1,1,14,13,0.000000," ","int(x^4*(b*x^2+a),x)","\frac{1}{7} b \,x^{7}+\frac{1}{5} a \,x^{5}"," ",0,"1/5*a*x^5+1/7*b*x^7","A"
2,1,14,13,0.000000," ","int(x^3*(b*x^2+a),x)","\frac{1}{6} b \,x^{6}+\frac{1}{4} a \,x^{4}"," ",0,"1/4*a*x^4+1/6*b*x^6","A"
3,1,14,13,0.000000," ","int(x^2*(b*x^2+a),x)","\frac{1}{5} b \,x^{5}+\frac{1}{3} a \,x^{3}"," ",0,"1/3*a*x^3+1/5*b*x^5","A"
4,1,14,13,0.000000," ","int(x*(b*x^2+a),x)","\frac{1}{4} b \,x^{4}+\frac{1}{2} a \,x^{2}"," ",0,"1/2*a*x^2+1/4*b*x^4","A"
5,1,11,10,0.000000," ","int(b*x^2+a,x)","\frac{1}{3} b \,x^{3}+a x"," ",0,"a*x+1/3*b*x^3","A"
6,1,12,11,0.004000," ","int((b*x^2+a)/x,x)","\frac{b \,x^{2}}{2}+a \ln \left(x \right)"," ",0,"1/2*b*x^2+a*ln(x)","A"
7,1,11,10,0.004000," ","int((b*x^2+a)/x^2,x)","b x -\frac{a}{x}"," ",0,"-a/x+b*x","A"
8,1,12,11,0.005000," ","int((b*x^2+a)/x^3,x)","b \ln \left(x \right)-\frac{a}{2 x^{2}}"," ",0,"-1/2*a/x^2+b*ln(x)","A"
9,1,14,13,0.006000," ","int((b*x^2+a)/x^4,x)","-\frac{b}{x}-\frac{a}{3 x^{3}}"," ",0,"-1/3*a/x^3-b/x","A"
10,1,14,13,0.004000," ","int((b*x^2+a)/x^5,x)","-\frac{b}{2 x^{2}}-\frac{a}{4 x^{4}}"," ",0,"-1/4*a/x^4-1/2*b/x^2","A"
11,1,14,13,0.006000," ","int((b*x^2+a)/x^6,x)","-\frac{b}{3 x^{3}}-\frac{a}{5 x^{5}}"," ",0,"-1/5*a/x^5-1/3*b/x^3","A"
12,1,14,13,0.006000," ","int((b*x^2+a)/x^7,x)","-\frac{b}{4 x^{4}}-\frac{a}{6 x^{6}}"," ",0,"-1/6*a/x^6-1/4*b/x^4","A"
13,1,25,24,0.001000," ","int(x^5*(b*x^2+a)^2,x)","\frac{1}{10} b^{2} x^{10}+\frac{1}{4} a b \,x^{8}+\frac{1}{6} a^{2} x^{6}"," ",0,"1/6*a^2*x^6+1/4*a*b*x^8+1/10*b^2*x^10","A"
14,1,25,24,0.001000," ","int(x^4*(b*x^2+a)^2,x)","\frac{1}{9} b^{2} x^{9}+\frac{2}{7} a b \,x^{7}+\frac{1}{5} a^{2} x^{5}"," ",0,"1/5*a^2*x^5+2/7*a*b*x^7+1/9*b^2*x^9","A"
15,1,25,24,0.002000," ","int(x^3*(b*x^2+a)^2,x)","\frac{1}{8} b^{2} x^{8}+\frac{1}{3} a b \,x^{6}+\frac{1}{4} a^{2} x^{4}"," ",0,"1/4*a^2*x^4+1/3*a*b*x^6+1/8*b^2*x^8","A"
16,1,25,24,0.001000," ","int(x^2*(b*x^2+a)^2,x)","\frac{1}{7} b^{2} x^{7}+\frac{2}{5} a b \,x^{5}+\frac{1}{3} a^{2} x^{3}"," ",0,"1/3*a^2*x^3+2/5*a*b*x^5+1/7*b^2*x^7","A"
17,1,25,14,0.000000," ","int(x*(b*x^2+a)^2,x)","\frac{1}{6} b^{2} x^{6}+\frac{1}{2} a b \,x^{4}+\frac{1}{2} a^{2} x^{2}"," ",0,"1/6*b^2*x^6+1/2*a*b*x^4+1/2*a^2*x^2","A"
18,1,22,21,0.001000," ","int((b*x^2+a)^2,x)","\frac{1}{5} b^{2} x^{5}+\frac{2}{3} a b \,x^{3}+a^{2} x"," ",0,"a^2*x+2/3*a*b*x^3+1/5*b^2*x^5","A"
19,1,22,21,0.003000," ","int((b*x^2+a)^2/x,x)","\frac{b^{2} x^{4}}{4}+a b \,x^{2}+a^{2} \ln \left(x \right)"," ",0,"a*b*x^2+1/4*b^2*x^4+a^2*ln(x)","A"
20,1,23,22,0.004000," ","int((b*x^2+a)^2/x^2,x)","\frac{b^{2} x^{3}}{3}+2 a b x -\frac{a^{2}}{x}"," ",0,"-a^2/x+2*a*b*x+1/3*b^2*x^3","A"
21,1,24,23,0.007000," ","int((b*x^2+a)^2/x^3,x)","\frac{b^{2} x^{2}}{2}+2 a b \ln \left(x \right)-\frac{a^{2}}{2 x^{2}}"," ",0,"-1/2*a^2/x^2+1/2*b^2*x^2+2*a*b*ln(x)","A"
22,1,22,21,0.006000," ","int((b*x^2+a)^2/x^4,x)","b^{2} x -\frac{2 a b}{x}-\frac{a^{2}}{3 x^{3}}"," ",0,"-1/3*a^2/x^3-2*a*b/x+b^2*x","A"
23,1,23,22,0.007000," ","int((b*x^2+a)^2/x^5,x)","b^{2} \ln \left(x \right)-\frac{a b}{x^{2}}-\frac{a^{2}}{4 x^{4}}"," ",0,"-1/4*a^2/x^4-a*b/x^2+b^2*ln(x)","A"
24,1,25,24,0.004000," ","int((b*x^2+a)^2/x^6,x)","-\frac{b^{2}}{x}-\frac{2 a b}{3 x^{3}}-\frac{a^{2}}{5 x^{5}}"," ",0,"-1/5*a^2/x^5-2/3*a*b/x^3-b^2/x","A"
25,1,25,17,0.006000," ","int((b*x^2+a)^2/x^7,x)","-\frac{b^{2}}{2 x^{2}}-\frac{a b}{2 x^{4}}-\frac{a^{2}}{6 x^{6}}"," ",0,"-1/6*a^2/x^6-1/2*b^2/x^2-1/2*a*b/x^4","A"
26,1,25,24,0.004000," ","int((b*x^2+a)^2/x^8,x)","-\frac{b^{2}}{3 x^{3}}-\frac{2 a b}{5 x^{5}}-\frac{a^{2}}{7 x^{7}}"," ",0,"-1/7*a^2/x^7-2/5*a*b/x^5-1/3*b^2/x^3","A"
27,1,25,24,0.006000," ","int((b*x^2+a)^2/x^9,x)","-\frac{b^{2}}{4 x^{4}}-\frac{a b}{3 x^{6}}-\frac{a^{2}}{8 x^{8}}"," ",0,"-1/8*a^2/x^8-1/3*a*b/x^6-1/4*b^2/x^4","A"
28,1,25,24,0.004000," ","int((b*x^2+a)^2/x^10,x)","-\frac{b^{2}}{5 x^{5}}-\frac{2 a b}{7 x^{7}}-\frac{a^{2}}{9 x^{9}}"," ",0,"-1/9*a^2/x^9-2/7*a*b/x^7-1/5*b^2/x^5","A"
29,1,36,35,0.000000," ","int(x^9*(b*x^2+a)^3,x)","\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,"1/10*a^3*x^10+1/4*a^2*b*x^12+3/14*a*b^2*x^14+1/16*b^3*x^16","A"
30,1,36,35,0.001000," ","int(x^7*(b*x^2+a)^3,x)","\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,"1/8*a^3*x^8+3/10*a^2*b*x^10+1/4*a*b^2*x^12+1/14*b^3*x^14","A"
31,1,36,35,0.001000," ","int(x^5*(b*x^2+a)^3,x)","\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,"1/6*a^3*x^6+3/8*a^2*b*x^8+3/10*a*b^2*x^10+1/12*b^3*x^12","A"
32,1,36,30,0.002000," ","int(x^3*(b*x^2+a)^3,x)","\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"
33,1,36,14,0.000000," ","int(x*(b*x^2+a)^3,x)","\frac{1}{8} b^{3} x^{8}+\frac{1}{2} a \,b^{2} x^{6}+\frac{3}{4} a^{2} b \,x^{4}+\frac{1}{2} a^{3} x^{2}"," ",0,"1/8*b^3*x^8+1/2*a*b^2*x^6+3/4*a^2*b*x^4+1/2*a^3*x^2","B"
34,1,34,33,0.002000," ","int((b*x^2+a)^3/x,x)","\frac{b^{3} x^{6}}{6}+\frac{3 a \,b^{2} x^{4}}{4}+\frac{3 a^{2} b \,x^{2}}{2}+a^{3} \ln \left(x \right)"," ",0,"3/2*a^2*b*x^2+3/4*a*b^2*x^4+1/6*b^3*x^6+a^3*ln(x)","A"
35,1,35,34,0.008000," ","int((b*x^2+a)^3/x^3,x)","\frac{b^{3} x^{4}}{4}+\frac{3 a \,b^{2} x^{2}}{2}+3 a^{2} b \ln \left(x \right)-\frac{a^{3}}{2 x^{2}}"," ",0,"-1/2*a^3/x^2+3/2*a*b^2*x^2+1/4*b^3*x^4+3*a^2*b*ln(x)","A"
36,1,35,34,0.007000," ","int((b*x^2+a)^3/x^5,x)","\frac{b^{3} x^{2}}{2}+3 a \,b^{2} \ln \left(x \right)-\frac{3 a^{2} b}{2 x^{2}}-\frac{a^{3}}{4 x^{4}}"," ",0,"-1/4*a^3/x^4-3/2*a^2*b/x^2+1/2*b^3*x^2+3*a*b^2*ln(x)","A"
37,1,34,33,0.007000," ","int((b*x^2+a)^3/x^7,x)","b^{3} \ln \left(x \right)-\frac{3 a \,b^{2}}{2 x^{2}}-\frac{3 a^{2} b}{4 x^{4}}-\frac{a^{3}}{6 x^{6}}"," ",0,"-1/6*a^3/x^6-3/4*a^2*b/x^4-3/2*a*b^2/x^2+b^3*ln(x)","A"
38,1,36,17,0.004000," ","int((b*x^2+a)^3/x^9,x)","-\frac{b^{3}}{2 x^{2}}-\frac{3 a \,b^{2}}{4 x^{4}}-\frac{a^{2} b}{2 x^{6}}-\frac{a^{3}}{8 x^{8}}"," ",0,"-1/2*a^2*b/x^6-1/2*b^3/x^2-3/4*a*b^2/x^4-1/8*a^3/x^8","B"
39,1,36,36,0.005000," ","int((b*x^2+a)^3/x^11,x)","-\frac{b^{3}}{4 x^{4}}-\frac{a \,b^{2}}{2 x^{6}}-\frac{3 a^{2} b}{8 x^{8}}-\frac{a^{3}}{10 x^{10}}"," ",0,"-1/2*a*b^2/x^6-1/4*b^3/x^4-1/10*a^3/x^10-3/8*a^2*b/x^8","A"
40,1,36,35,0.005000," ","int((b*x^2+a)^3/x^13,x)","-\frac{b^{3}}{6 x^{6}}-\frac{3 a \,b^{2}}{8 x^{8}}-\frac{3 a^{2} b}{10 x^{10}}-\frac{a^{3}}{12 x^{12}}"," ",0,"-1/12*a^3/x^12-3/10*a^2*b/x^10-3/8*a*b^2/x^8-1/6*b^3/x^6","A"
41,1,36,35,0.006000," ","int((b*x^2+a)^3/x^15,x)","-\frac{b^{3}}{8 x^{8}}-\frac{3 a \,b^{2}}{10 x^{10}}-\frac{a^{2} b}{4 x^{12}}-\frac{a^{3}}{14 x^{14}}"," ",0,"-1/14*a^3/x^14-1/4*a^2*b/x^12-3/10*a*b^2/x^10-1/8*b^3/x^8","A"
42,1,36,35,0.001000," ","int(x^6*(b*x^2+a)^3,x)","\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,"1/7*a^3*x^7+1/3*a^2*b*x^9+3/11*a*b^2*x^11+1/13*b^3*x^13","A"
43,1,36,35,0.000000," ","int(x^4*(b*x^2+a)^3,x)","\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,"1/5*a^3*x^5+3/7*a^2*b*x^7+1/3*a*b^2*x^9+1/11*b^3*x^11","A"
44,1,36,35,0.000000," ","int(x^2*(b*x^2+a)^3,x)","\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,"1/3*a^3*x^3+3/5*a^2*b*x^5+3/7*a*b^2*x^7+1/9*b^3*x^9","A"
45,1,32,31,0.000000," ","int((b*x^2+a)^3,x)","\frac{1}{7} b^{3} x^{7}+\frac{3}{5} a \,b^{2} x^{5}+a^{2} b \,x^{3}+a^{3} x"," ",0,"a^3*x+a^2*b*x^3+3/5*a*b^2*x^5+1/7*b^3*x^7","A"
46,1,33,32,0.003000," ","int((b*x^2+a)^3/x^2,x)","\frac{b^{3} x^{5}}{5}+a \,b^{2} x^{3}+3 a^{2} b x -\frac{a^{3}}{x}"," ",0,"-a^3/x+3*a^2*b*x+a*b^2*x^3+1/5*b^3*x^5","A"
47,1,34,33,0.006000," ","int((b*x^2+a)^3/x^4,x)","\frac{b^{3} x^{3}}{3}+3 a \,b^{2} x -\frac{3 a^{2} b}{x}-\frac{a^{3}}{3 x^{3}}"," ",0,"-1/3*a^3/x^3-3*a^2*b/x+3*a*b^2*x+1/3*b^3*x^3","A"
48,1,33,32,0.005000," ","int((b*x^2+a)^3/x^6,x)","b^{3} x -\frac{3 a \,b^{2}}{x}-\frac{a^{2} b}{x^{3}}-\frac{a^{3}}{5 x^{5}}"," ",0,"-1/5*a^3/x^5-a^2*b/x^3-3*a*b^2/x+b^3*x","A"
49,1,36,35,0.005000," ","int((b*x^2+a)^3/x^8,x)","-\frac{b^{3}}{x}-\frac{a \,b^{2}}{x^{3}}-\frac{3 a^{2} b}{5 x^{5}}-\frac{a^{3}}{7 x^{7}}"," ",0,"-1/7*a^3/x^7-3/5*a^2*b/x^5-a*b^2/x^3-b^3/x","A"
50,1,36,35,0.006000," ","int((b*x^2+a)^3/x^10,x)","-\frac{b^{3}}{3 x^{3}}-\frac{3 a \,b^{2}}{5 x^{5}}-\frac{3 a^{2} b}{7 x^{7}}-\frac{a^{3}}{9 x^{9}}"," ",0,"-1/9*a^3/x^9-3/7*a^2*b/x^7-3/5*a*b^2/x^5-1/3*b^3/x^3","A"
51,1,36,35,0.005000," ","int((b*x^2+a)^3/x^12,x)","-\frac{b^{3}}{5 x^{5}}-\frac{3 a \,b^{2}}{7 x^{7}}-\frac{a^{2} b}{3 x^{9}}-\frac{a^{3}}{11 x^{11}}"," ",0,"-1/11*a^3/x^11-1/3*a^2*b/x^9-3/7*a*b^2/x^7-1/5*b^3/x^5","A"
52,1,58,57,0.001000," ","int(x^13*(b*x^2+a)^5,x)","\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,"1/14*a^5*x^14+5/16*a^4*b*x^16+5/9*a^3*b^2*x^18+1/2*a^2*b^3*x^20+5/22*a*b^4*x^22+1/24*b^5*x^24","A"
53,1,58,57,0.000000," ","int(x^11*(b*x^2+a)^5,x)","\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,"1/12*a^5*x^12+5/14*a^4*b*x^14+5/8*a^3*b^2*x^16+5/9*a^2*b^3*x^18+1/4*a*b^4*x^20+1/22*b^5*x^22","A"
54,1,58,57,0.001000," ","int(x^9*(b*x^2+a)^5,x)","\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,"1/10*a^5*x^10+5/12*a^4*b*x^12+5/7*a^3*b^2*x^14+5/8*a^2*b^3*x^16+5/18*a*b^4*x^18+1/20*b^5*x^20","A"
55,1,58,64,0.000000," ","int(x^7*(b*x^2+a)^5,x)","\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"
56,1,57,47,0.002000," ","int(x^5*(b*x^2+a)^5,x)","\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"
57,1,57,30,0.002000," ","int(x^3*(b*x^2+a)^5,x)","\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"
58,1,58,14,0.002000," ","int(x*(b*x^2+a)^5,x)","\frac{1}{12} b^{5} x^{12}+\frac{1}{2} a \,b^{4} x^{10}+\frac{5}{4} a^{2} b^{3} x^{8}+\frac{5}{3} a^{3} b^{2} x^{6}+\frac{5}{4} a^{4} b \,x^{4}+\frac{1}{2} a^{5} x^{2}"," ",0,"1/12*b^5*x^12+1/2*a*b^4*x^10+5/4*a^2*b^3*x^8+5/3*a^3*b^2*x^6+5/4*a^4*b*x^4+1/2*a^5*x^2","B"
59,1,56,55,0.003000," ","int((b*x^2+a)^5/x,x)","\frac{b^{5} x^{10}}{10}+\frac{5 a \,b^{4} x^{8}}{8}+\frac{5 a^{2} b^{3} x^{6}}{3}+\frac{5 a^{3} b^{2} x^{4}}{2}+\frac{5 a^{4} b \,x^{2}}{2}+a^{5} \ln \left(x \right)"," ",0,"5/2*a^4*b*x^2+5/2*a^3*b^2*x^4+5/3*a^2*b^3*x^6+5/8*a*b^4*x^8+1/10*b^5*x^10+a^5*ln(x)","A"
60,1,57,56,0.005000," ","int((b*x^2+a)^5/x^3,x)","\frac{b^{5} x^{8}}{8}+\frac{5 a \,b^{4} x^{6}}{6}+\frac{5 a^{2} b^{3} x^{4}}{2}+5 a^{3} b^{2} x^{2}+5 a^{4} b \ln \left(x \right)-\frac{a^{5}}{2 x^{2}}"," ",0,"-1/2*a^5/x^2+5*a^3*b^2*x^2+5/2*a^2*b^3*x^4+5/6*a*b^4*x^6+1/8*b^5*x^8+5*a^4*b*ln(x)","A"
61,1,57,56,0.005000," ","int((b*x^2+a)^5/x^5,x)","\frac{b^{5} x^{6}}{6}+\frac{5 a \,b^{4} x^{4}}{4}+5 a^{2} b^{3} x^{2}+10 a^{3} b^{2} \ln \left(x \right)-\frac{5 a^{4} b}{2 x^{2}}-\frac{a^{5}}{4 x^{4}}"," ",0,"-1/4*a^5/x^4-5/2*a^4*b/x^2+5*a^2*b^3*x^2+5/4*a*b^4*x^4+1/6*b^5*x^6+10*a^3*b^2*ln(x)","A"
62,1,57,56,0.006000," ","int((b*x^2+a)^5/x^7,x)","\frac{b^{5} x^{4}}{4}+\frac{5 a \,b^{4} x^{2}}{2}+10 a^{2} b^{3} \ln \left(x \right)-\frac{5 a^{3} b^{2}}{x^{2}}-\frac{5 a^{4} b}{4 x^{4}}-\frac{a^{5}}{6 x^{6}}"," ",0,"-1/6*a^5/x^6-5/4*a^4*b/x^4-5*a^3*b^2/x^2+5/2*a*b^4*x^2+1/4*b^5*x^4+10*a^2*b^3*ln(x)","A"
63,1,57,56,0.007000," ","int((b*x^2+a)^5/x^9,x)","\frac{b^{5} x^{2}}{2}+5 a \,b^{4} \ln \left(x \right)-\frac{5 a^{2} b^{3}}{x^{2}}-\frac{5 a^{3} b^{2}}{2 x^{4}}-\frac{5 a^{4} b}{6 x^{6}}-\frac{a^{5}}{8 x^{8}}"," ",0,"-1/8*a^5/x^8-5/6*a^4*b/x^6-5/2*a^3*b^2/x^4-5*a^2*b^3/x^2+1/2*b^5*x^2+5*a*b^4*ln(x)","A"
64,1,56,55,0.007000," ","int((b*x^2+a)^5/x^11,x)","b^{5} \ln \left(x \right)-\frac{5 a \,b^{4}}{2 x^{2}}-\frac{5 a^{2} b^{3}}{2 x^{4}}-\frac{5 a^{3} b^{2}}{3 x^{6}}-\frac{5 a^{4} b}{8 x^{8}}-\frac{a^{5}}{10 x^{10}}"," ",0,"-1/10*a^5/x^10-5/8*a^4*b/x^8-5/3*a^3*b^2/x^6-5/2*a^2*b^3/x^4-5/2*a*b^4/x^2+b^5*ln(x)","A"
65,1,58,17,0.007000," ","int((b*x^2+a)^5/x^13,x)","-\frac{b^{5}}{2 x^{2}}-\frac{5 a \,b^{4}}{4 x^{4}}-\frac{5 a^{2} b^{3}}{3 x^{6}}-\frac{5 a^{3} b^{2}}{4 x^{8}}-\frac{a^{4} b}{2 x^{10}}-\frac{a^{5}}{12 x^{12}}"," ",0,"-5/3*a^2*b^3/x^6-1/2*b^5/x^2-5/4*a*b^4/x^4-1/2*a^4*b/x^10-1/12*a^5/x^12-5/4*a^3*b^2/x^8","B"
66,1,58,36,0.004000," ","int((b*x^2+a)^5/x^15,x)","-\frac{b^{5}}{4 x^{4}}-\frac{5 a \,b^{4}}{6 x^{6}}-\frac{5 a^{2} b^{3}}{4 x^{8}}-\frac{a^{3} b^{2}}{x^{10}}-\frac{5 a^{4} b}{12 x^{12}}-\frac{a^{5}}{14 x^{14}}"," ",0,"-5/12*a^4*b/x^12-5/6*a*b^4/x^6-1/4*b^5/x^4-a^3*b^2/x^10-5/4*a^2*b^3/x^8-1/14*a^5/x^14","A"
67,1,58,56,0.007000," ","int((b*x^2+a)^5/x^17,x)","-\frac{b^{5}}{6 x^{6}}-\frac{5 a \,b^{4}}{8 x^{8}}-\frac{a^{2} b^{3}}{x^{10}}-\frac{5 a^{3} b^{2}}{6 x^{12}}-\frac{5 a^{4} b}{14 x^{14}}-\frac{a^{5}}{16 x^{16}}"," ",0,"-1/6*b^5/x^6-1/16*a^5/x^16-5/6*a^3*b^2/x^12-a^2*b^3/x^10-5/8*a*b^4/x^8-5/14*a^4*b/x^14","A"
68,1,58,57,0.006000," ","int((b*x^2+a)^5/x^19,x)","-\frac{b^{5}}{8 x^{8}}-\frac{a \,b^{4}}{2 x^{10}}-\frac{5 a^{2} b^{3}}{6 x^{12}}-\frac{5 a^{3} b^{2}}{7 x^{14}}-\frac{5 a^{4} b}{16 x^{16}}-\frac{a^{5}}{18 x^{18}}"," ",0,"-1/18*a^5/x^18-5/16*a^4*b/x^16-5/7*a^3*b^2/x^14-5/6*a^2*b^3/x^12-1/2*a*b^4/x^10-1/8*b^5/x^8","A"
69,1,58,57,0.005000," ","int((b*x^2+a)^5/x^21,x)","-\frac{b^{5}}{10 x^{10}}-\frac{5 a \,b^{4}}{12 x^{12}}-\frac{5 a^{2} b^{3}}{7 x^{14}}-\frac{5 a^{3} b^{2}}{8 x^{16}}-\frac{5 a^{4} b}{18 x^{18}}-\frac{a^{5}}{20 x^{20}}"," ",0,"-1/20*a^5/x^20-5/18*a^4*b/x^18-5/8*a^3*b^2/x^16-5/7*a^2*b^3/x^14-5/12*a*b^4/x^12-1/10*b^5/x^10","A"
70,1,58,57,0.001000," ","int(x^8*(b*x^2+a)^5,x)","\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,"1/9*a^5*x^9+5/11*a^4*b*x^11+10/13*a^3*b^2*x^13+2/3*a^2*b^3*x^15+5/17*a*b^4*x^17+1/19*b^5*x^19","A"
71,1,58,57,0.002000," ","int(x^6*(b*x^2+a)^5,x)","\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,"1/7*a^5*x^7+5/9*a^4*b*x^9+10/11*a^3*b^2*x^11+10/13*a^2*b^3*x^13+1/3*a*b^4*x^15+1/17*b^5*x^17","A"
72,1,58,57,0.001000," ","int(x^4*(b*x^2+a)^5,x)","\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,"1/5*a^5*x^5+5/7*a^4*b*x^7+10/9*a^3*b^2*x^9+10/11*a^2*b^3*x^11+5/13*a*b^4*x^13+1/15*b^5*x^15","A"
73,1,57,56,0.002000," ","int(x^2*(b*x^2+a)^5,x)","\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,"1/3*a^5*x^3+a^4*b*x^5+10/7*a^3*b^2*x^7+10/9*a^2*b^3*x^9+5/11*a*b^4*x^11+1/13*b^5*x^13","A"
74,1,55,54,0.001000," ","int((b*x^2+a)^5,x)","\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,"a^5*x+5/3*a^4*b*x^3+2*a^3*b^2*x^5+10/7*a^2*b^3*x^7+5/9*a*b^4*x^9+1/11*b^5*x^11","A"
75,1,56,55,0.005000," ","int((b*x^2+a)^5/x^2,x)","\frac{b^{5} x^{9}}{9}+\frac{5 a \,b^{4} x^{7}}{7}+2 a^{2} b^{3} x^{5}+\frac{10 a^{3} b^{2} x^{3}}{3}+5 a^{4} b x -\frac{a^{5}}{x}"," ",0,"-a^5/x+5*a^4*b*x+10/3*a^3*b^2*x^3+2*a^2*b^3*x^5+5/7*a*b^4*x^7+1/9*b^5*x^9","A"
76,1,55,54,0.005000," ","int((b*x^2+a)^5/x^4,x)","\frac{b^{5} x^{7}}{7}+a \,b^{4} x^{5}+\frac{10 a^{2} b^{3} x^{3}}{3}+10 a^{3} b^{2} x -\frac{5 a^{4} b}{x}-\frac{a^{5}}{3 x^{3}}"," ",0,"-1/3*a^5/x^3-5*a^4*b/x+10*a^3*b^2*x+10/3*a^2*b^3*x^3+a*b^4*x^5+1/7*b^5*x^7","A"
77,1,56,55,0.005000," ","int((b*x^2+a)^5/x^6,x)","\frac{b^{5} x^{5}}{5}+\frac{5 a \,b^{4} x^{3}}{3}+10 a^{2} b^{3} x -\frac{10 a^{3} b^{2}}{x}-\frac{5 a^{4} b}{3 x^{3}}-\frac{a^{5}}{5 x^{5}}"," ",0,"-1/5*a^5/x^5-5/3*a^4*b/x^3-10*a^3*b^2/x+10*a^2*b^3*x+5/3*a*b^4*x^3+1/5*b^5*x^5","A"
78,1,56,55,0.007000," ","int((b*x^2+a)^5/x^8,x)","\frac{b^{5} x^{3}}{3}+5 a \,b^{4} x -\frac{10 a^{2} b^{3}}{x}-\frac{10 a^{3} b^{2}}{3 x^{3}}-\frac{a^{4} b}{x^{5}}-\frac{a^{5}}{7 x^{7}}"," ",0,"-1/7*a^5/x^7-a^4*b/x^5-10/3*a^3*b^2/x^3-10*a^2*b^3/x+5*a*b^4*x+1/3*b^5*x^3","A"
79,1,55,54,0.008000," ","int((b*x^2+a)^5/x^10,x)","b^{5} x -\frac{5 a \,b^{4}}{x}-\frac{10 a^{2} b^{3}}{3 x^{3}}-\frac{2 a^{3} b^{2}}{x^{5}}-\frac{5 a^{4} b}{7 x^{7}}-\frac{a^{5}}{9 x^{9}}"," ",0,"-1/9*a^5/x^9-5/7*a^4*b/x^7-2*a^3*b^2/x^5-10/3*a^2*b^3/x^3-5*a*b^4/x+b^5*x","A"
80,1,58,57,0.006000," ","int((b*x^2+a)^5/x^12,x)","-\frac{b^{5}}{x}-\frac{5 a \,b^{4}}{3 x^{3}}-\frac{2 a^{2} b^{3}}{x^{5}}-\frac{10 a^{3} b^{2}}{7 x^{7}}-\frac{5 a^{4} b}{9 x^{9}}-\frac{a^{5}}{11 x^{11}}"," ",0,"-1/11*a^5/x^11-5/9*a^4*b/x^9-10/7*a^3*b^2/x^7-2*a^2*b^3/x^5-5/3*a*b^4/x^3-b^5/x","A"
81,1,58,57,0.006000," ","int((b*x^2+a)^5/x^14,x)","-\frac{b^{5}}{3 x^{3}}-\frac{a \,b^{4}}{x^{5}}-\frac{10 a^{2} b^{3}}{7 x^{7}}-\frac{10 a^{3} b^{2}}{9 x^{9}}-\frac{5 a^{4} b}{11 x^{11}}-\frac{a^{5}}{13 x^{13}}"," ",0,"-1/13*a^5/x^13-5/11*a^4*b/x^11-10/9*a^3*b^2/x^9-10/7*a^2*b^3/x^7-a*b^4/x^5-1/3*b^5/x^3","A"
82,1,58,57,0.006000," ","int((b*x^2+a)^5/x^16,x)","-\frac{b^{5}}{5 x^{5}}-\frac{5 a \,b^{4}}{7 x^{7}}-\frac{10 a^{2} b^{3}}{9 x^{9}}-\frac{10 a^{3} b^{2}}{11 x^{11}}-\frac{5 a^{4} b}{13 x^{13}}-\frac{a^{5}}{15 x^{15}}"," ",0,"-1/15*a^5/x^15-5/13*a^4*b/x^13-10/11*a^3*b^2/x^11-10/9*a^2*b^3/x^9-5/7*a*b^4/x^7-1/5*b^5/x^5","A"
83,1,58,57,0.004000," ","int((b*x^2+a)^5/x^18,x)","-\frac{b^{5}}{7 x^{7}}-\frac{5 a \,b^{4}}{9 x^{9}}-\frac{10 a^{2} b^{3}}{11 x^{11}}-\frac{10 a^{3} b^{2}}{13 x^{13}}-\frac{a^{4} b}{3 x^{15}}-\frac{a^{5}}{17 x^{17}}"," ",0,"-1/17*a^5/x^17-1/3*a^4*b/x^15-10/13*a^3*b^2/x^13-10/11*a^2*b^3/x^11-5/9*a*b^4/x^9-1/7*b^5/x^7","A"
84,1,58,57,0.007000," ","int((b*x^2+a)^5/x^20,x)","-\frac{b^{5}}{9 x^{9}}-\frac{5 a \,b^{4}}{11 x^{11}}-\frac{10 a^{2} b^{3}}{13 x^{13}}-\frac{2 a^{3} b^{2}}{3 x^{15}}-\frac{5 a^{4} b}{17 x^{17}}-\frac{a^{5}}{19 x^{19}}"," ",0,"-1/19*a^5/x^19-5/17*a^4*b/x^17-2/3*a^3*b^2/x^15-10/13*a^2*b^3/x^13-5/11*a*b^4/x^11-1/9*b^5/x^9","A"
85,1,91,115,0.002000," ","int(x^13*(b*x^2+a)^8,x)","\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"
86,1,91,98,0.001000," ","int(x^11*(b*x^2+a)^8,x)","\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"
87,1,91,81,0.001000," ","int(x^9*(b*x^2+a)^8,x)","\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"
88,1,91,64,0.001000," ","int(x^7*(b*x^2+a)^8,x)","\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"
89,1,90,47,0.001000," ","int(x^5*(b*x^2+a)^8,x)","\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"
90,1,91,30,0.000000," ","int(x^3*(b*x^2+a)^8,x)","\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"
91,1,91,14,0.001000," ","int(x*(b*x^2+a)^8,x)","\frac{1}{18} b^{8} x^{18}+\frac{1}{2} a \,b^{7} x^{16}+2 a^{2} b^{6} x^{14}+\frac{14}{3} a^{3} b^{5} x^{12}+7 a^{4} b^{4} x^{10}+7 a^{5} b^{3} x^{8}+\frac{14}{3} a^{6} b^{2} x^{6}+2 a^{7} b \,x^{4}+\frac{1}{2} a^{8} x^{2}"," ",0,"1/18*b^8*x^18+1/2*a*b^7*x^16+2*a^2*b^6*x^14+14/3*a^3*b^5*x^12+7*a^4*b^4*x^10+7*a^5*b^3*x^8+14/3*a^6*b^2*x^6+2*a^7*b*x^4+1/2*a^8*x^2","B"
92,1,89,88,0.003000," ","int((b*x^2+a)^8/x,x)","\frac{b^{8} x^{16}}{16}+\frac{4 a \,b^{7} x^{14}}{7}+\frac{7 a^{2} b^{6} x^{12}}{3}+\frac{28 a^{3} b^{5} x^{10}}{5}+\frac{35 a^{4} b^{4} x^{8}}{4}+\frac{28 a^{5} b^{3} x^{6}}{3}+7 a^{6} b^{2} x^{4}+4 a^{7} b \,x^{2}+a^{8} \ln \left(x \right)"," ",0,"4*a^7*b*x^2+7*a^6*b^2*x^4+28/3*a^5*b^3*x^6+35/4*a^4*b^4*x^8+28/5*a^3*b^5*x^10+7/3*a^2*b^6*x^12+4/7*a*b^7*x^14+1/16*b^8*x^16+a^8*ln(x)","A"
93,1,90,89,0.007000," ","int((b*x^2+a)^8/x^3,x)","\frac{b^{8} x^{14}}{14}+\frac{2 a \,b^{7} x^{12}}{3}+\frac{14 a^{2} b^{6} x^{10}}{5}+7 a^{3} b^{5} x^{8}+\frac{35 a^{4} b^{4} x^{6}}{3}+14 a^{5} b^{3} x^{4}+14 a^{6} b^{2} x^{2}+8 a^{7} b \ln \left(x \right)-\frac{a^{8}}{2 x^{2}}"," ",0,"-1/2*a^8/x^2+14*a^6*b^2*x^2+14*a^5*b^3*x^4+35/3*a^4*b^4*x^6+7*a^3*b^5*x^8+14/5*a^2*b^6*x^10+2/3*a*b^7*x^12+1/14*b^8*x^14+8*a^7*b*ln(x)","A"
94,1,90,89,0.007000," ","int((b*x^2+a)^8/x^5,x)","\frac{b^{8} x^{12}}{12}+\frac{4 a \,b^{7} x^{10}}{5}+\frac{7 a^{2} b^{6} x^{8}}{2}+\frac{28 a^{3} b^{5} x^{6}}{3}+\frac{35 a^{4} b^{4} x^{4}}{2}+28 a^{5} b^{3} x^{2}+28 a^{6} b^{2} \ln \left(x \right)-\frac{4 a^{7} b}{x^{2}}-\frac{a^{8}}{4 x^{4}}"," ",0,"-1/4*a^8/x^4-4*a^7*b/x^2+28*a^5*b^3*x^2+35/2*a^4*b^4*x^4+28/3*a^3*b^5*x^6+7/2*a^2*b^6*x^8+4/5*a*b^7*x^10+1/12*b^8*x^12+28*a^6*b^2*ln(x)","A"
95,1,89,88,0.007000," ","int((b*x^2+a)^8/x^7,x)","\frac{b^{8} x^{10}}{10}+a \,b^{7} x^{8}+\frac{14 a^{2} b^{6} x^{6}}{3}+14 a^{3} b^{5} x^{4}+35 a^{4} b^{4} x^{2}+56 a^{5} b^{3} \ln \left(x \right)-\frac{14 a^{6} b^{2}}{x^{2}}-\frac{2 a^{7} b}{x^{4}}-\frac{a^{8}}{6 x^{6}}"," ",0,"-1/6*a^8/x^6-2*a^7*b/x^4-14*a^6*b^2/x^2+35*a^4*b^4*x^2+14*a^3*b^5*x^4+14/3*a^2*b^6*x^6+a*b^7*x^8+1/10*b^8*x^10+56*a^5*b^3*ln(x)","A"
96,1,90,89,0.008000," ","int((b*x^2+a)^8/x^9,x)","\frac{b^{8} x^{8}}{8}+\frac{4 a \,b^{7} x^{6}}{3}+7 a^{2} b^{6} x^{4}+28 a^{3} b^{5} x^{2}+70 a^{4} b^{4} \ln \left(x \right)-\frac{28 a^{5} b^{3}}{x^{2}}-\frac{7 a^{6} b^{2}}{x^{4}}-\frac{4 a^{7} b}{3 x^{6}}-\frac{a^{8}}{8 x^{8}}"," ",0,"-1/8*a^8/x^8-4/3*a^7*b/x^6-7*a^6*b^2/x^4-28*a^5*b^3/x^2+28*a^3*b^5*x^2+7*a^2*b^6*x^4+4/3*a*b^7*x^6+1/8*b^8*x^8+70*a^4*b^4*ln(x)","A"
97,1,90,89,0.007000," ","int((b*x^2+a)^8/x^11,x)","\frac{b^{8} x^{6}}{6}+2 a \,b^{7} x^{4}+14 a^{2} b^{6} x^{2}+56 a^{3} b^{5} \ln \left(x \right)-\frac{35 a^{4} b^{4}}{x^{2}}-\frac{14 a^{5} b^{3}}{x^{4}}-\frac{14 a^{6} b^{2}}{3 x^{6}}-\frac{a^{7} b}{x^{8}}-\frac{a^{8}}{10 x^{10}}"," ",0,"-1/10*a^8/x^10-a^7*b/x^8-14/3*a^6*b^2/x^6-14*a^5*b^3/x^4-35*a^4*b^4/x^2+14*a^2*b^6*x^2+2*a*b^7*x^4+1/6*b^8*x^6+56*a^3*b^5*ln(x)","A"
98,1,90,89,0.008000," ","int((b*x^2+a)^8/x^13,x)","\frac{b^{8} x^{4}}{4}+4 a \,b^{7} x^{2}+28 a^{2} b^{6} \ln \left(x \right)-\frac{28 a^{3} b^{5}}{x^{2}}-\frac{35 a^{4} b^{4}}{2 x^{4}}-\frac{28 a^{5} b^{3}}{3 x^{6}}-\frac{7 a^{6} b^{2}}{2 x^{8}}-\frac{4 a^{7} b}{5 x^{10}}-\frac{a^{8}}{12 x^{12}}"," ",0,"-1/12*a^8/x^12-4/5*a^7*b/x^10-7/2*a^6*b^2/x^8-28/3*a^5*b^3/x^6-35/2*a^4*b^4/x^4-28*a^3*b^5/x^2+4*a*b^7*x^2+1/4*b^8*x^4+28*a^2*b^6*ln(x)","A"
99,1,90,89,0.009000," ","int((b*x^2+a)^8/x^15,x)","\frac{b^{8} x^{2}}{2}+8 a \,b^{7} \ln \left(x \right)-\frac{14 a^{2} b^{6}}{x^{2}}-\frac{14 a^{3} b^{5}}{x^{4}}-\frac{35 a^{4} b^{4}}{3 x^{6}}-\frac{7 a^{5} b^{3}}{x^{8}}-\frac{14 a^{6} b^{2}}{5 x^{10}}-\frac{2 a^{7} b}{3 x^{12}}-\frac{a^{8}}{14 x^{14}}"," ",0,"-1/14*a^8/x^14-2/3*a^7*b/x^12-14/5*a^6*b^2/x^10-7*a^5*b^3/x^8-35/3*a^4*b^4/x^6-14*a^3*b^5/x^4-14*a^2*b^6/x^2+1/2*b^8*x^2+8*a*b^7*ln(x)","A"
100,1,89,88,0.009000," ","int((b*x^2+a)^8/x^17,x)","b^{8} \ln \left(x \right)-\frac{4 a \,b^{7}}{x^{2}}-\frac{7 a^{2} b^{6}}{x^{4}}-\frac{28 a^{3} b^{5}}{3 x^{6}}-\frac{35 a^{4} b^{4}}{4 x^{8}}-\frac{28 a^{5} b^{3}}{5 x^{10}}-\frac{7 a^{6} b^{2}}{3 x^{12}}-\frac{4 a^{7} b}{7 x^{14}}-\frac{a^{8}}{16 x^{16}}"," ",0,"-1/16*a^8/x^16-4/7*a^7*b/x^14-7/3*a^6*b^2/x^12-28/5*a^5*b^3/x^10-35/4*a^4*b^4/x^8-28/3*a^3*b^5/x^6-7*a^2*b^6/x^4-4*a*b^7/x^2+b^8*ln(x)","A"
101,1,91,17,0.006000," ","int((b*x^2+a)^8/x^19,x)","-\frac{b^{8}}{2 x^{2}}-\frac{2 a \,b^{7}}{x^{4}}-\frac{14 a^{2} b^{6}}{3 x^{6}}-\frac{7 a^{3} b^{5}}{x^{8}}-\frac{7 a^{4} b^{4}}{x^{10}}-\frac{14 a^{5} b^{3}}{3 x^{12}}-\frac{2 a^{6} b^{2}}{x^{14}}-\frac{a^{7} b}{2 x^{16}}-\frac{a^{8}}{18 x^{18}}"," ",0,"-14/3*a^2*b^6/x^6-1/18*a^8/x^18-1/2*a^7*b/x^16-1/2*b^8/x^2-2*a*b^7/x^4-7*a^4*b^4/x^10-14/3*a^5*b^3/x^12-7*a^3*b^5/x^8-2*a^6*b^2/x^14","B"
102,1,91,36,0.007000," ","int((b*x^2+a)^8/x^21,x)","-\frac{b^{8}}{4 x^{4}}-\frac{4 a \,b^{7}}{3 x^{6}}-\frac{7 a^{2} b^{6}}{2 x^{8}}-\frac{28 a^{3} b^{5}}{5 x^{10}}-\frac{35 a^{4} b^{4}}{6 x^{12}}-\frac{4 a^{5} b^{3}}{x^{14}}-\frac{7 a^{6} b^{2}}{4 x^{16}}-\frac{4 a^{7} b}{9 x^{18}}-\frac{a^{8}}{20 x^{20}}"," ",0,"-7/4*a^6*b^2/x^16-4/3*a*b^7/x^6-1/20*a^8/x^20-1/4*b^8/x^4-28/5*a^3*b^5/x^10-4/9*a^7*b/x^18-35/6*a^4*b^4/x^12-7/2*a^2*b^6/x^8-4*a^5*b^3/x^14","B"
103,1,91,56,0.007000," ","int((b*x^2+a)^8/x^23,x)","-\frac{b^{8}}{6 x^{6}}-\frac{a \,b^{7}}{x^{8}}-\frac{14 a^{2} b^{6}}{5 x^{10}}-\frac{14 a^{3} b^{5}}{3 x^{12}}-\frac{5 a^{4} b^{4}}{x^{14}}-\frac{7 a^{5} b^{3}}{2 x^{16}}-\frac{14 a^{6} b^{2}}{9 x^{18}}-\frac{2 a^{7} b}{5 x^{20}}-\frac{a^{8}}{22 x^{22}}"," ",0,"-1/6*b^8/x^6-7/2*a^5*b^3/x^16-2/5*a^7*b/x^20-14/9*a^6*b^2/x^18-14/5*a^2*b^6/x^10-14/3*a^3*b^5/x^12-a*b^7/x^8-5*a^4*b^4/x^14-1/22*a^8/x^22","A"
104,1,91,76,0.006000," ","int((b*x^2+a)^8/x^25,x)","-\frac{b^{8}}{8 x^{8}}-\frac{4 a \,b^{7}}{5 x^{10}}-\frac{7 a^{2} b^{6}}{3 x^{12}}-\frac{4 a^{3} b^{5}}{x^{14}}-\frac{35 a^{4} b^{4}}{8 x^{16}}-\frac{28 a^{5} b^{3}}{9 x^{18}}-\frac{7 a^{6} b^{2}}{5 x^{20}}-\frac{4 a^{7} b}{11 x^{22}}-\frac{a^{8}}{24 x^{24}}"," ",0,"-28/9*a^5*b^3/x^18-35/8*a^4*b^4/x^16-7/5*a^6*b^2/x^20-1/24*a^8/x^24-4/5*a*b^7/x^10-7/3*a^2*b^6/x^12-1/8*b^8/x^8-4/11*a^7*b/x^22-4*a^3*b^5/x^14","A"
105,1,91,96,0.007000," ","int((b*x^2+a)^8/x^27,x)","-\frac{b^{8}}{10 x^{10}}-\frac{2 a \,b^{7}}{3 x^{12}}-\frac{2 a^{2} b^{6}}{x^{14}}-\frac{7 a^{3} b^{5}}{2 x^{16}}-\frac{35 a^{4} b^{4}}{9 x^{18}}-\frac{14 a^{5} b^{3}}{5 x^{20}}-\frac{14 a^{6} b^{2}}{11 x^{22}}-\frac{a^{7} b}{3 x^{24}}-\frac{a^{8}}{26 x^{26}}"," ",0,"-1/3*a^7*b/x^24-35/9*a^4*b^4/x^18-14/5*a^5*b^3/x^20-1/26*a^8/x^26-14/11*a^6*b^2/x^22-1/10*b^8/x^10-2/3*a*b^7/x^12-2*a^2*b^6/x^14-7/2*a^3*b^5/x^16","A"
106,1,91,90,0.006000," ","int((b*x^2+a)^8/x^29,x)","-\frac{b^{8}}{12 x^{12}}-\frac{4 a \,b^{7}}{7 x^{14}}-\frac{7 a^{2} b^{6}}{4 x^{16}}-\frac{28 a^{3} b^{5}}{9 x^{18}}-\frac{7 a^{4} b^{4}}{2 x^{20}}-\frac{28 a^{5} b^{3}}{11 x^{22}}-\frac{7 a^{6} b^{2}}{6 x^{24}}-\frac{4 a^{7} b}{13 x^{26}}-\frac{a^{8}}{28 x^{28}}"," ",0,"-1/28*a^8/x^28-4/13*a^7*b/x^26-7/6*a^6*b^2/x^24-28/11*a^5*b^3/x^22-7/2*a^4*b^4/x^20-28/9*a^3*b^5/x^18-7/4*a^2*b^6/x^16-4/7*a*b^7/x^14-1/12*b^8/x^12","A"
107,1,91,90,0.006000," ","int((b*x^2+a)^8/x^31,x)","-\frac{b^{8}}{14 x^{14}}-\frac{a \,b^{7}}{2 x^{16}}-\frac{14 a^{2} b^{6}}{9 x^{18}}-\frac{14 a^{3} b^{5}}{5 x^{20}}-\frac{35 a^{4} b^{4}}{11 x^{22}}-\frac{7 a^{5} b^{3}}{3 x^{24}}-\frac{14 a^{6} b^{2}}{13 x^{26}}-\frac{2 a^{7} b}{7 x^{28}}-\frac{a^{8}}{30 x^{30}}"," ",0,"-1/30*a^8/x^30-2/7*a^7*b/x^28-14/13*a^6*b^2/x^26-7/3*a^5*b^3/x^24-35/11*a^4*b^4/x^22-14/5*a^3*b^5/x^20-14/9*a^2*b^6/x^18-1/2*a*b^7/x^16-1/14*b^8/x^14","A"
108,1,91,90,0.007000," ","int((b*x^2+a)^8/x^33,x)","-\frac{b^{8}}{16 x^{16}}-\frac{4 a \,b^{7}}{9 x^{18}}-\frac{7 a^{2} b^{6}}{5 x^{20}}-\frac{28 a^{3} b^{5}}{11 x^{22}}-\frac{35 a^{4} b^{4}}{12 x^{24}}-\frac{28 a^{5} b^{3}}{13 x^{26}}-\frac{a^{6} b^{2}}{x^{28}}-\frac{4 a^{7} b}{15 x^{30}}-\frac{a^{8}}{32 x^{32}}"," ",0,"-1/32*a^8/x^32-4/15*a^7*b/x^30-a^6*b^2/x^28-28/13*a^5*b^3/x^26-35/12*a^4*b^4/x^24-28/11*a^3*b^5/x^22-7/5*a^2*b^6/x^20-4/9*a*b^7/x^18-1/16*b^8/x^16","A"
109,1,91,90,0.003000," ","int(x^8*(b*x^2+a)^8,x)","\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,"1/9*a^8*x^9+8/11*a^7*b*x^11+28/13*a^6*b^2*x^13+56/15*a^5*b^3*x^15+70/17*a^4*b^4*x^17+56/19*a^3*b^5*x^19+4/3*a^2*b^6*x^21+8/23*a*b^7*x^23+1/25*b^8*x^25","A"
110,1,91,90,0.002000," ","int(x^6*(b*x^2+a)^8,x)","\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,"1/7*a^8*x^7+8/9*a^7*b*x^9+28/11*a^6*b^2*x^11+56/13*a^5*b^3*x^13+14/3*a^4*b^4*x^15+56/17*a^3*b^5*x^17+28/19*a^2*b^6*x^19+8/21*a*b^7*x^21+1/23*b^8*x^23","A"
111,1,91,90,0.001000," ","int(x^4*(b*x^2+a)^8,x)","\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,"1/5*a^8*x^5+8/7*a^7*b*x^7+28/9*a^6*b^2*x^9+56/11*a^5*b^3*x^11+70/13*a^4*b^4*x^13+56/15*a^3*b^5*x^15+28/17*a^2*b^6*x^17+8/19*a*b^7*x^19+1/21*b^8*x^21","A"
112,1,91,90,0.002000," ","int(x^2*(b*x^2+a)^8,x)","\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,"1/3*a^8*x^3+8/5*a^7*b*x^5+4*a^6*b^2*x^7+56/9*a^5*b^3*x^9+70/11*a^4*b^4*x^11+56/13*a^3*b^5*x^13+28/15*a^2*b^6*x^15+8/17*a*b^7*x^17+1/19*b^8*x^19","A"
113,1,88,87,0.000000," ","int((b*x^2+a)^8,x)","\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,"a^8*x+8/3*a^7*b*x^3+28/5*a^6*b^2*x^5+8*a^5*b^3*x^7+70/9*a^4*b^4*x^9+56/11*a^3*b^5*x^11+28/13*a^2*b^6*x^13+8/15*a*b^7*x^15+1/17*b^8*x^17","A"
114,1,89,88,0.004000," ","int((b*x^2+a)^8/x^2,x)","\frac{b^{8} x^{15}}{15}+\frac{8 a \,b^{7} x^{13}}{13}+\frac{28 a^{2} b^{6} x^{11}}{11}+\frac{56 a^{3} b^{5} x^{9}}{9}+10 a^{4} b^{4} x^{7}+\frac{56 a^{5} b^{3} x^{5}}{5}+\frac{28 a^{6} b^{2} x^{3}}{3}+8 a^{7} b x -\frac{a^{8}}{x}"," ",0,"-a^8/x+8*a^7*b*x+28/3*a^6*b^2*x^3+56/5*a^5*b^3*x^5+10*a^4*b^4*x^7+56/9*a^3*b^5*x^9+28/11*a^2*b^6*x^11+8/13*a*b^7*x^13+1/15*b^8*x^15","A"
115,1,89,88,0.006000," ","int((b*x^2+a)^8/x^4,x)","\frac{b^{8} x^{13}}{13}+\frac{8 a \,b^{7} x^{11}}{11}+\frac{28 a^{2} b^{6} x^{9}}{9}+8 a^{3} b^{5} x^{7}+14 a^{4} b^{4} x^{5}+\frac{56 a^{5} b^{3} x^{3}}{3}+28 a^{6} b^{2} x -\frac{8 a^{7} b}{x}-\frac{a^{8}}{3 x^{3}}"," ",0,"-1/3*a^8/x^3-8*a^7*b/x+28*a^6*b^2*x+56/3*a^5*b^3*x^3+14*a^4*b^4*x^5+8*a^3*b^5*x^7+28/9*a^2*b^6*x^9+8/11*a*b^7*x^11+1/13*b^8*x^13","A"
116,1,89,88,0.006000," ","int((b*x^2+a)^8/x^6,x)","\frac{b^{8} x^{11}}{11}+\frac{8 a \,b^{7} x^{9}}{9}+4 a^{2} b^{6} x^{7}+\frac{56 a^{3} b^{5} x^{5}}{5}+\frac{70 a^{4} b^{4} x^{3}}{3}+56 a^{5} b^{3} x -\frac{28 a^{6} b^{2}}{x}-\frac{8 a^{7} b}{3 x^{3}}-\frac{a^{8}}{5 x^{5}}"," ",0,"-1/5*a^8/x^5-8/3*a^7*b/x^3-28*a^6*b^2/x+56*a^5*b^3*x+70/3*a^4*b^4*x^3+56/5*a^3*b^5*x^5+4*a^2*b^6*x^7+8/9*a*b^7*x^9+1/11*b^8*x^11","A"
117,1,89,88,0.005000," ","int((b*x^2+a)^8/x^8,x)","\frac{b^{8} x^{9}}{9}+\frac{8 a \,b^{7} x^{7}}{7}+\frac{28 a^{2} b^{6} x^{5}}{5}+\frac{56 a^{3} b^{5} x^{3}}{3}+70 a^{4} b^{4} x -\frac{56 a^{5} b^{3}}{x}-\frac{28 a^{6} b^{2}}{3 x^{3}}-\frac{8 a^{7} b}{5 x^{5}}-\frac{a^{8}}{7 x^{7}}"," ",0,"-1/7*a^8/x^7-8/5*a^7*b/x^5-28/3*a^6*b^2/x^3-56*a^5*b^3/x+70*a^4*b^4*x+56/3*a^3*b^5*x^3+28/5*a^2*b^6*x^5+8/7*a*b^7*x^7+1/9*b^8*x^9","A"
118,1,89,88,0.007000," ","int((b*x^2+a)^8/x^10,x)","\frac{b^{8} x^{7}}{7}+\frac{8 a \,b^{7} x^{5}}{5}+\frac{28 a^{2} b^{6} x^{3}}{3}+56 a^{3} b^{5} x -\frac{70 a^{4} b^{4}}{x}-\frac{56 a^{5} b^{3}}{3 x^{3}}-\frac{28 a^{6} b^{2}}{5 x^{5}}-\frac{8 a^{7} b}{7 x^{7}}-\frac{a^{8}}{9 x^{9}}"," ",0,"-1/9*a^8/x^9-8/7*a^7*b/x^7-28/5*a^6*b^2/x^5-56/3*a^5*b^3/x^3-70*a^4*b^4/x+56*a^3*b^5*x+28/3*a^2*b^6*x^3+8/5*a*b^7*x^5+1/7*b^8*x^7","A"
119,1,89,88,0.007000," ","int((b*x^2+a)^8/x^12,x)","\frac{b^{8} x^{5}}{5}+\frac{8 a \,b^{7} x^{3}}{3}+28 a^{2} b^{6} x -\frac{56 a^{3} b^{5}}{x}-\frac{70 a^{4} b^{4}}{3 x^{3}}-\frac{56 a^{5} b^{3}}{5 x^{5}}-\frac{4 a^{6} b^{2}}{x^{7}}-\frac{8 a^{7} b}{9 x^{9}}-\frac{a^{8}}{11 x^{11}}"," ",0,"-1/11*a^8/x^11-8/9*a^7*b/x^9-4*a^6*b^2/x^7-56/5*a^5*b^3/x^5-70/3*a^4*b^4/x^3-56*a^3*b^5/x+28*a^2*b^6*x+8/3*a*b^7*x^3+1/5*b^8*x^5","A"
120,1,89,88,0.007000," ","int((b*x^2+a)^8/x^14,x)","\frac{b^{8} x^{3}}{3}+8 a \,b^{7} x -\frac{28 a^{2} b^{6}}{x}-\frac{56 a^{3} b^{5}}{3 x^{3}}-\frac{14 a^{4} b^{4}}{x^{5}}-\frac{8 a^{5} b^{3}}{x^{7}}-\frac{28 a^{6} b^{2}}{9 x^{9}}-\frac{8 a^{7} b}{11 x^{11}}-\frac{a^{8}}{13 x^{13}}"," ",0,"-1/13*a^8/x^13-8/11*a^7*b/x^11-28/9*a^6*b^2/x^9-8*a^5*b^3/x^7-14*a^4*b^4/x^5-56/3*a^3*b^5/x^3-28*a^2*b^6/x+8*a*b^7*x+1/3*b^8*x^3","A"
121,1,88,87,0.008000," ","int((b*x^2+a)^8/x^16,x)","b^{8} x -\frac{8 a \,b^{7}}{x}-\frac{28 a^{2} b^{6}}{3 x^{3}}-\frac{56 a^{3} b^{5}}{5 x^{5}}-\frac{10 a^{4} b^{4}}{x^{7}}-\frac{56 a^{5} b^{3}}{9 x^{9}}-\frac{28 a^{6} b^{2}}{11 x^{11}}-\frac{8 a^{7} b}{13 x^{13}}-\frac{a^{8}}{15 x^{15}}"," ",0,"-1/15*a^8/x^15-8/13*a^7*b/x^13-28/11*a^6*b^2/x^11-56/9*a^5*b^3/x^9-10*a^4*b^4/x^7-56/5*a^3*b^5/x^5-28/3*a^2*b^6/x^3-8*a*b^7/x+b^8*x","A"
122,1,91,90,0.006000," ","int((b*x^2+a)^8/x^18,x)","-\frac{b^{8}}{x}-\frac{8 a \,b^{7}}{3 x^{3}}-\frac{28 a^{2} b^{6}}{5 x^{5}}-\frac{8 a^{3} b^{5}}{x^{7}}-\frac{70 a^{4} b^{4}}{9 x^{9}}-\frac{56 a^{5} b^{3}}{11 x^{11}}-\frac{28 a^{6} b^{2}}{13 x^{13}}-\frac{8 a^{7} b}{15 x^{15}}-\frac{a^{8}}{17 x^{17}}"," ",0,"-1/17*a^8/x^17-8/15*a^7*b/x^15-28/13*a^6*b^2/x^13-56/11*a^5*b^3/x^11-70/9*a^4*b^4/x^9-8*a^3*b^5/x^7-28/5*a^2*b^6/x^5-8/3*a*b^7/x^3-b^8/x","A"
123,1,91,90,0.006000," ","int((b*x^2+a)^8/x^20,x)","-\frac{b^{8}}{3 x^{3}}-\frac{8 a \,b^{7}}{5 x^{5}}-\frac{4 a^{2} b^{6}}{x^{7}}-\frac{56 a^{3} b^{5}}{9 x^{9}}-\frac{70 a^{4} b^{4}}{11 x^{11}}-\frac{56 a^{5} b^{3}}{13 x^{13}}-\frac{28 a^{6} b^{2}}{15 x^{15}}-\frac{8 a^{7} b}{17 x^{17}}-\frac{a^{8}}{19 x^{19}}"," ",0,"-1/19*a^8/x^19-8/17*a^7*b/x^17-28/15*a^6*b^2/x^15-56/13*a^5*b^3/x^13-70/11*a^4*b^4/x^11-56/9*a^3*b^5/x^9-4*a^2*b^6/x^7-8/5*a*b^7/x^5-1/3*b^8/x^3","A"
124,1,68,67,0.005000," ","int(x^11/(b*x^2+a),x)","\frac{x^{10}}{10 b}-\frac{a \,x^{8}}{8 b^{2}}+\frac{a^{2} x^{6}}{6 b^{3}}-\frac{a^{3} x^{4}}{4 b^{4}}+\frac{a^{4} x^{2}}{2 b^{5}}-\frac{a^{5} \ln \left(b \,x^{2}+a \right)}{2 b^{6}}"," ",0,"1/2*a^4*x^2/b^5-1/4*a^3*x^4/b^4+1/6*a^2*x^6/b^3-1/8*a*x^8/b^2+1/10*x^10/b-1/2*a^5*ln(b*x^2+a)/b^6","A"
125,1,71,65,0.005000," ","int(x^10/(b*x^2+a),x)","\frac{x^{9}}{9 b}-\frac{a \,x^{7}}{7 b^{2}}+\frac{a^{2} x^{5}}{5 b^{3}}-\frac{a^{3} x^{3}}{3 b^{4}}-\frac{a^{5} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{5}}+\frac{a^{4} x}{b^{5}}"," ",0,"1/9*x^9/b-1/7*a*x^7/b^2+1/5*a^2*x^5/b^3-1/3*a^3*x^3/b^4+a^4*x/b^5-a^5/b^5/(a*b)^(1/2)*arctan(x*b/(a*b)^(1/2))","A"
126,1,57,56,0.005000," ","int(x^9/(b*x^2+a),x)","\frac{x^{8}}{8 b}-\frac{a \,x^{6}}{6 b^{2}}+\frac{a^{2} x^{4}}{4 b^{3}}-\frac{a^{3} x^{2}}{2 b^{4}}+\frac{a^{4} \ln \left(b \,x^{2}+a \right)}{2 b^{5}}"," ",0,"-1/2*a^3*x^2/b^4+1/4*a^2*x^4/b^3-1/6*a*x^6/b^2+1/8*x^8/b+1/2*a^4*ln(b*x^2+a)/b^5","A"
127,1,60,54,0.004000," ","int(x^8/(b*x^2+a),x)","\frac{x^{7}}{7 b}-\frac{a \,x^{5}}{5 b^{2}}+\frac{a^{2} x^{3}}{3 b^{3}}+\frac{a^{4} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{4}}-\frac{a^{3} x}{b^{4}}"," ",0,"1/7*x^7/b-1/5*a*x^5/b^2+1/3*a^2*x^3/b^3-a^3*x/b^4+a^4/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
128,1,46,45,0.003000," ","int(x^7/(b*x^2+a),x)","\frac{x^{6}}{6 b}-\frac{a \,x^{4}}{4 b^{2}}+\frac{a^{2} x^{2}}{2 b^{3}}-\frac{a^{3} \ln \left(b \,x^{2}+a \right)}{2 b^{4}}"," ",0,"1/2*a^2*x^2/b^3-1/4*a*x^4/b^2+1/6*x^6/b-1/2*a^3*ln(b*x^2+a)/b^4","A"
129,1,49,43,0.003000," ","int(x^6/(b*x^2+a),x)","\frac{x^{5}}{5 b}-\frac{a \,x^{3}}{3 b^{2}}-\frac{a^{3} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}+\frac{a^{2} x}{b^{3}}"," ",0,"1/5*x^5/b-1/3*a*x^3/b^2+a^2*x/b^3-a^3/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
130,1,35,34,0.002000," ","int(x^5/(b*x^2+a),x)","\frac{x^{4}}{4 b}-\frac{a \,x^{2}}{2 b^{2}}+\frac{a^{2} \ln \left(b \,x^{2}+a \right)}{2 b^{3}}"," ",0,"-1/2*a*x^2/b^2+1/4*x^4/b+1/2*a^2*ln(b*x^2+a)/b^3","A"
131,1,38,32,0.004000," ","int(x^4/(b*x^2+a),x)","\frac{x^{3}}{3 b}+\frac{a^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}-\frac{a x}{b^{2}}"," ",0,"1/3*x^3/b-a*x/b^2+a^2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
132,1,24,23,0.003000," ","int(x^3/(b*x^2+a),x)","\frac{x^{2}}{2 b}-\frac{a \ln \left(b \,x^{2}+a \right)}{2 b^{2}}"," ",0,"1/2*x^2/b-1/2*a*ln(b*x^2+a)/b^2","A"
133,1,27,23,0.002000," ","int(x^2/(b*x^2+a),x)","-\frac{a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}+\frac{x}{b}"," ",0,"1/b*x-a/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
134,1,14,13,0.001000," ","int(x/(b*x^2+a),x)","\frac{\ln \left(b \,x^{2}+a \right)}{2 b}"," ",0,"1/2*ln(b*x^2+a)/b","A"
135,1,16,16,0.003000," ","int(1/(b*x^2+a),x)","\frac{\arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"1/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
136,1,21,20,0.005000," ","int(1/x/(b*x^2+a),x)","\frac{\ln \left(x \right)}{a}-\frac{\ln \left(b \,x^{2}+a \right)}{2 a}"," ",0,"ln(x)/a-1/2*ln(b*x^2+a)/a","A"
137,1,30,26,0.006000," ","int(1/x^2/(b*x^2+a),x)","-\frac{b \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}-\frac{1}{a x}"," ",0,"-1/a/x-1/a*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
138,1,32,31,0.006000," ","int(1/x^3/(b*x^2+a),x)","-\frac{b \ln \left(x \right)}{a^{2}}+\frac{b \ln \left(b \,x^{2}+a \right)}{2 a^{2}}-\frac{1}{2 a \,x^{2}}"," ",0,"-1/2/a/x^2-b*ln(x)/a^2+1/2*b*ln(b*x^2+a)/a^2","A"
139,1,39,33,0.007000," ","int(1/x^4/(b*x^2+a),x)","\frac{b^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}+\frac{b}{a^{2} x}-\frac{1}{3 a \,x^{3}}"," ",0,"-1/3/a/x^3+b/a^2/x+b^2/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
140,1,44,43,0.007000," ","int(1/x^5/(b*x^2+a),x)","\frac{b^{2} \ln \left(x \right)}{a^{3}}-\frac{b^{2} \ln \left(b \,x^{2}+a \right)}{2 a^{3}}+\frac{b}{2 a^{2} x^{2}}-\frac{1}{4 a \,x^{4}}"," ",0,"-1/4/a/x^4+1/2*b/a^2/x^2+b^2*ln(x)/a^3-1/2*b^2*ln(b*x^2+a)/a^3","A"
141,1,52,46,0.008000," ","int(1/x^6/(b*x^2+a),x)","-\frac{b^{3} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}-\frac{b^{2}}{a^{3} x}+\frac{b}{3 a^{2} x^{3}}-\frac{1}{5 a \,x^{5}}"," ",0,"-1/5/a/x^5-b^2/a^3/x+1/3*b/a^2/x^3-b^3/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
142,1,56,55,0.008000," ","int(1/x^7/(b*x^2+a),x)","-\frac{b^{3} \ln \left(x \right)}{a^{4}}+\frac{b^{3} \ln \left(b \,x^{2}+a \right)}{2 a^{4}}-\frac{b^{2}}{2 a^{3} x^{2}}+\frac{b}{4 a^{2} x^{4}}-\frac{1}{6 a \,x^{6}}"," ",0,"-1/6/a/x^6+1/4*b/a^2/x^4-1/2*b^2/a^3/x^2-b^3*ln(x)/a^4+1/2*b^3*ln(b*x^2+a)/a^4","A"
143,1,61,55,0.007000," ","int(1/x^8/(b*x^2+a),x)","\frac{b^{4} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{4}}+\frac{b^{3}}{a^{4} x}-\frac{b^{2}}{3 a^{3} x^{3}}+\frac{b}{5 a^{2} x^{5}}-\frac{1}{7 a \,x^{7}}"," ",0,"-1/7/a/x^7-1/3*b^2/a^3/x^3+1/5*b/a^2/x^5+b^3/a^4/x+b^4/a^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
144,1,66,65,0.007000," ","int(1/x^9/(b*x^2+a),x)","\frac{b^{4} \ln \left(x \right)}{a^{5}}-\frac{b^{4} \ln \left(b \,x^{2}+a \right)}{2 a^{5}}+\frac{b^{3}}{2 a^{4} x^{2}}-\frac{b^{2}}{4 a^{3} x^{4}}+\frac{b}{6 a^{2} x^{6}}-\frac{1}{8 a \,x^{8}}"," ",0,"-1/8/a/x^8+1/6*b/a^2/x^6-1/4*b^2/a^3/x^4+1/2*b^3/a^4/x^2+b^4*ln(x)/a^5-1/2*b^4*ln(b*x^2+a)/a^5","A"
145,1,85,84,0.011000," ","int(x^13/(b*x^2+a)^2,x)","\frac{x^{10}}{10 b^{2}}-\frac{a \,x^{8}}{4 b^{3}}+\frac{a^{2} x^{6}}{2 b^{4}}-\frac{a^{3} x^{4}}{b^{5}}+\frac{5 a^{4} x^{2}}{2 b^{6}}-\frac{a^{6}}{2 \left(b \,x^{2}+a \right) b^{7}}-\frac{3 a^{5} \ln \left(b \,x^{2}+a \right)}{b^{7}}"," ",0,"5/2*a^4*x^2/b^6-a^3*x^4/b^5+1/2*a^2*x^6/b^4-1/4*a*x^8/b^3+1/10*x^10/b^2-1/2*a^6/b^7/(b*x^2+a)-3*a^5*ln(b*x^2+a)/b^7","A"
146,1,90,83,0.008000," ","int(x^12/(b*x^2+a)^2,x)","\frac{x^{9}}{9 b^{2}}-\frac{2 a \,x^{7}}{7 b^{3}}+\frac{3 a^{2} x^{5}}{5 b^{4}}-\frac{4 a^{3} x^{3}}{3 b^{5}}+\frac{a^{5} x}{2 \left(b \,x^{2}+a \right) b^{6}}-\frac{11 a^{5} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{6}}+\frac{5 a^{4} x}{b^{6}}"," ",0,"1/9*x^9/b^2-2/7*a*x^7/b^3+3/5*a^2*x^5/b^4-4/3*a^3*x^3/b^5+5*a^4*x/b^6+1/2/b^6*a^5*x/(b*x^2+a)-11/2/b^6*a^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
147,1,74,73,0.010000," ","int(x^11/(b*x^2+a)^2,x)","\frac{x^{8}}{8 b^{2}}-\frac{a \,x^{6}}{3 b^{3}}+\frac{3 a^{2} x^{4}}{4 b^{4}}-\frac{2 a^{3} x^{2}}{b^{5}}+\frac{a^{5}}{2 \left(b \,x^{2}+a \right) b^{6}}+\frac{5 a^{4} \ln \left(b \,x^{2}+a \right)}{2 b^{6}}"," ",0,"-2*a^3*x^2/b^5+3/4*a^2*x^4/b^4-1/3*a*x^6/b^3+1/8*x^8/b^2+1/2*a^5/b^6/(b*x^2+a)+5/2*a^4*ln(b*x^2+a)/b^6","A"
148,1,78,72,0.010000," ","int(x^10/(b*x^2+a)^2,x)","\frac{x^{7}}{7 b^{2}}-\frac{2 a \,x^{5}}{5 b^{3}}+\frac{a^{2} x^{3}}{b^{4}}-\frac{a^{4} x}{2 \left(b \,x^{2}+a \right) b^{5}}+\frac{9 a^{4} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{5}}-\frac{4 a^{3} x}{b^{5}}"," ",0,"1/7*x^7/b^2-2/5*a*x^5/b^3+a^2*x^3/b^4-4*a^3*x/b^5-1/2/b^5*a^4*x/(b*x^2+a)+9/2/b^5*a^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
149,1,63,62,0.011000," ","int(x^9/(b*x^2+a)^2,x)","\frac{x^{6}}{6 b^{2}}-\frac{a \,x^{4}}{2 b^{3}}+\frac{3 a^{2} x^{2}}{2 b^{4}}-\frac{a^{4}}{2 \left(b \,x^{2}+a \right) b^{5}}-\frac{2 a^{3} \ln \left(b \,x^{2}+a \right)}{b^{5}}"," ",0,"3/2*a^2*x^2/b^4-1/2*a*x^4/b^3+1/6*x^6/b^2-1/2*a^4/b^5/(b*x^2+a)-2*a^3*ln(b*x^2+a)/b^5","A"
150,1,68,61,0.009000," ","int(x^8/(b*x^2+a)^2,x)","\frac{x^{5}}{5 b^{2}}-\frac{2 a \,x^{3}}{3 b^{3}}+\frac{a^{3} x}{2 \left(b \,x^{2}+a \right) b^{4}}-\frac{7 a^{3} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{4}}+\frac{3 a^{2} x}{b^{4}}"," ",0,"1/5*x^5/b^2-2/3*a*x^3/b^3+3*a^2*x/b^4+1/2/b^4*a^3*x/(b*x^2+a)-7/2/b^4*a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
151,1,52,51,0.010000," ","int(x^7/(b*x^2+a)^2,x)","\frac{x^{4}}{4 b^{2}}-\frac{a \,x^{2}}{b^{3}}+\frac{a^{3}}{2 \left(b \,x^{2}+a \right) b^{4}}+\frac{3 a^{2} \ln \left(b \,x^{2}+a \right)}{2 b^{4}}"," ",0,"-a*x^2/b^3+1/4*x^4/b^2+1/2*a^3/b^4/(b*x^2+a)+3/2*a^2*ln(b*x^2+a)/b^4","A"
152,1,57,50,0.009000," ","int(x^6/(b*x^2+a)^2,x)","\frac{x^{3}}{3 b^{2}}-\frac{a^{2} x}{2 \left(b \,x^{2}+a \right) b^{3}}+\frac{5 a^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{3}}-\frac{2 a x}{b^{3}}"," ",0,"1/3*x^3/b^2-2*a*x/b^3-1/2/b^3*a^2*x/(b*x^2+a)+5/2/b^3*a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
153,1,41,40,0.010000," ","int(x^5/(b*x^2+a)^2,x)","\frac{x^{2}}{2 b^{2}}-\frac{a^{2}}{2 \left(b \,x^{2}+a \right) b^{3}}-\frac{a \ln \left(b \,x^{2}+a \right)}{b^{3}}"," ",0,"1/2*x^2/b^2-1/2*a^2/b^3/(b*x^2+a)-a*ln(b*x^2+a)/b^3","A"
154,1,43,41,0.010000," ","int(x^4/(b*x^2+a)^2,x)","\frac{a x}{2 \left(b \,x^{2}+a \right) b^{2}}-\frac{3 a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{2}}+\frac{x}{b^{2}}"," ",0,"x/b^2+1/2/b^2*a*x/(b*x^2+a)-3/2/b^2*a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
155,1,30,29,0.009000," ","int(x^3/(b*x^2+a)^2,x)","\frac{a}{2 \left(b \,x^{2}+a \right) b^{2}}+\frac{\ln \left(b \,x^{2}+a \right)}{2 b^{2}}"," ",0,"1/2*a/b^2/(b*x^2+a)+1/2*ln(b*x^2+a)/b^2","A"
156,1,36,33,0.007000," ","int(x^2/(b*x^2+a)^2,x)","-\frac{x}{2 \left(b \,x^{2}+a \right) b}+\frac{\arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b}"," ",0,"-1/2*x/b/(b*x^2+a)+1/2/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
157,1,15,14,0.000000," ","int(x/(b*x^2+a)^2,x)","-\frac{1}{2 \left(b \,x^{2}+a \right) b}"," ",0,"-1/2/b/(b*x^2+a)","A"
