1,1,19,22,0.003000," ","int((b*x)^p*(c*x)^m,x)","\frac{x \left(b x \right)^{p} \left(c x \right)^{m}}{m +p +1}"," ",0,"x/(1+m+p)*(b*x)^p*(c*x)^m","A"
2,1,13,12,0.003000," ","int(x^3*(b*x^2)^(1/2),x)","\frac{\sqrt{b \,x^{2}}\, x^{4}}{5}"," ",0,"1/5*x^4*(b*x^2)^(1/2)","A"
3,1,13,12,0.003000," ","int(x^2*(b*x^2)^(1/2),x)","\frac{\sqrt{b \,x^{2}}\, x^{3}}{4}"," ",0,"1/4*x^3*(b*x^2)^(1/2)","A"
4,1,13,12,0.004000," ","int(x*(b*x^2)^(1/2),x)","\frac{\sqrt{b \,x^{2}}\, x^{2}}{3}"," ",0,"1/3*x^2*(b*x^2)^(1/2)","A"
5,1,11,10,0.002000," ","int((b*x^2)^(1/2),x)","\frac{\sqrt{b \,x^{2}}\, x}{2}"," ",0,"1/2*x*(b*x^2)^(1/2)","A"
6,1,8,7,0.002000," ","int((b*x^2)^(1/2)/x,x)","\sqrt{b \,x^{2}}"," ",0,"(b*x^2)^(1/2)","A"
7,1,14,13,0.001000," ","int((b*x^2)^(1/2)/x^2,x)","\frac{\sqrt{b \,x^{2}}\, \ln \left(x \right)}{x}"," ",0,"ln(x)*(b*x^2)^(1/2)/x","A"
8,1,13,12,0.002000," ","int((b*x^2)^(1/2)/x^3,x)","-\frac{\sqrt{b \,x^{2}}}{x^{2}}"," ",0,"-(b*x^2)^(1/2)/x^2","A"
9,1,13,12,0.003000," ","int((b*x^2)^(1/2)/x^4,x)","-\frac{\sqrt{b \,x^{2}}}{2 x^{3}}"," ",0,"-1/2*(b*x^2)^(1/2)/x^3","A"
10,1,13,12,0.001000," ","int((b*x^2)^(1/2)/x^5,x)","-\frac{\sqrt{b \,x^{2}}}{3 x^{4}}"," ",0,"-1/3*(b*x^2)^(1/2)/x^4","A"
11,1,11,10,0.002000," ","int(x^2*(x^2)^(1/2),x)","\frac{\sqrt{x^{2}}\, x^{3}}{4}"," ",0,"1/4*x^3*(x^2)^(1/2)","A"
12,1,13,13,0.001000," ","int(x^2*(b*x^2)^(3/2),x)","\frac{\left(b \,x^{2}\right)^{\frac{3}{2}} x^{3}}{6}"," ",0,"1/6*x^3*(b*x^2)^(3/2)","A"
13,1,13,13,0.002000," ","int(x*(b*x^2)^(3/2),x)","\frac{\left(b \,x^{2}\right)^{\frac{3}{2}} x^{2}}{5}"," ",0,"1/5*x^2*(b*x^2)^(3/2)","A"
14,1,11,13,0.002000," ","int((b*x^2)^(3/2),x)","\frac{\left(b \,x^{2}\right)^{\frac{3}{2}} x}{4}"," ",0,"1/4*x*(b*x^2)^(3/2)","A"
15,1,10,13,0.003000," ","int((b*x^2)^(3/2)/x,x)","\frac{\left(b \,x^{2}\right)^{\frac{3}{2}}}{3}"," ",0,"1/3*(b*x^2)^(3/2)","A"
16,1,13,11,0.002000," ","int((b*x^2)^(3/2)/x^2,x)","\frac{\left(b \,x^{2}\right)^{\frac{3}{2}}}{2 x}"," ",0,"1/2*(b*x^2)^(3/2)/x","A"
17,1,12,9,0.002000," ","int((b*x^2)^(3/2)/x^3,x)","\frac{\left(b \,x^{2}\right)^{\frac{3}{2}}}{x^{2}}"," ",0,"(b*x^2)^(3/2)/x^2","A"
18,1,14,14,0.003000," ","int((b*x^2)^(3/2)/x^4,x)","\frac{\left(b \,x^{2}\right)^{\frac{3}{2}} \ln \left(x \right)}{x^{3}}"," ",0,"(b*x^2)^(3/2)/x^3*ln(x)","A"
19,1,13,13,0.002000," ","int((b*x^2)^(3/2)/x^5,x)","-\frac{\left(b \,x^{2}\right)^{\frac{3}{2}}}{x^{4}}"," ",0,"-(b*x^2)^(3/2)/x^4","A"
20,1,13,13,0.001000," ","int((b*x^2)^(3/2)/x^6,x)","-\frac{\left(b \,x^{2}\right)^{\frac{3}{2}}}{2 x^{5}}"," ",0,"-1/2*(b*x^2)^(3/2)/x^5","A"
21,1,13,13,0.003000," ","int((b*x^2)^(3/2)/x^7,x)","-\frac{\left(b \,x^{2}\right)^{\frac{3}{2}}}{3 x^{6}}"," ",0,"-1/3*(b*x^2)^(3/2)/x^6","A"
22,1,9,10,0.002000," ","int((x^2)^(5/2),x)","\frac{\left(x^{2}\right)^{\frac{5}{2}} x}{6}"," ",0,"1/6*x*(x^2)^(5/2)","A"
23,1,13,15,0.001000," ","int(x*(b*x^2)^(5/2),x)","\frac{\left(b \,x^{2}\right)^{\frac{5}{2}} x^{2}}{7}"," ",0,"1/7*x^2*(b*x^2)^(5/2)","A"
24,1,11,15,0.003000," ","int((b*x^2)^(5/2),x)","\frac{\left(b \,x^{2}\right)^{\frac{5}{2}} x}{6}"," ",0,"1/6*x*(b*x^2)^(5/2)","A"
25,1,10,15,0.003000," ","int((b*x^2)^(5/2)/x,x)","\frac{\left(b \,x^{2}\right)^{\frac{5}{2}}}{5}"," ",0,"1/5*(b*x^2)^(5/2)","A"
26,1,13,15,0.003000," ","int((b*x^2)^(5/2)/x^2,x)","\frac{\left(b \,x^{2}\right)^{\frac{5}{2}}}{4 x}"," ",0,"1/4*(b*x^2)^(5/2)/x","A"
27,1,13,15,0.001000," ","int((b*x^2)^(5/2)/x^3,x)","\frac{\left(b \,x^{2}\right)^{\frac{5}{2}}}{3 x^{2}}"," ",0,"1/3*(b*x^2)^(5/2)/x^2","A"
28,1,13,13,0.002000," ","int((b*x^2)^(5/2)/x^4,x)","\frac{\left(b \,x^{2}\right)^{\frac{5}{2}}}{2 x^{3}}"," ",0,"1/2*(b*x^2)^(5/2)/x^3","A"
29,1,12,11,0.001000," ","int((b*x^2)^(5/2)/x^5,x)","\frac{\left(b \,x^{2}\right)^{\frac{5}{2}}}{x^{4}}"," ",0,"(b*x^2)^(5/2)/x^4","A"
30,1,14,16,0.003000," ","int((b*x^2)^(5/2)/x^6,x)","\frac{\left(b \,x^{2}\right)^{\frac{5}{2}} \ln \left(x \right)}{x^{5}}"," ",0,"(b*x^2)^(5/2)/x^5*ln(x)","A"
31,1,13,15,0.002000," ","int((b*x^2)^(5/2)/x^7,x)","-\frac{\left(b \,x^{2}\right)^{\frac{5}{2}}}{x^{6}}"," ",0,"-(b*x^2)^(5/2)/x^6","A"
32,1,13,15,0.002000," ","int((b*x^2)^(5/2)/x^8,x)","-\frac{\left(b \,x^{2}\right)^{\frac{5}{2}}}{2 x^{7}}"," ",0,"-1/2*(b*x^2)^(5/2)/x^7","A"
33,1,13,15,0.003000," ","int((b*x^2)^(5/2)/x^9,x)","-\frac{\left(b \,x^{2}\right)^{\frac{5}{2}}}{3 x^{8}}"," ",0,"-1/3*(b*x^2)^(5/2)/x^8","A"
34,1,9,10,0.002000," ","int((x^2)^(7/2),x)","\frac{\left(x^{2}\right)^{\frac{7}{2}} x}{8}"," ",0,"1/8*x*(x^2)^(7/2)","A"
35,1,13,12,0.003000," ","int(x^3/(b*x^2)^(1/2),x)","\frac{x^{4}}{3 \sqrt{b \,x^{2}}}"," ",0,"1/3*x^4/(b*x^2)^(1/2)","A"
36,1,12,11,0.001000," ","int(x/(b*x^2)^(1/2),x)","\frac{x^{2}}{\sqrt{b \,x^{2}}}"," ",0,"x^2/(b*x^2)^(1/2)","A"
37,1,10,9,0.001000," ","int(1/x/(b*x^2)^(1/2),x)","-\frac{1}{\sqrt{b \,x^{2}}}"," ",0,"-1/(b*x^2)^(1/2)","A"
38,1,13,12,0.004000," ","int(1/x^3/(b*x^2)^(1/2),x)","-\frac{1}{3 \sqrt{b \,x^{2}}\, x^{2}}"," ",0,"-1/3/x^2/(b*x^2)^(1/2)","A"
39,1,13,12,0.001000," ","int(1/(b*x^2)^(1/2)*x^2,x)","\frac{x^{3}}{2 \sqrt{b \,x^{2}}}"," ",0,"1/2*x^3/(b*x^2)^(1/2)","A"
40,1,12,11,0.003000," ","int(1/(b*x^2)^(1/2),x)","\frac{x \ln \left(x \right)}{\sqrt{b \,x^{2}}}"," ",0,"x*ln(x)/(b*x^2)^(1/2)","A"
41,1,13,12,0.002000," ","int(1/(b*x^2)^(1/2)/x^2,x)","-\frac{1}{2 \sqrt{b \,x^{2}}\, x}"," ",0,"-1/2/x/(b*x^2)^(1/2)","A"
42,1,13,15,0.003000," ","int(x^5/(b*x^2)^(3/2),x)","\frac{x^{6}}{3 \left(b \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"1/3*x^6/(b*x^2)^(3/2)","A"
43,1,12,14,0.002000," ","int(x^3/(b*x^2)^(3/2),x)","\frac{x^{4}}{\left(b \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"x^4/(b*x^2)^(3/2)","A"
44,1,13,12,0.002000," ","int(x/(b*x^2)^(3/2),x)","-\frac{x^{2}}{\left(b \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"-x^2/(b*x^2)^(3/2)","A"
45,1,10,15,0.002000," ","int(1/x/(b*x^2)^(3/2),x)","-\frac{1}{3 \left(b \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"-1/3/(b*x^2)^(3/2)","A"
46,1,13,15,0.003000," ","int(1/x^3/(b*x^2)^(3/2),x)","-\frac{1}{5 \left(b \,x^{2}\right)^{\frac{3}{2}} x^{2}}"," ",0,"-1/5/x^2/(b*x^2)^(3/2)","A"
47,1,13,15,0.003000," ","int(1/(b*x^2)^(3/2)*x^6,x)","\frac{x^{7}}{4 \left(b \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"1/4*x^7/(b*x^2)^(3/2)","A"
48,1,13,15,0.003000," ","int(1/(b*x^2)^(3/2)*x^4,x)","\frac{x^{5}}{2 \left(b \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"1/2*x^5/(b*x^2)^(3/2)","A"
49,1,14,14,0.003000," ","int(1/(b*x^2)^(3/2)*x^2,x)","\frac{x^{3} \ln \left(x \right)}{\left(b \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"1/(b*x^2)^(3/2)*x^3*ln(x)","A"
50,1,11,15,0.001000," ","int(1/(b*x^2)^(3/2),x)","-\frac{x}{2 \left(b \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"-1/2*x/(b*x^2)^(3/2)","A"
51,1,13,15,0.003000," ","int(1/(b*x^2)^(3/2)/x^2,x)","-\frac{1}{4 \left(b \,x^{2}\right)^{\frac{3}{2}} x}"," ",0,"-1/4/x/(b*x^2)^(3/2)","A"
52,1,13,15,0.002000," ","int(x^7/(b*x^2)^(5/2),x)","\frac{x^{8}}{3 \left(b \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"1/3*x^8/(b*x^2)^(5/2)","A"
53,1,12,14,0.002000," ","int(x^5/(b*x^2)^(5/2),x)","\frac{x^{6}}{\left(b \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"x^6/(b*x^2)^(5/2)","A"
54,1,13,12,0.003000," ","int(x^3/(b*x^2)^(5/2),x)","-\frac{x^{4}}{\left(b \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"-x^4/(b*x^2)^(5/2)","A"
55,1,13,15,0.003000," ","int(x/(b*x^2)^(5/2),x)","-\frac{x^{2}}{3 \left(b \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/3*x^2/(b*x^2)^(5/2)","A"
56,1,10,15,0.002000," ","int(1/x/(b*x^2)^(5/2),x)","-\frac{1}{5 \left(b \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/5/(b*x^2)^(5/2)","A"
57,1,13,15,0.003000," ","int(1/(b*x^2)^(5/2)*x^6,x)","\frac{x^{7}}{2 \left(b \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"1/2*x^7/(b*x^2)^(5/2)","A"
58,1,14,14,0.003000," ","int(1/(b*x^2)^(5/2)*x^4,x)","\frac{x^{5} \ln \left(x \right)}{\left(b \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"1/(b*x^2)^(5/2)*x^5*ln(x)","A"
59,1,13,15,0.003000," ","int(1/(b*x^2)^(5/2)*x^2,x)","-\frac{x^{3}}{2 \left(b \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/2*x^3/(b*x^2)^(5/2)","A"
60,1,11,15,0.003000," ","int(1/(b*x^2)^(5/2),x)","-\frac{x}{4 \left(b \,x^{2}\right)^{\frac{5}{2}}}"," ",0,"-1/4*x/(b*x^2)^(5/2)","A"
61,1,13,15,0.003000," ","int(1/x^2/(b*x^2)^(5/2),x)","-\frac{1}{6 \left(b \,x^{2}\right)^{\frac{5}{2}} x}"," ",0,"-1/6/x/(b*x^2)^(5/2)","A"
62,1,20,27,0.003000," ","int((c*x)^m*(b*x^2)^(3/2),x)","\frac{\left(b \,x^{2}\right)^{\frac{3}{2}} x \left(c x \right)^{m}}{m +4}"," ",0,"x/(4+m)*(c*x)^m*(b*x^2)^(3/2)","A"
63,1,20,26,0.002000," ","int((c*x)^m*(b*x^2)^(1/2),x)","\frac{\sqrt{b \,x^{2}}\, x \left(c x \right)^{m}}{m +2}"," ",0,"x/(2+m)*(c*x)^m*(b*x^2)^(1/2)","A"
64,1,18,17,0.001000," ","int((c*x)^m/(b*x^2)^(1/2),x)","\frac{x \left(c x \right)^{m}}{\sqrt{b \,x^{2}}\, m}"," ",0,"x*(c*x)^m/m/(b*x^2)^(1/2)","A"
65,1,20,30,0.001000," ","int((c*x)^m/(b*x^2)^(3/2),x)","\frac{x \left(c x \right)^{m}}{\left(m -2\right) \left(b \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"x/(-2+m)*(c*x)^m/(b*x^2)^(3/2)","A"
66,1,22,21,0.002000," ","int(x^m*(b*x^2)^p,x)","\frac{x^{m +1} \left(b \,x^{2}\right)^{p}}{m +2 p +1}"," ",0,"x^(m+1)*(b*x^2)^p/(1+m+2*p)","A"
67,1,23,22,0.001000," ","int((c*x)^m*(b*x^2)^p,x)","\frac{x \left(b \,x^{2}\right)^{p} \left(c x \right)^{m}}{m +2 p +1}"," ",0,"x*(c*x)^m*(b*x^2)^p/(m+2*p+1)","A"
68,1,21,15,0.027000," ","int(x^(-1-2*p)*(x^2)^p,x)","x \,{\mathrm e}^{p \ln \left(x^{2}\right)} {\mathrm e}^{\left(-2 p -1\right) \ln \left(x \right)} \ln \left(x \right)"," ",0,"x*ln(x)*exp(p*ln(x^2))*exp((-1-2*p)*ln(x))","A"
69,1,18,17,0.002000," ","int(x^3*(b*x^2)^p,x)","\frac{x^{4} \left(b \,x^{2}\right)^{p}}{4+2 p}"," ",0,"1/2*x^4*(b*x^2)^p/(2+p)","A"
70,1,19,18,0.003000," ","int(x^2*(b*x^2)^p,x)","\frac{x^{3} \left(b \,x^{2}\right)^{p}}{2 p +3}"," ",0,"x^3*(b*x^2)^p/(3+2*p)","A"
71,1,18,17,0.001000," ","int(x*(b*x^2)^p,x)","\frac{x^{2} \left(b \,x^{2}\right)^{p}}{2+2 p}"," ",0,"1/2*x^2*(b*x^2)^p/(1+p)","A"
72,1,17,16,0.003000," ","int((b*x^2)^p,x)","\frac{x \left(b \,x^{2}\right)^{p}}{2 p +1}"," ",0,"x*(b*x^2)^p/(1+2*p)","A"
73,1,13,12,0.001000," ","int((b*x^2)^p/x,x)","\frac{\left(b \,x^{2}\right)^{p}}{2 p}"," ",0,"1/2*(b*x^2)^p/p","A"
74,1,19,19,0.002000," ","int((b*x^2)^p/x^2,x)","\frac{\left(b \,x^{2}\right)^{p}}{\left(2 p -1\right) x}"," ",0,"1/x/(2*p-1)*(b*x^2)^p","A"
75,1,18,19,0.002000," ","int((b*x^2)^p/x^3,x)","\frac{\left(b \,x^{2}\right)^{p}}{2 \left(p -1\right) x^{2}}"," ",0,"1/2/x^2/(p-1)*(b*x^2)^p","A"
76,1,19,19,0.002000," ","int((b*x^2)^p/x^4,x)","\frac{\left(b \,x^{2}\right)^{p}}{\left(2 p -3\right) x^{3}}"," ",0,"1/x^3/(2*p-3)*(b*x^2)^p","A"
77,1,11,10,0.003000," ","int((b*x^3)^(1/2),x)","\frac{2 \sqrt{b \,x^{3}}\, x}{5}"," ",0,"2/5*x*(b*x^3)^(1/2)","A"
78,1,11,10,0.000000," ","int((b*x^2)^(1/2),x)","\frac{\sqrt{b \,x^{2}}\, x}{2}"," ",0,"1/2*(b*x^2)^(1/2)*x","A"
79,1,9,10,0.001000," ","int((b*x)^(1/2),x)","\frac{2 \sqrt{b x}\, x}{3}"," ",0,"2/3*x*(b*x)^(1/2)","A"
80,1,11,10,0.002000," ","int((b/x)^(1/2),x)","2 \sqrt{\frac{b}{x}}\, x"," ",0,"2*x*(b/x)^(1/2)","A"
81,1,12,11,0.004000," ","int((b/x^2)^(1/2),x)","\sqrt{\frac{b}{x^{2}}}\, x \ln \left(x \right)"," ",0,"x*ln(x)*(b/x^2)^(1/2)","A"
82,1,11,10,0.002000," ","int((b/x^3)^(1/2),x)","-2 \sqrt{\frac{b}{x^{3}}}\, x"," ",0,"-2*x*(b/x^3)^(1/2)","A"
83,1,11,13,0.003000," ","int((b*x^3)^(3/2),x)","\frac{2 \left(b \,x^{3}\right)^{\frac{3}{2}} x}{11}"," ",0,"2/11*x*(b*x^3)^(3/2)","A"
84,1,11,13,0.000000," ","int((b*x^2)^(3/2),x)","\frac{\left(b \,x^{2}\right)^{\frac{3}{2}} x}{4}"," ",0,"1/4*(b*x^2)^(3/2)*x","A"
85,1,9,10,0.001000," ","int((b*x)^(3/2),x)","\frac{2 \left(b x \right)^{\frac{3}{2}} x}{5}"," ",0,"2/5*x*(b*x)^(3/2)","A"
86,1,11,10,0.001000," ","int((b/x)^(3/2),x)","-2 \left(\frac{b}{x}\right)^{\frac{3}{2}} x"," ",0,"-2*x*(b/x)^(3/2)","A"
87,1,11,13,0.003000," ","int((b/x^2)^(3/2),x)","-\frac{\left(\frac{b}{x^{2}}\right)^{\frac{3}{2}} x}{2}"," ",0,"-1/2*x*(b/x^2)^(3/2)","A"
88,1,11,13,0.004000," ","int((b/x^3)^(3/2),x)","-\frac{2 \left(\frac{b}{x^{3}}\right)^{\frac{3}{2}} x}{7}"," ",0,"-2/7*x*(b/x^3)^(3/2)","A"
89,1,11,10,0.003000," ","int(1/(b*x^3)^(1/2),x)","-\frac{2 x}{\sqrt{b \,x^{3}}}"," ",0,"-2*x/(b*x^3)^(1/2)","A"
90,1,12,11,0.000000," ","int(1/(b*x^2)^(1/2),x)","\frac{x \ln \left(x \right)}{\sqrt{b \,x^{2}}}"," ",0,"1/(b*x^2)^(1/2)*x*ln(x)","A"
91,1,9,10,0.003000," ","int(1/(b*x)^(1/2),x)","\frac{2 x}{\sqrt{b x}}"," ",0,"2*x/(b*x)^(1/2)","A"
92,1,11,10,0.002000," ","int(1/(b/x)^(1/2),x)","\frac{2 x}{3 \sqrt{\frac{b}{x}}}"," ",0,"2/3*x/(b/x)^(1/2)","A"
93,1,11,10,0.003000," ","int(1/(b/x^2)^(1/2),x)","\frac{x}{2 \sqrt{\frac{b}{x^{2}}}}"," ",0,"1/2*x/(b/x^2)^(1/2)","A"
94,1,11,10,0.003000," ","int(1/(b/x^3)^(1/2),x)","\frac{2 x}{5 \sqrt{\frac{b}{x^{3}}}}"," ",0,"2/5*x/(b/x^3)^(1/2)","A"
95,1,11,15,0.001000," ","int(1/(b*x^3)^(3/2),x)","-\frac{2 x}{7 \left(b \,x^{3}\right)^{\frac{3}{2}}}"," ",0,"-2/7*x/(b*x^3)^(3/2)","A"
96,1,11,15,0.000000," ","int(1/(b*x^2)^(3/2),x)","-\frac{x}{2 \left(b \,x^{2}\right)^{\frac{3}{2}}}"," ",0,"-1/2/(b*x^2)^(3/2)*x","A"
97,1,9,10,0.001000," ","int(1/(b*x)^(3/2),x)","-\frac{2 x}{\left(b x \right)^{\frac{3}{2}}}"," ",0,"-2*x/(b*x)^(3/2)","A"
98,1,11,15,0.003000," ","int(1/(b/x)^(3/2),x)","\frac{2 x}{5 \left(\frac{b}{x}\right)^{\frac{3}{2}}}"," ",0,"2/5*x/(b/x)^(3/2)","A"
99,1,11,15,0.003000," ","int(1/(b/x^2)^(3/2),x)","\frac{x}{4 \left(\frac{b}{x^{2}}\right)^{\frac{3}{2}}}"," ",0,"1/4*x/(b/x^2)^(3/2)","A"
100,1,11,15,0.002000," ","int(1/(b/x^3)^(3/2),x)","\frac{2 x}{11 \left(\frac{b}{x^{3}}\right)^{\frac{3}{2}}}"," ",0,"2/11*x/(b/x^3)^(3/2)","A"
101,1,16,15,0.003000," ","int((b*x^n)^(1/3),x)","\frac{3 \left(b \,x^{n}\right)^{\frac{1}{3}} x}{n +3}"," ",0,"3*x*(b*x^n)^(1/3)/(3+n)","A"
102,1,11,10,0.002000," ","int((b*x^3)^(1/3),x)","\frac{\left(b \,x^{3}\right)^{\frac{1}{3}} x}{2}"," ",0,"1/2*x*(b*x^3)^(1/3)","A"
103,1,11,10,0.003000," ","int((b*x^2)^(1/3),x)","\frac{3 \left(b \,x^{2}\right)^{\frac{1}{3}} x}{5}"," ",0,"3/5*x*(b*x^2)^(1/3)","A"
104,1,9,10,0.000000," ","int((b*x)^(1/3),x)","\frac{3 \left(b x \right)^{\frac{1}{3}} x}{4}"," ",0,"3/4*x*(b*x)^(1/3)","A"
105,1,11,10,0.001000," ","int((b/x)^(1/3),x)","\frac{3 \left(\frac{b}{x}\right)^{\frac{1}{3}} x}{2}"," ",0,"3/2*(b/x)^(1/3)*x","A"
106,1,11,10,0.003000," ","int((b/x^2)^(1/3),x)","3 \left(\frac{b}{x^{2}}\right)^{\frac{1}{3}} x"," ",0,"3*(b/x^2)^(1/3)*x","A"
107,1,12,11,0.015000," ","int((b/x^3)^(1/3),x)","\left(\frac{b}{x^{3}}\right)^{\frac{1}{3}} x \ln \left(x \right)"," ",0,"(b/x^3)^(1/3)*x*ln(x)","A"
108,1,11,10,0.003000," ","int((b/x^4)^(1/3),x)","-3 \left(\frac{b}{x^{4}}\right)^{\frac{1}{3}} x"," ",0,"-3*(b/x^4)^(1/3)*x","A"
109,1,18,17,0.001000," ","int((b*x^n)^(2/3),x)","\frac{3 \left(b \,x^{n}\right)^{\frac{2}{3}} x}{2 n +3}"," ",0,"3*x*(b*x^n)^(2/3)/(3+2*n)","A"
110,1,11,10,0.001000," ","int((b*x^2)^(2/3),x)","\frac{3 \left(b \,x^{2}\right)^{\frac{2}{3}} x}{7}"," ",0,"3/7*x*(b*x^2)^(2/3)","A"
111,1,9,10,0.001000," ","int((b*x)^(2/3),x)","\frac{3 \left(b x \right)^{\frac{2}{3}} x}{5}"," ",0,"3/5*x*(b*x)^(2/3)","A"
112,1,11,10,0.002000," ","int((b/x)^(2/3),x)","3 \left(\frac{b}{x}\right)^{\frac{2}{3}} x"," ",0,"3*(b/x)^(2/3)*x","A"
113,1,11,10,0.002000," ","int((b/x^2)^(2/3),x)","-3 \left(\frac{b}{x^{2}}\right)^{\frac{2}{3}} x"," ",0,"-3*(b/x^2)^(2/3)*x","A"
114,1,11,10,0.002000," ","int((b/x^3)^(2/3),x)","-\left(\frac{b}{x^{3}}\right)^{\frac{2}{3}} x"," ",0,"-(b/x^3)^(2/3)*x","A"
115,1,11,10,0.001000," ","int((b/x^4)^(2/3),x)","-\frac{3 \left(\frac{b}{x^{4}}\right)^{\frac{2}{3}} x}{5}"," ",0,"-3/5*(b/x^4)^(2/3)*x","A"
116,1,16,17,0.002000," ","int(1/(b*x^n)^(1/3),x)","-\frac{3 x}{\left(n -3\right) \left(b \,x^{n}\right)^{\frac{1}{3}}}"," ",0,"-3*x/(-3+n)/(b*x^n)^(1/3)","A"
117,1,11,10,0.003000," ","int(1/(b*x^4)^(1/3),x)","-\frac{3 x}{\left(b \,x^{4}\right)^{\frac{1}{3}}}"," ",0,"-3*x/(b*x^4)^(1/3)","A"
118,1,12,11,0.010000," ","int(1/(b*x^3)^(1/3),x)","\frac{x \ln \left(x \right)}{\left(b \,x^{3}\right)^{\frac{1}{3}}}"," ",0,"x*ln(x)/(b*x^3)^(1/3)","A"
119,1,11,10,0.002000," ","int(1/(b*x^2)^(1/3),x)","\frac{3 x}{\left(b \,x^{2}\right)^{\frac{1}{3}}}"," ",0,"3*x/(b*x^2)^(1/3)","A"
120,1,9,10,0.001000," ","int(1/(b*x)^(1/3),x)","\frac{3 x}{2 \left(b x \right)^{\frac{1}{3}}}"," ",0,"3/2*x/(b*x)^(1/3)","A"
121,1,11,10,0.004000," ","int(1/(b/x)^(1/3),x)","\frac{3 x}{4 \left(\frac{b}{x}\right)^{\frac{1}{3}}}"," ",0,"3/4*x/(b/x)^(1/3)","A"
122,1,11,10,0.002000," ","int(1/(b/x^2)^(1/3),x)","\frac{3 x}{5 \left(\frac{b}{x^{2}}\right)^{\frac{1}{3}}}"," ",0,"3/5*x/(b/x^2)^(1/3)","A"
123,1,11,10,0.000000," ","int(1/(b/x^3)^(1/3),x)","\frac{x}{2 \left(\frac{b}{x^{3}}\right)^{\frac{1}{3}}}"," ",0,"1/2*x/(b/x^3)^(1/3)","A"
124,1,18,17,0.002000," ","int(1/(b*x^n)^(2/3),x)","-\frac{3 x}{\left(2 n -3\right) \left(b \,x^{n}\right)^{\frac{2}{3}}}"," ",0,"-3*x/(2*n-3)/(b*x^n)^(2/3)","A"
125,1,11,10,0.002000," ","int(1/(b*x^3)^(2/3),x)","-\frac{x}{\left(b \,x^{3}\right)^{\frac{2}{3}}}"," ",0,"-x/(b*x^3)^(2/3)","A"
126,1,11,10,0.002000," ","int(1/(b*x^2)^(2/3),x)","-\frac{3 x}{\left(b \,x^{2}\right)^{\frac{2}{3}}}"," ",0,"-3*x/(b*x^2)^(2/3)","A"
127,1,9,10,0.003000," ","int(1/(b*x)^(2/3),x)","\frac{3 x}{\left(b x \right)^{\frac{2}{3}}}"," ",0,"3*x/(b*x)^(2/3)","A"
128,1,11,10,0.003000," ","int(1/(b/x)^(2/3),x)","\frac{3 x}{5 \left(\frac{b}{x}\right)^{\frac{2}{3}}}"," ",0,"3/5*x/(b/x)^(2/3)","A"
129,1,11,10,0.001000," ","int(1/(b/x^2)^(2/3),x)","\frac{3 x}{7 \left(\frac{b}{x^{2}}\right)^{\frac{2}{3}}}"," ",0,"3/7*x/(b/x^2)^(2/3)","A"
130,1,11,10,0.004000," ","int(1/(b/x^3)^(2/3),x)","\frac{x}{3 \left(\frac{b}{x^{3}}\right)^{\frac{2}{3}}}"," ",0,"1/3*x/(b/x^3)^(2/3)","A"
131,1,18,17,0.003000," ","int(x^2*(b*x^n)^(1/2),x)","\frac{2 \sqrt{b \,x^{n}}\, x^{3}}{n +6}"," ",0,"2*x^3*(b*x^n)^(1/2)/(6+n)","A"
132,1,18,17,0.001000," ","int(x*(b*x^n)^(1/2),x)","\frac{2 \sqrt{b \,x^{n}}\, x^{2}}{n +4}"," ",0,"2*x^2*(b*x^n)^(1/2)/(4+n)","A"
133,1,16,15,0.003000," ","int((b*x^n)^(1/2),x)","\frac{2 \sqrt{b \,x^{n}}\, x}{n +2}"," ",0,"2*x*(b*x^n)^(1/2)/(2+n)","A"
134,1,13,12,0.001000," ","int((b*x^n)^(1/2)/x,x)","\frac{2 \sqrt{b \,x^{n}}}{n}"," ",0,"2*(b*x^n)^(1/2)/n","A"
135,1,18,19,0.001000," ","int((b*x^n)^(1/2)/x^2,x)","\frac{2 \sqrt{b \,x^{n}}}{\left(n -2\right) x}"," ",0,"2/x/(-2+n)*(b*x^n)^(1/2)","A"
136,1,18,19,0.002000," ","int((b*x^n)^(1/2)/x^3,x)","\frac{2 \sqrt{b \,x^{n}}}{\left(n -4\right) x^{2}}"," ",0,"2/x^2/(-4+n)*(b*x^n)^(1/2)","A"
137,1,20,22,0.002000," ","int(x*(b*x^n)^(3/2),x)","\frac{2 \left(b \,x^{n}\right)^{\frac{3}{2}} x^{2}}{3 n +4}"," ",0,"2*x^2/(4+3*n)*(b*x^n)^(3/2)","A"
138,1,18,22,0.001000," ","int((b*x^n)^(3/2),x)","\frac{2 \left(b \,x^{n}\right)^{\frac{3}{2}} x}{3 n +2}"," ",0,"2*x/(2+3*n)*(b*x^n)^(3/2)","A"
139,1,13,16,0.001000," ","int((b*x^n)^(3/2)/x,x)","\frac{2 \left(b \,x^{n}\right)^{\frac{3}{2}}}{3 n}"," ",0,"2/3/n*(b*x^n)^(3/2)","A"
140,1,20,22,0.003000," ","int((b*x^n)^(3/2)/x^2,x)","\frac{2 \left(b \,x^{n}\right)^{\frac{3}{2}}}{\left(3 n -2\right) x}"," ",0,"2/x/(-2+3*n)*(b*x^n)^(3/2)","A"
141,1,20,22,0.000000," ","int((b*x^n)^(3/2)/x^3,x)","\frac{2 \left(b \,x^{n}\right)^{\frac{3}{2}}}{\left(3 n -4\right) x^{2}}"," ",0,"2/x^2/(3*n-4)*(b*x^n)^(3/2)","A"
142,1,18,22,0.003000," ","int((b*x^n)^(3/2)/x^4,x)","\frac{2 \left(b \,x^{n}\right)^{\frac{3}{2}}}{3 \left(n -2\right) x^{3}}"," ",0,"2/3/x^3/(n-2)*(b*x^n)^(3/2)","A"
143,1,18,19,0.003000," ","int(x^2/(b*x^n)^(1/2),x)","-\frac{2 x^{3}}{\left(n -6\right) \sqrt{b \,x^{n}}}"," ",0,"-2*x^3/(-6+n)/(b*x^n)^(1/2)","A"
144,1,18,19,0.003000," ","int(x/(b*x^n)^(1/2),x)","-\frac{2 x^{2}}{\left(n -4\right) \sqrt{b \,x^{n}}}"," ",0,"-2*x^2/(n-4)/(b*x^n)^(1/2)","A"
145,1,16,17,0.002000," ","int(1/(b*x^n)^(1/2),x)","-\frac{2 x}{\left(n -2\right) \sqrt{b \,x^{n}}}"," ",0,"-2*x/(n-2)/(b*x^n)^(1/2)","A"
146,1,13,12,0.002000," ","int(1/x/(b*x^n)^(1/2),x)","-\frac{2}{\sqrt{b \,x^{n}}\, n}"," ",0,"-2/n/(b*x^n)^(1/2)","A"
147,1,18,17,0.001000," ","int(1/x^2/(b*x^n)^(1/2),x)","-\frac{2}{\left(n +2\right) \sqrt{b \,x^{n}}\, x}"," ",0,"-2/(n+2)/x/(b*x^n)^(1/2)","A"
148,1,18,17,0.002000," ","int(1/x^3/(b*x^n)^(1/2),x)","-\frac{2}{\left(n +4\right) \sqrt{b \,x^{n}}\, x^{2}}"," ",0,"-2/(n+4)/x^2/(b*x^n)^(1/2)","A"
149,1,18,26,0.002000," ","int(x^2/(b*x^n)^(3/2),x)","-\frac{2 x^{3}}{3 \left(n -2\right) \left(b \,x^{n}\right)^{\frac{3}{2}}}"," ",0,"-2/3*x^3/(n-2)/(b*x^n)^(3/2)","A"
150,1,20,26,0.003000," ","int(x/(b*x^n)^(3/2),x)","-\frac{2 x^{2}}{\left(3 n -4\right) \left(b \,x^{n}\right)^{\frac{3}{2}}}"," ",0,"-2*x^2/(3*n-4)/(b*x^n)^(3/2)","A"
151,1,18,26,0.003000," ","int(1/(b*x^n)^(3/2),x)","-\frac{2 x}{\left(3 n -2\right) \left(b \,x^{n}\right)^{\frac{3}{2}}}"," ",0,"-2*x/(3*n-2)/(b*x^n)^(3/2)","A"
152,1,13,20,0.002000," ","int(1/x/(b*x^n)^(3/2),x)","-\frac{2}{3 \left(b \,x^{n}\right)^{\frac{3}{2}} n}"," ",0,"-2/3/n/(b*x^n)^(3/2)","A"
153,1,20,26,0.003000," ","int(1/x^2/(b*x^n)^(3/2),x)","-\frac{2}{\left(3 n +2\right) \left(b \,x^{n}\right)^{\frac{3}{2}} x}"," ",0,"-2/x/(3*n+2)/(b*x^n)^(3/2)","A"
154,1,20,26,0.002000," ","int(1/x^3/(b*x^n)^(3/2),x)","-\frac{2}{\left(3 n +4\right) \left(b \,x^{n}\right)^{\frac{3}{2}} x^{2}}"," ",0,"-2/x^2/(3*n+4)/(b*x^n)^(3/2)","A"
155,1,18,24,0.001000," ","int(1/x^4/(b*x^n)^(3/2),x)","-\frac{2}{3 \left(n +2\right) \left(b \,x^{n}\right)^{\frac{3}{2}} x^{3}}"," ",0,"-2/3/x^3/(n+2)/(b*x^n)^(3/2)","A"
156,1,25,30,0.003000," ","int(x^m/(a*x^n)^(3/2),x)","\frac{2 x^{m +1}}{\left(2 m -3 n +2\right) \left(a \,x^{n}\right)^{\frac{3}{2}}}"," ",0,"2*x^(m+1)/(2+2*m-3*n)/(a*x^n)^(3/2)","A"
157,1,26,34,0.002000," ","int((c*x)^m/(a*x^n)^(3/2),x)","\frac{2 x \left(c x \right)^{m}}{\left(2 m -3 n +2\right) \left(a \,x^{n}\right)^{\frac{3}{2}}}"," ",0,"2*x/(2*m-3*n+2)*(c*x)^m/(a*x^n)^(3/2)","A"
158,1,25,26,0.003000," ","int(x^m*(b*x^n)^(3/2),x)","\frac{2 \left(b \,x^{n}\right)^{\frac{3}{2}} x^{m +1}}{2 m +3 n +2}"," ",0,"2*x^(m+1)/(2+2*m+3*n)*(b*x^n)^(3/2)","A"
159,1,23,22,0.002000," ","int(x^m*(b*x^n)^(1/2),x)","\frac{2 \sqrt{b \,x^{n}}\, x^{m +1}}{2 m +n +2}"," ",0,"2*x^(m+1)*(b*x^n)^(1/2)/(2+2*m+n)","A"
160,1,25,24,0.001000," ","int(x^m/(b*x^n)^(1/2),x)","\frac{2 x^{m +1}}{\left(2 m -n +2\right) \sqrt{b \,x^{n}}}"," ",0,"2*x^(m+1)/(2+2*m-n)/(b*x^n)^(1/2)","A"
161,1,25,30,0.002000," ","int(x^m/(b*x^n)^(3/2),x)","\frac{2 x^{m +1}}{\left(2 m -3 n +2\right) \left(b \,x^{n}\right)^{\frac{3}{2}}}"," ",0,"2*x^(m+1)/(2*m-3*n+2)/(b*x^n)^(3/2)","A"
162,1,26,29,0.003000," ","int((c*x)^m*(b*x^n)^(5/2),x)","\frac{2 \left(b \,x^{n}\right)^{\frac{5}{2}} x \left(c x \right)^{m}}{2 m +5 n +2}"," ",0,"2*x/(2+2*m+5*n)*(c*x)^m*(b*x^n)^(5/2)","A"
163,1,26,30,0.003000," ","int((c*x)^m*(b*x^n)^(3/2),x)","\frac{2 \left(b \,x^{n}\right)^{\frac{3}{2}} x \left(c x \right)^{m}}{2 m +3 n +2}"," ",0,"2*x/(2*m+3*n+2)*(c*x)^m*(b*x^n)^(3/2)","A"
164,1,24,27,0.002000," ","int((c*x)^m*(b*x^n)^(1/2),x)","\frac{2 \sqrt{b \,x^{n}}\, x \left(c x \right)^{m}}{2 m +n +2}"," ",0,"2*x*(c*x)^m*(b*x^n)^(1/2)/(2*m+n+2)","A"
165,1,26,25,0.001000," ","int((c*x)^m/(b*x^n)^(1/2),x)","\frac{2 x \left(c x \right)^{m}}{\left(2 m -n +2\right) \sqrt{b \,x^{n}}}"," ",0,"2*x*(c*x)^m/(2*m-n+2)/(b*x^n)^(1/2)","A"
166,1,26,34,0.002000," ","int((c*x)^m/(b*x^n)^(3/2),x)","\frac{2 x \left(c x \right)^{m}}{\left(2 m -3 n +2\right) \left(b \,x^{n}\right)^{\frac{3}{2}}}"," ",0,"2*x/(2*m-3*n+2)*(c*x)^m/(b*x^n)^(3/2)","A"
167,1,26,34,0.003000," ","int((c*x)^m/(b*x^n)^(5/2),x)","\frac{2 x \left(c x \right)^{m}}{\left(2 m -5 n +2\right) \left(b \,x^{n}\right)^{\frac{5}{2}}}"," ",0,"2*x/(2+2*m-5*n)*(c*x)^m/(b*x^n)^(5/2)","A"
168,1,23,18,0.041000," ","int(x^(-1-3/2*n)*(b*x^n)^(3/2),x)","\sqrt{b \,x^{n}}\, b \,x^{-\frac{n}{2}} \ln \left(x \right)"," ",0,"b/(x^(1/2*n))*(b*(x^(1/2*n))^2)^(1/2)*ln(x)","A"
169,1,22,17,0.032000," ","int(x^(-1-1/2*n)*(b*x^n)^(1/2),x)","\sqrt{b \,x^{n}}\, x^{-\frac{n}{2}} \ln \left(x \right)"," ",0,"(b*(x^(1/2*n))^2)^(1/2)/(x^(1/2*n))*ln(x)","A"
170,1,20,15,0.032000," ","int(x^(-1+1/2*n)/(b*x^n)^(1/2),x)","\frac{x^{\frac{n}{2}} \ln \left(x \right)}{\sqrt{b \,x^{n}}}"," ",0,"1/(b*(x^(1/2*n))^2)^(1/2)*x^(1/2*n)*ln(x)","A"
171,1,23,18,0.028000," ","int(x^(-1+3/2*n)/(b*x^n)^(3/2),x)","\frac{x^{\frac{n}{2}} \ln \left(x \right)}{\sqrt{b \,x^{n}}\, b}"," ",0,"1/b*x^(1/2*n)/(b*(x^(1/2*n))^2)^(1/2)*ln(x)","A"
172,1,22,21,0.002000," ","int(x^m*(b*x^n)^p,x)","\frac{x^{m +1} \left(b \,x^{n}\right)^{p}}{n p +m +1}"," ",0,"x^(m+1)*(b*x^n)^p/(n*p+m+1)","A"
173,1,23,26,0.002000," ","int((c*x)^m*(b*x^n)^p,x)","\frac{x \left(b \,x^{n}\right)^{p} \left(c x \right)^{m}}{n p +m +1}"," ",0,"x*(c*x)^m*(b*x^n)^p/(n*p+m+1)","A"
174,1,19,18,0.002000," ","int(x^2*(b*x^n)^p,x)","\frac{x^{3} \left(b \,x^{n}\right)^{p}}{n p +3}"," ",0,"x^3*(b*x^n)^p/(n*p+3)","A"
175,1,19,18,0.002000," ","int(x*(b*x^n)^p,x)","\frac{x^{2} \left(b \,x^{n}\right)^{p}}{n p +2}"," ",0,"x^2*(b*x^n)^p/(n*p+2)","A"
176,1,17,16,0.001000," ","int((b*x^n)^p,x)","\frac{x \left(b \,x^{n}\right)^{p}}{n p +1}"," ",0,"x*(b*x^n)^p/(n*p+1)","A"
177,1,15,14,0.002000," ","int((b*x^n)^p/x,x)","\frac{\left(b \,x^{n}\right)^{p}}{n p}"," ",0,"(b*x^n)^p/n/p","A"
178,1,19,20,0.003000," ","int((b*x^n)^p/x^2,x)","\frac{\left(b \,x^{n}\right)^{p}}{\left(n p -1\right) x}"," ",0,"1/x/(n*p-1)*(b*x^n)^p","A"
179,1,19,20,0.001000," ","int((b*x^n)^p/x^3,x)","\frac{\left(b \,x^{n}\right)^{p}}{\left(n p -2\right) x^{2}}"," ",0,"1/x^2/(n*p-2)*(b*x^n)^p","A"
180,1,21,20,0.001000," ","int(x^m/((a*x^n)^(1/n)),x)","\frac{x^{m +1} \left(a \,x^{n}\right)^{-\frac{1}{n}}}{m}"," ",0,"x^(m+1)/m/((a*x^n)^(1/n))","A"
181,1,22,21,0.002000," ","int((c*x)^m/((a*x^n)^(1/n)),x)","\frac{x \left(a \,x^{n}\right)^{-\frac{1}{n}} \left(c x \right)^{m}}{m}"," ",0,"x*(c*x)^m/m/((a*x^n)^(1/n))","A"
182,1,17,16,0.002000," ","int(x^2/((a*x^n)^(1/n)),x)","\frac{x^{3} \left(a \,x^{n}\right)^{-\frac{1}{n}}}{2}"," ",0,"1/2*x^3/((a*x^n)^(1/n))","A"
183,0,0,15,0.020000," ","int(x/((a*x^n)^(1/n)),x)","\int x \left(a \,x^{n}\right)^{-\frac{1}{n}}\, dx"," ",0,"int(x/((a*x^n)^(1/n)),x)","F"
184,1,29,15,0.021000," ","int(1/((a*x^n)^(1/n)),x)","\frac{x \,{\mathrm e}^{-\frac{\ln \left(a \,{\mathrm e}^{n \ln \left(x \right)}\right)}{n}} \ln \left(a \,{\mathrm e}^{n \ln \left(x \right)}\right)}{n}"," ",0,"1/n*x*ln(a*exp(n*ln(x)))/exp(1/n*ln(a*exp(n*ln(x))))","A"
185,1,14,13,0.003000," ","int(1/x/((a*x^n)^(1/n)),x)","-\left(a \,x^{n}\right)^{-\frac{1}{n}}"," ",0,"-1/((a*x^n)^(1/n))","A"
186,1,17,16,0.003000," ","int(1/x^2/((a*x^n)^(1/n)),x)","-\frac{\left(a \,x^{n}\right)^{-\frac{1}{n}}}{2 x}"," ",0,"-1/2/x/((a*x^n)^(1/n))","A"
187,0,0,23,0.046000," ","int(x^m/((a*x^n)^((m+1)/n)),x)","\int x^{m} \left(a \,x^{n}\right)^{-\frac{m +1}{n}}\, dx"," ",0,"int(x^m/((a*x^n)^((m+1)/n)),x)","F"
188,0,0,17,0.042000," ","int(x^(-n*p-1)*(a*x^n)^p,x)","\int x^{-n p -1} \left(a \,x^{n}\right)^{p}\, dx"," ",0,"int(x^(-n*p-1)*(a*x^n)^p,x)","F"
189,1,27,26,0.003000," ","int(x^m*(a*(b*x^n)^p)^q,x)","\frac{x^{m +1} \left(a \left(b \,x^{n}\right)^{p}\right)^{q}}{n p q +m +1}"," ",0,"x^(m+1)*(a*(b*x^n)^p)^q/(n*p*q+m+1)","A"
190,1,24,23,0.001000," ","int(x^2*(a*(b*x^n)^p)^q,x)","\frac{x^{3} \left(a \left(b \,x^{n}\right)^{p}\right)^{q}}{n p q +3}"," ",0,"x^3*(a*(b*x^n)^p)^q/(n*p*q+3)","A"
191,1,24,23,0.001000," ","int(x*(a*(b*x^n)^p)^q,x)","\frac{x^{2} \left(a \left(b \,x^{n}\right)^{p}\right)^{q}}{n p q +2}"," ",0,"x^2*(a*(b*x^n)^p)^q/(n*p*q+2)","A"
192,1,22,21,0.002000," ","int((a*(b*x^n)^p)^q,x)","\frac{x \left(a \left(b \,x^{n}\right)^{p}\right)^{q}}{n p q +1}"," ",0,"x*(a*(b*x^n)^p)^q/(n*p*q+1)","A"
193,1,22,21,0.003000," ","int((a*(b*x^n)^p)^q/x,x)","\frac{\left(a \left(b \,x^{n}\right)^{p}\right)^{q}}{n p q}"," ",0,"(a*(b*x^n)^p)^q/n/p/q","A"
194,1,24,25,0.003000," ","int((a*(b*x^n)^p)^q/x^2,x)","\frac{\left(a \left(b \,x^{n}\right)^{p}\right)^{q}}{\left(n p q -1\right) x}"," ",0,"1/x/(n*p*q-1)*(a*(b*x^n)^p)^q","A"
195,1,24,25,0.002000," ","int((a*(b*x^n)^p)^q/x^3,x)","\frac{\left(a \left(b \,x^{n}\right)^{p}\right)^{q}}{\left(n p q -2\right) x^{2}}"," ",0,"1/x^2/(n*p*q-2)*(a*(b*x^n)^p)^q","A"
196,1,25,24,0.001000," ","int(x^2/((a*(b*x^m)^n)^(1/m/n)),x)","\frac{x^{3} \left(a \left(b \,x^{m}\right)^{n}\right)^{-\frac{1}{m n}}}{2}"," ",0,"1/2*x^3/((a*(b*x^m)^n)^(1/m/n))","A"
197,0,0,23,0.109000," ","int(x/((a*(b*x^m)^n)^(1/m/n)),x)","\int x \left(a \left(b \,x^{m}\right)^{n}\right)^{-\frac{1}{m n}}\, dx"," ",0,"int(x/((a*(b*x^m)^n)^(1/m/n)),x)","F"
198,0,0,23,0.046000," ","int(1/((a*(b*x^m)^n)^(1/m/n)),x)","\int \left(a \left(b \,x^{m}\right)^{n}\right)^{-\frac{1}{m n}}\, dx"," ",0,"int(1/((a*(b*x^m)^n)^(1/m/n)),x)","F"
199,1,22,21,0.002000," ","int(1/x/((a*(b*x^m)^n)^(1/m/n)),x)","-\left(a \left(b \,x^{m}\right)^{n}\right)^{-\frac{1}{m n}}"," ",0,"-1/((a*(b*x^m)^n)^(1/m/n))","A"
200,1,25,24,0.003000," ","int(1/x^2/((a*(b*x^m)^n)^(1/m/n)),x)","-\frac{\left(a \left(b \,x^{m}\right)^{n}\right)^{-\frac{1}{m n}}}{2 x}"," ",0,"-1/2/x/((a*(b*x^m)^n)^(1/m/n))","A"
201,1,23,22,0.001000," ","int(x^(-n*p*q+2)*(a*(b*x^n)^p)^q,x)","\frac{x^{-n p q +3} \left(a \left(b \,x^{n}\right)^{p}\right)^{q}}{3}"," ",0,"1/3*x^(-n*p*q+3)*(a*(b*x^n)^p)^q","A"
202,1,23,22,0.002000," ","int(x^(-n*p*q+1)*(a*(b*x^n)^p)^q,x)","\frac{x^{-n p q +2} \left(a \left(b \,x^{n}\right)^{p}\right)^{q}}{2}"," ",0,"1/2*x^(-n*p*q+2)*(a*(b*x^n)^p)^q","A"
203,0,0,21,0.207000," ","int((a*(b*x^n)^p)^q/(x^(n*p*q)),x)","\int x^{-n p q} \left(a \left(b \,x^{n}\right)^{p}\right)^{q}\, dx"," ",0,"int((a*(b*x^n)^p)^q/(x^(n*p*q)),x)","F"
204,0,0,22,0.172000," ","int(x^(-n*p*q-1)*(a*(b*x^n)^p)^q,x)","\int x^{-n p q -1} \left(a \left(b \,x^{n}\right)^{p}\right)^{q}\, dx"," ",0,"int(x^(-n*p*q-1)*(a*(b*x^n)^p)^q,x)","F"
205,1,23,22,0.003000," ","int(x^(-n*p*q-2)*(a*(b*x^n)^p)^q,x)","-x^{-n p q -1} \left(a \left(b \,x^{n}\right)^{p}\right)^{q}"," ",0,"-x^(-n*p*q-1)*(a*(b*x^n)^p)^q","A"
206,1,14,13,0.001000," ","int(x^3*(b*x^3+a),x)","\frac{1}{7} b \,x^{7}+\frac{1}{4} a \,x^{4}"," ",0,"1/4*a*x^4+1/7*b*x^7","A"
207,1,14,13,0.000000," ","int(x^2*(b*x^3+a),x)","\frac{1}{6} b \,x^{6}+\frac{1}{3} a \,x^{3}"," ",0,"1/3*a*x^3+1/6*b*x^6","A"
208,1,14,13,0.000000," ","int(x*(b*x^3+a),x)","\frac{1}{5} b \,x^{5}+\frac{1}{2} a \,x^{2}"," ",0,"1/2*a*x^2+1/5*b*x^5","A"
209,1,11,10,0.000000," ","int(b*x^3+a,x)","\frac{1}{4} b \,x^{4}+a x"," ",0,"a*x+1/4*b*x^4","A"
210,1,12,11,0.002000," ","int((b*x^3+a)/x,x)","\frac{b \,x^{3}}{3}+a \ln \left(x \right)"," ",0,"1/3*b*x^3+a*ln(x)","A"
211,1,14,13,0.003000," ","int((b*x^3+a)/x^2,x)","\frac{b \,x^{2}}{2}-\frac{a}{x}"," ",0,"-a/x+1/2*b*x^2","A"
212,1,11,10,0.003000," ","int((b*x^3+a)/x^3,x)","b x -\frac{a}{2 x^{2}}"," ",0,"-1/2*a/x^2+b*x","A"
213,1,12,11,0.005000," ","int((b*x^3+a)/x^4,x)","b \ln \left(x \right)-\frac{a}{3 x^{3}}"," ",0,"-1/3*a/x^3+b*ln(x)","A"
214,1,14,13,0.005000," ","int((b*x^3+a)/x^5,x)","-\frac{b}{x}-\frac{a}{4 x^{4}}"," ",0,"-1/4*a/x^4-b/x","A"
215,1,14,13,0.006000," ","int((b*x^3+a)/x^6,x)","-\frac{b}{2 x^{2}}-\frac{a}{5 x^{5}}"," ",0,"-1/5*a/x^5-1/2*b/x^2","A"
216,1,14,13,0.005000," ","int((b*x^3+a)/x^7,x)","-\frac{b}{3 x^{3}}-\frac{a}{6 x^{6}}"," ",0,"-1/6*a/x^6-1/3*b/x^3","A"
217,1,14,13,0.005000," ","int((b*x^3+a)/x^8,x)","-\frac{b}{4 x^{4}}-\frac{a}{7 x^{7}}"," ",0,"-1/7*a/x^7-1/4*b/x^4","A"
218,1,25,24,0.000000," ","int(x^4*(b*x^3+a)^2,x)","\frac{1}{11} b^{2} x^{11}+\frac{1}{4} a b \,x^{8}+\frac{1}{5} a^{2} x^{5}"," ",0,"1/5*a^2*x^5+1/4*a*b*x^8+1/11*b^2*x^11","A"
219,1,25,24,0.002000," ","int(x^3*(b*x^3+a)^2,x)","\frac{1}{10} b^{2} x^{10}+\frac{2}{7} a b \,x^{7}+\frac{1}{4} a^{2} x^{4}"," ",0,"1/4*x^4*a^2+2/7*a*b*x^7+1/10*b^2*x^10","A"
220,1,25,14,0.001000," ","int(x^2*(b*x^3+a)^2,x)","\frac{1}{9} b^{2} x^{9}+\frac{1}{3} a b \,x^{6}+\frac{1}{3} a^{2} x^{3}"," ",0,"1/9*b^2*x^9+1/3*a*b*x^6+1/3*a^2*x^3","A"
221,1,25,24,0.001000," ","int(x*(b*x^3+a)^2,x)","\frac{1}{8} b^{2} x^{8}+\frac{2}{5} a b \,x^{5}+\frac{1}{2} a^{2} x^{2}"," ",0,"1/2*a^2*x^2+2/5*a*b*x^5+1/8*b^2*x^8","A"
222,1,22,21,0.001000," ","int((b*x^3+a)^2,x)","\frac{1}{7} b^{2} x^{7}+\frac{1}{2} a b \,x^{4}+a^{2} x"," ",0,"a^2*x+1/2*a*b*x^4+1/7*b^2*x^7","A"
223,1,23,22,0.003000," ","int((b*x^3+a)^2/x,x)","\frac{b^{2} x^{6}}{6}+\frac{2 a b \,x^{3}}{3}+a^{2} \ln \left(x \right)"," ",0,"2/3*a*b*x^3+1/6*b^2*x^6+a^2*ln(x)","A"
224,1,24,23,0.004000," ","int((b*x^3+a)^2/x^2,x)","\frac{b^{2} x^{5}}{5}+a b \,x^{2}-\frac{a^{2}}{x}"," ",0,"-a^2/x+a*b*x^2+1/5*b^2*x^5","A"
225,1,23,22,0.003000," ","int((b*x^3+a)^2/x^3,x)","\frac{b^{2} x^{4}}{4}+2 a b x -\frac{a^{2}}{2 x^{2}}"," ",0,"-1/2*a^2/x^2+2*a*b*x+1/4*b^2*x^4","A"
226,1,24,23,0.006000," ","int((b*x^3+a)^2/x^4,x)","\frac{b^{2} x^{3}}{3}+2 a b \ln \left(x \right)-\frac{a^{2}}{3 x^{3}}"," ",0,"-1/3*a^2/x^3+1/3*b^2*x^3+2*a*b*ln(x)","A"
227,1,25,24,0.005000," ","int((b*x^3+a)^2/x^5,x)","\frac{b^{2} x^{2}}{2}-\frac{2 a b}{x}-\frac{a^{2}}{4 x^{4}}"," ",0,"-1/4*a^2/x^4-2*a*b/x+1/2*b^2*x^2","A"
228,1,22,21,0.007000," ","int((b*x^3+a)^2/x^6,x)","b^{2} x -\frac{a b}{x^{2}}-\frac{a^{2}}{5 x^{5}}"," ",0,"-1/5*a^2/x^5-a*b/x^2+b^2*x","A"
229,1,23,22,0.004000," ","int((b*x^3+a)^2/x^7,x)","b^{2} \ln \left(x \right)-\frac{2 a b}{3 x^{3}}-\frac{a^{2}}{6 x^{6}}"," ",0,"-1/6*a^2/x^6-2/3*a*b/x^3+b^2*ln(x)","A"
230,1,25,24,0.005000," ","int((b*x^3+a)^2/x^8,x)","-\frac{b^{2}}{x}-\frac{a b}{2 x^{4}}-\frac{a^{2}}{7 x^{7}}"," ",0,"-1/7*a^2/x^7-1/2*a*b/x^4-b^2/x","A"
231,1,25,24,0.006000," ","int((b*x^3+a)^2/x^9,x)","-\frac{b^{2}}{2 x^{2}}-\frac{2 a b}{5 x^{5}}-\frac{a^{2}}{8 x^{8}}"," ",0,"-1/8*a^2/x^8-2/5*a*b/x^5-1/2*b^2/x^2","A"
232,1,25,17,0.005000," ","int((b*x^3+a)^2/x^10,x)","-\frac{b^{2}}{3 x^{3}}-\frac{a b}{3 x^{6}}-\frac{a^{2}}{9 x^{9}}"," ",0,"-1/3*b^2/x^3-1/3*a*b/x^6-1/9*a^2/x^9","A"
233,1,25,24,0.005000," ","int((b*x^3+a)^2/x^11,x)","-\frac{b^{2}}{4 x^{4}}-\frac{2 a b}{7 x^{7}}-\frac{a^{2}}{10 x^{10}}"," ",0,"-1/10*a^2/x^10-2/7*a*b/x^7-1/4*b^2/x^4","A"
234,1,25,24,0.005000," ","int((b*x^3+a)^2/x^12,x)","-\frac{b^{2}}{5 x^{5}}-\frac{a b}{4 x^{8}}-\frac{a^{2}}{11 x^{11}}"," ",0,"-1/11*a^2/x^11-1/4*a*b/x^8-1/5*b^2/x^5","A"
235,1,25,24,0.004000," ","int((b*x^3+a)^2/x^13,x)","-\frac{b^{2}}{6 x^{6}}-\frac{2 a b}{9 x^{9}}-\frac{a^{2}}{12 x^{12}}"," ",0,"-1/12*a^2/x^12-2/9*a*b/x^9-1/6*b^2/x^6","A"
236,1,36,35,0.000000," ","int(x^14*(b*x^3+a)^3,x)","\frac{1}{24} b^{3} x^{24}+\frac{1}{7} a \,b^{2} x^{21}+\frac{1}{6} a^{2} b \,x^{18}+\frac{1}{15} a^{3} x^{15}"," ",0,"1/15*a^3*x^15+1/6*a^2*b*x^18+1/7*a*b^2*x^21+1/24*b^3*x^24","A"
237,1,36,35,0.000000," ","int(x^11*(b*x^3+a)^3,x)","\frac{1}{21} b^{3} x^{21}+\frac{1}{6} a \,b^{2} x^{18}+\frac{1}{5} a^{2} b \,x^{15}+\frac{1}{12} a^{3} x^{12}"," ",0,"1/12*a^3*x^12+1/5*a^2*b*x^15+1/6*a*b^2*x^18+1/21*b^3*x^21","A"
238,1,36,35,0.001000," ","int(x^8*(b*x^3+a)^3,x)","\frac{1}{18} b^{3} x^{18}+\frac{1}{5} a \,b^{2} x^{15}+\frac{1}{4} a^{2} b \,x^{12}+\frac{1}{9} a^{3} x^{9}"," ",0,"1/9*a^3*x^9+1/4*a^2*b*x^12+1/5*a*b^2*x^15+1/18*b^3*x^18","A"
239,1,36,30,0.001000," ","int(x^5*(b*x^3+a)^3,x)","\frac{1}{15} b^{3} x^{15}+\frac{1}{4} a \,b^{2} x^{12}+\frac{1}{3} a^{2} b \,x^{9}+\frac{1}{6} a^{3} x^{6}"," ",0,"1/15*b^3*x^15+1/4*a*b^2*x^12+1/3*a^2*b*x^9+1/6*a^3*x^6","A"
240,1,36,14,0.000000," ","int(x^2*(b*x^3+a)^3,x)","\frac{1}{12} b^{3} x^{12}+\frac{1}{3} a \,b^{2} x^{9}+\frac{1}{2} a^{2} b \,x^{6}+\frac{1}{3} a^{3} x^{3}"," ",0,"1/12*b^3*x^12+1/3*a*b^2*x^9+1/2*a^2*b*x^6+1/3*a^3*x^3","B"
241,1,33,32,0.001000," ","int((b*x^3+a)^3/x,x)","\frac{b^{3} x^{9}}{9}+\frac{a \,b^{2} x^{6}}{2}+a^{2} b \,x^{3}+a^{3} \ln \left(x \right)"," ",0,"a^2*b*x^3+1/2*a*b^2*x^6+1/9*b^3*x^9+a^3*ln(x)","A"
242,1,34,33,0.006000," ","int((b*x^3+a)^3/x^4,x)","\frac{b^{3} x^{6}}{6}+a \,b^{2} x^{3}+3 a^{2} b \ln \left(x \right)-\frac{a^{3}}{3 x^{3}}"," ",0,"-1/3*a^3/x^3+a*b^2*x^3+1/6*b^3*x^6+3*a^2*b*ln(x)","A"
243,1,35,34,0.006000," ","int((b*x^3+a)^3/x^7,x)","\frac{b^{3} x^{3}}{3}+3 a \,b^{2} \ln \left(x \right)-\frac{a^{2} b}{x^{3}}-\frac{a^{3}}{6 x^{6}}"," ",0,"-1/6*a^3/x^6-a^2*b/x^3+1/3*b^3*x^3+3*a*b^2*ln(x)","A"
244,1,34,33,0.007000," ","int((b*x^3+a)^3/x^10,x)","b^{3} \ln \left(x \right)-\frac{a \,b^{2}}{x^{3}}-\frac{a^{2} b}{2 x^{6}}-\frac{a^{3}}{9 x^{9}}"," ",0,"-1/9*a^3/x^9-1/2*a^2*b/x^6-a*b^2/x^3+b^3*ln(x)","A"
245,1,36,17,0.004000," ","int((b*x^3+a)^3/x^13,x)","-\frac{b^{3}}{3 x^{3}}-\frac{a \,b^{2}}{2 x^{6}}-\frac{a^{2} b}{3 x^{9}}-\frac{a^{3}}{12 x^{12}}"," ",0,"-1/3*b^3/x^3-1/12*a^3/x^12-1/2*a*b^2/x^6-1/3*a^2*b/x^9","B"
246,1,36,36,0.006000," ","int((b*x^3+a)^3/x^16,x)","-\frac{b^{3}}{6 x^{6}}-\frac{a \,b^{2}}{3 x^{9}}-\frac{a^{2} b}{4 x^{12}}-\frac{a^{3}}{15 x^{15}}"," ",0,"-1/15*a^3/x^15-1/6*b^3/x^6-1/4*a^2*b/x^12-1/3*a*b^2/x^9","A"
247,1,36,35,0.005000," ","int((b*x^3+a)^3/x^19,x)","-\frac{b^{3}}{9 x^{9}}-\frac{a \,b^{2}}{4 x^{12}}-\frac{a^{2} b}{5 x^{15}}-\frac{a^{3}}{18 x^{18}}"," ",0,"-1/18*a^3/x^18-1/5*a^2*b/x^15-1/4*a*b^2/x^12-1/9*b^3/x^9","A"
248,1,36,35,0.007000," ","int((b*x^3+a)^3/x^22,x)","-\frac{b^{3}}{12 x^{12}}-\frac{a \,b^{2}}{5 x^{15}}-\frac{a^{2} b}{6 x^{18}}-\frac{a^{3}}{21 x^{21}}"," ",0,"-1/21*a^3/x^21-1/6*a^2*b/x^18-1/5*a*b^2/x^15-1/12*b^3/x^12","A"
249,1,36,35,0.000000," ","int(x^4*(b*x^3+a)^3,x)","\frac{1}{14} b^{3} x^{14}+\frac{3}{11} a \,b^{2} x^{11}+\frac{3}{8} a^{2} b \,x^{8}+\frac{1}{5} a^{3} x^{5}"," ",0,"1/5*a^3*x^5+3/8*a^2*b*x^8+3/11*a*b^2*x^11+1/14*b^3*x^14","A"
250,1,36,35,0.002000," ","int(x^3*(b*x^3+a)^3,x)","\frac{1}{13} b^{3} x^{13}+\frac{3}{10} a \,b^{2} x^{10}+\frac{3}{7} a^{2} b \,x^{7}+\frac{1}{4} a^{3} x^{4}"," ",0,"1/4*a^3*x^4+3/7*a^2*b*x^7+3/10*a*b^2*x^10+1/13*b^3*x^13","A"
251,1,36,35,0.000000," ","int(x*(b*x^3+a)^3,x)","\frac{1}{11} b^{3} x^{11}+\frac{3}{8} a \,b^{2} x^{8}+\frac{3}{5} a^{2} b \,x^{5}+\frac{1}{2} a^{3} x^{2}"," ",0,"1/2*x^2*a^3+3/5*a^2*b*x^5+3/8*a*b^2*x^8+1/11*b^3*x^11","A"
252,1,33,32,0.001000," ","int((b*x^3+a)^3,x)","\frac{1}{10} b^{3} x^{10}+\frac{3}{7} a \,b^{2} x^{7}+\frac{3}{4} a^{2} b \,x^{4}+a^{3} x"," ",0,"a^3*x+3/4*a^2*b*x^4+3/7*a*b^2*x^7+1/10*b^3*x^10","A"
253,1,36,35,0.004000," ","int((b*x^3+a)^3/x^2,x)","\frac{b^{3} x^{8}}{8}+\frac{3 a \,b^{2} x^{5}}{5}+\frac{3 a^{2} b \,x^{2}}{2}-\frac{a^{3}}{x}"," ",0,"-a^3/x+3/2*a^2*b*x^2+3/5*a*b^2*x^5+1/8*b^3*x^8","A"
254,1,34,33,0.003000," ","int((b*x^3+a)^3/x^3,x)","\frac{b^{3} x^{7}}{7}+\frac{3 a \,b^{2} x^{4}}{4}+3 a^{2} b x -\frac{a^{3}}{2 x^{2}}"," ",0,"-1/2*a^3/x^2+3*a^2*b*x+3/4*a*b^2*x^4+1/7*b^3*x^7","A"
255,1,36,35,0.005000," ","int((b*x^3+a)^3/x^5,x)","\frac{b^{3} x^{5}}{5}+\frac{3 a \,b^{2} x^{2}}{2}-\frac{3 a^{2} b}{x}-\frac{a^{3}}{4 x^{4}}"," ",0,"-1/4*a^3/x^4-3*a^2*b/x+3/2*a*b^2*x^2+1/5*b^3*x^5","A"
256,1,34,33,0.005000," ","int((b*x^3+a)^3/x^6,x)","\frac{b^{3} x^{4}}{4}+3 a \,b^{2} x -\frac{3 a^{2} b}{2 x^{2}}-\frac{a^{3}}{5 x^{5}}"," ",0,"-1/5*a^3/x^5-3/2*a^2*b/x^2+3*a*b^2*x+1/4*b^3*x^4","A"
257,1,36,35,0.006000," ","int((b*x^3+a)^3/x^8,x)","\frac{b^{3} x^{2}}{2}-\frac{3 a \,b^{2}}{x}-\frac{3 a^{2} b}{4 x^{4}}-\frac{a^{3}}{7 x^{7}}"," ",0,"-1/7*a^3/x^7-3/4*a^2*b/x^4-3*a*b^2/x+1/2*b^3*x^2","A"
258,1,58,57,0.002000," ","int(x^17*(b*x^3+a)^5,x)","\frac{1}{33} b^{5} x^{33}+\frac{1}{6} a \,b^{4} x^{30}+\frac{10}{27} a^{2} b^{3} x^{27}+\frac{5}{12} a^{3} b^{2} x^{24}+\frac{5}{21} a^{4} b \,x^{21}+\frac{1}{18} a^{5} x^{18}"," ",0,"1/18*a^5*x^18+5/21*a^4*b*x^21+5/12*a^3*b^2*x^24+10/27*a^2*b^3*x^27+1/6*a*b^4*x^30+1/33*b^5*x^33","A"
259,1,58,57,0.001000," ","int(x^14*(b*x^3+a)^5,x)","\frac{1}{30} b^{5} x^{30}+\frac{5}{27} a \,b^{4} x^{27}+\frac{5}{12} a^{2} b^{3} x^{24}+\frac{10}{21} a^{3} b^{2} x^{21}+\frac{5}{18} a^{4} b \,x^{18}+\frac{1}{15} a^{5} x^{15}"," ",0,"1/15*a^5*x^15+5/18*a^4*b*x^18+10/21*a^3*b^2*x^21+5/12*a^2*b^3*x^24+5/27*a*b^4*x^27+1/30*b^5*x^30","A"
260,1,58,64,0.001000," ","int(x^11*(b*x^3+a)^5,x)","\frac{1}{27} b^{5} x^{27}+\frac{5}{24} a \,b^{4} x^{24}+\frac{10}{21} a^{2} b^{3} x^{21}+\frac{5}{9} a^{3} b^{2} x^{18}+\frac{1}{3} a^{4} b \,x^{15}+\frac{1}{12} a^{5} x^{12}"," ",0,"1/27*b^5*x^27+5/24*a*b^4*x^24+10/21*a^2*b^3*x^21+5/9*a^3*b^2*x^18+1/3*a^4*b*x^15+1/12*a^5*x^12","A"
261,1,58,47,0.000000," ","int(x^8*(b*x^3+a)^5,x)","\frac{1}{24} b^{5} x^{24}+\frac{5}{21} a \,b^{4} x^{21}+\frac{5}{9} a^{2} b^{3} x^{18}+\frac{2}{3} a^{3} b^{2} x^{15}+\frac{5}{12} a^{4} b \,x^{12}+\frac{1}{9} a^{5} x^{9}"," ",0,"1/24*b^5*x^24+5/21*a*b^4*x^21+5/9*a^2*b^3*x^18+2/3*a^3*b^2*x^15+5/12*a^4*b*x^12+1/9*a^5*x^9","A"
262,1,58,30,0.001000," ","int(x^5*(b*x^3+a)^5,x)","\frac{1}{21} b^{5} x^{21}+\frac{5}{18} a \,b^{4} x^{18}+\frac{2}{3} a^{2} b^{3} x^{15}+\frac{5}{6} a^{3} b^{2} x^{12}+\frac{5}{9} a^{4} b \,x^{9}+\frac{1}{6} a^{5} x^{6}"," ",0,"1/21*b^5*x^21+5/18*a*b^4*x^18+2/3*a^2*b^3*x^15+5/6*a^3*b^2*x^12+5/9*a^4*b*x^9+1/6*a^5*x^6","A"
263,1,58,14,0.001000," ","int(x^2*(b*x^3+a)^5,x)","\frac{1}{18} b^{5} x^{18}+\frac{1}{3} a \,b^{4} x^{15}+\frac{5}{6} a^{2} b^{3} x^{12}+\frac{10}{9} a^{3} b^{2} x^{9}+\frac{5}{6} a^{4} b \,x^{6}+\frac{1}{3} a^{5} x^{3}"," ",0,"1/18*b^5*x^18+1/3*a*b^4*x^15+5/6*a^2*b^3*x^12+10/9*a^3*b^2*x^9+5/6*a^4*b*x^6+1/3*a^5*x^3","B"
264,1,56,55,0.003000," ","int((b*x^3+a)^5/x,x)","\frac{b^{5} x^{15}}{15}+\frac{5 a \,b^{4} x^{12}}{12}+\frac{10 a^{2} b^{3} x^{9}}{9}+\frac{5 a^{3} b^{2} x^{6}}{3}+\frac{5 a^{4} b \,x^{3}}{3}+a^{5} \ln \left(x \right)"," ",0,"5/3*a^4*b*x^3+5/3*a^3*b^2*x^6+10/9*a^2*b^3*x^9+5/12*a*b^4*x^12+1/15*b^5*x^15+a^5*ln(x)","A"
265,1,57,56,0.007000," ","int((b*x^3+a)^5/x^4,x)","\frac{b^{5} x^{12}}{12}+\frac{5 a \,b^{4} x^{9}}{9}+\frac{5 a^{2} b^{3} x^{6}}{3}+\frac{10 a^{3} b^{2} x^{3}}{3}+5 a^{4} b \ln \left(x \right)-\frac{a^{5}}{3 x^{3}}"," ",0,"-1/3*a^5/x^3+10/3*a^3*b^2*x^3+5/3*a^2*b^3*x^6+5/9*a*b^4*x^9+1/12*b^5*x^12+5*a^4*b*ln(x)","A"
266,1,57,56,0.007000," ","int((b*x^3+a)^5/x^7,x)","\frac{b^{5} x^{9}}{9}+\frac{5 a \,b^{4} x^{6}}{6}+\frac{10 a^{2} b^{3} x^{3}}{3}+10 a^{3} b^{2} \ln \left(x \right)-\frac{5 a^{4} b}{3 x^{3}}-\frac{a^{5}}{6 x^{6}}"," ",0,"-1/6*a^5/x^6-5/3*a^4*b/x^3+10/3*a^2*b^3*x^3+5/6*a*b^4*x^6+1/9*b^5*x^9+10*a^3*b^2*ln(x)","A"
267,1,57,56,0.007000," ","int((b*x^3+a)^5/x^10,x)","\frac{b^{5} x^{6}}{6}+\frac{5 a \,b^{4} x^{3}}{3}+10 a^{2} b^{3} \ln \left(x \right)-\frac{10 a^{3} b^{2}}{3 x^{3}}-\frac{5 a^{4} b}{6 x^{6}}-\frac{a^{5}}{9 x^{9}}"," ",0,"-1/9*a^5/x^9-5/6*a^4*b/x^6-10/3*a^3*b^2/x^3+5/3*a*b^4*x^3+1/6*b^5*x^6+10*a^2*b^3*ln(x)","A"
268,1,57,56,0.008000," ","int((b*x^3+a)^5/x^13,x)","\frac{b^{5} x^{3}}{3}+5 a \,b^{4} \ln \left(x \right)-\frac{10 a^{2} b^{3}}{3 x^{3}}-\frac{5 a^{3} b^{2}}{3 x^{6}}-\frac{5 a^{4} b}{9 x^{9}}-\frac{a^{5}}{12 x^{12}}"," ",0,"-1/12*a^5/x^12-5/9*a^4*b/x^9-5/3*a^3*b^2/x^6-10/3*a^2*b^3/x^3+1/3*b^5*x^3+5*a*b^4*ln(x)","A"
269,1,56,55,0.006000," ","int((b*x^3+a)^5/x^16,x)","b^{5} \ln \left(x \right)-\frac{5 a \,b^{4}}{3 x^{3}}-\frac{5 a^{2} b^{3}}{3 x^{6}}-\frac{10 a^{3} b^{2}}{9 x^{9}}-\frac{5 a^{4} b}{12 x^{12}}-\frac{a^{5}}{15 x^{15}}"," ",0,"-1/15*a^5/x^15-5/12*a^4*b/x^12-10/9*a^3*b^2/x^9-5/3*a^2*b^3/x^6-5/3*a*b^4/x^3+b^5*ln(x)","A"
270,1,58,17,0.006000," ","int((b*x^3+a)^5/x^19,x)","-\frac{b^{5}}{3 x^{3}}-\frac{5 a \,b^{4}}{6 x^{6}}-\frac{10 a^{2} b^{3}}{9 x^{9}}-\frac{5 a^{3} b^{2}}{6 x^{12}}-\frac{a^{4} b}{3 x^{15}}-\frac{a^{5}}{18 x^{18}}"," ",0,"-1/3*b^5/x^3-1/18*a^5/x^18-5/6*a^3*b^2/x^12-5/6*a*b^4/x^6-10/9*a^2*b^3/x^9-1/3*a^4*b/x^15","B"
271,1,58,36,0.004000," ","int((b*x^3+a)^5/x^22,x)","-\frac{b^{5}}{6 x^{6}}-\frac{5 a \,b^{4}}{9 x^{9}}-\frac{5 a^{2} b^{3}}{6 x^{12}}-\frac{2 a^{3} b^{2}}{3 x^{15}}-\frac{5 a^{4} b}{18 x^{18}}-\frac{a^{5}}{21 x^{21}}"," ",0,"-2/3*a^3*b^2/x^15-5/6*a^2*b^3/x^12-5/18*a^4*b/x^18-1/6*b^5/x^6-1/21*a^5/x^21-5/9*a*b^4/x^9","A"
272,1,58,56,0.004000," ","int((b*x^3+a)^5/x^25,x)","-\frac{b^{5}}{9 x^{9}}-\frac{5 a \,b^{4}}{12 x^{12}}-\frac{2 a^{2} b^{3}}{3 x^{15}}-\frac{5 a^{3} b^{2}}{9 x^{18}}-\frac{5 a^{4} b}{21 x^{21}}-\frac{a^{5}}{24 x^{24}}"," ",0,"-2/3*a^2*b^3/x^15-5/21*a^4*b/x^21-1/24*a^5/x^24-5/12*a*b^4/x^12-5/9*a^3*b^2/x^18-1/9*b^5/x^9","A"
273,1,58,57,0.005000," ","int((b*x^3+a)^5/x^28,x)","-\frac{b^{5}}{12 x^{12}}-\frac{a \,b^{4}}{3 x^{15}}-\frac{5 a^{2} b^{3}}{9 x^{18}}-\frac{10 a^{3} b^{2}}{21 x^{21}}-\frac{5 a^{4} b}{24 x^{24}}-\frac{a^{5}}{27 x^{27}}"," ",0,"-1/27*a^5/x^27-5/24*a^4*b/x^24-10/21*a^3*b^2/x^21-5/9*a^2*b^3/x^18-1/3*a*b^4/x^15-1/12*b^5/x^12","A"
274,1,58,57,0.005000," ","int((b*x^3+a)^5/x^31,x)","-\frac{b^{5}}{15 x^{15}}-\frac{5 a \,b^{4}}{18 x^{18}}-\frac{10 a^{2} b^{3}}{21 x^{21}}-\frac{5 a^{3} b^{2}}{12 x^{24}}-\frac{5 a^{4} b}{27 x^{27}}-\frac{a^{5}}{30 x^{30}}"," ",0,"-1/30*a^5/x^30-5/27*a^4*b/x^27-5/12*a^3*b^2/x^24-10/21*a^2*b^3/x^21-5/18*a*b^4/x^18-1/15*b^5/x^15","A"
275,1,58,57,0.001000," ","int(x^4*(b*x^3+a)^5,x)","\frac{1}{20} b^{5} x^{20}+\frac{5}{17} a \,b^{4} x^{17}+\frac{5}{7} a^{2} b^{3} x^{14}+\frac{10}{11} a^{3} b^{2} x^{11}+\frac{5}{8} a^{4} b \,x^{8}+\frac{1}{5} a^{5} x^{5}"," ",0,"1/5*a^5*x^5+5/8*a^4*b*x^8+10/11*a^3*b^2*x^11+5/7*a^2*b^3*x^14+5/17*a*b^4*x^17+1/20*b^5*x^20","A"
276,1,57,56,0.001000," ","int(x^3*(b*x^3+a)^5,x)","\frac{1}{19} b^{5} x^{19}+\frac{5}{16} a \,b^{4} x^{16}+\frac{10}{13} a^{2} b^{3} x^{13}+a^{3} b^{2} x^{10}+\frac{5}{7} a^{4} b \,x^{7}+\frac{1}{4} a^{5} x^{4}"," ",0,"1/4*a^5*x^4+5/7*a^4*b*x^7+a^3*b^2*x^10+10/13*a^2*b^3*x^13+5/16*a*b^4*x^16+1/19*b^5*x^19","A"
277,1,57,56,0.000000," ","int(x*(b*x^3+a)^5,x)","\frac{1}{17} b^{5} x^{17}+\frac{5}{14} a \,b^{4} x^{14}+\frac{10}{11} a^{2} b^{3} x^{11}+\frac{5}{4} a^{3} b^{2} x^{8}+a^{4} b \,x^{5}+\frac{1}{2} a^{5} x^{2}"," ",0,"1/2*a^5*x^2+a^4*b*x^5+5/4*a^3*b^2*x^8+10/11*a^2*b^3*x^11+5/14*a*b^4*x^14+1/17*b^5*x^17","A"
278,1,54,53,0.000000," ","int((b*x^3+a)^5,x)","\frac{1}{16} b^{5} x^{16}+\frac{5}{13} a \,b^{4} x^{13}+a^{2} b^{3} x^{10}+\frac{10}{7} a^{3} b^{2} x^{7}+\frac{5}{4} a^{4} b \,x^{4}+a^{5} x"," ",0,"a^5*x+5/4*a^4*b*x^4+10/7*a^3*b^2*x^7+a^2*b^3*x^10+5/13*a*b^4*x^13+1/16*b^5*x^16","A"
279,1,58,57,0.003000," ","int((b*x^3+a)^5/x^2,x)","\frac{b^{5} x^{14}}{14}+\frac{5 a \,b^{4} x^{11}}{11}+\frac{5 a^{2} b^{3} x^{8}}{4}+2 a^{3} b^{2} x^{5}+\frac{5 a^{4} b \,x^{2}}{2}-\frac{a^{5}}{x}"," ",0,"-a^5/x+5/2*a^4*b*x^2+2*a^3*b^2*x^5+5/4*a^2*b^3*x^8+5/11*a*b^4*x^11+1/14*b^5*x^14","A"
280,1,56,55,0.004000," ","int((b*x^3+a)^5/x^3,x)","\frac{b^{5} x^{13}}{13}+\frac{a \,b^{4} x^{10}}{2}+\frac{10 a^{2} b^{3} x^{7}}{7}+\frac{5 a^{3} b^{2} x^{4}}{2}+5 a^{4} b x -\frac{a^{5}}{2 x^{2}}"," ",0,"-1/2*a^5/x^2+5*a^4*b*x+5/2*a^3*b^2*x^4+10/7*a^2*b^3*x^7+1/2*a*b^4*x^10+1/13*b^5*x^13","A"
281,1,58,57,0.005000," ","int((b*x^3+a)^5/x^5,x)","\frac{b^{5} x^{11}}{11}+\frac{5 a \,b^{4} x^{8}}{8}+2 a^{2} b^{3} x^{5}+5 a^{3} b^{2} x^{2}-\frac{5 a^{4} b}{x}-\frac{a^{5}}{4 x^{4}}"," ",0,"-1/4*a^5/x^4-5*a^4*b/x+5*a^3*b^2*x^2+2*a^2*b^3*x^5+5/8*a*b^4*x^8+1/11*b^5*x^11","A"
282,1,56,55,0.005000," ","int((b*x^3+a)^5/x^6,x)","\frac{b^{5} x^{10}}{10}+\frac{5 a \,b^{4} x^{7}}{7}+\frac{5 a^{2} b^{3} x^{4}}{2}+10 a^{3} b^{2} x -\frac{5 a^{4} b}{2 x^{2}}-\frac{a^{5}}{5 x^{5}}"," ",0,"-1/5*a^5/x^5-5/2*a^4*b/x^2+10*a^3*b^2*x+5/2*a^2*b^3*x^4+5/7*a*b^4*x^7+1/10*b^5*x^10","A"
283,1,57,56,0.006000," ","int((b*x^3+a)^5/x^8,x)","\frac{b^{5} x^{8}}{8}+a \,b^{4} x^{5}+5 a^{2} b^{3} x^{2}-\frac{10 a^{3} b^{2}}{x}-\frac{5 a^{4} b}{4 x^{4}}-\frac{a^{5}}{7 x^{7}}"," ",0,"-1/7*a^5/x^7-5/4*a^4*b/x^4-10*a^3*b^2/x+5*a^2*b^3*x^2+a*b^4*x^5+1/8*b^5*x^8","A"
284,1,56,55,0.005000," ","int((b*x^3+a)^5/x^9,x)","\frac{b^{5} x^{7}}{7}+\frac{5 a \,b^{4} x^{4}}{4}+10 a^{2} b^{3} x -\frac{5 a^{3} b^{2}}{x^{2}}-\frac{a^{4} b}{x^{5}}-\frac{a^{5}}{8 x^{8}}"," ",0,"-1/8*a^5/x^8-a^4*b/x^5-5*a^3*b^2/x^2+10*a^2*b^3*x+5/4*a*b^4*x^4+1/7*b^5*x^7","A"
285,1,91,115,0.000000," ","int(x^20*(b*x^3+a)^8,x)","\frac{1}{45} b^{8} x^{45}+\frac{4}{21} a \,b^{7} x^{42}+\frac{28}{39} a^{2} b^{6} x^{39}+\frac{14}{9} a^{3} b^{5} x^{36}+\frac{70}{33} a^{4} b^{4} x^{33}+\frac{28}{15} a^{5} b^{3} x^{30}+\frac{28}{27} a^{6} b^{2} x^{27}+\frac{1}{3} a^{7} b \,x^{24}+\frac{1}{21} a^{8} x^{21}"," ",0,"1/45*b^8*x^45+4/21*a*b^7*x^42+28/39*a^2*b^6*x^39+14/9*a^3*b^5*x^36+70/33*a^4*b^4*x^33+28/15*a^5*b^3*x^30+28/27*a^6*b^2*x^27+1/3*a^7*b*x^24+1/21*a^8*x^21","A"
286,1,91,98,0.001000," ","int(x^17*(b*x^3+a)^8,x)","\frac{1}{42} b^{8} x^{42}+\frac{8}{39} a \,b^{7} x^{39}+\frac{7}{9} a^{2} b^{6} x^{36}+\frac{56}{33} a^{3} b^{5} x^{33}+\frac{7}{3} a^{4} b^{4} x^{30}+\frac{56}{27} a^{5} b^{3} x^{27}+\frac{7}{6} a^{6} b^{2} x^{24}+\frac{8}{21} a^{7} b \,x^{21}+\frac{1}{18} a^{8} x^{18}"," ",0,"1/42*b^8*x^42+8/39*a*b^7*x^39+7/9*a^2*b^6*x^36+56/33*a^3*b^5*x^33+7/3*a^4*b^4*x^30+56/27*a^5*b^3*x^27+7/6*a^6*b^2*x^24+8/21*a^7*b*x^21+1/18*a^8*x^18","A"
287,1,91,81,0.001000," ","int(x^14*(b*x^3+a)^8,x)","\frac{1}{39} b^{8} x^{39}+\frac{2}{9} a \,b^{7} x^{36}+\frac{28}{33} a^{2} b^{6} x^{33}+\frac{28}{15} a^{3} b^{5} x^{30}+\frac{70}{27} a^{4} b^{4} x^{27}+\frac{7}{3} a^{5} b^{3} x^{24}+\frac{4}{3} a^{6} b^{2} x^{21}+\frac{4}{9} a^{7} b \,x^{18}+\frac{1}{15} a^{8} x^{15}"," ",0,"1/39*b^8*x^39+2/9*a*b^7*x^36+28/33*a^2*b^6*x^33+28/15*a^3*b^5*x^30+70/27*a^4*b^4*x^27+7/3*a^5*b^3*x^24+4/3*a^6*b^2*x^21+4/9*a^7*b*x^18+1/15*a^8*x^15","A"
288,1,91,64,0.003000," ","int(x^11*(b*x^3+a)^8,x)","\frac{1}{36} b^{8} x^{36}+\frac{8}{33} a \,b^{7} x^{33}+\frac{14}{15} a^{2} b^{6} x^{30}+\frac{56}{27} a^{3} b^{5} x^{27}+\frac{35}{12} a^{4} b^{4} x^{24}+\frac{8}{3} a^{5} b^{3} x^{21}+\frac{14}{9} a^{6} b^{2} x^{18}+\frac{8}{15} a^{7} b \,x^{15}+\frac{1}{12} a^{8} x^{12}"," ",0,"1/36*b^8*x^36+8/33*a*b^7*x^33+14/15*a^2*b^6*x^30+56/27*a^3*b^5*x^27+35/12*a^4*b^4*x^24+8/3*a^5*b^3*x^21+14/9*a^6*b^2*x^18+8/15*a^7*b*x^15+1/12*a^8*x^12","A"
289,1,91,47,0.001000," ","int(x^8*(b*x^3+a)^8,x)","\frac{1}{33} b^{8} x^{33}+\frac{4}{15} a \,b^{7} x^{30}+\frac{28}{27} a^{2} b^{6} x^{27}+\frac{7}{3} a^{3} b^{5} x^{24}+\frac{10}{3} a^{4} b^{4} x^{21}+\frac{28}{9} a^{5} b^{3} x^{18}+\frac{28}{15} a^{6} b^{2} x^{15}+\frac{2}{3} a^{7} b \,x^{12}+\frac{1}{9} a^{8} x^{9}"," ",0,"1/33*b^8*x^33+4/15*a*b^7*x^30+28/27*a^2*b^6*x^27+7/3*a^3*b^5*x^24+10/3*a^4*b^4*x^21+28/9*a^5*b^3*x^18+28/15*a^6*b^2*x^15+2/3*a^7*b*x^12+1/9*a^8*x^9","A"
290,1,91,30,0.000000," ","int(x^5*(b*x^3+a)^8,x)","\frac{1}{30} b^{8} x^{30}+\frac{8}{27} a \,b^{7} x^{27}+\frac{7}{6} a^{2} b^{6} x^{24}+\frac{8}{3} a^{3} b^{5} x^{21}+\frac{35}{9} a^{4} b^{4} x^{18}+\frac{56}{15} a^{5} b^{3} x^{15}+\frac{7}{3} a^{6} b^{2} x^{12}+\frac{8}{9} a^{7} b \,x^{9}+\frac{1}{6} a^{8} x^{6}"," ",0,"1/30*b^8*x^30+8/27*a*b^7*x^27+7/6*a^2*b^6*x^24+8/3*a^3*b^5*x^21+35/9*a^4*b^4*x^18+56/15*a^5*b^3*x^15+7/3*a^6*b^2*x^12+8/9*a^7*b*x^9+1/6*a^8*x^6","B"
291,1,91,14,0.000000," ","int(x^2*(b*x^3+a)^8,x)","\frac{1}{27} b^{8} x^{27}+\frac{1}{3} a \,b^{7} x^{24}+\frac{4}{3} a^{2} b^{6} x^{21}+\frac{28}{9} a^{3} b^{5} x^{18}+\frac{14}{3} a^{4} b^{4} x^{15}+\frac{14}{3} a^{5} b^{3} x^{12}+\frac{28}{9} a^{6} b^{2} x^{9}+\frac{4}{3} a^{7} b \,x^{6}+\frac{1}{3} a^{8} x^{3}"," ",0,"1/27*b^8*x^27+1/3*a*b^7*x^24+4/3*a^2*b^6*x^21+28/9*a^3*b^5*x^18+14/3*a^4*b^4*x^15+14/3*a^5*b^3*x^12+28/9*a^6*b^2*x^9+4/3*a^7*b*x^6+1/3*a^8*x^3","B"
292,1,89,88,0.003000," ","int((b*x^3+a)^8/x,x)","\frac{b^{8} x^{24}}{24}+\frac{8 a \,b^{7} x^{21}}{21}+\frac{14 a^{2} b^{6} x^{18}}{9}+\frac{56 a^{3} b^{5} x^{15}}{15}+\frac{35 a^{4} b^{4} x^{12}}{6}+\frac{56 a^{5} b^{3} x^{9}}{9}+\frac{14 a^{6} b^{2} x^{6}}{3}+\frac{8 a^{7} b \,x^{3}}{3}+a^{8} \ln \left(x \right)"," ",0,"8/3*a^7*b*x^3+14/3*a^6*b^2*x^6+56/9*a^5*b^3*x^9+35/6*a^4*b^4*x^12+56/15*a^3*b^5*x^15+14/9*a^2*b^6*x^18+8/21*a*b^7*x^21+1/24*b^8*x^24+a^8*ln(x)","A"
293,1,90,89,0.007000," ","int((b*x^3+a)^8/x^4,x)","\frac{b^{8} x^{21}}{21}+\frac{4 a \,b^{7} x^{18}}{9}+\frac{28 a^{2} b^{6} x^{15}}{15}+\frac{14 a^{3} b^{5} x^{12}}{3}+\frac{70 a^{4} b^{4} x^{9}}{9}+\frac{28 a^{5} b^{3} x^{6}}{3}+\frac{28 a^{6} b^{2} x^{3}}{3}+8 a^{7} b \ln \left(x \right)-\frac{a^{8}}{3 x^{3}}"," ",0,"-1/3*a^8/x^3+28/3*a^6*b^2*x^3+28/3*a^5*b^3*x^6+70/9*a^4*b^4*x^9+14/3*a^3*b^5*x^12+28/15*a^2*b^6*x^15+4/9*a*b^7*x^18+1/21*b^8*x^21+8*a^7*b*ln(x)","A"
294,1,90,89,0.008000," ","int((b*x^3+a)^8/x^7,x)","\frac{b^{8} x^{18}}{18}+\frac{8 a \,b^{7} x^{15}}{15}+\frac{7 a^{2} b^{6} x^{12}}{3}+\frac{56 a^{3} b^{5} x^{9}}{9}+\frac{35 a^{4} b^{4} x^{6}}{3}+\frac{56 a^{5} b^{3} x^{3}}{3}+28 a^{6} b^{2} \ln \left(x \right)-\frac{8 a^{7} b}{3 x^{3}}-\frac{a^{8}}{6 x^{6}}"," ",0,"-1/6*a^8/x^6-8/3*a^7*b/x^3+56/3*a^5*b^3*x^3+35/3*a^4*b^4*x^6+56/9*a^3*b^5*x^9+7/3*a^2*b^6*x^12+8/15*a*b^7*x^15+1/18*b^8*x^18+28*a^6*b^2*ln(x)","A"
295,1,90,89,0.008000," ","int((b*x^3+a)^8/x^10,x)","\frac{b^{8} x^{15}}{15}+\frac{2 a \,b^{7} x^{12}}{3}+\frac{28 a^{2} b^{6} x^{9}}{9}+\frac{28 a^{3} b^{5} x^{6}}{3}+\frac{70 a^{4} b^{4} x^{3}}{3}+56 a^{5} b^{3} \ln \left(x \right)-\frac{28 a^{6} b^{2}}{3 x^{3}}-\frac{4 a^{7} b}{3 x^{6}}-\frac{a^{8}}{9 x^{9}}"," ",0,"-1/9*a^8/x^9-4/3*a^7*b/x^6-28/3*a^6*b^2/x^3+70/3*a^4*b^4*x^3+28/3*a^3*b^5*x^6+28/9*a^2*b^6*x^9+2/3*a*b^7*x^12+1/15*b^8*x^15+56*a^5*b^3*ln(x)","A"
296,1,90,89,0.007000," ","int((b*x^3+a)^8/x^13,x)","\frac{b^{8} x^{12}}{12}+\frac{8 a \,b^{7} x^{9}}{9}+\frac{14 a^{2} b^{6} x^{6}}{3}+\frac{56 a^{3} b^{5} x^{3}}{3}+70 a^{4} b^{4} \ln \left(x \right)-\frac{56 a^{5} b^{3}}{3 x^{3}}-\frac{14 a^{6} b^{2}}{3 x^{6}}-\frac{8 a^{7} b}{9 x^{9}}-\frac{a^{8}}{12 x^{12}}"," ",0,"-1/12*a^8/x^12-8/9*a^7*b/x^9-14/3*a^6*b^2/x^6-56/3*a^5*b^3/x^3+56/3*a^3*b^5*x^3+14/3*a^2*b^6*x^6+8/9*a*b^7*x^9+1/12*b^8*x^12+70*a^4*b^4*ln(x)","A"
297,1,90,89,0.010000," ","int((b*x^3+a)^8/x^16,x)","\frac{b^{8} x^{9}}{9}+\frac{4 a \,b^{7} x^{6}}{3}+\frac{28 a^{2} b^{6} x^{3}}{3}+56 a^{3} b^{5} \ln \left(x \right)-\frac{70 a^{4} b^{4}}{3 x^{3}}-\frac{28 a^{5} b^{3}}{3 x^{6}}-\frac{28 a^{6} b^{2}}{9 x^{9}}-\frac{2 a^{7} b}{3 x^{12}}-\frac{a^{8}}{15 x^{15}}"," ",0,"-1/15*a^8/x^15-2/3*a^7*b/x^12-28/9*a^6*b^2/x^9-28/3*a^5*b^3/x^6-70/3*a^4*b^4/x^3+28/3*a^2*b^6*x^3+4/3*a*b^7*x^6+1/9*b^8*x^9+56*a^3*b^5*ln(x)","A"
298,1,90,89,0.009000," ","int((b*x^3+a)^8/x^19,x)","\frac{b^{8} x^{6}}{6}+\frac{8 a \,b^{7} x^{3}}{3}+28 a^{2} b^{6} \ln \left(x \right)-\frac{56 a^{3} b^{5}}{3 x^{3}}-\frac{35 a^{4} b^{4}}{3 x^{6}}-\frac{56 a^{5} b^{3}}{9 x^{9}}-\frac{7 a^{6} b^{2}}{3 x^{12}}-\frac{8 a^{7} b}{15 x^{15}}-\frac{a^{8}}{18 x^{18}}"," ",0,"-1/18*a^8/x^18-8/15*a^7*b/x^15-7/3*a^6*b^2/x^12-56/9*a^5*b^3/x^9-35/3*a^4*b^4/x^6-56/3*a^3*b^5/x^3+8/3*a*b^7*x^3+1/6*b^8*x^6+28*a^2*b^6*ln(x)","A"
299,1,90,89,0.010000," ","int((b*x^3+a)^8/x^22,x)","\frac{b^{8} x^{3}}{3}+8 a \,b^{7} \ln \left(x \right)-\frac{28 a^{2} b^{6}}{3 x^{3}}-\frac{28 a^{3} b^{5}}{3 x^{6}}-\frac{70 a^{4} b^{4}}{9 x^{9}}-\frac{14 a^{5} b^{3}}{3 x^{12}}-\frac{28 a^{6} b^{2}}{15 x^{15}}-\frac{4 a^{7} b}{9 x^{18}}-\frac{a^{8}}{21 x^{21}}"," ",0,"-1/21*a^8/x^21-4/9*a^7*b/x^18-28/15*a^6*b^2/x^15-14/3*a^5*b^3/x^12-70/9*a^4*b^4/x^9-28/3*a^3*b^5/x^6-28/3*a^2*b^6/x^3+1/3*b^8*x^3+8*a*b^7*ln(x)","A"
300,1,89,88,0.009000," ","int((b*x^3+a)^8/x^25,x)","b^{8} \ln \left(x \right)-\frac{8 a \,b^{7}}{3 x^{3}}-\frac{14 a^{2} b^{6}}{3 x^{6}}-\frac{56 a^{3} b^{5}}{9 x^{9}}-\frac{35 a^{4} b^{4}}{6 x^{12}}-\frac{56 a^{5} b^{3}}{15 x^{15}}-\frac{14 a^{6} b^{2}}{9 x^{18}}-\frac{8 a^{7} b}{21 x^{21}}-\frac{a^{8}}{24 x^{24}}"," ",0,"-1/24*a^8/x^24-8/21*a^7*b/x^21-14/9*a^6*b^2/x^18-56/15*a^5*b^3/x^15-35/6*a^4*b^4/x^12-56/9*a^3*b^5/x^9-14/3*a^2*b^6/x^6-8/3*a*b^7/x^3+b^8*ln(x)","A"
301,1,91,17,0.006000," ","int((b*x^3+a)^8/x^28,x)","-\frac{b^{8}}{3 x^{3}}-\frac{4 a \,b^{7}}{3 x^{6}}-\frac{28 a^{2} b^{6}}{9 x^{9}}-\frac{14 a^{3} b^{5}}{3 x^{12}}-\frac{14 a^{4} b^{4}}{3 x^{15}}-\frac{28 a^{5} b^{3}}{9 x^{18}}-\frac{4 a^{6} b^{2}}{3 x^{21}}-\frac{a^{7} b}{3 x^{24}}-\frac{a^{8}}{27 x^{27}}"," ",0,"-1/3*a^7*b/x^24-1/3*b^8/x^3-28/9*a^5*b^3/x^18-4/3*a^6*b^2/x^21-1/27*a^8/x^27-4/3*a*b^7/x^6-14/3*a^4*b^4/x^15-28/9*a^2*b^6/x^9-14/3*a^3*b^5/x^12","B"
302,1,91,36,0.007000," ","int((b*x^3+a)^8/x^31,x)","-\frac{b^{8}}{6 x^{6}}-\frac{8 a \,b^{7}}{9 x^{9}}-\frac{7 a^{2} b^{6}}{3 x^{12}}-\frac{56 a^{3} b^{5}}{15 x^{15}}-\frac{35 a^{4} b^{4}}{9 x^{18}}-\frac{8 a^{5} b^{3}}{3 x^{21}}-\frac{7 a^{6} b^{2}}{6 x^{24}}-\frac{8 a^{7} b}{27 x^{27}}-\frac{a^{8}}{30 x^{30}}"," ",0,"-7/6*a^6*b^2/x^24-56/15*a^3*b^5/x^15-8/3*a^5*b^3/x^21-35/9*a^4*b^4/x^18-1/30*a^8/x^30-8/27*a^7*b/x^27-1/6*b^8/x^6-8/9*a*b^7/x^9-7/3*a^2*b^6/x^12","B"
303,1,91,56,0.007000," ","int((b*x^3+a)^8/x^34,x)","-\frac{b^{8}}{9 x^{9}}-\frac{2 a \,b^{7}}{3 x^{12}}-\frac{28 a^{2} b^{6}}{15 x^{15}}-\frac{28 a^{3} b^{5}}{9 x^{18}}-\frac{10 a^{4} b^{4}}{3 x^{21}}-\frac{7 a^{5} b^{3}}{3 x^{24}}-\frac{28 a^{6} b^{2}}{27 x^{27}}-\frac{4 a^{7} b}{15 x^{30}}-\frac{a^{8}}{33 x^{33}}"," ",0,"-28/9*a^3*b^5/x^18-10/3*a^4*b^4/x^21-1/33*a^8/x^33-7/3*a^5*b^3/x^24-4/15*a^7*b/x^30-28/15*a^2*b^6/x^15-1/9*b^8/x^9-28/27*a^6*b^2/x^27-2/3*a*b^7/x^12","A"
304,1,91,76,0.006000," ","int((b*x^3+a)^8/x^37,x)","-\frac{b^{8}}{12 x^{12}}-\frac{8 a \,b^{7}}{15 x^{15}}-\frac{14 a^{2} b^{6}}{9 x^{18}}-\frac{8 a^{3} b^{5}}{3 x^{21}}-\frac{35 a^{4} b^{4}}{12 x^{24}}-\frac{56 a^{5} b^{3}}{27 x^{27}}-\frac{14 a^{6} b^{2}}{15 x^{30}}-\frac{8 a^{7} b}{33 x^{33}}-\frac{a^{8}}{36 x^{36}}"," ",0,"-8/3*a^3*b^5/x^21-8/15*a*b^7/x^15-1/36*a^8/x^36-56/27*a^5*b^3/x^27-35/12*a^4*b^4/x^24-14/15*a^6*b^2/x^30-8/33*a^7*b/x^33-14/9*a^2*b^6/x^18-1/12*b^8/x^12","A"
305,1,91,96,0.007000," ","int((b*x^3+a)^8/x^40,x)","-\frac{b^{8}}{15 x^{15}}-\frac{4 a \,b^{7}}{9 x^{18}}-\frac{4 a^{2} b^{6}}{3 x^{21}}-\frac{7 a^{3} b^{5}}{3 x^{24}}-\frac{70 a^{4} b^{4}}{27 x^{27}}-\frac{28 a^{5} b^{3}}{15 x^{30}}-\frac{28 a^{6} b^{2}}{33 x^{33}}-\frac{2 a^{7} b}{9 x^{36}}-\frac{a^{8}}{39 x^{39}}"," ",0,"-2/9*a^7*b/x^36-28/33*a^6*b^2/x^33-4/3*a^2*b^6/x^21-7/3*a^3*b^5/x^24-28/15*a^5*b^3/x^30-1/39*a^8/x^39-70/27*a^4*b^4/x^27-1/15*b^8/x^15-4/9*a*b^7/x^18","A"
306,1,91,90,0.006000," ","int((b*x^3+a)^8/x^43,x)","-\frac{b^{8}}{18 x^{18}}-\frac{8 a \,b^{7}}{21 x^{21}}-\frac{7 a^{2} b^{6}}{6 x^{24}}-\frac{56 a^{3} b^{5}}{27 x^{27}}-\frac{7 a^{4} b^{4}}{3 x^{30}}-\frac{56 a^{5} b^{3}}{33 x^{33}}-\frac{7 a^{6} b^{2}}{9 x^{36}}-\frac{8 a^{7} b}{39 x^{39}}-\frac{a^{8}}{42 x^{42}}"," ",0,"-1/42*a^8/x^42-8/39*a^7*b/x^39-7/9*a^6*b^2/x^36-56/33*a^5*b^3/x^33-7/3*a^4*b^4/x^30-56/27*a^3*b^5/x^27-7/6*a^2*b^6/x^24-8/21*a*b^7/x^21-1/18*b^8/x^18","A"
307,1,91,90,0.008000," ","int((b*x^3+a)^8/x^46,x)","-\frac{b^{8}}{21 x^{21}}-\frac{a \,b^{7}}{3 x^{24}}-\frac{28 a^{2} b^{6}}{27 x^{27}}-\frac{28 a^{3} b^{5}}{15 x^{30}}-\frac{70 a^{4} b^{4}}{33 x^{33}}-\frac{14 a^{5} b^{3}}{9 x^{36}}-\frac{28 a^{6} b^{2}}{39 x^{39}}-\frac{4 a^{7} b}{21 x^{42}}-\frac{a^{8}}{45 x^{45}}"," ",0,"-1/45*a^8/x^45-4/21*a^7*b/x^42-28/39*a^6*b^2/x^39-14/9*a^5*b^3/x^36-70/33*a^4*b^4/x^33-28/15*a^3*b^5/x^30-28/27*a^2*b^6/x^27-1/3*a*b^7/x^24-1/21*b^8/x^21","A"
308,1,90,89,0.001000," ","int(x^4*(b*x^3+a)^8,x)","\frac{1}{29} b^{8} x^{29}+\frac{4}{13} a \,b^{7} x^{26}+\frac{28}{23} a^{2} b^{6} x^{23}+\frac{14}{5} a^{3} b^{5} x^{20}+\frac{70}{17} a^{4} b^{4} x^{17}+4 a^{5} b^{3} x^{14}+\frac{28}{11} a^{6} b^{2} x^{11}+a^{7} b \,x^{8}+\frac{1}{5} a^{8} x^{5}"," ",0,"1/5*a^8*x^5+a^7*b*x^8+28/11*a^6*b^2*x^11+4*a^5*b^3*x^14+70/17*a^4*b^4*x^17+14/5*a^3*b^5*x^20+28/23*a^2*b^6*x^23+4/13*a*b^7*x^26+1/29*b^8*x^29","A"
309,1,91,90,0.000000," ","int(x^3*(b*x^3+a)^8,x)","\frac{1}{28} b^{8} x^{28}+\frac{8}{25} a \,b^{7} x^{25}+\frac{14}{11} a^{2} b^{6} x^{22}+\frac{56}{19} a^{3} b^{5} x^{19}+\frac{35}{8} a^{4} b^{4} x^{16}+\frac{56}{13} a^{5} b^{3} x^{13}+\frac{14}{5} a^{6} b^{2} x^{10}+\frac{8}{7} a^{7} b \,x^{7}+\frac{1}{4} a^{8} x^{4}"," ",0,"1/4*a^8*x^4+8/7*a^7*b*x^7+14/5*a^6*b^2*x^10+56/13*a^5*b^3*x^13+35/8*a^4*b^4*x^16+56/19*a^3*b^5*x^19+14/11*a^2*b^6*x^22+8/25*a*b^7*x^25+1/28*b^8*x^28","A"
310,1,91,90,0.001000," ","int(x*(b*x^3+a)^8,x)","\frac{1}{26} b^{8} x^{26}+\frac{8}{23} a \,b^{7} x^{23}+\frac{7}{5} a^{2} b^{6} x^{20}+\frac{56}{17} a^{3} b^{5} x^{17}+5 a^{4} b^{4} x^{14}+\frac{56}{11} a^{5} b^{3} x^{11}+\frac{7}{2} a^{6} b^{2} x^{8}+\frac{8}{5} a^{7} b \,x^{5}+\frac{1}{2} a^{8} x^{2}"," ",0,"1/2*a^8*x^2+8/5*a^7*b*x^5+7/2*a^6*b^2*x^8+56/11*a^5*b^3*x^11+5*a^4*b^4*x^14+56/17*a^3*b^5*x^17+7/5*a^2*b^6*x^20+8/23*a*b^7*x^23+1/26*b^8*x^26","A"
311,1,88,87,0.002000," ","int((b*x^3+a)^8,x)","\frac{1}{25} b^{8} x^{25}+\frac{4}{11} a \,b^{7} x^{22}+\frac{28}{19} a^{2} b^{6} x^{19}+\frac{7}{2} a^{3} b^{5} x^{16}+\frac{70}{13} a^{4} b^{4} x^{13}+\frac{28}{5} a^{5} b^{3} x^{10}+4 a^{6} b^{2} x^{7}+2 a^{7} b \,x^{4}+a^{8} x"," ",0,"a^8*x+2*a^7*b*x^4+4*a^6*b^2*x^7+28/5*a^5*b^3*x^10+70/13*a^4*b^4*x^13+7/2*a^3*b^5*x^16+28/19*a^2*b^6*x^19+4/11*a*b^7*x^22+1/25*b^8*x^25","A"
312,1,91,90,0.004000," ","int((b*x^3+a)^8/x^2,x)","\frac{b^{8} x^{23}}{23}+\frac{2 a \,b^{7} x^{20}}{5}+\frac{28 a^{2} b^{6} x^{17}}{17}+4 a^{3} b^{5} x^{14}+\frac{70 a^{4} b^{4} x^{11}}{11}+7 a^{5} b^{3} x^{8}+\frac{28 a^{6} b^{2} x^{5}}{5}+4 a^{7} b \,x^{2}-\frac{a^{8}}{x}"," ",0,"-a^8/x+4*a^7*b*x^2+28/5*a^6*b^2*x^5+7*a^5*b^3*x^8+70/11*a^4*b^4*x^11+4*a^3*b^5*x^14+28/17*a^2*b^6*x^17+2/5*a*b^7*x^20+1/23*b^8*x^23","A"
313,1,89,88,0.004000," ","int((b*x^3+a)^8/x^3,x)","\frac{b^{8} x^{22}}{22}+\frac{8 a \,b^{7} x^{19}}{19}+\frac{7 a^{2} b^{6} x^{16}}{4}+\frac{56 a^{3} b^{5} x^{13}}{13}+7 a^{4} b^{4} x^{10}+8 a^{5} b^{3} x^{7}+7 a^{6} b^{2} x^{4}+8 a^{7} b x -\frac{a^{8}}{2 x^{2}}"," ",0,"-1/2*a^8/x^2+8*a^7*b*x+7*a^6*b^2*x^4+8*a^5*b^3*x^7+7*a^4*b^4*x^10+56/13*a^3*b^5*x^13+7/4*a^2*b^6*x^16+8/19*a*b^7*x^19+1/22*b^8*x^22","A"
314,1,91,90,0.006000," ","int((b*x^3+a)^8/x^5,x)","\frac{b^{8} x^{20}}{20}+\frac{8 a \,b^{7} x^{17}}{17}+2 a^{2} b^{6} x^{14}+\frac{56 a^{3} b^{5} x^{11}}{11}+\frac{35 a^{4} b^{4} x^{8}}{4}+\frac{56 a^{5} b^{3} x^{5}}{5}+14 a^{6} b^{2} x^{2}-\frac{8 a^{7} b}{x}-\frac{a^{8}}{4 x^{4}}"," ",0,"-1/4*a^8/x^4-8*a^7*b/x+14*a^6*b^2*x^2+56/5*a^5*b^3*x^5+35/4*a^4*b^4*x^8+56/11*a^3*b^5*x^11+2*a^2*b^6*x^14+8/17*a*b^7*x^17+1/20*b^8*x^20","A"
315,1,89,88,0.005000," ","int((b*x^3+a)^8/x^6,x)","\frac{b^{8} x^{19}}{19}+\frac{a \,b^{7} x^{16}}{2}+\frac{28 a^{2} b^{6} x^{13}}{13}+\frac{28 a^{3} b^{5} x^{10}}{5}+10 a^{4} b^{4} x^{7}+14 a^{5} b^{3} x^{4}+28 a^{6} b^{2} x -\frac{4 a^{7} b}{x^{2}}-\frac{a^{8}}{5 x^{5}}"," ",0,"-1/5*a^8/x^5-4*a^7*b/x^2+28*a^6*b^2*x+14*a^5*b^3*x^4+10*a^4*b^4*x^7+28/5*a^3*b^5*x^10+28/13*a^2*b^6*x^13+1/2*a*b^7*x^16+1/19*b^8*x^19","A"
316,1,91,90,0.006000," ","int((b*x^3+a)^8/x^8,x)","\frac{b^{8} x^{17}}{17}+\frac{4 a \,b^{7} x^{14}}{7}+\frac{28 a^{2} b^{6} x^{11}}{11}+7 a^{3} b^{5} x^{8}+14 a^{4} b^{4} x^{5}+28 a^{5} b^{3} x^{2}-\frac{28 a^{6} b^{2}}{x}-\frac{2 a^{7} b}{x^{4}}-\frac{a^{8}}{7 x^{7}}"," ",0,"-1/7*a^8/x^7-2*a^7*b/x^4-28*a^6*b^2/x+28*a^5*b^3*x^2+14*a^4*b^4*x^5+7*a^3*b^5*x^8+28/11*a^2*b^6*x^11+4/7*a*b^7*x^14+1/17*b^8*x^17","A"
317,1,89,88,0.006000," ","int((b*x^3+a)^8/x^9,x)","\frac{b^{8} x^{16}}{16}+\frac{8 a \,b^{7} x^{13}}{13}+\frac{14 a^{2} b^{6} x^{10}}{5}+8 a^{3} b^{5} x^{7}+\frac{35 a^{4} b^{4} x^{4}}{2}+56 a^{5} b^{3} x -\frac{14 a^{6} b^{2}}{x^{2}}-\frac{8 a^{7} b}{5 x^{5}}-\frac{a^{8}}{8 x^{8}}"," ",0,"-1/8*a^8/x^8-8/5*a^7*b/x^5-14*a^6*b^2/x^2+56*a^5*b^3*x+35/2*a^4*b^4*x^4+8*a^3*b^5*x^7+14/5*a^2*b^6*x^10+8/13*a*b^7*x^13+1/16*b^8*x^16","A"
318,1,35,34,0.003000," ","int(x^8/(b*x^3+a),x)","\frac{x^{6}}{6 b}-\frac{a \,x^{3}}{3 b^{2}}+\frac{a^{2} \ln \left(b \,x^{3}+a \right)}{3 b^{3}}"," ",0,"-1/3*a*x^3/b^2+1/6*x^6/b+1/3*a^2*ln(b*x^3+a)/b^3","A"
319,1,24,23,0.004000," ","int(x^5/(b*x^3+a),x)","\frac{x^{3}}{3 b}-\frac{a \ln \left(b \,x^{3}+a \right)}{3 b^{2}}"," ",0,"1/3*x^3/b-1/3*a*ln(b*x^3+a)/b^2","A"
320,1,14,13,0.001000," ","int(x^2/(b*x^3+a),x)","\frac{\ln \left(b \,x^{3}+a \right)}{3 b}"," ",0,"1/3*ln(b*x^3+a)/b","A"
321,1,21,20,0.005000," ","int(1/x/(b*x^3+a),x)","\frac{\ln \left(x \right)}{a}-\frac{\ln \left(b \,x^{3}+a \right)}{3 a}"," ",0,"ln(x)/a-1/3*ln(b*x^3+a)/a","A"
322,1,32,31,0.006000," ","int(1/x^4/(b*x^3+a),x)","-\frac{b \ln \left(x \right)}{a^{2}}+\frac{b \ln \left(b \,x^{3}+a \right)}{3 a^{2}}-\frac{1}{3 a \,x^{3}}"," ",0,"-1/3/a/x^3-b*ln(x)/a^2+1/3*b*ln(b*x^3+a)/a^2","A"
323,1,102,86,0.005000," ","int(x^4/(b*x^3+a),x)","\frac{x^{2}}{2 b}-\frac{\sqrt{3}\, a \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}+\frac{a \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}-\frac{a \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}"," ",0,"1/2*x^2/b+1/3*a/b^2/(a/b)^(1/3)*ln(x+(a/b)^(1/3))-1/6*a/b^2/(a/b)^(1/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))-1/3*a/b^2*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
324,1,99,83,0.003000," ","int(x^3/(b*x^3+a),x)","-\frac{\sqrt{3}\, a \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}-\frac{a \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}+\frac{a \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}+\frac{x}{b}"," ",0,"x/b-1/3*a/b^2/(a/b)^(2/3)*ln(x+(a/b)^(1/3))+1/6*a/b^2/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))-1/3*a/b^2/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
325,1,91,78,0.002000," ","int(x/(b*x^3+a),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b}-\frac{\ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b}+\frac{\ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{3}} b}"," ",0,"-1/3/b/(a/b)^(1/3)*ln(x+(a/b)^(1/3))+1/6/b/(a/b)^(1/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+1/3*3^(1/2)/b/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
326,1,91,78,0.002000," ","int(1/(b*x^3+a),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b}+\frac{\ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b}-\frac{\ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{2}{3}} b}"," ",0,"1/3/b/(a/b)^(2/3)*ln(x+(a/b)^(1/3))-1/6/b/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+1/3/b/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
327,1,99,86,0.005000," ","int(1/x^2/(b*x^3+a),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} a}+\frac{\ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} a}-\frac{\ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{3}} a}-\frac{1}{a x}"," ",0,"1/3/a/(a/b)^(1/3)*ln(x+(a/b)^(1/3))-1/6/a/(a/b)^(1/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))-1/3/a*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))-1/a/x","A"
328,1,99,86,0.005000," ","int(1/x^3/(b*x^3+a),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} a}-\frac{\ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} a}+\frac{\ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{2}{3}} a}-\frac{1}{2 a \,x^{2}}"," ",0,"-1/3/a/(a/b)^(2/3)*ln(x+(a/b)^(1/3))+1/6/a/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))-1/3/a/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))-1/2/a/x^2","A"
329,1,41,40,0.010000," ","int(x^8/(b*x^3+a)^2,x)","\frac{x^{3}}{3 b^{2}}-\frac{a^{2}}{3 \left(b \,x^{3}+a \right) b^{3}}-\frac{2 a \ln \left(b \,x^{3}+a \right)}{3 b^{3}}"," ",0,"1/3*x^3/b^2-1/3*a^2/b^3/(b*x^3+a)-2/3*a*ln(b*x^3+a)/b^3","A"
330,1,30,29,0.008000," ","int(x^5/(b*x^3+a)^2,x)","\frac{a}{3 \left(b \,x^{3}+a \right) b^{2}}+\frac{\ln \left(b \,x^{3}+a \right)}{3 b^{2}}"," ",0,"1/3*a/b^2/(b*x^3+a)+1/3*ln(b*x^3+a)/b^2","A"
331,1,15,14,0.000000," ","int(x^2/(b*x^3+a)^2,x)","-\frac{1}{3 \left(b \,x^{3}+a \right) b}"," ",0,"-1/3/b/(b*x^3+a)","A"
332,1,35,34,0.010000," ","int(1/x/(b*x^3+a)^2,x)","\frac{1}{3 \left(b \,x^{3}+a \right) a}+\frac{\ln \left(x \right)}{a^{2}}-\frac{\ln \left(b \,x^{3}+a \right)}{3 a^{2}}"," ",0,"1/3/a/(b*x^3+a)+ln(x)/a^2-1/3*ln(b*x^3+a)/a^2","A"
333,1,47,46,0.013000," ","int(1/x^4/(b*x^3+a)^2,x)","-\frac{b}{3 \left(b \,x^{3}+a \right) a^{2}}-\frac{2 b \ln \left(x \right)}{a^{3}}+\frac{2 b \ln \left(b \,x^{3}+a \right)}{3 a^{3}}-\frac{1}{3 a^{2} x^{3}}"," ",0,"-1/3/a^2/x^3-1/3*b/a^2/(b*x^3+a)-2*b*ln(x)/a^3+2/3*b*ln(b*x^3+a)/a^3","A"
334,1,108,95,0.007000," ","int(x^4/(b*x^3+a)^2,x)","-\frac{x^{2}}{3 \left(b \,x^{3}+a \right) b}+\frac{2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}-\frac{2 \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}+\frac{\ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}"," ",0,"-1/3*x^2/b/(b*x^3+a)-2/9/b^2/(a/b)^(1/3)*ln(x+(a/b)^(1/3))+1/9/b^2/(a/b)^(1/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+2/9/b^2*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
335,1,106,93,0.008000," ","int(x^3/(b*x^3+a)^2,x)","-\frac{x}{3 \left(b \,x^{3}+a \right) b}+\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}+\frac{\ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}-\frac{\ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}"," ",0,"-1/3*x/b/(b*x^3+a)+1/9/b^2/(a/b)^(2/3)*ln(x+(a/b)^(1/3))-1/18/b^2/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+1/9/b^2/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
336,1,117,95,0.005000," ","int(x/(b*x^3+a)^2,x)","\frac{x^{2}}{3 \left(b \,x^{3}+a \right) a}+\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a b}-\frac{\ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a b}+\frac{\ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{a}{b}\right)^{\frac{1}{3}} a b}"," ",0,"1/3*x^2/a/(b*x^3+a)-1/9/a/b/(a/b)^(1/3)*ln(x+(a/b)^(1/3))+1/18/a/b/(a/b)^(1/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+1/9/a*3^(1/2)/b/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
337,1,115,93,0.004000," ","int(1/(b*x^3+a)^2,x)","\frac{x}{3 \left(b \,x^{3}+a \right) a}+\frac{2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a b}+\frac{2 \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a b}-\frac{\ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a b}"," ",0,"1/3*x/a/(b*x^3+a)+2/9/a/b/(a/b)^(2/3)*ln(x+(a/b)^(1/3))-1/9/a/b/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+2/9/a/b/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
338,1,117,103,0.010000," ","int(1/x^2/(b*x^3+a)^2,x)","-\frac{b \,x^{2}}{3 \left(b \,x^{3}+a \right) a^{2}}-\frac{4 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2}}+\frac{4 \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2}}-\frac{2 \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2}}-\frac{1}{a^{2} x}"," ",0,"-1/3/a^2*b*x^2/(b*x^3+a)+4/9/a^2/(a/b)^(1/3)*ln(x+(a/b)^(1/3))-2/9/a^2/(a/b)^(1/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))-4/9/a^2*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))-1/a^2/x","A"
339,1,115,103,0.010000," ","int(1/x^3/(b*x^3+a)^2,x)","-\frac{b x}{3 \left(b \,x^{3}+a \right) a^{2}}-\frac{5 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{2}}-\frac{5 \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{2}}+\frac{5 \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{2}}-\frac{1}{2 a^{2} x^{2}}"," ",0,"-1/3/a^2*b*x/(b*x^3+a)-5/9/a^2/(a/b)^(2/3)*ln(x+(a/b)^(1/3))+5/18/a^2/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))-5/9/a^2/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))-1/2/a^2/x^2","A"
340,1,58,57,0.012000," ","int(x^11/(b*x^3+a)^3,x)","\frac{x^{3}}{3 b^{3}}+\frac{a^{3}}{6 \left(b \,x^{3}+a \right)^{2} b^{4}}-\frac{a^{2}}{\left(b \,x^{3}+a \right) b^{4}}-\frac{a \ln \left(b \,x^{3}+a \right)}{b^{4}}"," ",0,"1/3*x^3/b^3+1/6*a^3/b^4/(b*x^3+a)^2-a^2/b^4/(b*x^3+a)-a*ln(b*x^3+a)/b^4","A"
341,1,47,46,0.010000," ","int(x^8/(b*x^3+a)^3,x)","-\frac{a^{2}}{6 \left(b \,x^{3}+a \right)^{2} b^{3}}+\frac{2 a}{3 \left(b \,x^{3}+a \right) b^{3}}+\frac{\ln \left(b \,x^{3}+a \right)}{3 b^{3}}"," ",0,"-1/6*a^2/b^3/(b*x^3+a)^2+2/3*a/b^3/(b*x^3+a)+1/3*ln(b*x^3+a)/b^3","A"
342,1,31,17,0.008000," ","int(x^5/(b*x^3+a)^3,x)","\frac{a}{6 \left(b \,x^{3}+a \right)^{2} b^{2}}-\frac{1}{3 \left(b \,x^{3}+a \right) b^{2}}"," ",0,"-1/3/b^2/(b*x^3+a)+1/6*a/b^2/(b*x^3+a)^2","A"
343,1,15,14,0.000000," ","int(x^2/(b*x^3+a)^3,x)","-\frac{1}{6 \left(b \,x^{3}+a \right)^{2} b}"," ",0,"-1/6/b/(b*x^3+a)^2","A"
344,1,49,48,0.013000," ","int(1/x/(b*x^3+a)^3,x)","\frac{1}{6 \left(b \,x^{3}+a \right)^{2} a}+\frac{1}{3 \left(b \,x^{3}+a \right) a^{2}}+\frac{\ln \left(x \right)}{a^{3}}-\frac{\ln \left(b \,x^{3}+a \right)}{3 a^{3}}"," ",0,"1/6/a/(b*x^3+a)^2+1/3/a^2/(b*x^3+a)+ln(x)/a^3-1/3*ln(b*x^3+a)/a^3","A"
345,1,61,60,0.013000," ","int(1/x^4/(b*x^3+a)^3,x)","-\frac{b}{6 \left(b \,x^{3}+a \right)^{2} a^{2}}-\frac{2 b}{3 \left(b \,x^{3}+a \right) a^{3}}-\frac{3 b \ln \left(x \right)}{a^{4}}+\frac{b \ln \left(b \,x^{3}+a \right)}{a^{4}}-\frac{1}{3 a^{3} x^{3}}"," ",0,"-1/3/a^3/x^3-1/6*b/a^2/(b*x^3+a)^2-2/3*b/a^3/(b*x^3+a)-3*b*ln(x)/a^4+b*ln(b*x^3+a)/a^4","A"
346,1,119,112,0.011000," ","int(x^7/(b*x^3+a)^3,x)","\frac{5 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{27 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{3}}-\frac{5 \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{3}}+\frac{5 \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{3}}+\frac{-\frac{4 x^{5}}{9 b}-\frac{5 a \,x^{2}}{18 b^{2}}}{\left(b \,x^{3}+a \right)^{2}}"," ",0,"(-4/9*x^5/b-5/18*a*x^2/b^2)/(b*x^3+a)^2-5/27/b^3/(a/b)^(1/3)*ln(x+(a/b)^(1/3))+5/54/b^3/(a/b)^(1/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+5/27/b^3*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
347,1,117,110,0.010000," ","int(x^6/(b*x^3+a)^3,x)","\frac{2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{27 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{3}}+\frac{2 \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{3}}-\frac{\ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{27 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{3}}+\frac{-\frac{7 x^{4}}{18 b}-\frac{2 a x}{9 b^{2}}}{\left(b \,x^{3}+a \right)^{2}}"," ",0,"(-7/18/b*x^4-2/9*a*x/b^2)/(b*x^3+a)^2+2/27/b^3/(a/b)^(2/3)*ln(x+(a/b)^(1/3))-1/27/b^3/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+2/27/b^3/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
348,1,127,115,0.012000," ","int(x^4/(b*x^3+a)^3,x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{27 \left(\frac{a}{b}\right)^{\frac{1}{3}} a \,b^{2}}-\frac{\ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \left(\frac{a}{b}\right)^{\frac{1}{3}} a \,b^{2}}+\frac{\ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \left(\frac{a}{b}\right)^{\frac{1}{3}} a \,b^{2}}+\frac{\frac{x^{5}}{9 a}-\frac{x^{2}}{18 b}}{\left(b \,x^{3}+a \right)^{2}}"," ",0,"(1/9*x^5/a-1/18/b*x^2)/(b*x^3+a)^2-1/27/b^2/a/(a/b)^(1/3)*ln(x+(a/b)^(1/3))+1/54/b^2/a/(a/b)^(1/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+1/27/b^2/a*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
349,1,125,111,0.010000," ","int(x^3/(b*x^3+a)^3,x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{27 \left(\frac{a}{b}\right)^{\frac{2}{3}} a \,b^{2}}+\frac{\ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \left(\frac{a}{b}\right)^{\frac{2}{3}} a \,b^{2}}-\frac{\ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \left(\frac{a}{b}\right)^{\frac{2}{3}} a \,b^{2}}+\frac{\frac{x^{4}}{18 a}-\frac{x}{9 b}}{\left(b \,x^{3}+a \right)^{2}}"," ",0,"(1/18*x^4/a-1/9/b*x)/(b*x^3+a)^2+1/27/b^2/a/(a/b)^(2/3)*ln(x+(a/b)^(1/3))-1/54/b^2/a/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+1/27/b^2/a/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
350,1,134,112,0.003000," ","int(x/(b*x^3+a)^3,x)","\frac{x^{2}}{6 \left(b \,x^{3}+a \right)^{2} a}+\frac{2 x^{2}}{9 \left(b \,x^{3}+a \right) a^{2}}+\frac{2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{27 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2} b}-\frac{2 \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2} b}+\frac{\ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{27 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2} b}"," ",0,"1/6*x^2/a/(b*x^3+a)^2+2/9*x^2/a^2/(b*x^3+a)-2/27/a^2/b/(a/b)^(1/3)*ln(x+(a/b)^(1/3))+1/27/a^2/b/(a/b)^(1/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+2/27/a^2*3^(1/2)/b/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
351,1,130,108,0.005000," ","int(1/(b*x^3+a)^3,x)","\frac{x}{6 \left(b \,x^{3}+a \right)^{2} a}+\frac{5 x}{18 \left(b \,x^{3}+a \right) a^{2}}+\frac{5 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{27 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{2} b}+\frac{5 \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{2} b}-\frac{5 \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \left(\frac{a}{b}\right)^{\frac{2}{3}} a^{2} b}"," ",0,"1/6*x/a/(b*x^3+a)^2+5/18*x/a^2/(b*x^3+a)+5/27/a^2/b/(a/b)^(2/3)*ln(x+(a/b)^(1/3))-5/54/a^2/b/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+5/27/a^2/b/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
352,1,37,35,0.004000," ","int(x^8/(-b*x^3+a),x)","-\frac{x^{6}}{6 b}-\frac{a \,x^{3}}{3 b^{2}}-\frac{a^{2} \ln \left(b \,x^{3}-a \right)}{3 b^{3}}"," ",0,"-1/6/b*x^6-1/3*a/b^2*x^3-1/3*a^2/b^3*ln(b*x^3-a)","A"
353,1,26,24,0.004000," ","int(x^5/(-b*x^3+a),x)","-\frac{x^{3}}{3 b}-\frac{a \ln \left(b \,x^{3}-a \right)}{3 b^{2}}"," ",0,"-1/3/b*x^3-1/3*a/b^2*ln(b*x^3-a)","A"
354,1,16,14,0.001000," ","int(x^2/(-b*x^3+a),x)","-\frac{\ln \left(b \,x^{3}-a \right)}{3 b}"," ",0,"-1/3/b*ln(b*x^3-a)","A"
355,1,23,21,0.004000," ","int(1/x/(-b*x^3+a),x)","\frac{\ln \left(x \right)}{a}-\frac{\ln \left(b \,x^{3}-a \right)}{3 a}"," ",0,"-1/3/a*ln(b*x^3-a)+1/a*ln(x)","A"
356,1,33,31,0.006000," ","int(1/x^4/(-b*x^3+a),x)","\frac{b \ln \left(x \right)}{a^{2}}-\frac{b \ln \left(b \,x^{3}-a \right)}{3 a^{2}}-\frac{1}{3 a \,x^{3}}"," ",0,"-1/3/a^2*b*ln(b*x^3-a)-1/3/a/x^3+1/a^2*b*ln(x)","A"
357,1,103,86,0.005000," ","int(x^4/(-b*x^3+a),x)","-\frac{x^{2}}{2 b}-\frac{\sqrt{3}\, a \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}+1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}-\frac{a \ln \left(x -\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}+\frac{a \ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}"," ",0,"-1/2/b*x^2-1/3*a/b^2/(a/b)^(1/3)*ln(x-(a/b)^(1/3))+1/6*a/b^2/(a/b)^(1/3)*ln(x^2+(a/b)^(1/3)*x+(a/b)^(2/3))-1/3*a/b^2*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x+1))","A"
358,1,101,84,0.003000," ","int(x^3/(-b*x^3+a),x)","\frac{\sqrt{3}\, a \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}+1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}-\frac{a \ln \left(x -\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}+\frac{a \ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}-\frac{x}{b}"," ",0,"-1/b*x-1/3*a/b^2/(a/b)^(2/3)*ln(x-(a/b)^(1/3))+1/6*a/b^2/(a/b)^(2/3)*ln(x^2+(a/b)^(1/3)*x+(a/b)^(2/3))+1/3*a/b^2/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x+1))","A"
359,1,92,78,0.002000," ","int(x/(-b*x^3+a),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}+1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b}-\frac{\ln \left(x -\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b}+\frac{\ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{3}} b}"," ",0,"-1/3/b/(a/b)^(1/3)*ln(x-(a/b)^(1/3))+1/6/b/(a/b)^(1/3)*ln(x^2+(a/b)^(1/3)*x+(a/b)^(2/3))-1/3*3^(1/2)/b/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x+1))","A"
360,1,92,78,0.002000," ","int(1/(-b*x^3+a),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}+1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b}-\frac{\ln \left(x -\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b}+\frac{\ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{2}{3}} b}"," ",0,"-1/3/b/(a/b)^(2/3)*ln(x-(a/b)^(1/3))+1/6/b/(a/b)^(2/3)*ln(x^2+(a/b)^(1/3)*x+(a/b)^(2/3))+1/3/b/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x+1))","A"
361,1,100,86,0.006000," ","int(1/x^2/(-b*x^3+a),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}+1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} a}-\frac{\ln \left(x -\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} a}+\frac{\ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{3}} a}-\frac{1}{a x}"," ",0,"-1/a/x-1/3/a/(a/b)^(1/3)*ln(x-(a/b)^(1/3))+1/6/a/(a/b)^(1/3)*ln(x^2+(a/b)^(1/3)*x+(a/b)^(2/3))-1/3/a*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x+1))","A"
362,1,100,86,0.005000," ","int(1/x^3/(-b*x^3+a),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}+1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} a}-\frac{\ln \left(x -\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} a}+\frac{\ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{2}{3}} a}-\frac{1}{2 a \,x^{2}}"," ",0,"-1/2/a/x^2-1/3/a/(a/b)^(2/3)*ln(x-(a/b)^(1/3))+1/6/a/(a/b)^(2/3)*ln(x^2+(a/b)^(1/3)*x+(a/b)^(2/3))+1/3/a/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x+1))","A"
363,1,105,90,0.004000," ","int(1/(b*x^3+a+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a +1}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a +1}{b}\right)^{\frac{2}{3}} b}+\frac{\ln \left(x +\left(\frac{a +1}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a +1}{b}\right)^{\frac{2}{3}} b}-\frac{\ln \left(x^{2}-\left(\frac{a +1}{b}\right)^{\frac{1}{3}} x +\left(\frac{a +1}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a +1}{b}\right)^{\frac{2}{3}} b}"," ",0,"1/3/b/((1+a)/b)^(2/3)*ln(x+((1+a)/b)^(1/3))-1/6/b/((1+a)/b)^(2/3)*ln(x^2-((1+a)/b)^(1/3)*x+((1+a)/b)^(2/3))+1/3/b/((1+a)/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/((1+a)/b)^(1/3)*x-1))","A"
364,1,106,90,0.005000," ","int(1/(-b*x^3+a+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a +1}{b}\right)^{\frac{1}{3}}}+1\right)}{3}\right)}{3 \left(\frac{a +1}{b}\right)^{\frac{2}{3}} b}-\frac{\ln \left(x -\left(\frac{a +1}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a +1}{b}\right)^{\frac{2}{3}} b}+\frac{\ln \left(x^{2}+\left(\frac{a +1}{b}\right)^{\frac{1}{3}} x +\left(\frac{a +1}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a +1}{b}\right)^{\frac{2}{3}} b}"," ",0,"-1/3/b/((a+1)/b)^(2/3)*ln(x-((a+1)/b)^(1/3))+1/6/b/((a+1)/b)^(2/3)*ln(x^2+((a+1)/b)^(1/3)*x+((a+1)/b)^(2/3))+1/3/b/((a+1)/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/((a+1)/b)^(1/3)*x+1))","A"
365,1,105,104,0.004000," ","int(1/(b*x^3+a-1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a -1}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a -1}{b}\right)^{\frac{2}{3}} b}+\frac{\ln \left(x +\left(\frac{a -1}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a -1}{b}\right)^{\frac{2}{3}} b}-\frac{\ln \left(x^{2}-\left(\frac{a -1}{b}\right)^{\frac{1}{3}} x +\left(\frac{a -1}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a -1}{b}\right)^{\frac{2}{3}} b}"," ",0,"1/3/b/((-1+a)/b)^(2/3)*ln(x+((-1+a)/b)^(1/3))-1/6/b/((-1+a)/b)^(2/3)*ln(x^2-((-1+a)/b)^(1/3)*x+((-1+a)/b)^(2/3))+1/3/b/((-1+a)/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/((-1+a)/b)^(1/3)*x-1))","A"
366,1,106,104,0.005000," ","int(1/(-b*x^3+a-1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a -1}{b}\right)^{\frac{1}{3}}}+1\right)}{3}\right)}{3 \left(\frac{a -1}{b}\right)^{\frac{2}{3}} b}-\frac{\ln \left(x -\left(\frac{a -1}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a -1}{b}\right)^{\frac{2}{3}} b}+\frac{\ln \left(x^{2}+\left(\frac{a -1}{b}\right)^{\frac{1}{3}} x +\left(\frac{a -1}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a -1}{b}\right)^{\frac{2}{3}} b}"," ",0,"-1/3/b/((a-1)/b)^(2/3)*ln(x-((a-1)/b)^(1/3))+1/6/b/((a-1)/b)^(2/3)*ln(x^2+((a-1)/b)^(1/3)*x+((a-1)/b)^(2/3))+1/3/b/((a-1)/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/((a-1)/b)^(1/3)*x+1))","A"
367,1,7,6,0.006000," ","int(x^(1/2)/(x^3+1),x)","\frac{2 \arctan \left(x^{\frac{3}{2}}\right)}{3}"," ",0,"2/3*arctan(x^(3/2))","A"
368,1,47,64,0.008000," ","int(x^11*(b*x^3+a)^(1/2),x)","-\frac{2 \left(b \,x^{3}+a \right)^{\frac{3}{2}} \left(-35 b^{3} x^{9}+30 a \,b^{2} x^{6}-24 a^{2} b \,x^{3}+16 a^{3}\right)}{945 b^{4}}"," ",0,"-2/945*(b*x^3+a)^(3/2)*(-35*b^3*x^9+30*a*b^2*x^6-24*a^2*b*x^3+16*a^3)/b^4","A"
369,1,36,47,0.006000," ","int(x^8*(b*x^3+a)^(1/2),x)","\frac{2 \left(b \,x^{3}+a \right)^{\frac{3}{2}} \left(15 b^{2} x^{6}-12 a b \,x^{3}+8 a^{2}\right)}{315 b^{3}}"," ",0,"2/315*(b*x^3+a)^(3/2)*(15*b^2*x^6-12*a*b*x^3+8*a^2)/b^3","A"
370,1,25,30,0.005000," ","int(x^5*(b*x^3+a)^(1/2),x)","-\frac{2 \left(b \,x^{3}+a \right)^{\frac{3}{2}} \left(-3 b \,x^{3}+2 a \right)}{45 b^{2}}"," ",0,"-2/45*(b*x^3+a)^(3/2)*(-3*b*x^3+2*a)/b^2","A"
371,1,15,14,0.006000," ","int(x^2*(b*x^3+a)^(1/2),x)","\frac{2 \left(b \,x^{3}+a \right)^{\frac{3}{2}}}{9 b}"," ",0,"2/9*(b*x^3+a)^(3/2)/b","A"
372,1,32,31,0.276000," ","int((b*x^3+a)^(1/2)/x,x)","-\frac{2 \sqrt{a}\, \arctanh \left(\frac{\sqrt{b \,x^{3}+a}}{\sqrt{a}}\right)}{3}+\frac{2 \sqrt{b \,x^{3}+a}}{3}"," ",0,"-2/3*arctanh((b*x^3+a)^(1/2)/a^(1/2))*a^(1/2)+2/3*(b*x^3+a)^(1/2)","A"
373,1,36,35,0.023000," ","int((b*x^3+a)^(1/2)/x^4,x)","-\frac{b \arctanh \left(\frac{\sqrt{b \,x^{3}+a}}{\sqrt{a}}\right)}{3 \sqrt{a}}-\frac{\sqrt{b \,x^{3}+a}}{3 x^{3}}"," ",0,"-1/3*b*arctanh((b*x^3+a)^(1/2)/a^(1/2))/a^(1/2)-1/3*(b*x^3+a)^(1/2)/x^3","A"
374,1,56,55,0.026000," ","int((b*x^3+a)^(1/2)/x^7,x)","\frac{b^{2} \arctanh \left(\frac{\sqrt{b \,x^{3}+a}}{\sqrt{a}}\right)}{12 a^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{3}+a}\, b}{12 a \,x^{3}}-\frac{\sqrt{b \,x^{3}+a}}{6 x^{6}}"," ",0,"1/12*b^2*arctanh((b*x^3+a)^(1/2)/a^(1/2))/a^(3/2)-1/6*(b*x^3+a)^(1/2)/x^6-1/12*b*(b*x^3+a)^(1/2)/a/x^3","A"
375,1,76,75,0.026000," ","int((b*x^3+a)^(1/2)/x^10,x)","-\frac{b^{3} \arctanh \left(\frac{\sqrt{b \,x^{3}+a}}{\sqrt{a}}\right)}{24 a^{\frac{5}{2}}}+\frac{\sqrt{b \,x^{3}+a}\, b^{2}}{24 a^{2} x^{3}}-\frac{\sqrt{b \,x^{3}+a}\, b}{36 a \,x^{6}}-\frac{\sqrt{b \,x^{3}+a}}{9 x^{9}}"," ",0,"-1/24*b^3*arctanh((b*x^3+a)^(1/2)/a^(1/2))/a^(5/2)-1/9*(b*x^3+a)^(1/2)/x^9-1/36*b*(b*x^3+a)^(1/2)/x^6/a+1/24*b^2*(b*x^3+a)^(1/2)/a^2/x^3","A"
376,1,337,208,0.020000," ","int(x^6*(b*x^3+a)^(1/2),x)","\frac{2 \sqrt{b \,x^{3}+a}\, x^{7}}{17}+\frac{6 \sqrt{b \,x^{3}+a}\, a \,x^{4}}{187 b}-\frac{32 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, a^{3} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{935 \sqrt{b \,x^{3}+a}\, b^{3}}-\frac{48 \sqrt{b \,x^{3}+a}\, a^{2} x}{935 b^{2}}"," ",0,"2/17*x^7*(b*x^3+a)^(1/2)+6/187*a*x^4*(b*x^3+a)^(1/2)/b-48/935*a^2*x*(b*x^3+a)^(1/2)/b^2-32/935*I*a^3/b^3*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2/b*(-a*b^2)^(1/3)-1/2*I*3^(1/2)/b*(-a*b^2)^(1/3))*3^(1/2)*b/(-a*b^2)^(1/3))^(1/2)*((x-1/b*(-a*b^2)^(1/3))/(-3/2/b*(-a*b^2)^(1/3)+1/2*I*3^(1/2)/b*(-a*b^2)^(1/3)))^(1/2)*(-I*(x+1/2/b*(-a*b^2)^(1/3)+1/2*I*3^(1/2)/b*(-a*b^2)^(1/3))*3^(1/2)*b/(-a*b^2)^(1/3))^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2/b*(-a*b^2)^(1/3)-1/2*I*3^(1/2)/b*(-a*b^2)^(1/3))*3^(1/2)*b/(-a*b^2)^(1/3))^(1/2),(I*3^(1/2)/b*(-a*b^2)^(1/3)/(-3/2/b*(-a*b^2)^(1/3)+1/2*I*3^(1/2)/b*(-a*b^2)^(1/3)))^(1/2))","A"
377,1,317,188,0.022000," ","int(x^3*(b*x^3+a)^(1/2),x)","\frac{2 \sqrt{b \,x^{3}+a}\, x^{4}}{11}+\frac{4 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, a^{2} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{55 \sqrt{b \,x^{3}+a}\, b^{2}}+\frac{6 \sqrt{b \,x^{3}+a}\, a x}{55 b}"," ",0,"2/11*x^4*(b*x^3+a)^(1/2)+6/55*a*x*(b*x^3+a)^(1/2)/b+4/55*I*a^2/b^2*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
378,1,297,168,0.018000," ","int((b*x^3+a)^(1/2),x)","-\frac{2 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, a \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{5 \sqrt{b \,x^{3}+a}\, b}+\frac{2 \sqrt{b \,x^{3}+a}\, x}{5}"," ",0,"2/5*x*(b*x^3+a)^(1/2)-2/5*I*a*3^(1/2)*(-a*b^2)^(1/3)/b*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
379,1,295,169,0.022000," ","int((b*x^3+a)^(1/2)/x^3,x)","-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{2 \sqrt{b \,x^{3}+a}}-\frac{\sqrt{b \,x^{3}+a}}{2 x^{2}}"," ",0,"-1/2*(b*x^3+a)^(1/2)/x^2-1/2*I*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
380,1,317,190,0.023000," ","int((b*x^3+a)^(1/2)/x^6,x)","\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, b \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{20 \sqrt{b \,x^{3}+a}\, a}-\frac{3 \sqrt{b \,x^{3}+a}\, b}{20 a \,x^{2}}-\frac{\sqrt{b \,x^{3}+a}}{5 x^{5}}"," ",0,"-1/5*(b*x^3+a)^(1/2)/x^5-3/20*b*(b*x^3+a)^(1/2)/a/x^2+1/20*I*b/a*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
381,1,339,210,0.027000," ","int((b*x^3+a)^(1/2)/x^9,x)","-\frac{7 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, b^{2} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{320 \sqrt{b \,x^{3}+a}\, a^{2}}+\frac{21 \sqrt{b \,x^{3}+a}\, b^{2}}{320 a^{2} x^{2}}-\frac{3 \sqrt{b \,x^{3}+a}\, b}{80 a \,x^{5}}-\frac{\sqrt{b \,x^{3}+a}}{8 x^{8}}"," ",0,"-1/8*(b*x^3+a)^(1/2)/x^8-3/80*b*(b*x^3+a)^(1/2)/a/x^5+21/320*b^2*(b*x^3+a)^(1/2)/a^2/x^2-7/320*I*b^2/a^2*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
382,1,491,393,0.020000," ","int((b*x^3+a)^(1/2)*x^7,x)","\frac{2 \sqrt{b \,x^{3}+a}\, x^{8}}{19}+\frac{6 \sqrt{b \,x^{3}+a}\, a \,x^{5}}{247 b}-\frac{60 \sqrt{b \,x^{3}+a}\, a^{2} x^{2}}{1729 b^{2}}-\frac{80 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) a^{3}}{1729 \sqrt{b \,x^{3}+a}\, b^{3}}"," ",0,"2/19*x^8*(b*x^3+a)^(1/2)+6/247*a*x^5*(b*x^3+a)^(1/2)/b-60/1729*a^2*x^2*(b*x^3+a)^(1/2)/b^2-80/1729*I*a^3/b^3*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
383,1,471,373,0.022000," ","int((b*x^3+a)^(1/2)*x^4,x)","\frac{2 \sqrt{b \,x^{3}+a}\, x^{5}}{13}+\frac{6 \sqrt{b \,x^{3}+a}\, a \,x^{2}}{91 b}+\frac{8 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) a^{2}}{91 \sqrt{b \,x^{3}+a}\, b^{2}}"," ",0,"2/13*x^5*(b*x^3+a)^(1/2)+6/91*a*x^2*(b*x^3+a)^(1/2)/b+8/91*I*a^2/b^2*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
384,1,451,353,0.019000," ","int((b*x^3+a)^(1/2)*x,x)","\frac{2 \sqrt{b \,x^{3}+a}\, x^{2}}{7}-\frac{2 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) a}{7 \sqrt{b \,x^{3}+a}\, b}"," ",0,"2/7*x^2*(b*x^3+a)^(1/2)-2/7*I*a*3^(1/2)*(-a*b^2)^(1/3)/b*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
385,1,447,351,0.023000," ","int((b*x^3+a)^(1/2)/x^2,x)","-\frac{\sqrt{b \,x^{3}+a}}{x}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right)}{\sqrt{b \,x^{3}+a}}"," ",0,"-(b*x^3+a)^(1/2)/x-I*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
386,1,469,373,0.024000," ","int((b*x^3+a)^(1/2)/x^5,x)","-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) b}{8 \sqrt{b \,x^{3}+a}\, a}-\frac{3 \sqrt{b \,x^{3}+a}\, b}{8 a x}-\frac{\sqrt{b \,x^{3}+a}}{4 x^{4}}"," ",0,"-1/4*(b*x^3+a)^(1/2)/x^4-3/8*b*(b*x^3+a)^(1/2)/a/x-1/8*I*b/a*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
387,1,47,64,0.008000," ","int(x^11*(b*x^3+a)^(3/2),x)","-\frac{2 \left(b \,x^{3}+a \right)^{\frac{5}{2}} \left(-105 b^{3} x^{9}+70 a \,b^{2} x^{6}-40 a^{2} b \,x^{3}+16 a^{3}\right)}{3465 b^{4}}"," ",0,"-2/3465*(b*x^3+a)^(5/2)*(-105*b^3*x^9+70*a*b^2*x^6-40*a^2*b*x^3+16*a^3)/b^4","A"
388,1,36,47,0.006000," ","int(x^8*(b*x^3+a)^(3/2),x)","\frac{2 \left(b \,x^{3}+a \right)^{\frac{5}{2}} \left(35 b^{2} x^{6}-20 a b \,x^{3}+8 a^{2}\right)}{945 b^{3}}"," ",0,"2/945*(b*x^3+a)^(5/2)*(35*b^2*x^6-20*a*b*x^3+8*a^2)/b^3","A"
389,1,25,30,0.005000," ","int(x^5*(b*x^3+a)^(3/2),x)","-\frac{2 \left(b \,x^{3}+a \right)^{\frac{5}{2}} \left(-5 b \,x^{3}+2 a \right)}{105 b^{2}}"," ",0,"-2/105*(b*x^3+a)^(5/2)*(-5*b*x^3+2*a)/b^2","A"
390,1,15,14,0.006000," ","int(x^2*(b*x^3+a)^(3/2),x)","\frac{2 \left(b \,x^{3}+a \right)^{\frac{5}{2}}}{15 b}"," ",0,"2/15*(b*x^3+a)^(5/2)/b","A"
391,1,48,43,0.021000," ","int((b*x^3+a)^(3/2)/x,x)","\frac{2 \sqrt{b \,x^{3}+a}\, b \,x^{3}}{9}-\frac{2 a^{\frac{3}{2}} \arctanh \left(\frac{\sqrt{b \,x^{3}+a}}{\sqrt{a}}\right)}{3}+\frac{8 \sqrt{b \,x^{3}+a}\, a}{9}"," ",0,"2/9*b*x^3*(b*x^3+a)^(1/2)+8/9*a*(b*x^3+a)^(1/2)-2/3*a^(3/2)*arctanh((b*x^3+a)^(1/2)/a^(1/2))","A"
392,1,49,46,0.026000," ","int((b*x^3+a)^(3/2)/x^4,x)","-\sqrt{a}\, b \arctanh \left(\frac{\sqrt{b \,x^{3}+a}}{\sqrt{a}}\right)+\frac{2 \sqrt{b \,x^{3}+a}\, b}{3}-\frac{\sqrt{b \,x^{3}+a}\, a}{3 x^{3}}"," ",0,"-1/3*a*(b*x^3+a)^(1/2)/x^3+2/3*b*(b*x^3+a)^(1/2)-b*arctanh((b*x^3+a)^(1/2)/a^(1/2))*a^(1/2)","A"
393,1,54,52,0.027000," ","int((b*x^3+a)^(3/2)/x^7,x)","-\frac{b^{2} \arctanh \left(\frac{\sqrt{b \,x^{3}+a}}{\sqrt{a}}\right)}{4 \sqrt{a}}-\frac{5 \sqrt{b \,x^{3}+a}\, b}{12 x^{3}}-\frac{\sqrt{b \,x^{3}+a}\, a}{6 x^{6}}"," ",0,"-1/6*a*(b*x^3+a)^(1/2)/x^6-5/12*b*(b*x^3+a)^(1/2)/x^3-1/4*b^2*arctanh((b*x^3+a)^(1/2)/a^(1/2))/a^(1/2)","A"
394,1,355,225,0.022000," ","int(x^6*(b*x^3+a)^(3/2),x)","\frac{2 \sqrt{b \,x^{3}+a}\, b \,x^{10}}{23}+\frac{52 \sqrt{b \,x^{3}+a}\, a \,x^{7}}{391}+\frac{54 \sqrt{b \,x^{3}+a}\, a^{2} x^{4}}{4301 b}-\frac{288 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, a^{4} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{21505 \sqrt{b \,x^{3}+a}\, b^{3}}-\frac{432 \sqrt{b \,x^{3}+a}\, a^{3} x}{21505 b^{2}}"," ",0,"2/23*b*x^10*(b*x^3+a)^(1/2)+52/391*a*x^7*(b*x^3+a)^(1/2)+54/4301*a^2*x^4*(b*x^3+a)^(1/2)/b-432/21505*a^3*x*(b*x^3+a)^(1/2)/b^2-288/21505*I*a^4/b^3*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
395,1,335,205,0.022000," ","int(x^3*(b*x^3+a)^(3/2),x)","\frac{2 \sqrt{b \,x^{3}+a}\, b \,x^{7}}{17}+\frac{40 \sqrt{b \,x^{3}+a}\, a \,x^{4}}{187}+\frac{36 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, a^{3} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{935 \sqrt{b \,x^{3}+a}\, b^{2}}+\frac{54 \sqrt{b \,x^{3}+a}\, a^{2} x}{935 b}"," ",0,"2/17*b*x^7*(b*x^3+a)^(1/2)+40/187*a*x^4*(b*x^3+a)^(1/2)+54/935*a^2*x*(b*x^3+a)^(1/2)/b+36/935*I*a^3/b^2*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
396,1,315,183,0.020000," ","int((b*x^3+a)^(3/2),x)","\frac{2 \sqrt{b \,x^{3}+a}\, b \,x^{4}}{11}-\frac{18 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, a^{2} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{55 \sqrt{b \,x^{3}+a}\, b}+\frac{28 \sqrt{b \,x^{3}+a}\, a x}{55}"," ",0,"2/11*b*x^4*(b*x^3+a)^(1/2)+28/55*a*x*(b*x^3+a)^(1/2)-18/55*I*a^2*3^(1/2)*(-a*b^2)^(1/3)/b*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
397,1,310,183,0.022000," ","int((b*x^3+a)^(3/2)/x^3,x)","-\frac{9 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, a \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{10 \sqrt{b \,x^{3}+a}}+\frac{2 \sqrt{b \,x^{3}+a}\, b x}{5}-\frac{\sqrt{b \,x^{3}+a}\, a}{2 x^{2}}"," ",0,"-1/2*a*(b*x^3+a)^(1/2)/x^2+2/5*b*x*(b*x^3+a)^(1/2)-9/10*I*a*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
398,1,312,184,0.026000," ","int((b*x^3+a)^(3/2)/x^6,x)","-\frac{9 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, b \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{20 \sqrt{b \,x^{3}+a}}-\frac{13 \sqrt{b \,x^{3}+a}\, b}{20 x^{2}}-\frac{\sqrt{b \,x^{3}+a}\, a}{5 x^{5}}"," ",0,"-1/5*a*(b*x^3+a)^(1/2)/x^5-13/20*b*(b*x^3+a)^(1/2)/x^2-9/20*I*b*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
399,1,509,410,0.022000," ","int(x^7*(b*x^3+a)^(3/2),x)","\frac{2 \sqrt{b \,x^{3}+a}\, b \,x^{11}}{25}+\frac{56 \sqrt{b \,x^{3}+a}\, a \,x^{8}}{475}+\frac{54 \sqrt{b \,x^{3}+a}\, a^{2} x^{5}}{6175 b}-\frac{108 \sqrt{b \,x^{3}+a}\, a^{3} x^{2}}{8645 b^{2}}-\frac{144 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) a^{4}}{8645 \sqrt{b \,x^{3}+a}\, b^{3}}"," ",0,"2/25*b*x^11*(b*x^3+a)^(1/2)+56/475*a*x^8*(b*x^3+a)^(1/2)+54/6175*a^2*x^5*(b*x^3+a)^(1/2)/b-108/8645*a^3*x^2*(b*x^3+a)^(1/2)/b^2-144/8645*I*a^4/b^3*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
400,1,489,390,0.022000," ","int(x^4*(b*x^3+a)^(3/2),x)","\frac{2 \sqrt{b \,x^{3}+a}\, b \,x^{8}}{19}+\frac{44 \sqrt{b \,x^{3}+a}\, a \,x^{5}}{247}+\frac{54 \sqrt{b \,x^{3}+a}\, a^{2} x^{2}}{1729 b}+\frac{72 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) a^{3}}{1729 \sqrt{b \,x^{3}+a}\, b^{2}}"," ",0,"2/19*b*x^8*(b*x^3+a)^(1/2)+44/247*a*x^5*(b*x^3+a)^(1/2)+54/1729*a^2*x^2*(b*x^3+a)^(1/2)/b+72/1729*I*a^3/b^2*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
401,1,469,370,0.019000," ","int(x*(b*x^3+a)^(3/2),x)","\frac{2 \sqrt{b \,x^{3}+a}\, b \,x^{5}}{13}+\frac{32 \sqrt{b \,x^{3}+a}\, a \,x^{2}}{91}-\frac{18 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) a^{2}}{91 \sqrt{b \,x^{3}+a}\, b}"," ",0,"2/13*b*x^5*(b*x^3+a)^(1/2)+32/91*a*x^2*(b*x^3+a)^(1/2)-18/91*I*a^2*3^(1/2)*(-a*b^2)^(1/3)/b*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
402,1,464,368,0.023000," ","int((b*x^3+a)^(3/2)/x^2,x)","\frac{2 \sqrt{b \,x^{3}+a}\, b \,x^{2}}{7}-\frac{9 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) a}{7 \sqrt{b \,x^{3}+a}}-\frac{\sqrt{b \,x^{3}+a}\, a}{x}"," ",0,"-a*(b*x^3+a)^(1/2)/x+2/7*b*x^2*(b*x^3+a)^(1/2)-9/7*I*a*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
403,1,464,367,0.026000," ","int((b*x^3+a)^(3/2)/x^5,x)","-\frac{9 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) b}{8 \sqrt{b \,x^{3}+a}}-\frac{11 \sqrt{b \,x^{3}+a}\, b}{8 x}-\frac{\sqrt{b \,x^{3}+a}\, a}{4 x^{4}}"," ",0,"-1/4*a*(b*x^3+a)^(1/2)/x^4-11/8*b*(b*x^3+a)^(1/2)/x-9/8*I*b*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
404,1,47,64,0.007000," ","int(x^11/(b*x^3+a)^(1/2),x)","-\frac{2 \sqrt{b \,x^{3}+a}\, \left(-5 b^{3} x^{9}+6 a \,b^{2} x^{6}-8 a^{2} b \,x^{3}+16 a^{3}\right)}{105 b^{4}}"," ",0,"-2/105*(b*x^3+a)^(1/2)*(-5*b^3*x^9+6*a*b^2*x^6-8*a^2*b*x^3+16*a^3)/b^4","A"
405,1,36,47,0.007000," ","int(x^8/(b*x^3+a)^(1/2),x)","\frac{2 \sqrt{b \,x^{3}+a}\, \left(3 b^{2} x^{6}-4 a b \,x^{3}+8 a^{2}\right)}{45 b^{3}}"," ",0,"2/45*(b*x^3+a)^(1/2)*(3*b^2*x^6-4*a*b*x^3+8*a^2)/b^3","A"
406,1,25,30,0.004000," ","int(x^5/(b*x^3+a)^(1/2),x)","-\frac{2 \sqrt{b \,x^{3}+a}\, \left(-b \,x^{3}+2 a \right)}{9 b^{2}}"," ",0,"-2/9*(b*x^3+a)^(1/2)*(-b*x^3+2*a)/b^2","A"
407,1,15,14,0.004000," ","int(x^2/(b*x^3+a)^(1/2),x)","\frac{2 \sqrt{b \,x^{3}+a}}{3 b}"," ",0,"2/3*(b*x^3+a)^(1/2)/b","A"
408,1,20,19,0.021000," ","int(1/x/(b*x^3+a)^(1/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{b \,x^{3}+a}}{\sqrt{a}}\right)}{3 \sqrt{a}}"," ",0,"-2/3*arctanh((b*x^3+a)^(1/2)/a^(1/2))/a^(1/2)","A"
409,1,39,38,0.024000," ","int(1/x^4/(b*x^3+a)^(1/2),x)","\frac{b \arctanh \left(\frac{\sqrt{b \,x^{3}+a}}{\sqrt{a}}\right)}{3 a^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{3}+a}}{3 a \,x^{3}}"," ",0,"1/3*b*arctanh((b*x^3+a)^(1/2)/a^(1/2))/a^(3/2)-1/3*(b*x^3+a)^(1/2)/a/x^3","A"
410,1,59,58,0.025000," ","int(1/x^7/(b*x^3+a)^(1/2),x)","-\frac{b^{2} \arctanh \left(\frac{\sqrt{b \,x^{3}+a}}{\sqrt{a}}\right)}{4 a^{\frac{5}{2}}}+\frac{\sqrt{b \,x^{3}+a}\, b}{4 a^{2} x^{3}}-\frac{\sqrt{b \,x^{3}+a}}{6 a \,x^{6}}"," ",0,"-1/4*b^2*arctanh((b*x^3+a)^(1/2)/a^(1/2))/a^(5/2)-1/6*(b*x^3+a)^(1/2)/x^6/a+1/4*b*(b*x^3+a)^(1/2)/a^2/x^3","A"
411,1,320,191,0.021000," ","int(x^6/(b*x^3+a)^(1/2),x)","\frac{2 \sqrt{b \,x^{3}+a}\, x^{4}}{11 b}-\frac{32 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, a^{2} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{165 \sqrt{b \,x^{3}+a}\, b^{3}}-\frac{16 \sqrt{b \,x^{3}+a}\, a x}{55 b^{2}}"," ",0,"2/11*x^4*(b*x^3+a)^(1/2)/b-16/55*a*x*(b*x^3+a)^(1/2)/b^2-32/165*I*a^2/b^3*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
412,1,300,171,0.023000," ","int(x^3/(b*x^3+a)^(1/2),x)","\frac{4 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, a \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{15 \sqrt{b \,x^{3}+a}\, b^{2}}+\frac{2 \sqrt{b \,x^{3}+a}\, x}{5 b}"," ",0,"2/5*x*(b*x^3+a)^(1/2)/b+4/15*I*a/b^2*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
413,1,283,154,0.017000," ","int(1/(b*x^3+a)^(1/2),x)","-\frac{2 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{3 \sqrt{b \,x^{3}+a}\, b}"," ",0,"-2/3*I*3^(1/2)*(-a*b^2)^(1/3)/b*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
414,1,301,175,0.022000," ","int(1/x^3/(b*x^3+a)^(1/2),x)","\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{6 \sqrt{b \,x^{3}+a}\, a}-\frac{\sqrt{b \,x^{3}+a}}{2 a \,x^{2}}"," ",0,"-1/2*(b*x^3+a)^(1/2)/a/x^2+1/6*I/a*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
415,1,320,193,0.024000," ","int(1/x^6/(b*x^3+a)^(1/2),x)","-\frac{7 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, b \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{60 \sqrt{b \,x^{3}+a}\, a^{2}}+\frac{7 \sqrt{b \,x^{3}+a}\, b}{20 a^{2} x^{2}}-\frac{\sqrt{b \,x^{3}+a}}{5 a \,x^{5}}"," ",0,"-1/5*(b*x^3+a)^(1/2)/a/x^5+7/20*b*(b*x^3+a)^(1/2)/a^2/x^2-7/60*I/a^2*b*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
416,1,474,376,0.022000," ","int(x^7/(b*x^3+a)^(1/2),x)","\frac{2 \sqrt{b \,x^{3}+a}\, x^{5}}{13 b}-\frac{20 \sqrt{b \,x^{3}+a}\, a \,x^{2}}{91 b^{2}}-\frac{80 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) a^{2}}{273 \sqrt{b \,x^{3}+a}\, b^{3}}"," ",0,"2/13*x^5*(b*x^3+a)^(1/2)/b-20/91*a*x^2*(b*x^3+a)^(1/2)/b^2-80/273*I*a^2/b^3*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
417,1,454,356,0.021000," ","int(x^4/(b*x^3+a)^(1/2),x)","\frac{2 \sqrt{b \,x^{3}+a}\, x^{2}}{7 b}+\frac{8 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) a}{21 \sqrt{b \,x^{3}+a}\, b^{2}}"," ",0,"2/7*x^2*(b*x^3+a)^(1/2)/b+8/21*I*a/b^2*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
418,1,435,338,0.020000," ","int(x/(b*x^3+a)^(1/2),x)","-\frac{2 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right)}{3 \sqrt{b \,x^{3}+a}\, b}"," ",0,"-2/3*I*3^(1/2)*(-a*b^2)^(1/3)/b*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
419,1,453,357,0.020000," ","int(1/x^2/(b*x^3+a)^(1/2),x)","-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right)}{3 \sqrt{b \,x^{3}+a}\, a}-\frac{\sqrt{b \,x^{3}+a}}{a x}"," ",0,"-(b*x^3+a)^(1/2)/a/x-1/3*I/a*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
420,1,472,376,0.023000," ","int(1/x^5/(b*x^3+a)^(1/2),x)","\frac{5 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) b}{24 \sqrt{b \,x^{3}+a}\, a^{2}}+\frac{5 \sqrt{b \,x^{3}+a}\, b}{8 a^{2} x}-\frac{\sqrt{b \,x^{3}+a}}{4 a \,x^{4}}"," ",0,"-1/4*(b*x^3+a)^(1/2)/a/x^4+5/8*b*(b*x^3+a)^(1/2)/a^2/x+5/24*I/a^2*b*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
421,1,46,64,0.008000," ","int(x^11/(b*x^3+a)^(3/2),x)","\frac{\frac{2}{15} b^{3} x^{9}-\frac{4}{15} a \,b^{2} x^{6}+\frac{16}{15} a^{2} b \,x^{3}+\frac{32}{15} a^{3}}{\sqrt{b \,x^{3}+a}\, b^{4}}"," ",0,"2/15/(b*x^3+a)^(1/2)*(b^3*x^9-2*a*b^2*x^6+8*a^2*b*x^3+16*a^3)/b^4","A"
422,1,36,47,0.006000," ","int(x^8/(b*x^3+a)^(3/2),x)","-\frac{2 \left(-b^{2} x^{6}+4 a b \,x^{3}+8 a^{2}\right)}{9 \sqrt{b \,x^{3}+a}\, b^{3}}"," ",0,"-2/9/(b*x^3+a)^(1/2)*(-b^2*x^6+4*a*b*x^3+8*a^2)/b^3","A"
423,1,24,30,0.005000," ","int(x^5/(b*x^3+a)^(3/2),x)","\frac{\frac{2 b \,x^{3}}{3}+\frac{4 a}{3}}{\sqrt{b \,x^{3}+a}\, b^{2}}"," ",0,"2/3/(b*x^3+a)^(1/2)*(b*x^3+2*a)/b^2","A"
424,1,15,14,0.005000," ","int(x^2/(b*x^3+a)^(3/2),x)","-\frac{2}{3 \sqrt{b \,x^{3}+a}\, b}"," ",0,"-2/3/b/(b*x^3+a)^(1/2)","A"
425,1,39,34,0.029000," ","int(1/x/(b*x^3+a)^(3/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{b \,x^{3}+a}}{\sqrt{a}}\right)}{3 a^{\frac{3}{2}}}+\frac{2}{3 \sqrt{\left(x^{3}+\frac{a}{b}\right) b}\, a}"," ",0,"2/3/a/((x^3+a/b)*b)^(1/2)-2/3*arctanh((b*x^3+a)^(1/2)/a^(1/2))/a^(3/2)","A"
426,1,57,52,0.027000," ","int(1/x^4/(b*x^3+a)^(3/2),x)","\frac{b \arctanh \left(\frac{\sqrt{b \,x^{3}+a}}{\sqrt{a}}\right)}{a^{\frac{5}{2}}}-\frac{2 b}{3 \sqrt{\left(x^{3}+\frac{a}{b}\right) b}\, a^{2}}-\frac{\sqrt{b \,x^{3}+a}}{3 a^{2} x^{3}}"," ",0,"-1/3/a^2*(b*x^3+a)^(1/2)/x^3-2/3*b/a^2/((x^3+a/b)*b)^(1/2)+b*arctanh((b*x^3+a)^(1/2)/a^(1/2))/a^(5/2)","A"
427,1,80,75,0.029000," ","int(1/x^7/(b*x^3+a)^(3/2),x)","-\frac{5 b^{2} \arctanh \left(\frac{\sqrt{b \,x^{3}+a}}{\sqrt{a}}\right)}{4 a^{\frac{7}{2}}}+\frac{2 b^{2}}{3 \sqrt{\left(x^{3}+\frac{a}{b}\right) b}\, a^{3}}+\frac{7 \sqrt{b \,x^{3}+a}\, b}{12 a^{3} x^{3}}-\frac{\sqrt{b \,x^{3}+a}}{6 a^{2} x^{6}}"," ",0,"-1/6/a^2*(b*x^3+a)^(1/2)/x^6+7/12/a^3*b*(b*x^3+a)^(1/2)/x^3+2/3*b^2/a^3/((x^3+a/b)*b)^(1/2)-5/4*b^2*arctanh((b*x^3+a)^(1/2)/a^(1/2))/a^(7/2)","A"
428,1,320,188,0.023000," ","int(x^6/(b*x^3+a)^(3/2),x)","\frac{2 a x}{3 \sqrt{\left(x^{3}+\frac{a}{b}\right) b}\, b^{2}}+\frac{32 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, a \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{45 \sqrt{b \,x^{3}+a}\, b^{3}}+\frac{2 \sqrt{b \,x^{3}+a}\, x}{5 b^{2}}"," ",0,"2/3/b^2*a*x/((x^3+a/b)*b)^(1/2)+2/5*x*(b*x^3+a)^(1/2)/b^2+32/45*I*a/b^3*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
429,1,303,170,0.023000," ","int(x^3/(b*x^3+a)^(3/2),x)","-\frac{2 x}{3 \sqrt{\left(x^{3}+\frac{a}{b}\right) b}\, b}-\frac{4 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{9 \sqrt{b \,x^{3}+a}\, b^{2}}"," ",0,"-2/3/b*x/((x^3+a/b)*b)^(1/2)-4/9*I/b^2*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
430,1,306,173,0.020000," ","int(1/(b*x^3+a)^(3/2),x)","\frac{2 x}{3 \sqrt{\left(x^{3}+\frac{a}{b}\right) b}\, a}-\frac{2 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{9 \sqrt{b \,x^{3}+a}\, a b}"," ",0,"2/3/a*x/((x^3+a/b)*b)^(1/2)-2/9*I/a*3^(1/2)*(-a*b^2)^(1/3)/b*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
431,1,321,192,0.026000," ","int(1/x^3/(b*x^3+a)^(3/2),x)","-\frac{2 b x}{3 \sqrt{\left(x^{3}+\frac{a}{b}\right) b}\, a^{2}}+\frac{7 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{18 \sqrt{b \,x^{3}+a}\, a^{2}}-\frac{\sqrt{b \,x^{3}+a}}{2 a^{2} x^{2}}"," ",0,"-2/3*b/a^2*x/((x^3+a/b)*b)^(1/2)-1/2*(b*x^3+a)^(1/2)/a^2/x^2+7/18*I/a^2*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
432,1,342,210,0.028000," ","int(1/x^6/(b*x^3+a)^(3/2),x)","\frac{2 b^{2} x}{3 \sqrt{\left(x^{3}+\frac{a}{b}\right) b}\, a^{3}}-\frac{91 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, b \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{180 \sqrt{b \,x^{3}+a}\, a^{3}}+\frac{17 \sqrt{b \,x^{3}+a}\, b}{20 a^{3} x^{2}}-\frac{\sqrt{b \,x^{3}+a}}{5 a^{2} x^{5}}"," ",0,"-1/5*(b*x^3+a)^(1/2)/a^2/x^5+17/20*b*(b*x^3+a)^(1/2)/x^2/a^3+2/3*b^2/a^3*x/((x^3+a/b)*b)^(1/2)-91/180*I/a^3*b*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))","A"
433,1,476,373,0.026000," ","int(x^7/(b*x^3+a)^(3/2),x)","\frac{2 a \,x^{2}}{3 \sqrt{\left(x^{3}+\frac{a}{b}\right) b}\, b^{2}}+\frac{2 \sqrt{b \,x^{3}+a}\, x^{2}}{7 b^{2}}+\frac{80 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) a}{63 \sqrt{b \,x^{3}+a}\, b^{3}}"," ",0,"2/3/b^2*a*x^2/((x^3+a/b)*b)^(1/2)+2/7*x^2*(b*x^3+a)^(1/2)/b^2+80/63*I*a/b^3*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
434,1,457,355,0.025000," ","int(x^4/(b*x^3+a)^(3/2),x)","-\frac{2 x^{2}}{3 \sqrt{\left(x^{3}+\frac{a}{b}\right) b}\, b}-\frac{8 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right)}{9 \sqrt{b \,x^{3}+a}\, b^{2}}"," ",0,"-2/3/b*x^2/((x^3+a/b)*b)^(1/2)-8/9*I/b^2*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
435,1,460,358,0.021000," ","int(x/(b*x^3+a)^(3/2),x)","\frac{2 x^{2}}{3 \sqrt{\left(x^{3}+\frac{a}{b}\right) b}\, a}+\frac{2 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right)}{9 \sqrt{b \,x^{3}+a}\, a b}"," ",0,"2/3/a*x^2/((x^3+a/b)*b)^(1/2)+2/9*I/a*3^(1/2)*(-a*b^2)^(1/3)/b*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
436,1,475,375,0.025000," ","int(1/x^2/(b*x^3+a)^(3/2),x)","-\frac{2 b \,x^{2}}{3 \sqrt{\left(x^{3}+\frac{a}{b}\right) b}\, a^{2}}-\frac{5 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right)}{9 \sqrt{b \,x^{3}+a}\, a^{2}}-\frac{\sqrt{b \,x^{3}+a}}{a^{2} x}"," ",0,"-2/3*b/a^2*x^2/((x^3+a/b)*b)^(1/2)-(b*x^3+a)^(1/2)/a^2/x-5/9*I/a^2*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
437,1,496,393,0.028000," ","int(1/x^5/(b*x^3+a)^(3/2),x)","\frac{2 b^{2} x^{2}}{3 \sqrt{\left(x^{3}+\frac{a}{b}\right) b}\, a^{3}}+\frac{55 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) b}{72 \sqrt{b \,x^{3}+a}\, a^{3}}+\frac{13 \sqrt{b \,x^{3}+a}\, b}{8 a^{3} x}-\frac{\sqrt{b \,x^{3}+a}}{4 a^{2} x^{4}}"," ",0,"2/3*b^2/a^3*x^2/((x^3+a/b)*b)^(1/2)-1/4*(b*x^3+a)^(1/2)/x^4/a^2+13/8*b*(b*x^3+a)^(1/2)/a^3/x+55/72*I/a^3*b*3^(1/2)*(-a*b^2)^(1/3)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)*((x-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*(x+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2)/(b*x^3+a)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)/(-a*b^2)^(1/3)*b)^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2)))","A"
438,1,38,37,0.005000," ","int(x^11/(x^3+1)^(1/2),x)","\frac{2 \left(x +1\right) \left(x^{2}-x +1\right) \left(5 x^{9}-6 x^{6}+8 x^{3}-16\right)}{105 \sqrt{x^{3}+1}}"," ",0,"2/105*(x+1)*(x^2-x+1)*(5*x^9-6*x^6+8*x^3-16)/(x^3+1)^(1/2)","A"
439,1,33,28,0.005000," ","int(x^8/(x^3+1)^(1/2),x)","\frac{2 \left(x +1\right) \left(x^{2}-x +1\right) \left(3 x^{6}-4 x^{3}+8\right)}{45 \sqrt{x^{3}+1}}"," ",0,"2/45*(x+1)*(x^2-x+1)*(3*x^6-4*x^3+8)/(x^3+1)^(1/2)","A"
440,1,26,19,0.005000," ","int(x^5/(x^3+1)^(1/2),x)","\frac{2 \left(x +1\right) \left(x^{2}-x +1\right) \left(x^{3}-2\right)}{9 \sqrt{x^{3}+1}}"," ",0,"2/9*(x+1)*(x^2-x+1)*(x^3-2)/(x^3+1)^(1/2)","A"
441,1,21,9,0.004000," ","int(x^2/(x^3+1)^(1/2),x)","\frac{2 \left(x +1\right) \left(x^{2}-x +1\right)}{3 \sqrt{x^{3}+1}}"," ",0,"2/3*(x+1)*(x^2-x+1)/(x^3+1)^(1/2)","B"
442,1,11,10,0.161000," ","int(1/x/(x^3+1)^(1/2),x)","-\frac{2 \arctanh \left(\sqrt{x^{3}+1}\right)}{3}"," ",0,"-2/3*arctanh((x^3+1)^(1/2))","A"
443,1,24,23,0.023000," ","int(1/x^4/(x^3+1)^(1/2),x)","\frac{\arctanh \left(\sqrt{x^{3}+1}\right)}{3}-\frac{\sqrt{x^{3}+1}}{3 x^{3}}"," ",0,"1/3*arctanh((x^3+1)^(1/2))-1/3*(x^3+1)^(1/2)/x^3","A"
444,1,36,35,0.022000," ","int(1/x^7/(x^3+1)^(1/2),x)","-\frac{\arctanh \left(\sqrt{x^{3}+1}\right)}{4}+\frac{\sqrt{x^{3}+1}}{4 x^{3}}-\frac{\sqrt{x^{3}+1}}{6 x^{6}}"," ",0,"-1/4*arctanh((x^3+1)^(1/2))-1/6*(x^3+1)^(1/2)/x^6+1/4*(x^3+1)^(1/2)/x^3","A"
445,1,48,47,0.024000," ","int(1/x^10/(x^3+1)^(1/2),x)","\frac{5 \arctanh \left(\sqrt{x^{3}+1}\right)}{24}-\frac{5 \sqrt{x^{3}+1}}{24 x^{3}}+\frac{5 \sqrt{x^{3}+1}}{36 x^{6}}-\frac{\sqrt{x^{3}+1}}{9 x^{9}}"," ",0,"5/24*arctanh((x^3+1)^(1/2))-1/9*(x^3+1)^(1/2)/x^9+5/36*(x^3+1)^(1/2)/x^6-5/24*(x^3+1)^(1/2)/x^3","A"
446,1,139,109,0.018000," ","int(x^6/(x^3+1)^(1/2),x)","\frac{2 \sqrt{x^{3}+1}\, x^{4}}{11}-\frac{16 \sqrt{x^{3}+1}\, x}{55}+\frac{32 \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticF \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{55 \sqrt{x^{3}+1}}"," ",0,"2/11*x^4*(x^3+1)^(1/2)-16/55*x*(x^3+1)^(1/2)+32/55*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*EllipticF(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))","A"
447,1,127,97,0.019000," ","int(x^3/(x^3+1)^(1/2),x)","\frac{2 \sqrt{x^{3}+1}\, x}{5}-\frac{4 \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticF \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{5 \sqrt{x^{3}+1}}"," ",0,"2/5*(x^3+1)^(1/2)*x-4/5*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*EllipticF(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))","A"
448,1,116,86,0.020000," ","int(1/(x^3+1)^(1/2),x)","\frac{2 \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticF \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{\sqrt{x^{3}+1}}"," ",0,"2*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*EllipticF(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))","A"
449,1,129,99,0.021000," ","int(1/x^3/(x^3+1)^(1/2),x)","-\frac{\left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticF \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{2 \sqrt{x^{3}+1}}-\frac{\sqrt{x^{3}+1}}{2 x^{2}}"," ",0,"-1/2*(x^3+1)^(1/2)/x^2-1/2*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*EllipticF(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))","A"
450,1,141,111,0.022000," ","int(1/x^6/(x^3+1)^(1/2),x)","\frac{7 \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticF \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{20 \sqrt{x^{3}+1}}+\frac{7 \sqrt{x^{3}+1}}{20 x^{2}}-\frac{\sqrt{x^{3}+1}}{5 x^{5}}"," ",0,"-1/5*(x^3+1)^(1/2)/x^5+7/20*(x^3+1)^(1/2)/x^2+7/20*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*EllipticF(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))","A"
451,1,198,206,0.018000," ","int(x^7/(x^3+1)^(1/2),x)","\frac{2 \sqrt{x^{3}+1}\, x^{5}}{13}-\frac{20 \sqrt{x^{3}+1}\, x^{2}}{91}+\frac{80 \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \left(\left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)+\left(\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticF \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)\right)}{91 \sqrt{x^{3}+1}}"," ",0,"2/13*x^5*(x^3+1)^(1/2)-20/91*x^2*(x^3+1)^(1/2)+80/91*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*((-3/2-1/2*I*3^(1/2))*EllipticE(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))+(1/2+1/2*I*3^(1/2))*EllipticF(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)))","A"
452,1,186,194,0.018000," ","int(x^4/(x^3+1)^(1/2),x)","\frac{2 \sqrt{x^{3}+1}\, x^{2}}{7}-\frac{8 \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \left(\left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)+\left(\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticF \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)\right)}{7 \sqrt{x^{3}+1}}"," ",0,"2/7*(x^3+1)^(1/2)*x^2-8/7*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*((-3/2-1/2*I*3^(1/2))*EllipticE(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))+(1/2+1/2*I*3^(1/2))*EllipticF(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)))","A"
453,1,173,182,0.018000," ","int(x/(x^3+1)^(1/2),x)","\frac{2 \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \left(\left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)+\left(\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticF \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)\right)}{\sqrt{x^{3}+1}}"," ",0,"2*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*((-3/2-1/2*I*3^(1/2))*EllipticE(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))+(1/2+1/2*I*3^(1/2))*EllipticF(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)))","A"
454,1,185,193,0.020000," ","int(1/x^2/(x^3+1)^(1/2),x)","-\frac{\sqrt{x^{3}+1}}{x}+\frac{\left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \left(\left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)+\left(\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticF \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)\right)}{\sqrt{x^{3}+1}}"," ",0,"-(x^3+1)^(1/2)/x+(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*((-3/2-1/2*I*3^(1/2))*EllipticE(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))+(1/2+1/2*I*3^(1/2))*EllipticF(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)))","A"
455,1,198,206,0.022000," ","int(1/x^5/(x^3+1)^(1/2),x)","\frac{5 \sqrt{x^{3}+1}}{8 x}-\frac{\sqrt{x^{3}+1}}{4 x^{4}}-\frac{5 \left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}-\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x -\frac{1}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \left(\left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)+\left(\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticF \left(\sqrt{\frac{x +1}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)\right)}{8 \sqrt{x^{3}+1}}"," ",0,"-1/4*(x^3+1)^(1/2)/x^4+5/8*(x^3+1)^(1/2)/x-5/8*(3/2-1/2*I*3^(1/2))*((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2-1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x-1/2+1/2*I*3^(1/2))/(-3/2+1/2*I*3^(1/2)))^(1/2)/(x^3+1)^(1/2)*((-3/2-1/2*I*3^(1/2))*EllipticE(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2))+(1/2+1/2*I*3^(1/2))*EllipticF(((x+1)/(3/2-1/2*I*3^(1/2)))^(1/2),((-3/2+1/2*I*3^(1/2))/(-3/2-1/2*I*3^(1/2)))^(1/2)))","A"
456,1,38,45,0.007000," ","int(x^11/(-x^3+1)^(1/2),x)","\frac{2 \left(x -1\right) \left(x^{2}+x +1\right) \left(5 x^{9}+6 x^{6}+8 x^{3}+16\right)}{105 \sqrt{-x^{3}+1}}"," ",0,"2/105*(x-1)*(x^2+x+1)*(5*x^9+6*x^6+8*x^3+16)/(-x^3+1)^(1/2)","A"
457,1,33,34,0.007000," ","int(x^8/(-x^3+1)^(1/2),x)","\frac{2 \left(x -1\right) \left(x^{2}+x +1\right) \left(3 x^{6}+4 x^{3}+8\right)}{45 \sqrt{-x^{3}+1}}"," ",0,"2/45*(x-1)*(x^2+x+1)*(3*x^6+4*x^3+8)/(-x^3+1)^(1/2)","A"
458,1,26,23,0.005000," ","int(x^5/(-x^3+1)^(1/2),x)","\frac{2 \left(x -1\right) \left(x^{2}+x +1\right) \left(x^{3}+2\right)}{9 \sqrt{-x^{3}+1}}"," ",0,"2/9*(x-1)*(x^2+x+1)*(x^3+2)/(-x^3+1)^(1/2)","A"
459,1,21,11,0.006000," ","int(x^2/(-x^3+1)^(1/2),x)","\frac{2 \left(x -1\right) \left(x^{2}+x +1\right)}{3 \sqrt{-x^{3}+1}}"," ",0,"2/3*(x-1)*(x^2+x+1)/(-x^3+1)^(1/2)","A"
460,1,13,12,0.055000," ","int(1/x/(-x^3+1)^(1/2),x)","-\frac{2 \arctanh \left(\sqrt{-x^{3}+1}\right)}{3}"," ",0,"-2/3*arctanh((-x^3+1)^(1/2))","A"
461,1,28,27,0.027000," ","int(1/x^4/(-x^3+1)^(1/2),x)","-\frac{\arctanh \left(\sqrt{-x^{3}+1}\right)}{3}-\frac{\sqrt{-x^{3}+1}}{3 x^{3}}"," ",0,"-1/3*arctanh((-x^3+1)^(1/2))-1/3*(-x^3+1)^(1/2)/x^3","A"
462,1,42,41,0.028000," ","int(1/x^7/(-x^3+1)^(1/2),x)","-\frac{\arctanh \left(\sqrt{-x^{3}+1}\right)}{4}-\frac{\sqrt{-x^{3}+1}}{4 x^{3}}-\frac{\sqrt{-x^{3}+1}}{6 x^{6}}"," ",0,"-1/4*arctanh((-x^3+1)^(1/2))-1/6*(-x^3+1)^(1/2)/x^6-1/4*(-x^3+1)^(1/2)/x^3","A"
463,1,56,55,0.029000," ","int(1/x^10/(-x^3+1)^(1/2),x)","-\frac{5 \arctanh \left(\sqrt{-x^{3}+1}\right)}{24}-\frac{5 \sqrt{-x^{3}+1}}{24 x^{3}}-\frac{5 \sqrt{-x^{3}+1}}{36 x^{6}}-\frac{\sqrt{-x^{3}+1}}{9 x^{9}}"," ",0,"-5/24*arctanh((-x^3+1)^(1/2))-1/9*(-x^3+1)^(1/2)/x^9-5/36*(-x^3+1)^(1/2)/x^6-5/24*(-x^3+1)^(1/2)/x^3","A"
464,1,134,125,0.024000," ","int(x^6/(-x^3+1)^(1/2),x)","-\frac{2 \sqrt{-x^{3}+1}\, x^{4}}{11}-\frac{16 \sqrt{-x^{3}+1}\, x}{55}-\frac{32 i \sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x -1}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x +\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)}{165 \sqrt{-x^{3}+1}}"," ",0,"-2/11*x^4*(-x^3+1)^(1/2)-16/55*x*(-x^3+1)^(1/2)-32/165*I*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x-1)/(-3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x+1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3+1)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2))","A"
465,1,120,111,0.023000," ","int(x^3/(-x^3+1)^(1/2),x)","-\frac{2 \sqrt{-x^{3}+1}\, x}{5}-\frac{4 i \sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x -1}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x +\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)}{15 \sqrt{-x^{3}+1}}"," ",0,"-2/5*(-x^3+1)^(1/2)*x-4/15*I*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x-1)/(-3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x+1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3+1)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2))","A"
466,1,107,98,0.021000," ","int(1/(-x^3+1)^(1/2),x)","-\frac{2 i \sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x -1}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x +\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)}{3 \sqrt{-x^{3}+1}}"," ",0,"-2/3*I*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x-1)/(-3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x+1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3+1)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2))","A"
467,1,122,113,0.023000," ","int(1/x^3/(-x^3+1)^(1/2),x)","-\frac{i \sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x -1}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x +\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)}{6 \sqrt{-x^{3}+1}}-\frac{\sqrt{-x^{3}+1}}{2 x^{2}}"," ",0,"-1/2*(-x^3+1)^(1/2)/x^2-1/6*I*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x-1)/(-3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x+1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3+1)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2))","A"
468,1,136,127,0.027000," ","int(1/x^6/(-x^3+1)^(1/2),x)","-\frac{7 i \sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x -1}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x +\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)}{60 \sqrt{-x^{3}+1}}-\frac{7 \sqrt{-x^{3}+1}}{20 x^{2}}-\frac{\sqrt{-x^{3}+1}}{5 x^{5}}"," ",0,"-1/5*(-x^3+1)^(1/2)/x^5-7/20*(-x^3+1)^(1/2)/x^2-7/60*I*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x-1)/(-3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x+1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3+1)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2))","A"
469,1,187,238,0.024000," ","int(x^7/(-x^3+1)^(1/2),x)","-\frac{2 \sqrt{-x^{3}+1}\, x^{5}}{13}-\frac{20 \sqrt{-x^{3}+1}\, x^{2}}{91}-\frac{80 i \sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x -1}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x +\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \left(\left(-\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)+\EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)\right)}{273 \sqrt{-x^{3}+1}}"," ",0,"-2/13*x^5*(-x^3+1)^(1/2)-20/91*x^2*(-x^3+1)^(1/2)-80/273*I*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x-1)/(-3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x+1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3+1)^(1/2)*((-3/2+1/2*I*3^(1/2))*EllipticE(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2))+EllipticF(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2)))","A"
470,1,173,224,0.023000," ","int(x^4/(-x^3+1)^(1/2),x)","-\frac{2 \sqrt{-x^{3}+1}\, x^{2}}{7}-\frac{8 i \sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x -1}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x +\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \left(\left(-\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)+\EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)\right)}{21 \sqrt{-x^{3}+1}}"," ",0,"-2/7*(-x^3+1)^(1/2)*x^2-8/21*I*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x-1)/(-3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x+1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3+1)^(1/2)*((-3/2+1/2*I*3^(1/2))*EllipticE(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2))+EllipticF(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2)))","A"
471,1,158,210,0.022000," ","int(x/(-x^3+1)^(1/2),x)","-\frac{2 i \sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x -1}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x +\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \left(\left(-\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)+\EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)\right)}{3 \sqrt{-x^{3}+1}}"," ",0,"-2/3*I*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x-1)/(-3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x+1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3+1)^(1/2)*((-3/2+1/2*I*3^(1/2))*EllipticE(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2))+EllipticF(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2)))","A"
472,1,173,224,0.023000," ","int(1/x^2/(-x^3+1)^(1/2),x)","-\frac{\sqrt{-x^{3}+1}}{x}+\frac{i \sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x -1}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x +\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \left(\left(-\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)+\EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)\right)}{3 \sqrt{-x^{3}+1}}"," ",0,"-(-x^3+1)^(1/2)/x+1/3*I*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x-1)/(-3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x+1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3+1)^(1/2)*((-3/2+1/2*I*3^(1/2))*EllipticE(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2))+EllipticF(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2)))","A"
473,1,187,238,0.027000," ","int(1/x^5/(-x^3+1)^(1/2),x)","-\frac{5 \sqrt{-x^{3}+1}}{8 x}-\frac{\sqrt{-x^{3}+1}}{4 x^{4}}+\frac{5 i \sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x -1}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x +\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \left(\left(-\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)+\EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x +\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{-\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)\right)}{24 \sqrt{-x^{3}+1}}"," ",0,"-1/4*(-x^3+1)^(1/2)/x^4-5/8*(-x^3+1)^(1/2)/x+5/24*I*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x-1)/(-3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x+1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3+1)^(1/2)*((-3/2+1/2*I*3^(1/2))*EllipticE(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2))+EllipticF(1/3*3^(1/2)*(I*(x+1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(-3/2+1/2*I*3^(1/2)))^(1/2)))","A"
474,1,36,37,0.005000," ","int(x^11/(x^3-1)^(1/2),x)","\frac{2 \left(x -1\right) \left(x^{2}+x +1\right) \left(5 x^{9}+6 x^{6}+8 x^{3}+16\right)}{105 \sqrt{x^{3}-1}}"," ",0,"2/105*(x-1)*(x^2+x+1)*(5*x^9+6*x^6+8*x^3+16)/(x^3-1)^(1/2)","A"
475,1,31,28,0.004000," ","int(x^8/(x^3-1)^(1/2),x)","\frac{2 \left(x -1\right) \left(x^{2}+x +1\right) \left(3 x^{6}+4 x^{3}+8\right)}{45 \sqrt{x^{3}-1}}"," ",0,"2/45*(x-1)*(x^2+x+1)*(3*x^6+4*x^3+8)/(x^3-1)^(1/2)","A"
476,1,24,19,0.006000," ","int(x^5/(x^3-1)^(1/2),x)","\frac{2 \left(x -1\right) \left(x^{2}+x +1\right) \left(x^{3}+2\right)}{9 \sqrt{x^{3}-1}}"," ",0,"2/9*(x-1)*(x^2+x+1)*(x^3+2)/(x^3-1)^(1/2)","A"
477,1,19,9,0.004000," ","int(x^2/(x^3-1)^(1/2),x)","\frac{2 \left(x -1\right) \left(x^{2}+x +1\right)}{3 \sqrt{x^{3}-1}}"," ",0,"2/3*(x-1)*(x^2+x+1)/(x^3-1)^(1/2)","A"
478,1,11,10,0.099000," ","int(1/x/(x^3-1)^(1/2),x)","\frac{2 \arctan \left(\sqrt{x^{3}-1}\right)}{3}"," ",0,"2/3*arctan((x^3-1)^(1/2))","A"
479,1,24,23,0.022000," ","int(1/x^4/(x^3-1)^(1/2),x)","\frac{\arctan \left(\sqrt{x^{3}-1}\right)}{3}+\frac{\sqrt{x^{3}-1}}{3 x^{3}}"," ",0,"1/3*arctan((x^3-1)^(1/2))+1/3*(x^3-1)^(1/2)/x^3","A"
480,1,36,35,0.024000," ","int(1/x^7/(x^3-1)^(1/2),x)","\frac{\arctan \left(\sqrt{x^{3}-1}\right)}{4}+\frac{\sqrt{x^{3}-1}}{4 x^{3}}+\frac{\sqrt{x^{3}-1}}{6 x^{6}}"," ",0,"1/4*arctan((x^3-1)^(1/2))+1/6*(x^3-1)^(1/2)/x^6+1/4*(x^3-1)^(1/2)/x^3","A"
481,1,48,47,0.023000," ","int(1/x^10/(x^3-1)^(1/2),x)","\frac{5 \arctan \left(\sqrt{x^{3}-1}\right)}{24}+\frac{5 \sqrt{x^{3}-1}}{24 x^{3}}+\frac{5 \sqrt{x^{3}-1}}{36 x^{6}}+\frac{\sqrt{x^{3}-1}}{9 x^{9}}"," ",0,"5/24*arctan((x^3-1)^(1/2))+1/9*(x^3-1)^(1/2)/x^9+5/36*(x^3-1)^(1/2)/x^6+5/24*(x^3-1)^(1/2)/x^3","A"
482,1,139,121,0.019000," ","int(x^6/(x^3-1)^(1/2),x)","\frac{2 \sqrt{x^{3}-1}\, x^{4}}{11}+\frac{16 \sqrt{x^{3}-1}\, x}{55}+\frac{32 \left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticF \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{55 \sqrt{x^{3}-1}}"," ",0,"2/11*x^4*(x^3-1)^(1/2)+16/55*x*(x^3-1)^(1/2)+32/55*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*EllipticF(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))","A"
483,1,127,109,0.019000," ","int(x^3/(x^3-1)^(1/2),x)","\frac{2 \sqrt{x^{3}-1}\, x}{5}+\frac{4 \left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticF \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{5 \sqrt{x^{3}-1}}"," ",0,"2/5*(x^3-1)^(1/2)*x+4/5*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*EllipticF(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))","A"
484,1,116,98,0.015000," ","int(1/(x^3-1)^(1/2),x)","\frac{2 \left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticF \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{\sqrt{x^{3}-1}}"," ",0,"2*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*EllipticF(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))","A"
485,1,129,111,0.020000," ","int(1/x^3/(x^3-1)^(1/2),x)","\frac{\left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticF \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{2 \sqrt{x^{3}-1}}+\frac{\sqrt{x^{3}-1}}{2 x^{2}}"," ",0,"1/2*(x^3-1)^(1/2)/x^2+1/2*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*EllipticF(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))","A"
486,1,141,123,0.022000," ","int(1/x^6/(x^3-1)^(1/2),x)","\frac{7 \left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \EllipticF \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)}{20 \sqrt{x^{3}-1}}+\frac{7 \sqrt{x^{3}-1}}{20 x^{2}}+\frac{\sqrt{x^{3}-1}}{5 x^{5}}"," ",0,"1/5*(x^3-1)^(1/2)/x^5+7/20*(x^3-1)^(1/2)/x^2+7/20*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*EllipticF(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))","A"
487,1,198,234,0.018000," ","int(x^7/(x^3-1)^(1/2),x)","\frac{2 \sqrt{x^{3}-1}\, x^{5}}{13}+\frac{20 \sqrt{x^{3}-1}\, x^{2}}{91}+\frac{80 \left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \left(\left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)+\left(-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticF \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)\right)}{91 \sqrt{x^{3}-1}}"," ",0,"2/13*x^5*(x^3-1)^(1/2)+20/91*x^2*(x^3-1)^(1/2)+80/91*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*((3/2-1/2*I*3^(1/2))*EllipticE(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))+(-1/2+1/2*I*3^(1/2))*EllipticF(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)))","A"
488,1,186,222,0.020000," ","int(x^4/(x^3-1)^(1/2),x)","\frac{2 \sqrt{x^{3}-1}\, x^{2}}{7}+\frac{8 \left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \left(\left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)+\left(-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticF \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)\right)}{7 \sqrt{x^{3}-1}}"," ",0,"2/7*(x^3-1)^(1/2)*x^2+8/7*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*((3/2-1/2*I*3^(1/2))*EllipticE(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))+(-1/2+1/2*I*3^(1/2))*EllipticF(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)))","A"
489,1,173,209,0.017000," ","int(x/(x^3-1)^(1/2),x)","\frac{2 \left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \left(\left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)+\left(-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticF \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)\right)}{\sqrt{x^{3}-1}}"," ",0,"2*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*((3/2-1/2*I*3^(1/2))*EllipticE(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))+(-1/2+1/2*I*3^(1/2))*EllipticF(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)))","A"
490,1,185,220,0.022000," ","int(1/x^2/(x^3-1)^(1/2),x)","\frac{\sqrt{x^{3}-1}}{x}-\frac{\left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \left(\left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)+\left(-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticF \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)\right)}{\sqrt{x^{3}-1}}"," ",0,"(x^3-1)^(1/2)/x-(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*((3/2-1/2*I*3^(1/2))*EllipticE(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))+(-1/2+1/2*I*3^(1/2))*EllipticF(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)))","A"
491,1,198,234,0.022000," ","int(1/x^5/(x^3-1)^(1/2),x)","\frac{5 \sqrt{x^{3}-1}}{8 x}+\frac{\sqrt{x^{3}-1}}{4 x^{4}}-\frac{5 \left(-\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}-\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\, \sqrt{\frac{x +\frac{1}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \left(\left(\frac{3}{2}-\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)+\left(-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticF \left(\sqrt{\frac{x -1}{-\frac{3}{2}-\frac{i \sqrt{3}}{2}}}, \sqrt{\frac{\frac{3}{2}+\frac{i \sqrt{3}}{2}}{\frac{3}{2}-\frac{i \sqrt{3}}{2}}}\right)\right)}{8 \sqrt{x^{3}-1}}"," ",0,"1/4*(x^3-1)^(1/2)/x^4+5/8*(x^3-1)^(1/2)/x-5/8*(-3/2-1/2*I*3^(1/2))*((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2-1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)*((x+1/2+1/2*I*3^(1/2))/(3/2+1/2*I*3^(1/2)))^(1/2)/(x^3-1)^(1/2)*((3/2-1/2*I*3^(1/2))*EllipticE(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2))+(-1/2+1/2*I*3^(1/2))*EllipticF(((x-1)/(-3/2-1/2*I*3^(1/2)))^(1/2),((3/2+1/2*I*3^(1/2))/(3/2-1/2*I*3^(1/2)))^(1/2)))","A"
492,1,40,45,0.006000," ","int(x^11/(-x^3-1)^(1/2),x)","\frac{2 \left(x +1\right) \left(x^{2}-x +1\right) \left(5 x^{9}-6 x^{6}+8 x^{3}-16\right)}{105 \sqrt{-x^{3}-1}}"," ",0,"2/105*(x+1)*(x^2-x+1)*(5*x^9-6*x^6+8*x^3-16)/(-x^3-1)^(1/2)","A"
493,1,35,34,0.005000," ","int(x^8/(-x^3-1)^(1/2),x)","\frac{2 \left(x +1\right) \left(x^{2}-x +1\right) \left(3 x^{6}-4 x^{3}+8\right)}{45 \sqrt{-x^{3}-1}}"," ",0,"2/45*(x+1)*(x^2-x+1)*(3*x^6-4*x^3+8)/(-x^3-1)^(1/2)","A"
494,1,28,23,0.006000," ","int(x^5/(-x^3-1)^(1/2),x)","\frac{2 \left(x +1\right) \left(x^{2}-x +1\right) \left(x^{3}-2\right)}{9 \sqrt{-x^{3}-1}}"," ",0,"2/9*(x+1)*(x^2-x+1)*(x^3-2)/(-x^3-1)^(1/2)","A"
495,1,23,11,0.006000," ","int(x^2/(-x^3-1)^(1/2),x)","\frac{2 \left(x +1\right) \left(x^{2}-x +1\right)}{3 \sqrt{-x^{3}-1}}"," ",0,"2/3*(x+1)*(x^2-x+1)/(-x^3-1)^(1/2)","A"
496,1,13,12,0.026000," ","int(1/x/(-x^3-1)^(1/2),x)","\frac{2 \arctan \left(\sqrt{-x^{3}-1}\right)}{3}"," ",0,"2/3*arctan((-x^3-1)^(1/2))","A"
497,1,28,27,0.026000," ","int(1/x^4/(-x^3-1)^(1/2),x)","-\frac{\arctan \left(\sqrt{-x^{3}-1}\right)}{3}+\frac{\sqrt{-x^{3}-1}}{3 x^{3}}"," ",0,"-1/3*arctan((-x^3-1)^(1/2))+1/3*(-x^3-1)^(1/2)/x^3","A"
498,1,42,41,0.029000," ","int(1/x^7/(-x^3-1)^(1/2),x)","\frac{\arctan \left(\sqrt{-x^{3}-1}\right)}{4}-\frac{\sqrt{-x^{3}-1}}{4 x^{3}}+\frac{\sqrt{-x^{3}-1}}{6 x^{6}}"," ",0,"1/4*arctan((-x^3-1)^(1/2))+1/6*(-x^3-1)^(1/2)/x^6-1/4*(-x^3-1)^(1/2)/x^3","A"
499,1,56,55,0.027000," ","int(1/x^10/(-x^3-1)^(1/2),x)","-\frac{5 \arctan \left(\sqrt{-x^{3}-1}\right)}{24}+\frac{5 \sqrt{-x^{3}-1}}{24 x^{3}}-\frac{5 \sqrt{-x^{3}-1}}{36 x^{6}}+\frac{\sqrt{-x^{3}-1}}{9 x^{9}}"," ",0,"-5/24*arctan((-x^3-1)^(1/2))+1/9*(-x^3-1)^(1/2)/x^9-5/36*(-x^3-1)^(1/2)/x^6+5/24*(-x^3-1)^(1/2)/x^3","A"
500,1,134,121,0.022000," ","int(x^6/(-x^3-1)^(1/2),x)","-\frac{2 \sqrt{-x^{3}-1}\, x^{4}}{11}+\frac{16 \sqrt{-x^{3}-1}\, x}{55}-\frac{32 i \sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x +1}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x -\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)}{165 \sqrt{-x^{3}-1}}"," ",0,"-2/11*x^4*(-x^3-1)^(1/2)+16/55*x*(-x^3-1)^(1/2)-32/165*I*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x+1)/(3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x-1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3-1)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2))","A"
501,1,120,107,0.023000," ","int(x^3/(-x^3-1)^(1/2),x)","-\frac{2 \sqrt{-x^{3}-1}\, x}{5}+\frac{4 i \sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x +1}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x -\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)}{15 \sqrt{-x^{3}-1}}"," ",0,"-2/5*(-x^3-1)^(1/2)*x+4/15*I*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x+1)/(3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x-1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3-1)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2))","A"
502,1,107,94,0.022000," ","int(1/(-x^3-1)^(1/2),x)","-\frac{2 i \sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x +1}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x -\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)}{3 \sqrt{-x^{3}-1}}"," ",0,"-2/3*I*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x+1)/(3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x-1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3-1)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2))","A"
503,1,122,109,0.025000," ","int(1/x^3/(-x^3-1)^(1/2),x)","\frac{i \sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x +1}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x -\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)}{6 \sqrt{-x^{3}-1}}+\frac{\sqrt{-x^{3}-1}}{2 x^{2}}"," ",0,"1/2*(-x^3-1)^(1/2)/x^2+1/6*I*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x+1)/(3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x-1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3-1)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2))","A"
504,1,136,123,0.027000," ","int(1/x^6/(-x^3-1)^(1/2),x)","-\frac{7 i \sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x +1}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x -\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)}{60 \sqrt{-x^{3}-1}}-\frac{7 \sqrt{-x^{3}-1}}{20 x^{2}}+\frac{\sqrt{-x^{3}-1}}{5 x^{5}}"," ",0,"1/5*(-x^3-1)^(1/2)/x^5-7/20*(-x^3-1)^(1/2)/x^2-7/60*I*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x+1)/(3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x-1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3-1)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2))","A"
505,1,189,230,0.025000," ","int(x^7/(-x^3-1)^(1/2),x)","-\frac{2 \sqrt{-x^{3}-1}\, x^{5}}{13}+\frac{20 \sqrt{-x^{3}-1}\, x^{2}}{91}-\frac{80 i \sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x +1}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x -\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \left(\left(\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)-\EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)\right)}{273 \sqrt{-x^{3}-1}}"," ",0,"-2/13*x^5*(-x^3-1)^(1/2)+20/91*x^2*(-x^3-1)^(1/2)-80/273*I*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x+1)/(3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x-1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3-1)^(1/2)*((3/2+1/2*I*3^(1/2))*EllipticE(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2))-EllipticF(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2)))","A"
506,1,175,216,0.023000," ","int(x^4/(-x^3-1)^(1/2),x)","-\frac{2 \sqrt{-x^{3}-1}\, x^{2}}{7}+\frac{8 i \sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x +1}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x -\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \left(\left(\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)-\EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)\right)}{21 \sqrt{-x^{3}-1}}"," ",0,"-2/7*(-x^3-1)^(1/2)*x^2+8/21*I*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x+1)/(3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x-1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3-1)^(1/2)*((3/2+1/2*I*3^(1/2))*EllipticE(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2))-EllipticF(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2)))","A"
507,1,160,201,0.020000," ","int(x/(-x^3-1)^(1/2),x)","-\frac{2 i \sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x +1}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x -\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \left(\left(\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)-\EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)\right)}{3 \sqrt{-x^{3}-1}}"," ",0,"-2/3*I*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x+1)/(3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x-1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3-1)^(1/2)*((3/2+1/2*I*3^(1/2))*EllipticE(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2))-EllipticF(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2)))","A"
508,1,174,215,0.024000," ","int(1/x^2/(-x^3-1)^(1/2),x)","\frac{\sqrt{-x^{3}-1}}{x}-\frac{i \sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x +1}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x -\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \left(\left(\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)-\EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)\right)}{3 \sqrt{-x^{3}-1}}"," ",0,"(-x^3-1)^(1/2)/x-1/3*I*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x+1)/(3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x-1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3-1)^(1/2)*((3/2+1/2*I*3^(1/2))*EllipticE(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2))-EllipticF(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2)))","A"
509,1,189,230,0.027000," ","int(1/x^5/(-x^3-1)^(1/2),x)","-\frac{5 \sqrt{-x^{3}-1}}{8 x}+\frac{\sqrt{-x^{3}-1}}{4 x^{4}}+\frac{5 i \sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \sqrt{\frac{x +1}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\, \sqrt{-i \left(x -\frac{1}{2}+\frac{i \sqrt{3}}{2}\right) \sqrt{3}}\, \left(\left(\frac{3}{2}+\frac{i \sqrt{3}}{2}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)-\EllipticF \left(\frac{\sqrt{3}\, \sqrt{i \left(x -\frac{1}{2}-\frac{i \sqrt{3}}{2}\right) \sqrt{3}}}{3}, \sqrt{\frac{i \sqrt{3}}{\frac{3}{2}+\frac{i \sqrt{3}}{2}}}\right)\right)}{24 \sqrt{-x^{3}-1}}"," ",0,"1/4*(-x^3-1)^(1/2)/x^4-5/8*(-x^3-1)^(1/2)/x+5/24*I*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2)*((x+1)/(3/2+1/2*I*3^(1/2)))^(1/2)*(-I*(x-1/2+1/2*I*3^(1/2))*3^(1/2))^(1/2)/(-x^3-1)^(1/2)*((3/2+1/2*I*3^(1/2))*EllipticE(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2))-EllipticF(1/3*3^(1/2)*(I*(x-1/2-1/2*I*3^(1/2))*3^(1/2))^(1/2),(I*3^(1/2)/(3/2+1/2*I*3^(1/2)))^(1/2)))","A"
510,1,47,64,0.007000," ","int(x^11*(b*x^3+a)^(1/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{4}{3}} \left(-140 b^{3} x^{9}+126 a \,b^{2} x^{6}-108 a^{2} b \,x^{3}+81 a^{3}\right)}{1820 b^{4}}"," ",0,"-1/1820*(b*x^3+a)^(4/3)*(-140*b^3*x^9+126*a*b^2*x^6-108*a^2*b*x^3+81*a^3)/b^4","A"
511,1,36,47,0.007000," ","int(x^8*(b*x^3+a)^(1/3),x)","\frac{\left(b \,x^{3}+a \right)^{\frac{4}{3}} \left(14 b^{2} x^{6}-12 a b \,x^{3}+9 a^{2}\right)}{140 b^{3}}"," ",0,"1/140*(b*x^3+a)^(4/3)*(14*b^2*x^6-12*a*b*x^3+9*a^2)/b^3","A"
512,1,25,30,0.006000," ","int(x^5*(b*x^3+a)^(1/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{4}{3}} \left(-4 b \,x^{3}+3 a \right)}{28 b^{2}}"," ",0,"-1/28*(b*x^3+a)^(4/3)*(-4*b*x^3+3*a)/b^2","A"
513,1,15,14,0.004000," ","int(x^2*(b*x^3+a)^(1/3),x)","\frac{\left(b \,x^{3}+a \right)^{\frac{4}{3}}}{4 b}"," ",0,"1/4*(b*x^3+a)^(4/3)/b","A"
514,0,0,70,0.126000," ","int((b*x^3+a)^(1/3)/x,x)","\int \frac{\left(b \,x^{3}+a \right)^{\frac{1}{3}}}{x}\, dx"," ",0,"int((b*x^3+a)^(1/3)/x,x)","F"
515,0,0,78,0.145000," ","int((b*x^3+a)^(1/3)/x^4,x)","\int \frac{\left(b \,x^{3}+a \right)^{\frac{1}{3}}}{x^{4}}\, dx"," ",0,"int((b*x^3+a)^(1/3)/x^4,x)","F"
516,0,0,93,0.123000," ","int(x^4*(b*x^3+a)^(1/3),x)","\int \left(b \,x^{3}+a \right)^{\frac{1}{3}} x^{4}\, dx"," ",0,"int(x^4*(b*x^3+a)^(1/3),x)","F"
517,0,0,71,0.110000," ","int(x*(b*x^3+a)^(1/3),x)","\int \left(b \,x^{3}+a \right)^{\frac{1}{3}} x\, dx"," ",0,"int(x*(b*x^3+a)^(1/3),x)","F"
518,0,0,69,0.128000," ","int((b*x^3+a)^(1/3)/x^2,x)","\int \frac{\left(b \,x^{3}+a \right)^{\frac{1}{3}}}{x^{2}}\, dx"," ",0,"int((b*x^3+a)^(1/3)/x^2,x)","F"
519,1,18,17,0.004000," ","int((b*x^3+a)^(1/3)/x^5,x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{4}{3}}}{4 a \,x^{4}}"," ",0,"-1/4*(b*x^3+a)^(4/3)/a/x^4","A"
520,1,28,36,0.006000," ","int((b*x^3+a)^(1/3)/x^8,x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{4}{3}} \left(-3 b \,x^{3}+4 a \right)}{28 a^{2} x^{7}}"," ",0,"-1/28*(b*x^3+a)^(4/3)*(-3*b*x^3+4*a)/a^2/x^7","A"
521,1,39,56,0.006000," ","int((b*x^3+a)^(1/3)/x^11,x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{4}{3}} \left(9 b^{2} x^{6}-12 a b \,x^{3}+14 a^{2}\right)}{140 a^{3} x^{10}}"," ",0,"-1/140*(b*x^3+a)^(4/3)*(9*b^2*x^6-12*a*b*x^3+14*a^2)/x^10/a^3","A"
522,1,50,76,0.006000," ","int((b*x^3+a)^(1/3)/x^14,x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{4}{3}} \left(-81 b^{3} x^{9}+108 a \,b^{2} x^{6}-126 a^{2} b \,x^{3}+140 a^{3}\right)}{1820 a^{4} x^{13}}"," ",0,"-1/1820*(b*x^3+a)^(4/3)*(-81*b^3*x^9+108*a*b^2*x^6-126*a^2*b*x^3+140*a^3)/x^13/a^4","A"
523,0,0,32,0.114000," ","int(x^3*(b*x^3+a)^(1/3),x)","\int \left(b \,x^{3}+a \right)^{\frac{1}{3}} x^{3}\, dx"," ",0,"int(x^3*(b*x^3+a)^(1/3),x)","F"
524,0,0,29,0.134000," ","int((b*x^3+a)^(1/3),x)","\int \left(b \,x^{3}+a \right)^{\frac{1}{3}}\, dx"," ",0,"int((b*x^3+a)^(1/3),x)","F"
525,0,0,32,0.109000," ","int((b*x^3+a)^(1/3)/x^3,x)","\int \frac{\left(b \,x^{3}+a \right)^{\frac{1}{3}}}{x^{3}}\, dx"," ",0,"int((b*x^3+a)^(1/3)/x^3,x)","F"
526,0,0,32,0.120000," ","int((b*x^3+a)^(1/3)/x^6,x)","\int \frac{\left(b \,x^{3}+a \right)^{\frac{1}{3}}}{x^{6}}\, dx"," ",0,"int((b*x^3+a)^(1/3)/x^6,x)","F"
527,1,47,64,0.007000," ","int(x^11*(b*x^3+a)^(2/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{5}{3}} \left(-220 b^{3} x^{9}+180 a \,b^{2} x^{6}-135 a^{2} b \,x^{3}+81 a^{3}\right)}{3080 b^{4}}"," ",0,"-1/3080*(b*x^3+a)^(5/3)*(-220*b^3*x^9+180*a*b^2*x^6-135*a^2*b*x^3+81*a^3)/b^4","A"
528,1,36,47,0.006000," ","int(x^8*(b*x^3+a)^(2/3),x)","\frac{\left(b \,x^{3}+a \right)^{\frac{5}{3}} \left(20 b^{2} x^{6}-15 a b \,x^{3}+9 a^{2}\right)}{220 b^{3}}"," ",0,"1/220*(b*x^3+a)^(5/3)*(20*b^2*x^6-15*a*b*x^3+9*a^2)/b^3","A"
529,1,25,30,0.005000," ","int(x^5*(b*x^3+a)^(2/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{5}{3}} \left(-5 b \,x^{3}+3 a \right)}{40 b^{2}}"," ",0,"-1/40*(b*x^3+a)^(5/3)*(-5*b*x^3+3*a)/b^2","A"
530,1,15,14,0.006000," ","int(x^2*(b*x^3+a)^(2/3),x)","\frac{\left(b \,x^{3}+a \right)^{\frac{5}{3}}}{5 b}"," ",0,"1/5*(b*x^3+a)^(5/3)/b","A"
531,0,0,72,0.115000," ","int((b*x^3+a)^(2/3)/x,x)","\int \frac{\left(b \,x^{3}+a \right)^{\frac{2}{3}}}{x}\, dx"," ",0,"int((b*x^3+a)^(2/3)/x,x)","F"
532,0,0,78,0.115000," ","int((b*x^3+a)^(2/3)/x^4,x)","\int \frac{\left(b \,x^{3}+a \right)^{\frac{2}{3}}}{x^{4}}\, dx"," ",0,"int((b*x^3+a)^(2/3)/x^4,x)","F"
533,0,0,32,0.122000," ","int(x^4*(b*x^3+a)^(2/3),x)","\int \left(b \,x^{3}+a \right)^{\frac{2}{3}} x^{4}\, dx"," ",0,"int(x^4*(b*x^3+a)^(2/3),x)","F"
534,0,0,32,0.114000," ","int(x*(b*x^3+a)^(2/3),x)","\int \left(b \,x^{3}+a \right)^{\frac{2}{3}} x\, dx"," ",0,"int(x*(b*x^3+a)^(2/3),x)","F"
535,0,0,32,0.114000," ","int((b*x^3+a)^(2/3)/x^2,x)","\int \frac{\left(b \,x^{3}+a \right)^{\frac{2}{3}}}{x^{2}}\, dx"," ",0,"int((b*x^3+a)^(2/3)/x^2,x)","F"
536,0,0,32,0.116000," ","int((b*x^3+a)^(2/3)/x^5,x)","\int \frac{\left(b \,x^{3}+a \right)^{\frac{2}{3}}}{x^{5}}\, dx"," ",0,"int((b*x^3+a)^(2/3)/x^5,x)","F"
537,0,0,90,0.113000," ","int(x^3*(b*x^3+a)^(2/3),x)","\int \left(b \,x^{3}+a \right)^{\frac{2}{3}} x^{3}\, dx"," ",0,"int(x^3*(b*x^3+a)^(2/3),x)","F"
538,0,0,68,0.131000," ","int((b*x^3+a)^(2/3),x)","\int \left(b \,x^{3}+a \right)^{\frac{2}{3}}\, dx"," ",0,"int((b*x^3+a)^(2/3),x)","F"
539,0,0,68,0.112000," ","int((b*x^3+a)^(2/3)/x^3,x)","\int \frac{\left(b \,x^{3}+a \right)^{\frac{2}{3}}}{x^{3}}\, dx"," ",0,"int((b*x^3+a)^(2/3)/x^3,x)","F"
540,1,18,17,0.005000," ","int((b*x^3+a)^(2/3)/x^6,x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{5}{3}}}{5 a \,x^{5}}"," ",0,"-1/5*(b*x^3+a)^(5/3)/a/x^5","A"
541,1,28,36,0.005000," ","int((b*x^3+a)^(2/3)/x^9,x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{5}{3}} \left(-3 b \,x^{3}+5 a \right)}{40 a^{2} x^{8}}"," ",0,"-1/40*(b*x^3+a)^(5/3)*(-3*b*x^3+5*a)/x^8/a^2","A"
542,1,39,56,0.007000," ","int((b*x^3+a)^(2/3)/x^12,x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{5}{3}} \left(9 b^{2} x^{6}-15 a b \,x^{3}+20 a^{2}\right)}{220 a^{3} x^{11}}"," ",0,"-1/220*(b*x^3+a)^(5/3)*(9*b^2*x^6-15*a*b*x^3+20*a^2)/x^11/a^3","A"
543,1,33,34,0.006000," ","int(x^8*(-x^3+1)^(6/5),x)","\frac{5 \left(x -1\right) \left(x^{2}+x +1\right) \left(88 x^{6}+55 x^{3}+25\right) \left(-x^{3}+1\right)^{\frac{6}{5}}}{5544}"," ",0,"5/5544*(x-1)*(x^2+x+1)*(88*x^6+55*x^3+25)*(-x^3+1)^(6/5)","A"
544,1,47,64,0.007000," ","int(x^11/(b*x^3+a)^(1/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{2}{3}} \left(-40 b^{3} x^{9}+45 a \,b^{2} x^{6}-54 a^{2} b \,x^{3}+81 a^{3}\right)}{440 b^{4}}"," ",0,"-1/440*(b*x^3+a)^(2/3)*(-40*b^3*x^9+45*a*b^2*x^6-54*a^2*b*x^3+81*a^3)/b^4","A"
545,1,36,47,0.006000," ","int(x^8/(b*x^3+a)^(1/3),x)","\frac{\left(b \,x^{3}+a \right)^{\frac{2}{3}} \left(5 b^{2} x^{6}-6 a b \,x^{3}+9 a^{2}\right)}{40 b^{3}}"," ",0,"1/40*(b*x^3+a)^(2/3)*(5*b^2*x^6-6*a*b*x^3+9*a^2)/b^3","A"
546,1,25,30,0.006000," ","int(x^5/(b*x^3+a)^(1/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{2}{3}} \left(-2 b \,x^{3}+3 a \right)}{10 b^{2}}"," ",0,"-1/10*(b*x^3+a)^(2/3)*(-2*b*x^3+3*a)/b^2","A"
547,1,15,14,0.005000," ","int(x^2/(b*x^3+a)^(1/3),x)","\frac{\left(b \,x^{3}+a \right)^{\frac{2}{3}}}{2 b}"," ",0,"1/2*(b*x^3+a)^(2/3)/b","A"
548,0,0,61,0.115000," ","int(1/x/(b*x^3+a)^(1/3),x)","\int \frac{1}{\left(b \,x^{3}+a \right)^{\frac{1}{3}} x}\, dx"," ",0,"int(1/x/(b*x^3+a)^(1/3),x)","F"
549,0,0,81,0.114000," ","int(1/x^4/(b*x^3+a)^(1/3),x)","\int \frac{1}{\left(b \,x^{3}+a \right)^{\frac{1}{3}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x^3+a)^(1/3),x)","F"
