1,1,18,22,1.058547,"\text{Not used}","int((b*x)^p*(c*x)^m,x)","\frac{x\,{\left(b\,x\right)}^p\,{\left(c\,x\right)}^m}{m+p+1}","Not used",1,"(x*(b*x)^p*(c*x)^m)/(m + p + 1)","B"
2,1,10,16,1.033224,"\text{Not used}","int(x^3*(b*x^2)^(1/2),x)","\frac{\sqrt{b}\,\sqrt{x^{10}}}{5}","Not used",1,"(b^(1/2)*(x^10)^(1/2))/5","B"
3,0,-1,16,0.000000,"\text{Not used}","int(x^2*(b*x^2)^(1/2),x)","\int x^2\,\sqrt{b\,x^2} \,d x","Not used",1,"int(x^2*(b*x^2)^(1/2), x)","F"
4,1,10,16,1.022493,"\text{Not used}","int(x*(b*x^2)^(1/2),x)","\frac{\sqrt{b}\,\sqrt{x^6}}{3}","Not used",1,"(b^(1/2)*(x^6)^(1/2))/3","B"
5,1,8,14,1.244234,"\text{Not used}","int((b*x^2)^(1/2),x)","\frac{\sqrt{b}\,x\,\left|x\right|}{2}","Not used",1,"(b^(1/2)*x*abs(x))/2","B"
6,1,6,9,0.925919,"\text{Not used}","int((b*x^2)^(1/2)/x,x)","\sqrt{b}\,\left|x\right|","Not used",1,"b^(1/2)*abs(x)","B"
7,0,-1,15,0.000000,"\text{Not used}","int((b*x^2)^(1/2)/x^2,x)","\int \frac{\sqrt{b\,x^2}}{x^2} \,d x","Not used",1,"int((b*x^2)^(1/2)/x^2, x)","F"
8,1,10,14,0.902444,"\text{Not used}","int((b*x^2)^(1/2)/x^3,x)","-\frac{\sqrt{b}}{\sqrt{x^2}}","Not used",1,"-b^(1/2)/(x^2)^(1/2)","B"
9,1,13,16,0.938343,"\text{Not used}","int((b*x^2)^(1/2)/x^4,x)","-\frac{\sqrt{b}}{2\,x\,\sqrt{x^2}}","Not used",1,"-b^(1/2)/(2*x*(x^2)^(1/2))","B"
10,1,10,16,0.947426,"\text{Not used}","int((b*x^2)^(1/2)/x^5,x)","-\frac{\sqrt{b}}{3\,{\left(x^2\right)}^{3/2}}","Not used",1,"-b^(1/2)/(3*(x^2)^(3/2))","B"
11,0,-1,14,0.000000,"\text{Not used}","int(x^2*(x^2)^(1/2),x)","\int x^2\,\sqrt{x^2} \,d x","Not used",1,"int(x^2*(x^2)^(1/2), x)","F"
12,0,-1,17,0.000000,"\text{Not used}","int(x^2*(b*x^2)^(3/2),x)","\int x^2\,{\left(b\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^2*(b*x^2)^(3/2), x)","F"
13,1,10,17,0.959951,"\text{Not used}","int(x*(b*x^2)^(3/2),x)","\frac{b^{3/2}\,\sqrt{x^{10}}}{5}","Not used",1,"(b^(3/2)*(x^10)^(1/2))/5","B"
14,0,-1,17,0.000000,"\text{Not used}","int((b*x^2)^(3/2),x)","\int {\left(b\,x^2\right)}^{3/2} \,d x","Not used",1,"int((b*x^2)^(3/2), x)","F"
15,1,10,17,0.959213,"\text{Not used}","int((b*x^2)^(3/2)/x,x)","\frac{b^{3/2}\,\sqrt{x^6}}{3}","Not used",1,"(b^(3/2)*(x^6)^(1/2))/3","B"
16,1,8,15,0.970299,"\text{Not used}","int((b*x^2)^(3/2)/x^2,x)","\frac{b^{3/2}\,x\,\left|x\right|}{2}","Not used",1,"(b^(3/2)*x*abs(x))/2","B"
17,1,6,11,0.902912,"\text{Not used}","int((b*x^2)^(3/2)/x^3,x)","b^{3/2}\,\left|x\right|","Not used",1,"b^(3/2)*abs(x)","B"
18,0,-1,16,0.000000,"\text{Not used}","int((b*x^2)^(3/2)/x^4,x)","\int \frac{{\left(b\,x^2\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((b*x^2)^(3/2)/x^4, x)","F"
19,1,10,15,0.903851,"\text{Not used}","int((b*x^2)^(3/2)/x^5,x)","-\frac{b^{3/2}}{\sqrt{x^2}}","Not used",1,"-b^(3/2)/(x^2)^(1/2)","B"
20,1,13,17,0.903921,"\text{Not used}","int((b*x^2)^(3/2)/x^6,x)","-\frac{b^{3/2}}{2\,x\,\sqrt{x^2}}","Not used",1,"-b^(3/2)/(2*x*(x^2)^(1/2))","B"
21,1,10,17,0.907906,"\text{Not used}","int((b*x^2)^(3/2)/x^7,x)","-\frac{b^{3/2}}{3\,{\left(x^2\right)}^{3/2}}","Not used",1,"-b^(3/2)/(3*(x^2)^(3/2))","B"
22,0,-1,14,0.000000,"\text{Not used}","int((x^2)^(5/2),x)","\int {\left(x^2\right)}^{5/2} \,d x","Not used",1,"int((x^2)^(5/2), x)","F"
23,1,10,19,0.935742,"\text{Not used}","int(x*(b*x^2)^(5/2),x)","\frac{b^{5/2}\,\sqrt{x^{14}}}{7}","Not used",1,"(b^(5/2)*(x^14)^(1/2))/7","B"
24,0,-1,19,0.000000,"\text{Not used}","int((b*x^2)^(5/2),x)","\int {\left(b\,x^2\right)}^{5/2} \,d x","Not used",1,"int((b*x^2)^(5/2), x)","F"
25,1,10,19,0.902499,"\text{Not used}","int((b*x^2)^(5/2)/x,x)","\frac{b^{5/2}\,\sqrt{x^{10}}}{5}","Not used",1,"(b^(5/2)*(x^10)^(1/2))/5","B"
26,1,13,19,0.969893,"\text{Not used}","int((b*x^2)^(5/2)/x^2,x)","\frac{b^{5/2}\,x^3\,\sqrt{x^2}}{4}","Not used",1,"(b^(5/2)*x^3*(x^2)^(1/2))/4","B"
27,1,10,19,0.930798,"\text{Not used}","int((b*x^2)^(5/2)/x^3,x)","\frac{b^{5/2}\,\sqrt{x^6}}{3}","Not used",1,"(b^(5/2)*(x^6)^(1/2))/3","B"
28,1,8,17,0.935897,"\text{Not used}","int((b*x^2)^(5/2)/x^4,x)","\frac{b^{5/2}\,x\,\left|x\right|}{2}","Not used",1,"(b^(5/2)*x*abs(x))/2","B"
29,1,6,13,0.947186,"\text{Not used}","int((b*x^2)^(5/2)/x^5,x)","b^{5/2}\,\left|x\right|","Not used",1,"b^(5/2)*abs(x)","B"
30,0,-1,18,0.000000,"\text{Not used}","int((b*x^2)^(5/2)/x^6,x)","\int \frac{{\left(b\,x^2\right)}^{5/2}}{x^6} \,d x","Not used",1,"int((b*x^2)^(5/2)/x^6, x)","F"
31,1,10,17,0.926484,"\text{Not used}","int((b*x^2)^(5/2)/x^7,x)","-\frac{b^{5/2}}{\sqrt{x^2}}","Not used",1,"-b^(5/2)/(x^2)^(1/2)","B"
32,1,13,19,0.933207,"\text{Not used}","int((b*x^2)^(5/2)/x^8,x)","-\frac{b^{5/2}}{2\,x\,\sqrt{x^2}}","Not used",1,"-b^(5/2)/(2*x*(x^2)^(1/2))","B"
33,1,10,19,0.905929,"\text{Not used}","int((b*x^2)^(5/2)/x^9,x)","-\frac{b^{5/2}}{3\,{\left(x^2\right)}^{3/2}}","Not used",1,"-b^(5/2)/(3*(x^2)^(3/2))","B"
34,0,-1,14,0.000000,"\text{Not used}","int((x^2)^(7/2),x)","\int {\left(x^2\right)}^{7/2} \,d x","Not used",1,"int((x^2)^(7/2), x)","F"
35,1,10,16,0.970208,"\text{Not used}","int(x^3/(b*x^2)^(1/2),x)","\frac{\sqrt{x^6}}{3\,\sqrt{b}}","Not used",1,"(x^6)^(1/2)/(3*b^(1/2))","B"
36,1,6,13,0.962918,"\text{Not used}","int(x/(b*x^2)^(1/2),x)","\frac{\left|x\right|}{\sqrt{b}}","Not used",1,"abs(x)/b^(1/2)","B"
37,1,10,11,0.961705,"\text{Not used}","int(1/(x*(b*x^2)^(1/2)),x)","-\frac{1}{\sqrt{b}\,\sqrt{x^2}}","Not used",1,"-1/(b^(1/2)*(x^2)^(1/2))","B"
38,1,10,16,0.969322,"\text{Not used}","int(1/(x^3*(b*x^2)^(1/2)),x)","-\frac{1}{3\,\sqrt{b}\,{\left(x^2\right)}^{3/2}}","Not used",1,"-1/(3*b^(1/2)*(x^2)^(3/2))","B"
39,1,11,16,0.987560,"\text{Not used}","int(x^2/(b*x^2)^(1/2),x)","\frac{x\,\sqrt{x^2}}{2\,\sqrt{b}}","Not used",1,"(x*(x^2)^(1/2))/(2*b^(1/2))","B"
40,1,10,13,1.089419,"\text{Not used}","int(1/(b*x^2)^(1/2),x)","\frac{\ln\left(b\,x\right)\,\mathrm{sign}\left(x\right)}{\sqrt{b}}","Not used",1,"(log(b*x)*sign(x))/b^(1/2)","B"
41,1,13,16,0.974175,"\text{Not used}","int(1/(x^2*(b*x^2)^(1/2)),x)","-\frac{1}{2\,\sqrt{b}\,x\,\sqrt{x^2}}","Not used",1,"-1/(2*b^(1/2)*x*(x^2)^(1/2))","B"
42,1,10,19,1.017735,"\text{Not used}","int(x^5/(b*x^2)^(3/2),x)","\frac{\sqrt{x^6}}{3\,b^{3/2}}","Not used",1,"(x^6)^(1/2)/(3*b^(3/2))","B"
43,1,6,16,0.986601,"\text{Not used}","int(x^3/(b*x^2)^(3/2),x)","\frac{\left|x\right|}{b^{3/2}}","Not used",1,"abs(x)/b^(3/2)","B"
44,1,10,14,0.930977,"\text{Not used}","int(x/(b*x^2)^(3/2),x)","-\frac{1}{b^{3/2}\,\sqrt{x^2}}","Not used",1,"-1/(b^(3/2)*(x^2)^(1/2))","B"
45,1,10,19,0.960716,"\text{Not used}","int(1/(x*(b*x^2)^(3/2)),x)","-\frac{1}{3\,b^{3/2}\,{\left(x^2\right)}^{3/2}}","Not used",1,"-1/(3*b^(3/2)*(x^2)^(3/2))","B"
46,1,10,19,0.952967,"\text{Not used}","int(1/(x^3*(b*x^2)^(3/2)),x)","-\frac{1}{5\,b^{3/2}\,{\left(x^2\right)}^{5/2}}","Not used",1,"-1/(5*b^(3/2)*(x^2)^(5/2))","B"
47,0,-1,19,0.000000,"\text{Not used}","int(x^6/(b*x^2)^(3/2),x)","\int \frac{x^6}{{\left(b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x^6/(b*x^2)^(3/2), x)","F"
48,0,-1,19,0.000000,"\text{Not used}","int(x^4/(b*x^2)^(3/2),x)","\int \frac{x^4}{{\left(b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x^4/(b*x^2)^(3/2), x)","F"
49,1,37,16,0.071483,"\text{Not used}","int(x^2/(b*x^2)^(3/2),x)","-\frac{x-\ln\left(2\,\sqrt{b}\,\sqrt{x^2}+2\,\sqrt{b}\,x\right)\,\sqrt{x^2}}{b^{3/2}\,\sqrt{x^2}}","Not used",1,"-(x - log(2*b^(1/2)*(x^2)^(1/2) + 2*b^(1/2)*x)*(x^2)^(1/2))/(b^(3/2)*(x^2)^(1/2))","B"
50,1,13,19,0.912570,"\text{Not used}","int(1/(b*x^2)^(3/2),x)","-\frac{1}{2\,b^{3/2}\,x\,\sqrt{x^2}}","Not used",1,"-1/(2*b^(3/2)*x*(x^2)^(1/2))","B"
51,1,13,19,0.930095,"\text{Not used}","int(1/(x^2*(b*x^2)^(3/2)),x)","-\frac{1}{4\,b^{3/2}\,x\,{\left(x^2\right)}^{3/2}}","Not used",1,"-1/(4*b^(3/2)*x*(x^2)^(3/2))","B"
52,1,10,19,0.984265,"\text{Not used}","int(x^7/(b*x^2)^(5/2),x)","\frac{\sqrt{x^6}}{3\,b^{5/2}}","Not used",1,"(x^6)^(1/2)/(3*b^(5/2))","B"
53,1,6,16,0.959098,"\text{Not used}","int(x^5/(b*x^2)^(5/2),x)","\frac{\left|x\right|}{b^{5/2}}","Not used",1,"abs(x)/b^(5/2)","B"
54,1,10,14,0.983739,"\text{Not used}","int(x^3/(b*x^2)^(5/2),x)","-\frac{1}{b^{5/2}\,\sqrt{x^2}}","Not used",1,"-1/(b^(5/2)*(x^2)^(1/2))","B"
55,1,10,19,0.948827,"\text{Not used}","int(x/(b*x^2)^(5/2),x)","-\frac{1}{3\,b^{5/2}\,{\left(x^2\right)}^{3/2}}","Not used",1,"-1/(3*b^(5/2)*(x^2)^(3/2))","B"
56,1,10,19,0.920969,"\text{Not used}","int(1/(x*(b*x^2)^(5/2)),x)","-\frac{1}{5\,b^{5/2}\,{\left(x^2\right)}^{5/2}}","Not used",1,"-1/(5*b^(5/2)*(x^2)^(5/2))","B"
57,0,-1,19,0.000000,"\text{Not used}","int(x^6/(b*x^2)^(5/2),x)","\int \frac{x^6}{{\left(b\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(x^6/(b*x^2)^(5/2), x)","F"
58,0,-1,16,0.000000,"\text{Not used}","int(x^4/(b*x^2)^(5/2),x)","\int \frac{x^4}{{\left(b\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(x^4/(b*x^2)^(5/2), x)","F"
59,1,13,19,0.924588,"\text{Not used}","int(x^2/(b*x^2)^(5/2),x)","-\frac{1}{2\,b^{5/2}\,x\,\sqrt{x^2}}","Not used",1,"-1/(2*b^(5/2)*x*(x^2)^(1/2))","B"
60,1,13,19,0.908781,"\text{Not used}","int(1/(b*x^2)^(5/2),x)","-\frac{1}{4\,b^{5/2}\,x\,{\left(x^2\right)}^{3/2}}","Not used",1,"-1/(4*b^(5/2)*x*(x^2)^(3/2))","B"
61,1,13,19,0.919323,"\text{Not used}","int(1/(x^2*(b*x^2)^(5/2)),x)","-\frac{1}{6\,b^{5/2}\,x\,{\left(x^2\right)}^{5/2}}","Not used",1,"-1/(6*b^(5/2)*x*(x^2)^(5/2))","B"
62,1,22,29,0.959691,"\text{Not used}","int((c*x)^m*(b*x^2)^(3/2),x)","\frac{b^{3/2}\,x^3\,{\left(c\,x\right)}^m\,\sqrt{x^2}}{m+4}","Not used",1,"(b^(3/2)*x^3*(c*x)^m*(x^2)^(1/2))/(m + 4)","B"
63,1,20,28,0.942856,"\text{Not used}","int((c*x)^m*(b*x^2)^(1/2),x)","\frac{\sqrt{b}\,x\,{\left(c\,x\right)}^m\,\sqrt{x^2}}{m+2}","Not used",1,"(b^(1/2)*x*(c*x)^m*(x^2)^(1/2))/(m + 2)","B"
64,1,18,19,0.958889,"\text{Not used}","int((c*x)^m/(b*x^2)^(1/2),x)","\frac{x\,{\left(c\,x\right)}^m}{\sqrt{b}\,m\,\sqrt{x^2}}","Not used",1,"(x*(c*x)^m)/(b^(1/2)*m*(x^2)^(1/2))","B"
65,1,22,32,0.998675,"\text{Not used}","int((c*x)^m/(b*x^2)^(3/2),x)","\frac{{\left(c\,x\right)}^m}{b^{3/2}\,x\,\left(m-2\right)\,\sqrt{x^2}}","Not used",1,"(c*x)^m/(b^(3/2)*x*(m - 2)*(x^2)^(1/2))","B"
66,1,21,21,1.069635,"\text{Not used}","int(x^m*(b*x^2)^p,x)","\frac{x^{m+1}\,{\left(b\,x^2\right)}^p}{m+2\,p+1}","Not used",1,"(x^(m + 1)*(b*x^2)^p)/(m + 2*p + 1)","B"
67,1,22,22,0.961539,"\text{Not used}","int((c*x)^m*(b*x^2)^p,x)","\frac{x\,{\left(c\,x\right)}^m\,{\left(b\,x^2\right)}^p}{m+2\,p+1}","Not used",1,"(x*(c*x)^m*(b*x^2)^p)/(m + 2*p + 1)","B"
68,0,-1,13,0.000000,"\text{Not used}","int((x^2)^p/x^(2*p + 1),x)","\int \frac{{\left(x^2\right)}^p}{x^{2\,p+1}} \,d x","Not used",1,"int((x^2)^p/x^(2*p + 1), x)","F"
69,1,18,19,0.964701,"\text{Not used}","int(x^3*(b*x^2)^p,x)","\frac{x^4\,{\left(b\,x^2\right)}^p}{2\,\left(p+2\right)}","Not used",1,"(x^4*(b*x^2)^p)/(2*(p + 2))","B"
70,1,18,18,0.978941,"\text{Not used}","int(x^2*(b*x^2)^p,x)","\frac{x^3\,{\left(b\,x^2\right)}^p}{2\,p+3}","Not used",1,"(x^3*(b*x^2)^p)/(2*p + 3)","B"
71,1,18,19,0.986081,"\text{Not used}","int(x*(b*x^2)^p,x)","\frac{x^2\,{\left(b\,x^2\right)}^p}{2\,\left(p+1\right)}","Not used",1,"(x^2*(b*x^2)^p)/(2*(p + 1))","B"
72,1,16,16,1.096518,"\text{Not used}","int((b*x^2)^p,x)","\frac{x\,{\left(b\,x^2\right)}^p}{2\,p+1}","Not used",1,"(x*(b*x^2)^p)/(2*p + 1)","B"
73,1,12,14,0.948858,"\text{Not used}","int((b*x^2)^p/x,x)","\frac{{\left(b\,x^2\right)}^p}{2\,p}","Not used",1,"(b*x^2)^p/(2*p)","B"
74,1,18,19,0.928187,"\text{Not used}","int((b*x^2)^p/x^2,x)","\frac{{\left(b\,x^2\right)}^p}{x\,\left(2\,p-1\right)}","Not used",1,"(b*x^2)^p/(x*(2*p - 1))","B"
75,1,18,21,0.978701,"\text{Not used}","int((b*x^2)^p/x^3,x)","\frac{{\left(b\,x^2\right)}^p}{x^2\,\left(2\,p-2\right)}","Not used",1,"(b*x^2)^p/(x^2*(2*p - 2))","B"
76,1,18,19,0.965342,"\text{Not used}","int((b*x^2)^p/x^4,x)","\frac{{\left(b\,x^2\right)}^p}{x^3\,\left(2\,p-3\right)}","Not used",1,"(b*x^2)^p/(x^3*(2*p - 3))","B"
77,1,10,14,1.359146,"\text{Not used}","int((b*x^3)^(1/2),x)","\frac{2\,x\,\sqrt{b\,x^3}}{5}","Not used",1,"(2*x*(b*x^3)^(1/2))/5","B"
78,1,8,14,0.002044,"\text{Not used}","int((b*x^2)^(1/2),x)","\frac{\sqrt{b}\,x\,\left|x\right|}{2}","Not used",1,"(b^(1/2)*x*abs(x))/2","B"
79,1,10,14,0.021682,"\text{Not used}","int((b*x)^(1/2),x)","\frac{2\,{\left(b\,x\right)}^{3/2}}{3\,b}","Not used",1,"(2*(b*x)^(3/2))/(3*b)","B"
80,1,10,12,0.966667,"\text{Not used}","int((b/x)^(1/2),x)","2\,x\,\sqrt{\frac{b}{x}}","Not used",1,"2*x*(b/x)^(1/2)","B"
81,0,-1,13,0.000000,"\text{Not used}","int((b/x^2)^(1/2),x)","\int \sqrt{\frac{b}{x^2}} \,d x","Not used",1,"int((b/x^2)^(1/2), x)","F"
82,1,10,12,0.976024,"\text{Not used}","int((b/x^3)^(1/2),x)","-2\,x\,\sqrt{\frac{b}{x^3}}","Not used",1,"-2*x*(b/x^3)^(1/2)","B"
83,1,10,17,0.950774,"\text{Not used}","int((b*x^3)^(3/2),x)","\frac{2\,x\,{\left(b\,x^3\right)}^{3/2}}{11}","Not used",1,"(2*x*(b*x^3)^(3/2))/11","B"
84,0,-1,17,0.000000,"\text{Not used}","int((b*x^2)^(3/2),x)","\int {\left(b\,x^2\right)}^{3/2} \,d x","Not used",1,"int((b*x^2)^(3/2), x)","F"
85,1,10,14,0.014571,"\text{Not used}","int((b*x)^(3/2),x)","\frac{2\,{\left(b\,x\right)}^{5/2}}{5\,b}","Not used",1,"(2*(b*x)^(5/2))/(5*b)","B"
86,1,10,12,0.931291,"\text{Not used}","int((b/x)^(3/2),x)","-2\,b\,\sqrt{\frac{b}{x}}","Not used",1,"-2*b*(b/x)^(1/2)","B"
87,1,13,17,0.979045,"\text{Not used}","int((b/x^2)^(3/2),x)","-\frac{b^{3/2}\,\sqrt{\frac{1}{x^2}}}{2\,x}","Not used",1,"-(b^(3/2)*(1/x^2)^(1/2))/(2*x)","B"
88,1,13,17,0.967889,"\text{Not used}","int((b/x^3)^(3/2),x)","-\frac{2\,b\,\sqrt{\frac{b}{x^3}}}{7\,x^2}","Not used",1,"-(2*b*(b/x^3)^(1/2))/(7*x^2)","B"
89,1,15,12,0.940165,"\text{Not used}","int(1/(b*x^3)^(1/2),x)","-\frac{2\,\sqrt{b\,x^3}}{b\,x^2}","Not used",1,"-(2*(b*x^3)^(1/2))/(b*x^2)","B"
90,1,10,13,0.001992,"\text{Not used}","int(1/(b*x^2)^(1/2),x)","\frac{\ln\left(b\,x\right)\,\mathrm{sign}\left(x\right)}{\sqrt{b}}","Not used",1,"(log(b*x)*sign(x))/b^(1/2)","B"
91,1,10,12,0.012847,"\text{Not used}","int(1/(b*x)^(1/2),x)","\frac{2\,\sqrt{b\,x}}{b}","Not used",1,"(2*(b*x)^(1/2))/b","B"
92,1,15,14,0.951928,"\text{Not used}","int(1/(b/x)^(1/2),x)","\frac{2\,x^2\,\sqrt{\frac{b}{x}}}{3\,b}","Not used",1,"(2*x^2*(b/x)^(1/2))/(3*b)","B"
93,1,13,14,0.925905,"\text{Not used}","int(1/(b/x^2)^(1/2),x)","\frac{x^3\,\sqrt{\frac{1}{x^2}}}{2\,\sqrt{b}}","Not used",1,"(x^3*(1/x^2)^(1/2))/(2*b^(1/2))","B"
94,1,15,14,0.947721,"\text{Not used}","int(1/(b/x^3)^(1/2),x)","\frac{2\,x^4\,\sqrt{\frac{b}{x^3}}}{5\,b}","Not used",1,"(2*x^4*(b/x^3)^(1/2))/(5*b)","B"
95,1,15,19,0.936634,"\text{Not used}","int(1/(b*x^3)^(3/2),x)","-\frac{2\,\sqrt{b\,x^3}}{7\,b^2\,x^5}","Not used",1,"-(2*(b*x^3)^(1/2))/(7*b^2*x^5)","B"
96,1,13,19,0.001935,"\text{Not used}","int(1/(b*x^2)^(3/2),x)","-\frac{1}{2\,b^{3/2}\,x\,\sqrt{x^2}}","Not used",1,"-1/(2*b^(3/2)*x*(x^2)^(1/2))","B"
97,1,10,12,0.016845,"\text{Not used}","int(1/(b*x)^(3/2),x)","-\frac{2}{b\,\sqrt{b\,x}}","Not used",1,"-2/(b*(b*x)^(1/2))","B"
98,1,15,19,0.938382,"\text{Not used}","int(1/(b/x)^(3/2),x)","\frac{2\,x^3\,\sqrt{\frac{b}{x}}}{5\,b^2}","Not used",1,"(2*x^3*(b/x)^(1/2))/(5*b^2)","B"
99,1,13,19,0.925754,"\text{Not used}","int(1/(b/x^2)^(3/2),x)","\frac{x^5\,\sqrt{\frac{1}{x^2}}}{4\,b^{3/2}}","Not used",1,"(x^5*(1/x^2)^(1/2))/(4*b^(3/2))","B"
100,1,15,19,0.946472,"\text{Not used}","int(1/(b/x^3)^(3/2),x)","\frac{2\,x^7\,\sqrt{\frac{b}{x^3}}}{11\,b^2}","Not used",1,"(2*x^7*(b/x^3)^(1/2))/(11*b^2)","B"
101,1,15,17,0.996322,"\text{Not used}","int((b*x^n)^(1/3),x)","\frac{3\,x\,{\left(b\,x^n\right)}^{1/3}}{n+3}","Not used",1,"(3*x*(b*x^n)^(1/3))/(n + 3)","B"
102,0,-1,14,0.000000,"\text{Not used}","int((b*x^3)^(1/3),x)","\int {\left(b\,x^3\right)}^{1/3} \,d x","Not used",1,"int((b*x^3)^(1/3), x)","F"
103,1,11,14,0.916872,"\text{Not used}","int((b*x^2)^(1/3),x)","\frac{3\,b^{1/3}\,x\,{\left(x^2\right)}^{1/3}}{5}","Not used",1,"(3*b^(1/3)*x*(x^2)^(1/3))/5","B"
104,1,10,14,0.014912,"\text{Not used}","int((b*x)^(1/3),x)","\frac{3\,{\left(b\,x\right)}^{4/3}}{4\,b}","Not used",1,"(3*(b*x)^(4/3))/(4*b)","B"
105,1,10,14,0.921229,"\text{Not used}","int((b/x)^(1/3),x)","\frac{3\,x\,{\left(\frac{b}{x}\right)}^{1/3}}{2}","Not used",1,"(3*x*(b/x)^(1/3))/2","B"
106,1,11,12,1.032866,"\text{Not used}","int((b/x^2)^(1/3),x)","3\,b^{1/3}\,x\,{\left(\frac{1}{x^2}\right)}^{1/3}","Not used",1,"3*b^(1/3)*x*(1/x^2)^(1/3)","B"
107,0,-1,13,0.000000,"\text{Not used}","int((b/x^3)^(1/3),x)","\int {\left(\frac{b}{x^3}\right)}^{1/3} \,d x","Not used",1,"int((b/x^3)^(1/3), x)","F"
108,1,11,12,1.023814,"\text{Not used}","int((b/x^4)^(1/3),x)","-3\,b^{1/3}\,x\,{\left(\frac{1}{x^4}\right)}^{1/3}","Not used",1,"-3*b^(1/3)*x*(1/x^4)^(1/3)","B"
109,1,17,19,0.976678,"\text{Not used}","int((b*x^n)^(2/3),x)","\frac{3\,x\,{\left(b\,x^n\right)}^{2/3}}{2\,n+3}","Not used",1,"(3*x*(b*x^n)^(2/3))/(2*n + 3)","B"
110,1,11,14,1.001107,"\text{Not used}","int((b*x^2)^(2/3),x)","\frac{3\,b^{2/3}\,x\,{\left(x^4\right)}^{1/3}}{7}","Not used",1,"(3*b^(2/3)*x*(x^4)^(1/3))/7","B"
111,1,10,14,0.015732,"\text{Not used}","int((b*x)^(2/3),x)","\frac{3\,{\left(b\,x\right)}^{5/3}}{5\,b}","Not used",1,"(3*(b*x)^(5/3))/(5*b)","B"
112,1,10,12,0.918357,"\text{Not used}","int((b/x)^(2/3),x)","3\,x\,{\left(\frac{b}{x}\right)}^{2/3}","Not used",1,"3*x*(b/x)^(2/3)","B"
113,1,11,12,0.930207,"\text{Not used}","int((b/x^2)^(2/3),x)","-3\,b^{2/3}\,x\,{\left(\frac{1}{x^2}\right)}^{2/3}","Not used",1,"-3*b^(2/3)*x*(1/x^2)^(2/3)","B"
114,1,10,12,0.918492,"\text{Not used}","int((b/x^3)^(2/3),x)","-x\,{\left(\frac{b}{x^3}\right)}^{2/3}","Not used",1,"-x*(b/x^3)^(2/3)","B"
115,1,11,14,0.915728,"\text{Not used}","int((b/x^4)^(2/3),x)","-\frac{3\,b^{2/3}\,x\,{\left(\frac{1}{x^4}\right)}^{2/3}}{5}","Not used",1,"-(3*b^(2/3)*x*(1/x^4)^(2/3))/5","B"
116,1,24,19,0.977399,"\text{Not used}","int(1/(b*x^n)^(1/3),x)","-\frac{3\,x^{1-n}\,{\left(b\,x^n\right)}^{2/3}}{b\,\left(n-3\right)}","Not used",1,"-(3*x^(1 - n)*(b*x^n)^(2/3))/(b*(n - 3))","B"
117,1,13,12,0.929154,"\text{Not used}","int(1/(b*x^4)^(1/3),x)","-\frac{3\,{\left(x^8\right)}^{1/3}}{b^{1/3}\,x^3}","Not used",1,"-(3*(x^8)^(1/3))/(b^(1/3)*x^3)","B"
118,0,-1,13,0.000000,"\text{Not used}","int(1/(b*x^3)^(1/3),x)","\int \frac{1}{{\left(b\,x^3\right)}^{1/3}} \,d x","Not used",1,"int(1/(b*x^3)^(1/3), x)","F"
119,1,13,12,0.935274,"\text{Not used}","int(1/(b*x^2)^(1/3),x)","\frac{3\,{\left(x^4\right)}^{1/3}}{b^{1/3}\,x}","Not used",1,"(3*(x^4)^(1/3))/(b^(1/3)*x)","B"
120,1,10,14,0.014631,"\text{Not used}","int(1/(b*x)^(1/3),x)","\frac{3\,{\left(b\,x\right)}^{2/3}}{2\,b}","Not used",1,"(3*(b*x)^(2/3))/(2*b)","B"
121,1,15,14,0.923393,"\text{Not used}","int(1/(b/x)^(1/3),x)","\frac{3\,x^2\,{\left(\frac{b}{x}\right)}^{2/3}}{4\,b}","Not used",1,"(3*x^2*(b/x)^(2/3))/(4*b)","B"
122,1,13,14,0.927972,"\text{Not used}","int(1/(b/x^2)^(1/3),x)","\frac{3\,x^3\,{\left(\frac{1}{x^2}\right)}^{2/3}}{5\,b^{1/3}}","Not used",1,"(3*x^3*(1/x^2)^(2/3))/(5*b^(1/3))","B"
123,1,15,14,0.940799,"\text{Not used}","int(1/(b/x^3)^(1/3),x)","\frac{x^4\,{\left(\frac{b}{x^3}\right)}^{2/3}}{2\,b}","Not used",1,"(x^4*(b/x^3)^(2/3))/(2*b)","B"
124,1,26,19,0.983795,"\text{Not used}","int(1/(b*x^n)^(2/3),x)","-\frac{3\,x^{1-n}\,{\left(b\,x^n\right)}^{1/3}}{b\,\left(2\,n-3\right)}","Not used",1,"-(3*x^(1 - n)*(b*x^n)^(1/3))/(b*(2*n - 3))","B"
125,1,15,12,0.926562,"\text{Not used}","int(1/(b*x^3)^(2/3),x)","-\frac{{\left(b\,x^3\right)}^{1/3}}{b\,x^2}","Not used",1,"-(b*x^3)^(1/3)/(b*x^2)","B"
126,1,13,12,0.912478,"\text{Not used}","int(1/(b*x^2)^(2/3),x)","-\frac{3\,{\left(x^2\right)}^{1/3}}{b^{2/3}\,x}","Not used",1,"-(3*(x^2)^(1/3))/(b^(2/3)*x)","B"
127,1,10,12,0.013642,"\text{Not used}","int(1/(b*x)^(2/3),x)","\frac{3\,{\left(b\,x\right)}^{1/3}}{b}","Not used",1,"(3*(b*x)^(1/3))/b","B"
128,1,15,14,0.906020,"\text{Not used}","int(1/(b/x)^(2/3),x)","\frac{3\,x^2\,{\left(\frac{b}{x}\right)}^{1/3}}{5\,b}","Not used",1,"(3*x^2*(b/x)^(1/3))/(5*b)","B"
129,1,13,14,0.919537,"\text{Not used}","int(1/(b/x^2)^(2/3),x)","\frac{3\,x^3\,{\left(\frac{1}{x^2}\right)}^{1/3}}{7\,b^{2/3}}","Not used",1,"(3*x^3*(1/x^2)^(1/3))/(7*b^(2/3))","B"
130,1,15,14,0.899812,"\text{Not used}","int(1/(b/x^3)^(2/3),x)","\frac{x^4\,{\left(\frac{b}{x^3}\right)}^{1/3}}{3\,b}","Not used",1,"(x^4*(b/x^3)^(1/3))/(3*b)","B"
131,1,17,19,0.995288,"\text{Not used}","int(x^2*(b*x^n)^(1/2),x)","\frac{2\,x^3\,\sqrt{b\,x^n}}{n+6}","Not used",1,"(2*x^3*(b*x^n)^(1/2))/(n + 6)","B"
132,1,17,19,0.946553,"\text{Not used}","int(x*(b*x^n)^(1/2),x)","\frac{2\,x^2\,\sqrt{b\,x^n}}{n+4}","Not used",1,"(2*x^2*(b*x^n)^(1/2))/(n + 4)","B"
133,1,15,17,1.480997,"\text{Not used}","int((b*x^n)^(1/2),x)","\frac{2\,x\,\sqrt{b\,x^n}}{n+2}","Not used",1,"(2*x*(b*x^n)^(1/2))/(n + 2)","B"
134,1,12,14,0.926324,"\text{Not used}","int((b*x^n)^(1/2)/x,x)","\frac{2\,\sqrt{b\,x^n}}{n}","Not used",1,"(2*(b*x^n)^(1/2))/n","B"
135,0,-1,21,0.000000,"\text{Not used}","int((b*x^n)^(1/2)/x^2,x)","\int \frac{\sqrt{b\,x^n}}{x^2} \,d x","Not used",1,"int((b*x^n)^(1/2)/x^2, x)","F"
136,0,-1,21,0.000000,"\text{Not used}","int((b*x^n)^(1/2)/x^3,x)","\int \frac{\sqrt{b\,x^n}}{x^3} \,d x","Not used",1,"int((b*x^n)^(1/2)/x^3, x)","F"
137,1,22,24,0.981963,"\text{Not used}","int(x*(b*x^n)^(3/2),x)","\frac{2\,b\,x^{n+2}\,\sqrt{b\,x^n}}{3\,n+4}","Not used",1,"(2*b*x^(n + 2)*(b*x^n)^(1/2))/(3*n + 4)","B"
138,1,22,24,0.965156,"\text{Not used}","int((b*x^n)^(3/2),x)","\frac{2\,b\,x^{n+1}\,\sqrt{b\,x^n}}{3\,n+2}","Not used",1,"(2*b*x^(n + 1)*(b*x^n)^(1/2))/(3*n + 2)","B"
139,1,16,20,0.930919,"\text{Not used}","int((b*x^n)^(3/2)/x,x)","\frac{2\,b\,x^n\,\sqrt{b\,x^n}}{3\,n}","Not used",1,"(2*b*x^n*(b*x^n)^(1/2))/(3*n)","B"
140,1,22,24,0.934351,"\text{Not used}","int((b*x^n)^(3/2)/x^2,x)","\frac{2\,b\,x^{n-1}\,\sqrt{b\,x^n}}{3\,n-2}","Not used",1,"(2*b*x^(n - 1)*(b*x^n)^(1/2))/(3*n - 2)","B"
141,1,22,24,0.961796,"\text{Not used}","int((b*x^n)^(3/2)/x^3,x)","\frac{2\,b\,x^{n-2}\,\sqrt{b\,x^n}}{3\,n-4}","Not used",1,"(2*b*x^(n - 2)*(b*x^n)^(1/2))/(3*n - 4)","B"
142,1,22,26,0.958273,"\text{Not used}","int((b*x^n)^(3/2)/x^4,x)","\frac{2\,b\,x^{n-3}\,\sqrt{b\,x^n}}{3\,n-6}","Not used",1,"(2*b*x^(n - 3)*(b*x^n)^(1/2))/(3*n - 6)","B"
143,1,24,21,1.036923,"\text{Not used}","int(x^2/(b*x^n)^(1/2),x)","-\frac{2\,x^{3-n}\,\sqrt{b\,x^n}}{b\,\left(n-6\right)}","Not used",1,"-(2*x^(3 - n)*(b*x^n)^(1/2))/(b*(n - 6))","B"
144,1,24,21,1.037044,"\text{Not used}","int(x/(b*x^n)^(1/2),x)","-\frac{2\,x^{2-n}\,\sqrt{b\,x^n}}{b\,\left(n-4\right)}","Not used",1,"-(2*x^(2 - n)*(b*x^n)^(1/2))/(b*(n - 4))","B"
145,1,24,19,0.968023,"\text{Not used}","int(1/(b*x^n)^(1/2),x)","-\frac{2\,x^{1-n}\,\sqrt{b\,x^n}}{b\,\left(n-2\right)}","Not used",1,"-(2*x^(1 - n)*(b*x^n)^(1/2))/(b*(n - 2))","B"
146,1,20,14,0.967880,"\text{Not used}","int(1/(x*(b*x^n)^(1/2)),x)","-\frac{2\,\sqrt{b\,x^n}}{b\,n\,x^n}","Not used",1,"-(2*(b*x^n)^(1/2))/(b*n*x^n)","B"
147,1,24,19,0.973899,"\text{Not used}","int(1/(x^2*(b*x^n)^(1/2)),x)","-\frac{2\,\sqrt{b\,x^n}}{b\,x^{n+1}\,\left(n+2\right)}","Not used",1,"-(2*(b*x^n)^(1/2))/(b*x^(n + 1)*(n + 2))","B"
148,1,24,19,0.979507,"\text{Not used}","int(1/(x^3*(b*x^n)^(1/2)),x)","-\frac{2\,\sqrt{b\,x^n}}{b\,x^{n+2}\,\left(n+4\right)}","Not used",1,"-(2*(b*x^n)^(1/2))/(b*x^(n + 2)*(n + 4))","B"
149,0,-1,30,0.000000,"\text{Not used}","int(x^2/(b*x^n)^(3/2),x)","\int \frac{x^2}{{\left(b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(x^2/(b*x^n)^(3/2), x)","F"
150,0,-1,28,0.000000,"\text{Not used}","int(x/(b*x^n)^(3/2),x)","\int \frac{x}{{\left(b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(x/(b*x^n)^(3/2), x)","F"
151,0,-1,28,0.000000,"\text{Not used}","int(1/(b*x^n)^(3/2),x)","\int \frac{1}{{\left(b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(1/(b*x^n)^(3/2), x)","F"
152,1,12,24,0.930151,"\text{Not used}","int(1/(x*(b*x^n)^(3/2)),x)","-\frac{2}{3\,n\,{\left(b\,x^n\right)}^{3/2}}","Not used",1,"-2/(3*n*(b*x^n)^(3/2))","B"
153,0,-1,28,0.000000,"\text{Not used}","int(1/(x^2*(b*x^n)^(3/2)),x)","\int \frac{1}{x^2\,{\left(b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(b*x^n)^(3/2)), x)","F"
154,0,-1,28,0.000000,"\text{Not used}","int(1/(x^3*(b*x^n)^(3/2)),x)","\int \frac{1}{x^3\,{\left(b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(b*x^n)^(3/2)), x)","F"
155,0,-1,28,0.000000,"\text{Not used}","int(1/(x^4*(b*x^n)^(3/2)),x)","\int \frac{1}{x^4\,{\left(b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^4*(b*x^n)^(3/2)), x)","F"
156,0,-1,32,0.000000,"\text{Not used}","int(x^m/(a*x^n)^(3/2),x)","\int \frac{x^m}{{\left(a\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(x^m/(a*x^n)^(3/2), x)","F"
157,1,34,36,1.037740,"\text{Not used}","int((c*x)^m/(a*x^n)^(3/2),x)","\frac{2\,x^{1-2\,n}\,\sqrt{a\,x^n}\,{\left(c\,x\right)}^m}{a^2\,\left(2\,m-3\,n+2\right)}","Not used",1,"(2*x^(1 - 2*n)*(a*x^n)^(1/2)*(c*x)^m)/(a^2*(2*m - 3*n + 2))","B"
158,1,26,28,1.061525,"\text{Not used}","int(x^m*(b*x^n)^(3/2),x)","\frac{2\,b\,x^{m+n+1}\,\sqrt{b\,x^n}}{2\,m+3\,n+2}","Not used",1,"(2*b*x^(m + n + 1)*(b*x^n)^(1/2))/(2*m + 3*n + 2)","B"
159,1,22,24,1.042355,"\text{Not used}","int(x^m*(b*x^n)^(1/2),x)","\frac{2\,x^{m+1}\,\sqrt{b\,x^n}}{2\,m+n+2}","Not used",1,"(2*x^(m + 1)*(b*x^n)^(1/2))/(2*m + n + 2)","B"
160,1,30,26,1.091708,"\text{Not used}","int(x^m/(b*x^n)^(1/2),x)","\frac{2\,x^{m-n+1}\,\sqrt{b\,x^n}}{b\,\left(2\,m-n+2\right)}","Not used",1,"(2*x^(m - n + 1)*(b*x^n)^(1/2))/(b*(2*m - n + 2))","B"
161,0,-1,32,0.000000,"\text{Not used}","int(x^m/(b*x^n)^(3/2),x)","\int \frac{x^m}{{\left(b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(x^m/(b*x^n)^(3/2), x)","F"
162,1,34,31,1.051793,"\text{Not used}","int((b*x^n)^(5/2)*(c*x)^m,x)","\frac{2\,b^2\,x^{2\,n+1}\,\sqrt{b\,x^n}\,{\left(c\,x\right)}^m}{2\,m+5\,n+2}","Not used",1,"(2*b^2*x^(2*n + 1)*(b*x^n)^(1/2)*(c*x)^m)/(2*m + 5*n + 2)","B"
163,1,30,32,0.998005,"\text{Not used}","int((b*x^n)^(3/2)*(c*x)^m,x)","\frac{2\,b\,x^{n+1}\,\sqrt{b\,x^n}\,{\left(c\,x\right)}^m}{2\,m+3\,n+2}","Not used",1,"(2*b*x^(n + 1)*(b*x^n)^(1/2)*(c*x)^m)/(2*m + 3*n + 2)","B"
164,1,23,29,1.013324,"\text{Not used}","int((b*x^n)^(1/2)*(c*x)^m,x)","\frac{2\,x\,\sqrt{b\,x^n}\,{\left(c\,x\right)}^m}{2\,m+n+2}","Not used",1,"(2*x*(b*x^n)^(1/2)*(c*x)^m)/(2*m + n + 2)","B"
165,1,34,27,1.032370,"\text{Not used}","int((c*x)^m/(b*x^n)^(1/2),x)","\frac{2\,x^{1-n}\,\sqrt{b\,x^n}\,{\left(c\,x\right)}^m}{b\,\left(2\,m-n+2\right)}","Not used",1,"(2*x^(1 - n)*(b*x^n)^(1/2)*(c*x)^m)/(b*(2*m - n + 2))","B"
166,1,34,36,1.034349,"\text{Not used}","int((c*x)^m/(b*x^n)^(3/2),x)","\frac{2\,x^{1-2\,n}\,\sqrt{b\,x^n}\,{\left(c\,x\right)}^m}{b^2\,\left(2\,m-3\,n+2\right)}","Not used",1,"(2*x^(1 - 2*n)*(b*x^n)^(1/2)*(c*x)^m)/(b^2*(2*m - 3*n + 2))","B"
167,1,34,36,1.052534,"\text{Not used}","int((c*x)^m/(b*x^n)^(5/2),x)","\frac{2\,x^{1-3\,n}\,\sqrt{b\,x^n}\,{\left(c\,x\right)}^m}{b^3\,\left(2\,m-5\,n+2\right)}","Not used",1,"(2*x^(1 - 3*n)*(b*x^n)^(1/2)*(c*x)^m)/(b^3*(2*m - 5*n + 2))","B"
168,0,-1,20,0.000000,"\text{Not used}","int((b*x^n)^(3/2)/x^((3*n)/2 + 1),x)","\int \frac{{\left(b\,x^n\right)}^{3/2}}{x^{\frac{3\,n}{2}+1}} \,d x","Not used",1,"int((b*x^n)^(3/2)/x^((3*n)/2 + 1), x)","F"
169,0,-1,19,0.000000,"\text{Not used}","int((b*x^n)^(1/2)/x^(n/2 + 1),x)","\int \frac{\sqrt{b\,x^n}}{x^{\frac{n}{2}+1}} \,d x","Not used",1,"int((b*x^n)^(1/2)/x^(n/2 + 1), x)","F"
170,0,-1,19,0.000000,"\text{Not used}","int(x^(n/2 - 1)/(b*x^n)^(1/2),x)","\int \frac{x^{\frac{n}{2}-1}}{\sqrt{b\,x^n}} \,d x","Not used",1,"int(x^(n/2 - 1)/(b*x^n)^(1/2), x)","F"
171,0,-1,22,0.000000,"\text{Not used}","int(x^((3*n)/2 - 1)/(b*x^n)^(3/2),x)","\int \frac{x^{\frac{3\,n}{2}-1}}{{\left(b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(x^((3*n)/2 - 1)/(b*x^n)^(3/2), x)","F"
172,1,21,21,1.144700,"\text{Not used}","int(x^m*(b*x^n)^p,x)","\frac{x^{m+1}\,{\left(b\,x^n\right)}^p}{m+n\,p+1}","Not used",1,"(x^(m + 1)*(b*x^n)^p)/(m + n*p + 1)","B"
173,1,22,26,1.008300,"\text{Not used}","int((b*x^n)^p*(c*x)^m,x)","\frac{x\,{\left(b\,x^n\right)}^p\,{\left(c\,x\right)}^m}{m+n\,p+1}","Not used",1,"(x*(b*x^n)^p*(c*x)^m)/(m + n*p + 1)","B"
174,1,18,18,1.084340,"\text{Not used}","int(x^2*(b*x^n)^p,x)","\frac{x^3\,{\left(b\,x^n\right)}^p}{n\,p+3}","Not used",1,"(x^3*(b*x^n)^p)/(n*p + 3)","B"
175,1,18,18,1.060407,"\text{Not used}","int(x*(b*x^n)^p,x)","\frac{x^2\,{\left(b\,x^n\right)}^p}{n\,p+2}","Not used",1,"(x^2*(b*x^n)^p)/(n*p + 2)","B"
176,1,16,16,1.194334,"\text{Not used}","int((b*x^n)^p,x)","\frac{x\,{\left(b\,x^n\right)}^p}{n\,p+1}","Not used",1,"(x*(b*x^n)^p)/(n*p + 1)","B"
177,0,-1,14,0.000000,"\text{Not used}","int((b*x^n)^p/x,x)","\int \frac{{\left(b\,x^n\right)}^p}{x} \,d x","Not used",1,"int((b*x^n)^p/x, x)","F"
178,0,-1,20,0.000000,"\text{Not used}","int((b*x^n)^p/x^2,x)","\int \frac{{\left(b\,x^n\right)}^p}{x^2} \,d x","Not used",1,"int((b*x^n)^p/x^2, x)","F"
179,0,-1,20,0.000000,"\text{Not used}","int((b*x^n)^p/x^3,x)","\int \frac{{\left(b\,x^n\right)}^p}{x^3} \,d x","Not used",1,"int((b*x^n)^p/x^3, x)","F"
180,1,20,20,1.131418,"\text{Not used}","int(x^m/(a*x^n)^(1/n),x)","\frac{x^{m+1}}{m\,{\left(a\,x^n\right)}^{1/n}}","Not used",1,"x^(m + 1)/(m*(a*x^n)^(1/n))","B"
181,1,21,21,0.989548,"\text{Not used}","int((c*x)^m/(a*x^n)^(1/n),x)","\frac{x\,{\left(c\,x\right)}^m}{m\,{\left(a\,x^n\right)}^{1/n}}","Not used",1,"(x*(c*x)^m)/(m*(a*x^n)^(1/n))","B"
182,1,16,18,1.123648,"\text{Not used}","int(x^2/(a*x^n)^(1/n),x)","\frac{x^3}{2\,{\left(a\,x^n\right)}^{1/n}}","Not used",1,"x^3/(2*(a*x^n)^(1/n))","B"
183,1,15,15,1.062018,"\text{Not used}","int(x/(a*x^n)^(1/n),x)","\frac{x^2}{{\left(a\,x^n\right)}^{1/n}}","Not used",1,"x^2/(a*x^n)^(1/n)","B"
184,0,-1,15,0.000000,"\text{Not used}","int(1/(a*x^n)^(1/n),x)","\int \frac{1}{{\left(a\,x^n\right)}^{1/n}} \,d x","Not used",1,"int(1/(a*x^n)^(1/n), x)","F"
185,1,13,13,1.015408,"\text{Not used}","int(1/(x*(a*x^n)^(1/n)),x)","-\frac{1}{{\left(a\,x^n\right)}^{1/n}}","Not used",1,"-1/(a*x^n)^(1/n)","B"
186,0,-1,18,0.000000,"\text{Not used}","int(1/(x^2*(a*x^n)^(1/n)),x)","\int \frac{1}{x^2\,{\left(a\,x^n\right)}^{1/n}} \,d x","Not used",1,"int(1/(x^2*(a*x^n)^(1/n)), x)","F"
187,0,-1,22,0.000000,"\text{Not used}","int(x^m/(a*x^n)^((m + 1)/n),x)","\int \frac{x^m}{{\left(a\,x^n\right)}^{\frac{m+1}{n}}} \,d x","Not used",1,"int(x^m/(a*x^n)^((m + 1)/n), x)","F"
188,0,-1,16,0.000000,"\text{Not used}","int((a*x^n)^p/x^(n*p + 1),x)","\int \frac{{\left(a\,x^n\right)}^p}{x^{n\,p+1}} \,d x","Not used",1,"int((a*x^n)^p/x^(n*p + 1), x)","F"
189,1,26,26,1.229035,"\text{Not used}","int(x^m*(a*(b*x^n)^p)^q,x)","\frac{x^{m+1}\,{\left(a\,{\left(b\,x^n\right)}^p\right)}^q}{m+n\,p\,q+1}","Not used",1,"(x^(m + 1)*(a*(b*x^n)^p)^q)/(m + n*p*q + 1)","B"
190,1,23,23,1.022545,"\text{Not used}","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}","Not used",1,"(x^3*(a*(b*x^n)^p)^q)/(n*p*q + 3)","B"
191,1,23,23,0.988527,"\text{Not used}","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}","Not used",1,"(x^2*(a*(b*x^n)^p)^q)/(n*p*q + 2)","B"
192,1,21,21,0.978564,"\text{Not used}","int((a*(b*x^n)^p)^q,x)","\frac{x\,{\left(a\,{\left(b\,x^n\right)}^p\right)}^q}{n\,p\,q+1}","Not used",1,"(x*(a*(b*x^n)^p)^q)/(n*p*q + 1)","B"
193,0,-1,21,0.000000,"\text{Not used}","int((a*(b*x^n)^p)^q/x,x)","\int \frac{{\left(a\,{\left(b\,x^n\right)}^p\right)}^q}{x} \,d x","Not used",1,"int((a*(b*x^n)^p)^q/x, x)","F"
194,0,-1,25,0.000000,"\text{Not used}","int((a*(b*x^n)^p)^q/x^2,x)","\int \frac{{\left(a\,{\left(b\,x^n\right)}^p\right)}^q}{x^2} \,d x","Not used",1,"int((a*(b*x^n)^p)^q/x^2, x)","F"
195,0,-1,25,0.000000,"\text{Not used}","int((a*(b*x^n)^p)^q/x^3,x)","\int \frac{{\left(a\,{\left(b\,x^n\right)}^p\right)}^q}{x^3} \,d x","Not used",1,"int((a*(b*x^n)^p)^q/x^3, x)","F"
196,1,24,25,1.010856,"\text{Not used}","int(x^2/(a*(b*x^m)^n)^(1/(m*n)),x)","\frac{x^3}{2\,{\left(a\,{\left(b\,x^m\right)}^n\right)}^{\frac{1}{m\,n}}}","Not used",1,"x^3/(2*(a*(b*x^m)^n)^(1/(m*n)))","B"
197,1,23,22,0.983093,"\text{Not used}","int(x/(a*(b*x^m)^n)^(1/(m*n)),x)","\frac{x^2}{{\left(a\,{\left(b\,x^m\right)}^n\right)}^{\frac{1}{m\,n}}}","Not used",1,"x^2/(a*(b*x^m)^n)^(1/(m*n))","B"
198,0,-1,22,0.000000,"\text{Not used}","int(1/(a*(b*x^m)^n)^(1/(m*n)),x)","\int \frac{1}{{\left(a\,{\left(b\,x^m\right)}^n\right)}^{\frac{1}{m\,n}}} \,d x","Not used",1,"int(1/(a*(b*x^m)^n)^(1/(m*n)), x)","F"
199,1,21,20,0.965378,"\text{Not used}","int(1/(x*(a*(b*x^m)^n)^(1/(m*n))),x)","-\frac{1}{{\left(a\,{\left(b\,x^m\right)}^n\right)}^{\frac{1}{m\,n}}}","Not used",1,"-1/(a*(b*x^m)^n)^(1/(m*n))","B"
200,0,-1,25,0.000000,"\text{Not used}","int(1/(x^2*(a*(b*x^m)^n)^(1/(m*n))),x)","\int \frac{1}{x^2\,{\left(a\,{\left(b\,x^m\right)}^n\right)}^{\frac{1}{m\,n}}} \,d x","Not used",1,"int(1/(x^2*(a*(b*x^m)^n)^(1/(m*n))), x)","F"
201,1,22,24,1.021282,"\text{Not used}","int(x^(2 - n*p*q)*(a*(b*x^n)^p)^q,x)","\frac{x^{3-n\,p\,q}\,{\left(a\,{\left(b\,x^n\right)}^p\right)}^q}{3}","Not used",1,"(x^(3 - n*p*q)*(a*(b*x^n)^p)^q)/3","B"
202,1,22,24,1.004568,"\text{Not used}","int(x^(1 - n*p*q)*(a*(b*x^n)^p)^q,x)","\frac{x^{2-n\,p\,q}\,{\left(a\,{\left(b\,x^n\right)}^p\right)}^q}{2}","Not used",1,"(x^(2 - n*p*q)*(a*(b*x^n)^p)^q)/2","B"
203,1,21,21,0.997004,"\text{Not used}","int((a*(b*x^n)^p)^q/x^(n*p*q),x)","x^{1-n\,p\,q}\,{\left(a\,{\left(b\,x^n\right)}^p\right)}^q","Not used",1,"x^(1 - n*p*q)*(a*(b*x^n)^p)^q","B"
204,0,-1,21,0.000000,"\text{Not used}","int((a*(b*x^n)^p)^q/x^(n*p*q + 1),x)","\int \frac{{\left(a\,{\left(b\,x^n\right)}^p\right)}^q}{x^{n\,p\,q+1}} \,d x","Not used",1,"int((a*(b*x^n)^p)^q/x^(n*p*q + 1), x)","F"
205,1,23,22,1.006329,"\text{Not used}","int((a*(b*x^n)^p)^q/x^(n*p*q + 2),x)","-\frac{{\left(a\,{\left(b\,x^n\right)}^p\right)}^q}{x^{n\,p\,q+1}}","Not used",1,"-(a*(b*x^n)^p)^q/x^(n*p*q + 1)","B"
206,1,13,17,0.020946,"\text{Not used}","int(x^3*(a + b*x^3),x)","\frac{b\,x^7}{7}+\frac{a\,x^4}{4}","Not used",1,"(a*x^4)/4 + (b*x^7)/7","B"
207,1,13,17,0.019315,"\text{Not used}","int(x^2*(a + b*x^3),x)","\frac{b\,x^6}{6}+\frac{a\,x^3}{3}","Not used",1,"(a*x^3)/3 + (b*x^6)/6","B"
208,1,13,17,0.019319,"\text{Not used}","int(x*(a + b*x^3),x)","\frac{b\,x^5}{5}+\frac{a\,x^2}{2}","Not used",1,"(a*x^2)/2 + (b*x^5)/5","B"
209,1,10,12,0.017734,"\text{Not used}","int(a + b*x^3,x)","\frac{b\,x^4}{4}+a\,x","Not used",1,"a*x + (b*x^4)/4","B"
210,1,11,13,0.022094,"\text{Not used}","int((a + b*x^3)/x,x)","\frac{b\,x^3}{3}+a\,\ln\left(x\right)","Not used",1,"(b*x^3)/3 + a*log(x)","B"
211,1,13,15,0.024296,"\text{Not used}","int((a + b*x^3)/x^2,x)","\frac{b\,x^2}{2}-\frac{a}{x}","Not used",1,"(b*x^2)/2 - a/x","B"
212,1,10,12,0.023193,"\text{Not used}","int((a + b*x^3)/x^3,x)","b\,x-\frac{a}{2\,x^2}","Not used",1,"b*x - a/(2*x^2)","B"
213,1,11,13,0.954071,"\text{Not used}","int((a + b*x^3)/x^4,x)","b\,\ln\left(x\right)-\frac{a}{3\,x^3}","Not used",1,"b*log(x) - a/(3*x^3)","B"
214,1,13,15,0.023083,"\text{Not used}","int((a + b*x^3)/x^5,x)","-\frac{4\,b\,x^3+a}{4\,x^4}","Not used",1,"-(a + 4*b*x^3)/(4*x^4)","B"
215,1,15,17,0.025214,"\text{Not used}","int((a + b*x^3)/x^6,x)","-\frac{5\,b\,x^3+2\,a}{10\,x^5}","Not used",1,"-(2*a + 5*b*x^3)/(10*x^5)","B"
216,1,13,17,0.025483,"\text{Not used}","int((a + b*x^3)/x^7,x)","-\frac{2\,b\,x^3+a}{6\,x^6}","Not used",1,"-(a + 2*b*x^3)/(6*x^6)","B"
217,1,15,17,0.026231,"\text{Not used}","int((a + b*x^3)/x^8,x)","-\frac{7\,b\,x^3+4\,a}{28\,x^7}","Not used",1,"-(4*a + 7*b*x^3)/(28*x^7)","B"
218,1,24,30,0.035539,"\text{Not used}","int(x^4*(a + b*x^3)^2,x)","\frac{a^2\,x^5}{5}+\frac{a\,b\,x^8}{4}+\frac{b^2\,x^{11}}{11}","Not used",1,"(a^2*x^5)/5 + (b^2*x^11)/11 + (a*b*x^8)/4","B"
219,1,24,30,0.030412,"\text{Not used}","int(x^3*(a + b*x^3)^2,x)","\frac{a^2\,x^4}{4}+\frac{2\,a\,b\,x^7}{7}+\frac{b^2\,x^{10}}{10}","Not used",1,"(a^2*x^4)/4 + (b^2*x^10)/10 + (2*a*b*x^7)/7","B"
220,1,24,16,0.032301,"\text{Not used}","int(x^2*(a + b*x^3)^2,x)","\frac{a^2\,x^3}{3}+\frac{a\,b\,x^6}{3}+\frac{b^2\,x^9}{9}","Not used",1,"(a^2*x^3)/3 + (b^2*x^9)/9 + (a*b*x^6)/3","B"
221,1,24,30,0.030925,"\text{Not used}","int(x*(a + b*x^3)^2,x)","\frac{a^2\,x^2}{2}+\frac{2\,a\,b\,x^5}{5}+\frac{b^2\,x^8}{8}","Not used",1,"(a^2*x^2)/2 + (b^2*x^8)/8 + (2*a*b*x^5)/5","B"
222,1,21,25,0.027882,"\text{Not used}","int((a + b*x^3)^2,x)","a^2\,x+\frac{a\,b\,x^4}{2}+\frac{b^2\,x^7}{7}","Not used",1,"a^2*x + (b^2*x^7)/7 + (a*b*x^4)/2","B"
223,1,22,26,0.027731,"\text{Not used}","int((a + b*x^3)^2/x,x)","a^2\,\ln\left(x\right)+\frac{b^2\,x^6}{6}+\frac{2\,a\,b\,x^3}{3}","Not used",1,"a^2*log(x) + (b^2*x^6)/6 + (2*a*b*x^3)/3","B"
224,1,24,25,0.031308,"\text{Not used}","int((a + b*x^3)^2/x^2,x)","\frac{-a^2+a\,b\,x^3+\frac{b^2\,x^6}{5}}{x}","Not used",1,"((b^2*x^6)/5 - a^2 + a*b*x^3)/x","B"
225,1,22,26,0.031287,"\text{Not used}","int((a + b*x^3)^2/x^3,x)","\frac{b^2\,x^4}{4}-\frac{a^2}{2\,x^2}+2\,a\,b\,x","Not used",1,"(b^2*x^4)/4 - a^2/(2*x^2) + 2*a*b*x","B"
226,1,23,27,0.029303,"\text{Not used}","int((a + b*x^3)^2/x^4,x)","\frac{b^2\,x^3}{3}-\frac{a^2}{3\,x^3}+2\,a\,b\,\ln\left(x\right)","Not used",1,"(b^2*x^3)/3 - a^2/(3*x^3) + 2*a*b*log(x)","B"
227,1,27,28,0.026727,"\text{Not used}","int((a + b*x^3)^2/x^5,x)","\frac{b^2\,x^2}{2}-\frac{\frac{a^2}{4}+2\,b\,a\,x^3}{x^4}","Not used",1,"(b^2*x^2)/2 - (a^2/4 + 2*a*b*x^3)/x^4","B"
228,1,23,23,0.025586,"\text{Not used}","int((a + b*x^3)^2/x^6,x)","b^2\,x-\frac{\frac{a^2}{5}+b\,a\,x^3}{x^5}","Not used",1,"b^2*x - (a^2/5 + a*b*x^3)/x^5","B"
229,1,25,26,0.043187,"\text{Not used}","int((a + b*x^3)^2/x^7,x)","b^2\,\ln\left(x\right)-\frac{\frac{a^2}{6}+\frac{2\,b\,a\,x^3}{3}}{x^6}","Not used",1,"b^2*log(x) - (a^2/6 + (2*a*b*x^3)/3)/x^6","B"
230,1,25,28,0.032948,"\text{Not used}","int((a + b*x^3)^2/x^8,x)","-\frac{\frac{a^2}{7}+\frac{a\,b\,x^3}{2}+b^2\,x^6}{x^7}","Not used",1,"-(a^2/7 + b^2*x^6 + (a*b*x^3)/2)/x^7","B"
231,1,26,30,0.034744,"\text{Not used}","int((a + b*x^3)^2/x^9,x)","-\frac{\frac{a^2}{8}+\frac{2\,a\,b\,x^3}{5}+\frac{b^2\,x^6}{2}}{x^8}","Not used",1,"-(a^2/8 + (b^2*x^6)/2 + (2*a*b*x^3)/5)/x^8","B"
232,1,26,19,0.034507,"\text{Not used}","int((a + b*x^3)^2/x^10,x)","-\frac{\frac{a^2}{9}+\frac{a\,b\,x^3}{3}+\frac{b^2\,x^6}{3}}{x^9}","Not used",1,"-(a^2/9 + (b^2*x^6)/3 + (a*b*x^3)/3)/x^9","B"
233,1,26,30,0.950424,"\text{Not used}","int((a + b*x^3)^2/x^11,x)","-\frac{\frac{a^2}{10}+\frac{2\,a\,b\,x^3}{7}+\frac{b^2\,x^6}{4}}{x^{10}}","Not used",1,"-(a^2/10 + (b^2*x^6)/4 + (2*a*b*x^3)/7)/x^10","B"
234,1,26,30,0.035693,"\text{Not used}","int((a + b*x^3)^2/x^12,x)","-\frac{\frac{a^2}{11}+\frac{a\,b\,x^3}{4}+\frac{b^2\,x^6}{5}}{x^{11}}","Not used",1,"-(a^2/11 + (b^2*x^6)/5 + (a*b*x^3)/4)/x^11","B"
235,1,26,30,0.036657,"\text{Not used}","int((a + b*x^3)^2/x^13,x)","-\frac{\frac{a^2}{12}+\frac{2\,a\,b\,x^3}{9}+\frac{b^2\,x^6}{6}}{x^{12}}","Not used",1,"-(a^2/12 + (b^2*x^6)/6 + (2*a*b*x^3)/9)/x^12","B"
236,1,35,43,0.040142,"\text{Not used}","int(x^14*(a + b*x^3)^3,x)","\frac{a^3\,x^{15}}{15}+\frac{a^2\,b\,x^{18}}{6}+\frac{a\,b^2\,x^{21}}{7}+\frac{b^3\,x^{24}}{24}","Not used",1,"(a^3*x^15)/15 + (b^3*x^24)/24 + (a^2*b*x^18)/6 + (a*b^2*x^21)/7","B"
237,1,35,43,0.041109,"\text{Not used}","int(x^11*(a + b*x^3)^3,x)","\frac{a^3\,x^{12}}{12}+\frac{a^2\,b\,x^{15}}{5}+\frac{a\,b^2\,x^{18}}{6}+\frac{b^3\,x^{21}}{21}","Not used",1,"(a^3*x^12)/12 + (b^3*x^21)/21 + (a^2*b*x^15)/5 + (a*b^2*x^18)/6","B"
238,1,35,43,0.039741,"\text{Not used}","int(x^8*(a + b*x^3)^3,x)","\frac{a^3\,x^9}{9}+\frac{a^2\,b\,x^{12}}{4}+\frac{a\,b^2\,x^{15}}{5}+\frac{b^3\,x^{18}}{18}","Not used",1,"(a^3*x^9)/9 + (b^3*x^18)/18 + (a^2*b*x^12)/4 + (a*b^2*x^15)/5","B"
239,1,35,34,0.041411,"\text{Not used}","int(x^5*(a + b*x^3)^3,x)","\frac{a^3\,x^6}{6}+\frac{a^2\,b\,x^9}{3}+\frac{a\,b^2\,x^{12}}{4}+\frac{b^3\,x^{15}}{15}","Not used",1,"(a^3*x^6)/6 + (b^3*x^15)/15 + (a^2*b*x^9)/3 + (a*b^2*x^12)/4","B"
240,1,35,16,0.039407,"\text{Not used}","int(x^2*(a + b*x^3)^3,x)","\frac{a^3\,x^3}{3}+\frac{a^2\,b\,x^6}{2}+\frac{a\,b^2\,x^9}{3}+\frac{b^3\,x^{12}}{12}","Not used",1,"(a^3*x^3)/3 + (b^3*x^12)/12 + (a^2*b*x^6)/2 + (a*b^2*x^9)/3","B"
241,1,32,36,0.034101,"\text{Not used}","int((a + b*x^3)^3/x,x)","a^3\,\ln\left(x\right)+\frac{b^3\,x^9}{9}+a^2\,b\,x^3+\frac{a\,b^2\,x^6}{2}","Not used",1,"a^3*log(x) + (b^3*x^9)/9 + a^2*b*x^3 + (a*b^2*x^6)/2","B"
242,1,33,37,0.033364,"\text{Not used}","int((a + b*x^3)^3/x^4,x)","\frac{b^3\,x^6}{6}-\frac{a^3}{3\,x^3}+a\,b^2\,x^3+3\,a^2\,b\,\ln\left(x\right)","Not used",1,"(b^3*x^6)/6 - a^3/(3*x^3) + a*b^2*x^3 + 3*a^2*b*log(x)","B"
243,1,36,38,0.944736,"\text{Not used}","int((a + b*x^3)^3/x^7,x)","\frac{b^3\,x^3}{3}-\frac{\frac{a^3}{6}+b\,a^2\,x^3}{x^6}+3\,a\,b^2\,\ln\left(x\right)","Not used",1,"(b^3*x^3)/3 - (a^3/6 + a^2*b*x^3)/x^6 + 3*a*b^2*log(x)","B"
244,1,35,37,0.947354,"\text{Not used}","int((a + b*x^3)^3/x^10,x)","b^3\,\ln\left(x\right)-\frac{\frac{a^3}{9}+\frac{a^2\,b\,x^3}{2}+a\,b^2\,x^6}{x^9}","Not used",1,"b^3*log(x) - (a^3/9 + (a^2*b*x^3)/2 + a*b^2*x^6)/x^9","B"
245,1,37,19,0.026923,"\text{Not used}","int((a + b*x^3)^3/x^13,x)","-\frac{\frac{a^3}{12}+\frac{a^2\,b\,x^3}{3}+\frac{a\,b^2\,x^6}{2}+\frac{b^3\,x^9}{3}}{x^{12}}","Not used",1,"-(a^3/12 + (b^3*x^9)/3 + (a^2*b*x^3)/3 + (a*b^2*x^6)/2)/x^12","B"
246,1,37,40,0.029558,"\text{Not used}","int((a + b*x^3)^3/x^16,x)","-\frac{\frac{a^3}{15}+\frac{a^2\,b\,x^3}{4}+\frac{a\,b^2\,x^6}{3}+\frac{b^3\,x^9}{6}}{x^{15}}","Not used",1,"-(a^3/15 + (b^3*x^9)/6 + (a^2*b*x^3)/4 + (a*b^2*x^6)/3)/x^15","B"
247,1,37,43,0.031821,"\text{Not used}","int((a + b*x^3)^3/x^19,x)","-\frac{\frac{a^3}{18}+\frac{a^2\,b\,x^3}{5}+\frac{a\,b^2\,x^6}{4}+\frac{b^3\,x^9}{9}}{x^{18}}","Not used",1,"-(a^3/18 + (b^3*x^9)/9 + (a^2*b*x^3)/5 + (a*b^2*x^6)/4)/x^18","B"
248,1,37,43,0.031162,"\text{Not used}","int((a + b*x^3)^3/x^22,x)","-\frac{\frac{a^3}{21}+\frac{a^2\,b\,x^3}{6}+\frac{a\,b^2\,x^6}{5}+\frac{b^3\,x^9}{12}}{x^{21}}","Not used",1,"-(a^3/21 + (b^3*x^9)/12 + (a^2*b*x^3)/6 + (a*b^2*x^6)/5)/x^21","B"
249,1,35,43,0.040393,"\text{Not used}","int(x^4*(a + b*x^3)^3,x)","\frac{a^3\,x^5}{5}+\frac{3\,a^2\,b\,x^8}{8}+\frac{3\,a\,b^2\,x^{11}}{11}+\frac{b^3\,x^{14}}{14}","Not used",1,"(a^3*x^5)/5 + (b^3*x^14)/14 + (3*a^2*b*x^8)/8 + (3*a*b^2*x^11)/11","B"
250,1,35,43,0.040342,"\text{Not used}","int(x^3*(a + b*x^3)^3,x)","\frac{a^3\,x^4}{4}+\frac{3\,a^2\,b\,x^7}{7}+\frac{3\,a\,b^2\,x^{10}}{10}+\frac{b^3\,x^{13}}{13}","Not used",1,"(a^3*x^4)/4 + (b^3*x^13)/13 + (3*a^2*b*x^7)/7 + (3*a*b^2*x^10)/10","B"
251,1,35,43,0.039469,"\text{Not used}","int(x*(a + b*x^3)^3,x)","\frac{a^3\,x^2}{2}+\frac{3\,a^2\,b\,x^5}{5}+\frac{3\,a\,b^2\,x^8}{8}+\frac{b^3\,x^{11}}{11}","Not used",1,"(a^3*x^2)/2 + (b^3*x^11)/11 + (3*a^2*b*x^5)/5 + (3*a*b^2*x^8)/8","B"
252,1,32,38,0.038482,"\text{Not used}","int((a + b*x^3)^3,x)","a^3\,x+\frac{3\,a^2\,b\,x^4}{4}+\frac{3\,a\,b^2\,x^7}{7}+\frac{b^3\,x^{10}}{10}","Not used",1,"a^3*x + (b^3*x^10)/10 + (3*a^2*b*x^4)/4 + (3*a*b^2*x^7)/7","B"
253,1,35,41,0.042227,"\text{Not used}","int((a + b*x^3)^3/x^2,x)","\frac{b^3\,x^8}{8}-\frac{a^3}{x}+\frac{3\,a^2\,b\,x^2}{2}+\frac{3\,a\,b^2\,x^5}{5}","Not used",1,"(b^3*x^8)/8 - a^3/x + (3*a^2*b*x^2)/2 + (3*a*b^2*x^5)/5","B"
254,1,33,39,0.043072,"\text{Not used}","int((a + b*x^3)^3/x^3,x)","\frac{b^3\,x^7}{7}-\frac{a^3}{2\,x^2}+\frac{3\,a\,b^2\,x^4}{4}+3\,a^2\,b\,x","Not used",1,"(b^3*x^7)/7 - a^3/(2*x^2) + (3*a*b^2*x^4)/4 + 3*a^2*b*x","B"
255,1,38,41,0.997442,"\text{Not used}","int((a + b*x^3)^3/x^5,x)","\frac{b^3\,x^5}{5}-\frac{\frac{a^3}{4}+3\,b\,a^2\,x^3}{x^4}+\frac{3\,a\,b^2\,x^2}{2}","Not used",1,"(b^3*x^5)/5 - (a^3/4 + 3*a^2*b*x^3)/x^4 + (3*a*b^2*x^2)/2","B"
256,1,36,39,0.037818,"\text{Not used}","int((a + b*x^3)^3/x^6,x)","\frac{b^3\,x^4}{4}-\frac{\frac{a^3}{5}+\frac{3\,b\,a^2\,x^3}{2}}{x^5}+3\,a\,b^2\,x","Not used",1,"(b^3*x^4)/4 - (a^3/5 + (3*a^2*b*x^3)/2)/x^5 + 3*a*b^2*x","B"
257,1,38,41,0.975471,"\text{Not used}","int((a + b*x^3)^3/x^8,x)","\frac{b^3\,x^2}{2}-\frac{\frac{a^3}{7}+\frac{3\,a^2\,b\,x^3}{4}+3\,a\,b^2\,x^6}{x^7}","Not used",1,"(b^3*x^2)/2 - (a^3/7 + (3*a^2*b*x^3)/4 + 3*a*b^2*x^6)/x^7","B"
258,1,57,69,0.024692,"\text{Not used}","int(x^17*(a + b*x^3)^5,x)","\frac{a^5\,x^{18}}{18}+\frac{5\,a^4\,b\,x^{21}}{21}+\frac{5\,a^3\,b^2\,x^{24}}{12}+\frac{10\,a^2\,b^3\,x^{27}}{27}+\frac{a\,b^4\,x^{30}}{6}+\frac{b^5\,x^{33}}{33}","Not used",1,"(a^5*x^18)/18 + (b^5*x^33)/33 + (5*a^4*b*x^21)/21 + (a*b^4*x^30)/6 + (5*a^3*b^2*x^24)/12 + (10*a^2*b^3*x^27)/27","B"
259,1,57,69,0.023678,"\text{Not used}","int(x^14*(a + b*x^3)^5,x)","\frac{a^5\,x^{15}}{15}+\frac{5\,a^4\,b\,x^{18}}{18}+\frac{10\,a^3\,b^2\,x^{21}}{21}+\frac{5\,a^2\,b^3\,x^{24}}{12}+\frac{5\,a\,b^4\,x^{27}}{27}+\frac{b^5\,x^{30}}{30}","Not used",1,"(a^5*x^15)/15 + (b^5*x^30)/30 + (5*a^4*b*x^18)/18 + (5*a*b^4*x^27)/27 + (10*a^3*b^2*x^21)/21 + (5*a^2*b^3*x^24)/12","B"
260,1,57,72,0.023738,"\text{Not used}","int(x^11*(a + b*x^3)^5,x)","\frac{a^5\,x^{12}}{12}+\frac{a^4\,b\,x^{15}}{3}+\frac{5\,a^3\,b^2\,x^{18}}{9}+\frac{10\,a^2\,b^3\,x^{21}}{21}+\frac{5\,a\,b^4\,x^{24}}{24}+\frac{b^5\,x^{27}}{27}","Not used",1,"(a^5*x^12)/12 + (b^5*x^27)/27 + (a^4*b*x^15)/3 + (5*a*b^4*x^24)/24 + (5*a^3*b^2*x^18)/9 + (10*a^2*b^3*x^21)/21","B"
261,1,57,53,0.026013,"\text{Not used}","int(x^8*(a + b*x^3)^5,x)","\frac{a^5\,x^9}{9}+\frac{5\,a^4\,b\,x^{12}}{12}+\frac{2\,a^3\,b^2\,x^{15}}{3}+\frac{5\,a^2\,b^3\,x^{18}}{9}+\frac{5\,a\,b^4\,x^{21}}{21}+\frac{b^5\,x^{24}}{24}","Not used",1,"(a^5*x^9)/9 + (b^5*x^24)/24 + (5*a^4*b*x^12)/12 + (5*a*b^4*x^21)/21 + (2*a^3*b^2*x^15)/3 + (5*a^2*b^3*x^18)/9","B"
262,1,57,34,0.023759,"\text{Not used}","int(x^5*(a + b*x^3)^5,x)","\frac{a^5\,x^6}{6}+\frac{5\,a^4\,b\,x^9}{9}+\frac{5\,a^3\,b^2\,x^{12}}{6}+\frac{2\,a^2\,b^3\,x^{15}}{3}+\frac{5\,a\,b^4\,x^{18}}{18}+\frac{b^5\,x^{21}}{21}","Not used",1,"(a^5*x^6)/6 + (b^5*x^21)/21 + (5*a^4*b*x^9)/9 + (5*a*b^4*x^18)/18 + (5*a^3*b^2*x^12)/6 + (2*a^2*b^3*x^15)/3","B"
263,1,57,16,0.025219,"\text{Not used}","int(x^2*(a + b*x^3)^5,x)","\frac{a^5\,x^3}{3}+\frac{5\,a^4\,b\,x^6}{6}+\frac{10\,a^3\,b^2\,x^9}{9}+\frac{5\,a^2\,b^3\,x^{12}}{6}+\frac{a\,b^4\,x^{15}}{3}+\frac{b^5\,x^{18}}{18}","Not used",1,"(a^5*x^3)/3 + (b^5*x^18)/18 + (5*a^4*b*x^6)/6 + (a*b^4*x^15)/3 + (10*a^3*b^2*x^9)/9 + (5*a^2*b^3*x^12)/6","B"
264,1,55,65,0.027852,"\text{Not used}","int((a + b*x^3)^5/x,x)","a^5\,\ln\left(x\right)+\frac{b^5\,x^{15}}{15}+\frac{5\,a^4\,b\,x^3}{3}+\frac{5\,a\,b^4\,x^{12}}{12}+\frac{5\,a^3\,b^2\,x^6}{3}+\frac{10\,a^2\,b^3\,x^9}{9}","Not used",1,"a^5*log(x) + (b^5*x^15)/15 + (5*a^4*b*x^3)/3 + (5*a*b^4*x^12)/12 + (5*a^3*b^2*x^6)/3 + (10*a^2*b^3*x^9)/9","B"
265,1,56,66,0.029849,"\text{Not used}","int((a + b*x^3)^5/x^4,x)","\frac{b^5\,x^{12}}{12}-\frac{a^5}{3\,x^3}+\frac{5\,a\,b^4\,x^9}{9}+5\,a^4\,b\,\ln\left(x\right)+\frac{10\,a^3\,b^2\,x^3}{3}+\frac{5\,a^2\,b^3\,x^6}{3}","Not used",1,"(b^5*x^12)/12 - a^5/(3*x^3) + (5*a*b^4*x^9)/9 + 5*a^4*b*log(x) + (10*a^3*b^2*x^3)/3 + (5*a^2*b^3*x^6)/3","B"
266,1,59,66,0.029065,"\text{Not used}","int((a + b*x^3)^5/x^7,x)","\frac{b^5\,x^9}{9}-\frac{\frac{a^5}{6}+\frac{5\,b\,a^4\,x^3}{3}}{x^6}+\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)","Not used",1,"(b^5*x^9)/9 - (a^5/6 + (5*a^4*b*x^3)/3)/x^6 + (5*a*b^4*x^6)/6 + (10*a^2*b^3*x^3)/3 + 10*a^3*b^2*log(x)","B"
267,1,59,66,0.038330,"\text{Not used}","int((a + b*x^3)^5/x^10,x)","\frac{b^5\,x^6}{6}-\frac{\frac{a^5}{9}+\frac{5\,a^4\,b\,x^3}{6}+\frac{10\,a^3\,b^2\,x^6}{3}}{x^9}+\frac{5\,a\,b^4\,x^3}{3}+10\,a^2\,b^3\,\ln\left(x\right)","Not used",1,"(b^5*x^6)/6 - (a^5/9 + (5*a^4*b*x^3)/6 + (10*a^3*b^2*x^6)/3)/x^9 + (5*a*b^4*x^3)/3 + 10*a^2*b^3*log(x)","B"
268,1,59,66,0.043890,"\text{Not used}","int((a + b*x^3)^5/x^13,x)","\frac{b^5\,x^3}{3}-\frac{\frac{a^5}{12}+\frac{5\,a^4\,b\,x^3}{9}+\frac{5\,a^3\,b^2\,x^6}{3}+\frac{10\,a^2\,b^3\,x^9}{3}}{x^{12}}+5\,a\,b^4\,\ln\left(x\right)","Not used",1,"(b^5*x^3)/3 - (a^5/12 + (5*a^4*b*x^3)/9 + (5*a^3*b^2*x^6)/3 + (10*a^2*b^3*x^9)/3)/x^12 + 5*a*b^4*log(x)","B"
269,1,58,65,1.011519,"\text{Not used}","int((a + b*x^3)^5/x^16,x)","b^5\,\ln\left(x\right)-\frac{\frac{a^5}{15}+\frac{5\,a^4\,b\,x^3}{12}+\frac{10\,a^3\,b^2\,x^6}{9}+\frac{5\,a^2\,b^3\,x^9}{3}+\frac{5\,a\,b^4\,x^{12}}{3}}{x^{15}}","Not used",1,"b^5*log(x) - (a^5/15 + (5*a^4*b*x^3)/12 + (5*a*b^4*x^12)/3 + (10*a^3*b^2*x^6)/9 + (5*a^2*b^3*x^9)/3)/x^15","B"
270,1,59,19,0.039838,"\text{Not used}","int((a + b*x^3)^5/x^19,x)","-\frac{\frac{a^5}{18}+\frac{a^4\,b\,x^3}{3}+\frac{5\,a^3\,b^2\,x^6}{6}+\frac{10\,a^2\,b^3\,x^9}{9}+\frac{5\,a\,b^4\,x^{12}}{6}+\frac{b^5\,x^{15}}{3}}{x^{18}}","Not used",1,"-(a^5/18 + (b^5*x^15)/3 + (a^4*b*x^3)/3 + (5*a*b^4*x^12)/6 + (5*a^3*b^2*x^6)/6 + (10*a^2*b^3*x^9)/9)/x^18","B"
271,1,59,40,0.953271,"\text{Not used}","int((a + b*x^3)^5/x^22,x)","-\frac{\frac{a^5}{21}+\frac{5\,a^4\,b\,x^3}{18}+\frac{2\,a^3\,b^2\,x^6}{3}+\frac{5\,a^2\,b^3\,x^9}{6}+\frac{5\,a\,b^4\,x^{12}}{9}+\frac{b^5\,x^{15}}{6}}{x^{21}}","Not used",1,"-(a^5/21 + (b^5*x^15)/6 + (5*a^4*b*x^3)/18 + (5*a*b^4*x^12)/9 + (2*a^3*b^2*x^6)/3 + (5*a^2*b^3*x^9)/6)/x^21","B"
272,1,59,62,0.949653,"\text{Not used}","int((a + b*x^3)^5/x^25,x)","-\frac{\frac{a^5}{24}+\frac{5\,a^4\,b\,x^3}{21}+\frac{5\,a^3\,b^2\,x^6}{9}+\frac{2\,a^2\,b^3\,x^9}{3}+\frac{5\,a\,b^4\,x^{12}}{12}+\frac{b^5\,x^{15}}{9}}{x^{24}}","Not used",1,"-(a^5/24 + (b^5*x^15)/9 + (5*a^4*b*x^3)/21 + (5*a*b^4*x^12)/12 + (5*a^3*b^2*x^6)/9 + (2*a^2*b^3*x^9)/3)/x^24","B"
273,1,59,69,0.043835,"\text{Not used}","int((a + b*x^3)^5/x^28,x)","-\frac{\frac{a^5}{27}+\frac{5\,a^4\,b\,x^3}{24}+\frac{10\,a^3\,b^2\,x^6}{21}+\frac{5\,a^2\,b^3\,x^9}{9}+\frac{a\,b^4\,x^{12}}{3}+\frac{b^5\,x^{15}}{12}}{x^{27}}","Not used",1,"-(a^5/27 + (b^5*x^15)/12 + (5*a^4*b*x^3)/24 + (a*b^4*x^12)/3 + (10*a^3*b^2*x^6)/21 + (5*a^2*b^3*x^9)/9)/x^27","B"
274,1,59,69,0.043869,"\text{Not used}","int((a + b*x^3)^5/x^31,x)","-\frac{\frac{a^5}{30}+\frac{5\,a^4\,b\,x^3}{27}+\frac{5\,a^3\,b^2\,x^6}{12}+\frac{10\,a^2\,b^3\,x^9}{21}+\frac{5\,a\,b^4\,x^{12}}{18}+\frac{b^5\,x^{15}}{15}}{x^{30}}","Not used",1,"-(a^5/30 + (b^5*x^15)/15 + (5*a^4*b*x^3)/27 + (5*a*b^4*x^12)/18 + (5*a^3*b^2*x^6)/12 + (10*a^2*b^3*x^9)/21)/x^30","B"
275,1,57,69,0.023989,"\text{Not used}","int(x^4*(a + b*x^3)^5,x)","\frac{a^5\,x^5}{5}+\frac{5\,a^4\,b\,x^8}{8}+\frac{10\,a^3\,b^2\,x^{11}}{11}+\frac{5\,a^2\,b^3\,x^{14}}{7}+\frac{5\,a\,b^4\,x^{17}}{17}+\frac{b^5\,x^{20}}{20}","Not used",1,"(a^5*x^5)/5 + (b^5*x^20)/20 + (5*a^4*b*x^8)/8 + (5*a*b^4*x^17)/17 + (10*a^3*b^2*x^11)/11 + (5*a^2*b^3*x^14)/7","B"
276,1,56,66,0.023828,"\text{Not used}","int(x^3*(a + b*x^3)^5,x)","\frac{a^5\,x^4}{4}+\frac{5\,a^4\,b\,x^7}{7}+a^3\,b^2\,x^{10}+\frac{10\,a^2\,b^3\,x^{13}}{13}+\frac{5\,a\,b^4\,x^{16}}{16}+\frac{b^5\,x^{19}}{19}","Not used",1,"(a^5*x^4)/4 + (b^5*x^19)/19 + (5*a^4*b*x^7)/7 + (5*a*b^4*x^16)/16 + a^3*b^2*x^10 + (10*a^2*b^3*x^13)/13","B"
277,1,56,66,0.023191,"\text{Not used}","int(x*(a + b*x^3)^5,x)","\frac{a^5\,x^2}{2}+a^4\,b\,x^5+\frac{5\,a^3\,b^2\,x^8}{4}+\frac{10\,a^2\,b^3\,x^{11}}{11}+\frac{5\,a\,b^4\,x^{14}}{14}+\frac{b^5\,x^{17}}{17}","Not used",1,"(a^5*x^2)/2 + (b^5*x^17)/17 + a^4*b*x^5 + (5*a*b^4*x^14)/14 + (5*a^3*b^2*x^8)/4 + (10*a^2*b^3*x^11)/11","B"
278,1,53,61,0.022237,"\text{Not used}","int((a + b*x^3)^5,x)","a^5\,x+\frac{5\,a^4\,b\,x^4}{4}+\frac{10\,a^3\,b^2\,x^7}{7}+a^2\,b^3\,x^{10}+\frac{5\,a\,b^4\,x^{13}}{13}+\frac{b^5\,x^{16}}{16}","Not used",1,"a^5*x + (b^5*x^16)/16 + (5*a^4*b*x^4)/4 + (5*a*b^4*x^13)/13 + (10*a^3*b^2*x^7)/7 + a^2*b^3*x^10","B"
279,1,57,65,0.024924,"\text{Not used}","int((a + b*x^3)^5/x^2,x)","\frac{b^5\,x^{14}}{14}-\frac{a^5}{x}+\frac{5\,a^4\,b\,x^2}{2}+\frac{5\,a\,b^4\,x^{11}}{11}+2\,a^3\,b^2\,x^5+\frac{5\,a^2\,b^3\,x^8}{4}","Not used",1,"(b^5*x^14)/14 - a^5/x + (5*a^4*b*x^2)/2 + (5*a*b^4*x^11)/11 + 2*a^3*b^2*x^5 + (5*a^2*b^3*x^8)/4","B"
280,1,55,65,0.025502,"\text{Not used}","int((a + b*x^3)^5/x^3,x)","\frac{b^5\,x^{13}}{13}-\frac{a^5}{2\,x^2}+\frac{a\,b^4\,x^{10}}{2}+\frac{5\,a^3\,b^2\,x^4}{2}+\frac{10\,a^2\,b^3\,x^7}{7}+5\,a^4\,b\,x","Not used",1,"(b^5*x^13)/13 - a^5/(2*x^2) + (a*b^4*x^10)/2 + (5*a^3*b^2*x^4)/2 + (10*a^2*b^3*x^7)/7 + 5*a^4*b*x","B"
281,1,60,63,0.024598,"\text{Not used}","int((a + b*x^3)^5/x^5,x)","\frac{b^5\,x^{11}}{11}-\frac{\frac{a^5}{4}+5\,b\,a^4\,x^3}{x^4}+\frac{5\,a\,b^4\,x^8}{8}+5\,a^3\,b^2\,x^2+2\,a^2\,b^3\,x^5","Not used",1,"(b^5*x^11)/11 - (a^5/4 + 5*a^4*b*x^3)/x^4 + (5*a*b^4*x^8)/8 + 5*a^3*b^2*x^2 + 2*a^2*b^3*x^5","B"
282,1,58,65,0.024284,"\text{Not used}","int((a + b*x^3)^5/x^6,x)","\frac{b^5\,x^{10}}{10}-\frac{\frac{a^5}{5}+\frac{5\,b\,a^4\,x^3}{2}}{x^5}+10\,a^3\,b^2\,x+\frac{5\,a\,b^4\,x^7}{7}+\frac{5\,a^2\,b^3\,x^4}{2}","Not used",1,"(b^5*x^10)/10 - (a^5/5 + (5*a^4*b*x^3)/2)/x^5 + 10*a^3*b^2*x + (5*a*b^4*x^7)/7 + (5*a^2*b^3*x^4)/2","B"
283,1,59,62,0.044656,"\text{Not used}","int((a + b*x^3)^5/x^8,x)","\frac{b^5\,x^8}{8}-\frac{\frac{a^5}{7}+\frac{5\,a^4\,b\,x^3}{4}+10\,a^3\,b^2\,x^6}{x^7}+a\,b^4\,x^5+5\,a^2\,b^3\,x^2","Not used",1,"(b^5*x^8)/8 - (a^5/7 + (5*a^4*b*x^3)/4 + 10*a^3*b^2*x^6)/x^7 + a*b^4*x^5 + 5*a^2*b^3*x^2","B"
284,1,57,61,0.050173,"\text{Not used}","int((a + b*x^3)^5/x^9,x)","\frac{b^5\,x^7}{7}-\frac{\frac{a^5}{8}+a^4\,b\,x^3+5\,a^3\,b^2\,x^6}{x^8}+10\,a^2\,b^3\,x+\frac{5\,a\,b^4\,x^4}{4}","Not used",1,"(b^5*x^7)/7 - (a^5/8 + a^4*b*x^3 + 5*a^3*b^2*x^6)/x^8 + 10*a^2*b^3*x + (5*a*b^4*x^4)/4","B"
285,1,90,129,1.025554,"\text{Not used}","int(x^20*(a + b*x^3)^8,x)","\frac{a^8\,x^{21}}{21}+\frac{a^7\,b\,x^{24}}{3}+\frac{28\,a^6\,b^2\,x^{27}}{27}+\frac{28\,a^5\,b^3\,x^{30}}{15}+\frac{70\,a^4\,b^4\,x^{33}}{33}+\frac{14\,a^3\,b^5\,x^{36}}{9}+\frac{28\,a^2\,b^6\,x^{39}}{39}+\frac{4\,a\,b^7\,x^{42}}{21}+\frac{b^8\,x^{45}}{45}","Not used",1,"(a^8*x^21)/21 + (b^8*x^45)/45 + (a^7*b*x^24)/3 + (4*a*b^7*x^42)/21 + (28*a^6*b^2*x^27)/27 + (28*a^5*b^3*x^30)/15 + (70*a^4*b^4*x^33)/33 + (14*a^3*b^5*x^36)/9 + (28*a^2*b^6*x^39)/39","B"
286,1,90,110,0.088923,"\text{Not used}","int(x^17*(a + b*x^3)^8,x)","\frac{a^8\,x^{18}}{18}+\frac{8\,a^7\,b\,x^{21}}{21}+\frac{7\,a^6\,b^2\,x^{24}}{6}+\frac{56\,a^5\,b^3\,x^{27}}{27}+\frac{7\,a^4\,b^4\,x^{30}}{3}+\frac{56\,a^3\,b^5\,x^{33}}{33}+\frac{7\,a^2\,b^6\,x^{36}}{9}+\frac{8\,a\,b^7\,x^{39}}{39}+\frac{b^8\,x^{42}}{42}","Not used",1,"(a^8*x^18)/18 + (b^8*x^42)/42 + (8*a^7*b*x^21)/21 + (8*a*b^7*x^39)/39 + (7*a^6*b^2*x^24)/6 + (56*a^5*b^3*x^27)/27 + (7*a^4*b^4*x^30)/3 + (56*a^3*b^5*x^33)/33 + (7*a^2*b^6*x^36)/9","B"
287,1,90,91,0.087980,"\text{Not used}","int(x^14*(a + b*x^3)^8,x)","\frac{a^8\,x^{15}}{15}+\frac{4\,a^7\,b\,x^{18}}{9}+\frac{4\,a^6\,b^2\,x^{21}}{3}+\frac{7\,a^5\,b^3\,x^{24}}{3}+\frac{70\,a^4\,b^4\,x^{27}}{27}+\frac{28\,a^3\,b^5\,x^{30}}{15}+\frac{28\,a^2\,b^6\,x^{33}}{33}+\frac{2\,a\,b^7\,x^{36}}{9}+\frac{b^8\,x^{39}}{39}","Not used",1,"(a^8*x^15)/15 + (b^8*x^39)/39 + (4*a^7*b*x^18)/9 + (2*a*b^7*x^36)/9 + (4*a^6*b^2*x^21)/3 + (7*a^5*b^3*x^24)/3 + (70*a^4*b^4*x^27)/27 + (28*a^3*b^5*x^30)/15 + (28*a^2*b^6*x^33)/33","B"
288,1,90,72,1.002244,"\text{Not used}","int(x^11*(a + b*x^3)^8,x)","\frac{a^8\,x^{12}}{12}+\frac{8\,a^7\,b\,x^{15}}{15}+\frac{14\,a^6\,b^2\,x^{18}}{9}+\frac{8\,a^5\,b^3\,x^{21}}{3}+\frac{35\,a^4\,b^4\,x^{24}}{12}+\frac{56\,a^3\,b^5\,x^{27}}{27}+\frac{14\,a^2\,b^6\,x^{30}}{15}+\frac{8\,a\,b^7\,x^{33}}{33}+\frac{b^8\,x^{36}}{36}","Not used",1,"(a^8*x^12)/12 + (b^8*x^36)/36 + (8*a^7*b*x^15)/15 + (8*a*b^7*x^33)/33 + (14*a^6*b^2*x^18)/9 + (8*a^5*b^3*x^21)/3 + (35*a^4*b^4*x^24)/12 + (56*a^3*b^5*x^27)/27 + (14*a^2*b^6*x^30)/15","B"
289,1,90,53,0.086313,"\text{Not used}","int(x^8*(a + b*x^3)^8,x)","\frac{a^8\,x^9}{9}+\frac{2\,a^7\,b\,x^{12}}{3}+\frac{28\,a^6\,b^2\,x^{15}}{15}+\frac{28\,a^5\,b^3\,x^{18}}{9}+\frac{10\,a^4\,b^4\,x^{21}}{3}+\frac{7\,a^3\,b^5\,x^{24}}{3}+\frac{28\,a^2\,b^6\,x^{27}}{27}+\frac{4\,a\,b^7\,x^{30}}{15}+\frac{b^8\,x^{33}}{33}","Not used",1,"(a^8*x^9)/9 + (b^8*x^33)/33 + (2*a^7*b*x^12)/3 + (4*a*b^7*x^30)/15 + (28*a^6*b^2*x^15)/15 + (28*a^5*b^3*x^18)/9 + (10*a^4*b^4*x^21)/3 + (7*a^3*b^5*x^24)/3 + (28*a^2*b^6*x^27)/27","B"
290,1,90,34,0.087197,"\text{Not used}","int(x^5*(a + b*x^3)^8,x)","\frac{a^8\,x^6}{6}+\frac{8\,a^7\,b\,x^9}{9}+\frac{7\,a^6\,b^2\,x^{12}}{3}+\frac{56\,a^5\,b^3\,x^{15}}{15}+\frac{35\,a^4\,b^4\,x^{18}}{9}+\frac{8\,a^3\,b^5\,x^{21}}{3}+\frac{7\,a^2\,b^6\,x^{24}}{6}+\frac{8\,a\,b^7\,x^{27}}{27}+\frac{b^8\,x^{30}}{30}","Not used",1,"(a^8*x^6)/6 + (b^8*x^30)/30 + (8*a^7*b*x^9)/9 + (8*a*b^7*x^27)/27 + (7*a^6*b^2*x^12)/3 + (56*a^5*b^3*x^15)/15 + (35*a^4*b^4*x^18)/9 + (8*a^3*b^5*x^21)/3 + (7*a^2*b^6*x^24)/6","B"
291,1,14,16,0.091244,"\text{Not used}","int(x^2*(a + b*x^3)^8,x)","\frac{{\left(b\,x^3+a\right)}^9}{27\,b}","Not used",1,"(a + b*x^3)^9/(27*b)","B"
292,1,88,104,0.054638,"\text{Not used}","int((a + b*x^3)^8/x,x)","a^8\,\ln\left(x\right)+\frac{b^8\,x^{24}}{24}+\frac{8\,a^7\,b\,x^3}{3}+\frac{8\,a\,b^7\,x^{21}}{21}+\frac{14\,a^6\,b^2\,x^6}{3}+\frac{56\,a^5\,b^3\,x^9}{9}+\frac{35\,a^4\,b^4\,x^{12}}{6}+\frac{56\,a^3\,b^5\,x^{15}}{15}+\frac{14\,a^2\,b^6\,x^{18}}{9}","Not used",1,"a^8*log(x) + (b^8*x^24)/24 + (8*a^7*b*x^3)/3 + (8*a*b^7*x^21)/21 + (14*a^6*b^2*x^6)/3 + (56*a^5*b^3*x^9)/9 + (35*a^4*b^4*x^12)/6 + (56*a^3*b^5*x^15)/15 + (14*a^2*b^6*x^18)/9","B"
293,1,89,105,0.056114,"\text{Not used}","int((a + b*x^3)^8/x^4,x)","\frac{b^8\,x^{21}}{21}-\frac{a^8}{3\,x^3}+\frac{4\,a\,b^7\,x^{18}}{9}+8\,a^7\,b\,\ln\left(x\right)+\frac{28\,a^6\,b^2\,x^3}{3}+\frac{28\,a^5\,b^3\,x^6}{3}+\frac{70\,a^4\,b^4\,x^9}{9}+\frac{14\,a^3\,b^5\,x^{12}}{3}+\frac{28\,a^2\,b^6\,x^{15}}{15}","Not used",1,"(b^8*x^21)/21 - a^8/(3*x^3) + (4*a*b^7*x^18)/9 + 8*a^7*b*log(x) + (28*a^6*b^2*x^3)/3 + (28*a^5*b^3*x^6)/3 + (70*a^4*b^4*x^9)/9 + (14*a^3*b^5*x^12)/3 + (28*a^2*b^6*x^15)/15","B"
294,1,92,105,0.053015,"\text{Not used}","int((a + b*x^3)^8/x^7,x)","\frac{b^8\,x^{18}}{18}-\frac{\frac{a^8}{6}+\frac{8\,b\,a^7\,x^3}{3}}{x^6}+\frac{8\,a\,b^7\,x^{15}}{15}+\frac{56\,a^5\,b^3\,x^3}{3}+\frac{35\,a^4\,b^4\,x^6}{3}+\frac{56\,a^3\,b^5\,x^9}{9}+\frac{7\,a^2\,b^6\,x^{12}}{3}+28\,a^6\,b^2\,\ln\left(x\right)","Not used",1,"(b^8*x^18)/18 - (a^8/6 + (8*a^7*b*x^3)/3)/x^6 + (8*a*b^7*x^15)/15 + (56*a^5*b^3*x^3)/3 + (35*a^4*b^4*x^6)/3 + (56*a^3*b^5*x^9)/9 + (7*a^2*b^6*x^12)/3 + 28*a^6*b^2*log(x)","B"
295,1,92,105,0.960410,"\text{Not used}","int((a + b*x^3)^8/x^10,x)","\frac{b^8\,x^{15}}{15}-\frac{\frac{a^8}{9}+\frac{4\,a^7\,b\,x^3}{3}+\frac{28\,a^6\,b^2\,x^6}{3}}{x^9}+\frac{2\,a\,b^7\,x^{12}}{3}+\frac{70\,a^4\,b^4\,x^3}{3}+\frac{28\,a^3\,b^5\,x^6}{3}+\frac{28\,a^2\,b^6\,x^9}{9}+56\,a^5\,b^3\,\ln\left(x\right)","Not used",1,"(b^8*x^15)/15 - (a^8/9 + (4*a^7*b*x^3)/3 + (28*a^6*b^2*x^6)/3)/x^9 + (2*a*b^7*x^12)/3 + (70*a^4*b^4*x^3)/3 + (28*a^3*b^5*x^6)/3 + (28*a^2*b^6*x^9)/9 + 56*a^5*b^3*log(x)","B"
296,1,92,105,0.964816,"\text{Not used}","int((a + b*x^3)^8/x^13,x)","\frac{b^8\,x^{12}}{12}-\frac{\frac{a^8}{12}+\frac{8\,a^7\,b\,x^3}{9}+\frac{14\,a^6\,b^2\,x^6}{3}+\frac{56\,a^5\,b^3\,x^9}{3}}{x^{12}}+\frac{8\,a\,b^7\,x^9}{9}+\frac{56\,a^3\,b^5\,x^3}{3}+\frac{14\,a^2\,b^6\,x^6}{3}+70\,a^4\,b^4\,\ln\left(x\right)","Not used",1,"(b^8*x^12)/12 - (a^8/12 + (8*a^7*b*x^3)/9 + (14*a^6*b^2*x^6)/3 + (56*a^5*b^3*x^9)/3)/x^12 + (8*a*b^7*x^9)/9 + (56*a^3*b^5*x^3)/3 + (14*a^2*b^6*x^6)/3 + 70*a^4*b^4*log(x)","B"
297,1,92,105,0.050003,"\text{Not used}","int((a + b*x^3)^8/x^16,x)","\frac{b^8\,x^9}{9}-\frac{\frac{a^8}{15}+\frac{2\,a^7\,b\,x^3}{3}+\frac{28\,a^6\,b^2\,x^6}{9}+\frac{28\,a^5\,b^3\,x^9}{3}+\frac{70\,a^4\,b^4\,x^{12}}{3}}{x^{15}}+\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)","Not used",1,"(b^8*x^9)/9 - (a^8/15 + (2*a^7*b*x^3)/3 + (28*a^6*b^2*x^6)/9 + (28*a^5*b^3*x^9)/3 + (70*a^4*b^4*x^12)/3)/x^15 + (4*a*b^7*x^6)/3 + (28*a^2*b^6*x^3)/3 + 56*a^3*b^5*log(x)","B"