158,1,36,33,0.005000," ","int(1/(b*x^2+a)^2,x)","\frac{x}{2 \left(b \,x^{2}+a \right) a}+\frac{\arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a}"," ",0,"1/2*x/a/(b*x^2+a)+1/2/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
159,1,35,34,0.010000," ","int(1/x/(b*x^2+a)^2,x)","\frac{1}{2 \left(b \,x^{2}+a \right) a}+\frac{\ln \left(x \right)}{a^{2}}-\frac{\ln \left(b \,x^{2}+a \right)}{2 a^{2}}"," ",0,"1/2/a/(b*x^2+a)+ln(x)/a^2-1/2*ln(b*x^2+a)/a^2","A"
160,1,46,43,0.010000," ","int(1/x^2/(b*x^2+a)^2,x)","-\frac{b x}{2 \left(b \,x^{2}+a \right) a^{2}}-\frac{3 b \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{2}}-\frac{1}{a^{2} x}"," ",0,"-1/a^2/x-1/2/a^2*b*x/(b*x^2+a)-3/2/a^2*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
161,1,46,45,0.011000," ","int(1/x^3/(b*x^2+a)^2,x)","-\frac{b}{2 \left(b \,x^{2}+a \right) a^{2}}-\frac{2 b \ln \left(x \right)}{a^{3}}+\frac{b \ln \left(b \,x^{2}+a \right)}{a^{3}}-\frac{1}{2 a^{2} x^{2}}"," ",0,"-1/2/a^2/x^2-1/2*b/a^2/(b*x^2+a)-2*b*ln(x)/a^3+b*ln(b*x^2+a)/a^3","A"
162,1,59,52,0.011000," ","int(1/x^4/(b*x^2+a)^2,x)","\frac{b^{2} x}{2 \left(b \,x^{2}+a \right) a^{3}}+\frac{5 b^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{3}}+\frac{2 b}{a^{3} x}-\frac{1}{3 a^{2} x^{3}}"," ",0,"-1/3/a^2/x^3+2*b/a^3/x+1/2*b^2/a^3*x/(b*x^2+a)+5/2*b^2/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
163,1,61,60,0.014000," ","int(1/x^5/(b*x^2+a)^2,x)","\frac{b^{2}}{2 \left(b \,x^{2}+a \right) a^{3}}+\frac{3 b^{2} \ln \left(x \right)}{a^{4}}-\frac{3 b^{2} \ln \left(b \,x^{2}+a \right)}{2 a^{4}}+\frac{b}{a^{3} x^{2}}-\frac{1}{4 a^{2} x^{4}}"," ",0,"-1/4/a^2/x^4+b/a^3/x^2+1/2*b^2/a^3/(b*x^2+a)+3*b^2*ln(x)/a^4-3/2*b^2*ln(b*x^2+a)/a^4","A"
164,1,70,63,0.012000," ","int(1/x^6/(b*x^2+a)^2,x)","-\frac{b^{3} x}{2 \left(b \,x^{2}+a \right) a^{4}}-\frac{7 b^{3} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{4}}-\frac{3 b^{2}}{a^{4} x}+\frac{2 b}{3 a^{3} x^{3}}-\frac{1}{5 a^{2} x^{5}}"," ",0,"-1/5/a^2/x^5-3*b^2/a^4/x+2/3*b/a^3/x^3-1/2*b^3/a^4*x/(b*x^2+a)-7/2*b^3/a^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
165,1,73,72,0.014000," ","int(1/x^7/(b*x^2+a)^2,x)","-\frac{b^{3}}{2 \left(b \,x^{2}+a \right) a^{4}}-\frac{4 b^{3} \ln \left(x \right)}{a^{5}}+\frac{2 b^{3} \ln \left(b \,x^{2}+a \right)}{a^{5}}-\frac{3 b^{2}}{2 a^{4} x^{2}}+\frac{b}{2 a^{3} x^{4}}-\frac{1}{6 a^{2} x^{6}}"," ",0,"-1/6/a^2/x^6+1/2*b/a^3/x^4-3/2*b^2/a^4/x^2-1/2*b^3/a^4/(b*x^2+a)-4*b^3*ln(x)/a^5+2*b^3*ln(b*x^2+a)/a^5","A"
166,1,81,74,0.014000," ","int(1/x^8/(b*x^2+a)^2,x)","\frac{b^{4} x}{2 \left(b \,x^{2}+a \right) a^{5}}+\frac{9 b^{4} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{5}}+\frac{4 b^{3}}{a^{5} x}-\frac{b^{2}}{a^{4} x^{3}}+\frac{2 b}{5 a^{3} x^{5}}-\frac{1}{7 a^{2} x^{7}}"," ",0,"-1/7/a^2/x^7+4*b^3/a^5/x-b^2/a^4/x^3+2/5*b/a^3/x^5+1/2*b^4/a^5*x/(b*x^2+a)+9/2*b^4/a^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
167,1,84,83,0.013000," ","int(1/x^9/(b*x^2+a)^2,x)","\frac{b^{4}}{2 \left(b \,x^{2}+a \right) a^{5}}+\frac{5 b^{4} \ln \left(x \right)}{a^{6}}-\frac{5 b^{4} \ln \left(b \,x^{2}+a \right)}{2 a^{6}}+\frac{2 b^{3}}{a^{5} x^{2}}-\frac{3 b^{2}}{4 a^{4} x^{4}}+\frac{b}{3 a^{3} x^{6}}-\frac{1}{8 a^{2} x^{8}}"," ",0,"-1/8/a^2/x^8+1/3*b/a^3/x^6-3/4*b^2/a^4/x^4+2*b^3/a^5/x^2+1/2*b^4/a^5/(b*x^2+a)+5*b^4*ln(x)/a^6-5/2*b^4*ln(b*x^2+a)/a^6","A"
168,1,101,100,0.011000," ","int(x^15/(b*x^2+a)^3,x)","\frac{x^{10}}{10 b^{3}}-\frac{3 a \,x^{8}}{8 b^{4}}+\frac{a^{2} x^{6}}{b^{5}}-\frac{5 a^{3} x^{4}}{2 b^{6}}+\frac{a^{7}}{4 \left(b \,x^{2}+a \right)^{2} b^{8}}+\frac{15 a^{4} x^{2}}{2 b^{7}}-\frac{7 a^{6}}{2 \left(b \,x^{2}+a \right) b^{8}}-\frac{21 a^{5} \ln \left(b \,x^{2}+a \right)}{2 b^{8}}"," ",0,"15/2*a^4*x^2/b^7-5/2*a^3*x^4/b^6+a^2*x^6/b^5-3/8*a*x^8/b^4+1/10*x^10/b^3+1/4*a^7/b^8/(b*x^2+a)^2-7/2*a^6/b^8/(b*x^2+a)-21/2*a^5*ln(b*x^2+a)/b^8","A"
169,1,91,90,0.012000," ","int(x^13/(b*x^2+a)^3,x)","\frac{x^{8}}{8 b^{3}}-\frac{a \,x^{6}}{2 b^{4}}+\frac{3 a^{2} x^{4}}{2 b^{5}}-\frac{a^{6}}{4 \left(b \,x^{2}+a \right)^{2} b^{7}}-\frac{5 a^{3} x^{2}}{b^{6}}+\frac{3 a^{5}}{\left(b \,x^{2}+a \right) b^{7}}+\frac{15 a^{4} \ln \left(b \,x^{2}+a \right)}{2 b^{7}}"," ",0,"-5*a^3*x^2/b^6+3/2*a^2*x^4/b^5-1/2*a*x^6/b^4+1/8*x^8/b^3-1/4*a^6/b^7/(b*x^2+a)^2+3*a^5/b^7/(b*x^2+a)+15/2*a^4*ln(b*x^2+a)/b^7","A"
170,1,80,79,0.010000," ","int(x^11/(b*x^2+a)^3,x)","\frac{x^{6}}{6 b^{3}}-\frac{3 a \,x^{4}}{4 b^{4}}+\frac{a^{5}}{4 \left(b \,x^{2}+a \right)^{2} b^{6}}+\frac{3 a^{2} x^{2}}{b^{5}}-\frac{5 a^{4}}{2 \left(b \,x^{2}+a \right) b^{6}}-\frac{5 a^{3} \ln \left(b \,x^{2}+a \right)}{b^{6}}"," ",0,"3*a^2*x^2/b^5-3/4*a*x^4/b^4+1/6*x^6/b^3+1/4*a^5/b^6/(b*x^2+a)^2-5/2*a^4/b^6/(b*x^2+a)-5*a^3*ln(b*x^2+a)/b^6","A"
171,1,69,68,0.011000," ","int(x^9/(b*x^2+a)^3,x)","\frac{x^{4}}{4 b^{3}}-\frac{a^{4}}{4 \left(b \,x^{2}+a \right)^{2} b^{5}}-\frac{3 a \,x^{2}}{2 b^{4}}+\frac{2 a^{3}}{\left(b \,x^{2}+a \right) b^{5}}+\frac{3 a^{2} \ln \left(b \,x^{2}+a \right)}{b^{5}}"," ",0,"-3/2*a*x^2/b^4+1/4*x^4/b^3-1/4*a^4/b^5/(b*x^2+a)^2+2*a^3/b^5/(b*x^2+a)+3*a^2*ln(b*x^2+a)/b^5","A"
172,1,58,57,0.010000," ","int(x^7/(b*x^2+a)^3,x)","\frac{a^{3}}{4 \left(b \,x^{2}+a \right)^{2} b^{4}}+\frac{x^{2}}{2 b^{3}}-\frac{3 a^{2}}{2 \left(b \,x^{2}+a \right) b^{4}}-\frac{3 a \ln \left(b \,x^{2}+a \right)}{2 b^{4}}"," ",0,"1/2*x^2/b^3+1/4*a^3/b^4/(b*x^2+a)^2-3/2*a^2/b^4/(b*x^2+a)-3/2*a*ln(b*x^2+a)/b^4","A"
173,1,46,45,0.008000," ","int(x^5/(b*x^2+a)^3,x)","-\frac{a^{2}}{4 \left(b \,x^{2}+a \right)^{2} b^{3}}+\frac{a}{\left(b \,x^{2}+a \right) b^{3}}+\frac{\ln \left(b \,x^{2}+a \right)}{2 b^{3}}"," ",0,"-1/4*a^2/b^3/(b*x^2+a)^2+a/b^3/(b*x^2+a)+1/2*ln(b*x^2+a)/b^3","A"
174,1,31,17,0.007000," ","int(x^3/(b*x^2+a)^3,x)","\frac{a}{4 \left(b \,x^{2}+a \right)^{2} b^{2}}-\frac{1}{2 \left(b \,x^{2}+a \right) b^{2}}"," ",0,"-1/2/b^2/(b*x^2+a)+1/4*a/b^2/(b*x^2+a)^2","A"
175,1,15,14,0.002000," ","int(x/(b*x^2+a)^3,x)","-\frac{1}{4 \left(b \,x^{2}+a \right)^{2} b}"," ",0,"-1/4/b/(b*x^2+a)^2","A"
176,1,49,48,0.012000," ","int(1/x/(b*x^2+a)^3,x)","\frac{1}{4 \left(b \,x^{2}+a \right)^{2} a}+\frac{1}{2 \left(b \,x^{2}+a \right) a^{2}}+\frac{\ln \left(x \right)}{a^{3}}-\frac{\ln \left(b \,x^{2}+a \right)}{2 a^{3}}"," ",0,"1/4/a/(b*x^2+a)^2+1/2/a^2/(b*x^2+a)+ln(x)/a^3-1/2*ln(b*x^2+a)/a^3","A"
177,1,62,61,0.013000," ","int(1/x^3/(b*x^2+a)^3,x)","-\frac{b}{4 \left(b \,x^{2}+a \right)^{2} a^{2}}-\frac{b}{\left(b \,x^{2}+a \right) a^{3}}-\frac{3 b \ln \left(x \right)}{a^{4}}+\frac{3 b \ln \left(b \,x^{2}+a \right)}{2 a^{4}}-\frac{1}{2 a^{3} x^{2}}"," ",0,"-1/2/a^3/x^2-1/4*b/a^2/(b*x^2+a)^2-b/a^3/(b*x^2+a)-3*b*ln(x)/a^4+3/2*b*ln(b*x^2+a)/a^4","A"
178,1,79,78,0.015000," ","int(1/x^5/(b*x^2+a)^3,x)","\frac{b^{2}}{4 \left(b \,x^{2}+a \right)^{2} a^{3}}+\frac{3 b^{2}}{2 \left(b \,x^{2}+a \right) a^{4}}+\frac{6 b^{2} \ln \left(x \right)}{a^{5}}-\frac{3 b^{2} \ln \left(b \,x^{2}+a \right)}{a^{5}}+\frac{3 b}{2 a^{4} x^{2}}-\frac{1}{4 a^{3} x^{4}}"," ",0,"-1/4/a^3/x^4+3/2*b/a^4/x^2+1/4*b^2/a^3/(b*x^2+a)^2+3/2*b^2/a^4/(b*x^2+a)+6*b^2*ln(x)/a^5-3*b^2*ln(b*x^2+a)/a^5","A"
179,1,90,89,0.013000," ","int(1/x^7/(b*x^2+a)^3,x)","-\frac{b^{3}}{4 \left(b \,x^{2}+a \right)^{2} a^{4}}-\frac{2 b^{3}}{\left(b \,x^{2}+a \right) a^{5}}-\frac{10 b^{3} \ln \left(x \right)}{a^{6}}+\frac{5 b^{3} \ln \left(b \,x^{2}+a \right)}{a^{6}}-\frac{3 b^{2}}{a^{5} x^{2}}+\frac{3 b}{4 a^{4} x^{4}}-\frac{1}{6 a^{3} x^{6}}"," ",0,"-1/6/a^3/x^6+3/4*b/a^4/x^4-3*b^2/a^5/x^2-1/4*b^3/a^4/(b*x^2+a)^2-2*b^3/a^5/(b*x^2+a)-10*b^3*ln(x)/a^6+5*b^3*ln(b*x^2+a)/a^6","A"
180,1,101,100,0.014000," ","int(1/x^9/(b*x^2+a)^3,x)","\frac{b^{4}}{4 \left(b \,x^{2}+a \right)^{2} a^{5}}+\frac{5 b^{4}}{2 \left(b \,x^{2}+a \right) a^{6}}+\frac{15 b^{4} \ln \left(x \right)}{a^{7}}-\frac{15 b^{4} \ln \left(b \,x^{2}+a \right)}{2 a^{7}}+\frac{5 b^{3}}{a^{6} x^{2}}-\frac{3 b^{2}}{2 a^{5} x^{4}}+\frac{b}{2 a^{4} x^{6}}-\frac{1}{8 a^{3} x^{8}}"," ",0,"-1/8/a^3/x^8+1/2*b/a^4/x^6-3/2*b^2/a^5/x^4+5*b^3/a^6/x^2+1/4*b^4/a^5/(b*x^2+a)^2+5/2*b^4/a^6/(b*x^2+a)+15*b^4*ln(x)/a^7-15/2*b^4*ln(b*x^2+a)/a^7","A"
181,1,99,89,0.010000," ","int(x^12/(b*x^2+a)^3,x)","\frac{x^{7}}{7 b^{3}}-\frac{21 a^{4} x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{5}}-\frac{3 a \,x^{5}}{5 b^{4}}-\frac{19 a^{5} x}{8 \left(b \,x^{2}+a \right)^{2} b^{6}}+\frac{2 a^{2} x^{3}}{b^{5}}+\frac{99 a^{4} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{6}}-\frac{10 a^{3} x}{b^{6}}"," ",0,"1/7*x^7/b^3-3/5*a*x^5/b^4+2*a^2*x^3/b^5-10*a^3*x/b^6-21/8/b^5*a^4/(b*x^2+a)^2*x^3-19/8/b^6*a^5/(b*x^2+a)^2*x+99/8/b^6*a^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
182,1,88,78,0.010000," ","int(x^10/(b*x^2+a)^3,x)","\frac{17 a^{3} x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{4}}+\frac{x^{5}}{5 b^{3}}+\frac{15 a^{4} x}{8 \left(b \,x^{2}+a \right)^{2} b^{5}}-\frac{a \,x^{3}}{b^{4}}-\frac{63 a^{3} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{5}}+\frac{6 a^{2} x}{b^{5}}"," ",0,"1/5*x^5/b^3-a*x^3/b^4+6*a^2*x/b^5+17/8/b^4*a^3/(b*x^2+a)^2*x^3+15/8/b^5*a^4/(b*x^2+a)^2*x-63/8/b^5*a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
183,1,77,67,0.011000," ","int(x^8/(b*x^2+a)^3,x)","-\frac{13 a^{2} x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{3}}-\frac{11 a^{3} x}{8 \left(b \,x^{2}+a \right)^{2} b^{4}}+\frac{x^{3}}{3 b^{3}}+\frac{35 a^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{4}}-\frac{3 a x}{b^{4}}"," ",0,"1/3*x^3/b^3-3*a*x/b^4-13/8/b^3*a^2/(b*x^2+a)^2*x^3-11/8/b^4*a^3/(b*x^2+a)^2*x+35/8/b^4*a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
184,1,63,58,0.010000," ","int(x^6/(b*x^2+a)^3,x)","\frac{9 a \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{2}}+\frac{7 a^{2} x}{8 \left(b \,x^{2}+a \right)^{2} b^{3}}-\frac{15 a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{3}}+\frac{x}{b^{3}}"," ",0,"x/b^3+9/8/b^2*a/(b*x^2+a)^2*x^3+7/8/b^3*a^2/(b*x^2+a)^2*x-15/8/b^3*a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
185,1,47,50,0.008000," ","int(x^4/(b*x^2+a)^3,x)","\frac{3 \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{2}}+\frac{-\frac{5 x^{3}}{8 b}-\frac{3 a x}{8 b^{2}}}{\left(b \,x^{2}+a \right)^{2}}"," ",0,"(-5/8/b*x^3-3/8*a/b^2*x)/(b*x^2+a)^2+3/8/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
186,1,49,51,0.008000," ","int(x^2/(b*x^2+a)^3,x)","\frac{\arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a b}+\frac{\frac{x^{3}}{8 a}-\frac{x}{8 b}}{\left(b \,x^{2}+a \right)^{2}}"," ",0,"(1/8/a*x^3-1/8/b*x)/(b*x^2+a)^2+1/8/b/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
187,1,51,48,0.005000," ","int(1/(b*x^2+a)^3,x)","\frac{x}{4 \left(b \,x^{2}+a \right)^{2} a}+\frac{3 x}{8 \left(b \,x^{2}+a \right) a^{2}}+\frac{3 \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{2}}"," ",0,"1/4*x/a/(b*x^2+a)^2+3/8*x/a^2/(b*x^2+a)+3/8/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
188,1,66,60,0.012000," ","int(1/x^2/(b*x^2+a)^3,x)","-\frac{7 b^{2} x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{3}}-\frac{9 b x}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}-\frac{15 b \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{3}}-\frac{1}{a^{3} x}"," ",0,"-1/a^3/x-7/8/a^3*b^2/(b*x^2+a)^2*x^3-9/8/a^2*b/(b*x^2+a)^2*x-15/8/a^3*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
189,1,79,69,0.015000," ","int(1/x^4/(b*x^2+a)^3,x)","\frac{11 b^{3} x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{4}}+\frac{13 b^{2} x}{8 \left(b \,x^{2}+a \right)^{2} a^{3}}+\frac{35 b^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{4}}+\frac{3 b}{a^{4} x}-\frac{1}{3 a^{3} x^{3}}"," ",0,"-1/3/a^3/x^3+3*b/a^4/x+11/8/a^4*b^3/(b*x^2+a)^2*x^3+13/8/a^3*b^2/(b*x^2+a)^2*x+35/8/a^4*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
190,1,89,80,0.014000," ","int(1/x^6/(b*x^2+a)^3,x)","-\frac{15 b^{4} x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{5}}-\frac{17 b^{3} x}{8 \left(b \,x^{2}+a \right)^{2} a^{4}}-\frac{63 b^{3} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{5}}-\frac{6 b^{2}}{a^{5} x}+\frac{b}{a^{4} x^{3}}-\frac{1}{5 a^{3} x^{5}}"," ",0,"-1/5/a^3/x^5-6*b^2/a^5/x+b/a^4/x^3-15/8/a^5*b^4/(b*x^2+a)^2*x^3-17/8/a^4*b^3/(b*x^2+a)^2*x-63/8/a^5*b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
191,1,101,91,0.014000," ","int(1/x^8/(b*x^2+a)^3,x)","\frac{19 b^{5} x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{6}}+\frac{21 b^{4} x}{8 \left(b \,x^{2}+a \right)^{2} a^{5}}+\frac{99 b^{4} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{6}}+\frac{10 b^{3}}{a^{6} x}-\frac{2 b^{2}}{a^{5} x^{3}}+\frac{3 b}{5 a^{4} x^{5}}-\frac{1}{7 a^{3} x^{7}}"," ",0,"-1/7/a^3/x^7+10*b^3/a^6/x-2*b^2/a^5/x^3+3/5*b/a^4/x^5+19/8/a^6*b^5/(b*x^2+a)^2*x^3+21/8/a^5*b^4/(b*x^2+a)^2*x+99/8/a^6*b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
192,1,199,198,0.018000," ","int(x^25/(b*x^2+a)^10,x)","-\frac{a^{12}}{18 \left(b \,x^{2}+a \right)^{9} b^{13}}+\frac{3 a^{11}}{4 \left(b \,x^{2}+a \right)^{8} b^{13}}-\frac{33 a^{10}}{7 \left(b \,x^{2}+a \right)^{7} b^{13}}+\frac{55 a^{9}}{3 \left(b \,x^{2}+a \right)^{6} b^{13}}+\frac{x^{6}}{6 b^{10}}-\frac{99 a^{8}}{2 \left(b \,x^{2}+a \right)^{5} b^{13}}+\frac{99 a^{7}}{\left(b \,x^{2}+a \right)^{4} b^{13}}-\frac{5 a \,x^{4}}{2 b^{11}}-\frac{154 a^{6}}{\left(b \,x^{2}+a \right)^{3} b^{13}}+\frac{198 a^{5}}{\left(b \,x^{2}+a \right)^{2} b^{13}}+\frac{55 a^{2} x^{2}}{2 b^{12}}-\frac{495 a^{4}}{2 \left(b \,x^{2}+a \right) b^{13}}-\frac{110 a^{3} \ln \left(b \,x^{2}+a \right)}{b^{13}}"," ",0,"55/2*a^2*x^2/b^12-5/2*a*x^4/b^11+1/6*x^6/b^10-1/18*a^12/b^13/(b*x^2+a)^9+3/4*a^11/b^13/(b*x^2+a)^8-33/7*a^10/b^13/(b*x^2+a)^7+55/3*a^9/b^13/(b*x^2+a)^6-99/2*a^8/b^13/(b*x^2+a)^5+99*a^7/b^13/(b*x^2+a)^4-154*a^6/b^13/(b*x^2+a)^3+198*a^5/b^13/(b*x^2+a)^2-495/2*a^4/b^13/(b*x^2+a)-110*a^3*ln(b*x^2+a)/b^13","A"
193,1,188,187,0.018000," ","int(x^23/(b*x^2+a)^10,x)","\frac{a^{11}}{18 \left(b \,x^{2}+a \right)^{9} b^{12}}-\frac{11 a^{10}}{16 \left(b \,x^{2}+a \right)^{8} b^{12}}+\frac{55 a^{9}}{14 \left(b \,x^{2}+a \right)^{7} b^{12}}-\frac{55 a^{8}}{4 \left(b \,x^{2}+a \right)^{6} b^{12}}+\frac{33 a^{7}}{\left(b \,x^{2}+a \right)^{5} b^{12}}-\frac{231 a^{6}}{4 \left(b \,x^{2}+a \right)^{4} b^{12}}+\frac{x^{4}}{4 b^{10}}+\frac{77 a^{5}}{\left(b \,x^{2}+a \right)^{3} b^{12}}-\frac{165 a^{4}}{2 \left(b \,x^{2}+a \right)^{2} b^{12}}-\frac{5 a \,x^{2}}{b^{11}}+\frac{165 a^{3}}{2 \left(b \,x^{2}+a \right) b^{12}}+\frac{55 a^{2} \ln \left(b \,x^{2}+a \right)}{2 b^{12}}"," ",0,"-5*a*x^2/b^11+1/4*x^4/b^10+1/18*a^11/b^12/(b*x^2+a)^9-11/16*a^10/b^12/(b*x^2+a)^8+55/14*a^9/b^12/(b*x^2+a)^7-55/4*a^8/b^12/(b*x^2+a)^6+33*a^7/b^12/(b*x^2+a)^5-231/4*a^6/b^12/(b*x^2+a)^4+77*a^5/b^12/(b*x^2+a)^3-165/2*a^4/b^12/(b*x^2+a)^2+165/2*a^3/b^12/(b*x^2+a)+55/2*a^2*ln(b*x^2+a)/b^12","A"
194,1,177,176,0.019000," ","int(x^21/(b*x^2+a)^10,x)","-\frac{a^{10}}{18 \left(b \,x^{2}+a \right)^{9} b^{11}}+\frac{5 a^{9}}{8 \left(b \,x^{2}+a \right)^{8} b^{11}}-\frac{45 a^{8}}{14 \left(b \,x^{2}+a \right)^{7} b^{11}}+\frac{10 a^{7}}{\left(b \,x^{2}+a \right)^{6} b^{11}}-\frac{21 a^{6}}{\left(b \,x^{2}+a \right)^{5} b^{11}}+\frac{63 a^{5}}{2 \left(b \,x^{2}+a \right)^{4} b^{11}}-\frac{35 a^{4}}{\left(b \,x^{2}+a \right)^{3} b^{11}}+\frac{30 a^{3}}{\left(b \,x^{2}+a \right)^{2} b^{11}}+\frac{x^{2}}{2 b^{10}}-\frac{45 a^{2}}{2 \left(b \,x^{2}+a \right) b^{11}}-\frac{5 a \ln \left(b \,x^{2}+a \right)}{b^{11}}"," ",0,"1/2*x^2/b^10-1/18*a^10/b^11/(b*x^2+a)^9+5/8*a^9/b^11/(b*x^2+a)^8-45/14*a^8/b^11/(b*x^2+a)^7+10*a^7/b^11/(b*x^2+a)^6-21*a^6/b^11/(b*x^2+a)^5+63/2*a^5/b^11/(b*x^2+a)^4-35*a^4/b^11/(b*x^2+a)^3+30*a^3/b^11/(b*x^2+a)^2-45/2*a^2/b^11/(b*x^2+a)-5*a*ln(b*x^2+a)/b^11","A"
195,1,166,165,0.012000," ","int(x^19/(b*x^2+a)^10,x)","\frac{a^{9}}{18 \left(b \,x^{2}+a \right)^{9} b^{10}}-\frac{9 a^{8}}{16 \left(b \,x^{2}+a \right)^{8} b^{10}}+\frac{18 a^{7}}{7 \left(b \,x^{2}+a \right)^{7} b^{10}}-\frac{7 a^{6}}{\left(b \,x^{2}+a \right)^{6} b^{10}}+\frac{63 a^{5}}{5 \left(b \,x^{2}+a \right)^{5} b^{10}}-\frac{63 a^{4}}{4 \left(b \,x^{2}+a \right)^{4} b^{10}}+\frac{14 a^{3}}{\left(b \,x^{2}+a \right)^{3} b^{10}}-\frac{9 a^{2}}{\left(b \,x^{2}+a \right)^{2} b^{10}}+\frac{9 a}{2 \left(b \,x^{2}+a \right) b^{10}}+\frac{\ln \left(b \,x^{2}+a \right)}{2 b^{10}}"," ",0,"1/18*a^9/b^10/(b*x^2+a)^9-9/16*a^8/b^10/(b*x^2+a)^8+18/7*a^7/b^10/(b*x^2+a)^7-7*a^6/b^10/(b*x^2+a)^6+63/5*a^5/b^10/(b*x^2+a)^5-63/4*a^4/b^10/(b*x^2+a)^4+14*a^3/b^10/(b*x^2+a)^3-9*a^2/b^10/(b*x^2+a)^2+9/2*a/b^10/(b*x^2+a)+1/2*ln(b*x^2+a)/b^10","A"
196,1,150,17,0.010000," ","int(x^17/(b*x^2+a)^10,x)","-\frac{a^{8}}{18 \left(b \,x^{2}+a \right)^{9} b^{9}}+\frac{a^{7}}{2 \left(b \,x^{2}+a \right)^{8} b^{9}}-\frac{2 a^{6}}{\left(b \,x^{2}+a \right)^{7} b^{9}}+\frac{14 a^{5}}{3 \left(b \,x^{2}+a \right)^{6} b^{9}}-\frac{7 a^{4}}{\left(b \,x^{2}+a \right)^{5} b^{9}}+\frac{7 a^{3}}{\left(b \,x^{2}+a \right)^{4} b^{9}}-\frac{14 a^{2}}{3 \left(b \,x^{2}+a \right)^{3} b^{9}}+\frac{2 a}{\left(b \,x^{2}+a \right)^{2} b^{9}}-\frac{1}{2 \left(b \,x^{2}+a \right) b^{9}}"," ",0,"1/2*a^7/b^9/(b*x^2+a)^8-1/2/b^9/(b*x^2+a)-2*a^6/b^9/(b*x^2+a)^7-7*a^4/b^9/(b*x^2+a)^5+7*a^3/b^9/(b*x^2+a)^4-14/3*a^2/b^9/(b*x^2+a)^3+14/3*a^5/b^9/(b*x^2+a)^6-1/18*a^8/b^9/(b*x^2+a)^9+2*a/b^9/(b*x^2+a)^2","B"
197,1,133,35,0.009000," ","int(x^15/(b*x^2+a)^10,x)","\frac{a^{7}}{18 \left(b \,x^{2}+a \right)^{9} b^{8}}-\frac{7 a^{6}}{16 \left(b \,x^{2}+a \right)^{8} b^{8}}+\frac{3 a^{5}}{2 \left(b \,x^{2}+a \right)^{7} b^{8}}-\frac{35 a^{4}}{12 \left(b \,x^{2}+a \right)^{6} b^{8}}+\frac{7 a^{3}}{2 \left(b \,x^{2}+a \right)^{5} b^{8}}-\frac{21 a^{2}}{8 \left(b \,x^{2}+a \right)^{4} b^{8}}+\frac{7 a}{6 \left(b \,x^{2}+a \right)^{3} b^{8}}-\frac{1}{4 \left(b \,x^{2}+a \right)^{2} b^{8}}"," ",0,"-7/16*a^6/b^8/(b*x^2+a)^8+3/2*a^5/b^8/(b*x^2+a)^7+7/2*a^3/b^8/(b*x^2+a)^5-21/8*a^2/b^8/(b*x^2+a)^4+7/6*a/b^8/(b*x^2+a)^3+1/18*a^7/b^8/(b*x^2+a)^9-35/12*a^4/b^8/(b*x^2+a)^6-1/4/b^8/(b*x^2+a)^2","B"
198,1,116,52,0.010000," ","int(x^13/(b*x^2+a)^10,x)","-\frac{a^{6}}{18 \left(b \,x^{2}+a \right)^{9} b^{7}}+\frac{3 a^{5}}{8 \left(b \,x^{2}+a \right)^{8} b^{7}}-\frac{15 a^{4}}{14 \left(b \,x^{2}+a \right)^{7} b^{7}}+\frac{5 a^{3}}{3 \left(b \,x^{2}+a \right)^{6} b^{7}}-\frac{3 a^{2}}{2 \left(b \,x^{2}+a \right)^{5} b^{7}}+\frac{3 a}{4 \left(b \,x^{2}+a \right)^{4} b^{7}}-\frac{1}{6 \left(b \,x^{2}+a \right)^{3} b^{7}}"," ",0,"3/8*a^5/b^7/(b*x^2+a)^8-15/14*a^4/b^7/(b*x^2+a)^7-1/6/b^7/(b*x^2+a)^3-3/2*a^2/b^7/(b*x^2+a)^5+3/4*a/b^7/(b*x^2+a)^4-1/18*a^6/b^7/(b*x^2+a)^9+5/3*a^3/b^7/(b*x^2+a)^6","B"
199,1,99,69,0.009000," ","int(x^11/(b*x^2+a)^10,x)","\frac{a^{5}}{18 \left(b \,x^{2}+a \right)^{9} b^{6}}-\frac{5 a^{4}}{16 \left(b \,x^{2}+a \right)^{8} b^{6}}+\frac{5 a^{3}}{7 \left(b \,x^{2}+a \right)^{7} b^{6}}-\frac{5 a^{2}}{6 \left(b \,x^{2}+a \right)^{6} b^{6}}+\frac{a}{2 \left(b \,x^{2}+a \right)^{5} b^{6}}-\frac{1}{8 \left(b \,x^{2}+a \right)^{4} b^{6}}"," ",0,"-5/16*a^4/b^6/(b*x^2+a)^8+5/7*a^3/b^6/(b*x^2+a)^7+1/2*a/b^6/(b*x^2+a)^5-1/8/b^6/(b*x^2+a)^4-5/6*a^2/b^6/(b*x^2+a)^6+1/18*a^5/b^6/(b*x^2+a)^9","A"
200,1,82,81,0.010000," ","int(x^9/(b*x^2+a)^10,x)","-\frac{a^{4}}{18 \left(b \,x^{2}+a \right)^{9} b^{5}}+\frac{a^{3}}{4 \left(b \,x^{2}+a \right)^{8} b^{5}}-\frac{3 a^{2}}{7 \left(b \,x^{2}+a \right)^{7} b^{5}}+\frac{a}{3 \left(b \,x^{2}+a \right)^{6} b^{5}}-\frac{1}{10 \left(b \,x^{2}+a \right)^{5} b^{5}}"," ",0,"-1/18*a^4/b^5/(b*x^2+a)^9+1/4*a^3/b^5/(b*x^2+a)^8-3/7*a^2/b^5/(b*x^2+a)^7+1/3*a/b^5/(b*x^2+a)^6-1/10/b^5/(b*x^2+a)^5","A"
201,1,65,64,0.007000," ","int(x^7/(b*x^2+a)^10,x)","\frac{a^{3}}{18 \left(b \,x^{2}+a \right)^{9} b^{4}}-\frac{3 a^{2}}{16 \left(b \,x^{2}+a \right)^{8} b^{4}}+\frac{3 a}{14 \left(b \,x^{2}+a \right)^{7} b^{4}}-\frac{1}{12 \left(b \,x^{2}+a \right)^{6} b^{4}}"," ",0,"1/18*a^3/b^4/(b*x^2+a)^9-3/16*a^2/b^4/(b*x^2+a)^8+3/14*a/b^4/(b*x^2+a)^7-1/12/b^4/(b*x^2+a)^6","A"
202,1,48,47,0.009000," ","int(x^5/(b*x^2+a)^10,x)","-\frac{a^{2}}{18 \left(b \,x^{2}+a \right)^{9} b^{3}}+\frac{a}{8 \left(b \,x^{2}+a \right)^{8} b^{3}}-\frac{1}{14 \left(b \,x^{2}+a \right)^{7} b^{3}}"," ",0,"-1/18*a^2/b^3/(b*x^2+a)^9+1/8*a/b^3/(b*x^2+a)^8-1/14/b^3/(b*x^2+a)^7","A"
203,1,31,30,0.008000," ","int(x^3/(b*x^2+a)^10,x)","\frac{a}{18 \left(b \,x^{2}+a \right)^{9} b^{2}}-\frac{1}{16 \left(b \,x^{2}+a \right)^{8} b^{2}}"," ",0,"1/18*a/b^2/(b*x^2+a)^9-1/16/b^2/(b*x^2+a)^8","A"
204,1,15,14,0.001000," ","int(x/(b*x^2+a)^10,x)","-\frac{1}{18 \left(b \,x^{2}+a \right)^{9} b}"," ",0,"-1/18/b/(b*x^2+a)^9","A"
205,1,147,146,0.018000," ","int(1/x/(b*x^2+a)^10,x)","\frac{1}{18 \left(b \,x^{2}+a \right)^{9} a}+\frac{1}{16 \left(b \,x^{2}+a \right)^{8} a^{2}}+\frac{1}{14 \left(b \,x^{2}+a \right)^{7} a^{3}}+\frac{1}{12 \left(b \,x^{2}+a \right)^{6} a^{4}}+\frac{1}{10 \left(b \,x^{2}+a \right)^{5} a^{5}}+\frac{1}{8 \left(b \,x^{2}+a \right)^{4} a^{6}}+\frac{1}{6 \left(b \,x^{2}+a \right)^{3} a^{7}}+\frac{1}{4 \left(b \,x^{2}+a \right)^{2} a^{8}}+\frac{1}{2 \left(b \,x^{2}+a \right) a^{9}}+\frac{\ln \left(x \right)}{a^{10}}-\frac{\ln \left(b \,x^{2}+a \right)}{2 a^{10}}"," ",0,"1/18/a/(b*x^2+a)^9+1/16/a^2/(b*x^2+a)^8+1/14/a^3/(b*x^2+a)^7+1/12/a^4/(b*x^2+a)^6+1/10/a^5/(b*x^2+a)^5+1/8/a^6/(b*x^2+a)^4+1/6/a^7/(b*x^2+a)^3+1/4/a^8/(b*x^2+a)^2+1/2/a^9/(b*x^2+a)+ln(x)/a^10-1/2*ln(b*x^2+a)/a^10","A"
206,1,167,166,0.020000," ","int(1/x^3/(b*x^2+a)^10,x)","-\frac{b}{18 \left(b \,x^{2}+a \right)^{9} a^{2}}-\frac{b}{8 \left(b \,x^{2}+a \right)^{8} a^{3}}-\frac{3 b}{14 \left(b \,x^{2}+a \right)^{7} a^{4}}-\frac{b}{3 \left(b \,x^{2}+a \right)^{6} a^{5}}-\frac{b}{2 \left(b \,x^{2}+a \right)^{5} a^{6}}-\frac{3 b}{4 \left(b \,x^{2}+a \right)^{4} a^{7}}-\frac{7 b}{6 \left(b \,x^{2}+a \right)^{3} a^{8}}-\frac{2 b}{\left(b \,x^{2}+a \right)^{2} a^{9}}-\frac{9 b}{2 \left(b \,x^{2}+a \right) a^{10}}-\frac{10 b \ln \left(x \right)}{a^{11}}+\frac{5 b \ln \left(b \,x^{2}+a \right)}{a^{11}}-\frac{1}{2 a^{10} x^{2}}"," ",0,"-1/2/a^10/x^2-1/18*b/a^2/(b*x^2+a)^9-1/8*b/a^3/(b*x^2+a)^8-3/14*b/a^4/(b*x^2+a)^7-1/3*b/a^5/(b*x^2+a)^6-1/2*b/a^6/(b*x^2+a)^5-3/4*b/a^7/(b*x^2+a)^4-7/6*b/a^8/(b*x^2+a)^3-2*b/a^9/(b*x^2+a)^2-9/2*b/a^10/(b*x^2+a)-10*b*ln(x)/a^11+5*b*ln(b*x^2+a)/a^11","A"
207,1,198,197,0.022000," ","int(1/x^5/(b*x^2+a)^10,x)","\frac{b^{2}}{18 \left(b \,x^{2}+a \right)^{9} a^{3}}+\frac{3 b^{2}}{16 \left(b \,x^{2}+a \right)^{8} a^{4}}+\frac{3 b^{2}}{7 \left(b \,x^{2}+a \right)^{7} a^{5}}+\frac{5 b^{2}}{6 \left(b \,x^{2}+a \right)^{6} a^{6}}+\frac{3 b^{2}}{2 \left(b \,x^{2}+a \right)^{5} a^{7}}+\frac{21 b^{2}}{8 \left(b \,x^{2}+a \right)^{4} a^{8}}+\frac{14 b^{2}}{3 \left(b \,x^{2}+a \right)^{3} a^{9}}+\frac{9 b^{2}}{\left(b \,x^{2}+a \right)^{2} a^{10}}+\frac{45 b^{2}}{2 \left(b \,x^{2}+a \right) a^{11}}+\frac{55 b^{2} \ln \left(x \right)}{a^{12}}-\frac{55 b^{2} \ln \left(b \,x^{2}+a \right)}{2 a^{12}}+\frac{5 b}{a^{11} x^{2}}-\frac{1}{4 a^{10} x^{4}}"," ",0,"-1/4/a^10/x^4+5*b/a^11/x^2+1/18*b^2/a^3/(b*x^2+a)^9+3/16*b^2/a^4/(b*x^2+a)^8+3/7*b^2/a^5/(b*x^2+a)^7+5/6*b^2/a^6/(b*x^2+a)^6+3/2*b^2/a^7/(b*x^2+a)^5+21/8*b^2/a^8/(b*x^2+a)^4+14/3*b^2/a^9/(b*x^2+a)^3+9*b^2/a^10/(b*x^2+a)^2+45/2*b^2/a^11/(b*x^2+a)+55*b^2*ln(x)/a^12-55/2*b^2*ln(b*x^2+a)/a^12","A"
208,1,209,208,0.022000," ","int(1/x^7/(b*x^2+a)^10,x)","-\frac{b^{3}}{18 \left(b \,x^{2}+a \right)^{9} a^{4}}-\frac{b^{3}}{4 \left(b \,x^{2}+a \right)^{8} a^{5}}-\frac{5 b^{3}}{7 \left(b \,x^{2}+a \right)^{7} a^{6}}-\frac{5 b^{3}}{3 \left(b \,x^{2}+a \right)^{6} a^{7}}-\frac{7 b^{3}}{2 \left(b \,x^{2}+a \right)^{5} a^{8}}-\frac{7 b^{3}}{\left(b \,x^{2}+a \right)^{4} a^{9}}-\frac{14 b^{3}}{\left(b \,x^{2}+a \right)^{3} a^{10}}-\frac{30 b^{3}}{\left(b \,x^{2}+a \right)^{2} a^{11}}-\frac{165 b^{3}}{2 \left(b \,x^{2}+a \right) a^{12}}-\frac{220 b^{3} \ln \left(x \right)}{a^{13}}+\frac{110 b^{3} \ln \left(b \,x^{2}+a \right)}{a^{13}}-\frac{55 b^{2}}{2 a^{12} x^{2}}+\frac{5 b}{2 a^{11} x^{4}}-\frac{1}{6 a^{10} x^{6}}"," ",0,"-1/6/a^10/x^6+5/2*b/a^11/x^4-55/2*b^2/a^12/x^2-1/18*b^3/a^4/(b*x^2+a)^9-1/4*b^3/a^5/(b*x^2+a)^8-5/7*b^3/a^6/(b*x^2+a)^7-5/3*b^3/a^7/(b*x^2+a)^6-7/2*b^3/a^8/(b*x^2+a)^5-7*b^3/a^9/(b*x^2+a)^4-14*b^3/a^10/(b*x^2+a)^3-30*b^3/a^11/(b*x^2+a)^2-165/2*b^3/a^12/(b*x^2+a)-220*b^3*ln(x)/a^13+110*b^3*ln(b*x^2+a)/a^13","A"
209,1,228,197,0.022000," ","int(x^24/(b*x^2+a)^10,x)","\frac{6981491 a^{3} x^{17}}{65536 \left(b \,x^{2}+a \right)^{9} b^{4}}+\frac{74539223 a^{4} x^{15}}{98304 \left(b \,x^{2}+a \right)^{9} b^{5}}+\frac{394553929 a^{5} x^{13}}{163840 \left(b \,x^{2}+a \right)^{9} b^{6}}+\frac{725918941 a^{6} x^{11}}{163840 \left(b \,x^{2}+a \right)^{9} b^{7}}+\frac{463199 a^{7} x^{9}}{90 \left(b \,x^{2}+a \right)^{9} b^{8}}+\frac{631790371 a^{8} x^{7}}{163840 \left(b \,x^{2}+a \right)^{9} b^{9}}+\frac{297702839 a^{9} x^{5}}{163840 \left(b \,x^{2}+a \right)^{9} b^{10}}+\frac{48340777 a^{10} x^{3}}{98304 \left(b \,x^{2}+a \right)^{9} b^{11}}+\frac{3831949 a^{11} x}{65536 \left(b \,x^{2}+a \right)^{9} b^{12}}+\frac{x^{5}}{5 b^{10}}-\frac{10 a \,x^{3}}{3 b^{11}}-\frac{7436429 a^{3} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, b^{12}}+\frac{55 a^{2} x}{b^{12}}"," ",0,"1/5*x^5/b^10-10/3*a*x^3/b^11+55*a^2*x/b^12+3831949/65536/b^12*a^11/(b*x^2+a)^9*x+48340777/98304/b^11*a^10/(b*x^2+a)^9*x^3+297702839/163840/b^10*a^9/(b*x^2+a)^9*x^5+631790371/163840/b^9*a^8/(b*x^2+a)^9*x^7+463199/90/b^8*a^7/(b*x^2+a)^9*x^9+725918941/163840/b^7*a^6/(b*x^2+a)^9*x^11+394553929/163840/b^6*a^5/(b*x^2+a)^9*x^13+74539223/98304/b^5*a^4/(b*x^2+a)^9*x^15+6981491/65536/b^4*a^3/(b*x^2+a)^9*x^17-7436429/65536/b^12*a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
210,1,217,186,0.023000," ","int(x^22/(b*x^2+a)^10,x)","-\frac{1987865 a^{2} x^{17}}{65536 \left(b \,x^{2}+a \right)^{9} b^{3}}-\frac{20435525 a^{3} x^{15}}{98304 \left(b \,x^{2}+a \right)^{9} b^{4}}-\frac{21103775 a^{4} x^{13}}{32768 \left(b \,x^{2}+a \right)^{9} b^{5}}-\frac{38143787 a^{5} x^{11}}{32768 \left(b \,x^{2}+a \right)^{9} b^{6}}-\frac{24013 a^{6} x^{9}}{18 \left(b \,x^{2}+a \right)^{9} b^{7}}-\frac{32405717 a^{7} x^{7}}{32768 \left(b \,x^{2}+a \right)^{9} b^{8}}-\frac{15137633 a^{8} x^{5}}{32768 \left(b \,x^{2}+a \right)^{9} b^{9}}-\frac{12201403 a^{9} x^{3}}{98304 \left(b \,x^{2}+a \right)^{9} b^{10}}-\frac{961255 a^{10} x}{65536 \left(b \,x^{2}+a \right)^{9} b^{11}}+\frac{x^{3}}{3 b^{10}}+\frac{1616615 a^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, b^{11}}-\frac{10 a x}{b^{11}}"," ",0,"1/3*x^3/b^10-10*a*x/b^11-961255/65536/b^11*a^10/(b*x^2+a)^9*x-12201403/98304/b^10*a^9/(b*x^2+a)^9*x^3-15137633/32768/b^9*a^8/(b*x^2+a)^9*x^5-32405717/32768/b^8*a^7/(b*x^2+a)^9*x^7-24013/18/b^7*a^6/(b*x^2+a)^9*x^9-38143787/32768/b^6*a^5/(b*x^2+a)^9*x^11-21103775/32768/b^5*a^4/(b*x^2+a)^9*x^13-20435525/98304/b^4*a^3/(b*x^2+a)^9*x^15-1987865/65536/b^3*a^2/(b*x^2+a)^9*x^17+1616615/65536/b^11*a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
211,1,203,177,0.024000," ","int(x^20/(b*x^2+a)^10,x)","\frac{424415 a \,x^{17}}{65536 \left(b \,x^{2}+a \right)^{9} b^{2}}+\frac{4042835 a^{2} x^{15}}{98304 \left(b \,x^{2}+a \right)^{9} b^{3}}+\frac{3997865 a^{3} x^{13}}{32768 \left(b \,x^{2}+a \right)^{9} b^{4}}+\frac{49153835 a^{4} x^{11}}{229376 \left(b \,x^{2}+a \right)^{9} b^{5}}+\frac{30313 a^{5} x^{9}}{126 \left(b \,x^{2}+a \right)^{9} b^{6}}+\frac{40270037 a^{6} x^{7}}{229376 \left(b \,x^{2}+a \right)^{9} b^{7}}+\frac{2654039 a^{7} x^{5}}{32768 \left(b \,x^{2}+a \right)^{9} b^{8}}+\frac{2117549 a^{8} x^{3}}{98304 \left(b \,x^{2}+a \right)^{9} b^{9}}+\frac{165409 a^{9} x}{65536 \left(b \,x^{2}+a \right)^{9} b^{10}}-\frac{230945 a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, b^{10}}+\frac{x}{b^{10}}"," ",0,"x/b^10+165409/65536/b^10*a^9/(b*x^2+a)^9*x+2117549/98304/b^9*a^8/(b*x^2+a)^9*x^3+2654039/32768/b^8*a^7/(b*x^2+a)^9*x^5+40270037/229376/b^7*a^6/(b*x^2+a)^9*x^7+30313/126/b^6*a^5/(b*x^2+a)^9*x^9+49153835/229376/b^5*a^4/(b*x^2+a)^9*x^11+3997865/32768/b^4*a^3/(b*x^2+a)^9*x^13+4042835/98304/b^3*a^2/(b*x^2+a)^9*x^15+424415/65536/b^2*a/(b*x^2+a)^9*x^17-230945/65536/b^10*a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
212,1,124,169,0.018000," ","int(x^18/(b*x^2+a)^10,x)","\frac{12155 \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, b^{9}}+\frac{-\frac{53381 x^{17}}{65536 b}-\frac{399041 a \,x^{15}}{98304 b^{2}}-\frac{355283 a^{2} x^{13}}{32768 b^{3}}-\frac{4108169 a^{3} x^{11}}{229376 b^{4}}-\frac{2431 a^{4} x^{9}}{126 b^{5}}-\frac{3133559 a^{5} x^{7}}{229376 b^{6}}-\frac{201773 a^{6} x^{5}}{32768 b^{7}}-\frac{158015 a^{7} x^{3}}{98304 b^{8}}-\frac{12155 a^{8} x}{65536 b^{9}}}{\left(b \,x^{2}+a \right)^{9}}"," ",0,"(-12155/65536*a^8/b^9*x-158015/98304*a^7/b^8*x^3-201773/32768*a^6/b^7*x^5-3133559/229376*a^5/b^6*x^7-2431/126*a^4/b^5*x^9-4108169/229376*a^3/b^4*x^11-355283/32768*a^2/b^3*x^13-399041/98304*a/b^2*x^15-53381/65536/b*x^17)/(b*x^2+a)^9+12155/65536/b^9/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
213,1,124,170,0.017000," ","int(x^16/(b*x^2+a)^10,x)","\frac{715 \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, a \,b^{8}}+\frac{\frac{715 x^{17}}{65536 a}-\frac{23473 x^{15}}{98304 b}-\frac{20899 a \,x^{13}}{32768 b^{2}}-\frac{241657 a^{2} x^{11}}{229376 b^{3}}-\frac{143 a^{3} x^{9}}{126 b^{4}}-\frac{184327 a^{4} x^{7}}{229376 b^{5}}-\frac{11869 a^{5} x^{5}}{32768 b^{6}}-\frac{9295 a^{6} x^{3}}{98304 b^{7}}-\frac{715 a^{7} x}{65536 b^{8}}}{\left(b \,x^{2}+a \right)^{9}}"," ",0,"(-715/65536*a^7/b^8*x-9295/98304*a^6/b^7*x^3-11869/32768*a^5/b^6*x^5-184327/229376*a^4/b^5*x^7-143/126*a^3/b^4*x^9-241657/229376*a^2/b^3*x^11-20899/32768*a/b^2*x^13-23473/98304/b*x^15+715/65536/a*x^17)/(b*x^2+a)^9+715/65536/a/b^8/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
214,1,122,171,0.018000," ","int(x^14/(b*x^2+a)^10,x)","\frac{143 \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, a^{2} b^{7}}+\frac{\frac{143 b \,x^{17}}{65536 a^{2}}+\frac{1859 x^{15}}{98304 a}-\frac{20899 x^{13}}{163840 b}-\frac{241657 a \,x^{11}}{1146880 b^{2}}-\frac{143 a^{2} x^{9}}{630 b^{3}}-\frac{184327 a^{3} x^{7}}{1146880 b^{4}}-\frac{11869 a^{4} x^{5}}{163840 b^{5}}-\frac{1859 a^{5} x^{3}}{98304 b^{6}}-\frac{143 a^{6} x}{65536 b^{7}}}{\left(b \,x^{2}+a \right)^{9}}"," ",0,"(-143/65536*a^6/b^7*x-1859/98304*a^5/b^6*x^3-11869/163840*a^4/b^5*x^5-184327/1146880*a^3/b^4*x^7-143/630*a^2/b^3*x^9-241657/1146880*a/b^2*x^11-20899/163840/b*x^13+1859/98304/a*x^15+143/65536/a^2*b*x^17)/(b*x^2+a)^9+143/65536/a^2/b^7/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
215,1,122,172,0.019000," ","int(x^12/(b*x^2+a)^10,x)","\frac{55 \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, a^{3} b^{6}}+\frac{\frac{55 b^{2} x^{17}}{65536 a^{3}}+\frac{715 b \,x^{15}}{98304 a^{2}}+\frac{913 x^{13}}{32768 a}-\frac{18589 x^{11}}{229376 b}-\frac{11 a \,x^{9}}{126 b^{2}}-\frac{14179 a^{2} x^{7}}{229376 b^{3}}-\frac{913 a^{3} x^{5}}{32768 b^{4}}-\frac{715 a^{4} x^{3}}{98304 b^{5}}-\frac{55 a^{5} x}{65536 b^{6}}}{\left(b \,x^{2}+a \right)^{9}}"," ",0,"(-55/65536*a^5/b^6*x-715/98304*a^4/b^5*x^3-913/32768*a^3/b^4*x^5-14179/229376*a^2/b^3*x^7-11/126*a/b^2*x^9-18589/229376/b*x^11+913/32768/a*x^13+715/98304/a^2*b*x^15+55/65536*b^2/a^3*x^17)/(b*x^2+a)^9+55/65536/a^3/b^6/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
216,1,122,173,0.016000," ","int(x^10/(b*x^2+a)^10,x)","\frac{35 \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, a^{4} b^{5}}+\frac{\frac{35 b^{3} x^{17}}{65536 a^{4}}+\frac{455 b^{2} x^{15}}{98304 a^{3}}+\frac{581 b \,x^{13}}{32768 a^{2}}+\frac{1289 x^{11}}{32768 a}-\frac{x^{9}}{18 b}-\frac{1289 a \,x^{7}}{32768 b^{2}}-\frac{581 a^{2} x^{5}}{32768 b^{3}}-\frac{455 a^{3} x^{3}}{98304 b^{4}}-\frac{35 a^{4} x}{65536 b^{5}}}{\left(b \,x^{2}+a \right)^{9}}"," ",0,"(-35/65536*a^4/b^5*x-455/98304*a^3/b^4*x^3-581/32768*a^2/b^3*x^5-1289/32768*a/b^2*x^7-1/18/b*x^9+1289/32768/a*x^11+581/32768/a^2*b*x^13+455/98304*b^2/a^3*x^15+35/65536*b^3/a^4*x^17)/(b*x^2+a)^9+35/65536/a^4/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
217,1,122,174,0.015000," ","int(x^8/(b*x^2+a)^10,x)","\frac{35 \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, a^{5} b^{4}}+\frac{\frac{35 b^{4} x^{17}}{65536 a^{5}}+\frac{455 b^{3} x^{15}}{98304 a^{4}}+\frac{581 b^{2} x^{13}}{32768 a^{3}}+\frac{1289 b \,x^{11}}{32768 a^{2}}+\frac{x^{9}}{18 a}-\frac{1289 x^{7}}{32768 b}-\frac{581 a \,x^{5}}{32768 b^{2}}-\frac{455 a^{2} x^{3}}{98304 b^{3}}-\frac{35 a^{3} x}{65536 b^{4}}}{\left(b \,x^{2}+a \right)^{9}}"," ",0,"(-35/65536*a^3/b^4*x-455/98304*a^2/b^3*x^3-581/32768*a/b^2*x^5-1289/32768/b*x^7+1/18/a*x^9+1289/32768/a^2*b*x^11+581/32768*b^2/a^3*x^13+455/98304*b^3/a^4*x^15+35/65536*b^4/a^5*x^17)/(b*x^2+a)^9+35/65536/a^5/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
218,1,122,175,0.015000," ","int(x^6/(b*x^2+a)^10,x)","\frac{55 \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, a^{6} b^{3}}+\frac{\frac{55 b^{5} x^{17}}{65536 a^{6}}+\frac{715 b^{4} x^{15}}{98304 a^{5}}+\frac{913 b^{3} x^{13}}{32768 a^{4}}+\frac{14179 b^{2} x^{11}}{229376 a^{3}}+\frac{11 b \,x^{9}}{126 a^{2}}+\frac{18589 x^{7}}{229376 a}-\frac{913 x^{5}}{32768 b}-\frac{715 a \,x^{3}}{98304 b^{2}}-\frac{55 a^{2} x}{65536 b^{3}}}{\left(b \,x^{2}+a \right)^{9}}"," ",0,"(-55/65536*a^2/b^3*x-715/98304*a/b^2*x^3-913/32768/b*x^5+18589/229376/a*x^7+11/126/a^2*b*x^9+14179/229376*b^2/a^3*x^11+913/32768*b^3/a^4*x^13+715/98304*b^4/a^5*x^15+55/65536/a^6*b^5*x^17)/(b*x^2+a)^9+55/65536/a^6/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
219,1,122,176,0.016000," ","int(x^4/(b*x^2+a)^10,x)","\frac{143 \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, a^{7} b^{2}}+\frac{\frac{143 b^{6} x^{17}}{65536 a^{7}}+\frac{1859 b^{5} x^{15}}{98304 a^{6}}+\frac{11869 b^{4} x^{13}}{163840 a^{5}}+\frac{184327 b^{3} x^{11}}{1146880 a^{4}}+\frac{143 b^{2} x^{9}}{630 a^{3}}+\frac{241657 b \,x^{7}}{1146880 a^{2}}+\frac{20899 x^{5}}{163840 a}-\frac{1859 x^{3}}{98304 b}-\frac{143 a x}{65536 b^{2}}}{\left(b \,x^{2}+a \right)^{9}}"," ",0,"(-143/65536*a/b^2*x-1859/98304/b*x^3+20899/163840/a*x^5+241657/1146880/a^2*b*x^7+143/630*b^2/a^3*x^9+184327/1146880*b^3/a^4*x^11+11869/163840*b^4/a^5*x^13+1859/98304/a^6*b^5*x^15+143/65536/a^7*b^6*x^17)/(b*x^2+a)^9+143/65536/a^7/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
220,1,124,177,0.016000," ","int(x^2/(b*x^2+a)^10,x)","\frac{715 \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, a^{8} b}+\frac{\frac{715 b^{7} x^{17}}{65536 a^{8}}+\frac{9295 b^{6} x^{15}}{98304 a^{7}}+\frac{11869 b^{5} x^{13}}{32768 a^{6}}+\frac{184327 b^{4} x^{11}}{229376 a^{5}}+\frac{143 b^{3} x^{9}}{126 a^{4}}+\frac{241657 b^{2} x^{7}}{229376 a^{3}}+\frac{20899 b \,x^{5}}{32768 a^{2}}+\frac{23473 x^{3}}{98304 a}-\frac{715 x}{65536 b}}{\left(b \,x^{2}+a \right)^{9}}"," ",0,"(-715/65536/b*x+23473/98304/a*x^3+20899/32768/a^2*b*x^5+241657/229376*b^2/a^3*x^7+143/126*b^3/a^4*x^9+184327/229376*b^4/a^5*x^11+11869/32768/a^6*b^5*x^13+9295/98304/a^7*b^6*x^15+715/65536/a^8*b^7*x^17)/(b*x^2+a)^9+715/65536/a^8/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
221,1,156,153,0.006000," ","int(1/(b*x^2+a)^10,x)","\frac{x}{18 \left(b \,x^{2}+a \right)^{9} a}+\frac{17 x}{288 \left(b \,x^{2}+a \right)^{8} a^{2}}+\frac{85 x}{1344 \left(b \,x^{2}+a \right)^{7} a^{3}}+\frac{1105 x}{16128 \left(b \,x^{2}+a \right)^{6} a^{4}}+\frac{2431 x}{32256 \left(b \,x^{2}+a \right)^{5} a^{5}}+\frac{2431 x}{28672 \left(b \,x^{2}+a \right)^{4} a^{6}}+\frac{2431 x}{24576 \left(b \,x^{2}+a \right)^{3} a^{7}}+\frac{12155 x}{98304 \left(b \,x^{2}+a \right)^{2} a^{8}}+\frac{12155 x}{65536 \left(b \,x^{2}+a \right) a^{9}}+\frac{12155 \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, a^{9}}"," ",0,"1/18*x/a/(b*x^2+a)^9+17/288*x/a^2/(b*x^2+a)^8+85/1344*x/a^3/(b*x^2+a)^7+1105/16128*x/a^4/(b*x^2+a)^6+2431/32256*x/a^5/(b*x^2+a)^5+2431/28672*x/a^6/(b*x^2+a)^4+2431/24576*x/a^7/(b*x^2+a)^3+12155/98304*x/a^8/(b*x^2+a)^2+12155/65536*x/a^9/(b*x^2+a)+12155/65536/a^9/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
222,1,206,179,0.023000," ","int(1/x^2/(b*x^2+a)^10,x)","-\frac{165409 b^{9} x^{17}}{65536 \left(b \,x^{2}+a \right)^{9} a^{10}}-\frac{2117549 b^{8} x^{15}}{98304 \left(b \,x^{2}+a \right)^{9} a^{9}}-\frac{2654039 b^{7} x^{13}}{32768 \left(b \,x^{2}+a \right)^{9} a^{8}}-\frac{40270037 b^{6} x^{11}}{229376 \left(b \,x^{2}+a \right)^{9} a^{7}}-\frac{30313 b^{5} x^{9}}{126 \left(b \,x^{2}+a \right)^{9} a^{6}}-\frac{49153835 b^{4} x^{7}}{229376 \left(b \,x^{2}+a \right)^{9} a^{5}}-\frac{3997865 b^{3} x^{5}}{32768 \left(b \,x^{2}+a \right)^{9} a^{4}}-\frac{4042835 b^{2} x^{3}}{98304 \left(b \,x^{2}+a \right)^{9} a^{3}}-\frac{424415 b x}{65536 \left(b \,x^{2}+a \right)^{9} a^{2}}-\frac{230945 b \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, a^{10}}-\frac{1}{a^{10} x}"," ",0,"-1/a^10/x-424415/65536/a^2*b/(b*x^2+a)^9*x-4042835/98304/a^3*b^2/(b*x^2+a)^9*x^3-3997865/32768/a^4*b^3/(b*x^2+a)^9*x^5-49153835/229376/a^5*b^4/(b*x^2+a)^9*x^7-30313/126/a^6*b^5/(b*x^2+a)^9*x^9-40270037/229376/a^7*b^6/(b*x^2+a)^9*x^11-2654039/32768/a^8*b^7/(b*x^2+a)^9*x^13-2117549/98304/a^9*b^8/(b*x^2+a)^9*x^15-165409/65536/a^10*b^9/(b*x^2+a)^9*x^17-230945/65536/a^10*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
223,1,219,188,0.024000," ","int(1/x^4/(b*x^2+a)^10,x)","\frac{961255 b^{10} x^{17}}{65536 \left(b \,x^{2}+a \right)^{9} a^{11}}+\frac{12201403 b^{9} x^{15}}{98304 \left(b \,x^{2}+a \right)^{9} a^{10}}+\frac{15137633 b^{8} x^{13}}{32768 \left(b \,x^{2}+a \right)^{9} a^{9}}+\frac{32405717 b^{7} x^{11}}{32768 \left(b \,x^{2}+a \right)^{9} a^{8}}+\frac{24013 b^{6} x^{9}}{18 \left(b \,x^{2}+a \right)^{9} a^{7}}+\frac{38143787 b^{5} x^{7}}{32768 \left(b \,x^{2}+a \right)^{9} a^{6}}+\frac{21103775 b^{4} x^{5}}{32768 \left(b \,x^{2}+a \right)^{9} a^{5}}+\frac{20435525 b^{3} x^{3}}{98304 \left(b \,x^{2}+a \right)^{9} a^{4}}+\frac{1987865 b^{2} x}{65536 \left(b \,x^{2}+a \right)^{9} a^{3}}+\frac{1616615 b^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, a^{11}}+\frac{10 b}{a^{11} x}-\frac{1}{3 a^{10} x^{3}}"," ",0,"-1/3/a^10/x^3+10*b/a^11/x+1987865/65536/a^3*b^2/(b*x^2+a)^9*x+20435525/98304/a^4*b^3/(b*x^2+a)^9*x^3+21103775/32768/a^5*b^4/(b*x^2+a)^9*x^5+38143787/32768/a^6*b^5/(b*x^2+a)^9*x^7+24013/18/a^7*b^6/(b*x^2+a)^9*x^9+32405717/32768/a^8*b^7/(b*x^2+a)^9*x^11+15137633/32768/a^9*b^8/(b*x^2+a)^9*x^13+12201403/98304/a^10*b^9/(b*x^2+a)^9*x^15+961255/65536/a^11*b^10/(b*x^2+a)^9*x^17+1616615/65536/a^11*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
224,1,230,199,0.026000," ","int(1/x^6/(b*x^2+a)^10,x)","-\frac{3831949 b^{11} x^{17}}{65536 \left(b \,x^{2}+a \right)^{9} a^{12}}-\frac{48340777 b^{10} x^{15}}{98304 \left(b \,x^{2}+a \right)^{9} a^{11}}-\frac{297702839 b^{9} x^{13}}{163840 \left(b \,x^{2}+a \right)^{9} a^{10}}-\frac{631790371 b^{8} x^{11}}{163840 \left(b \,x^{2}+a \right)^{9} a^{9}}-\frac{463199 b^{7} x^{9}}{90 \left(b \,x^{2}+a \right)^{9} a^{8}}-\frac{725918941 b^{6} x^{7}}{163840 \left(b \,x^{2}+a \right)^{9} a^{7}}-\frac{394553929 b^{5} x^{5}}{163840 \left(b \,x^{2}+a \right)^{9} a^{6}}-\frac{74539223 b^{4} x^{3}}{98304 \left(b \,x^{2}+a \right)^{9} a^{5}}-\frac{6981491 b^{3} x}{65536 \left(b \,x^{2}+a \right)^{9} a^{4}}-\frac{7436429 b^{3} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{65536 \sqrt{a b}\, a^{12}}-\frac{55 b^{2}}{a^{12} x}+\frac{10 b}{3 a^{11} x^{3}}-\frac{1}{5 a^{10} x^{5}}"," ",0,"-1/5/a^10/x^5-55*b^2/a^12/x+10/3*b/a^11/x^3-6981491/65536/a^4*b^3/(b*x^2+a)^9*x-74539223/98304/a^5*b^4/(b*x^2+a)^9*x^3-394553929/163840/a^6*b^5/(b*x^2+a)^9*x^5-725918941/163840/a^7*b^6/(b*x^2+a)^9*x^7-463199/90/a^8*b^7/(b*x^2+a)^9*x^9-631790371/163840/a^9*b^8/(b*x^2+a)^9*x^11-297702839/163840/a^10*b^9/(b*x^2+a)^9*x^13-48340777/98304/a^11*b^10/(b*x^2+a)^9*x^15-3831949/65536/a^12*b^11/(b*x^2+a)^9*x^17-7436429/65536/a^12*b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
225,1,26,24,0.003000," ","int(x^3/(-b*x^2+a),x)","-\frac{x^{2}}{2 b}-\frac{a \ln \left(b \,x^{2}-a \right)}{2 b^{2}}"," ",0,"-1/2/b*x^2-1/2*a/b^2*ln(b*x^2-a)","A"
226,1,27,23,0.004000," ","int(x^2/(-b*x^2+a),x)","\frac{a \arctanh \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}-\frac{x}{b}"," ",0,"-1/b*x+a/b/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x)","A"
227,1,16,14,0.002000," ","int(x/(-b*x^2+a),x)","-\frac{\ln \left(b \,x^{2}-a \right)}{2 b}"," ",0,"-1/2/b*ln(b*x^2-a)","A"
228,1,16,16,0.003000," ","int(1/(-b*x^2+a),x)","\frac{\arctanh \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"1/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x)","A"
229,1,23,21,0.006000," ","int(1/x/(-b*x^2+a),x)","\frac{\ln \left(x \right)}{a}-\frac{\ln \left(b \,x^{2}-a \right)}{2 a}"," ",0,"1/a*ln(x)-1/2/a*ln(b*x^2-a)","A"
230,1,29,25,0.005000," ","int(1/x^2/(-b*x^2+a),x)","\frac{b \arctanh \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}-\frac{1}{a x}"," ",0,"-1/a/x+1/a*b/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x)","A"