550,0,0,32,0.115000," ","int(x^7/(b*x^3+a)^(1/3),x)","\int \frac{x^{7}}{\left(b \,x^{3}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(x^7/(b*x^3+a)^(1/3),x)","F"
551,0,0,32,0.123000," ","int(x^4/(b*x^3+a)^(1/3),x)","\int \frac{x^{4}}{\left(b \,x^{3}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(x^4/(b*x^3+a)^(1/3),x)","F"
552,0,0,32,0.118000," ","int(x/(b*x^3+a)^(1/3),x)","\int \frac{x}{\left(b \,x^{3}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(x/(b*x^3+a)^(1/3),x)","F"
553,0,0,32,0.112000," ","int(1/x^2/(b*x^3+a)^(1/3),x)","\int \frac{1}{\left(b \,x^{3}+a \right)^{\frac{1}{3}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^3+a)^(1/3),x)","F"
554,0,0,32,0.112000," ","int(1/x^5/(b*x^3+a)^(1/3),x)","\int \frac{1}{\left(b \,x^{3}+a \right)^{\frac{1}{3}} x^{5}}\, dx"," ",0,"int(1/x^5/(b*x^3+a)^(1/3),x)","F"
555,0,0,71,0.110000," ","int(x^3/(b*x^3+a)^(1/3),x)","\int \frac{x^{3}}{\left(b \,x^{3}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(x^3/(b*x^3+a)^(1/3),x)","F"
556,0,0,54,0.125000," ","int(1/(b*x^3+a)^(1/3),x)","\int \frac{1}{\left(b \,x^{3}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(b*x^3+a)^(1/3),x)","F"
557,1,18,17,0.005000," ","int(1/x^3/(b*x^3+a)^(1/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{2}{3}}}{2 a \,x^{2}}"," ",0,"-1/2*(b*x^3+a)^(2/3)/a/x^2","A"
558,1,28,36,0.005000," ","int(1/x^6/(b*x^3+a)^(1/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{2}{3}} \left(-3 b \,x^{3}+2 a \right)}{10 a^{2} x^{5}}"," ",0,"-1/10*(b*x^3+a)^(2/3)*(-3*b*x^3+2*a)/a^2/x^5","A"
559,1,39,56,0.006000," ","int(1/x^9/(b*x^3+a)^(1/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{2}{3}} \left(9 b^{2} x^{6}-6 a b \,x^{3}+5 a^{2}\right)}{40 a^{3} x^{8}}"," ",0,"-1/40*(b*x^3+a)^(2/3)*(9*b^2*x^6-6*a*b*x^3+5*a^2)/x^8/a^3","A"
560,1,50,76,0.006000," ","int(1/x^12/(b*x^3+a)^(1/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{2}{3}} \left(-81 b^{3} x^{9}+54 a \,b^{2} x^{6}-45 a^{2} b \,x^{3}+40 a^{3}\right)}{440 a^{4} x^{11}}"," ",0,"-1/440*(b*x^3+a)^(2/3)*(-81*b^3*x^9+54*a*b^2*x^6-45*a^2*b*x^3+40*a^3)/x^11/a^4","A"
561,1,47,64,0.007000," ","int(x^11/(b*x^3+a)^(2/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{1}{3}} \left(-14 b^{3} x^{9}+18 a \,b^{2} x^{6}-27 a^{2} b \,x^{3}+81 a^{3}\right)}{140 b^{4}}"," ",0,"-1/140*(b*x^3+a)^(1/3)*(-14*b^3*x^9+18*a*b^2*x^6-27*a^2*b*x^3+81*a^3)/b^4","A"
562,1,36,46,0.007000," ","int(x^8/(b*x^3+a)^(2/3),x)","\frac{\left(b \,x^{3}+a \right)^{\frac{1}{3}} \left(2 b^{2} x^{6}-3 a b \,x^{3}+9 a^{2}\right)}{14 b^{3}}"," ",0,"1/14*(b*x^3+a)^(1/3)*(2*b^2*x^6-3*a*b*x^3+9*a^2)/b^3","A"
563,1,25,30,0.005000," ","int(x^5/(b*x^3+a)^(2/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{1}{3}} \left(-b \,x^{3}+3 a \right)}{4 b^{2}}"," ",0,"-1/4*(b*x^3+a)^(1/3)*(-b*x^3+3*a)/b^2","A"
564,1,14,13,0.004000," ","int(x^2/(b*x^3+a)^(2/3),x)","\frac{\left(b \,x^{3}+a \right)^{\frac{1}{3}}}{b}"," ",0,"(b*x^3+a)^(1/3)/b","A"
565,0,0,61,0.112000," ","int(1/x/(b*x^3+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{3}+a \right)^{\frac{2}{3}} x}\, dx"," ",0,"int(1/x/(b*x^3+a)^(2/3),x)","F"
566,0,0,81,0.125000," ","int(1/x^4/(b*x^3+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{3}+a \right)^{\frac{2}{3}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x^3+a)^(2/3),x)","F"
567,0,0,96,0.115000," ","int(x^7/(b*x^3+a)^(2/3),x)","\int \frac{x^{7}}{\left(b \,x^{3}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(x^7/(b*x^3+a)^(2/3),x)","F"
568,0,0,74,0.114000," ","int(x^4/(b*x^3+a)^(2/3),x)","\int \frac{x^{4}}{\left(b \,x^{3}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(x^4/(b*x^3+a)^(2/3),x)","F"
569,0,0,55,0.112000," ","int(x/(b*x^3+a)^(2/3),x)","\int \frac{x}{\left(b \,x^{3}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(x/(b*x^3+a)^(2/3),x)","F"
570,1,18,17,0.005000," ","int(1/x^2/(b*x^3+a)^(2/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{1}{3}}}{a x}"," ",0,"-(b*x^3+a)^(1/3)/a/x","A"
571,1,26,36,0.005000," ","int(1/x^5/(b*x^3+a)^(2/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{1}{3}} \left(-3 b \,x^{3}+a \right)}{4 a^{2} x^{4}}"," ",0,"-1/4*(b*x^3+a)^(1/3)*(-3*b*x^3+a)/a^2/x^4","A"
572,1,39,56,0.003000," ","int(1/x^8/(b*x^3+a)^(2/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{1}{3}} \left(9 b^{2} x^{6}-3 a b \,x^{3}+2 a^{2}\right)}{14 a^{3} x^{7}}"," ",0,"-1/14*(b*x^3+a)^(1/3)*(9*b^2*x^6-3*a*b*x^3+2*a^2)/a^3/x^7","A"
573,1,50,76,0.006000," ","int(1/x^11/(b*x^3+a)^(2/3),x)","-\frac{\left(b \,x^{3}+a \right)^{\frac{1}{3}} \left(-81 b^{3} x^{9}+27 a \,b^{2} x^{6}-18 a^{2} b \,x^{3}+14 a^{3}\right)}{140 a^{4} x^{10}}"," ",0,"-1/140*(b*x^3+a)^(1/3)*(-81*b^3*x^9+27*a*b^2*x^6-18*a^2*b*x^3+14*a^3)/x^10/a^4","A"
574,0,0,32,0.115000," ","int(x^6/(b*x^3+a)^(2/3),x)","\int \frac{x^{6}}{\left(b \,x^{3}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(x^6/(b*x^3+a)^(2/3),x)","F"
575,0,0,32,0.116000," ","int(x^3/(b*x^3+a)^(2/3),x)","\int \frac{x^{3}}{\left(b \,x^{3}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(x^3/(b*x^3+a)^(2/3),x)","F"
576,0,0,29,0.135000," ","int(1/(b*x^3+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{3}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*x^3+a)^(2/3),x)","F"
577,0,0,32,0.132000," ","int(1/x^3/(b*x^3+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{3}+a \right)^{\frac{2}{3}} x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^3+a)^(2/3),x)","F"
578,0,0,32,0.115000," ","int(1/x^6/(b*x^3+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{3}+a \right)^{\frac{2}{3}} x^{6}}\, dx"," ",0,"int(1/x^6/(b*x^3+a)^(2/3),x)","F"
579,0,0,55,0.145000," ","int(1/(-b*x^3+a)^(1/3),x)","\int \frac{1}{\left(-b \,x^{3}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(-b*x^3+a)^(1/3),x)","F"
580,1,18,38,0.155000," ","int(1/(x^3+2)^(1/3),x)","\frac{2^{\frac{2}{3}} x \hypergeom \left(\left[\frac{1}{3}, \frac{1}{3}\right], \left[\frac{4}{3}\right], -\frac{x^{3}}{2}\right)}{2}"," ",0,"1/2*2^(2/3)*x*hypergeom([1/3,1/3],[4/3],-1/2*x^3)","C"
581,1,15,44,0.113000," ","int(x/(-x^3+1)^(2/3),x)","\frac{x^{2} \hypergeom \left(\left[\frac{2}{3}, \frac{2}{3}\right], \left[\frac{5}{3}\right], x^{3}\right)}{2}"," ",0,"1/2*x^2*hypergeom([2/3,2/3],[5/3],x^3)","C"
582,1,10,9,0.004000," ","int(x^2/(x^3+2)^(1/4),x)","\frac{4 \left(x^{3}+2\right)^{\frac{3}{4}}}{9}"," ",0,"4/9*(x^3+2)^(3/4)","A"
583,1,1023,151,0.011000," ","int(x^m*(b*x^3+a)^8,x)","\frac{\left(b^{8} m^{8} x^{24}+92 b^{8} m^{7} x^{24}+3514 b^{8} m^{6} x^{24}+8 a \,b^{7} m^{8} x^{21}+72128 b^{8} m^{5} x^{24}+760 a \,b^{7} m^{7} x^{21}+859369 b^{8} m^{4} x^{24}+29792 a \,b^{7} m^{6} x^{21}+5974388 b^{8} m^{3} x^{24}+28 a^{2} b^{6} m^{8} x^{18}+624400 a \,b^{7} m^{5} x^{21}+22963996 b^{8} m^{2} x^{24}+2744 a^{2} b^{6} m^{7} x^{18}+7563752 a \,b^{7} m^{4} x^{21}+42124592 b^{8} m \,x^{24}+110656 a^{2} b^{6} m^{6} x^{18}+53266360 a \,b^{7} m^{3} x^{21}+24344320 b^{8} x^{24}+56 a^{3} b^{5} m^{8} x^{15}+2376920 a^{2} b^{6} m^{5} x^{18}+206729648 a \,b^{7} m^{2} x^{21}+5656 a^{3} b^{5} m^{7} x^{15}+29390452 a^{2} b^{6} m^{4} x^{18}+381743680 a \,b^{7} m \,x^{21}+235088 a^{3} b^{5} m^{6} x^{15}+210422576 a^{2} b^{6} m^{3} x^{18}+221312000 a \,b^{7} x^{21}+70 a^{4} b^{4} m^{8} x^{12}+5197360 a^{3} b^{5} m^{5} x^{15}+827034544 a^{2} b^{6} m^{2} x^{18}+7280 a^{4} b^{4} m^{7} x^{12}+65946104 a^{3} b^{5} m^{4} x^{15}+1540629440 a^{2} b^{6} m \,x^{18}+312340 a^{4} b^{4} m^{6} x^{12}+482544664 a^{3} b^{5} m^{3} x^{15}+896896000 a^{2} b^{6} x^{18}+56 a^{5} b^{3} m^{8} x^{9}+7138040 a^{4} b^{4} m^{5} x^{12}+1929412352 a^{3} b^{5} m^{2} x^{15}+5992 a^{5} b^{3} m^{7} x^{9}+93585310 a^{4} b^{4} m^{4} x^{12}+3637973920 a^{3} b^{5} m \,x^{15}+265664 a^{5} b^{3} m^{6} x^{9}+705493880 a^{4} b^{4} m^{3} x^{12}+2130128000 a^{3} b^{5} x^{15}+28 a^{6} b^{2} m^{8} x^{6}+6302128 a^{5} b^{3} m^{5} x^{9}+2891238280 a^{4} b^{4} m^{2} x^{12}+3080 a^{6} b^{2} m^{7} x^{6}+86082584 a^{5} b^{3} m^{4} x^{9}+5549616800 a^{4} b^{4} m \,x^{12}+141232 a^{6} b^{2} m^{6} x^{6}+676856488 a^{5} b^{3} m^{3} x^{9}+3277120000 a^{4} b^{4} x^{12}+8 a^{7} b \,m^{8} x^{3}+3490760 a^{6} b^{2} m^{5} x^{6}+2881562096 a^{5} b^{3} m^{2} x^{9}+904 a^{7} b \,m^{7} x^{3}+50116612 a^{6} b^{2} m^{4} x^{6}+5692950592 a^{5} b^{3} m \,x^{9}+42896 a^{7} b \,m^{6} x^{3}+418024880 a^{6} b^{2} m^{3} x^{6}+3408204800 a^{5} b^{3} x^{9}+a^{8} m^{8}+1108240 a^{7} b \,m^{5} x^{3}+1898889328 a^{6} b^{2} m^{2} x^{6}+116 a^{8} m^{7}+16867592 a^{7} b \,m^{4} x^{3}+3962060480 a^{6} b^{2} m \,x^{6}+5698 a^{8} m^{6}+152198536 a^{7} b \,m^{3} x^{3}+2434432000 a^{6} b^{2} x^{6}+154280 a^{8} m^{5}+769795424 a^{7} b \,m^{2} x^{3}+2508289 a^{8} m^{4}+1850614240 a^{7} b m \,x^{3}+24950324 a^{8} m^{3}+1217216000 a^{7} b \,x^{3}+147373372 a^{8} m^{2}+468851120 a^{8} m +608608000 a^{8}\right) x^{m +1}}{\left(m +1\right) \left(m +10\right) \left(m +13\right) \left(m +16\right) \left(m +19\right) \left(m +22\right) \left(m +25\right) \left(m +4\right) \left(m +7\right)}"," ",0,"x^(m+1)*(b^8*m^8*x^24+92*b^8*m^7*x^24+3514*b^8*m^6*x^24+8*a*b^7*m^8*x^21+72128*b^8*m^5*x^24+760*a*b^7*m^7*x^21+859369*b^8*m^4*x^24+29792*a*b^7*m^6*x^21+5974388*b^8*m^3*x^24+28*a^2*b^6*m^8*x^18+624400*a*b^7*m^5*x^21+22963996*b^8*m^2*x^24+2744*a^2*b^6*m^7*x^18+7563752*a*b^7*m^4*x^21+42124592*b^8*m*x^24+110656*a^2*b^6*m^6*x^18+53266360*a*b^7*m^3*x^21+24344320*b^8*x^24+56*a^3*b^5*m^8*x^15+2376920*a^2*b^6*m^5*x^18+206729648*a*b^7*m^2*x^21+5656*a^3*b^5*m^7*x^15+29390452*a^2*b^6*m^4*x^18+381743680*a*b^7*m*x^21+235088*a^3*b^5*m^6*x^15+210422576*a^2*b^6*m^3*x^18+221312000*a*b^7*x^21+70*a^4*b^4*m^8*x^12+5197360*a^3*b^5*m^5*x^15+827034544*a^2*b^6*m^2*x^18+7280*a^4*b^4*m^7*x^12+65946104*a^3*b^5*m^4*x^15+1540629440*a^2*b^6*m*x^18+312340*a^4*b^4*m^6*x^12+482544664*a^3*b^5*m^3*x^15+896896000*a^2*b^6*x^18+56*a^5*b^3*m^8*x^9+7138040*a^4*b^4*m^5*x^12+1929412352*a^3*b^5*m^2*x^15+5992*a^5*b^3*m^7*x^9+93585310*a^4*b^4*m^4*x^12+3637973920*a^3*b^5*m*x^15+265664*a^5*b^3*m^6*x^9+705493880*a^4*b^4*m^3*x^12+2130128000*a^3*b^5*x^15+28*a^6*b^2*m^8*x^6+6302128*a^5*b^3*m^5*x^9+2891238280*a^4*b^4*m^2*x^12+3080*a^6*b^2*m^7*x^6+86082584*a^5*b^3*m^4*x^9+5549616800*a^4*b^4*m*x^12+141232*a^6*b^2*m^6*x^6+676856488*a^5*b^3*m^3*x^9+3277120000*a^4*b^4*x^12+8*a^7*b*m^8*x^3+3490760*a^6*b^2*m^5*x^6+2881562096*a^5*b^3*m^2*x^9+904*a^7*b*m^7*x^3+50116612*a^6*b^2*m^4*x^6+5692950592*a^5*b^3*m*x^9+42896*a^7*b*m^6*x^3+418024880*a^6*b^2*m^3*x^6+3408204800*a^5*b^3*x^9+a^8*m^8+1108240*a^7*b*m^5*x^3+1898889328*a^6*b^2*m^2*x^6+116*a^8*m^7+16867592*a^7*b*m^4*x^3+3962060480*a^6*b^2*m*x^6+5698*a^8*m^6+152198536*a^7*b*m^3*x^3+2434432000*a^6*b^2*x^6+154280*a^8*m^5+769795424*a^7*b*m^2*x^3+2508289*a^8*m^4+1850614240*a^7*b*m*x^3+24950324*a^8*m^3+1217216000*a^7*b*x^3+147373372*a^8*m^2+468851120*a^8*m+608608000*a^8)/(m+1)/(10+m)/(m+13)/(16+m)/(19+m)/(22+m)/(25+m)/(m+4)/(m+7)","B"
584,1,432,97,0.007000," ","int(x^m*(b*x^3+a)^5,x)","\frac{\left(b^{5} m^{5} x^{15}+35 b^{5} m^{4} x^{15}+445 b^{5} m^{3} x^{15}+5 a \,b^{4} m^{5} x^{12}+2485 b^{5} m^{2} x^{15}+190 a \,b^{4} m^{4} x^{12}+5714 b^{5} m \,x^{15}+2555 a \,b^{4} m^{3} x^{12}+3640 b^{5} x^{15}+10 a^{2} b^{3} m^{5} x^{9}+14810 a \,b^{4} m^{2} x^{12}+410 a^{2} b^{3} m^{4} x^{9}+34840 a \,b^{4} m \,x^{12}+5950 a^{2} b^{3} m^{3} x^{9}+22400 a \,b^{4} x^{12}+10 a^{3} b^{2} m^{5} x^{6}+36550 a^{2} b^{3} m^{2} x^{9}+440 a^{3} b^{2} m^{4} x^{6}+89240 a^{2} b^{3} m \,x^{9}+6970 a^{3} b^{2} m^{3} x^{6}+58240 a^{2} b^{3} x^{9}+5 a^{4} b \,m^{5} x^{3}+47260 a^{3} b^{2} m^{2} x^{6}+235 a^{4} b \,m^{4} x^{3}+123920 a^{3} b^{2} m \,x^{6}+4085 a^{4} b \,m^{3} x^{3}+83200 a^{3} b^{2} x^{6}+a^{5} m^{5}+31685 a^{4} b \,m^{2} x^{3}+50 a^{5} m^{4}+100630 a^{4} b m \,x^{3}+955 a^{5} m^{3}+72800 a^{4} b \,x^{3}+8650 a^{5} m^{2}+36824 a^{5} m +58240 a^{5}\right) x^{m +1}}{\left(m +1\right) \left(m +4\right) \left(m +7\right) \left(m +10\right) \left(m +13\right) \left(m +16\right)}"," ",0,"x^(m+1)*(b^5*m^5*x^15+35*b^5*m^4*x^15+445*b^5*m^3*x^15+5*a*b^4*m^5*x^12+2485*b^5*m^2*x^15+190*a*b^4*m^4*x^12+5714*b^5*m*x^15+2555*a*b^4*m^3*x^12+3640*b^5*x^15+10*a^2*b^3*m^5*x^9+14810*a*b^4*m^2*x^12+410*a^2*b^3*m^4*x^9+34840*a*b^4*m*x^12+5950*a^2*b^3*m^3*x^9+22400*a*b^4*x^12+10*a^3*b^2*m^5*x^6+36550*a^2*b^3*m^2*x^9+440*a^3*b^2*m^4*x^6+89240*a^2*b^3*m*x^9+6970*a^3*b^2*m^3*x^6+58240*a^2*b^3*x^9+5*a^4*b*m^5*x^3+47260*a^3*b^2*m^2*x^6+235*a^4*b*m^4*x^3+123920*a^3*b^2*m*x^6+4085*a^4*b*m^3*x^3+83200*a^3*b^2*x^6+a^5*m^5+31685*a^4*b*m^2*x^3+50*a^5*m^4+100630*a^4*b*m*x^3+955*a^5*m^3+72800*a^4*b*x^3+8650*a^5*m^2+36824*a^5*m+58240*a^5)/(m+1)/(m+4)/(m+7)/(m+10)/(m+13)/(m+16)","B"
585,1,178,61,0.005000," ","int(x^m*(b*x^3+a)^3,x)","\frac{\left(b^{3} m^{3} x^{9}+12 b^{3} m^{2} x^{9}+39 b^{3} m \,x^{9}+3 a \,b^{2} m^{3} x^{6}+28 b^{3} x^{9}+45 a \,b^{2} m^{2} x^{6}+162 a \,b^{2} m \,x^{6}+3 a^{2} b \,m^{3} x^{3}+120 a \,b^{2} x^{6}+54 a^{2} b \,m^{2} x^{3}+261 a^{2} b m \,x^{3}+a^{3} m^{3}+210 a^{2} b \,x^{3}+21 a^{3} m^{2}+138 a^{3} m +280 a^{3}\right) x^{m +1}}{\left(m +10\right) \left(m +7\right) \left(m +4\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b^3*m^3*x^9+12*b^3*m^2*x^9+39*b^3*m*x^9+3*a*b^2*m^3*x^6+28*b^3*x^9+45*a*b^2*m^2*x^6+162*a*b^2*m*x^6+3*a^2*b*m^3*x^3+120*a*b^2*x^6+54*a^2*b*m^2*x^3+261*a^2*b*m*x^3+a^3*m^3+210*a^2*b*x^3+21*a^3*m^2+138*a^3*m+280*a^3)/(m+10)/(m+7)/(m+4)/(m+1)","B"
586,1,93,43,0.006000," ","int(x^m*(b*x^3+a)^2,x)","\frac{\left(b^{2} m^{2} x^{6}+5 b^{2} m \,x^{6}+4 b^{2} x^{6}+2 a b \,m^{2} x^{3}+16 a b m \,x^{3}+14 a b \,x^{3}+a^{2} m^{2}+11 a^{2} m +28 a^{2}\right) x^{m +1}}{\left(m +7\right) \left(m +4\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b^2*m^2*x^6+5*b^2*m*x^6+4*b^2*x^6+2*a*b*m^2*x^3+16*a*b*m*x^3+14*a*b*x^3+a^2*m^2+11*a^2*m+28*a^2)/(m+7)/(m+4)/(m+1)","B"
587,1,35,25,0.003000," ","int(x^m*(b*x^3+a),x)","\frac{\left(b m \,x^{3}+b \,x^{3}+a m +4 a \right) x^{m +1}}{\left(m +4\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b*m*x^3+b*x^3+a*m+4*a)/(m+4)/(m+1)","A"
588,0,0,37,0.104000," ","int(x^m/(b*x^3+a),x)","\int \frac{x^{m}}{b \,x^{3}+a}\, dx"," ",0,"int(x^m/(b*x^3+a),x)","F"
589,0,0,37,0.107000," ","int(x^m/(b*x^3+a)^2,x)","\int \frac{x^{m}}{\left(b \,x^{3}+a \right)^{2}}\, dx"," ",0,"int(x^m/(b*x^3+a)^2,x)","F"
590,0,0,37,0.101000," ","int(x^m/(b*x^3+a)^3,x)","\int \frac{x^{m}}{\left(b \,x^{3}+a \right)^{3}}\, dx"," ",0,"int(x^m/(b*x^3+a)^3,x)","F"
591,0,0,56,0.107000," ","int(x^m*(b*x^3+a)^(3/2),x)","\int \left(b \,x^{3}+a \right)^{\frac{3}{2}} x^{m}\, dx"," ",0,"int(x^m*(b*x^3+a)^(3/2),x)","F"
592,0,0,55,0.107000," ","int(x^m*(b*x^3+a)^(1/2),x)","\int \sqrt{b \,x^{3}+a}\, x^{m}\, dx"," ",0,"int(x^m*(b*x^3+a)^(1/2),x)","F"
593,0,0,46,0.102000," ","int(x^m/(b*x^3+a)^(1/2),x)","\int \frac{x^{m}}{\sqrt{b \,x^{3}+a}}\, dx"," ",0,"int(x^m/(b*x^3+a)^(1/2),x)","F"
594,0,0,58,0.103000," ","int(x^m/(b*x^3+a)^(3/2),x)","\int \frac{x^{m}}{\left(b \,x^{3}+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^m/(b*x^3+a)^(3/2),x)","F"
595,0,0,61,0.106000," ","int((c*x)^m*(b*x^3+a)^(4/3),x)","\int \left(b \,x^{3}+a \right)^{\frac{4}{3}} \left(c x \right)^{m}\, dx"," ",0,"int((c*x)^m*(b*x^3+a)^(4/3),x)","F"
596,0,0,57,0.108000," ","int((c*x)^m*(b*x^3+a)^(2/3),x)","\int \left(b \,x^{3}+a \right)^{\frac{2}{3}} \left(c x \right)^{m}\, dx"," ",0,"int((c*x)^m*(b*x^3+a)^(2/3),x)","F"
597,0,0,57,0.101000," ","int((c*x)^m*(b*x^3+a)^(1/3),x)","\int \left(b \,x^{3}+a \right)^{\frac{1}{3}} \left(c x \right)^{m}\, dx"," ",0,"int((c*x)^m*(b*x^3+a)^(1/3),x)","F"
598,0,0,64,0.105000," ","int((c*x)^m*(b*x^3+a)^p,x)","\int \left(c x \right)^{m} \left(b \,x^{3}+a \right)^{p}\, dx"," ",0,"int((c*x)^m*(b*x^3+a)^p,x)","F"
599,1,22,21,0.004000," ","int(x^2*(b*x^3+a)^p,x)","\frac{\left(b \,x^{3}+a \right)^{p +1}}{3 \left(p +1\right) b}"," ",0,"1/3*(b*x^3+a)^(p+1)/b/(p+1)","A"
600,1,42,44,0.005000," ","int(x^5*(b*x^3+a)^p,x)","-\frac{\left(-p b \,x^{3}-b \,x^{3}+a \right) \left(b \,x^{3}+a \right)^{p +1}}{3 \left(p^{2}+3 p +2\right) b^{2}}"," ",0,"-1/3*(b*x^3+a)^(p+1)*(-b*p*x^3-b*x^3+a)/b^2/(p^2+3*p+2)","A"
601,1,80,68,0.007000," ","int(x^8*(b*x^3+a)^p,x)","\frac{\left(b^{2} p^{2} x^{6}+3 b^{2} p \,x^{6}+2 b^{2} x^{6}-2 a b p \,x^{3}-2 a b \,x^{3}+2 a^{2}\right) \left(b \,x^{3}+a \right)^{p +1}}{3 \left(p^{3}+6 p^{2}+11 p +6\right) b^{3}}"," ",0,"1/3*(b*x^3+a)^(p+1)*(b^2*p^2*x^6+3*b^2*p*x^6+2*b^2*x^6-2*a*b*p*x^3-2*a*b*x^3+2*a^2)/b^3/(p^3+6*p^2+11*p+6)","A"
602,1,132,91,0.009000," ","int(x^11*(b*x^3+a)^p,x)","-\frac{\left(-b^{3} p^{3} x^{9}-6 b^{3} p^{2} x^{9}-11 b^{3} p \,x^{9}-6 b^{3} x^{9}+3 a \,b^{2} p^{2} x^{6}+9 a \,b^{2} p \,x^{6}+6 a \,b^{2} x^{6}-6 a^{2} b p \,x^{3}-6 a^{2} b \,x^{3}+6 a^{3}\right) \left(b \,x^{3}+a \right)^{p +1}}{3 \left(p^{4}+10 p^{3}+35 p^{2}+50 p +24\right) b^{4}}"," ",0,"-1/3*(b*x^3+a)^(p+1)*(-b^3*p^3*x^9-6*b^3*p^2*x^9-11*b^3*p*x^9-6*b^3*x^9+3*a*b^2*p^2*x^6+9*a*b^2*p*x^6+6*a*b^2*x^6-6*a^2*b*p*x^3-6*a^2*b*x^3+6*a^3)/b^4/(p^4+10*p^3+35*p^2+50*p+24)","A"
603,1,35,25,0.004000," ","int(x^m*(b*x^4+a),x)","\frac{\left(b m \,x^{4}+b \,x^{4}+a m +5 a \right) x^{m +1}}{\left(m +5\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b*m*x^4+b*x^4+a*m+5*a)/(m+5)/(m+1)","A"
604,1,14,13,0.001000," ","int(x^5*(b*x^4+a),x)","\frac{1}{10} b \,x^{10}+\frac{1}{6} a \,x^{6}"," ",0,"1/6*x^6*a+1/10*b*x^10","A"
605,1,14,13,0.001000," ","int(x^4*(b*x^4+a),x)","\frac{1}{9} b \,x^{9}+\frac{1}{5} a \,x^{5}"," ",0,"1/5*a*x^5+1/9*b*x^9","A"
606,1,14,13,0.001000," ","int(x^3*(b*x^4+a),x)","\frac{1}{8} b \,x^{8}+\frac{1}{4} a \,x^{4}"," ",0,"1/4*a*x^4+1/8*b*x^8","A"
607,1,14,13,0.000000," ","int(x^2*(b*x^4+a),x)","\frac{1}{7} b \,x^{7}+\frac{1}{3} a \,x^{3}"," ",0,"1/3*a*x^3+1/7*b*x^7","A"
608,1,14,13,0.000000," ","int(x*(b*x^4+a),x)","\frac{1}{6} b \,x^{6}+\frac{1}{2} a \,x^{2}"," ",0,"1/2*a*x^2+1/6*b*x^6","A"
609,1,11,10,0.000000," ","int(b*x^4+a,x)","\frac{1}{5} b \,x^{5}+a x"," ",0,"a*x+1/5*b*x^5","A"
610,1,12,11,0.003000," ","int((b*x^4+a)/x,x)","\frac{b \,x^{4}}{4}+a \ln \left(x \right)"," ",0,"1/4*b*x^4+a*ln(x)","A"
611,1,14,13,0.004000," ","int((b*x^4+a)/x^2,x)","\frac{b \,x^{3}}{3}-\frac{a}{x}"," ",0,"-a/x+1/3*b*x^3","A"
612,1,14,13,0.005000," ","int((b*x^4+a)/x^3,x)","\frac{b \,x^{2}}{2}-\frac{a}{2 x^{2}}"," ",0,"-1/2*a/x^2+1/2*b*x^2","A"
613,1,11,10,0.003000," ","int((b*x^4+a)/x^4,x)","b x -\frac{a}{3 x^{3}}"," ",0,"-1/3*a/x^3+b*x","A"
614,1,12,11,0.005000," ","int((b*x^4+a)/x^5,x)","b \ln \left(x \right)-\frac{a}{4 x^{4}}"," ",0,"-1/4*a/x^4+b*ln(x)","A"
615,1,14,13,0.003000," ","int((b*x^4+a)/x^6,x)","-\frac{b}{x}-\frac{a}{5 x^{5}}"," ",0,"-1/5*a/x^5-b/x","A"
616,1,14,13,0.005000," ","int((b*x^4+a)/x^7,x)","-\frac{b}{2 x^{2}}-\frac{a}{6 x^{6}}"," ",0,"-1/6*a/x^6-1/2*b/x^2","A"
617,1,14,13,0.004000," ","int((b*x^4+a)/x^8,x)","-\frac{b}{3 x^{3}}-\frac{a}{7 x^{7}}"," ",0,"-1/7*a/x^7-1/3*b/x^3","A"
618,1,14,13,0.004000," ","int((b*x^4+a)/x^9,x)","-\frac{b}{4 x^{4}}-\frac{a}{8 x^{8}}"," ",0,"-1/8*a/x^8-1/4*b/x^4","A"
619,1,14,13,0.006000," ","int((b*x^4+a)/x^10,x)","-\frac{b}{5 x^{5}}-\frac{a}{9 x^{9}}"," ",0,"-1/9*a/x^9-1/5*b/x^5","A"
620,1,93,43,0.006000," ","int(x^m*(b*x^4+a)^2,x)","\frac{\left(b^{2} m^{2} x^{8}+6 b^{2} m \,x^{8}+5 b^{2} x^{8}+2 a b \,m^{2} x^{4}+20 a b m \,x^{4}+18 a b \,x^{4}+a^{2} m^{2}+14 a^{2} m +45 a^{2}\right) x^{m +1}}{\left(m +9\right) \left(m +5\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b^2*m^2*x^8+6*b^2*m*x^8+5*b^2*x^8+2*a*b*m^2*x^4+20*a*b*m*x^4+18*a*b*x^4+a^2*m^2+14*a^2*m+45*a^2)/(m+9)/(m+5)/(m+1)","B"
621,1,25,24,0.001000," ","int(x^5*(b*x^4+a)^2,x)","\frac{1}{14} b^{2} x^{14}+\frac{1}{5} a b \,x^{10}+\frac{1}{6} a^{2} x^{6}"," ",0,"1/6*a^2*x^6+1/5*a*b*x^10+1/14*b^2*x^14","A"
622,1,25,24,0.002000," ","int(x^4*(b*x^4+a)^2,x)","\frac{1}{13} b^{2} x^{13}+\frac{2}{9} a b \,x^{9}+\frac{1}{5} a^{2} x^{5}"," ",0,"1/5*a^2*x^5+2/9*a*b*x^9+1/13*b^2*x^13","A"
623,1,25,14,0.000000," ","int(x^3*(b*x^4+a)^2,x)","\frac{1}{12} b^{2} x^{12}+\frac{1}{4} a b \,x^{8}+\frac{1}{4} a^{2} x^{4}"," ",0,"1/12*b^2*x^12+1/4*a*b*x^8+1/4*a^2*x^4","A"
624,1,25,24,0.001000," ","int(x^2*(b*x^4+a)^2,x)","\frac{1}{11} b^{2} x^{11}+\frac{2}{7} a b \,x^{7}+\frac{1}{3} a^{2} x^{3}"," ",0,"1/3*a^2*x^3+2/7*a*b*x^7+1/11*b^2*x^11","A"
625,1,25,24,0.000000," ","int(x*(b*x^4+a)^2,x)","\frac{1}{10} b^{2} x^{10}+\frac{1}{3} a b \,x^{6}+\frac{1}{2} a^{2} x^{2}"," ",0,"1/2*a^2*x^2+1/3*a*b*x^6+1/10*b^2*x^10","A"
626,1,22,21,0.001000," ","int((b*x^4+a)^2,x)","\frac{1}{9} b^{2} x^{9}+\frac{2}{5} a b \,x^{5}+a^{2} x"," ",0,"a^2*x+2/5*a*b*x^5+1/9*b^2*x^9","A"
627,1,23,22,0.003000," ","int((b*x^4+a)^2/x,x)","\frac{b^{2} x^{8}}{8}+\frac{a b \,x^{4}}{2}+a^{2} \ln \left(x \right)"," ",0,"1/2*a*b*x^4+1/8*b^2*x^8+a^2*ln(x)","A"
628,1,25,24,0.002000," ","int((b*x^4+a)^2/x^2,x)","\frac{b^{2} x^{7}}{7}+\frac{2 a b \,x^{3}}{3}-\frac{a^{2}}{x}"," ",0,"-a^2/x+2/3*a*b*x^3+1/7*b^2*x^7","A"
629,1,24,23,0.004000," ","int((b*x^4+a)^2/x^3,x)","\frac{b^{2} x^{6}}{6}+a b \,x^{2}-\frac{a^{2}}{2 x^{2}}"," ",0,"-1/2*a^2/x^2+a*b*x^2+1/6*b^2*x^6","A"
630,1,23,22,0.003000," ","int((b*x^4+a)^2/x^4,x)","\frac{b^{2} x^{5}}{5}+2 a b x -\frac{a^{2}}{3 x^{3}}"," ",0,"-1/3*a^2/x^3+2*a*b*x+1/5*b^2*x^5","A"
631,1,24,23,0.007000," ","int((b*x^4+a)^2/x^5,x)","\frac{b^{2} x^{4}}{4}+2 a b \ln \left(x \right)-\frac{a^{2}}{4 x^{4}}"," ",0,"-1/4*a^2/x^4+1/4*b^2*x^4+2*a*b*ln(x)","A"
632,1,178,61,0.006000," ","int(x^m*(b*x^4+a)^3,x)","\frac{\left(b^{3} m^{3} x^{12}+15 b^{3} m^{2} x^{12}+59 b^{3} m \,x^{12}+45 b^{3} x^{12}+3 a \,b^{2} m^{3} x^{8}+57 a \,b^{2} m^{2} x^{8}+249 a \,b^{2} m \,x^{8}+195 a \,b^{2} x^{8}+3 a^{2} b \,m^{3} x^{4}+69 a^{2} b \,m^{2} x^{4}+417 a^{2} b m \,x^{4}+351 a^{2} b \,x^{4}+a^{3} m^{3}+27 a^{3} m^{2}+227 a^{3} m +585 a^{3}\right) x^{m +1}}{\left(m +13\right) \left(m +9\right) \left(m +5\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b^3*m^3*x^12+15*b^3*m^2*x^12+59*b^3*m*x^12+45*b^3*x^12+3*a*b^2*m^3*x^8+57*a*b^2*m^2*x^8+249*a*b^2*m*x^8+195*a*b^2*x^8+3*a^2*b*m^3*x^4+69*a^2*b*m^2*x^4+417*a^2*b*m*x^4+351*a^2*b*x^4+a^3*m^3+27*a^3*m^2+227*a^3*m+585*a^3)/(m+13)/(m+9)/(m+5)/(m+1)","B"
633,1,36,35,0.000000," ","int(x^5*(b*x^4+a)^3,x)","\frac{1}{18} b^{3} x^{18}+\frac{3}{14} a \,b^{2} x^{14}+\frac{3}{10} a^{2} b \,x^{10}+\frac{1}{6} a^{3} x^{6}"," ",0,"1/6*a^3*x^6+3/10*a^2*b*x^10+3/14*a*b^2*x^14+1/18*b^3*x^18","A"
634,1,36,35,0.001000," ","int(x^4*(b*x^4+a)^3,x)","\frac{1}{17} b^{3} x^{17}+\frac{3}{13} a \,b^{2} x^{13}+\frac{1}{3} a^{2} b \,x^{9}+\frac{1}{5} a^{3} x^{5}"," ",0,"1/5*a^3*x^5+1/3*a^2*b*x^9+3/13*a*b^2*x^13+1/17*b^3*x^17","A"
635,1,36,14,0.001000," ","int(x^3*(b*x^4+a)^3,x)","\frac{1}{16} b^{3} x^{16}+\frac{1}{4} a \,b^{2} x^{12}+\frac{3}{8} a^{2} b \,x^{8}+\frac{1}{4} a^{3} x^{4}"," ",0,"1/16*b^3*x^16+1/4*a*b^2*x^12+3/8*a^2*b*x^8+1/4*a^3*x^4","B"
636,1,36,35,0.002000," ","int(x^2*(b*x^4+a)^3,x)","\frac{1}{15} b^{3} x^{15}+\frac{3}{11} a \,b^{2} x^{11}+\frac{3}{7} a^{2} b \,x^{7}+\frac{1}{3} a^{3} x^{3}"," ",0,"1/3*a^3*x^3+3/7*a^2*b*x^7+3/11*a*b^2*x^11+1/15*b^3*x^15","A"
637,1,36,35,0.000000," ","int(x*(b*x^4+a)^3,x)","\frac{1}{14} b^{3} x^{14}+\frac{3}{10} a \,b^{2} x^{10}+\frac{1}{2} a^{2} b \,x^{6}+\frac{1}{2} a^{3} x^{2}"," ",0,"1/2*a^3*x^2+1/2*a^2*b*x^6+3/10*a*b^2*x^10+1/14*b^3*x^14","A"
638,1,33,32,0.002000," ","int((b*x^4+a)^3,x)","\frac{1}{13} b^{3} x^{13}+\frac{1}{3} a \,b^{2} x^{9}+\frac{3}{5} a^{2} b \,x^{5}+a^{3} x"," ",0,"a^3*x+3/5*a^2*b*x^5+1/3*a*b^2*x^9+1/13*b^3*x^13","A"
639,1,34,33,0.003000," ","int((b*x^4+a)^3/x,x)","\frac{b^{3} x^{12}}{12}+\frac{3 a \,b^{2} x^{8}}{8}+\frac{3 a^{2} b \,x^{4}}{4}+a^{3} \ln \left(x \right)"," ",0,"3/4*a^2*b*x^4+3/8*a*b^2*x^8+1/12*b^3*x^12+a^3*ln(x)","A"
640,1,35,34,0.004000," ","int((b*x^4+a)^3/x^2,x)","\frac{b^{3} x^{11}}{11}+\frac{3 a \,b^{2} x^{7}}{7}+a^{2} b \,x^{3}-\frac{a^{3}}{x}"," ",0,"-a^3/x+a^2*b*x^3+3/7*a*b^2*x^7+1/11*b^3*x^11","A"
641,1,36,35,0.004000," ","int((b*x^4+a)^3/x^3,x)","\frac{b^{3} x^{10}}{10}+\frac{a \,b^{2} x^{6}}{2}+\frac{3 a^{2} b \,x^{2}}{2}-\frac{a^{3}}{2 x^{2}}"," ",0,"-1/2*a^3/x^2+3/2*a^2*b*x^2+1/2*a*b^2*x^6+1/10*b^3*x^10","A"
642,1,34,33,0.004000," ","int((b*x^4+a)^3/x^4,x)","\frac{b^{3} x^{9}}{9}+\frac{3 a \,b^{2} x^{5}}{5}+3 a^{2} b x -\frac{a^{3}}{3 x^{3}}"," ",0,"-1/3*a^3/x^3+3*a^2*b*x+3/5*a*b^2*x^5+1/9*b^3*x^9","A"
643,1,35,34,0.008000," ","int((b*x^4+a)^3/x^5,x)","\frac{b^{3} x^{8}}{8}+\frac{3 a \,b^{2} x^{4}}{4}+3 a^{2} b \ln \left(x \right)-\frac{a^{3}}{4 x^{4}}"," ",0,"-1/4*a^3/x^4+3/4*a*b^2*x^4+1/8*b^3*x^8+3*a^2*b*ln(x)","A"
644,1,43,37,0.005000," ","int(x^9/(c*x^4+a),x)","\frac{x^{6}}{6 c}+\frac{a^{2} \arctan \left(\frac{c \,x^{2}}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c^{2}}-\frac{a \,x^{2}}{2 c^{2}}"," ",0,"1/6*x^6/c-1/2*a*x^2/c^2+1/2*a^2/c^2/(a*c)^(1/2)*arctan(c*x^2/(a*c)^(1/2))","A"
645,1,24,23,0.004000," ","int(x^7/(c*x^4+a),x)","\frac{x^{4}}{4 c}-\frac{a \ln \left(c \,x^{4}+a \right)}{4 c^{2}}"," ",0,"1/4*x^4/c-1/4*a*ln(c*x^4+a)/c^2","A"
646,1,32,28,0.001000," ","int(x^5/(c*x^4+a),x)","-\frac{a \arctan \left(\frac{c \,x^{2}}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{x^{2}}{2 c}"," ",0,"1/2*x^2/c-1/2*a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x^2)","A"
647,1,14,13,0.001000," ","int(x^3/(c*x^4+a),x)","\frac{\ln \left(c \,x^{4}+a \right)}{4 c}"," ",0,"1/4*ln(c*x^4+a)/c","A"
648,1,19,19,0.003000," ","int(x/(c*x^4+a),x)","\frac{\arctan \left(\frac{c \,x^{2}}{\sqrt{a c}}\right)}{2 \sqrt{a c}}"," ",0,"1/2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x^2)","A"
649,1,21,20,0.006000," ","int(1/x/(c*x^4+a),x)","\frac{\ln \left(x \right)}{a}-\frac{\ln \left(c \,x^{4}+a \right)}{4 a}"," ",0,"1/a*ln(x)-1/4*ln(c*x^4+a)/a","A"
650,1,32,28,0.003000," ","int(1/x^3/(c*x^4+a),x)","-\frac{c \arctan \left(\frac{c \,x^{2}}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}-\frac{1}{2 a \,x^{2}}"," ",0,"-1/2*c/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x^2)-1/2/a/x^2","A"
651,1,32,31,0.006000," ","int(1/x^5/(c*x^4+a),x)","-\frac{c \ln \left(x \right)}{a^{2}}+\frac{c \ln \left(c \,x^{4}+a \right)}{4 a^{2}}-\frac{1}{4 a \,x^{4}}"," ",0,"-1/4/a/x^4-1/a^2*c*ln(x)+1/4*c*ln(c*x^4+a)/a^2","A"
652,1,43,37,0.007000," ","int(1/x^7/(c*x^4+a),x)","\frac{c^{2} \arctan \left(\frac{c \,x^{2}}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a^{2}}+\frac{c}{2 a^{2} x^{2}}-\frac{1}{6 a \,x^{6}}"," ",0,"1/2*c^2/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x^2)-1/6/x^6/a+1/2*c/a^2/x^2","A"
653,1,133,125,0.009000," ","int(x^4/(c*x^4+a),x)","\frac{x}{c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 c}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 c}"," ",0,"x/c-1/8/c*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*x*2^(1/2)+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*x*2^(1/2)+(a/c)^(1/2)))-1/4/c*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)-1/4/c*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
654,1,128,120,0.003000," ","int(x^2/(c*x^4+a),x)","\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}"," ",0,"1/8/c/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+1/4/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/4/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
655,1,128,120,0.002000," ","int(1/(c*x^4+a),x)","\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 a}"," ",0,"1/8*(a/c)^(1/4)/a*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+1/4*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/4*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
656,1,136,128,0.006000," ","int(1/x^2/(c*x^4+a),x)","-\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} a}-\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} a}-\frac{\sqrt{2}\, \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} a}-\frac{1}{a x}"," ",0,"-1/8/a/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))-1/4/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)-1/4/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)-1/a/x","A"
657,1,139,128,0.006000," ","int(1/x^4/(c*x^4+a),x)","-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 a^{2}}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 a^{2}}-\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 a^{2}}-\frac{1}{3 a \,x^{3}}"," ",0,"-1/3/a/x^3-1/8*c/a^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))-1/4*c/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)-1/4*c/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
658,1,41,40,0.013000," ","int(x^11/(c*x^4+a)^2,x)","\frac{x^{4}}{4 c^{2}}-\frac{a^{2}}{4 \left(c \,x^{4}+a \right) c^{3}}-\frac{a \ln \left(c \,x^{4}+a \right)}{2 c^{3}}"," ",0,"1/4*x^4/c^2-1/4*a^2/c^3/(c*x^4+a)-1/2*a*ln(c*x^4+a)/c^3","A"
659,1,50,45,0.012000," ","int(x^9/(c*x^4+a)^2,x)","\frac{a \,x^{2}}{4 \left(c \,x^{4}+a \right) c^{2}}-\frac{3 a \arctan \left(\frac{c \,x^{2}}{\sqrt{a c}}\right)}{4 \sqrt{a c}\, c^{2}}+\frac{x^{2}}{2 c^{2}}"," ",0,"1/2*x^2/c^2+1/4*a/c^2*x^2/(c*x^4+a)-3/4*a/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x^2)","A"
660,1,30,29,0.011000," ","int(x^7/(c*x^4+a)^2,x)","\frac{a}{4 \left(c \,x^{4}+a \right) c^{2}}+\frac{\ln \left(c \,x^{4}+a \right)}{4 c^{2}}"," ",0,"1/4*a/c^2/(c*x^4+a)+1/4*ln(c*x^4+a)/c^2","A"
661,1,40,37,0.010000," ","int(x^5/(c*x^4+a)^2,x)","-\frac{x^{2}}{4 \left(c \,x^{4}+a \right) c}+\frac{\arctan \left(\frac{c \,x^{2}}{\sqrt{a c}}\right)}{4 \sqrt{a c}\, c}"," ",0,"-1/4*x^2/c/(c*x^4+a)+1/4/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x^2)","A"
662,1,15,14,0.001000," ","int(x^3/(c*x^4+a)^2,x)","-\frac{1}{4 \left(c \,x^{4}+a \right) c}"," ",0,"-1/4/c/(c*x^4+a)","A"
663,1,40,37,0.006000," ","int(x/(c*x^4+a)^2,x)","\frac{x^{2}}{4 \left(c \,x^{4}+a \right) a}+\frac{\arctan \left(\frac{c \,x^{2}}{\sqrt{a c}}\right)}{4 \sqrt{a c}\, a}"," ",0,"1/4*x^2/a/(c*x^4+a)+1/4/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x^2)","A"
664,1,35,34,0.016000," ","int(1/x/(c*x^4+a)^2,x)","\frac{1}{4 \left(c \,x^{4}+a \right) a}+\frac{\ln \left(x \right)}{a^{2}}-\frac{\ln \left(c \,x^{4}+a \right)}{4 a^{2}}"," ",0,"1/4/a/(c*x^4+a)+1/a^2*ln(x)-1/4*ln(c*x^4+a)/a^2","A"
665,1,50,45,0.015000," ","int(1/x^3/(c*x^4+a)^2,x)","-\frac{c \,x^{2}}{4 \left(c \,x^{4}+a \right) a^{2}}-\frac{3 c \arctan \left(\frac{c \,x^{2}}{\sqrt{a c}}\right)}{4 \sqrt{a c}\, a^{2}}-\frac{1}{2 a^{2} x^{2}}"," ",0,"-1/4*c/a^2*x^2/(c*x^4+a)-3/4*c/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x^2)-1/2/a^2/x^2","A"
666,1,145,137,0.010000," ","int(x^6/(c*x^4+a)^2,x)","-\frac{x^{3}}{4 \left(c \,x^{4}+a \right) c}+\frac{3 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{3 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{3 \sqrt{2}\, \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{2}}"," ",0,"-1/4*x^3/c/(c*x^4+a)+3/32/c^2/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+3/16/c^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+3/16/c^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
667,1,152,135,0.007000," ","int(x^4/(c*x^4+a)^2,x)","-\frac{x}{4 \left(c \,x^{4}+a \right) c}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 a c}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 a c}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 a c}"," ",0,"-1/4*x/c/(c*x^4+a)+1/32/c*(a/c)^(1/4)/a*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+1/16/c*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/16/c*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
668,1,154,137,0.005000," ","int(x^2/(c*x^4+a)^2,x)","\frac{x^{3}}{4 \left(c \,x^{4}+a \right) a}+\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}+\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}"," ",0,"1/4*x^3/a/(c*x^4+a)+1/32/a/c/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+1/16/a/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/16/a/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
669,1,143,135,0.004000," ","int(1/(c*x^4+a)^2,x)","\frac{x}{4 \left(c \,x^{4}+a \right) a}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 a^{2}}"," ",0,"1/4*x/a/(c*x^4+a)+3/32/a^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+3/16/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+3/16/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
670,1,154,145,0.012000," ","int(1/x^2/(c*x^4+a)^2,x)","-\frac{c \,x^{3}}{4 \left(c \,x^{4}+a \right) a^{2}}-\frac{5 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}-\frac{5 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}-\frac{5 \sqrt{2}\, \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}-\frac{1}{a^{2} x}"," ",0,"-1/4*c/a^2*x^3/(c*x^4+a)-5/32/a^2/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))-5/16/a^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)-5/16/a^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)-1/a^2/x","A"
671,1,155,145,0.012000," ","int(1/x^4/(c*x^4+a)^2,x)","-\frac{c x}{4 \left(c \,x^{4}+a \right) a^{2}}-\frac{7 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 a^{3}}-\frac{7 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 a^{3}}-\frac{7 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 a^{3}}-\frac{1}{3 a^{2} x^{3}}"," ",0,"-1/4/a^2*c*x/(c*x^4+a)-7/32/a^3*c*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))-7/16/a^3*c*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)-7/16/a^3*c*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)-1/3/a^2/x^3","A"
672,1,47,46,0.010000," ","int(x^11/(c*x^4+a)^3,x)","-\frac{a^{2}}{8 \left(c \,x^{4}+a \right)^{2} c^{3}}+\frac{a}{2 \left(c \,x^{4}+a \right) c^{3}}+\frac{\ln \left(c \,x^{4}+a \right)}{4 c^{3}}"," ",0,"-1/8*a^2/c^3/(c*x^4+a)^2+1/2*a/c^3/(c*x^4+a)+1/4*ln(c*x^4+a)/c^3","A"
673,1,52,54,0.012000," ","int(x^9/(c*x^4+a)^3,x)","\frac{3 \arctan \left(\frac{c \,x^{2}}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, c^{2}}+\frac{-\frac{5 x^{6}}{8 c}-\frac{3 a \,x^{2}}{8 c^{2}}}{2 \left(c \,x^{4}+a \right)^{2}}"," ",0,"1/2*(-5/8/c*x^6-3/8*a/c^2*x^2)/(c*x^4+a)^2+3/16/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x^2)","A"
674,1,31,17,0.010000," ","int(x^7/(c*x^4+a)^3,x)","\frac{a}{8 \left(c \,x^{4}+a \right)^{2} c^{2}}-\frac{1}{4 \left(c \,x^{4}+a \right) c^{2}}"," ",0,"-1/4/c^2/(c*x^4+a)+1/8*a/c^2/(c*x^4+a)^2","A"
675,1,54,57,0.010000," ","int(x^5/(c*x^4+a)^3,x)","\frac{\arctan \left(\frac{c \,x^{2}}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a c}+\frac{\frac{x^{6}}{8 a}-\frac{x^{2}}{8 c}}{2 \left(c \,x^{4}+a \right)^{2}}"," ",0,"1/2*(1/8*x^6/a-1/8/c*x^2)/(c*x^4+a)^2+1/16/c/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x^2)","A"
676,1,15,14,0.002000," ","int(x^3/(c*x^4+a)^3,x)","-\frac{1}{8 \left(c \,x^{4}+a \right)^{2} c}"," ",0,"-1/8/c/(c*x^4+a)^2","A"
677,1,57,54,0.007000," ","int(x/(c*x^4+a)^3,x)","\frac{x^{2}}{8 \left(c \,x^{4}+a \right)^{2} a}+\frac{3 x^{2}}{16 \left(c \,x^{4}+a \right) a^{2}}+\frac{3 \arctan \left(\frac{c \,x^{2}}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{2}}"," ",0,"1/8*x^2/a/(c*x^4+a)^2+3/16*x^2/a^2/(c*x^4+a)+3/16/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x^2)","A"
678,1,49,48,0.017000," ","int(1/x/(c*x^4+a)^3,x)","\frac{1}{8 \left(c \,x^{4}+a \right)^{2} a}+\frac{1}{4 \left(c \,x^{4}+a \right) a^{2}}+\frac{\ln \left(x \right)}{a^{3}}-\frac{\ln \left(c \,x^{4}+a \right)}{4 a^{3}}"," ",0,"1/8/a/(c*x^4+a)^2+1/4/a^2/(c*x^4+a)+1/a^3*ln(x)-1/4*ln(c*x^4+a)/a^3","A"
679,1,70,62,0.015000," ","int(1/x^3/(c*x^4+a)^3,x)","-\frac{7 c^{2} x^{6}}{16 \left(c \,x^{4}+a \right)^{2} a^{3}}-\frac{9 c \,x^{2}}{16 \left(c \,x^{4}+a \right)^{2} a^{2}}-\frac{15 c \arctan \left(\frac{c \,x^{2}}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{3}}-\frac{1}{2 a^{3} x^{2}}"," ",0,"-7/16*c^2/a^3/(c*x^4+a)^2*x^6-9/16*c/a^2/(c*x^4+a)^2*x^2-15/16*c/a^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x^2)-1/2/x^2/a^3","A"
680,1,156,154,0.011000," ","int(x^10/(c*x^4+a)^3,x)","\frac{21 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{21 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{21 \sqrt{2}\, \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 \left(\frac{a}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{-\frac{11 x^{7}}{32 c}-\frac{7 a \,x^{3}}{32 c^{2}}}{\left(c \,x^{4}+a \right)^{2}}"," ",0,"(-11/32/c*x^7-7/32*a/c^2*x^3)/(c*x^4+a)^2+21/256/c^3/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+21/128/c^3/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+21/128/c^3/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
681,1,163,152,0.013000," ","int(x^8/(c*x^4+a)^3,x)","\frac{5 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 a \,c^{2}}+\frac{5 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 a \,c^{2}}+\frac{5 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 a \,c^{2}}+\frac{-\frac{9 x^{5}}{32 c}-\frac{5 a x}{32 c^{2}}}{\left(c \,x^{4}+a \right)^{2}}"," ",0,"(-9/32/c*x^5-5/32*a/c^2*x)/(c*x^4+a)^2+5/256/c^2*(a/c)^(1/4)/a*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+5/128/c^2*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+5/128/c^2*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
682,1,164,157,0.011000," ","int(x^6/(c*x^4+a)^3,x)","\frac{3 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a \,c^{2}}+\frac{3 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a \,c^{2}}+\frac{3 \sqrt{2}\, \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 \left(\frac{a}{c}\right)^{\frac{1}{4}} a \,c^{2}}+\frac{\frac{3 x^{7}}{32 a}-\frac{x^{3}}{32 c}}{\left(c \,x^{4}+a \right)^{2}}"," ",0,"(3/32*x^7/a-1/32/c*x^3)/(c*x^4+a)^2+3/256/c^2/a/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+3/128/c^2/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+3/128/c^2/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
683,1,162,153,0.013000," ","int(x^4/(c*x^4+a)^3,x)","\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 a^{2} c}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 a^{2} c}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 a^{2} c}+\frac{\frac{x^{5}}{32 a}-\frac{3 x}{32 c}}{\left(c \,x^{4}+a \right)^{2}}"," ",0,"(1/32/a*x^5-3/32/c*x)/(c*x^4+a)^2+3/256/c/a^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+3/128/c/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+3/128/c/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
684,1,171,154,0.004000," ","int(x^2/(c*x^4+a)^3,x)","\frac{x^{3}}{8 \left(c \,x^{4}+a \right)^{2} a}+\frac{5 x^{3}}{32 \left(c \,x^{4}+a \right) a^{2}}+\frac{5 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}+\frac{5 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}+\frac{5 \sqrt{2}\, \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}"," ",0,"1/8*x^3/a/(c*x^4+a)^2+5/32*x^3/a^2/(c*x^4+a)+5/256/a^2/c/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+5/128/a^2/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+5/128/a^2/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
685,1,158,150,0.006000," ","int(1/(c*x^4+a)^3,x)","\frac{x}{8 \left(c \,x^{4}+a \right)^{2} a}+\frac{7 x}{32 \left(c \,x^{4}+a \right) a^{2}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 a^{3}}"," ",0,"1/8*x/a/(c*x^4+a)^2+7/32*x/a^2/(c*x^4+a)+21/256/a^3*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+21/128/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+21/128/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
686,1,174,162,0.015000," ","int(1/x^2/(c*x^4+a)^3,x)","-\frac{13 c^{2} x^{7}}{32 \left(c \,x^{4}+a \right)^{2} a^{3}}-\frac{17 c \,x^{3}}{32 \left(c \,x^{4}+a \right)^{2} a^{2}}-\frac{45 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{3}}-\frac{45 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{3}}-\frac{45 \sqrt{2}\, \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{3}}-\frac{1}{a^{3} x}"," ",0,"-13/32*c^2/a^3/(c*x^4+a)^2*x^7-17/32*c/a^2/(c*x^4+a)^2*x^3-45/256/a^3/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))-45/128/a^3/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)-45/128/a^3/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)-1/a^3/x","A"
687,1,26,25,0.004000," ","int(x^9/(3*x^4+2),x)","\frac{x^{6}}{18}-\frac{x^{2}}{9}+\frac{\sqrt{6}\, \arctan \left(\frac{\sqrt{6}\, x^{2}}{2}\right)}{27}"," ",0,"-1/9*x^2+1/18*x^6+1/27*arctan(1/2*x^2*6^(1/2))*6^(1/2)","A"
688,1,17,16,0.003000," ","int(x^7/(3*x^4+2),x)","\frac{x^{4}}{12}-\frac{\ln \left(3 x^{4}+2\right)}{18}"," ",0,"1/12*x^4-1/18*ln(3*x^4+2)","A"
689,1,21,20,0.003000," ","int(x^5/(3*x^4+2),x)","\frac{x^{2}}{6}-\frac{\sqrt{6}\, \arctan \left(\frac{\sqrt{6}\, x^{2}}{2}\right)}{18}"," ",0,"1/6*x^2-1/18*6^(1/2)*arctan(1/2*6^(1/2)*x^2)","A"
690,1,11,10,0.000000," ","int(x^3/(3*x^4+2),x)","\frac{\ln \left(3 x^{4}+2\right)}{12}"," ",0,"1/12*ln(3*x^4+2)","A"
691,1,15,14,0.003000," ","int(x/(3*x^4+2),x)","\frac{\sqrt{6}\, \arctan \left(\frac{\sqrt{6}\, x^{2}}{2}\right)}{12}"," ",0,"1/12*6^(1/2)*arctan(1/2*6^(1/2)*x^2)","A"
692,1,16,15,0.005000," ","int(1/x/(3*x^4+2),x)","\frac{\ln \left(x \right)}{2}-\frac{\ln \left(3 x^{4}+2\right)}{8}"," ",0,"1/2*ln(x)-1/8*ln(3*x^4+2)","A"
693,1,21,20,0.004000," ","int(1/x^3/(3*x^4+2),x)","-\frac{\sqrt{6}\, \arctan \left(\frac{\sqrt{6}\, x^{2}}{2}\right)}{8}-\frac{1}{4 x^{2}}"," ",0,"-1/4/x^2-1/8*6^(1/2)*arctan(1/2*6^(1/2)*x^2)","A"
694,1,116,73,0.007000," ","int(x^6/(3*x^4+2),x)","\frac{x^{3}}{9}-\frac{\sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}-1\right)}{108}-\frac{\sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}+1\right)}{108}-\frac{\sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}-\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}{x^{2}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}\right)}{216}"," ",0,"1/9*x^3-1/216*3^(1/2)*6^(3/4)*2^(1/2)*ln((x^2-1/3*3^(1/2)*6^(1/4)*x*2^(1/2)+1/3*6^(1/2))/(x^2+1/3*3^(1/2)*6^(1/4)*x*2^(1/2)+1/3*6^(1/2)))-1/108*3^(1/2)*6^(3/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x+1)-1/108*3^(1/2)*6^(3/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x-1)","A"
695,1,114,71,0.003000," ","int(x^4/(3*x^4+2),x)","\frac{x}{3}-\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}-1\right)}{36}-\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}+1\right)}{36}-\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}{x^{2}-\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}\right)}{72}"," ",0,"1/3*x-1/36*3^(1/2)*6^(1/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x-1)-1/72*3^(1/2)*6^(1/4)*2^(1/2)*ln((x^2+1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2))/(x^2-1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2)))-1/36*3^(1/2)*6^(1/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x+1)","A"
696,1,111,68,0.002000," ","int(x^2/(3*x^4+2),x)","\frac{\sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}-1\right)}{72}+\frac{\sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}+1\right)}{72}+\frac{\sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}-\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}{x^{2}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}\right)}{144}"," ",0,"1/72*3^(1/2)*6^(3/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x+1)+1/72*3^(1/2)*6^(3/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x-1)+1/144*3^(1/2)*6^(3/4)*2^(1/2)*ln((x^2-1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2))/(x^2+1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2)))","A"
697,1,111,68,0.002000," ","int(1/(3*x^4+2),x)","\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}-1\right)}{24}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}+1\right)}{24}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}{x^{2}-\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}\right)}{48}"," ",0,"1/48*3^(1/2)*6^(1/4)*2^(1/2)*ln((x^2+1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2))/(x^2-1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2)))+1/24*3^(1/2)*6^(1/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x-1)+1/24*3^(1/2)*6^(1/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x+1)","A"
698,1,116,85,0.006000," ","int(1/x^2/(3*x^4+2),x)","-\frac{\sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}-1\right)}{48}-\frac{\sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}+1\right)}{48}-\frac{\sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}-\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}{x^{2}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}\right)}{96}-\frac{1}{2 x}"," ",0,"-1/48*3^(1/2)*6^(3/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x-1)-1/96*3^(1/2)*6^(3/4)*2^(1/2)*ln((x^2-1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2))/(x^2+1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2)))-1/48*3^(1/2)*6^(3/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x+1)-1/2/x","A"
699,1,12,11,0.001000," ","int(x^3/(3*x^4+2)^2,x)","-\frac{1}{12 \left(3 x^{4}+2\right)}"," ",0,"-1/12/(3*x^4+2)","A"
700,1,30,29,0.007000," ","int(x/(3*x^4+2)^2,x)","\frac{x^{2}}{24 x^{4}+16}+\frac{\sqrt{6}\, \arctan \left(\frac{\sqrt{6}\, x^{2}}{2}\right)}{48}"," ",0,"1/8*x^2/(3*x^4+2)+1/48*6^(1/2)*arctan(1/2*6^(1/2)*x^2)","A"
701,1,27,26,0.013000," ","int(1/x/(3*x^4+2)^2,x)","\frac{\ln \left(x \right)}{4}-\frac{\ln \left(3 x^{4}+2\right)}{16}+\frac{1}{24 x^{4}+16}"," ",0,"1/8/(3*x^4+2)+1/4*ln(x)-1/16*ln(3*x^4+2)","A"
702,1,33,34,0.010000," ","int(1/x^3/(3*x^4+2)^2,x)","-\frac{x^{2}}{16 \left(x^{4}+\frac{2}{3}\right)}-\frac{3 \sqrt{6}\, \arctan \left(\frac{\sqrt{6}\, x^{2}}{2}\right)}{32}-\frac{1}{8 x^{2}}"," ",0,"-1/16*x^2/(x^4+2/3)-3/32*6^(1/2)*arctan(1/2*6^(1/2)*x^2)-1/8/x^2","A"
703,1,121,80,0.007000," ","int(x^4/(3*x^4+2)^2,x)","-\frac{x}{36 \left(x^{4}+\frac{2}{3}\right)}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}-1\right)}{288}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}+1\right)}{288}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}{x^{2}-\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}\right)}{576}"," ",0,"-1/36*x/(x^4+2/3)+1/288*3^(1/2)*6^(1/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x+1)+1/288*3^(1/2)*6^(1/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x-1)+1/576*3^(1/2)*6^(1/4)*2^(1/2)*ln((x^2+1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2))/(x^2-1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2)))","A"
704,1,125,82,0.005000," ","int(x^2/(3*x^4+2)^2,x)","\frac{x^{3}}{24 x^{4}+16}+\frac{\sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}-1\right)}{576}+\frac{\sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}+1\right)}{576}+\frac{\sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}-\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}{x^{2}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}\right)}{1152}"," ",0,"1/8*x^3/(3*x^4+2)+1/576*3^(1/2)*6^(3/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x-1)+1/1152*3^(1/2)*6^(3/4)*2^(1/2)*ln((x^2-1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2))/(x^2+1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2)))+1/576*3^(1/2)*6^(3/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x+1)","A"
705,1,123,92,0.004000," ","int(1/(3*x^4+2)^2,x)","\frac{x}{24 x^{4}+16}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}-1\right)}{64}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}+1\right)}{64}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}{x^{2}-\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}\right)}{128}"," ",0,"1/8*x/(3*x^4+2)+1/64*3^(1/2)*6^(1/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x-1)+1/128*3^(1/2)*6^(1/4)*2^(1/2)*ln((x^2+1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2))/(x^2-1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2)))+1/64*3^(1/2)*6^(1/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x+1)","A"
706,1,128,99,0.010000," ","int(1/x^2/(3*x^4+2)^2,x)","-\frac{x^{3}}{16 \left(x^{4}+\frac{2}{3}\right)}-\frac{5 \sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}-1\right)}{384}-\frac{5 \sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, \sqrt{3}\, 6^{\frac{3}{4}} x}{6}+1\right)}{384}-\frac{5 \sqrt{3}\, 6^{\frac{3}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}-\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}{x^{2}+\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{2}\, x}{3}+\frac{\sqrt{6}}{3}}\right)}{768}-\frac{1}{4 x}"," ",0,"-1/16*x^3/(x^4+2/3)-5/768*3^(1/2)*6^(3/4)*2^(1/2)*ln((x^2-1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2))/(x^2+1/3*3^(1/2)*6^(1/4)*2^(1/2)*x+1/3*6^(1/2)))-5/384*3^(1/2)*6^(3/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x+1)-5/384*3^(1/2)*6^(3/4)*2^(1/2)*arctan(1/6*2^(1/2)*3^(1/2)*6^(3/4)*x-1)-1/4/x","A"
707,1,85,90,0.003000," ","int(x^2/(x^4+3),x)","\frac{3^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, 3^{\frac{3}{4}} x}{3}-1\right)}{12}+\frac{3^{\frac{3}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, 3^{\frac{3}{4}} x}{3}+1\right)}{12}+\frac{3^{\frac{3}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}-3^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{3}}{x^{2}+3^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{3}}\right)}{24}"," ",0,"1/12*arctan(-1+1/3*x*2^(1/2)*3^(3/4))*3^(3/4)*2^(1/2)+1/24*3^(3/4)*2^(1/2)*ln((x^2-3^(1/4)*x*2^(1/2)+3^(1/2))/(x^2+3^(1/4)*x*2^(1/2)+3^(1/2)))+1/12*arctan(1+1/3*x*2^(1/2)*3^(3/4))*3^(3/4)*2^(1/2)","A"
708,1,170,63,0.010000," ","int(1/(1+a+(a-1)*x^4),x)","\frac{\left(\frac{a +1}{a -1}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a +1}{a -1}\right)^{\frac{1}{4}}}-1\right)}{4 a +4}+\frac{\left(\frac{a +1}{a -1}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a +1}{a -1}\right)^{\frac{1}{4}}}+1\right)}{4 a +4}+\frac{\left(\frac{a +1}{a -1}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\left(\frac{a +1}{a -1}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a +1}{a -1}}}{x^{2}-\left(\frac{a +1}{a -1}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a +1}{a -1}}}\right)}{8 a +8}"," ",0,"1/8*((a+1)/(a-1))^(1/4)/(a+1)*2^(1/2)*ln((x^2+((a+1)/(a-1))^(1/4)*x*2^(1/2)+((a+1)/(a-1))^(1/2))/(x^2-((a+1)/(a-1))^(1/4)*x*2^(1/2)+((a+1)/(a-1))^(1/2)))+1/4*((a+1)/(a-1))^(1/4)/(a+1)*2^(1/2)*arctan(2^(1/2)/((a+1)/(a-1))^(1/4)*x+1)+1/4*((a+1)/(a-1))^(1/4)/(a+1)*2^(1/2)*arctan(2^(1/2)/((a+1)/(a-1))^(1/4)*x-1)","B"
709,1,137,61,0.009000," ","int(1/(x^4+2*a+2*b),x)","\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(2 a +2 b \right)^{\frac{1}{4}}}-1\right)}{4 \left(2 a +2 b \right)^{\frac{3}{4}}}+\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(2 a +2 b \right)^{\frac{1}{4}}}+1\right)}{4 \left(2 a +2 b \right)^{\frac{3}{4}}}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}+\left(2 a +2 b \right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{2 a +2 b}}{x^{2}-\left(2 a +2 b \right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{2 a +2 b}}\right)}{8 \left(2 a +2 b \right)^{\frac{3}{4}}}"," ",0,"1/8/(2*a+2*b)^(3/4)*2^(1/2)*ln((x^2+(2*a+2*b)^(1/4)*x*2^(1/2)+(2*a+2*b)^(1/2))/(x^2-(2*a+2*b)^(1/4)*x*2^(1/2)+(2*a+2*b)^(1/2)))+1/4/(2*a+2*b)^(3/4)*2^(1/2)*arctan(2^(1/2)/(2*a+2*b)^(1/4)*x+1)+1/4/(2*a+2*b)^(3/4)*2^(1/2)*arctan(2^(1/2)/(2*a+2*b)^(1/4)*x-1)","B"
710,1,137,61,0.000000," ","int(1/(x^4+2*a+2*b),x)","\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(2 a +2 b \right)^{\frac{1}{4}}}-1\right)}{4 \left(2 a +2 b \right)^{\frac{3}{4}}}+\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(2 a +2 b \right)^{\frac{1}{4}}}+1\right)}{4 \left(2 a +2 b \right)^{\frac{3}{4}}}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}+\left(2 a +2 b \right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{2 a +2 b}}{x^{2}-\left(2 a +2 b \right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{2 a +2 b}}\right)}{8 \left(2 a +2 b \right)^{\frac{3}{4}}}"," ",0,"1/4/(2*a+2*b)^(3/4)*2^(1/2)*arctan(2^(1/2)/(2*a+2*b)^(1/4)*x-1)+1/4/(2*a+2*b)^(3/4)*2^(1/2)*arctan(2^(1/2)/(2*a+2*b)^(1/4)*x+1)+1/8/(2*a+2*b)^(3/4)*2^(1/2)*ln((x^2+(2*a+2*b)^(1/4)*2^(1/2)*x+(2*a+2*b)^(1/2))/(x^2-(2*a+2*b)^(1/4)*2^(1/2)*x+(2*a+2*b)^(1/2)))","B"
711,1,26,24,0.003000," ","int(x/(x^4+2*a+2*b),x)","\frac{\arctan \left(\frac{x^{2}}{\sqrt{2 a +2 b}}\right)}{2 \sqrt{2 a +2 b}}"," ",0,"1/2/(2*a+2*b)^(1/2)*arctan(x^2/(2*a+2*b)^(1/2))","A"
712,1,26,24,0.000000," ","int(x/(x^4+2*a+2*b),x)","\frac{\arctan \left(\frac{x^{2}}{\sqrt{2 a +2 b}}\right)}{2 \sqrt{2 a +2 b}}"," ",0,"1/2/(2*a+2*b)^(1/2)*arctan(1/(2*a+2*b)^(1/2)*x^2)","A"
713,1,137,61,0.003000," ","int(x^2/(x^4+2*a+2*b),x)","\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(2 a +2 b \right)^{\frac{1}{4}}}-1\right)}{4 \left(2 a +2 b \right)^{\frac{1}{4}}}+\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(2 a +2 b \right)^{\frac{1}{4}}}+1\right)}{4 \left(2 a +2 b \right)^{\frac{1}{4}}}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}-\left(2 a +2 b \right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{2 a +2 b}}{x^{2}+\left(2 a +2 b \right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{2 a +2 b}}\right)}{8 \left(2 a +2 b \right)^{\frac{1}{4}}}"," ",0,"1/8/(2*a+2*b)^(1/4)*2^(1/2)*ln((x^2-(2*a+2*b)^(1/4)*2^(1/2)*x+(2*a+2*b)^(1/2))/(x^2+(2*a+2*b)^(1/4)*2^(1/2)*x+(2*a+2*b)^(1/2)))+1/4/(2*a+2*b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(2*a+2*b)^(1/4)*x+1)+1/4/(2*a+2*b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(2*a+2*b)^(1/4)*x-1)","B"
714,1,137,61,0.000000," ","int(x^2/(x^4+2*a+2*b),x)","\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(2 a +2 b \right)^{\frac{1}{4}}}-1\right)}{4 \left(2 a +2 b \right)^{\frac{1}{4}}}+\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(2 a +2 b \right)^{\frac{1}{4}}}+1\right)}{4 \left(2 a +2 b \right)^{\frac{1}{4}}}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}-\left(2 a +2 b \right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{2 a +2 b}}{x^{2}+\left(2 a +2 b \right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{2 a +2 b}}\right)}{8 \left(2 a +2 b \right)^{\frac{1}{4}}}"," ",0,"1/4/(2*a+2*b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(2*a+2*b)^(1/4)*x-1)+1/4/(2*a+2*b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(2*a+2*b)^(1/4)*x+1)+1/8/(2*a+2*b)^(1/4)*2^(1/2)*ln((x^2-(2*a+2*b)^(1/4)*2^(1/2)*x+(2*a+2*b)^(1/2))/(x^2+(2*a+2*b)^(1/4)*2^(1/2)*x+(2*a+2*b)^(1/2)))","B"
715,1,14,13,0.002000," ","int(x^3/(x^4+2*a+2*b),x)","\frac{\ln \left(x^{4}+2 a +2 b \right)}{4}"," ",0,"1/4*ln(x^4+2*a+2*b)","A"
716,1,14,13,0.000000," ","int(x^3/(x^4+2*a+2*b),x)","\frac{\ln \left(x^{4}+2 a +2 b \right)}{4}"," ",0,"1/4*ln(x^4+2*a+2*b)","A"
717,1,16,13,0.003000," ","int(x^(5/2)*(c*x^4+a),x)","\frac{2 \left(7 c \,x^{4}+15 a \right) x^{\frac{7}{2}}}{105}"," ",0,"2/105*x^(7/2)*(7*c*x^4+15*a)","A"
718,1,16,13,0.004000," ","int(x^(3/2)*(c*x^4+a),x)","\frac{2 \left(5 c \,x^{4}+13 a \right) x^{\frac{5}{2}}}{65}"," ",0,"2/65*x^(5/2)*(5*c*x^4+13*a)","A"
719,1,16,13,0.003000," ","int((c*x^4+a)*x^(1/2),x)","\frac{2 \left(3 c \,x^{4}+11 a \right) x^{\frac{3}{2}}}{33}"," ",0,"2/33*x^(3/2)*(3*c*x^4+11*a)","A"
720,1,15,13,0.003000," ","int((c*x^4+a)/x^(1/2),x)","\frac{2 \left(c \,x^{4}+9 a \right) \sqrt{x}}{9}"," ",0,"2/9*x^(1/2)*(c*x^4+9*a)","A"
721,1,16,13,0.003000," ","int((c*x^4+a)/x^(3/2),x)","-\frac{2 \left(-c \,x^{4}+7 a \right)}{7 \sqrt{x}}"," ",0,"-2/7*(-c*x^4+7*a)/x^(1/2)","A"
722,1,16,13,0.003000," ","int((c*x^4+a)/x^(5/2),x)","-\frac{2 \left(-3 c \,x^{4}+5 a \right)}{15 x^{\frac{3}{2}}}"," ",0,"-2/15*(-3*c*x^4+5*a)/x^(3/2)","A"
723,1,16,13,0.002000," ","int((c*x^4+a)/x^(7/2),x)","-\frac{2 \left(-5 c \,x^{4}+3 a \right)}{15 x^{\frac{5}{2}}}"," ",0,"-2/15*(-5*c*x^4+3*a)/x^(5/2)","A"
724,1,27,24,0.006000," ","int(x^(5/2)*(c*x^4+a)^2,x)","\frac{2 \left(105 c^{2} x^{8}+322 a c \,x^{4}+345 a^{2}\right) x^{\frac{7}{2}}}{2415}"," ",0,"2/2415*x^(7/2)*(105*c^2*x^8+322*a*c*x^4+345*a^2)","A"
725,1,27,24,0.005000," ","int(x^(3/2)*(c*x^4+a)^2,x)","\frac{2 \left(65 c^{2} x^{8}+210 a c \,x^{4}+273 a^{2}\right) x^{\frac{5}{2}}}{1365}"," ",0,"2/1365*x^(5/2)*(65*c^2*x^8+210*a*c*x^4+273*a^2)","A"
726,1,27,24,0.006000," ","int((c*x^4+a)^2*x^(1/2),x)","\frac{2 \left(33 c^{2} x^{8}+114 a c \,x^{4}+209 a^{2}\right) x^{\frac{3}{2}}}{627}"," ",0,"2/627*x^(3/2)*(33*c^2*x^8+114*a*c*x^4+209*a^2)","A"
727,1,27,24,0.006000," ","int((c*x^4+a)^2/x^(1/2),x)","\frac{2 \left(9 c^{2} x^{8}+34 a c \,x^{4}+153 a^{2}\right) \sqrt{x}}{153}"," ",0,"2/153*x^(1/2)*(9*c^2*x^8+34*a*c*x^4+153*a^2)","A"
728,1,27,24,0.006000," ","int((c*x^4+a)^2/x^(3/2),x)","-\frac{2 \left(-7 c^{2} x^{8}-30 a c \,x^{4}+105 a^{2}\right)}{105 \sqrt{x}}"," ",0,"-2/105*(-7*c^2*x^8-30*a*c*x^4+105*a^2)/x^(1/2)","A"
729,1,27,24,0.005000," ","int((c*x^4+a)^2/x^(5/2),x)","-\frac{2 \left(-15 c^{2} x^{8}-78 a c \,x^{4}+65 a^{2}\right)}{195 x^{\frac{3}{2}}}"," ",0,"-2/195*(-15*c^2*x^8-78*a*c*x^4+65*a^2)/x^(3/2)","A"
730,1,27,24,0.007000," ","int((c*x^4+a)^2/x^(7/2),x)","-\frac{2 \left(-15 c^{2} x^{8}-110 a c \,x^{4}+33 a^{2}\right)}{165 x^{\frac{5}{2}}}"," ",0,"-2/165*(-15*c^2*x^8-110*a*c*x^4+33*a^2)/x^(5/2)","A"
731,1,38,35,0.007000," ","int(x^(5/2)*(c*x^4+a)^3,x)","\frac{2 \left(805 c^{3} x^{12}+3255 a \,c^{2} x^{8}+4991 a^{2} c \,x^{4}+3565 a^{3}\right) x^{\frac{7}{2}}}{24955}"," ",0,"2/24955*x^(7/2)*(805*c^3*x^12+3255*a*c^2*x^8+4991*a^2*c*x^4+3565*a^3)","A"
732,1,38,35,0.006000," ","int(x^(3/2)*(c*x^4+a)^3,x)","\frac{2 \left(455 c^{3} x^{12}+1885 a \,c^{2} x^{8}+3045 a^{2} c \,x^{4}+2639 a^{3}\right) x^{\frac{5}{2}}}{13195}"," ",0,"2/13195*x^(5/2)*(455*c^3*x^12+1885*a*c^2*x^8+3045*a^2*c*x^4+2639*a^3)","A"
733,1,38,35,0.006000," ","int((c*x^4+a)^3*x^(1/2),x)","\frac{2 \left(209 c^{3} x^{12}+891 a \,c^{2} x^{8}+1539 a^{2} c \,x^{4}+1881 a^{3}\right) x^{\frac{3}{2}}}{5643}"," ",0,"2/5643*x^(3/2)*(209*c^3*x^12+891*a*c^2*x^8+1539*a^2*c*x^4+1881*a^3)","A"
734,1,38,35,0.007000," ","int((c*x^4+a)^3/x^(1/2),x)","\frac{2 \left(51 c^{3} x^{12}+225 a \,c^{2} x^{8}+425 a^{2} c \,x^{4}+1275 a^{3}\right) \sqrt{x}}{1275}"," ",0,"2/1275*x^(1/2)*(51*c^3*x^12+225*a*c^2*x^8+425*a^2*c*x^4+1275*a^3)","A"
735,1,38,35,0.006000," ","int((c*x^4+a)^3/x^(3/2),x)","-\frac{2 \left(-35 c^{3} x^{12}-161 a \,c^{2} x^{8}-345 a^{2} c \,x^{4}+805 a^{3}\right)}{805 \sqrt{x}}"," ",0,"-2/805*(-35*c^3*x^12-161*a*c^2*x^8-345*a^2*c*x^4+805*a^3)/x^(1/2)","A"
736,1,38,35,0.008000," ","int((c*x^4+a)^3/x^(5/2),x)","-\frac{2 \left(-65 c^{3} x^{12}-315 a \,c^{2} x^{8}-819 a^{2} c \,x^{4}+455 a^{3}\right)}{1365 x^{\frac{3}{2}}}"," ",0,"-2/1365*(-65*c^3*x^12-315*a*c^2*x^8-819*a^2*c*x^4+455*a^3)/x^(3/2)","A"
737,1,38,35,0.006000," ","int((c*x^4+a)^3/x^(7/2),x)","-\frac{2 \left(-55 c^{3} x^{12}-285 a \,c^{2} x^{8}-1045 a^{2} c \,x^{4}+209 a^{3}\right)}{1045 x^{\frac{5}{2}}}"," ",0,"-2/1045*(-55*c^3*x^12-285*a*c^2*x^8-1045*a^2*c*x^4+209*a^3)/x^(5/2)","A"
738,1,39,198,0.032000," ","int(x^(9/2)/(c*x^4+a),x)","\frac{2 x^{\frac{3}{2}}}{3 c}-\frac{a \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{4 c^{2} \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{5}}"," ",0,"2/3*x^(3/2)/c-1/4*a/c^2*sum(1/_R^5*ln(x^(1/2)-_R),_R=RootOf(_Z^8*c+a))","C"
739,1,39,198,0.019000," ","int(x^(7/2)/(c*x^4+a),x)","-\frac{a \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{4 c^{2} \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{7}}+\frac{2 \sqrt{x}}{c}"," ",0,"2*x^(1/2)/c-1/4*a/c^2*sum(1/_R^7*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
740,1,29,190,0.017000," ","int(x^(5/2)/(c*x^4+a),x)","\frac{\ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{4 c \RootOf \left(c \,\textit{\_Z}^{8}+a \right)}"," ",0,"1/4/c*sum(1/_R*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
741,1,29,190,0.017000," ","int(x^(3/2)/(c*x^4+a),x)","\frac{\ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{4 c \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{3}}"," ",0,"1/4/c*sum(1/_R^3*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
742,1,29,190,0.007000," ","int(x^(1/2)/(c*x^4+a),x)","\frac{\ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{4 c \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{5}}"," ",0,"1/4/c*sum(1/_R^5*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
743,1,29,190,0.005000," ","int(1/(c*x^4+a)/x^(1/2),x)","\frac{\ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{4 c \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{7}}"," ",0,"1/4/c*sum(1/_R^7*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
744,1,38,198,0.010000," ","int(1/x^(3/2)/(c*x^4+a),x)","-\frac{\ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{4 a \RootOf \left(c \,\textit{\_Z}^{8}+a \right)}-\frac{2}{a \sqrt{x}}"," ",0,"-1/4/a*sum(1/_R*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))-2/a/x^(1/2)","C"
745,1,38,198,0.010000," ","int(1/x^(5/2)/(c*x^4+a),x)","-\frac{\ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{4 a \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{3}}-\frac{2}{3 a \,x^{\frac{3}{2}}}"," ",0,"-2/3/a/x^(3/2)-1/4/a*sum(1/_R^3*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
746,1,47,207,0.015000," ","int(x^(13/2)/(c*x^4+a)^2,x)","-\frac{x^{\frac{7}{2}}}{4 \left(c \,x^{4}+a \right) c}+\frac{7 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{32 c^{2} \RootOf \left(c \,\textit{\_Z}^{8}+a \right)}"," ",0,"-1/4*x^(7/2)/c/(c*x^4+a)+7/32/c^2*sum(1/_R*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
747,1,47,207,0.015000," ","int(x^(11/2)/(c*x^4+a)^2,x)","-\frac{x^{\frac{5}{2}}}{4 \left(c \,x^{4}+a \right) c}+\frac{5 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{32 c^{2} \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{3}}"," ",0,"-1/4*x^(5/2)/c/(c*x^4+a)+5/32/c^2*sum(1/_R^3*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
748,1,47,207,0.017000," ","int(x^(9/2)/(c*x^4+a)^2,x)","-\frac{x^{\frac{3}{2}}}{4 \left(c \,x^{4}+a \right) c}+\frac{3 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{32 c^{2} \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{5}}"," ",0,"-1/4*x^(3/2)/c/(c*x^4+a)+3/32/c^2*sum(1/_R^5*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
749,1,47,207,0.016000," ","int(x^(7/2)/(c*x^4+a)^2,x)","-\frac{\sqrt{x}}{4 \left(c \,x^{4}+a \right) c}+\frac{\ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{32 c^{2} \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{7}}"," ",0,"-1/4*x^(1/2)/c/(c*x^4+a)+1/32/c^2*sum(1/_R^7*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
750,1,50,207,0.014000," ","int(x^(5/2)/(c*x^4+a)^2,x)","\frac{x^{\frac{7}{2}}}{4 \left(c \,x^{4}+a \right) a}+\frac{\ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{32 a c \RootOf \left(c \,\textit{\_Z}^{8}+a \right)}"," ",0,"1/4*x^(7/2)/a/(c*x^4+a)+1/32/a/c*sum(1/_R*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
751,1,50,207,0.014000," ","int(x^(3/2)/(c*x^4+a)^2,x)","\frac{x^{\frac{5}{2}}}{4 \left(c \,x^{4}+a \right) a}+\frac{3 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{32 a c \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{3}}"," ",0,"1/4*x^(5/2)/a/(c*x^4+a)+3/32/a/c*sum(1/_R^3*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
752,1,50,207,0.013000," ","int(x^(1/2)/(c*x^4+a)^2,x)","\frac{x^{\frac{3}{2}}}{4 \left(c \,x^{4}+a \right) a}+\frac{5 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{32 a c \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{5}}"," ",0,"1/4*x^(3/2)/a/(c*x^4+a)+5/32/a/c*sum(1/_R^5*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
753,1,50,207,0.013000," ","int(1/(c*x^4+a)^2/x^(1/2),x)","\frac{\sqrt{x}}{4 \left(c \,x^{4}+a \right) a}+\frac{7 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{32 a c \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{7}}"," ",0,"1/4*x^(1/2)/a/(c*x^4+a)+7/32/a/c*sum(1/_R^7*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
754,1,56,215,0.018000," ","int(1/x^(3/2)/(c*x^4+a)^2,x)","-\frac{c \,x^{\frac{7}{2}}}{4 \left(c \,x^{4}+a \right) a^{2}}-\frac{9 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{32 a^{2} \RootOf \left(c \,\textit{\_Z}^{8}+a \right)}-\frac{2}{a^{2} \sqrt{x}}"," ",0,"-1/4/a^2*c*x^(7/2)/(c*x^4+a)-9/32/a^2*sum(1/_R*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))-2/a^2/x^(1/2)","C"
755,1,59,224,0.022000," ","int(x^(15/2)/(c*x^4+a)^3,x)","\frac{9 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{512 c^{3} \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{7}}+\frac{-\frac{17 x^{\frac{9}{2}}}{64 c}-\frac{9 a \sqrt{x}}{64 c^{2}}}{\left(c \,x^{4}+a \right)^{2}}"," ",0,"2*(-9/128*a/c^2*x^(1/2)-17/128/c*x^(9/2))/(c*x^4+a)^2+9/512/c^3*sum(1/_R^7*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
756,1,61,227,0.020000," ","int(x^(13/2)/(c*x^4+a)^3,x)","\frac{7 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{512 a \,c^{2} \RootOf \left(c \,\textit{\_Z}^{8}+a \right)}+\frac{\frac{7 x^{\frac{15}{2}}}{64 a}-\frac{x^{\frac{7}{2}}}{64 c}}{\left(c \,x^{4}+a \right)^{2}}"," ",0,"2*(-1/128/c*x^(7/2)+7/128/a*x^(15/2))/(c*x^4+a)^2+7/512/c^2/a*sum(1/_R*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
757,1,61,227,0.020000," ","int(x^(11/2)/(c*x^4+a)^3,x)","\frac{15 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{512 a \,c^{2} \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{3}}+\frac{\frac{5 x^{\frac{13}{2}}}{64 a}-\frac{3 x^{\frac{5}{2}}}{64 c}}{\left(c \,x^{4}+a \right)^{2}}"," ",0,"2*(-3/128/c*x^(5/2)+5/128/a*x^(13/2))/(c*x^4+a)^2+15/512/c^2/a*sum(1/_R^3*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
758,1,61,227,0.022000," ","int(x^(9/2)/(c*x^4+a)^3,x)","\frac{15 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{512 a \,c^{2} \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{5}}+\frac{\frac{3 x^{\frac{11}{2}}}{64 a}-\frac{5 x^{\frac{3}{2}}}{64 c}}{\left(c \,x^{4}+a \right)^{2}}"," ",0,"2*(-5/128/c*x^(3/2)+3/128/a*x^(11/2))/(c*x^4+a)^2+15/512/c^2/a*sum(1/_R^5*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
759,1,61,227,0.022000," ","int(x^(7/2)/(c*x^4+a)^3,x)","\frac{7 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{512 a \,c^{2} \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{7}}+\frac{\frac{x^{\frac{9}{2}}}{64 a}-\frac{7 \sqrt{x}}{64 c}}{\left(c \,x^{4}+a \right)^{2}}"," ",0,"2*(-7/128/c*x^(1/2)+1/128/a*x^(9/2))/(c*x^4+a)^2+7/512/c^2/a*sum(1/_R^7*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
760,1,62,224,0.022000," ","int(x^(5/2)/(c*x^4+a)^3,x)","\frac{9 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{512 a^{2} c \RootOf \left(c \,\textit{\_Z}^{8}+a \right)}+\frac{\frac{9 c \,x^{\frac{15}{2}}}{64 a^{2}}+\frac{17 x^{\frac{7}{2}}}{64 a}}{\left(c \,x^{4}+a \right)^{2}}"," ",0,"2*(17/128*x^(7/2)/a+9/128/a^2*c*x^(15/2))/(c*x^4+a)^2+9/512/a^2/c*sum(1/_R*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
761,1,62,224,0.020000," ","int(x^(3/2)/(c*x^4+a)^3,x)","\frac{33 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{512 a^{2} c \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{3}}+\frac{\frac{11 c \,x^{\frac{13}{2}}}{64 a^{2}}+\frac{19 x^{\frac{5}{2}}}{64 a}}{\left(c \,x^{4}+a \right)^{2}}"," ",0,"2*(19/128*x^(5/2)/a+11/128/a^2*c*x^(13/2))/(c*x^4+a)^2+33/512/a^2/c*sum(1/_R^3*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
762,1,62,224,0.021000," ","int(x^(1/2)/(c*x^4+a)^3,x)","\frac{65 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{512 a^{2} c \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{5}}+\frac{\frac{13 c \,x^{\frac{11}{2}}}{64 a^{2}}+\frac{21 x^{\frac{3}{2}}}{64 a}}{\left(c \,x^{4}+a \right)^{2}}"," ",0,"2*(21/128*x^(3/2)/a+13/128/a^2*c*x^(11/2))/(c*x^4+a)^2+65/512/a^2/c*sum(1/_R^5*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
763,1,62,224,0.020000," ","int(1/(c*x^4+a)^3/x^(1/2),x)","\frac{105 \ln \left(-\RootOf \left(c \,\textit{\_Z}^{8}+a \right)+\sqrt{x}\right)}{512 a^{2} c \RootOf \left(c \,\textit{\_Z}^{8}+a \right)^{7}}+\frac{\frac{15 c \,x^{\frac{9}{2}}}{64 a^{2}}+\frac{23 \sqrt{x}}{64 a}}{\left(c \,x^{4}+a \right)^{2}}"," ",0,"2*(23/128*x^(1/2)/a+15/128/a^2*c*x^(9/2))/(c*x^4+a)^2+105/512/a^2/c*sum(1/_R^7*ln(-_R+x^(1/2)),_R=RootOf(_Z^8*c+a))","C"
764,1,36,47,0.007000," ","int(x^11*(c*x^4+a)^(1/2),x)","\frac{\left(c \,x^{4}+a \right)^{\frac{3}{2}} \left(15 c^{2} x^{8}-12 a c \,x^{4}+8 a^{2}\right)}{210 c^{3}}"," ",0,"1/210*(c*x^4+a)^(3/2)*(15*c^2*x^8-12*a*c*x^4+8*a^2)/c^3","A"
765,1,25,30,0.005000," ","int(x^7*(c*x^4+a)^(1/2),x)","-\frac{\left(c \,x^{4}+a \right)^{\frac{3}{2}} \left(-3 c \,x^{4}+2 a \right)}{30 c^{2}}"," ",0,"-1/30*(c*x^4+a)^(3/2)*(-3*c*x^4+2*a)/c^2","A"
766,1,15,14,0.003000," ","int(x^3*(c*x^4+a)^(1/2),x)","\frac{\left(c \,x^{4}+a \right)^{\frac{3}{2}}}{6 c}"," ",0,"1/6*(c*x^4+a)^(3/2)/c","A"
767,1,41,31,0.013000," ","int((c*x^4+a)^(1/2)/x,x)","-\frac{\sqrt{a}\, \ln \left(\frac{2 a +2 \sqrt{c \,x^{4}+a}\, \sqrt{a}}{x^{2}}\right)}{2}+\frac{\sqrt{c \,x^{4}+a}}{2}"," ",0,"1/2*(c*x^4+a)^(1/2)-1/2*a^(1/2)*ln((2*a+2*a^(1/2)*(c*x^4+a)^(1/2))/x^2)","A"
768,1,63,35,0.011000," ","int((c*x^4+a)^(1/2)/x^5,x)","-\frac{c \ln \left(\frac{2 a +2 \sqrt{c \,x^{4}+a}\, \sqrt{a}}{x^{2}}\right)}{4 \sqrt{a}}+\frac{\sqrt{c \,x^{4}+a}\, c}{4 a}-\frac{\left(c \,x^{4}+a \right)^{\frac{3}{2}}}{4 a \,x^{4}}"," ",0,"-1/4/a/x^4*(c*x^4+a)^(3/2)-1/4*c/a^(1/2)*ln((2*a+2*(c*x^4+a)^(1/2)*a^(1/2))/x^2)+1/4*c/a*(c*x^4+a)^(1/2)","A"
769,1,85,55,0.014000," ","int((c*x^4+a)^(1/2)/x^9,x)","\frac{c^{2} \ln \left(\frac{2 a +2 \sqrt{c \,x^{4}+a}\, \sqrt{a}}{x^{2}}\right)}{16 a^{\frac{3}{2}}}-\frac{\sqrt{c \,x^{4}+a}\, c^{2}}{16 a^{2}}+\frac{\left(c \,x^{4}+a \right)^{\frac{3}{2}} c}{16 a^{2} x^{4}}-\frac{\left(c \,x^{4}+a \right)^{\frac{3}{2}}}{8 a \,x^{8}}"," ",0,"-1/8/a/x^8*(c*x^4+a)^(3/2)+1/16*c/a^2/x^4*(c*x^4+a)^(3/2)+1/16*c^2/a^(3/2)*ln((2*a+2*(c*x^4+a)^(1/2)*a^(1/2))/x^2)-1/16*c^2/a^2*(c*x^4+a)^(1/2)","A"
770,1,63,58,0.013000," ","int(x^5*(c*x^4+a)^(1/2),x)","-\frac{\sqrt{c \,x^{4}+a}\, a \,x^{2}}{16 c}-\frac{a^{2} \ln \left(\sqrt{c}\, x^{2}+\sqrt{c \,x^{4}+a}\right)}{16 c^{\frac{3}{2}}}+\frac{\left(c \,x^{4}+a \right)^{\frac{3}{2}} x^{2}}{8 c}"," ",0,"1/8*x^2*(c*x^4+a)^(3/2)/c-1/16*a*x^2*(c*x^4+a)^(1/2)/c-1/16*a^2/c^(3/2)*ln(x^2*c^(1/2)+(c*x^4+a)^(1/2))","A"
771,1,40,38,0.009000," ","int(x*(c*x^4+a)^(1/2),x)","\frac{\sqrt{c \,x^{4}+a}\, x^{2}}{4}+\frac{a \ln \left(\sqrt{c}\, x^{2}+\sqrt{c \,x^{4}+a}\right)}{4 \sqrt{c}}"," ",0,"1/4*x^2*(c*x^4+a)^(1/2)+1/4*a/c^(1/2)*ln(c^(1/2)*x^2+(c*x^4+a)^(1/2))","A"
772,1,60,37,0.010000," ","int((c*x^4+a)^(1/2)/x^3,x)","\frac{\sqrt{c \,x^{4}+a}\, c \,x^{2}}{2 a}+\frac{\sqrt{c}\, \ln \left(\sqrt{c}\, x^{2}+\sqrt{c \,x^{4}+a}\right)}{2}-\frac{\left(c \,x^{4}+a \right)^{\frac{3}{2}}}{2 a \,x^{2}}"," ",0,"-1/2/a/x^2*(c*x^4+a)^(3/2)+1/2*c/a*x^2*(c*x^4+a)^(1/2)+1/2*c^(1/2)*ln(c^(1/2)*x^2+(c*x^4+a)^(1/2))","A"
773,1,18,17,0.003000," ","int((c*x^4+a)^(1/2)/x^7,x)","-\frac{\left(c \,x^{4}+a \right)^{\frac{3}{2}}}{6 a \,x^{6}}"," ",0,"-1/6*(c*x^4+a)^(3/2)/x^6/a","A"
774,1,28,36,0.004000," ","int((c*x^4+a)^(1/2)/x^11,x)","-\frac{\left(c \,x^{4}+a \right)^{\frac{3}{2}} \left(-2 c \,x^{4}+3 a \right)}{30 a^{2} x^{10}}"," ",0,"-1/30*(c*x^4+a)^(3/2)*(-2*c*x^4+3*a)/x^10/a^2","A"
775,1,39,56,0.004000," ","int((c*x^4+a)^(1/2)/x^15,x)","-\frac{\left(c \,x^{4}+a \right)^{\frac{3}{2}} \left(8 c^{2} x^{8}-12 a c \,x^{4}+15 a^{2}\right)}{210 a^{3} x^{14}}"," ",0,"-1/210*(c*x^4+a)^(3/2)*(8*c^2*x^8-12*a*c*x^4+15*a^2)/x^14/a^3","A"
776,1,108,130,0.048000," ","int(x^4*(c*x^4+a)^(1/2),x)","\frac{\sqrt{c \,x^{4}+a}\, x^{5}}{7}-\frac{2 \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, a^{2} \EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)}{21 \sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}\, c}+\frac{2 \sqrt{c \,x^{4}+a}\, a x}{21 c}"," ",0,"1/7*x^5*(c*x^4+a)^(1/2)+2/21*a*x*(c*x^4+a)^(1/2)/c-2/21*a^2/c/(I/a^(1/2)*c^(1/2))^(1/2)*(1-I/a^(1/2)*c^(1/2)*x^2)^(1/2)*(1+I/a^(1/2)*c^(1/2)*x^2)^(1/2)/(c*x^4+a)^(1/2)*EllipticF(x*(I/a^(1/2)*c^(1/2))^(1/2),I)","C"
777,1,85,112,0.006000," ","int((c*x^4+a)^(1/2),x)","\frac{2 \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, a \EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)}{3 \sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}}+\frac{\sqrt{c \,x^{4}+a}\, x}{3}"," ",0,"1/3*x*(c*x^4+a)^(1/2)+2/3*a/(I/a^(1/2)*c^(1/2))^(1/2)*(-I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)/(c*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*c^(1/2))^(1/2)*x,I)","C"
778,1,87,114,0.013000," ","int((c*x^4+a)^(1/2)/x^4,x)","\frac{2 \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, c \EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)}{3 \sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}}-\frac{\sqrt{c \,x^{4}+a}}{3 x^{3}}"," ",0,"-1/3*(c*x^4+a)^(1/2)/x^3+2/3*c/(I/a^(1/2)*c^(1/2))^(1/2)*(-I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)/(c*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*c^(1/2))^(1/2)*x,I)","C"
779,1,110,132,0.016000," ","int((c*x^4+a)^(1/2)/x^8,x)","-\frac{2 \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, c^{2} \EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)}{21 \sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}\, a}-\frac{2 \sqrt{c \,x^{4}+a}\, c}{21 a \,x^{3}}-\frac{\sqrt{c \,x^{4}+a}}{7 x^{7}}"," ",0,"-1/7*(c*x^4+a)^(1/2)/x^7-2/21*c*(c*x^4+a)^(1/2)/a/x^3-2/21*c^2/a/(I/a^(1/2)*c^(1/2))^(1/2)*(-I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)/(c*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*c^(1/2))^(1/2)*x,I)","C"
780,1,112,242,0.008000," ","int((c*x^4+a)^(1/2)*x^2,x)","\frac{\sqrt{c \,x^{4}+a}\, x^{3}}{5}+\frac{2 i \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)\right) a^{\frac{3}{2}}}{5 \sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}\, \sqrt{c}}"," ",0,"1/5*x^3*(c*x^4+a)^(1/2)+2/5*I*a^(3/2)/(I/a^(1/2)*c^(1/2))^(1/2)*(-I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)/(c*x^4+a)^(1/2)/c^(1/2)*(EllipticF((I/a^(1/2)*c^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*c^(1/2))^(1/2)*x,I))","C"
781,1,112,240,0.010000," ","int((c*x^4+a)^(1/2)/x^2,x)","\frac{2 i \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)\right) \sqrt{a}\, \sqrt{c}}{\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}}-\frac{\sqrt{c \,x^{4}+a}}{x}"," ",0,"-(c*x^4+a)^(1/2)/x+2*I*c^(1/2)*a^(1/2)/(I/a^(1/2)*c^(1/2))^(1/2)*(-I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)/(c*x^4+a)^(1/2)*(EllipticF((I/a^(1/2)*c^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*c^(1/2))^(1/2)*x,I))","C"
782,1,130,262,0.014000," ","int((c*x^4+a)^(1/2)/x^6,x)","\frac{2 i \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)\right) c^{\frac{3}{2}}}{5 \sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}\, \sqrt{a}}-\frac{2 \sqrt{c \,x^{4}+a}\, c}{5 a x}-\frac{\sqrt{c \,x^{4}+a}}{5 x^{5}}"," ",0,"-1/5*(c*x^4+a)^(1/2)/x^5-2/5*c*(c*x^4+a)^(1/2)/a/x+2/5*I*c^(3/2)/a^(1/2)/(I/a^(1/2)*c^(1/2))^(1/2)*(-I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)/(c*x^4+a)^(1/2)*(EllipticF((I/a^(1/2)*c^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*c^(1/2))^(1/2)*x,I))","C"
783,1,36,47,0.007000," ","int(x^11*(c*x^4+a)^(3/2),x)","\frac{\left(c \,x^{4}+a \right)^{\frac{5}{2}} \left(35 c^{2} x^{8}-20 a c \,x^{4}+8 a^{2}\right)}{630 c^{3}}"," ",0,"1/630*(c*x^4+a)^(5/2)*(35*c^2*x^8-20*a*c*x^4+8*a^2)/c^3","A"
784,1,25,30,0.004000," ","int(x^7*(c*x^4+a)^(3/2),x)","-\frac{\left(c \,x^{4}+a \right)^{\frac{5}{2}} \left(-5 c \,x^{4}+2 a \right)}{70 c^{2}}"," ",0,"-1/70*(c*x^4+a)^(5/2)*(-5*c*x^4+2*a)/c^2","A"
785,1,15,14,0.005000," ","int(x^3*(c*x^4+a)^(3/2),x)","\frac{\left(c \,x^{4}+a \right)^{\frac{5}{2}}}{10 c}"," ",0,"1/10*(c*x^4+a)^(5/2)/c","A"
786,1,57,43,0.016000," ","int((c*x^4+a)^(3/2)/x,x)","\frac{\sqrt{c \,x^{4}+a}\, c \,x^{4}}{6}-\frac{a^{\frac{3}{2}} \ln \left(\frac{2 a +2 \sqrt{c \,x^{4}+a}\, \sqrt{a}}{x^{2}}\right)}{2}+\frac{2 \sqrt{c \,x^{4}+a}\, a}{3}"," ",0,"1/6*c*x^4*(c*x^4+a)^(1/2)+2/3*a*(c*x^4+a)^(1/2)-1/2*a^(3/2)*ln((2*a+2*(c*x^4+a)^(1/2)*a^(1/2))/x^2)","A"
787,1,58,47,0.016000," ","int((c*x^4+a)^(3/2)/x^5,x)","-\frac{3 \sqrt{a}\, c \ln \left(\frac{2 a +2 \sqrt{c \,x^{4}+a}\, \sqrt{a}}{x^{2}}\right)}{4}+\frac{\sqrt{c \,x^{4}+a}\, c}{2}-\frac{\sqrt{c \,x^{4}+a}\, a}{4 x^{4}}"," ",0,"1/2*c*(c*x^4+a)^(1/2)-1/4*a/x^4*(c*x^4+a)^(1/2)-3/4*a^(1/2)*c*ln((2*a+2*(c*x^4+a)^(1/2)*a^(1/2))/x^2)","A"
788,1,63,52,0.017000," ","int((c*x^4+a)^(3/2)/x^9,x)","-\frac{3 c^{2} \ln \left(\frac{2 a +2 \sqrt{c \,x^{4}+a}\, \sqrt{a}}{x^{2}}\right)}{16 \sqrt{a}}-\frac{5 \sqrt{c \,x^{4}+a}\, c}{16 x^{4}}-\frac{\sqrt{c \,x^{4}+a}\, a}{8 x^{8}}"," ",0,"-5/16*c*(c*x^4+a)^(1/2)/x^4-3/16*c^2/a^(1/2)*ln((2*a+2*(c*x^4+a)^(1/2)*a^(1/2))/x^2)-1/8*a/x^8*(c*x^4+a)^(1/2)","A"
789,1,78,75,0.020000," ","int(x^5*(c*x^4+a)^(3/2),x)","\frac{\sqrt{c \,x^{4}+a}\, c \,x^{10}}{12}+\frac{7 \sqrt{c \,x^{4}+a}\, a \,x^{6}}{48}+\frac{\sqrt{c \,x^{4}+a}\, a^{2} x^{2}}{32 c}-\frac{a^{3} \ln \left(\sqrt{c}\, x^{2}+\sqrt{c \,x^{4}+a}\right)}{32 c^{\frac{3}{2}}}"," ",0,"1/12*c*x^10*(c*x^4+a)^(1/2)+7/48*a*x^6*(c*x^4+a)^(1/2)+1/32*a^2*x^2*(c*x^4+a)^(1/2)/c-1/32/c^(3/2)*a^3*ln(c^(1/2)*x^2+(c*x^4+a)^(1/2))","A"
790,1,58,55,0.011000," ","int(x*(c*x^4+a)^(3/2),x)","\frac{\sqrt{c \,x^{4}+a}\, c \,x^{6}}{8}+\frac{5 \sqrt{c \,x^{4}+a}\, a \,x^{2}}{16}+\frac{3 a^{2} \ln \left(\sqrt{c}\, x^{2}+\sqrt{c \,x^{4}+a}\right)}{16 \sqrt{c}}"," ",0,"1/8*c*x^6*(c*x^4+a)^(1/2)+5/16*a*x^2*(c*x^4+a)^(1/2)+3/16*a^2*ln(c^(1/2)*x^2+(c*x^4+a)^(1/2))/c^(1/2)","A"
791,1,56,53,0.016000," ","int((c*x^4+a)^(3/2)/x^3,x)","\frac{\sqrt{c \,x^{4}+a}\, c \,x^{2}}{4}+\frac{3 a \sqrt{c}\, \ln \left(\sqrt{c}\, x^{2}+\sqrt{c \,x^{4}+a}\right)}{4}-\frac{\sqrt{c \,x^{4}+a}\, a}{2 x^{2}}"," ",0,"1/4*c*x^2*(c*x^4+a)^(1/2)+3/4*a*c^(1/2)*ln(c^(1/2)*x^2+(c*x^4+a)^(1/2))-1/2*a/x^2*(c*x^4+a)^(1/2)","A"
792,1,55,52,0.017000," ","int((c*x^4+a)^(3/2)/x^7,x)","\frac{c^{\frac{3}{2}} \ln \left(\sqrt{c}\, x^{2}+\sqrt{c \,x^{4}+a}\right)}{2}-\frac{2 \sqrt{c \,x^{4}+a}\, c}{3 x^{2}}-\frac{\sqrt{c \,x^{4}+a}\, a}{6 x^{6}}"," ",0,"1/2*c^(3/2)*ln(c^(1/2)*x^2+(c*x^4+a)^(1/2))-1/6*a/x^6*(c*x^4+a)^(1/2)-2/3*c*(c*x^4+a)^(1/2)/x^2","A"
793,1,18,17,0.005000," ","int((c*x^4+a)^(3/2)/x^11,x)","-\frac{\left(c \,x^{4}+a \right)^{\frac{5}{2}}}{10 a \,x^{10}}"," ",0,"-1/10*(c*x^4+a)^(5/2)/a/x^10","A"
794,1,28,36,0.005000," ","int((c*x^4+a)^(3/2)/x^15,x)","-\frac{\left(c \,x^{4}+a \right)^{\frac{5}{2}} \left(-2 c \,x^{4}+5 a \right)}{70 a^{2} x^{14}}"," ",0,"-1/70*(c*x^4+a)^(5/2)*(-2*c*x^4+5*a)/x^14/a^2","A"
795,1,39,56,0.006000," ","int((c*x^4+a)^(3/2)/x^19,x)","-\frac{\left(c \,x^{4}+a \right)^{\frac{5}{2}} \left(8 c^{2} x^{8}-20 a c \,x^{4}+35 a^{2}\right)}{630 a^{3} x^{18}}"," ",0,"-1/630*(c*x^4+a)^(5/2)*(8*c^2*x^8-20*a*c*x^4+35*a^2)/x^18/a^3","A"
796,1,126,147,0.010000," ","int(x^4*(c*x^4+a)^(3/2),x)","\frac{\sqrt{c \,x^{4}+a}\, c \,x^{9}}{11}+\frac{13 \sqrt{c \,x^{4}+a}\, a \,x^{5}}{77}-\frac{4 \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, a^{3} \EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)}{77 \sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}\, c}+\frac{4 \sqrt{c \,x^{4}+a}\, a^{2} x}{77 c}"," ",0,"1/11*c*x^9*(c*x^4+a)^(1/2)+13/77*a*x^5*(c*x^4+a)^(1/2)+4/77*a^2*x*(c*x^4+a)^(1/2)/c-4/77*a^3/c/(I/a^(1/2)*c^(1/2))^(1/2)*(-I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)/(c*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*c^(1/2))^(1/2)*x,I)","C"
797,1,103,125,0.005000," ","int((c*x^4+a)^(3/2),x)","\frac{\sqrt{c \,x^{4}+a}\, c \,x^{5}}{7}+\frac{4 \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, a^{2} \EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)}{7 \sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}}+\frac{3 \sqrt{c \,x^{4}+a}\, a x}{7}"," ",0,"1/7*c*x^5*(c*x^4+a)^(1/2)+3/7*a*x*(c*x^4+a)^(1/2)+4/7*a^2/(I/a^(1/2)*c^(1/2))^(1/2)*(-I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)/(c*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*c^(1/2))^(1/2)*x,I)","C"
798,1,102,127,0.013000," ","int((c*x^4+a)^(3/2)/x^4,x)","\frac{4 \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, a c \EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)}{3 \sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}}+\frac{\sqrt{c \,x^{4}+a}\, c x}{3}-\frac{\sqrt{c \,x^{4}+a}\, a}{3 x^{3}}"," ",0,"-1/3*a*(c*x^4+a)^(1/2)/x^3+1/3*c*x*(c*x^4+a)^(1/2)+4/3*a*c/(I/a^(1/2)*c^(1/2))^(1/2)*(-I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)/(c*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*c^(1/2))^(1/2)*x,I)","C"
799,1,105,129,0.014000," ","int((c*x^4+a)^(3/2)/x^8,x)","\frac{4 \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, c^{2} \EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)}{7 \sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}}-\frac{3 \sqrt{c \,x^{4}+a}\, c}{7 x^{3}}-\frac{\sqrt{c \,x^{4}+a}\, a}{7 x^{7}}"," ",0,"-1/7*a*(c*x^4+a)^(1/2)/x^7-3/7*c*(c*x^4+a)^(1/2)/x^3+4/7*c^2/(I/a^(1/2)*c^(1/2))^(1/2)*(-I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)/(c*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*c^(1/2))^(1/2)*x,I)","C"
800,1,128,259,0.009000," ","int(x^2*(c*x^4+a)^(3/2),x)","\frac{\sqrt{c \,x^{4}+a}\, c \,x^{7}}{9}+\frac{11 \sqrt{c \,x^{4}+a}\, a \,x^{3}}{45}+\frac{4 i \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)\right) a^{\frac{5}{2}}}{15 \sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}\, \sqrt{c}}"," ",0,"1/9*c*x^7*(c*x^4+a)^(1/2)+11/45*a*x^3*(c*x^4+a)^(1/2)+4/15*I*a^(5/2)/(I/a^(1/2)*c^(1/2))^(1/2)*(-I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)/(c*x^4+a)^(1/2)/c^(1/2)*(EllipticF((I/a^(1/2)*c^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*c^(1/2))^(1/2)*x,I))","C"
801,1,128,257,0.013000," ","int((c*x^4+a)^(3/2)/x^2,x)","\frac{\sqrt{c \,x^{4}+a}\, c \,x^{3}}{5}+\frac{12 i \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)\right) a^{\frac{3}{2}} \sqrt{c}}{5 \sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}}-\frac{\sqrt{c \,x^{4}+a}\, a}{x}"," ",0,"-a*(c*x^4+a)^(1/2)/x+1/5*c*x^3*(c*x^4+a)^(1/2)+12/5*I*a^(3/2)*c^(1/2)/(I/a^(1/2)*c^(1/2))^(1/2)*(-I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)/(c*x^4+a)^(1/2)*(EllipticF((I/a^(1/2)*c^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*c^(1/2))^(1/2)*x,I))","C"
802,1,128,256,0.016000," ","int((c*x^4+a)^(3/2)/x^6,x)","\frac{12 i \sqrt{-\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{c}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, x , i\right)\right) \sqrt{a}\, c^{\frac{3}{2}}}{5 \sqrt{\frac{i \sqrt{c}}{\sqrt{a}}}\, \sqrt{c \,x^{4}+a}}-\frac{7 \sqrt{c \,x^{4}+a}\, c}{5 x}-\frac{\sqrt{c \,x^{4}+a}\, a}{5 x^{5}}"," ",0,"-1/5*a*(c*x^4+a)^(1/2)/x^5-7/5*c*(c*x^4+a)^(1/2)/x+12/5*I*c^(3/2)*a^(1/2)/(I/a^(1/2)*c^(1/2))^(1/2)*(-I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*c^(1/2)*x^2+1)^(1/2)/(c*x^4+a)^(1/2)*(EllipticF((I/a^(1/2)*c^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*c^(1/2))^(1/2)*x,I))","C"
803,1,84,77,0.046000," ","int((x^4+1)^(3/2),x)","\frac{\sqrt{x^{4}+1}\, x^{5}}{7}+\frac{3 \sqrt{x^{4}+1}\, x}{7}+\frac{4 \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{7 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"1/7*x^5*(x^4+1)^(1/2)+3/7*x*(x^4+1)^(1/2)+4/7/(1/2*2^(1/2)+1/2*I*2^(1/2))*(1-I*x^2)^(1/2)*(1+I*x^2)^(1/2)/(x^4+1)^(1/2)*EllipticF(x*(1/2*2^(1/2)+1/2*I*2^(1/2)),I)","C"
804,1,59,31,0.007000," ","int((-x^4+1)^(3/2),x)","-\frac{\sqrt{-x^{4}+1}\, x^{5}}{7}+\frac{3 \sqrt{-x^{4}+1}\, x}{7}+\frac{4 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{7 \sqrt{-x^{4}+1}}"," ",0,"-1/7*x^5*(-x^4+1)^(1/2)+3/7*x*(-x^4+1)^(1/2)+4/7*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","A"
805,1,19,23,0.003000," ","int(x^7*(3*x^4+5)^(1/2),x)","\frac{\left(3 x^{4}+5\right)^{\frac{3}{2}} \left(9 x^{4}-10\right)}{270}"," ",0,"1/270*(3*x^4+5)^(3/2)*(9*x^4-10)","A"
806,1,10,9,0.005000," ","int(x^3*(x^4+5)^(1/2),x)","\frac{\left(x^{4}+5\right)^{\frac{3}{2}}}{6}"," ",0,"1/6*(x^4+5)^(3/2)","A"
807,1,30,29,0.009000," ","int(x*(2*x^4+3)^(1/2),x)","\frac{\sqrt{2 x^{4}+3}\, x^{2}}{4}+\frac{3 \sqrt{2}\, \arcsinh \left(\frac{\sqrt{6}\, x^{2}}{3}\right)}{8}"," ",0,"3/8*arcsinh(1/3*6^(1/2)*x^2)*2^(1/2)+1/4*x^2*(2*x^4+3)^(1/2)","A"
808,1,28,27,0.008000," ","int(x*(x^4-2)^(1/2),x)","\frac{\sqrt{x^{4}-2}\, x^{2}}{4}-\frac{\ln \left(x^{2}+\sqrt{x^{4}-2}\right)}{2}"," ",0,"1/4*x^2*(x^4-2)^(1/2)-1/2*ln(x^2+(x^4-2)^(1/2))","A"
809,1,72,67,0.006000," ","int((x^4+1)^(1/2),x)","\frac{\sqrt{x^{4}+1}\, x}{3}+\frac{2 \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{3 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"1/3*(x^4+1)^(1/2)*x+2/3/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)","C"
810,1,45,19,0.006000," ","int((-x^4+1)^(1/2),x)","\frac{\sqrt{-x^{4}+1}\, x}{3}+\frac{2 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{3 \sqrt{-x^{4}+1}}"," ",0,"1/3*(-x^4+1)^(1/2)*x+2/3*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","B"
811,1,36,47,0.007000," ","int(x^11/(b*x^4+a)^(1/2),x)","\frac{\sqrt{b \,x^{4}+a}\, \left(3 b^{2} x^{8}-4 a b \,x^{4}+8 a^{2}\right)}{30 b^{3}}"," ",0,"1/30*(b*x^4+a)^(1/2)*(3*b^2*x^8-4*a*b*x^4+8*a^2)/b^3","A"
812,1,25,30,0.007000," ","int(x^7/(b*x^4+a)^(1/2),x)","-\frac{\sqrt{b \,x^{4}+a}\, \left(-b \,x^{4}+2 a \right)}{6 b^{2}}"," ",0,"-1/6*(b*x^4+a)^(1/2)*(-b*x^4+2*a)/b^2","A"
813,1,15,14,0.003000," ","int(x^3/(b*x^4+a)^(1/2),x)","\frac{\sqrt{b \,x^{4}+a}}{2 b}"," ",0,"1/2*(b*x^4+a)^(1/2)/b","A"
814,1,29,19,0.013000," ","int(1/x/(b*x^4+a)^(1/2),x)","-\frac{\ln \left(\frac{2 a +2 \sqrt{b \,x^{4}+a}\, \sqrt{a}}{x^{2}}\right)}{2 \sqrt{a}}"," ",0,"-1/2/a^(1/2)*ln((2*a+2*a^(1/2)*(b*x^4+a)^(1/2))/x^2)","A"
815,1,48,38,0.013000," ","int(1/x^5/(b*x^4+a)^(1/2),x)","\frac{b \ln \left(\frac{2 a +2 \sqrt{b \,x^{4}+a}\, \sqrt{a}}{x^{2}}\right)}{4 a^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{4}+a}}{4 a \,x^{4}}"," ",0,"-1/4*(b*x^4+a)^(1/2)/a/x^4+1/4*b/a^(3/2)*ln((2*a+2*(b*x^4+a)^(1/2)*a^(1/2))/x^2)","A"
816,1,43,41,0.012000," ","int(x^5/(b*x^4+a)^(1/2),x)","\frac{\sqrt{b \,x^{4}+a}\, x^{2}}{4 b}-\frac{a \ln \left(\sqrt{b}\, x^{2}+\sqrt{b \,x^{4}+a}\right)}{4 b^{\frac{3}{2}}}"," ",0,"1/4*x^2*(b*x^4+a)^(1/2)/b-1/4*a/b^(3/2)*ln(x^2*b^(1/2)+(b*x^4+a)^(1/2))","A"
817,1,24,22,0.007000," ","int(x/(b*x^4+a)^(1/2),x)","\frac{\ln \left(\sqrt{b}\, x^{2}+\sqrt{b \,x^{4}+a}\right)}{2 \sqrt{b}}"," ",0,"1/2*ln(b^(1/2)*x^2+(b*x^4+a)^(1/2))/b^(1/2)","A"
818,1,18,17,0.004000," ","int(1/x^3/(b*x^4+a)^(1/2),x)","-\frac{\sqrt{b \,x^{4}+a}}{2 a \,x^{2}}"," ",0,"-1/2*(b*x^4+a)^(1/2)/a/x^2","A"
819,1,26,36,0.006000," ","int(1/x^7/(b*x^4+a)^(1/2),x)","-\frac{\sqrt{b \,x^{4}+a}\, \left(-2 b \,x^{4}+a \right)}{6 a^{2} x^{6}}"," ",0,"-1/6*(b*x^4+a)^(1/2)*(-2*b*x^4+a)/a^2/x^6","A"
820,1,39,56,0.006000," ","int(1/x^11/(b*x^4+a)^(1/2),x)","-\frac{\sqrt{b \,x^{4}+a}\, \left(8 b^{2} x^{8}-4 a b \,x^{4}+3 a^{2}\right)}{30 a^{3} x^{10}}"," ",0,"-1/30*(b*x^4+a)^(1/2)*(8*b^2*x^8-4*a*b*x^4+3*a^2)/x^10/a^3","A"
821,1,111,133,0.046000," ","int(x^8/(b*x^4+a)^(1/2),x)","\frac{\sqrt{b \,x^{4}+a}\, x^{5}}{7 b}+\frac{5 \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, a^{2} \EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)}{21 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, b^{2}}-\frac{5 \sqrt{b \,x^{4}+a}\, a x}{21 b^{2}}"," ",0,"1/7*x^5*(b*x^4+a)^(1/2)/b-5/21*a*x*(b*x^4+a)^(1/2)/b^2+5/21*a^2/b^2/(I/a^(1/2)*b^(1/2))^(1/2)*(1-I/a^(1/2)*b^(1/2)*x^2)^(1/2)*(1+I/a^(1/2)*b^(1/2)*x^2)^(1/2)/(b*x^4+a)^(1/2)*EllipticF(x*(I/a^(1/2)*b^(1/2))^(1/2),I)","C"
822,1,91,115,0.010000," ","int(x^4/(b*x^4+a)^(1/2),x)","-\frac{\sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, a \EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)}{3 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, b}+\frac{\sqrt{b \,x^{4}+a}\, x}{3 b}"," ",0,"1/3*x*(b*x^4+a)^(1/2)/b-1/3*a/b/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)","C"
823,1,70,99,0.005000," ","int(1/(b*x^4+a)^(1/2),x)","\frac{\sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)}{\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}}"," ",0,"1/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)","C"
824,1,93,117,0.011000," ","int(1/x^4/(b*x^4+a)^(1/2),x)","-\frac{\sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, b \EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)}{3 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, a}-\frac{\sqrt{b \,x^{4}+a}}{3 a \,x^{3}}"," ",0,"-1/3*(b*x^4+a)^(1/2)/a/x^3-1/3/a*b/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)","C"
825,1,113,135,0.015000," ","int(1/x^8/(b*x^4+a)^(1/2),x)","\frac{5 \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, b^{2} \EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)}{21 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, a^{2}}+\frac{5 \sqrt{b \,x^{4}+a}\, b}{21 a^{2} x^{3}}-\frac{\sqrt{b \,x^{4}+a}}{7 a \,x^{7}}"," ",0,"-1/7*(b*x^4+a)^(1/2)/a/x^7+5/21*b*(b*x^4+a)^(1/2)/a^2/x^3+5/21/a^2*b^2/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)","C"
826,1,133,265,0.010000," ","int(x^10/(b*x^4+a)^(1/2),x)","\frac{\sqrt{b \,x^{4}+a}\, x^{7}}{9 b}-\frac{7 \sqrt{b \,x^{4}+a}\, a \,x^{3}}{45 b^{2}}+\frac{7 i \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) a^{\frac{5}{2}}}{15 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, b^{\frac{5}{2}}}"," ",0,"1/9*x^7*(b*x^4+a)^(1/2)/b-7/45*a*x^3*(b*x^4+a)^(1/2)/b^2+7/15*I*a^(5/2)/b^(5/2)/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*(EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*b^(1/2))^(1/2)*x,I))","C"
827,1,115,245,0.009000," ","int(x^6/(b*x^4+a)^(1/2),x)","\frac{\sqrt{b \,x^{4}+a}\, x^{3}}{5 b}-\frac{3 i \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) a^{\frac{3}{2}}}{5 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, b^{\frac{3}{2}}}"," ",0,"1/5*x^3*(b*x^4+a)^(1/2)/b-3/5*I*a^(3/2)/b^(3/2)/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*(EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*b^(1/2))^(1/2)*x,I))","C"
828,1,97,226,0.008000," ","int(x^2/(b*x^4+a)^(1/2),x)","\frac{i \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) \sqrt{a}}{\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, \sqrt{b}}"," ",0,"I*a^(1/2)/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)/b^(1/2)*(EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*b^(1/2))^(1/2)*x,I))","C"
829,1,115,246,0.011000," ","int(1/x^2/(b*x^4+a)^(1/2),x)","\frac{i \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) \sqrt{b}}{\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, \sqrt{a}}-\frac{\sqrt{b \,x^{4}+a}}{a x}"," ",0,"-(b*x^4+a)^(1/2)/a/x+I/a^(1/2)*b^(1/2)/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*(EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*b^(1/2))^(1/2)*x,I))","C"
830,1,133,265,0.014000," ","int(1/x^6/(b*x^4+a)^(1/2),x)","-\frac{3 i \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) b^{\frac{3}{2}}}{5 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, a^{\frac{3}{2}}}+\frac{3 \sqrt{b \,x^{4}+a}\, b}{5 a^{2} x}-\frac{\sqrt{b \,x^{4}+a}}{5 a \,x^{5}}"," ",0,"-1/5*(b*x^4+a)^(1/2)/a/x^5+3/5*b*(b*x^4+a)^(1/2)/a^2/x-3/5*I/a^(3/2)*b^(3/2)/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*(EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*b^(1/2))^(1/2)*x,I))","C"
831,1,37,50,0.006000," ","int(x^11/(-b*x^4+a)^(1/2),x)","-\frac{\sqrt{-b \,x^{4}+a}\, \left(3 b^{2} x^{8}+4 a b \,x^{4}+8 a^{2}\right)}{30 b^{3}}"," ",0,"-1/30*(-b*x^4+a)^(1/2)*(3*b^2*x^8+4*a*b*x^4+8*a^2)/b^3","A"
832,1,25,32,0.007000," ","int(x^7/(-b*x^4+a)^(1/2),x)","-\frac{\sqrt{-b \,x^{4}+a}\, \left(b \,x^{4}+2 a \right)}{6 b^{2}}"," ",0,"-1/6*(-b*x^4+a)^(1/2)*(b*x^4+2*a)/b^2","A"
833,1,16,15,0.004000," ","int(x^3/(-b*x^4+a)^(1/2),x)","-\frac{\sqrt{-b \,x^{4}+a}}{2 b}"," ",0,"-1/2*(-b*x^4+a)^(1/2)/b","A"
834,1,30,20,0.013000," ","int(1/x/(-b*x^4+a)^(1/2),x)","-\frac{\ln \left(\frac{2 a +2 \sqrt{-b \,x^{4}+a}\, \sqrt{a}}{x^{2}}\right)}{2 \sqrt{a}}"," ",0,"-1/2/a^(1/2)*ln((2*a+2*a^(1/2)*(-b*x^4+a)^(1/2))/x^2)","A"
835,1,50,40,0.013000," ","int(1/x^5/(-b*x^4+a)^(1/2),x)","-\frac{b \ln \left(\frac{2 a +2 \sqrt{-b \,x^{4}+a}\, \sqrt{a}}{x^{2}}\right)}{4 a^{\frac{3}{2}}}-\frac{\sqrt{-b \,x^{4}+a}}{4 a \,x^{4}}"," ",0,"-1/4*(-b*x^4+a)^(1/2)/a/x^4-1/4*b/a^(3/2)*ln((2*a+2*(-b*x^4+a)^(1/2)*a^(1/2))/x^2)","A"
836,1,44,43,0.013000," ","int(x^5/(-b*x^4+a)^(1/2),x)","-\frac{\sqrt{-b \,x^{4}+a}\, x^{2}}{4 b}+\frac{a \arctan \left(\frac{\sqrt{b}\, x^{2}}{\sqrt{-b \,x^{4}+a}}\right)}{4 b^{\frac{3}{2}}}"," ",0,"1/4*a*arctan(x^2*b^(1/2)/(-b*x^4+a)^(1/2))/b^(3/2)-1/4*x^2*(-b*x^4+a)^(1/2)/b","A"
837,1,24,23,0.008000," ","int(x/(-b*x^4+a)^(1/2),x)","\frac{\arctan \left(\frac{\sqrt{b}\, x^{2}}{\sqrt{-b \,x^{4}+a}}\right)}{2 \sqrt{b}}"," ",0,"1/2*arctan(1/(-b*x^4+a)^(1/2)*b^(1/2)*x^2)/b^(1/2)","A"
838,1,19,18,0.004000," ","int(1/x^3/(-b*x^4+a)^(1/2),x)","-\frac{\sqrt{-b \,x^{4}+a}}{2 a \,x^{2}}"," ",0,"-1/2*(-b*x^4+a)^(1/2)/a/x^2","A"
839,1,27,38,0.006000," ","int(1/x^7/(-b*x^4+a)^(1/2),x)","-\frac{\sqrt{-b \,x^{4}+a}\, \left(2 b \,x^{4}+a \right)}{6 a^{2} x^{6}}"," ",0,"-1/6*(-b*x^4+a)^(1/2)*(2*b*x^4+a)/a^2/x^6","A"
840,1,40,59,0.009000," ","int(1/x^11/(-b*x^4+a)^(1/2),x)","-\frac{\sqrt{-b \,x^{4}+a}\, \left(8 b^{2} x^{8}+4 a b \,x^{4}+3 a^{2}\right)}{30 a^{3} x^{10}}"," ",0,"-1/30*(-b*x^4+a)^(1/2)*(8*b^2*x^8+4*a*b*x^4+3*a^2)/x^10/a^3","A"
841,1,107,78,0.021000," ","int(x^8/(-b*x^4+a)^(1/2),x)","-\frac{\sqrt{-b \,x^{4}+a}\, x^{5}}{7 b}+\frac{5 \sqrt{-\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, a^{2} \EllipticF \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)}{21 \sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, \sqrt{-b \,x^{4}+a}\, b^{2}}-\frac{5 \sqrt{-b \,x^{4}+a}\, a x}{21 b^{2}}"," ",0,"-1/7*x^5*(-b*x^4+a)^(1/2)/b-5/21*a*x*(-b*x^4+a)^(1/2)/b^2+5/21*a^2/b^2/(1/a^(1/2)*b^(1/2))^(1/2)*(1-x^2*b^(1/2)/a^(1/2))^(1/2)*(1+x^2*b^(1/2)/a^(1/2))^(1/2)/(-b*x^4+a)^(1/2)*EllipticF(x*(1/a^(1/2)*b^(1/2))^(1/2),I)","A"
842,1,86,59,0.009000," ","int(x^4/(-b*x^4+a)^(1/2),x)","\frac{\sqrt{-\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, a \EllipticF \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)}{3 \sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, \sqrt{-b \,x^{4}+a}\, b}-\frac{\sqrt{-b \,x^{4}+a}\, x}{3 b}"," ",0,"-1/3*x*(-b*x^4+a)^(1/2)/b+1/3*a/b/(1/a^(1/2)*b^(1/2))^(1/2)*(-1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(-b*x^4+a)^(1/2)*EllipticF((1/a^(1/2)*b^(1/2))^(1/2)*x,I)","A"
843,1,64,41,0.006000," ","int(1/(-b*x^4+a)^(1/2),x)","\frac{\sqrt{-\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \EllipticF \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)}{\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, \sqrt{-b \,x^{4}+a}}"," ",0,"1/(1/a^(1/2)*b^(1/2))^(1/2)*(-1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(-b*x^4+a)^(1/2)*EllipticF((1/a^(1/2)*b^(1/2))^(1/2)*x,I)","A"
844,1,88,61,0.013000," ","int(1/x^4/(-b*x^4+a)^(1/2),x)","\frac{\sqrt{-\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, b \EllipticF \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)}{3 \sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, \sqrt{-b \,x^{4}+a}\, a}-\frac{\sqrt{-b \,x^{4}+a}}{3 a \,x^{3}}"," ",0,"-1/3*(-b*x^4+a)^(1/2)/a/x^3+1/3/a*b/(1/a^(1/2)*b^(1/2))^(1/2)*(-1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(-b*x^4+a)^(1/2)*EllipticF((1/a^(1/2)*b^(1/2))^(1/2)*x,I)","A"
845,1,109,80,0.016000," ","int(1/x^8/(-b*x^4+a)^(1/2),x)","\frac{5 \sqrt{-\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, b^{2} \EllipticF \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)}{21 \sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, \sqrt{-b \,x^{4}+a}\, a^{2}}-\frac{5 \sqrt{-b \,x^{4}+a}\, b}{21 a^{2} x^{3}}-\frac{\sqrt{-b \,x^{4}+a}}{7 a \,x^{7}}"," ",0,"-1/7*(-b*x^4+a)^(1/2)/a/x^7-5/21*b*(-b*x^4+a)^(1/2)/a^2/x^3+5/21/a^2*b^2/(1/a^(1/2)*b^(1/2))^(1/2)*(-1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(-b*x^4+a)^(1/2)*EllipticF((1/a^(1/2)*b^(1/2))^(1/2)*x,I)","A"
846,1,126,122,0.010000," ","int(x^10/(-b*x^4+a)^(1/2),x)","-\frac{\sqrt{-b \,x^{4}+a}\, x^{7}}{9 b}-\frac{7 \sqrt{-b \,x^{4}+a}\, a \,x^{3}}{45 b^{2}}-\frac{7 \sqrt{-\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) a^{\frac{5}{2}}}{15 \sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, \sqrt{-b \,x^{4}+a}\, b^{\frac{5}{2}}}"," ",0,"-1/9*x^7*(-b*x^4+a)^(1/2)/b-7/45*a*x^3*(-b*x^4+a)^(1/2)/b^2-7/15*a^(5/2)/b^(5/2)/(1/a^(1/2)*b^(1/2))^(1/2)*(-1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(-b*x^4+a)^(1/2)*(EllipticF((1/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((1/a^(1/2)*b^(1/2))^(1/2)*x,I))","A"
847,1,107,103,0.010000," ","int(x^6/(-b*x^4+a)^(1/2),x)","-\frac{\sqrt{-b \,x^{4}+a}\, x^{3}}{5 b}-\frac{3 \sqrt{-\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) a^{\frac{3}{2}}}{5 \sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, \sqrt{-b \,x^{4}+a}\, b^{\frac{3}{2}}}"," ",0,"-1/5*x^3*(-b*x^4+a)^(1/2)/b-3/5*a^(3/2)/b^(3/2)/(1/a^(1/2)*b^(1/2))^(1/2)*(-1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(-b*x^4+a)^(1/2)*(EllipticF((1/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((1/a^(1/2)*b^(1/2))^(1/2)*x,I))","A"
848,1,88,84,0.009000," ","int(x^2/(-b*x^4+a)^(1/2),x)","-\frac{\sqrt{-\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) \sqrt{a}}{\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, \sqrt{-b \,x^{4}+a}\, \sqrt{b}}"," ",0,"-a^(1/2)/(1/a^(1/2)*b^(1/2))^(1/2)*(-1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(-b*x^4+a)^(1/2)/b^(1/2)*(EllipticF((1/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((1/a^(1/2)*b^(1/2))^(1/2)*x,I))","A"
849,1,106,102,0.010000," ","int(1/x^2/(-b*x^4+a)^(1/2),x)","\frac{\sqrt{-\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) \sqrt{b}}{\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, \sqrt{-b \,x^{4}+a}\, \sqrt{a}}-\frac{\sqrt{-b \,x^{4}+a}}{a x}"," ",0,"-(-b*x^4+a)^(1/2)/a/x+1/a^(1/2)*b^(1/2)/(1/a^(1/2)*b^(1/2))^(1/2)*(-1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(-b*x^4+a)^(1/2)*(EllipticF((1/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((1/a^(1/2)*b^(1/2))^(1/2)*x,I))","A"
850,1,126,122,0.013000," ","int(1/x^6/(-b*x^4+a)^(1/2),x)","\frac{3 \sqrt{-\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{\sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) b^{\frac{3}{2}}}{5 \sqrt{\frac{\sqrt{b}}{\sqrt{a}}}\, \sqrt{-b \,x^{4}+a}\, a^{\frac{3}{2}}}-\frac{3 \sqrt{-b \,x^{4}+a}\, b}{5 a^{2} x}-\frac{\sqrt{-b \,x^{4}+a}}{5 a \,x^{5}}"," ",0,"-1/5*(-b*x^4+a)^(1/2)/a/x^5-3/5*b*(-b*x^4+a)^(1/2)/a^2/x+3/5/a^(3/2)*b^(3/2)/(1/a^(1/2)*b^(1/2))^(1/2)*(-1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(1/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(-b*x^4+a)^(1/2)*(EllipticF((1/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((1/a^(1/2)*b^(1/2))^(1/2)*x,I))","A"
851,1,36,47,0.007000," ","int(x^11/(b*x^4+a)^(3/2),x)","-\frac{-b^{2} x^{8}+4 a b \,x^{4}+8 a^{2}}{6 \sqrt{b \,x^{4}+a}\, b^{3}}"," ",0,"-1/6*(-b^2*x^8+4*a*b*x^4+8*a^2)/(b*x^4+a)^(1/2)/b^3","A"
852,1,24,30,0.006000," ","int(x^7/(b*x^4+a)^(3/2),x)","\frac{b \,x^{4}+2 a}{2 \sqrt{b \,x^{4}+a}\, b^{2}}"," ",0,"1/2*(b*x^4+2*a)/(b*x^4+a)^(1/2)/b^2","A"
853,1,15,14,0.005000," ","int(x^3/(b*x^4+a)^(3/2),x)","-\frac{1}{2 \sqrt{b \,x^{4}+a}\, b}"," ",0,"-1/2/b/(b*x^4+a)^(1/2)","A"
854,1,44,34,0.013000," ","int(1/x/(b*x^4+a)^(3/2),x)","-\frac{\ln \left(\frac{2 a +2 \sqrt{b \,x^{4}+a}\, \sqrt{a}}{x^{2}}\right)}{2 a^{\frac{3}{2}}}+\frac{1}{2 \sqrt{b \,x^{4}+a}\, a}"," ",0,"1/2/a/(b*x^4+a)^(1/2)-1/2/a^(3/2)*ln((2*a+2*(b*x^4+a)^(1/2)*a^(1/2))/x^2)","A"
855,1,63,53,0.015000," ","int(1/x^5/(b*x^4+a)^(3/2),x)","\frac{3 b \ln \left(\frac{2 a +2 \sqrt{b \,x^{4}+a}\, \sqrt{a}}{x^{2}}\right)}{4 a^{\frac{5}{2}}}-\frac{3 b}{4 \sqrt{b \,x^{4}+a}\, a^{2}}-\frac{1}{4 \sqrt{b \,x^{4}+a}\, a \,x^{4}}"," ",0,"-1/4/a/x^4/(b*x^4+a)^(1/2)-3/4*b/a^2/(b*x^4+a)^(1/2)+3/4/a^(5/2)*b*ln((2*a+2*(b*x^4+a)^(1/2)*a^(1/2))/x^2)","A"
856,1,61,58,0.013000," ","int(x^9/(b*x^4+a)^(3/2),x)","\frac{x^{6}}{4 \sqrt{b \,x^{4}+a}\, b}+\frac{3 a \,x^{2}}{4 \sqrt{b \,x^{4}+a}\, b^{2}}-\frac{3 a \ln \left(\sqrt{b}\, x^{2}+\sqrt{b \,x^{4}+a}\right)}{4 b^{\frac{5}{2}}}"," ",0,"1/4*x^6/b/(b*x^4+a)^(1/2)+3/4*a/b^2*x^2/(b*x^4+a)^(1/2)-3/4*a/b^(5/2)*ln(b^(1/2)*x^2+(b*x^4+a)^(1/2))","A"
857,1,42,40,0.013000," ","int(x^5/(b*x^4+a)^(3/2),x)","-\frac{x^{2}}{2 \sqrt{b \,x^{4}+a}\, b}+\frac{\ln \left(\sqrt{b}\, x^{2}+\sqrt{b \,x^{4}+a}\right)}{2 b^{\frac{3}{2}}}"," ",0,"-1/2*x^2/b/(b*x^4+a)^(1/2)+1/2/b^(3/2)*ln(b^(1/2)*x^2+(b*x^4+a)^(1/2))","A"
858,1,18,17,0.003000," ","int(x/(b*x^4+a)^(3/2),x)","\frac{x^{2}}{2 \sqrt{b \,x^{4}+a}\, a}"," ",0,"1/2*x^2/a/(b*x^4+a)^(1/2)","A"
859,1,26,36,0.005000," ","int(1/x^3/(b*x^4+a)^(3/2),x)","-\frac{2 b \,x^{4}+a}{2 \sqrt{b \,x^{4}+a}\, a^{2} x^{2}}"," ",0,"-1/2*(2*b*x^4+a)/x^2/(b*x^4+a)^(1/2)/a^2","A"
860,1,37,56,0.007000," ","int(1/x^7/(b*x^4+a)^(3/2),x)","-\frac{-8 b^{2} x^{8}-4 a b \,x^{4}+a^{2}}{6 \sqrt{b \,x^{4}+a}\, a^{3} x^{6}}"," ",0,"-1/6*(-8*b^2*x^8-4*a*b*x^4+a^2)/x^6/(b*x^4+a)^(1/2)/a^3","A"
861,1,133,150,0.019000," ","int(x^12/(b*x^4+a)^(3/2),x)","\frac{\sqrt{b \,x^{4}+a}\, x^{5}}{7 b^{2}}-\frac{a^{2} x}{2 \sqrt{\left(x^{4}+\frac{a}{b}\right) b}\, b^{3}}+\frac{15 \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, a^{2} \EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)}{14 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, b^{3}}-\frac{4 \sqrt{b \,x^{4}+a}\, a x}{7 b^{3}}"," ",0,"-1/2/b^3*a^2*x/((x^4+a/b)*b)^(1/2)+1/7*x^5*(b*x^4+a)^(1/2)/b^2-4/7*a*x*(b*x^4+a)^(1/2)/b^3+15/14*a^2/b^3/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)","C"
862,1,111,132,0.013000," ","int(x^8/(b*x^4+a)^(3/2),x)","\frac{a x}{2 \sqrt{\left(x^{4}+\frac{a}{b}\right) b}\, b^{2}}-\frac{5 \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, a \EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)}{6 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, b^{2}}+\frac{\sqrt{b \,x^{4}+a}\, x}{3 b^{2}}"," ",0,"1/2/b^2*a*x/((x^4+a/b)*b)^(1/2)+1/3*x*(b*x^4+a)^(1/2)/b^2-5/6*a/b^2/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)","C"
863,1,94,115,0.013000," ","int(x^4/(b*x^4+a)^(3/2),x)","-\frac{x}{2 \sqrt{\left(x^{4}+\frac{a}{b}\right) b}\, b}+\frac{\sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)}{2 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, b}"," ",0,"-1/2/b*x/((x^4+a/b)*b)^(1/2)+1/2/b/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)","C"
864,1,94,115,0.010000," ","int(1/(b*x^4+a)^(3/2),x)","\frac{x}{2 \sqrt{\left(x^{4}+\frac{a}{b}\right) b}\, a}+\frac{\sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)}{2 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, a}"," ",0,"1/2/a*x/((x^4+a/b)*b)^(1/2)+1/2/a/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)","C"
865,1,113,134,0.017000," ","int(1/x^4/(b*x^4+a)^(3/2),x)","-\frac{b x}{2 \sqrt{\left(x^{4}+\frac{a}{b}\right) b}\, a^{2}}-\frac{5 \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, b \EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)}{6 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, a^{2}}-\frac{\sqrt{b \,x^{4}+a}}{3 a^{2} x^{3}}"," ",0,"-1/3*(b*x^4+a)^(1/2)/a^2/x^3-1/2*b/a^2*x/((x^4+a/b)*b)^(1/2)-5/6/a^2*b/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)","C"
866,1,135,152,0.022000," ","int(1/x^8/(b*x^4+a)^(3/2),x)","\frac{b^{2} x}{2 \sqrt{\left(x^{4}+\frac{a}{b}\right) b}\, a^{3}}+\frac{15 \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, b^{2} \EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)}{14 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, a^{3}}+\frac{4 \sqrt{b \,x^{4}+a}\, b}{7 a^{3} x^{3}}-\frac{\sqrt{b \,x^{4}+a}}{7 a^{2} x^{7}}"," ",0,"-1/7*(b*x^4+a)^(1/2)/a^2/x^7+4/7*b*(b*x^4+a)^(1/2)/a^3/x^3+1/2*b^2/a^3*x/((x^4+a/b)*b)^(1/2)+15/14/a^3*b^2/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)","C"
867,1,157,282,0.013000," ","int(x^14/(b*x^4+a)^(3/2),x)","\frac{\sqrt{b \,x^{4}+a}\, x^{7}}{9 b^{2}}-\frac{a^{2} x^{3}}{2 \sqrt{\left(x^{4}+\frac{a}{b}\right) b}\, b^{3}}-\frac{16 \sqrt{b \,x^{4}+a}\, a \,x^{3}}{45 b^{3}}+\frac{77 i \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) a^{\frac{5}{2}}}{30 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, b^{\frac{7}{2}}}"," ",0,"-1/2/b^3*a^2*x^3/((x^4+a/b)*b)^(1/2)+1/9*x^7*(b*x^4+a)^(1/2)/b^2-16/45*a*x^3*(b*x^4+a)^(1/2)/b^3+77/30*I*a^(5/2)/b^(7/2)/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*(EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*b^(1/2))^(1/2)*x,I))","C"
868,1,137,262,0.012000," ","int(x^10/(b*x^4+a)^(3/2),x)","\frac{a \,x^{3}}{2 \sqrt{\left(x^{4}+\frac{a}{b}\right) b}\, b^{2}}+\frac{\sqrt{b \,x^{4}+a}\, x^{3}}{5 b^{2}}-\frac{21 i \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) a^{\frac{3}{2}}}{10 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, b^{\frac{5}{2}}}"," ",0,"1/2/b^2*a*x^3/((x^4+a/b)*b)^(1/2)+1/5*x^3*(b*x^4+a)^(1/2)/b^2-21/10*I*a^(3/2)/b^(5/2)/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*(EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*b^(1/2))^(1/2)*x,I))","C"
869,1,119,244,0.010000," ","int(x^6/(b*x^4+a)^(3/2),x)","-\frac{x^{3}}{2 \sqrt{\left(x^{4}+\frac{a}{b}\right) b}\, b}+\frac{3 i \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) \sqrt{a}}{2 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, b^{\frac{3}{2}}}"," ",0,"-1/2/b*x^3/((x^4+a/b)*b)^(1/2)+3/2*I/b^(3/2)*a^(1/2)/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*(EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*b^(1/2))^(1/2)*x,I))","C"
870,1,119,247,0.012000," ","int(x^2/(b*x^4+a)^(3/2),x)","\frac{x^{3}}{2 \sqrt{\left(x^{4}+\frac{a}{b}\right) b}\, a}-\frac{i \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)\right)}{2 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, \sqrt{a}\, \sqrt{b}}"," ",0,"1/2/a*x^3/((x^4+a/b)*b)^(1/2)-1/2*I/a^(1/2)/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)/b^(1/2)*(EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*b^(1/2))^(1/2)*x,I))","C"
871,1,137,264,0.015000," ","int(1/x^2/(b*x^4+a)^(3/2),x)","-\frac{b \,x^{3}}{2 \sqrt{\left(x^{4}+\frac{a}{b}\right) b}\, a^{2}}+\frac{3 i \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) \sqrt{b}}{2 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, a^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{4}+a}}{a^{2} x}"," ",0,"-1/2*b/a^2*x^3/((x^4+a/b)*b)^(1/2)-(b*x^4+a)^(1/2)/a^2/x+3/2*I/a^(3/2)*b^(1/2)/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*(EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*b^(1/2))^(1/2)*x,I))","C"
872,1,157,282,0.021000," ","int(1/x^6/(b*x^4+a)^(3/2),x)","\frac{b^{2} x^{3}}{2 \sqrt{\left(x^{4}+\frac{a}{b}\right) b}\, a^{3}}-\frac{21 i \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)\right) b^{\frac{3}{2}}}{10 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, a^{\frac{5}{2}}}+\frac{8 \sqrt{b \,x^{4}+a}\, b}{5 a^{3} x}-\frac{\sqrt{b \,x^{4}+a}}{5 a^{2} x^{5}}"," ",0,"-1/5*(b*x^4+a)^(1/2)/a^2/x^5+8/5*b*(b*x^4+a)^(1/2)/a^3/x+1/2*b^2/a^3*x^3/((x^4+a/b)*b)^(1/2)-21/10*I/a^(5/2)*b^(3/2)/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*(EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)-EllipticE((I/a^(1/2)*b^(1/2))^(1/2)*x,I))","C"
873,1,123,130,0.012000," ","int(1/(b*x^4+a)^(5/2),x)","\frac{5 x}{12 \sqrt{\left(x^{4}+\frac{a}{b}\right) b}\, a^{2}}+\frac{5 \sqrt{-\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \sqrt{\frac{i \sqrt{b}\, x^{2}}{\sqrt{a}}+1}\, \EllipticF \left(\sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, x , i\right)}{12 \sqrt{\frac{i \sqrt{b}}{\sqrt{a}}}\, \sqrt{b \,x^{4}+a}\, a^{2}}+\frac{\sqrt{b \,x^{4}+a}\, x}{6 \left(x^{4}+\frac{a}{b}\right)^{2} a \,b^{2}}"," ",0,"1/6/a*x/b^2*(b*x^4+a)^(1/2)/(x^4+a/b)^2+5/12/a^2*x/((x^4+a/b)*b)^(1/2)+5/12/a^2/(I/a^(1/2)*b^(1/2))^(1/2)*(-I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)*(I/a^(1/2)*b^(1/2)*x^2+1)^(1/2)/(b*x^4+a)^(1/2)*EllipticF((I/a^(1/2)*b^(1/2))^(1/2)*x,I)","C"
874,1,35,34,0.007000," ","int(x^11/(-x^4+1)^(1/2),x)","\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+1\right) \left(3 x^{8}+4 x^{4}+8\right)}{30 \sqrt{-x^{4}+1}}"," ",0,"1/30*(x-1)*(x+1)*(x^2+1)*(3*x^8+4*x^4+8)/(-x^4+1)^(1/2)","A"
875,1,28,23,0.004000," ","int(x^7/(-x^4+1)^(1/2),x)","\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+1\right) \left(x^{4}+2\right)}{6 \sqrt{-x^{4}+1}}"," ",0,"1/6*(x-1)*(x+1)*(x^2+1)*(x^4+2)/(-x^4+1)^(1/2)","A"
876,1,23,11,0.006000," ","int(x^3/(-x^4+1)^(1/2),x)","\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+1\right)}{2 \sqrt{-x^{4}+1}}"," ",0,"1/2*(x-1)*(x+1)*(x^2+1)/(-x^4+1)^(1/2)","A"
877,1,13,12,0.010000," ","int(1/x/(-x^4+1)^(1/2),x)","-\frac{\arctanh \left(\frac{1}{\sqrt{-x^{4}+1}}\right)}{2}"," ",0,"-1/2*arctanh(1/(-x^4+1)^(1/2))","A"
878,1,28,27,0.013000," ","int(1/x^5/(-x^4+1)^(1/2),x)","-\frac{\arctanh \left(\frac{1}{\sqrt{-x^{4}+1}}\right)}{4}-\frac{\sqrt{-x^{4}+1}}{4 x^{4}}"," ",0,"-1/4*(-x^4+1)^(1/2)/x^4-1/4*arctanh(1/(-x^4+1)^(1/2))","A"
879,1,22,21,0.012000," ","int(x^5/(-x^4+1)^(1/2),x)","-\frac{\sqrt{-x^{4}+1}\, x^{2}}{4}+\frac{\arcsin \left(x^{2}\right)}{4}"," ",0,"1/4*arcsin(x^2)-1/4*x^2*(-x^4+1)^(1/2)","A"
880,1,7,6,0.009000," ","int(x/(-x^4+1)^(1/2),x)","\frac{\arcsin \left(x^{2}\right)}{2}"," ",0,"1/2*arcsin(x^2)","A"
881,1,26,14,0.006000," ","int(1/x^3/(-x^4+1)^(1/2),x)","\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+1\right)}{2 \sqrt{-x^{4}+1}\, x^{2}}"," ",0,"1/2/x^2*(x-1)*(x+1)*(x^2+1)/(-x^4+1)^(1/2)","A"
882,1,33,29,0.005000," ","int(1/x^7/(-x^4+1)^(1/2),x)","\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+1\right) \left(2 x^{4}+1\right)}{6 \sqrt{-x^{4}+1}\, x^{6}}"," ",0,"1/6*(x-1)*(x+1)*(x^2+1)*(2*x^4+1)/x^6/(-x^4+1)^(1/2)","A"
883,1,38,43,0.005000," ","int(1/x^11/(-x^4+1)^(1/2),x)","\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+1\right) \left(8 x^{8}+4 x^{4}+3\right)}{30 \sqrt{-x^{4}+1}\, x^{10}}"," ",0,"1/30*(x-1)*(x+1)*(x^2+1)*(8*x^8+4*x^4+3)/x^10/(-x^4+1)^(1/2)","A"
884,1,59,33,0.010000," ","int(x^8/(-x^4+1)^(1/2),x)","-\frac{\sqrt{-x^{4}+1}\, x^{5}}{7}-\frac{5 \sqrt{-x^{4}+1}\, x}{21}+\frac{5 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{21 \sqrt{-x^{4}+1}}"," ",0,"-1/7*(-x^4+1)^(1/2)*x^5-5/21*(-x^4+1)^(1/2)*x+5/21*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","A"
885,1,45,19,0.008000," ","int(x^4/(-x^4+1)^(1/2),x)","-\frac{\sqrt{-x^{4}+1}\, x}{3}+\frac{\sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{3 \sqrt{-x^{4}+1}}"," ",0,"-1/3*(-x^4+1)^(1/2)*x+1/3*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","B"
886,1,31,4,0.005000," ","int(1/(-x^4+1)^(1/2),x)","\frac{\sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{\sqrt{-x^{4}+1}}"," ",0,"(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","B"
887,1,47,21,0.012000," ","int(1/x^4/(-x^4+1)^(1/2),x)","\frac{\sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{3 \sqrt{-x^{4}+1}}-\frac{\sqrt{-x^{4}+1}}{3 x^{3}}"," ",0,"-1/3*(-x^4+1)^(1/2)/x^3+1/3*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","B"
888,1,61,35,0.013000," ","int(1/x^8/(-x^4+1)^(1/2),x)","\frac{5 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{21 \sqrt{-x^{4}+1}}-\frac{5 \sqrt{-x^{4}+1}}{21 x^{3}}-\frac{\sqrt{-x^{4}+1}}{7 x^{7}}"," ",0,"-1/7*(-x^4+1)^(1/2)/x^7-5/21*(-x^4+1)^(1/2)/x^3+5/21*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","A"
889,1,68,41,0.010000," ","int(x^10/(-x^4+1)^(1/2),x)","-\frac{\sqrt{-x^{4}+1}\, x^{7}}{9}-\frac{7 \sqrt{-x^{4}+1}\, x^{3}}{45}-\frac{7 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \left(-\EllipticE \left(x , i\right)+\EllipticF \left(x , i\right)\right)}{15 \sqrt{-x^{4}+1}}"," ",0,"-1/9*x^7*(-x^4+1)^(1/2)-7/45*x^3*(-x^4+1)^(1/2)-7/15*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*(EllipticF(x,I)-EllipticE(x,I))","A"
890,1,54,27,0.010000," ","int(x^6/(-x^4+1)^(1/2),x)","-\frac{\sqrt{-x^{4}+1}\, x^{3}}{5}-\frac{3 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \left(-\EllipticE \left(x , i\right)+\EllipticF \left(x , i\right)\right)}{5 \sqrt{-x^{4}+1}}"," ",0,"-1/5*(-x^4+1)^(1/2)*x^3-3/5*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*(EllipticF(x,I)-EllipticE(x,I))","A"
891,1,39,11,0.007000," ","int(x^2/(-x^4+1)^(1/2),x)","-\frac{\sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \left(-\EllipticE \left(x , i\right)+\EllipticF \left(x , i\right)\right)}{\sqrt{-x^{4}+1}}"," ",0,"-(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*(EllipticF(x,I)-EllipticE(x,I))","B"
892,1,53,25,0.010000," ","int(1/x^2/(-x^4+1)^(1/2),x)","-\frac{\sqrt{-x^{4}+1}}{x}+\frac{\sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \left(-\EllipticE \left(x , i\right)+\EllipticF \left(x , i\right)\right)}{\sqrt{-x^{4}+1}}"," ",0,"-(-x^4+1)^(1/2)/x+(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*(EllipticF(x,I)-EllipticE(x,I))","B"
893,1,68,41,0.013000," ","int(1/x^6/(-x^4+1)^(1/2),x)","-\frac{3 \sqrt{-x^{4}+1}}{5 x}-\frac{\sqrt{-x^{4}+1}}{5 x^{5}}+\frac{3 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \left(-\EllipticE \left(x , i\right)+\EllipticF \left(x , i\right)\right)}{5 \sqrt{-x^{4}+1}}"," ",0,"-1/5*(-x^4+1)^(1/2)/x^5-3/5*(-x^4+1)^(1/2)/x+3/5*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*(EllipticF(x,I)-EllipticE(x,I))","A"
894,1,33,32,0.006000," ","int(x^11/(-x^4+1)^(3/2),x)","\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+1\right) \left(x^{8}+4 x^{4}-8\right)}{6 \left(-x^{4}+1\right)^{\frac{3}{2}}}"," ",0,"1/6*(x-1)*(x+1)*(x^2+1)*(x^8+4*x^4-8)/(-x^4+1)^(3/2)","A"
895,1,28,23,0.004000," ","int(x^7/(-x^4+1)^(3/2),x)","\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+1\right) \left(x^{4}-2\right)}{2 \left(-x^{4}+1\right)^{\frac{3}{2}}}"," ",0,"1/2*(x-1)*(x+1)*(x^2+1)*(x^4-2)/(-x^4+1)^(3/2)","A"
896,1,23,11,0.006000," ","int(x^3/(-x^4+1)^(3/2),x)","-\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+1\right)}{2 \left(-x^{4}+1\right)^{\frac{3}{2}}}"," ",0,"-1/2*(x-1)*(x+1)*(x^2+1)/(-x^4+1)^(3/2)","A"
897,1,68,24,0.020000," ","int(1/x/(-x^4+1)^(3/2),x)","-\frac{\arctanh \left(\frac{1}{\sqrt{-x^{4}+1}}\right)}{2}-\frac{\sqrt{-2 x^{2}-\left(x^{2}-1\right)^{2}+2}}{4 \left(x^{2}-1\right)}+\frac{\sqrt{2 x^{2}-\left(x^{2}+1\right)^{2}+2}}{4 x^{2}+4}"," ",0,"-1/4/(x^2-1)*(-(x^2-1)^2-2*x^2+2)^(1/2)+1/4/(x^2+1)*(-(x^2+1)^2+2*x^2+2)^(1/2)-1/2*arctanh(1/(-x^4+1)^(1/2))","B"
898,1,82,38,0.017000," ","int(1/x^5/(-x^4+1)^(3/2),x)","-\frac{3 \arctanh \left(\frac{1}{\sqrt{-x^{4}+1}}\right)}{4}-\frac{\sqrt{-x^{4}+1}}{4 x^{4}}-\frac{\sqrt{-2 x^{2}-\left(x^{2}-1\right)^{2}+2}}{4 \left(x^{2}-1\right)}+\frac{\sqrt{2 x^{2}-\left(x^{2}+1\right)^{2}+2}}{4 x^{2}+4}"," ",0,"-1/4/(x^2-1)*(-2*x^2-(x^2-1)^2+2)^(1/2)-1/4*(-x^4+1)^(1/2)/x^4-3/4*arctanh(1/(-x^4+1)^(1/2))+1/4/(x^2+1)*(2*x^2-(x^2+1)^2+2)^(1/2)","B"
899,1,76,35,0.017000," ","int(x^9/(-x^4+1)^(3/2),x)","\frac{\sqrt{-x^{4}+1}\, x^{2}}{4}-\frac{3 \arcsin \left(x^{2}\right)}{4}-\frac{\sqrt{-2 x^{2}-\left(x^{2}-1\right)^{2}+2}}{4 \left(x^{2}-1\right)}-\frac{\sqrt{2 x^{2}-\left(x^{2}+1\right)^{2}+2}}{4 \left(x^{2}+1\right)}"," ",0,"1/4*(-x^4+1)^(1/2)*x^2-3/4*arcsin(x^2)-1/4/(x^2-1)*(-2*x^2-(x^2-1)^2+2)^(1/2)-1/4/(x^2+1)*(2*x^2-(x^2+1)^2+2)^(1/2)","B"
900,1,62,21,0.017000," ","int(x^5/(-x^4+1)^(3/2),x)","-\frac{\arcsin \left(x^{2}\right)}{2}-\frac{\sqrt{-2 x^{2}-\left(x^{2}-1\right)^{2}+2}}{4 \left(x^{2}-1\right)}-\frac{\sqrt{2 x^{2}-\left(x^{2}+1\right)^{2}+2}}{4 \left(x^{2}+1\right)}"," ",0,"-1/2*arcsin(x^2)-1/4/(x^2-1)*(-2*x^2-(x^2-1)^2+2)^(1/2)-1/4/(x^2+1)*(2*x^2-(x^2+1)^2+2)^(1/2)","B"
901,1,26,14,0.005000," ","int(x/(-x^4+1)^(3/2),x)","-\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+1\right) x^{2}}{2 \left(-x^{4}+1\right)^{\frac{3}{2}}}"," ",0,"-1/2*(x-1)*(x+1)*(x^2+1)*x^2/(-x^4+1)^(3/2)","A"
902,1,33,28,0.005000," ","int(1/x^3/(-x^4+1)^(3/2),x)","-\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+1\right) \left(2 x^{4}-1\right)}{2 \left(-x^{4}+1\right)^{\frac{3}{2}} x^{2}}"," ",0,"-1/2*(x-1)*(x+1)*(x^2+1)*(2*x^4-1)/x^2/(-x^4+1)^(3/2)","A"
903,1,38,43,0.005000," ","int(1/x^7/(-x^4+1)^(3/2),x)","-\frac{\left(x -1\right) \left(x +1\right) \left(x^{2}+1\right) \left(8 x^{8}-4 x^{4}-1\right)}{6 \left(-x^{4}+1\right)^{\frac{3}{2}} x^{6}}"," ",0,"-1/6*(x-1)*(x+1)*(x^2+1)*(8*x^8-4*x^4-1)/x^6/(-x^4+1)^(3/2)","A"
904,1,71,47,0.010000," ","int(x^12/(-x^4+1)^(3/2),x)","\frac{\sqrt{-x^{4}+1}\, x^{5}}{7}+\frac{x}{2 \sqrt{-x^{4}+1}}+\frac{4 \sqrt{-x^{4}+1}\, x}{7}-\frac{15 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{14 \sqrt{-x^{4}+1}}"," ",0,"1/2*x/(-x^4+1)^(1/2)+1/7*(-x^4+1)^(1/2)*x^5+4/7*(-x^4+1)^(1/2)*x-15/14*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","A"
905,1,57,33,0.013000," ","int(x^8/(-x^4+1)^(3/2),x)","\frac{x}{2 \sqrt{-x^{4}+1}}+\frac{\sqrt{-x^{4}+1}\, x}{3}-\frac{5 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{6 \sqrt{-x^{4}+1}}"," ",0,"1/2/(-x^4+1)^(1/2)*x+1/3*(-x^4+1)^(1/2)*x-5/6*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","A"
906,1,45,19,0.012000," ","int(x^4/(-x^4+1)^(3/2),x)","\frac{x}{2 \sqrt{-x^{4}+1}}-\frac{\sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{2 \sqrt{-x^{4}+1}}"," ",0,"1/2/(-x^4+1)^(1/2)*x-1/2*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","B"
907,1,45,19,0.010000," ","int(1/(-x^4+1)^(3/2),x)","\frac{x}{2 \sqrt{-x^{4}+1}}+\frac{\sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{2 \sqrt{-x^{4}+1}}"," ",0,"1/2/(-x^4+1)^(1/2)*x+1/2*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","B"
908,1,59,35,0.016000," ","int(1/x^4/(-x^4+1)^(3/2),x)","\frac{x}{2 \sqrt{-x^{4}+1}}+\frac{5 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{6 \sqrt{-x^{4}+1}}-\frac{\sqrt{-x^{4}+1}}{3 x^{3}}"," ",0,"-1/3*(-x^4+1)^(1/2)/x^3+1/2/(-x^4+1)^(1/2)*x+5/6*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","A"
909,1,73,49,0.017000," ","int(1/x^8/(-x^4+1)^(3/2),x)","\frac{x}{2 \sqrt{-x^{4}+1}}+\frac{15 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{14 \sqrt{-x^{4}+1}}-\frac{4 \sqrt{-x^{4}+1}}{7 x^{3}}-\frac{\sqrt{-x^{4}+1}}{7 x^{7}}"," ",0,"-1/7*(-x^4+1)^(1/2)/x^7-4/7*(-x^4+1)^(1/2)/x^3+1/2/(-x^4+1)^(1/2)*x+15/14*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","A"
910,1,82,55,0.013000," ","int(x^14/(-x^4+1)^(3/2),x)","\frac{\sqrt{-x^{4}+1}\, x^{7}}{9}+\frac{x^{3}}{2 \sqrt{-x^{4}+1}}+\frac{16 \sqrt{-x^{4}+1}\, x^{3}}{45}+\frac{77 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \left(-\EllipticE \left(x , i\right)+\EllipticF \left(x , i\right)\right)}{30 \sqrt{-x^{4}+1}}"," ",0,"1/2*x^3/(-x^4+1)^(1/2)+1/9*(-x^4+1)^(1/2)*x^7+16/45*(-x^4+1)^(1/2)*x^3+77/30*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*(EllipticF(x,I)-EllipticE(x,I))","A"
911,1,68,41,0.013000," ","int(x^10/(-x^4+1)^(3/2),x)","\frac{x^{3}}{2 \sqrt{-x^{4}+1}}+\frac{\sqrt{-x^{4}+1}\, x^{3}}{5}+\frac{21 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \left(-\EllipticE \left(x , i\right)+\EllipticF \left(x , i\right)\right)}{10 \sqrt{-x^{4}+1}}"," ",0,"1/2/(-x^4+1)^(1/2)*x^3+1/5*(-x^4+1)^(1/2)*x^3+21/10*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*(EllipticF(x,I)-EllipticE(x,I))","A"
912,1,54,27,0.013000," ","int(x^6/(-x^4+1)^(3/2),x)","\frac{x^{3}}{2 \sqrt{-x^{4}+1}}+\frac{3 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \left(-\EllipticE \left(x , i\right)+\EllipticF \left(x , i\right)\right)}{2 \sqrt{-x^{4}+1}}"," ",0,"1/2/(-x^4+1)^(1/2)*x^3+3/2*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*(EllipticF(x,I)-EllipticE(x,I))","A"
913,1,54,27,0.010000," ","int(x^2/(-x^4+1)^(3/2),x)","\frac{x^{3}}{2 \sqrt{-x^{4}+1}}+\frac{\sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \left(-\EllipticE \left(x , i\right)+\EllipticF \left(x , i\right)\right)}{2 \sqrt{-x^{4}+1}}"," ",0,"1/2/(-x^4+1)^(1/2)*x^3+1/2*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*(EllipticF(x,I)-EllipticE(x,I))","A"
914,1,68,41,0.015000," ","int(1/x^2/(-x^4+1)^(3/2),x)","\frac{x^{3}}{2 \sqrt{-x^{4}+1}}-\frac{\sqrt{-x^{4}+1}}{x}+\frac{3 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \left(-\EllipticE \left(x , i\right)+\EllipticF \left(x , i\right)\right)}{2 \sqrt{-x^{4}+1}}"," ",0,"1/2/(-x^4+1)^(1/2)*x^3-(-x^4+1)^(1/2)/x+3/2*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*(EllipticF(x,I)-EllipticE(x,I))","A"
915,1,82,55,0.017000," ","int(1/x^6/(-x^4+1)^(3/2),x)","\frac{x^{3}}{2 \sqrt{-x^{4}+1}}-\frac{8 \sqrt{-x^{4}+1}}{5 x}-\frac{\sqrt{-x^{4}+1}}{5 x^{5}}+\frac{21 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \left(-\EllipticE \left(x , i\right)+\EllipticF \left(x , i\right)\right)}{10 \sqrt{-x^{4}+1}}"," ",0,"-1/5*(-x^4+1)^(1/2)/x^5-8/5*(-x^4+1)^(1/2)/x+1/2/(-x^4+1)^(1/2)*x^3+21/10*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*(EllipticF(x,I)-EllipticE(x,I))","A"
916,1,64,31,0.010000," ","int(1/(-x^4+1)^(5/2),x)","\frac{\sqrt{-x^{4}+1}\, x}{6 \left(x^{4}-1\right)^{2}}+\frac{5 x}{12 \sqrt{-x^{4}+1}}+\frac{5 \sqrt{-x^{2}+1}\, \sqrt{x^{2}+1}\, \EllipticF \left(x , i\right)}{12 \sqrt{-x^{4}+1}}"," ",0,"1/6*x*(-x^4+1)^(1/2)/(x^4-1)^2+5/12/(-x^4+1)^(1/2)*x+5/12*(-x^2+1)^(1/2)*(x^2+1)^(1/2)/(-x^4+1)^(1/2)*EllipticF(x,I)","B"
917,1,22,28,0.005000," ","int(x^11/(x^4+1)^(1/2),x)","\frac{\sqrt{x^{4}+1}\, \left(3 x^{8}-4 x^{4}+8\right)}{30}"," ",0,"1/30*(x^4+1)^(1/2)*(3*x^8-4*x^4+8)","A"
918,1,15,19,0.005000," ","int(x^7/(x^4+1)^(1/2),x)","\frac{\sqrt{x^{4}+1}\, \left(x^{4}-2\right)}{6}"," ",0,"1/6*(x^4+1)^(1/2)*(x^4-2)","A"
919,1,10,9,0.003000," ","int(x^3/(x^4+1)^(1/2),x)","\frac{\sqrt{x^{4}+1}}{2}"," ",0,"1/2*(x^4+1)^(1/2)","A"
920,1,11,10,0.010000," ","int(1/x/(x^4+1)^(1/2),x)","-\frac{\arctanh \left(\frac{1}{\sqrt{x^{4}+1}}\right)}{2}"," ",0,"-1/2*arctanh(1/(x^4+1)^(1/2))","A"
921,1,24,23,0.010000," ","int(1/x^5/(x^4+1)^(1/2),x)","\frac{\arctanh \left(\frac{1}{\sqrt{x^{4}+1}}\right)}{4}-\frac{\sqrt{x^{4}+1}}{4 x^{4}}"," ",0,"-1/4*(x^4+1)^(1/2)/x^4+1/4*arctanh(1/(x^4+1)^(1/2))","A"
922,1,20,19,0.011000," ","int(x^5/(x^4+1)^(1/2),x)","\frac{\sqrt{x^{4}+1}\, x^{2}}{4}-\frac{\arcsinh \left(x^{2}\right)}{4}"," ",0,"-1/4*arcsinh(x^2)+1/4*x^2*(x^4+1)^(1/2)","A"
923,1,7,6,0.007000," ","int(x/(x^4+1)^(1/2),x)","\frac{\arcsinh \left(x^{2}\right)}{2}"," ",0,"1/2*arcsinh(x^2)","A"
924,1,13,12,0.004000," ","int(1/x^3/(x^4+1)^(1/2),x)","-\frac{\sqrt{x^{4}+1}}{2 x^{2}}"," ",0,"-1/2*(x^4+1)^(1/2)/x^2","A"
925,1,20,25,0.004000," ","int(1/x^7/(x^4+1)^(1/2),x)","\frac{\sqrt{x^{4}+1}\, \left(2 x^{4}-1\right)}{6 x^{6}}"," ",0,"1/6*(x^4+1)^(1/2)*(2*x^4-1)/x^6","A"
926,1,25,37,0.006000," ","int(1/x^11/(x^4+1)^(1/2),x)","-\frac{\sqrt{x^{4}+1}\, \left(8 x^{8}-4 x^{4}+3\right)}{30 x^{10}}"," ",0,"-1/30*(x^4+1)^(1/2)*(8*x^8-4*x^4+3)/x^10","A"
927,1,84,79,0.009000," ","int(x^8/(x^4+1)^(1/2),x)","\frac{\sqrt{x^{4}+1}\, x^{5}}{7}-\frac{5 \sqrt{x^{4}+1}\, x}{21}+\frac{5 \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{21 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"1/7*(x^4+1)^(1/2)*x^5-5/21*(x^4+1)^(1/2)*x+5/21/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)","C"
928,1,72,67,0.007000," ","int(x^4/(x^4+1)^(1/2),x)","\frac{\sqrt{x^{4}+1}\, x}{3}-\frac{\sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{3 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"1/3*(x^4+1)^(1/2)*x-1/3/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)","C"
929,1,60,56,0.005000," ","int(1/(x^4+1)^(1/2),x)","\frac{\sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"1/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)","C"
930,1,74,69,0.013000," ","int(1/x^4/(x^4+1)^(1/2),x)","-\frac{\sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{3 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}-\frac{\sqrt{x^{4}+1}}{3 x^{3}}"," ",0,"-1/3*(x^4+1)^(1/2)/x^3-1/3/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)","C"
931,1,86,81,0.012000," ","int(1/x^8/(x^4+1)^(1/2),x)","\frac{5 \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{21 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}+\frac{5 \sqrt{x^{4}+1}}{21 x^{3}}-\frac{\sqrt{x^{4}+1}}{7 x^{7}}"," ",0,"-1/7*(x^4+1)^(1/2)/x^7+5/21*(x^4+1)^(1/2)/x^3+5/21/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)","C"
932,1,107,154,0.006000," ","int(x^10/(x^4+1)^(1/2),x)","\frac{\sqrt{x^{4}+1}\, x^{7}}{9}-\frac{7 \sqrt{x^{4}+1}\, x^{3}}{45}+\frac{7 i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \left(-\EllipticE \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)+\EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)\right)}{15 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"1/9*x^7*(x^4+1)^(1/2)-7/45*x^3*(x^4+1)^(1/2)+7/15*I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*(EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)-EllipticE((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I))","C"
933,1,95,142,0.008000," ","int(x^6/(x^4+1)^(1/2),x)","\frac{\sqrt{x^{4}+1}\, x^{3}}{5}-\frac{3 i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \left(-\EllipticE \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)+\EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)\right)}{5 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"1/5*(x^4+1)^(1/2)*x^3-3/5*I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*(EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)-EllipticE((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I))","C"
934,1,82,129,0.006000," ","int(x^2/(x^4+1)^(1/2),x)","\frac{i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \left(-\EllipticE \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)+\EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)\right)}{\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*(EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)-EllipticE((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I))","C"
935,1,95,141,0.008000," ","int(1/x^2/(x^4+1)^(1/2),x)","-\frac{\sqrt{x^{4}+1}}{x}+\frac{i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \left(-\EllipticE \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)+\EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)\right)}{\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"-(x^4+1)^(1/2)/x+I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*(EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)-EllipticE((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I))","C"
936,1,107,154,0.012000," ","int(1/x^6/(x^4+1)^(1/2),x)","\frac{3 \sqrt{x^{4}+1}}{5 x}-\frac{\sqrt{x^{4}+1}}{5 x^{5}}-\frac{3 i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \left(-\EllipticE \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)+\EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)\right)}{5 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"-1/5*(x^4+1)^(1/2)/x^5+3/5*(x^4+1)^(1/2)/x-3/5*I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*(EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)-EllipticE((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I))","C"
937,1,20,28,0.005000," ","int(x^11/(x^4+1)^(3/2),x)","\frac{x^{8}-4 x^{4}-8}{6 \sqrt{x^{4}+1}}"," ",0,"1/6*(x^8-4*x^4-8)/(x^4+1)^(1/2)","A"
938,1,15,19,0.005000," ","int(x^7/(x^4+1)^(3/2),x)","\frac{x^{4}+2}{2 \sqrt{x^{4}+1}}"," ",0,"1/2*(x^4+2)/(x^4+1)^(1/2)","A"
939,1,10,9,0.004000," ","int(x^3/(x^4+1)^(3/2),x)","-\frac{1}{2 \sqrt{x^{4}+1}}"," ",0,"-1/2/(x^4+1)^(1/2)","A"
940,1,21,20,0.011000," ","int(1/x/(x^4+1)^(3/2),x)","-\frac{\arctanh \left(\frac{1}{\sqrt{x^{4}+1}}\right)}{2}+\frac{1}{2 \sqrt{x^{4}+1}}"," ",0,"1/2/(x^4+1)^(1/2)-1/2*arctanh(1/(x^4+1)^(1/2))","A"
941,1,33,32,0.013000," ","int(1/x^5/(x^4+1)^(3/2),x)","\frac{3 \arctanh \left(\frac{1}{\sqrt{x^{4}+1}}\right)}{4}-\frac{1}{4 \sqrt{x^{4}+1}\, x^{4}}-\frac{3}{4 \sqrt{x^{4}+1}}"," ",0,"-1/4/x^4/(x^4+1)^(1/2)-3/4/(x^4+1)^(1/2)+3/4*arctanh(1/(x^4+1)^(1/2))","A"
942,1,32,31,0.013000," ","int(x^9/(x^4+1)^(3/2),x)","\frac{x^{6}}{4 \sqrt{x^{4}+1}}+\frac{3 x^{2}}{4 \sqrt{x^{4}+1}}-\frac{3 \arcsinh \left(x^{2}\right)}{4}"," ",0,"1/4*x^6/(x^4+1)^(1/2)+3/4*x^2/(x^4+1)^(1/2)-3/4*arcsinh(x^2)","A"
943,1,20,19,0.011000," ","int(x^5/(x^4+1)^(3/2),x)","-\frac{x^{2}}{2 \sqrt{x^{4}+1}}+\frac{\arcsinh \left(x^{2}\right)}{2}"," ",0,"1/2*arcsinh(x^2)-1/2/(x^4+1)^(1/2)*x^2","A"
944,1,13,12,0.003000," ","int(x/(x^4+1)^(3/2),x)","\frac{x^{2}}{2 \sqrt{x^{4}+1}}"," ",0,"1/2/(x^4+1)^(1/2)*x^2","A"
945,1,20,25,0.005000," ","int(1/x^3/(x^4+1)^(3/2),x)","-\frac{2 x^{4}+1}{2 \sqrt{x^{4}+1}\, x^{2}}"," ",0,"-1/2*(2*x^4+1)/x^2/(x^4+1)^(1/2)","A"
946,1,25,37,0.003000," ","int(1/x^7/(x^4+1)^(3/2),x)","\frac{8 x^{8}+4 x^{4}-1}{6 \sqrt{x^{4}+1}\, x^{6}}"," ",0,"1/6*(8*x^8+4*x^4-1)/x^6/(x^4+1)^(1/2)","A"
947,1,94,91,0.007000," ","int(x^12/(x^4+1)^(3/2),x)","\frac{\sqrt{x^{4}+1}\, x^{5}}{7}-\frac{x}{2 \sqrt{x^{4}+1}}-\frac{4 \sqrt{x^{4}+1}\, x}{7}+\frac{15 \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{14 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"-1/2*x/(x^4+1)^(1/2)+1/7*(x^4+1)^(1/2)*x^5-4/7*(x^4+1)^(1/2)*x+15/14/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)","C"
948,1,82,79,0.010000," ","int(x^8/(x^4+1)^(3/2),x)","\frac{x}{2 \sqrt{x^{4}+1}}+\frac{\sqrt{x^{4}+1}\, x}{3}-\frac{5 \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{6 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"1/2/(x^4+1)^(1/2)*x+1/3*(x^4+1)^(1/2)*x-5/6/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)","C"
949,1,72,67,0.007000," ","int(x^4/(x^4+1)^(3/2),x)","-\frac{x}{2 \sqrt{x^{4}+1}}+\frac{\sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{2 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"-1/2/(x^4+1)^(1/2)*x+1/2/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)","C"
950,1,72,67,0.005000," ","int(1/(x^4+1)^(3/2),x)","\frac{x}{2 \sqrt{x^{4}+1}}+\frac{\sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{2 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"1/2/(x^4+1)^(1/2)*x+1/2/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)","C"
951,1,84,81,0.013000," ","int(1/x^4/(x^4+1)^(3/2),x)","-\frac{x}{2 \sqrt{x^{4}+1}}-\frac{5 \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{6 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}-\frac{\sqrt{x^{4}+1}}{3 x^{3}}"," ",0,"-1/3*(x^4+1)^(1/2)/x^3-1/2/(x^4+1)^(1/2)*x-5/6/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)","C"
952,1,96,93,0.018000," ","int(1/x^8/(x^4+1)^(3/2),x)","\frac{x}{2 \sqrt{x^{4}+1}}+\frac{15 \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{14 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}+\frac{4 \sqrt{x^{4}+1}}{7 x^{3}}-\frac{\sqrt{x^{4}+1}}{7 x^{7}}"," ",0,"-1/7*(x^4+1)^(1/2)/x^7+4/7*(x^4+1)^(1/2)/x^3+1/2/(x^4+1)^(1/2)*x+15/14/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)","C"
953,1,119,166,0.010000," ","int(x^14/(x^4+1)^(3/2),x)","\frac{\sqrt{x^{4}+1}\, x^{7}}{9}-\frac{x^{3}}{2 \sqrt{x^{4}+1}}-\frac{16 \sqrt{x^{4}+1}\, x^{3}}{45}+\frac{77 i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \left(-\EllipticE \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)+\EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)\right)}{30 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"-1/2*x^3/(x^4+1)^(1/2)+1/9*(x^4+1)^(1/2)*x^7-16/45*(x^4+1)^(1/2)*x^3+77/30*I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*(EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)-EllipticE((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I))","C"
954,1,107,154,0.009000," ","int(x^10/(x^4+1)^(3/2),x)","\frac{x^{3}}{2 \sqrt{x^{4}+1}}+\frac{\sqrt{x^{4}+1}\, x^{3}}{5}-\frac{21 i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \left(-\EllipticE \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)+\EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)\right)}{10 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"1/2/(x^4+1)^(1/2)*x^3+1/5*(x^4+1)^(1/2)*x^3-21/10*I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*(EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)-EllipticE((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I))","C"
955,1,95,142,0.008000," ","int(x^6/(x^4+1)^(3/2),x)","-\frac{x^{3}}{2 \sqrt{x^{4}+1}}+\frac{3 i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \left(-\EllipticE \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)+\EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)\right)}{2 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"-1/2/(x^4+1)^(1/2)*x^3+3/2*I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*(EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)-EllipticE((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I))","C"
956,1,95,142,0.007000," ","int(x^2/(x^4+1)^(3/2),x)","\frac{x^{3}}{2 \sqrt{x^{4}+1}}-\frac{i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \left(-\EllipticE \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)+\EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)\right)}{2 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"1/2/(x^4+1)^(1/2)*x^3-1/2*I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*(EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)-EllipticE((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I))","C"
957,1,107,154,0.013000," ","int(1/x^2/(x^4+1)^(3/2),x)","-\frac{x^{3}}{2 \sqrt{x^{4}+1}}-\frac{\sqrt{x^{4}+1}}{x}+\frac{3 i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \left(-\EllipticE \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)+\EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)\right)}{2 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"-1/2/(x^4+1)^(1/2)*x^3-(x^4+1)^(1/2)/x+3/2*I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*(EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)-EllipticE((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I))","C"
958,1,119,166,0.014000," ","int(1/x^6/(x^4+1)^(3/2),x)","\frac{x^{3}}{2 \sqrt{x^{4}+1}}+\frac{8 \sqrt{x^{4}+1}}{5 x}-\frac{\sqrt{x^{4}+1}}{5 x^{5}}-\frac{21 i \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \left(-\EllipticE \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)+\EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)\right)}{10 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"-1/5*(x^4+1)^(1/2)/x^5+8/5*(x^4+1)^(1/2)/x+1/2/(x^4+1)^(1/2)*x^3-21/10*I/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*(EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)-EllipticE((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I))","C"
959,1,82,77,0.008000," ","int(1/(x^4+1)^(5/2),x)","\frac{x}{6 \left(x^{4}+1\right)^{\frac{3}{2}}}+\frac{5 x}{12 \sqrt{x^{4}+1}}+\frac{5 \sqrt{-i x^{2}+1}\, \sqrt{i x^{2}+1}\, \EllipticF \left(\left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) x , i\right)}{12 \left(\frac{\sqrt{2}}{2}+\frac{i \sqrt{2}}{2}\right) \sqrt{x^{4}+1}}"," ",0,"1/6*x/(x^4+1)^(3/2)+5/12/(x^4+1)^(1/2)*x+5/12/(1/2*2^(1/2)+1/2*I*2^(1/2))*(-I*x^2+1)^(1/2)*(I*x^2+1)^(1/2)/(x^4+1)^(1/2)*EllipticF((1/2*2^(1/2)+1/2*I*2^(1/2))*x,I)","C"
960,1,28,23,0.007000," ","int(x^7/(-x^4+16)^(1/2),x)","\frac{\left(x -2\right) \left(x +2\right) \left(x^{2}+4\right) \left(x^{4}+32\right)}{6 \sqrt{-x^{4}+16}}"," ",0,"1/6*(x-2)*(2+x)*(x^2+4)*(x^4+32)/(-x^4+16)^(1/2)","A"
961,1,24,23,0.015000," ","int(x^5/(-x^4+16)^(1/2),x)","-\frac{\sqrt{-x^{4}+16}\, x^{2}}{4}+4 \arcsin \left(\frac{x^{2}}{4}\right)"," ",0,"4*arcsin(1/4*x^2)-1/4*x^2*(-x^4+16)^(1/2)","A"
962,1,23,11,0.007000," ","int(x^3/(-x^4+16)^(1/2),x)","\frac{\left(x -2\right) \left(x +2\right) \left(x^{2}+4\right)}{2 \sqrt{-x^{4}+16}}"," ",0,"1/2*(x-2)*(x+2)*(x^2+4)/(-x^4+16)^(1/2)","A"
963,1,9,8,0.010000," ","int(x/(-x^4+16)^(1/2),x)","\frac{\arcsin \left(\frac{x^{2}}{4}\right)}{2}"," ",0,"1/2*arcsin(1/4*x^2)","A"
964,1,15,14,0.010000," ","int(1/x/(-x^4+16)^(1/2),x)","-\frac{\arctanh \left(\frac{4}{\sqrt{-x^{4}+16}}\right)}{8}"," ",0,"-1/8*arctanh(4/(-x^4+16)^(1/2))","A"
965,1,26,14,0.005000," ","int(1/x^3/(-x^4+16)^(1/2),x)","\frac{\left(x -2\right) \left(x +2\right) \left(x^{2}+4\right)}{32 \sqrt{-x^{4}+16}\, x^{2}}"," ",0,"1/32/x^2*(x-2)*(x+2)*(x^2+4)/(-x^4+16)^(1/2)","A"
966,1,30,29,0.012000," ","int(1/x^5/(-x^4+16)^(1/2),x)","-\frac{\arctanh \left(\frac{4}{\sqrt{-x^{4}+16}}\right)}{256}-\frac{\sqrt{-x^{4}+16}}{64 x^{4}}"," ",0,"-1/64*(-x^4+16)^(1/2)/x^4-1/256*arctanh(4/(-x^4+16)^(1/2))","A"
967,1,31,29,0.005000," ","int(1/x^7/(-x^4+16)^(1/2),x)","\frac{\left(x -2\right) \left(x +2\right) \left(x^{2}+4\right) \left(x^{4}+8\right)}{768 \sqrt{-x^{4}+16}\, x^{6}}"," ",0,"1/768*(x-2)*(x+2)*(x^2+4)*(x^4+8)/x^6/(-x^4+16)^(1/2)","A"
968,1,58,31,0.010000," ","int(x^6/(-x^4+16)^(1/2),x)","-\frac{\sqrt{-x^{4}+16}\, x^{3}}{5}-\frac{96 \sqrt{-x^{2}+4}\, \sqrt{x^{2}+4}\, \left(-\EllipticE \left(\frac{x}{2}, i\right)+\EllipticF \left(\frac{x}{2}, i\right)\right)}{5 \sqrt{-x^{4}+16}}"," ",0,"-1/5*x^3*(-x^4+16)^(1/2)-96/5*(-x^2+4)^(1/2)*(x^2+4)^(1/2)/(-x^4+16)^(1/2)*(EllipticF(1/2*x,I)-EllipticE(1/2*x,I))","A"
969,1,47,21,0.007000," ","int(x^4/(-x^4+16)^(1/2),x)","-\frac{\sqrt{-x^{4}+16}\, x}{3}+\frac{8 \sqrt{-x^{2}+4}\, \sqrt{x^{2}+4}\, \EllipticF \left(\frac{x}{2}, i\right)}{3 \sqrt{-x^{4}+16}}"," ",0,"-1/3*x*(-x^4+16)^(1/2)+8/3*(-x^2+4)^(1/2)*(x^2+4)^(1/2)/(-x^4+16)^(1/2)*EllipticF(1/2*x,I)","B"
970,1,43,17,0.007000," ","int(x^2/(-x^4+16)^(1/2),x)","-\frac{2 \sqrt{-x^{2}+4}\, \sqrt{x^{2}+4}\, \left(-\EllipticE \left(\frac{x}{2}, i\right)+\EllipticF \left(\frac{x}{2}, i\right)\right)}{\sqrt{-x^{4}+16}}"," ",0,"-2*(-x^2+4)^(1/2)*(x^2+4)^(1/2)/(-x^4+16)^(1/2)*(EllipticF(1/2*x,I)-EllipticE(1/2*x,I))","B"
971,1,34,8,0.006000," ","int(1/(-x^4+16)^(1/2),x)","\frac{\sqrt{-x^{2}+4}\, \sqrt{x^{2}+4}\, \EllipticF \left(\frac{x}{2}, i\right)}{2 \sqrt{-x^{4}+16}}"," ",0,"1/2*(-x^2+4)^(1/2)*(x^2+4)^(1/2)/(-x^4+16)^(1/2)*EllipticF(1/2*x,I)","B"
972,1,58,31,0.010000," ","int(1/x^2/(-x^4+16)^(1/2),x)","-\frac{\sqrt{-x^{4}+16}}{16 x}+\frac{\sqrt{-x^{2}+4}\, \sqrt{x^{2}+4}\, \left(-\EllipticE \left(\frac{x}{2}, i\right)+\EllipticF \left(\frac{x}{2}, i\right)\right)}{8 \sqrt{-x^{4}+16}}"," ",0,"-1/16*(-x^4+16)^(1/2)/x+1/8*(-x^2+4)^(1/2)*(x^2+4)^(1/2)/(-x^4+16)^(1/2)*(EllipticF(1/2*x,I)-EllipticE(1/2*x,I))","A"
973,1,49,23,0.012000," ","int(1/x^4/(-x^4+16)^(1/2),x)","\frac{\sqrt{-x^{2}+4}\, \sqrt{x^{2}+4}\, \EllipticF \left(\frac{x}{2}, i\right)}{96 \sqrt{-x^{4}+16}}-\frac{\sqrt{-x^{4}+16}}{48 x^{3}}"," ",0,"-1/48*(-x^4+16)^(1/2)/x^3+1/96*(-x^2+4)^(1/2)*(x^2+4)^(1/2)/(-x^4+16)^(1/2)*EllipticF(1/2*x,I)","B"
974,1,15,14,0.010000," ","int(x/(x^4-4)^(1/2),x)","\frac{\ln \left(x^{2}+\sqrt{x^{4}-4}\right)}{2}"," ",0,"1/2*ln(x^2+(x^4-4)^(1/2))","A"
975,1,9,8,0.010000," ","int(x/(x^4+4)^(1/2),x)","\frac{\arcsinh \left(\frac{x^{2}}{2}\right)}{2}"," ",0,"1/2*arcsinh(1/2*x^2)","A"
976,1,11,10,0.011000," ","int(1/x/(x^4-1)^(1/2),x)","-\frac{\arctan \left(\frac{1}{\sqrt{x^{4}-1}}\right)}{2}"," ",0,"-1/2*arctan(1/(x^4-1)^(1/2))","A"
977,1,45,55,0.010000," ","int(x^4/(x^4-1)^(1/2),x)","\frac{\sqrt{x^{4}-1}\, x}{3}-\frac{i \sqrt{x^{2}+1}\, \sqrt{-x^{2}+1}\, \EllipticF \left(i x , i\right)}{3 \sqrt{x^{4}-1}}"," ",0,"1/3*x*(x^4-1)^(1/2)-1/3*I*(x^2+1)^(1/2)*(-x^2+1)^(1/2)/(x^4-1)^(1/2)*EllipticF(I*x,I)","C"
978,1,34,44,0.006000," ","int(1/(x^4-1)^(1/2),x)","-\frac{i \sqrt{x^{2}+1}\, \sqrt{-x^{2}+1}\, \EllipticF \left(i x , i\right)}{\sqrt{x^{4}-1}}"," ",0,"-I*(x^2+1)^(1/2)*(-x^2+1)^(1/2)/(x^4-1)^(1/2)*EllipticF(I*x,I)","C"
979,1,47,57,0.012000," ","int(1/x^4/(x^4-1)^(1/2),x)","-\frac{i \sqrt{x^{2}+1}\, \sqrt{-x^{2}+1}\, \EllipticF \left(i x , i\right)}{3 \sqrt{x^{4}-1}}+\frac{\sqrt{x^{4}-1}}{3 x^{3}}"," ",0,"1/3*(x^4-1)^(1/2)/x^3-1/3*I*(x^2+1)^(1/2)*(-x^2+1)^(1/2)/(x^4-1)^(1/2)*EllipticF(I*x,I)","C"
980,1,57,116,0.010000," ","int(x^6/(x^4-1)^(1/2),x)","\frac{\sqrt{x^{4}-1}\, x^{3}}{5}-\frac{3 i \sqrt{x^{2}+1}\, \sqrt{-x^{2}+1}\, \left(-\EllipticE \left(i x , i\right)+\EllipticF \left(i x , i\right)\right)}{5 \sqrt{x^{4}-1}}"," ",0,"1/5*x^3*(x^4-1)^(1/2)-3/5*I*(x^2+1)^(1/2)*(-x^2+1)^(1/2)/(x^4-1)^(1/2)*(EllipticF(I*x,I)-EllipticE(I*x,I))","C"
981,1,44,103,0.007000," ","int(x^2/(x^4-1)^(1/2),x)","-\frac{i \sqrt{x^{2}+1}\, \sqrt{-x^{2}+1}\, \left(-\EllipticE \left(i x , i\right)+\EllipticF \left(i x , i\right)\right)}{\sqrt{x^{4}-1}}"," ",0,"-I*(x^2+1)^(1/2)*(-x^2+1)^(1/2)/(x^4-1)^(1/2)*(EllipticF(I*x,I)-EllipticE(I*x,I))","C"
982,1,56,114,0.010000," ","int(1/x^2/(x^4-1)^(1/2),x)","\frac{\sqrt{x^{4}-1}}{x}+\frac{i \sqrt{x^{2}+1}\, \sqrt{-x^{2}+1}\, \left(-\EllipticE \left(i x , i\right)+\EllipticF \left(i x , i\right)\right)}{\sqrt{x^{4}-1}}"," ",0,"(x^4-1)^(1/2)/x+I*(x^2+1)^(1/2)*(-x^2+1)^(1/2)/(x^4-1)^(1/2)*(EllipticF(I*x,I)-EllipticE(I*x,I))","C"
983,1,69,41,0.044000," ","int(x^2/(-2*x^4+3)^(1/2),x)","-\frac{\sqrt{3}\, 6^{\frac{1}{4}} \sqrt{-3 \sqrt{6}\, x^{2}+9}\, \sqrt{3 \sqrt{6}\, x^{2}+9}\, \left(-\EllipticE \left(\frac{\sqrt{3}\, 6^{\frac{1}{4}} x}{3}, i\right)+\EllipticF \left(\frac{\sqrt{3}\, 6^{\frac{1}{4}} x}{3}, i\right)\right)}{18 \sqrt{-2 x^{4}+3}}"," ",0,"-1/18*3^(1/2)*6^(1/4)*(9-3*6^(1/2)*x^2)^(1/2)*(9+3*6^(1/2)*x^2)^(1/2)/(-2*x^4+3)^(1/2)*(EllipticF(1/3*x*3^(1/2)*6^(1/4),I)-EllipticE(1/3*x*3^(1/2)*6^(1/4),I))","A"
984,1,94,40,0.014000," ","int(x^2/(-b*x^4+3)^(1/2),x)","-\frac{\sqrt{-3 \sqrt{3}\, \sqrt{b}\, x^{2}+9}\, \sqrt{3 \sqrt{3}\, \sqrt{b}\, x^{2}+9}\, \left(-\EllipticE \left(\frac{\sqrt{3}\, \sqrt{\sqrt{3}\, \sqrt{b}}\, x}{3}, i\right)+\EllipticF \left(\frac{\sqrt{3}\, \sqrt{\sqrt{3}\, \sqrt{b}}\, x}{3}, i\right)\right)}{3 \sqrt{\sqrt{3}\, \sqrt{b}}\, \sqrt{-b \,x^{4}+3}\, \sqrt{b}}"," ",0,"-1/3/(3^(1/2)*b^(1/2))^(1/2)*(9-3*3^(1/2)*b^(1/2)*x^2)^(1/2)*(9+3*3^(1/2)*b^(1/2)*x^2)^(1/2)/(-b*x^4+3)^(1/2)/b^(1/2)*(EllipticF(1/3*x*3^(1/2)*(3^(1/2)*b^(1/2))^(1/2),I)-EllipticE(1/3*x*3^(1/2)*(3^(1/2)*b^(1/2))^(1/2),I))","B"
985,1,17,19,0.004000," ","int(x^7*(x^4+1)^(1/3),x)","\frac{3 \left(x^{4}+1\right)^{\frac{4}{3}} \left(4 x^{4}-3\right)}{112}"," ",0,"3/112*(x^4+1)^(4/3)*(4*x^4-3)","A"
986,1,10,9,0.004000," ","int(x^3/(x^4+1)^(4/3),x)","-\frac{3}{4 \left(x^{4}+1\right)^{\frac{1}{3}}}"," ",0,"-3/4/(x^4+1)^(1/3)","A"
987,1,10,9,0.004000," ","int(x^3/(x^4+1)^(1/3),x)","\frac{3 \left(x^{4}+1\right)^{\frac{2}{3}}}{8}"," ",0,"3/8*(x^4+1)^(2/3)","A"
988,1,58,81,0.010000," ","int(x^19*(b*x^4+a)^(1/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}} \left(3315 x^{16} b^{4}-3120 a \,x^{12} b^{3}+2880 a^{2} x^{8} b^{2}-2560 a^{3} x^{4} b +2048 a^{4}\right)}{69615 b^{5}}"," ",0,"1/69615*(b*x^4+a)^(5/4)*(3315*b^4*x^16-3120*a*b^3*x^12+2880*a^2*b^2*x^8-2560*a^3*b*x^4+2048*a^4)/b^5","A"
989,1,47,64,0.007000," ","int(x^15*(b*x^4+a)^(1/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}} \left(-195 b^{3} x^{12}+180 a \,b^{2} x^{8}-160 a^{2} b \,x^{4}+128 a^{3}\right)}{3315 b^{4}}"," ",0,"-1/3315*(b*x^4+a)^(5/4)*(-195*b^3*x^12+180*a*b^2*x^8-160*a^2*b*x^4+128*a^3)/b^4","A"
990,1,36,47,0.006000," ","int(x^11*(b*x^4+a)^(1/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}} \left(45 b^{2} x^{8}-40 a b \,x^{4}+32 a^{2}\right)}{585 b^{3}}"," ",0,"1/585*(b*x^4+a)^(5/4)*(45*b^2*x^8-40*a*b*x^4+32*a^2)/b^3","A"
991,1,25,30,0.006000," ","int(x^7*(b*x^4+a)^(1/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}} \left(-5 b \,x^{4}+4 a \right)}{45 b^{2}}"," ",0,"-1/45*(b*x^4+a)^(5/4)*(-5*b*x^4+4*a)/b^2","A"
992,1,15,14,0.006000," ","int(x^3*(b*x^4+a)^(1/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{5 b}"," ",0,"1/5*(b*x^4+a)^(5/4)/b","A"
993,0,0,48,0.149000," ","int((b*x^4+a)^(1/4)/x,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}{x}\, dx"," ",0,"int((b*x^4+a)^(1/4)/x,x)","F"
994,0,0,55,0.181000," ","int((b*x^4+a)^(1/4)/x^5,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{5}}\, dx"," ",0,"int((b*x^4+a)^(1/4)/x^5,x)","F"
995,0,0,77,0.149000," ","int((b*x^4+a)^(1/4)/x^9,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{9}}\, dx"," ",0,"int((b*x^4+a)^(1/4)/x^9,x)","F"
996,0,0,134,0.149000," ","int(x^9*(b*x^4+a)^(1/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{9}\, dx"," ",0,"int(x^9*(b*x^4+a)^(1/4),x)","F"
997,0,0,114,0.139000," ","int(x^5*(b*x^4+a)^(1/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{5}\, dx"," ",0,"int(x^5*(b*x^4+a)^(1/4),x)","F"
998,0,0,96,0.138000," ","int(x*(b*x^4+a)^(1/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{1}{4}} x\, dx"," ",0,"int(x*(b*x^4+a)^(1/4),x)","F"
999,0,0,96,0.138000," ","int((b*x^4+a)^(1/4)/x^3,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{3}}\, dx"," ",0,"int((b*x^4+a)^(1/4)/x^3,x)","F"
1000,0,0,114,0.135000," ","int((b*x^4+a)^(1/4)/x^7,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{7}}\, dx"," ",0,"int((b*x^4+a)^(1/4)/x^7,x)","F"
1001,0,0,134,0.135000," ","int((b*x^4+a)^(1/4)/x^11,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{11}}\, dx"," ",0,"int((b*x^4+a)^(1/4)/x^11,x)","F"
1002,0,0,79,0.138000," ","int(x^6*(b*x^4+a)^(1/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{6}\, dx"," ",0,"int(x^6*(b*x^4+a)^(1/4),x)","F"
1003,0,0,57,0.138000," ","int(x^2*(b*x^4+a)^(1/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{2}\, dx"," ",0,"int(x^2*(b*x^4+a)^(1/4),x)","F"
1004,0,0,55,0.146000," ","int((b*x^4+a)^(1/4)/x^2,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{2}}\, dx"," ",0,"int((b*x^4+a)^(1/4)/x^2,x)","F"
1005,1,18,17,0.004000," ","int((b*x^4+a)^(1/4)/x^6,x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{5 a \,x^{5}}"," ",0,"-1/5*(b*x^4+a)^(5/4)/a/x^5","A"
1006,1,28,36,0.005000," ","int((b*x^4+a)^(1/4)/x^10,x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}} \left(-4 b \,x^{4}+5 a \right)}{45 a^{2} x^{9}}"," ",0,"-1/45*(b*x^4+a)^(5/4)*(-4*b*x^4+5*a)/a^2/x^9","A"
1007,1,39,56,0.005000," ","int((b*x^4+a)^(1/4)/x^14,x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}} \left(32 b^{2} x^{8}-40 a b \,x^{4}+45 a^{2}\right)}{585 a^{3} x^{13}}"," ",0,"-1/585*(b*x^4+a)^(5/4)*(32*b^2*x^8-40*a*b*x^4+45*a^2)/x^13/a^3","A"
1008,1,50,76,0.007000," ","int((b*x^4+a)^(1/4)/x^18,x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}} \left(-128 b^{3} x^{12}+160 a \,b^{2} x^{8}-180 a^{2} b \,x^{4}+195 a^{3}\right)}{3315 a^{4} x^{17}}"," ",0,"-1/3315*(b*x^4+a)^(5/4)*(-128*b^3*x^12+160*a*b^2*x^8-180*a^2*b*x^4+195*a^3)/x^17/a^4","A"
1009,0,0,155,0.138000," ","int(x^12*(b*x^4+a)^(1/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{12}\, dx"," ",0,"int(x^12*(b*x^4+a)^(1/4),x)","F"
1010,0,0,135,0.142000," ","int(x^8*(b*x^4+a)^(1/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{8}\, dx"," ",0,"int(x^8*(b*x^4+a)^(1/4),x)","F"
1011,0,0,115,0.159000," ","int(x^4*(b*x^4+a)^(1/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{4}\, dx"," ",0,"int(x^4*(b*x^4+a)^(1/4),x)","F"
1012,0,0,97,0.154000," ","int((b*x^4+a)^(1/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{1}{4}}\, dx"," ",0,"int((b*x^4+a)^(1/4),x)","F"
1013,0,0,99,0.138000," ","int((b*x^4+a)^(1/4)/x^4,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{4}}\, dx"," ",0,"int((b*x^4+a)^(1/4)/x^4,x)","F"
1014,0,0,117,0.138000," ","int((b*x^4+a)^(1/4)/x^8,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{8}}\, dx"," ",0,"int((b*x^4+a)^(1/4)/x^8,x)","F"
1015,0,0,137,0.135000," ","int((b*x^4+a)^(1/4)/x^12,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{12}}\, dx"," ",0,"int((b*x^4+a)^(1/4)/x^12,x)","F"
1016,0,0,157,0.133000," ","int((b*x^4+a)^(1/4)/x^16,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{16}}\, dx"," ",0,"int((b*x^4+a)^(1/4)/x^16,x)","F"
1017,1,58,81,0.010000," ","int(x^19*(b*x^4+a)^(3/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{7}{4}} \left(7315 x^{16} b^{4}-6160 a \,x^{12} b^{3}+4928 a^{2} x^{8} b^{2}-3584 a^{3} x^{4} b +2048 a^{4}\right)}{168245 b^{5}}"," ",0,"1/168245*(b*x^4+a)^(7/4)*(7315*b^4*x^16-6160*a*b^3*x^12+4928*a^2*b^2*x^8-3584*a^3*b*x^4+2048*a^4)/b^5","A"
1018,1,47,64,0.008000," ","int(x^15*(b*x^4+a)^(3/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{7}{4}} \left(-385 b^{3} x^{12}+308 a \,b^{2} x^{8}-224 a^{2} b \,x^{4}+128 a^{3}\right)}{7315 b^{4}}"," ",0,"-1/7315*(b*x^4+a)^(7/4)*(-385*b^3*x^12+308*a*b^2*x^8-224*a^2*b*x^4+128*a^3)/b^4","A"