298,1,92,105,0.975626,"\text{Not used}","int((a + b*x^3)^8/x^19,x)","\frac{b^8\,x^6}{6}-\frac{\frac{a^8}{18}+\frac{8\,a^7\,b\,x^3}{15}+\frac{7\,a^6\,b^2\,x^6}{3}+\frac{56\,a^5\,b^3\,x^9}{9}+\frac{35\,a^4\,b^4\,x^{12}}{3}+\frac{56\,a^3\,b^5\,x^{15}}{3}}{x^{18}}+\frac{8\,a\,b^7\,x^3}{3}+28\,a^2\,b^6\,\ln\left(x\right)","Not used",1,"(b^8*x^6)/6 - (a^8/18 + (8*a^7*b*x^3)/15 + (7*a^6*b^2*x^6)/3 + (56*a^5*b^3*x^9)/9 + (35*a^4*b^4*x^12)/3 + (56*a^3*b^5*x^15)/3)/x^18 + (8*a*b^7*x^3)/3 + 28*a^2*b^6*log(x)","B"
299,1,94,105,0.991898,"\text{Not used}","int((a + b*x^3)^8/x^22,x)","-\frac{15\,a^8-105\,b^8\,x^{24}+140\,a^7\,b\,x^3+588\,a^6\,b^2\,x^6+1470\,a^5\,b^3\,x^9+2450\,a^4\,b^4\,x^{12}+2940\,a^3\,b^5\,x^{15}+2940\,a^2\,b^6\,x^{18}-2520\,a\,b^7\,x^{21}\,\ln\left(x\right)}{315\,x^{21}}","Not used",1,"-(15*a^8 - 105*b^8*x^24 + 140*a^7*b*x^3 + 588*a^6*b^2*x^6 + 1470*a^5*b^3*x^9 + 2450*a^4*b^4*x^12 + 2940*a^3*b^5*x^15 + 2940*a^2*b^6*x^18 - 2520*a*b^7*x^21*log(x))/(315*x^21)","B"
300,1,91,104,0.071757,"\text{Not used}","int((a + b*x^3)^8/x^25,x)","b^8\,\ln\left(x\right)-\frac{\frac{a^8}{24}+\frac{8\,a^7\,b\,x^3}{21}+\frac{14\,a^6\,b^2\,x^6}{9}+\frac{56\,a^5\,b^3\,x^9}{15}+\frac{35\,a^4\,b^4\,x^{12}}{6}+\frac{56\,a^3\,b^5\,x^{15}}{9}+\frac{14\,a^2\,b^6\,x^{18}}{3}+\frac{8\,a\,b^7\,x^{21}}{3}}{x^{24}}","Not used",1,"b^8*log(x) - (a^8/24 + (8*a^7*b*x^3)/21 + (8*a*b^7*x^21)/3 + (14*a^6*b^2*x^6)/9 + (56*a^5*b^3*x^9)/15 + (35*a^4*b^4*x^12)/6 + (56*a^3*b^5*x^15)/9 + (14*a^2*b^6*x^18)/3)/x^24","B"
301,1,92,19,0.996976,"\text{Not used}","int((a + b*x^3)^8/x^28,x)","-\frac{\frac{a^8}{27}+\frac{a^7\,b\,x^3}{3}+\frac{4\,a^6\,b^2\,x^6}{3}+\frac{28\,a^5\,b^3\,x^9}{9}+\frac{14\,a^4\,b^4\,x^{12}}{3}+\frac{14\,a^3\,b^5\,x^{15}}{3}+\frac{28\,a^2\,b^6\,x^{18}}{9}+\frac{4\,a\,b^7\,x^{21}}{3}+\frac{b^8\,x^{24}}{3}}{x^{27}}","Not used",1,"-(a^8/27 + (b^8*x^24)/3 + (a^7*b*x^3)/3 + (4*a*b^7*x^21)/3 + (4*a^6*b^2*x^6)/3 + (28*a^5*b^3*x^9)/9 + (14*a^4*b^4*x^12)/3 + (14*a^3*b^5*x^15)/3 + (28*a^2*b^6*x^18)/9)/x^27","B"
302,1,92,40,0.982151,"\text{Not used}","int((a + b*x^3)^8/x^31,x)","-\frac{\frac{a^8}{30}+\frac{8\,a^7\,b\,x^3}{27}+\frac{7\,a^6\,b^2\,x^6}{6}+\frac{8\,a^5\,b^3\,x^9}{3}+\frac{35\,a^4\,b^4\,x^{12}}{9}+\frac{56\,a^3\,b^5\,x^{15}}{15}+\frac{7\,a^2\,b^6\,x^{18}}{3}+\frac{8\,a\,b^7\,x^{21}}{9}+\frac{b^8\,x^{24}}{6}}{x^{30}}","Not used",1,"-(a^8/30 + (b^8*x^24)/6 + (8*a^7*b*x^3)/27 + (8*a*b^7*x^21)/9 + (7*a^6*b^2*x^6)/6 + (8*a^5*b^3*x^9)/3 + (35*a^4*b^4*x^12)/9 + (56*a^3*b^5*x^15)/15 + (7*a^2*b^6*x^18)/3)/x^30","B"
303,1,92,62,0.077713,"\text{Not used}","int((a + b*x^3)^8/x^34,x)","-\frac{\frac{a^8}{33}+\frac{4\,a^7\,b\,x^3}{15}+\frac{28\,a^6\,b^2\,x^6}{27}+\frac{7\,a^5\,b^3\,x^9}{3}+\frac{10\,a^4\,b^4\,x^{12}}{3}+\frac{28\,a^3\,b^5\,x^{15}}{9}+\frac{28\,a^2\,b^6\,x^{18}}{15}+\frac{2\,a\,b^7\,x^{21}}{3}+\frac{b^8\,x^{24}}{9}}{x^{33}}","Not used",1,"-(a^8/33 + (b^8*x^24)/9 + (4*a^7*b*x^3)/15 + (2*a*b^7*x^21)/3 + (28*a^6*b^2*x^6)/27 + (7*a^5*b^3*x^9)/3 + (10*a^4*b^4*x^12)/3 + (28*a^3*b^5*x^15)/9 + (28*a^2*b^6*x^18)/15)/x^33","B"
304,1,92,84,0.077305,"\text{Not used}","int((a + b*x^3)^8/x^37,x)","-\frac{\frac{a^8}{36}+\frac{8\,a^7\,b\,x^3}{33}+\frac{14\,a^6\,b^2\,x^6}{15}+\frac{56\,a^5\,b^3\,x^9}{27}+\frac{35\,a^4\,b^4\,x^{12}}{12}+\frac{8\,a^3\,b^5\,x^{15}}{3}+\frac{14\,a^2\,b^6\,x^{18}}{9}+\frac{8\,a\,b^7\,x^{21}}{15}+\frac{b^8\,x^{24}}{12}}{x^{36}}","Not used",1,"-(a^8/36 + (b^8*x^24)/12 + (8*a^7*b*x^3)/33 + (8*a*b^7*x^21)/15 + (14*a^6*b^2*x^6)/15 + (56*a^5*b^3*x^9)/27 + (35*a^4*b^4*x^12)/12 + (8*a^3*b^5*x^15)/3 + (14*a^2*b^6*x^18)/9)/x^36","B"
305,1,92,106,0.995026,"\text{Not used}","int((a + b*x^3)^8/x^40,x)","-\frac{\frac{a^8}{39}+\frac{2\,a^7\,b\,x^3}{9}+\frac{28\,a^6\,b^2\,x^6}{33}+\frac{28\,a^5\,b^3\,x^9}{15}+\frac{70\,a^4\,b^4\,x^{12}}{27}+\frac{7\,a^3\,b^5\,x^{15}}{3}+\frac{4\,a^2\,b^6\,x^{18}}{3}+\frac{4\,a\,b^7\,x^{21}}{9}+\frac{b^8\,x^{24}}{15}}{x^{39}}","Not used",1,"-(a^8/39 + (b^8*x^24)/15 + (2*a^7*b*x^3)/9 + (4*a*b^7*x^21)/9 + (28*a^6*b^2*x^6)/33 + (28*a^5*b^3*x^9)/15 + (70*a^4*b^4*x^12)/27 + (7*a^3*b^5*x^15)/3 + (4*a^2*b^6*x^18)/3)/x^39","B"
306,1,92,108,0.082075,"\text{Not used}","int((a + b*x^3)^8/x^43,x)","-\frac{\frac{a^8}{42}+\frac{8\,a^7\,b\,x^3}{39}+\frac{7\,a^6\,b^2\,x^6}{9}+\frac{56\,a^5\,b^3\,x^9}{33}+\frac{7\,a^4\,b^4\,x^{12}}{3}+\frac{56\,a^3\,b^5\,x^{15}}{27}+\frac{7\,a^2\,b^6\,x^{18}}{6}+\frac{8\,a\,b^7\,x^{21}}{21}+\frac{b^8\,x^{24}}{18}}{x^{42}}","Not used",1,"-(a^8/42 + (b^8*x^24)/18 + (8*a^7*b*x^3)/39 + (8*a*b^7*x^21)/21 + (7*a^6*b^2*x^6)/9 + (56*a^5*b^3*x^9)/33 + (7*a^4*b^4*x^12)/3 + (56*a^3*b^5*x^15)/27 + (7*a^2*b^6*x^18)/6)/x^42","B"
307,1,92,108,0.996936,"\text{Not used}","int((a + b*x^3)^8/x^46,x)","-\frac{\frac{a^8}{45}+\frac{4\,a^7\,b\,x^3}{21}+\frac{28\,a^6\,b^2\,x^6}{39}+\frac{14\,a^5\,b^3\,x^9}{9}+\frac{70\,a^4\,b^4\,x^{12}}{33}+\frac{28\,a^3\,b^5\,x^{15}}{15}+\frac{28\,a^2\,b^6\,x^{18}}{27}+\frac{a\,b^7\,x^{21}}{3}+\frac{b^8\,x^{24}}{21}}{x^{45}}","Not used",1,"-(a^8/45 + (b^8*x^24)/21 + (4*a^7*b*x^3)/21 + (a*b^7*x^21)/3 + (28*a^6*b^2*x^6)/39 + (14*a^5*b^3*x^9)/9 + (70*a^4*b^4*x^12)/33 + (28*a^3*b^5*x^15)/15 + (28*a^2*b^6*x^18)/27)/x^45","B"
308,1,89,103,1.013082,"\text{Not used}","int(x^4*(a + b*x^3)^8,x)","\frac{a^8\,x^5}{5}+a^7\,b\,x^8+\frac{28\,a^6\,b^2\,x^{11}}{11}+4\,a^5\,b^3\,x^{14}+\frac{70\,a^4\,b^4\,x^{17}}{17}+\frac{14\,a^3\,b^5\,x^{20}}{5}+\frac{28\,a^2\,b^6\,x^{23}}{23}+\frac{4\,a\,b^7\,x^{26}}{13}+\frac{b^8\,x^{29}}{29}","Not used",1,"(a^8*x^5)/5 + (b^8*x^29)/29 + a^7*b*x^8 + (4*a*b^7*x^26)/13 + (28*a^6*b^2*x^11)/11 + 4*a^5*b^3*x^14 + (70*a^4*b^4*x^17)/17 + (14*a^3*b^5*x^20)/5 + (28*a^2*b^6*x^23)/23","B"
309,1,90,108,0.085705,"\text{Not used}","int(x^3*(a + b*x^3)^8,x)","\frac{a^8\,x^4}{4}+\frac{8\,a^7\,b\,x^7}{7}+\frac{14\,a^6\,b^2\,x^{10}}{5}+\frac{56\,a^5\,b^3\,x^{13}}{13}+\frac{35\,a^4\,b^4\,x^{16}}{8}+\frac{56\,a^3\,b^5\,x^{19}}{19}+\frac{14\,a^2\,b^6\,x^{22}}{11}+\frac{8\,a\,b^7\,x^{25}}{25}+\frac{b^8\,x^{28}}{28}","Not used",1,"(a^8*x^4)/4 + (b^8*x^28)/28 + (8*a^7*b*x^7)/7 + (8*a*b^7*x^25)/25 + (14*a^6*b^2*x^10)/5 + (56*a^5*b^3*x^13)/13 + (35*a^4*b^4*x^16)/8 + (56*a^3*b^5*x^19)/19 + (14*a^2*b^6*x^22)/11","B"
310,1,90,106,0.982613,"\text{Not used}","int(x*(a + b*x^3)^8,x)","\frac{a^8\,x^2}{2}+\frac{8\,a^7\,b\,x^5}{5}+\frac{7\,a^6\,b^2\,x^8}{2}+\frac{56\,a^5\,b^3\,x^{11}}{11}+5\,a^4\,b^4\,x^{14}+\frac{56\,a^3\,b^5\,x^{17}}{17}+\frac{7\,a^2\,b^6\,x^{20}}{5}+\frac{8\,a\,b^7\,x^{23}}{23}+\frac{b^8\,x^{26}}{26}","Not used",1,"(a^8*x^2)/2 + (b^8*x^26)/26 + (8*a^7*b*x^5)/5 + (8*a*b^7*x^23)/23 + (7*a^6*b^2*x^8)/2 + (56*a^5*b^3*x^11)/11 + 5*a^4*b^4*x^14 + (56*a^3*b^5*x^17)/17 + (7*a^2*b^6*x^20)/5","B"
311,1,87,99,0.040063,"\text{Not used}","int((a + b*x^3)^8,x)","a^8\,x+2\,a^7\,b\,x^4+4\,a^6\,b^2\,x^7+\frac{28\,a^5\,b^3\,x^{10}}{5}+\frac{70\,a^4\,b^4\,x^{13}}{13}+\frac{7\,a^3\,b^5\,x^{16}}{2}+\frac{28\,a^2\,b^6\,x^{19}}{19}+\frac{4\,a\,b^7\,x^{22}}{11}+\frac{b^8\,x^{25}}{25}","Not used",1,"a^8*x + (b^8*x^25)/25 + 2*a^7*b*x^4 + (4*a*b^7*x^22)/11 + 4*a^6*b^2*x^7 + (28*a^5*b^3*x^10)/5 + (70*a^4*b^4*x^13)/13 + (7*a^3*b^5*x^16)/2 + (28*a^2*b^6*x^19)/19","B"
312,1,90,100,0.052677,"\text{Not used}","int((a + b*x^3)^8/x^2,x)","\frac{b^8\,x^{23}}{23}-\frac{a^8}{x}+4\,a^7\,b\,x^2+\frac{2\,a\,b^7\,x^{20}}{5}+\frac{28\,a^6\,b^2\,x^5}{5}+7\,a^5\,b^3\,x^8+\frac{70\,a^4\,b^4\,x^{11}}{11}+4\,a^3\,b^5\,x^{14}+\frac{28\,a^2\,b^6\,x^{17}}{17}","Not used",1,"(b^8*x^23)/23 - a^8/x + 4*a^7*b*x^2 + (2*a*b^7*x^20)/5 + (28*a^6*b^2*x^5)/5 + 7*a^5*b^3*x^8 + (70*a^4*b^4*x^11)/11 + 4*a^3*b^5*x^14 + (28*a^2*b^6*x^17)/17","B"
313,1,88,98,0.052442,"\text{Not used}","int((a + b*x^3)^8/x^3,x)","\frac{b^8\,x^{22}}{22}-\frac{a^8}{2\,x^2}+\frac{8\,a\,b^7\,x^{19}}{19}+7\,a^6\,b^2\,x^4+8\,a^5\,b^3\,x^7+7\,a^4\,b^4\,x^{10}+\frac{56\,a^3\,b^5\,x^{13}}{13}+\frac{7\,a^2\,b^6\,x^{16}}{4}+8\,a^7\,b\,x","Not used",1,"(b^8*x^22)/22 - a^8/(2*x^2) + (8*a*b^7*x^19)/19 + 7*a^6*b^2*x^4 + 8*a^5*b^3*x^7 + 7*a^4*b^4*x^10 + (56*a^3*b^5*x^13)/13 + (7*a^2*b^6*x^16)/4 + 8*a^7*b*x","B"
314,1,93,102,0.048374,"\text{Not used}","int((a + b*x^3)^8/x^5,x)","\frac{b^8\,x^{20}}{20}-\frac{\frac{a^8}{4}+8\,b\,a^7\,x^3}{x^4}+\frac{8\,a\,b^7\,x^{17}}{17}+14\,a^6\,b^2\,x^2+\frac{56\,a^5\,b^3\,x^5}{5}+\frac{35\,a^4\,b^4\,x^8}{4}+\frac{56\,a^3\,b^5\,x^{11}}{11}+2\,a^2\,b^6\,x^{14}","Not used",1,"(b^8*x^20)/20 - (a^8/4 + 8*a^7*b*x^3)/x^4 + (8*a*b^7*x^17)/17 + 14*a^6*b^2*x^2 + (56*a^5*b^3*x^5)/5 + (35*a^4*b^4*x^8)/4 + (56*a^3*b^5*x^11)/11 + 2*a^2*b^6*x^14","B"
315,1,91,98,0.049477,"\text{Not used}","int((a + b*x^3)^8/x^6,x)","\frac{b^8\,x^{19}}{19}-\frac{\frac{a^8}{5}+4\,b\,a^7\,x^3}{x^5}+28\,a^6\,b^2\,x+\frac{a\,b^7\,x^{16}}{2}+14\,a^5\,b^3\,x^4+10\,a^4\,b^4\,x^7+\frac{28\,a^3\,b^5\,x^{10}}{5}+\frac{28\,a^2\,b^6\,x^{13}}{13}","Not used",1,"(b^8*x^19)/19 - (a^8/5 + 4*a^7*b*x^3)/x^5 + 28*a^6*b^2*x + (a*b^7*x^16)/2 + 14*a^5*b^3*x^4 + 10*a^4*b^4*x^7 + (28*a^3*b^5*x^10)/5 + (28*a^2*b^6*x^13)/13","B"
316,1,93,98,0.952020,"\text{Not used}","int((a + b*x^3)^8/x^8,x)","\frac{b^8\,x^{17}}{17}-\frac{\frac{a^8}{7}+2\,a^7\,b\,x^3+28\,a^6\,b^2\,x^6}{x^7}+\frac{4\,a\,b^7\,x^{14}}{7}+28\,a^5\,b^3\,x^2+14\,a^4\,b^4\,x^5+7\,a^3\,b^5\,x^8+\frac{28\,a^2\,b^6\,x^{11}}{11}","Not used",1,"(b^8*x^17)/17 - (a^8/7 + 2*a^7*b*x^3 + 28*a^6*b^2*x^6)/x^7 + (4*a*b^7*x^14)/7 + 28*a^5*b^3*x^2 + 14*a^4*b^4*x^5 + 7*a^3*b^5*x^8 + (28*a^2*b^6*x^11)/11","B"
317,1,91,100,0.048076,"\text{Not used}","int((a + b*x^3)^8/x^9,x)","\frac{b^8\,x^{16}}{16}-\frac{\frac{a^8}{8}+\frac{8\,a^7\,b\,x^3}{5}+14\,a^6\,b^2\,x^6}{x^8}+56\,a^5\,b^3\,x+\frac{8\,a\,b^7\,x^{13}}{13}+\frac{35\,a^4\,b^4\,x^4}{2}+8\,a^3\,b^5\,x^7+\frac{14\,a^2\,b^6\,x^{10}}{5}","Not used",1,"(b^8*x^16)/16 - (a^8/8 + (8*a^7*b*x^3)/5 + 14*a^6*b^2*x^6)/x^8 + 56*a^5*b^3*x + (8*a*b^7*x^13)/13 + (35*a^4*b^4*x^4)/2 + 8*a^3*b^5*x^7 + (14*a^2*b^6*x^10)/5","B"
318,1,33,40,0.052276,"\text{Not used}","int(x^8/(a + b*x^3),x)","\frac{2\,a^2\,\ln\left(b\,x^3+a\right)+b^2\,x^6-2\,a\,b\,x^3}{6\,b^3}","Not used",1,"(2*a^2*log(a + b*x^3) + b^2*x^6 - 2*a*b*x^3)/(6*b^3)","B"
319,1,22,27,0.946591,"\text{Not used}","int(x^5/(a + b*x^3),x)","-\frac{a\,\ln\left(b\,x^3+a\right)-b\,x^3}{3\,b^2}","Not used",1,"-(a*log(a + b*x^3) - b*x^3)/(3*b^2)","B"
320,1,13,15,0.030882,"\text{Not used}","int(x^2/(a + b*x^3),x)","\frac{\ln\left(b\,x^3+a\right)}{3\,b}","Not used",1,"log(a + b*x^3)/(3*b)","B"
321,1,18,22,0.997364,"\text{Not used}","int(1/(x*(a + b*x^3)),x)","-\frac{\ln\left(b\,x^3+a\right)-3\,\ln\left(x\right)}{3\,a}","Not used",1,"-(log(a + b*x^3) - 3*log(x))/(3*a)","B"
322,1,31,35,0.076194,"\text{Not used}","int(1/(x^4*(a + b*x^3)),x)","\frac{b\,\ln\left(b\,x^3+a\right)}{3\,a^2}-\frac{1}{3\,a\,x^3}-\frac{b\,\ln\left(x\right)}{a^2}","Not used",1,"(b*log(a + b*x^3))/(3*a^2) - 1/(3*a*x^3) - (b*log(x))/a^2","B"
323,1,120,124,0.213959,"\text{Not used}","int(x^4/(a + b*x^3),x)","\frac{x^2}{2\,b}+\frac{a^{2/3}\,\ln\left(\frac{a^{7/3}}{b^{4/3}}+\frac{a^2\,x}{b}\right)}{3\,b^{5/3}}-\frac{a^{2/3}\,\ln\left(\frac{a^2\,x}{b}+\frac{a^{7/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{b^{4/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,b^{5/3}}+\frac{a^{2/3}\,\ln\left(\frac{a^2\,x}{b}+\frac{9\,a^{7/3}\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2}{b^{4/3}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{b^{5/3}}","Not used",1,"x^2/(2*b) + (a^(2/3)*log(a^(7/3)/b^(4/3) + (a^2*x)/b))/(3*b^(5/3)) - (a^(2/3)*log((a^2*x)/b + (a^(7/3)*((3^(1/2)*1i)/2 + 1/2)^2)/b^(4/3))*((3^(1/2)*1i)/2 + 1/2))/(3*b^(5/3)) + (a^(2/3)*log((a^2*x)/b + (9*a^(7/3)*((3^(1/2)*1i)/6 - 1/6)^2)/b^(4/3))*((3^(1/2)*1i)/6 - 1/6))/b^(5/3)","B"
324,1,114,119,1.161090,"\text{Not used}","int(x^3/(a + b*x^3),x)","\frac{x}{b}+\frac{{\left(-a\right)}^{1/3}\,\ln\left({\left(-a\right)}^{4/3}+a\,b^{1/3}\,x\right)}{3\,b^{4/3}}-\frac{{\left(-a\right)}^{1/3}\,\ln\left(3\,{\left(-a\right)}^{4/3}\,b^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-3\,a\,b\,x\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,b^{4/3}}+\frac{{\left(-a\right)}^{1/3}\,\ln\left(9\,{\left(-a\right)}^{4/3}\,b^{2/3}\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+3\,a\,b\,x\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{b^{4/3}}","Not used",1,"x/b + ((-a)^(1/3)*log((-a)^(4/3) + a*b^(1/3)*x))/(3*b^(4/3)) - ((-a)^(1/3)*log(3*(-a)^(4/3)*b^(2/3)*((3^(1/2)*1i)/2 + 1/2) - 3*a*b*x)*((3^(1/2)*1i)/2 + 1/2))/(3*b^(4/3)) + ((-a)^(1/3)*log(9*(-a)^(4/3)*b^(2/3)*((3^(1/2)*1i)/6 - 1/6) + 3*a*b*x)*((3^(1/2)*1i)/6 - 1/6))/b^(4/3)","B"
325,1,111,115,1.174057,"\text{Not used}","int(x/(a + b*x^3),x)","\frac{\ln\left(b^{1/3}\,x-{\left(-a\right)}^{1/3}\right)}{3\,{\left(-a\right)}^{1/3}\,b^{2/3}}+\frac{\ln\left(b\,x-\frac{{\left(-a\right)}^{1/3}\,b^{2/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-a\right)}^{1/3}\,b^{2/3}}-\frac{\ln\left(b\,x-\frac{{\left(-a\right)}^{1/3}\,b^{2/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-a\right)}^{1/3}\,b^{2/3}}","Not used",1,"log(b^(1/3)*x - (-a)^(1/3))/(3*(-a)^(1/3)*b^(2/3)) + (log(b*x - ((-a)^(1/3)*b^(2/3)*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(6*(-a)^(1/3)*b^(2/3)) - (log(b*x - ((-a)^(1/3)*b^(2/3)*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(6*(-a)^(1/3)*b^(2/3))","B"
326,1,99,115,1.138896,"\text{Not used}","int(1/(a + b*x^3),x)","\frac{\ln\left(b^{1/3}\,x+a^{1/3}\right)}{3\,a^{2/3}\,b^{1/3}}+\frac{\ln\left(3\,b^2\,x+\frac{3\,a^{1/3}\,b^{5/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,b^{1/3}}-\frac{\ln\left(3\,b^2\,x-\frac{3\,a^{1/3}\,b^{5/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,b^{1/3}}","Not used",1,"log(b^(1/3)*x + a^(1/3))/(3*a^(2/3)*b^(1/3)) + (log(3*b^2*x + (3*a^(1/3)*b^(5/3)*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(6*a^(2/3)*b^(1/3)) - (log(3*b^2*x - (3*a^(1/3)*b^(5/3)*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(6*a^(2/3)*b^(1/3))","B"
327,1,102,122,1.160852,"\text{Not used}","int(1/(x^2*(a + b*x^3)),x)","\frac{b^{1/3}\,\ln\left(b^{1/3}\,x+a^{1/3}\right)}{3\,a^{4/3}}-\frac{1}{a\,x}-\frac{b^{1/3}\,\ln\left(4\,b^{1/3}\,x-2\,a^{1/3}+\sqrt{3}\,a^{1/3}\,2{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,a^{4/3}}+\frac{b^{1/3}\,\ln\left(4\,b^{1/3}\,x-2\,a^{1/3}-\sqrt{3}\,a^{1/3}\,2{}\mathrm{i}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{a^{4/3}}","Not used",1,"(b^(1/3)*log(b^(1/3)*x + a^(1/3)))/(3*a^(4/3)) - 1/(a*x) - (b^(1/3)*log(3^(1/2)*a^(1/3)*2i + 4*b^(1/3)*x - 2*a^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(3*a^(4/3)) + (b^(1/3)*log(4*b^(1/3)*x - 3^(1/2)*a^(1/3)*2i - 2*a^(1/3))*((3^(1/2)*1i)/6 - 1/6))/a^(4/3)","B"
328,1,128,124,0.215649,"\text{Not used}","int(1/(x^3*(a + b*x^3)),x)","\frac{b^{2/3}\,\ln\left({\left(-a\right)}^{7/3}-a^2\,b^{1/3}\,x\right)}{3\,{\left(-a\right)}^{5/3}}-\frac{1}{2\,a\,x^2}-\frac{b^{2/3}\,\ln\left(3\,a^2\,b^3\,x+3\,{\left(-a\right)}^{7/3}\,b^{8/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,{\left(-a\right)}^{5/3}}+\frac{b^{2/3}\,\ln\left(3\,a^2\,b^3\,x-9\,{\left(-a\right)}^{7/3}\,b^{8/3}\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{{\left(-a\right)}^{5/3}}","Not used",1,"(b^(2/3)*log((-a)^(7/3) - a^2*b^(1/3)*x))/(3*(-a)^(5/3)) - 1/(2*a*x^2) - (b^(2/3)*log(3*a^2*b^3*x + 3*(-a)^(7/3)*b^(8/3)*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/(3*(-a)^(5/3)) + (b^(2/3)*log(3*a^2*b^3*x - 9*(-a)^(7/3)*b^(8/3)*((3^(1/2)*1i)/6 - 1/6))*((3^(1/2)*1i)/6 - 1/6))/(-a)^(5/3)","B"
329,1,45,46,0.048531,"\text{Not used}","int(x^8/(a + b*x^3)^2,x)","\frac{x^3}{3\,b^2}-\frac{a^2}{3\,\left(b^4\,x^3+a\,b^3\right)}-\frac{2\,a\,\ln\left(b\,x^3+a\right)}{3\,b^3}","Not used",1,"x^3/(3*b^2) - a^2/(3*(a*b^3 + b^4*x^3)) - (2*a*log(a + b*x^3))/(3*b^3)","B"
330,1,29,33,0.042875,"\text{Not used}","int(x^5/(a + b*x^3)^2,x)","\frac{\ln\left(b\,x^3+a\right)}{3\,b^2}+\frac{a}{3\,b^2\,\left(b\,x^3+a\right)}","Not used",1,"log(a + b*x^3)/(3*b^2) + a/(3*b^2*(a + b*x^3))","B"
331,1,14,16,0.966083,"\text{Not used}","int(x^2/(a + b*x^3)^2,x)","-\frac{1}{3\,b\,\left(b\,x^3+a\right)}","Not used",1,"-1/(3*b*(a + b*x^3))","B"
332,1,34,38,1.004568,"\text{Not used}","int(1/(x*(a + b*x^3)^2),x)","\frac{\ln\left(x\right)}{a^2}+\frac{1}{3\,a\,\left(b\,x^3+a\right)}-\frac{\ln\left(b\,x^3+a\right)}{3\,a^2}","Not used",1,"log(x)/a^2 + 1/(3*a*(a + b*x^3)) - log(a + b*x^3)/(3*a^2)","B"
333,1,53,52,0.073698,"\text{Not used}","int(1/(x^4*(a + b*x^3)^2),x)","\frac{2\,b\,\ln\left(b\,x^3+a\right)}{3\,a^3}-\frac{\frac{1}{3\,a}+\frac{2\,b\,x^3}{3\,a^2}}{b\,x^6+a\,x^3}-\frac{2\,b\,\ln\left(x\right)}{a^3}","Not used",1,"(2*b*log(a + b*x^3))/(3*a^3) - (1/(3*a) + (2*b*x^3)/(3*a^2))/(a*x^3 + b*x^6) - (2*b*log(x))/a^3","B"
334,1,138,136,0.224722,"\text{Not used}","int(x^4/(a + b*x^3)^2,x)","\frac{2\,\ln\left(\frac{4\,x}{9\,b}-\frac{4\,{\left(-a\right)}^{1/3}}{9\,b^{4/3}}\right)}{9\,{\left(-a\right)}^{1/3}\,b^{5/3}}-\frac{x^2}{3\,b\,\left(b\,x^3+a\right)}+\frac{\ln\left(\frac{4\,x}{9\,b}-\frac{{\left(-a\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{9\,b^{4/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,{\left(-a\right)}^{1/3}\,b^{5/3}}-\frac{\ln\left(\frac{4\,x}{9\,b}-\frac{{\left(-a\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{9\,b^{4/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,{\left(-a\right)}^{1/3}\,b^{5/3}}","Not used",1,"(2*log((4*x)/(9*b) - (4*(-a)^(1/3))/(9*b^(4/3))))/(9*(-a)^(1/3)*b^(5/3)) - x^2/(3*b*(a + b*x^3)) + (log((4*x)/(9*b) - ((-a)^(1/3)*(3^(1/2)*1i - 1)^2)/(9*b^(4/3)))*(3^(1/2)*1i - 1))/(9*(-a)^(1/3)*b^(5/3)) - (log((4*x)/(9*b) - ((-a)^(1/3)*(3^(1/2)*1i + 1)^2)/(9*b^(4/3)))*(3^(1/2)*1i + 1))/(9*(-a)^(1/3)*b^(5/3))","B"
335,1,108,134,1.147717,"\text{Not used}","int(x^3/(a + b*x^3)^2,x)","\frac{\ln\left(b^{1/3}\,x+a^{1/3}\right)}{9\,a^{2/3}\,b^{4/3}}-\frac{x}{3\,b\,\left(b\,x^3+a\right)}+\frac{\ln\left(b\,x+\frac{a^{1/3}\,b^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{2/3}\,b^{4/3}}-\frac{\ln\left(b\,x-\frac{a^{1/3}\,b^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{2/3}\,b^{4/3}}","Not used",1,"log(b^(1/3)*x + a^(1/3))/(9*a^(2/3)*b^(4/3)) - x/(3*b*(a + b*x^3)) + (log(b*x + (a^(1/3)*b^(2/3)*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(18*a^(2/3)*b^(4/3)) - (log(b*x - (a^(1/3)*b^(2/3)*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(18*a^(2/3)*b^(4/3))","B"
336,1,138,136,1.196834,"\text{Not used}","int(x/(a + b*x^3)^2,x)","\frac{x^2}{3\,a\,\left(b\,x^3+a\right)}+\frac{{\left(-1\right)}^{1/3}\,\ln\left(\frac{{\left(-1\right)}^{2/3}\,b^{2/3}}{9\,a^{5/3}}+\frac{b\,x}{9\,a^2}\right)}{9\,a^{4/3}\,b^{2/3}}-\frac{{\left(-1\right)}^{1/3}\,\ln\left({\left(-1\right)}^{2/3}\,a^{1/3}-2\,b^{1/3}\,x+{\left(-1\right)}^{1/6}\,\sqrt{3}\,a^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{4/3}\,b^{2/3}}+\frac{{\left(-1\right)}^{1/3}\,\ln\left(2\,b^{1/3}\,x-{\left(-1\right)}^{2/3}\,a^{1/3}+{\left(-1\right)}^{1/6}\,\sqrt{3}\,a^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{4/3}\,b^{2/3}}","Not used",1,"x^2/(3*a*(a + b*x^3)) + ((-1)^(1/3)*log(((-1)^(2/3)*b^(2/3))/(9*a^(5/3)) + (b*x)/(9*a^2)))/(9*a^(4/3)*b^(2/3)) - ((-1)^(1/3)*log((-1)^(2/3)*a^(1/3) - 2*b^(1/3)*x + (-1)^(1/6)*3^(1/2)*a^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(9*a^(4/3)*b^(2/3)) + ((-1)^(1/3)*log(2*b^(1/3)*x - (-1)^(2/3)*a^(1/3) + (-1)^(1/6)*3^(1/2)*a^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(9*a^(4/3)*b^(2/3))","B"
337,1,128,134,1.105082,"\text{Not used}","int(1/(a + b*x^3)^2,x)","\frac{x}{3\,a\,\left(b\,x^3+a\right)}+\frac{2\,\ln\left(\frac{2\,b^{5/3}}{a^{2/3}}+\frac{2\,b^2\,x}{a}\right)}{9\,a^{5/3}\,b^{1/3}}+\frac{\ln\left(\frac{2\,b^2\,x}{a}+\frac{b^{5/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{a^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,a^{5/3}\,b^{1/3}}-\frac{\ln\left(\frac{2\,b^2\,x}{a}-\frac{b^{5/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{a^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,a^{5/3}\,b^{1/3}}","Not used",1,"x/(3*a*(a + b*x^3)) + (2*log((2*b^(5/3))/a^(2/3) + (2*b^2*x)/a))/(9*a^(5/3)*b^(1/3)) + (log((2*b^2*x)/a + (b^(5/3)*(3^(1/2)*1i - 1))/a^(2/3))*(3^(1/2)*1i - 1))/(9*a^(5/3)*b^(1/3)) - (log((2*b^2*x)/a - (b^(5/3)*(3^(1/2)*1i + 1))/a^(2/3))*(3^(1/2)*1i + 1))/(9*a^(5/3)*b^(1/3))","B"
338,1,120,146,0.240900,"\text{Not used}","int(1/(x^2*(a + b*x^3)^2),x)","\frac{4\,b^{1/3}\,\ln\left(b^{1/3}\,x+a^{1/3}\right)}{9\,a^{7/3}}-\frac{\frac{1}{a}+\frac{4\,b\,x^3}{3\,a^2}}{b\,x^4+a\,x}-\frac{4\,b^{1/3}\,\ln\left(4\,b^{1/3}\,x-2\,a^{1/3}+\sqrt{3}\,a^{1/3}\,2{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{7/3}}+\frac{b^{1/3}\,\ln\left(4\,b^{1/3}\,x-2\,a^{1/3}-\sqrt{3}\,a^{1/3}\,2{}\mathrm{i}\right)\,\left(-\frac{2}{9}+\frac{\sqrt{3}\,2{}\mathrm{i}}{9}\right)}{a^{7/3}}","Not used",1,"(4*b^(1/3)*log(b^(1/3)*x + a^(1/3)))/(9*a^(7/3)) - (1/a + (4*b*x^3)/(3*a^2))/(a*x + b*x^4) - (4*b^(1/3)*log(3^(1/2)*a^(1/3)*2i + 4*b^(1/3)*x - 2*a^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(9*a^(7/3)) + (b^(1/3)*log(4*b^(1/3)*x - 3^(1/2)*a^(1/3)*2i - 2*a^(1/3))*((3^(1/2)*2i)/9 - 2/9))/a^(7/3)","B"
339,1,146,146,1.338386,"\text{Not used}","int(1/(x^3*(a + b*x^3)^2),x)","\frac{5\,{\left(-1\right)}^{1/3}\,b^{2/3}\,\ln\left({\left(-1\right)}^{1/3}\,a^{1/3}-b^{1/3}\,x\right)}{9\,a^{8/3}}-\frac{\frac{1}{2\,a}+\frac{5\,b\,x^3}{6\,a^2}}{b\,x^5+a\,x^2}-\frac{5\,{\left(-1\right)}^{1/3}\,b^{2/3}\,\ln\left({\left(-1\right)}^{1/3}\,a^{1/3}+2\,b^{1/3}\,x+{\left(-1\right)}^{5/6}\,\sqrt{3}\,a^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{8/3}}+\frac{5\,{\left(-1\right)}^{1/3}\,b^{2/3}\,\ln\left({\left(-1\right)}^{1/3}\,a^{1/3}+2\,b^{1/3}\,x-{\left(-1\right)}^{5/6}\,\sqrt{3}\,a^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{8/3}}","Not used",1,"(5*(-1)^(1/3)*b^(2/3)*log((-1)^(1/3)*a^(1/3) - b^(1/3)*x))/(9*a^(8/3)) - (1/(2*a) + (5*b*x^3)/(6*a^2))/(a*x^2 + b*x^5) - (5*(-1)^(1/3)*b^(2/3)*log((-1)^(1/3)*a^(1/3) + 2*b^(1/3)*x + (-1)^(5/6)*3^(1/2)*a^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(9*a^(8/3)) + (5*(-1)^(1/3)*b^(2/3)*log((-1)^(1/3)*a^(1/3) + 2*b^(1/3)*x - (-1)^(5/6)*3^(1/2)*a^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(9*a^(8/3))","B"
340,1,67,61,1.021915,"\text{Not used}","int(x^11/(a + b*x^3)^3,x)","\frac{x^3}{3\,b^3}-\frac{\frac{5\,a^3}{6\,b}+a^2\,x^3}{a^2\,b^3+2\,a\,b^4\,x^3+b^5\,x^6}-\frac{a\,\ln\left(b\,x^3+a\right)}{b^4}","Not used",1,"x^3/(3*b^3) - ((5*a^3)/(6*b) + a^2*x^3)/(a^2*b^3 + b^5*x^6 + 2*a*b^4*x^3) - (a*log(a + b*x^3))/b^4","B"
341,1,53,52,0.058643,"\text{Not used}","int(x^8/(a + b*x^3)^3,x)","\frac{\frac{a^2}{2\,b^3}+\frac{2\,a\,x^3}{3\,b^2}}{a^2+2\,a\,b\,x^3+b^2\,x^6}+\frac{\ln\left(b\,x^3+a\right)}{3\,b^3}","Not used",1,"(a^2/(2*b^3) + (2*a*x^3)/(3*b^2))/(a^2 + b^2*x^6 + 2*a*b*x^3) + log(a + b*x^3)/(3*b^3)","B"
342,1,37,19,0.033306,"\text{Not used}","int(x^5/(a + b*x^3)^3,x)","-\frac{\frac{a}{6\,b^2}+\frac{x^3}{3\,b}}{a^2+2\,a\,b\,x^3+b^2\,x^6}","Not used",1,"-(a/(6*b^2) + x^3/(3*b))/(a^2 + b^2*x^6 + 2*a*b*x^3)","B"
343,1,28,16,0.940267,"\text{Not used}","int(x^2/(a + b*x^3)^3,x)","-\frac{1}{6\,a^2\,b+12\,a\,b^2\,x^3+6\,b^3\,x^6}","Not used",1,"-1/(6*a^2*b + 6*b^3*x^6 + 12*a*b^2*x^3)","B"
344,1,56,54,0.072298,"\text{Not used}","int(1/(x*(a + b*x^3)^3),x)","\frac{\ln\left(x\right)}{a^3}+\frac{\frac{1}{2\,a}+\frac{b\,x^3}{3\,a^2}}{a^2+2\,a\,b\,x^3+b^2\,x^6}-\frac{\ln\left(b\,x^3+a\right)}{3\,a^3}","Not used",1,"log(x)/a^3 + (1/(2*a) + (b*x^3)/(3*a^2))/(a^2 + b^2*x^6 + 2*a*b*x^3) - log(a + b*x^3)/(3*a^3)","B"
345,1,73,66,0.090369,"\text{Not used}","int(1/(x^4*(a + b*x^3)^3),x)","\frac{b\,\ln\left(b\,x^3+a\right)}{a^4}-\frac{\frac{1}{3\,a}+\frac{3\,b\,x^3}{2\,a^2}+\frac{b^2\,x^6}{a^3}}{a^2\,x^3+2\,a\,b\,x^6+b^2\,x^9}-\frac{3\,b\,\ln\left(x\right)}{a^4}","Not used",1,"(b*log(a + b*x^3))/a^4 - (1/(3*a) + (3*b*x^3)/(2*a^2) + (b^2*x^6)/a^3)/(a^2*x^3 + b^2*x^9 + 2*a*b*x^6) - (3*b*log(x))/a^4","B"
346,1,161,155,1.148628,"\text{Not used}","int(x^7/(a + b*x^3)^3,x)","\frac{5\,\ln\left(\frac{25\,x}{81\,b^3}-\frac{25\,{\left(-a\right)}^{1/3}}{81\,b^{10/3}}\right)}{27\,{\left(-a\right)}^{1/3}\,b^{8/3}}-\frac{\frac{4\,x^5}{9\,b}+\frac{5\,a\,x^2}{18\,b^2}}{a^2+2\,a\,b\,x^3+b^2\,x^6}+\frac{\ln\left(\frac{25\,x}{81\,b^3}-\frac{{\left(-a\right)}^{1/3}\,{\left(-5+\sqrt{3}\,5{}\mathrm{i}\right)}^2}{324\,b^{10/3}}\right)\,\left(-5+\sqrt{3}\,5{}\mathrm{i}\right)}{54\,{\left(-a\right)}^{1/3}\,b^{8/3}}-\frac{\ln\left(\frac{25\,x}{81\,b^3}-\frac{{\left(-a\right)}^{1/3}\,{\left(5+\sqrt{3}\,5{}\mathrm{i}\right)}^2}{324\,b^{10/3}}\right)\,\left(5+\sqrt{3}\,5{}\mathrm{i}\right)}{54\,{\left(-a\right)}^{1/3}\,b^{8/3}}","Not used",1,"(5*log((25*x)/(81*b^3) - (25*(-a)^(1/3))/(81*b^(10/3))))/(27*(-a)^(1/3)*b^(8/3)) - ((4*x^5)/(9*b) + (5*a*x^2)/(18*b^2))/(a^2 + b^2*x^6 + 2*a*b*x^3) + (log((25*x)/(81*b^3) - ((-a)^(1/3)*(3^(1/2)*5i - 5)^2)/(324*b^(10/3)))*(3^(1/2)*5i - 5))/(54*(-a)^(1/3)*b^(8/3)) - (log((25*x)/(81*b^3) - ((-a)^(1/3)*(3^(1/2)*5i + 5)^2)/(324*b^(10/3)))*(3^(1/2)*5i + 5))/(54*(-a)^(1/3)*b^(8/3))","B"
347,1,127,153,0.309377,"\text{Not used}","int(x^6/(a + b*x^3)^3,x)","\frac{2\,\ln\left(x+\frac{a^{1/3}}{b^{1/3}}\right)}{27\,a^{2/3}\,b^{7/3}}-\frac{\frac{7\,x^4}{18\,b}+\frac{2\,a\,x}{9\,b^2}}{a^2+2\,a\,b\,x^3+b^2\,x^6}+\frac{\ln\left(x+\frac{a^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,b^{1/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{27\,a^{2/3}\,b^{7/3}}-\frac{\ln\left(x-\frac{a^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,b^{1/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{27\,a^{2/3}\,b^{7/3}}","Not used",1,"(2*log(x + a^(1/3)/b^(1/3)))/(27*a^(2/3)*b^(7/3)) - ((7*x^4)/(18*b) + (2*a*x)/(9*b^2))/(a^2 + b^2*x^6 + 2*a*b*x^3) + (log(x + (a^(1/3)*(3^(1/2)*1i - 1))/(2*b^(1/3)))*(3^(1/2)*1i - 1))/(27*a^(2/3)*b^(7/3)) - (log(x - (a^(1/3)*(3^(1/2)*1i + 1))/(2*b^(1/3)))*(3^(1/2)*1i + 1))/(27*a^(2/3)*b^(7/3))","B"
348,1,168,158,1.166265,"\text{Not used}","int(x^4/(a + b*x^3)^3,x)","\frac{\frac{x^5}{9\,a}-\frac{x^2}{18\,b}}{a^2+2\,a\,b\,x^3+b^2\,x^6}+\frac{\ln\left(\frac{1}{81\,a^{5/3}\,{\left(-b\right)}^{4/3}}+\frac{x}{81\,a^2\,b}\right)}{27\,a^{4/3}\,{\left(-b\right)}^{5/3}}+\frac{\ln\left(\frac{x}{81\,a^2\,b}+\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{324\,a^{5/3}\,{\left(-b\right)}^{4/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{54\,a^{4/3}\,{\left(-b\right)}^{5/3}}-\frac{\ln\left(\frac{x}{81\,a^2\,b}+\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{324\,a^{5/3}\,{\left(-b\right)}^{4/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{54\,a^{4/3}\,{\left(-b\right)}^{5/3}}","Not used",1,"(x^5/(9*a) - x^2/(18*b))/(a^2 + b^2*x^6 + 2*a*b*x^3) + log(1/(81*a^(5/3)*(-b)^(4/3)) + x/(81*a^2*b))/(27*a^(4/3)*(-b)^(5/3)) + (log(x/(81*a^2*b) + (3^(1/2)*1i - 1)^2/(324*a^(5/3)*(-b)^(4/3)))*(3^(1/2)*1i - 1))/(54*a^(4/3)*(-b)^(5/3)) - (log(x/(81*a^2*b) + (3^(1/2)*1i + 1)^2/(324*a^(5/3)*(-b)^(4/3)))*(3^(1/2)*1i + 1))/(54*a^(4/3)*(-b)^(5/3))","B"
349,1,145,154,1.128108,"\text{Not used}","int(x^3/(a + b*x^3)^3,x)","\frac{\ln\left(\frac{b^{2/3}}{3\,a^{2/3}}+\frac{b\,x}{3\,a}\right)}{27\,a^{5/3}\,b^{4/3}}-\frac{\frac{x}{9\,b}-\frac{x^4}{18\,a}}{a^2+2\,a\,b\,x^3+b^2\,x^6}+\frac{\ln\left(\frac{b\,x}{3\,a}+\frac{b^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{54\,a^{5/3}\,b^{4/3}}-\frac{\ln\left(\frac{b\,x}{3\,a}-\frac{b^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{54\,a^{5/3}\,b^{4/3}}","Not used",1,"log(b^(2/3)/(3*a^(2/3)) + (b*x)/(3*a))/(27*a^(5/3)*b^(4/3)) - (x/(9*b) - x^4/(18*a))/(a^2 + b^2*x^6 + 2*a*b*x^3) + (log((b*x)/(3*a) + (b^(2/3)*(3^(1/2)*1i - 1))/(6*a^(2/3)))*(3^(1/2)*1i - 1))/(54*a^(5/3)*b^(4/3)) - (log((b*x)/(3*a) - (b^(2/3)*(3^(1/2)*1i + 1))/(6*a^(2/3)))*(3^(1/2)*1i + 1))/(54*a^(5/3)*b^(4/3))","B"
350,1,163,155,0.230580,"\text{Not used}","int(x/(a + b*x^3)^3,x)","\frac{\frac{7\,x^2}{18\,a}+\frac{2\,b\,x^5}{9\,a^2}}{a^2+2\,a\,b\,x^3+b^2\,x^6}+\frac{2\,\ln\left(\frac{4\,b\,x}{81\,a^4}-\frac{4\,b^{2/3}}{81\,{\left(-a\right)}^{11/3}}\right)}{27\,{\left(-a\right)}^{7/3}\,b^{2/3}}+\frac{\ln\left(\frac{4\,b\,x}{81\,a^4}-\frac{b^{2/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{81\,{\left(-a\right)}^{11/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{27\,{\left(-a\right)}^{7/3}\,b^{2/3}}-\frac{\ln\left(\frac{4\,b\,x}{81\,a^4}-\frac{b^{2/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{81\,{\left(-a\right)}^{11/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{27\,{\left(-a\right)}^{7/3}\,b^{2/3}}","Not used",1,"((7*x^2)/(18*a) + (2*b*x^5)/(9*a^2))/(a^2 + b^2*x^6 + 2*a*b*x^3) + (2*log((4*b*x)/(81*a^4) - (4*b^(2/3))/(81*(-a)^(11/3))))/(27*(-a)^(7/3)*b^(2/3)) + (log((4*b*x)/(81*a^4) - (b^(2/3)*(3^(1/2)*1i - 1)^2)/(81*(-a)^(11/3)))*(3^(1/2)*1i - 1))/(27*(-a)^(7/3)*b^(2/3)) - (log((4*b*x)/(81*a^4) - (b^(2/3)*(3^(1/2)*1i + 1)^2)/(81*(-a)^(11/3)))*(3^(1/2)*1i + 1))/(27*(-a)^(7/3)*b^(2/3))","B"
351,1,142,151,1.112376,"\text{Not used}","int(1/(a + b*x^3)^3,x)","\frac{\frac{4\,x}{9\,a}+\frac{5\,b\,x^4}{18\,a^2}}{a^2+2\,a\,b\,x^3+b^2\,x^6}+\frac{5\,\ln\left(b^{1/3}\,x+a^{1/3}\right)}{27\,a^{8/3}\,b^{1/3}}+\frac{\ln\left(\frac{5\,b^2\,x}{3\,a^2}+\frac{b^{5/3}\,\left(-5+\sqrt{3}\,5{}\mathrm{i}\right)}{6\,a^{5/3}}\right)\,\left(-5+\sqrt{3}\,5{}\mathrm{i}\right)}{54\,a^{8/3}\,b^{1/3}}-\frac{\ln\left(\frac{5\,b^2\,x}{3\,a^2}-\frac{b^{5/3}\,\left(5+\sqrt{3}\,5{}\mathrm{i}\right)}{6\,a^{5/3}}\right)\,\left(5+\sqrt{3}\,5{}\mathrm{i}\right)}{54\,a^{8/3}\,b^{1/3}}","Not used",1,"((4*x)/(9*a) + (5*b*x^4)/(18*a^2))/(a^2 + b^2*x^6 + 2*a*b*x^3) + (5*log(b^(1/3)*x + a^(1/3)))/(27*a^(8/3)*b^(1/3)) + (log((5*b^2*x)/(3*a^2) + (b^(5/3)*(3^(1/2)*5i - 5))/(6*a^(5/3)))*(3^(1/2)*5i - 5))/(54*a^(8/3)*b^(1/3)) - (log((5*b^2*x)/(3*a^2) - (b^(5/3)*(3^(1/2)*5i + 5))/(6*a^(5/3)))*(3^(1/2)*5i + 5))/(54*a^(8/3)*b^(1/3))","B"
352,1,35,41,0.055650,"\text{Not used}","int(x^8/(a - b*x^3),x)","-\frac{2\,a^2\,\ln\left(b\,x^3-a\right)+b^2\,x^6+2\,a\,b\,x^3}{6\,b^3}","Not used",1,"-(2*a^2*log(b*x^3 - a) + b^2*x^6 + 2*a*b*x^3)/(6*b^3)","B"
353,1,23,28,0.038906,"\text{Not used}","int(x^5/(a - b*x^3),x)","-\frac{b\,x^3+a\,\ln\left(b\,x^3-a\right)}{3\,b^2}","Not used",1,"-(b*x^3 + a*log(b*x^3 - a))/(3*b^2)","B"
354,1,15,16,0.036281,"\text{Not used}","int(x^2/(a - b*x^3),x)","-\frac{\ln\left(b\,x^3-a\right)}{3\,b}","Not used",1,"-log(b*x^3 - a)/(3*b)","B"
355,1,21,23,0.095926,"\text{Not used}","int(1/(x*(a - b*x^3)),x)","\frac{\ln\left(x\right)}{a}-\frac{\ln\left(a-b\,x^3\right)}{3\,a}","Not used",1,"log(x)/a - log(a - b*x^3)/(3*a)","B"
356,1,31,35,0.074144,"\text{Not used}","int(1/(x^4*(a - b*x^3)),x)","\frac{b\,\ln\left(x\right)}{a^2}-\frac{b\,\ln\left(a-b\,x^3\right)}{3\,a^2}-\frac{1}{3\,a\,x^3}","Not used",1,"(b*log(x))/a^2 - (b*log(a - b*x^3))/(3*a^2) - 1/(3*a*x^3)","B"
357,1,134,125,1.155009,"\text{Not used}","int(x^4/(a - b*x^3),x)","\frac{a^{2/3}\,\ln\left(\frac{a^2\,x}{b}-\frac{a^{7/3}}{{\left(-b\right)}^{4/3}}\right)}{3\,{\left(-b\right)}^{5/3}}-\frac{x^2}{2\,b}-\frac{a^{2/3}\,\ln\left(\frac{a^2\,x}{b}-\frac{a^{7/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{{\left(-b\right)}^{4/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,{\left(-b\right)}^{5/3}}+\frac{a^{2/3}\,\ln\left(\frac{a^2\,x}{b}-\frac{9\,a^{7/3}\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2}{{\left(-b\right)}^{4/3}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{{\left(-b\right)}^{5/3}}","Not used",1,"(a^(2/3)*log((a^2*x)/b - a^(7/3)/(-b)^(4/3)))/(3*(-b)^(5/3)) - x^2/(2*b) - (a^(2/3)*log((a^2*x)/b - (a^(7/3)*((3^(1/2)*1i)/2 + 1/2)^2)/(-b)^(4/3))*((3^(1/2)*1i)/2 + 1/2))/(3*(-b)^(5/3)) + (a^(2/3)*log((a^2*x)/b - (9*a^(7/3)*((3^(1/2)*1i)/6 - 1/6)^2)/(-b)^(4/3))*((3^(1/2)*1i)/6 - 1/6))/(-b)^(5/3)","B"
358,1,116,120,1.117116,"\text{Not used}","int(x^3/(a - b*x^3),x)","\frac{{\left(-a\right)}^{1/3}\,\ln\left({\left(-a\right)}^{4/3}-a\,b^{1/3}\,x\right)}{3\,b^{4/3}}-\frac{x}{b}-\frac{{\left(-a\right)}^{1/3}\,\ln\left(3\,{\left(-a\right)}^{4/3}\,b^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)+3\,a\,b\,x\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,b^{4/3}}+\frac{{\left(-a\right)}^{1/3}\,\ln\left(9\,{\left(-a\right)}^{4/3}\,b^{2/3}\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-3\,a\,b\,x\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{b^{4/3}}","Not used",1,"((-a)^(1/3)*log((-a)^(4/3) - a*b^(1/3)*x))/(3*b^(4/3)) - x/b - ((-a)^(1/3)*log(3*(-a)^(4/3)*b^(2/3)*((3^(1/2)*1i)/2 + 1/2) + 3*a*b*x)*((3^(1/2)*1i)/2 + 1/2))/(3*b^(4/3)) + ((-a)^(1/3)*log(9*(-a)^(4/3)*b^(2/3)*((3^(1/2)*1i)/6 - 1/6) - 3*a*b*x)*((3^(1/2)*1i)/6 - 1/6))/b^(4/3)","B"
359,1,109,115,1.112671,"\text{Not used}","int(x/(a - b*x^3),x)","\frac{\ln\left({\left(-a\right)}^{1/3}+b^{1/3}\,x\right)}{3\,{\left(-a\right)}^{1/3}\,b^{2/3}}+\frac{\ln\left(b\,x+\frac{{\left(-a\right)}^{1/3}\,b^{2/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-a\right)}^{1/3}\,b^{2/3}}-\frac{\ln\left(b\,x+\frac{{\left(-a\right)}^{1/3}\,b^{2/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-a\right)}^{1/3}\,b^{2/3}}","Not used",1,"log((-a)^(1/3) + b^(1/3)*x)/(3*(-a)^(1/3)*b^(2/3)) + (log(b*x + ((-a)^(1/3)*b^(2/3)*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(6*(-a)^(1/3)*b^(2/3)) - (log(b*x + ((-a)^(1/3)*b^(2/3)*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(6*(-a)^(1/3)*b^(2/3))","B"
360,1,115,114,1.228983,"\text{Not used}","int(1/(a - b*x^3),x)","\frac{\ln\left(a^{1/3}\,{\left(-b\right)}^{5/3}+b^2\,x\right)}{3\,a^{2/3}\,{\left(-b\right)}^{1/3}}+\frac{\ln\left(3\,b^2\,x+\frac{3\,a^{1/3}\,{\left(-b\right)}^{5/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,{\left(-b\right)}^{1/3}}-\frac{\ln\left(3\,b^2\,x-\frac{3\,a^{1/3}\,{\left(-b\right)}^{5/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,{\left(-b\right)}^{1/3}}","Not used",1,"log(a^(1/3)*(-b)^(5/3) + b^2*x)/(3*a^(2/3)*(-b)^(1/3)) + (log(3*b^2*x + (3*a^(1/3)*(-b)^(5/3)*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(6*a^(2/3)*(-b)^(1/3)) - (log(3*b^2*x - (3*a^(1/3)*(-b)^(5/3)*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(6*a^(2/3)*(-b)^(1/3))","B"
361,1,127,123,1.153830,"\text{Not used}","int(1/(x^2*(a - b*x^3)),x)","\frac{{\left(-b\right)}^{1/3}\,\ln\left(b^3\,x-a^{1/3}\,{\left(-b\right)}^{8/3}\right)}{3\,a^{4/3}}-\frac{1}{a\,x}-\frac{{\left(-b\right)}^{1/3}\,\ln\left(a\,b^3\,x-a^{4/3}\,{\left(-b\right)}^{8/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,a^{4/3}}+\frac{{\left(-b\right)}^{1/3}\,\ln\left(a\,b^3\,x-9\,a^{4/3}\,{\left(-b\right)}^{8/3}\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{a^{4/3}}","Not used",1,"((-b)^(1/3)*log(b^3*x - a^(1/3)*(-b)^(8/3)))/(3*a^(4/3)) - 1/(a*x) - ((-b)^(1/3)*log(a*b^3*x - a^(4/3)*(-b)^(8/3)*((3^(1/2)*1i)/2 + 1/2)^2)*((3^(1/2)*1i)/2 + 1/2))/(3*a^(4/3)) + ((-b)^(1/3)*log(a*b^3*x - 9*a^(4/3)*(-b)^(8/3)*((3^(1/2)*1i)/6 - 1/6)^2)*((3^(1/2)*1i)/6 - 1/6))/a^(4/3)","B"
362,1,127,124,1.105426,"\text{Not used}","int(1/(x^3*(a - b*x^3)),x)","\frac{b^{2/3}\,\ln\left({\left(-a\right)}^{7/3}+a^2\,b^{1/3}\,x\right)}{3\,{\left(-a\right)}^{5/3}}-\frac{1}{2\,a\,x^2}-\frac{b^{2/3}\,\ln\left(3\,a^2\,b^3\,x-3\,{\left(-a\right)}^{7/3}\,b^{8/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,{\left(-a\right)}^{5/3}}+\frac{b^{2/3}\,\ln\left(3\,a^2\,b^3\,x+9\,{\left(-a\right)}^{7/3}\,b^{8/3}\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{{\left(-a\right)}^{5/3}}","Not used",1,"(b^(2/3)*log((-a)^(7/3) + a^2*b^(1/3)*x))/(3*(-a)^(5/3)) - 1/(2*a*x^2) - (b^(2/3)*log(3*a^2*b^3*x - 3*(-a)^(7/3)*b^(8/3)*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/(3*(-a)^(5/3)) + (b^(2/3)*log(3*a^2*b^3*x + 9*(-a)^(7/3)*b^(8/3)*((3^(1/2)*1i)/6 - 1/6))*((3^(1/2)*1i)/6 - 1/6))/(-a)^(5/3)","B"
363,1,137,125,1.210323,"\text{Not used}","int(1/(a + b*x^3 + 1),x)","\frac{\ln\left(a+b^{1/3}\,x\,{\left(a+1\right)}^{2/3}+1\right)}{3\,b^{1/3}\,{\left(a+1\right)}^{2/3}}+\frac{\ln\left(3\,b^2\,x+\frac{\left(9\,a\,b^2+9\,b^2\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,b^{1/3}\,{\left(a+1\right)}^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,b^{1/3}\,{\left(a+1\right)}^{2/3}}-\frac{\ln\left(3\,b^2\,x-\frac{\left(9\,a\,b^2+9\,b^2\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,b^{1/3}\,{\left(a+1\right)}^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,b^{1/3}\,{\left(a+1\right)}^{2/3}}","Not used",1,"log(a + b^(1/3)*x*(a + 1)^(2/3) + 1)/(3*b^(1/3)*(a + 1)^(2/3)) + (log(3*b^2*x + ((9*a*b^2 + 9*b^2)*(3^(1/2)*1i - 1))/(6*b^(1/3)*(a + 1)^(2/3)))*(3^(1/2)*1i - 1))/(6*b^(1/3)*(a + 1)^(2/3)) - (log(3*b^2*x - ((9*a*b^2 + 9*b^2)*(3^(1/2)*1i + 1))/(6*b^(1/3)*(a + 1)^(2/3)))*(3^(1/2)*1i + 1))/(6*b^(1/3)*(a + 1)^(2/3))","B"
364,1,165,124,1.323123,"\text{Not used}","int(1/(a - b*x^3 + 1),x)","\frac{\ln\left(3\,b^2\,x+\frac{9\,a\,b^2+9\,b^2}{3\,{\left(-b\right)}^{1/3}\,{\left(a+1\right)}^{2/3}}\right)}{3\,{\left(-b\right)}^{1/3}\,{\left(a+1\right)}^{2/3}}+\frac{\ln\left(3\,b^2\,x+\frac{\left(9\,a\,b^2+9\,b^2\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-b\right)}^{1/3}\,{\left(a+1\right)}^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-b\right)}^{1/3}\,{\left(a+1\right)}^{2/3}}-\frac{\ln\left(3\,b^2\,x-\frac{\left(9\,a\,b^2+9\,b^2\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-b\right)}^{1/3}\,{\left(a+1\right)}^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-b\right)}^{1/3}\,{\left(a+1\right)}^{2/3}}","Not used",1,"log(3*b^2*x + (9*a*b^2 + 9*b^2)/(3*(-b)^(1/3)*(a + 1)^(2/3)))/(3*(-b)^(1/3)*(a + 1)^(2/3)) + (log(3*b^2*x + ((9*a*b^2 + 9*b^2)*(3^(1/2)*1i - 1))/(6*(-b)^(1/3)*(a + 1)^(2/3)))*(3^(1/2)*1i - 1))/(6*(-b)^(1/3)*(a + 1)^(2/3)) - (log(3*b^2*x - ((9*a*b^2 + 9*b^2)*(3^(1/2)*1i + 1))/(6*(-b)^(1/3)*(a + 1)^(2/3)))*(3^(1/2)*1i + 1))/(6*(-b)^(1/3)*(a + 1)^(2/3))","B"
365,1,137,139,1.225945,"\text{Not used}","int(1/(a + b*x^3 - 1),x)","\frac{\ln\left(a+b^{1/3}\,x\,{\left(a-1\right)}^{2/3}-1\right)}{3\,b^{1/3}\,{\left(a-1\right)}^{2/3}}+\frac{\ln\left(3\,b^2\,x+\frac{\left(9\,a\,b^2-9\,b^2\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,b^{1/3}\,{\left(a-1\right)}^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,b^{1/3}\,{\left(a-1\right)}^{2/3}}-\frac{\ln\left(3\,b^2\,x-\frac{\left(9\,a\,b^2-9\,b^2\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,b^{1/3}\,{\left(a-1\right)}^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,b^{1/3}\,{\left(a-1\right)}^{2/3}}","Not used",1,"log(a + b^(1/3)*x*(a - 1)^(2/3) - 1)/(3*b^(1/3)*(a - 1)^(2/3)) + (log(3*b^2*x + ((9*a*b^2 - 9*b^2)*(3^(1/2)*1i - 1))/(6*b^(1/3)*(a - 1)^(2/3)))*(3^(1/2)*1i - 1))/(6*b^(1/3)*(a - 1)^(2/3)) - (log(3*b^2*x - ((9*a*b^2 - 9*b^2)*(3^(1/2)*1i + 1))/(6*b^(1/3)*(a - 1)^(2/3)))*(3^(1/2)*1i + 1))/(6*b^(1/3)*(a - 1)^(2/3))","B"
366,1,165,138,1.336024,"\text{Not used}","int(-1/(b*x^3 - a + 1),x)","\frac{\ln\left(3\,b^2\,x+\frac{9\,a\,b^2-9\,b^2}{3\,{\left(-b\right)}^{1/3}\,{\left(a-1\right)}^{2/3}}\right)}{3\,{\left(-b\right)}^{1/3}\,{\left(a-1\right)}^{2/3}}+\frac{\ln\left(3\,b^2\,x+\frac{\left(9\,a\,b^2-9\,b^2\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-b\right)}^{1/3}\,{\left(a-1\right)}^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-b\right)}^{1/3}\,{\left(a-1\right)}^{2/3}}-\frac{\ln\left(3\,b^2\,x-\frac{\left(9\,a\,b^2-9\,b^2\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-b\right)}^{1/3}\,{\left(a-1\right)}^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-b\right)}^{1/3}\,{\left(a-1\right)}^{2/3}}","Not used",1,"log(3*b^2*x + (9*a*b^2 - 9*b^2)/(3*(-b)^(1/3)*(a - 1)^(2/3)))/(3*(-b)^(1/3)*(a - 1)^(2/3)) + (log(3*b^2*x + ((9*a*b^2 - 9*b^2)*(3^(1/2)*1i - 1))/(6*(-b)^(1/3)*(a - 1)^(2/3)))*(3^(1/2)*1i - 1))/(6*(-b)^(1/3)*(a - 1)^(2/3)) - (log(3*b^2*x - ((9*a*b^2 - 9*b^2)*(3^(1/2)*1i + 1))/(6*(-b)^(1/3)*(a - 1)^(2/3)))*(3^(1/2)*1i + 1))/(6*(-b)^(1/3)*(a - 1)^(2/3))","B"
367,1,6,10,0.149430,"\text{Not used}","int(x^(1/2)/(x^3 + 1),x)","\frac{2\,\mathrm{atan}\left(x^{3/2}\right)}{3}","Not used",1,"(2*atan(x^(3/2)))/3","B"
368,1,90,80,1.119939,"\text{Not used}","int(x^11*(a + b*x^3)^(1/2),x)","\frac{2\,x^{12}\,\sqrt{b\,x^3+a}}{27}-\frac{32\,a^4\,\sqrt{b\,x^3+a}}{945\,b^4}+\frac{2\,a\,x^9\,\sqrt{b\,x^3+a}}{189\,b}+\frac{16\,a^3\,x^3\,\sqrt{b\,x^3+a}}{945\,b^3}-\frac{4\,a^2\,x^6\,\sqrt{b\,x^3+a}}{315\,b^2}","Not used",1,"(2*x^12*(a + b*x^3)^(1/2))/27 - (32*a^4*(a + b*x^3)^(1/2))/(945*b^4) + (2*a*x^9*(a + b*x^3)^(1/2))/(189*b) + (16*a^3*x^3*(a + b*x^3)^(1/2))/(945*b^3) - (4*a^2*x^6*(a + b*x^3)^(1/2))/(315*b^2)","B"
369,1,70,59,1.090803,"\text{Not used}","int(x^8*(a + b*x^3)^(1/2),x)","\frac{2\,x^9\,\sqrt{b\,x^3+a}}{21}+\frac{16\,a^3\,\sqrt{b\,x^3+a}}{315\,b^3}+\frac{2\,a\,x^6\,\sqrt{b\,x^3+a}}{105\,b}-\frac{8\,a^2\,x^3\,\sqrt{b\,x^3+a}}{315\,b^2}","Not used",1,"(2*x^9*(a + b*x^3)^(1/2))/21 + (16*a^3*(a + b*x^3)^(1/2))/(315*b^3) + (2*a*x^6*(a + b*x^3)^(1/2))/(105*b) - (8*a^2*x^3*(a + b*x^3)^(1/2))/(315*b^2)","B"
370,1,29,38,1.088037,"\text{Not used}","int(x^5*(a + b*x^3)^(1/2),x)","-\frac{10\,a\,{\left(b\,x^3+a\right)}^{3/2}-6\,{\left(b\,x^3+a\right)}^{5/2}}{45\,b^2}","Not used",1,"-(10*a*(a + b*x^3)^(3/2) - 6*(a + b*x^3)^(5/2))/(45*b^2)","B"
371,1,14,18,1.088343,"\text{Not used}","int(x^2*(a + b*x^3)^(1/2),x)","\frac{2\,{\left(b\,x^3+a\right)}^{3/2}}{9\,b}","Not used",1,"(2*(a + b*x^3)^(3/2))/(9*b)","B"
372,1,52,43,1.208715,"\text{Not used}","int((a + b*x^3)^(1/2)/x,x)","\frac{\sqrt{a}\,\ln\left(\frac{{\left(\sqrt{b\,x^3+a}-\sqrt{a}\right)}^3\,\left(\sqrt{b\,x^3+a}+\sqrt{a}\right)}{x^6}\right)}{3}+\frac{2\,\sqrt{b\,x^3+a}}{3}","Not used",1,"(a^(1/2)*log((((a + b*x^3)^(1/2) - a^(1/2))^3*((a + b*x^3)^(1/2) + a^(1/2)))/x^6))/3 + (2*(a + b*x^3)^(1/2))/3","B"
373,1,56,47,1.257423,"\text{Not used}","int((a + b*x^3)^(1/2)/x^4,x)","\frac{b\,\ln\left(\frac{{\left(\sqrt{b\,x^3+a}-\sqrt{a}\right)}^3\,\left(\sqrt{b\,x^3+a}+\sqrt{a}\right)}{x^6}\right)}{6\,\sqrt{a}}-\frac{\sqrt{b\,x^3+a}}{3\,x^3}","Not used",1,"(b*log((((a + b*x^3)^(1/2) - a^(1/2))^3*((a + b*x^3)^(1/2) + a^(1/2)))/x^6))/(6*a^(1/2)) - (a + b*x^3)^(1/2)/(3*x^3)","B"
374,1,76,71,1.345052,"\text{Not used}","int((a + b*x^3)^(1/2)/x^7,x)","\frac{b^2\,\ln\left(\frac{\left(\sqrt{b\,x^3+a}-\sqrt{a}\right)\,{\left(\sqrt{b\,x^3+a}+\sqrt{a}\right)}^3}{x^6}\right)}{24\,a^{3/2}}-\frac{\sqrt{b\,x^3+a}}{6\,x^6}-\frac{b\,\sqrt{b\,x^3+a}}{12\,a\,x^3}","Not used",1,"(b^2*log((((a + b*x^3)^(1/2) - a^(1/2))*((a + b*x^3)^(1/2) + a^(1/2))^3)/x^6))/(24*a^(3/2)) - (a + b*x^3)^(1/2)/(6*x^6) - (b*(a + b*x^3)^(1/2))/(12*a*x^3)","B"
375,1,96,95,1.498277,"\text{Not used}","int((a + b*x^3)^(1/2)/x^10,x)","\frac{b^3\,\ln\left(\frac{{\left(\sqrt{b\,x^3+a}-\sqrt{a}\right)}^3\,\left(\sqrt{b\,x^3+a}+\sqrt{a}\right)}{x^6}\right)}{48\,a^{5/2}}-\frac{\sqrt{b\,x^3+a}}{9\,x^9}-\frac{b\,\sqrt{b\,x^3+a}}{36\,a\,x^6}+\frac{b^2\,\sqrt{b\,x^3+a}}{24\,a^2\,x^3}","Not used",1,"(b^3*log((((a + b*x^3)^(1/2) - a^(1/2))^3*((a + b*x^3)^(1/2) + a^(1/2)))/x^6))/(48*a^(5/2)) - (a + b*x^3)^(1/2)/(9*x^9) - (b*(a + b*x^3)^(1/2))/(36*a*x^6) + (b^2*(a + b*x^3)^(1/2))/(24*a^2*x^3)","B"
376,0,-1,275,0.000000,"\text{Not used}","int(x^6*(a + b*x^3)^(1/2),x)","\int x^6\,\sqrt{b\,x^3+a} \,d x","Not used",1,"int(x^6*(a + b*x^3)^(1/2), x)","F"
377,0,-1,251,0.000000,"\text{Not used}","int(x^3*(a + b*x^3)^(1/2),x)","\int x^3\,\sqrt{b\,x^3+a} \,d x","Not used",1,"int(x^3*(a + b*x^3)^(1/2), x)","F"
378,1,37,227,1.015219,"\text{Not used}","int((a + b*x^3)^(1/2),x)","\frac{x\,\sqrt{b\,x^3+a}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{1}{3};\ \frac{4}{3};\ -\frac{b\,x^3}{a}\right)}{\sqrt{\frac{b\,x^3}{a}+1}}","Not used",1,"(x*(a + b*x^3)^(1/2)*hypergeom([-1/2, 1/3], 4/3, -(b*x^3)/a))/((b*x^3)/a + 1)^(1/2)","B"
379,0,-1,228,0.000000,"\text{Not used}","int((a + b*x^3)^(1/2)/x^3,x)","\int \frac{\sqrt{b\,x^3+a}}{x^3} \,d x","Not used",1,"int((a + b*x^3)^(1/2)/x^3, x)","F"
380,0,-1,253,0.000000,"\text{Not used}","int((a + b*x^3)^(1/2)/x^6,x)","\int \frac{\sqrt{b\,x^3+a}}{x^6} \,d x","Not used",1,"int((a + b*x^3)^(1/2)/x^6, x)","F"
381,0,-1,277,0.000000,"\text{Not used}","int((a + b*x^3)^(1/2)/x^9,x)","\int \frac{\sqrt{b\,x^3+a}}{x^9} \,d x","Not used",1,"int((a + b*x^3)^(1/2)/x^9, x)","F"
382,0,-1,535,0.000000,"\text{Not used}","int(x^7*(a + b*x^3)^(1/2),x)","\int x^7\,\sqrt{b\,x^3+a} \,d x","Not used",1,"int(x^7*(a + b*x^3)^(1/2), x)","F"
383,0,-1,511,0.000000,"\text{Not used}","int(x^4*(a + b*x^3)^(1/2),x)","\int x^4\,\sqrt{b\,x^3+a} \,d x","Not used",1,"int(x^4*(a + b*x^3)^(1/2), x)","F"
384,0,-1,487,0.000000,"\text{Not used}","int(x*(a + b*x^3)^(1/2),x)","\int x\,\sqrt{b\,x^3+a} \,d x","Not used",1,"int(x*(a + b*x^3)^(1/2), x)","F"
385,1,40,479,1.267536,"\text{Not used}","int((a + b*x^3)^(1/2)/x^2,x)","\frac{2\,\sqrt{b\,x^3+a}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},-\frac{1}{6};\ \frac{5}{6};\ -\frac{a}{b\,x^3}\right)}{x\,\sqrt{\frac{a}{b\,x^3}+1}}","Not used",1,"(2*(a + b*x^3)^(1/2)*hypergeom([-1/2, -1/6], 5/6, -a/(b*x^3)))/(x*(a/(b*x^3) + 1)^(1/2))","B"
386,0,-1,511,0.000000,"\text{Not used}","int((a + b*x^3)^(1/2)/x^5,x)","\int \frac{\sqrt{b\,x^3+a}}{x^5} \,d x","Not used",1,"int((a + b*x^3)^(1/2)/x^5, x)","F"
387,1,108,80,1.117451,"\text{Not used}","int(x^11*(a + b*x^3)^(3/2),x)","\frac{8\,a\,x^{12}\,\sqrt{b\,x^3+a}}{99}+\frac{2\,b\,x^{15}\,\sqrt{b\,x^3+a}}{33}-\frac{32\,a^5\,\sqrt{b\,x^3+a}}{3465\,b^4}+\frac{16\,a^4\,x^3\,\sqrt{b\,x^3+a}}{3465\,b^3}-\frac{4\,a^3\,x^6\,\sqrt{b\,x^3+a}}{1155\,b^2}+\frac{2\,a^2\,x^9\,\sqrt{b\,x^3+a}}{693\,b}","Not used",1,"(8*a*x^12*(a + b*x^3)^(1/2))/99 + (2*b*x^15*(a + b*x^3)^(1/2))/33 - (32*a^5*(a + b*x^3)^(1/2))/(3465*b^4) + (16*a^4*x^3*(a + b*x^3)^(1/2))/(3465*b^3) - (4*a^3*x^6*(a + b*x^3)^(1/2))/(1155*b^2) + (2*a^2*x^9*(a + b*x^3)^(1/2))/(693*b)","B"
388,1,88,59,1.072932,"\text{Not used}","int(x^8*(a + b*x^3)^(3/2),x)","\frac{20\,a\,x^9\,\sqrt{b\,x^3+a}}{189}+\frac{2\,b\,x^{12}\,\sqrt{b\,x^3+a}}{27}+\frac{16\,a^4\,\sqrt{b\,x^3+a}}{945\,b^3}-\frac{8\,a^3\,x^3\,\sqrt{b\,x^3+a}}{945\,b^2}+\frac{2\,a^2\,x^6\,\sqrt{b\,x^3+a}}{315\,b}","Not used",1,"(20*a*x^9*(a + b*x^3)^(1/2))/189 + (2*b*x^12*(a + b*x^3)^(1/2))/27 + (16*a^4*(a + b*x^3)^(1/2))/(945*b^3) - (8*a^3*x^3*(a + b*x^3)^(1/2))/(945*b^2) + (2*a^2*x^6*(a + b*x^3)^(1/2))/(315*b)","B"
389,1,68,38,1.102414,"\text{Not used}","int(x^5*(a + b*x^3)^(3/2),x)","\frac{16\,a\,x^6\,\sqrt{b\,x^3+a}}{105}+\frac{2\,b\,x^9\,\sqrt{b\,x^3+a}}{21}-\frac{4\,a^3\,\sqrt{b\,x^3+a}}{105\,b^2}+\frac{2\,a^2\,x^3\,\sqrt{b\,x^3+a}}{105\,b}","Not used",1,"(16*a*x^6*(a + b*x^3)^(1/2))/105 + (2*b*x^9*(a + b*x^3)^(1/2))/21 - (4*a^3*(a + b*x^3)^(1/2))/(105*b^2) + (2*a^2*x^3*(a + b*x^3)^(1/2))/(105*b)","B"
390,1,14,18,1.094253,"\text{Not used}","int(x^2*(a + b*x^3)^(3/2),x)","\frac{2\,{\left(b\,x^3+a\right)}^{5/2}}{15\,b}","Not used",1,"(2*(a + b*x^3)^(5/2))/(15*b)","B"
391,1,68,59,1.182017,"\text{Not used}","int((a + b*x^3)^(3/2)/x,x)","\frac{a^{3/2}\,\ln\left(\frac{{\left(\sqrt{b\,x^3+a}-\sqrt{a}\right)}^3\,\left(\sqrt{b\,x^3+a}+\sqrt{a}\right)}{x^6}\right)}{3}+\frac{8\,a\,\sqrt{b\,x^3+a}}{9}+\frac{2\,b\,x^3\,\sqrt{b\,x^3+a}}{9}","Not used",1,"(a^(3/2)*log((((a + b*x^3)^(1/2) - a^(1/2))^3*((a + b*x^3)^(1/2) + a^(1/2)))/x^6))/3 + (8*a*(a + b*x^3)^(1/2))/9 + (2*b*x^3*(a + b*x^3)^(1/2))/9","B"
392,1,69,58,1.306020,"\text{Not used}","int((a + b*x^3)^(3/2)/x^4,x)","\frac{2\,b\,\sqrt{b\,x^3+a}}{3}-\frac{a\,\sqrt{b\,x^3+a}}{3\,x^3}+\frac{\sqrt{a}\,b\,\ln\left(\frac{{\left(\sqrt{b\,x^3+a}-\sqrt{a}\right)}^3\,\left(\sqrt{b\,x^3+a}+\sqrt{a}\right)}{x^6}\right)}{2}","Not used",1,"(2*b*(a + b*x^3)^(1/2))/3 - (a*(a + b*x^3)^(1/2))/(3*x^3) + (a^(1/2)*b*log((((a + b*x^3)^(1/2) - a^(1/2))^3*((a + b*x^3)^(1/2) + a^(1/2)))/x^6))/2","B"
393,1,74,68,1.435000,"\text{Not used}","int((a + b*x^3)^(3/2)/x^7,x)","\frac{b^2\,\ln\left(\frac{{\left(\sqrt{b\,x^3+a}-\sqrt{a}\right)}^3\,\left(\sqrt{b\,x^3+a}+\sqrt{a}\right)}{x^6}\right)}{8\,\sqrt{a}}-\frac{5\,b\,\sqrt{b\,x^3+a}}{12\,x^3}-\frac{a\,\sqrt{b\,x^3+a}}{6\,x^6}","Not used",1,"(b^2*log((((a + b*x^3)^(1/2) - a^(1/2))^3*((a + b*x^3)^(1/2) + a^(1/2)))/x^6))/(8*a^(1/2)) - (5*b*(a + b*x^3)^(1/2))/(12*x^3) - (a*(a + b*x^3)^(1/2))/(6*x^6)","B"
394,0,-1,296,0.000000,"\text{Not used}","int(x^6*(a + b*x^3)^(3/2),x)","\int x^6\,{\left(b\,x^3+a\right)}^{3/2} \,d x","Not used",1,"int(x^6*(a + b*x^3)^(3/2), x)","F"
395,0,-1,272,0.000000,"\text{Not used}","int(x^3*(a + b*x^3)^(3/2),x)","\int x^3\,{\left(b\,x^3+a\right)}^{3/2} \,d x","Not used",1,"int(x^3*(a + b*x^3)^(3/2), x)","F"
396,1,37,246,1.017638,"\text{Not used}","int((a + b*x^3)^(3/2),x)","\frac{x\,{\left(b\,x^3+a\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{1}{3};\ \frac{4}{3};\ -\frac{b\,x^3}{a}\right)}{{\left(\frac{b\,x^3}{a}+1\right)}^{3/2}}","Not used",1,"(x*(a + b*x^3)^(3/2)*hypergeom([-3/2, 1/3], 4/3, -(b*x^3)/a))/((b*x^3)/a + 1)^(3/2)","B"
397,0,-1,246,0.000000,"\text{Not used}","int((a + b*x^3)^(3/2)/x^3,x)","\int \frac{{\left(b\,x^3+a\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((a + b*x^3)^(3/2)/x^3, x)","F"
398,0,-1,247,0.000000,"\text{Not used}","int((a + b*x^3)^(3/2)/x^6,x)","\int \frac{{\left(b\,x^3+a\right)}^{3/2}}{x^6} \,d x","Not used",1,"int((a + b*x^3)^(3/2)/x^6, x)","F"
399,0,-1,556,0.000000,"\text{Not used}","int(x^7*(a + b*x^3)^(3/2),x)","\int x^7\,{\left(b\,x^3+a\right)}^{3/2} \,d x","Not used",1,"int(x^7*(a + b*x^3)^(3/2), x)","F"
400,0,-1,532,0.000000,"\text{Not used}","int(x^4*(a + b*x^3)^(3/2),x)","\int x^4\,{\left(b\,x^3+a\right)}^{3/2} \,d x","Not used",1,"int(x^4*(a + b*x^3)^(3/2), x)","F"
401,0,-1,508,0.000000,"\text{Not used}","int(x*(a + b*x^3)^(3/2),x)","\int x\,{\left(b\,x^3+a\right)}^{3/2} \,d x","Not used",1,"int(x*(a + b*x^3)^(3/2), x)","F"
402,1,40,504,1.575467,"\text{Not used}","int((a + b*x^3)^(3/2)/x^2,x)","\frac{2\,{\left(b\,x^3+a\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},-\frac{7}{6};\ -\frac{1}{6};\ -\frac{a}{b\,x^3}\right)}{7\,x\,{\left(\frac{a}{b\,x^3}+1\right)}^{3/2}}","Not used",1,"(2*(a + b*x^3)^(3/2)*hypergeom([-3/2, -7/6], -1/6, -a/(b*x^3)))/(7*x*(a/(b*x^3) + 1)^(3/2))","B"
403,0,-1,505,0.000000,"\text{Not used}","int((a + b*x^3)^(3/2)/x^5,x)","\int \frac{{\left(b\,x^3+a\right)}^{3/2}}{x^5} \,d x","Not used",1,"int((a + b*x^3)^(3/2)/x^5, x)","F"
404,1,73,80,1.129045,"\text{Not used}","int(x^11/(a + b*x^3)^(1/2),x)","\frac{2\,x^9\,\sqrt{b\,x^3+a}}{21\,b}-\frac{32\,a^3\,\sqrt{b\,x^3+a}}{105\,b^4}-\frac{4\,a\,x^6\,\sqrt{b\,x^3+a}}{35\,b^2}+\frac{16\,a^2\,x^3\,\sqrt{b\,x^3+a}}{105\,b^3}","Not used",1,"(2*x^9*(a + b*x^3)^(1/2))/(21*b) - (32*a^3*(a + b*x^3)^(1/2))/(105*b^4) - (4*a*x^6*(a + b*x^3)^(1/2))/(35*b^2) + (16*a^2*x^3*(a + b*x^3)^(1/2))/(105*b^3)","B"
405,1,35,59,1.105789,"\text{Not used}","int(x^8/(a + b*x^3)^(1/2),x)","\frac{2\,\sqrt{b\,x^3+a}\,\left(8\,a^2-4\,a\,b\,x^3+3\,b^2\,x^6\right)}{45\,b^3}","Not used",1,"(2*(a + b*x^3)^(1/2)*(8*a^2 + 3*b^2*x^6 - 4*a*b*x^3))/(45*b^3)","B"
406,1,24,38,1.089511,"\text{Not used}","int(x^5/(a + b*x^3)^(1/2),x)","-\frac{2\,\sqrt{b\,x^3+a}\,\left(2\,a-b\,x^3\right)}{9\,b^2}","Not used",1,"-(2*(a + b*x^3)^(1/2)*(2*a - b*x^3))/(9*b^2)","B"
407,1,14,18,1.095876,"\text{Not used}","int(x^2/(a + b*x^3)^(1/2),x)","\frac{2\,\sqrt{b\,x^3+a}}{3\,b}","Not used",1,"(2*(a + b*x^3)^(1/2))/(3*b)","B"
408,1,40,27,1.227639,"\text{Not used}","int(1/(x*(a + b*x^3)^(1/2)),x)","\frac{\ln\left(\frac{{\left(\sqrt{b\,x^3+a}-\sqrt{a}\right)}^3\,\left(\sqrt{b\,x^3+a}+\sqrt{a}\right)}{x^6}\right)}{3\,\sqrt{a}}","Not used",1,"log((((a + b*x^3)^(1/2) - a^(1/2))^3*((a + b*x^3)^(1/2) + a^(1/2)))/x^6)/(3*a^(1/2))","B"
409,1,59,50,1.280758,"\text{Not used}","int(1/(x^4*(a + b*x^3)^(1/2)),x)","\frac{b\,\ln\left(\frac{\left(\sqrt{b\,x^3+a}-\sqrt{a}\right)\,{\left(\sqrt{b\,x^3+a}+\sqrt{a}\right)}^3}{x^6}\right)}{6\,a^{3/2}}-\frac{\sqrt{b\,x^3+a}}{3\,a\,x^3}","Not used",1,"(b*log((((a + b*x^3)^(1/2) - a^(1/2))*((a + b*x^3)^(1/2) + a^(1/2))^3)/x^6))/(6*a^(3/2)) - (a + b*x^3)^(1/2)/(3*a*x^3)","B"
410,1,79,74,1.318863,"\text{Not used}","int(1/(x^7*(a + b*x^3)^(1/2)),x)","\frac{b^2\,\ln\left(\frac{{\left(\sqrt{b\,x^3+a}-\sqrt{a}\right)}^3\,\left(\sqrt{b\,x^3+a}+\sqrt{a}\right)}{x^6}\right)}{8\,a^{5/2}}-\frac{\sqrt{b\,x^3+a}}{6\,a\,x^6}+\frac{b\,\sqrt{b\,x^3+a}}{4\,a^2\,x^3}","Not used",1,"(b^2*log((((a + b*x^3)^(1/2) - a^(1/2))^3*((a + b*x^3)^(1/2) + a^(1/2)))/x^6))/(8*a^(5/2)) - (a + b*x^3)^(1/2)/(6*a*x^6) + (b*(a + b*x^3)^(1/2))/(4*a^2*x^3)","B"
411,0,-1,254,0.000000,"\text{Not used}","int(x^6/(a + b*x^3)^(1/2),x)","\int \frac{x^6}{\sqrt{b\,x^3+a}} \,d x","Not used",1,"int(x^6/(a + b*x^3)^(1/2), x)","F"
412,0,-1,230,0.000000,"\text{Not used}","int(x^3/(a + b*x^3)^(1/2),x)","\int \frac{x^3}{\sqrt{b\,x^3+a}} \,d x","Not used",1,"int(x^3/(a + b*x^3)^(1/2), x)","F"
413,1,37,207,1.021157,"\text{Not used}","int(1/(a + b*x^3)^(1/2),x)","\frac{x\,\sqrt{\frac{b\,x^3}{a}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{2};\ \frac{4}{3};\ -\frac{b\,x^3}{a}\right)}{\sqrt{b\,x^3+a}}","Not used",1,"(x*((b*x^3)/a + 1)^(1/2)*hypergeom([1/3, 1/2], 4/3, -(b*x^3)/a))/(a + b*x^3)^(1/2)","B"
414,0,-1,234,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^3)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{b\,x^3+a}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^3)^(1/2)), x)","F"
415,0,-1,256,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^3)^(1/2)),x)","\int \frac{1}{x^6\,\sqrt{b\,x^3+a}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^3)^(1/2)), x)","F"
416,0,-1,514,0.000000,"\text{Not used}","int(x^7/(a + b*x^3)^(1/2),x)","\int \frac{x^7}{\sqrt{b\,x^3+a}} \,d x","Not used",1,"int(x^7/(a + b*x^3)^(1/2), x)","F"
417,0,-1,490,0.000000,"\text{Not used}","int(x^4/(a + b*x^3)^(1/2),x)","\int \frac{x^4}{\sqrt{b\,x^3+a}} \,d x","Not used",1,"int(x^4/(a + b*x^3)^(1/2), x)","F"
418,0,-1,462,0.000000,"\text{Not used}","int(x/(a + b*x^3)^(1/2),x)","\int \frac{x}{\sqrt{b\,x^3+a}} \,d x","Not used",1,"int(x/(a + b*x^3)^(1/2), x)","F"
419,1,40,484,1.282968,"\text{Not used}","int(1/(x^2*(a + b*x^3)^(1/2)),x)","-\frac{2\,\sqrt{\frac{a}{b\,x^3}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{5}{6};\ \frac{11}{6};\ -\frac{a}{b\,x^3}\right)}{5\,x\,\sqrt{b\,x^3+a}}","Not used",1,"-(2*(a/(b*x^3) + 1)^(1/2)*hypergeom([1/2, 5/6], 11/6, -a/(b*x^3)))/(5*x*(a + b*x^3)^(1/2))","B"
420,0,-1,514,0.000000,"\text{Not used}","int(1/(x^5*(a + b*x^3)^(1/2)),x)","\int \frac{1}{x^5\,\sqrt{b\,x^3+a}} \,d x","Not used",1,"int(1/(x^5*(a + b*x^3)^(1/2)), x)","F"
421,1,70,78,1.336233,"\text{Not used}","int(x^11/(a + b*x^3)^(3/2),x)","\frac{22\,a^2\,\sqrt{b\,x^3+a}}{15\,b^4}+\frac{2\,a^3}{3\,b^4\,\sqrt{b\,x^3+a}}+\frac{2\,x^6\,\sqrt{b\,x^3+a}}{15\,b^2}-\frac{2\,a\,x^3\,\sqrt{b\,x^3+a}}{5\,b^3}","Not used",1,"(22*a^2*(a + b*x^3)^(1/2))/(15*b^4) + (2*a^3)/(3*b^4*(a + b*x^3)^(1/2)) + (2*x^6*(a + b*x^3)^(1/2))/(15*b^2) - (2*a*x^3*(a + b*x^3)^(1/2))/(5*b^3)","B"
422,1,41,59,1.183112,"\text{Not used}","int(x^8/(a + b*x^3)^(3/2),x)","-\frac{12\,a\,\left(b\,x^3+a\right)-2\,{\left(b\,x^3+a\right)}^2+6\,a^2}{9\,b^3\,\sqrt{b\,x^3+a}}","Not used",1,"-(12*a*(a + b*x^3) - 2*(a + b*x^3)^2 + 6*a^2)/(9*b^3*(a + b*x^3)^(1/2))","B"
423,1,24,38,1.137554,"\text{Not used}","int(x^5/(a + b*x^3)^(3/2),x)","\frac{2\,b\,x^3+4\,a}{3\,b^2\,\sqrt{b\,x^3+a}}","Not used",1,"(4*a + 2*b*x^3)/(3*b^2*(a + b*x^3)^(1/2))","B"
424,1,14,18,1.095410,"\text{Not used}","int(x^2/(a + b*x^3)^(3/2),x)","-\frac{2}{3\,b\,\sqrt{b\,x^3+a}}","Not used",1,"-2/(3*b*(a + b*x^3)^(1/2))","B"
425,1,55,46,1.229630,"\text{Not used}","int(1/(x*(a + b*x^3)^(3/2)),x)","\frac{\ln\left(\frac{{\left(\sqrt{b\,x^3+a}-\sqrt{a}\right)}^3\,\left(\sqrt{b\,x^3+a}+\sqrt{a}\right)}{x^6}\right)}{3\,a^{3/2}}+\frac{2}{3\,a\,\sqrt{b\,x^3+a}}","Not used",1,"log((((a + b*x^3)^(1/2) - a^(1/2))^3*((a + b*x^3)^(1/2) + a^(1/2)))/x^6)/(3*a^(3/2)) + 2/(3*a*(a + b*x^3)^(1/2))","B"
426,1,74,64,1.336596,"\text{Not used}","int(1/(x^4*(a + b*x^3)^(3/2)),x)","\frac{b\,\ln\left(\frac{\left(\sqrt{b\,x^3+a}-\sqrt{a}\right)\,{\left(\sqrt{b\,x^3+a}+\sqrt{a}\right)}^3}{x^6}\right)}{2\,a^{5/2}}-\frac{2\,b}{3\,a^2\,\sqrt{b\,x^3+a}}-\frac{\sqrt{b\,x^3+a}}{3\,a^2\,x^3}","Not used",1,"(b*log((((a + b*x^3)^(1/2) - a^(1/2))*((a + b*x^3)^(1/2) + a^(1/2))^3)/x^6))/(2*a^(5/2)) - (2*b)/(3*a^2*(a + b*x^3)^(1/2)) - (a + b*x^3)^(1/2)/(3*a^2*x^3)","B"
427,1,96,95,1.465253,"\text{Not used}","int(1/(x^7*(a + b*x^3)^(3/2)),x)","\frac{2\,b^2}{3\,a^3\,\sqrt{b\,x^3+a}}-\frac{\sqrt{b\,x^3+a}}{6\,a^2\,x^6}+\frac{5\,b^2\,\ln\left(\frac{{\left(\sqrt{b\,x^3+a}-\sqrt{a}\right)}^3\,\left(\sqrt{b\,x^3+a}+\sqrt{a}\right)}{x^6}\right)}{8\,a^{7/2}}+\frac{7\,b\,\sqrt{b\,x^3+a}}{12\,a^3\,x^3}","Not used",1,"(2*b^2)/(3*a^3*(a + b*x^3)^(1/2)) - (a + b*x^3)^(1/2)/(6*a^2*x^6) + (5*b^2*log((((a + b*x^3)^(1/2) - a^(1/2))^3*((a + b*x^3)^(1/2) + a^(1/2)))/x^6))/(8*a^(7/2)) + (7*b*(a + b*x^3)^(1/2))/(12*a^3*x^3)","B"
428,0,-1,251,0.000000,"\text{Not used}","int(x^6/(a + b*x^3)^(3/2),x)","\int \frac{x^6}{{\left(b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(x^6/(a + b*x^3)^(3/2), x)","F"
429,0,-1,229,0.000000,"\text{Not used}","int(x^3/(a + b*x^3)^(3/2),x)","\int \frac{x^3}{{\left(b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(x^3/(a + b*x^3)^(3/2), x)","F"
430,1,37,232,1.130394,"\text{Not used}","int(1/(a + b*x^3)^(3/2),x)","\frac{x\,{\left(\frac{b\,x^3}{a}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{3}{2};\ \frac{4}{3};\ -\frac{b\,x^3}{a}\right)}{{\left(b\,x^3+a\right)}^{3/2}}","Not used",1,"(x*((b*x^3)/a + 1)^(3/2)*hypergeom([1/3, 3/2], 4/3, -(b*x^3)/a))/(a + b*x^3)^(3/2)","B"
431,0,-1,255,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^3)^(3/2)),x)","\int \frac{1}{x^3\,{\left(b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^3)^(3/2)), x)","F"
432,0,-1,277,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^3)^(3/2)),x)","\int \frac{1}{x^6\,{\left(b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^3)^(3/2)), x)","F"
433,0,-1,511,0.000000,"\text{Not used}","int(x^7/(a + b*x^3)^(3/2),x)","\int \frac{x^7}{{\left(b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(x^7/(a + b*x^3)^(3/2), x)","F"
434,0,-1,487,0.000000,"\text{Not used}","int(x^4/(a + b*x^3)^(3/2),x)","\int \frac{x^4}{{\left(b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(x^4/(a + b*x^3)^(3/2), x)","F"
435,0,-1,489,0.000000,"\text{Not used}","int(x/(a + b*x^3)^(3/2),x)","\int \frac{x}{{\left(b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(x/(a + b*x^3)^(3/2), x)","F"
436,1,40,513,1.369555,"\text{Not used}","int(1/(x^2*(a + b*x^3)^(3/2)),x)","-\frac{2\,{\left(\frac{a}{b\,x^3}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{2},\frac{11}{6};\ \frac{17}{6};\ -\frac{a}{b\,x^3}\right)}{11\,x\,{\left(b\,x^3+a\right)}^{3/2}}","Not used",1,"-(2*(a/(b*x^3) + 1)^(3/2)*hypergeom([3/2, 11/6], 17/6, -a/(b*x^3)))/(11*x*(a + b*x^3)^(3/2))","B"
437,0,-1,535,0.000000,"\text{Not used}","int(1/(x^5*(a + b*x^3)^(3/2)),x)","\int \frac{1}{x^5\,{\left(b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^5*(a + b*x^3)^(3/2)), x)","F"
438,1,46,53,1.003804,"\text{Not used}","int(x^11/(x^3 + 1)^(1/2),x)","\frac{16\,x^3\,\sqrt{x^3+1}}{105}-\frac{32\,\sqrt{x^3+1}}{105}-\frac{4\,x^6\,\sqrt{x^3+1}}{35}+\frac{2\,x^9\,\sqrt{x^3+1}}{21}","Not used",1,"(16*x^3*(x^3 + 1)^(1/2))/105 - (32*(x^3 + 1)^(1/2))/105 - (4*x^6*(x^3 + 1)^(1/2))/35 + (2*x^9*(x^3 + 1)^(1/2))/21","B"
439,1,21,40,0.034887,"\text{Not used}","int(x^8/(x^3 + 1)^(1/2),x)","\frac{2\,\sqrt{x^3+1}\,\left(3\,x^6-4\,x^3+8\right)}{45}","Not used",1,"(2*(x^3 + 1)^(1/2)*(3*x^6 - 4*x^3 + 8))/45","B"
440,1,14,27,0.024385,"\text{Not used}","int(x^5/(x^3 + 1)^(1/2),x)","\frac{2\,\sqrt{x^3+1}\,\left(x^3-2\right)}{9}","Not used",1,"(2*(x^3 + 1)^(1/2)*(x^3 - 2))/9","B"
441,1,9,13,0.023306,"\text{Not used}","int(x^2/(x^3 + 1)^(1/2),x)","\frac{2\,\sqrt{x^3+1}}{3}","Not used",1,"(2*(x^3 + 1)^(1/2))/3","B"