231,1,33,31,0.006000," ","int(1/x^3/(-b*x^2+a),x)","\frac{b \ln \left(x \right)}{a^{2}}-\frac{b \ln \left(b \,x^{2}-a \right)}{2 a^{2}}-\frac{1}{2 a \,x^{2}}"," ",0,"-1/2/a/x^2+1/a^2*b*ln(x)-1/2*b/a^2*ln(b*x^2-a)","A"
232,1,34,31,0.008000," ","int(x^3/(-b*x^2+a)^2,x)","-\frac{a}{2 \left(b \,x^{2}-a \right) b^{2}}+\frac{\ln \left(b \,x^{2}-a \right)}{2 b^{2}}"," ",0,"1/2/b^2*ln(b*x^2-a)-1/2*a/b^2/(b*x^2-a)","A"
233,1,38,34,0.007000," ","int(x^2/(-b*x^2+a)^2,x)","-\frac{x}{2 \left(b \,x^{2}-a \right) b}-\frac{\arctanh \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b}"," ",0,"-1/2/b*x/(b*x^2-a)-1/2/b/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x)","A"
234,1,17,15,0.000000," ","int(x/(-b*x^2+a)^2,x)","-\frac{1}{2 \left(b \,x^{2}-a \right) b}"," ",0,"-1/2/b/(b*x^2-a)","A"
235,1,38,34,0.004000," ","int(1/(-b*x^2+a)^2,x)","-\frac{x}{2 \left(b \,x^{2}-a \right) a}+\frac{\arctanh \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a}"," ",0,"-1/2*x/a/(b*x^2-a)+1/2/a/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x)","A"
236,1,39,36,0.011000," ","int(1/x/(-b*x^2+a)^2,x)","-\frac{1}{2 \left(b \,x^{2}-a \right) a}+\frac{\ln \left(x \right)}{a^{2}}-\frac{\ln \left(b \,x^{2}-a \right)}{2 a^{2}}"," ",0,"1/a^2*ln(x)-1/2/a^2*ln(b*x^2-a)-1/2/a/(b*x^2-a)","A"
237,1,47,44,0.010000," ","int(1/x^2/(-b*x^2+a)^2,x)","-\frac{\left(\frac{x}{2 b \,x^{2}-2 a}-\frac{3 \arctanh \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}}\right) b}{a^{2}}-\frac{1}{a^{2} x}"," ",0,"-1/a^2/x-1/a^2*b*(1/2*x/(b*x^2-a)-3/2/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x))","A"
238,1,51,48,0.013000," ","int(1/x^3/(-b*x^2+a)^2,x)","-\frac{b}{2 \left(b \,x^{2}-a \right) a^{2}}+\frac{2 b \ln \left(x \right)}{a^{3}}-\frac{b \ln \left(b \,x^{2}-a \right)}{a^{3}}-\frac{1}{2 a^{2} x^{2}}"," ",0,"-1/2/a^2/x^2+2/a^3*b*ln(x)-b/a^3*ln(b*x^2-a)-1/2*b/a^2/(b*x^2-a)","A"
239,1,35,18,0.006000," ","int(x^3/(-b*x^2+a)^3,x)","\frac{a}{4 \left(b \,x^{2}-a \right)^{2} b^{2}}+\frac{1}{2 \left(b \,x^{2}-a \right) b^{2}}"," ",0,"1/4*a/b^2/(b*x^2-a)^2+1/2/b^2/(b*x^2-a)","A"
240,1,52,53,0.009000," ","int(x^2/(-b*x^2+a)^3,x)","-\frac{\arctanh \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a b}-\frac{-\frac{x^{3}}{8 a}-\frac{x}{8 b}}{\left(b \,x^{2}-a \right)^{2}}"," ",0,"-(-1/8/a*x^3-1/8/b*x)/(b*x^2-a)^2-1/8/b/a/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x)","A"
241,1,17,15,0.000000," ","int(x/(-b*x^2+a)^3,x)","\frac{1}{4 \left(b \,x^{2}-a \right)^{2} b}"," ",0,"1/4/b/(b*x^2-a)^2","A"
242,1,61,50,0.005000," ","int(1/(-b*x^2+a)^3,x)","\frac{x}{4 \left(b \,x^{2}-a \right)^{2} a}+\frac{-\frac{3 x}{8 \left(b \,x^{2}-a \right) a}+\frac{3 \arctanh \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a}}{a}"," ",0,"1/4*x/a/(b*x^2-a)^2+3/4/a*(-1/2/(b*x^2-a)/a*x+1/2/a/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x))","A"
243,1,55,51,0.012000," ","int(1/x/(-b*x^2+a)^3,x)","\frac{1}{4 \left(b \,x^{2}-a \right)^{2} a}-\frac{1}{2 \left(b \,x^{2}-a \right) a^{2}}+\frac{\ln \left(x \right)}{a^{3}}-\frac{\ln \left(b \,x^{2}-a \right)}{2 a^{3}}"," ",0,"1/a^3*ln(x)-1/2/a^3*ln(b*x^2-a)+1/4/a/(b*x^2-a)^2-1/2/a^2/(b*x^2-a)","A"
244,1,56,62,0.012000," ","int(1/x^2/(-b*x^2+a)^3,x)","-\frac{\left(-\frac{15 \arctanh \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}}+\frac{\frac{7}{8} b \,x^{3}-\frac{9}{8} a x}{\left(b \,x^{2}-a \right)^{2}}\right) b}{a^{3}}-\frac{1}{a^{3} x}"," ",0,"-1/a^3/x-1/a^3*b*((7/8*b*x^3-9/8*a*x)/(b*x^2-a)^2-15/8/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x))","A"
245,1,68,63,0.013000," ","int(1/x^3/(-b*x^2+a)^3,x)","\frac{b}{4 \left(b \,x^{2}-a \right)^{2} a^{2}}-\frac{b}{\left(b \,x^{2}-a \right) a^{3}}+\frac{3 b \ln \left(x \right)}{a^{4}}-\frac{3 b \ln \left(b \,x^{2}-a \right)}{2 a^{4}}-\frac{1}{2 a^{3} x^{2}}"," ",0,"-1/2/a^3/x^2+3/a^4*b*ln(x)-3/2/a^4*b*ln(b*x^2-a)+1/4/a^2*b/(b*x^2-a)^2-1/a^3*b/(b*x^2-a)","A"
246,1,35,32,0.007000," ","int(x^3/(-b*x^2+a)^5,x)","\frac{a}{8 \left(b \,x^{2}-a \right)^{4} b^{2}}+\frac{1}{6 \left(b \,x^{2}-a \right)^{3} b^{2}}"," ",0,"1/6/b^2/(b*x^2-a)^3+1/8*a/b^2/(b*x^2-a)^4","A"
247,1,72,91,0.010000," ","int(x^2/(-b*x^2+a)^5,x)","-\frac{5 \arctanh \left(\frac{b x}{\sqrt{a b}}\right)}{128 \sqrt{a b}\, a^{3} b}-\frac{-\frac{5 b^{2} x^{7}}{128 a^{3}}+\frac{55 b \,x^{5}}{384 a^{2}}-\frac{73 x^{3}}{384 a}-\frac{5 x}{128 b}}{\left(b \,x^{2}-a \right)^{4}}"," ",0,"-(-5/128/a^3*b^2*x^7+55/384/a^2*b*x^5-73/384/a*x^3-5/128/b*x)/(b*x^2-a)^4-5/128/a^3/b/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x)","A"
248,1,17,15,0.000000," ","int(x/(-b*x^2+a)^5,x)","\frac{1}{8 \left(b \,x^{2}-a \right)^{4} b}"," ",0,"1/8/b/(b*x^2-a)^4","A"
249,1,107,82,0.004000," ","int(1/(-b*x^2+a)^5,x)","\frac{x}{8 \left(b \,x^{2}-a \right)^{4} a}+\frac{-\frac{7 x}{48 \left(b \,x^{2}-a \right)^{3} a}-\frac{35 \left(-\frac{x}{4 \left(b \,x^{2}-a \right)^{2} a}-\frac{3 \left(-\frac{x}{2 \left(b \,x^{2}-a \right) a}+\frac{\arctanh \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a}\right)}{4 a}\right)}{48 a}}{a}"," ",0,"1/8*x/a/(b*x^2-a)^4+7/8/a*(-1/6*x/a/(b*x^2-a)^3-5/6/a*(-1/4/(b*x^2-a)^2/a*x-3/4/a*(-1/2/(b*x^2-a)/a*x+1/2/a/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x))))","A"
250,1,87,81,0.013000," ","int(1/x/(-b*x^2+a)^5,x)","\frac{1}{8 \left(b \,x^{2}-a \right)^{4} a}-\frac{1}{6 \left(b \,x^{2}-a \right)^{3} a^{2}}+\frac{1}{4 \left(b \,x^{2}-a \right)^{2} a^{3}}-\frac{1}{2 \left(b \,x^{2}-a \right) a^{4}}+\frac{\ln \left(x \right)}{a^{5}}-\frac{\ln \left(b \,x^{2}-a \right)}{2 a^{5}}"," ",0,"ln(x)/a^5-1/2/a^5*ln(b*x^2-a)-1/6/a^2/(b*x^2-a)^3+1/4/a^3/(b*x^2-a)^2+1/8/a/(b*x^2-a)^4-1/2/a^4/(b*x^2-a)","A"
251,1,78,98,0.016000," ","int(1/x^2/(-b*x^2+a)^5,x)","-\frac{\left(-\frac{315 \arctanh \left(\frac{b x}{\sqrt{a b}}\right)}{128 \sqrt{a b}}+\frac{\frac{187}{128} b^{3} x^{7}-\frac{643}{128} a \,b^{2} x^{5}+\frac{765}{128} a^{2} b \,x^{3}-\frac{325}{128} a^{3} x}{\left(b \,x^{2}-a \right)^{4}}\right) b}{a^{5}}-\frac{1}{a^{5} x}"," ",0,"-1/a^5/x-1/a^5*b*((187/128*b^3*x^7-643/128*a*b^2*x^5+765/128*a^2*b*x^3-325/128*a^3*x)/(b*x^2-a)^4-315/128/(a*b)^(1/2)*arctanh(1/(a*b)^(1/2)*b*x))","A"
252,1,102,96,0.016000," ","int(1/x^3/(-b*x^2+a)^5,x)","\frac{b}{8 \left(b \,x^{2}-a \right)^{4} a^{2}}-\frac{b}{3 \left(b \,x^{2}-a \right)^{3} a^{3}}+\frac{3 b}{4 \left(b \,x^{2}-a \right)^{2} a^{4}}-\frac{2 b}{\left(b \,x^{2}-a \right) a^{5}}+\frac{5 b \ln \left(x \right)}{a^{6}}-\frac{5 b \ln \left(b \,x^{2}-a \right)}{2 a^{6}}-\frac{1}{2 a^{5} x^{2}}"," ",0,"-1/2/a^5/x^2+5*b*ln(x)/a^6-1/3/a^3*b/(b*x^2-a)^3-5/2/a^6*b*ln(b*x^2-a)+3/4/a^4*b/(b*x^2-a)^2+1/8/a^2*b/(b*x^2-a)^4-2/a^5*b/(b*x^2-a)","A"
253,1,14,13,0.004000," ","int(1/x/(b*x^2+1),x)","\ln \left(x \right)-\frac{\ln \left(b \,x^{2}+1\right)}{2}"," ",0,"ln(x)-1/2*ln(b*x^2+1)","A"
254,1,16,16,0.004000," ","int(1/x/(b*x^2-1),x)","-\ln \left(x \right)+\frac{\ln \left(b \,x^{2}-1\right)}{2}"," ",0,"-ln(x)+1/2*ln(b*x^2-1)","A"
255,1,23,22,0.007000," ","int(1/x^3/(b*x^2+1),x)","-b \ln \left(x \right)+\frac{b \ln \left(b \,x^{2}+1\right)}{2}-\frac{1}{2 x^{2}}"," ",0,"-1/2/x^2-b*ln(x)+1/2*b*ln(b*x^2+1)","A"
256,1,23,23,0.005000," ","int(1/x^3/(b*x^2-1),x)","-b \ln \left(x \right)+\frac{b \ln \left(b \,x^{2}-1\right)}{2}+\frac{1}{2 x^{2}}"," ",0,"1/2/x^2-b*ln(x)+1/2*b*ln(b*x^2-1)","A"
257,1,20,24,0.006000," ","int(1/(a*x^2+a-1),x)","\frac{\arctan \left(\frac{a x}{\sqrt{\left(a -1\right) a}}\right)}{\sqrt{\left(a -1\right) a}}"," ",0,"1/((a-1)*a)^(1/2)*arctan(x*a/((a-1)*a)^(1/2))","A"
258,1,33,29,0.006000," ","int(1/(-c-d+(c-d)*x^2),x)","-\frac{\arctanh \left(\frac{\left(c -d \right) x}{\sqrt{\left(c +d \right) \left(c -d \right)}}\right)}{\sqrt{\left(c +d \right) \left(c -d \right)}}"," ",0,"-1/((c+d)*(c-d))^(1/2)*arctanh((c-d)*x/((c+d)*(c-d))^(1/2))","A"
259,1,25,24,0.011000," ","int(1/x/(b*x^2+1)^2,x)","\ln \left(x \right)-\frac{\ln \left(b \,x^{2}+1\right)}{2}+\frac{1}{2 b \,x^{2}+2}"," ",0,"1/2/(b*x^2+1)+ln(x)-1/2*ln(b*x^2+1)","A"
260,1,25,26,0.010000," ","int(1/x/(b*x^2-1)^2,x)","\ln \left(x \right)-\frac{\ln \left(b \,x^{2}-1\right)}{2}-\frac{1}{2 \left(b \,x^{2}-1\right)}"," ",0,"ln(x)-1/2/(b*x^2-1)-1/2*ln(b*x^2-1)","A"
261,1,34,26,0.007000," ","int(1/(a+(-a*c+b)*x^2),x)","\frac{\arctanh \left(\frac{\left(a c -b \right) x}{\sqrt{\left(a c -b \right) a}}\right)}{\sqrt{\left(a c -b \right) a}}"," ",0,"1/(a*(a*c-b))^(1/2)*arctanh((a*c-b)*x/(a*(a*c-b))^(1/2))","A"
262,1,34,26,0.003000," ","int(1/(a-(-a*c+b)*x^2),x)","\frac{\arctan \left(\frac{\left(a c -b \right) x}{\sqrt{\left(a c -b \right) a}}\right)}{\sqrt{\left(a c -b \right) a}}"," ",0,"1/((a*c-b)*a)^(1/2)*arctan((a*c-b)/((a*c-b)*a)^(1/2)*x)","A"
263,1,38,38,0.007000," ","int(1/(c*(a-d)-(b-c)*x^2),x)","\frac{\arctanh \left(\frac{\left(b -c \right) x}{\sqrt{\left(a -d \right) \left(b -c \right) c}}\right)}{\sqrt{\left(a -d \right) \left(b -c \right) c}}"," ",0,"1/(c*(a-d)*(b-c))^(1/2)*arctanh((b-c)*x/(c*(a-d)*(b-c))^(1/2))","A"
264,1,16,13,0.003000," ","int(x^(7/2)*(b*x^2+a),x)","\frac{2 \left(9 b \,x^{2}+13 a \right) x^{\frac{9}{2}}}{117}"," ",0,"2/117*x^(9/2)*(9*b*x^2+13*a)","A"
265,1,16,13,0.003000," ","int(x^(5/2)*(b*x^2+a),x)","\frac{2 \left(7 b \,x^{2}+11 a \right) x^{\frac{7}{2}}}{77}"," ",0,"2/77*x^(7/2)*(7*b*x^2+11*a)","A"
266,1,16,13,0.001000," ","int(x^(3/2)*(b*x^2+a),x)","\frac{2 \left(5 b \,x^{2}+9 a \right) x^{\frac{5}{2}}}{45}"," ",0,"2/45*x^(5/2)*(5*b*x^2+9*a)","A"
267,1,16,13,0.003000," ","int((b*x^2+a)*x^(1/2),x)","\frac{2 \left(3 b \,x^{2}+7 a \right) x^{\frac{3}{2}}}{21}"," ",0,"2/21*x^(3/2)*(3*b*x^2+7*a)","A"
268,1,15,13,0.004000," ","int((b*x^2+a)/x^(1/2),x)","\frac{2 \left(b \,x^{2}+5 a \right) \sqrt{x}}{5}"," ",0,"2/5*x^(1/2)*(b*x^2+5*a)","A"
269,1,16,13,0.004000," ","int((b*x^2+a)/x^(3/2),x)","-\frac{2 \left(-b \,x^{2}+3 a \right)}{3 \sqrt{x}}"," ",0,"-2/3*(-b*x^2+3*a)/x^(1/2)","A"
270,1,14,13,0.003000," ","int((b*x^2+a)/x^(5/2),x)","-\frac{2 \left(-3 b \,x^{2}+a \right)}{3 x^{\frac{3}{2}}}"," ",0,"-2/3*(-3*b*x^2+a)/x^(3/2)","A"
271,1,14,13,0.003000," ","int((b*x^2+a)/x^(7/2),x)","-\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"
272,1,27,24,0.004000," ","int(x^(7/2)*(b*x^2+a)^2,x)","\frac{2 \left(117 b^{2} x^{4}+306 a b \,x^{2}+221 a^{2}\right) x^{\frac{9}{2}}}{1989}"," ",0,"2/1989*x^(9/2)*(117*b^2*x^4+306*a*b*x^2+221*a^2)","A"
273,1,27,24,0.005000," ","int(x^(5/2)*(b*x^2+a)^2,x)","\frac{2 \left(77 b^{2} x^{4}+210 a b \,x^{2}+165 a^{2}\right) x^{\frac{7}{2}}}{1155}"," ",0,"2/1155*x^(7/2)*(77*b^2*x^4+210*a*b*x^2+165*a^2)","A"
274,1,27,24,0.006000," ","int(x^(3/2)*(b*x^2+a)^2,x)","\frac{2 \left(45 b^{2} x^{4}+130 a b \,x^{2}+117 a^{2}\right) x^{\frac{5}{2}}}{585}"," ",0,"2/585*x^(5/2)*(45*b^2*x^4+130*a*b*x^2+117*a^2)","A"
275,1,27,24,0.005000," ","int((b*x^2+a)^2*x^(1/2),x)","\frac{2 \left(21 b^{2} x^{4}+66 a b \,x^{2}+77 a^{2}\right) x^{\frac{3}{2}}}{231}"," ",0,"2/231*x^(3/2)*(21*b^2*x^4+66*a*b*x^2+77*a^2)","A"
276,1,27,24,0.005000," ","int((b*x^2+a)^2/x^(1/2),x)","\frac{2 \left(5 b^{2} x^{4}+18 a b \,x^{2}+45 a^{2}\right) \sqrt{x}}{45}"," ",0,"2/45*x^(1/2)*(5*b^2*x^4+18*a*b*x^2+45*a^2)","A"
277,1,27,24,0.005000," ","int((b*x^2+a)^2/x^(3/2),x)","-\frac{2 \left(-3 b^{2} x^{4}-14 a b \,x^{2}+21 a^{2}\right)}{21 \sqrt{x}}"," ",0,"-2/21*(-3*b^2*x^4-14*a*b*x^2+21*a^2)/x^(1/2)","A"
278,1,27,24,0.005000," ","int((b*x^2+a)^2/x^(5/2),x)","-\frac{2 \left(-3 b^{2} x^{4}-30 a b \,x^{2}+5 a^{2}\right)}{15 x^{\frac{3}{2}}}"," ",0,"-2/15*(-3*b^2*x^4-30*a*b*x^2+5*a^2)/x^(3/2)","A"
279,1,27,24,0.004000," ","int((b*x^2+a)^2/x^(7/2),x)","-\frac{2 \left(-5 b^{2} x^{4}+30 a b \,x^{2}+3 a^{2}\right)}{15 x^{\frac{5}{2}}}"," ",0,"-2/15*(-5*b^2*x^4+30*a*b*x^2+3*a^2)/x^(5/2)","A"
280,1,38,35,0.006000," ","int(x^(7/2)*(b*x^2+a)^3,x)","\frac{2 \left(663 b^{3} x^{6}+2457 a \,b^{2} x^{4}+3213 a^{2} b \,x^{2}+1547 a^{3}\right) x^{\frac{9}{2}}}{13923}"," ",0,"2/13923*x^(9/2)*(663*b^3*x^6+2457*a*b^2*x^4+3213*a^2*b*x^2+1547*a^3)","A"
281,1,38,35,0.004000," ","int(x^(5/2)*(b*x^2+a)^3,x)","\frac{2 \left(385 b^{3} x^{6}+1463 a \,b^{2} x^{4}+1995 a^{2} b \,x^{2}+1045 a^{3}\right) x^{\frac{7}{2}}}{7315}"," ",0,"2/7315*x^(7/2)*(385*b^3*x^6+1463*a*b^2*x^4+1995*a^2*b*x^2+1045*a^3)","A"
282,1,38,35,0.005000," ","int(x^(3/2)*(b*x^2+a)^3,x)","\frac{2 \left(195 b^{3} x^{6}+765 a \,b^{2} x^{4}+1105 a^{2} b \,x^{2}+663 a^{3}\right) x^{\frac{5}{2}}}{3315}"," ",0,"2/3315*x^(5/2)*(195*b^3*x^6+765*a*b^2*x^4+1105*a^2*b*x^2+663*a^3)","A"
283,1,38,35,0.006000," ","int((b*x^2+a)^3*x^(1/2),x)","\frac{2 \left(77 b^{3} x^{6}+315 a \,b^{2} x^{4}+495 a^{2} b \,x^{2}+385 a^{3}\right) x^{\frac{3}{2}}}{1155}"," ",0,"2/1155*x^(3/2)*(77*b^3*x^6+315*a*b^2*x^4+495*a^2*b*x^2+385*a^3)","A"
284,1,38,35,0.007000," ","int((b*x^2+a)^3/x^(1/2),x)","\frac{2 \left(15 b^{3} x^{6}+65 a \,b^{2} x^{4}+117 a^{2} b \,x^{2}+195 a^{3}\right) \sqrt{x}}{195}"," ",0,"2/195*x^(1/2)*(15*b^3*x^6+65*a*b^2*x^4+117*a^2*b*x^2+195*a^3)","A"
285,1,38,35,0.006000," ","int((b*x^2+a)^3/x^(3/2),x)","-\frac{2 \left(-7 b^{3} x^{6}-33 a \,b^{2} x^{4}-77 a^{2} b \,x^{2}+77 a^{3}\right)}{77 \sqrt{x}}"," ",0,"-2/77*(-7*b^3*x^6-33*a*b^2*x^4-77*a^2*b*x^2+77*a^3)/x^(1/2)","A"
286,1,38,35,0.006000," ","int((b*x^2+a)^3/x^(5/2),x)","-\frac{2 \left(-5 b^{3} x^{6}-27 a \,b^{2} x^{4}-135 a^{2} b \,x^{2}+15 a^{3}\right)}{45 x^{\frac{3}{2}}}"," ",0,"-2/45*(-5*b^3*x^6-27*a*b^2*x^4-135*a^2*b*x^2+15*a^3)/x^(3/2)","A"
287,1,38,35,0.004000," ","int((b*x^2+a)^3/x^(7/2),x)","-\frac{2 \left(-5 b^{3} x^{6}-35 a \,b^{2} x^{4}+105 a^{2} b \,x^{2}+7 a^{3}\right)}{35 x^{\frac{5}{2}}}"," ",0,"-2/35*(-5*b^3*x^6-35*a*b^2*x^4+105*a^2*b*x^2+7*a^3)/x^(5/2)","A"
288,1,152,142,0.011000," ","int(x^(7/2)/(b*x^2+a),x)","\frac{2 x^{\frac{5}{2}}}{5 b}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, a \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{2 b^{2}}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, a \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{2 b^{2}}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, a \ln \left(\frac{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{4 b^{2}}-\frac{2 a \sqrt{x}}{b^{2}}"," ",0,"2/5/b*x^(5/2)-2*a/b^2*x^(1/2)+1/4*a/b^2*(a/b)^(1/4)*2^(1/2)*ln((x+(a/b)^(1/4)*x^(1/2)*2^(1/2)+(a/b)^(1/2))/(x-(a/b)^(1/4)*x^(1/2)*2^(1/2)+(a/b)^(1/2)))+1/2*a/b^2*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+1/2*a/b^2*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
289,1,143,133,0.005000," ","int(x^(5/2)/(b*x^2+a),x)","\frac{2 x^{\frac{3}{2}}}{3 b}-\frac{\sqrt{2}\, a \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{4}} b^{2}}-\frac{\sqrt{2}\, a \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{4}} b^{2}}-\frac{\sqrt{2}\, a \ln \left(\frac{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{4 \left(\frac{a}{b}\right)^{\frac{1}{4}} b^{2}}"," ",0,"2/3/b*x^(3/2)-1/4*a/b^2/(a/b)^(1/4)*2^(1/2)*ln((x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))-1/2*a/b^2/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)-1/2*a/b^2/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
290,1,140,133,0.007000," ","int(x^(3/2)/(b*x^2+a),x)","-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{2 b}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{2 b}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{4 b}+\frac{2 \sqrt{x}}{b}"," ",0,"2*x^(1/2)/b-1/4/b*(a/b)^(1/4)*2^(1/2)*ln((x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))-1/2/b*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)-1/2/b*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
291,1,132,125,0.007000," ","int(x^(1/2)/(b*x^2+a),x)","\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{4}} b}+\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{4}} b}+\frac{\sqrt{2}\, \ln \left(\frac{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{4 \left(\frac{a}{b}\right)^{\frac{1}{4}} b}"," ",0,"1/4/b/(a/b)^(1/4)*2^(1/2)*ln((x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+1/2/b/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+1/2/b/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
292,1,132,125,0.004000," ","int(1/(b*x^2+a)/x^(1/2),x)","\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{2 a}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{2 a}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{4 a}"," ",0,"1/4*(a/b)^(1/4)/a*2^(1/2)*ln((x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+1/2*(a/b)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+1/2*(a/b)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
293,1,140,133,0.009000," ","int(1/x^(3/2)/(b*x^2+a),x)","-\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{4}} a}-\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{4}} a}-\frac{\sqrt{2}\, \ln \left(\frac{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{4 \left(\frac{a}{b}\right)^{\frac{1}{4}} a}-\frac{2}{a \sqrt{x}}"," ",0,"-2/a/x^(1/2)-1/4/a/(a/b)^(1/4)*2^(1/2)*ln((x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))-1/2/a/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)-1/2/a/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
294,1,143,133,0.009000," ","int(1/x^(5/2)/(b*x^2+a),x)","-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{2 a^{2}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{2 a^{2}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, b \ln \left(\frac{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{4 a^{2}}-\frac{2}{3 a \,x^{\frac{3}{2}}}"," ",0,"-1/4/a^2*b*(a/b)^(1/4)*2^(1/2)*ln((x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))-1/2/a^2*b*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)-1/2/a^2*b*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)-2/3/a/x^(3/2)","A"
295,1,152,142,0.011000," ","int(1/x^(7/2)/(b*x^2+a),x)","\frac{\sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{2}}+\frac{\sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{2}}+\frac{\sqrt{2}\, b \ln \left(\frac{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{4 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{2}}+\frac{2 b}{a^{2} \sqrt{x}}-\frac{2}{5 a \,x^{\frac{5}{2}}}"," ",0,"-2/5/a/x^(5/2)+2*b/a^2/x^(1/2)+1/4*b/a^2/(a/b)^(1/4)*2^(1/2)*ln((x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+1/2*b/a^2/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+1/2*b/a^2/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
296,1,158,150,0.013000," ","int(x^(7/2)/(b*x^2+a)^2,x)","\frac{a \sqrt{x}}{2 \left(b \,x^{2}+a \right) b^{2}}-\frac{5 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{8 b^{2}}-\frac{5 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{8 b^{2}}-\frac{5 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{16 b^{2}}+\frac{2 \sqrt{x}}{b^{2}}"," ",0,"2*x^(1/2)/b^2+1/2*a/b^2*x^(1/2)/(b*x^2+a)-5/16/b^2*(a/b)^(1/4)*2^(1/2)*ln((x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))-5/8/b^2*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)-5/8/b^2*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
297,1,149,142,0.012000," ","int(x^(5/2)/(b*x^2+a)^2,x)","-\frac{x^{\frac{3}{2}}}{2 \left(b \,x^{2}+a \right) b}+\frac{3 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{a}{b}\right)^{\frac{1}{4}} b^{2}}+\frac{3 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{a}{b}\right)^{\frac{1}{4}} b^{2}}+\frac{3 \sqrt{2}\, \ln \left(\frac{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{16 \left(\frac{a}{b}\right)^{\frac{1}{4}} b^{2}}"," ",0,"-1/2*x^(3/2)/b/(b*x^2+a)+3/16/b^2/(a/b)^(1/4)*2^(1/2)*ln((x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+3/8/b^2/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+3/8/b^2/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
298,1,158,142,0.010000," ","int(x^(3/2)/(b*x^2+a)^2,x)","-\frac{\sqrt{x}}{2 \left(b \,x^{2}+a \right) b}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{8 a b}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{8 a b}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{16 a b}"," ",0,"-1/2*x^(1/2)/b/(b*x^2+a)+1/16/b*(a/b)^(1/4)/a*2^(1/2)*ln((x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+1/8/b*(a/b)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+1/8/b*(a/b)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
299,1,158,142,0.008000," ","int(x^(1/2)/(b*x^2+a)^2,x)","\frac{x^{\frac{3}{2}}}{2 \left(b \,x^{2}+a \right) a}+\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{a}{b}\right)^{\frac{1}{4}} a b}+\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{a}{b}\right)^{\frac{1}{4}} a b}+\frac{\sqrt{2}\, \ln \left(\frac{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{16 \left(\frac{a}{b}\right)^{\frac{1}{4}} a b}"," ",0,"1/2*x^(3/2)/a/(b*x^2+a)+1/16/a/b/(a/b)^(1/4)*2^(1/2)*ln((x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+1/8/a/b/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+1/8/a/b/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
300,1,149,142,0.009000," ","int(1/(b*x^2+a)^2/x^(1/2),x)","\frac{\sqrt{x}}{2 \left(b \,x^{2}+a \right) a}+\frac{3 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{8 a^{2}}+\frac{3 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{8 a^{2}}+\frac{3 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{16 a^{2}}"," ",0,"1/2*x^(1/2)/a/(b*x^2+a)+3/16/a^2*(a/b)^(1/4)*2^(1/2)*ln((x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+3/8/a^2*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+3/8/a^2*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
301,1,158,150,0.016000," ","int(1/x^(3/2)/(b*x^2+a)^2,x)","-\frac{b \,x^{\frac{3}{2}}}{2 \left(b \,x^{2}+a \right) a^{2}}-\frac{5 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{2}}-\frac{5 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{2}}-\frac{5 \sqrt{2}\, \ln \left(\frac{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{16 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{2}}-\frac{2}{a^{2} \sqrt{x}}"," ",0,"-2/a^2/x^(1/2)-1/2/a^2*b*x^(3/2)/(b*x^2+a)-5/16/a^2/(a/b)^(1/4)*2^(1/2)*ln((x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))-5/8/a^2/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)-5/8/a^2/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
302,1,161,150,0.015000," ","int(1/x^(5/2)/(b*x^2+a)^2,x)","-\frac{b \sqrt{x}}{2 \left(b \,x^{2}+a \right) a^{2}}-\frac{7 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{8 a^{3}}-\frac{7 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{8 a^{3}}-\frac{7 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, b \ln \left(\frac{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{16 a^{3}}-\frac{2}{3 a^{2} x^{\frac{3}{2}}}"," ",0,"-2/3/a^2/x^(3/2)-1/2/a^2*b*x^(1/2)/(b*x^2+a)-7/16/a^3*b*(a/b)^(1/4)*2^(1/2)*ln((x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))-7/8/a^3*b*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)-7/8/a^3*b*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
303,1,172,159,0.017000," ","int(1/x^(7/2)/(b*x^2+a)^2,x)","\frac{b^{2} x^{\frac{3}{2}}}{2 \left(b \,x^{2}+a \right) a^{3}}+\frac{9 \sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{3}}+\frac{9 \sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{3}}+\frac{9 \sqrt{2}\, b \ln \left(\frac{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{16 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{3}}+\frac{4 b}{a^{3} \sqrt{x}}-\frac{2}{5 a^{2} x^{\frac{5}{2}}}"," ",0,"-2/5/a^2/x^(5/2)+4/a^3*b/x^(1/2)+1/2*b^2/a^3*x^(3/2)/(b*x^2+a)+9/16*b/a^3/(a/b)^(1/4)*2^(1/2)*ln((x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+9/8*b/a^3/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+9/8*b/a^3/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
304,1,170,159,0.014000," ","int(x^(7/2)/(b*x^2+a)^3,x)","\frac{5 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{64 a \,b^{2}}+\frac{5 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{64 a \,b^{2}}+\frac{5 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{128 a \,b^{2}}+\frac{-\frac{9 x^{\frac{5}{2}}}{16 b}-\frac{5 a \sqrt{x}}{16 b^{2}}}{\left(b \,x^{2}+a \right)^{2}}"," ",0,"2*(-9/32/b*x^(5/2)-5/32*a/b^2*x^(1/2))/(b*x^2+a)^2+5/128/b^2*(a/b)^(1/4)/a*2^(1/2)*ln((x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+5/64/b^2*(a/b)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+5/64/b^2*(a/b)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
305,1,169,162,0.016000," ","int(x^(5/2)/(b*x^2+a)^3,x)","\frac{3 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{a}{b}\right)^{\frac{1}{4}} a \,b^{2}}+\frac{3 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{a}{b}\right)^{\frac{1}{4}} a \,b^{2}}+\frac{3 \sqrt{2}\, \ln \left(\frac{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{128 \left(\frac{a}{b}\right)^{\frac{1}{4}} a \,b^{2}}+\frac{\frac{3 x^{\frac{7}{2}}}{16 a}-\frac{x^{\frac{3}{2}}}{16 b}}{\left(b \,x^{2}+a \right)^{2}}"," ",0,"2*(3/32/a*x^(7/2)-1/32/b*x^(3/2))/(b*x^2+a)^2+3/128/b^2/a/(a/b)^(1/4)*2^(1/2)*ln((x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+3/64/b^2/a/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+3/64/b^2/a/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
306,1,169,162,0.016000," ","int(x^(3/2)/(b*x^2+a)^3,x)","\frac{3 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{64 a^{2} b}+\frac{3 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{64 a^{2} b}+\frac{3 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{128 a^{2} b}+\frac{\frac{x^{\frac{5}{2}}}{16 a}-\frac{3 \sqrt{x}}{16 b}}{\left(b \,x^{2}+a \right)^{2}}"," ",0,"2*(1/32/a*x^(5/2)-3/32/b*x^(1/2))/(b*x^2+a)^2+3/128/b/a^2*(a/b)^(1/4)*2^(1/2)*ln((x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+3/64/b/a^2*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+3/64/b/a^2*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
307,1,175,159,0.010000," ","int(x^(1/2)/(b*x^2+a)^3,x)","\frac{x^{\frac{3}{2}}}{4 \left(b \,x^{2}+a \right)^{2} a}+\frac{5 x^{\frac{3}{2}}}{16 \left(b \,x^{2}+a \right) a^{2}}+\frac{5 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{2} b}+\frac{5 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{2} b}+\frac{5 \sqrt{2}\, \ln \left(\frac{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{128 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{2} b}"," ",0,"1/4*x^(3/2)/a/(b*x^2+a)^2+5/16*x^(3/2)/a^2/(b*x^2+a)+5/128/a^2/b/(a/b)^(1/4)*2^(1/2)*ln((x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+5/64/a^2/b/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+5/64/a^2/b/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
308,1,166,159,0.010000," ","int(1/(b*x^2+a)^3/x^(1/2),x)","\frac{\sqrt{x}}{4 \left(b \,x^{2}+a \right)^{2} a}+\frac{7 \sqrt{x}}{16 \left(b \,x^{2}+a \right) a^{2}}+\frac{21 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{64 a^{3}}+\frac{21 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{64 a^{3}}+\frac{21 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{128 a^{3}}"," ",0,"1/4*x^(1/2)/a/(b*x^2+a)^2+7/16*x^(1/2)/a^2/(b*x^2+a)+21/128/a^3*(a/b)^(1/4)*2^(1/2)*ln((x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+21/64/a^3*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+21/64/a^3*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
309,1,178,167,0.020000," ","int(1/x^(3/2)/(b*x^2+a)^3,x)","-\frac{13 b^{2} x^{\frac{7}{2}}}{16 \left(b \,x^{2}+a \right)^{2} a^{3}}-\frac{17 b \,x^{\frac{3}{2}}}{16 \left(b \,x^{2}+a \right)^{2} a^{2}}-\frac{45 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{3}}-\frac{45 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{3}}-\frac{45 \sqrt{2}\, \ln \left(\frac{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{128 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{3}}-\frac{2}{a^{3} \sqrt{x}}"," ",0,"-2/a^3/x^(1/2)-13/16/a^3*b^2/(b*x^2+a)^2*x^(7/2)-17/16/a^2*b/(b*x^2+a)^2*x^(3/2)-45/128/a^3/(a/b)^(1/4)*2^(1/2)*ln((x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))-45/64/a^3/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)-45/64/a^3/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
310,1,181,167,0.020000," ","int(1/x^(5/2)/(b*x^2+a)^3,x)","-\frac{15 b^{2} x^{\frac{5}{2}}}{16 \left(b \,x^{2}+a \right)^{2} a^{3}}-\frac{19 b \sqrt{x}}{16 \left(b \,x^{2}+a \right)^{2} a^{2}}-\frac{77 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{64 a^{4}}-\frac{77 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{64 a^{4}}-\frac{77 \left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, b \ln \left(\frac{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{128 a^{4}}-\frac{2}{3 a^{3} x^{\frac{3}{2}}}"," ",0,"-2/3/a^3/x^(3/2)-15/16/a^3*b^2/(b*x^2+a)^2*x^(5/2)-19/16/a^2*b/(b*x^2+a)^2*x^(1/2)-77/128/a^4*b*(a/b)^(1/4)*2^(1/2)*ln((x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))-77/64/a^4*b*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)-77/64/a^4*b*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
311,1,192,176,0.022000," ","int(1/x^(7/2)/(b*x^2+a)^3,x)","\frac{21 b^{3} x^{\frac{7}{2}}}{16 \left(b \,x^{2}+a \right)^{2} a^{4}}+\frac{25 b^{2} x^{\frac{3}{2}}}{16 \left(b \,x^{2}+a \right)^{2} a^{3}}+\frac{117 \sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{4}}+\frac{117 \sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{4}}+\frac{117 \sqrt{2}\, b \ln \left(\frac{x -\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}{x +\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{a}{b}}}\right)}{128 \left(\frac{a}{b}\right)^{\frac{1}{4}} a^{4}}+\frac{6 b}{a^{4} \sqrt{x}}-\frac{2}{5 a^{3} x^{\frac{5}{2}}}"," ",0,"-2/5/a^3/x^(5/2)+6*b/a^4/x^(1/2)+21/16/a^4*b^3/(b*x^2+a)^2*x^(7/2)+25/16/a^3*b^2/(b*x^2+a)^2*x^(3/2)+117/128/a^4*b/(a/b)^(1/4)*2^(1/2)*ln((x-(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2))/(x+(a/b)^(1/4)*2^(1/2)*x^(1/2)+(a/b)^(1/2)))+117/64/a^4*b/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)+1)+117/64/a^4*b/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^(1/2)-1)","A"
312,1,66,38,0.007000," ","int(x^(1/2)/(-b*x^2+a),x)","-\frac{\arctan \left(\frac{\sqrt{x}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{\left(\frac{a}{b}\right)^{\frac{1}{4}} b}+\frac{\ln \left(\frac{\sqrt{x}+\left(\frac{a}{b}\right)^{\frac{1}{4}}}{\sqrt{x}-\left(\frac{a}{b}\right)^{\frac{1}{4}}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{4}} b}"," ",0,"-1/b/(a/b)^(1/4)*arctan(x^(1/2)/(a/b)^(1/4))+1/2/b/(a/b)^(1/4)*ln((x^(1/2)+(a/b)^(1/4))/(x^(1/2)-(a/b)^(1/4)))","A"
313,1,72,74,0.008000," ","int(x^(7/2)/(x^2+1),x)","\frac{2 x^{\frac{5}{2}}}{5}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{2}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{2}+\frac{\sqrt{2}\, \ln \left(\frac{x +\sqrt{2}\, \sqrt{x}+1}{x -\sqrt{2}\, \sqrt{x}+1}\right)}{4}-2 \sqrt{x}"," ",0,"2/5*x^(5/2)-2*x^(1/2)+1/4*2^(1/2)*ln((1+x+2^(1/2)*x^(1/2))/(1+x-2^(1/2)*x^(1/2)))+1/2*arctan(-1+2^(1/2)*x^(1/2))*2^(1/2)+1/2*arctan(1+2^(1/2)*x^(1/2))*2^(1/2)","A"
314,1,67,69,0.007000," ","int(x^(5/2)/(x^2+1),x)","\frac{2 x^{\frac{3}{2}}}{3}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{2}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{2}-\frac{\sqrt{2}\, \ln \left(\frac{x -\sqrt{2}\, \sqrt{x}+1}{x +\sqrt{2}\, \sqrt{x}+1}\right)}{4}"," ",0,"2/3*x^(3/2)-1/4*2^(1/2)*ln((x-2^(1/2)*x^(1/2)+1)/(x+2^(1/2)*x^(1/2)+1))-1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)-1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)","A"
315,1,67,69,0.006000," ","int(x^(3/2)/(x^2+1),x)","-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{2}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{2}-\frac{\sqrt{2}\, \ln \left(\frac{x +\sqrt{2}\, \sqrt{x}+1}{x -\sqrt{2}\, \sqrt{x}+1}\right)}{4}+2 \sqrt{x}"," ",0,"2*x^(1/2)-1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)-1/4*2^(1/2)*ln((x+2^(1/2)*x^(1/2)+1)/(x-2^(1/2)*x^(1/2)+1))-1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)","A"
316,1,62,64,0.006000," ","int(x^(1/2)/(x^2+1),x)","\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{2}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{2}+\frac{\sqrt{2}\, \ln \left(\frac{x -\sqrt{2}\, \sqrt{x}+1}{x +\sqrt{2}\, \sqrt{x}+1}\right)}{4}"," ",0,"1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)+1/4*2^(1/2)*ln((x-2^(1/2)*x^(1/2)+1)/(x+2^(1/2)*x^(1/2)+1))+1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)","A"
317,1,62,64,0.005000," ","int(1/(x^2+1)/x^(1/2),x)","\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{2}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{2}+\frac{\sqrt{2}\, \ln \left(\frac{x +\sqrt{2}\, \sqrt{x}+1}{x -\sqrt{2}\, \sqrt{x}+1}\right)}{4}"," ",0,"1/4*2^(1/2)*ln((x+2^(1/2)*x^(1/2)+1)/(x-2^(1/2)*x^(1/2)+1))+1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)+1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)","A"
318,1,67,69,0.007000," ","int(1/x^(3/2)/(x^2+1),x)","-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{2}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{2}-\frac{\sqrt{2}\, \ln \left(\frac{x -\sqrt{2}\, \sqrt{x}+1}{x +\sqrt{2}\, \sqrt{x}+1}\right)}{4}-\frac{2}{\sqrt{x}}"," ",0,"-1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)-1/4*2^(1/2)*ln((x-2^(1/2)*x^(1/2)+1)/(x+2^(1/2)*x^(1/2)+1))-1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)-2/x^(1/2)","A"
319,1,67,69,0.008000," ","int(1/x^(5/2)/(x^2+1),x)","-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{2}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{2}-\frac{\sqrt{2}\, \ln \left(\frac{x +\sqrt{2}\, \sqrt{x}+1}{x -\sqrt{2}\, \sqrt{x}+1}\right)}{4}-\frac{2}{3 x^{\frac{3}{2}}}"," ",0,"-1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)-1/4*2^(1/2)*ln((x+2^(1/2)*x^(1/2)+1)/(x-2^(1/2)*x^(1/2)+1))-1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)-2/3/x^(3/2)","A"
320,1,72,74,0.010000," ","int(1/x^(7/2)/(x^2+1),x)","\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{2}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{2}+\frac{\sqrt{2}\, \ln \left(\frac{x -\sqrt{2}\, \sqrt{x}+1}{x +\sqrt{2}\, \sqrt{x}+1}\right)}{4}+\frac{2}{\sqrt{x}}-\frac{2}{5 x^{\frac{5}{2}}}"," ",0,"1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)+1/4*2^(1/2)*ln((x-2^(1/2)*x^(1/2)+1)/(x+2^(1/2)*x^(1/2)+1))+1/2*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)-2/5/x^(5/2)+2/x^(1/2)","A"
321,1,79,81,0.011000," ","int(x^(7/2)/(x^2+1)^2,x)","-\frac{5 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{8}-\frac{5 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{8}-\frac{5 \sqrt{2}\, \ln \left(\frac{x +\sqrt{2}\, \sqrt{x}+1}{x -\sqrt{2}\, \sqrt{x}+1}\right)}{16}+2 \sqrt{x}+\frac{\sqrt{x}}{2 x^{2}+2}"," ",0,"2*x^(1/2)+1/2*x^(1/2)/(x^2+1)-5/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)-5/16*2^(1/2)*ln((x+2^(1/2)*x^(1/2)+1)/(x-2^(1/2)*x^(1/2)+1))-5/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)","A"
322,1,74,76,0.011000," ","int(x^(5/2)/(x^2+1)^2,x)","-\frac{x^{\frac{3}{2}}}{2 \left(x^{2}+1\right)}+\frac{3 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{8}+\frac{3 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{8}+\frac{3 \sqrt{2}\, \ln \left(\frac{x -\sqrt{2}\, \sqrt{x}+1}{x +\sqrt{2}\, \sqrt{x}+1}\right)}{16}"," ",0,"-1/2*x^(3/2)/(x^2+1)+3/16*2^(1/2)*ln((x-2^(1/2)*x^(1/2)+1)/(x+2^(1/2)*x^(1/2)+1))+3/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)+3/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)","A"
323,1,74,76,0.010000," ","int(x^(3/2)/(x^2+1)^2,x)","\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{8}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{8}+\frac{\sqrt{2}\, \ln \left(\frac{x +\sqrt{2}\, \sqrt{x}+1}{x -\sqrt{2}\, \sqrt{x}+1}\right)}{16}-\frac{\sqrt{x}}{2 \left(x^{2}+1\right)}"," ",0,"-1/2/(x^2+1)*x^(1/2)+1/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)+1/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)+1/16*2^(1/2)*ln((x+2^(1/2)*x^(1/2)+1)/(x-2^(1/2)*x^(1/2)+1))","A"
324,1,74,76,0.006000," ","int(x^(1/2)/(x^2+1)^2,x)","\frac{x^{\frac{3}{2}}}{2 x^{2}+2}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{8}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{8}+\frac{\sqrt{2}\, \ln \left(\frac{x -\sqrt{2}\, \sqrt{x}+1}{x +\sqrt{2}\, \sqrt{x}+1}\right)}{16}"," ",0,"1/2/(x^2+1)*x^(3/2)+1/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)+1/16*2^(1/2)*ln((x-2^(1/2)*x^(1/2)+1)/(x+2^(1/2)*x^(1/2)+1))+1/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)","A"
325,1,74,76,0.006000," ","int(1/(x^2+1)^2/x^(1/2),x)","\frac{3 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{8}+\frac{3 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{8}+\frac{3 \sqrt{2}\, \ln \left(\frac{x +\sqrt{2}\, \sqrt{x}+1}{x -\sqrt{2}\, \sqrt{x}+1}\right)}{16}+\frac{\sqrt{x}}{2 x^{2}+2}"," ",0,"1/2/(x^2+1)*x^(1/2)+3/16*2^(1/2)*ln((x+2^(1/2)*x^(1/2)+1)/(x-2^(1/2)*x^(1/2)+1))+3/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)+3/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)","A"
326,1,79,81,0.014000," ","int(1/x^(3/2)/(x^2+1)^2,x)","-\frac{x^{\frac{3}{2}}}{2 \left(x^{2}+1\right)}-\frac{5 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{8}-\frac{5 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{8}-\frac{5 \sqrt{2}\, \ln \left(\frac{x -\sqrt{2}\, \sqrt{x}+1}{x +\sqrt{2}\, \sqrt{x}+1}\right)}{16}-\frac{2}{\sqrt{x}}"," ",0,"-1/2/(x^2+1)*x^(3/2)-5/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)-5/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)-5/16*2^(1/2)*ln((x-2^(1/2)*x^(1/2)+1)/(x+2^(1/2)*x^(1/2)+1))-2/x^(1/2)","A"
327,1,79,81,0.012000," ","int(1/x^(5/2)/(x^2+1)^2,x)","-\frac{7 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{8}-\frac{7 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{8}-\frac{7 \sqrt{2}\, \ln \left(\frac{x +\sqrt{2}\, \sqrt{x}+1}{x -\sqrt{2}\, \sqrt{x}+1}\right)}{16}-\frac{\sqrt{x}}{2 \left(x^{2}+1\right)}-\frac{2}{3 x^{\frac{3}{2}}}"," ",0,"-1/2/(x^2+1)*x^(1/2)-7/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)-7/16*2^(1/2)*ln((x+2^(1/2)*x^(1/2)+1)/(x-2^(1/2)*x^(1/2)+1))-7/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)-2/3/x^(3/2)","A"
328,1,84,86,0.016000," ","int(1/x^(7/2)/(x^2+1)^2,x)","\frac{x^{\frac{3}{2}}}{2 x^{2}+2}+\frac{9 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{8}+\frac{9 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{8}+\frac{9 \sqrt{2}\, \ln \left(\frac{x -\sqrt{2}\, \sqrt{x}+1}{x +\sqrt{2}\, \sqrt{x}+1}\right)}{16}+\frac{4}{\sqrt{x}}-\frac{2}{5 x^{\frac{5}{2}}}"," ",0,"1/2/(x^2+1)*x^(3/2)+9/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)+9/16*2^(1/2)*ln((x-2^(1/2)*x^(1/2)+1)/(x+2^(1/2)*x^(1/2)+1))+9/8*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)-2/5/x^(5/2)+4/x^(1/2)","A"
329,1,82,88,0.012000," ","int(x^(7/2)/(x^2+1)^3,x)","\frac{5 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{64}+\frac{5 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{64}+\frac{5 \sqrt{2}\, \ln \left(\frac{x +\sqrt{2}\, \sqrt{x}+1}{x -\sqrt{2}\, \sqrt{x}+1}\right)}{128}+\frac{-\frac{9 x^{\frac{5}{2}}}{16}-\frac{5 \sqrt{x}}{16}}{\left(x^{2}+1\right)^{2}}"," ",0,"2*(-9/32*x^(5/2)-5/32*x^(1/2))/(x^2+1)^2+5/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)+5/128*2^(1/2)*ln((x+2^(1/2)*x^(1/2)+1)/(x-2^(1/2)*x^(1/2)+1))+5/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)","A"
330,1,82,88,0.010000," ","int(x^(5/2)/(x^2+1)^3,x)","\frac{3 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{64}+\frac{3 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{64}+\frac{3 \sqrt{2}\, \ln \left(\frac{x -\sqrt{2}\, \sqrt{x}+1}{x +\sqrt{2}\, \sqrt{x}+1}\right)}{128}+\frac{\frac{3 x^{\frac{7}{2}}}{16}-\frac{x^{\frac{3}{2}}}{16}}{\left(x^{2}+1\right)^{2}}"," ",0,"2*(3/32*x^(7/2)-1/32*x^(3/2))/(x^2+1)^2+3/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)+3/128*2^(1/2)*ln((x-2^(1/2)*x^(1/2)+1)/(x+2^(1/2)*x^(1/2)+1))+3/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)","A"
331,1,82,88,0.012000," ","int(x^(3/2)/(x^2+1)^3,x)","\frac{3 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{64}+\frac{3 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{64}+\frac{3 \sqrt{2}\, \ln \left(\frac{x +\sqrt{2}\, \sqrt{x}+1}{x -\sqrt{2}\, \sqrt{x}+1}\right)}{128}+\frac{\frac{x^{\frac{5}{2}}}{16}-\frac{3 \sqrt{x}}{16}}{\left(x^{2}+1\right)^{2}}"," ",0,"2*(1/32*x^(5/2)-3/32*x^(1/2))/(x^2+1)^2+3/128*2^(1/2)*ln((x+2^(1/2)*x^(1/2)+1)/(x-2^(1/2)*x^(1/2)+1))+3/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)+3/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)","A"
332,1,86,88,0.008000," ","int(x^(1/2)/(x^2+1)^3,x)","\frac{x^{\frac{3}{2}}}{4 \left(x^{2}+1\right)^{2}}+\frac{5 x^{\frac{3}{2}}}{16 \left(x^{2}+1\right)}+\frac{5 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{64}+\frac{5 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{64}+\frac{5 \sqrt{2}\, \ln \left(\frac{x -\sqrt{2}\, \sqrt{x}+1}{x +\sqrt{2}\, \sqrt{x}+1}\right)}{128}"," ",0,"1/4*x^(3/2)/(x^2+1)^2+5/16/(x^2+1)*x^(3/2)+5/128*2^(1/2)*ln((x-2^(1/2)*x^(1/2)+1)/(x+2^(1/2)*x^(1/2)+1))+5/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)+5/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)","A"