1019,1,36,47,0.006000," ","int(x^11*(b*x^4+a)^(3/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{7}{4}} \left(77 b^{2} x^{8}-56 a b \,x^{4}+32 a^{2}\right)}{1155 b^{3}}"," ",0,"1/1155*(b*x^4+a)^(7/4)*(77*b^2*x^8-56*a*b*x^4+32*a^2)/b^3","A"
1020,1,25,30,0.005000," ","int(x^7*(b*x^4+a)^(3/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{7}{4}} \left(-7 b \,x^{4}+4 a \right)}{77 b^{2}}"," ",0,"-1/77*(b*x^4+a)^(7/4)*(-7*b*x^4+4*a)/b^2","A"
1021,1,15,14,0.003000," ","int(x^3*(b*x^4+a)^(3/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{7}{4}}}{7 b}"," ",0,"1/7*(b*x^4+a)^(7/4)/b","A"
1022,0,0,50,0.154000," ","int((b*x^4+a)^(3/4)/x,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}{x}\, dx"," ",0,"int((b*x^4+a)^(3/4)/x,x)","F"
1023,0,0,55,0.138000," ","int((b*x^4+a)^(3/4)/x^5,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}{x^{5}}\, dx"," ",0,"int((b*x^4+a)^(3/4)/x^5,x)","F"
1024,0,0,77,0.145000," ","int((b*x^4+a)^(3/4)/x^9,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}{x^{9}}\, dx"," ",0,"int((b*x^4+a)^(3/4)/x^9,x)","F"
1025,0,0,154,0.151000," ","int(x^9*(b*x^4+a)^(3/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{9}\, dx"," ",0,"int(x^9*(b*x^4+a)^(3/4),x)","F"
1026,0,0,134,0.138000," ","int(x^5*(b*x^4+a)^(3/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{5}\, dx"," ",0,"int(x^5*(b*x^4+a)^(3/4),x)","F"
1027,0,0,111,0.134000," ","int(x*(b*x^4+a)^(3/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{3}{4}} x\, dx"," ",0,"int(x*(b*x^4+a)^(3/4),x)","F"
1028,0,0,111,0.135000," ","int((b*x^4+a)^(3/4)/x^3,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}{x^{3}}\, dx"," ",0,"int((b*x^4+a)^(3/4)/x^3,x)","F"
1029,0,0,134,0.138000," ","int((b*x^4+a)^(3/4)/x^7,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}{x^{7}}\, dx"," ",0,"int((b*x^4+a)^(3/4)/x^7,x)","F"
1030,0,0,154,0.140000," ","int((b*x^4+a)^(3/4)/x^11,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}{x^{11}}\, dx"," ",0,"int((b*x^4+a)^(3/4)/x^11,x)","F"
1031,0,0,117,0.136000," ","int(x^12*(b*x^4+a)^(3/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{12}\, dx"," ",0,"int(x^12*(b*x^4+a)^(3/4),x)","F"
1032,0,0,97,0.144000," ","int(x^8*(b*x^4+a)^(3/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{8}\, dx"," ",0,"int(x^8*(b*x^4+a)^(3/4),x)","F"
1033,0,0,77,0.137000," ","int(x^4*(b*x^4+a)^(3/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{4}\, dx"," ",0,"int(x^4*(b*x^4+a)^(3/4),x)","F"
1034,0,0,55,0.154000," ","int((b*x^4+a)^(3/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{3}{4}}\, dx"," ",0,"int((b*x^4+a)^(3/4),x)","F"
1035,0,0,55,0.142000," ","int((b*x^4+a)^(3/4)/x^4,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}{x^{4}}\, dx"," ",0,"int((b*x^4+a)^(3/4)/x^4,x)","F"
1036,1,18,17,0.004000," ","int((b*x^4+a)^(3/4)/x^8,x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{7}{4}}}{7 a \,x^{7}}"," ",0,"-1/7*(b*x^4+a)^(7/4)/a/x^7","A"
1037,1,28,36,0.005000," ","int((b*x^4+a)^(3/4)/x^12,x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{7}{4}} \left(-4 b \,x^{4}+7 a \right)}{77 a^{2} x^{11}}"," ",0,"-1/77*(b*x^4+a)^(7/4)*(-4*b*x^4+7*a)/x^11/a^2","A"
1038,1,39,56,0.007000," ","int((b*x^4+a)^(3/4)/x^16,x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{7}{4}} \left(32 b^{2} x^{8}-56 a b \,x^{4}+77 a^{2}\right)}{1155 a^{3} x^{15}}"," ",0,"-1/1155*(b*x^4+a)^(7/4)*(32*b^2*x^8-56*a*b*x^4+77*a^2)/a^3/x^15","A"
1039,1,50,76,0.007000," ","int((b*x^4+a)^(3/4)/x^20,x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{7}{4}} \left(-128 b^{3} x^{12}+224 a \,b^{2} x^{8}-308 a^{2} b \,x^{4}+385 a^{3}\right)}{7315 a^{4} x^{19}}"," ",0,"-1/7315*(b*x^4+a)^(7/4)*(-128*b^3*x^12+224*a*b^2*x^8-308*a^2*b*x^4+385*a^3)/x^19/a^4","A"
1040,0,0,155,0.141000," ","int(x^10*(b*x^4+a)^(3/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{10}\, dx"," ",0,"int(x^10*(b*x^4+a)^(3/4),x)","F"
1041,0,0,135,0.143000," ","int(x^6*(b*x^4+a)^(3/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{6}\, dx"," ",0,"int(x^6*(b*x^4+a)^(3/4),x)","F"
1042,0,0,112,0.141000," ","int(x^2*(b*x^4+a)^(3/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{2}\, dx"," ",0,"int(x^2*(b*x^4+a)^(3/4),x)","F"
1043,0,0,112,0.155000," ","int((b*x^4+a)^(3/4)/x^2,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}{x^{2}}\, dx"," ",0,"int((b*x^4+a)^(3/4)/x^2,x)","F"
1044,0,0,112,0.141000," ","int((b*x^4+a)^(3/4)/x^6,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}{x^{6}}\, dx"," ",0,"int((b*x^4+a)^(3/4)/x^6,x)","F"
1045,0,0,135,0.142000," ","int((b*x^4+a)^(3/4)/x^10,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}{x^{10}}\, dx"," ",0,"int((b*x^4+a)^(3/4)/x^10,x)","F"
1046,0,0,155,0.141000," ","int((b*x^4+a)^(3/4)/x^14,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}{x^{14}}\, dx"," ",0,"int((b*x^4+a)^(3/4)/x^14,x)","F"
1047,1,58,81,0.008000," ","int(x^19*(b*x^4+a)^(5/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{9}{4}} \left(13923 x^{16} b^{4}-10608 a \,x^{12} b^{3}+7488 a^{2} x^{8} b^{2}-4608 a^{3} x^{4} b +2048 a^{4}\right)}{348075 b^{5}}"," ",0,"1/348075*(b*x^4+a)^(9/4)*(13923*b^4*x^16-10608*a*b^3*x^12+7488*a^2*b^2*x^8-4608*a^3*b*x^4+2048*a^4)/b^5","A"
1048,1,47,64,0.007000," ","int(x^15*(b*x^4+a)^(5/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{9}{4}} \left(-663 b^{3} x^{12}+468 a \,b^{2} x^{8}-288 a^{2} b \,x^{4}+128 a^{3}\right)}{13923 b^{4}}"," ",0,"-1/13923*(b*x^4+a)^(9/4)*(-663*b^3*x^12+468*a*b^2*x^8-288*a^2*b*x^4+128*a^3)/b^4","A"
1049,1,36,47,0.005000," ","int(x^11*(b*x^4+a)^(5/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{9}{4}} \left(117 b^{2} x^{8}-72 a b \,x^{4}+32 a^{2}\right)}{1989 b^{3}}"," ",0,"1/1989*(b*x^4+a)^(9/4)*(117*b^2*x^8-72*a*b*x^4+32*a^2)/b^3","A"
1050,1,25,30,0.005000," ","int(x^7*(b*x^4+a)^(5/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{9}{4}} \left(-9 b \,x^{4}+4 a \right)}{117 b^{2}}"," ",0,"-1/117*(b*x^4+a)^(9/4)*(-9*b*x^4+4*a)/b^2","A"
1051,1,15,14,0.004000," ","int(x^3*(b*x^4+a)^(5/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{9}{4}}}{9 b}"," ",0,"1/9*(b*x^4+a)^(9/4)/b","A"
1052,0,0,61,0.151000," ","int((b*x^4+a)^(5/4)/x,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{x}\, dx"," ",0,"int((b*x^4+a)^(5/4)/x,x)","F"
1053,0,0,67,0.161000," ","int((b*x^4+a)^(5/4)/x^5,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{x^{5}}\, dx"," ",0,"int((b*x^4+a)^(5/4)/x^5,x)","F"
1054,0,0,74,0.179000," ","int((b*x^4+a)^(5/4)/x^9,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{x^{9}}\, dx"," ",0,"int((b*x^4+a)^(5/4)/x^9,x)","F"
1055,0,0,151,0.141000," ","int(x^9*(b*x^4+a)^(5/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{9}\, dx"," ",0,"int(x^9*(b*x^4+a)^(5/4),x)","F"
1056,0,0,131,0.140000," ","int(x^5*(b*x^4+a)^(5/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{5}\, dx"," ",0,"int(x^5*(b*x^4+a)^(5/4),x)","F"
1057,0,0,111,0.142000," ","int(x*(b*x^4+a)^(5/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{5}{4}} x\, dx"," ",0,"int(x*(b*x^4+a)^(5/4),x)","F"
1058,0,0,111,0.143000," ","int((b*x^4+a)^(5/4)/x^3,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{x^{3}}\, dx"," ",0,"int((b*x^4+a)^(5/4)/x^3,x)","F"
1059,0,0,111,0.145000," ","int((b*x^4+a)^(5/4)/x^7,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{x^{7}}\, dx"," ",0,"int((b*x^4+a)^(5/4)/x^7,x)","F"
1060,0,0,131,0.143000," ","int((b*x^4+a)^(5/4)/x^11,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{x^{11}}\, dx"," ",0,"int((b*x^4+a)^(5/4)/x^11,x)","F"
1061,0,0,151,0.148000," ","int((b*x^4+a)^(5/4)/x^15,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{x^{15}}\, dx"," ",0,"int((b*x^4+a)^(5/4)/x^15,x)","F"
1062,0,0,116,0.142000," ","int(x^10*(b*x^4+a)^(5/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{10}\, dx"," ",0,"int(x^10*(b*x^4+a)^(5/4),x)","F"
1063,0,0,96,0.153000," ","int(x^6*(b*x^4+a)^(5/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{6}\, dx"," ",0,"int(x^6*(b*x^4+a)^(5/4),x)","F"
1064,0,0,76,0.144000," ","int(x^2*(b*x^4+a)^(5/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{2}\, dx"," ",0,"int(x^2*(b*x^4+a)^(5/4),x)","F"
1065,0,0,72,0.143000," ","int((b*x^4+a)^(5/4)/x^2,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{x^{2}}\, dx"," ",0,"int((b*x^4+a)^(5/4)/x^2,x)","F"
1066,0,0,70,0.140000," ","int((b*x^4+a)^(5/4)/x^6,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{x^{6}}\, dx"," ",0,"int((b*x^4+a)^(5/4)/x^6,x)","F"
1067,1,18,17,0.006000," ","int((b*x^4+a)^(5/4)/x^10,x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{9}{4}}}{9 a \,x^{9}}"," ",0,"-1/9*(b*x^4+a)^(9/4)/a/x^9","A"
1068,1,28,36,0.006000," ","int((b*x^4+a)^(5/4)/x^14,x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{9}{4}} \left(-4 b \,x^{4}+9 a \right)}{117 a^{2} x^{13}}"," ",0,"-1/117*(b*x^4+a)^(9/4)*(-4*b*x^4+9*a)/x^13/a^2","A"
1069,1,39,56,0.007000," ","int((b*x^4+a)^(5/4)/x^18,x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{9}{4}} \left(32 b^{2} x^{8}-72 a b \,x^{4}+117 a^{2}\right)}{1989 a^{3} x^{17}}"," ",0,"-1/1989*(b*x^4+a)^(9/4)*(32*b^2*x^8-72*a*b*x^4+117*a^2)/x^17/a^3","A"
1070,1,50,76,0.009000," ","int((b*x^4+a)^(5/4)/x^22,x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{9}{4}} \left(-128 b^{3} x^{12}+288 a \,b^{2} x^{8}-468 a^{2} b \,x^{4}+663 a^{3}\right)}{13923 a^{4} x^{21}}"," ",0,"-1/13923*(b*x^4+a)^(9/4)*(-128*b^3*x^12+288*a*b^2*x^8-468*a^2*b*x^4+663*a^3)/x^21/a^4","A"
1071,0,0,172,0.140000," ","int(x^12*(b*x^4+a)^(5/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{12}\, dx"," ",0,"int(x^12*(b*x^4+a)^(5/4),x)","F"
1072,0,0,152,0.143000," ","int(x^8*(b*x^4+a)^(5/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{8}\, dx"," ",0,"int(x^8*(b*x^4+a)^(5/4),x)","F"
1073,0,0,132,0.142000," ","int(x^4*(b*x^4+a)^(5/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{4}\, dx"," ",0,"int(x^4*(b*x^4+a)^(5/4),x)","F"
1074,0,0,110,0.161000," ","int((b*x^4+a)^(5/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{5}{4}}\, dx"," ",0,"int((b*x^4+a)^(5/4),x)","F"
1075,0,0,112,0.153000," ","int((b*x^4+a)^(5/4)/x^4,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{x^{4}}\, dx"," ",0,"int((b*x^4+a)^(5/4)/x^4,x)","F"
1076,0,0,114,0.139000," ","int((b*x^4+a)^(5/4)/x^8,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{x^{8}}\, dx"," ",0,"int((b*x^4+a)^(5/4)/x^8,x)","F"
1077,0,0,134,0.143000," ","int((b*x^4+a)^(5/4)/x^12,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{x^{12}}\, dx"," ",0,"int((b*x^4+a)^(5/4)/x^12,x)","F"
1078,0,0,154,0.148000," ","int((b*x^4+a)^(5/4)/x^16,x)","\int \frac{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}{x^{16}}\, dx"," ",0,"int((b*x^4+a)^(5/4)/x^16,x)","F"
1079,0,0,72,0.160000," ","int((b*x^4+a)^(7/4),x)","\int \left(b \,x^{4}+a \right)^{\frac{7}{4}}\, dx"," ",0,"int((b*x^4+a)^(7/4),x)","F"
1080,1,58,81,0.010000," ","int(x^19/(b*x^4+a)^(1/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}} \left(1155 x^{16} b^{4}-1232 a \,x^{12} b^{3}+1344 a^{2} x^{8} b^{2}-1536 a^{3} x^{4} b +2048 a^{4}\right)}{21945 b^{5}}"," ",0,"1/21945*(b*x^4+a)^(3/4)*(1155*b^4*x^16-1232*a*b^3*x^12+1344*a^2*b^2*x^8-1536*a^3*b*x^4+2048*a^4)/b^5","A"
1081,1,47,64,0.007000," ","int(x^15/(b*x^4+a)^(1/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}} \left(-77 b^{3} x^{12}+84 a \,b^{2} x^{8}-96 a^{2} b \,x^{4}+128 a^{3}\right)}{1155 b^{4}}"," ",0,"-1/1155*(b*x^4+a)^(3/4)*(-77*b^3*x^12+84*a*b^2*x^8-96*a^2*b*x^4+128*a^3)/b^4","A"
1082,1,36,47,0.006000," ","int(x^11/(b*x^4+a)^(1/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}} \left(21 b^{2} x^{8}-24 a b \,x^{4}+32 a^{2}\right)}{231 b^{3}}"," ",0,"1/231*(b*x^4+a)^(3/4)*(21*b^2*x^8-24*a*b*x^4+32*a^2)/b^3","A"
1083,1,25,30,0.007000," ","int(x^7/(b*x^4+a)^(1/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}} \left(-3 b \,x^{4}+4 a \right)}{21 b^{2}}"," ",0,"-1/21*(b*x^4+a)^(3/4)*(-3*b*x^4+4*a)/b^2","A"
1084,1,15,14,0.005000," ","int(x^3/(b*x^4+a)^(1/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}{3 b}"," ",0,"1/3*(b*x^4+a)^(3/4)/b","A"
1085,0,0,39,0.141000," ","int(1/x/(b*x^4+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{1}{4}} x}\, dx"," ",0,"int(1/x/(b*x^4+a)^(1/4),x)","F"
1086,0,0,58,0.138000," ","int(1/x^5/(b*x^4+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{5}}\, dx"," ",0,"int(1/x^5/(b*x^4+a)^(1/4),x)","F"
1087,0,0,80,0.139000," ","int(1/x^9/(b*x^4+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{9}}\, dx"," ",0,"int(1/x^9/(b*x^4+a)^(1/4),x)","F"
1088,0,0,157,0.140000," ","int(x^13/(b*x^4+a)^(1/4),x)","\int \frac{x^{13}}{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^13/(b*x^4+a)^(1/4),x)","F"
1089,0,0,137,0.139000," ","int(x^9/(b*x^4+a)^(1/4),x)","\int \frac{x^{9}}{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^9/(b*x^4+a)^(1/4),x)","F"
1090,0,0,117,0.141000," ","int(x^5/(b*x^4+a)^(1/4),x)","\int \frac{x^{5}}{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^5/(b*x^4+a)^(1/4),x)","F"
1091,0,0,95,0.142000," ","int(x/(b*x^4+a)^(1/4),x)","\int \frac{x}{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x/(b*x^4+a)^(1/4),x)","F"
1092,0,0,117,0.140000," ","int(1/x^3/(b*x^4+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^4+a)^(1/4),x)","F"
1093,0,0,137,0.160000," ","int(1/x^7/(b*x^4+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{7}}\, dx"," ",0,"int(1/x^7/(b*x^4+a)^(1/4),x)","F"
1094,0,0,157,0.144000," ","int(1/x^11/(b*x^4+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{11}}\, dx"," ",0,"int(1/x^11/(b*x^4+a)^(1/4),x)","F"
1095,0,0,80,0.140000," ","int(x^8/(b*x^4+a)^(1/4),x)","\int \frac{x^{8}}{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^8/(b*x^4+a)^(1/4),x)","F"
1096,0,0,58,0.155000," ","int(x^4/(b*x^4+a)^(1/4),x)","\int \frac{x^{4}}{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^4/(b*x^4+a)^(1/4),x)","F"
1097,0,0,41,0.150000," ","int(1/(b*x^4+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(b*x^4+a)^(1/4),x)","F"
1098,1,18,17,0.004000," ","int(1/x^4/(b*x^4+a)^(1/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}{3 a \,x^{3}}"," ",0,"-1/3*(b*x^4+a)^(3/4)/a/x^3","A"
1099,1,28,36,0.005000," ","int(1/x^8/(b*x^4+a)^(1/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}} \left(-4 b \,x^{4}+3 a \right)}{21 a^{2} x^{7}}"," ",0,"-1/21*(b*x^4+a)^(3/4)*(-4*b*x^4+3*a)/a^2/x^7","A"
1100,1,39,56,0.007000," ","int(1/x^12/(b*x^4+a)^(1/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}} \left(32 b^{2} x^{8}-24 a b \,x^{4}+21 a^{2}\right)}{231 a^{3} x^{11}}"," ",0,"-1/231*(b*x^4+a)^(3/4)*(32*b^2*x^8-24*a*b*x^4+21*a^2)/a^3/x^11","A"
1101,1,50,76,0.007000," ","int(1/x^16/(b*x^4+a)^(1/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}} \left(-128 b^{3} x^{12}+96 a \,b^{2} x^{8}-84 a^{2} b \,x^{4}+77 a^{3}\right)}{1155 a^{4} x^{15}}"," ",0,"-1/1155*(b*x^4+a)^(3/4)*(-128*b^3*x^12+96*a*b^2*x^8-84*a^2*b*x^4+77*a^3)/x^15/a^4","A"
1102,1,61,96,0.008000," ","int(1/x^20/(b*x^4+a)^(1/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{3}{4}} \left(2048 x^{16} b^{4}-1536 a \,x^{12} b^{3}+1344 a^{2} x^{8} b^{2}-1232 a^{3} x^{4} b +1155 a^{4}\right)}{21945 a^{5} x^{19}}"," ",0,"-1/21945*(b*x^4+a)^(3/4)*(2048*b^4*x^16-1536*a*b^3*x^12+1344*a^2*b^2*x^8-1232*a^3*b*x^4+1155*a^4)/x^19/a^5","A"
1103,0,0,138,0.147000," ","int(x^10/(b*x^4+a)^(1/4),x)","\int \frac{x^{10}}{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^10/(b*x^4+a)^(1/4),x)","F"
1104,0,0,118,0.145000," ","int(x^6/(b*x^4+a)^(1/4),x)","\int \frac{x^{6}}{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^6/(b*x^4+a)^(1/4),x)","F"
1105,0,0,97,0.145000," ","int(x^2/(b*x^4+a)^(1/4),x)","\int \frac{x^{2}}{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^2/(b*x^4+a)^(1/4),x)","F"
1106,0,0,96,0.145000," ","int(1/x^2/(b*x^4+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^4+a)^(1/4),x)","F"
1107,0,0,118,0.141000," ","int(1/x^6/(b*x^4+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{6}}\, dx"," ",0,"int(1/x^6/(b*x^4+a)^(1/4),x)","F"
1108,0,0,138,0.145000," ","int(1/x^10/(b*x^4+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{10}}\, dx"," ",0,"int(1/x^10/(b*x^4+a)^(1/4),x)","F"
1109,0,0,158,0.145000," ","int(1/x^14/(b*x^4+a)^(1/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{1}{4}} x^{14}}\, dx"," ",0,"int(1/x^14/(b*x^4+a)^(1/4),x)","F"
1110,1,58,80,0.008000," ","int(x^19/(b*x^4+a)^(3/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}} \left(195 x^{16} b^{4}-240 a \,x^{12} b^{3}+320 a^{2} x^{8} b^{2}-512 a^{3} x^{4} b +2048 a^{4}\right)}{3315 b^{5}}"," ",0,"1/3315*(b*x^4+a)^(1/4)*(195*b^4*x^16-240*a*b^3*x^12+320*a^2*b^2*x^8-512*a^3*b*x^4+2048*a^4)/b^5","A"
1111,1,47,64,0.007000," ","int(x^15/(b*x^4+a)^(3/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}} \left(-15 b^{3} x^{12}+20 a \,b^{2} x^{8}-32 a^{2} b \,x^{4}+128 a^{3}\right)}{195 b^{4}}"," ",0,"-1/195*(b*x^4+a)^(1/4)*(-15*b^3*x^12+20*a*b^2*x^8-32*a^2*b*x^4+128*a^3)/b^4","A"
1112,1,36,46,0.005000," ","int(x^11/(b*x^4+a)^(3/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}} \left(5 b^{2} x^{8}-8 a b \,x^{4}+32 a^{2}\right)}{45 b^{3}}"," ",0,"1/45*(b*x^4+a)^(1/4)*(5*b^2*x^8-8*a*b*x^4+32*a^2)/b^3","A"
1113,1,25,30,0.005000," ","int(x^7/(b*x^4+a)^(3/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}} \left(-b \,x^{4}+4 a \right)}{5 b^{2}}"," ",0,"-1/5*(b*x^4+a)^(1/4)*(-b*x^4+4*a)/b^2","A"
1114,1,14,13,0.004000," ","int(x^3/(b*x^4+a)^(3/4),x)","\frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}{b}"," ",0,"(b*x^4+a)^(1/4)/b","A"
1115,0,0,39,0.142000," ","int(1/x/(b*x^4+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{3}{4}} x}\, dx"," ",0,"int(1/x/(b*x^4+a)^(3/4),x)","F"
1116,0,0,58,0.165000," ","int(1/x^5/(b*x^4+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{5}}\, dx"," ",0,"int(1/x^5/(b*x^4+a)^(3/4),x)","F"
1117,0,0,80,0.158000," ","int(1/x^9/(b*x^4+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{9}}\, dx"," ",0,"int(1/x^9/(b*x^4+a)^(3/4),x)","F"
1118,0,0,137,0.143000," ","int(x^13/(b*x^4+a)^(3/4),x)","\int \frac{x^{13}}{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^13/(b*x^4+a)^(3/4),x)","F"
1119,0,0,117,0.145000," ","int(x^9/(b*x^4+a)^(3/4),x)","\int \frac{x^{9}}{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^9/(b*x^4+a)^(3/4),x)","F"
1120,0,0,99,0.146000," ","int(x^5/(b*x^4+a)^(3/4),x)","\int \frac{x^{5}}{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^5/(b*x^4+a)^(3/4),x)","F"
1121,0,0,80,0.141000," ","int(x/(b*x^4+a)^(3/4),x)","\int \frac{x}{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x/(b*x^4+a)^(3/4),x)","F"
1122,0,0,99,0.148000," ","int(1/x^3/(b*x^4+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^4+a)^(3/4),x)","F"
1123,0,0,117,0.148000," ","int(1/x^7/(b*x^4+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{7}}\, dx"," ",0,"int(1/x^7/(b*x^4+a)^(3/4),x)","F"
1124,0,0,137,0.142000," ","int(1/x^11/(b*x^4+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{11}}\, dx"," ",0,"int(1/x^11/(b*x^4+a)^(3/4),x)","F"
1125,0,0,82,0.148000," ","int(x^10/(b*x^4+a)^(3/4),x)","\int \frac{x^{10}}{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^10/(b*x^4+a)^(3/4),x)","F"
1126,0,0,60,0.159000," ","int(x^6/(b*x^4+a)^(3/4),x)","\int \frac{x^{6}}{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^6/(b*x^4+a)^(3/4),x)","F"
1127,0,0,41,0.144000," ","int(x^2/(b*x^4+a)^(3/4),x)","\int \frac{x^{2}}{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^2/(b*x^4+a)^(3/4),x)","F"
1128,1,18,17,0.005000," ","int(1/x^2/(b*x^4+a)^(3/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}}}{a x}"," ",0,"-(b*x^4+a)^(1/4)/a/x","A"
1129,1,26,36,0.006000," ","int(1/x^6/(b*x^4+a)^(3/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}} \left(-4 b \,x^{4}+a \right)}{5 a^{2} x^{5}}"," ",0,"-1/5*(b*x^4+a)^(1/4)*(-4*b*x^4+a)/a^2/x^5","A"
1130,1,39,56,0.006000," ","int(1/x^10/(b*x^4+a)^(3/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}} \left(32 b^{2} x^{8}-8 a b \,x^{4}+5 a^{2}\right)}{45 a^{3} x^{9}}"," ",0,"-1/45*(b*x^4+a)^(1/4)*(32*b^2*x^8-8*a*b*x^4+5*a^2)/a^3/x^9","A"
1131,1,50,76,0.008000," ","int(1/x^14/(b*x^4+a)^(3/4),x)","-\frac{\left(b \,x^{4}+a \right)^{\frac{1}{4}} \left(-128 b^{3} x^{12}+32 a \,b^{2} x^{8}-20 a^{2} b \,x^{4}+15 a^{3}\right)}{195 a^{4} x^{13}}"," ",0,"-1/195*(b*x^4+a)^(1/4)*(-128*b^3*x^12+32*a*b^2*x^8-20*a^2*b*x^4+15*a^3)/x^13/a^4","A"
1132,0,0,138,0.142000," ","int(x^12/(b*x^4+a)^(3/4),x)","\int \frac{x^{12}}{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^12/(b*x^4+a)^(3/4),x)","F"
1133,0,0,118,0.145000," ","int(x^8/(b*x^4+a)^(3/4),x)","\int \frac{x^{8}}{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^8/(b*x^4+a)^(3/4),x)","F"
1134,0,0,100,0.143000," ","int(x^4/(b*x^4+a)^(3/4),x)","\int \frac{x^{4}}{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^4/(b*x^4+a)^(3/4),x)","F"
1135,0,0,84,0.167000," ","int(1/(b*x^4+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(b*x^4+a)^(3/4),x)","F"
1136,0,0,102,0.148000," ","int(1/x^4/(b*x^4+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x^4+a)^(3/4),x)","F"
1137,0,0,120,0.150000," ","int(1/x^8/(b*x^4+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{8}}\, dx"," ",0,"int(1/x^8/(b*x^4+a)^(3/4),x)","F"
1138,0,0,140,0.144000," ","int(1/x^12/(b*x^4+a)^(3/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{3}{4}} x^{12}}\, dx"," ",0,"int(1/x^12/(b*x^4+a)^(3/4),x)","F"
1139,1,58,81,0.010000," ","int(x^19/(b*x^4+a)^(5/4),x)","-\frac{-77 x^{16} b^{4}+112 a \,x^{12} b^{3}-192 a^{2} x^{8} b^{2}+512 a^{3} x^{4} b +2048 a^{4}}{1155 \left(b \,x^{4}+a \right)^{\frac{1}{4}} b^{5}}"," ",0,"-1/1155*(-77*b^4*x^16+112*a*b^3*x^12-192*a^2*b^2*x^8+512*a^3*b*x^4+2048*a^4)/(b*x^4+a)^(1/4)/b^5","A"
1140,1,47,62,0.007000," ","int(x^15/(b*x^4+a)^(5/4),x)","\frac{7 b^{3} x^{12}-12 a \,b^{2} x^{8}+32 a^{2} b \,x^{4}+128 a^{3}}{77 \left(b \,x^{4}+a \right)^{\frac{1}{4}} b^{4}}"," ",0,"1/77*(7*b^3*x^12-12*a*b^2*x^8+32*a^2*b*x^4+128*a^3)/(b*x^4+a)^(1/4)/b^4","A"
1141,1,36,47,0.007000," ","int(x^11/(b*x^4+a)^(5/4),x)","-\frac{-3 b^{2} x^{8}+8 a b \,x^{4}+32 a^{2}}{21 \left(b \,x^{4}+a \right)^{\frac{1}{4}} b^{3}}"," ",0,"-1/21*(-3*b^2*x^8+8*a*b*x^4+32*a^2)/(b*x^4+a)^(1/4)/b^3","A"
1142,1,24,29,0.006000," ","int(x^7/(b*x^4+a)^(5/4),x)","\frac{b \,x^{4}+4 a}{3 \left(b \,x^{4}+a \right)^{\frac{1}{4}} b^{2}}"," ",0,"1/3*(b*x^4+4*a)/(b*x^4+a)^(1/4)/b^2","A"
1143,1,15,14,0.006000," ","int(x^3/(b*x^4+a)^(5/4),x)","-\frac{1}{\left(b \,x^{4}+a \right)^{\frac{1}{4}} b}"," ",0,"-1/b/(b*x^4+a)^(1/4)","A"
1144,0,0,52,0.150000," ","int(1/x/(b*x^4+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{5}{4}} x}\, dx"," ",0,"int(1/x/(b*x^4+a)^(5/4),x)","F"
1145,0,0,73,0.165000," ","int(1/x^5/(b*x^4+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{5}}\, dx"," ",0,"int(1/x^5/(b*x^4+a)^(5/4),x)","F"
1146,0,0,97,0.169000," ","int(1/x^9/(b*x^4+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{9}}\, dx"," ",0,"int(1/x^9/(b*x^4+a)^(5/4),x)","F"
1147,0,0,137,0.164000," ","int(x^13/(b*x^4+a)^(5/4),x)","\int \frac{x^{13}}{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^13/(b*x^4+a)^(5/4),x)","F"
1148,0,0,117,0.168000," ","int(x^9/(b*x^4+a)^(5/4),x)","\int \frac{x^{9}}{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^9/(b*x^4+a)^(5/4),x)","F"
1149,0,0,98,0.171000," ","int(x^5/(b*x^4+a)^(5/4),x)","\int \frac{x^{5}}{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^5/(b*x^4+a)^(5/4),x)","F"
1150,0,0,80,0.153000," ","int(x/(b*x^4+a)^(5/4),x)","\int \frac{x}{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x/(b*x^4+a)^(5/4),x)","F"
1151,0,0,99,0.169000," ","int(1/x^3/(b*x^4+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^4+a)^(5/4),x)","F"
1152,0,0,117,0.168000," ","int(1/x^7/(b*x^4+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{7}}\, dx"," ",0,"int(1/x^7/(b*x^4+a)^(5/4),x)","F"
1153,0,0,137,0.165000," ","int(1/x^11/(b*x^4+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{11}}\, dx"," ",0,"int(1/x^11/(b*x^4+a)^(5/4),x)","F"
1154,0,0,97,0.152000," ","int(x^12/(b*x^4+a)^(5/4),x)","\int \frac{x^{12}}{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^12/(b*x^4+a)^(5/4),x)","F"
1155,0,0,75,0.163000," ","int(x^8/(b*x^4+a)^(5/4),x)","\int \frac{x^{8}}{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^8/(b*x^4+a)^(5/4),x)","F"
1156,0,0,56,0.148000," ","int(x^4/(b*x^4+a)^(5/4),x)","\int \frac{x^{4}}{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^4/(b*x^4+a)^(5/4),x)","F"
1157,1,15,14,0.001000," ","int(1/(b*x^4+a)^(5/4),x)","\frac{x}{\left(b \,x^{4}+a \right)^{\frac{1}{4}} a}"," ",0,"x/a/(b*x^4+a)^(1/4)","A"
1158,1,26,34,0.005000," ","int(1/x^4/(b*x^4+a)^(5/4),x)","-\frac{4 b \,x^{4}+a}{3 \left(b \,x^{4}+a \right)^{\frac{1}{4}} a^{2} x^{3}}"," ",0,"-1/3*(4*b*x^4+a)/x^3/(b*x^4+a)^(1/4)/a^2","A"
1159,1,39,54,0.005000," ","int(1/x^8/(b*x^4+a)^(5/4),x)","-\frac{-32 b^{2} x^{8}-8 a b \,x^{4}+3 a^{2}}{21 \left(b \,x^{4}+a \right)^{\frac{1}{4}} a^{3} x^{7}}"," ",0,"-1/21*(-32*b^2*x^8-8*a*b*x^4+3*a^2)/x^7/(b*x^4+a)^(1/4)/a^3","A"
1160,1,50,74,0.006000," ","int(1/x^12/(b*x^4+a)^(5/4),x)","-\frac{128 b^{3} x^{12}+32 a \,b^{2} x^{8}-12 a^{2} b \,x^{4}+7 a^{3}}{77 \left(b \,x^{4}+a \right)^{\frac{1}{4}} a^{4} x^{11}}"," ",0,"-1/77*(128*b^3*x^12+32*a*b^2*x^8-12*a^2*b*x^4+7*a^3)/x^11/(b*x^4+a)^(1/4)/a^4","A"
1161,1,61,94,0.008000," ","int(1/x^16/(b*x^4+a)^(5/4),x)","-\frac{-2048 x^{16} b^{4}-512 a \,x^{12} b^{3}+192 a^{2} x^{8} b^{2}-112 a^{3} x^{4} b +77 a^{4}}{1155 \left(b \,x^{4}+a \right)^{\frac{1}{4}} a^{5} x^{15}}"," ",0,"-1/1155*(-2048*b^4*x^16-512*a*b^3*x^12+192*a^2*b^2*x^8-112*a^3*b*x^4+77*a^4)/x^15/(b*x^4+a)^(1/4)/a^5","A"
1162,0,0,138,0.170000," ","int(x^14/(b*x^4+a)^(5/4),x)","\int \frac{x^{14}}{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^14/(b*x^4+a)^(5/4),x)","F"
1163,0,0,118,0.173000," ","int(x^10/(b*x^4+a)^(5/4),x)","\int \frac{x^{10}}{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^10/(b*x^4+a)^(5/4),x)","F"
1164,0,0,100,0.156000," ","int(x^6/(b*x^4+a)^(5/4),x)","\int \frac{x^{6}}{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^6/(b*x^4+a)^(5/4),x)","F"
1165,0,0,82,0.148000," ","int(x^2/(b*x^4+a)^(5/4),x)","\int \frac{x^{2}}{\left(b \,x^{4}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^2/(b*x^4+a)^(5/4),x)","F"
1166,0,0,100,0.166000," ","int(1/x^2/(b*x^4+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^4+a)^(5/4),x)","F"
1167,0,0,118,0.171000," ","int(1/x^6/(b*x^4+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{6}}\, dx"," ",0,"int(1/x^6/(b*x^4+a)^(5/4),x)","F"
1168,0,0,138,0.165000," ","int(1/x^10/(b*x^4+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{10}}\, dx"," ",0,"int(1/x^10/(b*x^4+a)^(5/4),x)","F"
1169,0,0,158,0.168000," ","int(1/x^14/(b*x^4+a)^(5/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{5}{4}} x^{14}}\, dx"," ",0,"int(1/x^14/(b*x^4+a)^(5/4),x)","F"
1170,0,0,100,0.168000," ","int(1/(b*x^4+a)^(7/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{7}{4}}}\, dx"," ",0,"int(1/(b*x^4+a)^(7/4),x)","F"
1171,1,26,31,0.003000," ","int(1/(b*x^4+a)^(9/4),x)","\frac{\left(4 b \,x^{4}+5 a \right) x}{5 \left(b \,x^{4}+a \right)^{\frac{5}{4}} a^{2}}"," ",0,"1/5*x*(4*b*x^4+5*a)/(b*x^4+a)^(5/4)/a^2","A"
1172,0,0,115,0.177000," ","int(1/(b*x^4+a)^(11/4),x)","\int \frac{1}{\left(b \,x^{4}+a \right)^{\frac{11}{4}}}\, dx"," ",0,"int(1/(b*x^4+a)^(11/4),x)","F"
1173,1,37,46,0.005000," ","int(1/(b*x^4+a)^(13/4),x)","\frac{\left(32 b^{2} x^{8}+72 a b \,x^{4}+45 a^{2}\right) x}{45 \left(b \,x^{4}+a \right)^{\frac{9}{4}} a^{3}}"," ",0,"1/45*x*(32*b^2*x^8+72*a*b*x^4+45*a^2)/(b*x^4+a)^(9/4)/a^3","A"
1174,1,48,61,0.006000," ","int(1/(b*x^4+a)^(17/4),x)","\frac{\left(128 b^{3} x^{12}+416 a \,b^{2} x^{8}+468 a^{2} b \,x^{4}+195 a^{3}\right) x}{195 \left(b \,x^{4}+a \right)^{\frac{13}{4}} a^{4}}"," ",0,"1/195*x*(128*b^3*x^12+416*a*b^2*x^8+468*a^2*b*x^4+195*a^3)/(b*x^4+a)^(13/4)/a^4","A"
1175,1,59,86,0.009000," ","int(x^19*(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{5}{4}} \left(3315 x^{16} b^{4}+3120 a \,x^{12} b^{3}+2880 a^{2} x^{8} b^{2}+2560 a^{3} x^{4} b +2048 a^{4}\right)}{69615 b^{5}}"," ",0,"-1/69615*(-b*x^4+a)^(5/4)*(3315*b^4*x^16+3120*a*b^3*x^12+2880*a^2*b^2*x^8+2560*a^3*b*x^4+2048*a^4)/b^5","A"
1176,1,48,68,0.007000," ","int(x^15*(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{5}{4}} \left(195 b^{3} x^{12}+180 a \,b^{2} x^{8}+160 a^{2} b \,x^{4}+128 a^{3}\right)}{3315 b^{4}}"," ",0,"-1/3315*(-b*x^4+a)^(5/4)*(195*b^3*x^12+180*a*b^2*x^8+160*a^2*b*x^4+128*a^3)/b^4","A"
1177,1,37,50,0.006000," ","int(x^11*(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{5}{4}} \left(45 b^{2} x^{8}+40 a b \,x^{4}+32 a^{2}\right)}{585 b^{3}}"," ",0,"-1/585*(-b*x^4+a)^(5/4)*(45*b^2*x^8+40*a*b*x^4+32*a^2)/b^3","A"
1178,1,26,32,0.006000," ","int(x^7*(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{5}{4}} \left(5 b \,x^{4}+4 a \right)}{45 b^{2}}"," ",0,"-1/45*(-b*x^4+a)^(5/4)*(5*b*x^4+4*a)/b^2","A"
1179,1,16,15,0.005000," ","int(x^3*(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{5}{4}}}{5 b}"," ",0,"-1/5*(-b*x^4+a)^(5/4)/b","A"
1180,0,0,51,0.161000," ","int((-b*x^4+a)^(1/4)/x,x)","\int \frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}{x}\, dx"," ",0,"int((-b*x^4+a)^(1/4)/x,x)","F"
1181,0,0,58,0.089000," ","int((-b*x^4+a)^(1/4)/x^5,x)","\int \frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{5}}\, dx"," ",0,"int((-b*x^4+a)^(1/4)/x^5,x)","F"
1182,0,0,81,0.058000," ","int((-b*x^4+a)^(1/4)/x^9,x)","\int \frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{9}}\, dx"," ",0,"int((-b*x^4+a)^(1/4)/x^9,x)","F"
1183,0,0,139,0.053000," ","int(x^9*(-b*x^4+a)^(1/4),x)","\int \left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{9}\, dx"," ",0,"int(x^9*(-b*x^4+a)^(1/4),x)","F"
1184,0,0,118,0.034000," ","int(x^5*(-b*x^4+a)^(1/4),x)","\int \left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{5}\, dx"," ",0,"int(x^5*(-b*x^4+a)^(1/4),x)","F"
1185,0,0,99,0.033000," ","int(x*(-b*x^4+a)^(1/4),x)","\int \left(-b \,x^{4}+a \right)^{\frac{1}{4}} x\, dx"," ",0,"int(x*(-b*x^4+a)^(1/4),x)","F"
1186,0,0,99,0.036000," ","int((-b*x^4+a)^(1/4)/x^3,x)","\int \frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{3}}\, dx"," ",0,"int((-b*x^4+a)^(1/4)/x^3,x)","F"
1187,0,0,118,0.041000," ","int((-b*x^4+a)^(1/4)/x^7,x)","\int \frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{7}}\, dx"," ",0,"int((-b*x^4+a)^(1/4)/x^7,x)","F"
1188,0,0,139,0.048000," ","int((-b*x^4+a)^(1/4)/x^11,x)","\int \frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{11}}\, dx"," ",0,"int((-b*x^4+a)^(1/4)/x^11,x)","F"
1189,0,0,198,0.043000," ","int(x^6*(-b*x^4+a)^(1/4),x)","\int \left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{6}\, dx"," ",0,"int(x^6*(-b*x^4+a)^(1/4),x)","F"
1190,0,0,171,0.039000," ","int(x^2*(-b*x^4+a)^(1/4),x)","\int \left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{2}\, dx"," ",0,"int(x^2*(-b*x^4+a)^(1/4),x)","F"
1191,0,0,167,0.042000," ","int((-b*x^4+a)^(1/4)/x^2,x)","\int \frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{2}}\, dx"," ",0,"int((-b*x^4+a)^(1/4)/x^2,x)","F"
1192,1,19,18,0.004000," ","int((-b*x^4+a)^(1/4)/x^6,x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{5}{4}}}{5 a \,x^{5}}"," ",0,"-1/5*(-b*x^4+a)^(5/4)/a/x^5","A"
1193,1,29,38,0.006000," ","int((-b*x^4+a)^(1/4)/x^10,x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{5}{4}} \left(4 b \,x^{4}+5 a \right)}{45 a^{2} x^{9}}"," ",0,"-1/45*(-b*x^4+a)^(5/4)*(4*b*x^4+5*a)/a^2/x^9","A"
1194,1,40,59,0.006000," ","int((-b*x^4+a)^(1/4)/x^14,x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{5}{4}} \left(32 b^{2} x^{8}+40 a b \,x^{4}+45 a^{2}\right)}{585 a^{3} x^{13}}"," ",0,"-1/585*(-b*x^4+a)^(5/4)*(32*b^2*x^8+40*a*b*x^4+45*a^2)/x^13/a^3","A"
1195,1,51,80,0.008000," ","int((-b*x^4+a)^(1/4)/x^18,x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{5}{4}} \left(128 b^{3} x^{12}+160 a \,b^{2} x^{8}+180 a^{2} b \,x^{4}+195 a^{3}\right)}{3315 a^{4} x^{17}}"," ",0,"-1/3315*(-b*x^4+a)^(5/4)*(128*b^3*x^12+160*a*b^2*x^8+180*a^2*b*x^4+195*a^3)/x^17/a^4","A"
1196,0,0,161,0.040000," ","int(x^12*(-b*x^4+a)^(1/4),x)","\int \left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{12}\, dx"," ",0,"int(x^12*(-b*x^4+a)^(1/4),x)","F"
1197,0,0,140,0.036000," ","int(x^8*(-b*x^4+a)^(1/4),x)","\int \left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{8}\, dx"," ",0,"int(x^8*(-b*x^4+a)^(1/4),x)","F"
1198,0,0,119,0.036000," ","int(x^4*(-b*x^4+a)^(1/4),x)","\int \left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{4}\, dx"," ",0,"int(x^4*(-b*x^4+a)^(1/4),x)","F"
1199,0,0,100,0.163000," ","int((-b*x^4+a)^(1/4),x)","\int \left(-b \,x^{4}+a \right)^{\frac{1}{4}}\, dx"," ",0,"int((-b*x^4+a)^(1/4),x)","F"
1200,0,0,102,0.038000," ","int((-b*x^4+a)^(1/4)/x^4,x)","\int \frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{4}}\, dx"," ",0,"int((-b*x^4+a)^(1/4)/x^4,x)","F"
1201,0,0,121,0.047000," ","int((-b*x^4+a)^(1/4)/x^8,x)","\int \frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{8}}\, dx"," ",0,"int((-b*x^4+a)^(1/4)/x^8,x)","F"
1202,0,0,142,0.047000," ","int((-b*x^4+a)^(1/4)/x^12,x)","\int \frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{12}}\, dx"," ",0,"int((-b*x^4+a)^(1/4)/x^12,x)","F"
1203,0,0,163,0.052000," ","int((-b*x^4+a)^(1/4)/x^16,x)","\int \frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}{x^{16}}\, dx"," ",0,"int((-b*x^4+a)^(1/4)/x^16,x)","F"
1204,1,59,86,0.009000," ","int(x^19/(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} \left(1155 x^{16} b^{4}+1232 a \,x^{12} b^{3}+1344 a^{2} x^{8} b^{2}+1536 a^{3} x^{4} b +2048 a^{4}\right)}{21945 b^{5}}"," ",0,"-1/21945*(-b*x^4+a)^(3/4)*(1155*b^4*x^16+1232*a*b^3*x^12+1344*a^2*b^2*x^8+1536*a^3*b*x^4+2048*a^4)/b^5","A"
1205,1,48,68,0.008000," ","int(x^15/(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} \left(77 b^{3} x^{12}+84 a \,b^{2} x^{8}+96 a^{2} b \,x^{4}+128 a^{3}\right)}{1155 b^{4}}"," ",0,"-1/1155*(-b*x^4+a)^(3/4)*(77*b^3*x^12+84*a*b^2*x^8+96*a^2*b*x^4+128*a^3)/b^4","A"
1206,1,37,50,0.004000," ","int(x^11/(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} \left(21 b^{2} x^{8}+24 a b \,x^{4}+32 a^{2}\right)}{231 b^{3}}"," ",0,"-1/231*(-b*x^4+a)^(3/4)*(21*b^2*x^8+24*a*b*x^4+32*a^2)/b^3","A"
1207,1,26,32,0.006000," ","int(x^7/(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} \left(3 b \,x^{4}+4 a \right)}{21 b^{2}}"," ",0,"-1/21*(-b*x^4+a)^(3/4)*(3*b*x^4+4*a)/b^2","A"
1208,1,16,15,0.003000," ","int(x^3/(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{3}{4}}}{3 b}"," ",0,"-1/3*(-b*x^4+a)^(3/4)/b","A"
1209,0,0,41,0.151000," ","int(1/x/(-b*x^4+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} x}\, dx"," ",0,"int(1/x/(-b*x^4+a)^(1/4),x)","F"
1210,0,0,61,0.146000," ","int(1/x^5/(-b*x^4+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{5}}\, dx"," ",0,"int(1/x^5/(-b*x^4+a)^(1/4),x)","F"
1211,0,0,84,0.145000," ","int(1/x^9/(-b*x^4+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{9}}\, dx"," ",0,"int(1/x^9/(-b*x^4+a)^(1/4),x)","F"
1212,0,0,142,0.154000," ","int(x^13/(-b*x^4+a)^(1/4),x)","\int \frac{x^{13}}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^13/(-b*x^4+a)^(1/4),x)","F"
1213,0,0,121,0.149000," ","int(x^9/(-b*x^4+a)^(1/4),x)","\int \frac{x^{9}}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^9/(-b*x^4+a)^(1/4),x)","F"
1214,0,0,102,0.149000," ","int(x^5/(-b*x^4+a)^(1/4),x)","\int \frac{x^{5}}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^5/(-b*x^4+a)^(1/4),x)","F"
1215,0,0,82,0.146000," ","int(x/(-b*x^4+a)^(1/4),x)","\int \frac{x}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x/(-b*x^4+a)^(1/4),x)","F"
1216,0,0,102,0.151000," ","int(1/x^3/(-b*x^4+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{3}}\, dx"," ",0,"int(1/x^3/(-b*x^4+a)^(1/4),x)","F"
1217,0,0,121,0.146000," ","int(1/x^7/(-b*x^4+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{7}}\, dx"," ",0,"int(1/x^7/(-b*x^4+a)^(1/4),x)","F"
1218,0,0,142,0.150000," ","int(1/x^11/(-b*x^4+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{11}}\, dx"," ",0,"int(1/x^11/(-b*x^4+a)^(1/4),x)","F"
1219,0,0,199,0.145000," ","int(x^8/(-b*x^4+a)^(1/4),x)","\int \frac{x^{8}}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^8/(-b*x^4+a)^(1/4),x)","F"
1220,0,0,172,0.145000," ","int(x^4/(-b*x^4+a)^(1/4),x)","\int \frac{x^{4}}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^4/(-b*x^4+a)^(1/4),x)","F"
1221,0,0,152,0.170000," ","int(1/(-b*x^4+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(-b*x^4+a)^(1/4),x)","F"
1222,1,19,18,0.006000," ","int(1/x^4/(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{3}{4}}}{3 a \,x^{3}}"," ",0,"-1/3*(-b*x^4+a)^(3/4)/a/x^3","A"
1223,1,29,38,0.005000," ","int(1/x^8/(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} \left(4 b \,x^{4}+3 a \right)}{21 a^{2} x^{7}}"," ",0,"-1/21*(-b*x^4+a)^(3/4)*(4*b*x^4+3*a)/a^2/x^7","A"
1224,1,40,59,0.004000," ","int(1/x^12/(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} \left(32 b^{2} x^{8}+24 a b \,x^{4}+21 a^{2}\right)}{231 a^{3} x^{11}}"," ",0,"-1/231*(-b*x^4+a)^(3/4)*(32*b^2*x^8+24*a*b*x^4+21*a^2)/a^3/x^11","A"
1225,1,51,80,0.008000," ","int(1/x^16/(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} \left(128 b^{3} x^{12}+96 a \,b^{2} x^{8}+84 a^{2} b \,x^{4}+77 a^{3}\right)}{1155 a^{4} x^{15}}"," ",0,"-1/1155*(-b*x^4+a)^(3/4)*(128*b^3*x^12+96*a*b^2*x^8+84*a^2*b*x^4+77*a^3)/x^15/a^4","A"
1226,1,62,101,0.008000," ","int(1/x^20/(-b*x^4+a)^(1/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} \left(2048 x^{16} b^{4}+1536 a \,x^{12} b^{3}+1344 a^{2} x^{8} b^{2}+1232 a^{3} x^{4} b +1155 a^{4}\right)}{21945 a^{5} x^{19}}"," ",0,"-1/21945*(-b*x^4+a)^(3/4)*(2048*b^4*x^16+1536*a*b^3*x^12+1344*a^2*b^2*x^8+1232*a^3*b*x^4+1155*a^4)/x^19/a^5","A"
1227,0,0,143,0.155000," ","int(x^10/(-b*x^4+a)^(1/4),x)","\int \frac{x^{10}}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^10/(-b*x^4+a)^(1/4),x)","F"
1228,0,0,122,0.155000," ","int(x^6/(-b*x^4+a)^(1/4),x)","\int \frac{x^{6}}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^6/(-b*x^4+a)^(1/4),x)","F"
1229,0,0,103,0.171000," ","int(x^2/(-b*x^4+a)^(1/4),x)","\int \frac{x^{2}}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}\, dx"," ",0,"int(x^2/(-b*x^4+a)^(1/4),x)","F"
1230,0,0,84,0.156000," ","int(1/x^2/(-b*x^4+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{2}}\, dx"," ",0,"int(1/x^2/(-b*x^4+a)^(1/4),x)","F"
1231,0,0,103,0.157000," ","int(1/x^6/(-b*x^4+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{6}}\, dx"," ",0,"int(1/x^6/(-b*x^4+a)^(1/4),x)","F"
1232,0,0,122,0.163000," ","int(1/x^10/(-b*x^4+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{10}}\, dx"," ",0,"int(1/x^10/(-b*x^4+a)^(1/4),x)","F"
1233,0,0,143,0.150000," ","int(1/x^14/(-b*x^4+a)^(1/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} x^{14}}\, dx"," ",0,"int(1/x^14/(-b*x^4+a)^(1/4),x)","F"
1234,1,59,86,0.009000," ","int(x^19/(-b*x^4+a)^(3/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} \left(195 x^{16} b^{4}+240 a \,x^{12} b^{3}+320 a^{2} x^{8} b^{2}+512 a^{3} x^{4} b +2048 a^{4}\right)}{3315 b^{5}}"," ",0,"-1/3315*(-b*x^4+a)^(1/4)*(195*b^4*x^16+240*a*b^3*x^12+320*a^2*b^2*x^8+512*a^3*b*x^4+2048*a^4)/b^5","A"
1235,1,48,68,0.007000," ","int(x^15/(-b*x^4+a)^(3/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} \left(15 b^{3} x^{12}+20 a \,b^{2} x^{8}+32 a^{2} b \,x^{4}+128 a^{3}\right)}{195 b^{4}}"," ",0,"-1/195*(-b*x^4+a)^(1/4)*(15*b^3*x^12+20*a*b^2*x^8+32*a^2*b*x^4+128*a^3)/b^4","A"
1236,1,37,50,0.007000," ","int(x^11/(-b*x^4+a)^(3/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} \left(5 b^{2} x^{8}+8 a b \,x^{4}+32 a^{2}\right)}{45 b^{3}}"," ",0,"-1/45*(-b*x^4+a)^(1/4)*(5*b^2*x^8+8*a*b*x^4+32*a^2)/b^3","A"
1237,1,25,32,0.005000," ","int(x^7/(-b*x^4+a)^(3/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} \left(b \,x^{4}+4 a \right)}{5 b^{2}}"," ",0,"-1/5*(-b*x^4+a)^(1/4)*(b*x^4+4*a)/b^2","A"
1238,1,16,15,0.005000," ","int(x^3/(-b*x^4+a)^(3/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}{b}"," ",0,"-(-b*x^4+a)^(1/4)/b","A"
1239,0,0,41,0.154000," ","int(1/x/(-b*x^4+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} x}\, dx"," ",0,"int(1/x/(-b*x^4+a)^(3/4),x)","F"
1240,0,0,61,0.060000," ","int(1/x^5/(-b*x^4+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} x^{5}}\, dx"," ",0,"int(1/x^5/(-b*x^4+a)^(3/4),x)","F"
1241,0,0,84,0.058000," ","int(1/x^9/(-b*x^4+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} x^{9}}\, dx"," ",0,"int(1/x^9/(-b*x^4+a)^(3/4),x)","F"
1242,0,0,142,0.037000," ","int(x^13/(-b*x^4+a)^(3/4),x)","\int \frac{x^{13}}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^13/(-b*x^4+a)^(3/4),x)","F"
1243,0,0,121,0.036000," ","int(x^9/(-b*x^4+a)^(3/4),x)","\int \frac{x^{9}}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^9/(-b*x^4+a)^(3/4),x)","F"
1244,0,0,102,0.036000," ","int(x^5/(-b*x^4+a)^(3/4),x)","\int \frac{x^{5}}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^5/(-b*x^4+a)^(3/4),x)","F"
1245,0,0,82,0.152000," ","int(x/(-b*x^4+a)^(3/4),x)","\int \frac{x}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x/(-b*x^4+a)^(3/4),x)","F"
1246,0,0,102,0.040000," ","int(1/x^3/(-b*x^4+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} x^{3}}\, dx"," ",0,"int(1/x^3/(-b*x^4+a)^(3/4),x)","F"
1247,0,0,121,0.043000," ","int(1/x^7/(-b*x^4+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} x^{7}}\, dx"," ",0,"int(1/x^7/(-b*x^4+a)^(3/4),x)","F"
1248,0,0,142,0.046000," ","int(1/x^11/(-b*x^4+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} x^{11}}\, dx"," ",0,"int(1/x^11/(-b*x^4+a)^(3/4),x)","F"
1249,0,0,201,0.042000," ","int(x^10/(-b*x^4+a)^(3/4),x)","\int \frac{x^{10}}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^10/(-b*x^4+a)^(3/4),x)","F"
1250,0,0,174,0.037000," ","int(x^6/(-b*x^4+a)^(3/4),x)","\int \frac{x^{6}}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^6/(-b*x^4+a)^(3/4),x)","F"
1251,0,0,152,0.149000," ","int(x^2/(-b*x^4+a)^(3/4),x)","\int \frac{x^{2}}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^2/(-b*x^4+a)^(3/4),x)","F"
1252,1,19,18,0.005000," ","int(1/x^2/(-b*x^4+a)^(3/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}}}{a x}"," ",0,"-(-b*x^4+a)^(1/4)/a/x","A"
1253,1,27,38,0.005000," ","int(1/x^6/(-b*x^4+a)^(3/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} \left(4 b \,x^{4}+a \right)}{5 a^{2} x^{5}}"," ",0,"-1/5*(-b*x^4+a)^(1/4)*(4*b*x^4+a)/a^2/x^5","A"
1254,1,40,59,0.005000," ","int(1/x^10/(-b*x^4+a)^(3/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} \left(32 b^{2} x^{8}+8 a b \,x^{4}+5 a^{2}\right)}{45 a^{3} x^{9}}"," ",0,"-1/45*(-b*x^4+a)^(1/4)*(32*b^2*x^8+8*a*b*x^4+5*a^2)/a^3/x^9","A"
1255,1,51,80,0.006000," ","int(1/x^14/(-b*x^4+a)^(3/4),x)","-\frac{\left(-b \,x^{4}+a \right)^{\frac{1}{4}} \left(128 b^{3} x^{12}+32 a \,b^{2} x^{8}+20 a^{2} b \,x^{4}+15 a^{3}\right)}{195 a^{4} x^{13}}"," ",0,"-1/195*(-b*x^4+a)^(1/4)*(128*b^3*x^12+32*a*b^2*x^8+20*a^2*b*x^4+15*a^3)/x^13/a^4","A"
1256,0,0,143,0.039000," ","int(x^12/(-b*x^4+a)^(3/4),x)","\int \frac{x^{12}}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^12/(-b*x^4+a)^(3/4),x)","F"
1257,0,0,122,0.039000," ","int(x^8/(-b*x^4+a)^(3/4),x)","\int \frac{x^{8}}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^8/(-b*x^4+a)^(3/4),x)","F"
1258,0,0,103,0.034000," ","int(x^4/(-b*x^4+a)^(3/4),x)","\int \frac{x^{4}}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(x^4/(-b*x^4+a)^(3/4),x)","F"
1259,0,0,86,0.161000," ","int(1/(-b*x^4+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(-b*x^4+a)^(3/4),x)","F"
1260,0,0,105,0.039000," ","int(1/x^4/(-b*x^4+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} x^{4}}\, dx"," ",0,"int(1/x^4/(-b*x^4+a)^(3/4),x)","F"
1261,0,0,124,0.042000," ","int(1/x^8/(-b*x^4+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} x^{8}}\, dx"," ",0,"int(1/x^8/(-b*x^4+a)^(3/4),x)","F"
1262,0,0,145,0.046000," ","int(1/x^12/(-b*x^4+a)^(3/4),x)","\int \frac{1}{\left(-b \,x^{4}+a \right)^{\frac{3}{4}} x^{12}}\, dx"," ",0,"int(1/x^12/(-b*x^4+a)^(3/4),x)","F"
1263,0,0,102,0.162000," ","int(x^2/(-b*x^4+a)^(5/4),x)","\int \frac{x^{2}}{\left(-b \,x^{4}+a \right)^{\frac{5}{4}}}\, dx"," ",0,"int(x^2/(-b*x^4+a)^(5/4),x)","F"
1264,1,42,44,0.006000," ","int(x^7*(b*x^4+a)^p,x)","-\frac{\left(-x^{4} p b -b \,x^{4}+a \right) \left(b \,x^{4}+a \right)^{p +1}}{4 \left(p^{2}+3 p +2\right) b^{2}}"," ",0,"-1/4*(b*x^4+a)^(p+1)*(-b*p*x^4-b*x^4+a)/b^2/(p^2+3*p+2)","A"
1265,1,22,21,0.002000," ","int(x^3*(b*x^4+a)^p,x)","\frac{\left(b \,x^{4}+a \right)^{p +1}}{4 \left(p +1\right) b}"," ",0,"1/4*(b*x^4+a)^(p+1)/b/(p+1)","A"
1266,0,0,41,0.137000," ","int((b*x^4+a)^p/x,x)","\int \frac{\left(b \,x^{4}+a \right)^{p}}{x}\, dx"," ",0,"int((b*x^4+a)^p/x,x)","F"
1267,1,57,56,0.002000," ","int(x^24/(b*x^5+a),x)","\frac{x^{20}}{20 b}-\frac{a \,x^{15}}{15 b^{2}}+\frac{a^{2} x^{10}}{10 b^{3}}-\frac{a^{3} x^{5}}{5 b^{4}}+\frac{a^{4} \ln \left(b \,x^{5}+a \right)}{5 b^{5}}"," ",0,"-1/5*a^3*x^5/b^4+1/10*a^2*x^10/b^3-1/15*a*x^15/b^2+1/20*x^20/b+1/5*a^4*ln(b*x^5+a)/b^5","A"
1268,1,46,45,0.004000," ","int(x^19/(b*x^5+a),x)","\frac{x^{15}}{15 b}-\frac{a \,x^{10}}{10 b^{2}}+\frac{a^{2} x^{5}}{5 b^{3}}-\frac{a^{3} \ln \left(b \,x^{5}+a \right)}{5 b^{4}}"," ",0,"1/5*a^2*x^5/b^3-1/10*a*x^10/b^2+1/15*x^15/b-1/5*a^3*ln(b*x^5+a)/b^4","A"
1269,1,35,34,0.003000," ","int(x^14/(b*x^5+a),x)","\frac{x^{10}}{10 b}-\frac{a \,x^{5}}{5 b^{2}}+\frac{a^{2} \ln \left(b \,x^{5}+a \right)}{5 b^{3}}"," ",0,"-1/5*a*x^5/b^2+1/10*x^10/b+1/5*a^2*ln(b*x^5+a)/b^3","A"
1270,1,24,23,0.002000," ","int(x^9/(b*x^5+a),x)","\frac{x^{5}}{5 b}-\frac{a \ln \left(b \,x^{5}+a \right)}{5 b^{2}}"," ",0,"1/5/b*x^5-1/5*a*ln(b*x^5+a)/b^2","A"
1271,1,14,13,0.000000," ","int(x^4/(b*x^5+a),x)","\frac{\ln \left(b \,x^{5}+a \right)}{5 b}"," ",0,"1/5*ln(b*x^5+a)/b","A"
1272,1,21,20,0.005000," ","int(1/x/(b*x^5+a),x)","\frac{\ln \left(x \right)}{a}-\frac{\ln \left(b \,x^{5}+a \right)}{5 a}"," ",0,"1/a*ln(x)-1/5*ln(b*x^5+a)/a","A"
1273,1,32,31,0.007000," ","int(1/x^6/(b*x^5+a),x)","-\frac{b \ln \left(x \right)}{a^{2}}+\frac{b \ln \left(b \,x^{5}+a \right)}{5 a^{2}}-\frac{1}{5 a \,x^{5}}"," ",0,"-1/5/a/x^5-1/a^2*b*ln(x)+1/5*b*ln(b*x^5+a)/a^2","A"
1274,1,44,43,0.007000," ","int(1/x^11/(b*x^5+a),x)","\frac{b^{2} \ln \left(x \right)}{a^{3}}-\frac{b^{2} \ln \left(b \,x^{5}+a \right)}{5 a^{3}}+\frac{b}{5 a^{2} x^{5}}-\frac{1}{10 a \,x^{10}}"," ",0,"-1/10/a/x^10+1/5*b/a^2/x^5+b^2*ln(x)/a^3-1/5*b^2*ln(b*x^5+a)/a^3","A"
1275,1,56,55,0.009000," ","int(1/x^16/(b*x^5+a),x)","-\frac{b^{3} \ln \left(x \right)}{a^{4}}+\frac{b^{3} \ln \left(b \,x^{5}+a \right)}{5 a^{4}}-\frac{b^{2}}{5 a^{3} x^{5}}+\frac{b}{10 a^{2} x^{10}}-\frac{1}{15 a \,x^{15}}"," ",0,"-1/15/a/x^15+1/10*b/a^2/x^10-1/5*b^2/a^3/x^5-b^3*ln(x)/a^4+1/5*b^3*ln(b*x^5+a)/a^4","A"
1276,1,895,203,0.148000," ","int(1/(b*x^5+a),x)","-\frac{20 \arctan \left(\frac{4 x}{\sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}-2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{5}} \sqrt{5}}{\sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}-2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{5}}}{\sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}-2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}}\right)}{\left(\frac{a}{b}\right)^{\frac{3}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) \sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}-2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}\, b}+\frac{4 \sqrt{5}\, \arctan \left(\frac{4 x}{\sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}-2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{5}} \sqrt{5}}{\sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}-2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{5}}}{\sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}-2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}}\right)}{\left(\frac{a}{b}\right)^{\frac{3}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) \sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}-2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}\, b}-\frac{20 \arctan \left(\frac{4 x}{\sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}+2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{5}} \sqrt{5}}{\sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}+2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{5}}}{\sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}+2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}}\right)}{\left(\frac{a}{b}\right)^{\frac{3}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) \sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}+2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}\, b}-\frac{4 \sqrt{5}\, \arctan \left(\frac{4 x}{\sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}+2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{5}} \sqrt{5}}{\sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}+2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{5}}}{\sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}+2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}}\right)}{\left(\frac{a}{b}\right)^{\frac{3}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) \sqrt{10 \left(\frac{a}{b}\right)^{\frac{2}{5}}+2 \left(\frac{a}{b}\right)^{\frac{2}{5}} \sqrt{5}}\, b}-\frac{4 \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{5}}\right)}{\left(\frac{a}{b}\right)^{\frac{4}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) b}+\frac{\sqrt{5}\, \ln \left(2 x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{5}} \sqrt{5}\, x -\left(\frac{a}{b}\right)^{\frac{1}{5}} x +2 \left(\frac{a}{b}\right)^{\frac{2}{5}}\right)}{\left(\frac{a}{b}\right)^{\frac{4}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) b}+\frac{\ln \left(2 x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{5}} \sqrt{5}\, x -\left(\frac{a}{b}\right)^{\frac{1}{5}} x +2 \left(\frac{a}{b}\right)^{\frac{2}{5}}\right)}{\left(\frac{a}{b}\right)^{\frac{4}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) b}-\frac{\sqrt{5}\, \ln \left(2 x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{5}} \sqrt{5}\, x -\left(\frac{a}{b}\right)^{\frac{1}{5}} x +2 \left(\frac{a}{b}\right)^{\frac{2}{5}}\right)}{\left(\frac{a}{b}\right)^{\frac{4}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) b}+\frac{\ln \left(2 x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{5}} \sqrt{5}\, x -\left(\frac{a}{b}\right)^{\frac{1}{5}} x +2 \left(\frac{a}{b}\right)^{\frac{2}{5}}\right)}{\left(\frac{a}{b}\right)^{\frac{4}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) b}"," ",0,"-1/b/(a/b)^(4/5)/(5^(1/2)-5)/(5+5^(1/2))*ln((a/b)^(1/5)*x*5^(1/2)+2*(a/b)^(2/5)-(a/b)^(1/5)*x+2*x^2)*5^(1/2)+1/b/(a/b)^(4/5)/(5^(1/2)-5)/(5+5^(1/2))*ln((a/b)^(1/5)*x*5^(1/2)+2*(a/b)^(2/5)-(a/b)^(1/5)*x+2*x^2)-20/b/(a/b)^(3/5)/(5^(1/2)-5)/(5+5^(1/2))/(10*(a/b)^(2/5)+2*(a/b)^(2/5)*5^(1/2))^(1/2)*arctan(1/(10*(a/b)^(2/5)+2*(a/b)^(2/5)*5^(1/2))^(1/2)*(a/b)^(1/5)*5^(1/2)-1/(10*(a/b)^(2/5)+2*(a/b)^(2/5)*5^(1/2))^(1/2)*(a/b)^(1/5)+4*x/(10*(a/b)^(2/5)+2*(a/b)^(2/5)*5^(1/2))^(1/2))-4/b/(a/b)^(3/5)/(5^(1/2)-5)/(5+5^(1/2))/(10*(a/b)^(2/5)+2*(a/b)^(2/5)*5^(1/2))^(1/2)*arctan(1/(10*(a/b)^(2/5)+2*(a/b)^(2/5)*5^(1/2))^(1/2)*(a/b)^(1/5)*5^(1/2)-1/(10*(a/b)^(2/5)+2*(a/b)^(2/5)*5^(1/2))^(1/2)*(a/b)^(1/5)+4*x/(10*(a/b)^(2/5)+2*(a/b)^(2/5)*5^(1/2))^(1/2))*5^(1/2)-4/b/(a/b)^(4/5)/(5^(1/2)-5)/(5+5^(1/2))*ln(x+(a/b)^(1/5))+1/b/(a/b)^(4/5)/(5^(1/2)-5)/(5+5^(1/2))*ln(-(a/b)^(1/5)*x*5^(1/2)+2*(a/b)^(2/5)-(a/b)^(1/5)*x+2*x^2)*5^(1/2)+1/b/(a/b)^(4/5)/(5^(1/2)-5)/(5+5^(1/2))*ln(-(a/b)^(1/5)*x*5^(1/2)+2*(a/b)^(2/5)-(a/b)^(1/5)*x+2*x^2)-20/b/(a/b)^(3/5)/(5^(1/2)-5)/(5+5^(1/2))/(10*(a/b)^(2/5)-2*(a/b)^(2/5)*5^(1/2))^(1/2)*arctan(-1/(10*(a/b)^(2/5)-2*(a/b)^(2/5)*5^(1/2))^(1/2)*(a/b)^(1/5)*5^(1/2)-1/(10*(a/b)^(2/5)-2*(a/b)^(2/5)*5^(1/2))^(1/2)*(a/b)^(1/5)+4*x/(10*(a/b)^(2/5)-2*(a/b)^(2/5)*5^(1/2))^(1/2))+4/b/(a/b)^(3/5)/(5^(1/2)-5)/(5+5^(1/2))/(10*(a/b)^(2/5)-2*(a/b)^(2/5)*5^(1/2))^(1/2)*arctan(-1/(10*(a/b)^(2/5)-2*(a/b)^(2/5)*5^(1/2))^(1/2)*(a/b)^(1/5)*5^(1/2)-1/(10*(a/b)^(2/5)-2*(a/b)^(2/5)*5^(1/2))^(1/2)*(a/b)^(1/5)+4*x/(10*(a/b)^(2/5)-2*(a/b)^(2/5)*5^(1/2))^(1/2))*5^(1/2)","B"
1277,1,63,62,0.011000," ","int(x^24/(b*x^5+a)^2,x)","\frac{x^{15}}{15 b^{2}}-\frac{a \,x^{10}}{5 b^{3}}+\frac{3 a^{2} x^{5}}{5 b^{4}}-\frac{a^{4}}{5 \left(b \,x^{5}+a \right) b^{5}}-\frac{4 a^{3} \ln \left(b \,x^{5}+a \right)}{5 b^{5}}"," ",0,"3/5*a^2*x^5/b^4-1/5*a*x^10/b^3+1/15*x^15/b^2-1/5*a^4/b^5/(b*x^5+a)-4/5*a^3*ln(b*x^5+a)/b^5","A"
1278,1,52,51,0.011000," ","int(x^19/(b*x^5+a)^2,x)","\frac{x^{10}}{10 b^{2}}-\frac{2 a \,x^{5}}{5 b^{3}}+\frac{a^{3}}{5 \left(b \,x^{5}+a \right) b^{4}}+\frac{3 a^{2} \ln \left(b \,x^{5}+a \right)}{5 b^{4}}"," ",0,"-2/5*a*x^5/b^3+1/10*x^10/b^2+1/5*a^3/b^4/(b*x^5+a)+3/5*a^2*ln(b*x^5+a)/b^4","A"
1279,1,41,40,0.011000," ","int(x^14/(b*x^5+a)^2,x)","\frac{x^{5}}{5 b^{2}}-\frac{a^{2}}{5 \left(b \,x^{5}+a \right) b^{3}}-\frac{2 a \ln \left(b \,x^{5}+a \right)}{5 b^{3}}"," ",0,"1/5*x^5/b^2-1/5*a^2/b^3/(b*x^5+a)-2/5*a*ln(b*x^5+a)/b^3","A"
1280,1,30,29,0.008000," ","int(x^9/(b*x^5+a)^2,x)","\frac{a}{5 \left(b \,x^{5}+a \right) b^{2}}+\frac{\ln \left(b \,x^{5}+a \right)}{5 b^{2}}"," ",0,"1/5*a/b^2/(b*x^5+a)+1/5*ln(b*x^5+a)/b^2","A"
1281,1,15,14,0.000000," ","int(x^4/(b*x^5+a)^2,x)","-\frac{1}{5 \left(b \,x^{5}+a \right) b}"," ",0,"-1/5/b/(b*x^5+a)","A"
1282,1,35,34,0.012000," ","int(1/x/(b*x^5+a)^2,x)","\frac{1}{5 \left(b \,x^{5}+a \right) a}+\frac{\ln \left(x \right)}{a^{2}}-\frac{\ln \left(b \,x^{5}+a \right)}{5 a^{2}}"," ",0,"1/5/a/(b*x^5+a)+1/a^2*ln(x)-1/5*ln(b*x^5+a)/a^2","A"
1283,1,47,46,0.014000," ","int(1/x^6/(b*x^5+a)^2,x)","-\frac{b}{5 \left(b \,x^{5}+a \right) a^{2}}-\frac{2 b \ln \left(x \right)}{a^{3}}+\frac{2 b \ln \left(b \,x^{5}+a \right)}{5 a^{3}}-\frac{1}{5 a^{2} x^{5}}"," ",0,"-1/5/a^2/x^5-1/5*b/a^2/(b*x^5+a)-2/a^3*b*ln(x)+2/5*b*ln(b*x^5+a)/a^3","A"
1284,1,62,61,0.016000," ","int(1/x^11/(b*x^5+a)^2,x)","\frac{b^{2}}{5 \left(b \,x^{5}+a \right) a^{3}}+\frac{3 b^{2} \ln \left(x \right)}{a^{4}}-\frac{3 b^{2} \ln \left(b \,x^{5}+a \right)}{5 a^{4}}+\frac{2 b}{5 a^{3} x^{5}}-\frac{1}{10 a^{2} x^{10}}"," ",0,"-1/10/a^2/x^10+2/5*b/a^3/x^5+1/5*b^2/a^3/(b*x^5+a)+3*b^2*ln(x)/a^4-3/5*b^2*ln(b*x^5+a)/a^4","A"
1285,1,29,28,0.003000," ","int(x^14/(b*x^5+2*b),x)","\frac{x^{10}}{10 b}-\frac{2 x^{5}}{5 b}+\frac{4 \ln \left(x^{5}+2\right)}{5 b}"," ",0,"-2/5/b*x^5+1/10/b*x^10+4/5*ln(x^5+2)/b","A"
1286,1,21,20,0.003000," ","int(x^9/(b*x^5+2*b),x)","\frac{x^{5}}{5 b}-\frac{2 \ln \left(x^{5}+2\right)}{5 b}"," ",0,"1/5/b*x^5-2/5/b*ln(x^5+2)","A"
1287,1,12,11,0.002000," ","int(x^4/(b*x^5+2*b),x)","\frac{\ln \left(x^{5}+2\right)}{5 b}"," ",0,"1/5/b*ln(x^5+2)","A"
1288,1,20,19,0.004000," ","int(1/x/(b*x^5+2*b),x)","\frac{\ln \left(x \right)}{2 b}-\frac{\ln \left(x^{5}+2\right)}{10 b}"," ",0,"1/2*ln(x)/b-1/10/b*ln(x^5+2)","A"
1289,1,28,27,0.006000," ","int(1/x^6/(b*x^5+2*b),x)","-\frac{\ln \left(x \right)}{4 b}+\frac{\ln \left(x^{5}+2\right)}{20 b}-\frac{1}{10 b \,x^{5}}"," ",0,"-1/10/b/x^5-1/4/b*ln(x)+1/20/b*ln(x^5+2)","A"
1290,1,31,30,0.003000," ","int(x^14/(b*x^5+3),x)","\frac{x^{10}}{10 b}-\frac{3 x^{5}}{5 b^{2}}+\frac{9 \ln \left(b \,x^{5}+3\right)}{5 b^{3}}"," ",0,"-3/5/b^2*x^5+1/10/b*x^10+9/5*ln(b*x^5+3)/b^3","A"
1291,1,23,22,0.002000," ","int(x^9/(b*x^5+3),x)","\frac{x^{5}}{5 b}-\frac{3 \ln \left(b \,x^{5}+3\right)}{5 b^{2}}"," ",0,"1/5/b*x^5-3/5*ln(b*x^5+3)/b^2","A"
1292,1,14,13,0.002000," ","int(x^4/(b*x^5+3),x)","\frac{\ln \left(b \,x^{5}+3\right)}{5 b}"," ",0,"1/5*ln(b*x^5+3)/b","A"
1293,1,16,15,0.004000," ","int(1/x/(b*x^5+3),x)","\frac{\ln \left(x \right)}{3}-\frac{\ln \left(b \,x^{5}+3\right)}{15}"," ",0,"1/3*ln(x)-1/15*ln(b*x^5+3)","A"
1294,1,23,22,0.007000," ","int(1/x^6/(b*x^5+3),x)","-\frac{b \ln \left(x \right)}{9}+\frac{b \ln \left(b \,x^{5}+3\right)}{45}-\frac{1}{15 x^{5}}"," ",0,"-1/15/x^5-1/9*b*ln(x)+1/45*b*ln(b*x^5+3)","A"
1295,1,20,19,0.004000," ","int(x^14/(x^5+1),x)","\frac{x^{10}}{10}-\frac{x^{5}}{5}+\frac{\ln \left(x^{5}+1\right)}{5}"," ",0,"-1/5*x^5+1/10*x^10+1/5*ln(x^5+1)","A"
1296,1,15,14,0.002000," ","int(x^9/(x^5+1),x)","\frac{x^{5}}{5}-\frac{\ln \left(x^{5}+1\right)}{5}"," ",0,"1/5*x^5-1/5*ln(x^5+1)","A"
1297,1,9,8,0.001000," ","int(x^4/(x^5+1),x)","\frac{\ln \left(x^{5}+1\right)}{5}"," ",0,"1/5*ln(x^5+1)","A"
1298,1,29,11,0.009000," ","int(1/x/(x^5+1),x)","\ln \left(x \right)-\frac{\ln \left(x +1\right)}{5}-\frac{\ln \left(x^{4}-x^{3}+x^{2}-x +1\right)}{5}"," ",0,"-1/5*ln(x^4-x^3+x^2-x+1)-1/5*ln(x+1)+ln(x)","B"
1299,1,36,18,0.007000," ","int(1/x^6/(x^5+1),x)","-\ln \left(x \right)+\frac{\ln \left(x +1\right)}{5}+\frac{\ln \left(x^{4}-x^{3}+x^{2}-x +1\right)}{5}-\frac{1}{5 x^{5}}"," ",0,"1/5*ln(x^4-x^3+x^2-x+1)+1/5*ln(x+1)-1/5/x^5-ln(x)","A"
1300,1,219,127,0.048000," ","int(x^5/(x^5+1),x)","x -\frac{\arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{\sqrt{10-2 \sqrt{5}}}+\frac{\sqrt{5}\, \arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{5 \sqrt{10-2 \sqrt{5}}}-\frac{\arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{\sqrt{10+2 \sqrt{5}}}-\frac{\sqrt{5}\, \arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{5 \sqrt{10+2 \sqrt{5}}}-\frac{\ln \left(x +1\right)}{5}+\frac{\sqrt{5}\, \ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}+\frac{\ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}-\frac{\sqrt{5}\, \ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}+\frac{\ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}"," ",0,"x-1/20*ln(x*5^(1/2)+2*x^2-x+2)*5^(1/2)+1/20*ln(x*5^(1/2)+2*x^2-x+2)-1/(10+2*5^(1/2))^(1/2)*arctan((5^(1/2)+4*x-1)/(10+2*5^(1/2))^(1/2))-1/5/(10+2*5^(1/2))^(1/2)*arctan((5^(1/2)+4*x-1)/(10+2*5^(1/2))^(1/2))*5^(1/2)+1/20*ln(-x*5^(1/2)+2*x^2-x+2)*5^(1/2)+1/20*ln(-x*5^(1/2)+2*x^2-x+2)-1/(10-2*5^(1/2))^(1/2)*arctan((-5^(1/2)+4*x-1)/(10-2*5^(1/2))^(1/2))+1/5/(10-2*5^(1/2))^(1/2)*arctan((-5^(1/2)+4*x-1)/(10-2*5^(1/2))^(1/2))*5^(1/2)-1/5*ln(x+1)","A"
1301,1,216,126,0.021000," ","int(x^3/(x^5+1),x)","\frac{\arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{\sqrt{10-2 \sqrt{5}}}-\frac{\sqrt{5}\, \arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{5 \sqrt{10-2 \sqrt{5}}}+\frac{\arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{\sqrt{10+2 \sqrt{5}}}+\frac{\sqrt{5}\, \arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{5 \sqrt{10+2 \sqrt{5}}}-\frac{\ln \left(x +1\right)}{5}+\frac{\sqrt{5}\, \ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}+\frac{\ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}-\frac{\sqrt{5}\, \ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}+\frac{\ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}"," ",0,"-1/20*5^(1/2)*ln(2*x^2+5^(1/2)*x-x+2)+1/20*ln(2*x^2+5^(1/2)*x-x+2)+1/(10+2*5^(1/2))^(1/2)*arctan((4*x+5^(1/2)-1)/(10+2*5^(1/2))^(1/2))+1/5/(10+2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x+5^(1/2)-1)/(10+2*5^(1/2))^(1/2))+1/20*5^(1/2)*ln(2*x^2-5^(1/2)*x-x+2)+1/20*ln(2*x^2-5^(1/2)*x-x+2)+1/(10-2*5^(1/2))^(1/2)*arctan((4*x-5^(1/2)-1)/(10-2*5^(1/2))^(1/2))-1/5/(10-2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x-5^(1/2)-1)/(10-2*5^(1/2))^(1/2))-1/5*ln(x+1)","A"
1302,1,156,126,0.020000," ","int(x^2/(x^5+1),x)","\frac{2 \sqrt{5}\, \arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{5 \sqrt{10-2 \sqrt{5}}}-\frac{2 \sqrt{5}\, \arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{5 \sqrt{10+2 \sqrt{5}}}+\frac{\ln \left(x +1\right)}{5}+\frac{\sqrt{5}\, \ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}-\frac{\ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}-\frac{\sqrt{5}\, \ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}-\frac{\ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}"," ",0,"-1/20*5^(1/2)*ln(2*x^2+5^(1/2)*x-x+2)-1/20*ln(2*x^2+5^(1/2)*x-x+2)-2/5/(10+2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x+5^(1/2)-1)/(10+2*5^(1/2))^(1/2))+1/20*5^(1/2)*ln(2*x^2-5^(1/2)*x-x+2)-1/20*ln(2*x^2-5^(1/2)*x-x+2)+2/5/(10-2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x-5^(1/2)-1)/(10-2*5^(1/2))^(1/2))+1/5*ln(x+1)","A"
1303,1,156,126,0.023000," ","int(x/(x^5+1),x)","\frac{2 \sqrt{5}\, \arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{5 \sqrt{10-2 \sqrt{5}}}-\frac{2 \sqrt{5}\, \arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{5 \sqrt{10+2 \sqrt{5}}}-\frac{\ln \left(x +1\right)}{5}-\frac{\sqrt{5}\, \ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}+\frac{\ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}+\frac{\sqrt{5}\, \ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}+\frac{\ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}"," ",0,"1/20*5^(1/2)*ln(2*x^2+5^(1/2)*x-x+2)+1/20*ln(2*x^2+5^(1/2)*x-x+2)-2/5/(10+2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x+5^(1/2)-1)/(10+2*5^(1/2))^(1/2))-1/20*5^(1/2)*ln(2*x^2-5^(1/2)*x-x+2)+1/20*ln(2*x^2-5^(1/2)*x-x+2)+2/5/(10-2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x-5^(1/2)-1)/(10-2*5^(1/2))^(1/2))-1/5*ln(x+1)","A"
1304,1,216,116,0.020000," ","int(1/(x^5+1),x)","\frac{\arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{\sqrt{10-2 \sqrt{5}}}-\frac{\sqrt{5}\, \arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{5 \sqrt{10-2 \sqrt{5}}}+\frac{\arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{\sqrt{10+2 \sqrt{5}}}+\frac{\sqrt{5}\, \arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{5 \sqrt{10+2 \sqrt{5}}}+\frac{\ln \left(x +1\right)}{5}-\frac{\sqrt{5}\, \ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}-\frac{\ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}+\frac{\sqrt{5}\, \ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}-\frac{\ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}"," ",0,"1/20*5^(1/2)*ln(2*x^2+5^(1/2)*x-x+2)-1/20*ln(2*x^2+5^(1/2)*x-x+2)+1/(10+2*5^(1/2))^(1/2)*arctan((4*x+5^(1/2)-1)/(10+2*5^(1/2))^(1/2))+1/5/(10+2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x+5^(1/2)-1)/(10+2*5^(1/2))^(1/2))-1/20*5^(1/2)*ln(2*x^2-5^(1/2)*x-x+2)-1/20*ln(2*x^2-5^(1/2)*x-x+2)+1/(10-2*5^(1/2))^(1/2)*arctan((4*x-5^(1/2)-1)/(10-2*5^(1/2))^(1/2))-1/5/(10-2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x-5^(1/2)-1)/(10-2*5^(1/2))^(1/2))+1/5*ln(x+1)","A"
1305,1,223,131,0.022000," ","int(1/x^2/(x^5+1),x)","-\frac{\arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{\sqrt{10-2 \sqrt{5}}}+\frac{\sqrt{5}\, \arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{5 \sqrt{10-2 \sqrt{5}}}-\frac{\arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{\sqrt{10+2 \sqrt{5}}}-\frac{\sqrt{5}\, \arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{5 \sqrt{10+2 \sqrt{5}}}+\frac{\ln \left(x +1\right)}{5}-\frac{\sqrt{5}\, \ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}-\frac{\ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}+\frac{\sqrt{5}\, \ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}-\frac{\ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}-\frac{1}{x}"," ",0,"-1/x+1/20*5^(1/2)*ln(2*x^2+5^(1/2)*x-x+2)-1/20*ln(2*x^2+5^(1/2)*x-x+2)-1/(10+2*5^(1/2))^(1/2)*arctan((4*x+5^(1/2)-1)/(10+2*5^(1/2))^(1/2))-1/5/(10+2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x+5^(1/2)-1)/(10+2*5^(1/2))^(1/2))-1/20*5^(1/2)*ln(2*x^2-5^(1/2)*x-x+2)-1/20*ln(2*x^2-5^(1/2)*x-x+2)-1/(10-2*5^(1/2))^(1/2)*arctan((4*x-5^(1/2)-1)/(10-2*5^(1/2))^(1/2))+1/5/(10-2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x-5^(1/2)-1)/(10-2*5^(1/2))^(1/2))+1/5*ln(x+1)","A"
1306,1,161,131,0.022000," ","int(1/x^3/(x^5+1),x)","-\frac{2 \sqrt{5}\, \arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{5 \sqrt{10-2 \sqrt{5}}}+\frac{2 \sqrt{5}\, \arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{5 \sqrt{10+2 \sqrt{5}}}-\frac{\ln \left(x +1\right)}{5}-\frac{\sqrt{5}\, \ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}+\frac{\ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}+\frac{\sqrt{5}\, \ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}+\frac{\ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}-\frac{1}{2 x^{2}}"," ",0,"-1/2/x^2+1/20*5^(1/2)*ln(2*x^2+5^(1/2)*x-x+2)+1/20*ln(2*x^2+5^(1/2)*x-x+2)+2/5/(10+2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x+5^(1/2)-1)/(10+2*5^(1/2))^(1/2))-1/20*5^(1/2)*ln(2*x^2-5^(1/2)*x-x+2)+1/20*ln(2*x^2-5^(1/2)*x-x+2)-2/5/(10-2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x-5^(1/2)-1)/(10-2*5^(1/2))^(1/2))-1/5*ln(x+1)","A"
1307,1,161,131,0.023000," ","int(1/x^4/(x^5+1),x)","-\frac{2 \sqrt{5}\, \arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{5 \sqrt{10-2 \sqrt{5}}}+\frac{2 \sqrt{5}\, \arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{5 \sqrt{10+2 \sqrt{5}}}+\frac{\ln \left(x +1\right)}{5}+\frac{\sqrt{5}\, \ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}-\frac{\ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{20}-\frac{\sqrt{5}\, \ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}-\frac{\ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{20}-\frac{1}{3 x^{3}}"," ",0,"-1/3/x^3-1/20*5^(1/2)*ln(2*x^2+5^(1/2)*x-x+2)-1/20*ln(2*x^2+5^(1/2)*x-x+2)+2/5/(10+2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x+5^(1/2)-1)/(10+2*5^(1/2))^(1/2))+1/20*5^(1/2)*ln(2*x^2-5^(1/2)*x-x+2)-1/20*ln(2*x^2-5^(1/2)*x-x+2)-2/5/(10-2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x-5^(1/2)-1)/(10-2*5^(1/2))^(1/2))+1/5*ln(x+1)","A"
1308,0,0,61,0.154000," ","int(x^(23/2)/(b*x^5+a)^(1/2),x)","\int \frac{x^{\frac{23}{2}}}{\sqrt{b \,x^{5}+a}}\, dx"," ",0,"int(x^(23/2)/(b*x^5+a)^(1/2),x)","F"
1309,0,0,41,0.145000," ","int(x^(13/2)/(b*x^5+a)^(1/2),x)","\int \frac{x^{\frac{13}{2}}}{\sqrt{b \,x^{5}+a}}\, dx"," ",0,"int(x^(13/2)/(b*x^5+a)^(1/2),x)","F"
1310,0,0,22,0.141000," ","int(x^(3/2)/(b*x^5+a)^(1/2),x)","\int \frac{x^{\frac{3}{2}}}{\sqrt{b \,x^{5}+a}}\, dx"," ",0,"int(x^(3/2)/(b*x^5+a)^(1/2),x)","F"
1311,1,18,17,0.005000," ","int(1/x^(7/2)/(b*x^5+a)^(1/2),x)","-\frac{2 \sqrt{b \,x^{5}+a}}{5 a \,x^{\frac{5}{2}}}"," ",0,"-2/5*(b*x^5+a)^(1/2)/a/x^(5/2)","A"
1312,1,26,36,0.005000," ","int(1/x^(17/2)/(b*x^5+a)^(1/2),x)","-\frac{2 \sqrt{b \,x^{5}+a}\, \left(-2 b \,x^{5}+a \right)}{15 a^{2} x^{\frac{15}{2}}}"," ",0,"-2/15*(b*x^5+a)^(1/2)*(-2*b*x^5+a)/x^(15/2)/a^2","A"
1313,1,46,31,0.143000," ","int(x^(23/2)/(x^5+1)^(1/2),x)","\frac{\left(2 x^{5}-3\right) \sqrt{x^{5}+1}\, x^{\frac{5}{2}}}{20}+\frac{3 \sqrt{\left(x^{5}+1\right) x}\, \arcsinh \left(x^{\frac{5}{2}}\right)}{20 \sqrt{x^{5}+1}\, \sqrt{x}}"," ",0,"1/20*x^(5/2)*(2*x^5-3)*(x^5+1)^(1/2)+3/20*arcsinh(x^(5/2))*(x*(x^5+1))^(1/2)/x^(1/2)/(x^5+1)^(1/2)","A"
1314,1,39,19,0.131000," ","int(x^(13/2)/(x^5+1)^(1/2),x)","\frac{\sqrt{x^{5}+1}\, x^{\frac{5}{2}}}{5}-\frac{\sqrt{\left(x^{5}+1\right) x}\, \arcsinh \left(x^{\frac{5}{2}}\right)}{5 \sqrt{x^{5}+1}\, \sqrt{x}}"," ",0,"1/5*x^(5/2)*(x^5+1)^(1/2)-1/5*arcsinh(x^(5/2))*((x^5+1)*x)^(1/2)/x^(1/2)/(x^5+1)^(1/2)","A"
1315,1,7,6,0.132000," ","int(x^(3/2)/(x^5+1)^(1/2),x)","\frac{2 \arcsinh \left(x^{\frac{5}{2}}\right)}{5}"," ",0,"2/5*arcsinh(x^(5/2))","A"
1316,1,32,12,0.006000," ","int(1/x^(7/2)/(x^5+1)^(1/2),x)","-\frac{2 \left(x +1\right) \left(x^{4}-x^{3}+x^{2}-x +1\right)}{5 \sqrt{x^{5}+1}\, x^{\frac{5}{2}}}"," ",0,"-2/5/x^(5/2)*(x+1)*(x^4-x^3+x^2-x+1)/(x^5+1)^(1/2)","B"
1317,1,39,25,0.004000," ","int(1/x^(17/2)/(x^5+1)^(1/2),x)","\frac{2 \left(x +1\right) \left(x^{4}-x^{3}+x^{2}-x +1\right) \left(2 x^{5}-1\right)}{15 \sqrt{x^{5}+1}\, x^{\frac{15}{2}}}"," ",0,"2/15*(x+1)*(x^4-x^3+x^2-x+1)*(2*x^5-1)/x^(15/2)/(x^5+1)^(1/2)","A"
1318,1,32,28,0.003000," ","int(x^8/(b*x^6+a),x)","\frac{x^{3}}{3 b}-\frac{a \arctan \left(\frac{b \,x^{3}}{\sqrt{a b}}\right)}{3 \sqrt{a b}\, b}"," ",0,"1/3/b*x^3-1/3*a/b/(a*b)^(1/2)*arctan(b*x^3/(a*b)^(1/2))","A"
1319,1,108,92,0.005000," ","int(x^7/(b*x^6+a),x)","\frac{x^{2}}{2 b}-\frac{\sqrt{3}\, a \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{6 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}-\frac{a \ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}+\frac{a \ln \left(x^{4}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{2}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{12 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}"," ",0,"1/2/b*x^2-1/6*a/b^2/(a/b)^(2/3)*ln(x^2+(a/b)^(1/3))+1/12*a/b^2/(a/b)^(2/3)*ln(x^4-(a/b)^(1/3)*x^2+(a/b)^(2/3))-1/6*a/b^2/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^2-1))","A"
1320,1,164,146,0.097000," ","int(x^6/(b*x^6+a),x)","\frac{x}{b}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{6}} \arctan \left(\frac{x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 b}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{6}} \arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}-\sqrt{3}\right)}{6 b}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{6}} \arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}+\sqrt{3}\right)}{6 b}+\frac{\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} \ln \left(x^{2}-\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{12 b}-\frac{\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} \ln \left(x^{2}+\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{12 b}"," ",0,"1/b*x-1/3/b*(a/b)^(1/6)*arctan(x/(a/b)^(1/6))+1/12/b*3^(1/2)*(a/b)^(1/6)*ln(x^2-3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))-1/6/b*(a/b)^(1/6)*arctan(2*x/(a/b)^(1/6)-3^(1/2))-1/12/b*3^(1/2)*(a/b)^(1/6)*ln(x^2+3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))-1/6/b*(a/b)^(1/6)*arctan(2*x/(a/b)^(1/6)+3^(1/2))","A"
1321,1,14,13,0.002000," ","int(x^5/(b*x^6+a),x)","\frac{\ln \left(b \,x^{6}+a \right)}{6 b}"," ",0,"1/6*ln(b*x^6+a)/b","A"
1322,1,159,141,0.065000," ","int(x^4/(b*x^6+a),x)","\frac{\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{5}{6}} \ln \left(x^{2}-\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{12 a}-\frac{\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{5}{6}} \ln \left(x^{2}+\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{12 a}+\frac{\arctan \left(\frac{x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{6}} b}+\frac{\arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}-\sqrt{3}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{6}} b}+\frac{\arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}+\sqrt{3}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{6}} b}"," ",0,"1/3/b/(a/b)^(1/6)*arctan(1/(a/b)^(1/6)*x)+1/12/a*3^(1/2)*(a/b)^(5/6)*ln(x^2-3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))+1/6/b/(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x-3^(1/2))-1/12/a*3^(1/2)*(a/b)^(5/6)*ln(x^2+3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))+1/6/b/(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x+3^(1/2))","A"
1323,1,97,84,0.002000," ","int(x^3/(b*x^6+a),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{3}} b}-\frac{\ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{3}} b}+\frac{\ln \left(x^{4}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{2}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{12 \left(\frac{a}{b}\right)^{\frac{1}{3}} b}"," ",0,"-1/6/b/(a/b)^(1/3)*ln(x^2+(a/b)^(1/3))+1/12/b/(a/b)^(1/3)*ln(x^4-(a/b)^(1/3)*x^2+(a/b)^(2/3))+1/6*3^(1/2)/b/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^2-1))","A"
1324,1,19,19,0.003000," ","int(x^2/(b*x^6+a),x)","\frac{\arctan \left(\frac{b \,x^{3}}{\sqrt{a b}}\right)}{3 \sqrt{a b}}"," ",0,"1/3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^3)","A"
1325,1,97,84,0.002000," ","int(x/(b*x^6+a),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{6 \left(\frac{a}{b}\right)^{\frac{2}{3}} b}+\frac{\ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{2}{3}} b}-\frac{\ln \left(x^{4}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{2}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{12 \left(\frac{a}{b}\right)^{\frac{2}{3}} b}"," ",0,"1/6/b/(a/b)^(2/3)*ln(x^2+(a/b)^(1/3))-1/12/b/(a/b)^(2/3)*ln(x^4-(a/b)^(1/3)*x^2+(a/b)^(2/3))+1/6/b/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^2-1))","A"
1326,1,159,141,0.050000," ","int(1/(b*x^6+a),x)","\frac{\left(\frac{a}{b}\right)^{\frac{1}{6}} \arctan \left(\frac{x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 a}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{6}} \arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}-\sqrt{3}\right)}{6 a}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{6}} \arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}+\sqrt{3}\right)}{6 a}-\frac{\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} \ln \left(x^{2}-\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{12 a}+\frac{\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} \ln \left(x^{2}+\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{12 a}"," ",0,"1/3/a*(a/b)^(1/6)*arctan(1/(a/b)^(1/6)*x)-1/12/a*3^(1/2)*(a/b)^(1/6)*ln(x^2-3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))+1/6/a*(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x-3^(1/2))+1/12/a*3^(1/2)*(a/b)^(1/6)*ln(x^2+3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))+1/6/a*(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x+3^(1/2))","A"
1327,1,21,20,0.004000," ","int(1/x/(b*x^6+a),x)","\frac{\ln \left(x \right)}{a}-\frac{\ln \left(b \,x^{6}+a \right)}{6 a}"," ",0,"1/a*ln(x)-1/6*ln(b*x^6+a)/a","A"
1328,1,169,149,0.050000," ","int(1/x^2/(b*x^6+a),x)","-\frac{\arctan \left(\frac{x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{6}} a}-\frac{\arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}-\sqrt{3}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{6}} a}-\frac{\arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}+\sqrt{3}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{6}} a}-\frac{\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{5}{6}} b \ln \left(x^{2}-\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{12 a^{2}}+\frac{\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{5}{6}} b \ln \left(x^{2}+\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{12 a^{2}}-\frac{1}{a x}"," ",0,"-1/a/x-1/3/a/(a/b)^(1/6)*arctan(1/(a/b)^(1/6)*x)-1/12/a^2*b*3^(1/2)*(a/b)^(5/6)*ln(x^2-3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))-1/6/a/(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x-3^(1/2))+1/12/a^2*b*3^(1/2)*(a/b)^(5/6)*ln(x^2+3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))-1/6/a/(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x+3^(1/2))","A"
1329,1,105,92,0.004000," ","int(1/x^3/(b*x^6+a),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{3}} a}+\frac{\ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{3}} a}-\frac{\ln \left(x^{4}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{2}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{12 \left(\frac{a}{b}\right)^{\frac{1}{3}} a}-\frac{1}{2 a \,x^{2}}"," ",0,"-1/2/a/x^2+1/6/a/(a/b)^(1/3)*ln(x^2+(a/b)^(1/3))-1/12/a/(a/b)^(1/3)*ln(x^4-(a/b)^(1/3)*x^2+(a/b)^(2/3))-1/6/a*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^2-1))","A"
1330,1,32,28,0.006000," ","int(1/x^4/(b*x^6+a),x)","-\frac{b \arctan \left(\frac{b \,x^{3}}{\sqrt{a b}}\right)}{3 \sqrt{a b}\, a}-\frac{1}{3 a \,x^{3}}"," ",0,"-1/3/a/x^3-1/3/a*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^3)","A"
1331,1,40,37,0.011000," ","int(x^8/(b*x^6+a)^2,x)","-\frac{x^{3}}{6 \left(b \,x^{6}+a \right) b}+\frac{\arctan \left(\frac{b \,x^{3}}{\sqrt{a b}}\right)}{6 \sqrt{a b}\, b}"," ",0,"-1/6*x^3/b/(b*x^6+a)+1/6/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^3)","A"
1332,1,114,101,0.010000," ","int(x^7/(b*x^6+a)^2,x)","-\frac{x^{2}}{6 \left(b \,x^{6}+a \right) b}+\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{18 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}+\frac{\ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{18 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}-\frac{\ln \left(x^{4}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{2}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{36 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}"," ",0,"-1/6*x^2/b/(b*x^6+a)+1/18/b^2/(a/b)^(2/3)*ln(x^2+(a/b)^(1/3))-1/36/b^2/(a/b)^(2/3)*ln(x^4-(a/b)^(1/3)*x^2+(a/b)^(2/3))+1/18/b^2/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^2-1))","A"
1333,1,189,156,0.057000," ","int(x^6/(b*x^6+a)^2,x)","-\frac{x}{6 \left(b \,x^{6}+a \right) b}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{6}} \arctan \left(\frac{x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 a b}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{6}} \arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}-\sqrt{3}\right)}{36 a b}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{6}} \arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}+\sqrt{3}\right)}{36 a b}-\frac{\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} \ln \left(x^{2}-\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{72 a b}+\frac{\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} \ln \left(x^{2}+\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{72 a b}"," ",0,"-1/6*x/b/(b*x^6+a)+1/18/b/a*(a/b)^(1/6)*arctan(1/(a/b)^(1/6)*x)-1/72/b/a*3^(1/2)*(a/b)^(1/6)*ln(x^2-3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))+1/36/b/a*(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x-3^(1/2))+1/72/b/a*3^(1/2)*(a/b)^(1/6)*ln(x^2+3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))+1/36/b/a*(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x+3^(1/2))","A"
1334,1,15,14,0.001000," ","int(x^5/(b*x^6+a)^2,x)","-\frac{1}{6 \left(b \,x^{6}+a \right) b}"," ",0,"-1/6/b/(b*x^6+a)","A"
1335,1,346,158,0.435000," ","int(x^4/(b*x^6+a)^2,x)","\frac{x}{18 \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right) a b}+\frac{x}{18 \left(x^{2}-\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right) a b}+\frac{x}{18 \left(x^{2}+\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right) a b}+\frac{\arctan \left(\frac{x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 \left(\frac{a}{b}\right)^{\frac{1}{6}} a b}+\frac{\arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}-\sqrt{3}\right)}{36 \left(\frac{a}{b}\right)^{\frac{1}{6}} a b}+\frac{\arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}+\sqrt{3}\right)}{36 \left(\frac{a}{b}\right)^{\frac{1}{6}} a b}+\frac{\left(\frac{a}{b}\right)^{\frac{5}{6}} \sqrt{3}\, \ln \left(x^{2}-\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{72 a^{2}}-\frac{\left(\frac{a}{b}\right)^{\frac{5}{6}} \sqrt{3}\, \ln \left(x^{2}+\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{72 a^{2}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{6}} \sqrt{3}}{36 \left(x^{2}-\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right) a b}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{6}} \sqrt{3}}{36 \left(x^{2}+\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right) a b}"," ",0,"1/18/b/a*x/(x^2+(a/b)^(1/3))+1/18/b/a/(a/b)^(1/6)*arctan(1/(a/b)^(1/6)*x)+1/18/b/a/(x^2-3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))*x-1/36/b/a/(x^2-3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))*(a/b)^(1/6)*3^(1/2)+1/72/a^2*(a/b)^(5/6)*3^(1/2)*ln(x^2-3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))+1/36/b/a/(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x-3^(1/2))+1/18/b/a/(x^2+3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))*x+1/36/b/a/(x^2+3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))*(a/b)^(1/6)*3^(1/2)-1/72/a^2*(a/b)^(5/6)*3^(1/2)*ln(x^2+3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))+1/36/b/a/(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x+3^(1/2))","B"
1336,1,123,101,0.007000," ","int(x^3/(b*x^6+a)^2,x)","\frac{x^{4}}{6 \left(b \,x^{6}+a \right) a}+\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{18 \left(\frac{a}{b}\right)^{\frac{1}{3}} a b}-\frac{\ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{18 \left(\frac{a}{b}\right)^{\frac{1}{3}} a b}+\frac{\ln \left(x^{4}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{2}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{36 \left(\frac{a}{b}\right)^{\frac{1}{3}} a b}"," ",0,"1/6*x^4/a/(b*x^6+a)-1/18/a/b/(a/b)^(1/3)*ln(x^2+(a/b)^(1/3))+1/36/a/b/(a/b)^(1/3)*ln(x^4-(a/b)^(1/3)*x^2+(a/b)^(2/3))+1/18/a*3^(1/2)/b/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^2-1))","A"
1337,1,40,37,0.007000," ","int(x^2/(b*x^6+a)^2,x)","\frac{x^{3}}{6 \left(b \,x^{6}+a \right) a}+\frac{\arctan \left(\frac{b \,x^{3}}{\sqrt{a b}}\right)}{6 \sqrt{a b}\, a}"," ",0,"1/6*x^3/a/(b*x^6+a)+1/6/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^3)","A"
1338,1,123,101,0.007000," ","int(x/(b*x^6+a)^2,x)","\frac{x^{2}}{6 \left(b \,x^{6}+a \right) a}+\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a b}+\frac{\ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{2}{3}} a b}-\frac{\ln \left(x^{4}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{2}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{a}{b}\right)^{\frac{2}{3}} a b}"," ",0,"1/6*x^2/a/(b*x^6+a)+1/9/a/b/(a/b)^(2/3)*ln(x^2+(a/b)^(1/3))-1/18/a/b/(a/b)^(2/3)*ln(x^4-(a/b)^(1/3)*x^2+(a/b)^(2/3))+1/9/a/b/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^2-1))","A"
1339,1,343,156,0.454000," ","int(1/(b*x^6+a)^2,x)","\frac{\left(\frac{a}{b}\right)^{\frac{1}{3}} x}{18 \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right) a^{2}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{3}} x}{36 \left(x^{2}-\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right) a^{2}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{3}} x}{36 \left(x^{2}+\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right) a^{2}}+\frac{5 \left(\frac{a}{b}\right)^{\frac{1}{6}} \arctan \left(\frac{x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 a^{2}}+\frac{5 \left(\frac{a}{b}\right)^{\frac{1}{6}} \arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}-\sqrt{3}\right)}{36 a^{2}}+\frac{5 \left(\frac{a}{b}\right)^{\frac{1}{6}} \arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}+\sqrt{3}\right)}{36 a^{2}}-\frac{5 \sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} \ln \left(x^{2}-\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{72 a^{2}}+\frac{5 \sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} \ln \left(x^{2}+\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{72 a^{2}}+\frac{\sqrt{\frac{a}{b}}\, \sqrt{3}}{36 \left(x^{2}-\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right) a^{2}}-\frac{\sqrt{\frac{a}{b}}\, \sqrt{3}}{36 \left(x^{2}+\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right) a^{2}}"," ",0,"1/18*(a/b)^(1/3)/a^2*x/(x^2+(a/b)^(1/3))+5/18*(a/b)^(1/6)/a^2*arctan(1/(a/b)^(1/6)*x)-1/36/a^2/(x^2-3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))*(a/b)^(1/3)*x+1/36/a^2/(x^2-3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))*(a/b)^(1/2)*3^(1/2)-5/72/a^2*3^(1/2)*(a/b)^(1/6)*ln(x^2-3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))+5/36/a^2*(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x-3^(1/2))-1/36/a^2/(x^2+3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))*(a/b)^(1/3)*x-1/36/a^2/(x^2+3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))*(a/b)^(1/2)*3^(1/2)+5/72/a^2*3^(1/2)*(a/b)^(1/6)*ln(x^2+3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))+5/36/a^2*(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x+3^(1/2))","B"
1340,1,35,34,0.011000," ","int(1/x/(b*x^6+a)^2,x)","\frac{1}{6 \left(b \,x^{6}+a \right) a}+\frac{\ln \left(x \right)}{a^{2}}-\frac{\ln \left(b \,x^{6}+a \right)}{6 a^{2}}"," ",0,"1/6/a/(b*x^6+a)+1/a^2*ln(x)-1/6*ln(b*x^6+a)/a^2","A"
1341,1,187,166,0.062000," ","int(1/x^2/(b*x^6+a)^2,x)","-\frac{b \,x^{5}}{6 \left(b \,x^{6}+a \right) a^{2}}-\frac{7 \arctan \left(\frac{x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}\right)}{18 \left(\frac{a}{b}\right)^{\frac{1}{6}} a^{2}}-\frac{7 \arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}-\sqrt{3}\right)}{36 \left(\frac{a}{b}\right)^{\frac{1}{6}} a^{2}}-\frac{7 \arctan \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{6}}}+\sqrt{3}\right)}{36 \left(\frac{a}{b}\right)^{\frac{1}{6}} a^{2}}-\frac{7 \sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{5}{6}} b \ln \left(x^{2}-\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{72 a^{3}}+\frac{7 \sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{5}{6}} b \ln \left(x^{2}+\sqrt{3}\, \left(\frac{a}{b}\right)^{\frac{1}{6}} x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{72 a^{3}}-\frac{1}{a^{2} x}"," ",0,"-1/6/a^2*b*x^5/(b*x^6+a)-7/18/a^2/(a/b)^(1/6)*arctan(1/(a/b)^(1/6)*x)-7/72/a^3*b*3^(1/2)*(a/b)^(5/6)*ln(x^2-3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))-7/36/a^2/(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x-3^(1/2))+7/72/a^3*b*3^(1/2)*(a/b)^(5/6)*ln(x^2+3^(1/2)*(a/b)^(1/6)*x+(a/b)^(1/3))-7/36/a^2/(a/b)^(1/6)*arctan(2/(a/b)^(1/6)*x+3^(1/2))-1/a^2/x","A"
1342,1,123,109,0.013000," ","int(1/x^3/(b*x^6+a)^2,x)","-\frac{b \,x^{4}}{6 \left(b \,x^{6}+a \right) a^{2}}-\frac{2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2}}+\frac{2 \ln \left(x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2}}-\frac{\ln \left(x^{4}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x^{2}+\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{a}{b}\right)^{\frac{1}{3}} a^{2}}-\frac{1}{2 a^{2} x^{2}}"," ",0,"-1/6/a^2*b*x^4/(b*x^6+a)+2/9/a^2/(a/b)^(1/3)*ln(x^2+(a/b)^(1/3))-1/9/a^2/(a/b)^(1/3)*ln(x^4-(a/b)^(1/3)*x^2+(a/b)^(2/3))-2/9/a^2*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x^2-1))-1/2/a^2/x^2","A"
1343,1,50,45,0.013000," ","int(1/x^4/(b*x^6+a)^2,x)","-\frac{b \,x^{3}}{6 \left(b \,x^{6}+a \right) a^{2}}-\frac{b \arctan \left(\frac{b \,x^{3}}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{2}}-\frac{1}{3 a^{2} x^{3}}"," ",0,"-1/6/a^2*b*x^3/(b*x^6+a)-1/2/a^2*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^3)-1/3/a^2/x^3","A"
1344,1,23,12,0.004000," ","int(x^8/(-x^6+1),x)","-\frac{x^{3}}{3}-\frac{\ln \left(x^{3}-1\right)}{6}+\frac{\ln \left(x^{3}+1\right)}{6}"," ",0,"-1/3*x^3-1/6*ln(x^3-1)+1/6*ln(x^3+1)","A"
1345,1,71,45,0.014000," ","int(x^7/(-x^6+1),x)","-\frac{x^{2}}{2}+\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x -1\right)}{6}-\frac{\ln \left(x +1\right)}{6}+\frac{\ln \left(x^{2}-x +1\right)}{12}+\frac{\ln \left(x^{2}+x +1\right)}{12}"," ",0,"-1/2*x^2-1/6*ln(x-1)+1/12*ln(x^2+x+1)-1/6*arctan(1/3*(2*x+1)*3^(1/2))*3^(1/2)+1/12*ln(x^2-x+1)+1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))-1/6*ln(x+1)","A"
1346,1,69,40,0.009000," ","int(x^6/(-x^6+1),x)","-x +\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x -1\right)}{6}+\frac{\ln \left(x +1\right)}{6}-\frac{\ln \left(x^{2}-x +1\right)}{12}+\frac{\ln \left(x^{2}+x +1\right)}{12}"," ",0,"-x-1/6*ln(x-1)+1/12*ln(x^2+x+1)+1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))-1/12*ln(x^2-x+1)+1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))+1/6*ln(x+1)","A"
1347,1,18,10,0.003000," ","int(x^5/(-x^6+1),x)","-\frac{\ln \left(x^{3}-1\right)}{6}-\frac{\ln \left(x^{3}+1\right)}{6}"," ",0,"-1/6*ln(x^3-1)-1/6*ln(x^3+1)","A"
1348,1,66,37,0.010000," ","int(x^4/(-x^6+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x -1\right)}{6}+\frac{\ln \left(x +1\right)}{6}-\frac{\ln \left(x^{2}-x +1\right)}{12}+\frac{\ln \left(x^{2}+x +1\right)}{12}"," ",0,"-1/6*ln(x-1)+1/12*ln(x^2+x+1)-1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))-1/12*ln(x^2-x+1)-1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))+1/6*ln(x+1)","A"
1349,1,66,40,0.009000," ","int(x^3/(-x^6+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x -1\right)}{6}-\frac{\ln \left(x +1\right)}{6}+\frac{\ln \left(x^{2}-x +1\right)}{12}+\frac{\ln \left(x^{2}+x +1\right)}{12}"," ",0,"-1/6*ln(x-1)+1/12*ln(x^2+x+1)+1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))+1/12*ln(x^2-x+1)-1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))-1/6*ln(x+1)","A"
1350,1,18,6,0.002000," ","int(x^2/(-x^6+1),x)","-\frac{\ln \left(x^{3}-1\right)}{6}+\frac{\ln \left(x^{3}+1\right)}{6}"," ",0,"-1/6*ln(x^3-1)+1/6*ln(x^3+1)","B"
1351,1,66,40,0.010000," ","int(x/(-x^6+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x -1\right)}{6}-\frac{\ln \left(x +1\right)}{6}+\frac{\ln \left(x^{2}-x +1\right)}{12}+\frac{\ln \left(x^{2}+x +1\right)}{12}"," ",0,"-1/6*ln(x-1)+1/12*ln(x^2+x+1)-1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))+1/12*ln(x^2-x+1)+1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))-1/6*ln(x+1)","A"
1352,1,66,37,0.008000," ","int(1/(-x^6+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x -1\right)}{6}+\frac{\ln \left(x +1\right)}{6}-\frac{\ln \left(x^{2}-x +1\right)}{12}+\frac{\ln \left(x^{2}+x +1\right)}{12}"," ",0,"-1/6*ln(x-1)+1/12*ln(x^2+x+1)+1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))-1/12*ln(x^2-x+1)+1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))+1/6*ln(x+1)","A"
1353,1,36,13,0.008000," ","int(1/x/(-x^6+1),x)","\ln \left(x \right)-\frac{\ln \left(x -1\right)}{6}-\frac{\ln \left(x +1\right)}{6}-\frac{\ln \left(x^{2}-x +1\right)}{6}-\frac{\ln \left(x^{2}+x +1\right)}{6}"," ",0,"-1/6*ln(x-1)-1/6*ln(x^2-x+1)-1/6*ln(x+1)-1/6*ln(x^2+x+1)+ln(x)","B"
1354,1,71,42,0.010000," ","int(1/x^2/(-x^6+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x -1\right)}{6}+\frac{\ln \left(x +1\right)}{6}-\frac{\ln \left(x^{2}-x +1\right)}{12}+\frac{\ln \left(x^{2}+x +1\right)}{12}-\frac{1}{x}"," ",0,"-1/6*ln(x-1)-1/12*ln(x^2-x+1)-1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))-1/x+1/6*ln(x+1)+1/12*ln(x^2+x+1)-1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
1355,1,71,45,0.011000," ","int(1/x^3/(-x^6+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x -1\right)}{6}-\frac{\ln \left(x +1\right)}{6}+\frac{\ln \left(x^{2}-x +1\right)}{12}+\frac{\ln \left(x^{2}+x +1\right)}{12}-\frac{1}{2 x^{2}}"," ",0,"-1/6*ln(x-1)+1/12*ln(x^2-x+1)-1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))-1/2/x^2-1/6*ln(x+1)+1/12*ln(x^2+x+1)+1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
1356,1,39,12,0.008000," ","int(1/x^4/(-x^6+1),x)","-\frac{\ln \left(x -1\right)}{6}+\frac{\ln \left(x +1\right)}{6}+\frac{\ln \left(x^{2}-x +1\right)}{6}-\frac{\ln \left(x^{2}+x +1\right)}{6}-\frac{1}{3 x^{3}}"," ",0,"-1/6*ln(x-1)+1/6*ln(x^2-x+1)-1/3/x^3+1/6*ln(x+1)-1/6*ln(x^2+x+1)","B"
1357,1,71,45,0.010000," ","int(1/x^5/(-x^6+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x -1\right)}{6}-\frac{\ln \left(x +1\right)}{6}+\frac{\ln \left(x^{2}-x +1\right)}{12}+\frac{\ln \left(x^{2}+x +1\right)}{12}-\frac{1}{4 x^{4}}"," ",0,"-1/6*ln(x-1)-1/4/x^4+1/12*ln(x^2-x+1)+1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))-1/6*ln(x+1)+1/12*ln(x^2+x+1)-1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
1358,1,71,62,0.010000," ","int(1/x^6/(-x^6+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x -1\right)}{6}+\frac{\ln \left(x +1\right)}{6}-\frac{\ln \left(x^{2}-x +1\right)}{12}+\frac{\ln \left(x^{2}+x +1\right)}{12}-\frac{1}{5 x^{5}}"," ",0,"-1/5/x^5-1/6*ln(x-1)-1/12*ln(x^2-x+1)+1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))+1/6*ln(x+1)+1/12*ln(x^2+x+1)+1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
1359,1,41,18,0.010000," ","int(1/x^7/(-x^6+1),x)","\ln \left(x \right)-\frac{\ln \left(x -1\right)}{6}-\frac{\ln \left(x +1\right)}{6}-\frac{\ln \left(x^{2}-x +1\right)}{6}-\frac{\ln \left(x^{2}+x +1\right)}{6}-\frac{1}{6 x^{6}}"," ",0,"-1/6*ln(x-1)-1/6*ln(x^2-x+1)-1/6*ln(x+1)-1/6*ln(x^2+x+1)-1/6/x^6+ln(x)","B"
1360,1,76,67,0.013000," ","int(1/x^8/(-x^6+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x -1\right)}{6}+\frac{\ln \left(x +1\right)}{6}-\frac{\ln \left(x^{2}-x +1\right)}{12}+\frac{\ln \left(x^{2}+x +1\right)}{12}-\frac{1}{x}-\frac{1}{7 x^{7}}"," ",0,"-1/6*ln(x-1)-1/12*ln(x^2-x+1)-1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))+1/6*ln(x+1)+1/12*ln(x^2+x+1)-1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))-1/7/x^7-1/x","A"
1361,1,13,12,0.002000," ","int(x^8/(x^6+1),x)","\frac{x^{3}}{3}-\frac{\arctan \left(x^{3}\right)}{3}"," ",0,"1/3*x^3-1/3*arctan(x^3)","A"
1362,1,46,45,0.007000," ","int(x^7/(x^6+1),x)","\frac{x^{2}}{2}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{2}-1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x^{2}+1\right)}{6}+\frac{\ln \left(x^{4}-x^{2}+1\right)}{12}"," ",0,"1/2*x^2+1/12*ln(x^4-x^2+1)-1/6*3^(1/2)*arctan(1/3*(2*x^2-1)*3^(1/2))-1/6*ln(x^2+1)","A"
1363,1,62,61,0.036000," ","int(x^6/(x^6+1),x)","x -\frac{\arctan \left(x \right)}{3}-\frac{\arctan \left(2 x -\sqrt{3}\right)}{6}-\frac{\arctan \left(2 x +\sqrt{3}\right)}{6}+\frac{\sqrt{3}\, \ln \left(x^{2}-\sqrt{3}\, x +1\right)}{12}-\frac{\sqrt{3}\, \ln \left(x^{2}+\sqrt{3}\, x +1\right)}{12}"," ",0,"x-1/3*arctan(x)-1/6*arctan(2*x-3^(1/2))-1/6*arctan(2*x+3^(1/2))+1/12*ln(1+x^2-3^(1/2)*x)*3^(1/2)-1/12*ln(1+x^2+3^(1/2)*x)*3^(1/2)","A"
1364,1,9,8,0.001000," ","int(x^5/(x^6+1),x)","\frac{\ln \left(x^{6}+1\right)}{6}"," ",0,"1/6*ln(x^6+1)","A"
1365,1,61,60,0.018000," ","int(x^4/(x^6+1),x)","\frac{\arctan \left(x \right)}{3}+\frac{\arctan \left(2 x -\sqrt{3}\right)}{6}+\frac{\arctan \left(2 x +\sqrt{3}\right)}{6}+\frac{\sqrt{3}\, \ln \left(x^{2}-\sqrt{3}\, x +1\right)}{12}-\frac{\sqrt{3}\, \ln \left(x^{2}+\sqrt{3}\, x +1\right)}{12}"," ",0,"1/3*arctan(x)+1/6*arctan(2*x-3^(1/2))+1/6*arctan(2*x+3^(1/2))+1/12*3^(1/2)*ln(x^2-3^(1/2)*x+1)-1/12*3^(1/2)*ln(x^2+3^(1/2)*x+1)","A"
1366,1,41,40,0.007000," ","int(x^3/(x^6+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{2}-1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x^{2}+1\right)}{6}+\frac{\ln \left(x^{4}-x^{2}+1\right)}{12}"," ",0,"1/12*ln(x^4-x^2+1)+1/6*3^(1/2)*arctan(1/3*(2*x^2-1)*3^(1/2))-1/6*ln(x^2+1)","A"
1367,1,7,6,0.001000," ","int(x^2/(x^6+1),x)","\frac{\arctan \left(x^{3}\right)}{3}"," ",0,"1/3*arctan(x^3)","A"
1368,1,41,40,0.005000," ","int(x/(x^6+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{2}-1\right) \sqrt{3}}{3}\right)}{6}+\frac{\ln \left(x^{2}+1\right)}{6}-\frac{\ln \left(x^{4}-x^{2}+1\right)}{12}"," ",0,"-1/12*ln(x^4-x^2+1)+1/6*3^(1/2)*arctan(1/3*(2*x^2-1)*3^(1/2))+1/6*ln(x^2+1)","A"
1369,1,61,60,0.015000," ","int(1/(x^6+1),x)","\frac{\arctan \left(x \right)}{3}+\frac{\arctan \left(2 x -\sqrt{3}\right)}{6}+\frac{\arctan \left(2 x +\sqrt{3}\right)}{6}-\frac{\sqrt{3}\, \ln \left(x^{2}-\sqrt{3}\, x +1\right)}{12}+\frac{\sqrt{3}\, \ln \left(x^{2}+\sqrt{3}\, x +1\right)}{12}"," ",0,"1/3*arctan(x)+1/6*arctan(2*x-3^(1/2))+1/6*arctan(2*x+3^(1/2))-1/12*3^(1/2)*ln(x^2-3^(1/2)*x+1)+1/12*3^(1/2)*ln(x^2+3^(1/2)*x+1)","A"
1370,1,25,11,0.007000," ","int(1/x/(x^6+1),x)","\ln \left(x \right)-\frac{\ln \left(x^{2}+1\right)}{6}-\frac{\ln \left(x^{4}-x^{2}+1\right)}{6}"," ",0,"-1/6*ln(x^2+1)-1/6*ln(x^4-x^2+1)+ln(x)","B"
1371,1,66,65,0.017000," ","int(1/x^2/(x^6+1),x)","-\frac{\arctan \left(x \right)}{3}-\frac{\arctan \left(2 x -\sqrt{3}\right)}{6}-\frac{\arctan \left(2 x +\sqrt{3}\right)}{6}-\frac{\sqrt{3}\, \ln \left(x^{2}-\sqrt{3}\, x +1\right)}{12}+\frac{\sqrt{3}\, \ln \left(x^{2}+\sqrt{3}\, x +1\right)}{12}-\frac{1}{x}"," ",0,"-1/x-1/3*arctan(x)-1/6*arctan(2*x-3^(1/2))-1/6*arctan(2*x+3^(1/2))-1/12*3^(1/2)*ln(x^2-3^(1/2)*x+1)+1/12*3^(1/2)*ln(x^2+3^(1/2)*x+1)","A"
1372,1,46,45,0.010000," ","int(1/x^3/(x^6+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{2}-1\right) \sqrt{3}}{3}\right)}{6}+\frac{\ln \left(x^{2}+1\right)}{6}-\frac{\ln \left(x^{4}-x^{2}+1\right)}{12}-\frac{1}{2 x^{2}}"," ",0,"1/6*ln(x^2+1)-1/2/x^2-1/12*ln(x^4-x^2+1)-1/6*3^(1/2)*arctan(1/3*(2*x^2-1)*3^(1/2))","A"
1373,1,33,12,0.016000," ","int(1/x^4/(x^6+1),x)","\frac{\arctan \left(x \right)}{3}-\frac{\arctan \left(2 x -\sqrt{3}\right)}{3}-\frac{\arctan \left(2 x +\sqrt{3}\right)}{3}-\frac{1}{3 x^{3}}"," ",0,"-1/3/x^3+1/3*arctan(x)-1/3*arctan(2*x-3^(1/2))-1/3*arctan(2*x+3^(1/2))","B"
1374,1,46,45,0.008000," ","int(1/x^5/(x^6+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{2}-1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x^{2}+1\right)}{6}+\frac{\ln \left(x^{4}-x^{2}+1\right)}{12}-\frac{1}{4 x^{4}}"," ",0,"-1/4/x^4-1/6*ln(x^2+1)+1/12*ln(x^4-x^2+1)-1/6*3^(1/2)*arctan(1/3*(2*x^2-1)*3^(1/2))","A"
1375,1,66,65,0.015000," ","int(1/x^6/(x^6+1),x)","-\frac{\arctan \left(x \right)}{3}-\frac{\arctan \left(2 x -\sqrt{3}\right)}{6}-\frac{\arctan \left(2 x +\sqrt{3}\right)}{6}+\frac{\sqrt{3}\, \ln \left(x^{2}-\sqrt{3}\, x +1\right)}{12}-\frac{\sqrt{3}\, \ln \left(x^{2}+\sqrt{3}\, x +1\right)}{12}-\frac{1}{5 x^{5}}"," ",0,"-1/5/x^5-1/3*arctan(x)-1/6*arctan(2*x-3^(1/2))-1/6*arctan(2*x+3^(1/2))+1/12*3^(1/2)*ln(x^2-3^(1/2)*x+1)-1/12*3^(1/2)*ln(x^2+3^(1/2)*x+1)","A"
1376,1,32,18,0.010000," ","int(1/x^7/(x^6+1),x)","-\ln \left(x \right)+\frac{\ln \left(x^{2}+1\right)}{6}+\frac{\ln \left(x^{4}-x^{2}+1\right)}{6}-\frac{1}{6 x^{6}}"," ",0,"1/6*ln(x^2+1)+1/6*ln(x^4-x^2+1)-1/6/x^6-ln(x)","A"
1377,1,69,68,0.016000," ","int(1/x^8/(x^6+1),x)","\frac{\arctan \left(x \right)}{3}+\frac{\arctan \left(2 x -\sqrt{3}\right)}{6}+\frac{\arctan \left(2 x +\sqrt{3}\right)}{6}+\frac{\sqrt{3}\, \ln \left(x^{2}-\sqrt{3}\, x +1\right)}{12}-\frac{\sqrt{3}\, \ln \left(x^{2}+\sqrt{3}\, x +1\right)}{12}+\frac{1}{x}-\frac{1}{7 x^{7}}"," ",0,"-1/7/x^7+1/x+1/3*arctan(x)+1/6*arctan(2*x-3^(1/2))+1/6*arctan(2*x+3^(1/2))+1/12*3^(1/2)*ln(x^2-3^(1/2)*x+1)-1/12*3^(1/2)*ln(x^2+3^(1/2)*x+1)","A"
1378,1,228,118,0.224000," ","int(1/(-3*x^6+2),x)","-\frac{2^{\frac{1}{6}} 3^{\frac{1}{3}} \arctan \left(\frac{\sqrt{2}\, 12^{\frac{2}{3}} x}{6}-\frac{\sqrt{2}\, \sqrt{6}}{6}\right)}{36}+\frac{2^{\frac{5}{6}} 3^{\frac{2}{3}} 12^{\frac{2}{3}} \arctan \left(\frac{\sqrt{2}\, 12^{\frac{2}{3}} x}{6}-\frac{\sqrt{2}\, \sqrt{6}}{6}\right)}{108}-\frac{2^{\frac{1}{6}} 3^{\frac{1}{3}} \arctan \left(\frac{\sqrt{2}\, 12^{\frac{2}{3}} x}{6}+\frac{\sqrt{2}\, \sqrt{6}}{6}\right)}{36}+\frac{2^{\frac{5}{6}} 3^{\frac{2}{3}} 12^{\frac{2}{3}} \arctan \left(\frac{\sqrt{2}\, 12^{\frac{2}{3}} x}{6}+\frac{\sqrt{2}\, \sqrt{6}}{6}\right)}{108}-\frac{\sqrt{6}\, 3^{\frac{1}{3}} 2^{\frac{2}{3}} \ln \left(6 x -\sqrt{6}\, 3^{\frac{1}{3}} 2^{\frac{2}{3}}\right)}{72}+\frac{\sqrt{6}\, 3^{\frac{1}{3}} 2^{\frac{2}{3}} \ln \left(6 x +\sqrt{6}\, 3^{\frac{1}{3}} 2^{\frac{2}{3}}\right)}{72}-\frac{2^{\frac{2}{3}} 3^{\frac{1}{3}} \sqrt{6}\, \ln \left(6 x^{2}-\sqrt{6}\, 12^{\frac{1}{3}} x +12^{\frac{2}{3}}\right)}{144}+\frac{2^{\frac{2}{3}} 3^{\frac{1}{3}} \sqrt{6}\, \ln \left(6 x^{2}+\sqrt{6}\, 12^{\frac{1}{3}} x +12^{\frac{2}{3}}\right)}{144}"," ",0,"-1/72*6^(1/2)*3^(1/3)*2^(2/3)*ln(-6^(1/2)*3^(1/3)*2^(2/3)+6*x)-1/144*2^(2/3)*3^(1/3)*6^(1/2)*ln(-x*6^(1/2)*12^(1/3)+12^(2/3)+6*x^2)-1/36*2^(1/6)*3^(1/3)*arctan(-1/6*2^(1/2)*6^(1/2)+1/6*2^(1/2)*12^(2/3)*x)+1/108*2^(5/6)*3^(2/3)*12^(2/3)*arctan(-1/6*2^(1/2)*6^(1/2)+1/6*2^(1/2)*12^(2/3)*x)+1/72*6^(1/2)*3^(1/3)*2^(2/3)*ln(6^(1/2)*3^(1/3)*2^(2/3)+6*x)+1/144*2^(2/3)*3^(1/3)*6^(1/2)*ln(x*6^(1/2)*12^(1/3)+12^(2/3)+6*x^2)-1/36*2^(1/6)*3^(1/3)*arctan(1/6*2^(1/2)*6^(1/2)+1/6*2^(1/2)*12^(2/3)*x)+1/108*2^(5/6)*3^(2/3)*12^(2/3)*arctan(1/6*2^(1/2)*6^(1/2)+1/6*2^(1/2)*12^(2/3)*x)","A"
1379,1,162,167,0.038000," ","int(x^(1/3)/(-x^6+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{\frac{1}{3}}-1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{\frac{1}{3}}+1\right) \sqrt{3}}{3}\right)}{6}-\frac{\ln \left(x^{\frac{1}{3}}+1\right)}{6}-\frac{\ln \left(x^{\frac{1}{3}}-1\right)}{6}+\frac{\ln \left(x^{\frac{2}{3}}-x^{\frac{1}{3}}+1\right)}{12}+\frac{\ln \left(x^{\frac{2}{3}}+x^{\frac{1}{3}}+1\right)}{12}-\frac{\left(-\RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{3}+1\right)^{3}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{3}+1\right)+x^{\frac{1}{3}}\right)}{6 \left(2 \RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{3}+1\right)^{5}+\RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{3}+1\right)^{2}\right)}+\frac{\left(\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{3}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)+x^{\frac{1}{3}}\right)}{12 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{5}-6 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{2}}"," ",0,"-1/6*ln(x^(1/3)-1)-1/6*sum((-_R^3+1)/(2*_R^5+_R^2)*ln(x^(1/3)-_R),_R=RootOf(_Z^6+_Z^3+1))+1/12*ln(x^(2/3)+x^(1/3)+1)+1/6*3^(1/2)*arctan(1/3*(2*x^(1/3)+1)*3^(1/2))+1/12*ln(x^(2/3)-x^(1/3)+1)-1/6*3^(1/2)*arctan(1/3*(2*x^(1/3)-1)*3^(1/2))+1/6*sum((_R^3+1)/(2*_R^5-_R^2)*ln(x^(1/3)-_R),_R=RootOf(_Z^6-_Z^3+1))-1/6*ln(1+x^(1/3))","C"
1380,1,53,46,0.159000," ","int(x^8*(4*x^6-1)^(1/2),x)","\frac{\left(8 x^{6}-1\right) \sqrt{4 x^{6}-1}\, x^{3}}{96}-\frac{\sqrt{-\mathrm{signum}\left(4 x^{6}-1\right)}\, \arcsin \left(2 x^{3}\right)}{192 \sqrt{\mathrm{signum}\left(4 x^{6}-1\right)}}"," ",0,"1/96*x^3*(8*x^6-1)*(4*x^6-1)^(1/2)-1/192/signum(4*x^6-1)^(1/2)*(-signum(4*x^6-1))^(1/2)*arcsin(2*x^3)","C"
1381,1,43,13,0.008000," ","int(x^5*(a^6-x^6)^(1/2),x)","-\frac{\left(a -x \right) \left(a +x \right) \left(a^{2}+a x +x^{2}\right) \left(a^{2}-a x +x^{2}\right) \sqrt{a^{6}-x^{6}}}{9}"," ",0,"-1/9*(a-x)*(a+x)*(a^2+a*x+x^2)*(a^2-a*x+x^2)*(a^6-x^6)^(1/2)","B"
1382,1,47,27,0.159000," ","int(x^2*(x^6-2)^(1/2),x)","\frac{\sqrt{x^{6}-2}\, x^{3}}{6}-\frac{\sqrt{-\mathrm{signum}\left(\frac{x^{6}}{2}-1\right)}\, \arcsin \left(\frac{\sqrt{2}\, x^{3}}{2}\right)}{3 \sqrt{\mathrm{signum}\left(\frac{x^{6}}{2}-1\right)}}"," ",0,"1/6*x^3*(x^6-2)^(1/2)-1/3/signum(-1+1/2*x^6)^(1/2)*(-signum(-1+1/2*x^6))^(1/2)*arcsin(1/2*x^3*2^(1/2))","C"
1383,1,27,37,0.006000," ","int(x^23/(x^6+2)^(1/2),x)","\frac{\sqrt{x^{6}+2}\, \left(5 x^{18}-12 x^{12}+32 x^{6}-128\right)}{105}"," ",0,"1/105*(x^6+2)^(1/2)*(5*x^18-12*x^12+32*x^6-128)","A"
1384,1,22,28,0.004000," ","int(x^17/(x^6+2)^(1/2),x)","\frac{\sqrt{x^{6}+2}\, \left(3 x^{12}-8 x^{6}+32\right)}{45}"," ",0,"1/45*(x^6+2)^(1/2)*(3*x^12-8*x^6+32)","A"
1385,1,15,19,0.005000," ","int(x^11/(x^6+2)^(1/2),x)","\frac{\sqrt{x^{6}+2}\, \left(x^{6}-4\right)}{9}"," ",0,"1/9*(x^6+2)^(1/2)*(x^6-4)","A"
1386,1,10,9,0.005000," ","int(x^5/(x^6+2)^(1/2),x)","\frac{\sqrt{x^{6}+2}}{3}"," ",0,"1/3*(x^6+2)^(1/2)","A"
1387,1,26,18,0.006000," ","int(1/x/(x^6+2)^(1/2),x)","\frac{\sqrt{2}\, \ln \left(\frac{\sqrt{x^{6}+2}-\sqrt{2}}{\sqrt{x^{6}}}\right)}{6}"," ",0,"1/6*2^(1/2)*ln(((x^6+2)^(1/2)-2^(1/2))/(x^6)^(1/2))","A"
1388,1,39,31,0.024000," ","int(1/x^7/(x^6+2)^(1/2),x)","-\frac{\sqrt{2}\, \ln \left(\frac{\sqrt{x^{6}+2}-\sqrt{2}}{\sqrt{x^{6}}}\right)}{24}-\frac{\sqrt{x^{6}+2}}{12 x^{6}}"," ",0,"-1/12*(x^6+2)^(1/2)/x^6-1/24*2^(1/2)*ln(((x^6+2)^(1/2)-2^(1/2))/(x^6)^(1/2))","A"
1389,1,51,43,0.025000," ","int(1/x^13/(x^6+2)^(1/2),x)","\frac{\sqrt{2}\, \ln \left(\frac{\sqrt{x^{6}+2}-\sqrt{2}}{\sqrt{x^{6}}}\right)}{64}+\frac{3 x^{12}+2 x^{6}-8}{96 \sqrt{x^{6}+2}\, x^{12}}"," ",0,"1/96*(3*x^12+2*x^6-8)/x^12/(x^6+2)^(1/2)+1/64*2^(1/2)*ln(((x^6+2)^(1/2)-2^(1/2))/(x^6)^(1/2))","A"
1390,1,30,36,0.137000," ","int(x^14/(x^6+2)^(1/2),x)","\frac{\left(x^{6}-3\right) \sqrt{x^{6}+2}\, x^{3}}{12}+\frac{\arcsinh \left(\frac{\sqrt{2}\, x^{3}}{2}\right)}{2}"," ",0,"1/12*x^3*(x^6-3)*(x^6+2)^(1/2)+1/2*arcsinh(1/2*2^(1/2)*x^3)","A"
1391,1,25,24,0.135000," ","int(x^8/(x^6+2)^(1/2),x)","\frac{\sqrt{x^{6}+2}\, x^{3}}{6}-\frac{\arcsinh \left(\frac{\sqrt{2}\, x^{3}}{2}\right)}{3}"," ",0,"-1/3*arcsinh(1/2*2^(1/2)*x^3)+1/6*x^3*(x^6+2)^(1/2)","A"
1392,1,12,11,0.137000," ","int(x^2/(x^6+2)^(1/2),x)","\frac{\arcsinh \left(\frac{\sqrt{2}\, x^{3}}{2}\right)}{3}"," ",0,"1/3*arcsinh(1/2*2^(1/2)*x^3)","A"
1393,1,13,12,0.004000," ","int(1/x^4/(x^6+2)^(1/2),x)","-\frac{\sqrt{x^{6}+2}}{6 x^{3}}"," ",0,"-1/6*(x^6+2)^(1/2)/x^3","A"
1394,1,18,25,0.004000," ","int(1/x^10/(x^6+2)^(1/2),x)","\frac{\sqrt{x^{6}+2}\, \left(x^{6}-1\right)}{18 x^{9}}"," ",0,"1/18*(x^6+2)^(1/2)*(x^6-1)/x^9","A"
1395,1,25,37,0.005000," ","int(1/x^16/(x^6+2)^(1/2),x)","-\frac{\sqrt{x^{6}+2}\, \left(2 x^{12}-2 x^{6}+3\right)}{90 x^{15}}"," ",0,"-1/90*(x^6+2)^(1/2)*(2*x^12-2*x^6+3)/x^15","A"
1396,1,33,145,0.139000," ","int(x^7/(x^6+2)^(1/2),x)","-\frac{\sqrt{2}\, x^{2} \hypergeom \left(\left[\frac{1}{3}, \frac{1}{2}\right], \left[\frac{4}{3}\right], -\frac{x^{6}}{2}\right)}{5}+\frac{\sqrt{x^{6}+2}\, x^{2}}{5}"," ",0,"1/5*x^2*(x^6+2)^(1/2)-1/5*2^(1/2)*x^2*hypergeom([1/3,1/2],[4/3],-1/2*x^6)","C"
1397,1,20,132,0.138000," ","int(x/(x^6+2)^(1/2),x)","\frac{\sqrt{2}\, x^{2} \hypergeom \left(\left[\frac{1}{3}, \frac{1}{2}\right], \left[\frac{4}{3}\right], -\frac{x^{6}}{2}\right)}{4}"," ",0,"1/4*2^(1/2)*x^2*hypergeom([1/3,1/2],[4/3],-1/2*x^6)","C"
1398,1,33,145,0.138000," ","int(1/x^5/(x^6+2)^(1/2),x)","-\frac{\sqrt{2}\, x^{2} \hypergeom \left(\left[\frac{1}{3}, \frac{1}{2}\right], \left[\frac{4}{3}\right], -\frac{x^{6}}{2}\right)}{32}-\frac{\sqrt{x^{6}+2}}{8 x^{4}}"," ",0,"-1/8*(x^6+2)^(1/2)/x^4-1/32*2^(1/2)*x^2*hypergeom([1/3,1/2],[4/3],-1/2*x^6)","C"
1399,1,29,210,0.141000," ","int(x^6/(x^6+2)^(1/2),x)","-\frac{\sqrt{2}\, x \hypergeom \left(\left[\frac{1}{6}, \frac{1}{2}\right], \left[\frac{7}{6}\right], -\frac{x^{6}}{2}\right)}{4}+\frac{\sqrt{x^{6}+2}\, x}{4}"," ",0,"1/4*x*(x^6+2)^(1/2)-1/4*2^(1/2)*x*hypergeom([1/6,1/2],[7/6],-1/2*x^6)","C"
1400,1,18,199,0.132000," ","int(1/(x^6+2)^(1/2),x)","\frac{\sqrt{2}\, x \hypergeom \left(\left[\frac{1}{6}, \frac{1}{2}\right], \left[\frac{7}{6}\right], -\frac{x^{6}}{2}\right)}{2}"," ",0,"1/2*2^(1/2)*x*hypergeom([1/6,1/2],[7/6],-1/2*x^6)","C"
1401,1,31,212,0.133000," ","int(1/x^6/(x^6+2)^(1/2),x)","-\frac{\sqrt{2}\, x \hypergeom \left(\left[\frac{1}{6}, \frac{1}{2}\right], \left[\frac{7}{6}\right], -\frac{x^{6}}{2}\right)}{10}-\frac{\sqrt{x^{6}+2}}{10 x^{5}}"," ",0,"-1/10*(x^6+2)^(1/2)/x^5-1/10*2^(1/2)*x*hypergeom([1/6,1/2],[7/6],-1/2*x^6)","C"
1402,1,33,290,0.147000," ","int(x^9/(x^6+2)^(1/2),x)","-\frac{\sqrt{2}\, x^{4} \hypergeom \left(\left[\frac{1}{2}, \frac{2}{3}\right], \left[\frac{5}{3}\right], -\frac{x^{6}}{2}\right)}{7}+\frac{\sqrt{x^{6}+2}\, x^{4}}{7}"," ",0,"1/7*x^4*(x^6+2)^(1/2)-1/7*2^(1/2)*x^4*hypergeom([1/2,2/3],[5/3],-1/2*x^6)","C"
1403,1,20,277,0.149000," ","int(x^3/(x^6+2)^(1/2),x)","\frac{\sqrt{2}\, x^{4} \hypergeom \left(\left[\frac{1}{2}, \frac{2}{3}\right], \left[\frac{5}{3}\right], -\frac{x^{6}}{2}\right)}{8}"," ",0,"1/8*2^(1/2)*x^4*hypergeom([1/2,2/3],[5/3],-1/2*x^6)","C"
1404,1,33,290,0.136000," ","int(1/x^3/(x^6+2)^(1/2),x)","\frac{\sqrt{2}\, x^{4} \hypergeom \left(\left[\frac{1}{2}, \frac{2}{3}\right], \left[\frac{5}{3}\right], -\frac{x^{6}}{2}\right)}{32}-\frac{\sqrt{x^{6}+2}}{4 x^{2}}"," ",0,"-1/4*(x^6+2)^(1/2)/x^2+1/32*2^(1/2)*x^4*hypergeom([1/2,2/3],[5/3],-1/2*x^6)","C"
1405,1,33,448,0.142000," ","int(x^10/(x^6+2)^(1/2),x)","-\frac{\sqrt{2}\, x^{5} \hypergeom \left(\left[\frac{1}{2}, \frac{5}{6}\right], \left[\frac{11}{6}\right], -\frac{x^{6}}{2}\right)}{8}+\frac{\sqrt{x^{6}+2}\, x^{5}}{8}"," ",0,"1/8*x^5*(x^6+2)^(1/2)-1/8*2^(1/2)*x^5*hypergeom([1/2,5/6],[11/6],-1/2*x^6)","C"
1406,1,20,436,0.136000," ","int(x^4/(x^6+2)^(1/2),x)","\frac{\sqrt{2}\, x^{5} \hypergeom \left(\left[\frac{1}{2}, \frac{5}{6}\right], \left[\frac{11}{6}\right], -\frac{x^{6}}{2}\right)}{10}"," ",0,"1/10*2^(1/2)*x^5*hypergeom([1/2,5/6],[11/6],-1/2*x^6)","C"
1407,1,33,448,0.016000," ","int(1/x^2/(x^6+2)^(1/2),x)","\frac{\sqrt{2}\, x^{5} \hypergeom \left(\left[\frac{1}{2}, \frac{5}{6}\right], \left[\frac{11}{6}\right], -\frac{x^{6}}{2}\right)}{10}-\frac{\sqrt{x^{6}+2}}{2 x}"," ",0,"-1/2*(x^6+2)^(1/2)/x+1/10*2^(1/2)*x^5*hypergeom([1/2,5/6],[11/6],-1/2*x^6)","C"
1408,1,25,37,0.006000," ","int(x^23/(x^6+2)^(3/2),x)","\frac{x^{18}-4 x^{12}+32 x^{6}+128}{15 \sqrt{x^{6}+2}}"," ",0,"1/15*(x^18-4*x^12+32*x^6+128)/(x^6+2)^(1/2)","A"
1409,1,20,28,0.006000," ","int(x^17/(x^6+2)^(3/2),x)","\frac{x^{12}-8 x^{6}-32}{9 \sqrt{x^{6}+2}}"," ",0,"1/9*(x^12-8*x^6-32)/(x^6+2)^(1/2)","A"
1410,1,15,19,0.006000," ","int(x^11/(x^6+2)^(3/2),x)","\frac{x^{6}+4}{3 \sqrt{x^{6}+2}}"," ",0,"1/3*(x^6+4)/(x^6+2)^(1/2)","A"
1411,1,10,9,0.003000," ","int(x^5/(x^6+2)^(3/2),x)","-\frac{1}{3 \sqrt{x^{6}+2}}"," ",0,"-1/3/(x^6+2)^(1/2)","A"
1412,1,36,28,0.017000," ","int(1/x/(x^6+2)^(3/2),x)","\frac{\sqrt{2}\, \ln \left(\frac{\sqrt{x^{6}+2}-\sqrt{2}}{\sqrt{x^{6}}}\right)}{12}+\frac{1}{6 \sqrt{x^{6}+2}}"," ",0,"1/6/(x^6+2)^(1/2)+1/12*2^(1/2)*ln(((x^6+2)^(1/2)-2^(1/2))/(x^6)^(1/2))","A"
1413,1,46,40,0.021000," ","int(1/x^7/(x^6+2)^(3/2),x)","-\frac{\sqrt{2}\, \ln \left(\frac{\sqrt{x^{6}+2}-\sqrt{2}}{\sqrt{x^{6}}}\right)}{16}-\frac{3 x^{6}+2}{24 \sqrt{x^{6}+2}\, x^{6}}"," ",0,"-1/24*(3*x^6+2)/x^6/(x^6+2)^(1/2)-1/16*2^(1/2)*ln(((x^6+2)^(1/2)-2^(1/2))/(x^6)^(1/2))","A"
1414,1,51,52,0.029000," ","int(1/x^13/(x^6+2)^(3/2),x)","\frac{5 \sqrt{2}\, \ln \left(\frac{\sqrt{x^{6}+2}-\sqrt{2}}{\sqrt{x^{6}}}\right)}{128}+\frac{15 x^{12}+10 x^{6}-8}{192 \sqrt{x^{6}+2}\, x^{12}}"," ",0,"1/192*(15*x^12+10*x^6-8)/x^12/(x^6+2)^(1/2)+5/128*2^(1/2)*ln(((x^6+2)^(1/2)-2^(1/2))/(x^6)^(1/2))","A"
1415,1,30,36,0.139000," ","int(x^14/(x^6+2)^(3/2),x)","\frac{\left(x^{6}+6\right) x^{3}}{6 \sqrt{x^{6}+2}}-\arcsinh \left(\frac{\sqrt{2}\, x^{3}}{2}\right)"," ",0,"1/6*x^3*(x^6+6)/(x^6+2)^(1/2)-arcsinh(1/2*2^(1/2)*x^3)","A"
1416,1,25,24,0.015000," ","int(x^8/(x^6+2)^(3/2),x)","-\frac{x^{3}}{3 \sqrt{x^{6}+2}}+\frac{\arcsinh \left(\frac{\sqrt{2}\, x^{3}}{2}\right)}{3}"," ",0,"1/3*arcsinh(1/2*2^(1/2)*x^3)-1/3*x^3/(x^6+2)^(1/2)","A"
1417,1,13,12,0.003000," ","int(x^2/(x^6+2)^(3/2),x)","\frac{x^{3}}{6 \sqrt{x^{6}+2}}"," ",0,"1/6/(x^6+2)^(1/2)*x^3","A"
1418,1,18,25,0.003000," ","int(1/x^4/(x^6+2)^(3/2),x)","-\frac{x^{6}+1}{6 \sqrt{x^{6}+2}\, x^{3}}"," ",0,"-1/6*(x^6+1)/x^3/(x^6+2)^(1/2)","A"
1419,1,25,37,0.004000," ","int(1/x^10/(x^6+2)^(3/2),x)","\frac{2 x^{12}+2 x^{6}-1}{18 \sqrt{x^{6}+2}\, x^{9}}"," ",0,"1/18*(2*x^12+2*x^6-1)/x^9/(x^6+2)^(1/2)","A"
1420,1,40,157,0.150000," ","int(x^13/(x^6+2)^(3/2),x)","-\frac{8 \sqrt{2}\, x^{2} \hypergeom \left(\left[\frac{1}{3}, \frac{1}{2}\right], \left[\frac{4}{3}\right], -\frac{x^{6}}{2}\right)}{15}+\frac{\left(3 x^{6}+16\right) x^{2}}{15 \sqrt{x^{6}+2}}"," ",0,"1/15*x^2*(3*x^6+16)/(x^6+2)^(1/2)-8/15*2^(1/2)*x^2*hypergeom([1/3,1/2],[4/3],-1/2*x^6)","C"
1421,1,33,145,0.133000," ","int(x^7/(x^6+2)^(3/2),x)","\frac{\sqrt{2}\, x^{2} \hypergeom \left(\left[\frac{1}{3}, \frac{1}{2}\right], \left[\frac{4}{3}\right], -\frac{x^{6}}{2}\right)}{6}-\frac{x^{2}}{3 \sqrt{x^{6}+2}}"," ",0,"-1/3*x^2/(x^6+2)^(1/2)+1/6*2^(1/2)*x^2*hypergeom([1/3,1/2],[4/3],-1/2*x^6)","C"
1422,1,33,145,0.156000," ","int(x/(x^6+2)^(3/2),x)","\frac{\sqrt{2}\, x^{2} \hypergeom \left(\left[\frac{1}{3}, \frac{1}{2}\right], \left[\frac{4}{3}\right], -\frac{x^{6}}{2}\right)}{24}+\frac{x^{2}}{6 \sqrt{x^{6}+2}}"," ",0,"1/6/(x^6+2)^(1/2)*x^2+1/24*2^(1/2)*x^2*hypergeom([1/3,1/2],[4/3],-1/2*x^6)","C"
1423,1,40,157,0.135000," ","int(1/x^5/(x^6+2)^(3/2),x)","-\frac{7 \sqrt{2}\, x^{2} \hypergeom \left(\left[\frac{1}{3}, \frac{1}{2}\right], \left[\frac{4}{3}\right], -\frac{x^{6}}{2}\right)}{192}-\frac{7 x^{6}+6}{48 \sqrt{x^{6}+2}\, x^{4}}"," ",0,"-1/48*(7*x^6+6)/x^4/(x^6+2)^(1/2)-7/192*2^(1/2)*x^2*hypergeom([1/3,1/2],[4/3],-1/2*x^6)","C"
1424,1,36,222,0.135000," ","int(x^12/(x^6+2)^(3/2),x)","-\frac{7 \sqrt{2}\, x \hypergeom \left(\left[\frac{1}{6}, \frac{1}{2}\right], \left[\frac{7}{6}\right], -\frac{x^{6}}{2}\right)}{12}+\frac{\left(3 x^{6}+14\right) x}{12 \sqrt{x^{6}+2}}"," ",0,"1/12*x*(3*x^6+14)/(x^6+2)^(1/2)-7/12*2^(1/2)*x*hypergeom([1/6,1/2],[7/6],-1/2*x^6)","C"
1425,1,29,210,0.135000," ","int(x^6/(x^6+2)^(3/2),x)","\frac{\sqrt{2}\, x \hypergeom \left(\left[\frac{1}{6}, \frac{1}{2}\right], \left[\frac{7}{6}\right], -\frac{x^{6}}{2}\right)}{6}-\frac{x}{3 \sqrt{x^{6}+2}}"," ",0,"-1/3*x/(x^6+2)^(1/2)+1/6*2^(1/2)*x*hypergeom([1/6,1/2],[7/6],-1/2*x^6)","C"
1426,1,18,210,0.141000," ","int(1/(x^6+2)^(3/2),x)","\frac{\sqrt{2}\, x \hypergeom \left(\left[\frac{1}{6}, \frac{3}{2}\right], \left[\frac{7}{6}\right], -\frac{x^{6}}{2}\right)}{4}"," ",0,"1/4*2^(1/2)*x*hypergeom([1/6,3/2],[7/6],-1/2*x^6)","C"
1427,1,38,224,0.134000," ","int(1/x^6/(x^6+2)^(3/2),x)","-\frac{2 \sqrt{2}\, x \hypergeom \left(\left[\frac{1}{6}, \frac{1}{2}\right], \left[\frac{7}{6}\right], -\frac{x^{6}}{2}\right)}{15}-\frac{4 x^{6}+3}{30 \sqrt{x^{6}+2}\, x^{5}}"," ",0,"-1/30*(4*x^6+3)/x^5/(x^6+2)^(1/2)-2/15*2^(1/2)*x*hypergeom([1/6,1/2],[7/6],-1/2*x^6)","C"
1428,1,40,302,0.135000," ","int(x^15/(x^6+2)^(3/2),x)","-\frac{10 \sqrt{2}\, x^{4} \hypergeom \left(\left[\frac{1}{2}, \frac{2}{3}\right], \left[\frac{5}{3}\right], -\frac{x^{6}}{2}\right)}{21}+\frac{\left(3 x^{6}+20\right) x^{4}}{21 \sqrt{x^{6}+2}}"," ",0,"1/21*x^4*(3*x^6+20)/(x^6+2)^(1/2)-10/21*2^(1/2)*x^4*hypergeom([1/2,2/3],[5/3],-1/2*x^6)","C"
1429,1,33,290,0.136000," ","int(x^9/(x^6+2)^(3/2),x)","\frac{\sqrt{2}\, x^{4} \hypergeom \left(\left[\frac{1}{2}, \frac{2}{3}\right], \left[\frac{5}{3}\right], -\frac{x^{6}}{2}\right)}{6}-\frac{x^{4}}{3 \sqrt{x^{6}+2}}"," ",0,"-1/3*x^4/(x^6+2)^(1/2)+1/6*2^(1/2)*x^4*hypergeom([1/2,2/3],[5/3],-1/2*x^6)","C"
1430,1,33,290,0.137000," ","int(x^3/(x^6+2)^(3/2),x)","-\frac{\sqrt{2}\, x^{4} \hypergeom \left(\left[\frac{1}{2}, \frac{2}{3}\right], \left[\frac{5}{3}\right], -\frac{x^{6}}{2}\right)}{48}+\frac{x^{4}}{6 \sqrt{x^{6}+2}}"," ",0,"1/6/(x^6+2)^(1/2)*x^4-1/48*2^(1/2)*x^4*hypergeom([1/2,2/3],[5/3],-1/2*x^6)","C"
1431,1,40,302,0.135000," ","int(1/x^3/(x^6+2)^(3/2),x)","\frac{5 \sqrt{2}\, x^{4} \hypergeom \left(\left[\frac{1}{2}, \frac{2}{3}\right], \left[\frac{5}{3}\right], -\frac{x^{6}}{2}\right)}{192}-\frac{5 x^{6}+6}{24 \sqrt{x^{6}+2}\, x^{2}}"," ",0,"-1/24*(5*x^6+6)/x^2/(x^6+2)^(1/2)+5/192*2^(1/2)*x^4*hypergeom([1/2,2/3],[5/3],-1/2*x^6)","C"
1432,1,33,448,0.134000," ","int(x^10/(x^6+2)^(3/2),x)","\frac{\sqrt{2}\, x^{5} \hypergeom \left(\left[\frac{1}{2}, \frac{5}{6}\right], \left[\frac{11}{6}\right], -\frac{x^{6}}{2}\right)}{6}-\frac{x^{5}}{3 \sqrt{x^{6}+2}}"," ",0,"-1/3*x^5/(x^6+2)^(1/2)+1/6*2^(1/2)*x^5*hypergeom([1/2,5/6],[11/6],-1/2*x^6)","C"
1433,1,33,448,0.138000," ","int(x^4/(x^6+2)^(3/2),x)","-\frac{\sqrt{2}\, x^{5} \hypergeom \left(\left[\frac{1}{2}, \frac{5}{6}\right], \left[\frac{11}{6}\right], -\frac{x^{6}}{2}\right)}{30}+\frac{x^{5}}{6 \sqrt{x^{6}+2}}"," ",0,"1/6/(x^6+2)^(1/2)*x^5-1/30*2^(1/2)*x^5*hypergeom([1/2,5/6],[11/6],-1/2*x^6)","C"
1434,1,40,460,0.138000," ","int(1/x^2/(x^6+2)^(3/2),x)","\frac{\sqrt{2}\, x^{5} \hypergeom \left(\left[\frac{1}{2}, \frac{5}{6}\right], \left[\frac{11}{6}\right], -\frac{x^{6}}{2}\right)}{15}-\frac{2 x^{6}+3}{6 \sqrt{x^{6}+2}\, x}"," ",0,"-1/6*(2*x^6+3)/x/(x^6+2)^(1/2)+1/15*2^(1/2)*x^5*hypergeom([1/2,5/6],[11/6],-1/2*x^6)","C"
1435,1,35,25,0.005000," ","int(x^m*(b*x^7+a),x)","\frac{\left(b m \,x^{7}+b \,x^{7}+a m +8 a \right) x^{m +1}}{\left(m +8\right) \left(m +1\right)}"," ",0,"x^(m+1)*(b*m*x^7+b*x^7+a*m+8*a)/(8+m)/(m+1)","A"
1436,1,14,13,0.000000," ","int(x^8*(b*x^7+a),x)","\frac{1}{16} b \,x^{16}+\frac{1}{9} a \,x^{9}"," ",0,"1/9*a*x^9+1/16*b*x^16","A"
1437,1,12,11,0.005000," ","int((b*x^7+a)/x^8,x)","b \ln \left(x \right)-\frac{a}{7 x^{7}}"," ",0,"-1/7*a/x^7+b*ln(x)","A"
1438,1,93,43,0.008000," ","int(x^m*(b*x^7+a)^2,x)","\frac{\left(b^{2} m^{2} x^{14}+9 b^{2} m \,x^{14}+8 b^{2} x^{14}+2 a b \,m^{2} x^{7}+32 a b m \,x^{7}+30 a b \,x^{7}+a^{2} m^{2}+23 a^{2} m +120 a^{2}\right) x^{m +1}}{\left(m +1\right) \left(m +8\right) \left(m +15\right)}"," ",0,"x^(m+1)*(b^2*m^2*x^14+9*b^2*m*x^14+8*b^2*x^14+2*a*b*m^2*x^7+32*a*b*m*x^7+30*a*b*x^7+a^2*m^2+23*a^2*m+120*a^2)/(m+1)/(m+8)/(15+m)","B"
1439,1,25,24,0.001000," ","int(x^8*(b*x^7+a)^2,x)","\frac{1}{23} b^{2} x^{23}+\frac{1}{8} a b \,x^{16}+\frac{1}{9} a^{2} x^{9}"," ",0,"1/9*a^2*x^9+1/8*a*b*x^16+1/23*b^2*x^23","A"
1440,1,24,23,0.007000," ","int((b*x^7+a)^2/x^8,x)","\frac{b^{2} x^{7}}{7}+2 a b \ln \left(x \right)-\frac{a^{2}}{7 x^{7}}"," ",0,"-1/7*a^2/x^7+1/7*b^2*x^7+2*a*b*ln(x)","A"
1441,0,0,37,0.145000," ","int(x^m/(b*x^7+a),x)","\int \frac{x^{m}}{b \,x^{7}+a}\, dx"," ",0,"int(x^m/(b*x^7+a),x)","F"
1442,1,14,13,0.001000," ","int(x^6/(b*x^7+a),x)","\frac{\ln \left(b \,x^{7}+a \right)}{7 b}"," ",0,"1/7*ln(b*x^7+a)/b","A"
1443,1,27,224,0.444000," ","int(1/(b*x^7+a),x)","\frac{\ln \left(-\RootOf \left(b \,\textit{\_Z}^{7}+a \right)+x \right)}{7 b \RootOf \left(b \,\textit{\_Z}^{7}+a \right)^{6}}"," ",0,"1/7/b*sum(1/_R^6*ln(x-_R),_R=RootOf(_Z^7*b+a))","C"
1444,1,21,20,0.004000," ","int(1/x/(b*x^7+a),x)","\frac{\ln \left(x \right)}{a}-\frac{\ln \left(b \,x^{7}+a \right)}{7 a}"," ",0,"1/a*ln(x)-1/7*ln(b*x^7+a)/a","A"
1445,0,0,36,0.141000," ","int(x^m/(-b*x^7+a),x)","\int \frac{x^{m}}{-b \,x^{7}+a}\, dx"," ",0,"int(x^m/(-b*x^7+a),x)","F"
1446,1,16,14,0.001000," ","int(x^6/(-b*x^7+a),x)","-\frac{\ln \left(b \,x^{7}-a \right)}{7 b}"," ",0,"-1/7/b*ln(b*x^7-a)","A"
1447,1,29,223,0.063000," ","int(1/(-b*x^7+a),x)","-\frac{\ln \left(-\RootOf \left(b \,\textit{\_Z}^{7}-a \right)+x \right)}{7 b \RootOf \left(b \,\textit{\_Z}^{7}-a \right)^{6}}"," ",0,"-1/7/b*sum(1/_R^6*ln(-_R+x),_R=RootOf(_Z^7*b-a))","C"
1448,1,23,21,0.005000," ","int(1/x/(-b*x^7+a),x)","\frac{\ln \left(x \right)}{a}-\frac{\ln \left(b \,x^{7}-a \right)}{7 a}"," ",0,"-1/7/a*ln(b*x^7-a)+1/a*ln(x)","A"
1449,1,89,122,0.013000," ","int(1/(-x^7+1),x)","-\frac{\ln \left(x -1\right)}{7}+\frac{\left(\RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{5}+2 \RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{4}+3 \RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{3}+4 \RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{2}+5 \RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}+\textit{\_Z} +1\right)+6\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}+\textit{\_Z} +1\right)+x \right)}{42 \RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{5}+35 \RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{4}+28 \RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{3}+21 \RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}+\textit{\_Z} +1\right)^{2}+14 \RootOf \left(\textit{\_Z}^{6}+\textit{\_Z}^{5}+\textit{\_Z}^{4}+\textit{\_Z}^{3}+\textit{\_Z}^{2}+\textit{\_Z} +1\right)+7}"," ",0,"-1/7*ln(x-1)+1/7*sum((_R^5+2*_R^4+3*_R^3+4*_R^2+5*_R+6)/(6*_R^5+5*_R^4+4*_R^3+3*_R^2+2*_R+1)*ln(-_R+x),_R=RootOf(_Z^6+_Z^5+_Z^4+_Z^3+_Z^2+_Z+1))","C"
1450,1,97,122,0.010000," ","int(1/(x^7+1),x)","\frac{\ln \left(x +1\right)}{7}+\frac{\left(-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{5}+\textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{5}+2 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{5}+\textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{4}-3 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{5}+\textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{3}+4 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{5}+\textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}-5 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{5}+\textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-\textit{\_Z} +1\right)+6\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{5}+\textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-\textit{\_Z} +1\right)+x \right)}{42 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{5}+\textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{5}-35 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{5}+\textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{4}+28 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{5}+\textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{3}-21 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{5}+\textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-\textit{\_Z} +1\right)^{2}+14 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{5}+\textit{\_Z}^{4}-\textit{\_Z}^{3}+\textit{\_Z}^{2}-\textit{\_Z} +1\right)-7}"," ",0,"1/7*sum((-_R^5+2*_R^4-3*_R^3+4*_R^2-5*_R+6)/(6*_R^5-5*_R^4+4*_R^3-3*_R^2+2*_R-1)*ln(-_R+x),_R=RootOf(_Z^6-_Z^5+_Z^4-_Z^3+_Z^2-_Z+1))+1/7*ln(x+1)","C"
1451,1,144,136,0.007000," ","int(x^9/(b*x^8+a),x)","\frac{x^{2}}{2 b}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{8 b}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{8 b}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{4}+\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x^{2}+\sqrt{\frac{a}{b}}}{x^{4}-\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x^{2}+\sqrt{\frac{a}{b}}}\right)}{16 b}"," ",0,"1/2/b*x^2-1/16/b*(a/b)^(1/4)*2^(1/2)*ln((x^4+(a/b)^(1/4)*x^2*2^(1/2)+(a/b)^(1/2))/(x^4-(a/b)^(1/4)*x^2*2^(1/2)+(a/b)^(1/2)))-1/8/b*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^2+1)-1/8/b*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^2-1)","A"
1452,1,14,13,0.002000," ","int(x^7/(b*x^8+a),x)","\frac{\ln \left(b \,x^{8}+a \right)}{8 b}"," ",0,"1/8*ln(b*x^8+a)/b","A"
1453,1,136,128,0.003000," ","int(x^5/(b*x^8+a),x)","\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{a}{b}\right)^{\frac{1}{4}} b}+\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{a}{b}\right)^{\frac{1}{4}} b}+\frac{\sqrt{2}\, \ln \left(\frac{x^{4}-\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x^{2}+\sqrt{\frac{a}{b}}}{x^{4}+\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x^{2}+\sqrt{\frac{a}{b}}}\right)}{16 \left(\frac{a}{b}\right)^{\frac{1}{4}} b}"," ",0,"1/16/b/(a/b)^(1/4)*2^(1/2)*ln((x^4-(a/b)^(1/4)*2^(1/2)*x^2+(a/b)^(1/2))/(x^4+(a/b)^(1/4)*2^(1/2)*x^2+(a/b)^(1/2)))+1/8/b/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^2+1)+1/8/b/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^2-1)","A"
1454,1,19,19,0.003000," ","int(x^3/(b*x^8+a),x)","\frac{\arctan \left(\frac{b \,x^{4}}{\sqrt{a b}}\right)}{4 \sqrt{a b}}"," ",0,"1/4/(a*b)^(1/2)*arctan(b*x^4/(a*b)^(1/2))","A"
1455,1,136,128,0.003000," ","int(x/(b*x^8+a),x)","\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{8 a}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{8 a}+\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{4}+\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x^{2}+\sqrt{\frac{a}{b}}}{x^{4}-\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x^{2}+\sqrt{\frac{a}{b}}}\right)}{16 a}"," ",0,"1/16*(a/b)^(1/4)/a*2^(1/2)*ln((x^4+(a/b)^(1/4)*2^(1/2)*x^2+(a/b)^(1/2))/(x^4-(a/b)^(1/4)*2^(1/2)*x^2+(a/b)^(1/2)))+1/8*(a/b)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^2+1)+1/8*(a/b)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^2-1)","A"
1456,1,21,20,0.006000," ","int(1/x/(b*x^8+a),x)","\frac{\ln \left(x \right)}{a}-\frac{\ln \left(b \,x^{8}+a \right)}{8 a}"," ",0,"1/a*ln(x)-1/8*ln(b*x^8+a)/a","A"
1457,1,144,136,0.006000," ","int(1/x^3/(b*x^8+a),x)","-\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{a}{b}\right)^{\frac{1}{4}} a}-\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{a}{b}\right)^{\frac{1}{4}} a}-\frac{\sqrt{2}\, \ln \left(\frac{x^{4}-\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x^{2}+\sqrt{\frac{a}{b}}}{x^{4}+\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x^{2}+\sqrt{\frac{a}{b}}}\right)}{16 \left(\frac{a}{b}\right)^{\frac{1}{4}} a}-\frac{1}{2 a \,x^{2}}"," ",0,"-1/16/a/(a/b)^(1/4)*2^(1/2)*ln((x^4-(a/b)^(1/4)*2^(1/2)*x^2+(a/b)^(1/2))/(x^4+(a/b)^(1/4)*2^(1/2)*x^2+(a/b)^(1/2)))-1/8/a/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^2+1)-1/8/a/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^2-1)-1/2/a/x^2","A"
1458,1,32,28,0.007000," ","int(1/x^5/(b*x^8+a),x)","-\frac{b \arctan \left(\frac{b \,x^{4}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a}-\frac{1}{4 a \,x^{4}}"," ",0,"-1/4/a/x^4-1/4/a*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x^4)","A"
1459,1,147,136,0.005000," ","int(1/x^7/(b*x^8+a),x)","-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{8 a^{2}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, b \arctan \left(\frac{\sqrt{2}\, x^{2}}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{8 a^{2}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, b \ln \left(\frac{x^{4}+\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x^{2}+\sqrt{\frac{a}{b}}}{x^{4}-\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x^{2}+\sqrt{\frac{a}{b}}}\right)}{16 a^{2}}-\frac{1}{6 a \,x^{6}}"," ",0,"-1/16/a^2*b*(a/b)^(1/4)*2^(1/2)*ln((x^4+(a/b)^(1/4)*2^(1/2)*x^2+(a/b)^(1/2))/(x^4-(a/b)^(1/4)*2^(1/2)*x^2+(a/b)^(1/2)))-1/8/a^2*b*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^2+1)-1/8/a^2*b*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x^2-1)-1/6/a/x^6","A"
1460,1,32,31,0.006000," ","int(1/x^9/(b*x^8+a),x)","-\frac{b \ln \left(x \right)}{a^{2}}+\frac{b \ln \left(b \,x^{8}+a \right)}{8 a^{2}}-\frac{1}{8 a \,x^{8}}"," ",0,"-1/8/a/x^8-1/a^2*b*ln(x)+1/8*b*ln(b*x^8+a)/a^2","A"
1461,1,34,187,0.018000," ","int(x^8/(b*x^8+a),x)","-\frac{a \ln \left(-\RootOf \left(b \,\textit{\_Z}^{8}+a \right)+x \right)}{8 b^{2} \RootOf \left(b \,\textit{\_Z}^{8}+a \right)^{7}}+\frac{x}{b}"," ",0,"1/b*x-1/8*a/b^2*sum(1/_R^7*ln(-_R+x),_R=RootOf(_Z^8*b+a))","C"
1462,1,27,182,0.013000," ","int(x^6/(b*x^8+a),x)","\frac{\ln \left(-\RootOf \left(b \,\textit{\_Z}^{8}+a \right)+x \right)}{8 b \RootOf \left(b \,\textit{\_Z}^{8}+a \right)}"," ",0,"1/8/b*sum(1/_R*ln(-_R+x),_R=RootOf(_Z^8*b+a))","C"
1463,1,27,182,0.013000," ","int(x^4/(b*x^8+a),x)","\frac{\ln \left(-\RootOf \left(b \,\textit{\_Z}^{8}+a \right)+x \right)}{8 b \RootOf \left(b \,\textit{\_Z}^{8}+a \right)^{3}}"," ",0,"1/8/b*sum(1/_R^3*ln(-_R+x),_R=RootOf(_Z^8*b+a))","C"
1464,1,27,182,0.013000," ","int(x^2/(b*x^8+a),x)","\frac{\ln \left(-\RootOf \left(b \,\textit{\_Z}^{8}+a \right)+x \right)}{8 b \RootOf \left(b \,\textit{\_Z}^{8}+a \right)^{5}}"," ",0,"1/8/b*sum(1/_R^5*ln(-_R+x),_R=RootOf(_Z^8*b+a))","C"
1465,1,27,182,0.003000," ","int(1/(b*x^8+a),x)","\frac{\ln \left(-\RootOf \left(b \,\textit{\_Z}^{8}+a \right)+x \right)}{8 b \RootOf \left(b \,\textit{\_Z}^{8}+a \right)^{7}}"," ",0,"1/8/b*sum(1/_R^7*ln(-_R+x),_R=RootOf(_Z^8*b+a))","C"
1466,1,36,190,0.006000," ","int(1/x^2/(b*x^8+a),x)","-\frac{\ln \left(-\RootOf \left(b \,\textit{\_Z}^{8}+a \right)+x \right)}{8 a \RootOf \left(b \,\textit{\_Z}^{8}+a \right)}-\frac{1}{a x}"," ",0,"-1/8/a*sum(1/_R*ln(-_R+x),_R=RootOf(_Z^8*b+a))-1/a/x","C"
1467,1,36,190,0.005000," ","int(1/x^4/(b*x^8+a),x)","-\frac{\ln \left(-\RootOf \left(b \,\textit{\_Z}^{8}+a \right)+x \right)}{8 a \RootOf \left(b \,\textit{\_Z}^{8}+a \right)^{3}}-\frac{1}{3 a \,x^{3}}"," ",0,"-1/3/a/x^3-1/8/a*sum(1/_R^3*ln(-_R+x),_R=RootOf(_Z^8*b+a))","C"
1468,1,36,190,0.006000," ","int(1/x^6/(b*x^8+a),x)","-\frac{\ln \left(-\RootOf \left(b \,\textit{\_Z}^{8}+a \right)+x \right)}{8 a \RootOf \left(b \,\textit{\_Z}^{8}+a \right)^{5}}-\frac{1}{5 a \,x^{5}}"," ",0,"-1/5/a/x^5-1/8/a*sum(1/_R^5*ln(-_R+x),_R=RootOf(_Z^8*b+a))","C"
1469,1,36,190,0.004000," ","int(1/x^8/(b*x^8+a),x)","-\frac{\ln \left(-\RootOf \left(b \,\textit{\_Z}^{8}+a \right)+x \right)}{8 a \RootOf \left(b \,\textit{\_Z}^{8}+a \right)^{7}}-\frac{1}{7 a \,x^{7}}"," ",0,"-1/8/a*sum(1/_R^7*ln(-_R+x),_R=RootOf(_Z^8*b+a))-1/7/a/x^7","C"
1470,1,29,154,0.013000," ","int(1/(-b*x^8+a),x)","-\frac{\ln \left(-\RootOf \left(b \,\textit{\_Z}^{8}-a \right)+x \right)}{8 b \RootOf \left(b \,\textit{\_Z}^{8}-a \right)^{7}}"," ",0,"-1/8/b*sum(1/_R^7*ln(-_R+x),_R=RootOf(_Z^8*b-a))","C"
1471,1,33,18,0.006000," ","int(x^9/(-x^8+1),x)","-\frac{x^{2}}{2}+\frac{\arctan \left(x^{2}\right)}{4}-\frac{\ln \left(x -1\right)}{8}-\frac{\ln \left(x +1\right)}{8}+\frac{\ln \left(x^{2}+1\right)}{8}"," ",0,"-1/2*x^2-1/8*ln(x-1)-1/8*ln(x+1)+1/8*ln(x^2+1)+1/4*arctan(x^2)","A"
1472,1,30,10,0.007000," ","int(x^7/(-x^8+1),x)","-\frac{\ln \left(x -1\right)}{8}-\frac{\ln \left(x +1\right)}{8}-\frac{\ln \left(x^{2}+1\right)}{8}-\frac{\ln \left(x^{4}+1\right)}{8}"," ",0,"-1/8*ln(x-1)-1/8*ln(x+1)-1/8*ln(x^2+1)-1/8*ln(x^4+1)","B"
1473,1,28,13,0.005000," ","int(x^5/(-x^8+1),x)","-\frac{\arctan \left(x^{2}\right)}{4}-\frac{\ln \left(x -1\right)}{8}-\frac{\ln \left(x +1\right)}{8}+\frac{\ln \left(x^{2}+1\right)}{8}"," ",0,"-1/8*ln(x-1)-1/8*ln(x+1)+1/8*ln(x^2+1)-1/4*arctan(x^2)","B"
1474,1,30,6,0.004000," ","int(x^3/(-x^8+1),x)","-\frac{\ln \left(x -1\right)}{8}-\frac{\ln \left(x +1\right)}{8}-\frac{\ln \left(x^{2}+1\right)}{8}+\frac{\ln \left(x^{4}+1\right)}{8}"," ",0,"-1/8*ln(x-1)-1/8*ln(x+1)-1/8*ln(x^2+1)+1/8*ln(x^4+1)","B"
1475,1,28,13,0.005000," ","int(x/(-x^8+1),x)","\frac{\arctan \left(x^{2}\right)}{4}-\frac{\ln \left(x -1\right)}{8}-\frac{\ln \left(x +1\right)}{8}+\frac{\ln \left(x^{2}+1\right)}{8}"," ",0,"-1/8*ln(x-1)-1/8*ln(x+1)+1/8*ln(x^2+1)+1/4*arctan(x^2)","B"
1476,1,32,13,0.011000," ","int(1/x/(-x^8+1),x)","\ln \left(x \right)-\frac{\ln \left(x -1\right)}{8}-\frac{\ln \left(x +1\right)}{8}-\frac{\ln \left(x^{2}+1\right)}{8}-\frac{\ln \left(x^{4}+1\right)}{8}"," ",0,"-1/8*ln(x-1)-1/8*ln(x^2+1)-1/8*ln(x^4+1)-1/8*ln(x+1)+ln(x)","B"
1477,1,33,18,0.012000," ","int(1/x^3/(-x^8+1),x)","-\frac{\arctan \left(x^{2}\right)}{4}-\frac{\ln \left(x -1\right)}{8}-\frac{\ln \left(x +1\right)}{8}+\frac{\ln \left(x^{2}+1\right)}{8}-\frac{1}{2 x^{2}}"," ",0,"-1/8*ln(x-1)+1/8*ln(x^2+1)-1/4*arctan(x^2)-1/2/x^2-1/8*ln(x+1)","A"
1478,1,35,12,0.009000," ","int(1/x^5/(-x^8+1),x)","-\frac{\ln \left(x -1\right)}{8}-\frac{\ln \left(x +1\right)}{8}-\frac{\ln \left(x^{2}+1\right)}{8}+\frac{\ln \left(x^{4}+1\right)}{8}-\frac{1}{4 x^{4}}"," ",0,"-1/8*ln(x-1)-1/4/x^4-1/8*ln(x^2+1)+1/8*ln(x^4+1)-1/8*ln(x+1)","B"
1479,1,33,18,0.010000," ","int(1/x^7/(-x^8+1),x)","\frac{\arctan \left(x^{2}\right)}{4}-\frac{\ln \left(x -1\right)}{8}-\frac{\ln \left(x +1\right)}{8}+\frac{\ln \left(x^{2}+1\right)}{8}-\frac{1}{6 x^{6}}"," ",0,"-1/8*ln(x-1)+1/8*ln(x^2+1)+1/4*arctan(x^2)-1/6/x^6-1/8*ln(x+1)","A"
1480,1,37,18,0.013000," ","int(1/x^9/(-x^8+1),x)","\ln \left(x \right)-\frac{\ln \left(x -1\right)}{8}-\frac{\ln \left(x +1\right)}{8}-\frac{\ln \left(x^{2}+1\right)}{8}-\frac{\ln \left(x^{4}+1\right)}{8}-\frac{1}{8 x^{8}}"," ",0,"-1/8*ln(x-1)-1/8*ln(x^2+1)-1/8*ln(x^4+1)-1/8*ln(x+1)-1/8/x^8+ln(x)","A"
1481,1,77,71,0.006000," ","int(x^8/(-x^8+1),x)","-x +\frac{\arctan \left(x \right)}{4}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{8}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{8}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}+\sqrt{2}\, x +1}{x^{2}-\sqrt{2}\, x +1}\right)}{16}-\frac{\ln \left(x -1\right)}{8}+\frac{\ln \left(x +1\right)}{8}"," ",0,"-x-1/8*ln(x-1)+1/8*ln(x+1)+1/4*arctan(x)+1/8*arctan(1+2^(1/2)*x)*2^(1/2)+1/8*arctan(-1+2^(1/2)*x)*2^(1/2)+1/16*2^(1/2)*ln((1+x^2+2^(1/2)*x)/(1+x^2-2^(1/2)*x))","A"
1482,1,74,68,0.007000," ","int(x^6/(-x^8+1),x)","-\frac{\arctan \left(x \right)}{4}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{8}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{8}-\frac{\sqrt{2}\, \ln \left(\frac{x^{2}-\sqrt{2}\, x +1}{x^{2}+\sqrt{2}\, x +1}\right)}{16}-\frac{\ln \left(x -1\right)}{8}+\frac{\ln \left(x +1\right)}{8}"," ",0,"-1/8*ln(x-1)+1/8*ln(x+1)-1/4*arctan(x)-1/8*2^(1/2)*arctan(2^(1/2)*x+1)-1/8*2^(1/2)*arctan(2^(1/2)*x-1)-1/16*2^(1/2)*ln((x^2-2^(1/2)*x+1)/(x^2+2^(1/2)*x+1))","A"
1483,1,74,68,0.005000," ","int(x^4/(-x^8+1),x)","\frac{\arctan \left(x \right)}{4}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{8}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{8}-\frac{\sqrt{2}\, \ln \left(\frac{x^{2}+\sqrt{2}\, x +1}{x^{2}-\sqrt{2}\, x +1}\right)}{16}-\frac{\ln \left(x -1\right)}{8}+\frac{\ln \left(x +1\right)}{8}"," ",0,"-1/8*ln(x-1)+1/8*ln(x+1)+1/4*arctan(x)-1/8*2^(1/2)*arctan(2^(1/2)*x-1)-1/16*2^(1/2)*ln((x^2+2^(1/2)*x+1)/(x^2-2^(1/2)*x+1))-1/8*2^(1/2)*arctan(2^(1/2)*x+1)","A"
1484,1,74,68,0.007000," ","int(x^2/(-x^8+1),x)","-\frac{\arctan \left(x \right)}{4}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{8}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{8}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}-\sqrt{2}\, x +1}{x^{2}+\sqrt{2}\, x +1}\right)}{16}-\frac{\ln \left(x -1\right)}{8}+\frac{\ln \left(x +1\right)}{8}"," ",0,"-1/8*ln(x-1)+1/8*ln(x+1)-1/4*arctan(x)+1/8*2^(1/2)*arctan(2^(1/2)*x-1)+1/16*2^(1/2)*ln((x^2-2^(1/2)*x+1)/(x^2+2^(1/2)*x+1))+1/8*2^(1/2)*arctan(2^(1/2)*x+1)","A"
1485,1,66,68,0.002000," ","int(1/(-x^8+1),x)","\frac{\arctanh \left(x \right)}{4}+\frac{\arctan \left(x \right)}{4}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{8}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{8}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}+\sqrt{2}\, x +1}{x^{2}-\sqrt{2}\, x +1}\right)}{16}"," ",0,"1/4*arctanh(x)+1/4*arctan(x)+1/8*2^(1/2)*arctan(2^(1/2)*x-1)+1/16*2^(1/2)*ln((x^2+2^(1/2)*x+1)/(x^2-2^(1/2)*x+1))+1/8*2^(1/2)*arctan(2^(1/2)*x+1)","A"
1486,1,79,73,0.010000," ","int(1/x^2/(-x^8+1),x)","-\frac{\arctan \left(x \right)}{4}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{8}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{8}-\frac{\sqrt{2}\, \ln \left(\frac{x^{2}-\sqrt{2}\, x +1}{x^{2}+\sqrt{2}\, x +1}\right)}{16}-\frac{\ln \left(x -1\right)}{8}+\frac{\ln \left(x +1\right)}{8}-\frac{1}{x}"," ",0,"-1/8*ln(x-1)-1/4*arctan(x)-1/8*2^(1/2)*arctan(2^(1/2)*x+1)-1/8*2^(1/2)*arctan(2^(1/2)*x-1)-1/16*2^(1/2)*ln((x^2-2^(1/2)*x+1)/(x^2+2^(1/2)*x+1))-1/x+1/8*ln(x+1)","A"
1487,1,79,73,0.012000," ","int(1/x^4/(-x^8+1),x)","\frac{\arctan \left(x \right)}{4}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{8}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{8}-\frac{\sqrt{2}\, \ln \left(\frac{x^{2}+\sqrt{2}\, x +1}{x^{2}-\sqrt{2}\, x +1}\right)}{16}-\frac{\ln \left(x -1\right)}{8}+\frac{\ln \left(x +1\right)}{8}-\frac{1}{3 x^{3}}"," ",0,"-1/8*ln(x-1)-1/3/x^3+1/4*arctan(x)-1/16*2^(1/2)*ln((x^2+2^(1/2)*x+1)/(x^2-2^(1/2)*x+1))-1/8*2^(1/2)*arctan(2^(1/2)*x+1)-1/8*2^(1/2)*arctan(2^(1/2)*x-1)+1/8*ln(x+1)","A"
1488,1,79,73,0.011000," ","int(1/x^6/(-x^8+1),x)","-\frac{\arctan \left(x \right)}{4}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{8}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{8}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}-\sqrt{2}\, x +1}{x^{2}+\sqrt{2}\, x +1}\right)}{16}-\frac{\ln \left(x -1\right)}{8}+\frac{\ln \left(x +1\right)}{8}-\frac{1}{5 x^{5}}"," ",0,"-1/5/x^5-1/8*ln(x-1)-1/4*arctan(x)+1/8*2^(1/2)*arctan(2^(1/2)*x+1)+1/8*2^(1/2)*arctan(2^(1/2)*x-1)+1/16*2^(1/2)*ln((x^2-2^(1/2)*x+1)/(x^2+2^(1/2)*x+1))+1/8*ln(x+1)","A"
1489,1,79,73,0.010000," ","int(1/x^8/(-x^8+1),x)","\frac{\arctan \left(x \right)}{4}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{8}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{8}+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}+\sqrt{2}\, x +1}{x^{2}-\sqrt{2}\, x +1}\right)}{16}-\frac{\ln \left(x -1\right)}{8}+\frac{\ln \left(x +1\right)}{8}-\frac{1}{7 x^{7}}"," ",0,"-1/8*ln(x-1)+1/4*arctan(x)+1/8*2^(1/2)*arctan(2^(1/2)*x+1)+1/8*2^(1/2)*arctan(2^(1/2)*x-1)+1/16*2^(1/2)*ln((x^2+2^(1/2)*x+1)/(x^2-2^(1/2)*x+1))-1/7/x^7+1/8*ln(x+1)","A"
1490,1,71,73,0.002000," ","int(x^9/(x^8+1),x)","\frac{x^{2}}{2}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x^{2}-1\right)}{8}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x^{2}+1\right)}{8}-\frac{\sqrt{2}\, \ln \left(\frac{x^{4}+\sqrt{2}\, x^{2}+1}{x^{4}-\sqrt{2}\, x^{2}+1}\right)}{16}"," ",0,"1/2*x^2-1/8*arctan(1+x^2*2^(1/2))*2^(1/2)-1/8*arctan(-1+x^2*2^(1/2))*2^(1/2)-1/16*2^(1/2)*ln((1+x^4+x^2*2^(1/2))/(1+x^4-x^2*2^(1/2)))","A"
1491,1,9,8,0.001000," ","int(x^7/(x^8+1),x)","\frac{\ln \left(x^{8}+1\right)}{8}"," ",0,"1/8*ln(x^8+1)","A"
1492,1,66,68,0.002000," ","int(x^5/(x^8+1),x)","\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x^{2}-1\right)}{8}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x^{2}+1\right)}{8}+\frac{\sqrt{2}\, \ln \left(\frac{x^{4}-\sqrt{2}\, x^{2}+1}{x^{4}+\sqrt{2}\, x^{2}+1}\right)}{16}"," ",0,"1/8*2^(1/2)*arctan(2^(1/2)*x^2+1)+1/8*2^(1/2)*arctan(2^(1/2)*x^2-1)+1/16*2^(1/2)*ln((x^4-2^(1/2)*x^2+1)/(x^4+2^(1/2)*x^2+1))","A"
1493,1,7,6,0.001000," ","int(x^3/(x^8+1),x)","\frac{\arctan \left(x^{4}\right)}{4}"," ",0,"1/4*arctan(x^4)","A"
1494,1,66,68,0.002000," ","int(x/(x^8+1),x)","\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x^{2}-1\right)}{8}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x^{2}+1\right)}{8}+\frac{\sqrt{2}\, \ln \left(\frac{x^{4}+\sqrt{2}\, x^{2}+1}{x^{4}-\sqrt{2}\, x^{2}+1}\right)}{16}"," ",0,"1/16*2^(1/2)*ln((x^4+2^(1/2)*x^2+1)/(x^4-2^(1/2)*x^2+1))+1/8*2^(1/2)*arctan(2^(1/2)*x^2+1)+1/8*2^(1/2)*arctan(2^(1/2)*x^2-1)","A"
1495,1,12,11,0.005000," ","int(1/x/(x^8+1),x)","\ln \left(x \right)-\frac{\ln \left(x^{8}+1\right)}{8}"," ",0,"ln(x)-1/8*ln(x^8+1)","A"
1496,1,71,73,0.004000," ","int(1/x^3/(x^8+1),x)","-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x^{2}-1\right)}{8}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x^{2}+1\right)}{8}-\frac{\sqrt{2}\, \ln \left(\frac{x^{4}-\sqrt{2}\, x^{2}+1}{x^{4}+\sqrt{2}\, x^{2}+1}\right)}{16}-\frac{1}{2 x^{2}}"," ",0,"-1/8*2^(1/2)*arctan(2^(1/2)*x^2-1)-1/16*2^(1/2)*ln((x^4-2^(1/2)*x^2+1)/(x^4+2^(1/2)*x^2+1))-1/8*2^(1/2)*arctan(2^(1/2)*x^2+1)-1/2/x^2","A"
1497,1,13,12,0.005000," ","int(1/x^5/(x^8+1),x)","-\frac{\arctan \left(x^{4}\right)}{4}-\frac{1}{4 x^{4}}"," ",0,"-1/4/x^4-1/4*arctan(x^4)","A"
1498,1,71,73,0.003000," ","int(1/x^7/(x^8+1),x)","-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x^{2}-1\right)}{8}-\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x^{2}+1\right)}{8}-\frac{\sqrt{2}\, \ln \left(\frac{x^{4}+\sqrt{2}\, x^{2}+1}{x^{4}-\sqrt{2}\, x^{2}+1}\right)}{16}-\frac{1}{6 x^{6}}"," ",0,"-1/16*2^(1/2)*ln((x^4+2^(1/2)*x^2+1)/(x^4-2^(1/2)*x^2+1))-1/8*2^(1/2)*arctan(2^(1/2)*x^2+1)-1/8*2^(1/2)*arctan(2^(1/2)*x^2-1)-1/6/x^6","A"
1499,1,19,18,0.006000," ","int(1/x^9/(x^8+1),x)","-\ln \left(x \right)+\frac{\ln \left(x^{8}+1\right)}{8}-\frac{1}{8 x^{8}}"," ",0,"-1/8/x^8-ln(x)+1/8*ln(x^8+1)","A"
1500,1,24,240,0.006000," ","int(x^8/(x^8+1),x)","x -\frac{\ln \left(-\RootOf \left(\textit{\_Z}^{8}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+1\right)^{7}}"," ",0,"x-1/8*sum(1/_R^7*ln(-_R+x),_R=RootOf(_Z^8+1))","C"
1501,1,22,239,0.006000," ","int(x^6/(x^8+1),x)","\frac{\ln \left(-\RootOf \left(\textit{\_Z}^{8}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+1\right)}"," ",0,"1/8*sum(1/_R*ln(-_R+x),_R=RootOf(_Z^8+1))","C"
1502,1,22,243,0.005000," ","int(x^4/(x^8+1),x)","\frac{\ln \left(-\RootOf \left(\textit{\_Z}^{8}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+1\right)^{3}}"," ",0,"1/8*sum(1/_R^3*ln(-_R+x),_R=RootOf(_Z^8+1))","C"
1503,1,22,239,0.007000," ","int(x^2/(x^8+1),x)","\frac{\ln \left(-\RootOf \left(\textit{\_Z}^{8}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+1\right)^{5}}"," ",0,"1/8*sum(1/_R^5*ln(-_R+x),_R=RootOf(_Z^8+1))","C"
1504,1,22,239,0.003000," ","int(1/(x^8+1),x)","\frac{\ln \left(-\RootOf \left(\textit{\_Z}^{8}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+1\right)^{7}}"," ",0,"1/8*sum(1/_R^7*ln(-_R+x),_R=RootOf(_Z^8+1))","C"
1505,1,28,244,0.007000," ","int(1/x^2/(x^8+1),x)","-\frac{\ln \left(-\RootOf \left(\textit{\_Z}^{8}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+1\right)}-\frac{1}{x}"," ",0,"-1/8*sum(1/_R*ln(-_R+x),_R=RootOf(_Z^8+1))-1/x","C"
1506,1,28,248,0.007000," ","int(1/x^4/(x^8+1),x)","-\frac{\ln \left(-\RootOf \left(\textit{\_Z}^{8}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+1\right)^{3}}-\frac{1}{3 x^{3}}"," ",0,"-1/3/x^3-1/8*sum(1/_R^3*ln(-_R+x),_R=RootOf(_Z^8+1))","C"
1507,1,28,244,0.007000," ","int(1/x^6/(x^8+1),x)","-\frac{\ln \left(-\RootOf \left(\textit{\_Z}^{8}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+1\right)^{5}}-\frac{1}{5 x^{5}}"," ",0,"-1/5/x^5-1/8*sum(1/_R^5*ln(-_R+x),_R=RootOf(_Z^8+1))","C"
1508,1,28,244,0.006000," ","int(1/x^8/(x^8+1),x)","-\frac{\ln \left(-\RootOf \left(\textit{\_Z}^{8}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+1\right)^{7}}-\frac{1}{7 x^{7}}"," ",0,"-1/8*sum(1/_R^7*ln(-_R+x),_R=RootOf(_Z^8+1))-1/7/x^7","C"
1509,1,20,19,0.146000," ","int(x^3*(x^8+1)^(1/2),x)","\frac{\sqrt{x^{8}+1}\, x^{4}}{8}+\frac{\arcsinh \left(x^{4}\right)}{8}"," ",0,"1/8*arcsinh(x^4)+1/8*x^4*(x^8+1)^(1/2)","A"
1510,1,30,75,0.154000," ","int(x*(x^8+1)^(1/2),x)","\frac{x^{2} \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{5}{4}\right], -x^{8}\right)}{3}+\frac{\sqrt{x^{8}+1}\, x^{2}}{6}"," ",0,"1/6*x^2*(x^8+1)^(1/2)+1/3*x^2*hypergeom([1/4,1/2],[5/4],-x^8)","C"
1511,1,56,20,0.169000," ","int((x^8+1)^(1/2)/x,x)","-\frac{4 \sqrt{\pi}\, \ln \left(\frac{1}{2}+\frac{\sqrt{x^{8}+1}}{2}\right)+4 \sqrt{\pi}-4 \sqrt{\pi}\, \sqrt{x^{8}+1}-2 \left(8 \ln \left(x \right)+2-2 \ln \left(2\right)\right) \sqrt{\pi}}{16 \sqrt{\pi}}"," ",0,"-1/16/Pi^(1/2)*(4*Pi^(1/2)-4*Pi^(1/2)*(x^8+1)^(1/2)+4*Pi^(1/2)*ln(1/2+1/2*(x^8+1)^(1/2))-2*(2-2*ln(2)+8*ln(x))*Pi^(1/2))","B"
1512,1,30,155,0.144000," ","int((x^8+1)^(1/2)/x^3,x)","\frac{x^{6} \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{7}{4}\right], -x^{8}\right)}{3}-\frac{\sqrt{x^{8}+1}}{2 x^{2}}"," ",0,"-1/2*(x^8+1)^(1/2)/x^2+1/3*x^6*hypergeom([1/2,3/4],[7/4],-x^8)","C"
1513,1,47,27,0.161000," ","int(x^3*(x^8-2)^(1/2),x)","\frac{\sqrt{x^{8}-2}\, x^{4}}{8}-\frac{\sqrt{-\mathrm{signum}\left(\frac{x^{8}}{2}-1\right)}\, \arcsin \left(\frac{\sqrt{2}\, x^{4}}{2}\right)}{4 \sqrt{\mathrm{signum}\left(\frac{x^{8}}{2}-1\right)}}"," ",0,"1/8*x^4*(x^8-2)^(1/2)-1/4/signum(-1+1/2*x^8)^(1/2)*(-signum(-1+1/2*x^8))^(1/2)*arcsin(1/2*x^4*2^(1/2))","C"
1514,1,27,31,0.144000," ","int(x^19/(x^8+1)^(1/2),x)","\frac{\left(2 x^{8}-3\right) \sqrt{x^{8}+1}\, x^{4}}{32}+\frac{3 \arcsinh \left(x^{4}\right)}{32}"," ",0,"1/32*x^4*(2*x^8-3)*(x^8+1)^(1/2)+3/32*arcsinh(x^4)","A"
1515,1,15,19,0.004000," ","int(x^15/(x^8+1)^(1/2),x)","\frac{\sqrt{x^{8}+1}\, \left(x^{8}-2\right)}{12}"," ",0,"1/12*(x^8+1)^(1/2)*(x^8-2)","A"
1516,1,20,19,0.142000," ","int(x^11/(x^8+1)^(1/2),x)","\frac{\sqrt{x^{8}+1}\, x^{4}}{8}-\frac{\arcsinh \left(x^{4}\right)}{8}"," ",0,"-1/8*arcsinh(x^4)+1/8*(x^8+1)^(1/2)*x^4","A"
1517,1,10,9,0.005000," ","int(x^7/(x^8+1)^(1/2),x)","\frac{\sqrt{x^{8}+1}}{4}"," ",0,"1/4*(x^8+1)^(1/2)","A"
1518,1,7,6,0.138000," ","int(x^3/(x^8+1)^(1/2),x)","\frac{\arcsinh \left(x^{4}\right)}{4}"," ",0,"1/4*arcsinh(x^4)","A"
1519,1,19,10,0.006000," ","int(1/x/(x^8+1)^(1/2),x)","\frac{\ln \left(\frac{\sqrt{x^{8}+1}-1}{\sqrt{x^{8}}}\right)}{4}"," ",0,"1/4*ln(((x^8+1)^(1/2)-1)/(x^8)^(1/2))","A"
1520,1,13,12,0.005000," ","int(1/x^5/(x^8+1)^(1/2),x)","-\frac{\sqrt{x^{8}+1}}{4 x^{4}}"," ",0,"-1/4*(x^8+1)^(1/2)/x^4","A"
1521,1,32,23,0.025000," ","int(1/x^9/(x^8+1)^(1/2),x)","-\frac{\ln \left(\frac{\sqrt{x^{8}+1}-1}{\sqrt{x^{8}}}\right)}{8}-\frac{\sqrt{x^{8}+1}}{8 x^{8}}"," ",0,"-1/8*(x^8+1)^(1/2)/x^8-1/8*ln(((x^8+1)^(1/2)-1)/(x^8)^(1/2))","A"
1522,1,20,25,0.005000," ","int(1/x^13/(x^8+1)^(1/2),x)","\frac{\sqrt{x^{8}+1}\, \left(2 x^{8}-1\right)}{12 x^{12}}"," ",0,"1/12*(x^8+1)^(1/2)*(2*x^8-1)/x^12","A"
1523,1,42,35,0.026000," ","int(1/x^17/(x^8+1)^(1/2),x)","\frac{3 \ln \left(\frac{\sqrt{x^{8}+1}-1}{\sqrt{x^{8}}}\right)}{32}+\frac{3 x^{16}+x^{8}-2}{32 \sqrt{x^{8}+1}\, x^{16}}"," ",0,"1/32*(3*x^16+x^8-2)/x^16/(x^8+1)^(1/2)+3/32*ln(((x^8+1)^(1/2)-1)/(x^8)^(1/2))","A"
1524,1,30,156,0.146000," ","int(x^13/(x^8+1)^(1/2),x)","-\frac{x^{6} \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{7}{4}\right], -x^{8}\right)}{10}+\frac{\sqrt{x^{8}+1}\, x^{6}}{10}"," ",0,"1/10*x^6*(x^8+1)^(1/2)-1/10*x^6*hypergeom([1/2,3/4],[7/4],-x^8)","C"
1525,1,30,75,0.144000," ","int(x^9/(x^8+1)^(1/2),x)","-\frac{x^{2} \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{5}{4}\right], -x^{8}\right)}{6}+\frac{\sqrt{x^{8}+1}\, x^{2}}{6}"," ",0,"1/6*(x^8+1)^(1/2)*x^2-1/6*x^2*hypergeom([1/4,1/2],[5/4],-x^8)","C"
1526,1,17,144,0.146000," ","int(x^5/(x^8+1)^(1/2),x)","\frac{x^{6} \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{7}{4}\right], -x^{8}\right)}{6}"," ",0,"1/6*x^6*hypergeom([1/2,3/4],[7/4],-x^8)","C"
1527,1,17,62,0.142000," ","int(x/(x^8+1)^(1/2),x)","\frac{x^{2} \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{5}{4}\right], -x^{8}\right)}{2}"," ",0,"1/2*x^2*hypergeom([1/4,1/2],[5/4],-x^8)","C"
1528,1,30,156,0.016000," ","int(1/x^3/(x^8+1)^(1/2),x)","\frac{x^{6} \hypergeom \left(\left[\frac{1}{2}, \frac{3}{4}\right], \left[\frac{7}{4}\right], -x^{8}\right)}{6}-\frac{\sqrt{x^{8}+1}}{2 x^{2}}"," ",0,"-1/2*(x^8+1)^(1/2)/x^2+1/6*x^6*hypergeom([1/2,3/4],[7/4],-x^8)","C"
1529,1,30,75,0.019000," ","int(1/x^7/(x^8+1)^(1/2),x)","-\frac{x^{2} \hypergeom \left(\left[\frac{1}{4}, \frac{1}{2}\right], \left[\frac{5}{4}\right], -x^{8}\right)}{6}-\frac{\sqrt{x^{8}+1}}{6 x^{6}}"," ",0,"-1/6*(x^8+1)^(1/2)/x^6-1/6*x^2*hypergeom([1/4,1/2],[5/4],-x^8)","C"
1530,1,30,193,0.151000," ","int(x^10/(x^8+1)^(1/2),x)","-\frac{x^{3} \hypergeom \left(\left[\frac{3}{8}, \frac{1}{2}\right], \left[\frac{11}{8}\right], -x^{8}\right)}{7}+\frac{\sqrt{x^{8}+1}\, x^{3}}{7}"," ",0,"1/7*x^3*(x^8+1)^(1/2)-1/7*x^3*hypergeom([3/8,1/2],[11/8],-x^8)","C"
1531,1,26,191,0.146000," ","int(x^8/(x^8+1)^(1/2),x)","-\frac{x \hypergeom \left(\left[\frac{1}{8}, \frac{1}{2}\right], \left[\frac{9}{8}\right], -x^{8}\right)}{5}+\frac{\sqrt{x^{8}+1}\, x}{5}"," ",0,"1/5*x*(x^8+1)^(1/2)-1/5*x*hypergeom([1/8,1/2],[9/8],-x^8)","C"
1532,1,17,16,0.147000," ","int(x^6/(x^8+1)^(1/2),x)","\frac{x^{7} \hypergeom \left(\left[\frac{1}{2}, \frac{7}{8}\right], \left[\frac{15}{8}\right], -x^{8}\right)}{7}"," ",0,"1/7*x^7*hypergeom([1/2,7/8],[15/8],-x^8)","A"
1533,1,17,16,0.150000," ","int(x^4/(x^8+1)^(1/2),x)","\frac{x^{5} \hypergeom \left(\left[\frac{1}{2}, \frac{5}{8}\right], \left[\frac{13}{8}\right], -x^{8}\right)}{5}"," ",0,"1/5*x^5*hypergeom([1/2,5/8],[13/8],-x^8)","A"
1534,1,17,181,0.142000," ","int(x^2/(x^8+1)^(1/2),x)","\frac{x^{3} \hypergeom \left(\left[\frac{3}{8}, \frac{1}{2}\right], \left[\frac{11}{8}\right], -x^{8}\right)}{3}"," ",0,"1/3*x^3*hypergeom([3/8,1/2],[11/8],-x^8)","C"
1535,1,14,181,0.146000," ","int(1/(x^8+1)^(1/2),x)","x \hypergeom \left(\left[\frac{1}{8}, \frac{1}{2}\right], \left[\frac{9}{8}\right], -x^{8}\right)"," ",0,"x*hypergeom([1/8,1/2],[9/8],-x^8)","C"
1536,1,30,29,0.145000," ","int(1/x^2/(x^8+1)^(1/2),x)","\frac{3 x^{7} \hypergeom \left(\left[\frac{1}{2}, \frac{7}{8}\right], \left[\frac{15}{8}\right], -x^{8}\right)}{7}-\frac{\sqrt{x^{8}+1}}{x}"," ",0,"3/7*x^7*hypergeom([1/2,7/8],[15/8],-x^8)-(x^8+1)^(1/2)/x","A"
1537,1,30,29,0.148000," ","int(1/x^4/(x^8+1)^(1/2),x)","\frac{x^{5} \hypergeom \left(\left[\frac{1}{2}, \frac{5}{8}\right], \left[\frac{13}{8}\right], -x^{8}\right)}{15}-\frac{\sqrt{x^{8}+1}}{3 x^{3}}"," ",0,"1/15*x^5*hypergeom([1/2,5/8],[13/8],-x^8)-1/3*(x^8+1)^(1/2)/x^3","A"
1538,1,30,193,0.144000," ","int(1/x^6/(x^8+1)^(1/2),x)","-\frac{x^{3} \hypergeom \left(\left[\frac{3}{8}, \frac{1}{2}\right], \left[\frac{11}{8}\right], -x^{8}\right)}{15}-\frac{\sqrt{x^{8}+1}}{5 x^{5}}"," ",0,"-1/5*(x^8+1)^(1/2)/x^5-1/15*x^3*hypergeom([3/8,1/2],[11/8],-x^8)","C"
1539,1,28,193,0.143000," ","int(1/x^8/(x^8+1)^(1/2),x)","-\frac{3 x \hypergeom \left(\left[\frac{1}{8}, \frac{1}{2}\right], \left[\frac{9}{8}\right], -x^{8}\right)}{7}-\frac{\sqrt{x^{8}+1}}{7 x^{7}}"," ",0,"-1/7*(x^8+1)^(1/2)/x^7-3/7*x*hypergeom([1/8,1/2],[9/8],-x^8)","C"