442,1,164,14,1.143957,"\text{Not used}","int(1/(x*(x^3 + 1)^(1/2)),x)","-\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-((3^(1/2)*1i + 3)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
443,1,176,31,0.988739,"\text{Not used}","int(1/(x^4*(x^3 + 1)^(1/2)),x)","-\frac{\sqrt{x^3+1}}{3\,x^3}+\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2) - (x^3 + 1)^(1/2)/(3*x^3)","B"
444,1,189,47,0.061037,"\text{Not used}","int(1/(x^7*(x^3 + 1)^(1/2)),x)","\frac{\sqrt{x^3+1}}{4\,x^3}-\frac{\sqrt{x^3+1}}{6\,x^6}-\frac{3\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{4\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(x^3 + 1)^(1/2)/(4*x^3) - (x^3 + 1)^(1/2)/(6*x^6) - (3*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(4*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
445,1,201,63,0.039215,"\text{Not used}","int(1/(x^10*(x^3 + 1)^(1/2)),x)","\frac{5\,\sqrt{x^3+1}}{36\,x^6}-\frac{5\,\sqrt{x^3+1}}{24\,x^3}-\frac{\sqrt{x^3+1}}{9\,x^9}+\frac{5\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{8\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(5*(x^3 + 1)^(1/2))/(36*x^6) - (5*(x^3 + 1)^(1/2))/(24*x^3) - (x^3 + 1)^(1/2)/(9*x^9) + (5*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(8*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
446,1,179,136,0.984378,"\text{Not used}","int(x^6/(x^3 + 1)^(1/2),x)","\frac{2\,x^4\,\sqrt{x^3+1}}{11}-\frac{16\,x\,\sqrt{x^3+1}}{55}+\frac{32\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{55\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*x^4*(x^3 + 1)^(1/2))/11 - (16*x*(x^3 + 1)^(1/2))/55 + (32*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(55*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
447,1,167,120,0.044943,"\text{Not used}","int(x^3/(x^3 + 1)^(1/2),x)","\frac{2\,x\,\sqrt{x^3+1}}{5}-\frac{4\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{5\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*x*(x^3 + 1)^(1/2))/5 - (4*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(5*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
448,1,155,103,0.035953,"\text{Not used}","int(1/(x^3 + 1)^(1/2),x)","\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"((3^(1/2)*1i + 3)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
449,1,169,122,0.993862,"\text{Not used}","int(1/(x^3*(x^3 + 1)^(1/2)),x)","-\frac{\sqrt{x^3+1}}{2\,x^2}-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (x^3 + 1)^(1/2)/(2*x^2) - (((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(2*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
450,1,181,138,1.000470,"\text{Not used}","int(1/(x^6*(x^3 + 1)^(1/2)),x)","\frac{7\,\sqrt{x^3+1}}{20\,x^2}-\frac{\sqrt{x^3+1}}{5\,x^5}+\frac{7\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{20\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(7*(x^3 + 1)^(1/2))/(20*x^2) - (x^3 + 1)^(1/2)/(5*x^5) + (7*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(20*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
451,1,239,262,0.991602,"\text{Not used}","int(x^7/(x^3 + 1)^(1/2),x)","\frac{2\,x^5\,\sqrt{x^3+1}}{13}-\frac{20\,x^2\,\sqrt{x^3+1}}{91}-\frac{80\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{91\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*x^5*(x^3 + 1)^(1/2))/13 - (20*x^2*(x^3 + 1)^(1/2))/91 - (80*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(91*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
452,1,227,246,1.002892,"\text{Not used}","int(x^4/(x^3 + 1)^(1/2),x)","\frac{2\,x^2\,\sqrt{x^3+1}}{7}+\frac{8\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{7\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*x^2*(x^3 + 1)^(1/2))/7 + (8*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(7*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
453,1,214,224,0.046125,"\text{Not used}","int(x/(x^3 + 1)^(1/2),x)","-\frac{2\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-(2*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
454,1,227,238,0.071202,"\text{Not used}","int(1/(x^2*(x^3 + 1)^(1/2)),x)","-\frac{\sqrt{x^3+1}}{x}-\frac{\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (x^3 + 1)^(1/2)/x - ((((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)","B"
455,1,239,262,1.007714,"\text{Not used}","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(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{8\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(5*(x^3 + 1)^(1/2))/(8*x) - (x^3 + 1)^(1/2)/(4*x^4) + (5*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(8*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
456,1,54,61,0.037027,"\text{Not used}","int(x^11/(1 - x^3)^(1/2),x)","-\frac{16\,x^3\,\sqrt{1-x^3}}{105}-\frac{4\,x^6\,\sqrt{1-x^3}}{35}-\frac{2\,x^9\,\sqrt{1-x^3}}{21}-\frac{32\,\sqrt{1-x^3}}{105}","Not used",1,"- (16*x^3*(1 - x^3)^(1/2))/105 - (4*x^6*(1 - x^3)^(1/2))/35 - (2*x^9*(1 - x^3)^(1/2))/21 - (32*(1 - x^3)^(1/2))/105","B"
457,1,23,46,0.027821,"\text{Not used}","int(x^8/(1 - x^3)^(1/2),x)","-\frac{2\,\sqrt{1-x^3}\,\left(3\,x^6+4\,x^3+8\right)}{45}","Not used",1,"-(2*(1 - x^3)^(1/2)*(4*x^3 + 3*x^6 + 8))/45","B"
458,1,16,31,0.028251,"\text{Not used}","int(x^5/(1 - x^3)^(1/2),x)","-\frac{2\,\sqrt{1-x^3}\,\left(x^3+2\right)}{9}","Not used",1,"-(2*(1 - x^3)^(1/2)*(x^3 + 2))/9","B"
459,1,11,15,0.021568,"\text{Not used}","int(x^2/(1 - x^3)^(1/2),x)","-\frac{2\,\sqrt{1-x^3}}{3}","Not used",1,"-(2*(1 - x^3)^(1/2))/3","B"
460,1,180,16,0.185610,"\text{Not used}","int(1/(x*(1 - x^3)^(1/2)),x)","-\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-(2*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/((1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
461,1,195,35,0.065584,"\text{Not used}","int(1/(x^4*(1 - x^3)^(1/2)),x)","-\frac{\sqrt{1-x^3}}{3\,x^3}-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (1 - x^3)^(1/2)/(3*x^3) - (((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/((1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
462,1,209,53,0.041858,"\text{Not used}","int(1/(x^7*(1 - x^3)^(1/2)),x)","-\frac{\sqrt{1-x^3}}{4\,x^3}-\frac{\sqrt{1-x^3}}{6\,x^6}-\frac{3\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{4\,\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (1 - x^3)^(1/2)/(4*x^3) - (1 - x^3)^(1/2)/(6*x^6) - (3*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(4*(1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
463,1,223,71,0.029694,"\text{Not used}","int(1/(x^10*(1 - x^3)^(1/2)),x)","-\frac{5\,\sqrt{1-x^3}}{24\,x^3}-\frac{5\,\sqrt{1-x^3}}{36\,x^6}-\frac{\sqrt{1-x^3}}{9\,x^9}-\frac{5\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{8\,\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (5*(1 - x^3)^(1/2))/(24*x^3) - (5*(1 - x^3)^(1/2))/(36*x^6) - (1 - x^3)^(1/2)/(9*x^9) - (5*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(8*(1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
464,1,199,152,0.038740,"\text{Not used}","int(x^6/(1 - x^3)^(1/2),x)","-\frac{2\,x^4\,\sqrt{1-x^3}}{11}-\frac{16\,x\,\sqrt{1-x^3}}{55}-\frac{32\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{55\,\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (2*x^4*(1 - x^3)^(1/2))/11 - (16*x*(1 - x^3)^(1/2))/55 - (32*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(55*(1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
465,1,185,134,0.992536,"\text{Not used}","int(x^3/(1 - x^3)^(1/2),x)","-\frac{2\,x\,\sqrt{1-x^3}}{5}-\frac{4\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{5\,\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (2*x*(1 - x^3)^(1/2))/5 - (4*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(5*(1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
466,1,172,115,0.032433,"\text{Not used}","int(1/(1 - x^3)^(1/2),x)","-\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-(2*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/((1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
467,1,187,136,0.055441,"\text{Not used}","int(1/(x^3*(1 - x^3)^(1/2)),x)","-\frac{\sqrt{1-x^3}}{2\,x^2}-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (1 - x^3)^(1/2)/(2*x^2) - (((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(2*(1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
468,1,201,154,0.040549,"\text{Not used}","int(1/(x^6*(1 - x^3)^(1/2)),x)","-\frac{7\,\sqrt{1-x^3}}{20\,x^2}-\frac{\sqrt{1-x^3}}{5\,x^5}-\frac{7\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{20\,\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (7*(1 - x^3)^(1/2))/(20*x^2) - (1 - x^3)^(1/2)/(5*x^5) - (7*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(20*(1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
469,1,260,294,0.045762,"\text{Not used}","int(x^7/(1 - x^3)^(1/2),x)","-\frac{20\,x^2\,\sqrt{1-x^3}}{91}-\frac{2\,x^5\,\sqrt{1-x^3}}{13}-\frac{80\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{91\,\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (20*x^2*(1 - x^3)^(1/2))/91 - (2*x^5*(1 - x^3)^(1/2))/13 - (80*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(91*(1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
470,1,246,276,0.058999,"\text{Not used}","int(x^4/(1 - x^3)^(1/2),x)","-\frac{2\,x^2\,\sqrt{1-x^3}}{7}-\frac{8\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{7\,\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (2*x^2*(1 - x^3)^(1/2))/7 - (8*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(7*(1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
471,1,231,252,0.039270,"\text{Not used}","int(x/(1 - x^3)^(1/2),x)","-\frac{2\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-(2*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/((1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
472,1,245,270,1.021196,"\text{Not used}","int(1/(x^2*(1 - x^3)^(1/2)),x)","-\frac{\sqrt{1-x^3}}{x}+\frac{\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"((((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/((1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)) - (1 - x^3)^(1/2)/x","B"
473,1,260,294,0.045063,"\text{Not used}","int(1/(x^5*(1 - x^3)^(1/2)),x)","-\frac{5\,\sqrt{1-x^3}}{8\,x}-\frac{\sqrt{1-x^3}}{4\,x^4}+\frac{5\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3-1}\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{8\,\sqrt{1-x^3}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(5*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(x^3 - 1)^(1/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(8*(1 - x^3)^(1/2)*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)) - (1 - x^3)^(1/2)/(4*x^4) - (5*(1 - x^3)^(1/2))/(8*x)","B"
474,1,46,53,0.036812,"\text{Not used}","int(x^11/(x^3 - 1)^(1/2),x)","\frac{32\,\sqrt{x^3-1}}{105}+\frac{16\,x^3\,\sqrt{x^3-1}}{105}+\frac{4\,x^6\,\sqrt{x^3-1}}{35}+\frac{2\,x^9\,\sqrt{x^3-1}}{21}","Not used",1,"(32*(x^3 - 1)^(1/2))/105 + (16*x^3*(x^3 - 1)^(1/2))/105 + (4*x^6*(x^3 - 1)^(1/2))/35 + (2*x^9*(x^3 - 1)^(1/2))/21","B"
475,1,21,40,0.026091,"\text{Not used}","int(x^8/(x^3 - 1)^(1/2),x)","\frac{2\,\sqrt{x^3-1}\,\left(3\,x^6+4\,x^3+8\right)}{45}","Not used",1,"(2*(x^3 - 1)^(1/2)*(4*x^3 + 3*x^6 + 8))/45","B"
476,1,14,27,0.020704,"\text{Not used}","int(x^5/(x^3 - 1)^(1/2),x)","\frac{2\,\sqrt{x^3-1}\,\left(x^3+2\right)}{9}","Not used",1,"(2*(x^3 - 1)^(1/2)*(x^3 + 2))/9","B"
477,1,9,13,0.022179,"\text{Not used}","int(x^2/(x^3 - 1)^(1/2),x)","\frac{2\,\sqrt{x^3-1}}{3}","Not used",1,"(2*(x^3 - 1)^(1/2))/3","B"
478,1,164,14,0.041039,"\text{Not used}","int(1/(x*(x^3 - 1)^(1/2)),x)","-\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-((3^(1/2)*1i + 3)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
479,1,177,31,1.000394,"\text{Not used}","int(1/(x^4*(x^3 - 1)^(1/2)),x)","\frac{\sqrt{x^3-1}}{3\,x^3}-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(x^3 - 1)^(1/2)/(3*x^3) - (((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
480,1,189,47,0.999054,"\text{Not used}","int(1/(x^7*(x^3 - 1)^(1/2)),x)","\frac{\sqrt{x^3-1}}{4\,x^3}+\frac{\sqrt{x^3-1}}{6\,x^6}-\frac{3\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{4\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(x^3 - 1)^(1/2)/(4*x^3) + (x^3 - 1)^(1/2)/(6*x^6) - (3*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(4*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
481,1,201,63,0.038266,"\text{Not used}","int(1/(x^10*(x^3 - 1)^(1/2)),x)","\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}-\frac{5\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{8\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(5*(x^3 - 1)^(1/2))/(24*x^3) + (5*(x^3 - 1)^(1/2))/(36*x^6) + (x^3 - 1)^(1/2)/(9*x^9) - (5*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(8*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
482,1,179,153,0.047002,"\text{Not used}","int(x^6/(x^3 - 1)^(1/2),x)","\frac{16\,x\,\sqrt{x^3-1}}{55}+\frac{2\,x^4\,\sqrt{x^3-1}}{11}-\frac{32\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{55\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(16*x*(x^3 - 1)^(1/2))/55 + (2*x^4*(x^3 - 1)^(1/2))/11 - (32*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(55*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
483,1,167,137,0.044833,"\text{Not used}","int(x^3/(x^3 - 1)^(1/2),x)","\frac{2\,x\,\sqrt{x^3-1}}{5}-\frac{4\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{5\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*x*(x^3 - 1)^(1/2))/5 - (4*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(5*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
484,1,156,120,0.035595,"\text{Not used}","int(1/(x^3 - 1)^(1/2),x)","-\frac{\left(3+\sqrt{3}\,1{}\mathrm{i}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-((3^(1/2)*1i + 3)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
485,1,169,139,0.054745,"\text{Not used}","int(1/(x^3*(x^3 - 1)^(1/2)),x)","\frac{\sqrt{x^3-1}}{2\,x^2}-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(x^3 - 1)^(1/2)/(2*x^2) - (((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(2*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
486,1,181,155,0.987453,"\text{Not used}","int(1/(x^6*(x^3 - 1)^(1/2)),x)","\frac{7\,\sqrt{x^3-1}}{20\,x^2}+\frac{\sqrt{x^3-1}}{5\,x^5}-\frac{7\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{20\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(7*(x^3 - 1)^(1/2))/(20*x^2) + (x^3 - 1)^(1/2)/(5*x^5) - (7*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(20*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
487,1,240,294,0.971588,"\text{Not used}","int(x^7/(x^3 - 1)^(1/2),x)","\frac{20\,x^2\,\sqrt{x^3-1}}{91}+\frac{2\,x^5\,\sqrt{x^3-1}}{13}-\frac{80\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{91\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(20*x^2*(x^3 - 1)^(1/2))/91 + (2*x^5*(x^3 - 1)^(1/2))/13 - (80*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(91*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
488,1,228,278,0.971696,"\text{Not used}","int(x^4/(x^3 - 1)^(1/2),x)","\frac{2\,x^2\,\sqrt{x^3-1}}{7}-\frac{8\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{7\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*x^2*(x^3 - 1)^(1/2))/7 - (8*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(7*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
489,1,215,255,0.044747,"\text{Not used}","int(x/(x^3 - 1)^(1/2),x)","-\frac{2\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-(2*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
490,1,226,269,1.001211,"\text{Not used}","int(1/(x^2*(x^3 - 1)^(1/2)),x)","\frac{\sqrt{x^3-1}}{x}+\frac{\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(x^3 - 1)^(1/2)/x + ((((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2)","B"
491,1,240,294,1.000147,"\text{Not used}","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(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{-\frac{x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{-\frac{x-1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{8\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(5*(x^3 - 1)^(1/2))/(8*x) + (x^3 - 1)^(1/2)/(4*x^4) + (5*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin((-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(-(x - (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + (3^(1/2)*1i)/2 + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(-(x - 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(8*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) + x^3)^(1/2))","B"
492,1,54,61,0.031742,"\text{Not used}","int(x^11/(- x^3 - 1)^(1/2),x)","\frac{4\,x^6\,\sqrt{-x^3-1}}{35}-\frac{16\,x^3\,\sqrt{-x^3-1}}{105}-\frac{2\,x^9\,\sqrt{-x^3-1}}{21}+\frac{32\,\sqrt{-x^3-1}}{105}","Not used",1,"(4*x^6*(- x^3 - 1)^(1/2))/35 - (16*x^3*(- x^3 - 1)^(1/2))/105 - (2*x^9*(- x^3 - 1)^(1/2))/21 + (32*(- x^3 - 1)^(1/2))/105","B"
493,1,23,46,0.028786,"\text{Not used}","int(x^8/(- x^3 - 1)^(1/2),x)","-\frac{2\,\sqrt{-x^3-1}\,\left(3\,x^6-4\,x^3+8\right)}{45}","Not used",1,"-(2*(- x^3 - 1)^(1/2)*(3*x^6 - 4*x^3 + 8))/45","B"
494,1,16,31,0.027195,"\text{Not used}","int(x^5/(- x^3 - 1)^(1/2),x)","-\frac{2\,\sqrt{-x^3-1}\,\left(x^3-2\right)}{9}","Not used",1,"-(2*(- x^3 - 1)^(1/2)*(x^3 - 2))/9","B"
495,1,11,15,0.021539,"\text{Not used}","int(x^2/(- x^3 - 1)^(1/2),x)","-\frac{2\,\sqrt{-x^3-1}}{3}","Not used",1,"-(2*(- x^3 - 1)^(1/2))/3","B"
496,1,180,16,0.031332,"\text{Not used}","int(1/(x*(- x^3 - 1)^(1/2)),x)","-\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-(2*((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/((- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
497,1,194,35,0.979754,"\text{Not used}","int(1/(x^4*(- x^3 - 1)^(1/2)),x)","\frac{\sqrt{-x^3-1}}{3\,x^3}+\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(- x^3 - 1)^(1/2)/(3*x^3) + (((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/((- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
498,1,209,53,0.038170,"\text{Not used}","int(1/(x^7*(- x^3 - 1)^(1/2)),x)","\frac{\sqrt{-x^3-1}}{6\,x^6}-\frac{\sqrt{-x^3-1}}{4\,x^3}-\frac{3\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{4\,\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(- x^3 - 1)^(1/2)/(6*x^6) - (- x^3 - 1)^(1/2)/(4*x^3) - (3*((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(4*(- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
499,1,223,71,0.030043,"\text{Not used}","int(1/(x^10*(- x^3 - 1)^(1/2)),x)","\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}+\frac{5\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\Pi \left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2};\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{8\,\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(5*(- x^3 - 1)^(1/2))/(24*x^3) - (5*(- x^3 - 1)^(1/2))/(36*x^6) + (- x^3 - 1)^(1/2)/(9*x^9) + (5*((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticPi((3^(1/2)*1i)/2 + 3/2, asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(8*(- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
500,1,199,149,0.040072,"\text{Not used}","int(x^6/(- x^3 - 1)^(1/2),x)","\frac{16\,x\,\sqrt{-x^3-1}}{55}-\frac{2\,x^4\,\sqrt{-x^3-1}}{11}+\frac{32\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{55\,\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(16*x*(- x^3 - 1)^(1/2))/55 - (2*x^4*(- x^3 - 1)^(1/2))/11 + (32*((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(55*(- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
501,1,185,131,0.048817,"\text{Not used}","int(x^3/(- x^3 - 1)^(1/2),x)","-\frac{2\,x\,\sqrt{-x^3-1}}{5}-\frac{4\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{5\,\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"- (2*x*(- x^3 - 1)^(1/2))/5 - (4*((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(5*(- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
502,1,172,112,0.029676,"\text{Not used}","int(1/(- x^3 - 1)^(1/2),x)","\frac{2\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(2*((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/((- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
503,1,187,133,0.993009,"\text{Not used}","int(1/(x^3*(- x^3 - 1)^(1/2)),x)","\frac{\sqrt{-x^3-1}}{2\,x^2}-\frac{\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{2\,\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(- x^3 - 1)^(1/2)/(2*x^2) - (((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(2*(- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
504,1,201,151,0.040106,"\text{Not used}","int(1/(x^6*(- x^3 - 1)^(1/2)),x)","\frac{\sqrt{-x^3-1}}{5\,x^5}-\frac{7\,\sqrt{-x^3-1}}{20\,x^2}+\frac{7\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)}{20\,\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(- x^3 - 1)^(1/2)/(5*x^5) - (7*(- x^3 - 1)^(1/2))/(20*x^2) + (7*((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))/(20*(- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
505,1,259,282,0.044297,"\text{Not used}","int(x^7/(- x^3 - 1)^(1/2),x)","\frac{20\,x^2\,\sqrt{-x^3-1}}{91}-\frac{2\,x^5\,\sqrt{-x^3-1}}{13}-\frac{80\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{91\,\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(20*x^2*(- x^3 - 1)^(1/2))/91 - (2*x^5*(- x^3 - 1)^(1/2))/13 - (80*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(91*(- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
506,1,245,264,0.057968,"\text{Not used}","int(x^4/(- x^3 - 1)^(1/2),x)","-\frac{2\,x^2\,\sqrt{-x^3-1}}{7}+\frac{8\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{7\,\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(8*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(7*(- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2)) - (2*x^2*(- x^3 - 1)^(1/2))/7","B"
507,1,230,239,0.038089,"\text{Not used}","int(x/(- x^3 - 1)^(1/2),x)","-\frac{2\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-(2*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/((- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
508,1,244,257,1.028566,"\text{Not used}","int(1/(x^2*(- x^3 - 1)^(1/2)),x)","\frac{\sqrt{-x^3-1}}{x}-\frac{\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(- x^3 - 1)^(1/2)/x - ((((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/((- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
509,1,259,282,0.047296,"\text{Not used}","int(1/(x^5*(- x^3 - 1)^(1/2)),x)","\frac{\sqrt{-x^3-1}}{4\,x^4}-\frac{5\,\sqrt{-x^3-1}}{8\,x}+\frac{5\,\left(\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{F}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)-\left(-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\mathrm{E}\left(\mathrm{asin}\left(\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\right)\middle|-\frac{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\right)\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\sqrt{x^3+1}\,\sqrt{\frac{x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{-\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{x+1}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}\,\sqrt{\frac{\frac{1}{2}-x+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}{\frac{3}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}}{8\,\sqrt{-x^3-1}\,\sqrt{x^3+\left(-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-1\right)\,x-\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"(- x^3 - 1)^(1/2)/(4*x^4) - (5*(- x^3 - 1)^(1/2))/(8*x) + (5*(((3^(1/2)*1i)/2 - 1/2)*ellipticF(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)) - ((3^(1/2)*1i)/2 - 3/2)*ellipticE(asin(((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)), -((3^(1/2)*1i)/2 + 3/2)/((3^(1/2)*1i)/2 - 3/2)))*((3^(1/2)*1i)/2 + 3/2)*(x^3 + 1)^(1/2)*((x + (3^(1/2)*1i)/2 - 1/2)/((3^(1/2)*1i)/2 - 3/2))^(1/2)*((x + 1)/((3^(1/2)*1i)/2 + 3/2))^(1/2)*(((3^(1/2)*1i)/2 - x + 1/2)/((3^(1/2)*1i)/2 + 3/2))^(1/2))/(8*(- x^3 - 1)^(1/2)*(x^3 - x*(((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2) + 1) - ((3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/2 + 1/2))^(1/2))","B"
510,1,55,80,1.106358,"\text{Not used}","int(x^11*(a + b*x^3)^(1/3),x)","{\left(b\,x^3+a\right)}^{1/3}\,\left(\frac{x^{12}}{13}-\frac{81\,a^4}{1820\,b^4}+\frac{a\,x^9}{130\,b}+\frac{27\,a^3\,x^3}{1820\,b^3}-\frac{9\,a^2\,x^6}{910\,b^2}\right)","Not used",1,"(a + b*x^3)^(1/3)*(x^12/13 - (81*a^4)/(1820*b^4) + (a*x^9)/(130*b) + (27*a^3*x^3)/(1820*b^3) - (9*a^2*x^6)/(910*b^2))","B"
511,1,44,59,1.050429,"\text{Not used}","int(x^8*(a + b*x^3)^(1/3),x)","{\left(b\,x^3+a\right)}^{1/3}\,\left(\frac{x^9}{10}+\frac{9\,a^3}{140\,b^3}+\frac{a\,x^6}{70\,b}-\frac{3\,a^2\,x^3}{140\,b^2}\right)","Not used",1,"(a + b*x^3)^(1/3)*(x^9/10 + (9*a^3)/(140*b^3) + (a*x^6)/(70*b) - (3*a^2*x^3)/(140*b^2))","B"
512,1,33,38,1.031531,"\text{Not used}","int(x^5*(a + b*x^3)^(1/3),x)","{\left(b\,x^3+a\right)}^{1/3}\,\left(\frac{x^6}{7}-\frac{3\,a^2}{28\,b^2}+\frac{a\,x^3}{28\,b}\right)","Not used",1,"(a + b*x^3)^(1/3)*(x^6/7 - (3*a^2)/(28*b^2) + (a*x^3)/(28*b))","B"
513,1,14,18,1.033660,"\text{Not used}","int(x^2*(a + b*x^3)^(1/3),x)","\frac{{\left(b\,x^3+a\right)}^{4/3}}{4\,b}","Not used",1,"(a + b*x^3)^(4/3)/(4*b)","B"
514,1,112,95,1.077657,"\text{Not used}","int((a + b*x^3)^(1/3)/x,x)","\frac{a^{1/3}\,\ln\left(a\,{\left(b\,x^3+a\right)}^{1/3}-a^{4/3}\right)}{3}+{\left(b\,x^3+a\right)}^{1/3}-\frac{a^{1/3}\,\ln\left(3\,a^{4/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)+3\,a\,{\left(b\,x^3+a\right)}^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3}+a^{1/3}\,\ln\left(3\,a\,{\left(b\,x^3+a\right)}^{1/3}-9\,a^{4/3}\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"(a^(1/3)*log(a*(a + b*x^3)^(1/3) - a^(4/3)))/3 + (a + b*x^3)^(1/3) - (a^(1/3)*log(3*a^(4/3)*((3^(1/2)*1i)/2 + 1/2) + 3*a*(a + b*x^3)^(1/3))*((3^(1/2)*1i)/2 + 1/2))/3 + a^(1/3)*log(3*a*(a + b*x^3)^(1/3) - 9*a^(4/3)*((3^(1/2)*1i)/6 - 1/6))*((3^(1/2)*1i)/6 - 1/6)","B"
515,1,122,107,1.208835,"\text{Not used}","int((a + b*x^3)^(1/3)/x^4,x)","\frac{b\,\ln\left(b\,{\left(b\,x^3+a\right)}^{1/3}-a^{1/3}\,b\right)}{9\,a^{2/3}}-\frac{{\left(b\,x^3+a\right)}^{1/3}}{3\,x^3}-\frac{\ln\left(\frac{a^{1/3}\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{2}+b\,{\left(b\,x^3+a\right)}^{1/3}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{18\,a^{2/3}}-\frac{\ln\left(\frac{a^{1/3}\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{2}+b\,{\left(b\,x^3+a\right)}^{1/3}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{18\,a^{2/3}}","Not used",1,"(b*log(b*(a + b*x^3)^(1/3) - a^(1/3)*b))/(9*a^(2/3)) - (a + b*x^3)^(1/3)/(3*x^3) - (log((a^(1/3)*(b - 3^(1/2)*b*1i))/2 + b*(a + b*x^3)^(1/3))*(b - 3^(1/2)*b*1i))/(18*a^(2/3)) - (log((a^(1/3)*(b + 3^(1/2)*b*1i))/2 + b*(a + b*x^3)^(1/3))*(b + 3^(1/2)*b*1i))/(18*a^(2/3))","B"
516,0,-1,120,0.000000,"\text{Not used}","int(x^4*(a + b*x^3)^(1/3),x)","\int x^4\,{\left(b\,x^3+a\right)}^{1/3} \,d x","Not used",1,"int(x^4*(a + b*x^3)^(1/3), x)","F"
517,0,-1,94,0.000000,"\text{Not used}","int(x*(a + b*x^3)^(1/3),x)","\int x\,{\left(b\,x^3+a\right)}^{1/3} \,d x","Not used",1,"int(x*(a + b*x^3)^(1/3), x)","F"
518,1,40,88,1.210231,"\text{Not used}","int((a + b*x^3)^(1/3)/x^2,x)","-\frac{{\left(b\,x^3+a\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},-\frac{1}{3};\ \frac{2}{3};\ -\frac{b\,x^3}{a}\right)}{x\,{\left(\frac{b\,x^3}{a}+1\right)}^{1/3}}","Not used",1,"-((a + b*x^3)^(1/3)*hypergeom([-1/3, -1/3], 2/3, -(b*x^3)/a))/(x*((b*x^3)/a + 1)^(1/3))","B"
519,1,17,21,1.105547,"\text{Not used}","int((a + b*x^3)^(1/3)/x^5,x)","-\frac{{\left(b\,x^3+a\right)}^{4/3}}{4\,a\,x^4}","Not used",1,"-(a + b*x^3)^(4/3)/(4*a*x^4)","B"
520,1,32,44,1.233211,"\text{Not used}","int((a + b*x^3)^(1/3)/x^8,x)","-\frac{7\,a\,{\left(b\,x^3+a\right)}^{4/3}-3\,{\left(b\,x^3+a\right)}^{7/3}}{28\,a^2\,x^7}","Not used",1,"-(7*a*(a + b*x^3)^(4/3) - 3*(a + b*x^3)^(7/3))/(28*a^2*x^7)","B"
521,1,73,68,1.351595,"\text{Not used}","int((a + b*x^3)^(1/3)/x^11,x)","\frac{3\,b^2\,{\left(b\,x^3+a\right)}^{1/3}}{140\,a^2\,x^4}-\frac{b\,{\left(b\,x^3+a\right)}^{1/3}}{70\,a\,x^7}-\frac{9\,b^3\,{\left(b\,x^3+a\right)}^{1/3}}{140\,a^3\,x}-\frac{{\left(b\,x^3+a\right)}^{1/3}}{10\,x^{10}}","Not used",1,"(3*b^2*(a + b*x^3)^(1/3))/(140*a^2*x^4) - (b*(a + b*x^3)^(1/3))/(70*a*x^7) - (9*b^3*(a + b*x^3)^(1/3))/(140*a^3*x) - (a + b*x^3)^(1/3)/(10*x^10)","B"
522,1,93,92,1.501750,"\text{Not used}","int((a + b*x^3)^(1/3)/x^14,x)","\frac{81\,b^4\,{\left(b\,x^3+a\right)}^{1/3}}{1820\,a^4\,x}-\frac{b\,{\left(b\,x^3+a\right)}^{1/3}}{130\,a\,x^{10}}-\frac{{\left(b\,x^3+a\right)}^{1/3}}{13\,x^{13}}-\frac{27\,b^3\,{\left(b\,x^3+a\right)}^{1/3}}{1820\,a^3\,x^4}+\frac{9\,b^2\,{\left(b\,x^3+a\right)}^{1/3}}{910\,a^2\,x^7}","Not used",1,"(81*b^4*(a + b*x^3)^(1/3))/(1820*a^4*x) - (b*(a + b*x^3)^(1/3))/(130*a*x^10) - (a + b*x^3)^(1/3)/(13*x^13) - (27*b^3*(a + b*x^3)^(1/3))/(1820*a^3*x^4) + (9*b^2*(a + b*x^3)^(1/3))/(910*a^2*x^7)","B"
523,0,-1,38,0.000000,"\text{Not used}","int(x^3*(a + b*x^3)^(1/3),x)","\int x^3\,{\left(b\,x^3+a\right)}^{1/3} \,d x","Not used",1,"int(x^3*(a + b*x^3)^(1/3), x)","F"
524,1,37,33,1.006641,"\text{Not used}","int((a + b*x^3)^(1/3),x)","\frac{x\,{\left(b\,x^3+a\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ -\frac{b\,x^3}{a}\right)}{{\left(\frac{b\,x^3}{a}+1\right)}^{1/3}}","Not used",1,"(x*(a + b*x^3)^(1/3)*hypergeom([-1/3, 1/3], 4/3, -(b*x^3)/a))/((b*x^3)/a + 1)^(1/3)","B"
525,0,-1,38,0.000000,"\text{Not used}","int((a + b*x^3)^(1/3)/x^3,x)","\int \frac{{\left(b\,x^3+a\right)}^{1/3}}{x^3} \,d x","Not used",1,"int((a + b*x^3)^(1/3)/x^3, x)","F"
526,0,-1,38,0.000000,"\text{Not used}","int((a + b*x^3)^(1/3)/x^6,x)","\int \frac{{\left(b\,x^3+a\right)}^{1/3}}{x^6} \,d x","Not used",1,"int((a + b*x^3)^(1/3)/x^6, x)","F"
527,1,55,80,1.106492,"\text{Not used}","int(x^11*(a + b*x^3)^(2/3),x)","{\left(b\,x^3+a\right)}^{2/3}\,\left(\frac{x^{12}}{14}-\frac{81\,a^4}{3080\,b^4}+\frac{a\,x^9}{77\,b}+\frac{27\,a^3\,x^3}{1540\,b^3}-\frac{9\,a^2\,x^6}{616\,b^2}\right)","Not used",1,"(a + b*x^3)^(2/3)*(x^12/14 - (81*a^4)/(3080*b^4) + (a*x^9)/(77*b) + (27*a^3*x^3)/(1540*b^3) - (9*a^2*x^6)/(616*b^2))","B"
528,1,44,59,1.074761,"\text{Not used}","int(x^8*(a + b*x^3)^(2/3),x)","{\left(b\,x^3+a\right)}^{2/3}\,\left(\frac{x^9}{11}+\frac{9\,a^3}{220\,b^3}+\frac{a\,x^6}{44\,b}-\frac{3\,a^2\,x^3}{110\,b^2}\right)","Not used",1,"(a + b*x^3)^(2/3)*(x^9/11 + (9*a^3)/(220*b^3) + (a*x^6)/(44*b) - (3*a^2*x^3)/(110*b^2))","B"
529,1,33,38,1.108604,"\text{Not used}","int(x^5*(a + b*x^3)^(2/3),x)","{\left(b\,x^3+a\right)}^{2/3}\,\left(\frac{x^6}{8}-\frac{3\,a^2}{40\,b^2}+\frac{a\,x^3}{20\,b}\right)","Not used",1,"(a + b*x^3)^(2/3)*(x^6/8 - (3*a^2)/(40*b^2) + (a*x^3)/(20*b))","B"
530,1,14,18,1.047130,"\text{Not used}","int(x^2*(a + b*x^3)^(2/3),x)","\frac{{\left(b\,x^3+a\right)}^{5/3}}{5\,b}","Not used",1,"(a + b*x^3)^(5/3)/(5*b)","B"
531,1,122,98,1.080093,"\text{Not used}","int((a + b*x^3)^(2/3)/x,x)","\frac{{\left(b\,x^3+a\right)}^{2/3}}{2}+\frac{a^{2/3}\,\ln\left(a^2\,{\left(b\,x^3+a\right)}^{1/3}-a^{7/3}\right)}{3}-\frac{a^{2/3}\,\ln\left(a^2\,{\left(b\,x^3+a\right)}^{1/3}-a^{7/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3}+a^{2/3}\,\ln\left(a^2\,{\left(b\,x^3+a\right)}^{1/3}-9\,a^{7/3}\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"(a + b*x^3)^(2/3)/2 + (a^(2/3)*log(a^2*(a + b*x^3)^(1/3) - a^(7/3)))/3 - (a^(2/3)*log(a^2*(a + b*x^3)^(1/3) - a^(7/3)*((3^(1/2)*1i)/2 + 1/2)^2)*((3^(1/2)*1i)/2 + 1/2))/3 + a^(2/3)*log(a^2*(a + b*x^3)^(1/3) - 9*a^(7/3)*((3^(1/2)*1i)/6 - 1/6)^2)*((3^(1/2)*1i)/6 - 1/6)","B"
532,1,137,107,1.188628,"\text{Not used}","int((a + b*x^3)^(2/3)/x^4,x)","\frac{2\,b\,\ln\left(\frac{4\,a^{1/3}\,b^2}{9}-\frac{4\,b^2\,{\left(b\,x^3+a\right)}^{1/3}}{9}\right)}{9\,a^{1/3}}-\frac{{\left(b\,x^3+a\right)}^{2/3}}{3\,x^3}-\frac{\ln\left(\frac{a^{1/3}\,{\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2}{9}-\frac{4\,b^2\,{\left(b\,x^3+a\right)}^{1/3}}{9}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{9\,a^{1/3}}-\frac{\ln\left(\frac{a^{1/3}\,{\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2}{9}-\frac{4\,b^2\,{\left(b\,x^3+a\right)}^{1/3}}{9}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{9\,a^{1/3}}","Not used",1,"(2*b*log((4*a^(1/3)*b^2)/9 - (4*b^2*(a + b*x^3)^(1/3))/9))/(9*a^(1/3)) - (a + b*x^3)^(2/3)/(3*x^3) - (log((a^(1/3)*(b - 3^(1/2)*b*1i)^2)/9 - (4*b^2*(a + b*x^3)^(1/3))/9)*(b - 3^(1/2)*b*1i))/(9*a^(1/3)) - (log((a^(1/3)*(b + 3^(1/2)*b*1i)^2)/9 - (4*b^2*(a + b*x^3)^(1/3))/9)*(b + 3^(1/2)*b*1i))/(9*a^(1/3))","B"
533,0,-1,38,0.000000,"\text{Not used}","int(x^4*(a + b*x^3)^(2/3),x)","\int x^4\,{\left(b\,x^3+a\right)}^{2/3} \,d x","Not used",1,"int(x^4*(a + b*x^3)^(2/3), x)","F"
534,0,-1,38,0.000000,"\text{Not used}","int(x*(a + b*x^3)^(2/3),x)","\int x\,{\left(b\,x^3+a\right)}^{2/3} \,d x","Not used",1,"int(x*(a + b*x^3)^(2/3), x)","F"
535,1,39,36,1.257633,"\text{Not used}","int((a + b*x^3)^(2/3)/x^2,x)","\frac{{\left(b\,x^3+a\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},-\frac{1}{3};\ \frac{2}{3};\ -\frac{a}{b\,x^3}\right)}{x\,{\left(\frac{a}{b\,x^3}+1\right)}^{2/3}}","Not used",1,"((a + b*x^3)^(2/3)*hypergeom([-2/3, -1/3], 2/3, -a/(b*x^3)))/(x*(a/(b*x^3) + 1)^(2/3))","B"
536,0,-1,38,0.000000,"\text{Not used}","int((a + b*x^3)^(2/3)/x^5,x)","\int \frac{{\left(b\,x^3+a\right)}^{2/3}}{x^5} \,d x","Not used",1,"int((a + b*x^3)^(2/3)/x^5, x)","F"
537,0,-1,117,0.000000,"\text{Not used}","int(x^3*(a + b*x^3)^(2/3),x)","\int x^3\,{\left(b\,x^3+a\right)}^{2/3} \,d x","Not used",1,"int(x^3*(a + b*x^3)^(2/3), x)","F"
538,1,37,91,1.015986,"\text{Not used}","int((a + b*x^3)^(2/3),x)","\frac{x\,{\left(b\,x^3+a\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},\frac{1}{3};\ \frac{4}{3};\ -\frac{b\,x^3}{a}\right)}{{\left(\frac{b\,x^3}{a}+1\right)}^{2/3}}","Not used",1,"(x*(a + b*x^3)^(2/3)*hypergeom([-2/3, 1/3], 4/3, -(b*x^3)/a))/((b*x^3)/a + 1)^(2/3)","B"
539,0,-1,88,0.000000,"\text{Not used}","int((a + b*x^3)^(2/3)/x^3,x)","\int \frac{{\left(b\,x^3+a\right)}^{2/3}}{x^3} \,d x","Not used",1,"int((a + b*x^3)^(2/3)/x^3, x)","F"
540,1,17,21,1.115214,"\text{Not used}","int((a + b*x^3)^(2/3)/x^6,x)","-\frac{{\left(b\,x^3+a\right)}^{5/3}}{5\,a\,x^5}","Not used",1,"-(a + b*x^3)^(5/3)/(5*a*x^5)","B"
541,1,38,44,1.207992,"\text{Not used}","int((a + b*x^3)^(2/3)/x^9,x)","-\frac{{\left(b\,x^3+a\right)}^{2/3}\,\left(5\,a^2+2\,a\,b\,x^3-3\,b^2\,x^6\right)}{40\,a^2\,x^8}","Not used",1,"-((a + b*x^3)^(2/3)*(5*a^2 - 3*b^2*x^6 + 2*a*b*x^3))/(40*a^2*x^8)","B"
542,1,73,68,1.346060,"\text{Not used}","int((a + b*x^3)^(2/3)/x^12,x)","\frac{3\,b^2\,{\left(b\,x^3+a\right)}^{2/3}}{110\,a^2\,x^5}-\frac{b\,{\left(b\,x^3+a\right)}^{2/3}}{44\,a\,x^8}-\frac{9\,b^3\,{\left(b\,x^3+a\right)}^{2/3}}{220\,a^3\,x^2}-\frac{{\left(b\,x^3+a\right)}^{2/3}}{11\,x^{11}}","Not used",1,"(3*b^2*(a + b*x^3)^(2/3))/(110*a^2*x^5) - (b*(a + b*x^3)^(2/3))/(44*a*x^8) - (9*b^3*(a + b*x^3)^(2/3))/(220*a^3*x^2) - (a + b*x^3)^(2/3)/(11*x^11)","B"
543,1,33,46,1.084788,"\text{Not used}","int(x^8*(1 - x^3)^(6/5),x)","-{\left(1-x^3\right)}^{1/5}\,\left(\frac{5\,x^{12}}{63}-\frac{55\,x^9}{504}+\frac{5\,x^6}{1848}+\frac{25\,x^3}{5544}+\frac{125}{5544}\right)","Not used",1,"-(1 - x^3)^(1/5)*((25*x^3)/5544 + (5*x^6)/1848 - (55*x^9)/504 + (5*x^12)/63 + 125/5544)","B"
544,1,48,80,1.111657,"\text{Not used}","int(x^11/(a + b*x^3)^(1/3),x)","-{\left(b\,x^3+a\right)}^{2/3}\,\left(\frac{81\,a^3}{440\,b^4}-\frac{x^9}{11\,b}+\frac{9\,a\,x^6}{88\,b^2}-\frac{27\,a^2\,x^3}{220\,b^3}\right)","Not used",1,"-(a + b*x^3)^(2/3)*((81*a^3)/(440*b^4) - x^9/(11*b) + (9*a*x^6)/(88*b^2) - (27*a^2*x^3)/(220*b^3))","B"
545,1,36,59,1.079038,"\text{Not used}","int(x^8/(a + b*x^3)^(1/3),x)","{\left(b\,x^3+a\right)}^{2/3}\,\left(\frac{9\,a^2}{40\,b^3}+\frac{x^6}{8\,b}-\frac{3\,a\,x^3}{20\,b^2}\right)","Not used",1,"(a + b*x^3)^(2/3)*((9*a^2)/(40*b^3) + x^6/(8*b) - (3*a*x^3)/(20*b^2))","B"
546,1,24,38,1.066971,"\text{Not used}","int(x^5/(a + b*x^3)^(1/3),x)","-\frac{{\left(b\,x^3+a\right)}^{2/3}\,\left(3\,a-2\,b\,x^3\right)}{10\,b^2}","Not used",1,"-((a + b*x^3)^(2/3)*(3*a - 2*b*x^3))/(10*b^2)","B"
547,1,14,18,1.079020,"\text{Not used}","int(x^2/(a + b*x^3)^(1/3),x)","\frac{{\left(b\,x^3+a\right)}^{2/3}}{2\,b}","Not used",1,"(a + b*x^3)^(2/3)/(2*b)","B"
548,1,100,83,1.202004,"\text{Not used}","int(1/(x*(a + b*x^3)^(1/3)),x)","\frac{\ln\left({\left(b\,x^3+a\right)}^{1/3}-a^{1/3}\right)}{3\,a^{1/3}}+\frac{\ln\left({\left(b\,x^3+a\right)}^{1/3}-\frac{a^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{1/3}}-\frac{\ln\left({\left(b\,x^3+a\right)}^{1/3}-\frac{a^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{1/3}}","Not used",1,"log((a + b*x^3)^(1/3) - a^(1/3))/(3*a^(1/3)) + (log((a + b*x^3)^(1/3) - (a^(1/3)*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(6*a^(1/3)) - (log((a + b*x^3)^(1/3) - (a^(1/3)*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(6*a^(1/3))","B"
549,1,138,110,1.335379,"\text{Not used}","int(1/(x^4*(a + b*x^3)^(1/3)),x)","-\frac{b\,\ln\left({\left(b\,x^3+a\right)}^{1/3}-a^{1/3}\right)}{9\,a^{4/3}}-\frac{{\left(b\,x^3+a\right)}^{2/3}}{3\,a\,x^3}+\frac{\ln\left(\frac{{\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2}{36\,a^{5/3}}-\frac{b^2\,{\left(b\,x^3+a\right)}^{1/3}}{9\,a^2}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{18\,a^{4/3}}+\frac{\ln\left(\frac{{\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}^2}{36\,a^{5/3}}-\frac{b^2\,{\left(b\,x^3+a\right)}^{1/3}}{9\,a^2}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{18\,a^{4/3}}","Not used",1,"(log((b - 3^(1/2)*b*1i)^2/(36*a^(5/3)) - (b^2*(a + b*x^3)^(1/3))/(9*a^2))*(b - 3^(1/2)*b*1i))/(18*a^(4/3)) - (a + b*x^3)^(2/3)/(3*a*x^3) - (b*log((a + b*x^3)^(1/3) - a^(1/3)))/(9*a^(4/3)) + (log((b + 3^(1/2)*b*1i)^2/(36*a^(5/3)) - (b^2*(a + b*x^3)^(1/3))/(9*a^2))*(b + 3^(1/2)*b*1i))/(18*a^(4/3))","B"
550,0,-1,38,0.000000,"\text{Not used}","int(x^7/(a + b*x^3)^(1/3),x)","\int \frac{x^7}{{\left(b\,x^3+a\right)}^{1/3}} \,d x","Not used",1,"int(x^7/(a + b*x^3)^(1/3), x)","F"
551,0,-1,38,0.000000,"\text{Not used}","int(x^4/(a + b*x^3)^(1/3),x)","\int \frac{x^4}{{\left(b\,x^3+a\right)}^{1/3}} \,d x","Not used",1,"int(x^4/(a + b*x^3)^(1/3), x)","F"
552,0,-1,38,0.000000,"\text{Not used}","int(x/(a + b*x^3)^(1/3),x)","\int \frac{x}{{\left(b\,x^3+a\right)}^{1/3}} \,d x","Not used",1,"int(x/(a + b*x^3)^(1/3), x)","F"
553,1,40,36,1.219855,"\text{Not used}","int(1/(x^2*(a + b*x^3)^(1/3)),x)","-\frac{{\left(\frac{a}{b\,x^3}+1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{2}{3};\ \frac{5}{3};\ -\frac{a}{b\,x^3}\right)}{2\,x\,{\left(b\,x^3+a\right)}^{1/3}}","Not used",1,"-((a/(b*x^3) + 1)^(1/3)*hypergeom([1/3, 2/3], 5/3, -a/(b*x^3)))/(2*x*(a + b*x^3)^(1/3))","B"
554,0,-1,38,0.000000,"\text{Not used}","int(1/(x^5*(a + b*x^3)^(1/3)),x)","\int \frac{1}{x^5\,{\left(b\,x^3+a\right)}^{1/3}} \,d x","Not used",1,"int(1/(x^5*(a + b*x^3)^(1/3)), x)","F"
555,0,-1,94,0.000000,"\text{Not used}","int(x^3/(a + b*x^3)^(1/3),x)","\int \frac{x^3}{{\left(b\,x^3+a\right)}^{1/3}} \,d x","Not used",1,"int(x^3/(a + b*x^3)^(1/3), x)","F"
556,1,37,70,1.030834,"\text{Not used}","int(1/(a + b*x^3)^(1/3),x)","\frac{x\,{\left(\frac{b\,x^3}{a}+1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ -\frac{b\,x^3}{a}\right)}{{\left(b\,x^3+a\right)}^{1/3}}","Not used",1,"(x*((b*x^3)/a + 1)^(1/3)*hypergeom([1/3, 1/3], 4/3, -(b*x^3)/a))/(a + b*x^3)^(1/3)","B"
557,1,17,21,1.028121,"\text{Not used}","int(1/(x^3*(a + b*x^3)^(1/3)),x)","-\frac{{\left(b\,x^3+a\right)}^{2/3}}{2\,a\,x^2}","Not used",1,"-(a + b*x^3)^(2/3)/(2*a*x^2)","B"
558,1,27,44,1.082696,"\text{Not used}","int(1/(x^6*(a + b*x^3)^(1/3)),x)","-\frac{{\left(b\,x^3+a\right)}^{2/3}\,\left(2\,a-3\,b\,x^3\right)}{10\,a^2\,x^5}","Not used",1,"-((a + b*x^3)^(2/3)*(2*a - 3*b*x^3))/(10*a^2*x^5)","B"
559,1,38,68,1.136745,"\text{Not used}","int(1/(x^9*(a + b*x^3)^(1/3)),x)","-\frac{{\left(b\,x^3+a\right)}^{2/3}\,\left(5\,a^2-6\,a\,b\,x^3+9\,b^2\,x^6\right)}{40\,a^3\,x^8}","Not used",1,"-((a + b*x^3)^(2/3)*(5*a^2 + 9*b^2*x^6 - 6*a*b*x^3))/(40*a^3*x^8)","B"
560,1,76,92,1.203013,"\text{Not used}","int(1/(x^12*(a + b*x^3)^(1/3)),x)","\frac{9\,b\,{\left(b\,x^3+a\right)}^{2/3}}{88\,a^2\,x^8}-\frac{{\left(b\,x^3+a\right)}^{2/3}}{11\,a\,x^{11}}+\frac{81\,b^3\,{\left(b\,x^3+a\right)}^{2/3}}{440\,a^4\,x^2}-\frac{27\,b^2\,{\left(b\,x^3+a\right)}^{2/3}}{220\,a^3\,x^5}","Not used",1,"(9*b*(a + b*x^3)^(2/3))/(88*a^2*x^8) - (a + b*x^3)^(2/3)/(11*a*x^11) + (81*b^3*(a + b*x^3)^(2/3))/(440*a^4*x^2) - (27*b^2*(a + b*x^3)^(2/3))/(220*a^3*x^5)","B"
561,1,48,78,1.099748,"\text{Not used}","int(x^11/(a + b*x^3)^(2/3),x)","-{\left(b\,x^3+a\right)}^{1/3}\,\left(\frac{81\,a^3}{140\,b^4}-\frac{x^9}{10\,b}+\frac{9\,a\,x^6}{70\,b^2}-\frac{27\,a^2\,x^3}{140\,b^3}\right)","Not used",1,"-(a + b*x^3)^(1/3)*((81*a^3)/(140*b^4) - x^9/(10*b) + (9*a*x^6)/(70*b^2) - (27*a^2*x^3)/(140*b^3))","B"
562,1,36,56,1.076656,"\text{Not used}","int(x^8/(a + b*x^3)^(2/3),x)","{\left(b\,x^3+a\right)}^{1/3}\,\left(\frac{9\,a^2}{14\,b^3}+\frac{x^6}{7\,b}-\frac{3\,a\,x^3}{14\,b^2}\right)","Not used",1,"(a + b*x^3)^(1/3)*((9*a^2)/(14*b^3) + x^6/(7*b) - (3*a*x^3)/(14*b^2))","B"
563,1,24,36,1.070515,"\text{Not used}","int(x^5/(a + b*x^3)^(2/3),x)","-\frac{{\left(b\,x^3+a\right)}^{1/3}\,\left(3\,a-b\,x^3\right)}{4\,b^2}","Not used",1,"-((a + b*x^3)^(1/3)*(3*a - b*x^3))/(4*b^2)","B"
564,1,13,15,1.054991,"\text{Not used}","int(x^2/(a + b*x^3)^(2/3),x)","\frac{{\left(b\,x^3+a\right)}^{1/3}}{b}","Not used",1,"(a + b*x^3)^(1/3)/b","B"
565,1,102,84,1.234835,"\text{Not used}","int(1/(x*(a + b*x^3)^(2/3)),x)","\frac{\ln\left(3\,{\left(b\,x^3+a\right)}^{1/3}-3\,a^{1/3}\right)}{3\,a^{2/3}}+\frac{\ln\left(\frac{3\,a^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}-3\,{\left(b\,x^3+a\right)}^{1/3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}}-\frac{\ln\left(\frac{3\,a^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}+3\,{\left(b\,x^3+a\right)}^{1/3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}}","Not used",1,"log(3*(a + b*x^3)^(1/3) - 3*a^(1/3))/(3*a^(2/3)) + (log((3*a^(1/3)*(3^(1/2)*1i - 1))/2 - 3*(a + b*x^3)^(1/3))*(3^(1/2)*1i - 1))/(6*a^(2/3)) - (log((3*a^(1/3)*(3^(1/2)*1i + 1))/2 + 3*(a + b*x^3)^(1/3))*(3^(1/2)*1i + 1))/(6*a^(2/3))","B"
566,1,128,110,1.319025,"\text{Not used}","int(1/(x^4*(a + b*x^3)^(2/3)),x)","\frac{\ln\left(\frac{b-\sqrt{3}\,b\,1{}\mathrm{i}}{a^{2/3}}+\frac{2\,b\,{\left(b\,x^3+a\right)}^{1/3}}{a}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{9\,a^{5/3}}+\frac{\ln\left(\frac{b+\sqrt{3}\,b\,1{}\mathrm{i}}{a^{2/3}}+\frac{2\,b\,{\left(b\,x^3+a\right)}^{1/3}}{a}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{9\,a^{5/3}}-\frac{2\,b\,\ln\left({\left(b\,x^3+a\right)}^{1/3}-a^{1/3}\right)}{9\,a^{5/3}}-\frac{{\left(b\,x^3+a\right)}^{1/3}}{3\,a\,x^3}","Not used",1,"(log((b - 3^(1/2)*b*1i)/a^(2/3) + (2*b*(a + b*x^3)^(1/3))/a)*(b - 3^(1/2)*b*1i))/(9*a^(5/3)) + (log((b + 3^(1/2)*b*1i)/a^(2/3) + (2*b*(a + b*x^3)^(1/3))/a)*(b + 3^(1/2)*b*1i))/(9*a^(5/3)) - (2*b*log((a + b*x^3)^(1/3) - a^(1/3)))/(9*a^(5/3)) - (a + b*x^3)^(1/3)/(3*a*x^3)","B"
567,0,-1,123,0.000000,"\text{Not used}","int(x^7/(a + b*x^3)^(2/3),x)","\int \frac{x^7}{{\left(b\,x^3+a\right)}^{2/3}} \,d x","Not used",1,"int(x^7/(a + b*x^3)^(2/3), x)","F"
568,0,-1,97,0.000000,"\text{Not used}","int(x^4/(a + b*x^3)^(2/3),x)","\int \frac{x^4}{{\left(b\,x^3+a\right)}^{2/3}} \,d x","Not used",1,"int(x^4/(a + b*x^3)^(2/3), x)","F"
569,0,-1,72,0.000000,"\text{Not used}","int(x/(a + b*x^3)^(2/3),x)","\int \frac{x}{{\left(b\,x^3+a\right)}^{2/3}} \,d x","Not used",1,"int(x/(a + b*x^3)^(2/3), x)","F"
570,1,17,19,1.034600,"\text{Not used}","int(1/(x^2*(a + b*x^3)^(2/3)),x)","-\frac{{\left(b\,x^3+a\right)}^{1/3}}{a\,x}","Not used",1,"-(a + b*x^3)^(1/3)/(a*x)","B"
571,1,25,44,1.080354,"\text{Not used}","int(1/(x^5*(a + b*x^3)^(2/3)),x)","-\frac{{\left(b\,x^3+a\right)}^{1/3}\,\left(a-3\,b\,x^3\right)}{4\,a^2\,x^4}","Not used",1,"-((a + b*x^3)^(1/3)*(a - 3*b*x^3))/(4*a^2*x^4)","B"
572,1,38,68,1.151567,"\text{Not used}","int(1/(x^8*(a + b*x^3)^(2/3)),x)","-\frac{{\left(b\,x^3+a\right)}^{1/3}\,\left(2\,a^2-3\,a\,b\,x^3+9\,b^2\,x^6\right)}{14\,a^3\,x^7}","Not used",1,"-((a + b*x^3)^(1/3)*(2*a^2 + 9*b^2*x^6 - 3*a*b*x^3))/(14*a^3*x^7)","B"
573,1,76,92,1.199014,"\text{Not used}","int(1/(x^11*(a + b*x^3)^(2/3)),x)","\frac{9\,b\,{\left(b\,x^3+a\right)}^{1/3}}{70\,a^2\,x^7}-\frac{{\left(b\,x^3+a\right)}^{1/3}}{10\,a\,x^{10}}+\frac{81\,b^3\,{\left(b\,x^3+a\right)}^{1/3}}{140\,a^4\,x}-\frac{27\,b^2\,{\left(b\,x^3+a\right)}^{1/3}}{140\,a^3\,x^4}","Not used",1,"(9*b*(a + b*x^3)^(1/3))/(70*a^2*x^7) - (a + b*x^3)^(1/3)/(10*a*x^10) + (81*b^3*(a + b*x^3)^(1/3))/(140*a^4*x) - (27*b^2*(a + b*x^3)^(1/3))/(140*a^3*x^4)","B"
574,0,-1,38,0.000000,"\text{Not used}","int(x^6/(a + b*x^3)^(2/3),x)","\int \frac{x^6}{{\left(b\,x^3+a\right)}^{2/3}} \,d x","Not used",1,"int(x^6/(a + b*x^3)^(2/3), x)","F"
575,0,-1,38,0.000000,"\text{Not used}","int(x^3/(a + b*x^3)^(2/3),x)","\int \frac{x^3}{{\left(b\,x^3+a\right)}^{2/3}} \,d x","Not used",1,"int(x^3/(a + b*x^3)^(2/3), x)","F"
576,1,37,33,1.024851,"\text{Not used}","int(1/(a + b*x^3)^(2/3),x)","\frac{x\,{\left(\frac{b\,x^3}{a}+1\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{2}{3};\ \frac{4}{3};\ -\frac{b\,x^3}{a}\right)}{{\left(b\,x^3+a\right)}^{2/3}}","Not used",1,"(x*((b*x^3)/a + 1)^(2/3)*hypergeom([1/3, 2/3], 4/3, -(b*x^3)/a))/(a + b*x^3)^(2/3)","B"
577,0,-1,38,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^3)^(2/3)),x)","\int \frac{1}{x^3\,{\left(b\,x^3+a\right)}^{2/3}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^3)^(2/3)), x)","F"
578,0,-1,38,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^3)^(2/3)),x)","\int \frac{1}{x^6\,{\left(b\,x^3+a\right)}^{2/3}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^3)^(2/3)), x)","F"
579,1,38,72,1.067139,"\text{Not used}","int(1/(a - b*x^3)^(1/3),x)","\frac{x\,{\left(1-\frac{b\,x^3}{a}\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ \frac{b\,x^3}{a}\right)}{{\left(a-b\,x^3\right)}^{1/3}}","Not used",1,"(x*(1 - (b*x^3)/a)^(1/3)*hypergeom([1/3, 1/3], 4/3, (b*x^3)/a))/(a - b*x^3)^(1/3)","B"
580,1,16,46,1.036924,"\text{Not used}","int(1/(x^3 + 2)^(1/3),x)","\frac{2^{2/3}\,x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ -\frac{x^3}{2}\right)}{2}","Not used",1,"(2^(2/3)*x*hypergeom([1/3, 1/3], 4/3, -x^3/2))/2","B"
581,0,-1,53,0.000000,"\text{Not used}","int(x/(1 - x^3)^(2/3),x)","\int \frac{x}{{\left(1-x^3\right)}^{2/3}} \,d x","Not used",1,"int(x/(1 - x^3)^(2/3), x)","F"
582,1,9,13,1.131705,"\text{Not used}","int(x^2/(x^3 + 2)^(1/4),x)","\frac{4\,{\left(x^3+2\right)}^{3/4}}{9}","Not used",1,"(4*(x^3 + 2)^(3/4))/9","B"
583,1,860,151,2.181466,"\text{Not used}","int(x^m*(a + b*x^3)^8,x)","\frac{a^8\,x\,x^m\,\left(m^8+116\,m^7+5698\,m^6+154280\,m^5+2508289\,m^4+24950324\,m^3+147373372\,m^2+468851120\,m+608608000\right)}{m^9+117\,m^8+5814\,m^7+159978\,m^6+2662569\,m^5+27458613\,m^4+172323696\,m^3+616224492\,m^2+1077459120\,m+608608000}+\frac{b^8\,x^m\,x^{25}\,\left(m^8+92\,m^7+3514\,m^6+72128\,m^5+859369\,m^4+5974388\,m^3+22963996\,m^2+42124592\,m+24344320\right)}{m^9+117\,m^8+5814\,m^7+159978\,m^6+2662569\,m^5+27458613\,m^4+172323696\,m^3+616224492\,m^2+1077459120\,m+608608000}+\frac{28\,a^2\,b^6\,x^m\,x^{19}\,\left(m^8+98\,m^7+3952\,m^6+84890\,m^5+1049659\,m^4+7515092\,m^3+29536948\,m^2+55022480\,m+32032000\right)}{m^9+117\,m^8+5814\,m^7+159978\,m^6+2662569\,m^5+27458613\,m^4+172323696\,m^3+616224492\,m^2+1077459120\,m+608608000}+\frac{56\,a^3\,b^5\,x^m\,x^{16}\,\left(m^8+101\,m^7+4198\,m^6+92810\,m^5+1177609\,m^4+8616869\,m^3+34453792\,m^2+64963820\,m+38038000\right)}{m^9+117\,m^8+5814\,m^7+159978\,m^6+2662569\,m^5+27458613\,m^4+172323696\,m^3+616224492\,m^2+1077459120\,m+608608000}+\frac{70\,a^4\,b^4\,x^m\,x^{13}\,\left(m^8+104\,m^7+4462\,m^6+101972\,m^5+1336933\,m^4+10078484\,m^3+41303404\,m^2+79280240\,m+46816000\right)}{m^9+117\,m^8+5814\,m^7+159978\,m^6+2662569\,m^5+27458613\,m^4+172323696\,m^3+616224492\,m^2+1077459120\,m+608608000}+\frac{56\,a^5\,b^3\,x^m\,x^{10}\,\left(m^8+107\,m^7+4744\,m^6+112538\,m^5+1537189\,m^4+12086723\,m^3+51456466\,m^2+101659832\,m+60860800\right)}{m^9+117\,m^8+5814\,m^7+159978\,m^6+2662569\,m^5+27458613\,m^4+172323696\,m^3+616224492\,m^2+1077459120\,m+608608000}+\frac{28\,a^6\,b^2\,x^m\,x^7\,\left(m^8+110\,m^7+5044\,m^6+124670\,m^5+1789879\,m^4+14929460\,m^3+67817476\,m^2+141502160\,m+86944000\right)}{m^9+117\,m^8+5814\,m^7+159978\,m^6+2662569\,m^5+27458613\,m^4+172323696\,m^3+616224492\,m^2+1077459120\,m+608608000}+\frac{8\,a\,b^7\,x^m\,x^{22}\,\left(m^8+95\,m^7+3724\,m^6+78050\,m^5+945469\,m^4+6658295\,m^3+25841206\,m^2+47717960\,m+27664000\right)}{m^9+117\,m^8+5814\,m^7+159978\,m^6+2662569\,m^5+27458613\,m^4+172323696\,m^3+616224492\,m^2+1077459120\,m+608608000}+\frac{8\,a^7\,b\,x^m\,x^4\,\left(m^8+113\,m^7+5362\,m^6+138530\,m^5+2108449\,m^4+19024817\,m^3+96224428\,m^2+231326780\,m+152152000\right)}{m^9+117\,m^8+5814\,m^7+159978\,m^6+2662569\,m^5+27458613\,m^4+172323696\,m^3+616224492\,m^2+1077459120\,m+608608000}","Not used",1,"(a^8*x*x^m*(468851120*m + 147373372*m^2 + 24950324*m^3 + 2508289*m^4 + 154280*m^5 + 5698*m^6 + 116*m^7 + m^8 + 608608000))/(1077459120*m + 616224492*m^2 + 172323696*m^3 + 27458613*m^4 + 2662569*m^5 + 159978*m^6 + 5814*m^7 + 117*m^8 + m^9 + 608608000) + (b^8*x^m*x^25*(42124592*m + 22963996*m^2 + 5974388*m^3 + 859369*m^4 + 72128*m^5 + 3514*m^6 + 92*m^7 + m^8 + 24344320))/(1077459120*m + 616224492*m^2 + 172323696*m^3 + 27458613*m^4 + 2662569*m^5 + 159978*m^6 + 5814*m^7 + 117*m^8 + m^9 + 608608000) + (28*a^2*b^6*x^m*x^19*(55022480*m + 29536948*m^2 + 7515092*m^3 + 1049659*m^4 + 84890*m^5 + 3952*m^6 + 98*m^7 + m^8 + 32032000))/(1077459120*m + 616224492*m^2 + 172323696*m^3 + 27458613*m^4 + 2662569*m^5 + 159978*m^6 + 5814*m^7 + 117*m^8 + m^9 + 608608000) + (56*a^3*b^5*x^m*x^16*(64963820*m + 34453792*m^2 + 8616869*m^3 + 1177609*m^4 + 92810*m^5 + 4198*m^6 + 101*m^7 + m^8 + 38038000))/(1077459120*m + 616224492*m^2 + 172323696*m^3 + 27458613*m^4 + 2662569*m^5 + 159978*m^6 + 5814*m^7 + 117*m^8 + m^9 + 608608000) + (70*a^4*b^4*x^m*x^13*(79280240*m + 41303404*m^2 + 10078484*m^3 + 1336933*m^4 + 101972*m^5 + 4462*m^6 + 104*m^7 + m^8 + 46816000))/(1077459120*m + 616224492*m^2 + 172323696*m^3 + 27458613*m^4 + 2662569*m^5 + 159978*m^6 + 5814*m^7 + 117*m^8 + m^9 + 608608000) + (56*a^5*b^3*x^m*x^10*(101659832*m + 51456466*m^2 + 12086723*m^3 + 1537189*m^4 + 112538*m^5 + 4744*m^6 + 107*m^7 + m^8 + 60860800))/(1077459120*m + 616224492*m^2 + 172323696*m^3 + 27458613*m^4 + 2662569*m^5 + 159978*m^6 + 5814*m^7 + 117*m^8 + m^9 + 608608000) + (28*a^6*b^2*x^m*x^7*(141502160*m + 67817476*m^2 + 14929460*m^3 + 1789879*m^4 + 124670*m^5 + 5044*m^6 + 110*m^7 + m^8 + 86944000))/(1077459120*m + 616224492*m^2 + 172323696*m^3 + 27458613*m^4 + 2662569*m^5 + 159978*m^6 + 5814*m^7 + 117*m^8 + m^9 + 608608000) + (8*a*b^7*x^m*x^22*(47717960*m + 25841206*m^2 + 6658295*m^3 + 945469*m^4 + 78050*m^5 + 3724*m^6 + 95*m^7 + m^8 + 27664000))/(1077459120*m + 616224492*m^2 + 172323696*m^3 + 27458613*m^4 + 2662569*m^5 + 159978*m^6 + 5814*m^7 + 117*m^8 + m^9 + 608608000) + (8*a^7*b*x^m*x^4*(231326780*m + 96224428*m^2 + 19024817*m^3 + 2108449*m^4 + 138530*m^5 + 5362*m^6 + 113*m^7 + m^8 + 152152000))/(1077459120*m + 616224492*m^2 + 172323696*m^3 + 27458613*m^4 + 2662569*m^5 + 159978*m^6 + 5814*m^7 + 117*m^8 + m^9 + 608608000)","B"
584,1,389,97,1.552944,"\text{Not used}","int(x^m*(a + b*x^3)^5,x)","\frac{a^5\,x\,x^m\,\left(m^5+50\,m^4+955\,m^3+8650\,m^2+36824\,m+58240\right)}{m^6+51\,m^5+1005\,m^4+9605\,m^3+45474\,m^2+95064\,m+58240}+\frac{b^5\,x^m\,x^{16}\,\left(m^5+35\,m^4+445\,m^3+2485\,m^2+5714\,m+3640\right)}{m^6+51\,m^5+1005\,m^4+9605\,m^3+45474\,m^2+95064\,m+58240}+\frac{5\,a\,b^4\,x^m\,x^{13}\,\left(m^5+38\,m^4+511\,m^3+2962\,m^2+6968\,m+4480\right)}{m^6+51\,m^5+1005\,m^4+9605\,m^3+45474\,m^2+95064\,m+58240}+\frac{5\,a^4\,b\,x^m\,x^4\,\left(m^5+47\,m^4+817\,m^3+6337\,m^2+20126\,m+14560\right)}{m^6+51\,m^5+1005\,m^4+9605\,m^3+45474\,m^2+95064\,m+58240}+\frac{10\,a^2\,b^3\,x^m\,x^{10}\,\left(m^5+41\,m^4+595\,m^3+3655\,m^2+8924\,m+5824\right)}{m^6+51\,m^5+1005\,m^4+9605\,m^3+45474\,m^2+95064\,m+58240}+\frac{10\,a^3\,b^2\,x^m\,x^7\,\left(m^5+44\,m^4+697\,m^3+4726\,m^2+12392\,m+8320\right)}{m^6+51\,m^5+1005\,m^4+9605\,m^3+45474\,m^2+95064\,m+58240}","Not used",1,"(a^5*x*x^m*(36824*m + 8650*m^2 + 955*m^3 + 50*m^4 + m^5 + 58240))/(95064*m + 45474*m^2 + 9605*m^3 + 1005*m^4 + 51*m^5 + m^6 + 58240) + (b^5*x^m*x^16*(5714*m + 2485*m^2 + 445*m^3 + 35*m^4 + m^5 + 3640))/(95064*m + 45474*m^2 + 9605*m^3 + 1005*m^4 + 51*m^5 + m^6 + 58240) + (5*a*b^4*x^m*x^13*(6968*m + 2962*m^2 + 511*m^3 + 38*m^4 + m^5 + 4480))/(95064*m + 45474*m^2 + 9605*m^3 + 1005*m^4 + 51*m^5 + m^6 + 58240) + (5*a^4*b*x^m*x^4*(20126*m + 6337*m^2 + 817*m^3 + 47*m^4 + m^5 + 14560))/(95064*m + 45474*m^2 + 9605*m^3 + 1005*m^4 + 51*m^5 + m^6 + 58240) + (10*a^2*b^3*x^m*x^10*(8924*m + 3655*m^2 + 595*m^3 + 41*m^4 + m^5 + 5824))/(95064*m + 45474*m^2 + 9605*m^3 + 1005*m^4 + 51*m^5 + m^6 + 58240) + (10*a^3*b^2*x^m*x^7*(12392*m + 4726*m^2 + 697*m^3 + 44*m^4 + m^5 + 8320))/(95064*m + 45474*m^2 + 9605*m^3 + 1005*m^4 + 51*m^5 + m^6 + 58240)","B"
585,1,167,61,1.349906,"\text{Not used}","int(x^m*(a + b*x^3)^3,x)","x^m\,\left(\frac{a^3\,x\,\left(m^3+21\,m^2+138\,m+280\right)}{m^4+22\,m^3+159\,m^2+418\,m+280}+\frac{b^3\,x^{10}\,\left(m^3+12\,m^2+39\,m+28\right)}{m^4+22\,m^3+159\,m^2+418\,m+280}+\frac{3\,a\,b^2\,x^7\,\left(m^3+15\,m^2+54\,m+40\right)}{m^4+22\,m^3+159\,m^2+418\,m+280}+\frac{3\,a^2\,b\,x^4\,\left(m^3+18\,m^2+87\,m+70\right)}{m^4+22\,m^3+159\,m^2+418\,m+280}\right)","Not used",1,"x^m*((a^3*x*(138*m + 21*m^2 + m^3 + 280))/(418*m + 159*m^2 + 22*m^3 + m^4 + 280) + (b^3*x^10*(39*m + 12*m^2 + m^3 + 28))/(418*m + 159*m^2 + 22*m^3 + m^4 + 280) + (3*a*b^2*x^7*(54*m + 15*m^2 + m^3 + 40))/(418*m + 159*m^2 + 22*m^3 + m^4 + 280) + (3*a^2*b*x^4*(87*m + 18*m^2 + m^3 + 70))/(418*m + 159*m^2 + 22*m^3 + m^4 + 280))","B"
586,1,93,43,1.306354,"\text{Not used}","int(x^m*(a + b*x^3)^2,x)","x^m\,\left(\frac{a^2\,x\,\left(m^2+11\,m+28\right)}{m^3+12\,m^2+39\,m+28}+\frac{b^2\,x^7\,\left(m^2+5\,m+4\right)}{m^3+12\,m^2+39\,m+28}+\frac{2\,a\,b\,x^4\,\left(m^2+8\,m+7\right)}{m^3+12\,m^2+39\,m+28}\right)","Not used",1,"x^m*((a^2*x*(11*m + m^2 + 28))/(39*m + 12*m^2 + m^3 + 28) + (b^2*x^7*(5*m + m^2 + 4))/(39*m + 12*m^2 + m^3 + 28) + (2*a*b*x^4*(8*m + m^2 + 7))/(39*m + 12*m^2 + m^3 + 28))","B"
587,1,34,25,1.211387,"\text{Not used}","int(x^m*(a + b*x^3),x)","\frac{x^{m+1}\,\left(4\,a+a\,m+b\,x^3+b\,m\,x^3\right)}{m^2+5\,m+4}","Not used",1,"(x^(m + 1)*(4*a + a*m + b*x^3 + b*m*x^3))/(5*m + m^2 + 4)","B"
588,0,-1,39,0.000000,"\text{Not used}","int(x^m/(a + b*x^3),x)","\int \frac{x^m}{b\,x^3+a} \,d x","Not used",1,"int(x^m/(a + b*x^3), x)","F"
589,0,-1,39,0.000000,"\text{Not used}","int(x^m/(a + b*x^3)^2,x)","\int \frac{x^m}{{\left(b\,x^3+a\right)}^2} \,d x","Not used",1,"int(x^m/(a + b*x^3)^2, x)","F"
590,0,-1,39,0.000000,"\text{Not used}","int(x^m/(a + b*x^3)^3,x)","\int \frac{x^m}{{\left(b\,x^3+a\right)}^3} \,d x","Not used",1,"int(x^m/(a + b*x^3)^3, x)","F"
591,0,-1,64,0.000000,"\text{Not used}","int(x^m*(a + b*x^3)^(3/2),x)","\int x^m\,{\left(b\,x^3+a\right)}^{3/2} \,d x","Not used",1,"int(x^m*(a + b*x^3)^(3/2), x)","F"
592,0,-1,63,0.000000,"\text{Not used}","int(x^m*(a + b*x^3)^(1/2),x)","\int x^m\,\sqrt{b\,x^3+a} \,d x","Not used",1,"int(x^m*(a + b*x^3)^(1/2), x)","F"
593,0,-1,52,0.000000,"\text{Not used}","int(x^m/(a + b*x^3)^(1/2),x)","\int \frac{x^m}{\sqrt{b\,x^3+a}} \,d x","Not used",1,"int(x^m/(a + b*x^3)^(1/2), x)","F"
594,0,-1,66,0.000000,"\text{Not used}","int(x^m/(a + b*x^3)^(3/2),x)","\int \frac{x^m}{{\left(b\,x^3+a\right)}^{3/2}} \,d x","Not used",1,"int(x^m/(a + b*x^3)^(3/2), x)","F"
595,0,-1,69,0.000000,"\text{Not used}","int((c*x)^m*(a + b*x^3)^(4/3),x)","\int {\left(c\,x\right)}^m\,{\left(b\,x^3+a\right)}^{4/3} \,d x","Not used",1,"int((c*x)^m*(a + b*x^3)^(4/3), x)","F"
596,0,-1,61,0.000000,"\text{Not used}","int((c*x)^m*(a + b*x^3)^(2/3),x)","\int {\left(c\,x\right)}^m\,{\left(b\,x^3+a\right)}^{2/3} \,d x","Not used",1,"int((c*x)^m*(a + b*x^3)^(2/3), x)","F"
597,0,-1,61,0.000000,"\text{Not used}","int((c*x)^m*(a + b*x^3)^(1/3),x)","\int {\left(c\,x\right)}^m\,{\left(b\,x^3+a\right)}^{1/3} \,d x","Not used",1,"int((c*x)^m*(a + b*x^3)^(1/3), x)","F"
598,0,-1,66,0.000000,"\text{Not used}","int((c*x)^m*(a + b*x^3)^p,x)","\int {\left(c\,x\right)}^m\,{\left(b\,x^3+a\right)}^p \,d x","Not used",1,"int((c*x)^m*(a + b*x^3)^p, x)","F"
599,1,21,23,1.087497,"\text{Not used}","int(x^2*(a + b*x^3)^p,x)","\frac{{\left(b\,x^3+a\right)}^{p+1}}{3\,b\,\left(p+1\right)}","Not used",1,"(a + b*x^3)^(p + 1)/(3*b*(p + 1))","B"
600,1,68,48,1.076245,"\text{Not used}","int(x^5*(a + b*x^3)^p,x)","{\left(b\,x^3+a\right)}^p\,\left(\frac{x^6\,\left(p+1\right)}{3\,\left(p^2+3\,p+2\right)}-\frac{a^2}{3\,b^2\,\left(p^2+3\,p+2\right)}+\frac{a\,p\,x^3}{3\,b\,\left(p^2+3\,p+2\right)}\right)","Not used",1,"(a + b*x^3)^p*((x^6*(p + 1))/(3*(3*p + p^2 + 2)) - a^2/(3*b^2*(3*p + p^2 + 2)) + (a*p*x^3)/(3*b*(3*p + p^2 + 2)))","B"
601,1,118,74,1.090856,"\text{Not used}","int(x^8*(a + b*x^3)^p,x)","{\left(b\,x^3+a\right)}^p\,\left(\frac{2\,a^3}{3\,b^3\,\left(p^3+6\,p^2+11\,p+6\right)}+\frac{x^9\,\left(p^2+3\,p+2\right)}{3\,\left(p^3+6\,p^2+11\,p+6\right)}-\frac{2\,a^2\,p\,x^3}{3\,b^2\,\left(p^3+6\,p^2+11\,p+6\right)}+\frac{a\,p\,x^6\,\left(p+1\right)}{3\,b\,\left(p^3+6\,p^2+11\,p+6\right)}\right)","Not used",1,"(a + b*x^3)^p*((2*a^3)/(3*b^3*(11*p + 6*p^2 + p^3 + 6)) + (x^9*(3*p + p^2 + 2))/(3*(11*p + 6*p^2 + p^3 + 6)) - (2*a^2*p*x^3)/(3*b^2*(11*p + 6*p^2 + p^3 + 6)) + (a*p*x^6*(p + 1))/(3*b*(11*p + 6*p^2 + p^3 + 6)))","B"
602,1,183,95,1.115684,"\text{Not used}","int(x^11*(a + b*x^3)^p,x)","{\left(b\,x^3+a\right)}^p\,\left(\frac{x^{12}\,\left(p^3+6\,p^2+11\,p+6\right)}{3\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}-\frac{2\,a^4}{b^4\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}+\frac{2\,a^3\,p\,x^3}{b^3\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}+\frac{a\,p\,x^9\,\left(p^2+3\,p+2\right)}{3\,b\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}-\frac{a^2\,p\,x^6\,\left(p+1\right)}{b^2\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}\right)","Not used",1,"(a + b*x^3)^p*((x^12*(11*p + 6*p^2 + p^3 + 6))/(3*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)) - (2*a^4)/(b^4*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)) + (2*a^3*p*x^3)/(b^3*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)) + (a*p*x^9*(3*p + p^2 + 2))/(3*b*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)) - (a^2*p*x^6*(p + 1))/(b^2*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)))","B"
603,1,34,25,1.235540,"\text{Not used}","int(x^m*(a + b*x^4),x)","\frac{x^{m+1}\,\left(5\,a+a\,m+b\,x^4+b\,m\,x^4\right)}{m^2+6\,m+5}","Not used",1,"(x^(m + 1)*(5*a + a*m + b*x^4 + b*m*x^4))/(6*m + m^2 + 5)","B"
604,1,13,17,0.021091,"\text{Not used}","int(x^5*(a + b*x^4),x)","\frac{b\,x^{10}}{10}+\frac{a\,x^6}{6}","Not used",1,"(a*x^6)/6 + (b*x^10)/10","B"
605,1,13,17,0.019409,"\text{Not used}","int(x^4*(a + b*x^4),x)","\frac{b\,x^9}{9}+\frac{a\,x^5}{5}","Not used",1,"(a*x^5)/5 + (b*x^9)/9","B"
606,1,13,17,0.019874,"\text{Not used}","int(x^3*(a + b*x^4),x)","\frac{b\,x^8}{8}+\frac{a\,x^4}{4}","Not used",1,"(a*x^4)/4 + (b*x^8)/8","B"
607,1,13,17,0.019072,"\text{Not used}","int(x^2*(a + b*x^4),x)","\frac{b\,x^7}{7}+\frac{a\,x^3}{3}","Not used",1,"(a*x^3)/3 + (b*x^7)/7","B"
608,1,13,17,0.020609,"\text{Not used}","int(x*(a + b*x^4),x)","\frac{b\,x^6}{6}+\frac{a\,x^2}{2}","Not used",1,"(a*x^2)/2 + (b*x^6)/6","B"