333,1,86,88,0.007000," ","int(1/(x^2+1)^3/x^(1/2),x)","\frac{21 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{64}+\frac{21 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{64}+\frac{21 \sqrt{2}\, \ln \left(\frac{x +\sqrt{2}\, \sqrt{x}+1}{x -\sqrt{2}\, \sqrt{x}+1}\right)}{128}+\frac{\sqrt{x}}{4 \left(x^{2}+1\right)^{2}}+\frac{7 \sqrt{x}}{16 \left(x^{2}+1\right)}"," ",0,"1/4*x^(1/2)/(x^2+1)^2+7/16/(x^2+1)*x^(1/2)+21/128*2^(1/2)*ln((x+2^(1/2)*x^(1/2)+1)/(x-2^(1/2)*x^(1/2)+1))+21/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)+21/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)","A"
334,1,87,93,0.013000," ","int(1/x^(3/2)/(x^2+1)^3,x)","-\frac{45 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{64}-\frac{45 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{64}-\frac{45 \sqrt{2}\, \ln \left(\frac{x -\sqrt{2}\, \sqrt{x}+1}{x +\sqrt{2}\, \sqrt{x}+1}\right)}{128}-\frac{2}{\sqrt{x}}-\frac{2 \left(\frac{13 x^{\frac{7}{2}}}{32}+\frac{17 x^{\frac{3}{2}}}{32}\right)}{\left(x^{2}+1\right)^{2}}"," ",0,"-2*(13/32*x^(7/2)+17/32*x^(3/2))/(x^2+1)^2-45/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)-45/128*2^(1/2)*ln((x-2^(1/2)*x^(1/2)+1)/(x+2^(1/2)*x^(1/2)+1))-45/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)-2/x^(1/2)","A"
335,1,87,93,0.015000," ","int(1/x^(5/2)/(x^2+1)^3,x)","-\frac{77 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{64}-\frac{77 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{64}-\frac{77 \sqrt{2}\, \ln \left(\frac{x +\sqrt{2}\, \sqrt{x}+1}{x -\sqrt{2}\, \sqrt{x}+1}\right)}{128}-\frac{2}{3 x^{\frac{3}{2}}}-\frac{2 \left(\frac{15 x^{\frac{5}{2}}}{32}+\frac{19 \sqrt{x}}{32}\right)}{\left(x^{2}+1\right)^{2}}"," ",0,"-2*(15/32*x^(5/2)+19/32*x^(1/2))/(x^2+1)^2-77/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)-77/128*2^(1/2)*ln((x+2^(1/2)*x^(1/2)+1)/(x-2^(1/2)*x^(1/2)+1))-77/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)-2/3/x^(3/2)","A"
336,1,92,98,0.014000," ","int(1/x^(7/2)/(x^2+1)^3,x)","\frac{117 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}-1\right)}{64}+\frac{117 \sqrt{2}\, \arctan \left(\sqrt{2}\, \sqrt{x}+1\right)}{64}+\frac{117 \sqrt{2}\, \ln \left(\frac{x -\sqrt{2}\, \sqrt{x}+1}{x +\sqrt{2}\, \sqrt{x}+1}\right)}{128}+\frac{6}{\sqrt{x}}-\frac{2}{5 x^{\frac{5}{2}}}+\frac{\frac{21 x^{\frac{7}{2}}}{16}+\frac{25 x^{\frac{3}{2}}}{16}}{\left(x^{2}+1\right)^{2}}"," ",0,"2*(21/32*x^(7/2)+25/32*x^(3/2))/(x^2+1)^2+117/128*2^(1/2)*ln((x-2^(1/2)*x^(1/2)+1)/(x+2^(1/2)*x^(1/2)+1))+117/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)-1)+117/64*2^(1/2)*arctan(2^(1/2)*x^(1/2)+1)-2/5/x^(5/2)+6/x^(1/2)","A"
337,1,24,11,0.009000," ","int(x^(1/2)/(-x^2+1),x)","-\arctan \left(\sqrt{x}\right)-\frac{\ln \left(\sqrt{x}-1\right)}{2}+\frac{\ln \left(\sqrt{x}+1\right)}{2}"," ",0,"-1/2*ln(-1+x^(1/2))+1/2*ln(1+x^(1/2))-arctan(x^(1/2))","B"
338,1,69,51,0.050000," ","int(x^(2/3)/(x^2+1),x)","\arctan \left(x^{\frac{1}{3}}\right)+\frac{\arctan \left(2 x^{\frac{1}{3}}-\sqrt{3}\right)}{2}+\frac{\arctan \left(2 x^{\frac{1}{3}}+\sqrt{3}\right)}{2}+\frac{\sqrt{3}\, \ln \left(x^{\frac{2}{3}}-\sqrt{3}\, x^{\frac{1}{3}}+1\right)}{4}-\frac{\sqrt{3}\, \ln \left(x^{\frac{2}{3}}+\sqrt{3}\, x^{\frac{1}{3}}+1\right)}{4}"," ",0,"arctan(x^(1/3))+1/2*arctan(2*x^(1/3)-3^(1/2))+1/2*arctan(2*x^(1/3)+3^(1/2))+1/4*ln(1+x^(2/3)-x^(1/3)*3^(1/2))*3^(1/2)-1/4*ln(1+x^(2/3)+x^(1/3)*3^(1/2))*3^(1/2)","A"
339,1,432,97,0.008000," ","int(x^m*(b*x^2+a)^5,x)","\frac{\left(b^{5} m^{5} x^{10}+25 b^{5} m^{4} x^{10}+5 a \,b^{4} m^{5} x^{8}+230 b^{5} m^{3} x^{10}+135 a \,b^{4} m^{4} x^{8}+950 b^{5} m^{2} x^{10}+10 a^{2} b^{3} m^{5} x^{6}+1310 a \,b^{4} m^{3} x^{8}+1689 b^{5} m \,x^{10}+290 a^{2} b^{3} m^{4} x^{6}+5610 a \,b^{4} m^{2} x^{8}+945 b^{5} x^{10}+10 a^{3} b^{2} m^{5} x^{4}+3020 a^{2} b^{3} m^{3} x^{6}+10205 a \,b^{4} m \,x^{8}+310 a^{3} b^{2} m^{4} x^{4}+13660 a^{2} b^{3} m^{2} x^{6}+5775 a \,b^{4} x^{8}+5 a^{4} b \,m^{5} x^{2}+3500 a^{3} b^{2} m^{3} x^{4}+25770 a^{2} b^{3} m \,x^{6}+165 a^{4} b \,m^{4} x^{2}+17300 a^{3} b^{2} m^{2} x^{4}+14850 a^{2} b^{3} x^{6}+a^{5} m^{5}+2030 a^{4} b \,m^{3} x^{2}+34890 a^{3} b^{2} m \,x^{4}+35 a^{5} m^{4}+11310 a^{4} b \,m^{2} x^{2}+20790 a^{3} b^{2} x^{4}+470 a^{5} m^{3}+26765 a^{4} b m \,x^{2}+3010 a^{5} m^{2}+17325 a^{4} b \,x^{2}+9129 a^{5} m +10395 a^{5}\right) x^{m +1}}{\left(m +11\right) \left(m +9\right) \left(m +7\right) \left(m +5\right) \left(m +3\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b^5*m^5*x^10+25*b^5*m^4*x^10+5*a*b^4*m^5*x^8+230*b^5*m^3*x^10+135*a*b^4*m^4*x^8+950*b^5*m^2*x^10+10*a^2*b^3*m^5*x^6+1310*a*b^4*m^3*x^8+1689*b^5*m*x^10+290*a^2*b^3*m^4*x^6+5610*a*b^4*m^2*x^8+945*b^5*x^10+10*a^3*b^2*m^5*x^4+3020*a^2*b^3*m^3*x^6+10205*a*b^4*m*x^8+310*a^3*b^2*m^4*x^4+13660*a^2*b^3*m^2*x^6+5775*a*b^4*x^8+5*a^4*b*m^5*x^2+3500*a^3*b^2*m^3*x^4+25770*a^2*b^3*m*x^6+165*a^4*b*m^4*x^2+17300*a^3*b^2*m^2*x^4+14850*a^2*b^3*x^6+a^5*m^5+2030*a^4*b*m^3*x^2+34890*a^3*b^2*m*x^4+35*a^5*m^4+11310*a^4*b*m^2*x^2+20790*a^3*b^2*x^4+470*a^5*m^3+26765*a^4*b*m*x^2+3010*a^5*m^2+17325*a^4*b*x^2+9129*a^5*m+10395*a^5)/(11+m)/(9+m)/(m+7)/(m+5)/(m+3)/(m+1)","B"
340,1,291,79,0.006000," ","int(x^m*(b*x^2+a)^4,x)","\frac{\left(b^{4} m^{4} x^{8}+16 b^{4} m^{3} x^{8}+4 a \,b^{3} m^{4} x^{6}+86 b^{4} m^{2} x^{8}+72 a \,b^{3} m^{3} x^{6}+176 b^{4} m \,x^{8}+6 a^{2} b^{2} m^{4} x^{4}+416 a \,b^{3} m^{2} x^{6}+105 b^{4} x^{8}+120 a^{2} b^{2} m^{3} x^{4}+888 a \,b^{3} m \,x^{6}+4 a^{3} b \,m^{4} x^{2}+780 a^{2} b^{2} m^{2} x^{4}+540 a \,b^{3} x^{6}+88 a^{3} b \,m^{3} x^{2}+1800 a^{2} b^{2} m \,x^{4}+a^{4} m^{4}+656 a^{3} b \,m^{2} x^{2}+1134 a^{2} b^{2} x^{4}+24 a^{4} m^{3}+1832 a^{3} b m \,x^{2}+206 a^{4} m^{2}+1260 a^{3} b \,x^{2}+744 a^{4} m +945 a^{4}\right) x^{m +1}}{\left(m +9\right) \left(m +7\right) \left(m +5\right) \left(m +3\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b^4*m^4*x^8+16*b^4*m^3*x^8+4*a*b^3*m^4*x^6+86*b^4*m^2*x^8+72*a*b^3*m^3*x^6+176*b^4*m*x^8+6*a^2*b^2*m^4*x^4+416*a*b^3*m^2*x^6+105*b^4*x^8+120*a^2*b^2*m^3*x^4+888*a*b^3*m*x^6+4*a^3*b*m^4*x^2+780*a^2*b^2*m^2*x^4+540*a*b^3*x^6+88*a^3*b*m^3*x^2+1800*a^2*b^2*m*x^4+a^4*m^4+656*a^3*b*m^2*x^2+1134*a^2*b^2*x^4+24*a^4*m^3+1832*a^3*b*m*x^2+206*a^4*m^2+1260*a^3*b*x^2+744*a^4*m+945*a^4)/(m+9)/(m+7)/(m+5)/(m+3)/(m+1)","B"
341,1,178,61,0.007000," ","int(x^m*(b*x^2+a)^3,x)","\frac{\left(b^{3} m^{3} x^{6}+9 b^{3} m^{2} x^{6}+3 a \,b^{2} m^{3} x^{4}+23 b^{3} m \,x^{6}+33 a \,b^{2} m^{2} x^{4}+15 b^{3} x^{6}+3 a^{2} b \,m^{3} x^{2}+93 a \,b^{2} m \,x^{4}+39 a^{2} b \,m^{2} x^{2}+63 a \,b^{2} x^{4}+a^{3} m^{3}+141 a^{2} b m \,x^{2}+15 a^{3} m^{2}+105 a^{2} b \,x^{2}+71 a^{3} m +105 a^{3}\right) x^{m +1}}{\left(m +7\right) \left(m +5\right) \left(m +3\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b^3*m^3*x^6+9*b^3*m^2*x^6+3*a*b^2*m^3*x^4+23*b^3*m*x^6+33*a*b^2*m^2*x^4+15*b^3*x^6+3*a^2*b*m^3*x^2+93*a*b^2*m*x^4+39*a^2*b*m^2*x^2+63*a*b^2*x^4+a^3*m^3+141*a^2*b*m*x^2+15*a^3*m^2+105*a^2*b*x^2+71*a^3*m+105*a^3)/(m+7)/(m+5)/(m+3)/(m+1)","B"
342,1,93,43,0.006000," ","int(x^m*(b*x^2+a)^2,x)","\frac{\left(b^{2} m^{2} x^{4}+4 b^{2} m \,x^{4}+2 a b \,m^{2} x^{2}+3 b^{2} x^{4}+12 a b m \,x^{2}+a^{2} m^{2}+10 a b \,x^{2}+8 a^{2} m +15 a^{2}\right) x^{m +1}}{\left(m +5\right) \left(m +3\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b^2*m^2*x^4+4*b^2*m*x^4+2*a*b*m^2*x^2+3*b^2*x^4+12*a*b*m*x^2+a^2*m^2+10*a*b*x^2+8*a^2*m+15*a^2)/(m+5)/(m+3)/(m+1)","B"
343,1,35,25,0.003000," ","int(x^m*(b*x^2+a),x)","\frac{\left(b m \,x^{2}+b \,x^{2}+a m +3 a \right) x^{m +1}}{\left(m +3\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b*m*x^2+b*x^2+a*m+3*a)/(m+3)/(m+1)","A"
344,0,0,37,0.257000," ","int(x^m/(b*x^2+a),x)","\int \frac{x^{m}}{b \,x^{2}+a}\, dx"," ",0,"int(x^m/(b*x^2+a),x)","F"
345,0,0,37,0.260000," ","int(x^m/(b*x^2+a)^2,x)","\int \frac{x^{m}}{\left(b \,x^{2}+a \right)^{2}}\, dx"," ",0,"int(x^m/(b*x^2+a)^2,x)","F"
346,0,0,37,0.256000," ","int(x^m/(b*x^2+a)^3,x)","\int \frac{x^{m}}{\left(b \,x^{2}+a \right)^{3}}\, dx"," ",0,"int(x^m/(b*x^2+a)^3,x)","F"
347,0,0,42,0.261000," ","int((c*x)^(m+1)/(b*x^2+a),x)","\int \frac{\left(c x \right)^{m +1}}{b \,x^{2}+a}\, dx"," ",0,"int((c*x)^(m+1)/(b*x^2+a),x)","F"
348,0,0,42,0.255000," ","int((c*x)^m/(b*x^2+a),x)","\int \frac{\left(c x \right)^{m}}{b \,x^{2}+a}\, dx"," ",0,"int((c*x)^m/(b*x^2+a),x)","F"
349,0,0,36,0.257000," ","int((c*x)^(m-1)/(b*x^2+a),x)","\int \frac{\left(c x \right)^{m -1}}{b \,x^{2}+a}\, dx"," ",0,"int((c*x)^(m-1)/(b*x^2+a),x)","F"
350,0,0,45,0.254000," ","int((c*x)^(m-2)/(b*x^2+a),x)","\int \frac{\left(c x \right)^{m -2}}{b \,x^{2}+a}\, dx"," ",0,"int((c*x)^(m-2)/(b*x^2+a),x)","F"
351,0,0,43,0.260000," ","int((c*x)^(m-3)/(b*x^2+a),x)","\int \frac{\left(c x \right)^{m -3}}{b \,x^{2}+a}\, dx"," ",0,"int((c*x)^(m-3)/(b*x^2+a),x)","F"
352,1,92,34,0.281000," ","int(x^m/(1+a/b*x^2)^2,x)","\frac{\left(\frac{2 \left(-\frac{m^{2}}{4}+\frac{1}{4}\right) x^{m +1} \left(\frac{a}{b}\right)^{\frac{m}{2}+\frac{1}{2}} \Phi \left(-\frac{a \,x^{2}}{b}, 1, \frac{m}{2}+\frac{1}{2}\right)}{m +1}+\frac{2 x^{m +1} \left(\frac{a}{b}\right)^{\frac{m}{2}+\frac{1}{2}}}{\frac{2 a \,x^{2}}{b}+2}\right) \left(\frac{a}{b}\right)^{-\frac{m}{2}-\frac{1}{2}}}{2}"," ",0,"1/2*(a/b)^(-1/2-1/2*m)*(2*x^(m+1)*(a/b)^(1/2*m+1/2)/(2+2*a/b*x^2)+2/(m+1)*x^(m+1)*(a/b)^(1/2*m+1/2)*(-1/4*m^2+1/4)*LerchPhi(-a/b*x^2,1,1/2*m+1/2))","C"
353,1,47,64,0.007000," ","int(x^7*(b*x^2+a)^(1/2),x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} \left(-35 b^{3} x^{6}+30 a \,b^{2} x^{4}-24 a^{2} b \,x^{2}+16 a^{3}\right)}{315 b^{4}}"," ",0,"-1/315*(b*x^2+a)^(3/2)*(-35*b^3*x^6+30*a*b^2*x^4-24*a^2*b*x^2+16*a^3)/b^4","A"
354,1,36,47,0.006000," ","int(x^5*(b*x^2+a)^(1/2),x)","\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} \left(15 b^{2} x^{4}-12 a b \,x^{2}+8 a^{2}\right)}{105 b^{3}}"," ",0,"1/105*(b*x^2+a)^(3/2)*(15*b^2*x^4-12*a*b*x^2+8*a^2)/b^3","A"
355,1,25,30,0.008000," ","int(x^3*(b*x^2+a)^(1/2),x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} \left(-3 b \,x^{2}+2 a \right)}{15 b^{2}}"," ",0,"-1/15*(b*x^2+a)^(3/2)*(-3*b*x^2+2*a)/b^2","A"
356,1,15,14,0.001000," ","int(x*(b*x^2+a)^(1/2),x)","\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}}}{3 b}"," ",0,"1/3*(b*x^2+a)^(3/2)/b","A"
357,1,39,29,0.003000," ","int((b*x^2+a)^(1/2)/x,x)","-\sqrt{a}\, \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)+\sqrt{b \,x^{2}+a}"," ",0,"(b*x^2+a)^(1/2)-a^(1/2)*ln((2*a+2*a^(1/2)*(b*x^2+a)^(1/2))/x)","A"
358,1,63,35,0.005000," ","int((b*x^2+a)^(1/2)/x^3,x)","-\frac{b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 \sqrt{a}}+\frac{\sqrt{b \,x^{2}+a}\, b}{2 a}-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}}}{2 a \,x^{2}}"," ",0,"-1/2/a/x^2*(b*x^2+a)^(3/2)-1/2/a^(1/2)*b*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+1/2/a*b*(b*x^2+a)^(1/2)","A"
359,1,85,55,0.006000," ","int((b*x^2+a)^(1/2)/x^5,x)","\frac{b^{2} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{2}+a}\, b^{2}}{8 a^{2}}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} b}{8 a^{2} x^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}}}{4 a \,x^{4}}"," ",0,"-1/4/a/x^4*(b*x^2+a)^(3/2)+1/8/a^2*b/x^2*(b*x^2+a)^(3/2)+1/8/a^(3/2)*b^2*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-1/8/a^2*b^2*(b*x^2+a)^(1/2)","A"
360,1,105,75,0.009000," ","int((b*x^2+a)^(1/2)/x^7,x)","-\frac{b^{3} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{5}{2}}}+\frac{\sqrt{b \,x^{2}+a}\, b^{3}}{16 a^{3}}-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{2}}{16 a^{3} x^{2}}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} b}{8 a^{2} x^{4}}-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}}}{6 a \,x^{6}}"," ",0,"-1/6/a/x^6*(b*x^2+a)^(3/2)+1/8/a^2*b/x^4*(b*x^2+a)^(3/2)-1/16/a^3*b^2/x^2*(b*x^2+a)^(3/2)-1/16/a^(5/2)*b^3*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+1/16/a^3*b^3*(b*x^2+a)^(1/2)","A"
361,1,77,74,0.008000," ","int(x^4*(b*x^2+a)^(1/2),x)","\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} x^{3}}{6 b}+\frac{a^{3} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{16 b^{\frac{5}{2}}}+\frac{\sqrt{b \,x^{2}+a}\, a^{2} x}{16 b^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} a x}{8 b^{2}}"," ",0,"1/6*x^3*(b*x^2+a)^(3/2)/b-1/8*a/b^2*x*(b*x^2+a)^(3/2)+1/16*a^2*x*(b*x^2+a)^(1/2)/b^2+1/16*a^3/b^(5/2)*ln(x*b^(1/2)+(b*x^2+a)^(1/2))","A"
362,1,57,54,0.005000," ","int(x^2*(b*x^2+a)^(1/2),x)","-\frac{a^{2} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 b^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{2}+a}\, a x}{8 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} x}{4 b}"," ",0,"1/4*x*(b*x^2+a)^(3/2)/b-1/8*a*x*(b*x^2+a)^(1/2)/b-1/8*a^2/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
363,1,36,34,0.003000," ","int((b*x^2+a)^(1/2),x)","\frac{a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 \sqrt{b}}+\frac{\sqrt{b \,x^{2}+a}\, x}{2}"," ",0,"1/2*x*(b*x^2+a)^(1/2)+1/2*a/b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
364,1,54,34,0.004000," ","int((b*x^2+a)^(1/2)/x^2,x)","\sqrt{b}\, \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)+\frac{\sqrt{b \,x^{2}+a}\, b x}{a}-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}}}{a x}"," ",0,"-1/a/x*(b*x^2+a)^(3/2)+1/a*b*x*(b*x^2+a)^(1/2)+b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
365,1,18,17,0.003000," ","int((b*x^2+a)^(1/2)/x^4,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}}}{3 a \,x^{3}}"," ",0,"-1/3*(b*x^2+a)^(3/2)/a/x^3","A"
366,1,28,36,0.004000," ","int((b*x^2+a)^(1/2)/x^6,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} \left(-2 b \,x^{2}+3 a \right)}{15 a^{2} x^{5}}"," ",0,"-1/15*(b*x^2+a)^(3/2)*(-2*b*x^2+3*a)/a^2/x^5","A"
367,1,39,56,0.006000," ","int((b*x^2+a)^(1/2)/x^8,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} \left(8 b^{2} x^{4}-12 a b \,x^{2}+15 a^{2}\right)}{105 a^{3} x^{7}}"," ",0,"-1/105*(b*x^2+a)^(3/2)*(8*b^2*x^4-12*a*b*x^2+15*a^2)/a^3/x^7","A"
368,1,50,76,0.006000," ","int((b*x^2+a)^(1/2)/x^10,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} \left(-16 b^{3} x^{6}+24 a \,b^{2} x^{4}-30 a^{2} b \,x^{2}+35 a^{3}\right)}{315 a^{4} x^{9}}"," ",0,"-1/315*(b*x^2+a)^(3/2)*(-16*b^3*x^6+24*a*b^2*x^4-30*a^2*b*x^2+35*a^3)/x^9/a^4","A"
369,1,47,64,0.006000," ","int(x^7*(b*x^2+a)^(3/2),x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} \left(-105 b^{3} x^{6}+70 a \,b^{2} x^{4}-40 a^{2} b \,x^{2}+16 a^{3}\right)}{1155 b^{4}}"," ",0,"-1/1155*(b*x^2+a)^(5/2)*(-105*b^3*x^6+70*a*b^2*x^4-40*a^2*b*x^2+16*a^3)/b^4","A"
370,1,36,47,0.005000," ","int(x^5*(b*x^2+a)^(3/2),x)","\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} \left(35 b^{2} x^{4}-20 a b \,x^{2}+8 a^{2}\right)}{315 b^{3}}"," ",0,"1/315*(b*x^2+a)^(5/2)*(35*b^2*x^4-20*a*b*x^2+8*a^2)/b^3","A"
371,1,25,30,0.005000," ","int(x^3*(b*x^2+a)^(3/2),x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} \left(-5 b \,x^{2}+2 a \right)}{35 b^{2}}"," ",0,"-1/35*(b*x^2+a)^(5/2)*(-5*b*x^2+2*a)/b^2","A"
372,1,15,14,0.003000," ","int(x*(b*x^2+a)^(3/2),x)","\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}}}{5 b}"," ",0,"1/5*(b*x^2+a)^(5/2)/b","A"
373,1,52,42,0.006000," ","int((b*x^2+a)^(3/2)/x,x)","-a^{\frac{3}{2}} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)+\sqrt{b \,x^{2}+a}\, a +\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}}}{3}"," ",0,"1/3*(b*x^2+a)^(3/2)-ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)*a^(3/2)+a*(b*x^2+a)^(1/2)","A"
374,1,75,47,0.006000," ","int((b*x^2+a)^(3/2)/x^3,x)","-\frac{3 \sqrt{a}\, b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2}+\frac{3 \sqrt{b \,x^{2}+a}\, b}{2}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} b}{2 a}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}}}{2 a \,x^{2}}"," ",0,"-1/2/a/x^2*(b*x^2+a)^(5/2)+1/2/a*b*(b*x^2+a)^(3/2)-3/2*a^(1/2)*b*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+3/2*b*(b*x^2+a)^(1/2)","A"
375,1,102,52,0.006000," ","int((b*x^2+a)^(3/2)/x^5,x)","-\frac{3 b^{2} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8 \sqrt{a}}+\frac{3 \sqrt{b \,x^{2}+a}\, b^{2}}{8 a}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{2}}{8 a^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} b}{8 a^{2} x^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}}}{4 a \,x^{4}}"," ",0,"-1/4/a/x^4*(b*x^2+a)^(5/2)-1/8/a^2*b/x^2*(b*x^2+a)^(5/2)+1/8/a^2*b^2*(b*x^2+a)^(3/2)-3/8/a^(1/2)*b^2*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+3/8/a*b^2*(b*x^2+a)^(1/2)","A"
376,1,122,72,0.010000," ","int((b*x^2+a)^(3/2)/x^7,x)","\frac{b^{3} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{2}+a}\, b^{3}}{16 a^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}{48 a^{3}}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}{48 a^{3} x^{2}}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} b}{24 a^{2} x^{4}}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}}}{6 a \,x^{6}}"," ",0,"-1/6/a/x^6*(b*x^2+a)^(5/2)+1/24/a^2*b/x^4*(b*x^2+a)^(5/2)+1/48/a^3*b^2/x^2*(b*x^2+a)^(5/2)-1/48/a^3*b^3*(b*x^2+a)^(3/2)+1/16/a^(3/2)*b^3*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-1/16/a^2*b^3*(b*x^2+a)^(1/2)","A"
377,1,142,92,0.016000," ","int((b*x^2+a)^(3/2)/x^9,x)","-\frac{3 b^{4} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{5}{2}}}+\frac{3 \sqrt{b \,x^{2}+a}\, b^{4}}{128 a^{3}}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{4}}{128 a^{4}}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}{128 a^{4} x^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}{64 a^{3} x^{4}}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} b}{16 a^{2} x^{6}}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}}}{8 a \,x^{8}}"," ",0,"-1/8/a/x^8*(b*x^2+a)^(5/2)+1/16/a^2*b/x^6*(b*x^2+a)^(5/2)-1/64/a^3*b^2/x^4*(b*x^2+a)^(5/2)-1/128/a^4*b^3/x^2*(b*x^2+a)^(5/2)+1/128/a^4*b^4*(b*x^2+a)^(3/2)-3/128/a^(5/2)*b^4*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+3/128/a^3*b^4*(b*x^2+a)^(1/2)","A"
378,1,95,91,0.006000," ","int(x^4*(b*x^2+a)^(3/2),x)","\frac{3 a^{4} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{128 b^{\frac{5}{2}}}+\frac{3 \sqrt{b \,x^{2}+a}\, a^{3} x}{128 b^{2}}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} x^{3}}{8 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2} x}{64 b^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} a x}{16 b^{2}}"," ",0,"1/8*x^3*(b*x^2+a)^(5/2)/b-1/16*a/b^2*x*(b*x^2+a)^(5/2)+1/64*a^2/b^2*x*(b*x^2+a)^(3/2)+3/128*a^3*x*(b*x^2+a)^(1/2)/b^2+3/128*a^4/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
379,1,75,71,0.005000," ","int(x^2*(b*x^2+a)^(3/2),x)","-\frac{a^{3} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{16 b^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{2}+a}\, a^{2} x}{16 b}-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} a x}{24 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} x}{6 b}"," ",0,"1/6*x*(b*x^2+a)^(5/2)/b-1/24*a/b*x*(b*x^2+a)^(3/2)-1/16*a^2*x*(b*x^2+a)^(1/2)/b-1/16*a^3/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
380,1,51,49,0.003000," ","int((b*x^2+a)^(3/2),x)","\frac{3 a^{2} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 \sqrt{b}}+\frac{3 \sqrt{b \,x^{2}+a}\, a x}{8}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} x}{4}"," ",0,"1/4*x*(b*x^2+a)^(3/2)+3/8*a*x*(b*x^2+a)^(1/2)+3/8*a^2/b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
381,1,69,49,0.004000," ","int((b*x^2+a)^(3/2)/x^2,x)","\frac{3 a \sqrt{b}\, \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2}+\frac{3 \sqrt{b \,x^{2}+a}\, b x}{2}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} b x}{a}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}}}{a x}"," ",0,"-1/a/x*(b*x^2+a)^(5/2)+1/a*b*x*(b*x^2+a)^(3/2)+3/2*b*x*(b*x^2+a)^(1/2)+3/2*a*b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
382,1,92,49,0.004000," ","int((b*x^2+a)^(3/2)/x^4,x)","b^{\frac{3}{2}} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)+\frac{\sqrt{b \,x^{2}+a}\, b^{2} x}{a}+\frac{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{2} x}{3 a^{2}}-\frac{2 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b}{3 a^{2} x}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}}}{3 a \,x^{3}}"," ",0,"-1/3/a/x^3*(b*x^2+a)^(5/2)-2/3/a^2*b/x*(b*x^2+a)^(5/2)+2/3/a^2*b^2*x*(b*x^2+a)^(3/2)+1/a*b^2*x*(b*x^2+a)^(1/2)+b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
383,1,18,17,0.004000," ","int((b*x^2+a)^(3/2)/x^6,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}}}{5 a \,x^{5}}"," ",0,"-1/5*(b*x^2+a)^(5/2)/a/x^5","A"
384,1,28,36,0.003000," ","int((b*x^2+a)^(3/2)/x^8,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} \left(-2 b \,x^{2}+5 a \right)}{35 a^{2} x^{7}}"," ",0,"-1/35*(b*x^2+a)^(5/2)*(-2*b*x^2+5*a)/x^7/a^2","A"
385,1,39,56,0.004000," ","int((b*x^2+a)^(3/2)/x^10,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} \left(8 b^{2} x^{4}-20 a b \,x^{2}+35 a^{2}\right)}{315 a^{3} x^{9}}"," ",0,"-1/315*(b*x^2+a)^(5/2)*(8*b^2*x^4-20*a*b*x^2+35*a^2)/x^9/a^3","A"
386,1,50,76,0.006000," ","int((b*x^2+a)^(3/2)/x^12,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} \left(-16 b^{3} x^{6}+40 a \,b^{2} x^{4}-70 a^{2} b \,x^{2}+105 a^{3}\right)}{1155 a^{4} x^{11}}"," ",0,"-1/1155*(b*x^2+a)^(5/2)*(-16*b^3*x^6+40*a*b^2*x^4-70*a^2*b*x^2+105*a^3)/x^11/a^4","A"
387,1,47,64,0.006000," ","int(x^7*(b*x^2+a)^(5/2),x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} \left(-231 b^{3} x^{6}+126 a \,b^{2} x^{4}-56 a^{2} b \,x^{2}+16 a^{3}\right)}{3003 b^{4}}"," ",0,"-1/3003*(b*x^2+a)^(7/2)*(-231*b^3*x^6+126*a*b^2*x^4-56*a^2*b*x^2+16*a^3)/b^4","A"
388,1,36,47,0.005000," ","int(x^5*(b*x^2+a)^(5/2),x)","\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} \left(63 b^{2} x^{4}-28 a b \,x^{2}+8 a^{2}\right)}{693 b^{3}}"," ",0,"1/693*(b*x^2+a)^(7/2)*(63*b^2*x^4-28*a*b*x^2+8*a^2)/b^3","A"
389,1,25,30,0.004000," ","int(x^3*(b*x^2+a)^(5/2),x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} \left(-7 b \,x^{2}+2 a \right)}{63 b^{2}}"," ",0,"-1/63*(b*x^2+a)^(7/2)*(-7*b*x^2+2*a)/b^2","A"
390,1,15,14,0.003000," ","int(x*(b*x^2+a)^(5/2),x)","\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}}}{7 b}"," ",0,"1/7*(b*x^2+a)^(7/2)/b","A"
391,1,66,56,0.005000," ","int((b*x^2+a)^(5/2)/x,x)","-a^{\frac{5}{2}} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)+\sqrt{b \,x^{2}+a}\, a^{2}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} a}{3}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}}}{5}"," ",0,"1/5*(b*x^2+a)^(5/2)+1/3*a*(b*x^2+a)^(3/2)-a^(5/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+a^2*(b*x^2+a)^(1/2)","A"
392,1,88,60,0.006000," ","int((b*x^2+a)^(5/2)/x^3,x)","-\frac{5 a^{\frac{3}{2}} b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2}+\frac{5 \sqrt{b \,x^{2}+a}\, a b}{2}+\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b}{6}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} b}{2 a}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}}}{2 a \,x^{2}}"," ",0,"-1/2/a/x^2*(b*x^2+a)^(7/2)+1/2/a*b*(b*x^2+a)^(5/2)+5/6*b*(b*x^2+a)^(3/2)-5/2*a^(3/2)*b*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+5/2*a*b*(b*x^2+a)^(1/2)","A"
393,1,116,66,0.006000," ","int((b*x^2+a)^(5/2)/x^5,x)","-\frac{15 \sqrt{a}\, b^{2} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8}+\frac{15 \sqrt{b \,x^{2}+a}\, b^{2}}{8}+\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{2}}{8 a}+\frac{3 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}{8 a^{2}}-\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}{8 a^{2} x^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}}}{4 a \,x^{4}}"," ",0,"-1/4/a/x^4*(b*x^2+a)^(7/2)-3/8/a^2*b/x^2*(b*x^2+a)^(7/2)+3/8/a^2*b^2*(b*x^2+a)^(5/2)+5/8/a*b^2*(b*x^2+a)^(3/2)-15/8*a^(1/2)*b^2*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+15/8*b^2*(b*x^2+a)^(1/2)","A"
394,1,139,69,0.010000," ","int((b*x^2+a)^(5/2)/x^7,x)","-\frac{5 b^{3} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{16 \sqrt{a}}+\frac{5 \sqrt{b \,x^{2}+a}\, b^{3}}{16 a}+\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}{48 a^{2}}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}{16 a^{3}}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}{16 a^{3} x^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b}{24 a^{2} x^{4}}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}}}{6 a \,x^{6}}"," ",0,"-1/6/a/x^6*(b*x^2+a)^(7/2)-1/24/a^2*b/x^4*(b*x^2+a)^(7/2)-1/16/a^3*b^2/x^2*(b*x^2+a)^(7/2)+1/16/a^3*b^3*(b*x^2+a)^(5/2)+5/48/a^2*b^3*(b*x^2+a)^(3/2)-5/16/a^(1/2)*b^3*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+5/16/a*b^3*(b*x^2+a)^(1/2)","A"
395,1,159,89,0.018000," ","int((b*x^2+a)^(5/2)/x^9,x)","\frac{5 b^{4} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{3}{2}}}-\frac{5 \sqrt{b \,x^{2}+a}\, b^{4}}{128 a^{2}}-\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{4}}{384 a^{3}}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{4}}{128 a^{4}}+\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}{128 a^{4} x^{2}}+\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}{192 a^{3} x^{4}}+\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b}{48 a^{2} x^{6}}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}}}{8 a \,x^{8}}"," ",0,"-1/8/a/x^8*(b*x^2+a)^(7/2)+1/48/a^2*b/x^6*(b*x^2+a)^(7/2)+1/192/a^3*b^2/x^4*(b*x^2+a)^(7/2)+1/128/a^4*b^3/x^2*(b*x^2+a)^(7/2)-1/128/a^4*b^4*(b*x^2+a)^(5/2)-5/384/a^3*b^4*(b*x^2+a)^(3/2)+5/128/a^(3/2)*b^4*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-5/128/a^2*b^4*(b*x^2+a)^(1/2)","A"
396,1,179,109,0.036000," ","int((b*x^2+a)^(5/2)/x^11,x)","-\frac{3 b^{5} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{5}{2}}}+\frac{3 \sqrt{b \,x^{2}+a}\, b^{5}}{256 a^{3}}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{5}}{256 a^{4}}+\frac{3 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{5}}{1280 a^{5}}-\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{4}}{1280 a^{5} x^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}{640 a^{4} x^{4}}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}{160 a^{3} x^{6}}+\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}{80 a^{2} x^{8}}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}}}{10 a \,x^{10}}"," ",0,"-1/10/a/x^10*(b*x^2+a)^(7/2)+3/80/a^2*b/x^8*(b*x^2+a)^(7/2)-1/160/a^3*b^2/x^6*(b*x^2+a)^(7/2)-1/640/a^4*b^3/x^4*(b*x^2+a)^(7/2)-3/1280/a^5*b^4/x^2*(b*x^2+a)^(7/2)+3/1280/a^5*b^5*(b*x^2+a)^(5/2)+1/256/a^4*b^5*(b*x^2+a)^(3/2)-3/256/a^(5/2)*b^5*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+3/256/a^3*b^5*(b*x^2+a)^(1/2)","A"
397,1,113,108,0.007000," ","int(x^4*(b*x^2+a)^(5/2),x)","\frac{3 a^{5} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{256 b^{\frac{5}{2}}}+\frac{3 \sqrt{b \,x^{2}+a}\, a^{4} x}{256 b^{2}}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{3} x}{128 b^{2}}+\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} x^{3}}{10 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{2} x}{160 b^{2}}-\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a x}{80 b^{2}}"," ",0,"1/10*x^3*(b*x^2+a)^(7/2)/b-3/80*a/b^2*x*(b*x^2+a)^(7/2)+1/160*a^2/b^2*x*(b*x^2+a)^(5/2)+1/128*a^3/b^2*x*(b*x^2+a)^(3/2)+3/256*a^4*x*(b*x^2+a)^(1/2)/b^2+3/256*a^5/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
398,1,93,88,0.008000," ","int(x^2*(b*x^2+a)^(5/2),x)","-\frac{5 a^{4} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{128 b^{\frac{3}{2}}}-\frac{5 \sqrt{b \,x^{2}+a}\, a^{3} x}{128 b}-\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2} x}{192 b}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} a x}{48 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} x}{8 b}"," ",0,"1/8*x*(b*x^2+a)^(7/2)/b-1/48*a/b*x*(b*x^2+a)^(5/2)-5/192*a^2/b*x*(b*x^2+a)^(3/2)-5/128*a^3*x*(b*x^2+a)^(1/2)/b-5/128*a^4/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
399,1,66,64,0.003000," ","int((b*x^2+a)^(5/2),x)","\frac{5 a^{3} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{16 \sqrt{b}}+\frac{5 \sqrt{b \,x^{2}+a}\, a^{2} x}{16}+\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a x}{24}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} x}{6}"," ",0,"1/6*x*(b*x^2+a)^(5/2)+5/24*a*x*(b*x^2+a)^(3/2)+5/16*a^2*x*(b*x^2+a)^(1/2)+5/16*a^3/b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
400,1,85,65,0.005000," ","int((b*x^2+a)^(5/2)/x^2,x)","\frac{15 a^{2} \sqrt{b}\, \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8}+\frac{15 \sqrt{b \,x^{2}+a}\, a b x}{8}+\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b x}{4}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} b x}{a}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}}}{a x}"," ",0,"-1/a/x*(b*x^2+a)^(7/2)+1/a*b*x*(b*x^2+a)^(5/2)+5/4*b*x*(b*x^2+a)^(3/2)+15/8*a*b*x*(b*x^2+a)^(1/2)+15/8*a^2*b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
401,1,110,66,0.006000," ","int((b*x^2+a)^(5/2)/x^4,x)","\frac{5 a \,b^{\frac{3}{2}} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2}+\frac{5 \sqrt{b \,x^{2}+a}\, b^{2} x}{2}+\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{2} x}{3 a}+\frac{4 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2} x}{3 a^{2}}-\frac{4 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}{3 a^{2} x}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}}}{3 a \,x^{3}}"," ",0,"-1/3/a/x^3*(b*x^2+a)^(7/2)-4/3/a^2*b/x*(b*x^2+a)^(7/2)+4/3/a^2*b^2*x*(b*x^2+a)^(5/2)+5/3/a*b^2*x*(b*x^2+a)^(3/2)+5/2*b^2*x*(b*x^2+a)^(1/2)+5/2*a*b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
402,1,130,66,0.010000," ","int((b*x^2+a)^(5/2)/x^6,x)","b^{\frac{5}{2}} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)+\frac{\sqrt{b \,x^{2}+a}\, b^{3} x}{a}+\frac{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3} x}{3 a^{2}}+\frac{8 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3} x}{15 a^{3}}-\frac{8 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}{15 a^{3} x}-\frac{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}{15 a^{2} x^{3}}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}}}{5 a \,x^{5}}"," ",0,"-1/5/a/x^5*(b*x^2+a)^(7/2)-2/15/a^2*b/x^3*(b*x^2+a)^(7/2)-8/15/a^3*b^2/x*(b*x^2+a)^(7/2)+8/15/a^3*b^3*x*(b*x^2+a)^(5/2)+2/3/a^2*b^3*x*(b*x^2+a)^(3/2)+1/a*b^3*x*(b*x^2+a)^(1/2)+b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
403,1,18,17,0.003000," ","int((b*x^2+a)^(5/2)/x^8,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}}}{7 a \,x^{7}}"," ",0,"-1/7*(b*x^2+a)^(7/2)/a/x^7","A"
404,1,28,36,0.006000," ","int((b*x^2+a)^(5/2)/x^10,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} \left(-2 b \,x^{2}+7 a \right)}{63 a^{2} x^{9}}"," ",0,"-1/63*(b*x^2+a)^(7/2)*(-2*b*x^2+7*a)/x^9/a^2","A"
405,1,39,56,0.006000," ","int((b*x^2+a)^(5/2)/x^12,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} \left(8 b^{2} x^{4}-28 a b \,x^{2}+63 a^{2}\right)}{693 a^{3} x^{11}}"," ",0,"-1/693*(b*x^2+a)^(7/2)*(8*b^2*x^4-28*a*b*x^2+63*a^2)/x^11/a^3","A"
406,1,50,76,0.007000," ","int((b*x^2+a)^(5/2)/x^14,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} \left(-16 b^{3} x^{6}+56 a \,b^{2} x^{4}-126 a^{2} b \,x^{2}+231 a^{3}\right)}{3003 a^{4} x^{13}}"," ",0,"-1/3003*(b*x^2+a)^(7/2)*(-16*b^3*x^6+56*a*b^2*x^4-126*a^2*b*x^2+231*a^3)/x^13/a^4","A"
407,1,61,96,0.007000," ","int((b*x^2+a)^(5/2)/x^16,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} \left(128 b^{4} x^{8}-448 a \,b^{3} x^{6}+1008 a^{2} b^{2} x^{4}-1848 a^{3} b \,x^{2}+3003 a^{4}\right)}{45045 a^{5} x^{15}}"," ",0,"-1/45045*(b*x^2+a)^(7/2)*(128*b^4*x^8-448*a*b^3*x^6+1008*a^2*b^2*x^4-1848*a^3*b*x^2+3003*a^4)/x^15/a^5","A"
408,1,72,116,0.008000," ","int((b*x^2+a)^(5/2)/x^18,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} \left(-256 b^{5} x^{10}+896 a \,b^{4} x^{8}-2016 a^{2} b^{3} x^{6}+3696 a^{3} b^{2} x^{4}-6006 a^{4} b \,x^{2}+9009 a^{5}\right)}{153153 a^{6} x^{17}}"," ",0,"-1/153153*(b*x^2+a)^(7/2)*(-256*b^5*x^10+896*a*b^4*x^8-2016*a^2*b^3*x^6+3696*a^3*b^2*x^4-6006*a^4*b*x^2+9009*a^5)/x^17/a^6","A"
409,1,91,131,0.008000," ","int(x^15*(b*x^2+a)^(9/2),x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} \left(-1062347 x^{14} b^{7}+646646 a \,x^{12} b^{6}-369512 a^{2} x^{10} b^{5}+194480 a^{3} x^{8} b^{4}-91520 a^{4} x^{6} b^{3}+36608 a^{5} x^{4} b^{2}-11264 a^{6} x^{2} b +2048 a^{7}\right)}{26558675 b^{8}}"," ",0,"-1/26558675*(b*x^2+a)^(11/2)*(-1062347*b^7*x^14+646646*a*b^6*x^12-369512*a^2*b^5*x^10+194480*a^3*b^4*x^8-91520*a^4*b^3*x^6+36608*a^5*b^2*x^4-11264*a^6*b*x^2+2048*a^7)/b^8","A"
410,1,80,114,0.008000," ","int(x^13*(b*x^2+a)^(9/2),x)","\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} \left(323323 x^{12} b^{6}-184756 a \,x^{10} b^{5}+97240 a^{2} x^{8} b^{4}-45760 a^{3} x^{6} b^{3}+18304 a^{4} x^{4} b^{2}-5632 a^{5} x^{2} b +1024 a^{6}\right)}{7436429 b^{7}}"," ",0,"1/7436429*(b*x^2+a)^(11/2)*(323323*b^6*x^12-184756*a*b^5*x^10+97240*a^2*b^4*x^8-45760*a^3*b^3*x^6+18304*a^4*b^2*x^4-5632*a^5*b*x^2+1024*a^6)/b^7","A"
411,1,69,98,0.006000," ","int(x^11*(b*x^2+a)^(9/2),x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} \left(-46189 b^{5} x^{10}+24310 a \,b^{4} x^{8}-11440 a^{2} b^{3} x^{6}+4576 a^{3} b^{2} x^{4}-1408 a^{4} b \,x^{2}+256 a^{5}\right)}{969969 b^{6}}"," ",0,"-1/969969*(b*x^2+a)^(11/2)*(-46189*b^5*x^10+24310*a*b^4*x^8-11440*a^2*b^3*x^6+4576*a^3*b^2*x^4-1408*a^4*b*x^2+256*a^5)/b^6","A"
412,1,58,81,0.006000," ","int(x^9*(b*x^2+a)^(9/2),x)","\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} \left(12155 b^{4} x^{8}-5720 a \,b^{3} x^{6}+2288 a^{2} b^{2} x^{4}-704 a^{3} b \,x^{2}+128 a^{4}\right)}{230945 b^{5}}"," ",0,"1/230945*(b*x^2+a)^(11/2)*(12155*b^4*x^8-5720*a*b^3*x^6+2288*a^2*b^2*x^4-704*a^3*b*x^2+128*a^4)/b^5","A"
413,1,47,64,0.006000," ","int(x^7*(b*x^2+a)^(9/2),x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} \left(-715 b^{3} x^{6}+286 a \,b^{2} x^{4}-88 a^{2} b \,x^{2}+16 a^{3}\right)}{12155 b^{4}}"," ",0,"-1/12155*(b*x^2+a)^(11/2)*(-715*b^3*x^6+286*a*b^2*x^4-88*a^2*b*x^2+16*a^3)/b^4","A"
414,1,36,47,0.005000," ","int(x^5*(b*x^2+a)^(9/2),x)","\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} \left(143 b^{2} x^{4}-44 a b \,x^{2}+8 a^{2}\right)}{2145 b^{3}}"," ",0,"1/2145*(b*x^2+a)^(11/2)*(143*b^2*x^4-44*a*b*x^2+8*a^2)/b^3","A"
415,1,25,30,0.005000," ","int(x^3*(b*x^2+a)^(9/2),x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} \left(-11 b \,x^{2}+2 a \right)}{143 b^{2}}"," ",0,"-1/143*(b*x^2+a)^(11/2)*(-11*b*x^2+2*a)/b^2","A"
416,1,15,14,0.003000," ","int(x*(b*x^2+a)^(9/2),x)","\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{11 b}"," ",0,"1/11*(b*x^2+a)^(11/2)/b","A"
417,1,94,84,0.005000," ","int((b*x^2+a)^(9/2)/x,x)","-a^{\frac{9}{2}} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)+\sqrt{b \,x^{2}+a}\, a^{4}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{3}}{3}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{2}}{5}+\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} a}{7}+\frac{\left(b \,x^{2}+a \right)^{\frac{9}{2}}}{9}"," ",0,"1/9*(b*x^2+a)^(9/2)+1/7*a*(b*x^2+a)^(7/2)+1/5*a^2*(b*x^2+a)^(5/2)+1/3*a^3*(b*x^2+a)^(3/2)-a^(9/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+a^4*(b*x^2+a)^(1/2)","A"
418,1,118,90,0.007000," ","int((b*x^2+a)^(9/2)/x^3,x)","-\frac{9 a^{\frac{7}{2}} b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2}+\frac{9 \sqrt{b \,x^{2}+a}\, a^{3} b}{2}+\frac{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2} b}{2}+\frac{9 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a b}{10}+\frac{9 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}{14}+\frac{\left(b \,x^{2}+a \right)^{\frac{9}{2}} b}{2 a}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{2 a \,x^{2}}"," ",0,"-1/2/a/x^2*(b*x^2+a)^(11/2)+1/2/a*b*(b*x^2+a)^(9/2)+9/14*b*(b*x^2+a)^(7/2)+9/10*a*b*(b*x^2+a)^(5/2)+3/2*a^2*b*(b*x^2+a)^(3/2)-9/2*a^(7/2)*b*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+9/2*a^3*b*(b*x^2+a)^(1/2)","A"
419,1,148,98,0.007000," ","int((b*x^2+a)^(9/2)/x^5,x)","-\frac{63 a^{\frac{5}{2}} b^{2} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8}+\frac{63 \sqrt{b \,x^{2}+a}\, a^{2} b^{2}}{8}+\frac{21 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a \,b^{2}}{8}+\frac{63 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}{40}+\frac{9 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}{8 a}+\frac{7 \left(b \,x^{2}+a \right)^{\frac{9}{2}} b^{2}}{8 a^{2}}-\frac{7 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b}{8 a^{2} x^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{4 a \,x^{4}}"," ",0,"-1/4/a/x^4*(b*x^2+a)^(11/2)-7/8/a^2*b/x^2*(b*x^2+a)^(11/2)+7/8/a^2*b^2*(b*x^2+a)^(9/2)+9/8/a*b^2*(b*x^2+a)^(7/2)+63/40*b^2*(b*x^2+a)^(5/2)+21/8*a*b^2*(b*x^2+a)^(3/2)-63/8*a^(5/2)*b^2*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+63/8*a^2*b^2*(b*x^2+a)^(1/2)","A"
420,1,168,98,0.012000," ","int((b*x^2+a)^(9/2)/x^7,x)","-\frac{105 a^{\frac{3}{2}} b^{3} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{16}+\frac{105 \sqrt{b \,x^{2}+a}\, a \,b^{3}}{16}+\frac{35 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}{16}+\frac{21 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}{16 a}+\frac{15 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}{16 a^{2}}+\frac{35 \left(b \,x^{2}+a \right)^{\frac{9}{2}} b^{3}}{48 a^{3}}-\frac{35 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{2}}{48 a^{3} x^{2}}-\frac{5 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b}{24 a^{2} x^{4}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{6 a \,x^{6}}"," ",0,"-1/6/a/x^6*(b*x^2+a)^(11/2)-5/24/a^2*b/x^4*(b*x^2+a)^(11/2)-35/48/a^3*b^2/x^2*(b*x^2+a)^(11/2)+35/48/a^3*b^3*(b*x^2+a)^(9/2)+15/16/a^2*b^3*(b*x^2+a)^(7/2)+21/16/a*b^3*(b*x^2+a)^(5/2)+35/16*b^3*(b*x^2+a)^(3/2)-105/16*a^(3/2)*b^3*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+105/16*a*b^3*(b*x^2+a)^(1/2)","A"
421,1,190,100,0.023000," ","int((b*x^2+a)^(9/2)/x^9,x)","-\frac{315 \sqrt{a}\, b^{4} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{128}+\frac{315 \sqrt{b \,x^{2}+a}\, b^{4}}{128}+\frac{105 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{4}}{128 a}+\frac{63 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{4}}{128 a^{2}}+\frac{45 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{4}}{128 a^{3}}+\frac{35 \left(b \,x^{2}+a \right)^{\frac{9}{2}} b^{4}}{128 a^{4}}-\frac{35 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{3}}{128 a^{4} x^{2}}-\frac{5 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{2}}{64 a^{3} x^{4}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b}{16 a^{2} x^{6}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{8 a \,x^{8}}"," ",0,"-1/8/a/x^8*(b*x^2+a)^(11/2)-1/16/a^2*b/x^6*(b*x^2+a)^(11/2)-5/64/a^3*b^2/x^4*(b*x^2+a)^(11/2)-35/128/a^4*b^3/x^2*(b*x^2+a)^(11/2)+35/128/a^4*b^4*(b*x^2+a)^(9/2)+45/128/a^3*b^4*(b*x^2+a)^(7/2)+63/128/a^2*b^4*(b*x^2+a)^(5/2)+105/128/a*b^4*(b*x^2+a)^(3/2)-315/128*a^(1/2)*b^4*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+315/128*b^4*(b*x^2+a)^(1/2)","A"
422,1,213,103,0.051000," ","int((b*x^2+a)^(9/2)/x^11,x)","-\frac{63 b^{5} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{256 \sqrt{a}}+\frac{63 \sqrt{b \,x^{2}+a}\, b^{5}}{256 a}+\frac{21 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{5}}{256 a^{2}}+\frac{63 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{5}}{1280 a^{3}}+\frac{9 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{5}}{256 a^{4}}+\frac{7 \left(b \,x^{2}+a \right)^{\frac{9}{2}} b^{5}}{256 a^{5}}-\frac{7 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{4}}{256 a^{5} x^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{3}}{128 a^{4} x^{4}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{2}}{160 a^{3} x^{6}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b}{80 a^{2} x^{8}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{10 a \,x^{10}}"," ",0,"-1/10/a/x^10*(b*x^2+a)^(11/2)-1/80/a^2*b/x^8*(b*x^2+a)^(11/2)-1/160/a^3*b^2/x^6*(b*x^2+a)^(11/2)-1/128/a^4*b^3/x^4*(b*x^2+a)^(11/2)-7/256/a^5*b^4/x^2*(b*x^2+a)^(11/2)+7/256/a^5*b^5*(b*x^2+a)^(9/2)+9/256/a^4*b^5*(b*x^2+a)^(7/2)+63/1280/a^3*b^5*(b*x^2+a)^(5/2)+21/256/a^2*b^5*(b*x^2+a)^(3/2)-63/256/a^(1/2)*b^5*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+63/256/a*b^5*(b*x^2+a)^(1/2)","B"
423,1,233,123,0.128000," ","int((b*x^2+a)^(9/2)/x^13,x)","\frac{21 b^{6} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{1024 a^{\frac{3}{2}}}-\frac{21 \sqrt{b \,x^{2}+a}\, b^{6}}{1024 a^{2}}-\frac{7 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{6}}{1024 a^{3}}-\frac{21 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{6}}{5120 a^{4}}-\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{6}}{1024 a^{5}}-\frac{7 \left(b \,x^{2}+a \right)^{\frac{9}{2}} b^{6}}{3072 a^{6}}+\frac{7 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{5}}{3072 a^{6} x^{2}}+\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{4}}{1536 a^{5} x^{4}}+\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{3}}{1920 a^{4} x^{6}}+\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{2}}{960 a^{3} x^{8}}+\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b}{120 a^{2} x^{10}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{12 a \,x^{12}}"," ",0,"-1/12/a/x^12*(b*x^2+a)^(11/2)+1/120/a^2*b/x^10*(b*x^2+a)^(11/2)+1/960/a^3*b^2/x^8*(b*x^2+a)^(11/2)+1/1920/a^4*b^3/x^6*(b*x^2+a)^(11/2)+1/1536/a^5*b^4/x^4*(b*x^2+a)^(11/2)+7/3072/a^6*b^5/x^2*(b*x^2+a)^(11/2)-7/3072/a^6*b^6*(b*x^2+a)^(9/2)-3/1024/a^5*b^6*(b*x^2+a)^(7/2)-21/5120/a^4*b^6*(b*x^2+a)^(5/2)-7/1024/a^3*b^6*(b*x^2+a)^(3/2)+21/1024/a^(3/2)*b^6*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-21/1024/a^2*b^6*(b*x^2+a)^(1/2)","A"