1540,1,426,121,0.037000," ","int(1/(-x^10+1),x)","\frac{\arctan \left(\frac{4 x +1-\sqrt{5}}{\sqrt{10+2 \sqrt{5}}}\right)}{2 \sqrt{10+2 \sqrt{5}}}+\frac{\sqrt{5}\, \arctan \left(\frac{4 x +1-\sqrt{5}}{\sqrt{10+2 \sqrt{5}}}\right)}{10 \sqrt{10+2 \sqrt{5}}}+\frac{\arctan \left(\frac{4 x +1+\sqrt{5}}{\sqrt{10-2 \sqrt{5}}}\right)}{2 \sqrt{10-2 \sqrt{5}}}-\frac{\sqrt{5}\, \arctan \left(\frac{4 x +1+\sqrt{5}}{\sqrt{10-2 \sqrt{5}}}\right)}{10 \sqrt{10-2 \sqrt{5}}}+\frac{\arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{2 \sqrt{10-2 \sqrt{5}}}-\frac{\sqrt{5}\, \arctan \left(\frac{4 x -\sqrt{5}-1}{\sqrt{10-2 \sqrt{5}}}\right)}{10 \sqrt{10-2 \sqrt{5}}}+\frac{\arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{2 \sqrt{10+2 \sqrt{5}}}+\frac{\sqrt{5}\, \arctan \left(\frac{4 x +\sqrt{5}-1}{\sqrt{10+2 \sqrt{5}}}\right)}{10 \sqrt{10+2 \sqrt{5}}}-\frac{\ln \left(x -1\right)}{10}+\frac{\ln \left(x +1\right)}{10}-\frac{\sqrt{5}\, \ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{40}-\frac{\ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{40}-\frac{\sqrt{5}\, \ln \left(2 x^{2}-\sqrt{5}\, x +x +2\right)}{40}+\frac{\ln \left(2 x^{2}-\sqrt{5}\, x +x +2\right)}{40}+\frac{\sqrt{5}\, \ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{40}-\frac{\ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{40}+\frac{\sqrt{5}\, \ln \left(2 x^{2}+\sqrt{5}\, x +x +2\right)}{40}+\frac{\ln \left(2 x^{2}+\sqrt{5}\, x +x +2\right)}{40}"," ",0,"-1/40*ln(-5^(1/2)*x+2*x^2+x+2)*5^(1/2)+1/40*ln(-5^(1/2)*x+2*x^2+x+2)+1/2/(10+2*5^(1/2))^(1/2)*arctan((1+4*x-5^(1/2))/(10+2*5^(1/2))^(1/2))+1/10/(10+2*5^(1/2))^(1/2)*arctan((1+4*x-5^(1/2))/(10+2*5^(1/2))^(1/2))*5^(1/2)+1/40*ln(5^(1/2)*x+2*x^2+x+2)*5^(1/2)+1/40*ln(5^(1/2)*x+2*x^2+x+2)+1/2/(10-2*5^(1/2))^(1/2)*arctan((1+4*x+5^(1/2))/(10-2*5^(1/2))^(1/2))-1/10/(10-2*5^(1/2))^(1/2)*arctan((1+4*x+5^(1/2))/(10-2*5^(1/2))^(1/2))*5^(1/2)-1/10*ln(x-1)+1/40*5^(1/2)*ln(2*x^2+5^(1/2)*x-x+2)-1/40*ln(2*x^2+5^(1/2)*x-x+2)+1/2/(10+2*5^(1/2))^(1/2)*arctan((4*x+5^(1/2)-1)/(10+2*5^(1/2))^(1/2))+1/10/(10+2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x+5^(1/2)-1)/(10+2*5^(1/2))^(1/2))-1/40*5^(1/2)*ln(2*x^2-5^(1/2)*x-x+2)-1/40*ln(2*x^2-5^(1/2)*x-x+2)+1/2/(10-2*5^(1/2))^(1/2)*arctan((4*x-5^(1/2)-1)/(10-2*5^(1/2))^(1/2))-1/10/(10-2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x-5^(1/2)-1)/(10-2*5^(1/2))^(1/2))+1/10*ln(x+1)","B"
1541,1,7,6,0.152000," ","int(x^4/(-x^10+1)^(1/2),x)","\frac{\arcsin \left(x^{5}\right)}{5}"," ",0,"1/5*arcsin(x^5)","A"
1542,1,34,14,0.168000," ","int(x^4/(x^10-2)^(1/2),x)","\frac{\sqrt{-\mathrm{signum}\left(\frac{x^{10}}{2}-1\right)}\, \arcsin \left(\frac{\sqrt{2}\, x^{5}}{2}\right)}{5 \sqrt{\mathrm{signum}\left(\frac{x^{10}}{2}-1\right)}}"," ",0,"1/5/signum(-1+1/2*x^10)^(1/2)*(-signum(-1+1/2*x^10))^(1/2)*arcsin(1/2*x^5*2^(1/2))","C"
1543,1,9,8,0.003000," ","int(x^5/(x^12+9),x)","\frac{\arctan \left(\frac{x^{6}}{3}\right)}{18}"," ",0,"1/18*arctan(1/3*x^6)","A"
1544,1,18,8,0.006000," ","int(x^5/(-x^12+9),x)","-\frac{\ln \left(x^{6}-3\right)}{36}+\frac{\ln \left(x^{6}+3\right)}{36}"," ",0,"-1/36*ln(x^6-3)+1/36*ln(x^6+3)","B"
1545,1,22,21,0.152000," ","int(x^5*(x^12+9)^(1/2),x)","\frac{\sqrt{x^{12}+9}\, x^{6}}{12}+\frac{3 \arcsinh \left(\frac{x^{6}}{3}\right)}{4}"," ",0,"3/4*arcsinh(1/3*x^6)+1/12*x^6*(x^12+9)^(1/2)","A"
1546,1,14,13,0.002000," ","int((a+b/x)*x^6,x)","\frac{1}{7} a \,x^{7}+\frac{1}{6} b \,x^{6}"," ",0,"1/6*b*x^6+1/7*a*x^7","A"
1547,1,14,13,0.001000," ","int((a+b/x)*x^5,x)","\frac{1}{6} a \,x^{6}+\frac{1}{5} b \,x^{5}"," ",0,"1/5*b*x^5+1/6*a*x^6","A"
1548,1,14,13,0.000000," ","int((a+b/x)*x^4,x)","\frac{1}{5} a \,x^{5}+\frac{1}{4} b \,x^{4}"," ",0,"1/4*b*x^4+1/5*a*x^5","A"
1549,1,14,13,0.001000," ","int((a+b/x)*x^3,x)","\frac{1}{4} a \,x^{4}+\frac{1}{3} b \,x^{3}"," ",0,"1/3*b*x^3+1/4*a*x^4","A"
1550,1,14,13,0.001000," ","int((a+b/x)*x^2,x)","\frac{1}{3} a \,x^{3}+\frac{1}{2} b \,x^{2}"," ",0,"1/2*b*x^2+1/3*a*x^3","A"
1551,1,11,10,0.001000," ","int((a+b/x)*x,x)","\frac{1}{2} a \,x^{2}+b x"," ",0,"b*x+1/2*a*x^2","A"
1552,1,9,8,0.002000," ","int(a+b/x,x)","a x +b \ln \left(x \right)"," ",0,"a*x+b*ln(x)","A"
1553,1,12,11,0.007000," ","int((a+b/x)/x,x)","a \ln \left(x \right)-\frac{b}{x}"," ",0,"-b/x+a*ln(x)","A"
1554,1,14,13,0.004000," ","int((a+b/x)/x^2,x)","-\frac{a}{x}-\frac{b}{2 x^{2}}"," ",0,"-1/2*b/x^2-a/x","A"
1555,1,14,13,0.005000," ","int((a+b/x)/x^3,x)","-\frac{a}{2 x^{2}}-\frac{b}{3 x^{3}}"," ",0,"-1/3*b/x^3-1/2*a/x^2","A"
1556,1,14,13,0.005000," ","int((a+b/x)/x^4,x)","-\frac{a}{3 x^{3}}-\frac{b}{4 x^{4}}"," ",0,"-1/4*b/x^4-1/3*a/x^3","A"
1557,1,14,13,0.003000," ","int((a+b/x)/x^5,x)","-\frac{a}{4 x^{4}}-\frac{b}{5 x^{5}}"," ",0,"-1/5*b/x^5-1/4*a/x^4","A"
1558,1,14,13,0.005000," ","int((a+b/x)/x^6,x)","-\frac{a}{5 x^{5}}-\frac{b}{6 x^{6}}"," ",0,"-1/6*b/x^6-1/5*a/x^5","A"
1559,1,25,24,0.001000," ","int((a+b/x)^2*x^5,x)","\frac{1}{6} a^{2} x^{6}+\frac{2}{5} a b \,x^{5}+\frac{1}{4} b^{2} x^{4}"," ",0,"1/4*b^2*x^4+2/5*a*b*x^5+1/6*a^2*x^6","A"
1560,1,25,24,0.001000," ","int((a+b/x)^2*x^4,x)","\frac{1}{5} a^{2} x^{5}+\frac{1}{2} a b \,x^{4}+\frac{1}{3} b^{2} x^{3}"," ",0,"1/3*b^2*x^3+1/2*a*b*x^4+1/5*a^2*x^5","A"
1561,1,25,24,0.000000," ","int((a+b/x)^2*x^3,x)","\frac{1}{4} a^{2} x^{4}+\frac{2}{3} a b \,x^{3}+\frac{1}{2} b^{2} x^{2}"," ",0,"1/2*b^2*x^2+2/3*a*b*x^3+1/4*a^2*x^4","A"
1562,1,13,12,0.001000," ","int((a+b/x)^2*x^2,x)","\frac{\left(a x +b \right)^{3}}{3 a}"," ",0,"1/3*(a*x+b)^3/a","A"
1563,1,21,20,0.003000," ","int((a+b/x)^2*x,x)","\frac{a^{2} x^{2}}{2}+2 a b x +b^{2} \ln \left(x \right)"," ",0,"2*a*b*x+1/2*a^2*x^2+b^2*ln(x)","A"
1564,1,21,20,0.004000," ","int((a+b/x)^2,x)","a^{2} x +2 a b \ln \left(x \right)-\frac{b^{2}}{x}"," ",0,"-b^2/x+a^2*x+2*a*b*ln(x)","A"
1565,1,23,22,0.007000," ","int((a+b/x)^2/x,x)","a^{2} \ln \left(x \right)-\frac{2 a b}{x}-\frac{b^{2}}{2 x^{2}}"," ",0,"-1/2*b^2/x^2-2*a*b/x+a^2*ln(x)","A"
1566,1,25,14,0.006000," ","int((a+b/x)^2/x^2,x)","-\frac{a^{2}}{x}-\frac{a b}{x^{2}}-\frac{b^{2}}{3 x^{3}}"," ",0,"-1/3*b^2/x^3-a*b/x^2-a^2/x","A"
1567,1,25,24,0.006000," ","int((a+b/x)^2/x^3,x)","-\frac{a^{2}}{2 x^{2}}-\frac{2 a b}{3 x^{3}}-\frac{b^{2}}{4 x^{4}}"," ",0,"-1/4*b^2/x^4-2/3*a*b/x^3-1/2*a^2/x^2","A"
1568,1,25,24,0.005000," ","int((a+b/x)^2/x^4,x)","-\frac{a^{2}}{3 x^{3}}-\frac{a b}{2 x^{4}}-\frac{b^{2}}{5 x^{5}}"," ",0,"-1/5*b^2/x^5-1/2*a*b/x^4-1/3*a^2/x^3","A"
1569,1,25,24,0.005000," ","int((a+b/x)^2/x^5,x)","-\frac{a^{2}}{4 x^{4}}-\frac{2 a b}{5 x^{5}}-\frac{b^{2}}{6 x^{6}}"," ",0,"-1/6*b^2/x^6-2/5*a*b/x^5-1/4*a^2/x^4","A"
1570,1,36,35,0.002000," ","int((a+b/x)^3*x^6,x)","\frac{1}{7} a^{3} x^{7}+\frac{1}{2} a^{2} b \,x^{6}+\frac{3}{5} a \,b^{2} x^{5}+\frac{1}{4} b^{3} x^{4}"," ",0,"1/4*b^3*x^4+3/5*a*b^2*x^5+1/2*a^2*b*x^6+1/7*a^3*x^7","A"
1571,1,36,35,0.001000," ","int((a+b/x)^3*x^5,x)","\frac{1}{6} a^{3} x^{6}+\frac{3}{5} a^{2} b \,x^{5}+\frac{3}{4} a \,b^{2} x^{4}+\frac{1}{3} b^{3} x^{3}"," ",0,"1/3*b^3*x^3+3/4*a*b^2*x^4+3/5*a^2*b*x^5+1/6*a^3*x^6","A"
1572,1,35,26,0.002000," ","int((a+b/x)^3*x^4,x)","\frac{1}{5} a^{3} x^{5}+\frac{3}{4} a^{2} b \,x^{4}+a \,b^{2} x^{3}+\frac{1}{2} b^{3} x^{2}"," ",0,"1/5*a^3*x^5+3/4*a^2*b*x^4+a*b^2*x^3+1/2*b^3*x^2","A"
1573,1,13,12,0.000000," ","int((a+b/x)^3*x^3,x)","\frac{\left(a x +b \right)^{4}}{4 a}"," ",0,"1/4*(a*x+b)^4/a","A"
1574,1,32,31,0.003000," ","int((a+b/x)^3*x^2,x)","\frac{a^{3} x^{3}}{3}+\frac{3 a^{2} b \,x^{2}}{2}+3 a \,b^{2} x +b^{3} \ln \left(x \right)"," ",0,"3*a*b^2*x+3/2*a^2*b*x^2+1/3*a^3*x^3+b^3*ln(x)","A"
1575,1,33,32,0.006000," ","int((a+b/x)^3*x,x)","\frac{a^{3} x^{2}}{2}+3 a^{2} b x +3 a \,b^{2} \ln \left(x \right)-\frac{b^{3}}{x}"," ",0,"-b^3/x+3*a^2*b*x+1/2*a^3*x^2+3*a*b^2*ln(x)","A"
1576,1,32,31,0.005000," ","int((a+b/x)^3,x)","a^{3} x +3 a^{2} b \ln \left(x \right)-\frac{3 a \,b^{2}}{x}-\frac{b^{3}}{2 x^{2}}"," ",0,"-1/2*b^3/x^2-3*a*b^2/x+a^3*x+3*a^2*b*ln(x)","A"
1577,1,34,33,0.006000," ","int((a+b/x)^3/x,x)","a^{3} \ln \left(x \right)-\frac{3 a^{2} b}{x}-\frac{3 a \,b^{2}}{2 x^{2}}-\frac{b^{3}}{3 x^{3}}"," ",0,"-1/3*b^3/x^3-3/2*a*b^2/x^2-3*a^2*b/x+a^3*ln(x)","A"
1578,1,36,14,0.005000," ","int((a+b/x)^3/x^2,x)","-\frac{a^{3}}{x}-\frac{3 a^{2} b}{2 x^{2}}-\frac{a \,b^{2}}{x^{3}}-\frac{b^{3}}{4 x^{4}}"," ",0,"-1/4*b^3/x^4-a*b^2/x^3-3/2*a^2*b/x^2-a^3/x","B"
1579,1,36,32,0.004000," ","int((a+b/x)^3/x^3,x)","-\frac{a^{3}}{2 x^{2}}-\frac{a^{2} b}{x^{3}}-\frac{3 a \,b^{2}}{4 x^{4}}-\frac{b^{3}}{5 x^{5}}"," ",0,"-1/5*b^3/x^5-3/4*a*b^2/x^4-a^2*b/x^3-1/2*a^3/x^2","A"
1580,1,36,35,0.005000," ","int((a+b/x)^3/x^4,x)","-\frac{a^{3}}{3 x^{3}}-\frac{3 a^{2} b}{4 x^{4}}-\frac{3 a \,b^{2}}{5 x^{5}}-\frac{b^{3}}{6 x^{6}}"," ",0,"-1/6*b^3/x^6-3/5*a*b^2/x^5-3/4*a^2*b/x^4-1/3*a^3/x^3","A"
1581,1,36,35,0.005000," ","int((a+b/x)^3/x^5,x)","-\frac{a^{3}}{4 x^{4}}-\frac{3 a^{2} b}{5 x^{5}}-\frac{a \,b^{2}}{2 x^{6}}-\frac{b^{3}}{7 x^{7}}"," ",0,"-1/7*b^3/x^7-1/2*a*b^2/x^6-3/5*a^2*b/x^5-1/4*a^3/x^4","A"
1582,1,36,35,0.004000," ","int((a+b/x)^3/x^6,x)","-\frac{a^{3}}{5 x^{5}}-\frac{a^{2} b}{2 x^{6}}-\frac{3 a \,b^{2}}{7 x^{7}}-\frac{b^{3}}{8 x^{8}}"," ",0,"-1/8*b^3/x^8-3/7*a*b^2/x^7-1/2*a^2*b/x^6-1/5*a^3/x^5","A"
1583,1,91,90,0.000000," ","int((a+b/x)^8*x^16,x)","\frac{1}{17} a^{8} x^{17}+\frac{1}{2} a^{7} b \,x^{16}+\frac{28}{15} a^{6} b^{2} x^{15}+4 a^{5} b^{3} x^{14}+\frac{70}{13} a^{4} b^{4} x^{13}+\frac{14}{3} a^{3} b^{5} x^{12}+\frac{28}{11} a^{2} b^{6} x^{11}+\frac{4}{5} a \,b^{7} x^{10}+\frac{1}{9} b^{8} x^{9}"," ",0,"1/9*b^8*x^9+4/5*a*b^7*x^10+28/11*a^2*b^6*x^11+14/3*a^3*b^5*x^12+70/13*a^4*b^4*x^13+4*a^5*b^3*x^14+28/15*a^6*b^2*x^15+1/2*a^7*b*x^16+1/17*a^8*x^17","A"
1584,1,91,90,0.002000," ","int((a+b/x)^8*x^15,x)","\frac{1}{16} a^{8} x^{16}+\frac{8}{15} a^{7} b \,x^{15}+2 a^{6} b^{2} x^{14}+\frac{56}{13} a^{5} b^{3} x^{13}+\frac{35}{6} a^{4} b^{4} x^{12}+\frac{56}{11} a^{3} b^{5} x^{11}+\frac{14}{5} a^{2} b^{6} x^{10}+\frac{8}{9} a \,b^{7} x^{9}+\frac{1}{8} b^{8} x^{8}"," ",0,"1/8*b^8*x^8+8/9*a*b^7*x^9+14/5*a^2*b^6*x^10+56/11*a^3*b^5*x^11+35/6*a^4*b^4*x^12+56/13*a^5*b^3*x^13+2*a^6*b^2*x^14+8/15*a^7*b*x^15+1/16*a^8*x^16","A"
1585,1,91,86,0.001000," ","int((a+b/x)^8*x^13,x)","\frac{1}{14} a^{8} x^{14}+\frac{8}{13} a^{7} b \,x^{13}+\frac{7}{3} a^{6} b^{2} x^{12}+\frac{56}{11} a^{5} b^{3} x^{11}+7 a^{4} b^{4} x^{10}+\frac{56}{9} a^{3} b^{5} x^{9}+\frac{7}{2} a^{2} b^{6} x^{8}+\frac{8}{7} a \,b^{7} x^{7}+\frac{1}{6} b^{8} x^{6}"," ",0,"1/14*a^8*x^14+8/13*a^7*b*x^13+7/3*b^2*a^6*x^12+56/11*a^5*b^3*x^11+7*a^4*b^4*x^10+56/9*a^3*b^5*x^9+7/2*b^6*a^2*x^8+8/7*a*b^7*x^7+1/6*b^8*x^6","A"
1586,1,91,71,0.002000," ","int((a+b/x)^8*x^12,x)","\frac{1}{13} a^{8} x^{13}+\frac{2}{3} a^{7} b \,x^{12}+\frac{28}{11} a^{6} b^{2} x^{11}+\frac{28}{5} a^{5} b^{3} x^{10}+\frac{70}{9} a^{4} b^{4} x^{9}+7 a^{3} b^{5} x^{8}+4 a^{2} b^{6} x^{7}+\frac{4}{3} a \,b^{7} x^{6}+\frac{1}{5} b^{8} x^{5}"," ",0,"1/13*a^8*x^13+2/3*a^7*b*x^12+28/11*a^6*b^2*x^11+28/5*a^5*b^3*x^10+70/9*a^4*b^4*x^9+7*a^3*b^5*x^8+4*b^6*a^2*x^7+4/3*a*b^7*x^6+1/5*b^8*x^5","A"
1587,1,91,56,0.000000," ","int((a+b/x)^8*x^11,x)","\frac{1}{12} a^{8} x^{12}+\frac{8}{11} a^{7} b \,x^{11}+\frac{14}{5} a^{6} b^{2} x^{10}+\frac{56}{9} a^{5} b^{3} x^{9}+\frac{35}{4} a^{4} b^{4} x^{8}+8 a^{3} b^{5} x^{7}+\frac{14}{3} a^{2} b^{6} x^{6}+\frac{8}{5} a \,b^{7} x^{5}+\frac{1}{4} b^{8} x^{4}"," ",0,"1/12*a^8*x^12+8/11*a^7*b*x^11+14/5*a^6*b^2*x^10+56/9*a^5*b^3*x^9+35/4*a^4*b^4*x^8+8*a^3*b^5*x^7+14/3*a^2*b^6*x^6+8/5*a*b^7*x^5+1/4*b^8*x^4","A"
1588,1,91,41,0.001000," ","int((a+b/x)^8*x^10,x)","\frac{1}{11} a^{8} x^{11}+\frac{4}{5} a^{7} b \,x^{10}+\frac{28}{9} a^{6} b^{2} x^{9}+7 a^{5} b^{3} x^{8}+10 a^{4} b^{4} x^{7}+\frac{28}{3} a^{3} b^{5} x^{6}+\frac{28}{5} a^{2} b^{6} x^{5}+2 a \,b^{7} x^{4}+\frac{1}{3} b^{8} x^{3}"," ",0,"1/11*a^8*x^11+4/5*a^7*b*x^10+28/9*b^2*a^6*x^9+7*a^5*b^3*x^8+10*a^4*b^4*x^7+28/3*a^3*b^5*x^6+28/5*b^6*a^2*x^5+2*a*b^7*x^4+1/3*b^8*x^3","B"
1589,1,91,26,0.003000," ","int((a+b/x)^8*x^9,x)","\frac{1}{10} a^{8} x^{10}+\frac{8}{9} a^{7} b \,x^{9}+\frac{7}{2} a^{6} b^{2} x^{8}+8 a^{5} b^{3} x^{7}+\frac{35}{3} a^{4} b^{4} x^{6}+\frac{56}{5} a^{3} b^{5} x^{5}+7 a^{2} b^{6} x^{4}+\frac{8}{3} a \,b^{7} x^{3}+\frac{1}{2} b^{8} x^{2}"," ",0,"1/10*a^8*x^10+8/9*a^7*b*x^9+7/2*a^6*b^2*x^8+8*a^5*b^3*x^7+35/3*a^4*b^4*x^6+56/5*b^5*a^3*x^5+7*b^6*a^2*x^4+8/3*a*b^7*x^3+1/2*b^8*x^2","B"
1590,1,13,12,0.000000," ","int((a+b/x)^8*x^8,x)","\frac{\left(a x +b \right)^{9}}{9 a}"," ",0,"1/9*(a*x+b)^9/a","A"
1591,1,87,86,0.003000," ","int((a+b/x)^8*x^7,x)","\frac{a^{8} x^{8}}{8}+\frac{8 a^{7} b \,x^{7}}{7}+\frac{14 a^{6} b^{2} x^{6}}{3}+\frac{56 a^{5} b^{3} x^{5}}{5}+\frac{35 a^{4} b^{4} x^{4}}{2}+\frac{56 a^{3} b^{5} x^{3}}{3}+14 a^{2} b^{6} x^{2}+8 a \,b^{7} x +b^{8} \ln \left(x \right)"," ",0,"8*a*b^7*x+14*a^2*b^6*x^2+56/3*a^3*b^5*x^3+35/2*a^4*b^4*x^4+56/5*a^5*b^3*x^5+14/3*a^6*b^2*x^6+8/7*a^7*b*x^7+1/8*a^8*x^8+b^8*ln(x)","A"
1592,1,88,87,0.005000," ","int((a+b/x)^8*x^6,x)","\frac{a^{8} x^{7}}{7}+\frac{4 a^{7} b \,x^{6}}{3}+\frac{28 a^{6} b^{2} x^{5}}{5}+14 a^{5} b^{3} x^{4}+\frac{70 a^{4} b^{4} x^{3}}{3}+28 a^{3} b^{5} x^{2}+28 a^{2} b^{6} x +8 a \,b^{7} \ln \left(x \right)-\frac{b^{8}}{x}"," ",0,"-b^8/x+28*a^2*b^6*x+28*a^3*b^5*x^2+70/3*a^4*b^4*x^3+14*a^5*b^3*x^4+28/5*a^6*b^2*x^5+4/3*a^7*b*x^6+1/7*a^8*x^7+8*a*b^7*ln(x)","A"
1593,1,88,87,0.006000," ","int((a+b/x)^8*x^5,x)","\frac{a^{8} x^{6}}{6}+\frac{8 a^{7} b \,x^{5}}{5}+7 a^{6} b^{2} x^{4}+\frac{56 a^{5} b^{3} x^{3}}{3}+35 a^{4} b^{4} x^{2}+56 a^{3} b^{5} x +28 a^{2} b^{6} \ln \left(x \right)-\frac{8 a \,b^{7}}{x}-\frac{b^{8}}{2 x^{2}}"," ",0,"-1/2*b^8/x^2-8*a*b^7/x+56*a^3*b^5*x+35*a^4*b^4*x^2+56/3*a^5*b^3*x^3+7*a^6*b^2*x^4+8/5*a^7*b*x^5+1/6*a^8*x^6+28*a^2*b^6*ln(x)","A"
1594,1,88,87,0.006000," ","int((a+b/x)^8*x^4,x)","\frac{a^{8} x^{5}}{5}+2 a^{7} b \,x^{4}+\frac{28 a^{6} b^{2} x^{3}}{3}+28 a^{5} b^{3} x^{2}+70 a^{4} b^{4} x +56 a^{3} b^{5} \ln \left(x \right)-\frac{28 a^{2} b^{6}}{x}-\frac{4 a \,b^{7}}{x^{2}}-\frac{b^{8}}{3 x^{3}}"," ",0,"-1/3*b^8/x^3-4*a*b^7/x^2-28*a^2*b^6/x+70*a^4*b^4*x+28*a^5*b^3*x^2+28/3*a^6*b^2*x^3+2*a^7*b*x^4+1/5*a^8*x^5+56*a^3*b^5*ln(x)","A"
1595,1,88,87,0.007000," ","int((a+b/x)^8*x^3,x)","\frac{a^{8} x^{4}}{4}+\frac{8 a^{7} b \,x^{3}}{3}+14 a^{6} b^{2} x^{2}+56 a^{5} b^{3} x +70 a^{4} b^{4} \ln \left(x \right)-\frac{56 a^{3} b^{5}}{x}-\frac{14 a^{2} b^{6}}{x^{2}}-\frac{8 a \,b^{7}}{3 x^{3}}-\frac{b^{8}}{4 x^{4}}"," ",0,"-1/4*b^8/x^4-8/3*a*b^7/x^3-14*a^2*b^6/x^2-56*a^3*b^5/x+56*a^5*b^3*x+14*a^6*b^2*x^2+8/3*a^7*b*x^3+1/4*a^8*x^4+70*a^4*b^4*ln(x)","A"
1596,1,88,87,0.008000," ","int((a+b/x)^8*x^2,x)","\frac{a^{8} x^{3}}{3}+4 a^{7} b \,x^{2}+28 a^{6} b^{2} x +56 a^{5} b^{3} \ln \left(x \right)-\frac{70 a^{4} b^{4}}{x}-\frac{28 a^{3} b^{5}}{x^{2}}-\frac{28 a^{2} b^{6}}{3 x^{3}}-\frac{2 a \,b^{7}}{x^{4}}-\frac{b^{8}}{5 x^{5}}"," ",0,"-1/5*b^8/x^5-2*a*b^7/x^4-28/3*a^2*b^6/x^3-28*a^3*b^5/x^2-70*a^4*b^4/x+28*a^6*b^2*x+4*a^7*b*x^2+1/3*a^8*x^3+56*a^5*b^3*ln(x)","A"
1597,1,88,87,0.010000," ","int((a+b/x)^8*x,x)","\frac{a^{8} x^{2}}{2}+8 a^{7} b x +28 a^{6} b^{2} \ln \left(x \right)-\frac{56 a^{5} b^{3}}{x}-\frac{35 a^{4} b^{4}}{x^{2}}-\frac{56 a^{3} b^{5}}{3 x^{3}}-\frac{7 a^{2} b^{6}}{x^{4}}-\frac{8 a \,b^{7}}{5 x^{5}}-\frac{b^{8}}{6 x^{6}}"," ",0,"-1/6*b^8/x^6-8/5*a*b^7/x^5-7*a^2*b^6/x^4-56/3*a^3*b^5/x^3-35*a^4*b^4/x^2-56*a^5*b^3/x+8*a^7*b*x+1/2*a^8*x^2+28*a^6*b^2*ln(x)","A"
1598,1,87,86,0.008000," ","int((a+b/x)^8,x)","a^{8} x +8 a^{7} b \ln \left(x \right)-\frac{28 a^{6} b^{2}}{x}-\frac{28 a^{5} b^{3}}{x^{2}}-\frac{70 a^{4} b^{4}}{3 x^{3}}-\frac{14 a^{3} b^{5}}{x^{4}}-\frac{28 a^{2} b^{6}}{5 x^{5}}-\frac{4 a \,b^{7}}{3 x^{6}}-\frac{b^{8}}{7 x^{7}}"," ",0,"-1/7*b^8/x^7-4/3*a*b^7/x^6-28/5*a^2*b^6/x^5-14*a^3*b^5/x^4-70/3*a^4*b^4/x^3-28*a^5*b^3/x^2-28*a^6*b^2/x+a^8*x+8*a^7*b*ln(x)","A"
1599,1,89,88,0.007000," ","int((a+b/x)^8/x,x)","a^{8} \ln \left(x \right)-\frac{8 a^{7} b}{x}-\frac{14 a^{6} b^{2}}{x^{2}}-\frac{56 a^{5} b^{3}}{3 x^{3}}-\frac{35 a^{4} b^{4}}{2 x^{4}}-\frac{56 a^{3} b^{5}}{5 x^{5}}-\frac{14 a^{2} b^{6}}{3 x^{6}}-\frac{8 a \,b^{7}}{7 x^{7}}-\frac{b^{8}}{8 x^{8}}"," ",0,"-1/8*b^8/x^8-8/7*a*b^7/x^7-14/3*a^2*b^6/x^6-56/5*a^3*b^5/x^5-35/2*a^4*b^4/x^4-56/3*a^5*b^3/x^3-14*a^6*b^2/x^2-8*a^7*b/x+a^8*ln(x)","A"
1600,1,91,14,0.006000," ","int((a+b/x)^8/x^2,x)","-\frac{a^{8}}{x}-\frac{4 a^{7} b}{x^{2}}-\frac{28 a^{6} b^{2}}{3 x^{3}}-\frac{14 a^{5} b^{3}}{x^{4}}-\frac{14 a^{4} b^{4}}{x^{5}}-\frac{28 a^{3} b^{5}}{3 x^{6}}-\frac{4 a^{2} b^{6}}{x^{7}}-\frac{a \,b^{7}}{x^{8}}-\frac{b^{8}}{9 x^{9}}"," ",0,"-14*a^4*b^4/x^5-14*a^5*b^3/x^4-28/3*a^6*b^2/x^3-a*b^7/x^8-4*a^7*b/x^2-1/9*b^8/x^9-4*a^2*b^6/x^7-28/3*a^3*b^5/x^6-a^8/x","B"
1601,1,91,32,0.005000," ","int((a+b/x)^8/x^3,x)","-\frac{a^{8}}{2 x^{2}}-\frac{8 a^{7} b}{3 x^{3}}-\frac{7 a^{6} b^{2}}{x^{4}}-\frac{56 a^{5} b^{3}}{5 x^{5}}-\frac{35 a^{4} b^{4}}{3 x^{6}}-\frac{8 a^{3} b^{5}}{x^{7}}-\frac{7 a^{2} b^{6}}{2 x^{8}}-\frac{8 a \,b^{7}}{9 x^{9}}-\frac{b^{8}}{10 x^{10}}"," ",0,"-56/5*a^5*b^3/x^5-7*a^6*b^2/x^4-8/3*a^7*b/x^3-7/2*a^2*b^6/x^8-1/2*a^8/x^2-8/9*a*b^7/x^9-8*a^3*b^5/x^7-35/3*a^4*b^4/x^6-1/10*b^8/x^10","B"
1602,1,91,50,0.006000," ","int((a+b/x)^8/x^4,x)","-\frac{a^{8}}{3 x^{3}}-\frac{2 a^{7} b}{x^{4}}-\frac{28 a^{6} b^{2}}{5 x^{5}}-\frac{28 a^{5} b^{3}}{3 x^{6}}-\frac{10 a^{4} b^{4}}{x^{7}}-\frac{7 a^{3} b^{5}}{x^{8}}-\frac{28 a^{2} b^{6}}{9 x^{9}}-\frac{4 a \,b^{7}}{5 x^{10}}-\frac{b^{8}}{11 x^{11}}"," ",0,"-28/5*a^6*b^2/x^5-2*a^7*b/x^4-1/3*a^8/x^3-7*a^3*b^5/x^8-28/9*a^2*b^6/x^9-10*a^4*b^4/x^7-28/3*a^5*b^3/x^6-4/5*a*b^7/x^10-1/11*b^8/x^11","A"
1603,1,91,68,0.006000," ","int((a+b/x)^8/x^5,x)","-\frac{a^{8}}{4 x^{4}}-\frac{8 a^{7} b}{5 x^{5}}-\frac{14 a^{6} b^{2}}{3 x^{6}}-\frac{8 a^{5} b^{3}}{x^{7}}-\frac{35 a^{4} b^{4}}{4 x^{8}}-\frac{56 a^{3} b^{5}}{9 x^{9}}-\frac{14 a^{2} b^{6}}{5 x^{10}}-\frac{8 a \,b^{7}}{11 x^{11}}-\frac{b^{8}}{12 x^{12}}"," ",0,"-8/5*a^7*b/x^5-1/4*a^8/x^4-35/4*a^4*b^4/x^8-56/9*a^3*b^5/x^9-8*a^5*b^3/x^7-14/3*a^6*b^2/x^6-1/12*b^8/x^12-14/5*a^2*b^6/x^10-8/11*a*b^7/x^11","A"
1604,1,91,86,0.006000," ","int((a+b/x)^8/x^6,x)","-\frac{a^{8}}{5 x^{5}}-\frac{4 a^{7} b}{3 x^{6}}-\frac{4 a^{6} b^{2}}{x^{7}}-\frac{7 a^{5} b^{3}}{x^{8}}-\frac{70 a^{4} b^{4}}{9 x^{9}}-\frac{28 a^{3} b^{5}}{5 x^{10}}-\frac{28 a^{2} b^{6}}{11 x^{11}}-\frac{2 a \,b^{7}}{3 x^{12}}-\frac{b^{8}}{13 x^{13}}"," ",0,"-1/5*a^8/x^5-7*a^5*b^3/x^8-1/13*b^8/x^13-70/9*a^4*b^4/x^9-4*a^6*b^2/x^7-4/3*a^7*b/x^6-2/3*a*b^7/x^12-28/5*a^3*b^5/x^10-28/11*a^2*b^6/x^11","A"
1605,1,91,90,0.007000," ","int((a+b/x)^8/x^7,x)","-\frac{a^{8}}{6 x^{6}}-\frac{8 a^{7} b}{7 x^{7}}-\frac{7 a^{6} b^{2}}{2 x^{8}}-\frac{56 a^{5} b^{3}}{9 x^{9}}-\frac{7 a^{4} b^{4}}{x^{10}}-\frac{56 a^{3} b^{5}}{11 x^{11}}-\frac{7 a^{2} b^{6}}{3 x^{12}}-\frac{8 a \,b^{7}}{13 x^{13}}-\frac{b^{8}}{14 x^{14}}"," ",0,"-1/14*b^8/x^14-8/13*a*b^7/x^13-7/3*a^2*b^6/x^12-56/11*a^3*b^5/x^11-7*a^4*b^4/x^10-56/9*a^5*b^3/x^9-7/2*a^6*b^2/x^8-8/7*a^7*b/x^7-1/6*a^8/x^6","A"
1606,1,91,90,0.006000," ","int((a+b/x)^8/x^8,x)","-\frac{a^{8}}{7 x^{7}}-\frac{a^{7} b}{x^{8}}-\frac{28 a^{6} b^{2}}{9 x^{9}}-\frac{28 a^{5} b^{3}}{5 x^{10}}-\frac{70 a^{4} b^{4}}{11 x^{11}}-\frac{14 a^{3} b^{5}}{3 x^{12}}-\frac{28 a^{2} b^{6}}{13 x^{13}}-\frac{4 a \,b^{7}}{7 x^{14}}-\frac{b^{8}}{15 x^{15}}"," ",0,"-1/15*b^8/x^15-4/7*a*b^7/x^14-28/13*a^2*b^6/x^13-14/3*a^3*b^5/x^12-70/11*a^4*b^4/x^11-28/5*a^5*b^3/x^10-28/9*a^6*b^2/x^9-a^7*b/x^8-1/7*a^8/x^7","A"
1607,1,63,62,0.003000," ","int(x^4/(a+b/x),x)","\frac{x^{5}}{5 a}-\frac{b \,x^{4}}{4 a^{2}}+\frac{b^{2} x^{3}}{3 a^{3}}-\frac{b^{3} x^{2}}{2 a^{4}}+\frac{b^{4} x}{a^{5}}-\frac{b^{5} \ln \left(a x +b \right)}{a^{6}}"," ",0,"b^4*x/a^5-1/2*b^3*x^2/a^4+1/3*b^2*x^3/a^3-1/4*b*x^4/a^2+1/5/a*x^5-b^5*ln(a*x+b)/a^6","A"
1608,1,52,51,0.004000," ","int(x^3/(a+b/x),x)","\frac{x^{4}}{4 a}-\frac{b \,x^{3}}{3 a^{2}}+\frac{b^{2} x^{2}}{2 a^{3}}-\frac{b^{3} x}{a^{4}}+\frac{b^{4} \ln \left(a x +b \right)}{a^{5}}"," ",0,"-b^3*x/a^4+1/2*b^2*x^2/a^3-1/3*b*x^3/a^2+1/4/a*x^4+b^4*ln(a*x+b)/a^5","A"
1609,1,41,40,0.003000," ","int(x^2/(a+b/x),x)","\frac{x^{3}}{3 a}-\frac{b \,x^{2}}{2 a^{2}}+\frac{b^{2} x}{a^{3}}-\frac{b^{3} \ln \left(a x +b \right)}{a^{4}}"," ",0,"b^2*x/a^3-1/2*b*x^2/a^2+1/3*x^3/a-b^3*ln(a*x+b)/a^4","A"
1610,1,30,29,0.003000," ","int(x/(a+b/x),x)","\frac{x^{2}}{2 a}-\frac{b x}{a^{2}}+\frac{b^{2} \ln \left(a x +b \right)}{a^{3}}"," ",0,"-b*x/a^2+1/2*x^2/a+b^2*ln(a*x+b)/a^3","A"
1611,1,19,18,0.003000," ","int(1/(a+b/x),x)","\frac{x}{a}-\frac{b \ln \left(a x +b \right)}{a^{2}}"," ",0,"x/a-b*ln(a*x+b)/a^2","A"
1612,1,11,10,0.000000," ","int(1/(a+b/x)/x,x)","\frac{\ln \left(a x +b \right)}{a}"," ",0,"ln(a*x+b)/a","A"
1613,1,19,13,0.004000," ","int(1/(a+b/x)/x^2,x)","\frac{\ln \left(x \right)}{b}-\frac{\ln \left(a x +b \right)}{b}"," ",0,"-1/b*ln(a*x+b)+1/b*ln(x)","A"
1614,1,29,28,0.006000," ","int(1/(a+b/x)/x^3,x)","-\frac{a \ln \left(x \right)}{b^{2}}+\frac{a \ln \left(a x +b \right)}{b^{2}}-\frac{1}{b x}"," ",0,"-1/b/x-a*ln(x)/b^2+a*ln(a*x+b)/b^2","A"
1615,1,41,40,0.009000," ","int(1/(a+b/x)/x^4,x)","\frac{a^{2} \ln \left(x \right)}{b^{3}}-\frac{a^{2} \ln \left(a x +b \right)}{b^{3}}+\frac{a}{b^{2} x}-\frac{1}{2 b \,x^{2}}"," ",0,"-1/2/b/x^2+a/b^2/x+a^2*ln(x)/b^3-a^2*ln(a*x+b)/b^3","A"
1616,1,53,52,0.009000," ","int(1/(a+b/x)/x^5,x)","-\frac{a^{3} \ln \left(x \right)}{b^{4}}+\frac{a^{3} \ln \left(a x +b \right)}{b^{4}}-\frac{a^{2}}{b^{3} x}+\frac{a}{2 b^{2} x^{2}}-\frac{1}{3 b \,x^{3}}"," ",0,"-1/3/b/x^3+1/2*a/b^2/x^2-a^2/b^3/x-a^3*ln(x)/b^4+a^3*ln(a*x+b)/b^4","A"
1617,1,63,62,0.008000," ","int(1/(a+b/x)/x^6,x)","\frac{a^{4} \ln \left(x \right)}{b^{5}}-\frac{a^{4} \ln \left(a x +b \right)}{b^{5}}+\frac{a^{3}}{b^{4} x}-\frac{a^{2}}{2 b^{3} x^{2}}+\frac{a}{3 b^{2} x^{3}}-\frac{1}{4 b \,x^{4}}"," ",0,"-1/4/b/x^4+1/3*a/b^2/x^3-1/2*a^2/b^3/x^2+a^3/b^4/x+a^4*ln(x)/b^5-a^4*ln(a*x+b)/b^5","A"
1618,1,75,74,0.010000," ","int(1/(a+b/x)/x^7,x)","-\frac{a^{5} \ln \left(x \right)}{b^{6}}+\frac{a^{5} \ln \left(a x +b \right)}{b^{6}}-\frac{a^{4}}{b^{5} x}+\frac{a^{3}}{2 b^{4} x^{2}}-\frac{a^{2}}{3 b^{3} x^{3}}+\frac{a}{4 b^{2} x^{4}}-\frac{1}{5 b \,x^{5}}"," ",0,"-1/5/b/x^5+1/4*a/b^2/x^4-1/3*a^2/b^3/x^3+1/2*a^3/b^4/x^2-a^4/b^5/x-a^5*ln(x)/b^6+a^5*ln(a*x+b)/b^6","A"
1619,1,89,88,0.008000," ","int(x^5/(a+b/x)^2,x)","\frac{x^{6}}{6 a^{2}}-\frac{2 b \,x^{5}}{5 a^{3}}+\frac{3 b^{2} x^{4}}{4 a^{4}}-\frac{4 b^{3} x^{3}}{3 a^{5}}+\frac{5 b^{4} x^{2}}{2 a^{6}}-\frac{6 b^{5} x}{a^{7}}+\frac{b^{7}}{\left(a x +b \right) a^{8}}+\frac{7 b^{6} \ln \left(a x +b \right)}{a^{8}}"," ",0,"-6*b^5*x/a^7+5/2*b^4*x^2/a^6-4/3*b^3*x^3/a^5+3/4*b^2*x^4/a^4-2/5*b*x^5/a^3+1/6*x^6/a^2+b^7/a^8/(a*x+b)+7*b^6*ln(a*x+b)/a^8","A"
1620,1,78,77,0.009000," ","int(x^4/(a+b/x)^2,x)","\frac{x^{5}}{5 a^{2}}-\frac{b \,x^{4}}{2 a^{3}}+\frac{b^{2} x^{3}}{a^{4}}-\frac{2 b^{3} x^{2}}{a^{5}}+\frac{5 b^{4} x}{a^{6}}-\frac{b^{6}}{\left(a x +b \right) a^{7}}-\frac{6 b^{5} \ln \left(a x +b \right)}{a^{7}}"," ",0,"5*b^4*x/a^6-2*b^3*x^2/a^5+b^2*x^3/a^4-1/2*b*x^4/a^3+1/5*x^5/a^2-b^6/a^7/(a*x+b)-6*b^5*ln(a*x+b)/a^7","A"
1621,1,67,66,0.008000," ","int(x^3/(a+b/x)^2,x)","\frac{x^{4}}{4 a^{2}}-\frac{2 b \,x^{3}}{3 a^{3}}+\frac{3 b^{2} x^{2}}{2 a^{4}}-\frac{4 b^{3} x}{a^{5}}+\frac{b^{5}}{\left(a x +b \right) a^{6}}+\frac{5 b^{4} \ln \left(a x +b \right)}{a^{6}}"," ",0,"-4*b^3*x/a^5+3/2*b^2*x^2/a^4-2/3*b*x^3/a^3+1/4*x^4/a^2+b^5/a^6/(a*x+b)+5*b^4*ln(a*x+b)/a^6","A"
1622,1,57,56,0.009000," ","int(x^2/(a+b/x)^2,x)","\frac{x^{3}}{3 a^{2}}-\frac{b \,x^{2}}{a^{3}}+\frac{3 b^{2} x}{a^{4}}-\frac{b^{4}}{\left(a x +b \right) a^{5}}-\frac{4 b^{3} \ln \left(a x +b \right)}{a^{5}}"," ",0,"3*b^2*x/a^4-b*x^2/a^3+1/3*x^3/a^2-b^4/a^5/(a*x+b)-4*b^3*ln(a*x+b)/a^5","A"
1623,1,45,44,0.008000," ","int(x/(a+b/x)^2,x)","\frac{x^{2}}{2 a^{2}}-\frac{2 b x}{a^{3}}+\frac{b^{3}}{\left(a x +b \right) a^{4}}+\frac{3 b^{2} \ln \left(a x +b \right)}{a^{4}}"," ",0,"-2*b*x/a^3+1/2*x^2/a^2+b^3/a^4/(a*x+b)+3*b^2*ln(a*x+b)/a^4","A"
1624,1,34,34,0.005000," ","int(1/(a+b/x)^2,x)","\frac{x}{a^{2}}-\frac{b^{2}}{\left(a x +b \right) a^{3}}-\frac{2 b \ln \left(a x +b \right)}{a^{3}}"," ",0,"x/a^2-2*b*ln(a*x+b)/a^3-1/a^3*b^2/(a*x+b)","A"
1625,1,24,23,0.007000," ","int(1/(a+b/x)^2/x,x)","\frac{b}{\left(a x +b \right) a^{2}}+\frac{\ln \left(a x +b \right)}{a^{2}}"," ",0,"b/a^2/(a*x+b)+ln(a*x+b)/a^2","A"
1626,1,13,13,0.000000," ","int(1/(a+b/x)^2/x^2,x)","-\frac{1}{\left(a x +b \right) a}"," ",0,"-1/a/(a*x+b)","A"
1627,1,30,29,0.008000," ","int(1/(a+b/x)^2/x^3,x)","\frac{1}{\left(a x +b \right) b}+\frac{\ln \left(x \right)}{b^{2}}-\frac{\ln \left(a x +b \right)}{b^{2}}"," ",0,"1/b/(a*x+b)+ln(x)/b^2-ln(a*x+b)/b^2","A"
1628,1,43,42,0.010000," ","int(1/(a+b/x)^2/x^4,x)","-\frac{a}{\left(a x +b \right) b^{2}}-\frac{2 a \ln \left(x \right)}{b^{3}}+\frac{2 a \ln \left(a x +b \right)}{b^{3}}-\frac{1}{b^{2} x}"," ",0,"-1/b^2/x-a/b^2/(a*x+b)-2*a*ln(x)/b^3+2*a*ln(a*x+b)/b^3","A"
1629,1,57,56,0.010000," ","int(1/(a+b/x)^2/x^5,x)","\frac{a^{2}}{\left(a x +b \right) b^{3}}+\frac{3 a^{2} \ln \left(x \right)}{b^{4}}-\frac{3 a^{2} \ln \left(a x +b \right)}{b^{4}}+\frac{2 a}{b^{3} x}-\frac{1}{2 b^{2} x^{2}}"," ",0,"-1/2/b^2/x^2+2*a/b^3/x+a^2/b^3/(a*x+b)+3*a^2*ln(x)/b^4-3*a^2*ln(a*x+b)/b^4","A"
1630,1,68,67,0.010000," ","int(1/(a+b/x)^2/x^6,x)","-\frac{a^{3}}{\left(a x +b \right) b^{4}}-\frac{4 a^{3} \ln \left(x \right)}{b^{5}}+\frac{4 a^{3} \ln \left(a x +b \right)}{b^{5}}-\frac{3 a^{2}}{b^{4} x}+\frac{a}{b^{3} x^{2}}-\frac{1}{3 b^{2} x^{3}}"," ",0,"-1/3/b^2/x^3+a/b^3/x^2-3*a^2/b^4/x-a^3/b^4/(a*x+b)-4*a^3*ln(x)/b^5+4*a^3*ln(a*x+b)/b^5","A"
1631,1,79,78,0.011000," ","int(1/(a+b/x)^2/x^7,x)","\frac{a^{4}}{\left(a x +b \right) b^{5}}+\frac{5 a^{4} \ln \left(x \right)}{b^{6}}-\frac{5 a^{4} \ln \left(a x +b \right)}{b^{6}}+\frac{4 a^{3}}{b^{5} x}-\frac{3 a^{2}}{2 b^{4} x^{2}}+\frac{2 a}{3 b^{3} x^{3}}-\frac{1}{4 b^{2} x^{4}}"," ",0,"-1/4/b^2/x^4+2/3*a/b^3/x^3-3/2*a^2/b^4/x^2+4*a^3/b^5/x+a^4/b^5/(a*x+b)+5*a^4*ln(x)/b^6-5*a^4*ln(a*x+b)/b^6","A"
1632,1,91,90,0.012000," ","int(1/(a+b/x)^2/x^8,x)","-\frac{a^{5}}{\left(a x +b \right) b^{6}}-\frac{6 a^{5} \ln \left(x \right)}{b^{7}}+\frac{6 a^{5} \ln \left(a x +b \right)}{b^{7}}-\frac{5 a^{4}}{b^{6} x}+\frac{2 a^{3}}{b^{5} x^{2}}-\frac{a^{2}}{b^{4} x^{3}}+\frac{a}{2 b^{3} x^{4}}-\frac{1}{5 b^{2} x^{5}}"," ",0,"-1/5/b^2/x^5+1/2*a/b^3/x^4-a^2/b^4/x^3+2*a^3/b^5/x^2-5*a^4/b^6/x-a^5/b^6/(a*x+b)-6*a^5*ln(x)/b^7+6*a^5*ln(a*x+b)/b^7","A"
1633,1,94,93,0.008000," ","int(x^4/(a+b/x)^3,x)","\frac{x^{5}}{5 a^{3}}-\frac{3 b \,x^{4}}{4 a^{4}}+\frac{2 b^{2} x^{3}}{a^{5}}-\frac{5 b^{3} x^{2}}{a^{6}}+\frac{b^{7}}{2 \left(a x +b \right)^{2} a^{8}}+\frac{15 b^{4} x}{a^{7}}-\frac{7 b^{6}}{\left(a x +b \right) a^{8}}-\frac{21 b^{5} \ln \left(a x +b \right)}{a^{8}}"," ",0,"15*b^4*x/a^7-5*b^3*x^2/a^6+2*b^2*x^3/a^5-3/4*b*x^4/a^4+1/5*x^5/a^3+1/2*b^7/a^8/(a*x+b)^2-7*b^6/a^8/(a*x+b)-21*b^5*ln(a*x+b)/a^8","A"
1634,1,83,82,0.009000," ","int(x^3/(a+b/x)^3,x)","\frac{x^{4}}{4 a^{3}}-\frac{b \,x^{3}}{a^{4}}+\frac{3 b^{2} x^{2}}{a^{5}}-\frac{b^{6}}{2 \left(a x +b \right)^{2} a^{7}}-\frac{10 b^{3} x}{a^{6}}+\frac{6 b^{5}}{\left(a x +b \right) a^{7}}+\frac{15 b^{4} \ln \left(a x +b \right)}{a^{7}}"," ",0,"-10*b^3*x/a^6+3*b^2*x^2/a^5-b*x^3/a^4+1/4*x^4/a^3-1/2*b^6/a^7/(a*x+b)^2+6*b^5/a^7/(a*x+b)+15*b^4*ln(a*x+b)/a^7","A"
1635,1,72,71,0.010000," ","int(x^2/(a+b/x)^3,x)","\frac{x^{3}}{3 a^{3}}-\frac{3 b \,x^{2}}{2 a^{4}}+\frac{b^{5}}{2 \left(a x +b \right)^{2} a^{6}}+\frac{6 b^{2} x}{a^{5}}-\frac{5 b^{4}}{\left(a x +b \right) a^{6}}-\frac{10 b^{3} \ln \left(a x +b \right)}{a^{6}}"," ",0,"6*b^2*x/a^5-3/2*b*x^2/a^4+1/3*x^3/a^3+1/2*b^5/a^6/(a*x+b)^2-5*b^4/a^6/(a*x+b)-10*b^3*ln(a*x+b)/a^6","A"
1636,1,61,60,0.008000," ","int(x/(a+b/x)^3,x)","\frac{x^{2}}{2 a^{3}}-\frac{b^{4}}{2 \left(a x +b \right)^{2} a^{5}}-\frac{3 b x}{a^{4}}+\frac{4 b^{3}}{\left(a x +b \right) a^{5}}+\frac{6 b^{2} \ln \left(a x +b \right)}{a^{5}}"," ",0,"-3*b*x/a^4+1/2*x^2/a^3-1/2*b^4/a^5/(a*x+b)^2+4*b^3/a^5/(a*x+b)+6*b^2*ln(a*x+b)/a^5","A"
1637,1,49,49,0.007000," ","int(1/(a+b/x)^3,x)","\frac{b^{3}}{2 \left(a x +b \right)^{2} a^{4}}+\frac{x}{a^{3}}-\frac{3 b^{2}}{\left(a x +b \right) a^{4}}-\frac{3 b \ln \left(a x +b \right)}{a^{4}}"," ",0,"x/a^3-3*b*ln(a*x+b)/a^4+1/2*b^3/a^4/(a*x+b)^2-3/a^4*b^2/(a*x+b)","A"
1638,1,40,39,0.007000," ","int(1/(a+b/x)^3/x,x)","-\frac{b^{2}}{2 \left(a x +b \right)^{2} a^{3}}+\frac{2 b}{\left(a x +b \right) a^{3}}+\frac{\ln \left(a x +b \right)}{a^{3}}"," ",0,"-1/2*b^2/a^3/(a*x+b)^2+2*b/a^3/(a*x+b)+ln(a*x+b)/a^3","A"
1639,1,27,14,0.005000," ","int(1/(a+b/x)^3/x^2,x)","\frac{b}{2 \left(a x +b \right)^{2} a^{2}}-\frac{1}{\left(a x +b \right) a^{2}}"," ",0,"1/2/a^2*b/(a*x+b)^2-1/a^2/(a*x+b)","A"
1640,1,13,12,0.001000," ","int(1/(a+b/x)^3/x^3,x)","-\frac{1}{2 \left(a x +b \right)^{2} a}"," ",0,"-1/2/a/(a*x+b)^2","A"
1641,1,42,41,0.007000," ","int(1/(a+b/x)^3/x^4,x)","\frac{1}{2 \left(a x +b \right)^{2} b}+\frac{1}{\left(a x +b \right) b^{2}}+\frac{\ln \left(x \right)}{b^{3}}-\frac{\ln \left(a x +b \right)}{b^{3}}"," ",0,"1/2/b/(a*x+b)^2+1/b^2/(a*x+b)+ln(x)/b^3-ln(a*x+b)/b^3","A"
1642,1,56,55,0.010000," ","int(1/(a+b/x)^3/x^5,x)","-\frac{a}{2 \left(a x +b \right)^{2} b^{2}}-\frac{2 a}{\left(a x +b \right) b^{3}}-\frac{3 a \ln \left(x \right)}{b^{4}}+\frac{3 a \ln \left(a x +b \right)}{b^{4}}-\frac{1}{b^{3} x}"," ",0,"-1/b^3/x-1/2*a/b^2/(a*x+b)^2-2*a/b^3/(a*x+b)-3*a*ln(x)/b^4+3*a*ln(a*x+b)/b^4","A"
1643,1,73,72,0.011000," ","int(1/(a+b/x)^3/x^6,x)","\frac{a^{2}}{2 \left(a x +b \right)^{2} b^{3}}+\frac{3 a^{2}}{\left(a x +b \right) b^{4}}+\frac{6 a^{2} \ln \left(x \right)}{b^{5}}-\frac{6 a^{2} \ln \left(a x +b \right)}{b^{5}}+\frac{3 a}{b^{4} x}-\frac{1}{2 b^{3} x^{2}}"," ",0,"-1/2/b^3/x^2+3*a/b^4/x+1/2*a^2/b^3/(a*x+b)^2+3*a^2/b^4/(a*x+b)+6*a^2*ln(x)/b^5-6*a^2*ln(a*x+b)/b^5","A"
1644,1,84,83,0.011000," ","int(1/(a+b/x)^3/x^7,x)","-\frac{a^{3}}{2 \left(a x +b \right)^{2} b^{4}}-\frac{4 a^{3}}{\left(a x +b \right) b^{5}}-\frac{10 a^{3} \ln \left(x \right)}{b^{6}}+\frac{10 a^{3} \ln \left(a x +b \right)}{b^{6}}-\frac{6 a^{2}}{b^{5} x}+\frac{3 a}{2 b^{4} x^{2}}-\frac{1}{3 b^{3} x^{3}}"," ",0,"-1/3/b^3/x^3+3/2*a/b^4/x^2-6*a^2/b^5/x-1/2*a^3/b^4/(a*x+b)^2-4*a^3/b^5/(a*x+b)-10*a^3*ln(x)/b^6+10*a^3*ln(a*x+b)/b^6","A"
1645,1,94,93,0.011000," ","int(1/(a+b/x)^3/x^8,x)","\frac{a^{4}}{2 \left(a x +b \right)^{2} b^{5}}+\frac{5 a^{4}}{\left(a x +b \right) b^{6}}+\frac{15 a^{4} \ln \left(x \right)}{b^{7}}-\frac{15 a^{4} \ln \left(a x +b \right)}{b^{7}}+\frac{10 a^{3}}{b^{6} x}-\frac{3 a^{2}}{b^{5} x^{2}}+\frac{a}{b^{4} x^{3}}-\frac{1}{4 b^{3} x^{4}}"," ",0,"-1/4/b^3/x^4+a/b^4/x^3-3*a^2/b^5/x^2+10*a^3/b^6/x+1/2*a^4/b^5/(a*x+b)^2+5*a^4/b^6/(a*x+b)+15*a^4*ln(x)/b^7-15*a^4*ln(a*x+b)/b^7","A"
1646,1,106,105,0.010000," ","int(1/(a+b/x)^3/x^9,x)","-\frac{a^{5}}{2 \left(a x +b \right)^{2} b^{6}}-\frac{6 a^{5}}{\left(a x +b \right) b^{7}}-\frac{21 a^{5} \ln \left(x \right)}{b^{8}}+\frac{21 a^{5} \ln \left(a x +b \right)}{b^{8}}-\frac{15 a^{4}}{b^{7} x}+\frac{5 a^{3}}{b^{6} x^{2}}-\frac{2 a^{2}}{b^{5} x^{3}}+\frac{3 a}{4 b^{4} x^{4}}-\frac{1}{5 b^{3} x^{5}}"," ",0,"-1/5/b^3/x^5+3/4*a/b^4/x^4-2*a^2/b^5/x^3+5*a^3/b^6/x^2-15*a^4/b^7/x-1/2*a^5/b^6/(a*x+b)^2-6*a^5/b^7/(a*x+b)-21*a^5*ln(x)/b^8+21*a^5*ln(a*x+b)/b^8","A"
1647,1,14,13,0.005000," ","int((a+b/x)*x^(5/2),x)","\frac{2 \left(5 a x +7 b \right) x^{\frac{5}{2}}}{35}"," ",0,"2/35*(5*a*x+7*b)*x^(5/2)","A"
1648,1,14,13,0.003000," ","int((a+b/x)*x^(3/2),x)","\frac{2 \left(3 a x +5 b \right) x^{\frac{3}{2}}}{15}"," ",0,"2/15*(3*a*x+5*b)*x^(3/2)","A"
1649,1,13,13,0.003000," ","int((a+b/x)*x^(1/2),x)","\frac{2 \left(a x +3 b \right) \sqrt{x}}{3}"," ",0,"2/3*(a*x+3*b)*x^(1/2)","A"
1650,1,13,13,0.003000," ","int((a+b/x)/x^(1/2),x)","\frac{2 a x -2 b}{\sqrt{x}}"," ",0,"2*(a*x-b)/x^(1/2)","A"
1651,1,12,13,0.001000," ","int((a+b/x)/x^(3/2),x)","-\frac{2 \left(3 a x +b \right)}{3 x^{\frac{3}{2}}}"," ",0,"-2/3*(3*a*x+b)/x^(3/2)","A"
1652,1,14,13,0.003000," ","int((a+b/x)/x^(5/2),x)","-\frac{2 \left(5 a x +3 b \right)}{15 x^{\frac{5}{2}}}"," ",0,"-2/15*(5*a*x+3*b)/x^(5/2)","A"
1653,1,25,24,0.005000," ","int((a+b/x)^2*x^(5/2),x)","\frac{2 \left(15 a^{2} x^{2}+42 a b x +35 b^{2}\right) x^{\frac{3}{2}}}{105}"," ",0,"2/105*(15*a^2*x^2+42*a*b*x+35*b^2)*x^(3/2)","A"
1654,1,25,24,0.004000," ","int((a+b/x)^2*x^(3/2),x)","\frac{2 \left(3 a^{2} x^{2}+10 a b x +15 b^{2}\right) \sqrt{x}}{15}"," ",0,"2/15*(3*a^2*x^2+10*a*b*x+15*b^2)*x^(1/2)","A"
1655,1,24,24,0.005000," ","int((a+b/x)^2*x^(1/2),x)","\frac{\frac{2}{3} a^{2} x^{2}+4 a b x -2 b^{2}}{\sqrt{x}}"," ",0,"2/3*(a^2*x^2+6*a*b*x-3*b^2)/x^(1/2)","A"
1656,1,25,24,0.005000," ","int((a+b/x)^2/x^(1/2),x)","\frac{2 a^{2} x^{2}-4 a b x -\frac{2}{3} b^{2}}{x^{\frac{3}{2}}}"," ",0,"2/3*(3*a^2*x^2-6*a*b*x-b^2)/x^(3/2)","A"
1657,1,25,24,0.004000," ","int((a+b/x)^2/x^(3/2),x)","-\frac{2 \left(15 a^{2} x^{2}+10 a b x +3 b^{2}\right)}{15 x^{\frac{5}{2}}}"," ",0,"-2/15*(15*a^2*x^2+10*a*b*x+3*b^2)/x^(5/2)","A"
1658,1,25,24,0.006000," ","int((a+b/x)^2/x^(5/2),x)","-\frac{2 \left(35 a^{2} x^{2}+42 a b x +15 b^{2}\right)}{105 x^{\frac{7}{2}}}"," ",0,"-2/105*(35*a^2*x^2+42*a*b*x+15*b^2)/x^(7/2)","A"
1659,1,36,35,0.005000," ","int((a+b/x)^3*x^(5/2),x)","\frac{2 \left(5 a^{3} x^{3}+21 a^{2} b \,x^{2}+35 a \,b^{2} x +35 b^{3}\right) \sqrt{x}}{35}"," ",0,"2/35*(5*a^3*x^3+21*a^2*b*x^2+35*a*b^2*x+35*b^3)*x^(1/2)","A"
1660,1,35,35,0.006000," ","int((a+b/x)^3*x^(3/2),x)","\frac{\frac{2}{5} a^{3} x^{3}+2 a^{2} b \,x^{2}+6 a \,b^{2} x -2 b^{3}}{\sqrt{x}}"," ",0,"2/5*(a^3*x^3+5*a^2*b*x^2+15*a*b^2*x-5*b^3)/x^(1/2)","A"
1661,1,35,35,0.005000," ","int((a+b/x)^3*x^(1/2),x)","\frac{\frac{2}{3} a^{3} x^{3}+6 a^{2} b \,x^{2}-6 a \,b^{2} x -\frac{2}{3} b^{3}}{x^{\frac{3}{2}}}"," ",0,"2/3*(a^3*x^3+9*a^2*b*x^2-9*a*b^2*x-b^3)/x^(3/2)","A"
1662,1,36,35,0.006000," ","int((a+b/x)^3/x^(1/2),x)","\frac{2 a^{3} x^{3}-6 a^{2} b \,x^{2}-2 a \,b^{2} x -\frac{2}{5} b^{3}}{x^{\frac{5}{2}}}"," ",0,"2/5*(5*a^3*x^3-15*a^2*b*x^2-5*a*b^2*x-b^3)/x^(5/2)","A"
1663,1,36,35,0.005000," ","int((a+b/x)^3/x^(3/2),x)","-\frac{2 \left(35 a^{3} x^{3}+35 a^{2} b \,x^{2}+21 a \,b^{2} x +5 b^{3}\right)}{35 x^{\frac{7}{2}}}"," ",0,"-2/35*(35*a^3*x^3+35*a^2*b*x^2+21*a*b^2*x+5*b^3)/x^(7/2)","A"
1664,1,36,35,0.005000," ","int((a+b/x)^3/x^(5/2),x)","-\frac{2 \left(105 a^{3} x^{3}+189 a^{2} b \,x^{2}+135 a \,b^{2} x +35 b^{3}\right)}{315 x^{\frac{9}{2}}}"," ",0,"-2/315*(105*a^3*x^3+189*a^2*b*x^2+135*a*b^2*x+35*b^3)/x^(9/2)","A"
1665,1,65,59,0.010000," ","int(x^(5/2)/(a+b/x),x)","\frac{2 x^{\frac{7}{2}}}{7 a}-\frac{2 b \,x^{\frac{5}{2}}}{5 a^{2}}+\frac{2 b^{4} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{4}}+\frac{2 b^{2} x^{\frac{3}{2}}}{3 a^{3}}-\frac{2 b^{3} \sqrt{x}}{a^{4}}"," ",0,"2/7/a*x^(7/2)-2/5*b*x^(5/2)/a^2+2/3*b^2*x^(3/2)/a^3-2*b^3*x^(1/2)/a^4+2*b^4/a^4/(a*b)^(1/2)*arctan(x^(1/2)*a/(a*b)^(1/2))","A"
1666,1,54,48,0.007000," ","int(x^(3/2)/(a+b/x),x)","\frac{2 x^{\frac{5}{2}}}{5 a}-\frac{2 b^{3} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}-\frac{2 b \,x^{\frac{3}{2}}}{3 a^{2}}+\frac{2 b^{2} \sqrt{x}}{a^{3}}"," ",0,"2/5/a*x^(5/2)-2/3*b*x^(3/2)/a^2+2*b^2*x^(1/2)/a^3-2*b^3/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1667,1,43,37,0.008000," ","int(x^(1/2)/(a+b/x),x)","\frac{2 b^{2} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}+\frac{2 x^{\frac{3}{2}}}{3 a}-\frac{2 b \sqrt{x}}{a^{2}}"," ",0,"2/3/a*x^(3/2)-2*b*x^(1/2)/a^2+2/a^2*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1668,1,32,28,0.006000," ","int(1/(a+b/x)/x^(1/2),x)","-\frac{2 b \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}+\frac{2 \sqrt{x}}{a}"," ",0,"2/a*x^(1/2)-2/a*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1669,1,19,19,0.006000," ","int(1/(a+b/x)/x^(3/2),x)","\frac{2 \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1670,1,32,28,0.009000," ","int(1/(a+b/x)/x^(5/2),x)","-\frac{2 a \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}-\frac{2}{b \sqrt{x}}"," ",0,"-2/b/x^(1/2)-2*a/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1671,1,43,37,0.010000," ","int(1/(a+b/x)/x^(7/2),x)","\frac{2 a^{2} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}+\frac{2 a}{b^{2} \sqrt{x}}-\frac{2}{3 b \,x^{\frac{3}{2}}}"," ",0,"2*a^2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))-2/3/b/x^(3/2)+2*a/b^2/x^(1/2)","A"
1672,1,54,48,0.010000," ","int(1/(a+b/x)/x^(9/2),x)","-\frac{2 a^{3} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}-\frac{2 a^{2}}{b^{3} \sqrt{x}}+\frac{2 a}{3 b^{2} x^{\frac{3}{2}}}-\frac{2}{5 b \,x^{\frac{5}{2}}}"," ",0,"-2*a^3/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))-2/5/b/x^(5/2)-2*a^2/b^3/x^(1/2)+2/3*a/b^2/x^(3/2)","A"
1673,1,83,74,0.013000," ","int(x^(5/2)/(a+b/x)^2,x)","\frac{2 x^{\frac{7}{2}}}{7 a^{2}}-\frac{4 b \,x^{\frac{5}{2}}}{5 a^{3}}+\frac{9 b^{4} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{5}}+\frac{2 b^{2} x^{\frac{3}{2}}}{a^{4}}-\frac{b^{4} \sqrt{x}}{\left(a x +b \right) a^{5}}-\frac{8 b^{3} \sqrt{x}}{a^{5}}"," ",0,"2/7*x^(7/2)/a^2-4/5*b*x^(5/2)/a^3+2*b^2*x^(3/2)/a^4-8*b^3*x^(1/2)/a^5-1/a^5*b^4*x^(1/2)/(a*x+b)+9/a^5*b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1674,1,71,63,0.011000," ","int(x^(3/2)/(a+b/x)^2,x)","\frac{2 x^{\frac{5}{2}}}{5 a^{2}}-\frac{7 b^{3} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{4}}-\frac{4 b \,x^{\frac{3}{2}}}{3 a^{3}}+\frac{b^{3} \sqrt{x}}{\left(a x +b \right) a^{4}}+\frac{6 b^{2} \sqrt{x}}{a^{4}}"," ",0,"2/5*x^(5/2)/a^2-4/3*b*x^(3/2)/a^3+6*b^2*x^(1/2)/a^4+1/a^4*b^3*x^(1/2)/(a*x+b)-7/a^4*b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1675,1,61,52,0.013000," ","int(x^(1/2)/(a+b/x)^2,x)","\frac{5 b^{2} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}+\frac{2 x^{\frac{3}{2}}}{3 a^{2}}-\frac{b^{2} \sqrt{x}}{\left(a x +b \right) a^{3}}-\frac{4 b \sqrt{x}}{a^{3}}"," ",0,"2/3*x^(3/2)/a^2-4*b*x^(1/2)/a^3-1/a^3*b^2*x^(1/2)/(a*x+b)+5/a^3*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1676,1,47,43,0.012000," ","int(1/(a+b/x)^2/x^(1/2),x)","-\frac{3 b \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}+\frac{b \sqrt{x}}{\left(a x +b \right) a^{2}}+\frac{2 \sqrt{x}}{a^{2}}"," ",0,"2*x^(1/2)/a^2+1/a^2*b*x^(1/2)/(a*x+b)-3/a^2*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1677,1,37,34,0.012000," ","int(1/(a+b/x)^2/x^(3/2),x)","\frac{\arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}-\frac{\sqrt{x}}{\left(a x +b \right) a}"," ",0,"-x^(1/2)/a/(a*x+b)+1/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1678,1,36,33,0.008000," ","int(1/(a+b/x)^2/x^(5/2),x)","\frac{\arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}+\frac{\sqrt{x}}{\left(a x +b \right) b}"," ",0,"x^(1/2)/b/(a*x+b)+1/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1679,1,48,42,0.013000," ","int(1/(a+b/x)^2/x^(7/2),x)","-\frac{3 a \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}-\frac{a \sqrt{x}}{\left(a x +b \right) b^{2}}-\frac{2}{b^{2} \sqrt{x}}"," ",0,"-a/b^2*x^(1/2)/(a*x+b)-3*a/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))-2/b^2/x^(1/2)","A"
1680,1,60,51,0.015000," ","int(1/(a+b/x)^2/x^(9/2),x)","\frac{5 a^{2} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}+\frac{a^{2} \sqrt{x}}{\left(a x +b \right) b^{3}}+\frac{4 a}{b^{3} \sqrt{x}}-\frac{2}{3 b^{2} x^{\frac{3}{2}}}"," ",0,"a^2/b^3*x^(1/2)/(a*x+b)+5*a^2/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))-2/3/b^2/x^(3/2)+4*a/b^3/x^(1/2)","A"
1681,1,72,62,0.016000," ","int(1/(a+b/x)^2/x^(11/2),x)","-\frac{7 a^{3} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{4}}-\frac{a^{3} \sqrt{x}}{\left(a x +b \right) b^{4}}-\frac{6 a^{2}}{b^{4} \sqrt{x}}+\frac{4 a}{3 b^{3} x^{\frac{3}{2}}}-\frac{2}{5 b^{2} x^{\frac{5}{2}}}"," ",0,"-a^3/b^4*x^(1/2)/(a*x+b)-7*a^3/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))-2/5/b^2/x^(5/2)-6*a^2/b^4/x^(1/2)+4/3*a/b^3/x^(3/2)","A"
1682,1,90,78,0.014000," ","int(x^(3/2)/(a+b/x)^3,x)","\frac{17 b^{3} x^{\frac{3}{2}}}{4 \left(a x +b \right)^{2} a^{4}}+\frac{2 x^{\frac{5}{2}}}{5 a^{3}}+\frac{15 b^{4} \sqrt{x}}{4 \left(a x +b \right)^{2} a^{5}}-\frac{63 b^{3} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{5}}-\frac{2 b \,x^{\frac{3}{2}}}{a^{4}}+\frac{12 b^{2} \sqrt{x}}{a^{5}}"," ",0,"2/5*x^(5/2)/a^3-2*b*x^(3/2)/a^4+12*b^2*x^(1/2)/a^5+17/4/a^4*b^3/(a*x+b)^2*x^(3/2)+15/4/a^5*b^4/(a*x+b)^2*x^(1/2)-63/4/a^5*b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1683,1,79,67,0.015000," ","int(x^(1/2)/(a+b/x)^3,x)","-\frac{13 b^{2} x^{\frac{3}{2}}}{4 \left(a x +b \right)^{2} a^{3}}-\frac{11 b^{3} \sqrt{x}}{4 \left(a x +b \right)^{2} a^{4}}+\frac{35 b^{2} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{4}}+\frac{2 x^{\frac{3}{2}}}{3 a^{3}}-\frac{6 b \sqrt{x}}{a^{4}}"," ",0,"2/3*x^(3/2)/a^3-6*b*x^(1/2)/a^4-13/4/a^3*b^2/(a*x+b)^2*x^(3/2)-11/4/a^4*b^3/(a*x+b)^2*x^(1/2)+35/4/a^4*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1684,1,66,58,0.015000," ","int(1/(a+b/x)^3/x^(1/2),x)","\frac{9 b \,x^{\frac{3}{2}}}{4 \left(a x +b \right)^{2} a^{2}}+\frac{7 b^{2} \sqrt{x}}{4 \left(a x +b \right)^{2} a^{3}}-\frac{15 b \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{3}}+\frac{2 \sqrt{x}}{a^{3}}"," ",0,"2*x^(1/2)/a^3+9/4/a^2*b/(a*x+b)^2*x^(3/2)+7/4/a^3*b^2/(a*x+b)^2*x^(1/2)-15/4/a^3*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1685,1,50,50,0.011000," ","int(1/(a+b/x)^3/x^(3/2),x)","\frac{3 \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a^{2}}+\frac{-\frac{5 x^{\frac{3}{2}}}{4 a}-\frac{3 b \sqrt{x}}{4 a^{2}}}{\left(a x +b \right)^{2}}"," ",0,"2*(-5/8/a*x^(3/2)-3/8/a^2*b*x^(1/2))/(a*x+b)^2+3/4/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1686,1,52,53,0.011000," ","int(1/(a+b/x)^3/x^(5/2),x)","\frac{\arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, a b}+\frac{\frac{x^{\frac{3}{2}}}{4 b}-\frac{\sqrt{x}}{4 a}}{\left(a x +b \right)^{2}}"," ",0,"2*(1/8*x^(3/2)/b-1/8/a*x^(1/2))/(a*x+b)^2+1/4/b/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1687,1,53,50,0.008000," ","int(1/(a+b/x)^3/x^(7/2),x)","\frac{\sqrt{x}}{2 \left(a x +b \right)^{2} b}+\frac{3 \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{2}}+\frac{3 \sqrt{x}}{4 \left(a x +b \right) b^{2}}"," ",0,"1/2*x^(1/2)/b/(a*x+b)^2+3/4*x^(1/2)/b^2/(a*x+b)+3/4/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))","A"
1688,1,66,58,0.017000," ","int(1/(a+b/x)^3/x^(9/2),x)","-\frac{7 a^{2} x^{\frac{3}{2}}}{4 \left(a x +b \right)^{2} b^{3}}-\frac{9 a \sqrt{x}}{4 \left(a x +b \right)^{2} b^{2}}-\frac{15 a \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{3}}-\frac{2}{b^{3} \sqrt{x}}"," ",0,"-7/4*a^2/b^3/(a*x+b)^2*x^(3/2)-9/4*a/b^2/(a*x+b)^2*x^(1/2)-15/4*a/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))-2/b^3/x^(1/2)","A"
1689,1,79,67,0.017000," ","int(1/(a+b/x)^3/x^(11/2),x)","\frac{11 a^{3} x^{\frac{3}{2}}}{4 \left(a x +b \right)^{2} b^{4}}+\frac{13 a^{2} \sqrt{x}}{4 \left(a x +b \right)^{2} b^{3}}+\frac{35 a^{2} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{4}}+\frac{6 a}{b^{4} \sqrt{x}}-\frac{2}{3 b^{3} x^{\frac{3}{2}}}"," ",0,"11/4*a^3/b^4/(a*x+b)^2*x^(3/2)+13/4*a^2/b^3/(a*x+b)^2*x^(1/2)+35/4*a^2/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))-2/3/b^3/x^(3/2)+6*a/b^4/x^(1/2)","A"
1690,1,90,78,0.018000," ","int(1/(a+b/x)^3/x^(13/2),x)","-\frac{15 a^{4} x^{\frac{3}{2}}}{4 \left(a x +b \right)^{2} b^{5}}-\frac{17 a^{3} \sqrt{x}}{4 \left(a x +b \right)^{2} b^{4}}-\frac{63 a^{3} \arctan \left(\frac{a \sqrt{x}}{\sqrt{a b}}\right)}{4 \sqrt{a b}\, b^{5}}-\frac{12 a^{2}}{b^{5} \sqrt{x}}+\frac{2 a}{b^{4} x^{\frac{3}{2}}}-\frac{2}{5 b^{3} x^{\frac{5}{2}}}"," ",0,"-15/4*a^4/b^5/(a*x+b)^2*x^(3/2)-17/4*a^3/b^4/(a*x+b)^2*x^(1/2)-63/4*a^3/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x^(1/2))-2/5/b^3/x^(5/2)-12*a^2/b^5/x^(1/2)+2*a/b^4/x^(3/2)","A"
1691,1,135,93,0.016000," ","int(x^3*(a+b/x)^(1/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(15 a \,b^{4} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-60 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} b^{2} x -96 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{7}{2}} x -30 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b^{3}+80 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{5}{2}} b \right) x}{384 \sqrt{\left(a x +b \right) x}\, a^{\frac{9}{2}}}"," ",0,"-1/384*((a*x+b)/x)^(1/2)*x*(-96*x*(a*x^2+b*x)^(3/2)*a^(7/2)+80*a^(5/2)*(a*x^2+b*x)^(3/2)*b-60*a^(5/2)*(a*x^2+b*x)^(1/2)*x*b^2-30*a^(3/2)*(a*x^2+b*x)^(1/2)*b^3+15*ln(1/2*(2*(a*x^2+b*x)^(1/2)*a^(1/2)+2*a*x+b)/a^(1/2))*a*b^4)/((a*x+b)*x)^(1/2)/a^(9/2)","A"
1692,1,115,73,0.007000," ","int(x^2*(a+b/x)^(1/2),x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(3 a \,b^{3} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-12 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} b x -6 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b^{2}+16 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{5}{2}}\right) x}{48 \sqrt{\left(a x +b \right) x}\, a^{\frac{7}{2}}}"," ",0,"1/48*((a*x+b)/x)^(1/2)*x*(16*(a*x^2+b*x)^(3/2)*a^(5/2)-12*(a*x^2+b*x)^(1/2)*a^(5/2)*x*b-6*(a*x^2+b*x)^(1/2)*a^(3/2)*b^2+3*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*a*b^3)/((a*x+b)*x)^(1/2)/a^(7/2)","A"
1693,1,96,53,0.006000," ","int(x*(a+b/x)^(1/2),x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(-a \,b^{2} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+4 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} x +2 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b \right) x}{8 \sqrt{\left(a x +b \right) x}\, a^{\frac{5}{2}}}"," ",0,"1/8*((a*x+b)/x)^(1/2)*x*(4*(a*x^2+b*x)^(1/2)*a^(5/2)*x+2*(a*x^2+b*x)^(1/2)*a^(3/2)*b-b^2*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*a)/((a*x+b)*x)^(1/2)/a^(5/2)","A"
1694,1,74,31,0.006000," ","int((a+b/x)^(1/2),x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(b \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}\right) x}{2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}"," ",0,"1/2*((a*x+b)/x)^(1/2)*x*(2*(a*x^2+b*x)^(1/2)*a^(1/2)+b*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a*x+b)*x)^(1/2)/a^(1/2)","B"
1695,1,103,31,0.007000," ","int((a+b/x)^(1/2)/x,x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-a b \,x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-2 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} x^{2}+2 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} \sqrt{a}\right)}{\sqrt{\left(a x +b \right) x}\, \sqrt{a}\, b x}"," ",0,"-((a*x+b)/x)^(1/2)/x*(-2*(a*x^2+b*x)^(1/2)*a^(3/2)*x^2-ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*x^2*a*b+2*(a*x^2+b*x)^(3/2)*a^(1/2))/((a*x+b)*x)^(1/2)/b/a^(1/2)","B"
1696,1,25,14,0.005000," ","int((a+b/x)^(1/2)/x^2,x)","-\frac{2 \left(a x +b \right) \sqrt{\frac{a x +b}{x}}}{3 b x}"," ",0,"-2/3*(a*x+b)/x/b*((a*x+b)/x)^(1/2)","A"
1697,1,33,30,0.005000," ","int((a+b/x)^(1/2)/x^3,x)","\frac{2 \left(a x +b \right) \left(2 a x -3 b \right) \sqrt{\frac{a x +b}{x}}}{15 b^{2} x^{2}}"," ",0,"2/15*(a*x+b)*(2*a*x-3*b)*((a*x+b)/x)^(1/2)/b^2/x^2","A"
1698,1,44,47,0.004000," ","int((a+b/x)^(1/2)/x^4,x)","-\frac{2 \left(a x +b \right) \left(8 a^{2} x^{2}-12 a b x +15 b^{2}\right) \sqrt{\frac{a x +b}{x}}}{105 b^{3} x^{3}}"," ",0,"-2/105*(a*x+b)*(8*a^2*x^2-12*a*b*x+15*b^2)*((a*x+b)/x)^(1/2)/b^3/x^3","A"
1699,1,55,64,0.006000," ","int((a+b/x)^(1/2)/x^5,x)","\frac{2 \left(a x +b \right) \left(16 a^{3} x^{3}-24 a^{2} b \,x^{2}+30 a \,b^{2} x -35 b^{3}\right) \sqrt{\frac{a x +b}{x}}}{315 b^{4} x^{4}}"," ",0,"2/315*(a*x+b)*(16*a^3*x^3-24*a^2*b*x^2+30*a*b^2*x-35*b^3)*((a*x+b)/x)^(1/2)/x^4/b^4","A"
1700,1,66,81,0.006000," ","int((a+b/x)^(1/2)/x^6,x)","-\frac{2 \left(a x +b \right) \left(128 a^{4} x^{4}-192 a^{3} x^{3} b +240 a^{2} x^{2} b^{2}-280 a x \,b^{3}+315 b^{4}\right) \sqrt{\frac{a x +b}{x}}}{3465 b^{5} x^{5}}"," ",0,"-2/3465*(a*x+b)*(128*a^4*x^4-192*a^3*b*x^3+240*a^2*b^2*x^2-280*a*b^3*x+315*b^4)*((a*x+b)/x)^(1/2)/x^5/b^5","A"
1701,1,135,90,0.008000," ","int((a+b/x)^(3/2)*x^3,x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(3 a \,b^{4} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-12 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} b^{2} x +32 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{7}{2}} x -6 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b^{3}+16 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{5}{2}} b \right) x}{128 \sqrt{\left(a x +b \right) x}\, a^{\frac{7}{2}}}"," ",0,"1/128*((a*x+b)/x)^(1/2)*x/a^(7/2)*(32*(a*x^2+b*x)^(3/2)*a^(7/2)*x+16*(a*x^2+b*x)^(3/2)*a^(5/2)*b-12*(a*x^2+b*x)^(1/2)*a^(5/2)*b^2*x-6*(a*x^2+b*x)^(1/2)*a^(3/2)*b^3+3*a*b^4*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a*x+b)*x)^(1/2)","A"
1702,1,115,70,0.008000," ","int((a+b/x)^(3/2)*x^2,x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(-3 a \,b^{3} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+12 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} b x +6 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b^{2}+16 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{5}{2}}\right) x}{48 \sqrt{\left(a x +b \right) x}\, a^{\frac{5}{2}}}"," ",0,"1/48*((a*x+b)/x)^(1/2)*x/a^(5/2)*(16*(a*x^2+b*x)^(3/2)*a^(5/2)+12*(a*x^2+b*x)^(1/2)*a^(5/2)*b*x+6*(a*x^2+b*x)^(1/2)*a^(3/2)*b^2-3*a*b^3*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a*x+b)*x)^(1/2)","A"
1703,1,96,50,0.008000," ","int((a+b/x)^(3/2)*x,x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(3 a \,b^{2} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+4 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} x +10 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b \right) x}{8 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}}}"," ",0,"1/8*((a*x+b)/x)^(1/2)*x*(4*(a*x^2+b*x)^(1/2)*a^(5/2)*x+10*(a*x^2+b*x)^(1/2)*a^(3/2)*b+3*a*b^2*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a*x+b)*x)^(1/2)/a^(3/2)","A"
1704,1,100,44,0.010000," ","int((a+b/x)^(3/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-3 a b \,x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-6 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} x^{2}+4 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} \sqrt{a}\right)}{2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}\, x}"," ",0,"-1/2*((a*x+b)/x)^(1/2)/x*(-6*(a*x^2+b*x)^(1/2)*a^(3/2)*x^2-3*a*b*x^2*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))+4*(a*x^2+b*x)^(3/2)*a^(1/2))/((a*x+b)*x)^(1/2)/a^(1/2)","B"
1705,1,123,43,0.010000," ","int((a+b/x)^(3/2)/x,x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-3 a^{2} b \,x^{3} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-6 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} x^{3}+6 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{3}{2}} x +2 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} \sqrt{a}\, b \right)}{3 \sqrt{\left(a x +b \right) x}\, \sqrt{a}\, b \,x^{2}}"," ",0,"-1/3*((a*x+b)/x)^(1/2)/x^2*(-6*(a*x^2+b*x)^(1/2)*a^(5/2)*x^3-3*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*x^3*a^2*b+6*(a*x^2+b*x)^(3/2)*a^(3/2)*x+2*(a*x^2+b*x)^(3/2)*b*a^(1/2))/((a*x+b)*x)^(1/2)/b/a^(1/2)","B"
1706,1,25,14,0.005000," ","int((a+b/x)^(3/2)/x^2,x)","-\frac{2 \left(a x +b \right) \left(\frac{a x +b}{x}\right)^{\frac{3}{2}}}{5 b x}"," ",0,"-2/5*(a*x+b)/x/b*((a*x+b)/x)^(3/2)","A"
1707,1,33,30,0.005000," ","int((a+b/x)^(3/2)/x^3,x)","\frac{2 \left(a x +b \right) \left(2 a x -5 b \right) \left(\frac{a x +b}{x}\right)^{\frac{3}{2}}}{35 b^{2} x^{2}}"," ",0,"2/35*(a*x+b)*(2*a*x-5*b)*((a*x+b)/x)^(3/2)/b^2/x^2","A"
1708,1,44,47,0.007000," ","int((a+b/x)^(3/2)/x^4,x)","-\frac{2 \left(a x +b \right) \left(8 a^{2} x^{2}-20 a b x +35 b^{2}\right) \left(\frac{a x +b}{x}\right)^{\frac{3}{2}}}{315 b^{3} x^{3}}"," ",0,"-2/315*(a*x+b)*(8*a^2*x^2-20*a*b*x+35*b^2)*((a*x+b)/x)^(3/2)/b^3/x^3","A"
1709,1,55,64,0.005000," ","int((a+b/x)^(3/2)/x^5,x)","\frac{2 \left(a x +b \right) \left(16 a^{3} x^{3}-40 a^{2} b \,x^{2}+70 a \,b^{2} x -105 b^{3}\right) \left(\frac{a x +b}{x}\right)^{\frac{3}{2}}}{1155 b^{4} x^{4}}"," ",0,"2/1155*(a*x+b)*(16*a^3*x^3-40*a^2*b*x^2+70*a*b^2*x-105*b^3)*((a*x+b)/x)^(3/2)/x^4/b^4","A"
1710,1,66,81,0.006000," ","int((a+b/x)^(3/2)/x^6,x)","-\frac{2 \left(a x +b \right) \left(128 a^{4} x^{4}-320 a^{3} x^{3} b +560 a^{2} x^{2} b^{2}-840 a x \,b^{3}+1155 b^{4}\right) \left(\frac{a x +b}{x}\right)^{\frac{3}{2}}}{15015 b^{5} x^{5}}"," ",0,"-2/15015*(a*x+b)*(128*a^4*x^4-320*a^3*b*x^3+560*a^2*b^2*x^2-840*a*b^3*x+1155*b^4)*((a*x+b)/x)^(3/2)/x^5/b^5","A"
1711,1,77,98,0.006000," ","int((a+b/x)^(3/2)/x^7,x)","\frac{2 \left(a x +b \right) \left(256 a^{5} x^{5}-640 a^{4} b \,x^{4}+1120 a^{3} b^{2} x^{3}-1680 a^{2} b^{3} x^{2}+2310 a \,b^{4} x -3003 b^{5}\right) \left(\frac{a x +b}{x}\right)^{\frac{3}{2}}}{45045 b^{6} x^{6}}"," ",0,"2/45045*(a*x+b)*(256*a^5*x^5-640*a^4*b*x^4+1120*a^3*b^2*x^3-1680*a^2*b^3*x^2+2310*a*b^4*x-3003*b^5)*((a*x+b)/x)^(3/2)/x^6/b^6","A"
1712,1,135,87,0.008000," ","int((a+b/x)^(5/2)*x^3,x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(-15 a \,b^{4} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+60 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} b^{2} x +96 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{7}{2}} x +30 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b^{3}+176 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{5}{2}} b \right) x}{384 \sqrt{\left(a x +b \right) x}\, a^{\frac{5}{2}}}"," ",0,"1/384*((a*x+b)/x)^(1/2)*x/a^(5/2)*(96*(a*x^2+b*x)^(3/2)*a^(7/2)*x+176*(a*x^2+b*x)^(3/2)*a^(5/2)*b+60*(a*x^2+b*x)^(1/2)*a^(5/2)*b^2*x+30*(a*x^2+b*x)^(1/2)*a^(3/2)*b^3-15*a*b^4*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a*x+b)*x)^(1/2)","A"
1713,1,115,67,0.008000," ","int((a+b/x)^(5/2)*x^2,x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(15 a \,b^{3} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+36 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} b x +66 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b^{2}+16 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{5}{2}}\right) x}{48 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}}}"," ",0,"1/48*((a*x+b)/x)^(1/2)*x*(16*(a*x^2+b*x)^(3/2)*a^(5/2)+36*(a*x^2+b*x)^(1/2)*a^(5/2)*b*x+66*(a*x^2+b*x)^(1/2)*a^(3/2)*b^2+15*a*b^3*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a*x+b)*x)^(1/2)/a^(3/2)","A"
1714,1,125,64,0.010000," ","int((a+b/x)^(5/2)*x,x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-15 a^{2} b^{2} x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-4 \sqrt{a \,x^{2}+b x}\, a^{\frac{7}{2}} x^{3}-34 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} b \,x^{2}+16 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{3}{2}} b \right)}{8 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}} x}"," ",0,"-1/8*((a*x+b)/x)^(1/2)/x*(-4*(a*x^2+b*x)^(1/2)*a^(7/2)*x^3-34*(a*x^2+b*x)^(1/2)*a^(5/2)*x^2*b-15*a^2*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*x^2*b^2+16*(a*x^2+b*x)^(3/2)*a^(3/2)*b)/((a*x+b)*x)^(1/2)/a^(3/2)","A"
1715,1,120,57,0.010000," ","int((a+b/x)^(5/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-15 a^{2} b \,x^{3} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-30 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} x^{3}+24 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{3}{2}} x +4 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} \sqrt{a}\, b \right)}{6 \sqrt{\left(a x +b \right) x}\, \sqrt{a}\, x^{2}}"," ",0,"-1/6*((a*x+b)/x)^(1/2)/x^2*(-30*(a*x^2+b*x)^(1/2)*a^(5/2)*x^3-15*a^2*b*x^3*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))+24*(a*x^2+b*x)^(3/2)*a^(3/2)*x+4*(a*x^2+b*x)^(3/2)*a^(1/2)*b)/((a*x+b)*x)^(1/2)/a^(1/2)","B"
1716,1,145,57,0.011000," ","int((a+b/x)^(5/2)/x,x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-15 a^{3} b \,x^{4} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-30 \sqrt{a \,x^{2}+b x}\, a^{\frac{7}{2}} x^{4}+30 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{5}{2}} x^{2}+16 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{3}{2}} b x +6 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} \sqrt{a}\, b^{2}\right)}{15 \sqrt{\left(a x +b \right) x}\, \sqrt{a}\, b \,x^{3}}"," ",0,"-1/15*((a*x+b)/x)^(1/2)/x^3/b*(-30*(a*x^2+b*x)^(1/2)*a^(7/2)*x^4-15*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*x^4*a^3*b+30*(a*x^2+b*x)^(3/2)*a^(5/2)*x^2+16*a^(3/2)*(a*x^2+b*x)^(3/2)*b*x+6*(a*x^2+b*x)^(3/2)*a^(1/2)*b^2)/((a*x+b)*x)^(1/2)/a^(1/2)","B"
1717,1,25,14,0.005000," ","int((a+b/x)^(5/2)/x^2,x)","-\frac{2 \left(a x +b \right) \left(\frac{a x +b}{x}\right)^{\frac{5}{2}}}{7 b x}"," ",0,"-2/7*(a*x+b)/x/b*((a*x+b)/x)^(5/2)","A"
1718,1,33,30,0.006000," ","int((a+b/x)^(5/2)/x^3,x)","\frac{2 \left(a x +b \right) \left(2 a x -7 b \right) \left(\frac{a x +b}{x}\right)^{\frac{5}{2}}}{63 b^{2} x^{2}}"," ",0,"2/63*(a*x+b)*(2*a*x-7*b)*((a*x+b)/x)^(5/2)/b^2/x^2","A"
1719,1,44,47,0.005000," ","int((a+b/x)^(5/2)/x^4,x)","-\frac{2 \left(a x +b \right) \left(8 a^{2} x^{2}-28 a b x +63 b^{2}\right) \left(\frac{a x +b}{x}\right)^{\frac{5}{2}}}{693 b^{3} x^{3}}"," ",0,"-2/693*(a*x+b)*(8*a^2*x^2-28*a*b*x+63*b^2)*((a*x+b)/x)^(5/2)/b^3/x^3","A"
1720,1,55,64,0.007000," ","int((a+b/x)^(5/2)/x^5,x)","\frac{2 \left(a x +b \right) \left(16 a^{3} x^{3}-56 a^{2} b \,x^{2}+126 a \,b^{2} x -231 b^{3}\right) \left(\frac{a x +b}{x}\right)^{\frac{5}{2}}}{3003 b^{4} x^{4}}"," ",0,"2/3003*(a*x+b)*(16*a^3*x^3-56*a^2*b*x^2+126*a*b^2*x-231*b^3)*((a*x+b)/x)^(5/2)/x^4/b^4","A"
1721,1,66,81,0.007000," ","int((a+b/x)^(5/2)/x^6,x)","-\frac{2 \left(a x +b \right) \left(128 a^{4} x^{4}-448 a^{3} x^{3} b +1008 a^{2} x^{2} b^{2}-1848 a x \,b^{3}+3003 b^{4}\right) \left(\frac{a x +b}{x}\right)^{\frac{5}{2}}}{45045 b^{5} x^{5}}"," ",0,"-2/45045*(a*x+b)*(128*a^4*x^4-448*a^3*b*x^3+1008*a^2*b^2*x^2-1848*a*b^3*x+3003*b^4)*((a*x+b)/x)^(5/2)/x^5/b^5","A"
1722,1,184,96,0.013000," ","int(x^3/(a+b/x)^(1/2),x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(192 a \,b^{4} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-87 a \,b^{4} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+348 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} b^{2} x +96 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{7}{2}} x +174 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b^{3}-384 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}} b^{3}-208 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{5}{2}} b \right) x}{384 \sqrt{\left(a x +b \right) x}\, a^{\frac{11}{2}}}"," ",0,"1/384*((a*x+b)/x)^(1/2)*x*(96*(a*x^2+b*x)^(3/2)*a^(7/2)*x-208*(a*x^2+b*x)^(3/2)*a^(5/2)*b+348*(a*x^2+b*x)^(1/2)*a^(5/2)*b^2*x+174*(a*x^2+b*x)^(1/2)*a^(3/2)*b^3+192*ln(1/2*(2*((a*x+b)*x)^(1/2)*a^(1/2)+2*a*x+b)/a^(1/2))*a*b^4-384*a^(3/2)*((a*x+b)*x)^(1/2)*b^3-87*a*b^4*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a*x+b)*x)^(1/2)/a^(11/2)","A"
1723,1,164,76,0.010000," ","int(x^2/(a+b/x)^(1/2),x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(-24 a \,b^{3} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+9 a \,b^{3} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-36 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} b x -18 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b^{2}+48 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}} b^{2}+16 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{5}{2}}\right) x}{48 \sqrt{\left(a x +b \right) x}\, a^{\frac{9}{2}}}"," ",0,"1/48*((a*x+b)/x)^(1/2)*x/a^(9/2)*(16*(a*x^2+b*x)^(3/2)*a^(5/2)-36*(a*x^2+b*x)^(1/2)*a^(5/2)*b*x-18*(a*x^2+b*x)^(1/2)*a^(3/2)*b^2+48*a^(3/2)*((a*x+b)*x)^(1/2)*b^2-24*a*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*b^3+9*a*b^3*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a*x+b)*x)^(1/2)","B"
1724,1,142,56,0.007000," ","int(x/(a+b/x)^(1/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-4 a \,b^{2} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+a \,b^{2} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-4 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} x +8 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}} b -2 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b \right) x}{8 \sqrt{\left(a x +b \right) x}\, a^{\frac{7}{2}}}"," ",0,"-1/8*((a*x+b)/x)^(1/2)*x*(-4*(a*x^2+b*x)^(1/2)*a^(5/2)*x+8*((a*x+b)*x)^(1/2)*a^(3/2)*b-2*(a*x^2+b*x)^(1/2)*a^(3/2)*b-4*a*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*b^2+a*b^2*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a*x+b)*x)^(1/2)/a^(7/2)","B"
1725,1,70,35,0.005000," ","int(1/(a+b/x)^(1/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(b \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}\right) x}{2 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}}}"," ",0,"-1/2*((a*x+b)/x)^(1/2)*x*(b*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))-2*((a*x+b)*x)^(1/2)*a^(1/2))/((a*x+b)*x)^(1/2)/a^(3/2)","A"
1726,1,121,19,0.012000," ","int(1/x/(a+b/x)^(1/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-b \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-b \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}-2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}\right) x}{2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}\, b}"," ",0,"-1/2*((a*x+b)/x)^(1/2)*x*(2*((a*x+b)*x)^(1/2)*a^(1/2)-b*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))-2*(a*x^2+b*x)^(1/2)*a^(1/2)-b*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a*x+b)*x)^(1/2)/b/a^(1/2)","B"
1727,1,25,14,0.004000," ","int(1/x^2/(a+b/x)^(1/2),x)","-\frac{2 \left(a x +b \right)}{\sqrt{\frac{a x +b}{x}}\, b x}"," ",0,"-2*(a*x+b)/x/b/((a*x+b)/x)^(1/2)","A"
1728,1,33,30,0.005000," ","int(1/x^3/(a+b/x)^(1/2),x)","\frac{2 \left(a x +b \right) \left(2 a x -b \right)}{3 \sqrt{\frac{a x +b}{x}}\, b^{2} x^{2}}"," ",0,"2/3*(a*x+b)*(2*a*x-b)/x^2/b^2/((a*x+b)/x)^(1/2)","A"
1729,1,44,47,0.005000," ","int(1/x^4/(a+b/x)^(1/2),x)","-\frac{2 \left(a x +b \right) \left(8 a^{2} x^{2}-4 a b x +3 b^{2}\right)}{15 \sqrt{\frac{a x +b}{x}}\, b^{3} x^{3}}"," ",0,"-2/15*(a*x+b)*(8*a^2*x^2-4*a*b*x+3*b^2)/x^3/b^3/((a*x+b)/x)^(1/2)","A"
1730,1,55,64,0.005000," ","int(1/x^5/(a+b/x)^(1/2),x)","\frac{2 \left(a x +b \right) \left(16 a^{3} x^{3}-8 a^{2} b \,x^{2}+6 a \,b^{2} x -5 b^{3}\right)}{35 \sqrt{\frac{a x +b}{x}}\, b^{4} x^{4}}"," ",0,"2/35*(a*x+b)*(16*a^3*x^3-8*a^2*b*x^2+6*a*b^2*x-5*b^3)/x^4/b^4/((a*x+b)/x)^(1/2)","A"
1731,1,66,81,0.004000," ","int(1/x^6/(a+b/x)^(1/2),x)","-\frac{2 \left(a x +b \right) \left(128 a^{4} x^{4}-64 a^{3} x^{3} b +48 a^{2} x^{2} b^{2}-40 a x \,b^{3}+35 b^{4}\right)}{315 \sqrt{\frac{a x +b}{x}}\, b^{5} x^{5}}"," ",0,"-2/315*(a*x+b)*(128*a^4*x^4-64*a^3*b*x^3+48*a^2*b^2*x^2-40*a*b^3*x+35*b^4)/x^5/b^5/((a*x+b)/x)^(1/2)","A"
1732,1,458,93,0.016000," ","int(x^2/(a+b/x)^(3/2),x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(-120 a^{3} b^{3} x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+15 a^{3} b^{3} x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-60 \sqrt{a \,x^{2}+b x}\, a^{\frac{9}{2}} b \,x^{3}-240 a^{2} b^{4} x \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+30 a^{2} b^{4} x \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-150 \sqrt{a \,x^{2}+b x}\, a^{\frac{7}{2}} b^{2} x^{2}+240 \sqrt{\left(a x +b \right) x}\, a^{\frac{7}{2}} b^{2} x^{2}-120 a \,b^{5} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+15 a \,b^{5} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+16 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{9}{2}} x^{2}-120 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} b^{3} x +480 \sqrt{\left(a x +b \right) x}\, a^{\frac{5}{2}} b^{3} x +32 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{7}{2}} b x -30 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b^{4}+240 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}} b^{4}+16 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{5}{2}} b^{2}-96 \left(\left(a x +b \right) x \right)^{\frac{3}{2}} a^{\frac{5}{2}} b^{2}\right) x}{48 \sqrt{\left(a x +b \right) x}\, \left(a x +b \right)^{2} a^{\frac{11}{2}}}"," ",0,"1/48*((a*x+b)/x)^(1/2)*x/a^(11/2)*(16*(a*x^2+b*x)^(3/2)*a^(9/2)*x^2-60*(a*x^2+b*x)^(1/2)*a^(9/2)*x^3*b+32*(a*x^2+b*x)^(3/2)*a^(7/2)*x*b-150*(a*x^2+b*x)^(1/2)*a^(7/2)*x^2*b^2+240*a^(7/2)*((a*x+b)*x)^(1/2)*x^2*b^2-120*a^3*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*x^2*b^3+16*(a*x^2+b*x)^(3/2)*a^(5/2)*b^2-120*(a*x^2+b*x)^(1/2)*a^(5/2)*x*b^3-96*a^(5/2)*((a*x+b)*x)^(3/2)*b^2+480*a^(5/2)*((a*x+b)*x)^(1/2)*x*b^3-240*a^2*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*x*b^4+15*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*x^2*a^3*b^3-30*(a*x^2+b*x)^(1/2)*a^(3/2)*b^4+240*a^(3/2)*((a*x+b)*x)^(1/2)*b^4-120*a*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*b^5+30*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*x*a^2*b^4+15*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*a*b^5)/((a*x+b)*x)^(1/2)/(a*x+b)^2","B"
1733,1,395,73,0.013000," ","int(x/(a+b/x)^(3/2),x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(16 a^{3} b^{2} x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-a^{3} b^{2} x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+4 \sqrt{a \,x^{2}+b x}\, a^{\frac{9}{2}} x^{3}+32 a^{2} b^{3} x \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-2 a^{2} b^{3} x \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+10 \sqrt{a \,x^{2}+b x}\, a^{\frac{7}{2}} b \,x^{2}-32 \sqrt{\left(a x +b \right) x}\, a^{\frac{7}{2}} b \,x^{2}+16 a \,b^{4} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-a \,b^{4} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+8 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} b^{2} x -64 \sqrt{\left(a x +b \right) x}\, a^{\frac{5}{2}} b^{2} x +2 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b^{3}-32 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}} b^{3}+16 \left(\left(a x +b \right) x \right)^{\frac{3}{2}} a^{\frac{5}{2}} b \right) x}{8 \sqrt{\left(a x +b \right) x}\, \left(a x +b \right)^{2} a^{\frac{9}{2}}}"," ",0,"1/8*((a*x+b)/x)^(1/2)*x/a^(9/2)*(4*(a*x^2+b*x)^(1/2)*a^(9/2)*x^3+10*(a*x^2+b*x)^(1/2)*a^(7/2)*x^2*b-32*a^(7/2)*((a*x+b)*x)^(1/2)*x^2*b+16*a^3*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*x^2*b^2+8*(a*x^2+b*x)^(1/2)*a^(5/2)*b^2*x+16*a^(5/2)*((a*x+b)*x)^(3/2)*b-64*a^(5/2)*((a*x+b)*x)^(1/2)*x*b^2+32*a^2*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*x*b^3-ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*x^2*a^3*b^2+2*(a*x^2+b*x)^(1/2)*a^(3/2)*b^3-32*((a*x+b)*x)^(1/2)*a^(3/2)*b^3+16*a*b^4*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))-2*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*x*a^2*b^3-a*b^4*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a*x+b)*x)^(1/2)/(a*x+b)^2","B"
1734,1,198,50,0.010000," ","int(1/(a+b/x)^(3/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(3 a^{2} b \,x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+6 a \,b^{2} x \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-6 \sqrt{\left(a x +b \right) x}\, a^{\frac{5}{2}} x^{2}+3 b^{3} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-12 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}} b x -6 \sqrt{\left(a x +b \right) x}\, \sqrt{a}\, b^{2}+4 \left(\left(a x +b \right) x \right)^{\frac{3}{2}} a^{\frac{3}{2}}\right) x}{2 \sqrt{\left(a x +b \right) x}\, \left(a x +b \right)^{2} a^{\frac{5}{2}}}"," ",0,"-1/2*((a*x+b)/x)^(1/2)*x/a^(5/2)*(-6*((a*x+b)*x)^(1/2)*a^(5/2)*x^2+3*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*x^2*a^2*b+4*a^(3/2)*((a*x+b)*x)^(3/2)-12*((a*x+b)*x)^(1/2)*a^(3/2)*x*b+6*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*x*a*b^2-6*((a*x+b)*x)^(1/2)*a^(1/2)*b^2+3*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*b^3)/((a*x+b)*x)^(1/2)/(a*x+b)^2","B"
1735,1,198,34,0.007000," ","int(1/(a+b/x)^(3/2)/x,x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(a^{2} b \,x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+2 a \,b^{2} x \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-2 \sqrt{\left(a x +b \right) x}\, a^{\frac{5}{2}} x^{2}+b^{3} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-4 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}} b x -2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}\, b^{2}+2 \left(\left(a x +b \right) x \right)^{\frac{3}{2}} a^{\frac{3}{2}}\right) x}{\sqrt{\left(a x +b \right) x}\, \left(a x +b \right)^{2} a^{\frac{3}{2}} b}"," ",0,"((a*x+b)/x)^(1/2)*x/a^(3/2)*(a^2*b*x^2*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))-2*((a*x+b)*x)^(1/2)*a^(5/2)*x^2+2*a*b^2*x*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))+2*((a*x+b)*x)^(3/2)*a^(3/2)-4*((a*x+b)*x)^(1/2)*a^(3/2)*b*x+b^3*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))-2*((a*x+b)*x)^(1/2)*a^(1/2)*b^2)/((a*x+b)*x)^(1/2)/b/(a*x+b)^2","B"
1736,1,25,14,0.004000," ","int(1/(a+b/x)^(3/2)/x^2,x)","\frac{2 a x +2 b}{\left(\frac{a x +b}{x}\right)^{\frac{3}{2}} b x}"," ",0,"2*(a*x+b)/x/b/((a*x+b)/x)^(3/2)","A"
1737,1,31,30,0.005000," ","int(1/(a+b/x)^(3/2)/x^3,x)","-\frac{2 \left(a x +b \right) \left(2 a x +b \right)}{\left(\frac{a x +b}{x}\right)^{\frac{3}{2}} b^{2} x^{2}}"," ",0,"-2*(a*x+b)*(2*a*x+b)/x^2/b^2/((a*x+b)/x)^(3/2)","A"
1738,1,44,47,0.006000," ","int(1/(a+b/x)^(3/2)/x^4,x)","\frac{2 \left(a x +b \right) \left(8 a^{2} x^{2}+4 a b x -b^{2}\right)}{3 \left(\frac{a x +b}{x}\right)^{\frac{3}{2}} b^{3} x^{3}}"," ",0,"2/3*(a*x+b)*(8*a^2*x^2+4*a*b*x-b^2)/x^3/b^3/((a*x+b)/x)^(3/2)","A"
1739,1,53,64,0.006000," ","int(1/(a+b/x)^(3/2)/x^5,x)","-\frac{2 \left(a x +b \right) \left(16 a^{3} x^{3}+8 a^{2} b \,x^{2}-2 a \,b^{2} x +b^{3}\right)}{5 \left(\frac{a x +b}{x}\right)^{\frac{3}{2}} b^{4} x^{4}}"," ",0,"-2/5*(a*x+b)*(16*a^3*x^3+8*a^2*b*x^2-2*a*b^2*x+b^3)/x^4/b^4/((a*x+b)/x)^(3/2)","A"
1740,1,66,81,0.007000," ","int(1/(a+b/x)^(3/2)/x^6,x)","\frac{2 \left(a x +b \right) \left(128 a^{4} x^{4}+64 a^{3} x^{3} b -16 a^{2} x^{2} b^{2}+8 a x \,b^{3}-5 b^{4}\right)}{35 \left(\frac{a x +b}{x}\right)^{\frac{3}{2}} b^{5} x^{5}}"," ",0,"2/35*(a*x+b)*(128*a^4*x^4+64*a^3*b*x^3-16*a^2*b^2*x^2+8*a*b^3*x-5*b^4)/x^5/b^5/((a*x+b)/x)^(3/2)","A"
1741,1,77,98,0.005000," ","int(1/(a+b/x)^(3/2)/x^7,x)","-\frac{2 \left(a x +b \right) \left(256 a^{5} x^{5}+128 a^{4} b \,x^{4}-32 a^{3} b^{2} x^{3}+16 a^{2} b^{3} x^{2}-10 a \,b^{4} x +7 b^{5}\right)}{63 \left(\frac{a x +b}{x}\right)^{\frac{3}{2}} b^{6} x^{6}}"," ",0,"-2/63*(a*x+b)*(256*a^5*x^5+128*a^4*b*x^4-32*a^3*b^2*x^3+16*a^2*b^3*x^2-10*a*b^4*x+7*b^5)/x^6/b^6/((a*x+b)/x)^(3/2)","A"
1742,1,616,110,0.015000," ","int(x^2/(a+b/x)^(5/2),x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(-336 a^{4} b^{3} x^{3} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+21 a^{4} b^{3} x^{3} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-84 \sqrt{a \,x^{2}+b x}\, a^{\frac{11}{2}} b \,x^{4}-1008 a^{3} b^{4} x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+63 a^{3} b^{4} x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-294 \sqrt{a \,x^{2}+b x}\, a^{\frac{9}{2}} b^{2} x^{3}+672 \sqrt{\left(a x +b \right) x}\, a^{\frac{9}{2}} b^{2} x^{3}-1008 a^{2} b^{5} x \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+63 a^{2} b^{5} x \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+16 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{11}{2}} x^{3}-378 \sqrt{a \,x^{2}+b x}\, a^{\frac{7}{2}} b^{3} x^{2}+2016 \sqrt{\left(a x +b \right) x}\, a^{\frac{7}{2}} b^{3} x^{2}-336 a \,b^{6} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+21 a \,b^{6} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+48 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{9}{2}} b \,x^{2}-210 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} b^{4} x +2016 \sqrt{\left(a x +b \right) x}\, a^{\frac{5}{2}} b^{4} x +48 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{7}{2}} b^{2} x -384 \left(\left(a x +b \right) x \right)^{\frac{3}{2}} a^{\frac{7}{2}} b^{2} x -42 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b^{5}+672 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}} b^{5}+16 \left(a \,x^{2}+b x \right)^{\frac{3}{2}} a^{\frac{5}{2}} b^{3}-352 \left(\left(a x +b \right) x \right)^{\frac{3}{2}} a^{\frac{5}{2}} b^{3}\right) x}{48 \sqrt{\left(a x +b \right) x}\, \left(a x +b \right)^{3} a^{\frac{13}{2}}}"," ",0,"1/48*((a*x+b)/x)^(1/2)*x/a^(13/2)*(16*(a*x^2+b*x)^(3/2)*a^(11/2)*x^3-84*(a*x^2+b*x)^(1/2)*a^(11/2)*x^4*b+48*(a*x^2+b*x)^(3/2)*a^(9/2)*x^2*b-294*(a*x^2+b*x)^(1/2)*a^(9/2)*x^3*b^2+672*a^(9/2)*((a*x+b)*x)^(1/2)*x^3*b^2-336*a^4*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*x^3*b^3+48*(a*x^2+b*x)^(3/2)*a^(7/2)*x*b^2-378*(a*x^2+b*x)^(1/2)*a^(7/2)*x^2*b^3-384*a^(7/2)*((a*x+b)*x)^(3/2)*x*b^2+2016*a^(7/2)*((a*x+b)*x)^(1/2)*x^2*b^3-1008*a^3*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*x^2*b^4+21*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*x^3*a^4*b^3+16*(a*x^2+b*x)^(3/2)*a^(5/2)*b^3-210*(a*x^2+b*x)^(1/2)*a^(5/2)*x*b^4-352*b^3*a^(5/2)*((a*x+b)*x)^(3/2)+2016*a^(5/2)*((a*x+b)*x)^(1/2)*x*b^4-1008*a^2*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*x*b^5+63*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*x^2*a^3*b^4-42*(a*x^2+b*x)^(1/2)*a^(3/2)*b^5+672*a^(3/2)*((a*x+b)*x)^(1/2)*b^5-336*a*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*b^6+63*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*x*a^2*b^5+21*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*a*b^6)/((a*x+b)*x)^(1/2)/(a*x+b)^3","B"
1743,1,531,90,0.011000," ","int(x/(a+b/x)^(5/2),x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(108 a^{4} b^{2} x^{3} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-3 a^{4} b^{2} x^{3} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+12 \sqrt{a \,x^{2}+b x}\, a^{\frac{11}{2}} x^{4}+324 a^{3} b^{3} x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-9 a^{3} b^{3} x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+42 \sqrt{a \,x^{2}+b x}\, a^{\frac{9}{2}} b \,x^{3}-216 \sqrt{\left(a x +b \right) x}\, a^{\frac{9}{2}} b \,x^{3}+324 a^{2} b^{4} x \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-9 a^{2} b^{4} x \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+54 \sqrt{a \,x^{2}+b x}\, a^{\frac{7}{2}} b^{2} x^{2}-648 \sqrt{\left(a x +b \right) x}\, a^{\frac{7}{2}} b^{2} x^{2}+108 a \,b^{5} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-3 a \,b^{5} \ln \left(\frac{2 a x +b +2 \sqrt{a \,x^{2}+b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+30 \sqrt{a \,x^{2}+b x}\, a^{\frac{5}{2}} b^{3} x -648 \sqrt{\left(a x +b \right) x}\, a^{\frac{5}{2}} b^{3} x +144 \left(\left(a x +b \right) x \right)^{\frac{3}{2}} a^{\frac{7}{2}} b x +6 \sqrt{a \,x^{2}+b x}\, a^{\frac{3}{2}} b^{4}-216 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}} b^{4}+128 \left(\left(a x +b \right) x \right)^{\frac{3}{2}} a^{\frac{5}{2}} b^{2}\right) x}{24 \sqrt{\left(a x +b \right) x}\, \left(a x +b \right)^{3} a^{\frac{11}{2}}}"," ",0,"1/24*((a*x+b)/x)^(1/2)*x/a^(11/2)*(12*(a*x^2+b*x)^(1/2)*a^(11/2)*x^4+42*(a*x^2+b*x)^(1/2)*a^(9/2)*b*x^3-216*a^(9/2)*((a*x+b)*x)^(1/2)*x^3*b+108*a^4*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*x^3*b^2+54*(a*x^2+b*x)^(1/2)*a^(7/2)*b^2*x^2+144*a^(7/2)*((a*x+b)*x)^(3/2)*x*b-648*((a*x+b)*x)^(1/2)*a^(7/2)*b^2*x^2+324*a^3*b^3*x^2*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))-3*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))*x^3*a^4*b^2+30*(a*x^2+b*x)^(1/2)*a^(5/2)*b^3*x+128*((a*x+b)*x)^(3/2)*a^(5/2)*b^2-648*((a*x+b)*x)^(1/2)*a^(5/2)*b^3*x+324*a^2*b^4*x*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))-9*a^3*b^3*x^2*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))+6*(a*x^2+b*x)^(1/2)*a^(3/2)*b^4-216*((a*x+b)*x)^(1/2)*a^(3/2)*b^4+108*a*b^5*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))-9*a^2*b^4*x*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2))-3*a*b^5*ln(1/2*(2*a*x+b+2*(a*x^2+b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a*x+b)*x)^(1/2)/(a*x+b)^3","B"
1744,1,271,65,0.010000," ","int(1/(a+b/x)^(5/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(15 a^{3} b \,x^{3} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+45 a^{2} b^{2} x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-30 \sqrt{\left(a x +b \right) x}\, a^{\frac{7}{2}} x^{3}+45 a \,b^{3} x \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-90 \sqrt{\left(a x +b \right) x}\, a^{\frac{5}{2}} b \,x^{2}+15 b^{4} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-90 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}} b^{2} x +24 \left(\left(a x +b \right) x \right)^{\frac{3}{2}} a^{\frac{5}{2}} x -30 \sqrt{\left(a x +b \right) x}\, \sqrt{a}\, b^{3}+20 \left(\left(a x +b \right) x \right)^{\frac{3}{2}} a^{\frac{3}{2}} b \right) x}{6 \sqrt{\left(a x +b \right) x}\, \left(a x +b \right)^{3} a^{\frac{7}{2}}}"," ",0,"-1/6*((a*x+b)/x)^(1/2)*x/a^(7/2)*(-30*((a*x+b)*x)^(1/2)*a^(7/2)*x^3+15*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*x^3*a^3*b+24*((a*x+b)*x)^(3/2)*a^(5/2)*x-90*((a*x+b)*x)^(1/2)*a^(5/2)*x^2*b+45*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*x^2*a^2*b^2+20*b*a^(3/2)*((a*x+b)*x)^(3/2)-90*((a*x+b)*x)^(1/2)*a^(3/2)*x*b^2+45*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*x*a*b^3-30*((a*x+b)*x)^(1/2)*a^(1/2)*b^3+15*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))*b^4)/((a*x+b)*x)^(1/2)/(a*x+b)^3","B"
1745,1,274,48,0.010000," ","int(1/(a+b/x)^(5/2)/x,x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(3 a^{3} b \,x^{3} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+9 a^{2} b^{2} x^{2} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-6 \sqrt{\left(a x +b \right) x}\, a^{\frac{7}{2}} x^{3}+9 a \,b^{3} x \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-18 \sqrt{\left(a x +b \right) x}\, a^{\frac{5}{2}} b \,x^{2}+3 b^{4} \ln \left(\frac{2 a x +b +2 \sqrt{\left(a x +b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)-18 \sqrt{\left(a x +b \right) x}\, a^{\frac{3}{2}} b^{2} x +6 \left(\left(a x +b \right) x \right)^{\frac{3}{2}} a^{\frac{5}{2}} x -6 \sqrt{\left(a x +b \right) x}\, \sqrt{a}\, b^{3}+4 \left(\left(a x +b \right) x \right)^{\frac{3}{2}} a^{\frac{3}{2}} b \right) x}{3 \sqrt{\left(a x +b \right) x}\, \left(a x +b \right)^{3} a^{\frac{5}{2}} b}"," ",0,"1/3*((a*x+b)/x)^(1/2)*x/a^(5/2)*(3*a^3*b*x^3*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))-6*((a*x+b)*x)^(1/2)*a^(7/2)*x^3+9*a^2*b^2*x^2*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))+6*((a*x+b)*x)^(3/2)*a^(5/2)*x-18*((a*x+b)*x)^(1/2)*a^(5/2)*b*x^2+9*a*b^3*x*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))+4*((a*x+b)*x)^(3/2)*a^(3/2)*b-18*((a*x+b)*x)^(1/2)*a^(3/2)*b^2*x+3*b^4*ln(1/2*(2*a*x+b+2*((a*x+b)*x)^(1/2)*a^(1/2))/a^(1/2))-6*((a*x+b)*x)^(1/2)*a^(1/2)*b^3)/((a*x+b)*x)^(1/2)/(a*x+b)^3/b","B"
1746,1,25,14,0.005000," ","int(1/(a+b/x)^(5/2)/x^2,x)","\frac{\frac{2 a x}{3}+\frac{2 b}{3}}{\left(\frac{a x +b}{x}\right)^{\frac{5}{2}} b x}"," ",0,"2/3*(a*x+b)/x/b/((a*x+b)/x)^(5/2)","A"
1747,1,33,30,0.005000," ","int(1/(a+b/x)^(5/2)/x^3,x)","\frac{2 \left(a x +b \right) \left(2 a x +3 b \right)}{3 \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} b^{2} x^{2}}"," ",0,"2/3*(a*x+b)*(2*a*x+3*b)/x^2/b^2/((a*x+b)/x)^(5/2)","A"
1748,1,44,47,0.006000," ","int(1/(a+b/x)^(5/2)/x^4,x)","-\frac{2 \left(a x +b \right) \left(8 a^{2} x^{2}+12 a b x +3 b^{2}\right)}{3 \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} b^{3} x^{3}}"," ",0,"-2/3*(a*x+b)*(8*a^2*x^2+12*a*b*x+3*b^2)/x^3/b^3/((a*x+b)/x)^(5/2)","A"
1749,1,55,64,0.007000," ","int(1/(a+b/x)^(5/2)/x^5,x)","\frac{2 \left(a x +b \right) \left(16 a^{3} x^{3}+24 a^{2} b \,x^{2}+6 a \,b^{2} x -b^{3}\right)}{3 \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} b^{4} x^{4}}"," ",0,"2/3*(a*x+b)*(16*a^3*x^3+24*a^2*b*x^2+6*a*b^2*x-b^3)/x^4/b^4/((a*x+b)/x)^(5/2)","A"
1750,1,66,81,0.007000," ","int(1/(a+b/x)^(5/2)/x^6,x)","-\frac{2 \left(a x +b \right) \left(128 a^{4} x^{4}+192 a^{3} x^{3} b +48 a^{2} x^{2} b^{2}-8 a x \,b^{3}+3 b^{4}\right)}{15 \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} b^{5} x^{5}}"," ",0,"-2/15*(a*x+b)*(128*a^4*x^4+192*a^3*b*x^3+48*a^2*b^2*x^2-8*a*b^3*x+3*b^4)/x^5/b^5/((a*x+b)/x)^(5/2)","A"
1751,1,77,98,0.006000," ","int(1/(a+b/x)^(5/2)/x^7,x)","\frac{2 \left(a x +b \right) \left(256 a^{5} x^{5}+384 a^{4} b \,x^{4}+96 a^{3} b^{2} x^{3}-16 a^{2} b^{3} x^{2}+6 a \,b^{4} x -3 b^{5}\right)}{21 \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} b^{6} x^{6}}"," ",0,"2/21*(a*x+b)*(256*a^5*x^5+384*a^4*b*x^4+96*a^3*b^2*x^3-16*a^2*b^3*x^2+6*a*b^4*x-3*b^5)/x^6/b^6/((a*x+b)/x)^(5/2)","A"
1752,1,55,76,0.006000," ","int((a+b/x)^(1/2)*x^(7/2),x)","\frac{2 \left(a x +b \right) \left(35 a^{3} x^{3}-30 a^{2} b \,x^{2}+24 a \,b^{2} x -16 b^{3}\right) \sqrt{\frac{a x +b}{x}}\, \sqrt{x}}{315 a^{4}}"," ",0,"2/315*(a*x+b)*(35*a^3*x^3-30*a^2*b*x^2+24*a*b^2*x-16*b^3)*x^(1/2)*((a*x+b)/x)^(1/2)/a^4","A"
1753,1,44,56,0.005000," ","int((a+b/x)^(1/2)*x^(5/2),x)","\frac{2 \left(a x +b \right) \left(15 a^{2} x^{2}-12 a b x +8 b^{2}\right) \sqrt{\frac{a x +b}{x}}\, \sqrt{x}}{105 a^{3}}"," ",0,"2/105*(a*x+b)*(15*a^2*x^2-12*a*b*x+8*b^2)*x^(1/2)*((a*x+b)/x)^(1/2)/a^3","A"
1754,1,33,36,0.004000," ","int((a+b/x)^(1/2)*x^(3/2),x)","\frac{2 \left(a x +b \right) \left(3 a x -2 b \right) \sqrt{\frac{a x +b}{x}}\, \sqrt{x}}{15 a^{2}}"," ",0,"2/15*(a*x+b)*(3*a*x-2*b)*x^(1/2)*((a*x+b)/x)^(1/2)/a^2","A"
1755,1,25,17,0.003000," ","int((a+b/x)^(1/2)*x^(1/2),x)","\frac{2 \left(a x +b \right) \sqrt{\frac{a x +b}{x}}\, \sqrt{x}}{3 a}"," ",0,"2/3*(a*x+b)*((a*x+b)/x)^(1/2)*x^(1/2)/a","A"
1756,1,50,37,0.011000," ","int((a+b/x)^(1/2)/x^(1/2),x)","-\frac{2 \sqrt{\frac{a x +b}{x}}\, \left(\sqrt{b}\, \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-\sqrt{a x +b}\right) \sqrt{x}}{\sqrt{a x +b}}"," ",0,"-2*((a*x+b)/x)^(1/2)*x^(1/2)*(b^(1/2)*arctanh((a*x+b)^(1/2)/b^(1/2))-(a*x+b)^(1/2))/(a*x+b)^(1/2)","A"
1757,1,54,38,0.015000," ","int((a+b/x)^(1/2)/x^(3/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(a x \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)+\sqrt{a x +b}\, \sqrt{b}\right)}{\sqrt{a x +b}\, \sqrt{b}\, \sqrt{x}}"," ",0,"-((a*x+b)/x)^(1/2)*(arctanh((a*x+b)^(1/2)/b^(1/2))*x*a+(a*x+b)^(1/2)*b^(1/2))/x^(1/2)/(a*x+b)^(1/2)/b^(1/2)","A"
1758,1,73,58,0.017000," ","int((a+b/x)^(1/2)/x^(5/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-a^{2} x^{2} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)+\sqrt{a x +b}\, a \sqrt{b}\, x +2 \sqrt{a x +b}\, b^{\frac{3}{2}}\right)}{4 \sqrt{a x +b}\, b^{\frac{3}{2}} x^{\frac{3}{2}}}"," ",0,"-1/4*((a*x+b)/x)^(1/2)*(-arctanh((a*x+b)^(1/2)/b^(1/2))*a^2*x^2+2*b^(3/2)*(a*x+b)^(1/2)+x*a*(a*x+b)^(1/2)*b^(1/2))/x^(3/2)/b^(3/2)/(a*x+b)^(1/2)","A"
1759,1,92,78,0.016000," ","int((a+b/x)^(1/2)/x^(7/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(3 a^{3} x^{3} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-3 \sqrt{a x +b}\, a^{2} \sqrt{b}\, x^{2}+2 \sqrt{a x +b}\, a \,b^{\frac{3}{2}} x +8 \sqrt{a x +b}\, b^{\frac{5}{2}}\right)}{24 \sqrt{a x +b}\, b^{\frac{5}{2}} x^{\frac{5}{2}}}"," ",0,"-1/24*((a*x+b)/x)^(1/2)/x^(5/2)/b^(5/2)*(3*arctanh((a*x+b)^(1/2)/b^(1/2))*x^3*a^3-3*x^2*a^2*b^(1/2)*(a*x+b)^(1/2)+2*x*a*b^(3/2)*(a*x+b)^(1/2)+8*b^(5/2)*(a*x+b)^(1/2))/(a*x+b)^(1/2)","A"
1760,1,55,76,0.004000," ","int((a+b/x)^(3/2)*x^(9/2),x)","\frac{2 \left(a x +b \right) \left(105 a^{3} x^{3}-70 a^{2} b \,x^{2}+40 a \,b^{2} x -16 b^{3}\right) \left(\frac{a x +b}{x}\right)^{\frac{3}{2}} x^{\frac{3}{2}}}{1155 a^{4}}"," ",0,"2/1155*(a*x+b)*(105*a^3*x^3-70*a^2*b*x^2+40*a*b^2*x-16*b^3)*x^(3/2)*((a*x+b)/x)^(3/2)/a^4","A"
1761,1,44,56,0.005000," ","int((a+b/x)^(3/2)*x^(7/2),x)","\frac{2 \left(a x +b \right) \left(35 a^{2} x^{2}-20 a b x +8 b^{2}\right) \left(\frac{a x +b}{x}\right)^{\frac{3}{2}} x^{\frac{3}{2}}}{315 a^{3}}"," ",0,"2/315*(a*x+b)*(35*a^2*x^2-20*a*b*x+8*b^2)*x^(3/2)*((a*x+b)/x)^(3/2)/a^3","A"
1762,1,33,36,0.004000," ","int((a+b/x)^(3/2)*x^(5/2),x)","\frac{2 \left(a x +b \right) \left(5 a x -2 b \right) \left(\frac{a x +b}{x}\right)^{\frac{3}{2}} x^{\frac{3}{2}}}{35 a^{2}}"," ",0,"2/35*(a*x+b)*(5*a*x-2*b)*x^(3/2)*((a*x+b)/x)^(3/2)/a^2","A"
1763,1,25,17,0.002000," ","int((a+b/x)^(3/2)*x^(3/2),x)","\frac{2 \left(a x +b \right) \left(\frac{a x +b}{x}\right)^{\frac{3}{2}} x^{\frac{3}{2}}}{5 a}"," ",0,"2/5*(a*x+b)*((a*x+b)/x)^(3/2)*x^(3/2)/a","A"
1764,1,63,52,0.011000," ","int((a+b/x)^(3/2)*x^(1/2),x)","-\frac{2 \sqrt{\frac{a x +b}{x}}\, \left(3 b^{\frac{3}{2}} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-\sqrt{a x +b}\, a x -4 \sqrt{a x +b}\, b \right) \sqrt{x}}{3 \sqrt{a x +b}}"," ",0,"-2/3*((a*x+b)/x)^(1/2)*x^(1/2)*(3*b^(3/2)*arctanh((a*x+b)^(1/2)/b^(1/2))-x*a*(a*x+b)^(1/2)-4*(a*x+b)^(1/2)*b)/(a*x+b)^(1/2)","A"
1765,1,70,53,0.018000," ","int((a+b/x)^(3/2)/x^(1/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(3 a b x \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-2 \sqrt{a x +b}\, a \sqrt{b}\, x +\sqrt{a x +b}\, b^{\frac{3}{2}}\right)}{\sqrt{a x +b}\, \sqrt{b}\, \sqrt{x}}"," ",0,"-((a*x+b)/x)^(1/2)*((a*x+b)^(1/2)*b^(3/2)-2*(a*x+b)^(1/2)*a*b^(1/2)*x+3*arctanh((a*x+b)^(1/2)/b^(1/2))*x*a*b)/x^(1/2)/(a*x+b)^(1/2)/b^(1/2)","A"
1766,1,74,55,0.016000," ","int((a+b/x)^(3/2)/x^(3/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(3 a^{2} x^{2} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)+5 \sqrt{a x +b}\, a \sqrt{b}\, x +2 \sqrt{a x +b}\, b^{\frac{3}{2}}\right)}{4 \sqrt{a x +b}\, \sqrt{b}\, x^{\frac{3}{2}}}"," ",0,"-1/4*((a*x+b)/x)^(1/2)/x^(3/2)*(3*arctanh((a*x+b)^(1/2)/b^(1/2))*a^2*x^2+5*(a*x+b)^(1/2)*a*b^(1/2)*x+2*(a*x+b)^(1/2)*b^(3/2))/(a*x+b)^(1/2)/b^(1/2)","A"
1767,1,92,75,0.018000," ","int((a+b/x)^(3/2)/x^(5/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-3 a^{3} x^{3} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)+3 \sqrt{a x +b}\, a^{2} \sqrt{b}\, x^{2}+14 \sqrt{a x +b}\, a \,b^{\frac{3}{2}} x +8 \sqrt{a x +b}\, b^{\frac{5}{2}}\right)}{24 \sqrt{a x +b}\, b^{\frac{3}{2}} x^{\frac{5}{2}}}"," ",0,"-1/24*((a*x+b)/x)^(1/2)*(-3*arctanh((a*x+b)^(1/2)/b^(1/2))*x^3*a^3+8*(a*x+b)^(1/2)*b^(5/2)+14*(a*x+b)^(1/2)*a*b^(3/2)*x+3*(a*x+b)^(1/2)*a^2*b^(1/2)*x^2)/x^(5/2)/b^(3/2)/(a*x+b)^(1/2)","A"
1768,1,55,76,0.006000," ","int((a+b/x)^(5/2)*x^(11/2),x)","\frac{2 \left(a x +b \right) \left(231 a^{3} x^{3}-126 a^{2} b \,x^{2}+56 a \,b^{2} x -16 b^{3}\right) \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} x^{\frac{5}{2}}}{3003 a^{4}}"," ",0,"2/3003*(a*x+b)*(231*a^3*x^3-126*a^2*b*x^2+56*a*b^2*x-16*b^3)*x^(5/2)*((a*x+b)/x)^(5/2)/a^4","A"
1769,1,44,56,0.004000," ","int((a+b/x)^(5/2)*x^(9/2),x)","\frac{2 \left(a x +b \right) \left(63 a^{2} x^{2}-28 a b x +8 b^{2}\right) \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} x^{\frac{5}{2}}}{693 a^{3}}"," ",0,"2/693*(a*x+b)*(63*a^2*x^2-28*a*b*x+8*b^2)*x^(5/2)*((a*x+b)/x)^(5/2)/a^3","A"
1770,1,33,36,0.003000," ","int((a+b/x)^(5/2)*x^(7/2),x)","\frac{2 \left(a x +b \right) \left(7 a x -2 b \right) \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} x^{\frac{5}{2}}}{63 a^{2}}"," ",0,"2/63*(a*x+b)*(7*a*x-2*b)*x^(5/2)*((a*x+b)/x)^(5/2)/a^2","A"
1771,1,25,17,0.003000," ","int((a+b/x)^(5/2)*x^(5/2),x)","\frac{2 \left(a x +b \right) \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} x^{\frac{5}{2}}}{7 a}"," ",0,"2/7*(a*x+b)*((a*x+b)/x)^(5/2)*x^(5/2)/a","A"
1772,1,81,69,0.011000," ","int((a+b/x)^(5/2)*x^(3/2),x)","-\frac{2 \sqrt{\frac{a x +b}{x}}\, \left(-3 \sqrt{a x +b}\, a^{2} x^{2}+15 b^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-11 \sqrt{a x +b}\, a b x -23 \sqrt{a x +b}\, b^{2}\right) \sqrt{x}}{15 \sqrt{a x +b}}"," ",0,"-2/15*((a*x+b)/x)^(1/2)*x^(1/2)*(-3*x^2*a^2*(a*x+b)^(1/2)+15*b^(5/2)*arctanh((a*x+b)^(1/2)/b^(1/2))-11*x*a*b*(a*x+b)^(1/2)-23*(a*x+b)^(1/2)*b^2)/(a*x+b)^(1/2)","A"
1773,1,91,70,0.016000," ","int((a+b/x)^(5/2)*x^(1/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(15 a \,b^{2} x \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-2 \sqrt{a x +b}\, a^{2} \sqrt{b}\, x^{2}-14 \sqrt{a x +b}\, a \,b^{\frac{3}{2}} x +3 \sqrt{a x +b}\, b^{\frac{5}{2}}\right)}{3 \sqrt{a x +b}\, \sqrt{b}\, \sqrt{x}}"," ",0,"-1/3*((a*x+b)/x)^(1/2)/x^(1/2)*(-2*(a*x+b)^(1/2)*a^2*b^(1/2)*x^2+15*arctanh((a*x+b)^(1/2)/b^(1/2))*x*a*b^2-14*(a*x+b)^(1/2)*a*b^(3/2)*x+3*(a*x+b)^(1/2)*b^(5/2))/(a*x+b)^(1/2)/b^(1/2)","A"
1774,1,93,71,0.016000," ","int((a+b/x)^(5/2)/x^(1/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(15 a^{2} b \,x^{2} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-8 \sqrt{a x +b}\, a^{2} \sqrt{b}\, x^{2}+9 \sqrt{a x +b}\, a \,b^{\frac{3}{2}} x +2 \sqrt{a x +b}\, b^{\frac{5}{2}}\right)}{4 \sqrt{a x +b}\, \sqrt{b}\, x^{\frac{3}{2}}}"," ",0,"-1/4*((a*x+b)/x)^(1/2)/x^(3/2)*(15*arctanh((a*x+b)^(1/2)/b^(1/2))*a^2*b*x^2-8*(a*x+b)^(1/2)*a^2*b^(1/2)*x^2+9*(a*x+b)^(1/2)*a*b^(3/2)*x+2*(a*x+b)^(1/2)*b^(5/2))/(a*x+b)^(1/2)/b^(1/2)","A"
1775,1,92,72,0.018000," ","int((a+b/x)^(5/2)/x^(3/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(15 a^{3} x^{3} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)+33 \sqrt{a x +b}\, a^{2} \sqrt{b}\, x^{2}+26 \sqrt{a x +b}\, a \,b^{\frac{3}{2}} x +8 \sqrt{a x +b}\, b^{\frac{5}{2}}\right)}{24 \sqrt{a x +b}\, \sqrt{b}\, x^{\frac{5}{2}}}"," ",0,"-1/24*((a*x+b)/x)^(1/2)/x^(5/2)*(15*arctanh((a*x+b)^(1/2)/b^(1/2))*x^3*a^3+33*(a*x+b)^(1/2)*a^2*b^(1/2)*x^2+26*(a*x+b)^(1/2)*a*b^(3/2)*x+8*(a*x+b)^(1/2)*b^(5/2))/(a*x+b)^(1/2)/b^(1/2)","A"
1776,1,110,92,0.019000," ","int((a+b/x)^(5/2)/x^(5/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-15 a^{4} x^{4} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)+15 \sqrt{a x +b}\, a^{3} \sqrt{b}\, x^{3}+118 \sqrt{a x +b}\, a^{2} b^{\frac{3}{2}} x^{2}+136 \sqrt{a x +b}\, a \,b^{\frac{5}{2}} x +48 \sqrt{a x +b}\, b^{\frac{7}{2}}\right)}{192 \sqrt{a x +b}\, b^{\frac{3}{2}} x^{\frac{7}{2}}}"," ",0,"-1/192*((a*x+b)/x)^(1/2)*(-15*arctanh((a*x+b)^(1/2)/b^(1/2))*x^4*a^4+48*b^(7/2)*(a*x+b)^(1/2)+136*x*a*b^(5/2)*(a*x+b)^(1/2)+118*x^2*a^2*b^(3/2)*(a*x+b)^(1/2)+15*x^3*a^3*b^(1/2)*(a*x+b)^(1/2))/x^(7/2)/b^(3/2)/(a*x+b)^(1/2)","A"
1777,1,66,96,0.007000," ","int(x^(7/2)/(a+b/x)^(1/2),x)","\frac{2 \left(a x +b \right) \left(35 a^{4} x^{4}-40 a^{3} x^{3} b +48 a^{2} x^{2} b^{2}-64 a x \,b^{3}+128 b^{4}\right)}{315 \sqrt{\frac{a x +b}{x}}\, a^{5} \sqrt{x}}"," ",0,"2/315*(a*x+b)*(35*a^4*x^4-40*a^3*b*x^3+48*a^2*b^2*x^2-64*a*b^3*x+128*b^4)/a^5/x^(1/2)/((a*x+b)/x)^(1/2)","A"
1778,1,55,76,0.005000," ","int(x^(5/2)/(a+b/x)^(1/2),x)","\frac{2 \left(a x +b \right) \left(5 a^{3} x^{3}-6 a^{2} b \,x^{2}+8 a \,b^{2} x -16 b^{3}\right)}{35 \sqrt{\frac{a x +b}{x}}\, a^{4} \sqrt{x}}"," ",0,"2/35*(a*x+b)*(5*a^3*x^3-6*a^2*b*x^2+8*a*b^2*x-16*b^3)/a^4/x^(1/2)/((a*x+b)/x)^(1/2)","A"
1779,1,44,56,0.005000," ","int(x^(3/2)/(a+b/x)^(1/2),x)","\frac{2 \left(a x +b \right) \left(3 a^{2} x^{2}-4 a b x +8 b^{2}\right)}{15 \sqrt{\frac{a x +b}{x}}\, a^{3} \sqrt{x}}"," ",0,"2/15*(a*x+b)*(3*a^2*x^2-4*a*b*x+8*b^2)/a^3/x^(1/2)/((a*x+b)/x)^(1/2)","A"
1780,1,32,36,0.004000," ","int(x^(1/2)/(a+b/x)^(1/2),x)","\frac{2 \left(a x +b \right) \left(a x -2 b \right)}{3 \sqrt{\frac{a x +b}{x}}\, a^{2} \sqrt{x}}"," ",0,"2/3*(a*x+b)*(a*x-2*b)/a^2/x^(1/2)/((a*x+b)/x)^(1/2)","A"
1781,1,25,17,0.003000," ","int(1/(a+b/x)^(1/2)/x^(1/2),x)","\frac{2 a x +2 b}{a \sqrt{\frac{a x +b}{x}}\, \sqrt{x}}"," ",0,"2*(a*x+b)/a/((a*x+b)/x)^(1/2)/x^(1/2)","A"
1782,1,39,22,0.010000," ","int(1/(a+b/x)^(1/2)/x^(3/2),x)","-\frac{2 \sqrt{\frac{a x +b}{x}}\, \sqrt{x}\, \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)}{\sqrt{a x +b}\, \sqrt{b}}"," ",0,"-2*((a*x+b)/x)^(1/2)*x^(1/2)/(a*x+b)^(1/2)/b^(1/2)*arctanh((a*x+b)^(1/2)/b^(1/2))","A"
1783,1,55,40,0.013000," ","int(1/(a+b/x)^(1/2)/x^(5/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-a x \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)+\sqrt{a x +b}\, \sqrt{b}\right)}{\sqrt{a x +b}\, b^{\frac{3}{2}} \sqrt{x}}"," ",0,"-((a*x+b)/x)^(1/2)*(-arctanh((a*x+b)^(1/2)/b^(1/2))*x*a+(a*x+b)^(1/2)*b^(1/2))/x^(1/2)/b^(3/2)/(a*x+b)^(1/2)","A"
1784,1,74,61,0.013000," ","int(1/(a+b/x)^(1/2)/x^(7/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(3 a^{2} x^{2} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-3 \sqrt{a x +b}\, a \sqrt{b}\, x +2 \sqrt{a x +b}\, b^{\frac{3}{2}}\right)}{4 \sqrt{a x +b}\, b^{\frac{5}{2}} x^{\frac{3}{2}}}"," ",0,"-1/4*((a*x+b)/x)^(1/2)/x^(3/2)/b^(5/2)*(3*arctanh((a*x+b)^(1/2)/b^(1/2))*a^2*x^2-3*(a*x+b)^(1/2)*a*b^(1/2)*x+2*(a*x+b)^(1/2)*b^(3/2))/(a*x+b)^(1/2)","A"
1785,1,92,81,0.012000," ","int(1/(a+b/x)^(1/2)/x^(9/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-15 a^{3} x^{3} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)+15 \sqrt{a x +b}\, a^{2} \sqrt{b}\, x^{2}-10 \sqrt{a x +b}\, a \,b^{\frac{3}{2}} x +8 \sqrt{a x +b}\, b^{\frac{5}{2}}\right)}{24 \sqrt{a x +b}\, b^{\frac{7}{2}} x^{\frac{5}{2}}}"," ",0,"-1/24*((a*x+b)/x)^(1/2)*(-15*arctanh((a*x+b)^(1/2)/b^(1/2))*x^3*a^3+8*(a*x+b)^(1/2)*b^(5/2)-10*(a*x+b)^(1/2)*a*b^(3/2)*x+15*(a*x+b)^(1/2)*a^2*b^(1/2)*x^2)/x^(5/2)/b^(7/2)/(a*x+b)^(1/2)","A"
1786,1,66,96,0.006000," ","int(x^(5/2)/(a+b/x)^(3/2),x)","\frac{2 \left(a x +b \right) \left(5 a^{4} x^{4}-8 a^{3} x^{3} b +16 a^{2} x^{2} b^{2}-64 a x \,b^{3}-128 b^{4}\right)}{35 \left(\frac{a x +b}{x}\right)^{\frac{3}{2}} a^{5} x^{\frac{3}{2}}}"," ",0,"2/35*(a*x+b)*(5*a^4*x^4-8*a^3*b*x^3+16*a^2*b^2*x^2-64*a*b^3*x-128*b^4)/a^5/x^(3/2)/((a*x+b)/x)^(3/2)","A"
1787,1,54,76,0.006000," ","int(x^(3/2)/(a+b/x)^(3/2),x)","\frac{2 \left(a x +b \right) \left(a^{3} x^{3}-2 a^{2} b \,x^{2}+8 a \,b^{2} x +16 b^{3}\right)}{5 \left(\frac{a x +b}{x}\right)^{\frac{3}{2}} a^{4} x^{\frac{3}{2}}}"," ",0,"2/5*(a*x+b)*(a^3*x^3-2*a^2*b*x^2+8*a*b^2*x+16*b^3)/a^4/x^(3/2)/((a*x+b)/x)^(3/2)","A"
1788,1,43,56,0.006000," ","int(x^(1/2)/(a+b/x)^(3/2),x)","\frac{2 \left(a x +b \right) \left(a^{2} x^{2}-4 a b x -8 b^{2}\right)}{3 \left(\frac{a x +b}{x}\right)^{\frac{3}{2}} a^{3} x^{\frac{3}{2}}}"," ",0,"2/3*(a*x+b)*(a^2*x^2-4*a*b*x-8*b^2)/a^3/x^(3/2)/((a*x+b)/x)^(3/2)","A"
1789,1,32,36,0.005000," ","int(1/(a+b/x)^(3/2)/x^(1/2),x)","\frac{2 \left(a x +b \right) \left(a x +2 b \right)}{\left(\frac{a x +b}{x}\right)^{\frac{3}{2}} a^{2} x^{\frac{3}{2}}}"," ",0,"2*(a*x+b)*(a*x+2*b)/a^2/x^(3/2)/((a*x+b)/x)^(3/2)","A"
1790,1,25,17,0.003000," ","int(1/(a+b/x)^(3/2)/x^(3/2),x)","-\frac{2 \left(a x +b \right)}{\left(\frac{a x +b}{x}\right)^{\frac{3}{2}} a \,x^{\frac{3}{2}}}"," ",0,"-2*(a*x+b)/a/((a*x+b)/x)^(3/2)/x^(3/2)","A"
1791,1,52,40,0.013000," ","int(1/(a+b/x)^(3/2)/x^(5/2),x)","\frac{2 \sqrt{\frac{a x +b}{x}}\, \left(-\sqrt{a x +b}\, \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)+\sqrt{b}\right) \sqrt{x}}{\left(a x +b \right) b^{\frac{3}{2}}}"," ",0,"2*((a*x+b)/x)^(1/2)*x^(1/2)*(-arctanh((a*x+b)^(1/2)/b^(1/2))*(a*x+b)^(1/2)+b^(1/2))/b^(3/2)/(a*x+b)","A"
1792,1,61,58,0.021000," ","int(1/(a+b/x)^(3/2)/x^(7/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-3 \sqrt{a x +b}\, a x \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)+3 a \sqrt{b}\, x +b^{\frac{3}{2}}\right)}{\left(a x +b \right) b^{\frac{5}{2}} \sqrt{x}}"," ",0,"-((a*x+b)/x)^(1/2)*(-3*arctanh((a*x+b)^(1/2)/b^(1/2))*(a*x+b)^(1/2)*x*a+3*x*a*b^(1/2)+b^(3/2))/x^(1/2)/(a*x+b)/b^(5/2)","A"
1793,1,78,78,0.018000," ","int(1/(a+b/x)^(3/2)/x^(9/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(15 \sqrt{a x +b}\, a^{2} x^{2} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-15 a^{2} \sqrt{b}\, x^{2}-5 a \,b^{\frac{3}{2}} x +2 b^{\frac{5}{2}}\right)}{4 \left(a x +b \right) b^{\frac{7}{2}} x^{\frac{3}{2}}}"," ",0,"-1/4*((a*x+b)/x)^(1/2)/x^(3/2)*(15*arctanh((a*x+b)^(1/2)/b^(1/2))*(a*x+b)^(1/2)*x^2*a^2-5*b^(3/2)*x*a-15*a^2*x^2*b^(1/2)+2*b^(5/2))/(a*x+b)/b^(7/2)","A"
1794,1,89,98,0.019000," ","int(1/(a+b/x)^(3/2)/x^(11/2),x)","\frac{\sqrt{\frac{a x +b}{x}}\, \left(105 \sqrt{a x +b}\, a^{3} x^{3} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-105 a^{3} \sqrt{b}\, x^{3}-35 a^{2} b^{\frac{3}{2}} x^{2}+14 a \,b^{\frac{5}{2}} x -8 b^{\frac{7}{2}}\right)}{24 \left(a x +b \right) b^{\frac{9}{2}} x^{\frac{5}{2}}}"," ",0,"1/24*((a*x+b)/x)^(1/2)/x^(5/2)*(105*(a*x+b)^(1/2)*arctanh((a*x+b)^(1/2)/b^(1/2))*x^3*a^3+14*b^(5/2)*x*a-35*b^(3/2)*x^2*a^2-105*a^3*x^3*b^(1/2)-8*b^(7/2))/(a*x+b)/b^(9/2)","A"
1795,1,77,116,0.006000," ","int(x^(5/2)/(a+b/x)^(5/2),x)","\frac{2 \left(a x +b \right) \left(3 a^{5} x^{5}-6 a^{4} b \,x^{4}+16 a^{3} b^{2} x^{3}-96 a^{2} b^{3} x^{2}-384 a \,b^{4} x -256 b^{5}\right)}{21 \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} a^{6} x^{\frac{5}{2}}}"," ",0,"2/21*(a*x+b)*(3*a^5*x^5-6*a^4*b*x^4+16*a^3*b^2*x^3-96*a^2*b^3*x^2-384*a*b^4*x-256*b^5)/a^6/x^(5/2)/((a*x+b)/x)^(5/2)","A"
1796,1,66,96,0.005000," ","int(x^(3/2)/(a+b/x)^(5/2),x)","\frac{2 \left(a x +b \right) \left(3 a^{4} x^{4}-8 a^{3} x^{3} b +48 a^{2} x^{2} b^{2}+192 a x \,b^{3}+128 b^{4}\right)}{15 \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} a^{5} x^{\frac{5}{2}}}"," ",0,"2/15*(a*x+b)*(3*a^4*x^4-8*a^3*b*x^3+48*a^2*b^2*x^2+192*a*b^3*x+128*b^4)/a^5/x^(5/2)/((a*x+b)/x)^(5/2)","A"
1797,1,54,76,0.005000," ","int(x^(1/2)/(a+b/x)^(5/2),x)","\frac{2 \left(a x +b \right) \left(a^{3} x^{3}-6 a^{2} b \,x^{2}-24 a \,b^{2} x -16 b^{3}\right)}{3 \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} a^{4} x^{\frac{5}{2}}}"," ",0,"2/3*(a*x+b)*(a^3*x^3-6*a^2*b*x^2-24*a*b^2*x-16*b^3)/a^4/x^(5/2)/((a*x+b)/x)^(5/2)","A"
1798,1,44,56,0.007000," ","int(1/(a+b/x)^(5/2)/x^(1/2),x)","\frac{2 \left(a x +b \right) \left(3 a^{2} x^{2}+12 a b x +8 b^{2}\right)}{3 \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} a^{3} x^{\frac{5}{2}}}"," ",0,"2/3*(a*x+b)*(3*a^2*x^2+12*a*b*x+8*b^2)/a^3/x^(5/2)/((a*x+b)/x)^(5/2)","A"
1799,1,33,36,0.003000," ","int(1/(a+b/x)^(5/2)/x^(3/2),x)","-\frac{2 \left(a x +b \right) \left(3 a x +2 b \right)}{3 \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} a^{2} x^{\frac{5}{2}}}"," ",0,"-2/3*(a*x+b)*(3*a*x+2*b)/a^2/x^(5/2)/((a*x+b)/x)^(5/2)","A"
1800,1,25,17,0.003000," ","int(1/(a+b/x)^(5/2)/x^(5/2),x)","-\frac{2 \left(a x +b \right)}{3 \left(\frac{a x +b}{x}\right)^{\frac{5}{2}} a \,x^{\frac{5}{2}}}"," ",0,"-2/3*(a*x+b)/a/((a*x+b)/x)^(5/2)/x^(5/2)","A"
1801,1,85,57,0.017000," ","int(1/(a+b/x)^(5/2)/x^(7/2),x)","-\frac{2 \sqrt{\frac{a x +b}{x}}\, \left(3 \sqrt{a x +b}\, a x \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-3 a \sqrt{b}\, x +3 \sqrt{a x +b}\, b \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-4 b^{\frac{3}{2}}\right) \sqrt{x}}{3 \left(a x +b \right)^{2} b^{\frac{5}{2}}}"," ",0,"-2/3*((a*x+b)/x)^(1/2)*x^(1/2)/b^(5/2)*(3*arctanh((a*x+b)^(1/2)/b^(1/2))*(a*x+b)^(1/2)*x*a+3*arctanh((a*x+b)^(1/2)/b^(1/2))*b*(a*x+b)^(1/2)-3*a*b^(1/2)*x-4*b^(3/2))/(a*x+b)^2","A"
1802,1,102,75,0.020000," ","int(1/(a+b/x)^(5/2)/x^(9/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(-15 \sqrt{a x +b}\, a^{2} x^{2} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)+15 a^{2} \sqrt{b}\, x^{2}-15 \sqrt{a x +b}\, a b x \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)+20 a \,b^{\frac{3}{2}} x +3 b^{\frac{5}{2}}\right)}{3 \left(a x +b \right)^{2} b^{\frac{7}{2}} \sqrt{x}}"," ",0,"-1/3*((a*x+b)/x)^(1/2)*(-15*arctanh((a*x+b)^(1/2)/b^(1/2))*(a*x+b)^(1/2)*x^2*a^2+3*b^(5/2)+20*a*b^(3/2)*x+15*a^2*b^(1/2)*x^2-15*arctanh((a*x+b)^(1/2)/b^(1/2))*x*a*b*(a*x+b)^(1/2))/x^(1/2)/(a*x+b)^2/b^(7/2)","A"
1803,1,117,95,0.020000," ","int(1/(a+b/x)^(5/2)/x^(11/2),x)","-\frac{\sqrt{\frac{a x +b}{x}}\, \left(105 \sqrt{a x +b}\, a^{3} x^{3} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-105 a^{3} \sqrt{b}\, x^{3}+105 \sqrt{a x +b}\, a^{2} b \,x^{2} \arctanh \left(\frac{\sqrt{a x +b}}{\sqrt{b}}\right)-140 a^{2} b^{\frac{3}{2}} x^{2}-21 a \,b^{\frac{5}{2}} x +6 b^{\frac{7}{2}}\right)}{12 \left(a x +b \right)^{2} b^{\frac{9}{2}} x^{\frac{3}{2}}}"," ",0,"-1/12*((a*x+b)/x)^(1/2)/x^(3/2)*(105*(a*x+b)^(1/2)*arctanh((a*x+b)^(1/2)/b^(1/2))*x^3*a^3+105*arctanh((a*x+b)^(1/2)/b^(1/2))*x^2*a^2*b*(a*x+b)^(1/2)-105*a^3*b^(1/2)*x^3-140*a^2*b^(3/2)*x^2-21*a*b^(5/2)*x+6*b^(7/2))/(a*x+b)^2/b^(9/2)","A"
1804,1,14,13,0.001000," ","int((a+b/x^2)*x^6,x)","\frac{1}{7} a \,x^{7}+\frac{1}{5} b \,x^{5}"," ",0,"1/5*b*x^5+1/7*a*x^7","A"
1805,1,14,13,0.000000," ","int((a+b/x^2)*x^5,x)","\frac{1}{6} a \,x^{6}+\frac{1}{4} b \,x^{4}"," ",0,"1/4*b*x^4+1/6*a*x^6","A"
1806,1,14,13,0.001000," ","int((a+b/x^2)*x^4,x)","\frac{1}{5} a \,x^{5}+\frac{1}{3} b \,x^{3}"," ",0,"1/3*b*x^3+1/5*a*x^5","A"
1807,1,14,13,0.002000," ","int((a+b/x^2)*x^3,x)","\frac{1}{4} a \,x^{4}+\frac{1}{2} b \,x^{2}"," ",0,"1/2*b*x^2+1/4*a*x^4","A"
1808,1,11,10,0.001000," ","int((a+b/x^2)*x^2,x)","\frac{1}{3} a \,x^{3}+b x"," ",0,"b*x+1/3*a*x^3","A"
1809,1,12,11,0.002000," ","int((a+b/x^2)*x,x)","\frac{a \,x^{2}}{2}+b \ln \left(x \right)"," ",0,"1/2*a*x^2+b*ln(x)","A"
1810,1,11,10,0.001000," ","int(a+b/x^2,x)","a x -\frac{b}{x}"," ",0,"-b/x+a*x","A"
1811,1,12,11,0.004000," ","int((a+b/x^2)/x,x)","a \ln \left(x \right)-\frac{b}{2 x^{2}}"," ",0,"-1/2*b/x^2+a*ln(x)","A"
1812,1,14,13,0.006000," ","int((a+b/x^2)/x^2,x)","-\frac{a}{x}-\frac{b}{3 x^{3}}"," ",0,"-1/3*b/x^3-a/x","A"
1813,1,14,13,0.004000," ","int((a+b/x^2)/x^3,x)","-\frac{a}{2 x^{2}}-\frac{b}{4 x^{4}}"," ",0,"-1/4*b/x^4-1/2*a/x^2","A"
1814,1,14,13,0.006000," ","int((a+b/x^2)/x^4,x)","-\frac{a}{3 x^{3}}-\frac{b}{5 x^{5}}"," ",0,"-1/5*b/x^5-1/3*a/x^3","A"
1815,1,14,13,0.005000," ","int((a+b/x^2)/x^5,x)","-\frac{a}{4 x^{4}}-\frac{b}{6 x^{6}}"," ",0,"-1/6*b/x^6-1/4*a/x^4","A"
1816,1,14,13,0.006000," ","int((a+b/x^2)/x^6,x)","-\frac{a}{5 x^{5}}-\frac{b}{7 x^{7}}"," ",0,"-1/7*b/x^7-1/5*a/x^5","A"
1817,1,25,24,0.000000," ","int((a+b/x^2)^2*x^6,x)","\frac{1}{7} a^{2} x^{7}+\frac{2}{5} a b \,x^{5}+\frac{1}{3} b^{2} x^{3}"," ",0,"1/3*b^2*x^3+2/5*a*b*x^5+1/7*a^2*x^7","A"
1818,1,25,14,0.002000," ","int((a+b/x^2)^2*x^5,x)","\frac{1}{6} a^{2} x^{6}+\frac{1}{2} a b \,x^{4}+\frac{1}{2} b^{2} x^{2}"," ",0,"1/6*a^2*x^6+1/2*a*b*x^4+1/2*b^2*x^2","A"
1819,1,22,21,0.000000," ","int((a+b/x^2)^2*x^4,x)","\frac{1}{5} a^{2} x^{5}+\frac{2}{3} a b \,x^{3}+b^{2} x"," ",0,"b^2*x+2/3*a*b*x^3+1/5*a^2*x^5","A"
1820,1,22,21,0.002000," ","int((a+b/x^2)^2*x^3,x)","\frac{a^{2} x^{4}}{4}+a b \,x^{2}+b^{2} \ln \left(x \right)"," ",0,"a*b*x^2+1/4*a^2*x^4+b^2*ln(x)","A"
1821,1,23,22,0.003000," ","int((a+b/x^2)^2*x^2,x)","\frac{a^{2} x^{3}}{3}+2 a b x -\frac{b^{2}}{x}"," ",0,"-b^2/x+2*a*b*x+1/3*a^2*x^3","A"
1822,1,24,23,0.006000," ","int((a+b/x^2)^2*x,x)","\frac{a^{2} x^{2}}{2}+2 a b \ln \left(x \right)-\frac{b^{2}}{2 x^{2}}"," ",0,"-1/2*b^2/x^2+1/2*a^2*x^2+2*a*b*ln(x)","A"
1823,1,22,21,0.006000," ","int((a+b/x^2)^2,x)","a^{2} x -\frac{2 a b}{x}-\frac{b^{2}}{3 x^{3}}"," ",0,"-1/3*b^2/x^3-2*a*b/x+a^2*x","A"
1824,1,23,22,0.006000," ","int((a+b/x^2)^2/x,x)","a^{2} \ln \left(x \right)-\frac{a b}{x^{2}}-\frac{b^{2}}{4 x^{4}}"," ",0,"-1/4*b^2/x^4-a*b/x^2+a^2*ln(x)","A"
1825,1,25,24,0.006000," ","int((a+b/x^2)^2/x^2,x)","-\frac{a^{2}}{x}-\frac{2 a b}{3 x^{3}}-\frac{b^{2}}{5 x^{5}}"," ",0,"-1/5*b^2/x^5-2/3*a*b/x^3-a^2/x","A"
1826,1,25,14,0.005000," ","int((a+b/x^2)^2/x^3,x)","-\frac{a^{2}}{2 x^{2}}-\frac{a b}{2 x^{4}}-\frac{b^{2}}{6 x^{6}}"," ",0,"-1/2*a*b/x^4-1/2*a^2/x^2-1/6*b^2/x^6","A"
1827,1,25,24,0.005000," ","int((a+b/x^2)^2/x^4,x)","-\frac{a^{2}}{3 x^{3}}-\frac{2 a b}{5 x^{5}}-\frac{b^{2}}{7 x^{7}}"," ",0,"-1/7*b^2/x^7-2/5*a*b/x^5-1/3*a^2/x^3","A"
1828,1,25,24,0.005000," ","int((a+b/x^2)^2/x^5,x)","-\frac{a^{2}}{4 x^{4}}-\frac{a b}{3 x^{6}}-\frac{b^{2}}{8 x^{8}}"," ",0,"-1/8*b^2/x^8-1/3*a*b/x^6-1/4*a^2/x^4","A"
1829,1,25,24,0.005000," ","int((a+b/x^2)^2/x^6,x)","-\frac{a^{2}}{5 x^{5}}-\frac{2 a b}{7 x^{7}}-\frac{b^{2}}{9 x^{9}}"," ",0,"-1/9*b^2/x^9-2/7*a*b/x^7-1/5*a^2/x^5","A"
1830,1,32,31,0.001000," ","int((a+b/x^2)^3*x^6,x)","\frac{1}{7} a^{3} x^{7}+\frac{3}{5} a^{2} b \,x^{5}+a \,b^{2} x^{3}+b^{3} x"," ",0,"b^3*x+a*b^2*x^3+3/5*a^2*b*x^5+1/7*a^3*x^7","A"
1831,1,34,33,0.002000," ","int((a+b/x^2)^3*x^5,x)","\frac{a^{3} x^{6}}{6}+\frac{3 a^{2} b \,x^{4}}{4}+\frac{3 a \,b^{2} x^{2}}{2}+b^{3} \ln \left(x \right)"," ",0,"3/2*a*b^2*x^2+3/4*a^2*b*x^4+1/6*a^3*x^6+b^3*ln(x)","A"
1832,1,33,32,0.005000," ","int((a+b/x^2)^3*x^4,x)","\frac{a^{3} x^{5}}{5}+a^{2} b \,x^{3}+3 a \,b^{2} x -\frac{b^{3}}{x}"," ",0,"-b^3/x+3*a*b^2*x+a^2*b*x^3+1/5*a^3*x^5","A"
1833,1,35,34,0.007000," ","int((a+b/x^2)^3*x^3,x)","\frac{a^{3} x^{4}}{4}+\frac{3 a^{2} b \,x^{2}}{2}+3 a \,b^{2} \ln \left(x \right)-\frac{b^{3}}{2 x^{2}}"," ",0,"-1/2*b^3/x^2+3/2*a^2*b*x^2+1/4*a^3*x^4+3*a*b^2*ln(x)","A"
1834,1,34,33,0.006000," ","int((a+b/x^2)^3*x^2,x)","\frac{a^{3} x^{3}}{3}+3 a^{2} b x -\frac{3 a \,b^{2}}{x}-\frac{b^{3}}{3 x^{3}}"," ",0,"-1/3*b^3/x^3-3*a*b^2/x+3*a^2*b*x+1/3*a^3*x^3","A"
1835,1,35,34,0.007000," ","int((a+b/x^2)^3*x,x)","\frac{a^{3} x^{2}}{2}+3 a^{2} b \ln \left(x \right)-\frac{3 a \,b^{2}}{2 x^{2}}-\frac{b^{3}}{4 x^{4}}"," ",0,"-1/4*b^3/x^4-3/2*a*b^2/x^2+1/2*a^3*x^2+3*a^2*b*ln(x)","A"
1836,1,33,32,0.006000," ","int((a+b/x^2)^3,x)","a^{3} x -\frac{3 a^{2} b}{x}-\frac{a \,b^{2}}{x^{3}}-\frac{b^{3}}{5 x^{5}}"," ",0,"-1/5*b^3/x^5-a*b^2/x^3-3*a^2*b/x+a^3*x","A"
1837,1,34,33,0.007000," ","int((a+b/x^2)^3/x,x)","a^{3} \ln \left(x \right)-\frac{3 a^{2} b}{2 x^{2}}-\frac{3 a \,b^{2}}{4 x^{4}}-\frac{b^{3}}{6 x^{6}}"," ",0,"-1/6*b^3/x^6-3/4*a*b^2/x^4-3/2*a^2*b/x^2+a^3*ln(x)","A"
1838,1,36,35,0.005000," ","int((a+b/x^2)^3/x^2,x)","-\frac{a^{3}}{x}-\frac{a^{2} b}{x^{3}}-\frac{3 a \,b^{2}}{5 x^{5}}-\frac{b^{3}}{7 x^{7}}"," ",0,"-1/7*b^3/x^7-3/5*a*b^2/x^5-a^2*b/x^3-a^3/x","A"
1839,1,36,14,0.004000," ","int((a+b/x^2)^3/x^3,x)","-\frac{a^{3}}{2 x^{2}}-\frac{3 a^{2} b}{4 x^{4}}-\frac{a \,b^{2}}{2 x^{6}}-\frac{b^{3}}{8 x^{8}}"," ",0,"-3/4*a^2*b/x^4-1/8*b^3/x^8-1/2*a^3/x^2-1/2*a*b^2/x^6","B"
1840,1,36,35,0.005000," ","int((a+b/x^2)^3/x^4,x)","-\frac{a^{3}}{3 x^{3}}-\frac{3 a^{2} b}{5 x^{5}}-\frac{3 a \,b^{2}}{7 x^{7}}-\frac{b^{3}}{9 x^{9}}"," ",0,"-1/9*b^3/x^9-3/7*a*b^2/x^7-3/5*a^2*b/x^5-1/3*a^3/x^3","A"
1841,1,36,36,0.004000," ","int((a+b/x^2)^3/x^5,x)","-\frac{a^{3}}{4 x^{4}}-\frac{a^{2} b}{2 x^{6}}-\frac{3 a \,b^{2}}{8 x^{8}}-\frac{b^{3}}{10 x^{10}}"," ",0,"-1/4*a^3/x^4-3/8*a*b^2/x^8-1/2*a^2*b/x^6-1/10*b^3/x^10","A"
1842,1,36,35,0.005000," ","int((a+b/x^2)^3/x^6,x)","-\frac{a^{3}}{5 x^{5}}-\frac{3 a^{2} b}{7 x^{7}}-\frac{a \,b^{2}}{3 x^{9}}-\frac{b^{3}}{11 x^{11}}"," ",0,"-1/11*b^3/x^11-1/3*a*b^2/x^9-3/7*a^2*b/x^7-1/5*a^3/x^5","A"
1843,1,60,54,0.004000," ","int(x^6/(a+b/x^2),x)","\frac{x^{7}}{7 a}-\frac{b \,x^{5}}{5 a^{2}}+\frac{b^{2} x^{3}}{3 a^{3}}+\frac{b^{4} \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{4}}-\frac{b^{3} x}{a^{4}}"," ",0,"1/7/a*x^7-1/5*b*x^5/a^2+1/3/a^3*b^2*x^3-1/a^4*b^3*x+b^4/a^4/(a*b)^(1/2)*arctan(x*a/(a*b)^(1/2))","A"
1844,1,46,45,0.005000," ","int(x^5/(a+b/x^2),x)","\frac{x^{6}}{6 a}-\frac{b \,x^{4}}{4 a^{2}}+\frac{b^{2} x^{2}}{2 a^{3}}-\frac{b^{3} \ln \left(a \,x^{2}+b \right)}{2 a^{4}}"," ",0,"1/2/a^3*b^2*x^2-1/4/a^2*b*x^4+1/6/a*x^6-1/2*b^3*ln(a*x^2+b)/a^4","A"
1845,1,49,43,0.004000," ","int(x^4/(a+b/x^2),x)","\frac{x^{5}}{5 a}-\frac{b \,x^{3}}{3 a^{2}}-\frac{b^{3} \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}+\frac{b^{2} x}{a^{3}}"," ",0,"1/5/a*x^5-1/3/a^2*b*x^3+1/a^3*b^2*x-b^3/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1846,1,35,34,0.003000," ","int(x^3/(a+b/x^2),x)","\frac{x^{4}}{4 a}-\frac{b \,x^{2}}{2 a^{2}}+\frac{b^{2} \ln \left(a \,x^{2}+b \right)}{2 a^{3}}"," ",0,"-1/2/a^2*b*x^2+1/4/a*x^4+1/2*b^2*ln(a*x^2+b)/a^3","A"
1847,1,38,32,0.003000," ","int(x^2/(a+b/x^2),x)","\frac{x^{3}}{3 a}+\frac{b^{2} \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}-\frac{b x}{a^{2}}"," ",0,"1/3/a*x^3-1/a^2*b*x+1/a^2*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1848,1,24,23,0.003000," ","int(x/(a+b/x^2),x)","\frac{x^{2}}{2 a}-\frac{b \ln \left(a \,x^{2}+b \right)}{2 a^{2}}"," ",0,"1/2/a*x^2-1/2*b*ln(a*x^2+b)/a^2","A"
1849,1,27,23,0.003000," ","int(1/(a+b/x^2),x)","-\frac{b \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}+\frac{x}{a}"," ",0,"1/a*x-1/a*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1850,1,14,13,0.001000," ","int(1/(a+b/x^2)/x,x)","\frac{\ln \left(a \,x^{2}+b \right)}{2 a}"," ",0,"1/2*ln(a*x^2+b)/a","A"
1851,1,16,16,0.003000," ","int(1/(a+b/x^2)/x^2,x)","\frac{\arctan \left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"1/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1852,1,21,13,0.004000," ","int(1/(a+b/x^2)/x^3,x)","\frac{\ln \left(x \right)}{b}-\frac{\ln \left(a \,x^{2}+b \right)}{2 b}"," ",0,"-1/2/b*ln(a*x^2+b)+1/b*ln(x)","A"
1853,1,30,26,0.004000," ","int(1/(a+b/x^2)/x^4,x)","-\frac{a \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}-\frac{1}{b x}"," ",0,"-1/b/x-a/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1854,1,32,31,0.006000," ","int(1/(a+b/x^2)/x^5,x)","-\frac{a \ln \left(x \right)}{b^{2}}+\frac{a \ln \left(a \,x^{2}+b \right)}{2 b^{2}}-\frac{1}{2 b \,x^{2}}"," ",0,"-1/2/b/x^2-a/b^2*ln(x)+1/2*a*ln(a*x^2+b)/b^2","A"
1855,1,39,33,0.007000," ","int(1/(a+b/x^2)/x^6,x)","\frac{a^{2} \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}+\frac{a}{b^{2} x}-\frac{1}{3 b \,x^{3}}"," ",0,"a^2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)-1/3/b/x^3+a/b^2/x","A"
1856,1,44,43,0.007000," ","int(1/(a+b/x^2)/x^7,x)","\frac{a^{2} \ln \left(x \right)}{b^{3}}-\frac{a^{2} \ln \left(a \,x^{2}+b \right)}{2 b^{3}}+\frac{a}{2 b^{2} x^{2}}-\frac{1}{4 b \,x^{4}}"," ",0,"-1/4/b/x^4+1/2*a/b^2/x^2+a^2/b^3*ln(x)-1/2*a^2*ln(a*x^2+b)/b^3","A"
1857,1,52,46,0.008000," ","int(1/(a+b/x^2)/x^8,x)","-\frac{a^{3} \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}-\frac{a^{2}}{b^{3} x}+\frac{a}{3 b^{2} x^{3}}-\frac{1}{5 b \,x^{5}}"," ",0,"-a^3/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)-1/5/b/x^5-a^2/b^3/x+1/3*a/b^2/x^3","A"
1858,1,78,72,0.008000," ","int(x^6/(a+b/x^2)^2,x)","\frac{x^{7}}{7 a^{2}}-\frac{2 b \,x^{5}}{5 a^{3}}+\frac{b^{2} x^{3}}{a^{4}}-\frac{b^{4} x}{2 \left(a \,x^{2}+b \right) a^{5}}+\frac{9 b^{4} \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{5}}-\frac{4 b^{3} x}{a^{5}}"," ",0,"1/7*x^7/a^2-2/5/a^3*b*x^5+1/a^4*b^2*x^3-4/a^5*b^3*x-1/2/a^5*b^4*x/(a*x^2+b)+9/2/a^5*b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1859,1,63,62,0.012000," ","int(x^5/(a+b/x^2)^2,x)","\frac{x^{6}}{6 a^{2}}-\frac{b \,x^{4}}{2 a^{3}}+\frac{3 b^{2} x^{2}}{2 a^{4}}-\frac{b^{4}}{2 \left(a \,x^{2}+b \right) a^{5}}-\frac{2 b^{3} \ln \left(a \,x^{2}+b \right)}{a^{5}}"," ",0,"3/2/a^4*b^2*x^2-1/2/a^3*b*x^4+1/6/a^2*x^6-1/2*b^4/a^5/(a*x^2+b)-2*b^3*ln(a*x^2+b)/a^5","A"
1860,1,68,61,0.009000," ","int(x^4/(a+b/x^2)^2,x)","\frac{x^{5}}{5 a^{2}}-\frac{2 b \,x^{3}}{3 a^{3}}+\frac{b^{3} x}{2 \left(a \,x^{2}+b \right) a^{4}}-\frac{7 b^{3} \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{4}}+\frac{3 b^{2} x}{a^{4}}"," ",0,"1/5/a^2*x^5-2/3/a^3*b*x^3+3/a^4*b^2*x+1/2/a^4*b^3*x/(a*x^2+b)-7/2/a^4*b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1861,1,52,51,0.010000," ","int(x^3/(a+b/x^2)^2,x)","\frac{x^{4}}{4 a^{2}}-\frac{b \,x^{2}}{a^{3}}+\frac{b^{3}}{2 \left(a \,x^{2}+b \right) a^{4}}+\frac{3 b^{2} \ln \left(a \,x^{2}+b \right)}{2 a^{4}}"," ",0,"-1/a^3*b*x^2+1/4/a^2*x^4+1/2*b^3/a^4/(a*x^2+b)+3/2*b^2*ln(a*x^2+b)/a^4","A"
1862,1,57,50,0.009000," ","int(x^2/(a+b/x^2)^2,x)","\frac{x^{3}}{3 a^{2}}-\frac{b^{2} x}{2 \left(a \,x^{2}+b \right) a^{3}}+\frac{5 b^{2} \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{3}}-\frac{2 b x}{a^{3}}"," ",0,"1/3/a^2*x^3-2/a^3*b*x-1/2/a^3*b^2*x/(a*x^2+b)+5/2/a^3*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1863,1,41,40,0.011000," ","int(x/(a+b/x^2)^2,x)","\frac{x^{2}}{2 a^{2}}-\frac{b^{2}}{2 \left(a \,x^{2}+b \right) a^{3}}-\frac{b \ln \left(a \,x^{2}+b \right)}{a^{3}}"," ",0,"1/2/a^2*x^2-1/2*b^2/a^3/(a*x^2+b)-b*ln(a*x^2+b)/a^3","A"
1864,1,43,41,0.010000," ","int(1/(a+b/x^2)^2,x)","\frac{b x}{2 \left(a \,x^{2}+b \right) a^{2}}-\frac{3 b \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{2}}+\frac{x}{a^{2}}"," ",0,"1/a^2*x+1/2/a^2*b*x/(a*x^2+b)-3/2/a^2*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1865,1,30,29,0.007000," ","int(1/(a+b/x^2)^2/x,x)","\frac{b}{2 \left(a \,x^{2}+b \right) a^{2}}+\frac{\ln \left(a \,x^{2}+b \right)}{2 a^{2}}"," ",0,"1/2*b/a^2/(a*x^2+b)+1/2*ln(a*x^2+b)/a^2","A"
1866,1,36,33,0.007000," ","int(1/(a+b/x^2)^2/x^2,x)","-\frac{x}{2 \left(a \,x^{2}+b \right) a}+\frac{\arctan \left(\frac{a x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a}"," ",0,"-1/2*x/a/(a*x^2+b)+1/2/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1867,1,15,14,0.001000," ","int(1/(a+b/x^2)^2/x^3,x)","-\frac{1}{2 \left(a \,x^{2}+b \right) a}"," ",0,"-1/2/a/(a*x^2+b)","A"
1868,1,36,33,0.005000," ","int(1/(a+b/x^2)^2/x^4,x)","\frac{x}{2 \left(a \,x^{2}+b \right) b}+\frac{\arctan \left(\frac{a x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b}"," ",0,"1/2*x/b/(a*x^2+b)+1/2/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1869,1,35,34,0.010000," ","int(1/(a+b/x^2)^2/x^5,x)","\frac{1}{2 \left(a \,x^{2}+b \right) b}+\frac{\ln \left(x \right)}{b^{2}}-\frac{\ln \left(a \,x^{2}+b \right)}{2 b^{2}}"," ",0,"1/2/b/(a*x^2+b)+1/b^2*ln(x)-1/2*ln(a*x^2+b)/b^2","A"
1870,1,46,43,0.010000," ","int(1/(a+b/x^2)^2/x^6,x)","-\frac{a x}{2 \left(a \,x^{2}+b \right) b^{2}}-\frac{3 a \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{2}}-\frac{1}{b^{2} x}"," ",0,"-1/2*a/b^2*x/(a*x^2+b)-3/2*a/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)-1/b^2/x","A"
1871,1,46,45,0.012000," ","int(1/(a+b/x^2)^2/x^7,x)","-\frac{a}{2 \left(a \,x^{2}+b \right) b^{2}}-\frac{2 a \ln \left(x \right)}{b^{3}}+\frac{a \ln \left(a \,x^{2}+b \right)}{b^{3}}-\frac{1}{2 b^{2} x^{2}}"," ",0,"-1/2/b^2/x^2-1/2*a/b^2/(a*x^2+b)-2*a/b^3*ln(x)+a*ln(a*x^2+b)/b^3","A"
1872,1,59,52,0.012000," ","int(1/(a+b/x^2)^2/x^8,x)","\frac{a^{2} x}{2 \left(a \,x^{2}+b \right) b^{3}}+\frac{5 a^{2} \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{3}}+\frac{2 a}{b^{3} x}-\frac{1}{3 b^{2} x^{3}}"," ",0,"1/2*a^2/b^3*x/(a*x^2+b)+5/2*a^2/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)-1/3/b^2/x^3+2*a/b^3/x","A"
1873,1,61,60,0.012000," ","int(1/(a+b/x^2)^2/x^9,x)","\frac{a^{2}}{2 \left(a \,x^{2}+b \right) b^{3}}+\frac{3 a^{2} \ln \left(x \right)}{b^{4}}-\frac{3 a^{2} \ln \left(a \,x^{2}+b \right)}{2 b^{4}}+\frac{a}{b^{3} x^{2}}-\frac{1}{4 b^{2} x^{4}}"," ",0,"-1/4/b^2/x^4+a/b^3/x^2+1/2*a^2/b^3/(a*x^2+b)+3*a^2/b^4*ln(x)-3/2*a^2*ln(a*x^2+b)/b^4","A"
1874,1,80,79,0.013000," ","int(x^5/(a+b/x^2)^3,x)","\frac{x^{6}}{6 a^{3}}-\frac{3 b \,x^{4}}{4 a^{4}}+\frac{3 b^{2} x^{2}}{a^{5}}+\frac{b^{5}}{4 \left(a \,x^{2}+b \right)^{2} a^{6}}-\frac{5 b^{4}}{2 \left(a \,x^{2}+b \right) a^{6}}-\frac{5 b^{3} \ln \left(a \,x^{2}+b \right)}{a^{6}}"," ",0,"3/a^5*b^2*x^2-3/4/a^4*b*x^4+1/6*x^6/a^3+1/4*b^5/a^6/(a*x^2+b)^2-5/2*b^4/a^6/(a*x^2+b)-5*b^3*ln(a*x^2+b)/a^6","A"
1875,1,88,78,0.011000," ","int(x^4/(a+b/x^2)^3,x)","\frac{x^{5}}{5 a^{3}}+\frac{17 b^{3} x^{3}}{8 \left(a \,x^{2}+b \right)^{2} a^{4}}-\frac{b \,x^{3}}{a^{4}}+\frac{15 b^{4} x}{8 \left(a \,x^{2}+b \right)^{2} a^{5}}-\frac{63 b^{3} \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{5}}+\frac{6 b^{2} x}{a^{5}}"," ",0,"1/5/a^3*x^5-1/a^4*b*x^3+6/a^5*b^2*x+17/8/a^4*b^3/(a*x^2+b)^2*x^3+15/8/a^5*b^4/(a*x^2+b)^2*x-63/8/a^5*b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1876,1,69,68,0.010000," ","int(x^3/(a+b/x^2)^3,x)","\frac{x^{4}}{4 a^{3}}-\frac{3 b \,x^{2}}{2 a^{4}}-\frac{b^{4}}{4 \left(a \,x^{2}+b \right)^{2} a^{5}}+\frac{2 b^{3}}{\left(a \,x^{2}+b \right) a^{5}}+\frac{3 b^{2} \ln \left(a \,x^{2}+b \right)}{a^{5}}"," ",0,"-3/2/a^4*b*x^2+1/4/a^3*x^4-1/4*b^4/a^5/(a*x^2+b)^2+2*b^3/a^5/(a*x^2+b)+3*b^2*ln(a*x^2+b)/a^5","A"
1877,1,77,67,0.010000," ","int(x^2/(a+b/x^2)^3,x)","-\frac{13 b^{2} x^{3}}{8 \left(a \,x^{2}+b \right)^{2} a^{3}}+\frac{x^{3}}{3 a^{3}}-\frac{11 b^{3} x}{8 \left(a \,x^{2}+b \right)^{2} a^{4}}+\frac{35 b^{2} \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{4}}-\frac{3 b x}{a^{4}}"," ",0,"1/3/a^3*x^3-3/a^4*b*x-13/8/a^3*b^2/(a*x^2+b)^2*x^3-11/8/a^4*b^3/(a*x^2+b)^2*x+35/8/a^4*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1878,1,58,57,0.010000," ","int(x/(a+b/x^2)^3,x)","\frac{x^{2}}{2 a^{3}}+\frac{b^{3}}{4 \left(a \,x^{2}+b \right)^{2} a^{4}}-\frac{3 b^{2}}{2 \left(a \,x^{2}+b \right) a^{4}}-\frac{3 b \ln \left(a \,x^{2}+b \right)}{2 a^{4}}"," ",0,"1/2/a^3*x^2+1/4*b^3/a^4/(a*x^2+b)^2-3/2*b^2/a^4/(a*x^2+b)-3/2*b*ln(a*x^2+b)/a^4","A"
1879,1,63,58,0.012000," ","int(1/(a+b/x^2)^3,x)","\frac{9 b \,x^{3}}{8 \left(a \,x^{2}+b \right)^{2} a^{2}}+\frac{7 b^{2} x}{8 \left(a \,x^{2}+b \right)^{2} a^{3}}-\frac{15 b \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{3}}+\frac{x}{a^{3}}"," ",0,"1/a^3*x+9/8/a^2*b/(a*x^2+b)^2*x^3+7/8/a^3*b^2/(a*x^2+b)^2*x-15/8/a^3*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1880,1,46,45,0.007000," ","int(1/(a+b/x^2)^3/x,x)","-\frac{b^{2}}{4 \left(a \,x^{2}+b \right)^{2} a^{3}}+\frac{b}{\left(a \,x^{2}+b \right) a^{3}}+\frac{\ln \left(a \,x^{2}+b \right)}{2 a^{3}}"," ",0,"-1/4*b^2/a^3/(a*x^2+b)^2+b/a^3/(a*x^2+b)+1/2*ln(a*x^2+b)/a^3","A"
1881,1,47,50,0.009000," ","int(1/(a+b/x^2)^3/x^2,x)","\frac{3 \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{2}}+\frac{-\frac{5 x^{3}}{8 a}-\frac{3 b x}{8 a^{2}}}{\left(a \,x^{2}+b \right)^{2}}"," ",0,"(-5/8/a*x^3-3/8/a^2*b*x)/(a*x^2+b)^2+3/8/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1882,1,31,14,0.007000," ","int(1/(a+b/x^2)^3/x^3,x)","\frac{b}{4 \left(a \,x^{2}+b \right)^{2} a^{2}}-\frac{1}{2 \left(a \,x^{2}+b \right) a^{2}}"," ",0,"1/4/a^2*b/(a*x^2+b)^2-1/2/a^2/(a*x^2+b)","B"
1883,1,49,51,0.008000," ","int(1/(a+b/x^2)^3/x^4,x)","\frac{\arctan \left(\frac{a x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a b}+\frac{\frac{x^{3}}{8 b}-\frac{x}{8 a}}{\left(a \,x^{2}+b \right)^{2}}"," ",0,"(1/8/b*x^3-1/8/a*x)/(a*x^2+b)^2+1/8/b/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1884,1,15,14,0.000000," ","int(1/(a+b/x^2)^3/x^5,x)","-\frac{1}{4 \left(a \,x^{2}+b \right)^{2} a}"," ",0,"-1/4/a/(a*x^2+b)^2","A"
1885,1,51,48,0.005000," ","int(1/(a+b/x^2)^3/x^6,x)","\frac{x}{4 \left(a \,x^{2}+b \right)^{2} b}+\frac{3 x}{8 \left(a \,x^{2}+b \right) b^{2}}+\frac{3 \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{2}}"," ",0,"1/4*x/b/(a*x^2+b)^2+3/8*x/b^2/(a*x^2+b)+3/8/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)","A"
1886,1,49,48,0.012000," ","int(1/(a+b/x^2)^3/x^7,x)","\frac{1}{4 \left(a \,x^{2}+b \right)^{2} b}+\frac{1}{2 \left(a \,x^{2}+b \right) b^{2}}+\frac{\ln \left(x \right)}{b^{3}}-\frac{\ln \left(a \,x^{2}+b \right)}{2 b^{3}}"," ",0,"1/4/b/(a*x^2+b)^2+1/2/b^2/(a*x^2+b)+1/b^3*ln(x)-1/2*ln(a*x^2+b)/b^3","A"
1887,1,66,60,0.011000," ","int(1/(a+b/x^2)^3/x^8,x)","-\frac{7 a^{2} x^{3}}{8 \left(a \,x^{2}+b \right)^{2} b^{3}}-\frac{9 a x}{8 \left(a \,x^{2}+b \right)^{2} b^{2}}-\frac{15 a \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{3}}-\frac{1}{b^{3} x}"," ",0,"-7/8*a^2/b^3/(a*x^2+b)^2*x^3-9/8*a/b^2/(a*x^2+b)^2*x-15/8*a/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)-1/b^3/x","A"
1888,1,62,61,0.012000," ","int(1/(a+b/x^2)^3/x^9,x)","-\frac{a}{4 \left(a \,x^{2}+b \right)^{2} b^{2}}-\frac{a}{\left(a \,x^{2}+b \right) b^{3}}-\frac{3 a \ln \left(x \right)}{b^{4}}+\frac{3 a \ln \left(a \,x^{2}+b \right)}{2 b^{4}}-\frac{1}{2 b^{3} x^{2}}"," ",0,"-1/2/b^3/x^2-1/4*a/b^2/(a*x^2+b)^2-a/b^3/(a*x^2+b)-3*a/b^4*ln(x)+3/2*a*ln(a*x^2+b)/b^4","A"
1889,1,79,69,0.015000," ","int(1/(a+b/x^2)^3/x^10,x)","\frac{11 a^{3} x^{3}}{8 \left(a \,x^{2}+b \right)^{2} b^{4}}+\frac{13 a^{2} x}{8 \left(a \,x^{2}+b \right)^{2} b^{3}}+\frac{35 a^{2} \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{4}}+\frac{3 a}{b^{4} x}-\frac{1}{3 b^{3} x^{3}}"," ",0,"11/8/b^4*a^3/(a*x^2+b)^2*x^3+13/8/b^3*a^2/(a*x^2+b)^2*x+35/8/b^4*a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*x)-1/3/b^3/x^3+3*a/b^4/x","A"
1890,1,79,78,0.014000," ","int(1/(a+b/x^2)^3/x^11,x)","\frac{a^{2}}{4 \left(a \,x^{2}+b \right)^{2} b^{3}}+\frac{3 a^{2}}{2 \left(a \,x^{2}+b \right) b^{4}}+\frac{6 a^{2} \ln \left(x \right)}{b^{5}}-\frac{3 a^{2} \ln \left(a \,x^{2}+b \right)}{b^{5}}+\frac{3 a}{2 b^{4} x^{2}}-\frac{1}{4 b^{3} x^{4}}"," ",0,"-1/4/b^3/x^4+3/2*a/b^4/x^2+1/4*a^2/b^3/(a*x^2+b)^2+3/2*a^2/b^4/(a*x^2+b)+6*a^2/b^5*ln(x)-3*a^2*ln(a*x^2+b)/b^5","A"
1891,1,82,55,0.015000," ","int((a+b/x^2)^(1/2)*x^3,x)","\frac{\sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, \left(-b^{2} \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)-\sqrt{a \,x^{2}+b}\, \sqrt{a}\, b x +2 \left(a \,x^{2}+b \right)^{\frac{3}{2}} \sqrt{a}\, x \right) x}{8 \sqrt{a \,x^{2}+b}\, a^{\frac{3}{2}}}"," ",0,"1/8*((a*x^2+b)/x^2)^(1/2)*x*(2*x*(a*x^2+b)^(3/2)*a^(1/2)-(a*x^2+b)^(1/2)*a^(1/2)*x*b-ln(x*a^(1/2)+(a*x^2+b)^(1/2))*b^2)/(a*x^2+b)^(1/2)/a^(3/2)","A"
1892,1,27,17,0.004000," ","int((a+b/x^2)^(1/2)*x^2,x)","\frac{\left(a \,x^{2}+b \right) \sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, x}{3 a}"," ",0,"1/3*(a*x^2+b)/a*x*((a*x^2+b)/x^2)^(1/2)","A"
1893,1,62,35,0.005000," ","int((a+b/x^2)^(1/2)*x,x)","\frac{\sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, \left(b \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)+\sqrt{a \,x^{2}+b}\, \sqrt{a}\, x \right) x}{2 \sqrt{a \,x^{2}+b}\, \sqrt{a}}"," ",0,"1/2*((a*x^2+b)/x^2)^(1/2)*x*(x*(a*x^2+b)^(1/2)*a^(1/2)+b*ln(a^(1/2)*x+(a*x^2+b)^(1/2)))/(a*x^2+b)^(1/2)/a^(1/2)","A"
1894,1,63,34,0.007000," ","int((a+b/x^2)^(1/2),x)","-\frac{\sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, \left(\sqrt{b}\, \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)-\sqrt{a \,x^{2}+b}\right) x}{\sqrt{a \,x^{2}+b}}"," ",0,"-((a*x^2+b)/x^2)^(1/2)*x*(b^(1/2)*ln(2*(b^(1/2)*(a*x^2+b)^(1/2)+b)/x)-(a*x^2+b)^(1/2))/(a*x^2+b)^(1/2)","A"
1895,1,83,30,0.007000," ","int((a+b/x^2)^(1/2)/x,x)","-\frac{\sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, \left(-a b x \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)-\sqrt{a \,x^{2}+b}\, a^{\frac{3}{2}} x^{2}+\left(a \,x^{2}+b \right)^{\frac{3}{2}} \sqrt{a}\right)}{\sqrt{a \,x^{2}+b}\, \sqrt{a}\, b}"," ",0,"-((a*x^2+b)/x^2)^(1/2)*(-(a*x^2+b)^(1/2)*a^(3/2)*x^2+(a*x^2+b)^(3/2)*a^(1/2)-ln(a^(1/2)*x+(a*x^2+b)^(1/2))*x*a*b)/(a*x^2+b)^(1/2)/b/a^(1/2)","B"
1896,1,85,38,0.006000," ","int((a+b/x^2)^(1/2)/x^2,x)","-\frac{\sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, \left(a \sqrt{b}\, x^{2} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)-\sqrt{a \,x^{2}+b}\, a \,x^{2}+\left(a \,x^{2}+b \right)^{\frac{3}{2}}\right)}{2 \sqrt{a \,x^{2}+b}\, b x}"," ",0,"-1/2*((a*x^2+b)/x^2)^(1/2)/x*(b^(1/2)*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*x^2*a-(a*x^2+b)^(1/2)*x^2*a+(a*x^2+b)^(3/2))/(a*x^2+b)^(1/2)/b","B"
1897,1,29,14,0.004000," ","int((a+b/x^2)^(1/2)/x^3,x)","-\frac{\left(a \,x^{2}+b \right) \sqrt{\frac{a \,x^{2}+b}{x^{2}}}}{3 b \,x^{2}}"," ",0,"-1/3*(a*x^2+b)/x^2/b*((a*x^2+b)/x^2)^(1/2)","A"
1898,1,106,58,0.007000," ","int((a+b/x^2)^(1/2)/x^4,x)","\frac{\sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, \left(a^{2} \sqrt{b}\, x^{4} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)-\sqrt{a \,x^{2}+b}\, a^{2} x^{4}+\left(a \,x^{2}+b \right)^{\frac{3}{2}} a \,x^{2}-2 \left(a \,x^{2}+b \right)^{\frac{3}{2}} b \right)}{8 \sqrt{a \,x^{2}+b}\, b^{2} x^{3}}"," ",0,"1/8*((a*x^2+b)/x^2)^(1/2)/x^3*(b^(1/2)*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*x^4*a^2-(a*x^2+b)^(1/2)*x^4*a^2+(a*x^2+b)^(3/2)*x^2*a-2*(a*x^2+b)^(3/2)*b)/(a*x^2+b)^(1/2)/b^2","A"
1899,1,84,52,0.005000," ","int((a+b/x^2)^(3/2)*x^3,x)","\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} \left(3 b^{2} \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)+3 \sqrt{a \,x^{2}+b}\, \sqrt{a}\, b x +2 \left(a \,x^{2}+b \right)^{\frac{3}{2}} \sqrt{a}\, x \right) x^{3}}{8 \left(a \,x^{2}+b \right)^{\frac{3}{2}} \sqrt{a}}"," ",0,"1/8*((a*x^2+b)/x^2)^(3/2)*x^3*(2*(a*x^2+b)^(3/2)*a^(1/2)*x+3*(a*x^2+b)^(1/2)*a^(1/2)*b*x+3*b^2*ln(a^(1/2)*x+(a*x^2+b)^(1/2)))/(a*x^2+b)^(3/2)/a^(1/2)","A"
1900,1,76,49,0.006000," ","int((a+b/x^2)^(3/2)*x^2,x)","\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} \left(-3 b^{\frac{3}{2}} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)+3 \sqrt{a \,x^{2}+b}\, b +\left(a \,x^{2}+b \right)^{\frac{3}{2}}\right) x^{3}}{3 \left(a \,x^{2}+b \right)^{\frac{3}{2}}}"," ",0,"1/3*((a*x^2+b)/x^2)^(3/2)*x^3*((a*x^2+b)^(3/2)-3*b^(3/2)*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)+3*(a*x^2+b)^(1/2)*b)/(a*x^2+b)^(3/2)","A"
1901,1,107,47,0.007000," ","int((a+b/x^2)^(3/2)*x,x)","-\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} \left(-3 a \,b^{2} x \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)-3 \sqrt{a \,x^{2}+b}\, a^{\frac{3}{2}} b \,x^{2}-2 \left(a \,x^{2}+b \right)^{\frac{3}{2}} a^{\frac{3}{2}} x^{2}+2 \left(a \,x^{2}+b \right)^{\frac{5}{2}} \sqrt{a}\right) x^{2}}{2 \left(a \,x^{2}+b \right)^{\frac{3}{2}} \sqrt{a}\, b}"," ",0,"-1/2*((a*x^2+b)/x^2)^(3/2)*x^2*(-2*(a*x^2+b)^(3/2)*a^(3/2)*x^2+2*(a*x^2+b)^(5/2)*a^(1/2)-3*(a*x^2+b)^(1/2)*a^(3/2)*x^2*b-3*ln(a^(1/2)*x+(a*x^2+b)^(1/2))*x*a*b^2)/(a*x^2+b)^(3/2)/b/a^(1/2)","B"
1902,1,100,50,0.007000," ","int((a+b/x^2)^(3/2),x)","-\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} \left(3 a \,b^{\frac{3}{2}} x^{2} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)-3 \sqrt{a \,x^{2}+b}\, a b \,x^{2}-\left(a \,x^{2}+b \right)^{\frac{3}{2}} a \,x^{2}+\left(a \,x^{2}+b \right)^{\frac{5}{2}}\right) x}{2 \left(a \,x^{2}+b \right)^{\frac{3}{2}} b}"," ",0,"-1/2*((a*x^2+b)/x^2)^(3/2)*x*(-(a*x^2+b)^(3/2)*a*x^2+3*b^(3/2)*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*x^2*a+(a*x^2+b)^(5/2)-3*(a*x^2+b)^(1/2)*x^2*a*b)/(a*x^2+b)^(3/2)/b","A"
1903,1,125,42,0.007000," ","int((a+b/x^2)^(3/2)/x,x)","-\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} \left(-3 a^{2} b^{2} x^{3} \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)-3 \sqrt{a \,x^{2}+b}\, a^{\frac{5}{2}} b \,x^{4}-2 \left(a \,x^{2}+b \right)^{\frac{3}{2}} a^{\frac{5}{2}} x^{4}+2 \left(a \,x^{2}+b \right)^{\frac{5}{2}} a^{\frac{3}{2}} x^{2}+\left(a \,x^{2}+b \right)^{\frac{5}{2}} \sqrt{a}\, b \right)}{3 \left(a \,x^{2}+b \right)^{\frac{3}{2}} \sqrt{a}\, b^{2}}"," ",0,"-1/3*((a*x^2+b)/x^2)^(3/2)*(-2*(a*x^2+b)^(3/2)*a^(5/2)*x^4+2*(a*x^2+b)^(5/2)*a^(3/2)*x^2-3*(a*x^2+b)^(1/2)*a^(5/2)*x^4*b-3*ln(a^(1/2)*x+(a*x^2+b)^(1/2))*x^3*a^2*b^2+(a*x^2+b)^(5/2)*b*a^(1/2))/(a*x^2+b)^(3/2)/b^2/a^(1/2)","B"
1904,1,125,55,0.007000," ","int((a+b/x^2)^(3/2)/x^2,x)","-\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} \left(3 a^{2} b^{\frac{3}{2}} x^{4} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)-3 \sqrt{a \,x^{2}+b}\, a^{2} b \,x^{4}-\left(a \,x^{2}+b \right)^{\frac{3}{2}} a^{2} x^{4}+\left(a \,x^{2}+b \right)^{\frac{5}{2}} a \,x^{2}+2 \left(a \,x^{2}+b \right)^{\frac{5}{2}} b \right)}{8 \left(a \,x^{2}+b \right)^{\frac{3}{2}} b^{2} x}"," ",0,"-1/8*((a*x^2+b)/x^2)^(3/2)/x*(3*b^(3/2)*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*x^4*a^2-(a*x^2+b)^(3/2)*x^4*a^2+(a*x^2+b)^(5/2)*x^2*a-3*(a*x^2+b)^(1/2)*x^4*a^2*b+2*(a*x^2+b)^(5/2)*b)/(a*x^2+b)^(3/2)/b^2","B"
1905,1,29,14,0.004000," ","int((a+b/x^2)^(3/2)/x^3,x)","-\frac{\left(a \,x^{2}+b \right) \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}}}{5 b \,x^{2}}"," ",0,"-1/5*(a*x^2+b)/x^2/b*((a*x^2+b)/x^2)^(3/2)","A"
1906,1,145,75,0.010000," ","int((a+b/x^2)^(3/2)/x^4,x)","\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} \left(3 a^{3} b^{\frac{3}{2}} x^{6} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)-3 \sqrt{a \,x^{2}+b}\, a^{3} b \,x^{6}-\left(a \,x^{2}+b \right)^{\frac{3}{2}} a^{3} x^{6}+\left(a \,x^{2}+b \right)^{\frac{5}{2}} a^{2} x^{4}+2 \left(a \,x^{2}+b \right)^{\frac{5}{2}} a b \,x^{2}-8 \left(a \,x^{2}+b \right)^{\frac{5}{2}} b^{2}\right)}{48 \left(a \,x^{2}+b \right)^{\frac{3}{2}} b^{3} x^{3}}"," ",0,"1/48*((a*x^2+b)/x^2)^(3/2)/x^3*(-(a*x^2+b)^(3/2)*x^6*a^3+3*b^(3/2)*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*x^6*a^3+(a*x^2+b)^(5/2)*x^4*a^2-3*(a*x^2+b)^(1/2)*x^6*a^3*b+2*(a*x^2+b)^(5/2)*x^2*a*b-8*(a*x^2+b)^(5/2)*b^2)/(a*x^2+b)^(3/2)/b^3","A"
1907,1,127,66,0.009000," ","int((a+b/x^2)^(5/2)*x^3,x)","\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} \left(15 a \,b^{3} x \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)+15 \sqrt{a \,x^{2}+b}\, a^{\frac{3}{2}} b^{2} x^{2}+10 \left(a \,x^{2}+b \right)^{\frac{3}{2}} a^{\frac{3}{2}} b \,x^{2}+8 \left(a \,x^{2}+b \right)^{\frac{5}{2}} a^{\frac{3}{2}} x^{2}-8 \left(a \,x^{2}+b \right)^{\frac{7}{2}} \sqrt{a}\right) x^{4}}{8 \left(a \,x^{2}+b \right)^{\frac{5}{2}} \sqrt{a}\, b}"," ",0,"1/8*((a*x^2+b)/x^2)^(5/2)*x^4*(8*(a*x^2+b)^(5/2)*a^(3/2)*x^2+10*a^(3/2)*(a*x^2+b)^(3/2)*x^2*b+15*a^(3/2)*(a*x^2+b)^(1/2)*x^2*b^2-8*(a*x^2+b)^(7/2)*a^(1/2)+15*ln(a^(1/2)*x+(a*x^2+b)^(1/2))*x*a*b^3)/(a*x^2+b)^(5/2)/b/a^(1/2)","A"
1908,1,122,68,0.009000," ","int((a+b/x^2)^(5/2)*x^2,x)","-\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} \left(15 a \,b^{\frac{5}{2}} x^{2} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)-15 \sqrt{a \,x^{2}+b}\, a \,b^{2} x^{2}-5 \left(a \,x^{2}+b \right)^{\frac{3}{2}} a b \,x^{2}-3 \left(a \,x^{2}+b \right)^{\frac{5}{2}} a \,x^{2}+3 \left(a \,x^{2}+b \right)^{\frac{7}{2}}\right) x^{3}}{6 \left(a \,x^{2}+b \right)^{\frac{5}{2}} b}"," ",0,"-1/6*((a*x^2+b)/x^2)^(5/2)*x^3*(-3*(a*x^2+b)^(5/2)*a*x^2+15*b^(5/2)*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*x^2*a+3*(a*x^2+b)^(7/2)-5*(a*x^2+b)^(3/2)*x^2*a*b-15*(a*x^2+b)^(1/2)*x^2*a*b^2)/(a*x^2+b)^(5/2)/b","A"
1909,1,149,60,0.009000," ","int((a+b/x^2)^(5/2)*x,x)","-\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} \left(-15 a^{2} b^{3} x^{3} \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)-15 \sqrt{a \,x^{2}+b}\, a^{\frac{5}{2}} b^{2} x^{4}-10 \left(a \,x^{2}+b \right)^{\frac{3}{2}} a^{\frac{5}{2}} b \,x^{4}-8 \left(a \,x^{2}+b \right)^{\frac{5}{2}} a^{\frac{5}{2}} x^{4}+8 \left(a \,x^{2}+b \right)^{\frac{7}{2}} a^{\frac{3}{2}} x^{2}+2 \left(a \,x^{2}+b \right)^{\frac{7}{2}} \sqrt{a}\, b \right) x^{2}}{6 \left(a \,x^{2}+b \right)^{\frac{5}{2}} \sqrt{a}\, b^{2}}"," ",0,"-1/6*((a*x^2+b)/x^2)^(5/2)*x^2*(-8*(a*x^2+b)^(5/2)*a^(5/2)*x^4+8*(a*x^2+b)^(7/2)*a^(3/2)*x^2-10*(a*x^2+b)^(3/2)*a^(5/2)*x^4*b-15*(a*x^2+b)^(1/2)*a^(5/2)*x^4*b^2+2*(a*x^2+b)^(7/2)*b*a^(1/2)-15*ln(a^(1/2)*x+(a*x^2+b)^(1/2))*x^3*a^2*b^3)/(a*x^2+b)^(5/2)/b^2/a^(1/2)","B"
1910,1,144,68,0.007000," ","int((a+b/x^2)^(5/2),x)","-\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} \left(15 a^{2} b^{\frac{5}{2}} x^{4} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)-15 \sqrt{a \,x^{2}+b}\, a^{2} b^{2} x^{4}-5 \left(a \,x^{2}+b \right)^{\frac{3}{2}} a^{2} b \,x^{4}-3 \left(a \,x^{2}+b \right)^{\frac{5}{2}} a^{2} x^{4}+3 \left(a \,x^{2}+b \right)^{\frac{7}{2}} a \,x^{2}+2 \left(a \,x^{2}+b \right)^{\frac{7}{2}} b \right) x}{8 \left(a \,x^{2}+b \right)^{\frac{5}{2}} b^{2}}"," ",0,"-1/8*((a*x^2+b)/x^2)^(5/2)*x*(-3*(a*x^2+b)^(5/2)*a^2*x^4+3*(a*x^2+b)^(7/2)*x^2*a-5*(a*x^2+b)^(3/2)*x^4*a^2*b+15*b^(5/2)*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*x^4*a^2-15*(a*x^2+b)^(1/2)*x^4*a^2*b^2+2*(a*x^2+b)^(7/2)*b)/(a*x^2+b)^(5/2)/b^2","B"
1911,1,166,56,0.012000," ","int((a+b/x^2)^(5/2)/x,x)","\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} \left(15 a^{3} b^{3} x^{5} \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)+15 \sqrt{a \,x^{2}+b}\, a^{\frac{7}{2}} b^{2} x^{6}+10 \left(a \,x^{2}+b \right)^{\frac{3}{2}} a^{\frac{7}{2}} b \,x^{6}+8 \left(a \,x^{2}+b \right)^{\frac{5}{2}} a^{\frac{7}{2}} x^{6}-8 \left(a \,x^{2}+b \right)^{\frac{7}{2}} a^{\frac{5}{2}} x^{4}-2 \left(a \,x^{2}+b \right)^{\frac{7}{2}} a^{\frac{3}{2}} b \,x^{2}-3 \left(a \,x^{2}+b \right)^{\frac{7}{2}} \sqrt{a}\, b^{2}\right)}{15 \left(a \,x^{2}+b \right)^{\frac{5}{2}} \sqrt{a}\, b^{3}}"," ",0,"1/15*((a*x^2+b)/x^2)^(5/2)*(8*a^(7/2)*(a*x^2+b)^(5/2)*x^6+10*a^(7/2)*(a*x^2+b)^(3/2)*x^6*b+15*a^(7/2)*(a*x^2+b)^(1/2)*x^6*b^2-8*a^(5/2)*(a*x^2+b)^(7/2)*x^4-2*a^(3/2)*(a*x^2+b)^(7/2)*x^2*b+15*ln(a^(1/2)*x+(a*x^2+b)^(1/2))*x^5*a^3*b^3-3*(a*x^2+b)^(7/2)*b^2*a^(1/2))/(a*x^2+b)^(5/2)/b^3/a^(1/2)","B"
1912,1,166,72,0.012000," ","int((a+b/x^2)^(5/2)/x^2,x)","-\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} \left(15 a^{3} b^{\frac{5}{2}} x^{6} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)-15 \sqrt{a \,x^{2}+b}\, a^{3} b^{2} x^{6}-5 \left(a \,x^{2}+b \right)^{\frac{3}{2}} a^{3} b \,x^{6}-3 \left(a \,x^{2}+b \right)^{\frac{5}{2}} a^{3} x^{6}+3 \left(a \,x^{2}+b \right)^{\frac{7}{2}} a^{2} x^{4}+2 \left(a \,x^{2}+b \right)^{\frac{7}{2}} a b \,x^{2}+8 \left(a \,x^{2}+b \right)^{\frac{7}{2}} b^{2}\right)}{48 \left(a \,x^{2}+b \right)^{\frac{5}{2}} b^{3} x}"," ",0,"-1/48*((a*x^2+b)/x^2)^(5/2)/x*(-3*(a*x^2+b)^(5/2)*x^6*a^3+15*b^(5/2)*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*x^6*a^3+3*(a*x^2+b)^(7/2)*x^4*a^2-5*(a*x^2+b)^(3/2)*x^6*a^3*b-15*(a*x^2+b)^(1/2)*x^6*a^3*b^2+2*(a*x^2+b)^(7/2)*x^2*a*b+8*(a*x^2+b)^(7/2)*b^2)/(a*x^2+b)^(5/2)/b^3","B"
1913,1,29,14,0.005000," ","int((a+b/x^2)^(5/2)/x^3,x)","-\frac{\left(a \,x^{2}+b \right) \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}}}{7 b \,x^{2}}"," ",0,"-1/7*(a*x^2+b)/x^2/b*((a*x^2+b)/x^2)^(5/2)","A"
1914,1,186,92,0.020000," ","int((a+b/x^2)^(5/2)/x^4,x)","\frac{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} \left(15 a^{4} b^{\frac{5}{2}} x^{8} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)-15 \sqrt{a \,x^{2}+b}\, a^{4} b^{2} x^{8}-5 \left(a \,x^{2}+b \right)^{\frac{3}{2}} a^{4} b \,x^{8}-3 \left(a \,x^{2}+b \right)^{\frac{5}{2}} a^{4} x^{8}+3 \left(a \,x^{2}+b \right)^{\frac{7}{2}} a^{3} x^{6}+2 \left(a \,x^{2}+b \right)^{\frac{7}{2}} a^{2} b \,x^{4}+8 \left(a \,x^{2}+b \right)^{\frac{7}{2}} a \,b^{2} x^{2}-48 \left(a \,x^{2}+b \right)^{\frac{7}{2}} b^{3}\right)}{384 \left(a \,x^{2}+b \right)^{\frac{5}{2}} b^{4} x^{3}}"," ",0,"1/384*((a*x^2+b)/x^2)^(5/2)/x^3*(-3*(a*x^2+b)^(5/2)*x^8*a^4+3*(a*x^2+b)^(7/2)*x^6*a^3-5*(a*x^2+b)^(3/2)*x^8*a^4*b+15*b^(5/2)*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*x^8*a^4-15*(a*x^2+b)^(1/2)*x^8*a^4*b^2+2*(a*x^2+b)^(7/2)*x^4*a^2*b+8*(a*x^2+b)^(7/2)*x^2*a*b^2-48*(a*x^2+b)^(7/2)*b^3)/(a*x^2+b)^(5/2)/b^4","B"
1915,1,87,58,0.009000," ","int(x^3/(a+b/x^2)^(1/2),x)","\frac{\sqrt{a \,x^{2}+b}\, \left(2 \sqrt{a \,x^{2}+b}\, a^{\frac{5}{2}} x^{3}+3 a \,b^{2} \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)-3 \sqrt{a \,x^{2}+b}\, a^{\frac{3}{2}} b x \right)}{8 \sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, a^{\frac{7}{2}} x}"," ",0,"1/8*(a*x^2+b)^(1/2)*(2*x^3*(a*x^2+b)^(1/2)*a^(5/2)-3*(a*x^2+b)^(1/2)*a^(3/2)*x*b+3*ln(a^(1/2)*x+(a*x^2+b)^(1/2))*a*b^2)/((a*x^2+b)/x^2)^(1/2)/x/a^(7/2)","A"
1916,1,66,38,0.009000," ","int(x/(a+b/x^2)^(1/2),x)","\frac{\sqrt{a \,x^{2}+b}\, \left(-a b \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)+\sqrt{a \,x^{2}+b}\, a^{\frac{3}{2}} x \right)}{2 \sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, a^{\frac{5}{2}} x}"," ",0,"1/2*(a*x^2+b)^(1/2)*(x*(a*x^2+b)^(1/2)*a^(3/2)-b*ln(a^(1/2)*x+(a*x^2+b)^(1/2))*a)/((a*x^2+b)/x^2)^(1/2)/x/a^(5/2)","A"
1917,1,46,18,0.004000," ","int(1/(a+b/x^2)^(1/2)/x,x)","\frac{\sqrt{a \,x^{2}+b}\, \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)}{\sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, \sqrt{a}\, x}"," ",0,"1/((a*x^2+b)/x^2)^(1/2)/x*(a*x^2+b)^(1/2)*ln(a^(1/2)*x+(a*x^2+b)^(1/2))/a^(1/2)","B"
1918,1,29,14,0.005000," ","int(1/(a+b/x^2)^(1/2)/x^3,x)","-\frac{a \,x^{2}+b}{\sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, b \,x^{2}}"," ",0,"-(a*x^2+b)/x^2/b/((a*x^2+b)/x^2)^(1/2)","A"
1919,1,39,29,0.006000," ","int(1/(a+b/x^2)^(1/2)/x^5,x)","\frac{\left(a \,x^{2}+b \right) \left(2 a \,x^{2}-b \right)}{3 \sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, b^{2} x^{4}}"," ",0,"1/3*(a*x^2+b)*(2*a*x^2-b)/x^4/b^2/((a*x^2+b)/x^2)^(1/2)","A"
1920,1,50,47,0.008000," ","int(1/(a+b/x^2)^(1/2)/x^7,x)","-\frac{\left(a \,x^{2}+b \right) \left(8 a^{2} x^{4}-4 a b \,x^{2}+3 b^{2}\right)}{15 \sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, b^{3} x^{6}}"," ",0,"-1/15*(a*x^2+b)*(8*a^2*x^4-4*a*b*x^2+3*b^2)/x^6/b^3/((a*x^2+b)/x^2)^(1/2)","A"
1921,1,61,63,0.007000," ","int(1/(a+b/x^2)^(1/2)/x^9,x)","\frac{\left(a \,x^{2}+b \right) \left(16 a^{3} x^{6}-8 a^{2} b \,x^{4}+6 a \,b^{2} x^{2}-5 b^{3}\right)}{35 \sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, b^{4} x^{8}}"," ",0,"1/35*(a*x^2+b)*(16*a^3*x^6-8*a^2*b*x^4+6*a*b^2*x^2-5*b^3)/x^8/b^4/((a*x^2+b)/x^2)^(1/2)","A"
1922,1,50,54,0.006000," ","int(x^4/(a+b/x^2)^(1/2),x)","\frac{\left(a \,x^{2}+b \right) \left(3 a^{2} x^{4}-4 a b \,x^{2}+8 b^{2}\right)}{15 \sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, a^{3} x}"," ",0,"1/15*(a*x^2+b)*(3*a^2*x^4-4*a*b*x^2+8*b^2)/a^3/x/((a*x^2+b)/x^2)^(1/2)","A"
1923,1,38,34,0.006000," ","int(x^2/(a+b/x^2)^(1/2),x)","\frac{\left(a \,x^{2}+b \right) \left(a \,x^{2}-2 b \right)}{3 \sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, a^{2} x}"," ",0,"1/3*(a*x^2+b)*(a*x^2-2*b)/a^2/x/((a*x^2+b)/x^2)^(1/2)","A"
1924,1,28,14,0.002000," ","int(1/(a+b/x^2)^(1/2),x)","\frac{a \,x^{2}+b}{\sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, a x}"," ",0,"(a*x^2+b)/a/x/((a*x^2+b)/x^2)^(1/2)","A"
1925,1,52,22,0.006000," ","int(1/(a+b/x^2)^(1/2)/x^2,x)","-\frac{\sqrt{a \,x^{2}+b}\, \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)}{\sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, \sqrt{b}\, x}"," ",0,"-1/((a*x^2+b)/x^2)^(1/2)/x*(a*x^2+b)^(1/2)/b^(1/2)*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)","B"
1926,1,73,41,0.007000," ","int(1/(a+b/x^2)^(1/2)/x^4,x)","-\frac{\sqrt{a \,x^{2}+b}\, \left(-a b \,x^{2} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)+\sqrt{a \,x^{2}+b}\, b^{\frac{3}{2}}\right)}{2 \sqrt{\frac{a \,x^{2}+b}{x^{2}}}\, b^{\frac{5}{2}} x^{3}}"," ",0,"-1/2*(a*x^2+b)^(1/2)*(-a*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*x^2*b+(a*x^2+b)^(1/2)*b^(3/2))/((a*x^2+b)/x^2)^(1/2)/x^3/b^(5/2)","A"
1927,1,50,21,0.012000," ","int(1/x/(-a+b/x^2)^(1/2),x)","\frac{\sqrt{-a \,x^{2}+b}\, \arctan \left(\frac{\sqrt{a}\, x}{\sqrt{-a \,x^{2}+b}}\right)}{\sqrt{-\frac{a \,x^{2}-b}{x^{2}}}\, \sqrt{a}\, x}"," ",0,"1/(-(a*x^2-b)/x^2)^(1/2)/x*(-a*x^2+b)^(1/2)/a^(1/2)*arctan(a^(1/2)*x/(-a*x^2+b)^(1/2))","B"
1928,1,52,14,0.013000," ","int(1/x^2/(2+b/x^2)^(1/2),x)","-\frac{\sqrt{2 x^{2}+b}\, \ln \left(\frac{2 b +2 \sqrt{2 x^{2}+b}\, \sqrt{b}}{x}\right)}{\sqrt{\frac{2 x^{2}+b}{x^{2}}}\, \sqrt{b}\, x}"," ",0,"-1/((2*x^2+b)/x^2)^(1/2)/x*(2*x^2+b)^(1/2)/b^(1/2)*ln(2*(b^(1/2)*(2*x^2+b)^(1/2)+b)/x)","B"
1929,1,64,14,0.011000," ","int(1/x^2/(2-b/x^2)^(1/2),x)","-\frac{\sqrt{2 x^{2}-b}\, \ln \left(\frac{-2 b +2 \sqrt{-b}\, \sqrt{2 x^{2}-b}}{x}\right)}{\sqrt{\frac{2 x^{2}-b}{x^{2}}}\, \sqrt{-b}\, x}"," ",0,"-1/((2*x^2-b)/x^2)^(1/2)/x*(2*x^2-b)^(1/2)/(-b)^(1/2)*ln(2*((-b)^(1/2)*(2*x^2-b)^(1/2)-b)/x)","B"
1930,1,87,75,0.010000," ","int(x^3/(a+b/x^2)^(3/2),x)","\frac{\left(a \,x^{2}+b \right) \left(2 a^{\frac{7}{2}} x^{5}-5 a^{\frac{5}{2}} b \,x^{3}-15 a^{\frac{3}{2}} b^{2} x +15 \sqrt{a \,x^{2}+b}\, a \,b^{2} \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)\right)}{8 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} a^{\frac{9}{2}} x^{3}}"," ",0,"1/8*(a*x^2+b)*(2*x^5*a^(7/2)-5*a^(5/2)*x^3*b-15*a^(3/2)*x*b^2+15*(a*x^2+b)^(1/2)*ln(a^(1/2)*x+(a*x^2+b)^(1/2))*a*b^2)/((a*x^2+b)/x^2)^(3/2)/x^3/a^(9/2)","A"
1931,1,73,53,0.009000," ","int(x/(a+b/x^2)^(3/2),x)","\frac{\left(a \,x^{2}+b \right) \left(a^{\frac{5}{2}} x^{3}+3 a^{\frac{3}{2}} b x -3 \sqrt{a \,x^{2}+b}\, a b \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)\right)}{2 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} a^{\frac{7}{2}} x^{3}}"," ",0,"1/2*(a*x^2+b)*(x^3*a^(5/2)+3*a^(3/2)*x*b-3*ln(a^(1/2)*x+(a*x^2+b)^(1/2))*(a*x^2+b)^(1/2)*a*b)/((a*x^2+b)/x^2)^(3/2)/x^3/a^(7/2)","A"
1932,1,63,33,0.007000," ","int(1/(a+b/x^2)^(3/2)/x,x)","-\frac{\left(a \,x^{2}+b \right) \left(a^{\frac{3}{2}} x -\sqrt{a \,x^{2}+b}\, a \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)\right)}{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} a^{\frac{5}{2}} x^{3}}"," ",0,"-(a*x^2+b)*(x*a^(3/2)-ln(a^(1/2)*x+(a*x^2+b)^(1/2))*a*(a*x^2+b)^(1/2))/((a*x^2+b)/x^2)^(3/2)/x^3/a^(5/2)","A"
1933,1,28,13,0.003000," ","int(1/(a+b/x^2)^(3/2)/x^3,x)","\frac{a \,x^{2}+b}{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} b \,x^{2}}"," ",0,"(a*x^2+b)/b/x^2/((a*x^2+b)/x^2)^(3/2)","B"
1934,1,37,30,0.004000," ","int(1/(a+b/x^2)^(3/2)/x^5,x)","-\frac{\left(a \,x^{2}+b \right) \left(2 a \,x^{2}+b \right)}{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} b^{2} x^{4}}"," ",0,"-(a*x^2+b)*(2*a*x^2+b)/x^4/b^2/((a*x^2+b)/x^2)^(3/2)","A"
1935,1,50,46,0.007000," ","int(1/(a+b/x^2)^(3/2)/x^7,x)","\frac{\left(a \,x^{2}+b \right) \left(8 a^{2} x^{4}+4 a b \,x^{2}-b^{2}\right)}{3 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} b^{3} x^{6}}"," ",0,"1/3*(a*x^2+b)*(8*a^2*x^4+4*a*b*x^2-b^2)/x^6/b^3/((a*x^2+b)/x^2)^(3/2)","A"
1936,1,59,63,0.007000," ","int(1/(a+b/x^2)^(3/2)/x^9,x)","-\frac{\left(a \,x^{2}+b \right) \left(16 a^{3} x^{6}+8 a^{2} b \,x^{4}-2 a \,b^{2} x^{2}+b^{3}\right)}{5 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} b^{4} x^{8}}"," ",0,"-1/5*(a*x^2+b)*(16*a^3*x^6+8*a^2*b*x^4-2*a*b^2*x^2+b^3)/x^8/b^4/((a*x^2+b)/x^2)^(3/2)","A"
1937,1,60,72,0.007000," ","int(x^4/(a+b/x^2)^(3/2),x)","\frac{\left(a \,x^{2}+b \right) \left(a^{3} x^{6}-2 a^{2} b \,x^{4}+8 a \,b^{2} x^{2}+16 b^{3}\right)}{5 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} a^{4} x^{3}}"," ",0,"1/5*(a*x^2+b)*(a^3*x^6-2*a^2*b*x^4+8*a*b^2*x^2+16*b^3)/a^4/x^3/((a*x^2+b)/x^2)^(3/2)","A"
1938,1,49,50,0.006000," ","int(x^2/(a+b/x^2)^(3/2),x)","\frac{\left(a \,x^{2}+b \right) \left(a^{2} x^{4}-4 a b \,x^{2}-8 b^{2}\right)}{3 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} a^{3} x^{3}}"," ",0,"1/3*(a*x^2+b)*(a^2*x^4-4*a*b*x^2-8*b^2)/a^3/x^3/((a*x^2+b)/x^2)^(3/2)","A"
1939,1,37,31,0.004000," ","int(1/(a+b/x^2)^(3/2),x)","\frac{\left(a \,x^{2}+b \right) \left(a \,x^{2}+2 b \right)}{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} a^{2} x^{3}}"," ",0,"(a*x^2+b)*(a*x^2+2*b)/a^2/x^3/((a*x^2+b)/x^2)^(3/2)","A"
1940,1,29,17,0.004000," ","int(1/(a+b/x^2)^(3/2)/x^2,x)","-\frac{a \,x^{2}+b}{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} a \,x^{3}}"," ",0,"-(a*x^2+b)/a/x^3/((a*x^2+b)/x^2)^(3/2)","A"
1941,1,67,39,0.008000," ","int(1/(a+b/x^2)^(3/2)/x^4,x)","-\frac{\left(a \,x^{2}+b \right) \left(\sqrt{a \,x^{2}+b}\, b \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)-b^{\frac{3}{2}}\right)}{\left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} b^{\frac{5}{2}} x^{3}}"," ",0,"-(a*x^2+b)*(ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*b*(a*x^2+b)^(1/2)-b^(3/2))/((a*x^2+b)/x^2)^(3/2)/x^3/b^(5/2)","A"
1942,1,81,57,0.009000," ","int(1/(a+b/x^2)^(3/2)/x^6,x)","\frac{\left(a \,x^{2}+b \right) \left(3 \sqrt{a \,x^{2}+b}\, a b \,x^{2} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)-3 a \,b^{\frac{3}{2}} x^{2}-b^{\frac{5}{2}}\right)}{2 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} b^{\frac{7}{2}} x^{5}}"," ",0,"1/2*(a*x^2+b)*(3*(a*x^2+b)^(1/2)*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*x^2*a*b-3*b^(3/2)*x^2*a-b^(5/2))/((a*x^2+b)/x^2)^(3/2)/x^5/b^(7/2)","A"
1943,1,94,77,0.010000," ","int(1/(a+b/x^2)^(3/2)/x^8,x)","-\frac{\left(a \,x^{2}+b \right) \left(15 \sqrt{a \,x^{2}+b}\, a^{2} b \,x^{4} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)-15 a^{2} b^{\frac{3}{2}} x^{4}-5 a \,b^{\frac{5}{2}} x^{2}+2 b^{\frac{7}{2}}\right)}{8 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{3}{2}} b^{\frac{9}{2}} x^{7}}"," ",0,"-1/8*(a*x^2+b)*(15*(a*x^2+b)^(1/2)*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*x^4*a^2*b-15*b^(3/2)*x^4*a^2-5*b^(5/2)*x^2*a+2*b^(7/2))/((a*x^2+b)/x^2)^(3/2)/x^7/b^(9/2)","A"
1944,1,98,92,0.015000," ","int(x^3/(a+b/x^2)^(5/2),x)","\frac{\left(a \,x^{2}+b \right) \left(6 a^{\frac{9}{2}} x^{7}-21 a^{\frac{7}{2}} b \,x^{5}-140 a^{\frac{5}{2}} b^{2} x^{3}-105 a^{\frac{3}{2}} b^{3} x +105 \left(a \,x^{2}+b \right)^{\frac{3}{2}} a \,b^{2} \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)\right)}{24 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} a^{\frac{11}{2}} x^{5}}"," ",0,"1/24*(a*x^2+b)*(6*x^7*a^(9/2)-21*a^(7/2)*x^5*b-140*a^(5/2)*x^3*b^2-105*a^(3/2)*x*b^3+105*ln(a^(1/2)*x+(a*x^2+b)^(1/2))*(a*x^2+b)^(3/2)*a*b^2)/((a*x^2+b)/x^2)^(5/2)/x^5/a^(11/2)","A"
1945,1,85,68,0.010000," ","int(x/(a+b/x^2)^(5/2),x)","\frac{\left(a \,x^{2}+b \right) \left(3 a^{\frac{7}{2}} x^{5}+20 a^{\frac{5}{2}} b \,x^{3}+15 a^{\frac{3}{2}} b^{2} x -15 \left(a \,x^{2}+b \right)^{\frac{3}{2}} a b \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)\right)}{6 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} a^{\frac{9}{2}} x^{5}}"," ",0,"1/6*(a*x^2+b)*(3*a^(7/2)*x^5+20*a^(5/2)*b*x^3+15*a^(3/2)*b^2*x-15*ln(a^(1/2)*x+(a*x^2+b)^(1/2))*(a*x^2+b)^(3/2)*a*b)/((a*x^2+b)/x^2)^(5/2)/x^5/a^(9/2)","A"
1946,1,73,47,0.009000," ","int(1/(a+b/x^2)^(5/2)/x,x)","-\frac{\left(a \,x^{2}+b \right) \left(4 a^{\frac{5}{2}} x^{3}+3 a^{\frac{3}{2}} b x -3 \left(a \,x^{2}+b \right)^{\frac{3}{2}} a \ln \left(\sqrt{a}\, x +\sqrt{a \,x^{2}+b}\right)\right)}{3 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} a^{\frac{7}{2}} x^{5}}"," ",0,"-1/3*(a*x^2+b)*(4*a^(5/2)*x^3+3*a^(3/2)*b*x-3*ln(a^(1/2)*x+(a*x^2+b)^(1/2))*(a*x^2+b)^(3/2)*a)/((a*x^2+b)/x^2)^(5/2)/x^5/a^(7/2)","A"
1947,1,29,14,0.006000," ","int(1/(a+b/x^2)^(5/2)/x^3,x)","\frac{a \,x^{2}+b}{3 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} b \,x^{2}}"," ",0,"1/3*(a*x^2+b)/b/x^2/((a*x^2+b)/x^2)^(5/2)","A"
1948,1,39,29,0.003000," ","int(1/(a+b/x^2)^(5/2)/x^5,x)","\frac{\left(a \,x^{2}+b \right) \left(2 a \,x^{2}+3 b \right)}{3 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} b^{2} x^{4}}"," ",0,"1/3*(a*x^2+b)/x^4*(2*a*x^2+3*b)/b^2/((a*x^2+b)/x^2)^(5/2)","A"
1949,1,50,47,0.006000," ","int(1/(a+b/x^2)^(5/2)/x^7,x)","-\frac{\left(a \,x^{2}+b \right) \left(8 a^{2} x^{4}+12 a b \,x^{2}+3 b^{2}\right)}{3 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} b^{3} x^{6}}"," ",0,"-1/3*(a*x^2+b)*(8*a^2*x^4+12*a*b*x^2+3*b^2)/x^6/b^3/((a*x^2+b)/x^2)^(5/2)","A"
1950,1,61,64,0.006000," ","int(1/(a+b/x^2)^(5/2)/x^9,x)","\frac{\left(a \,x^{2}+b \right) \left(16 a^{3} x^{6}+24 a^{2} b \,x^{4}+6 a \,b^{2} x^{2}-b^{3}\right)}{3 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} b^{4} x^{8}}"," ",0,"1/3*(a*x^2+b)*(16*a^3*x^6+24*a^2*b*x^4+6*a*b^2*x^2-b^3)/x^8/b^4/((a*x^2+b)/x^2)^(5/2)","A"
1951,1,60,66,0.008000," ","int(x^2/(a+b/x^2)^(5/2),x)","\frac{\left(a \,x^{2}+b \right) \left(a^{3} x^{6}-6 a^{2} b \,x^{4}-24 a \,b^{2} x^{2}-16 b^{3}\right)}{3 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} a^{4} x^{5}}"," ",0,"1/3*(a*x^2+b)*(a^3*x^6-6*a^2*b*x^4-24*a*b^2*x^2-16*b^3)/a^4/x^5/((a*x^2+b)/x^2)^(5/2)","A"
1952,1,50,46,0.006000," ","int(1/(a+b/x^2)^(5/2),x)","\frac{\left(a \,x^{2}+b \right) \left(3 a^{2} x^{4}+12 a b \,x^{2}+8 b^{2}\right)}{3 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} a^{3} x^{5}}"," ",0,"1/3*(a*x^2+b)*(3*a^2*x^4+12*a*b*x^2+8*b^2)/a^3/x^5/((a*x^2+b)/x^2)^(5/2)","A"
1953,1,39,36,0.007000," ","int(1/(a+b/x^2)^(5/2)/x^2,x)","-\frac{\left(a \,x^{2}+b \right) \left(3 a \,x^{2}+2 b \right)}{3 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} a^{2} x^{5}}"," ",0,"-1/3*(a*x^2+b)*(3*a*x^2+2*b)/a^2/x^5/((a*x^2+b)/x^2)^(5/2)","A"
1954,1,29,17,0.003000," ","int(1/(a+b/x^2)^(5/2)/x^4,x)","-\frac{a \,x^{2}+b}{3 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} a \,x^{5}}"," ",0,"-1/3*(a*x^2+b)/a/x^5/((a*x^2+b)/x^2)^(5/2)","A"
1955,1,77,56,0.010000," ","int(1/(a+b/x^2)^(5/2)/x^6,x)","\frac{\left(a \,x^{2}+b \right) \left(3 a \,b^{\frac{3}{2}} x^{2}+4 b^{\frac{5}{2}}-3 \left(a \,x^{2}+b \right)^{\frac{3}{2}} b \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)\right)}{3 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} b^{\frac{7}{2}} x^{5}}"," ",0,"1/3*(a*x^2+b)*(3*a*b^(3/2)*x^2+4*b^(5/2)-3*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*(a*x^2+b)^(3/2)*b)/((a*x^2+b)/x^2)^(5/2)/x^5/b^(7/2)","A"
1956,1,92,75,0.009000," ","int(1/(a+b/x^2)^(5/2)/x^8,x)","-\frac{\left(a \,x^{2}+b \right) \left(15 a^{2} b^{\frac{3}{2}} x^{4}+20 a \,b^{\frac{5}{2}} x^{2}-15 \left(a \,x^{2}+b \right)^{\frac{3}{2}} a b \,x^{2} \ln \left(\frac{2 b +2 \sqrt{a \,x^{2}+b}\, \sqrt{b}}{x}\right)+3 b^{\frac{7}{2}}\right)}{6 \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{\frac{5}{2}} b^{\frac{9}{2}} x^{7}}"," ",0,"-1/6*(a*x^2+b)*(15*a^2*b^(3/2)*x^4+20*a*b^(5/2)*x^2-15*ln(2*(b+(a*x^2+b)^(1/2)*b^(1/2))/x)*(a*x^2+b)^(3/2)*x^2*a*b+3*b^(7/2))/((a*x^2+b)/x^2)^(5/2)/x^7/b^(9/2)","A"
1957,1,22,9,0.003000," ","int((1+1/x^2)^(1/3)/x^3,x)","-\frac{3 \left(x^{2}+1\right) \left(\frac{x^{2}+1}{x^{2}}\right)^{\frac{1}{3}}}{8 x^{2}}"," ",0,"-3/8/x^2*(x^2+1)*((x^2+1)/x^2)^(1/3)","B"