609,1,10,12,0.016004,"\text{Not used}","int(a + b*x^4,x)","\frac{b\,x^5}{5}+a\,x","Not used",1,"a*x + (b*x^5)/5","B"
610,1,11,13,0.021436,"\text{Not used}","int((a + b*x^4)/x,x)","\frac{b\,x^4}{4}+a\,\ln\left(x\right)","Not used",1,"(b*x^4)/4 + a*log(x)","B"
611,1,13,15,0.022110,"\text{Not used}","int((a + b*x^4)/x^2,x)","\frac{b\,x^3}{3}-\frac{a}{x}","Not used",1,"(b*x^3)/3 - a/x","B"
612,1,13,17,0.021713,"\text{Not used}","int((a + b*x^4)/x^3,x)","-\frac{a-b\,x^4}{2\,x^2}","Not used",1,"-(a - b*x^4)/(2*x^2)","B"
613,1,10,12,0.022152,"\text{Not used}","int((a + b*x^4)/x^4,x)","b\,x-\frac{a}{3\,x^3}","Not used",1,"b*x - a/(3*x^3)","B"
614,1,11,13,0.040361,"\text{Not used}","int((a + b*x^4)/x^5,x)","b\,\ln\left(x\right)-\frac{a}{4\,x^4}","Not used",1,"b*log(x) - a/(4*x^4)","B"
615,1,13,15,0.023626,"\text{Not used}","int((a + b*x^4)/x^6,x)","-\frac{5\,b\,x^4+a}{5\,x^5}","Not used",1,"-(a + 5*b*x^4)/(5*x^5)","B"
616,1,13,17,0.025253,"\text{Not used}","int((a + b*x^4)/x^7,x)","-\frac{3\,b\,x^4+a}{6\,x^6}","Not used",1,"-(a + 3*b*x^4)/(6*x^6)","B"
617,1,15,17,0.025620,"\text{Not used}","int((a + b*x^4)/x^8,x)","-\frac{7\,b\,x^4+3\,a}{21\,x^7}","Not used",1,"-(3*a + 7*b*x^4)/(21*x^7)","B"
618,1,13,17,0.026303,"\text{Not used}","int((a + b*x^4)/x^9,x)","-\frac{2\,b\,x^4+a}{8\,x^8}","Not used",1,"-(a + 2*b*x^4)/(8*x^8)","B"
619,1,15,17,0.026702,"\text{Not used}","int((a + b*x^4)/x^10,x)","-\frac{9\,b\,x^4+5\,a}{45\,x^9}","Not used",1,"-(5*a + 9*b*x^4)/(45*x^9)","B"
620,1,93,43,1.315275,"\text{Not used}","int(x^m*(a + b*x^4)^2,x)","x^m\,\left(\frac{a^2\,x\,\left(m^2+14\,m+45\right)}{m^3+15\,m^2+59\,m+45}+\frac{b^2\,x^9\,\left(m^2+6\,m+5\right)}{m^3+15\,m^2+59\,m+45}+\frac{2\,a\,b\,x^5\,\left(m^2+10\,m+9\right)}{m^3+15\,m^2+59\,m+45}\right)","Not used",1,"x^m*((a^2*x*(14*m + m^2 + 45))/(59*m + 15*m^2 + m^3 + 45) + (b^2*x^9*(6*m + m^2 + 5))/(59*m + 15*m^2 + m^3 + 45) + (2*a*b*x^5*(10*m + m^2 + 9))/(59*m + 15*m^2 + m^3 + 45))","B"
621,1,24,30,0.034020,"\text{Not used}","int(x^5*(a + b*x^4)^2,x)","\frac{a^2\,x^6}{6}+\frac{a\,b\,x^{10}}{5}+\frac{b^2\,x^{14}}{14}","Not used",1,"(a^2*x^6)/6 + (b^2*x^14)/14 + (a*b*x^10)/5","B"
622,1,24,30,0.030172,"\text{Not used}","int(x^4*(a + b*x^4)^2,x)","\frac{a^2\,x^5}{5}+\frac{2\,a\,b\,x^9}{9}+\frac{b^2\,x^{13}}{13}","Not used",1,"(a^2*x^5)/5 + (b^2*x^13)/13 + (2*a*b*x^9)/9","B"
623,1,24,16,0.031173,"\text{Not used}","int(x^3*(a + b*x^4)^2,x)","\frac{a^2\,x^4}{4}+\frac{a\,b\,x^8}{4}+\frac{b^2\,x^{12}}{12}","Not used",1,"(a^2*x^4)/4 + (b^2*x^12)/12 + (a*b*x^8)/4","B"
624,1,24,30,0.030570,"\text{Not used}","int(x^2*(a + b*x^4)^2,x)","\frac{a^2\,x^3}{3}+\frac{2\,a\,b\,x^7}{7}+\frac{b^2\,x^{11}}{11}","Not used",1,"(a^2*x^3)/3 + (b^2*x^11)/11 + (2*a*b*x^7)/7","B"
625,1,24,30,0.031154,"\text{Not used}","int(x*(a + b*x^4)^2,x)","\frac{a^2\,x^2}{2}+\frac{a\,b\,x^6}{3}+\frac{b^2\,x^{10}}{10}","Not used",1,"(a^2*x^2)/2 + (b^2*x^10)/10 + (a*b*x^6)/3","B"
626,1,21,25,0.028039,"\text{Not used}","int((a + b*x^4)^2,x)","a^2\,x+\frac{2\,a\,b\,x^5}{5}+\frac{b^2\,x^9}{9}","Not used",1,"a^2*x + (b^2*x^9)/9 + (2*a*b*x^5)/5","B"
627,1,22,26,0.961559,"\text{Not used}","int((a + b*x^4)^2/x,x)","a^2\,\ln\left(x\right)+\frac{b^2\,x^8}{8}+\frac{a\,b\,x^4}{2}","Not used",1,"a^2*log(x) + (b^2*x^8)/8 + (a*b*x^4)/2","B"
628,1,25,28,0.033310,"\text{Not used}","int((a + b*x^4)^2/x^2,x)","\frac{-a^2+\frac{2\,a\,b\,x^4}{3}+\frac{b^2\,x^8}{7}}{x}","Not used",1,"((b^2*x^8)/7 - a^2 + (2*a*b*x^4)/3)/x","B"
629,1,25,27,0.031383,"\text{Not used}","int((a + b*x^4)^2/x^3,x)","\frac{-3\,a^2+6\,a\,b\,x^4+b^2\,x^8}{6\,x^2}","Not used",1,"(b^2*x^8 - 3*a^2 + 6*a*b*x^4)/(6*x^2)","B"
630,1,22,26,0.031322,"\text{Not used}","int((a + b*x^4)^2/x^4,x)","\frac{b^2\,x^5}{5}-\frac{a^2}{3\,x^3}+2\,a\,b\,x","Not used",1,"(b^2*x^5)/5 - a^2/(3*x^3) + 2*a*b*x","B"
631,1,23,27,0.029816,"\text{Not used}","int((a + b*x^4)^2/x^5,x)","\frac{b^2\,x^4}{4}-\frac{a^2}{4\,x^4}+2\,a\,b\,\ln\left(x\right)","Not used",1,"(b^2*x^4)/4 - a^2/(4*x^4) + 2*a*b*log(x)","B"
632,1,167,61,1.331697,"\text{Not used}","int(x^m*(a + b*x^4)^3,x)","x^m\,\left(\frac{a^3\,x\,\left(m^3+27\,m^2+227\,m+585\right)}{m^4+28\,m^3+254\,m^2+812\,m+585}+\frac{b^3\,x^{13}\,\left(m^3+15\,m^2+59\,m+45\right)}{m^4+28\,m^3+254\,m^2+812\,m+585}+\frac{3\,a\,b^2\,x^9\,\left(m^3+19\,m^2+83\,m+65\right)}{m^4+28\,m^3+254\,m^2+812\,m+585}+\frac{3\,a^2\,b\,x^5\,\left(m^3+23\,m^2+139\,m+117\right)}{m^4+28\,m^3+254\,m^2+812\,m+585}\right)","Not used",1,"x^m*((a^3*x*(227*m + 27*m^2 + m^3 + 585))/(812*m + 254*m^2 + 28*m^3 + m^4 + 585) + (b^3*x^13*(59*m + 15*m^2 + m^3 + 45))/(812*m + 254*m^2 + 28*m^3 + m^4 + 585) + (3*a*b^2*x^9*(83*m + 19*m^2 + m^3 + 65))/(812*m + 254*m^2 + 28*m^3 + m^4 + 585) + (3*a^2*b*x^5*(139*m + 23*m^2 + m^3 + 117))/(812*m + 254*m^2 + 28*m^3 + m^4 + 585))","B"
633,1,35,43,0.039343,"\text{Not used}","int(x^5*(a + b*x^4)^3,x)","\frac{a^3\,x^6}{6}+\frac{3\,a^2\,b\,x^{10}}{10}+\frac{3\,a\,b^2\,x^{14}}{14}+\frac{b^3\,x^{18}}{18}","Not used",1,"(a^3*x^6)/6 + (b^3*x^18)/18 + (3*a^2*b*x^10)/10 + (3*a*b^2*x^14)/14","B"
634,1,35,43,0.038851,"\text{Not used}","int(x^4*(a + b*x^4)^3,x)","\frac{a^3\,x^5}{5}+\frac{a^2\,b\,x^9}{3}+\frac{3\,a\,b^2\,x^{13}}{13}+\frac{b^3\,x^{17}}{17}","Not used",1,"(a^3*x^5)/5 + (b^3*x^17)/17 + (a^2*b*x^9)/3 + (3*a*b^2*x^13)/13","B"
635,1,35,16,0.039309,"\text{Not used}","int(x^3*(a + b*x^4)^3,x)","\frac{a^3\,x^4}{4}+\frac{3\,a^2\,b\,x^8}{8}+\frac{a\,b^2\,x^{12}}{4}+\frac{b^3\,x^{16}}{16}","Not used",1,"(a^3*x^4)/4 + (b^3*x^16)/16 + (3*a^2*b*x^8)/8 + (a*b^2*x^12)/4","B"
636,1,35,43,0.042263,"\text{Not used}","int(x^2*(a + b*x^4)^3,x)","\frac{a^3\,x^3}{3}+\frac{3\,a^2\,b\,x^7}{7}+\frac{3\,a\,b^2\,x^{11}}{11}+\frac{b^3\,x^{15}}{15}","Not used",1,"(a^3*x^3)/3 + (b^3*x^15)/15 + (3*a^2*b*x^7)/7 + (3*a*b^2*x^11)/11","B"
637,1,35,43,0.039248,"\text{Not used}","int(x*(a + b*x^4)^3,x)","\frac{a^3\,x^2}{2}+\frac{a^2\,b\,x^6}{2}+\frac{3\,a\,b^2\,x^{10}}{10}+\frac{b^3\,x^{14}}{14}","Not used",1,"(a^3*x^2)/2 + (b^3*x^14)/14 + (a^2*b*x^6)/2 + (3*a*b^2*x^10)/10","B"
638,1,32,38,0.038036,"\text{Not used}","int((a + b*x^4)^3,x)","a^3\,x+\frac{3\,a^2\,b\,x^5}{5}+\frac{a\,b^2\,x^9}{3}+\frac{b^3\,x^{13}}{13}","Not used",1,"a^3*x + (b^3*x^13)/13 + (3*a^2*b*x^5)/5 + (a*b^2*x^9)/3","B"
639,1,33,39,0.035068,"\text{Not used}","int((a + b*x^4)^3/x,x)","a^3\,\ln\left(x\right)+\frac{b^3\,x^{12}}{12}+\frac{3\,a^2\,b\,x^4}{4}+\frac{3\,a\,b^2\,x^8}{8}","Not used",1,"a^3*log(x) + (b^3*x^12)/12 + (3*a^2*b*x^4)/4 + (3*a*b^2*x^8)/8","B"
640,1,34,38,0.040818,"\text{Not used}","int((a + b*x^4)^3/x^2,x)","\frac{b^3\,x^{11}}{11}-\frac{a^3}{x}+a^2\,b\,x^3+\frac{3\,a\,b^2\,x^7}{7}","Not used",1,"(b^3*x^11)/11 - a^3/x + a^2*b*x^3 + (3*a*b^2*x^7)/7","B"
641,1,35,43,0.041717,"\text{Not used}","int((a + b*x^4)^3/x^3,x)","\frac{b^3\,x^{10}}{10}-\frac{a^3}{2\,x^2}+\frac{3\,a^2\,b\,x^2}{2}+\frac{a\,b^2\,x^6}{2}","Not used",1,"(b^3*x^10)/10 - a^3/(2*x^2) + (3*a^2*b*x^2)/2 + (a*b^2*x^6)/2","B"
642,1,33,39,0.040297,"\text{Not used}","int((a + b*x^4)^3/x^4,x)","\frac{b^3\,x^9}{9}-\frac{a^3}{3\,x^3}+\frac{3\,a\,b^2\,x^5}{5}+3\,a^2\,b\,x","Not used",1,"(b^3*x^9)/9 - a^3/(3*x^3) + (3*a*b^2*x^5)/5 + 3*a^2*b*x","B"
643,1,34,40,0.034581,"\text{Not used}","int((a + b*x^4)^3/x^5,x)","\frac{b^3\,x^8}{8}-\frac{a^3}{4\,x^4}+\frac{3\,a\,b^2\,x^4}{4}+3\,a^2\,b\,\ln\left(x\right)","Not used",1,"(b^3*x^8)/8 - a^3/(4*x^4) + (3*a*b^2*x^4)/4 + 3*a^2*b*log(x)","B"
644,1,37,51,0.085148,"\text{Not used}","int(x^9/(a + c*x^4),x)","\frac{x^6}{6\,c}-\frac{a\,x^2}{2\,c^2}+\frac{a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x^2}{\sqrt{a}}\right)}{2\,c^{5/2}}","Not used",1,"x^6/(6*c) - (a*x^2)/(2*c^2) + (a^(3/2)*atan((c^(1/2)*x^2)/a^(1/2)))/(2*c^(5/2))","B"
645,1,22,27,0.041408,"\text{Not used}","int(x^7/(a + c*x^4),x)","-\frac{a\,\ln\left(c\,x^4+a\right)-c\,x^4}{4\,c^2}","Not used",1,"-(a*log(a + c*x^4) - c*x^4)/(4*c^2)","B"
646,1,28,40,0.041071,"\text{Not used}","int(x^5/(a + c*x^4),x)","\frac{x^2}{2\,c}-\frac{\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x^2}{\sqrt{a}}\right)}{2\,c^{3/2}}","Not used",1,"x^2/(2*c) - (a^(1/2)*atan((c^(1/2)*x^2)/a^(1/2)))/(2*c^(3/2))","B"
647,1,13,15,0.030356,"\text{Not used}","int(x^3/(a + c*x^4),x)","\frac{\ln\left(c\,x^4+a\right)}{4\,c}","Not used",1,"log(a + c*x^4)/(4*c)","B"
648,1,19,29,0.049944,"\text{Not used}","int(x/(a + c*x^4),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x^2}{\sqrt{a}}\right)}{2\,\sqrt{a}\,\sqrt{c}}","Not used",1,"atan((c^(1/2)*x^2)/a^(1/2))/(2*a^(1/2)*c^(1/2))","B"
649,1,18,22,0.997882,"\text{Not used}","int(1/(x*(a + c*x^4)),x)","-\frac{\ln\left(c\,x^4+a\right)-4\,\ln\left(x\right)}{4\,a}","Not used",1,"-(log(a + c*x^4) - 4*log(x))/(4*a)","B"
650,1,28,40,0.049189,"\text{Not used}","int(1/(x^3*(a + c*x^4)),x)","-\frac{1}{2\,a\,x^2}-\frac{\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x^2}{\sqrt{a}}\right)}{2\,a^{3/2}}","Not used",1,"- 1/(2*a*x^2) - (c^(1/2)*atan((c^(1/2)*x^2)/a^(1/2)))/(2*a^(3/2))","B"
651,1,31,35,0.074465,"\text{Not used}","int(1/(x^5*(a + c*x^4)),x)","\frac{c\,\ln\left(c\,x^4+a\right)}{4\,a^2}-\frac{1}{4\,a\,x^4}-\frac{c\,\ln\left(x\right)}{a^2}","Not used",1,"(c*log(a + c*x^4))/(4*a^2) - 1/(4*a*x^4) - (c*log(x))/a^2","B"
652,1,40,51,0.060615,"\text{Not used}","int(1/(x^7*(a + c*x^4)),x)","\frac{c^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x^2}{\sqrt{a}}\right)}{2\,a^{5/2}}-\frac{\frac{1}{6\,a}-\frac{c\,x^4}{2\,a^2}}{x^6}","Not used",1,"(c^(3/2)*atan((c^(1/2)*x^2)/a^(1/2)))/(2*a^(5/2)) - (1/(6*a) - (c*x^4)/(2*a^2))/x^6","B"
653,1,48,190,1.038042,"\text{Not used}","int(x^4/(a + c*x^4),x)","\frac{x}{c}-\frac{{\left(-a\right)}^{1/4}\,\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{2\,c^{5/4}}-\frac{{\left(-a\right)}^{1/4}\,\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{2\,c^{5/4}}","Not used",1,"x/c - ((-a)^(1/4)*atan((c^(1/4)*x)/(-a)^(1/4)))/(2*c^(5/4)) - ((-a)^(1/4)*atanh((c^(1/4)*x)/(-a)^(1/4)))/(2*c^(5/4))","B"
654,1,35,185,1.035995,"\text{Not used}","int(x^2/(a + c*x^4),x)","\frac{\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)-\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{2\,{\left(-a\right)}^{1/4}\,c^{3/4}}","Not used",1,"(atan((c^(1/4)*x)/(-a)^(1/4)) - atanh((c^(1/4)*x)/(-a)^(1/4)))/(2*(-a)^(1/4)*c^(3/4))","B"
655,1,33,185,1.014025,"\text{Not used}","int(1/(a + c*x^4),x)","-\frac{\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)+\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{2\,{\left(-a\right)}^{3/4}\,c^{1/4}}","Not used",1,"-(atan((c^(1/4)*x)/(-a)^(1/4)) + atanh((c^(1/4)*x)/(-a)^(1/4)))/(2*(-a)^(3/4)*c^(1/4))","B"
656,1,51,193,0.101287,"\text{Not used}","int(1/(x^2*(a + c*x^4)),x)","\frac{{\left(-c\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-c\right)}^{1/4}\,x}{a^{1/4}}\right)}{2\,a^{5/4}}-\frac{{\left(-c\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/4}\,x}{a^{1/4}}\right)}{2\,a^{5/4}}-\frac{1}{a\,x}","Not used",1,"((-c)^(1/4)*atanh(((-c)^(1/4)*x)/a^(1/4)))/(2*a^(5/4)) - ((-c)^(1/4)*atan(((-c)^(1/4)*x)/a^(1/4)))/(2*a^(5/4)) - 1/(a*x)","B"
657,1,51,195,0.099269,"\text{Not used}","int(1/(x^4*(a + c*x^4)),x)","\frac{{\left(-c\right)}^{3/4}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/4}\,x}{a^{1/4}}\right)}{2\,a^{7/4}}-\frac{1}{3\,a\,x^3}+\frac{{\left(-c\right)}^{3/4}\,\mathrm{atanh}\left(\frac{{\left(-c\right)}^{1/4}\,x}{a^{1/4}}\right)}{2\,a^{7/4}}","Not used",1,"((-c)^(3/4)*atan(((-c)^(1/4)*x)/a^(1/4)))/(2*a^(7/4)) - 1/(3*a*x^3) + ((-c)^(3/4)*atanh(((-c)^(1/4)*x)/a^(1/4)))/(2*a^(7/4))","B"
658,1,45,46,0.994159,"\text{Not used}","int(x^11/(a + c*x^4)^2,x)","\frac{x^4}{4\,c^2}-\frac{a^2}{4\,\left(c^4\,x^4+a\,c^3\right)}-\frac{a\,\ln\left(c\,x^4+a\right)}{2\,c^3}","Not used",1,"x^4/(4*c^2) - a^2/(4*(a*c^3 + c^4*x^4)) - (a*log(a + c*x^4))/(2*c^3)","B"
659,1,50,59,1.071152,"\text{Not used}","int(x^9/(a + c*x^4)^2,x)","\frac{x^2}{2\,c^2}+\frac{a\,x^2}{4\,\left(c^3\,x^4+a\,c^2\right)}-\frac{3\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x^2}{\sqrt{a}}\right)}{4\,c^{5/2}}","Not used",1,"x^2/(2*c^2) + (a*x^2)/(4*(a*c^2 + c^3*x^4)) - (3*a^(1/2)*atan((c^(1/2)*x^2)/a^(1/2)))/(4*c^(5/2))","B"
660,1,29,33,0.046298,"\text{Not used}","int(x^7/(a + c*x^4)^2,x)","\frac{\ln\left(c\,x^4+a\right)}{4\,c^2}+\frac{a}{4\,c^2\,\left(c\,x^4+a\right)}","Not used",1,"log(a + c*x^4)/(4*c^2) + a/(4*c^2*(a + c*x^4))","B"
661,1,37,49,0.074010,"\text{Not used}","int(x^5/(a + c*x^4)^2,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x^2}{\sqrt{a}}\right)}{4\,\sqrt{a}\,c^{3/2}}-\frac{x^2}{4\,c\,\left(c\,x^4+a\right)}","Not used",1,"atan((c^(1/2)*x^2)/a^(1/2))/(4*a^(1/2)*c^(3/2)) - x^2/(4*c*(a + c*x^4))","B"
662,1,14,16,0.954643,"\text{Not used}","int(x^3/(a + c*x^4)^2,x)","-\frac{1}{4\,c\,\left(c\,x^4+a\right)}","Not used",1,"-1/(4*c*(a + c*x^4))","B"
663,1,37,49,0.044727,"\text{Not used}","int(x/(a + c*x^4)^2,x)","\frac{x^2}{4\,a\,\left(c\,x^4+a\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x^2}{\sqrt{a}}\right)}{4\,a^{3/2}\,\sqrt{c}}","Not used",1,"x^2/(4*a*(a + c*x^4)) + atan((c^(1/2)*x^2)/a^(1/2))/(4*a^(3/2)*c^(1/2))","B"
664,1,34,38,0.065315,"\text{Not used}","int(1/(x*(a + c*x^4)^2),x)","\frac{\ln\left(x\right)}{a^2}+\frac{1}{4\,a\,\left(c\,x^4+a\right)}-\frac{\ln\left(c\,x^4+a\right)}{4\,a^2}","Not used",1,"log(x)/a^2 + 1/(4*a*(a + c*x^4)) - log(a + c*x^4)/(4*a^2)","B"
665,1,50,59,1.023145,"\text{Not used}","int(1/(x^3*(a + c*x^4)^2),x)","-\frac{\frac{1}{2\,a}+\frac{3\,c\,x^4}{4\,a^2}}{c\,x^6+a\,x^2}-\frac{3\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x^2}{\sqrt{a}}\right)}{4\,a^{5/2}}","Not used",1,"- (1/(2*a) + (3*c*x^4)/(4*a^2))/(a*x^2 + c*x^6) - (3*c^(1/2)*atan((c^(1/2)*x^2)/a^(1/2)))/(4*a^(5/2))","B"
666,1,60,204,1.075607,"\text{Not used}","int(x^6/(a + c*x^4)^2,x)","\frac{3\,\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{8\,{\left(-a\right)}^{1/4}\,c^{7/4}}-\frac{3\,\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{8\,{\left(-a\right)}^{1/4}\,c^{7/4}}-\frac{x^3}{4\,c\,\left(c\,x^4+a\right)}","Not used",1,"(3*atan((c^(1/4)*x)/(-a)^(1/4)))/(8*(-a)^(1/4)*c^(7/4)) - (3*atanh((c^(1/4)*x)/(-a)^(1/4)))/(8*(-a)^(1/4)*c^(7/4)) - x^3/(4*c*(a + c*x^4))","B"
667,1,58,202,1.060866,"\text{Not used}","int(x^4/(a + c*x^4)^2,x)","-\frac{x}{4\,c\,\left(c\,x^4+a\right)}-\frac{\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{8\,{\left(-a\right)}^{3/4}\,c^{5/4}}-\frac{\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{8\,{\left(-a\right)}^{3/4}\,c^{5/4}}","Not used",1,"- x/(4*c*(a + c*x^4)) - atan((c^(1/4)*x)/(-a)^(1/4))/(8*(-a)^(3/4)*c^(5/4)) - atanh((c^(1/4)*x)/(-a)^(1/4))/(8*(-a)^(3/4)*c^(5/4))","B"
668,1,60,204,0.113868,"\text{Not used}","int(x^2/(a + c*x^4)^2,x)","\frac{\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{8\,{\left(-a\right)}^{5/4}\,c^{3/4}}-\frac{\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{8\,{\left(-a\right)}^{5/4}\,c^{3/4}}+\frac{x^3}{4\,a\,\left(c\,x^4+a\right)}","Not used",1,"atanh((c^(1/4)*x)/(-a)^(1/4))/(8*(-a)^(5/4)*c^(3/4)) - atan((c^(1/4)*x)/(-a)^(1/4))/(8*(-a)^(5/4)*c^(3/4)) + x^3/(4*a*(a + c*x^4))","B"
669,1,58,202,1.046266,"\text{Not used}","int(1/(a + c*x^4)^2,x)","\frac{x}{4\,a\,\left(c\,x^4+a\right)}+\frac{3\,\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{8\,{\left(-a\right)}^{7/4}\,c^{1/4}}+\frac{3\,\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{8\,{\left(-a\right)}^{7/4}\,c^{1/4}}","Not used",1,"x/(4*a*(a + c*x^4)) + (3*atan((c^(1/4)*x)/(-a)^(1/4)))/(8*(-a)^(7/4)*c^(1/4)) + (3*atanh((c^(1/4)*x)/(-a)^(1/4)))/(8*(-a)^(7/4)*c^(1/4))","B"
670,1,69,214,1.032577,"\text{Not used}","int(1/(x^2*(a + c*x^4)^2),x)","\frac{5\,{\left(-c\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-c\right)}^{1/4}\,x}{a^{1/4}}\right)}{8\,a^{9/4}}-\frac{5\,{\left(-c\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/4}\,x}{a^{1/4}}\right)}{8\,a^{9/4}}-\frac{\frac{1}{a}+\frac{5\,c\,x^4}{4\,a^2}}{c\,x^5+a\,x}","Not used",1,"(5*(-c)^(1/4)*atanh(((-c)^(1/4)*x)/a^(1/4)))/(8*a^(9/4)) - (5*(-c)^(1/4)*atan(((-c)^(1/4)*x)/a^(1/4)))/(8*a^(9/4)) - (1/a + (5*c*x^4)/(4*a^2))/(a*x + c*x^5)","B"
671,1,73,214,0.109394,"\text{Not used}","int(1/(x^4*(a + c*x^4)^2),x)","\frac{7\,{\left(-c\right)}^{3/4}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/4}\,x}{a^{1/4}}\right)}{8\,a^{11/4}}-\frac{\frac{1}{3\,a}+\frac{7\,c\,x^4}{12\,a^2}}{c\,x^7+a\,x^3}+\frac{7\,{\left(-c\right)}^{3/4}\,\mathrm{atanh}\left(\frac{{\left(-c\right)}^{1/4}\,x}{a^{1/4}}\right)}{8\,a^{11/4}}","Not used",1,"(7*(-c)^(3/4)*atan(((-c)^(1/4)*x)/a^(1/4)))/(8*a^(11/4)) - (1/(3*a) + (7*c*x^4)/(12*a^2))/(a*x^3 + c*x^7) + (7*(-c)^(3/4)*atanh(((-c)^(1/4)*x)/a^(1/4)))/(8*a^(11/4))","B"
672,1,53,52,0.072526,"\text{Not used}","int(x^11/(a + c*x^4)^3,x)","\frac{\frac{3\,a^2}{8\,c^3}+\frac{a\,x^4}{2\,c^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}+\frac{\ln\left(c\,x^4+a\right)}{4\,c^3}","Not used",1,"((3*a^2)/(8*c^3) + (a*x^4)/(2*c^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) + log(a + c*x^4)/(4*c^3)","B"
673,1,60,68,1.044369,"\text{Not used}","int(x^9/(a + c*x^4)^3,x)","\frac{3\,\mathrm{atan}\left(\frac{\sqrt{c}\,x^2}{\sqrt{a}}\right)}{16\,\sqrt{a}\,c^{5/2}}-\frac{\frac{5\,x^6}{16\,c}+\frac{3\,a\,x^2}{16\,c^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}","Not used",1,"(3*atan((c^(1/2)*x^2)/a^(1/2)))/(16*a^(1/2)*c^(5/2)) - ((5*x^6)/(16*c) + (3*a*x^2)/(16*c^2))/(a^2 + c^2*x^8 + 2*a*c*x^4)","B"
674,1,37,19,0.032148,"\text{Not used}","int(x^7/(a + c*x^4)^3,x)","-\frac{\frac{a}{8\,c^2}+\frac{x^4}{4\,c}}{a^2+2\,a\,c\,x^4+c^2\,x^8}","Not used",1,"-(a/(8*c^2) + x^4/(4*c))/(a^2 + c^2*x^8 + 2*a*c*x^4)","B"
675,1,58,71,1.036286,"\text{Not used}","int(x^5/(a + c*x^4)^3,x)","\frac{\frac{x^6}{16\,a}-\frac{x^2}{16\,c}}{a^2+2\,a\,c\,x^4+c^2\,x^8}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x^2}{\sqrt{a}}\right)}{16\,a^{3/2}\,c^{3/2}}","Not used",1,"(x^6/(16*a) - x^2/(16*c))/(a^2 + c^2*x^8 + 2*a*c*x^4) + atan((c^(1/2)*x^2)/a^(1/2))/(16*a^(3/2)*c^(3/2))","B"
676,1,25,16,0.028031,"\text{Not used}","int(x^3/(a + c*x^4)^3,x)","-\frac{1}{8\,c\,\left(a^2+2\,a\,c\,x^4+c^2\,x^8\right)}","Not used",1,"-1/(8*c*(a^2 + c^2*x^8 + 2*a*c*x^4))","B"
677,1,59,68,1.004041,"\text{Not used}","int(x/(a + c*x^4)^3,x)","\frac{\frac{5\,x^2}{16\,a}+\frac{3\,c\,x^6}{16\,a^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}+\frac{3\,\mathrm{atan}\left(\frac{\sqrt{c}\,x^2}{\sqrt{a}}\right)}{16\,a^{5/2}\,\sqrt{c}}","Not used",1,"((5*x^2)/(16*a) + (3*c*x^6)/(16*a^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) + (3*atan((c^(1/2)*x^2)/a^(1/2)))/(16*a^(5/2)*c^(1/2))","B"
678,1,56,54,1.036170,"\text{Not used}","int(1/(x*(a + c*x^4)^3),x)","\frac{\ln\left(x\right)}{a^3}+\frac{\frac{3}{8\,a}+\frac{c\,x^4}{4\,a^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}-\frac{\ln\left(c\,x^4+a\right)}{4\,a^3}","Not used",1,"log(x)/a^3 + (3/(8*a) + (c*x^4)/(4*a^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) - log(a + c*x^4)/(4*a^3)","B"
679,1,72,78,1.051551,"\text{Not used}","int(1/(x^3*(a + c*x^4)^3),x)","-\frac{\frac{1}{2\,a}+\frac{25\,c\,x^4}{16\,a^2}+\frac{15\,c^2\,x^8}{16\,a^3}}{a^2\,x^2+2\,a\,c\,x^6+c^2\,x^{10}}-\frac{15\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x^2}{\sqrt{a}}\right)}{16\,a^{7/2}}","Not used",1,"- (1/(2*a) + (25*c*x^4)/(16*a^2) + (15*c^2*x^8)/(16*a^3))/(a^2*x^2 + c^2*x^10 + 2*a*c*x^6) - (15*c^(1/2)*atan((c^(1/2)*x^2)/a^(1/2)))/(16*a^(7/2))","B"
680,1,83,223,1.070090,"\text{Not used}","int(x^10/(a + c*x^4)^3,x)","\frac{21\,\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{1/4}\,c^{11/4}}-\frac{\frac{11\,x^7}{32\,c}+\frac{7\,a\,x^3}{32\,c^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}-\frac{21\,\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{1/4}\,c^{11/4}}","Not used",1,"(21*atan((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(1/4)*c^(11/4)) - ((11*x^7)/(32*c) + (7*a*x^3)/(32*c^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) - (21*atanh((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(1/4)*c^(11/4))","B"
681,1,81,221,1.079603,"\text{Not used}","int(x^8/(a + c*x^4)^3,x)","-\frac{\frac{9\,x^5}{32\,c}+\frac{5\,a\,x}{32\,c^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}-\frac{5\,\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{3/4}\,c^{9/4}}-\frac{5\,\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{3/4}\,c^{9/4}}","Not used",1,"- ((9*x^5)/(32*c) + (5*a*x)/(32*c^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) - (5*atan((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(3/4)*c^(9/4)) - (5*atanh((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(3/4)*c^(9/4))","B"
682,1,81,226,1.075198,"\text{Not used}","int(x^6/(a + c*x^4)^3,x)","\frac{\frac{3\,x^7}{32\,a}-\frac{x^3}{32\,c}}{a^2+2\,a\,c\,x^4+c^2\,x^8}-\frac{3\,\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{5/4}\,c^{7/4}}+\frac{3\,\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{5/4}\,c^{7/4}}","Not used",1,"((3*x^7)/(32*a) - x^3/(32*c))/(a^2 + c^2*x^8 + 2*a*c*x^4) - (3*atan((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(5/4)*c^(7/4)) + (3*atanh((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(5/4)*c^(7/4))","B"
683,1,80,222,0.117557,"\text{Not used}","int(x^4/(a + c*x^4)^3,x)","\frac{3\,\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{7/4}\,c^{5/4}}-\frac{\frac{3\,x}{32\,c}-\frac{x^5}{32\,a}}{a^2+2\,a\,c\,x^4+c^2\,x^8}+\frac{3\,\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{7/4}\,c^{5/4}}","Not used",1,"(3*atan((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(7/4)*c^(5/4)) - ((3*x)/(32*c) - x^5/(32*a))/(a^2 + c^2*x^8 + 2*a*c*x^4) + (3*atanh((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(7/4)*c^(5/4))","B"
684,1,82,223,1.074922,"\text{Not used}","int(x^2/(a + c*x^4)^3,x)","\frac{\frac{9\,x^3}{32\,a}+\frac{5\,c\,x^7}{32\,a^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}+\frac{5\,\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{9/4}\,c^{3/4}}-\frac{5\,\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{9/4}\,c^{3/4}}","Not used",1,"((9*x^3)/(32*a) + (5*c*x^7)/(32*a^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) + (5*atan((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(9/4)*c^(3/4)) - (5*atanh((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(9/4)*c^(3/4))","B"
685,1,80,219,1.084180,"\text{Not used}","int(1/(a + c*x^4)^3,x)","\frac{\frac{11\,x}{32\,a}+\frac{7\,c\,x^5}{32\,a^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}-\frac{21\,\mathrm{atan}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{11/4}\,c^{1/4}}-\frac{21\,\mathrm{atanh}\left(\frac{c^{1/4}\,x}{{\left(-a\right)}^{1/4}}\right)}{64\,{\left(-a\right)}^{11/4}\,c^{1/4}}","Not used",1,"((11*x)/(32*a) + (7*c*x^5)/(32*a^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) - (21*atan((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(11/4)*c^(1/4)) - (21*atanh((c^(1/4)*x)/(-a)^(1/4)))/(64*(-a)^(11/4)*c^(1/4))","B"
686,1,91,233,0.112253,"\text{Not used}","int(1/(x^2*(a + c*x^4)^3),x)","\frac{45\,{\left(-c\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-c\right)}^{1/4}\,x}{a^{1/4}}\right)}{64\,a^{13/4}}-\frac{45\,{\left(-c\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/4}\,x}{a^{1/4}}\right)}{64\,a^{13/4}}-\frac{\frac{1}{a}+\frac{81\,c\,x^4}{32\,a^2}+\frac{45\,c^2\,x^8}{32\,a^3}}{a^2\,x+2\,a\,c\,x^5+c^2\,x^9}","Not used",1,"(45*(-c)^(1/4)*atanh(((-c)^(1/4)*x)/a^(1/4)))/(64*a^(13/4)) - (45*(-c)^(1/4)*atan(((-c)^(1/4)*x)/a^(1/4)))/(64*a^(13/4)) - (1/a + (81*c*x^4)/(32*a^2) + (45*c^2*x^8)/(32*a^3))/(a^2*x + c^2*x^9 + 2*a*c*x^5)","B"
687,1,25,38,0.038592,"\text{Not used}","int(x^9/(3*x^4 + 2),x)","\frac{\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,x^2}{2}\right)}{27}-\frac{x^2}{9}+\frac{x^6}{18}","Not used",1,"(6^(1/2)*atan((6^(1/2)*x^2)/2))/27 - x^2/9 + x^6/18","B"
688,1,14,20,0.029281,"\text{Not used}","int(x^7/(3*x^4 + 2),x)","\frac{x^4}{12}-\frac{\ln\left(x^4+\frac{2}{3}\right)}{18}","Not used",1,"x^4/12 - log(x^4 + 2/3)/18","B"
689,1,20,29,1.005310,"\text{Not used}","int(x^5/(3*x^4 + 2),x)","\frac{x^2}{6}-\frac{\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,x^2}{2}\right)}{18}","Not used",1,"x^2/6 - (6^(1/2)*atan((6^(1/2)*x^2)/2))/18","B"
690,1,8,12,0.981181,"\text{Not used}","int(x^3/(3*x^4 + 2),x)","\frac{\ln\left(x^4+\frac{2}{3}\right)}{12}","Not used",1,"log(x^4 + 2/3)/12","B"
691,1,14,21,0.026679,"\text{Not used}","int(x/(3*x^4 + 2),x)","\frac{\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,x^2}{2}\right)}{12}","Not used",1,"(6^(1/2)*atan((6^(1/2)*x^2)/2))/12","B"
692,1,13,19,0.066340,"\text{Not used}","int(1/(x*(3*x^4 + 2)),x)","\frac{\ln\left(x\right)}{2}-\frac{\ln\left(x^4+\frac{2}{3}\right)}{8}","Not used",1,"log(x)/2 - log(x^4 + 2/3)/8","B"
693,1,20,31,1.004917,"\text{Not used}","int(1/(x^3*(3*x^4 + 2)),x)","-\frac{\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,x^2}{2}\right)}{8}-\frac{1}{4\,x^2}","Not used",1,"- (6^(1/2)*atan((6^(1/2)*x^2)/2))/8 - 1/(4*x^2)","B"
694,1,38,104,0.123077,"\text{Not used}","int(x^6/(3*x^4 + 2),x)","\frac{x^3}{9}+6^{1/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{18}+\frac{1}{18}{}\mathrm{i}\right)+6^{1/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{18}-\frac{1}{18}{}\mathrm{i}\right)","Not used",1,"x^3/9 - 6^(1/4)*atan(6^(1/4)*x*(1/2 + 1i/2))*(1/18 + 1i/18) - 6^(1/4)*atan(6^(1/4)*x*(1/2 - 1i/2))*(1/18 - 1i/18)","B"
695,1,36,102,1.091956,"\text{Not used}","int(x^4/(3*x^4 + 2),x)","\frac{x}{3}+6^{3/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{36}-\frac{1}{36}{}\mathrm{i}\right)+6^{3/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{36}+\frac{1}{36}{}\mathrm{i}\right)","Not used",1,"x/3 - 6^(3/4)*atan(6^(1/4)*x*(1/2 - 1i/2))*(1/36 + 1i/36) - 6^(3/4)*atan(6^(1/4)*x*(1/2 + 1i/2))*(1/36 - 1i/36)","B"
696,1,33,97,0.107952,"\text{Not used}","int(x^2/(3*x^4 + 2),x)","6^{1/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{12}-\frac{1}{12}{}\mathrm{i}\right)+6^{1/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{12}+\frac{1}{12}{}\mathrm{i}\right)","Not used",1,"6^(1/4)*atan(6^(1/4)*x*(1/2 - 1i/2))*(1/12 - 1i/12) + 6^(1/4)*atan(6^(1/4)*x*(1/2 + 1i/2))*(1/12 + 1i/12)","B"
697,1,33,97,1.057600,"\text{Not used}","int(1/(3*x^4 + 2),x)","6^{3/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{24}+\frac{1}{24}{}\mathrm{i}\right)+6^{3/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{24}-\frac{1}{24}{}\mathrm{i}\right)","Not used",1,"6^(3/4)*atan(6^(1/4)*x*(1/2 - 1i/2))*(1/24 + 1i/24) + 6^(3/4)*atan(6^(1/4)*x*(1/2 + 1i/2))*(1/24 - 1i/24)","B"
698,1,38,124,0.107863,"\text{Not used}","int(1/(x^2*(3*x^4 + 2)),x)","-\frac{1}{2\,x}+6^{1/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)+6^{1/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"- 6^(1/4)*atan(6^(1/4)*x*(1/2 - 1i/2))*(1/8 - 1i/8) - 6^(1/4)*atan(6^(1/4)*x*(1/2 + 1i/2))*(1/8 + 1i/8) - 1/(2*x)","B"
699,1,11,13,0.999120,"\text{Not used}","int(x^3/(3*x^4 + 2)^2,x)","-\frac{1}{36\,x^4+24}","Not used",1,"-1/(36*x^4 + 24)","B"
700,1,28,38,0.036802,"\text{Not used}","int(x/(3*x^4 + 2)^2,x)","\frac{\sqrt{6}\,\mathrm{atan}\left(\frac{\sqrt{6}\,x^2}{2}\right)}{48}+\frac{x^2}{24\,\left(x^4+\frac{2}{3}\right)}","Not used",1,"(6^(1/2)*atan((6^(1/2)*x^2)/2))/48 + x^2/(24*(x^4 + 2/3))","B"
701,1,22,32,0.065097,"\text{Not used}","int(1/(x*(3*x^4 + 2)^2),x)","\frac{\ln\left(x\right)}{4}-\frac{\ln\left(x^4+\frac{2}{3}\right)}{16}+\frac{1}{24\,\left(x^4+\frac{2}{3}\right)}","Not used",1,"log(x)/4 - log(x^4 + 2/3)/16 + 1/(24*(x^4 + 2/3))","B"
702,1,41,47,1.003354,"\text{Not used}","int(1/(x^3*(3*x^4 + 2)^2),x)","-\frac{\frac{3\,x^4}{16}+\frac{1}{12}}{x^6+\frac{2\,x^2}{3}}-\frac{3\,\sqrt{2}\,\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{3}\,x^2}{2}\right)}{32}","Not used",1,"- ((3*x^4)/16 + 1/12)/((2*x^2)/3 + x^6) - (3*2^(1/2)*3^(1/2)*atan((2^(1/2)*3^(1/2)*x^2)/2))/32","B"
703,1,45,111,1.164666,"\text{Not used}","int(x^4/(3*x^4 + 2)^2,x)","-\frac{x}{36\,\left(x^4+\frac{2}{3}\right)}+6^{3/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{288}+\frac{1}{288}{}\mathrm{i}\right)+6^{3/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{288}-\frac{1}{288}{}\mathrm{i}\right)","Not used",1,"6^(3/4)*atan(6^(1/4)*x*(1/2 - 1i/2))*(1/288 + 1i/288) + 6^(3/4)*atan(6^(1/4)*x*(1/2 + 1i/2))*(1/288 - 1i/288) - x/(36*(x^4 + 2/3))","B"
704,1,46,113,0.121392,"\text{Not used}","int(x^2/(3*x^4 + 2)^2,x)","\frac{x^3}{24\,\left(x^4+\frac{2}{3}\right)}+6^{1/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{96}-\frac{1}{96}{}\mathrm{i}\right)+6^{1/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{96}+\frac{1}{96}{}\mathrm{i}\right)","Not used",1,"6^(1/4)*atan(6^(1/4)*x*(1/2 - 1i/2))*(1/96 - 1i/96) + 6^(1/4)*atan(6^(1/4)*x*(1/2 + 1i/2))*(1/96 + 1i/96) + x^3/(24*(x^4 + 2/3))","B"
705,1,44,131,1.060768,"\text{Not used}","int(1/(3*x^4 + 2)^2,x)","\frac{x}{24\,\left(x^4+\frac{2}{3}\right)}+6^{3/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{64}+\frac{1}{64}{}\mathrm{i}\right)+6^{3/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{64}-\frac{1}{64}{}\mathrm{i}\right)","Not used",1,"6^(3/4)*atan(6^(1/4)*x*(1/2 - 1i/2))*(1/64 + 1i/64) + 6^(3/4)*atan(6^(1/4)*x*(1/2 + 1i/2))*(1/64 - 1i/64) + x/(24*(x^4 + 2/3))","B"
706,1,51,140,1.096995,"\text{Not used}","int(1/(x^2*(3*x^4 + 2)^2),x)","-\frac{\frac{5\,x^4}{16}+\frac{1}{6}}{x^5+\frac{2\,x}{3}}+6^{1/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{5}{64}+\frac{5}{64}{}\mathrm{i}\right)+6^{1/4}\,\mathrm{atan}\left(6^{1/4}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{5}{64}-\frac{5}{64}{}\mathrm{i}\right)","Not used",1,"- 6^(1/4)*atan(6^(1/4)*x*(1/2 - 1i/2))*(5/64 - 5i/64) - 6^(1/4)*atan(6^(1/4)*x*(1/2 + 1i/2))*(5/64 + 5i/64) - ((5*x^4)/16 + 1/6)/((2*x)/3 + x^5)","B"
707,1,45,133,0.114059,"\text{Not used}","int(x^2/(x^4 + 3),x)","\sqrt{2}\,3^{3/4}\,\mathrm{atan}\left(\sqrt{2}\,3^{3/4}\,x\,\left(\frac{1}{6}-\frac{1}{6}{}\mathrm{i}\right)\right)\,\left(\frac{1}{12}-\frac{1}{12}{}\mathrm{i}\right)+\sqrt{2}\,3^{3/4}\,\mathrm{atan}\left(\sqrt{2}\,3^{3/4}\,x\,\left(\frac{1}{6}+\frac{1}{6}{}\mathrm{i}\right)\right)\,\left(\frac{1}{12}+\frac{1}{12}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*3^(3/4)*atan(2^(1/2)*3^(3/4)*x*(1/6 - 1i/6))*(1/12 - 1i/12) + 2^(1/2)*3^(3/4)*atan(2^(1/2)*3^(3/4)*x*(1/6 + 1i/6))*(1/12 + 1i/12)","B"
708,1,543,83,1.183400,"\text{Not used}","int(1/(a + x^4*(a - 1) + 1),x)","\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{x\,\left(4\,a^3-12\,a^2+12\,a-4\right)}{4}-\frac{4\,a^4-8\,a^3+8\,a-4}{4\,{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}\right)\,1{}\mathrm{i}}{{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}+\frac{\left(\frac{x\,\left(4\,a^3-12\,a^2+12\,a-4\right)}{4}+\frac{4\,a^4-8\,a^3+8\,a-4}{4\,{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}\right)\,1{}\mathrm{i}}{{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}}{\frac{\frac{x\,\left(4\,a^3-12\,a^2+12\,a-4\right)}{4}-\frac{4\,a^4-8\,a^3+8\,a-4}{4\,{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}}{{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}-\frac{\frac{x\,\left(4\,a^3-12\,a^2+12\,a-4\right)}{4}+\frac{4\,a^4-8\,a^3+8\,a-4}{4\,{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}}{{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}}\right)\,1{}\mathrm{i}}{2\,{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}+\frac{\mathrm{atan}\left(\frac{\frac{\frac{x\,\left(4\,a^3-12\,a^2+12\,a-4\right)}{4}-\frac{\left(4\,a^4-8\,a^3+8\,a-4\right)\,1{}\mathrm{i}}{4\,{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}}{{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}+\frac{\frac{x\,\left(4\,a^3-12\,a^2+12\,a-4\right)}{4}+\frac{\left(4\,a^4-8\,a^3+8\,a-4\right)\,1{}\mathrm{i}}{4\,{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}}{{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}}{\frac{\left(\frac{x\,\left(4\,a^3-12\,a^2+12\,a-4\right)}{4}-\frac{\left(4\,a^4-8\,a^3+8\,a-4\right)\,1{}\mathrm{i}}{4\,{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}\right)\,1{}\mathrm{i}}{{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}-\frac{\left(\frac{x\,\left(4\,a^3-12\,a^2+12\,a-4\right)}{4}+\frac{\left(4\,a^4-8\,a^3+8\,a-4\right)\,1{}\mathrm{i}}{4\,{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}\right)\,1{}\mathrm{i}}{{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}}\right)}{2\,{\left(1-a\right)}^{1/4}\,{\left(a+1\right)}^{3/4}}","Not used",1,"(atan(((((x*(12*a - 12*a^2 + 4*a^3 - 4))/4 - (8*a - 8*a^3 + 4*a^4 - 4)/(4*(1 - a)^(1/4)*(a + 1)^(3/4)))*1i)/((1 - a)^(1/4)*(a + 1)^(3/4)) + (((x*(12*a - 12*a^2 + 4*a^3 - 4))/4 + (8*a - 8*a^3 + 4*a^4 - 4)/(4*(1 - a)^(1/4)*(a + 1)^(3/4)))*1i)/((1 - a)^(1/4)*(a + 1)^(3/4)))/(((x*(12*a - 12*a^2 + 4*a^3 - 4))/4 - (8*a - 8*a^3 + 4*a^4 - 4)/(4*(1 - a)^(1/4)*(a + 1)^(3/4)))/((1 - a)^(1/4)*(a + 1)^(3/4)) - ((x*(12*a - 12*a^2 + 4*a^3 - 4))/4 + (8*a - 8*a^3 + 4*a^4 - 4)/(4*(1 - a)^(1/4)*(a + 1)^(3/4)))/((1 - a)^(1/4)*(a + 1)^(3/4))))*1i)/(2*(1 - a)^(1/4)*(a + 1)^(3/4)) + atan((((x*(12*a - 12*a^2 + 4*a^3 - 4))/4 - ((8*a - 8*a^3 + 4*a^4 - 4)*1i)/(4*(1 - a)^(1/4)*(a + 1)^(3/4)))/((1 - a)^(1/4)*(a + 1)^(3/4)) + ((x*(12*a - 12*a^2 + 4*a^3 - 4))/4 + ((8*a - 8*a^3 + 4*a^4 - 4)*1i)/(4*(1 - a)^(1/4)*(a + 1)^(3/4)))/((1 - a)^(1/4)*(a + 1)^(3/4)))/((((x*(12*a - 12*a^2 + 4*a^3 - 4))/4 - ((8*a - 8*a^3 + 4*a^4 - 4)*1i)/(4*(1 - a)^(1/4)*(a + 1)^(3/4)))*1i)/((1 - a)^(1/4)*(a + 1)^(3/4)) - (((x*(12*a - 12*a^2 + 4*a^3 - 4))/4 + ((8*a - 8*a^3 + 4*a^4 - 4)*1i)/(4*(1 - a)^(1/4)*(a + 1)^(3/4)))*1i)/((1 - a)^(1/4)*(a + 1)^(3/4))))/(2*(1 - a)^(1/4)*(a + 1)^(3/4))","B"
709,1,121,79,0.123090,"\text{Not used}","int(1/(2*a + 2*b + x^4),x)","\frac{2^{1/4}\,\mathrm{atan}\left(\frac{2^{1/4}\,x}{\left(\frac{\sqrt{2}\,a}{{\left(-a-b\right)}^{3/2}}+\frac{\sqrt{2}\,b}{{\left(-a-b\right)}^{3/2}}\right)\,{\left(-a-b\right)}^{3/4}}\right)}{4\,{\left(-a-b\right)}^{3/4}}+\frac{2^{1/4}\,\mathrm{atanh}\left(\frac{2^{1/4}\,x}{\left(\frac{\sqrt{2}\,a}{{\left(-a-b\right)}^{3/2}}+\frac{\sqrt{2}\,b}{{\left(-a-b\right)}^{3/2}}\right)\,{\left(-a-b\right)}^{3/4}}\right)}{4\,{\left(-a-b\right)}^{3/4}}","Not used",1,"(2^(1/4)*atan((2^(1/4)*x)/(((2^(1/2)*a)/(- a - b)^(3/2) + (2^(1/2)*b)/(- a - b)^(3/2))*(- a - b)^(3/4))))/(4*(- a - b)^(3/4)) + (2^(1/4)*atanh((2^(1/4)*x)/(((2^(1/2)*a)/(- a - b)^(3/2) + (2^(1/2)*b)/(- a - b)^(3/2))*(- a - b)^(3/4))))/(4*(- a - b)^(3/4))","B"
710,1,121,79,0.002095,"\text{Not used}","int(1/(2*a + 2*b + x^4),x)","\frac{2^{1/4}\,\mathrm{atan}\left(\frac{2^{1/4}\,x}{\left(\frac{\sqrt{2}\,a}{{\left(-a-b\right)}^{3/2}}+\frac{\sqrt{2}\,b}{{\left(-a-b\right)}^{3/2}}\right)\,{\left(-a-b\right)}^{3/4}}\right)}{4\,{\left(-a-b\right)}^{3/4}}+\frac{2^{1/4}\,\mathrm{atanh}\left(\frac{2^{1/4}\,x}{\left(\frac{\sqrt{2}\,a}{{\left(-a-b\right)}^{3/2}}+\frac{\sqrt{2}\,b}{{\left(-a-b\right)}^{3/2}}\right)\,{\left(-a-b\right)}^{3/4}}\right)}{4\,{\left(-a-b\right)}^{3/4}}","Not used",1,"(2^(1/4)*atan((2^(1/4)*x)/(((2^(1/2)*a)/(- a - b)^(3/2) + (2^(1/2)*b)/(- a - b)^(3/2))*(- a - b)^(3/4))))/(4*(- a - b)^(3/4)) + (2^(1/4)*atanh((2^(1/4)*x)/(((2^(1/2)*a)/(- a - b)^(3/2) + (2^(1/2)*b)/(- a - b)^(3/2))*(- a - b)^(3/4))))/(4*(- a - b)^(3/4))","B"
711,1,32,33,1.038520,"\text{Not used}","int(x/(2*a + 2*b + x^4),x)","\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,x^2\,\sqrt{a+b}}{2\,a+2\,b}\right)}{4\,\sqrt{a+b}}","Not used",1,"(2^(1/2)*atan((2^(1/2)*x^2*(a + b)^(1/2))/(2*a + 2*b)))/(4*(a + b)^(1/2))","B"
712,1,32,33,0.002120,"\text{Not used}","int(x/(2*a + 2*b + x^4),x)","\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,x^2\,\sqrt{a+b}}{2\,a+2\,b}\right)}{4\,\sqrt{a+b}}","Not used",1,"(2^(1/2)*atan((2^(1/2)*x^2*(a + b)^(1/2))/(2*a + 2*b)))/(4*(a + b)^(1/2))","B"
713,1,53,79,0.129983,"\text{Not used}","int(x^2/(2*a + 2*b + x^4),x)","\frac{8^{1/4}\,\mathrm{atan}\left(\frac{8^{1/4}\,x}{2\,{\left(-a-b\right)}^{1/4}}\right)-8^{1/4}\,\mathrm{atanh}\left(\frac{8^{1/4}\,x}{2\,{\left(-a-b\right)}^{1/4}}\right)}{4\,{\left(-a-b\right)}^{1/4}}","Not used",1,"(8^(1/4)*atan((8^(1/4)*x)/(2*(- a - b)^(1/4))) - 8^(1/4)*atanh((8^(1/4)*x)/(2*(- a - b)^(1/4))))/(4*(- a - b)^(1/4))","B"
714,1,53,79,0.002255,"\text{Not used}","int(x^2/(2*a + 2*b + x^4),x)","\frac{8^{1/4}\,\mathrm{atan}\left(\frac{8^{1/4}\,x}{2\,{\left(-a-b\right)}^{1/4}}\right)-8^{1/4}\,\mathrm{atanh}\left(\frac{8^{1/4}\,x}{2\,{\left(-a-b\right)}^{1/4}}\right)}{4\,{\left(-a-b\right)}^{1/4}}","Not used",1,"(8^(1/4)*atan((8^(1/4)*x)/(2*(- a - b)^(1/4))) - 8^(1/4)*atanh((8^(1/4)*x)/(2*(- a - b)^(1/4))))/(4*(- a - b)^(1/4))","B"
715,1,13,14,0.037955,"\text{Not used}","int(x^3/(2*a + 2*b + x^4),x)","\frac{\ln\left(x^4+2\,a+2\,b\right)}{4}","Not used",1,"log(2*a + 2*b + x^4)/4","B"
716,1,13,14,0.002361,"\text{Not used}","int(x^3/(2*a + 2*b + x^4),x)","\frac{\ln\left(x^4+2\,a+2\,b\right)}{4}","Not used",1,"log(2*a + 2*b + x^4)/4","B"
717,1,15,21,1.045813,"\text{Not used}","int(x^(5/2)*(a + c*x^4),x)","\frac{2\,x^{7/2}\,\left(7\,c\,x^4+15\,a\right)}{105}","Not used",1,"(2*x^(7/2)*(15*a + 7*c*x^4))/105","B"
718,1,15,21,0.026511,"\text{Not used}","int(x^(3/2)*(a + c*x^4),x)","\frac{2\,x^{5/2}\,\left(5\,c\,x^4+13\,a\right)}{65}","Not used",1,"(2*x^(5/2)*(13*a + 5*c*x^4))/65","B"
719,1,15,21,0.026484,"\text{Not used}","int(x^(1/2)*(a + c*x^4),x)","\frac{2\,x^{3/2}\,\left(3\,c\,x^4+11\,a\right)}{33}","Not used",1,"(2*x^(3/2)*(11*a + 3*c*x^4))/33","B"
720,1,14,19,0.027930,"\text{Not used}","int((a + c*x^4)/x^(1/2),x)","\frac{2\,\sqrt{x}\,\left(c\,x^4+9\,a\right)}{9}","Not used",1,"(2*x^(1/2)*(9*a + c*x^4))/9","B"
721,1,15,19,0.027402,"\text{Not used}","int((a + c*x^4)/x^(3/2),x)","-\frac{14\,a-2\,c\,x^4}{7\,\sqrt{x}}","Not used",1,"-(14*a - 2*c*x^4)/(7*x^(1/2))","B"
722,1,15,21,0.027646,"\text{Not used}","int((a + c*x^4)/x^(5/2),x)","-\frac{10\,a-6\,c\,x^4}{15\,x^{3/2}}","Not used",1,"-(10*a - 6*c*x^4)/(15*x^(3/2))","B"
723,1,15,21,0.028032,"\text{Not used}","int((a + c*x^4)/x^(7/2),x)","-\frac{6\,a-10\,c\,x^4}{15\,x^{5/2}}","Not used",1,"-(6*a - 10*c*x^4)/(15*x^(5/2))","B"
724,1,25,36,1.020641,"\text{Not used}","int(x^(5/2)*(a + c*x^4)^2,x)","x^{7/2}\,\left(\frac{2\,a^2}{7}+\frac{4\,a\,c\,x^4}{15}+\frac{2\,c^2\,x^8}{23}\right)","Not used",1,"x^(7/2)*((2*a^2)/7 + (2*c^2*x^8)/23 + (4*a*c*x^4)/15)","B"
725,1,26,36,0.035002,"\text{Not used}","int(x^(3/2)*(a + c*x^4)^2,x)","\frac{2\,x^{5/2}\,\left(273\,a^2+210\,a\,c\,x^4+65\,c^2\,x^8\right)}{1365}","Not used",1,"(2*x^(5/2)*(273*a^2 + 65*c^2*x^8 + 210*a*c*x^4))/1365","B"
726,1,26,36,1.056714,"\text{Not used}","int(x^(1/2)*(a + c*x^4)^2,x)","\frac{2\,x^{3/2}\,\left(209\,a^2+114\,a\,c\,x^4+33\,c^2\,x^8\right)}{627}","Not used",1,"(2*x^(3/2)*(209*a^2 + 33*c^2*x^8 + 114*a*c*x^4))/627","B"
727,1,26,34,0.035484,"\text{Not used}","int((a + c*x^4)^2/x^(1/2),x)","\frac{2\,\sqrt{x}\,\left(153\,a^2+34\,a\,c\,x^4+9\,c^2\,x^8\right)}{153}","Not used",1,"(2*x^(1/2)*(153*a^2 + 9*c^2*x^8 + 34*a*c*x^4))/153","B"
728,1,25,34,0.035832,"\text{Not used}","int((a + c*x^4)^2/x^(3/2),x)","\frac{-2\,a^2+\frac{4\,a\,c\,x^4}{7}+\frac{2\,c^2\,x^8}{15}}{\sqrt{x}}","Not used",1,"((2*c^2*x^8)/15 - 2*a^2 + (4*a*c*x^4)/7)/x^(1/2)","B"
729,1,26,36,0.035944,"\text{Not used}","int((a + c*x^4)^2/x^(5/2),x)","\frac{-130\,a^2+156\,a\,c\,x^4+30\,c^2\,x^8}{195\,x^{3/2}}","Not used",1,"(30*c^2*x^8 - 130*a^2 + 156*a*c*x^4)/(195*x^(3/2))","B"
730,1,26,36,0.035998,"\text{Not used}","int((a + c*x^4)^2/x^(7/2),x)","\frac{-66\,a^2+220\,a\,c\,x^4+30\,c^2\,x^8}{165\,x^{5/2}}","Not used",1,"(30*c^2*x^8 - 66*a^2 + 220*a*c*x^4)/(165*x^(5/2))","B"
731,1,35,51,0.044136,"\text{Not used}","int(x^(5/2)*(a + c*x^4)^3,x)","\frac{2\,a^3\,x^{7/2}}{7}+\frac{2\,c^3\,x^{31/2}}{31}+\frac{2\,a^2\,c\,x^{15/2}}{5}+\frac{6\,a\,c^2\,x^{23/2}}{23}","Not used",1,"(2*a^3*x^(7/2))/7 + (2*c^3*x^(31/2))/31 + (2*a^2*c*x^(15/2))/5 + (6*a*c^2*x^(23/2))/23","B"
732,1,35,51,0.041771,"\text{Not used}","int(x^(3/2)*(a + c*x^4)^3,x)","\frac{2\,a^3\,x^{5/2}}{5}+\frac{2\,c^3\,x^{29/2}}{29}+\frac{6\,a^2\,c\,x^{13/2}}{13}+\frac{2\,a\,c^2\,x^{21/2}}{7}","Not used",1,"(2*a^3*x^(5/2))/5 + (2*c^3*x^(29/2))/29 + (6*a^2*c*x^(13/2))/13 + (2*a*c^2*x^(21/2))/7","B"
733,1,35,51,0.043096,"\text{Not used}","int(x^(1/2)*(a + c*x^4)^3,x)","\frac{2\,a^3\,x^{3/2}}{3}+\frac{2\,c^3\,x^{27/2}}{27}+\frac{6\,a^2\,c\,x^{11/2}}{11}+\frac{6\,a\,c^2\,x^{19/2}}{19}","Not used",1,"(2*a^3*x^(3/2))/3 + (2*c^3*x^(27/2))/27 + (6*a^2*c*x^(11/2))/11 + (6*a*c^2*x^(19/2))/19","B"
734,1,35,49,0.042716,"\text{Not used}","int((a + c*x^4)^3/x^(1/2),x)","2\,a^3\,\sqrt{x}+\frac{2\,c^3\,x^{25/2}}{25}+\frac{2\,a^2\,c\,x^{9/2}}{3}+\frac{6\,a\,c^2\,x^{17/2}}{17}","Not used",1,"2*a^3*x^(1/2) + (2*c^3*x^(25/2))/25 + (2*a^2*c*x^(9/2))/3 + (6*a*c^2*x^(17/2))/17","B"
735,1,35,49,0.046356,"\text{Not used}","int((a + c*x^4)^3/x^(3/2),x)","\frac{2\,c^3\,x^{23/2}}{23}-\frac{2\,a^3}{\sqrt{x}}+\frac{6\,a^2\,c\,x^{7/2}}{7}+\frac{2\,a\,c^2\,x^{15/2}}{5}","Not used",1,"(2*c^3*x^(23/2))/23 - (2*a^3)/x^(1/2) + (6*a^2*c*x^(7/2))/7 + (2*a*c^2*x^(15/2))/5","B"
736,1,35,51,0.044937,"\text{Not used}","int((a + c*x^4)^3/x^(5/2),x)","\frac{2\,c^3\,x^{21/2}}{21}-\frac{2\,a^3}{3\,x^{3/2}}+\frac{6\,a^2\,c\,x^{5/2}}{5}+\frac{6\,a\,c^2\,x^{13/2}}{13}","Not used",1,"(2*c^3*x^(21/2))/21 - (2*a^3)/(3*x^(3/2)) + (6*a^2*c*x^(5/2))/5 + (6*a*c^2*x^(13/2))/13","B"
737,1,35,49,0.044794,"\text{Not used}","int((a + c*x^4)^3/x^(7/2),x)","\frac{2\,c^3\,x^{19/2}}{19}-\frac{2\,a^3}{5\,x^{5/2}}+2\,a^2\,c\,x^{3/2}+\frac{6\,a\,c^2\,x^{11/2}}{11}","Not used",1,"(2*c^3*x^(19/2))/19 - (2*a^3)/(5*x^(5/2)) + 2*a^2*c*x^(3/2) + (6*a*c^2*x^(11/2))/11","B"
738,1,126,299,1.106545,"\text{Not used}","int(x^(9/2)/(a + c*x^4),x)","\frac{2\,x^{3/2}}{3\,c}+\frac{{\left(-a\right)}^{3/8}\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{2\,c^{11/8}}+\frac{{\left(-a\right)}^{3/8}\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,1{}\mathrm{i}}{2\,c^{11/8}}+\frac{\sqrt{2}\,{\left(-a\right)}^{3/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}{c^{11/8}}+\frac{\sqrt{2}\,{\left(-a\right)}^{3/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}{c^{11/8}}","Not used",1,"(2*x^(3/2))/(3*c) + ((-a)^(3/8)*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(2*c^(11/8)) + ((-a)^(3/8)*atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*1i)/(2*c^(11/8)) - (2^(1/2)*(-a)^(3/8)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(1/4 - 1i/4))/c^(11/8) - (2^(1/2)*(-a)^(3/8)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(1/4 + 1i/4))/c^(11/8)","B"
739,1,126,297,1.100216,"\text{Not used}","int(x^(7/2)/(a + c*x^4),x)","\frac{2\,\sqrt{x}}{c}-\frac{{\left(-a\right)}^{1/8}\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{2\,c^{9/8}}+\frac{{\left(-a\right)}^{1/8}\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,1{}\mathrm{i}}{2\,c^{9/8}}+\frac{\sqrt{2}\,{\left(-a\right)}^{1/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}{c^{9/8}}+\frac{\sqrt{2}\,{\left(-a\right)}^{1/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}{c^{9/8}}","Not used",1,"(2*x^(1/2))/c - ((-a)^(1/8)*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(2*c^(9/8)) + ((-a)^(1/8)*atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*1i)/(2*c^(9/8)) - (2^(1/2)*(-a)^(1/8)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(1/4 + 1i/4))/c^(9/8) - (2^(1/2)*(-a)^(1/8)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(1/4 - 1i/4))/c^(9/8)","B"
740,1,118,287,1.112512,"\text{Not used}","int(x^(5/2)/(a + c*x^4),x)","\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{2\,{\left(-a\right)}^{1/8}\,c^{7/8}}+\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,1{}\mathrm{i}}{2\,{\left(-a\right)}^{1/8}\,c^{7/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}\,c^{7/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}\,c^{7/8}}","Not used",1,"atan((c^(1/8)*x^(1/2))/(-a)^(1/8))/(2*(-a)^(1/8)*c^(7/8)) + (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*1i)/(2*(-a)^(1/8)*c^(7/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(1/4 - 1i/4))/((-a)^(1/8)*c^(7/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(1/4 + 1i/4))/((-a)^(1/8)*c^(7/8))","B"
741,1,118,287,1.108898,"\text{Not used}","int(x^(3/2)/(a + c*x^4),x)","-\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{2\,{\left(-a\right)}^{3/8}\,c^{5/8}}+\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,1{}\mathrm{i}}{2\,{\left(-a\right)}^{3/8}\,c^{5/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}{{\left(-a\right)}^{3/8}\,c^{5/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}{{\left(-a\right)}^{3/8}\,c^{5/8}}","Not used",1,"(atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*1i)/(2*(-a)^(3/8)*c^(5/8)) - atan((c^(1/8)*x^(1/2))/(-a)^(1/8))/(2*(-a)^(3/8)*c^(5/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(1/4 + 1i/4))/((-a)^(3/8)*c^(5/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(1/4 - 1i/4))/((-a)^(3/8)*c^(5/8))","B"
742,1,118,287,0.128956,"\text{Not used}","int(x^(1/2)/(a + c*x^4),x)","\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{2\,{\left(-a\right)}^{5/8}\,c^{3/8}}+\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,1{}\mathrm{i}}{2\,{\left(-a\right)}^{5/8}\,c^{3/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}{{\left(-a\right)}^{5/8}\,c^{3/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}{{\left(-a\right)}^{5/8}\,c^{3/8}}","Not used",1,"atan((c^(1/8)*x^(1/2))/(-a)^(1/8))/(2*(-a)^(5/8)*c^(3/8)) + (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*1i)/(2*(-a)^(5/8)*c^(3/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(1/4 - 1i/4))/((-a)^(5/8)*c^(3/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(1/4 + 1i/4))/((-a)^(5/8)*c^(3/8))","B"
743,1,118,287,1.098250,"\text{Not used}","int(1/(x^(1/2)*(a + c*x^4)),x)","-\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{2\,{\left(-a\right)}^{7/8}\,c^{1/8}}+\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,1{}\mathrm{i}}{2\,{\left(-a\right)}^{7/8}\,c^{1/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}{{\left(-a\right)}^{7/8}\,c^{1/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}{{\left(-a\right)}^{7/8}\,c^{1/8}}","Not used",1,"(atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*1i)/(2*(-a)^(7/8)*c^(1/8)) - atan((c^(1/8)*x^(1/2))/(-a)^(1/8))/(2*(-a)^(7/8)*c^(1/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(1/4 + 1i/4))/((-a)^(7/8)*c^(1/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(1/4 - 1i/4))/((-a)^(7/8)*c^(1/8))","B"
744,1,126,297,1.089657,"\text{Not used}","int(1/(x^(3/2)*(a + c*x^4)),x)","-\frac{2}{a\,\sqrt{x}}-\frac{{\left(-c\right)}^{1/8}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/8}\,\sqrt{x}}{a^{1/8}}\right)}{2\,a^{9/8}}-\frac{{\left(-c\right)}^{1/8}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{a^{1/8}}\right)\,1{}\mathrm{i}}{2\,a^{9/8}}+\frac{\sqrt{2}\,{\left(-c\right)}^{1/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-c\right)}^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}{a^{9/8}}+\frac{\sqrt{2}\,{\left(-c\right)}^{1/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-c\right)}^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}{a^{9/8}}","Not used",1,"- 2/(a*x^(1/2)) - ((-c)^(1/8)*atan(((-c)^(1/8)*x^(1/2))/a^(1/8)))/(2*a^(9/8)) - ((-c)^(1/8)*atan(((-c)^(1/8)*x^(1/2)*1i)/a^(1/8))*1i)/(2*a^(9/8)) - (2^(1/2)*(-c)^(1/8)*atan((2^(1/2)*(-c)^(1/8)*x^(1/2)*(1/2 - 1i/2))/a^(1/8))*(1/4 - 1i/4))/a^(9/8) - (2^(1/2)*(-c)^(1/8)*atan((2^(1/2)*(-c)^(1/8)*x^(1/2)*(1/2 + 1i/2))/a^(1/8))*(1/4 + 1i/4))/a^(9/8)","B"
745,1,126,299,1.082406,"\text{Not used}","int(1/(x^(5/2)*(a + c*x^4)),x)","\frac{{\left(-c\right)}^{3/8}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/8}\,\sqrt{x}}{a^{1/8}}\right)}{2\,a^{11/8}}-\frac{2}{3\,a\,x^{3/2}}-\frac{{\left(-c\right)}^{3/8}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{a^{1/8}}\right)\,1{}\mathrm{i}}{2\,a^{11/8}}+\frac{\sqrt{2}\,{\left(-c\right)}^{3/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-c\right)}^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}{a^{11/8}}+\frac{\sqrt{2}\,{\left(-c\right)}^{3/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-c\right)}^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}{a^{11/8}}","Not used",1,"((-c)^(3/8)*atan(((-c)^(1/8)*x^(1/2))/a^(1/8)))/(2*a^(11/8)) - 2/(3*a*x^(3/2)) - ((-c)^(3/8)*atan(((-c)^(1/8)*x^(1/2)*1i)/a^(1/8))*1i)/(2*a^(11/8)) - (2^(1/2)*(-c)^(3/8)*atan((2^(1/2)*(-c)^(1/8)*x^(1/2)*(1/2 - 1i/2))/a^(1/8))*(1/4 + 1i/4))/a^(11/8) - (2^(1/2)*(-c)^(3/8)*atan((2^(1/2)*(-c)^(1/8)*x^(1/2)*(1/2 + 1i/2))/a^(1/8))*(1/4 - 1i/4))/a^(11/8)","B"
746,1,135,308,0.145405,"\text{Not used}","int(x^(13/2)/(a + c*x^4)^2,x)","\frac{7\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{16\,{\left(-a\right)}^{1/8}\,c^{15/8}}-\frac{x^{7/2}}{4\,c\,\left(c\,x^4+a\right)}+\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,7{}\mathrm{i}}{16\,{\left(-a\right)}^{1/8}\,c^{15/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{7}{32}-\frac{7}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}\,c^{15/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{7}{32}+\frac{7}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}\,c^{15/8}}","Not used",1,"(7*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(16*(-a)^(1/8)*c^(15/8)) - x^(7/2)/(4*c*(a + c*x^4)) + (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*7i)/(16*(-a)^(1/8)*c^(15/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(7/32 - 7i/32))/((-a)^(1/8)*c^(15/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(7/32 + 7i/32))/((-a)^(1/8)*c^(15/8))","B"
747,1,135,308,1.087964,"\text{Not used}","int(x^(11/2)/(a + c*x^4)^2,x)","-\frac{x^{5/2}}{4\,c\,\left(c\,x^4+a\right)}-\frac{5\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{16\,{\left(-a\right)}^{3/8}\,c^{13/8}}+\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,5{}\mathrm{i}}{16\,{\left(-a\right)}^{3/8}\,c^{13/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{5}{32}+\frac{5}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{3/8}\,c^{13/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{5}{32}-\frac{5}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{3/8}\,c^{13/8}}","Not used",1,"(atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*5i)/(16*(-a)^(3/8)*c^(13/8)) - (5*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(16*(-a)^(3/8)*c^(13/8)) - x^(5/2)/(4*c*(a + c*x^4)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(5/32 + 5i/32))/((-a)^(3/8)*c^(13/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(5/32 - 5i/32))/((-a)^(3/8)*c^(13/8))","B"
748,1,135,308,1.057060,"\text{Not used}","int(x^(9/2)/(a + c*x^4)^2,x)","\frac{3\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{16\,{\left(-a\right)}^{5/8}\,c^{11/8}}-\frac{x^{3/2}}{4\,c\,\left(c\,x^4+a\right)}+\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,3{}\mathrm{i}}{16\,{\left(-a\right)}^{5/8}\,c^{11/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{3}{32}+\frac{3}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{5/8}\,c^{11/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{3}{32}-\frac{3}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{5/8}\,c^{11/8}}","Not used",1,"(3*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(16*(-a)^(5/8)*c^(11/8)) - x^(3/2)/(4*c*(a + c*x^4)) + (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*3i)/(16*(-a)^(5/8)*c^(11/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(3/32 - 3i/32))/((-a)^(5/8)*c^(11/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(3/32 + 3i/32))/((-a)^(5/8)*c^(11/8))","B"
749,1,135,308,1.071463,"\text{Not used}","int(x^(7/2)/(a + c*x^4)^2,x)","-\frac{\sqrt{x}}{4\,c\,\left(c\,x^4+a\right)}-\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{16\,{\left(-a\right)}^{7/8}\,c^{9/8}}+\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,1{}\mathrm{i}}{16\,{\left(-a\right)}^{7/8}\,c^{9/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{32}-\frac{1}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{7/8}\,c^{9/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{32}+\frac{1}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{7/8}\,c^{9/8}}","Not used",1,"(atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*1i)/(16*(-a)^(7/8)*c^(9/8)) - atan((c^(1/8)*x^(1/2))/(-a)^(1/8))/(16*(-a)^(7/8)*c^(9/8)) - x^(1/2)/(4*c*(a + c*x^4)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(1/32 + 1i/32))/((-a)^(7/8)*c^(9/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(1/32 - 1i/32))/((-a)^(7/8)*c^(9/8))","B"
750,1,135,308,0.134038,"\text{Not used}","int(x^(5/2)/(a + c*x^4)^2,x)","\frac{x^{7/2}}{4\,a\,\left(c\,x^4+a\right)}-\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{16\,{\left(-a\right)}^{9/8}\,c^{7/8}}-\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,1{}\mathrm{i}}{16\,{\left(-a\right)}^{9/8}\,c^{7/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{32}+\frac{1}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{9/8}\,c^{7/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{32}-\frac{1}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{9/8}\,c^{7/8}}","Not used",1,"x^(7/2)/(4*a*(a + c*x^4)) - atan((c^(1/8)*x^(1/2))/(-a)^(1/8))/(16*(-a)^(9/8)*c^(7/8)) - (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*1i)/(16*(-a)^(9/8)*c^(7/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(1/32 - 1i/32))/((-a)^(9/8)*c^(7/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(1/32 + 1i/32))/((-a)^(9/8)*c^(7/8))","B"
751,1,135,308,1.093359,"\text{Not used}","int(x^(3/2)/(a + c*x^4)^2,x)","\frac{x^{5/2}}{4\,a\,\left(c\,x^4+a\right)}+\frac{3\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{16\,{\left(-a\right)}^{11/8}\,c^{5/8}}-\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,3{}\mathrm{i}}{16\,{\left(-a\right)}^{11/8}\,c^{5/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{3}{32}-\frac{3}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{11/8}\,c^{5/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{3}{32}+\frac{3}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{11/8}\,c^{5/8}}","Not used",1,"x^(5/2)/(4*a*(a + c*x^4)) + (3*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(16*(-a)^(11/8)*c^(5/8)) - (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*3i)/(16*(-a)^(11/8)*c^(5/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(3/32 + 3i/32))/((-a)^(11/8)*c^(5/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(3/32 - 3i/32))/((-a)^(11/8)*c^(5/8))","B"
752,1,135,308,0.139907,"\text{Not used}","int(x^(1/2)/(a + c*x^4)^2,x)","\frac{x^{3/2}}{4\,a\,\left(c\,x^4+a\right)}-\frac{5\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{16\,{\left(-a\right)}^{13/8}\,c^{3/8}}-\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,5{}\mathrm{i}}{16\,{\left(-a\right)}^{13/8}\,c^{3/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{5}{32}-\frac{5}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{13/8}\,c^{3/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{5}{32}+\frac{5}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{13/8}\,c^{3/8}}","Not used",1,"x^(3/2)/(4*a*(a + c*x^4)) - (5*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(16*(-a)^(13/8)*c^(3/8)) - (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*5i)/(16*(-a)^(13/8)*c^(3/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(5/32 - 5i/32))/((-a)^(13/8)*c^(3/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(5/32 + 5i/32))/((-a)^(13/8)*c^(3/8))","B"
753,1,135,308,0.128626,"\text{Not used}","int(1/(x^(1/2)*(a + c*x^4)^2),x)","\frac{\sqrt{x}}{4\,a\,\left(c\,x^4+a\right)}+\frac{7\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{16\,{\left(-a\right)}^{15/8}\,c^{1/8}}-\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,7{}\mathrm{i}}{16\,{\left(-a\right)}^{15/8}\,c^{1/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{7}{32}+\frac{7}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{15/8}\,c^{1/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{7}{32}-\frac{7}{32}{}\mathrm{i}\right)}{{\left(-a\right)}^{15/8}\,c^{1/8}}","Not used",1,"x^(1/2)/(4*a*(a + c*x^4)) + (7*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(16*(-a)^(15/8)*c^(1/8)) - (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*7i)/(16*(-a)^(15/8)*c^(1/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(7/32 + 7i/32))/((-a)^(15/8)*c^(1/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(7/32 - 7i/32))/((-a)^(15/8)*c^(1/8))","B"
754,1,148,320,1.144860,"\text{Not used}","int(1/(x^(3/2)*(a + c*x^4)^2),x)","-\frac{\frac{2}{a}+\frac{9\,c\,x^4}{4\,a^2}}{a\,\sqrt{x}+c\,x^{9/2}}-\frac{9\,{\left(-c\right)}^{1/8}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/8}\,\sqrt{x}}{a^{1/8}}\right)}{16\,a^{17/8}}-\frac{{\left(-c\right)}^{1/8}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{a^{1/8}}\right)\,9{}\mathrm{i}}{16\,a^{17/8}}+\frac{\sqrt{2}\,{\left(-c\right)}^{1/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-c\right)}^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(-\frac{9}{32}+\frac{9}{32}{}\mathrm{i}\right)}{a^{17/8}}+\frac{\sqrt{2}\,{\left(-c\right)}^{1/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-c\right)}^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(-\frac{9}{32}-\frac{9}{32}{}\mathrm{i}\right)}{a^{17/8}}","Not used",1,"- (2/a + (9*c*x^4)/(4*a^2))/(a*x^(1/2) + c*x^(9/2)) - (9*(-c)^(1/8)*atan(((-c)^(1/8)*x^(1/2))/a^(1/8)))/(16*a^(17/8)) - ((-c)^(1/8)*atan(((-c)^(1/8)*x^(1/2)*1i)/a^(1/8))*9i)/(16*a^(17/8)) - (2^(1/2)*(-c)^(1/8)*atan((2^(1/2)*(-c)^(1/8)*x^(1/2)*(1/2 - 1i/2))/a^(1/8))*(9/32 - 9i/32))/a^(17/8) - (2^(1/2)*(-c)^(1/8)*atan((2^(1/2)*(-c)^(1/8)*x^(1/2)*(1/2 + 1i/2))/a^(1/8))*(9/32 + 9i/32))/a^(17/8)","B"
755,1,158,329,1.136369,"\text{Not used}","int(x^(15/2)/(a + c*x^4)^3,x)","-\frac{\frac{17\,x^{9/2}}{64\,c}+\frac{9\,a\,\sqrt{x}}{64\,c^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}-\frac{9\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{256\,{\left(-a\right)}^{7/8}\,c^{17/8}}+\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,9{}\mathrm{i}}{256\,{\left(-a\right)}^{7/8}\,c^{17/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{9}{512}-\frac{9}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{7/8}\,c^{17/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{9}{512}+\frac{9}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{7/8}\,c^{17/8}}","Not used",1,"(atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*9i)/(256*(-a)^(7/8)*c^(17/8)) - (9*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(256*(-a)^(7/8)*c^(17/8)) - ((17*x^(9/2))/(64*c) + (9*a*x^(1/2))/(64*c^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(9/512 + 9i/512))/((-a)^(7/8)*c^(17/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(9/512 - 9i/512))/((-a)^(7/8)*c^(17/8))","B"
756,1,156,332,0.146894,"\text{Not used}","int(x^(13/2)/(a + c*x^4)^3,x)","\frac{\frac{7\,x^{15/2}}{64\,a}-\frac{x^{7/2}}{64\,c}}{a^2+2\,a\,c\,x^4+c^2\,x^8}-\frac{7\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{256\,{\left(-a\right)}^{9/8}\,c^{15/8}}-\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,7{}\mathrm{i}}{256\,{\left(-a\right)}^{9/8}\,c^{15/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{7}{512}+\frac{7}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{9/8}\,c^{15/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{7}{512}-\frac{7}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{9/8}\,c^{15/8}}","Not used",1,"((7*x^(15/2))/(64*a) - x^(7/2)/(64*c))/(a^2 + c^2*x^8 + 2*a*c*x^4) - (7*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(256*(-a)^(9/8)*c^(15/8)) - (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*7i)/(256*(-a)^(9/8)*c^(15/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(7/512 - 7i/512))/((-a)^(9/8)*c^(15/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(7/512 + 7i/512))/((-a)^(9/8)*c^(15/8))","B"