424,1,253,143,0.335000," ","int((b*x^2+a)^(9/2)/x^15,x)","-\frac{9 b^{7} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2048 a^{\frac{5}{2}}}+\frac{9 \sqrt{b \,x^{2}+a}\, b^{7}}{2048 a^{3}}+\frac{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{7}}{2048 a^{4}}+\frac{9 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{7}}{10240 a^{5}}+\frac{9 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{7}}{14336 a^{6}}+\frac{\left(b \,x^{2}+a \right)^{\frac{9}{2}} b^{7}}{2048 a^{7}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{6}}{2048 a^{7} x^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{5}}{7168 a^{6} x^{4}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{4}}{8960 a^{5} x^{6}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{3}}{4480 a^{4} x^{8}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{2}}{560 a^{3} x^{10}}+\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} b}{56 a^{2} x^{12}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{14 a \,x^{14}}"," ",0,"-1/14/a/x^14*(b*x^2+a)^(11/2)+1/56/a^2*b/x^12*(b*x^2+a)^(11/2)-1/560/a^3*b^2/x^10*(b*x^2+a)^(11/2)-1/4480/a^4*b^3/x^8*(b*x^2+a)^(11/2)-1/8960/a^5*b^4/x^6*(b*x^2+a)^(11/2)-1/7168/a^6*b^5/x^4*(b*x^2+a)^(11/2)-1/2048/a^7*b^6/x^2*(b*x^2+a)^(11/2)+1/2048/a^7*b^7*(b*x^2+a)^(9/2)+9/14336/a^6*b^7*(b*x^2+a)^(7/2)+9/10240/a^5*b^7*(b*x^2+a)^(5/2)+3/2048/a^4*b^7*(b*x^2+a)^(3/2)-9/2048/a^(5/2)*b^7*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+9/2048/a^3*b^7*(b*x^2+a)^(1/2)","A"
425,1,169,162,0.013000," ","int(x^6*(b*x^2+a)^(9/2),x)","-\frac{45 a^{8} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{32768 b^{\frac{7}{2}}}-\frac{45 \sqrt{b \,x^{2}+a}\, a^{7} x}{32768 b^{3}}-\frac{15 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{6} x}{16384 b^{3}}+\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} x^{5}}{16 b}-\frac{3 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{5} x}{4096 b^{3}}-\frac{9 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{4} x}{14336 b^{3}}-\frac{5 \left(b \,x^{2}+a \right)^{\frac{11}{2}} a \,x^{3}}{224 b^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{9}{2}} a^{3} x}{1792 b^{3}}+\frac{5 \left(b \,x^{2}+a \right)^{\frac{11}{2}} a^{2} x}{896 b^{3}}"," ",0,"1/16*x^5*(b*x^2+a)^(11/2)/b-5/224*a/b^2*x^3*(b*x^2+a)^(11/2)+5/896*a^2/b^3*x*(b*x^2+a)^(11/2)-1/1792*a^3/b^3*x*(b*x^2+a)^(9/2)-9/14336*a^4/b^3*x*(b*x^2+a)^(7/2)-3/4096*a^5/b^3*x*(b*x^2+a)^(5/2)-15/16384*a^6/b^3*x*(b*x^2+a)^(3/2)-45/32768*a^7*x*(b*x^2+a)^(1/2)/b^3-45/32768*a^8/b^(7/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
426,1,149,142,0.009000," ","int(x^4*(b*x^2+a)^(9/2),x)","\frac{9 a^{7} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2048 b^{\frac{5}{2}}}+\frac{9 \sqrt{b \,x^{2}+a}\, a^{6} x}{2048 b^{2}}+\frac{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{5} x}{1024 b^{2}}+\frac{3 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{4} x}{1280 b^{2}}+\frac{9 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{3} x}{4480 b^{2}}+\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} x^{3}}{14 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{9}{2}} a^{2} x}{560 b^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} a x}{56 b^{2}}"," ",0,"1/14*x^3*(b*x^2+a)^(11/2)/b-1/56*a/b^2*x*(b*x^2+a)^(11/2)+1/560*a^2/b^2*x*(b*x^2+a)^(9/2)+9/4480*a^3/b^2*x*(b*x^2+a)^(7/2)+3/1280*a^4/b^2*x*(b*x^2+a)^(5/2)+3/1024*a^5/b^2*x*(b*x^2+a)^(3/2)+9/2048*a^6*x*(b*x^2+a)^(1/2)/b^2+9/2048*a^7/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
427,1,129,122,0.007000," ","int(x^2*(b*x^2+a)^(9/2),x)","-\frac{21 a^{6} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{1024 b^{\frac{3}{2}}}-\frac{21 \sqrt{b \,x^{2}+a}\, a^{5} x}{1024 b}-\frac{7 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{4} x}{512 b}-\frac{7 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{3} x}{640 b}-\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{2} x}{320 b}-\frac{\left(b \,x^{2}+a \right)^{\frac{9}{2}} a x}{120 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} x}{12 b}"," ",0,"1/12*x*(b*x^2+a)^(11/2)/b-1/120*a/b*x*(b*x^2+a)^(9/2)-3/320*a^2/b*x*(b*x^2+a)^(7/2)-7/640*a^3/b*x*(b*x^2+a)^(5/2)-7/512*a^4/b*x*(b*x^2+a)^(3/2)-21/1024*a^5*x*(b*x^2+a)^(1/2)/b-21/1024*a^6/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
428,1,96,94,0.002000," ","int((b*x^2+a)^(9/2),x)","\frac{63 a^{5} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{256 \sqrt{b}}+\frac{63 \sqrt{b \,x^{2}+a}\, a^{4} x}{256}+\frac{21 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{3} x}{128}+\frac{21 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{2} x}{160}+\frac{9 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a x}{80}+\frac{\left(b \,x^{2}+a \right)^{\frac{9}{2}} x}{10}"," ",0,"1/10*x*(b*x^2+a)^(9/2)+9/80*a*x*(b*x^2+a)^(7/2)+21/160*a^2*x*(b*x^2+a)^(5/2)+21/128*a^3*x*(b*x^2+a)^(3/2)+63/256*a^4*x*(b*x^2+a)^(1/2)+63/256*a^5/b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
429,1,117,97,0.005000," ","int((b*x^2+a)^(9/2)/x^2,x)","\frac{315 a^{4} \sqrt{b}\, \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{128}+\frac{315 \sqrt{b \,x^{2}+a}\, a^{3} b x}{128}+\frac{105 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2} b x}{64}+\frac{21 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a b x}{16}+\frac{9 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b x}{8}+\frac{\left(b \,x^{2}+a \right)^{\frac{9}{2}} b x}{a}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{a x}"," ",0,"-1/a/x*(b*x^2+a)^(11/2)+1/a*b*x*(b*x^2+a)^(9/2)+9/8*b*x*(b*x^2+a)^(7/2)+21/16*a*b*x*(b*x^2+a)^(5/2)+105/64*a^2*b*x*(b*x^2+a)^(3/2)+315/128*a^3*b*x*(b*x^2+a)^(1/2)+315/128*a^4*b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
430,1,146,102,0.008000," ","int((b*x^2+a)^(9/2)/x^4,x)","\frac{105 a^{3} b^{\frac{3}{2}} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{16}+\frac{105 \sqrt{b \,x^{2}+a}\, a^{2} b^{2} x}{16}+\frac{35 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a \,b^{2} x}{8}+\frac{7 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2} x}{2}+\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2} x}{a}+\frac{8 \left(b \,x^{2}+a \right)^{\frac{9}{2}} b^{2} x}{3 a^{2}}-\frac{8 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b}{3 a^{2} x}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{3 a \,x^{3}}"," ",0,"-1/3/a/x^3*(b*x^2+a)^(11/2)-8/3/a^2*b/x*(b*x^2+a)^(11/2)+8/3/a^2*b^2*x*(b*x^2+a)^(9/2)+3/a*b^2*x*(b*x^2+a)^(7/2)+7/2*b^2*x*(b*x^2+a)^(5/2)+35/8*a*b^2*x*(b*x^2+a)^(3/2)+105/16*a^2*b^2*x*(b*x^2+a)^(1/2)+105/16*a^3*b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
431,1,166,101,0.010000," ","int((b*x^2+a)^(9/2)/x^6,x)","\frac{63 a^{2} b^{\frac{5}{2}} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8}+\frac{63 \sqrt{b \,x^{2}+a}\, a \,b^{3} x}{8}+\frac{21 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3} x}{4}+\frac{21 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3} x}{5 a}+\frac{18 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3} x}{5 a^{2}}+\frac{16 \left(b \,x^{2}+a \right)^{\frac{9}{2}} b^{3} x}{5 a^{3}}-\frac{16 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{2}}{5 a^{3} x}-\frac{2 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b}{5 a^{2} x^{3}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{5 a \,x^{5}}"," ",0,"-1/5/a/x^5*(b*x^2+a)^(11/2)-2/5/a^2*b/x^3*(b*x^2+a)^(11/2)-16/5/a^3*b^2/x*(b*x^2+a)^(11/2)+16/5/a^3*b^3*x*(b*x^2+a)^(9/2)+18/5/a^2*b^3*x*(b*x^2+a)^(7/2)+21/5/a*b^3*x*(b*x^2+a)^(5/2)+21/4*b^3*x*(b*x^2+a)^(3/2)+63/8*a*b^3*x*(b*x^2+a)^(1/2)+63/8*a^2*b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
432,1,186,100,0.018000," ","int((b*x^2+a)^(9/2)/x^8,x)","\frac{9 a \,b^{\frac{7}{2}} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2}+\frac{9 \sqrt{b \,x^{2}+a}\, b^{4} x}{2}+\frac{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{4} x}{a}+\frac{12 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{4} x}{5 a^{2}}+\frac{72 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{4} x}{35 a^{3}}+\frac{64 \left(b \,x^{2}+a \right)^{\frac{9}{2}} b^{4} x}{35 a^{4}}-\frac{64 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{3}}{35 a^{4} x}-\frac{8 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{2}}{35 a^{3} x^{3}}-\frac{4 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b}{35 a^{2} x^{5}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{7 a \,x^{7}}"," ",0,"-1/7/a/x^7*(b*x^2+a)^(11/2)-4/35/a^2*b/x^5*(b*x^2+a)^(11/2)-8/35/a^3*b^2/x^3*(b*x^2+a)^(11/2)-64/35/a^4*b^3/x*(b*x^2+a)^(11/2)+64/35/a^4*b^4*x*(b*x^2+a)^(9/2)+72/35/a^3*b^4*x*(b*x^2+a)^(7/2)+12/5/a^2*b^4*x*(b*x^2+a)^(5/2)+3/a*b^4*x*(b*x^2+a)^(3/2)+9/2*b^4*x*(b*x^2+a)^(1/2)+9/2*a*b^(7/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
433,1,206,100,0.034000," ","int((b*x^2+a)^(9/2)/x^10,x)","b^{\frac{9}{2}} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)+\frac{\sqrt{b \,x^{2}+a}\, b^{5} x}{a}+\frac{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{5} x}{3 a^{2}}+\frac{8 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{5} x}{15 a^{3}}+\frac{16 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{5} x}{35 a^{4}}+\frac{128 \left(b \,x^{2}+a \right)^{\frac{9}{2}} b^{5} x}{315 a^{5}}-\frac{128 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{4}}{315 a^{5} x}-\frac{16 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{3}}{315 a^{4} x^{3}}-\frac{8 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b^{2}}{315 a^{3} x^{5}}-\frac{2 \left(b \,x^{2}+a \right)^{\frac{11}{2}} b}{63 a^{2} x^{7}}-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{9 a \,x^{9}}"," ",0,"-1/9/a/x^9*(b*x^2+a)^(11/2)-2/63/a^2*b/x^7*(b*x^2+a)^(11/2)-8/315/a^3*b^2/x^5*(b*x^2+a)^(11/2)-16/315/a^4*b^3/x^3*(b*x^2+a)^(11/2)-128/315/a^5*b^4/x*(b*x^2+a)^(11/2)+128/315/a^5*b^5*x*(b*x^2+a)^(9/2)+16/35/a^4*b^5*x*(b*x^2+a)^(7/2)+8/15/a^3*b^5*x*(b*x^2+a)^(5/2)+2/3/a^2*b^5*x*(b*x^2+a)^(3/2)+1/a*b^5*x*(b*x^2+a)^(1/2)+b^(9/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","B"
434,1,18,17,0.003000," ","int((b*x^2+a)^(9/2)/x^12,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}}}{11 a \,x^{11}}"," ",0,"-1/11*(b*x^2+a)^(11/2)/a/x^11","A"
435,1,28,36,0.006000," ","int((b*x^2+a)^(9/2)/x^14,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} \left(-2 b \,x^{2}+11 a \right)}{143 a^{2} x^{13}}"," ",0,"-1/143*(b*x^2+a)^(11/2)*(-2*b*x^2+11*a)/x^13/a^2","A"
436,1,39,56,0.005000," ","int((b*x^2+a)^(9/2)/x^16,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} \left(8 b^{2} x^{4}-44 a b \,x^{2}+143 a^{2}\right)}{2145 a^{3} x^{15}}"," ",0,"-1/2145*(b*x^2+a)^(11/2)*(8*b^2*x^4-44*a*b*x^2+143*a^2)/x^15/a^3","A"
437,1,50,76,0.006000," ","int((b*x^2+a)^(9/2)/x^18,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} \left(-16 b^{3} x^{6}+88 a \,b^{2} x^{4}-286 a^{2} b \,x^{2}+715 a^{3}\right)}{12155 a^{4} x^{17}}"," ",0,"-1/12155*(b*x^2+a)^(11/2)*(-16*b^3*x^6+88*a*b^2*x^4-286*a^2*b*x^2+715*a^3)/x^17/a^4","A"
438,1,61,96,0.006000," ","int((b*x^2+a)^(9/2)/x^20,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} \left(128 b^{4} x^{8}-704 a \,b^{3} x^{6}+2288 a^{2} b^{2} x^{4}-5720 a^{3} b \,x^{2}+12155 a^{4}\right)}{230945 a^{5} x^{19}}"," ",0,"-1/230945*(b*x^2+a)^(11/2)*(128*b^4*x^8-704*a*b^3*x^6+2288*a^2*b^2*x^4-5720*a^3*b*x^2+12155*a^4)/x^19/a^5","A"
439,1,72,116,0.007000," ","int((b*x^2+a)^(9/2)/x^22,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} \left(-256 b^{5} x^{10}+1408 a \,b^{4} x^{8}-4576 a^{2} b^{3} x^{6}+11440 a^{3} b^{2} x^{4}-24310 a^{4} b \,x^{2}+46189 a^{5}\right)}{969969 a^{6} x^{21}}"," ",0,"-1/969969*(b*x^2+a)^(11/2)*(-256*b^5*x^10+1408*a*b^4*x^8-4576*a^2*b^3*x^6+11440*a^3*b^2*x^4-24310*a^4*b*x^2+46189*a^5)/x^21/a^6","A"
440,1,83,136,0.008000," ","int((b*x^2+a)^(9/2)/x^24,x)","-\frac{\left(b \,x^{2}+a \right)^{\frac{11}{2}} \left(1024 x^{12} b^{6}-5632 a \,x^{10} b^{5}+18304 a^{2} x^{8} b^{4}-45760 a^{3} x^{6} b^{3}+97240 a^{4} x^{4} b^{2}-184756 a^{5} x^{2} b +323323 a^{6}\right)}{7436429 a^{7} x^{23}}"," ",0,"-1/7436429*(b*x^2+a)^(11/2)*(1024*b^6*x^12-5632*a*b^5*x^10+18304*a^2*b^4*x^8-45760*a^3*b^3*x^6+97240*a^4*b^2*x^4-184756*a^5*b*x^2+323323*a^6)/x^23/a^7","A"
441,1,24,34,0.003000," ","int(x^5*(4*x^2+9)^(1/2),x)","\frac{\left(4 x^{2}+9\right)^{\frac{3}{2}} \left(10 x^{4}-18 x^{2}+27\right)}{280}"," ",0,"1/280*(4*x^2+9)^(3/2)*(10*x^4-18*x^2+27)","A"
442,1,46,47,0.006000," ","int(x^4*(4*x^2+9)^(1/2),x)","\frac{\left(4 x^{2}+9\right)^{\frac{3}{2}} x^{3}}{24}-\frac{9 \left(4 x^{2}+9\right)^{\frac{3}{2}} x}{128}+\frac{81 \sqrt{4 x^{2}+9}\, x}{256}+\frac{729 \arcsinh \left(\frac{2 x}{3}\right)}{512}"," ",0,"1/24*x^3*(4*x^2+9)^(3/2)-9/128*x*(4*x^2+9)^(3/2)+81/256*x*(4*x^2+9)^(1/2)+729/512*arcsinh(2/3*x)","A"
443,1,19,23,0.002000," ","int(x^3*(4*x^2+9)^(1/2),x)","\frac{\left(4 x^{2}+9\right)^{\frac{3}{2}} \left(2 x^{2}-3\right)}{40}"," ",0,"1/40*(4*x^2+9)^(3/2)*(2*x^2-3)","A"
444,1,32,33,0.004000," ","int(x^2*(4*x^2+9)^(1/2),x)","\frac{\left(4 x^{2}+9\right)^{\frac{3}{2}} x}{16}-\frac{9 \sqrt{4 x^{2}+9}\, x}{32}-\frac{81 \arcsinh \left(\frac{2 x}{3}\right)}{64}"," ",0,"1/16*(4*x^2+9)^(3/2)*x-9/32*(4*x^2+9)^(1/2)*x-81/64*arcsinh(2/3*x)","A"
445,1,12,11,0.003000," ","int((4*x^2+9)^(1/2)*x,x)","\frac{\left(4 x^{2}+9\right)^{\frac{3}{2}}}{12}"," ",0,"1/12*(4*x^2+9)^(3/2)","A"
446,1,20,19,0.003000," ","int((4*x^2+9)^(1/2),x)","\frac{\sqrt{4 x^{2}+9}\, x}{2}+\frac{9 \arcsinh \left(\frac{2 x}{3}\right)}{4}"," ",0,"9/4*arcsinh(2/3*x)+1/2*(4*x^2+9)^(1/2)*x","A"
447,1,25,24,0.005000," ","int((4*x^2+9)^(1/2)/x,x)","-3 \arctanh \left(\frac{3}{\sqrt{4 x^{2}+9}}\right)+\sqrt{4 x^{2}+9}"," ",0,"(4*x^2+9)^(1/2)-3*arctanh(3/(4*x^2+9)^(1/2))","A"
448,1,34,21,0.005000," ","int((4*x^2+9)^(1/2)/x^2,x)","\frac{4 \sqrt{4 x^{2}+9}\, x}{9}+2 \arcsinh \left(\frac{2 x}{3}\right)-\frac{\left(4 x^{2}+9\right)^{\frac{3}{2}}}{9 x}"," ",0,"-1/9/x*(4*x^2+9)^(3/2)+4/9*(4*x^2+9)^(1/2)*x+2*arcsinh(2/3*x)","A"
449,1,41,29,0.006000," ","int((4*x^2+9)^(1/2)/x^3,x)","-\frac{2 \arctanh \left(\frac{3}{\sqrt{4 x^{2}+9}}\right)}{3}-\frac{\left(4 x^{2}+9\right)^{\frac{3}{2}}}{18 x^{2}}+\frac{2 \sqrt{4 x^{2}+9}}{9}"," ",0,"-1/18/x^2*(4*x^2+9)^(3/2)+2/9*(4*x^2+9)^(1/2)-2/3*arctanh(3/(4*x^2+9)^(1/2))","A"
450,1,15,14,0.003000," ","int((4*x^2+9)^(1/2)/x^4,x)","-\frac{\left(4 x^{2}+9\right)^{\frac{3}{2}}}{27 x^{3}}"," ",0,"-1/27*(4*x^2+9)^(3/2)/x^3","A"
451,1,55,43,0.006000," ","int((4*x^2+9)^(1/2)/x^5,x)","\frac{2 \arctanh \left(\frac{3}{\sqrt{4 x^{2}+9}}\right)}{27}+\frac{\left(4 x^{2}+9\right)^{\frac{3}{2}}}{162 x^{2}}-\frac{\left(4 x^{2}+9\right)^{\frac{3}{2}}}{36 x^{4}}-\frac{2 \sqrt{4 x^{2}+9}}{81}"," ",0,"-1/36/x^4*(4*x^2+9)^(3/2)+1/162*(4*x^2+9)^(3/2)/x^2-2/81*(4*x^2+9)^(1/2)+2/27*arctanh(3/(4*x^2+9)^(1/2))","A"
452,1,34,34,0.004000," ","int(x^5*(-4*x^2+9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \left(10 x^{4}+18 x^{2}+27\right) \sqrt{-4 x^{2}+9}}{280}"," ",0,"1/280*(2*x-3)*(2*x+3)*(10*x^4+18*x^2+27)*(-4*x^2+9)^(1/2)","A"
453,1,46,47,0.006000," ","int(x^4*(-4*x^2+9)^(1/2),x)","-\frac{\left(-4 x^{2}+9\right)^{\frac{3}{2}} x^{3}}{24}-\frac{9 \left(-4 x^{2}+9\right)^{\frac{3}{2}} x}{128}+\frac{81 \sqrt{-4 x^{2}+9}\, x}{256}+\frac{729 \arcsin \left(\frac{2 x}{3}\right)}{512}"," ",0,"-1/24*x^3*(-4*x^2+9)^(3/2)-9/128*x*(-4*x^2+9)^(3/2)+81/256*x*(-4*x^2+9)^(1/2)+729/512*arcsin(2/3*x)","A"
454,1,29,23,0.005000," ","int(x^3*(-4*x^2+9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \left(2 x^{2}+3\right) \sqrt{-4 x^{2}+9}}{40}"," ",0,"1/40*(2*x-3)*(2*x+3)*(2*x^2+3)*(-4*x^2+9)^(1/2)","A"
455,1,32,33,0.006000," ","int(x^2*(-4*x^2+9)^(1/2),x)","-\frac{\left(-4 x^{2}+9\right)^{\frac{3}{2}} x}{16}+\frac{9 \sqrt{-4 x^{2}+9}\, x}{32}+\frac{81 \arcsin \left(\frac{2 x}{3}\right)}{64}"," ",0,"-1/16*(-4*x^2+9)^(3/2)*x+9/32*(-4*x^2+9)^(1/2)*x+81/64*arcsin(2/3*x)","A"
456,1,22,11,0.003000," ","int((-4*x^2+9)^(1/2)*x,x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \sqrt{-4 x^{2}+9}}{12}"," ",0,"1/12*(2*x-3)*(2*x+3)*(-4*x^2+9)^(1/2)","A"
457,1,20,19,0.003000," ","int((-4*x^2+9)^(1/2),x)","\frac{\sqrt{-4 x^{2}+9}\, x}{2}+\frac{9 \arcsin \left(\frac{2 x}{3}\right)}{4}"," ",0,"9/4*arcsin(2/3*x)+1/2*(-4*x^2+9)^(1/2)*x","A"
458,1,25,24,0.006000," ","int((-4*x^2+9)^(1/2)/x,x)","-3 \arctanh \left(\frac{3}{\sqrt{-4 x^{2}+9}}\right)+\sqrt{-4 x^{2}+9}"," ",0,"(-4*x^2+9)^(1/2)-3*arctanh(3/(-4*x^2+9)^(1/2))","A"
459,1,34,21,0.005000," ","int((-4*x^2+9)^(1/2)/x^2,x)","-\frac{4 \sqrt{-4 x^{2}+9}\, x}{9}-2 \arcsin \left(\frac{2 x}{3}\right)-\frac{\left(-4 x^{2}+9\right)^{\frac{3}{2}}}{9 x}"," ",0,"-1/9/x*(-4*x^2+9)^(3/2)-4/9*(-4*x^2+9)^(1/2)*x-2*arcsin(2/3*x)","A"
460,1,41,29,0.006000," ","int((-4*x^2+9)^(1/2)/x^3,x)","\frac{2 \arctanh \left(\frac{3}{\sqrt{-4 x^{2}+9}}\right)}{3}-\frac{\left(-4 x^{2}+9\right)^{\frac{3}{2}}}{18 x^{2}}-\frac{2 \sqrt{-4 x^{2}+9}}{9}"," ",0,"-1/18/x^2*(-4*x^2+9)^(3/2)-2/9*(-4*x^2+9)^(1/2)+2/3*arctanh(3/(-4*x^2+9)^(1/2))","A"
461,1,25,14,0.003000," ","int((-4*x^2+9)^(1/2)/x^4,x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \sqrt{-4 x^{2}+9}}{27 x^{3}}"," ",0,"1/27/x^3*(2*x-3)*(2*x+3)*(-4*x^2+9)^(1/2)","A"
462,1,55,43,0.005000," ","int((-4*x^2+9)^(1/2)/x^5,x)","\frac{2 \arctanh \left(\frac{3}{\sqrt{-4 x^{2}+9}}\right)}{27}-\frac{\left(-4 x^{2}+9\right)^{\frac{3}{2}}}{162 x^{2}}-\frac{\left(-4 x^{2}+9\right)^{\frac{3}{2}}}{36 x^{4}}-\frac{2 \sqrt{-4 x^{2}+9}}{81}"," ",0,"-1/36/x^4*(-4*x^2+9)^(3/2)-1/162*(-4*x^2+9)^(3/2)/x^2-2/81*(-4*x^2+9)^(1/2)+2/27*arctanh(3/(-4*x^2+9)^(1/2))","A"
463,1,34,34,0.006000," ","int(x^5*(4*x^2-9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \left(10 x^{4}+18 x^{2}+27\right) \sqrt{4 x^{2}-9}}{280}"," ",0,"1/280*(2*x-3)*(2*x+3)*(10*x^4+18*x^2+27)*(4*x^2-9)^(1/2)","A"
464,1,61,56,0.007000," ","int(x^4*(4*x^2-9)^(1/2),x)","\frac{\left(4 x^{2}-9\right)^{\frac{3}{2}} x^{3}}{24}+\frac{9 \left(4 x^{2}-9\right)^{\frac{3}{2}} x}{128}+\frac{81 \sqrt{4 x^{2}-9}\, x}{256}-\frac{729 \sqrt{4}\, \ln \left(\sqrt{4}\, x +\sqrt{4 x^{2}-9}\right)}{1024}"," ",0,"1/24*x^3*(4*x^2-9)^(3/2)+9/128*x*(4*x^2-9)^(3/2)+81/256*x*(4*x^2-9)^(1/2)-729/1024*ln(x*4^(1/2)+(4*x^2-9)^(1/2))*4^(1/2)","A"
465,1,29,23,0.005000," ","int(x^3*(4*x^2-9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \left(2 x^{2}+3\right) \sqrt{4 x^{2}-9}}{40}"," ",0,"1/40*(2*x-3)*(2*x+3)*(2*x^2+3)*(4*x^2-9)^(1/2)","A"
466,1,47,42,0.006000," ","int(x^2*(4*x^2-9)^(1/2),x)","\frac{\left(4 x^{2}-9\right)^{\frac{3}{2}} x}{16}+\frac{9 \sqrt{4 x^{2}-9}\, x}{32}-\frac{81 \sqrt{4}\, \ln \left(\sqrt{4}\, x +\sqrt{4 x^{2}-9}\right)}{128}"," ",0,"1/16*(4*x^2-9)^(3/2)*x+9/32*(4*x^2-9)^(1/2)*x-81/128*4^(1/2)*ln(4^(1/2)*x+(4*x^2-9)^(1/2))","A"
467,1,22,11,0.004000," ","int((4*x^2-9)^(1/2)*x,x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \sqrt{4 x^{2}-9}}{12}"," ",0,"1/12*(2*x-3)*(2*x+3)*(4*x^2-9)^(1/2)","A"
468,1,35,28,0.003000," ","int((4*x^2-9)^(1/2),x)","\frac{\sqrt{4 x^{2}-9}\, x}{2}-\frac{9 \sqrt{4}\, \ln \left(\sqrt{4}\, x +\sqrt{4 x^{2}-9}\right)}{8}"," ",0,"1/2*(4*x^2-9)^(1/2)*x-9/8*4^(1/2)*ln(4^(1/2)*x+(4*x^2-9)^(1/2))","A"
469,1,25,24,0.005000," ","int((4*x^2-9)^(1/2)/x,x)","3 \arctan \left(\frac{3}{\sqrt{4 x^{2}-9}}\right)+\sqrt{4 x^{2}-9}"," ",0,"(4*x^2-9)^(1/2)+3*arctan(3/(4*x^2-9)^(1/2))","A"
470,1,48,30,0.003000," ","int((4*x^2-9)^(1/2)/x^2,x)","-\frac{4 \sqrt{4 x^{2}-9}\, x}{9}+\sqrt{4}\, \ln \left(\sqrt{4}\, x +\sqrt{4 x^{2}-9}\right)+\frac{\left(4 x^{2}-9\right)^{\frac{3}{2}}}{9 x}"," ",0,"1/9/x*(4*x^2-9)^(3/2)-4/9*(4*x^2-9)^(1/2)*x+4^(1/2)*ln(4^(1/2)*x+(4*x^2-9)^(1/2))","A"
471,1,41,29,0.004000," ","int((4*x^2-9)^(1/2)/x^3,x)","-\frac{2 \arctan \left(\frac{3}{\sqrt{4 x^{2}-9}}\right)}{3}+\frac{\left(4 x^{2}-9\right)^{\frac{3}{2}}}{18 x^{2}}-\frac{2 \sqrt{4 x^{2}-9}}{9}"," ",0,"1/18/x^2*(4*x^2-9)^(3/2)-2/9*(4*x^2-9)^(1/2)-2/3*arctan(3/(4*x^2-9)^(1/2))","A"
472,1,25,14,0.003000," ","int((4*x^2-9)^(1/2)/x^4,x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \sqrt{4 x^{2}-9}}{27 x^{3}}"," ",0,"1/27/x^3*(2*x-3)*(2*x+3)*(4*x^2-9)^(1/2)","A"
473,1,55,43,0.005000," ","int((4*x^2-9)^(1/2)/x^5,x)","-\frac{2 \arctan \left(\frac{3}{\sqrt{4 x^{2}-9}}\right)}{27}+\frac{\left(4 x^{2}-9\right)^{\frac{3}{2}}}{162 x^{2}}+\frac{\left(4 x^{2}-9\right)^{\frac{3}{2}}}{36 x^{4}}-\frac{2 \sqrt{4 x^{2}-9}}{81}"," ",0,"1/36/x^4*(4*x^2-9)^(3/2)+1/162*(4*x^2-9)^(3/2)/x^2-2/81*(4*x^2-9)^(1/2)-2/27*arctan(3/(4*x^2-9)^(1/2))","A"
474,1,24,34,0.004000," ","int(x^5*(-4*x^2-9)^(1/2),x)","-\frac{\left(10 x^{4}-18 x^{2}+27\right) \left(-4 x^{2}-9\right)^{\frac{3}{2}}}{280}"," ",0,"-1/280*(10*x^4-18*x^2+27)*(-4*x^2-9)^(3/2)","A"
475,1,55,56,0.008000," ","int(x^4*(-4*x^2-9)^(1/2),x)","-\frac{\left(-4 x^{2}-9\right)^{\frac{3}{2}} x^{3}}{24}+\frac{9 \left(-4 x^{2}-9\right)^{\frac{3}{2}} x}{128}+\frac{81 \sqrt{-4 x^{2}-9}\, x}{256}-\frac{729 \arctan \left(\frac{2 x}{\sqrt{-4 x^{2}-9}}\right)}{512}"," ",0,"-1/24*x^3*(-4*x^2-9)^(3/2)+9/128*x*(-4*x^2-9)^(3/2)+81/256*x*(-4*x^2-9)^(1/2)-729/512*arctan(2*x/(-4*x^2-9)^(1/2))","A"
476,1,19,23,0.004000," ","int(x^3*(-4*x^2-9)^(1/2),x)","-\frac{\left(2 x^{2}-3\right) \left(-4 x^{2}-9\right)^{\frac{3}{2}}}{40}"," ",0,"-1/40*(2*x^2-3)*(-4*x^2-9)^(3/2)","A"
477,1,41,42,0.005000," ","int(x^2*(-4*x^2-9)^(1/2),x)","-\frac{\left(-4 x^{2}-9\right)^{\frac{3}{2}} x}{16}-\frac{9 \sqrt{-4 x^{2}-9}\, x}{32}+\frac{81 \arctan \left(\frac{2 x}{\sqrt{-4 x^{2}-9}}\right)}{64}"," ",0,"-1/16*(-4*x^2-9)^(3/2)*x-9/32*(-4*x^2-9)^(1/2)*x+81/64*arctan(2/(-4*x^2-9)^(1/2)*x)","A"
478,1,12,11,0.002000," ","int((-4*x^2-9)^(1/2)*x,x)","-\frac{\left(-4 x^{2}-9\right)^{\frac{3}{2}}}{12}"," ",0,"-1/12*(-4*x^2-9)^(3/2)","A"
479,1,29,28,0.003000," ","int((-4*x^2-9)^(1/2),x)","\frac{\sqrt{-4 x^{2}-9}\, x}{2}-\frac{9 \arctan \left(\frac{2 x}{\sqrt{-4 x^{2}-9}}\right)}{4}"," ",0,"-9/4*arctan(2/(-4*x^2-9)^(1/2)*x)+1/2*(-4*x^2-9)^(1/2)*x","A"
480,1,25,24,0.006000," ","int(1/x*(-4*x^2-9)^(1/2),x)","3 \arctan \left(\frac{3}{\sqrt{-4 x^{2}-9}}\right)+\sqrt{-4 x^{2}-9}"," ",0,"(-4*x^2-9)^(1/2)+3*arctan(3/(-4*x^2-9)^(1/2))","A"
481,1,43,30,0.005000," ","int((-4*x^2-9)^(1/2)/x^2,x)","\frac{4 \sqrt{-4 x^{2}-9}\, x}{9}-2 \arctan \left(\frac{2 x}{\sqrt{-4 x^{2}-9}}\right)+\frac{\left(-4 x^{2}-9\right)^{\frac{3}{2}}}{9 x}"," ",0,"1/9/x*(-4*x^2-9)^(3/2)+4/9*(-4*x^2-9)^(1/2)*x-2*arctan(2/(-4*x^2-9)^(1/2)*x)","A"
482,1,41,29,0.004000," ","int((-4*x^2-9)^(1/2)/x^3,x)","\frac{2 \arctan \left(\frac{3}{\sqrt{-4 x^{2}-9}}\right)}{3}+\frac{\left(-4 x^{2}-9\right)^{\frac{3}{2}}}{18 x^{2}}+\frac{2 \sqrt{-4 x^{2}-9}}{9}"," ",0,"1/18/x^2*(-4*x^2-9)^(3/2)+2/9*(-4*x^2-9)^(1/2)+2/3*arctan(3/(-4*x^2-9)^(1/2))","A"
483,1,15,14,0.004000," ","int((-4*x^2-9)^(1/2)/x^4,x)","\frac{\left(-4 x^{2}-9\right)^{\frac{3}{2}}}{27 x^{3}}"," ",0,"1/27*(-4*x^2-9)^(3/2)/x^3","A"
484,1,55,43,0.007000," ","int((-4*x^2-9)^(1/2)/x^5,x)","-\frac{2 \arctan \left(\frac{3}{\sqrt{-4 x^{2}-9}}\right)}{27}-\frac{\left(-4 x^{2}-9\right)^{\frac{3}{2}}}{162 x^{2}}+\frac{\left(-4 x^{2}-9\right)^{\frac{3}{2}}}{36 x^{4}}-\frac{2 \sqrt{-4 x^{2}-9}}{81}"," ",0,"1/36/x^4*(-4*x^2-9)^(3/2)-1/162*(-4*x^2-9)^(3/2)/x^2-2/81*(-4*x^2-9)^(1/2)-2/27*arctan(3/(-4*x^2-9)^(1/2))","A"
485,1,36,46,0.006000," ","int(x^5/(b*x^2+a)^(1/2),x)","\frac{\sqrt{b \,x^{2}+a}\, \left(3 b^{2} x^{4}-4 a b \,x^{2}+8 a^{2}\right)}{15 b^{3}}"," ",0,"1/15*(b*x^2+a)^(1/2)*(3*b^2*x^4-4*a*b*x^2+8*a^2)/b^3","A"
486,1,59,57,0.006000," ","int(x^4/(b*x^2+a)^(1/2),x)","\frac{\sqrt{b \,x^{2}+a}\, x^{3}}{4 b}+\frac{3 a^{2} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 b^{\frac{5}{2}}}-\frac{3 \sqrt{b \,x^{2}+a}\, a x}{8 b^{2}}"," ",0,"1/4*x^3*(b*x^2+a)^(1/2)/b-3/8*a*x*(b*x^2+a)^(1/2)/b^2+3/8*a^2/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
487,1,25,30,0.005000," ","int(x^3/(b*x^2+a)^(1/2),x)","-\frac{\sqrt{b \,x^{2}+a}\, \left(-b \,x^{2}+2 a \right)}{3 b^{2}}"," ",0,"-1/3*(b*x^2+a)^(1/2)*(-b*x^2+2*a)/b^2","A"
488,1,39,37,0.005000," ","int(x^2/(b*x^2+a)^(1/2),x)","-\frac{a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{3}{2}}}+\frac{\sqrt{b \,x^{2}+a}\, x}{2 b}"," ",0,"1/2*x*(b*x^2+a)^(1/2)/b-1/2*a/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
489,1,14,13,0.002000," ","int(x/(b*x^2+a)^(1/2),x)","\frac{\sqrt{b \,x^{2}+a}}{b}"," ",0,"(b*x^2+a)^(1/2)/b","A"
490,1,21,19,0.003000," ","int(1/(b*x^2+a)^(1/2),x)","\frac{\ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{\sqrt{b}}"," ",0,"ln(b^(1/2)*x+(b*x^2+a)^(1/2))/b^(1/2)","A"
491,1,29,19,0.005000," ","int(1/x/(b*x^2+a)^(1/2),x)","-\frac{\ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}"," ",0,"-1/a^(1/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
492,1,18,17,0.005000," ","int(1/x^2/(b*x^2+a)^(1/2),x)","-\frac{\sqrt{b \,x^{2}+a}}{a x}"," ",0,"-(b*x^2+a)^(1/2)/a/x","A"
493,1,48,38,0.005000," ","int(1/x^3/(b*x^2+a)^(1/2),x)","\frac{b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{2}+a}}{2 a \,x^{2}}"," ",0,"-1/2*(b*x^2+a)^(1/2)/a/x^2+1/2*b/a^(3/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
494,1,26,36,0.003000," ","int(1/x^4/(b*x^2+a)^(1/2),x)","-\frac{\sqrt{b \,x^{2}+a}\, \left(-2 b \,x^{2}+a \right)}{3 a^{2} x^{3}}"," ",0,"-1/3*(b*x^2+a)^(1/2)*(-2*b*x^2+a)/a^2/x^3","A"
495,1,68,58,0.005000," ","int(1/x^5/(b*x^2+a)^(1/2),x)","-\frac{3 b^{2} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}+\frac{3 \sqrt{b \,x^{2}+a}\, b}{8 a^{2} x^{2}}-\frac{\sqrt{b \,x^{2}+a}}{4 a \,x^{4}}"," ",0,"-1/4*(b*x^2+a)^(1/2)/a/x^4+3/8*b*(b*x^2+a)^(1/2)/a^2/x^2-3/8/a^(5/2)*b^2*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
496,1,36,47,0.007000," ","int(x^5/(b*x^2+a)^(3/2),x)","-\frac{-b^{2} x^{4}+4 a b \,x^{2}+8 a^{2}}{3 \sqrt{b \,x^{2}+a}\, b^{3}}"," ",0,"-1/3*(-b^2*x^4+4*a*b*x^2+8*a^2)/(b*x^2+a)^(1/2)/b^3","A"
497,1,57,54,0.008000," ","int(x^4/(b*x^2+a)^(3/2),x)","\frac{x^{3}}{2 \sqrt{b \,x^{2}+a}\, b}+\frac{3 a x}{2 \sqrt{b \,x^{2}+a}\, b^{2}}-\frac{3 a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{5}{2}}}"," ",0,"1/2*x^3/b/(b*x^2+a)^(1/2)+3/2*a/b^2*x/(b*x^2+a)^(1/2)-3/2*a/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
498,1,23,28,0.004000," ","int(x^3/(b*x^2+a)^(3/2),x)","\frac{b \,x^{2}+2 a}{\sqrt{b \,x^{2}+a}\, b^{2}}"," ",0,"(b*x^2+2*a)/(b*x^2+a)^(1/2)/b^2","A"
499,1,37,35,0.006000," ","int(x^2/(b*x^2+a)^(3/2),x)","-\frac{x}{\sqrt{b \,x^{2}+a}\, b}+\frac{\ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{3}{2}}}"," ",0,"-x/b/(b*x^2+a)^(1/2)+1/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
500,1,15,14,0.003000," ","int(x/(b*x^2+a)^(3/2),x)","-\frac{1}{\sqrt{b \,x^{2}+a}\, b}"," ",0,"-1/b/(b*x^2+a)^(1/2)","A"
501,1,15,14,0.003000," ","int(1/(b*x^2+a)^(3/2),x)","\frac{x}{\sqrt{b \,x^{2}+a}\, a}"," ",0,"x/a/(b*x^2+a)^(1/2)","A"
502,1,43,33,0.005000," ","int(1/x/(b*x^2+a)^(3/2),x)","-\frac{\ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{3}{2}}}+\frac{1}{\sqrt{b \,x^{2}+a}\, a}"," ",0,"1/a/(b*x^2+a)^(1/2)-1/a^(3/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
503,1,26,34,0.005000," ","int(1/x^2/(b*x^2+a)^(3/2),x)","-\frac{2 b \,x^{2}+a}{\sqrt{b \,x^{2}+a}\, a^{2} x}"," ",0,"-(2*b*x^2+a)/x/(b*x^2+a)^(1/2)/a^2","A"
504,1,63,53,0.006000," ","int(1/x^3/(b*x^2+a)^(3/2),x)","\frac{3 b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{5}{2}}}-\frac{3 b}{2 \sqrt{b \,x^{2}+a}\, a^{2}}-\frac{1}{2 \sqrt{b \,x^{2}+a}\, a \,x^{2}}"," ",0,"-1/2/a/x^2/(b*x^2+a)^(1/2)-3/2*b/a^2/(b*x^2+a)^(1/2)+3/2/a^(5/2)*b*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
505,1,37,54,0.007000," ","int(1/x^4/(b*x^2+a)^(3/2),x)","-\frac{-8 b^{2} x^{4}-4 a b \,x^{2}+a^{2}}{3 \sqrt{b \,x^{2}+a}\, a^{3} x^{3}}"," ",0,"-1/3*(-8*b^2*x^4-4*a*b*x^2+a^2)/x^3/(b*x^2+a)^(1/2)/a^3","A"
506,1,75,71,0.008000," ","int(x^6/(b*x^2+a)^(5/2),x)","\frac{x^{5}}{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b}+\frac{5 a \,x^{3}}{6 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{2}}+\frac{5 a x}{2 \sqrt{b \,x^{2}+a}\, b^{3}}-\frac{5 a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{7}{2}}}"," ",0,"1/2*x^5/b/(b*x^2+a)^(3/2)+5/6*a/b^2*x^3/(b*x^2+a)^(3/2)+5/2*a/b^3*x/(b*x^2+a)^(1/2)-5/2*a/b^(7/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
507,1,36,46,0.005000," ","int(x^5/(b*x^2+a)^(5/2),x)","\frac{3 b^{2} x^{4}+12 a b \,x^{2}+8 a^{2}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}"," ",0,"1/3*(3*b^2*x^4+12*a*b*x^2+8*a^2)/(b*x^2+a)^(3/2)/b^3","A"
508,1,54,52,0.008000," ","int(x^4/(b*x^2+a)^(5/2),x)","-\frac{x^{3}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b}-\frac{x}{\sqrt{b \,x^{2}+a}\, b^{2}}+\frac{\ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{5}{2}}}"," ",0,"-1/3*x^3/b/(b*x^2+a)^(3/2)-x/b^2/(b*x^2+a)^(1/2)+1/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
509,1,25,30,0.005000," ","int(x^3/(b*x^2+a)^(5/2),x)","-\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"
510,1,18,17,0.006000," ","int(x^2/(b*x^2+a)^(5/2),x)","\frac{x^{3}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a}"," ",0,"1/3*x^3/a/(b*x^2+a)^(3/2)","A"
511,1,15,14,0.003000," ","int(x/(b*x^2+a)^(5/2),x)","-\frac{1}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b}"," ",0,"-1/3/b/(b*x^2+a)^(3/2)","A"
512,1,26,31,0.003000," ","int(1/(b*x^2+a)^(5/2),x)","\frac{\left(2 b \,x^{2}+3 a \right) x}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2}}"," ",0,"1/3*x*(2*b*x^2+3*a)/(b*x^2+a)^(3/2)/a^2","A"
513,1,57,47,0.005000," ","int(1/x/(b*x^2+a)^(5/2),x)","\frac{1}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a}-\frac{\ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{5}{2}}}+\frac{1}{\sqrt{b \,x^{2}+a}\, a^{2}}"," ",0,"1/3/a/(b*x^2+a)^(3/2)+1/a^2/(b*x^2+a)^(1/2)-1/a^(5/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
514,1,39,50,0.004000," ","int(1/x^2/(b*x^2+a)^(5/2),x)","-\frac{8 b^{2} x^{4}+12 a b \,x^{2}+3 a^{2}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{3} x}"," ",0,"-1/3*(8*b^2*x^4+12*a*b*x^2+3*a^2)/x/(b*x^2+a)^(3/2)/a^3","A"
515,1,78,68,0.006000," ","int(1/x^3/(b*x^2+a)^(5/2),x)","-\frac{5 b}{6 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2}}+\frac{5 b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{7}{2}}}-\frac{5 b}{2 \sqrt{b \,x^{2}+a}\, a^{3}}-\frac{1}{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a \,x^{2}}"," ",0,"-1/2/a/x^2/(b*x^2+a)^(3/2)-5/6*b/a^2/(b*x^2+a)^(3/2)-5/2*b/a^3/(b*x^2+a)^(1/2)+5/2/a^(7/2)*b*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
516,1,48,72,0.006000," ","int(1/x^4/(b*x^2+a)^(5/2),x)","-\frac{-16 b^{3} x^{6}-24 a \,b^{2} x^{4}-6 a^{2} b \,x^{2}+a^{3}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{4} x^{3}}"," ",0,"-1/3*(-16*b^3*x^6-24*a*b^2*x^4-6*a^2*b*x^2+a^3)/x^3/(b*x^2+a)^(3/2)/a^4","A"
517,1,111,105,0.033000," ","int(x^10/(b*x^2+a)^(9/2),x)","\frac{x^{9}}{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}+\frac{9 a \,x^{7}}{14 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}+\frac{9 a \,x^{5}}{10 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}+\frac{3 a \,x^{3}}{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{4}}+\frac{9 a x}{2 \sqrt{b \,x^{2}+a}\, b^{5}}-\frac{9 a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{11}{2}}}"," ",0,"1/2*x^9/b/(b*x^2+a)^(7/2)+9/14*a/b^2*x^7/(b*x^2+a)^(7/2)+9/10*a/b^3*x^5/(b*x^2+a)^(5/2)+3/2*a/b^4*x^3/(b*x^2+a)^(3/2)+9/2*a/b^5*x/(b*x^2+a)^(1/2)-9/2*a/b^(11/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
518,1,58,80,0.007000," ","int(x^9/(b*x^2+a)^(9/2),x)","\frac{35 b^{4} x^{8}+280 a \,b^{3} x^{6}+560 a^{2} b^{2} x^{4}+448 a^{3} b \,x^{2}+128 a^{4}}{35 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{5}}"," ",0,"1/35*(35*b^4*x^8+280*a*b^3*x^6+560*a^2*b^2*x^4+448*a^3*b*x^2+128*a^4)/(b*x^2+a)^(7/2)/b^5","A"
519,1,88,86,0.015000," ","int(x^8/(b*x^2+a)^(9/2),x)","-\frac{x^{7}}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{x^{5}}{5 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}-\frac{x^{3}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}-\frac{x}{\sqrt{b \,x^{2}+a}\, b^{4}}+\frac{\ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{9}{2}}}"," ",0,"-1/7*x^7/b/(b*x^2+a)^(7/2)-1/5*x^5/b^2/(b*x^2+a)^(5/2)-1/3*x^3/b^3/(b*x^2+a)^(3/2)-x/b^4/(b*x^2+a)^(1/2)+1/b^(9/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
520,1,47,63,0.008000," ","int(x^7/(b*x^2+a)^(9/2),x)","-\frac{35 b^{3} x^{6}+70 a \,b^{2} x^{4}+56 a^{2} b \,x^{2}+16 a^{3}}{35 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{4}}"," ",0,"-1/35*(35*b^3*x^6+70*a*b^2*x^4+56*a^2*b*x^2+16*a^3)/(b*x^2+a)^(7/2)/b^4","A"
521,1,18,17,0.005000," ","int(x^6/(b*x^2+a)^(9/2),x)","\frac{x^{7}}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a}"," ",0,"1/7*x^7/a/(b*x^2+a)^(7/2)","A"
522,1,36,47,0.007000," ","int(x^5/(b*x^2+a)^(9/2),x)","-\frac{35 b^{2} x^{4}+28 a b \,x^{2}+8 a^{2}}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}"," ",0,"-1/105*(35*b^2*x^4+28*a*b*x^2+8*a^2)/(b*x^2+a)^(7/2)/b^3","A"
523,1,28,36,0.005000," ","int(x^4/(b*x^2+a)^(9/2),x)","\frac{\left(2 b \,x^{2}+7 a \right) x^{5}}{35 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{2}}"," ",0,"1/35*x^5*(2*b*x^2+7*a)/(b*x^2+a)^(7/2)/a^2","A"
524,1,25,30,0.006000," ","int(x^3/(b*x^2+a)^(9/2),x)","-\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"
525,1,39,56,0.007000," ","int(x^2/(b*x^2+a)^(9/2),x)","\frac{\left(8 b^{2} x^{4}+28 a b \,x^{2}+35 a^{2}\right) x^{3}}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{3}}"," ",0,"1/105*x^3*(8*b^2*x^4+28*a*b*x^2+35*a^2)/(b*x^2+a)^(7/2)/a^3","A"
526,1,15,14,0.004000," ","int(x/(b*x^2+a)^(9/2),x)","-\frac{1}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}"," ",0,"-1/7/b/(b*x^2+a)^(7/2)","A"
527,1,48,61,0.004000," ","int(1/(b*x^2+a)^(9/2),x)","\frac{\left(16 b^{3} x^{6}+56 a \,b^{2} x^{4}+70 a^{2} b \,x^{2}+35 a^{3}\right) x}{35 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{4}}"," ",0,"1/35*x*(16*b^3*x^6+56*a*b^2*x^4+70*a^2*b*x^2+35*a^3)/(b*x^2+a)^(7/2)/a^4","A"
528,1,85,75,0.008000," ","int(1/x/(b*x^2+a)^(9/2),x)","\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}}-\frac{\ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{9}{2}}}+\frac{1}{\sqrt{b \,x^{2}+a}\, a^{4}}"," ",0,"1/7/a/(b*x^2+a)^(7/2)+1/5/a^2/(b*x^2+a)^(5/2)+1/3/a^3/(b*x^2+a)^(3/2)+1/a^4/(b*x^2+a)^(1/2)-1/a^(9/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
529,1,61,82,0.007000," ","int(1/x^2/(b*x^2+a)^(9/2),x)","-\frac{128 b^{4} x^{8}+448 a \,b^{3} x^{6}+560 a^{2} b^{2} x^{4}+280 a^{3} b \,x^{2}+35 a^{4}}{35 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{5} x}"," ",0,"-1/35*(128*b^4*x^8+448*a*b^3*x^6+560*a^2*b^2*x^4+280*a^3*b*x^2+35*a^4)/x/(b*x^2+a)^(7/2)/a^5","A"
530,1,108,98,0.007000," ","int(1/x^3/(b*x^2+a)^(9/2),x)","-\frac{9 b}{14 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{2}}-\frac{9 b}{10 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{3}}-\frac{1}{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a \,x^{2}}-\frac{3 b}{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{4}}+\frac{9 b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{11}{2}}}-\frac{9 b}{2 \sqrt{b \,x^{2}+a}\, a^{5}}"," ",0,"-1/2/a/x^2/(b*x^2+a)^(7/2)-9/14*b/a^2/(b*x^2+a)^(7/2)-9/10*b/a^3/(b*x^2+a)^(5/2)-3/2*b/a^4/(b*x^2+a)^(3/2)-9/2*b/a^5/(b*x^2+a)^(1/2)+9/2/a^(11/2)*b*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
531,1,72,108,0.008000," ","int(1/x^4/(b*x^2+a)^(9/2),x)","-\frac{-256 b^{5} x^{10}-896 a \,b^{4} x^{8}-1120 a^{2} b^{3} x^{6}-560 a^{3} b^{2} x^{4}-70 a^{4} b \,x^{2}+7 a^{5}}{21 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{6} x^{3}}"," ",0,"-1/21*(-256*b^5*x^10-896*a*b^4*x^8-1120*a^2*b^3*x^6-560*a^3*b^2*x^4-70*a^4*b*x^2+7*a^5)/x^3/(b*x^2+a)^(7/2)/a^6","A"
532,1,24,34,0.003000," ","int(x^5/(4*x^2+9)^(1/2),x)","\frac{\sqrt{4 x^{2}+9}\, \left(2 x^{4}-6 x^{2}+27\right)}{40}"," ",0,"1/40*(4*x^2+9)^(1/2)*(2*x^4-6*x^2+27)","A"
533,1,34,33,0.006000," ","int(x^4/(4*x^2+9)^(1/2),x)","\frac{\sqrt{4 x^{2}+9}\, x^{3}}{16}-\frac{27 \sqrt{4 x^{2}+9}\, x}{128}+\frac{243 \arcsinh \left(\frac{2 x}{3}\right)}{256}"," ",0,"243/256*arcsinh(2/3*x)-27/128*(4*x^2+9)^(1/2)*x+1/16*x^3*(4*x^2+9)^(1/2)","A"
534,1,19,23,0.003000," ","int(x^3/(4*x^2+9)^(1/2),x)","\frac{\sqrt{4 x^{2}+9}\, \left(2 x^{2}-9\right)}{24}"," ",0,"1/24*(4*x^2+9)^(1/2)*(2*x^2-9)","A"
535,1,20,19,0.006000," ","int(x^2/(4*x^2+9)^(1/2),x)","\frac{\sqrt{4 x^{2}+9}\, x}{8}-\frac{9 \arcsinh \left(\frac{2 x}{3}\right)}{16}"," ",0,"-9/16*arcsinh(2/3*x)+1/8*(4*x^2+9)^(1/2)*x","A"
536,1,12,11,0.003000," ","int(x/(4*x^2+9)^(1/2),x)","\frac{\sqrt{4 x^{2}+9}}{4}"," ",0,"1/4*(4*x^2+9)^(1/2)","A"
537,1,7,6,0.002000," ","int(1/(4*x^2+9)^(1/2),x)","\frac{\arcsinh \left(\frac{2 x}{3}\right)}{2}"," ",0,"1/2*arcsinh(2/3*x)","A"
538,1,15,14,0.003000," ","int(1/x/(4*x^2+9)^(1/2),x)","-\frac{\arctanh \left(\frac{3}{\sqrt{4 x^{2}+9}}\right)}{3}"," ",0,"-1/3*arctanh(3/(4*x^2+9)^(1/2))","A"
539,1,15,14,0.003000," ","int(1/x^2/(4*x^2+9)^(1/2),x)","-\frac{\sqrt{4 x^{2}+9}}{9 x}"," ",0,"-1/9*(4*x^2+9)^(1/2)/x","A"
540,1,30,29,0.005000," ","int(1/x^3/(4*x^2+9)^(1/2),x)","\frac{2 \arctanh \left(\frac{3}{\sqrt{4 x^{2}+9}}\right)}{27}-\frac{\sqrt{4 x^{2}+9}}{18 x^{2}}"," ",0,"-1/18*(4*x^2+9)^(1/2)/x^2+2/27*arctanh(3/(4*x^2+9)^(1/2))","A"
541,1,22,29,0.004000," ","int(1/x^4/(4*x^2+9)^(1/2),x)","\frac{\sqrt{4 x^{2}+9}\, \left(8 x^{2}-9\right)}{243 x^{3}}"," ",0,"1/243*(4*x^2+9)^(1/2)*(8*x^2-9)/x^3","A"
542,1,44,43,0.005000," ","int(1/x^5/(4*x^2+9)^(1/2),x)","-\frac{2 \arctanh \left(\frac{3}{\sqrt{4 x^{2}+9}}\right)}{81}+\frac{\sqrt{4 x^{2}+9}}{54 x^{2}}-\frac{\sqrt{4 x^{2}+9}}{36 x^{4}}"," ",0,"-1/36*(4*x^2+9)^(1/2)/x^4+1/54*(4*x^2+9)^(1/2)/x^2-2/81*arctanh(3/(4*x^2+9)^(1/2))","A"
543,1,34,34,0.004000," ","int(x^5/(-4*x^2+9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \left(2 x^{4}+6 x^{2}+27\right)}{40 \sqrt{-4 x^{2}+9}}"," ",0,"1/40*(2*x-3)*(2*x+3)*(2*x^4+6*x^2+27)/(-4*x^2+9)^(1/2)","A"
544,1,34,33,0.007000," ","int(x^4/(-4*x^2+9)^(1/2),x)","-\frac{\sqrt{-4 x^{2}+9}\, x^{3}}{16}-\frac{27 \sqrt{-4 x^{2}+9}\, x}{128}+\frac{243 \arcsin \left(\frac{2 x}{3}\right)}{256}"," ",0,"243/256*arcsin(2/3*x)-27/128*(-4*x^2+9)^(1/2)*x-1/16*x^3*(-4*x^2+9)^(1/2)","A"
545,1,29,23,0.006000," ","int(x^3/(-4*x^2+9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \left(2 x^{2}+9\right)}{24 \sqrt{-4 x^{2}+9}}"," ",0,"1/24*(2*x-3)*(2*x+3)*(2*x^2+9)/(-4*x^2+9)^(1/2)","A"
546,1,20,19,0.006000," ","int(x^2/(-4*x^2+9)^(1/2),x)","-\frac{\sqrt{-4 x^{2}+9}\, x}{8}+\frac{9 \arcsin \left(\frac{2 x}{3}\right)}{16}"," ",0,"9/16*arcsin(2/3*x)-1/8*(-4*x^2+9)^(1/2)*x","A"
547,1,22,11,0.003000," ","int(x/(-4*x^2+9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right)}{4 \sqrt{-4 x^{2}+9}}"," ",0,"1/4*(2*x-3)*(2*x+3)/(-4*x^2+9)^(1/2)","A"
548,1,7,6,0.003000," ","int(1/(-4*x^2+9)^(1/2),x)","\frac{\arcsin \left(\frac{2 x}{3}\right)}{2}"," ",0,"1/2*arcsin(2/3*x)","A"
549,1,15,14,0.004000," ","int(1/x/(-4*x^2+9)^(1/2),x)","-\frac{\arctanh \left(\frac{3}{\sqrt{-4 x^{2}+9}}\right)}{3}"," ",0,"-1/3*arctanh(3/(-4*x^2+9)^(1/2))","A"
550,1,25,14,0.003000," ","int(1/x^2/(-4*x^2+9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right)}{9 \sqrt{-4 x^{2}+9}\, x}"," ",0,"1/9/x*(2*x-3)*(2*x+3)/(-4*x^2+9)^(1/2)","A"
551,1,30,29,0.006000," ","int(1/x^3/(-4*x^2+9)^(1/2),x)","-\frac{2 \arctanh \left(\frac{3}{\sqrt{-4 x^{2}+9}}\right)}{27}-\frac{\sqrt{-4 x^{2}+9}}{18 x^{2}}"," ",0,"-1/18*(-4*x^2+9)^(1/2)/x^2-2/27*arctanh(3/(-4*x^2+9)^(1/2))","A"
552,1,32,29,0.004000," ","int(1/x^4/(-4*x^2+9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \left(8 x^{2}+9\right)}{243 \sqrt{-4 x^{2}+9}\, x^{3}}"," ",0,"1/243*(2*x-3)*(2*x+3)*(8*x^2+9)/x^3/(-4*x^2+9)^(1/2)","A"
553,1,44,43,0.005000," ","int(1/x^5/(-4*x^2+9)^(1/2),x)","-\frac{2 \arctanh \left(\frac{3}{\sqrt{-4 x^{2}+9}}\right)}{81}-\frac{\sqrt{-4 x^{2}+9}}{54 x^{2}}-\frac{\sqrt{-4 x^{2}+9}}{36 x^{4}}"," ",0,"-1/36*(-4*x^2+9)^(1/2)/x^4-1/54*(-4*x^2+9)^(1/2)/x^2-2/81*arctanh(3/(-4*x^2+9)^(1/2))","A"
554,1,34,34,0.005000," ","int(x^5/(4*x^2-9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \left(2 x^{4}+6 x^{2}+27\right)}{40 \sqrt{4 x^{2}-9}}"," ",0,"1/40*(2*x-3)*(2*x+3)*(2*x^4+6*x^2+27)/(4*x^2-9)^(1/2)","A"
555,1,49,42,0.006000," ","int(x^4/(4*x^2-9)^(1/2),x)","\frac{\sqrt{4 x^{2}-9}\, x^{3}}{16}+\frac{27 \sqrt{4 x^{2}-9}\, x}{128}+\frac{243 \sqrt{4}\, \ln \left(\sqrt{4}\, x +\sqrt{4 x^{2}-9}\right)}{512}"," ",0,"1/16*x^3*(4*x^2-9)^(1/2)+27/128*(4*x^2-9)^(1/2)*x+243/512*4^(1/2)*ln(4^(1/2)*x+(4*x^2-9)^(1/2))","A"