1958,1,22,9,0.003000," ","int((1+1/x^2)^(5/3)/x^3,x)","-\frac{3 \left(x^{2}+1\right) \left(\frac{x^{2}+1}{x^{2}}\right)^{\frac{5}{3}}}{16 x^{2}}"," ",0,"-3/16/x^2*(x^2+1)*((x^2+1)/x^2)^(5/3)","B"
1959,0,0,36,0.017000," ","int((1+b/x^2)^(3/2)*(c*x)^m,x)","\int \left(\frac{b}{x^{2}}+1\right)^{\frac{3}{2}} \left(c x \right)^{m}\, dx"," ",0,"int((1+b/x^2)^(3/2)*(c*x)^m,x)","F"
1960,0,0,36,0.011000," ","int((b/x^2+1)^(1/2)*(c*x)^m,x)","\int \sqrt{\frac{b}{x^{2}}+1}\, \left(c x \right)^{m}\, dx"," ",0,"int((b/x^2+1)^(1/2)*(c*x)^m,x)","F"
1961,0,0,36,0.014000," ","int((c*x)^m/(b/x^2+1)^(1/2),x)","\int \frac{\left(c x \right)^{m}}{\sqrt{\frac{b}{x^{2}}+1}}\, dx"," ",0,"int((c*x)^m/(b/x^2+1)^(1/2),x)","F"
1962,0,0,36,0.011000," ","int((c*x)^m/(b/x^2+1)^(3/2),x)","\int \frac{\left(c x \right)^{m}}{\left(\frac{b}{x^{2}}+1\right)^{\frac{3}{2}}}\, dx"," ",0,"int((c*x)^m/(b/x^2+1)^(3/2),x)","F"
1963,0,0,38,0.131000," ","int((b/x^2+1)^p*(c*x)^m,x)","\int \left(c x \right)^{m} \left(\frac{b}{x^{2}}+1\right)^{p}\, dx"," ",0,"int((b/x^2+1)^p*(c*x)^m,x)","F"
1964,0,0,64,0.093000," ","int((a+b/x^2)^p*(c*x)^m,x)","\int \left(c x \right)^{m} \left(a +\frac{b}{x^{2}}\right)^{p}\, dx"," ",0,"int((a+b/x^2)^p*(c*x)^m,x)","F"
1965,1,35,34,0.004000," ","int(x^5/(a+b/x^3),x)","\frac{x^{6}}{6 a}-\frac{b \,x^{3}}{3 a^{2}}+\frac{b^{2} \ln \left(a \,x^{3}+b \right)}{3 a^{3}}"," ",0,"-1/3/a^2*b*x^3+1/6/a*x^6+1/3*b^2*ln(a*x^3+b)/a^3","A"
1966,1,117,95,0.006000," ","int(x^4/(a+b/x^3),x)","\frac{x^{5}}{5 a}-\frac{b \,x^{2}}{2 a^{2}}+\frac{\sqrt{3}\, b^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{3}}-\frac{b^{2} \ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{3}}+\frac{b^{2} \ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{3}}"," ",0,"1/5/a*x^5-1/2/a^2*b*x^2-1/3/a^3*b^2/(1/a*b)^(1/3)*ln(x+(1/a*b)^(1/3))+1/6/a^3*b^2/(1/a*b)^(1/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))+1/3/a^3*b^2*3^(1/2)/(1/a*b)^(1/3)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1967,1,115,93,0.004000," ","int(x^3/(a+b/x^3),x)","\frac{x^{4}}{4 a}-\frac{b x}{a^{2}}+\frac{\sqrt{3}\, b^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{3}}+\frac{b^{2} \ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{3}}-\frac{b^{2} \ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{3}}"," ",0,"1/4/a*x^4-1/a^2*b*x+1/3/a^3*b^2/(1/a*b)^(2/3)*ln(x+(1/a*b)^(1/3))-1/6/a^3*b^2/(1/a*b)^(2/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))+1/3/a^3*b^2/(1/a*b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1968,1,24,23,0.002000," ","int(x^2/(a+b/x^3),x)","\frac{x^{3}}{3 a}-\frac{b \ln \left(a \,x^{3}+b \right)}{3 a^{2}}"," ",0,"1/3/a*x^3-1/3*b*ln(a*x^3+b)/a^2","A"
1969,1,102,86,0.003000," ","int(x/(a+b/x^3),x)","\frac{x^{2}}{2 a}-\frac{\sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{2}}+\frac{b \ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{2}}-\frac{b \ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{2}}"," ",0,"1/2/a*x^2+1/3/a^2*b/(1/a*b)^(1/3)*ln(x+(1/a*b)^(1/3))-1/6/a^2*b/(1/a*b)^(1/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))-1/3/a^2*b*3^(1/2)/(1/a*b)^(1/3)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1970,1,99,83,0.003000," ","int(1/(a+b/x^3),x)","\frac{x}{a}-\frac{\sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{2}}-\frac{b \ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{2}}+\frac{b \ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{2}}"," ",0,"1/a*x-1/3/a^2*b/(1/a*b)^(2/3)*ln(x+(1/a*b)^(1/3))+1/6/a^2*b/(1/a*b)^(2/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))-1/3/a^2*b/(1/a*b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1971,1,14,13,0.002000," ","int(1/(a+b/x^3)/x,x)","\frac{\ln \left(a \,x^{3}+b \right)}{3 a}"," ",0,"1/3*ln(a*x^3+b)/a","A"
1972,1,91,78,0.002000," ","int(1/(a+b/x^3)/x^2,x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{b}{a}\right)^{\frac{1}{3}} a}-\frac{\ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{b}{a}\right)^{\frac{1}{3}} a}+\frac{\ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{b}{a}\right)^{\frac{1}{3}} a}"," ",0,"-1/3/a/(1/a*b)^(1/3)*ln(x+(1/a*b)^(1/3))+1/6/a/(1/a*b)^(1/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))+1/3*3^(1/2)/a/(1/a*b)^(1/3)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1973,1,91,78,0.002000," ","int(1/(a+b/x^3)/x^3,x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{b}{a}\right)^{\frac{2}{3}} a}+\frac{\ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{b}{a}\right)^{\frac{2}{3}} a}-\frac{\ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{b}{a}\right)^{\frac{2}{3}} a}"," ",0,"1/3/a/(1/a*b)^(2/3)*ln(x+(1/a*b)^(1/3))-1/6/a/(1/a*b)^(2/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))+1/3/a/(1/a*b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1974,1,21,13,0.003000," ","int(1/(a+b/x^3)/x^4,x)","\frac{\ln \left(x \right)}{b}-\frac{\ln \left(a \,x^{3}+b \right)}{3 b}"," ",0,"-1/3/b*ln(a*x^3+b)+1/b*ln(x)","A"
1975,1,99,86,0.004000," ","int(1/(a+b/x^3)/x^5,x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{b}{a}\right)^{\frac{1}{3}} b}+\frac{\ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{b}{a}\right)^{\frac{1}{3}} b}-\frac{\ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{b}{a}\right)^{\frac{1}{3}} b}-\frac{1}{b x}"," ",0,"1/3/b/(1/a*b)^(1/3)*ln(x+(1/a*b)^(1/3))-1/6/b/(1/a*b)^(1/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))-1/3/b*3^(1/2)/(1/a*b)^(1/3)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))-1/b/x","A"
1976,1,99,86,0.005000," ","int(1/(a+b/x^3)/x^6,x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{b}{a}\right)^{\frac{2}{3}} b}-\frac{\ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{b}{a}\right)^{\frac{2}{3}} b}+\frac{\ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{b}{a}\right)^{\frac{2}{3}} b}-\frac{1}{2 b \,x^{2}}"," ",0,"-1/3/b/(1/a*b)^(2/3)*ln(x+(1/a*b)^(1/3))+1/6/b/(1/a*b)^(2/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))-1/3/b/(1/a*b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))-1/2/b/x^2","A"
1977,1,32,31,0.007000," ","int(1/(a+b/x^3)/x^7,x)","-\frac{a \ln \left(x \right)}{b^{2}}+\frac{a \ln \left(a \,x^{3}+b \right)}{3 b^{2}}-\frac{1}{3 b \,x^{3}}"," ",0,"-1/3/b/x^3-a/b^2*ln(x)+1/3*a*ln(a*x^3+b)/b^2","A"
1978,1,51,50,0.007000," ","int(x^5/(a+b/x^3)^2,x)","\frac{x^{6}}{6 a^{2}}-\frac{2 b \,x^{3}}{3 a^{3}}+\frac{b^{3}}{3 \left(a \,x^{3}+b \right) a^{4}}+\frac{b^{2} \ln \left(a \,x^{3}+b \right)}{a^{4}}"," ",0,"-2/3/a^3*b*x^3+1/6/a^2*x^6+1/3*b^3/a^4/(a*x^3+b)+b^2*ln(a*x^3+b)/a^4","A"
1979,1,137,112,0.010000," ","int(x^4/(a+b/x^3)^2,x)","\frac{x^{5}}{5 a^{2}}-\frac{b^{2} x^{2}}{3 \left(a \,x^{3}+b \right) a^{3}}-\frac{b \,x^{2}}{a^{3}}+\frac{8 \sqrt{3}\, b^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{4}}-\frac{8 b^{2} \ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{4}}+\frac{4 b^{2} \ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{4}}"," ",0,"1/5/a^2*x^5-1/a^3*b*x^2-1/3/a^3*b^2*x^2/(a*x^3+b)-8/9/a^4*b^2/(1/a*b)^(1/3)*ln(x+(1/a*b)^(1/3))+4/9/a^4*b^2/(1/a*b)^(1/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))+8/9/a^4*b^2*3^(1/2)/(1/a*b)^(1/3)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1980,1,133,110,0.008000," ","int(x^3/(a+b/x^3)^2,x)","\frac{x^{4}}{4 a^{2}}-\frac{b^{2} x}{3 \left(a \,x^{3}+b \right) a^{3}}-\frac{2 b x}{a^{3}}+\frac{7 \sqrt{3}\, b^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{4}}+\frac{7 b^{2} \ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{4}}-\frac{7 b^{2} \ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{4}}"," ",0,"1/4/a^2*x^4-2/a^3*b*x-1/3/a^3*b^2*x/(a*x^3+b)+7/9/a^4*b^2/(1/a*b)^(2/3)*ln(x+(1/a*b)^(1/3))-7/18/a^4*b^2/(1/a*b)^(2/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))+7/9/a^4*b^2/(1/a*b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1981,1,41,40,0.007000," ","int(x^2/(a+b/x^3)^2,x)","\frac{x^{3}}{3 a^{2}}-\frac{b^{2}}{3 \left(a \,x^{3}+b \right) a^{3}}-\frac{2 b \ln \left(a \,x^{3}+b \right)}{3 a^{3}}"," ",0,"1/3/a^2*x^3-1/3*b^2/a^3/(a*x^3+b)-2/3*b*ln(a*x^3+b)/a^3","A"
1982,1,120,103,0.008000," ","int(x/(a+b/x^3)^2,x)","\frac{b \,x^{2}}{3 \left(a \,x^{3}+b \right) a^{2}}+\frac{x^{2}}{2 a^{2}}-\frac{5 \sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{3}}+\frac{5 b \ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{3}}-\frac{5 b \ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{3}}"," ",0,"1/2/a^2*x^2+1/3/a^2*b*x^2/(a*x^3+b)+5/9/a^3*b/(1/a*b)^(1/3)*ln(x+(1/a*b)^(1/3))-5/18/a^3*b/(1/a*b)^(1/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))-5/9/a^3*b*3^(1/2)/(1/a*b)^(1/3)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1983,1,115,101,0.009000," ","int(1/(a+b/x^3)^2,x)","\frac{b x}{3 \left(a \,x^{3}+b \right) a^{2}}+\frac{x}{a^{2}}-\frac{4 \sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{3}}-\frac{4 b \ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{3}}+\frac{2 b \ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{3}}"," ",0,"1/a^2*x+1/3/a^2*b*x/(a*x^3+b)-4/9/a^3*b/(1/a*b)^(2/3)*ln(x+(1/a*b)^(1/3))+2/9/a^3*b/(1/a*b)^(2/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))-4/9/a^3*b/(1/a*b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1984,1,30,29,0.004000," ","int(1/(a+b/x^3)^2/x,x)","\frac{b}{3 \left(a \,x^{3}+b \right) a^{2}}+\frac{\ln \left(a \,x^{3}+b \right)}{3 a^{2}}"," ",0,"1/3*b/a^2/(a*x^3+b)+1/3*ln(a*x^3+b)/a^2","A"
1985,1,108,95,0.009000," ","int(1/(a+b/x^3)^2/x^2,x)","-\frac{x^{2}}{3 \left(a \,x^{3}+b \right) a}+\frac{2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{2}}-\frac{2 \ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{2}}+\frac{\ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{b}{a}\right)^{\frac{1}{3}} a^{2}}"," ",0,"-1/3*x^2/a/(a*x^3+b)-2/9/a^2/(1/a*b)^(1/3)*ln(x+(1/a*b)^(1/3))+1/9/a^2/(1/a*b)^(1/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))+2/9/a^2*3^(1/2)/(1/a*b)^(1/3)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1986,1,106,93,0.010000," ","int(1/(a+b/x^3)^2/x^3,x)","-\frac{x}{3 \left(a \,x^{3}+b \right) a}+\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{2}}+\frac{\ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{2}}-\frac{\ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{b}{a}\right)^{\frac{2}{3}} a^{2}}"," ",0,"-1/3*x/a/(a*x^3+b)+1/9/a^2/(1/a*b)^(2/3)*ln(x+(1/a*b)^(1/3))-1/18/a^2/(1/a*b)^(2/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))+1/9/a^2/(1/a*b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1987,1,15,14,0.002000," ","int(1/(a+b/x^3)^2/x^4,x)","-\frac{1}{3 \left(a \,x^{3}+b \right) a}"," ",0,"-1/3/a/(a*x^3+b)","A"
1988,1,117,95,0.005000," ","int(1/(a+b/x^3)^2/x^5,x)","\frac{x^{2}}{3 \left(a \,x^{3}+b \right) b}+\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{b}{a}\right)^{\frac{1}{3}} a b}-\frac{\ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{b}{a}\right)^{\frac{1}{3}} a b}+\frac{\ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{b}{a}\right)^{\frac{1}{3}} a b}"," ",0,"1/3*x^2/b/(a*x^3+b)-1/9/b/a/(1/a*b)^(1/3)*ln(x+(1/a*b)^(1/3))+1/18/b/a/(1/a*b)^(1/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))+1/9/b*3^(1/2)/a/(1/a*b)^(1/3)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1989,1,115,93,0.005000," ","int(1/(a+b/x^3)^2/x^6,x)","\frac{x}{3 \left(a \,x^{3}+b \right) b}+\frac{2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{b}{a}\right)^{\frac{2}{3}} a b}+\frac{2 \ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{b}{a}\right)^{\frac{2}{3}} a b}-\frac{\ln \left(x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{3}} x +\left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{b}{a}\right)^{\frac{2}{3}} a b}"," ",0,"1/3*x/b/(a*x^3+b)+2/9/b/a/(1/a*b)^(2/3)*ln(x+(1/a*b)^(1/3))-1/9/b/a/(1/a*b)^(2/3)*ln(x^2-(1/a*b)^(1/3)*x+(1/a*b)^(2/3))+2/9/b/a/(1/a*b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(1/a*b)^(1/3)*x-1))","A"
1990,1,35,34,0.009000," ","int(1/(a+b/x^3)^2/x^7,x)","\frac{1}{3 \left(a \,x^{3}+b \right) b}+\frac{\ln \left(x \right)}{b^{2}}-\frac{\ln \left(a \,x^{3}+b \right)}{3 b^{2}}"," ",0,"1/3/b/(a*x^3+b)+1/b^2*ln(x)-1/3*ln(a*x^3+b)/b^2","A"
1991,1,3560,55,0.676000," ","int(x^5*(a+b/x^3)^(1/2),x)","\text{output too large to display}"," ",0,"1/12*((a*x^3+b)/x^3)^(1/2)*x^2/a^3*(I*(a*x^4+b*x)^(1/2)*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)*3^(1/2)*x*a^2*b+12*I*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x*a*b^2-6*I*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*b^2+6*I*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^2*a^2*b^2+2*I*(a*x^4+b*x)^(1/2)*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)*3^(1/2)*x^4*a^3+6*I*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*b^2-6*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b^2-12*I*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x*a*b^2+6*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b^2-6*x^4*(a*x^4+b*x)^(1/2)*a^3*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)+12*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x*a*b^2-12*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x*a*b^2-6*I*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^2*a^2*b^2-6*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*b^2+6*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*b^2-3*b*x*(a*x^4+b*x)^(1/2)*a^2*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2))/(x*(a*x^3+b))^(1/2)/(I*3^(1/2)-3)/(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)","C"
1992,1,3340,35,0.030000," ","int(x^2*(a+b/x^3)^(1/2),x)","\text{output too large to display}"," ",0,"-1/3*((a*x^3+b)/x^3)^(1/2)*x^2/a^2*(6*I*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b-6*I*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b-12*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b+12*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b+6*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b-6*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b-6*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b+6*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b+12*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b-12*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b-6*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b+6*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b-I*3^(1/2)*(a*x^4+b*x)^(1/2)*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)*x*a^2+3*x*(a*x^4+b*x)^(1/2)*a^2*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2))/(x*(a*x^3+b))^(1/2)/(I*3^(1/2)-3)/(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)","C"
1993,1,3339,31,0.030000," ","int((a+b/x^3)^(1/2)/x,x)","\text{output too large to display}"," ",0,"-2/3*((a*x^3+b)/x^3)^(1/2)/a*(6*I*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a^2-6*I*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a^2-12*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^3*a+12*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^3*a+6*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2-6*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2-6*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a^2+6*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a^2+12*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^3*a-12*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^3*a-6*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2+6*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2+I*3^(1/2)*(a*x^4+b*x)^(1/2)*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)*a-3*(a*x^4+b*x)^(1/2)*a*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2))/(x*(a*x^3+b))^(1/2)/(I*3^(1/2)-3)/(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)","C"
1994,1,29,14,0.004000," ","int((a+b/x^3)^(1/2)/x^4,x)","-\frac{2 \left(a \,x^{3}+b \right) \sqrt{\frac{a \,x^{3}+b}{x^{3}}}}{9 b \,x^{3}}"," ",0,"-2/9/x^3*(a*x^3+b)/b*((a*x^3+b)/x^3)^(1/2)","A"
1995,1,39,30,0.005000," ","int((a+b/x^3)^(1/2)/x^7,x)","\frac{2 \left(a \,x^{3}+b \right) \left(2 a \,x^{3}-3 b \right) \sqrt{\frac{a \,x^{3}+b}{x^{3}}}}{45 b^{2} x^{6}}"," ",0,"2/45*(a*x^3+b)*(2*a*x^3-3*b)*((a*x^3+b)/x^3)^(1/2)/b^2/x^6","A"
1996,1,50,47,0.006000," ","int((a+b/x^3)^(1/2)/x^10,x)","-\frac{2 \left(a \,x^{3}+b \right) \left(8 a^{2} x^{6}-12 a b \,x^{3}+15 b^{2}\right) \sqrt{\frac{a \,x^{3}+b}{x^{3}}}}{315 b^{3} x^{9}}"," ",0,"-2/315*(a*x^3+b)*(8*a^2*x^6-12*a*b*x^3+15*b^2)*((a*x^3+b)/x^3)^(1/2)/b^3/x^9","A"
1997,1,61,64,0.006000," ","int((a+b/x^3)^(1/2)/x^13,x)","\frac{2 \left(a \,x^{3}+b \right) \left(16 a^{3} x^{9}-24 a^{2} b \,x^{6}+30 a \,b^{2} x^{3}-35 b^{3}\right) \sqrt{\frac{a \,x^{3}+b}{x^{3}}}}{945 b^{4} x^{12}}"," ",0,"2/945*(a*x^3+b)*(16*a^3*x^9-24*a^2*b*x^6+30*a*b^2*x^3-35*b^3)*((a*x^3+b)/x^3)^(1/2)/x^12/b^4","A"
1998,1,2226,224,0.028000," ","int(x^7*(a+b/x^3)^(1/2),x)","-\frac{\sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, \left(-40 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{3} x^{6}+120 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{3} x^{6}+42 i \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} b^{3} x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-42 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} b^{3} x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-12 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{2} b \,x^{3}+36 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{2} b \,x^{3}-84 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a \,b^{3} x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+84 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a \,b^{3} x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+42 i \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, b^{3} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-42 \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, b^{3} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+21 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a \,b^{2}-63 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a \,b^{2}\right) x^{2}}{320 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{3}}"," ",0,"-1/320*((a*x^3+b)/x^3)^(1/2)*x^2/a^3/(-a^2*b)^(1/3)*(-40*I*(-a^2*b)^(1/3)*3^(1/2)*(a*x^4+b*x)^(1/2)*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)*x^6*a^3+42*I*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b^3-84*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b^3+120*x^6*(a*x^4+b*x)^(1/2)*a^3*(-a^2*b)^(1/3)*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)+42*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b^3-12*I*(-a^2*b)^(1/3)*3^(1/2)*(a*x^4+b*x)^(1/2)*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)*x^3*a^2*b-42*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b^3+84*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b^3-42*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)*x*a/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b^3+36*b*x^3*(a*x^4+b*x)^(1/2)*a^2*(-a^2*b)^(1/3)*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)+21*I*(-a^2*b)^(1/3)*3^(1/2)*(a*x^4+b*x)^(1/2)*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)*a*b^2-63*b^2*(a*x^4+b*x)^(1/2)*a*(-a^2*b)^(1/3)*(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2))/(x*(a*x^3+b))^(1/2)/(I*3^(1/2)-3)/(1/a^2*x*(-a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)+2*a*x+(-a^2*b)^(1/3))*(I*3^(1/2)*(-a^2*b)^(1/3)-2*a*x-(-a^2*b)^(1/3)))^(1/2)","B"
1999,1,2010,204,0.030000," ","int(x^4*(a+b/x^3)^(1/2),x)","\frac{\sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, \left(6 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{3}\, a^{2} b^{2} x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-6 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} b^{2} x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+4 i \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a^{2} x^{3}-12 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{2} x^{3}-12 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a \,b^{2} x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+12 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} a \,b^{2} x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+6 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, b^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-6 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} b^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+3 i \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a b -9 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a b \right) x^{2}}{20 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{2}}"," ",0,"1/20*((a*x^3+b)/x^3)^(1/2)*x^2/a^2/(-a^2*b)^(1/3)*(6*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^2*a^2*b^2-12*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x*a*b^2+4*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x^3*a^2+6*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*b^2-6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b^2+12*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x*a*b^2-12*x^3*(a*x^4+b*x)^(1/2)*a^2*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*b^2+3*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*a*b-9*b*(a*x^4+b*x)^(1/2)*a*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2))/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2000,1,1786,183,0.030000," ","int(x*(a+b/x^3)^(1/2),x)","-\frac{\sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, \left(6 i \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} b \,x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-6 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} b \,x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-12 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a b x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+12 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a b x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+6 i \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, b \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-6 \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, b \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a +3 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a \right) x^{2}}{2 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a}"," ",0,"-1/2*((a*x^3+b)/x^3)^(1/2)*x^2/(-a^2*b)^(1/3)/a*(6*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b-12*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b+6*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b-6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b+12*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b-6*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b-I*(-a^2*b)^(1/3)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a+3*(a*x^4+b*x)^(1/2)*a*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2))/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2001,1,1785,184,0.032000," ","int((a+b/x^3)^(1/2)/x^2,x)","-\frac{2 \sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, \left(6 i \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} x^{5} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-6 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} x^{5} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-12 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a \,x^{4} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+12 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a \,x^{4} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+6 i \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, x^{3} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-6 \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, x^{3} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}-3 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\right)}{5 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, x}"," ",0,"-2/5*((a*x^3+b)/x^3)^(1/2)/x/(-a^2*b)^(1/3)*(6*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^5*a^2-12*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a+6*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^3-6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^5*a^2+12*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a-6*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^3+I*(-a^2*b)^(1/3)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-3*(a*x^4+b*x)^(1/2)*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2))/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2002,1,2002,204,0.037000," ","int((a+b/x^3)^(1/2)/x^5,x)","-\frac{2 \sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, \left(-12 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{3}\, a^{3} x^{8} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+12 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{3} x^{8} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+24 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a^{2} x^{7} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-24 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} a^{2} x^{7} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-12 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, a \,x^{6} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+12 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} a \,x^{6} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+3 i \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a \,x^{3}-9 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a \,x^{3}+5 i \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, b -15 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, b \right)}{55 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, b \,x^{4}}"," ",0,"-2/55*((a*x^3+b)/x^3)^(1/2)/x^4/(-a^2*b)^(1/3)*(-12*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^8*a^3+24*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x^7*a^2-12*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*x^6*a+12*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^8*a^3-24*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^7*a^2+12*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x^6*a+3*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x^3*a-9*a*(a*x^4+b*x)^(1/2)*x^3*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)+5*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*b-15*(a*x^4+b*x)^(1/2)*b*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2))/((a*x^3+b)*x)^(1/2)/b/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2003,1,2222,224,0.040000," ","int((a+b/x^3)^(1/2)/x^8,x)","\frac{2 \sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, \left(-96 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{3}\, a^{4} x^{11} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+96 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{4} x^{11} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+192 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a^{3} x^{10} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-192 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} a^{3} x^{10} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-96 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, a^{2} x^{9} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+96 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} a^{2} x^{9} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+24 i \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a^{2} x^{6}-72 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{2} x^{6}-15 i \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a b \,x^{3}+45 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a b \,x^{3}-55 i \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, b^{2}+165 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, b^{2}\right)}{935 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, b^{2} x^{7}}"," ",0,"2/935*((a*x^3+b)/x^3)^(1/2)/x^7/(-a^2*b)^(1/3)*(-96*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^11*a^4+192*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x^10*a^3-96*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*x^9*a^2+96*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^11*a^4-192*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^10*a^3+96*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x^9*a^2+24*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x^6*a^2-72*a^2*(a*x^4+b*x)^(1/2)*x^6*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-15*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x^3*a*b+45*a*(a*x^4+b*x)^(1/2)*x^3*b*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-55*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*b^2+165*(a*x^4+b*x)^(1/2)*b^2*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2))/((a*x^3+b)*x)^(1/2)/b^2/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2004,1,2799,421,0.030000," ","int(x^6*(a+b/x^3)^(1/2),x)","\text{Expression too large to display}"," ",0,"1/56*((a*x^3+b)/x^3)^(1/2)*x^2/a^3*(8*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^5*a^3+30*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*x*b^2-15*I*(-a^2*b)^(1/3)*3^(1/2)*x^2*a*b^2-24*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^5*a^3-30*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^2*a*b^2+45*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^2*a*b^2+3*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^2*a^2*b-15*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x^2*a*b^2+60*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x*b^2-90*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x*b^2-15*I*(-a^2*b)^(2/3)*3^(1/2)*x*b^2+30*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a*b^3-45*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a*b^3+15*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*a*b^3-9*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^2*a^2*b-15*I*3^(1/2)*x^3*a^2*b^2+45*b^2*x^3*a^2+45*(-a^2*b)^(1/3)*x^2*a*b^2+45*(-a^2*b)^(2/3)*x*b^2)/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2005,1,2579,401,0.029000," ","int(x^3*(a+b/x^3)^(1/2),x)","\text{Expression too large to display}"," ",0,"1/4*((a*x^3+b)/x^3)^(1/2)*x^2/a^2*(3*I*(-a^2*b)^(1/3)*3^(1/2)*x^2*a*b-3*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*a*b^2+6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^2*a*b-9*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^2*a*b+I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^2*a^2+3*I*3^(1/2)*x^3*a^2*b-12*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x*b+18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x*b+3*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x^2*a*b-6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a*b^2+9*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a*b^2+3*I*(-a^2*b)^(2/3)*3^(1/2)*x*b-3*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^2*a^2-6*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*x*b-9*a^2*b*x^3-9*(-a^2*b)^(1/3)*x^2*a*b-9*(-a^2*b)^(2/3)*x*b)/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2006,1,2864,379,0.028000," ","int((a+b/x^3)^(1/2),x)","\text{output too large to display}"," ",0,"-2*((a*x^3+b)/x^3)^(1/2)*x/a*(3*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*((a*x^3+b)*x)^(1/2)*a*b+I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*a*b-6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a+9*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a+6*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x+12*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x-18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x+I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^3*a^2-3*I*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a^2+6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b-9*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b-3*I*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x-3*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a^2-3*I*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a+9*((a*x^3+b)*x)^(1/2)*x^3*a^2-3*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a+9*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a+9*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x-3*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a*b)/(a*x^3+b)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2007,1,3309,383,0.036000," ","int((a+b/x^3)^(1/2)/x^3,x)","\text{output too large to display}"," ",0,"2/21*((a*x^3+b)/x^3)^(1/2)/x^3*(4*I*((a*x^3+b)*x)^(1/2)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a-18*I*((a*x^3+b)*x)^(1/2)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a*b+18*I*((a*x^3+b)*x)^(1/2)*3^(1/2)*(-a^2*b)^(2/3)*x^5+36*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^6*a-54*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^6*a+18*I*((a*x^3+b)*x)^(1/2)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^6*a-72*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x^5+108*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x^5-13*I*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^4*a*b+18*I*((a*x^3+b)*x)^(1/2)*3^(1/2)*(-a^2*b)^(1/3)*x^6*a-36*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a*b+54*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a*b-13*I*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^7*a^2-54*((a*x^3+b)*x)^(1/2)*x^7*a^2+39*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^7*a^2+18*I*((a*x^3+b)*x)^(1/2)*3^(1/2)*x^7*a^2-54*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(1/3)*x^6*a-3*I*((a*x^3+b)*x)^(1/2)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*b-54*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(2/3)*x^5-12*((a*x^3+b)*x)^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a+39*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^4*a*b-36*I*((a*x^3+b)*x)^(1/2)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x^5+9*((a*x^3+b)*x)^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*b)/(a*x^3+b)/b/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2008,1,3556,403,0.038000," ","int((a+b/x^3)^(1/2)/x^6,x)","\text{output too large to display}"," ",0,"2/91*((a*x^3+b)/x^3)^(1/2)/x^6*(4*I*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x^6*a^2+72*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x^8*a+72*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^9*a^2-24*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^7*a^2*b+21*(a*x^4+b*x)^(1/2)*b^2*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-7*I*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*b^2-24*I*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^8*a-24*I*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^9*a^2+8*I*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^7*a^2*b+9*a*(a*x^4+b*x)^(1/2)*x^3*b*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-12*a^2*(a*x^4+b*x)^(1/2)*x^6*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)+8*I*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^10*a^3-24*I*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^10*a^3-24*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^9*a^2+48*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^8*a+24*I*a^2*b*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^7-24*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^10*a^3+72*((a*x^3+b)*x)^(1/2)*x^10*a^3-72*a^2*b*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^7-144*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^8*a+48*a^2*b*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^7+72*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^9*a^2+96*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^8*a-3*I*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a*b-48*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^9*a^2)/(a*x^3+b)/b^2/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2009,1,3788,423,0.043000," ","int((a+b/x^3)^(1/2)/x^9,x)","\text{output too large to display}"," ",0,"-2/1729*((a*x^3+b)/x^3)^(1/2)/x^9*(40*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^9*a^3+720*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x^11*a^2+720*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^12*a^3-240*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^10*a^3*b-273*(a*x^4+b*x)^(1/2)*b^3*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)+80*I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^10*a^3*b+91*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*((a*x^3+b)*x)^(1/2)*b^3-240*I*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^11*a^2+90*a^2*(a*x^4+b*x)^(1/2)*x^6*b*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-63*a*(a*x^4+b*x)^(1/2)*x^3*b^2*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-240*I*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^12*a^3+21*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a*b^2-720*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a^3*b*((a*x^3+b)*x)^(1/2)*x^10-480*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^12*a^3+720*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^12*a^3+960*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x^11*a^2-1440*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x^11*a^2+480*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a^3*b*((a*x^3+b)*x)^(1/2)*x^10-30*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^6*a^2*b+240*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a^3*b*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^10-240*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^12*a^3+480*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^11*a^2-120*a^3*(a*x^4+b*x)^(1/2)*x^9*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)+80*I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^13*a^4-240*I*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^13*a^4-240*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^13*a^4+720*((a*x^3+b)*x)^(1/2)*x^13*a^4)/(a*x^3+b)/b^3/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2010,1,3569,52,0.014000," ","int((a+b/x^3)^(3/2)*x^5,x)","\text{output too large to display}"," ",0,"1/12*((a*x^3+b)/x^3)^(3/2)*x^5/a^2*(36*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x*a*b^2+5*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x*a^2*b+18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*b^2+2*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^4*a^3-18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*b^2-36*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x*a*b^2+18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b^2+18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^2*a^2*b^2-18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b^2-6*x^4*(a*x^4+b*x)^(1/2)*a^3*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-36*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x*a*b^2+36*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x*a*b^2-18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^2*a^2*b^2+18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*b^2-18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*b^2-15*b*x*(a*x^4+b*x)^(1/2)*a^2*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2))/(a*x^3+b)/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","C"
2011,1,3559,46,0.016000," ","int((a+b/x^3)^(3/2)*x^2,x)","\text{output too large to display}"," ",0,"-1/3*((a*x^3+b)/x^3)^(3/2)*x^3/a*(-18*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*b-I*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a^2-36*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^3*a*b-18*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a^2*b+36*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^3*a*b+18*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a^2*b-18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a^2*b+18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a^2*b+36*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^3*a*b-36*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^3*a*b-18*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*b+18*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*b+18*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*b+3*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a^2+2*I*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a*b-6*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a*b)/(a*x^3+b)/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","C"
2012,1,3535,43,0.046000," ","int((a+b/x^3)^(3/2)/x,x)","\text{output too large to display}"," ",0,"-2/9*((a*x^3+b)/x^3)^(3/2)*(-36*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x^6*a-18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*x^5+18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*x^5+36*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x^6*a+18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^7*a^2-18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^7*a^2+4*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^3*a+18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^7*a^2+36*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^6*a-36*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^6*a-18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x^5+18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x^5-18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^7*a^2-12*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a+I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*b-3*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*b)/(a*x^3+b)/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","C"
2013,1,29,14,0.005000," ","int((a+b/x^3)^(3/2)/x^4,x)","-\frac{2 \left(a \,x^{3}+b \right) \left(\frac{a \,x^{3}+b}{x^{3}}\right)^{\frac{3}{2}}}{15 b \,x^{3}}"," ",0,"-2/15*(a*x^3+b)/x^3/b*((a*x^3+b)/x^3)^(3/2)","A"
2014,1,39,30,0.006000," ","int((a+b/x^3)^(3/2)/x^7,x)","\frac{2 \left(a \,x^{3}+b \right) \left(2 a \,x^{3}-5 b \right) \left(\frac{a \,x^{3}+b}{x^{3}}\right)^{\frac{3}{2}}}{105 b^{2} x^{6}}"," ",0,"2/105*(a*x^3+b)*(2*a*x^3-5*b)*((a*x^3+b)/x^3)^(3/2)/b^2/x^6","A"
2015,1,50,47,0.008000," ","int((a+b/x^3)^(3/2)/x^10,x)","-\frac{2 \left(a \,x^{3}+b \right) \left(8 a^{2} x^{6}-20 a b \,x^{3}+35 b^{2}\right) \left(\frac{a \,x^{3}+b}{x^{3}}\right)^{\frac{3}{2}}}{945 b^{3} x^{9}}"," ",0,"-2/945*(a*x^3+b)*(8*a^2*x^6-20*a*b*x^3+35*b^2)*((a*x^3+b)/x^3)^(3/2)/b^3/x^9","A"
2016,1,61,64,0.007000," ","int((a+b/x^3)^(3/2)/x^13,x)","\frac{2 \left(a \,x^{3}+b \right) \left(16 a^{3} x^{9}-40 a^{2} b \,x^{6}+70 a \,b^{2} x^{3}-105 b^{3}\right) \left(\frac{a \,x^{3}+b}{x^{3}}\right)^{\frac{3}{2}}}{3465 b^{4} x^{12}}"," ",0,"2/3465*(a*x^3+b)*(16*a^3*x^9-40*a^2*b*x^6+70*a*b^2*x^3-105*b^3)*((a*x^3+b)/x^3)^(3/2)/x^12/b^4","A"
2017,1,3567,58,0.031000," ","int(x^5/(a+b/x^3)^(1/2),x)","\text{output too large to display}"," ",0,"1/12/((a*x^3+b)/x^3)^(1/2)/x*(a*x^3+b)/a^4*(-18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^2*a^2*b^2+2*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^4*a^3-18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*b^2-3*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x*a^2*b+36*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x*a*b^2-36*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x*a*b^2+18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b^2+18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^2*a^2*b^2-18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b^2-6*x^4*(a*x^4+b*x)^(1/2)*a^3*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-36*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x*a*b^2+36*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x*a*b^2+18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*b^2+18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*b^2-18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*b^2+9*b*x*(a*x^4+b*x)^(1/2)*a^2*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2))/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","C"
2018,1,3347,38,0.011000," ","int(x^2/(a+b/x^3)^(1/2),x)","\text{output too large to display}"," ",0,"1/3/((a*x^3+b)/x^3)^(1/2)/x*(a*x^3+b)/a^3*(6*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b-6*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b-12*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b+12*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b+6*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b-6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b-6*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b+6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b+12*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b-12*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b-6*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b+6*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b+I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(a*x^4+b*x)^(1/2)*3^(1/2)*x*a^2-3*x*(a*x^4+b*x)^(1/2)*a^2*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2))/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","C"
2019,1,480,19,0.010000," ","int(1/x/(a+b/x^3)^(1/2),x)","-\frac{4 \left(a \,x^{3}+b \right) \left(i \sqrt{3}-1\right) \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)^{2} \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(\EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-\EllipticPi \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \frac{i \sqrt{3}-1}{i \sqrt{3}-3}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)\right)}{\sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{2} x}"," ",0,"-4/((a*x^3+b)/x^3)^(1/2)/x*(a*x^3+b)*(I*3^(1/2)-1)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*(-a*x+(-a^2*b)^(1/3))^2*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)/a^2*(EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))-EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2)))/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","C"
2020,1,29,14,0.006000," ","int(1/x^4/(a+b/x^3)^(1/2),x)","-\frac{2 \left(a \,x^{3}+b \right)}{3 \sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, b \,x^{3}}"," ",0,"-2/3*(a*x^3+b)/x^3/b/((a*x^3+b)/x^3)^(1/2)","A"
2021,1,39,30,0.005000," ","int(1/x^7/(a+b/x^3)^(1/2),x)","\frac{2 \left(a \,x^{3}+b \right) \left(2 a \,x^{3}-b \right)}{9 \sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, b^{2} x^{6}}"," ",0,"2/9*(a*x^3+b)*(2*a*x^3-b)/x^6/b^2/((a*x^3+b)/x^3)^(1/2)","A"
2022,1,50,47,0.005000," ","int(1/x^10/(a+b/x^3)^(1/2),x)","-\frac{2 \left(a \,x^{3}+b \right) \left(8 a^{2} x^{6}-4 a b \,x^{3}+3 b^{2}\right)}{45 \sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, b^{3} x^{9}}"," ",0,"-2/45*(a*x^3+b)*(8*a^2*x^6-4*a*b*x^3+3*b^2)/x^9/b^3/((a*x^3+b)/x^3)^(1/2)","A"
2023,1,61,64,0.007000," ","int(1/x^13/(a+b/x^3)^(1/2),x)","\frac{2 \left(a \,x^{3}+b \right) \left(16 a^{3} x^{9}-8 a^{2} b \,x^{6}+6 a \,b^{2} x^{3}-5 b^{3}\right)}{105 \sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, b^{4} x^{12}}"," ",0,"2/105*(a*x^3+b)*(16*a^3*x^9-8*a^2*b*x^6+6*a*b^2*x^3-5*b^3)/x^12/b^4/((a*x^3+b)/x^3)^(1/2)","A"
2024,1,2233,227,0.033000," ","int(x^7/(a+b/x^3)^(1/2),x)","\frac{\left(a \,x^{3}+b \right) \left(40 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{3} x^{6}-120 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{3} x^{6}+182 i \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} b^{3} x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-182 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} b^{3} x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-52 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{2} b \,x^{3}+156 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{2} b \,x^{3}-364 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a \,b^{3} x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+364 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a \,b^{3} x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+182 i \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, b^{3} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-182 \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, b^{3} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+91 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a \,b^{2}-273 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a \,b^{2}\right)}{320 \sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{4} x}"," ",0,"1/320/((a*x^3+b)/x^3)^(1/2)/x*(a*x^3+b)/(-a^2*b)^(1/3)/a^4*(40*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x^6*a^3+182*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^2*a^2*b^3-120*(a*x^4+b*x)^(1/2)*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a^3*x^6-364*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x*a*b^3-52*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x^3*a^2*b+182*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*b^3-182*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b^3+364*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b^3+156*(a*x^4+b*x)^(1/2)*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a^2*b*x^3-182*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b^3+91*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*a*b^2-273*(a*x^4+b*x)^(1/2)*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a*b^2)/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2025,1,2017,207,0.012000," ","int(x^4/(a+b/x^3)^(1/2),x)","-\frac{\left(a \,x^{3}+b \right) \left(14 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{3}\, a^{2} b^{2} x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-14 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} b^{2} x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-4 i \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a^{2} x^{3}+12 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{2} x^{3}-28 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a \,b^{2} x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+28 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} a \,b^{2} x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+14 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, b^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-14 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} b^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+7 i \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a b -21 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a b \right)}{20 \sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{3} x}"," ",0,"-1/20/((a*x^3+b)/x^3)^(1/2)/x*(a*x^3+b)/a^3/(-a^2*b)^(1/3)*(14*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b^2-28*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b^2+14*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b^2-4*I*(-a^2*b)^(1/3)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a^2-14*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b^2+28*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x*a*b^2-14*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*b^2+12*(a*x^4+b*x)^(1/2)*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a^2*x^3+7*I*(-a^2*b)^(1/3)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a*b-21*(a*x^4+b*x)^(1/2)*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a*b)/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2026,1,1793,189,0.010000," ","int(x/(a+b/x^3)^(1/2),x)","\frac{\left(a \,x^{3}+b \right) \left(2 i \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} b \,x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-2 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} b \,x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-4 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a b x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+4 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a b x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+2 i \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, b \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-2 \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, b \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a -3 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a \right)}{2 \sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{2} x}"," ",0,"1/2/((a*x^3+b)/x^3)^(1/2)/x*(a*x^3+b)/a^2/(-a^2*b)^(1/3)*(2*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^2*a^2*b-4*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x*a*b+2*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*b-2*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a^2*b+4*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*a*b-2*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*b+I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*a-3*(a*x^4+b*x)^(1/2)*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a)/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2027,1,437,168,0.014000," ","int(1/x^2/(a+b/x^3)^(1/2),x)","-\frac{4 \left(a \,x^{3}+b \right) \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(i \sqrt{3}\, a^{2} x^{2}-a^{2} x^{2}-2 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a x +2 \left(-a^{2} b \right)^{\frac{1}{3}} a x +i \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}-\left(-a^{2} b \right)^{\frac{2}{3}}\right) \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)}{\sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a x}"," ",0,"-4/((a*x^3+b)/x^3)^(1/2)/x*(a*x^3+b)/(-a^2*b)^(1/3)/a*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(I*3^(1/2)*x^2*a^2-2*I*(-a^2*b)^(1/3)*3^(1/2)*x*a+I*(-a^2*b)^(2/3)*3^(1/2)-a^2*x^2+2*(-a^2*b)^(1/3)*x*a-(-a^2*b)^(2/3))/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2028,1,1795,187,0.016000," ","int(1/x^5/(a+b/x^3)^(1/2),x)","-\frac{2 \left(a \,x^{3}+b \right) \left(-4 i \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} x^{5} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+4 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{2} x^{5} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+8 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a \,x^{4} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-8 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a \,x^{4} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-4 i \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, x^{3} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+4 \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, x^{3} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}-3 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\right)}{5 \sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, b \,x^{4}}"," ",0,"-2/5/((a*x^3+b)/x^3)^(1/2)/x^4*(a*x^3+b)/(-a^2*b)^(1/3)/b*(-4*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^5*a^2+8*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x^4*a-4*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*x^3+4*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^5*a^2-8*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a+4*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^3+I*(-a^2*b)^(1/3)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-3*(a*x^4+b*x)^(1/2)*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2))/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2029,1,2009,207,0.018000," ","int(1/x^8/(a+b/x^3)^(1/2),x)","\frac{2 \left(a \,x^{3}+b \right) \left(-32 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{3}\, a^{3} x^{8} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+32 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, a^{3} x^{8} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+64 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a^{2} x^{7} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-64 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} a^{2} x^{7} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-32 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, a \,x^{6} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+32 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} a \,x^{6} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+8 i \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a \,x^{3}-24 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a \,x^{3}-5 i \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, b +15 \sqrt{a \,x^{4}+b x}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, b \right)}{55 \sqrt{\frac{a \,x^{3}+b}{x^{3}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, b^{2} x^{7}}"," ",0,"2/55/((a*x^3+b)/x^3)^(1/2)/x^7*(a*x^3+b)/(-a^2*b)^(1/3)/b^2*(-32*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^8*a^3+64*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x^7*a^2-32*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*x^6*a+32*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^8*a^3-64*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^7*a^2+32*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x^6*a+8*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x^3*a-24*(a*x^4+b*x)^(1/2)*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a*x^3-5*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*b+15*(a*x^4+b*x)^(1/2)*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*b)/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2030,1,2806,424,0.035000," ","int(x^6/(a+b/x^3)^(1/2),x)","\text{output too large to display}"," ",0,"-1/56/((a*x^3+b)/x^3)^(1/2)/x*(a*x^3+b)/a^4*(110*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*b^2-8*I*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^5*a^3-55*I*(-a^2*b)^(1/3)*3^(1/2)*x^2*a*b^2-110*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^2*a*b^2+165*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^2*a*b^2+11*I*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^2*a^2*b+24*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a^3*x^5+220*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x*b^2-330*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x*b^2+55*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a*b^3-55*I*(-a^2*b)^(2/3)*3^(1/2)*x*b^2-55*I*3^(1/2)*x^3*a^2*b^2+110*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a*b^3-165*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a*b^3-55*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a*b^2-33*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a^2*b*x^2+165*a^2*b^2*x^3+165*(-a^2*b)^(1/3)*a*b^2*x^2+165*(-a^2*b)^(2/3)*b^2*x)/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2031,1,2586,404,0.014000," ","int(x^3/(a+b/x^3)^(1/2),x)","\text{Expression too large to display}"," ",0,"1/4/((a*x^3+b)/x^3)^(1/2)/x*(a*x^3+b)/a^3*(5*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a*b^2+10*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x*b-10*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^2*a*b+15*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^2*a*b-5*I*3^(1/2)*x^3*a^2*b+20*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x*b-30*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x*b-5*I*(-a^2*b)^(2/3)*3^(1/2)*x*b-5*I*(-a^2*b)^(1/3)*3^(1/2)*x^2*a*b+I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*a^2*x^2+10*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a*b^2-15*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a*b^2-5*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^2*a*b-3*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a^2*x^2+15*a^2*b*x^3+15*(-a^2*b)^(1/3)*a*b*x^2+15*(-a^2*b)^(2/3)*b*x)/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2032,1,2374,385,0.011000," ","int(1/(a+b/x^3)^(1/2),x)","\text{Expression too large to display}"," ",0,"-2/((a*x^3+b)/x^3)^(1/2)/x*(a*x^3+b)/a^2*(-I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x^2*a+2*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*x-2*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^2*a+3*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^2*a+I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*a*b+4*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x-6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x-I*3^(1/2)*x^3*a^2+2*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a*b-3*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a*b-I*(-a^2*b)^(1/3)*3^(1/2)*x^2*a-I*(-a^2*b)^(2/3)*3^(1/2)*x+3*a^2*x^3+3*(-a^2*b)^(1/3)*x^2*a+3*(-a^2*b)^(2/3)*x)/((a*x^3+b)*x)^(1/2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2033,1,2860,367,0.016000," ","int(1/x^3/(a+b/x^3)^(1/2),x)","\text{output too large to display}"," ",0,"-2/((a*x^3+b)/x^3)^(1/2)/x^2/a*(I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^3*a^2-2*I*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a^2-4*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a+6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a-2*I*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a+8*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x-12*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x+2*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*((a*x^3+b)*x)^(1/2)*a*b+I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*a*b+4*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b-6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b-2*I*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x-3*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a^2-2*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a+6*((a*x^3+b)*x)^(1/2)*x^3*a^2+4*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x+6*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a+6*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x-3*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a*b)/b/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2034,1,3300,386,0.018000," ","int(1/x^6/(a+b/x^3)^(1/2),x)","\text{output too large to display}"," ",0,"2/21/((a*x^3+b)/x^3)^(1/2)/x^6*(8*I*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^7*a^2-24*I*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^6*a-48*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^6*a+72*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^6*a+48*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^5+96*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x^5-144*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x^5-24*I*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^5+4*I*((a*x^3+b)*x)^(1/2)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a-24*I*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^7*a^2+48*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a*b-72*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a*b+24*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^4*a*b-24*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^7*a^2+72*((a*x^3+b)*x)^(1/2)*x^7*a^2+72*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(1/3)*x^6*a-24*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^6*a+8*I*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^4*a*b+72*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(2/3)*x^5-12*((a*x^3+b)*x)^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a-24*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^4*a*b-3*I*((a*x^3+b)*x)^(1/2)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*b+9*((a*x^3+b)*x)^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*b)/b^2/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2035,1,3547,406,0.019000," ","int(1/x^9/(a+b/x^3)^(1/2),x)","\text{output too large to display}"," ",0,"-2/273/((a*x^3+b)/x^3)^(1/2)/x^9*(40*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^6*a^2+720*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x^8*a+720*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^9*a^2-240*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^7*a^2*b-63*(a*x^4+b*x)^(1/2)*b^2*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-240*I*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^9*a^2+80*I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^7*a^2*b+21*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*((a*x^3+b)*x)^(1/2)*b^2-240*I*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^8*a+90*a*(a*x^4+b*x)^(1/2)*x^3*b*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-240*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^9*a^2+480*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^8*a+240*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a^2*b*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^7-120*a^2*(a*x^4+b*x)^(1/2)*x^6*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)+80*I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^10*a^3-240*I*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^10*a^3-30*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a*b-240*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^10*a^3+720*((a*x^3+b)*x)^(1/2)*x^10*a^3-720*a^2*b*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^7-1440*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^8*a+480*a^2*b*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^7+720*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^9*a^2+960*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^8*a-480*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^9*a^2)/b^3/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2036,1,3779,426,0.020000," ","int(1/x^12/(a+b/x^3)^(1/2),x)","\text{output too large to display}"," ",0,"2/5187/((a*x^3+b)/x^3)^(1/2)/x^12*(-3840*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x^12*a^3+11520*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x^11*a^2+11520*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^12*a^3-3840*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^10*a^3*b+819*(a*x^4+b*x)^(1/2)*b^3*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)+1280*I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^10*a^3*b-273*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*3^(1/2)*b^3-3840*I*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(2/3)*3^(1/2)*x^11*a^2-3840*I*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x^12*a^3+1440*a^2*(a*x^4+b*x)^(1/2)*x^6*b*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-1008*a*(a*x^4+b*x)^(1/2)*x^3*b^2*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-11520*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a^3*b*((a*x^3+b)*x)^(1/2)*x^10-7680*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^12*a^3+11520*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^12*a^3+15360*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x^11*a^2-23040*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x^11*a^2+7680*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*a^3*b*((a*x^3+b)*x)^(1/2)*x^10+7680*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(2/3)*3^(1/2)*x^11*a^2+3840*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a^3*b*3^(1/2)*x^10-480*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*3^(1/2)*x^6*a^2*b+336*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*3^(1/2)*x^3*a*b^2-1920*a^3*(a*x^4+b*x)^(1/2)*x^9*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)+1280*I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^13*a^4-3840*I*((a*x^3+b)*x)^(1/2)*3^(1/2)*x^13*a^4-3840*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^13*a^4+11520*((a*x^3+b)*x)^(1/2)*x^13*a^4+640*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*3^(1/2)*x^9*a^3)/b^4/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2037,1,3910,75,0.046000," ","int(x^5/(a+b/x^3)^(3/2),x)","\text{output too large to display}"," ",0,"1/12/((a*x^3+b)/x^3)^(3/2)/x^5*(a*x^3+b)/a^5*(-8*I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^2*a^2*b^2-7*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x*a^2*b+90*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*b^2+180*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x*a*b^2+90*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a^2*b^2-90*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*b^2+90*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a^2*b^2+2*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^4*a^3-90*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a^2*b^2-6*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x^4*a^3-180*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x*a*b^2+180*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x*a*b^2-180*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x*a*b^2+90*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*b^2-90*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*b^2-90*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a^2*b^2+21*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x*a^2*b+24*x^2*b^2*a^2*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2))/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","C"
2038,1,3664,52,0.016000," ","int(x^2/(a+b/x^3)^(3/2),x)","\text{output too large to display}"," ",0,"1/3/((a*x^3+b)/x^3)^(3/2)/x^5*(a*x^3+b)/a^4*(18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a^2*b+I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x*a^2+18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*b-36*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x*a*b-18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a^2*b-18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a^2*b-18*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*b+18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a^2*b+36*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x*a*b-36*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x*a*b+2*I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^2*a^2*b-18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*b+18*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*b+36*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x*a*b-3*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x*a^2-6*x^2*b*a^2*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2))/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","C"
2039,1,3438,34,0.014000," ","int(1/(a+b/x^3)^(3/2)/x,x)","\text{output too large to display}"," ",0,"-2/3/((a*x^3+b)/x^3)^(3/2)/x^5*(a*x^3+b)/a^3*(6*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*3^(1/2)*x^2*a^2-6*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*3^(1/2)*x^2*a^2-12*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x*a+12*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x*a+6*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(2/3)*3^(1/2)-6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a^2-6*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(2/3)*3^(1/2)+6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a^2+12*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(1/3)*x*a-12*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(1/3)*x*a-6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(2/3)+6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticPi((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),(I*3^(1/2)-1)/(I*3^(1/2)-3),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(2/3)+I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^2*a^2-3*x^2*a^2*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2))/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","C"
2040,1,29,14,0.006000," ","int(1/(a+b/x^3)^(3/2)/x^4,x)","\frac{\frac{2 a \,x^{3}}{3}+\frac{2 b}{3}}{\left(\frac{a \,x^{3}+b}{x^{3}}\right)^{\frac{3}{2}} b \,x^{3}}"," ",0,"2/3*(a*x^3+b)/x^3/b/((a*x^3+b)/x^3)^(3/2)","A"
2041,1,37,30,0.006000," ","int(1/(a+b/x^3)^(3/2)/x^7,x)","-\frac{2 \left(a \,x^{3}+b \right) \left(2 a \,x^{3}+b \right)}{3 \left(\frac{a \,x^{3}+b}{x^{3}}\right)^{\frac{3}{2}} b^{2} x^{6}}"," ",0,"-2/3*(a*x^3+b)*(2*a*x^3+b)/x^6/b^2/((a*x^3+b)/x^3)^(3/2)","A"
2042,1,50,47,0.007000," ","int(1/(a+b/x^3)^(3/2)/x^10,x)","\frac{2 \left(a \,x^{3}+b \right) \left(8 a^{2} x^{6}+4 a b \,x^{3}-b^{2}\right)}{9 \left(\frac{a \,x^{3}+b}{x^{3}}\right)^{\frac{3}{2}} b^{3} x^{9}}"," ",0,"2/9*(a*x^3+b)*(8*a^2*x^6+4*a*b*x^3-b^2)/x^9/b^3/((a*x^3+b)/x^3)^(3/2)","A"
2043,1,59,64,0.007000," ","int(1/(a+b/x^3)^(3/2)/x^13,x)","-\frac{2 \left(a \,x^{3}+b \right) \left(16 a^{3} x^{9}+8 a^{2} b \,x^{6}-2 a \,b^{2} x^{3}+b^{3}\right)}{15 \left(\frac{a \,x^{3}+b}{x^{3}}\right)^{\frac{3}{2}} b^{4} x^{12}}"," ",0,"-2/15*(a*x^3+b)*(16*a^3*x^9+8*a^2*b*x^6-2*a*b^2*x^3+b^3)/x^12/b^4/((a*x^3+b)/x^3)^(3/2)","A"
2044,1,2540,244,0.039000," ","int(x^7/(a+b/x^3)^(3/2),x)","\text{Expression too large to display}"," ",0,"1/960/((a*x^3+b)/x^3)^(3/2)/x^5*(a*x^3+b)/(-a^2*b)^(1/3)/a^5*(120*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^6*a^3+3458*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a^2*b^3-360*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^6*a^3-6916*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x*a*b^3-348*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a^2*b+3458*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*b^3-3458*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a^2*b^3+6916*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x*a*b^3+1044*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^3*a^2*b-3458*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*b^3+1089*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*a*b^2+640*I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x*a*b^3-3267*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*a*b^2-1920*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*x*a*b^3)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2045,1,2302,224,0.017000," ","int(x^4/(a+b/x^3)^(3/2),x)","\text{Expression too large to display}"," ",0,"-1/60/((a*x^3+b)/x^3)^(3/2)/x^5*(a*x^3+b)/a^4/(-a^2*b)^(1/3)*(182*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a^2*b^2-364*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x*a*b^2+182*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*b^2-12*I*(-a^2*b)^(1/3)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a^2-182*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a^2*b^2+364*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x*a*b^2-182*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*b^2+36*(-a^2*b)^(1/3)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a^2+51*I*(-a^2*b)^(1/3)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*a*b+40*I*(-a^2*b)^(1/3)*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x*a*b^2-153*(-a^2*b)^(1/3)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*a*b-120*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x*a*b^2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2046,1,2052,206,0.013000," ","int(x/(a+b/x^3)^(3/2),x)","\frac{\left(a \,x^{3}+b \right) \left(14 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{3}\, \sqrt{\left(a \,x^{3}+b \right) x}\, a^{2} b \,x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-14 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, a^{2} b \,x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-28 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{\left(a \,x^{3}+b \right) x}\, a b x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+28 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, a b x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+4 i \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a b x -12 \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} a b x +14 i \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, \sqrt{\left(a \,x^{3}+b \right) x}\, b \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-14 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, b \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+3 i \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{\left(a \,x^{3}+b \right) x}\, a -9 \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\left(a \,x^{3}+b \right) x}\, a \right)}{6 \left(\frac{a \,x^{3}+b}{x^{3}}\right)^{\frac{3}{2}} \left(-a^{2} b \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{3} x^{5}}"," ",0,"1/6/((a*x^3+b)/x^3)^(3/2)/x^5*(a*x^3+b)/a^3/(-a^2*b)^(1/3)*(14*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a^2*b-28*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x*a*b+14*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*b-14*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a^2*b+28*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x*a*b-14*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*b+3*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*a+4*I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x*a*b-9*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*a-12*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*x*a*b)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2047,1,1822,189,0.011000," ","int(1/(a+b/x^3)^(3/2)/x^2,x)","-\frac{2 \left(a \,x^{3}+b \right) \left(2 i \sqrt{\left(a \,x^{3}+b \right) x}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{3}\, a^{2} x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-2 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, a^{2} x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-4 i \sqrt{\left(a \,x^{3}+b \right) x}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+4 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, \left(-a^{2} b \right)^{\frac{1}{3}} a x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+i \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a x -3 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a x +2 i \sqrt{\left(a \,x^{3}+b \right) x}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-2 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, \left(-a^{2} b \right)^{\frac{2}{3}} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)\right)}{3 \left(\frac{a \,x^{3}+b}{x^{3}}\right)^{\frac{3}{2}} \left(-a^{2} b \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a^{2} x^{5}}"," ",0,"-2/3/((a*x^3+b)/x^3)^(3/2)/x^5*(a*x^3+b)/a^2/(-a^2*b)^(1/3)*(2*I*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^2*a^2-4*I*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x*a+2*I*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)-2*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a^2+4*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(1/3)*x*a-2*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(2/3)+I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x*a-3*x*a*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2))/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2048,1,1825,186,0.020000," ","int(1/(a+b/x^3)^(3/2)/x^5,x)","-\frac{2 \left(a \,x^{3}+b \right) \left(4 i \sqrt{\left(a \,x^{3}+b \right) x}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{3}\, a^{2} x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-4 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, a^{2} x^{2} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-8 i \sqrt{\left(a \,x^{3}+b \right) x}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+8 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, \left(-a^{2} b \right)^{\frac{1}{3}} a x \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-i \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, a x +3 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a x +4 i \sqrt{\left(a \,x^{3}+b \right) x}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-4 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, \left(-a^{2} b \right)^{\frac{2}{3}} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)\right)}{3 \left(\frac{a \,x^{3}+b}{x^{3}}\right)^{\frac{3}{2}} \left(-a^{2} b \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a b \,x^{5}}"," ",0,"-2/3/((a*x^3+b)/x^3)^(3/2)/x^5*(a*x^3+b)/(-a^2*b)^(1/3)/a/b*(4*I*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*x^2*a^2-8*I*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*x*a+4*I*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)-4*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a^2+8*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(1/3)*x*a-4*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(2/3)-I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*(-a^2*b)^(1/3)*3^(1/2)*x*a+3*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a*x)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2049,1,2056,204,0.019000," ","int(1/(a+b/x^3)^(3/2)/x^8,x)","\frac{2 \left(a \,x^{3}+b \right) \left(32 i \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, a^{2} x^{5} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-32 \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, a^{2} x^{5} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-64 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, a \,x^{4} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)+64 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, a \,x^{4} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-5 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a \,x^{4}+15 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, a \,x^{4}+32 i \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{3}\, \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, x^{3} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-32 \left(-a^{2} b \right)^{\frac{2}{3}} \sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(1+i \sqrt{3}\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\frac{-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}\, \sqrt{\left(a \,x^{3}+b \right) x}\, x^{3} \EllipticF \left(\sqrt{-\frac{\left(i \sqrt{3}-3\right) a x}{\left(i \sqrt{3}-1\right) \left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right)}}, \sqrt{\frac{\left(i \sqrt{3}+3\right) \left(i \sqrt{3}-1\right)}{\left(1+i \sqrt{3}\right) \left(i \sqrt{3}-3\right)}}\right)-3 i \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{3}\, \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \sqrt{\left(a \,x^{3}+b \right) x}+9 \left(-a^{2} b \right)^{\frac{1}{3}} \sqrt{a \,x^{4}+b x}\, \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, \sqrt{\left(a \,x^{3}+b \right) x}\right)}{15 \left(\frac{a \,x^{3}+b}{x^{3}}\right)^{\frac{3}{2}} \left(-a^{2} b \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) \sqrt{\frac{\left(-a x +\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}+\left(-a^{2} b \right)^{\frac{1}{3}}\right) \left(-2 a x +i \sqrt{3}\, \left(-a^{2} b \right)^{\frac{1}{3}}-\left(-a^{2} b \right)^{\frac{1}{3}}\right) x}{a^{2}}}\, b^{2} x^{8}}"," ",0,"2/15/((a*x^3+b)/x^3)^(3/2)/x^8*(a*x^3+b)/(-a^2*b)^(1/3)/b^2*(32*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^5*a^2-64*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^4*a+32*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^3-32*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^5*a^2+64*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^4*a-32*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^3-5*I*(-a^2*b)^(1/3)*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^4*a+15*(-a^2*b)^(1/3)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^4*a-3*I*(-a^2*b)^(1/3)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)+9*(-a^2*b)^(1/3)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2))/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2050,1,3182,441,0.040000," ","int(x^6/(a+b/x^3)^(3/2),x)","\text{output too large to display}"," ",0,"-1/168/((a*x^3+b)/x^3)^(3/2)/x^5*(a*x^3+b)/a^5*(-935*I*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x*b^2+75*I*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a^2*b-935*I*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a*b^2-1870*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a*b^2+2805*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a*b^2+1870*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x*b^2+72*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x^5*a^3+3740*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x*b^2-5610*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x*b^2+112*I*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a^2*b^2+935*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b^3-935*I*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a^2*b^2-24*I*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x^5*a^3+1870*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b^3-2805*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b^3-935*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a*b^2-225*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a^2*b-336*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a^2*b^2+2805*((a*x^3+b)*x)^(1/2)*x^3*a^2*b^2+2805*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a*b^2+2805*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x*b^2)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2051,1,2936,421,0.016000," ","int(x^3/(a+b/x^3)^(3/2),x)","\text{output too large to display}"," ",0,"1/12/((a*x^3+b)/x^3)^(3/2)/x^5*(a*x^3+b)/a^4*(55*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b^2-55*I*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x*b-110*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a*b+165*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a*b-55*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^2*a*b+220*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x*b-330*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x*b+8*I*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a^2*b+3*I*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a^2+110*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x*b-55*I*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a^2*b+110*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b^2-165*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b^2-55*I*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a*b-9*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a^2-24*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a^2*b+165*((a*x^3+b)*x)^(1/2)*x^3*a^2*b+165*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a*b+165*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x*b)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2052,1,2700,401,0.016000," ","int(1/(a+b/x^3)^(3/2),x)","\text{Expression too large to display}"," ",0,"-2/3/((a*x^3+b)/x^3)^(3/2)/x^5*(a*x^3+b)/a^3*(10*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x-5*I*3^(1/2)*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x-10*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a+I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^3*a^2+15*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a+20*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x-30*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x-5*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a-5*I*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a^2+10*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b-15*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b+5*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*((a*x^3+b)*x)^(1/2)*a*b-3*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a^2-5*I*3^(1/2)*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a+15*((a*x^3+b)*x)^(1/2)*x^3*a^2+15*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a+15*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x)/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2053,1,2703,388,0.013000," ","int(1/(a+b/x^3)^(3/2)/x^3,x)","\text{Expression too large to display}"," ",0,"2/3/((a*x^3+b)/x^3)^(3/2)/x^5*(a*x^3+b)/a^2*(-2*I*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a+2*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*((a*x^3+b)*x)^(1/2)*a*b-4*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a+6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a+4*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x+8*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x-12*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x-2*I*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x-2*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a-2*I*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a^2+4*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b-6*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b+I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*a^2*x^3+6*((a*x^3+b)*x)^(1/2)*a^2*x^3-3*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a^2*x^3+6*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*a*x^2+6*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x)/b/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2054,1,2867,385,0.020000," ","int(1/(a+b/x^3)^(3/2)/x^6,x)","\text{output too large to display}"," ",0,"-2/3/((a*x^3+b)/x^3)^(3/2)/x^5*(a*x^3+b)/a*(16*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x-8*I*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x-16*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a+24*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^2*a-8*I*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a^2+32*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x-48*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x-8*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a+3*I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*a*b+16*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b-24*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*a*b+8*I*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*3^(1/2)*((a*x^3+b)*x)^(1/2)*a*b-12*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a^2*x^3-8*I*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^2*a+24*((a*x^3+b)*x)^(1/2)*a^2*x^3+4*I*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*x^3*a^2+24*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*a*x^2+24*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x-9*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*a*b)/b^2/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2055,1,3307,403,0.021000," ","int(1/(a+b/x^3)^(3/2)/x^9,x)","\text{output too large to display}"," ",0,"2/21/((a*x^3+b)/x^3)^(3/2)/x^9*(a*x^3+b)*(29*I*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^4*a*b-80*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^6*a-160*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^6*a+240*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(1/3)*x^6*a-3*I*((a*x^3+b)*x)^(1/2)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*b+320*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x^5-480*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*(-a^2*b)^(2/3)*x^5+80*I*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^4*a*b+36*I*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^7*a^2-80*I*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^6*a+160*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a*b-240*((a*x^3+b)*x)^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*x^4*a*b-80*I*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^7*a^2-108*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^7*a^2+240*((a*x^3+b)*x)^(1/2)*x^7*a^2+240*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(1/3)*x^6*a-80*I*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^5+160*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^5+240*((a*x^3+b)*x)^(1/2)*(-a^2*b)^(2/3)*x^5-12*((a*x^3+b)*x)^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a-87*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^4*a*b+4*I*((a*x^3+b)*x)^(1/2)*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^3*a+9*((a*x^3+b)*x)^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*b)/b^3/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2056,1,3554,423,0.022000," ","int(1/(a+b/x^3)^(3/2)/x^12,x)","\text{output too large to display}"," ",0,"-2/273/((a*x^3+b)/x^3)^(3/2)/x^12*(a*x^3+b)*(92*I*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x^6*a^2-69*I*3^(1/2)*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*((a*x^3+b)*x)^(1/2)*x^3*a*b+3840*(-a^2*b)^(2/3)*((a*x^3+b)*x)^(1/2)*x^8*a+3840*(-a^2*b)^(1/3)*((a*x^3+b)*x)^(1/2)*x^9*a^2-1371*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^7*a^2*b-63*(a*x^4+b*x)^(1/2)*b^2*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-1280*I*(-a^2*b)^(1/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^9*a^2+457*I*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^7*a^2*b-1280*I*(-a^2*b)^(2/3)*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^8*a+21*I*(a*x^4+b*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*3^(1/2)*((a*x^3+b)*x)^(1/2)*b^2+207*a*(a*x^4+b*x)^(1/2)*x^3*b*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)-1280*I*(-a^2*b)^(1/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^9*a^2+2560*I*(-a^2*b)^(2/3)*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^8*a+1280*I*a^2*b*3^(1/2)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^7-276*a^2*(a*x^4+b*x)^(1/2)*x^6*((a*x^3+b)*x)^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)+548*I*3^(1/2)*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^10*a^3-1280*I*3^(1/2)*((a*x^3+b)*x)^(1/2)*x^10*a^3-1644*((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)*x^10*a^3+3840*((a*x^3+b)*x)^(1/2)*x^10*a^3-3840*a^2*b*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^7-7680*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^8*a+2560*a^2*b*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^7+3840*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticE((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^9*a^2+5120*(-a^2*b)^(2/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^8*a-2560*(-a^2*b)^(1/3)*(-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2)*((2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))/(1+I*3^(1/2))/(-a*x+(-a^2*b)^(1/3)))^(1/2)*((-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3)))^(1/2)*EllipticF((-(I*3^(1/2)-3)/(I*3^(1/2)-1)/(-a*x+(-a^2*b)^(1/3))*a*x)^(1/2),((I*3^(1/2)+3)*(I*3^(1/2)-1)/(1+I*3^(1/2))/(I*3^(1/2)-3))^(1/2))*((a*x^3+b)*x)^(1/2)*x^9*a^2)/b^4/(I*3^(1/2)-3)/((-a*x+(-a^2*b)^(1/3))*(2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)+(-a^2*b)^(1/3))*(-2*a*x+I*3^(1/2)*(-a^2*b)^(1/3)-(-a^2*b)^(1/3))/a^2*x)^(1/2)","B"
2057,1,133,125,0.008000," ","int(1/(a+b/x^4),x)","\frac{x}{a}-\frac{\left(\frac{b}{a}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{b}{a}\right)^{\frac{1}{4}}}-1\right)}{4 a}-\frac{\left(\frac{b}{a}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{b}{a}\right)^{\frac{1}{4}}}+1\right)}{4 a}-\frac{\left(\frac{b}{a}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\left(\frac{b}{a}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{b}{a}}}{x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{b}{a}}}\right)}{8 a}"," ",0,"1/a*x-1/8/a*(1/a*b)^(1/4)*2^(1/2)*ln((x^2+(1/a*b)^(1/4)*x*2^(1/2)+(1/a*b)^(1/2))/(x^2-(1/a*b)^(1/4)*x*2^(1/2)+(1/a*b)^(1/2)))-1/4/a*(1/a*b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(1/a*b)^(1/4)*x+1)-1/4/a*(1/a*b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(1/a*b)^(1/4)*x-1)","A"
2058,1,68,35,0.018000," ","int(x^3*(a+b/x^4)^(1/2),x)","\frac{\sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \left(\sqrt{a \,x^{4}+b}\, \sqrt{a}\, x^{2}+b \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)\right) x^{2}}{4 \sqrt{a \,x^{4}+b}\, \sqrt{a}}"," ",0,"1/4*((a*x^4+b)/x^4)^(1/2)*x^2*(x^2*(a*x^4+b)^(1/2)*a^(1/2)+b*ln(x^2*a^(1/2)+(a*x^4+b)^(1/2)))/(a*x^4+b)^(1/2)/a^(1/2)","A"
2059,1,64,37,0.013000," ","int(x*(a+b/x^4)^(1/2),x)","\frac{\sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \left(-\sqrt{b}\, \ln \left(\frac{2 b +2 \sqrt{a \,x^{4}+b}\, \sqrt{b}}{x^{2}}\right)+\sqrt{a \,x^{4}+b}\right) x^{2}}{2 \sqrt{a \,x^{4}+b}}"," ",0,"1/2*((a*x^4+b)/x^4)^(1/2)*x^2*(-b^(1/2)*ln(2*(b^(1/2)*(a*x^4+b)^(1/2)+b)/x^2)+(a*x^4+b)^(1/2))/(a*x^4+b)^(1/2)","A"
2060,1,80,31,0.012000," ","int((a+b/x^4)^(1/2)/x,x)","-\frac{\sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \left(-\sqrt{a \,x^{4}+b}\, a \,x^{4}-\sqrt{a}\, b \,x^{2} \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)+\left(a \,x^{4}+b \right)^{\frac{3}{2}}\right)}{2 \sqrt{a \,x^{4}+b}\, b}"," ",0,"-1/2*((a*x^4+b)/x^4)^(1/2)*(-a*x^4*(a*x^4+b)^(1/2)-a^(1/2)*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))*x^2*b+(a*x^4+b)^(3/2))/(a*x^4+b)^(1/2)/b","B"
2061,1,90,38,0.012000," ","int((a+b/x^4)^(1/2)/x^3,x)","-\frac{\sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \left(a b \,x^{4} \ln \left(\frac{2 b +2 \sqrt{a \,x^{4}+b}\, \sqrt{b}}{x^{2}}\right)-\sqrt{a \,x^{4}+b}\, a \sqrt{b}\, x^{4}+\left(a \,x^{4}+b \right)^{\frac{3}{2}} \sqrt{b}\right)}{4 \sqrt{a \,x^{4}+b}\, b^{\frac{3}{2}} x^{2}}"," ",0,"-1/4*((a*x^4+b)/x^4)^(1/2)/x^2*(-a*(a*x^4+b)^(1/2)*x^4*b^(1/2)+a*ln(2*(b+(a*x^4+b)^(1/2)*b^(1/2))/x^2)*x^4*b+(a*x^4+b)^(3/2)*b^(1/2))/(a*x^4+b)^(1/2)/b^(3/2)","B"
2062,1,130,114,0.047000," ","int(x^2*(a+b/x^4)^(1/2),x)","\frac{\sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,x^{5}+\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b x +2 \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, b \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)\right) x^{2}}{3 \left(a \,x^{4}+b \right) \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}}"," ",0,"1/3*((a*x^4+b)/x^4)^(1/2)*x^2*((I*a^(1/2)/b^(1/2))^(1/2)*x^5*a+2*b*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF(x*(I*a^(1/2)/b^(1/2))^(1/2),I)+(I*a^(1/2)/b^(1/2))^(1/2)*x*b)/(a*x^4+b)/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2063,1,202,240,0.013000," ","int((a+b/x^4)^(1/2),x)","\frac{\sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \left(-\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,x^{4}-2 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, \sqrt{a}\, \sqrt{b}\, x \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+2 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, \sqrt{a}\, \sqrt{b}\, x \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b \right) x}{\left(a \,x^{4}+b \right) \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}}"," ",0,"((a*x^4+b)/x^4)^(1/2)*x*(2*I*a^(1/2)*b^(1/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)-2*I*a^(1/2)*b^(1/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I)-(I*a^(1/2)/b^(1/2))^(1/2)*x^4*a-(I*a^(1/2)/b^(1/2))^(1/2)*b)/(a*x^4+b)/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2064,1,132,114,0.016000," ","int((a+b/x^4)^(1/2)/x^2,x)","-\frac{\sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,x^{4}-2 \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a \,x^{3} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b \right)}{3 \left(a \,x^{4}+b \right) \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x}"," ",0,"-1/3*((a*x^4+b)/x^4)^(1/2)*(-2*a*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*x^3+(I*a^(1/2)/b^(1/2))^(1/2)*a*x^4+(I*a^(1/2)/b^(1/2))^(1/2)*b)/x/(a*x^4+b)/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2065,1,235,244,0.018000," ","int((a+b/x^4)^(1/2)/x^4,x)","\frac{\sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \left(-2 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{2} \sqrt{b}\, x^{8}-2 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{\frac{3}{2}} b \,x^{5} \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+2 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{\frac{3}{2}} b \,x^{5} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-3 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,b^{\frac{3}{2}} x^{4}-\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{\frac{5}{2}}\right)}{5 \left(a \,x^{4}+b \right) \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{\frac{3}{2}} x^{3}}"," ",0,"1/5*((a*x^4+b)/x^4)^(1/2)*(2*I*a^(3/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x^5*b*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)-2*I*a^(3/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x^5*b*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I)-2*b^(1/2)*(I*a^(1/2)/b^(1/2))^(1/2)*x^8*a^2-3*b^(3/2)*(I*a^(1/2)/b^(1/2))^(1/2)*x^4*a-b^(5/2)*(I*a^(1/2)/b^(1/2))^(1/2))/x^3/(a*x^4+b)/b^(3/2)/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2066,1,82,47,0.022000," ","int((a+b/x^4)^(3/2)*x^3,x)","\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} \left(\sqrt{a \,x^{4}+b}\, a \,x^{4}+3 \sqrt{a}\, b \,x^{2} \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)-2 \sqrt{a \,x^{4}+b}\, b \right) x^{4}}{4 \left(a \,x^{4}+b \right)^{\frac{3}{2}}}"," ",0,"1/4*((a*x^4+b)/x^4)^(3/2)*x^4*((a*x^4+b)^(1/2)*a*x^4+3*a^(1/2)*b*x^2*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))-2*b*(a*x^4+b)^(1/2))/(a*x^4+b)^(3/2)","A"
2067,1,86,53,0.019000," ","int((a+b/x^4)^(3/2)*x,x)","\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} \left(-3 a \sqrt{b}\, x^{4} \ln \left(\frac{2 b +2 \sqrt{a \,x^{4}+b}\, \sqrt{b}}{x^{2}}\right)+2 \sqrt{a \,x^{4}+b}\, a \,x^{4}-\sqrt{a \,x^{4}+b}\, b \right) x^{2}}{4 \left(a \,x^{4}+b \right)^{\frac{3}{2}}}"," ",0,"1/4*((a*x^4+b)/x^4)^(3/2)*x^2*(-3*a*b^(1/2)*ln(2*(b+(a*x^4+b)^(1/2)*b^(1/2))/x^2)*x^4+2*(a*x^4+b)^(1/2)*a*x^4-(a*x^4+b)^(1/2)*b)/(a*x^4+b)^(3/2)","A"
2068,1,78,43,0.019000," ","int((a+b/x^4)^(3/2)/x,x)","-\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} \left(-3 a^{\frac{3}{2}} x^{6} \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)+4 \sqrt{a \,x^{4}+b}\, a \,x^{4}+\sqrt{a \,x^{4}+b}\, b \right)}{6 \left(a \,x^{4}+b \right)^{\frac{3}{2}}}"," ",0,"-1/6*((a*x^4+b)/x^4)^(3/2)*(-3*a^(3/2)*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))*x^6+4*(a*x^4+b)^(1/2)*a*x^4+(a*x^4+b)^(1/2)*b)/(a*x^4+b)^(3/2)","A"
2069,1,93,55,0.018000," ","int((a+b/x^4)^(3/2)/x^3,x)","-\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} \left(3 a^{2} x^{8} \ln \left(\frac{2 b +2 \sqrt{a \,x^{4}+b}\, \sqrt{b}}{x^{2}}\right)+5 \sqrt{a \,x^{4}+b}\, a \sqrt{b}\, x^{4}+2 \sqrt{a \,x^{4}+b}\, b^{\frac{3}{2}}\right)}{16 \left(a \,x^{4}+b \right)^{\frac{3}{2}} \sqrt{b}\, x^{2}}"," ",0,"-1/16*((a*x^4+b)/x^4)^(3/2)/x^2*(3*a^2*ln(2*(b+(a*x^4+b)^(1/2)*b^(1/2))/x^2)*x^8+5*(a*x^4+b)^(1/2)*a*b^(1/2)*x^4+2*b^(3/2)*(a*x^4+b)^(1/2))/(a*x^4+b)^(3/2)/b^(1/2)","A"
2070,1,138,129,0.014000," ","int((a+b/x^4)^(3/2)*x^2,x)","\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{2} x^{8}+4 \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a b \,x^{3} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{2}\right) x^{3}}{3 \left(a \,x^{4}+b \right)^{2} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}}"," ",0,"1/3*((a*x^4+b)/x^4)^(3/2)*x^3*((I*a^(1/2)/b^(1/2))^(1/2)*x^8*a^2+4*a*b*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*x^3-(I*a^(1/2)/b^(1/2))^(1/2)*b^2)/(a*x^4+b)^2/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2071,1,228,256,0.017000," ","int((a+b/x^4)^(3/2),x)","-\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} \left(7 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{2} x^{8}+12 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{\frac{3}{2}} \sqrt{b}\, x^{5} \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-12 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{\frac{3}{2}} \sqrt{b}\, x^{5} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+8 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a b \,x^{4}+\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{2}\right) x}{5 \left(a \,x^{4}+b \right)^{2} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}}"," ",0,"-1/5*((a*x^4+b)/x^4)^(3/2)*x*(-12*I*a^(3/2)*b^(1/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x^5*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)+12*I*a^(3/2)*b^(1/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x^5*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I)+7*(I*a^(1/2)/b^(1/2))^(1/2)*a^2*x^8+8*(I*a^(1/2)/b^(1/2))^(1/2)*x^4*a*b+(I*a^(1/2)/b^(1/2))^(1/2)*b^2)/(a*x^4+b)^2/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2072,1,158,129,0.019000," ","int((a+b/x^4)^(3/2)/x^2,x)","\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} \left(-3 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{2} x^{8}+4 \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{2} x^{7} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-4 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a b \,x^{4}-\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{2}\right)}{7 \left(a \,x^{4}+b \right)^{2} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x}"," ",0,"1/7*((a*x^4+b)/x^4)^(3/2)*(4*a^2*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*x^7-3*(I*a^(1/2)/b^(1/2))^(1/2)*a^2*x^8-4*(I*a^(1/2)/b^(1/2))^(1/2)*a*b*x^4-(I*a^(1/2)/b^(1/2))^(1/2)*b^2)/x/(a*x^4+b)^2/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2073,1,257,261,0.023000," ","int((a+b/x^4)^(3/2)/x^4,x)","-\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} \left(12 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{3} \sqrt{b}\, x^{12}+12 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{\frac{5}{2}} b \,x^{9} \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-12 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{\frac{5}{2}} b \,x^{9} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+23 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{2} b^{\frac{3}{2}} x^{8}+16 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,b^{\frac{5}{2}} x^{4}+5 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{\frac{7}{2}}\right)}{45 \left(a \,x^{4}+b \right)^{2} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{\frac{3}{2}} x^{3}}"," ",0,"-1/45*((a*x^4+b)/x^4)^(3/2)*(-12*I*a^(5/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x^9*b*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)+12*I*a^(5/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x^9*b*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I)+12*(I*a^(1/2)/b^(1/2))^(1/2)*b^(1/2)*x^12*a^3+23*(I*a^(1/2)/b^(1/2))^(1/2)*b^(3/2)*x^8*a^2+16*(I*a^(1/2)/b^(1/2))^(1/2)*b^(5/2)*x^4*a+5*(I*a^(1/2)/b^(1/2))^(1/2)*b^(7/2))/x^3/(a*x^4+b)^2/b^(3/2)/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2074,1,103,60,0.020000," ","int((a+b/x^4)^(5/2)*x^3,x)","\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \left(3 \sqrt{a \,x^{4}+b}\, a^{2} x^{8}+15 a^{\frac{3}{2}} b \,x^{6} \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)-14 \sqrt{a \,x^{4}+b}\, a b \,x^{4}-2 \sqrt{a \,x^{4}+b}\, b^{2}\right) x^{4}}{12 \left(a \,x^{4}+b \right)^{\frac{5}{2}}}"," ",0,"1/12*((a*x^4+b)/x^4)^(5/2)*x^4*(3*a^2*x^8*(a*x^4+b)^(1/2)+15*a^(3/2)*b*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))*x^6-14*a*b*(a*x^4+b)^(1/2)*x^4-2*b^2*(a*x^4+b)^(1/2))/(a*x^4+b)^(5/2)","A"
2075,1,108,71,0.017000," ","int((a+b/x^4)^(5/2)*x,x)","\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \left(-15 a^{2} \sqrt{b}\, x^{8} \ln \left(\frac{2 b +2 \sqrt{a \,x^{4}+b}\, \sqrt{b}}{x^{2}}\right)+8 \sqrt{a \,x^{4}+b}\, a^{2} x^{8}-9 \sqrt{a \,x^{4}+b}\, a b \,x^{4}-2 \sqrt{a \,x^{4}+b}\, b^{2}\right) x^{2}}{16 \left(a \,x^{4}+b \right)^{\frac{5}{2}}}"," ",0,"1/16*((a*x^4+b)/x^4)^(5/2)*x^2*(-15*a^2*b^(1/2)*ln(2*(b+(a*x^4+b)^(1/2)*b^(1/2))/x^2)*x^8+8*(a*x^4+b)^(1/2)*a^2*x^8-9*(a*x^4+b)^(1/2)*a*b*x^4-2*(a*x^4+b)^(1/2)*b^2)/(a*x^4+b)^(5/2)","A"
2076,1,99,57,0.023000," ","int((a+b/x^4)^(5/2)/x,x)","-\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \left(-15 a^{\frac{5}{2}} x^{10} \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)+23 \sqrt{a \,x^{4}+b}\, a^{2} x^{8}+11 \sqrt{a \,x^{4}+b}\, a b \,x^{4}+3 \sqrt{a \,x^{4}+b}\, b^{2}\right)}{30 \left(a \,x^{4}+b \right)^{\frac{5}{2}}}"," ",0,"-1/30*((a*x^4+b)/x^4)^(5/2)*(-15*a^(5/2)*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))*x^10+23*(a*x^4+b)^(1/2)*a^2*x^8+11*(a*x^4+b)^(1/2)*a*b*x^4+3*(a*x^4+b)^(1/2)*b^2)/(a*x^4+b)^(5/2)","A"
2077,1,113,72,0.023000," ","int((a+b/x^4)^(5/2)/x^3,x)","-\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \left(15 a^{3} x^{12} \ln \left(\frac{2 b +2 \sqrt{a \,x^{4}+b}\, \sqrt{b}}{x^{2}}\right)+33 \sqrt{a \,x^{4}+b}\, a^{2} \sqrt{b}\, x^{8}+26 \sqrt{a \,x^{4}+b}\, a \,b^{\frac{3}{2}} x^{4}+8 \sqrt{a \,x^{4}+b}\, b^{\frac{5}{2}}\right)}{96 \left(a \,x^{4}+b \right)^{\frac{5}{2}} \sqrt{b}\, x^{2}}"," ",0,"-1/96*((a*x^4+b)/x^4)^(5/2)/x^2*(15*a^3*ln(2*(b+(a*x^4+b)^(1/2)*b^(1/2))/x^2)*x^12+33*a^2*(a*x^4+b)^(1/2)*x^8*b^(1/2)+26*a*b^(3/2)*(a*x^4+b)^(1/2)*x^4+8*b^(5/2)*(a*x^4+b)^(1/2))/(a*x^4+b)^(5/2)/b^(1/2)","A"
2078,1,181,145,0.020000," ","int((a+b/x^4)^(5/2)*x^2,x)","\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \left(7 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{3} x^{12}-9 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{2} b \,x^{8}+40 \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{2} b \,x^{7} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-19 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,b^{2} x^{4}-3 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{3}\right) x^{3}}{21 \left(a \,x^{4}+b \right)^{3} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}}"," ",0,"1/21*((a*x^4+b)/x^4)^(5/2)*x^3*(7*(I*a^(1/2)/b^(1/2))^(1/2)*x^12*a^3+40*a^2*b*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*x^7-9*(I*a^(1/2)/b^(1/2))^(1/2)*x^8*a^2*b-19*(I*a^(1/2)/b^(1/2))^(1/2)*x^4*a*b^2-3*(I*a^(1/2)/b^(1/2))^(1/2)*b^3)/(a*x^4+b)^3/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2079,1,251,274,0.020000," ","int((a+b/x^4)^(5/2),x)","\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \left(-15 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{3} x^{12}-24 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{\frac{5}{2}} \sqrt{b}\, x^{9} \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+24 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{\frac{5}{2}} \sqrt{b}\, x^{9} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-19 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{2} b \,x^{8}-5 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,b^{2} x^{4}-\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{3}\right) x}{9 \left(a \,x^{4}+b \right)^{3} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}}"," ",0,"1/9*((a*x^4+b)/x^4)^(5/2)*x*(24*I*a^(5/2)*b^(1/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x^9*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)-24*I*a^(5/2)*b^(1/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x^9*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I)-15*(I*a^(1/2)/b^(1/2))^(1/2)*a^3*x^12-19*(I*a^(1/2)/b^(1/2))^(1/2)*a^2*b*x^8-5*(I*a^(1/2)/b^(1/2))^(1/2)*a*b^2*x^4-(I*a^(1/2)/b^(1/2))^(1/2)*b^3)/(a*x^4+b)^3/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2080,1,180,146,0.025000," ","int((a+b/x^4)^(5/2)/x^2,x)","-\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \left(37 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{3} x^{12}-40 \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{3} x^{11} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+61 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{2} b \,x^{8}+31 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,b^{2} x^{4}+7 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{3}\right)}{77 \left(a \,x^{4}+b \right)^{3} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x}"," ",0,"-1/77*((a*x^4+b)/x^4)^(5/2)*(-40*a^3*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*x^11+37*(I*a^(1/2)/b^(1/2))^(1/2)*a^3*x^12+61*(I*a^(1/2)/b^(1/2))^(1/2)*a^2*b*x^8+31*(I*a^(1/2)/b^(1/2))^(1/2)*a*b^2*x^4+7*(I*a^(1/2)/b^(1/2))^(1/2)*b^3)/x/(a*x^4+b)^3/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2081,1,279,278,0.026000," ","int((a+b/x^4)^(5/2)/x^4,x)","\frac{\left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \left(-24 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{4} \sqrt{b}\, x^{16}-24 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{\frac{7}{2}} b \,x^{13} \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+24 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{\frac{7}{2}} b \,x^{13} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-55 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{3} b^{\frac{3}{2}} x^{12}-59 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{2} b^{\frac{5}{2}} x^{8}-37 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,b^{\frac{7}{2}} x^{4}-9 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{\frac{9}{2}}\right)}{117 \left(a \,x^{4}+b \right)^{3} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{\frac{3}{2}} x^{3}}"," ",0,"1/117*((a*x^4+b)/x^4)^(5/2)*(24*I*a^(7/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x^13*b*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)-24*I*a^(7/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x^13*b*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I)-24*b^(1/2)*(I*a^(1/2)/b^(1/2))^(1/2)*x^16*a^4-55*b^(3/2)*(I*a^(1/2)/b^(1/2))^(1/2)*x^12*a^3-59*b^(5/2)*(I*a^(1/2)/b^(1/2))^(1/2)*x^8*a^2-37*b^(7/2)*(I*a^(1/2)/b^(1/2))^(1/2)*x^4*a-9*b^(9/2)*(I*a^(1/2)/b^(1/2))^(1/2))/x^3/(a*x^4+b)^3/b^(3/2)/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2082,1,70,38,0.016000," ","int(x^3/(a+b/x^4)^(1/2),x)","\frac{\sqrt{a \,x^{4}+b}\, \left(\sqrt{a \,x^{4}+b}\, a^{\frac{3}{2}} x^{2}-a b \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)\right)}{4 \sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, a^{\frac{5}{2}} x^{2}}"," ",0,"1/4*(a*x^4+b)^(1/2)*(x^2*(a*x^4+b)^(1/2)*a^(3/2)-b*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))*a)/((a*x^4+b)/x^4)^(1/2)/x^2/a^(5/2)","A"
2083,1,29,17,0.006000," ","int(x/(a+b/x^4)^(1/2),x)","\frac{a \,x^{4}+b}{2 \sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, a \,x^{2}}"," ",0,"1/2*(a*x^4+b)/a/x^2/((a*x^4+b)/x^4)^(1/2)","A"
2084,1,49,19,0.008000," ","int(1/x/(a+b/x^4)^(1/2),x)","\frac{\sqrt{a \,x^{4}+b}\, \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)}{2 \sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \sqrt{a}\, x^{2}}"," ",0,"1/2/((a*x^4+b)/x^4)^(1/2)/x^2*(a*x^4+b)^(1/2)*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))/a^(1/2)","B"
2085,1,52,22,0.012000," ","int(1/x^3/(a+b/x^4)^(1/2),x)","-\frac{\sqrt{a \,x^{4}+b}\, \ln \left(\frac{2 b +2 \sqrt{a \,x^{4}+b}\, \sqrt{b}}{x^{2}}\right)}{2 \sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \sqrt{b}\, x^{2}}"," ",0,"-1/2/((a*x^4+b)/x^4)^(1/2)/x^2*(a*x^4+b)^(1/2)/b^(1/2)*ln(2*(b+(a*x^4+b)^(1/2)*b^(1/2))/x^2)","B"
2086,1,124,117,0.012000," ","int(x^2/(a+b/x^4)^(1/2),x)","\frac{\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,x^{5}+\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b x -\sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, b \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)}{3 \sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,x^{2}}"," ",0,"1/3*((I*a^(1/2)/b^(1/2))^(1/2)*a*x^5-b*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)+(I*a^(1/2)/b^(1/2))^(1/2)*b*x)/((a*x^4+b)/x^4)^(1/2)/x^2/a/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2087,1,113,245,0.010000," ","int(1/(a+b/x^4)^(1/2),x)","\frac{i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, \left(-\EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+\EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)\right) \sqrt{b}}{\sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, \sqrt{a}\, x^{2}}"," ",0,"I/((a*x^4+b)/x^4)^(1/2)/x^2*b^(1/2)/(I*a^(1/2)/b^(1/2))^(1/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)/a^(1/2)*(EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)-EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I))","C"
2088,1,86,99,0.009000," ","int(1/x^2/(a+b/x^4)^(1/2),x)","\frac{\sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)}{\sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x^{2}}"," ",0,"1/((a*x^4+b)/x^4)^(1/2)/x^2/(I*a^(1/2)/b^(1/2))^(1/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)","C"
2089,1,199,228,0.013000," ","int(1/x^4/(a+b/x^4)^(1/2),x)","\frac{-\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \sqrt{b}\, x^{4}-i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, \sqrt{a}\, b x \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, \sqrt{a}\, b x \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{\frac{3}{2}}}{\sqrt{\frac{a \,x^{4}+b}{x^{4}}}\, \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{\frac{3}{2}} x^{3}}"," ",0,"(I*a^(1/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x*b*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)-I*a^(1/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*x*b*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I)-b^(1/2)*(I*a^(1/2)/b^(1/2))^(1/2)*x^4*a-b^(3/2)*(I*a^(1/2)/b^(1/2))^(1/2))/((a*x^4+b)/x^4)^(1/2)/x^3/b^(3/2)/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2090,1,79,53,0.017000," ","int(x^3/(a+b/x^4)^(3/2),x)","\frac{\left(a \,x^{4}+b \right) \left(a^{\frac{7}{2}} x^{6}+3 a^{\frac{5}{2}} b \,x^{2}-3 \sqrt{a \,x^{4}+b}\, a^{2} b \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)\right)}{4 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} a^{\frac{9}{2}} x^{6}}"," ",0,"1/4*(a*x^4+b)*(x^6*a^(7/2)+3*x^2*b*a^(5/2)-3*b*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))*a^2*(a*x^4+b)^(1/2))/((a*x^4+b)/x^4)^(3/2)/x^6/a^(9/2)","A"
2091,1,38,34,0.004000," ","int(x/(a+b/x^4)^(3/2),x)","\frac{\left(a \,x^{4}+b \right) \left(a \,x^{4}+2 b \right)}{2 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} a^{2} x^{6}}"," ",0,"1/2*(a*x^4+b)*(a*x^4+2*b)/a^2/x^6/((a*x^4+b)/x^4)^(3/2)","A"
2092,1,67,34,0.014000," ","int(1/(a+b/x^4)^(3/2)/x,x)","-\frac{\left(a \,x^{4}+b \right) \left(a^{\frac{3}{2}} x^{2}-\sqrt{a \,x^{4}+b}\, a \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)\right)}{2 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} a^{\frac{5}{2}} x^{6}}"," ",0,"-1/2*(a*x^4+b)*(x^2*a^(3/2)-ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))*a*(a*x^4+b)^(1/2))/((a*x^4+b)/x^4)^(3/2)/x^6/a^(5/2)","A"
2093,1,29,17,0.005000," ","int(1/(a+b/x^4)^(3/2)/x^3,x)","-\frac{a \,x^{4}+b}{2 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} a \,x^{6}}"," ",0,"-1/2*(a*x^4+b)/a/x^6/((a*x^4+b)/x^4)^(3/2)","A"
2094,1,133,134,0.019000," ","int(x^2/(a+b/x^4)^(3/2),x)","\frac{\left(a \,x^{4}+b \right) \left(2 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,x^{5}+5 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b x -5 \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, b \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)\right)}{6 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{2} x^{6}}"," ",0,"1/6*(a*x^4+b)*(2*(I*a^(1/2)/b^(1/2))^(1/2)*a*x^5-5*b*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)+5*(I*a^(1/2)/b^(1/2))^(1/2)*b*x)/((a*x^4+b)/x^4)^(3/2)/x^6/a^2/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2095,1,187,262,0.014000," ","int(1/(a+b/x^4)^(3/2),x)","-\frac{\left(a \,x^{4}+b \right) \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{\frac{3}{2}} x^{3}+3 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a \sqrt{b}\, \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-3 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a \sqrt{b}\, \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)\right)}{2 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{\frac{5}{2}} x^{6}}"," ",0,"-1/2*(a*x^4+b)*(x^3*a^(3/2)*(I*a^(1/2)/b^(1/2))^(1/2)-3*I*b^(1/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*a*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)+3*I*b^(1/2)*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*a*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I))/((a*x^4+b)/x^4)^(3/2)/x^6/a^(5/2)/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2096,1,113,117,0.013000," ","int(1/(a+b/x^4)^(3/2)/x^2,x)","-\frac{\left(a \,x^{4}+b \right) \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x -\sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)\right)}{2 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,x^{6}}"," ",0,"-1/2*(a*x^4+b)*(-(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)+(I*a^(1/2)/b^(1/2))^(1/2)*x)/((a*x^4+b)/x^4)^(3/2)/x^6/a/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2097,1,187,249,0.013000," ","int(1/(a+b/x^4)^(3/2)/x^4,x)","\frac{\left(a \,x^{4}+b \right) \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, \sqrt{a}\, \sqrt{b}\, x^{3}+i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, b \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, b \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)\right)}{2 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{3}{2}} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, \sqrt{a}\, b^{\frac{3}{2}} x^{6}}"," ",0,"1/2*(a*x^4+b)*(x^3*b^(1/2)*(I*a^(1/2)/b^(1/2))^(1/2)*a^(1/2)-I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*b*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)+I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*b*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I))/((a*x^4+b)/x^4)^(3/2)/x^6/b^(3/2)/(I*a^(1/2)/b^(1/2))^(1/2)/a^(1/2)","C"
2098,1,282,68,0.066000," ","int(x^3/(a+b/x^4)^(5/2),x)","\frac{\left(a \,x^{4}+b \right)^{\frac{5}{2}} \left(3 \sqrt{a \,x^{4}+b}\, a^{\frac{15}{2}} x^{10}-15 a^{7} b \,x^{8} \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)+14 \sqrt{-\frac{\left(-a \,x^{2}+\sqrt{-a b}\right) \left(a \,x^{2}+\sqrt{-a b}\right)}{a}}\, a^{\frac{13}{2}} b \,x^{6}+6 \sqrt{a \,x^{4}+b}\, a^{\frac{13}{2}} b \,x^{6}-30 a^{6} b^{2} x^{4} \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)+12 \sqrt{-\frac{\left(-a \,x^{2}+\sqrt{-a b}\right) \left(a \,x^{2}+\sqrt{-a b}\right)}{a}}\, a^{\frac{11}{2}} b^{2} x^{2}+3 \sqrt{a \,x^{4}+b}\, a^{\frac{11}{2}} b^{2} x^{2}-15 a^{5} b^{3} \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)\right)}{12 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \left(-a \,x^{2}+\sqrt{-a b}\right)^{2} \left(a \,x^{2}+\sqrt{-a b}\right)^{2} a^{\frac{13}{2}} x^{10}}"," ",0,"1/12*(a*x^4+b)^(5/2)*(3*a^(15/2)*(a*x^4+b)^(1/2)*x^10+14*a^(13/2)*(-(-a*x^2+(-a*b)^(1/2))/a*(a*x^2+(-a*b)^(1/2)))^(1/2)*x^6*b+6*a^(13/2)*b*(a*x^4+b)^(1/2)*x^6-15*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))*x^8*a^7*b+12*a^(11/2)*(-(-a*x^2+(-a*b)^(1/2))/a*(a*x^2+(-a*b)^(1/2)))^(1/2)*b^2*x^2+3*a^(11/2)*b^2*(a*x^4+b)^(1/2)*x^2-30*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))*a^6*b^2*x^4-15*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))*a^5*b^3)/a^(13/2)/((a*x^4+b)/x^4)^(5/2)/x^10/(-a*x^2+(-a*b)^(1/2))^2/(a*x^2+(-a*b)^(1/2))^2","B"
2099,1,50,52,0.006000," ","int(x/(a+b/x^4)^(5/2),x)","\frac{\left(a \,x^{4}+b \right) \left(3 x^{8} a^{2}+12 a b \,x^{4}+8 b^{2}\right)}{6 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} a^{3} x^{10}}"," ",0,"1/6*(a*x^4+b)*(3*a^2*x^8+12*a*b*x^4+8*b^2)/a^3/x^10/((a*x^4+b)/x^4)^(5/2)","A"
2100,1,221,48,0.026000," ","int(1/(a+b/x^4)^(5/2)/x,x)","-\frac{\left(a \,x^{4}+b \right)^{\frac{5}{2}} \left(-3 a^{5} x^{8} \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)+4 \sqrt{-\frac{\left(-a \,x^{2}+\sqrt{-a b}\right) \left(a \,x^{2}+\sqrt{-a b}\right)}{a}}\, a^{\frac{9}{2}} x^{6}-6 a^{4} b \,x^{4} \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)+3 \sqrt{-\frac{\left(-a \,x^{2}+\sqrt{-a b}\right) \left(a \,x^{2}+\sqrt{-a b}\right)}{a}}\, a^{\frac{7}{2}} b \,x^{2}-3 a^{3} b^{2} \ln \left(\sqrt{a}\, x^{2}+\sqrt{a \,x^{4}+b}\right)\right)}{6 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \left(-a \,x^{2}+\sqrt{-a b}\right)^{2} \left(a \,x^{2}+\sqrt{-a b}\right)^{2} a^{\frac{7}{2}} x^{10}}"," ",0,"-1/6*(a*x^4+b)^(5/2)*(4*a^(9/2)*(-(-a*x^2+(-a*b)^(1/2))*(a*x^2+(-a*b)^(1/2))/a)^(1/2)*x^6-3*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))*x^8*a^5+3*a^(7/2)*b*(-(-a*x^2+(-a*b)^(1/2))*(a*x^2+(-a*b)^(1/2))/a)^(1/2)*x^2-6*a^4*b*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2))*x^4-3*a^3*b^2*ln(a^(1/2)*x^2+(a*x^4+b)^(1/2)))/a^(7/2)/((a*x^4+b)/x^4)^(5/2)/x^10/(-a*x^2+(-a*b)^(1/2))^2/(a*x^2+(-a*b)^(1/2))^2","B"
2101,1,39,36,0.006000," ","int(1/(a+b/x^4)^(5/2)/x^3,x)","-\frac{\left(a \,x^{4}+b \right) \left(3 a \,x^{4}+2 b \right)}{6 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} a^{2} x^{10}}"," ",0,"-1/6*(a*x^4+b)*(3*a*x^4+2*b)/a^2/x^10/((a*x^4+b)/x^4)^(5/2)","A"
2102,1,304,151,0.023000," ","int(x^2/(a+b/x^4)^(5/2),x)","\frac{4 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{3} x^{13}+25 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{2} b \,x^{9}-15 \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{2} b \,x^{8} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+36 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a \,b^{2} x^{5}-30 \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a \,b^{2} x^{4} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+15 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{3} x -15 \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, b^{3} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)}{12 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{3} x^{10}}"," ",0,"1/12*(4*(I*a^(1/2)/b^(1/2))^(1/2)*x^13*a^3-15*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*x^8*a^2*b+25*(I*a^(1/2)/b^(1/2))^(1/2)*x^9*a^2*b-30*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*x^4*a*b^2+36*(I*a^(1/2)/b^(1/2))^(1/2)*x^5*a*b^2-15*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*b^3+15*(I*a^(1/2)/b^(1/2))^(1/2)*x*b^3)/a^3/((a*x^4+b)/x^4)^(5/2)/x^10/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2103,1,503,277,0.022000," ","int(1/(a+b/x^4)^(5/2),x)","-\frac{9 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{\frac{9}{2}} x^{11}+21 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{4} \sqrt{b}\, x^{8} \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-21 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{4} \sqrt{b}\, x^{8} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+16 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{\frac{7}{2}} b \,x^{7}+42 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{3} b^{\frac{3}{2}} x^{4} \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-42 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{3} b^{\frac{3}{2}} x^{4} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+7 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{\frac{5}{2}} b^{2} x^{3}+21 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{2} b^{\frac{5}{2}} \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-21 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{2} b^{\frac{5}{2}} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)}{12 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{\frac{9}{2}} x^{10}}"," ",0,"-1/12*(9*(I*a^(1/2)/b^(1/2))^(1/2)*a^(9/2)*x^11-21*I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*b^(1/2)*x^8*a^4+21*I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*b^(1/2)*x^8*a^4+16*(I*a^(1/2)/b^(1/2))^(1/2)*a^(7/2)*x^7*b-42*I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*b^(3/2)*x^4*a^3+42*I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*b^(3/2)*x^4*a^3+7*(I*a^(1/2)/b^(1/2))^(1/2)*a^(5/2)*x^3*b^2-21*I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*b^(5/2)*a^2+21*I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*b^(5/2)*a^2)/a^(9/2)/((a*x^4+b)/x^4)^(5/2)/x^10/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2104,1,279,134,0.022000," ","int(1/(a+b/x^4)^(5/2)/x^2,x)","-\frac{7 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{2} x^{9}-5 \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{2} x^{8} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+12 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a b \,x^{5}-10 \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a b \,x^{4} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+5 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, b^{2} x -5 \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, b^{2} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)}{12 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{2} x^{10}}"," ",0,"-1/12*(-5*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*x^8*a^2+7*(I*a^(1/2)/b^(1/2))^(1/2)*x^9*a^2-10*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*x^4*a*b+12*(I*a^(1/2)/b^(1/2))^(1/2)*x^5*a*b-5*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*b^2+5*(I*a^(1/2)/b^(1/2))^(1/2)*x*b^2)/a^2/((a*x^4+b)/x^4)^(5/2)/x^10/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2105,1,503,266,0.021000," ","int(1/(a+b/x^4)^(5/2)/x^4,x)","-\frac{-3 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{\frac{7}{2}} \sqrt{b}\, x^{11}-3 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{3} b \,x^{8} \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+3 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{3} b \,x^{8} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-4 \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{\frac{5}{2}} b^{\frac{3}{2}} x^{7}-6 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{2} b^{2} x^{4} \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+6 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a^{2} b^{2} x^{4} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)-\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{\frac{3}{2}} b^{\frac{5}{2}} x^{3}-3 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a \,b^{3} \EllipticE \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)+3 i \sqrt{-\frac{i \sqrt{a}\, x^{2}-\sqrt{b}}{\sqrt{b}}}\, \sqrt{\frac{i \sqrt{a}\, x^{2}+\sqrt{b}}{\sqrt{b}}}\, a \,b^{3} \EllipticF \left(\sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, x , i\right)}{12 \left(\frac{a \,x^{4}+b}{x^{4}}\right)^{\frac{5}{2}} \sqrt{\frac{i \sqrt{a}}{\sqrt{b}}}\, a^{\frac{5}{2}} b^{\frac{3}{2}} x^{10}}"," ",0,"-1/12*(-3*a^(7/2)*b^(1/2)*(I*a^(1/2)/b^(1/2))^(1/2)*x^11+3*I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*x^8*a^3*b-3*I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*x^8*a^3*b-4*a^(5/2)*b^(3/2)*(I*a^(1/2)/b^(1/2))^(1/2)*x^7+6*I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*x^4*a^2*b^2-6*I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*x^4*a^2*b^2-a^(3/2)*b^(5/2)*(I*a^(1/2)/b^(1/2))^(1/2)*x^3+3*I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticF((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*a*b^3-3*I*(-(I*a^(1/2)*x^2-b^(1/2))/b^(1/2))^(1/2)*((I*a^(1/2)*x^2+b^(1/2))/b^(1/2))^(1/2)*EllipticE((I*a^(1/2)/b^(1/2))^(1/2)*x,I)*a*b^3)/a^(5/2)/((a*x^4+b)/x^4)^(5/2)/x^10/b^(3/2)/(I*a^(1/2)/b^(1/2))^(1/2)","C"
2106,1,911,203,0.092000," ","int(1/(a+b/x^5),x)","\frac{x}{a}+\frac{20 b \arctan \left(\frac{4 x}{\sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}-2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}}-\frac{\left(\frac{b}{a}\right)^{\frac{1}{5}} \sqrt{5}}{\sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}-2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}}-\frac{\left(\frac{b}{a}\right)^{\frac{1}{5}}}{\sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}-2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}}\right)}{\left(\frac{b}{a}\right)^{\frac{3}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) \sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}-2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}\, a^{2}}-\frac{4 \sqrt{5}\, b \arctan \left(\frac{4 x}{\sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}-2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}}-\frac{\left(\frac{b}{a}\right)^{\frac{1}{5}} \sqrt{5}}{\sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}-2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}}-\frac{\left(\frac{b}{a}\right)^{\frac{1}{5}}}{\sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}-2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}}\right)}{\left(\frac{b}{a}\right)^{\frac{3}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) \sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}-2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}\, a^{2}}+\frac{20 b \arctan \left(\frac{4 x}{\sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}+2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}}+\frac{\left(\frac{b}{a}\right)^{\frac{1}{5}} \sqrt{5}}{\sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}+2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}}-\frac{\left(\frac{b}{a}\right)^{\frac{1}{5}}}{\sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}+2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}}\right)}{\left(\frac{b}{a}\right)^{\frac{3}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) \sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}+2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}\, a^{2}}+\frac{4 \sqrt{5}\, b \arctan \left(\frac{4 x}{\sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}+2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}}+\frac{\left(\frac{b}{a}\right)^{\frac{1}{5}} \sqrt{5}}{\sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}+2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}}-\frac{\left(\frac{b}{a}\right)^{\frac{1}{5}}}{\sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}+2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}}\right)}{\left(\frac{b}{a}\right)^{\frac{3}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) \sqrt{10 \left(\frac{b}{a}\right)^{\frac{2}{5}}+2 \left(\frac{b}{a}\right)^{\frac{2}{5}} \sqrt{5}}\, a^{2}}+\frac{4 b \ln \left(x +\left(\frac{b}{a}\right)^{\frac{1}{5}}\right)}{\left(\frac{b}{a}\right)^{\frac{4}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) a^{2}}-\frac{\sqrt{5}\, b \ln \left(2 x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{5}} \sqrt{5}\, x -\left(\frac{b}{a}\right)^{\frac{1}{5}} x +2 \left(\frac{b}{a}\right)^{\frac{2}{5}}\right)}{\left(\frac{b}{a}\right)^{\frac{4}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) a^{2}}-\frac{b \ln \left(2 x^{2}-\left(\frac{b}{a}\right)^{\frac{1}{5}} \sqrt{5}\, x -\left(\frac{b}{a}\right)^{\frac{1}{5}} x +2 \left(\frac{b}{a}\right)^{\frac{2}{5}}\right)}{\left(\frac{b}{a}\right)^{\frac{4}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) a^{2}}+\frac{\sqrt{5}\, b \ln \left(2 x^{2}+\left(\frac{b}{a}\right)^{\frac{1}{5}} \sqrt{5}\, x -\left(\frac{b}{a}\right)^{\frac{1}{5}} x +2 \left(\frac{b}{a}\right)^{\frac{2}{5}}\right)}{\left(\frac{b}{a}\right)^{\frac{4}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) a^{2}}-\frac{b \ln \left(2 x^{2}+\left(\frac{b}{a}\right)^{\frac{1}{5}} \sqrt{5}\, x -\left(\frac{b}{a}\right)^{\frac{1}{5}} x +2 \left(\frac{b}{a}\right)^{\frac{2}{5}}\right)}{\left(\frac{b}{a}\right)^{\frac{4}{5}} \left(\sqrt{5}-5\right) \left(5+\sqrt{5}\right) a^{2}}"," ",0,"1/a*x+1/a^2*b/(1/a*b)^(4/5)/(5^(1/2)-5)/(5+5^(1/2))*ln((1/a*b)^(1/5)*x*5^(1/2)+2*(1/a*b)^(2/5)-(1/a*b)^(1/5)*x+2*x^2)*5^(1/2)-1/a^2*b/(1/a*b)^(4/5)/(5^(1/2)-5)/(5+5^(1/2))*ln((1/a*b)^(1/5)*x*5^(1/2)+2*(1/a*b)^(2/5)-(1/a*b)^(1/5)*x+2*x^2)+20/a^2*b/(1/a*b)^(3/5)/(5^(1/2)-5)/(5+5^(1/2))/(10*(1/a*b)^(2/5)+2*(1/a*b)^(2/5)*5^(1/2))^(1/2)*arctan(1/(10*(1/a*b)^(2/5)+2*(1/a*b)^(2/5)*5^(1/2))^(1/2)*(1/a*b)^(1/5)*5^(1/2)-1/(10*(1/a*b)^(2/5)+2*(1/a*b)^(2/5)*5^(1/2))^(1/2)*(1/a*b)^(1/5)+4*x/(10*(1/a*b)^(2/5)+2*(1/a*b)^(2/5)*5^(1/2))^(1/2))+4/a^2*b/(1/a*b)^(3/5)/(5^(1/2)-5)/(5+5^(1/2))/(10*(1/a*b)^(2/5)+2*(1/a*b)^(2/5)*5^(1/2))^(1/2)*arctan(1/(10*(1/a*b)^(2/5)+2*(1/a*b)^(2/5)*5^(1/2))^(1/2)*(1/a*b)^(1/5)*5^(1/2)-1/(10*(1/a*b)^(2/5)+2*(1/a*b)^(2/5)*5^(1/2))^(1/2)*(1/a*b)^(1/5)+4*x/(10*(1/a*b)^(2/5)+2*(1/a*b)^(2/5)*5^(1/2))^(1/2))*5^(1/2)+4/a^2*b/(1/a*b)^(4/5)/(5^(1/2)-5)/(5+5^(1/2))*ln(x+(1/a*b)^(1/5))-1/a^2*b/(1/a*b)^(4/5)/(5^(1/2)-5)/(5+5^(1/2))*ln(-(1/a*b)^(1/5)*x*5^(1/2)+2*(1/a*b)^(2/5)-(1/a*b)^(1/5)*x+2*x^2)*5^(1/2)-1/a^2*b/(1/a*b)^(4/5)/(5^(1/2)-5)/(5+5^(1/2))*ln(-(1/a*b)^(1/5)*x*5^(1/2)+2*(1/a*b)^(2/5)-(1/a*b)^(1/5)*x+2*x^2)+20/a^2*b/(1/a*b)^(3/5)/(5^(1/2)-5)/(5+5^(1/2))/(10*(1/a*b)^(2/5)-2*(1/a*b)^(2/5)*5^(1/2))^(1/2)*arctan(-1/(10*(1/a*b)^(2/5)-2*(1/a*b)^(2/5)*5^(1/2))^(1/2)*(1/a*b)^(1/5)*5^(1/2)-1/(10*(1/a*b)^(2/5)-2*(1/a*b)^(2/5)*5^(1/2))^(1/2)*(1/a*b)^(1/5)+4*x/(10*(1/a*b)^(2/5)-2*(1/a*b)^(2/5)*5^(1/2))^(1/2))-4/a^2*b/(1/a*b)^(3/5)/(5^(1/2)-5)/(5+5^(1/2))/(10*(1/a*b)^(2/5)-2*(1/a*b)^(2/5)*5^(1/2))^(1/2)*arctan(-1/(10*(1/a*b)^(2/5)-2*(1/a*b)^(2/5)*5^(1/2))^(1/2)*(1/a*b)^(1/5)*5^(1/2)-1/(10*(1/a*b)^(2/5)-2*(1/a*b)^(2/5)*5^(1/2))^(1/2)*(1/a*b)^(1/5)+4*x/(10*(1/a*b)^(2/5)-2*(1/a*b)^(2/5)*5^(1/2))^(1/2))*5^(1/2)","B"
2107,0,0,19,0.066000," ","int(1/x/(a+b/x^5)^(1/2),x)","\int \frac{1}{\sqrt{a +\frac{b}{x^{5}}}\, x}\, dx"," ",0,"int(1/x/(a+b/x^5)^(1/2),x)","F"
2108,0,0,21,0.062000," ","int(1/x/(-a+b/x^5)^(1/2),x)","\int \frac{1}{\sqrt{-a +\frac{b}{x^{5}}}\, x}\, dx"," ",0,"int(1/x/(-a+b/x^5)^(1/2),x)","F"
2109,1,164,146,0.095000," ","int(1/(a+b/x^6),x)","\frac{x}{a}-\frac{\left(\frac{b}{a}\right)^{\frac{1}{6}} \arctan \left(\frac{x}{\left(\frac{b}{a}\right)^{\frac{1}{6}}}\right)}{3 a}-\frac{\left(\frac{b}{a}\right)^{\frac{1}{6}} \arctan \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{6}}}-\sqrt{3}\right)}{6 a}-\frac{\left(\frac{b}{a}\right)^{\frac{1}{6}} \arctan \left(\frac{2 x}{\left(\frac{b}{a}\right)^{\frac{1}{6}}}+\sqrt{3}\right)}{6 a}+\frac{\sqrt{3}\, \left(\frac{b}{a}\right)^{\frac{1}{6}} \ln \left(x^{2}-\sqrt{3}\, \left(\frac{b}{a}\right)^{\frac{1}{6}} x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{12 a}-\frac{\sqrt{3}\, \left(\frac{b}{a}\right)^{\frac{1}{6}} \ln \left(x^{2}+\sqrt{3}\, \left(\frac{b}{a}\right)^{\frac{1}{6}} x +\left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{12 a}"," ",0,"1/a*x+1/12/a*3^(1/2)*(1/a*b)^(1/6)*ln(x^2-3^(1/2)*(1/a*b)^(1/6)*x+(1/a*b)^(1/3))-1/6/a*(1/a*b)^(1/6)*arctan(2*x/(1/a*b)^(1/6)-3^(1/2))-1/12/a*3^(1/2)*(1/a*b)^(1/6)*ln(x^2+3^(1/2)*(1/a*b)^(1/6)*x+(1/a*b)^(1/3))-1/6/a*(1/a*b)^(1/6)*arctan(2*x/(1/a*b)^(1/6)+3^(1/2))-1/3/a*(1/a*b)^(1/6)*arctan(x/(1/a*b)^(1/6))","A"
2110,1,34,187,0.019000," ","int(1/(a+b/x^8),x)","\frac{x}{a}-\frac{b \ln \left(-\RootOf \left(a \,\textit{\_Z}^{8}+b \right)+x \right)}{8 a^{2} \RootOf \left(a \,\textit{\_Z}^{8}+b \right)^{7}}"," ",0,"1/a*x-1/8/a^2*b*sum(1/_R^7*ln(-_R+x),_R=RootOf(_Z^8*a+b))","C"
2111,1,14,13,0.003000," ","int(x^4*(a+b*x^(1/2)),x)","\frac{2 b \,x^{\frac{11}{2}}}{11}+\frac{a \,x^{5}}{5}"," ",0,"1/5*a*x^5+2/11*b*x^(11/2)","A"
2112,1,14,13,0.002000," ","int(x^3*(a+b*x^(1/2)),x)","\frac{2 b \,x^{\frac{9}{2}}}{9}+\frac{a \,x^{4}}{4}"," ",0,"1/4*a*x^4+2/9*b*x^(9/2)","A"
2113,1,14,13,0.002000," ","int(x^2*(a+b*x^(1/2)),x)","\frac{2 b \,x^{\frac{7}{2}}}{7}+\frac{a \,x^{3}}{3}"," ",0,"1/3*a*x^3+2/7*b*x^(7/2)","A"
2114,1,14,13,0.003000," ","int(x*(a+b*x^(1/2)),x)","\frac{2 b \,x^{\frac{5}{2}}}{5}+\frac{a \,x^{2}}{2}"," ",0,"1/2*a*x^2+2/5*b*x^(5/2)","A"
2115,1,11,10,0.001000," ","int(a+b*x^(1/2),x)","\frac{2 b \,x^{\frac{3}{2}}}{3}+a x"," ",0,"a*x+2/3*b*x^(3/2)","A"
2116,1,12,11,0.001000," ","int((a+b*x^(1/2))/x,x)","a \ln \left(x \right)+2 b \sqrt{x}"," ",0,"a*ln(x)+2*b*x^(1/2)","A"
2117,1,14,13,0.000000," ","int((a+b*x^(1/2))/x^2,x)","-\frac{2 b}{\sqrt{x}}-\frac{a}{x}"," ",0,"-a/x-2*b/x^(1/2)","A"
2118,1,14,13,0.001000," ","int((a+b*x^(1/2))/x^3,x)","-\frac{2 b}{3 x^{\frac{3}{2}}}-\frac{a}{2 x^{2}}"," ",0,"-1/2*a/x^2-2/3*b/x^(3/2)","A"
2119,1,14,13,0.000000," ","int((a+b*x^(1/2))/x^4,x)","-\frac{2 b}{5 x^{\frac{5}{2}}}-\frac{a}{3 x^{3}}"," ",0,"-1/3*a/x^3-2/5*b/x^(5/2)","A"
2120,1,25,24,0.002000," ","int(x^4*(a+b*x^(1/2))^2,x)","\frac{b^{2} x^{6}}{6}+\frac{4 a b \,x^{\frac{11}{2}}}{11}+\frac{a^{2} x^{5}}{5}"," ",0,"1/5*a^2*x^5+4/11*a*b*x^(11/2)+1/6*b^2*x^6","A"
2121,1,25,24,0.002000," ","int(x^3*(a+b*x^(1/2))^2,x)","\frac{b^{2} x^{5}}{5}+\frac{4 a b \,x^{\frac{9}{2}}}{9}+\frac{a^{2} x^{4}}{4}"," ",0,"1/4*a^2*x^4+4/9*a*b*x^(9/2)+1/5*b^2*x^5","A"
2122,1,25,24,0.002000," ","int(x^2*(a+b*x^(1/2))^2,x)","\frac{b^{2} x^{4}}{4}+\frac{4 a b \,x^{\frac{7}{2}}}{7}+\frac{a^{2} x^{3}}{3}"," ",0,"1/3*a^2*x^3+4/7*a*b*x^(7/2)+1/4*b^2*x^4","A"
2123,1,25,24,0.001000," ","int(x*(a+b*x^(1/2))^2,x)","\frac{b^{2} x^{3}}{3}+\frac{4 a b \,x^{\frac{5}{2}}}{5}+\frac{a^{2} x^{2}}{2}"," ",0,"1/2*a^2*x^2+4/5*a*b*x^(5/2)+1/3*b^2*x^3","A"
2124,1,22,21,0.001000," ","int((a+b*x^(1/2))^2,x)","\frac{b^{2} x^{2}}{2}+\frac{4 a b \,x^{\frac{3}{2}}}{3}+a^{2} x"," ",0,"a^2*x+4/3*a*b*x^(3/2)+1/2*b^2*x^2","A"
2125,1,20,19,0.002000," ","int((a+b*x^(1/2))^2/x,x)","a^{2} \ln \left(x \right)+b^{2} x +4 a b \sqrt{x}"," ",0,"b^2*x+a^2*ln(x)+4*a*b*x^(1/2)","A"
2126,1,23,22,0.002000," ","int((a+b*x^(1/2))^2/x^2,x)","b^{2} \ln \left(x \right)-\frac{4 a b}{\sqrt{x}}-\frac{a^{2}}{x}"," ",0,"-a^2/x+b^2*ln(x)-4*a*b/x^(1/2)","A"
2127,1,25,24,0.003000," ","int((a+b*x^(1/2))^2/x^3,x)","-\frac{b^{2}}{x}-\frac{4 a b}{3 x^{\frac{3}{2}}}-\frac{a^{2}}{2 x^{2}}"," ",0,"-1/2*a^2/x^2-4/3*a*b/x^(3/2)-b^2/x","A"
2128,1,25,24,0.000000," ","int((a+b*x^(1/2))^2/x^4,x)","-\frac{b^{2}}{2 x^{2}}-\frac{4 a b}{5 x^{\frac{5}{2}}}-\frac{a^{2}}{3 x^{3}}"," ",0,"-1/3*a^2/x^3-4/5*a*b/x^(5/2)-1/2*b^2/x^2","A"
2129,1,25,24,0.002000," ","int((a+b*x^(1/2))^2/x^5,x)","-\frac{b^{2}}{3 x^{3}}-\frac{4 a b}{7 x^{\frac{7}{2}}}-\frac{a^{2}}{4 x^{4}}"," ",0,"-1/4*a^2/x^4-4/7*a*b/x^(7/2)-1/3*b^2/x^3","A"
2130,1,36,35,0.002000," ","int(x^4*(a+b*x^(1/2))^3,x)","\frac{2 b^{3} x^{\frac{13}{2}}}{13}+\frac{a \,b^{2} x^{6}}{2}+\frac{6 a^{2} b \,x^{\frac{11}{2}}}{11}+\frac{a^{3} x^{5}}{5}"," ",0,"1/5*a^3*x^5+6/11*a^2*b*x^(11/2)+1/2*a*b^2*x^6+2/13*b^3*x^(13/2)","A"
2131,1,36,35,0.001000," ","int(x^3*(a+b*x^(1/2))^3,x)","\frac{2 b^{3} x^{\frac{11}{2}}}{11}+\frac{3 a \,b^{2} x^{5}}{5}+\frac{2 a^{2} b \,x^{\frac{9}{2}}}{3}+\frac{a^{3} x^{4}}{4}"," ",0,"1/4*a^3*x^4+2/3*a^2*b*x^(9/2)+3/5*a*b^2*x^5+2/11*b^3*x^(11/2)","A"
2132,1,36,35,0.002000," ","int(x^2*(a+b*x^(1/2))^3,x)","\frac{2 b^{3} x^{\frac{9}{2}}}{9}+\frac{3 a \,b^{2} x^{4}}{4}+\frac{6 a^{2} b \,x^{\frac{7}{2}}}{7}+\frac{a^{3} x^{3}}{3}"," ",0,"1/3*a^3*x^3+6/7*a^2*b*x^(7/2)+3/4*a*b^2*x^4+2/9*b^3*x^(9/2)","A"
2133,1,35,34,0.002000," ","int(x*(a+b*x^(1/2))^3,x)","\frac{2 b^{3} x^{\frac{7}{2}}}{7}+a \,b^{2} x^{3}+\frac{6 a^{2} b \,x^{\frac{5}{2}}}{5}+\frac{a^{3} x^{2}}{2}"," ",0,"1/2*a^3*x^2+6/5*a^2*b*x^(5/2)+a*b^2*x^3+2/7*b^3*x^(7/2)","A"
2134,1,33,30,0.002000," ","int((a+b*x^(1/2))^3,x)","\frac{2 b^{3} x^{\frac{5}{2}}}{5}+\frac{3 a \,b^{2} x^{2}}{2}+2 a^{2} b \,x^{\frac{3}{2}}+a^{3} x"," ",0,"2/5*x^(5/2)*b^3+3/2*a*b^2*x^2+2*a^2*b*x^(3/2)+a^3*x","A"
2135,1,32,31,0.002000," ","int((a+b*x^(1/2))^3/x,x)","\frac{2 b^{3} x^{\frac{3}{2}}}{3}+a^{3} \ln \left(x \right)+3 a \,b^{2} x +6 a^{2} b \sqrt{x}"," ",0,"3*a*b^2*x+2/3*b^3*x^(3/2)+a^3*ln(x)+6*a^2*b*x^(1/2)","A"
2136,1,35,34,0.002000," ","int((a+b*x^(1/2))^3/x^2,x)","3 a \,b^{2} \ln \left(x \right)+2 b^{3} \sqrt{x}-\frac{6 a^{2} b}{\sqrt{x}}-\frac{a^{3}}{x}"," ",0,"-a^3/x+3*a*b^2*ln(x)-6*a^2*b/x^(1/2)+2*b^3*x^(1/2)","A"
2137,1,36,17,0.001000," ","int((a+b*x^(1/2))^3/x^3,x)","-\frac{2 b^{3}}{\sqrt{x}}-\frac{3 a \,b^{2}}{x}-\frac{2 a^{2} b}{x^{\frac{3}{2}}}-\frac{a^{3}}{2 x^{2}}"," ",0,"-2*b^3/x^(1/2)-3*a*b^2/x-2*a^2*b/x^(3/2)-1/2*a^3/x^2","B"
2138,1,36,35,0.001000," ","int((a+b*x^(1/2))^3/x^4,x)","-\frac{2 b^{3}}{3 x^{\frac{3}{2}}}-\frac{3 a \,b^{2}}{2 x^{2}}-\frac{6 a^{2} b}{5 x^{\frac{5}{2}}}-\frac{a^{3}}{3 x^{3}}"," ",0,"-1/3*a^3/x^3-6/5*a^2*b/x^(5/2)-3/2*a*b^2/x^2-2/3*b^3/x^(3/2)","A"
2139,1,36,35,0.003000," ","int((a+b*x^(1/2))^3/x^5,x)","-\frac{2 b^{3}}{5 x^{\frac{5}{2}}}-\frac{a \,b^{2}}{x^{3}}-\frac{6 a^{2} b}{7 x^{\frac{7}{2}}}-\frac{a^{3}}{4 x^{4}}"," ",0,"-1/4*a^3/x^4-6/7*a^2*b/x^(7/2)-a*b^2/x^3-2/5*b^3/x^(5/2)","A"
2140,1,36,35,0.001000," ","int((a+b*x^(1/2))^3/x^6,x)","-\frac{2 b^{3}}{7 x^{\frac{7}{2}}}-\frac{3 a \,b^{2}}{4 x^{4}}-\frac{2 a^{2} b}{3 x^{\frac{9}{2}}}-\frac{a^{3}}{5 x^{5}}"," ",0,"-1/5*a^3/x^5-2/3*a^2*b/x^(9/2)-3/4*a*b^2/x^4-2/7*b^3/x^(7/2)","A"
2141,1,58,57,0.004000," ","int(x^4*(a+b*x^(1/2))^5,x)","\frac{2 b^{5} x^{\frac{15}{2}}}{15}+\frac{5 a \,b^{4} x^{7}}{7}+\frac{20 a^{2} b^{3} x^{\frac{13}{2}}}{13}+\frac{5 a^{3} b^{2} x^{6}}{3}+\frac{10 a^{4} b \,x^{\frac{11}{2}}}{11}+\frac{a^{5} x^{5}}{5}"," ",0,"1/5*a^5*x^5+10/11*a^4*b*x^(11/2)+5/3*a^3*b^2*x^6+20/13*a^2*b^3*x^(13/2)+5/7*a*b^4*x^7+2/15*b^5*x^(15/2)","A"
2142,1,58,57,0.003000," ","int(x^3*(a+b*x^(1/2))^5,x)","\frac{2 b^{5} x^{\frac{13}{2}}}{13}+\frac{5 a \,b^{4} x^{6}}{6}+\frac{20 a^{2} b^{3} x^{\frac{11}{2}}}{11}+2 a^{3} b^{2} x^{5}+\frac{10 a^{4} b \,x^{\frac{9}{2}}}{9}+\frac{a^{5} x^{4}}{4}"," ",0,"1/4*a^5*x^4+10/9*a^4*b*x^(9/2)+2*a^3*b^2*x^5+20/11*a^2*b^3*x^(11/2)+5/6*a*b^4*x^6+2/13*b^5*x^(13/2)","A"
2143,1,57,56,0.002000," ","int(x^2*(a+b*x^(1/2))^5,x)","\frac{2 b^{5} x^{\frac{11}{2}}}{11}+a \,b^{4} x^{5}+\frac{20 a^{2} b^{3} x^{\frac{9}{2}}}{9}+\frac{5 a^{3} b^{2} x^{4}}{2}+\frac{10 a^{4} b \,x^{\frac{7}{2}}}{7}+\frac{a^{5} x^{3}}{3}"," ",0,"1/3*a^5*x^3+10/7*a^4*b*x^(7/2)+5/2*a^3*b^2*x^4+20/9*a^2*b^3*x^(9/2)+a*b^4*x^5+2/11*b^5*x^(11/2)","A"
2144,1,58,64,0.001000," ","int(x*(a+b*x^(1/2))^5,x)","\frac{2 b^{5} x^{\frac{9}{2}}}{9}+\frac{5 a \,b^{4} x^{4}}{4}+\frac{20 a^{2} b^{3} x^{\frac{7}{2}}}{7}+\frac{10 a^{3} b^{2} x^{3}}{3}+2 a^{4} b \,x^{\frac{5}{2}}+\frac{a^{5} x^{2}}{2}"," ",0,"2/9*x^(9/2)*b^5+5/4*a*b^4*x^4+20/7*x^(7/2)*a^2*b^3+10/3*a^3*b^2*x^3+2*x^(5/2)*a^4*b+1/2*a^5*x^2","A"
2145,1,55,30,0.001000," ","int((a+b*x^(1/2))^5,x)","\frac{2 b^{5} x^{\frac{7}{2}}}{7}+\frac{5 a \,b^{4} x^{3}}{3}+4 a^{2} b^{3} x^{\frac{5}{2}}+5 a^{3} b^{2} x^{2}+\frac{10 a^{4} b \,x^{\frac{3}{2}}}{3}+a^{5} x"," ",0,"2/7*x^(7/2)*b^5+5/3*a*b^4*x^3+4*x^(5/2)*a^2*b^3+5*a^3*b^2*x^2+10/3*x^(3/2)*a^4*b+a^5*x","A"
2146,1,54,53,0.003000," ","int((a+b*x^(1/2))^5/x,x)","\frac{2 b^{5} x^{\frac{5}{2}}}{5}+\frac{5 a \,b^{4} x^{2}}{2}+\frac{20 a^{2} b^{3} x^{\frac{3}{2}}}{3}+a^{5} \ln \left(x \right)+10 a^{3} b^{2} x +10 a^{4} b \sqrt{x}"," ",0,"10*a^3*b^2*x+20/3*a^2*b^3*x^(3/2)+5/2*a*b^4*x^2+2/5*b^5*x^(5/2)+a^5*ln(x)+10*a^4*b*x^(1/2)","A"
2147,1,55,54,0.002000," ","int((a+b*x^(1/2))^5/x^2,x)","\frac{2 b^{5} x^{\frac{3}{2}}}{3}+10 a^{3} b^{2} \ln \left(x \right)+5 a \,b^{4} x +20 a^{2} b^{3} \sqrt{x}-\frac{10 a^{4} b}{\sqrt{x}}-\frac{a^{5}}{x}"," ",0,"-a^5/x+5*a*b^4*x+2/3*b^5*x^(3/2)+10*a^3*b^2*ln(x)-10*a^4*b/x^(1/2)+20*a^2*b^3*x^(1/2)","A"
2148,1,57,56,0.003000," ","int((a+b*x^(1/2))^5/x^3,x)","5 a \,b^{4} \ln \left(x \right)+2 b^{5} \sqrt{x}-\frac{20 a^{2} b^{3}}{\sqrt{x}}-\frac{10 a^{3} b^{2}}{x}-\frac{10 a^{4} b}{3 x^{\frac{3}{2}}}-\frac{a^{5}}{2 x^{2}}"," ",0,"-1/2*a^5/x^2-10/3*a^4*b/x^(3/2)-10*a^3*b^2/x+5*a*b^4*ln(x)-20*a^2*b^3/x^(1/2)+2*b^5*x^(1/2)","A"
2149,1,58,17,0.001000," ","int((a+b*x^(1/2))^5/x^4,x)","-\frac{2 b^{5}}{\sqrt{x}}-\frac{5 a \,b^{4}}{x}-\frac{20 a^{2} b^{3}}{3 x^{\frac{3}{2}}}-\frac{5 a^{3} b^{2}}{x^{2}}-\frac{2 a^{4} b}{x^{\frac{5}{2}}}-\frac{a^{5}}{3 x^{3}}"," ",0,"-2*b^5/x^(1/2)-5*a*b^4/x-20/3*a^2*b^3/x^(3/2)-5*a^3*b^2/x^2-2*a^4*b/x^(5/2)-1/3*a^5/x^3","B"
2150,1,58,56,0.003000," ","int((a+b*x^(1/2))^5/x^5,x)","-\frac{2 b^{5}}{3 x^{\frac{3}{2}}}-\frac{5 a \,b^{4}}{2 x^{2}}-\frac{4 a^{2} b^{3}}{x^{\frac{5}{2}}}-\frac{10 a^{3} b^{2}}{3 x^{3}}-\frac{10 a^{4} b}{7 x^{\frac{7}{2}}}-\frac{a^{5}}{4 x^{4}}"," ",0,"-2/3*b^5/x^(3/2)-5/2*a*b^4/x^2-4*a^2*b^3/x^(5/2)-10/3*a^3*b^2/x^3-10/7*a^4*b/x^(7/2)-1/4*a^5/x^4","A"
2151,1,58,57,0.003000," ","int((a+b*x^(1/2))^5/x^6,x)","-\frac{2 b^{5}}{5 x^{\frac{5}{2}}}-\frac{5 a \,b^{4}}{3 x^{3}}-\frac{20 a^{2} b^{3}}{7 x^{\frac{7}{2}}}-\frac{5 a^{3} b^{2}}{2 x^{4}}-\frac{10 a^{4} b}{9 x^{\frac{9}{2}}}-\frac{a^{5}}{5 x^{5}}"," ",0,"-1/5*a^5/x^5-10/9*a^4*b/x^(9/2)-5/2*a^3*b^2/x^4-20/7*a^2*b^3/x^(7/2)-5/3*a*b^4/x^3-2/5*b^5/x^(5/2)","A"
2152,1,58,57,0.002000," ","int((a+b*x^(1/2))^5/x^7,x)","-\frac{2 b^{5}}{7 x^{\frac{7}{2}}}-\frac{5 a \,b^{4}}{4 x^{4}}-\frac{20 a^{2} b^{3}}{9 x^{\frac{9}{2}}}-\frac{2 a^{3} b^{2}}{x^{5}}-\frac{10 a^{4} b}{11 x^{\frac{11}{2}}}-\frac{a^{5}}{6 x^{6}}"," ",0,"-1/6*a^5/x^6-10/11*a^4*b/x^(11/2)-2*a^3*b^2/x^5-20/9*a^2*b^3/x^(9/2)-5/4*a*b^4/x^4-2/7*b^5/x^(7/2)","A"