757,1,156,332,1.127227,"\text{Not used}","int(x^(11/2)/(a + c*x^4)^3,x)","\frac{\frac{5\,x^{13/2}}{64\,a}-\frac{3\,x^{5/2}}{64\,c}}{a^2+2\,a\,c\,x^4+c^2\,x^8}+\frac{15\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{256\,{\left(-a\right)}^{11/8}\,c^{13/8}}-\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,15{}\mathrm{i}}{256\,{\left(-a\right)}^{11/8}\,c^{13/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{15}{512}-\frac{15}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{11/8}\,c^{13/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{15}{512}+\frac{15}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{11/8}\,c^{13/8}}","Not used",1,"((5*x^(13/2))/(64*a) - (3*x^(5/2))/(64*c))/(a^2 + c^2*x^8 + 2*a*c*x^4) + (15*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(256*(-a)^(11/8)*c^(13/8)) - (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*15i)/(256*(-a)^(11/8)*c^(13/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(15/512 + 15i/512))/((-a)^(11/8)*c^(13/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(15/512 - 15i/512))/((-a)^(11/8)*c^(13/8))","B"
758,1,156,332,1.081732,"\text{Not used}","int(x^(9/2)/(a + c*x^4)^3,x)","\frac{\frac{3\,x^{11/2}}{64\,a}-\frac{5\,x^{3/2}}{64\,c}}{a^2+2\,a\,c\,x^4+c^2\,x^8}-\frac{15\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{256\,{\left(-a\right)}^{13/8}\,c^{11/8}}-\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,15{}\mathrm{i}}{256\,{\left(-a\right)}^{13/8}\,c^{11/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{15}{512}-\frac{15}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{13/8}\,c^{11/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{15}{512}+\frac{15}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{13/8}\,c^{11/8}}","Not used",1,"((3*x^(11/2))/(64*a) - (5*x^(3/2))/(64*c))/(a^2 + c^2*x^8 + 2*a*c*x^4) - (15*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(256*(-a)^(13/8)*c^(11/8)) - (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*15i)/(256*(-a)^(13/8)*c^(11/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(15/512 - 15i/512))/((-a)^(13/8)*c^(11/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(15/512 + 15i/512))/((-a)^(13/8)*c^(11/8))","B"
759,1,156,332,1.098747,"\text{Not used}","int(x^(7/2)/(a + c*x^4)^3,x)","\frac{\frac{x^{9/2}}{64\,a}-\frac{7\,\sqrt{x}}{64\,c}}{a^2+2\,a\,c\,x^4+c^2\,x^8}+\frac{7\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{256\,{\left(-a\right)}^{15/8}\,c^{9/8}}-\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,7{}\mathrm{i}}{256\,{\left(-a\right)}^{15/8}\,c^{9/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{7}{512}+\frac{7}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{15/8}\,c^{9/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{7}{512}-\frac{7}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{15/8}\,c^{9/8}}","Not used",1,"(x^(9/2)/(64*a) - (7*x^(1/2))/(64*c))/(a^2 + c^2*x^8 + 2*a*c*x^4) + (7*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(256*(-a)^(15/8)*c^(9/8)) - (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*7i)/(256*(-a)^(15/8)*c^(9/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(7/512 + 7i/512))/((-a)^(15/8)*c^(9/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(7/512 - 7i/512))/((-a)^(15/8)*c^(9/8))","B"
760,1,157,329,1.095860,"\text{Not used}","int(x^(5/2)/(a + c*x^4)^3,x)","\frac{\frac{17\,x^{7/2}}{64\,a}+\frac{9\,c\,x^{15/2}}{64\,a^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}+\frac{9\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{256\,{\left(-a\right)}^{17/8}\,c^{7/8}}+\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,9{}\mathrm{i}}{256\,{\left(-a\right)}^{17/8}\,c^{7/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{9}{512}-\frac{9}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{17/8}\,c^{7/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{9}{512}+\frac{9}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{17/8}\,c^{7/8}}","Not used",1,"((17*x^(7/2))/(64*a) + (9*c*x^(15/2))/(64*a^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) + (9*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(256*(-a)^(17/8)*c^(7/8)) + (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*9i)/(256*(-a)^(17/8)*c^(7/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(9/512 - 9i/512))/((-a)^(17/8)*c^(7/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(9/512 + 9i/512))/((-a)^(17/8)*c^(7/8))","B"
761,1,157,329,0.139645,"\text{Not used}","int(x^(3/2)/(a + c*x^4)^3,x)","\frac{\frac{19\,x^{5/2}}{64\,a}+\frac{11\,c\,x^{13/2}}{64\,a^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}-\frac{33\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{256\,{\left(-a\right)}^{19/8}\,c^{5/8}}+\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,33{}\mathrm{i}}{256\,{\left(-a\right)}^{19/8}\,c^{5/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{33}{512}+\frac{33}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{19/8}\,c^{5/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{33}{512}-\frac{33}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{19/8}\,c^{5/8}}","Not used",1,"((19*x^(5/2))/(64*a) + (11*c*x^(13/2))/(64*a^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) - (33*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(256*(-a)^(19/8)*c^(5/8)) + (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*33i)/(256*(-a)^(19/8)*c^(5/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(33/512 + 33i/512))/((-a)^(19/8)*c^(5/8)) + (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(33/512 - 33i/512))/((-a)^(19/8)*c^(5/8))","B"
762,1,157,329,1.078250,"\text{Not used}","int(x^(1/2)/(a + c*x^4)^3,x)","\frac{\frac{21\,x^{3/2}}{64\,a}+\frac{13\,c\,x^{11/2}}{64\,a^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}+\frac{65\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{256\,{\left(-a\right)}^{21/8}\,c^{3/8}}+\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,65{}\mathrm{i}}{256\,{\left(-a\right)}^{21/8}\,c^{3/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{65}{512}+\frac{65}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{21/8}\,c^{3/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{65}{512}-\frac{65}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{21/8}\,c^{3/8}}","Not used",1,"((21*x^(3/2))/(64*a) + (13*c*x^(11/2))/(64*a^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) + (65*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(256*(-a)^(21/8)*c^(3/8)) + (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*65i)/(256*(-a)^(21/8)*c^(3/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(65/512 - 65i/512))/((-a)^(21/8)*c^(3/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(65/512 + 65i/512))/((-a)^(21/8)*c^(3/8))","B"
763,1,157,329,0.142761,"\text{Not used}","int(1/(x^(1/2)*(a + c*x^4)^3),x)","\frac{\frac{23\,\sqrt{x}}{64\,a}+\frac{15\,c\,x^{9/2}}{64\,a^2}}{a^2+2\,a\,c\,x^4+c^2\,x^8}-\frac{105\,\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}}{{\left(-a\right)}^{1/8}}\right)}{256\,{\left(-a\right)}^{23/8}\,c^{1/8}}+\frac{\mathrm{atan}\left(\frac{c^{1/8}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,105{}\mathrm{i}}{256\,{\left(-a\right)}^{23/8}\,c^{1/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{105}{512}-\frac{105}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{23/8}\,c^{1/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,c^{1/8}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{105}{512}+\frac{105}{512}{}\mathrm{i}\right)}{{\left(-a\right)}^{23/8}\,c^{1/8}}","Not used",1,"((23*x^(1/2))/(64*a) + (15*c*x^(9/2))/(64*a^2))/(a^2 + c^2*x^8 + 2*a*c*x^4) - (105*atan((c^(1/8)*x^(1/2))/(-a)^(1/8)))/(256*(-a)^(23/8)*c^(1/8)) + (atan((c^(1/8)*x^(1/2)*1i)/(-a)^(1/8))*105i)/(256*(-a)^(23/8)*c^(1/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 - 1i/2))/(-a)^(1/8))*(105/512 + 105i/512))/((-a)^(23/8)*c^(1/8)) - (2^(1/2)*atan((2^(1/2)*c^(1/8)*x^(1/2)*(1/2 + 1i/2))/(-a)^(1/8))*(105/512 - 105i/512))/((-a)^(23/8)*c^(1/8))","B"
764,1,44,59,1.172068,"\text{Not used}","int(x^11*(a + c*x^4)^(1/2),x)","\sqrt{c\,x^4+a}\,\left(\frac{x^{12}}{14}+\frac{4\,a^3}{105\,c^3}+\frac{a\,x^8}{70\,c}-\frac{2\,a^2\,x^4}{105\,c^2}\right)","Not used",1,"(a + c*x^4)^(1/2)*(x^12/14 + (4*a^3)/(105*c^3) + (a*x^8)/(70*c) - (2*a^2*x^4)/(105*c^2))","B"
765,1,33,38,1.133744,"\text{Not used}","int(x^7*(a + c*x^4)^(1/2),x)","\sqrt{c\,x^4+a}\,\left(\frac{x^8}{10}-\frac{a^2}{15\,c^2}+\frac{a\,x^4}{30\,c}\right)","Not used",1,"(a + c*x^4)^(1/2)*(x^8/10 - a^2/(15*c^2) + (a*x^4)/(30*c))","B"
766,1,14,18,1.118073,"\text{Not used}","int(x^3*(a + c*x^4)^(1/2),x)","\frac{{\left(c\,x^4+a\right)}^{3/2}}{6\,c}","Not used",1,"(a + c*x^4)^(3/2)/(6*c)","B"
767,1,31,43,1.203213,"\text{Not used}","int((a + c*x^4)^(1/2)/x,x)","\frac{\sqrt{c\,x^4+a}}{2}-\frac{\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^4+a}}{\sqrt{a}}\right)}{2}","Not used",1,"(a + c*x^4)^(1/2)/2 - (a^(1/2)*atanh((a + c*x^4)^(1/2)/a^(1/2)))/2","B"
768,1,35,47,1.282518,"\text{Not used}","int((a + c*x^4)^(1/2)/x^5,x)","-\frac{\sqrt{c\,x^4+a}}{4\,x^4}-\frac{c\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^4+a}}{\sqrt{a}}\right)}{4\,\sqrt{a}}","Not used",1,"- (a + c*x^4)^(1/2)/(4*x^4) - (c*atanh((a + c*x^4)^(1/2)/a^(1/2)))/(4*a^(1/2))","B"
769,1,54,71,1.439461,"\text{Not used}","int((a + c*x^4)^(1/2)/x^9,x)","\frac{c^2\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^4+a}}{\sqrt{a}}\right)}{16\,a^{3/2}}-\frac{\sqrt{c\,x^4+a}}{16\,x^8}-\frac{{\left(c\,x^4+a\right)}^{3/2}}{16\,a\,x^8}","Not used",1,"(c^2*atanh((a + c*x^4)^(1/2)/a^(1/2)))/(16*a^(3/2)) - (a + c*x^4)^(1/2)/(16*x^8) - (a + c*x^4)^(3/2)/(16*a*x^8)","B"
770,0,-1,74,0.000000,"\text{Not used}","int(x^5*(a + c*x^4)^(1/2),x)","\int x^5\,\sqrt{c\,x^4+a} \,d x","Not used",1,"int(x^5*(a + c*x^4)^(1/2), x)","F"
771,0,-1,50,0.000000,"\text{Not used}","int(x*(a + c*x^4)^(1/2),x)","\int x\,\sqrt{c\,x^4+a} \,d x","Not used",1,"int(x*(a + c*x^4)^(1/2), x)","F"
772,0,-1,49,0.000000,"\text{Not used}","int((a + c*x^4)^(1/2)/x^3,x)","\int \frac{\sqrt{c\,x^4+a}}{x^3} \,d x","Not used",1,"int((a + c*x^4)^(1/2)/x^3, x)","F"
773,1,17,21,1.218975,"\text{Not used}","int((a + c*x^4)^(1/2)/x^7,x)","-\frac{{\left(c\,x^4+a\right)}^{3/2}}{6\,a\,x^6}","Not used",1,"-(a + c*x^4)^(3/2)/(6*a*x^6)","B"
774,1,37,44,1.320893,"\text{Not used}","int((a + c*x^4)^(1/2)/x^11,x)","-\frac{\sqrt{c\,x^4+a}\,\left(3\,a^2+a\,c\,x^4-2\,c^2\,x^8\right)}{30\,a^2\,x^{10}}","Not used",1,"-((a + c*x^4)^(1/2)*(3*a^2 - 2*c^2*x^8 + a*c*x^4))/(30*a^2*x^10)","B"
775,1,73,68,1.514552,"\text{Not used}","int((a + c*x^4)^(1/2)/x^15,x)","\frac{2\,c^2\,\sqrt{c\,x^4+a}}{105\,a^2\,x^6}-\frac{c\,\sqrt{c\,x^4+a}}{70\,a\,x^{10}}-\frac{4\,c^3\,\sqrt{c\,x^4+a}}{105\,a^3\,x^2}-\frac{\sqrt{c\,x^4+a}}{14\,x^{14}}","Not used",1,"(2*c^2*(a + c*x^4)^(1/2))/(105*a^2*x^6) - (c*(a + c*x^4)^(1/2))/(70*a*x^10) - (4*c^3*(a + c*x^4)^(1/2))/(105*a^3*x^2) - (a + c*x^4)^(1/2)/(14*x^14)","B"
776,0,-1,127,0.000000,"\text{Not used}","int(x^4*(a + c*x^4)^(1/2),x)","\int x^4\,\sqrt{c\,x^4+a} \,d x","Not used",1,"int(x^4*(a + c*x^4)^(1/2), x)","F"
777,1,37,105,1.047875,"\text{Not used}","int((a + c*x^4)^(1/2),x)","\frac{x\,\sqrt{c\,x^4+a}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{1}{4};\ \frac{5}{4};\ -\frac{c\,x^4}{a}\right)}{\sqrt{\frac{c\,x^4}{a}+1}}","Not used",1,"(x*(a + c*x^4)^(1/2)*hypergeom([-1/2, 1/4], 5/4, -(c*x^4)/a))/((c*x^4)/a + 1)^(1/2)","B"
778,0,-1,107,0.000000,"\text{Not used}","int((a + c*x^4)^(1/2)/x^4,x)","\int \frac{\sqrt{c\,x^4+a}}{x^4} \,d x","Not used",1,"int((a + c*x^4)^(1/2)/x^4, x)","F"
779,0,-1,129,0.000000,"\text{Not used}","int((a + c*x^4)^(1/2)/x^8,x)","\int \frac{\sqrt{c\,x^4+a}}{x^8} \,d x","Not used",1,"int((a + c*x^4)^(1/2)/x^8, x)","F"
780,0,-1,234,0.000000,"\text{Not used}","int(x^2*(a + c*x^4)^(1/2),x)","\int x^2\,\sqrt{c\,x^4+a} \,d x","Not used",1,"int(x^2*(a + c*x^4)^(1/2), x)","F"
781,1,39,224,1.280839,"\text{Not used}","int((a + c*x^4)^(1/2)/x^2,x)","\frac{\sqrt{c\,x^4+a}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},-\frac{1}{4};\ \frac{3}{4};\ -\frac{a}{c\,x^4}\right)}{x\,\sqrt{\frac{a}{c\,x^4}+1}}","Not used",1,"((a + c*x^4)^(1/2)*hypergeom([-1/2, -1/4], 3/4, -a/(c*x^4)))/(x*(a/(c*x^4) + 1)^(1/2))","B"
782,0,-1,258,0.000000,"\text{Not used}","int((a + c*x^4)^(1/2)/x^6,x)","\int \frac{\sqrt{c\,x^4+a}}{x^6} \,d x","Not used",1,"int((a + c*x^4)^(1/2)/x^6, x)","F"
783,1,53,59,1.175719,"\text{Not used}","int(x^11*(a + c*x^4)^(3/2),x)","\sqrt{c\,x^4+a}\,\left(\frac{5\,a\,x^{12}}{63}+\frac{c\,x^{16}}{18}+\frac{4\,a^4}{315\,c^3}-\frac{2\,a^3\,x^4}{315\,c^2}+\frac{a^2\,x^8}{210\,c}\right)","Not used",1,"(a + c*x^4)^(1/2)*((5*a*x^12)/63 + (c*x^16)/18 + (4*a^4)/(315*c^3) - (2*a^3*x^4)/(315*c^2) + (a^2*x^8)/(210*c))","B"
784,1,42,38,1.140672,"\text{Not used}","int(x^7*(a + c*x^4)^(3/2),x)","\sqrt{c\,x^4+a}\,\left(\frac{4\,a\,x^8}{35}+\frac{c\,x^{12}}{14}-\frac{a^3}{35\,c^2}+\frac{a^2\,x^4}{70\,c}\right)","Not used",1,"(a + c*x^4)^(1/2)*((4*a*x^8)/35 + (c*x^12)/14 - a^3/(35*c^2) + (a^2*x^4)/(70*c))","B"
785,1,14,18,1.141722,"\text{Not used}","int(x^3*(a + c*x^4)^(3/2),x)","\frac{{\left(c\,x^4+a\right)}^{5/2}}{10\,c}","Not used",1,"(a + c*x^4)^(5/2)/(10*c)","B"
786,1,43,59,1.169115,"\text{Not used}","int((a + c*x^4)^(3/2)/x,x)","\frac{a\,\sqrt{c\,x^4+a}}{2}-\frac{a^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^4+a}}{\sqrt{a}}\right)}{2}+\frac{{\left(c\,x^4+a\right)}^{3/2}}{6}","Not used",1,"(a*(a + c*x^4)^(1/2))/2 - (a^(3/2)*atanh((a + c*x^4)^(1/2)/a^(1/2)))/2 + (a + c*x^4)^(3/2)/6","B"
787,1,48,63,1.360942,"\text{Not used}","int((a + c*x^4)^(3/2)/x^5,x)","\frac{c\,\sqrt{c\,x^4+a}}{2}-\frac{a\,\sqrt{c\,x^4+a}}{4\,x^4}-\frac{3\,\sqrt{a}\,c\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^4+a}}{\sqrt{a}}\right)}{4}","Not used",1,"(c*(a + c*x^4)^(1/2))/2 - (a*(a + c*x^4)^(1/2))/(4*x^4) - (3*a^(1/2)*c*atanh((a + c*x^4)^(1/2)/a^(1/2)))/4","B"
788,1,52,68,1.494678,"\text{Not used}","int((a + c*x^4)^(3/2)/x^9,x)","\frac{3\,a\,\sqrt{c\,x^4+a}}{16\,x^8}-\frac{3\,c^2\,\mathrm{atanh}\left(\frac{\sqrt{c\,x^4+a}}{\sqrt{a}}\right)}{16\,\sqrt{a}}-\frac{5\,{\left(c\,x^4+a\right)}^{3/2}}{16\,x^8}","Not used",1,"(3*a*(a + c*x^4)^(1/2))/(16*x^8) - (3*c^2*atanh((a + c*x^4)^(1/2)/a^(1/2)))/(16*a^(1/2)) - (5*(a + c*x^4)^(3/2))/(16*x^8)","B"
789,0,-1,95,0.000000,"\text{Not used}","int(x^5*(a + c*x^4)^(3/2),x)","\int x^5\,{\left(c\,x^4+a\right)}^{3/2} \,d x","Not used",1,"int(x^5*(a + c*x^4)^(3/2), x)","F"
790,0,-1,71,0.000000,"\text{Not used}","int(x*(a + c*x^4)^(3/2),x)","\int x\,{\left(c\,x^4+a\right)}^{3/2} \,d x","Not used",1,"int(x*(a + c*x^4)^(3/2), x)","F"
791,0,-1,69,0.000000,"\text{Not used}","int((a + c*x^4)^(3/2)/x^3,x)","\int \frac{{\left(c\,x^4+a\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((a + c*x^4)^(3/2)/x^3, x)","F"
792,0,-1,68,0.000000,"\text{Not used}","int((a + c*x^4)^(3/2)/x^7,x)","\int \frac{{\left(c\,x^4+a\right)}^{3/2}}{x^7} \,d x","Not used",1,"int((a + c*x^4)^(3/2)/x^7, x)","F"
793,1,17,21,1.522926,"\text{Not used}","int((a + c*x^4)^(3/2)/x^11,x)","-\frac{{\left(c\,x^4+a\right)}^{5/2}}{10\,a\,x^{10}}","Not used",1,"-(a + c*x^4)^(5/2)/(10*a*x^10)","B"
794,1,71,44,1.763314,"\text{Not used}","int((a + c*x^4)^(3/2)/x^15,x)","\frac{c^3\,\sqrt{c\,x^4+a}}{35\,a^2\,x^2}-\frac{4\,c\,\sqrt{c\,x^4+a}}{35\,x^{10}}-\frac{a\,\sqrt{c\,x^4+a}}{14\,x^{14}}-\frac{c^2\,\sqrt{c\,x^4+a}}{70\,a\,x^6}","Not used",1,"(c^3*(a + c*x^4)^(1/2))/(35*a^2*x^2) - (4*c*(a + c*x^4)^(1/2))/(35*x^10) - (a*(a + c*x^4)^(1/2))/(14*x^14) - (c^2*(a + c*x^4)^(1/2))/(70*a*x^6)","B"
795,1,91,68,2.072684,"\text{Not used}","int((a + c*x^4)^(3/2)/x^19,x)","\frac{2\,c^3\,\sqrt{c\,x^4+a}}{315\,a^2\,x^6}-\frac{5\,c\,\sqrt{c\,x^4+a}}{63\,x^{14}}-\frac{4\,c^4\,\sqrt{c\,x^4+a}}{315\,a^3\,x^2}-\frac{a\,\sqrt{c\,x^4+a}}{18\,x^{18}}-\frac{c^2\,\sqrt{c\,x^4+a}}{210\,a\,x^{10}}","Not used",1,"(2*c^3*(a + c*x^4)^(1/2))/(315*a^2*x^6) - (5*c*(a + c*x^4)^(1/2))/(63*x^14) - (4*c^4*(a + c*x^4)^(1/2))/(315*a^3*x^2) - (a*(a + c*x^4)^(1/2))/(18*x^18) - (c^2*(a + c*x^4)^(1/2))/(210*a*x^10)","B"
796,0,-1,148,0.000000,"\text{Not used}","int(x^4*(a + c*x^4)^(3/2),x)","\int x^4\,{\left(c\,x^4+a\right)}^{3/2} \,d x","Not used",1,"int(x^4*(a + c*x^4)^(3/2), x)","F"
797,1,37,122,1.043619,"\text{Not used}","int((a + c*x^4)^(3/2),x)","\frac{x\,{\left(c\,x^4+a\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{1}{4};\ \frac{5}{4};\ -\frac{c\,x^4}{a}\right)}{{\left(\frac{c\,x^4}{a}+1\right)}^{3/2}}","Not used",1,"(x*(a + c*x^4)^(3/2)*hypergeom([-3/2, 1/4], 5/4, -(c*x^4)/a))/((c*x^4)/a + 1)^(3/2)","B"
798,0,-1,124,0.000000,"\text{Not used}","int((a + c*x^4)^(3/2)/x^4,x)","\int \frac{{\left(c\,x^4+a\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((a + c*x^4)^(3/2)/x^4, x)","F"
799,0,-1,126,0.000000,"\text{Not used}","int((a + c*x^4)^(3/2)/x^8,x)","\int \frac{{\left(c\,x^4+a\right)}^{3/2}}{x^8} \,d x","Not used",1,"int((a + c*x^4)^(3/2)/x^8, x)","F"
800,0,-1,255,0.000000,"\text{Not used}","int(x^2*(a + c*x^4)^(3/2),x)","\int x^2\,{\left(c\,x^4+a\right)}^{3/2} \,d x","Not used",1,"int(x^2*(a + c*x^4)^(3/2), x)","F"
801,1,40,251,1.500652,"\text{Not used}","int((a + c*x^4)^(3/2)/x^2,x)","\frac{{\left(c\,x^4+a\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},-\frac{5}{4};\ -\frac{1}{4};\ -\frac{a}{c\,x^4}\right)}{5\,x\,{\left(\frac{a}{c\,x^4}+1\right)}^{3/2}}","Not used",1,"((a + c*x^4)^(3/2)*hypergeom([-3/2, -5/4], -1/4, -a/(c*x^4)))/(5*x*(a/(c*x^4) + 1)^(3/2))","B"
802,0,-1,252,0.000000,"\text{Not used}","int((a + c*x^4)^(3/2)/x^6,x)","\int \frac{{\left(c\,x^4+a\right)}^{3/2}}{x^6} \,d x","Not used",1,"int((a + c*x^4)^(3/2)/x^6, x)","F"
803,1,12,72,1.019249,"\text{Not used}","int((x^4 + 1)^(3/2),x)","x\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{1}{4};\ \frac{5}{4};\ -x^4\right)","Not used",1,"x*hypergeom([-3/2, 1/4], 5/4, -x^4)","B"
804,1,10,41,1.016215,"\text{Not used}","int((1 - x^4)^(3/2),x)","x\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{1}{4};\ \frac{5}{4};\ x^4\right)","Not used",1,"x*hypergeom([-3/2, 1/4], 5/4, x^4)","B"
805,1,18,31,1.127036,"\text{Not used}","int(x^7*(3*x^4 + 5)^(1/2),x)","\frac{{\left(3\,x^4+5\right)}^{3/2}\,\left(9\,x^4-10\right)}{270}","Not used",1,"((3*x^4 + 5)^(3/2)*(9*x^4 - 10))/270","B"
806,1,9,13,1.115379,"\text{Not used}","int(x^3*(x^4 + 5)^(1/2),x)","\frac{{\left(x^4+5\right)}^{3/2}}{6}","Not used",1,"(x^4 + 5)^(3/2)/6","B"
807,0,-1,40,0.000000,"\text{Not used}","int(x*(2*x^4 + 3)^(1/2),x)","\int x\,\sqrt{2\,x^4+3} \,d x","Not used",1,"int(x*(2*x^4 + 3)^(1/2), x)","F"
808,0,-1,35,0.000000,"\text{Not used}","int(x*(x^4 - 2)^(1/2),x)","\int x\,\sqrt{x^4-2} \,d x","Not used",1,"int(x*(x^4 - 2)^(1/2), x)","F"
809,1,12,58,0.043450,"\text{Not used}","int((x^4 + 1)^(1/2),x)","x\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{1}{4};\ \frac{5}{4};\ -x^4\right)","Not used",1,"x*hypergeom([-1/2, 1/4], 5/4, -x^4)","B"
810,1,10,25,1.009903,"\text{Not used}","int((1 - x^4)^(1/2),x)","x\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{1}{4};\ \frac{5}{4};\ x^4\right)","Not used",1,"x*hypergeom([-1/2, 1/4], 5/4, x^4)","B"
811,1,36,59,1.195051,"\text{Not used}","int(x^11/(a + b*x^4)^(1/2),x)","\sqrt{b\,x^4+a}\,\left(\frac{4\,a^2}{15\,b^3}+\frac{x^8}{10\,b}-\frac{2\,a\,x^4}{15\,b^2}\right)","Not used",1,"(a + b*x^4)^(1/2)*((4*a^2)/(15*b^3) + x^8/(10*b) - (2*a*x^4)/(15*b^2))","B"
812,1,24,38,1.145592,"\text{Not used}","int(x^7/(a + b*x^4)^(1/2),x)","-\frac{\sqrt{b\,x^4+a}\,\left(2\,a-b\,x^4\right)}{6\,b^2}","Not used",1,"-((a + b*x^4)^(1/2)*(2*a - b*x^4))/(6*b^2)","B"
813,1,14,18,1.146230,"\text{Not used}","int(x^3/(a + b*x^4)^(1/2),x)","\frac{\sqrt{b\,x^4+a}}{2\,b}","Not used",1,"(a + b*x^4)^(1/2)/(2*b)","B"
814,1,19,27,1.224418,"\text{Not used}","int(1/(x*(a + b*x^4)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,x^4+a}}{\sqrt{a}}\right)}{2\,\sqrt{a}}","Not used",1,"-atanh((a + b*x^4)^(1/2)/a^(1/2))/(2*a^(1/2))","B"
815,1,38,50,1.311029,"\text{Not used}","int(1/(x^5*(a + b*x^4)^(1/2)),x)","\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^4+a}}{\sqrt{a}}\right)}{4\,a^{3/2}}-\frac{\sqrt{b\,x^4+a}}{4\,a\,x^4}","Not used",1,"(b*atanh((a + b*x^4)^(1/2)/a^(1/2)))/(4*a^(3/2)) - (a + b*x^4)^(1/2)/(4*a*x^4)","B"
816,0,-1,53,0.000000,"\text{Not used}","int(x^5/(a + b*x^4)^(1/2),x)","\int \frac{x^5}{\sqrt{b\,x^4+a}} \,d x","Not used",1,"int(x^5/(a + b*x^4)^(1/2), x)","F"
817,0,-1,30,0.000000,"\text{Not used}","int(x/(a + b*x^4)^(1/2),x)","\int \frac{x}{\sqrt{b\,x^4+a}} \,d x","Not used",1,"int(x/(a + b*x^4)^(1/2), x)","F"
818,1,17,21,1.135622,"\text{Not used}","int(1/(x^3*(a + b*x^4)^(1/2)),x)","-\frac{\sqrt{b\,x^4+a}}{2\,a\,x^2}","Not used",1,"-(a + b*x^4)^(1/2)/(2*a*x^2)","B"
819,1,25,44,1.186059,"\text{Not used}","int(1/(x^7*(a + b*x^4)^(1/2)),x)","-\frac{\sqrt{b\,x^4+a}\,\left(a-2\,b\,x^4\right)}{6\,a^2\,x^6}","Not used",1,"-((a + b*x^4)^(1/2)*(a - 2*b*x^4))/(6*a^2*x^6)","B"
820,1,38,68,1.275342,"\text{Not used}","int(1/(x^11*(a + b*x^4)^(1/2)),x)","-\frac{\sqrt{b\,x^4+a}\,\left(3\,a^2-4\,a\,b\,x^4+8\,b^2\,x^8\right)}{30\,a^3\,x^{10}}","Not used",1,"-((a + b*x^4)^(1/2)*(3*a^2 + 8*b^2*x^8 - 4*a*b*x^4))/(30*a^3*x^10)","B"
821,0,-1,130,0.000000,"\text{Not used}","int(x^8/(a + b*x^4)^(1/2),x)","\int \frac{x^8}{\sqrt{b\,x^4+a}} \,d x","Not used",1,"int(x^8/(a + b*x^4)^(1/2), x)","F"
822,0,-1,108,0.000000,"\text{Not used}","int(x^4/(a + b*x^4)^(1/2),x)","\int \frac{x^4}{\sqrt{b\,x^4+a}} \,d x","Not used",1,"int(x^4/(a + b*x^4)^(1/2), x)","F"
823,1,37,88,1.077420,"\text{Not used}","int(1/(a + b*x^4)^(1/2),x)","\frac{x\,\sqrt{\frac{b\,x^4}{a}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{5}{4};\ -\frac{b\,x^4}{a}\right)}{\sqrt{b\,x^4+a}}","Not used",1,"(x*((b*x^4)/a + 1)^(1/2)*hypergeom([1/4, 1/2], 5/4, -(b*x^4)/a))/(a + b*x^4)^(1/2)","B"
824,0,-1,110,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x^4)^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{b\,x^4+a}} \,d x","Not used",1,"int(1/(x^4*(a + b*x^4)^(1/2)), x)","F"
825,0,-1,132,0.000000,"\text{Not used}","int(1/(x^8*(a + b*x^4)^(1/2)),x)","\int \frac{1}{x^8\,\sqrt{b\,x^4+a}} \,d x","Not used",1,"int(1/(x^8*(a + b*x^4)^(1/2)), x)","F"
826,0,-1,261,0.000000,"\text{Not used}","int(x^10/(a + b*x^4)^(1/2),x)","\int \frac{x^{10}}{\sqrt{b\,x^4+a}} \,d x","Not used",1,"int(x^10/(a + b*x^4)^(1/2), x)","F"
827,0,-1,237,0.000000,"\text{Not used}","int(x^6/(a + b*x^4)^(1/2),x)","\int \frac{x^6}{\sqrt{b\,x^4+a}} \,d x","Not used",1,"int(x^6/(a + b*x^4)^(1/2), x)","F"
828,0,-1,210,0.000000,"\text{Not used}","int(x^2/(a + b*x^4)^(1/2),x)","\int \frac{x^2}{\sqrt{b\,x^4+a}} \,d x","Not used",1,"int(x^2/(a + b*x^4)^(1/2), x)","F"
829,1,40,232,1.258046,"\text{Not used}","int(1/(x^2*(a + b*x^4)^(1/2)),x)","-\frac{\sqrt{\frac{a}{b\,x^4}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{3}{4};\ \frac{7}{4};\ -\frac{a}{b\,x^4}\right)}{3\,x\,\sqrt{b\,x^4+a}}","Not used",1,"-((a/(b*x^4) + 1)^(1/2)*hypergeom([1/2, 3/4], 7/4, -a/(b*x^4)))/(3*x*(a + b*x^4)^(1/2))","B"
830,0,-1,261,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^4)^(1/2)),x)","\int \frac{1}{x^6\,\sqrt{b\,x^4+a}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^4)^(1/2)), x)","F"
831,1,38,62,1.208997,"\text{Not used}","int(x^11/(a - b*x^4)^(1/2),x)","-\sqrt{a-b\,x^4}\,\left(\frac{4\,a^2}{15\,b^3}+\frac{x^8}{10\,b}+\frac{2\,a\,x^4}{15\,b^2}\right)","Not used",1,"-(a - b*x^4)^(1/2)*((4*a^2)/(15*b^3) + x^8/(10*b) + (2*a*x^4)/(15*b^2))","B"
832,1,24,40,1.168382,"\text{Not used}","int(x^7/(a - b*x^4)^(1/2),x)","-\frac{\sqrt{a-b\,x^4}\,\left(b\,x^4+2\,a\right)}{6\,b^2}","Not used",1,"-((a - b*x^4)^(1/2)*(2*a + b*x^4))/(6*b^2)","B"
833,1,15,19,1.189177,"\text{Not used}","int(x^3/(a - b*x^4)^(1/2),x)","-\frac{\sqrt{a-b\,x^4}}{2\,b}","Not used",1,"-(a - b*x^4)^(1/2)/(2*b)","B"
834,1,20,28,1.211162,"\text{Not used}","int(1/(x*(a - b*x^4)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\frac{\sqrt{a-b\,x^4}}{\sqrt{a}}\right)}{2\,\sqrt{a}}","Not used",1,"-atanh((a - b*x^4)^(1/2)/a^(1/2))/(2*a^(1/2))","B"
835,1,40,52,1.287187,"\text{Not used}","int(1/(x^5*(a - b*x^4)^(1/2)),x)","-\frac{\sqrt{a-b\,x^4}}{4\,a\,x^4}-\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{a-b\,x^4}}{\sqrt{a}}\right)}{4\,a^{3/2}}","Not used",1,"- (a - b*x^4)^(1/2)/(4*a*x^4) - (b*atanh((a - b*x^4)^(1/2)/a^(1/2)))/(4*a^(3/2))","B"
836,0,-1,55,0.000000,"\text{Not used}","int(x^5/(a - b*x^4)^(1/2),x)","\int \frac{x^5}{\sqrt{a-b\,x^4}} \,d x","Not used",1,"int(x^5/(a - b*x^4)^(1/2), x)","F"
837,0,-1,31,0.000000,"\text{Not used}","int(x/(a - b*x^4)^(1/2),x)","\int \frac{x}{\sqrt{a-b\,x^4}} \,d x","Not used",1,"int(x/(a - b*x^4)^(1/2), x)","F"
838,1,18,22,1.145193,"\text{Not used}","int(1/(x^3*(a - b*x^4)^(1/2)),x)","-\frac{\sqrt{a-b\,x^4}}{2\,a\,x^2}","Not used",1,"-(a - b*x^4)^(1/2)/(2*a*x^2)","B"
839,1,26,46,1.192276,"\text{Not used}","int(1/(x^7*(a - b*x^4)^(1/2)),x)","-\frac{\sqrt{a-b\,x^4}\,\left(2\,b\,x^4+a\right)}{6\,a^2\,x^6}","Not used",1,"-((a - b*x^4)^(1/2)*(a + 2*b*x^4))/(6*a^2*x^6)","B"
840,1,39,71,1.311230,"\text{Not used}","int(1/(x^11*(a - b*x^4)^(1/2)),x)","-\frac{\sqrt{a-b\,x^4}\,\left(3\,a^2+4\,a\,b\,x^4+8\,b^2\,x^8\right)}{30\,a^3\,x^{10}}","Not used",1,"-((a - b*x^4)^(1/2)*(3*a^2 + 8*b^2*x^8 + 4*a*b*x^4))/(30*a^3*x^10)","B"
841,0,-1,100,0.000000,"\text{Not used}","int(x^8/(a - b*x^4)^(1/2),x)","\int \frac{x^8}{\sqrt{a-b\,x^4}} \,d x","Not used",1,"int(x^8/(a - b*x^4)^(1/2), x)","F"
842,0,-1,77,0.000000,"\text{Not used}","int(x^4/(a - b*x^4)^(1/2),x)","\int \frac{x^4}{\sqrt{a-b\,x^4}} \,d x","Not used",1,"int(x^4/(a - b*x^4)^(1/2), x)","F"
843,1,38,53,1.089537,"\text{Not used}","int(1/(a - b*x^4)^(1/2),x)","\frac{x\,\sqrt{1-\frac{b\,x^4}{a}}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{5}{4};\ \frac{b\,x^4}{a}\right)}{\sqrt{a-b\,x^4}}","Not used",1,"(x*(1 - (b*x^4)/a)^(1/2)*hypergeom([1/4, 1/2], 5/4, (b*x^4)/a))/(a - b*x^4)^(1/2)","B"
844,0,-1,79,0.000000,"\text{Not used}","int(1/(x^4*(a - b*x^4)^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{a-b\,x^4}} \,d x","Not used",1,"int(1/(x^4*(a - b*x^4)^(1/2)), x)","F"
845,0,-1,102,0.000000,"\text{Not used}","int(1/(x^8*(a - b*x^4)^(1/2)),x)","\int \frac{1}{x^8\,\sqrt{a-b\,x^4}} \,d x","Not used",1,"int(1/(x^8*(a - b*x^4)^(1/2)), x)","F"
846,0,-1,158,0.000000,"\text{Not used}","int(x^10/(a - b*x^4)^(1/2),x)","\int \frac{x^{10}}{\sqrt{a-b\,x^4}} \,d x","Not used",1,"int(x^10/(a - b*x^4)^(1/2), x)","F"
847,0,-1,135,0.000000,"\text{Not used}","int(x^6/(a - b*x^4)^(1/2),x)","\int \frac{x^6}{\sqrt{a-b\,x^4}} \,d x","Not used",1,"int(x^6/(a - b*x^4)^(1/2), x)","F"
848,0,-1,108,0.000000,"\text{Not used}","int(x^2/(a - b*x^4)^(1/2),x)","\int \frac{x^2}{\sqrt{a-b\,x^4}} \,d x","Not used",1,"int(x^2/(a - b*x^4)^(1/2), x)","F"
849,1,41,128,1.280785,"\text{Not used}","int(1/(x^2*(a - b*x^4)^(1/2)),x)","-\frac{\sqrt{1-\frac{a}{b\,x^4}}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{3}{4};\ \frac{7}{4};\ \frac{a}{b\,x^4}\right)}{3\,x\,\sqrt{a-b\,x^4}}","Not used",1,"-((1 - a/(b*x^4))^(1/2)*hypergeom([1/2, 3/4], 7/4, a/(b*x^4)))/(3*x*(a - b*x^4)^(1/2))","B"
850,0,-1,158,0.000000,"\text{Not used}","int(1/(x^6*(a - b*x^4)^(1/2)),x)","\int \frac{1}{x^6\,\sqrt{a-b\,x^4}} \,d x","Not used",1,"int(1/(x^6*(a - b*x^4)^(1/2)), x)","F"
851,1,41,57,1.301958,"\text{Not used}","int(x^11/(a + b*x^4)^(3/2),x)","-\frac{6\,a\,\left(b\,x^4+a\right)-{\left(b\,x^4+a\right)}^2+3\,a^2}{6\,b^3\,\sqrt{b\,x^4+a}}","Not used",1,"-(6*a*(a + b*x^4) - (a + b*x^4)^2 + 3*a^2)/(6*b^3*(a + b*x^4)^(1/2))","B"
852,1,21,38,1.205296,"\text{Not used}","int(x^7/(a + b*x^4)^(3/2),x)","\frac{\frac{b\,x^4}{2}+a}{b^2\,\sqrt{b\,x^4+a}}","Not used",1,"(a + (b*x^4)/2)/(b^2*(a + b*x^4)^(1/2))","B"
853,1,14,18,1.131710,"\text{Not used}","int(x^3/(a + b*x^4)^(3/2),x)","-\frac{1}{2\,b\,\sqrt{b\,x^4+a}}","Not used",1,"-1/(2*b*(a + b*x^4)^(1/2))","B"
854,1,34,46,1.247751,"\text{Not used}","int(1/(x*(a + b*x^4)^(3/2)),x)","\frac{1}{2\,a\,\sqrt{b\,x^4+a}}-\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,x^4+a}}{\sqrt{a}}\right)}{2\,a^{3/2}}","Not used",1,"1/(2*a*(a + b*x^4)^(1/2)) - atanh((a + b*x^4)^(1/2)/a^(1/2))/(2*a^(3/2))","B"
855,1,53,69,1.371953,"\text{Not used}","int(1/(x^5*(a + b*x^4)^(3/2)),x)","\frac{3\,b\,\mathrm{atanh}\left(\frac{\sqrt{b\,x^4+a}}{\sqrt{a}}\right)}{4\,a^{5/2}}-\frac{1}{4\,a\,x^4\,\sqrt{b\,x^4+a}}-\frac{3\,b}{4\,a^2\,\sqrt{b\,x^4+a}}","Not used",1,"(3*b*atanh((a + b*x^4)^(1/2)/a^(1/2)))/(4*a^(5/2)) - 1/(4*a*x^4*(a + b*x^4)^(1/2)) - (3*b)/(4*a^2*(a + b*x^4)^(1/2))","B"
856,0,-1,74,0.000000,"\text{Not used}","int(x^9/(a + b*x^4)^(3/2),x)","\int \frac{x^9}{{\left(b\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(x^9/(a + b*x^4)^(3/2), x)","F"
857,0,-1,52,0.000000,"\text{Not used}","int(x^5/(a + b*x^4)^(3/2),x)","\int \frac{x^5}{{\left(b\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(x^5/(a + b*x^4)^(3/2), x)","F"
858,1,17,21,1.030538,"\text{Not used}","int(x/(a + b*x^4)^(3/2),x)","\frac{x^2}{2\,a\,\sqrt{b\,x^4+a}}","Not used",1,"x^2/(2*a*(a + b*x^4)^(1/2))","B"
859,1,25,42,1.154795,"\text{Not used}","int(1/(x^3*(a + b*x^4)^(3/2)),x)","-\frac{2\,b\,x^4+a}{2\,a^2\,x^2\,\sqrt{b\,x^4+a}}","Not used",1,"-(a + 2*b*x^4)/(2*a^2*x^2*(a + b*x^4)^(1/2))","B"
860,1,70,68,1.280277,"\text{Not used}","int(1/(x^7*(a + b*x^4)^(3/2)),x)","-\frac{8\,{\left(b\,x^4+a\right)}^2-12\,a\,\left(b\,x^4+a\right)+3\,a^2}{\left(\frac{6\,a^4\,x^2}{b}-\frac{6\,a^3\,x^2\,\left(b\,x^4+a\right)}{b}\right)\,\sqrt{b\,x^4+a}}","Not used",1,"-(8*(a + b*x^4)^2 - 12*a*(a + b*x^4) + 3*a^2)/(((6*a^4*x^2)/b - (6*a^3*x^2*(a + b*x^4))/b)*(a + b*x^4)^(1/2))","B"
861,0,-1,151,0.000000,"\text{Not used}","int(x^12/(a + b*x^4)^(3/2),x)","\int \frac{x^{12}}{{\left(b\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(x^12/(a + b*x^4)^(3/2), x)","F"
862,0,-1,129,0.000000,"\text{Not used}","int(x^8/(a + b*x^4)^(3/2),x)","\int \frac{x^8}{{\left(b\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(x^8/(a + b*x^4)^(3/2), x)","F"
863,0,-1,108,0.000000,"\text{Not used}","int(x^4/(a + b*x^4)^(3/2),x)","\int \frac{x^4}{{\left(b\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(x^4/(a + b*x^4)^(3/2), x)","F"
864,1,37,108,1.113672,"\text{Not used}","int(1/(a + b*x^4)^(3/2),x)","\frac{x\,{\left(\frac{b\,x^4}{a}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{2};\ \frac{5}{4};\ -\frac{b\,x^4}{a}\right)}{{\left(b\,x^4+a\right)}^{3/2}}","Not used",1,"(x*((b*x^4)/a + 1)^(3/2)*hypergeom([1/4, 3/2], 5/4, -(b*x^4)/a))/(a + b*x^4)^(3/2)","B"
865,0,-1,131,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x^4)^(3/2)),x)","\int \frac{1}{x^4\,{\left(b\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^4*(a + b*x^4)^(3/2)), x)","F"
866,0,-1,153,0.000000,"\text{Not used}","int(1/(x^8*(a + b*x^4)^(3/2)),x)","\int \frac{1}{x^8\,{\left(b\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^8*(a + b*x^4)^(3/2)), x)","F"
867,0,-1,282,0.000000,"\text{Not used}","int(x^14/(a + b*x^4)^(3/2),x)","\int \frac{x^{14}}{{\left(b\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(x^14/(a + b*x^4)^(3/2), x)","F"
868,0,-1,258,0.000000,"\text{Not used}","int(x^10/(a + b*x^4)^(3/2),x)","\int \frac{x^{10}}{{\left(b\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(x^10/(a + b*x^4)^(3/2), x)","F"
869,0,-1,236,0.000000,"\text{Not used}","int(x^6/(a + b*x^4)^(3/2),x)","\int \frac{x^6}{{\left(b\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(x^6/(a + b*x^4)^(3/2), x)","F"
870,0,-1,239,0.000000,"\text{Not used}","int(x^2/(a + b*x^4)^(3/2),x)","\int \frac{x^2}{{\left(b\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(x^2/(a + b*x^4)^(3/2), x)","F"
871,1,40,260,1.351994,"\text{Not used}","int(1/(x^2*(a + b*x^4)^(3/2)),x)","-\frac{{\left(\frac{a}{b\,x^4}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{2},\frac{7}{4};\ \frac{11}{4};\ -\frac{a}{b\,x^4}\right)}{7\,x\,{\left(b\,x^4+a\right)}^{3/2}}","Not used",1,"-((a/(b*x^4) + 1)^(3/2)*hypergeom([3/2, 7/4], 11/4, -a/(b*x^4)))/(7*x*(a + b*x^4)^(3/2))","B"
872,0,-1,282,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^4)^(3/2)),x)","\int \frac{1}{x^6\,{\left(b\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^4)^(3/2)), x)","F"
873,1,37,127,1.155325,"\text{Not used}","int(1/(a + b*x^4)^(5/2),x)","\frac{x\,{\left(\frac{b\,x^4}{a}+1\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{5}{2};\ \frac{5}{4};\ -\frac{b\,x^4}{a}\right)}{{\left(b\,x^4+a\right)}^{5/2}}","Not used",1,"(x*((b*x^4)/a + 1)^(5/2)*hypergeom([1/4, 5/2], 5/4, -(b*x^4)/a))/(a + b*x^4)^(5/2)","B"
874,1,23,46,1.199892,"\text{Not used}","int(x^11/(1 - x^4)^(1/2),x)","-\sqrt{1-x^4}\,\left(\frac{x^8}{10}+\frac{2\,x^4}{15}+\frac{4}{15}\right)","Not used",1,"-(1 - x^4)^(1/2)*((2*x^4)/15 + x^8/10 + 4/15)","B"
875,1,16,31,1.130261,"\text{Not used}","int(x^7/(1 - x^4)^(1/2),x)","-\frac{\sqrt{1-x^4}\,\left(x^4+2\right)}{6}","Not used",1,"-((1 - x^4)^(1/2)*(x^4 + 2))/6","B"
876,1,11,15,1.224394,"\text{Not used}","int(x^3/(1 - x^4)^(1/2),x)","-\frac{\sqrt{1-x^4}}{2}","Not used",1,"-(1 - x^4)^(1/2)/2","B"
877,1,12,16,1.313796,"\text{Not used}","int(1/(x*(1 - x^4)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\sqrt{1-x^4}\right)}{2}","Not used",1,"-atanh((1 - x^4)^(1/2))/2","B"
878,1,27,35,1.213945,"\text{Not used}","int(1/(x^5*(1 - x^4)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\sqrt{1-x^4}\right)}{4}-\frac{\sqrt{1-x^4}}{4\,x^4}","Not used",1,"- atanh((1 - x^4)^(1/2))/4 - (1 - x^4)^(1/2)/(4*x^4)","B"
879,0,-1,27,0.000000,"\text{Not used}","int(x^5/(1 - x^4)^(1/2),x)","\int \frac{x^5}{\sqrt{1-x^4}} \,d x","Not used",1,"int(x^5/(1 - x^4)^(1/2), x)","F"
880,1,16,8,0.159247,"\text{Not used}","int(x/(1 - x^4)^(1/2),x)","\frac{\mathrm{atan}\left(\frac{x^2}{\sqrt{1-x^4}}\right)}{2}","Not used",1,"atan(x^2/(1 - x^4)^(1/2))/2","B"
881,1,14,18,1.120783,"\text{Not used}","int(1/(x^3*(1 - x^4)^(1/2)),x)","-\frac{\sqrt{1-x^4}}{2\,x^2}","Not used",1,"-(1 - x^4)^(1/2)/(2*x^2)","B"
882,1,21,37,1.154552,"\text{Not used}","int(1/(x^7*(1 - x^4)^(1/2)),x)","-\frac{\sqrt{1-x^4}\,\left(2\,x^4+1\right)}{6\,x^6}","Not used",1,"-((1 - x^4)^(1/2)*(2*x^4 + 1))/(6*x^6)","B"
883,1,26,55,1.189112,"\text{Not used}","int(1/(x^11*(1 - x^4)^(1/2)),x)","-\frac{\sqrt{1-x^4}\,\left(8\,x^8+4\,x^4+3\right)}{30\,x^{10}}","Not used",1,"-((1 - x^4)^(1/2)*(4*x^4 + 8*x^8 + 3))/(30*x^10)","B"
884,0,-1,43,0.000000,"\text{Not used}","int(x^8/(1 - x^4)^(1/2),x)","\int \frac{x^8}{\sqrt{1-x^4}} \,d x","Not used",1,"int(x^8/(1 - x^4)^(1/2), x)","F"
885,0,-1,25,0.000000,"\text{Not used}","int(x^4/(1 - x^4)^(1/2),x)","\int \frac{x^4}{\sqrt{1-x^4}} \,d x","Not used",1,"int(x^4/(1 - x^4)^(1/2), x)","F"
886,1,10,4,1.066389,"\text{Not used}","int(1/(1 - x^4)^(1/2),x)","x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{5}{4};\ x^4\right)","Not used",1,"x*hypergeom([1/4, 1/2], 5/4, x^4)","B"
887,0,-1,27,0.000000,"\text{Not used}","int(1/(x^4*(1 - x^4)^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{1-x^4}} \,d x","Not used",1,"int(1/(x^4*(1 - x^4)^(1/2)), x)","F"
888,0,-1,45,0.000000,"\text{Not used}","int(1/(x^8*(1 - x^4)^(1/2)),x)","\int \frac{1}{x^8\,\sqrt{1-x^4}} \,d x","Not used",1,"int(1/(x^8*(1 - x^4)^(1/2)), x)","F"
889,0,-1,53,0.000000,"\text{Not used}","int(x^10/(1 - x^4)^(1/2),x)","\int \frac{x^{10}}{\sqrt{1-x^4}} \,d x","Not used",1,"int(x^10/(1 - x^4)^(1/2), x)","F"
890,0,-1,35,0.000000,"\text{Not used}","int(x^6/(1 - x^4)^(1/2),x)","\int \frac{x^6}{\sqrt{1-x^4}} \,d x","Not used",1,"int(x^6/(1 - x^4)^(1/2), x)","F"
891,0,-1,11,0.000000,"\text{Not used}","int(x^2/(1 - x^4)^(1/2),x)","\int \frac{x^2}{\sqrt{1-x^4}} \,d x","Not used",1,"int(x^2/(1 - x^4)^(1/2), x)","F"
892,1,13,27,1.123632,"\text{Not used}","int(1/(x^2*(1 - x^4)^(1/2)),x)","-\frac{{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{1}{2};\ \frac{3}{4};\ x^4\right)}{x}","Not used",1,"-hypergeom([-1/4, 1/2], 3/4, x^4)/x","B"
893,0,-1,53,0.000000,"\text{Not used}","int(1/(x^6*(1 - x^4)^(1/2)),x)","\int \frac{1}{x^6\,\sqrt{1-x^4}} \,d x","Not used",1,"int(1/(x^6*(1 - x^4)^(1/2)), x)","F"
894,1,25,42,1.186932,"\text{Not used}","int(x^11/(1 - x^4)^(3/2),x)","-\frac{{\left(x^4-1\right)}^2+6\,x^4-9}{6\,\sqrt{1-x^4}}","Not used",1,"-((x^4 - 1)^2 + 6*x^4 - 9)/(6*(1 - x^4)^(1/2))","B"
895,1,16,31,1.165566,"\text{Not used}","int(x^7/(1 - x^4)^(3/2),x)","-\frac{x^4-2}{2\,\sqrt{1-x^4}}","Not used",1,"-(x^4 - 2)/(2*(1 - x^4)^(1/2))","B"
896,1,11,15,1.191760,"\text{Not used}","int(x^3/(1 - x^4)^(3/2),x)","\frac{1}{2\,\sqrt{1-x^4}}","Not used",1,"1/(2*(1 - x^4)^(1/2))","B"
897,1,24,32,1.222713,"\text{Not used}","int(1/(x*(1 - x^4)^(3/2)),x)","\frac{1}{2\,\sqrt{1-x^4}}-\frac{\mathrm{atanh}\left(\sqrt{1-x^4}\right)}{2}","Not used",1,"1/(2*(1 - x^4)^(1/2)) - atanh((1 - x^4)^(1/2))/2","B"
898,1,38,50,1.225717,"\text{Not used}","int(1/(x^5*(1 - x^4)^(3/2)),x)","\frac{3}{4\,\sqrt{1-x^4}}-\frac{1}{4\,x^4\,\sqrt{1-x^4}}-\frac{3\,\mathrm{atanh}\left(\sqrt{1-x^4}\right)}{4}","Not used",1,"3/(4*(1 - x^4)^(1/2)) - 1/(4*x^4*(1 - x^4)^(1/2)) - (3*atanh((1 - x^4)^(1/2)))/4","B"
899,0,-1,45,0.000000,"\text{Not used}","int(x^9/(1 - x^4)^(3/2),x)","\int \frac{x^9}{{\left(1-x^4\right)}^{3/2}} \,d x","Not used",1,"int(x^9/(1 - x^4)^(3/2), x)","F"
900,0,-1,27,0.000000,"\text{Not used}","int(x^5/(1 - x^4)^(3/2),x)","\int \frac{x^5}{{\left(1-x^4\right)}^{3/2}} \,d x","Not used",1,"int(x^5/(1 - x^4)^(3/2), x)","F"
901,1,14,18,1.050329,"\text{Not used}","int(x/(1 - x^4)^(3/2),x)","\frac{x^2}{2\,\sqrt{1-x^4}}","Not used",1,"x^2/(2*(1 - x^4)^(1/2))","B"
902,1,18,34,1.140817,"\text{Not used}","int(1/(x^3*(1 - x^4)^(3/2)),x)","\frac{x^4-\frac{1}{2}}{x^2\,\sqrt{1-x^4}}","Not used",1,"(x^4 - 1/2)/(x^2*(1 - x^4)^(1/2))","B"
903,1,30,55,1.199282,"\text{Not used}","int(1/(x^7*(1 - x^4)^(3/2)),x)","\frac{8\,{\left(x^4-1\right)}^2+12\,x^4-9}{6\,x^6\,\sqrt{1-x^4}}","Not used",1,"(8*(x^4 - 1)^2 + 12*x^4 - 9)/(6*x^6*(1 - x^4)^(1/2))","B"
904,0,-1,61,0.000000,"\text{Not used}","int(x^12/(1 - x^4)^(3/2),x)","\int \frac{x^{12}}{{\left(1-x^4\right)}^{3/2}} \,d x","Not used",1,"int(x^12/(1 - x^4)^(3/2), x)","F"
905,0,-1,43,0.000000,"\text{Not used}","int(x^8/(1 - x^4)^(3/2),x)","\int \frac{x^8}{{\left(1-x^4\right)}^{3/2}} \,d x","Not used",1,"int(x^8/(1 - x^4)^(3/2), x)","F"
906,0,-1,25,0.000000,"\text{Not used}","int(x^4/(1 - x^4)^(3/2),x)","\int \frac{x^4}{{\left(1-x^4\right)}^{3/2}} \,d x","Not used",1,"int(x^4/(1 - x^4)^(3/2), x)","F"
907,1,10,25,1.072270,"\text{Not used}","int(1/(1 - x^4)^(3/2),x)","x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{2};\ \frac{5}{4};\ x^4\right)","Not used",1,"x*hypergeom([1/4, 3/2], 5/4, x^4)","B"
908,0,-1,45,0.000000,"\text{Not used}","int(1/(x^4*(1 - x^4)^(3/2)),x)","\int \frac{1}{x^4\,{\left(1-x^4\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^4*(1 - x^4)^(3/2)), x)","F"
909,0,-1,63,0.000000,"\text{Not used}","int(1/(x^8*(1 - x^4)^(3/2)),x)","\int \frac{1}{x^8\,{\left(1-x^4\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^8*(1 - x^4)^(3/2)), x)","F"
910,0,-1,71,0.000000,"\text{Not used}","int(x^14/(1 - x^4)^(3/2),x)","\int \frac{x^{14}}{{\left(1-x^4\right)}^{3/2}} \,d x","Not used",1,"int(x^14/(1 - x^4)^(3/2), x)","F"
911,0,-1,53,0.000000,"\text{Not used}","int(x^10/(1 - x^4)^(3/2),x)","\int \frac{x^{10}}{{\left(1-x^4\right)}^{3/2}} \,d x","Not used",1,"int(x^10/(1 - x^4)^(3/2), x)","F"
912,0,-1,35,0.000000,"\text{Not used}","int(x^6/(1 - x^4)^(3/2),x)","\int \frac{x^6}{{\left(1-x^4\right)}^{3/2}} \,d x","Not used",1,"int(x^6/(1 - x^4)^(3/2), x)","F"
913,0,-1,35,0.000000,"\text{Not used}","int(x^2/(1 - x^4)^(3/2),x)","\int \frac{x^2}{{\left(1-x^4\right)}^{3/2}} \,d x","Not used",1,"int(x^2/(1 - x^4)^(3/2), x)","F"
914,1,13,53,1.155600,"\text{Not used}","int(1/(x^2*(1 - x^4)^(3/2)),x)","-\frac{{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{3}{2};\ \frac{3}{4};\ x^4\right)}{x}","Not used",1,"-hypergeom([-1/4, 3/2], 3/4, x^4)/x","B"
915,0,-1,71,0.000000,"\text{Not used}","int(1/(x^6*(1 - x^4)^(3/2)),x)","\int \frac{1}{x^6\,{\left(1-x^4\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^6*(1 - x^4)^(3/2)), x)","F"
916,1,10,41,1.074965,"\text{Not used}","int(1/(1 - x^4)^(5/2),x)","x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{5}{2};\ \frac{5}{4};\ x^4\right)","Not used",1,"x*hypergeom([1/4, 5/2], 5/4, x^4)","B"
917,1,20,40,1.163180,"\text{Not used}","int(x^11/(x^4 + 1)^(1/2),x)","\sqrt{x^4+1}\,\left(\frac{x^8}{10}-\frac{2\,x^4}{15}+\frac{4}{15}\right)","Not used",1,"(x^4 + 1)^(1/2)*(x^8/10 - (2*x^4)/15 + 4/15)","B"
918,1,14,27,1.153972,"\text{Not used}","int(x^7/(x^4 + 1)^(1/2),x)","\frac{\sqrt{x^4+1}\,\left(x^4-2\right)}{6}","Not used",1,"((x^4 + 1)^(1/2)*(x^4 - 2))/6","B"
919,1,9,13,1.044271,"\text{Not used}","int(x^3/(x^4 + 1)^(1/2),x)","\frac{\sqrt{x^4+1}}{2}","Not used",1,"(x^4 + 1)^(1/2)/2","B"
920,1,10,14,0.053602,"\text{Not used}","int(1/(x*(x^4 + 1)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\sqrt{x^4+1}\right)}{2}","Not used",1,"-atanh((x^4 + 1)^(1/2))/2","B"
921,1,23,31,1.212680,"\text{Not used}","int(1/(x^5*(x^4 + 1)^(1/2)),x)","\frac{\mathrm{atanh}\left(\sqrt{x^4+1}\right)}{4}-\frac{\sqrt{x^4+1}}{4\,x^4}","Not used",1,"atanh((x^4 + 1)^(1/2))/4 - (x^4 + 1)^(1/2)/(4*x^4)","B"
922,0,-1,25,0.000000,"\text{Not used}","int(x^5/(x^4 + 1)^(1/2),x)","\int \frac{x^5}{\sqrt{x^4+1}} \,d x","Not used",1,"int(x^5/(x^4 + 1)^(1/2), x)","F"
923,1,6,8,1.018005,"\text{Not used}","int(x/(x^4 + 1)^(1/2),x)","\frac{\mathrm{asinh}\left(x^2\right)}{2}","Not used",1,"asinh(x^2)/2","B"
924,1,12,16,1.112728,"\text{Not used}","int(1/(x^3*(x^4 + 1)^(1/2)),x)","-\frac{\sqrt{x^4+1}}{2\,x^2}","Not used",1,"-(x^4 + 1)^(1/2)/(2*x^2)","B"
925,1,19,33,1.153823,"\text{Not used}","int(1/(x^7*(x^4 + 1)^(1/2)),x)","\frac{\sqrt{x^4+1}\,\left(2\,x^4-1\right)}{6\,x^6}","Not used",1,"((x^4 + 1)^(1/2)*(2*x^4 - 1))/(6*x^6)","B"
926,1,24,49,1.219568,"\text{Not used}","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}}","Not used",1,"-((x^4 + 1)^(1/2)*(8*x^8 - 4*x^4 + 3))/(30*x^10)","B"
927,0,-1,74,0.000000,"\text{Not used}","int(x^8/(x^4 + 1)^(1/2),x)","\int \frac{x^8}{\sqrt{x^4+1}} \,d x","Not used",1,"int(x^8/(x^4 + 1)^(1/2), x)","F"
928,0,-1,58,0.000000,"\text{Not used}","int(x^4/(x^4 + 1)^(1/2),x)","\int \frac{x^4}{\sqrt{x^4+1}} \,d x","Not used",1,"int(x^4/(x^4 + 1)^(1/2), x)","F"
929,1,12,43,1.051168,"\text{Not used}","int(1/(x^4 + 1)^(1/2),x)","x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{5}{4};\ -x^4\right)","Not used",1,"x*hypergeom([1/4, 1/2], 5/4, -x^4)","B"
930,0,-1,60,0.000000,"\text{Not used}","int(1/(x^4*(x^4 + 1)^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{x^4+1}} \,d x","Not used",1,"int(1/(x^4*(x^4 + 1)^(1/2)), x)","F"
931,0,-1,76,0.000000,"\text{Not used}","int(1/(x^8*(x^4 + 1)^(1/2)),x)","\int \frac{1}{x^8\,\sqrt{x^4+1}} \,d x","Not used",1,"int(1/(x^8*(x^4 + 1)^(1/2)), x)","F"
932,0,-1,140,0.000000,"\text{Not used}","int(x^10/(x^4 + 1)^(1/2),x)","\int \frac{x^{10}}{\sqrt{x^4+1}} \,d x","Not used",1,"int(x^10/(x^4 + 1)^(1/2), x)","F"
933,0,-1,124,0.000000,"\text{Not used}","int(x^6/(x^4 + 1)^(1/2),x)","\int \frac{x^6}{\sqrt{x^4+1}} \,d x","Not used",1,"int(x^6/(x^4 + 1)^(1/2), x)","F"
934,0,-1,103,0.000000,"\text{Not used}","int(x^2/(x^4 + 1)^(1/2),x)","\int \frac{x^2}{\sqrt{x^4+1}} \,d x","Not used",1,"int(x^2/(x^4 + 1)^(1/2), x)","F"
935,1,15,117,1.139280,"\text{Not used}","int(1/(x^2*(x^4 + 1)^(1/2)),x)","-\frac{{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{1}{2};\ \frac{3}{4};\ -x^4\right)}{x}","Not used",1,"-hypergeom([-1/4, 1/2], 3/4, -x^4)/x","B"
936,0,-1,140,0.000000,"\text{Not used}","int(1/(x^6*(x^4 + 1)^(1/2)),x)","\int \frac{1}{x^6\,\sqrt{x^4+1}} \,d x","Not used",1,"int(1/(x^6*(x^4 + 1)^(1/2)), x)","F"
937,1,25,38,1.317317,"\text{Not used}","int(x^11/(x^4 + 1)^(3/2),x)","-\frac{6\,x^4-{\left(x^4+1\right)}^2+9}{6\,\sqrt{x^4+1}}","Not used",1,"-(6*x^4 - (x^4 + 1)^2 + 9)/(6*(x^4 + 1)^(1/2))","B"
938,1,14,27,1.158219,"\text{Not used}","int(x^7/(x^4 + 1)^(3/2),x)","\frac{x^4+2}{2\,\sqrt{x^4+1}}","Not used",1,"(x^4 + 2)/(2*(x^4 + 1)^(1/2))","B"
939,1,9,13,1.174667,"\text{Not used}","int(x^3/(x^4 + 1)^(3/2),x)","-\frac{1}{2\,\sqrt{x^4+1}}","Not used",1,"-1/(2*(x^4 + 1)^(1/2))","B"
940,1,20,28,1.190379,"\text{Not used}","int(1/(x*(x^4 + 1)^(3/2)),x)","\frac{1}{2\,\sqrt{x^4+1}}-\frac{\mathrm{atanh}\left(\sqrt{x^4+1}\right)}{2}","Not used",1,"1/(2*(x^4 + 1)^(1/2)) - atanh((x^4 + 1)^(1/2))/2","B"
941,1,32,44,1.236608,"\text{Not used}","int(1/(x^5*(x^4 + 1)^(3/2)),x)","\frac{3\,\mathrm{atanh}\left(\sqrt{x^4+1}\right)}{4}-\frac{3}{4\,\sqrt{x^4+1}}-\frac{1}{4\,x^4\,\sqrt{x^4+1}}","Not used",1,"(3*atanh((x^4 + 1)^(1/2)))/4 - 3/(4*(x^4 + 1)^(1/2)) - 1/(4*x^4*(x^4 + 1)^(1/2))","B"
942,0,-1,41,0.000000,"\text{Not used}","int(x^9/(x^4 + 1)^(3/2),x)","\int \frac{x^9}{{\left(x^4+1\right)}^{3/2}} \,d x","Not used",1,"int(x^9/(x^4 + 1)^(3/2), x)","F"
943,0,-1,25,0.000000,"\text{Not used}","int(x^5/(x^4 + 1)^(3/2),x)","\int \frac{x^5}{{\left(x^4+1\right)}^{3/2}} \,d x","Not used",1,"int(x^5/(x^4 + 1)^(3/2), x)","F"
944,1,12,16,1.049300,"\text{Not used}","int(x/(x^4 + 1)^(3/2),x)","\frac{x^2}{2\,\sqrt{x^4+1}}","Not used",1,"x^2/(2*(x^4 + 1)^(1/2))","B"
945,1,17,31,1.135865,"\text{Not used}","int(1/(x^3*(x^4 + 1)^(3/2)),x)","-\frac{x^4+\frac{1}{2}}{x^2\,\sqrt{x^4+1}}","Not used",1,"-(x^4 + 1/2)/(x^2*(x^4 + 1)^(1/2))","B"
946,1,28,49,1.229950,"\text{Not used}","int(1/(x^7*(x^4 + 1)^(3/2)),x)","-\frac{12\,x^4-8\,{\left(x^4+1\right)}^2+9}{6\,x^6\,\sqrt{x^4+1}}","Not used",1,"-(12*x^4 - 8*(x^4 + 1)^2 + 9)/(6*x^6*(x^4 + 1)^(1/2))","B"
947,0,-1,90,0.000000,"\text{Not used}","int(x^12/(x^4 + 1)^(3/2),x)","\int \frac{x^{12}}{{\left(x^4+1\right)}^{3/2}} \,d x","Not used",1,"int(x^12/(x^4 + 1)^(3/2), x)","F"
948,0,-1,74,0.000000,"\text{Not used}","int(x^8/(x^4 + 1)^(3/2),x)","\int \frac{x^8}{{\left(x^4+1\right)}^{3/2}} \,d x","Not used",1,"int(x^8/(x^4 + 1)^(3/2), x)","F"
949,0,-1,58,0.000000,"\text{Not used}","int(x^4/(x^4 + 1)^(3/2),x)","\int \frac{x^4}{{\left(x^4+1\right)}^{3/2}} \,d x","Not used",1,"int(x^4/(x^4 + 1)^(3/2), x)","F"
950,1,12,58,0.081351,"\text{Not used}","int(1/(x^4 + 1)^(3/2),x)","x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{2};\ \frac{5}{4};\ -x^4\right)","Not used",1,"x*hypergeom([1/4, 3/2], 5/4, -x^4)","B"
951,0,-1,76,0.000000,"\text{Not used}","int(1/(x^4*(x^4 + 1)^(3/2)),x)","\int \frac{1}{x^4\,{\left(x^4+1\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^4*(x^4 + 1)^(3/2)), x)","F"
952,0,-1,92,0.000000,"\text{Not used}","int(1/(x^8*(x^4 + 1)^(3/2)),x)","\int \frac{1}{x^8\,{\left(x^4+1\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^8*(x^4 + 1)^(3/2)), x)","F"
953,0,-1,156,0.000000,"\text{Not used}","int(x^14/(x^4 + 1)^(3/2),x)","\int \frac{x^{14}}{{\left(x^4+1\right)}^{3/2}} \,d x","Not used",1,"int(x^14/(x^4 + 1)^(3/2), x)","F"
954,0,-1,140,0.000000,"\text{Not used}","int(x^10/(x^4 + 1)^(3/2),x)","\int \frac{x^{10}}{{\left(x^4+1\right)}^{3/2}} \,d x","Not used",1,"int(x^10/(x^4 + 1)^(3/2), x)","F"
955,0,-1,124,0.000000,"\text{Not used}","int(x^6/(x^4 + 1)^(3/2),x)","\int \frac{x^6}{{\left(x^4+1\right)}^{3/2}} \,d x","Not used",1,"int(x^6/(x^4 + 1)^(3/2), x)","F"
956,0,-1,124,0.000000,"\text{Not used}","int(x^2/(x^4 + 1)^(3/2),x)","\int \frac{x^2}{{\left(x^4+1\right)}^{3/2}} \,d x","Not used",1,"int(x^2/(x^4 + 1)^(3/2), x)","F"
957,1,15,140,1.143392,"\text{Not used}","int(1/(x^2*(x^4 + 1)^(3/2)),x)","-\frac{{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{3}{2};\ \frac{3}{4};\ -x^4\right)}{x}","Not used",1,"-hypergeom([-1/4, 3/2], 3/4, -x^4)/x","B"
958,0,-1,156,0.000000,"\text{Not used}","int(1/(x^6*(x^4 + 1)^(3/2)),x)","\int \frac{1}{x^6\,{\left(x^4+1\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^6*(x^4 + 1)^(3/2)), x)","F"
959,1,12,72,1.068744,"\text{Not used}","int(1/(x^4 + 1)^(5/2),x)","x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{5}{2};\ \frac{5}{4};\ -x^4\right)","Not used",1,"x*hypergeom([1/4, 5/2], 5/4, -x^4)","B"
960,1,16,29,1.186619,"\text{Not used}","int(x^7/(16 - x^4)^(1/2),x)","-\frac{\sqrt{16-x^4}\,\left(x^4+32\right)}{6}","Not used",1,"-((16 - x^4)^(1/2)*(x^4 + 32))/6","B"
961,0,-1,29,0.000000,"\text{Not used}","int(x^5/(16 - x^4)^(1/2),x)","\int \frac{x^5}{\sqrt{16-x^4}} \,d x","Not used",1,"int(x^5/(16 - x^4)^(1/2), x)","F"
962,1,11,15,1.228096,"\text{Not used}","int(x^3/(16 - x^4)^(1/2),x)","-\frac{\sqrt{16-x^4}}{2}","Not used",1,"-(16 - x^4)^(1/2)/2","B"
963,1,16,12,0.166962,"\text{Not used}","int(x/(16 - x^4)^(1/2),x)","\frac{\mathrm{atan}\left(\frac{x^2}{\sqrt{16-x^4}}\right)}{2}","Not used",1,"atan(x^2/(16 - x^4)^(1/2))/2","B"
964,1,14,20,1.277323,"\text{Not used}","int(1/(x*(16 - x^4)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\frac{\sqrt{16-x^4}}{4}\right)}{8}","Not used",1,"-atanh((16 - x^4)^(1/2)/4)/8","B"
965,1,14,18,1.140252,"\text{Not used}","int(1/(x^3*(16 - x^4)^(1/2)),x)","-\frac{\sqrt{16-x^4}}{32\,x^2}","Not used",1,"-(16 - x^4)^(1/2)/(32*x^2)","B"
966,1,29,39,1.194783,"\text{Not used}","int(1/(x^5*(16 - x^4)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\frac{\sqrt{16-x^4}}{4}\right)}{256}-\frac{\sqrt{16-x^4}}{64\,x^4}","Not used",1,"- atanh((16 - x^4)^(1/2)/4)/256 - (16 - x^4)^(1/2)/(64*x^4)","B"
967,1,19,37,1.136834,"\text{Not used}","int(1/(x^7*(16 - x^4)^(1/2)),x)","-\frac{\left(x^4+8\right)\,\sqrt{16-x^4}}{768\,x^6}","Not used",1,"-((x^4 + 8)*(16 - x^4)^(1/2))/(768*x^6)","B"
968,0,-1,43,0.000000,"\text{Not used}","int(x^6/(16 - x^4)^(1/2),x)","\int \frac{x^6}{\sqrt{16-x^4}} \,d x","Not used",1,"int(x^6/(16 - x^4)^(1/2), x)","F"
969,0,-1,29,0.000000,"\text{Not used}","int(x^4/(16 - x^4)^(1/2),x)","\int \frac{x^4}{\sqrt{16-x^4}} \,d x","Not used",1,"int(x^4/(16 - x^4)^(1/2), x)","F"
970,0,-1,21,0.000000,"\text{Not used}","int(x^2/(16 - x^4)^(1/2),x)","\int \frac{x^2}{\sqrt{16-x^4}} \,d x","Not used",1,"int(x^2/(16 - x^4)^(1/2), x)","F"
971,1,13,12,0.072954,"\text{Not used}","int(1/(16 - x^4)^(1/2),x)","\frac{x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{5}{4};\ \frac{x^4}{16}\right)}{4}","Not used",1,"(x*hypergeom([1/4, 1/2], 5/4, x^4/16))/4","B"
972,1,33,43,1.249660,"\text{Not used}","int(1/(x^2*(16 - x^4)^(1/2)),x)","-\frac{\sqrt{1-\frac{16}{x^4}}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{3}{4};\ \frac{7}{4};\ \frac{16}{x^4}\right)}{3\,x\,\sqrt{16-x^4}}","Not used",1,"-((1 - 16/x^4)^(1/2)*hypergeom([1/2, 3/4], 7/4, 16/x^4))/(3*x*(16 - x^4)^(1/2))","B"
973,0,-1,31,0.000000,"\text{Not used}","int(1/(x^4*(16 - x^4)^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{16-x^4}} \,d x","Not used",1,"int(1/(x^4*(16 - x^4)^(1/2)), x)","F"
974,1,14,18,0.084043,"\text{Not used}","int(x/(x^4 - 4)^(1/2),x)","\frac{\ln\left(\sqrt{x^4-4}+x^2\right)}{2}","Not used",1,"log((x^4 - 4)^(1/2) + x^2)/2","B"
975,1,8,12,0.034943,"\text{Not used}","int(x/(x^4 + 4)^(1/2),x)","\frac{\mathrm{asinh}\left(\frac{x^2}{2}\right)}{2}","Not used",1,"asinh(x^2/2)/2","B"
976,1,10,14,0.151687,"\text{Not used}","int(1/(x*(x^4 - 1)^(1/2)),x)","\frac{\mathrm{atan}\left(\sqrt{x^4-1}\right)}{2}","Not used",1,"atan((x^4 - 1)^(1/2))/2","B"
977,0,-1,72,0.000000,"\text{Not used}","int(x^4/(x^4 - 1)^(1/2),x)","\int \frac{x^4}{\sqrt{x^4-1}} \,d x","Not used",1,"int(x^4/(x^4 - 1)^(1/2), x)","F"
978,1,26,54,1.109627,"\text{Not used}","int(1/(x^4 - 1)^(1/2),x)","\frac{x\,\sqrt{1-x^4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{5}{4};\ x^4\right)}{\sqrt{x^4-1}}","Not used",1,"(x*(1 - x^4)^(1/2)*hypergeom([1/4, 1/2], 5/4, x^4))/(x^4 - 1)^(1/2)","B"
979,0,-1,74,0.000000,"\text{Not used}","int(1/(x^4*(x^4 - 1)^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{x^4-1}} \,d x","Not used",1,"int(1/(x^4*(x^4 - 1)^(1/2)), x)","F"
980,0,-1,150,0.000000,"\text{Not used}","int(x^6/(x^4 - 1)^(1/2),x)","\int \frac{x^6}{\sqrt{x^4-1}} \,d x","Not used",1,"int(x^6/(x^4 - 1)^(1/2), x)","F"
981,0,-1,126,0.000000,"\text{Not used}","int(x^2/(x^4 - 1)^(1/2),x)","\int \frac{x^2}{\sqrt{x^4-1}} \,d x","Not used",1,"int(x^2/(x^4 - 1)^(1/2), x)","F"
982,1,18,140,1.211672,"\text{Not used}","int(1/(x^2*(x^4 - 1)^(1/2)),x)","-\frac{\sqrt{\frac{1}{x^4}}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{3}{4};\ \frac{7}{4};\ \frac{1}{x^4}\right)}{3\,x}","Not used",1,"-((1/x^4)^(1/2)*hypergeom([1/2, 3/4], 7/4, 1/x^4))/(3*x)","B"
983,0,-1,48,0.000000,"\text{Not used}","int(x^2/(3 - 2*x^4)^(1/2),x)","\int \frac{x^2}{\sqrt{3-2\,x^4}} \,d x","Not used",1,"int(x^2/(3 - 2*x^4)^(1/2), x)","F"
984,0,-1,54,0.000000,"\text{Not used}","int(x^2/(3 - b*x^4)^(1/2),x)","\int \frac{x^2}{\sqrt{3-b\,x^4}} \,d x","Not used",1,"int(x^2/(3 - b*x^4)^(1/2), x)","F"
985,1,16,27,1.099880,"\text{Not used}","int(x^7*(x^4 + 1)^(1/3),x)","\frac{3\,{\left(x^4+1\right)}^{4/3}\,\left(4\,x^4-3\right)}{112}","Not used",1,"(3*(x^4 + 1)^(4/3)*(4*x^4 - 3))/112","B"
986,1,9,13,1.095018,"\text{Not used}","int(x^3/(x^4 + 1)^(4/3),x)","-\frac{3}{4\,{\left(x^4+1\right)}^{1/3}}","Not used",1,"-3/(4*(x^4 + 1)^(1/3))","B"
987,1,9,13,0.067583,"\text{Not used}","int(x^3/(x^4 + 1)^(1/3),x)","\frac{3\,{\left(x^4+1\right)}^{2/3}}{8}","Not used",1,"(3*(x^4 + 1)^(2/3))/8","B"
988,1,66,101,1.148469,"\text{Not used}","int(x^19*(a + b*x^4)^(1/4),x)","{\left(b\,x^4+a\right)}^{1/4}\,\left(\frac{x^{20}}{21}+\frac{2048\,a^5}{69615\,b^5}+\frac{a\,x^{16}}{357\,b}-\frac{512\,a^4\,x^4}{69615\,b^4}+\frac{64\,a^3\,x^8}{13923\,b^3}-\frac{16\,a^2\,x^{12}}{4641\,b^2}\right)","Not used",1,"(a + b*x^4)^(1/4)*(x^20/21 + (2048*a^5)/(69615*b^5) + (a*x^16)/(357*b) - (512*a^4*x^4)/(69615*b^4) + (64*a^3*x^8)/(13923*b^3) - (16*a^2*x^12)/(4641*b^2))","B"
989,1,55,80,1.129921,"\text{Not used}","int(x^15*(a + b*x^4)^(1/4),x)","{\left(b\,x^4+a\right)}^{1/4}\,\left(\frac{x^{16}}{17}-\frac{128\,a^4}{3315\,b^4}+\frac{a\,x^{12}}{221\,b}+\frac{32\,a^3\,x^4}{3315\,b^3}-\frac{4\,a^2\,x^8}{663\,b^2}\right)","Not used",1,"(a + b*x^4)^(1/4)*(x^16/17 - (128*a^4)/(3315*b^4) + (a*x^12)/(221*b) + (32*a^3*x^4)/(3315*b^3) - (4*a^2*x^8)/(663*b^2))","B"
990,1,44,59,1.120548,"\text{Not used}","int(x^11*(a + b*x^4)^(1/4),x)","{\left(b\,x^4+a\right)}^{1/4}\,\left(\frac{x^{12}}{13}+\frac{32\,a^3}{585\,b^3}+\frac{a\,x^8}{117\,b}-\frac{8\,a^2\,x^4}{585\,b^2}\right)","Not used",1,"(a + b*x^4)^(1/4)*(x^12/13 + (32*a^3)/(585*b^3) + (a*x^8)/(117*b) - (8*a^2*x^4)/(585*b^2))","B"
991,1,33,38,1.101587,"\text{Not used}","int(x^7*(a + b*x^4)^(1/4),x)","{\left(b\,x^4+a\right)}^{1/4}\,\left(\frac{x^8}{9}-\frac{4\,a^2}{45\,b^2}+\frac{a\,x^4}{45\,b}\right)","Not used",1,"(a + b*x^4)^(1/4)*(x^8/9 - (4*a^2)/(45*b^2) + (a*x^4)/(45*b))","B"
992,1,14,18,1.133617,"\text{Not used}","int(x^3*(a + b*x^4)^(1/4),x)","\frac{{\left(b\,x^4+a\right)}^{5/4}}{5\,b}","Not used",1,"(a + b*x^4)^(5/4)/(5*b)","B"
993,1,48,66,1.180148,"\text{Not used}","int((a + b*x^4)^(1/4)/x,x)","{\left(b\,x^4+a\right)}^{1/4}-\frac{a^{1/4}\,\mathrm{atanh}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{2}-\frac{a^{1/4}\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{2}","Not used",1,"(a + b*x^4)^(1/4) - (a^(1/4)*atanh((a + b*x^4)^(1/4)/a^(1/4)))/2 - (a^(1/4)*atan((a + b*x^4)^(1/4)/a^(1/4)))/2","B"
994,1,55,75,1.276577,"\text{Not used}","int((a + b*x^4)^(1/4)/x^5,x)","-\frac{{\left(b\,x^4+a\right)}^{1/4}}{4\,x^4}-\frac{b\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{3/4}}-\frac{b\,\mathrm{atanh}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{3/4}}","Not used",1,"- (a + b*x^4)^(1/4)/(4*x^4) - (b*atan((a + b*x^4)^(1/4)/a^(1/4)))/(8*a^(3/4)) - (b*atanh((a + b*x^4)^(1/4)/a^(1/4)))/(8*a^(3/4))","B"
995,1,79,101,1.385918,"\text{Not used}","int((a + b*x^4)^(1/4)/x^9,x)","\frac{3\,b^2\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{64\,a^{7/4}}-\frac{3\,{\left(b\,x^4+a\right)}^{1/4}}{32\,x^8}-\frac{{\left(b\,x^4+a\right)}^{5/4}}{32\,a\,x^8}-\frac{b^2\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}\,1{}\mathrm{i}}{a^{1/4}}\right)\,3{}\mathrm{i}}{64\,a^{7/4}}","Not used",1,"(3*b^2*atan((a + b*x^4)^(1/4)/a^(1/4)))/(64*a^(7/4)) - (3*(a + b*x^4)^(1/4))/(32*x^8) - (b^2*atan(((a + b*x^4)^(1/4)*1i)/a^(1/4))*3i)/(64*a^(7/4)) - (a + b*x^4)^(5/4)/(32*a*x^8)","B"
996,0,-1,125,0.000000,"\text{Not used}","int(x^9*(a + b*x^4)^(1/4),x)","\int x^9\,{\left(b\,x^4+a\right)}^{1/4} \,d x","Not used",1,"int(x^9*(a + b*x^4)^(1/4), x)","F"
997,0,-1,101,0.000000,"\text{Not used}","int(x^5*(a + b*x^4)^(1/4),x)","\int x^5\,{\left(b\,x^4+a\right)}^{1/4} \,d x","Not used",1,"int(x^5*(a + b*x^4)^(1/4), x)","F"
998,0,-1,79,0.000000,"\text{Not used}","int(x*(a + b*x^4)^(1/4),x)","\int x\,{\left(b\,x^4+a\right)}^{1/4} \,d x","Not used",1,"int(x*(a + b*x^4)^(1/4), x)","F"
999,0,-1,79,0.000000,"\text{Not used}","int((a + b*x^4)^(1/4)/x^3,x)","\int \frac{{\left(b\,x^4+a\right)}^{1/4}}{x^3} \,d x","Not used",1,"int((a + b*x^4)^(1/4)/x^3, x)","F"
1000,0,-1,101,0.000000,"\text{Not used}","int((a + b*x^4)^(1/4)/x^7,x)","\int \frac{{\left(b\,x^4+a\right)}^{1/4}}{x^7} \,d x","Not used",1,"int((a + b*x^4)^(1/4)/x^7, x)","F"
1001,0,-1,125,0.000000,"\text{Not used}","int((a + b*x^4)^(1/4)/x^11,x)","\int \frac{{\left(b\,x^4+a\right)}^{1/4}}{x^{11}} \,d x","Not used",1,"int((a + b*x^4)^(1/4)/x^11, x)","F"
1002,0,-1,103,0.000000,"\text{Not used}","int(x^6*(a + b*x^4)^(1/4),x)","\int x^6\,{\left(b\,x^4+a\right)}^{1/4} \,d x","Not used",1,"int(x^6*(a + b*x^4)^(1/4), x)","F"
1003,0,-1,77,0.000000,"\text{Not used}","int(x^2*(a + b*x^4)^(1/4),x)","\int x^2\,{\left(b\,x^4+a\right)}^{1/4} \,d x","Not used",1,"int(x^2*(a + b*x^4)^(1/4), x)","F"
1004,1,40,73,1.229405,"\text{Not used}","int((a + b*x^4)^(1/4)/x^2,x)","-\frac{{\left(b\,x^4+a\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},-\frac{1}{4};\ \frac{3}{4};\ -\frac{b\,x^4}{a}\right)}{x\,{\left(\frac{b\,x^4}{a}+1\right)}^{1/4}}","Not used",1,"-((a + b*x^4)^(1/4)*hypergeom([-1/4, -1/4], 3/4, -(b*x^4)/a))/(x*((b*x^4)/a + 1)^(1/4))","B"
1005,1,17,21,1.287894,"\text{Not used}","int((a + b*x^4)^(1/4)/x^6,x)","-\frac{{\left(b\,x^4+a\right)}^{5/4}}{5\,a\,x^5}","Not used",1,"-(a + b*x^4)^(5/4)/(5*a*x^5)","B"
1006,1,37,44,1.300432,"\text{Not used}","int((a + b*x^4)^(1/4)/x^10,x)","-\frac{{\left(b\,x^4+a\right)}^{1/4}\,\left(5\,a^2+a\,b\,x^4-4\,b^2\,x^8\right)}{45\,a^2\,x^9}","Not used",1,"-((a + b*x^4)^(1/4)*(5*a^2 - 4*b^2*x^8 + a*b*x^4))/(45*a^2*x^9)","B"
1007,1,73,68,1.478008,"\text{Not used}","int((a + b*x^4)^(1/4)/x^14,x)","\frac{8\,b^2\,{\left(b\,x^4+a\right)}^{1/4}}{585\,a^2\,x^5}-\frac{b\,{\left(b\,x^4+a\right)}^{1/4}}{117\,a\,x^9}-\frac{32\,b^3\,{\left(b\,x^4+a\right)}^{1/4}}{585\,a^3\,x}-\frac{{\left(b\,x^4+a\right)}^{1/4}}{13\,x^{13}}","Not used",1,"(8*b^2*(a + b*x^4)^(1/4))/(585*a^2*x^5) - (b*(a + b*x^4)^(1/4))/(117*a*x^9) - (32*b^3*(a + b*x^4)^(1/4))/(585*a^3*x) - (a + b*x^4)^(1/4)/(13*x^13)","B"
1008,1,93,92,1.695490,"\text{Not used}","int((a + b*x^4)^(1/4)/x^18,x)","\frac{128\,b^4\,{\left(b\,x^4+a\right)}^{1/4}}{3315\,a^4\,x}-\frac{b\,{\left(b\,x^4+a\right)}^{1/4}}{221\,a\,x^{13}}-\frac{{\left(b\,x^4+a\right)}^{1/4}}{17\,x^{17}}-\frac{32\,b^3\,{\left(b\,x^4+a\right)}^{1/4}}{3315\,a^3\,x^5}+\frac{4\,b^2\,{\left(b\,x^4+a\right)}^{1/4}}{663\,a^2\,x^9}","Not used",1,"(128*b^4*(a + b*x^4)^(1/4))/(3315*a^4*x) - (b*(a + b*x^4)^(1/4))/(221*a*x^13) - (a + b*x^4)^(1/4)/(17*x^17) - (32*b^3*(a + b*x^4)^(1/4))/(3315*a^3*x^5) + (4*b^2*(a + b*x^4)^(1/4))/(663*a^2*x^9)","B"