556,1,29,23,0.004000," ","int(x^3/(4*x^2-9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \left(2 x^{2}+9\right)}{24 \sqrt{4 x^{2}-9}}"," ",0,"1/24*(2*x-3)*(2*x+3)*(2*x^2+9)/(4*x^2-9)^(1/2)","A"
557,1,35,28,0.006000," ","int(x^2/(4*x^2-9)^(1/2),x)","\frac{\sqrt{4 x^{2}-9}\, x}{8}+\frac{9 \sqrt{4}\, \ln \left(\sqrt{4}\, x +\sqrt{4 x^{2}-9}\right)}{32}"," ",0,"1/8*(4*x^2-9)^(1/2)*x+9/32*4^(1/2)*ln(4^(1/2)*x+(4*x^2-9)^(1/2))","A"
558,1,22,11,0.003000," ","int(x/(4*x^2-9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right)}{4 \sqrt{4 x^{2}-9}}"," ",0,"1/4*(2*x-3)*(2*x+3)/(4*x^2-9)^(1/2)","A"
559,1,22,15,0.002000," ","int(1/(4*x^2-9)^(1/2),x)","\frac{\sqrt{4}\, \ln \left(\sqrt{4}\, x +\sqrt{4 x^{2}-9}\right)}{4}"," ",0,"1/4*4^(1/2)*ln(4^(1/2)*x+(4*x^2-9)^(1/2))","A"
560,1,15,14,0.003000," ","int(1/x/(4*x^2-9)^(1/2),x)","-\frac{\arctan \left(\frac{3}{\sqrt{4 x^{2}-9}}\right)}{3}"," ",0,"-1/3*arctan(3/(4*x^2-9)^(1/2))","A"
561,1,25,14,0.004000," ","int(1/x^2/(4*x^2-9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right)}{9 \sqrt{4 x^{2}-9}\, x}"," ",0,"1/9/x*(2*x-3)*(2*x+3)/(4*x^2-9)^(1/2)","A"
562,1,30,29,0.006000," ","int(1/x^3/(4*x^2-9)^(1/2),x)","-\frac{2 \arctan \left(\frac{3}{\sqrt{4 x^{2}-9}}\right)}{27}+\frac{\sqrt{4 x^{2}-9}}{18 x^{2}}"," ",0,"1/18*(4*x^2-9)^(1/2)/x^2-2/27*arctan(3/(4*x^2-9)^(1/2))","A"
563,1,32,29,0.004000," ","int(1/x^4/(4*x^2-9)^(1/2),x)","\frac{\left(2 x -3\right) \left(2 x +3\right) \left(8 x^{2}+9\right)}{243 \sqrt{4 x^{2}-9}\, x^{3}}"," ",0,"1/243*(2*x-3)*(2*x+3)*(8*x^2+9)/x^3/(4*x^2-9)^(1/2)","A"
564,1,44,43,0.007000," ","int(1/x^5/(4*x^2-9)^(1/2),x)","-\frac{2 \arctan \left(\frac{3}{\sqrt{4 x^{2}-9}}\right)}{81}+\frac{\sqrt{4 x^{2}-9}}{54 x^{2}}+\frac{\sqrt{4 x^{2}-9}}{36 x^{4}}"," ",0,"1/36*(4*x^2-9)^(1/2)/x^4+1/54*(4*x^2-9)^(1/2)/x^2-2/81*arctan(3/(4*x^2-9)^(1/2))","A"
565,1,24,34,0.005000," ","int(x^5/(-4*x^2-9)^(1/2),x)","-\frac{\left(2 x^{4}-6 x^{2}+27\right) \sqrt{-4 x^{2}-9}}{40}"," ",0,"-1/40*(2*x^4-6*x^2+27)*(-4*x^2-9)^(1/2)","A"
566,1,43,42,0.005000," ","int(x^4/(-4*x^2-9)^(1/2),x)","-\frac{\sqrt{-4 x^{2}-9}\, x^{3}}{16}+\frac{27 \sqrt{-4 x^{2}-9}\, x}{128}+\frac{243 \arctan \left(\frac{2 x}{\sqrt{-4 x^{2}-9}}\right)}{256}"," ",0,"243/256*arctan(2/(-4*x^2-9)^(1/2)*x)+27/128*(-4*x^2-9)^(1/2)*x-1/16*x^3*(-4*x^2-9)^(1/2)","A"
567,1,19,23,0.004000," ","int(x^3/(-4*x^2-9)^(1/2),x)","-\frac{\left(2 x^{2}-9\right) \sqrt{-4 x^{2}-9}}{24}"," ",0,"-1/24*(2*x^2-9)*(-4*x^2-9)^(1/2)","A"
568,1,29,28,0.006000," ","int(x^2/(-4*x^2-9)^(1/2),x)","-\frac{\sqrt{-4 x^{2}-9}\, x}{8}-\frac{9 \arctan \left(\frac{2 x}{\sqrt{-4 x^{2}-9}}\right)}{16}"," ",0,"-9/16*arctan(2/(-4*x^2-9)^(1/2)*x)-1/8*(-4*x^2-9)^(1/2)*x","A"
569,1,12,11,0.003000," ","int(1/(-4*x^2-9)^(1/2)*x,x)","-\frac{\sqrt{-4 x^{2}-9}}{4}"," ",0,"-1/4*(-4*x^2-9)^(1/2)","A"
570,1,16,15,0.003000," ","int(1/(-4*x^2-9)^(1/2),x)","\frac{\arctan \left(\frac{2 x}{\sqrt{-4 x^{2}-9}}\right)}{2}"," ",0,"1/2*arctan(2/(-4*x^2-9)^(1/2)*x)","A"
571,1,15,14,0.004000," ","int(1/x/(-4*x^2-9)^(1/2),x)","-\frac{\arctan \left(\frac{3}{\sqrt{-4 x^{2}-9}}\right)}{3}"," ",0,"-1/3*arctan(3/(-4*x^2-9)^(1/2))","A"
572,1,15,14,0.003000," ","int(1/x^2/(-4*x^2-9)^(1/2),x)","\frac{\sqrt{-4 x^{2}-9}}{9 x}"," ",0,"1/9/x*(-4*x^2-9)^(1/2)","A"
573,1,30,29,0.005000," ","int(1/x^3/(-4*x^2-9)^(1/2),x)","\frac{2 \arctan \left(\frac{3}{\sqrt{-4 x^{2}-9}}\right)}{27}+\frac{\sqrt{-4 x^{2}-9}}{18 x^{2}}"," ",0,"1/18*(-4*x^2-9)^(1/2)/x^2+2/27*arctan(3/(-4*x^2-9)^(1/2))","A"
574,1,22,29,0.004000," ","int(1/x^4/(-4*x^2-9)^(1/2),x)","-\frac{\left(8 x^{2}-9\right) \sqrt{-4 x^{2}-9}}{243 x^{3}}"," ",0,"-1/243*(8*x^2-9)/x^3*(-4*x^2-9)^(1/2)","A"
575,1,44,43,0.006000," ","int(1/x^5/(-4*x^2-9)^(1/2),x)","-\frac{2 \arctan \left(\frac{3}{\sqrt{-4 x^{2}-9}}\right)}{81}-\frac{\sqrt{-4 x^{2}-9}}{54 x^{2}}+\frac{\sqrt{-4 x^{2}-9}}{36 x^{4}}"," ",0,"1/36*(-4*x^2-9)^(1/2)/x^4-1/54*(-4*x^2-9)^(1/2)/x^2-2/81*arctan(3/(-4*x^2-9)^(1/2))","A"
576,1,21,11,0.003000," ","int(1/(b*x^2+9)^(1/2),x)","\frac{\ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+9}\right)}{\sqrt{b}}"," ",0,"ln(b^(1/2)*x+(b*x^2+9)^(1/2))/b^(1/2)","A"
577,1,21,11,0.004000," ","int(1/(-b*x^2+9)^(1/2),x)","\frac{\arctan \left(\frac{\sqrt{b}\, x}{\sqrt{-b \,x^{2}+9}}\right)}{\sqrt{b}}"," ",0,"1/b^(1/2)*arctan(b^(1/2)*x/(-b*x^2+9)^(1/2))","A"
578,1,21,19,0.003000," ","int(1/(b*x^2-9)^(1/2),x)","\frac{\ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}-9}\right)}{\sqrt{b}}"," ",0,"ln(b^(1/2)*x+(b*x^2-9)^(1/2))/b^(1/2)","A"
579,1,21,20,0.003000," ","int(1/(-b*x^2-9)^(1/2),x)","\frac{\arctan \left(\frac{\sqrt{b}\, x}{\sqrt{-b \,x^{2}-9}}\right)}{\sqrt{b}}"," ",0,"arctan(x*b^(1/2)/(-b*x^2-9)^(1/2))/b^(1/2)","A"
580,1,21,13,0.005000," ","int(1/(b*x^2+Pi)^(1/2),x)","\frac{\ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+\pi}\right)}{\sqrt{b}}"," ",0,"ln(b^(1/2)*x+(b*x^2+Pi)^(1/2))/b^(1/2)","A"
581,1,21,13,0.007000," ","int(1/(-b*x^2+Pi)^(1/2),x)","\frac{\arctan \left(\frac{\sqrt{b}\, x}{\sqrt{-b \,x^{2}+\pi}}\right)}{\sqrt{b}}"," ",0,"1/b^(1/2)*arctan(b^(1/2)*x/(-b*x^2+Pi)^(1/2))","A"
582,1,23,21,0.005000," ","int(1/(b*x^2-Pi)^(1/2),x)","\frac{\ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}-\pi}\right)}{\sqrt{b}}"," ",0,"ln(b^(1/2)*x+(b*x^2-Pi)^(1/2))/b^(1/2)","A"
583,1,23,22,0.005000," ","int(1/(-b*x^2-Pi)^(1/2),x)","\frac{\arctan \left(\frac{\sqrt{b}\, x}{\sqrt{-b \,x^{2}-\pi}}\right)}{\sqrt{b}}"," ",0,"arctan(x*b^(1/2)/(-b*x^2-Pi)^(1/2))/b^(1/2)","A"
584,1,21,19,0.001000," ","int(1/(b*x^2+a)^(1/2),x)","\frac{\ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{\sqrt{b}}"," ",0,"1/b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
585,1,21,20,0.005000," ","int(1/(-b*x^2+a)^(1/2),x)","\frac{\arctan \left(\frac{\sqrt{b}\, x}{\sqrt{-b \,x^{2}+a}}\right)}{\sqrt{b}}"," ",0,"arctan(x*b^(1/2)/(-b*x^2+a)^(1/2))/b^(1/2)","A"
586,1,23,21,0.003000," ","int(1/(b*x^2-a)^(1/2),x)","\frac{\ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}-a}\right)}{\sqrt{b}}"," ",0,"ln(b^(1/2)*x+(b*x^2-a)^(1/2))/b^(1/2)","A"
587,1,23,22,0.005000," ","int(1/(-b*x^2-a)^(1/2),x)","\frac{\arctan \left(\frac{\sqrt{b}\, x}{\sqrt{-b \,x^{2}-a}}\right)}{\sqrt{b}}"," ",0,"arctan(x*b^(1/2)/(-b*x^2-a)^(1/2))/b^(1/2)","A"
588,1,15,14,0.004000," ","int(1/(a^2-x^2)^(1/2),x)","\arctan \left(\frac{x}{\sqrt{a^{2}-x^{2}}}\right)"," ",0,"arctan(x/(a^2-x^2)^(1/2))","A"
589,1,152,185,0.058000," ","int((c*x)^(7/2)*(b*x^2+a)^(1/2),x)","\frac{2 \sqrt{c x}\, \left(21 b^{4} x^{7}+27 a \,b^{3} x^{5}-4 a^{2} b^{2} x^{3}-10 a^{3} b x +5 \sqrt{-a b}\, \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{3} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) c^{3}}{231 \sqrt{b \,x^{2}+a}\, b^{3} x}"," ",0,"2/231*c^3/x*(c*x)^(1/2)/(b*x^2+a)^(1/2)*(21*x^7*b^4+5*(-a*b)^(1/2)*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-x*b/(-a*b)^(1/2))^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^3+27*x^5*a*b^3-4*x^3*a^2*b^2-10*x*a^3*b)/b^3","A"
590,1,221,315,0.028000," ","int((c*x)^(5/2)*(b*x^2+a)^(1/2),x)","-\frac{2 \sqrt{c x}\, \left(-5 b^{3} x^{6}-7 a \,b^{2} x^{4}-2 a^{2} b \,x^{2}+6 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{3} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{3} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) c^{2}}{45 \sqrt{b \,x^{2}+a}\, b^{2} x}"," ",0,"-2/45*c^2/x*(c*x)^(1/2)/(b*x^2+a)^(1/2)/b^2*(-5*b^3*x^6+6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^3-3*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^3-7*a*b^2*x^4-2*a^2*b*x^2)","A"
591,1,138,160,0.027000," ","int((c*x)^(3/2)*(b*x^2+a)^(1/2),x)","-\frac{2 \sqrt{c x}\, \left(-3 b^{3} x^{5}-5 a \,b^{2} x^{3}-2 a^{2} b x +\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, a^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) c}{21 \sqrt{b \,x^{2}+a}\, b^{2} x}"," ",0,"-2/21*c/x*(c*x)^(1/2)/(b*x^2+a)^(1/2)*(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*a^2-3*b^3*x^5-5*a*b^2*x^3-2*a^2*b*x)/b^2","A"
592,1,205,289,0.029000," ","int((c*x)^(1/2)*(b*x^2+a)^(1/2),x)","\frac{2 \sqrt{c x}\, \left(b^{2} x^{4}+a b \,x^{2}+2 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right)}{5 \sqrt{b \,x^{2}+a}\, b x}"," ",0,"2/5*(c*x)^(1/2)/(b*x^2+a)^(1/2)/b*(2*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^2-((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^2+b^2*x^4+a*b*x^2)/x","A"
593,1,119,139,0.026000," ","int((b*x^2+a)^(1/2)/(c*x)^(1/2),x)","\frac{\frac{2 b^{2} x^{3}}{3}+\frac{2 a b x}{3}+\frac{2 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, a \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{3}}{\sqrt{b \,x^{2}+a}\, \sqrt{c x}\, b}"," ",0,"2/3/(b*x^2+a)^(1/2)*(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*a+b^2*x^3+a*b*x)/(c*x)^(1/2)/b","A"
594,1,194,291,0.037000," ","int((b*x^2+a)^(1/2)/(c*x)^(3/2),x)","\frac{-2 b \,x^{2}+4 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-2 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-2 a}{\sqrt{b \,x^{2}+a}\, \sqrt{c x}\, c}"," ",0,"2*(2*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a-((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a-b*x^2-a)/(b*x^2+a)^(1/2)/c/(c*x)^(1/2)","A"
595,1,120,139,0.031000," ","int((b*x^2+a)^(1/2)/(c*x)^(5/2),x)","\frac{-\frac{2 b \,x^{2}}{3}+\frac{2 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, x \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{3}-\frac{2 a}{3}}{\sqrt{b \,x^{2}+a}\, \sqrt{c x}\, c^{2} x}"," ",0,"2/3/(b*x^2+a)^(1/2)/x*(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*x-b*x^2-a)/c^2/(c*x)^(1/2)","A"
596,1,219,317,0.034000," ","int((b*x^2+a)^(1/2)/(c*x)^(7/2),x)","\frac{-\frac{4 b^{2} x^{4}}{5}+\frac{4 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{5}-\frac{2 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{5}-\frac{6 a b \,x^{2}}{5}-\frac{2 a^{2}}{5}}{\sqrt{b \,x^{2}+a}\, \sqrt{c x}\, a \,c^{3} x^{2}}"," ",0,"2/5/x^2*(2*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b-((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b-2*b^2*x^4-3*a*b*x^2-a^2)/(b*x^2+a)^(1/2)/c^3/(c*x)^(1/2)/a","A"
597,1,163,207,0.031000," ","int((c*x)^(7/2)*(b*x^2+a)^(3/2),x)","\frac{2 \sqrt{c x}\, \left(77 b^{5} x^{9}+196 a \,b^{4} x^{7}+131 a^{2} b^{3} x^{5}-8 a^{3} b^{2} x^{3}-20 a^{4} b x +10 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, a^{4} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) c^{3}}{1155 \sqrt{b \,x^{2}+a}\, b^{3} x}"," ",0,"2/1155*c^3/x*(c*x)^(1/2)/(b*x^2+a)^(1/2)*(77*b^5*x^9+196*a*b^4*x^7+10*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*a^4+131*a^2*b^3*x^5-8*a^3*b^2*x^3-20*a^4*b*x)/b^3","A"
598,1,232,337,0.029000," ","int((c*x)^(5/2)*(b*x^2+a)^(3/2),x)","-\frac{2 \sqrt{c x}\, \left(-15 b^{4} x^{8}-40 a \,b^{3} x^{6}-29 a^{2} b^{2} x^{4}-4 a^{3} b \,x^{2}+12 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{4} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-6 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{4} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) c^{2}}{195 \sqrt{b \,x^{2}+a}\, b^{2} x}"," ",0,"-2/195*c^2/x*(c*x)^(1/2)/(b*x^2+a)^(1/2)/b^2*(-15*b^4*x^8-40*a*b^3*x^6+12*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^4-6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^4-29*a^2*b^2*x^4-4*a^3*b*x^2)","A"
599,1,150,182,0.012000," ","int((c*x)^(3/2)*(b*x^2+a)^(3/2),x)","-\frac{2 \sqrt{c x}\, \left(-7 b^{4} x^{7}-20 a \,b^{3} x^{5}-17 a^{2} b^{2} x^{3}-4 a^{3} b x +2 \sqrt{-a b}\, \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{3} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) c}{77 \sqrt{b \,x^{2}+a}\, b^{2} x}"," ",0,"-2/77*c/x*(c*x)^(1/2)/(b*x^2+a)^(1/2)*(-7*b^4*x^7+2*(-a*b)^(1/2)*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^3-20*a*b^3*x^5-17*a^2*b^2*x^3-4*a^3*b*x)/b^2","A"
600,1,218,311,0.013000," ","int((c*x)^(1/2)*(b*x^2+a)^(3/2),x)","\frac{2 \sqrt{c x}\, \left(5 b^{3} x^{6}+16 a \,b^{2} x^{4}+11 a^{2} b \,x^{2}+12 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{3} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-6 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{3} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right)}{45 \sqrt{b \,x^{2}+a}\, b x}"," ",0,"2/45*(c*x)^(1/2)/(b*x^2+a)^(1/2)/b*(5*b^3*x^6+12*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^3-6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^3+16*a*b^2*x^4+11*a^2*b*x^2)/x","A"
601,1,134,159,0.013000," ","int((b*x^2+a)^(3/2)/(c*x)^(1/2),x)","\frac{\frac{2 b^{3} x^{5}}{7}+\frac{8 a \,b^{2} x^{3}}{7}+\frac{6 a^{2} b x}{7}+\frac{4 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, a^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{7}}{\sqrt{b \,x^{2}+a}\, \sqrt{c x}\, b}"," ",0,"2/7/(b*x^2+a)^(1/2)*(2*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*a^2+b^3*x^5+4*a*b^2*x^3+3*a^2*b*x)/b/(c*x)^(1/2)","A"
602,1,208,312,0.017000," ","int((b*x^2+a)^(3/2)/(c*x)^(3/2),x)","\frac{\frac{2 b^{2} x^{4}}{5}-\frac{8 a b \,x^{2}}{5}+\frac{24 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{5}-\frac{12 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{5}-2 a^{2}}{\sqrt{b \,x^{2}+a}\, \sqrt{c x}\, c}"," ",0,"2/5*(12*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^2-6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^2+b^2*x^4-4*a*b*x^2-5*a^2)/(b*x^2+a)^(1/2)/c/(c*x)^(1/2)","A"
603,1,125,159,0.014000," ","int((b*x^2+a)^(3/2)/(c*x)^(5/2),x)","\frac{\frac{2 b^{2} x^{4}}{3}+\frac{4 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, a x \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{3}-\frac{2 a^{2}}{3}}{\sqrt{b \,x^{2}+a}\, \sqrt{c x}\, c^{2} x}"," ",0,"2/3/(b*x^2+a)^(1/2)/x*(2*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*x*a+b^2*x^4-a^2)/c^2/(c*x)^(1/2)","A"
604,1,216,311,0.018000," ","int((b*x^2+a)^(3/2)/(c*x)^(7/2),x)","\frac{-\frac{14 b^{2} x^{4}}{5}+\frac{24 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{5}-\frac{12 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{5}-\frac{16 a b \,x^{2}}{5}-\frac{2 a^{2}}{5}}{\sqrt{b \,x^{2}+a}\, \sqrt{c x}\, c^{3} x^{2}}"," ",0,"2/5/x^2*(12*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b-6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b-7*b^2*x^4-8*a*b*x^2-a^2)/(b*x^2+a)^(1/2)/c^3/(c*x)^(1/2)","A"
605,1,135,159,0.038000," ","int((b*x^2+a)^(3/2)/(c*x)^(9/2),x)","\frac{-\frac{6 b^{2} x^{4}}{7}+\frac{4 \sqrt{-a b}\, \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, b \,x^{3} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{7}-\frac{8 a b \,x^{2}}{7}-\frac{2 a^{2}}{7}}{\sqrt{b \,x^{2}+a}\, \sqrt{c x}\, c^{4} x^{3}}"," ",0,"2/7/(b*x^2+a)^(1/2)/x^3*(2*(-a*b)^(1/2)*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^3*b-3*b^2*x^4-4*a*b*x^2-a^2)/c^4/(c*x)^(1/2)","A"
606,1,234,339,0.039000," ","int((b*x^2+a)^(3/2)/(c*x)^(11/2),x)","\frac{-\frac{8 b^{3} x^{6}}{15}+\frac{8 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \,b^{2} x^{4} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{15}-\frac{4 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \,b^{2} x^{4} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{15}-\frac{46 a \,b^{2} x^{4}}{45}-\frac{32 a^{2} b \,x^{2}}{45}-\frac{2 a^{3}}{9}}{\sqrt{b \,x^{2}+a}\, \sqrt{c x}\, a \,c^{5} x^{4}}"," ",0,"2/45/x^4*(12*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^4*a*b^2-6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^4*a*b^2-12*b^3*x^6-23*a*b^2*x^4-16*a^2*b*x^2-5*a^3)/(b*x^2+a)^(1/2)/a/c^5/(c*x)^(1/2)","A"
607,1,237,100,0.063000," ","int((c*x)^(5/2)*(-2*a*x^2+3*a)^(1/2),x)","\frac{\sqrt{c x}\, \sqrt{-\left(2 x^{2}-3\right) a}\, \left(80 x^{6}-168 x^{4}+72 x^{2}+18 \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-9 \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)\right) c^{2}}{180 \left(2 x^{2}-3\right) x}"," ",0,"1/180*c^2/x*(c*x)^(1/2)*(-a*(2*x^2-3))^(1/2)*(80*x^6+18*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-x*2^(1/2)*3^(1/2))^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))-9*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-x*2^(1/2)*3^(1/2))^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))-168*x^4+72*x^2)/(2*x^2-3)","B"
608,1,133,91,0.030000," ","int((c*x)^(3/2)*(-2*a*x^2+3*a)^(1/2),x)","-\frac{\sqrt{c x}\, \sqrt{-\left(2 x^{2}-3\right) a}\, \left(-8 x^{5}+20 x^{3}-12 x +\sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)\right) c}{14 \left(2 x^{2}-3\right) x}"," ",0,"-1/14*c*(c*x)^(1/2)*(-(2*x^2-3)*a)^(1/2)*(-8*x^5+((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))+20*x^3-12*x)/x/(2*x^2-3)","A"
609,1,229,77,0.029000," ","int((c*x)^(1/2)*(-2*a*x^2+3*a)^(1/2),x)","\frac{\sqrt{c x}\, \sqrt{-\left(2 x^{2}-3\right) a}\, \left(8 x^{4}-12 x^{2}+2 \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-\sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)\right)}{10 \left(2 x^{2}-3\right) x}"," ",0,"1/10*(c*x)^(1/2)*(-(2*x^2-3)*a)^(1/2)*(2*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))-2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))+8*x^4-12*x^2)/x/(2*x^2-3)","B"
610,1,124,74,0.031000," ","int((-2*a*x^2+3*a)^(1/2)/(c*x)^(1/2),x)","-\frac{\sqrt{-\left(2 x^{2}-3\right) a}\, \left(-4 x^{3}+6 x +\sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)\right)}{3 \sqrt{c x}\, \left(2 x^{2}-3\right)}"," ",0,"-1/3*(-(2*x^2-3)*a)^(1/2)*(((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))-4*x^3+6*x)/(c*x)^(1/2)/(2*x^2-3)","A"
611,1,225,80,0.040000," ","int((-2*a*x^2+3*a)^(1/2)/(c*x)^(3/2),x)","-\frac{\sqrt{-\left(2 x^{2}-3\right) a}\, \left(12 x^{2}+2 \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-\sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-18\right)}{3 \sqrt{c x}\, \left(2 x^{2}-3\right) c}"," ",0,"-1/3*(-(2*x^2-3)*a)^(1/2)*(2*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))-2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))+12*x^2-18)/c/(c*x)^(1/2)/(2*x^2-3)","B"
612,1,129,74,0.034000," ","int((-2*a*x^2+3*a)^(1/2)/(c*x)^(5/2),x)","\frac{2 \sqrt{-\left(2 x^{2}-3\right) a}\, \left(-6 x^{2}+\sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, x \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)+9\right)}{9 \sqrt{c x}\, \left(2 x^{2}-3\right) c^{2} x}"," ",0,"2/9*(-(2*x^2-3)*a)^(1/2)*(((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))*x-6*x^2+9)/x/c^2/(c*x)^(1/2)/(2*x^2-3)","A"
613,1,141,163,0.030000," ","int((c*x)^(7/2)/(b*x^2+a)^(1/2),x)","\frac{\sqrt{c x}\, \left(6 b^{3} x^{5}-4 a \,b^{2} x^{3}-10 a^{2} b x +5 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, a^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) c^{3}}{21 \sqrt{b \,x^{2}+a}\, b^{3} x}"," ",0,"1/21*c^3/x*(c*x)^(1/2)/(b*x^2+a)^(1/2)*(5*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*a^2+6*b^3*x^5-4*a*b^2*x^3-10*a^2*b*x)/b^3","A"
614,1,210,293,0.029000," ","int((c*x)^(5/2)/(b*x^2+a)^(1/2),x)","-\frac{\sqrt{c x}\, \left(-2 b^{2} x^{4}-2 a b \,x^{2}+6 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) c^{2}}{5 \sqrt{b \,x^{2}+a}\, b^{2} x}"," ",0,"-1/5*c^2/x*(c*x)^(1/2)/(b*x^2+a)^(1/2)/b^2*(6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^2-3*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^2-2*b^2*x^4-2*a*b*x^2)","A"
615,1,125,140,0.013000," ","int((c*x)^(3/2)/(b*x^2+a)^(1/2),x)","-\frac{\sqrt{c x}\, \left(-2 b^{2} x^{3}-2 a b x +\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, a \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) c}{3 \sqrt{b \,x^{2}+a}\, b^{2} x}"," ",0,"-1/3*c/x*(c*x)^(1/2)/(b*x^2+a)^(1/2)*(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*a-2*b^2*x^3-2*a*b*x)/b^2","A"
616,1,132,268,0.014000," ","int((c*x)^(1/2)/(b*x^2+a)^(1/2),x)","\frac{\sqrt{c x}\, \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \left(2 \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-\EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) a}{\sqrt{b \,x^{2}+a}\, b x}"," ",0,"(c*x)^(1/2)/(b*x^2+a)^(1/2)*a/b*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*(2*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))-EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2)))/x","A"
617,1,104,118,0.016000," ","int(1/(c*x)^(1/2)/(b*x^2+a)^(1/2),x)","\frac{\sqrt{-a b}\, \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{\sqrt{b \,x^{2}+a}\, \sqrt{c x}\, b}"," ",0,"1/(b*x^2+a)^(1/2)*(-a*b)^(1/2)*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))/b/(c*x)^(1/2)","A"
618,1,196,296,0.017000," ","int(1/(c*x)^(3/2)/(b*x^2+a)^(1/2),x)","\frac{-2 b \,x^{2}+2 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-2 a}{\sqrt{b \,x^{2}+a}\, \sqrt{c x}\, a c}"," ",0,"(2*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a-((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a-2*b*x^2-2*a)/(b*x^2+a)^(1/2)/c/(c*x)^(1/2)/a","A"
619,1,123,142,0.016000," ","int(1/(c*x)^(5/2)/(b*x^2+a)^(1/2),x)","-\frac{2 b \,x^{2}+\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, x \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)+2 a}{3 \sqrt{b \,x^{2}+a}\, \sqrt{c x}\, a \,c^{2} x}"," ",0,"-1/3/(b*x^2+a)^(1/2)/x*(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*x+2*b*x^2+2*a)/a/c^2/(c*x)^(1/2)","A"
620,1,219,320,0.018000," ","int(1/(c*x)^(7/2)/(b*x^2+a)^(1/2),x)","-\frac{-6 b^{2} x^{4}+6 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-4 a b \,x^{2}+2 a^{2}}{5 \sqrt{b \,x^{2}+a}\, \sqrt{c x}\, a^{2} c^{3} x^{2}}"," ",0,"-1/5/x^2*(6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b-3*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b-6*b^2*x^4-4*a*b*x^2+2*a^2)/(b*x^2+a)^(1/2)/c^3/(c*x)^(1/2)/a^2","A"
621,1,128,162,0.042000," ","int((c*x)^(7/2)/(b*x^2+a)^(3/2),x)","-\frac{\sqrt{c x}\, \left(-4 b^{2} x^{3}-10 a b x +5 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, a \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) c^{3}}{6 \sqrt{b \,x^{2}+a}\, b^{3} x}"," ",0,"-1/6*c^3/x*(c*x)^(1/2)*(5*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*a-4*b^2*x^3-10*a*b*x)/(b*x^2+a)^(1/2)/b^3","A"
622,1,197,292,0.036000," ","int((c*x)^(5/2)/(b*x^2+a)^(3/2),x)","\frac{\sqrt{c x}\, \left(-2 b \,x^{2}+6 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) c^{2}}{2 \sqrt{b \,x^{2}+a}\, b^{2} x}"," ",0,"1/2*c^2/x*(c*x)^(1/2)*(6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a-3*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a-2*b*x^2)/(b*x^2+a)^(1/2)/b^2","A"
623,1,115,140,0.014000," ","int((c*x)^(3/2)/(b*x^2+a)^(3/2),x)","\frac{\sqrt{c x}\, \left(-2 b x +\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) c}{2 \sqrt{b \,x^{2}+a}\, b^{2} x}"," ",0,"1/2*c/x*(c*x)^(1/2)*(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)-2*b*x)/(b*x^2+a)^(1/2)/b^2","A"
624,1,197,292,0.013000," ","int((c*x)^(1/2)/(b*x^2+a)^(3/2),x)","-\frac{\sqrt{c x}\, \left(-2 b \,x^{2}+2 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right)}{2 \sqrt{b \,x^{2}+a}\, a b x}"," ",0,"-1/2*(c*x)^(1/2)*(2*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a-((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a-2*b*x^2)/(b*x^2+a)^(1/2)/b/x/a","A"
625,1,114,141,0.020000," ","int(1/(c*x)^(1/2)/(b*x^2+a)^(3/2),x)","\frac{2 b x +\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{2 \sqrt{b \,x^{2}+a}\, \sqrt{c x}\, a b}"," ",0,"1/2*(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)+2*b*x)/(b*x^2+a)^(1/2)/b/a/(c*x)^(1/2)","A"
626,1,197,318,0.021000," ","int(1/(c*x)^(3/2)/(b*x^2+a)^(3/2),x)","\frac{-6 b \,x^{2}+6 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-4 a}{2 \sqrt{b \,x^{2}+a}\, \sqrt{c x}\, a^{2} c}"," ",0,"1/2*(6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a-3*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a-6*b*x^2-4*a)/(b*x^2+a)^(1/2)/c/(c*x)^(1/2)/a^2","A"
627,1,124,163,0.020000," ","int(1/(c*x)^(5/2)/(b*x^2+a)^(3/2),x)","-\frac{10 b \,x^{2}+5 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, x \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)+4 a}{6 \sqrt{b \,x^{2}+a}\, \sqrt{c x}\, a^{2} c^{2} x}"," ",0,"-1/6/x*(5*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*x+10*b*x^2+4*a)/(b*x^2+a)^(1/2)/a^2/c^2/(c*x)^(1/2)","A"
628,1,219,341,0.021000," ","int(1/(c*x)^(7/2)/(b*x^2+a)^(3/2),x)","-\frac{-42 b^{2} x^{4}+42 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-21 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-28 a b \,x^{2}+4 a^{2}}{10 \sqrt{b \,x^{2}+a}\, \sqrt{c x}\, a^{3} c^{3} x^{2}}"," ",0,"-1/10/x^2*(42*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b-21*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b-42*b^2*x^4-28*a*b*x^2+4*a^2)/(b*x^2+a)^(1/2)/c^3/(c*x)^(1/2)/a^3","A"
629,1,219,162,0.042000," ","int((c*x)^(7/2)/(b*x^2+a)^(5/2),x)","\frac{\left(-14 b^{2} x^{3}+5 \sqrt{-a b}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, b \,x^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-10 a b x +5 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, a \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{c x}\, c^{3}}{12 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3} x}"," ",0,"1/12*(5*(-a*b)^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*x^2*b+5*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*a-14*b^2*x^3-10*a*b*x)*c^3/x*(c*x)^(1/2)/b^3/(b*x^2+a)^(3/2)","A"
630,1,385,318,0.041000," ","int((c*x)^(5/2)/(b*x^2+a)^(5/2),x)","-\frac{\left(-6 b^{2} x^{4}+6 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-2 a b \,x^{2}+6 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{c x}\, c^{2}}{12 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a \,b^{2} x}"," ",0,"-1/12*(6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b-3*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b+6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^2-3*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^2-6*b^2*x^4-2*a*b*x^2)*c^2/x*(c*x)^(1/2)/b^2/a/(b*x^2+a)^(3/2)","A"
631,1,218,163,0.016000," ","int((c*x)^(3/2)/(b*x^2+a)^(5/2),x)","\frac{\left(2 b^{2} x^{3}+\sqrt{-a b}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, b \,x^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-2 a b x +\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, a \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{c x}\, c}{12 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a \,b^{2} x}"," ",0,"1/12*((-a*b)^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*x^2*b+((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*a+2*b^2*x^3-2*a*b*x)*c/x*(c*x)^(1/2)/a/b^2/(b*x^2+a)^(3/2)","A"
632,1,382,316,0.016000," ","int((c*x)^(1/2)/(b*x^2+a)^(5/2),x)","-\frac{\left(-6 b^{2} x^{4}+6 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-10 a b \,x^{2}+6 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{c x}}{12 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2} b x}"," ",0,"-1/12*(6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b-3*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b+6*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^2-3*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^2-6*b^2*x^4-10*a*b*x^2)*(c*x)^(1/2)/b/a^2/x/(b*x^2+a)^(3/2)","A"
633,1,216,164,0.023000," ","int(1/(c*x)^(1/2)/(b*x^2+a)^(5/2),x)","\frac{10 b^{2} x^{3}+5 \sqrt{-a b}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, b \,x^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)+14 a b x +5 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, a \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)}{12 \sqrt{c x}\, \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2} b}"," ",0,"1/12*(5*(-a*b)^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*x^2*b+5*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*a+10*b^2*x^3+14*a*b*x)/(c*x)^(1/2)/a^2/b/(b*x^2+a)^(3/2)","A"
634,1,384,341,0.024000," ","int(1/(c*x)^(3/2)/(b*x^2+a)^(5/2),x)","\frac{-42 b^{2} x^{4}+42 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-21 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a b \,x^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-70 a b \,x^{2}+42 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-21 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-24 a^{2}}{12 \sqrt{c x}\, \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{3} c}"," ",0,"1/12*(42*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b-21*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a*b+42*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^2-21*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*a^2-42*b^2*x^4-70*a*b*x^2-24*a^2)/a^3/c/(c*x)^(1/2)/(b*x^2+a)^(3/2)","A"
635,1,227,186,0.022000," ","int(1/(c*x)^(5/2)/(b*x^2+a)^(5/2),x)","-\frac{30 b^{2} x^{4}+15 \sqrt{-a b}\, \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, b \,x^{3} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)+42 a b \,x^{2}+15 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, \sqrt{-a b}\, a x \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)+8 a^{2}}{12 \sqrt{c x}\, \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{3} c^{2} x}"," ",0,"-1/12*(15*(-a*b)^(1/2)*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^3*b+15*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*(-a*b)^(1/2)*x*a+30*b^2*x^4+42*a*b*x^2+8*a^2)/x/c^2/(c*x)^(1/2)/a^3/(b*x^2+a)^(3/2)","A"
636,1,410,364,0.024000," ","int(1/(c*x)^(7/2)/(b*x^2+a)^(5/2),x)","-\frac{-462 b^{3} x^{6}+462 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \,b^{2} x^{4} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-231 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a \,b^{2} x^{4} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-770 a \,b^{2} x^{4}+462 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} b \,x^{2} \EllipticE \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-231 \sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{2}\, \sqrt{\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}}\, \sqrt{-\frac{b x}{\sqrt{-a b}}}\, a^{2} b \,x^{2} \EllipticF \left(\sqrt{\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}}, \frac{\sqrt{2}}{2}\right)-264 a^{2} b \,x^{2}+24 a^{3}}{60 \sqrt{c x}\, \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{4} c^{3} x^{2}}"," ",0,"-1/60*(462*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^4*a*b^2-231*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^4*a*b^2+462*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticE(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a^2*b-231*((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*2^(1/2)*((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2)*(-1/(-a*b)^(1/2)*b*x)^(1/2)*EllipticF(((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))^(1/2),1/2*2^(1/2))*x^2*a^2*b-462*b^3*x^6-770*a*b^2*x^4-264*a^2*b*x^2+24*a^3)/x^2/a^4/c^3/(c*x)^(1/2)/(b*x^2+a)^(3/2)","A"
637,1,235,83,0.039000," ","int((c*x)^(5/2)/(-2*a*x^2+3*a)^(1/2),x)","\frac{\sqrt{c x}\, \sqrt{-\left(2 x^{2}-3\right) a}\, \left(-16 x^{4}+24 x^{2}+6 \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)\right) c^{2}}{40 \left(2 x^{2}-3\right) a x}"," ",0,"1/40*c^2/x*(c*x)^(1/2)*(-(2*x^2-3)*a)^(1/2)/a*(6*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))-3*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))-16*x^4+24*x^2)/(2*x^2-3)","B"
638,1,131,71,0.033000," ","int((c*x)^(3/2)/(-2*a*x^2+3*a)^(1/2),x)","-\frac{\sqrt{c x}\, \sqrt{-\left(2 x^{2}-3\right) a}\, \left(8 x^{3}-12 x +\sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)\right) c}{12 \left(2 x^{2}-3\right) a x}"," ",0,"-1/12*c*(c*x)^(1/2)*(-(2*x^2-3)*a)^(1/2)*(((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))+8*x^3-12*x)/x/a/(2*x^2-3)","A"
639,1,165,53,0.017000," ","int((c*x)^(1/2)/(-2*a*x^2+3*a)^(1/2),x)","\frac{\sqrt{c x}\, \sqrt{-\left(2 x^{2}-3\right) a}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \left(2 \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-\EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)\right)}{12 \left(2 x^{2}-3\right) a x}"," ",0,"1/12*(c*x)^(1/2)*(-(2*x^2-3)*a)^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*(2*EllipticE(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))-EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2)))/x/a/(2*x^2-3)","B"
640,1,117,50,0.020000," ","int(1/(c*x)^(1/2)/(-2*a*x^2+3*a)^(1/2),x)","-\frac{\sqrt{-\left(2 x^{2}-3\right) a}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)}{6 \sqrt{c x}\, \left(2 x^{2}-3\right) a}"," ",0,"-1/6*(-(2*x^2-3)*a)^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))/(c*x)^(1/2)/a/(2*x^2-3)","B"
641,1,228,85,0.023000," ","int(1/(c*x)^(3/2)/(-2*a*x^2+3*a)^(1/2),x)","-\frac{\sqrt{-\left(2 x^{2}-3\right) a}\, \left(24 x^{2}+2 \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-\sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-36\right)}{18 \sqrt{c x}\, \left(2 x^{2}-3\right) a c}"," ",0,"-1/18*(-(2*x^2-3)*a)^(1/2)*(2*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))-2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))+24*x^2-36)/c/(c*x)^(1/2)/a/(2*x^2-3)","B"
642,1,132,76,0.027000," ","int(1/(c*x)^(5/2)/(-2*a*x^2+3*a)^(1/2),x)","-\frac{\sqrt{-\left(2 x^{2}-3\right) a}\, \left(12 x^{2}+\sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, x \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-18\right)}{27 \sqrt{c x}\, \left(2 x^{2}-3\right) a \,c^{2} x}"," ",0,"-1/27*(-(2*x^2-3)*a)^(1/2)*(((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))*x+12*x^2-18)/x/a/c^2/(c*x)^(1/2)/(2*x^2-3)","A"
643,1,230,86,0.047000," ","int((c*x)^(5/2)/(-2*a*x^2+3*a)^(3/2),x)","-\frac{\sqrt{c x}\, \sqrt{-\left(2 x^{2}-3\right) a}\, \left(8 x^{2}+2 \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-\sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)\right) c^{2}}{16 \left(2 x^{2}-3\right) a^{2} x}"," ",0,"-1/16*c^2/x*(c*x)^(1/2)*(-(2*x^2-3)*a)^(1/2)*(2*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))-2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))+8*x^2)/a^2/(2*x^2-3)","B"
644,1,126,74,0.040000," ","int((c*x)^(3/2)/(-2*a*x^2+3*a)^(3/2),x)","\frac{\sqrt{c x}\, \sqrt{-\left(2 x^{2}-3\right) a}\, \left(-12 x +\sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)\right) c}{24 \left(2 x^{2}-3\right) a^{2} x}"," ",0,"1/24*c*(c*x)^(1/2)*(-(2*x^2-3)*a)^(1/2)*(((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))-12*x)/x/a^2/(2*x^2-3)","A"
645,1,227,82,0.022000," ","int((c*x)^(1/2)/(-2*a*x^2+3*a)^(3/2),x)","-\frac{\sqrt{c x}\, \sqrt{-\left(2 x^{2}-3\right) a}\, \left(24 x^{2}+2 \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-\sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)\right)}{72 \left(2 x^{2}-3\right) a^{2} x}"," ",0,"-1/72*(c*x)^(1/2)*(-(2*x^2-3)*a)^(1/2)*(2*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))-2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))+24*x^2)/a^2/x/(2*x^2-3)","B"
646,1,122,76,0.025000," ","int(1/(c*x)^(1/2)/(-2*a*x^2+3*a)^(3/2),x)","-\frac{\sqrt{-\left(2 x^{2}-3\right) a}\, \left(12 x +\sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)\right)}{36 \sqrt{c x}\, \left(2 x^{2}-3\right) a^{2}}"," ",0,"-1/36*(-(2*x^2-3)*a)^(1/2)*(((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))+12*x)/a^2/(c*x)^(1/2)/(2*x^2-3)","A"
647,1,228,113,0.026000," ","int(1/(c*x)^(3/2)/(-2*a*x^2+3*a)^(3/2),x)","-\frac{\sqrt{-\left(2 x^{2}-3\right) a}\, \left(24 x^{2}+2 \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-\sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{3}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-24\right)}{36 \sqrt{c x}\, \left(2 x^{2}-3\right) a^{2} c}"," ",0,"-1/36*(-(2*x^2-3)*a)^(1/2)*(2*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))-2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*3^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))+24*x^2-24)/a^2/c/(c*x)^(1/2)/(2*x^2-3)","B"
648,1,133,104,0.026000," ","int(1/(c*x)^(5/2)/(-2*a*x^2+3*a)^(3/2),x)","-\frac{\sqrt{-\left(2 x^{2}-3\right) a}\, \left(60 x^{2}+5 \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{\left(-2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}\, \sqrt{-\sqrt{2}\, \sqrt{3}\, x}\, x \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\left(2 x +\sqrt{2}\, \sqrt{3}\right) \sqrt{2}\, \sqrt{3}}}{6}, \frac{\sqrt{2}}{2}\right)-36\right)}{162 \sqrt{c x}\, \left(2 x^{2}-3\right) a^{2} c^{2} x}"," ",0,"-1/162*(-(2*x^2-3)*a)^(1/2)*(5*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*((-2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2)*(-2^(1/2)*3^(1/2)*x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*((2*x+2^(1/2)*3^(1/2))*2^(1/2)*3^(1/2))^(1/2),1/2*2^(1/2))*x+60*x^2-36)/x/a^2/c^2/(c*x)^(1/2)/(2*x^2-3)","A"
649,1,66,15,0.057000," ","int(1/x^(1/2)/(-a^2*x^2+1)^(1/2),x)","-\frac{\sqrt{-a^{2} x^{2}+1}\, \sqrt{a x +1}\, \sqrt{-2 a x +2}\, \sqrt{-a x}\, \EllipticF \left(\sqrt{a x +1}, \frac{\sqrt{2}}{2}\right)}{\left(a^{2} x^{2}-1\right) a \sqrt{x}}"," ",0,"-1/x^(1/2)*(-a^2*x^2+1)^(1/2)*(a*x+1)^(1/2)*(-2*a*x+2)^(1/2)*(-a*x)^(1/2)*EllipticF((a*x+1)^(1/2),1/2*2^(1/2))/a/(a^2*x^2-1)","B"
650,1,73,84,0.051000," ","int(1/x^(1/2)/(a*x^2+1)^(1/2),x)","-\frac{\sqrt{-\sqrt{-a}\, x +1}\, \sqrt{2}\, \sqrt{\sqrt{-a}\, x +1}\, \sqrt{\sqrt{-a}\, x}\, \EllipticF \left(\sqrt{-\sqrt{-a}\, x +1}, \frac{\sqrt{2}}{2}\right)}{\sqrt{a \,x^{2}+1}\, \sqrt{-a}\, \sqrt{x}}"," ",0,"-1/x^(1/2)/(a*x^2+1)^(1/2)*(-(-a)^(1/2)*x+1)^(1/2)*2^(1/2)*((-a)^(1/2)*x+1)^(1/2)*((-a)^(1/2)*x)^(1/2)*EllipticF((-(-a)^(1/2)*x+1)^(1/2),1/2*2^(1/2))/(-a)^(1/2)","A"
651,0,0,46,0.269000," ","int(x^m*(b*x^2+a)^(3/2),x)","\int \left(b \,x^{2}+a \right)^{\frac{3}{2}} x^{m}\, dx"," ",0,"int(x^m*(b*x^2+a)^(3/2),x)","F"
652,0,0,46,0.266000," ","int(x^m*(b*x^2+a)^(1/2),x)","\int \sqrt{b \,x^{2}+a}\, x^{m}\, dx"," ",0,"int(x^m*(b*x^2+a)^(1/2),x)","F"
653,0,0,46,0.260000," ","int(x^m/(b*x^2+a)^(1/2),x)","\int \frac{x^{m}}{\sqrt{b \,x^{2}+a}}\, dx"," ",0,"int(x^m/(b*x^2+a)^(1/2),x)","F"
654,0,0,44,0.263000," ","int(x^m/(b*x^2+a)^(3/2),x)","\int \frac{x^{m}}{\left(b \,x^{2}+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^m/(b*x^2+a)^(3/2),x)","F"
655,0,0,46,0.266000," ","int(x^m/(b*x^2+a)^(5/2),x)","\int \frac{x^{m}}{\left(b \,x^{2}+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^m/(b*x^2+a)^(5/2),x)","F"
656,0,0,46,0.261000," ","int(x^(m+2)/(b*x^2+a)^(1/2),x)","\int \frac{x^{m +2}}{\sqrt{b \,x^{2}+a}}\, dx"," ",0,"int(x^(m+2)/(b*x^2+a)^(1/2),x)","F"
657,0,0,46,0.264000," ","int(x^(m+1)/(b*x^2+a)^(1/2),x)","\int \frac{x^{m +1}}{\sqrt{b \,x^{2}+a}}\, dx"," ",0,"int(x^(m+1)/(b*x^2+a)^(1/2),x)","F"
658,0,0,46,0.000000," ","int(1/(b*x^2+a)^(1/2)*x^m,x)","\int \frac{x^{m}}{\sqrt{b \,x^{2}+a}}\, dx"," ",0,"int(1/(b*x^2+a)^(1/2)*x^m,x)","F"
659,0,0,42,0.268000," ","int(x^(m-1)/(b*x^2+a)^(1/2),x)","\int \frac{x^{m -1}}{\sqrt{b \,x^{2}+a}}\, dx"," ",0,"int(x^(m-1)/(b*x^2+a)^(1/2),x)","F"
660,0,0,47,0.273000," ","int(x^(m-2)/(b*x^2+a)^(1/2),x)","\int \frac{x^{m -2}}{\sqrt{b \,x^{2}+a}}\, dx"," ",0,"int(x^(m-2)/(b*x^2+a)^(1/2),x)","F"
661,1,16,15,0.013000," ","int(x^(m+1)*(a*(m+2)+b*(m+3)*x^2)/(b*x^2+a)^(1/2),x)","\sqrt{b \,x^{2}+a}\, x^{m +2}"," ",0,"x^(m+2)*(b*x^2+a)^(1/2)","A"
662,0,0,15,0.278000," ","int(a*(m+2)*x^(m+1)/(b*x^2+a)^(1/2)+b*(m+3)*x^(m+3)/(b*x^2+a)^(1/2),x)","\int \frac{\left(m +2\right) a \,x^{m +1}}{\sqrt{b \,x^{2}+a}}+\frac{\left(m +3\right) b \,x^{m +3}}{\sqrt{b \,x^{2}+a}}\, dx"," ",0,"int(a*(m+2)*x^(m+1)/(b*x^2+a)^(1/2)+b*(m+3)*x^(m+3)/(b*x^2+a)^(1/2),x)","F"
663,1,14,13,0.007000," ","int(x^(m-1)*(a*m+b*(m-1)*x^2)/(b*x^2+a)^(3/2),x)","\frac{x^{m}}{\sqrt{b \,x^{2}+a}}"," ",0,"1/(b*x^2+a)^(1/2)*x^m","A"
664,0,0,13,0.327000," ","int(-b*x^(m+1)/(b*x^2+a)^(3/2)+m*x^(m-1)/(b*x^2+a)^(1/2),x)","\int -\frac{b \,x^{m +1}}{\left(b \,x^{2}+a \right)^{\frac{3}{2}}}+\frac{m \,x^{m -1}}{\sqrt{b \,x^{2}+a}}\, dx"," ",0,"int(-b*x^(m+1)/(b*x^2+a)^(3/2)+m*x^(m-1)/(b*x^2+a)^(1/2),x)","F"
665,1,47,64,0.006000," ","int(x^7*(b*x^2+a)^(1/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{4}{3}} \left(-140 b^{3} x^{6}+126 a \,b^{2} x^{4}-108 a^{2} b \,x^{2}+81 a^{3}\right)}{3640 b^{4}}"," ",0,"-3/3640*(b*x^2+a)^(4/3)*(-140*b^3*x^6+126*a*b^2*x^4-108*a^2*b*x^2+81*a^3)/b^4","A"
666,1,36,47,0.006000," ","int(x^5*(b*x^2+a)^(1/3),x)","\frac{3 \left(b \,x^{2}+a \right)^{\frac{4}{3}} \left(14 b^{2} x^{4}-12 a b \,x^{2}+9 a^{2}\right)}{280 b^{3}}"," ",0,"3/280*(b*x^2+a)^(4/3)*(14*b^2*x^4-12*a*b*x^2+9*a^2)/b^3","A"
667,1,25,30,0.007000," ","int(x^3*(b*x^2+a)^(1/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{4}{3}} \left(-4 b \,x^{2}+3 a \right)}{56 b^{2}}"," ",0,"-3/56*(b*x^2+a)^(4/3)*(-4*b*x^2+3*a)/b^2","A"
668,1,15,14,0.005000," ","int(x*(b*x^2+a)^(1/3),x)","\frac{3 \left(b \,x^{2}+a \right)^{\frac{4}{3}}}{8 b}"," ",0,"3/8*(b*x^2+a)^(4/3)/b","A"
669,0,0,72,0.291000," ","int((b*x^2+a)^(1/3)/x,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}{x}\, dx"," ",0,"int((b*x^2+a)^(1/3)/x,x)","F"
670,0,0,78,0.316000," ","int((b*x^2+a)^(1/3)/x^3,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}{x^{3}}\, dx"," ",0,"int((b*x^2+a)^(1/3)/x^3,x)","F"
671,0,0,102,0.282000," ","int((b*x^2+a)^(1/3)/x^5,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}{x^{5}}\, dx"," ",0,"int((b*x^2+a)^(1/3)/x^5,x)","F"