2153,1,113,112,0.003000," ","int(x^4*(a+b*x^(1/2))^10,x)","\frac{b^{10} x^{10}}{10}+\frac{20 a \,b^{9} x^{\frac{19}{2}}}{19}+5 a^{2} b^{8} x^{9}+\frac{240 a^{3} b^{7} x^{\frac{17}{2}}}{17}+\frac{105 a^{4} b^{6} x^{8}}{4}+\frac{168 a^{5} b^{5} x^{\frac{15}{2}}}{5}+30 a^{6} b^{4} x^{7}+\frac{240 a^{7} b^{3} x^{\frac{13}{2}}}{13}+\frac{15 a^{8} b^{2} x^{6}}{2}+\frac{20 a^{9} b \,x^{\frac{11}{2}}}{11}+\frac{a^{10} x^{5}}{5}"," ",0,"1/5*a^10*x^5+20/11*a^9*b*x^(11/2)+15/2*a^8*b^2*x^6+240/13*a^7*b^3*x^(13/2)+30*a^6*b^4*x^7+168/5*a^5*b^5*x^(15/2)+105/4*a^4*b^6*x^8+240/17*a^3*b^7*x^(17/2)+5*a^2*b^8*x^9+20/19*a*b^9*x^(19/2)+1/10*b^10*x^10","A"
2154,1,113,132,0.002000," ","int(x^3*(a+b*x^(1/2))^10,x)","\frac{b^{10} x^{9}}{9}+\frac{20 a \,b^{9} x^{\frac{17}{2}}}{17}+\frac{45 a^{2} b^{8} x^{8}}{8}+16 a^{3} b^{7} x^{\frac{15}{2}}+30 a^{4} b^{6} x^{7}+\frac{504 a^{5} b^{5} x^{\frac{13}{2}}}{13}+35 a^{6} b^{4} x^{6}+\frac{240 a^{7} b^{3} x^{\frac{11}{2}}}{11}+9 a^{8} b^{2} x^{5}+\frac{20 a^{9} b \,x^{\frac{9}{2}}}{9}+\frac{a^{10} x^{4}}{4}"," ",0,"1/9*x^9*b^10+20/17*x^(17/2)*a*b^9+45/8*x^8*a^2*b^8+16*x^(15/2)*a^3*b^7+30*a^4*b^6*x^7+504/13*x^(13/2)*a^5*b^5+35*x^6*a^6*b^4+240/11*x^(11/2)*a^7*b^3+9*x^5*a^8*b^2+20/9*x^(9/2)*a^9*b+1/4*a^10*x^4","A"
2155,1,113,98,0.001000," ","int(x^2*(a+b*x^(1/2))^10,x)","\frac{b^{10} x^{8}}{8}+\frac{4 a \,b^{9} x^{\frac{15}{2}}}{3}+\frac{45 a^{2} b^{8} x^{7}}{7}+\frac{240 a^{3} b^{7} x^{\frac{13}{2}}}{13}+35 a^{4} b^{6} x^{6}+\frac{504 a^{5} b^{5} x^{\frac{11}{2}}}{11}+42 a^{6} b^{4} x^{5}+\frac{80 a^{7} b^{3} x^{\frac{9}{2}}}{3}+\frac{45 a^{8} b^{2} x^{4}}{4}+\frac{20 a^{9} b \,x^{\frac{7}{2}}}{7}+\frac{a^{10} x^{3}}{3}"," ",0,"1/8*x^8*b^10+4/3*x^(15/2)*a*b^9+45/7*x^7*a^2*b^8+240/13*x^(13/2)*a^3*b^7+35*a^4*b^6*x^6+504/11*x^(11/2)*a^5*b^5+42*x^5*a^6*b^4+80/3*x^(9/2)*a^7*b^3+45/4*x^4*a^8*b^2+20/7*x^(7/2)*a^9*b+1/3*x^3*a^10","A"
2156,1,113,64,0.002000," ","int(x*(a+b*x^(1/2))^10,x)","\frac{b^{10} x^{7}}{7}+\frac{20 a \,b^{9} x^{\frac{13}{2}}}{13}+\frac{15 a^{2} b^{8} x^{6}}{2}+\frac{240 a^{3} b^{7} x^{\frac{11}{2}}}{11}+42 a^{4} b^{6} x^{5}+56 a^{5} b^{5} x^{\frac{9}{2}}+\frac{105 a^{6} b^{4} x^{4}}{2}+\frac{240 a^{7} b^{3} x^{\frac{7}{2}}}{7}+15 a^{8} b^{2} x^{3}+4 a^{9} b \,x^{\frac{5}{2}}+\frac{a^{10} x^{2}}{2}"," ",0,"1/7*x^7*b^10+20/13*x^(13/2)*a*b^9+15/2*x^6*a^2*b^8+240/11*x^(11/2)*a^3*b^7+42*x^5*a^4*b^6+56*x^(9/2)*a^5*b^5+105/2*x^4*a^6*b^4+240/7*x^(7/2)*a^7*b^3+15*x^3*a^8*b^2+4*x^(5/2)*a^9*b+1/2*x^2*a^10","A"
2157,1,110,30,0.002000," ","int((a+b*x^(1/2))^10,x)","\frac{b^{10} x^{6}}{6}+\frac{20 a \,b^{9} x^{\frac{11}{2}}}{11}+9 a^{2} b^{8} x^{5}+\frac{80 a^{3} b^{7} x^{\frac{9}{2}}}{3}+\frac{105 a^{4} b^{6} x^{4}}{2}+72 a^{5} b^{5} x^{\frac{7}{2}}+70 a^{6} b^{4} x^{3}+48 a^{7} b^{3} x^{\frac{5}{2}}+\frac{45 a^{8} b^{2} x^{2}}{2}+\frac{20 a^{9} b \,x^{\frac{3}{2}}}{3}+a^{10} x"," ",0,"1/6*x^6*b^10+20/11*x^(11/2)*a*b^9+9*x^5*a^2*b^8+80/3*x^(9/2)*a^3*b^7+105/2*x^4*a^4*b^6+72*x^(7/2)*a^5*b^5+70*x^3*a^6*b^4+48*x^(5/2)*a^7*b^3+45/2*x^2*a^8*b^2+20/3*x^(3/2)*a^9*b+x*a^10","B"
2158,1,109,108,0.004000," ","int((a+b*x^(1/2))^10/x,x)","\frac{b^{10} x^{5}}{5}+\frac{20 a \,b^{9} x^{\frac{9}{2}}}{9}+\frac{45 a^{2} b^{8} x^{4}}{4}+\frac{240 a^{3} b^{7} x^{\frac{7}{2}}}{7}+70 a^{4} b^{6} x^{3}+\frac{504 a^{5} b^{5} x^{\frac{5}{2}}}{5}+105 a^{6} b^{4} x^{2}+80 a^{7} b^{3} x^{\frac{3}{2}}+a^{10} \ln \left(x \right)+45 a^{8} b^{2} x +20 a^{9} b \sqrt{x}"," ",0,"45*a^8*b^2*x+80*a^7*b^3*x^(3/2)+105*a^6*b^4*x^2+504/5*a^5*b^5*x^(5/2)+70*a^4*b^6*x^3+240/7*a^3*b^7*x^(7/2)+45/4*a^2*b^8*x^4+20/9*a*b^9*x^(9/2)+1/5*b^10*x^5+a^10*ln(x)+20*a^9*b*x^(1/2)","A"
2159,1,110,109,0.003000," ","int((a+b*x^(1/2))^10/x^2,x)","\frac{b^{10} x^{4}}{4}+\frac{20 a \,b^{9} x^{\frac{7}{2}}}{7}+15 a^{2} b^{8} x^{3}+48 a^{3} b^{7} x^{\frac{5}{2}}+105 a^{4} b^{6} x^{2}+168 a^{5} b^{5} x^{\frac{3}{2}}+45 a^{8} b^{2} \ln \left(x \right)+210 a^{6} b^{4} x +240 a^{7} b^{3} \sqrt{x}-\frac{20 a^{9} b}{\sqrt{x}}-\frac{a^{10}}{x}"," ",0,"-a^10/x+210*a^6*b^4*x+168*a^5*b^5*x^(3/2)+105*a^4*b^6*x^2+48*a^3*b^7*x^(5/2)+15*a^2*b^8*x^3+20/7*a*b^9*x^(7/2)+1/4*b^10*x^4+45*a^8*b^2*ln(x)-20*a^9*b/x^(1/2)+240*a^7*b^3*x^(1/2)","A"
2160,1,110,109,0.004000," ","int((a+b*x^(1/2))^10/x^3,x)","\frac{b^{10} x^{3}}{3}+4 a \,b^{9} x^{\frac{5}{2}}+\frac{45 a^{2} b^{8} x^{2}}{2}+80 a^{3} b^{7} x^{\frac{3}{2}}+210 a^{6} b^{4} \ln \left(x \right)+210 a^{4} b^{6} x +504 a^{5} b^{5} \sqrt{x}-\frac{240 a^{7} b^{3}}{\sqrt{x}}-\frac{45 a^{8} b^{2}}{x}-\frac{20 a^{9} b}{3 x^{\frac{3}{2}}}-\frac{a^{10}}{2 x^{2}}"," ",0,"-1/2*a^10/x^2-20/3*a^9*b/x^(3/2)-45*a^8*b^2/x+210*a^4*b^6*x+80*a^3*b^7*x^(3/2)+45/2*a^2*b^8*x^2+4*a*b^9*x^(5/2)+1/3*b^10*x^3+210*a^6*b^4*ln(x)-240*a^7*b^3/x^(1/2)+504*a^5*b^5*x^(1/2)","A"
2161,1,110,109,0.005000," ","int((a+b*x^(1/2))^10/x^4,x)","\frac{b^{10} x^{2}}{2}+\frac{20 a \,b^{9} x^{\frac{3}{2}}}{3}+210 a^{4} b^{6} \ln \left(x \right)+45 a^{2} b^{8} x +240 a^{3} b^{7} \sqrt{x}-\frac{504 a^{5} b^{5}}{\sqrt{x}}-\frac{210 a^{6} b^{4}}{x}-\frac{80 a^{7} b^{3}}{x^{\frac{3}{2}}}-\frac{45 a^{8} b^{2}}{2 x^{2}}-\frac{4 a^{9} b}{x^{\frac{5}{2}}}-\frac{a^{10}}{3 x^{3}}"," ",0,"-1/3*a^10/x^3-4*a^9*b/x^(5/2)-45/2*a^8*b^2/x^2-80*a^7*b^3/x^(3/2)-210*a^6*b^4/x+45*a^2*b^8*x+20/3*a*b^9*x^(3/2)+1/2*b^10*x^2+210*a^4*b^6*ln(x)-504*a^5*b^5/x^(1/2)+240*a^3*b^7*x^(1/2)","A"
2162,1,109,108,0.004000," ","int((a+b*x^(1/2))^10/x^5,x)","45 a^{2} b^{8} \ln \left(x \right)+b^{10} x +20 a \,b^{9} \sqrt{x}-\frac{240 a^{3} b^{7}}{\sqrt{x}}-\frac{210 a^{4} b^{6}}{x}-\frac{168 a^{5} b^{5}}{x^{\frac{3}{2}}}-\frac{105 a^{6} b^{4}}{x^{2}}-\frac{48 a^{7} b^{3}}{x^{\frac{5}{2}}}-\frac{15 a^{8} b^{2}}{x^{3}}-\frac{20 a^{9} b}{7 x^{\frac{7}{2}}}-\frac{a^{10}}{4 x^{4}}"," ",0,"-1/4*a^10/x^4-20/7*a^9*b/x^(7/2)-15*a^8*b^2/x^3-48*a^7*b^3/x^(5/2)-105*a^6*b^4/x^2-168*a^5*b^5/x^(3/2)-210*a^4*b^6/x+b^10*x+45*a^2*b^8*ln(x)-240*a^3*b^7/x^(1/2)+20*a*b^9*x^(1/2)","A"
2163,1,111,110,0.002000," ","int((a+b*x^(1/2))^10/x^6,x)","b^{10} \ln \left(x \right)-\frac{20 a \,b^{9}}{\sqrt{x}}-\frac{45 a^{2} b^{8}}{x}-\frac{80 a^{3} b^{7}}{x^{\frac{3}{2}}}-\frac{105 a^{4} b^{6}}{x^{2}}-\frac{504 a^{5} b^{5}}{5 x^{\frac{5}{2}}}-\frac{70 a^{6} b^{4}}{x^{3}}-\frac{240 a^{7} b^{3}}{7 x^{\frac{7}{2}}}-\frac{45 a^{8} b^{2}}{4 x^{4}}-\frac{20 a^{9} b}{9 x^{\frac{9}{2}}}-\frac{a^{10}}{5 x^{5}}"," ",0,"-1/5*a^10/x^5-20/9*a^9*b/x^(9/2)-45/4*a^8*b^2/x^4-240/7*a^7*b^3/x^(7/2)-70*a^6*b^4/x^3-504/5*a^5*b^5/x^(5/2)-105*a^4*b^6/x^2-80*a^3*b^7/x^(3/2)-45*a^2*b^8/x+b^10*ln(x)-20*a*b^9/x^(1/2)","A"
2164,1,113,36,0.003000," ","int((a+b*x^(1/2))^10/x^7,x)","-\frac{b^{10}}{x}-\frac{20 a \,b^{9}}{3 x^{\frac{3}{2}}}-\frac{45 a^{2} b^{8}}{2 x^{2}}-\frac{48 a^{3} b^{7}}{x^{\frac{5}{2}}}-\frac{70 a^{4} b^{6}}{x^{3}}-\frac{72 a^{5} b^{5}}{x^{\frac{7}{2}}}-\frac{105 a^{6} b^{4}}{2 x^{4}}-\frac{80 a^{7} b^{3}}{3 x^{\frac{9}{2}}}-\frac{9 a^{8} b^{2}}{x^{5}}-\frac{20 a^{9} b}{11 x^{\frac{11}{2}}}-\frac{a^{10}}{6 x^{6}}"," ",0,"-b^10/x-20/3*a*b^9/x^(3/2)-45/2*a^2*b^8/x^2-48*a^3*b^7/x^(5/2)-70*a^4*b^6/x^3-72*a^5*b^5/x^(7/2)-105/2*a^6*b^4/x^4-80/3*a^7*b^3/x^(9/2)-9*a^8*b^2/x^5-20/11*a^9*b/x^(11/2)-1/6*a^10/x^6","B"
2165,1,113,76,0.002000," ","int((a+b*x^(1/2))^10/x^8,x)","-\frac{b^{10}}{2 x^{2}}-\frac{4 a \,b^{9}}{x^{\frac{5}{2}}}-\frac{15 a^{2} b^{8}}{x^{3}}-\frac{240 a^{3} b^{7}}{7 x^{\frac{7}{2}}}-\frac{105 a^{4} b^{6}}{2 x^{4}}-\frac{56 a^{5} b^{5}}{x^{\frac{9}{2}}}-\frac{42 a^{6} b^{4}}{x^{5}}-\frac{240 a^{7} b^{3}}{11 x^{\frac{11}{2}}}-\frac{15 a^{8} b^{2}}{2 x^{6}}-\frac{20 a^{9} b}{13 x^{\frac{13}{2}}}-\frac{a^{10}}{7 x^{7}}"," ",0,"-1/2*b^10/x^2-4*a*b^9/x^(5/2)-15*a^2*b^8/x^3-240/7*a^3*b^7/x^(7/2)-105/2*a^4*b^6/x^4-56*a^5*b^5/x^(9/2)-42*a^6*b^4/x^5-240/11*a^7*b^3/x^(11/2)-15/2*a^8*b^2/x^6-20/13*a^9*b/x^(13/2)-1/7*a^10/x^7","A"
2166,1,113,116,0.003000," ","int((a+b*x^(1/2))^10/x^9,x)","-\frac{b^{10}}{3 x^{3}}-\frac{20 a \,b^{9}}{7 x^{\frac{7}{2}}}-\frac{45 a^{2} b^{8}}{4 x^{4}}-\frac{80 a^{3} b^{7}}{3 x^{\frac{9}{2}}}-\frac{42 a^{4} b^{6}}{x^{5}}-\frac{504 a^{5} b^{5}}{11 x^{\frac{11}{2}}}-\frac{35 a^{6} b^{4}}{x^{6}}-\frac{240 a^{7} b^{3}}{13 x^{\frac{13}{2}}}-\frac{45 a^{8} b^{2}}{7 x^{7}}-\frac{4 a^{9} b}{3 x^{\frac{15}{2}}}-\frac{a^{10}}{8 x^{8}}"," ",0,"-1/3*b^10/x^3-20/7*a*b^9/x^(7/2)-45/4*a^2*b^8/x^4-80/3*a^3*b^7/x^(9/2)-42*a^4*b^6/x^5-504/11*a^5*b^5/x^(11/2)-35*a^6*b^4/x^6-240/13*a^7*b^3/x^(13/2)-45/7*a^8*b^2/x^7-4/3*a^9*b/x^(15/2)-1/8*a^10/x^8","A"
2167,1,113,112,0.004000," ","int((a+b*x^(1/2))^10/x^10,x)","-\frac{b^{10}}{4 x^{4}}-\frac{20 a \,b^{9}}{9 x^{\frac{9}{2}}}-\frac{9 a^{2} b^{8}}{x^{5}}-\frac{240 a^{3} b^{7}}{11 x^{\frac{11}{2}}}-\frac{35 a^{4} b^{6}}{x^{6}}-\frac{504 a^{5} b^{5}}{13 x^{\frac{13}{2}}}-\frac{30 a^{6} b^{4}}{x^{7}}-\frac{16 a^{7} b^{3}}{x^{\frac{15}{2}}}-\frac{45 a^{8} b^{2}}{8 x^{8}}-\frac{20 a^{9} b}{17 x^{\frac{17}{2}}}-\frac{a^{10}}{9 x^{9}}"," ",0,"-1/9*a^10/x^9-20/17*a^9*b/x^(17/2)-45/8*a^8*b^2/x^8-16*a^7*b^3/x^(15/2)-30*a^6*b^4/x^7-504/13*a^5*b^5/x^(13/2)-35*a^4*b^6/x^6-240/11*a^3*b^7/x^(11/2)-9*a^2*b^8/x^5-20/9*a*b^9/x^(9/2)-1/4*b^10/x^4","A"
2168,1,113,112,0.003000," ","int((a+b*x^(1/2))^10/x^11,x)","-\frac{b^{10}}{5 x^{5}}-\frac{20 a \,b^{9}}{11 x^{\frac{11}{2}}}-\frac{15 a^{2} b^{8}}{2 x^{6}}-\frac{240 a^{3} b^{7}}{13 x^{\frac{13}{2}}}-\frac{30 a^{4} b^{6}}{x^{7}}-\frac{168 a^{5} b^{5}}{5 x^{\frac{15}{2}}}-\frac{105 a^{6} b^{4}}{4 x^{8}}-\frac{240 a^{7} b^{3}}{17 x^{\frac{17}{2}}}-\frac{5 a^{8} b^{2}}{x^{9}}-\frac{20 a^{9} b}{19 x^{\frac{19}{2}}}-\frac{a^{10}}{10 x^{10}}"," ",0,"-1/10*a^10/x^10-20/19*a^9*b/x^(19/2)-5*a^8*b^2/x^9-240/17*a^7*b^3/x^(17/2)-105/4*a^6*b^4/x^8-168/5*a^5*b^5/x^(15/2)-30*a^4*b^6/x^7-240/13*a^3*b^7/x^(13/2)-15/2*a^2*b^8/x^6-20/11*a*b^9/x^(11/2)-1/5*b^10/x^5","A"
2169,1,168,200,0.003000," ","int(x^5*(a+b*x^(1/2))^15,x)","\frac{2 b^{15} x^{\frac{27}{2}}}{27}+\frac{15 a \,b^{14} x^{13}}{13}+\frac{42 a^{2} b^{13} x^{\frac{25}{2}}}{5}+\frac{455 a^{3} b^{12} x^{12}}{12}+\frac{2730 a^{4} b^{11} x^{\frac{23}{2}}}{23}+273 a^{5} b^{10} x^{11}+\frac{1430 a^{6} b^{9} x^{\frac{21}{2}}}{3}+\frac{1287 a^{7} b^{8} x^{10}}{2}+\frac{12870 a^{8} b^{7} x^{\frac{19}{2}}}{19}+\frac{5005 a^{9} b^{6} x^{9}}{9}+\frac{6006 a^{10} b^{5} x^{\frac{17}{2}}}{17}+\frac{1365 a^{11} b^{4} x^{8}}{8}+\frac{182 a^{12} b^{3} x^{\frac{15}{2}}}{3}+15 a^{13} b^{2} x^{7}+\frac{30 a^{14} b \,x^{\frac{13}{2}}}{13}+\frac{a^{15} x^{6}}{6}"," ",0,"2/27*b^15*x^(27/2)+15/13*x^13*a*b^14+42/5*a^2*b^13*x^(25/2)+455/12*x^12*a^3*b^12+2730/23*a^4*b^11*x^(23/2)+273*x^11*a^5*b^10+1430/3*a^6*b^9*x^(21/2)+1287/2*x^10*a^7*b^8+12870/19*a^8*b^7*x^(19/2)+5005/9*x^9*a^9*b^6+6006/17*a^10*b^5*x^(17/2)+1365/8*x^8*a^11*b^4+182/3*a^12*b^3*x^(15/2)+15*x^7*a^13*b^2+30/13*a^14*b*x^(13/2)+1/6*a^15*x^6","A"
2170,1,168,166,0.003000," ","int(x^4*(a+b*x^(1/2))^15,x)","\frac{2 b^{15} x^{\frac{25}{2}}}{25}+\frac{5 a \,b^{14} x^{12}}{4}+\frac{210 a^{2} b^{13} x^{\frac{23}{2}}}{23}+\frac{455 a^{3} b^{12} x^{11}}{11}+130 a^{4} b^{11} x^{\frac{21}{2}}+\frac{3003 a^{5} b^{10} x^{10}}{10}+\frac{10010 a^{6} b^{9} x^{\frac{19}{2}}}{19}+715 a^{7} b^{8} x^{9}+\frac{12870 a^{8} b^{7} x^{\frac{17}{2}}}{17}+\frac{5005 a^{9} b^{6} x^{8}}{8}+\frac{2002 a^{10} b^{5} x^{\frac{15}{2}}}{5}+195 a^{11} b^{4} x^{7}+70 a^{12} b^{3} x^{\frac{13}{2}}+\frac{35 a^{13} b^{2} x^{6}}{2}+\frac{30 a^{14} b \,x^{\frac{11}{2}}}{11}+\frac{a^{15} x^{5}}{5}"," ",0,"2/25*x^(25/2)*b^15+5/4*x^12*a*b^14+210/23*x^(23/2)*a^2*b^13+455/11*x^11*a^3*b^12+130*x^(21/2)*a^4*b^11+3003/10*x^10*a^5*b^10+10010/19*x^(19/2)*a^6*b^9+715*x^9*a^7*b^8+12870/17*x^(17/2)*a^8*b^7+5005/8*a^9*b^6*x^8+2002/5*x^(15/2)*a^10*b^5+195*x^7*a^11*b^4+70*x^(13/2)*a^12*b^3+35/2*x^6*a^13*b^2+30/11*x^(11/2)*a^14*b+1/5*a^15*x^5","A"
2171,1,168,132,0.004000," ","int(x^3*(a+b*x^(1/2))^15,x)","\frac{2 b^{15} x^{\frac{23}{2}}}{23}+\frac{15 a \,b^{14} x^{11}}{11}+10 a^{2} b^{13} x^{\frac{21}{2}}+\frac{91 a^{3} b^{12} x^{10}}{2}+\frac{2730 a^{4} b^{11} x^{\frac{19}{2}}}{19}+\frac{1001 a^{5} b^{10} x^{9}}{3}+\frac{10010 a^{6} b^{9} x^{\frac{17}{2}}}{17}+\frac{6435 a^{7} b^{8} x^{8}}{8}+858 a^{8} b^{7} x^{\frac{15}{2}}+715 a^{9} b^{6} x^{7}+462 a^{10} b^{5} x^{\frac{13}{2}}+\frac{455 a^{11} b^{4} x^{6}}{2}+\frac{910 a^{12} b^{3} x^{\frac{11}{2}}}{11}+21 a^{13} b^{2} x^{5}+\frac{10 a^{14} b \,x^{\frac{9}{2}}}{3}+\frac{a^{15} x^{4}}{4}"," ",0,"2/23*x^(23/2)*b^15+15/11*x^11*a*b^14+10*x^(21/2)*a^2*b^13+91/2*a^3*b^12*x^10+2730/19*x^(19/2)*a^4*b^11+1001/3*x^9*a^5*b^10+10010/17*x^(17/2)*a^6*b^9+6435/8*x^8*a^7*b^8+858*x^(15/2)*a^8*b^7+715*a^9*b^6*x^7+462*x^(13/2)*a^10*b^5+455/2*x^6*a^11*b^4+910/11*x^(11/2)*a^12*b^3+21*x^5*a^13*b^2+10/3*x^(9/2)*a^14*b+1/4*x^4*a^15","A"
2172,1,168,98,0.003000," ","int(x^2*(a+b*x^(1/2))^15,x)","\frac{2 b^{15} x^{\frac{21}{2}}}{21}+\frac{3 a \,b^{14} x^{10}}{2}+\frac{210 a^{2} b^{13} x^{\frac{19}{2}}}{19}+\frac{455 a^{3} b^{12} x^{9}}{9}+\frac{2730 a^{4} b^{11} x^{\frac{17}{2}}}{17}+\frac{3003 a^{5} b^{10} x^{8}}{8}+\frac{2002 a^{6} b^{9} x^{\frac{15}{2}}}{3}+\frac{6435 a^{7} b^{8} x^{7}}{7}+990 a^{8} b^{7} x^{\frac{13}{2}}+\frac{5005 a^{9} b^{6} x^{6}}{6}+546 a^{10} b^{5} x^{\frac{11}{2}}+273 a^{11} b^{4} x^{5}+\frac{910 a^{12} b^{3} x^{\frac{9}{2}}}{9}+\frac{105 a^{13} b^{2} x^{4}}{4}+\frac{30 a^{14} b \,x^{\frac{7}{2}}}{7}+\frac{a^{15} x^{3}}{3}"," ",0,"2/21*x^(21/2)*b^15+3/2*x^10*a*b^14+210/19*x^(19/2)*a^2*b^13+455/9*a^3*b^12*x^9+2730/17*x^(17/2)*a^4*b^11+3003/8*x^8*a^5*b^10+2002/3*x^(15/2)*a^6*b^9+6435/7*x^7*a^7*b^8+990*x^(13/2)*a^8*b^7+5005/6*x^6*a^9*b^6+546*x^(11/2)*a^10*b^5+273*x^5*a^11*b^4+910/9*x^(9/2)*a^12*b^3+105/4*x^4*a^13*b^2+30/7*x^(7/2)*a^14*b+1/3*x^3*a^15","A"
2173,1,168,64,0.004000," ","int(x*(a+b*x^(1/2))^15,x)","\frac{2 b^{15} x^{\frac{19}{2}}}{19}+\frac{5 a \,b^{14} x^{9}}{3}+\frac{210 a^{2} b^{13} x^{\frac{17}{2}}}{17}+\frac{455 a^{3} b^{12} x^{8}}{8}+182 a^{4} b^{11} x^{\frac{15}{2}}+429 a^{5} b^{10} x^{7}+770 a^{6} b^{9} x^{\frac{13}{2}}+\frac{2145 a^{7} b^{8} x^{6}}{2}+1170 a^{8} b^{7} x^{\frac{11}{2}}+1001 a^{9} b^{6} x^{5}+\frac{2002 a^{10} b^{5} x^{\frac{9}{2}}}{3}+\frac{1365 a^{11} b^{4} x^{4}}{4}+130 a^{12} b^{3} x^{\frac{7}{2}}+35 a^{13} b^{2} x^{3}+6 a^{14} b \,x^{\frac{5}{2}}+\frac{a^{15} x^{2}}{2}"," ",0,"2/19*x^(19/2)*b^15+5/3*x^9*a*b^14+210/17*x^(17/2)*a^2*b^13+455/8*x^8*a^3*b^12+182*x^(15/2)*a^4*b^11+429*x^7*a^5*b^10+770*x^(13/2)*a^6*b^9+2145/2*x^6*a^7*b^8+1170*x^(11/2)*a^8*b^7+1001*x^5*a^9*b^6+2002/3*x^(9/2)*a^10*b^5+1365/4*x^4*a^11*b^4+130*x^(7/2)*a^12*b^3+35*x^3*a^13*b^2+6*x^(5/2)*a^14*b+1/2*x^2*a^15","B"
2174,1,165,30,0.002000," ","int((a+b*x^(1/2))^15,x)","\frac{2 b^{15} x^{\frac{17}{2}}}{17}+\frac{15 a \,b^{14} x^{8}}{8}+14 a^{2} b^{13} x^{\frac{15}{2}}+65 a^{3} b^{12} x^{7}+210 a^{4} b^{11} x^{\frac{13}{2}}+\frac{1001 a^{5} b^{10} x^{6}}{2}+910 a^{6} b^{9} x^{\frac{11}{2}}+1287 a^{7} b^{8} x^{5}+1430 a^{8} b^{7} x^{\frac{9}{2}}+\frac{5005 a^{9} b^{6} x^{4}}{4}+858 a^{10} b^{5} x^{\frac{7}{2}}+455 a^{11} b^{4} x^{3}+182 a^{12} b^{3} x^{\frac{5}{2}}+\frac{105 a^{13} b^{2} x^{2}}{2}+10 a^{14} b \,x^{\frac{3}{2}}+a^{15} x"," ",0,"2/17*x^(17/2)*b^15+15/8*x^8*a*b^14+14*x^(15/2)*a^2*b^13+65*x^7*a^3*b^12+210*x^(13/2)*a^4*b^11+1001/2*x^6*a^5*b^10+910*x^(11/2)*a^6*b^9+1287*x^5*a^7*b^8+1430*x^(9/2)*a^8*b^7+5005/4*x^4*a^9*b^6+858*x^(7/2)*a^10*b^5+455*x^3*a^11*b^4+182*x^(5/2)*a^12*b^3+105/2*x^2*a^13*b^2+10*x^(3/2)*a^14*b+x*a^15","B"
2175,1,164,163,0.003000," ","int((a+b*x^(1/2))^15/x,x)","\frac{2 b^{15} x^{\frac{15}{2}}}{15}+\frac{15 a \,b^{14} x^{7}}{7}+\frac{210 a^{2} b^{13} x^{\frac{13}{2}}}{13}+\frac{455 a^{3} b^{12} x^{6}}{6}+\frac{2730 a^{4} b^{11} x^{\frac{11}{2}}}{11}+\frac{3003 a^{5} b^{10} x^{5}}{5}+\frac{10010 a^{6} b^{9} x^{\frac{9}{2}}}{9}+\frac{6435 a^{7} b^{8} x^{4}}{4}+\frac{12870 a^{8} b^{7} x^{\frac{7}{2}}}{7}+\frac{5005 a^{9} b^{6} x^{3}}{3}+\frac{6006 a^{10} b^{5} x^{\frac{5}{2}}}{5}+\frac{1365 a^{11} b^{4} x^{2}}{2}+\frac{910 a^{12} b^{3} x^{\frac{3}{2}}}{3}+a^{15} \ln \left(x \right)+105 a^{13} b^{2} x +30 a^{14} b \sqrt{x}"," ",0,"105*a^13*b^2*x+910/3*a^12*b^3*x^(3/2)+1365/2*a^11*b^4*x^2+6006/5*a^10*b^5*x^(5/2)+5005/3*a^9*b^6*x^3+12870/7*a^8*b^7*x^(7/2)+6435/4*a^7*b^8*x^4+10010/9*a^6*b^9*x^(9/2)+3003/5*a^5*b^10*x^5+2730/11*a^4*b^11*x^(11/2)+455/6*a^3*b^12*x^6+210/13*a^2*b^13*x^(13/2)+15/7*a*b^14*x^7+2/15*b^15*x^(15/2)+a^15*ln(x)+30*a^14*b*x^(1/2)","A"
2176,1,165,164,0.003000," ","int((a+b*x^(1/2))^15/x^2,x)","\frac{2 b^{15} x^{\frac{13}{2}}}{13}+\frac{5 a \,b^{14} x^{6}}{2}+\frac{210 a^{2} b^{13} x^{\frac{11}{2}}}{11}+91 a^{3} b^{12} x^{5}+\frac{910 a^{4} b^{11} x^{\frac{9}{2}}}{3}+\frac{3003 a^{5} b^{10} x^{4}}{4}+1430 a^{6} b^{9} x^{\frac{7}{2}}+2145 a^{7} b^{8} x^{3}+2574 a^{8} b^{7} x^{\frac{5}{2}}+\frac{5005 a^{9} b^{6} x^{2}}{2}+2002 a^{10} b^{5} x^{\frac{3}{2}}+105 a^{13} b^{2} \ln \left(x \right)+1365 a^{11} b^{4} x +910 a^{12} b^{3} \sqrt{x}-\frac{30 a^{14} b}{\sqrt{x}}-\frac{a^{15}}{x}"," ",0,"-a^15/x+1365*a^11*b^4*x+2002*a^10*b^5*x^(3/2)+5005/2*a^9*b^6*x^2+2574*a^8*b^7*x^(5/2)+2145*a^7*b^8*x^3+1430*a^6*b^9*x^(7/2)+3003/4*a^5*b^10*x^4+910/3*a^4*b^11*x^(9/2)+91*a^3*b^12*x^5+210/11*a^2*b^13*x^(11/2)+5/2*a*b^14*x^6+2/13*b^15*x^(13/2)+105*a^13*b^2*ln(x)-30*a^14*b/x^(1/2)+910*a^12*b^3*x^(1/2)","A"
2177,1,165,164,0.005000," ","int((a+b*x^(1/2))^15/x^3,x)","\frac{2 b^{15} x^{\frac{11}{2}}}{11}+3 a \,b^{14} x^{5}+\frac{70 a^{2} b^{13} x^{\frac{9}{2}}}{3}+\frac{455 a^{3} b^{12} x^{4}}{4}+390 a^{4} b^{11} x^{\frac{7}{2}}+1001 a^{5} b^{10} x^{3}+2002 a^{6} b^{9} x^{\frac{5}{2}}+\frac{6435 a^{7} b^{8} x^{2}}{2}+4290 a^{8} b^{7} x^{\frac{3}{2}}+1365 a^{11} b^{4} \ln \left(x \right)+5005 a^{9} b^{6} x +6006 a^{10} b^{5} \sqrt{x}-\frac{910 a^{12} b^{3}}{\sqrt{x}}-\frac{105 a^{13} b^{2}}{x}-\frac{10 a^{14} b}{x^{\frac{3}{2}}}-\frac{a^{15}}{2 x^{2}}"," ",0,"-1/2*a^15/x^2-10*a^14*b/x^(3/2)-105*a^13*b^2/x+5005*a^9*b^6*x+4290*a^8*b^7*x^(3/2)+6435/2*a^7*b^8*x^2+2002*a^6*b^9*x^(5/2)+1001*a^5*b^10*x^3+390*a^4*b^11*x^(7/2)+455/4*a^3*b^12*x^4+70/3*a^2*b^13*x^(9/2)+3*a*b^14*x^5+2/11*b^15*x^(11/2)+1365*a^11*b^4*ln(x)-910*a^12*b^3/x^(1/2)+6006*a^10*b^5*x^(1/2)","A"
2178,1,165,164,0.004000," ","int((a+b*x^(1/2))^15/x^4,x)","\frac{2 b^{15} x^{\frac{9}{2}}}{9}+\frac{15 a \,b^{14} x^{4}}{4}+30 a^{2} b^{13} x^{\frac{7}{2}}+\frac{455 a^{3} b^{12} x^{3}}{3}+546 a^{4} b^{11} x^{\frac{5}{2}}+\frac{3003 a^{5} b^{10} x^{2}}{2}+\frac{10010 a^{6} b^{9} x^{\frac{3}{2}}}{3}+5005 a^{9} b^{6} \ln \left(x \right)+6435 a^{7} b^{8} x +12870 a^{8} b^{7} \sqrt{x}-\frac{6006 a^{10} b^{5}}{\sqrt{x}}-\frac{1365 a^{11} b^{4}}{x}-\frac{910 a^{12} b^{3}}{3 x^{\frac{3}{2}}}-\frac{105 a^{13} b^{2}}{2 x^{2}}-\frac{6 a^{14} b}{x^{\frac{5}{2}}}-\frac{a^{15}}{3 x^{3}}"," ",0,"-1/3*a^15/x^3-6*a^14*b/x^(5/2)-105/2*a^13*b^2/x^2-910/3*a^12*b^3/x^(3/2)-1365*a^11*b^4/x+6435*a^7*b^8*x+10010/3*a^6*b^9*x^(3/2)+3003/2*a^5*b^10*x^2+546*a^4*b^11*x^(5/2)+455/3*a^3*b^12*x^3+30*a^2*b^13*x^(7/2)+15/4*a*b^14*x^4+2/9*b^15*x^(9/2)+5005*a^9*b^6*ln(x)-6006*a^10*b^5/x^(1/2)+12870*a^8*b^7*x^(1/2)","A"
2179,1,165,164,0.004000," ","int((a+b*x^(1/2))^15/x^6,x)","\frac{2 b^{15} x^{\frac{5}{2}}}{5}+\frac{15 a \,b^{14} x^{2}}{2}+70 a^{2} b^{13} x^{\frac{3}{2}}+3003 a^{5} b^{10} \ln \left(x \right)+455 a^{3} b^{12} x +2730 a^{4} b^{11} \sqrt{x}-\frac{10010 a^{6} b^{9}}{\sqrt{x}}-\frac{6435 a^{7} b^{8}}{x}-\frac{4290 a^{8} b^{7}}{x^{\frac{3}{2}}}-\frac{5005 a^{9} b^{6}}{2 x^{2}}-\frac{6006 a^{10} b^{5}}{5 x^{\frac{5}{2}}}-\frac{455 a^{11} b^{4}}{x^{3}}-\frac{130 a^{12} b^{3}}{x^{\frac{7}{2}}}-\frac{105 a^{13} b^{2}}{4 x^{4}}-\frac{10 a^{14} b}{3 x^{\frac{9}{2}}}-\frac{a^{15}}{5 x^{5}}"," ",0,"-1/5*a^15/x^5-10/3*a^14*b/x^(9/2)-105/4*a^13*b^2/x^4-130*a^12*b^3/x^(7/2)-455*a^11*b^4/x^3-6006/5*a^10*b^5/x^(5/2)-5005/2*a^9*b^6/x^2-4290*a^8*b^7/x^(3/2)-6435*a^7*b^8/x+455*a^3*b^12*x+70*a^2*b^13*x^(3/2)+15/2*a*b^14*x^2+2/5*b^15*x^(5/2)+3003*a^5*b^10*ln(x)-10010*a^6*b^9/x^(1/2)+2730*a^4*b^11*x^(1/2)","A"
2180,1,165,164,0.004000," ","int((a+b*x^(1/2))^15/x^7,x)","\frac{2 b^{15} x^{\frac{3}{2}}}{3}+455 a^{3} b^{12} \ln \left(x \right)+15 a \,b^{14} x +210 a^{2} b^{13} \sqrt{x}-\frac{2730 a^{4} b^{11}}{\sqrt{x}}-\frac{3003 a^{5} b^{10}}{x}-\frac{10010 a^{6} b^{9}}{3 x^{\frac{3}{2}}}-\frac{6435 a^{7} b^{8}}{2 x^{2}}-\frac{2574 a^{8} b^{7}}{x^{\frac{5}{2}}}-\frac{5005 a^{9} b^{6}}{3 x^{3}}-\frac{858 a^{10} b^{5}}{x^{\frac{7}{2}}}-\frac{1365 a^{11} b^{4}}{4 x^{4}}-\frac{910 a^{12} b^{3}}{9 x^{\frac{9}{2}}}-\frac{21 a^{13} b^{2}}{x^{5}}-\frac{30 a^{14} b}{11 x^{\frac{11}{2}}}-\frac{a^{15}}{6 x^{6}}"," ",0,"-1/6*a^15/x^6-30/11*a^14*b/x^(11/2)-21*a^13*b^2/x^5-910/9*a^12*b^3/x^(9/2)-1365/4*a^11*b^4/x^4-858*a^10*b^5/x^(7/2)-5005/3*a^9*b^6/x^3-2574*a^8*b^7/x^(5/2)-6435/2*a^7*b^8/x^2-10010/3*a^6*b^9/x^(3/2)-3003*a^5*b^10/x+15*a*b^14*x+2/3*b^15*x^(3/2)+455*a^3*b^12*ln(x)-2730*a^4*b^11/x^(1/2)+210*a^2*b^13*x^(1/2)","A"
2181,1,167,166,0.005000," ","int((a+b*x^(1/2))^15/x^8,x)","15 a \,b^{14} \ln \left(x \right)+2 b^{15} \sqrt{x}-\frac{210 a^{2} b^{13}}{\sqrt{x}}-\frac{455 a^{3} b^{12}}{x}-\frac{910 a^{4} b^{11}}{x^{\frac{3}{2}}}-\frac{3003 a^{5} b^{10}}{2 x^{2}}-\frac{2002 a^{6} b^{9}}{x^{\frac{5}{2}}}-\frac{2145 a^{7} b^{8}}{x^{3}}-\frac{12870 a^{8} b^{7}}{7 x^{\frac{7}{2}}}-\frac{5005 a^{9} b^{6}}{4 x^{4}}-\frac{2002 a^{10} b^{5}}{3 x^{\frac{9}{2}}}-\frac{273 a^{11} b^{4}}{x^{5}}-\frac{910 a^{12} b^{3}}{11 x^{\frac{11}{2}}}-\frac{35 a^{13} b^{2}}{2 x^{6}}-\frac{30 a^{14} b}{13 x^{\frac{13}{2}}}-\frac{a^{15}}{7 x^{7}}"," ",0,"-1/7*a^15/x^7-30/13*a^14*b/x^(13/2)-35/2*a^13*b^2/x^6-910/11*a^12*b^3/x^(11/2)-273*a^11*b^4/x^5-2002/3*a^10*b^5/x^(9/2)-5005/4*a^9*b^6/x^4-12870/7*a^8*b^7/x^(7/2)-2145*a^7*b^8/x^3-2002*a^6*b^9/x^(5/2)-3003/2*a^5*b^10/x^2-910*a^4*b^11/x^(3/2)-455*a^3*b^12/x+15*a*b^14*ln(x)-210*a^2*b^13/x^(1/2)+2*b^15*x^(1/2)","A"
2182,1,168,17,0.005000," ","int((a+b*x^(1/2))^15/x^9,x)","-\frac{2 b^{15}}{\sqrt{x}}-\frac{15 a \,b^{14}}{x}-\frac{70 a^{2} b^{13}}{x^{\frac{3}{2}}}-\frac{455 a^{3} b^{12}}{2 x^{2}}-\frac{546 a^{4} b^{11}}{x^{\frac{5}{2}}}-\frac{1001 a^{5} b^{10}}{x^{3}}-\frac{1430 a^{6} b^{9}}{x^{\frac{7}{2}}}-\frac{6435 a^{7} b^{8}}{4 x^{4}}-\frac{1430 a^{8} b^{7}}{x^{\frac{9}{2}}}-\frac{1001 a^{9} b^{6}}{x^{5}}-\frac{546 a^{10} b^{5}}{x^{\frac{11}{2}}}-\frac{455 a^{11} b^{4}}{2 x^{6}}-\frac{70 a^{12} b^{3}}{x^{\frac{13}{2}}}-\frac{15 a^{13} b^{2}}{x^{7}}-\frac{2 a^{14} b}{x^{\frac{15}{2}}}-\frac{a^{15}}{8 x^{8}}"," ",0,"-2*b^15/x^(1/2)-15*a*b^14/x-70*a^2*b^13/x^(3/2)-455/2*a^3*b^12/x^2-546*a^4*b^11/x^(5/2)-1001*a^5*b^10/x^3-1430*a^6*b^9/x^(7/2)-6435/4*a^7*b^8/x^4-1430*a^8*b^7/x^(9/2)-1001*a^9*b^6/x^5-546*a^10*b^5/x^(11/2)-455/2*a^11*b^4/x^6-70*a^12*b^3/x^(13/2)-15*a^13*b^2/x^7-2*a^14*b/x^(15/2)-1/8*a^15/x^8","B"
2183,1,168,56,0.003000," ","int((a+b*x^(1/2))^15/x^10,x)","-\frac{2 b^{15}}{3 x^{\frac{3}{2}}}-\frac{15 a \,b^{14}}{2 x^{2}}-\frac{42 a^{2} b^{13}}{x^{\frac{5}{2}}}-\frac{455 a^{3} b^{12}}{3 x^{3}}-\frac{390 a^{4} b^{11}}{x^{\frac{7}{2}}}-\frac{3003 a^{5} b^{10}}{4 x^{4}}-\frac{10010 a^{6} b^{9}}{9 x^{\frac{9}{2}}}-\frac{1287 a^{7} b^{8}}{x^{5}}-\frac{1170 a^{8} b^{7}}{x^{\frac{11}{2}}}-\frac{5005 a^{9} b^{6}}{6 x^{6}}-\frac{462 a^{10} b^{5}}{x^{\frac{13}{2}}}-\frac{195 a^{11} b^{4}}{x^{7}}-\frac{182 a^{12} b^{3}}{3 x^{\frac{15}{2}}}-\frac{105 a^{13} b^{2}}{8 x^{8}}-\frac{30 a^{14} b}{17 x^{\frac{17}{2}}}-\frac{a^{15}}{9 x^{9}}"," ",0,"-2/3*b^15/x^(3/2)-15/2*a*b^14/x^2-42*a^2*b^13/x^(5/2)-455/3*a^3*b^12/x^3-390*a^4*b^11/x^(7/2)-3003/4*a^5*b^10/x^4-10010/9*a^6*b^9/x^(9/2)-1287*a^7*b^8/x^5-1170*a^8*b^7/x^(11/2)-5005/6*a^9*b^6/x^6-462*a^10*b^5/x^(13/2)-195*a^11*b^4/x^7-182/3*a^12*b^3/x^(15/2)-105/8*a^13*b^2/x^8-30/17*a^14*b/x^(17/2)-1/9*a^15/x^9","B"
2184,1,168,96,0.004000," ","int((a+b*x^(1/2))^15/x^11,x)","-\frac{2 b^{15}}{5 x^{\frac{5}{2}}}-\frac{5 a \,b^{14}}{x^{3}}-\frac{30 a^{2} b^{13}}{x^{\frac{7}{2}}}-\frac{455 a^{3} b^{12}}{4 x^{4}}-\frac{910 a^{4} b^{11}}{3 x^{\frac{9}{2}}}-\frac{3003 a^{5} b^{10}}{5 x^{5}}-\frac{910 a^{6} b^{9}}{x^{\frac{11}{2}}}-\frac{2145 a^{7} b^{8}}{2 x^{6}}-\frac{990 a^{8} b^{7}}{x^{\frac{13}{2}}}-\frac{715 a^{9} b^{6}}{x^{7}}-\frac{2002 a^{10} b^{5}}{5 x^{\frac{15}{2}}}-\frac{1365 a^{11} b^{4}}{8 x^{8}}-\frac{910 a^{12} b^{3}}{17 x^{\frac{17}{2}}}-\frac{35 a^{13} b^{2}}{3 x^{9}}-\frac{30 a^{14} b}{19 x^{\frac{19}{2}}}-\frac{a^{15}}{10 x^{10}}"," ",0,"-2/5*b^15/x^(5/2)-5*a*b^14/x^3-30*a^2*b^13/x^(7/2)-455/4*a^3*b^12/x^4-910/3*a^4*b^11/x^(9/2)-3003/5*a^5*b^10/x^5-910*a^6*b^9/x^(11/2)-2145/2*a^7*b^8/x^6-990*a^8*b^7/x^(13/2)-715*a^9*b^6/x^7-2002/5*a^10*b^5/x^(15/2)-1365/8*a^11*b^4/x^8-910/17*a^12*b^3/x^(17/2)-35/3*a^13*b^2/x^9-30/19*a^14*b/x^(19/2)-1/10*a^15/x^10","A"
2185,1,168,136,0.004000," ","int((a+b*x^(1/2))^15/x^12,x)","-\frac{2 b^{15}}{7 x^{\frac{7}{2}}}-\frac{15 a \,b^{14}}{4 x^{4}}-\frac{70 a^{2} b^{13}}{3 x^{\frac{9}{2}}}-\frac{91 a^{3} b^{12}}{x^{5}}-\frac{2730 a^{4} b^{11}}{11 x^{\frac{11}{2}}}-\frac{1001 a^{5} b^{10}}{2 x^{6}}-\frac{770 a^{6} b^{9}}{x^{\frac{13}{2}}}-\frac{6435 a^{7} b^{8}}{7 x^{7}}-\frac{858 a^{8} b^{7}}{x^{\frac{15}{2}}}-\frac{5005 a^{9} b^{6}}{8 x^{8}}-\frac{6006 a^{10} b^{5}}{17 x^{\frac{17}{2}}}-\frac{455 a^{11} b^{4}}{3 x^{9}}-\frac{910 a^{12} b^{3}}{19 x^{\frac{19}{2}}}-\frac{21 a^{13} b^{2}}{2 x^{10}}-\frac{10 a^{14} b}{7 x^{\frac{21}{2}}}-\frac{a^{15}}{11 x^{11}}"," ",0,"-2/7*b^15/x^(7/2)-15/4*a*b^14/x^4-70/3*a^2*b^13/x^(9/2)-91*a^3*b^12/x^5-2730/11*a^4*b^11/x^(11/2)-1001/2*a^5*b^10/x^6-770*a^6*b^9/x^(13/2)-6435/7*a^7*b^8/x^7-858*a^8*b^7/x^(15/2)-5005/8*a^9*b^6/x^8-6006/17*a^10*b^5/x^(17/2)-455/3*a^11*b^4/x^9-910/19*a^12*b^3/x^(19/2)-21/2*a^13*b^2/x^10-10/7*a^14*b/x^(21/2)-1/11*a^15/x^11","A"
2186,1,168,176,0.004000," ","int((a+b*x^(1/2))^15/x^13,x)","-\frac{2 b^{15}}{9 x^{\frac{9}{2}}}-\frac{3 a \,b^{14}}{x^{5}}-\frac{210 a^{2} b^{13}}{11 x^{\frac{11}{2}}}-\frac{455 a^{3} b^{12}}{6 x^{6}}-\frac{210 a^{4} b^{11}}{x^{\frac{13}{2}}}-\frac{429 a^{5} b^{10}}{x^{7}}-\frac{2002 a^{6} b^{9}}{3 x^{\frac{15}{2}}}-\frac{6435 a^{7} b^{8}}{8 x^{8}}-\frac{12870 a^{8} b^{7}}{17 x^{\frac{17}{2}}}-\frac{5005 a^{9} b^{6}}{9 x^{9}}-\frac{6006 a^{10} b^{5}}{19 x^{\frac{19}{2}}}-\frac{273 a^{11} b^{4}}{2 x^{10}}-\frac{130 a^{12} b^{3}}{3 x^{\frac{21}{2}}}-\frac{105 a^{13} b^{2}}{11 x^{11}}-\frac{30 a^{14} b}{23 x^{\frac{23}{2}}}-\frac{a^{15}}{12 x^{12}}"," ",0,"-2/9*b^15/x^(9/2)-3*a*b^14/x^5-210/11*a^2*b^13/x^(11/2)-455/6*a^3*b^12/x^6-210*a^4*b^11/x^(13/2)-429*a^5*b^10/x^7-2002/3*a^6*b^9/x^(15/2)-6435/8*a^7*b^8/x^8-12870/17*a^8*b^7/x^(17/2)-5005/9*a^9*b^6/x^9-6006/19*a^10*b^5/x^(19/2)-273/2*a^11*b^4/x^10-130/3*a^12*b^3/x^(21/2)-105/11*a^13*b^2/x^11-30/23*a^14*b/x^(23/2)-1/12*a^15/x^12","A"
2187,1,168,216,0.004000," ","int((a+b*x^(1/2))^15/x^14,x)","-\frac{2 b^{15}}{11 x^{\frac{11}{2}}}-\frac{5 a \,b^{14}}{2 x^{6}}-\frac{210 a^{2} b^{13}}{13 x^{\frac{13}{2}}}-\frac{65 a^{3} b^{12}}{x^{7}}-\frac{182 a^{4} b^{11}}{x^{\frac{15}{2}}}-\frac{3003 a^{5} b^{10}}{8 x^{8}}-\frac{10010 a^{6} b^{9}}{17 x^{\frac{17}{2}}}-\frac{715 a^{7} b^{8}}{x^{9}}-\frac{12870 a^{8} b^{7}}{19 x^{\frac{19}{2}}}-\frac{1001 a^{9} b^{6}}{2 x^{10}}-\frac{286 a^{10} b^{5}}{x^{\frac{21}{2}}}-\frac{1365 a^{11} b^{4}}{11 x^{11}}-\frac{910 a^{12} b^{3}}{23 x^{\frac{23}{2}}}-\frac{35 a^{13} b^{2}}{4 x^{12}}-\frac{6 a^{14} b}{5 x^{\frac{25}{2}}}-\frac{a^{15}}{13 x^{13}}"," ",0,"-2/11*b^15/x^(11/2)-5/2*a*b^14/x^6-210/13*a^2*b^13/x^(13/2)-65*a^3*b^12/x^7-182*a^4*b^11/x^(15/2)-3003/8*a^5*b^10/x^8-10010/17*a^6*b^9/x^(17/2)-715*a^7*b^8/x^9-12870/19*a^8*b^7/x^(19/2)-1001/2*a^9*b^6/x^10-286*a^10*b^5/x^(21/2)-1365/11*a^11*b^4/x^11-910/23*a^12*b^3/x^(23/2)-35/4*a^13*b^2/x^12-6/5*a^14*b/x^(25/2)-1/13*a^15/x^13","A"
2188,1,168,167,0.004000," ","int((a+b*x^(1/2))^15/x^15,x)","-\frac{2 b^{15}}{13 x^{\frac{13}{2}}}-\frac{15 a \,b^{14}}{7 x^{7}}-\frac{14 a^{2} b^{13}}{x^{\frac{15}{2}}}-\frac{455 a^{3} b^{12}}{8 x^{8}}-\frac{2730 a^{4} b^{11}}{17 x^{\frac{17}{2}}}-\frac{1001 a^{5} b^{10}}{3 x^{9}}-\frac{10010 a^{6} b^{9}}{19 x^{\frac{19}{2}}}-\frac{1287 a^{7} b^{8}}{2 x^{10}}-\frac{4290 a^{8} b^{7}}{7 x^{\frac{21}{2}}}-\frac{455 a^{9} b^{6}}{x^{11}}-\frac{6006 a^{10} b^{5}}{23 x^{\frac{23}{2}}}-\frac{455 a^{11} b^{4}}{4 x^{12}}-\frac{182 a^{12} b^{3}}{5 x^{\frac{25}{2}}}-\frac{105 a^{13} b^{2}}{13 x^{13}}-\frac{10 a^{14} b}{9 x^{\frac{27}{2}}}-\frac{a^{15}}{14 x^{14}}"," ",0,"-1/14*a^15/x^14-10/9*a^14*b/x^(27/2)-105/13*a^13*b^2/x^13-182/5*a^12*b^3/x^(25/2)-455/4*a^11*b^4/x^12-6006/23*a^10*b^5/x^(23/2)-455*a^9*b^6/x^11-4290/7*a^8*b^7/x^(21/2)-1287/2*a^7*b^8/x^10-10010/19*a^6*b^9/x^(19/2)-1001/3*a^5*b^10/x^9-2730/17*a^4*b^11/x^(17/2)-455/8*a^3*b^12/x^8-14*a^2*b^13/x^(15/2)-15/7*a*b^14/x^7-2/13*b^15/x^(13/2)","A"
2189,1,168,167,0.004000," ","int((a+b*x^(1/2))^15/x^16,x)","-\frac{2 b^{15}}{15 x^{\frac{15}{2}}}-\frac{15 a \,b^{14}}{8 x^{8}}-\frac{210 a^{2} b^{13}}{17 x^{\frac{17}{2}}}-\frac{455 a^{3} b^{12}}{9 x^{9}}-\frac{2730 a^{4} b^{11}}{19 x^{\frac{19}{2}}}-\frac{3003 a^{5} b^{10}}{10 x^{10}}-\frac{1430 a^{6} b^{9}}{3 x^{\frac{21}{2}}}-\frac{585 a^{7} b^{8}}{x^{11}}-\frac{12870 a^{8} b^{7}}{23 x^{\frac{23}{2}}}-\frac{5005 a^{9} b^{6}}{12 x^{12}}-\frac{6006 a^{10} b^{5}}{25 x^{\frac{25}{2}}}-\frac{105 a^{11} b^{4}}{x^{13}}-\frac{910 a^{12} b^{3}}{27 x^{\frac{27}{2}}}-\frac{15 a^{13} b^{2}}{2 x^{14}}-\frac{30 a^{14} b}{29 x^{\frac{29}{2}}}-\frac{a^{15}}{15 x^{15}}"," ",0,"-1/15*a^15/x^15-30/29*a^14*b/x^(29/2)-15/2*a^13*b^2/x^14-910/27*a^12*b^3/x^(27/2)-105*a^11*b^4/x^13-6006/25*a^10*b^5/x^(25/2)-5005/12*a^9*b^6/x^12-12870/23*a^8*b^7/x^(23/2)-585*a^7*b^8/x^11-1430/3*a^6*b^9/x^(21/2)-3003/10*a^5*b^10/x^10-2730/19*a^4*b^11/x^(19/2)-455/9*a^3*b^12/x^9-210/17*a^2*b^13/x^(17/2)-15/8*a*b^14/x^8-2/15*b^15/x^(15/2)","A"
2190,1,168,167,0.004000," ","int((a+b*x^(1/2))^15/x^17,x)","-\frac{2 b^{15}}{17 x^{\frac{17}{2}}}-\frac{5 a \,b^{14}}{3 x^{9}}-\frac{210 a^{2} b^{13}}{19 x^{\frac{19}{2}}}-\frac{91 a^{3} b^{12}}{2 x^{10}}-\frac{130 a^{4} b^{11}}{x^{\frac{21}{2}}}-\frac{273 a^{5} b^{10}}{x^{11}}-\frac{10010 a^{6} b^{9}}{23 x^{\frac{23}{2}}}-\frac{2145 a^{7} b^{8}}{4 x^{12}}-\frac{2574 a^{8} b^{7}}{5 x^{\frac{25}{2}}}-\frac{385 a^{9} b^{6}}{x^{13}}-\frac{2002 a^{10} b^{5}}{9 x^{\frac{27}{2}}}-\frac{195 a^{11} b^{4}}{2 x^{14}}-\frac{910 a^{12} b^{3}}{29 x^{\frac{29}{2}}}-\frac{7 a^{13} b^{2}}{x^{15}}-\frac{30 a^{14} b}{31 x^{\frac{31}{2}}}-\frac{a^{15}}{16 x^{16}}"," ",0,"-1/16*a^15/x^16-30/31*a^14*b/x^(31/2)-7*a^13*b^2/x^15-910/29*a^12*b^3/x^(29/2)-195/2*a^11*b^4/x^14-2002/9*a^10*b^5/x^(27/2)-385*a^9*b^6/x^13-2574/5*a^8*b^7/x^(25/2)-2145/4*a^7*b^8/x^12-10010/23*a^6*b^9/x^(23/2)-273*a^5*b^10/x^11-130*a^4*b^11/x^(21/2)-91/2*a^3*b^12/x^10-210/19*a^2*b^13/x^(19/2)-5/3*a*b^14/x^9-2/17*b^15/x^(17/2)","A"
2191,1,88,87,0.003000," ","int(x^3/(a+b*x^(1/2)),x)","\frac{2 x^{\frac{7}{2}}}{7 b}-\frac{a \,x^{3}}{3 b^{2}}+\frac{2 a^{2} x^{\frac{5}{2}}}{5 b^{3}}-\frac{a^{3} x^{2}}{2 b^{4}}+\frac{2 a^{4} x^{\frac{3}{2}}}{3 b^{5}}-\frac{2 a^{7} \ln \left(b \sqrt{x}+a \right)}{b^{8}}-\frac{a^{5} x}{b^{6}}+\frac{2 a^{6} \sqrt{x}}{b^{7}}"," ",0,"-a^5*x/b^6+2/3*a^4*x^(3/2)/b^5-1/2*a^3*x^2/b^4+2/5*a^2*x^(5/2)/b^3-1/3*a/b^2*x^3+2/7*x^(7/2)/b-2*a^7*ln(a+b*x^(1/2))/b^8+2*a^6*x^(1/2)/b^7","A"
2192,1,66,65,0.004000," ","int(x^2/(b*x^(1/2)+a),x)","\frac{2 x^{\frac{5}{2}}}{5 b}-\frac{a \,x^{2}}{2 b^{2}}+\frac{2 a^{2} x^{\frac{3}{2}}}{3 b^{3}}-\frac{2 a^{5} \ln \left(b \sqrt{x}+a \right)}{b^{6}}-\frac{a^{3} x}{b^{4}}+\frac{2 a^{4} \sqrt{x}}{b^{5}}"," ",0,"-a^3*x/b^4+2/3*a^2*x^(3/2)/b^3-1/2*a/b^2*x^2+2/5*x^(5/2)/b-2*a^5*ln(b*x^(1/2)+a)/b^6+2*a^4*x^(1/2)/b^5","A"
2193,1,44,43,0.004000," ","int(x/(b*x^(1/2)+a),x)","\frac{2 x^{\frac{3}{2}}}{3 b}-\frac{2 a^{3} \ln \left(b \sqrt{x}+a \right)}{b^{4}}-\frac{a x}{b^{2}}+\frac{2 a^{2} \sqrt{x}}{b^{3}}"," ",0,"-a/b^2*x+2/3/b*x^(3/2)-2*a^3*ln(b*x^(1/2)+a)/b^4+2*a^2*x^(1/2)/b^3","A"
2194,1,57,23,0.012000," ","int(1/(b*x^(1/2)+a),x)","-\frac{a \ln \left(b \sqrt{x}+a \right)}{b^{2}}+\frac{a \ln \left(b \sqrt{x}-a \right)}{b^{2}}-\frac{a \ln \left(b^{2} x -a^{2}\right)}{b^{2}}+\frac{2 \sqrt{x}}{b}"," ",0,"2*x^(1/2)/b-a*ln(b*x^(1/2)+a)/b^2+a/b^2*ln(b*x^(1/2)-a)-a*ln(b^2*x-a^2)/b^2","B"
2195,1,21,20,0.007000," ","int(1/x/(b*x^(1/2)+a),x)","\frac{\ln \left(x \right)}{a}-\frac{2 \ln \left(b \sqrt{x}+a \right)}{a}"," ",0,"1/a*ln(x)-2*ln(b*x^(1/2)+a)/a","A"
2196,1,44,43,0.008000," ","int(1/x^2/(b*x^(1/2)+a),x)","\frac{b^{2} \ln \left(x \right)}{a^{3}}-\frac{2 b^{2} \ln \left(b \sqrt{x}+a \right)}{a^{3}}+\frac{2 b}{a^{2} \sqrt{x}}-\frac{1}{a x}"," ",0,"-1/a/x+1/a^3*b^2*ln(x)-2*b^2*ln(b*x^(1/2)+a)/a^3+2*b/a^2/x^(1/2)","A"
2197,1,66,65,0.010000," ","int(1/x^3/(b*x^(1/2)+a),x)","\frac{b^{4} \ln \left(x \right)}{a^{5}}-\frac{2 b^{4} \ln \left(b \sqrt{x}+a \right)}{a^{5}}+\frac{2 b^{3}}{a^{4} \sqrt{x}}-\frac{b^{2}}{a^{3} x}+\frac{2 b}{3 a^{2} x^{\frac{3}{2}}}-\frac{1}{2 a \,x^{2}}"," ",0,"-1/2/a/x^2+2/3*b/a^2/x^(3/2)-b^2/a^3/x+b^4*ln(x)/a^5-2*b^4*ln(b*x^(1/2)+a)/a^5+2*b^3/a^4/x^(1/2)","A"
2198,1,88,87,0.010000," ","int(1/x^4/(b*x^(1/2)+a),x)","\frac{b^{6} \ln \left(x \right)}{a^{7}}-\frac{2 b^{6} \ln \left(b \sqrt{x}+a \right)}{a^{7}}+\frac{2 b^{5}}{a^{6} \sqrt{x}}-\frac{b^{4}}{a^{5} x}+\frac{2 b^{3}}{3 a^{4} x^{\frac{3}{2}}}-\frac{b^{2}}{2 a^{3} x^{2}}+\frac{2 b}{5 a^{2} x^{\frac{5}{2}}}-\frac{1}{3 a \,x^{3}}"," ",0,"-1/3/a/x^3+2/5*b/a^2/x^(5/2)-1/2*b^2/x^2/a^3+2/3*b^3/a^4/x^(3/2)-b^4/a^5/x+b^6*ln(x)/a^7-2*b^6*ln(b*x^(1/2)+a)/a^7+2*b^5/a^6/x^(1/2)","A"
2199,1,94,93,0.012000," ","int(x^3/(b*x^(1/2)+a)^2,x)","\frac{x^{3}}{3 b^{2}}-\frac{4 a \,x^{\frac{5}{2}}}{5 b^{3}}+\frac{3 a^{2} x^{2}}{2 b^{4}}-\frac{8 a^{3} x^{\frac{3}{2}}}{3 b^{5}}+\frac{2 a^{7}}{\left(b \sqrt{x}+a \right) b^{8}}+\frac{14 a^{6} \ln \left(b \sqrt{x}+a \right)}{b^{8}}+\frac{5 a^{4} x}{b^{6}}-\frac{12 a^{5} \sqrt{x}}{b^{7}}"," ",0,"5*a^4*x/b^6-8/3*a^3*x^(3/2)/b^5+3/2*a^2*x^2/b^4-4/5*a*x^(5/2)/b^3+1/3/b^2*x^3+14*a^6*ln(b*x^(1/2)+a)/b^8-12*a^5*x^(1/2)/b^7+2*a^7/b^8/(b*x^(1/2)+a)","A"
2200,1,72,71,0.007000," ","int(x^2/(b*x^(1/2)+a)^2,x)","\frac{x^{2}}{2 b^{2}}-\frac{4 a \,x^{\frac{3}{2}}}{3 b^{3}}+\frac{2 a^{5}}{\left(b \sqrt{x}+a \right) b^{6}}+\frac{10 a^{4} \ln \left(b \sqrt{x}+a \right)}{b^{6}}+\frac{3 a^{2} x}{b^{4}}-\frac{8 a^{3} \sqrt{x}}{b^{5}}"," ",0,"3*a^2*x/b^4-4/3*a*x^(3/2)/b^3+1/2*x^2/b^2+10*a^4*ln(b*x^(1/2)+a)/b^6-8*a^3*x^(1/2)/b^5+2*a^5/b^6/(b*x^(1/2)+a)","A"
2201,1,49,48,0.007000," ","int(x/(b*x^(1/2)+a)^2,x)","\frac{2 a^{3}}{\left(b \sqrt{x}+a \right) b^{4}}+\frac{6 a^{2} \ln \left(b \sqrt{x}+a \right)}{b^{4}}+\frac{x}{b^{2}}-\frac{4 a \sqrt{x}}{b^{3}}"," ",0,"x/b^2+6*a^2*ln(b*x^(1/2)+a)/b^4-4*a*x^(1/2)/b^3+2*a^3/b^4/(b*x^(1/2)+a)","A"
2202,1,96,29,0.015000," ","int(1/(b*x^(1/2)+a)^2,x)","-\frac{2 a^{2}}{\left(b^{2} x -a^{2}\right) b^{2}}+\frac{a}{\left(b \sqrt{x}+a \right) b^{2}}+\frac{a}{\left(b \sqrt{x}-a \right) b^{2}}+\frac{\ln \left(b \sqrt{x}+a \right)}{b^{2}}-\frac{\ln \left(b \sqrt{x}-a \right)}{b^{2}}+\frac{\ln \left(b^{2} x -a^{2}\right)}{b^{2}}"," ",0,"-2*a^2/(b^2*x-a^2)/b^2+ln(b^2*x-a^2)/b^2+a/b^2/(b*x^(1/2)+a)+ln(b*x^(1/2)+a)/b^2+a/b^2/(b*x^(1/2)-a)-1/b^2*ln(b*x^(1/2)-a)","B"
2203,1,35,34,0.009000," ","int(1/x/(b*x^(1/2)+a)^2,x)","\frac{2}{\left(b \sqrt{x}+a \right) a}+\frac{\ln \left(x \right)}{a^{2}}-\frac{2 \ln \left(b \sqrt{x}+a \right)}{a^{2}}"," ",0,"1/a^2*ln(x)-2*ln(b*x^(1/2)+a)/a^2+2/a/(b*x^(1/2)+a)","A"
2204,1,62,61,0.010000," ","int(1/x^2/(b*x^(1/2)+a)^2,x)","\frac{2 b^{2}}{\left(b \sqrt{x}+a \right) a^{3}}+\frac{3 b^{2} \ln \left(x \right)}{a^{4}}-\frac{6 b^{2} \ln \left(b \sqrt{x}+a \right)}{a^{4}}+\frac{4 b}{a^{3} \sqrt{x}}-\frac{1}{a^{2} x}"," ",0,"-1/a^2/x+3/a^4*b^2*ln(x)-6*b^2*ln(b*x^(1/2)+a)/a^4+4*b/a^3/x^(1/2)+2*b^2/a^3/(b*x^(1/2)+a)","A"
2205,1,84,83,0.012000," ","int(1/x^3/(b*x^(1/2)+a)^2,x)","\frac{2 b^{4}}{\left(b \sqrt{x}+a \right) a^{5}}+\frac{5 b^{4} \ln \left(x \right)}{a^{6}}-\frac{10 b^{4} \ln \left(b \sqrt{x}+a \right)}{a^{6}}+\frac{8 b^{3}}{a^{5} \sqrt{x}}-\frac{3 b^{2}}{a^{4} x}+\frac{4 b}{3 a^{3} x^{\frac{3}{2}}}-\frac{1}{2 a^{2} x^{2}}"," ",0,"-1/2/a^2/x^2+4/3*b/a^3/x^(3/2)-3*b^2/a^4/x+5*b^4*ln(x)/a^6-10*b^4*ln(b*x^(1/2)+a)/a^6+8*b^3/a^5/x^(1/2)+2*b^4/a^5/(b*x^(1/2)+a)","A"
2206,1,106,105,0.014000," ","int(1/x^4/(b*x^(1/2)+a)^2,x)","\frac{2 b^{6}}{\left(b \sqrt{x}+a \right) a^{7}}+\frac{7 b^{6} \ln \left(x \right)}{a^{8}}-\frac{14 b^{6} \ln \left(b \sqrt{x}+a \right)}{a^{8}}+\frac{12 b^{5}}{a^{7} \sqrt{x}}-\frac{5 b^{4}}{a^{6} x}+\frac{8 b^{3}}{3 a^{5} x^{\frac{3}{2}}}-\frac{3 b^{2}}{2 a^{4} x^{2}}+\frac{4 b}{5 a^{3} x^{\frac{5}{2}}}-\frac{1}{3 a^{2} x^{3}}"," ",0,"-1/3/a^2/x^3+4/5*b/a^3/x^(5/2)-3/2*b^2/a^4/x^2+8/3*b^3/a^5/x^(3/2)-5*b^4/a^6/x+7*b^6*ln(x)/a^8-14*b^6*ln(b*x^(1/2)+a)/a^8+12*b^5/a^7/x^(1/2)+2*b^6/a^7/(b*x^(1/2)+a)","A"
2207,1,99,98,0.010000," ","int(x^3/(b*x^(1/2)+a)^3,x)","\frac{2 x^{\frac{5}{2}}}{5 b^{3}}+\frac{a^{7}}{\left(b \sqrt{x}+a \right)^{2} b^{8}}-\frac{3 a \,x^{2}}{2 b^{4}}+\frac{4 a^{2} x^{\frac{3}{2}}}{b^{5}}-\frac{14 a^{6}}{\left(b \sqrt{x}+a \right) b^{8}}-\frac{42 a^{5} \ln \left(b \sqrt{x}+a \right)}{b^{8}}-\frac{10 a^{3} x}{b^{6}}+\frac{30 a^{4} \sqrt{x}}{b^{7}}"," ",0,"-10*a^3*x/b^6+4*a^2*x^(3/2)/b^5-3/2*a*x^2/b^4+2/5*x^(5/2)/b^3-42*a^5*ln(b*x^(1/2)+a)/b^8+30*a^4*x^(1/2)/b^7+a^7/b^8/(b*x^(1/2)+a)^2-14*a^6/b^8/(b*x^(1/2)+a)","A"
2208,1,77,76,0.009000," ","int(x^2/(b*x^(1/2)+a)^3,x)","\frac{a^{5}}{\left(b \sqrt{x}+a \right)^{2} b^{6}}+\frac{2 x^{\frac{3}{2}}}{3 b^{3}}-\frac{10 a^{4}}{\left(b \sqrt{x}+a \right) b^{6}}-\frac{20 a^{3} \ln \left(b \sqrt{x}+a \right)}{b^{6}}-\frac{3 a x}{b^{4}}+\frac{12 a^{2} \sqrt{x}}{b^{5}}"," ",0,"-3*a*x/b^4+2/3*x^(3/2)/b^3-20*a^3*ln(b*x^(1/2)+a)/b^6+12*a^2*x^(1/2)/b^5+a^5/b^6/(b*x^(1/2)+a)^2-10*a^4/b^6/(b*x^(1/2)+a)","A"
2209,1,57,56,0.007000," ","int(x/(b*x^(1/2)+a)^3,x)","\frac{a^{3}}{\left(b \sqrt{x}+a \right)^{2} b^{4}}-\frac{6 a^{2}}{\left(b \sqrt{x}+a \right) b^{4}}-\frac{6 a \ln \left(b \sqrt{x}+a \right)}{b^{4}}+\frac{2 \sqrt{x}}{b^{3}}"," ",0,"-6*a*ln(b*x^(1/2)+a)/b^4+2*x^(1/2)/b^3+a^3/b^4/(b*x^(1/2)+a)^2-6*a^2/b^4/(b*x^(1/2)+a)","A"
2210,1,131,14,0.025000," ","int(1/(b*x^(1/2)+a)^3,x)","-3 \left(-\frac{a^{2}}{2 \left(b^{2} x -a^{2}\right)^{2} b^{4}}-\frac{1}{\left(b^{2} x -a^{2}\right) b^{4}}\right) a \,b^{2}+\frac{a^{3}}{2 \left(b^{2} x -a^{2}\right)^{2} b^{2}}+\frac{a}{2 \left(b \sqrt{x}+a \right)^{2} b^{2}}-\frac{a}{2 \left(b \sqrt{x}-a \right)^{2} b^{2}}-\frac{1}{\left(b \sqrt{x}+a \right) b^{2}}-\frac{1}{\left(b \sqrt{x}-a \right) b^{2}}"," ",0,"-1/b^2/(b*x^(1/2)+a)+1/2/b^2*a/(b*x^(1/2)+a)^2-1/b^2/(b*x^(1/2)-a)-1/2/b^2*a/(b*x^(1/2)-a)^2+1/2*a^3/(b^2*x-a^2)^2/b^2-3*a*b^2*(-1/2*a^2/b^4/(b^2*x-a^2)^2-1/b^4/(b^2*x-a^2))","B"
2211,1,48,47,0.008000," ","int(1/x/(b*x^(1/2)+a)^3,x)","\frac{1}{\left(b \sqrt{x}+a \right)^{2} a}+\frac{2}{\left(b \sqrt{x}+a \right) a^{2}}+\frac{\ln \left(x \right)}{a^{3}}-\frac{2 \ln \left(b \sqrt{x}+a \right)}{a^{3}}"," ",0,"1/a^3*ln(x)-2*ln(b*x^(1/2)+a)/a^3+1/a/(b*x^(1/2)+a)^2+2/a^2/(b*x^(1/2)+a)","A"
2212,1,78,77,0.011000," ","int(1/x^2/(b*x^(1/2)+a)^3,x)","\frac{b^{2}}{\left(b \sqrt{x}+a \right)^{2} a^{3}}+\frac{6 b^{2}}{\left(b \sqrt{x}+a \right) a^{4}}+\frac{6 b^{2} \ln \left(x \right)}{a^{5}}-\frac{12 b^{2} \ln \left(b \sqrt{x}+a \right)}{a^{5}}+\frac{6 b}{a^{4} \sqrt{x}}-\frac{1}{a^{3} x}"," ",0,"-1/a^3/x+6*b^2*ln(x)/a^5-12*b^2*ln(b*x^(1/2)+a)/a^5+6*b/a^4/x^(1/2)+b^2/a^3/(b*x^(1/2)+a)^2+6*b^2/a^4/(b*x^(1/2)+a)","A"
2213,1,100,99,0.013000," ","int(1/x^3/(b*x^(1/2)+a)^3,x)","\frac{b^{4}}{\left(b \sqrt{x}+a \right)^{2} a^{5}}+\frac{10 b^{4}}{\left(b \sqrt{x}+a \right) a^{6}}+\frac{15 b^{4} \ln \left(x \right)}{a^{7}}-\frac{30 b^{4} \ln \left(b \sqrt{x}+a \right)}{a^{7}}+\frac{20 b^{3}}{a^{6} \sqrt{x}}-\frac{6 b^{2}}{a^{5} x}+\frac{2 b}{a^{4} x^{\frac{3}{2}}}-\frac{1}{2 a^{3} x^{2}}"," ",0,"-1/2/a^3/x^2+2*b/a^4/x^(3/2)-6*b^2/a^5/x+15*b^4*ln(x)/a^7-30*b^4*ln(b*x^(1/2)+a)/a^7+20*b^3/a^6/x^(1/2)+b^4/a^5/(b*x^(1/2)+a)^2+10*b^4/a^6/(b*x^(1/2)+a)","A"
2214,1,122,121,0.013000," ","int(1/x^4/(b*x^(1/2)+a)^3,x)","\frac{b^{6}}{\left(b \sqrt{x}+a \right)^{2} a^{7}}+\frac{14 b^{6}}{\left(b \sqrt{x}+a \right) a^{8}}+\frac{28 b^{6} \ln \left(x \right)}{a^{9}}-\frac{56 b^{6} \ln \left(b \sqrt{x}+a \right)}{a^{9}}+\frac{42 b^{5}}{a^{8} \sqrt{x}}-\frac{15 b^{4}}{a^{7} x}+\frac{20 b^{3}}{3 a^{6} x^{\frac{3}{2}}}-\frac{3 b^{2}}{a^{5} x^{2}}+\frac{6 b}{5 a^{4} x^{\frac{5}{2}}}-\frac{1}{3 a^{3} x^{3}}"," ",0,"-1/3/a^3/x^3+6/5*b/a^4/x^(5/2)-3*b^2/a^5/x^2+20/3*b^3/a^6/x^(3/2)-15*b^4/a^7/x+28*b^6*ln(x)/a^9-56*b^6*ln(b*x^(1/2)+a)/a^9+42*b^5/a^8/x^(1/2)+b^6/a^7/(b*x^(1/2)+a)^2+14*b^6/a^8/(b*x^(1/2)+a)","A"
2215,1,134,133,0.012000," ","int(x^4/(b*x^(1/2)+a)^5,x)","\frac{a^{9}}{2 \left(b \sqrt{x}+a \right)^{4} b^{10}}-\frac{6 a^{8}}{\left(b \sqrt{x}+a \right)^{3} b^{10}}+\frac{2 x^{\frac{5}{2}}}{5 b^{5}}+\frac{36 a^{7}}{\left(b \sqrt{x}+a \right)^{2} b^{10}}-\frac{5 a \,x^{2}}{2 b^{6}}+\frac{10 a^{2} x^{\frac{3}{2}}}{b^{7}}-\frac{168 a^{6}}{\left(b \sqrt{x}+a \right) b^{10}}-\frac{252 a^{5} \ln \left(b \sqrt{x}+a \right)}{b^{10}}-\frac{35 a^{3} x}{b^{8}}+\frac{140 a^{4} \sqrt{x}}{b^{9}}"," ",0,"-35*a^3*x/b^8+10*a^2*x^(3/2)/b^7-5/2*a*x^2/b^6+2/5*x^(5/2)/b^5-252*a^5*ln(b*x^(1/2)+a)/b^10+140*a^4*x^(1/2)/b^9+1/2*a^9/b^10/(b*x^(1/2)+a)^4-6*a^8/b^10/(b*x^(1/2)+a)^3+36*a^7/b^10/(b*x^(1/2)+a)^2-168*a^6/b^10/(b*x^(1/2)+a)","A"
2216,1,112,111,0.011000," ","int(x^3/(b*x^(1/2)+a)^5,x)","\frac{a^{7}}{2 \left(b \sqrt{x}+a \right)^{4} b^{8}}-\frac{14 a^{6}}{3 \left(b \sqrt{x}+a \right)^{3} b^{8}}+\frac{21 a^{5}}{\left(b \sqrt{x}+a \right)^{2} b^{8}}+\frac{2 x^{\frac{3}{2}}}{3 b^{5}}-\frac{70 a^{4}}{\left(b \sqrt{x}+a \right) b^{8}}-\frac{70 a^{3} \ln \left(b \sqrt{x}+a \right)}{b^{8}}-\frac{5 a x}{b^{6}}+\frac{30 a^{2} \sqrt{x}}{b^{7}}"," ",0,"-5*a*x/b^6+2/3*x^(3/2)/b^5-70*a^3*ln(b*x^(1/2)+a)/b^8+30*a^2*x^(1/2)/b^7+1/2*a^7/b^8/(b*x^(1/2)+a)^4-14/3*a^6/b^8/(b*x^(1/2)+a)^3+21*a^5/b^8/(b*x^(1/2)+a)^2-70*a^4/b^8/(b*x^(1/2)+a)","A"
2217,1,92,91,0.010000," ","int(x^2/(b*x^(1/2)+a)^5,x)","\frac{a^{5}}{2 \left(b \sqrt{x}+a \right)^{4} b^{6}}-\frac{10 a^{4}}{3 \left(b \sqrt{x}+a \right)^{3} b^{6}}+\frac{10 a^{3}}{\left(b \sqrt{x}+a \right)^{2} b^{6}}-\frac{20 a^{2}}{\left(b \sqrt{x}+a \right) b^{6}}-\frac{10 a \ln \left(b \sqrt{x}+a \right)}{b^{6}}+\frac{2 \sqrt{x}}{b^{5}}"," ",0,"-10*a*ln(b*x^(1/2)+a)/b^6+2*x^(1/2)/b^5+1/2*a^5/b^6/(b*x^(1/2)+a)^4-10/3*a^4/b^6/(b*x^(1/2)+a)^3+10*a^3/b^6/(b*x^(1/2)+a)^2-20*a^2/b^6/(b*x^(1/2)+a)","A"
2218,1,65,17,0.007000," ","int(x/(b*x^(1/2)+a)^5,x)","\frac{a^{3}}{2 \left(b \sqrt{x}+a \right)^{4} b^{4}}-\frac{2 a^{2}}{\left(b \sqrt{x}+a \right)^{3} b^{4}}+\frac{3 a}{\left(b \sqrt{x}+a \right)^{2} b^{4}}-\frac{2}{\left(b \sqrt{x}+a \right) b^{4}}"," ",0,"1/2*a^3/b^4/(b*x^(1/2)+a)^4-2/b^4/(b*x^(1/2)+a)-2*a^2/b^4/(b*x^(1/2)+a)^3+3*a/b^4/(b*x^(1/2)+a)^2","B"
2219,1,200,30,0.042000," ","int(1/(b*x^(1/2)+a)^5,x)","-10 \left(-\frac{a^{2}}{4 \left(b^{2} x -a^{2}\right)^{4} b^{4}}-\frac{1}{3 \left(b^{2} x -a^{2}\right)^{3} b^{4}}\right) a^{3} b^{2}-5 \left(-\frac{a^{4}}{4 \left(b^{2} x -a^{2}\right)^{4} b^{6}}-\frac{2 a^{2}}{3 \left(b^{2} x -a^{2}\right)^{3} b^{6}}-\frac{1}{2 \left(b^{2} x -a^{2}\right)^{2} b^{6}}\right) a \,b^{4}+\frac{a^{5}}{4 \left(b^{2} x -a^{2}\right)^{4} b^{2}}+\frac{a}{4 \left(b \sqrt{x}+a \right)^{4} b^{2}}-\frac{a}{4 \left(b \sqrt{x}-a \right)^{4} b^{2}}-\frac{1}{3 \left(b \sqrt{x}+a \right)^{3} b^{2}}-\frac{1}{3 \left(b \sqrt{x}-a \right)^{3} b^{2}}"," ",0,"-1/3/b^2/(b*x^(1/2)+a)^3+1/4*a/b^2/(b*x^(1/2)+a)^4-1/3/b^2/(b*x^(1/2)-a)^3-1/4/b^2*a/(b*x^(1/2)-a)^4+1/4*a^5/(b^2*x-a^2)^4/b^2-10*a^3*b^2*(-1/4*a^2/b^4/(b^2*x-a^2)^4-1/3/b^4/(b^2*x-a^2)^3)-5*a*b^4*(-1/4*a^4/b^6/(b^2*x-a^2)^4-1/2/b^6/(b^2*x-a^2)^2-2/3*a^2/b^6/(b^2*x-a^2)^3)","B"
2220,1,76,75,0.011000," ","int(1/x/(b*x^(1/2)+a)^5,x)","\frac{1}{2 \left(b \sqrt{x}+a \right)^{4} a}+\frac{2}{3 \left(b \sqrt{x}+a \right)^{3} a^{2}}+\frac{1}{\left(b \sqrt{x}+a \right)^{2} a^{3}}+\frac{2}{\left(b \sqrt{x}+a \right) a^{4}}+\frac{\ln \left(x \right)}{a^{5}}-\frac{2 \ln \left(b \sqrt{x}+a \right)}{a^{5}}"," ",0,"ln(x)/a^5-2*ln(b*x^(1/2)+a)/a^5+1/2/a/(b*x^(1/2)+a)^4+2/3/a^2/(b*x^(1/2)+a)^3+1/a^3/(b*x^(1/2)+a)^2+2/a^4/(b*x^(1/2)+a)","A"
2221,1,113,112,0.012000," ","int(1/x^2/(b*x^(1/2)+a)^5,x)","\frac{b^{2}}{2 \left(b \sqrt{x}+a \right)^{4} a^{3}}+\frac{2 b^{2}}{\left(b \sqrt{x}+a \right)^{3} a^{4}}+\frac{6 b^{2}}{\left(b \sqrt{x}+a \right)^{2} a^{5}}+\frac{20 b^{2}}{\left(b \sqrt{x}+a \right) a^{6}}+\frac{15 b^{2} \ln \left(x \right)}{a^{7}}-\frac{30 b^{2} \ln \left(b \sqrt{x}+a \right)}{a^{7}}+\frac{10 b}{a^{6} \sqrt{x}}-\frac{1}{a^{5} x}"," ",0,"-1/a^5/x+15*b^2*ln(x)/a^7-30*b^2*ln(b*x^(1/2)+a)/a^7+10*b/a^6/x^(1/2)+1/2*b^2/a^3/(b*x^(1/2)+a)^4+2*b^2/a^4/(b*x^(1/2)+a)^3+6*b^2/a^5/(b*x^(1/2)+a)^2+20*b^2/a^6/(b*x^(1/2)+a)","A"
2222,1,135,134,0.014000," ","int(1/x^3/(b*x^(1/2)+a)^5,x)","\frac{b^{4}}{2 \left(b \sqrt{x}+a \right)^{4} a^{5}}+\frac{10 b^{4}}{3 \left(b \sqrt{x}+a \right)^{3} a^{6}}+\frac{15 b^{4}}{\left(b \sqrt{x}+a \right)^{2} a^{7}}+\frac{70 b^{4}}{\left(b \sqrt{x}+a \right) a^{8}}+\frac{70 b^{4} \ln \left(x \right)}{a^{9}}-\frac{140 b^{4} \ln \left(b \sqrt{x}+a \right)}{a^{9}}+\frac{70 b^{3}}{a^{8} \sqrt{x}}-\frac{15 b^{2}}{a^{7} x}+\frac{10 b}{3 a^{6} x^{\frac{3}{2}}}-\frac{1}{2 a^{5} x^{2}}"," ",0,"-1/2/a^5/x^2+10/3*b/a^6/x^(3/2)-15*b^2/a^7/x+70*b^4*ln(x)/a^9-140*b^4*ln(b*x^(1/2)+a)/a^9+70*b^3/a^8/x^(1/2)+1/2*b^4/a^5/(b*x^(1/2)+a)^4+10/3*b^4/a^6/(b*x^(1/2)+a)^3+15*b^4/a^7/(b*x^(1/2)+a)^2+70*b^4/a^8/(b*x^(1/2)+a)","A"
2223,1,174,173,0.013000," ","int(x^5/(b*x^(1/2)+a)^8,x)","\frac{2 a^{11}}{7 \left(b \sqrt{x}+a \right)^{7} b^{12}}-\frac{11 a^{10}}{3 \left(b \sqrt{x}+a \right)^{6} b^{12}}+\frac{22 a^{9}}{\left(b \sqrt{x}+a \right)^{5} b^{12}}-\frac{165 a^{8}}{2 \left(b \sqrt{x}+a \right)^{4} b^{12}}+\frac{220 a^{7}}{\left(b \sqrt{x}+a \right)^{3} b^{12}}-\frac{462 a^{6}}{\left(b \sqrt{x}+a \right)^{2} b^{12}}+\frac{x^{2}}{2 b^{8}}-\frac{16 a \,x^{\frac{3}{2}}}{3 b^{9}}+\frac{924 a^{5}}{\left(b \sqrt{x}+a \right) b^{12}}+\frac{660 a^{4} \ln \left(b \sqrt{x}+a \right)}{b^{12}}+\frac{36 a^{2} x}{b^{10}}-\frac{240 a^{3} \sqrt{x}}{b^{11}}"," ",0,"36*a^2*x/b^10-16/3*a*x^(3/2)/b^9+1/2*x^2/b^8+660*a^4*ln(b*x^(1/2)+a)/b^12-240*a^3*x^(1/2)/b^11+2/7*a^11/b^12/(b*x^(1/2)+a)^7-11/3*a^10/b^12/(b*x^(1/2)+a)^6+22*a^9/b^12/(b*x^(1/2)+a)^5-165/2*a^8/b^12/(b*x^(1/2)+a)^4+220*a^7/b^12/(b*x^(1/2)+a)^3-462*a^6/b^12/(b*x^(1/2)+a)^2+924*a^5/b^12/(b*x^(1/2)+a)","A"
2224,1,151,150,0.011000," ","int(x^4/(b*x^(1/2)+a)^8,x)","\frac{2 a^{9}}{7 \left(b \sqrt{x}+a \right)^{7} b^{10}}-\frac{3 a^{8}}{\left(b \sqrt{x}+a \right)^{6} b^{10}}+\frac{72 a^{7}}{5 \left(b \sqrt{x}+a \right)^{5} b^{10}}-\frac{42 a^{6}}{\left(b \sqrt{x}+a \right)^{4} b^{10}}+\frac{84 a^{5}}{\left(b \sqrt{x}+a \right)^{3} b^{10}}-\frac{126 a^{4}}{\left(b \sqrt{x}+a \right)^{2} b^{10}}+\frac{168 a^{3}}{\left(b \sqrt{x}+a \right) b^{10}}+\frac{72 a^{2} \ln \left(b \sqrt{x}+a \right)}{b^{10}}+\frac{x}{b^{8}}-\frac{16 a \sqrt{x}}{b^{9}}"," ",0,"x/b^8+72*a^2*ln(b*x^(1/2)+a)/b^10-16*a*x^(1/2)/b^9+2/7*a^9/b^10/(b*x^(1/2)+a)^7-3*a^8/b^10/(b*x^(1/2)+a)^6+72/5*a^7/b^10/(b*x^(1/2)+a)^5-42*a^6/b^10/(b*x^(1/2)+a)^4+84*a^5/b^10/(b*x^(1/2)+a)^3-126*a^4/b^10/(b*x^(1/2)+a)^2+168*a^3/b^10/(b*x^(1/2)+a)","A"
2225,1,132,131,0.010000," ","int(x^3/(b*x^(1/2)+a)^8,x)","\frac{2 a^{7}}{7 \left(b \sqrt{x}+a \right)^{7} b^{8}}-\frac{7 a^{6}}{3 \left(b \sqrt{x}+a \right)^{6} b^{8}}+\frac{42 a^{5}}{5 \left(b \sqrt{x}+a \right)^{5} b^{8}}-\frac{35 a^{4}}{2 \left(b \sqrt{x}+a \right)^{4} b^{8}}+\frac{70 a^{3}}{3 \left(b \sqrt{x}+a \right)^{3} b^{8}}-\frac{21 a^{2}}{\left(b \sqrt{x}+a \right)^{2} b^{8}}+\frac{14 a}{\left(b \sqrt{x}+a \right) b^{8}}+\frac{2 \ln \left(b \sqrt{x}+a \right)}{b^{8}}"," ",0,"2*ln(b*x^(1/2)+a)/b^8+2/7*a^7/b^8/(b*x^(1/2)+a)^7-7/3*a^6/b^8/(b*x^(1/2)+a)^6+42/5*a^5/b^8/(b*x^(1/2)+a)^5-35/2*a^4/b^8/(b*x^(1/2)+a)^4+70/3*a^3/b^8/(b*x^(1/2)+a)^3-21*a^2/b^8/(b*x^(1/2)+a)^2+14*a/b^8/(b*x^(1/2)+a)","A"
2226,1,99,35,0.006000," ","int(x^2/(b*x^(1/2)+a)^8,x)","\frac{2 a^{5}}{7 \left(b \sqrt{x}+a \right)^{7} b^{6}}-\frac{5 a^{4}}{3 \left(b \sqrt{x}+a \right)^{6} b^{6}}+\frac{4 a^{3}}{\left(b \sqrt{x}+a \right)^{5} b^{6}}-\frac{5 a^{2}}{\left(b \sqrt{x}+a \right)^{4} b^{6}}+\frac{10 a}{3 \left(b \sqrt{x}+a \right)^{3} b^{6}}-\frac{1}{\left(b \sqrt{x}+a \right)^{2} b^{6}}"," ",0,"10/3*a/b^6/(b*x^(1/2)+a)^3+4*a^3/b^6/(b*x^(1/2)+a)^5+2/7*a^5/b^6/(b*x^(1/2)+a)^7-5*a^2/b^6/(b*x^(1/2)+a)^4-5/3*a^4/b^6/(b*x^(1/2)+a)^6-1/b^6/(b*x^(1/2)+a)^2","B"
2227,1,65,64,0.007000," ","int(x/(b*x^(1/2)+a)^8,x)","\frac{2 a^{3}}{7 \left(b \sqrt{x}+a \right)^{7} b^{4}}-\frac{a^{2}}{\left(b \sqrt{x}+a \right)^{6} b^{4}}+\frac{6 a}{5 \left(b \sqrt{x}+a \right)^{5} b^{4}}-\frac{1}{2 \left(b \sqrt{x}+a \right)^{4} b^{4}}"," ",0,"2/7*a^3/b^4/(b*x^(1/2)+a)^7-a^2/b^4/(b*x^(1/2)+a)^6+6/5*a/b^4/(b*x^(1/2)+a)^5-1/2/b^4/(b*x^(1/2)+a)^4","A"
2228,1,399,30,0.067000," ","int(1/(b*x^(1/2)+a)^8,x)","28 \left(-\frac{a^{2}}{7 \left(b^{2} x -a^{2}\right)^{7} b^{4}}-\frac{1}{6 \left(b^{2} x -a^{2}\right)^{6} b^{4}}\right) a^{6} b^{2}+70 \left(-\frac{a^{4}}{7 \left(b^{2} x -a^{2}\right)^{7} b^{6}}-\frac{a^{2}}{3 \left(b^{2} x -a^{2}\right)^{6} b^{6}}-\frac{1}{5 \left(b^{2} x -a^{2}\right)^{5} b^{6}}\right) a^{4} b^{4}+28 \left(-\frac{a^{6}}{7 \left(b^{2} x -a^{2}\right)^{7} b^{8}}-\frac{a^{4}}{2 \left(b^{2} x -a^{2}\right)^{6} b^{8}}-\frac{3 a^{2}}{5 \left(b^{2} x -a^{2}\right)^{5} b^{8}}-\frac{1}{4 \left(b^{2} x -a^{2}\right)^{4} b^{8}}\right) a^{2} b^{6}+\left(-\frac{a^{8}}{7 \left(b^{2} x -a^{2}\right)^{7} b^{10}}-\frac{2 a^{6}}{3 \left(b^{2} x -a^{2}\right)^{6} b^{10}}-\frac{6 a^{4}}{5 \left(b^{2} x -a^{2}\right)^{5} b^{10}}-\frac{a^{2}}{\left(b^{2} x -a^{2}\right)^{4} b^{10}}-\frac{1}{3 \left(b^{2} x -a^{2}\right)^{3} b^{10}}\right) b^{8}-\frac{a^{8}}{7 \left(b^{2} x -a^{2}\right)^{7} b^{2}}+\frac{a}{7 \left(b \sqrt{x}+a \right)^{7} b^{2}}+\frac{a}{7 \left(b \sqrt{x}-a \right)^{7} b^{2}}-\frac{1}{6 \left(b \sqrt{x}+a \right)^{6} b^{2}}+\frac{1}{6 \left(b \sqrt{x}-a \right)^{6} b^{2}}"," ",0,"-1/7*a^8/(b^2*x-a^2)^7/b^2+b^8*(-a^2/b^10/(b^2*x-a^2)^4-1/3/b^10/(b^2*x-a^2)^3-6/5*a^4/b^10/(b^2*x-a^2)^5-1/7*a^8/b^10/(b^2*x-a^2)^7-2/3*a^6/b^10/(b^2*x-a^2)^6)+1/7*a/b^2/(b*x^(1/2)+a)^7+1/7*a/b^2/(b*x^(1/2)-a)^7-1/6/b^2/(b*x^(1/2)+a)^6+1/6/b^2/(b*x^(1/2)-a)^6+28*b^6*a^2*(-1/4/(b^2*x-a^2)^4/b^8-3/5*a^2/b^8/(b^2*x-a^2)^5-1/7*a^6/b^8/(b^2*x-a^2)^7-1/2*a^4/b^8/(b^2*x-a^2)^6)+28*b^2*a^6*(-1/7*a^2/b^4/(b^2*x-a^2)^7-1/6/b^4/(b^2*x-a^2)^6)+70*a^4*b^4*(-1/5/b^6/(b^2*x-a^2)^5-1/7*a^4/b^6/(b^2*x-a^2)^7-1/3*a^2/b^6/(b^2*x-a^2)^6)","B"
2229,1,118,117,0.010000," ","int(1/x/(b*x^(1/2)+a)^8,x)","\frac{2}{7 \left(b \sqrt{x}+a \right)^{7} a}+\frac{1}{3 \left(b \sqrt{x}+a \right)^{6} a^{2}}+\frac{2}{5 \left(b \sqrt{x}+a \right)^{5} a^{3}}+\frac{1}{2 \left(b \sqrt{x}+a \right)^{4} a^{4}}+\frac{2}{3 \left(b \sqrt{x}+a \right)^{3} a^{5}}+\frac{1}{\left(b \sqrt{x}+a \right)^{2} a^{6}}+\frac{2}{\left(b \sqrt{x}+a \right) a^{7}}+\frac{\ln \left(x \right)}{a^{8}}-\frac{2 \ln \left(b \sqrt{x}+a \right)}{a^{8}}"," ",0,"ln(x)/a^8-2*ln(b*x^(1/2)+a)/a^8+2/7/a/(b*x^(1/2)+a)^7+1/3/a^2/(b*x^(1/2)+a)^6+2/5/a^3/(b*x^(1/2)+a)^5+1/2/a^4/(b*x^(1/2)+a)^4+2/3/a^5/(b*x^(1/2)+a)^3+1/a^6/(b*x^(1/2)+a)^2+2/a^7/(b*x^(1/2)+a)","A"
2230,1,163,162,0.014000," ","int(1/x^2/(b*x^(1/2)+a)^8,x)","\frac{2 b^{2}}{7 \left(b \sqrt{x}+a \right)^{7} a^{3}}+\frac{b^{2}}{\left(b \sqrt{x}+a \right)^{6} a^{4}}+\frac{12 b^{2}}{5 \left(b \sqrt{x}+a \right)^{5} a^{5}}+\frac{5 b^{2}}{\left(b \sqrt{x}+a \right)^{4} a^{6}}+\frac{10 b^{2}}{\left(b \sqrt{x}+a \right)^{3} a^{7}}+\frac{21 b^{2}}{\left(b \sqrt{x}+a \right)^{2} a^{8}}+\frac{56 b^{2}}{\left(b \sqrt{x}+a \right) a^{9}}+\frac{36 b^{2} \ln \left(x \right)}{a^{10}}-\frac{72 b^{2} \ln \left(b \sqrt{x}+a \right)}{a^{10}}+\frac{16 b}{a^{9} \sqrt{x}}-\frac{1}{a^{8} x}"," ",0,"-1/a^8/x+36*b^2*ln(x)/a^10-72*b^2*ln(b*x^(1/2)+a)/a^10+16*b/a^9/x^(1/2)+2/7*b^2/a^3/(b*x^(1/2)+a)^7+b^2/a^4/(b*x^(1/2)+a)^6+12/5*b^2/a^5/(b*x^(1/2)+a)^5+5*b^2/a^6/(b*x^(1/2)+a)^4+10*b^2/a^7/(b*x^(1/2)+a)^3+21*b^2/a^8/(b*x^(1/2)+a)^2+56*b^2/a^9/(b*x^(1/2)+a)","A"
2231,1,186,185,0.016000," ","int(1/x^3/(b*x^(1/2)+a)^8,x)","\frac{2 b^{4}}{7 \left(b \sqrt{x}+a \right)^{7} a^{5}}+\frac{5 b^{4}}{3 \left(b \sqrt{x}+a \right)^{6} a^{6}}+\frac{6 b^{4}}{\left(b \sqrt{x}+a \right)^{5} a^{7}}+\frac{35 b^{4}}{2 \left(b \sqrt{x}+a \right)^{4} a^{8}}+\frac{140 b^{4}}{3 \left(b \sqrt{x}+a \right)^{3} a^{9}}+\frac{126 b^{4}}{\left(b \sqrt{x}+a \right)^{2} a^{10}}+\frac{420 b^{4}}{\left(b \sqrt{x}+a \right) a^{11}}+\frac{330 b^{4} \ln \left(x \right)}{a^{12}}-\frac{660 b^{4} \ln \left(b \sqrt{x}+a \right)}{a^{12}}+\frac{240 b^{3}}{a^{11} \sqrt{x}}-\frac{36 b^{2}}{a^{10} x}+\frac{16 b}{3 a^{9} x^{\frac{3}{2}}}-\frac{1}{2 a^{8} x^{2}}"," ",0,"-1/2/a^8/x^2+16/3*b/a^9/x^(3/2)-36*b^2/a^10/x+330*b^4*ln(x)/a^12-660*b^4*ln(b*x^(1/2)+a)/a^12+240*b^3/a^11/x^(1/2)+2/7*b^4/a^5/(b*x^(1/2)+a)^7+5/3*b^4/a^6/(b*x^(1/2)+a)^6+6*b^4/a^7/(b*x^(1/2)+a)^5+35/2*b^4/a^8/(b*x^(1/2)+a)^4+140/3*b^4/a^9/(b*x^(1/2)+a)^3+126*b^4/a^10/(b*x^(1/2)+a)^2+420*b^4/a^11/(b*x^(1/2)+a)","A"
2232,1,16,15,0.005000," ","int(1/x/(2+b*x^(1/2)),x)","\frac{\ln \left(x \right)}{2}-\ln \left(b \sqrt{x}+2\right)"," ",0,"1/2*ln(x)-ln(2+b*x^(1/2))","A"
2233,1,85,98,0.005000," ","int(x^2*(b*x^(1/2)+a)^(1/2),x)","\frac{-\frac{4 \left(b \sqrt{x}+a \right)^{\frac{3}{2}} a^{5}}{3}+4 \left(b \sqrt{x}+a \right)^{\frac{5}{2}} a^{4}-\frac{40 \left(b \sqrt{x}+a \right)^{\frac{7}{2}} a^{3}}{7}+\frac{40 \left(b \sqrt{x}+a \right)^{\frac{9}{2}} a^{2}}{9}-\frac{20 \left(b \sqrt{x}+a \right)^{\frac{11}{2}} a}{11}+\frac{4 \left(b \sqrt{x}+a \right)^{\frac{13}{2}}}{13}}{b^{6}}"," ",0,"4/b^6*(1/13*(b*x^(1/2)+a)^(13/2)-5/11*a*(b*x^(1/2)+a)^(11/2)+10/9*a^2*(b*x^(1/2)+a)^(9/2)-10/7*a^3*(b*x^(1/2)+a)^(7/2)+a^4*(b*x^(1/2)+a)^(5/2)-1/3*(b*x^(1/2)+a)^(3/2)*a^5)","A"
2234,1,58,64,0.003000," ","int(x*(b*x^(1/2)+a)^(1/2),x)","\frac{-\frac{4 \left(b \sqrt{x}+a \right)^{\frac{3}{2}} a^{3}}{3}+\frac{12 \left(b \sqrt{x}+a \right)^{\frac{5}{2}} a^{2}}{5}-\frac{12 \left(b \sqrt{x}+a \right)^{\frac{7}{2}} a}{7}+\frac{4 \left(b \sqrt{x}+a \right)^{\frac{9}{2}}}{9}}{b^{4}}"," ",0,"4/b^4*(1/9*(b*x^(1/2)+a)^(9/2)-3/7*a*(b*x^(1/2)+a)^(7/2)+3/5*(b*x^(1/2)+a)^(5/2)*a^2-1/3*a^3*(b*x^(1/2)+a)^(3/2))","A"
2235,1,30,30,0.003000," ","int((b*x^(1/2)+a)^(1/2),x)","\frac{-\frac{4 \left(b \sqrt{x}+a \right)^{\frac{3}{2}} a}{3}+\frac{4 \left(b \sqrt{x}+a \right)^{\frac{5}{2}}}{5}}{b^{2}}"," ",0,"4/b^2*(1/5*(b*x^(1/2)+a)^(5/2)-1/3*a*(b*x^(1/2)+a)^(3/2))","A"
2236,1,32,31,0.005000," ","int((b*x^(1/2)+a)^(1/2)/x,x)","-4 \sqrt{a}\, \arctanh \left(\frac{\sqrt{b \sqrt{x}+a}}{\sqrt{a}}\right)+4 \sqrt{b \sqrt{x}+a}"," ",0,"-4*arctanh((b*x^(1/2)+a)^(1/2)/a^(1/2))*a^(1/2)+4*(b*x^(1/2)+a)^(1/2)","A"
2237,1,59,55,0.008000," ","int((b*x^(1/2)+a)^(1/2)/x^2,x)","4 \left(\frac{\arctanh \left(\frac{\sqrt{b \sqrt{x}+a}}{\sqrt{a}}\right)}{8 a^{\frac{3}{2}}}+\frac{-\frac{\left(b \sqrt{x}+a \right)^{\frac{3}{2}}}{8 a}-\frac{\sqrt{b \sqrt{x}+a}}{8}}{b^{2} x}\right) b^{2}"," ",0,"4*b^2*((-1/8/a*(b*x^(1/2)+a)^(3/2)-1/8*(b*x^(1/2)+a)^(1/2))/x/b^2+1/8/a^(3/2)*arctanh((b*x^(1/2)+a)^(1/2)/a^(1/2)))","A"
2238,1,87,95,0.010000," ","int((b*x^(1/2)+a)^(1/2)/x^3,x)","4 \left(\frac{5 \arctanh \left(\frac{\sqrt{b \sqrt{x}+a}}{\sqrt{a}}\right)}{128 a^{\frac{7}{2}}}+\frac{-\frac{73 \left(b \sqrt{x}+a \right)^{\frac{3}{2}}}{384 a}+\frac{55 \left(b \sqrt{x}+a \right)^{\frac{5}{2}}}{384 a^{2}}-\frac{5 \left(b \sqrt{x}+a \right)^{\frac{7}{2}}}{128 a^{3}}-\frac{5 \sqrt{b \sqrt{x}+a}}{128}}{b^{4} x^{2}}\right) b^{4}"," ",0,"4*b^4*((-5/128/a^3*(b*x^(1/2)+a)^(7/2)+55/384/a^2*(b*x^(1/2)+a)^(5/2)-73/384*(b*x^(1/2)+a)^(3/2)/a-5/128*(b*x^(1/2)+a)^(1/2))/x^2/b^4+5/128/a^(7/2)*arctanh((b*x^(1/2)+a)^(1/2)/a^(1/2)))","A"
2239,1,86,98,0.003000," ","int(x^2/(b*x^(1/2)+a)^(1/2),x)","\frac{-4 \sqrt{b \sqrt{x}+a}\, a^{5}+\frac{20 \left(b \sqrt{x}+a \right)^{\frac{3}{2}} a^{4}}{3}-8 \left(b \sqrt{x}+a \right)^{\frac{5}{2}} a^{3}+\frac{40 \left(b \sqrt{x}+a \right)^{\frac{7}{2}} a^{2}}{7}-\frac{20 \left(b \sqrt{x}+a \right)^{\frac{9}{2}} a}{9}+\frac{4 \left(b \sqrt{x}+a \right)^{\frac{11}{2}}}{11}}{b^{6}}"," ",0,"4/b^6*(1/11*(b*x^(1/2)+a)^(11/2)-5/9*a*(b*x^(1/2)+a)^(9/2)+10/7*a^2*(b*x^(1/2)+a)^(7/2)-2*a^3*(b*x^(1/2)+a)^(5/2)+5/3*a^4*(b*x^(1/2)+a)^(3/2)-(b*x^(1/2)+a)^(1/2)*a^5)","A"
2240,1,57,64,0.003000," ","int(x/(b*x^(1/2)+a)^(1/2),x)","\frac{-4 \sqrt{b \sqrt{x}+a}\, a^{3}+4 \left(b \sqrt{x}+a \right)^{\frac{3}{2}} a^{2}-\frac{12 \left(b \sqrt{x}+a \right)^{\frac{5}{2}} a}{5}+\frac{4 \left(b \sqrt{x}+a \right)^{\frac{7}{2}}}{7}}{b^{4}}"," ",0,"4/b^4*(1/7*(b*x^(1/2)+a)^(7/2)-3/5*a*(b*x^(1/2)+a)^(5/2)+a^2*(b*x^(1/2)+a)^(3/2)-(b*x^(1/2)+a)^(1/2)*a^3)","A"
2241,1,30,30,0.005000," ","int(1/(b*x^(1/2)+a)^(1/2),x)","\frac{-4 \sqrt{b \sqrt{x}+a}\, a +\frac{4 \left(b \sqrt{x}+a \right)^{\frac{3}{2}}}{3}}{b^{2}}"," ",0,"4/b^2*(1/3*(b*x^(1/2)+a)^(3/2)-(b*x^(1/2)+a)^(1/2)*a)","A"
2242,1,20,19,0.003000," ","int(1/x/(b*x^(1/2)+a)^(1/2),x)","-\frac{4 \arctanh \left(\frac{\sqrt{b \sqrt{x}+a}}{\sqrt{a}}\right)}{\sqrt{a}}"," ",0,"-4*arctanh((b*x^(1/2)+a)^(1/2)/a^(1/2))/a^(1/2)","A"
2243,1,72,58,0.006000," ","int(1/x^2/(b*x^(1/2)+a)^(1/2),x)","4 \left(-\frac{3 \left(\frac{\arctanh \left(\frac{\sqrt{b \sqrt{x}+a}}{\sqrt{a}}\right)}{2 a^{\frac{3}{2}}}-\frac{\sqrt{b \sqrt{x}+a}}{2 a b \sqrt{x}}\right)}{4 a}-\frac{\sqrt{b \sqrt{x}+a}}{4 a \,b^{2} x}\right) b^{2}"," ",0,"4*b^2*(-1/4*(b*x^(1/2)+a)^(1/2)/a/x/b^2-3/4/a*(-1/2*(b*x^(1/2)+a)^(1/2)/a/x^(1/2)/b+1/2/a^(3/2)*arctanh((b*x^(1/2)+a)^(1/2)/a^(1/2))))","A"
2244,1,124,98,0.006000," ","int(1/x^3/(b*x^(1/2)+a)^(1/2),x)","4 \left(-\frac{7 \left(-\frac{5 \left(-\frac{3 \left(\frac{\arctanh \left(\frac{\sqrt{b \sqrt{x}+a}}{\sqrt{a}}\right)}{2 a^{\frac{3}{2}}}-\frac{\sqrt{b \sqrt{x}+a}}{2 a b \sqrt{x}}\right)}{4 a}-\frac{\sqrt{b \sqrt{x}+a}}{4 a \,b^{2} x}\right)}{6 a}-\frac{\sqrt{b \sqrt{x}+a}}{6 a \,b^{3} x^{\frac{3}{2}}}\right)}{8 a}-\frac{\sqrt{b \sqrt{x}+a}}{8 a \,b^{4} x^{2}}\right) b^{4}"," ",0,"4*b^4*(-1/8*(b*x^(1/2)+a)^(1/2)/a/x^2/b^4-7/8/a*(-1/6*(b*x^(1/2)+a)^(1/2)/a/x^(3/2)/b^3-5/6/a*(-1/4*(b*x^(1/2)+a)^(1/2)/a/b^2/x-3/4/a*(-1/2*(b*x^(1/2)+a)^(1/2)/a/b/x^(1/2)+1/2/a^(3/2)*arctanh((b*x^(1/2)+a)^(1/2)/a^(1/2))))))","A"
2245,0,0,68,0.178000," ","int(x^(1/2)*(b*x^(1/2)+a)^n,x)","\int \sqrt{x}\, \left(b \sqrt{x}+a \right)^{n}\, dx"," ",0,"int(x^(1/2)*(b*x^(1/2)+a)^n,x)","F"
2246,1,22,21,0.003000," ","int((b*x^(1/2)+a)^n/x^(1/2),x)","\frac{2 \left(b \sqrt{x}+a \right)^{n +1}}{\left(n +1\right) b}"," ",0,"2*(b*x^(1/2)+a)^(1+n)/b/(1+n)","A"
2247,1,8,7,0.001000," ","int((1+x^(1/2))/x^(1/2),x)","x +2 \sqrt{x}"," ",0,"x+2*x^(1/2)","A"
2248,1,15,9,0.002000," ","int((1+x^(1/2))^2/x^(1/2),x)","\frac{2 x^{\frac{3}{2}}}{3}+2 x +2 \sqrt{x}"," ",0,"2/3*x^(3/2)+2*x+2*x^(1/2)","A"
2249,1,20,9,0.002000," ","int((1+x^(1/2))^3/x^(1/2),x)","\frac{x^{2}}{2}+2 x^{\frac{3}{2}}+3 x +2 \sqrt{x}"," ",0,"1/2*x^2+2*x^(3/2)+3*x+2*x^(1/2)","B"
2250,1,16,15,0.004000," ","int(x^(1/2)/(1+x^(1/2)),x)","x +2 \ln \left(\sqrt{x}+1\right)-2 \sqrt{x}"," ",0,"x+2*ln(1+x^(1/2))-2*x^(1/2)","A"
2251,1,9,8,0.002000," ","int(1/x^(1/2)/(x^(1/2)+1),x)","2 \ln \left(\sqrt{x}+1\right)"," ",0,"2*ln(x^(1/2)+1)","A"
2252,1,10,9,0.003000," ","int(1/x^(1/2)/(x^(1/2)+1)^2,x)","-\frac{2}{\sqrt{x}+1}"," ",0,"-2/(x^(1/2)+1)","A"
2253,1,10,9,0.003000," ","int(1/x^(1/2)/(x^(1/2)+1)^3,x)","-\frac{1}{\left(\sqrt{x}+1\right)^{2}}"," ",0,"-1/(x^(1/2)+1)^2","A"
2254,1,29,28,0.006000," ","int(x^(1/2)*(x^(1/2)+1)^(1/2),x)","\frac{4 \left(\sqrt{x}+1\right)^{\frac{3}{2}}}{3}-\frac{8 \left(\sqrt{x}+1\right)^{\frac{5}{2}}}{5}+\frac{4 \left(\sqrt{x}+1\right)^{\frac{7}{2}}}{7}"," ",0,"4/3*(x^(1/2)+1)^(3/2)-8/5*(x^(1/2)+1)^(5/2)+4/7*(x^(1/2)+1)^(7/2)","A"
2255,1,10,9,0.002000," ","int((x^(1/2)+1)^(1/2)/x^(1/2),x)","\frac{4 \left(\sqrt{x}+1\right)^{\frac{3}{2}}}{3}"," ",0,"4/3*(x^(1/2)+1)^(3/2)","A"
2256,1,49,43,0.010000," ","int(x^(1/3)/(x^(1/2)+1),x)","2 \sqrt{3}\, \arctan \left(\frac{\left(2 x^{\frac{1}{6}}-1\right) \sqrt{3}}{3}\right)-2 \ln \left(x^{\frac{1}{6}}+1\right)+\ln \left(x^{\frac{1}{3}}-x^{\frac{1}{6}}+1\right)+\frac{6 x^{\frac{5}{6}}}{5}-3 x^{\frac{1}{3}}"," ",0,"6/5*x^(5/6)-3*x^(1/3)+ln(x^(1/3)-x^(1/6)+1)+2*3^(1/2)*arctan(1/3*(2*x^(1/6)-1)*3^(1/2))-2*ln(1+x^(1/6))","A"
2257,0,0,83,0.181000," ","int(x^m*(b*x^(1/2)+a)^4,x)","\int \left(b \sqrt{x}+a \right)^{4} x^{m}\, dx"," ",0,"int(x^m*(b*x^(1/2)+a)^4,x)","F"
2258,0,0,66,0.172000," ","int(x^m*(b*x^(1/2)+a)^3,x)","\int \left(b \sqrt{x}+a \right)^{3} x^{m}\, dx"," ",0,"int(x^m*(b*x^(1/2)+a)^3,x)","F"
2259,0,0,45,0.170000," ","int(x^m*(b*x^(1/2)+a)^2,x)","\int \left(b \sqrt{x}+a \right)^{2} x^{m}\, dx"," ",0,"int(x^m*(b*x^(1/2)+a)^2,x)","F"
2260,0,0,28,0.004000," ","int(x^m*(b*x^(1/2)+a),x)","\int \left(b \sqrt{x}+a \right) x^{m}\, dx"," ",0,"int(x^m*(b*x^(1/2)+a),x)","F"
2261,0,0,37,0.180000," ","int(x^m/(b*x^(1/2)+a),x)","\int \frac{x^{m}}{b \sqrt{x}+a}\, dx"," ",0,"int(x^m/(b*x^(1/2)+a),x)","F"
2262,0,0,37,0.178000," ","int(x^m/(b*x^(1/2)+a)^2,x)","\int \frac{x^{m}}{\left(b \sqrt{x}+a \right)^{2}}\, dx"," ",0,"int(x^m/(b*x^(1/2)+a)^2,x)","F"
2263,0,0,50,0.178000," ","int(x^m*(b*x^(1/2)+a)^p,x)","\int x^{m} \left(b \sqrt{x}+a \right)^{p}\, dx"," ",0,"int(x^m*(b*x^(1/2)+a)^p,x)","F"
2264,0,0,188,0.181000," ","int(x^3*(b*x^(1/2)+a)^p,x)","\int x^{3} \left(b \sqrt{x}+a \right)^{p}\, dx"," ",0,"int(x^3*(b*x^(1/2)+a)^p,x)","F"
2265,0,0,140,0.181000," ","int(x^2*(b*x^(1/2)+a)^p,x)","\int x^{2} \left(b \sqrt{x}+a \right)^{p}\, dx"," ",0,"int(x^2*(b*x^(1/2)+a)^p,x)","F"
2266,0,0,92,0.178000," ","int(x*(b*x^(1/2)+a)^p,x)","\int x \left(b \sqrt{x}+a \right)^{p}\, dx"," ",0,"int(x*(b*x^(1/2)+a)^p,x)","F"
2267,0,0,44,0.180000," ","int((b*x^(1/2)+a)^p,x)","\int \left(b \sqrt{x}+a \right)^{p}\, dx"," ",0,"int((b*x^(1/2)+a)^p,x)","F"
2268,0,0,41,0.184000," ","int((b*x^(1/2)+a)^p/x,x)","\int \frac{\left(b \sqrt{x}+a \right)^{p}}{x}\, dx"," ",0,"int((b*x^(1/2)+a)^p/x,x)","F"
2269,0,0,44,0.177000," ","int((b*x^(1/2)+a)^p/x^2,x)","\int \frac{\left(b \sqrt{x}+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*x^(1/2)+a)^p/x^2,x)","F"
2270,1,9,8,0.001000," ","int(x^(1/2)/(1+x^(3/2)),x)","\frac{2 \ln \left(x^{\frac{3}{2}}+1\right)}{3}"," ",0,"2/3*ln(1+x^(3/2))","A"
2271,0,0,98,0.197000," ","int(x^3/(a+b*x^(3/2))^(2/3),x)","\int \frac{x^{3}}{\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(x^3/(a+b*x^(3/2))^(2/3),x)","F"
2272,0,0,59,0.178000," ","int(1/(b*x^(3/2)+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(b*x^(3/2)+a)^(2/3),x)","F"
2273,0,0,36,0.184000," ","int(1/x^3/(b*x^(3/2)+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{2}{3}} x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^(3/2)+a)^(2/3),x)","F"
2274,0,0,76,0.185000," ","int(1/x^6/(b*x^(3/2)+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{2}{3}} x^{6}}\, dx"," ",0,"int(1/x^6/(b*x^(3/2)+a)^(2/3),x)","F"
2275,0,0,116,0.178000," ","int(1/x^9/(b*x^(3/2)+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{2}{3}} x^{9}}\, dx"," ",0,"int(1/x^9/(b*x^(3/2)+a)^(2/3),x)","F"
2276,0,0,98,0.180000," ","int(x^8/(b*x^(3/2)+a)^(2/3),x)","\int \frac{x^{8}}{\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(x^8/(b*x^(3/2)+a)^(2/3),x)","F"
2277,0,0,64,0.180000," ","int(x^5/(b*x^(3/2)+a)^(2/3),x)","\int \frac{x^{5}}{\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(x^5/(b*x^(3/2)+a)^(2/3),x)","F"
2278,1,30,30,0.003000," ","int(x^2/(b*x^(3/2)+a)^(2/3),x)","\frac{-2 \left(b \,x^{\frac{3}{2}}+a \right)^{\frac{1}{3}} a +\frac{\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{4}{3}}}{2}}{b^{2}}"," ",0,"2/b^2*(1/4*(b*x^(3/2)+a)^(4/3)-(b*x^(3/2)+a)^(1/3)*a)","A"
2279,1,85,60,0.009000," ","int(1/x/(b*x^(3/2)+a)^(2/3),x)","-\frac{2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b \,x^{\frac{3}{2}}+a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{3 a^{\frac{2}{3}}}+\frac{2 \ln \left(-a^{\frac{1}{3}}+\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{1}{3}}\right)}{3 a^{\frac{2}{3}}}-\frac{\ln \left(a^{\frac{2}{3}}+\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{2}{3}}\right)}{3 a^{\frac{2}{3}}}"," ",0,"2/3/a^(2/3)*ln((b*x^(3/2)+a)^(1/3)-a^(1/3))-1/3/a^(2/3)*ln((b*x^(3/2)+a)^(2/3)+a^(1/3)*(b*x^(3/2)+a)^(1/3)+a^(2/3))-2/3/a^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/a^(1/3)*(b*x^(3/2)+a)^(1/3)+1))","A"
2280,0,0,105,0.184000," ","int(1/x^4/(b*x^(3/2)+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{2}{3}} x^{4}}\, dx"," ",0,"int(1/x^4/(b*x^(3/2)+a)^(2/3),x)","F"
2281,0,0,32,0.184000," ","int(x^4/(b*x^(3/2)+a)^(2/3),x)","\int \frac{x^{4}}{\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(x^4/(b*x^(3/2)+a)^(2/3),x)","F"
2282,0,0,32,0.182000," ","int(x/(b*x^(3/2)+a)^(2/3),x)","\int \frac{x}{\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(x/(b*x^(3/2)+a)^(2/3),x)","F"
2283,0,0,32,0.184000," ","int(1/x^2/(b*x^(3/2)+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{2}{3}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^(3/2)+a)^(2/3),x)","F"
2284,0,0,41,0.183000," ","int(1/x^5/(b*x^(3/2)+a)^(2/3),x)","\int \frac{1}{\left(b \,x^{\frac{3}{2}}+a \right)^{\frac{2}{3}} x^{5}}\, dx"," ",0,"int(1/x^5/(b*x^(3/2)+a)^(2/3),x)","F"
2285,1,14,13,0.002000," ","int((a+b*x^(1/3))*x^4,x)","\frac{3 b \,x^{\frac{16}{3}}}{16}+\frac{a \,x^{5}}{5}"," ",0,"1/5*a*x^5+3/16*b*x^(16/3)","A"
2286,1,14,13,0.003000," ","int((a+b*x^(1/3))*x^3,x)","\frac{3 b \,x^{\frac{13}{3}}}{13}+\frac{a \,x^{4}}{4}"," ",0,"1/4*a*x^4+3/13*b*x^(13/3)","A"
2287,1,14,13,0.001000," ","int((a+b*x^(1/3))*x^2,x)","\frac{3 b \,x^{\frac{10}{3}}}{10}+\frac{a \,x^{3}}{3}"," ",0,"1/3*a*x^3+3/10*b*x^(10/3)","A"
2288,1,14,13,0.002000," ","int((a+b*x^(1/3))*x,x)","\frac{3 b \,x^{\frac{7}{3}}}{7}+\frac{a \,x^{2}}{2}"," ",0,"1/2*a*x^2+3/7*b*x^(7/3)","A"
2289,1,11,10,0.002000," ","int(a+b*x^(1/3),x)","\frac{3 b \,x^{\frac{4}{3}}}{4}+a x"," ",0,"a*x+3/4*b*x^(4/3)","A"
2290,1,12,11,0.002000," ","int((a+b*x^(1/3))/x,x)","a \ln \left(x \right)+3 b \,x^{\frac{1}{3}}"," ",0,"3*b*x^(1/3)+a*ln(x)","A"
2291,1,14,13,0.003000," ","int((a+b*x^(1/3))/x^2,x)","-\frac{3 b}{2 x^{\frac{2}{3}}}-\frac{a}{x}"," ",0,"-a/x-3/2*b/x^(2/3)","A"
2292,1,14,13,0.006000," ","int((a+b*x^(1/3))/x^3,x)","-\frac{3 b}{5 x^{\frac{5}{3}}}-\frac{a}{2 x^{2}}"," ",0,"-1/2*a/x^2-3/5*b/x^(5/3)","A"
2293,1,14,13,0.004000," ","int((a+b*x^(1/3))/x^4,x)","-\frac{3 b}{8 x^{\frac{8}{3}}}-\frac{a}{3 x^{3}}"," ",0,"-1/3*a/x^3-3/8*b/x^(8/3)","A"
2294,1,25,24,0.002000," ","int((a+b*x^(1/3))^2*x^4,x)","\frac{3 b^{2} x^{\frac{17}{3}}}{17}+\frac{3 a b \,x^{\frac{16}{3}}}{8}+\frac{a^{2} x^{5}}{5}"," ",0,"1/5*a^2*x^5+3/8*a*b*x^(16/3)+3/17*b^2*x^(17/3)","A"
2295,1,25,24,0.001000," ","int((a+b*x^(1/3))^2*x^3,x)","\frac{3 b^{2} x^{\frac{14}{3}}}{14}+\frac{6 a b \,x^{\frac{13}{3}}}{13}+\frac{a^{2} x^{4}}{4}"," ",0,"1/4*a^2*x^4+6/13*a*b*x^(13/3)+3/14*b^2*x^(14/3)","A"
2296,1,25,24,0.002000," ","int((a+b*x^(1/3))^2*x^2,x)","\frac{3 b^{2} x^{\frac{11}{3}}}{11}+\frac{3 a b \,x^{\frac{10}{3}}}{5}+\frac{a^{2} x^{3}}{3}"," ",0,"1/3*a^2*x^3+3/5*a*b*x^(10/3)+3/11*b^2*x^(11/3)","A"
2297,1,25,24,0.000000," ","int((a+b*x^(1/3))^2*x,x)","\frac{3 b^{2} x^{\frac{8}{3}}}{8}+\frac{6 a b \,x^{\frac{7}{3}}}{7}+\frac{a^{2} x^{2}}{2}"," ",0,"1/2*a^2*x^2+6/7*a*b*x^(7/3)+3/8*b^2*x^(8/3)","A"
2298,1,22,21,0.002000," ","int((a+b*x^(1/3))^2,x)","\frac{3 b^{2} x^{\frac{5}{3}}}{5}+\frac{3 a b \,x^{\frac{4}{3}}}{2}+a^{2} x"," ",0,"a^2*x+3/2*a*b*x^(4/3)+3/5*b^2*x^(5/3)","A"
2299,1,23,22,0.004000," ","int((a+b*x^(1/3))^2/x,x)","a^{2} \ln \left(x \right)+\frac{3 b^{2} x^{\frac{2}{3}}}{2}+6 a b \,x^{\frac{1}{3}}"," ",0,"6*a*b*x^(1/3)+3/2*b^2*x^(2/3)+a^2*ln(x)","A"
2300,1,25,17,0.005000," ","int((a+b*x^(1/3))^2/x^2,x)","-\frac{3 b^{2}}{x^{\frac{1}{3}}}-\frac{3 a b}{x^{\frac{2}{3}}}-\frac{a^{2}}{x}"," ",0,"-a^2/x-3*a*b/x^(2/3)-3*b^2/x^(1/3)","A"
2301,1,25,24,0.006000," ","int((a+b*x^(1/3))^2/x^3,x)","-\frac{3 b^{2}}{4 x^{\frac{4}{3}}}-\frac{6 a b}{5 x^{\frac{5}{3}}}-\frac{a^{2}}{2 x^{2}}"," ",0,"-1/2*a^2/x^2-6/5*a*b/x^(5/3)-3/4*b^2/x^(4/3)","A"
2302,1,25,24,0.007000," ","int((a+b*x^(1/3))^2/x^4,x)","-\frac{3 b^{2}}{7 x^{\frac{7}{3}}}-\frac{3 a b}{4 x^{\frac{8}{3}}}-\frac{a^{2}}{3 x^{3}}"," ",0,"-1/3*a^2/x^3-3/4*a*b/x^(8/3)-3/7*b^2/x^(7/3)","A"
2303,1,36,35,0.000000," ","int((a+b*x^(1/3))^3*x^4,x)","\frac{b^{3} x^{6}}{6}+\frac{9 a \,b^{2} x^{\frac{17}{3}}}{17}+\frac{9 a^{2} b \,x^{\frac{16}{3}}}{16}+\frac{a^{3} x^{5}}{5}"," ",0,"1/5*a^3*x^5+9/16*a^2*b*x^(16/3)+9/17*a*b^2*x^(17/3)+1/6*b^3*x^6","A"
2304,1,36,35,0.003000," ","int((a+b*x^(1/3))^3*x^3,x)","\frac{b^{3} x^{5}}{5}+\frac{9 a \,b^{2} x^{\frac{14}{3}}}{14}+\frac{9 a^{2} b \,x^{\frac{13}{3}}}{13}+\frac{a^{3} x^{4}}{4}"," ",0,"1/4*a^3*x^4+9/13*a^2*b*x^(13/3)+9/14*a*b^2*x^(14/3)+1/5*b^3*x^5","A"
2305,1,36,35,0.002000," ","int((a+b*x^(1/3))^3*x^2,x)","\frac{b^{3} x^{4}}{4}+\frac{9 a \,b^{2} x^{\frac{11}{3}}}{11}+\frac{9 a^{2} b \,x^{\frac{10}{3}}}{10}+\frac{a^{3} x^{3}}{3}"," ",0,"1/3*a^3*x^3+9/10*a^2*b*x^(10/3)+9/11*a*b^2*x^(11/3)+1/4*b^3*x^4","A"
2306,1,36,35,0.001000," ","int((a+b*x^(1/3))^3*x,x)","\frac{b^{3} x^{3}}{3}+\frac{9 a \,b^{2} x^{\frac{8}{3}}}{8}+\frac{9 a^{2} b \,x^{\frac{7}{3}}}{7}+\frac{a^{3} x^{2}}{2}"," ",0,"1/2*a^3*x^2+9/7*a^2*b*x^(7/3)+9/8*a*b^2*x^(8/3)+1/3*b^3*x^3","A"
2307,1,33,32,0.000000," ","int((a+b*x^(1/3))^3,x)","\frac{b^{3} x^{2}}{2}+\frac{9 a \,b^{2} x^{\frac{5}{3}}}{5}+\frac{9 a^{2} b \,x^{\frac{4}{3}}}{4}+a^{3} x"," ",0,"a^3*x+9/4*a^2*b*x^(4/3)+9/5*a*b^2*x^(5/3)+1/2*b^3*x^2","A"
2308,1,31,30,0.003000," ","int((a+b*x^(1/3))^3/x,x)","a^{3} \ln \left(x \right)+b^{3} x +\frac{9 a \,b^{2} x^{\frac{2}{3}}}{2}+9 a^{2} b \,x^{\frac{1}{3}}"," ",0,"9*a^2*b*x^(1/3)+9/2*a*b^2*x^(2/3)+b^3*x+a^3*ln(x)","A"
2309,1,34,33,0.007000," ","int((a+b*x^(1/3))^3/x^2,x)","b^{3} \ln \left(x \right)-\frac{9 a \,b^{2}}{x^{\frac{1}{3}}}-\frac{9 a^{2} b}{2 x^{\frac{2}{3}}}-\frac{a^{3}}{x}"," ",0,"-a^3/x-9/2*a^2*b/x^(2/3)-9*a*b^2/x^(1/3)+b^3*ln(x)","A"
2310,1,36,35,0.006000," ","int((a+b*x^(1/3))^3/x^3,x)","-\frac{b^{3}}{x}-\frac{9 a \,b^{2}}{4 x^{\frac{4}{3}}}-\frac{9 a^{2} b}{5 x^{\frac{5}{3}}}-\frac{a^{3}}{2 x^{2}}"," ",0,"-1/2*a^3/x^2-9/5*a^2*b/x^(5/3)-9/4*a*b^2/x^(4/3)-b^3/x","A"
2311,1,36,35,0.006000," ","int((a+b*x^(1/3))^3/x^4,x)","-\frac{b^{3}}{2 x^{2}}-\frac{9 a \,b^{2}}{7 x^{\frac{7}{3}}}-\frac{9 a^{2} b}{8 x^{\frac{8}{3}}}-\frac{a^{3}}{3 x^{3}}"," ",0,"-1/3*a^3/x^3-9/8*a^2*b/x^(8/3)-9/7*a*b^2/x^(7/3)-1/2*b^3/x^2","A"
2312,1,58,57,0.002000," ","int((a+b*x^(1/3))^5*x^4,x)","\frac{3 b^{5} x^{\frac{20}{3}}}{20}+\frac{15 a \,b^{4} x^{\frac{19}{3}}}{19}+\frac{5 a^{2} b^{3} x^{6}}{3}+\frac{30 a^{3} b^{2} x^{\frac{17}{3}}}{17}+\frac{15 a^{4} b \,x^{\frac{16}{3}}}{16}+\frac{a^{5} x^{5}}{5}"," ",0,"1/5*a^5*x^5+15/16*a^4*b*x^(16/3)+30/17*a^3*b^2*x^(17/3)+5/3*a^2*b^3*x^6+15/19*a*b^4*x^(19/3)+3/20*b^5*x^(20/3)","A"
2313,1,58,57,0.002000," ","int((a+b*x^(1/3))^5*x^3,x)","\frac{3 b^{5} x^{\frac{17}{3}}}{17}+\frac{15 a \,b^{4} x^{\frac{16}{3}}}{16}+2 a^{2} b^{3} x^{5}+\frac{15 a^{3} b^{2} x^{\frac{14}{3}}}{7}+\frac{15 a^{4} b \,x^{\frac{13}{3}}}{13}+\frac{a^{5} x^{4}}{4}"," ",0,"1/4*a^5*x^4+15/13*a^4*b*x^(13/3)+15/7*a^3*b^2*x^(14/3)+2*a^2*b^3*x^5+15/16*a*b^4*x^(16/3)+3/17*b^5*x^(17/3)","A"
2314,1,58,57,0.001000," ","int((a+b*x^(1/3))^5*x^2,x)","\frac{3 b^{5} x^{\frac{14}{3}}}{14}+\frac{15 a \,b^{4} x^{\frac{13}{3}}}{13}+\frac{5 a^{2} b^{3} x^{4}}{2}+\frac{30 a^{3} b^{2} x^{\frac{11}{3}}}{11}+\frac{3 a^{4} b \,x^{\frac{10}{3}}}{2}+\frac{a^{5} x^{3}}{3}"," ",0,"1/3*a^5*x^3+3/2*a^4*b*x^(10/3)+30/11*a^3*b^2*x^(11/3)+5/2*a^2*b^3*x^4+15/13*a*b^4*x^(13/3)+3/14*b^5*x^(14/3)","A"
2315,1,58,57,0.002000," ","int((a+b*x^(1/3))^5*x,x)","\frac{3 b^{5} x^{\frac{11}{3}}}{11}+\frac{3 a \,b^{4} x^{\frac{10}{3}}}{2}+\frac{10 a^{2} b^{3} x^{3}}{3}+\frac{15 a^{3} b^{2} x^{\frac{8}{3}}}{4}+\frac{15 a^{4} b \,x^{\frac{7}{3}}}{7}+\frac{a^{5} x^{2}}{2}"," ",0,"1/2*a^5*x^2+15/7*a^4*b*x^(7/3)+15/4*a^3*b^2*x^(8/3)+10/3*a^2*b^3*x^3+3/2*a*b^4*x^(10/3)+3/11*b^5*x^(11/3)","A"
2316,1,55,47,0.003000," ","int((a+b*x^(1/3))^5,x)","\frac{3 b^{5} x^{\frac{8}{3}}}{8}+\frac{15 a \,b^{4} x^{\frac{7}{3}}}{7}+5 a^{2} b^{3} x^{2}+6 a^{3} b^{2} x^{\frac{5}{3}}+\frac{15 a^{4} b \,x^{\frac{4}{3}}}{4}+a^{5} x"," ",0,"a^5*x+3/8*b^5*x^(8/3)+15/7*a*b^4*x^(7/3)+5*a^2*b^3*x^2+6*a^3*b^2*x^(5/3)+15/4*a^4*b*x^(4/3)","A"
2317,1,54,53,0.005000," ","int((a+b*x^(1/3))^5/x,x)","\frac{3 b^{5} x^{\frac{5}{3}}}{5}+\frac{15 a \,b^{4} x^{\frac{4}{3}}}{4}+a^{5} \ln \left(x \right)+10 a^{2} b^{3} x +15 a^{3} b^{2} x^{\frac{2}{3}}+15 a^{4} b \,x^{\frac{1}{3}}"," ",0,"15*a^4*b*x^(1/3)+15*a^3*b^2*x^(2/3)+10*a^2*b^3*x+15/4*a*b^4*x^(4/3)+3/5*b^5*x^(5/3)+a^5*ln(x)","A"
2318,1,57,56,0.007000," ","int((a+b*x^(1/3))^5/x^2,x)","10 a^{2} b^{3} \ln \left(x \right)+\frac{3 b^{5} x^{\frac{2}{3}}}{2}+15 a \,b^{4} x^{\frac{1}{3}}-\frac{30 a^{3} b^{2}}{x^{\frac{1}{3}}}-\frac{15 a^{4} b}{2 x^{\frac{2}{3}}}-\frac{a^{5}}{x}"," ",0,"-a^5/x-15/2*a^4*b/x^(2/3)-30*a^3*b^2/x^(1/3)+15*a*b^4*x^(1/3)+3/2*b^5*x^(2/3)+10*a^2*b^3*ln(x)","A"
2319,1,58,17,0.007000," ","int((a+b*x^(1/3))^5/x^3,x)","-\frac{3 b^{5}}{x^{\frac{1}{3}}}-\frac{15 a \,b^{4}}{2 x^{\frac{2}{3}}}-\frac{10 a^{2} b^{3}}{x}-\frac{15 a^{3} b^{2}}{2 x^{\frac{4}{3}}}-\frac{3 a^{4} b}{x^{\frac{5}{3}}}-\frac{a^{5}}{2 x^{2}}"," ",0,"-3*a^4*b/x^(5/3)-15/2*a^3*b^2/x^(4/3)-10*a^2*b^3/x-15/2*a*b^4/x^(2/3)-1/2*a^5/x^2-3*b^5/x^(1/3)","B"
2320,1,58,57,0.005000," ","int((a+b*x^(1/3))^5/x^4,x)","-\frac{3 b^{5}}{4 x^{\frac{4}{3}}}-\frac{3 a \,b^{4}}{x^{\frac{5}{3}}}-\frac{5 a^{2} b^{3}}{x^{2}}-\frac{30 a^{3} b^{2}}{7 x^{\frac{7}{3}}}-\frac{15 a^{4} b}{8 x^{\frac{8}{3}}}-\frac{a^{5}}{3 x^{3}}"," ",0,"-1/3*a^5/x^3-15/8*a^4*b/x^(8/3)-30/7*a^3*b^2/x^(7/3)-5*a^2*b^3/x^2-3*a*b^4/x^(5/3)-3/4*b^5/x^(4/3)","A"
2321,1,58,57,0.007000," ","int((a+b*x^(1/3))^5/x^5,x)","-\frac{3 b^{5}}{7 x^{\frac{7}{3}}}-\frac{15 a \,b^{4}}{8 x^{\frac{8}{3}}}-\frac{10 a^{2} b^{3}}{3 x^{3}}-\frac{3 a^{3} b^{2}}{x^{\frac{10}{3}}}-\frac{15 a^{4} b}{11 x^{\frac{11}{3}}}-\frac{a^{5}}{4 x^{4}}"," ",0,"-1/4*a^5/x^4-15/11*a^4*b/x^(11/3)-3*a^3*b^2/x^(10/3)-10/3*a^2*b^3/x^3-15/8*a*b^4/x^(8/3)-3/7*b^5/x^(7/3)","A"
2322,1,58,57,0.007000," ","int((a+b*x^(1/3))^5/x^6,x)","-\frac{3 b^{5}}{10 x^{\frac{10}{3}}}-\frac{15 a \,b^{4}}{11 x^{\frac{11}{3}}}-\frac{5 a^{2} b^{3}}{2 x^{4}}-\frac{30 a^{3} b^{2}}{13 x^{\frac{13}{3}}}-\frac{15 a^{4} b}{14 x^{\frac{14}{3}}}-\frac{a^{5}}{5 x^{5}}"," ",0,"-1/5*a^5/x^5-15/14*a^4*b/x^(14/3)-30/13*a^3*b^2/x^(13/3)-5/2*a^2*b^3/x^4-15/11*a*b^4/x^(11/3)-3/10*b^5/x^(10/3)","A"
2323,1,58,57,0.006000," ","int((a+b*x^(1/3))^5/x^7,x)","-\frac{3 b^{5}}{13 x^{\frac{13}{3}}}-\frac{15 a \,b^{4}}{14 x^{\frac{14}{3}}}-\frac{2 a^{2} b^{3}}{x^{5}}-\frac{15 a^{3} b^{2}}{8 x^{\frac{16}{3}}}-\frac{15 a^{4} b}{17 x^{\frac{17}{3}}}-\frac{a^{5}}{6 x^{6}}"," ",0,"-1/6*a^5/x^6-15/17*a^4*b/x^(17/3)-15/8*a^3*b^2/x^(16/3)-2*a^2*b^3/x^5-15/14*a*b^4/x^(14/3)-3/13*b^5/x^(13/3)","A"
2324,1,113,112,0.003000," ","int((a+b*x^(1/3))^10*x^4,x)","\frac{3 b^{10} x^{\frac{25}{3}}}{25}+\frac{5 a \,b^{9} x^{8}}{4}+\frac{135 a^{2} b^{8} x^{\frac{23}{3}}}{23}+\frac{180 a^{3} b^{7} x^{\frac{22}{3}}}{11}+30 a^{4} b^{6} x^{7}+\frac{189 a^{5} b^{5} x^{\frac{20}{3}}}{5}+\frac{630 a^{6} b^{4} x^{\frac{19}{3}}}{19}+20 a^{7} b^{3} x^{6}+\frac{135 a^{8} b^{2} x^{\frac{17}{3}}}{17}+\frac{15 a^{9} b \,x^{\frac{16}{3}}}{8}+\frac{a^{10} x^{5}}{5}"," ",0,"1/5*a^10*x^5+15/8*a^9*b*x^(16/3)+135/17*a^8*b^2*x^(17/3)+20*a^7*b^3*x^6+630/19*a^6*b^4*x^(19/3)+189/5*a^5*b^5*x^(20/3)+30*a^4*b^6*x^7+180/11*a^3*b^7*x^(22/3)+135/23*a^2*b^8*x^(23/3)+5/4*a*b^9*x^8+3/25*b^10*x^(25/3)","A"
2325,1,113,112,0.001000," ","int((a+b*x^(1/3))^10*x^3,x)","\frac{3 b^{10} x^{\frac{22}{3}}}{22}+\frac{10 a \,b^{9} x^{7}}{7}+\frac{27 a^{2} b^{8} x^{\frac{20}{3}}}{4}+\frac{360 a^{3} b^{7} x^{\frac{19}{3}}}{19}+35 a^{4} b^{6} x^{6}+\frac{756 a^{5} b^{5} x^{\frac{17}{3}}}{17}+\frac{315 a^{6} b^{4} x^{\frac{16}{3}}}{8}+24 a^{7} b^{3} x^{5}+\frac{135 a^{8} b^{2} x^{\frac{14}{3}}}{14}+\frac{30 a^{9} b \,x^{\frac{13}{3}}}{13}+\frac{a^{10} x^{4}}{4}"," ",0,"1/4*a^10*x^4+30/13*a^9*b*x^(13/3)+135/14*a^8*b^2*x^(14/3)+24*a^7*b^3*x^5+315/8*a^6*b^4*x^(16/3)+756/17*a^5*b^5*x^(17/3)+35*a^4*b^6*x^6+360/19*a^3*b^7*x^(19/3)+27/4*a^2*b^8*x^(20/3)+10/7*a*b^9*x^7+3/22*b^10*x^(22/3)","A"
2326,1,113,149,0.002000," ","int((a+b*x^(1/3))^10*x^2,x)","\frac{3 b^{10} x^{\frac{19}{3}}}{19}+\frac{5 a \,b^{9} x^{6}}{3}+\frac{135 a^{2} b^{8} x^{\frac{17}{3}}}{17}+\frac{45 a^{3} b^{7} x^{\frac{16}{3}}}{2}+42 a^{4} b^{6} x^{5}+54 a^{5} b^{5} x^{\frac{14}{3}}+\frac{630 a^{6} b^{4} x^{\frac{13}{3}}}{13}+30 a^{7} b^{3} x^{4}+\frac{135 a^{8} b^{2} x^{\frac{11}{3}}}{11}+3 a^{9} b \,x^{\frac{10}{3}}+\frac{a^{10} x^{3}}{3}"," ",0,"3/19*b^10*x^(19/3)+5/3*a*b^9*x^6+135/17*a^2*b^8*x^(17/3)+45/2*a^3*b^7*x^(16/3)+42*a^4*b^6*x^5+54*a^5*b^5*x^(14/3)+630/13*a^6*b^4*x^(13/3)+30*a^7*b^3*x^4+135/11*a^8*b^2*x^(11/3)+3*a^9*b*x^(10/3)+1/3*x^3*a^10","A"
2327,1,113,98,0.002000," ","int((a+b*x^(1/3))^10*x,x)","\frac{3 b^{10} x^{\frac{16}{3}}}{16}+2 a \,b^{9} x^{5}+\frac{135 a^{2} b^{8} x^{\frac{14}{3}}}{14}+\frac{360 a^{3} b^{7} x^{\frac{13}{3}}}{13}+\frac{105 a^{4} b^{6} x^{4}}{2}+\frac{756 a^{5} b^{5} x^{\frac{11}{3}}}{11}+63 a^{6} b^{4} x^{\frac{10}{3}}+40 a^{7} b^{3} x^{3}+\frac{135 a^{8} b^{2} x^{\frac{8}{3}}}{8}+\frac{30 a^{9} b \,x^{\frac{7}{3}}}{7}+\frac{a^{10} x^{2}}{2}"," ",0,"3/16*b^10*x^(16/3)+2*a*b^9*x^5+135/14*a^2*b^8*x^(14/3)+360/13*a^3*b^7*x^(13/3)+105/2*a^4*b^6*x^4+756/11*a^5*b^5*x^(11/3)+63*a^6*b^4*x^(10/3)+40*a^7*b^3*x^3+135/8*a^8*b^2*x^(8/3)+30/7*a^9*b*x^(7/3)+1/2*x^2*a^10","A"
2328,1,110,47,0.002000," ","int((a+b*x^(1/3))^10,x)","\frac{3 b^{10} x^{\frac{13}{3}}}{13}+\frac{5 a \,b^{9} x^{4}}{2}+\frac{135 a^{2} b^{8} x^{\frac{11}{3}}}{11}+36 a^{3} b^{7} x^{\frac{10}{3}}+70 a^{4} b^{6} x^{3}+\frac{189 a^{5} b^{5} x^{\frac{8}{3}}}{2}+90 a^{6} b^{4} x^{\frac{7}{3}}+60 a^{7} b^{3} x^{2}+27 a^{8} b^{2} x^{\frac{5}{3}}+\frac{15 a^{9} b \,x^{\frac{4}{3}}}{2}+a^{10} x"," ",0,"a^10*x+3/13*b^10*x^(13/3)+5/2*a*b^9*x^4+135/11*a^2*b^8*x^(11/3)+36*a^3*b^7*x^(10/3)+70*a^4*b^6*x^3+189/2*a^5*b^5*x^(8/3)+90*a^6*b^4*x^(7/3)+60*a^7*b^3*x^2+27*a^8*b^2*x^(5/3)+15/2*a^9*b*x^(4/3)","B"
2329,1,109,108,0.004000," ","int((a+b*x^(1/3))^10/x,x)","\frac{3 b^{10} x^{\frac{10}{3}}}{10}+\frac{10 a \,b^{9} x^{3}}{3}+\frac{135 a^{2} b^{8} x^{\frac{8}{3}}}{8}+\frac{360 a^{3} b^{7} x^{\frac{7}{3}}}{7}+105 a^{4} b^{6} x^{2}+\frac{756 a^{5} b^{5} x^{\frac{5}{3}}}{5}+\frac{315 a^{6} b^{4} x^{\frac{4}{3}}}{2}+a^{10} \ln \left(x \right)+120 a^{7} b^{3} x +\frac{135 a^{8} b^{2} x^{\frac{2}{3}}}{2}+30 a^{9} b \,x^{\frac{1}{3}}"," ",0,"30*a^9*b*x^(1/3)+135/2*a^8*b^2*x^(2/3)+120*a^7*b^3*x+315/2*a^6*b^4*x^(4/3)+756/5*a^5*b^5*x^(5/3)+105*a^4*b^6*x^2+360/7*a^3*b^7*x^(7/3)+135/8*a^2*b^8*x^(8/3)+10/3*a*b^9*x^3+3/10*b^10*x^(10/3)+a^10*ln(x)","A"
2330,1,110,109,0.006000," ","int((a+b*x^(1/3))^10/x^2,x)","\frac{3 b^{10} x^{\frac{7}{3}}}{7}+5 a \,b^{9} x^{2}+27 a^{2} b^{8} x^{\frac{5}{3}}+90 a^{3} b^{7} x^{\frac{4}{3}}+120 a^{7} b^{3} \ln \left(x \right)+210 a^{4} b^{6} x +378 a^{5} b^{5} x^{\frac{2}{3}}+630 a^{6} b^{4} x^{\frac{1}{3}}-\frac{135 a^{8} b^{2}}{x^{\frac{1}{3}}}-\frac{15 a^{9} b}{x^{\frac{2}{3}}}-\frac{a^{10}}{x}"," ",0,"-a^10/x-15*a^9*b/x^(2/3)-135*a^8*b^2/x^(1/3)+630*a^6*b^4*x^(1/3)+378*a^5*b^5*x^(2/3)+210*a^4*b^6*x+90*a^3*b^7*x^(4/3)+27*a^2*b^8*x^(5/3)+5*a*b^9*x^2+3/7*b^10*x^(7/3)+120*a^7*b^3*ln(x)","A"
2331,1,110,109,0.008000," ","int((a+b*x^(1/3))^10/x^3,x)","\frac{3 b^{10} x^{\frac{4}{3}}}{4}+210 a^{4} b^{6} \ln \left(x \right)+10 a \,b^{9} x +\frac{135 a^{2} b^{8} x^{\frac{2}{3}}}{2}+360 a^{3} b^{7} x^{\frac{1}{3}}-\frac{756 a^{5} b^{5}}{x^{\frac{1}{3}}}-\frac{315 a^{6} b^{4}}{x^{\frac{2}{3}}}-\frac{120 a^{7} b^{3}}{x}-\frac{135 a^{8} b^{2}}{4 x^{\frac{4}{3}}}-\frac{6 a^{9} b}{x^{\frac{5}{3}}}-\frac{a^{10}}{2 x^{2}}"," ",0,"-1/2*a^10/x^2-6*a^9*b/x^(5/3)-135/4*a^8*b^2/x^(4/3)-120*a^7*b^3/x-315*a^6*b^4/x^(2/3)-756*a^5*b^5/x^(1/3)+360*a^3*b^7*x^(1/3)+135/2*a^2*b^8*x^(2/3)+10*a*b^9*x+3/4*b^10*x^(4/3)+210*a^4*b^6*ln(x)","A"
2332,1,112,111,0.010000," ","int((a+b*x^(1/3))^10/x^4,x)","10 a \,b^{9} \ln \left(x \right)+3 b^{10} x^{\frac{1}{3}}-\frac{135 a^{2} b^{8}}{x^{\frac{1}{3}}}-\frac{180 a^{3} b^{7}}{x^{\frac{2}{3}}}-\frac{210 a^{4} b^{6}}{x}-\frac{189 a^{5} b^{5}}{x^{\frac{4}{3}}}-\frac{126 a^{6} b^{4}}{x^{\frac{5}{3}}}-\frac{60 a^{7} b^{3}}{x^{2}}-\frac{135 a^{8} b^{2}}{7 x^{\frac{7}{3}}}-\frac{15 a^{9} b}{4 x^{\frac{8}{3}}}-\frac{a^{10}}{3 x^{3}}"," ",0,"-1/3*a^10/x^3-15/4*a^9*b/x^(8/3)-135/7*a^8*b^2/x^(7/3)-60*a^7*b^3/x^2-126*a^6*b^4/x^(5/3)-189*a^5*b^5/x^(4/3)-210*a^4*b^6/x-180*a^3*b^7/x^(2/3)-135*a^2*b^8/x^(1/3)+3*b^10*x^(1/3)+10*a*b^9*ln(x)","A"
2333,1,113,36,0.010000," ","int((a+b*x^(1/3))^10/x^5,x)","-\frac{3 b^{10}}{2 x^{\frac{2}{3}}}-\frac{10 a \,b^{9}}{x}-\frac{135 a^{2} b^{8}}{4 x^{\frac{4}{3}}}-\frac{72 a^{3} b^{7}}{x^{\frac{5}{3}}}-\frac{105 a^{4} b^{6}}{x^{2}}-\frac{108 a^{5} b^{5}}{x^{\frac{7}{3}}}-\frac{315 a^{6} b^{4}}{4 x^{\frac{8}{3}}}-\frac{40 a^{7} b^{3}}{x^{3}}-\frac{27 a^{8} b^{2}}{2 x^{\frac{10}{3}}}-\frac{30 a^{9} b}{11 x^{\frac{11}{3}}}-\frac{a^{10}}{4 x^{4}}"," ",0,"-72*a^3*b^7/x^(5/3)-135/4*a^2*b^8/x^(4/3)-10*a*b^9/x-315/4*a^6*b^4/x^(8/3)-3/2*b^10/x^(2/3)-40*a^7*b^3/x^3-108*a^5*b^5/x^(7/3)-105*a^4*b^6/x^2-1/4*a^10/x^4-27/2*a^8*b^2/x^(10/3)-30/11*a^9*b/x^(11/3)","B"
2334,1,113,96,0.007000," ","int((a+b*x^(1/3))^10/x^6,x)","-\frac{3 b^{10}}{5 x^{\frac{5}{3}}}-\frac{5 a \,b^{9}}{x^{2}}-\frac{135 a^{2} b^{8}}{7 x^{\frac{7}{3}}}-\frac{45 a^{3} b^{7}}{x^{\frac{8}{3}}}-\frac{70 a^{4} b^{6}}{x^{3}}-\frac{378 a^{5} b^{5}}{5 x^{\frac{10}{3}}}-\frac{630 a^{6} b^{4}}{11 x^{\frac{11}{3}}}-\frac{30 a^{7} b^{3}}{x^{4}}-\frac{135 a^{8} b^{2}}{13 x^{\frac{13}{3}}}-\frac{15 a^{9} b}{7 x^{\frac{14}{3}}}-\frac{a^{10}}{5 x^{5}}"," ",0,"-3/5*b^10/x^(5/3)-15/7*a^9*b/x^(14/3)-45*a^3*b^7/x^(8/3)-1/5*a^10/x^5-135/13*a^8*b^2/x^(13/3)-70*a^4*b^6/x^3-135/7*a^2*b^8/x^(7/3)-5*a*b^9/x^2-30*a^7*b^3/x^4-378/5*a^5*b^5/x^(10/3)-630/11*a^6*b^4/x^(11/3)","A"
2335,1,113,112,0.007000," ","int((a+b*x^(1/3))^10/x^7,x)","-\frac{3 b^{10}}{8 x^{\frac{8}{3}}}-\frac{10 a \,b^{9}}{3 x^{3}}-\frac{27 a^{2} b^{8}}{2 x^{\frac{10}{3}}}-\frac{360 a^{3} b^{7}}{11 x^{\frac{11}{3}}}-\frac{105 a^{4} b^{6}}{2 x^{4}}-\frac{756 a^{5} b^{5}}{13 x^{\frac{13}{3}}}-\frac{45 a^{6} b^{4}}{x^{\frac{14}{3}}}-\frac{24 a^{7} b^{3}}{x^{5}}-\frac{135 a^{8} b^{2}}{16 x^{\frac{16}{3}}}-\frac{30 a^{9} b}{17 x^{\frac{17}{3}}}-\frac{a^{10}}{6 x^{6}}"," ",0,"-1/6*a^10/x^6-30/17*a^9*b/x^(17/3)-135/16*a^8*b^2/x^(16/3)-24*a^7*b^3/x^5-45*a^6*b^4/x^(14/3)-756/13*a^5*b^5/x^(13/3)-105/2*a^4*b^6/x^4-360/11*a^3*b^7/x^(11/3)-27/2*a^2*b^8/x^(10/3)-10/3*a*b^9/x^3-3/8*b^10/x^(8/3)","A"
2336,1,113,112,0.008000," ","int((a+b*x^(1/3))^10/x^8,x)","-\frac{3 b^{10}}{11 x^{\frac{11}{3}}}-\frac{5 a \,b^{9}}{2 x^{4}}-\frac{135 a^{2} b^{8}}{13 x^{\frac{13}{3}}}-\frac{180 a^{3} b^{7}}{7 x^{\frac{14}{3}}}-\frac{42 a^{4} b^{6}}{x^{5}}-\frac{189 a^{5} b^{5}}{4 x^{\frac{16}{3}}}-\frac{630 a^{6} b^{4}}{17 x^{\frac{17}{3}}}-\frac{20 a^{7} b^{3}}{x^{6}}-\frac{135 a^{8} b^{2}}{19 x^{\frac{19}{3}}}-\frac{3 a^{9} b}{2 x^{\frac{20}{3}}}-\frac{a^{10}}{7 x^{7}}"," ",0,"-1/7*a^10/x^7-3/2*a^9*b/x^(20/3)-135/19*a^8*b^2/x^(19/3)-20*a^7*b^3/x^6-630/17*a^6*b^4/x^(17/3)-189/4*a^5*b^5/x^(16/3)-42*a^4*b^6/x^5-180/7*a^3*b^7/x^(14/3)-135/13*a^2*b^8/x^(13/3)-5/2*a*b^9/x^4-3/11*b^10/x^(11/3)","A"
2337,1,113,112,0.007000," ","int((a+b*x^(1/3))^10/x^9,x)","-\frac{3 b^{10}}{14 x^{\frac{14}{3}}}-\frac{2 a \,b^{9}}{x^{5}}-\frac{135 a^{2} b^{8}}{16 x^{\frac{16}{3}}}-\frac{360 a^{3} b^{7}}{17 x^{\frac{17}{3}}}-\frac{35 a^{4} b^{6}}{x^{6}}-\frac{756 a^{5} b^{5}}{19 x^{\frac{19}{3}}}-\frac{63 a^{6} b^{4}}{2 x^{\frac{20}{3}}}-\frac{120 a^{7} b^{3}}{7 x^{7}}-\frac{135 a^{8} b^{2}}{22 x^{\frac{22}{3}}}-\frac{30 a^{9} b}{23 x^{\frac{23}{3}}}-\frac{a^{10}}{8 x^{8}}"," ",0,"-1/8*a^10/x^8-30/23*a^9*b/x^(23/3)-135/22*a^8*b^2/x^(22/3)-120/7*a^7*b^3/x^7-63/2*a^6*b^4/x^(20/3)-756/19*a^5*b^5/x^(19/3)-35*a^4*b^6/x^6-360/17*a^3*b^7/x^(17/3)-135/16*a^2*b^8/x^(16/3)-2*a*b^9/x^5-3/14*b^10/x^(14/3)","A"
2338,1,113,112,0.009000," ","int((a+b*x^(1/3))^10/x^10,x)","-\frac{3 b^{10}}{17 x^{\frac{17}{3}}}-\frac{5 a \,b^{9}}{3 x^{6}}-\frac{135 a^{2} b^{8}}{19 x^{\frac{19}{3}}}-\frac{18 a^{3} b^{7}}{x^{\frac{20}{3}}}-\frac{30 a^{4} b^{6}}{x^{7}}-\frac{378 a^{5} b^{5}}{11 x^{\frac{22}{3}}}-\frac{630 a^{6} b^{4}}{23 x^{\frac{23}{3}}}-\frac{15 a^{7} b^{3}}{x^{8}}-\frac{27 a^{8} b^{2}}{5 x^{\frac{25}{3}}}-\frac{15 a^{9} b}{13 x^{\frac{26}{3}}}-\frac{a^{10}}{9 x^{9}}"," ",0,"-1/9*a^10/x^9-15/13*a^9*b/x^(26/3)-27/5*a^8*b^2/x^(25/3)-15*a^7*b^3/x^8-630/23*a^6*b^4/x^(23/3)-378/11*a^5*b^5/x^(22/3)-30*a^4*b^6/x^7-18*a^3*b^7/x^(20/3)-135/19*a^2*b^8/x^(19/3)-5/3*a*b^9/x^6-3/17*b^10/x^(17/3)","A"
2339,1,168,167,0.003000," ","int((a+b*x^(1/3))^15*x^5,x)","\frac{b^{15} x^{11}}{11}+\frac{45 a \,b^{14} x^{\frac{32}{3}}}{32}+\frac{315 a^{2} b^{13} x^{\frac{31}{3}}}{31}+\frac{91 a^{3} b^{12} x^{10}}{2}+\frac{4095 a^{4} b^{11} x^{\frac{29}{3}}}{29}+\frac{1287 a^{5} b^{10} x^{\frac{28}{3}}}{4}+\frac{5005 a^{6} b^{9} x^{9}}{9}+\frac{1485 a^{7} b^{8} x^{\frac{26}{3}}}{2}+\frac{3861 a^{8} b^{7} x^{\frac{25}{3}}}{5}+\frac{5005 a^{9} b^{6} x^{8}}{8}+\frac{9009 a^{10} b^{5} x^{\frac{23}{3}}}{23}+\frac{4095 a^{11} b^{4} x^{\frac{22}{3}}}{22}+65 a^{12} b^{3} x^{7}+\frac{63 a^{13} b^{2} x^{\frac{20}{3}}}{4}+\frac{45 a^{14} b \,x^{\frac{19}{3}}}{19}+\frac{a^{15} x^{6}}{6}"," ",0,"1/6*a^15*x^6+45/19*a^14*b*x^(19/3)+63/4*a^13*b^2*x^(20/3)+65*a^12*b^3*x^7+4095/22*a^11*b^4*x^(22/3)+9009/23*a^10*b^5*x^(23/3)+5005/8*a^9*b^6*x^8+3861/5*a^8*b^7*x^(25/3)+1485/2*a^7*b^8*x^(26/3)+5005/9*a^6*b^9*x^9+1287/4*a^5*b^10*x^(28/3)+4095/29*a^4*b^11*x^(29/3)+91/2*a^3*b^12*x^10+315/31*a^2*b^13*x^(31/3)+45/32*a*b^14*x^(32/3)+1/11*b^15*x^11","A"
2340,1,168,167,0.003000," ","int((a+b*x^(1/3))^15*x^4,x)","\frac{b^{15} x^{10}}{10}+\frac{45 a \,b^{14} x^{\frac{29}{3}}}{29}+\frac{45 a^{2} b^{13} x^{\frac{28}{3}}}{4}+\frac{455 a^{3} b^{12} x^{9}}{9}+\frac{315 a^{4} b^{11} x^{\frac{26}{3}}}{2}+\frac{9009 a^{5} b^{10} x^{\frac{25}{3}}}{25}+\frac{5005 a^{6} b^{9} x^{8}}{8}+\frac{19305 a^{7} b^{8} x^{\frac{23}{3}}}{23}+\frac{1755 a^{8} b^{7} x^{\frac{22}{3}}}{2}+715 a^{9} b^{6} x^{7}+\frac{9009 a^{10} b^{5} x^{\frac{20}{3}}}{20}+\frac{4095 a^{11} b^{4} x^{\frac{19}{3}}}{19}+\frac{455 a^{12} b^{3} x^{6}}{6}+\frac{315 a^{13} b^{2} x^{\frac{17}{3}}}{17}+\frac{45 a^{14} b \,x^{\frac{16}{3}}}{16}+\frac{a^{15} x^{5}}{5}"," ",0,"1/5*a^15*x^5+45/16*a^14*b*x^(16/3)+315/17*a^13*b^2*x^(17/3)+455/6*a^12*b^3*x^6+4095/19*a^11*b^4*x^(19/3)+9009/20*a^10*b^5*x^(20/3)+715*a^9*b^6*x^7+1755/2*a^8*b^7*x^(22/3)+19305/23*a^7*b^8*x^(23/3)+5005/8*a^6*b^9*x^8+9009/25*a^5*b^10*x^(25/3)+315/2*a^4*b^11*x^(26/3)+455/9*a^3*b^12*x^9+45/4*a^2*b^13*x^(28/3)+45/29*a*b^14*x^(29/3)+1/10*b^15*x^10","A"
2341,1,168,200,0.002000," ","int((a+b*x^(1/3))^15*x^3,x)","\frac{b^{15} x^{9}}{9}+\frac{45 a \,b^{14} x^{\frac{26}{3}}}{26}+\frac{63 a^{2} b^{13} x^{\frac{25}{3}}}{5}+\frac{455 a^{3} b^{12} x^{8}}{8}+\frac{4095 a^{4} b^{11} x^{\frac{23}{3}}}{23}+\frac{819 a^{5} b^{10} x^{\frac{22}{3}}}{2}+715 a^{6} b^{9} x^{7}+\frac{3861 a^{7} b^{8} x^{\frac{20}{3}}}{4}+\frac{19305 a^{8} b^{7} x^{\frac{19}{3}}}{19}+\frac{5005 a^{9} b^{6} x^{6}}{6}+\frac{9009 a^{10} b^{5} x^{\frac{17}{3}}}{17}+\frac{4095 a^{11} b^{4} x^{\frac{16}{3}}}{16}+91 a^{12} b^{3} x^{5}+\frac{45 a^{13} b^{2} x^{\frac{14}{3}}}{2}+\frac{45 a^{14} b \,x^{\frac{13}{3}}}{13}+\frac{a^{15} x^{4}}{4}"," ",0,"1/9*b^15*x^9+45/26*a*b^14*x^(26/3)+63/5*a^2*b^13*x^(25/3)+455/8*a^3*b^12*x^8+4095/23*a^4*b^11*x^(23/3)+819/2*a^5*b^10*x^(22/3)+715*a^6*b^9*x^7+3861/4*a^7*b^8*x^(20/3)+19305/19*a^8*b^7*x^(19/3)+5005/6*a^9*b^6*x^6+9009/17*a^10*b^5*x^(17/3)+4095/16*a^11*b^4*x^(16/3)+91*a^12*b^3*x^5+45/2*a^13*b^2*x^(14/3)+45/13*a^14*b*x^(13/3)+1/4*a^15*x^4","A"
2342,1,168,149,0.004000," ","int((a+b*x^(1/3))^15*x^2,x)","\frac{b^{15} x^{8}}{8}+\frac{45 a \,b^{14} x^{\frac{23}{3}}}{23}+\frac{315 a^{2} b^{13} x^{\frac{22}{3}}}{22}+65 a^{3} b^{12} x^{7}+\frac{819 a^{4} b^{11} x^{\frac{20}{3}}}{4}+\frac{9009 a^{5} b^{10} x^{\frac{19}{3}}}{19}+\frac{5005 a^{6} b^{9} x^{6}}{6}+\frac{19305 a^{7} b^{8} x^{\frac{17}{3}}}{17}+\frac{19305 a^{8} b^{7} x^{\frac{16}{3}}}{16}+1001 a^{9} b^{6} x^{5}+\frac{1287 a^{10} b^{5} x^{\frac{14}{3}}}{2}+315 a^{11} b^{4} x^{\frac{13}{3}}+\frac{455 a^{12} b^{3} x^{4}}{4}+\frac{315 a^{13} b^{2} x^{\frac{11}{3}}}{11}+\frac{9 a^{14} b \,x^{\frac{10}{3}}}{2}+\frac{a^{15} x^{3}}{3}"," ",0,"1/8*b^15*x^8+45/23*a*b^14*x^(23/3)+315/22*a^2*b^13*x^(22/3)+65*a^3*b^12*x^7+819/4*a^4*b^11*x^(20/3)+9009/19*a^5*b^10*x^(19/3)+5005/6*a^6*b^9*x^6+19305/17*a^7*b^8*x^(17/3)+19305/16*a^8*b^7*x^(16/3)+1001*a^9*b^6*x^5+1287/2*a^10*b^5*x^(14/3)+315*a^11*b^4*x^(13/3)+455/4*a^12*b^3*x^4+315/11*a^13*b^2*x^(11/3)+9/2*a^14*b*x^(10/3)+1/3*a^15*x^3","A"
2343,1,168,98,0.002000," ","int((a+b*x^(1/3))^15*x,x)","\frac{b^{15} x^{7}}{7}+\frac{9 a \,b^{14} x^{\frac{20}{3}}}{4}+\frac{315 a^{2} b^{13} x^{\frac{19}{3}}}{19}+\frac{455 a^{3} b^{12} x^{6}}{6}+\frac{4095 a^{4} b^{11} x^{\frac{17}{3}}}{17}+\frac{9009 a^{5} b^{10} x^{\frac{16}{3}}}{16}+1001 a^{6} b^{9} x^{5}+\frac{19305 a^{7} b^{8} x^{\frac{14}{3}}}{14}+1485 a^{8} b^{7} x^{\frac{13}{3}}+\frac{5005 a^{9} b^{6} x^{4}}{4}+819 a^{10} b^{5} x^{\frac{11}{3}}+\frac{819 a^{11} b^{4} x^{\frac{10}{3}}}{2}+\frac{455 a^{12} b^{3} x^{3}}{3}+\frac{315 a^{13} b^{2} x^{\frac{8}{3}}}{8}+\frac{45 a^{14} b \,x^{\frac{7}{3}}}{7}+\frac{a^{15} x^{2}}{2}"," ",0,"1/7*b^15*x^7+9/4*a*b^14*x^(20/3)+315/19*a^2*b^13*x^(19/3)+455/6*a^3*b^12*x^6+4095/17*a^4*b^11*x^(17/3)+9009/16*a^5*b^10*x^(16/3)+1001*a^6*b^9*x^5+19305/14*a^7*b^8*x^(14/3)+1485*a^8*b^7*x^(13/3)+5005/4*x^4*a^9*b^6+819*a^10*b^5*x^(11/3)+819/2*a^11*b^4*x^(10/3)+455/3*a^12*b^3*x^3+315/8*a^13*b^2*x^(8/3)+45/7*a^14*b*x^(7/3)+1/2*a^15*x^2","A"
2344,1,165,47,0.006000," ","int((a+b*x^(1/3))^15,x)","\frac{b^{15} x^{6}}{6}+\frac{45 a \,b^{14} x^{\frac{17}{3}}}{17}+\frac{315 a^{2} b^{13} x^{\frac{16}{3}}}{16}+91 a^{3} b^{12} x^{5}+\frac{585 a^{4} b^{11} x^{\frac{14}{3}}}{2}+693 a^{5} b^{10} x^{\frac{13}{3}}+\frac{5005 a^{6} b^{9} x^{4}}{4}+1755 a^{7} b^{8} x^{\frac{11}{3}}+\frac{3861 a^{8} b^{7} x^{\frac{10}{3}}}{2}+\frac{5005 a^{9} b^{6} x^{3}}{3}+\frac{9009 a^{10} b^{5} x^{\frac{8}{3}}}{8}+585 a^{11} b^{4} x^{\frac{7}{3}}+\frac{455 a^{12} b^{3} x^{2}}{2}+63 a^{13} b^{2} x^{\frac{5}{3}}+\frac{45 a^{14} b \,x^{\frac{4}{3}}}{4}+a^{15} x"," ",0,"a^15*x+1/6*b^15*x^6+91*a^3*b^12*x^5+5005/3*a^9*b^6*x^3+45/4*b*a^14*x^(4/3)+63*b^2*a^13*x^(5/3)+455/2*b^3*x^2*a^12+585*b^4*a^11*x^(7/3)+9009/8*b^5*a^10*x^(8/3)+3861/2*b^7*a^8*x^(10/3)+1755*b^8*a^7*x^(11/3)+5005/4*b^9*x^4*a^6+693*b^10*a^5*x^(13/3)+585/2*b^11*a^4*x^(14/3)+315/16*b^13*a^2*x^(16/3)+45/17*b^14*a*x^(17/3)","B"
2345,1,164,163,0.006000," ","int((a+b*x^(1/3))^15/x,x)","\frac{b^{15} x^{5}}{5}+\frac{45 a \,b^{14} x^{\frac{14}{3}}}{14}+\frac{315 a^{2} b^{13} x^{\frac{13}{3}}}{13}+\frac{455 a^{3} b^{12} x^{4}}{4}+\frac{4095 a^{4} b^{11} x^{\frac{11}{3}}}{11}+\frac{9009 a^{5} b^{10} x^{\frac{10}{3}}}{10}+\frac{5005 a^{6} b^{9} x^{3}}{3}+\frac{19305 a^{7} b^{8} x^{\frac{8}{3}}}{8}+\frac{19305 a^{8} b^{7} x^{\frac{7}{3}}}{7}+\frac{5005 a^{9} b^{6} x^{2}}{2}+\frac{9009 a^{10} b^{5} x^{\frac{5}{3}}}{5}+\frac{4095 a^{11} b^{4} x^{\frac{4}{3}}}{4}+a^{15} \ln \left(x \right)+455 a^{12} b^{3} x +\frac{315 a^{13} b^{2} x^{\frac{2}{3}}}{2}+45 a^{14} b \,x^{\frac{1}{3}}"," ",0,"45*a^14*b*x^(1/3)+315/2*a^13*b^2*x^(2/3)+455*a^12*b^3*x+4095/4*a^11*b^4*x^(4/3)+9009/5*a^10*b^5*x^(5/3)+5005/2*a^9*b^6*x^2+19305/7*a^8*b^7*x^(7/3)+19305/8*a^7*b^8*x^(8/3)+5005/3*a^6*b^9*x^3+9009/10*a^5*b^10*x^(10/3)+4095/11*a^4*b^11*x^(11/3)+455/4*a^3*b^12*x^4+315/13*a^2*b^13*x^(13/3)+45/14*a*b^14*x^(14/3)+1/5*b^15*x^5+a^15*ln(x)","A"
2346,1,165,164,0.010000," ","int((a+b*x^(1/3))^15/x^2,x)","\frac{b^{15} x^{4}}{4}+\frac{45 a \,b^{14} x^{\frac{11}{3}}}{11}+\frac{63 a^{2} b^{13} x^{\frac{10}{3}}}{2}+\frac{455 a^{3} b^{12} x^{3}}{3}+\frac{4095 a^{4} b^{11} x^{\frac{8}{3}}}{8}+1287 a^{5} b^{10} x^{\frac{7}{3}}+\frac{5005 a^{6} b^{9} x^{2}}{2}+3861 a^{7} b^{8} x^{\frac{5}{3}}+\frac{19305 a^{8} b^{7} x^{\frac{4}{3}}}{4}+455 a^{12} b^{3} \ln \left(x \right)+5005 a^{9} b^{6} x +\frac{9009 a^{10} b^{5} x^{\frac{2}{3}}}{2}+4095 a^{11} b^{4} x^{\frac{1}{3}}-\frac{315 a^{13} b^{2}}{x^{\frac{1}{3}}}-\frac{45 a^{14} b}{2 x^{\frac{2}{3}}}-\frac{a^{15}}{x}"," ",0,"-a^15/x-45/2*a^14*b/x^(2/3)-315*a^13*b^2/x^(1/3)+4095*a^11*b^4*x^(1/3)+9009/2*a^10*b^5*x^(2/3)+5005*a^9*b^6*x+19305/4*a^8*b^7*x^(4/3)+3861*a^7*b^8*x^(5/3)+5005/2*a^6*b^9*x^2+1287*a^5*b^10*x^(7/3)+4095/8*a^4*b^11*x^(8/3)+455/3*a^3*b^12*x^3+63/2*a^2*b^13*x^(10/3)+45/11*a*b^14*x^(11/3)+1/4*b^15*x^4+455*a^12*b^3*ln(x)","A"
2347,1,165,164,0.010000," ","int((a+b*x^(1/3))^15/x^3,x)","\frac{b^{15} x^{3}}{3}+\frac{45 a \,b^{14} x^{\frac{8}{3}}}{8}+45 a^{2} b^{13} x^{\frac{7}{3}}+\frac{455 a^{3} b^{12} x^{2}}{2}+819 a^{4} b^{11} x^{\frac{5}{3}}+\frac{9009 a^{5} b^{10} x^{\frac{4}{3}}}{4}+5005 a^{9} b^{6} \ln \left(x \right)+5005 a^{6} b^{9} x +\frac{19305 a^{7} b^{8} x^{\frac{2}{3}}}{2}+19305 a^{8} b^{7} x^{\frac{1}{3}}-\frac{9009 a^{10} b^{5}}{x^{\frac{1}{3}}}-\frac{4095 a^{11} b^{4}}{2 x^{\frac{2}{3}}}-\frac{455 a^{12} b^{3}}{x}-\frac{315 a^{13} b^{2}}{4 x^{\frac{4}{3}}}-\frac{9 a^{14} b}{x^{\frac{5}{3}}}-\frac{a^{15}}{2 x^{2}}"," ",0,"-1/2*a^15/x^2-9*a^14*b/x^(5/3)-315/4*a^13*b^2/x^(4/3)-455*a^12*b^3/x-4095/2*a^11*b^4/x^(2/3)-9009*a^10*b^5/x^(1/3)+19305*a^8*b^7*x^(1/3)+19305/2*a^7*b^8*x^(2/3)+5005*a^6*b^9*x+9009/4*a^5*b^10*x^(4/3)+819*a^4*b^11*x^(5/3)+455/2*a^3*b^12*x^2+45*a^2*b^13*x^(7/3)+45/8*a*b^14*x^(8/3)+1/3*b^15*x^3+5005*a^9*b^6*ln(x)","A"
2348,1,165,164,0.010000," ","int((a+b*x^(1/3))^15/x^4,x)","\frac{b^{15} x^{2}}{2}+9 a \,b^{14} x^{\frac{5}{3}}+\frac{315 a^{2} b^{13} x^{\frac{4}{3}}}{4}+5005 a^{6} b^{9} \ln \left(x \right)+455 a^{3} b^{12} x +\frac{4095 a^{4} b^{11} x^{\frac{2}{3}}}{2}+9009 a^{5} b^{10} x^{\frac{1}{3}}-\frac{19305 a^{7} b^{8}}{x^{\frac{1}{3}}}-\frac{19305 a^{8} b^{7}}{2 x^{\frac{2}{3}}}-\frac{5005 a^{9} b^{6}}{x}-\frac{9009 a^{10} b^{5}}{4 x^{\frac{4}{3}}}-\frac{819 a^{11} b^{4}}{x^{\frac{5}{3}}}-\frac{455 a^{12} b^{3}}{2 x^{2}}-\frac{45 a^{13} b^{2}}{x^{\frac{7}{3}}}-\frac{45 a^{14} b}{8 x^{\frac{8}{3}}}-\frac{a^{15}}{3 x^{3}}"," ",0,"-1/3*a^15/x^3-45/8*a^14*b/x^(8/3)-45*a^13*b^2/x^(7/3)-455/2*a^12*b^3/x^2-819*a^11*b^4/x^(5/3)-9009/4*a^10*b^5/x^(4/3)-5005*a^9*b^6/x-19305/2*a^8*b^7/x^(2/3)-19305*a^7*b^8/x^(1/3)+9009*a^5*b^10*x^(1/3)+4095/2*a^4*b^11*x^(2/3)+455*a^3*b^12*x+315/4*a^2*b^13*x^(4/3)+9*a*b^14*x^(5/3)+1/2*b^15*x^2+5005*a^6*b^9*ln(x)","A"
2349,1,166,165,0.013000," ","int((a+b*x^(1/3))^15/x^6,x)","b^{15} \ln \left(x \right)-\frac{45 a \,b^{14}}{x^{\frac{1}{3}}}-\frac{315 a^{2} b^{13}}{2 x^{\frac{2}{3}}}-\frac{455 a^{3} b^{12}}{x}-\frac{4095 a^{4} b^{11}}{4 x^{\frac{4}{3}}}-\frac{9009 a^{5} b^{10}}{5 x^{\frac{5}{3}}}-\frac{5005 a^{6} b^{9}}{2 x^{2}}-\frac{19305 a^{7} b^{8}}{7 x^{\frac{7}{3}}}-\frac{19305 a^{8} b^{7}}{8 x^{\frac{8}{3}}}-\frac{5005 a^{9} b^{6}}{3 x^{3}}-\frac{9009 a^{10} b^{5}}{10 x^{\frac{10}{3}}}-\frac{4095 a^{11} b^{4}}{11 x^{\frac{11}{3}}}-\frac{455 a^{12} b^{3}}{4 x^{4}}-\frac{315 a^{13} b^{2}}{13 x^{\frac{13}{3}}}-\frac{45 a^{14} b}{14 x^{\frac{14}{3}}}-\frac{a^{15}}{5 x^{5}}"," ",0,"-1/5*a^15/x^5-45/14*a^14*b/x^(14/3)-315/13*a^13*b^2/x^(13/3)-455/4*a^12*b^3/x^4-4095/11*a^11*b^4/x^(11/3)-9009/10*a^10*b^5/x^(10/3)-5005/3*a^9*b^6/x^3-19305/8*a^8*b^7/x^(8/3)-19305/7*a^7*b^8/x^(7/3)-5005/2*a^6*b^9/x^2-9009/5*a^5*b^10/x^(5/3)-4095/4*a^4*b^11/x^(4/3)-455*a^3*b^12/x-315/2*a^2*b^13/x^(2/3)-45*a*b^14/x^(1/3)+b^15*ln(x)","A"
2350,1,168,56,0.008000," ","int((a+b*x^(1/3))^15/x^7,x)","-\frac{b^{15}}{x}-\frac{45 a \,b^{14}}{4 x^{\frac{4}{3}}}-\frac{63 a^{2} b^{13}}{x^{\frac{5}{3}}}-\frac{455 a^{3} b^{12}}{2 x^{2}}-\frac{585 a^{4} b^{11}}{x^{\frac{7}{3}}}-\frac{9009 a^{5} b^{10}}{8 x^{\frac{8}{3}}}-\frac{5005 a^{6} b^{9}}{3 x^{3}}-\frac{3861 a^{7} b^{8}}{2 x^{\frac{10}{3}}}-\frac{1755 a^{8} b^{7}}{x^{\frac{11}{3}}}-\frac{5005 a^{9} b^{6}}{4 x^{4}}-\frac{693 a^{10} b^{5}}{x^{\frac{13}{3}}}-\frac{585 a^{11} b^{4}}{2 x^{\frac{14}{3}}}-\frac{91 a^{12} b^{3}}{x^{5}}-\frac{315 a^{13} b^{2}}{16 x^{\frac{16}{3}}}-\frac{45 a^{14} b}{17 x^{\frac{17}{3}}}-\frac{a^{15}}{6 x^{6}}"," ",0,"-63*a^2*b^13/x^(5/3)-45/4*a*b^14/x^(4/3)-585/2*a^11*b^4/x^(14/3)-45/17*a^14*b/x^(17/3)-315/16*a^13*b^2/x^(16/3)-b^15/x-91*a^12*b^3/x^5-9009/8*a^5*b^10/x^(8/3)-693*a^10*b^5/x^(13/3)-5005/3*a^6*b^9/x^3-1/6*a^15/x^6-585*a^4*b^11/x^(7/3)-455/2*a^3*b^12/x^2-5005/4*a^9*b^6/x^4-3861/2*a^7*b^8/x^(10/3)-1755*a^8*b^7/x^(11/3)","B"
2351,1,168,116,0.007000," ","int((a+b*x^(1/3))^15/x^8,x)","-\frac{b^{15}}{2 x^{2}}-\frac{45 a \,b^{14}}{7 x^{\frac{7}{3}}}-\frac{315 a^{2} b^{13}}{8 x^{\frac{8}{3}}}-\frac{455 a^{3} b^{12}}{3 x^{3}}-\frac{819 a^{4} b^{11}}{2 x^{\frac{10}{3}}}-\frac{819 a^{5} b^{10}}{x^{\frac{11}{3}}}-\frac{5005 a^{6} b^{9}}{4 x^{4}}-\frac{1485 a^{7} b^{8}}{x^{\frac{13}{3}}}-\frac{19305 a^{8} b^{7}}{14 x^{\frac{14}{3}}}-\frac{1001 a^{9} b^{6}}{x^{5}}-\frac{9009 a^{10} b^{5}}{16 x^{\frac{16}{3}}}-\frac{4095 a^{11} b^{4}}{17 x^{\frac{17}{3}}}-\frac{455 a^{12} b^{3}}{6 x^{6}}-\frac{315 a^{13} b^{2}}{19 x^{\frac{19}{3}}}-\frac{9 a^{14} b}{4 x^{\frac{20}{3}}}-\frac{a^{15}}{7 x^{7}}"," ",0,"-19305/14*a^8*b^7/x^(14/3)-9009/16*a^10*b^5/x^(16/3)-315/8*a^2*b^13/x^(8/3)-4095/17*a^11*b^4/x^(17/3)-1485*a^7*b^8/x^(13/3)-455/6*a^12*b^3/x^6-9/4*a^14*b/x^(20/3)-455/3*a^3*b^12/x^3-45/7*a*b^14/x^(7/3)-1001*a^9*b^6/x^5-1/2*b^15/x^2-5005/4*a^6*b^9/x^4-1/7*a^15/x^7-315/19*a^13*b^2/x^(19/3)-819/2*a^4*b^11/x^(10/3)-819*a^5*b^10/x^(11/3)","A"
2352,1,168,176,0.008000," ","int((a+b*x^(1/3))^15/x^9,x)","-\frac{b^{15}}{3 x^{3}}-\frac{9 a \,b^{14}}{2 x^{\frac{10}{3}}}-\frac{315 a^{2} b^{13}}{11 x^{\frac{11}{3}}}-\frac{455 a^{3} b^{12}}{4 x^{4}}-\frac{315 a^{4} b^{11}}{x^{\frac{13}{3}}}-\frac{1287 a^{5} b^{10}}{2 x^{\frac{14}{3}}}-\frac{1001 a^{6} b^{9}}{x^{5}}-\frac{19305 a^{7} b^{8}}{16 x^{\frac{16}{3}}}-\frac{19305 a^{8} b^{7}}{17 x^{\frac{17}{3}}}-\frac{5005 a^{9} b^{6}}{6 x^{6}}-\frac{9009 a^{10} b^{5}}{19 x^{\frac{19}{3}}}-\frac{819 a^{11} b^{4}}{4 x^{\frac{20}{3}}}-\frac{65 a^{12} b^{3}}{x^{7}}-\frac{315 a^{13} b^{2}}{22 x^{\frac{22}{3}}}-\frac{45 a^{14} b}{23 x^{\frac{23}{3}}}-\frac{a^{15}}{8 x^{8}}"," ",0,"-1287/2*a^5*b^10/x^(14/3)-19305/16*a^7*b^8/x^(16/3)-315/22*a^13*b^2/x^(22/3)-9009/19*a^10*b^5/x^(19/3)-5005/6*a^9*b^6/x^6-45/23*a^14*b/x^(23/3)-315*a^4*b^11/x^(13/3)-819/4*a^11*b^4/x^(20/3)-1/8*a^15/x^8-1/3*b^15/x^3-19305/17*a^8*b^7/x^(17/3)-65*a^12*b^3/x^7-455/4*a^3*b^12/x^4-9/2*a*b^14/x^(10/3)-315/11*a^2*b^13/x^(11/3)-1001*a^6*b^9/x^5","A"
2353,1,168,167,0.009000," ","int((a+b*x^(1/3))^15/x^10,x)","-\frac{b^{15}}{4 x^{4}}-\frac{45 a \,b^{14}}{13 x^{\frac{13}{3}}}-\frac{45 a^{2} b^{13}}{2 x^{\frac{14}{3}}}-\frac{91 a^{3} b^{12}}{x^{5}}-\frac{4095 a^{4} b^{11}}{16 x^{\frac{16}{3}}}-\frac{9009 a^{5} b^{10}}{17 x^{\frac{17}{3}}}-\frac{5005 a^{6} b^{9}}{6 x^{6}}-\frac{19305 a^{7} b^{8}}{19 x^{\frac{19}{3}}}-\frac{3861 a^{8} b^{7}}{4 x^{\frac{20}{3}}}-\frac{715 a^{9} b^{6}}{x^{7}}-\frac{819 a^{10} b^{5}}{2 x^{\frac{22}{3}}}-\frac{4095 a^{11} b^{4}}{23 x^{\frac{23}{3}}}-\frac{455 a^{12} b^{3}}{8 x^{8}}-\frac{63 a^{13} b^{2}}{5 x^{\frac{25}{3}}}-\frac{45 a^{14} b}{26 x^{\frac{26}{3}}}-\frac{a^{15}}{9 x^{9}}"," ",0,"-1/9*a^15/x^9-45/26*a^14*b/x^(26/3)-63/5*a^13*b^2/x^(25/3)-455/8*a^12*b^3/x^8-4095/23*a^11*b^4/x^(23/3)-819/2*a^10*b^5/x^(22/3)-715*a^9*b^6/x^7-3861/4*a^8*b^7/x^(20/3)-19305/19*a^7*b^8/x^(19/3)-5005/6*a^6*b^9/x^6-9009/17*a^5*b^10/x^(17/3)-4095/16*a^4*b^11/x^(16/3)-91*a^3*b^12/x^5-45/2*a^2*b^13/x^(14/3)-45/13*a*b^14/x^(13/3)-1/4*b^15/x^4","A"
2354,1,168,167,0.007000," ","int((a+b*x^(1/3))^15/x^11,x)","-\frac{b^{15}}{5 x^{5}}-\frac{45 a \,b^{14}}{16 x^{\frac{16}{3}}}-\frac{315 a^{2} b^{13}}{17 x^{\frac{17}{3}}}-\frac{455 a^{3} b^{12}}{6 x^{6}}-\frac{4095 a^{4} b^{11}}{19 x^{\frac{19}{3}}}-\frac{9009 a^{5} b^{10}}{20 x^{\frac{20}{3}}}-\frac{715 a^{6} b^{9}}{x^{7}}-\frac{1755 a^{7} b^{8}}{2 x^{\frac{22}{3}}}-\frac{19305 a^{8} b^{7}}{23 x^{\frac{23}{3}}}-\frac{5005 a^{9} b^{6}}{8 x^{8}}-\frac{9009 a^{10} b^{5}}{25 x^{\frac{25}{3}}}-\frac{315 a^{11} b^{4}}{2 x^{\frac{26}{3}}}-\frac{455 a^{12} b^{3}}{9 x^{9}}-\frac{45 a^{13} b^{2}}{4 x^{\frac{28}{3}}}-\frac{45 a^{14} b}{29 x^{\frac{29}{3}}}-\frac{a^{15}}{10 x^{10}}"," ",0,"-1/10*a^15/x^10-45/29*a^14*b/x^(29/3)-45/4*a^13*b^2/x^(28/3)-455/9*a^12*b^3/x^9-315/2*a^11*b^4/x^(26/3)-9009/25*a^10*b^5/x^(25/3)-5005/8*a^9*b^6/x^8-19305/23*a^8*b^7/x^(23/3)-1755/2*a^7*b^8/x^(22/3)-715*a^6*b^9/x^7-9009/20*a^5*b^10/x^(20/3)-4095/19*a^4*b^11/x^(19/3)-455/6*a^3*b^12/x^6-315/17*a^2*b^13/x^(17/3)-45/16*a*b^14/x^(16/3)-1/5*b^15/x^5","A"
2355,1,168,167,0.009000," ","int((a+b*x^(1/3))^15/x^12,x)","-\frac{b^{15}}{6 x^{6}}-\frac{45 a \,b^{14}}{19 x^{\frac{19}{3}}}-\frac{63 a^{2} b^{13}}{4 x^{\frac{20}{3}}}-\frac{65 a^{3} b^{12}}{x^{7}}-\frac{4095 a^{4} b^{11}}{22 x^{\frac{22}{3}}}-\frac{9009 a^{5} b^{10}}{23 x^{\frac{23}{3}}}-\frac{5005 a^{6} b^{9}}{8 x^{8}}-\frac{3861 a^{7} b^{8}}{5 x^{\frac{25}{3}}}-\frac{1485 a^{8} b^{7}}{2 x^{\frac{26}{3}}}-\frac{5005 a^{9} b^{6}}{9 x^{9}}-\frac{1287 a^{10} b^{5}}{4 x^{\frac{28}{3}}}-\frac{4095 a^{11} b^{4}}{29 x^{\frac{29}{3}}}-\frac{91 a^{12} b^{3}}{2 x^{10}}-\frac{315 a^{13} b^{2}}{31 x^{\frac{31}{3}}}-\frac{45 a^{14} b}{32 x^{\frac{32}{3}}}-\frac{a^{15}}{11 x^{11}}"," ",0,"-1/11*a^15/x^11-45/32*a^14*b/x^(32/3)-315/31*a^13*b^2/x^(31/3)-91/2*a^12*b^3/x^10-4095/29*a^11*b^4/x^(29/3)-1287/4*a^10*b^5/x^(28/3)-5005/9*a^9*b^6/x^9-1485/2*a^8*b^7/x^(26/3)-3861/5*a^7*b^8/x^(25/3)-5005/8*a^6*b^9/x^8-9009/23*a^5*b^10/x^(23/3)-4095/22*a^4*b^11/x^(22/3)-65*a^3*b^12/x^7-63/4*a^2*b^13/x^(20/3)-45/19*a*b^14/x^(19/3)-1/6*b^15/x^6","A"
2356,1,131,130,0.005000," ","int(x^3/(a+b*x^(1/3)),x)","\frac{3 x^{\frac{11}{3}}}{11 b}-\frac{3 a \,x^{\frac{10}{3}}}{10 b^{2}}+\frac{a^{2} x^{3}}{3 b^{3}}-\frac{3 a^{3} x^{\frac{8}{3}}}{8 b^{4}}+\frac{3 a^{4} x^{\frac{7}{3}}}{7 b^{5}}-\frac{a^{5} x^{2}}{2 b^{6}}+\frac{3 a^{6} x^{\frac{5}{3}}}{5 b^{7}}-\frac{3 a^{7} x^{\frac{4}{3}}}{4 b^{8}}-\frac{3 a^{11} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{b^{12}}+\frac{a^{8} x}{b^{9}}-\frac{3 a^{9} x^{\frac{2}{3}}}{2 b^{10}}+\frac{3 a^{10} x^{\frac{1}{3}}}{b^{11}}"," ",0,"3*a^10*x^(1/3)/b^11-3/2*a^9*x^(2/3)/b^10+a^8*x/b^9-3/4*a^7*x^(4/3)/b^8+3/5*a^6*x^(5/3)/b^7-1/2*a^5*x^2/b^6+3/7*a^4*x^(7/3)/b^5-3/8*a^3*x^(8/3)/b^4+1/3*a^2*x^3/b^3-3/10*a*x^(10/3)/b^2+3/11*x^(11/3)/b-3*a^11*ln(a+b*x^(1/3))/b^12","A"
2357,1,99,98,0.005000," ","int(x^2/(b*x^(1/3)+a),x)","\frac{3 x^{\frac{8}{3}}}{8 b}-\frac{3 a \,x^{\frac{7}{3}}}{7 b^{2}}+\frac{a^{2} x^{2}}{2 b^{3}}-\frac{3 a^{3} x^{\frac{5}{3}}}{5 b^{4}}+\frac{3 a^{4} x^{\frac{4}{3}}}{4 b^{5}}+\frac{3 a^{8} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{b^{9}}-\frac{a^{5} x}{b^{6}}+\frac{3 a^{6} x^{\frac{2}{3}}}{2 b^{7}}-\frac{3 a^{7} x^{\frac{1}{3}}}{b^{8}}"," ",0,"-3*a^7*x^(1/3)/b^8+3/2*a^6*x^(2/3)/b^7-a^5/b^6*x+3/4*a^4*x^(4/3)/b^5-3/5*a^3*x^(5/3)/b^4+1/2*a^2*x^2/b^3-3/7*a*x^(7/3)/b^2+3/8*x^(8/3)/b+3*a^8*ln(b*x^(1/3)+a)/b^9","A"
2358,1,65,64,0.004000," ","int(x/(b*x^(1/3)+a),x)","\frac{3 x^{\frac{5}{3}}}{5 b}-\frac{3 a \,x^{\frac{4}{3}}}{4 b^{2}}-\frac{3 a^{5} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{b^{6}}+\frac{a^{2} x}{b^{3}}-\frac{3 a^{3} x^{\frac{2}{3}}}{2 b^{4}}+\frac{3 a^{4} x^{\frac{1}{3}}}{b^{5}}"," ",0,"3*a^4*x^(1/3)/b^5-3/2*a^3*x^(2/3)/b^4+a^2*x/b^3-3/4*a*x^(4/3)/b^2+3/5*x^(5/3)/b-3*a^5*ln(b*x^(1/3)+a)/b^6","A"
2359,1,79,34,0.016000," ","int(1/(b*x^(1/3)+a),x)","\frac{2 a^{2} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{b^{3}}-\frac{a^{2} \ln \left(b^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+a^{2}\right)}{b^{3}}+\frac{a^{2} \ln \left(b^{3} x +a^{3}\right)}{b^{3}}+\frac{3 x^{\frac{2}{3}}}{2 b}-\frac{3 a \,x^{\frac{1}{3}}}{b^{2}}"," ",0,"a^2*ln(b^3*x+a^3)/b^3+3/2*x^(2/3)/b+2*a^2*ln(b*x^(1/3)+a)/b^3-1/b^3*a^2*ln(b^2*x^(2/3)-a*b*x^(1/3)+a^2)-3*a*x^(1/3)/b^2","B"
2360,1,21,20,0.001000," ","int(1/(b*x^(1/3)+a)/x,x)","\frac{\ln \left(x \right)}{a}-\frac{3 \ln \left(b \,x^{\frac{1}{3}}+a \right)}{a}"," ",0,"-3*ln(b*x^(1/3)+a)/a+1/a*ln(x)","A"
2361,1,56,55,0.007000," ","int(1/(b*x^(1/3)+a)/x^2,x)","-\frac{b^{3} \ln \left(x \right)}{a^{4}}+\frac{3 b^{3} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{a^{4}}-\frac{3 b^{2}}{a^{3} x^{\frac{1}{3}}}+\frac{3 b}{2 a^{2} x^{\frac{2}{3}}}-\frac{1}{a x}"," ",0,"-1/a/x+3/2*b/a^2/x^(2/3)-3*b^2/a^3/x^(1/3)+3*b^3*ln(b*x^(1/3)+a)/a^4-1/a^4*b^3*ln(x)","A"
2362,1,87,86,0.010000," ","int(1/(b*x^(1/3)+a)/x^3,x)","\frac{b^{6} \ln \left(x \right)}{a^{7}}-\frac{3 b^{6} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{a^{7}}+\frac{3 b^{5}}{a^{6} x^{\frac{1}{3}}}-\frac{3 b^{4}}{2 a^{5} x^{\frac{2}{3}}}+\frac{b^{3}}{a^{4} x}-\frac{3 b^{2}}{4 a^{3} x^{\frac{4}{3}}}+\frac{3 b}{5 a^{2} x^{\frac{5}{3}}}-\frac{1}{2 a \,x^{2}}"," ",0,"-1/2/a/x^2+3/5*b/a^2/x^(5/3)-3/4*b^2/a^3/x^(4/3)+b^3/a^4/x-3/2*b^4/a^5/x^(2/3)+3*b^5/a^6/x^(1/3)-3*b^6*ln(b*x^(1/3)+a)/a^7+1/a^7*b^6*ln(x)","A"
2363,1,122,121,0.010000," ","int(1/(b*x^(1/3)+a)/x^4,x)","-\frac{b^{9} \ln \left(x \right)}{a^{10}}+\frac{3 b^{9} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{a^{10}}-\frac{3 b^{8}}{a^{9} x^{\frac{1}{3}}}+\frac{3 b^{7}}{2 a^{8} x^{\frac{2}{3}}}-\frac{b^{6}}{a^{7} x}+\frac{3 b^{5}}{4 a^{6} x^{\frac{4}{3}}}-\frac{3 b^{4}}{5 a^{5} x^{\frac{5}{3}}}+\frac{b^{3}}{2 a^{4} x^{2}}-\frac{3 b^{2}}{7 a^{3} x^{\frac{7}{3}}}+\frac{3 b}{8 a^{2} x^{\frac{8}{3}}}-\frac{1}{3 a \,x^{3}}"," ",0,"-1/3/a/x^3+3/8*b/a^2/x^(8/3)-3/7*b^2/a^3/x^(7/3)+1/2*b^3/a^4/x^2-3/5*b^4/a^5/x^(5/3)+3/4*b^5/a^6/x^(4/3)-b^6/a^7/x+3/2*b^7/a^8/x^(2/3)-3*b^8/a^9/x^(1/3)+3*b^9*ln(b*x^(1/3)+a)/a^10-b^9*ln(x)/a^10","A"
2364,1,16,15,0.002000," ","int(1/(2+b*x^(1/3))/x,x)","\frac{\ln \left(x \right)}{2}-\frac{3 \ln \left(b \,x^{\frac{1}{3}}+2\right)}{2}"," ",0,"-3/2*ln(2+b*x^(1/3))+1/2*ln(x)","A"
2365,1,138,137,0.011000," ","int(x^3/(b*x^(1/3)+a)^2,x)","\frac{3 x^{\frac{10}{3}}}{10 b^{2}}-\frac{2 a \,x^{3}}{3 b^{3}}+\frac{9 a^{2} x^{\frac{8}{3}}}{8 b^{4}}-\frac{12 a^{3} x^{\frac{7}{3}}}{7 b^{5}}+\frac{5 a^{4} x^{2}}{2 b^{6}}-\frac{18 a^{5} x^{\frac{5}{3}}}{5 b^{7}}+\frac{21 a^{6} x^{\frac{4}{3}}}{4 b^{8}}+\frac{3 a^{11}}{\left(b \,x^{\frac{1}{3}}+a \right) b^{12}}+\frac{33 a^{10} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{b^{12}}-\frac{8 a^{7} x}{b^{9}}+\frac{27 a^{8} x^{\frac{2}{3}}}{2 b^{10}}-\frac{30 a^{9} x^{\frac{1}{3}}}{b^{11}}"," ",0,"3*a^11/b^12/(b*x^(1/3)+a)-30*a^9*x^(1/3)/b^11+27/2*a^8*x^(2/3)/b^10-8*a^7*x/b^9+21/4*a^6*x^(4/3)/b^8-18/5*a^5*x^(5/3)/b^7+5/2*a^4*x^2/b^6-12/7*a^3*x^(7/3)/b^5+9/8*a^2*x^(8/3)/b^4-2/3*a*x^3/b^3+3/10*x^(10/3)/b^2+33*a^10*ln(b*x^(1/3)+a)/b^12","A"
2366,1,105,104,0.009000," ","int(x^2/(b*x^(1/3)+a)^2,x)","\frac{3 x^{\frac{7}{3}}}{7 b^{2}}-\frac{a \,x^{2}}{b^{3}}+\frac{9 a^{2} x^{\frac{5}{3}}}{5 b^{4}}-\frac{3 a^{3} x^{\frac{4}{3}}}{b^{5}}-\frac{3 a^{8}}{\left(b \,x^{\frac{1}{3}}+a \right) b^{9}}-\frac{24 a^{7} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{b^{9}}+\frac{5 a^{4} x}{b^{6}}-\frac{9 a^{5} x^{\frac{2}{3}}}{b^{7}}+\frac{21 a^{6} x^{\frac{1}{3}}}{b^{8}}"," ",0,"-3*a^8/b^9/(b*x^(1/3)+a)+21*a^6*x^(1/3)/b^8-9*a^5*x^(2/3)/b^7+5*a^4/b^6*x-3*a^3*x^(4/3)/b^5+9/5*a^2*x^(5/3)/b^4-a*x^2/b^3+3/7*x^(7/3)/b^2-24*a^7*ln(b*x^(1/3)+a)/b^9","A"
2367,1,72,71,0.007000," ","int(x/(b*x^(1/3)+a)^2,x)","\frac{3 x^{\frac{4}{3}}}{4 b^{2}}+\frac{3 a^{5}}{\left(b \,x^{\frac{1}{3}}+a \right) b^{6}}+\frac{15 a^{4} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{b^{6}}-\frac{2 a x}{b^{3}}+\frac{9 a^{2} x^{\frac{2}{3}}}{2 b^{4}}-\frac{12 a^{3} x^{\frac{1}{3}}}{b^{5}}"," ",0,"3*a^5/b^6/(b*x^(1/3)+a)-12*a^3*x^(1/3)/b^5+9/2*a^2*x^(2/3)/b^4-2*a*x/b^3+3/4*x^(4/3)/b^2+15*a^4*ln(b*x^(1/3)+a)/b^6","A"
2368,1,160,40,0.046000," ","int(1/(b*x^(1/3)+a)^2,x)","-\frac{3 a^{4}}{\left(b^{3} x +a^{3}\right) b^{3}}-\frac{a^{2} x^{\frac{1}{3}}}{\left(b^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+a^{2}\right) b^{2}}+\frac{2 a^{3}}{\left(b^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+a^{2}\right) b^{3}}-\frac{2 a^{2}}{\left(b \,x^{\frac{1}{3}}+a \right) b^{3}}-\frac{4 a \ln \left(b \,x^{\frac{1}{3}}+a \right)}{b^{3}}+\frac{2 a \ln \left(b^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+a^{2}\right)}{b^{3}}-\frac{2 a \ln \left(b^{3} x +a^{3}\right)}{b^{3}}+\frac{3 x^{\frac{1}{3}}}{b^{2}}"," ",0,"-3*a^4/(b^3*x+a^3)/b^3+3*x^(1/3)/b^2-4*a*ln(b*x^(1/3)+a)/b^3-2*a^2/b^3/(b*x^(1/3)+a)-1/b^2*a^2/(b^2*x^(2/3)-a*b*x^(1/3)+a^2)*x^(1/3)+2/b^3*a^3/(b^2*x^(2/3)-a*b*x^(1/3)+a^2)+2/b^3*a*ln(b^2*x^(2/3)-a*b*x^(1/3)+a^2)-2*a/b^3*ln(b^3*x+a^3)","B"
2369,1,35,34,0.008000," ","int(1/(b*x^(1/3)+a)^2/x,x)","\frac{3}{\left(b \,x^{\frac{1}{3}}+a \right) a}+\frac{\ln \left(x \right)}{a^{2}}-\frac{3 \ln \left(b \,x^{\frac{1}{3}}+a \right)}{a^{2}}"," ",0,"3/a/(b*x^(1/3)+a)-3*ln(b*x^(1/3)+a)/a^2+1/a^2*ln(x)","A"
2370,1,73,72,0.011000," ","int(1/(b*x^(1/3)+a)^2/x^2,x)","-\frac{3 b^{3}}{\left(b \,x^{\frac{1}{3}}+a \right) a^{4}}-\frac{4 b^{3} \ln \left(x \right)}{a^{5}}+\frac{12 b^{3} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{a^{5}}-\frac{9 b^{2}}{a^{4} x^{\frac{1}{3}}}+\frac{3 b}{a^{3} x^{\frac{2}{3}}}-\frac{1}{a^{2} x}"," ",0,"-3*b^3/a^4/(b*x^(1/3)+a)-1/a^2/x+3*b/a^3/x^(2/3)-9*b^2/a^4/x^(1/3)+12*b^3*ln(b*x^(1/3)+a)/a^5-4*b^3*ln(x)/a^5","A"
2371,1,106,105,0.012000," ","int(1/(b*x^(1/3)+a)^2/x^3,x)","\frac{3 b^{6}}{\left(b \,x^{\frac{1}{3}}+a \right) a^{7}}+\frac{7 b^{6} \ln \left(x \right)}{a^{8}}-\frac{21 b^{6} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{a^{8}}+\frac{18 b^{5}}{a^{7} x^{\frac{1}{3}}}-\frac{15 b^{4}}{2 a^{6} x^{\frac{2}{3}}}+\frac{4 b^{3}}{a^{5} x}-\frac{9 b^{2}}{4 a^{4} x^{\frac{4}{3}}}+\frac{6 b}{5 a^{3} x^{\frac{5}{3}}}-\frac{1}{2 a^{2} x^{2}}"," ",0,"3*b^6/a^7/(b*x^(1/3)+a)-1/2/a^2/x^2+6/5*b/a^3/x^(5/3)-9/4*b^2/a^4/x^(4/3)+4*b^3/a^5/x-15/2*b^4/a^6/x^(2/3)+18*b^5/a^7/x^(1/3)-21*b^6*ln(b*x^(1/3)+a)/a^8+7/a^8*b^6*ln(x)","A"
2372,1,139,138,0.014000," ","int(1/(b*x^(1/3)+a)^2/x^4,x)","-\frac{3 b^{9}}{\left(b \,x^{\frac{1}{3}}+a \right) a^{10}}-\frac{10 b^{9} \ln \left(x \right)}{a^{11}}+\frac{30 b^{9} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{a^{11}}-\frac{27 b^{8}}{a^{10} x^{\frac{1}{3}}}+\frac{12 b^{7}}{a^{9} x^{\frac{2}{3}}}-\frac{7 b^{6}}{a^{8} x}+\frac{9 b^{5}}{2 a^{7} x^{\frac{4}{3}}}-\frac{3 b^{4}}{a^{6} x^{\frac{5}{3}}}+\frac{2 b^{3}}{a^{5} x^{2}}-\frac{9 b^{2}}{7 a^{4} x^{\frac{7}{3}}}+\frac{3 b}{4 a^{3} x^{\frac{8}{3}}}-\frac{1}{3 a^{2} x^{3}}"," ",0,"-3*b^9/a^10/(b*x^(1/3)+a)-1/3/a^2/x^3+3/4*b/a^3/x^(8/3)-9/7*b^2/a^4/x^(7/3)+2*b^3/a^5/x^2-3*b^4/a^6/x^(5/3)+9/2*b^5/a^7/x^(4/3)-7*b^6/a^8/x+12*b^7/a^9/x^(2/3)-27*b^8/a^10/x^(1/3)+30*b^9*ln(b*x^(1/3)+a)/a^11-10*b^9*ln(x)/a^11","A"
2373,1,144,143,0.010000," ","int(x^3/(b*x^(1/3)+a)^3,x)","\frac{x^{3}}{3 b^{3}}-\frac{9 a \,x^{\frac{8}{3}}}{8 b^{4}}+\frac{18 a^{2} x^{\frac{7}{3}}}{7 b^{5}}+\frac{3 a^{11}}{2 \left(b \,x^{\frac{1}{3}}+a \right)^{2} b^{12}}-\frac{5 a^{3} x^{2}}{b^{6}}+\frac{9 a^{4} x^{\frac{5}{3}}}{b^{7}}-\frac{63 a^{5} x^{\frac{4}{3}}}{4 b^{8}}-\frac{33 a^{10}}{\left(b \,x^{\frac{1}{3}}+a \right) b^{12}}-\frac{165 a^{9} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{b^{12}}+\frac{28 a^{6} x}{b^{9}}-\frac{54 a^{7} x^{\frac{2}{3}}}{b^{10}}+\frac{135 a^{8} x^{\frac{1}{3}}}{b^{11}}"," ",0,"3/2*a^11/b^12/(b*x^(1/3)+a)^2-33*a^10/b^12/(b*x^(1/3)+a)+135*a^8*x^(1/3)/b^11-54*a^7*x^(2/3)/b^10+28*a^6*x/b^9-63/4*a^5*x^(4/3)/b^8+9*a^4*x^(5/3)/b^7-5*a^3*x^2/b^6+18/7*a^2*x^(7/3)/b^5-9/8*a*x^(8/3)/b^4+1/3/b^3*x^3-165*a^9*ln(b*x^(1/3)+a)/b^12","A"
2374,1,111,110,0.010000," ","int(x^2/(b*x^(1/3)+a)^3,x)","-\frac{3 a^{8}}{2 \left(b \,x^{\frac{1}{3}}+a \right)^{2} b^{9}}+\frac{x^{2}}{2 b^{3}}-\frac{9 a \,x^{\frac{5}{3}}}{5 b^{4}}+\frac{9 a^{2} x^{\frac{4}{3}}}{2 b^{5}}+\frac{24 a^{7}}{\left(b \,x^{\frac{1}{3}}+a \right) b^{9}}+\frac{84 a^{6} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{b^{9}}-\frac{10 a^{3} x}{b^{6}}+\frac{45 a^{4} x^{\frac{2}{3}}}{2 b^{7}}-\frac{63 a^{5} x^{\frac{1}{3}}}{b^{8}}"," ",0,"-3/2*a^8/b^9/(b*x^(1/3)+a)^2+24*a^7/b^9/(b*x^(1/3)+a)-63*a^5*x^(1/3)/b^8+45/2*a^4*x^(2/3)/b^7-10*a^3/b^6*x+9/2*a^2*x^(4/3)/b^5-9/5*a*x^(5/3)/b^4+1/2*x^2/b^3+84*a^6*ln(b*x^(1/3)+a)/b^9","A"
2375,1,77,76,0.004000," ","int(x/(b*x^(1/3)+a)^3,x)","\frac{3 a^{5}}{2 \left(b \,x^{\frac{1}{3}}+a \right)^{2} b^{6}}-\frac{15 a^{4}}{\left(b \,x^{\frac{1}{3}}+a \right) b^{6}}-\frac{30 a^{3} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{b^{6}}+\frac{x}{b^{3}}-\frac{9 a \,x^{\frac{2}{3}}}{2 b^{4}}+\frac{18 a^{2} x^{\frac{1}{3}}}{b^{5}}"," ",0,"3/2*a^5/b^6/(b*x^(1/3)+a)^2-15*a^4/b^6/(b*x^(1/3)+a)+18*a^2*x^(1/3)/b^5-9/2*a*x^(2/3)/b^4+x/b^3-30*a^3*ln(b*x^(1/3)+a)/b^6","A"
2376,1,237,46,0.076000," ","int(1/(b*x^(1/3)+a)^3,x)","-\frac{9 a^{6}}{2 \left(b^{3} x +a^{3}\right)^{2} b^{3}}+\frac{2 a x}{\left(b^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+a^{2}\right)^{2}}-\frac{13 a^{2} x^{\frac{2}{3}}}{2 \left(b^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+a^{2}\right)^{2} b}+\frac{5 a^{3} x^{\frac{1}{3}}}{\left(b^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+a^{2}\right)^{2} b^{2}}-\frac{3 a^{4}}{\left(b^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+a^{2}\right)^{2} b^{3}}+\frac{9 a^{3}}{\left(b^{3} x +a^{3}\right) b^{3}}-\frac{a^{2}}{\left(b \,x^{\frac{1}{3}}+a \right)^{2} b^{3}}+\frac{4 a}{\left(b \,x^{\frac{1}{3}}+a \right) b^{3}}+\frac{2 \ln \left(b \,x^{\frac{1}{3}}+a \right)}{b^{3}}-\frac{\ln \left(b^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+a^{2}\right)}{b^{3}}+\frac{\ln \left(b^{3} x +a^{3}\right)}{b^{3}}"," ",0,"-9/2*a^6/(b^3*x+a^3)^2/b^3+9/b^3*a^3/(b^3*x+a^3)+ln(b^3*x+a^3)/b^3+2*ln(b*x^(1/3)+a)/b^3-a^2/b^3/(b*x^(1/3)+a)^2-13/2*a^2/b/(b^2*x^(2/3)-a*b*x^(1/3)+a^2)^2*x^(2/3)+5*a^3/b^2/(b^2*x^(2/3)-a*b*x^(1/3)+a^2)^2*x^(1/3)-3*a^4/b^3/(b^2*x^(2/3)-a*b*x^(1/3)+a^2)^2-1/b^3*ln(b^2*x^(2/3)-a*b*x^(1/3)+a^2)+4*a/b^3/(b*x^(1/3)+a)+2*a/(b^2*x^(2/3)-a*b*x^(1/3)+a^2)^2*x","B"
2377,1,49,48,0.008000," ","int(1/(b*x^(1/3)+a)^3/x,x)","\frac{3}{2 \left(b \,x^{\frac{1}{3}}+a \right)^{2} a}+\frac{3}{\left(b \,x^{\frac{1}{3}}+a \right) a^{2}}+\frac{\ln \left(x \right)}{a^{3}}-\frac{3 \ln \left(b \,x^{\frac{1}{3}}+a \right)}{a^{3}}"," ",0,"3/2/a/(b*x^(1/3)+a)^2+3/a^2/(b*x^(1/3)+a)-3*ln(b*x^(1/3)+a)/a^3+1/a^3*ln(x)","A"
2378,1,90,89,0.010000," ","int(1/(b*x^(1/3)+a)^3/x^2,x)","-\frac{3 b^{3}}{2 \left(b \,x^{\frac{1}{3}}+a \right)^{2} a^{4}}-\frac{12 b^{3}}{\left(b \,x^{\frac{1}{3}}+a \right) a^{5}}-\frac{10 b^{3} \ln \left(x \right)}{a^{6}}+\frac{30 b^{3} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{a^{6}}-\frac{18 b^{2}}{a^{5} x^{\frac{1}{3}}}+\frac{9 b}{2 a^{4} x^{\frac{2}{3}}}-\frac{1}{a^{3} x}"," ",0,"-3/2*b^3/a^4/(b*x^(1/3)+a)^2-12*b^3/a^5/(b*x^(1/3)+a)-1/a^3/x+9/2*b/a^4/x^(2/3)-18*b^2/a^5/x^(1/3)+30*b^3*ln(b*x^(1/3)+a)/a^6-10*b^3*ln(x)/a^6","A"
2379,1,123,122,0.002000," ","int(1/(b*x^(1/3)+a)^3/x^3,x)","\frac{3 b^{6}}{2 \left(b \,x^{\frac{1}{3}}+a \right)^{2} a^{7}}+\frac{21 b^{6}}{\left(b \,x^{\frac{1}{3}}+a \right) a^{8}}+\frac{28 b^{6} \ln \left(x \right)}{a^{9}}-\frac{84 b^{6} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{a^{9}}+\frac{63 b^{5}}{a^{8} x^{\frac{1}{3}}}-\frac{45 b^{4}}{2 a^{7} x^{\frac{2}{3}}}+\frac{10 b^{3}}{a^{6} x}-\frac{9 b^{2}}{2 a^{5} x^{\frac{4}{3}}}+\frac{9 b}{5 a^{4} x^{\frac{5}{3}}}-\frac{1}{2 a^{3} x^{2}}"," ",0,"3/2*b^6/a^7/(b*x^(1/3)+a)^2+21*b^6/a^8/(b*x^(1/3)+a)-1/2/a^3/x^2+9/5*b/a^4/x^(5/3)-9/2*b^2/a^5/x^(4/3)+10*b^3/a^6/x-45/2*b^4/a^7/x^(2/3)+63*b^5/a^8/x^(1/3)-84*b^6*ln(b*x^(1/3)+a)/a^9+28/a^9*b^6*ln(x)","A"
2380,1,156,155,0.015000," ","int(1/(b*x^(1/3)+a)^3/x^4,x)","-\frac{3 b^{9}}{2 \left(b \,x^{\frac{1}{3}}+a \right)^{2} a^{10}}-\frac{30 b^{9}}{\left(b \,x^{\frac{1}{3}}+a \right) a^{11}}-\frac{55 b^{9} \ln \left(x \right)}{a^{12}}+\frac{165 b^{9} \ln \left(b \,x^{\frac{1}{3}}+a \right)}{a^{12}}-\frac{135 b^{8}}{a^{11} x^{\frac{1}{3}}}+\frac{54 b^{7}}{a^{10} x^{\frac{2}{3}}}-\frac{28 b^{6}}{a^{9} x}+\frac{63 b^{5}}{4 a^{8} x^{\frac{4}{3}}}-\frac{9 b^{4}}{a^{7} x^{\frac{5}{3}}}+\frac{5 b^{3}}{a^{6} x^{2}}-\frac{18 b^{2}}{7 a^{5} x^{\frac{7}{3}}}+\frac{9 b}{8 a^{4} x^{\frac{8}{3}}}-\frac{1}{3 a^{3} x^{3}}"," ",0,"-3/2*b^9/a^10/(b*x^(1/3)+a)^2-30*b^9/a^11/(b*x^(1/3)+a)-1/3/a^3/x^3+9/8*b/a^4/x^(8/3)-18/7*b^2/a^5/x^(7/3)+5*b^3/a^6/x^2-9*b^4/a^7/x^(5/3)+63/4*b^5/a^8/x^(4/3)-28*b^6/a^9/x+54*b^7/a^10/x^(2/3)-135*b^8/a^11/x^(1/3)+165*b^9*ln(b*x^(1/3)+a)/a^12-55*b^9*ln(x)/a^12","A"
2381,1,29,28,0.008000," ","int(1/(x^(1/3)+1)^(1/2),x)","-4 \left(x^{\frac{1}{3}}+1\right)^{\frac{3}{2}}+\frac{6 \left(x^{\frac{1}{3}}+1\right)^{\frac{5}{2}}}{5}+6 \sqrt{x^{\frac{1}{3}}+1}"," ",0,"-4*(x^(1/3)+1)^(3/2)+6/5*(x^(1/3)+1)^(5/2)+6*(x^(1/3)+1)^(1/2)","A"
2382,1,18,17,0.007000," ","int(1/(x^(1/3)+1)/x^(3/2),x)","6 \arctan \left(x^{\frac{1}{6}}\right)+\frac{6}{x^{\frac{1}{6}}}-\frac{2}{\sqrt{x}}"," ",0,"6/x^(1/6)+6*arctan(x^(1/6))-2/x^(1/2)","A"
2383,1,28,27,0.003000," ","int(x^(2/3)/(x^(1/3)+1),x)","\frac{3 x^{\frac{4}{3}}}{4}-x +3 \ln \left(x^{\frac{1}{3}}+1\right)+\frac{3 x^{\frac{2}{3}}}{2}-3 x^{\frac{1}{3}}"," ",0,"-3*x^(1/3)+3/2*x^(2/3)-x+3/4*x^(4/3)+3*ln(x^(1/3)+1)","A"
2384,1,41,12,0.038000," ","int(1/(1+x^(2/3)),x)","\arctan \left(x \right)-2 \arctan \left(x^{\frac{1}{3}}\right)-\arctan \left(2 x^{\frac{1}{3}}-\sqrt{3}\right)-\arctan \left(2 x^{\frac{1}{3}}+\sqrt{3}\right)+3 x^{\frac{1}{3}}"," ",0,"arctan(x)+3*x^(1/3)-2*arctan(x^(1/3))-arctan(2*x^(1/3)-3^(1/2))-arctan(2*x^(1/3)+3^(1/2))","B"
2385,1,9,8,0.001000," ","int(1/(1+x^(2/3))/x^(1/3),x)","\frac{3 \ln \left(x^{\frac{2}{3}}+1\right)}{2}"," ",0,"3/2*ln(1+x^(2/3))","A"
2386,1,7,6,0.003000," ","int(1/(x^(2/3)+1)/x^(2/3),x)","3 \arctan \left(x^{\frac{1}{3}}\right)"," ",0,"3*arctan(x^(1/3))","A"
2387,1,8,7,0.008000," ","int((-1+x^(2/3))^(1/2)/x^(1/3),x)","\left(x^{\frac{2}{3}}-1\right)^{\frac{3}{2}}"," ",0,"(-1+x^(2/3))^(3/2)","A"
2388,1,10,9,0.006000," ","int((x^(2/3)+1)^(3/2)/x^(1/3),x)","\frac{3 \left(x^{\frac{2}{3}}+1\right)^{\frac{5}{2}}}{5}"," ",0,"3/5*(x^(2/3)+1)^(5/2)","A"
2389,1,76,78,0.006000," ","int(x^(1/2)/(x^(2/3)+1),x)","\frac{3 \sqrt{2}\, \arctan \left(\sqrt{2}\, x^{\frac{1}{6}}-1\right)}{2}+\frac{3 \sqrt{2}\, \arctan \left(\sqrt{2}\, x^{\frac{1}{6}}+1\right)}{2}+\frac{3 \sqrt{2}\, \ln \left(\frac{x^{\frac{1}{3}}+\sqrt{2}\, x^{\frac{1}{6}}+1}{x^{\frac{1}{3}}-\sqrt{2}\, x^{\frac{1}{6}}+1}\right)}{4}+\frac{6 x^{\frac{5}{6}}}{5}-6 x^{\frac{1}{6}}"," ",0,"6/5*x^(5/6)-6*x^(1/6)+3/2*arctan(-1+x^(1/6)*2^(1/2))*2^(1/2)+3/4*2^(1/2)*ln((1+x^(1/3)+x^(1/6)*2^(1/2))/(1+x^(1/3)-x^(1/6)*2^(1/2)))+3/2*arctan(1+x^(1/6)*2^(1/2))*2^(1/2)","A"
2390,1,175,134,0.033000," ","int(x^(1/3)/(-1+x^(5/6)),x)","\frac{12 \sqrt{5}\, \arctan \left(\frac{4 x^{\frac{1}{6}}+1-\sqrt{5}}{\sqrt{10+2 \sqrt{5}}}\right)}{5 \sqrt{10+2 \sqrt{5}}}-\frac{12 \sqrt{5}\, \arctan \left(\frac{4 x^{\frac{1}{6}}+1+\sqrt{5}}{\sqrt{10-2 \sqrt{5}}}\right)}{5 \sqrt{10-2 \sqrt{5}}}+\frac{6 \ln \left(x^{\frac{1}{6}}-1\right)}{5}-\frac{3 \sqrt{5}\, \ln \left(2 x^{\frac{1}{3}}+x^{\frac{1}{6}}-\sqrt{5}\, x^{\frac{1}{6}}+2\right)}{10}-\frac{3 \ln \left(2 x^{\frac{1}{3}}+x^{\frac{1}{6}}-\sqrt{5}\, x^{\frac{1}{6}}+2\right)}{10}+\frac{3 \sqrt{5}\, \ln \left(2 x^{\frac{1}{3}}+x^{\frac{1}{6}}+\sqrt{5}\, x^{\frac{1}{6}}+2\right)}{10}-\frac{3 \ln \left(2 x^{\frac{1}{3}}+x^{\frac{1}{6}}+\sqrt{5}\, x^{\frac{1}{6}}+2\right)}{10}+2 \sqrt{x}"," ",0,"2*x^(1/2)+6/5*ln(x^(1/6)-1)-3/10*ln(2+x^(1/6)+2*x^(1/3)-x^(1/6)*5^(1/2))*5^(1/2)-3/10*ln(2+x^(1/6)+2*x^(1/3)-x^(1/6)*5^(1/2))+12/5/(10+2*5^(1/2))^(1/2)*arctan((1+4*x^(1/6)-5^(1/2))/(10+2*5^(1/2))^(1/2))*5^(1/2)+3/10*ln(2+x^(1/6)+2*x^(1/3)+x^(1/6)*5^(1/2))*5^(1/2)-3/10*ln(2+x^(1/6)+2*x^(1/3)+x^(1/6)*5^(1/2))-12/5/(10-2*5^(1/2))^(1/2)*arctan((1+4*x^(1/6)+5^(1/2))/(10-2*5^(1/2))^(1/2))*5^(1/2)","A"
2391,1,91,46,0.017000," ","int((3-1/x^(1/2))^(1/2),x)","-\frac{\sqrt{\frac{3 \sqrt{x}-1}{\sqrt{x}}}\, \left(\sqrt{3}\, \ln \left(\sqrt{3}\, \sqrt{x}-\frac{\sqrt{3}}{6}+\sqrt{3 x -\sqrt{x}}\right)-36 \sqrt{3 x -\sqrt{x}}\, \sqrt{x}+6 \sqrt{3 x -\sqrt{x}}\right) \sqrt{x}}{36 \sqrt{\left(3 \sqrt{x}-1\right) \sqrt{x}}}"," ",0,"-1/36*((3*x^(1/2)-1)/x^(1/2))^(1/2)*x^(1/2)*(ln(-1/6*3^(1/2)+3^(1/2)*x^(1/2)+(3*x-x^(1/2))^(1/2))*3^(1/2)-36*(3*x-x^(1/2))^(1/2)*x^(1/2)+6*(3*x-x^(1/2))^(1/2))/((3*x^(1/2)-1)*x^(1/2))^(1/2)","A"
2392,1,65,32,0.017000," ","int(1/(1+1/x^(1/2))^(1/2),x)","\frac{\sqrt{\frac{\sqrt{x}+1}{\sqrt{x}}}\, \left(3 \ln \left(\sqrt{x}+\frac{1}{2}+\sqrt{x +\sqrt{x}}\right)+4 \sqrt{x +\sqrt{x}}\, \sqrt{x}-6 \sqrt{x +\sqrt{x}}\right) \sqrt{x}}{4 \sqrt{\left(\sqrt{x}+1\right) \sqrt{x}}}"," ",0,"1/4*((x^(1/2)+1)/x^(1/2))^(1/2)*x^(1/2)*(4*(x+x^(1/2))^(1/2)*x^(1/2)+3*ln(1/2+x^(1/2)+(x+x^(1/2))^(1/2))-6*(x+x^(1/2))^(1/2))/((x^(1/2)+1)*x^(1/2))^(1/2)","A"
2393,0,0,68,0.200000," ","int((a+b/x^(3/2))^(2/3),x)","\int \left(a +\frac{b}{x^{\frac{3}{2}}}\right)^{\frac{2}{3}}\, dx"," ",0,"int((a+b/x^(3/2))^(2/3),x)","F"
2394,1,14,13,0.002000," ","int((a+b/x^(1/3))*x^4,x)","\frac{a \,x^{5}}{5}+\frac{3 b \,x^{\frac{14}{3}}}{14}"," ",0,"3/14*b*x^(14/3)+1/5*a*x^5","A"
2395,1,14,13,0.001000," ","int((a+b/x^(1/3))*x^3,x)","\frac{a \,x^{4}}{4}+\frac{3 b \,x^{\frac{11}{3}}}{11}"," ",0,"3/11*b*x^(11/3)+1/4*a*x^4","A"
2396,1,14,13,0.000000," ","int((a+b/x^(1/3))*x^2,x)","\frac{a \,x^{3}}{3}+\frac{3 b \,x^{\frac{8}{3}}}{8}"," ",0,"3/8*b*x^(8/3)+1/3*a*x^3","A"
2397,1,14,13,0.000000," ","int((a+b/x^(1/3))*x,x)","\frac{a \,x^{2}}{2}+\frac{3 b \,x^{\frac{5}{3}}}{5}"," ",0,"3/5*b*x^(5/3)+1/2*a*x^2","A"
2398,1,11,10,0.000000," ","int(a+b/x^(1/3),x)","a x +\frac{3 b \,x^{\frac{2}{3}}}{2}"," ",0,"3/2*b*x^(2/3)+a*x","A"
2399,1,12,11,0.006000," ","int((a+b/x^(1/3))/x,x)","a \ln \left(x \right)-\frac{3 b}{x^{\frac{1}{3}}}"," ",0,"-3*b/x^(1/3)+a*ln(x)","A"
2400,1,14,13,0.006000," ","int((a+b/x^(1/3))/x^2,x)","-\frac{a}{x}-\frac{3 b}{4 x^{\frac{4}{3}}}"," ",0,"-3/4*b/x^(4/3)-a/x","A"
2401,1,14,13,0.005000," ","int((a+b/x^(1/3))/x^3,x)","-\frac{a}{2 x^{2}}-\frac{3 b}{7 x^{\frac{7}{3}}}"," ",0,"-3/7*b/x^(7/3)-1/2*a/x^2","A"
2402,1,14,13,0.006000," ","int((a+b/x^(1/3))/x^4,x)","-\frac{a}{3 x^{3}}-\frac{3 b}{10 x^{\frac{10}{3}}}"," ",0,"-3/10*b/x^(10/3)-1/3*a/x^3","A"
2403,1,25,24,0.002000," ","int((a+b/x^(1/3))^2*x^4,x)","\frac{a^{2} x^{5}}{5}+\frac{3 a b \,x^{\frac{14}{3}}}{7}+\frac{3 b^{2} x^{\frac{13}{3}}}{13}"," ",0,"3/13*b^2*x^(13/3)+3/7*a*b*x^(14/3)+1/5*a^2*x^5","A"
2404,1,25,24,0.002000," ","int((a+b/x^(1/3))^2*x^3,x)","\frac{a^{2} x^{4}}{4}+\frac{6 a b \,x^{\frac{11}{3}}}{11}+\frac{3 b^{2} x^{\frac{10}{3}}}{10}"," ",0,"3/10*b^2*x^(10/3)+6/11*a*b*x^(11/3)+1/4*a^2*x^4","A"
2405,1,25,24,0.002000," ","int((a+b/x^(1/3))^2*x^2,x)","\frac{a^{2} x^{3}}{3}+\frac{3 a b \,x^{\frac{8}{3}}}{4}+\frac{3 b^{2} x^{\frac{7}{3}}}{7}"," ",0,"3/7*b^2*x^(7/3)+3/4*a*b*x^(8/3)+1/3*a^2*x^3","A"
2406,1,25,24,0.002000," ","int((a+b/x^(1/3))^2*x,x)","\frac{a^{2} x^{2}}{2}+\frac{6 a b \,x^{\frac{5}{3}}}{5}+\frac{3 b^{2} x^{\frac{4}{3}}}{4}"," ",0,"3/4*b^2*x^(4/3)+6/5*a*b*x^(5/3)+1/2*a^2*x^2","A"
2407,1,14,14,0.000000," ","int((a+b/x^(1/3))^2,x)","\frac{\left(a \,x^{\frac{1}{3}}+b \right)^{3}}{a}"," ",0,"(b+a*x^(1/3))^3/a","A"
2408,1,23,22,0.007000," ","int((a+b/x^(1/3))^2/x,x)","a^{2} \ln \left(x \right)-\frac{6 a b}{x^{\frac{1}{3}}}-\frac{3 b^{2}}{2 x^{\frac{2}{3}}}"," ",0,"-3/2*b^2/x^(2/3)-6*a*b/x^(1/3)+a^2*ln(x)","A"
2409,1,25,24,0.004000," ","int((a+b/x^(1/3))^2/x^2,x)","-\frac{a^{2}}{x}-\frac{3 a b}{2 x^{\frac{4}{3}}}-\frac{3 b^{2}}{5 x^{\frac{5}{3}}}"," ",0,"-3/5*b^2/x^(5/3)-3/2*a*b/x^(4/3)-a^2/x","A"
2410,1,25,24,0.005000," ","int((a+b/x^(1/3))^2/x^3,x)","-\frac{a^{2}}{2 x^{2}}-\frac{6 a b}{7 x^{\frac{7}{3}}}-\frac{3 b^{2}}{8 x^{\frac{8}{3}}}"," ",0,"-3/8*b^2/x^(8/3)-6/7*a*b/x^(7/3)-1/2*a^2/x^2","A"
2411,1,25,24,0.006000," ","int((a+b/x^(1/3))^2/x^4,x)","-\frac{a^{2}}{3 x^{3}}-\frac{3 a b}{5 x^{\frac{10}{3}}}-\frac{3 b^{2}}{11 x^{\frac{11}{3}}}"," ",0,"-3/11*b^2/x^(11/3)-3/5*a*b/x^(10/3)-1/3*a^2/x^3","A"
2412,1,36,35,0.002000," ","int((a+b/x^(1/3))^3*x^4,x)","\frac{a^{3} x^{5}}{5}+\frac{9 a^{2} b \,x^{\frac{14}{3}}}{14}+\frac{9 a \,b^{2} x^{\frac{13}{3}}}{13}+\frac{b^{3} x^{4}}{4}"," ",0,"1/4*b^3*x^4+9/13*a*b^2*x^(13/3)+9/14*a^2*b*x^(14/3)+1/5*a^3*x^5","A"
2413,1,36,35,0.001000," ","int((a+b/x^(1/3))^3*x^3,x)","\frac{a^{3} x^{4}}{4}+\frac{9 a^{2} b \,x^{\frac{11}{3}}}{11}+\frac{9 a \,b^{2} x^{\frac{10}{3}}}{10}+\frac{b^{3} x^{3}}{3}"," ",0,"1/3*b^3*x^3+9/10*a*b^2*x^(10/3)+9/11*a^2*b*x^(11/3)+1/4*a^3*x^4","A"
2414,1,36,35,0.002000," ","int((a+b/x^(1/3))^3*x^2,x)","\frac{a^{3} x^{3}}{3}+\frac{9 a^{2} b \,x^{\frac{8}{3}}}{8}+\frac{9 a \,b^{2} x^{\frac{7}{3}}}{7}+\frac{b^{3} x^{2}}{2}"," ",0,"1/2*b^3*x^2+9/7*a*b^2*x^(7/3)+9/8*a^2*b*x^(8/3)+1/3*a^3*x^3","A"
2415,1,33,32,0.003000," ","int((a+b/x^(1/3))^3*x,x)","\frac{a^{3} x^{2}}{2}+\frac{9 a^{2} b \,x^{\frac{5}{3}}}{5}+\frac{9 a \,b^{2} x^{\frac{4}{3}}}{4}+b^{3} x"," ",0,"b^3*x+9/4*a*b^2*x^(4/3)+9/5*a^2*b*x^(5/3)+1/2*a^3*x^2","A"
2416,1,31,30,0.003000," ","int((a+b/x^(1/3))^3,x)","a^{3} x +b^{3} \ln \left(x \right)+\frac{9 a^{2} b \,x^{\frac{2}{3}}}{2}+9 a \,b^{2} x^{\frac{1}{3}}"," ",0,"9*a*b^2*x^(1/3)+9/2*a^2*b*x^(2/3)+a^3*x+b^3*ln(x)","A"
2417,1,34,33,0.008000," ","int((a+b/x^(1/3))^3/x,x)","a^{3} \ln \left(x \right)-\frac{9 a^{2} b}{x^{\frac{1}{3}}}-\frac{9 a \,b^{2}}{2 x^{\frac{2}{3}}}-\frac{b^{3}}{x}"," ",0,"-b^3/x-9/2*a*b^2/x^(2/3)-9*a^2*b/x^(1/3)+a^3*ln(x)","A"
2418,1,36,35,0.006000," ","int((a+b/x^(1/3))^3/x^2,x)","-\frac{a^{3}}{x}-\frac{9 a^{2} b}{4 x^{\frac{4}{3}}}-\frac{9 a \,b^{2}}{5 x^{\frac{5}{3}}}-\frac{b^{3}}{2 x^{2}}"," ",0,"-1/2*b^3/x^2-9/5*a*b^2/x^(5/3)-9/4*a^2*b/x^(4/3)-a^3/x","A"
2419,1,36,35,0.007000," ","int((a+b/x^(1/3))^3/x^3,x)","-\frac{a^{3}}{2 x^{2}}-\frac{9 a^{2} b}{7 x^{\frac{7}{3}}}-\frac{9 a \,b^{2}}{8 x^{\frac{8}{3}}}-\frac{b^{3}}{3 x^{3}}"," ",0,"-1/3*b^3/x^3-9/8*a*b^2/x^(8/3)-9/7*a^2*b/x^(7/3)-1/2*a^3/x^2","A"
2420,1,36,35,0.005000," ","int((a+b/x^(1/3))^3/x^4,x)","-\frac{a^{3}}{3 x^{3}}-\frac{9 a^{2} b}{10 x^{\frac{10}{3}}}-\frac{9 a \,b^{2}}{11 x^{\frac{11}{3}}}-\frac{b^{3}}{4 x^{4}}"," ",0,"-1/4*b^3/x^4-9/11*a*b^2/x^(11/3)-9/10*a^2*b/x^(10/3)-1/3*a^3/x^3","A"
2421,1,109,108,0.006000," ","int(x^2/(a+b/x^(1/3)),x)","\frac{x^{3}}{3 a}-\frac{3 b \,x^{\frac{8}{3}}}{8 a^{2}}+\frac{3 b^{2} x^{\frac{7}{3}}}{7 a^{3}}-\frac{b^{3} x^{2}}{2 a^{4}}+\frac{3 b^{4} x^{\frac{5}{3}}}{5 a^{5}}-\frac{3 b^{5} x^{\frac{4}{3}}}{4 a^{6}}+\frac{b^{6} x}{a^{7}}-\frac{3 b^{9} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{a^{10}}-\frac{3 b^{7} x^{\frac{2}{3}}}{2 a^{8}}+\frac{3 b^{8} x^{\frac{1}{3}}}{a^{9}}"," ",0,"3*b^8*x^(1/3)/a^9-3/2*b^7*x^(2/3)/a^8+b^6*x/a^7-3/4*b^5*x^(4/3)/a^6+3/5*b^4*x^(5/3)/a^5-1/2/a^4*b^3*x^2+3/7*b^2*x^(7/3)/a^3-3/8*b*x^(8/3)/a^2+1/3/a*x^3-3*b^9*ln(a*x^(1/3)+b)/a^10","A"
2422,1,77,76,0.004000," ","int(x/(a+b/x^(1/3)),x)","\frac{x^{2}}{2 a}-\frac{3 b \,x^{\frac{5}{3}}}{5 a^{2}}+\frac{3 b^{2} x^{\frac{4}{3}}}{4 a^{3}}-\frac{b^{3} x}{a^{4}}+\frac{3 b^{6} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{a^{7}}+\frac{3 b^{4} x^{\frac{2}{3}}}{2 a^{5}}-\frac{3 b^{5} x^{\frac{1}{3}}}{a^{6}}"," ",0,"-3*b^5*x^(1/3)/a^6+3/2*b^4*x^(2/3)/a^5-1/a^4*b^3*x+3/4*b^2*x^(4/3)/a^3-3/5*b*x^(5/3)/a^2+1/2/a*x^2+3*b^6*ln(a*x^(1/3)+b)/a^7","A"
2423,1,43,52,0.004000," ","int(1/(a+b/x^(1/3)),x)","\frac{x}{a}-\frac{3 b^{3} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{a^{4}}-\frac{3 b \,x^{\frac{2}{3}}}{2 a^{2}}+\frac{3 b^{2} x^{\frac{1}{3}}}{a^{3}}"," ",0,"1/a*x-3/2*b*x^(2/3)/a^2+3*b^2*x^(1/3)/a^3-3/a^4*b^3*ln(a*x^(1/3)+b)","A"
2424,1,14,13,0.003000," ","int(1/(a+b/x^(1/3))/x,x)","\frac{3 \ln \left(a \,x^{\frac{1}{3}}+b \right)}{a}"," ",0,"3*ln(a*x^(1/3)+b)/a","A"
2425,1,44,43,0.008000," ","int(1/(a+b/x^(1/3))/x^2,x)","\frac{a^{2} \ln \left(x \right)}{b^{3}}-\frac{3 a^{2} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{b^{3}}+\frac{3 a}{b^{2} x^{\frac{1}{3}}}-\frac{3}{2 b \,x^{\frac{2}{3}}}"," ",0,"-3/2/b/x^(2/3)+3*a/b^2/x^(1/3)-3*a^2*ln(a*x^(1/3)+b)/b^3+a^2/b^3*ln(x)","A"
2426,1,78,77,0.010000," ","int(1/(a+b/x^(1/3))/x^3,x)","-\frac{a^{5} \ln \left(x \right)}{b^{6}}+\frac{3 a^{5} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{b^{6}}-\frac{3 a^{4}}{b^{5} x^{\frac{1}{3}}}+\frac{3 a^{3}}{2 b^{4} x^{\frac{2}{3}}}-\frac{a^{2}}{b^{3} x}+\frac{3 a}{4 b^{2} x^{\frac{4}{3}}}-\frac{3}{5 b \,x^{\frac{5}{3}}}"," ",0,"-3/5/b/x^(5/3)+3/4*a/b^2/x^(4/3)-a^2/b^3/x+3/2*a^3/b^4/x^(2/3)-3*a^4/b^5/x^(1/3)+3*a^5*ln(a*x^(1/3)+b)/b^6-a^5/b^6*ln(x)","A"
2427,1,109,108,0.010000," ","int(1/(a+b/x^(1/3))/x^4,x)","\frac{a^{8} \ln \left(x \right)}{b^{9}}-\frac{3 a^{8} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{b^{9}}+\frac{3 a^{7}}{b^{8} x^{\frac{1}{3}}}-\frac{3 a^{6}}{2 b^{7} x^{\frac{2}{3}}}+\frac{a^{5}}{b^{6} x}-\frac{3 a^{4}}{4 b^{5} x^{\frac{4}{3}}}+\frac{3 a^{3}}{5 b^{4} x^{\frac{5}{3}}}-\frac{a^{2}}{2 b^{3} x^{2}}+\frac{3 a}{7 b^{2} x^{\frac{7}{3}}}-\frac{3}{8 b \,x^{\frac{8}{3}}}"," ",0,"-3/8/b/x^(8/3)+3/7*a/b^2/x^(7/3)-1/2*a^2/b^3/x^2+3/5*a^3/b^4/x^(5/3)-3/4*a^4/b^5/x^(4/3)+a^5/b^6/x-3/2*a^6/b^7/x^(2/3)+3*a^7/b^8/x^(1/3)-3*a^8*ln(a*x^(1/3)+b)/b^9+a^8*ln(x)/b^9","A"
2428,1,144,143,0.013000," ","int(1/(a+b/x^(1/3))/x^5,x)","-\frac{a^{11} \ln \left(x \right)}{b^{12}}+\frac{3 a^{11} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{b^{12}}-\frac{3 a^{10}}{b^{11} x^{\frac{1}{3}}}+\frac{3 a^{9}}{2 b^{10} x^{\frac{2}{3}}}-\frac{a^{8}}{b^{9} x}+\frac{3 a^{7}}{4 b^{8} x^{\frac{4}{3}}}-\frac{3 a^{6}}{5 b^{7} x^{\frac{5}{3}}}+\frac{a^{5}}{2 b^{6} x^{2}}-\frac{3 a^{4}}{7 b^{5} x^{\frac{7}{3}}}+\frac{3 a^{3}}{8 b^{4} x^{\frac{8}{3}}}-\frac{a^{2}}{3 b^{3} x^{3}}+\frac{3 a}{10 b^{2} x^{\frac{10}{3}}}-\frac{3}{11 b \,x^{\frac{11}{3}}}"," ",0,"-3/11/b/x^(11/3)+3/10*a/b^2/x^(10/3)-1/3*a^2/b^3/x^3+3/8*a^3/b^4/x^(8/3)-3/7*a^4/b^5/x^(7/3)+1/2*a^5/b^6/x^2-3/5*a^6/b^7/x^(5/3)+3/4*a^7/b^8/x^(4/3)-a^8/b^9/x+3/2*a^9/b^10/x^(2/3)-3*a^10/b^11/x^(1/3)+3*a^11*ln(a*x^(1/3)+b)/b^12-a^11*ln(x)/b^12","A"
2429,1,127,126,0.010000," ","int(x^2/(a+b/x^(1/3))^2,x)","\frac{x^{3}}{3 a^{2}}-\frac{3 b \,x^{\frac{8}{3}}}{4 a^{3}}+\frac{9 b^{2} x^{\frac{7}{3}}}{7 a^{4}}-\frac{2 b^{3} x^{2}}{a^{5}}+\frac{3 b^{4} x^{\frac{5}{3}}}{a^{6}}-\frac{9 b^{5} x^{\frac{4}{3}}}{2 a^{7}}+\frac{7 b^{6} x}{a^{8}}-\frac{3 b^{10}}{\left(a \,x^{\frac{1}{3}}+b \right) a^{11}}-\frac{30 b^{9} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{a^{11}}-\frac{12 b^{7} x^{\frac{2}{3}}}{a^{9}}+\frac{27 b^{8} x^{\frac{1}{3}}}{a^{10}}"," ",0,"-3*b^10/a^11/(a*x^(1/3)+b)+27*b^8*x^(1/3)/a^10-12*b^7*x^(2/3)/a^9+7*b^6*x/a^8-9/2*b^5*x^(4/3)/a^7+3*b^4*x^(5/3)/a^6-2/a^5*b^3*x^2+9/7*b^2*x^(7/3)/a^4-3/4*b*x^(8/3)/a^3+1/3/a^2*x^3-30*b^9*ln(a*x^(1/3)+b)/a^11","A"
2430,1,94,93,0.009000," ","int(x/(a+b/x^(1/3))^2,x)","\frac{x^{2}}{2 a^{2}}-\frac{6 b \,x^{\frac{5}{3}}}{5 a^{3}}+\frac{9 b^{2} x^{\frac{4}{3}}}{4 a^{4}}-\frac{4 b^{3} x}{a^{5}}+\frac{3 b^{7}}{\left(a \,x^{\frac{1}{3}}+b \right) a^{8}}+\frac{21 b^{6} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{a^{8}}+\frac{15 b^{4} x^{\frac{2}{3}}}{2 a^{6}}-\frac{18 b^{5} x^{\frac{1}{3}}}{a^{7}}"," ",0,"3*b^7/a^8/(a*x^(1/3)+b)-18*b^5*x^(1/3)/a^7+15/2*b^4*x^(2/3)/a^6-4/a^5*b^3*x+9/4*b^2*x^(4/3)/a^4-6/5*b*x^(5/3)/a^3+1/2/a^2*x^2+21*b^6*ln(a*x^(1/3)+b)/a^8","A"
2431,1,60,69,0.008000," ","int(1/(a+b/x^(1/3))^2,x)","\frac{x}{a^{2}}-\frac{3 b^{4}}{\left(a \,x^{\frac{1}{3}}+b \right) a^{5}}-\frac{12 b^{3} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{a^{5}}-\frac{3 b \,x^{\frac{2}{3}}}{a^{3}}+\frac{9 b^{2} x^{\frac{1}{3}}}{a^{4}}"," ",0,"1/a^2*x-3*b*x^(2/3)/a^3+9*b^2*x^(1/3)/a^4-12/a^5*b^3*ln(a*x^(1/3)+b)-3/a^5*b^4/(a*x^(1/3)+b)","A"
2432,1,30,29,0.007000," ","int(1/(a+b/x^(1/3))^2/x,x)","\frac{3 b}{\left(a \,x^{\frac{1}{3}}+b \right) a^{2}}+\frac{3 \ln \left(a \,x^{\frac{1}{3}}+b \right)}{a^{2}}"," ",0,"3*b/a^2/(a*x^(1/3)+b)+3*ln(a*x^(1/3)+b)/a^2","A"
2433,1,47,46,0.010000," ","int(1/(a+b/x^(1/3))^2/x^2,x)","-\frac{3 a}{\left(a \,x^{\frac{1}{3}}+b \right) b^{2}}-\frac{2 a \ln \left(x \right)}{b^{3}}+\frac{6 a \ln \left(a \,x^{\frac{1}{3}}+b \right)}{b^{3}}-\frac{3}{b^{2} x^{\frac{1}{3}}}"," ",0,"-3*a/b^2/(a*x^(1/3)+b)-3/b^2/x^(1/3)+6*a*ln(a*x^(1/3)+b)/b^3-2*a/b^3*ln(x)","A"
2434,1,84,83,0.013000," ","int(1/(a+b/x^(1/3))^2/x^3,x)","\frac{3 a^{4}}{\left(a \,x^{\frac{1}{3}}+b \right) b^{5}}+\frac{5 a^{4} \ln \left(x \right)}{b^{6}}-\frac{15 a^{4} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{b^{6}}+\frac{12 a^{3}}{b^{5} x^{\frac{1}{3}}}-\frac{9 a^{2}}{2 b^{4} x^{\frac{2}{3}}}+\frac{2 a}{b^{3} x}-\frac{3}{4 b^{2} x^{\frac{4}{3}}}"," ",0,"3*a^4/b^5/(a*x^(1/3)+b)-3/4/b^2/x^(4/3)+2*a/b^3/x-9/2*a^2/b^4/x^(2/3)+12*a^3/b^5/x^(1/3)-15*a^4*ln(a*x^(1/3)+b)/b^6+5*a^4/b^6*ln(x)","A"
2435,1,116,115,0.011000," ","int(1/(a+b/x^(1/3))^2/x^4,x)","-\frac{3 a^{7}}{\left(a \,x^{\frac{1}{3}}+b \right) b^{8}}-\frac{8 a^{7} \ln \left(x \right)}{b^{9}}+\frac{24 a^{7} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{b^{9}}-\frac{21 a^{6}}{b^{8} x^{\frac{1}{3}}}+\frac{9 a^{5}}{b^{7} x^{\frac{2}{3}}}-\frac{5 a^{4}}{b^{6} x}+\frac{3 a^{3}}{b^{5} x^{\frac{4}{3}}}-\frac{9 a^{2}}{5 b^{4} x^{\frac{5}{3}}}+\frac{a}{b^{3} x^{2}}-\frac{3}{7 b^{2} x^{\frac{7}{3}}}"," ",0,"-3*a^7/b^8/(a*x^(1/3)+b)-3/7/b^2/x^(7/3)+a/b^3/x^2-9/5*a^2/b^4/x^(5/3)+3*a^3/b^5/x^(4/3)-5*a^4/b^6/x+9*a^5/b^7/x^(2/3)-21*a^6/b^8/x^(1/3)+24*a^7*ln(a*x^(1/3)+b)/b^9-8*a^7*ln(x)/b^9","A"
2436,1,150,149,0.015000," ","int(1/(a+b/x^(1/3))^2/x^5,x)","\frac{3 a^{10}}{\left(a \,x^{\frac{1}{3}}+b \right) b^{11}}+\frac{11 a^{10} \ln \left(x \right)}{b^{12}}-\frac{33 a^{10} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{b^{12}}+\frac{30 a^{9}}{b^{11} x^{\frac{1}{3}}}-\frac{27 a^{8}}{2 b^{10} x^{\frac{2}{3}}}+\frac{8 a^{7}}{b^{9} x}-\frac{21 a^{6}}{4 b^{8} x^{\frac{4}{3}}}+\frac{18 a^{5}}{5 b^{7} x^{\frac{5}{3}}}-\frac{5 a^{4}}{2 b^{6} x^{2}}+\frac{12 a^{3}}{7 b^{5} x^{\frac{7}{3}}}-\frac{9 a^{2}}{8 b^{4} x^{\frac{8}{3}}}+\frac{2 a}{3 b^{3} x^{3}}-\frac{3}{10 b^{2} x^{\frac{10}{3}}}"," ",0,"3*a^10/b^11/(a*x^(1/3)+b)-3/10/b^2/x^(10/3)+2/3*a/b^3/x^3-9/8*a^2/b^4/x^(8/3)+12/7*a^3/b^5/x^(7/3)-5/2*a^4/b^6/x^2+18/5*a^5/b^7/x^(5/3)-21/4*a^6/b^8/x^(4/3)+8*a^7/b^9/x-27/2*a^8/b^10/x^(2/3)+30*a^9/b^11/x^(1/3)-33*a^10*ln(a*x^(1/3)+b)/b^12+11*a^10*ln(x)/b^12","A"
2437,1,144,143,0.010000," ","int(x^2/(a+b/x^(1/3))^3,x)","\frac{x^{3}}{3 a^{3}}-\frac{9 b \,x^{\frac{8}{3}}}{8 a^{4}}+\frac{18 b^{2} x^{\frac{7}{3}}}{7 a^{5}}-\frac{5 b^{3} x^{2}}{a^{6}}+\frac{3 b^{11}}{2 \left(a \,x^{\frac{1}{3}}+b \right)^{2} a^{12}}+\frac{9 b^{4} x^{\frac{5}{3}}}{a^{7}}-\frac{63 b^{5} x^{\frac{4}{3}}}{4 a^{8}}+\frac{28 b^{6} x}{a^{9}}-\frac{33 b^{10}}{\left(a \,x^{\frac{1}{3}}+b \right) a^{12}}-\frac{165 b^{9} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{a^{12}}-\frac{54 b^{7} x^{\frac{2}{3}}}{a^{10}}+\frac{135 b^{8} x^{\frac{1}{3}}}{a^{11}}"," ",0,"3/2*b^11/a^12/(a*x^(1/3)+b)^2-33*b^10/a^12/(a*x^(1/3)+b)+135*b^8*x^(1/3)/a^11-54*b^7*x^(2/3)/a^10+28*b^6*x/a^9-63/4*b^5*x^(4/3)/a^8+9*b^4*x^(5/3)/a^7-5/a^6*b^3*x^2+18/7*b^2*x^(7/3)/a^5-9/8*b*x^(8/3)/a^4+1/3/a^3*x^3-165*b^9*ln(a*x^(1/3)+b)/a^12","A"
2438,1,111,110,0.010000," ","int(x/(a+b/x^(1/3))^3,x)","\frac{x^{2}}{2 a^{3}}-\frac{3 b^{8}}{2 \left(a \,x^{\frac{1}{3}}+b \right)^{2} a^{9}}-\frac{9 b \,x^{\frac{5}{3}}}{5 a^{4}}+\frac{9 b^{2} x^{\frac{4}{3}}}{2 a^{5}}-\frac{10 b^{3} x}{a^{6}}+\frac{24 b^{7}}{\left(a \,x^{\frac{1}{3}}+b \right) a^{9}}+\frac{84 b^{6} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{a^{9}}+\frac{45 b^{4} x^{\frac{2}{3}}}{2 a^{7}}-\frac{63 b^{5} x^{\frac{1}{3}}}{a^{8}}"," ",0,"-3/2*b^8/a^9/(a*x^(1/3)+b)^2+24*b^7/a^9/(a*x^(1/3)+b)-63*b^5*x^(1/3)/a^8+45/2*b^4*x^(2/3)/a^7-10/a^6*b^3*x+9/2*b^2*x^(4/3)/a^5-9/5*b*x^(5/3)/a^4+1/2/a^3*x^2+84*b^6*ln(a*x^(1/3)+b)/a^9","A"
2439,1,77,86,0.009000," ","int(1/(a+b/x^(1/3))^3,x)","\frac{3 b^{5}}{2 \left(a \,x^{\frac{1}{3}}+b \right)^{2} a^{6}}+\frac{x}{a^{3}}-\frac{15 b^{4}}{\left(a \,x^{\frac{1}{3}}+b \right) a^{6}}-\frac{30 b^{3} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{a^{6}}-\frac{9 b \,x^{\frac{2}{3}}}{2 a^{4}}+\frac{18 b^{2} x^{\frac{1}{3}}}{a^{5}}"," ",0,"1/a^3*x-9/2*b*x^(2/3)/a^4+18*b^2*x^(1/3)/a^5-30/a^6*b^3*ln(a*x^(1/3)+b)-15/a^6*b^4/(a*x^(1/3)+b)+3/2*b^5/a^6/(a*x^(1/3)+b)^2","A"
2440,1,237,46,0.080000," ","int(1/(a+b/x^(1/3))^3/x,x)","-\frac{9 b^{6}}{2 \left(a^{3} x +b^{3}\right)^{2} a^{3}}+\frac{2 b x}{\left(a^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+b^{2}\right)^{2}}-\frac{13 b^{2} x^{\frac{2}{3}}}{2 \left(a^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+b^{2}\right)^{2} a}+\frac{5 b^{3} x^{\frac{1}{3}}}{\left(a^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+b^{2}\right)^{2} a^{2}}-\frac{3 b^{4}}{\left(a^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+b^{2}\right)^{2} a^{3}}+\frac{9 b^{3}}{\left(a^{3} x +b^{3}\right) a^{3}}-\frac{b^{2}}{\left(a \,x^{\frac{1}{3}}+b \right)^{2} a^{3}}+\frac{4 b}{\left(a \,x^{\frac{1}{3}}+b \right) a^{3}}+\frac{2 \ln \left(a \,x^{\frac{1}{3}}+b \right)}{a^{3}}-\frac{\ln \left(a^{2} x^{\frac{2}{3}}-a b \,x^{\frac{1}{3}}+b^{2}\right)}{a^{3}}+\frac{\ln \left(a^{3} x +b^{3}\right)}{a^{3}}"," ",0,"-9/2*b^6/(a^3*x+b^3)^2/a^3+1/a^3*ln(a^3*x+b^3)+9/a^3*b^3/(a^3*x+b^3)+2*ln(a*x^(1/3)+b)/a^3-b^2/a^3/(a*x^(1/3)+b)^2-13/2/a*b^2/(a^2*x^(2/3)-a*b*x^(1/3)+b^2)^2*x^(2/3)+5/a^2*b^3/(a^2*x^(2/3)-a*b*x^(1/3)+b^2)^2*x^(1/3)-3/a^3*b^4/(a^2*x^(2/3)-a*b*x^(1/3)+b^2)^2-1/a^3*ln(a^2*x^(2/3)-a*b*x^(1/3)+b^2)+4*b/a^3/(a*x^(1/3)+b)+2*b/(a^2*x^(2/3)-a*b*x^(1/3)+b^2)^2*x","B"
2441,1,49,48,0.009000," ","int(1/(a+b/x^(1/3))^3/x^2,x)","\frac{3}{2 \left(a \,x^{\frac{1}{3}}+b \right)^{2} b}+\frac{3}{\left(a \,x^{\frac{1}{3}}+b \right) b^{2}}+\frac{\ln \left(x \right)}{b^{3}}-\frac{3 \ln \left(a \,x^{\frac{1}{3}}+b \right)}{b^{3}}"," ",0,"3/2/b/(a*x^(1/3)+b)^2+3/b^2/(a*x^(1/3)+b)-3*ln(a*x^(1/3)+b)/b^3+1/b^3*ln(x)","A"
2442,1,90,89,0.012000," ","int(1/(a+b/x^(1/3))^3/x^3,x)","-\frac{3 a^{3}}{2 \left(a \,x^{\frac{1}{3}}+b \right)^{2} b^{4}}-\frac{12 a^{3}}{\left(a \,x^{\frac{1}{3}}+b \right) b^{5}}-\frac{10 a^{3} \ln \left(x \right)}{b^{6}}+\frac{30 a^{3} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{b^{6}}-\frac{18 a^{2}}{b^{5} x^{\frac{1}{3}}}+\frac{9 a}{2 b^{4} x^{\frac{2}{3}}}-\frac{1}{b^{3} x}"," ",0,"-3/2*a^3/b^4/(a*x^(1/3)+b)^2-12*a^3/b^5/(a*x^(1/3)+b)-1/b^3/x+9/2*a/b^4/x^(2/3)-18*a^2/b^5/x^(1/3)+30*a^3*ln(a*x^(1/3)+b)/b^6-10*a^3/b^6*ln(x)","A"
2443,1,123,122,0.014000," ","int(1/(a+b/x^(1/3))^3/x^4,x)","\frac{3 a^{6}}{2 \left(a \,x^{\frac{1}{3}}+b \right)^{2} b^{7}}+\frac{21 a^{6}}{\left(a \,x^{\frac{1}{3}}+b \right) b^{8}}+\frac{28 a^{6} \ln \left(x \right)}{b^{9}}-\frac{84 a^{6} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{b^{9}}+\frac{63 a^{5}}{b^{8} x^{\frac{1}{3}}}-\frac{45 a^{4}}{2 b^{7} x^{\frac{2}{3}}}+\frac{10 a^{3}}{b^{6} x}-\frac{9 a^{2}}{2 b^{5} x^{\frac{4}{3}}}+\frac{9 a}{5 b^{4} x^{\frac{5}{3}}}-\frac{1}{2 b^{3} x^{2}}"," ",0,"3/2*a^6/b^7/(a*x^(1/3)+b)^2+21*a^6/b^8/(a*x^(1/3)+b)-1/2/b^3/x^2+9/5*a/b^4/x^(5/3)-9/2*a^2/b^5/x^(4/3)+10*a^3/b^6/x-45/2*a^4/b^7/x^(2/3)+63*a^5/b^8/x^(1/3)-84*a^6*ln(a*x^(1/3)+b)/b^9+28*a^6*ln(x)/b^9","A"
2444,1,156,155,0.013000," ","int(1/(a+b/x^(1/3))^3/x^5,x)","-\frac{3 a^{9}}{2 \left(a \,x^{\frac{1}{3}}+b \right)^{2} b^{10}}-\frac{30 a^{9}}{\left(a \,x^{\frac{1}{3}}+b \right) b^{11}}-\frac{55 a^{9} \ln \left(x \right)}{b^{12}}+\frac{165 a^{9} \ln \left(a \,x^{\frac{1}{3}}+b \right)}{b^{12}}-\frac{135 a^{8}}{b^{11} x^{\frac{1}{3}}}+\frac{54 a^{7}}{b^{10} x^{\frac{2}{3}}}-\frac{28 a^{6}}{b^{9} x}+\frac{63 a^{5}}{4 b^{8} x^{\frac{4}{3}}}-\frac{9 a^{4}}{b^{7} x^{\frac{5}{3}}}+\frac{5 a^{3}}{b^{6} x^{2}}-\frac{18 a^{2}}{7 b^{5} x^{\frac{7}{3}}}+\frac{9 a}{8 b^{4} x^{\frac{8}{3}}}-\frac{1}{3 b^{3} x^{3}}"," ",0,"-3/2*a^9/b^10/(a*x^(1/3)+b)^2-30*a^9/b^11/(a*x^(1/3)+b)-1/3/b^3/x^3+9/8*a/b^4/x^(8/3)-18/7*a^2/b^5/x^(7/3)+5*a^3/b^6/x^2-9*a^4/b^7/x^(5/3)+63/4*a^5/b^8/x^(4/3)-28*a^6/b^9/x+54*a^7/b^10/x^(2/3)-135*a^8/b^11/x^(1/3)+165*a^9*ln(a*x^(1/3)+b)/b^12-55*a^9*ln(x)/b^12","A"
2445,1,28,36,0.004000," ","int(1/(1+b/x^(1/3)),x)","-3 b^{3} \ln \left(b +x^{\frac{1}{3}}\right)+3 b^{2} x^{\frac{1}{3}}-\frac{3 b \,x^{\frac{2}{3}}}{2}+x"," ",0,"x-3/2*b*x^(2/3)+3*b^2*x^(1/3)-3*b^3*ln(x^(1/3)+b)","A"
2446,1,10,9,0.001000," ","int(x^(2/3)*(1+x^(5/3))^(2/3),x)","\frac{9 \left(x^{\frac{5}{3}}+1\right)^{\frac{5}{3}}}{25}"," ",0,"9/25*(1+x^(5/3))^(5/3)","A"
2447,1,14,13,0.001000," ","int(x^(7/3)*(a^(10/3)-x^(10/3))^(19/7),x)","-\frac{21 \left(a^{\frac{10}{3}}-x^{\frac{10}{3}}\right)^{\frac{26}{7}}}{260}"," ",0,"-21/260*(a^(10/3)-x^(10/3))^(26/7)","A"
2448,1,79,29,0.062000," ","int(1/(1+x^(1/5)),x)","4 \ln \left(x^{\frac{1}{5}}+1\right)+\ln \left(x +1\right)-\ln \left(2 x^{\frac{2}{5}}-\sqrt{5}\, x^{\frac{1}{5}}-x^{\frac{1}{5}}+2\right)-\ln \left(2 x^{\frac{2}{5}}+\sqrt{5}\, x^{\frac{1}{5}}-x^{\frac{1}{5}}+2\right)+\frac{5 x^{\frac{4}{5}}}{4}-\frac{5 x^{\frac{3}{5}}}{3}+\frac{5 x^{\frac{2}{5}}}{2}-5 x^{\frac{1}{5}}"," ",0,"ln(x+1)+5/2*x^(2/5)-ln(x^(1/5)*5^(1/2)+2*x^(2/5)-x^(1/5)+2)-ln(-x^(1/5)*5^(1/2)+2*x^(2/5)-x^(1/5)+2)+4*ln(1+x^(1/5))+5/4*x^(4/5)-5*x^(1/5)-5/3*x^(3/5)","B"
2449,1,10,9,0.005000," ","int(1/x^(1/5)/(1+x^(4/5))^(1/2),x)","\frac{5 \sqrt{x^{\frac{4}{5}}+1}}{2}"," ",0,"5/2*(1+x^(4/5))^(1/2)","A"
2450,0,0,14,0.204000," ","int((a+b/x^(3/5))^(2/3),x)","\int \left(a +\frac{b}{x^{\frac{3}{5}}}\right)^{\frac{2}{3}}\, dx"," ",0,"int((a+b/x^(3/5))^(2/3),x)","F"
2451,1,23,19,0.011000," ","int(x^3*(a+b*x^n),x)","\frac{b \,x^{4} {\mathrm e}^{n \ln \left(x \right)}}{n +4}+\frac{a \,x^{4}}{4}"," ",0,"b/(n+4)*x^4*exp(n*ln(x))+1/4*a*x^4","A"
2452,1,23,19,0.010000," ","int(x^2*(a+b*x^n),x)","\frac{b \,x^{3} {\mathrm e}^{n \ln \left(x \right)}}{n +3}+\frac{a \,x^{3}}{3}"," ",0,"b/(n+3)*x^3*exp(n*ln(x))+1/3*a*x^3","A"
2453,1,23,19,0.009000," ","int(x*(a+b*x^n),x)","\frac{b \,x^{2} {\mathrm e}^{n \ln \left(x \right)}}{n +2}+\frac{a \,x^{2}}{2}"," ",0,"b/(n+2)*x^2*exp(n*ln(x))+1/2*a*x^2","A"
2454,1,17,16,0.000000," ","int(a+b*x^n,x)","a x +\frac{b \,x^{n +1}}{n +1}"," ",0,"a*x+b*x^(n+1)/(n+1)","A"
2455,1,19,13,0.008000," ","int((a+b*x^n)/x,x)","\frac{a \ln \left(x^{n}\right)}{n}+\frac{b \,x^{n}}{n}"," ",0,"b*x^n/n+1/n*a*ln(x^n)","A"
2456,1,21,22,0.010000," ","int((a+b*x^n)/x^2,x)","\frac{\frac{b \,{\mathrm e}^{n \ln \left(x \right)}}{n -1}-a}{x}"," ",0,"(b/(-1+n)*exp(n*ln(x))-a)/x","A"
2457,1,21,22,0.012000," ","int((a+b*x^n)/x^3,x)","\frac{\frac{b \,{\mathrm e}^{n \ln \left(x \right)}}{n -2}-\frac{a}{2}}{x^{2}}"," ",0,"(b/(n-2)*exp(n*ln(x))-1/2*a)/x^2","A"
2458,1,47,40,0.015000," ","int(x^3*(a+b*x^n)^2,x)","\frac{2 a b \,x^{4} {\mathrm e}^{n \ln \left(x \right)}}{n +4}+\frac{b^{2} x^{4} {\mathrm e}^{2 n \ln \left(x \right)}}{4+2 n}+\frac{a^{2} x^{4}}{4}"," ",0,"1/4*a^2*x^4+1/2*b^2/(n+2)*x^4*exp(n*ln(x))^2+2*a*b/(n+4)*x^4*exp(n*ln(x))","A"
2459,1,48,41,0.012000," ","int(x^2*(a+b*x^n)^2,x)","\frac{2 a b \,x^{3} {\mathrm e}^{n \ln \left(x \right)}}{n +3}+\frac{b^{2} x^{3} {\mathrm e}^{2 n \ln \left(x \right)}}{2 n +3}+\frac{a^{2} x^{3}}{3}"," ",0,"b^2/(2*n+3)*x^3*exp(n*ln(x))^2+1/3*a^2*x^3+2*a*b/(n+3)*x^3*exp(n*ln(x))","A"
2460,1,47,40,0.010000," ","int(x*(a+b*x^n)^2,x)","\frac{2 a b \,x^{2} {\mathrm e}^{n \ln \left(x \right)}}{n +2}+\frac{b^{2} x^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{2+2 n}+\frac{a^{2} x^{2}}{2}"," ",0,"1/2*a^2*x^2+1/2*b^2/(n+1)*x^2*exp(n*ln(x))^2+2*a*b/(n+2)*x^2*exp(n*ln(x))","A"
2461,1,41,38,0.010000," ","int((a+b*x^n)^2,x)","\frac{2 a b x \,{\mathrm e}^{n \ln \left(x \right)}}{n +1}+\frac{b^{2} x \,{\mathrm e}^{2 n \ln \left(x \right)}}{2 n +1}+a^{2} x"," ",0,"a^2*x+b^2/(1+2*n)*x*exp(n*ln(x))^2+2*a*b/(n+1)*x*exp(n*ln(x))","A"
2462,1,36,30,0.003000," ","int((a+b*x^n)^2/x,x)","\frac{a^{2} \ln \left(x^{n}\right)}{n}+\frac{2 a b \,x^{n}}{n}+\frac{b^{2} x^{2 n}}{2 n}"," ",0,"1/2/n*b^2*(x^n)^2+2*a*b*x^n/n+1/n*a^2*ln(x^n)","A"
2463,1,43,44,0.015000," ","int((a+b*x^n)^2/x^2,x)","\frac{\frac{2 a b \,{\mathrm e}^{n \ln \left(x \right)}}{n -1}+\frac{b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{2 n -1}-a^{2}}{x}"," ",0,"(b^2/(-1+2*n)*exp(n*ln(x))^2-a^2+2*a*b/(n-1)*exp(n*ln(x)))/x","A"
2464,1,42,46,0.016000," ","int((a+b*x^n)^2/x^3,x)","\frac{\frac{2 a b \,{\mathrm e}^{n \ln \left(x \right)}}{n -2}+\frac{b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{2 n -2}-\frac{a^{2}}{2}}{x^{2}}"," ",0,"(-1/2*a^2+1/2*b^2/(n-1)*exp(n*ln(x))^2+2*a*b/(n-2)*exp(n*ln(x)))/x^2","A"
2465,1,65,61,0.013000," ","int(x^3*(a+b*x^n)^3,x)","\frac{3 a^{2} b \,x^{4} x^{n}}{n +4}+\frac{3 a \,b^{2} x^{4} x^{2 n}}{2 \left(n +2\right)}+\frac{b^{3} x^{4} x^{3 n}}{3 n +4}+\frac{a^{3} x^{4}}{4}"," ",0,"1/4*a^3*x^4+b^3/(3*n+4)*x^4*(x^n)^3+3/2*a*b^2*x^4/(n+2)*(x^n)^2+3*a^2*b/(n+4)*x^4*x^n","A"
2466,1,72,62,0.018000," ","int(x^2*(a+b*x^n)^3,x)","\frac{3 a^{2} b \,x^{3} {\mathrm e}^{n \ln \left(x \right)}}{n +3}+\frac{3 a \,b^{2} x^{3} {\mathrm e}^{2 n \ln \left(x \right)}}{2 n +3}+\frac{b^{3} x^{3} {\mathrm e}^{3 n \ln \left(x \right)}}{3+3 n}+\frac{a^{3} x^{3}}{3}"," ",0,"1/3*a^3*x^3+1/3*b^3/(n+1)*x^3*exp(n*ln(x))^3+3*a*b^2/(2*n+3)*x^3*exp(n*ln(x))^2+3*a^2*b/(n+3)*x^3*exp(n*ln(x))","A"
2467,1,71,61,0.014000," ","int(x*(a+b*x^n)^3,x)","\frac{3 a^{2} b \,x^{2} {\mathrm e}^{n \ln \left(x \right)}}{n +2}+\frac{3 a \,b^{2} x^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{2 \left(n +1\right)}+\frac{b^{3} x^{2} {\mathrm e}^{3 n \ln \left(x \right)}}{3 n +2}+\frac{a^{3} x^{2}}{2}"," ",0,"b^3/(3*n+2)*x^2*exp(n*ln(x))^3+1/2*a^3*x^2+3/2*a*b^2/(n+1)*x^2*exp(n*ln(x))^2+3*a^2*b/(n+2)*x^2*exp(n*ln(x))","A"
2468,1,64,60,0.013000," ","int((a+b*x^n)^3,x)","\frac{3 a^{2} b x \,{\mathrm e}^{n \ln \left(x \right)}}{n +1}+\frac{3 a \,b^{2} x \,{\mathrm e}^{2 n \ln \left(x \right)}}{2 n +1}+\frac{b^{3} x \,{\mathrm e}^{3 n \ln \left(x \right)}}{3 n +1}+a^{3} x"," ",0,"a^3*x+b^3/(1+3*n)*x*exp(n*ln(x))^3+3*a*b^2/(2*n+1)*x*exp(n*ln(x))^2+3*a^2*b/(n+1)*x*exp(n*ln(x))","A"
2469,1,52,46,0.003000," ","int((a+b*x^n)^3/x,x)","\frac{a^{3} \ln \left(x^{n}\right)}{n}+\frac{3 a^{2} b \,x^{n}}{n}+\frac{3 a \,b^{2} x^{2 n}}{2 n}+\frac{b^{3} x^{3 n}}{3 n}"," ",0,"1/3/n*b^3*(x^n)^3+3/2/n*(x^n)^2*a*b^2+3*a^2*b*x^n/n+1/n*a^3*ln(x^n)","A"
2470,1,65,66,0.017000," ","int((a+b*x^n)^3/x^2,x)","\frac{\frac{3 a^{2} b \,{\mathrm e}^{n \ln \left(x \right)}}{n -1}+\frac{3 a \,b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{2 n -1}+\frac{b^{3} {\mathrm e}^{3 n \ln \left(x \right)}}{3 n -1}-a^{3}}{x}"," ",0,"(b^3/(-1+3*n)*exp(n*ln(x))^3-a^3+3*a*b^2/(2*n-1)*exp(n*ln(x))^2+3*a^2*b/(n-1)*exp(n*ln(x)))/x","A"
2471,1,65,68,0.021000," ","int((a+b*x^n)^3/x^3,x)","\frac{3 a^{2} b \,x^{n}}{\left(n -2\right) x^{2}}+\frac{3 a \,b^{2} x^{2 n}}{2 \left(n -1\right) x^{2}}+\frac{b^{3} x^{3 n}}{\left(3 n -2\right) x^{2}}-\frac{a^{3}}{2 x^{2}}"," ",0,"-1/2*a^3/x^2+1/(3*n-2)*b^3/x^2*(x^n)^3+3/2/(n-1)*a*b^2/x^2*(x^n)^2+3/(n-2)*a^2*b/x^2*x^n","A"
2472,0,0,33,0.226000," ","int(x/(a+b*x^n),x)","\int \frac{x}{b \,x^{n}+a}\, dx"," ",0,"int(x/(a+b*x^n),x)","F"
2473,0,0,26,0.201000," ","int(1/(b*x^n+a),x)","\int \frac{1}{b \,x^{n}+a}\, dx"," ",0,"int(1/(b*x^n+a),x)","F"
2474,1,29,23,0.002000," ","int(1/x/(b*x^n+a),x)","\frac{\ln \left(x^{n}\right)}{a n}-\frac{\ln \left(b \,x^{n}+a \right)}{a n}"," ",0,"-ln(b*x^n+a)/a/n+1/n/a*ln(x^n)","A"
2475,0,0,33,0.201000," ","int(1/x^2/(b*x^n+a),x)","\int \frac{1}{\left(b \,x^{n}+a \right) x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^n+a),x)","F"