1009,0,-1,150,0.000000,"\text{Not used}","int(x^12*(a + b*x^4)^(1/4),x)","\int x^{12}\,{\left(b\,x^4+a\right)}^{1/4} \,d x","Not used",1,"int(x^12*(a + b*x^4)^(1/4), x)","F"
1010,0,-1,126,0.000000,"\text{Not used}","int(x^8*(a + b*x^4)^(1/4),x)","\int x^8\,{\left(b\,x^4+a\right)}^{1/4} \,d x","Not used",1,"int(x^8*(a + b*x^4)^(1/4), x)","F"
1011,0,-1,102,0.000000,"\text{Not used}","int(x^4*(a + b*x^4)^(1/4),x)","\int x^4\,{\left(b\,x^4+a\right)}^{1/4} \,d x","Not used",1,"int(x^4*(a + b*x^4)^(1/4), x)","F"
1012,1,37,80,1.032418,"\text{Not used}","int((a + b*x^4)^(1/4),x)","\frac{x\,{\left(b\,x^4+a\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{b\,x^4}{a}\right)}{{\left(\frac{b\,x^4}{a}+1\right)}^{1/4}}","Not used",1,"(x*(a + b*x^4)^(1/4)*hypergeom([-1/4, 1/4], 5/4, -(b*x^4)/a))/((b*x^4)/a + 1)^(1/4)","B"
1013,0,-1,82,0.000000,"\text{Not used}","int((a + b*x^4)^(1/4)/x^4,x)","\int \frac{{\left(b\,x^4+a\right)}^{1/4}}{x^4} \,d x","Not used",1,"int((a + b*x^4)^(1/4)/x^4, x)","F"
1014,0,-1,104,0.000000,"\text{Not used}","int((a + b*x^4)^(1/4)/x^8,x)","\int \frac{{\left(b\,x^4+a\right)}^{1/4}}{x^8} \,d x","Not used",1,"int((a + b*x^4)^(1/4)/x^8, x)","F"
1015,0,-1,128,0.000000,"\text{Not used}","int((a + b*x^4)^(1/4)/x^12,x)","\int \frac{{\left(b\,x^4+a\right)}^{1/4}}{x^{12}} \,d x","Not used",1,"int((a + b*x^4)^(1/4)/x^12, x)","F"
1016,0,-1,152,0.000000,"\text{Not used}","int((a + b*x^4)^(1/4)/x^16,x)","\int \frac{{\left(b\,x^4+a\right)}^{1/4}}{x^{16}} \,d x","Not used",1,"int((a + b*x^4)^(1/4)/x^16, x)","F"
1017,1,66,101,1.125545,"\text{Not used}","int(x^19*(a + b*x^4)^(3/4),x)","{\left(b\,x^4+a\right)}^{3/4}\,\left(\frac{x^{20}}{23}+\frac{2048\,a^5}{168245\,b^5}+\frac{3\,a\,x^{16}}{437\,b}-\frac{1536\,a^4\,x^4}{168245\,b^4}+\frac{192\,a^3\,x^8}{24035\,b^3}-\frac{16\,a^2\,x^{12}}{2185\,b^2}\right)","Not used",1,"(a + b*x^4)^(3/4)*(x^20/23 + (2048*a^5)/(168245*b^5) + (3*a*x^16)/(437*b) - (1536*a^4*x^4)/(168245*b^4) + (192*a^3*x^8)/(24035*b^3) - (16*a^2*x^12)/(2185*b^2))","B"
1018,1,55,80,1.091473,"\text{Not used}","int(x^15*(a + b*x^4)^(3/4),x)","{\left(b\,x^4+a\right)}^{3/4}\,\left(\frac{x^{16}}{19}-\frac{128\,a^4}{7315\,b^4}+\frac{a\,x^{12}}{95\,b}+\frac{96\,a^3\,x^4}{7315\,b^3}-\frac{12\,a^2\,x^8}{1045\,b^2}\right)","Not used",1,"(a + b*x^4)^(3/4)*(x^16/19 - (128*a^4)/(7315*b^4) + (a*x^12)/(95*b) + (96*a^3*x^4)/(7315*b^3) - (12*a^2*x^8)/(1045*b^2))","B"
1019,1,44,59,1.076455,"\text{Not used}","int(x^11*(a + b*x^4)^(3/4),x)","{\left(b\,x^4+a\right)}^{3/4}\,\left(\frac{x^{12}}{15}+\frac{32\,a^3}{1155\,b^3}+\frac{a\,x^8}{55\,b}-\frac{8\,a^2\,x^4}{385\,b^2}\right)","Not used",1,"(a + b*x^4)^(3/4)*(x^12/15 + (32*a^3)/(1155*b^3) + (a*x^8)/(55*b) - (8*a^2*x^4)/(385*b^2))","B"
1020,1,33,38,1.084513,"\text{Not used}","int(x^7*(a + b*x^4)^(3/4),x)","{\left(b\,x^4+a\right)}^{3/4}\,\left(\frac{x^8}{11}-\frac{4\,a^2}{77\,b^2}+\frac{3\,a\,x^4}{77\,b}\right)","Not used",1,"(a + b*x^4)^(3/4)*(x^8/11 - (4*a^2)/(77*b^2) + (3*a*x^4)/(77*b))","B"
1021,1,14,18,1.074216,"\text{Not used}","int(x^3*(a + b*x^4)^(3/4),x)","\frac{{\left(b\,x^4+a\right)}^{7/4}}{7\,b}","Not used",1,"(a + b*x^4)^(7/4)/(7*b)","B"
1022,1,50,70,1.137099,"\text{Not used}","int((a + b*x^4)^(3/4)/x,x)","\frac{a^{3/4}\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{2}-\frac{a^{3/4}\,\mathrm{atanh}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{2}+\frac{{\left(b\,x^4+a\right)}^{3/4}}{3}","Not used",1,"(a^(3/4)*atan((a + b*x^4)^(1/4)/a^(1/4)))/2 - (a^(3/4)*atanh((a + b*x^4)^(1/4)/a^(1/4)))/2 + (a + b*x^4)^(3/4)/3","B"
1023,1,55,75,1.260875,"\text{Not used}","int((a + b*x^4)^(3/4)/x^5,x)","\frac{3\,b\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{1/4}}-\frac{{\left(b\,x^4+a\right)}^{3/4}}{4\,x^4}-\frac{3\,b\,\mathrm{atanh}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{1/4}}","Not used",1,"(3*b*atan((a + b*x^4)^(1/4)/a^(1/4)))/(8*a^(1/4)) - (a + b*x^4)^(3/4)/(4*x^4) - (3*b*atanh((a + b*x^4)^(1/4)/a^(1/4)))/(8*a^(1/4))","B"
1024,1,79,101,1.421035,"\text{Not used}","int((a + b*x^4)^(3/4)/x^9,x)","-\frac{{\left(b\,x^4+a\right)}^{3/4}}{32\,x^8}-\frac{3\,b^2\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{64\,a^{5/4}}-\frac{3\,{\left(b\,x^4+a\right)}^{7/4}}{32\,a\,x^8}-\frac{b^2\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}\,1{}\mathrm{i}}{a^{1/4}}\right)\,3{}\mathrm{i}}{64\,a^{5/4}}","Not used",1,"- (a + b*x^4)^(3/4)/(32*x^8) - (3*b^2*atan((a + b*x^4)^(1/4)/a^(1/4)))/(64*a^(5/4)) - (b^2*atan(((a + b*x^4)^(1/4)*1i)/a^(1/4))*3i)/(64*a^(5/4)) - (3*(a + b*x^4)^(7/4))/(32*a*x^8)","B"
1025,0,-1,149,0.000000,"\text{Not used}","int(x^9*(a + b*x^4)^(3/4),x)","\int x^9\,{\left(b\,x^4+a\right)}^{3/4} \,d x","Not used",1,"int(x^9*(a + b*x^4)^(3/4), x)","F"
1026,0,-1,125,0.000000,"\text{Not used}","int(x^5*(a + b*x^4)^(3/4),x)","\int x^5\,{\left(b\,x^4+a\right)}^{3/4} \,d x","Not used",1,"int(x^5*(a + b*x^4)^(3/4), x)","F"
1027,0,-1,98,0.000000,"\text{Not used}","int(x*(a + b*x^4)^(3/4),x)","\int x\,{\left(b\,x^4+a\right)}^{3/4} \,d x","Not used",1,"int(x*(a + b*x^4)^(3/4), x)","F"
1028,0,-1,98,0.000000,"\text{Not used}","int((a + b*x^4)^(3/4)/x^3,x)","\int \frac{{\left(b\,x^4+a\right)}^{3/4}}{x^3} \,d x","Not used",1,"int((a + b*x^4)^(3/4)/x^3, x)","F"
1029,0,-1,125,0.000000,"\text{Not used}","int((a + b*x^4)^(3/4)/x^7,x)","\int \frac{{\left(b\,x^4+a\right)}^{3/4}}{x^7} \,d x","Not used",1,"int((a + b*x^4)^(3/4)/x^7, x)","F"
1030,0,-1,149,0.000000,"\text{Not used}","int((a + b*x^4)^(3/4)/x^11,x)","\int \frac{{\left(b\,x^4+a\right)}^{3/4}}{x^{11}} \,d x","Not used",1,"int((a + b*x^4)^(3/4)/x^11, x)","F"
1031,0,-1,149,0.000000,"\text{Not used}","int(x^12*(a + b*x^4)^(3/4),x)","\int x^{12}\,{\left(b\,x^4+a\right)}^{3/4} \,d x","Not used",1,"int(x^12*(a + b*x^4)^(3/4), x)","F"
1032,0,-1,125,0.000000,"\text{Not used}","int(x^8*(a + b*x^4)^(3/4),x)","\int x^8\,{\left(b\,x^4+a\right)}^{3/4} \,d x","Not used",1,"int(x^8*(a + b*x^4)^(3/4), x)","F"
1033,0,-1,101,0.000000,"\text{Not used}","int(x^4*(a + b*x^4)^(3/4),x)","\int x^4\,{\left(b\,x^4+a\right)}^{3/4} \,d x","Not used",1,"int(x^4*(a + b*x^4)^(3/4), x)","F"
1034,1,37,75,1.057938,"\text{Not used}","int((a + b*x^4)^(3/4),x)","\frac{x\,{\left(b\,x^4+a\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{b\,x^4}{a}\right)}{{\left(\frac{b\,x^4}{a}+1\right)}^{3/4}}","Not used",1,"(x*(a + b*x^4)^(3/4)*hypergeom([-3/4, 1/4], 5/4, -(b*x^4)/a))/((b*x^4)/a + 1)^(3/4)","B"
1035,0,-1,75,0.000000,"\text{Not used}","int((a + b*x^4)^(3/4)/x^4,x)","\int \frac{{\left(b\,x^4+a\right)}^{3/4}}{x^4} \,d x","Not used",1,"int((a + b*x^4)^(3/4)/x^4, x)","F"
1036,1,17,21,1.247374,"\text{Not used}","int((a + b*x^4)^(3/4)/x^8,x)","-\frac{{\left(b\,x^4+a\right)}^{7/4}}{7\,a\,x^7}","Not used",1,"-(a + b*x^4)^(7/4)/(7*a*x^7)","B"
1037,1,56,44,1.334368,"\text{Not used}","int((a + b*x^4)^(3/4)/x^12,x)","-\frac{7\,a^2\,{\left(b\,x^4+a\right)}^{3/4}-4\,b^2\,x^8\,{\left(b\,x^4+a\right)}^{3/4}+3\,a\,b\,x^4\,{\left(b\,x^4+a\right)}^{3/4}}{77\,a^2\,x^{11}}","Not used",1,"-(7*a^2*(a + b*x^4)^(3/4) - 4*b^2*x^8*(a + b*x^4)^(3/4) + 3*a*b*x^4*(a + b*x^4)^(3/4))/(77*a^2*x^11)","B"
1038,1,73,68,1.547361,"\text{Not used}","int((a + b*x^4)^(3/4)/x^16,x)","\frac{8\,b^2\,{\left(b\,x^4+a\right)}^{3/4}}{385\,a^2\,x^7}-\frac{b\,{\left(b\,x^4+a\right)}^{3/4}}{55\,a\,x^{11}}-\frac{32\,b^3\,{\left(b\,x^4+a\right)}^{3/4}}{1155\,a^3\,x^3}-\frac{{\left(b\,x^4+a\right)}^{3/4}}{15\,x^{15}}","Not used",1,"(8*b^2*(a + b*x^4)^(3/4))/(385*a^2*x^7) - (b*(a + b*x^4)^(3/4))/(55*a*x^11) - (32*b^3*(a + b*x^4)^(3/4))/(1155*a^3*x^3) - (a + b*x^4)^(3/4)/(15*x^15)","B"
1039,1,93,92,1.811131,"\text{Not used}","int((a + b*x^4)^(3/4)/x^20,x)","\frac{128\,b^4\,{\left(b\,x^4+a\right)}^{3/4}}{7315\,a^4\,x^3}-\frac{b\,{\left(b\,x^4+a\right)}^{3/4}}{95\,a\,x^{15}}-\frac{{\left(b\,x^4+a\right)}^{3/4}}{19\,x^{19}}-\frac{96\,b^3\,{\left(b\,x^4+a\right)}^{3/4}}{7315\,a^3\,x^7}+\frac{12\,b^2\,{\left(b\,x^4+a\right)}^{3/4}}{1045\,a^2\,x^{11}}","Not used",1,"(128*b^4*(a + b*x^4)^(3/4))/(7315*a^4*x^3) - (b*(a + b*x^4)^(3/4))/(95*a*x^15) - (a + b*x^4)^(3/4)/(19*x^19) - (96*b^3*(a + b*x^4)^(3/4))/(7315*a^3*x^7) + (12*b^2*(a + b*x^4)^(3/4))/(1045*a^2*x^11)","B"
1040,0,-1,150,0.000000,"\text{Not used}","int(x^10*(a + b*x^4)^(3/4),x)","\int x^{10}\,{\left(b\,x^4+a\right)}^{3/4} \,d x","Not used",1,"int(x^10*(a + b*x^4)^(3/4), x)","F"
1041,0,-1,126,0.000000,"\text{Not used}","int(x^6*(a + b*x^4)^(3/4),x)","\int x^6\,{\left(b\,x^4+a\right)}^{3/4} \,d x","Not used",1,"int(x^6*(a + b*x^4)^(3/4), x)","F"
1042,0,-1,99,0.000000,"\text{Not used}","int(x^2*(a + b*x^4)^(3/4),x)","\int x^2\,{\left(b\,x^4+a\right)}^{3/4} \,d x","Not used",1,"int(x^2*(a + b*x^4)^(3/4), x)","F"
1043,1,40,97,1.349599,"\text{Not used}","int((a + b*x^4)^(3/4)/x^2,x)","\frac{{\left(b\,x^4+a\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},-\frac{1}{2};\ \frac{1}{2};\ -\frac{a}{b\,x^4}\right)}{2\,x\,{\left(\frac{a}{b\,x^4}+1\right)}^{3/4}}","Not used",1,"((a + b*x^4)^(3/4)*hypergeom([-3/4, -1/2], 1/2, -a/(b*x^4)))/(2*x*(a/(b*x^4) + 1)^(3/4))","B"
1044,0,-1,99,0.000000,"\text{Not used}","int((a + b*x^4)^(3/4)/x^6,x)","\int \frac{{\left(b\,x^4+a\right)}^{3/4}}{x^6} \,d x","Not used",1,"int((a + b*x^4)^(3/4)/x^6, x)","F"
1045,0,-1,126,0.000000,"\text{Not used}","int((a + b*x^4)^(3/4)/x^10,x)","\int \frac{{\left(b\,x^4+a\right)}^{3/4}}{x^{10}} \,d x","Not used",1,"int((a + b*x^4)^(3/4)/x^10, x)","F"
1046,0,-1,150,0.000000,"\text{Not used}","int((a + b*x^4)^(3/4)/x^14,x)","\int \frac{{\left(b\,x^4+a\right)}^{3/4}}{x^{14}} \,d x","Not used",1,"int((a + b*x^4)^(3/4)/x^14, x)","F"
1047,1,75,101,1.181477,"\text{Not used}","int(x^19*(a + b*x^4)^(5/4),x)","{\left(b\,x^4+a\right)}^{1/4}\,\left(\frac{26\,a\,x^{20}}{525}+\frac{b\,x^{24}}{25}+\frac{2048\,a^6}{348075\,b^5}-\frac{512\,a^5\,x^4}{348075\,b^4}+\frac{64\,a^4\,x^8}{69615\,b^3}-\frac{16\,a^3\,x^{12}}{23205\,b^2}+\frac{a^2\,x^{16}}{1785\,b}\right)","Not used",1,"(a + b*x^4)^(1/4)*((26*a*x^20)/525 + (b*x^24)/25 + (2048*a^6)/(348075*b^5) - (512*a^5*x^4)/(348075*b^4) + (64*a^4*x^8)/(69615*b^3) - (16*a^3*x^12)/(23205*b^2) + (a^2*x^16)/(1785*b))","B"
1048,1,64,80,1.141707,"\text{Not used}","int(x^15*(a + b*x^4)^(5/4),x)","{\left(b\,x^4+a\right)}^{1/4}\,\left(\frac{22\,a\,x^{16}}{357}+\frac{b\,x^{20}}{21}-\frac{128\,a^5}{13923\,b^4}+\frac{32\,a^4\,x^4}{13923\,b^3}-\frac{20\,a^3\,x^8}{13923\,b^2}+\frac{5\,a^2\,x^{12}}{4641\,b}\right)","Not used",1,"(a + b*x^4)^(1/4)*((22*a*x^16)/357 + (b*x^20)/21 - (128*a^5)/(13923*b^4) + (32*a^4*x^4)/(13923*b^3) - (20*a^3*x^8)/(13923*b^2) + (5*a^2*x^12)/(4641*b))","B"
1049,1,53,59,1.136699,"\text{Not used}","int(x^11*(a + b*x^4)^(5/4),x)","{\left(b\,x^4+a\right)}^{1/4}\,\left(\frac{18\,a\,x^{12}}{221}+\frac{b\,x^{16}}{17}+\frac{32\,a^4}{1989\,b^3}-\frac{8\,a^3\,x^4}{1989\,b^2}+\frac{5\,a^2\,x^8}{1989\,b}\right)","Not used",1,"(a + b*x^4)^(1/4)*((18*a*x^12)/221 + (b*x^16)/17 + (32*a^4)/(1989*b^3) - (8*a^3*x^4)/(1989*b^2) + (5*a^2*x^8)/(1989*b))","B"
1050,1,42,38,1.114684,"\text{Not used}","int(x^7*(a + b*x^4)^(5/4),x)","{\left(b\,x^4+a\right)}^{1/4}\,\left(\frac{14\,a\,x^8}{117}+\frac{b\,x^{12}}{13}-\frac{4\,a^3}{117\,b^2}+\frac{a^2\,x^4}{117\,b}\right)","Not used",1,"(a + b*x^4)^(1/4)*((14*a*x^8)/117 + (b*x^12)/13 - (4*a^3)/(117*b^2) + (a^2*x^4)/(117*b))","B"
1051,1,14,18,1.111107,"\text{Not used}","int(x^3*(a + b*x^4)^(5/4),x)","\frac{{\left(b\,x^4+a\right)}^{9/4}}{9\,b}","Not used",1,"(a + b*x^4)^(9/4)/(9*b)","B"
1052,1,64,83,1.160527,"\text{Not used}","int((a + b*x^4)^(5/4)/x,x)","a\,{\left(b\,x^4+a\right)}^{1/4}-\frac{a^{5/4}\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{2}+\frac{{\left(b\,x^4+a\right)}^{5/4}}{5}+\frac{a^{5/4}\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}\,1{}\mathrm{i}}{a^{1/4}}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(a^(5/4)*atan(((a + b*x^4)^(1/4)*1i)/a^(1/4))*1i)/2 - (a^(5/4)*atan((a + b*x^4)^(1/4)/a^(1/4)))/2 + a*(a + b*x^4)^(1/4) + (a + b*x^4)^(5/4)/5","B"
1053,1,70,91,1.402975,"\text{Not used}","int((a + b*x^4)^(5/4)/x^5,x)","b\,{\left(b\,x^4+a\right)}^{1/4}-\frac{a\,{\left(b\,x^4+a\right)}^{1/4}}{4\,x^4}-\frac{5\,a^{1/4}\,b\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{8}+\frac{a^{1/4}\,b\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}\,1{}\mathrm{i}}{a^{1/4}}\right)\,5{}\mathrm{i}}{8}","Not used",1,"b*(a + b*x^4)^(1/4) - (a*(a + b*x^4)^(1/4))/(4*x^4) - (5*a^(1/4)*b*atan((a + b*x^4)^(1/4)/a^(1/4)))/8 + (a^(1/4)*b*atan(((a + b*x^4)^(1/4)*1i)/a^(1/4))*5i)/8","B"
1054,1,77,98,1.498581,"\text{Not used}","int((a + b*x^4)^(5/4)/x^9,x)","\frac{5\,a\,{\left(b\,x^4+a\right)}^{1/4}}{32\,x^8}-\frac{5\,b^2\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{64\,a^{3/4}}-\frac{9\,{\left(b\,x^4+a\right)}^{5/4}}{32\,x^8}+\frac{b^2\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}\,1{}\mathrm{i}}{a^{1/4}}\right)\,5{}\mathrm{i}}{64\,a^{3/4}}","Not used",1,"(b^2*atan(((a + b*x^4)^(1/4)*1i)/a^(1/4))*5i)/(64*a^(3/4)) - (5*b^2*atan((a + b*x^4)^(1/4)/a^(1/4)))/(64*a^(3/4)) - (9*(a + b*x^4)^(5/4))/(32*x^8) + (5*a*(a + b*x^4)^(1/4))/(32*x^8)","B"
1055,0,-1,146,0.000000,"\text{Not used}","int(x^9*(a + b*x^4)^(5/4),x)","\int x^9\,{\left(b\,x^4+a\right)}^{5/4} \,d x","Not used",1,"int(x^9*(a + b*x^4)^(5/4), x)","F"
1056,0,-1,122,0.000000,"\text{Not used}","int(x^5*(a + b*x^4)^(5/4),x)","\int x^5\,{\left(b\,x^4+a\right)}^{5/4} \,d x","Not used",1,"int(x^5*(a + b*x^4)^(5/4), x)","F"
1057,0,-1,98,0.000000,"\text{Not used}","int(x*(a + b*x^4)^(5/4),x)","\int x\,{\left(b\,x^4+a\right)}^{5/4} \,d x","Not used",1,"int(x*(a + b*x^4)^(5/4), x)","F"
1058,0,-1,98,0.000000,"\text{Not used}","int((a + b*x^4)^(5/4)/x^3,x)","\int \frac{{\left(b\,x^4+a\right)}^{5/4}}{x^3} \,d x","Not used",1,"int((a + b*x^4)^(5/4)/x^3, x)","F"
1059,0,-1,98,0.000000,"\text{Not used}","int((a + b*x^4)^(5/4)/x^7,x)","\int \frac{{\left(b\,x^4+a\right)}^{5/4}}{x^7} \,d x","Not used",1,"int((a + b*x^4)^(5/4)/x^7, x)","F"
1060,0,-1,122,0.000000,"\text{Not used}","int((a + b*x^4)^(5/4)/x^11,x)","\int \frac{{\left(b\,x^4+a\right)}^{5/4}}{x^{11}} \,d x","Not used",1,"int((a + b*x^4)^(5/4)/x^11, x)","F"
1061,0,-1,146,0.000000,"\text{Not used}","int((a + b*x^4)^(5/4)/x^15,x)","\int \frac{{\left(b\,x^4+a\right)}^{5/4}}{x^{15}} \,d x","Not used",1,"int((a + b*x^4)^(5/4)/x^15, x)","F"
1062,0,-1,148,0.000000,"\text{Not used}","int(x^10*(a + b*x^4)^(5/4),x)","\int x^{10}\,{\left(b\,x^4+a\right)}^{5/4} \,d x","Not used",1,"int(x^10*(a + b*x^4)^(5/4), x)","F"
1063,0,-1,124,0.000000,"\text{Not used}","int(x^6*(a + b*x^4)^(5/4),x)","\int x^6\,{\left(b\,x^4+a\right)}^{5/4} \,d x","Not used",1,"int(x^6*(a + b*x^4)^(5/4), x)","F"
1064,0,-1,100,0.000000,"\text{Not used}","int(x^2*(a + b*x^4)^(5/4),x)","\int x^2\,{\left(b\,x^4+a\right)}^{5/4} \,d x","Not used",1,"int(x^2*(a + b*x^4)^(5/4), x)","F"
1065,1,40,94,1.528982,"\text{Not used}","int((a + b*x^4)^(5/4)/x^2,x)","-\frac{{\left(b\,x^4+a\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{4},-\frac{1}{4};\ \frac{3}{4};\ -\frac{b\,x^4}{a}\right)}{x\,{\left(\frac{b\,x^4}{a}+1\right)}^{5/4}}","Not used",1,"-((a + b*x^4)^(5/4)*hypergeom([-5/4, -1/4], 3/4, -(b*x^4)/a))/(x*((b*x^4)/a + 1)^(5/4))","B"
1066,0,-1,92,0.000000,"\text{Not used}","int((a + b*x^4)^(5/4)/x^6,x)","\int \frac{{\left(b\,x^4+a\right)}^{5/4}}{x^6} \,d x","Not used",1,"int((a + b*x^4)^(5/4)/x^6, x)","F"
1067,1,17,21,1.460157,"\text{Not used}","int((a + b*x^4)^(5/4)/x^10,x)","-\frac{{\left(b\,x^4+a\right)}^{9/4}}{9\,a\,x^9}","Not used",1,"-(a + b*x^4)^(9/4)/(9*a*x^9)","B"
1068,1,71,44,1.743466,"\text{Not used}","int((a + b*x^4)^(5/4)/x^14,x)","\frac{4\,b^3\,{\left(b\,x^4+a\right)}^{1/4}}{117\,a^2\,x}-\frac{14\,b\,{\left(b\,x^4+a\right)}^{1/4}}{117\,x^9}-\frac{a\,{\left(b\,x^4+a\right)}^{1/4}}{13\,x^{13}}-\frac{b^2\,{\left(b\,x^4+a\right)}^{1/4}}{117\,a\,x^5}","Not used",1,"(4*b^3*(a + b*x^4)^(1/4))/(117*a^2*x) - (14*b*(a + b*x^4)^(1/4))/(117*x^9) - (a*(a + b*x^4)^(1/4))/(13*x^13) - (b^2*(a + b*x^4)^(1/4))/(117*a*x^5)","B"
1069,1,91,68,2.065564,"\text{Not used}","int((a + b*x^4)^(5/4)/x^18,x)","\frac{8\,b^3\,{\left(b\,x^4+a\right)}^{1/4}}{1989\,a^2\,x^5}-\frac{18\,b\,{\left(b\,x^4+a\right)}^{1/4}}{221\,x^{13}}-\frac{32\,b^4\,{\left(b\,x^4+a\right)}^{1/4}}{1989\,a^3\,x}-\frac{a\,{\left(b\,x^4+a\right)}^{1/4}}{17\,x^{17}}-\frac{5\,b^2\,{\left(b\,x^4+a\right)}^{1/4}}{1989\,a\,x^9}","Not used",1,"(8*b^3*(a + b*x^4)^(1/4))/(1989*a^2*x^5) - (18*b*(a + b*x^4)^(1/4))/(221*x^13) - (32*b^4*(a + b*x^4)^(1/4))/(1989*a^3*x) - (a*(a + b*x^4)^(1/4))/(17*x^17) - (5*b^2*(a + b*x^4)^(1/4))/(1989*a*x^9)","B"
1070,1,111,92,2.517887,"\text{Not used}","int((a + b*x^4)^(5/4)/x^22,x)","\frac{128\,b^5\,{\left(b\,x^4+a\right)}^{1/4}}{13923\,a^4\,x}-\frac{22\,b\,{\left(b\,x^4+a\right)}^{1/4}}{357\,x^{17}}-\frac{a\,{\left(b\,x^4+a\right)}^{1/4}}{21\,x^{21}}-\frac{32\,b^4\,{\left(b\,x^4+a\right)}^{1/4}}{13923\,a^3\,x^5}+\frac{20\,b^3\,{\left(b\,x^4+a\right)}^{1/4}}{13923\,a^2\,x^9}-\frac{5\,b^2\,{\left(b\,x^4+a\right)}^{1/4}}{4641\,a\,x^{13}}","Not used",1,"(128*b^5*(a + b*x^4)^(1/4))/(13923*a^4*x) - (22*b*(a + b*x^4)^(1/4))/(357*x^17) - (a*(a + b*x^4)^(1/4))/(21*x^21) - (32*b^4*(a + b*x^4)^(1/4))/(13923*a^3*x^5) + (20*b^3*(a + b*x^4)^(1/4))/(13923*a^2*x^9) - (5*b^2*(a + b*x^4)^(1/4))/(4641*a*x^13)","B"
1071,0,-1,171,0.000000,"\text{Not used}","int(x^12*(a + b*x^4)^(5/4),x)","\int x^{12}\,{\left(b\,x^4+a\right)}^{5/4} \,d x","Not used",1,"int(x^12*(a + b*x^4)^(5/4), x)","F"
1072,0,-1,147,0.000000,"\text{Not used}","int(x^8*(a + b*x^4)^(5/4),x)","\int x^8\,{\left(b\,x^4+a\right)}^{5/4} \,d x","Not used",1,"int(x^8*(a + b*x^4)^(5/4), x)","F"
1073,0,-1,123,0.000000,"\text{Not used}","int(x^4*(a + b*x^4)^(5/4),x)","\int x^4\,{\left(b\,x^4+a\right)}^{5/4} \,d x","Not used",1,"int(x^4*(a + b*x^4)^(5/4), x)","F"
1074,1,37,97,1.068087,"\text{Not used}","int((a + b*x^4)^(5/4),x)","\frac{x\,{\left(b\,x^4+a\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{b\,x^4}{a}\right)}{{\left(\frac{b\,x^4}{a}+1\right)}^{5/4}}","Not used",1,"(x*(a + b*x^4)^(5/4)*hypergeom([-5/4, 1/4], 5/4, -(b*x^4)/a))/((b*x^4)/a + 1)^(5/4)","B"
1075,0,-1,99,0.000000,"\text{Not used}","int((a + b*x^4)^(5/4)/x^4,x)","\int \frac{{\left(b\,x^4+a\right)}^{5/4}}{x^4} \,d x","Not used",1,"int((a + b*x^4)^(5/4)/x^4, x)","F"
1076,0,-1,101,0.000000,"\text{Not used}","int((a + b*x^4)^(5/4)/x^8,x)","\int \frac{{\left(b\,x^4+a\right)}^{5/4}}{x^8} \,d x","Not used",1,"int((a + b*x^4)^(5/4)/x^8, x)","F"
1077,0,-1,125,0.000000,"\text{Not used}","int((a + b*x^4)^(5/4)/x^12,x)","\int \frac{{\left(b\,x^4+a\right)}^{5/4}}{x^{12}} \,d x","Not used",1,"int((a + b*x^4)^(5/4)/x^12, x)","F"
1078,0,-1,149,0.000000,"\text{Not used}","int((a + b*x^4)^(5/4)/x^16,x)","\int \frac{{\left(b\,x^4+a\right)}^{5/4}}{x^{16}} \,d x","Not used",1,"int((a + b*x^4)^(5/4)/x^16, x)","F"
1079,1,37,96,1.057819,"\text{Not used}","int((a + b*x^4)^(7/4),x)","\frac{x\,{\left(b\,x^4+a\right)}^{7/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{7}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{b\,x^4}{a}\right)}{{\left(\frac{b\,x^4}{a}+1\right)}^{7/4}}","Not used",1,"(x*(a + b*x^4)^(7/4)*hypergeom([-7/4, 1/4], 5/4, -(b*x^4)/a))/((b*x^4)/a + 1)^(7/4)","B"
1080,1,58,101,1.160549,"\text{Not used}","int(x^19/(a + b*x^4)^(1/4),x)","{\left(b\,x^4+a\right)}^{3/4}\,\left(\frac{2048\,a^4}{21945\,b^5}+\frac{x^{16}}{19\,b}-\frac{16\,a\,x^{12}}{285\,b^2}-\frac{512\,a^3\,x^4}{7315\,b^4}+\frac{64\,a^2\,x^8}{1045\,b^3}\right)","Not used",1,"(a + b*x^4)^(3/4)*((2048*a^4)/(21945*b^5) + x^16/(19*b) - (16*a*x^12)/(285*b^2) - (512*a^3*x^4)/(7315*b^4) + (64*a^2*x^8)/(1045*b^3))","B"
1081,1,48,80,1.127941,"\text{Not used}","int(x^15/(a + b*x^4)^(1/4),x)","-{\left(b\,x^4+a\right)}^{3/4}\,\left(\frac{128\,a^3}{1155\,b^4}-\frac{x^{12}}{15\,b}+\frac{4\,a\,x^8}{55\,b^2}-\frac{32\,a^2\,x^4}{385\,b^3}\right)","Not used",1,"-(a + b*x^4)^(3/4)*((128*a^3)/(1155*b^4) - x^12/(15*b) + (4*a*x^8)/(55*b^2) - (32*a^2*x^4)/(385*b^3))","B"
1082,1,36,59,1.134349,"\text{Not used}","int(x^11/(a + b*x^4)^(1/4),x)","{\left(b\,x^4+a\right)}^{3/4}\,\left(\frac{32\,a^2}{231\,b^3}+\frac{x^8}{11\,b}-\frac{8\,a\,x^4}{77\,b^2}\right)","Not used",1,"(a + b*x^4)^(3/4)*((32*a^2)/(231*b^3) + x^8/(11*b) - (8*a*x^4)/(77*b^2))","B"
1083,1,26,38,1.106641,"\text{Not used}","int(x^7/(a + b*x^4)^(1/4),x)","-{\left(b\,x^4+a\right)}^{3/4}\,\left(\frac{4\,a}{21\,b^2}-\frac{x^4}{7\,b}\right)","Not used",1,"-(a + b*x^4)^(3/4)*((4*a)/(21*b^2) - x^4/(7*b))","B"
1084,1,14,18,1.099060,"\text{Not used}","int(x^3/(a + b*x^4)^(1/4),x)","\frac{{\left(b\,x^4+a\right)}^{3/4}}{3\,b}","Not used",1,"(a + b*x^4)^(3/4)/(3*b)","B"
1085,1,36,55,1.159454,"\text{Not used}","int(1/(x*(a + b*x^4)^(1/4)),x)","\frac{\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)-\mathrm{atanh}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{2\,a^{1/4}}","Not used",1,"(atan((a + b*x^4)^(1/4)/a^(1/4)) - atanh((a + b*x^4)^(1/4)/a^(1/4)))/(2*a^(1/4))","B"
1086,1,58,78,1.280987,"\text{Not used}","int(1/(x^5*(a + b*x^4)^(1/4)),x)","\frac{b\,\mathrm{atanh}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{5/4}}-\frac{b\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{5/4}}-\frac{{\left(b\,x^4+a\right)}^{3/4}}{4\,a\,x^4}","Not used",1,"(b*atanh((a + b*x^4)^(1/4)/a^(1/4)))/(8*a^(5/4)) - (b*atan((a + b*x^4)^(1/4)/a^(1/4)))/(8*a^(5/4)) - (a + b*x^4)^(3/4)/(4*a*x^4)","B"
1087,1,82,104,1.360348,"\text{Not used}","int(1/(x^9*(a + b*x^4)^(1/4)),x)","\frac{5\,b^2\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{64\,a^{9/4}}-\frac{9\,{\left(b\,x^4+a\right)}^{3/4}}{32\,a\,x^8}+\frac{5\,{\left(b\,x^4+a\right)}^{7/4}}{32\,a^2\,x^8}+\frac{b^2\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}\,1{}\mathrm{i}}{a^{1/4}}\right)\,5{}\mathrm{i}}{64\,a^{9/4}}","Not used",1,"(5*b^2*atan((a + b*x^4)^(1/4)/a^(1/4)))/(64*a^(9/4)) + (b^2*atan(((a + b*x^4)^(1/4)*1i)/a^(1/4))*5i)/(64*a^(9/4)) - (9*(a + b*x^4)^(3/4))/(32*a*x^8) + (5*(a + b*x^4)^(7/4))/(32*a^2*x^8)","B"
1088,0,-1,152,0.000000,"\text{Not used}","int(x^13/(a + b*x^4)^(1/4),x)","\int \frac{x^{13}}{{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(x^13/(a + b*x^4)^(1/4), x)","F"
1089,0,-1,128,0.000000,"\text{Not used}","int(x^9/(a + b*x^4)^(1/4),x)","\int \frac{x^9}{{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(x^9/(a + b*x^4)^(1/4), x)","F"
1090,0,-1,104,0.000000,"\text{Not used}","int(x^5/(a + b*x^4)^(1/4),x)","\int \frac{x^5}{{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(x^5/(a + b*x^4)^(1/4), x)","F"
1091,0,-1,74,0.000000,"\text{Not used}","int(x/(a + b*x^4)^(1/4),x)","\int \frac{x}{{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(x/(a + b*x^4)^(1/4), x)","F"
1092,0,-1,104,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^4)^(1/4)),x)","\int \frac{1}{x^3\,{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^4)^(1/4)), x)","F"
1093,0,-1,128,0.000000,"\text{Not used}","int(1/(x^7*(a + b*x^4)^(1/4)),x)","\int \frac{1}{x^7\,{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^7*(a + b*x^4)^(1/4)), x)","F"
1094,0,-1,152,0.000000,"\text{Not used}","int(1/(x^11*(a + b*x^4)^(1/4)),x)","\int \frac{1}{x^{11}\,{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^11*(a + b*x^4)^(1/4)), x)","F"
1095,0,-1,104,0.000000,"\text{Not used}","int(x^8/(a + b*x^4)^(1/4),x)","\int \frac{x^8}{{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(x^8/(a + b*x^4)^(1/4), x)","F"
1096,0,-1,78,0.000000,"\text{Not used}","int(x^4/(a + b*x^4)^(1/4),x)","\int \frac{x^4}{{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(x^4/(a + b*x^4)^(1/4), x)","F"
1097,1,37,57,1.070049,"\text{Not used}","int(1/(a + b*x^4)^(1/4),x)","\frac{x\,{\left(\frac{b\,x^4}{a}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ -\frac{b\,x^4}{a}\right)}{{\left(b\,x^4+a\right)}^{1/4}}","Not used",1,"(x*((b*x^4)/a + 1)^(1/4)*hypergeom([1/4, 1/4], 5/4, -(b*x^4)/a))/(a + b*x^4)^(1/4)","B"
1098,1,17,21,1.088874,"\text{Not used}","int(1/(x^4*(a + b*x^4)^(1/4)),x)","-\frac{{\left(b\,x^4+a\right)}^{3/4}}{3\,a\,x^3}","Not used",1,"-(a + b*x^4)^(3/4)/(3*a*x^3)","B"
1099,1,36,44,1.156591,"\text{Not used}","int(1/(x^8*(a + b*x^4)^(1/4)),x)","-\frac{3\,a\,{\left(b\,x^4+a\right)}^{3/4}-4\,b\,x^4\,{\left(b\,x^4+a\right)}^{3/4}}{21\,a^2\,x^7}","Not used",1,"-(3*a*(a + b*x^4)^(3/4) - 4*b*x^4*(a + b*x^4)^(3/4))/(21*a^2*x^7)","B"
1100,1,56,68,1.237487,"\text{Not used}","int(1/(x^12*(a + b*x^4)^(1/4)),x)","-\frac{21\,a^2\,{\left(b\,x^4+a\right)}^{3/4}+32\,b^2\,x^8\,{\left(b\,x^4+a\right)}^{3/4}-24\,a\,b\,x^4\,{\left(b\,x^4+a\right)}^{3/4}}{231\,a^3\,x^{11}}","Not used",1,"-(21*a^2*(a + b*x^4)^(3/4) + 32*b^2*x^8*(a + b*x^4)^(3/4) - 24*a*b*x^4*(a + b*x^4)^(3/4))/(231*a^3*x^11)","B"
1101,1,76,92,1.352320,"\text{Not used}","int(1/(x^16*(a + b*x^4)^(1/4)),x)","\frac{4\,b\,{\left(b\,x^4+a\right)}^{3/4}}{55\,a^2\,x^{11}}-\frac{{\left(b\,x^4+a\right)}^{3/4}}{15\,a\,x^{15}}+\frac{128\,b^3\,{\left(b\,x^4+a\right)}^{3/4}}{1155\,a^4\,x^3}-\frac{32\,b^2\,{\left(b\,x^4+a\right)}^{3/4}}{385\,a^3\,x^7}","Not used",1,"(4*b*(a + b*x^4)^(3/4))/(55*a^2*x^11) - (a + b*x^4)^(3/4)/(15*a*x^15) + (128*b^3*(a + b*x^4)^(3/4))/(1155*a^4*x^3) - (32*b^2*(a + b*x^4)^(3/4))/(385*a^3*x^7)","B"
1102,1,96,116,1.485677,"\text{Not used}","int(1/(x^20*(a + b*x^4)^(1/4)),x)","\frac{16\,b\,{\left(b\,x^4+a\right)}^{3/4}}{285\,a^2\,x^{15}}-\frac{{\left(b\,x^4+a\right)}^{3/4}}{19\,a\,x^{19}}-\frac{2048\,b^4\,{\left(b\,x^4+a\right)}^{3/4}}{21945\,a^5\,x^3}+\frac{512\,b^3\,{\left(b\,x^4+a\right)}^{3/4}}{7315\,a^4\,x^7}-\frac{64\,b^2\,{\left(b\,x^4+a\right)}^{3/4}}{1045\,a^3\,x^{11}}","Not used",1,"(16*b*(a + b*x^4)^(3/4))/(285*a^2*x^15) - (a + b*x^4)^(3/4)/(19*a*x^19) - (2048*b^4*(a + b*x^4)^(3/4))/(21945*a^5*x^3) + (512*b^3*(a + b*x^4)^(3/4))/(7315*a^4*x^7) - (64*b^2*(a + b*x^4)^(3/4))/(1045*a^3*x^11)","B"
1103,0,-1,129,0.000000,"\text{Not used}","int(x^10/(a + b*x^4)^(1/4),x)","\int \frac{x^{10}}{{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(x^10/(a + b*x^4)^(1/4), x)","F"
1104,0,-1,105,0.000000,"\text{Not used}","int(x^6/(a + b*x^4)^(1/4),x)","\int \frac{x^6}{{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(x^6/(a + b*x^4)^(1/4), x)","F"
1105,0,-1,80,0.000000,"\text{Not used}","int(x^2/(a + b*x^4)^(1/4),x)","\int \frac{x^2}{{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(x^2/(a + b*x^4)^(1/4), x)","F"
1106,1,40,75,1.458776,"\text{Not used}","int(1/(x^2*(a + b*x^4)^(1/4)),x)","-\frac{{\left(\frac{a}{b\,x^4}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{3}{2};\ -\frac{a}{b\,x^4}\right)}{2\,x\,{\left(b\,x^4+a\right)}^{1/4}}","Not used",1,"-((a/(b*x^4) + 1)^(1/4)*hypergeom([1/4, 1/2], 3/2, -a/(b*x^4)))/(2*x*(a + b*x^4)^(1/4))","B"
1107,0,-1,105,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^4)^(1/4)),x)","\int \frac{1}{x^6\,{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^4)^(1/4)), x)","F"
1108,0,-1,129,0.000000,"\text{Not used}","int(1/(x^10*(a + b*x^4)^(1/4)),x)","\int \frac{1}{x^{10}\,{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^10*(a + b*x^4)^(1/4)), x)","F"
1109,0,-1,153,0.000000,"\text{Not used}","int(1/(x^14*(a + b*x^4)^(1/4)),x)","\int \frac{1}{x^{14}\,{\left(b\,x^4+a\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^14*(a + b*x^4)^(1/4)), x)","F"
1110,1,58,98,1.169940,"\text{Not used}","int(x^19/(a + b*x^4)^(3/4),x)","{\left(b\,x^4+a\right)}^{1/4}\,\left(\frac{2048\,a^4}{3315\,b^5}+\frac{x^{16}}{17\,b}-\frac{16\,a\,x^{12}}{221\,b^2}-\frac{512\,a^3\,x^4}{3315\,b^4}+\frac{64\,a^2\,x^8}{663\,b^3}\right)","Not used",1,"(a + b*x^4)^(1/4)*((2048*a^4)/(3315*b^5) + x^16/(17*b) - (16*a*x^12)/(221*b^2) - (512*a^3*x^4)/(3315*b^4) + (64*a^2*x^8)/(663*b^3))","B"
1111,1,48,78,1.175712,"\text{Not used}","int(x^15/(a + b*x^4)^(3/4),x)","-{\left(b\,x^4+a\right)}^{1/4}\,\left(\frac{128\,a^3}{195\,b^4}-\frac{x^{12}}{13\,b}+\frac{4\,a\,x^8}{39\,b^2}-\frac{32\,a^2\,x^4}{195\,b^3}\right)","Not used",1,"-(a + b*x^4)^(1/4)*((128*a^3)/(195*b^4) - x^12/(13*b) + (4*a*x^8)/(39*b^2) - (32*a^2*x^4)/(195*b^3))","B"
1112,1,36,56,1.138346,"\text{Not used}","int(x^11/(a + b*x^4)^(3/4),x)","{\left(b\,x^4+a\right)}^{1/4}\,\left(\frac{32\,a^2}{45\,b^3}+\frac{x^8}{9\,b}-\frac{8\,a\,x^4}{45\,b^2}\right)","Not used",1,"(a + b*x^4)^(1/4)*((32*a^2)/(45*b^3) + x^8/(9*b) - (8*a*x^4)/(45*b^2))","B"
1113,1,24,36,1.132879,"\text{Not used}","int(x^7/(a + b*x^4)^(3/4),x)","-\frac{{\left(b\,x^4+a\right)}^{1/4}\,\left(4\,a-b\,x^4\right)}{5\,b^2}","Not used",1,"-((a + b*x^4)^(1/4)*(4*a - b*x^4))/(5*b^2)","B"
1114,1,13,15,1.117763,"\text{Not used}","int(x^3/(a + b*x^4)^(3/4),x)","\frac{{\left(b\,x^4+a\right)}^{1/4}}{b}","Not used",1,"(a + b*x^4)^(1/4)/b","B"
1115,1,34,55,1.157065,"\text{Not used}","int(1/(x*(a + b*x^4)^(3/4)),x)","-\frac{\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)+\mathrm{atanh}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{2\,a^{3/4}}","Not used",1,"-(atan((a + b*x^4)^(1/4)/a^(1/4)) + atanh((a + b*x^4)^(1/4)/a^(1/4)))/(2*a^(3/4))","B"
1116,1,58,78,1.291084,"\text{Not used}","int(1/(x^5*(a + b*x^4)^(3/4)),x)","\frac{3\,b\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{7/4}}-\frac{{\left(b\,x^4+a\right)}^{1/4}}{4\,a\,x^4}+\frac{3\,b\,\mathrm{atanh}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{7/4}}","Not used",1,"(3*b*atan((a + b*x^4)^(1/4)/a^(1/4)))/(8*a^(7/4)) - (a + b*x^4)^(1/4)/(4*a*x^4) + (3*b*atanh((a + b*x^4)^(1/4)/a^(1/4)))/(8*a^(7/4))","B"
1117,1,82,104,1.363313,"\text{Not used}","int(1/(x^9*(a + b*x^4)^(3/4)),x)","\frac{7\,{\left(b\,x^4+a\right)}^{5/4}}{32\,a^2\,x^8}-\frac{11\,{\left(b\,x^4+a\right)}^{1/4}}{32\,a\,x^8}-\frac{21\,b^2\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{64\,a^{11/4}}+\frac{b^2\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}\,1{}\mathrm{i}}{a^{1/4}}\right)\,21{}\mathrm{i}}{64\,a^{11/4}}","Not used",1,"(b^2*atan(((a + b*x^4)^(1/4)*1i)/a^(1/4))*21i)/(64*a^(11/4)) - (21*b^2*atan((a + b*x^4)^(1/4)/a^(1/4)))/(64*a^(11/4)) - (11*(a + b*x^4)^(1/4))/(32*a*x^8) + (7*(a + b*x^4)^(5/4))/(32*a^2*x^8)","B"
1118,0,-1,128,0.000000,"\text{Not used}","int(x^13/(a + b*x^4)^(3/4),x)","\int \frac{x^{13}}{{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(x^13/(a + b*x^4)^(3/4), x)","F"
1119,0,-1,104,0.000000,"\text{Not used}","int(x^9/(a + b*x^4)^(3/4),x)","\int \frac{x^9}{{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(x^9/(a + b*x^4)^(3/4), x)","F"
1120,0,-1,82,0.000000,"\text{Not used}","int(x^5/(a + b*x^4)^(3/4),x)","\int \frac{x^5}{{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(x^5/(a + b*x^4)^(3/4), x)","F"
1121,0,-1,57,0.000000,"\text{Not used}","int(x/(a + b*x^4)^(3/4),x)","\int \frac{x}{{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(x/(a + b*x^4)^(3/4), x)","F"
1122,0,-1,82,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^4)^(3/4)),x)","\int \frac{1}{x^3\,{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^4)^(3/4)), x)","F"
1123,0,-1,104,0.000000,"\text{Not used}","int(1/(x^7*(a + b*x^4)^(3/4)),x)","\int \frac{1}{x^7\,{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^7*(a + b*x^4)^(3/4)), x)","F"
1124,0,-1,128,0.000000,"\text{Not used}","int(1/(x^11*(a + b*x^4)^(3/4)),x)","\int \frac{1}{x^{11}\,{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^11*(a + b*x^4)^(3/4)), x)","F"
1125,0,-1,106,0.000000,"\text{Not used}","int(x^10/(a + b*x^4)^(3/4),x)","\int \frac{x^{10}}{{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(x^10/(a + b*x^4)^(3/4), x)","F"
1126,0,-1,80,0.000000,"\text{Not used}","int(x^6/(a + b*x^4)^(3/4),x)","\int \frac{x^6}{{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(x^6/(a + b*x^4)^(3/4), x)","F"
1127,0,-1,57,0.000000,"\text{Not used}","int(x^2/(a + b*x^4)^(3/4),x)","\int \frac{x^2}{{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(x^2/(a + b*x^4)^(3/4), x)","F"
1128,1,17,19,1.099739,"\text{Not used}","int(1/(x^2*(a + b*x^4)^(3/4)),x)","-\frac{{\left(b\,x^4+a\right)}^{1/4}}{a\,x}","Not used",1,"-(a + b*x^4)^(1/4)/(a*x)","B"
1129,1,25,44,1.165981,"\text{Not used}","int(1/(x^6*(a + b*x^4)^(3/4)),x)","-\frac{{\left(b\,x^4+a\right)}^{1/4}\,\left(a-4\,b\,x^4\right)}{5\,a^2\,x^5}","Not used",1,"-((a + b*x^4)^(1/4)*(a - 4*b*x^4))/(5*a^2*x^5)","B"
1130,1,38,68,1.265068,"\text{Not used}","int(1/(x^10*(a + b*x^4)^(3/4)),x)","-\frac{{\left(b\,x^4+a\right)}^{1/4}\,\left(5\,a^2-8\,a\,b\,x^4+32\,b^2\,x^8\right)}{45\,a^3\,x^9}","Not used",1,"-((a + b*x^4)^(1/4)*(5*a^2 + 32*b^2*x^8 - 8*a*b*x^4))/(45*a^3*x^9)","B"
1131,1,76,92,1.356675,"\text{Not used}","int(1/(x^14*(a + b*x^4)^(3/4)),x)","\frac{4\,b\,{\left(b\,x^4+a\right)}^{1/4}}{39\,a^2\,x^9}-\frac{{\left(b\,x^4+a\right)}^{1/4}}{13\,a\,x^{13}}+\frac{128\,b^3\,{\left(b\,x^4+a\right)}^{1/4}}{195\,a^4\,x}-\frac{32\,b^2\,{\left(b\,x^4+a\right)}^{1/4}}{195\,a^3\,x^5}","Not used",1,"(4*b*(a + b*x^4)^(1/4))/(39*a^2*x^9) - (a + b*x^4)^(1/4)/(13*a*x^13) + (128*b^3*(a + b*x^4)^(1/4))/(195*a^4*x) - (32*b^2*(a + b*x^4)^(1/4))/(195*a^3*x^5)","B"
1132,0,-1,129,0.000000,"\text{Not used}","int(x^12/(a + b*x^4)^(3/4),x)","\int \frac{x^{12}}{{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(x^12/(a + b*x^4)^(3/4), x)","F"
1133,0,-1,105,0.000000,"\text{Not used}","int(x^8/(a + b*x^4)^(3/4),x)","\int \frac{x^8}{{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(x^8/(a + b*x^4)^(3/4), x)","F"
1134,0,-1,83,0.000000,"\text{Not used}","int(x^4/(a + b*x^4)^(3/4),x)","\int \frac{x^4}{{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(x^4/(a + b*x^4)^(3/4), x)","F"
1135,1,37,61,1.078033,"\text{Not used}","int(1/(a + b*x^4)^(3/4),x)","\frac{x\,{\left(\frac{b\,x^4}{a}+1\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{4};\ \frac{5}{4};\ -\frac{b\,x^4}{a}\right)}{{\left(b\,x^4+a\right)}^{3/4}}","Not used",1,"(x*((b*x^4)/a + 1)^(3/4)*hypergeom([1/4, 3/4], 5/4, -(b*x^4)/a))/(a + b*x^4)^(3/4)","B"
1136,0,-1,85,0.000000,"\text{Not used}","int(1/(x^4*(a + b*x^4)^(3/4)),x)","\int \frac{1}{x^4\,{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^4*(a + b*x^4)^(3/4)), x)","F"
1137,0,-1,107,0.000000,"\text{Not used}","int(1/(x^8*(a + b*x^4)^(3/4)),x)","\int \frac{1}{x^8\,{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^8*(a + b*x^4)^(3/4)), x)","F"
1138,0,-1,131,0.000000,"\text{Not used}","int(1/(x^12*(a + b*x^4)^(3/4)),x)","\int \frac{1}{x^{12}\,{\left(b\,x^4+a\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^12*(a + b*x^4)^(3/4)), x)","F"
1139,1,69,99,1.290140,"\text{Not used}","int(x^19/(a + b*x^4)^(5/4),x)","-\frac{420\,a\,{\left(b\,x^4+a\right)}^3+1540\,a^3\,\left(b\,x^4+a\right)-77\,{\left(b\,x^4+a\right)}^4+1155\,a^4-990\,a^2\,{\left(b\,x^4+a\right)}^2}{1155\,b^5\,{\left(b\,x^4+a\right)}^{1/4}}","Not used",1,"-(420*a*(a + b*x^4)^3 + 1540*a^3*(a + b*x^4) - 77*(a + b*x^4)^4 + 1155*a^4 - 990*a^2*(a + b*x^4)^2)/(1155*b^5*(a + b*x^4)^(1/4))","B"
1140,1,55,74,1.234977,"\text{Not used}","int(x^15/(a + b*x^4)^(5/4),x)","\frac{77\,a^2\,\left(b\,x^4+a\right)-33\,a\,{\left(b\,x^4+a\right)}^2+7\,{\left(b\,x^4+a\right)}^3+77\,a^3}{77\,b^4\,{\left(b\,x^4+a\right)}^{1/4}}","Not used",1,"(77*a^2*(a + b*x^4) - 33*a*(a + b*x^4)^2 + 7*(a + b*x^4)^3 + 77*a^3)/(77*b^4*(a + b*x^4)^(1/4))","B"
1141,1,39,57,1.211064,"\text{Not used}","int(x^11/(a + b*x^4)^(5/4),x)","-\frac{\frac{2\,a\,\left(b\,x^4+a\right)}{3}-\frac{{\left(b\,x^4+a\right)}^2}{7}+a^2}{b^3\,{\left(b\,x^4+a\right)}^{1/4}}","Not used",1,"-((2*a*(a + b*x^4))/3 - (a + b*x^4)^2/7 + a^2)/(b^3*(a + b*x^4)^(1/4))","B"
1142,1,23,35,1.154152,"\text{Not used}","int(x^7/(a + b*x^4)^(5/4),x)","\frac{b\,x^4+4\,a}{3\,b^2\,{\left(b\,x^4+a\right)}^{1/4}}","Not used",1,"(4*a + b*x^4)/(3*b^2*(a + b*x^4)^(1/4))","B"
1143,1,14,16,1.100429,"\text{Not used}","int(x^3/(a + b*x^4)^(5/4),x)","-\frac{1}{b\,{\left(b\,x^4+a\right)}^{1/4}}","Not used",1,"-1/(b*(a + b*x^4)^(1/4))","B"
1144,1,52,70,1.226026,"\text{Not used}","int(1/(x*(a + b*x^4)^(5/4)),x)","\frac{\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{2\,a^{5/4}}-\frac{\mathrm{atanh}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{2\,a^{5/4}}+\frac{1}{a\,{\left(b\,x^4+a\right)}^{1/4}}","Not used",1,"atan((a + b*x^4)^(1/4)/a^(1/4))/(2*a^(5/4)) - atanh((a + b*x^4)^(1/4)/a^(1/4))/(2*a^(5/4)) + 1/(a*(a + b*x^4)^(1/4))","B"
1145,1,87,97,1.391184,"\text{Not used}","int(1/(x^5*(a + b*x^4)^(5/4)),x)","\frac{5\,b\,\mathrm{atanh}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{9/4}}-\frac{5\,b\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{9/4}}-\frac{\frac{b}{a}-\frac{5\,b\,\left(b\,x^4+a\right)}{4\,a^2}}{a\,{\left(b\,x^4+a\right)}^{1/4}-{\left(b\,x^4+a\right)}^{5/4}}","Not used",1,"(5*b*atanh((a + b*x^4)^(1/4)/a^(1/4)))/(8*a^(9/4)) - (5*b*atan((a + b*x^4)^(1/4)/a^(1/4)))/(8*a^(9/4)) - (b/a - (5*b*(a + b*x^4))/(4*a^2))/(a*(a + b*x^4)^(1/4) - (a + b*x^4)^(5/4))","B"
1146,1,123,125,1.512002,"\text{Not used}","int(1/(x^9*(a + b*x^4)^(5/4)),x)","\frac{\frac{b^2}{a}-\frac{81\,b^2\,\left(b\,x^4+a\right)}{32\,a^2}+\frac{45\,b^2\,{\left(b\,x^4+a\right)}^2}{32\,a^3}}{{\left(b\,x^4+a\right)}^{9/4}-2\,a\,{\left(b\,x^4+a\right)}^{5/4}+a^2\,{\left(b\,x^4+a\right)}^{1/4}}+\frac{45\,b^2\,\mathrm{atan}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{64\,a^{13/4}}-\frac{45\,b^2\,\mathrm{atanh}\left(\frac{{\left(b\,x^4+a\right)}^{1/4}}{a^{1/4}}\right)}{64\,a^{13/4}}","Not used",1,"(b^2/a - (81*b^2*(a + b*x^4))/(32*a^2) + (45*b^2*(a + b*x^4)^2)/(32*a^3))/((a + b*x^4)^(9/4) - 2*a*(a + b*x^4)^(5/4) + a^2*(a + b*x^4)^(1/4)) + (45*b^2*atan((a + b*x^4)^(1/4)/a^(1/4)))/(64*a^(13/4)) - (45*b^2*atanh((a + b*x^4)^(1/4)/a^(1/4)))/(64*a^(13/4))","B"
1147,0,-1,128,0.000000,"\text{Not used}","int(x^13/(a + b*x^4)^(5/4),x)","\int \frac{x^{13}}{{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(x^13/(a + b*x^4)^(5/4), x)","F"
1148,0,-1,104,0.000000,"\text{Not used}","int(x^9/(a + b*x^4)^(5/4),x)","\int \frac{x^9}{{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(x^9/(a + b*x^4)^(5/4), x)","F"
1149,0,-1,77,0.000000,"\text{Not used}","int(x^5/(a + b*x^4)^(5/4),x)","\int \frac{x^5}{{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(x^5/(a + b*x^4)^(5/4), x)","F"
1150,0,-1,57,0.000000,"\text{Not used}","int(x/(a + b*x^4)^(5/4),x)","\int \frac{x}{{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(x/(a + b*x^4)^(5/4), x)","F"
1151,0,-1,82,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^4)^(5/4)),x)","\int \frac{1}{x^3\,{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^4)^(5/4)), x)","F"
1152,0,-1,104,0.000000,"\text{Not used}","int(1/(x^7*(a + b*x^4)^(5/4)),x)","\int \frac{1}{x^7\,{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(1/(x^7*(a + b*x^4)^(5/4)), x)","F"
1153,0,-1,128,0.000000,"\text{Not used}","int(1/(x^11*(a + b*x^4)^(5/4)),x)","\int \frac{1}{x^{11}\,{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(1/(x^11*(a + b*x^4)^(5/4)), x)","F"
1154,0,-1,123,0.000000,"\text{Not used}","int(x^12/(a + b*x^4)^(5/4),x)","\int \frac{x^{12}}{{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(x^12/(a + b*x^4)^(5/4), x)","F"
1155,0,-1,97,0.000000,"\text{Not used}","int(x^8/(a + b*x^4)^(5/4),x)","\int \frac{x^8}{{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(x^8/(a + b*x^4)^(5/4), x)","F"
1156,0,-1,74,0.000000,"\text{Not used}","int(x^4/(a + b*x^4)^(5/4),x)","\int \frac{x^4}{{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(x^4/(a + b*x^4)^(5/4), x)","F"
1157,1,14,16,1.019177,"\text{Not used}","int(1/(a + b*x^4)^(5/4),x)","\frac{x}{a\,{\left(b\,x^4+a\right)}^{1/4}}","Not used",1,"x/(a*(a + b*x^4)^(1/4))","B"
1158,1,25,42,1.159898,"\text{Not used}","int(1/(x^4*(a + b*x^4)^(5/4)),x)","-\frac{4\,b\,x^4+a}{3\,a^2\,x^3\,{\left(b\,x^4+a\right)}^{1/4}}","Not used",1,"-(a + 4*b*x^4)/(3*a^2*x^3*(a + b*x^4)^(1/4))","B"
1159,1,70,66,1.308500,"\text{Not used}","int(1/(x^8*(a + b*x^4)^(5/4)),x)","-\frac{32\,{\left(b\,x^4+a\right)}^2-56\,a\,\left(b\,x^4+a\right)+21\,a^2}{\left(\frac{21\,a^4\,x^3}{b}-\frac{21\,a^3\,x^3\,\left(b\,x^4+a\right)}{b}\right)\,{\left(b\,x^4+a\right)}^{1/4}}","Not used",1,"-(32*(a + b*x^4)^2 - 56*a*(a + b*x^4) + 21*a^2)/(((21*a^4*x^3)/b - (21*a^3*x^3*(a + b*x^4))/b)*(a + b*x^4)^(1/4))","B"
1160,1,74,90,1.458187,"\text{Not used}","int(1/(x^12*(a + b*x^4)^(5/4)),x)","\frac{19\,b\,{\left(b\,x^4+a\right)}^{3/4}}{77\,a^3\,x^7}-\frac{b^3\,x}{a^4\,{\left(b\,x^4+a\right)}^{1/4}}-\frac{{\left(b\,x^4+a\right)}^{3/4}}{11\,a^2\,x^{11}}-\frac{51\,b^2\,{\left(b\,x^4+a\right)}^{3/4}}{77\,a^4\,x^3}","Not used",1,"(19*b*(a + b*x^4)^(3/4))/(77*a^3*x^7) - (b^3*x)/(a^4*(a + b*x^4)^(1/4)) - (a + b*x^4)^(3/4)/(11*a^2*x^11) - (51*b^2*(a + b*x^4)^(3/4))/(77*a^4*x^3)","B"
1161,1,93,114,1.653715,"\text{Not used}","int(1/(x^16*(a + b*x^4)^(5/4)),x)","\frac{b^4\,x}{a^5\,{\left(b\,x^4+a\right)}^{1/4}}-\frac{{\left(b\,x^4+a\right)}^{3/4}}{15\,a^2\,x^{15}}+\frac{9\,b\,{\left(b\,x^4+a\right)}^{3/4}}{55\,a^3\,x^{11}}+\frac{893\,b^3\,{\left(b\,x^4+a\right)}^{3/4}}{1155\,a^5\,x^3}-\frac{127\,b^2\,{\left(b\,x^4+a\right)}^{3/4}}{385\,a^4\,x^7}","Not used",1,"(b^4*x)/(a^5*(a + b*x^4)^(1/4)) - (a + b*x^4)^(3/4)/(15*a^2*x^15) + (9*b*(a + b*x^4)^(3/4))/(55*a^3*x^11) + (893*b^3*(a + b*x^4)^(3/4))/(1155*a^5*x^3) - (127*b^2*(a + b*x^4)^(3/4))/(385*a^4*x^7)","B"
1162,0,-1,129,0.000000,"\text{Not used}","int(x^14/(a + b*x^4)^(5/4),x)","\int \frac{x^{14}}{{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(x^14/(a + b*x^4)^(5/4), x)","F"
1163,0,-1,105,0.000000,"\text{Not used}","int(x^10/(a + b*x^4)^(5/4),x)","\int \frac{x^{10}}{{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(x^10/(a + b*x^4)^(5/4), x)","F"
1164,0,-1,83,0.000000,"\text{Not used}","int(x^6/(a + b*x^4)^(5/4),x)","\int \frac{x^6}{{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(x^6/(a + b*x^4)^(5/4), x)","F"
1165,0,-1,59,0.000000,"\text{Not used}","int(x^2/(a + b*x^4)^(5/4),x)","\int \frac{x^2}{{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(x^2/(a + b*x^4)^(5/4), x)","F"
1166,1,40,79,1.351411,"\text{Not used}","int(1/(x^2*(a + b*x^4)^(5/4)),x)","-\frac{{\left(\frac{a}{b\,x^4}+1\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{5}{4},\frac{3}{2};\ \frac{5}{2};\ -\frac{a}{b\,x^4}\right)}{6\,x\,{\left(b\,x^4+a\right)}^{5/4}}","Not used",1,"-((a/(b*x^4) + 1)^(5/4)*hypergeom([5/4, 3/2], 5/2, -a/(b*x^4)))/(6*x*(a + b*x^4)^(5/4))","B"
1167,0,-1,105,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^4)^(5/4)),x)","\int \frac{1}{x^6\,{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^4)^(5/4)), x)","F"
1168,0,-1,129,0.000000,"\text{Not used}","int(1/(x^10*(a + b*x^4)^(5/4)),x)","\int \frac{1}{x^{10}\,{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(1/(x^10*(a + b*x^4)^(5/4)), x)","F"
1169,0,-1,153,0.000000,"\text{Not used}","int(1/(x^14*(a + b*x^4)^(5/4)),x)","\int \frac{1}{x^{14}\,{\left(b\,x^4+a\right)}^{5/4}} \,d x","Not used",1,"int(1/(x^14*(a + b*x^4)^(5/4)), x)","F"
1170,1,37,83,1.135198,"\text{Not used}","int(1/(a + b*x^4)^(7/4),x)","\frac{x\,{\left(\frac{b\,x^4}{a}+1\right)}^{7/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{7}{4};\ \frac{5}{4};\ -\frac{b\,x^4}{a}\right)}{{\left(b\,x^4+a\right)}^{7/4}}","Not used",1,"(x*((b*x^4)/a + 1)^(7/4)*hypergeom([1/4, 7/4], 5/4, -(b*x^4)/a))/(a + b*x^4)^(7/4)","B"
1171,1,28,39,1.062482,"\text{Not used}","int(1/(a + b*x^4)^(9/4),x)","\frac{4\,x\,\left(b\,x^4+a\right)+a\,x}{5\,a^2\,{\left(b\,x^4+a\right)}^{5/4}}","Not used",1,"(4*x*(a + b*x^4) + a*x)/(5*a^2*(a + b*x^4)^(5/4))","B"
1172,1,37,102,1.126756,"\text{Not used}","int(1/(a + b*x^4)^(11/4),x)","\frac{x\,{\left(\frac{b\,x^4}{a}+1\right)}^{11/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{11}{4};\ \frac{5}{4};\ -\frac{b\,x^4}{a}\right)}{{\left(b\,x^4+a\right)}^{11/4}}","Not used",1,"(x*((b*x^4)/a + 1)^(11/4)*hypergeom([1/4, 11/4], 5/4, -(b*x^4)/a))/(a + b*x^4)^(11/4)","B"
1173,1,44,58,1.069318,"\text{Not used}","int(1/(a + b*x^4)^(13/4),x)","\frac{32\,x\,{\left(b\,x^4+a\right)}^2+5\,a^2\,x+8\,a\,x\,\left(b\,x^4+a\right)}{45\,a^3\,{\left(b\,x^4+a\right)}^{9/4}}","Not used",1,"(32*x*(a + b*x^4)^2 + 5*a^2*x + 8*a*x*(a + b*x^4))/(45*a^3*(a + b*x^4)^(9/4))","B"
1174,1,61,77,1.078301,"\text{Not used}","int(1/(a + b*x^4)^(17/4),x)","\frac{128\,x}{195\,a^4\,{\left(b\,x^4+a\right)}^{1/4}}+\frac{32\,x}{195\,a^3\,{\left(b\,x^4+a\right)}^{5/4}}+\frac{4\,x}{39\,a^2\,{\left(b\,x^4+a\right)}^{9/4}}+\frac{x}{13\,a\,{\left(b\,x^4+a\right)}^{13/4}}","Not used",1,"(128*x)/(195*a^4*(a + b*x^4)^(1/4)) + (32*x)/(195*a^3*(a + b*x^4)^(5/4)) + (4*x)/(39*a^2*(a + b*x^4)^(9/4)) + x/(13*a*(a + b*x^4)^(13/4))","B"
1175,1,68,106,1.147928,"\text{Not used}","int(x^19*(a - b*x^4)^(1/4),x)","-{\left(a-b\,x^4\right)}^{1/4}\,\left(\frac{2048\,a^5}{69615\,b^5}-\frac{x^{20}}{21}+\frac{a\,x^{16}}{357\,b}+\frac{512\,a^4\,x^4}{69615\,b^4}+\frac{64\,a^3\,x^8}{13923\,b^3}+\frac{16\,a^2\,x^{12}}{4641\,b^2}\right)","Not used",1,"-(a - b*x^4)^(1/4)*((2048*a^5)/(69615*b^5) - x^20/21 + (a*x^16)/(357*b) + (512*a^4*x^4)/(69615*b^4) + (64*a^3*x^8)/(13923*b^3) + (16*a^2*x^12)/(4641*b^2))","B"
1176,1,57,84,1.120334,"\text{Not used}","int(x^15*(a - b*x^4)^(1/4),x)","-{\left(a-b\,x^4\right)}^{1/4}\,\left(\frac{128\,a^4}{3315\,b^4}-\frac{x^{16}}{17}+\frac{a\,x^{12}}{221\,b}+\frac{32\,a^3\,x^4}{3315\,b^3}+\frac{4\,a^2\,x^8}{663\,b^2}\right)","Not used",1,"-(a - b*x^4)^(1/4)*((128*a^4)/(3315*b^4) - x^16/17 + (a*x^12)/(221*b) + (32*a^3*x^4)/(3315*b^3) + (4*a^2*x^8)/(663*b^2))","B"
1177,1,46,62,1.127969,"\text{Not used}","int(x^11*(a - b*x^4)^(1/4),x)","-{\left(a-b\,x^4\right)}^{1/4}\,\left(\frac{32\,a^3}{585\,b^3}-\frac{x^{12}}{13}+\frac{a\,x^8}{117\,b}+\frac{8\,a^2\,x^4}{585\,b^2}\right)","Not used",1,"-(a - b*x^4)^(1/4)*((32*a^3)/(585*b^3) - x^12/13 + (a*x^8)/(117*b) + (8*a^2*x^4)/(585*b^2))","B"
1178,1,35,40,1.124036,"\text{Not used}","int(x^7*(a - b*x^4)^(1/4),x)","-{\left(a-b\,x^4\right)}^{1/4}\,\left(\frac{4\,a^2}{45\,b^2}-\frac{x^8}{9}+\frac{a\,x^4}{45\,b}\right)","Not used",1,"-(a - b*x^4)^(1/4)*((4*a^2)/(45*b^2) - x^8/9 + (a*x^4)/(45*b))","B"
1179,1,15,19,1.113610,"\text{Not used}","int(x^3*(a - b*x^4)^(1/4),x)","-\frac{{\left(a-b\,x^4\right)}^{5/4}}{5\,b}","Not used",1,"-(a - b*x^4)^(5/4)/(5*b)","B"
1180,1,51,69,1.212545,"\text{Not used}","int((a - b*x^4)^(1/4)/x,x)","{\left(a-b\,x^4\right)}^{1/4}-\frac{a^{1/4}\,\mathrm{atanh}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)}{2}-\frac{a^{1/4}\,\mathrm{atan}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)}{2}","Not used",1,"(a - b*x^4)^(1/4) - (a^(1/4)*atanh((a - b*x^4)^(1/4)/a^(1/4)))/2 - (a^(1/4)*atan((a - b*x^4)^(1/4)/a^(1/4)))/2","B"
1181,1,58,78,1.286417,"\text{Not used}","int((a - b*x^4)^(1/4)/x^5,x)","\frac{b\,\mathrm{atan}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{3/4}}-\frac{{\left(a-b\,x^4\right)}^{1/4}}{4\,x^4}+\frac{b\,\mathrm{atanh}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{3/4}}","Not used",1,"(b*atan((a - b*x^4)^(1/4)/a^(1/4)))/(8*a^(3/4)) - (a - b*x^4)^(1/4)/(4*x^4) + (b*atanh((a - b*x^4)^(1/4)/a^(1/4)))/(8*a^(3/4))","B"
1182,1,83,105,1.450841,"\text{Not used}","int((a - b*x^4)^(1/4)/x^9,x)","\frac{3\,b^2\,\mathrm{atan}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)}{64\,a^{7/4}}-\frac{3\,{\left(a-b\,x^4\right)}^{1/4}}{32\,x^8}-\frac{{\left(a-b\,x^4\right)}^{5/4}}{32\,a\,x^8}-\frac{b^2\,\mathrm{atan}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}\,1{}\mathrm{i}}{a^{1/4}}\right)\,3{}\mathrm{i}}{64\,a^{7/4}}","Not used",1,"(3*b^2*atan((a - b*x^4)^(1/4)/a^(1/4)))/(64*a^(7/4)) - (3*(a - b*x^4)^(1/4))/(32*x^8) - (b^2*atan(((a - b*x^4)^(1/4)*1i)/a^(1/4))*3i)/(64*a^(7/4)) - (a - b*x^4)^(5/4)/(32*a*x^8)","B"
1183,0,-1,130,0.000000,"\text{Not used}","int(x^9*(a - b*x^4)^(1/4),x)","\int x^9\,{\left(a-b\,x^4\right)}^{1/4} \,d x","Not used",1,"int(x^9*(a - b*x^4)^(1/4), x)","F"
1184,0,-1,105,0.000000,"\text{Not used}","int(x^5*(a - b*x^4)^(1/4),x)","\int x^5\,{\left(a-b\,x^4\right)}^{1/4} \,d x","Not used",1,"int(x^5*(a - b*x^4)^(1/4), x)","F"
1185,0,-1,82,0.000000,"\text{Not used}","int(x*(a - b*x^4)^(1/4),x)","\int x\,{\left(a-b\,x^4\right)}^{1/4} \,d x","Not used",1,"int(x*(a - b*x^4)^(1/4), x)","F"
1186,0,-1,82,0.000000,"\text{Not used}","int((a - b*x^4)^(1/4)/x^3,x)","\int \frac{{\left(a-b\,x^4\right)}^{1/4}}{x^3} \,d x","Not used",1,"int((a - b*x^4)^(1/4)/x^3, x)","F"
1187,0,-1,105,0.000000,"\text{Not used}","int((a - b*x^4)^(1/4)/x^7,x)","\int \frac{{\left(a-b\,x^4\right)}^{1/4}}{x^7} \,d x","Not used",1,"int((a - b*x^4)^(1/4)/x^7, x)","F"
1188,0,-1,130,0.000000,"\text{Not used}","int((a - b*x^4)^(1/4)/x^11,x)","\int \frac{{\left(a-b\,x^4\right)}^{1/4}}{x^{11}} \,d x","Not used",1,"int((a - b*x^4)^(1/4)/x^11, x)","F"
1189,0,-1,263,0.000000,"\text{Not used}","int(x^6*(a - b*x^4)^(1/4),x)","\int x^6\,{\left(a-b\,x^4\right)}^{1/4} \,d x","Not used",1,"int(x^6*(a - b*x^4)^(1/4), x)","F"
1190,0,-1,232,0.000000,"\text{Not used}","int(x^2*(a - b*x^4)^(1/4),x)","\int x^2\,{\left(a-b\,x^4\right)}^{1/4} \,d x","Not used",1,"int(x^2*(a - b*x^4)^(1/4), x)","F"
1191,1,41,226,1.281890,"\text{Not used}","int((a - b*x^4)^(1/4)/x^2,x)","-\frac{{\left(a-b\,x^4\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},-\frac{1}{4};\ \frac{3}{4};\ \frac{b\,x^4}{a}\right)}{x\,{\left(1-\frac{b\,x^4}{a}\right)}^{1/4}}","Not used",1,"-((a - b*x^4)^(1/4)*hypergeom([-1/4, -1/4], 3/4, (b*x^4)/a))/(x*(1 - (b*x^4)/a)^(1/4))","B"
1192,1,18,22,1.208857,"\text{Not used}","int((a - b*x^4)^(1/4)/x^6,x)","-\frac{{\left(a-b\,x^4\right)}^{5/4}}{5\,a\,x^5}","Not used",1,"-(a - b*x^4)^(5/4)/(5*a*x^5)","B"
1193,1,38,46,1.301635,"\text{Not used}","int((a - b*x^4)^(1/4)/x^10,x)","\frac{{\left(a-b\,x^4\right)}^{1/4}\,\left(-5\,a^2+a\,b\,x^4+4\,b^2\,x^8\right)}{45\,a^2\,x^9}","Not used",1,"((a - b*x^4)^(1/4)*(4*b^2*x^8 - 5*a^2 + a*b*x^4))/(45*a^2*x^9)","B"
1194,1,77,71,1.480579,"\text{Not used}","int((a - b*x^4)^(1/4)/x^14,x)","\frac{b\,{\left(a-b\,x^4\right)}^{1/4}}{117\,a\,x^9}-\frac{{\left(a-b\,x^4\right)}^{1/4}}{13\,x^{13}}+\frac{32\,b^3\,{\left(a-b\,x^4\right)}^{1/4}}{585\,a^3\,x}+\frac{8\,b^2\,{\left(a-b\,x^4\right)}^{1/4}}{585\,a^2\,x^5}","Not used",1,"(b*(a - b*x^4)^(1/4))/(117*a*x^9) - (a - b*x^4)^(1/4)/(13*x^13) + (32*b^3*(a - b*x^4)^(1/4))/(585*a^3*x) + (8*b^2*(a - b*x^4)^(1/4))/(585*a^2*x^5)","B"
1195,1,98,96,1.756550,"\text{Not used}","int((a - b*x^4)^(1/4)/x^18,x)","\frac{b\,{\left(a-b\,x^4\right)}^{1/4}}{221\,a\,x^{13}}-\frac{{\left(a-b\,x^4\right)}^{1/4}}{17\,x^{17}}+\frac{128\,b^4\,{\left(a-b\,x^4\right)}^{1/4}}{3315\,a^4\,x}+\frac{32\,b^3\,{\left(a-b\,x^4\right)}^{1/4}}{3315\,a^3\,x^5}+\frac{4\,b^2\,{\left(a-b\,x^4\right)}^{1/4}}{663\,a^2\,x^9}","Not used",1,"(b*(a - b*x^4)^(1/4))/(221*a*x^13) - (a - b*x^4)^(1/4)/(17*x^17) + (128*b^4*(a - b*x^4)^(1/4))/(3315*a^4*x) + (32*b^3*(a - b*x^4)^(1/4))/(3315*a^3*x^5) + (4*b^2*(a - b*x^4)^(1/4))/(663*a^2*x^9)","B"
1196,0,-1,156,0.000000,"\text{Not used}","int(x^12*(a - b*x^4)^(1/4),x)","\int x^{12}\,{\left(a-b\,x^4\right)}^{1/4} \,d x","Not used",1,"int(x^12*(a - b*x^4)^(1/4), x)","F"
1197,0,-1,131,0.000000,"\text{Not used}","int(x^8*(a - b*x^4)^(1/4),x)","\int x^8\,{\left(a-b\,x^4\right)}^{1/4} \,d x","Not used",1,"int(x^8*(a - b*x^4)^(1/4), x)","F"
1198,0,-1,106,0.000000,"\text{Not used}","int(x^4*(a - b*x^4)^(1/4),x)","\int x^4\,{\left(a-b\,x^4\right)}^{1/4} \,d x","Not used",1,"int(x^4*(a - b*x^4)^(1/4), x)","F"
1199,1,38,83,1.069515,"\text{Not used}","int((a - b*x^4)^(1/4),x)","\frac{x\,{\left(a-b\,x^4\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ \frac{b\,x^4}{a}\right)}{{\left(1-\frac{b\,x^4}{a}\right)}^{1/4}}","Not used",1,"(x*(a - b*x^4)^(1/4)*hypergeom([-1/4, 1/4], 5/4, (b*x^4)/a))/(1 - (b*x^4)/a)^(1/4)","B"
1200,0,-1,85,0.000000,"\text{Not used}","int((a - b*x^4)^(1/4)/x^4,x)","\int \frac{{\left(a-b\,x^4\right)}^{1/4}}{x^4} \,d x","Not used",1,"int((a - b*x^4)^(1/4)/x^4, x)","F"
1201,0,-1,108,0.000000,"\text{Not used}","int((a - b*x^4)^(1/4)/x^8,x)","\int \frac{{\left(a-b\,x^4\right)}^{1/4}}{x^8} \,d x","Not used",1,"int((a - b*x^4)^(1/4)/x^8, x)","F"
1202,0,-1,133,0.000000,"\text{Not used}","int((a - b*x^4)^(1/4)/x^12,x)","\int \frac{{\left(a-b\,x^4\right)}^{1/4}}{x^{12}} \,d x","Not used",1,"int((a - b*x^4)^(1/4)/x^12, x)","F"
1203,0,-1,158,0.000000,"\text{Not used}","int((a - b*x^4)^(1/4)/x^16,x)","\int \frac{{\left(a-b\,x^4\right)}^{1/4}}{x^{16}} \,d x","Not used",1,"int((a - b*x^4)^(1/4)/x^16, x)","F"
1204,1,60,106,1.197305,"\text{Not used}","int(x^19/(a - b*x^4)^(1/4),x)","-{\left(a-b\,x^4\right)}^{3/4}\,\left(\frac{2048\,a^4}{21945\,b^5}+\frac{x^{16}}{19\,b}+\frac{16\,a\,x^{12}}{285\,b^2}+\frac{512\,a^3\,x^4}{7315\,b^4}+\frac{64\,a^2\,x^8}{1045\,b^3}\right)","Not used",1,"-(a - b*x^4)^(3/4)*((2048*a^4)/(21945*b^5) + x^16/(19*b) + (16*a*x^12)/(285*b^2) + (512*a^3*x^4)/(7315*b^4) + (64*a^2*x^8)/(1045*b^3))","B"
1205,1,49,84,1.169119,"\text{Not used}","int(x^15/(a - b*x^4)^(1/4),x)","-{\left(a-b\,x^4\right)}^{3/4}\,\left(\frac{128\,a^3}{1155\,b^4}+\frac{x^{12}}{15\,b}+\frac{4\,a\,x^8}{55\,b^2}+\frac{32\,a^2\,x^4}{385\,b^3}\right)","Not used",1,"-(a - b*x^4)^(3/4)*((128*a^3)/(1155*b^4) + x^12/(15*b) + (4*a*x^8)/(55*b^2) + (32*a^2*x^4)/(385*b^3))","B"
1206,1,38,62,1.159808,"\text{Not used}","int(x^11/(a - b*x^4)^(1/4),x)","-{\left(a-b\,x^4\right)}^{3/4}\,\left(\frac{32\,a^2}{231\,b^3}+\frac{x^8}{11\,b}+\frac{8\,a\,x^4}{77\,b^2}\right)","Not used",1,"-(a - b*x^4)^(3/4)*((32*a^2)/(231*b^3) + x^8/(11*b) + (8*a*x^4)/(77*b^2))","B"
1207,1,27,40,1.152359,"\text{Not used}","int(x^7/(a - b*x^4)^(1/4),x)","-{\left(a-b\,x^4\right)}^{3/4}\,\left(\frac{4\,a}{21\,b^2}+\frac{x^4}{7\,b}\right)","Not used",1,"-(a - b*x^4)^(3/4)*((4*a)/(21*b^2) + x^4/(7*b))","B"
1208,1,15,19,1.131347,"\text{Not used}","int(x^3/(a - b*x^4)^(1/4),x)","-\frac{{\left(a-b\,x^4\right)}^{3/4}}{3\,b}","Not used",1,"-(a - b*x^4)^(3/4)/(3*b)","B"
1209,1,38,57,1.179266,"\text{Not used}","int(1/(x*(a - b*x^4)^(1/4)),x)","\frac{\mathrm{atan}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)-\mathrm{atanh}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)}{2\,a^{1/4}}","Not used",1,"(atan((a - b*x^4)^(1/4)/a^(1/4)) - atanh((a - b*x^4)^(1/4)/a^(1/4)))/(2*a^(1/4))","B"
1210,1,61,81,1.302305,"\text{Not used}","int(1/(x^5*(a - b*x^4)^(1/4)),x)","\frac{b\,\mathrm{atan}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{5/4}}-\frac{{\left(a-b\,x^4\right)}^{3/4}}{4\,a\,x^4}-\frac{b\,\mathrm{atanh}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{5/4}}","Not used",1,"(b*atan((a - b*x^4)^(1/4)/a^(1/4)))/(8*a^(5/4)) - (a - b*x^4)^(3/4)/(4*a*x^4) - (b*atanh((a - b*x^4)^(1/4)/a^(1/4)))/(8*a^(5/4))","B"
1211,1,86,108,1.390391,"\text{Not used}","int(1/(x^9*(a - b*x^4)^(1/4)),x)","\frac{5\,b^2\,\mathrm{atan}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)}{64\,a^{9/4}}-\frac{9\,{\left(a-b\,x^4\right)}^{3/4}}{32\,a\,x^8}+\frac{5\,{\left(a-b\,x^4\right)}^{7/4}}{32\,a^2\,x^8}+\frac{b^2\,\mathrm{atan}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}\,1{}\mathrm{i}}{a^{1/4}}\right)\,5{}\mathrm{i}}{64\,a^{9/4}}","Not used",1,"(5*b^2*atan((a - b*x^4)^(1/4)/a^(1/4)))/(64*a^(9/4)) + (b^2*atan(((a - b*x^4)^(1/4)*1i)/a^(1/4))*5i)/(64*a^(9/4)) - (9*(a - b*x^4)^(3/4))/(32*a*x^8) + (5*(a - b*x^4)^(7/4))/(32*a^2*x^8)","B"
1212,0,-1,133,0.000000,"\text{Not used}","int(x^13/(a - b*x^4)^(1/4),x)","\int \frac{x^{13}}{{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(x^13/(a - b*x^4)^(1/4), x)","F"
1213,0,-1,108,0.000000,"\text{Not used}","int(x^9/(a - b*x^4)^(1/4),x)","\int \frac{x^9}{{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(x^9/(a - b*x^4)^(1/4), x)","F"
1214,0,-1,85,0.000000,"\text{Not used}","int(x^5/(a - b*x^4)^(1/4),x)","\int \frac{x^5}{{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(x^5/(a - b*x^4)^(1/4), x)","F"
1215,0,-1,59,0.000000,"\text{Not used}","int(x/(a - b*x^4)^(1/4),x)","\int \frac{x}{{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(x/(a - b*x^4)^(1/4), x)","F"
1216,0,-1,85,0.000000,"\text{Not used}","int(1/(x^3*(a - b*x^4)^(1/4)),x)","\int \frac{1}{x^3\,{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^3*(a - b*x^4)^(1/4)), x)","F"
1217,0,-1,108,0.000000,"\text{Not used}","int(1/(x^7*(a - b*x^4)^(1/4)),x)","\int \frac{1}{x^7\,{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^7*(a - b*x^4)^(1/4)), x)","F"
1218,0,-1,133,0.000000,"\text{Not used}","int(1/(x^11*(a - b*x^4)^(1/4)),x)","\int \frac{1}{x^{11}\,{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^11*(a - b*x^4)^(1/4)), x)","F"
1219,0,-1,264,0.000000,"\text{Not used}","int(x^8/(a - b*x^4)^(1/4),x)","\int \frac{x^8}{{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(x^8/(a - b*x^4)^(1/4), x)","F"
1220,0,-1,233,0.000000,"\text{Not used}","int(x^4/(a - b*x^4)^(1/4),x)","\int \frac{x^4}{{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(x^4/(a - b*x^4)^(1/4), x)","F"
1221,1,38,209,1.100717,"\text{Not used}","int(1/(a - b*x^4)^(1/4),x)","\frac{x\,{\left(1-\frac{b\,x^4}{a}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ \frac{b\,x^4}{a}\right)}{{\left(a-b\,x^4\right)}^{1/4}}","Not used",1,"(x*(1 - (b*x^4)/a)^(1/4)*hypergeom([1/4, 1/4], 5/4, (b*x^4)/a))/(a - b*x^4)^(1/4)","B"
1222,1,18,22,1.094992,"\text{Not used}","int(1/(x^4*(a - b*x^4)^(1/4)),x)","-\frac{{\left(a-b\,x^4\right)}^{3/4}}{3\,a\,x^3}","Not used",1,"-(a - b*x^4)^(3/4)/(3*a*x^3)","B"
1223,1,38,46,1.170480,"\text{Not used}","int(1/(x^8*(a - b*x^4)^(1/4)),x)","-\frac{3\,a\,{\left(a-b\,x^4\right)}^{3/4}+4\,b\,x^4\,{\left(a-b\,x^4\right)}^{3/4}}{21\,a^2\,x^7}","Not used",1,"-(3*a*(a - b*x^4)^(3/4) + 4*b*x^4*(a - b*x^4)^(3/4))/(21*a^2*x^7)","B"
1224,1,59,71,1.261091,"\text{Not used}","int(1/(x^12*(a - b*x^4)^(1/4)),x)","-\frac{21\,a^2\,{\left(a-b\,x^4\right)}^{3/4}+32\,b^2\,x^8\,{\left(a-b\,x^4\right)}^{3/4}+24\,a\,b\,x^4\,{\left(a-b\,x^4\right)}^{3/4}}{231\,a^3\,x^{11}}","Not used",1,"-(21*a^2*(a - b*x^4)^(3/4) + 32*b^2*x^8*(a - b*x^4)^(3/4) + 24*a*b*x^4*(a - b*x^4)^(3/4))/(231*a^3*x^11)","B"
1225,1,80,96,1.364289,"\text{Not used}","int(1/(x^16*(a - b*x^4)^(1/4)),x)","-\frac{{\left(a-b\,x^4\right)}^{3/4}}{15\,a\,x^{15}}-\frac{4\,b\,{\left(a-b\,x^4\right)}^{3/4}}{55\,a^2\,x^{11}}-\frac{128\,b^3\,{\left(a-b\,x^4\right)}^{3/4}}{1155\,a^4\,x^3}-\frac{32\,b^2\,{\left(a-b\,x^4\right)}^{3/4}}{385\,a^3\,x^7}","Not used",1,"- (a - b*x^4)^(3/4)/(15*a*x^15) - (4*b*(a - b*x^4)^(3/4))/(55*a^2*x^11) - (128*b^3*(a - b*x^4)^(3/4))/(1155*a^4*x^3) - (32*b^2*(a - b*x^4)^(3/4))/(385*a^3*x^7)","B"
1226,1,101,121,1.438269,"\text{Not used}","int(1/(x^20*(a - b*x^4)^(1/4)),x)","-\frac{{\left(a-b\,x^4\right)}^{3/4}}{19\,a\,x^{19}}-\frac{16\,b\,{\left(a-b\,x^4\right)}^{3/4}}{285\,a^2\,x^{15}}-\frac{2048\,b^4\,{\left(a-b\,x^4\right)}^{3/4}}{21945\,a^5\,x^3}-\frac{512\,b^3\,{\left(a-b\,x^4\right)}^{3/4}}{7315\,a^4\,x^7}-\frac{64\,b^2\,{\left(a-b\,x^4\right)}^{3/4}}{1045\,a^3\,x^{11}}","Not used",1,"- (a - b*x^4)^(3/4)/(19*a*x^19) - (16*b*(a - b*x^4)^(3/4))/(285*a^2*x^15) - (2048*b^4*(a - b*x^4)^(3/4))/(21945*a^5*x^3) - (512*b^3*(a - b*x^4)^(3/4))/(7315*a^4*x^7) - (64*b^2*(a - b*x^4)^(3/4))/(1045*a^3*x^11)","B"
1227,0,-1,134,0.000000,"\text{Not used}","int(x^10/(a - b*x^4)^(1/4),x)","\int \frac{x^{10}}{{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(x^10/(a - b*x^4)^(1/4), x)","F"
1228,0,-1,109,0.000000,"\text{Not used}","int(x^6/(a - b*x^4)^(1/4),x)","\int \frac{x^6}{{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(x^6/(a - b*x^4)^(1/4), x)","F"
1229,0,-1,86,0.000000,"\text{Not used}","int(x^2/(a - b*x^4)^(1/4),x)","\int \frac{x^2}{{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(x^2/(a - b*x^4)^(1/4), x)","F"