672,0,0,249,0.293000," ","int(x^4*(b*x^2+a)^(1/3),x)","\int \left(b \,x^{2}+a \right)^{\frac{1}{3}} x^{4}\, dx"," ",0,"int(x^4*(b*x^2+a)^(1/3),x)","F"
673,0,0,229,0.281000," ","int(x^2*(b*x^2+a)^(1/3),x)","\int \left(b \,x^{2}+a \right)^{\frac{1}{3}} x^{2}\, dx"," ",0,"int(x^2*(b*x^2+a)^(1/3),x)","F"
674,0,0,209,0.299000," ","int((b*x^2+a)^(1/3),x)","\int \left(b \,x^{2}+a \right)^{\frac{1}{3}}\, dx"," ",0,"int((b*x^2+a)^(1/3),x)","F"
675,0,0,207,0.283000," ","int((b*x^2+a)^(1/3)/x^2,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}{x^{2}}\, dx"," ",0,"int((b*x^2+a)^(1/3)/x^2,x)","F"
676,0,0,229,0.296000," ","int((b*x^2+a)^(1/3)/x^4,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}{x^{4}}\, dx"," ",0,"int((b*x^2+a)^(1/3)/x^4,x)","F"
677,1,47,64,0.006000," ","int(x^7*(b*x^2+a)^(2/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{5}{3}} \left(-220 b^{3} x^{6}+180 a \,b^{2} x^{4}-135 a^{2} b \,x^{2}+81 a^{3}\right)}{6160 b^{4}}"," ",0,"-3/6160*(b*x^2+a)^(5/3)*(-220*b^3*x^6+180*a*b^2*x^4-135*a^2*b*x^2+81*a^3)/b^4","A"
678,1,36,47,0.006000," ","int(x^5*(b*x^2+a)^(2/3),x)","\frac{3 \left(b \,x^{2}+a \right)^{\frac{5}{3}} \left(20 b^{2} x^{4}-15 a b \,x^{2}+9 a^{2}\right)}{440 b^{3}}"," ",0,"3/440*(b*x^2+a)^(5/3)*(20*b^2*x^4-15*a*b*x^2+9*a^2)/b^3","A"
679,1,25,30,0.006000," ","int(x^3*(b*x^2+a)^(2/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{5}{3}} \left(-5 b \,x^{2}+3 a \right)}{80 b^{2}}"," ",0,"-3/80*(b*x^2+a)^(5/3)*(-5*b*x^2+3*a)/b^2","A"
680,1,15,14,0.003000," ","int(x*(b*x^2+a)^(2/3),x)","\frac{3 \left(b \,x^{2}+a \right)^{\frac{5}{3}}}{10 b}"," ",0,"3/10*(b*x^2+a)^(5/3)/b","A"
681,0,0,72,0.284000," ","int((b*x^2+a)^(2/3)/x,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}{x}\, dx"," ",0,"int((b*x^2+a)^(2/3)/x,x)","F"
682,0,0,78,0.287000," ","int((b*x^2+a)^(2/3)/x^3,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}{x^{3}}\, dx"," ",0,"int((b*x^2+a)^(2/3)/x^3,x)","F"
683,0,0,102,0.278000," ","int((b*x^2+a)^(2/3)/x^5,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}{x^{5}}\, dx"," ",0,"int((b*x^2+a)^(2/3)/x^5,x)","F"
684,0,0,473,0.288000," ","int(x^4*(b*x^2+a)^(2/3),x)","\int \left(b \,x^{2}+a \right)^{\frac{2}{3}} x^{4}\, dx"," ",0,"int(x^4*(b*x^2+a)^(2/3),x)","F"
685,0,0,453,0.283000," ","int(x^2*(b*x^2+a)^(2/3),x)","\int \left(b \,x^{2}+a \right)^{\frac{2}{3}} x^{2}\, dx"," ",0,"int(x^2*(b*x^2+a)^(2/3),x)","F"
686,0,0,430,0.302000," ","int((b*x^2+a)^(2/3),x)","\int \left(b \,x^{2}+a \right)^{\frac{2}{3}}\, dx"," ",0,"int((b*x^2+a)^(2/3),x)","F"
687,0,0,426,0.279000," ","int((b*x^2+a)^(2/3)/x^2,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}{x^{2}}\, dx"," ",0,"int((b*x^2+a)^(2/3)/x^2,x)","F"
688,0,0,451,0.334000," ","int((b*x^2+a)^(2/3)/x^4,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}{x^{4}}\, dx"," ",0,"int((b*x^2+a)^(2/3)/x^4,x)","F"
689,1,47,64,0.005000," ","int(x^7*(b*x^2+a)^(4/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{3}} \left(-455 b^{3} x^{6}+315 a \,b^{2} x^{4}-189 a^{2} b \,x^{2}+81 a^{3}\right)}{14560 b^{4}}"," ",0,"-3/14560*(b*x^2+a)^(7/3)*(-455*b^3*x^6+315*a*b^2*x^4-189*a^2*b*x^2+81*a^3)/b^4","A"
690,1,36,47,0.007000," ","int(x^5*(b*x^2+a)^(4/3),x)","\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{3}} \left(35 b^{2} x^{4}-21 a b \,x^{2}+9 a^{2}\right)}{910 b^{3}}"," ",0,"3/910*(b*x^2+a)^(7/3)*(35*b^2*x^4-21*a*b*x^2+9*a^2)/b^3","A"
691,1,25,30,0.006000," ","int(x^3*(b*x^2+a)^(4/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{3}} \left(-7 b \,x^{2}+3 a \right)}{140 b^{2}}"," ",0,"-3/140*(b*x^2+a)^(7/3)*(-7*b*x^2+3*a)/b^2","A"
692,1,15,14,0.002000," ","int(x*(b*x^2+a)^(4/3),x)","\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{3}}}{14 b}"," ",0,"3/14*(b*x^2+a)^(7/3)/b","A"
693,0,0,84,0.297000," ","int((b*x^2+a)^(4/3)/x,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}{x}\, dx"," ",0,"int((b*x^2+a)^(4/3)/x,x)","F"
694,0,0,89,0.295000," ","int((b*x^2+a)^(4/3)/x^3,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}{x^{3}}\, dx"," ",0,"int((b*x^2+a)^(4/3)/x^3,x)","F"
695,0,0,99,0.303000," ","int((b*x^2+a)^(4/3)/x^5,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}{x^{5}}\, dx"," ",0,"int((b*x^2+a)^(4/3)/x^5,x)","F"
696,0,0,266,0.293000," ","int(x^4*(b*x^2+a)^(4/3),x)","\int \left(b \,x^{2}+a \right)^{\frac{4}{3}} x^{4}\, dx"," ",0,"int(x^4*(b*x^2+a)^(4/3),x)","F"
697,0,0,246,0.300000," ","int(x^2*(b*x^2+a)^(4/3),x)","\int \left(b \,x^{2}+a \right)^{\frac{4}{3}} x^{2}\, dx"," ",0,"int(x^2*(b*x^2+a)^(4/3),x)","F"
698,0,0,224,0.306000," ","int((b*x^2+a)^(4/3),x)","\int \left(b \,x^{2}+a \right)^{\frac{4}{3}}\, dx"," ",0,"int((b*x^2+a)^(4/3),x)","F"
699,0,0,221,0.289000," ","int((b*x^2+a)^(4/3)/x^2,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}{x^{2}}\, dx"," ",0,"int((b*x^2+a)^(4/3)/x^2,x)","F"
700,0,0,223,0.279000," ","int((b*x^2+a)^(4/3)/x^4,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}{x^{4}}\, dx"," ",0,"int((b*x^2+a)^(4/3)/x^4,x)","F"
701,1,16,9,0.003000," ","int(x*(x^2-1)^(7/3),x)","\frac{3 \left(x +1\right) \left(x -1\right) \left(x^{2}-1\right)^{\frac{7}{3}}}{20}"," ",0,"3/20*(x+1)*(x-1)*(x^2-1)^(7/3)","A"
702,1,47,64,0.006000," ","int(x^7/(b*x^2+a)^(1/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{2}{3}} \left(-40 b^{3} x^{6}+45 a \,b^{2} x^{4}-54 a^{2} b \,x^{2}+81 a^{3}\right)}{880 b^{4}}"," ",0,"-3/880*(b*x^2+a)^(2/3)*(-40*b^3*x^6+45*a*b^2*x^4-54*a^2*b*x^2+81*a^3)/b^4","A"
703,1,36,47,0.006000," ","int(x^5/(b*x^2+a)^(1/3),x)","\frac{3 \left(b \,x^{2}+a \right)^{\frac{2}{3}} \left(5 b^{2} x^{4}-6 a b \,x^{2}+9 a^{2}\right)}{80 b^{3}}"," ",0,"3/80*(b*x^2+a)^(2/3)*(5*b^2*x^4-6*a*b*x^2+9*a^2)/b^3","A"
704,1,25,30,0.005000," ","int(x^3/(b*x^2+a)^(1/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{2}{3}} \left(-2 b \,x^{2}+3 a \right)}{20 b^{2}}"," ",0,"-3/20*(b*x^2+a)^(2/3)*(-2*b*x^2+3*a)/b^2","A"
705,1,15,14,0.003000," ","int(x/(b*x^2+a)^(1/3),x)","\frac{3 \left(b \,x^{2}+a \right)^{\frac{2}{3}}}{4 b}"," ",0,"3/4*(b*x^2+a)^(2/3)/b","A"
706,0,0,61,0.274000," ","int(1/x/(b*x^2+a)^(1/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{3}} x}\, dx"," ",0,"int(1/x/(b*x^2+a)^(1/3),x)","F"
707,0,0,81,0.277000," ","int(1/x^3/(b*x^2+a)^(1/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{3}} x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^2+a)^(1/3),x)","F"
708,0,0,105,0.273000," ","int(1/x^5/(b*x^2+a)^(1/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{3}} x^{5}}\, dx"," ",0,"int(1/x^5/(b*x^2+a)^(1/3),x)","F"
709,0,0,456,0.282000," ","int(x^4/(b*x^2+a)^(1/3),x)","\int \frac{x^{4}}{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(x^4/(b*x^2+a)^(1/3),x)","F"
710,0,0,436,0.285000," ","int(x^2/(b*x^2+a)^(1/3),x)","\int \frac{x^{2}}{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(x^2/(b*x^2+a)^(1/3),x)","F"
711,0,0,417,0.295000," ","int(1/(b*x^2+a)^(1/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*x^2+a)^(1/3),x)","F"
712,0,0,432,0.339000," ","int(1/x^2/(b*x^2+a)^(1/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{3}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^2+a)^(1/3),x)","F"
713,0,0,454,0.286000," ","int(1/x^4/(b*x^2+a)^(1/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{3}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x^2+a)^(1/3),x)","F"
714,1,47,64,0.006000," ","int(x^7/(b*x^2+a)^(2/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{1}{3}} \left(-14 b^{3} x^{6}+18 a \,b^{2} x^{4}-27 a^{2} b \,x^{2}+81 a^{3}\right)}{280 b^{4}}"," ",0,"-3/280*(b*x^2+a)^(1/3)*(-14*b^3*x^6+18*a*b^2*x^4-27*a^2*b*x^2+81*a^3)/b^4","A"
715,1,36,47,0.007000," ","int(x^5/(b*x^2+a)^(2/3),x)","\frac{3 \left(b \,x^{2}+a \right)^{\frac{1}{3}} \left(2 b^{2} x^{4}-3 a b \,x^{2}+9 a^{2}\right)}{28 b^{3}}"," ",0,"3/28*(b*x^2+a)^(1/3)*(2*b^2*x^4-3*a*b*x^2+9*a^2)/b^3","A"
716,1,25,30,0.003000," ","int(x^3/(b*x^2+a)^(2/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{1}{3}} \left(-b \,x^{2}+3 a \right)}{8 b^{2}}"," ",0,"-3/8*(b*x^2+a)^(1/3)*(-b*x^2+3*a)/b^2","A"
717,1,15,14,0.003000," ","int(x/(b*x^2+a)^(2/3),x)","\frac{3 \left(b \,x^{2}+a \right)^{\frac{1}{3}}}{2 b}"," ",0,"3/2*(b*x^2+a)^(1/3)/b","A"
718,0,0,61,0.280000," ","int(1/x/(b*x^2+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{2}{3}} x}\, dx"," ",0,"int(1/x/(b*x^2+a)^(2/3),x)","F"
719,0,0,81,0.284000," ","int(1/x^3/(b*x^2+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{2}{3}} x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^2+a)^(2/3),x)","F"
720,0,0,105,0.286000," ","int(1/x^5/(b*x^2+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{2}{3}} x^{5}}\, dx"," ",0,"int(1/x^5/(b*x^2+a)^(2/3),x)","F"
721,0,0,232,0.280000," ","int(x^4/(b*x^2+a)^(2/3),x)","\int \frac{x^{4}}{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(x^4/(b*x^2+a)^(2/3),x)","F"
722,0,0,212,0.278000," ","int(x^2/(b*x^2+a)^(2/3),x)","\int \frac{x^{2}}{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(x^2/(b*x^2+a)^(2/3),x)","F"
723,0,0,195,0.289000," ","int(1/(b*x^2+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*x^2+a)^(2/3),x)","F"
724,0,0,213,0.277000," ","int(1/x^2/(b*x^2+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{2}{3}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^2+a)^(2/3),x)","F"
725,0,0,232,0.280000," ","int(1/x^4/(b*x^2+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{2}{3}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x^2+a)^(2/3),x)","F"
726,1,47,64,0.007000," ","int(x^7/(b*x^2+a)^(4/3),x)","\frac{\frac{3}{16} b^{3} x^{6}-\frac{27}{80} a \,b^{2} x^{4}+\frac{81}{80} a^{2} b \,x^{2}+\frac{243}{80} a^{3}}{\left(b \,x^{2}+a \right)^{\frac{1}{3}} b^{4}}"," ",0,"3/80/(b*x^2+a)^(1/3)*(5*b^3*x^6-9*a*b^2*x^4+27*a^2*b*x^2+81*a^3)/b^4","A"
727,1,36,47,0.006000," ","int(x^5/(b*x^2+a)^(4/3),x)","-\frac{3 \left(-b^{2} x^{4}+3 a b \,x^{2}+9 a^{2}\right)}{10 \left(b \,x^{2}+a \right)^{\frac{1}{3}} b^{3}}"," ",0,"-3/10/(b*x^2+a)^(1/3)*(-b^2*x^4+3*a*b*x^2+9*a^2)/b^3","A"
728,1,24,30,0.005000," ","int(x^3/(b*x^2+a)^(4/3),x)","\frac{\frac{3 b \,x^{2}}{4}+\frac{9 a}{4}}{\left(b \,x^{2}+a \right)^{\frac{1}{3}} b^{2}}"," ",0,"3/4/(b*x^2+a)^(1/3)*(b*x^2+3*a)/b^2","A"
729,1,15,14,0.003000," ","int(x/(b*x^2+a)^(4/3),x)","-\frac{3}{2 \left(b \,x^{2}+a \right)^{\frac{1}{3}} b}"," ",0,"-3/2/b/(b*x^2+a)^(1/3)","A"
730,0,0,75,0.287000," ","int(1/x/(b*x^2+a)^(4/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{4}{3}} x}\, dx"," ",0,"int(1/x/(b*x^2+a)^(4/3),x)","F"
731,0,0,96,0.302000," ","int(1/x^3/(b*x^2+a)^(4/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{4}{3}} x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^2+a)^(4/3),x)","F"
732,0,0,122,0.304000," ","int(1/x^5/(b*x^2+a)^(4/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{4}{3}} x^{5}}\, dx"," ",0,"int(1/x^5/(b*x^2+a)^(4/3),x)","F"
733,0,0,453,0.299000," ","int(x^4/(b*x^2+a)^(4/3),x)","\int \frac{x^{4}}{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}\, dx"," ",0,"int(x^4/(b*x^2+a)^(4/3),x)","F"
734,0,0,435,0.286000," ","int(x^2/(b*x^2+a)^(4/3),x)","\int \frac{x^{2}}{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}\, dx"," ",0,"int(x^2/(b*x^2+a)^(4/3),x)","F"
735,0,0,435,0.305000," ","int(1/(b*x^2+a)^(4/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(b*x^2+a)^(4/3),x)","F"
736,0,0,449,0.314000," ","int(1/x^2/(b*x^2+a)^(4/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{4}{3}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^2+a)^(4/3),x)","F"
737,0,0,471,0.304000," ","int(1/x^4/(b*x^2+a)^(4/3),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{4}{3}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x^2+a)^(4/3),x)","F"
738,0,0,146,0.079000," ","int((c*x)^(13/3)*(b*x^2+a)^(1/3),x)","\int \left(c x \right)^{\frac{13}{3}} \left(b \,x^{2}+a \right)^{\frac{1}{3}}\, dx"," ",0,"int((c*x)^(13/3)*(b*x^2+a)^(1/3),x)","F"
739,0,0,121,0.041000," ","int((c*x)^(7/3)*(b*x^2+a)^(1/3),x)","\int \left(c x \right)^{\frac{7}{3}} \left(b \,x^{2}+a \right)^{\frac{1}{3}}\, dx"," ",0,"int((c*x)^(7/3)*(b*x^2+a)^(1/3),x)","F"
740,0,0,96,0.040000," ","int((c*x)^(1/3)*(b*x^2+a)^(1/3),x)","\int \left(c x \right)^{\frac{1}{3}} \left(b \,x^{2}+a \right)^{\frac{1}{3}}\, dx"," ",0,"int((c*x)^(1/3)*(b*x^2+a)^(1/3),x)","F"
741,0,0,94,0.041000," ","int((b*x^2+a)^(1/3)/(c*x)^(5/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}{\left(c x \right)^{\frac{5}{3}}}\, dx"," ",0,"int((b*x^2+a)^(1/3)/(c*x)^(5/3),x)","F"
742,1,21,22,0.003000," ","int((b*x^2+a)^(1/3)/(c*x)^(11/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{4}{3}} x}{8 \left(c x \right)^{\frac{11}{3}} a}"," ",0,"-3/8*x*(b*x^2+a)^(4/3)/a/(c*x)^(11/3)","A"
743,1,31,45,0.006000," ","int((b*x^2+a)^(1/3)/(c*x)^(17/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{4}{3}} \left(-3 b \,x^{2}+4 a \right) x}{56 \left(c x \right)^{\frac{17}{3}} a^{2}}"," ",0,"-3/56*x*(b*x^2+a)^(4/3)*(-3*b*x^2+4*a)/a^2/(c*x)^(17/3)","A"
744,1,42,67,0.006000," ","int((b*x^2+a)^(1/3)/(c*x)^(23/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{4}{3}} \left(9 b^{2} x^{4}-12 a b \,x^{2}+14 a^{2}\right) x}{280 \left(c x \right)^{\frac{23}{3}} a^{3}}"," ",0,"-3/280*x*(b*x^2+a)^(4/3)*(9*b^2*x^4-12*a*b*x^2+14*a^2)/a^3/(c*x)^(23/3)","A"
745,1,53,89,0.013000," ","int((b*x^2+a)^(1/3)/(c*x)^(29/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{4}{3}} \left(-81 b^{3} x^{6}+108 a \,b^{2} x^{4}-126 a^{2} b \,x^{2}+140 a^{3}\right) x}{3640 \left(c x \right)^{\frac{29}{3}} a^{4}}"," ",0,"-3/3640*x*(b*x^2+a)^(4/3)*(-81*b^3*x^6+108*a*b^2*x^4-126*a^2*b*x^2+140*a^3)/a^4/(c*x)^(29/3)","A"
746,0,0,472,0.046000," ","int((c*x)^(10/3)*(b*x^2+a)^(1/3),x)","\int \left(c x \right)^{\frac{10}{3}} \left(b \,x^{2}+a \right)^{\frac{1}{3}}\, dx"," ",0,"int((c*x)^(10/3)*(b*x^2+a)^(1/3),x)","F"
747,0,0,445,0.041000," ","int((c*x)^(4/3)*(b*x^2+a)^(1/3),x)","\int \left(c x \right)^{\frac{4}{3}} \left(b \,x^{2}+a \right)^{\frac{1}{3}}\, dx"," ",0,"int((c*x)^(4/3)*(b*x^2+a)^(1/3),x)","F"
748,0,0,419,0.038000," ","int((b*x^2+a)^(1/3)/(c*x)^(2/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}{\left(c x \right)^{\frac{2}{3}}}\, dx"," ",0,"int((b*x^2+a)^(1/3)/(c*x)^(2/3),x)","F"
749,0,0,424,0.045000," ","int((b*x^2+a)^(1/3)/(c*x)^(8/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}{\left(c x \right)^{\frac{8}{3}}}\, dx"," ",0,"int((b*x^2+a)^(1/3)/(c*x)^(8/3),x)","F"
750,0,0,449,0.046000," ","int((b*x^2+a)^(1/3)/(c*x)^(14/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}{\left(c x \right)^{\frac{14}{3}}}\, dx"," ",0,"int((b*x^2+a)^(1/3)/(c*x)^(14/3),x)","F"
751,0,0,46,0.065000," ","int((c*x)^(2/3)*(b*x^2+a)^(1/3),x)","\int \left(c x \right)^{\frac{2}{3}} \left(b \,x^{2}+a \right)^{\frac{1}{3}}\, dx"," ",0,"int((c*x)^(2/3)*(b*x^2+a)^(1/3),x)","F"
752,0,0,46,0.043000," ","int((b*x^2+a)^(1/3)/(c*x)^(1/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}{\left(c x \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x^2+a)^(1/3)/(c*x)^(1/3),x)","F"
753,0,0,46,0.042000," ","int((b*x^2+a)^(1/3)/(c*x)^(4/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{3}}}{\left(c x \right)^{\frac{4}{3}}}\, dx"," ",0,"int((b*x^2+a)^(1/3)/(c*x)^(4/3),x)","F"
754,0,0,168,0.039000," ","int((c*x)^(13/3)*(b*x^2+a)^(4/3),x)","\int \left(c x \right)^{\frac{13}{3}} \left(b \,x^{2}+a \right)^{\frac{4}{3}}\, dx"," ",0,"int((c*x)^(13/3)*(b*x^2+a)^(4/3),x)","F"
755,0,0,143,0.042000," ","int((c*x)^(7/3)*(b*x^2+a)^(4/3),x)","\int \left(c x \right)^{\frac{7}{3}} \left(b \,x^{2}+a \right)^{\frac{4}{3}}\, dx"," ",0,"int((c*x)^(7/3)*(b*x^2+a)^(4/3),x)","F"
756,0,0,120,0.039000," ","int((c*x)^(1/3)*(b*x^2+a)^(4/3),x)","\int \left(c x \right)^{\frac{1}{3}} \left(b \,x^{2}+a \right)^{\frac{4}{3}}\, dx"," ",0,"int((c*x)^(1/3)*(b*x^2+a)^(4/3),x)","F"
757,0,0,116,0.046000," ","int((b*x^2+a)^(4/3)/(c*x)^(5/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}{\left(c x \right)^{\frac{5}{3}}}\, dx"," ",0,"int((b*x^2+a)^(4/3)/(c*x)^(5/3),x)","F"
758,0,0,114,0.051000," ","int((b*x^2+a)^(4/3)/(c*x)^(11/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}{\left(c x \right)^{\frac{11}{3}}}\, dx"," ",0,"int((b*x^2+a)^(4/3)/(c*x)^(11/3),x)","F"
759,1,21,22,0.004000," ","int((b*x^2+a)^(4/3)/(c*x)^(17/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{3}} x}{14 \left(c x \right)^{\frac{17}{3}} a}"," ",0,"-3/14*x*(b*x^2+a)^(7/3)/a/(c*x)^(17/3)","A"
760,1,31,45,0.006000," ","int((b*x^2+a)^(4/3)/(c*x)^(23/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{3}} \left(-3 b \,x^{2}+7 a \right) x}{140 \left(c x \right)^{\frac{23}{3}} a^{2}}"," ",0,"-3/140*x*(b*x^2+a)^(7/3)*(-3*b*x^2+7*a)/a^2/(c*x)^(23/3)","A"
761,1,42,67,0.005000," ","int((b*x^2+a)^(4/3)/(c*x)^(29/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{3}} \left(9 b^{2} x^{4}-21 a b \,x^{2}+35 a^{2}\right) x}{910 \left(c x \right)^{\frac{29}{3}} a^{3}}"," ",0,"-3/910*x*(b*x^2+a)^(7/3)*(9*b^2*x^4-21*a*b*x^2+35*a^2)/a^3/(c*x)^(29/3)","A"
762,0,0,494,0.038000," ","int((c*x)^(10/3)*(b*x^2+a)^(4/3),x)","\int \left(c x \right)^{\frac{10}{3}} \left(b \,x^{2}+a \right)^{\frac{4}{3}}\, dx"," ",0,"int((c*x)^(10/3)*(b*x^2+a)^(4/3),x)","F"
763,0,0,469,0.043000," ","int((c*x)^(4/3)*(b*x^2+a)^(4/3),x)","\int \left(c x \right)^{\frac{4}{3}} \left(b \,x^{2}+a \right)^{\frac{4}{3}}\, dx"," ",0,"int((c*x)^(4/3)*(b*x^2+a)^(4/3),x)","F"
764,0,0,441,0.038000," ","int((b*x^2+a)^(4/3)/(c*x)^(2/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}{\left(c x \right)^{\frac{2}{3}}}\, dx"," ",0,"int((b*x^2+a)^(4/3)/(c*x)^(2/3),x)","F"
765,0,0,441,0.046000," ","int((b*x^2+a)^(4/3)/(c*x)^(8/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}{\left(c x \right)^{\frac{8}{3}}}\, dx"," ",0,"int((b*x^2+a)^(4/3)/(c*x)^(8/3),x)","F"
766,0,0,446,0.046000," ","int((b*x^2+a)^(4/3)/(c*x)^(14/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}{\left(c x \right)^{\frac{14}{3}}}\, dx"," ",0,"int((b*x^2+a)^(4/3)/(c*x)^(14/3),x)","F"
767,0,0,471,0.054000," ","int((b*x^2+a)^(4/3)/(c*x)^(20/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}{\left(c x \right)^{\frac{20}{3}}}\, dx"," ",0,"int((b*x^2+a)^(4/3)/(c*x)^(20/3),x)","F"
768,0,0,47,0.038000," ","int((c*x)^(2/3)*(b*x^2+a)^(4/3),x)","\int \left(c x \right)^{\frac{2}{3}} \left(b \,x^{2}+a \right)^{\frac{4}{3}}\, dx"," ",0,"int((c*x)^(2/3)*(b*x^2+a)^(4/3),x)","F"
769,0,0,47,0.036000," ","int((b*x^2+a)^(4/3)/(c*x)^(1/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}{\left(c x \right)^{\frac{1}{3}}}\, dx"," ",0,"int((b*x^2+a)^(4/3)/(c*x)^(1/3),x)","F"
770,0,0,47,0.043000," ","int((b*x^2+a)^(4/3)/(c*x)^(4/3),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{4}{3}}}{\left(c x \right)^{\frac{4}{3}}}\, dx"," ",0,"int((b*x^2+a)^(4/3)/(c*x)^(4/3),x)","F"
771,0,0,149,0.045000," ","int((c*x)^(19/3)/(b*x^2+a)^(2/3),x)","\int \frac{\left(c x \right)^{\frac{19}{3}}}{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int((c*x)^(19/3)/(b*x^2+a)^(2/3),x)","F"
772,0,0,124,0.042000," ","int((c*x)^(13/3)/(b*x^2+a)^(2/3),x)","\int \frac{\left(c x \right)^{\frac{13}{3}}}{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int((c*x)^(13/3)/(b*x^2+a)^(2/3),x)","F"
773,0,0,97,0.039000," ","int((c*x)^(7/3)/(b*x^2+a)^(2/3),x)","\int \frac{\left(c x \right)^{\frac{7}{3}}}{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int((c*x)^(7/3)/(b*x^2+a)^(2/3),x)","F"
774,0,0,75,0.273000," ","int((c*x)^(1/3)/(b*x^2+a)^(2/3),x)","\int \frac{\left(c x \right)^{\frac{1}{3}}}{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int((c*x)^(1/3)/(b*x^2+a)^(2/3),x)","F"
775,1,21,22,0.003000," ","int(1/(c*x)^(5/3)/(b*x^2+a)^(2/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{1}{3}} x}{2 \left(c x \right)^{\frac{5}{3}} a}"," ",0,"-3/2*x*(b*x^2+a)^(1/3)/a/(c*x)^(5/3)","A"
776,1,29,45,0.004000," ","int(1/(c*x)^(11/3)/(b*x^2+a)^(2/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{1}{3}} \left(-3 b \,x^{2}+a \right) x}{8 \left(c x \right)^{\frac{11}{3}} a^{2}}"," ",0,"-3/8*x*(b*x^2+a)^(1/3)*(-3*b*x^2+a)/a^2/(c*x)^(11/3)","A"
777,1,42,67,0.006000," ","int(1/(c*x)^(17/3)/(b*x^2+a)^(2/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{1}{3}} \left(9 b^{2} x^{4}-3 a b \,x^{2}+2 a^{2}\right) x}{28 \left(c x \right)^{\frac{17}{3}} a^{3}}"," ",0,"-3/28*x*(b*x^2+a)^(1/3)*(9*b^2*x^4-3*a*b*x^2+2*a^2)/a^3/(c*x)^(17/3)","A"
778,1,53,89,0.004000," ","int(1/(c*x)^(23/3)/(b*x^2+a)^(2/3),x)","-\frac{3 \left(b \,x^{2}+a \right)^{\frac{1}{3}} \left(-81 b^{3} x^{6}+27 a \,b^{2} x^{4}-18 a^{2} b \,x^{2}+14 a^{3}\right) x}{280 \left(c x \right)^{\frac{23}{3}} a^{4}}"," ",0,"-3/280*x*(b*x^2+a)^(1/3)*(-81*b^3*x^6+27*a*b^2*x^4-18*a^2*b*x^2+14*a^3)/a^4/(c*x)^(23/3)","A"
779,0,0,448,0.043000," ","int((c*x)^(10/3)/(b*x^2+a)^(2/3),x)","\int \frac{\left(c x \right)^{\frac{10}{3}}}{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int((c*x)^(10/3)/(b*x^2+a)^(2/3),x)","F"
780,0,0,423,0.036000," ","int((c*x)^(4/3)/(b*x^2+a)^(2/3),x)","\int \frac{\left(c x \right)^{\frac{4}{3}}}{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int((c*x)^(4/3)/(b*x^2+a)^(2/3),x)","F"
781,0,0,403,0.279000," ","int(1/(c*x)^(2/3)/(b*x^2+a)^(2/3),x)","\int \frac{1}{\left(c x \right)^{\frac{2}{3}} \left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(c*x)^(2/3)/(b*x^2+a)^(2/3),x)","F"
782,0,0,427,0.044000," ","int(1/(c*x)^(8/3)/(b*x^2+a)^(2/3),x)","\int \frac{1}{\left(c x \right)^{\frac{8}{3}} \left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(c*x)^(8/3)/(b*x^2+a)^(2/3),x)","F"
783,0,0,452,0.048000," ","int(1/(c*x)^(14/3)/(b*x^2+a)^(2/3),x)","\int \frac{1}{\left(c x \right)^{\frac{14}{3}} \left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(c*x)^(14/3)/(b*x^2+a)^(2/3),x)","F"
784,0,0,46,0.293000," ","int((c*x)^(2/3)/(b*x^2+a)^(2/3),x)","\int \frac{\left(c x \right)^{\frac{2}{3}}}{\left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int((c*x)^(2/3)/(b*x^2+a)^(2/3),x)","F"
785,0,0,46,0.273000," ","int(1/(c*x)^(1/3)/(b*x^2+a)^(2/3),x)","\int \frac{1}{\left(c x \right)^{\frac{1}{3}} \left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(c*x)^(1/3)/(b*x^2+a)^(2/3),x)","F"
786,0,0,46,0.045000," ","int(1/(c*x)^(4/3)/(b*x^2+a)^(2/3),x)","\int \frac{1}{\left(c x \right)^{\frac{4}{3}} \left(b \,x^{2}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(c*x)^(4/3)/(b*x^2+a)^(2/3),x)","F"
787,0,0,126,0.321000," ","int(x^4*(b*x^2+a)^(1/4),x)","\int \left(b \,x^{2}+a \right)^{\frac{1}{4}} x^{4}\, dx"," ",0,"int(x^4*(b*x^2+a)^(1/4),x)","F"
788,0,0,106,0.386000," ","int(x^2*(b*x^2+a)^(1/4),x)","\int \left(b \,x^{2}+a \right)^{\frac{1}{4}} x^{2}\, dx"," ",0,"int(x^2*(b*x^2+a)^(1/4),x)","F"
789,0,0,88,0.306000," ","int((b*x^2+a)^(1/4),x)","\int \left(b \,x^{2}+a \right)^{\frac{1}{4}}\, dx"," ",0,"int((b*x^2+a)^(1/4),x)","F"
790,0,0,89,0.290000," ","int((b*x^2+a)^(1/4)/x^2,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}{x^{2}}\, dx"," ",0,"int((b*x^2+a)^(1/4)/x^2,x)","F"
791,0,0,108,0.288000," ","int((b*x^2+a)^(1/4)/x^4,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}{x^{4}}\, dx"," ",0,"int((b*x^2+a)^(1/4)/x^4,x)","F"
792,0,0,128,0.291000," ","int((b*x^2+a)^(1/4)/x^6,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}{x^{6}}\, dx"," ",0,"int((b*x^2+a)^(1/4)/x^6,x)","F"
793,0,0,131,0.063000," ","int(x^4*(-b*x^2+a)^(1/4),x)","\int \left(-b \,x^{2}+a \right)^{\frac{1}{4}} x^{4}\, dx"," ",0,"int(x^4*(-b*x^2+a)^(1/4),x)","F"
794,0,0,110,0.036000," ","int(x^2*(-b*x^2+a)^(1/4),x)","\int \left(-b \,x^{2}+a \right)^{\frac{1}{4}} x^{2}\, dx"," ",0,"int(x^2*(-b*x^2+a)^(1/4),x)","F"
795,0,0,91,0.302000," ","int((-b*x^2+a)^(1/4),x)","\int \left(-b \,x^{2}+a \right)^{\frac{1}{4}}\, dx"," ",0,"int((-b*x^2+a)^(1/4),x)","F"
796,0,0,93,0.036000," ","int((-b*x^2+a)^(1/4)/x^2,x)","\int \frac{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}{x^{2}}\, dx"," ",0,"int((-b*x^2+a)^(1/4)/x^2,x)","F"
797,0,0,112,0.039000," ","int((-b*x^2+a)^(1/4)/x^4,x)","\int \frac{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}{x^{4}}\, dx"," ",0,"int((-b*x^2+a)^(1/4)/x^4,x)","F"
798,0,0,133,0.040000," ","int((-b*x^2+a)^(1/4)/x^6,x)","\int \frac{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}{x^{6}}\, dx"," ",0,"int((-b*x^2+a)^(1/4)/x^6,x)","F"
799,0,0,144,0.299000," ","int(x^4*(b*x^2+a)^(3/4),x)","\int \left(b \,x^{2}+a \right)^{\frac{3}{4}} x^{4}\, dx"," ",0,"int(x^4*(b*x^2+a)^(3/4),x)","F"
800,0,0,124,0.291000," ","int(x^2*(b*x^2+a)^(3/4),x)","\int \left(b \,x^{2}+a \right)^{\frac{3}{4}} x^{2}\, dx"," ",0,"int(x^2*(b*x^2+a)^(3/4),x)","F"
801,0,0,101,0.303000," ","int((b*x^2+a)^(3/4),x)","\int \left(b \,x^{2}+a \right)^{\frac{3}{4}}\, dx"," ",0,"int((b*x^2+a)^(3/4),x)","F"
802,0,0,103,0.284000," ","int((b*x^2+a)^(3/4)/x^2,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{3}{4}}}{x^{2}}\, dx"," ",0,"int((b*x^2+a)^(3/4)/x^2,x)","F"
803,0,0,126,0.286000," ","int((b*x^2+a)^(3/4)/x^4,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{3}{4}}}{x^{4}}\, dx"," ",0,"int((b*x^2+a)^(3/4)/x^4,x)","F"
804,0,0,146,0.291000," ","int((b*x^2+a)^(3/4)/x^6,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{3}{4}}}{x^{6}}\, dx"," ",0,"int((b*x^2+a)^(3/4)/x^6,x)","F"
805,0,0,131,0.303000," ","int(x^4*(-b*x^2+a)^(3/4),x)","\int \left(-b \,x^{2}+a \right)^{\frac{3}{4}} x^{4}\, dx"," ",0,"int(x^4*(-b*x^2+a)^(3/4),x)","F"
806,0,0,110,0.314000," ","int(x^2*(-b*x^2+a)^(3/4),x)","\int \left(-b \,x^{2}+a \right)^{\frac{3}{4}} x^{2}\, dx"," ",0,"int(x^2*(-b*x^2+a)^(3/4),x)","F"
807,0,0,91,0.335000," ","int((-b*x^2+a)^(3/4),x)","\int \left(-b \,x^{2}+a \right)^{\frac{3}{4}}\, dx"," ",0,"int((-b*x^2+a)^(3/4),x)","F"
808,0,0,93,0.288000," ","int((-b*x^2+a)^(3/4)/x^2,x)","\int \frac{\left(-b \,x^{2}+a \right)^{\frac{3}{4}}}{x^{2}}\, dx"," ",0,"int((-b*x^2+a)^(3/4)/x^2,x)","F"
809,0,0,112,0.286000," ","int((-b*x^2+a)^(3/4)/x^4,x)","\int \frac{\left(-b \,x^{2}+a \right)^{\frac{3}{4}}}{x^{4}}\, dx"," ",0,"int((-b*x^2+a)^(3/4)/x^4,x)","F"
810,0,0,133,0.288000," ","int((-b*x^2+a)^(3/4)/x^6,x)","\int \frac{\left(-b \,x^{2}+a \right)^{\frac{3}{4}}}{x^{6}}\, dx"," ",0,"int((-b*x^2+a)^(3/4)/x^6,x)","F"
811,0,0,101,0.309000," ","int((b*x^2+a)^(5/4),x)","\int \left(b \,x^{2}+a \right)^{\frac{5}{4}}\, dx"," ",0,"int((b*x^2+a)^(5/4),x)","F"
812,0,0,105,0.300000," ","int((-b*x^2+a)^(5/4),x)","\int \left(-b \,x^{2}+a \right)^{\frac{5}{4}}\, dx"," ",0,"int((-b*x^2+a)^(5/4),x)","F"
813,0,0,116,0.305000," ","int((b*x^2+a)^(7/4),x)","\int \left(b \,x^{2}+a \right)^{\frac{7}{4}}\, dx"," ",0,"int((b*x^2+a)^(7/4),x)","F"
814,0,0,105,0.309000," ","int((-b*x^2+a)^(7/4),x)","\int \left(-b \,x^{2}+a \right)^{\frac{7}{4}}\, dx"," ",0,"int((-b*x^2+a)^(7/4),x)","F"
815,0,0,147,0.283000," ","int(x^6/(b*x^2+a)^(1/4),x)","\int \frac{x^{6}}{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^6/(b*x^2+a)^(1/4),x)","F"
816,0,0,127,0.290000," ","int(x^4/(b*x^2+a)^(1/4),x)","\int \frac{x^{4}}{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^4/(b*x^2+a)^(1/4),x)","F"
817,0,0,107,0.302000," ","int(x^2/(b*x^2+a)^(1/4),x)","\int \frac{x^{2}}{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^2/(b*x^2+a)^(1/4),x)","F"
818,0,0,88,0.308000," ","int(1/(b*x^2+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(b*x^2+a)^(1/4),x)","F"
819,0,0,108,0.289000," ","int(1/x^2/(b*x^2+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{4}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^2+a)^(1/4),x)","F"
820,0,0,129,0.289000," ","int(1/x^4/(b*x^2+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{4}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x^2+a)^(1/4),x)","F"
821,0,0,149,0.287000," ","int(1/x^6/(b*x^2+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{4}} x^{6}}\, dx"," ",0,"int(1/x^6/(b*x^2+a)^(1/4),x)","F"
822,0,0,134,0.291000," ","int(x^6/(-b*x^2+a)^(1/4),x)","\int \frac{x^{6}}{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^6/(-b*x^2+a)^(1/4),x)","F"
823,0,0,113,0.289000," ","int(x^4/(-b*x^2+a)^(1/4),x)","\int \frac{x^{4}}{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^4/(-b*x^2+a)^(1/4),x)","F"
824,0,0,94,0.289000," ","int(x^2/(-b*x^2+a)^(1/4),x)","\int \frac{x^{2}}{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^2/(-b*x^2+a)^(1/4),x)","F"
825,0,0,77,0.302000," ","int(1/(-b*x^2+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(-b*x^2+a)^(1/4),x)","F"
826,0,0,96,0.293000," ","int(1/x^2/(-b*x^2+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{1}{4}} x^{2}}\, dx"," ",0,"int(1/x^2/(-b*x^2+a)^(1/4),x)","F"
827,0,0,115,0.293000," ","int(1/x^4/(-b*x^2+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{1}{4}} x^{4}}\, dx"," ",0,"int(1/x^4/(-b*x^2+a)^(1/4),x)","F"
828,0,0,136,0.289000," ","int(1/x^6/(-b*x^2+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{1}{4}} x^{6}}\, dx"," ",0,"int(1/x^6/(-b*x^2+a)^(1/4),x)","F"
829,0,0,129,0.298000," ","int(x^6/(b*x^2+a)^(3/4),x)","\int \frac{x^{6}}{\left(b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^6/(b*x^2+a)^(3/4),x)","F"
830,0,0,109,0.297000," ","int(x^4/(b*x^2+a)^(3/4),x)","\int \frac{x^{4}}{\left(b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^4/(b*x^2+a)^(3/4),x)","F"
831,0,0,91,0.290000," ","int(x^2/(b*x^2+a)^(3/4),x)","\int \frac{x^{2}}{\left(b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^2/(b*x^2+a)^(3/4),x)","F"
832,0,0,75,0.304000," ","int(1/(b*x^2+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(b*x^2+a)^(3/4),x)","F"
833,0,0,93,0.289000," ","int(1/x^2/(b*x^2+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{3}{4}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^2+a)^(3/4),x)","F"
834,0,0,111,0.288000," ","int(1/x^4/(b*x^2+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{3}{4}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x^2+a)^(3/4),x)","F"
835,0,0,131,0.290000," ","int(1/x^6/(b*x^2+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{3}{4}} x^{6}}\, dx"," ",0,"int(1/x^6/(b*x^2+a)^(3/4),x)","F"
836,0,0,134,0.037000," ","int(x^6/(-b*x^2+a)^(3/4),x)","\int \frac{x^{6}}{\left(-b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^6/(-b*x^2+a)^(3/4),x)","F"
837,0,0,113,0.036000," ","int(x^4/(-b*x^2+a)^(3/4),x)","\int \frac{x^{4}}{\left(-b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^4/(-b*x^2+a)^(3/4),x)","F"
838,0,0,94,0.035000," ","int(x^2/(-b*x^2+a)^(3/4),x)","\int \frac{x^{2}}{\left(-b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^2/(-b*x^2+a)^(3/4),x)","F"
839,0,0,77,0.306000," ","int(1/(-b*x^2+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(-b*x^2+a)^(3/4),x)","F"
840,0,0,95,0.037000," ","int(1/x^2/(-b*x^2+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{3}{4}} x^{2}}\, dx"," ",0,"int(1/x^2/(-b*x^2+a)^(3/4),x)","F"
841,0,0,115,0.037000," ","int(1/x^4/(-b*x^2+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{3}{4}} x^{4}}\, dx"," ",0,"int(1/x^4/(-b*x^2+a)^(3/4),x)","F"
842,0,0,136,0.039000," ","int(1/x^6/(-b*x^2+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{3}{4}} x^{6}}\, dx"," ",0,"int(1/x^6/(-b*x^2+a)^(3/4),x)","F"
843,0,0,129,0.312000," ","int(x^6/(b*x^2+a)^(5/4),x)","\int \frac{x^{6}}{\left(b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^6/(b*x^2+a)^(5/4),x)","F"
844,0,0,109,0.310000," ","int(x^4/(b*x^2+a)^(5/4),x)","\int \frac{x^{4}}{\left(b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^4/(b*x^2+a)^(5/4),x)","F"
845,0,0,91,0.301000," ","int(x^2/(b*x^2+a)^(5/4),x)","\int \frac{x^{2}}{\left(b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^2/(b*x^2+a)^(5/4),x)","F"
846,0,0,75,0.313000," ","int(1/(b*x^2+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(1/(b*x^2+a)^(5/4),x)","F"
847,0,0,93,0.309000," ","int(1/x^2/(b*x^2+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{5}{4}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^2+a)^(5/4),x)","F"
848,0,0,111,0.310000," ","int(1/x^4/(b*x^2+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{5}{4}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x^2+a)^(5/4),x)","F"
849,0,0,131,0.308000," ","int(1/x^6/(b*x^2+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{5}{4}} x^{6}}\, dx"," ",0,"int(1/x^6/(b*x^2+a)^(5/4),x)","F"
850,0,0,131,0.313000," ","int(x^6/(-b*x^2+a)^(5/4),x)","\int \frac{x^{6}}{\left(-b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^6/(-b*x^2+a)^(5/4),x)","F"
851,0,0,112,0.382000," ","int(x^4/(-b*x^2+a)^(5/4),x)","\int \frac{x^{4}}{\left(-b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^4/(-b*x^2+a)^(5/4),x)","F"
852,0,0,94,0.334000," ","int(x^2/(-b*x^2+a)^(5/4),x)","\int \frac{x^{2}}{\left(-b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^2/(-b*x^2+a)^(5/4),x)","F"
853,0,0,94,0.355000," ","int(1/(-b*x^2+a)^(5/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(1/(-b*x^2+a)^(5/4),x)","F"
854,0,0,114,0.315000," ","int(1/x^2/(-b*x^2+a)^(5/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{5}{4}} x^{2}}\, dx"," ",0,"int(1/x^2/(-b*x^2+a)^(5/4),x)","F"
855,0,0,133,0.314000," ","int(1/x^4/(-b*x^2+a)^(5/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{5}{4}} x^{4}}\, dx"," ",0,"int(1/x^4/(-b*x^2+a)^(5/4),x)","F"
856,0,0,154,0.307000," ","int(1/x^6/(-b*x^2+a)^(5/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{5}{4}} x^{6}}\, dx"," ",0,"int(1/x^6/(-b*x^2+a)^(5/4),x)","F"
857,0,0,91,0.316000," ","int(1/(b*x^2+a)^(7/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{7}{4}}}\, dx"," ",0,"int(1/(b*x^2+a)^(7/4),x)","F"
858,0,0,91,0.326000," ","int(1/(b*x^2+a)^(9/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{9}{4}}}\, dx"," ",0,"int(1/(b*x^2+a)^(9/4),x)","F"
859,0,0,106,0.319000," ","int(1/(b*x^2+a)^(11/4),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{11}{4}}}\, dx"," ",0,"int(1/(b*x^2+a)^(11/4),x)","F"
860,0,0,94,0.316000," ","int(1/(-b*x^2+a)^(7/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{7}{4}}}\, dx"," ",0,"int(1/(-b*x^2+a)^(7/4),x)","F"
861,0,0,110,0.323000," ","int(1/(-b*x^2+a)^(9/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{9}{4}}}\, dx"," ",0,"int(1/(-b*x^2+a)^(9/4),x)","F"
862,0,0,110,0.326000," ","int(1/(-b*x^2+a)^(11/4),x)","\int \frac{1}{\left(-b \,x^{2}+a \right)^{\frac{11}{4}}}\, dx"," ",0,"int(1/(-b*x^2+a)^(11/4),x)","F"
863,1,43,101,0.298000," ","int(x^6/(3*x^2+2)^(1/4),x)","-\frac{32 \,2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{1053}+\frac{2 \left(27 x^{4}-20 x^{2}+16\right) \left(3 x^{2}+2\right)^{\frac{3}{4}} x}{1053}"," ",0,"2/1053*x*(27*x^4-20*x^2+16)*(3*x^2+2)^(3/4)-32/1053*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
864,1,38,87,0.271000," ","int(x^4/(3*x^2+2)^(1/4),x)","\frac{8 \,2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{135}+\frac{2 \left(5 x^{2}-4\right) \left(3 x^{2}+2\right)^{\frac{3}{4}} x}{135}"," ",0,"2/135*x*(5*x^2-4)*(3*x^2+2)^(3/4)+8/135*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
865,1,31,73,0.270000," ","int(x^2/(3*x^2+2)^(1/4),x)","-\frac{2 \,2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{15}+\frac{2 \left(3 x^{2}+2\right)^{\frac{3}{4}} x}{15}"," ",0,"2/15*x*(3*x^2+2)^(3/4)-2/15*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
866,1,18,61,0.268000," ","int(1/(3*x^2+2)^(1/4),x)","\frac{2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{2}"," ",0,"1/2*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
867,1,33,75,0.269000," ","int(1/x^2/(3*x^2+2)^(1/4),x)","\frac{3 \,2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{8}-\frac{\left(3 x^{2}+2\right)^{\frac{3}{4}}}{2 x}"," ",0,"-1/2*(3*x^2+2)^(3/4)/x+3/8*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
868,1,45,89,0.270000," ","int(1/x^4/(3*x^2+2)^(1/4),x)","-\frac{9 \,2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{32}+\frac{27 x^{4}+6 x^{2}-8}{24 \left(3 x^{2}+2\right)^{\frac{1}{4}} x^{3}}"," ",0,"1/24*(27*x^4+6*x^2-8)/x^3/(3*x^2+2)^(1/4)-9/32*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
869,1,50,103,0.272000," ","int(1/x^6/(3*x^2+2)^(1/4),x)","\frac{189 \,2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{640}-\frac{189 x^{6}+42 x^{4}-8 x^{2}+32}{160 \left(3 x^{2}+2\right)^{\frac{1}{4}} x^{5}}"," ",0,"-1/160*(189*x^6+42*x^4-8*x^2+32)/x^5/(3*x^2+2)^(1/4)+189/640*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
870,1,50,89,0.285000," ","int(x^6/(-3*x^2+2)^(1/4),x)","\frac{32 \,2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{1053}+\frac{2 \left(27 x^{4}+20 x^{2}+16\right) \left(3 x^{2}-2\right) x}{1053 \left(-3 x^{2}+2\right)^{\frac{1}{4}}}"," ",0,"2/1053*x*(27*x^4+20*x^2+16)*(3*x^2-2)/(-3*x^2+2)^(1/4)+32/1053*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
871,1,45,75,0.280000," ","int(x^4/(-3*x^2+2)^(1/4),x)","\frac{8 \,2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{135}+\frac{2 \left(5 x^{2}+4\right) \left(3 x^{2}-2\right) x}{135 \left(-3 x^{2}+2\right)^{\frac{1}{4}}}"," ",0,"2/135*x*(5*x^2+4)*(3*x^2-2)/(-3*x^2+2)^(1/4)+8/135*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
872,1,38,61,0.286000," ","int(x^2/(-3*x^2+2)^(1/4),x)","\frac{2 \,2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{15}+\frac{2 \left(3 x^{2}-2\right) x}{15 \left(-3 x^{2}+2\right)^{\frac{1}{4}}}"," ",0,"2/15*x*(3*x^2-2)/(-3*x^2+2)^(1/4)+2/15*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
873,1,18,48,0.283000," ","int(1/(-3*x^2+2)^(1/4),x)","\frac{2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{2}"," ",0,"1/2*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
874,1,40,63,0.283000," ","int(1/x^2/(-3*x^2+2)^(1/4),x)","-\frac{3 \,2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{8}+\frac{3 x^{2}-2}{2 \left(-3 x^{2}+2\right)^{\frac{1}{4}} x}"," ",0,"1/2*(3*x^2-2)/x/(-3*x^2+2)^(1/4)-3/8*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
875,1,45,77,0.275000," ","int(1/x^4/(-3*x^2+2)^(1/4),x)","-\frac{9 \,2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{32}+\frac{27 x^{4}-6 x^{2}-8}{24 \left(-3 x^{2}+2\right)^{\frac{1}{4}} x^{3}}"," ",0,"1/24*(27*x^4-6*x^2-8)/x^3/(-3*x^2+2)^(1/4)-9/32*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
876,1,50,91,0.280000," ","int(1/x^6/(-3*x^2+2)^(1/4),x)","-\frac{189 \,2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{640}+\frac{189 x^{6}-42 x^{4}-8 x^{2}-32}{160 \left(-3 x^{2}+2\right)^{\frac{1}{4}} x^{5}}"," ",0,"1/160*(189*x^6-42*x^4-8*x^2-32)/x^5/(-3*x^2+2)^(1/4)-189/640*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
877,1,43,89,0.294000," ","int(x^6/(3*x^2+2)^(3/4),x)","-\frac{160 \,2^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{2079}+\frac{2 \left(63 x^{4}-60 x^{2}+80\right) \left(3 x^{2}+2\right)^{\frac{1}{4}} x}{2079}"," ",0,"2/2079*x*(63*x^4-60*x^2+80)*(3*x^2+2)^(1/4)-160/2079*2^(1/4)*x*hypergeom([1/2,3/4],[3/2],-3/2*x^2)","C"
878,1,38,75,0.288000," ","int(x^4/(3*x^2+2)^(3/4),x)","\frac{8 \,2^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{63}+\frac{2 \left(3 x^{2}-4\right) \left(3 x^{2}+2\right)^{\frac{1}{4}} x}{63}"," ",0,"2/63*x*(3*x^2-4)*(3*x^2+2)^(1/4)+8/63*2^(1/4)*x*hypergeom([1/2,3/4],[3/2],-3/2*x^2)","C"
879,1,31,61,0.292000," ","int(x^2/(3*x^2+2)^(3/4),x)","-\frac{2 \,2^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{9}+\frac{2 \left(3 x^{2}+2\right)^{\frac{1}{4}} x}{9}"," ",0,"2/9*x*(3*x^2+2)^(1/4)-2/9*2^(1/4)*x*hypergeom([1/2,3/4],[3/2],-3/2*x^2)","C"
880,1,18,48,0.273000," ","int(1/(3*x^2+2)^(3/4),x)","\frac{2^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{2}"," ",0,"1/2*2^(1/4)*x*hypergeom([1/2,3/4],[3/2],-3/2*x^2)","C"
881,1,33,63,0.272000," ","int(1/x^2/(3*x^2+2)^(3/4),x)","-\frac{3 \,2^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{8}-\frac{\left(3 x^{2}+2\right)^{\frac{1}{4}}}{2 x}"," ",0,"-1/2*(3*x^2+2)^(1/4)/x-3/8*2^(1/4)*x*hypergeom([1/2,3/4],[3/2],-3/2*x^2)","C"
882,1,45,77,0.276000," ","int(1/x^4/(3*x^2+2)^(3/4),x)","\frac{15 \,2^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{32}+\frac{45 x^{4}+18 x^{2}-8}{24 \left(3 x^{2}+2\right)^{\frac{3}{4}} x^{3}}"," ",0,"1/24*(45*x^4+18*x^2-8)/x^3/(3*x^2+2)^(3/4)+15/32*2^(1/4)*x*hypergeom([1/2,3/4],[3/2],-3/2*x^2)","C"
883,1,50,91,0.271000," ","int(1/x^6/(3*x^2+2)^(3/4),x)","-\frac{81 \,2^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{128}-\frac{405 x^{6}+162 x^{4}-24 x^{2}+32}{160 \left(3 x^{2}+2\right)^{\frac{3}{4}} x^{5}}"," ",0,"-1/160*(405*x^6+162*x^4-24*x^2+32)/x^5/(3*x^2+2)^(3/4)-81/128*2^(1/4)*x*hypergeom([1/2,3/4],[3/2],-3/2*x^2)","C"
884,0,0,89,0.056000," ","int(x^6/(-3*x^2+2)^(3/4),x)","\int \frac{x^{6}}{\left(-3 x^{2}+2\right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^6/(-3*x^2+2)^(3/4),x)","F"
885,0,0,75,0.034000," ","int(x^4/(-3*x^2+2)^(3/4),x)","\int \frac{x^{4}}{\left(-3 x^{2}+2\right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^4/(-3*x^2+2)^(3/4),x)","F"
886,0,0,61,0.033000," ","int(x^2/(-3*x^2+2)^(3/4),x)","\int \frac{x^{2}}{\left(-3 x^{2}+2\right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^2/(-3*x^2+2)^(3/4),x)","F"
887,1,18,48,0.289000," ","int(1/(-3*x^2+2)^(3/4),x)","\frac{2^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{2}"," ",0,"1/2*2^(1/4)*x*hypergeom([1/2,3/4],[3/2],3/2*x^2)","C"