2476,0,0,33,0.241000," ","int(1/x^3/(b*x^n+a),x)","\int \frac{1}{\left(b \,x^{n}+a \right) x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^n+a),x)","F"
2477,0,0,33,0.356000," ","int(x/(b*x^n+a)^2,x)","\int \frac{x}{\left(b \,x^{n}+a \right)^{2}}\, dx"," ",0,"int(x/(b*x^n+a)^2,x)","F"
2478,0,0,26,0.259000," ","int(1/(b*x^n+a)^2,x)","\int \frac{1}{\left(b \,x^{n}+a \right)^{2}}\, dx"," ",0,"int(1/(b*x^n+a)^2,x)","F"
2479,1,45,39,0.003000," ","int(1/x/(b*x^n+a)^2,x)","\frac{1}{\left(b \,x^{n}+a \right) a n}+\frac{\ln \left(x^{n}\right)}{a^{2} n}-\frac{\ln \left(b \,x^{n}+a \right)}{a^{2} n}"," ",0,"-ln(b*x^n+a)/a^2/n+1/a/n/(b*x^n+a)+1/n/a^2*ln(x^n)","A"
2480,0,0,33,0.234000," ","int(1/x^2/(b*x^n+a)^2,x)","\int \frac{1}{\left(b \,x^{n}+a \right)^{2} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^n+a)^2,x)","F"
2481,0,0,33,0.217000," ","int(1/x^3/(b*x^n+a)^2,x)","\int \frac{1}{\left(b \,x^{n}+a \right)^{2} x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^n+a)^2,x)","F"
2482,0,0,33,0.209000," ","int(x/(b*x^n+a)^3,x)","\int \frac{x}{\left(b \,x^{n}+a \right)^{3}}\, dx"," ",0,"int(x/(b*x^n+a)^3,x)","F"
2483,0,0,26,0.207000," ","int(1/(b*x^n+a)^3,x)","\int \frac{1}{\left(b \,x^{n}+a \right)^{3}}\, dx"," ",0,"int(1/(b*x^n+a)^3,x)","F"
2484,1,62,56,0.001000," ","int(1/x/(b*x^n+a)^3,x)","\frac{1}{2 \left(b \,x^{n}+a \right)^{2} a n}+\frac{1}{\left(b \,x^{n}+a \right) a^{2} n}+\frac{\ln \left(x^{n}\right)}{a^{3} n}-\frac{\ln \left(b \,x^{n}+a \right)}{a^{3} n}"," ",0,"-ln(b*x^n+a)/a^3/n+1/a^2/n/(b*x^n+a)+1/2/a/n/(b*x^n+a)^2+1/n/a^3*ln(x^n)","A"
2485,0,0,33,0.210000," ","int(1/x^2/(b*x^n+a)^3,x)","\int \frac{1}{\left(b \,x^{n}+a \right)^{3} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^n+a)^3,x)","F"
2486,0,0,33,0.214000," ","int(1/x^3/(b*x^n+a)^3,x)","\int \frac{1}{\left(b \,x^{n}+a \right)^{3} x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^n+a)^3,x)","F"
2487,0,0,44,0.213000," ","int(x*(b*x^n+a)^(1/2),x)","\int \sqrt{b \,x^{n}+a}\, x\, dx"," ",0,"int(x*(b*x^n+a)^(1/2),x)","F"
2488,0,0,37,0.211000," ","int((b*x^n+a)^(1/2),x)","\int \sqrt{b \,x^{n}+a}\, dx"," ",0,"int((b*x^n+a)^(1/2),x)","F"
2489,1,36,37,0.003000," ","int((b*x^n+a)^(1/2)/x,x)","\frac{-2 \sqrt{a}\, \arctanh \left(\frac{\sqrt{b \,x^{n}+a}}{\sqrt{a}}\right)+2 \sqrt{b \,x^{n}+a}}{n}"," ",0,"1/n*(2*(b*x^n+a)^(1/2)-2*a^(1/2)*arctanh((b*x^n+a)^(1/2)/a^(1/2)))","A"
2490,0,0,44,0.214000," ","int((b*x^n+a)^(1/2)/x^2,x)","\int \frac{\sqrt{b \,x^{n}+a}}{x^{2}}\, dx"," ",0,"int((b*x^n+a)^(1/2)/x^2,x)","F"
2491,0,0,44,0.212000," ","int((b*x^n+a)^(1/2)/x^3,x)","\int \frac{\sqrt{b \,x^{n}+a}}{x^{3}}\, dx"," ",0,"int((b*x^n+a)^(1/2)/x^3,x)","F"
2492,0,0,44,0.208000," ","int(x*(b*x^n+a)^(3/2),x)","\int \left(b \,x^{n}+a \right)^{\frac{3}{2}} x\, dx"," ",0,"int(x*(b*x^n+a)^(3/2),x)","F"
2493,0,0,37,0.210000," ","int((b*x^n+a)^(3/2),x)","\int \left(b \,x^{n}+a \right)^{\frac{3}{2}}\, dx"," ",0,"int((b*x^n+a)^(3/2),x)","F"
2494,1,48,52,0.004000," ","int((b*x^n+a)^(3/2)/x,x)","\frac{-2 a^{\frac{3}{2}} \arctanh \left(\frac{\sqrt{b \,x^{n}+a}}{\sqrt{a}}\right)+2 \sqrt{b \,x^{n}+a}\, a +\frac{2 \left(b \,x^{n}+a \right)^{\frac{3}{2}}}{3}}{n}"," ",0,"1/n*(2/3*(b*x^n+a)^(3/2)+2*(b*x^n+a)^(1/2)*a-2*a^(3/2)*arctanh((b*x^n+a)^(1/2)/a^(1/2)))","A"
2495,0,0,44,0.215000," ","int((b*x^n+a)^(3/2)/x^2,x)","\int \frac{\left(b \,x^{n}+a \right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"int((b*x^n+a)^(3/2)/x^2,x)","F"
2496,0,0,44,0.218000," ","int((b*x^n+a)^(3/2)/x^3,x)","\int \frac{\left(b \,x^{n}+a \right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"int((b*x^n+a)^(3/2)/x^3,x)","F"
2497,0,0,44,0.211000," ","int(x*(b*x^n+a)^(5/2),x)","\int \left(b \,x^{n}+a \right)^{\frac{5}{2}} x\, dx"," ",0,"int(x*(b*x^n+a)^(5/2),x)","F"
2498,0,0,37,0.208000," ","int((b*x^n+a)^(5/2),x)","\int \left(b \,x^{n}+a \right)^{\frac{5}{2}}\, dx"," ",0,"int((b*x^n+a)^(5/2),x)","F"
2499,1,62,69,0.004000," ","int((b*x^n+a)^(5/2)/x,x)","\frac{-2 a^{\frac{5}{2}} \arctanh \left(\frac{\sqrt{b \,x^{n}+a}}{\sqrt{a}}\right)+2 \sqrt{b \,x^{n}+a}\, a^{2}+\frac{2 \left(b \,x^{n}+a \right)^{\frac{3}{2}} a}{3}+\frac{2 \left(b \,x^{n}+a \right)^{\frac{5}{2}}}{5}}{n}"," ",0,"1/n*(2/5*(b*x^n+a)^(5/2)+2/3*a*(b*x^n+a)^(3/2)+2*(b*x^n+a)^(1/2)*a^2-2*a^(5/2)*arctanh((b*x^n+a)^(1/2)/a^(1/2)))","A"
2500,0,0,44,0.211000," ","int((b*x^n+a)^(5/2)/x^2,x)","\int \frac{\left(b \,x^{n}+a \right)^{\frac{5}{2}}}{x^{2}}\, dx"," ",0,"int((b*x^n+a)^(5/2)/x^2,x)","F"
2501,0,0,44,0.210000," ","int((b*x^n+a)^(5/2)/x^3,x)","\int \frac{\left(b \,x^{n}+a \right)^{\frac{5}{2}}}{x^{3}}\, dx"," ",0,"int((b*x^n+a)^(5/2)/x^3,x)","F"
2502,0,0,44,0.205000," ","int(x/(b*x^n+a)^(1/2),x)","\int \frac{x}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x/(b*x^n+a)^(1/2),x)","F"
2503,0,0,37,0.211000," ","int(1/(b*x^n+a)^(1/2),x)","\int \frac{1}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(1/(b*x^n+a)^(1/2),x)","F"
2504,1,23,22,0.005000," ","int(1/x/(b*x^n+a)^(1/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{b \,x^{n}+a}}{\sqrt{a}}\right)}{\sqrt{a}\, n}"," ",0,"-2*arctanh((b*x^n+a)^(1/2)/a^(1/2))/n/a^(1/2)","A"
2505,0,0,44,0.205000," ","int(1/x^2/(b*x^n+a)^(1/2),x)","\int \frac{1}{\sqrt{b \,x^{n}+a}\, x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^n+a)^(1/2),x)","F"
2506,0,0,44,0.204000," ","int(1/x^3/(b*x^n+a)^(1/2),x)","\int \frac{1}{\sqrt{b \,x^{n}+a}\, x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^n+a)^(1/2),x)","F"
2507,0,0,44,0.204000," ","int(x/(b*x^n+a)^(3/2),x)","\int \frac{x}{\left(b \,x^{n}+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x/(b*x^n+a)^(3/2),x)","F"
2508,0,0,37,0.199000," ","int(1/(b*x^n+a)^(3/2),x)","\int \frac{1}{\left(b \,x^{n}+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(b*x^n+a)^(3/2),x)","F"
2509,1,39,40,0.005000," ","int(1/x/(b*x^n+a)^(3/2),x)","\frac{-\frac{2 \arctanh \left(\frac{\sqrt{b \,x^{n}+a}}{\sqrt{a}}\right)}{a^{\frac{3}{2}}}+\frac{2}{\sqrt{b \,x^{n}+a}\, a}}{n}"," ",0,"1/n*(-2/a^(3/2)*arctanh((b*x^n+a)^(1/2)/a^(1/2))+2/a/(b*x^n+a)^(1/2))","A"
2510,0,0,44,0.208000," ","int(1/x^2/(b*x^n+a)^(3/2),x)","\int \frac{1}{\left(b \,x^{n}+a \right)^{\frac{3}{2}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^n+a)^(3/2),x)","F"
2511,0,0,44,0.206000," ","int(1/x^3/(b*x^n+a)^(3/2),x)","\int \frac{1}{\left(b \,x^{n}+a \right)^{\frac{3}{2}} x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^n+a)^(3/2),x)","F"
2512,0,0,44,0.206000," ","int(x/(b*x^n+a)^(5/2),x)","\int \frac{x}{\left(b \,x^{n}+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x/(b*x^n+a)^(5/2),x)","F"
2513,0,0,37,0.205000," ","int(1/(b*x^n+a)^(5/2),x)","\int \frac{1}{\left(b \,x^{n}+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(b*x^n+a)^(5/2),x)","F"
2514,1,53,57,0.009000," ","int(1/x/(b*x^n+a)^(5/2),x)","\frac{\frac{2}{3 \left(b \,x^{n}+a \right)^{\frac{3}{2}} a}-\frac{2 \arctanh \left(\frac{\sqrt{b \,x^{n}+a}}{\sqrt{a}}\right)}{a^{\frac{5}{2}}}+\frac{2}{\sqrt{b \,x^{n}+a}\, a^{2}}}{n}"," ",0,"1/n*(-2/a^(5/2)*arctanh((b*x^n+a)^(1/2)/a^(1/2))+2/a^2/(b*x^n+a)^(1/2)+2/3/a/(b*x^n+a)^(3/2))","A"
2515,0,0,44,0.219000," ","int(1/x^2/(b*x^n+a)^(5/2),x)","\int \frac{1}{\left(b \,x^{n}+a \right)^{\frac{5}{2}} x^{2}}\, dx"," ",0,"int(1/x^2/(b*x^n+a)^(5/2),x)","F"
2516,0,0,44,0.201000," ","int(1/x^3/(b*x^n+a)^(5/2),x)","\int \frac{1}{\left(b \,x^{n}+a \right)^{\frac{5}{2}} x^{3}}\, dx"," ",0,"int(1/x^3/(b*x^n+a)^(5/2),x)","F"
2517,1,107,81,0.006000," ","int((b*x^n+a)^(1/3)/x,x)","-\frac{\sqrt{3}\, a^{\frac{1}{3}} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 \left(b \,x^{n}+a \right)^{\frac{1}{3}}}{a^{\frac{1}{3}}}+1\right)}{3}\right)}{n}+\frac{a^{\frac{1}{3}} \ln \left(-a^{\frac{1}{3}}+\left(b \,x^{n}+a \right)^{\frac{1}{3}}\right)}{n}-\frac{a^{\frac{1}{3}} \ln \left(a^{\frac{2}{3}}+\left(b \,x^{n}+a \right)^{\frac{1}{3}} a^{\frac{1}{3}}+\left(b \,x^{n}+a \right)^{\frac{2}{3}}\right)}{2 n}+\frac{3 \left(b \,x^{n}+a \right)^{\frac{1}{3}}}{n}"," ",0,"3*(b*x^n+a)^(1/3)/n+1/n*a^(1/3)*ln((b*x^n+a)^(1/3)-a^(1/3))-1/2/n*a^(1/3)*ln((b*x^n+a)^(2/3)+a^(1/3)*(b*x^n+a)^(1/3)+a^(2/3))-1/n*a^(1/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/a^(1/3)*(b*x^n+a)^(1/3)+1))","A"
2518,1,28,23,0.022000," ","int(x^(-1+4*n)*(b*x^n+a),x)","\frac{a \,{\mathrm e}^{4 n \ln \left(x \right)}}{4 n}+\frac{b \,{\mathrm e}^{5 n \ln \left(x \right)}}{5 n}"," ",0,"1/4*a/n*exp(n*ln(x))^4+1/5*b/n*exp(n*ln(x))^5","A"
2519,1,28,23,0.021000," ","int(x^(3*n-1)*(b*x^n+a),x)","\frac{a \,{\mathrm e}^{3 n \ln \left(x \right)}}{3 n}+\frac{b \,{\mathrm e}^{4 n \ln \left(x \right)}}{4 n}"," ",0,"1/3*a/n*exp(n*ln(x))^3+1/4*b/n*exp(n*ln(x))^4","A"
2520,1,28,23,0.017000," ","int(x^(2*n-1)*(b*x^n+a),x)","\frac{a \,{\mathrm e}^{2 n \ln \left(x \right)}}{2 n}+\frac{b \,{\mathrm e}^{3 n \ln \left(x \right)}}{3 n}"," ",0,"1/2*a/n*exp(n*ln(x))^2+1/3*b/n*exp(n*ln(x))^3","A"
2521,1,25,20,0.015000," ","int(x^(n-1)*(b*x^n+a),x)","\frac{a \,{\mathrm e}^{n \ln \left(x \right)}}{n}+\frac{b \,{\mathrm e}^{2 n \ln \left(x \right)}}{2 n}"," ",0,"a/n*exp(n*ln(x))+1/2*b/n*exp(n*ln(x))^2","A"
2522,1,19,13,0.000000," ","int((b*x^n+a)/x,x)","\frac{a \ln \left(x^{n}\right)}{n}+\frac{b \,x^{n}}{n}"," ",0,"a/n*ln(x^n)+b/n*x^n","A"
2523,1,25,16,0.014000," ","int(x^(-1-n)*(b*x^n+a),x)","\left(b \,{\mathrm e}^{n \ln \left(x \right)} \ln \left(x \right)-\frac{a}{n}\right) {\mathrm e}^{-n \ln \left(x \right)}"," ",0,"(b*ln(x)*exp(n*ln(x))-a/n)/exp(n*ln(x))","A"
2524,1,27,25,0.018000," ","int(x^(-1-2*n)*(b*x^n+a),x)","\left(-\frac{b \,{\mathrm e}^{n \ln \left(x \right)}}{n}-\frac{a}{2 n}\right) {\mathrm e}^{-2 n \ln \left(x \right)}"," ",0,"(-1/2*a/n-b/n*exp(n*ln(x)))/exp(n*ln(x))^2","A"
2525,1,27,27,0.017000," ","int(x^(-1-3*n)*(b*x^n+a),x)","\left(-\frac{b \,{\mathrm e}^{n \ln \left(x \right)}}{2 n}-\frac{a}{3 n}\right) {\mathrm e}^{-3 n \ln \left(x \right)}"," ",0,"(-1/3*a/n-1/2*b/n*exp(n*ln(x)))/exp(n*ln(x))^3","A"
2526,1,27,27,0.020000," ","int(x^(-1-4*n)*(b*x^n+a),x)","\left(-\frac{b \,{\mathrm e}^{n \ln \left(x \right)}}{3 n}-\frac{a}{4 n}\right) {\mathrm e}^{-4 n \ln \left(x \right)}"," ",0,"(-1/4*a/n-1/3*b/n*exp(n*ln(x)))/exp(n*ln(x))^4","A"
2527,1,27,27,0.021000," ","int(x^(-1-5*n)*(b*x^n+a),x)","\left(-\frac{b \,{\mathrm e}^{n \ln \left(x \right)}}{4 n}-\frac{a}{5 n}\right) {\mathrm e}^{-5 n \ln \left(x \right)}"," ",0,"(-1/5*a/n-1/4*b/n*exp(n*ln(x)))/exp(n*ln(x))^5","A"
2528,1,40,39,0.020000," ","int(x^(-1+4*n)*(b*x^n+a)^2,x)","\frac{a^{2} x^{4 n}}{4 n}+\frac{2 a b \,x^{5 n}}{5 n}+\frac{b^{2} x^{6 n}}{6 n}"," ",0,"1/6*b^2/n*(x^n)^6+2/5*a*b/n*(x^n)^5+1/4*a^2/n*(x^n)^4","A"
2529,1,46,39,0.023000," ","int(x^(3*n-1)*(b*x^n+a)^2,x)","\frac{a^{2} {\mathrm e}^{3 n \ln \left(x \right)}}{3 n}+\frac{a b \,{\mathrm e}^{4 n \ln \left(x \right)}}{2 n}+\frac{b^{2} {\mathrm e}^{5 n \ln \left(x \right)}}{5 n}"," ",0,"1/3*a^2/n*exp(n*ln(x))^3+1/5*b^2/n*exp(n*ln(x))^5+1/2*a*b/n*exp(n*ln(x))^4","A"
2530,1,46,39,0.020000," ","int(x^(2*n-1)*(b*x^n+a)^2,x)","\frac{a^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{2 n}+\frac{2 a b \,{\mathrm e}^{3 n \ln \left(x \right)}}{3 n}+\frac{b^{2} {\mathrm e}^{4 n \ln \left(x \right)}}{4 n}"," ",0,"1/2*a^2/n*exp(n*ln(x))^2+1/4*b^2/n*exp(n*ln(x))^4+2/3*a*b/n*exp(n*ln(x))^3","A"
2531,1,42,17,0.017000," ","int(x^(n-1)*(b*x^n+a)^2,x)","\frac{a^{2} {\mathrm e}^{n \ln \left(x \right)}}{n}+\frac{a b \,{\mathrm e}^{2 n \ln \left(x \right)}}{n}+\frac{b^{2} {\mathrm e}^{3 n \ln \left(x \right)}}{3 n}"," ",0,"a^2/n*exp(n*ln(x))+a*b/n*exp(n*ln(x))^2+1/3*b^2/n*exp(n*ln(x))^3","B"
2532,1,36,30,0.000000," ","int((b*x^n+a)^2/x,x)","\frac{a^{2} \ln \left(x^{n}\right)}{n}+\frac{2 a b \,x^{n}}{n}+\frac{b^{2} x^{2 n}}{2 n}"," ",0,"1/2/n*b^2*(x^n)^2+2*a*b/n*x^n+a^2/n*ln(x^n)","A"
2533,1,43,30,0.015000," ","int(x^(-1-n)*(b*x^n+a)^2,x)","\left(2 a b \,{\mathrm e}^{n \ln \left(x \right)} \ln \left(x \right)+\frac{b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{n}-\frac{a^{2}}{n}\right) {\mathrm e}^{-n \ln \left(x \right)}"," ",0,"(b^2/n*exp(n*ln(x))^2+2*a*b*ln(x)*exp(n*ln(x))-a^2/n)/exp(n*ln(x))","A"
2534,1,43,34,0.015000," ","int(x^(-1-2*n)*(b*x^n+a)^2,x)","\left(b^{2} {\mathrm e}^{2 n \ln \left(x \right)} \ln \left(x \right)-\frac{2 a b \,{\mathrm e}^{n \ln \left(x \right)}}{n}-\frac{a^{2}}{2 n}\right) {\mathrm e}^{-2 n \ln \left(x \right)}"," ",0,"(b^2*ln(x)*exp(n*ln(x))^2-1/2*a^2/n-2*a*b/n*exp(n*ln(x)))/exp(n*ln(x))^2","A"
2535,1,45,24,0.018000," ","int(x^(-1-3*n)*(b*x^n+a)^2,x)","\left(-\frac{a b \,{\mathrm e}^{n \ln \left(x \right)}}{n}-\frac{b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{n}-\frac{a^{2}}{3 n}\right) {\mathrm e}^{-3 n \ln \left(x \right)}"," ",0,"(-1/3*a^2/n-b^2/n*exp(n*ln(x))^2-a*b/n*exp(n*ln(x)))/exp(n*ln(x))^3","A"
2536,1,45,45,0.019000," ","int(x^(-1-4*n)*(b*x^n+a)^2,x)","\left(-\frac{2 a b \,{\mathrm e}^{n \ln \left(x \right)}}{3 n}-\frac{b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{2 n}-\frac{a^{2}}{4 n}\right) {\mathrm e}^{-4 n \ln \left(x \right)}"," ",0,"(-1/4*a^2/n-1/2*b^2/n*exp(n*ln(x))^2-2/3*a*b/n*exp(n*ln(x)))/exp(n*ln(x))^4","A"
2537,1,45,45,0.024000," ","int(x^(-1-5*n)*(b*x^n+a)^2,x)","\left(-\frac{a b \,{\mathrm e}^{n \ln \left(x \right)}}{2 n}-\frac{b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{3 n}-\frac{a^{2}}{5 n}\right) {\mathrm e}^{-5 n \ln \left(x \right)}"," ",0,"(-1/5*a^2/n-1/3*b^2/n*exp(n*ln(x))^2-1/2*a*b/n*exp(n*ln(x)))/exp(n*ln(x))^5","A"
2538,1,40,45,0.023000," ","int(x^(-1-6*n)*(b*x^n+a)^2,x)","-\frac{a^{2} x^{-6 n}}{6 n}-\frac{2 a b \,x^{-5 n}}{5 n}-\frac{b^{2} x^{-4 n}}{4 n}"," ",0,"-1/4*b^2/n/(x^n)^4-2/5*a*b/n/(x^n)^5-1/6*a^2/n/(x^n)^6","A"
2539,1,56,55,0.020000," ","int(x^(-1+4*n)*(b*x^n+a)^3,x)","\frac{a^{3} x^{4 n}}{4 n}+\frac{3 a^{2} b \,x^{5 n}}{5 n}+\frac{a \,b^{2} x^{6 n}}{2 n}+\frac{b^{3} x^{7 n}}{7 n}"," ",0,"1/7*b^3/n*(x^n)^7+1/2*a*b^2/n*(x^n)^6+3/5*a^2*b/n*(x^n)^5+1/4*a^3/n*(x^n)^4","A"
2540,1,56,55,0.020000," ","int(x^(3*n-1)*(b*x^n+a)^3,x)","\frac{a^{3} x^{3 n}}{3 n}+\frac{3 a^{2} b \,x^{4 n}}{4 n}+\frac{3 a \,b^{2} x^{5 n}}{5 n}+\frac{b^{3} x^{6 n}}{6 n}"," ",0,"1/6*b^3/n*(x^n)^6+3/5*a*b^2/n*(x^n)^5+3/4*a^2*b/n*(x^n)^4+1/3*a^3/n*(x^n)^3","A"
2541,1,63,36,0.021000," ","int(x^(2*n-1)*(b*x^n+a)^3,x)","\frac{a^{3} {\mathrm e}^{2 n \ln \left(x \right)}}{2 n}+\frac{a^{2} b \,{\mathrm e}^{3 n \ln \left(x \right)}}{n}+\frac{3 a \,b^{2} {\mathrm e}^{4 n \ln \left(x \right)}}{4 n}+\frac{b^{3} {\mathrm e}^{5 n \ln \left(x \right)}}{5 n}"," ",0,"a^2*b/n*exp(n*ln(x))^3+1/2*a^3/n*exp(n*ln(x))^2+1/5*b^3/n*exp(n*ln(x))^5+3/4*a*b^2/n*exp(n*ln(x))^4","A"
2542,1,60,17,0.022000," ","int(x^(n-1)*(b*x^n+a)^3,x)","\frac{a^{3} {\mathrm e}^{n \ln \left(x \right)}}{n}+\frac{3 a^{2} b \,{\mathrm e}^{2 n \ln \left(x \right)}}{2 n}+\frac{a \,b^{2} {\mathrm e}^{3 n \ln \left(x \right)}}{n}+\frac{b^{3} {\mathrm e}^{4 n \ln \left(x \right)}}{4 n}"," ",0,"a^3/n*exp(n*ln(x))+a*b^2/n*exp(n*ln(x))^3+1/4*b^3/n*exp(n*ln(x))^4+3/2*a^2*b/n*exp(n*ln(x))^2","B"
2543,1,52,46,0.000000," ","int((b*x^n+a)^3/x,x)","\frac{a^{3} \ln \left(x^{n}\right)}{n}+\frac{3 a^{2} b \,x^{n}}{n}+\frac{3 a \,b^{2} x^{2 n}}{2 n}+\frac{b^{3} x^{3 n}}{3 n}"," ",0,"1/3/n*b^3*(x^n)^3+3/2/n*(x^n)^2*a*b^2+3*a^2*b/n*x^n+a^3/n*ln(x^n)","A"
2544,1,62,47,0.017000," ","int(x^(-1-n)*(b*x^n+a)^3,x)","\left(3 a^{2} b \,{\mathrm e}^{n \ln \left(x \right)} \ln \left(x \right)+\frac{3 a \,b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{n}+\frac{b^{3} {\mathrm e}^{3 n \ln \left(x \right)}}{2 n}-\frac{a^{3}}{n}\right) {\mathrm e}^{-n \ln \left(x \right)}"," ",0,"(3*a^2*b*ln(x)*exp(n*ln(x))-a^3/n+1/2*b^3/n*exp(n*ln(x))^3+3*a*b^2/n*exp(n*ln(x))^2)/exp(n*ln(x))","A"
2545,1,61,48,0.017000," ","int(x^(-1-2*n)*(b*x^n+a)^3,x)","\left(3 a \,b^{2} {\mathrm e}^{2 n \ln \left(x \right)} \ln \left(x \right)-\frac{3 a^{2} b \,{\mathrm e}^{n \ln \left(x \right)}}{n}+\frac{b^{3} {\mathrm e}^{3 n \ln \left(x \right)}}{n}-\frac{a^{3}}{2 n}\right) {\mathrm e}^{-2 n \ln \left(x \right)}"," ",0,"(b^3/n*exp(n*ln(x))^3+3*a*b^2*ln(x)*exp(n*ln(x))^2-1/2*a^3/n-3*a^2*b/n*exp(n*ln(x)))/exp(n*ln(x))^2","A"
2546,1,61,52,0.019000," ","int(x^(-1-3*n)*(b*x^n+a)^3,x)","\left(b^{3} {\mathrm e}^{3 n \ln \left(x \right)} \ln \left(x \right)-\frac{3 a^{2} b \,{\mathrm e}^{n \ln \left(x \right)}}{2 n}-\frac{3 a \,b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{n}-\frac{a^{3}}{3 n}\right) {\mathrm e}^{-3 n \ln \left(x \right)}"," ",0,"(b^3*ln(x)*exp(n*ln(x))^3-1/3*a^3/n-3*a*b^2/n*exp(n*ln(x))^2-3/2*a^2*b/n*exp(n*ln(x)))/exp(n*ln(x))^3","A"
2547,1,63,24,0.021000," ","int(x^(-1-4*n)*(b*x^n+a)^3,x)","\left(-\frac{a^{2} b \,{\mathrm e}^{n \ln \left(x \right)}}{n}-\frac{3 a \,b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{2 n}-\frac{b^{3} {\mathrm e}^{3 n \ln \left(x \right)}}{n}-\frac{a^{3}}{4 n}\right) {\mathrm e}^{-4 n \ln \left(x \right)}"," ",0,"(-1/4*a^3/n-b^3/n*exp(n*ln(x))^3-3/2*a*b^2/n*exp(n*ln(x))^2-a^2*b/n*exp(n*ln(x)))/exp(n*ln(x))^4","B"
2548,1,63,50,0.024000," ","int(x^(-1-5*n)*(b*x^n+a)^3,x)","\left(-\frac{3 a^{2} b \,{\mathrm e}^{n \ln \left(x \right)}}{4 n}-\frac{a \,b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{n}-\frac{b^{3} {\mathrm e}^{3 n \ln \left(x \right)}}{2 n}-\frac{a^{3}}{5 n}\right) {\mathrm e}^{-5 n \ln \left(x \right)}"," ",0,"(-1/5*a^3/n-1/2*b^3/n*exp(n*ln(x))^3-a*b^2/n*exp(n*ln(x))^2-3/4*a^2*b/n*exp(n*ln(x)))/exp(n*ln(x))^5","A"
2549,1,56,63,0.022000," ","int(x^(-1-6*n)*(b*x^n+a)^3,x)","-\frac{a^{3} x^{-6 n}}{6 n}-\frac{3 a^{2} b \,x^{-5 n}}{5 n}-\frac{3 a \,b^{2} x^{-4 n}}{4 n}-\frac{b^{3} x^{-3 n}}{3 n}"," ",0,"-1/3*b^3/n/(x^n)^3-3/4*a*b^2/n/(x^n)^4-3/5*a^2*b/n/(x^n)^5-1/6*a^3/n/(x^n)^6","A"
2550,1,56,63,0.022000," ","int(x^(-1-7*n)*(b*x^n+a)^3,x)","-\frac{a^{3} x^{-7 n}}{7 n}-\frac{a^{2} b \,x^{-6 n}}{2 n}-\frac{3 a \,b^{2} x^{-5 n}}{5 n}-\frac{b^{3} x^{-4 n}}{4 n}"," ",0,"-1/4*b^3/n/(x^n)^4-3/5*a*b^2/n/(x^n)^5-1/2*a^2*b/n/(x^n)^6-1/7*a^3/n/(x^n)^7","A"
2551,1,87,76,0.023000," ","int(x^(-1+4*n)*(b*x^n+a)^5,x)","\frac{a^{5} x^{4 n}}{4 n}+\frac{a^{4} b \,x^{5 n}}{n}+\frac{5 a^{3} b^{2} x^{6 n}}{3 n}+\frac{10 a^{2} b^{3} x^{7 n}}{7 n}+\frac{5 a \,b^{4} x^{8 n}}{8 n}+\frac{b^{5} x^{9 n}}{9 n}"," ",0,"1/9*b^5/n*(x^n)^9+5/8*a*b^4/n*(x^n)^8+10/7*a^2*b^3/n*(x^n)^7+5/3*a^3*b^2/n*(x^n)^6+a^4*b/n*(x^n)^5+1/4*a^5/n*(x^n)^4","A"
2552,1,88,56,0.023000," ","int(x^(3*n-1)*(b*x^n+a)^5,x)","\frac{a^{5} x^{3 n}}{3 n}+\frac{5 a^{4} b \,x^{4 n}}{4 n}+\frac{2 a^{3} b^{2} x^{5 n}}{n}+\frac{5 a^{2} b^{3} x^{6 n}}{3 n}+\frac{5 a \,b^{4} x^{7 n}}{7 n}+\frac{b^{5} x^{8 n}}{8 n}"," ",0,"1/8*b^5/n*(x^n)^8+5/7*a*b^4/n*(x^n)^7+5/3*a^2*b^3/n*(x^n)^6+2*a^3*b^2/n*(x^n)^5+5/4*a^4*b/n*(x^n)^4+1/3*a^5/n*(x^n)^3","A"
2553,1,88,36,0.025000," ","int(x^(2*n-1)*(b*x^n+a)^5,x)","\frac{a^{5} x^{2 n}}{2 n}+\frac{5 a^{4} b \,x^{3 n}}{3 n}+\frac{5 a^{3} b^{2} x^{4 n}}{2 n}+\frac{2 a^{2} b^{3} x^{5 n}}{n}+\frac{5 a \,b^{4} x^{6 n}}{6 n}+\frac{b^{5} x^{7 n}}{7 n}"," ",0,"1/7*b^5/n*(x^n)^7+5/6*a*b^4/n*(x^n)^6+2*a^2*b^3/n*(x^n)^5+5/2*a^3*b^2/n*(x^n)^4+5/3*a^4*b/n*(x^n)^3+1/2*a^5/n*(x^n)^2","B"
2554,1,84,17,0.028000," ","int(x^(n-1)*(b*x^n+a)^5,x)","\frac{a^{5} x^{n}}{n}+\frac{5 a^{4} b \,x^{2 n}}{2 n}+\frac{10 a^{3} b^{2} x^{3 n}}{3 n}+\frac{5 a^{2} b^{3} x^{4 n}}{2 n}+\frac{a \,b^{4} x^{5 n}}{n}+\frac{b^{5} x^{6 n}}{6 n}"," ",0,"1/6*b^5/n*(x^n)^6+a*b^4/n*(x^n)^5+5/2*a^2*b^3/n*(x^n)^4+10/3*a^3*b^2/n*(x^n)^3+5/2*a^4*b/n*(x^n)^2+a^5/n*x^n","B"
2555,1,84,78,0.003000," ","int((b*x^n+a)^5/x,x)","\frac{a^{5} \ln \left(x^{n}\right)}{n}+\frac{5 a^{4} b \,x^{n}}{n}+\frac{5 a^{3} b^{2} x^{2 n}}{n}+\frac{10 a^{2} b^{3} x^{3 n}}{3 n}+\frac{5 a \,b^{4} x^{4 n}}{4 n}+\frac{b^{5} x^{5 n}}{5 n}"," ",0,"1/5/n*b^5*(x^n)^5+5/4/n*(x^n)^4*a*b^4+10/3/n*a^2*b^3*(x^n)^3+5/n*(x^n)^2*a^3*b^2+5*a^4*b*x^n/n+1/n*a^5*ln(x^n)","A"
2556,1,98,79,0.026000," ","int(x^(-1-n)*(b*x^n+a)^5,x)","\left(5 a^{4} b \,{\mathrm e}^{n \ln \left(x \right)} \ln \left(x \right)+\frac{10 a^{3} b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{n}+\frac{5 a^{2} b^{3} {\mathrm e}^{3 n \ln \left(x \right)}}{n}+\frac{5 a \,b^{4} {\mathrm e}^{4 n \ln \left(x \right)}}{3 n}+\frac{b^{5} {\mathrm e}^{5 n \ln \left(x \right)}}{4 n}-\frac{a^{5}}{n}\right) {\mathrm e}^{-n \ln \left(x \right)}"," ",0,"(5*a^4*b*ln(x)*exp(n*ln(x))-a^5/n+1/4*b^5/n*exp(n*ln(x))^5+5/3*a*b^4/n*exp(n*ln(x))^4+5*a^2*b^3/n*exp(n*ln(x))^3+10*a^3*b^2/n*exp(n*ln(x))^2)/exp(n*ln(x))","A"
2557,1,98,81,0.023000," ","int(x^(-1-2*n)*(b*x^n+a)^5,x)","\left(10 a^{3} b^{2} {\mathrm e}^{2 n \ln \left(x \right)} \ln \left(x \right)-\frac{5 a^{4} b \,{\mathrm e}^{n \ln \left(x \right)}}{n}+\frac{10 a^{2} b^{3} {\mathrm e}^{3 n \ln \left(x \right)}}{n}+\frac{5 a \,b^{4} {\mathrm e}^{4 n \ln \left(x \right)}}{2 n}+\frac{b^{5} {\mathrm e}^{5 n \ln \left(x \right)}}{3 n}-\frac{a^{5}}{2 n}\right) {\mathrm e}^{-2 n \ln \left(x \right)}"," ",0,"(10*a^3*b^2*ln(x)*exp(n*ln(x))^2-1/2*a^5/n+1/3*b^5/n*exp(n*ln(x))^5+5/2*a*b^4/n*exp(n*ln(x))^4+10*a^2*b^3/n*exp(n*ln(x))^3-5*a^4*b/n*exp(n*ln(x)))/exp(n*ln(x))^2","A"
2558,1,98,83,0.023000," ","int(x^(-1-3*n)*(b*x^n+a)^5,x)","\left(10 a^{2} b^{3} {\mathrm e}^{3 n \ln \left(x \right)} \ln \left(x \right)-\frac{5 a^{4} b \,{\mathrm e}^{n \ln \left(x \right)}}{2 n}-\frac{10 a^{3} b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{n}+\frac{5 a \,b^{4} {\mathrm e}^{4 n \ln \left(x \right)}}{n}+\frac{b^{5} {\mathrm e}^{5 n \ln \left(x \right)}}{2 n}-\frac{a^{5}}{3 n}\right) {\mathrm e}^{-3 n \ln \left(x \right)}"," ",0,"(10*a^2*b^3*ln(x)*exp(n*ln(x))^3-1/3*a^5/n+1/2*b^5/n*exp(n*ln(x))^5+5*a*b^4/n*exp(n*ln(x))^4-10*a^3*b^2/n*exp(n*ln(x))^2-5/2*a^4*b/n*exp(n*ln(x)))/exp(n*ln(x))^3","A"
2559,1,97,84,0.025000," ","int(x^(-1-4*n)*(b*x^n+a)^5,x)","\left(5 a \,b^{4} {\mathrm e}^{4 n \ln \left(x \right)} \ln \left(x \right)-\frac{5 a^{4} b \,{\mathrm e}^{n \ln \left(x \right)}}{3 n}-\frac{5 a^{3} b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{n}-\frac{10 a^{2} b^{3} {\mathrm e}^{3 n \ln \left(x \right)}}{n}+\frac{b^{5} {\mathrm e}^{5 n \ln \left(x \right)}}{n}-\frac{a^{5}}{4 n}\right) {\mathrm e}^{-4 n \ln \left(x \right)}"," ",0,"(b^5/n*exp(n*ln(x))^5+5*a*b^4*ln(x)*exp(n*ln(x))^4-1/4*a^5/n-10*a^2*b^3/n*exp(n*ln(x))^3-5*a^3*b^2/n*exp(n*ln(x))^2-5/3*a^4*b/n*exp(n*ln(x)))/exp(n*ln(x))^4","A"
2560,1,97,88,0.024000," ","int(x^(-1-5*n)*(b*x^n+a)^5,x)","\left(b^{5} {\mathrm e}^{5 n \ln \left(x \right)} \ln \left(x \right)-\frac{5 a^{4} b \,{\mathrm e}^{n \ln \left(x \right)}}{4 n}-\frac{10 a^{3} b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{3 n}-\frac{5 a^{2} b^{3} {\mathrm e}^{3 n \ln \left(x \right)}}{n}-\frac{5 a \,b^{4} {\mathrm e}^{4 n \ln \left(x \right)}}{n}-\frac{a^{5}}{5 n}\right) {\mathrm e}^{-5 n \ln \left(x \right)}"," ",0,"(b^5*ln(x)*exp(n*ln(x))^5-1/5*a^5/n-5*a*b^4/n*exp(n*ln(x))^4-5*a^2*b^3/n*exp(n*ln(x))^3-10/3*a^3*b^2/n*exp(n*ln(x))^2-5/4*a^4*b/n*exp(n*ln(x)))/exp(n*ln(x))^5","A"
2561,1,88,24,0.021000," ","int(x^(-1-6*n)*(b*x^n+a)^5,x)","-\frac{a^{5} x^{-6 n}}{6 n}-\frac{a^{4} b \,x^{-5 n}}{n}-\frac{5 a^{3} b^{2} x^{-4 n}}{2 n}-\frac{10 a^{2} b^{3} x^{-3 n}}{3 n}-\frac{5 a \,b^{4} x^{-2 n}}{2 n}-\frac{b^{5} x^{-n}}{n}"," ",0,"-b^5/n/(x^n)-5/2*a*b^4/n/(x^n)^2-10/3*a^2*b^3/n/(x^n)^3-5/2*a^3*b^2/n/(x^n)^4-a^4*b/n/(x^n)^5-1/6*a^5/n/(x^n)^6","B"
2562,1,88,50,0.024000," ","int(x^(-1-7*n)*(b*x^n+a)^5,x)","-\frac{a^{5} x^{-7 n}}{7 n}-\frac{5 a^{4} b \,x^{-6 n}}{6 n}-\frac{2 a^{3} b^{2} x^{-5 n}}{n}-\frac{5 a^{2} b^{3} x^{-4 n}}{2 n}-\frac{5 a \,b^{4} x^{-3 n}}{3 n}-\frac{b^{5} x^{-2 n}}{2 n}"," ",0,"-1/2*b^5/n/(x^n)^2-5/3*a*b^4/n/(x^n)^3-5/2*a^2*b^3/n/(x^n)^4-2*a^3*b^2/n/(x^n)^5-5/6*a^4*b/n/(x^n)^6-1/7*a^5/n/(x^n)^7","A"
2563,1,88,77,0.023000," ","int(x^(-1-8*n)*(b*x^n+a)^5,x)","-\frac{a^{5} x^{-8 n}}{8 n}-\frac{5 a^{4} b \,x^{-7 n}}{7 n}-\frac{5 a^{3} b^{2} x^{-6 n}}{3 n}-\frac{2 a^{2} b^{3} x^{-5 n}}{n}-\frac{5 a \,b^{4} x^{-4 n}}{4 n}-\frac{b^{5} x^{-3 n}}{3 n}"," ",0,"-1/3*b^5/n/(x^n)^3-5/4*a*b^4/n/(x^n)^4-2*a^2*b^3/n/(x^n)^5-5/3*a^3*b^2/n/(x^n)^6-5/7*a^4*b/n/(x^n)^7-1/8*a^5/n/(x^n)^8","A"
2564,1,88,99,0.023000," ","int(x^(-1-9*n)*(b*x^n+a)^5,x)","-\frac{a^{5} x^{-9 n}}{9 n}-\frac{5 a^{4} b \,x^{-8 n}}{8 n}-\frac{10 a^{3} b^{2} x^{-7 n}}{7 n}-\frac{5 a^{2} b^{3} x^{-6 n}}{3 n}-\frac{a \,b^{4} x^{-5 n}}{n}-\frac{b^{5} x^{-4 n}}{4 n}"," ",0,"-1/4*b^5/n/(x^n)^4-a*b^4/n/(x^n)^5-5/3*a^2*b^3/n/(x^n)^6-10/7*a^3*b^2/n/(x^n)^7-5/8*a^4*b/n/(x^n)^8-1/9*a^5/n/(x^n)^9","A"
2565,1,88,99,0.025000," ","int(x^(-1-10*n)*(b*x^n+a)^5,x)","-\frac{a^{5} x^{-10 n}}{10 n}-\frac{5 a^{4} b \,x^{-9 n}}{9 n}-\frac{5 a^{3} b^{2} x^{-8 n}}{4 n}-\frac{10 a^{2} b^{3} x^{-7 n}}{7 n}-\frac{5 a \,b^{4} x^{-6 n}}{6 n}-\frac{b^{5} x^{-5 n}}{5 n}"," ",0,"-1/5*b^5/n/(x^n)^5-5/6*a*b^4/n/(x^n)^6-10/7*a^2*b^3/n/(x^n)^7-5/4*a^3*b^2/n/(x^n)^8-5/9*a^4*b/n/(x^n)^9-1/10*a^5/n/(x^n)^10","A"
2566,1,136,135,0.028000," ","int(x^(-1+9*n)*(b*x^n+a)^8,x)","\frac{a^{8} x^{9 n}}{9 n}+\frac{4 a^{7} b \,x^{10 n}}{5 n}+\frac{28 a^{6} b^{2} x^{11 n}}{11 n}+\frac{14 a^{5} b^{3} x^{12 n}}{3 n}+\frac{70 a^{4} b^{4} x^{13 n}}{13 n}+\frac{4 a^{3} b^{5} x^{14 n}}{n}+\frac{28 a^{2} b^{6} x^{15 n}}{15 n}+\frac{a \,b^{7} x^{16 n}}{2 n}+\frac{b^{8} x^{17 n}}{17 n}"," ",0,"1/17*b^8/n*(x^n)^17+1/2*a*b^7/n*(x^n)^16+28/15*a^2*b^6/n*(x^n)^15+4*a^3*b^5/n*(x^n)^14+70/13*a^4*b^4/n*(x^n)^13+14/3*a^5*b^3/n*(x^n)^12+28/11*a^6*b^2/n*(x^n)^11+4/5*a^7*b/n*(x^n)^10+1/9*a^8/n*(x^n)^9","A"
2567,1,136,135,0.025000," ","int(x^(-1+8*n)*(b*x^n+a)^8,x)","\frac{a^{8} x^{8 n}}{8 n}+\frac{8 a^{7} b \,x^{9 n}}{9 n}+\frac{14 a^{6} b^{2} x^{10 n}}{5 n}+\frac{56 a^{5} b^{3} x^{11 n}}{11 n}+\frac{35 a^{4} b^{4} x^{12 n}}{6 n}+\frac{56 a^{3} b^{5} x^{13 n}}{13 n}+\frac{2 a^{2} b^{6} x^{14 n}}{n}+\frac{8 a \,b^{7} x^{15 n}}{15 n}+\frac{b^{8} x^{16 n}}{16 n}"," ",0,"1/16*b^8/n*(x^n)^16+8/15*a*b^7/n*(x^n)^15+2*a^2*b^6/n*(x^n)^14+56/13*a^3*b^5/n*(x^n)^13+35/6*a^4*b^4/n*(x^n)^12+56/11*a^5*b^3/n*(x^n)^11+14/5*a^6*b^2/n*(x^n)^10+8/9*a^7*b/n*(x^n)^9+1/8*a^8/n*(x^n)^8","A"
2568,1,135,136,0.026000," ","int(x^(-1+7*n)*(b*x^n+a)^8,x)","\frac{a^{8} x^{7 n}}{7 n}+\frac{a^{7} b \,x^{8 n}}{n}+\frac{28 a^{6} b^{2} x^{9 n}}{9 n}+\frac{28 a^{5} b^{3} x^{10 n}}{5 n}+\frac{70 a^{4} b^{4} x^{11 n}}{11 n}+\frac{14 a^{3} b^{5} x^{12 n}}{3 n}+\frac{28 a^{2} b^{6} x^{13 n}}{13 n}+\frac{4 a \,b^{7} x^{14 n}}{7 n}+\frac{b^{8} x^{15 n}}{15 n}"," ",0,"1/15*b^8/n*(x^n)^15+4/7*a*b^7/n*(x^n)^14+28/13*a^2*b^6/n*(x^n)^13+14/3*a^3*b^5/n*(x^n)^12+70/11*a^4*b^4/n*(x^n)^11+28/5*a^5*b^3/n*(x^n)^10+28/9*a^6*b^2/n*(x^n)^9+a^7*b/n*(x^n)^8+1/7*a^8/n*(x^n)^7","A"
2569,1,136,116,0.028000," ","int(x^(-1+6*n)*(b*x^n+a)^8,x)","\frac{a^{8} x^{6 n}}{6 n}+\frac{8 a^{7} b \,x^{7 n}}{7 n}+\frac{7 a^{6} b^{2} x^{8 n}}{2 n}+\frac{56 a^{5} b^{3} x^{9 n}}{9 n}+\frac{7 a^{4} b^{4} x^{10 n}}{n}+\frac{56 a^{3} b^{5} x^{11 n}}{11 n}+\frac{7 a^{2} b^{6} x^{12 n}}{3 n}+\frac{8 a \,b^{7} x^{13 n}}{13 n}+\frac{b^{8} x^{14 n}}{14 n}"," ",0,"1/14*b^8/n*(x^n)^14+8/13*a*b^7/n*(x^n)^13+7/3*a^2*b^6/n*(x^n)^12+56/11*a^3*b^5/n*(x^n)^11+7*a^4*b^4/n*(x^n)^10+56/9*a^5*b^3/n*(x^n)^9+7/2*a^6*b^2/n*(x^n)^8+8/7*a^7*b/n*(x^n)^7+1/6*a^8/n*(x^n)^6","A"
2570,1,136,96,0.026000," ","int(x^(-1+5*n)*(b*x^n+a)^8,x)","\frac{a^{8} x^{5 n}}{5 n}+\frac{4 a^{7} b \,x^{6 n}}{3 n}+\frac{4 a^{6} b^{2} x^{7 n}}{n}+\frac{7 a^{5} b^{3} x^{8 n}}{n}+\frac{70 a^{4} b^{4} x^{9 n}}{9 n}+\frac{28 a^{3} b^{5} x^{10 n}}{5 n}+\frac{28 a^{2} b^{6} x^{11 n}}{11 n}+\frac{2 a \,b^{7} x^{12 n}}{3 n}+\frac{b^{8} x^{13 n}}{13 n}"," ",0,"1/13*b^8/n*(x^n)^13+2/3*a*b^7/n*(x^n)^12+28/11*a^2*b^6/n*(x^n)^11+28/5*a^3*b^5/n*(x^n)^10+70/9*a^4*b^4/n*(x^n)^9+7*a^5*b^3/n*(x^n)^8+4*a^6*b^2/n*(x^n)^7+4/3*a^7*b/n*(x^n)^6+1/5*a^8/n*(x^n)^5","A"
2571,1,136,76,0.028000," ","int(x^(-1+4*n)*(b*x^n+a)^8,x)","\frac{a^{8} x^{4 n}}{4 n}+\frac{8 a^{7} b \,x^{5 n}}{5 n}+\frac{14 a^{6} b^{2} x^{6 n}}{3 n}+\frac{8 a^{5} b^{3} x^{7 n}}{n}+\frac{35 a^{4} b^{4} x^{8 n}}{4 n}+\frac{56 a^{3} b^{5} x^{9 n}}{9 n}+\frac{14 a^{2} b^{6} x^{10 n}}{5 n}+\frac{8 a \,b^{7} x^{11 n}}{11 n}+\frac{b^{8} x^{12 n}}{12 n}"," ",0,"1/12*b^8/n*(x^n)^12+8/11*a*b^7/n*(x^n)^11+14/5*a^2*b^6/n*(x^n)^10+56/9*a^3*b^5/n*(x^n)^9+35/4*a^4*b^4/n*(x^n)^8+8*a^5*b^3/n*(x^n)^7+14/3*a^6*b^2/n*(x^n)^6+8/5*a^7*b/n*(x^n)^5+1/4*a^8/n*(x^n)^4","A"
2572,1,136,56,0.026000," ","int(x^(3*n-1)*(b*x^n+a)^8,x)","\frac{a^{8} x^{3 n}}{3 n}+\frac{2 a^{7} b \,x^{4 n}}{n}+\frac{28 a^{6} b^{2} x^{5 n}}{5 n}+\frac{28 a^{5} b^{3} x^{6 n}}{3 n}+\frac{10 a^{4} b^{4} x^{7 n}}{n}+\frac{7 a^{3} b^{5} x^{8 n}}{n}+\frac{28 a^{2} b^{6} x^{9 n}}{9 n}+\frac{4 a \,b^{7} x^{10 n}}{5 n}+\frac{b^{8} x^{11 n}}{11 n}"," ",0,"1/11*b^8/n*(x^n)^11+4/5*a*b^7/n*(x^n)^10+28/9*a^2*b^6/n*(x^n)^9+7*a^3*b^5/n*(x^n)^8+10*a^4*b^4/n*(x^n)^7+28/3*a^5*b^3/n*(x^n)^6+28/5*a^6*b^2/n*(x^n)^5+2*a^7*b/n*(x^n)^4+1/3*a^8/n*(x^n)^3","B"
2573,1,136,36,0.027000," ","int(x^(2*n-1)*(b*x^n+a)^8,x)","\frac{a^{8} x^{2 n}}{2 n}+\frac{8 a^{7} b \,x^{3 n}}{3 n}+\frac{7 a^{6} b^{2} x^{4 n}}{n}+\frac{56 a^{5} b^{3} x^{5 n}}{5 n}+\frac{35 a^{4} b^{4} x^{6 n}}{3 n}+\frac{8 a^{3} b^{5} x^{7 n}}{n}+\frac{7 a^{2} b^{6} x^{8 n}}{2 n}+\frac{8 a \,b^{7} x^{9 n}}{9 n}+\frac{b^{8} x^{10 n}}{10 n}"," ",0,"1/10*b^8/n*(x^n)^10+8/9*a*b^7/n*(x^n)^9+7/2*a^2*b^6/n*(x^n)^8+8*a^3*b^5/n*(x^n)^7+35/3*a^4*b^4/n*(x^n)^6+56/5*a^5*b^3/n*(x^n)^5+7*a^6*b^2/n*(x^n)^4+8/3*a^7*b/n*(x^n)^3+1/2*a^8/n*(x^n)^2","B"
2574,1,132,17,0.026000," ","int(x^(n-1)*(b*x^n+a)^8,x)","\frac{a^{8} x^{n}}{n}+\frac{4 a^{7} b \,x^{2 n}}{n}+\frac{28 a^{6} b^{2} x^{3 n}}{3 n}+\frac{14 a^{5} b^{3} x^{4 n}}{n}+\frac{14 a^{4} b^{4} x^{5 n}}{n}+\frac{28 a^{3} b^{5} x^{6 n}}{3 n}+\frac{4 a^{2} b^{6} x^{7 n}}{n}+\frac{a \,b^{7} x^{8 n}}{n}+\frac{b^{8} x^{9 n}}{9 n}"," ",0,"1/9*b^8/n*(x^n)^9+a*b^7/n*(x^n)^8+4*a^2*b^6/n*(x^n)^7+28/3*a^3*b^5/n*(x^n)^6+14*a^4*b^4/n*(x^n)^5+14*a^5*b^3/n*(x^n)^4+28/3*a^6*b^2/n*(x^n)^3+4*a^7*b/n*(x^n)^2+a^8/n*x^n","B"
2575,1,132,126,0.005000," ","int((b*x^n+a)^8/x,x)","\frac{a^{8} \ln \left(x^{n}\right)}{n}+\frac{8 a^{7} b \,x^{n}}{n}+\frac{14 a^{6} b^{2} x^{2 n}}{n}+\frac{56 a^{5} b^{3} x^{3 n}}{3 n}+\frac{35 a^{4} b^{4} x^{4 n}}{2 n}+\frac{56 a^{3} b^{5} x^{5 n}}{5 n}+\frac{14 a^{2} b^{6} x^{6 n}}{3 n}+\frac{8 a \,b^{7} x^{7 n}}{7 n}+\frac{b^{8} x^{8 n}}{8 n}"," ",0,"1/8/n*b^8*(x^n)^8+8/7/n*a*b^7*(x^n)^7+14/3/n*a^2*b^6*(x^n)^6+56/5/n*(x^n)^5*b^5*a^3+35/2/n*a^4*b^4*(x^n)^4+56/3/n*b^3*(x^n)^3*a^5+14/n*a^6*(x^n)^2*b^2+8*a^7*b*x^n/n+1/n*a^8*ln(x^n)","A"
2576,1,128,127,0.029000," ","int(x^(-1-n)*(b*x^n+a)^8,x)","8 a^{7} b \ln \left(x \right)-\frac{a^{8} x^{-n}}{n}+\frac{28 a^{6} b^{2} x^{n}}{n}+\frac{28 a^{5} b^{3} x^{2 n}}{n}+\frac{70 a^{4} b^{4} x^{3 n}}{3 n}+\frac{14 a^{3} b^{5} x^{4 n}}{n}+\frac{28 a^{2} b^{6} x^{5 n}}{5 n}+\frac{4 a \,b^{7} x^{6 n}}{3 n}+\frac{b^{8} x^{7 n}}{7 n}"," ",0,"8*a^7*b*ln(x)+1/7*b^8/n*(x^n)^7+4/3*a*b^7/n*(x^n)^6+28/5*a^2*b^6/n*(x^n)^5+14*a^3*b^5/n*(x^n)^4+70/3*a^4*b^4/n*(x^n)^3+28*a^5*b^3/n*(x^n)^2+28*a^6*b^2*x^n/n-a^8/n/(x^n)","A"
2577,1,128,129,0.029000," ","int(x^(-1-2*n)*(b*x^n+a)^8,x)","28 a^{6} b^{2} \ln \left(x \right)-\frac{a^{8} x^{-2 n}}{2 n}-\frac{8 a^{7} b \,x^{-n}}{n}+\frac{56 a^{5} b^{3} x^{n}}{n}+\frac{35 a^{4} b^{4} x^{2 n}}{n}+\frac{56 a^{3} b^{5} x^{3 n}}{3 n}+\frac{7 a^{2} b^{6} x^{4 n}}{n}+\frac{8 a \,b^{7} x^{5 n}}{5 n}+\frac{b^{8} x^{6 n}}{6 n}"," ",0,"28*a^6*b^2*ln(x)+1/6*b^8/n*(x^n)^6+8/5*a*b^7/n*(x^n)^5+7*a^2*b^6/n*(x^n)^4+56/3*a^3*b^5/n*(x^n)^3+35*a^4*b^4/n*(x^n)^2+56*a^5*b^3*x^n/n-8*a^7*b/n/(x^n)-1/2*a^8/n/(x^n)^2","A"
2578,1,128,131,0.029000," ","int(x^(-1-3*n)*(b*x^n+a)^8,x)","56 a^{5} b^{3} \ln \left(x \right)-\frac{a^{8} x^{-3 n}}{3 n}-\frac{4 a^{7} b \,x^{-2 n}}{n}-\frac{28 a^{6} b^{2} x^{-n}}{n}+\frac{70 a^{4} b^{4} x^{n}}{n}+\frac{28 a^{3} b^{5} x^{2 n}}{n}+\frac{28 a^{2} b^{6} x^{3 n}}{3 n}+\frac{2 a \,b^{7} x^{4 n}}{n}+\frac{b^{8} x^{5 n}}{5 n}"," ",0,"56*a^5*b^3*ln(x)+1/5*b^8/n*(x^n)^5+2*a*b^7/n*(x^n)^4+28/3*a^2*b^6/n*(x^n)^3+28*a^3*b^5/n*(x^n)^2+70*a^4*b^4*x^n/n-28*a^6*b^2/n/(x^n)-4*a^7*b/n/(x^n)^2-1/3*a^8/n/(x^n)^3","A"
2579,1,128,133,0.030000," ","int(x^(-1-4*n)*(b*x^n+a)^8,x)","70 a^{4} b^{4} \ln \left(x \right)-\frac{a^{8} x^{-4 n}}{4 n}-\frac{8 a^{7} b \,x^{-3 n}}{3 n}-\frac{14 a^{6} b^{2} x^{-2 n}}{n}-\frac{56 a^{5} b^{3} x^{-n}}{n}+\frac{56 a^{3} b^{5} x^{n}}{n}+\frac{14 a^{2} b^{6} x^{2 n}}{n}+\frac{8 a \,b^{7} x^{3 n}}{3 n}+\frac{b^{8} x^{4 n}}{4 n}"," ",0,"70*a^4*b^4*ln(x)+1/4*b^8/n*(x^n)^4+8/3*a*b^7/n*(x^n)^3+14*a^2*b^6/n*(x^n)^2+56*a^3*b^5*x^n/n-56*a^5*b^3/n/(x^n)-14*a^6*b^2/n/(x^n)^2-8/3*a^7*b/n/(x^n)^3-1/4*a^8/n/(x^n)^4","A"
2580,1,128,135,0.029000," ","int(x^(-1-5*n)*(b*x^n+a)^8,x)","56 a^{3} b^{5} \ln \left(x \right)-\frac{a^{8} x^{-5 n}}{5 n}-\frac{2 a^{7} b \,x^{-4 n}}{n}-\frac{28 a^{6} b^{2} x^{-3 n}}{3 n}-\frac{28 a^{5} b^{3} x^{-2 n}}{n}-\frac{70 a^{4} b^{4} x^{-n}}{n}+\frac{28 a^{2} b^{6} x^{n}}{n}+\frac{4 a \,b^{7} x^{2 n}}{n}+\frac{b^{8} x^{3 n}}{3 n}"," ",0,"56*a^3*b^5*ln(x)+1/3*b^8/n*(x^n)^3+4*a*b^7/n*(x^n)^2+28*a^2*b^6*x^n/n-70*a^4*b^4/n/(x^n)-28*a^5*b^3/n/(x^n)^2-28/3*a^6*b^2/n/(x^n)^3-2*a^7*b/n/(x^n)^4-1/5*a^8/n/(x^n)^5","A"
2581,1,128,137,0.029000," ","int(x^(-1-6*n)*(b*x^n+a)^8,x)","28 a^{2} b^{6} \ln \left(x \right)-\frac{a^{8} x^{-6 n}}{6 n}-\frac{8 a^{7} b \,x^{-5 n}}{5 n}-\frac{7 a^{6} b^{2} x^{-4 n}}{n}-\frac{56 a^{5} b^{3} x^{-3 n}}{3 n}-\frac{35 a^{4} b^{4} x^{-2 n}}{n}-\frac{56 a^{3} b^{5} x^{-n}}{n}+\frac{8 a \,b^{7} x^{n}}{n}+\frac{b^{8} x^{2 n}}{2 n}"," ",0,"28*a^2*b^6*ln(x)+1/2*b^8/n*(x^n)^2+8*a*b^7*x^n/n-56*a^3*b^5/n/(x^n)-35*a^4*b^4/n/(x^n)^2-56/3*a^5*b^3/n/(x^n)^3-7*a^6*b^2/n/(x^n)^4-8/5*a^7*b/n/(x^n)^5-1/6*a^8/n/(x^n)^6","A"
2582,1,127,138,0.028000," ","int(x^(-1-7*n)*(b*x^n+a)^8,x)","8 a \,b^{7} \ln \left(x \right)-\frac{a^{8} x^{-7 n}}{7 n}-\frac{4 a^{7} b \,x^{-6 n}}{3 n}-\frac{28 a^{6} b^{2} x^{-5 n}}{5 n}-\frac{14 a^{5} b^{3} x^{-4 n}}{n}-\frac{70 a^{4} b^{4} x^{-3 n}}{3 n}-\frac{28 a^{3} b^{5} x^{-2 n}}{n}-\frac{28 a^{2} b^{6} x^{-n}}{n}+\frac{b^{8} x^{n}}{n}"," ",0,"8*a*b^7*ln(x)+b^8*x^n/n-28*a^2*b^6/n/(x^n)-28*a^3*b^5/n/(x^n)^2-70/3*a^4*b^4/n/(x^n)^3-14*a^5*b^3/n/(x^n)^4-28/5*a^6*b^2/n/(x^n)^5-4/3*a^7*b/n/(x^n)^6-1/7*a^8/n/(x^n)^7","A"
2583,1,129,142,0.030000," ","int(x^(-1-8*n)*(b*x^n+a)^8,x)","b^{8} \ln \left(x \right)-\frac{a^{8} x^{-8 n}}{8 n}-\frac{8 a^{7} b \,x^{-7 n}}{7 n}-\frac{14 a^{6} b^{2} x^{-6 n}}{3 n}-\frac{56 a^{5} b^{3} x^{-5 n}}{5 n}-\frac{35 a^{4} b^{4} x^{-4 n}}{2 n}-\frac{56 a^{3} b^{5} x^{-3 n}}{3 n}-\frac{14 a^{2} b^{6} x^{-2 n}}{n}-\frac{8 a \,b^{7} x^{-n}}{n}"," ",0,"b^8*ln(x)-8*a*b^7/n/(x^n)-14*a^2*b^6/n/(x^n)^2-56/3*a^3*b^5/n/(x^n)^3-35/2*a^4*b^4/n/(x^n)^4-56/5*a^5*b^3/n/(x^n)^5-14/3*a^6*b^2/n/(x^n)^6-8/7*a^7*b/n/(x^n)^7-1/8*a^8/n/(x^n)^8","A"
2584,1,136,24,0.027000," ","int(x^(-1-9*n)*(b*x^n+a)^8,x)","-\frac{a^{8} x^{-9 n}}{9 n}-\frac{a^{7} b \,x^{-8 n}}{n}-\frac{4 a^{6} b^{2} x^{-7 n}}{n}-\frac{28 a^{5} b^{3} x^{-6 n}}{3 n}-\frac{14 a^{4} b^{4} x^{-5 n}}{n}-\frac{14 a^{3} b^{5} x^{-4 n}}{n}-\frac{28 a^{2} b^{6} x^{-3 n}}{3 n}-\frac{4 a \,b^{7} x^{-2 n}}{n}-\frac{b^{8} x^{-n}}{n}"," ",0,"-b^8/n/(x^n)-4*a*b^7/n/(x^n)^2-28/3*a^2*b^6/n/(x^n)^3-14*a^3*b^5/n/(x^n)^4-14*a^4*b^4/n/(x^n)^5-28/3*a^5*b^3/n/(x^n)^6-4*a^6*b^2/n/(x^n)^7-a^7*b/n/(x^n)^8-1/9*a^8/n/(x^n)^9","B"
2585,1,136,50,0.027000," ","int(x^(-1-10*n)*(b*x^n+a)^8,x)","-\frac{a^{8} x^{-10 n}}{10 n}-\frac{8 a^{7} b \,x^{-9 n}}{9 n}-\frac{7 a^{6} b^{2} x^{-8 n}}{2 n}-\frac{8 a^{5} b^{3} x^{-7 n}}{n}-\frac{35 a^{4} b^{4} x^{-6 n}}{3 n}-\frac{56 a^{3} b^{5} x^{-5 n}}{5 n}-\frac{7 a^{2} b^{6} x^{-4 n}}{n}-\frac{8 a \,b^{7} x^{-3 n}}{3 n}-\frac{b^{8} x^{-2 n}}{2 n}"," ",0,"-1/2*b^8/n/(x^n)^2-8/3*a*b^7/n/(x^n)^3-7*a^2*b^6/n/(x^n)^4-56/5*a^3*b^5/n/(x^n)^5-35/3*a^4*b^4/n/(x^n)^6-8*a^5*b^3/n/(x^n)^7-7/2*a^6*b^2/n/(x^n)^8-8/9*a^7*b/n/(x^n)^9-1/10*a^8/n/(x^n)^10","B"
2586,1,136,77,0.025000," ","int(x^(-1-11*n)*(b*x^n+a)^8,x)","-\frac{a^{8} x^{-11 n}}{11 n}-\frac{4 a^{7} b \,x^{-10 n}}{5 n}-\frac{28 a^{6} b^{2} x^{-9 n}}{9 n}-\frac{7 a^{5} b^{3} x^{-8 n}}{n}-\frac{10 a^{4} b^{4} x^{-7 n}}{n}-\frac{28 a^{3} b^{5} x^{-6 n}}{3 n}-\frac{28 a^{2} b^{6} x^{-5 n}}{5 n}-\frac{2 a \,b^{7} x^{-4 n}}{n}-\frac{b^{8} x^{-3 n}}{3 n}"," ",0,"-1/3*b^8/n/(x^n)^3-2*a*b^7/n/(x^n)^4-28/5*a^2*b^6/n/(x^n)^5-28/3*a^3*b^5/n/(x^n)^6-10*a^4*b^4/n/(x^n)^7-7*a^5*b^3/n/(x^n)^8-28/9*a^6*b^2/n/(x^n)^9-4/5*a^7*b/n/(x^n)^10-1/11*a^8/n/(x^n)^11","A"
2587,1,136,104,0.028000," ","int(x^(-1-12*n)*(b*x^n+a)^8,x)","-\frac{a^{8} x^{-12 n}}{12 n}-\frac{8 a^{7} b \,x^{-11 n}}{11 n}-\frac{14 a^{6} b^{2} x^{-10 n}}{5 n}-\frac{56 a^{5} b^{3} x^{-9 n}}{9 n}-\frac{35 a^{4} b^{4} x^{-8 n}}{4 n}-\frac{8 a^{3} b^{5} x^{-7 n}}{n}-\frac{14 a^{2} b^{6} x^{-6 n}}{3 n}-\frac{8 a \,b^{7} x^{-5 n}}{5 n}-\frac{b^{8} x^{-4 n}}{4 n}"," ",0,"-1/4*b^8/n/(x^n)^4-8/5*a*b^7/n/(x^n)^5-14/3*a^2*b^6/n/(x^n)^6-8*a^3*b^5/n/(x^n)^7-35/4*a^4*b^4/n/(x^n)^8-56/9*a^5*b^3/n/(x^n)^9-14/5*a^6*b^2/n/(x^n)^10-8/11*a^7*b/n/(x^n)^11-1/12*a^8/n/(x^n)^12","A"
2588,1,136,131,0.026000," ","int(x^(-1-13*n)*(b*x^n+a)^8,x)","-\frac{a^{8} x^{-13 n}}{13 n}-\frac{2 a^{7} b \,x^{-12 n}}{3 n}-\frac{28 a^{6} b^{2} x^{-11 n}}{11 n}-\frac{28 a^{5} b^{3} x^{-10 n}}{5 n}-\frac{70 a^{4} b^{4} x^{-9 n}}{9 n}-\frac{7 a^{3} b^{5} x^{-8 n}}{n}-\frac{4 a^{2} b^{6} x^{-7 n}}{n}-\frac{4 a \,b^{7} x^{-6 n}}{3 n}-\frac{b^{8} x^{-5 n}}{5 n}"," ",0,"-1/5*b^8/n/(x^n)^5-4/3*a*b^7/n/(x^n)^6-4*a^2*b^6/n/(x^n)^7-7*a^3*b^5/n/(x^n)^8-70/9*a^4*b^4/n/(x^n)^9-28/5*a^5*b^3/n/(x^n)^10-28/11*a^6*b^2/n/(x^n)^11-2/3*a^7*b/n/(x^n)^12-1/13*a^8/n/(x^n)^13","A"
2589,1,136,153,0.027000," ","int(x^(-1-14*n)*(b*x^n+a)^8,x)","-\frac{a^{8} x^{-14 n}}{14 n}-\frac{8 a^{7} b \,x^{-13 n}}{13 n}-\frac{7 a^{6} b^{2} x^{-12 n}}{3 n}-\frac{56 a^{5} b^{3} x^{-11 n}}{11 n}-\frac{7 a^{4} b^{4} x^{-10 n}}{n}-\frac{56 a^{3} b^{5} x^{-9 n}}{9 n}-\frac{7 a^{2} b^{6} x^{-8 n}}{2 n}-\frac{8 a \,b^{7} x^{-7 n}}{7 n}-\frac{b^{8} x^{-6 n}}{6 n}"," ",0,"-1/6*b^8/n/(x^n)^6-8/7*a*b^7/n/(x^n)^7-7/2*a^2*b^6/n/(x^n)^8-56/9*a^3*b^5/n/(x^n)^9-7*a^4*b^4/n/(x^n)^10-56/11*a^5*b^3/n/(x^n)^11-7/3*a^6*b^2/n/(x^n)^12-8/13*a^7*b/n/(x^n)^13-1/14*a^8/n/(x^n)^14","A"
2590,1,136,153,0.027000," ","int(x^(-1-15*n)*(b*x^n+a)^8,x)","-\frac{a^{8} x^{-15 n}}{15 n}-\frac{4 a^{7} b \,x^{-14 n}}{7 n}-\frac{28 a^{6} b^{2} x^{-13 n}}{13 n}-\frac{14 a^{5} b^{3} x^{-12 n}}{3 n}-\frac{70 a^{4} b^{4} x^{-11 n}}{11 n}-\frac{28 a^{3} b^{5} x^{-10 n}}{5 n}-\frac{28 a^{2} b^{6} x^{-9 n}}{9 n}-\frac{a \,b^{7} x^{-8 n}}{n}-\frac{b^{8} x^{-7 n}}{7 n}"," ",0,"-1/7*b^8/n/(x^n)^7-a*b^7/n/(x^n)^8-28/9*a^2*b^6/n/(x^n)^9-28/5*a^3*b^5/n/(x^n)^10-70/11*a^4*b^4/n/(x^n)^11-14/3*a^5*b^3/n/(x^n)^12-28/13*a^6*b^2/n/(x^n)^13-4/7*a^7*b/n/(x^n)^14-1/15*a^8/n/(x^n)^15","A"
2591,1,260,17,0.036000," ","int(x^(n-1)*(b*x^n+a)^16,x)","\frac{a^{16} x^{n}}{n}+\frac{8 a^{15} b \,x^{2 n}}{n}+\frac{40 a^{14} b^{2} x^{3 n}}{n}+\frac{140 a^{13} b^{3} x^{4 n}}{n}+\frac{364 a^{12} b^{4} x^{5 n}}{n}+\frac{728 a^{11} b^{5} x^{6 n}}{n}+\frac{1144 a^{10} b^{6} x^{7 n}}{n}+\frac{1430 a^{9} b^{7} x^{8 n}}{n}+\frac{1430 a^{8} b^{8} x^{9 n}}{n}+\frac{1144 a^{7} b^{9} x^{10 n}}{n}+\frac{728 a^{6} b^{10} x^{11 n}}{n}+\frac{364 a^{5} b^{11} x^{12 n}}{n}+\frac{140 a^{4} b^{12} x^{13 n}}{n}+\frac{40 a^{3} b^{13} x^{14 n}}{n}+\frac{8 a^{2} b^{14} x^{15 n}}{n}+\frac{a \,b^{15} x^{16 n}}{n}+\frac{b^{16} x^{17 n}}{17 n}"," ",0,"1/17*b^16/n*(x^n)^17+a*b^15/n*(x^n)^16+8*a^2*b^14/n*(x^n)^15+40*a^3*b^13/n*(x^n)^14+140*a^4*b^12/n*(x^n)^13+364*a^5*b^11/n*(x^n)^12+728*a^6*b^10/n*(x^n)^11+1144*a^7*b^9/n*(x^n)^10+1430*a^8*b^8/n*(x^n)^9+1430*a^9*b^7/n*(x^n)^8+1144*a^10*b^6/n*(x^n)^7+728*a^11*b^5/n*(x^n)^6+364*a^12*b^4/n*(x^n)^5+140*a^13*b^3/n*(x^n)^4+40*a^14*b^2/n*(x^n)^3+8*a^15*b/n*(x^n)^2+a^16/n*x^n","B"
2592,1,135,14,0.002000," ","int(x^12*(b*x^13+a)^12,x)","\frac{1}{169} b^{12} x^{169}+\frac{1}{13} a \,b^{11} x^{156}+\frac{6}{13} a^{2} b^{10} x^{143}+\frac{22}{13} a^{3} b^{9} x^{130}+\frac{55}{13} a^{4} b^{8} x^{117}+\frac{99}{13} a^{5} b^{7} x^{104}+\frac{132}{13} a^{6} b^{6} x^{91}+\frac{132}{13} a^{7} b^{5} x^{78}+\frac{99}{13} a^{8} b^{4} x^{65}+\frac{55}{13} a^{9} b^{3} x^{52}+\frac{22}{13} a^{10} b^{2} x^{39}+\frac{6}{13} a^{11} b \,x^{26}+\frac{1}{13} a^{12} x^{13}"," ",0,"1/169*b^12*x^169+1/13*a*b^11*x^156+6/13*a^2*b^10*x^143+22/13*a^3*b^9*x^130+55/13*a^4*b^8*x^117+99/13*a^5*b^7*x^104+132/13*a^6*b^6*x^91+132/13*a^7*b^5*x^78+99/13*a^8*b^4*x^65+55/13*a^9*b^3*x^52+22/13*a^10*b^2*x^39+6/13*a^11*b*x^26+1/13*a^12*x^13","B"
2593,1,135,14,0.003000," ","int(x^24*(b*x^25+a)^12,x)","\frac{1}{325} b^{12} x^{325}+\frac{1}{25} a \,b^{11} x^{300}+\frac{6}{25} a^{2} b^{10} x^{275}+\frac{22}{25} a^{3} b^{9} x^{250}+\frac{11}{5} a^{4} b^{8} x^{225}+\frac{99}{25} a^{5} b^{7} x^{200}+\frac{132}{25} a^{6} b^{6} x^{175}+\frac{132}{25} a^{7} b^{5} x^{150}+\frac{99}{25} a^{8} b^{4} x^{125}+\frac{11}{5} a^{9} b^{3} x^{100}+\frac{22}{25} a^{10} b^{2} x^{75}+\frac{6}{25} a^{11} b \,x^{50}+\frac{1}{25} a^{12} x^{25}"," ",0,"1/325*b^12*x^325+1/25*a*b^11*x^300+6/25*a^2*b^10*x^275+22/25*a^3*b^9*x^250+11/5*a^4*b^8*x^225+99/25*a^5*b^7*x^200+132/25*a^6*b^6*x^175+132/25*a^7*b^5*x^150+99/25*a^8*b^4*x^125+11/5*a^9*b^3*x^100+22/25*a^10*b^2*x^75+6/25*a^11*b*x^50+1/25*a^12*x^25","B"
2594,1,135,14,0.001000," ","int(x^36*(b*x^37+a)^12,x)","\frac{1}{481} b^{12} x^{481}+\frac{1}{37} a \,b^{11} x^{444}+\frac{6}{37} a^{2} b^{10} x^{407}+\frac{22}{37} a^{3} b^{9} x^{370}+\frac{55}{37} a^{4} b^{8} x^{333}+\frac{99}{37} a^{5} b^{7} x^{296}+\frac{132}{37} a^{6} b^{6} x^{259}+\frac{132}{37} a^{7} b^{5} x^{222}+\frac{99}{37} a^{8} b^{4} x^{185}+\frac{55}{37} a^{9} b^{3} x^{148}+\frac{22}{37} a^{10} b^{2} x^{111}+\frac{6}{37} a^{11} b \,x^{74}+\frac{1}{37} a^{12} x^{37}"," ",0,"1/481*b^12*x^481+1/37*a*b^11*x^444+6/37*a^2*b^10*x^407+22/37*a^3*b^9*x^370+55/37*a^4*b^8*x^333+99/37*a^5*b^7*x^296+132/37*a^6*b^6*x^259+132/37*a^7*b^5*x^222+99/37*a^8*b^4*x^185+55/37*a^9*b^3*x^148+22/37*a^10*b^2*x^111+6/37*a^11*b*x^74+1/37*a^12*x^37","B"
2595,1,311,25,0.030000," ","int(x^(12*m)*(a+b*x^(1+12*m))^12,x)","\frac{b^{12} x^{13} x^{156 m}}{13+156 m}+\frac{a \,b^{11} x^{12} x^{144 m}}{12 m +1}+\frac{6 a^{2} b^{10} x^{11} x^{132 m}}{12 m +1}+\frac{22 a^{3} b^{9} x^{10} x^{120 m}}{12 m +1}+\frac{55 a^{4} b^{8} x^{9} x^{108 m}}{12 m +1}+\frac{99 a^{5} b^{7} x^{8} x^{96 m}}{12 m +1}+\frac{132 a^{6} b^{6} x^{7} x^{84 m}}{12 m +1}+\frac{132 a^{7} b^{5} x^{6} x^{72 m}}{12 m +1}+\frac{99 a^{8} b^{4} x^{5} x^{60 m}}{12 m +1}+\frac{55 a^{9} b^{3} x^{4} x^{48 m}}{12 m +1}+\frac{22 a^{10} b^{2} x^{3} x^{36 m}}{12 m +1}+\frac{6 a^{11} b \,x^{2} x^{24 m}}{12 m +1}+\frac{a^{12} x \,x^{12 m}}{12 m +1}"," ",0,"1/13*b^12*x^13/(1+12*m)*(x^(12*m))^13+a*b^11*x^12/(1+12*m)*(x^(12*m))^12+6*a^2*b^10*x^11/(1+12*m)*(x^(12*m))^11+22*a^3*b^9*x^10/(1+12*m)*(x^(12*m))^10+55*a^4*b^8*x^9/(1+12*m)*(x^(12*m))^9+99*a^5*b^7*x^8/(1+12*m)*(x^(12*m))^8+132*a^6*b^6*x^7/(1+12*m)*(x^(12*m))^7+132*a^7*b^5*x^6/(1+12*m)*(x^(12*m))^6+99*a^8*b^4*x^5/(1+12*m)*(x^(12*m))^5+55*a^9*b^3*x^4/(1+12*m)*(x^(12*m))^4+22*a^10*b^2*x^3/(1+12*m)*(x^(12*m))^3+6*a^11*b*x^2/(1+12*m)*(x^(12*m))^2+a^12/(1+12*m)*x*x^(12*m)","B"
2596,1,311,25,0.000000," ","int(x^(12*m)*(a+b*x^(12*m+1))^12,x)","\frac{b^{12} x^{13} x^{156 m}}{13+156 m}+\frac{a \,b^{11} x^{12} x^{144 m}}{12 m +1}+\frac{6 a^{2} b^{10} x^{11} x^{132 m}}{12 m +1}+\frac{22 a^{3} b^{9} x^{10} x^{120 m}}{12 m +1}+\frac{55 a^{4} b^{8} x^{9} x^{108 m}}{12 m +1}+\frac{99 a^{5} b^{7} x^{8} x^{96 m}}{12 m +1}+\frac{132 a^{6} b^{6} x^{7} x^{84 m}}{12 m +1}+\frac{132 a^{7} b^{5} x^{6} x^{72 m}}{12 m +1}+\frac{99 a^{8} b^{4} x^{5} x^{60 m}}{12 m +1}+\frac{55 a^{9} b^{3} x^{4} x^{48 m}}{12 m +1}+\frac{22 a^{10} b^{2} x^{3} x^{36 m}}{12 m +1}+\frac{6 a^{11} b \,x^{2} x^{24 m}}{12 m +1}+\frac{a^{12} x \,x^{12 m}}{12 m +1}"," ",0,"1/13*b^12*x^13/(12*m+1)*(x^(12*m))^13+a*b^11*x^12/(12*m+1)*(x^(12*m))^12+6*a^2*b^10*x^11/(12*m+1)*(x^(12*m))^11+22*a^3*b^9*x^10/(12*m+1)*(x^(12*m))^10+55*a^4*b^8*x^9/(12*m+1)*(x^(12*m))^9+99*a^5*b^7*x^8/(12*m+1)*(x^(12*m))^8+132*a^6*b^6*x^7/(12*m+1)*(x^(12*m))^7+132*a^7*b^5*x^6/(12*m+1)*(x^(12*m))^6+99*a^8*b^4*x^5/(12*m+1)*(x^(12*m))^5+55*a^9*b^3*x^4/(12*m+1)*(x^(12*m))^4+22*a^10*b^2*x^3/(12*m+1)*(x^(12*m))^3+6*a^11*b*x^2/(12*m+1)*(x^(12*m))^2+1/(12*m+1)*a^12*x*x^(12*m)","B"
2597,1,87,76,0.035000," ","int(x^(-1+5*n)/(b*x^n+a),x)","\frac{a^{4} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b^{5} n}-\frac{a^{3} {\mathrm e}^{n \ln \left(x \right)}}{b^{4} n}+\frac{a^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{2 b^{3} n}-\frac{a \,{\mathrm e}^{3 n \ln \left(x \right)}}{3 b^{2} n}+\frac{{\mathrm e}^{4 n \ln \left(x \right)}}{4 b n}"," ",0,"1/4/b/n*exp(n*ln(x))^4-1/3*a/b^2/n*exp(n*ln(x))^3+1/2*a^2/b^3/n*exp(n*ln(x))^2-a^3/b^4/n*exp(n*ln(x))+a^4/b^5/n*ln(a+b*exp(n*ln(x)))","A"
2598,1,69,60,0.029000," ","int(x^(-1+4*n)/(b*x^n+a),x)","-\frac{a^{3} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b^{4} n}+\frac{a^{2} {\mathrm e}^{n \ln \left(x \right)}}{b^{3} n}-\frac{a \,{\mathrm e}^{2 n \ln \left(x \right)}}{2 b^{2} n}+\frac{{\mathrm e}^{3 n \ln \left(x \right)}}{3 b n}"," ",0,"a^2/b^3/n*exp(n*ln(x))+1/3/b/n*exp(n*ln(x))^3-1/2*a/b^2/n*exp(n*ln(x))^2-a^3/b^4/n*ln(b*exp(n*ln(x))+a)","A"
2599,1,51,44,0.024000," ","int(x^(3*n-1)/(b*x^n+a),x)","\frac{a^{2} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b^{3} n}-\frac{a \,{\mathrm e}^{n \ln \left(x \right)}}{b^{2} n}+\frac{{\mathrm e}^{2 n \ln \left(x \right)}}{2 b n}"," ",0,"1/2/b/n*exp(n*ln(x))^2-a/b^2/n*exp(n*ln(x))+a^2/b^3/n*ln(b*exp(n*ln(x))+a)","A"
2600,1,33,28,0.020000," ","int(x^(2*n-1)/(b*x^n+a),x)","-\frac{a \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b^{2} n}+\frac{{\mathrm e}^{n \ln \left(x \right)}}{b n}"," ",0,"1/b/n*exp(n*ln(x))-a/b^2/n*ln(b*exp(n*ln(x))+a)","A"
2601,1,18,15,0.015000," ","int(x^(n-1)/(b*x^n+a),x)","\frac{\ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b n}"," ",0,"1/b/n*ln(b*exp(n*ln(x))+a)","A"
2602,1,29,23,0.000000," ","int(1/x/(b*x^n+a),x)","\frac{\ln \left(x^{n}\right)}{a n}-\frac{\ln \left(b \,x^{n}+a \right)}{a n}"," ",0,"1/a/n*ln(x^n)-1/a/n*ln(b*x^n+a)","A"
2603,1,50,38,0.020000," ","int(x^(-1-n)/(b*x^n+a),x)","\left(-\frac{b \,{\mathrm e}^{n \ln \left(x \right)} \ln \left(x \right)}{a^{2}}-\frac{1}{a n}\right) {\mathrm e}^{-n \ln \left(x \right)}+\frac{b \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{a^{2} n}"," ",0,"(-1/a/n-b/a^2*ln(x)*exp(n*ln(x)))/exp(n*ln(x))+b/a^2/n*ln(b*exp(n*ln(x))+a)","A"
2604,1,69,57,0.023000," ","int(x^(-1-2*n)/(b*x^n+a),x)","\left(\frac{b^{2} {\mathrm e}^{2 n \ln \left(x \right)} \ln \left(x \right)}{a^{3}}+\frac{b \,{\mathrm e}^{n \ln \left(x \right)}}{a^{2} n}-\frac{1}{2 a n}\right) {\mathrm e}^{-2 n \ln \left(x \right)}-\frac{b^{2} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{a^{3} n}"," ",0,"(b/a^2/n*exp(n*ln(x))-1/2/a/n+b^2/a^3*ln(x)*exp(n*ln(x))^2)/exp(n*ln(x))^2-b^2/a^3/n*ln(b*exp(n*ln(x))+a)","A"
2605,1,88,76,0.029000," ","int(x^(-1-3*n)/(b*x^n+a),x)","\left(-\frac{b^{3} {\mathrm e}^{3 n \ln \left(x \right)} \ln \left(x \right)}{a^{4}}+\frac{b \,{\mathrm e}^{n \ln \left(x \right)}}{2 a^{2} n}-\frac{b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{a^{3} n}-\frac{1}{3 a n}\right) {\mathrm e}^{-3 n \ln \left(x \right)}+\frac{b^{3} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{a^{4} n}"," ",0,"(-1/3/a/n+1/2/a^2*b/n*exp(n*ln(x))-b^2/a^3/n*exp(n*ln(x))^2-b^3/a^4*ln(x)*exp(n*ln(x))^3)/exp(n*ln(x))^3+b^3/a^4/n*ln(b*exp(n*ln(x))+a)","A"
2606,1,87,76,0.000000," ","int(x^(-1+5*n)/(b*x^n+a),x)","\frac{a^{4} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b^{5} n}-\frac{a^{3} {\mathrm e}^{n \ln \left(x \right)}}{b^{4} n}+\frac{a^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{2 b^{3} n}-\frac{a \,{\mathrm e}^{3 n \ln \left(x \right)}}{3 b^{2} n}+\frac{{\mathrm e}^{4 n \ln \left(x \right)}}{4 b n}"," ",0,"1/4/b/n*exp(n*ln(x))^4-1/3*a/b^2/n*exp(n*ln(x))^3+1/2*a^2/b^3/n*exp(n*ln(x))^2-a^3/b^4/n*exp(n*ln(x))+a^4/b^5/n*ln(b*exp(n*ln(x))+a)","A"
2607,1,69,60,0.000000," ","int(x^(-1+4*n)/(b*x^n+a),x)","-\frac{a^{3} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b^{4} n}+\frac{a^{2} {\mathrm e}^{n \ln \left(x \right)}}{b^{3} n}-\frac{a \,{\mathrm e}^{2 n \ln \left(x \right)}}{2 b^{2} n}+\frac{{\mathrm e}^{3 n \ln \left(x \right)}}{3 b n}"," ",0,"a^2/b^3/n*exp(n*ln(x))+1/3/b/n*exp(n*ln(x))^3-1/2*a/b^2/n*exp(n*ln(x))^2-a^3/b^4/n*ln(b*exp(n*ln(x))+a)","A"
2608,1,51,44,0.000000," ","int(x^(3*n-1)/(b*x^n+a),x)","\frac{a^{2} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b^{3} n}-\frac{a \,{\mathrm e}^{n \ln \left(x \right)}}{b^{2} n}+\frac{{\mathrm e}^{2 n \ln \left(x \right)}}{2 b n}"," ",0,"1/2/b/n*exp(n*ln(x))^2-a/b^2/n*exp(n*ln(x))+a^2/b^3/n*ln(b*exp(n*ln(x))+a)","A"
2609,1,33,28,0.000000," ","int(x^(2*n-1)/(b*x^n+a),x)","-\frac{a \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b^{2} n}+\frac{{\mathrm e}^{n \ln \left(x \right)}}{b n}"," ",0,"-a/b^2/n*ln(b*exp(n*ln(x))+a)+1/b/n*exp(n*ln(x))","A"
2610,1,18,15,0.000000," ","int(x^(n-1)/(b*x^n+a),x)","\frac{\ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b n}"," ",0,"1/b/n*ln(b*exp(n*ln(x))+a)","A"
2611,1,29,23,0.000000," ","int(1/x/(b*x^n+a),x)","\frac{\ln \left(x^{n}\right)}{a n}-\frac{\ln \left(b \,x^{n}+a \right)}{a n}"," ",0,"1/a/n*ln(x^n)-1/a/n*ln(b*x^n+a)","A"
2612,1,50,38,0.000000," ","int(x^(-1-n)/(b*x^n+a),x)","\left(-\frac{b \,{\mathrm e}^{n \ln \left(x \right)} \ln \left(x \right)}{a^{2}}-\frac{1}{a n}\right) {\mathrm e}^{-n \ln \left(x \right)}+\frac{b \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{a^{2} n}"," ",0,"(-1/a^2*b*exp(n*ln(x))*ln(x)-1/a/n)/exp(n*ln(x))+1/a^2*b/n*ln(b*exp(n*ln(x))+a)","A"
2613,1,69,57,0.000000," ","int(x^(-1-2*n)/(b*x^n+a),x)","\left(\frac{b^{2} {\mathrm e}^{2 n \ln \left(x \right)} \ln \left(x \right)}{a^{3}}+\frac{b \,{\mathrm e}^{n \ln \left(x \right)}}{a^{2} n}-\frac{1}{2 a n}\right) {\mathrm e}^{-2 n \ln \left(x \right)}-\frac{b^{2} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{a^{3} n}"," ",0,"(1/a^2*b/n*exp(n*ln(x))-1/2/a/n+b^2/a^3*ln(x)*exp(n*ln(x))^2)/exp(n*ln(x))^2-1/a^3*b^2/n*ln(b*exp(n*ln(x))+a)","A"
2614,1,88,76,0.000000," ","int(x^(-1-3*n)/(b*x^n+a),x)","\left(-\frac{b^{3} {\mathrm e}^{3 n \ln \left(x \right)} \ln \left(x \right)}{a^{4}}+\frac{b \,{\mathrm e}^{n \ln \left(x \right)}}{2 a^{2} n}-\frac{b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{a^{3} n}-\frac{1}{3 a n}\right) {\mathrm e}^{-3 n \ln \left(x \right)}+\frac{b^{3} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{a^{4} n}"," ",0,"(-1/3/a/n+1/2/a^2*b/n*exp(n*ln(x))-b^2/a^3/n*exp(n*ln(x))^2-b^3/a^4*ln(x)*exp(n*ln(x))^3)/exp(n*ln(x))^3+1/a^4*b^3/n*ln(b*exp(n*ln(x))+a)","A"
2615,1,78,67,0.032000," ","int(x^(-1+5*n)/(2+b*x^n),x)","\frac{{\mathrm e}^{4 n \ln \left(x \right)}}{4 b n}-\frac{2 \,{\mathrm e}^{3 n \ln \left(x \right)}}{3 b^{2} n}+\frac{2 \,{\mathrm e}^{2 n \ln \left(x \right)}}{b^{3} n}-\frac{8 \,{\mathrm e}^{n \ln \left(x \right)}}{b^{4} n}+\frac{16 \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+2\right)}{b^{5} n}"," ",0,"-8/b^4/n*exp(n*ln(x))+2/b^3/n*exp(n*ln(x))^2-2/3/b^2/n*exp(n*ln(x))^3+1/4/b/n*exp(n*ln(x))^4+16/b^5/n*ln(2+b*exp(n*ln(x)))","A"
2616,1,63,54,0.027000," ","int(x^(-1+4*n)/(2+b*x^n),x)","\frac{{\mathrm e}^{3 n \ln \left(x \right)}}{3 b n}-\frac{{\mathrm e}^{2 n \ln \left(x \right)}}{b^{2} n}+\frac{4 \,{\mathrm e}^{n \ln \left(x \right)}}{b^{3} n}-\frac{8 \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+2\right)}{b^{4} n}"," ",0,"4/b^3/n*exp(n*ln(x))-1/b^2/n*exp(n*ln(x))^2+1/3/b/n*exp(n*ln(x))^3-8/b^4/n*ln(b*exp(n*ln(x))+2)","A"
2617,1,48,41,0.023000," ","int(x^(3*n-1)/(2+b*x^n),x)","\frac{{\mathrm e}^{2 n \ln \left(x \right)}}{2 b n}-\frac{2 \,{\mathrm e}^{n \ln \left(x \right)}}{b^{2} n}+\frac{4 \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+2\right)}{b^{3} n}"," ",0,"-2/b^2/n*exp(n*ln(x))+1/2/b/n*exp(n*ln(x))^2+4/b^3/n*ln(b*exp(n*ln(x))+2)","A"
2618,1,32,27,0.020000," ","int(x^(2*n-1)/(2+b*x^n),x)","\frac{{\mathrm e}^{n \ln \left(x \right)}}{b n}-\frac{2 \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+2\right)}{b^{2} n}"," ",0,"1/b/n*exp(n*ln(x))-2/b^2/n*ln(b*exp(n*ln(x))+2)","A"
2619,1,18,15,0.016000," ","int(x^(n-1)/(2+b*x^n),x)","\frac{\ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+2\right)}{b n}"," ",0,"1/b/n*ln(b*exp(n*ln(x))+2)","A"
2620,1,24,18,0.002000," ","int(1/x/(2+b*x^n),x)","\frac{\ln \left(x^{n}\right)}{2 n}-\frac{\ln \left(b \,x^{n}+2\right)}{2 n}"," ",0,"-1/2*ln(2+b*x^n)/n+1/2/n*ln(x^n)","A"
2621,1,42,30,0.018000," ","int(x^(-1-n)/(b*x^n+2),x)","\frac{b \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+2\right)}{4 n}+\left(-\frac{b \,{\mathrm e}^{n \ln \left(x \right)} \ln \left(x \right)}{4}-\frac{1}{2 n}\right) {\mathrm e}^{-n \ln \left(x \right)}"," ",0,"(-1/4*b*ln(x)*exp(n*ln(x))-1/2/n)/exp(n*ln(x))+1/4*b/n*ln(b*exp(n*ln(x))+2)","A"
2622,1,59,47,0.023000," ","int(x^(-1-2*n)/(b*x^n+2),x)","-\frac{b^{2} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+2\right)}{8 n}+\left(\frac{b^{2} {\mathrm e}^{2 n \ln \left(x \right)} \ln \left(x \right)}{8}+\frac{b \,{\mathrm e}^{n \ln \left(x \right)}}{4 n}-\frac{1}{4 n}\right) {\mathrm e}^{-2 n \ln \left(x \right)}"," ",0,"(1/8*b^2*ln(x)*exp(n*ln(x))^2-1/4/n+1/4*b/n*exp(n*ln(x)))/exp(n*ln(x))^2-1/8*b^2/n*ln(b*exp(n*ln(x))+2)","A"
2623,1,74,62,0.029000," ","int(x^(-1-3*n)/(b*x^n+2),x)","\frac{b^{3} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+2\right)}{16 n}+\left(-\frac{b^{3} {\mathrm e}^{3 n \ln \left(x \right)} \ln \left(x \right)}{16}-\frac{b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{8 n}+\frac{b \,{\mathrm e}^{n \ln \left(x \right)}}{8 n}-\frac{1}{6 n}\right) {\mathrm e}^{-3 n \ln \left(x \right)}"," ",0,"(-1/16*b^3*ln(x)*exp(n*ln(x))^3-1/6/n+1/8*b/n*exp(n*ln(x))-1/8*b^2/n*exp(n*ln(x))^2)/exp(n*ln(x))^3+1/16*b^3/n*ln(b*exp(n*ln(x))+2)","A"
2624,1,78,64,0.029000," ","int(x^(-1+4*n)/(b*x^n+a)^2,x)","\frac{3 a^{2} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b^{4} n}+\frac{-\frac{3 a \,{\mathrm e}^{2 n \ln \left(x \right)}}{2 b^{2} n}+\frac{{\mathrm e}^{3 n \ln \left(x \right)}}{2 b n}+\frac{3 a^{3}}{b^{4} n}}{b \,{\mathrm e}^{n \ln \left(x \right)}+a}"," ",0,"(3*a^3/b^4/n+1/2/b/n*exp(n*ln(x))^3-3/2*a/b^2/n*exp(n*ln(x))^2)/(b*exp(n*ln(x))+a)+3*a^2/b^4/n*ln(b*exp(n*ln(x))+a)","A"
2625,1,59,48,0.026000," ","int(x^(3*n-1)/(b*x^n+a)^2,x)","-\frac{2 a \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b^{3} n}+\frac{\frac{{\mathrm e}^{2 n \ln \left(x \right)}}{b n}-\frac{2 a^{2}}{b^{3} n}}{b \,{\mathrm e}^{n \ln \left(x \right)}+a}"," ",0,"(1/b/n*exp(n*ln(x))^2-2*a^2/b^3/n)/(b*exp(n*ln(x))+a)-2*a/b^3/n*ln(b*exp(n*ln(x))+a)","A"
2626,1,38,33,0.020000," ","int(x^(2*n-1)/(b*x^n+a)^2,x)","\frac{a}{\left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right) b^{2} n}+\frac{\ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b^{2} n}"," ",0,"a/b^2/n/(b*exp(n*ln(x))+a)+1/b^2/n*ln(b*exp(n*ln(x))+a)","A"
2627,1,24,17,0.020000," ","int(x^(n-1)/(b*x^n+a)^2,x)","\frac{{\mathrm e}^{n \ln \left(x \right)}}{\left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right) a n}"," ",0,"1/a/n*exp(n*ln(x))/(b*exp(n*ln(x))+a)","A"
2628,1,45,39,0.000000," ","int(1/x/(b*x^n+a)^2,x)","\frac{1}{\left(b \,x^{n}+a \right) a n}+\frac{\ln \left(x^{n}\right)}{a^{2} n}-\frac{\ln \left(b \,x^{n}+a \right)}{a^{2} n}"," ",0,"1/(b*x^n+a)/a/n+1/a^2/n*ln(x^n)-1/a^2/n*ln(b*x^n+a)","A"
2629,1,97,57,0.026000," ","int(x^(-1-n)/(b*x^n+a)^2,x)","\frac{\left(-\frac{2 b \,{\mathrm e}^{n \ln \left(x \right)} \ln \left(x \right)}{a^{2}}-\frac{2 b^{2} {\mathrm e}^{2 n \ln \left(x \right)} \ln \left(x \right)}{a^{3}}+\frac{2 b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{a^{3} n}-\frac{1}{a n}\right) {\mathrm e}^{-n \ln \left(x \right)}}{b \,{\mathrm e}^{n \ln \left(x \right)}+a}+\frac{2 b \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{a^{3} n}"," ",0,"(2*b^2/a^3/n*exp(n*ln(x))^2-1/a/n-2/a^2*b*exp(n*ln(x))*ln(x)-2*b^2/a^3*ln(x)*exp(n*ln(x))^2)/exp(n*ln(x))/(b*exp(n*ln(x))+a)+2*b/a^3/n*ln(b*exp(n*ln(x))+a)","A"
2630,1,117,78,0.029000," ","int(x^(-1-2*n)/(b*x^n+a)^2,x)","\frac{\left(\frac{3 b^{2} {\mathrm e}^{2 n \ln \left(x \right)} \ln \left(x \right)}{a^{3}}+\frac{3 b^{3} {\mathrm e}^{3 n \ln \left(x \right)} \ln \left(x \right)}{a^{4}}+\frac{3 b \,{\mathrm e}^{n \ln \left(x \right)}}{2 a^{2} n}-\frac{3 b^{3} {\mathrm e}^{3 n \ln \left(x \right)}}{a^{4} n}-\frac{1}{2 a n}\right) {\mathrm e}^{-2 n \ln \left(x \right)}}{b \,{\mathrm e}^{n \ln \left(x \right)}+a}-\frac{3 b^{2} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{a^{4} n}"," ",0,"(-3*b^3/a^4/n*exp(n*ln(x))^3-1/2/a/n+3/2/a^2*b/n*exp(n*ln(x))+3*b^2/a^3*ln(x)*exp(n*ln(x))^2+3*b^3/a^4*ln(x)*exp(n*ln(x))^3)/exp(n*ln(x))^2/(b*exp(n*ln(x))+a)-3*b^2/a^4/n*ln(b*exp(n*ln(x))+a)","A"
2631,1,135,96,0.034000," ","int(x^(-1-3*n)/(b*x^n+a)^2,x)","\frac{\left(-\frac{4 b^{3} {\mathrm e}^{3 n \ln \left(x \right)} \ln \left(x \right)}{a^{4}}-\frac{4 b^{4} {\mathrm e}^{4 n \ln \left(x \right)} \ln \left(x \right)}{a^{5}}+\frac{2 b \,{\mathrm e}^{n \ln \left(x \right)}}{3 a^{2} n}-\frac{2 b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{a^{3} n}+\frac{4 b^{4} {\mathrm e}^{4 n \ln \left(x \right)}}{a^{5} n}-\frac{1}{3 a n}\right) {\mathrm e}^{-3 n \ln \left(x \right)}}{b \,{\mathrm e}^{n \ln \left(x \right)}+a}+\frac{4 b^{3} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{a^{5} n}"," ",0,"(4*b^4/a^5/n*exp(n*ln(x))^4-1/3/a/n+2/3/a^2*b/n*exp(n*ln(x))-2*b^2/a^3/n*exp(n*ln(x))^2-4*b^3/a^4*ln(x)*exp(n*ln(x))^3-4*b^4/a^5*ln(x)*exp(n*ln(x))^4)/exp(n*ln(x))^3/(b*exp(n*ln(x))+a)+4*b^3/a^5/n*ln(b*exp(n*ln(x))+a)","A"
2632,1,75,68,0.039000," ","int(x^(-1+4*n)/(b*x^n+a)^3,x)","-\frac{3 a \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b^{4} n}+\frac{-\frac{6 a^{2} {\mathrm e}^{n \ln \left(x \right)}}{b^{3} n}+\frac{{\mathrm e}^{3 n \ln \left(x \right)}}{b n}-\frac{9 a^{3}}{2 b^{4} n}}{\left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)^{2}}"," ",0,"(1/b/n*exp(n*ln(x))^3-9/2*a^3/b^4/n-6*a^2/b^3/n*exp(n*ln(x)))/(b*exp(n*ln(x))+a)^2-3*a/b^4/n*ln(b*exp(n*ln(x))+a)","A"
2633,1,57,54,0.032000," ","int(x^(3*n-1)/(b*x^n+a)^3,x)","\frac{\ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{b^{3} n}+\frac{\frac{2 a \,{\mathrm e}^{n \ln \left(x \right)}}{b^{2} n}+\frac{3 a^{2}}{2 b^{3} n}}{\left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)^{2}}"," ",0,"(3/2*a^2/b^3/n+2*a/b^2/n*exp(n*ln(x)))/(b*exp(n*ln(x))+a)^2+1/b^3/n*ln(b*exp(n*ln(x))+a)","A"
2634,1,36,22,0.032000," ","int(x^(2*n-1)/(b*x^n+a)^3,x)","\frac{-\frac{{\mathrm e}^{n \ln \left(x \right)}}{b n}-\frac{a}{2 b^{2} n}}{\left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)^{2}}"," ",0,"(-1/b/n*exp(n*ln(x))-1/2*a/b^2/n)/(b*exp(n*ln(x))+a)^2","A"
2635,1,20,17,0.031000," ","int(x^(n-1)/(b*x^n+a)^3,x)","-\frac{1}{2 \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)^{2} b n}"," ",0,"-1/2/b/n/(b*exp(n*ln(x))+a)^2","A"
2636,1,62,56,0.000000," ","int(1/x/(b*x^n+a)^3,x)","\frac{1}{2 \left(b \,x^{n}+a \right)^{2} a n}+\frac{1}{\left(b \,x^{n}+a \right) a^{2} n}+\frac{\ln \left(x^{n}\right)}{a^{3} n}-\frac{\ln \left(b \,x^{n}+a \right)}{a^{3} n}"," ",0,"1/2/(b*x^n+a)^2/a/n+1/(b*x^n+a)/a^2/n+1/a^3/n*ln(x^n)-1/a^3/n*ln(b*x^n+a)","A"
2637,1,132,75,0.039000," ","int(x^(-1-n)/(b*x^n+a)^3,x)","\frac{\left(-\frac{3 b \,{\mathrm e}^{n \ln \left(x \right)} \ln \left(x \right)}{a^{2}}-\frac{6 b^{2} {\mathrm e}^{2 n \ln \left(x \right)} \ln \left(x \right)}{a^{3}}-\frac{3 b^{3} {\mathrm e}^{3 n \ln \left(x \right)} \ln \left(x \right)}{a^{4}}+\frac{6 b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{a^{3} n}+\frac{9 b^{3} {\mathrm e}^{3 n \ln \left(x \right)}}{2 a^{4} n}-\frac{1}{a n}\right) {\mathrm e}^{-n \ln \left(x \right)}}{\left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)^{2}}+\frac{3 b \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{a^{4} n}"," ",0,"(-1/a/n-3/a^2*b*exp(n*ln(x))*ln(x)-6*b^2/a^3*ln(x)*exp(n*ln(x))^2+6*b^2/a^3/n*exp(n*ln(x))^2-3*b^3/a^4*ln(x)*exp(n*ln(x))^3+9/2*b^3/a^4/n*exp(n*ln(x))^3)/exp(n*ln(x))/(b*exp(n*ln(x))+a)^2+3*b/a^4/n*ln(b*exp(n*ln(x))+a)","A"
2638,1,152,99,0.049000," ","int(x^(-1-2*n)/(b*x^n+a)^3,x)","\frac{\left(\frac{6 b^{2} {\mathrm e}^{2 n \ln \left(x \right)} \ln \left(x \right)}{a^{3}}+\frac{12 b^{3} {\mathrm e}^{3 n \ln \left(x \right)} \ln \left(x \right)}{a^{4}}+\frac{6 b^{4} {\mathrm e}^{4 n \ln \left(x \right)} \ln \left(x \right)}{a^{5}}+\frac{2 b \,{\mathrm e}^{n \ln \left(x \right)}}{a^{2} n}+\frac{9 b^{2} {\mathrm e}^{2 n \ln \left(x \right)}}{a^{3} n}+\frac{6 b^{3} {\mathrm e}^{3 n \ln \left(x \right)}}{a^{4} n}-\frac{1}{2 a n}\right) {\mathrm e}^{-2 n \ln \left(x \right)}}{\left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)^{2}}-\frac{6 b^{2} \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{a^{5} n}"," ",0,"(9*b^2/a^3/n*exp(n*ln(x))^2-1/2/a/n+6*b^2/a^3*ln(x)*exp(n*ln(x))^2+2/a^2*b/n*exp(n*ln(x))+12*b^3/a^4*ln(x)*exp(n*ln(x))^3+6*b^4/a^5*ln(x)*exp(n*ln(x))^4+6*b^3/a^4/n*exp(n*ln(x))^3)/exp(n*ln(x))^2/(b*exp(n*ln(x))+a)^2-6*b^2/a^5/n*ln(b*exp(n*ln(x))+a)","A"
2639,1,79,42,0.093000," ","int(x^(-1-1/2*n)/(b*x^n+a),x)","-\frac{2 x^{-\frac{n}{2}}}{a n}+\frac{\sqrt{-a b}\, \ln \left(x^{\frac{n}{2}}-\frac{\sqrt{-a b}}{b}\right)}{a^{2} n}-\frac{\sqrt{-a b}\, \ln \left(x^{\frac{n}{2}}+\frac{\sqrt{-a b}}{b}\right)}{a^{2} n}"," ",0,"-2/a/n/(x^(1/2*n))+(-a*b)^(1/2)/a^2/n*ln(x^(1/2*n)-(-a*b)^(1/2)/b)-(-a*b)^(1/2)/a^2/n*ln(x^(1/2*n)+(-a*b)^(1/2)/b)","A"
2640,1,54,115,0.165000," ","int(x^(-1-2/3*n)/(b*x^n+a),x)","\RootOf \left(a^{5} n^{3} \textit{\_Z}^{3}+b^{2}\right) \ln \left(-\frac{\RootOf \left(a^{5} n^{3} \textit{\_Z}^{3}+b^{2}\right) a^{2} n}{b}+x^{\frac{n}{3}}\right)-\frac{3 x^{-\frac{2 n}{3}}}{2 a n}"," ",0,"-3/2/a/n/(x^(1/3*n))^2+sum(_R*ln(x^(1/3*n)-a^2*n/b*_R),_R=RootOf(_Z^3*a^5*n^3+b^2))","C"
2641,1,54,167,0.076000," ","int(x^(-1-3/4*n)/(b*x^n+a),x)","\RootOf \left(a^{7} n^{4} \textit{\_Z}^{4}+b^{3}\right) \ln \left(-\frac{\RootOf \left(a^{7} n^{4} \textit{\_Z}^{4}+b^{3}\right) a^{2} n}{b}+x^{\frac{n}{4}}\right)-\frac{4 x^{-\frac{3 n}{4}}}{3 a n}"," ",0,"-4/3/a/n/(x^(1/4*n))^3+sum(_R*ln(x^(1/4*n)-_R*a^2/b*n),_R=RootOf(_Z^4*a^7*n^4+b^3))","C"
2642,1,50,38,0.000000," ","int(x^(-1-n)/(b*x^n+a),x)","\left(-\frac{b \,{\mathrm e}^{n \ln \left(x \right)} \ln \left(x \right)}{a^{2}}-\frac{1}{a n}\right) {\mathrm e}^{-n \ln \left(x \right)}+\frac{b \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{a^{2} n}"," ",0,"(-1/a^2*b*exp(n*ln(x))*ln(x)-1/a/n)/exp(n*ln(x))+1/a^2*b/n*ln(b*exp(n*ln(x))+a)","A"
2643,1,79,42,0.000000," ","int(x^(-1-1/2*n)/(b*x^n+a),x)","-\frac{2 x^{-\frac{n}{2}}}{a n}+\frac{\sqrt{-a b}\, \ln \left(x^{\frac{n}{2}}-\frac{\sqrt{-a b}}{b}\right)}{a^{2} n}-\frac{\sqrt{-a b}\, \ln \left(x^{\frac{n}{2}}+\frac{\sqrt{-a b}}{b}\right)}{a^{2} n}"," ",0,"-2/a/n/(x^(1/2*n))+(-a*b)^(1/2)/a^2/n*ln(x^(1/2*n)-(-a*b)^(1/2)/b)-(-a*b)^(1/2)/a^2/n*ln(x^(1/2*n)+(-a*b)^(1/2)/b)","A"
2644,1,57,123,0.074000," ","int(x^(-1-1/3*n)/(b*x^n+a),x)","\RootOf \left(a^{4} n^{3} \textit{\_Z}^{3}-b \right) \ln \left(\frac{\RootOf \left(a^{4} n^{3} \textit{\_Z}^{3}-b \right)^{2} a^{3} n^{2}}{b}+x^{\frac{n}{3}}\right)-\frac{3 x^{-\frac{n}{3}}}{a n}"," ",0,"-3/a/n/(x^(1/3*n))+sum(_R*ln(x^(1/3*n)+a^3*n^2/b*_R^2),_R=RootOf(_Z^3*a^4*n^3-b))","C"
2645,1,56,179,0.077000," ","int(x^(-1-1/4*n)/(b*x^n+a),x)","\RootOf \left(a^{5} n^{4} \textit{\_Z}^{4}+b \right) \ln \left(-\frac{\RootOf \left(a^{5} n^{4} \textit{\_Z}^{4}+b \right)^{3} a^{4} n^{3}}{b}+x^{\frac{n}{4}}\right)-\frac{4 x^{-\frac{n}{4}}}{a n}"," ",0,"-4/a/n/(x^(1/4*n))+sum(_R*ln(x^(1/4*n)-a^4*n^3/b*_R^3),_R=RootOf(_Z^4*a^5*n^4+b))","C"
2646,1,97,58,0.092000," ","int(x^(-1-3/2*n)/(b*x^n+a),x)","-\frac{2 x^{-\frac{3 n}{2}}}{3 a n}+\frac{2 b \,x^{-\frac{n}{2}}}{a^{2} n}-\frac{\sqrt{-a b}\, b \ln \left(x^{\frac{n}{2}}-\frac{\sqrt{-a b}}{b}\right)}{a^{3} n}+\frac{\sqrt{-a b}\, b \ln \left(x^{\frac{n}{2}}+\frac{\sqrt{-a b}}{b}\right)}{a^{3} n}"," ",0,"2*b/a^2/n/(x^(1/2*n))-2/3/a/n/(x^(1/2*n))^3+(-a*b)^(1/2)/a^3*b/n*ln(x^(1/2*n)+(-a*b)^(1/2)/b)-(-a*b)^(1/2)/a^3*b/n*ln(x^(1/2*n)-(-a*b)^(1/2)/b)","A"
2647,1,73,137,0.083000," ","int(x^(-1-4/3*n)/(b*x^n+a),x)","\RootOf \left(a^{7} n^{3} \textit{\_Z}^{3}+b^{4}\right) \ln \left(\frac{\RootOf \left(a^{7} n^{3} \textit{\_Z}^{3}+b^{4}\right)^{2} a^{5} n^{2}}{b^{3}}+x^{\frac{n}{3}}\right)-\frac{3 x^{-\frac{4 n}{3}}}{4 a n}+\frac{3 b \,x^{-\frac{n}{3}}}{a^{2} n}"," ",0,"3*b/a^2/n/(x^(1/3*n))-3/4/a/n/(x^(1/3*n))^4+sum(_R*ln(x^(1/3*n)+a^5*n^2/b^3*_R^2),_R=RootOf(_Z^3*a^7*n^3+b^4))","C"
2648,1,73,195,0.091000," ","int(x^(-1-5/4*n)/(b*x^n+a),x)","\RootOf \left(a^{9} n^{4} \textit{\_Z}^{4}+b^{5}\right) \ln \left(\frac{\RootOf \left(a^{9} n^{4} \textit{\_Z}^{4}+b^{5}\right)^{3} a^{7} n^{3}}{b^{4}}+x^{\frac{n}{4}}\right)-\frac{4 x^{-\frac{5 n}{4}}}{5 a n}+\frac{4 b \,x^{-\frac{n}{4}}}{a^{2} n}"," ",0,"4*b/a^2/n/(x^(1/4*n))-4/5/a/n/(x^(1/4*n))^5+sum(_R*ln(x^(1/4*n)+a^7*n^3/b^4*_R^3),_R=RootOf(_Z^4*a^9*n^4+b^5))","C"
2649,1,67,76,0.025000," ","int(x^(-1+4*n)*(b*x^n+a)^(1/2),x)","-\frac{2 \left(-8 a^{3} b \,x^{n}+6 a^{2} b^{2} x^{2 n}-5 a \,b^{3} x^{3 n}-35 b^{4} x^{4 n}+16 a^{4}\right) \sqrt{b \,x^{n}+a}}{315 b^{4} n}"," ",0,"-2/315*(-35*b^4*(x^n)^4-5*a*(x^n)^3*b^3+6*a^2*(x^n)^2*b^2-8*a^3*x^n*b+16*a^4)*(b*x^n+a)^(1/2)/b^4/n","A"
2650,1,54,56,0.021000," ","int(x^(3*n-1)*(b*x^n+a)^(1/2),x)","\frac{2 \left(-4 a^{2} b \,x^{n}+3 a \,b^{2} x^{2 n}+15 b^{3} x^{3 n}+8 a^{3}\right) \sqrt{b \,x^{n}+a}}{105 b^{3} n}"," ",0,"2/105*(15*(x^n)^3*b^3+3*a*(x^n)^2*b^2-4*a^2*x^n*b+8*a^3)*(b*x^n+a)^(1/2)/b^3/n","A"
2651,1,41,36,0.021000," ","int(x^(2*n-1)*(b*x^n+a)^(1/2),x)","-\frac{2 \left(-a b \,x^{n}-3 b^{2} x^{2 n}+2 a^{2}\right) \sqrt{b \,x^{n}+a}}{15 b^{2} n}"," ",0,"-2/15*(-3*b^2*(x^n)^2-a*x^n*b+2*a^2)*(b*x^n+a)^(1/2)/b^2/n","A"
2652,1,18,17,0.022000," ","int(x^(n-1)*(b*x^n+a)^(1/2),x)","\frac{2 \left(b \,x^{n}+a \right)^{\frac{3}{2}}}{3 b n}"," ",0,"2/3*(b*x^n+a)^(3/2)/b/n","A"
2653,1,36,37,0.000000," ","int((b*x^n+a)^(1/2)/x,x)","\frac{-2 \sqrt{a}\, \arctanh \left(\frac{\sqrt{b \,x^{n}+a}}{\sqrt{a}}\right)+2 \sqrt{b \,x^{n}+a}}{n}"," ",0,"1/n*(2*(b*x^n+a)^(1/2)-2*a^(1/2)*arctanh((b*x^n+a)^(1/2)/a^(1/2)))","A"
2654,0,0,43,0.206000," ","int(x^(-1-n)*(b*x^n+a)^(1/2),x)","\int \sqrt{b \,x^{n}+a}\, x^{-n -1}\, dx"," ",0,"int(x^(-1-n)*(b*x^n+a)^(1/2),x)","F"
2655,0,0,70,0.205000," ","int(x^(-1-2*n)*(b*x^n+a)^(1/2),x)","\int \sqrt{b \,x^{n}+a}\, x^{-2 n -1}\, dx"," ",0,"int(x^(-1-2*n)*(b*x^n+a)^(1/2),x)","F"
2656,0,0,97,0.207000," ","int(x^(-1-3*n)*(b*x^n+a)^(1/2),x)","\int \sqrt{b \,x^{n}+a}\, x^{-3 n -1}\, dx"," ",0,"int(x^(-1-3*n)*(b*x^n+a)^(1/2),x)","F"
2657,0,0,124,0.214000," ","int(x^(-1-4*n)*(b*x^n+a)^(1/2),x)","\int \sqrt{b \,x^{n}+a}\, x^{-4 n -1}\, dx"," ",0,"int(x^(-1-4*n)*(b*x^n+a)^(1/2),x)","F"
2658,1,54,76,0.026000," ","int(x^(-1+4*n)/(b*x^n+a)^(1/2),x)","-\frac{2 \left(-8 a^{2} b \,x^{n}+6 a \,b^{2} x^{2 n}-5 b^{3} x^{3 n}+16 a^{3}\right) \sqrt{b \,x^{n}+a}}{35 b^{4} n}"," ",0,"-2/35*(-5*(x^n)^3*b^3+6*a*(x^n)^2*b^2-8*a^2*b*x^n+16*a^3)*(b*x^n+a)^(1/2)/b^4/n","A"
2659,1,41,56,0.025000," ","int(x^(3*n-1)/(b*x^n+a)^(1/2),x)","\frac{2 \left(-4 a b \,x^{n}+3 b^{2} x^{2 n}+8 a^{2}\right) \sqrt{b \,x^{n}+a}}{15 b^{3} n}"," ",0,"2/15*(3*b^2*(x^n)^2-4*a*b*x^n+8*a^2)*(b*x^n+a)^(1/2)/b^3/n","A"
2660,1,28,36,0.023000," ","int(x^(2*n-1)/(b*x^n+a)^(1/2),x)","-\frac{2 \left(-b \,x^{n}+2 a \right) \sqrt{b \,x^{n}+a}}{3 b^{2} n}"," ",0,"-2/3*(-b*x^n+2*a)*(b*x^n+a)^(1/2)/b^2/n","A"
2661,1,18,17,0.020000," ","int(x^(n-1)/(b*x^n+a)^(1/2),x)","\frac{2 \sqrt{b \,x^{n}+a}}{b n}"," ",0,"2*(b*x^n+a)^(1/2)/b/n","A"
2662,1,23,22,0.000000," ","int(1/x/(b*x^n+a)^(1/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{b \,x^{n}+a}}{\sqrt{a}}\right)}{\sqrt{a}\, n}"," ",0,"-2*arctanh((b*x^n+a)^(1/2)/a^(1/2))/n/a^(1/2)","A"
2663,0,0,45,0.210000," ","int(x^(-n-1)/(b*x^n+a)^(1/2),x)","\int \frac{x^{-n -1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(-n-1)/(b*x^n+a)^(1/2),x)","F"
2664,0,0,73,0.202000," ","int(x^(-2*n-1)/(b*x^n+a)^(1/2),x)","\int \frac{x^{-2 n -1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(-2*n-1)/(b*x^n+a)^(1/2),x)","F"
2665,0,0,100,0.211000," ","int(x^(-3*n-1)/(b*x^n+a)^(1/2),x)","\int \frac{x^{-3 n -1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(-3*n-1)/(b*x^n+a)^(1/2),x)","F"
2666,0,0,127,0.211000," ","int(x^(-4*n-1)/(b*x^n+a)^(1/2),x)","\int \frac{x^{-4 n -1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(-4*n-1)/(b*x^n+a)^(1/2),x)","F"
2667,1,92,75,0.023000," ","int(x^m*(b*x^n+a)^3,x)","\frac{3 a^{2} b x \,{\mathrm e}^{m \ln \left(x \right)} {\mathrm e}^{n \ln \left(x \right)}}{m +n +1}+\frac{3 a \,b^{2} x \,{\mathrm e}^{m \ln \left(x \right)} {\mathrm e}^{2 n \ln \left(x \right)}}{m +2 n +1}+\frac{b^{3} x \,{\mathrm e}^{m \ln \left(x \right)} {\mathrm e}^{3 n \ln \left(x \right)}}{m +3 n +1}+\frac{a^{3} x \,{\mathrm e}^{m \ln \left(x \right)}}{m +1}"," ",0,"a^3/(m+1)*x*exp(m*ln(x))+b^3/(1+m+3*n)*x*exp(m*ln(x))*exp(n*ln(x))^3+3*a*b^2/(1+m+2*n)*x*exp(m*ln(x))*exp(n*ln(x))^2+3*a^2*b/(1+m+n)*x*exp(m*ln(x))*exp(n*ln(x))","A"
2668,1,63,51,0.019000," ","int(x^m*(b*x^n+a)^2,x)","\frac{2 a b x \,{\mathrm e}^{m \ln \left(x \right)} {\mathrm e}^{n \ln \left(x \right)}}{m +n +1}+\frac{b^{2} x \,{\mathrm e}^{m \ln \left(x \right)} {\mathrm e}^{2 n \ln \left(x \right)}}{m +2 n +1}+\frac{a^{2} x \,{\mathrm e}^{m \ln \left(x \right)}}{m +1}"," ",0,"a^2/(m+1)*x*exp(m*ln(x))+b^2/(m+2*n+1)*x*exp(m*ln(x))*exp(n*ln(x))^2+2*a*b/(m+n+1)*x*exp(m*ln(x))*exp(n*ln(x))","A"
2669,1,34,27,0.014000," ","int(x^m*(b*x^n+a),x)","\frac{b x \,{\mathrm e}^{m \ln \left(x \right)} {\mathrm e}^{n \ln \left(x \right)}}{m +n +1}+\frac{a x \,{\mathrm e}^{m \ln \left(x \right)}}{m +1}"," ",0,"a/(m+1)*x*exp(m*ln(x))+b/(m+n+1)*x*exp(m*ln(x))*exp(n*ln(x))","A"
2670,0,0,42,0.214000," ","int(x^m/(b*x^n+a),x)","\int \frac{x^{m}}{b \,x^{n}+a}\, dx"," ",0,"int(x^m/(b*x^n+a),x)","F"
2671,0,0,42,0.220000," ","int(x^m/(b*x^n+a)^2,x)","\int \frac{x^{m}}{\left(b \,x^{n}+a \right)^{2}}\, dx"," ",0,"int(x^m/(b*x^n+a)^2,x)","F"
2672,0,0,42,0.217000," ","int(x^m/(b*x^n+a)^3,x)","\int \frac{x^{m}}{\left(b \,x^{n}+a \right)^{3}}\, dx"," ",0,"int(x^m/(b*x^n+a)^3,x)","F"
2673,0,0,53,0.209000," ","int(x^m*(b*x^n+a)^(3/2),x)","\int \left(b \,x^{n}+a \right)^{\frac{3}{2}} x^{m}\, dx"," ",0,"int(x^m*(b*x^n+a)^(3/2),x)","F"
2674,0,0,53,0.211000," ","int(x^m*(b*x^n+a)^(1/2),x)","\int \sqrt{b \,x^{n}+a}\, x^{m}\, dx"," ",0,"int(x^m*(b*x^n+a)^(1/2),x)","F"
2675,0,0,53,0.205000," ","int(x^m/(b*x^n+a)^(1/2),x)","\int \frac{x^{m}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^m/(b*x^n+a)^(1/2),x)","F"
2676,0,0,53,0.210000," ","int(x^m/(b*x^n+a)^(3/2),x)","\int \frac{x^{m}}{\left(b \,x^{n}+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^m/(b*x^n+a)^(3/2),x)","F"
2677,0,0,53,0.208000," ","int(x^m/(b*x^n+a)^(5/2),x)","\int \frac{x^{m}}{\left(b \,x^{n}+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^m/(b*x^n+a)^(5/2),x)","F"
2678,0,0,53,0.230000," ","int(x^(2*n+3)/(b*x^n+a)^(1/2),x)","\int \frac{x^{2 n +3}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(2*n+3)/(b*x^n+a)^(1/2),x)","F"
2679,0,0,50,0.223000," ","int(x^(n+3)/(b*x^n+a)^(1/2),x)","\int \frac{x^{n +3}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(n+3)/(b*x^n+a)^(1/2),x)","F"
2680,0,0,52,0.212000," ","int(x^(3-n)/(b*x^n+a)^(1/2),x)","\int \frac{x^{-n +3}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(3-n)/(b*x^n+a)^(1/2),x)","F"
2681,0,0,55,0.211000," ","int(x^(3-2*n)/(b*x^n+a)^(1/2),x)","\int \frac{x^{-2 n +3}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(3-2*n)/(b*x^n+a)^(1/2),x)","F"
2682,0,0,61,0.206000," ","int(x^(m+2*n)/(b*x^n+a)^(1/2),x)","\int \frac{x^{m +2 n}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(m+2*n)/(b*x^n+a)^(1/2),x)","F"
2683,0,0,58,0.206000," ","int(x^(m+n)/(b*x^n+a)^(1/2),x)","\int \frac{x^{m +n}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(m+n)/(b*x^n+a)^(1/2),x)","F"
2684,0,0,58,0.205000," ","int(x^(m-n)/(b*x^n+a)^(1/2),x)","\int \frac{x^{m -n}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(m-n)/(b*x^n+a)^(1/2),x)","F"
2685,0,0,61,0.203000," ","int(x^(m-2*n)/(b*x^n+a)^(1/2),x)","\int \frac{x^{m -2 n}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(m-2*n)/(b*x^n+a)^(1/2),x)","F"
2686,0,0,13,0.234000," ","int(-1/2*b*n*x^(-1+m+n)/(b*x^n+a)^(3/2)+m*x^(-1+m)/(b*x^n+a)^(1/2),x)","\int -\frac{b n \,x^{m +n -1}}{2 \left(b \,x^{n}+a \right)^{\frac{3}{2}}}+\frac{m \,x^{m -1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(-1/2*b*n*x^(-1+m+n)/(b*x^n+a)^(3/2)+m*x^(-1+m)/(b*x^n+a)^(1/2),x)","F"
2687,1,98,101,0.109000," ","int(x^(-1+7/2*n)/(b*x^n+a)^(1/2),x)","-\frac{5 a^{3} \ln \left(\sqrt{b}\, {\mathrm e}^{\frac{n \ln \left(x \right)}{2}}+\sqrt{b \,{\mathrm e}^{n \ln \left(x \right)}+a}\right)}{8 b^{\frac{7}{2}} n}+\frac{\left(-10 a b \,{\mathrm e}^{n \ln \left(x \right)}+8 b^{2} {\mathrm e}^{2 n \ln \left(x \right)}+15 a^{2}\right) \sqrt{b \,{\mathrm e}^{n \ln \left(x \right)}+a}\, {\mathrm e}^{\frac{n \ln \left(x \right)}{2}}}{24 b^{3} n}"," ",0,"1/24*exp(1/2*n*ln(x))*(8*exp(1/2*n*ln(x))^4*b^2-10*a*exp(1/2*n*ln(x))^2*b+15*a^2)*(b*exp(1/2*n*ln(x))^2+a)^(1/2)/b^3/n-5/8*a^3/b^(7/2)/n*ln(b^(1/2)*exp(1/2*n*ln(x))+(b*exp(1/2*n*ln(x))^2+a)^(1/2))","A"
2688,1,82,76,0.036000," ","int(x^(-1+5/2*n)/(b*x^n+a)^(1/2),x)","\frac{3 a^{2} \ln \left(\sqrt{b}\, {\mathrm e}^{\frac{n \ln \left(x \right)}{2}}+\sqrt{b \,{\mathrm e}^{n \ln \left(x \right)}+a}\right)}{4 b^{\frac{5}{2}} n}-\frac{\left(-2 b \,{\mathrm e}^{n \ln \left(x \right)}+3 a \right) \sqrt{b \,{\mathrm e}^{n \ln \left(x \right)}+a}\, {\mathrm e}^{\frac{n \ln \left(x \right)}{2}}}{4 b^{2} n}"," ",0,"-1/4*exp(1/2*n*ln(x))*(-2*b*exp(1/2*n*ln(x))^2+3*a)*(b*exp(1/2*n*ln(x))^2+a)^(1/2)/b^2/n+3/4*a^2/b^(5/2)/n*ln(b^(1/2)*exp(1/2*n*ln(x))+(b*exp(1/2*n*ln(x))^2+a)^(1/2))","A"
2689,1,64,50,0.034000," ","int(x^(-1+3/2*n)/(b*x^n+a)^(1/2),x)","-\frac{a \ln \left(\sqrt{b}\, {\mathrm e}^{\frac{n \ln \left(x \right)}{2}}+\sqrt{b \,{\mathrm e}^{n \ln \left(x \right)}+a}\right)}{b^{\frac{3}{2}} n}+\frac{\sqrt{b \,{\mathrm e}^{n \ln \left(x \right)}+a}\, {\mathrm e}^{\frac{n \ln \left(x \right)}{2}}}{b n}"," ",0,"1/b/n*exp(1/2*n*ln(x))*(b*exp(1/2*n*ln(x))^2+a)^(1/2)-a/b^(3/2)/n*ln(b^(1/2)*exp(1/2*n*ln(x))+(b*exp(1/2*n*ln(x))^2+a)^(1/2))","A"
2690,0,0,27,0.215000," ","int(x^(-1+1/2*n)/(b*x^n+a)^(1/2),x)","\int \frac{x^{\frac{n}{2}-1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(-1+1/2*n)/(b*x^n+a)^(1/2),x)","F"
2691,0,0,24,0.215000," ","int(x^(-1-1/2*n)/(b*x^n+a)^(1/2),x)","\int \frac{x^{-\frac{n}{2}-1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(-1-1/2*n)/(b*x^n+a)^(1/2),x)","F"
2692,0,0,50,0.208000," ","int(x^(-1-3/2*n)/(b*x^n+a)^(1/2),x)","\int \frac{x^{-\frac{3 n}{2}-1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(-1-3/2*n)/(b*x^n+a)^(1/2),x)","F"
2693,0,0,77,0.211000," ","int(x^(-1-5/2*n)/(b*x^n+a)^(1/2),x)","\int \frac{x^{-\frac{5 n}{2}-1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(-1-5/2*n)/(b*x^n+a)^(1/2),x)","F"
2694,0,0,104,0.214000," ","int(x^(-1-7/2*n)/(b*x^n+a)^(1/2),x)","\int \frac{x^{-\frac{7 n}{2}-1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(x^(-1-7/2*n)/(b*x^n+a)^(1/2),x)","F"
2695,0,0,63,0.225000," ","int(x^m/(a+b*x^(m-2))^(1/2),x)","\int \frac{x^{m}}{\sqrt{b \,x^{m -2}+a}}\, dx"," ",0,"int(x^m/(a+b*x^(m-2))^(1/2),x)","F"
2696,0,0,65,0.214000," ","int(x^m/(a+b*x^(2-m))^(1/2),x)","\int \frac{x^{m}}{\sqrt{b \,x^{-m +2}+a}}\, dx"," ",0,"int(x^m/(a+b*x^(2-m))^(1/2),x)","F"
2697,1,40,24,0.047000," ","int(6*a*x^2/b/(m+4)/(b*x^(m-2)+a)^(1/2)+1/(b*x^(m-2)+a)^(1/2)*x^m,x)","\frac{2 \left(a \,x^{2}+b \,x^{m}\right) x}{\left(m +4\right) \sqrt{\frac{a \,x^{2}+b \,x^{m}}{x^{2}}}\, b}"," ",0,"2*x*(a*x^2+b*x^m)/b/(m+4)/((a*x^2+b*x^m)/x^2)^(1/2)","A"
2698,0,0,13,0.217000," ","int(1/2*x^(m-1)*(2*a*m+b*(2*m-n)*x^n)/(b*x^n+a)^(3/2),x)","\int \frac{\left(2 a m +\left(2 m -n \right) b \,x^{n}\right) x^{m -1}}{2 \left(b \,x^{n}+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/2*x^(m-1)*(2*a*m+b*(2*m-n)*x^n)/(b*x^n+a)^(3/2),x)","F"
2699,0,0,13,0.001000," ","int(-1/2/(b*x^n+a)^(3/2)*b*n*x^(m+n-1)+1/(b*x^n+a)^(1/2)*m*x^(m-1),x)","\int -\frac{b n \,x^{m +n -1}}{2 \left(b \,x^{n}+a \right)^{\frac{3}{2}}}+\frac{m \,x^{m -1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int(-1/2/(b*x^n+a)^(3/2)*b*n*x^(m+n-1)+1/(b*x^n+a)^(1/2)*m*x^(m-1),x)","F"
2700,0,0,81,0.220000," ","int(x^m/(a+b*x^(3*m+3))^(1/3),x)","\int \frac{x^{m}}{\left(b \,x^{3 m +3}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(x^m/(a+b*x^(3*m+3))^(1/3),x)","F"
2701,0,0,114,0.238000," ","int(x^m*(a+b/(x^(3/2*m+3/2)))^(2/3),x)","\int \left(b \,x^{-\frac{3 m}{2}-\frac{3}{2}}+a \right)^{\frac{2}{3}} x^{m}\, dx"," ",0,"int(x^m*(a+b/(x^(3/2*m+3/2)))^(2/3),x)","F"
2702,0,0,68,0.214000," ","int(x^(-1+1/3*n)/(b*x^n+a)^(1/3),x)","\int \frac{x^{\frac{n}{3}-1}}{\left(b \,x^{n}+a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(x^(-1+1/3*n)/(b*x^n+a)^(1/3),x)","F"
2703,0,0,89,0.215000," ","int(x^(-1-2/3*n)*(b*x^n+a)^(2/3),x)","\int \left(b \,x^{n}+a \right)^{\frac{2}{3}} x^{-\frac{2 n}{3}-1}\, dx"," ",0,"int(x^(-1-2/3*n)*(b*x^n+a)^(2/3),x)","F"
2704,0,0,56,0.212000," ","int(x^m*(b*x^n+a)^p,x)","\int x^{m} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int(x^m*(b*x^n+a)^p,x)","F"
2705,0,0,142,0.217000," ","int((b*x^n+a)^(-4-1/n),x)","\int \left(b \,x^{n}+a \right)^{-\frac{1}{n}-4}\, dx"," ",0,"int((b*x^n+a)^(-4-1/n),x)","F"
2706,0,0,96,0.217000," ","int((b*x^n+a)^(-3-1/n),x)","\int \left(b \,x^{n}+a \right)^{-\frac{1}{n}-3}\, dx"," ",0,"int((b*x^n+a)^(-3-1/n),x)","F"
2707,0,0,50,0.216000," ","int((b*x^n+a)^(-2-1/n),x)","\int \left(b \,x^{n}+a \right)^{-\frac{1}{n}-2}\, dx"," ",0,"int((b*x^n+a)^(-2-1/n),x)","F"
2708,1,53,18,0.029000," ","int((b*x^n+a)^(-1-1/n),x)","\frac{b x \,{\mathrm e}^{n \ln \left(x \right)} {\mathrm e}^{\left(-\frac{1}{n}-1\right) \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}}{a}+x \,{\mathrm e}^{\left(-\frac{1}{n}-1\right) \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}"," ",0,"x*exp((-1-1/n)*ln(b*exp(n*ln(x))+a))+1/a*b*x*exp(n*ln(x))*exp((-1-1/n)*ln(b*exp(n*ln(x))+a))","B"
2709,0,0,52,0.218000," ","int(1/((b*x^n+a)^(1/n)),x)","\int \left(b \,x^{n}+a \right)^{-\frac{1}{n}}\, dx"," ",0,"int(1/((b*x^n+a)^(1/n)),x)","F"
2710,0,0,55,0.292000," ","int((b*x^n+a)^(1-1/n),x)","\int \left(b \,x^{n}+a \right)^{-\frac{1}{n}+1}\, dx"," ",0,"int((b*x^n+a)^(1-1/n),x)","F"
2711,0,0,57,0.293000," ","int((b*x^n+a)^(2-1/n),x)","\int \left(b \,x^{n}+a \right)^{-\frac{1}{n}+2}\, dx"," ",0,"int((b*x^n+a)^(2-1/n),x)","F"
2712,1,22,21,0.000000," ","int(x^m*(b*x^n)^p,x)","\frac{x^{m +1} \left(b \,x^{n}\right)^{p}}{n p +m +1}"," ",0,"1/(n*p+m+1)*x^(m+1)*(b*x^n)^p","A"
2713,1,19,18,0.003000," ","int(x^2*(b*x^n)^p,x)","\frac{x^{3} \left(b \,x^{n}\right)^{p}}{n p +3}"," ",0,"1/(n*p+3)*x^3*(b*x^n)^p","A"
2714,1,19,18,0.002000," ","int(x*(b*x^n)^p,x)","\frac{x^{2} \left(b \,x^{n}\right)^{p}}{n p +2}"," ",0,"1/(n*p+2)*x^2*(b*x^n)^p","A"
2715,1,17,16,0.002000," ","int((b*x^n)^p,x)","\frac{x \left(b \,x^{n}\right)^{p}}{n p +1}"," ",0,"1/(n*p+1)*x*(b*x^n)^p","A"
2716,1,15,14,0.001000," ","int((b*x^n)^p/x,x)","\frac{\left(b \,x^{n}\right)^{p}}{n p}"," ",0,"1/n/p*(b*x^n)^p","A"
2717,1,19,20,0.002000," ","int((b*x^n)^p/x^2,x)","\frac{\left(b \,x^{n}\right)^{p}}{\left(n p -1\right) x}"," ",0,"1/x/(n*p-1)*(b*x^n)^p","A"
2718,1,19,20,0.001000," ","int((b*x^n)^p/x^3,x)","\frac{\left(b \,x^{n}\right)^{p}}{\left(n p -2\right) x^{2}}"," ",0,"1/x^2/(n*p-2)*(b*x^n)^p","A"
2719,1,19,20,0.003000," ","int((b*x^n)^p/x^4,x)","\frac{\left(b \,x^{n}\right)^{p}}{\left(n p -3\right) x^{3}}"," ",0,"1/x^3/(n*p-3)*(b*x^n)^p","A"
2720,1,29,23,0.053000," ","int(x^(n-1)*(b*x^n+a)^p,x)","\frac{\left(b \,x^{n}+a \right) \left(b \,x^{n}+a \right)^{p}}{\left(p +1\right) b n}"," ",0,"(b*x^n+a)/b/(p+1)/n*(b*x^n+a)^p","A"
2721,1,61,49,0.057000," ","int(x^(2*n-1)*(b*x^n+a)^p,x)","-\frac{\left(-a b p \,x^{n}-b^{2} p \,x^{2 n}-b^{2} x^{2 n}+a^{2}\right) \left(b \,x^{n}+a \right)^{p}}{\left(p +1\right) \left(p +2\right) b^{2} n}"," ",0,"-(-b^2*p*(x^n)^2-x^n*a*p*b-b^2*(x^n)^2+a^2)/(p+1)/(p+2)/n/b^2*(b*x^n+a)^p","A"
2722,1,105,75,0.071000," ","int(x^(3*n-1)*(b*x^n+a)^p,x)","\frac{\left(a \,b^{2} p^{2} x^{2 n}+b^{3} p^{2} x^{3 n}-2 a^{2} b p \,x^{n}+a \,b^{2} p \,x^{2 n}+3 b^{3} p \,x^{3 n}+2 b^{3} x^{3 n}+2 a^{3}\right) \left(b \,x^{n}+a \right)^{p}}{\left(p +2\right) \left(p +3\right) \left(p +1\right) b^{3} n}"," ",0,"(b^3*p^2*(x^n)^3+a*b^2*p^2*(x^n)^2+3*b^3*p*(x^n)^3+(x^n)^2*a*p*b^2+2*(x^n)^3*b^3-2*x^n*a^2*p*b+2*a^3)/(p+2)/(3+p)/(p+1)/n/b^3*(b*x^n+a)^p","A"
2723,1,171,103,0.076000," ","int(x^(-1+4*n)*(b*x^n+a)^p,x)","-\frac{\left(-a \,b^{3} p^{3} x^{3 n}-b^{4} p^{3} x^{4 n}+3 a^{2} b^{2} p^{2} x^{2 n}-3 a \,b^{3} p^{2} x^{3 n}-6 b^{4} p^{2} x^{4 n}-6 a^{3} b p \,x^{n}+3 a^{2} b^{2} p \,x^{2 n}-2 a \,b^{3} p \,x^{3 n}-11 b^{4} p \,x^{4 n}-6 b^{4} x^{4 n}+6 a^{4}\right) \left(b \,x^{n}+a \right)^{p}}{\left(p +3\right) \left(p +4\right) \left(p +2\right) \left(p +1\right) b^{4} n}"," ",0,"-(-b^4*p^3*(x^n)^4-a*b^3*p^3*(x^n)^3-6*b^4*p^2*(x^n)^4-3*a*b^3*p^2*(x^n)^3-11*b^4*p*(x^n)^4+3*a^2*b^2*p^2*(x^n)^2-2*a*p*(x^n)^3*b^3-6*b^4*(x^n)^4+3*(x^n)^2*a^2*p*b^2-6*p*a^3*x^n*b+6*a^4)/(p+3)/(4+p)/(p+2)/(p+1)/n/b^4*(b*x^n+a)^p","A"
2724,0,0,33,0.212000," ","int(x^(-n*p-n-1)*(b*x^n+a)^p,x)","\int x^{-n p -n -1} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int(x^(-n*p-n-1)*(b*x^n+a)^p,x)","F"
2725,1,136,24,0.002000," ","int(x^(-1-9*n)*(b*x^n+a)^8,x)","-\frac{a^{8} x^{-9 n}}{9 n}-\frac{a^{7} b \,x^{-8 n}}{n}-\frac{4 a^{6} b^{2} x^{-7 n}}{n}-\frac{28 a^{5} b^{3} x^{-6 n}}{3 n}-\frac{14 a^{4} b^{4} x^{-5 n}}{n}-\frac{14 a^{3} b^{5} x^{-4 n}}{n}-\frac{28 a^{2} b^{6} x^{-3 n}}{3 n}-\frac{4 a \,b^{7} x^{-2 n}}{n}-\frac{b^{8} x^{-n}}{n}"," ",0,"-b^8/n/(x^n)-4*a*b^7/n/(x^n)^2-28/3*a^2*b^6/n/(x^n)^3-14*a^3*b^5/n/(x^n)^4-14*a^4*b^4/n/(x^n)^5-28/3*a^5*b^3/n/(x^n)^6-4*a^6*b^2/n/(x^n)^7-a^7*b/n/(x^n)^8-1/9*a^8/n/(x^n)^9","B"
2726,1,29,30,0.005000," ","int(x^(-4-3*p)*(b*x^3+a)^p,x)","-\frac{x^{-3 p -3} \left(b \,x^{3}+a \right)^{p +1}}{3 \left(p +1\right) a}"," ",0,"-1/3*x^(-3-3*p)*(b*x^3+a)^(p+1)/a/(p+1)","A"
2727,1,91,17,0.009000," ","int((b*x^3+a)^8/x^28,x)","-\frac{b^{8}}{3 x^{3}}-\frac{4 a \,b^{7}}{3 x^{6}}-\frac{28 a^{2} b^{6}}{9 x^{9}}-\frac{14 a^{3} b^{5}}{3 x^{12}}-\frac{14 a^{4} b^{4}}{3 x^{15}}-\frac{28 a^{5} b^{3}}{9 x^{18}}-\frac{4 a^{6} b^{2}}{3 x^{21}}-\frac{a^{7} b}{3 x^{24}}-\frac{a^{8}}{27 x^{27}}"," ",0,"-1/27*a^8/x^27-1/3*a^7*b/x^24-1/3*b^8/x^3-4/3*a^6*b^2/x^21-28/9*a^5*b^3/x^18-28/9*a^2*b^6/x^9-4/3*a*b^7/x^6-14/3*a^4*b^4/x^15-14/3*a^3*b^5/x^12","B"
2728,1,29,23,0.001000," ","int(1/x/(b*x^n+a),x)","\frac{\ln \left(x^{n}\right)}{a n}-\frac{\ln \left(b \,x^{n}+a \right)}{a n}"," ",0,"1/a/n*ln(x^n)-1/a/n*ln(b*x^n+a)","A"
2729,1,21,20,0.004000," ","int(1/x/(b*x^3+a),x)","\frac{\ln \left(x \right)}{a}-\frac{\ln \left(b \,x^{3}+a \right)}{3 a}"," ",0,"1/a*ln(x)-1/3/a*ln(b*x^3+a)","A"
2730,0,0,144,0.214000," ","int(1/((b*x^n+a)^((1+4*n)/n)),x)","\int \left(b \,x^{n}+a \right)^{-\frac{4 n +1}{n}}\, dx"," ",0,"int(1/((b*x^n+a)^((1+4*n)/n)),x)","F"
2731,0,0,98,0.218000," ","int(1/((b*x^n+a)^((3*n+1)/n)),x)","\int \left(b \,x^{n}+a \right)^{-\frac{3 n +1}{n}}\, dx"," ",0,"int(1/((b*x^n+a)^((3*n+1)/n)),x)","F"
2732,0,0,52,0.213000," ","int(1/((b*x^n+a)^((2*n+1)/n)),x)","\int \left(b \,x^{n}+a \right)^{-\frac{2 n +1}{n}}\, dx"," ",0,"int(1/((b*x^n+a)^((2*n+1)/n)),x)","F"
2733,1,35,18,0.027000," ","int(1/((b*x^n+a)^((n+1)/n)),x)","\left(\frac{b x \,{\mathrm e}^{n \ln \left(x \right)}}{a}+x \right) {\mathrm e}^{\frac{\left(-n -1\right) \ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right)}{n}}"," ",0,"(x+1/a*b*x*exp(n*ln(x)))/exp((n+1)/n*ln(b*exp(n*ln(x))+a))","A"
2734,0,0,52,0.000000," ","int(1/((b*x^n+a)^(1/n)),x)","\int \left(b \,x^{n}+a \right)^{-\frac{1}{n}}\, dx"," ",0,"int(1/((b*x^n+a)^(1/n)),x)","F"
2735,0,0,62,0.214000," ","int(1/((b*x^n+a)^((1-n)/n)),x)","\int \left(b \,x^{n}+a \right)^{-\frac{-n +1}{n}}\, dx"," ",0,"int(1/((b*x^n+a)^((1-n)/n)),x)","F"
2736,0,0,58,0.214000," ","int(1/((b*x^n+a)^((1-2*n)/n)),x)","\int \left(b \,x^{n}+a \right)^{-\frac{-2 n +1}{n}}\, dx"," ",0,"int(1/((b*x^n+a)^((1-2*n)/n)),x)","F"
2737,1,16,15,0.003000," ","int(1/x/(a+b/(x^n)),x)","\frac{\ln \left(a \,x^{n}+b \right)}{a n}"," ",0,"ln(b+a*x^n)/a/n","A"
2738,1,21,19,0.015000," ","int(x^m/(a+b*x^(m+1)),x)","\frac{\ln \left(b x \,{\mathrm e}^{m \ln \left(x \right)}+a \right)}{\left(m +1\right) b}"," ",0,"1/b/(m+1)*ln(a+b*x*exp(m*ln(x)))","A"
2739,1,60,27,0.037000," ","int(x^m*(a+b*x^(m+1))^n,x)","\frac{x \,{\mathrm e}^{m \ln \left(x \right)} {\mathrm e}^{n \ln \left(b x \,{\mathrm e}^{m \ln \left(x \right)}+a \right)}}{m n +m +n +1}+\frac{a \,{\mathrm e}^{n \ln \left(b x \,{\mathrm e}^{m \ln \left(x \right)}+a \right)}}{\left(m n +m +n +1\right) b}"," ",0,"a/b/(m*n+m+n+1)*exp(n*ln(b*x*exp(m*ln(x))+a))+1/(m*n+m+n+1)*x*exp(m*ln(x))*exp(n*ln(b*x*exp(m*ln(x))+a))","B"
2740,1,70,67,0.022000," ","int(x^m*(a+b*x^(2*m+2))^3,x)","\frac{b^{3} x^{7} x^{7 m}}{7 m +7}+\frac{3 a \,b^{2} x^{5} x^{5 m}}{5 \left(m +1\right)}+\frac{a^{2} b \,x^{3} x^{3 m}}{m +1}+\frac{a^{3} x \,x^{m}}{m +1}"," ",0,"1/7*b^3*x^7/(m+1)*(x^m)^7+3/5*a*b^2*x^5/(m+1)*(x^m)^5+a^2*b*x^3/(m+1)*(x^m)^3+1/(m+1)*a^3*x*x^m","A"
2741,1,50,48,0.020000," ","int(x^m*(a+b*x^(2*m+2))^2,x)","\frac{b^{2} x^{5} x^{5 m}}{5 m +5}+\frac{2 a b \,x^{3} x^{3 m}}{3 \left(m +1\right)}+\frac{a^{2} x \,x^{m}}{m +1}"," ",0,"1/5*b^2*x^5/(m+1)*(x^m)^5+2/3*a*b*x^3/(m+1)*(x^m)^3+1/(m+1)*a^2*x*x^m","A"
2742,1,33,28,0.021000," ","int(x^m*(a+b*x^(2*m+2)),x)","\frac{b \,x^{3} {\mathrm e}^{3 m \ln \left(x \right)}}{3 m +3}+\frac{a x \,{\mathrm e}^{m \ln \left(x \right)}}{m +1}"," ",0,"1/(m+1)*a*x*exp(m*ln(x))+1/3*b/(m+1)*x^3*exp(m*ln(x))^3","A"
2743,1,61,25,0.063000," ","int(x^m/(a+b*x^(2*m+2)),x)","-\frac{\ln \left(x^{m}-\frac{a}{\sqrt{-a b}\, x}\right)}{2 \sqrt{-a b}\, \left(m +1\right)}+\frac{\ln \left(x^{m}+\frac{a}{\sqrt{-a b}\, x}\right)}{2 \sqrt{-a b}\, \left(m +1\right)}"," ",0,"-1/2/(-a*b)^(1/2)/(m+1)*ln(x^m-a/x/(-a*b)^(1/2))+1/2/(-a*b)^(1/2)/(m+1)*ln(x^m+a/x/(-a*b)^(1/2))","B"
2744,1,95,55,0.051000," ","int(x^m/(a+b*x^(2*m+2))^2,x)","\frac{x \,x^{m}}{2 \left(m +1\right) \left(b \,x^{2} x^{2 m}+a \right) a}-\frac{\ln \left(x^{m}-\frac{a}{\sqrt{-a b}\, x}\right)}{4 \sqrt{-a b}\, \left(m +1\right) a}+\frac{\ln \left(x^{m}+\frac{a}{\sqrt{-a b}\, x}\right)}{4 \sqrt{-a b}\, \left(m +1\right) a}"," ",0,"1/2*x/(m+1)/a*x^m/(a+b*x^2*(x^m)^2)-1/4/(-a*b)^(1/2)/(m+1)/a*ln(x^m-1/(-a*b)^(1/2)*a/x)+1/4/(-a*b)^(1/2)/(m+1)/a*ln(x^m+1/(-a*b)^(1/2)*a/x)","A"
2745,1,110,83,0.052000," ","int(x^m/(a+b*x^(2*m+2))^3,x)","\frac{\left(3 b \,x^{2} x^{2 m}+5 a \right) x \,x^{m}}{8 \left(m +1\right) \left(b \,x^{2} x^{2 m}+a \right)^{2} a^{2}}-\frac{3 \ln \left(x^{m}-\frac{a}{\sqrt{-a b}\, x}\right)}{16 \sqrt{-a b}\, \left(m +1\right) a^{2}}+\frac{3 \ln \left(x^{m}+\frac{a}{\sqrt{-a b}\, x}\right)}{16 \sqrt{-a b}\, \left(m +1\right) a^{2}}"," ",0,"1/8*x*x^m*(3*b*x^2*(x^m)^2+5*a)/(m+1)/a^2/(a+b*x^2*(x^m)^2)^2-3/16/(-a*b)^(1/2)/(m+1)/a^2*ln(x^m-1/(-a*b)^(1/2)*a/x)+3/16/(-a*b)^(1/2)/(m+1)/a^2*ln(x^m+1/(-a*b)^(1/2)*a/x)","A"
2746,0,0,116,0.229000," ","int(x^m*(a+b*x^(2*m+2))^(5/2),x)","\int \left(b \,x^{2 m +2}+a \right)^{\frac{5}{2}} x^{m}\, dx"," ",0,"int(x^m*(a+b*x^(2*m+2))^(5/2),x)","F"
2747,0,0,88,0.221000," ","int(x^m*(b*x^(2*m+2)+a)^(3/2),x)","\int \left(b \,x^{2 m +2}+a \right)^{\frac{3}{2}} x^{m}\, dx"," ",0,"int(x^m*(b*x^(2*m+2)+a)^(3/2),x)","F"
2748,0,0,60,0.226000," ","int(x^m*(b*x^(2*m+2)+a)^(1/2),x)","\int \sqrt{b \,x^{2 m +2}+a}\, x^{m}\, dx"," ",0,"int(x^m*(b*x^(2*m+2)+a)^(1/2),x)","F"
2749,0,0,32,0.205000," ","int(x^m/(b*x^(2*m+2)+a)^(1/2),x)","\int \frac{x^{m}}{\sqrt{b \,x^{2 m +2}+a}}\, dx"," ",0,"int(x^m/(b*x^(2*m+2)+a)^(1/2),x)","F"
2750,0,0,27,0.215000," ","int(x^m/(b*x^(2*m+2)+a)^(3/2),x)","\int \frac{x^{m}}{\left(b \,x^{2 m +2}+a \right)^{\frac{3}{2}}}\, dx"," ",0,"int(x^m/(b*x^(2*m+2)+a)^(3/2),x)","F"
2751,0,0,59,0.219000," ","int(x^m/(b*x^(2*m+2)+a)^(5/2),x)","\int \frac{x^{m}}{\left(b \,x^{2 m +2}+a \right)^{\frac{5}{2}}}\, dx"," ",0,"int(x^m/(b*x^(2*m+2)+a)^(5/2),x)","F"
2752,0,0,92,0.218000," ","int(x^m/(b*x^(2*m+2)+a)^(7/2),x)","\int \frac{x^{m}}{\left(b \,x^{2 m +2}+a \right)^{\frac{7}{2}}}\, dx"," ",0,"int(x^m/(b*x^(2*m+2)+a)^(7/2),x)","F"
2753,1,17,16,0.032000," ","int(x^n*(1+x^(n+1))^(1/2),x)","\frac{2 \left(x \,x^{n}+1\right)^{\frac{3}{2}}}{3 \left(n +1\right)}"," ",0,"2/3*(1+x*x^n)^(3/2)/(n+1)","A"
2754,1,19,18,0.030000," ","int(x^n*(a^2+x^(n+1))^(1/2),x)","\frac{2 \left(a^{2}+x \,x^{n}\right)^{\frac{3}{2}}}{3 \left(n +1\right)}"," ",0,"2/3*(a^2+x*x^n)^(3/2)/(n+1)","A"
2755,1,234,64,0.055000," ","int((c*x)^m*(b*x^n+a)^2,x)","\frac{\left(2 a b \,m^{2} x^{n}+4 a b m n \,x^{n}+b^{2} m^{2} x^{2 n}+b^{2} m n \,x^{2 n}+a^{2} m^{2}+3 a^{2} m n +2 a^{2} n^{2}+4 a b m \,x^{n}+4 a b n \,x^{n}+2 b^{2} m \,x^{2 n}+b^{2} n \,x^{2 n}+2 a^{2} m +3 a^{2} n +2 a b \,x^{n}+b^{2} x^{2 n}+a^{2}\right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i c x \right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i c x \right)^{2}-i \pi  \mathrm{csgn}\left(i c x \right)^{3}+2 \ln \left(c \right)+2 \ln \left(x \right)\right) m}{2}}}{\left(m +1\right) \left(m +n +1\right) \left(m +2 n +1\right)}"," ",0,"x*(b^2*m^2*(x^n)^2+b^2*m*n*(x^n)^2+2*a*b*m^2*x^n+4*a*b*m*n*x^n+2*m*b^2*(x^n)^2+b^2*n*(x^n)^2+a^2*m^2+3*a^2*m*n+2*a^2*n^2+4*m*a*b*x^n+4*a*b*n*x^n+b^2*(x^n)^2+2*m*a^2+3*a^2*n+2*a*b*x^n+a^2)/(m+1)/(m+n+1)/(m+2*n+1)*exp(1/2*m*(-I*Pi*csgn(I*c*x)^3+I*Pi*csgn(I*c*x)^2*csgn(I*c)+I*Pi*csgn(I*c*x)^2*csgn(I*x)-I*Pi*csgn(I*c*x)*csgn(I*c)*csgn(I*x)+2*ln(x)+2*ln(c)))","C"
2756,1,94,58,0.008000," ","int((c*x)^m*(b*x^3+a)^2,x)","\frac{\left(b^{2} m^{2} x^{6}+5 b^{2} m \,x^{6}+4 b^{2} x^{6}+2 a b \,m^{2} x^{3}+16 a b m \,x^{3}+14 a b \,x^{3}+a^{2} m^{2}+11 a^{2} m +28 a^{2}\right) x \left(c x \right)^{m}}{\left(m +7\right) \left(m +4\right) \left(m +1\right)}"," ",0,"x*(b^2*m^2*x^6+5*b^2*m*x^6+4*b^2*x^6+2*a*b*m^2*x^3+16*a*b*m*x^3+14*a*b*x^3+a^2*m^2+11*a^2*m+28*a^2)*(c*x)^m/(m+7)/(m+4)/(m+1)","A"
2757,1,94,58,0.004000," ","int((c*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 \left(c x \right)^{m}}{\left(m +5\right) \left(m +3\right) \left(m +1\right)}"," ",0,"x*(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)*(c*x)^m/(m+5)/(m+3)/(m+1)","A"
2758,1,88,58,0.004000," ","int((c*x)^m*(b*x+a)^2,x)","\frac{\left(b^{2} m^{2} x^{2}+2 a b \,m^{2} x +3 b^{2} m \,x^{2}+a^{2} m^{2}+8 a b m x +2 b^{2} x^{2}+5 a^{2} m +6 a b x +6 a^{2}\right) x \left(c x \right)^{m}}{\left(m +3\right) \left(m +2\right) \left(m +1\right)}"," ",0,"x*(b^2*m^2*x^2+2*a*b*m^2*x+3*b^2*m*x^2+a^2*m^2+8*a*b*m*x+2*b^2*x^2+5*a^2*m+6*a*b*x+6*a^2)*(c*x)^m/(m+3)/(m+2)/(m+1)","A"
2759,1,68,52,0.006000," ","int((a+b/x)^2*(c*x)^m,x)","\frac{\left(a^{2} x^{2} m^{2}-a^{2} x^{2} m +2 a b \,m^{2} x +b^{2} m^{2}-2 a b x +b^{2} m \right) \left(c x \right)^{m}}{\left(m +1\right) \left(m -1\right) m x}"," ",0,"(c*x)^m*(a^2*m^2*x^2-a^2*m*x^2+2*a*b*m^2*x+b^2*m^2-2*a*b*x+b^2*m)/x/(m+1)/m/(m-1)","A"
2760,1,90,61,0.005000," ","int((a+b/x^2)^2*(c*x)^m,x)","\frac{\left(a^{2} m^{2} x^{4}-4 a^{2} m \,x^{4}+3 a^{2} x^{4}+2 a b \,m^{2} x^{2}-4 a b m \,x^{2}-6 a b \,x^{2}+b^{2} m^{2}-b^{2}\right) \left(c x \right)^{m}}{\left(m +1\right) \left(m -1\right) \left(m -3\right) x^{3}}"," ",0,"(c*x)^m*(a^2*m^2*x^4-4*a^2*m*x^4+3*a^2*x^4+2*a*b*m^2*x^2-4*a*b*m*x^2-6*a*b*x^2+b^2*m^2-b^2)/x^3/(m+1)/(m-1)/(-3+m)","A"
2761,1,96,63,0.006000," ","int((a+b/x^3)^2*(c*x)^m,x)","\frac{\left(a^{2} m^{2} x^{6}-7 a^{2} m \,x^{6}+10 a^{2} x^{6}+2 a b \,m^{2} x^{3}-8 a b m \,x^{3}-10 a b \,x^{3}+b^{2} m^{2}-b^{2} m -2 b^{2}\right) \left(c x \right)^{m}}{\left(m +1\right) \left(m -2\right) \left(m -5\right) x^{5}}"," ",0,"(c*x)^m*(a^2*m^2*x^6-7*a^2*m*x^6+10*a^2*x^6+2*a*b*m^2*x^3-8*a*b*m*x^3-10*a*b*x^3+b^2*m^2-b^2*m-2*b^2)/x^5/(m+1)/(m-2)/(-5+m)","A"
2762,0,0,64,0.221000," ","int((c*x)^(-1/2*n-1)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{-\frac{n}{2}-1}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(-1/2*n-1)/(b*x^n+a),x)","F"
2763,0,0,171,0.223000," ","int((c*x)^(-2/3*n-1)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{-\frac{2 n}{3}-1}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(-2/3*n-1)/(b*x^n+a),x)","F"
2764,0,0,240,0.216000," ","int((c*x)^(-1-3/4*n)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{-\frac{3 n}{4}-1}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(-1-3/4*n)/(b*x^n+a),x)","F"
2765,0,0,69,0.212000," ","int((c*x)^(-n-1)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{-n -1}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(-n-1)/(b*x^n+a),x)","F"
2766,0,0,64,0.000000," ","int(1/(b*x^n+a)*(c*x)^(-1/2*n-1),x)","\int \frac{\left(c x \right)^{-\frac{n}{2}-1}}{b \,x^{n}+a}\, dx"," ",0,"int(1/(b*x^n+a)*(c*x)^(-1/2*n-1),x)","F"
2767,0,0,179,0.214000," ","int((c*x)^(-1-1/3*n)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{-\frac{n}{3}-1}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(-1-1/3*n)/(b*x^n+a),x)","F"
2768,0,0,252,0.219000," ","int((c*x)^(-1-1/4*n)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{-\frac{n}{4}-1}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(-1-1/4*n)/(b*x^n+a),x)","F"
2769,0,0,88,0.228000," ","int((c*x)^(-3/2*n-1)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{-\frac{3 n}{2}-1}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(-3/2*n-1)/(b*x^n+a),x)","F"
2770,0,0,201,0.211000," ","int((c*x)^(-1-4/3*n)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{-\frac{4 n}{3}-1}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(-1-4/3*n)/(b*x^n+a),x)","F"
2771,0,0,276,0.217000," ","int((c*x)^(-1-5/4*n)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{-\frac{5 n}{4}-1}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(-1-5/4*n)/(b*x^n+a),x)","F"
2772,0,0,46,0.217000," ","int((c*x)^(n+4)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{n +4}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(n+4)/(b*x^n+a),x)","F"
2773,0,0,46,0.212000," ","int((c*x)^(n+3)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{n +3}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(n+3)/(b*x^n+a),x)","F"
2774,0,0,46,0.211000," ","int((c*x)^(n+2)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{n +2}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(n+2)/(b*x^n+a),x)","F"
2775,0,0,46,0.217000," ","int((c*x)^(n+1)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{n +1}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(n+1)/(b*x^n+a),x)","F"
2776,0,0,42,0.217000," ","int((c*x)^n/(b*x^n+a),x)","\int \frac{\left(c x \right)^{n}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^n/(b*x^n+a),x)","F"
2777,0,0,28,0.293000," ","int((c*x)^(n-1)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{n -1}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(n-1)/(b*x^n+a),x)","F"
2778,0,0,49,0.228000," ","int((c*x)^(n-2)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{n -2}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(n-2)/(b*x^n+a),x)","F"
2779,0,0,49,0.230000," ","int((c*x)^(n-3)/(b*x^n+a),x)","\int \frac{\left(c x \right)^{n -3}}{b \,x^{n}+a}\, dx"," ",0,"int((c*x)^(n-3)/(b*x^n+a),x)","F"
2780,1,99,24,0.026000," ","int((c*x)^(n-1)/(b*x^n+a)^2,x)","\frac{x \,{\mathrm e}^{\frac{\left(n -1\right) \left(-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i c x \right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i c x \right)^{2}-i \pi  \mathrm{csgn}\left(i c x \right)^{3}+2 \ln \left(c \right)+2 \ln \left(x \right)\right)}{2}}}{\left(b \,x^{n}+a \right) a n}"," ",0,"1/a/n*x/(b*x^n+a)*exp(1/2*(n-1)*(-I*Pi*csgn(I*c)*csgn(I*x)*csgn(I*c*x)+I*Pi*csgn(I*c)*csgn(I*c*x)^2+I*Pi*csgn(I*x)*csgn(I*c*x)^2-I*Pi*csgn(I*c*x)^3+2*ln(c)+2*ln(x)))","C"
2781,0,0,152,0.270000," ","int((c*x)^(-1+7/2*n)/(b*x^n+a)^(1/2),x)","\int \frac{\left(c x \right)^{\frac{7 n}{2}-1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int((c*x)^(-1+7/2*n)/(b*x^n+a)^(1/2),x)","F"
2782,0,0,115,0.231000," ","int((c*x)^(-1+5/2*n)/(b*x^n+a)^(1/2),x)","\int \frac{\left(c x \right)^{\frac{5 n}{2}-1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int((c*x)^(-1+5/2*n)/(b*x^n+a)^(1/2),x)","F"
2783,0,0,77,0.217000," ","int((c*x)^(-1+3/2*n)/(b*x^n+a)^(1/2),x)","\int \frac{\left(c x \right)^{\frac{3 n}{2}-1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int((c*x)^(-1+3/2*n)/(b*x^n+a)^(1/2),x)","F"
2784,0,0,44,0.216000," ","int((c*x)^(1/2*n-1)/(b*x^n+a)^(1/2),x)","\int \frac{\left(c x \right)^{\frac{n}{2}-1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int((c*x)^(1/2*n-1)/(b*x^n+a)^(1/2),x)","F"
2785,0,0,29,0.213000," ","int((c*x)^(-1/2*n-1)/(b*x^n+a)^(1/2),x)","\int \frac{\left(c x \right)^{-\frac{n}{2}-1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int((c*x)^(-1/2*n-1)/(b*x^n+a)^(1/2),x)","F"
2786,0,0,59,0.221000," ","int((c*x)^(-3/2*n-1)/(b*x^n+a)^(1/2),x)","\int \frac{\left(c x \right)^{-\frac{3 n}{2}-1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int((c*x)^(-3/2*n-1)/(b*x^n+a)^(1/2),x)","F"
2787,0,0,88,0.218000," ","int((c*x)^(-5/2*n-1)/(b*x^n+a)^(1/2),x)","\int \frac{\left(c x \right)^{-\frac{5 n}{2}-1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int((c*x)^(-5/2*n-1)/(b*x^n+a)^(1/2),x)","F"
2788,0,0,117,0.209000," ","int((c*x)^(-7/2*n-1)/(b*x^n+a)^(1/2),x)","\int \frac{\left(c x \right)^{-\frac{7 n}{2}-1}}{\sqrt{b \,x^{n}+a}}\, dx"," ",0,"int((c*x)^(-7/2*n-1)/(b*x^n+a)^(1/2),x)","F"
2789,0,0,61,0.217000," ","int((c*x)^m*(b*x^n+a)^p,x)","\int \left(c x \right)^{m} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((c*x)^m*(b*x^n+a)^p,x)","F"
2790,0,0,58,0.217000," ","int((c*x)^(3*n)*(b*x^n+a)^p,x)","\int \left(c x \right)^{3 n} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((c*x)^(3*n)*(b*x^n+a)^p,x)","F"
2791,0,0,58,0.223000," ","int((c*x)^(2*n)*(b*x^n+a)^p,x)","\int \left(c x \right)^{2 n} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((c*x)^(2*n)*(b*x^n+a)^p,x)","F"
2792,0,0,54,0.215000," ","int((c*x)^n*(b*x^n+a)^p,x)","\int \left(c x \right)^{n} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((c*x)^n*(b*x^n+a)^p,x)","F"
2793,0,0,40,0.218000," ","int((b*x^n+a)^p,x)","\int \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((b*x^n+a)^p,x)","F"
2794,0,0,55,0.220000," ","int((b*x^n+a)^p/((c*x)^n),x)","\int \left(c x \right)^{-n} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((b*x^n+a)^p/((c*x)^n),x)","F"
2795,0,0,58,0.216000," ","int((b*x^n+a)^p/((c*x)^(2*n)),x)","\int \left(c x \right)^{-2 n} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((b*x^n+a)^p/((c*x)^(2*n)),x)","F"
2796,0,0,58,0.216000," ","int((b*x^n+a)^p/((c*x)^(3*n)),x)","\int \left(c x \right)^{-3 n} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((b*x^n+a)^p/((c*x)^(3*n)),x)","F"
2797,0,0,66,0.217000," ","int((c*x)^(-n*p-1)*(b*x^n+a)^p,x)","\int \left(c x \right)^{-n p -1} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((c*x)^(-n*p-1)*(b*x^n+a)^p,x)","F"
2798,0,0,38,0.217000," ","int((c*x)^(-n*p-n-1)*(b*x^n+a)^p,x)","\int \left(c x \right)^{-n p -n -1} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((c*x)^(-n*p-n-1)*(b*x^n+a)^p,x)","F"
2799,0,0,81,0.216000," ","int((c*x)^(-n*p-2*n-1)*(b*x^n+a)^p,x)","\int \left(c x \right)^{-n p -2 n -1} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((c*x)^(-n*p-2*n-1)*(b*x^n+a)^p,x)","F"
2800,0,0,130,0.223000," ","int((c*x)^(-n*p-3*n-1)*(b*x^n+a)^p,x)","\int \left(c x \right)^{-n p -3 n -1} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((c*x)^(-n*p-3*n-1)*(b*x^n+a)^p,x)","F"
2801,0,0,183,0.217000," ","int((c*x)^(-n*p-4*n-1)*(b*x^n+a)^p,x)","\int \left(c x \right)^{-n p -4 n -1} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((c*x)^(-n*p-4*n-1)*(b*x^n+a)^p,x)","F"
2802,1,73,26,0.007000," ","int((c*(b*x+a)^2)^(5/2),x)","\frac{\left(b^{5} x^{5}+6 a \,b^{4} x^{4}+15 a^{2} b^{3} x^{3}+20 a^{3} b^{2} x^{2}+15 a^{4} b x +6 a^{5}\right) \left(\left(b x +a \right)^{2} c \right)^{\frac{5}{2}} x}{6 \left(b x +a \right)^{5}}"," ",0,"1/6*x*(b^5*x^5+6*a*b^4*x^4+15*a^2*b^3*x^3+20*a^3*b^2*x^2+15*a^4*b*x+6*a^5)*(c*(b*x+a)^2)^(5/2)/(b*x+a)^5","B"
2803,1,51,24,0.004000," ","int(((b*x+a)^2*c)^(3/2),x)","\frac{\left(b^{3} x^{3}+4 a \,b^{2} x^{2}+6 a^{2} b x +4 a^{3}\right) \left(\left(b x +a \right)^{2} c \right)^{\frac{3}{2}} x}{4 \left(b x +a \right)^{3}}"," ",0,"1/4*x*(b^3*x^3+4*a*b^2*x^2+6*a^2*b*x+4*a^3)*((b*x+a)^2*c)^(3/2)/(b*x+a)^3","B"
2804,1,29,21,0.001000," ","int(((b*x+a)^2*c)^(1/2),x)","\frac{\left(b x +2 a \right) \sqrt{\left(b x +a \right)^{2} c}\, x}{2 b x +2 a}"," ",0,"1/2*x*(b*x+2*a)*((b*x+a)^2*c)^(1/2)/(b*x+a)","A"
2805,1,27,26,0.010000," ","int(1/((b*x+a)^2*c)^(1/2),x)","\frac{\left(b x +a \right) \ln \left(b x +a \right)}{\sqrt{\left(b x +a \right)^{2} c}\, b}"," ",0,"(b*x+a)*ln(b*x+a)/b/((b*x+a)^2*c)^(1/2)","A"
2806,1,22,26,0.003000," ","int(1/((b*x+a)^2*c)^(3/2),x)","-\frac{b x +a}{2 \left(\left(b x +a \right)^{2} c \right)^{\frac{3}{2}} b}"," ",0,"-1/2*(b*x+a)/b/((b*x+a)^2*c)^(3/2)","A"
2807,1,22,26,0.004000," ","int(1/((b*x+a)^2*c)^(5/2),x)","-\frac{b x +a}{4 \left(\left(b x +a \right)^{2} c \right)^{\frac{5}{2}} b}"," ",0,"-1/4*(b*x+a)/b/((b*x+a)^2*c)^(5/2)","A"
2808,1,25,16,0.006000," ","int(((3+5*x)^2)^(1/2),x)","\frac{\left(5 x +6\right) \sqrt{\left(5 x +3\right)^{2}}\, x}{6+10 x}"," ",0,"1/2*x*(5*x+6)*((3+5*x)^2)^(1/2)/(3+5*x)","A"
2809,1,24,16,0.002000," ","int(((6+10*x)^2)^(1/2),x)","\frac{\left(5 x +6\right) \sqrt{\left(5 x +3\right)^{2}}\, x}{5 x +3}"," ",0,"(5*x+6)*((5*x+3)^2)^(1/2)/(5*x+3)*x","A"
2810,1,23,22,0.010000," ","int(1/((5*x+3)^2)^(1/2),x)","\frac{\left(5 x +3\right) \ln \left(5 x +3\right)}{5 \sqrt{\left(5 x +3\right)^{2}}}"," ",0,"1/5*(5*x+3)*ln(5*x+3)/((5*x+3)^2)^(1/2)","A"
2811,1,26,22,0.004000," ","int(1/((6+10*x)^2)^(1/2),x)","\frac{\left(5 x +3\right) \sqrt{4}\, \ln \left(5 x +3\right)}{20 \sqrt{\left(5 x +3\right)^{2}}}"," ",0,"1/20/((5*x+3)^2)^(1/2)*(5*x+3)*4^(1/2)*ln(5*x+3)","A"
2812,1,25,24,0.008000," ","int(1/(-(2+3*x)^2)^(1/2),x)","\frac{\left(3 x +2\right) \ln \left(3 x +2\right)}{3 \sqrt{-\left(3 x +2\right)^{2}}}"," ",0,"1/3*(2+3*x)*ln(2+3*x)/(-(2+3*x)^2)^(1/2)","A"
2813,1,22,26,0.003000," ","int((c*(b*x+a)^3)^(5/2),x)","\frac{2 \left(b x +a \right) \left(\left(b x +a \right)^{3} c \right)^{\frac{5}{2}}}{17 b}"," ",0,"2/17*(b*x+a)*(c*(b*x+a)^3)^(5/2)/b","A"
2814,1,22,24,0.003000," ","int(((b*x+a)^3*c)^(3/2),x)","\frac{2 \left(b x +a \right) \left(\left(b x +a \right)^{3} c \right)^{\frac{3}{2}}}{11 b}"," ",0,"2/11*(b*x+a)*((b*x+a)^3*c)^(3/2)/b","A"
2815,1,22,21,0.002000," ","int(((b*x+a)^3*c)^(1/2),x)","\frac{2 \left(b x +a \right) \sqrt{\left(b x +a \right)^{3} c}}{5 b}"," ",0,"2/5*(b*x+a)*((b*x+a)^3*c)^(1/2)/b","A"
2816,1,22,21,0.003000," ","int(1/((b*x+a)^3*c)^(1/2),x)","-\frac{2 \left(b x +a \right)}{\sqrt{\left(b x +a \right)^{3} c}\, b}"," ",0,"-2*(b*x+a)/b/((b*x+a)^3*c)^(1/2)","A"
2817,1,22,26,0.003000," ","int(1/((b*x+a)^3*c)^(3/2),x)","-\frac{2 \left(b x +a \right)}{7 \left(\left(b x +a \right)^{3} c \right)^{\frac{3}{2}} b}"," ",0,"-2/7*(b*x+a)/b/((b*x+a)^3*c)^(3/2)","A"
2818,1,22,26,0.003000," ","int(1/((b*x+a)^3*c)^(5/2),x)","-\frac{2 \left(b x +a \right)}{13 \left(\left(b x +a \right)^{3} c \right)^{\frac{5}{2}} b}"," ",0,"-2/13*(b*x+a)/b/((b*x+a)^3*c)^(5/2)","A"
2819,1,22,26,0.004000," ","int((c/(b*x+a))^(5/2),x)","-\frac{2 \left(b x +a \right) \left(\frac{c}{b x +a}\right)^{\frac{5}{2}}}{3 b}"," ",0,"-2/3*(b*x+a)*(c/(b*x+a))^(5/2)/b","A"
2820,1,22,17,0.003000," ","int((1/(b*x+a)*c)^(3/2),x)","-\frac{2 \left(b x +a \right) \left(\frac{c}{b x +a}\right)^{\frac{3}{2}}}{b}"," ",0,"-2*(b*x+a)*(1/(b*x+a)*c)^(3/2)/b","A"
2821,1,22,21,0.004000," ","int((1/(b*x+a)*c)^(1/2),x)","\frac{2 \left(b x +a \right) \sqrt{\frac{c}{b x +a}}}{b}"," ",0,"2*(b*x+a)*(1/(b*x+a)*c)^(1/2)/b","A"
2822,1,22,21,0.003000," ","int(1/(1/(b*x+a)*c)^(1/2),x)","\frac{\frac{2 b x}{3}+\frac{2 a}{3}}{\sqrt{\frac{c}{b x +a}}\, b}"," ",0,"2/3*(b*x+a)/b/(1/(b*x+a)*c)^(1/2)","A"
2823,1,22,26,0.003000," ","int(1/(1/(b*x+a)*c)^(3/2),x)","\frac{\frac{2 b x}{5}+\frac{2 a}{5}}{\left(\frac{c}{b x +a}\right)^{\frac{3}{2}} b}"," ",0,"2/5*(b*x+a)/b/(1/(b*x+a)*c)^(3/2)","A"
2824,1,22,26,0.003000," ","int(1/(1/(b*x+a)*c)^(5/2),x)","\frac{\frac{2 b x}{7}+\frac{2 a}{7}}{\left(\frac{c}{b x +a}\right)^{\frac{5}{2}} b}"," ",0,"2/7*(b*x+a)/b/(1/(b*x+a)*c)^(5/2)","A"
2825,1,22,26,0.004000," ","int((c/(b*x+a)^2)^(5/2),x)","-\frac{\left(b x +a \right) \left(\frac{c}{\left(b x +a \right)^{2}}\right)^{\frac{5}{2}}}{4 b}"," ",0,"-1/4*(b*x+a)/b*(c/(b*x+a)^2)^(5/2)","A"
2826,1,22,24,0.003000," ","int((1/(b*x+a)^2*c)^(3/2),x)","-\frac{\left(b x +a \right) \left(\frac{c}{\left(b x +a \right)^{2}}\right)^{\frac{3}{2}}}{2 b}"," ",0,"-1/2*(b*x+a)/b*(1/(b*x+a)^2*c)^(3/2)","A"
2827,1,27,26,0.006000," ","int((1/(b*x+a)^2*c)^(1/2),x)","\frac{\left(b x +a \right) \sqrt{\frac{c}{\left(b x +a \right)^{2}}}\, \ln \left(b x +a \right)}{b}"," ",0,"(b*x+a)*ln(b*x+a)*(1/(b*x+a)^2*c)^(1/2)/b","A"
2828,1,29,21,0.003000," ","int(1/(1/(b*x+a)^2*c)^(1/2),x)","\frac{\left(b x +2 a \right) x}{2 \left(b x +a \right) \sqrt{\frac{c}{\left(b x +a \right)^{2}}}}"," ",0,"1/2*x*(b*x+2*a)/(b*x+a)/(1/(b*x+a)^2*c)^(1/2)","A"
2829,1,51,26,0.003000," ","int(1/(1/(b*x+a)^2*c)^(3/2),x)","\frac{\left(b^{3} x^{3}+4 a \,b^{2} x^{2}+6 a^{2} b x +4 a^{3}\right) x}{4 \left(b x +a \right)^{3} \left(\frac{c}{\left(b x +a \right)^{2}}\right)^{\frac{3}{2}}}"," ",0,"1/4*x*(b^3*x^3+4*a*b^2*x^2+6*a^2*b*x+4*a^3)/(b*x+a)^3/(1/(b*x+a)^2*c)^(3/2)","A"
2830,1,73,26,0.004000," ","int(1/(1/(b*x+a)^2*c)^(5/2),x)","\frac{\left(b^{5} x^{5}+6 a \,b^{4} x^{4}+15 a^{2} b^{3} x^{3}+20 a^{3} b^{2} x^{2}+15 a^{4} b x +6 a^{5}\right) x}{6 \left(b x +a \right)^{5} \left(\frac{c}{\left(b x +a \right)^{2}}\right)^{\frac{5}{2}}}"," ",0,"1/6*x*(b^5*x^5+6*a*b^4*x^4+15*a^2*b^3*x^3+20*a^3*b^2*x^2+15*a^4*b*x+6*a^5)/(b*x+a)^5/(1/(b*x+a)^2*c)^(5/2)","B"
2831,1,22,26,0.002000," ","int((c/(b*x+a)^3)^(5/2),x)","-\frac{2 \left(b x +a \right) \left(\frac{c}{\left(b x +a \right)^{3}}\right)^{\frac{5}{2}}}{13 b}"," ",0,"-2/13*(b*x+a)*(c/(b*x+a)^3)^(5/2)/b","A"
2832,1,22,24,0.003000," ","int((1/(b*x+a)^3*c)^(3/2),x)","-\frac{2 \left(b x +a \right) \left(\frac{c}{\left(b x +a \right)^{3}}\right)^{\frac{3}{2}}}{7 b}"," ",0,"-2/7*(b*x+a)*(1/(b*x+a)^3*c)^(3/2)/b","A"
2833,1,22,21,0.001000," ","int((1/(b*x+a)^3*c)^(1/2),x)","-\frac{2 \left(b x +a \right) \sqrt{\frac{c}{\left(b x +a \right)^{3}}}}{b}"," ",0,"-2*(b*x+a)*(1/(b*x+a)^3*c)^(1/2)/b","A"
2834,1,22,21,0.001000," ","int(1/(1/(b*x+a)^3*c)^(1/2),x)","\frac{\frac{2 b x}{5}+\frac{2 a}{5}}{\sqrt{\frac{c}{\left(b x +a \right)^{3}}}\, b}"," ",0,"2/5*(b*x+a)/b/(1/(b*x+a)^3*c)^(1/2)","A"
2835,1,22,26,0.003000," ","int(1/(1/(b*x+a)^3*c)^(3/2),x)","\frac{\frac{2 b x}{11}+\frac{2 a}{11}}{\left(\frac{c}{\left(b x +a \right)^{3}}\right)^{\frac{3}{2}} b}"," ",0,"2/11*(b*x+a)/b/(1/(b*x+a)^3*c)^(3/2)","A"
2836,1,22,26,0.002000," ","int(1/(1/(b*x+a)^3*c)^(5/2),x)","\frac{\frac{2 b x}{17}+\frac{2 a}{17}}{\left(\frac{c}{\left(b x +a \right)^{3}}\right)^{\frac{5}{2}} b}"," ",0,"2/17*(b*x+a)/b/(1/(b*x+a)^3*c)^(5/2)","A"
2837,1,29,21,0.002000," ","int((c*(b*x+a)^(3/2))^(2/3),x)","\frac{\left(b x +2 a \right) \left(\left(b x +a \right)^{\frac{3}{2}} c \right)^{\frac{2}{3}} x}{2 b x +2 a}"," ",0,"1/2*x*(b*x+2*a)*(c*(b*x+a)^(3/2))^(2/3)/(b*x+a)","A"
2838,1,29,24,0.003000," ","int((c*(b*x+a)^(2/3))^(3/2),x)","\frac{\left(b x +2 a \right) \left(\left(b x +a \right)^{\frac{2}{3}} c \right)^{\frac{3}{2}} x}{2 b x +2 a}"," ",0,"1/2*x*(b*x+2*a)*(c*(b*x+a)^(2/3))^(3/2)/(b*x+a)","A"
2839,1,29,21,0.002000," ","int(1/(c/(b*x+a)^(3/2))^(2/3),x)","\frac{\left(b x +2 a \right) x}{2 \left(b x +a \right) \left(\frac{c}{\left(b x +a \right)^{\frac{3}{2}}}\right)^{\frac{2}{3}}}"," ",0,"1/2*x*(b*x+2*a)/(b*x+a)/(c/(b*x+a)^(3/2))^(2/3)","A"
2840,1,29,26,0.003000," ","int(1/(c/(b*x+a)^(2/3))^(3/2),x)","\frac{\left(b x +2 a \right) x}{2 \left(b x +a \right) \left(\frac{c}{\left(b x +a \right)^{\frac{2}{3}}}\right)^{\frac{3}{2}}}"," ",0,"1/2*x*(b*x+2*a)/(b*x+a)/(c/(b*x+a)^(2/3))^(3/2)","A"
2841,1,112,27,0.000000," ","int((d*x+c)^3*(a+b*(d*x+c)^2),x)","\frac{b \,d^{5} x^{6}}{6}+b c \,d^{4} x^{5}+\left(b \,c^{2}+a \right) c^{3} x +\frac{\left(9 b \,c^{2} d^{3}+\left(b \,c^{2}+a \right) d^{3}\right) x^{4}}{4}+\frac{\left(7 b \,c^{3} d^{2}+3 \left(b \,c^{2}+a \right) c \,d^{2}\right) x^{3}}{3}+\frac{\left(2 b \,c^{4} d +3 \left(b \,c^{2}+a \right) c^{2} d \right) x^{2}}{2}"," ",0,"1/6*d^5*b*x^6+c*d^4*b*x^5+1/4*(9*c^2*d^3*b+d^3*(b*c^2+a))*x^4+1/3*(7*c^3*b*d^2+3*c*d^2*(b*c^2+a))*x^3+1/2*(2*c^4*b*d+3*c^2*d*(b*c^2+a))*x^2+c^3*(b*c^2+a)*x","B"
2842,1,324,45,0.001000," ","int((d*x+c)^3*(a+b*(d*x+c)^2)^2,x)","\frac{b^{2} d^{7} x^{8}}{8}+b^{2} c \,d^{6} x^{7}+\frac{\left(15 b^{2} c^{2} d^{5}+\left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right) d^{3}\right) x^{6}}{6}+\frac{\left(13 b^{2} c^{3} d^{4}+4 \left(b \,c^{2}+a \right) b c \,d^{4}+3 \left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right) c \,d^{2}\right) x^{5}}{5}+\left(b \,c^{2}+a \right)^{2} c^{3} x +\frac{\left(4 b^{2} c^{4} d^{3}+12 \left(b \,c^{2}+a \right) b \,c^{2} d^{3}+3 \left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right) c^{2} d +\left(b \,c^{2}+a \right)^{2} d^{3}\right) x^{4}}{4}+\frac{\left(12 \left(b \,c^{2}+a \right) b \,c^{3} d^{2}+\left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right) c^{3}+3 \left(b \,c^{2}+a \right)^{2} c \,d^{2}\right) x^{3}}{3}+\frac{\left(4 \left(b \,c^{2}+a \right) b \,c^{4} d +3 \left(b \,c^{2}+a \right)^{2} c^{2} d \right) x^{2}}{2}"," ",0,"1/8*d^7*b^2*x^8+c*d^6*b^2*x^7+1/6*(15*c^2*d^5*b^2+d^3*(2*(b*c^2+a)*b*d^2+4*b^2*c^2*d^2))*x^6+1/5*(13*c^3*b^2*d^4+3*c*d^2*(2*(b*c^2+a)*b*d^2+4*b^2*c^2*d^2)+4*d^4*(b*c^2+a)*b*c)*x^5+1/4*(4*c^4*b^2*d^3+3*c^2*d*(2*(b*c^2+a)*b*d^2+4*b^2*c^2*d^2)+12*c^2*d^3*(b*c^2+a)*b+d^3*(b*c^2+a)^2)*x^4+1/3*(c^3*(2*(b*c^2+a)*b*d^2+4*b^2*c^2*d^2)+12*c^3*d^2*(b*c^2+a)*b+3*c*d^2*(b*c^2+a)^2)*x^3+1/2*(4*c^4*(b*c^2+a)*b*d+3*c^2*d*(b*c^2+a)^2)*x^2+c^3*(b*c^2+a)^2*x","B"
2843,1,960,44,0.000000," ","int((d*x+c)^3*(a+b*(d*x+c)^2)^3,x)","\frac{b^{3} d^{9} x^{10}}{10}+b^{3} c \,d^{8} x^{9}+\frac{\left(21 b^{3} c^{2} d^{7}+\left(8 b^{3} c^{2} d^{4}+\left(b \,c^{2}+a \right) b^{2} d^{4}+\left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right) b \,d^{2}\right) d^{3}\right) x^{8}}{8}+\frac{\left(19 b^{3} c^{3} d^{6}+3 \left(8 b^{3} c^{2} d^{4}+\left(b \,c^{2}+a \right) b^{2} d^{4}+\left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right) b \,d^{2}\right) c \,d^{2}+\left(8 \left(b \,c^{2}+a \right) b^{2} c \,d^{3}+2 \left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right) b c d \right) d^{3}\right) x^{7}}{7}+\frac{\left(6 b^{3} c^{4} d^{5}+3 \left(8 b^{3} c^{2} d^{4}+\left(b \,c^{2}+a \right) b^{2} d^{4}+\left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right) b \,d^{2}\right) c^{2} d +3 \left(8 \left(b \,c^{2}+a \right) b^{2} c \,d^{3}+2 \left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right) b c d \right) c \,d^{2}+\left(8 \left(b \,c^{2}+a \right) b^{2} c^{2} d^{2}+\left(b \,c^{2}+a \right)^{2} b \,d^{2}+\left(b \,c^{2}+a \right) \left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right)\right) d^{3}\right) x^{6}}{6}+\frac{\left(6 \left(b \,c^{2}+a \right)^{2} b c \,d^{4}+\left(8 b^{3} c^{2} d^{4}+\left(b \,c^{2}+a \right) b^{2} d^{4}+\left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right) b \,d^{2}\right) c^{3}+3 \left(8 \left(b \,c^{2}+a \right) b^{2} c \,d^{3}+2 \left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right) b c d \right) c^{2} d +3 \left(8 \left(b \,c^{2}+a \right) b^{2} c^{2} d^{2}+\left(b \,c^{2}+a \right)^{2} b \,d^{2}+\left(b \,c^{2}+a \right) \left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right)\right) c \,d^{2}\right) x^{5}}{5}+\left(b \,c^{2}+a \right)^{3} c^{3} x +\frac{\left(18 \left(b \,c^{2}+a \right)^{2} b \,c^{2} d^{3}+\left(8 \left(b \,c^{2}+a \right) b^{2} c \,d^{3}+2 \left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right) b c d \right) c^{3}+3 \left(8 \left(b \,c^{2}+a \right) b^{2} c^{2} d^{2}+\left(b \,c^{2}+a \right)^{2} b \,d^{2}+\left(b \,c^{2}+a \right) \left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right)\right) c^{2} d +\left(b \,c^{2}+a \right)^{3} d^{3}\right) x^{4}}{4}+\frac{\left(18 \left(b \,c^{2}+a \right)^{2} b \,c^{3} d^{2}+\left(8 \left(b \,c^{2}+a \right) b^{2} c^{2} d^{2}+\left(b \,c^{2}+a \right)^{2} b \,d^{2}+\left(b \,c^{2}+a \right) \left(4 b^{2} c^{2} d^{2}+2 \left(b \,c^{2}+a \right) b \,d^{2}\right)\right) c^{3}+3 \left(b \,c^{2}+a \right)^{3} c \,d^{2}\right) x^{3}}{3}+\frac{\left(6 \left(b \,c^{2}+a \right)^{2} b \,c^{4} d +3 \left(b \,c^{2}+a \right)^{3} c^{2} d \right) x^{2}}{2}"," ",0,"1/10*d^9*b^3*x^10+c*d^8*b^3*x^9+1/8*(21*c^2*d^7*b^3+d^3*((b*c^2+a)*b^2*d^4+8*b^3*c^2*d^4+b*d^2*(4*b^2*c^2*d^2+2*(b*c^2+a)*b*d^2)))*x^8+1/7*(19*c^3*b^3*d^6+3*c*d^2*((b*c^2+a)*b^2*d^4+8*b^3*c^2*d^4+b*d^2*(4*b^2*c^2*d^2+2*(b*c^2+a)*b*d^2))+d^3*(8*(b*c^2+a)*b^2*c*d^3+2*b*c*d*(4*b^2*c^2*d^2+2*(b*c^2+a)*b*d^2)))*x^7+1/6*(6*c^4*b^3*d^5+3*c^2*d*((b*c^2+a)*b^2*d^4+8*b^3*c^2*d^4+b*d^2*(4*b^2*c^2*d^2+2*(b*c^2+a)*b*d^2))+3*c*d^2*(8*(b*c^2+a)*b^2*c*d^3+2*b*c*d*(4*b^2*c^2*d^2+2*(b*c^2+a)*b*d^2))+d^3*((b*c^2+a)*(4*b^2*c^2*d^2+2*(b*c^2+a)*b*d^2)+8*b^2*c^2*d^2*(b*c^2+a)+b*d^2*(b*c^2+a)^2))*x^6+1/5*(c^3*((b*c^2+a)*b^2*d^4+8*b^3*c^2*d^4+b*d^2*(4*b^2*c^2*d^2+2*(b*c^2+a)*b*d^2))+3*c^2*d*(8*(b*c^2+a)*b^2*c*d^3+2*b*c*d*(4*b^2*c^2*d^2+2*(b*c^2+a)*b*d^2))+3*c*d^2*((b*c^2+a)*(4*b^2*c^2*d^2+2*(b*c^2+a)*b*d^2)+8*b^2*c^2*d^2*(b*c^2+a)+b*d^2*(b*c^2+a)^2)+6*d^4*(b*c^2+a)^2*b*c)*x^5+1/4*(c^3*(8*(b*c^2+a)*b^2*c*d^3+2*b*c*d*(4*b^2*c^2*d^2+2*(b*c^2+a)*b*d^2))+3*c^2*d*((b*c^2+a)*(4*b^2*c^2*d^2+2*(b*c^2+a)*b*d^2)+8*b^2*c^2*d^2*(b*c^2+a)+b*d^2*(b*c^2+a)^2)+18*c^2*d^3*(b*c^2+a)^2*b+d^3*(b*c^2+a)^3)*x^4+1/3*(c^3*((b*c^2+a)*(4*b^2*c^2*d^2+2*(b*c^2+a)*b*d^2)+8*b^2*c^2*d^2*(b*c^2+a)+b*d^2*(b*c^2+a)^2)+18*c^3*d^2*(b*c^2+a)^2*b+3*c*d^2*(b*c^2+a)^3)*x^3+1/2*(6*c^4*(b*c^2+a)^2*b*d+3*c^2*d*(b*c^2+a)^3)*x^2+c^3*(b*c^2+a)^3*x","B"
2844,1,12,10,0.000000," ","int((x+2)/(1+(x+2)^2),x)","\frac{\ln \left(x^{2}+4 x +5\right)}{2}"," ",0,"1/2*ln(x^2+4*x+5)","A"
2845,1,13,11,0.000000," ","int((x+2)/(1+(x+2)^2)^2,x)","-\frac{1}{2 \left(x^{2}+4 x +5\right)}"," ",0,"-1/2/(x^2+4*x+5)","A"
2846,1,13,11,0.000000," ","int((x+2)/(1+(x+2)^2)^3,x)","-\frac{1}{4 \left(x^{2}+4 x +5\right)^{2}}"," ",0,"-1/4/(x^2+4*x+5)^2","A"
2847,1,289,89,0.016000," ","int((d*x+c)^5*(a+b*(d*x+c)^2)^p,x)","\frac{\left(b^{2} d^{4} p^{2} x^{4}+4 b^{2} c \,d^{3} p^{2} x^{3}+3 b^{2} d^{4} p \,x^{4}+6 b^{2} c^{2} d^{2} p^{2} x^{2}+12 b^{2} c \,d^{3} p \,x^{3}+2 d^{4} x^{4} b^{2}+4 b^{2} c^{3} d \,p^{2} x +18 b^{2} c^{2} d^{2} p \,x^{2}+8 c \,d^{3} x^{3} b^{2}+b^{2} c^{4} p^{2}+12 b^{2} c^{3} d p x +12 b^{2} c^{2} d^{2} x^{2}-2 a b \,d^{2} p \,x^{2}+3 b^{2} c^{4} p +8 b^{2} c^{3} d x -4 a b c d p x -2 a b \,d^{2} x^{2}+2 b^{2} c^{4}-2 a b \,c^{2} p -4 a b c d x -2 a b \,c^{2}+2 a^{2}\right) \left(b \,d^{2} x^{2}+2 b c d x +b \,c^{2}+a \right)^{p +1}}{2 \left(p^{3}+6 p^{2}+11 p +6\right) b^{3} d}"," ",0,"1/2*(b*d^2*x^2+2*b*c*d*x+b*c^2+a)^(p+1)*(b^2*d^4*p^2*x^4+4*b^2*c*d^3*p^2*x^3+3*b^2*d^4*p*x^4+6*b^2*c^2*d^2*p^2*x^2+12*b^2*c*d^3*p*x^3+2*b^2*d^4*x^4+4*b^2*c^3*d*p^2*x+18*b^2*c^2*d^2*p*x^2+8*b^2*c*d^3*x^3+b^2*c^4*p^2+12*b^2*c^3*d*p*x+12*b^2*c^2*d^2*x^2-2*a*b*d^2*p*x^2+3*b^2*c^4*p+8*b^2*c^3*d*x-4*a*b*c*d*p*x-2*a*b*d^2*x^2+2*b^2*c^4-2*a*b*c^2*p-4*a*b*c*d*x-2*a*b*c^2+2*a^2)/b^3/d/(p^3+6*p^2+11*p+6)","B"
2848,0,0,51,0.452000," ","int((d*x+c)^4*(a+b*(d*x+c)^2)^p,x)","\int \left(d x +c \right)^{4} \left(a +\left(d x +c \right)^{2} b \right)^{p}\, dx"," ",0,"int((d*x+c)^4*(a+b*(d*x+c)^2)^p,x)","F"
2849,1,91,58,0.009000," ","int((d*x+c)^3*(a+(d*x+c)^2*b)^p,x)","-\frac{\left(-b \,d^{2} p \,x^{2}-2 b c d p x -b \,d^{2} x^{2}-b \,c^{2} p -2 b c d x -b \,c^{2}+a \right) \left(b \,d^{2} x^{2}+2 b c d x +b \,c^{2}+a \right)^{p +1}}{2 \left(p^{2}+3 p +2\right) b^{2} d}"," ",0,"-1/2*(b*d^2*x^2+2*b*c*d*x+b*c^2+a)^(p+1)*(-b*d^2*p*x^2-2*b*c*d*p*x-b*d^2*x^2-b*c^2*p-2*b*c*d*x-b*c^2+a)/b^2/d/(p^2+3*p+2)","A"
2850,0,0,51,0.278000," ","int((d*x+c)^2*(a+(d*x+c)^2*b)^p,x)","\int \left(d x +c \right)^{2} \left(a +\left(d x +c \right)^{2} b \right)^{p}\, dx"," ",0,"int((d*x+c)^2*(a+(d*x+c)^2*b)^p,x)","F"
2851,1,39,28,0.003000," ","int((d*x+c)*(a+(d*x+c)^2*b)^p,x)","\frac{\left(b \,d^{2} x^{2}+2 b c d x +b \,c^{2}+a \right)^{p +1}}{2 \left(p +1\right) b d}"," ",0,"1/2*(b*d^2*x^2+2*b*c*d*x+b*c^2+a)^(p+1)/b/d/(p+1)","A"
2852,0,0,52,0.273000," ","int((a+(d*x+c)^2*b)^p/(d*x+c),x)","\int \frac{\left(a +\left(d x +c \right)^{2} b \right)^{p}}{d x +c}\, dx"," ",0,"int((a+(d*x+c)^2*b)^p/(d*x+c),x)","F"
2853,1,124,27,0.000000," ","int((d*x+c)^3*(a+b*(d*x+c)^3),x)","\frac{b \,d^{6} x^{7}}{7}+b c \,d^{5} x^{6}+3 b \,c^{2} d^{4} x^{5}+\left(b \,c^{3}+a \right) c^{3} x +\frac{\left(19 b \,c^{3} d^{3}+\left(b \,c^{3}+a \right) d^{3}\right) x^{4}}{4}+\frac{\left(12 b \,c^{4} d^{2}+3 \left(b \,c^{3}+a \right) c \,d^{2}\right) x^{3}}{3}+\frac{\left(3 b \,c^{5} d +3 \left(b \,c^{3}+a \right) c^{2} d \right) x^{2}}{2}"," ",0,"1/7*d^6*b*x^7+c*d^5*b*x^6+3*c^2*d^4*b*x^5+1/4*(19*c^3*b*d^3+d^3*(b*c^3+a))*x^4+1/3*(12*c^4*b*d^2+3*c*d^2*(b*c^3+a))*x^3+1/2*(3*c^5*b*d+3*c^2*d*(b*c^3+a))*x^2+c^3*(b*c^3+a)*x","B"
2854,1,470,45,0.002000," ","int((d*x+c)^3*(a+b*(d*x+c)^3)^2,x)","\frac{b^{2} d^{9} x^{10}}{10}+b^{2} c \,d^{8} x^{9}+\frac{9 b^{2} c^{2} d^{7} x^{8}}{2}+\frac{\left(64 b^{2} c^{3} d^{6}+\left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) d^{3}\right) x^{7}}{7}+\frac{\left(51 b^{2} c^{4} d^{5}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) c \,d^{2}+\left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) d^{3}\right) x^{6}}{6}+\frac{\left(15 b^{2} c^{5} d^{4}+6 \left(b \,c^{3}+a \right) b \,c^{2} d^{4}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) c^{2} d +3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) c \,d^{2}\right) x^{5}}{5}+\left(b \,c^{3}+a \right)^{2} c^{3} x +\frac{\left(18 \left(b \,c^{3}+a \right) b \,c^{3} d^{3}+\left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) c^{3}+3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) c^{2} d +\left(b \,c^{3}+a \right)^{2} d^{3}\right) x^{4}}{4}+\frac{\left(18 \left(b \,c^{3}+a \right) b \,c^{4} d^{2}+\left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) c^{3}+3 \left(b \,c^{3}+a \right)^{2} c \,d^{2}\right) x^{3}}{3}+\frac{\left(6 \left(b \,c^{3}+a \right) b \,c^{5} d +3 \left(b \,c^{3}+a \right)^{2} c^{2} d \right) x^{2}}{2}"," ",0,"1/10*d^9*b^2*x^10+c*d^8*b^2*x^9+9/2*c^2*d^7*b^2*x^8+1/7*(64*c^3*b^2*d^6+d^3*(2*(b*c^3+a)*b*d^3+18*b^2*c^3*d^3))*x^7+1/6*(51*c^4*b^2*d^5+3*c*d^2*(2*(b*c^3+a)*b*d^3+18*b^2*c^3*d^3)+d^3*(6*(b*c^3+a)*b*c*d^2+9*b^2*c^4*d^2))*x^6+1/5*(15*c^5*b^2*d^4+3*c^2*d*(2*(b*c^3+a)*b*d^3+18*b^2*c^3*d^3)+3*c*d^2*(6*(b*c^3+a)*b*c*d^2+9*b^2*c^4*d^2)+6*d^4*(b*c^3+a)*b*c^2)*x^5+1/4*(c^3*(2*(b*c^3+a)*b*d^3+18*b^2*c^3*d^3)+3*c^2*d*(6*(b*c^3+a)*b*c*d^2+9*b^2*c^4*d^2)+18*c^3*d^3*(b*c^3+a)*b+d^3*(b*c^3+a)^2)*x^4+1/3*(c^3*(6*(b*c^3+a)*b*c*d^2+9*b^2*c^4*d^2)+18*c^4*d^2*(b*c^3+a)*b+3*c*d^2*(b*c^3+a)^2)*x^3+1/2*(6*c^5*(b*c^3+a)*b*d+3*c^2*d*(b*c^3+a)^2)*x^2+c^3*(b*c^3+a)^2*x","B"
2855,1,1948,63,0.002000," ","int((d*x+c)^3*(a+b*(d*x+c)^3)^3,x)","\frac{b^{3} d^{12} x^{13}}{13}+b^{3} c \,d^{11} x^{12}+6 b^{3} c^{2} d^{10} x^{11}+\frac{\left(136 b^{3} c^{3} d^{9}+\left(63 b^{3} c^{3} d^{6}+\left(b \,c^{3}+a \right) b^{2} d^{6}+\left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,d^{3}\right) d^{3}\right) x^{10}}{10}+\frac{\left(117 b^{3} c^{4} d^{8}+3 \left(63 b^{3} c^{3} d^{6}+\left(b \,c^{3}+a \right) b^{2} d^{6}+\left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,d^{3}\right) c \,d^{2}+\left(45 b^{3} c^{4} d^{5}+6 \left(b \,c^{3}+a \right) b^{2} c \,d^{5}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b c \,d^{2}+\left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,d^{3}\right) d^{3}\right) x^{9}}{9}+\frac{\left(36 b^{3} c^{5} d^{7}+3 \left(63 b^{3} c^{3} d^{6}+\left(b \,c^{3}+a \right) b^{2} d^{6}+\left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,d^{3}\right) c^{2} d +3 \left(45 b^{3} c^{4} d^{5}+6 \left(b \,c^{3}+a \right) b^{2} c \,d^{5}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b c \,d^{2}+\left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,d^{3}\right) c \,d^{2}+\left(21 \left(b \,c^{3}+a \right) b^{2} c^{2} d^{4}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,c^{2} d +3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b c \,d^{2}\right) d^{3}\right) x^{8}}{8}+\frac{\left(\left(63 b^{3} c^{3} d^{6}+\left(b \,c^{3}+a \right) b^{2} d^{6}+\left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,d^{3}\right) c^{3}+3 \left(45 b^{3} c^{4} d^{5}+6 \left(b \,c^{3}+a \right) b^{2} c \,d^{5}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b c \,d^{2}+\left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,d^{3}\right) c^{2} d +3 \left(21 \left(b \,c^{3}+a \right) b^{2} c^{2} d^{4}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,c^{2} d +3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b c \,d^{2}\right) c \,d^{2}+\left(18 \left(b \,c^{3}+a \right) b^{2} c^{3} d^{3}+3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,c^{2} d +\left(b \,c^{3}+a \right)^{2} b \,d^{3}+\left(b \,c^{3}+a \right) \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right)\right) d^{3}\right) x^{7}}{7}+\frac{\left(\left(45 b^{3} c^{4} d^{5}+6 \left(b \,c^{3}+a \right) b^{2} c \,d^{5}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b c \,d^{2}+\left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,d^{3}\right) c^{3}+3 \left(21 \left(b \,c^{3}+a \right) b^{2} c^{2} d^{4}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,c^{2} d +3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b c \,d^{2}\right) c^{2} d +3 \left(18 \left(b \,c^{3}+a \right) b^{2} c^{3} d^{3}+3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,c^{2} d +\left(b \,c^{3}+a \right)^{2} b \,d^{3}+\left(b \,c^{3}+a \right) \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right)\right) c \,d^{2}+\left(18 \left(b \,c^{3}+a \right) b^{2} c^{4} d^{2}+3 \left(b \,c^{3}+a \right)^{2} b c \,d^{2}+\left(b \,c^{3}+a \right) \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right)\right) d^{3}\right) x^{6}}{6}+\frac{\left(9 \left(b \,c^{3}+a \right)^{2} b \,c^{2} d^{4}+\left(21 \left(b \,c^{3}+a \right) b^{2} c^{2} d^{4}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,c^{2} d +3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b c \,d^{2}\right) c^{3}+3 \left(18 \left(b \,c^{3}+a \right) b^{2} c^{3} d^{3}+3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,c^{2} d +\left(b \,c^{3}+a \right)^{2} b \,d^{3}+\left(b \,c^{3}+a \right) \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right)\right) c^{2} d +3 \left(18 \left(b \,c^{3}+a \right) b^{2} c^{4} d^{2}+3 \left(b \,c^{3}+a \right)^{2} b c \,d^{2}+\left(b \,c^{3}+a \right) \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right)\right) c \,d^{2}\right) x^{5}}{5}+\left(b \,c^{3}+a \right)^{3} c^{3} x +\frac{\left(27 \left(b \,c^{3}+a \right)^{2} b \,c^{3} d^{3}+\left(18 \left(b \,c^{3}+a \right) b^{2} c^{3} d^{3}+3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,c^{2} d +\left(b \,c^{3}+a \right)^{2} b \,d^{3}+\left(b \,c^{3}+a \right) \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right)\right) c^{3}+3 \left(18 \left(b \,c^{3}+a \right) b^{2} c^{4} d^{2}+3 \left(b \,c^{3}+a \right)^{2} b c \,d^{2}+\left(b \,c^{3}+a \right) \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right)\right) c^{2} d +\left(b \,c^{3}+a \right)^{3} d^{3}\right) x^{4}}{4}+\frac{\left(27 \left(b \,c^{3}+a \right)^{2} b \,c^{4} d^{2}+\left(18 \left(b \,c^{3}+a \right) b^{2} c^{4} d^{2}+3 \left(b \,c^{3}+a \right)^{2} b c \,d^{2}+\left(b \,c^{3}+a \right) \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right)\right) c^{3}+3 \left(b \,c^{3}+a \right)^{3} c \,d^{2}\right) x^{3}}{3}+\frac{\left(9 \left(b \,c^{3}+a \right)^{2} b \,c^{5} d +3 \left(b \,c^{3}+a \right)^{3} c^{2} d \right) x^{2}}{2}"," ",0,"1/13*d^12*b^3*x^13+c*d^11*b^3*x^12+6*c^2*d^10*b^3*x^11+1/10*(136*c^3*b^3*d^9+d^3*((b*c^3+a)*b^2*d^6+63*b^3*c^3*d^6+b*d^3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)))*x^10+1/9*(117*c^4*b^3*d^8+3*c*d^2*((b*c^3+a)*b^2*d^6+63*b^3*c^3*d^6+b*d^3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3))+d^3*(6*(b*c^3+a)*b^2*c*d^5+45*b^3*c^4*d^5+3*b*c*d^2*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+b*d^3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)))*x^9+1/8*(36*c^5*b^3*d^7+3*c^2*d*((b*c^3+a)*b^2*d^6+63*b^3*c^3*d^6+b*d^3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3))+3*c*d^2*(6*(b*c^3+a)*b^2*c*d^5+45*b^3*c^4*d^5+3*b*c*d^2*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+b*d^3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2))+d^3*(21*(b*c^3+a)*b^2*c^2*d^4+3*b*c^2*d*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+3*b*c*d^2*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)))*x^8+1/7*(c^3*((b*c^3+a)*b^2*d^6+63*b^3*c^3*d^6+b*d^3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3))+3*c^2*d*(6*(b*c^3+a)*b^2*c*d^5+45*b^3*c^4*d^5+3*b*c*d^2*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+b*d^3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2))+3*c*d^2*(21*(b*c^3+a)*b^2*c^2*d^4+3*b*c^2*d*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+3*b*c*d^2*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2))+d^3*((b*c^3+a)*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+3*b*c^2*d*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)+18*b^2*c^3*d^3*(b*c^3+a)+b*d^3*(b*c^3+a)^2))*x^7+1/6*(c^3*(6*(b*c^3+a)*b^2*c*d^5+45*b^3*c^4*d^5+3*b*c*d^2*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+b*d^3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2))+3*c^2*d*(21*(b*c^3+a)*b^2*c^2*d^4+3*b*c^2*d*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+3*b*c*d^2*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2))+3*c*d^2*((b*c^3+a)*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+3*b*c^2*d*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)+18*b^2*c^3*d^3*(b*c^3+a)+b*d^3*(b*c^3+a)^2)+d^3*((b*c^3+a)*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)+18*b^2*c^4*d^2*(b*c^3+a)+3*b*c*d^2*(b*c^3+a)^2))*x^6+1/5*(c^3*(21*(b*c^3+a)*b^2*c^2*d^4+3*b*c^2*d*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+3*b*c*d^2*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2))+3*c^2*d*((b*c^3+a)*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+3*b*c^2*d*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)+18*b^2*c^3*d^3*(b*c^3+a)+b*d^3*(b*c^3+a)^2)+3*c*d^2*((b*c^3+a)*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)+18*b^2*c^4*d^2*(b*c^3+a)+3*b*c*d^2*(b*c^3+a)^2)+9*d^4*(b*c^3+a)^2*b*c^2)*x^5+1/4*(c^3*((b*c^3+a)*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+3*b*c^2*d*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)+18*b^2*c^3*d^3*(b*c^3+a)+b*d^3*(b*c^3+a)^2)+3*c^2*d*((b*c^3+a)*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)+18*b^2*c^4*d^2*(b*c^3+a)+3*b*c*d^2*(b*c^3+a)^2)+27*c^3*d^3*(b*c^3+a)^2*b+d^3*(b*c^3+a)^3)*x^4+1/3*(c^3*((b*c^3+a)*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)+18*b^2*c^4*d^2*(b*c^3+a)+3*b*c*d^2*(b*c^3+a)^2)+27*c^4*d^2*(b*c^3+a)^2*b+3*c*d^2*(b*c^3+a)^3)*x^3+1/2*(9*c^5*(b*c^3+a)^2*b*d+3*c^2*d*(b*c^3+a)^3)*x^2+c^3*(b*c^3+a)^3*x","B"
2856,1,154,33,0.001000," ","int((d*e*x+c*e)^3*(a+b*(d*x+c)^3),x)","\frac{b \,d^{6} e^{3} x^{7}}{7}+b c \,d^{5} e^{3} x^{6}+3 b \,c^{2} d^{4} e^{3} x^{5}+\left(b \,c^{3}+a \right) c^{3} e^{3} x +\frac{\left(19 b \,c^{3} d^{3} e^{3}+\left(b \,c^{3}+a \right) d^{3} e^{3}\right) x^{4}}{4}+\frac{\left(12 b \,c^{4} d^{2} e^{3}+3 \left(b \,c^{3}+a \right) c \,d^{2} e^{3}\right) x^{3}}{3}+\frac{\left(3 b \,c^{5} d \,e^{3}+3 \left(b \,c^{3}+a \right) c^{2} d \,e^{3}\right) x^{2}}{2}"," ",0,"1/7*d^6*e^3*b*x^7+c*e^3*d^5*b*x^6+3*c^2*e^3*d^4*b*x^5+1/4*(19*c^3*e^3*b*d^3+d^3*e^3*(b*c^3+a))*x^4+1/3*(12*c^4*e^3*b*d^2+3*c*e^3*d^2*(b*c^3+a))*x^3+1/2*(3*c^5*e^3*b*d+3*c^2*e^3*d*(b*c^3+a))*x^2+c^3*e^3*(b*c^3+a)*x","B"
2857,1,536,54,0.000000," ","int((d*e*x+c*e)^3*(a+b*(d*x+c)^3)^2,x)","\frac{b^{2} d^{9} e^{3} x^{10}}{10}+b^{2} c \,d^{8} e^{3} x^{9}+\frac{9 b^{2} c^{2} d^{7} e^{3} x^{8}}{2}+\left(b \,c^{3}+a \right)^{2} c^{3} e^{3} x +\frac{\left(64 b^{2} c^{3} d^{6} e^{3}+\left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) d^{3} e^{3}\right) x^{7}}{7}+\frac{\left(51 b^{2} c^{4} d^{5} e^{3}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) c \,d^{2} e^{3}+\left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) d^{3} e^{3}\right) x^{6}}{6}+\frac{\left(15 b^{2} c^{5} d^{4} e^{3}+6 \left(b \,c^{3}+a \right) b \,c^{2} d^{4} e^{3}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) c^{2} d \,e^{3}+3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) c \,d^{2} e^{3}\right) x^{5}}{5}+\frac{\left(18 \left(b \,c^{3}+a \right) b \,c^{3} d^{3} e^{3}+\left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) c^{3} e^{3}+3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) c^{2} d \,e^{3}+\left(b \,c^{3}+a \right)^{2} d^{3} e^{3}\right) x^{4}}{4}+\frac{\left(18 \left(b \,c^{3}+a \right) b \,c^{4} d^{2} e^{3}+\left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) c^{3} e^{3}+3 \left(b \,c^{3}+a \right)^{2} c \,d^{2} e^{3}\right) x^{3}}{3}+\frac{\left(6 \left(b \,c^{3}+a \right) b \,c^{5} d \,e^{3}+3 \left(b \,c^{3}+a \right)^{2} c^{2} d \,e^{3}\right) x^{2}}{2}"," ",0,"1/10*d^9*e^3*b^2*x^10+c*e^3*d^8*b^2*x^9+9/2*c^2*e^3*d^7*b^2*x^8+1/7*(64*c^3*e^3*b^2*d^6+d^3*e^3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3))*x^7+1/6*(51*c^4*e^3*b^2*d^5+3*c*e^3*d^2*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+d^3*e^3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2))*x^6+1/5*(15*c^5*e^3*b^2*d^4+3*c^2*e^3*d*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+3*c*e^3*d^2*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)+6*d^4*e^3*(b*c^3+a)*b*c^2)*x^5+1/4*(c^3*e^3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)+3*c^2*e^3*d*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)+18*c^3*e^3*d^3*(b*c^3+a)*b+d^3*e^3*(b*c^3+a)^2)*x^4+1/3*(c^3*e^3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)+18*c^4*e^3*d^2*(b*c^3+a)*b+3*c*e^3*d^2*(b*c^3+a)^2)*x^3+1/2*(6*c^5*e^3*(b*c^3+a)*b*d+3*c^2*e^3*d*(b*c^3+a)^2)*x^2+c^3*e^3*(b*c^3+a)^2*x","B"
2858,1,2050,75,0.002000," ","int((d*e*x+c*e)^3*(a+b*(d*x+c)^3)^3,x)","\frac{b^{3} d^{12} e^{3} x^{13}}{13}+b^{3} c \,d^{11} e^{3} x^{12}+6 b^{3} c^{2} d^{10} e^{3} x^{11}+\frac{\left(136 b^{3} c^{3} d^{9} e^{3}+\left(63 b^{3} c^{3} d^{6}+\left(b \,c^{3}+a \right) b^{2} d^{6}+\left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,d^{3}\right) d^{3} e^{3}\right) x^{10}}{10}+\frac{\left(117 b^{3} c^{4} d^{8} e^{3}+3 \left(63 b^{3} c^{3} d^{6}+\left(b \,c^{3}+a \right) b^{2} d^{6}+\left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,d^{3}\right) c \,d^{2} e^{3}+\left(45 b^{3} c^{4} d^{5}+6 \left(b \,c^{3}+a \right) b^{2} c \,d^{5}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b c \,d^{2}+\left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,d^{3}\right) d^{3} e^{3}\right) x^{9}}{9}+\frac{\left(36 b^{3} c^{5} d^{7} e^{3}+3 \left(63 b^{3} c^{3} d^{6}+\left(b \,c^{3}+a \right) b^{2} d^{6}+\left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,d^{3}\right) c^{2} d \,e^{3}+3 \left(45 b^{3} c^{4} d^{5}+6 \left(b \,c^{3}+a \right) b^{2} c \,d^{5}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b c \,d^{2}+\left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,d^{3}\right) c \,d^{2} e^{3}+\left(21 \left(b \,c^{3}+a \right) b^{2} c^{2} d^{4}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,c^{2} d +3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b c \,d^{2}\right) d^{3} e^{3}\right) x^{8}}{8}+\left(b \,c^{3}+a \right)^{3} c^{3} e^{3} x +\frac{\left(\left(63 b^{3} c^{3} d^{6}+\left(b \,c^{3}+a \right) b^{2} d^{6}+\left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,d^{3}\right) c^{3} e^{3}+3 \left(45 b^{3} c^{4} d^{5}+6 \left(b \,c^{3}+a \right) b^{2} c \,d^{5}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b c \,d^{2}+\left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,d^{3}\right) c^{2} d \,e^{3}+3 \left(21 \left(b \,c^{3}+a \right) b^{2} c^{2} d^{4}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,c^{2} d +3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b c \,d^{2}\right) c \,d^{2} e^{3}+\left(18 \left(b \,c^{3}+a \right) b^{2} c^{3} d^{3}+3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,c^{2} d +\left(b \,c^{3}+a \right)^{2} b \,d^{3}+\left(b \,c^{3}+a \right) \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right)\right) d^{3} e^{3}\right) x^{7}}{7}+\frac{\left(\left(45 b^{3} c^{4} d^{5}+6 \left(b \,c^{3}+a \right) b^{2} c \,d^{5}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b c \,d^{2}+\left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,d^{3}\right) c^{3} e^{3}+3 \left(21 \left(b \,c^{3}+a \right) b^{2} c^{2} d^{4}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,c^{2} d +3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b c \,d^{2}\right) c^{2} d \,e^{3}+3 \left(18 \left(b \,c^{3}+a \right) b^{2} c^{3} d^{3}+3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,c^{2} d +\left(b \,c^{3}+a \right)^{2} b \,d^{3}+\left(b \,c^{3}+a \right) \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right)\right) c \,d^{2} e^{3}+\left(18 \left(b \,c^{3}+a \right) b^{2} c^{4} d^{2}+3 \left(b \,c^{3}+a \right)^{2} b c \,d^{2}+\left(b \,c^{3}+a \right) \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right)\right) d^{3} e^{3}\right) x^{6}}{6}+\frac{\left(9 \left(b \,c^{3}+a \right)^{2} b \,c^{2} d^{4} e^{3}+\left(21 \left(b \,c^{3}+a \right) b^{2} c^{2} d^{4}+3 \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right) b \,c^{2} d +3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b c \,d^{2}\right) c^{3} e^{3}+3 \left(18 \left(b \,c^{3}+a \right) b^{2} c^{3} d^{3}+3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,c^{2} d +\left(b \,c^{3}+a \right)^{2} b \,d^{3}+\left(b \,c^{3}+a \right) \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right)\right) c^{2} d \,e^{3}+3 \left(18 \left(b \,c^{3}+a \right) b^{2} c^{4} d^{2}+3 \left(b \,c^{3}+a \right)^{2} b c \,d^{2}+\left(b \,c^{3}+a \right) \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right)\right) c \,d^{2} e^{3}\right) x^{5}}{5}+\frac{\left(27 \left(b \,c^{3}+a \right)^{2} b \,c^{3} d^{3} e^{3}+\left(18 \left(b \,c^{3}+a \right) b^{2} c^{3} d^{3}+3 \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right) b \,c^{2} d +\left(b \,c^{3}+a \right)^{2} b \,d^{3}+\left(b \,c^{3}+a \right) \left(18 b^{2} c^{3} d^{3}+2 \left(b \,c^{3}+a \right) b \,d^{3}\right)\right) c^{3} e^{3}+3 \left(18 \left(b \,c^{3}+a \right) b^{2} c^{4} d^{2}+3 \left(b \,c^{3}+a \right)^{2} b c \,d^{2}+\left(b \,c^{3}+a \right) \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right)\right) c^{2} d \,e^{3}+\left(b \,c^{3}+a \right)^{3} d^{3} e^{3}\right) x^{4}}{4}+\frac{\left(27 \left(b \,c^{3}+a \right)^{2} b \,c^{4} d^{2} e^{3}+\left(18 \left(b \,c^{3}+a \right) b^{2} c^{4} d^{2}+3 \left(b \,c^{3}+a \right)^{2} b c \,d^{2}+\left(b \,c^{3}+a \right) \left(9 b^{2} c^{4} d^{2}+6 \left(b \,c^{3}+a \right) b c \,d^{2}\right)\right) c^{3} e^{3}+3 \left(b \,c^{3}+a \right)^{3} c \,d^{2} e^{3}\right) x^{3}}{3}+\frac{\left(9 \left(b \,c^{3}+a \right)^{2} b \,c^{5} d \,e^{3}+3 \left(b \,c^{3}+a \right)^{3} c^{2} d \,e^{3}\right) x^{2}}{2}"," ",0,"1/13*d^12*e^3*b^3*x^13+c*e^3*d^11*b^3*x^12+6*c^2*e^3*d^10*b^3*x^11+1/10*(136*c^3*e^3*b^3*d^9+d^3*e^3*(63*b^3*c^3*d^6+(b*c^3+a)*b^2*d^6+(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)*b*d^3))*x^10+1/9*(117*c^4*e^3*b^3*d^8+3*c*e^3*d^2*(63*b^3*c^3*d^6+(b*c^3+a)*b^2*d^6+(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)*b*d^3)+d^3*e^3*(45*b^3*c^4*d^5+6*(b*c^3+a)*b^2*c*d^5+3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)*b*c*d^2+(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)*b*d^3))*x^9+1/8*(36*c^5*e^3*b^3*d^7+3*c^2*e^3*d*(63*b^3*c^3*d^6+(b*c^3+a)*b^2*d^6+(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)*b*d^3)+3*c*e^3*d^2*(45*b^3*c^4*d^5+6*(b*c^3+a)*b^2*c*d^5+3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)*b*c*d^2+(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)*b*d^3)+d^3*e^3*(21*(b*c^3+a)*b^2*c^2*d^4+3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)*b*c^2*d+3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)*b*c*d^2))*x^8+1/7*(c^3*e^3*(63*b^3*c^3*d^6+(b*c^3+a)*b^2*d^6+(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)*b*d^3)+3*c^2*e^3*d*(45*b^3*c^4*d^5+6*(b*c^3+a)*b^2*c*d^5+3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)*b*c*d^2+(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)*b*d^3)+3*c*e^3*d^2*(21*(b*c^3+a)*b^2*c^2*d^4+3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)*b*c^2*d+3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)*b*c*d^2)+d^3*e^3*(18*(b*c^3+a)*b^2*c^3*d^3+3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)*b*c^2*d+(b*c^3+a)^2*b*d^3+(b*c^3+a)*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)))*x^7+1/6*(c^3*e^3*(45*b^3*c^4*d^5+6*(b*c^3+a)*b^2*c*d^5+3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)*b*c*d^2+(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)*b*d^3)+3*c^2*e^3*d*(21*(b*c^3+a)*b^2*c^2*d^4+3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)*b*c^2*d+3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)*b*c*d^2)+3*c*e^3*d^2*(18*(b*c^3+a)*b^2*c^3*d^3+3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)*b*c^2*d+(b*c^3+a)^2*b*d^3+(b*c^3+a)*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3))+d^3*e^3*(18*(b*c^3+a)*b^2*c^4*d^2+3*(b*c^3+a)^2*b*c*d^2+(b*c^3+a)*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)))*x^6+1/5*(c^3*e^3*(21*(b*c^3+a)*b^2*c^2*d^4+3*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3)*b*c^2*d+3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)*b*c*d^2)+3*c^2*e^3*d*(18*(b*c^3+a)*b^2*c^3*d^3+3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)*b*c^2*d+(b*c^3+a)^2*b*d^3+(b*c^3+a)*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3))+3*c*e^3*d^2*(18*(b*c^3+a)*b^2*c^4*d^2+3*(b*c^3+a)^2*b*c*d^2+(b*c^3+a)*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2))+9*d^4*e^3*(b*c^3+a)^2*b*c^2)*x^5+1/4*(c^3*e^3*(18*(b*c^3+a)*b^2*c^3*d^3+3*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2)*b*c^2*d+(b*c^3+a)^2*b*d^3+(b*c^3+a)*(18*b^2*c^3*d^3+2*(b*c^3+a)*b*d^3))+3*c^2*e^3*d*(18*(b*c^3+a)*b^2*c^4*d^2+3*(b*c^3+a)^2*b*c*d^2+(b*c^3+a)*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2))+27*c^3*e^3*d^3*(b*c^3+a)^2*b+d^3*e^3*(b*c^3+a)^3)*x^4+1/3*(c^3*e^3*(18*(b*c^3+a)*b^2*c^4*d^2+3*(b*c^3+a)^2*b*c*d^2+(b*c^3+a)*(9*b^2*c^4*d^2+6*(b*c^3+a)*b*c*d^2))+27*c^4*e^3*d^2*(b*c^3+a)^2*b+3*c*e^3*d^2*(b*c^3+a)^3)*x^3+1/2*(9*c^5*e^3*(b*c^3+a)^2*b*d+3*c^2*e^3*d*(b*c^3+a)^3)*x^2+c^3*e^3*(b*c^3+a)^3*x","B"
2859,1,93,118,0.007000," ","int((d*x+c)^4/(a+b*(d*x+c)^3),x)","\frac{d \,x^{2}}{2 b}+\frac{c x}{b}-\frac{a \left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 b^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"1/2/b*x^2*d+1/b*c*x-1/3/b^2/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))*a","C"
2860,1,78,108,0.004000," ","int((d*x+c)^3/(a+b*(d*x+c)^3),x)","\frac{x}{b}-\frac{a \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 b^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"1/b*x-1/3/b^2/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))*a","C"
2861,1,43,20,0.003000," ","int((d*x+c)^2/(a+b*(d*x+c)^3),x)","\frac{\ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{3 b d}"," ",0,"1/3/b/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","B"
2862,1,76,103,0.003000," ","int((d*x+c)/(a+b*(d*x+c)^3),x)","\frac{\left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 b d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"1/3/b/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2863,1,71,103,0.003000," ","int(1/(a+b*(d*x+c)^3),x)","\frac{\ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 b d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"1/3/b/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2864,1,57,34,0.006000," ","int(1/(d*x+c)/(a+b*(d*x+c)^3),x)","\frac{\ln \left(d x +c \right)}{a d}-\frac{\ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{3 a d}"," ",0,"ln(d*x+c)/a/d-1/3/a/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","A"
2865,1,92,118,0.005000," ","int(1/(d*x+c)^2/(a+b*(d*x+c)^3),x)","-\frac{\left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 a d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{\left(d x +c \right) a d}"," ",0,"-1/a/d/(d*x+c)-1/3/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))/a","C"
2866,1,87,118,0.003000," ","int(1/(d*x+c)^3/(a+b*(d*x+c)^3),x)","-\frac{\ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 a d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{2 \left(d x +c \right)^{2} a d}"," ",0,"-1/2/a/d/(d*x+c)^2-1/3/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))/a","C"
2867,1,75,52,0.009000," ","int(1/(d*x+c)^4/(a+b*(d*x+c)^3),x)","-\frac{b \ln \left(d x +c \right)}{a^{2} d}+\frac{b \ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{3 a^{2} d}-\frac{1}{3 \left(d x +c \right)^{3} a d}"," ",0,"-1/3/a/d/(d*x+c)^3-b*ln(d*x+c)/a^2/d+1/3/a^2*b/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","A"
2868,1,141,131,0.013000," ","int((d*x+c)^4/(a+b*(d*x+c)^3)^2,x)","\frac{2 \left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{9 b^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}+\frac{-\frac{d \,x^{2}}{3 b}-\frac{2 c x}{3 b}-\frac{c^{2}}{3 b d}}{b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a}"," ",0,"(-1/3/b*d*x^2-2/3/b*c*x-1/3*c^2/d/b)/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)+2/9/b^2/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2869,1,124,132,0.011000," ","int((d*x+c)^3/(a+b*(d*x+c)^3)^2,x)","\frac{\ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{9 b^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}+\frac{-\frac{x}{3 b}-\frac{c}{3 b d}}{b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a}"," ",0,"(-1/3/b*x-1/3*c/d/b)/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)+1/9/b^2/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2870,1,44,21,0.002000," ","int((d*x+c)^2/(a+b*(d*x+c)^3)^2,x)","-\frac{1}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) b d}"," ",0,"-1/3/b/d/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","B"
2871,1,144,131,0.011000," ","int((d*x+c)/(a+b*(d*x+c)^3)^2,x)","\frac{\left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{9 a b d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}+\frac{\frac{d \,x^{2}}{3 a}+\frac{2 c x}{3 a}+\frac{c^{2}}{3 a d}}{b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a}"," ",0,"(1/3*d/a*x^2+2/3*c/a*x+1/3*c^2/d/a)/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)+1/9/a/b/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2872,1,127,129,0.010000," ","int(1/(a+b*(d*x+c)^3)^2,x)","\frac{2 \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{9 a b d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}+\frac{\frac{x}{3 a}+\frac{c}{3 a d}}{b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a}"," ",0,"(1/3/a*x+1/3*c/d/a)/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)+2/9/a/b/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2873,1,100,55,0.018000," ","int(1/(d*x+c)/(a+b*(d*x+c)^3)^2,x)","\frac{1}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a d}+\frac{\ln \left(d x +c \right)}{a^{2} d}-\frac{\ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{3 a^{2} d}"," ",0,"ln(d*x+c)/a^2/d+1/3/a/d/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)-1/3/a^2/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","A"
2874,1,227,146,0.017000," ","int(1/(d*x+c)^2/(a+b*(d*x+c)^3)^2,x)","-\frac{b d \,x^{2}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a^{2}}-\frac{2 b c x}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a^{2}}-\frac{b \,c^{2}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a^{2} d}-\frac{4 \left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{9 a^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{\left(d x +c \right) a^{2} d}"," ",0,"-1/a^2/d/(d*x+c)-1/3/a^2*b/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)*x^2*d-2/3/a^2*b/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)*c*x-1/3/a^2*b/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)*c^2/d-4/9/a^2/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2875,1,174,146,0.015000," ","int(1/(d*x+c)^3/(a+b*(d*x+c)^3)^2,x)","-\frac{b x}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a^{2}}-\frac{b c}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a^{2} d}-\frac{5 \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{9 a^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{2 \left(d x +c \right)^{2} a^{2} d}"," ",0,"-1/2/a^2/d/(d*x+c)^2-1/3/a^2*b/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)*x-1/3/a^2*b/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)*c/d-5/9/a^2/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2876,1,119,74,0.020000," ","int(1/(d*x+c)^4/(a+b*(d*x+c)^3)^2,x)","-\frac{b}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a^{2} d}-\frac{2 b \ln \left(d x +c \right)}{a^{3} d}+\frac{2 b \ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{3 a^{3} d}-\frac{1}{3 \left(d x +c \right)^{3} a^{2} d}"," ",0,"-1/3/a^2/d/(d*x+c)^3-2*b*ln(d*x+c)/a^3/d-1/3/a^2*b/d/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)+2/3/a^3*b/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","A"
2877,1,214,162,0.020000," ","int((d*x+c)^4/(a+b*(d*x+c)^3)^3,x)","\frac{\left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{27 a \,b^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}+\frac{\frac{d^{4} x^{5}}{9 a}+\frac{5 c \,d^{3} x^{4}}{9 a}+\frac{10 c^{2} d^{2} x^{3}}{9 a}-\frac{\left(-20 b \,c^{3}+a \right) d \,x^{2}}{18 a b}-\frac{\left(-5 b \,c^{3}+a \right) c x}{9 a b}-\frac{\left(-2 b \,c^{3}+a \right) c^{2}}{18 a b d}}{\left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2}}"," ",0,"(1/9*d^4/a*x^5+5/9*c*d^3/a*x^4+10/9*c^2*d^2/a*x^3-1/18/b*d*(-20*b*c^3+a)/a*x^2-1/9/b*c*(-5*b*c^3+a)/a*x-1/18/b*c^2/d*(-2*b*c^3+a)/a)/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2+1/27/b^2/a/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2878,1,186,161,0.020000," ","int((d*x+c)^3/(a+b*(d*x+c)^3)^3,x)","\frac{\ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{27 a \,b^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}+\frac{\frac{d^{3} x^{4}}{18 a}+\frac{2 c \,d^{2} x^{3}}{9 a}+\frac{c^{2} d \,x^{2}}{3 a}-\frac{\left(-2 b \,c^{3}+a \right) x}{9 a b}-\frac{\left(-b \,c^{3}+2 a \right) c}{18 a b d}}{\left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2}}"," ",0,"(1/18*d^3/a*x^4+2/9*c*d^2/a*x^3+1/3/a*c^2*d*x^2-1/9/b*(-2*b*c^3+a)/a*x-1/18/b*c/d*(-b*c^3+2*a)/a)/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2+1/27/b^2/a/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2879,1,44,21,0.002000," ","int((d*x+c)^2/(a+b*(d*x+c)^3)^3,x)","-\frac{1}{6 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} b d}"," ",0,"-1/6/b/d/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2","B"