1230,1,41,61,1.339991,"\text{Not used}","int(1/(x^2*(a - b*x^4)^(1/4)),x)","-\frac{{\left(1-\frac{a}{b\,x^4}\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{3}{2};\ \frac{a}{b\,x^4}\right)}{2\,x\,{\left(a-b\,x^4\right)}^{1/4}}","Not used",1,"-((1 - a/(b*x^4))^(1/4)*hypergeom([1/4, 1/2], 3/2, a/(b*x^4)))/(2*x*(a - b*x^4)^(1/4))","B"
1231,0,-1,86,0.000000,"\text{Not used}","int(1/(x^6*(a - b*x^4)^(1/4)),x)","\int \frac{1}{x^6\,{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^6*(a - b*x^4)^(1/4)), x)","F"
1232,0,-1,109,0.000000,"\text{Not used}","int(1/(x^10*(a - b*x^4)^(1/4)),x)","\int \frac{1}{x^{10}\,{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^10*(a - b*x^4)^(1/4)), x)","F"
1233,0,-1,134,0.000000,"\text{Not used}","int(1/(x^14*(a - b*x^4)^(1/4)),x)","\int \frac{1}{x^{14}\,{\left(a-b\,x^4\right)}^{1/4}} \,d x","Not used",1,"int(1/(x^14*(a - b*x^4)^(1/4)), x)","F"
1234,1,60,104,1.218780,"\text{Not used}","int(x^19/(a - b*x^4)^(3/4),x)","-{\left(a-b\,x^4\right)}^{1/4}\,\left(\frac{2048\,a^4}{3315\,b^5}+\frac{x^{16}}{17\,b}+\frac{16\,a\,x^{12}}{221\,b^2}+\frac{512\,a^3\,x^4}{3315\,b^4}+\frac{64\,a^2\,x^8}{663\,b^3}\right)","Not used",1,"-(a - b*x^4)^(1/4)*((2048*a^4)/(3315*b^5) + x^16/(17*b) + (16*a*x^12)/(221*b^2) + (512*a^3*x^4)/(3315*b^4) + (64*a^2*x^8)/(663*b^3))","B"
1235,1,49,82,1.170258,"\text{Not used}","int(x^15/(a - b*x^4)^(3/4),x)","-{\left(a-b\,x^4\right)}^{1/4}\,\left(\frac{128\,a^3}{195\,b^4}+\frac{x^{12}}{13\,b}+\frac{4\,a\,x^8}{39\,b^2}+\frac{32\,a^2\,x^4}{195\,b^3}\right)","Not used",1,"-(a - b*x^4)^(1/4)*((128*a^3)/(195*b^4) + x^12/(13*b) + (4*a*x^8)/(39*b^2) + (32*a^2*x^4)/(195*b^3))","B"
1236,1,38,60,1.151759,"\text{Not used}","int(x^11/(a - b*x^4)^(3/4),x)","-{\left(a-b\,x^4\right)}^{1/4}\,\left(\frac{32\,a^2}{45\,b^3}+\frac{x^8}{9\,b}+\frac{8\,a\,x^4}{45\,b^2}\right)","Not used",1,"-(a - b*x^4)^(1/4)*((32*a^2)/(45*b^3) + x^8/(9*b) + (8*a*x^4)/(45*b^2))","B"
1237,1,24,38,1.148961,"\text{Not used}","int(x^7/(a - b*x^4)^(3/4),x)","-\frac{{\left(a-b\,x^4\right)}^{1/4}\,\left(b\,x^4+4\,a\right)}{5\,b^2}","Not used",1,"-((a - b*x^4)^(1/4)*(4*a + b*x^4))/(5*b^2)","B"
1238,1,15,17,1.130811,"\text{Not used}","int(x^3/(a - b*x^4)^(3/4),x)","-\frac{{\left(a-b\,x^4\right)}^{1/4}}{b}","Not used",1,"-(a - b*x^4)^(1/4)/b","B"
1239,1,36,57,1.158568,"\text{Not used}","int(1/(x*(a - b*x^4)^(3/4)),x)","-\frac{\mathrm{atan}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)+\mathrm{atanh}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)}{2\,a^{3/4}}","Not used",1,"-(atan((a - b*x^4)^(1/4)/a^(1/4)) + atanh((a - b*x^4)^(1/4)/a^(1/4)))/(2*a^(3/4))","B"
1240,1,61,81,1.304906,"\text{Not used}","int(1/(x^5*(a - b*x^4)^(3/4)),x)","-\frac{{\left(a-b\,x^4\right)}^{1/4}}{4\,a\,x^4}-\frac{3\,b\,\mathrm{atan}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{7/4}}-\frac{3\,b\,\mathrm{atanh}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)}{8\,a^{7/4}}","Not used",1,"- (a - b*x^4)^(1/4)/(4*a*x^4) - (3*b*atan((a - b*x^4)^(1/4)/a^(1/4)))/(8*a^(7/4)) - (3*b*atanh((a - b*x^4)^(1/4)/a^(1/4)))/(8*a^(7/4))","B"
1241,1,86,108,1.393340,"\text{Not used}","int(1/(x^9*(a - b*x^4)^(3/4)),x)","\frac{7\,{\left(a-b\,x^4\right)}^{5/4}}{32\,a^2\,x^8}-\frac{11\,{\left(a-b\,x^4\right)}^{1/4}}{32\,a\,x^8}-\frac{21\,b^2\,\mathrm{atan}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}}{a^{1/4}}\right)}{64\,a^{11/4}}+\frac{b^2\,\mathrm{atan}\left(\frac{{\left(a-b\,x^4\right)}^{1/4}\,1{}\mathrm{i}}{a^{1/4}}\right)\,21{}\mathrm{i}}{64\,a^{11/4}}","Not used",1,"(b^2*atan(((a - b*x^4)^(1/4)*1i)/a^(1/4))*21i)/(64*a^(11/4)) - (21*b^2*atan((a - b*x^4)^(1/4)/a^(1/4)))/(64*a^(11/4)) - (11*(a - b*x^4)^(1/4))/(32*a*x^8) + (7*(a - b*x^4)^(5/4))/(32*a^2*x^8)","B"
1242,0,-1,133,0.000000,"\text{Not used}","int(x^13/(a - b*x^4)^(3/4),x)","\int \frac{x^{13}}{{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(x^13/(a - b*x^4)^(3/4), x)","F"
1243,0,-1,108,0.000000,"\text{Not used}","int(x^9/(a - b*x^4)^(3/4),x)","\int \frac{x^9}{{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(x^9/(a - b*x^4)^(3/4), x)","F"
1244,0,-1,85,0.000000,"\text{Not used}","int(x^5/(a - b*x^4)^(3/4),x)","\int \frac{x^5}{{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(x^5/(a - b*x^4)^(3/4), x)","F"
1245,0,-1,59,0.000000,"\text{Not used}","int(x/(a - b*x^4)^(3/4),x)","\int \frac{x}{{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(x/(a - b*x^4)^(3/4), x)","F"
1246,0,-1,85,0.000000,"\text{Not used}","int(1/(x^3*(a - b*x^4)^(3/4)),x)","\int \frac{1}{x^3\,{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^3*(a - b*x^4)^(3/4)), x)","F"
1247,0,-1,108,0.000000,"\text{Not used}","int(1/(x^7*(a - b*x^4)^(3/4)),x)","\int \frac{1}{x^7\,{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^7*(a - b*x^4)^(3/4)), x)","F"
1248,0,-1,133,0.000000,"\text{Not used}","int(1/(x^11*(a - b*x^4)^(3/4)),x)","\int \frac{1}{x^{11}\,{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^11*(a - b*x^4)^(3/4)), x)","F"
1249,0,-1,266,0.000000,"\text{Not used}","int(x^10/(a - b*x^4)^(3/4),x)","\int \frac{x^{10}}{{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(x^10/(a - b*x^4)^(3/4), x)","F"
1250,0,-1,235,0.000000,"\text{Not used}","int(x^6/(a - b*x^4)^(3/4),x)","\int \frac{x^6}{{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(x^6/(a - b*x^4)^(3/4), x)","F"
1251,0,-1,209,0.000000,"\text{Not used}","int(x^2/(a - b*x^4)^(3/4),x)","\int \frac{x^2}{{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(x^2/(a - b*x^4)^(3/4), x)","F"
1252,1,18,20,1.106558,"\text{Not used}","int(1/(x^2*(a - b*x^4)^(3/4)),x)","-\frac{{\left(a-b\,x^4\right)}^{1/4}}{a\,x}","Not used",1,"-(a - b*x^4)^(1/4)/(a*x)","B"
1253,1,26,46,1.187612,"\text{Not used}","int(1/(x^6*(a - b*x^4)^(3/4)),x)","-\frac{{\left(a-b\,x^4\right)}^{1/4}\,\left(4\,b\,x^4+a\right)}{5\,a^2\,x^5}","Not used",1,"-((a - b*x^4)^(1/4)*(a + 4*b*x^4))/(5*a^2*x^5)","B"
1254,1,39,71,1.285740,"\text{Not used}","int(1/(x^10*(a - b*x^4)^(3/4)),x)","-\frac{{\left(a-b\,x^4\right)}^{1/4}\,\left(5\,a^2+8\,a\,b\,x^4+32\,b^2\,x^8\right)}{45\,a^3\,x^9}","Not used",1,"-((a - b*x^4)^(1/4)*(5*a^2 + 32*b^2*x^8 + 8*a*b*x^4))/(45*a^3*x^9)","B"
1255,1,80,96,1.372249,"\text{Not used}","int(1/(x^14*(a - b*x^4)^(3/4)),x)","-\frac{{\left(a-b\,x^4\right)}^{1/4}}{13\,a\,x^{13}}-\frac{4\,b\,{\left(a-b\,x^4\right)}^{1/4}}{39\,a^2\,x^9}-\frac{128\,b^3\,{\left(a-b\,x^4\right)}^{1/4}}{195\,a^4\,x}-\frac{32\,b^2\,{\left(a-b\,x^4\right)}^{1/4}}{195\,a^3\,x^5}","Not used",1,"- (a - b*x^4)^(1/4)/(13*a*x^13) - (4*b*(a - b*x^4)^(1/4))/(39*a^2*x^9) - (128*b^3*(a - b*x^4)^(1/4))/(195*a^4*x) - (32*b^2*(a - b*x^4)^(1/4))/(195*a^3*x^5)","B"
1256,0,-1,134,0.000000,"\text{Not used}","int(x^12/(a - b*x^4)^(3/4),x)","\int \frac{x^{12}}{{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(x^12/(a - b*x^4)^(3/4), x)","F"
1257,0,-1,109,0.000000,"\text{Not used}","int(x^8/(a - b*x^4)^(3/4),x)","\int \frac{x^8}{{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(x^8/(a - b*x^4)^(3/4), x)","F"
1258,0,-1,86,0.000000,"\text{Not used}","int(x^4/(a - b*x^4)^(3/4),x)","\int \frac{x^4}{{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(x^4/(a - b*x^4)^(3/4), x)","F"
1259,1,38,63,1.096783,"\text{Not used}","int(1/(a - b*x^4)^(3/4),x)","\frac{x\,{\left(1-\frac{b\,x^4}{a}\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{4};\ \frac{5}{4};\ \frac{b\,x^4}{a}\right)}{{\left(a-b\,x^4\right)}^{3/4}}","Not used",1,"(x*(1 - (b*x^4)/a)^(3/4)*hypergeom([1/4, 3/4], 5/4, (b*x^4)/a))/(a - b*x^4)^(3/4)","B"
1260,0,-1,88,0.000000,"\text{Not used}","int(1/(x^4*(a - b*x^4)^(3/4)),x)","\int \frac{1}{x^4\,{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^4*(a - b*x^4)^(3/4)), x)","F"
1261,0,-1,111,0.000000,"\text{Not used}","int(1/(x^8*(a - b*x^4)^(3/4)),x)","\int \frac{1}{x^8\,{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^8*(a - b*x^4)^(3/4)), x)","F"
1262,0,-1,136,0.000000,"\text{Not used}","int(1/(x^12*(a - b*x^4)^(3/4)),x)","\int \frac{1}{x^{12}\,{\left(a-b\,x^4\right)}^{3/4}} \,d x","Not used",1,"int(1/(x^12*(a - b*x^4)^(3/4)), x)","F"
1263,0,-1,81,0.000000,"\text{Not used}","int(x^2/(a - b*x^4)^(5/4),x)","\int \frac{x^2}{{\left(a-b\,x^4\right)}^{5/4}} \,d x","Not used",1,"int(x^2/(a - b*x^4)^(5/4), x)","F"
1264,1,68,48,1.138568,"\text{Not used}","int(x^7*(a + b*x^4)^p,x)","{\left(b\,x^4+a\right)}^p\,\left(\frac{x^8\,\left(p+1\right)}{4\,\left(p^2+3\,p+2\right)}-\frac{a^2}{4\,b^2\,\left(p^2+3\,p+2\right)}+\frac{a\,p\,x^4}{4\,b\,\left(p^2+3\,p+2\right)}\right)","Not used",1,"(a + b*x^4)^p*((x^8*(p + 1))/(4*(3*p + p^2 + 2)) - a^2/(4*b^2*(3*p + p^2 + 2)) + (a*p*x^4)/(4*b*(3*p + p^2 + 2)))","B"
1265,1,21,23,1.122397,"\text{Not used}","int(x^3*(a + b*x^4)^p,x)","\frac{{\left(b\,x^4+a\right)}^{p+1}}{4\,b\,\left(p+1\right)}","Not used",1,"(a + b*x^4)^(p + 1)/(4*b*(p + 1))","B"
1266,0,-1,41,0.000000,"\text{Not used}","int((a + b*x^4)^p/x,x)","\int \frac{{\left(b\,x^4+a\right)}^p}{x} \,d x","Not used",1,"int((a + b*x^4)^p/x, x)","F"
1267,1,56,66,0.077364,"\text{Not used}","int(x^24/(a + b*x^5),x)","\frac{x^{20}}{20\,b}-\frac{a\,x^{15}}{15\,b^2}+\frac{a^4\,\ln\left(b\,x^5+a\right)}{5\,b^5}-\frac{a^3\,x^5}{5\,b^4}+\frac{a^2\,x^{10}}{10\,b^3}","Not used",1,"x^20/(20*b) - (a*x^15)/(15*b^2) + (a^4*log(a + b*x^5))/(5*b^5) - (a^3*x^5)/(5*b^4) + (a^2*x^10)/(10*b^3)","B"
1268,1,45,53,0.048818,"\text{Not used}","int(x^19/(a + b*x^5),x)","\frac{x^{15}}{15\,b}-\frac{a\,x^{10}}{10\,b^2}-\frac{a^3\,\ln\left(b\,x^5+a\right)}{5\,b^4}+\frac{a^2\,x^5}{5\,b^3}","Not used",1,"x^15/(15*b) - (a*x^10)/(10*b^2) - (a^3*log(a + b*x^5))/(5*b^4) + (a^2*x^5)/(5*b^3)","B"
1269,1,33,40,1.062379,"\text{Not used}","int(x^14/(a + b*x^5),x)","\frac{2\,a^2\,\ln\left(b\,x^5+a\right)+b^2\,x^{10}-2\,a\,b\,x^5}{10\,b^3}","Not used",1,"(2*a^2*log(a + b*x^5) + b^2*x^10 - 2*a*b*x^5)/(10*b^3)","B"
1270,1,22,27,1.049762,"\text{Not used}","int(x^9/(a + b*x^5),x)","-\frac{a\,\ln\left(b\,x^5+a\right)-b\,x^5}{5\,b^2}","Not used",1,"-(a*log(a + b*x^5) - b*x^5)/(5*b^2)","B"
1271,1,13,15,0.031741,"\text{Not used}","int(x^4/(a + b*x^5),x)","\frac{\ln\left(b\,x^5+a\right)}{5\,b}","Not used",1,"log(a + b*x^5)/(5*b)","B"
1272,1,18,22,0.086318,"\text{Not used}","int(1/(x*(a + b*x^5)),x)","-\frac{\ln\left(b\,x^5+a\right)-5\,\ln\left(x\right)}{5\,a}","Not used",1,"-(log(a + b*x^5) - 5*log(x))/(5*a)","B"
1273,1,31,35,1.069905,"\text{Not used}","int(1/(x^6*(a + b*x^5)),x)","\frac{b\,\ln\left(b\,x^5+a\right)}{5\,a^2}-\frac{1}{5\,a\,x^5}-\frac{b\,\ln\left(x\right)}{a^2}","Not used",1,"(b*log(a + b*x^5))/(5*a^2) - 1/(5*a*x^5) - (b*log(x))/a^2","B"
1274,1,46,49,0.089134,"\text{Not used}","int(1/(x^11*(a + b*x^5)),x)","\frac{b^2\,\ln\left(x\right)}{a^3}-\frac{b^2\,\ln\left(b\,x^5+a\right)}{5\,a^3}-\frac{\frac{1}{10\,a}-\frac{b\,x^5}{5\,a^2}}{x^{10}}","Not used",1,"(b^2*log(x))/a^3 - (b^2*log(a + b*x^5))/(5*a^3) - (1/(10*a) - (b*x^5)/(5*a^2))/x^10","B"
1275,1,58,63,1.086650,"\text{Not used}","int(1/(x^16*(a + b*x^5)),x)","\frac{b^3\,\ln\left(b\,x^5+a\right)}{5\,a^4}-\frac{\frac{1}{15\,a}-\frac{b\,x^5}{10\,a^2}+\frac{b^2\,x^{10}}{5\,a^3}}{x^{15}}-\frac{b^3\,\ln\left(x\right)}{a^4}","Not used",1,"(b^3*log(a + b*x^5))/(5*a^4) - (1/(15*a) - (b*x^5)/(10*a^2) + (b^2*x^10)/(5*a^3))/x^15 - (b^3*log(x))/a^4","B"
1276,1,235,301,1.528103,"\text{Not used}","int(1/(a + b*x^5),x)","\frac{\ln\left(b^{1/5}\,x+a^{1/5}\right)}{5\,a^{4/5}\,b^{1/5}}-\frac{\ln\left(5\,b^4\,x-\frac{5\,a^{1/5}\,b^{19/5}\,\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}{4}\right)\,\left(\sqrt{5}-\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^{4/5}\,b^{1/5}}-\frac{\ln\left(5\,b^4\,x-\frac{5\,a^{1/5}\,b^{19/5}\,\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}{4}\right)\,\left(\sqrt{-2\,\sqrt{5}-10}-\sqrt{5}+1\right)}{20\,a^{4/5}\,b^{1/5}}+\frac{\ln\left(5\,b^4\,x+\frac{5\,a^{1/5}\,b^{19/5}\,\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}{4}\right)\,\left(\sqrt{5}+\sqrt{-2\,\sqrt{5}-10}-1\right)}{20\,a^{4/5}\,b^{1/5}}-\frac{\ln\left(5\,b^4\,x-\frac{5\,a^{1/5}\,b^{19/5}\,\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}{4}\right)\,\left(\sqrt{5}+\sqrt{2\,\sqrt{5}-10}+1\right)}{20\,a^{4/5}\,b^{1/5}}","Not used",1,"log(b^(1/5)*x + a^(1/5))/(5*a^(4/5)*b^(1/5)) - (log(5*b^4*x - (5*a^(1/5)*b^(19/5)*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1))/4)*(5^(1/2) - (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^(4/5)*b^(1/5)) - (log(5*b^4*x - (5*a^(1/5)*b^(19/5)*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1))/4)*((- 2*5^(1/2) - 10)^(1/2) - 5^(1/2) + 1))/(20*a^(4/5)*b^(1/5)) + (log(5*b^4*x + (5*a^(1/5)*b^(19/5)*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1))/4)*(5^(1/2) + (- 2*5^(1/2) - 10)^(1/2) - 1))/(20*a^(4/5)*b^(1/5)) - (log(5*b^4*x - (5*a^(1/5)*b^(19/5)*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1))/4)*(5^(1/2) + (2*5^(1/2) - 10)^(1/2) + 1))/(20*a^(4/5)*b^(1/5))","B"
1277,1,68,72,0.089375,"\text{Not used}","int(x^24/(a + b*x^5)^2,x)","\frac{x^{15}}{15\,b^2}-\frac{a^4}{5\,b\,\left(b^5\,x^5+a\,b^4\right)}-\frac{a\,x^{10}}{5\,b^3}-\frac{4\,a^3\,\ln\left(b\,x^5+a\right)}{5\,b^5}+\frac{3\,a^2\,x^5}{5\,b^4}","Not used",1,"x^15/(15*b^2) - a^4/(5*b*(a*b^4 + b^5*x^5)) - (a*x^10)/(5*b^3) - (4*a^3*log(a + b*x^5))/(5*b^5) + (3*a^2*x^5)/(5*b^4)","B"
1278,1,57,59,0.087569,"\text{Not used}","int(x^19/(a + b*x^5)^2,x)","\frac{x^{10}}{10\,b^2}+\frac{a^3}{5\,b\,\left(b^4\,x^5+a\,b^3\right)}-\frac{2\,a\,x^5}{5\,b^3}+\frac{3\,a^2\,\ln\left(b\,x^5+a\right)}{5\,b^4}","Not used",1,"x^10/(10*b^2) + a^3/(5*b*(a*b^3 + b^4*x^5)) - (2*a*x^5)/(5*b^3) + (3*a^2*log(a + b*x^5))/(5*b^4)","B"
1279,1,45,46,1.050750,"\text{Not used}","int(x^14/(a + b*x^5)^2,x)","\frac{x^5}{5\,b^2}-\frac{a^2}{5\,\left(b^4\,x^5+a\,b^3\right)}-\frac{2\,a\,\ln\left(b\,x^5+a\right)}{5\,b^3}","Not used",1,"x^5/(5*b^2) - a^2/(5*(a*b^3 + b^4*x^5)) - (2*a*log(a + b*x^5))/(5*b^3)","B"
1280,1,29,33,0.047724,"\text{Not used}","int(x^9/(a + b*x^5)^2,x)","\frac{\ln\left(b\,x^5+a\right)}{5\,b^2}+\frac{a}{5\,b^2\,\left(b\,x^5+a\right)}","Not used",1,"log(a + b*x^5)/(5*b^2) + a/(5*b^2*(a + b*x^5))","B"
1281,1,14,16,0.026821,"\text{Not used}","int(x^4/(a + b*x^5)^2,x)","-\frac{1}{5\,b\,\left(b\,x^5+a\right)}","Not used",1,"-1/(5*b*(a + b*x^5))","B"
1282,1,34,38,0.065175,"\text{Not used}","int(1/(x*(a + b*x^5)^2),x)","\frac{\ln\left(x\right)}{a^2}+\frac{1}{5\,a\,\left(b\,x^5+a\right)}-\frac{\ln\left(b\,x^5+a\right)}{5\,a^2}","Not used",1,"log(x)/a^2 + 1/(5*a*(a + b*x^5)) - log(a + b*x^5)/(5*a^2)","B"
1283,1,53,52,1.068877,"\text{Not used}","int(1/(x^6*(a + b*x^5)^2),x)","\frac{2\,b\,\ln\left(b\,x^5+a\right)}{5\,a^3}-\frac{\frac{1}{5\,a}+\frac{2\,b\,x^5}{5\,a^2}}{b\,x^{10}+a\,x^5}-\frac{2\,b\,\ln\left(x\right)}{a^3}","Not used",1,"(2*b*log(a + b*x^5))/(5*a^3) - (1/(5*a) + (2*b*x^5)/(5*a^2))/(a*x^5 + b*x^10) - (2*b*log(x))/a^3","B"
1284,1,67,69,1.070233,"\text{Not used}","int(1/(x^11*(a + b*x^5)^2),x)","\frac{\frac{3\,b\,x^5}{10\,a^2}-\frac{1}{10\,a}+\frac{3\,b^2\,x^{10}}{5\,a^3}}{b\,x^{15}+a\,x^{10}}-\frac{3\,b^2\,\ln\left(b\,x^5+a\right)}{5\,a^4}+\frac{3\,b^2\,\ln\left(x\right)}{a^4}","Not used",1,"((3*b*x^5)/(10*a^2) - 1/(10*a) + (3*b^2*x^10)/(5*a^3))/(a*x^10 + b*x^15) - (3*b^2*log(a + b*x^5))/(5*a^4) + (3*b^2*log(x))/a^4","B"
1285,1,22,34,0.056228,"\text{Not used}","int(x^14/(2*b + b*x^5),x)","\frac{8\,\ln\left(x^5+2\right)-4\,x^5+x^{10}}{10\,b}","Not used",1,"(8*log(x^5 + 2) - 4*x^5 + x^10)/(10*b)","B"
1286,1,19,24,0.035037,"\text{Not used}","int(x^9/(2*b + b*x^5),x)","-\frac{2\,\ln\left(x^5+2\right)-x^5}{5\,b}","Not used",1,"-(2*log(x^5 + 2) - x^5)/(5*b)","B"
1287,1,11,13,0.038822,"\text{Not used}","int(x^4/(2*b + b*x^5),x)","\frac{\ln\left(x^5+2\right)}{5\,b}","Not used",1,"log(x^5 + 2)/(5*b)","B"
1288,1,19,23,1.094664,"\text{Not used}","int(1/(x*(2*b + b*x^5)),x)","\frac{\ln\left(x\right)}{2\,b}-\frac{\ln\left(x^5+2\right)}{10\,b}","Not used",1,"log(x)/(2*b) - log(x^5 + 2)/(10*b)","B"
1289,1,27,33,1.069408,"\text{Not used}","int(1/(x^6*(2*b + b*x^5)),x)","\frac{\ln\left(x^5+2\right)}{20\,b}-\frac{\ln\left(x\right)}{4\,b}-\frac{1}{10\,b\,x^5}","Not used",1,"log(x^5 + 2)/(20*b) - log(x)/(4*b) - 1/(10*b*x^5)","B"
1290,1,29,36,0.053435,"\text{Not used}","int(x^14/(b*x^5 + 3),x)","\frac{18\,\ln\left(b\,x^5+3\right)-6\,b\,x^5+b^2\,x^{10}}{10\,b^3}","Not used",1,"(18*log(b*x^5 + 3) - 6*b*x^5 + b^2*x^10)/(10*b^3)","B"
1291,1,22,26,1.017688,"\text{Not used}","int(x^9/(b*x^5 + 3),x)","-\frac{3\,\ln\left(b\,x^5+3\right)-b\,x^5}{5\,b^2}","Not used",1,"-(3*log(b*x^5 + 3) - b*x^5)/(5*b^2)","B"
1292,1,13,15,1.019579,"\text{Not used}","int(x^4/(b*x^5 + 3),x)","\frac{\ln\left(b\,x^5+3\right)}{5\,b}","Not used",1,"log(b*x^5 + 3)/(5*b)","B"
1293,1,16,19,0.062548,"\text{Not used}","int(1/(x*(b*x^5 + 3)),x)","\frac{\ln\left(x\right)}{3}-\frac{\ln\left(\frac{2\,b\,x^5}{5}+\frac{6}{5}\right)}{15}","Not used",1,"log(x)/3 - log((2*b*x^5)/5 + 6/5)/15","B"
1294,1,22,28,0.060079,"\text{Not used}","int(1/(x^6*(b*x^5 + 3)),x)","\frac{b\,\ln\left(b\,x^5+3\right)}{45}-\frac{b\,\ln\left(x\right)}{9}-\frac{1}{15\,x^5}","Not used",1,"(b*log(b*x^5 + 3))/45 - (b*log(x))/9 - 1/(15*x^5)","B"
1295,1,19,25,0.036008,"\text{Not used}","int(x^14/(x^5 + 1),x)","\frac{\ln\left(x^5+1\right)}{5}-\frac{x^5}{5}+\frac{x^{10}}{10}","Not used",1,"log(x^5 + 1)/5 - x^5/5 + x^10/10","B"
1296,1,14,18,0.029434,"\text{Not used}","int(x^9/(x^5 + 1),x)","\frac{x^5}{5}-\frac{\ln\left(x^5+1\right)}{5}","Not used",1,"x^5/5 - log(x^5 + 1)/5","B"
1297,1,8,10,0.029689,"\text{Not used}","int(x^4/(x^5 + 1),x)","\frac{\ln\left(x^5+1\right)}{5}","Not used",1,"log(x^5 + 1)/5","B"
1298,1,11,13,1.053419,"\text{Not used}","int(1/(x*(x^5 + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^5+1\right)}{5}","Not used",1,"log(x) - log(x^5 + 1)/5","B"
1299,1,18,22,0.051949,"\text{Not used}","int(1/(x^6*(x^5 + 1)),x)","\frac{\ln\left(x^5+1\right)}{5}-\ln\left(x\right)-\frac{1}{5\,x^5}","Not used",1,"log(x^5 + 1)/5 - log(x) - 1/(5*x^5)","B"
1300,1,181,186,0.290678,"\text{Not used}","int(x^5/(x^5 + 1),x)","x-\frac{\ln\left(x+1\right)}{5}+\ln\left(x-\frac{\sqrt{5}}{4}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{4}-\frac{1}{4}\right)\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)+\ln\left(x-\frac{\sqrt{5}}{4}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{4}-\frac{1}{4}\right)\,\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)+\ln\left(x-\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{4}+\frac{\sqrt{5}}{4}-\frac{1}{4}\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)-\ln\left(x+\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{4}+\frac{\sqrt{5}}{4}-\frac{1}{4}\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}+\frac{\sqrt{5}}{20}-\frac{1}{20}\right)","Not used",1,"x - log(x + 1)/5 + log(x - 5^(1/2)/4 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/4 - 1/4)*(5^(1/2)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) + log(x - 5^(1/2)/4 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/4 - 1/4)*(5^(1/2)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) + log(x - (2^(1/2)*(- 5^(1/2) - 5)^(1/2))/4 + 5^(1/2)/4 - 1/4)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 - 5^(1/2)/20 + 1/20) - log(x + (2^(1/2)*(- 5^(1/2) - 5)^(1/2))/4 + 5^(1/2)/4 - 1/4)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 + 5^(1/2)/20 - 1/20)","B"
1301,1,196,185,1.267761,"\text{Not used}","int(x^3/(x^5 + 1),x)","\ln\left(25\,x\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)-5\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)-\frac{\ln\left(x+1\right)}{5}-\ln\left(25\,x\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}+\frac{\sqrt{5}}{20}-\frac{1}{20}\right)+5\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}+\frac{\sqrt{5}}{20}-\frac{1}{20}\right)+\ln\left(25\,x\,\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)-5\right)\,\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)+\ln\left(25\,x\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)-5\right)\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)","Not used",1,"log(25*x*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 - 5^(1/2)/20 + 1/20) - 5)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 - 5^(1/2)/20 + 1/20) - log(x + 1)/5 - log(25*x*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 + 5^(1/2)/20 - 1/20) + 5)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 + 5^(1/2)/20 - 1/20) + log(25*x*(5^(1/2)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) - 5)*(5^(1/2)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) + log(25*x*(5^(1/2)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) - 5)*(5^(1/2)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20)","B"
1302,1,197,185,1.906932,"\text{Not used}","int(x^2/(x^5 + 1),x)","\frac{\ln\left(x+1\right)}{5}-\ln\left(1-\frac{x\,{\left(\sqrt{2}\,\sqrt{-\sqrt{5}-5}-\sqrt{5}+1\right)}^3}{64}\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)+\ln\left(\frac{x\,{\left(\sqrt{2}\,\sqrt{-\sqrt{5}-5}+\sqrt{5}-1\right)}^3}{64}+1\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}+\frac{\sqrt{5}}{20}-\frac{1}{20}\right)-\ln\left(1-\frac{x\,{\left(\sqrt{5}+\sqrt{2}\,\sqrt{\sqrt{5}-5}+1\right)}^3}{64}\right)\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)-\ln\left(1-\frac{x\,{\left(\sqrt{5}-\sqrt{2}\,\sqrt{\sqrt{5}-5}+1\right)}^3}{64}\right)\,\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)","Not used",1,"log(x + 1)/5 - log(1 - (x*(2^(1/2)*(- 5^(1/2) - 5)^(1/2) - 5^(1/2) + 1)^3)/64)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 - 5^(1/2)/20 + 1/20) + log((x*(2^(1/2)*(- 5^(1/2) - 5)^(1/2) + 5^(1/2) - 1)^3)/64 + 1)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 + 5^(1/2)/20 - 1/20) - log(1 - (x*(5^(1/2) + 2^(1/2)*(5^(1/2) - 5)^(1/2) + 1)^3)/64)*(5^(1/2)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) - log(1 - (x*(5^(1/2) - 2^(1/2)*(5^(1/2) - 5)^(1/2) + 1)^3)/64)*(5^(1/2)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20)","B"
1303,1,200,185,0.256350,"\text{Not used}","int(x/(x^5 + 1),x)","\ln\left(x-125\,{\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)}^3\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)-\frac{\ln\left(x+1\right)}{5}-\ln\left(x+125\,{\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}+\frac{\sqrt{5}}{20}-\frac{1}{20}\right)}^3\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}+\frac{\sqrt{5}}{20}-\frac{1}{20}\right)+\ln\left(x-125\,{\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)}^3\right)\,\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)+\ln\left(x-125\,{\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)}^3\right)\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)","Not used",1,"log(x - 125*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 - 5^(1/2)/20 + 1/20)^3)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 - 5^(1/2)/20 + 1/20) - log(x + 1)/5 - log(x + 125*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 + 5^(1/2)/20 - 1/20)^3)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 + 5^(1/2)/20 - 1/20) + log(x - 125*(5^(1/2)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20)^3)*(5^(1/2)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) + log(x - 125*(5^(1/2)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20)^3)*(5^(1/2)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20)","B"
1304,1,182,168,1.170197,"\text{Not used}","int(1/(x^5 + 1),x)","\frac{\ln\left(x+1\right)}{5}-\ln\left(x-\frac{\sqrt{5}}{4}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{4}-\frac{1}{4}\right)\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)-\ln\left(x-\frac{\sqrt{5}}{4}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{4}-\frac{1}{4}\right)\,\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)-\ln\left(x-\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{4}+\frac{\sqrt{5}}{4}-\frac{1}{4}\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)+\ln\left(x+\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{4}+\frac{\sqrt{5}}{4}-\frac{1}{4}\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}+\frac{\sqrt{5}}{20}-\frac{1}{20}\right)","Not used",1,"log(x + 1)/5 - log(x - 5^(1/2)/4 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/4 - 1/4)*(5^(1/2)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) - log(x - 5^(1/2)/4 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/4 - 1/4)*(5^(1/2)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) - log(x - (2^(1/2)*(- 5^(1/2) - 5)^(1/2))/4 + 5^(1/2)/4 - 1/4)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 - 5^(1/2)/20 + 1/20) + log(x + (2^(1/2)*(- 5^(1/2) - 5)^(1/2))/4 + 5^(1/2)/4 - 1/4)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 + 5^(1/2)/20 - 1/20)","B"
1305,1,203,190,1.251388,"\text{Not used}","int(1/(x^2*(x^5 + 1)),x)","\frac{\ln\left(x+1\right)}{5}-\ln\left(25\,x\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)-5\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)+\ln\left(25\,x\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}+\frac{\sqrt{5}}{20}-\frac{1}{20}\right)+5\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}+\frac{\sqrt{5}}{20}-\frac{1}{20}\right)-\frac{1}{x}-\ln\left(25\,x\,\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)-5\right)\,\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)-\ln\left(25\,x\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)-5\right)\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)","Not used",1,"log(x + 1)/5 - log(25*x*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 - 5^(1/2)/20 + 1/20) - 5)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 - 5^(1/2)/20 + 1/20) + log(25*x*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 + 5^(1/2)/20 - 1/20) + 5)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 + 5^(1/2)/20 - 1/20) - 1/x - log(25*x*(5^(1/2)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) - 5)*(5^(1/2)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) - log(25*x*(5^(1/2)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) - 5)*(5^(1/2)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20)","B"
1306,1,200,192,1.700146,"\text{Not used}","int(1/(x^3*(x^5 + 1)),x)","\ln\left(1-\frac{x\,{\left(\sqrt{2}\,\sqrt{-\sqrt{5}-5}-\sqrt{5}+1\right)}^3}{64}\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)-\frac{\ln\left(x+1\right)}{5}-\ln\left(\frac{x\,{\left(\sqrt{2}\,\sqrt{-\sqrt{5}-5}+\sqrt{5}-1\right)}^3}{64}+1\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}+\frac{\sqrt{5}}{20}-\frac{1}{20}\right)-\frac{1}{2\,x^2}+\ln\left(1-\frac{x\,{\left(\sqrt{5}+\sqrt{2}\,\sqrt{\sqrt{5}-5}+1\right)}^3}{64}\right)\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)+\ln\left(1-\frac{x\,{\left(\sqrt{5}-\sqrt{2}\,\sqrt{\sqrt{5}-5}+1\right)}^3}{64}\right)\,\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)","Not used",1,"log(1 - (x*(2^(1/2)*(- 5^(1/2) - 5)^(1/2) - 5^(1/2) + 1)^3)/64)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 - 5^(1/2)/20 + 1/20) - log(x + 1)/5 - log((x*(2^(1/2)*(- 5^(1/2) - 5)^(1/2) + 5^(1/2) - 1)^3)/64 + 1)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 + 5^(1/2)/20 - 1/20) - 1/(2*x^2) + log(1 - (x*(5^(1/2) + 2^(1/2)*(5^(1/2) - 5)^(1/2) + 1)^3)/64)*(5^(1/2)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) + log(1 - (x*(5^(1/2) - 2^(1/2)*(5^(1/2) - 5)^(1/2) + 1)^3)/64)*(5^(1/2)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20)","B"
1307,1,207,192,0.256477,"\text{Not used}","int(1/(x^4*(x^5 + 1)),x)","\frac{\ln\left(x+1\right)}{5}-\ln\left(x-125\,{\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)}^3\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)+\ln\left(x+125\,{\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}+\frac{\sqrt{5}}{20}-\frac{1}{20}\right)}^3\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{20}+\frac{\sqrt{5}}{20}-\frac{1}{20}\right)-\ln\left(x-125\,{\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)}^3\right)\,\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)-\ln\left(x-125\,{\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)}^3\right)\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{20}+\frac{1}{20}\right)-\frac{1}{3\,x^3}","Not used",1,"log(x + 1)/5 - log(x - 125*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 - 5^(1/2)/20 + 1/20)^3)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 - 5^(1/2)/20 + 1/20) + log(x + 125*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 + 5^(1/2)/20 - 1/20)^3)*((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/20 + 5^(1/2)/20 - 1/20) - log(x - 125*(5^(1/2)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20)^3)*(5^(1/2)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) - log(x - 125*(5^(1/2)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20)^3)*(5^(1/2)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/20 + 1/20) - 1/(3*x^3)","B"
1308,0,-1,83,0.000000,"\text{Not used}","int(x^(23/2)/(a + b*x^5)^(1/2),x)","\int \frac{x^{23/2}}{\sqrt{b\,x^5+a}} \,d x","Not used",1,"int(x^(23/2)/(a + b*x^5)^(1/2), x)","F"
1309,0,-1,57,0.000000,"\text{Not used}","int(x^(13/2)/(a + b*x^5)^(1/2),x)","\int \frac{x^{13/2}}{\sqrt{b\,x^5+a}} \,d x","Not used",1,"int(x^(13/2)/(a + b*x^5)^(1/2), x)","F"
1310,0,-1,32,0.000000,"\text{Not used}","int(x^(3/2)/(a + b*x^5)^(1/2),x)","\int \frac{x^{3/2}}{\sqrt{b\,x^5+a}} \,d x","Not used",1,"int(x^(3/2)/(a + b*x^5)^(1/2), x)","F"
1311,0,-1,23,0.000000,"\text{Not used}","int(1/(x^(7/2)*(a + b*x^5)^(1/2)),x)","\int \frac{1}{x^{7/2}\,\sqrt{b\,x^5+a}} \,d x","Not used",1,"int(1/(x^(7/2)*(a + b*x^5)^(1/2)), x)","F"
1312,0,-1,48,0.000000,"\text{Not used}","int(1/(x^(17/2)*(a + b*x^5)^(1/2)),x)","\int \frac{1}{x^{17/2}\,\sqrt{b\,x^5+a}} \,d x","Not used",1,"int(1/(x^(17/2)*(a + b*x^5)^(1/2)), x)","F"
1313,0,-1,47,0.000000,"\text{Not used}","int(x^(23/2)/(x^5 + 1)^(1/2),x)","\int \frac{x^{23/2}}{\sqrt{x^5+1}} \,d x","Not used",1,"int(x^(23/2)/(x^5 + 1)^(1/2), x)","F"
1314,0,-1,29,0.000000,"\text{Not used}","int(x^(13/2)/(x^5 + 1)^(1/2),x)","\int \frac{x^{13/2}}{\sqrt{x^5+1}} \,d x","Not used",1,"int(x^(13/2)/(x^5 + 1)^(1/2), x)","F"
1315,0,-1,10,0.000000,"\text{Not used}","int(x^(3/2)/(x^5 + 1)^(1/2),x)","\int \frac{x^{3/2}}{\sqrt{x^5+1}} \,d x","Not used",1,"int(x^(3/2)/(x^5 + 1)^(1/2), x)","F"
1316,0,-1,18,0.000000,"\text{Not used}","int(1/(x^(7/2)*(x^5 + 1)^(1/2)),x)","\int \frac{1}{x^{7/2}\,\sqrt{x^5+1}} \,d x","Not used",1,"int(1/(x^(7/2)*(x^5 + 1)^(1/2)), x)","F"
1317,0,-1,37,0.000000,"\text{Not used}","int(1/(x^(17/2)*(x^5 + 1)^(1/2)),x)","\int \frac{1}{x^{17/2}\,\sqrt{x^5+1}} \,d x","Not used",1,"int(1/(x^(17/2)*(x^5 + 1)^(1/2)), x)","F"
1318,1,28,40,1.017373,"\text{Not used}","int(x^8/(a + b*x^6),x)","\frac{x^3}{3\,b}-\frac{\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x^3}{\sqrt{a}}\right)}{3\,b^{3/2}}","Not used",1,"x^3/(3*b) - (a^(1/2)*atan((b^(1/2)*x^3)/a^(1/2)))/(3*b^(3/2))","B"
1319,1,130,133,1.245900,"\text{Not used}","int(x^7/(a + b*x^6),x)","\frac{x^2}{2\,b}+\frac{{\left(-a\right)}^{1/3}\,\ln\left({\left(-a\right)}^{10/3}+a^3\,b^{1/3}\,x^2\right)}{6\,b^{4/3}}+\frac{{\left(-a\right)}^{1/3}\,\ln\left(6\,a^3\,b\,x^2+6\,{\left(-a\right)}^{10/3}\,b^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{6\,b^{4/3}}-\frac{{\left(-a\right)}^{1/3}\,\ln\left(6\,a^3\,b\,x^2-6\,{\left(-a\right)}^{10/3}\,b^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{6\,b^{4/3}}","Not used",1,"x^2/(2*b) + ((-a)^(1/3)*log((-a)^(10/3) + a^3*b^(1/3)*x^2))/(6*b^(4/3)) + ((-a)^(1/3)*log(6*a^3*b*x^2 + 6*(-a)^(10/3)*b^(2/3)*((3^(1/2)*1i)/2 - 1/2))*((3^(1/2)*1i)/2 - 1/2))/(6*b^(4/3)) - ((-a)^(1/3)*log(6*a^3*b*x^2 - 6*(-a)^(10/3)*b^(2/3)*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/(6*b^(4/3))","B"
1320,1,227,220,1.165984,"\text{Not used}","int(x^6/(a + b*x^6),x)","\frac{x}{b}+\frac{{\left(-a\right)}^{1/6}\,\mathrm{atan}\left(\frac{b^{1/6}\,x\,1{}\mathrm{i}}{{\left(-a\right)}^{1/6}}\right)\,1{}\mathrm{i}}{3\,b^{7/6}}+\frac{{\left(-a\right)}^{1/6}\,\mathrm{atan}\left(\frac{{\left(-a\right)}^{25/6}\,x\,1{}\mathrm{i}}{b^{1/6}\,\left(\frac{{\left(-a\right)}^{13/3}}{b^{1/3}}+\frac{\sqrt{3}\,{\left(-a\right)}^{13/3}\,1{}\mathrm{i}}{b^{1/3}}\right)}+\frac{\sqrt{3}\,{\left(-a\right)}^{25/6}\,x}{b^{1/6}\,\left(\frac{{\left(-a\right)}^{13/3}}{b^{1/3}}+\frac{\sqrt{3}\,{\left(-a\right)}^{13/3}\,1{}\mathrm{i}}{b^{1/3}}\right)}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,b^{7/6}}-\frac{{\left(-a\right)}^{1/6}\,\mathrm{atan}\left(\frac{{\left(-a\right)}^{25/6}\,x\,1{}\mathrm{i}}{b^{1/6}\,\left(\frac{{\left(-a\right)}^{13/3}}{b^{1/3}}-\frac{\sqrt{3}\,{\left(-a\right)}^{13/3}\,1{}\mathrm{i}}{b^{1/3}}\right)}-\frac{\sqrt{3}\,{\left(-a\right)}^{25/6}\,x}{b^{1/6}\,\left(\frac{{\left(-a\right)}^{13/3}}{b^{1/3}}-\frac{\sqrt{3}\,{\left(-a\right)}^{13/3}\,1{}\mathrm{i}}{b^{1/3}}\right)}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,b^{7/6}}","Not used",1,"x/b + ((-a)^(1/6)*atan((b^(1/6)*x*1i)/(-a)^(1/6))*1i)/(3*b^(7/6)) + ((-a)^(1/6)*atan(((-a)^(25/6)*x*1i)/(b^(1/6)*((-a)^(13/3)/b^(1/3) + (3^(1/2)*(-a)^(13/3)*1i)/b^(1/3))) + (3^(1/2)*(-a)^(25/6)*x)/(b^(1/6)*((-a)^(13/3)/b^(1/3) + (3^(1/2)*(-a)^(13/3)*1i)/b^(1/3))))*((3^(1/2)*1i)/2 - 1/2)*1i)/(3*b^(7/6)) - ((-a)^(1/6)*atan(((-a)^(25/6)*x*1i)/(b^(1/6)*((-a)^(13/3)/b^(1/3) - (3^(1/2)*(-a)^(13/3)*1i)/b^(1/3))) - (3^(1/2)*(-a)^(25/6)*x)/(b^(1/6)*((-a)^(13/3)/b^(1/3) - (3^(1/2)*(-a)^(13/3)*1i)/b^(1/3))))*((3^(1/2)*1i)/2 + 1/2)*1i)/(3*b^(7/6))","B"
1321,1,13,15,1.028292,"\text{Not used}","int(x^5/(a + b*x^6),x)","\frac{\ln\left(b\,x^6+a\right)}{6\,b}","Not used",1,"log(a + b*x^6)/(6*b)","B"
1322,1,134,215,1.142315,"\text{Not used}","int(x^4/(a + b*x^6),x)","-\frac{\mathrm{atanh}\left(\frac{b^{1/6}\,x}{{\left(-a\right)}^{1/6}}\right)}{3\,{\left(-a\right)}^{1/6}\,b^{5/6}}-\frac{\mathrm{atanh}\left(\frac{2\,{\left(-a\right)}^{5/2}\,b^{3/2}\,x}{{\left(-a\right)}^{8/3}\,b^{4/3}-\sqrt{3}\,{\left(-a\right)}^{8/3}\,b^{4/3}\,1{}\mathrm{i}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-a\right)}^{1/6}\,b^{5/6}}+\frac{\mathrm{atanh}\left(\frac{2\,{\left(-a\right)}^{5/2}\,b^{3/2}\,x}{{\left(-a\right)}^{8/3}\,b^{4/3}+\sqrt{3}\,{\left(-a\right)}^{8/3}\,b^{4/3}\,1{}\mathrm{i}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-a\right)}^{1/6}\,b^{5/6}}","Not used",1,"(atanh((2*(-a)^(5/2)*b^(3/2)*x)/((-a)^(8/3)*b^(4/3) + 3^(1/2)*(-a)^(8/3)*b^(4/3)*1i))*(3^(1/2)*1i - 1))/(6*(-a)^(1/6)*b^(5/6)) - (atanh((2*(-a)^(5/2)*b^(3/2)*x)/((-a)^(8/3)*b^(4/3) - 3^(1/2)*(-a)^(8/3)*b^(4/3)*1i))*(3^(1/2)*1i + 1))/(6*(-a)^(1/6)*b^(5/6)) - atanh((b^(1/6)*x)/(-a)^(1/6))/(3*(-a)^(1/6)*b^(5/6))","B"
1323,1,118,123,1.311611,"\text{Not used}","int(x^3/(a + b*x^6),x)","\frac{\ln\left(a+{\left(-a\right)}^{2/3}\,b^{1/3}\,x^2\right)}{6\,{\left(-a\right)}^{1/3}\,b^{2/3}}+\frac{\ln\left(a\,b^2+\frac{{\left(-a\right)}^{2/3}\,b^{7/3}\,x^2\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{12\,{\left(-a\right)}^{1/3}\,b^{2/3}}-\frac{\ln\left(a\,b^2-\frac{{\left(-a\right)}^{2/3}\,b^{7/3}\,x^2\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{12\,{\left(-a\right)}^{1/3}\,b^{2/3}}","Not used",1,"log(a + (-a)^(2/3)*b^(1/3)*x^2)/(6*(-a)^(1/3)*b^(2/3)) + (log(a*b^2 + ((-a)^(2/3)*b^(7/3)*x^2*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(12*(-a)^(1/3)*b^(2/3)) - (log(a*b^2 - ((-a)^(2/3)*b^(7/3)*x^2*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(12*(-a)^(1/3)*b^(2/3))","B"
1324,1,19,29,0.054412,"\text{Not used}","int(x^2/(a + b*x^6),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,x^3}{\sqrt{a}}\right)}{3\,\sqrt{a}\,\sqrt{b}}","Not used",1,"atan((b^(1/2)*x^3)/a^(1/2))/(3*a^(1/2)*b^(1/2))","B"
1325,1,105,123,0.244201,"\text{Not used}","int(x/(a + b*x^6),x)","\frac{\ln\left(a^{1/3}+b^{1/3}\,x^2\right)}{6\,a^{2/3}\,b^{1/3}}+\frac{\ln\left(6\,b^4\,x^2+3\,a^{1/3}\,b^{11/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{12\,a^{2/3}\,b^{1/3}}-\frac{\ln\left(6\,b^4\,x^2-3\,a^{1/3}\,b^{11/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{12\,a^{2/3}\,b^{1/3}}","Not used",1,"log(a^(1/3) + b^(1/3)*x^2)/(6*a^(2/3)*b^(1/3)) + (log(6*b^4*x^2 + 3*a^(1/3)*b^(11/3)*(3^(1/2)*1i - 1))*(3^(1/2)*1i - 1))/(12*a^(2/3)*b^(1/3)) - (log(6*b^4*x^2 - 3*a^(1/3)*b^(11/3)*(3^(1/2)*1i + 1))*(3^(1/2)*1i + 1))/(12*a^(2/3)*b^(1/3))","B"
1326,1,219,215,1.120500,"\text{Not used}","int(1/(a + b*x^6),x)","-\frac{\mathrm{atanh}\left(\frac{b^{1/6}\,x}{{\left(-a\right)}^{1/6}}\right)}{3\,{\left(-a\right)}^{5/6}\,b^{1/6}}+\frac{\mathrm{atan}\left(\frac{b^{29/6}\,x\,1{}\mathrm{i}}{{\left(-a\right)}^{5/6}\,\left(\frac{b^{14/3}}{{\left(-a\right)}^{2/3}}+\frac{\sqrt{3}\,b^{14/3}\,1{}\mathrm{i}}{{\left(-a\right)}^{2/3}}\right)}+\frac{\sqrt{3}\,b^{29/6}\,x}{{\left(-a\right)}^{5/6}\,\left(\frac{b^{14/3}}{{\left(-a\right)}^{2/3}}+\frac{\sqrt{3}\,b^{14/3}\,1{}\mathrm{i}}{{\left(-a\right)}^{2/3}}\right)}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{6\,{\left(-a\right)}^{5/6}\,b^{1/6}}-\frac{\mathrm{atan}\left(\frac{b^{29/6}\,x\,1{}\mathrm{i}}{{\left(-a\right)}^{5/6}\,\left(\frac{b^{14/3}}{{\left(-a\right)}^{2/3}}-\frac{\sqrt{3}\,b^{14/3}\,1{}\mathrm{i}}{{\left(-a\right)}^{2/3}}\right)}-\frac{\sqrt{3}\,b^{29/6}\,x}{{\left(-a\right)}^{5/6}\,\left(\frac{b^{14/3}}{{\left(-a\right)}^{2/3}}-\frac{\sqrt{3}\,b^{14/3}\,1{}\mathrm{i}}{{\left(-a\right)}^{2/3}}\right)}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{6\,{\left(-a\right)}^{5/6}\,b^{1/6}}","Not used",1,"(atan((b^(29/6)*x*1i)/((-a)^(5/6)*(b^(14/3)/(-a)^(2/3) + (3^(1/2)*b^(14/3)*1i)/(-a)^(2/3))) + (3^(1/2)*b^(29/6)*x)/((-a)^(5/6)*(b^(14/3)/(-a)^(2/3) + (3^(1/2)*b^(14/3)*1i)/(-a)^(2/3))))*(3^(1/2)*1i - 1)*1i)/(6*(-a)^(5/6)*b^(1/6)) - atanh((b^(1/6)*x)/(-a)^(1/6))/(3*(-a)^(5/6)*b^(1/6)) - (atan((b^(29/6)*x*1i)/((-a)^(5/6)*(b^(14/3)/(-a)^(2/3) - (3^(1/2)*b^(14/3)*1i)/(-a)^(2/3))) - (3^(1/2)*b^(29/6)*x)/((-a)^(5/6)*(b^(14/3)/(-a)^(2/3) - (3^(1/2)*b^(14/3)*1i)/(-a)^(2/3))))*(3^(1/2)*1i + 1)*1i)/(6*(-a)^(5/6)*b^(1/6))","B"
1327,1,18,22,1.073460,"\text{Not used}","int(1/(x*(a + b*x^6)),x)","-\frac{\ln\left(b\,x^6+a\right)-6\,\ln\left(x\right)}{6\,a}","Not used",1,"-(log(a + b*x^6) - 6*log(x))/(6*a)","B"
1328,1,149,223,0.183604,"\text{Not used}","int(1/(x^2*(a + b*x^6)),x)","-\frac{1}{a\,x}-\frac{{\left(-b\right)}^{1/6}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/6}\,x\,1{}\mathrm{i}}{a^{1/6}}\right)\,1{}\mathrm{i}}{3\,a^{7/6}}-\frac{{\left(-b\right)}^{1/6}\,\mathrm{atan}\left(\frac{a^{13/2}\,{\left(-b\right)}^{13/2}\,x\,2{}\mathrm{i}}{a^{20/3}\,{\left(-b\right)}^{19/3}-\sqrt{3}\,a^{20/3}\,{\left(-b\right)}^{19/3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,a^{7/6}}+\frac{{\left(-b\right)}^{1/6}\,\mathrm{atan}\left(\frac{a^{13/2}\,{\left(-b\right)}^{13/2}\,x\,2{}\mathrm{i}}{a^{20/3}\,{\left(-b\right)}^{19/3}+\sqrt{3}\,a^{20/3}\,{\left(-b\right)}^{19/3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,a^{7/6}}","Not used",1,"((-b)^(1/6)*atan((a^(13/2)*(-b)^(13/2)*x*2i)/(a^(20/3)*(-b)^(19/3) + 3^(1/2)*a^(20/3)*(-b)^(19/3)*1i))*((3^(1/2)*1i)/2 - 1/2)*1i)/(3*a^(7/6)) - ((-b)^(1/6)*atan(((-b)^(1/6)*x*1i)/a^(1/6))*1i)/(3*a^(7/6)) - ((-b)^(1/6)*atan((a^(13/2)*(-b)^(13/2)*x*2i)/(a^(20/3)*(-b)^(19/3) - 3^(1/2)*a^(20/3)*(-b)^(19/3)*1i))*((3^(1/2)*1i)/2 + 1/2)*1i)/(3*a^(7/6)) - 1/(a*x)","B"
1329,1,116,133,1.172244,"\text{Not used}","int(1/(x^3*(a + b*x^6)),x)","\frac{b^{1/3}\,\ln\left(a^{1/3}+b^{1/3}\,x^2\right)}{6\,a^{4/3}}-\frac{1}{2\,a\,x^2}+\frac{b^{1/3}\,\ln\left(a^4\,b^6+a^{11/3}\,b^{19/3}\,x^2\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{6\,a^{4/3}}-\frac{b^{1/3}\,\ln\left(a^4\,b^6-a^{11/3}\,b^{19/3}\,x^2\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{6\,a^{4/3}}","Not used",1,"(b^(1/3)*log(a^(1/3) + b^(1/3)*x^2))/(6*a^(4/3)) - 1/(2*a*x^2) + (b^(1/3)*log(a^4*b^6 + a^(11/3)*b^(19/3)*x^2*((3^(1/2)*1i)/2 - 1/2))*((3^(1/2)*1i)/2 - 1/2))/(6*a^(4/3)) - (b^(1/3)*log(a^4*b^6 - a^(11/3)*b^(19/3)*x^2*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/(6*a^(4/3))","B"
1330,1,28,40,0.044779,"\text{Not used}","int(1/(x^4*(a + b*x^6)),x)","-\frac{1}{3\,a\,x^3}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x^3}{\sqrt{a}}\right)}{3\,a^{3/2}}","Not used",1,"- 1/(3*a*x^3) - (b^(1/2)*atan((b^(1/2)*x^3)/a^(1/2)))/(3*a^(3/2))","B"
1331,1,37,49,0.091123,"\text{Not used}","int(x^8/(a + b*x^6)^2,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,x^3}{\sqrt{a}}\right)}{6\,\sqrt{a}\,b^{3/2}}-\frac{x^3}{6\,b\,\left(b\,x^6+a\right)}","Not used",1,"atan((b^(1/2)*x^3)/a^(1/2))/(6*a^(1/2)*b^(3/2)) - x^3/(6*b*(a + b*x^6))","B"
1332,1,118,142,1.184509,"\text{Not used}","int(x^7/(a + b*x^6)^2,x)","\frac{\ln\left(a^{1/3}+b^{1/3}\,x^2\right)}{18\,a^{2/3}\,b^{4/3}}-\frac{x^2}{6\,b\,\left(b\,x^6+a\right)}+\frac{\ln\left(\frac{2\,b\,x^2}{9}+\frac{a^{1/3}\,b^{2/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{9}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{36\,a^{2/3}\,b^{4/3}}-\frac{\ln\left(\frac{2\,b\,x^2}{9}-\frac{a^{1/3}\,b^{2/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{9}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{36\,a^{2/3}\,b^{4/3}}","Not used",1,"log(a^(1/3) + b^(1/3)*x^2)/(18*a^(2/3)*b^(4/3)) - x^2/(6*b*(a + b*x^6)) + (log((2*b*x^2)/9 + (a^(1/3)*b^(2/3)*(3^(1/2)*1i - 1))/9)*(3^(1/2)*1i - 1))/(36*a^(2/3)*b^(4/3)) - (log((2*b*x^2)/9 - (a^(1/3)*b^(2/3)*(3^(1/2)*1i + 1))/9)*(3^(1/2)*1i + 1))/(36*a^(2/3)*b^(4/3))","B"
1333,1,242,232,1.154458,"\text{Not used}","int(x^6/(a + b*x^6)^2,x)","-\frac{x}{6\,b\,\left(b\,x^6+a\right)}+\frac{\mathrm{atan}\left(\frac{b^{1/6}\,x\,1{}\mathrm{i}}{{\left(-a\right)}^{1/6}}\right)\,1{}\mathrm{i}}{18\,{\left(-a\right)}^{5/6}\,b^{7/6}}-\frac{\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{7776\,{\left(-a\right)}^{5/6}\,b^{1/6}\,\left(\frac{1}{7776\,{\left(-a\right)}^{2/3}\,b^{1/3}}-\frac{\sqrt{3}\,1{}\mathrm{i}}{7776\,{\left(-a\right)}^{2/3}\,b^{1/3}}\right)}-\frac{\sqrt{3}\,x}{7776\,{\left(-a\right)}^{5/6}\,b^{1/6}\,\left(\frac{1}{7776\,{\left(-a\right)}^{2/3}\,b^{1/3}}-\frac{\sqrt{3}\,1{}\mathrm{i}}{7776\,{\left(-a\right)}^{2/3}\,b^{1/3}}\right)}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{36\,{\left(-a\right)}^{5/6}\,b^{7/6}}+\frac{\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{7776\,{\left(-a\right)}^{5/6}\,b^{1/6}\,\left(\frac{1}{7776\,{\left(-a\right)}^{2/3}\,b^{1/3}}+\frac{\sqrt{3}\,1{}\mathrm{i}}{7776\,{\left(-a\right)}^{2/3}\,b^{1/3}}\right)}+\frac{\sqrt{3}\,x}{7776\,{\left(-a\right)}^{5/6}\,b^{1/6}\,\left(\frac{1}{7776\,{\left(-a\right)}^{2/3}\,b^{1/3}}+\frac{\sqrt{3}\,1{}\mathrm{i}}{7776\,{\left(-a\right)}^{2/3}\,b^{1/3}}\right)}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{36\,{\left(-a\right)}^{5/6}\,b^{7/6}}","Not used",1,"(atan((b^(1/6)*x*1i)/(-a)^(1/6))*1i)/(18*(-a)^(5/6)*b^(7/6)) - x/(6*b*(a + b*x^6)) - (atan((x*1i)/(7776*(-a)^(5/6)*b^(1/6)*(1/(7776*(-a)^(2/3)*b^(1/3)) - (3^(1/2)*1i)/(7776*(-a)^(2/3)*b^(1/3)))) - (3^(1/2)*x)/(7776*(-a)^(5/6)*b^(1/6)*(1/(7776*(-a)^(2/3)*b^(1/3)) - (3^(1/2)*1i)/(7776*(-a)^(2/3)*b^(1/3)))))*(3^(1/2)*1i + 1)*1i)/(36*(-a)^(5/6)*b^(7/6)) + (atan((x*1i)/(7776*(-a)^(5/6)*b^(1/6)*(1/(7776*(-a)^(2/3)*b^(1/3)) + (3^(1/2)*1i)/(7776*(-a)^(2/3)*b^(1/3)))) + (3^(1/2)*x)/(7776*(-a)^(5/6)*b^(1/6)*(1/(7776*(-a)^(2/3)*b^(1/3)) + (3^(1/2)*1i)/(7776*(-a)^(2/3)*b^(1/3)))))*(3^(1/2)*1i - 1)*1i)/(36*(-a)^(5/6)*b^(7/6))","B"
1334,1,14,16,1.009022,"\text{Not used}","int(x^5/(a + b*x^6)^2,x)","-\frac{1}{6\,b\,\left(b\,x^6+a\right)}","Not used",1,"-1/(6*b*(a + b*x^6))","B"
1335,1,160,234,1.183010,"\text{Not used}","int(x^4/(a + b*x^6)^2,x)","\frac{x^5}{6\,a\,\left(b\,x^6+a\right)}-\frac{\mathrm{atan}\left(\frac{b^{1/6}\,x\,1{}\mathrm{i}}{{\left(-a\right)}^{1/6}}\right)\,1{}\mathrm{i}}{18\,{\left(-a\right)}^{7/6}\,b^{5/6}}-\frac{\mathrm{atan}\left(\frac{b^{3/2}\,x\,1{}\mathrm{i}}{3888\,{\left(-a\right)}^{5/2}\,\left(\frac{b^{4/3}}{7776\,{\left(-a\right)}^{7/3}}-\frac{\sqrt{3}\,b^{4/3}\,1{}\mathrm{i}}{7776\,{\left(-a\right)}^{7/3}}\right)}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{36\,{\left(-a\right)}^{7/6}\,b^{5/6}}+\frac{\mathrm{atan}\left(\frac{b^{3/2}\,x\,1{}\mathrm{i}}{3888\,{\left(-a\right)}^{5/2}\,\left(\frac{b^{4/3}}{7776\,{\left(-a\right)}^{7/3}}+\frac{\sqrt{3}\,b^{4/3}\,1{}\mathrm{i}}{7776\,{\left(-a\right)}^{7/3}}\right)}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{36\,{\left(-a\right)}^{7/6}\,b^{5/6}}","Not used",1,"x^5/(6*a*(a + b*x^6)) - (atan((b^(1/6)*x*1i)/(-a)^(1/6))*1i)/(18*(-a)^(7/6)*b^(5/6)) - (atan((b^(3/2)*x*1i)/(3888*(-a)^(5/2)*(b^(4/3)/(7776*(-a)^(7/3)) - (3^(1/2)*b^(4/3)*1i)/(7776*(-a)^(7/3)))))*(3^(1/2)*1i + 1)*1i)/(36*(-a)^(7/6)*b^(5/6)) + (atan((b^(3/2)*x*1i)/(3888*(-a)^(5/2)*(b^(4/3)/(7776*(-a)^(7/3)) + (3^(1/2)*b^(4/3)*1i)/(7776*(-a)^(7/3)))))*(3^(1/2)*1i - 1)*1i)/(36*(-a)^(7/6)*b^(5/6))","B"
1336,1,146,142,1.343736,"\text{Not used}","int(x^3/(a + b*x^6)^2,x)","\frac{x^4}{6\,a\,\left(b\,x^6+a\right)}+\frac{{\left(-1\right)}^{1/3}\,\ln\left(\frac{b^2}{81\,a^3}-\frac{{\left(-1\right)}^{1/3}\,b^{7/3}\,x^2}{81\,a^{10/3}}\right)}{18\,a^{4/3}\,b^{2/3}}-\frac{{\left(-1\right)}^{1/3}\,\ln\left({\left(-1\right)}^{2/3}\,a^{1/3}-2\,b^{1/3}\,x^2+{\left(-1\right)}^{1/6}\,\sqrt{3}\,a^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{18\,a^{4/3}\,b^{2/3}}+\frac{{\left(-1\right)}^{1/3}\,\ln\left(2\,b^{1/3}\,x^2-{\left(-1\right)}^{2/3}\,a^{1/3}+{\left(-1\right)}^{1/6}\,\sqrt{3}\,a^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{18\,a^{4/3}\,b^{2/3}}","Not used",1,"x^4/(6*a*(a + b*x^6)) + ((-1)^(1/3)*log(b^2/(81*a^3) - ((-1)^(1/3)*b^(7/3)*x^2)/(81*a^(10/3))))/(18*a^(4/3)*b^(2/3)) - ((-1)^(1/3)*log((-1)^(2/3)*a^(1/3) - 2*b^(1/3)*x^2 + (-1)^(1/6)*3^(1/2)*a^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(18*a^(4/3)*b^(2/3)) + ((-1)^(1/3)*log(2*b^(1/3)*x^2 - (-1)^(2/3)*a^(1/3) + (-1)^(1/6)*3^(1/2)*a^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(18*a^(4/3)*b^(2/3))","B"
1337,1,37,49,1.062785,"\text{Not used}","int(x^2/(a + b*x^6)^2,x)","\frac{x^3}{6\,a\,\left(b\,x^6+a\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,x^3}{\sqrt{a}}\right)}{6\,a^{3/2}\,\sqrt{b}}","Not used",1,"x^3/(6*a*(a + b*x^6)) + atan((b^(1/2)*x^3)/a^(1/2))/(6*a^(3/2)*b^(1/2))","B"
1338,1,128,142,1.191235,"\text{Not used}","int(x/(a + b*x^6)^2,x)","\frac{\ln\left(a^{1/3}+b^{1/3}\,x^2\right)}{9\,a^{5/3}\,b^{1/3}}+\frac{x^2}{6\,a\,\left(b\,x^6+a\right)}+\frac{\ln\left(\frac{16\,b^4\,x^2}{9\,a^3}+\frac{8\,b^{11/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,a^{8/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{5/3}\,b^{1/3}}-\frac{\ln\left(\frac{16\,b^4\,x^2}{9\,a^3}-\frac{8\,b^{11/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,a^{8/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{5/3}\,b^{1/3}}","Not used",1,"log(a^(1/3) + b^(1/3)*x^2)/(9*a^(5/3)*b^(1/3)) + x^2/(6*a*(a + b*x^6)) + (log((16*b^4*x^2)/(9*a^3) + (8*b^(11/3)*(3^(1/2)*1i - 1))/(9*a^(8/3)))*(3^(1/2)*1i - 1))/(18*a^(5/3)*b^(1/3)) - (log((16*b^4*x^2)/(9*a^3) - (8*b^(11/3)*(3^(1/2)*1i + 1))/(9*a^(8/3)))*(3^(1/2)*1i + 1))/(18*a^(5/3)*b^(1/3))","B"
1339,1,242,232,1.144023,"\text{Not used}","int(1/(a + b*x^6)^2,x)","\frac{x}{6\,a\,\left(b\,x^6+a\right)}-\frac{\mathrm{atan}\left(\frac{b^{1/6}\,x\,1{}\mathrm{i}}{{\left(-a\right)}^{1/6}}\right)\,5{}\mathrm{i}}{18\,{\left(-a\right)}^{11/6}\,b^{1/6}}+\frac{\mathrm{atan}\left(\frac{b^{29/6}\,x\,3125{}\mathrm{i}}{7776\,{\left(-a\right)}^{35/6}\,\left(\frac{3125\,b^{14/3}}{7776\,{\left(-a\right)}^{17/3}}-\frac{\sqrt{3}\,b^{14/3}\,3125{}\mathrm{i}}{7776\,{\left(-a\right)}^{17/3}}\right)}-\frac{3125\,\sqrt{3}\,b^{29/6}\,x}{7776\,{\left(-a\right)}^{35/6}\,\left(\frac{3125\,b^{14/3}}{7776\,{\left(-a\right)}^{17/3}}-\frac{\sqrt{3}\,b^{14/3}\,3125{}\mathrm{i}}{7776\,{\left(-a\right)}^{17/3}}\right)}\right)\,\left(5+\sqrt{3}\,5{}\mathrm{i}\right)\,1{}\mathrm{i}}{36\,{\left(-a\right)}^{11/6}\,b^{1/6}}-\frac{\mathrm{atan}\left(\frac{b^{29/6}\,x\,3125{}\mathrm{i}}{7776\,{\left(-a\right)}^{35/6}\,\left(\frac{3125\,b^{14/3}}{7776\,{\left(-a\right)}^{17/3}}+\frac{\sqrt{3}\,b^{14/3}\,3125{}\mathrm{i}}{7776\,{\left(-a\right)}^{17/3}}\right)}+\frac{3125\,\sqrt{3}\,b^{29/6}\,x}{7776\,{\left(-a\right)}^{35/6}\,\left(\frac{3125\,b^{14/3}}{7776\,{\left(-a\right)}^{17/3}}+\frac{\sqrt{3}\,b^{14/3}\,3125{}\mathrm{i}}{7776\,{\left(-a\right)}^{17/3}}\right)}\right)\,\left(-5+\sqrt{3}\,5{}\mathrm{i}\right)\,1{}\mathrm{i}}{36\,{\left(-a\right)}^{11/6}\,b^{1/6}}","Not used",1,"x/(6*a*(a + b*x^6)) - (atan((b^(1/6)*x*1i)/(-a)^(1/6))*5i)/(18*(-a)^(11/6)*b^(1/6)) + (atan((b^(29/6)*x*3125i)/(7776*(-a)^(35/6)*((3125*b^(14/3))/(7776*(-a)^(17/3)) - (3^(1/2)*b^(14/3)*3125i)/(7776*(-a)^(17/3)))) - (3125*3^(1/2)*b^(29/6)*x)/(7776*(-a)^(35/6)*((3125*b^(14/3))/(7776*(-a)^(17/3)) - (3^(1/2)*b^(14/3)*3125i)/(7776*(-a)^(17/3)))))*(3^(1/2)*5i + 5)*1i)/(36*(-a)^(11/6)*b^(1/6)) - (atan((b^(29/6)*x*3125i)/(7776*(-a)^(35/6)*((3125*b^(14/3))/(7776*(-a)^(17/3)) + (3^(1/2)*b^(14/3)*3125i)/(7776*(-a)^(17/3)))) + (3125*3^(1/2)*b^(29/6)*x)/(7776*(-a)^(35/6)*((3125*b^(14/3))/(7776*(-a)^(17/3)) + (3^(1/2)*b^(14/3)*3125i)/(7776*(-a)^(17/3)))))*(3^(1/2)*5i - 5)*1i)/(36*(-a)^(11/6)*b^(1/6))","B"
1340,1,34,38,0.066999,"\text{Not used}","int(1/(x*(a + b*x^6)^2),x)","\frac{\ln\left(x\right)}{a^2}+\frac{1}{6\,a\,\left(b\,x^6+a\right)}-\frac{\ln\left(b\,x^6+a\right)}{6\,a^2}","Not used",1,"log(x)/a^2 + 1/(6*a*(a + b*x^6)) - log(a + b*x^6)/(6*a^2)","B"
1341,1,169,244,1.178908,"\text{Not used}","int(1/(x^2*(a + b*x^6)^2),x)","-\frac{\frac{1}{a}+\frac{7\,b\,x^6}{6\,a^2}}{b\,x^7+a\,x}-\frac{{\left(-b\right)}^{1/6}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/6}\,x\,1{}\mathrm{i}}{a^{1/6}}\right)\,7{}\mathrm{i}}{18\,a^{13/6}}-\frac{{\left(-b\right)}^{1/6}\,\mathrm{atan}\left(\frac{a^{21/2}\,{\left(-b\right)}^{13/2}\,x\,43563744{}\mathrm{i}}{21781872\,a^{32/3}\,{\left(-b\right)}^{19/3}-\sqrt{3}\,a^{32/3}\,{\left(-b\right)}^{19/3}\,21781872{}\mathrm{i}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,7{}\mathrm{i}}{18\,a^{13/6}}+\frac{{\left(-b\right)}^{1/6}\,\mathrm{atan}\left(\frac{a^{21/2}\,{\left(-b\right)}^{13/2}\,x\,43563744{}\mathrm{i}}{21781872\,a^{32/3}\,{\left(-b\right)}^{19/3}+\sqrt{3}\,a^{32/3}\,{\left(-b\right)}^{19/3}\,21781872{}\mathrm{i}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,7{}\mathrm{i}}{18\,a^{13/6}}","Not used",1,"((-b)^(1/6)*atan((a^(21/2)*(-b)^(13/2)*x*43563744i)/(21781872*a^(32/3)*(-b)^(19/3) + 3^(1/2)*a^(32/3)*(-b)^(19/3)*21781872i))*((3^(1/2)*1i)/2 - 1/2)*7i)/(18*a^(13/6)) - ((-b)^(1/6)*atan(((-b)^(1/6)*x*1i)/a^(1/6))*7i)/(18*a^(13/6)) - ((-b)^(1/6)*atan((a^(21/2)*(-b)^(13/2)*x*43563744i)/(21781872*a^(32/3)*(-b)^(19/3) - 3^(1/2)*a^(32/3)*(-b)^(19/3)*21781872i))*((3^(1/2)*1i)/2 + 1/2)*7i)/(18*a^(13/6)) - (1/a + (7*b*x^6)/(6*a^2))/(a*x + b*x^7)","B"
1342,1,140,152,1.211734,"\text{Not used}","int(1/(x^3*(a + b*x^6)^2),x)","\frac{2\,b^{1/3}\,\ln\left(a^{1/3}+b^{1/3}\,x^2\right)}{9\,a^{7/3}}-\frac{\frac{1}{2\,a}+\frac{2\,b\,x^6}{3\,a^2}}{b\,x^8+a\,x^2}-\frac{2\,b^{1/3}\,\ln\left(6912\,a^7\,b^6-6912\,a^{20/3}\,b^{19/3}\,x^2\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{7/3}}+\frac{b^{1/3}\,\ln\left(6912\,a^7\,b^6+31104\,a^{20/3}\,b^{19/3}\,x^2\,\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)\right)\,\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}{a^{7/3}}","Not used",1,"(2*b^(1/3)*log(a^(1/3) + b^(1/3)*x^2))/(9*a^(7/3)) - (1/(2*a) + (2*b*x^6)/(3*a^2))/(a*x^2 + b*x^8) - (2*b^(1/3)*log(6912*a^7*b^6 - 6912*a^(20/3)*b^(19/3)*x^2*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/(9*a^(7/3)) + (b^(1/3)*log(6912*a^7*b^6 + 31104*a^(20/3)*b^(19/3)*x^2*((3^(1/2)*1i)/9 - 1/9))*((3^(1/2)*1i)/9 - 1/9))/a^(7/3)","B"
1343,1,50,59,0.087840,"\text{Not used}","int(1/(x^4*(a + b*x^6)^2),x)","-\frac{\frac{1}{3\,a}+\frac{b\,x^6}{2\,a^2}}{b\,x^9+a\,x^3}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x^3}{\sqrt{a}}\right)}{2\,a^{5/2}}","Not used",1,"- (1/(3*a) + (b*x^6)/(2*a^2))/(a*x^3 + b*x^9) - (b^(1/2)*atan((b^(1/2)*x^3)/a^(1/2)))/(2*a^(5/2))","B"
1344,1,12,16,0.059506,"\text{Not used}","int(-x^8/(x^6 - 1),x)","\frac{\mathrm{atanh}\left(x^3\right)}{3}-\frac{x^3}{3}","Not used",1,"atanh(x^3)/3 - x^3/3","B"
1345,1,57,56,1.095470,"\text{Not used}","int(-x^7/(x^6 - 1),x)","-\frac{\ln\left(x^2-1\right)}{6}-\frac{x^2}{2}-\ln\left(x^2-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}+\frac{1}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(x^2+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}+\frac{1}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log((3^(1/2)*1i)/2 + x^2 + 1/2)*((3^(1/2)*1i)/12 + 1/12) - x^2/2 - log(x^2 - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/12 - 1/12) - log(x^2 - 1)/6","B"
1346,1,93,50,1.062927,"\text{Not used}","int(-x^6/(x^6 - 1),x)","-x-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}+\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}+\frac{\sqrt{3}\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{6}+\frac{1}{6}{}\mathrm{i}\right)+\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}-\frac{\sqrt{3}\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{6}-\frac{1}{6}{}\mathrm{i}\right)","Not used",1,"atan((x*1i)/(3^(1/2)*1i + 1) + (3^(1/2)*x)/(3^(1/2)*1i + 1))*(3^(1/2)/6 + 1i/6) - (atan(x*1i)*1i)/3 - x + atan((x*1i)/(3^(1/2)*1i - 1) - (3^(1/2)*x)/(3^(1/2)*1i - 1))*(3^(1/2)/6 - 1i/6)","B"
1347,1,8,12,0.040966,"\text{Not used}","int(-x^5/(x^6 - 1),x)","-\frac{\ln\left(x^6-1\right)}{6}","Not used",1,"-log(x^6 - 1)/6","B"
1348,1,53,47,0.057302,"\text{Not used}","int(-x^4/(x^6 - 1),x)","\frac{\mathrm{atanh}\left(x\right)}{3}-\mathrm{atanh}\left(\frac{2\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\mathrm{atanh}\left(\frac{2\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"atanh(x)/3 - atanh((2*x)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/6 + 1/6) - atanh((2*x)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/6 - 1/6)","B"
1349,1,52,49,0.119673,"\text{Not used}","int(-x^3/(x^6 - 1),x)","-\frac{\ln\left(x^2-1\right)}{6}+\ln\left(x^2-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}+\frac{1}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(x^2+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}+\frac{1}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log(x^2 - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/12 + 1/12) - log(x^2 - 1)/6 - log((3^(1/2)*1i)/2 + x^2 + 1/2)*((3^(1/2)*1i)/12 - 1/12)","B"
1350,1,6,8,1.067754,"\text{Not used}","int(-x^2/(x^6 - 1),x)","\frac{\mathrm{atanh}\left(x^3\right)}{3}","Not used",1,"atanh(x^3)/3","B"
1351,1,52,49,0.061423,"\text{Not used}","int(-x/(x^6 - 1),x)","-\frac{\ln\left(x^2-1\right)}{6}-\ln\left(x^2-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}+\frac{1}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(x^2+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}+\frac{1}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log((3^(1/2)*1i)/2 + x^2 + 1/2)*((3^(1/2)*1i)/12 + 1/12) - log(x^2 - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/12 - 1/12) - log(x^2 - 1)/6","B"
1352,1,86,47,0.034244,"\text{Not used}","int(-1/(x^6 - 1),x)","\frac{\mathrm{atanh}\left(x\right)}{3}+\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}+\frac{\sqrt{3}\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{6}+\frac{1}{6}{}\mathrm{i}\right)+\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}-\frac{\sqrt{3}\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{6}-\frac{1}{6}{}\mathrm{i}\right)","Not used",1,"atanh(x)/3 + atan((x*1i)/(3^(1/2)*1i + 1) + (3^(1/2)*x)/(3^(1/2)*1i + 1))*(3^(1/2)/6 + 1i/6) + atan((x*1i)/(3^(1/2)*1i - 1) - (3^(1/2)*x)/(3^(1/2)*1i - 1))*(3^(1/2)/6 - 1i/6)","B"
1353,1,11,15,1.054214,"\text{Not used}","int(-1/(x*(x^6 - 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^6-1\right)}{6}","Not used",1,"log(x) - log(x^6 - 1)/6","B"
1354,1,64,52,0.056322,"\text{Not used}","int(-1/(x^2*(x^6 - 1)),x)","-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{6}-\frac{1}{6}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{6}+\frac{1}{6}{}\mathrm{i}\right)-\frac{1}{x}-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}","Not used",1,"- (atan(x*1i)*1i)/3 - atan((x*2i)/(3^(1/2)*1i - 1))*(3^(1/2)/6 - 1i/6) - atan((x*2i)/(3^(1/2)*1i + 1))*(3^(1/2)/6 + 1i/6) - 1/x","B"
1355,1,57,56,1.058102,"\text{Not used}","int(-1/(x^3*(x^6 - 1)),x)","-\frac{\ln\left(x^2-1\right)}{6}-\frac{1}{2\,x^2}+\ln\left(x^2-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}+\frac{1}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(x^2+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}+\frac{1}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log(x^2 - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/12 + 1/12) - 1/(2*x^2) - log(x^2 - 1)/6 - log((3^(1/2)*1i)/2 + x^2 + 1/2)*((3^(1/2)*1i)/12 - 1/12)","B"
1356,1,12,16,0.033907,"\text{Not used}","int(-1/(x^4*(x^6 - 1)),x)","\frac{\mathrm{atanh}\left(x^3\right)}{3}-\frac{1}{3\,x^3}","Not used",1,"atanh(x^3)/3 - 1/(3*x^3)","B"
1357,1,57,56,0.079056,"\text{Not used}","int(-1/(x^5*(x^6 - 1)),x)","-\frac{\ln\left(x^2-1\right)}{6}-\frac{1}{4\,x^4}-\ln\left(x^2-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}+\frac{1}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(x^2+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}+\frac{1}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log((3^(1/2)*1i)/2 + x^2 + 1/2)*((3^(1/2)*1i)/12 + 1/12) - 1/(4*x^4) - log(x^2 - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/12 - 1/12) - log(x^2 - 1)/6","B"
1358,1,95,80,1.044514,"\text{Not used}","int(-1/(x^6*(x^6 - 1)),x)","\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}+\frac{\sqrt{3}\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{6}+\frac{1}{6}{}\mathrm{i}\right)+\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}-\frac{\sqrt{3}\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{6}-\frac{1}{6}{}\mathrm{i}\right)-\frac{1}{5\,x^5}-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}","Not used",1,"atan((x*1i)/(3^(1/2)*1i + 1) + (3^(1/2)*x)/(3^(1/2)*1i + 1))*(3^(1/2)/6 + 1i/6) - (atan(x*1i)*1i)/3 + atan((x*1i)/(3^(1/2)*1i - 1) - (3^(1/2)*x)/(3^(1/2)*1i - 1))*(3^(1/2)/6 - 1i/6) - 1/(5*x^5)","B"
1359,1,16,22,1.022840,"\text{Not used}","int(-1/(x^7*(x^6 - 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^6-1\right)}{6}-\frac{1}{6\,x^6}","Not used",1,"log(x) - log(x^6 - 1)/6 - 1/(6*x^6)","B"
1360,1,69,85,0.059915,"\text{Not used}","int(-1/(x^8*(x^6 - 1)),x)","-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{6}-\frac{1}{6}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{x\,2{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{6}+\frac{1}{6}{}\mathrm{i}\right)-\frac{x^6+\frac{1}{7}}{x^7}-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}","Not used",1,"- (atan(x*1i)*1i)/3 - atan((x*2i)/(3^(1/2)*1i - 1))*(3^(1/2)/6 - 1i/6) - atan((x*2i)/(3^(1/2)*1i + 1))*(3^(1/2)/6 + 1i/6) - (x^6 + 1/7)/x^7","B"
1361,1,12,16,1.026363,"\text{Not used}","int(x^8/(x^6 + 1),x)","\frac{x^3}{3}-\frac{\mathrm{atan}\left(x^3\right)}{3}","Not used",1,"x^3/3 - atan(x^3)/3","B"
1362,1,57,56,1.076062,"\text{Not used}","int(x^7/(x^6 + 1),x)","\frac{x^2}{2}-\frac{\ln\left(x^2+1\right)}{6}+\ln\left(x^2-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(x^2+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"x^2/2 - log(x^2 + 1)/6 + log(x^2 - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) - log((3^(1/2)*1i)/2 + x^2 - 1/2)*((3^(1/2)*1i)/12 - 1/12)","B"