888,0,0,63,0.034000," ","int(1/x^2/(-3*x^2+2)^(3/4),x)","\int \frac{1}{\left(-3 x^{2}+2\right)^{\frac{3}{4}} x^{2}}\, dx"," ",0,"int(1/x^2/(-3*x^2+2)^(3/4),x)","F"
889,0,0,77,0.037000," ","int(1/x^4/(-3*x^2+2)^(3/4),x)","\int \frac{1}{\left(-3 x^{2}+2\right)^{\frac{3}{4}} x^{4}}\, dx"," ",0,"int(1/x^4/(-3*x^2+2)^(3/4),x)","F"
890,0,0,91,0.036000," ","int(1/x^6/(-3*x^2+2)^(3/4),x)","\int \frac{1}{\left(-3 x^{2}+2\right)^{\frac{3}{4}} x^{6}}\, dx"," ",0,"int(1/x^6/(-3*x^2+2)^(3/4),x)","F"
891,1,65,290,0.292000," ","int(x^6/(3*x^2-2)^(1/4),x)","\frac{32 \,2^{\frac{3}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{1053 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{1}{4}}}+\frac{2 \left(27 x^{4}+20 x^{2}+16\right) \left(3 x^{2}-2\right)^{\frac{3}{4}} x}{1053}"," ",0,"2/1053*x*(27*x^4+20*x^2+16)*(3*x^2-2)^(3/4)+32/1053*2^(3/4)/signum(-1+3/2*x^2)^(1/4)*(-signum(-1+3/2*x^2))^(1/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
892,1,60,276,0.294000," ","int(x^4/(3*x^2-2)^(1/4),x)","\frac{8 \,2^{\frac{3}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{135 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{1}{4}}}+\frac{2 \left(5 x^{2}+4\right) \left(3 x^{2}-2\right)^{\frac{3}{4}} x}{135}"," ",0,"2/135*x*(5*x^2+4)*(3*x^2-2)^(3/4)+8/135*2^(3/4)/signum(3/2*x^2-1)^(1/4)*(-signum(3/2*x^2-1))^(1/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
893,1,53,262,0.292000," ","int(x^2/(3*x^2-2)^(1/4),x)","\frac{2 \,2^{\frac{3}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{15 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{1}{4}}}+\frac{2 \left(3 x^{2}-2\right)^{\frac{3}{4}} x}{15}"," ",0,"2/15*x*(3*x^2-2)^(3/4)+2/15*2^(3/4)/signum(3/2*x^2-1)^(1/4)*(-signum(3/2*x^2-1))^(1/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
894,1,40,250,0.292000," ","int(1/(3*x^2-2)^(1/4),x)","\frac{2^{\frac{3}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{2 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{1}{4}}}"," ",0,"1/2*2^(3/4)/signum(3/2*x^2-1)^(1/4)*(-signum(3/2*x^2-1))^(1/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
895,1,55,264,0.296000," ","int(1/x^2/(3*x^2-2)^(1/4),x)","-\frac{3 \,2^{\frac{3}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{8 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{1}{4}}}+\frac{\left(3 x^{2}-2\right)^{\frac{3}{4}}}{2 x}"," ",0,"1/2*(3*x^2-2)^(3/4)/x-3/8*2^(3/4)/signum(3/2*x^2-1)^(1/4)*(-signum(3/2*x^2-1))^(1/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
896,1,67,278,0.289000," ","int(1/x^4/(3*x^2-2)^(1/4),x)","-\frac{9 \,2^{\frac{3}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{32 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{1}{4}}}+\frac{27 x^{4}-6 x^{2}-8}{24 \left(3 x^{2}-2\right)^{\frac{1}{4}} x^{3}}"," ",0,"1/24*(27*x^4-6*x^2-8)/x^3/(3*x^2-2)^(1/4)-9/32*2^(3/4)/signum(3/2*x^2-1)^(1/4)*(-signum(3/2*x^2-1))^(1/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
897,1,72,292,0.291000," ","int(1/x^6/(3*x^2-2)^(1/4),x)","-\frac{189 \,2^{\frac{3}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{640 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{1}{4}}}+\frac{189 x^{6}-42 x^{4}-8 x^{2}-32}{160 \left(3 x^{2}-2\right)^{\frac{1}{4}} x^{5}}"," ",0,"1/160*(189*x^6-42*x^4-8*x^2-32)/x^5/(3*x^2-2)^(1/4)-189/640*2^(3/4)/signum(3/2*x^2-1)^(1/4)*(-signum(3/2*x^2-1))^(1/4)*x*hypergeom([1/4,1/2],[3/2],3/2*x^2)","C"
898,1,53,292,0.274000," ","int(x^6/(-3*x^2-2)^(1/4),x)","\frac{32 \left(-1\right)^{\frac{3}{4}} 2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{1053}+\frac{2 \left(27 x^{4}-20 x^{2}+16\right) \left(3 x^{2}+2\right) x}{1053 \left(-3 x^{2}-2\right)^{\frac{1}{4}}}"," ",0,"2/1053*x*(27*x^4-20*x^2+16)*(3*x^2+2)/(-3*x^2-2)^(1/4)+32/1053*(-1)^(3/4)*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
899,1,48,278,0.273000," ","int(x^4/(-3*x^2-2)^(1/4),x)","-\frac{8 \left(-1\right)^{\frac{3}{4}} 2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{135}+\frac{2 \left(5 x^{2}-4\right) \left(3 x^{2}+2\right) x}{135 \left(-3 x^{2}-2\right)^{\frac{1}{4}}}"," ",0,"2/135*x*(5*x^2-4)*(3*x^2+2)/(-3*x^2-2)^(1/4)-8/135*(-1)^(3/4)*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
900,1,41,264,0.272000," ","int(x^2/(-3*x^2-2)^(1/4),x)","\frac{2 \left(-1\right)^{\frac{3}{4}} 2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{15}+\frac{2 \left(3 x^{2}+2\right) x}{15 \left(-3 x^{2}-2\right)^{\frac{1}{4}}}"," ",0,"2/15*x*(3*x^2+2)/(-3*x^2-2)^(1/4)+2/15*(-1)^(3/4)*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
901,1,21,252,0.274000," ","int(1/(-3*x^2-2)^(1/4),x)","-\frac{\left(-1\right)^{\frac{3}{4}} 2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{2}"," ",0,"-1/2*(-1)^(3/4)*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
902,1,43,266,0.278000," ","int(1/x^2/(-3*x^2-2)^(1/4),x)","-\frac{3 \left(-1\right)^{\frac{3}{4}} 2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{8}-\frac{3 x^{2}+2}{2 \left(-3 x^{2}-2\right)^{\frac{1}{4}} x}"," ",0,"-1/2*(3*x^2+2)/x/(-3*x^2-2)^(1/4)-3/8*(-1)^(3/4)*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
903,1,48,280,0.275000," ","int(1/x^4/(-3*x^2-2)^(1/4),x)","\frac{9 \left(-1\right)^{\frac{3}{4}} 2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{32}+\frac{27 x^{4}+6 x^{2}-8}{24 \left(-3 x^{2}-2\right)^{\frac{1}{4}} x^{3}}"," ",0,"1/24*(27*x^4+6*x^2-8)/x^3/(-3*x^2-2)^(1/4)+9/32*(-1)^(3/4)*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
904,1,53,294,0.296000," ","int(1/x^6/(-3*x^2-2)^(1/4),x)","-\frac{189 \left(-1\right)^{\frac{3}{4}} 2^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{640}-\frac{189 x^{6}+42 x^{4}-8 x^{2}+32}{160 \left(-3 x^{2}-2\right)^{\frac{1}{4}} x^{5}}"," ",0,"-1/160*(189*x^6+42*x^4-8*x^2+32)/x^5/(-3*x^2-2)^(1/4)-189/640*(-1)^(3/4)*2^(3/4)*x*hypergeom([1/4,1/2],[3/2],-3/2*x^2)","C"
905,1,65,152,0.301000," ","int(x^6/(3*x^2-2)^(3/4),x)","\frac{160 \,2^{\frac{1}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{2079 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{3}{4}}}+\frac{2 \left(63 x^{4}+60 x^{2}+80\right) \left(3 x^{2}-2\right)^{\frac{1}{4}} x}{2079}"," ",0,"2/2079*x*(63*x^4+60*x^2+80)*(3*x^2-2)^(1/4)+160/2079*2^(1/4)/signum(3/2*x^2-1)^(3/4)*(-signum(3/2*x^2-1))^(3/4)*x*hypergeom([1/2,3/4],[3/2],3/2*x^2)","C"
906,1,60,138,0.315000," ","int(x^4/(3*x^2-2)^(3/4),x)","\frac{8 \,2^{\frac{1}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{63 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{3}{4}}}+\frac{2 \left(3 x^{2}+4\right) \left(3 x^{2}-2\right)^{\frac{1}{4}} x}{63}"," ",0,"2/63*x*(3*x^2+4)*(3*x^2-2)^(1/4)+8/63*2^(1/4)/signum(3/2*x^2-1)^(3/4)*(-signum(3/2*x^2-1))^(3/4)*x*hypergeom([1/2,3/4],[3/2],3/2*x^2)","C"
907,1,53,124,0.290000," ","int(x^2/(3*x^2-2)^(3/4),x)","\frac{2 \,2^{\frac{1}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{9 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{3}{4}}}+\frac{2 \left(3 x^{2}-2\right)^{\frac{1}{4}} x}{9}"," ",0,"2/9*x*(3*x^2-2)^(1/4)+2/9*2^(1/4)/signum(3/2*x^2-1)^(3/4)*(-signum(3/2*x^2-1))^(3/4)*x*hypergeom([1/2,3/4],[3/2],3/2*x^2)","C"
908,1,40,111,0.293000," ","int(1/(3*x^2-2)^(3/4),x)","\frac{2^{\frac{1}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{2 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{3}{4}}}"," ",0,"1/2*2^(1/4)/signum(3/2*x^2-1)^(3/4)*(-signum(3/2*x^2-1))^(3/4)*x*hypergeom([1/2,3/4],[3/2],3/2*x^2)","C"
909,1,55,126,0.293000," ","int(1/x^2/(3*x^2-2)^(3/4),x)","\frac{3 \,2^{\frac{1}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{8 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{3}{4}}}+\frac{\left(3 x^{2}-2\right)^{\frac{1}{4}}}{2 x}"," ",0,"1/2*(3*x^2-2)^(1/4)/x+3/8*2^(1/4)/signum(3/2*x^2-1)^(3/4)*(-signum(3/2*x^2-1))^(3/4)*x*hypergeom([1/2,3/4],[3/2],3/2*x^2)","C"
910,1,67,140,0.292000," ","int(1/x^4/(3*x^2-2)^(3/4),x)","\frac{15 \,2^{\frac{1}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{32 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{3}{4}}}+\frac{45 x^{4}-18 x^{2}-8}{24 \left(3 x^{2}-2\right)^{\frac{3}{4}} x^{3}}"," ",0,"1/24*(45*x^4-18*x^2-8)/x^3/(3*x^2-2)^(3/4)+15/32*2^(1/4)/signum(3/2*x^2-1)^(3/4)*(-signum(3/2*x^2-1))^(3/4)*x*hypergeom([1/2,3/4],[3/2],3/2*x^2)","C"
911,1,72,154,0.287000," ","int(1/x^6/(3*x^2-2)^(3/4),x)","\frac{81 \,2^{\frac{1}{4}} \left(-\mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)\right)^{\frac{3}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], \frac{3 x^{2}}{2}\right)}{128 \mathrm{signum}\left(\frac{3 x^{2}}{2}-1\right)^{\frac{3}{4}}}+\frac{405 x^{6}-162 x^{4}-24 x^{2}-32}{160 \left(3 x^{2}-2\right)^{\frac{3}{4}} x^{5}}"," ",0,"1/160*(405*x^6-162*x^4-24*x^2-32)/x^5/(3*x^2-2)^(3/4)+81/128*2^(1/4)/signum(3/2*x^2-1)^(3/4)*(-signum(3/2*x^2-1))^(3/4)*x*hypergeom([1/2,3/4],[3/2],3/2*x^2)","C"
912,0,0,153,0.055000," ","int(x^6/(-3*x^2-2)^(3/4),x)","\int \frac{x^{6}}{\left(-3 x^{2}-2\right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^6/(-3*x^2-2)^(3/4),x)","F"
913,0,0,139,0.033000," ","int(x^4/(-3*x^2-2)^(3/4),x)","\int \frac{x^{4}}{\left(-3 x^{2}-2\right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^4/(-3*x^2-2)^(3/4),x)","F"
914,0,0,125,0.034000," ","int(x^2/(-3*x^2-2)^(3/4),x)","\int \frac{x^{2}}{\left(-3 x^{2}-2\right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^2/(-3*x^2-2)^(3/4),x)","F"
915,1,21,112,0.274000," ","int(1/(-3*x^2-2)^(3/4),x)","-\frac{\left(-1\right)^{\frac{1}{4}} 2^{\frac{1}{4}} x \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{3}{2}\right], -\frac{3 x^{2}}{2}\right)}{2}"," ",0,"-1/2*(-1)^(1/4)*2^(1/4)*x*hypergeom([1/2,3/4],[3/2],-3/2*x^2)","C"
916,0,0,127,0.037000," ","int(1/x^2/(-3*x^2-2)^(3/4),x)","\int \frac{1}{\left(-3 x^{2}-2\right)^{\frac{3}{4}} x^{2}}\, dx"," ",0,"int(1/x^2/(-3*x^2-2)^(3/4),x)","F"
917,0,0,141,0.036000," ","int(1/x^4/(-3*x^2-2)^(3/4),x)","\int \frac{1}{\left(-3 x^{2}-2\right)^{\frac{3}{4}} x^{4}}\, dx"," ",0,"int(1/x^4/(-3*x^2-2)^(3/4),x)","F"
918,0,0,155,0.038000," ","int(1/x^6/(-3*x^2-2)^(3/4),x)","\int \frac{1}{\left(-3 x^{2}-2\right)^{\frac{3}{4}} x^{6}}\, dx"," ",0,"int(1/x^6/(-3*x^2-2)^(3/4),x)","F"
919,0,0,149,0.106000," ","int((c*x)^(7/2)*(b*x^2+a)^(1/4),x)","\int \left(c x \right)^{\frac{7}{2}} \left(b \,x^{2}+a \right)^{\frac{1}{4}}\, dx"," ",0,"int((c*x)^(7/2)*(b*x^2+a)^(1/4),x)","F"
920,0,0,121,0.055000," ","int((c*x)^(3/2)*(b*x^2+a)^(1/4),x)","\int \left(c x \right)^{\frac{3}{2}} \left(b \,x^{2}+a \right)^{\frac{1}{4}}\, dx"," ",0,"int((c*x)^(3/2)*(b*x^2+a)^(1/4),x)","F"
921,0,0,102,0.067000," ","int((b*x^2+a)^(1/4)/(c*x)^(1/2),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}{\sqrt{c x}}\, dx"," ",0,"int((b*x^2+a)^(1/4)/(c*x)^(1/2),x)","F"
922,0,0,103,0.056000," ","int((b*x^2+a)^(1/4)/(c*x)^(5/2),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}{\left(c x \right)^{\frac{5}{2}}}\, dx"," ",0,"int((b*x^2+a)^(1/4)/(c*x)^(5/2),x)","F"
923,0,0,126,0.062000," ","int((b*x^2+a)^(1/4)/(c*x)^(9/2),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}{\left(c x \right)^{\frac{9}{2}}}\, dx"," ",0,"int((b*x^2+a)^(1/4)/(c*x)^(9/2),x)","F"
924,0,0,151,0.061000," ","int((b*x^2+a)^(1/4)/(c*x)^(13/2),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}{\left(c x \right)^{\frac{13}{2}}}\, dx"," ",0,"int((b*x^2+a)^(1/4)/(c*x)^(13/2),x)","F"
925,0,0,107,0.058000," ","int((c*x)^(5/2)*(b*x^2+a)^(1/4),x)","\int \left(c x \right)^{\frac{5}{2}} \left(b \,x^{2}+a \right)^{\frac{1}{4}}\, dx"," ",0,"int((c*x)^(5/2)*(b*x^2+a)^(1/4),x)","F"
926,0,0,82,0.052000," ","int((c*x)^(1/2)*(b*x^2+a)^(1/4),x)","\int \sqrt{c x}\, \left(b \,x^{2}+a \right)^{\frac{1}{4}}\, dx"," ",0,"int((c*x)^(1/2)*(b*x^2+a)^(1/4),x)","F"
927,0,0,79,0.056000," ","int((b*x^2+a)^(1/4)/(c*x)^(3/2),x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}{\left(c x \right)^{\frac{3}{2}}}\, dx"," ",0,"int((b*x^2+a)^(1/4)/(c*x)^(3/2),x)","F"
928,1,21,22,0.004000," ","int((b*x^2+a)^(1/4)/(c*x)^(7/2),x)","-\frac{2 \left(b \,x^{2}+a \right)^{\frac{5}{4}} x}{5 \left(c x \right)^{\frac{7}{2}} a}"," ",0,"-2/5*x*(b*x^2+a)^(5/4)/a/(c*x)^(7/2)","A"
929,1,31,45,0.006000," ","int((b*x^2+a)^(1/4)/(c*x)^(11/2),x)","-\frac{2 \left(b \,x^{2}+a \right)^{\frac{5}{4}} \left(-4 b \,x^{2}+5 a \right) x}{45 \left(c x \right)^{\frac{11}{2}} a^{2}}"," ",0,"-2/45*x*(b*x^2+a)^(5/4)*(-4*b*x^2+5*a)/a^2/(c*x)^(11/2)","A"
930,1,42,67,0.007000," ","int((b*x^2+a)^(1/4)/(c*x)^(15/2),x)","-\frac{2 \left(b \,x^{2}+a \right)^{\frac{5}{4}} \left(32 b^{2} x^{4}-40 a b \,x^{2}+45 a^{2}\right) x}{585 \left(c x \right)^{\frac{15}{2}} a^{3}}"," ",0,"-2/585*x*(b*x^2+a)^(5/4)*(32*b^2*x^4-40*a*b*x^2+45*a^2)/a^3/(c*x)^(15/2)","A"
931,1,53,89,0.008000," ","int((b*x^2+a)^(1/4)/(c*x)^(19/2),x)","-\frac{2 \left(b \,x^{2}+a \right)^{\frac{5}{4}} \left(-128 b^{3} x^{6}+160 a \,b^{2} x^{4}-180 a^{2} b \,x^{2}+195 a^{3}\right) x}{3315 \left(c x \right)^{\frac{19}{2}} a^{4}}"," ",0,"-2/3315*x*(b*x^2+a)^(5/4)*(-128*b^3*x^6+160*a*b^2*x^4-180*a^2*b*x^2+195*a^3)/a^4/(c*x)^(19/2)","A"
932,0,0,125,0.105000," ","int((c*x)^(3/2)*(-b*x^2+a)^(1/4),x)","\int \left(c x \right)^{\frac{3}{2}} \left(-b \,x^{2}+a \right)^{\frac{1}{4}}\, dx"," ",0,"int((c*x)^(3/2)*(-b*x^2+a)^(1/4),x)","F"
933,0,0,105,0.056000," ","int((-b*x^2+a)^(1/4)/(c*x)^(1/2),x)","\int \frac{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}{\sqrt{c x}}\, dx"," ",0,"int((-b*x^2+a)^(1/4)/(c*x)^(1/2),x)","F"
934,0,0,106,0.066000," ","int((-b*x^2+a)^(1/4)/(c*x)^(5/2),x)","\int \frac{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}{\left(c x \right)^{\frac{5}{2}}}\, dx"," ",0,"int((-b*x^2+a)^(1/4)/(c*x)^(5/2),x)","F"
935,0,0,130,0.064000," ","int((-b*x^2+a)^(1/4)/(c*x)^(9/2),x)","\int \frac{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}{\left(c x \right)^{\frac{9}{2}}}\, dx"," ",0,"int((-b*x^2+a)^(1/4)/(c*x)^(9/2),x)","F"
936,0,0,156,0.064000," ","int((-b*x^2+a)^(1/4)/(c*x)^(13/2),x)","\int \frac{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}{\left(c x \right)^{\frac{13}{2}}}\, dx"," ",0,"int((-b*x^2+a)^(1/4)/(c*x)^(13/2),x)","F"
937,0,0,246,0.064000," ","int((c*x)^(5/2)*(-b*x^2+a)^(1/4),x)","\int \left(c x \right)^{\frac{5}{2}} \left(-b \,x^{2}+a \right)^{\frac{1}{4}}\, dx"," ",0,"int((c*x)^(5/2)*(-b*x^2+a)^(1/4),x)","F"
938,0,0,216,0.058000," ","int((c*x)^(1/2)*(-b*x^2+a)^(1/4),x)","\int \sqrt{c x}\, \left(-b \,x^{2}+a \right)^{\frac{1}{4}}\, dx"," ",0,"int((c*x)^(1/2)*(-b*x^2+a)^(1/4),x)","F"
939,0,0,212,0.058000," ","int((-b*x^2+a)^(1/4)/(c*x)^(3/2),x)","\int \frac{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}{\left(c x \right)^{\frac{3}{2}}}\, dx"," ",0,"int((-b*x^2+a)^(1/4)/(c*x)^(3/2),x)","F"
940,1,22,23,0.003000," ","int((-b*x^2+a)^(1/4)/(c*x)^(7/2),x)","-\frac{2 \left(-b \,x^{2}+a \right)^{\frac{5}{4}} x}{5 \left(c x \right)^{\frac{7}{2}} a}"," ",0,"-2/5*x*(-b*x^2+a)^(5/4)/a/(c*x)^(7/2)","A"
941,1,32,47,0.005000," ","int((-b*x^2+a)^(1/4)/(c*x)^(11/2),x)","-\frac{2 \left(-b \,x^{2}+a \right)^{\frac{5}{4}} \left(4 b \,x^{2}+5 a \right) x}{45 \left(c x \right)^{\frac{11}{2}} a^{2}}"," ",0,"-2/45*x*(-b*x^2+a)^(5/4)*(4*b*x^2+5*a)/a^2/(c*x)^(11/2)","A"
942,1,43,70,0.005000," ","int((-b*x^2+a)^(1/4)/(c*x)^(15/2),x)","-\frac{2 \left(-b \,x^{2}+a \right)^{\frac{5}{4}} \left(32 b^{2} x^{4}+40 a b \,x^{2}+45 a^{2}\right) x}{585 \left(c x \right)^{\frac{15}{2}} a^{3}}"," ",0,"-2/585*x*(-b*x^2+a)^(5/4)*(32*b^2*x^4+40*a*b*x^2+45*a^2)/a^3/(c*x)^(15/2)","A"
943,1,54,93,0.006000," ","int((-b*x^2+a)^(1/4)/(c*x)^(19/2),x)","-\frac{2 \left(-b \,x^{2}+a \right)^{\frac{5}{4}} \left(128 b^{3} x^{6}+160 a \,b^{2} x^{4}+180 a^{2} b \,x^{2}+195 a^{3}\right) x}{3315 \left(c x \right)^{\frac{19}{2}} a^{4}}"," ",0,"-2/3315*x*(-b*x^2+a)^(5/4)*(128*b^3*x^6+160*a*b^2*x^4+180*a^2*b*x^2+195*a^3)/a^4/(c*x)^(19/2)","A"
944,0,0,83,0.321000," ","int((c*x)^(3/2)/(b*x^2+a)^(1/4),x)","\int \frac{\left(c x \right)^{\frac{3}{2}}}{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int((c*x)^(3/2)/(b*x^2+a)^(1/4),x)","F"
945,0,0,59,0.283000," ","int(1/(c*x)^(1/2)/(b*x^2+a)^(1/4),x)","\int \frac{1}{\sqrt{c x}\, \left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(c*x)^(1/2)/(b*x^2+a)^(1/4),x)","F"
946,1,21,22,0.005000," ","int(1/(c*x)^(5/2)/(b*x^2+a)^(1/4),x)","-\frac{2 \left(b \,x^{2}+a \right)^{\frac{3}{4}} x}{3 \left(c x \right)^{\frac{5}{2}} a}"," ",0,"-2/3*x*(b*x^2+a)^(3/4)/a/(c*x)^(5/2)","A"
947,1,31,45,0.006000," ","int(1/(c*x)^(9/2)/(b*x^2+a)^(1/4),x)","-\frac{2 \left(b \,x^{2}+a \right)^{\frac{3}{4}} \left(-4 b \,x^{2}+3 a \right) x}{21 \left(c x \right)^{\frac{9}{2}} a^{2}}"," ",0,"-2/21*x*(b*x^2+a)^(3/4)*(-4*b*x^2+3*a)/a^2/(c*x)^(9/2)","A"
948,1,42,67,0.006000," ","int(1/(c*x)^(13/2)/(b*x^2+a)^(1/4),x)","-\frac{2 \left(b \,x^{2}+a \right)^{\frac{3}{4}} \left(32 b^{2} x^{4}-24 a b \,x^{2}+21 a^{2}\right) x}{231 \left(c x \right)^{\frac{13}{2}} a^{3}}"," ",0,"-2/231*x*(b*x^2+a)^(3/4)*(32*b^2*x^4-24*a*b*x^2+21*a^2)/a^3/(c*x)^(13/2)","A"
949,0,0,153,0.305000," ","int((c*x)^(9/2)/(b*x^2+a)^(1/4),x)","\int \frac{\left(c x \right)^{\frac{9}{2}}}{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int((c*x)^(9/2)/(b*x^2+a)^(1/4),x)","F"
950,0,0,128,0.303000," ","int((c*x)^(5/2)/(b*x^2+a)^(1/4),x)","\int \frac{\left(c x \right)^{\frac{5}{2}}}{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int((c*x)^(5/2)/(b*x^2+a)^(1/4),x)","F"
951,0,0,96,0.280000," ","int((c*x)^(1/2)/(b*x^2+a)^(1/4),x)","\int \frac{\sqrt{c x}}{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int((c*x)^(1/2)/(b*x^2+a)^(1/4),x)","F"
952,0,0,103,0.296000," ","int(1/(c*x)^(3/2)/(b*x^2+a)^(1/4),x)","\int \frac{1}{\left(c x \right)^{\frac{3}{2}} \left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(c*x)^(3/2)/(b*x^2+a)^(1/4),x)","F"
953,0,0,129,0.303000," ","int(1/(c*x)^(7/2)/(b*x^2+a)^(1/4),x)","\int \frac{1}{\left(c x \right)^{\frac{7}{2}} \left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(c*x)^(7/2)/(b*x^2+a)^(1/4),x)","F"
954,0,0,154,0.366000," ","int(1/(c*x)^(11/2)/(b*x^2+a)^(1/4),x)","\int \frac{1}{\left(c x \right)^{\frac{11}{2}} \left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(c*x)^(11/2)/(b*x^2+a)^(1/4),x)","F"
955,0,0,217,0.323000," ","int((c*x)^(3/2)/(-b*x^2+a)^(1/4),x)","\int \frac{\left(c x \right)^{\frac{3}{2}}}{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int((c*x)^(3/2)/(-b*x^2+a)^(1/4),x)","F"
956,0,0,192,0.325000," ","int(1/(c*x)^(1/2)/(-b*x^2+a)^(1/4),x)","\int \frac{1}{\sqrt{c x}\, \left(-b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(c*x)^(1/2)/(-b*x^2+a)^(1/4),x)","F"
957,1,22,23,0.004000," ","int(1/(c*x)^(5/2)/(-b*x^2+a)^(1/4),x)","-\frac{2 \left(-b \,x^{2}+a \right)^{\frac{3}{4}} x}{3 \left(c x \right)^{\frac{5}{2}} a}"," ",0,"-2/3*x*(-b*x^2+a)^(3/4)/a/(c*x)^(5/2)","A"
958,1,32,47,0.004000," ","int(1/(c*x)^(9/2)/(-b*x^2+a)^(1/4),x)","-\frac{2 \left(-b \,x^{2}+a \right)^{\frac{3}{4}} \left(4 b \,x^{2}+3 a \right) x}{21 \left(c x \right)^{\frac{9}{2}} a^{2}}"," ",0,"-2/21*x*(-b*x^2+a)^(3/4)*(4*b*x^2+3*a)/a^2/(c*x)^(9/2)","A"
959,1,43,70,0.006000," ","int(1/(c*x)^(13/2)/(-b*x^2+a)^(1/4),x)","-\frac{2 \left(-b \,x^{2}+a \right)^{\frac{3}{4}} \left(32 b^{2} x^{4}+24 a b \,x^{2}+21 a^{2}\right) x}{231 \left(c x \right)^{\frac{13}{2}} a^{3}}"," ",0,"-2/231*x*(-b*x^2+a)^(3/4)*(32*b^2*x^4+24*a*b*x^2+21*a^2)/a^3/(c*x)^(13/2)","A"
960,0,0,131,0.306000," ","int((c*x)^(5/2)/(-b*x^2+a)^(1/4),x)","\int \frac{\left(c x \right)^{\frac{5}{2}}}{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int((c*x)^(5/2)/(-b*x^2+a)^(1/4),x)","F"
961,0,0,103,0.282000," ","int((c*x)^(1/2)/(-b*x^2+a)^(1/4),x)","\int \frac{\sqrt{c x}}{\left(-b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int((c*x)^(1/2)/(-b*x^2+a)^(1/4),x)","F"
962,0,0,85,0.306000," ","int(1/(c*x)^(3/2)/(-b*x^2+a)^(1/4),x)","\int \frac{1}{\left(c x \right)^{\frac{3}{2}} \left(-b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(c*x)^(3/2)/(-b*x^2+a)^(1/4),x)","F"
963,0,0,109,0.302000," ","int(1/(c*x)^(7/2)/(-b*x^2+a)^(1/4),x)","\int \frac{1}{\left(c x \right)^{\frac{7}{2}} \left(-b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(c*x)^(7/2)/(-b*x^2+a)^(1/4),x)","F"
964,0,0,133,0.303000," ","int(1/(c*x)^(11/2)/(-b*x^2+a)^(1/4),x)","\int \frac{1}{\left(c x \right)^{\frac{11}{2}} \left(-b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(c*x)^(11/2)/(-b*x^2+a)^(1/4),x)","F"
965,0,0,99,0.050000," ","int((c*x)^(3/2)/(b*x^2+a)^(3/4),x)","\int \frac{\left(c x \right)^{\frac{3}{2}}}{\left(b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int((c*x)^(3/2)/(b*x^2+a)^(3/4),x)","F"
966,0,0,83,0.326000," ","int(1/(c*x)^(1/2)/(b*x^2+a)^(3/4),x)","\int \frac{1}{\sqrt{c x}\, \left(b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(c*x)^(1/2)/(b*x^2+a)^(3/4),x)","F"
967,0,0,106,0.059000," ","int(1/(c*x)^(5/2)/(b*x^2+a)^(3/4),x)","\int \frac{1}{\left(c x \right)^{\frac{5}{2}} \left(b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(c*x)^(5/2)/(b*x^2+a)^(3/4),x)","F"
968,0,0,129,0.058000," ","int(1/(c*x)^(9/2)/(b*x^2+a)^(3/4),x)","\int \frac{1}{\left(c x \right)^{\frac{9}{2}} \left(b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(c*x)^(9/2)/(b*x^2+a)^(3/4),x)","F"
969,0,0,154,0.061000," ","int(1/(c*x)^(13/2)/(b*x^2+a)^(3/4),x)","\int \frac{1}{\left(c x \right)^{\frac{13}{2}} \left(b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(c*x)^(13/2)/(b*x^2+a)^(3/4),x)","F"
970,0,0,83,0.058000," ","int((c*x)^(5/2)/(b*x^2+a)^(3/4),x)","\int \frac{\left(c x \right)^{\frac{5}{2}}}{\left(b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int((c*x)^(5/2)/(b*x^2+a)^(3/4),x)","F"
971,0,0,60,0.278000," ","int((c*x)^(1/2)/(b*x^2+a)^(3/4),x)","\int \frac{\sqrt{c x}}{\left(b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int((c*x)^(1/2)/(b*x^2+a)^(3/4),x)","F"
972,1,21,22,0.005000," ","int(1/(c*x)^(3/2)/(b*x^2+a)^(3/4),x)","-\frac{2 \left(b \,x^{2}+a \right)^{\frac{1}{4}} x}{\left(c x \right)^{\frac{3}{2}} a}"," ",0,"-2*x*(b*x^2+a)^(1/4)/a/(c*x)^(3/2)","A"
973,1,29,45,0.006000," ","int(1/(c*x)^(7/2)/(b*x^2+a)^(3/4),x)","-\frac{2 \left(b \,x^{2}+a \right)^{\frac{1}{4}} \left(-4 b \,x^{2}+a \right) x}{5 \left(c x \right)^{\frac{7}{2}} a^{2}}"," ",0,"-2/5*x*(b*x^2+a)^(1/4)*(-4*b*x^2+a)/a^2/(c*x)^(7/2)","A"
974,1,42,67,0.005000," ","int(1/(c*x)^(11/2)/(b*x^2+a)^(3/4),x)","-\frac{2 \left(b \,x^{2}+a \right)^{\frac{1}{4}} \left(32 b^{2} x^{4}-8 a b \,x^{2}+5 a^{2}\right) x}{45 \left(c x \right)^{\frac{11}{2}} a^{3}}"," ",0,"-2/45*x*(b*x^2+a)^(1/4)*(32*b^2*x^4-8*a*b*x^2+5*a^2)/a^3/(c*x)^(11/2)","A"
975,0,0,104,0.055000," ","int((c*x)^(3/2)/(-b*x^2+a)^(3/4),x)","\int \frac{\left(c x \right)^{\frac{3}{2}}}{\left(-b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int((c*x)^(3/2)/(-b*x^2+a)^(3/4),x)","F"
976,0,0,85,0.278000," ","int(1/(c*x)^(1/2)/(-b*x^2+a)^(3/4),x)","\int \frac{1}{\sqrt{c x}\, \left(-b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(c*x)^(1/2)/(-b*x^2+a)^(3/4),x)","F"
977,0,0,109,0.063000," ","int(1/(c*x)^(5/2)/(-b*x^2+a)^(3/4),x)","\int \frac{1}{\left(c x \right)^{\frac{5}{2}} \left(-b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(c*x)^(5/2)/(-b*x^2+a)^(3/4),x)","F"
978,0,0,133,0.062000," ","int(1/(c*x)^(9/2)/(-b*x^2+a)^(3/4),x)","\int \frac{1}{\left(c x \right)^{\frac{9}{2}} \left(-b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(c*x)^(9/2)/(-b*x^2+a)^(3/4),x)","F"
979,0,0,159,0.069000," ","int(1/(c*x)^(13/2)/(-b*x^2+a)^(3/4),x)","\int \frac{1}{\left(c x \right)^{\frac{13}{2}} \left(-b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(c*x)^(13/2)/(-b*x^2+a)^(3/4),x)","F"
980,0,0,217,0.061000," ","int((c*x)^(5/2)/(-b*x^2+a)^(3/4),x)","\int \frac{\left(c x \right)^{\frac{5}{2}}}{\left(-b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int((c*x)^(5/2)/(-b*x^2+a)^(3/4),x)","F"
981,0,0,192,0.280000," ","int((c*x)^(1/2)/(-b*x^2+a)^(3/4),x)","\int \frac{\sqrt{c x}}{\left(-b \,x^{2}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int((c*x)^(1/2)/(-b*x^2+a)^(3/4),x)","F"
982,1,22,23,0.004000," ","int(1/(c*x)^(3/2)/(-b*x^2+a)^(3/4),x)","-\frac{2 \left(-b \,x^{2}+a \right)^{\frac{1}{4}} x}{\left(c x \right)^{\frac{3}{2}} a}"," ",0,"-2*x*(-b*x^2+a)^(1/4)/a/(c*x)^(3/2)","A"
983,1,30,47,0.006000," ","int(1/(c*x)^(7/2)/(-b*x^2+a)^(3/4),x)","-\frac{2 \left(-b \,x^{2}+a \right)^{\frac{1}{4}} \left(4 b \,x^{2}+a \right) x}{5 \left(c x \right)^{\frac{7}{2}} a^{2}}"," ",0,"-2/5*x*(-b*x^2+a)^(1/4)*(4*b*x^2+a)/a^2/(c*x)^(7/2)","A"
984,1,43,70,0.006000," ","int(1/(c*x)^(11/2)/(-b*x^2+a)^(3/4),x)","-\frac{2 \left(-b \,x^{2}+a \right)^{\frac{1}{4}} \left(32 b^{2} x^{4}+8 a b \,x^{2}+5 a^{2}\right) x}{45 \left(c x \right)^{\frac{11}{2}} a^{3}}"," ",0,"-2/45*x*(-b*x^2+a)^(1/4)*(32*b^2*x^4+8*a*b*x^2+5*a^2)/a^3/(c*x)^(11/2)","A"
985,0,0,106,0.328000," ","int((c*x)^(7/2)/(b*x^2+a)^(5/4),x)","\int \frac{\left(c x \right)^{\frac{7}{2}}}{\left(b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int((c*x)^(7/2)/(b*x^2+a)^(5/4),x)","F"
986,0,0,79,0.280000," ","int((c*x)^(3/2)/(b*x^2+a)^(5/4),x)","\int \frac{\left(c x \right)^{\frac{3}{2}}}{\left(b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int((c*x)^(3/2)/(b*x^2+a)^(5/4),x)","F"
987,1,21,22,0.005000," ","int(1/(c*x)^(1/2)/(b*x^2+a)^(5/4),x)","\frac{2 x}{\left(b \,x^{2}+a \right)^{\frac{1}{4}} \sqrt{c x}\, a}"," ",0,"2*x/(b*x^2+a)^(1/4)/a/(c*x)^(1/2)","A"
988,1,29,45,0.006000," ","int(1/(c*x)^(5/2)/(b*x^2+a)^(5/4),x)","-\frac{2 \left(4 b \,x^{2}+a \right) x}{3 \left(b \,x^{2}+a \right)^{\frac{1}{4}} \left(c x \right)^{\frac{5}{2}} a^{2}}"," ",0,"-2/3*x*(4*b*x^2+a)/(b*x^2+a)^(1/4)/a^2/(c*x)^(5/2)","A"
989,1,42,67,0.007000," ","int(1/(c*x)^(9/2)/(b*x^2+a)^(5/4),x)","-\frac{2 \left(-32 b^{2} x^{4}-8 a b \,x^{2}+3 a^{2}\right) x}{21 \left(b \,x^{2}+a \right)^{\frac{1}{4}} \left(c x \right)^{\frac{9}{2}} a^{3}}"," ",0,"-2/21*x*(-32*b^2*x^4-8*a*b*x^2+3*a^2)/(b*x^2+a)^(1/4)/a^3/(c*x)^(9/2)","A"
990,1,53,89,0.007000," ","int(1/(c*x)^(13/2)/(b*x^2+a)^(5/4),x)","-\frac{2 \left(128 b^{3} x^{6}+32 a \,b^{2} x^{4}-12 a^{2} b \,x^{2}+7 a^{3}\right) x}{77 \left(b \,x^{2}+a \right)^{\frac{1}{4}} \left(c x \right)^{\frac{13}{2}} a^{4}}"," ",0,"-2/77*x*(128*b^3*x^6+32*a*b^2*x^4-12*a^2*b*x^2+7*a^3)/(b*x^2+a)^(1/4)/a^4/(c*x)^(13/2)","A"
991,0,0,152,0.329000," ","int((c*x)^(13/2)/(b*x^2+a)^(5/4),x)","\int \frac{\left(c x \right)^{\frac{13}{2}}}{\left(b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int((c*x)^(13/2)/(b*x^2+a)^(5/4),x)","F"
992,0,0,127,0.327000," ","int((c*x)^(9/2)/(b*x^2+a)^(5/4),x)","\int \frac{\left(c x \right)^{\frac{9}{2}}}{\left(b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int((c*x)^(9/2)/(b*x^2+a)^(5/4),x)","F"
993,0,0,103,0.280000," ","int((c*x)^(5/2)/(b*x^2+a)^(5/4),x)","\int \frac{\left(c x \right)^{\frac{5}{2}}}{\left(b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int((c*x)^(5/2)/(b*x^2+a)^(5/4),x)","F"
994,0,0,80,0.281000," ","int((c*x)^(1/2)/(b*x^2+a)^(5/4),x)","\int \frac{\sqrt{c x}}{\left(b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int((c*x)^(1/2)/(b*x^2+a)^(5/4),x)","F"
995,0,0,106,0.328000," ","int(1/(c*x)^(3/2)/(b*x^2+a)^(5/4),x)","\int \frac{1}{\left(c x \right)^{\frac{3}{2}} \left(b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(1/(c*x)^(3/2)/(b*x^2+a)^(5/4),x)","F"
996,0,0,129,0.330000," ","int(1/(c*x)^(7/2)/(b*x^2+a)^(5/4),x)","\int \frac{1}{\left(c x \right)^{\frac{7}{2}} \left(b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(1/(c*x)^(7/2)/(b*x^2+a)^(5/4),x)","F"
997,0,0,154,0.336000," ","int(1/(c*x)^(11/2)/(b*x^2+a)^(5/4),x)","\int \frac{1}{\left(c x \right)^{\frac{11}{2}} \left(b \,x^{2}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(1/(c*x)^(11/2)/(b*x^2+a)^(5/4),x)","F"
998,0,0,46,0.323000," ","int((c*x)^(5/4)/(b*x^2+a)^(1/4),x)","\int \frac{\left(c x \right)^{\frac{5}{4}}}{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int((c*x)^(5/4)/(b*x^2+a)^(1/4),x)","F"
999,0,0,46,0.280000," ","int((c*x)^(3/4)/(b*x^2+a)^(1/4),x)","\int \frac{\left(c x \right)^{\frac{3}{4}}}{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int((c*x)^(3/4)/(b*x^2+a)^(1/4),x)","F"
1000,0,0,46,0.282000," ","int((c*x)^(1/4)/(b*x^2+a)^(1/4),x)","\int \frac{\left(c x \right)^{\frac{1}{4}}}{\left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int((c*x)^(1/4)/(b*x^2+a)^(1/4),x)","F"
1001,0,0,46,0.286000," ","int(1/(c*x)^(1/4)/(b*x^2+a)^(1/4),x)","\int \frac{1}{\left(c x \right)^{\frac{1}{4}} \left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(c*x)^(1/4)/(b*x^2+a)^(1/4),x)","F"
1002,0,0,46,0.285000," ","int(1/(c*x)^(3/4)/(b*x^2+a)^(1/4),x)","\int \frac{1}{\left(c x \right)^{\frac{3}{4}} \left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(c*x)^(3/4)/(b*x^2+a)^(1/4),x)","F"
1003,0,0,46,0.379000," ","int(1/(c*x)^(5/4)/(b*x^2+a)^(1/4),x)","\int \frac{1}{\left(c x \right)^{\frac{5}{4}} \left(b \,x^{2}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(c*x)^(5/4)/(b*x^2+a)^(1/4),x)","F"
1004,0,0,49,0.335000," ","int((c*x)^(5/4)/(b*x^2+a)^(7/4),x)","\int \frac{\left(c x \right)^{\frac{5}{4}}}{\left(b \,x^{2}+a \right)^{\frac{7}{4}}}\, dx"," ",0,"int((c*x)^(5/4)/(b*x^2+a)^(7/4),x)","F"
1005,0,0,49,0.304000," ","int((c*x)^(3/4)/(b*x^2+a)^(7/4),x)","\int \frac{\left(c x \right)^{\frac{3}{4}}}{\left(b \,x^{2}+a \right)^{\frac{7}{4}}}\, dx"," ",0,"int((c*x)^(3/4)/(b*x^2+a)^(7/4),x)","F"
1006,0,0,49,0.281000," ","int((c*x)^(1/4)/(b*x^2+a)^(7/4),x)","\int \frac{\left(c x \right)^{\frac{1}{4}}}{\left(b \,x^{2}+a \right)^{\frac{7}{4}}}\, dx"," ",0,"int((c*x)^(1/4)/(b*x^2+a)^(7/4),x)","F"
1007,0,0,49,0.286000," ","int(1/(c*x)^(1/4)/(b*x^2+a)^(7/4),x)","\int \frac{1}{\left(c x \right)^{\frac{1}{4}} \left(b \,x^{2}+a \right)^{\frac{7}{4}}}\, dx"," ",0,"int(1/(c*x)^(1/4)/(b*x^2+a)^(7/4),x)","F"
1008,0,0,49,0.281000," ","int(1/(c*x)^(3/4)/(b*x^2+a)^(7/4),x)","\int \frac{1}{\left(c x \right)^{\frac{3}{4}} \left(b \,x^{2}+a \right)^{\frac{7}{4}}}\, dx"," ",0,"int(1/(c*x)^(3/4)/(b*x^2+a)^(7/4),x)","F"
1009,0,0,49,0.362000," ","int(1/(c*x)^(5/4)/(b*x^2+a)^(7/4),x)","\int \frac{1}{\left(c x \right)^{\frac{5}{4}} \left(b \,x^{2}+a \right)^{\frac{7}{4}}}\, dx"," ",0,"int(1/(c*x)^(5/4)/(b*x^2+a)^(7/4),x)","F"
1010,0,0,287,0.335000," ","int(x^6*(b*x^2+a)^(1/6),x)","\int \left(b \,x^{2}+a \right)^{\frac{1}{6}} x^{6}\, dx"," ",0,"int(x^6*(b*x^2+a)^(1/6),x)","F"
1011,0,0,267,0.303000," ","int(x^4*(b*x^2+a)^(1/6),x)","\int \left(b \,x^{2}+a \right)^{\frac{1}{6}} x^{4}\, dx"," ",0,"int(x^4*(b*x^2+a)^(1/6),x)","F"
1012,0,0,247,0.305000," ","int(x^2*(b*x^2+a)^(1/6),x)","\int \left(b \,x^{2}+a \right)^{\frac{1}{6}} x^{2}\, dx"," ",0,"int(x^2*(b*x^2+a)^(1/6),x)","F"
1013,0,0,227,0.330000," ","int((b*x^2+a)^(1/6),x)","\int \left(b \,x^{2}+a \right)^{\frac{1}{6}}\, dx"," ",0,"int((b*x^2+a)^(1/6),x)","F"
1014,0,0,225,0.308000," ","int((b*x^2+a)^(1/6)/x^2,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{6}}}{x^{2}}\, dx"," ",0,"int((b*x^2+a)^(1/6)/x^2,x)","F"
1015,0,0,247,0.309000," ","int((b*x^2+a)^(1/6)/x^4,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{6}}}{x^{4}}\, dx"," ",0,"int((b*x^2+a)^(1/6)/x^4,x)","F"
1016,0,0,269,0.308000," ","int((b*x^2+a)^(1/6)/x^6,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{6}}}{x^{6}}\, dx"," ",0,"int((b*x^2+a)^(1/6)/x^6,x)","F"
1017,0,0,289,0.309000," ","int((b*x^2+a)^(1/6)/x^8,x)","\int \frac{\left(b \,x^{2}+a \right)^{\frac{1}{6}}}{x^{8}}\, dx"," ",0,"int((b*x^2+a)^(1/6)/x^8,x)","F"
1018,0,0,551,0.313000," ","int(x^6/(b*x^2+a)^(1/6),x)","\int \frac{x^{6}}{\left(b \,x^{2}+a \right)^{\frac{1}{6}}}\, dx"," ",0,"int(x^6/(b*x^2+a)^(1/6),x)","F"
1019,0,0,531,0.303000," ","int(x^4/(b*x^2+a)^(1/6),x)","\int \frac{x^{4}}{\left(b \,x^{2}+a \right)^{\frac{1}{6}}}\, dx"," ",0,"int(x^4/(b*x^2+a)^(1/6),x)","F"
1020,0,0,511,0.302000," ","int(x^2/(b*x^2+a)^(1/6),x)","\int \frac{x^{2}}{\left(b \,x^{2}+a \right)^{\frac{1}{6}}}\, dx"," ",0,"int(x^2/(b*x^2+a)^(1/6),x)","F"
1021,0,0,483,0.314000," ","int(1/(b*x^2+a)^(1/6),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{6}}}\, dx"," ",0,"int(1/(b*x^2+a)^(1/6),x)","F"
1022,0,0,494,0.302000," ","int(1/x^2/(b*x^2+a)^(1/6),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{6}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^2+a)^(1/6),x)","F"
1023,0,0,529,0.306000," ","int(1/x^4/(b*x^2+a)^(1/6),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{6}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x^2+a)^(1/6),x)","F"
1024,0,0,553,0.306000," ","int(1/x^6/(b*x^2+a)^(1/6),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{1}{6}} x^{6}}\, dx"," ",0,"int(1/x^6/(b*x^2+a)^(1/6),x)","F"
1025,0,0,270,0.313000," ","int(x^6/(b*x^2+a)^(5/6),x)","\int \frac{x^{6}}{\left(b \,x^{2}+a \right)^{\frac{5}{6}}}\, dx"," ",0,"int(x^6/(b*x^2+a)^(5/6),x)","F"
1026,0,0,250,0.312000," ","int(x^4/(b*x^2+a)^(5/6),x)","\int \frac{x^{4}}{\left(b \,x^{2}+a \right)^{\frac{5}{6}}}\, dx"," ",0,"int(x^4/(b*x^2+a)^(5/6),x)","F"
1027,0,0,230,0.322000," ","int(x^2/(b*x^2+a)^(5/6),x)","\int \frac{x^{2}}{\left(b \,x^{2}+a \right)^{\frac{5}{6}}}\, dx"," ",0,"int(x^2/(b*x^2+a)^(5/6),x)","F"
1028,0,0,212,0.327000," ","int(1/(b*x^2+a)^(5/6),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{5}{6}}}\, dx"," ",0,"int(1/(b*x^2+a)^(5/6),x)","F"
1029,0,0,231,0.326000," ","int(1/x^2/(b*x^2+a)^(5/6),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{5}{6}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^2+a)^(5/6),x)","F"
1030,0,0,250,0.309000," ","int(1/x^4/(b*x^2+a)^(5/6),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{5}{6}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x^2+a)^(5/6),x)","F"
1031,0,0,272,0.310000," ","int(1/x^6/(b*x^2+a)^(5/6),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{5}{6}} x^{6}}\, dx"," ",0,"int(1/x^6/(b*x^2+a)^(5/6),x)","F"
1032,0,0,548,0.332000," ","int(x^6/(b*x^2+a)^(7/6),x)","\int \frac{x^{6}}{\left(b \,x^{2}+a \right)^{\frac{7}{6}}}\, dx"," ",0,"int(x^6/(b*x^2+a)^(7/6),x)","F"
1033,0,0,528,0.335000," ","int(x^4/(b*x^2+a)^(7/6),x)","\int \frac{x^{4}}{\left(b \,x^{2}+a \right)^{\frac{7}{6}}}\, dx"," ",0,"int(x^4/(b*x^2+a)^(7/6),x)","F"
1034,0,0,489,0.324000," ","int(x^2/(b*x^2+a)^(7/6),x)","\int \frac{x^{2}}{\left(b \,x^{2}+a \right)^{\frac{7}{6}}}\, dx"," ",0,"int(x^2/(b*x^2+a)^(7/6),x)","F"
1035,0,0,467,0.327000," ","int(1/(b*x^2+a)^(7/6),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{7}{6}}}\, dx"," ",0,"int(1/(b*x^2+a)^(7/6),x)","F"
1036,0,0,522,0.335000," ","int(1/x^2/(b*x^2+a)^(7/6),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{7}{6}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^2+a)^(7/6),x)","F"
1037,0,0,546,0.335000," ","int(1/x^4/(b*x^2+a)^(7/6),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{7}{6}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x^2+a)^(7/6),x)","F"
1038,0,0,570,0.325000," ","int(1/x^6/(b*x^2+a)^(7/6),x)","\int \frac{1}{\left(b \,x^{2}+a \right)^{\frac{7}{6}} x^{6}}\, dx"," ",0,"int(1/x^6/(b*x^2+a)^(7/6),x)","F"
1039,1,132,92,0.006000," ","int(x^7*(b*x^2+a)^p,x)","-\frac{\left(-b^{3} p^{3} x^{6}-6 b^{3} p^{2} x^{6}-11 b^{3} p \,x^{6}+3 a \,b^{2} p^{2} x^{4}-6 b^{3} x^{6}+9 a \,b^{2} p \,x^{4}+6 a \,b^{2} x^{4}-6 a^{2} b p \,x^{2}-6 a^{2} b \,x^{2}+6 a^{3}\right) \left(b \,x^{2}+a \right)^{p +1}}{2 \left(p^{4}+10 p^{3}+35 p^{2}+50 p +24\right) b^{4}}"," ",0,"-1/2*(b*x^2+a)^(p+1)*(-b^3*p^3*x^6-6*b^3*p^2*x^6-11*b^3*p*x^6+3*a*b^2*p^2*x^4-6*b^3*x^6+9*a*b^2*p*x^4+6*a*b^2*x^4-6*a^2*b*p*x^2-6*a^2*b*x^2+6*a^3)/b^4/(p^4+10*p^3+35*p^2+50*p+24)","A"
1040,1,80,68,0.006000," ","int(x^5*(b*x^2+a)^p,x)","\frac{\left(b^{2} p^{2} x^{4}+3 b^{2} p \,x^{4}+2 b^{2} x^{4}-2 a b p \,x^{2}-2 a b \,x^{2}+2 a^{2}\right) \left(b \,x^{2}+a \right)^{p +1}}{2 \left(p^{3}+6 p^{2}+11 p +6\right) b^{3}}"," ",0,"1/2*(b*x^2+a)^(p+1)*(b^2*p^2*x^4+3*b^2*p*x^4+2*b^2*x^4-2*a*b*p*x^2-2*a*b*x^2+2*a^2)/b^3/(p^3+6*p^2+11*p+6)","A"
1041,1,42,44,0.004000," ","int(x^3*(b*x^2+a)^p,x)","-\frac{\left(-x^{2} p b -b \,x^{2}+a \right) \left(b \,x^{2}+a \right)^{p +1}}{2 \left(p^{2}+3 p +2\right) b^{2}}"," ",0,"-1/2*(b*x^2+a)^(p+1)*(-b*p*x^2-b*x^2+a)/b^2/(p^2+3*p+2)","A"
1042,1,22,21,0.002000," ","int(x*(b*x^2+a)^p,x)","\frac{\left(b \,x^{2}+a \right)^{p +1}}{2 \left(p +1\right) b}"," ",0,"1/2*(b*x^2+a)^(p+1)/b/(p+1)","A"
1043,0,0,41,0.288000," ","int((b*x^2+a)^p/x,x)","\int \frac{\left(b \,x^{2}+a \right)^{p}}{x}\, dx"," ",0,"int((b*x^2+a)^p/x,x)","F"
1044,0,0,42,0.282000," ","int((b*x^2+a)^p/x^3,x)","\int \frac{\left(b \,x^{2}+a \right)^{p}}{x^{3}}\, dx"," ",0,"int((b*x^2+a)^p/x^3,x)","F"
1045,0,0,36,0.282000," ","int(x^6*(b*x^2+a)^p,x)","\int x^{6} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^6*(b*x^2+a)^p,x)","F"
1046,0,0,36,0.283000," ","int(x^4*(b*x^2+a)^p,x)","\int x^{4} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^4*(b*x^2+a)^p,x)","F"
1047,0,0,36,0.290000," ","int(x^2*(b*x^2+a)^p,x)","\int x^{2} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^2*(b*x^2+a)^p,x)","F"
1048,0,0,33,0.284000," ","int((b*x^2+a)^p,x)","\int \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int((b*x^2+a)^p,x)","F"
1049,0,0,36,0.284000," ","int((b*x^2+a)^p/x^2,x)","\int \frac{\left(b \,x^{2}+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*x^2+a)^p/x^2,x)","F"
1050,0,0,36,0.285000," ","int(x^(7/2)*(b*x^2+a)^p,x)","\int x^{\frac{7}{2}} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^(7/2)*(b*x^2+a)^p,x)","F"
1051,0,0,36,0.282000," ","int(x^(5/2)*(b*x^2+a)^p,x)","\int x^{\frac{5}{2}} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^(5/2)*(b*x^2+a)^p,x)","F"
1052,0,0,36,0.306000," ","int(x^(3/2)*(b*x^2+a)^p,x)","\int x^{\frac{3}{2}} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^(3/2)*(b*x^2+a)^p,x)","F"
1053,0,0,36,0.286000," ","int(x^(1/2)*(b*x^2+a)^p,x)","\int \sqrt{x}\, \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^(1/2)*(b*x^2+a)^p,x)","F"
1054,0,0,36,0.294000," ","int((b*x^2+a)^p/x^(1/2),x)","\int \frac{\left(b \,x^{2}+a \right)^{p}}{\sqrt{x}}\, dx"," ",0,"int((b*x^2+a)^p/x^(1/2),x)","F"
1055,0,0,36,0.283000," ","int((b*x^2+a)^p/x^(3/2),x)","\int \frac{\left(b \,x^{2}+a \right)^{p}}{x^{\frac{3}{2}}}\, dx"," ",0,"int((b*x^2+a)^p/x^(3/2),x)","F"
1056,0,0,36,0.291000," ","int((b*x^2+a)^p/x^(5/2),x)","\int \frac{\left(b \,x^{2}+a \right)^{p}}{x^{\frac{5}{2}}}\, dx"," ",0,"int((b*x^2+a)^p/x^(5/2),x)","F"
1057,0,0,36,0.283000," ","int((b*x^2+a)^p/x^(7/2),x)","\int \frac{\left(b \,x^{2}+a \right)^{p}}{x^{\frac{7}{2}}}\, dx"," ",0,"int((b*x^2+a)^p/x^(7/2),x)","F"
1058,0,0,49,0.282000," ","int(x^m*(b*x^2+a)^p,x)","\int x^{m} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^m*(b*x^2+a)^p,x)","F"
1059,0,0,64,0.283000," ","int((c*x)^m*(b*x^2+a)^p,x)","\int \left(c x \right)^{m} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int((c*x)^m*(b*x^2+a)^p,x)","F"
1060,0,0,49,0.283000," ","int(x^(-8-2*p)*(b*x^2+a)^p,x)","\int x^{-2 p -8} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^(-8-2*p)*(b*x^2+a)^p,x)","F"
1061,1,81,109,0.006000," ","int(x^(-7-2*p)*(b*x^2+a)^p,x)","-\frac{\left(2 b^{2} x^{4}-2 a b p \,x^{2}+a^{2} p^{2}-2 a b \,x^{2}+3 a^{2} p +2 a^{2}\right) x^{-2 p -6} \left(b \,x^{2}+a \right)^{p +1}}{2 \left(p +3\right) \left(p +2\right) \left(p +1\right) a^{3}}"," ",0,"-1/2*(b*x^2+a)^(p+1)*x^(-6-2*p)*(2*b^2*x^4-2*a*b*p*x^2+a^2*p^2-2*a*b*x^2+3*a^2*p+2*a^2)/(3+p)/(p+2)/(p+1)/a^3","A"
1062,0,0,49,0.280000," ","int(x^(-2*p-6)*(b*x^2+a)^p,x)","\int x^{-2 p -6} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^(-2*p-6)*(b*x^2+a)^p,x)","F"
1063,1,45,67,0.004000," ","int(x^(-5-2*p)*(b*x^2+a)^p,x)","-\frac{\left(-b \,x^{2}+a p +a \right) x^{-2 p -4} \left(b \,x^{2}+a \right)^{p +1}}{2 \left(p +2\right) \left(p +1\right) a^{2}}"," ",0,"-1/2*(b*x^2+a)^(p+1)*x^(-4-2*p)*(-b*x^2+a*p+a)/(p+2)/(p+1)/a^2","A"
1064,0,0,49,0.333000," ","int(x^(-2*p-4)*(b*x^2+a)^p,x)","\int x^{-2 p -4} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^(-2*p-4)*(b*x^2+a)^p,x)","F"
1065,1,29,30,0.003000," ","int(x^(-3-2*p)*(b*x^2+a)^p,x)","-\frac{x^{-2 p -2} \left(b \,x^{2}+a \right)^{p +1}}{2 \left(p +1\right) a}"," ",0,"-1/2*x^(-2-2*p)*(b*x^2+a)^(p+1)/a/(p+1)","A"
1066,0,0,49,0.286000," ","int(x^(-2*p-2)*(b*x^2+a)^p,x)","\int x^{-2 p -2} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^(-2*p-2)*(b*x^2+a)^p,x)","F"
1067,0,0,45,0.279000," ","int(x^(-1-2*p)*(b*x^2+a)^p,x)","\int x^{-2 p -1} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^(-1-2*p)*(b*x^2+a)^p,x)","F"
1068,0,0,48,0.282000," ","int((b*x^2+a)^p/(x^(2*p)),x)","\int x^{-2 p} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int((b*x^2+a)^p/(x^(2*p)),x)","F"
1069,0,0,49,0.282000," ","int(x^(1-2*p)*(b*x^2+a)^p,x)","\int x^{-2 p +1} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^(1-2*p)*(b*x^2+a)^p,x)","F"
1070,0,0,48,0.283000," ","int(x^(-2*p+2)*(b*x^2+a)^p,x)","\int x^{-2 p +2} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^(-2*p+2)*(b*x^2+a)^p,x)","F"
1071,0,0,49,0.281000," ","int(x^(-2*p+3)*(b*x^2+a)^p,x)","\int x^{-2 p +3} \left(b \,x^{2}+a \right)^{p}\, dx"," ",0,"int(x^(-2*p+3)*(b*x^2+a)^p,x)","F"