2880,1,214,159,0.019000," ","int((d*x+c)/(a+b*(d*x+c)^3)^3,x)","\frac{2 \left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{27 a^{2} b d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}+\frac{\frac{2 b \,d^{4} x^{5}}{9 a^{2}}+\frac{10 b c \,d^{3} x^{4}}{9 a^{2}}+\frac{20 b \,c^{2} d^{2} x^{3}}{9 a^{2}}+\frac{\left(40 b \,c^{3}+7 a \right) d \,x^{2}}{18 a^{2}}+\frac{\left(10 b \,c^{3}+7 a \right) c x}{9 a^{2}}+\frac{\left(4 b \,c^{3}+7 a \right) c^{2}}{18 a^{2} d}}{\left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2}}"," ",0,"(2/9*b*d^4/a^2*x^5+10/9*b*c*d^3/a^2*x^4+20/9*b*c^2*d^2/a^2*x^3+1/18*d*(40*b*c^3+7*a)/a^2*x^2+1/9*c*(10*b*c^3+7*a)/a^2*x+1/18*c^2/d*(4*b*c^3+7*a)/a^2)/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2+2/27/a^2/b/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2881,1,185,155,0.018000," ","int(1/(a+b*(d*x+c)^3)^3,x)","\frac{5 \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{27 a^{2} b d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}+\frac{\frac{5 b \,d^{3} x^{4}}{18 a^{2}}+\frac{10 b c \,d^{2} x^{3}}{9 a^{2}}+\frac{5 b \,c^{2} d \,x^{2}}{3 a^{2}}+\frac{2 \left(5 b \,c^{3}+2 a \right) x}{9 a^{2}}+\frac{\left(5 b \,c^{3}+8 a \right) c}{18 a^{2} d}}{\left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2}}"," ",0,"(5/18/a^2*b*d^3*x^4+10/9*b*c*d^2/a^2*x^3+5/3/a^2*b*c^2*d*x^2+2/9*(5*b*c^3+2*a)/a^2*x+1/18*c/d*(5*b*c^3+8*a)/a^2)/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2+5/27/a^2/b/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2882,1,283,76,0.027000," ","int(1/(d*x+c)/(a+b*(d*x+c)^3)^3,x)","\frac{b \,d^{2} x^{3}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2}}+\frac{b c d \,x^{2}}{\left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2}}+\frac{b \,c^{2} x}{\left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2}}+\frac{b \,c^{3}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} d}+\frac{1}{2 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a d}+\frac{\ln \left(d x +c \right)}{a^{3} d}-\frac{\ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{3 a^{3} d}"," ",0,"ln(d*x+c)/a^3/d+1/3*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*d^2*x^3+b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c*d*x^2+b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^2*x+1/3*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/d*c^3+1/2/a/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/d-1/3/a^3/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","B"
2883,1,524,174,0.026000," ","int(1/(d*x+c)^2/(a+b*(d*x+c)^3)^3,x)","-\frac{5 b^{2} d^{4} x^{5}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3}}-\frac{25 b^{2} c \,d^{3} x^{4}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3}}-\frac{50 b^{2} c^{2} d^{2} x^{3}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3}}-\frac{50 b^{2} c^{3} d \,x^{2}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3}}-\frac{25 b^{2} c^{4} x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3}}-\frac{5 b^{2} c^{5}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} d}-\frac{13 b d \,x^{2}}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2}}-\frac{13 b c x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2}}-\frac{13 b \,c^{2}}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} d}-\frac{14 \left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{27 a^{3} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{\left(d x +c \right) a^{3} d}"," ",0,"-1/a^3/d/(d*x+c)-5/9*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*d^4*x^5-25/9*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c*d^3*x^4-50/9*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^2*d^2*x^3-50/9*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*x^2*c^3*d-13/18*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*x^2*d-25/9*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*x*c^4-13/9*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c*x-5/9*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^5/d-13/18*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^2/d-14/27/a^3/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2884,1,419,174,0.027000," ","int(1/(d*x+c)^3/(a+b*(d*x+c)^3)^3,x)","-\frac{11 b^{2} d^{3} x^{4}}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3}}-\frac{22 b^{2} c \,d^{2} x^{3}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3}}-\frac{11 b^{2} c^{2} d \,x^{2}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3}}-\frac{22 b^{2} c^{3} x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3}}-\frac{11 b^{2} c^{4}}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} d}-\frac{7 b x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2}}-\frac{7 b c}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} d}-\frac{20 \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{27 a^{3} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{2 \left(d x +c \right)^{2} a^{3} d}"," ",0,"-1/2/a^3/d/(d*x+c)^2-11/18*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*d^3*x^4-22/9*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c*d^2*x^3-11/3*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^2*d*x^2-22/9*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*x*c^3-7/9*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*x-11/18*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^4/d-7/9*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c/d-20/27/a^3/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2885,1,311,95,0.031000," ","int(1/(d*x+c)^4/(a+b*(d*x+c)^3)^3,x)","-\frac{2 b^{2} d^{2} x^{3}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3}}-\frac{2 b^{2} c d \,x^{2}}{\left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3}}-\frac{2 b^{2} c^{2} x}{\left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3}}-\frac{2 b^{2} c^{3}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} d}-\frac{5 b}{6 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} d}-\frac{3 b \ln \left(d x +c \right)}{a^{4} d}+\frac{b \ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{a^{4} d}-\frac{1}{3 \left(d x +c \right)^{3} a^{3} d}"," ",0,"-1/3/a^3/d/(d*x+c)^3-3*b*ln(d*x+c)/a^4/d-2/3/a^3*b^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*d^2*x^3-2/a^3*b^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c*d*x^2-2/a^3*b^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^2*x-2/3/a^3*b^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/d*c^3-5/6/a^2*b/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/d+1/a^4*b/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","B"
2886,1,102,130,0.003000," ","int((d*e*x+c*e)^4/(a+b*(d*x+c)^3),x)","\frac{d \,e^{4} x^{2}}{2 b}+\frac{c \,e^{4} x}{b}-\frac{a \,e^{4} \left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 b^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"1/2*e^4/b*x^2*d+e^4/b*c*x-1/3*e^4/b^2/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))*a","C"
2887,1,84,120,0.003000," ","int((d*e*x+c*e)^3/(a+b*(d*x+c)^3),x)","\frac{e^{3} x}{b}-\frac{a \,e^{3} \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 b^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"e^3*x/b-1/3*e^3/b^2/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))*a","C"
2888,1,46,23,0.002000," ","int((d*e*x+c*e)^2/(a+b*(d*x+c)^3),x)","\frac{e^{2} \ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{3 b d}"," ",0,"1/3*e^2/b/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","A"
2889,1,77,106,0.001000," ","int((d*e*x+c*e)/(a+b*(d*x+c)^3),x)","\frac{e \left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 b d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"1/3*e/b/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2890,1,63,40,0.005000," ","int(1/(d*e*x+c*e)/(a+b*(d*x+c)^3),x)","\frac{\ln \left(d x +c \right)}{a d e}-\frac{\ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{3 a d e}"," ",0,"ln(d*x+c)/a/d/e-1/3/e/a/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","A"
2891,1,98,130,0.004000," ","int(1/(d*e*x+c*e)^2/(a+b*(d*x+c)^3),x)","-\frac{\left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 a d \,e^{2} \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{\left(d x +c \right) a d \,e^{2}}"," ",0,"-1/a/d/e^2/(d*x+c)-1/3/e^2/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))/a","C"
2892,1,93,130,0.006000," ","int(1/(d*e*x+c*e)^3/(a+b*(d*x+c)^3),x)","-\frac{\ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 a d \,e^{3} \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{2 \left(d x +c \right)^{2} a d \,e^{3}}"," ",0,"-1/2/a/d/e^3/(d*x+c)^2-1/3/e^3/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))/a","C"
2893,1,84,61,0.008000," ","int(1/(d*e*x+c*e)^4/(a+b*(d*x+c)^3),x)","-\frac{b \ln \left(d x +c \right)}{a^{2} d \,e^{4}}+\frac{b \ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{3 a^{2} d \,e^{4}}-\frac{1}{3 \left(d x +c \right)^{3} a d \,e^{4}}"," ",0,"-1/3/a/d/e^4/(d*x+c)^3-b*ln(d*x+c)/a^2/d/e^4+1/3/e^4/a^2*b/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","A"
2894,1,221,143,0.013000," ","int((d*e*x+c*e)^4/(a+b*(d*x+c)^3)^2,x)","-\frac{d \,e^{4} x^{2}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) b}-\frac{2 c \,e^{4} x}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) b}-\frac{c^{2} e^{4}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) b d}+\frac{2 e^{4} \left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{9 b^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"-1/3*e^4/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)/b*x^2*d-2/3*e^4/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)/b*c*x-1/3*e^4/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)/b*c^2/d+2/9*e^4/b^2/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2895,1,166,141,0.011000," ","int((d*e*x+c*e)^3/(a+b*(d*x+c)^3)^2,x)","-\frac{e^{3} x}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) b}-\frac{c \,e^{3}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) b d}+\frac{e^{3} \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{9 b^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"-1/3*e^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)/b*x-1/3*e^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)/b*c/d+1/9*e^3/b^2/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2896,1,47,24,0.001000," ","int((d*e*x+c*e)^2/(a+b*(d*x+c)^3)^2,x)","-\frac{e^{2}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) b d}"," ",0,"-1/3*e^2/b/d/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","A"
2897,1,216,135,0.011000," ","int((d*e*x+c*e)/(a+b*(d*x+c)^3)^2,x)","\frac{d e \,x^{2}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a}+\frac{2 c e x}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a}+\frac{c^{2} e}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a d}+\frac{e \left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{9 a b d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"1/3*e/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)*d/a*x^2+2/3*e/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)*c/a*x+1/3*e/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)/a*c^2/d+1/9*e/a/b/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2898,1,109,64,0.016000," ","int(1/(d*e*x+c*e)/(a+b*(d*x+c)^3)^2,x)","\frac{1}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a d e}+\frac{\ln \left(d x +c \right)}{a^{2} d e}-\frac{\ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{3 a^{2} d e}"," ",0,"ln(d*x+c)/a^2/d/e+1/3/e/a/d/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)-1/3/e/a^2/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","A"
2899,1,242,161,0.017000," ","int(1/(d*e*x+c*e)^2/(a+b*(d*x+c)^3)^2,x)","-\frac{b d \,x^{2}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a^{2} e^{2}}-\frac{2 b c x}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a^{2} e^{2}}-\frac{b \,c^{2}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a^{2} d \,e^{2}}-\frac{4 \left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{9 a^{2} d \,e^{2} \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{\left(d x +c \right) a^{2} d \,e^{2}}"," ",0,"-1/a^2/d/e^2/(d*x+c)-1/3/e^2/a^2*b/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)*x^2*d-2/3/e^2/a^2*b/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)*c*x-1/3/e^2/a^2*b/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)*c^2/d-4/9/e^2/a^2/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2900,1,186,161,0.016000," ","int(1/(d*e*x+c*e)^3/(a+b*(d*x+c)^3)^2,x)","-\frac{b x}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a^{2} e^{3}}-\frac{b c}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a^{2} d \,e^{3}}-\frac{5 \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{9 a^{2} d \,e^{3} \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{2 \left(d x +c \right)^{2} a^{2} d \,e^{3}}"," ",0,"-1/2/a^2/d/e^3/(d*x+c)^2-1/3/e^3/a^2*b/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)*x-1/3/e^3/a^2*b/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)*c/d-5/9/e^3/a^2/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2901,1,131,86,0.018000," ","int(1/(d*e*x+c*e)^4/(a+b*(d*x+c)^3)^2,x)","-\frac{b}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right) a^{2} d \,e^{4}}-\frac{2 b \ln \left(d x +c \right)}{a^{3} d \,e^{4}}+\frac{2 b \ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{3 a^{3} d \,e^{4}}-\frac{1}{3 \left(d x +c \right)^{3} a^{2} d \,e^{4}}"," ",0,"-1/3/a^2/d/e^4/(d*x+c)^3-2*b*ln(d*x+c)/a^3/d/e^4-1/3/e^4/a^2*b/d/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)+2/3/e^4/a^3*b/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","A"
2902,1,521,177,0.022000," ","int((d*e*x+c*e)^4/(a+b*(d*x+c)^3)^3,x)","\frac{d^{4} e^{4} x^{5}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a}+\frac{5 c \,d^{3} e^{4} x^{4}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a}+\frac{10 c^{2} d^{2} e^{4} x^{3}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a}+\frac{10 c^{3} d \,e^{4} x^{2}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a}+\frac{5 c^{4} e^{4} x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a}+\frac{c^{5} e^{4}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a d}-\frac{d \,e^{4} x^{2}}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} b}-\frac{c \,e^{4} x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} b}-\frac{c^{2} e^{4}}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} b d}+\frac{e^{4} \left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{27 a \,b^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"1/9*e^4/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*d^4/a*x^5+5/9*e^4/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c*d^3/a*x^4+10/9*e^4/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^2*d^2/a*x^3+10/9*e^4/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*d/a*x^2*c^3-1/18*e^4/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/b*x^2*d+5/9*e^4/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^4/a*x-1/9*e^4/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/b*c*x+1/9*e^4/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/a*c^5/d-1/18*e^4/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/b*c^2/d+1/27*e^4/b^2/a/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2903,1,414,173,0.021000," ","int((d*e*x+c*e)^3/(a+b*(d*x+c)^3)^3,x)","\frac{d^{3} e^{3} x^{4}}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a}+\frac{2 c \,d^{2} e^{3} x^{3}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a}+\frac{c^{2} d \,e^{3} x^{2}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a}+\frac{2 c^{3} e^{3} x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a}+\frac{c^{4} e^{3}}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a d}-\frac{e^{3} x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} b}-\frac{c \,e^{3}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} b d}+\frac{e^{3} \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{27 a \,b^{2} d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"1/18*e^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*d^3/a*x^4+2/9*e^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c*d^2/a*x^3+1/3*e^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/a*c^2*d*x^2+2/9*e^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/a*x*c^3-1/9*e^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/b*x+1/18*e^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/a*c^4/d-1/9*e^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/b*c/d+1/27*e^3/b^2/a/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2904,1,47,24,0.002000," ","int((d*e*x+c*e)^2/(a+b*(d*x+c)^3)^3,x)","-\frac{e^{2}}{6 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} b d}"," ",0,"-1/6*e^2/b/d/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2","A"
2905,1,507,164,0.019000," ","int((d*e*x+c*e)/(a+b*(d*x+c)^3)^3,x)","\frac{2 b \,d^{4} e \,x^{5}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2}}+\frac{10 b c \,d^{3} e \,x^{4}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2}}+\frac{20 b \,c^{2} d^{2} e \,x^{3}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2}}+\frac{20 b \,c^{3} d e \,x^{2}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2}}+\frac{10 b \,c^{4} e x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2}}+\frac{2 b \,c^{5} e}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} d}+\frac{7 d e \,x^{2}}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a}+\frac{7 c e x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a}+\frac{7 c^{2} e}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a d}+\frac{2 e \left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{27 a^{2} b d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"2/9*e/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*b*d^4/a^2*x^5+10/9*e/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*b*c*d^3/a^2*x^4+20/9*e/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*b*c^2*d^2/a^2*x^3+20/9*e/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*d/a^2*x^2*b*c^3+7/18*e/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*d/a*x^2+10/9*e/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^4/a^2*x*b+7/9*e/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c/a*x+2/9*e/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/a^2*c^5/d*b+7/18*e/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/a*c^2/d+2/27*e/a^2/b/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2906,1,304,88,0.028000," ","int(1/(d*e*x+c*e)/(a+b*(d*x+c)^3)^3,x)","\frac{b \,d^{2} x^{3}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} e}+\frac{b c d \,x^{2}}{\left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} e}+\frac{b \,c^{2} x}{\left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} e}+\frac{b \,c^{3}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} d e}+\frac{1}{2 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a d e}+\frac{\ln \left(d x +c \right)}{a^{3} d e}-\frac{\ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{3 a^{3} d e}"," ",0,"ln(d*x+c)/a^3/d/e+1/3/e*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*d^2*x^3+1/e*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c*d*x^2+1/e*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^2*x+1/3/e*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/d*c^3+1/2/e/a/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/d-1/3/e/a^3/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","B"
2907,1,557,192,0.026000," ","int(1/(d*e*x+c*e)^2/(a+b*(d*x+c)^3)^3,x)","-\frac{5 b^{2} d^{4} x^{5}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} e^{2}}-\frac{25 b^{2} c \,d^{3} x^{4}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} e^{2}}-\frac{50 b^{2} c^{2} d^{2} x^{3}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} e^{2}}-\frac{50 b^{2} c^{3} d \,x^{2}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} e^{2}}-\frac{25 b^{2} c^{4} x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} e^{2}}-\frac{5 b^{2} c^{5}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} d \,e^{2}}-\frac{13 b d \,x^{2}}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} e^{2}}-\frac{13 b c x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} e^{2}}-\frac{13 b \,c^{2}}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} d \,e^{2}}-\frac{14 \left(\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) d +c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{27 a^{3} d \,e^{2} \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{\left(d x +c \right) a^{3} d \,e^{2}}"," ",0,"-1/a^3/d/e^2/(d*x+c)-5/9/e^2*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*d^4*x^5-25/9/e^2*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c*d^3*x^4-50/9/e^2*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^2*d^2*x^3-50/9/e^2*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*x^2*c^3*d-13/18/e^2*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*x^2*d-25/9/e^2*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*x*c^4-13/9/e^2*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c*x-5/9/e^2*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^5/d-13/18/e^2*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^2/d-14/27/e^2/a^3/d*sum((_R*d+c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2908,1,446,192,0.025000," ","int(1/(d*e*x+c*e)^3/(a+b*(d*x+c)^3)^3,x)","-\frac{11 b^{2} d^{3} x^{4}}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} e^{3}}-\frac{22 b^{2} c \,d^{2} x^{3}}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} e^{3}}-\frac{11 b^{2} c^{2} d \,x^{2}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} e^{3}}-\frac{22 b^{2} c^{3} x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} e^{3}}-\frac{11 b^{2} c^{4}}{18 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} d \,e^{3}}-\frac{7 b x}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} e^{3}}-\frac{7 b c}{9 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} d \,e^{3}}-\frac{20 \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{27 a^{3} d \,e^{3} \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{2 \left(d x +c \right)^{2} a^{3} d \,e^{3}}"," ",0,"-1/2/a^3/d/e^3/(d*x+c)^2-11/18/e^3*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*d^3*x^4-22/9/e^3*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c*d^2*x^3-11/3/e^3*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^2*d*x^2-22/9/e^3*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*x*c^3-7/9/e^3*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*x-11/18/e^3*b^2/a^3/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^4/d-7/9/e^3*b/a^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c/d-20/27/e^3/a^3/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
2909,1,335,110,0.030000," ","int(1/(d*e*x+c*e)^4/(a+b*(d*x+c)^3)^3,x)","-\frac{2 b^{2} d^{2} x^{3}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} e^{4}}-\frac{2 b^{2} c d \,x^{2}}{\left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} e^{4}}-\frac{2 b^{2} c^{2} x}{\left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} e^{4}}-\frac{2 b^{2} c^{3}}{3 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{3} d \,e^{4}}-\frac{5 b}{6 \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)^{2} a^{2} d \,e^{4}}-\frac{3 b \ln \left(d x +c \right)}{a^{4} d \,e^{4}}+\frac{b \ln \left(b \,d^{3} x^{3}+3 b c \,d^{2} x^{2}+3 b \,c^{2} d x +b \,c^{3}+a \right)}{a^{4} d \,e^{4}}-\frac{1}{3 \left(d x +c \right)^{3} a^{3} d \,e^{4}}"," ",0,"-1/3/a^3/d/e^4/(d*x+c)^3-3*b*ln(d*x+c)/a^4/d/e^4-2/3/e^4/a^3*b^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*d^2*x^3-2/e^4/a^3*b^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c*d*x^2-2/e^4/a^3*b^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2*c^2*x-2/3/e^4/a^3*b^2/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/d*c^3-5/6/e^4/a^2*b/(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)^2/d+1/e^4/a^4*b/d*ln(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)","B"
2910,1,63,28,0.007000," ","int((d*x+c)^3*(a+b*(d*x+c)^4)^p,x)","\frac{\left(b \,d^{4} x^{4}+4 b c \,d^{3} x^{3}+6 b \,c^{2} d^{2} x^{2}+4 b \,c^{3} d x +b \,c^{4}+a \right)^{p +1}}{4 \left(p +1\right) b d}"," ",0,"1/4*(b*d^4*x^4+4*b*c*d^3*x^3+6*b*c^2*d^2*x^2+4*b*c^3*d*x+b*c^4+a)^(p+1)/b/d/(p+1)","B"
2911,1,136,21,0.000000," ","int((d*x+c)^3*(a+b*(d*x+c)^4),x)","\frac{b \,d^{7} x^{8}}{8}+b c \,d^{6} x^{7}+\frac{7 b \,c^{2} d^{5} x^{6}}{2}+7 b \,c^{3} d^{4} x^{5}+\left(b \,c^{4}+a \right) c^{3} x +\frac{\left(34 b \,c^{4} d^{3}+\left(b \,c^{4}+a \right) d^{3}\right) x^{4}}{4}+\frac{\left(18 b \,c^{5} d^{2}+3 \left(b \,c^{4}+a \right) c \,d^{2}\right) x^{3}}{3}+\frac{\left(4 b \,c^{6} d +3 \left(b \,c^{4}+a \right) c^{2} d \right) x^{2}}{2}"," ",0,"1/8*d^7*b*x^8+c*d^6*b*x^7+7/2*c^2*d^5*b*x^6+7*c^3*d^4*b*x^5+1/4*(34*c^4*b*d^3+d^3*(b*c^4+a))*x^4+1/3*(18*c^5*d^2*b+3*c*d^2*(b*c^4+a))*x^3+1/2*(4*c^6*d*b+3*c^2*d*(b*c^4+a))*x^2+c^3*(b*c^4+a)*x","B"
2912,1,622,21,0.001000," ","int((d*x+c)^3*(a+b*(d*x+c)^4)^2,x)","\frac{b^{2} d^{11} x^{12}}{12}+b^{2} c \,d^{10} x^{11}+\frac{11 b^{2} c^{2} d^{9} x^{10}}{2}+\frac{55 b^{2} c^{3} d^{8} x^{9}}{3}+\frac{\left(260 b^{2} c^{4} d^{7}+\left(68 b^{2} c^{4} d^{4}+2 \left(b \,c^{4}+a \right) b \,d^{4}\right) d^{3}\right) x^{8}}{8}+\frac{\left(196 b^{2} c^{5} d^{6}+3 \left(68 b^{2} c^{4} d^{4}+2 \left(b \,c^{4}+a \right) b \,d^{4}\right) c \,d^{2}+\left(48 b^{2} c^{5} d^{3}+8 \left(b \,c^{4}+a \right) b c \,d^{3}\right) d^{3}\right) x^{7}}{7}+\frac{\left(56 b^{2} c^{6} d^{5}+3 \left(68 b^{2} c^{4} d^{4}+2 \left(b \,c^{4}+a \right) b \,d^{4}\right) c^{2} d +3 \left(48 b^{2} c^{5} d^{3}+8 \left(b \,c^{4}+a \right) b c \,d^{3}\right) c \,d^{2}+\left(16 b^{2} c^{6} d^{2}+12 \left(b \,c^{4}+a \right) b \,c^{2} d^{2}\right) d^{3}\right) x^{6}}{6}+\frac{\left(8 \left(b \,c^{4}+a \right) b \,c^{3} d^{4}+\left(68 b^{2} c^{4} d^{4}+2 \left(b \,c^{4}+a \right) b \,d^{4}\right) c^{3}+3 \left(48 b^{2} c^{5} d^{3}+8 \left(b \,c^{4}+a \right) b c \,d^{3}\right) c^{2} d +3 \left(16 b^{2} c^{6} d^{2}+12 \left(b \,c^{4}+a \right) b \,c^{2} d^{2}\right) c \,d^{2}\right) x^{5}}{5}+\left(b \,c^{4}+a \right)^{2} c^{3} x +\frac{\left(24 \left(b \,c^{4}+a \right) b \,c^{4} d^{3}+\left(48 b^{2} c^{5} d^{3}+8 \left(b \,c^{4}+a \right) b c \,d^{3}\right) c^{3}+3 \left(16 b^{2} c^{6} d^{2}+12 \left(b \,c^{4}+a \right) b \,c^{2} d^{2}\right) c^{2} d +\left(b \,c^{4}+a \right)^{2} d^{3}\right) x^{4}}{4}+\frac{\left(24 \left(b \,c^{4}+a \right) b \,c^{5} d^{2}+\left(16 b^{2} c^{6} d^{2}+12 \left(b \,c^{4}+a \right) b \,c^{2} d^{2}\right) c^{3}+3 \left(b \,c^{4}+a \right)^{2} c \,d^{2}\right) x^{3}}{3}+\frac{\left(8 \left(b \,c^{4}+a \right) b \,c^{6} d +3 \left(b \,c^{4}+a \right)^{2} c^{2} d \right) x^{2}}{2}"," ",0,"1/12*d^11*b^2*x^12+c*d^10*b^2*x^11+11/2*c^2*d^9*b^2*x^10+55/3*c^3*b^2*d^8*x^9+1/8*(260*c^4*b^2*d^7+d^3*(2*(b*c^4+a)*b*d^4+68*b^2*d^4*c^4))*x^8+1/7*(196*c^5*d^6*b^2+3*c*d^2*(2*(b*c^4+a)*b*d^4+68*b^2*d^4*c^4)+d^3*(8*(b*c^4+a)*b*c*d^3+48*c^5*d^3*b^2))*x^7+1/6*(56*c^6*d^5*b^2+3*c^2*d*(2*(b*c^4+a)*b*d^4+68*b^2*d^4*c^4)+3*c*d^2*(8*(b*c^4+a)*b*c*d^3+48*c^5*d^3*b^2)+d^3*(12*(b*c^4+a)*c^2*d^2*b+16*c^6*d^2*b^2))*x^6+1/5*(c^3*(2*(b*c^4+a)*b*d^4+68*b^2*d^4*c^4)+3*c^2*d*(8*(b*c^4+a)*b*c*d^3+48*c^5*d^3*b^2)+3*c*d^2*(12*(b*c^4+a)*c^2*d^2*b+16*c^6*d^2*b^2)+8*d^4*(b*c^4+a)*c^3*b)*x^5+1/4*(c^3*(8*(b*c^4+a)*b*c*d^3+48*c^5*d^3*b^2)+3*c^2*d*(12*(b*c^4+a)*c^2*d^2*b+16*c^6*d^2*b^2)+24*c^4*d^3*(b*c^4+a)*b+d^3*(b*c^4+a)^2)*x^4+1/3*(c^3*(12*(b*c^4+a)*c^2*d^2*b+16*c^6*d^2*b^2)+24*c^5*d^2*(b*c^4+a)*b+3*c*d^2*(b*c^4+a)^2)*x^3+1/2*(8*c^6*(b*c^4+a)*d*b+3*c^2*d*(b*c^4+a)^2)*x^2+c^3*(b*c^4+a)^2*x","B"
2913,1,3262,21,0.002000," ","int((d*x+c)^3*(a+b*(d*x+c)^4)^3,x)","\text{output too large to display}"," ",0,"1/16*d^15*b^3*x^16+c*d^14*b^3*x^15+15/2*c^2*d^13*b^3*x^14+35*c^3*b^3*d^12*x^13+1/12*(870*c^4*b^3*d^11+d^3*((b*c^4+a)*b^2*d^8+424*b^3*c^4*d^8+b*d^4*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)))*x^12+1/11*(726*c^5*d^10*b^3+3*c*d^2*((b*c^4+a)*b^2*d^8+424*b^3*c^4*d^8+b*d^4*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4))+d^3*(8*(b*c^4+a)*b^2*c*d^7+448*b^3*c^5*d^7+4*b*c*d^3*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+b*d^4*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)))*x^11+1/10*(220*c^6*b^3*d^9+3*c^2*d*((b*c^4+a)*b^2*d^8+424*b^3*c^4*d^8+b*d^4*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4))+3*c*d^2*(8*(b*c^4+a)*b^2*c*d^7+448*b^3*c^5*d^7+4*b*c*d^3*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+b*d^4*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3))+d^3*(28*(b*c^4+a)*c^2*d^6*b^2+224*c^6*d^6*b^3+6*c^2*d^2*b*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+4*b*c*d^3*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+b*d^4*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)))*x^10+1/9*(c^3*((b*c^4+a)*b^2*d^8+424*b^3*c^4*d^8+b*d^4*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4))+3*c^2*d*(8*(b*c^4+a)*b^2*c*d^7+448*b^3*c^5*d^7+4*b*c*d^3*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+b*d^4*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3))+3*c*d^2*(28*(b*c^4+a)*c^2*d^6*b^2+224*c^6*d^6*b^3+6*c^2*d^2*b*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+4*b*c*d^3*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+b*d^4*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2))+d^3*(64*(b*c^4+a)*c^3*d^5*b^2+4*c^3*d*b*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+6*c^2*d^2*b*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+4*b*c*d^3*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)))*x^9+1/8*(c^3*(8*(b*c^4+a)*b^2*c*d^7+448*b^3*c^5*d^7+4*b*c*d^3*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+b*d^4*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3))+3*c^2*d*(28*(b*c^4+a)*c^2*d^6*b^2+224*c^6*d^6*b^3+6*c^2*d^2*b*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+4*b*c*d^3*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+b*d^4*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2))+3*c*d^2*(64*(b*c^4+a)*c^3*d^5*b^2+4*c^3*d*b*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+6*c^2*d^2*b*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+4*b*c*d^3*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2))+d^3*((b*c^4+a)*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+4*c^3*d*b*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+6*c^2*d^2*b*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)+32*b^2*c^4*d^4*(b*c^4+a)+b*d^4*(b*c^4+a)^2))*x^8+1/7*(c^3*(28*(b*c^4+a)*c^2*d^6*b^2+224*c^6*d^6*b^3+6*c^2*d^2*b*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+4*b*c*d^3*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+b*d^4*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2))+3*c^2*d*(64*(b*c^4+a)*c^3*d^5*b^2+4*c^3*d*b*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+6*c^2*d^2*b*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+4*b*c*d^3*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2))+3*c*d^2*((b*c^4+a)*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+4*c^3*d*b*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+6*c^2*d^2*b*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)+32*b^2*c^4*d^4*(b*c^4+a)+b*d^4*(b*c^4+a)^2)+d^3*((b*c^4+a)*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+4*c^3*d*b*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)+48*c^5*d^3*b^2*(b*c^4+a)+4*b*c*d^3*(b*c^4+a)^2))*x^7+1/6*(c^3*(64*(b*c^4+a)*c^3*d^5*b^2+4*c^3*d*b*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+6*c^2*d^2*b*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+4*b*c*d^3*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2))+3*c^2*d*((b*c^4+a)*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+4*c^3*d*b*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+6*c^2*d^2*b*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)+32*b^2*c^4*d^4*(b*c^4+a)+b*d^4*(b*c^4+a)^2)+3*c*d^2*((b*c^4+a)*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+4*c^3*d*b*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)+48*c^5*d^3*b^2*(b*c^4+a)+4*b*c*d^3*(b*c^4+a)^2)+d^3*((b*c^4+a)*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)+32*c^6*d^2*b^2*(b*c^4+a)+6*c^2*d^2*b*(b*c^4+a)^2))*x^6+1/5*(c^3*((b*c^4+a)*(68*b^2*c^4*d^4+2*(b*c^4+a)*b*d^4)+4*c^3*d*b*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+6*c^2*d^2*b*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)+32*b^2*c^4*d^4*(b*c^4+a)+b*d^4*(b*c^4+a)^2)+3*c^2*d*((b*c^4+a)*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+4*c^3*d*b*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)+48*c^5*d^3*b^2*(b*c^4+a)+4*b*c*d^3*(b*c^4+a)^2)+3*c*d^2*((b*c^4+a)*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)+32*c^6*d^2*b^2*(b*c^4+a)+6*c^2*d^2*b*(b*c^4+a)^2)+12*d^4*(b*c^4+a)^2*c^3*b)*x^5+1/4*(c^3*((b*c^4+a)*(48*b^2*c^5*d^3+8*(b*c^4+a)*b*c*d^3)+4*c^3*d*b*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)+48*c^5*d^3*b^2*(b*c^4+a)+4*b*c*d^3*(b*c^4+a)^2)+3*c^2*d*((b*c^4+a)*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)+32*c^6*d^2*b^2*(b*c^4+a)+6*c^2*d^2*b*(b*c^4+a)^2)+36*c^4*d^3*(b*c^4+a)^2*b+d^3*(b*c^4+a)^3)*x^4+1/3*(c^3*((b*c^4+a)*(16*b^2*c^6*d^2+12*(b*c^4+a)*b*c^2*d^2)+32*c^6*d^2*b^2*(b*c^4+a)+6*c^2*d^2*b*(b*c^4+a)^2)+36*c^5*d^2*(b*c^4+a)^2*b+3*c*d^2*(b*c^4+a)^3)*x^3+1/2*(12*c^6*(b*c^4+a)^2*d*b+3*c^2*d*(b*c^4+a)^3)*x^2+c^3*(b*c^4+a)^3*x","B"
2914,1,55,20,0.002000," ","int((d*x+c)^3/(a+b*(d*x+c)^4),x)","\frac{\ln \left(b \,d^{4} x^{4}+4 b c \,d^{3} x^{3}+6 b \,c^{2} d^{2} x^{2}+4 b \,c^{3} d x +b \,c^{4}+a \right)}{4 b d}"," ",0,"1/4/b/d*ln(b*d^4*x^4+4*b*c*d^3*x^3+6*b*c^2*d^2*x^2+4*b*c^3*d*x+b*c^4+a)","B"
2915,1,56,21,0.000000," ","int((d*x+c)^3/(a+b*(d*x+c)^4)^2,x)","-\frac{1}{4 \left(b \,d^{4} x^{4}+4 b c \,d^{3} x^{3}+6 b \,c^{2} d^{2} x^{2}+4 b \,c^{3} d x +b \,c^{4}+a \right) b d}"," ",0,"-1/4/b/d/(b*d^4*x^4+4*b*c*d^3*x^3+6*b*c^2*d^2*x^2+4*b*c^3*d*x+b*c^4+a)","B"
2916,1,56,21,0.001000," ","int((d*x+c)^3/(a+b*(d*x+c)^4)^3,x)","-\frac{1}{8 \left(b \,d^{4} x^{4}+4 b c \,d^{3} x^{3}+6 b \,c^{2} d^{2} x^{2}+4 b \,c^{3} d x +b \,c^{4}+a \right)^{2} b d}"," ",0,"-1/8/b/d/(b*d^4*x^4+4*b*c*d^3*x^3+6*b*c^2*d^2*x^2+4*b*c^3*d*x+b*c^4+a)^2","B"
2917,1,1036,130,0.440000," ","int(1/(a+b*(d*x+c)^4)^(1/2),x)","\frac{2 \left(\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \sqrt{\frac{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}}\, \left(x -\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)^{2} \sqrt{\frac{\left(\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c -\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}{\left(\frac{-c -\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}}\, \sqrt{\frac{\left(\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}}\, \EllipticF \left(\sqrt{\frac{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}}, \sqrt{\frac{\left(\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}{\left(\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}}\right)}{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \sqrt{\left(x -\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c -\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) b \,d^{4}}}"," ",0,"2*((1/b*(-b^3*a)^(1/4)-c)/d-(-I/b*(-b^3*a)^(1/4)-c)/d)*(((-I/b*(-b^3*a)^(1/4)-c)/d-(I/b*(-b^3*a)^(1/4)-c)/d)*(x-(1/b*(-b^3*a)^(1/4)-c)/d)/((-I/b*(-b^3*a)^(1/4)-c)/d-(1/b*(-b^3*a)^(1/4)-c)/d)/(x-(I/b*(-b^3*a)^(1/4)-c)/d))^(1/2)*(x-(I/b*(-b^3*a)^(1/4)-c)/d)^2*(((I/b*(-b^3*a)^(1/4)-c)/d-(1/b*(-b^3*a)^(1/4)-c)/d)*(x-(-1/b*(-b^3*a)^(1/4)-c)/d)/((-1/b*(-b^3*a)^(1/4)-c)/d-(1/b*(-b^3*a)^(1/4)-c)/d)/(x-(I/b*(-b^3*a)^(1/4)-c)/d))^(1/2)*(((I/b*(-b^3*a)^(1/4)-c)/d-(1/b*(-b^3*a)^(1/4)-c)/d)*(x-(-I/b*(-b^3*a)^(1/4)-c)/d)/((-I/b*(-b^3*a)^(1/4)-c)/d-(1/b*(-b^3*a)^(1/4)-c)/d)/(x-(I/b*(-b^3*a)^(1/4)-c)/d))^(1/2)/((-I/b*(-b^3*a)^(1/4)-c)/d-(I/b*(-b^3*a)^(1/4)-c)/d)/((I/b*(-b^3*a)^(1/4)-c)/d-(1/b*(-b^3*a)^(1/4)-c)/d)/(b*d^4*(x-(1/b*(-b^3*a)^(1/4)-c)/d)*(x-(I/b*(-b^3*a)^(1/4)-c)/d)*(x-(-1/b*(-b^3*a)^(1/4)-c)/d)*(x-(-I/b*(-b^3*a)^(1/4)-c)/d))^(1/2)*EllipticF((((-I/b*(-b^3*a)^(1/4)-c)/d-(I/b*(-b^3*a)^(1/4)-c)/d)*(x-(1/b*(-b^3*a)^(1/4)-c)/d)/((-I/b*(-b^3*a)^(1/4)-c)/d-(1/b*(-b^3*a)^(1/4)-c)/d)/(x-(I/b*(-b^3*a)^(1/4)-c)/d))^(1/2),(((I/b*(-b^3*a)^(1/4)-c)/d-(-1/b*(-b^3*a)^(1/4)-c)/d)*((1/b*(-b^3*a)^(1/4)-c)/d-(-I/b*(-b^3*a)^(1/4)-c)/d)/((1/b*(-b^3*a)^(1/4)-c)/d-(-1/b*(-b^3*a)^(1/4)-c)/d)/((I/b*(-b^3*a)^(1/4)-c)/d-(-I/b*(-b^3*a)^(1/4)-c)/d))^(1/2))","C"
2918,1,1528,165,0.028000," ","int(x/(a+b*(d*x+c)^4)^(1/2),x)","\frac{2 \left(\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \sqrt{\frac{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}}\, \left(x -\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)^{2} \sqrt{\frac{\left(\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c -\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}{\left(\frac{-c -\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}}\, \sqrt{\frac{\left(\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}}\, \left(\left(\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \EllipticPi \left(\sqrt{\frac{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}}, \frac{\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}}{\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}}, \sqrt{\frac{\left(\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}{\left(\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}}\right)+\frac{\left(-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}\right) \EllipticF \left(\sqrt{\frac{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}}, \sqrt{\frac{\left(\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}{\left(\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right)}}\right)}{d}\right)}{\left(\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}-\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \sqrt{\left(x -\frac{-c +\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c +\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c -\frac{\left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) \left(x -\frac{-c -\frac{i \left(-a \,b^{3}\right)^{\frac{1}{4}}}{b}}{d}\right) b \,d^{4}}}"," ",0,"2*((-c+(-a*b^3)^(1/4)/b)/d-(-c-I*(-a*b^3)^(1/4)/b)/d)*(((-c-I*(-a*b^3)^(1/4)/b)/d-(-c+I*(-a*b^3)^(1/4)/b)/d)*(x-(-c+(-a*b^3)^(1/4)/b)/d)/((-c-I*(-a*b^3)^(1/4)/b)/d-(-c+(-a*b^3)^(1/4)/b)/d)/(x-(-c+I*(-a*b^3)^(1/4)/b)/d))^(1/2)*(x-(-c+I*(-a*b^3)^(1/4)/b)/d)^2*(((-c+I*(-a*b^3)^(1/4)/b)/d-(-c+(-a*b^3)^(1/4)/b)/d)*(x-(-c-(-a*b^3)^(1/4)/b)/d)/((-c-(-a*b^3)^(1/4)/b)/d-(-c+(-a*b^3)^(1/4)/b)/d)/(x-(-c+I*(-a*b^3)^(1/4)/b)/d))^(1/2)*(((-c+I*(-a*b^3)^(1/4)/b)/d-(-c+(-a*b^3)^(1/4)/b)/d)*(x-(-c-I*(-a*b^3)^(1/4)/b)/d)/((-c-I*(-a*b^3)^(1/4)/b)/d-(-c+(-a*b^3)^(1/4)/b)/d)/(x-(-c+I*(-a*b^3)^(1/4)/b)/d))^(1/2)/((-c-I*(-a*b^3)^(1/4)/b)/d-(-c+I*(-a*b^3)^(1/4)/b)/d)/((-c+I*(-a*b^3)^(1/4)/b)/d-(-c+(-a*b^3)^(1/4)/b)/d)/((x-(-c+(-a*b^3)^(1/4)/b)/d)*(x-(-c+I*(-a*b^3)^(1/4)/b)/d)*(x-(-c-(-a*b^3)^(1/4)/b)/d)*(x-(-c-I*(-a*b^3)^(1/4)/b)/d)*b*d^4)^(1/2)*((-c+I*(-a*b^3)^(1/4)/b)/d*EllipticF((((-c-I*(-a*b^3)^(1/4)/b)/d-(-c+I*(-a*b^3)^(1/4)/b)/d)*(x-(-c+(-a*b^3)^(1/4)/b)/d)/((-c-I*(-a*b^3)^(1/4)/b)/d-(-c+(-a*b^3)^(1/4)/b)/d)/(x-(-c+I*(-a*b^3)^(1/4)/b)/d))^(1/2),(((-c+I*(-a*b^3)^(1/4)/b)/d-(-c-(-a*b^3)^(1/4)/b)/d)*((-c+(-a*b^3)^(1/4)/b)/d-(-c-I*(-a*b^3)^(1/4)/b)/d)/((-c+(-a*b^3)^(1/4)/b)/d-(-c-(-a*b^3)^(1/4)/b)/d)/((-c+I*(-a*b^3)^(1/4)/b)/d-(-c-I*(-a*b^3)^(1/4)/b)/d))^(1/2))+((-c+(-a*b^3)^(1/4)/b)/d-(-c+I*(-a*b^3)^(1/4)/b)/d)*EllipticPi((((-c-I*(-a*b^3)^(1/4)/b)/d-(-c+I*(-a*b^3)^(1/4)/b)/d)*(x-(-c+(-a*b^3)^(1/4)/b)/d)/((-c-I*(-a*b^3)^(1/4)/b)/d-(-c+(-a*b^3)^(1/4)/b)/d)/(x-(-c+I*(-a*b^3)^(1/4)/b)/d))^(1/2),((-c-I*(-a*b^3)^(1/4)/b)/d-(-c+(-a*b^3)^(1/4)/b)/d)/((-c-I*(-a*b^3)^(1/4)/b)/d-(-c+I*(-a*b^3)^(1/4)/b)/d),(((-c+I*(-a*b^3)^(1/4)/b)/d-(-c-(-a*b^3)^(1/4)/b)/d)*((-c+(-a*b^3)^(1/4)/b)/d-(-c-I*(-a*b^3)^(1/4)/b)/d)/((-c+(-a*b^3)^(1/4)/b)/d-(-c-(-a*b^3)^(1/4)/b)/d)/((-c+I*(-a*b^3)^(1/4)/b)/d-(-c-I*(-a*b^3)^(1/4)/b)/d))^(1/2)))","C"
2919,0,0,62,0.255000," ","int((d*x)^m*(a+b*(c*x)^(3/2))^(1/2),x)","\int \sqrt{a +\left(c x \right)^{\frac{3}{2}} b}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+b*(c*x)^(3/2))^(1/2),x)","F"
2920,0,0,64,0.249000," ","int((d*x)^m*(a+b*(c*x)^(1/2))^(1/2),x)","\int \sqrt{a +\sqrt{c x}\, b}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+b*(c*x)^(1/2))^(1/2),x)","F"
2921,0,0,64,0.238000," ","int((d*x)^m*(a+b/(c*x)^(1/2))^(1/2),x)","\int \sqrt{a +\frac{b}{\sqrt{c x}}}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+b/(c*x)^(1/2))^(1/2),x)","F"
2922,0,0,62,0.240000," ","int((d*x)^m*(a+b/(c*x)^(3/2))^(1/2),x)","\int \sqrt{a +\frac{b}{\left(c x \right)^{\frac{3}{2}}}}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+b/(c*x)^(3/2))^(1/2),x)","F"
2923,0,0,75,0.355000," ","int((d*x)^m*(a+b*(c*x)^n)^p,x)","\int \left(d x \right)^{m} \left(b \left(c x \right)^{n}+a \right)^{p}\, dx"," ",0,"int((d*x)^m*(a+b*(c*x)^n)^p,x)","F"
2924,0,0,61,0.237000," ","int(x^2*(b*(c*x)^n+a)^p,x)","\int x^{2} \left(b \left(c x \right)^{n}+a \right)^{p}\, dx"," ",0,"int(x^2*(b*(c*x)^n+a)^p,x)","F"
2925,0,0,61,0.237000," ","int(x*(b*(c*x)^n+a)^p,x)","\int x \left(b \left(c x \right)^{n}+a \right)^{p}\, dx"," ",0,"int(x*(b*(c*x)^n+a)^p,x)","F"
2926,0,0,54,0.255000," ","int((b*(c*x)^n+a)^p,x)","\int \left(b \left(c x \right)^{n}+a \right)^{p}\, dx"," ",0,"int((b*(c*x)^n+a)^p,x)","F"
2927,0,0,48,0.236000," ","int((b*(c*x)^n+a)^p/x,x)","\int \frac{\left(b \left(c x \right)^{n}+a \right)^{p}}{x}\, dx"," ",0,"int((b*(c*x)^n+a)^p/x,x)","F"
2928,0,0,61,0.239000," ","int((b*(c*x)^n+a)^p/x^2,x)","\int \frac{\left(b \left(c x \right)^{n}+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*(c*x)^n+a)^p/x^2,x)","F"
2929,1,108,64,0.012000," ","int(1/(1+(x^2)^(3/2)),x)","\frac{\left(-2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(-2 x +\left(\frac{x^{3}}{\left(x^{2}\right)^{\frac{3}{2}}}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{x^{3}}{\left(x^{2}\right)^{\frac{3}{2}}}\right)^{\frac{1}{3}}}\right)+2 \ln \left(x +\left(\frac{x^{3}}{\left(x^{2}\right)^{\frac{3}{2}}}\right)^{\frac{1}{3}}\right)-\ln \left(x^{2}-\left(\frac{x^{3}}{\left(x^{2}\right)^{\frac{3}{2}}}\right)^{\frac{1}{3}} x +\left(\frac{x^{3}}{\left(x^{2}\right)^{\frac{3}{2}}}\right)^{\frac{2}{3}}\right)\right) x^{3}}{6 \left(x^{2}\right)^{\frac{3}{2}} \left(\frac{x^{3}}{\left(x^{2}\right)^{\frac{3}{2}}}\right)^{\frac{2}{3}}}"," ",0,"1/6*x^3*(-2*3^(1/2)*arctan(1/3*3^(1/2)*(-2*x+(1/(x^2)^(3/2)*x^3)^(1/3))/(1/(x^2)^(3/2)*x^3)^(1/3))+2*ln(x+(1/(x^2)^(3/2)*x^3)^(1/3))-ln(x^2-x*(1/(x^2)^(3/2)*x^3)^(1/3)+(1/(x^2)^(3/2)*x^3)^(2/3)))/(x^2)^(3/2)/(1/(x^2)^(3/2)*x^3)^(2/3)","A"
2930,1,92,140,0.008000," ","int(x^5*(a+b*(c*x^2)^(1/2))^(1/2),x)","\frac{2 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{3}{2}} \left(-630 a \,b^{4} c^{2} x^{4}-480 a^{3} b^{2} c \,x^{2}-256 a^{5}+384 \sqrt{c \,x^{2}}\, a^{4} b +560 \left(c \,x^{2}\right)^{\frac{3}{2}} a^{2} b^{3}+693 \left(c \,x^{2}\right)^{\frac{5}{2}} b^{5}\right)}{9009 b^{6} c^{3}}"," ",0,"2/9009*(a+b*(c*x^2)^(1/2))^(3/2)*(693*(c*x^2)^(5/2)*b^5-630*c^2*x^4*a*b^4+560*(c*x^2)^(3/2)*a^2*b^3-480*c*x^2*a^3*b^2+384*(c*x^2)^(1/2)*a^4*b-256*a^5)/c^3/b^6","A"
2931,1,63,92,0.004000," ","int(x^3*(a+(c*x^2)^(1/2)*b)^(1/2),x)","\frac{2 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{3}{2}} \left(-30 a \,b^{2} c \,x^{2}-16 a^{3}+24 \sqrt{c \,x^{2}}\, a^{2} b +35 \left(c \,x^{2}\right)^{\frac{3}{2}} b^{3}\right)}{315 b^{4} c^{2}}"," ",0,"2/315*(a+(c*x^2)^(1/2)*b)^(3/2)*(35*(c*x^2)^(3/2)*b^3-30*c*x^2*a*b^2+24*(c*x^2)^(1/2)*a^2*b-16*a^3)/c^2/b^4","A"
2932,1,36,44,0.008000," ","int(x*(a+(c*x^2)^(1/2)*b)^(1/2),x)","\frac{2 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{3}{2}} \left(-2 a +3 \sqrt{c \,x^{2}}\, b \right)}{15 b^{2} c}"," ",0,"2/15*(a+(c*x^2)^(1/2)*b)^(3/2)*(-2*a+3*(c*x^2)^(1/2)*b)/c/b^2","A"
2933,1,40,39,0.006000," ","int((a+(c*x^2)^(1/2)*b)^(1/2)/x,x)","-2 \sqrt{a}\, \arctanh \left(\frac{\sqrt{a +\sqrt{c \,x^{2}}\, b}}{\sqrt{a}}\right)+2 \sqrt{a +\sqrt{c \,x^{2}}\, b}"," ",0,"-2*arctanh((a+(c*x^2)^(1/2)*b)^(1/2)/a^(1/2))*a^(1/2)+2*(a+(c*x^2)^(1/2)*b)^(1/2)","A"
2934,1,72,73,0.012000," ","int((a+(c*x^2)^(1/2)*b)^(1/2)/x^3,x)","-\frac{-a \,b^{2} c \,x^{2} \arctanh \left(\frac{\sqrt{a +\sqrt{c \,x^{2}}\, b}}{\sqrt{a}}\right)+\sqrt{a +\sqrt{c \,x^{2}}\, b}\, a^{\frac{5}{2}}+\left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{3}{2}} a^{\frac{3}{2}}}{4 a^{\frac{5}{2}} x^{2}}"," ",0,"-1/4*(-arctanh((a+(c*x^2)^(1/2)*b)^(1/2)/a^(1/2))*c*x^2*a*b^2+(a+(c*x^2)^(1/2)*b)^(3/2)*a^(3/2)+(a+(c*x^2)^(1/2)*b)^(1/2)*a^(5/2))/x^2/a^(5/2)","A"
2935,1,114,133,0.013000," ","int((a+(c*x^2)^(1/2)*b)^(1/2)/x^5,x)","-\frac{-15 a^{3} b^{4} c^{2} x^{4} \arctanh \left(\frac{\sqrt{a +\sqrt{c \,x^{2}}\, b}}{\sqrt{a}}\right)+15 \sqrt{a +\sqrt{c \,x^{2}}\, b}\, a^{\frac{13}{2}}+73 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{3}{2}} a^{\frac{11}{2}}-55 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{5}{2}} a^{\frac{9}{2}}+15 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{7}{2}} a^{\frac{7}{2}}}{192 a^{\frac{13}{2}} x^{4}}"," ",0,"-1/192*(15*(a+(c*x^2)^(1/2)*b)^(7/2)*a^(7/2)-15*arctanh((a+(c*x^2)^(1/2)*b)^(1/2)/a^(1/2))*a^3*b^4*c^2*x^4-55*(a+(c*x^2)^(1/2)*b)^(5/2)*a^(9/2)+73*(a+(c*x^2)^(1/2)*b)^(3/2)*a^(11/2)+15*(a+(c*x^2)^(1/2)*b)^(1/2)*a^(13/2))/a^(13/2)/x^4","A"
2936,1,84,151,0.006000," ","int(x^4*(a+(c*x^2)^(1/2)*b)^(1/2),x)","-\frac{2 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{3}{2}} \left(-315 b^{4} c^{2} x^{4}-240 a^{2} b^{2} c \,x^{2}-128 a^{4}+192 \sqrt{c \,x^{2}}\, a^{3} b +280 \left(c \,x^{2}\right)^{\frac{3}{2}} a \,b^{3}\right) x^{5}}{3465 \left(c \,x^{2}\right)^{\frac{5}{2}} b^{5}}"," ",0,"-2/3465*x^5*(a+(c*x^2)^(1/2)*b)^(3/2)*(-315*c^2*x^4*b^4+280*(c*x^2)^(3/2)*a*b^3-240*c*x^2*a^2*b^2+192*(c*x^2)^(1/2)*a^3*b-128*a^4)/(c*x^2)^(5/2)/b^5","A"
2937,1,55,89,0.005000," ","int(x^2*(a+(c*x^2)^(1/2)*b)^(1/2),x)","-\frac{2 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{3}{2}} \left(-15 b^{2} c \,x^{2}-8 a^{2}+12 \sqrt{c \,x^{2}}\, a b \right) x^{3}}{105 \left(c \,x^{2}\right)^{\frac{3}{2}} b^{3}}"," ",0,"-2/105*x^3*(a+(c*x^2)^(1/2)*b)^(3/2)*(-15*c*x^2*b^2+12*(c*x^2)^(1/2)*a*b-8*a^2)/(c*x^2)^(3/2)/b^3","A"
2938,1,27,26,0.001000," ","int((a+(c*x^2)^(1/2)*b)^(1/2),x)","\frac{2 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{3}{2}} x}{3 \sqrt{c \,x^{2}}\, b}"," ",0,"2/3*x*(a+(c*x^2)^(1/2)*b)^(3/2)/b/(c*x^2)^(1/2)","A"
2939,1,54,53,0.010000," ","int((a+(c*x^2)^(1/2)*b)^(1/2)/x^2,x)","-\frac{\sqrt{c \,x^{2}}\, b \arctanh \left(\frac{\sqrt{a +\sqrt{c \,x^{2}}\, b}}{\sqrt{a}}\right)+\sqrt{a +\sqrt{c \,x^{2}}\, b}\, \sqrt{a}}{\sqrt{a}\, x}"," ",0,"-(arctanh((a+(c*x^2)^(1/2)*b)^(1/2)/a^(1/2))*b*(c*x^2)^(1/2)+(a+(c*x^2)^(1/2)*b)^(1/2)*a^(1/2))/x/a^(1/2)","A"
2940,1,97,112,0.014000," ","int((a+(c*x^2)^(1/2)*b)^(1/2)/x^4,x)","-\frac{3 \left(c \,x^{2}\right)^{\frac{3}{2}} a^{2} b^{3} \arctanh \left(\frac{\sqrt{a +\sqrt{c \,x^{2}}\, b}}{\sqrt{a}}\right)+3 \sqrt{a +\sqrt{c \,x^{2}}\, b}\, a^{\frac{9}{2}}+8 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{3}{2}} a^{\frac{7}{2}}-3 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{5}{2}} a^{\frac{5}{2}}}{24 a^{\frac{9}{2}} x^{3}}"," ",0,"-1/24*(-3*(a+(c*x^2)^(1/2)*b)^(5/2)*a^(5/2)+3*arctanh((a+(c*x^2)^(1/2)*b)^(1/2)/a^(1/2))*a^2*b^3*(c*x^2)^(3/2)+8*(a+(c*x^2)^(1/2)*b)^(3/2)*a^(7/2)+3*(a+(c*x^2)^(1/2)*b)^(1/2)*a^(9/2))/x^3/a^(9/2)","A"
2941,1,133,173,0.015000," ","int((a+(c*x^2)^(1/2)*b)^(1/2)/x^6,x)","-\frac{105 \left(c \,x^{2}\right)^{\frac{5}{2}} a^{4} b^{5} \arctanh \left(\frac{\sqrt{a +\sqrt{c \,x^{2}}\, b}}{\sqrt{a}}\right)+105 \sqrt{a +\sqrt{c \,x^{2}}\, b}\, a^{\frac{17}{2}}+790 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{3}{2}} a^{\frac{15}{2}}-896 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{5}{2}} a^{\frac{13}{2}}+490 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{7}{2}} a^{\frac{11}{2}}-105 \left(a +\sqrt{c \,x^{2}}\, b \right)^{\frac{9}{2}} a^{\frac{9}{2}}}{1920 a^{\frac{17}{2}} x^{5}}"," ",0,"-1/1920*(-105*(a+(c*x^2)^(1/2)*b)^(9/2)*a^(9/2)+490*(a+(c*x^2)^(1/2)*b)^(7/2)*a^(11/2)-896*(a+(c*x^2)^(1/2)*b)^(5/2)*a^(13/2)+105*arctanh((a+(c*x^2)^(1/2)*b)^(1/2)/a^(1/2))*a^4*b^5*(c*x^2)^(5/2)+790*(a+(c*x^2)^(1/2)*b)^(3/2)*a^(15/2)+105*(a+(c*x^2)^(1/2)*b)^(1/2)*a^(17/2))/x^5/a^(17/2)","A"
2942,0,0,89,0.243000," ","int(x^8*(a+b*(c*x^2)^(3/2))^(1/2),x)","\int \sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}\, x^{8}\, dx"," ",0,"int(x^8*(a+b*(c*x^2)^(3/2))^(1/2),x)","F"
2943,0,0,44,0.227000," ","int(x^5*(a+(c*x^2)^(3/2)*b)^(1/2),x)","\int \sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}\, x^{5}\, dx"," ",0,"int(x^5*(a+(c*x^2)^(3/2)*b)^(1/2),x)","F"
2944,1,29,28,0.005000," ","int(x^2*(a+(c*x^2)^(3/2)*b)^(1/2),x)","\frac{2 \left(a +\left(c \,x^{2}\right)^{\frac{3}{2}} b \right)^{\frac{3}{2}} x^{3}}{9 \left(c \,x^{2}\right)^{\frac{3}{2}} b}"," ",0,"2/9*x^3*(a+(c*x^2)^(3/2)*b)^(3/2)/b/(c*x^2)^(3/2)","A"
2945,0,0,39,0.227000," ","int((a+(c*x^2)^(3/2)*b)^(1/2)/x,x)","\int \frac{\sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}}{x}\, dx"," ",0,"int((a+(c*x^2)^(3/2)*b)^(1/2)/x,x)","F"
2946,0,0,53,0.223000," ","int((a+(c*x^2)^(3/2)*b)^(1/2)/x^4,x)","\int \frac{\sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}}{x^{4}}\, dx"," ",0,"int((a+(c*x^2)^(3/2)*b)^(1/2)/x^4,x)","F"
2947,0,0,255,0.224000," ","int(x^3*(a+(c*x^2)^(3/2)*b)^(1/2),x)","\int \sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}\, x^{3}\, dx"," ",0,"int(x^3*(a+(c*x^2)^(3/2)*b)^(1/2),x)","F"
2948,0,0,227,0.224000," ","int((a+(c*x^2)^(3/2)*b)^(1/2),x)","\int \sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}\, dx"," ",0,"int((a+(c*x^2)^(3/2)*b)^(1/2),x)","F"
2949,0,0,221,0.223000," ","int((a+(c*x^2)^(3/2)*b)^(1/2)/x^3,x)","\int \frac{\sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}}{x^{3}}\, dx"," ",0,"int((a+(c*x^2)^(3/2)*b)^(1/2)/x^3,x)","F"
2950,0,0,265,0.235000," ","int((a+(c*x^2)^(3/2)*b)^(1/2)/x^6,x)","\int \frac{\sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}}{x^{6}}\, dx"," ",0,"int((a+(c*x^2)^(3/2)*b)^(1/2)/x^6,x)","F"
2951,0,0,523,0.229000," ","int(x^4*(a+(c*x^2)^(3/2)*b)^(1/2),x)","\int \sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}\, x^{4}\, dx"," ",0,"int(x^4*(a+(c*x^2)^(3/2)*b)^(1/2),x)","F"
2952,1,495,470,0.012000," ","int(x*(a+(c*x^2)^(3/2)*b)^(1/2),x)","\frac{\frac{4 \sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}\, c \,x^{2}}{7}-\frac{4 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\sqrt{c \,x^{2}}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{-\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}+\sqrt{c \,x^{2}}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\sqrt{c \,x^{2}}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\sqrt{c \,x^{2}}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\sqrt{c \,x^{2}}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) a}{7 \sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}\, b}}{2 c}"," ",0,"1/2/c*(4/7*c*x^2*(a+(c*x^2)^(3/2)*b)^(1/2)-4/7*I*a*3^(1/2)*(-a*b^2)^(1/3)/b*(I*((c*x^2)^(1/2)+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)*b/(-a*b^2)^(1/3))^(1/2)*(((c*x^2)^(1/2)-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*((c*x^2)^(1/2)+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)*b/(-a*b^2)^(1/3))^(1/2)/(a+(c*x^2)^(3/2)*b)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*((c*x^2)^(1/2)+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)*b/(-a*b^2)^(1/3))^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*((c*x^2)^(1/2)+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)*b/(-a*b^2)^(1/3))^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))))","A"
2953,0,0,489,0.221000," ","int((a+(c*x^2)^(3/2)*b)^(1/2)/x^2,x)","\int \frac{\sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}}{x^{2}}\, dx"," ",0,"int((a+(c*x^2)^(3/2)*b)^(1/2)/x^2,x)","F"
2954,0,0,501,0.223000," ","int((a+(c*x^2)^(3/2)*b)^(1/2)/x^5,x)","\int \frac{\sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}}{x^{5}}\, dx"," ",0,"int((a+(c*x^2)^(3/2)*b)^(1/2)/x^5,x)","F"
2955,0,0,72,0.223000," ","int((d*x)^m*(a+(c*x^2)^(3/2)*b)^(1/2),x)","\int \sqrt{a +\left(c \,x^{2}\right)^{\frac{3}{2}} b}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+(c*x^2)^(3/2)*b)^(1/2),x)","F"
2956,0,0,74,0.221000," ","int((d*x)^m*(a+(c*x^2)^(1/2)*b)^(1/2),x)","\int \sqrt{a +\sqrt{c \,x^{2}}\, b}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+(c*x^2)^(1/2)*b)^(1/2),x)","F"
2957,0,0,73,0.226000," ","int((d*x)^m*(a+b/(c*x^2)^(1/2))^(1/2),x)","\int \sqrt{a +\frac{b}{\sqrt{c \,x^{2}}}}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+b/(c*x^2)^(1/2))^(1/2),x)","F"
2958,0,0,72,0.227000," ","int((d*x)^m*(a+b/(c*x^2)^(3/2))^(1/2),x)","\int \sqrt{a +\frac{b}{\left(c \,x^{2}\right)^{\frac{3}{2}}}}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+b/(c*x^2)^(3/2))^(1/2),x)","F"
2959,1,14,13,0.220000," ","int(1/(1+(x^3)^(2/3)),x)","\frac{x \arctan \left(\left(x^{3}\right)^{\frac{1}{3}}\right)}{\left(x^{3}\right)^{\frac{1}{3}}}"," ",0,"x*arctan((x^3)^(1/3))/(x^3)^(1/3)","A"
2960,1,103,92,0.434000," ","int(x^5*(a+b*(c*x^3)^(1/2))^(1/2),x)","\frac{4 \sqrt{a +\sqrt{c \,x^{3}}\, b}\, \left(5 a \,b^{3} c^{3} x^{9}+8 a^{3} b \,c^{2} x^{6}+35 \left(c \,x^{3}\right)^{\frac{3}{2}} b^{4} c^{2} x^{6}-6 \left(c \,x^{3}\right)^{\frac{3}{2}} a^{2} b^{2} c \,x^{3}-16 \left(c \,x^{3}\right)^{\frac{3}{2}} a^{4}\right)}{945 \left(c \,x^{3}\right)^{\frac{3}{2}} b^{4} c^{2}}"," ",0,"4/945/c^2*(a+b*(c*x^3)^(1/2))^(1/2)*(35*c^2*x^6*b^4*(c*x^3)^(3/2)+5*a*x^9*c^3*b^3+8*a^3*x^6*c^2*b-6*a^2*c*x^3*b^2*(c*x^3)^(3/2)-16*a^4*(c*x^3)^(3/2))/b^4/(c*x^3)^(3/2)","A"
2961,1,65,44,0.290000," ","int(x^2*(a+(c*x^3)^(1/2)*b)^(1/2),x)","\frac{4 \sqrt{a +\sqrt{c \,x^{3}}\, b}\, \left(a b c \,x^{3}+3 \sqrt{c \,x^{3}}\, b^{2} c \,x^{3}-2 \sqrt{c \,x^{3}}\, a^{2}\right)}{45 \sqrt{c \,x^{3}}\, b^{2} c}"," ",0,"4/45/c*(a+(c*x^3)^(1/2)*b)^(1/2)*(3*c*x^3*(c*x^3)^(1/2)*b^2+a*x^3*c*b-2*a^2*(c*x^3)^(1/2))/(c*x^3)^(1/2)/b^2","A"
2962,1,40,39,0.289000," ","int((a+(c*x^3)^(1/2)*b)^(1/2)/x,x)","-\frac{4 \sqrt{a}\, \arctanh \left(\frac{\sqrt{a +\sqrt{c \,x^{3}}\, b}}{\sqrt{a}}\right)}{3}+\frac{4 \sqrt{a +\sqrt{c \,x^{3}}\, b}}{3}"," ",0,"-4/3*arctanh((a+(c*x^3)^(1/2)*b)^(1/2)/a^(1/2))*a^(1/2)+4/3*(a+(c*x^3)^(1/2)*b)^(1/2)","A"
2963,1,81,73,0.303000," ","int((a+(c*x^3)^(1/2)*b)^(1/2)/x^4,x)","-\frac{-a \,b^{2} c \,x^{3} \arctanh \left(\frac{\sqrt{a +\sqrt{c \,x^{3}}\, b}}{\sqrt{a}}\right)+2 \sqrt{a +\sqrt{c \,x^{3}}\, b}\, a^{\frac{5}{2}}+\sqrt{c \,x^{3}}\, \sqrt{a +\sqrt{c \,x^{3}}\, b}\, a^{\frac{3}{2}} b}{6 a^{\frac{5}{2}} x^{3}}"," ",0,"-1/6*(-b^2*arctanh((a+(c*x^3)^(1/2)*b)^(1/2)/a^(1/2))*c*x^3*a+(c*x^3)^(1/2)*b*(a+(c*x^3)^(1/2)*b)^(1/2)*a^(3/2)+2*(a+(c*x^3)^(1/2)*b)^(1/2)*a^(5/2))/x^3/a^(5/2)","A"
2964,1,350,297,0.434000," ","int(x*(a+(c*x^3)^(1/2)*b)^(1/2),x)","\frac{\frac{4 b^{3} c^{2} x^{5}}{11}+\frac{12 a^{2} b c \,x^{2}}{55}+\frac{32 \sqrt{c \,x^{3}}\, a \,b^{2} c \,x^{2}}{55}+\frac{4 i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} \sqrt{2}\, \sqrt{-\frac{i \left(-2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{\frac{\sqrt{c \,x^{3}}\, b -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) x}}\, \sqrt{-\frac{i \left(2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{c \,x^{3}}\, a^{2} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{-\frac{i \left(-2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}}{6}, \sqrt{2}\, \sqrt{\frac{i \sqrt{3}}{i \sqrt{3}-3}}\right)}{55}}{\sqrt{c \,x^{3}}\, \sqrt{a +\sqrt{c \,x^{3}}\, b}\, b^{2} c}"," ",0,"4/55*(I*a^2*3^(1/2)*(-a*c*b^2)^(1/3)*2^(1/2)*(-I*(I*3^(1/2)*x*(-a*c*b^2)^(1/3)-2*(c*x^3)^(1/2)*b-x*(-a*c*b^2)^(1/3))*3^(1/2)/x/(-a*c*b^2)^(1/3))^(1/2)*(((c*x^3)^(1/2)*b-x*(-a*c*b^2)^(1/3))/x/(-a*c*b^2)^(1/3)/(I*3^(1/2)-3))^(1/2)*(-I*(I*3^(1/2)*x*(-a*c*b^2)^(1/3)+2*(c*x^3)^(1/2)*b+x*(-a*c*b^2)^(1/3))*3^(1/2)/x/(-a*c*b^2)^(1/3))^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*(-I*(I*3^(1/2)*x*(-a*c*b^2)^(1/3)-2*(c*x^3)^(1/2)*b-x*(-a*c*b^2)^(1/3))*3^(1/2)/x/(-a*c*b^2)^(1/3))^(1/2),2^(1/2)*(I*3^(1/2)/(I*3^(1/2)-3))^(1/2))*(c*x^3)^(1/2)+5*c^2*x^5*b^3+8*(c*x^3)^(1/2)*x^2*a*b^2*c+3*x^2*a^2*b*c)/c/(c*x^3)^(1/2)/b^2/(a+(c*x^3)^(1/2)*b)^(1/2)","A"
2965,1,306,264,0.289000," ","int((a+(c*x^3)^(1/2)*b)^(1/2)/x^2,x)","-\frac{i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} \sqrt{2}\, \sqrt{-\frac{i \left(-2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{\frac{\sqrt{c \,x^{3}}\, b -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) x}}\, \sqrt{-\frac{i \left(2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, x \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{-\frac{i \left(-2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}}{6}, \sqrt{2}\, \sqrt{\frac{i \sqrt{3}}{i \sqrt{3}-3}}\right)+2 a +2 \sqrt{c \,x^{3}}\, b}{2 \sqrt{a +\sqrt{c \,x^{3}}\, b}\, x}"," ",0,"-1/2*(I*3^(1/2)*(-a*b^2*c)^(1/3)*2^(1/2)*(-I*(-2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x-(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*(((c*x^3)^(1/2)*b-(-a*b^2*c)^(1/3)*x)/(-a*b^2*c)^(1/3)/(I*3^(1/2)-3)/x)^(1/2)*(-I*(2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*(-I*(-2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x-(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2),2^(1/2)*(I*3^(1/2)/(I*3^(1/2)-3))^(1/2))*x+2*a+2*(c*x^3)^(1/2)*b)/x/(a+(c*x^3)^(1/2)*b)^(1/2)","A"
2966,1,346,325,0.300000," ","int((a+(c*x^3)^(1/2)*b)^(1/2)/x^5,x)","-\frac{7 i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} \sqrt{2}\, \sqrt{-\frac{i \left(-2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{\frac{\sqrt{c \,x^{3}}\, b -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) x}}\, \sqrt{-\frac{i \left(2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, b^{2} c \,x^{4} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{-\frac{i \left(-2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}}{6}, \sqrt{2}\, \sqrt{\frac{i \sqrt{3}}{i \sqrt{3}-3}}\right)-18 a \,b^{2} c \,x^{3}-42 \sqrt{c \,x^{3}}\, b^{3} c \,x^{3}+80 a^{3}+104 \sqrt{c \,x^{3}}\, a^{2} b}{320 \sqrt{a +\sqrt{c \,x^{3}}\, b}\, a^{2} x^{4}}"," ",0,"-1/320*(7*I*b^2*3^(1/2)*(-a*b^2*c)^(1/3)*2^(1/2)*(-I*(-2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x-(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*(((c*x^3)^(1/2)*b-(-a*b^2*c)^(1/3)*x)/(-a*b^2*c)^(1/3)/(I*3^(1/2)-3)/x)^(1/2)*(-I*(2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*(-I*(-2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x-(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2),2^(1/2)*(I*3^(1/2)/(I*3^(1/2)-3))^(1/2))*c*x^4-42*(c*x^3)^(1/2)*x^3*b^3*c-18*x^3*a*b^2*c+104*(c*x^3)^(1/2)*a^2*b+80*a^3)/x^4/a^2/(a+(c*x^3)^(1/2)*b)^(1/2)","A"
2967,1,932,617,0.288000," ","int(x^3*(a+(c*x^3)^(1/2)*b)^(1/2),x)","\frac{\frac{64 a \,b^{4} c^{2} x^{6}}{247}+\frac{4 \sqrt{c \,x^{3}}\, b^{5} c^{2} x^{6}}{19}-\frac{120 a^{3} b^{2} c \,x^{3}}{1729}-\frac{120 \sqrt{c \,x^{3}}\, a^{2} b^{3} c \,x^{3}}{1729}+\frac{120 i \sqrt{2}\, \sqrt{-\frac{i \left(-2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{\frac{\sqrt{c \,x^{3}}\, b -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) x}}\, \sqrt{-\frac{i \left(2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{2}{3}} a^{3} x^{2} \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{-\frac{i \left(-2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}}{6}, \sqrt{2}\, \sqrt{\frac{i \sqrt{3}}{i \sqrt{3}-3}}\right)}{1729}+\frac{120 \sqrt{2}\, \sqrt{-\frac{i \left(-2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{\frac{\sqrt{c \,x^{3}}\, b -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) x}}\, \sqrt{-\frac{i \left(2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \left(-a \,b^{2} c \right)^{\frac{2}{3}} a^{3} x^{2} \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{-\frac{i \left(-2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}}{6}, \sqrt{2}\, \sqrt{\frac{i \sqrt{3}}{i \sqrt{3}-3}}\right)}{1729}-\frac{80 i \sqrt{2}\, \sqrt{-\frac{i \left(-2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{\frac{\sqrt{c \,x^{3}}\, b -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) x}}\, \sqrt{-\frac{i \left(2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{2}{3}} a^{3} x^{2} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{-\frac{i \left(-2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}}{6}, \sqrt{2}\, \sqrt{\frac{i \sqrt{3}}{i \sqrt{3}-3}}\right)}{1729}+\frac{12 \left(c \,x^{3}\right)^{\frac{3}{2}} a^{2} b^{3}}{247}}{\sqrt{a +\sqrt{c \,x^{3}}\, b}\, b^{4} c^{2} x^{2}}"," ",0,"4/1729/c^2/x^2*(30*I*2^(1/2)*(-I*(-2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x-(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*(((c*x^3)^(1/2)*b-(-a*b^2*c)^(1/3)*x)/(-a*b^2*c)^(1/3)/(I*3^(1/2)-3)/x)^(1/2)*(-I*(2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*(-I*(-2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x-(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2),2^(1/2)*(I*3^(1/2)/(I*3^(1/2)-3))^(1/2))*x^2*3^(1/2)*(-a*b^2*c)^(2/3)*a^3-20*I*2^(1/2)*(-I*(-2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x-(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*(((c*x^3)^(1/2)*b-(-a*b^2*c)^(1/3)*x)/(-a*b^2*c)^(1/3)/(I*3^(1/2)-3)/x)^(1/2)*(-I*(2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*(-I*(-2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x-(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2),2^(1/2)*(I*3^(1/2)/(I*3^(1/2)-3))^(1/2))*x^2*3^(1/2)*(-a*b^2*c)^(2/3)*a^3+91*(c*x^3)^(1/2)*x^6*b^5*c^2+112*x^6*a*b^4*c^2+30*2^(1/2)*(-I*(-2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x-(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*(((c*x^3)^(1/2)*b-(-a*b^2*c)^(1/3)*x)/(-a*b^2*c)^(1/3)/(I*3^(1/2)-3)/x)^(1/2)*(-I*(2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*(-I*(-2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x-(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2),2^(1/2)*(I*3^(1/2)/(I*3^(1/2)-3))^(1/2))*x^2*(-a*b^2*c)^(2/3)*a^3-30*(c*x^3)^(1/2)*x^3*a^2*b^3*c-30*x^3*a^3*b^2*c+21*(c*x^3)^(3/2)*a^2*b^3)/b^4/(a+(c*x^3)^(1/2)*b)^(1/2)","A"
2968,1,854,558,0.353000," ","int((a+(c*x^3)^(1/2)*b)^(1/2),x)","\frac{4 a \,b^{2} c x +4 \sqrt{c \,x^{3}}\, b^{3} c x +3 i \sqrt{\frac{\sqrt{c \,x^{3}}\, b -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) x}}\, \sqrt{-\frac{i \left(2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \left(-a \,b^{2} c \right)^{\frac{2}{3}} \sqrt{3}\, \sqrt{\frac{i \left(2 \sqrt{c \,x^{3}}\, b -i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{2}\, a \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\frac{i \left(2 \sqrt{c \,x^{3}}\, b -i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}}{6}, \sqrt{2}\, \sqrt{\frac{i \sqrt{3}}{i \sqrt{3}-3}}\right)+3 \sqrt{\frac{\sqrt{c \,x^{3}}\, b -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) x}}\, \sqrt{-\frac{i \left(2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \left(-a \,b^{2} c \right)^{\frac{2}{3}} \sqrt{\frac{i \left(2 \sqrt{c \,x^{3}}\, b -i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{2}\, a \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\frac{i \left(2 \sqrt{c \,x^{3}}\, b -i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}}{6}, \sqrt{2}\, \sqrt{\frac{i \sqrt{3}}{i \sqrt{3}-3}}\right)-2 i \sqrt{\frac{\sqrt{c \,x^{3}}\, b -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) x}}\, \sqrt{-\frac{i \left(2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \left(-a \,b^{2} c \right)^{\frac{2}{3}} \sqrt{3}\, \sqrt{\frac{i \left(2 \sqrt{c \,x^{3}}\, b -i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{2}\, a \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\frac{i \left(2 \sqrt{c \,x^{3}}\, b -i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}}{6}, \sqrt{2}\, \sqrt{\frac{i \sqrt{3}}{i \sqrt{3}-3}}\right)}{7 \sqrt{a +\sqrt{c \,x^{3}}\, b}\, b^{2} c}"," ",0,"1/7/c*(3*I*(((c*x^3)^(1/2)*b-(-a*b^2*c)^(1/3)*x)/(-a*b^2*c)^(1/3)/(I*3^(1/2)-3)/x)^(1/2)*(-I*(2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*(I*(-I*3^(1/2)*x*(-a*b^2*c)^(1/3)+2*(c*x^3)^(1/2)*b+(-a*b^2*c)^(1/3)*x)*3^(1/2)/x/(-a*b^2*c)^(1/3))^(1/2),2^(1/2)*(I*3^(1/2)/(I*3^(1/2)-3))^(1/2))*(-a*b^2*c)^(2/3)*3^(1/2)*(I*(-I*3^(1/2)*x*(-a*b^2*c)^(1/3)+2*(c*x^3)^(1/2)*b+(-a*b^2*c)^(1/3)*x)*3^(1/2)/x/(-a*b^2*c)^(1/3))^(1/2)*2^(1/2)*a-2*I*(((c*x^3)^(1/2)*b-(-a*b^2*c)^(1/3)*x)/(-a*b^2*c)^(1/3)/(I*3^(1/2)-3)/x)^(1/2)*(-I*(2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*(I*(-I*3^(1/2)*x*(-a*b^2*c)^(1/3)+2*(c*x^3)^(1/2)*b+(-a*b^2*c)^(1/3)*x)*3^(1/2)/x/(-a*b^2*c)^(1/3))^(1/2),2^(1/2)*(I*3^(1/2)/(I*3^(1/2)-3))^(1/2))*(-a*b^2*c)^(2/3)*3^(1/2)*(I*(-I*3^(1/2)*x*(-a*b^2*c)^(1/3)+2*(c*x^3)^(1/2)*b+(-a*b^2*c)^(1/3)*x)*3^(1/2)/x/(-a*b^2*c)^(1/3))^(1/2)*2^(1/2)*a+3*(((c*x^3)^(1/2)*b-(-a*b^2*c)^(1/3)*x)/(-a*b^2*c)^(1/3)/(I*3^(1/2)-3)/x)^(1/2)*(-I*(2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*(I*(-I*3^(1/2)*x*(-a*b^2*c)^(1/3)+2*(c*x^3)^(1/2)*b+(-a*b^2*c)^(1/3)*x)*3^(1/2)/x/(-a*b^2*c)^(1/3))^(1/2),2^(1/2)*(I*3^(1/2)/(I*3^(1/2)-3))^(1/2))*(-a*b^2*c)^(2/3)*(I*(-I*3^(1/2)*x*(-a*b^2*c)^(1/3)+2*(c*x^3)^(1/2)*b+(-a*b^2*c)^(1/3)*x)*3^(1/2)/x/(-a*b^2*c)^(1/3))^(1/2)*2^(1/2)*a+4*(c*x^3)^(1/2)*x*b^3*c+4*x*a*b^2*c)/b^2/(a+(c*x^3)^(1/2)*b)^(1/2)","A"
2969,1,863,590,0.298000," ","int((a+(c*x^3)^(1/2)*b)^(1/2)/x^3,x)","\frac{-12 b^{2} c \,x^{3}+3 i \sqrt{2}\, \sqrt{\frac{i \left(2 \sqrt{c \,x^{3}}\, b -i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{\frac{\sqrt{c \,x^{3}}\, b -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) x}}\, \sqrt{-\frac{i \left(2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \left(-a \,b^{2} c \right)^{\frac{2}{3}} \sqrt{3}\, x^{2} \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\frac{i \left(2 \sqrt{c \,x^{3}}\, b -i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}}{6}, \sqrt{2}\, \sqrt{\frac{i \sqrt{3}}{i \sqrt{3}-3}}\right)+3 \sqrt{2}\, \sqrt{\frac{i \left(2 \sqrt{c \,x^{3}}\, b -i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{\frac{\sqrt{c \,x^{3}}\, b -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) x}}\, \sqrt{-\frac{i \left(2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \left(-a \,b^{2} c \right)^{\frac{2}{3}} x^{2} \EllipticE \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\frac{i \left(2 \sqrt{c \,x^{3}}\, b -i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}}{6}, \sqrt{2}\, \sqrt{\frac{i \sqrt{3}}{i \sqrt{3}-3}}\right)-2 i \sqrt{2}\, \sqrt{\frac{i \left(2 \sqrt{c \,x^{3}}\, b -i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \sqrt{\frac{\sqrt{c \,x^{3}}\, b -\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} \left(i \sqrt{3}-3\right) x}}\, \sqrt{-\frac{i \left(2 \sqrt{c \,x^{3}}\, b +i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}\, \left(-a \,b^{2} c \right)^{\frac{2}{3}} \sqrt{3}\, x^{2} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{2}\, \sqrt{\frac{i \left(2 \sqrt{c \,x^{3}}\, b -i \sqrt{3}\, \left(-a \,b^{2} c \right)^{\frac{1}{3}} x +\left(-a \,b^{2} c \right)^{\frac{1}{3}} x \right) \sqrt{3}}{\left(-a \,b^{2} c \right)^{\frac{1}{3}} x}}}{6}, \sqrt{2}\, \sqrt{\frac{i \sqrt{3}}{i \sqrt{3}-3}}\right)-8 a^{2}-20 \sqrt{c \,x^{3}}\, a b}{16 \sqrt{a +\sqrt{c \,x^{3}}\, b}\, a \,x^{2}}"," ",0,"1/16*(3*I*2^(1/2)*(I*(2*(c*x^3)^(1/2)*b-I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*(((c*x^3)^(1/2)*b-(-a*b^2*c)^(1/3)*x)/(-a*b^2*c)^(1/3)/(I*3^(1/2)-3)/x)^(1/2)*(-I*(2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*(I*(2*(c*x^3)^(1/2)*b-I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2),2^(1/2)*(I*3^(1/2)/(I*3^(1/2)-3))^(1/2))*(-a*b^2*c)^(2/3)*3^(1/2)*x^2-2*I*2^(1/2)*(I*(2*(c*x^3)^(1/2)*b-I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*(((c*x^3)^(1/2)*b-(-a*b^2*c)^(1/3)*x)/(-a*b^2*c)^(1/3)/(I*3^(1/2)-3)/x)^(1/2)*(-I*(2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*EllipticF(1/6*3^(1/2)*2^(1/2)*(I*(2*(c*x^3)^(1/2)*b-I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2),2^(1/2)*(I*3^(1/2)/(I*3^(1/2)-3))^(1/2))*(-a*b^2*c)^(2/3)*3^(1/2)*x^2+3*2^(1/2)*(I*(2*(c*x^3)^(1/2)*b-I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*(((c*x^3)^(1/2)*b-(-a*b^2*c)^(1/3)*x)/(-a*b^2*c)^(1/3)/(I*3^(1/2)-3)/x)^(1/2)*(-I*(2*(c*x^3)^(1/2)*b+I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2)*EllipticE(1/6*3^(1/2)*2^(1/2)*(I*(2*(c*x^3)^(1/2)*b-I*3^(1/2)*(-a*b^2*c)^(1/3)*x+(-a*b^2*c)^(1/3)*x)*3^(1/2)/(-a*b^2*c)^(1/3)/x)^(1/2),2^(1/2)*(I*3^(1/2)/(I*3^(1/2)-3))^(1/2))*(-a*b^2*c)^(2/3)*x^2-12*c*x^3*b^2-20*(c*x^3)^(1/2)*a*b-8*a^2)/x^2/a/(a+(c*x^3)^(1/2)*b)^(1/2)","A"
2970,0,0,92,0.247000," ","int(x^17*(a+b*(c*x^3)^(3/2))^(1/2),x)","\int \sqrt{a +\left(c \,x^{3}\right)^{\frac{3}{2}} b}\, x^{17}\, dx"," ",0,"int(x^17*(a+b*(c*x^3)^(3/2))^(1/2),x)","F"
2971,0,0,44,0.257000," ","int(x^8*(a+(c*x^3)^(3/2)*b)^(1/2),x)","\int \sqrt{a +\left(c \,x^{3}\right)^{\frac{3}{2}} b}\, x^{8}\, dx"," ",0,"int(x^8*(a+(c*x^3)^(3/2)*b)^(1/2),x)","F"
2972,0,0,39,0.230000," ","int((a+(c*x^3)^(3/2)*b)^(1/2)/x,x)","\int \frac{\sqrt{a +\left(c \,x^{3}\right)^{\frac{3}{2}} b}}{x}\, dx"," ",0,"int((a+(c*x^3)^(3/2)*b)^(1/2)/x,x)","F"
2973,0,0,77,0.238000," ","int((a+(c*x^3)^(3/2)*b)^(1/2)/x^10,x)","\int \frac{\sqrt{a +\left(c \,x^{3}\right)^{\frac{3}{2}} b}}{x^{10}}\, dx"," ",0,"int((a+(c*x^3)^(3/2)*b)^(1/2)/x^10,x)","F"
2974,1,495,470,0.013000," ","int(x^2*(a+(c*x^3)^(3/2)*b)^(1/2),x)","\frac{\frac{4 \sqrt{a +\left(c \,x^{3}\right)^{\frac{3}{2}} b}\, c \,x^{3}}{7}-\frac{4 i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\sqrt{c \,x^{3}}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{-\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{b}+\sqrt{c \,x^{3}}}{-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}}}\, \sqrt{-\frac{i \left(\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\sqrt{c \,x^{3}}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}\, \left(\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) \EllipticE \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\sqrt{c \,x^{3}}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)+\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(\frac{\left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}-\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\sqrt{c \,x^{3}}\right) \sqrt{3}\, b}{\left(-a \,b^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}+\frac{i \sqrt{3}\, \left(-a \,b^{2}\right)^{\frac{1}{3}}}{2 b}\right) b}}\right)}{b}\right) a}{7 \sqrt{a +\left(c \,x^{3}\right)^{\frac{3}{2}} b}\, b}}{3 c}"," ",0,"1/3/c*(4/7*c*x^3*(a+(c*x^3)^(3/2)*b)^(1/2)-4/7*I*a*3^(1/2)*(-a*b^2)^(1/3)/b*(I*((c*x^3)^(1/2)+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)*b/(-a*b^2)^(1/3))^(1/2)*(((c*x^3)^(1/2)-(-a*b^2)^(1/3)/b)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b))^(1/2)*(-I*((c*x^3)^(1/2)+1/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)*b/(-a*b^2)^(1/3))^(1/2)/(a+(c*x^3)^(3/2)*b)^(1/2)*((-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*EllipticE(1/3*3^(1/2)*(I*((c*x^3)^(1/2)+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)*b/(-a*b^2)^(1/3))^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))+(-a*b^2)^(1/3)/b*EllipticF(1/3*3^(1/2)*(I*((c*x^3)^(1/2)+1/2*(-a*b^2)^(1/3)/b-1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)*3^(1/2)*b/(-a*b^2)^(1/3))^(1/2),(I*3^(1/2)*(-a*b^2)^(1/3)/(-3/2*(-a*b^2)^(1/3)/b+1/2*I*3^(1/2)*(-a*b^2)^(1/3)/b)/b)^(1/2))))","A"
2975,0,0,134,0.232000," ","int(x^9*(a+(c*x^3)^(3/2)*b)^(1/2),x)","\int \sqrt{a +\left(c \,x^{3}\right)^{\frac{3}{2}} b}\, x^{9}\, dx"," ",0,"int(x^9*(a+(c*x^3)^(3/2)*b)^(1/2),x)","F"
2976,0,0,69,0.231000," ","int((a+(c*x^3)^(3/2)*b)^(1/2),x)","\int \sqrt{a +\left(c \,x^{3}\right)^{\frac{3}{2}} b}\, dx"," ",0,"int((a+(c*x^3)^(3/2)*b)^(1/2),x)","F"
2977,0,0,109,0.228000," ","int((a+(c*x^3)^(3/2)*b)^(1/2)/x^9,x)","\int \frac{\sqrt{a +\left(c \,x^{3}\right)^{\frac{3}{2}} b}}{x^{9}}\, dx"," ",0,"int((a+(c*x^3)^(3/2)*b)^(1/2)/x^9,x)","F"
2978,0,0,68,0.232000," ","int((d*x)^m*(a+(c*x^3)^(3/2)*b)^(1/2),x)","\int \sqrt{a +\left(c \,x^{3}\right)^{\frac{3}{2}} b}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+(c*x^3)^(3/2)*b)^(1/2),x)","F"
2979,0,0,68,0.231000," ","int((d*x)^m*(a+(c*x^3)^(1/2)*b)^(1/2),x)","\int \sqrt{a +\sqrt{c \,x^{3}}\, b}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+(c*x^3)^(1/2)*b)^(1/2),x)","F"
2980,0,0,68,0.231000," ","int((d*x)^m*(a+b/(c*x^3)^(1/2))^(1/2),x)","\int \sqrt{a +\frac{b}{\sqrt{c \,x^{3}}}}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+b/(c*x^3)^(1/2))^(1/2),x)","F"
2981,0,0,86,0.228000," ","int((d*x)^m*(a+b/(c*x^3)^(3/2))^(1/2),x)","\int \sqrt{a +\frac{b}{\left(c \,x^{3}\right)^{\frac{3}{2}}}}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+b/(c*x^3)^(3/2))^(1/2),x)","F"
2982,1,211,131,0.030000," ","int(x*(a+b*(c/x)^(1/2))^(1/2),x)","\frac{\sqrt{a +\sqrt{\frac{c}{x}}\, b}\, \left(-15 a \,b^{4} c^{2} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+60 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, a^{\frac{5}{2}} b^{2} c \sqrt{x}+30 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \left(\frac{c}{x}\right)^{\frac{3}{2}} a^{\frac{3}{2}} b^{3} x^{\frac{3}{2}}+96 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} a^{\frac{7}{2}} \sqrt{x}-80 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} \sqrt{\frac{c}{x}}\, a^{\frac{5}{2}} b \sqrt{x}\right) \sqrt{x}}{192 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, a^{\frac{9}{2}}}"," ",0,"1/192*(a+b*(c/x)^(1/2))^(1/2)*x^(1/2)*(30*a^(3/2)*(a*x+b*(c/x)^(1/2)*x)^(1/2)*(c/x)^(3/2)*x^(3/2)*b^3-15*c^2*ln(1/2*(b*(c/x)^(1/2)*x^(1/2)+2*(a*x+b*(c/x)^(1/2)*x)^(1/2)*a^(1/2)+2*a*x^(1/2))/a^(1/2))*a*b^4+60*c*a^(5/2)*(a*x+b*(c/x)^(1/2)*x)^(1/2)*x^(1/2)*b^2-80*a^(5/2)*(a*x+b*(c/x)^(1/2)*x)^(3/2)*(c/x)^(1/2)*x^(1/2)*b+96*x^(1/2)*(a*x+b*(c/x)^(1/2)*x)^(3/2)*a^(7/2))/(x*(a+b*(c/x)^(1/2)))^(1/2)/a^(9/2)","A"
2983,1,147,70,0.022000," ","int((a+(c/x)^(1/2)*b)^(1/2),x)","\frac{\sqrt{a +\sqrt{\frac{c}{x}}\, b}\, \left(-a \,b^{2} c \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+4 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, a^{\frac{5}{2}} \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \sqrt{\frac{c}{x}}\, a^{\frac{3}{2}} b \sqrt{x}\right) \sqrt{x}}{4 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, a^{\frac{5}{2}}}"," ",0,"1/4*(a+(c/x)^(1/2)*b)^(1/2)*x^(1/2)*(2*a^(3/2)*(a*x+(c/x)^(1/2)*b*x)^(1/2)*(c/x)^(1/2)*x^(1/2)*b-b^2*c*ln(1/2*(2*a*x^(1/2)+(c/x)^(1/2)*b*x^(1/2)+2*(a*x+(c/x)^(1/2)*b*x)^(1/2)*a^(1/2))/a^(1/2))*a+4*a^(5/2)*(a*x+(c/x)^(1/2)*b*x)^(1/2)*x^(1/2))/((a+(c/x)^(1/2)*b)*x)^(1/2)/a^(5/2)","B"
2984,1,150,39,0.023000," ","int((a+(c/x)^(1/2)*b)^(1/2)/x,x)","\frac{2 \sqrt{a +\sqrt{\frac{c}{x}}\, b}\, \left(\sqrt{\frac{c}{x}}\, a b \,x^{\frac{3}{2}} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+2 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, a^{\frac{3}{2}} x -2 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} \sqrt{a}\right)}{\sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \sqrt{\frac{c}{x}}\, \sqrt{a}\, b x}"," ",0,"2*(a+(c/x)^(1/2)*b)^(1/2)*(ln(1/2*(2*a*x^(1/2)+(c/x)^(1/2)*b*x^(1/2)+2*(a*x+(c/x)^(1/2)*b*x)^(1/2)*a^(1/2))/a^(1/2))*(c/x)^(1/2)*x^(3/2)*a*b+2*a^(3/2)*(a*x+(c/x)^(1/2)*b*x)^(1/2)*x-2*(a*x+(c/x)^(1/2)*b*x)^(3/2)*a^(1/2))/x/((a+(c/x)^(1/2)*b)*x)^(1/2)/b/(c/x)^(1/2)/a^(1/2)","B"
2985,1,70,44,0.023000," ","int((a+(c/x)^(1/2)*b)^(1/2)/x^2,x)","-\frac{4 \sqrt{a +\sqrt{\frac{c}{x}}\, b}\, \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} \left(-2 a +3 \sqrt{\frac{c}{x}}\, b \right)}{15 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, b^{2} c x}"," ",0,"-4/15*(a+(c/x)^(1/2)*b)^(1/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)/c/x*(3*(c/x)^(1/2)*b-2*a)/((a+(c/x)^(1/2)*b)*x)^(1/2)/b^2","A"
2986,1,97,92,0.020000," ","int((a+(c/x)^(1/2)*b)^(1/2)/x^3,x)","-\frac{4 \sqrt{a +\sqrt{\frac{c}{x}}\, b}\, \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} \left(-16 a^{3} x +24 \sqrt{\frac{c}{x}}\, a^{2} b x -30 a \,b^{2} c +35 \left(\frac{c}{x}\right)^{\frac{3}{2}} b^{3} x \right)}{315 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, b^{4} c^{2} x^{2}}"," ",0,"-4/315*(a+(c/x)^(1/2)*b)^(1/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)*(35*x*(c/x)^(3/2)*b^3+24*x*(c/x)^(1/2)*a^2*b-16*a^3*x-30*a*b^2*c)/c^2/x^2/((a+(c/x)^(1/2)*b)*x)^(1/2)/b^4","A"
2987,1,133,140,0.025000," ","int((a+(c/x)^(1/2)*b)^(1/2)/x^4,x)","-\frac{4 \sqrt{a +\sqrt{\frac{c}{x}}\, b}\, \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} \left(-256 a^{5} x^{2}+384 \sqrt{\frac{c}{x}}\, a^{4} b \,x^{2}-480 a^{3} b^{2} c x +560 \left(\frac{c}{x}\right)^{\frac{3}{2}} a^{2} b^{3} x^{2}-630 a \,b^{4} c^{2}+693 \left(\frac{c}{x}\right)^{\frac{5}{2}} b^{5} x^{2}\right)}{9009 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, b^{6} c^{3} x^{3}}"," ",0,"-4/9009*(a+(c/x)^(1/2)*b)^(1/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)*(693*x^2*(c/x)^(5/2)*b^5+560*x^2*(c/x)^(3/2)*a^2*b^3+384*x^2*(c/x)^(1/2)*a^4*b-256*a^5*x^2-480*c*x*a^3*b^2-630*c^2*a*b^4)/c^3/x^3/((a+(c/x)^(1/2)*b)*x)^(1/2)/b^6","A"
2988,1,298,134,0.047000," ","int(x/(a+(c/x)^(1/2)*b)^(1/2),x)","-\frac{\sqrt{a +\sqrt{\frac{c}{x}}\, b}\, \left(-192 a \,b^{4} c^{2} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+87 a \,b^{4} c^{2} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-348 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, a^{\frac{5}{2}} b^{2} c \sqrt{x}+384 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \left(\frac{c}{x}\right)^{\frac{3}{2}} a^{\frac{3}{2}} b^{3} x^{\frac{3}{2}}-174 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \left(\frac{c}{x}\right)^{\frac{3}{2}} a^{\frac{3}{2}} b^{3} x^{\frac{3}{2}}-96 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} a^{\frac{7}{2}} \sqrt{x}+208 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} \sqrt{\frac{c}{x}}\, a^{\frac{5}{2}} b \sqrt{x}\right) \sqrt{x}}{192 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, a^{\frac{11}{2}}}"," ",0,"-1/192*(a+(c/x)^(1/2)*b)^(1/2)*x^(1/2)*(384*((a+(c/x)^(1/2)*b)*x)^(1/2)*a^(3/2)*(c/x)^(3/2)*x^(3/2)*b^3-174*(a*x+(c/x)^(1/2)*b*x)^(1/2)*(c/x)^(3/2)*a^(3/2)*b^3*x^(3/2)+208*(a*x+(c/x)^(1/2)*b*x)^(3/2)*(c/x)^(1/2)*a^(5/2)*b*x^(1/2)-96*(a*x+(c/x)^(1/2)*b*x)^(3/2)*a^(7/2)*x^(1/2)-348*(a*x+(c/x)^(1/2)*b*x)^(1/2)*a^(5/2)*b^2*c*x^(1/2)-192*ln(1/2*((c/x)^(1/2)*b*x^(1/2)+2*((a+(c/x)^(1/2)*b)*x)^(1/2)*a^(1/2)+2*a*x^(1/2))/a^(1/2))*c^2*a*b^4+87*a*b^4*c^2*ln(1/2*(2*a*x^(1/2)+(c/x)^(1/2)*b*x^(1/2)+2*(a*x+(c/x)^(1/2)*b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a+(c/x)^(1/2)*b)*x)^(1/2)/a^(11/2)","B"
2989,1,229,73,0.038000," ","int(1/(a+(c/x)^(1/2)*b)^(1/2),x)","-\frac{\sqrt{a +\sqrt{\frac{c}{x}}\, b}\, \left(-4 a \,b^{2} c \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+a \,b^{2} c \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \sqrt{a}}{2 \sqrt{a}}\right)-4 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, a^{\frac{5}{2}} \sqrt{x}+8 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \sqrt{\frac{c}{x}}\, a^{\frac{3}{2}} b \sqrt{x}-2 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \sqrt{\frac{c}{x}}\, a^{\frac{3}{2}} b \sqrt{x}\right) \sqrt{x}}{4 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, a^{\frac{7}{2}}}"," ",0,"-1/4*(a+(c/x)^(1/2)*b)^(1/2)*x^(1/2)*(8*((a+(c/x)^(1/2)*b)*x)^(1/2)*a^(3/2)*(c/x)^(1/2)*x^(1/2)*b-4*(a*x+(c/x)^(1/2)*b*x)^(1/2)*a^(5/2)*x^(1/2)-2*(a*x+(c/x)^(1/2)*b*x)^(1/2)*(c/x)^(1/2)*a^(3/2)*b*x^(1/2)-4*c*a*ln(1/2*(2*a*x^(1/2)+(c/x)^(1/2)*b*x^(1/2)+2*((a+(c/x)^(1/2)*b)*x)^(1/2)*a^(1/2))/a^(1/2))*b^2+a*b^2*c*ln(1/2*(2*a*x^(1/2)+(c/x)^(1/2)*b*x^(1/2)+2*(a*x+(c/x)^(1/2)*b*x)^(1/2)*a^(1/2))/a^(1/2)))/((a+(c/x)^(1/2)*b)*x)^(1/2)/a^(7/2)","B"
2990,1,200,23,0.043000," ","int(1/x/(a+(c/x)^(1/2)*b)^(1/2),x)","\frac{\sqrt{a +\sqrt{\frac{c}{x}}\, b}\, \left(\sqrt{\frac{c}{x}}\, b \sqrt{x}\, \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+\sqrt{\frac{c}{x}}\, b \sqrt{x}\, \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+2 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \sqrt{a}-2 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \sqrt{a}\right)}{\sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \sqrt{\frac{c}{x}}\, \sqrt{a}\, b}"," ",0,"(a+(c/x)^(1/2)*b)^(1/2)*(b*(c/x)^(1/2)*x^(1/2)*ln(1/2*(2*a*x^(1/2)+(c/x)^(1/2)*b*x^(1/2)+2*((a+(c/x)^(1/2)*b)*x)^(1/2)*a^(1/2))/a^(1/2))+b*(c/x)^(1/2)*x^(1/2)*ln(1/2*(2*a*x^(1/2)+(c/x)^(1/2)*b*x^(1/2)+2*(a*x+(c/x)^(1/2)*b*x)^(1/2)*a^(1/2))/a^(1/2))+2*(a*x+(c/x)^(1/2)*b*x)^(1/2)*a^(1/2)-2*((a+(c/x)^(1/2)*b)*x)^(1/2)*a^(1/2))/((a+(c/x)^(1/2)*b)*x)^(1/2)/b/(c/x)^(1/2)/a^(1/2)","B"
2991,1,274,44,0.045000," ","int(1/x^2/(a+(c/x)^(1/2)*b)^(1/2),x)","-\frac{\sqrt{a +\sqrt{\frac{c}{x}}\, b}\, \left(-3 \sqrt{\frac{c}{x}}\, a^{2} b \,x^{2} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+3 \sqrt{\frac{c}{x}}\, a^{2} b \,x^{2} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+6 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, a^{\frac{5}{2}} x^{\frac{3}{2}}+6 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, a^{\frac{5}{2}} x^{\frac{3}{2}}-12 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} a^{\frac{3}{2}} \sqrt{x}+4 \sqrt{\frac{c}{x}}\, \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} \sqrt{a}\, b \sqrt{x}\right)}{3 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \left(\frac{c}{x}\right)^{\frac{3}{2}} \sqrt{a}\, b^{3} x^{\frac{5}{2}}}"," ",0,"-1/3*(a+(c/x)^(1/2)*b)^(1/2)*(6*x^(3/2)*a^(5/2)*((a+(c/x)^(1/2)*b)*x)^(1/2)+6*x^(3/2)*a^(5/2)*(a*x+(c/x)^(1/2)*b*x)^(1/2)-12*x^(1/2)*a^(3/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)+4*x^(1/2)*a^(1/2)*(c/x)^(1/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)*b+3*(c/x)^(1/2)*ln(1/2*(2*a*x^(1/2)+(c/x)^(1/2)*b*x^(1/2)+2*(a*x+(c/x)^(1/2)*b*x)^(1/2)*a^(1/2))/a^(1/2))*x^2*a^2*b-3*(c/x)^(1/2)*ln(1/2*(2*a*x^(1/2)+(c/x)^(1/2)*b*x^(1/2)+2*((a+(c/x)^(1/2)*b)*x)^(1/2)*a^(1/2))/a^(1/2))*x^2*a^2*b)/x^(5/2)/((a+(c/x)^(1/2)*b)*x)^(1/2)/b^3/(c/x)^(3/2)/a^(1/2)","C"
2992,1,336,92,0.046000," ","int(1/x^3/(a+(c/x)^(1/2)*b)^(1/2),x)","-\frac{\sqrt{a +\sqrt{\frac{c}{x}}\, b}\, \left(-35 \sqrt{\frac{c}{x}}\, a^{4} b \,x^{3} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+35 \sqrt{\frac{c}{x}}\, a^{4} b \,x^{3} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+70 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, a^{\frac{9}{2}} x^{\frac{5}{2}}+70 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, a^{\frac{9}{2}} x^{\frac{5}{2}}-140 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} a^{\frac{7}{2}} x^{\frac{3}{2}}+76 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} \sqrt{\frac{c}{x}}\, a^{\frac{5}{2}} b \,x^{\frac{3}{2}}-44 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} a^{\frac{3}{2}} b^{2} c \sqrt{x}+20 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} \left(\frac{c}{x}\right)^{\frac{3}{2}} \sqrt{a}\, b^{3} x^{\frac{3}{2}}\right)}{35 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \left(\frac{c}{x}\right)^{\frac{5}{2}} \sqrt{a}\, b^{5} x^{\frac{9}{2}}}"," ",0,"-1/35*(a+(c/x)^(1/2)*b)^(1/2)*(70*x^(5/2)*(a*x+(c/x)^(1/2)*b*x)^(1/2)*a^(9/2)+70*x^(5/2)*a^(9/2)*((a+(c/x)^(1/2)*b)*x)^(1/2)-140*x^(3/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)*a^(7/2)+76*x^(3/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)*a^(5/2)*(c/x)^(1/2)*b+20*x^(3/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)*a^(1/2)*(c/x)^(3/2)*b^3-44*x^(1/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)*a^(3/2)*b^2*c-35*ln(1/2*(2*a*x^(1/2)+(c/x)^(1/2)*b*x^(1/2)+2*((a+(c/x)^(1/2)*b)*x)^(1/2)*a^(1/2))/a^(1/2))*(c/x)^(1/2)*x^3*a^4*b+35*ln(1/2*(2*a*x^(1/2)+(c/x)^(1/2)*b*x^(1/2)+2*(a*x+(c/x)^(1/2)*b*x)^(1/2)*a^(1/2))/a^(1/2))*(c/x)^(1/2)*x^3*a^4*b)/x^(9/2)/((a+(c/x)^(1/2)*b)*x)^(1/2)/b^5/(c/x)^(5/2)/a^(1/2)","C"
2993,1,400,140,0.056000," ","int(1/x^4/(a+(c/x)^(1/2)*b)^(1/2),x)","-\frac{\sqrt{a +\sqrt{\frac{c}{x}}\, b}\, \left(-693 \sqrt{\frac{c}{x}}\, a^{6} b \,x^{4} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \sqrt{a}}{2 \sqrt{a}}\right)+693 \sqrt{\frac{c}{x}}\, a^{6} b \,x^{4} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{c}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, \sqrt{a}}{2 \sqrt{a}}\right)+1386 \sqrt{a x +\sqrt{\frac{c}{x}}\, b x}\, a^{\frac{13}{2}} x^{\frac{7}{2}}+1386 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, a^{\frac{13}{2}} x^{\frac{7}{2}}-2772 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} a^{\frac{11}{2}} x^{\frac{5}{2}}+1748 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} \sqrt{\frac{c}{x}}\, a^{\frac{9}{2}} b \,x^{\frac{5}{2}}-1236 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} a^{\frac{7}{2}} b^{2} c \,x^{\frac{3}{2}}+852 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} \left(\frac{c}{x}\right)^{\frac{3}{2}} a^{\frac{5}{2}} b^{3} x^{\frac{5}{2}}-532 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} a^{\frac{3}{2}} b^{4} c^{2} \sqrt{x}+252 \left(a x +\sqrt{\frac{c}{x}}\, b x \right)^{\frac{3}{2}} \left(\frac{c}{x}\right)^{\frac{5}{2}} \sqrt{a}\, b^{5} x^{\frac{5}{2}}\right)}{693 \sqrt{\left(a +\sqrt{\frac{c}{x}}\, b \right) x}\, \left(\frac{c}{x}\right)^{\frac{7}{2}} \sqrt{a}\, b^{7} x^{\frac{13}{2}}}"," ",0,"-1/693*(a+(c/x)^(1/2)*b)^(1/2)*(1386*x^(7/2)*(a*x+(c/x)^(1/2)*b*x)^(1/2)*a^(13/2)+1386*x^(7/2)*((a+(c/x)^(1/2)*b)*x)^(1/2)*a^(13/2)+252*x^(5/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)*(c/x)^(5/2)*a^(1/2)*b^5+852*x^(5/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)*(c/x)^(3/2)*a^(5/2)*b^3+1748*x^(5/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)*(c/x)^(1/2)*a^(9/2)*b-2772*x^(5/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)*a^(11/2)-1236*x^(3/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)*a^(7/2)*b^2*c-532*x^(1/2)*(a*x+(c/x)^(1/2)*b*x)^(3/2)*a^(3/2)*b^4*c^2-693*ln(1/2*(2*a*x^(1/2)+(c/x)^(1/2)*b*x^(1/2)+2*((a+(c/x)^(1/2)*b)*x)^(1/2)*a^(1/2))/a^(1/2))*(c/x)^(1/2)*x^4*a^6*b+693*ln(1/2*(2*a*x^(1/2)+(c/x)^(1/2)*b*x^(1/2)+2*(a*x+(c/x)^(1/2)*b*x)^(1/2)*a^(1/2))/a^(1/2))*(c/x)^(1/2)*x^4*a^6*b)/x^(13/2)/((a+(c/x)^(1/2)*b)*x)^(1/2)/b^7/(c/x)^(7/2)/a^(1/2)","C"
2994,1,92,40,0.024000," ","int(1/(1+(1/x)^(1/2))^(1/2),x)","-\frac{\sqrt{1+\sqrt{\frac{1}{x}}}\, \left(-3 \ln \left(\frac{\sqrt{\frac{1}{x}}\, \sqrt{x}}{2}+\sqrt{x}+\sqrt{\sqrt{\frac{1}{x}}\, x +x}\right)+6 \sqrt{\sqrt{\frac{1}{x}}\, x +x}\, \sqrt{\frac{1}{x}}\, \sqrt{x}-4 \sqrt{\sqrt{\frac{1}{x}}\, x +x}\, \sqrt{x}\right) \sqrt{x}}{4 \sqrt{\left(1+\sqrt{\frac{1}{x}}\right) x}}"," ",0,"-1/4*(1+(1/x)^(1/2))^(1/2)*x^(1/2)*(6*((1/x)^(1/2)*x+x)^(1/2)*(1/x)^(1/2)*x^(1/2)-4*((1/x)^(1/2)*x+x)^(1/2)*x^(1/2)-3*ln(1/2*(1/x)^(1/2)*x^(1/2)+x^(1/2)+((1/x)^(1/2)*x+x)^(1/2)))/(x*(1+(1/x)^(1/2)))^(1/2)","B"
2995,0,0,86,0.236000," ","int((d*x)^m*(a+b*(c/x)^(3/2))^(1/2),x)","\int \sqrt{a +\left(\frac{c}{x}\right)^{\frac{3}{2}} b}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+b*(c/x)^(3/2))^(1/2),x)","F"
2996,0,0,48,0.235000," ","int((d*x)^m*(a+(c/x)^(1/2)*b)^(1/2),x)","\int \sqrt{a +\sqrt{\frac{c}{x}}\, b}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+(c/x)^(1/2)*b)^(1/2),x)","F"
2997,0,0,68,0.227000," ","int((d*x)^m*(a+b/(c/x)^(1/2))^(1/2),x)","\int \sqrt{a +\frac{b}{\sqrt{\frac{c}{x}}}}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+b/(c/x)^(1/2))^(1/2),x)","F"
2998,0,0,86,0.233000," ","int((d*x)^m*(a+b/(c/x)^(3/2))^(1/2),x)","\int \sqrt{a +\frac{b}{\left(\frac{c}{x}\right)^{\frac{3}{2}}}}\, \left(d x \right)^{m}\, dx"," ",0,"int((d*x)^m*(a+b/(c/x)^(3/2))^(1/2),x)","F"
2999,0,0,86,0.230000," ","int((d*x)^m/(a+(c/x)^(3/2)*b)^(1/2),x)","\int \frac{\left(d x \right)^{m}}{\sqrt{a +\left(\frac{c}{x}\right)^{\frac{3}{2}} b}}\, dx"," ",0,"int((d*x)^m/(a+(c/x)^(3/2)*b)^(1/2),x)","F"
3000,0,0,48,0.247000," ","int((d*x)^m/(a+(c/x)^(1/2)*b)^(1/2),x)","\int \frac{\left(d x \right)^{m}}{\sqrt{a +\sqrt{\frac{c}{x}}\, b}}\, dx"," ",0,"int((d*x)^m/(a+(c/x)^(1/2)*b)^(1/2),x)","F"
3001,0,0,68,0.233000," ","int((d*x)^m/(a+1/(c/x)^(1/2)*b)^(1/2),x)","\int \frac{\left(d x \right)^{m}}{\sqrt{a +\frac{b}{\sqrt{\frac{c}{x}}}}}\, dx"," ",0,"int((d*x)^m/(a+1/(c/x)^(1/2)*b)^(1/2),x)","F"
3002,0,0,86,0.229000," ","int((d*x)^m/(a+1/(c/x)^(3/2)*b)^(1/2),x)","\int \frac{\left(d x \right)^{m}}{\sqrt{a +\frac{b}{\left(\frac{c}{x}\right)^{\frac{3}{2}}}}}\, dx"," ",0,"int((d*x)^m/(a+1/(c/x)^(3/2)*b)^(1/2),x)","F"
3003,1,22,17,0.023000," ","int(a+b*(c*x^n)^(1/n),x)","\frac{b x \,{\mathrm e}^{\frac{\ln \left(c \,{\mathrm e}^{n \ln \left(x \right)}\right)}{n}}}{2}+a x"," ",0,"a*x+1/2*x*b*exp(1/n*ln(c*exp(n*ln(x))))","A"
3004,0,0,32,0.207000," ","int((a+b*(c*x^n)^(1/n))^2,x)","\int \left(b \left(c \,x^{n}\right)^{\frac{1}{n}}+a \right)^{2}\, dx"," ",0,"int((a+b*(c*x^n)^(1/n))^2,x)","F"
3005,0,0,32,0.204000," ","int((b*(c*x^n)^(1/n)+a)^3,x)","\int \left(b \left(c \,x^{n}\right)^{\frac{1}{n}}+a \right)^{3}\, dx"," ",0,"int((b*(c*x^n)^(1/n)+a)^3,x)","F"
3006,1,387,103,0.197000," ","int(x^3/(b*(c*x^n)^(1/n)+a),x)","-\frac{a^{3} x^{4} c^{-\frac{3}{n}} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{1}{n}} {\mathrm e}^{-\frac{2 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}} \ln \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)}{b^{4}}+\frac{a^{2} x^{4} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b^{3}}-\frac{a \,x^{4} c^{-\frac{2}{n}} \left(x^{n}\right)^{-\frac{2}{n}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{2 b^{2}}+\frac{x^{4} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{3 b}"," ",0,"1/3/((x^n)^(1/n))/(c^(1/n))*x^4*exp(-1/2*I*Pi*csgn(I*c*x^n)*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n)/b-1/2/((x^n)^(1/n))^2/(c^(1/n))^2*x^4*exp(-I*Pi*csgn(I*c*x^n)*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n)/b^2*a+1/((x^n)^(1/n))^3/(c^(1/n))^3*x^4*exp(-3/2*I*Pi*csgn(I*c*x^n)*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n)/b^3*a^2-ln(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*csgn(I*c*x^n)*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n)+a)/(c^(1/n))/((x^n)^(1/n))*a^3*(x^n)^(-3/n)*c^(-3/n)*x^4/b^4*exp(-2*I*Pi*csgn(I*c*x^n)*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n)","C"
3007,1,310,79,0.115000," ","int(x^2/(b*(c*x^n)^(1/n)+a),x)","\frac{a^{2} x^{3} c^{-\frac{2}{n}} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{2}{n}} \left(x^{n}\right)^{-\frac{1}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)}{b^{3}}-\frac{a \,x^{3} c^{-\frac{2}{n}} \left(x^{n}\right)^{-\frac{2}{n}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{b^{2}}+\frac{x^{3} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{2 b}"," ",0,"1/2/(c^(1/n))/((x^n)^(1/n))*x^3*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b-1/(c^(1/n))^2/((x^n)^(1/n))^2*x^3*exp(-I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b^2*a+ln(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)/((x^n)^(1/n))/(c^(1/n))*a^2*c^(-2/n)*(x^n)^(-2/n)/b^3*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))","C"
3008,1,233,55,0.117000," ","int(x/(b*(c*x^n)^(1/n)+a),x)","-\frac{a \,x^{2} \left(c^{-\frac{1}{n}}\right)^{2} \left(\left(x^{n}\right)^{-\frac{1}{n}}\right)^{2} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}} \ln \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)}{b^{2}}+\frac{x^{2} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}"," ",0,"1/(c^(1/n))/((x^n)^(1/n))*x^2*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b-ln(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)/((x^n)^(1/n))/(c^(1/n))*a*c^(-1/n)*(x^n)^(-1/n)/b^2*x^2*exp(-I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))","C"
3009,1,139,30,0.060000," ","int(1/(b*(c*x^n)^(1/n)+a),x)","\frac{x \,c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)}{b}"," ",0,"ln(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)/(c^(1/n))/((x^n)^(1/n))*x*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b","C"
3010,1,35,26,0.016000," ","int(1/x/(b*(c*x^n)^(1/n)+a),x)","\frac{\ln \left(\left(c \,x^{n}\right)^{\frac{1}{n}}\right)}{a}-\frac{\ln \left(b \left(c \,x^{n}\right)^{\frac{1}{n}}+a \right)}{a}"," ",0,"-ln(b*(c*x^n)^(1/n)+a)/a+1/a*ln((c*x^n)^(1/n))","A"
3011,1,220,60,0.160000," ","int(1/x^2/(b*(c*x^n)^(1/n)+a),x)","-\frac{b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(x \right)}{a^{2} x}+\frac{b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)}{a^{2} x}-\frac{1}{a x}"," ",0,"ln(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)*b/x*c^(1/n)*(x^n)^(1/n)/a^2*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))-1/a/x-1/a^2*b/x*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))*ln(x)","C"
3012,1,302,85,0.180000," ","int(1/x^3/(b*(c*x^n)^(1/n)+a),x)","\frac{b^{2} c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}} \ln \left(x \right)}{a^{3} x^{2}}-\frac{b^{2} c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}} \ln \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)}{a^{3} x^{2}}+\frac{b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{a^{2} x^{2}}-\frac{1}{2 a \,x^{2}}"," ",0,"-ln(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)*b^2/x^2*((x^n)^(1/n))^2*(c^(1/n))^2/a^3*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))-1/2/a/x^2+1/a^2*b/x^2*(x^n)^(1/n)*c^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+1/a^3/x^2*(x^n)^(2/n)*c^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))*b^2*ln(x)","C"
3013,1,463,120,0.128000," ","int(x^3/(b*(c*x^n)^(1/n)+a)^2,x)","\frac{3 a^{2} x^{4} c^{-\frac{3}{n}} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{1}{n}} {\mathrm e}^{-\frac{2 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}} \ln \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)}{b^{4}}-\frac{3 a \,x^{4} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b^{3}}-\frac{x^{4} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{a b}+\frac{3 x^{4} c^{-\frac{2}{n}} \left(x^{n}\right)^{-\frac{2}{n}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{2 b^{2}}+\frac{x^{4}}{\left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right) a}"," ",0,"1/a*x^4/(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)-1/a/((x^n)^(1/n))/(c^(1/n))*x^4*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b+3/2/((x^n)^(1/n))^2/(c^(1/n))^2*x^4*exp(-I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b^2-3*a/((x^n)^(1/n))^3/(c^(1/n))^3*x^4*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b^3+3*a^2*ln(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)/(c^(1/n))/((x^n)^(1/n))*(x^n)^(-3/n)*c^(-3/n)*x^4/b^4*exp(-2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))","C"
3014,1,386,96,0.133000," ","int(x^2/(b*(c*x^n)^(1/n)+a)^2,x)","-\frac{2 a \,x^{3} c^{-\frac{2}{n}} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{2}{n}} \left(x^{n}\right)^{-\frac{1}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)}{b^{3}}-\frac{x^{3} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{a b}+\frac{2 x^{3} c^{-\frac{2}{n}} \left(x^{n}\right)^{-\frac{2}{n}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{b^{2}}+\frac{x^{3}}{\left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right) a}"," ",0,"1/a*x^3/(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)-1/a/(c^(1/n))/((x^n)^(1/n))*x^3*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b+2/(c^(1/n))^2/((x^n)^(1/n))^2*x^3*exp(-I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b^2-2*a*ln(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)/((x^n)^(1/n))/(c^(1/n))*c^(-2/n)*(x^n)^(-2/n)/b^3*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))","C"
3015,1,310,71,0.113000," ","int(x/(b*(c*x^n)^(1/n)+a)^2,x)","\frac{x^{2} \left(c^{-\frac{1}{n}}\right)^{2} \left(\left(x^{n}\right)^{-\frac{1}{n}}\right)^{2} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}} \ln \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)}{b^{2}}-\frac{x^{2} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{a b}+\frac{x^{2}}{\left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right) a}"," ",0,"1/a*x^2/(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)-1/a/(c^(1/n))/((x^n)^(1/n))*x^2*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b+ln(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)/((x^n)^(1/n))/(c^(1/n))*c^(-1/n)*(x^n)^(-1/n)/b^2*x^2*exp(-I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))","C"
3016,1,74,20,0.026000," ","int(1/(b*(c*x^n)^(1/n)+a)^2,x)","\frac{x}{\left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right) a}"," ",0,"1/a*x/(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)","C"
3017,1,54,45,0.009000," ","int(1/x/(b*(c*x^n)^(1/n)+a)^2,x)","\frac{1}{\left(b \left(c \,x^{n}\right)^{\frac{1}{n}}+a \right) a}+\frac{\ln \left(\left(c \,x^{n}\right)^{\frac{1}{n}}\right)}{a^{2}}-\frac{\ln \left(b \left(c \,x^{n}\right)^{\frac{1}{n}}+a \right)}{a^{2}}"," ",0,"-ln(b*(c*x^n)^(1/n)+a)/a^2+1/a/(b*(c*x^n)^(1/n)+a)+1/a^2*ln((c*x^n)^(1/n))","A"
3018,1,296,94,0.143000," ","int(1/x^2/(b*(c*x^n)^(1/n)+a)^2,x)","-\frac{2 b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(x \right)}{a^{3} x}+\frac{2 b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)}{a^{3} x}+\frac{1}{\left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right) a x}-\frac{2}{a^{2} x}"," ",0,"1/a/x/(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)-2/a^3*b/x*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))*ln(x)+2/a^3*b/x*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))*ln(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)-2/a^2/x","C"
3019,1,379,123,0.161000," ","int(1/x^3/(b*(c*x^n)^(1/n)+a)^2,x)","\frac{3 b^{2} c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}} \ln \left(x \right)}{a^{4} x^{2}}-\frac{3 b^{2} c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}} \ln \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)}{a^{4} x^{2}}+\frac{3 b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{a^{3} x^{2}}+\frac{1}{\left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right) a \,x^{2}}-\frac{3}{2 a^{2} x^{2}}"," ",0,"1/a/x^2/(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)-3/a^4*ln(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)*b^2/x^2*((x^n)^(1/n))^2*(c^(1/n))^2*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))-3/2/a^2/x^2+3/a^3*b/x^2*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+3/a^4*b^2/x^2*c^(2/n)*(x^n)^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))*ln(x)","C"
3020,1,143,32,0.030000," ","int(1/(b*(c*x^n)^(1/n)+a)^3,x)","\frac{\left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+2 a \right) x}{2 \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{2} a^{2}}"," ",0,"1/2*x*(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+2*a)/a^2/(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^2","C"
3021,1,63,52,0.044000," ","int(x/(1+(x^n)^(1/n))^2,x)","x^{2} \left(\left(x^{n}\right)^{-\frac{1}{n}}\right)^{2} \ln \left(\left(x^{n}\right)^{\frac{1}{n}}+1\right)-x^{2} \left(x^{n}\right)^{-\frac{1}{n}}+\frac{x^{2}}{\left(x^{n}\right)^{\frac{1}{n}}+1}"," ",0,"x^2/(1+(x^n)^(1/n))-1/((x^n)^(1/n))*x^2+x^2*(x^n)^(-1/n)/((x^n)^(1/n))*ln(1+(x^n)^(1/n))","A"
3022,1,1127,179,0.368000," ","int(x^3*(b*(c*x^n)^(1/n)+a)^p,x)","\frac{6 a^{2} p \,x^{4} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{\left(p +1\right) \left(p +4\right) \left(p +2\right) \left(p +3\right) b^{3}}-\frac{3 a p \,x^{4} c^{-\frac{2}{n}} \left(x^{n}\right)^{-\frac{2}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{\left(p +1\right) \left(p +4\right) \left(p +3\right) b^{2}}-\frac{6 a^{3} x^{4} c^{-\frac{4}{n}} \left(x^{n}\right)^{-\frac{4}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{2 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{\left(p +1\right) \left(p +3\right) \left(p +2\right) \left(p +4\right) b^{4}}+\frac{6 a^{2} x^{4} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{\left(p +1\right) \left(p +4\right) \left(p +2\right) \left(p +3\right) b^{3}}-\frac{3 a \,x^{4} c^{-\frac{2}{n}} \left(x^{n}\right)^{-\frac{2}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{\left(p +1\right) \left(p +4\right) \left(p +3\right) b^{2}}+\frac{x^{4} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{\left(p +1\right) b}-\frac{3 x^{4} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{\left(p +1\right) \left(p +4\right) b}"," ",0,"(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/(c^(1/n))/((x^n)^(1/n))*x^4*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b/(p+1)-3/b/(p+1)*(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/(p+4)*x^4/((x^n)^(1/n))/(c^(1/n))*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))-3/b^2/(p+1)*(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/(p+4)/(p+3)*a/(c^(1/n))^2/((x^n)^(1/n))^2*x^4*exp(-I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))*p-3/b^2/(p+1)*(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/(p+4)/(p+3)*a/(c^(1/n))^2/((x^n)^(1/n))^2*x^4*exp(-I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))-6/b^4/(p+1)*(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/((x^n)^(1/n))^4*x^4/(c^(1/n))^4/(p+3)/(p+2)/(p+4)*a^3*exp(-2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+6/b^3/(p+1)*(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/(p+4)*a^2/(p+2)/((x^n)^(1/n))^3*x^4/(c^(1/n))^3/(p+3)*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))*p+6/b^3/(p+1)*(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/(p+4)*a^2/(p+2)/((x^n)^(1/n))^3*x^4/(c^(1/n))^3/(p+3)*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))","C"
3023,1,787,132,0.314000," ","int(x^2*(b*(c*x^n)^(1/n)+a)^p,x)","-\frac{2 a p \,x^{3} c^{-\frac{2}{n}} \left(x^{n}\right)^{-\frac{2}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{\left(p +1\right) \left(p +3\right) \left(p +2\right) b^{2}}+\frac{2 a^{2} x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{\left(p +1\right) \left(p +3\right) \left(p +2\right) b^{3}}-\frac{2 a \,x^{3} c^{-\frac{2}{n}} \left(x^{n}\right)^{-\frac{2}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{\left(p +1\right) \left(p +3\right) \left(p +2\right) b^{2}}+\frac{x^{3} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{\left(p +1\right) b}-\frac{2 x^{3} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{\left(p +1\right) \left(p +3\right) b}"," ",0,"(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/(c^(1/n))/((x^n)^(1/n))*x^3*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b/(p+1)-2/b/(p+1)*(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/(p+3)*x^3/((x^n)^(1/n))/(c^(1/n))*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))-2/b^2/(p+1)*(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/(p+3)/(p+2)*a/((x^n)^(1/n))^2*x^3/(c^(1/n))^2*exp(-I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))*p-2/b^2/(p+1)*(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/(p+3)/(p+2)*a/((x^n)^(1/n))^2*x^3/(c^(1/n))^2*exp(-I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+2/b^3/(p+1)*(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/(p+3)*a^2/((x^n)^(1/n))^3*x^3/(c^(1/n))^3/(p+2)*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))","C"
3024,1,304,87,0.183000," ","int(x*(b*(c*x^n)^(1/n)+a)^p,x)","\frac{x^{2} c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{\left(p +1\right) b}-\frac{x^{2} c^{-\frac{2}{n}} \left(x^{n}\right)^{-\frac{2}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +2} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{\left(p +1\right) \left(p +2\right) b^{2}}"," ",0,"(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/(c^(1/n))/((x^n)^(1/n))*x^2*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b/(p+1)-1/b^2/(p+1)/(c^(1/n))^2/((x^n)^(1/n))^2*x^2*exp(-I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))*(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+2)/(p+2)","C"
3025,1,147,38,0.163000," ","int((b*(c*x^n)^(1/n)+a)^p,x)","\frac{x \,c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p +1} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{\left(p +1\right) b}"," ",0,"(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^(p+1)/(c^(1/n))/((x^n)^(1/n))*x*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/b/(p+1)","C"
3026,-1,0,53,180.000000," ","int((b*(c*x^n)^(1/n)+a)^p/x,x)","\int \frac{\left(b \left(c \,x^{n}\right)^{\frac{1}{n}}+a \right)^{p}}{x}\, dx"," ",0,"int((b*(c*x^n)^(1/n)+a)^p/x,x)","F"
3027,0,0,65,1.043000," ","int((b*(c*x^n)^(1/n)+a)^p/x^2,x)","\int \frac{\left(b \left(c \,x^{n}\right)^{\frac{1}{n}}+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*(c*x^n)^(1/n)+a)^p/x^2,x)","F"
3028,0,0,58,0.326000," ","int((a+b*(c*x^n)^(2/n))^3,x)","\int \left(b \left(c \,x^{n}\right)^{\frac{2}{n}}+a \right)^{3}\, dx"," ",0,"int((a+b*(c*x^n)^(2/n))^3,x)","F"
3029,0,0,39,0.313000," ","int((b*(c*x^n)^(2/n)+a)^2,x)","\int \left(b \left(c \,x^{n}\right)^{\frac{2}{n}}+a \right)^{2}\, dx"," ",0,"int((b*(c*x^n)^(2/n)+a)^2,x)","F"
3030,1,23,19,0.049000," ","int(b*(c*x^n)^(2/n)+a,x)","\frac{b x \,{\mathrm e}^{\frac{2 \ln \left(c \,{\mathrm e}^{n \ln \left(x \right)}\right)}{n}}}{3}+a x"," ",0,"a*x+1/3*x*b*exp(2/n*ln(c*exp(n*ln(x))))","A"
3031,1,222,36,0.467000," ","int(1/(b*(c*x^n)^(2/n)+a),x)","\frac{\arctan \left(\frac{b \,c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{\sqrt{\frac{a b \,c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{x^{2}}}\, x}\right)}{\sqrt{\frac{a b \,c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{x^{2}}}}"," ",0,"1/(a*b/x^2*(x^n)^(2/n)*c^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/2)*arctan(b/x*(x^n)^(2/n)*c^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/(a*b/x^2*(x^n)^(2/n)*c^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/2))","C"
3032,1,305,61,0.416000," ","int(1/(b*(c*x^n)^(2/n)+a)^2,x)","\frac{x}{2 \left(b \,c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}+a \right) a}+\frac{\arctan \left(\frac{b \,c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{\sqrt{\frac{a b \,c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{x^{2}}}\, x}\right)}{2 \sqrt{\frac{a b \,c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{x^{2}}}\, a}"," ",0,"1/2/a*x/(b*c^(2/n)*(x^n)^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)+1/2/a/(a*b/x^2*c^(2/n)*(x^n)^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/2)*arctan(1/(a*b/x^2*c^(2/n)*(x^n)^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/2)*b/x*c^(2/n)*(x^n)^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))","C"
3033,1,378,84,0.434000," ","int(1/(b*(c*x^n)^(2/n)+a)^3,x)","\frac{\left(3 b \,c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}+5 a \right) x}{8 \left(b \,c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}+a \right)^{2} a^{2}}+\frac{3 \arctan \left(\frac{b \,c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{\sqrt{\frac{a b \,c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{x^{2}}}\, x}\right)}{8 \sqrt{\frac{a b \,c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}}{x^{2}}}\, a^{2}}"," ",0,"1/8*x*(3*b*c^(2/n)*(x^n)^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+5*a)/a^2/(b*c^(2/n)*(x^n)^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^2+3/8/a^2/(a*b/x^2*c^(2/n)*(x^n)^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/2)*arctan(1/(a*b/x^2*c^(2/n)*(x^n)^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/2)*b/x*c^(2/n)*(x^n)^(2/n)*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))","C"
3034,1,29,16,0.048000," ","int(1/(1+4*(x^4)^(1/2)),x)","\frac{\arctan \left(2 \sqrt{\frac{\sqrt{x^{4}}}{x^{2}}}\, x \right)}{2 \sqrt{\frac{\sqrt{x^{4}}}{x^{2}}}}"," ",0,"1/2/((x^4)^(1/2)/x^2)^(1/2)*arctan(2*((x^4)^(1/2)/x^2)^(1/2)*x)","A"
3035,1,29,16,0.043000," ","int(1/(1-4*(x^4)^(1/2)),x)","\frac{\arctanh \left(2 \sqrt{\frac{\sqrt{x^{4}}}{x^{2}}}\, x \right)}{2 \sqrt{\frac{\sqrt{x^{4}}}{x^{2}}}}"," ",0,"1/2/((x^4)^(1/2)/x^2)^(1/2)*arctanh(2*((x^4)^(1/2)/x^2)^(1/2)*x)","A"
3036,1,17,16,0.329000," ","int(1/(1+4*(x^6)^(1/3)),x)","\frac{x \arctan \left(2 \left(x^{6}\right)^{\frac{1}{6}}\right)}{2 \left(x^{6}\right)^{\frac{1}{6}}}"," ",0,"1/2*x*arctan(2*(x^6)^(1/6))/(x^6)^(1/6)","A"
3037,1,17,16,0.319000," ","int(1/(1-4*(x^6)^(1/3)),x)","\frac{x \arctanh \left(2 \left(x^{6}\right)^{\frac{1}{6}}\right)}{2 \left(x^{6}\right)^{\frac{1}{6}}}"," ",0,"1/2*x*arctanh(2*(x^6)^(1/6))/(x^6)^(1/6)","A"
3038,1,42,30,0.165000," ","int(1/(1+4*(x^(2*n))^(1/n)),x)","\frac{x \left(x^{2 n}\right)^{-\frac{1}{2 n}} \arctan \left(2 \left(x^{2 n}\right)^{\frac{1}{n}} \left(x^{2 n}\right)^{-\frac{1}{2 n}}\right)}{2}"," ",0,"1/2*x/((x^(2*n))^(1/2/n))*arctan(2*(x^(2*n))^(1/n)/((x^(2*n))^(1/2/n)))","A"
3039,1,42,30,0.134000," ","int(1/(1-4*(x^(2*n))^(1/n)),x)","\frac{x \left(x^{2 n}\right)^{-\frac{1}{2 n}} \arctanh \left(2 \left(x^{2 n}\right)^{\frac{1}{n}} \left(x^{2 n}\right)^{-\frac{1}{2 n}}\right)}{2}"," ",0,"1/2*x/((x^(2*n))^(1/2/n))*arctanh(2*(x^(2*n))^(1/n)/((x^(2*n))^(1/2/n)))","A"
3040,0,0,59,0.335000," ","int((a+b*(c*x^n)^(3/n))^3,x)","\int \left(b \left(c \,x^{n}\right)^{\frac{3}{n}}+a \right)^{3}\, dx"," ",0,"int((a+b*(c*x^n)^(3/n))^3,x)","F"
3041,0,0,39,0.320000," ","int((b*(c*x^n)^(3/n)+a)^2,x)","\int \left(b \left(c \,x^{n}\right)^{\frac{3}{n}}+a \right)^{2}\, dx"," ",0,"int((b*(c*x^n)^(3/n)+a)^2,x)","F"
3042,1,23,19,0.050000," ","int(b*(c*x^n)^(3/n)+a,x)","\frac{b x \,{\mathrm e}^{\frac{3 \ln \left(c \,{\mathrm e}^{n \ln \left(x \right)}\right)}{n}}}{4}+a x"," ",0,"a*x+1/4*x*b*exp(3/n*ln(c*exp(n*ln(x))))","A"
3043,1,821,146,0.440000," ","int(1/(b*(c*x^n)^(3/n)+a),x)","\frac{\sqrt{3}\, x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right) {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{3 \left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{2}{3}} b}+\frac{x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(x +\left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{2}{3}} b}-\frac{x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(x^{2}-\left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{1}{3}} x +\left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{2}{3}} b}"," ",0,"1/3/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(2/3)*ln(x+(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/3))-1/6/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(2/3)*ln(x^2-(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/3)*x+(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(2/3))+1/3/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/3)*x-1))","C"
3044,1,908,169,0.385000," ","int(1/(b*(c*x^n)^(3/n)+a)^2,x)","\frac{2 \sqrt{3}\, x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right) {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{9 \left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{2}{3}} a b}+\frac{2 x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(x +\left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{2}{3}} a b}-\frac{x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(x^{2}-\left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{1}{3}} x +\left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{2}{3}} a b}+\frac{x}{3 \left(b \,c^{\frac{3}{n}} \left(x^{n}\right)^{\frac{3}{n}} {\mathrm e}^{\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right) a}"," ",0,"1/3/a*x/(b*(x^n)^(3/n)*c^(3/n)*exp(3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)+2/9/a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(2/3)*ln(x+(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/3))-1/9/a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(2/3)*ln(x^2-(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/3)*x+(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(2/3))+2/9/a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/3)*x-1))","C"
3045,1,981,192,0.395000," ","int(1/(b*(c*x^n)^(3/n)+a)^3,x)","\frac{5 \sqrt{3}\, x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right) {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{27 \left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{2}{3}} a^{2} b}+\frac{5 x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(x +\left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{1}{3}}\right)}{27 \left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{2}{3}} a^{2} b}-\frac{5 x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(x^{2}-\left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{1}{3}} x +\left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{2}{3}}\right)}{54 \left(\frac{a \,x^{3} c^{-\frac{3}{n}} \left(x^{n}\right)^{-\frac{3}{n}} {\mathrm e}^{-\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{b}\right)^{\frac{2}{3}} a^{2} b}+\frac{\left(5 b \,c^{\frac{3}{n}} \left(x^{n}\right)^{\frac{3}{n}} {\mathrm e}^{\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+8 a \right) x}{18 \left(b \,c^{\frac{3}{n}} \left(x^{n}\right)^{\frac{3}{n}} {\mathrm e}^{\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{2} a^{2}}"," ",0,"1/18*x*(5*b*c^(3/n)*(x^n)^(3/n)*exp(3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+8*a)/a^2/(b*c^(3/n)*(x^n)^(3/n)*exp(3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^2+5/27/a^2/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(2/3)*ln(x+(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/3))-5/54/a^2/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(2/3)*ln(x^2-(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/3)*x+(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(2/3))+5/27/a^2/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b/(c^(3/n))/((x^n)^(3/n))*x^3*exp(-3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))^(1/3)*x-1))","C"
3046,0,0,88,2.611000," ","int((d*x)^m*(a+b*(c*x^q)^n)^p,x)","\int \left(d x \right)^{m} \left(b \left(c \,x^{q}\right)^{n}+a \right)^{p}\, dx"," ",0,"int((d*x)^m*(a+b*(c*x^q)^n)^p,x)","F"
3047,0,0,73,0.895000," ","int(x^2*(b*(c*x^q)^n+a)^p,x)","\int x^{2} \left(b \left(c \,x^{q}\right)^{n}+a \right)^{p}\, dx"," ",0,"int(x^2*(b*(c*x^q)^n+a)^p,x)","F"
3048,0,0,73,0.820000," ","int(x*(b*(c*x^q)^n+a)^p,x)","\int x \left(b \left(c \,x^{q}\right)^{n}+a \right)^{p}\, dx"," ",0,"int(x*(b*(c*x^q)^n+a)^p,x)","F"
3049,0,0,68,0.937000," ","int((b*(c*x^q)^n+a)^p,x)","\int \left(b \left(c \,x^{q}\right)^{n}+a \right)^{p}\, dx"," ",0,"int((b*(c*x^q)^n+a)^p,x)","F"
3050,-1,0,55,180.000000," ","int((b*(c*x^q)^n+a)^p/x,x)","\int \frac{\left(b \left(c \,x^{q}\right)^{n}+a \right)^{p}}{x}\, dx"," ",0,"int((b*(c*x^q)^n+a)^p/x,x)","F"
3051,0,0,73,1.191000," ","int((b*(c*x^q)^n+a)^p/x^2,x)","\int \frac{\left(b \left(c \,x^{q}\right)^{n}+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*(c*x^q)^n+a)^p/x^2,x)","F"
3052,0,0,186,0.215000," ","int(x^m*(a+c/x+b*(d/x)^(1/2))^(1/2),x)","\int \sqrt{a +\sqrt{\frac{d}{x}}\, b +\frac{c}{x}}\, x^{m}\, dx"," ",0,"int(x^m*(a+c/x+b*(d/x)^(1/2))^(1/2),x)","F"
3053,1,655,283,0.187000," ","int(x^2*(a+(d/x)^(1/2)*b+c/x)^(1/2),x)","\frac{\sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \left(-315 a \,b^{6} d^{3} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)+2100 a^{2} b^{4} c \,d^{2} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)-3600 a^{3} b^{2} c^{2} d \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)+1260 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{5}{2}} b^{4} d^{2} \sqrt{x}+630 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{5}{2}} a^{\frac{3}{2}} b^{5} x^{\frac{5}{2}}+960 a^{4} c^{3} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)-3360 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{7}{2}} b^{2} c d \sqrt{x}-1680 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{3}{2}} a^{\frac{5}{2}} b^{3} c \,x^{\frac{3}{2}}+2560 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} a^{\frac{11}{2}} x^{\frac{3}{2}}-2304 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \sqrt{\frac{d}{x}}\, a^{\frac{9}{2}} b \,x^{\frac{3}{2}}+960 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{9}{2}} c^{2} \sqrt{x}+2016 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} a^{\frac{7}{2}} b^{2} d \sqrt{x}+480 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a^{\frac{7}{2}} b \,c^{2} \sqrt{x}-1680 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \left(\frac{d}{x}\right)^{\frac{3}{2}} a^{\frac{5}{2}} b^{3} x^{\frac{3}{2}}-1920 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} a^{\frac{9}{2}} c \sqrt{x}+3136 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \sqrt{\frac{d}{x}}\, a^{\frac{7}{2}} b c \sqrt{x}\right) \sqrt{x}}{7680 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{13}{2}}}"," ",0,"1/7680*((b*(d/x)^(1/2)*x+a*x+c)/x)^(1/2)*x^(1/2)*(630*(b*(d/x)^(1/2)*x+a*x+c)^(1/2)*a^(3/2)*(d/x)^(5/2)*x^(5/2)*b^5-1680*(b*(d/x)^(1/2)*x+a*x+c)^(3/2)*a^(5/2)*(d/x)^(3/2)*x^(3/2)*b^3-2304*(b*(d/x)^(1/2)*x+a*x+c)^(3/2)*a^(9/2)*(d/x)^(1/2)*x^(3/2)*b+2560*x^(3/2)*(b*(d/x)^(1/2)*x+a*x+c)^(3/2)*a^(11/2)-1680*(b*(d/x)^(1/2)*x+a*x+c)^(1/2)*a^(5/2)*(d/x)^(3/2)*x^(3/2)*b^3*c+3136*(b*(d/x)^(1/2)*x+a*x+c)^(3/2)*a^(7/2)*(d/x)^(1/2)*x^(1/2)*b*c-1920*(b*(d/x)^(1/2)*x+a*x+c)^(3/2)*a^(9/2)*x^(1/2)*c+2016*(b*(d/x)^(1/2)*x+a*x+c)^(3/2)*d*a^(7/2)*x^(1/2)*b^2+480*(b*(d/x)^(1/2)*x+a*x+c)^(1/2)*a^(7/2)*(d/x)^(1/2)*x^(1/2)*b*c^2+960*(b*(d/x)^(1/2)*x+a*x+c)^(1/2)*a^(9/2)*x^(1/2)*c^2-3360*(b*(d/x)^(1/2)*x+a*x+c)^(1/2)*d*a^(7/2)*x^(1/2)*b^2*c+1260*(b*(d/x)^(1/2)*x+a*x+c)^(1/2)*d^2*a^(5/2)*x^(1/2)*b^4-315*d^3*ln(1/2*(b*(d/x)^(1/2)*x^(1/2)+2*(b*(d/x)^(1/2)*x+a*x+c)^(1/2)*a^(1/2)+2*a*x^(1/2))/a^(1/2))*a*b^6+2100*d^2*ln(1/2*(b*(d/x)^(1/2)*x^(1/2)+2*(b*(d/x)^(1/2)*x+a*x+c)^(1/2)*a^(1/2)+2*a*x^(1/2))/a^(1/2))*a^2*b^4*c-3600*d*ln(1/2*(b*(d/x)^(1/2)*x^(1/2)+2*(b*(d/x)^(1/2)*x+a*x+c)^(1/2)*a^(1/2)+2*a*x^(1/2))/a^(1/2))*a^3*b^2*c^2+960*ln(1/2*(b*(d/x)^(1/2)*x^(1/2)+2*(b*(d/x)^(1/2)*x+a*x+c)^(1/2)*a^(1/2)+2*a*x^(1/2))/a^(1/2))*a^4*c^3)/(b*(d/x)^(1/2)*x+a*x+c)^(1/2)/a^(13/2)","B"
3054,1,398,173,0.164000," ","int(x*(a+(d/x)^(1/2)*b+c/x)^(1/2),x)","\frac{\sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \left(-15 a \,b^{4} d^{2} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)+72 a^{2} b^{2} c d \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)-48 a^{3} c^{2} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)+60 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{5}{2}} b^{2} d \sqrt{x}+30 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{3}{2}} a^{\frac{3}{2}} b^{3} x^{\frac{3}{2}}-48 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{7}{2}} c \sqrt{x}-24 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a^{\frac{5}{2}} b c \sqrt{x}+96 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} a^{\frac{7}{2}} \sqrt{x}-80 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \sqrt{\frac{d}{x}}\, a^{\frac{5}{2}} b \sqrt{x}\right) \sqrt{x}}{192 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{9}{2}}}"," ",0,"1/192*((a*x+(d/x)^(1/2)*b*x+c)/x)^(1/2)*x^(1/2)*(30*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(3/2)*(d/x)^(3/2)*x^(3/2)*b^3+60*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(5/2)*d*x^(1/2)*b^2-15*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2))*d^2*a*b^4+96*x^(1/2)*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*a^(7/2)-80*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*a^(5/2)*(d/x)^(1/2)*x^(1/2)*b-48*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(7/2)*x^(1/2)*c-24*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(5/2)*(d/x)^(1/2)*x^(1/2)*b*c+72*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2))*d*a^2*b^2*c-48*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2))*a^3*c^2)/(a*x+(d/x)^(1/2)*b*x+c)^(1/2)/a^(9/2)","B"
3055,1,213,91,0.145000," ","int((a+(d/x)^(1/2)*b+c/x)^(1/2),x)","\frac{\sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \left(-a \,b^{2} d \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)+4 a^{2} c \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)+4 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{5}{2}} \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a^{\frac{3}{2}} b \sqrt{x}\right) \sqrt{x}}{4 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{5}{2}}}"," ",0,"1/4*((a*x+(d/x)^(1/2)*b*x+c)/x)^(1/2)*x^(1/2)*(2*a^(3/2)*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(1/2)*x^(1/2)*b-ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2))*d*a*b^2+4*a^(5/2)*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*x^(1/2)+4*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2))*a^2*c)/a^(5/2)/(a*x+(d/x)^(1/2)*b*x+c)^(1/2)","B"
3056,1,237,113,0.155000," ","int((a+(d/x)^(1/2)*b+c/x)^(1/2)/x,x)","\frac{\sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \left(-\sqrt{\frac{d}{x}}\, a^{\frac{3}{2}} b \sqrt{c}\, x \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)+2 a^{2} c \sqrt{x}\, \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{5}{2}} x +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a^{\frac{3}{2}} b x -2 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} a^{\frac{3}{2}}\right)}{\sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{3}{2}} c}"," ",0,"((a*x+(d/x)^(1/2)*b*x+c)/x)^(1/2)*(-a^(3/2)*c^(1/2)*ln((2*c+(d/x)^(1/2)*b*x+2*c^(1/2)*(a*x+(d/x)^(1/2)*b*x+c)^(1/2))/x^(1/2))*(d/x)^(1/2)*x*b+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(3/2)*(d/x)^(1/2)*x*b+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(5/2)*x-2*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*a^(3/2)+2*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2))*x^(1/2)*a^2*c)/(a*x+(d/x)^(1/2)*b*x+c)^(1/2)/c/a^(3/2)","B"
3057,1,331,123,0.130000," ","int((a+(d/x)^(1/2)*b+c/x)^(1/2)/x^2,x)","\frac{\sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \left(-3 \left(\frac{d}{x}\right)^{\frac{3}{2}} b^{3} \sqrt{c}\, x^{3} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)+12 \sqrt{\frac{d}{x}}\, a b \,c^{\frac{3}{2}} x^{2} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)+6 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a \,b^{2} d \,x^{2}+6 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{3}{2}} b^{3} x^{3}-12 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a b c \,x^{2}-6 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} b^{2} d x +12 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \sqrt{\frac{d}{x}}\, b c x -16 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} c^{2}\right)}{24 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, c^{3} x}"," ",0,"1/24*((a*x+(d/x)^(1/2)*b*x+c)/x)^(1/2)/x*(-3*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*c^(1/2)*(d/x)^(3/2)*x^3*b^3+6*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(3/2)*x^3*b^3+6*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a*d*x^2*b^2+12*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*c^(3/2)*a*(d/x)^(1/2)*x^2*b-6*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*d*x*b^2-12*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a*(d/x)^(1/2)*x^2*b*c+12*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*(d/x)^(1/2)*x*b*c-16*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*c^2)/(a*x+(d/x)^(1/2)*b*x+c)^(1/2)/c^3","B"
3058,1,615,193,0.139000," ","int((a+(d/x)^(1/2)*b+c/x)^(1/2)/x^3,x)","-\frac{\sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \left(105 \left(\frac{d}{x}\right)^{\frac{5}{2}} b^{5} \sqrt{c}\, x^{5} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)-600 \left(\frac{d}{x}\right)^{\frac{3}{2}} a \,b^{3} c^{\frac{3}{2}} x^{4} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)-210 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a \,b^{4} d^{2} x^{3}-210 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{5}{2}} b^{5} x^{5}+720 \sqrt{\frac{d}{x}}\, a^{2} b \,c^{\frac{5}{2}} x^{3} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)+360 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{2} b^{2} c d \,x^{3}+780 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{3}{2}} a \,b^{3} c \,x^{4}-720 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a^{2} b \,c^{2} x^{3}+210 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} b^{4} d^{2} x^{2}-360 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} a \,b^{2} c d \,x^{2}-420 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \left(\frac{d}{x}\right)^{\frac{3}{2}} b^{3} c \,x^{3}+720 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \sqrt{\frac{d}{x}}\, a b \,c^{2} x^{2}+560 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} b^{2} c^{2} d x -512 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} a \,c^{3} x -672 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \sqrt{\frac{d}{x}}\, b \,c^{3} x +768 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} c^{4}\right)}{1920 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, c^{5} x^{2}}"," ",0,"-1/1920*((a*x+(d/x)^(1/2)*b*x+c)/x)^(1/2)/x^2*(105*c^(1/2)*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*(d/x)^(5/2)*x^5*b^5-210*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(5/2)*x^5*b^5-600*a*c^(3/2)*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*(d/x)^(3/2)*x^4*b^3-210*a*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*d^2*x^3*b^4+720*a^2*c^(5/2)*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*(d/x)^(1/2)*x^3*b+780*a*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(3/2)*x^4*b^3*c+360*a^2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*d*x^3*b^2*c+210*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*d^2*x^2*b^4-420*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*(d/x)^(3/2)*x^3*b^3*c-720*a^2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(1/2)*x^3*b*c^2-360*a*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*d*x^2*b^2*c+720*a*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*(d/x)^(1/2)*x^2*b*c^2+560*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*d*x*b^2*c^2-512*a*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*x*c^3-672*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*(d/x)^(1/2)*x*b*c^3+768*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*c^4)/(a*x+(d/x)^(1/2)*b*x+c)^(1/2)/c^5","B"
3059,1,979,317,0.149000," ","int((a+(d/x)^(1/2)*b+c/x)^(1/2)/x^4,x)","\frac{\sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \left(-3465 \left(\frac{d}{x}\right)^{\frac{7}{2}} b^{7} \sqrt{c}\, x^{7} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)+26460 \left(\frac{d}{x}\right)^{\frac{5}{2}} a \,b^{5} c^{\frac{3}{2}} x^{6} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)+6930 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a \,b^{6} d^{3} x^{4}+6930 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{7}{2}} b^{7} x^{7}-58800 \left(\frac{d}{x}\right)^{\frac{3}{2}} a^{2} b^{3} c^{\frac{5}{2}} x^{5} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)-25200 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{2} b^{4} c \,d^{2} x^{4}-39060 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{5}{2}} a \,b^{5} c \,x^{6}+33600 \sqrt{\frac{d}{x}}\, a^{3} b \,c^{\frac{7}{2}} x^{4} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)+16800 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{3} b^{2} c^{2} d \,x^{4}+67200 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{3}{2}} a^{2} b^{3} c^{2} x^{5}-6930 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} b^{6} d^{3} x^{3}-33600 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a^{3} b \,c^{3} x^{4}+25200 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} a \,b^{4} c \,d^{2} x^{3}+13860 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \left(\frac{d}{x}\right)^{\frac{5}{2}} b^{5} c \,x^{5}-16800 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} a^{2} b^{2} c^{2} d \,x^{3}-50400 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \left(\frac{d}{x}\right)^{\frac{3}{2}} a \,b^{3} c^{2} x^{4}-18480 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} b^{4} c^{2} d^{2} x^{2}+33600 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \sqrt{\frac{d}{x}}\, a^{2} b \,c^{3} x^{3}+52416 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} a \,b^{2} c^{3} d \,x^{2}+22176 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \left(\frac{d}{x}\right)^{\frac{3}{2}} b^{3} c^{3} x^{3}-16384 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} a^{2} c^{4} x^{2}-42624 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \sqrt{\frac{d}{x}}\, a b \,c^{4} x^{2}-25344 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} b^{2} c^{4} d x +24576 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} a \,c^{5} x +28160 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} \sqrt{\frac{d}{x}}\, b \,c^{5} x -30720 \left(a x +\sqrt{\frac{d}{x}}\, b x +c \right)^{\frac{3}{2}} c^{6}\right)}{107520 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, c^{7} x^{3}}"," ",0,"1/107520*((a*x+(d/x)^(1/2)*b*x+c)/x)^(1/2)/x^3*(-16384*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*a^2*x^2*c^4+24576*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*a*x*c^5+6930*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(7/2)*x^7*b^7-6930*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*d^3*x^3*b^6-58800*a^2*c^(5/2)*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*(d/x)^(3/2)*x^5*b^3+33600*a^3*c^(7/2)*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*(d/x)^(1/2)*x^4*b+67200*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^2*(d/x)^(3/2)*x^5*b^3*c^2-50400*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*a*(d/x)^(3/2)*x^4*b^3*c^2-33600*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^3*(d/x)^(1/2)*x^4*b*c^3+33600*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*a^2*(d/x)^(1/2)*x^3*b*c^3-42624*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*a*(d/x)^(1/2)*x^2*b*c^4+26460*a*c^(3/2)*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*(d/x)^(5/2)*x^6*b^5+52416*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*a*d*x^2*b^2*c^3-25200*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^2*d^2*x^4*b^4*c+25200*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*a*d^2*x^3*b^4*c+16800*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^3*d*x^4*b^2*c^2-16800*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*a^2*d*x^3*b^2*c^2-39060*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a*(d/x)^(5/2)*x^6*b^5*c+28160*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*(d/x)^(1/2)*x*b*c^5-30720*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*c^6-3465*c^(1/2)*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*(d/x)^(7/2)*x^7*b^7+13860*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*(d/x)^(5/2)*x^5*b^5*c+22176*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*(d/x)^(3/2)*x^3*b^3*c^3+6930*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a*d^3*x^4*b^6-18480*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*d^2*x^2*b^4*c^2-25344*(a*x+(d/x)^(1/2)*b*x+c)^(3/2)*d*x*b^2*c^4)/(a*x+(d/x)^(1/2)*b*x+c)^(1/2)/c^7","B"
3060,0,0,186,0.051000," ","int(x^m/(a+(d/x)^(1/2)*b+c/x)^(1/2),x)","\int \frac{x^{m}}{\sqrt{a +\sqrt{\frac{d}{x}}\, b +\frac{c}{x}}}\, dx"," ",0,"int(x^m/(a+(d/x)^(1/2)*b+c/x)^(1/2),x)","F"
3061,1,655,330,0.156000," ","int(x^2/(a+(d/x)^(1/2)*b+c/x)^(1/2),x)","\frac{\sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \left(3465 a \,b^{6} d^{3} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)-18900 a^{2} b^{4} c \,d^{2} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)+2560 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{13}{2}} x^{\frac{5}{2}}-2816 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a^{\frac{11}{2}} b \,x^{\frac{5}{2}}+3168 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{9}{2}} b^{2} d \,x^{\frac{3}{2}}-3696 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{3}{2}} a^{\frac{7}{2}} b^{3} x^{\frac{5}{2}}+25200 a^{3} b^{2} c^{2} d \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)+4620 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{5}{2}} b^{4} d^{2} \sqrt{x}-6930 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{5}{2}} a^{\frac{3}{2}} b^{5} x^{\frac{5}{2}}-3200 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{11}{2}} c \,x^{\frac{3}{2}}+7488 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a^{\frac{9}{2}} b c \,x^{\frac{3}{2}}-4800 a^{4} c^{3} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)-14112 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{7}{2}} b^{2} c d \sqrt{x}+28560 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{3}{2}} a^{\frac{5}{2}} b^{3} c \,x^{\frac{3}{2}}+4800 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{9}{2}} c^{2} \sqrt{x}-22176 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a^{\frac{7}{2}} b \,c^{2} \sqrt{x}\right) \sqrt{x}}{7680 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{15}{2}}}"," ",0,"1/7680*((a*x+(d/x)^(1/2)*b*x+c)/x)^(1/2)*x^(1/2)*(2560*x^(5/2)*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(13/2)-2816*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(11/2)*(d/x)^(1/2)*x^(5/2)*b-3696*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(7/2)*(d/x)^(3/2)*x^(5/2)*b^3-6930*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(5/2)*a^(3/2)*b^5*x^(5/2)-3200*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(11/2)*x^(3/2)*c+7488*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(9/2)*(d/x)^(1/2)*x^(3/2)*b*c+3168*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*d*a^(9/2)*x^(3/2)*b^2+28560*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(3/2)*a^(5/2)*b^3*c*x^(3/2)+4800*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(9/2)*c^2*x^(1/2)-22176*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(1/2)*a^(7/2)*b*c^2*x^(1/2)-14112*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(7/2)*b^2*c*d*x^(1/2)+4620*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(5/2)*b^4*d^2*x^(1/2)+3465*a*b^6*d^3*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2))-18900*a^2*b^4*c*d^2*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2))+25200*a^3*b^2*c^2*d*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2))-4800*a^4*c^3*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2)))/(a*x+(d/x)^(1/2)*b*x+c)^(1/2)/a^(15/2)","A"
3062,1,398,206,0.139000," ","int(x/(a+(d/x)^(1/2)*b+c/x)^(1/2),x)","\frac{\sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \left(105 a \,b^{4} d^{2} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)-360 a^{2} b^{2} c d \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)+96 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{9}{2}} x^{\frac{3}{2}}-112 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a^{\frac{7}{2}} b \,x^{\frac{3}{2}}+144 a^{3} c^{2} \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)+140 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{5}{2}} b^{2} d \sqrt{x}-210 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{3}{2}} a^{\frac{3}{2}} b^{3} x^{\frac{3}{2}}-144 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{7}{2}} c \sqrt{x}+440 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a^{\frac{5}{2}} b c \sqrt{x}\right) \sqrt{x}}{192 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{11}{2}}}"," ",0,"1/192*((a*x+(d/x)^(1/2)*b*x+c)/x)^(1/2)*x^(1/2)*(96*x^(3/2)*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(9/2)-112*a^(7/2)*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(1/2)*x^(3/2)*b-210*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(3/2)*a^(3/2)*b^3*x^(3/2)+140*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(5/2)*b^2*d*x^(1/2)+105*a*b^4*d^2*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2))-144*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(7/2)*c*x^(1/2)+440*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(1/2)*a^(5/2)*b*c*x^(1/2)-360*a^2*b^2*c*d*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2))+144*a^3*c^2*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2)))/(a*x+(d/x)^(1/2)*b*x+c)^(1/2)/a^(11/2)","A"
3063,1,213,109,0.140000," ","int(1/(a+(d/x)^(1/2)*b+c/x)^(1/2),x)","-\frac{\sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \left(-3 a \,b^{2} d \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)+4 a^{2} c \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)-4 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{5}{2}} \sqrt{x}+6 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a^{\frac{3}{2}} b \sqrt{x}\right) \sqrt{x}}{4 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{\frac{7}{2}}}"," ",0,"-1/4*((a*x+(d/x)^(1/2)*b*x+c)/x)^(1/2)*x^(1/2)*(6*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(1/2)*a^(3/2)*b*x^(1/2)-4*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(5/2)*x^(1/2)-3*a*b^2*d*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2))+4*a^2*c*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2)))/(a*x+(d/x)^(1/2)*b*x+c)^(1/2)/a^(7/2)","A"
3064,1,94,42,0.136000," ","int(1/x/(a+(d/x)^(1/2)*b+c/x)^(1/2),x)","\frac{2 \sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \sqrt{x}\, \ln \left(\frac{2 a \sqrt{x}+\sqrt{\frac{d}{x}}\, b \sqrt{x}+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}{2 \sqrt{a}}\right)}{\sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{a}}"," ",0,"2*((a*x+(d/x)^(1/2)*b*x+c)/x)^(1/2)*x^(1/2)/(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*ln(1/2*(2*a*x^(1/2)+(d/x)^(1/2)*b*x^(1/2)+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*a^(1/2))/a^(1/2))/a^(1/2)","B"
3065,1,120,73,0.144000," ","int(1/x^2/(a+(d/x)^(1/2)*b+c/x)^(1/2),x)","-\frac{\sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \left(-\sqrt{\frac{d}{x}}\, b c x \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)+2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, c^{\frac{3}{2}}\right)}{\sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, c^{\frac{5}{2}}}"," ",0,"-((a*x+(d/x)^(1/2)*b*x+c)/x)^(1/2)*(-b*(d/x)^(1/2)*x*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(3/2))/(a*x+(d/x)^(1/2)*b*x+c)^(1/2)/c^(5/2)","A"
3066,1,267,133,0.160000," ","int(1/x^3/(a+(d/x)^(1/2)*b+c/x)^(1/2),x)","-\frac{\sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \left(-15 \left(\frac{d}{x}\right)^{\frac{3}{2}} b^{3} c \,x^{3} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)+36 \sqrt{\frac{d}{x}}\, a b \,c^{2} x^{2} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)+30 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, b^{2} c^{\frac{3}{2}} d x -32 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a \,c^{\frac{5}{2}} x -20 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, b \,c^{\frac{5}{2}} x +16 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, c^{\frac{7}{2}}\right)}{24 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, c^{\frac{9}{2}} x}"," ",0,"-1/24*((a*x+(d/x)^(1/2)*b*x+c)/x)^(1/2)/x*(-15*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*(d/x)^(3/2)*x^3*b^3*c+30*c^(3/2)*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*d*x*b^2+36*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*(d/x)^(1/2)*x^2*a*b*c^2-20*c^(5/2)*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*(d/x)^(1/2)*x*b-32*c^(5/2)*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*x*a+16*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(7/2))/(a*x+(d/x)^(1/2)*b*x+c)^(1/2)/c^(9/2)","A"
3067,1,487,243,0.164000," ","int(1/x^4/(a+(d/x)^(1/2)*b+c/x)^(1/2),x)","\frac{\sqrt{\frac{a x +\sqrt{\frac{d}{x}}\, b x +c}{x}}\, \left(945 \left(\frac{d}{x}\right)^{\frac{5}{2}} b^{5} c \,x^{5} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)-4200 \left(\frac{d}{x}\right)^{\frac{3}{2}} a \,b^{3} c^{2} x^{4} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)+3600 \sqrt{\frac{d}{x}}\, a^{2} b \,c^{3} x^{3} \ln \left(\frac{\sqrt{\frac{d}{x}}\, b x +2 c +2 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{c}}{\sqrt{x}}\right)-1890 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, b^{4} c^{\frac{3}{2}} d^{2} x^{2}+5880 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a \,b^{2} c^{\frac{5}{2}} d \,x^{2}+1260 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \left(\frac{d}{x}\right)^{\frac{3}{2}} b^{3} c^{\frac{5}{2}} x^{3}-2048 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a^{2} c^{\frac{7}{2}} x^{2}-2576 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, a b \,c^{\frac{7}{2}} x^{2}-1008 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, b^{2} c^{\frac{7}{2}} d x +1024 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, a \,c^{\frac{9}{2}} x +864 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, \sqrt{\frac{d}{x}}\, b \,c^{\frac{9}{2}} x -768 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, c^{\frac{11}{2}}\right)}{1920 \sqrt{a x +\sqrt{\frac{d}{x}}\, b x +c}\, c^{\frac{13}{2}} x^{2}}"," ",0,"1/1920*((a*x+(d/x)^(1/2)*b*x+c)/x)^(1/2)*(945*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*(d/x)^(5/2)*x^5*b^5*c-4200*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*(d/x)^(3/2)*x^4*a*b^3*c^2+1260*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(5/2)*(d/x)^(3/2)*x^3*b^3-1890*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(3/2)*d^2*x^2*b^4-2576*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(7/2)*(d/x)^(1/2)*x^2*a*b+3600*ln(((d/x)^(1/2)*b*x+2*c+2*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(1/2))/x^(1/2))*(d/x)^(1/2)*x^3*a^2*b*c^3+864*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(9/2)*(d/x)^(1/2)*x*b-1008*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(7/2)*d*x*b^2+5880*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(5/2)*d*x^2*a*b^2-768*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(11/2)+1024*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(9/2)*x*a-2048*(a*x+(d/x)^(1/2)*b*x+c)^(1/2)*c^(7/2)*x^2*a^2)/x^2/(a*x+(d/x)^(1/2)*b*x+c)^(1/2)/c^(13/2)","A"
3068,1,32,18,0.107000," ","int((1/x+(1/x)^(1/2))^(1/2),x)","\frac{4 \sqrt{\frac{\sqrt{\frac{1}{x}}\, x +1}{x}}\, \left(\sqrt{\frac{1}{x}}\, x +1\right)}{3 \sqrt{\frac{1}{x}}}"," ",0,"4/3*(((1/x)^(1/2)*x+1)/x)^(1/2)*((1/x)^(1/2)*x+1)/(1/x)^(1/2)","A"
3069,1,123,53,0.114000," ","int((2+1/x+(1/x)^(1/2))^(1/2),x)","\frac{\sqrt{\frac{\sqrt{\frac{1}{x}}\, x +2 x +1}{x}}\, \left(7 \sqrt{2}\, \ln \left(\frac{\sqrt{2}\, \sqrt{\frac{1}{x}}\, \sqrt{x}}{4}+\sqrt{2}\, \sqrt{x}+\sqrt{\sqrt{\frac{1}{x}}\, x +2 x +1}\right)+16 \sqrt{\sqrt{\frac{1}{x}}\, x +2 x +1}\, \sqrt{x}+4 \sqrt{\sqrt{\frac{1}{x}}\, x +2 x +1}\, \sqrt{\frac{1}{x}}\, \sqrt{x}\right) \sqrt{x}}{16 \sqrt{\sqrt{\frac{1}{x}}\, x +2 x +1}}"," ",0,"1/16*(((1/x)^(1/2)*x+2*x+1)/x)^(1/2)*x^(1/2)*(7*2^(1/2)*ln(1/4*2^(1/2)*(1/x)^(1/2)*x^(1/2)+2^(1/2)*x^(1/2)+((1/x)^(1/2)*x+2*x+1)^(1/2))+16*((1/x)^(1/2)*x+2*x+1)^(1/2)*x^(1/2)+4*((1/x)^(1/2)*x+2*x+1)^(1/2)*(1/x)^(1/2)*x^(1/2))/((1/x)^(1/2)*x+2*x+1)^(1/2)","B"
3070,1,377,79,0.819000," ","int((c*x^n)^(1/n)*(b*(c*x^n)^(1/n)+a)^p,x)","-\frac{a^{2} x \,c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{\left(p +2\right) \left(p +1\right) b^{2}}+\frac{x \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{p +2}+\frac{a p x \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{p}}{\left(p +2\right) \left(p +1\right) b}"," ",0,"a*p/b/(p+2)/(p+1)*x*(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^p+(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^p/(p+2)*(x^n)^(1/n)*x*c^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))-(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^p*a^2/(p+2)/(p+1)/b^2/((x^n)^(1/n))*x/(c^(1/n))*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))","C"
3071,0,0,66,0.365000," ","int((c*x^n)^(1/n)*(b*(c*x^n)^(1/n)+a)^3,x)","\int \left(b \left(c \,x^{n}\right)^{\frac{1}{n}}+a \right)^{3} \left(c \,x^{n}\right)^{\frac{1}{n}}\, dx"," ",0,"int((c*x^n)^(1/n)*(b*(c*x^n)^(1/n)+a)^3,x)","F"
3072,0,0,49,0.389000," ","int((c*x^n)^(1/n)*(b*(c*x^n)^(1/n)+a)^2,x)","\int \left(b \left(c \,x^{n}\right)^{\frac{1}{n}}+a \right)^{2} \left(c \,x^{n}\right)^{\frac{1}{n}}\, dx"," ",0,"int((c*x^n)^(1/n)*(b*(c*x^n)^(1/n)+a)^2,x)","F"
3073,0,0,29,0.059000," ","int((c*x^n)^(1/n)*(b*(c*x^n)^(1/n)+a),x)","\int \left(b \left(c \,x^{n}\right)^{\frac{1}{n}}+a \right) \left(c \,x^{n}\right)^{\frac{1}{n}}\, dx"," ",0,"int((c*x^n)^(1/n)*(b*(c*x^n)^(1/n)+a),x)","F"
3074,1,147,38,0.187000," ","int((c*x^n)^(1/n)/(b*(c*x^n)^(1/n)+a),x)","-\frac{a x \,c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)}{b^{2}}+\frac{x}{b}"," ",0,"1/b*x-a/b^2*ln(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)/(c^(1/n))/((x^n)^(1/n))*x*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))","C"
3075,1,214,63,0.164000," ","int((c*x^n)^(1/n)/(b*(c*x^n)^(1/n)+a)^2,x)","\frac{x \,c^{-\frac{1}{n}} \left(x^{n}\right)^{-\frac{1}{n}} {\mathrm e}^{-\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}} \ln \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)}{b^{2}}-\frac{x}{\left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right) b}"," ",0,"-1/b*x/(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)+1/b^2*ln(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)/((x^n)^(1/n))/(c^(1/n))*x*exp(-1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))","C"
3076,1,137,30,0.072000," ","int((c*x^n)^(1/n)/(b*(c*x^n)^(1/n)+a)^3,x)","\frac{x \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}}{2 \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{2} a}"," ",0,"1/2*x*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))/a/(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^2","C"
3077,1,205,66,0.188000," ","int((c*x^n)^(1/n)/(b*(c*x^n)^(1/n)+a)^4,x)","\frac{\left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}+3 a \,{\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}\right) x \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}}}{6 \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{3} a^{2}}"," ",0,"1/6*x*(x^n)^(1/n)*c^(1/n)/(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^3/a^2*((x^n)^(1/n)*c^(1/n)*b*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+3*a*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))","C"
3078,1,279,66,0.185000," ","int((c*x^n)^(1/n)/(b*(c*x^n)^(1/n)+a)^5,x)","\frac{\left(4 a b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{n}}+b^{2} c^{\frac{2}{n}} \left(x^{n}\right)^{\frac{2}{n}} {\mathrm e}^{\frac{3 i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+6 a^{2} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}\right) x \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}}}{12 \left(b \,c^{\frac{1}{n}} \left(x^{n}\right)^{\frac{1}{n}} {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \,x^{n}\right)\right) \left(-\mathrm{csgn}\left(i x^{n}\right)+\mathrm{csgn}\left(i c \,x^{n}\right)\right) \mathrm{csgn}\left(i c \,x^{n}\right)}{2 n}}+a \right)^{4} a^{3}}"," ",0,"1/12*x*(x^n)^(1/n)*c^(1/n)/a^3/(b*c^(1/n)*(x^n)^(1/n)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+a)^4*(((x^n)^(1/n))^2*(c^(1/n))^2*b^2*exp(3/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+4*c^(1/n)*(x^n)^(1/n)*a*b*exp(I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n))+6*a^2*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*x^n))*(-csgn(I*x^n)+csgn(I*c*x^n))/n*csgn(I*c*x^n)))","C"