1363,1,88,81,0.111239,"\text{Not used}","int(x^6/(x^6 + 1),x)","x-\frac{\mathrm{atan}\left(x\right)}{3}-\mathrm{atan}\left(\frac{x}{-1+\sqrt{3}\,1{}\mathrm{i}}+\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\mathrm{atan}\left(\frac{x}{1+\sqrt{3}\,1{}\mathrm{i}}-\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"x - atan(x)/3 - atan(x/(3^(1/2)*1i - 1) + (3^(1/2)*x*1i)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/6 + 1/6) - atan(x/(3^(1/2)*1i + 1) - (3^(1/2)*x*1i)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/6 - 1/6)","B"
1364,1,8,10,0.025131,"\text{Not used}","int(x^5/(x^6 + 1),x)","\frac{\ln\left(x^6+1\right)}{6}","Not used",1,"log(x^6 + 1)/6","B"
1365,1,53,80,1.051120,"\text{Not used}","int(x^4/(x^6 + 1),x)","\frac{\mathrm{atan}\left(x\right)}{3}-\mathrm{atan}\left(\frac{2\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\mathrm{atan}\left(\frac{2\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"atan(x)/3 - atan((2*x)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/6 + 1/6) - atan((2*x)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/6 - 1/6)","B"
1366,1,52,49,0.118276,"\text{Not used}","int(x^3/(x^6 + 1),x)","-\frac{\ln\left(x^2+1\right)}{6}-\ln\left(x^2-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(x^2+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log((3^(1/2)*1i)/2 + x^2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) - log(x^2 - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) - log(x^2 + 1)/6","B"
1367,1,6,8,0.037960,"\text{Not used}","int(x^2/(x^6 + 1),x)","\frac{\mathrm{atan}\left(x^3\right)}{3}","Not used",1,"atan(x^3)/3","B"
1368,1,52,49,1.063251,"\text{Not used}","int(x/(x^6 + 1),x)","\frac{\ln\left(x^2+1\right)}{6}-\ln\left(x^2-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(x^2+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log(x^2 + 1)/6 - log(x^2 - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) + log((3^(1/2)*1i)/2 + x^2 - 1/2)*((3^(1/2)*1i)/12 - 1/12)","B"
1369,1,85,80,0.041822,"\text{Not used}","int(1/(x^6 + 1),x)","\frac{\mathrm{atan}\left(x\right)}{3}+\mathrm{atan}\left(\frac{x}{-1+\sqrt{3}\,1{}\mathrm{i}}+\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\mathrm{atan}\left(\frac{x}{1+\sqrt{3}\,1{}\mathrm{i}}-\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"atan(x)/3 + atan(x/(3^(1/2)*1i - 1) + (3^(1/2)*x*1i)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/6 + 1/6) + atan(x/(3^(1/2)*1i + 1) - (3^(1/2)*x*1i)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/6 - 1/6)","B"
1370,1,11,13,0.035342,"\text{Not used}","int(1/(x*(x^6 + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^6+1\right)}{6}","Not used",1,"log(x) - log(x^6 + 1)/6","B"
1371,1,56,85,0.060000,"\text{Not used}","int(1/(x^2*(x^6 + 1)),x)","-\frac{\mathrm{atan}\left(x\right)}{3}+\mathrm{atan}\left(\frac{2\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\mathrm{atan}\left(\frac{2\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\frac{1}{x}","Not used",1,"atan((2*x)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/6 + 1/6) - atan(x)/3 + atan((2*x)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/6 - 1/6) - 1/x","B"
1372,1,57,56,0.072466,"\text{Not used}","int(1/(x^3*(x^6 + 1)),x)","\frac{\ln\left(x^2+1\right)}{6}-\frac{1}{2\,x^2}+\ln\left(x^2-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(x^2+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log(x^2 + 1)/6 - 1/(2*x^2) + log(x^2 - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 - 1/12) - log((3^(1/2)*1i)/2 + x^2 - 1/2)*((3^(1/2)*1i)/12 + 1/12)","B"
1373,1,12,16,1.018182,"\text{Not used}","int(1/(x^4*(x^6 + 1)),x)","-\frac{\mathrm{atan}\left(x^3\right)}{3}-\frac{1}{3\,x^3}","Not used",1,"- atan(x^3)/3 - 1/(3*x^3)","B"
1374,1,57,56,1.066081,"\text{Not used}","int(1/(x^5*(x^6 + 1)),x)","-\frac{\ln\left(x^2+1\right)}{6}-\frac{1}{4\,x^4}+\ln\left(x^2-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)-\ln\left(x^2+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}-\frac{1}{2}\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"log(x^2 - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/12 + 1/12) - 1/(4*x^4) - log(x^2 + 1)/6 - log((3^(1/2)*1i)/2 + x^2 - 1/2)*((3^(1/2)*1i)/12 - 1/12)","B"
1375,1,92,87,0.050961,"\text{Not used}","int(1/(x^6*(x^6 + 1)),x)","-\frac{\mathrm{atan}\left(x\right)}{3}-\mathrm{atan}\left(\frac{x}{-1+\sqrt{3}\,1{}\mathrm{i}}+\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\mathrm{atan}\left(\frac{x}{1+\sqrt{3}\,1{}\mathrm{i}}-\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\frac{1}{5\,x^5}","Not used",1,"- atan(x)/3 - atan(x/(3^(1/2)*1i - 1) + (3^(1/2)*x*1i)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/6 + 1/6) - atan(x/(3^(1/2)*1i + 1) - (3^(1/2)*x*1i)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/6 - 1/6) - 1/(5*x^5)","B"
1376,1,18,22,0.038184,"\text{Not used}","int(1/(x^7*(x^6 + 1)),x)","\frac{\ln\left(x^6+1\right)}{6}-\ln\left(x\right)-\frac{1}{6\,x^6}","Not used",1,"log(x^6 + 1)/6 - log(x) - 1/(6*x^6)","B"
1377,1,62,90,1.047000,"\text{Not used}","int(1/(x^8*(x^6 + 1)),x)","\frac{\mathrm{atan}\left(x\right)}{3}-\mathrm{atan}\left(\frac{2\,x}{-1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\mathrm{atan}\left(\frac{2\,x}{1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\frac{x^6-\frac{1}{7}}{x^7}","Not used",1,"atan(x)/3 - atan((2*x)/(3^(1/2)*1i - 1))*((3^(1/2)*1i)/6 + 1/6) - atan((2*x)/(3^(1/2)*1i + 1))*((3^(1/2)*1i)/6 - 1/6) + (x^6 - 1/7)/x^7","B"
1378,1,164,180,1.154888,"\text{Not used}","int(-1/(3*x^6 - 2),x)","\frac{{486}^{1/6}\,\mathrm{atanh}\left(\frac{{486}^{5/6}\,x}{162}\right)}{18}-\frac{2^{1/6}\,\mathrm{atanh}\left(\frac{2^{1/6}\,3^{1/3}\,x\,1{}\mathrm{i}}{162\,\left(\frac{2^{1/3}\,3^{2/3}}{486}-\frac{2^{1/3}\,3^{1/6}\,1{}\mathrm{i}}{162}\right)}+\frac{2^{1/6}\,3^{5/6}\,x}{486\,\left(\frac{2^{1/3}\,3^{2/3}}{486}-\frac{2^{1/3}\,3^{1/6}\,1{}\mathrm{i}}{162}\right)}\right)\,\left(3^{5/6}+3^{1/3}\,3{}\mathrm{i}\right)}{36}-\frac{2^{1/6}\,\mathrm{atan}\left(\frac{2^{1/6}\,3^{1/3}\,x}{162\,\left(\frac{2^{1/3}\,3^{2/3}}{486}+\frac{2^{1/3}\,3^{1/6}\,1{}\mathrm{i}}{162}\right)}+\frac{2^{1/6}\,3^{5/6}\,x\,1{}\mathrm{i}}{486\,\left(\frac{2^{1/3}\,3^{2/3}}{486}+\frac{2^{1/3}\,3^{1/6}\,1{}\mathrm{i}}{162}\right)}\right)\,\left(-3^{5/6}+3^{1/3}\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{36}","Not used",1,"(486^(1/6)*atanh((486^(5/6)*x)/162))/18 - (2^(1/6)*atanh((2^(1/6)*3^(1/3)*x*1i)/(162*((2^(1/3)*3^(2/3))/486 - (2^(1/3)*3^(1/6)*1i)/162)) + (2^(1/6)*3^(5/6)*x)/(486*((2^(1/3)*3^(2/3))/486 - (2^(1/3)*3^(1/6)*1i)/162)))*(3^(1/3)*3i + 3^(5/6)))/36 - (2^(1/6)*atan((2^(1/6)*3^(1/3)*x)/(162*((2^(1/3)*3^(2/3))/486 + (2^(1/3)*3^(1/6)*1i)/162)) + (2^(1/6)*3^(5/6)*x*1i)/(486*((2^(1/3)*3^(2/3))/486 + (2^(1/3)*3^(1/6)*1i)/162)))*(3^(1/3)*3i - 3^(5/6))*1i)/36","B"
1379,1,186,244,1.098488,"\text{Not used}","int(-x^(1/3)/(x^6 - 1),x)","-\frac{\ln\left(43046721\,x^{2/3}-43046721\right)}{6}+\frac{\ln\left(43046721\,x^{2/3}\,{\mathrm{e}}^{\frac{\pi \,4{}\mathrm{i}}{9}}-43046721\right)\,{\mathrm{e}}^{\frac{\pi \,1{}\mathrm{i}}{9}}}{6}+\frac{\ln\left(43046721\,x^{2/3}\,{\mathrm{e}}^{\frac{\pi \,2{}\mathrm{i}}{9}}-43046721\right)\,{\mathrm{e}}^{\frac{\pi \,5{}\mathrm{i}}{9}}}{6}+\frac{\ln\left(-43046721\,x^{2/3}\,{\mathrm{e}}^{\frac{\pi \,1{}\mathrm{i}}{9}}-43046721\right)\,{\mathrm{e}}^{\frac{\pi \,7{}\mathrm{i}}{9}}}{6}-\frac{\ln\left(43046721\,x^{2/3}\,{\mathrm{e}}^{\frac{\pi \,8{}\mathrm{i}}{9}}-43046721\right)\,{\mathrm{e}}^{\frac{\pi \,2{}\mathrm{i}}{9}}}{6}-\frac{\ln\left(-43046721\,x^{2/3}\,{\mathrm{e}}^{\frac{\pi \,7{}\mathrm{i}}{9}}-43046721\right)\,{\mathrm{e}}^{\frac{\pi \,4{}\mathrm{i}}{9}}}{6}-\frac{\ln\left(-43046721\,x^{2/3}\,{\mathrm{e}}^{\frac{\pi \,5{}\mathrm{i}}{9}}-43046721\right)\,{\mathrm{e}}^{\frac{\pi \,8{}\mathrm{i}}{9}}}{6}-\ln\left(55788550416\,x^{2/3}\,{\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)}^4-43046721\right)\,\left(-\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)+\ln\left(55788550416\,x^{2/3}\,{\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)}^4-43046721\right)\,\left(\frac{1}{12}+\frac{\sqrt{3}\,1{}\mathrm{i}}{12}\right)","Not used",1,"(log(43046721*x^(2/3)*exp((pi*4i)/9) - 43046721)*exp((pi*1i)/9))/6 - log(43046721*x^(2/3) - 43046721)/6 + (log(43046721*x^(2/3)*exp((pi*2i)/9) - 43046721)*exp((pi*5i)/9))/6 + (log(- 43046721*x^(2/3)*exp((pi*1i)/9) - 43046721)*exp((pi*7i)/9))/6 - (log(43046721*x^(2/3)*exp((pi*8i)/9) - 43046721)*exp((pi*2i)/9))/6 - (log(- 43046721*x^(2/3)*exp((pi*7i)/9) - 43046721)*exp((pi*4i)/9))/6 - (log(- 43046721*x^(2/3)*exp((pi*5i)/9) - 43046721)*exp((pi*8i)/9))/6 - log(55788550416*x^(2/3)*((3^(1/2)*1i)/12 - 1/12)^4 - 43046721)*((3^(1/2)*1i)/12 - 1/12) + log(55788550416*x^(2/3)*((3^(1/2)*1i)/12 + 1/12)^4 - 43046721)*((3^(1/2)*1i)/12 + 1/12)","B"
1380,0,-1,58,0.000000,"\text{Not used}","int(x^8*(4*x^6 - 1)^(1/2),x)","\int x^8\,\sqrt{4\,x^6-1} \,d x","Not used",1,"int(x^8*(4*x^6 - 1)^(1/2), x)","F"
1381,1,13,17,1.231676,"\text{Not used}","int(x^5*(a^6 - x^6)^(1/2),x)","-\frac{{\left(a^6-x^6\right)}^{3/2}}{9}","Not used",1,"-(a^6 - x^6)^(3/2)/9","B"
1382,0,-1,35,0.000000,"\text{Not used}","int(x^2*(x^6 - 2)^(1/2),x)","\int x^2\,\sqrt{x^6-2} \,d x","Not used",1,"int(x^2*(x^6 - 2)^(1/2), x)","F"
1383,1,25,53,1.153695,"\text{Not used}","int(x^23/(x^6 + 2)^(1/2),x)","\sqrt{x^6+2}\,\left(\frac{x^{18}}{21}-\frac{4\,x^{12}}{35}+\frac{32\,x^6}{105}-\frac{128}{105}\right)","Not used",1,"(x^6 + 2)^(1/2)*((32*x^6)/105 - (4*x^12)/35 + x^18/21 - 128/105)","B"
1384,1,20,40,1.148485,"\text{Not used}","int(x^17/(x^6 + 2)^(1/2),x)","\sqrt{x^6+2}\,\left(\frac{x^{12}}{15}-\frac{8\,x^6}{45}+\frac{32}{45}\right)","Not used",1,"(x^6 + 2)^(1/2)*(x^12/15 - (8*x^6)/45 + 32/45)","B"
1385,1,14,27,1.158153,"\text{Not used}","int(x^11/(x^6 + 2)^(1/2),x)","\frac{\sqrt{x^6+2}\,\left(x^6-4\right)}{9}","Not used",1,"((x^6 + 2)^(1/2)*(x^6 - 4))/9","B"
1386,1,9,13,1.153965,"\text{Not used}","int(x^5/(x^6 + 2)^(1/2),x)","\frac{\sqrt{x^6+2}}{3}","Not used",1,"(x^6 + 2)^(1/2)/3","B"
1387,1,18,25,0.074206,"\text{Not used}","int(1/(x*(x^6 + 2)^(1/2)),x)","-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{x^6+2}}{2}\right)}{6}","Not used",1,"-(2^(1/2)*atanh((2^(1/2)*(x^6 + 2)^(1/2))/2))/6","B"
1388,1,31,42,1.259977,"\text{Not used}","int(1/(x^7*(x^6 + 2)^(1/2)),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{x^6+2}}{2}\right)}{24}-\frac{\sqrt{x^6+2}}{12\,x^6}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(x^6 + 2)^(1/2))/2))/24 - (x^6 + 2)^(1/2)/(12*x^6)","B"
1389,1,57,58,1.277580,"\text{Not used}","int(1/(x^13*(x^6 + 2)^(1/2)),x)","\frac{\frac{5\,\sqrt{x^6+2}}{48}-\frac{{\left(x^6+2\right)}^{3/2}}{32}}{4\,x^6-{\left(x^6+2\right)}^2+4}-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{x^6+2}}{2}\right)}{64}","Not used",1,"((5*(x^6 + 2)^(1/2))/48 - (x^6 + 2)^(3/2)/32)/(4*x^6 - (x^6 + 2)^2 + 4) - (2^(1/2)*atanh((2^(1/2)*(x^6 + 2)^(1/2))/2))/64","B"
1390,0,-1,47,0.000000,"\text{Not used}","int(x^14/(x^6 + 2)^(1/2),x)","\int \frac{x^{14}}{\sqrt{x^6+2}} \,d x","Not used",1,"int(x^14/(x^6 + 2)^(1/2), x)","F"
1391,0,-1,31,0.000000,"\text{Not used}","int(x^8/(x^6 + 2)^(1/2),x)","\int \frac{x^8}{\sqrt{x^6+2}} \,d x","Not used",1,"int(x^8/(x^6 + 2)^(1/2), x)","F"
1392,0,-1,14,0.000000,"\text{Not used}","int(x^2/(x^6 + 2)^(1/2),x)","\int \frac{x^2}{\sqrt{x^6+2}} \,d x","Not used",1,"int(x^2/(x^6 + 2)^(1/2), x)","F"
1393,1,12,16,1.123827,"\text{Not used}","int(1/(x^4*(x^6 + 2)^(1/2)),x)","-\frac{\sqrt{x^6+2}}{6\,x^3}","Not used",1,"-(x^6 + 2)^(1/2)/(6*x^3)","B"
1394,1,17,33,1.167868,"\text{Not used}","int(1/(x^10*(x^6 + 2)^(1/2)),x)","\frac{\left(x^6-1\right)\,\sqrt{x^6+2}}{18\,x^9}","Not used",1,"((x^6 - 1)*(x^6 + 2)^(1/2))/(18*x^9)","B"
1395,1,24,49,1.238150,"\text{Not used}","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}}","Not used",1,"-((x^6 + 2)^(1/2)*(2*x^12 - 2*x^6 + 3))/(90*x^15)","B"
1396,0,-1,186,0.000000,"\text{Not used}","int(x^7/(x^6 + 2)^(1/2),x)","\int \frac{x^7}{\sqrt{x^6+2}} \,d x","Not used",1,"int(x^7/(x^6 + 2)^(1/2), x)","F"
1397,0,-1,166,0.000000,"\text{Not used}","int(x/(x^6 + 2)^(1/2),x)","\int \frac{x}{\sqrt{x^6+2}} \,d x","Not used",1,"int(x/(x^6 + 2)^(1/2), x)","F"
1398,0,-1,186,0.000000,"\text{Not used}","int(1/(x^5*(x^6 + 2)^(1/2)),x)","\int \frac{1}{x^5\,\sqrt{x^6+2}} \,d x","Not used",1,"int(1/(x^5*(x^6 + 2)^(1/2)), x)","F"
1399,0,-1,179,0.000000,"\text{Not used}","int(x^6/(x^6 + 2)^(1/2),x)","\int \frac{x^6}{\sqrt{x^6+2}} \,d x","Not used",1,"int(x^6/(x^6 + 2)^(1/2), x)","F"
1400,1,16,164,0.081102,"\text{Not used}","int(1/(x^6 + 2)^(1/2),x)","\frac{\sqrt{2}\,x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{6},\frac{1}{2};\ \frac{7}{6};\ -\frac{x^6}{2}\right)}{2}","Not used",1,"(2^(1/2)*x*hypergeom([1/6, 1/2], 7/6, -x^6/2))/2","B"
1401,0,-1,181,0.000000,"\text{Not used}","int(1/(x^6*(x^6 + 2)^(1/2)),x)","\int \frac{1}{x^6\,\sqrt{x^6+2}} \,d x","Not used",1,"int(1/(x^6*(x^6 + 2)^(1/2)), x)","F"
1402,0,-1,378,0.000000,"\text{Not used}","int(x^9/(x^6 + 2)^(1/2),x)","\int \frac{x^9}{\sqrt{x^6+2}} \,d x","Not used",1,"int(x^9/(x^6 + 2)^(1/2), x)","F"
1403,0,-1,354,0.000000,"\text{Not used}","int(x^3/(x^6 + 2)^(1/2),x)","\int \frac{x^3}{\sqrt{x^6+2}} \,d x","Not used",1,"int(x^3/(x^6 + 2)^(1/2), x)","F"
1404,0,-1,378,0.000000,"\text{Not used}","int(1/(x^3*(x^6 + 2)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{x^6+2}} \,d x","Not used",1,"int(1/(x^3*(x^6 + 2)^(1/2)), x)","F"
1405,0,-1,394,0.000000,"\text{Not used}","int(x^10/(x^6 + 2)^(1/2),x)","\int \frac{x^{10}}{\sqrt{x^6+2}} \,d x","Not used",1,"int(x^10/(x^6 + 2)^(1/2), x)","F"
1406,0,-1,376,0.000000,"\text{Not used}","int(x^4/(x^6 + 2)^(1/2),x)","\int \frac{x^4}{\sqrt{x^6+2}} \,d x","Not used",1,"int(x^4/(x^6 + 2)^(1/2), x)","F"
1407,1,31,392,1.208321,"\text{Not used}","int(1/(x^2*(x^6 + 2)^(1/2)),x)","-\frac{\sqrt{\frac{2}{x^6}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{2}{3};\ \frac{5}{3};\ -\frac{2}{x^6}\right)}{4\,x\,\sqrt{x^6+2}}","Not used",1,"-((2/x^6 + 1)^(1/2)*hypergeom([1/2, 2/3], 5/3, -2/x^6))/(4*x*(x^6 + 2)^(1/2))","B"
1408,1,32,51,1.215679,"\text{Not used}","int(x^23/(x^6 + 2)^(3/2),x)","\frac{{\left(x^6+2\right)}^3-10\,{\left(x^6+2\right)}^2+60\,x^6+160}{15\,\sqrt{x^6+2}}","Not used",1,"((x^6 + 2)^3 - 10*(x^6 + 2)^2 + 60*x^6 + 160)/(15*(x^6 + 2)^(1/2))","B"
1409,1,25,40,1.181928,"\text{Not used}","int(x^17/(x^6 + 2)^(3/2),x)","-\frac{12\,x^6-{\left(x^6+2\right)}^2+36}{9\,\sqrt{x^6+2}}","Not used",1,"-(12*x^6 - (x^6 + 2)^2 + 36)/(9*(x^6 + 2)^(1/2))","B"
1410,1,14,27,1.154749,"\text{Not used}","int(x^11/(x^6 + 2)^(3/2),x)","\frac{x^6+4}{3\,\sqrt{x^6+2}}","Not used",1,"(x^6 + 4)/(3*(x^6 + 2)^(1/2))","B"
1411,1,9,13,1.148584,"\text{Not used}","int(x^5/(x^6 + 2)^(3/2),x)","-\frac{1}{3\,\sqrt{x^6+2}}","Not used",1,"-1/(3*(x^6 + 2)^(1/2))","B"
1412,1,28,39,1.217733,"\text{Not used}","int(1/(x*(x^6 + 2)^(3/2)),x)","\frac{1}{6\,\sqrt{x^6+2}}-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{x^6+2}}{2}\right)}{12}","Not used",1,"1/(6*(x^6 + 2)^(1/2)) - (2^(1/2)*atanh((2^(1/2)*(x^6 + 2)^(1/2))/2))/12","B"
1413,1,40,55,1.301046,"\text{Not used}","int(1/(x^7*(x^6 + 2)^(3/2)),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{x^6+2}}{2}\right)}{16}-\frac{1}{8\,\sqrt{x^6+2}}-\frac{1}{12\,x^6\,\sqrt{x^6+2}}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(x^6 + 2)^(1/2))/2))/16 - 1/(8*(x^6 + 2)^(1/2)) - 1/(12*x^6*(x^6 + 2)^(1/2))","B"
1414,1,65,71,1.527316,"\text{Not used}","int(1/(x^13*(x^6 + 2)^(3/2)),x)","-\frac{\frac{25\,x^6}{96}-\frac{5\,{\left(x^6+2\right)}^2}{64}+\frac{17}{48}}{4\,\sqrt{x^6+2}-4\,{\left(x^6+2\right)}^{3/2}+{\left(x^6+2\right)}^{5/2}}-\frac{5\,\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{x^6+2}}{2}\right)}{128}","Not used",1,"- ((25*x^6)/96 - (5*(x^6 + 2)^2)/64 + 17/48)/(4*(x^6 + 2)^(1/2) - 4*(x^6 + 2)^(3/2) + (x^6 + 2)^(5/2)) - (5*2^(1/2)*atanh((2^(1/2)*(x^6 + 2)^(1/2))/2))/128","B"
1415,0,-1,45,0.000000,"\text{Not used}","int(x^14/(x^6 + 2)^(3/2),x)","\int \frac{x^{14}}{{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(x^14/(x^6 + 2)^(3/2), x)","F"
1416,0,-1,31,0.000000,"\text{Not used}","int(x^8/(x^6 + 2)^(3/2),x)","\int \frac{x^8}{{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(x^8/(x^6 + 2)^(3/2), x)","F"
1417,1,12,16,1.138682,"\text{Not used}","int(x^2/(x^6 + 2)^(3/2),x)","\frac{x^3}{6\,\sqrt{x^6+2}}","Not used",1,"x^3/(6*(x^6 + 2)^(1/2))","B"
1418,1,17,33,1.147083,"\text{Not used}","int(1/(x^4*(x^6 + 2)^(3/2)),x)","-\frac{x^6+1}{6\,x^3\,\sqrt{x^6+2}}","Not used",1,"-(x^6 + 1)/(6*x^3*(x^6 + 2)^(1/2))","B"
1419,1,28,49,1.240695,"\text{Not used}","int(1/(x^10*(x^6 + 2)^(3/2)),x)","-\frac{24\,x^6-8\,{\left(x^6+2\right)}^2+36}{72\,x^9\,\sqrt{x^6+2}}","Not used",1,"-(24*x^6 - 8*(x^6 + 2)^2 + 36)/(72*x^9*(x^6 + 2)^(1/2))","B"
1420,0,-1,202,0.000000,"\text{Not used}","int(x^13/(x^6 + 2)^(3/2),x)","\int \frac{x^{13}}{{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(x^13/(x^6 + 2)^(3/2), x)","F"
1421,0,-1,186,0.000000,"\text{Not used}","int(x^7/(x^6 + 2)^(3/2),x)","\int \frac{x^7}{{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(x^7/(x^6 + 2)^(3/2), x)","F"
1422,0,-1,186,0.000000,"\text{Not used}","int(x/(x^6 + 2)^(3/2),x)","\int \frac{x}{{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(x/(x^6 + 2)^(3/2), x)","F"
1423,0,-1,202,0.000000,"\text{Not used}","int(1/(x^5*(x^6 + 2)^(3/2)),x)","\int \frac{1}{x^5\,{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^5*(x^6 + 2)^(3/2)), x)","F"
1424,0,-1,195,0.000000,"\text{Not used}","int(x^12/(x^6 + 2)^(3/2),x)","\int \frac{x^{12}}{{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(x^12/(x^6 + 2)^(3/2), x)","F"
1425,0,-1,179,0.000000,"\text{Not used}","int(x^6/(x^6 + 2)^(3/2),x)","\int \frac{x^6}{{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(x^6/(x^6 + 2)^(3/2), x)","F"
1426,1,16,179,0.082150,"\text{Not used}","int(1/(x^6 + 2)^(3/2),x)","\frac{\sqrt{2}\,x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{6},\frac{3}{2};\ \frac{7}{6};\ -\frac{x^6}{2}\right)}{4}","Not used",1,"(2^(1/2)*x*hypergeom([1/6, 3/2], 7/6, -x^6/2))/4","B"
1427,0,-1,197,0.000000,"\text{Not used}","int(1/(x^6*(x^6 + 2)^(3/2)),x)","\int \frac{1}{x^6\,{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^6*(x^6 + 2)^(3/2)), x)","F"
1428,0,-1,394,0.000000,"\text{Not used}","int(x^15/(x^6 + 2)^(3/2),x)","\int \frac{x^{15}}{{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(x^15/(x^6 + 2)^(3/2), x)","F"
1429,0,-1,376,0.000000,"\text{Not used}","int(x^9/(x^6 + 2)^(3/2),x)","\int \frac{x^9}{{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(x^9/(x^6 + 2)^(3/2), x)","F"
1430,0,-1,378,0.000000,"\text{Not used}","int(x^3/(x^6 + 2)^(3/2),x)","\int \frac{x^3}{{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(x^3/(x^6 + 2)^(3/2), x)","F"
1431,0,-1,394,0.000000,"\text{Not used}","int(1/(x^3*(x^6 + 2)^(3/2)),x)","\int \frac{1}{x^3\,{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(x^6 + 2)^(3/2)), x)","F"
1432,0,-1,392,0.000000,"\text{Not used}","int(x^10/(x^6 + 2)^(3/2),x)","\int \frac{x^{10}}{{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(x^10/(x^6 + 2)^(3/2), x)","F"
1433,0,-1,391,0.000000,"\text{Not used}","int(x^4/(x^6 + 2)^(3/2),x)","\int \frac{x^4}{{\left(x^6+2\right)}^{3/2}} \,d x","Not used",1,"int(x^4/(x^6 + 2)^(3/2), x)","F"
1434,1,31,408,1.261291,"\text{Not used}","int(1/(x^2*(x^6 + 2)^(3/2)),x)","-\frac{{\left(\frac{2}{x^6}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{2},\frac{5}{3};\ \frac{8}{3};\ -\frac{2}{x^6}\right)}{10\,x\,{\left(x^6+2\right)}^{3/2}}","Not used",1,"-((2/x^6 + 1)^(3/2)*hypergeom([3/2, 5/3], 8/3, -2/x^6))/(10*x*(x^6 + 2)^(3/2))","B"
1435,1,34,25,1.322385,"\text{Not used}","int(x^m*(a + b*x^7),x)","\frac{x^{m+1}\,\left(8\,a+a\,m+b\,x^7+b\,m\,x^7\right)}{m^2+9\,m+8}","Not used",1,"(x^(m + 1)*(8*a + a*m + b*x^7 + b*m*x^7))/(9*m + m^2 + 8)","B"
1436,1,13,17,0.021297,"\text{Not used}","int(x^8*(a + b*x^7),x)","\frac{b\,x^{16}}{16}+\frac{a\,x^9}{9}","Not used",1,"(a*x^9)/9 + (b*x^16)/16","B"
1437,1,11,13,1.028686,"\text{Not used}","int((a + b*x^7)/x^8,x)","b\,\ln\left(x\right)-\frac{a}{7\,x^7}","Not used",1,"b*log(x) - a/(7*x^7)","B"
1438,1,93,43,1.374440,"\text{Not used}","int(x^m*(a + b*x^7)^2,x)","x^m\,\left(\frac{a^2\,x\,\left(m^2+23\,m+120\right)}{m^3+24\,m^2+143\,m+120}+\frac{b^2\,x^{15}\,\left(m^2+9\,m+8\right)}{m^3+24\,m^2+143\,m+120}+\frac{2\,a\,b\,x^8\,\left(m^2+16\,m+15\right)}{m^3+24\,m^2+143\,m+120}\right)","Not used",1,"x^m*((a^2*x*(23*m + m^2 + 120))/(143*m + 24*m^2 + m^3 + 120) + (b^2*x^15*(9*m + m^2 + 8))/(143*m + 24*m^2 + m^3 + 120) + (2*a*b*x^8*(16*m + m^2 + 15))/(143*m + 24*m^2 + m^3 + 120))","B"
1439,1,24,30,0.036118,"\text{Not used}","int(x^8*(a + b*x^7)^2,x)","\frac{a^2\,x^9}{9}+\frac{a\,b\,x^{16}}{8}+\frac{b^2\,x^{23}}{23}","Not used",1,"(a^2*x^9)/9 + (b^2*x^23)/23 + (a*b*x^16)/8","B"
1440,1,23,27,1.021634,"\text{Not used}","int((a + b*x^7)^2/x^8,x)","\frac{b^2\,x^7}{7}-\frac{a^2}{7\,x^7}+2\,a\,b\,\ln\left(x\right)","Not used",1,"(b^2*x^7)/7 - a^2/(7*x^7) + 2*a*b*log(x)","B"
1441,0,-1,39,0.000000,"\text{Not used}","int(x^m/(a + b*x^7),x)","\int \frac{x^m}{b\,x^7+a} \,d x","Not used",1,"int(x^m/(a + b*x^7), x)","F"
1442,1,13,15,0.038748,"\text{Not used}","int(x^6/(a + b*x^7),x)","\frac{\ln\left(b\,x^7+a\right)}{7\,b}","Not used",1,"log(a + b*x^7)/(7*b)","B"
1443,1,196,335,1.845281,"\text{Not used}","int(1/(a + b*x^7),x)","\frac{\ln\left(b^{1/7}\,x+a^{1/7}\right)}{7\,a^{6/7}\,b^{1/7}}-\frac{{\mathrm{e}}^{\frac{\pi \,1{}\mathrm{i}}{7}}\,\ln\left(b^{1/7}\,x-a^{1/7}\,{\mathrm{e}}^{\frac{\pi \,1{}\mathrm{i}}{7}}\right)}{7\,a^{6/7}\,b^{1/7}}+\frac{{\mathrm{e}}^{\frac{\pi \,2{}\mathrm{i}}{7}}\,\ln\left(a^{1/7}\,{\mathrm{e}}^{\frac{\pi \,2{}\mathrm{i}}{7}}+b^{1/7}\,x\right)}{7\,a^{6/7}\,b^{1/7}}-\frac{{\mathrm{e}}^{\frac{\pi \,3{}\mathrm{i}}{7}}\,\ln\left(b^{1/7}\,x-a^{1/7}\,{\mathrm{e}}^{\frac{\pi \,3{}\mathrm{i}}{7}}\right)}{7\,a^{6/7}\,b^{1/7}}+\frac{{\mathrm{e}}^{\frac{\pi \,4{}\mathrm{i}}{7}}\,\ln\left(a^{1/7}\,{\mathrm{e}}^{\frac{\pi \,4{}\mathrm{i}}{7}}+b^{1/7}\,x\right)}{7\,a^{6/7}\,b^{1/7}}-\frac{{\mathrm{e}}^{\frac{\pi \,5{}\mathrm{i}}{7}}\,\ln\left(b^{1/7}\,x-a^{1/7}\,{\mathrm{e}}^{\frac{\pi \,5{}\mathrm{i}}{7}}\right)}{7\,a^{6/7}\,b^{1/7}}+\frac{{\mathrm{e}}^{\frac{\pi \,6{}\mathrm{i}}{7}}\,\ln\left(a^{1/7}\,{\mathrm{e}}^{\frac{\pi \,6{}\mathrm{i}}{7}}+b^{1/7}\,x\right)}{7\,a^{6/7}\,b^{1/7}}","Not used",1,"log(b^(1/7)*x + a^(1/7))/(7*a^(6/7)*b^(1/7)) - (exp((pi*1i)/7)*log(b^(1/7)*x - a^(1/7)*exp((pi*1i)/7)))/(7*a^(6/7)*b^(1/7)) + (exp((pi*2i)/7)*log(a^(1/7)*exp((pi*2i)/7) + b^(1/7)*x))/(7*a^(6/7)*b^(1/7)) - (exp((pi*3i)/7)*log(b^(1/7)*x - a^(1/7)*exp((pi*3i)/7)))/(7*a^(6/7)*b^(1/7)) + (exp((pi*4i)/7)*log(a^(1/7)*exp((pi*4i)/7) + b^(1/7)*x))/(7*a^(6/7)*b^(1/7)) - (exp((pi*5i)/7)*log(b^(1/7)*x - a^(1/7)*exp((pi*5i)/7)))/(7*a^(6/7)*b^(1/7)) + (exp((pi*6i)/7)*log(a^(1/7)*exp((pi*6i)/7) + b^(1/7)*x))/(7*a^(6/7)*b^(1/7))","B"
1444,1,18,22,0.090736,"\text{Not used}","int(1/(x*(a + b*x^7)),x)","-\frac{\ln\left(b\,x^7+a\right)-7\,\ln\left(x\right)}{7\,a}","Not used",1,"-(log(a + b*x^7) - 7*log(x))/(7*a)","B"
1445,0,-1,38,0.000000,"\text{Not used}","int(x^m/(a - b*x^7),x)","\int \frac{x^m}{a-b\,x^7} \,d x","Not used",1,"int(x^m/(a - b*x^7), x)","F"
1446,1,15,16,0.046245,"\text{Not used}","int(x^6/(a - b*x^7),x)","-\frac{\ln\left(b\,x^7-a\right)}{7\,b}","Not used",1,"-log(b*x^7 - a)/(7*b)","B"
1447,1,246,335,1.893958,"\text{Not used}","int(1/(a - b*x^7),x)","\frac{\ln\left(a^{1/7}\,{\left(-b\right)}^{41/7}+b^6\,x\right)}{7\,a^{6/7}\,{\left(-b\right)}^{1/7}}-\frac{{\mathrm{e}}^{\frac{\pi \,1{}\mathrm{i}}{7}}\,\ln\left(b^6\,x-a^{1/7}\,{\left(-b\right)}^{41/7}\,{\mathrm{e}}^{\frac{\pi \,1{}\mathrm{i}}{7}}\right)}{7\,a^{6/7}\,{\left(-b\right)}^{1/7}}+\frac{{\mathrm{e}}^{\frac{\pi \,2{}\mathrm{i}}{7}}\,\ln\left(b^6\,x+a^{1/7}\,{\left(-b\right)}^{41/7}\,{\mathrm{e}}^{\frac{\pi \,2{}\mathrm{i}}{7}}\right)}{7\,a^{6/7}\,{\left(-b\right)}^{1/7}}-\frac{{\mathrm{e}}^{\frac{\pi \,3{}\mathrm{i}}{7}}\,\ln\left(b^6\,x-a^{1/7}\,{\left(-b\right)}^{41/7}\,{\mathrm{e}}^{\frac{\pi \,3{}\mathrm{i}}{7}}\right)}{7\,a^{6/7}\,{\left(-b\right)}^{1/7}}+\frac{{\mathrm{e}}^{\frac{\pi \,4{}\mathrm{i}}{7}}\,\ln\left(b^6\,x+a^{1/7}\,{\left(-b\right)}^{41/7}\,{\mathrm{e}}^{\frac{\pi \,4{}\mathrm{i}}{7}}\right)}{7\,a^{6/7}\,{\left(-b\right)}^{1/7}}-\frac{{\mathrm{e}}^{\frac{\pi \,5{}\mathrm{i}}{7}}\,\ln\left(b^6\,x-a^{1/7}\,{\left(-b\right)}^{41/7}\,{\mathrm{e}}^{\frac{\pi \,5{}\mathrm{i}}{7}}\right)}{7\,a^{6/7}\,{\left(-b\right)}^{1/7}}+\frac{{\mathrm{e}}^{\frac{\pi \,6{}\mathrm{i}}{7}}\,\ln\left(b^6\,x+a^{1/7}\,{\left(-b\right)}^{41/7}\,{\mathrm{e}}^{\frac{\pi \,6{}\mathrm{i}}{7}}\right)}{7\,a^{6/7}\,{\left(-b\right)}^{1/7}}","Not used",1,"log(a^(1/7)*(-b)^(41/7) + b^6*x)/(7*a^(6/7)*(-b)^(1/7)) - (exp((pi*1i)/7)*log(b^6*x - a^(1/7)*(-b)^(41/7)*exp((pi*1i)/7)))/(7*a^(6/7)*(-b)^(1/7)) + (exp((pi*2i)/7)*log(b^6*x + a^(1/7)*(-b)^(41/7)*exp((pi*2i)/7)))/(7*a^(6/7)*(-b)^(1/7)) - (exp((pi*3i)/7)*log(b^6*x - a^(1/7)*(-b)^(41/7)*exp((pi*3i)/7)))/(7*a^(6/7)*(-b)^(1/7)) + (exp((pi*4i)/7)*log(b^6*x + a^(1/7)*(-b)^(41/7)*exp((pi*4i)/7)))/(7*a^(6/7)*(-b)^(1/7)) - (exp((pi*5i)/7)*log(b^6*x - a^(1/7)*(-b)^(41/7)*exp((pi*5i)/7)))/(7*a^(6/7)*(-b)^(1/7)) + (exp((pi*6i)/7)*log(b^6*x + a^(1/7)*(-b)^(41/7)*exp((pi*6i)/7)))/(7*a^(6/7)*(-b)^(1/7))","B"
1448,1,21,23,0.097392,"\text{Not used}","int(1/(x*(a - b*x^7)),x)","\frac{\ln\left(x\right)}{a}-\frac{\ln\left(a-b\,x^7\right)}{7\,a}","Not used",1,"log(x)/a - log(a - b*x^7)/(7*a)","B"
1449,1,103,166,1.374989,"\text{Not used}","int(-1/(x^7 - 1),x)","-\frac{\ln\left(x-1\right)}{7}-\frac{{\mathrm{e}}^{\frac{\pi \,2{}\mathrm{i}}{7}}\,\ln\left(x-{\mathrm{e}}^{\frac{\pi \,2{}\mathrm{i}}{7}}\right)}{7}-\frac{{\mathrm{e}}^{\frac{\pi \,4{}\mathrm{i}}{7}}\,\ln\left(x-{\mathrm{e}}^{\frac{\pi \,4{}\mathrm{i}}{7}}\right)}{7}-\frac{{\mathrm{e}}^{\frac{\pi \,6{}\mathrm{i}}{7}}\,\ln\left(x-{\mathrm{e}}^{\frac{\pi \,6{}\mathrm{i}}{7}}\right)}{7}+\frac{\ln\left(x+{\mathrm{e}}^{\frac{\pi \,1{}\mathrm{i}}{7}}\right)\,{\mathrm{e}}^{\frac{\pi \,1{}\mathrm{i}}{7}}}{7}+\frac{\ln\left(x+{\mathrm{e}}^{\frac{\pi \,3{}\mathrm{i}}{7}}\right)\,{\mathrm{e}}^{\frac{\pi \,3{}\mathrm{i}}{7}}}{7}+\frac{\ln\left(x+{\mathrm{e}}^{\frac{\pi \,5{}\mathrm{i}}{7}}\right)\,{\mathrm{e}}^{\frac{\pi \,5{}\mathrm{i}}{7}}}{7}","Not used",1,"(log(x + exp((pi*1i)/7))*exp((pi*1i)/7))/7 - (exp((pi*2i)/7)*log(x - exp((pi*2i)/7)))/7 - (exp((pi*4i)/7)*log(x - exp((pi*4i)/7)))/7 - (exp((pi*6i)/7)*log(x - exp((pi*6i)/7)))/7 - log(x - 1)/7 + (log(x + exp((pi*3i)/7))*exp((pi*3i)/7))/7 + (log(x + exp((pi*5i)/7))*exp((pi*5i)/7))/7","B"
1450,1,103,165,1.343219,"\text{Not used}","int(1/(x^7 + 1),x)","\frac{\ln\left(x+1\right)}{7}-\frac{{\mathrm{e}}^{\frac{\pi \,1{}\mathrm{i}}{7}}\,\ln\left(x-{\mathrm{e}}^{\frac{\pi \,1{}\mathrm{i}}{7}}\right)}{7}-\frac{{\mathrm{e}}^{\frac{\pi \,3{}\mathrm{i}}{7}}\,\ln\left(x-{\mathrm{e}}^{\frac{\pi \,3{}\mathrm{i}}{7}}\right)}{7}-\frac{{\mathrm{e}}^{\frac{\pi \,5{}\mathrm{i}}{7}}\,\ln\left(x-{\mathrm{e}}^{\frac{\pi \,5{}\mathrm{i}}{7}}\right)}{7}+\frac{\ln\left(x+{\mathrm{e}}^{\frac{\pi \,2{}\mathrm{i}}{7}}\right)\,{\mathrm{e}}^{\frac{\pi \,2{}\mathrm{i}}{7}}}{7}+\frac{\ln\left(x+{\mathrm{e}}^{\frac{\pi \,4{}\mathrm{i}}{7}}\right)\,{\mathrm{e}}^{\frac{\pi \,4{}\mathrm{i}}{7}}}{7}+\frac{\ln\left(x+{\mathrm{e}}^{\frac{\pi \,6{}\mathrm{i}}{7}}\right)\,{\mathrm{e}}^{\frac{\pi \,6{}\mathrm{i}}{7}}}{7}","Not used",1,"log(x + 1)/7 - (exp((pi*1i)/7)*log(x - exp((pi*1i)/7)))/7 - (exp((pi*3i)/7)*log(x - exp((pi*3i)/7)))/7 - (exp((pi*5i)/7)*log(x - exp((pi*5i)/7)))/7 + (log(x + exp((pi*2i)/7))*exp((pi*2i)/7))/7 + (log(x + exp((pi*4i)/7))*exp((pi*4i)/7))/7 + (log(x + exp((pi*6i)/7))*exp((pi*6i)/7))/7","B"
1451,1,55,203,1.140738,"\text{Not used}","int(x^9/(a + b*x^8),x)","\frac{x^2}{2\,b}-\frac{{\left(-a\right)}^{1/4}\,\mathrm{atan}\left(\frac{b^{1/4}\,x^2}{{\left(-a\right)}^{1/4}}\right)}{4\,b^{5/4}}-\frac{{\left(-a\right)}^{1/4}\,\mathrm{atanh}\left(\frac{b^{1/4}\,x^2}{{\left(-a\right)}^{1/4}}\right)}{4\,b^{5/4}}","Not used",1,"x^2/(2*b) - ((-a)^(1/4)*atan((b^(1/4)*x^2)/(-a)^(1/4)))/(4*b^(5/4)) - ((-a)^(1/4)*atanh((b^(1/4)*x^2)/(-a)^(1/4)))/(4*b^(5/4))","B"
1452,1,13,15,0.036203,"\text{Not used}","int(x^7/(a + b*x^8),x)","\frac{\ln\left(b\,x^8+a\right)}{8\,b}","Not used",1,"log(a + b*x^8)/(8*b)","B"
1453,1,39,193,1.105455,"\text{Not used}","int(x^5/(a + b*x^8),x)","\frac{\mathrm{atan}\left(\frac{b^{1/4}\,x^2}{{\left(-a\right)}^{1/4}}\right)-\mathrm{atanh}\left(\frac{b^{1/4}\,x^2}{{\left(-a\right)}^{1/4}}\right)}{4\,{\left(-a\right)}^{1/4}\,b^{3/4}}","Not used",1,"(atan((b^(1/4)*x^2)/(-a)^(1/4)) - atanh((b^(1/4)*x^2)/(-a)^(1/4)))/(4*(-a)^(1/4)*b^(3/4))","B"
1454,1,19,29,0.057221,"\text{Not used}","int(x^3/(a + b*x^8),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b}\,x^4}{\sqrt{a}}\right)}{4\,\sqrt{a}\,\sqrt{b}}","Not used",1,"atan((b^(1/2)*x^4)/a^(1/2))/(4*a^(1/2)*b^(1/2))","B"
1455,1,37,193,1.103817,"\text{Not used}","int(x/(a + b*x^8),x)","-\frac{\mathrm{atan}\left(\frac{b^{1/4}\,x^2}{{\left(-a\right)}^{1/4}}\right)+\mathrm{atanh}\left(\frac{b^{1/4}\,x^2}{{\left(-a\right)}^{1/4}}\right)}{4\,{\left(-a\right)}^{3/4}\,b^{1/4}}","Not used",1,"-(atan((b^(1/4)*x^2)/(-a)^(1/4)) + atanh((b^(1/4)*x^2)/(-a)^(1/4)))/(4*(-a)^(3/4)*b^(1/4))","B"
1456,1,18,22,1.104498,"\text{Not used}","int(1/(x*(a + b*x^8)),x)","-\frac{\ln\left(b\,x^8+a\right)-8\,\ln\left(x\right)}{8\,a}","Not used",1,"-(log(a + b*x^8) - 8*log(x))/(8*a)","B"
1457,1,55,203,1.114285,"\text{Not used}","int(1/(x^3*(a + b*x^8)),x)","\frac{{\left(-b\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-b\right)}^{1/4}\,x^2}{a^{1/4}}\right)}{4\,a^{5/4}}-\frac{{\left(-b\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/4}\,x^2}{a^{1/4}}\right)}{4\,a^{5/4}}-\frac{1}{2\,a\,x^2}","Not used",1,"((-b)^(1/4)*atanh(((-b)^(1/4)*x^2)/a^(1/4)))/(4*a^(5/4)) - ((-b)^(1/4)*atan(((-b)^(1/4)*x^2)/a^(1/4)))/(4*a^(5/4)) - 1/(2*a*x^2)","B"
1458,1,28,40,0.053343,"\text{Not used}","int(1/(x^5*(a + b*x^8)),x)","-\frac{1}{4\,a\,x^4}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,x^4}{\sqrt{a}}\right)}{4\,a^{3/2}}","Not used",1,"- 1/(4*a*x^4) - (b^(1/2)*atan((b^(1/2)*x^4)/a^(1/2)))/(4*a^(3/2))","B"
1459,1,55,203,1.127453,"\text{Not used}","int(1/(x^7*(a + b*x^8)),x)","\frac{{\left(-b\right)}^{3/4}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/4}\,x^2}{a^{1/4}}\right)}{4\,a^{7/4}}-\frac{1}{6\,a\,x^6}+\frac{{\left(-b\right)}^{3/4}\,\mathrm{atanh}\left(\frac{{\left(-b\right)}^{1/4}\,x^2}{a^{1/4}}\right)}{4\,a^{7/4}}","Not used",1,"((-b)^(3/4)*atan(((-b)^(1/4)*x^2)/a^(1/4)))/(4*a^(7/4)) - 1/(6*a*x^6) + ((-b)^(3/4)*atanh(((-b)^(1/4)*x^2)/a^(1/4)))/(4*a^(7/4))","B"
1460,1,31,35,0.084143,"\text{Not used}","int(1/(x^9*(a + b*x^8)),x)","\frac{b\,\ln\left(b\,x^8+a\right)}{8\,a^2}-\frac{1}{8\,a\,x^8}-\frac{b\,\ln\left(x\right)}{a^2}","Not used",1,"(b*log(a + b*x^8))/(8*a^2) - 1/(8*a*x^8) - (b*log(x))/a^2","B"
1461,1,115,272,0.147785,"\text{Not used}","int(x^8/(a + b*x^8),x)","\frac{x}{b}-\frac{{\left(-a\right)}^{1/8}\,\mathrm{atan}\left(\frac{b^{1/8}\,x}{{\left(-a\right)}^{1/8}}\right)}{4\,b^{9/8}}+\frac{{\left(-a\right)}^{1/8}\,\mathrm{atan}\left(\frac{b^{1/8}\,x\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,1{}\mathrm{i}}{4\,b^{9/8}}+\frac{\sqrt{2}\,{\left(-a\right)}^{1/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,b^{1/8}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)}{b^{9/8}}+\frac{\sqrt{2}\,{\left(-a\right)}^{1/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,b^{1/8}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)}{b^{9/8}}","Not used",1,"x/b - ((-a)^(1/8)*atan((b^(1/8)*x)/(-a)^(1/8)))/(4*b^(9/8)) + ((-a)^(1/8)*atan((b^(1/8)*x*1i)/(-a)^(1/8))*1i)/(4*b^(9/8)) - (2^(1/2)*(-a)^(1/8)*atan((2^(1/2)*b^(1/8)*x*(1/2 - 1i/2))/(-a)^(1/8))*(1/8 + 1i/8))/b^(9/8) - (2^(1/2)*(-a)^(1/8)*atan((2^(1/2)*b^(1/8)*x*(1/2 + 1i/2))/(-a)^(1/8))*(1/8 - 1i/8))/b^(9/8)","B"
1462,1,110,267,1.174314,"\text{Not used}","int(x^6/(a + b*x^8),x)","\frac{\mathrm{atan}\left(\frac{b^{1/8}\,x}{{\left(-a\right)}^{1/8}}\right)}{4\,{\left(-a\right)}^{1/8}\,b^{7/8}}+\frac{\mathrm{atan}\left(\frac{b^{1/8}\,x\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,1{}\mathrm{i}}{4\,{\left(-a\right)}^{1/8}\,b^{7/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,b^{1/8}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}\,b^{7/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,b^{1/8}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}\,b^{7/8}}","Not used",1,"atan((b^(1/8)*x)/(-a)^(1/8))/(4*(-a)^(1/8)*b^(7/8)) + (atan((b^(1/8)*x*1i)/(-a)^(1/8))*1i)/(4*(-a)^(1/8)*b^(7/8)) + (2^(1/2)*atan((2^(1/2)*b^(1/8)*x*(1/2 - 1i/2))/(-a)^(1/8))*(1/8 - 1i/8))/((-a)^(1/8)*b^(7/8)) + (2^(1/2)*atan((2^(1/2)*b^(1/8)*x*(1/2 + 1i/2))/(-a)^(1/8))*(1/8 + 1i/8))/((-a)^(1/8)*b^(7/8))","B"
1463,1,110,267,1.174199,"\text{Not used}","int(x^4/(a + b*x^8),x)","-\frac{\mathrm{atan}\left(\frac{b^{1/8}\,x}{{\left(-a\right)}^{1/8}}\right)}{4\,{\left(-a\right)}^{3/8}\,b^{5/8}}+\frac{\mathrm{atan}\left(\frac{b^{1/8}\,x\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,1{}\mathrm{i}}{4\,{\left(-a\right)}^{3/8}\,b^{5/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,b^{1/8}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)}{{\left(-a\right)}^{3/8}\,b^{5/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,b^{1/8}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)}{{\left(-a\right)}^{3/8}\,b^{5/8}}","Not used",1,"(atan((b^(1/8)*x*1i)/(-a)^(1/8))*1i)/(4*(-a)^(3/8)*b^(5/8)) - atan((b^(1/8)*x)/(-a)^(1/8))/(4*(-a)^(3/8)*b^(5/8)) + (2^(1/2)*atan((2^(1/2)*b^(1/8)*x*(1/2 - 1i/2))/(-a)^(1/8))*(1/8 + 1i/8))/((-a)^(3/8)*b^(5/8)) + (2^(1/2)*atan((2^(1/2)*b^(1/8)*x*(1/2 + 1i/2))/(-a)^(1/8))*(1/8 - 1i/8))/((-a)^(3/8)*b^(5/8))","B"
1464,1,110,267,1.172139,"\text{Not used}","int(x^2/(a + b*x^8),x)","\frac{\mathrm{atan}\left(\frac{b^{1/8}\,x}{{\left(-a\right)}^{1/8}}\right)}{4\,{\left(-a\right)}^{5/8}\,b^{3/8}}+\frac{\mathrm{atan}\left(\frac{b^{1/8}\,x\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,1{}\mathrm{i}}{4\,{\left(-a\right)}^{5/8}\,b^{3/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,b^{1/8}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)}{{\left(-a\right)}^{5/8}\,b^{3/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,b^{1/8}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)}{{\left(-a\right)}^{5/8}\,b^{3/8}}","Not used",1,"atan((b^(1/8)*x)/(-a)^(1/8))/(4*(-a)^(5/8)*b^(3/8)) + (atan((b^(1/8)*x*1i)/(-a)^(1/8))*1i)/(4*(-a)^(5/8)*b^(3/8)) - (2^(1/2)*atan((2^(1/2)*b^(1/8)*x*(1/2 - 1i/2))/(-a)^(1/8))*(1/8 - 1i/8))/((-a)^(5/8)*b^(3/8)) - (2^(1/2)*atan((2^(1/2)*b^(1/8)*x*(1/2 + 1i/2))/(-a)^(1/8))*(1/8 + 1i/8))/((-a)^(5/8)*b^(3/8))","B"
1465,1,110,267,0.151910,"\text{Not used}","int(1/(a + b*x^8),x)","-\frac{\mathrm{atan}\left(\frac{b^{1/8}\,x}{{\left(-a\right)}^{1/8}}\right)}{4\,{\left(-a\right)}^{7/8}\,b^{1/8}}+\frac{\mathrm{atan}\left(\frac{b^{1/8}\,x\,1{}\mathrm{i}}{{\left(-a\right)}^{1/8}}\right)\,1{}\mathrm{i}}{4\,{\left(-a\right)}^{7/8}\,b^{1/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,b^{1/8}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)}{{\left(-a\right)}^{7/8}\,b^{1/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,b^{1/8}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-a\right)}^{1/8}}\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)}{{\left(-a\right)}^{7/8}\,b^{1/8}}","Not used",1,"(atan((b^(1/8)*x*1i)/(-a)^(1/8))*1i)/(4*(-a)^(7/8)*b^(1/8)) - atan((b^(1/8)*x)/(-a)^(1/8))/(4*(-a)^(7/8)*b^(1/8)) - (2^(1/2)*atan((2^(1/2)*b^(1/8)*x*(1/2 - 1i/2))/(-a)^(1/8))*(1/8 + 1i/8))/((-a)^(7/8)*b^(1/8)) - (2^(1/2)*atan((2^(1/2)*b^(1/8)*x*(1/2 + 1i/2))/(-a)^(1/8))*(1/8 - 1i/8))/((-a)^(7/8)*b^(1/8))","B"
1466,1,118,275,0.147314,"\text{Not used}","int(1/(x^2*(a + b*x^8)),x)","-\frac{1}{a\,x}-\frac{{\left(-b\right)}^{1/8}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/8}\,x}{a^{1/8}}\right)}{4\,a^{9/8}}-\frac{{\left(-b\right)}^{1/8}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/8}\,x\,1{}\mathrm{i}}{a^{1/8}}\right)\,1{}\mathrm{i}}{4\,a^{9/8}}+\frac{\sqrt{2}\,{\left(-b\right)}^{1/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-b\right)}^{1/8}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)}{a^{9/8}}+\frac{\sqrt{2}\,{\left(-b\right)}^{1/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-b\right)}^{1/8}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)}{a^{9/8}}","Not used",1,"- 1/(a*x) - ((-b)^(1/8)*atan(((-b)^(1/8)*x)/a^(1/8)))/(4*a^(9/8)) - ((-b)^(1/8)*atan(((-b)^(1/8)*x*1i)/a^(1/8))*1i)/(4*a^(9/8)) - (2^(1/2)*(-b)^(1/8)*atan((2^(1/2)*(-b)^(1/8)*x*(1/2 - 1i/2))/a^(1/8))*(1/8 - 1i/8))/a^(9/8) - (2^(1/2)*(-b)^(1/8)*atan((2^(1/2)*(-b)^(1/8)*x*(1/2 + 1i/2))/a^(1/8))*(1/8 + 1i/8))/a^(9/8)","B"
1467,1,118,277,1.154912,"\text{Not used}","int(1/(x^4*(a + b*x^8)),x)","\frac{{\left(-b\right)}^{3/8}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/8}\,x}{a^{1/8}}\right)}{4\,a^{11/8}}-\frac{1}{3\,a\,x^3}-\frac{{\left(-b\right)}^{3/8}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/8}\,x\,1{}\mathrm{i}}{a^{1/8}}\right)\,1{}\mathrm{i}}{4\,a^{11/8}}+\frac{\sqrt{2}\,{\left(-b\right)}^{3/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-b\right)}^{1/8}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)}{a^{11/8}}+\frac{\sqrt{2}\,{\left(-b\right)}^{3/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-b\right)}^{1/8}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)}{a^{11/8}}","Not used",1,"((-b)^(3/8)*atan(((-b)^(1/8)*x)/a^(1/8)))/(4*a^(11/8)) - 1/(3*a*x^3) - ((-b)^(3/8)*atan(((-b)^(1/8)*x*1i)/a^(1/8))*1i)/(4*a^(11/8)) - (2^(1/2)*(-b)^(3/8)*atan((2^(1/2)*(-b)^(1/8)*x*(1/2 - 1i/2))/a^(1/8))*(1/8 + 1i/8))/a^(11/8) - (2^(1/2)*(-b)^(3/8)*atan((2^(1/2)*(-b)^(1/8)*x*(1/2 + 1i/2))/a^(1/8))*(1/8 - 1i/8))/a^(11/8)","B"
1468,1,118,277,0.146442,"\text{Not used}","int(1/(x^6*(a + b*x^8)),x)","-\frac{1}{5\,a\,x^5}-\frac{{\left(-b\right)}^{5/8}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/8}\,x}{a^{1/8}}\right)}{4\,a^{13/8}}-\frac{{\left(-b\right)}^{5/8}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/8}\,x\,1{}\mathrm{i}}{a^{1/8}}\right)\,1{}\mathrm{i}}{4\,a^{13/8}}+\frac{\sqrt{2}\,{\left(-b\right)}^{5/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-b\right)}^{1/8}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)}{a^{13/8}}+\frac{\sqrt{2}\,{\left(-b\right)}^{5/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-b\right)}^{1/8}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)}{a^{13/8}}","Not used",1,"(2^(1/2)*(-b)^(5/8)*atan((2^(1/2)*(-b)^(1/8)*x*(1/2 - 1i/2))/a^(1/8))*(1/8 - 1i/8))/a^(13/8) - ((-b)^(5/8)*atan(((-b)^(1/8)*x)/a^(1/8)))/(4*a^(13/8)) - ((-b)^(5/8)*atan(((-b)^(1/8)*x*1i)/a^(1/8))*1i)/(4*a^(13/8)) - 1/(5*a*x^5) + (2^(1/2)*(-b)^(5/8)*atan((2^(1/2)*(-b)^(1/8)*x*(1/2 + 1i/2))/a^(1/8))*(1/8 + 1i/8))/a^(13/8)","B"
1469,1,118,277,1.141441,"\text{Not used}","int(1/(x^8*(a + b*x^8)),x)","\frac{{\left(-b\right)}^{7/8}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/8}\,x}{a^{1/8}}\right)}{4\,a^{15/8}}-\frac{1}{7\,a\,x^7}-\frac{{\left(-b\right)}^{7/8}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{1/8}\,x\,1{}\mathrm{i}}{a^{1/8}}\right)\,1{}\mathrm{i}}{4\,a^{15/8}}+\frac{\sqrt{2}\,{\left(-b\right)}^{7/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-b\right)}^{1/8}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)}{a^{15/8}}+\frac{\sqrt{2}\,{\left(-b\right)}^{7/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,{\left(-b\right)}^{1/8}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)}{a^{15/8}}","Not used",1,"((-b)^(7/8)*atan(((-b)^(1/8)*x)/a^(1/8)))/(4*a^(15/8)) - 1/(7*a*x^7) - ((-b)^(7/8)*atan(((-b)^(1/8)*x*1i)/a^(1/8))*1i)/(4*a^(15/8)) + (2^(1/2)*(-b)^(7/8)*atan((2^(1/2)*(-b)^(1/8)*x*(1/2 - 1i/2))/a^(1/8))*(1/8 + 1i/8))/a^(15/8) + (2^(1/2)*(-b)^(7/8)*atan((2^(1/2)*(-b)^(1/8)*x*(1/2 + 1i/2))/a^(1/8))*(1/8 - 1i/8))/a^(15/8)","B"
1470,1,94,239,0.137940,"\text{Not used}","int(1/(a - b*x^8),x)","\frac{\mathrm{atan}\left(\frac{b^{1/8}\,x}{a^{1/8}}\right)}{4\,a^{7/8}\,b^{1/8}}-\frac{\mathrm{atan}\left(\frac{b^{1/8}\,x\,1{}\mathrm{i}}{a^{1/8}}\right)\,1{}\mathrm{i}}{4\,a^{7/8}\,b^{1/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,b^{1/8}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)}{a^{7/8}\,b^{1/8}}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,b^{1/8}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{a^{1/8}}\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)}{a^{7/8}\,b^{1/8}}","Not used",1,"atan((b^(1/8)*x)/a^(1/8))/(4*a^(7/8)*b^(1/8)) - (atan((b^(1/8)*x*1i)/a^(1/8))*1i)/(4*a^(7/8)*b^(1/8)) + (2^(1/2)*atan((2^(1/2)*b^(1/8)*x*(1/2 - 1i/2))/a^(1/8))*(1/8 + 1i/8))/(a^(7/8)*b^(1/8)) + (2^(1/2)*atan((2^(1/2)*b^(1/8)*x*(1/2 + 1i/2))/a^(1/8))*(1/8 - 1i/8))/(a^(7/8)*b^(1/8))","B"
1471,1,18,24,0.058354,"\text{Not used}","int(-x^9/(x^8 - 1),x)","\frac{\mathrm{atan}\left(x^2\right)}{4}+\frac{\mathrm{atanh}\left(x^2\right)}{4}-\frac{x^2}{2}","Not used",1,"atan(x^2)/4 + atanh(x^2)/4 - x^2/2","B"
1472,1,8,12,0.037045,"\text{Not used}","int(-x^7/(x^8 - 1),x)","-\frac{\ln\left(x^8-1\right)}{8}","Not used",1,"-log(x^8 - 1)/8","B"
1473,1,13,17,1.040672,"\text{Not used}","int(-x^5/(x^8 - 1),x)","\frac{\mathrm{atanh}\left(x^2\right)}{4}-\frac{\mathrm{atan}\left(x^2\right)}{4}","Not used",1,"atanh(x^2)/4 - atan(x^2)/4","B"
1474,1,6,8,0.067913,"\text{Not used}","int(-x^3/(x^8 - 1),x)","\frac{\mathrm{atanh}\left(x^4\right)}{4}","Not used",1,"atanh(x^4)/4","B"
1475,1,13,17,0.026276,"\text{Not used}","int(-x/(x^8 - 1),x)","\frac{\mathrm{atan}\left(x^2\right)}{4}+\frac{\mathrm{atanh}\left(x^2\right)}{4}","Not used",1,"atan(x^2)/4 + atanh(x^2)/4","B"
1476,1,11,15,1.068822,"\text{Not used}","int(-1/(x*(x^8 - 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^8-1\right)}{8}","Not used",1,"log(x) - log(x^8 - 1)/8","B"
1477,1,18,24,1.045270,"\text{Not used}","int(-1/(x^3*(x^8 - 1)),x)","\frac{\mathrm{atanh}\left(x^2\right)}{4}-\frac{\mathrm{atan}\left(x^2\right)}{4}-\frac{1}{2\,x^2}","Not used",1,"atanh(x^2)/4 - atan(x^2)/4 - 1/(2*x^2)","B"
1478,1,12,16,1.049632,"\text{Not used}","int(-1/(x^5*(x^8 - 1)),x)","\frac{\mathrm{atanh}\left(x^4\right)}{4}-\frac{1}{4\,x^4}","Not used",1,"atanh(x^4)/4 - 1/(4*x^4)","B"
1479,1,18,24,0.048850,"\text{Not used}","int(-1/(x^7*(x^8 - 1)),x)","\frac{\mathrm{atan}\left(x^2\right)}{4}+\frac{\mathrm{atanh}\left(x^2\right)}{4}-\frac{1}{6\,x^6}","Not used",1,"atan(x^2)/4 + atanh(x^2)/4 - 1/(6*x^6)","B"
1480,1,16,22,0.035077,"\text{Not used}","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}","Not used",1,"log(x) - log(x^8 - 1)/8 - 1/(8*x^8)","B"
1481,1,48,100,0.073527,"\text{Not used}","int(-x^8/(x^8 - 1),x)","\frac{\mathrm{atan}\left(x\right)}{4}-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}-x+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"atan(x)/4 - (atan(x*1i)*1i)/4 - x + 2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(1/8 + 1i/8) + 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(1/8 - 1i/8)","B"
1482,1,45,97,0.062233,"\text{Not used}","int(-x^6/(x^8 - 1),x)","-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}-\frac{\mathrm{atan}\left(x\right)}{4}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"- (atan(x*1i)*1i)/4 - atan(x)/4 - 2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(1/8 - 1i/8) - 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(1/8 + 1i/8)","B"
1483,1,45,97,0.061921,"\text{Not used}","int(-x^4/(x^8 - 1),x)","\frac{\mathrm{atan}\left(x\right)}{4}-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"atan(x)/4 - (atan(x*1i)*1i)/4 - 2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(1/8 + 1i/8) - 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(1/8 - 1i/8)","B"
1484,1,45,97,1.056346,"\text{Not used}","int(-x^2/(x^8 - 1),x)","-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}-\frac{\mathrm{atan}\left(x\right)}{4}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(1/8 - 1i/8) - atan(x)/4 - (atan(x*1i)*1i)/4 + 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(1/8 + 1i/8)","B"
1485,1,45,97,0.040897,"\text{Not used}","int(-1/(x^8 - 1),x)","\frac{\mathrm{atan}\left(x\right)}{4}-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"atan(x)/4 - (atan(x*1i)*1i)/4 + 2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(1/8 + 1i/8) + 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(1/8 - 1i/8)","B"
1486,1,50,102,1.035552,"\text{Not used}","int(-1/(x^2*(x^8 - 1)),x)","-\frac{\mathrm{atan}\left(x\right)}{4}-\frac{1}{x}-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"- (atan(x*1i)*1i)/4 - atan(x)/4 - 2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(1/8 - 1i/8) - 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(1/8 + 1i/8) - 1/x","B"
1487,1,50,104,1.043833,"\text{Not used}","int(-1/(x^4*(x^8 - 1)),x)","\frac{\mathrm{atan}\left(x\right)}{4}-\frac{1}{3\,x^3}-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"atan(x)/4 - (atan(x*1i)*1i)/4 - 2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(1/8 + 1i/8) - 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(1/8 - 1i/8) - 1/(3*x^3)","B"
1488,1,50,104,0.042834,"\text{Not used}","int(-1/(x^6*(x^8 - 1)),x)","-\frac{\mathrm{atan}\left(x\right)}{4}-\frac{1}{5\,x^5}-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(1/8 - 1i/8) - atan(x)/4 - (atan(x*1i)*1i)/4 + 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(1/8 + 1i/8) - 1/(5*x^5)","B"
1489,1,50,104,1.022564,"\text{Not used}","int(-1/(x^8*(x^8 - 1)),x)","\frac{\mathrm{atan}\left(x\right)}{4}-\frac{1}{7\,x^7}-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"atan(x)/4 - (atan(x*1i)*1i)/4 + 2^(1/2)*atan(2^(1/2)*x*(1/2 - 1i/2))*(1/8 + 1i/8) + 2^(1/2)*atan(2^(1/2)*x*(1/2 + 1i/2))*(1/8 - 1i/8) - 1/(7*x^7)","B"
1490,1,42,100,0.065378,"\text{Not used}","int(x^9/(x^8 + 1),x)","\frac{x^2}{2}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x^2\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x^2\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"x^2/2 - 2^(1/2)*atan(2^(1/2)*x^2*(1/2 + 1i/2))*(1/8 - 1i/8) - 2^(1/2)*atan(2^(1/2)*x^2*(1/2 - 1i/2))*(1/8 + 1i/8)","B"
1491,1,8,10,1.013572,"\text{Not used}","int(x^7/(x^8 + 1),x)","\frac{\ln\left(x^8+1\right)}{8}","Not used",1,"log(x^8 + 1)/8","B"
1492,1,37,93,0.051784,"\text{Not used}","int(x^5/(x^8 + 1),x)","\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x^2\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x^2\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^2*(1/2 - 1i/2))*(1/8 - 1i/8) + 2^(1/2)*atan(2^(1/2)*x^2*(1/2 + 1i/2))*(1/8 + 1i/8)","B"
1493,1,6,8,1.035913,"\text{Not used}","int(x^3/(x^8 + 1),x)","\frac{\mathrm{atan}\left(x^4\right)}{4}","Not used",1,"atan(x^4)/4","B"
1494,1,37,93,0.038209,"\text{Not used}","int(x/(x^8 + 1),x)","\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x^2\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x^2\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^2*(1/2 - 1i/2))*(1/8 + 1i/8) + 2^(1/2)*atan(2^(1/2)*x^2*(1/2 + 1i/2))*(1/8 - 1i/8)","B"
1495,1,11,13,0.035004,"\text{Not used}","int(1/(x*(x^8 + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^8+1\right)}{8}","Not used",1,"log(x) - log(x^8 + 1)/8","B"
1496,1,42,100,1.054678,"\text{Not used}","int(1/(x^3*(x^8 + 1)),x)","-\frac{1}{2\,x^2}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x^2\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x^2\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"- 2^(1/2)*atan(2^(1/2)*x^2*(1/2 - 1i/2))*(1/8 - 1i/8) - 2^(1/2)*atan(2^(1/2)*x^2*(1/2 + 1i/2))*(1/8 + 1i/8) - 1/(2*x^2)","B"
1497,1,12,16,0.024897,"\text{Not used}","int(1/(x^5*(x^8 + 1)),x)","-\frac{\mathrm{atan}\left(x^4\right)}{4}-\frac{1}{4\,x^4}","Not used",1,"- atan(x^4)/4 - 1/(4*x^4)","B"
1498,1,42,100,1.054860,"\text{Not used}","int(1/(x^7*(x^8 + 1)),x)","-\frac{1}{6\,x^6}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x^2\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x^2\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)","Not used",1,"- 2^(1/2)*atan(2^(1/2)*x^2*(1/2 - 1i/2))*(1/8 + 1i/8) - 2^(1/2)*atan(2^(1/2)*x^2*(1/2 + 1i/2))*(1/8 - 1i/8) - 1/(6*x^6)","B"
1499,1,18,22,0.040399,"\text{Not used}","int(1/(x^9*(x^8 + 1)),x)","\frac{\ln\left(x^8+1\right)}{8}-\ln\left(x\right)-\frac{1}{8\,x^8}","Not used",1,"log(x^8 + 1)/8 - log(x) - 1/(8*x^8)","B"
1500,1,289,340,1.251115,"\text{Not used}","int(x^8/(x^8 + 1),x)","x-\mathrm{atan}\left(\frac{x\,\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}\,\sqrt{-\sqrt{2}-2}+\sqrt{2}}-\frac{x\,\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}\,\sqrt{-\sqrt{2}-2}+\sqrt{2}}\right)\,\left(\frac{\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{8}-\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)+\mathrm{atan}\left(\frac{x\,\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{\sqrt{2}+\sqrt{\sqrt{2}-2}\,\sqrt{\sqrt{2}+2}}+\frac{x\,\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{\sqrt{2}+\sqrt{\sqrt{2}-2}\,\sqrt{\sqrt{2}+2}}\right)\,\left(\frac{\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{8}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{8}\right)-\mathrm{atan}\left(-\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}}{2}+x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{2}\,1{}\mathrm{i}}{16}-\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}+\mathrm{atan}\left(x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\sqrt{2}}{16}-\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}","Not used",1,"x - atan((x*(- 2^(1/2) - 2)^(1/2)*1i)/((2 - 2^(1/2))^(1/2)*(- 2^(1/2) - 2)^(1/2) + 2^(1/2)) - (x*(2 - 2^(1/2))^(1/2)*1i)/((2 - 2^(1/2))^(1/2)*(- 2^(1/2) - 2)^(1/2) + 2^(1/2)))*(((- 2^(1/2) - 2)^(1/2)*1i)/8 - ((2 - 2^(1/2))^(1/2)*1i)/8) + atan((x*(2^(1/2) - 2)^(1/2)*1i)/(2^(1/2) + (2^(1/2) - 2)^(1/2)*(2^(1/2) + 2)^(1/2)) + (x*(2^(1/2) + 2)^(1/2)*1i)/(2^(1/2) + (2^(1/2) - 2)^(1/2)*(2^(1/2) + 2)^(1/2)))*(((2^(1/2) - 2)^(1/2)*1i)/8 + ((2^(1/2) + 2)^(1/2)*1i)/8) - atan(x*(2^(1/2) + 2)^(1/2)*(1/2 + 1i/2) - (2^(1/2)*x*(2^(1/2) + 2)^(1/2))/2)*((2^(1/2)*1i)/16 - (1/16 + 1i/16))*(2^(1/2) + 2)^(1/2)*2i + atan(x*(2^(1/2) + 2)^(1/2)*(1/2 - 1i/2) + (2^(1/2)*x*(2^(1/2) + 2)^(1/2)*1i)/2)*(2^(1/2)/16 - (1/16 - 1i/16))*(2^(1/2) + 2)^(1/2)*2i","B"
1501,1,256,339,1.083348,"\text{Not used}","int(x^6/(x^8 + 1),x)","\mathrm{atan}\left(-\frac{x\,1{}\mathrm{i}}{\sqrt{\sqrt{2}-2}}+\frac{x\,1{}\mathrm{i}}{\sqrt{\sqrt{2}+2}}+\frac{\sqrt{2}\,x\,1{}\mathrm{i}}{2\,\sqrt{\sqrt{2}-2}}+\frac{\sqrt{2}\,x\,1{}\mathrm{i}}{2\,\sqrt{\sqrt{2}+2}}\right)\,\left(\frac{\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{8}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{8}\right)-\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{\sqrt{-\sqrt{2}-2}}+\frac{x\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}}+\frac{\sqrt{2}\,x\,1{}\mathrm{i}}{2\,\sqrt{-\sqrt{2}-2}}-\frac{\sqrt{2}\,x\,1{}\mathrm{i}}{2\,\sqrt{2-\sqrt{2}}}\right)\,\left(\frac{\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{8}-\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)+\mathrm{atan}\left(-\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}}{2}+x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{2}\,1{}\mathrm{i}}{16}-\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}-\mathrm{atan}\left(x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)-\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\sqrt{2}}{16}-\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}","Not used",1,"atan((x*1i)/(2^(1/2) + 2)^(1/2) - (x*1i)/(2^(1/2) - 2)^(1/2) + (2^(1/2)*x*1i)/(2*(2^(1/2) - 2)^(1/2)) + (2^(1/2)*x*1i)/(2*(2^(1/2) + 2)^(1/2)))*(((2^(1/2) - 2)^(1/2)*1i)/8 + ((2^(1/2) + 2)^(1/2)*1i)/8) - atan((x*1i)/(- 2^(1/2) - 2)^(1/2) + (x*1i)/(2 - 2^(1/2))^(1/2) + (2^(1/2)*x*1i)/(2*(- 2^(1/2) - 2)^(1/2)) - (2^(1/2)*x*1i)/(2*(2 - 2^(1/2))^(1/2)))*(((- 2^(1/2) - 2)^(1/2)*1i)/8 - ((2 - 2^(1/2))^(1/2)*1i)/8) + atan(x*(2^(1/2) + 2)^(1/2)*(1/2 - 1i/2) - (2^(1/2)*x*(2^(1/2) + 2)^(1/2))/2)*((2^(1/2)*1i)/16 - (1/16 + 1i/16))*(2^(1/2) + 2)^(1/2)*2i - atan(x*(2^(1/2) + 2)^(1/2)*(1/2 + 1i/2) - (2^(1/2)*x*(2^(1/2) + 2)^(1/2)*1i)/2)*(2^(1/2)/16 - (1/16 - 1i/16))*(2^(1/2) + 2)^(1/2)*2i","B"
1502,1,295,347,1.082048,"\text{Not used}","int(x^4/(x^8 + 1),x)","-\mathrm{atan}\left(\frac{x\,\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}\,\sqrt{-\sqrt{2}-2}-\sqrt{2}}-\frac{x\,\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}\,\sqrt{-\sqrt{2}-2}-\sqrt{2}}\right)\,\left(\frac{\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{8}-\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)-\mathrm{atan}\left(\frac{x\,\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{\sqrt{2}-\sqrt{\sqrt{2}-2}\,\sqrt{\sqrt{2}+2}}+\frac{x\,\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{\sqrt{2}-\sqrt{\sqrt{2}-2}\,\sqrt{\sqrt{2}+2}}\right)\,\left(\frac{\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{8}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{8}\right)+\mathrm{atan}\left(-\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}}{2}+x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{2}}{16}-\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}+\mathrm{atan}\left(x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\sqrt{2}\,1{}\mathrm{i}}{16}-\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}","Not used",1,"atan(x*(2^(1/2) + 2)^(1/2)*(1/2 + 1i/2) - (2^(1/2)*x*(2^(1/2) + 2)^(1/2))/2)*(2^(1/2)/16 - (1/16 - 1i/16))*(2^(1/2) + 2)^(1/2)*2i - atan((x*(2^(1/2) - 2)^(1/2)*1i)/(2^(1/2) - (2^(1/2) - 2)^(1/2)*(2^(1/2) + 2)^(1/2)) + (x*(2^(1/2) + 2)^(1/2)*1i)/(2^(1/2) - (2^(1/2) - 2)^(1/2)*(2^(1/2) + 2)^(1/2)))*(((2^(1/2) - 2)^(1/2)*1i)/8 + ((2^(1/2) + 2)^(1/2)*1i)/8) - atan((x*(- 2^(1/2) - 2)^(1/2)*1i)/((2 - 2^(1/2))^(1/2)*(- 2^(1/2) - 2)^(1/2) - 2^(1/2)) - (x*(2 - 2^(1/2))^(1/2)*1i)/((2 - 2^(1/2))^(1/2)*(- 2^(1/2) - 2)^(1/2) - 2^(1/2)))*(((- 2^(1/2) - 2)^(1/2)*1i)/8 - ((2 - 2^(1/2))^(1/2)*1i)/8) + atan(x*(2^(1/2) + 2)^(1/2)*(1/2 - 1i/2) + (2^(1/2)*x*(2^(1/2) + 2)^(1/2)*1i)/2)*((2^(1/2)*1i)/16 - (1/16 + 1i/16))*(2^(1/2) + 2)^(1/2)*2i","B"
1503,1,193,339,0.094318,"\text{Not used}","int(x^2/(x^8 + 1),x)","-\mathrm{atan}\left(x\,{\left(\frac{\sqrt{-\sqrt{2}-2}}{16}-\frac{\sqrt{2-\sqrt{2}}}{16}\right)}^5\,32768{}\mathrm{i}\right)\,\left(\frac{\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{8}-\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)-\mathrm{atan}\left(x\,{\left(\frac{\sqrt{\sqrt{2}-2}}{16}+\frac{\sqrt{\sqrt{2}+2}}{16}\right)}^5\,32768{}\mathrm{i}\right)\,\left(\frac{\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{8}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{8}\right)-\mathrm{atan}\left(x\,{\left(\frac{\sqrt{2}}{16}-\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)}^5\,{\left(\sqrt{2}+2\right)}^{5/2}\,32768{}\mathrm{i}\right)\,\left(\frac{\sqrt{2}}{16}-\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}-\mathrm{atan}\left(x\,{\left(\frac{\sqrt{2}\,1{}\mathrm{i}}{16}-\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)}^5\,{\left(\sqrt{2}+2\right)}^{5/2}\,32768{}\mathrm{i}\right)\,\left(\frac{\sqrt{2}\,1{}\mathrm{i}}{16}-\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}","Not used",1,"- atan(x*((- 2^(1/2) - 2)^(1/2)/16 - (2 - 2^(1/2))^(1/2)/16)^5*32768i)*(((- 2^(1/2) - 2)^(1/2)*1i)/8 - ((2 - 2^(1/2))^(1/2)*1i)/8) - atan(x*((2^(1/2) - 2)^(1/2)/16 + (2^(1/2) + 2)^(1/2)/16)^5*32768i)*(((2^(1/2) - 2)^(1/2)*1i)/8 + ((2^(1/2) + 2)^(1/2)*1i)/8) - atan(x*(2^(1/2)/16 - (1/16 - 1i/16))^5*(2^(1/2) + 2)^(5/2)*32768i)*(2^(1/2)/16 - (1/16 - 1i/16))*(2^(1/2) + 2)^(1/2)*2i - atan(x*((2^(1/2)*1i)/16 - (1/16 + 1i/16))^5*(2^(1/2) + 2)^(5/2)*32768i)*((2^(1/2)*1i)/16 - (1/16 + 1i/16))*(2^(1/2) + 2)^(1/2)*2i","B"
1504,1,288,339,0.067518,"\text{Not used}","int(1/(x^8 + 1),x)","\mathrm{atan}\left(\frac{x\,\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}\,\sqrt{-\sqrt{2}-2}+\sqrt{2}}-\frac{x\,\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}\,\sqrt{-\sqrt{2}-2}+\sqrt{2}}\right)\,\left(\frac{\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{8}-\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)-\mathrm{atan}\left(\frac{x\,\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{\sqrt{2}+\sqrt{\sqrt{2}-2}\,\sqrt{\sqrt{2}+2}}+\frac{x\,\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{\sqrt{2}+\sqrt{\sqrt{2}-2}\,\sqrt{\sqrt{2}+2}}\right)\,\left(\frac{\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{8}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{8}\right)+\mathrm{atan}\left(-\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}}{2}+x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{2}\,1{}\mathrm{i}}{16}-\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}-\mathrm{atan}\left(x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\sqrt{2}}{16}-\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}","Not used",1,"atan((x*(- 2^(1/2) - 2)^(1/2)*1i)/((2 - 2^(1/2))^(1/2)*(- 2^(1/2) - 2)^(1/2) + 2^(1/2)) - (x*(2 - 2^(1/2))^(1/2)*1i)/((2 - 2^(1/2))^(1/2)*(- 2^(1/2) - 2)^(1/2) + 2^(1/2)))*(((- 2^(1/2) - 2)^(1/2)*1i)/8 - ((2 - 2^(1/2))^(1/2)*1i)/8) - atan((x*(2^(1/2) - 2)^(1/2)*1i)/(2^(1/2) + (2^(1/2) - 2)^(1/2)*(2^(1/2) + 2)^(1/2)) + (x*(2^(1/2) + 2)^(1/2)*1i)/(2^(1/2) + (2^(1/2) - 2)^(1/2)*(2^(1/2) + 2)^(1/2)))*(((2^(1/2) - 2)^(1/2)*1i)/8 + ((2^(1/2) + 2)^(1/2)*1i)/8) + atan(x*(2^(1/2) + 2)^(1/2)*(1/2 + 1i/2) - (2^(1/2)*x*(2^(1/2) + 2)^(1/2))/2)*((2^(1/2)*1i)/16 - (1/16 + 1i/16))*(2^(1/2) + 2)^(1/2)*2i - atan(x*(2^(1/2) + 2)^(1/2)*(1/2 - 1i/2) + (2^(1/2)*x*(2^(1/2) + 2)^(1/2)*1i)/2)*(2^(1/2)/16 - (1/16 - 1i/16))*(2^(1/2) + 2)^(1/2)*2i","B"
1505,1,261,344,0.062622,"\text{Not used}","int(1/(x^2*(x^8 + 1)),x)","-\mathrm{atan}\left(-\frac{x\,1{}\mathrm{i}}{\sqrt{\sqrt{2}-2}}+\frac{x\,1{}\mathrm{i}}{\sqrt{\sqrt{2}+2}}+\frac{\sqrt{2}\,x\,1{}\mathrm{i}}{2\,\sqrt{\sqrt{2}-2}}+\frac{\sqrt{2}\,x\,1{}\mathrm{i}}{2\,\sqrt{\sqrt{2}+2}}\right)\,\left(\frac{\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{8}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{8}\right)+\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{\sqrt{-\sqrt{2}-2}}+\frac{x\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}}+\frac{\sqrt{2}\,x\,1{}\mathrm{i}}{2\,\sqrt{-\sqrt{2}-2}}-\frac{\sqrt{2}\,x\,1{}\mathrm{i}}{2\,\sqrt{2-\sqrt{2}}}\right)\,\left(\frac{\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{8}-\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)-\frac{1}{x}-\mathrm{atan}\left(-\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}}{2}+x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{2}\,1{}\mathrm{i}}{16}-\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}+\mathrm{atan}\left(x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)-\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\sqrt{2}}{16}-\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}","Not used",1,"atan((x*1i)/(- 2^(1/2) - 2)^(1/2) + (x*1i)/(2 - 2^(1/2))^(1/2) + (2^(1/2)*x*1i)/(2*(- 2^(1/2) - 2)^(1/2)) - (2^(1/2)*x*1i)/(2*(2 - 2^(1/2))^(1/2)))*(((- 2^(1/2) - 2)^(1/2)*1i)/8 - ((2 - 2^(1/2))^(1/2)*1i)/8) - atan((x*1i)/(2^(1/2) + 2)^(1/2) - (x*1i)/(2^(1/2) - 2)^(1/2) + (2^(1/2)*x*1i)/(2*(2^(1/2) - 2)^(1/2)) + (2^(1/2)*x*1i)/(2*(2^(1/2) + 2)^(1/2)))*(((2^(1/2) - 2)^(1/2)*1i)/8 + ((2^(1/2) + 2)^(1/2)*1i)/8) - 1/x - atan(x*(2^(1/2) + 2)^(1/2)*(1/2 - 1i/2) - (2^(1/2)*x*(2^(1/2) + 2)^(1/2))/2)*((2^(1/2)*1i)/16 - (1/16 + 1i/16))*(2^(1/2) + 2)^(1/2)*2i + atan(x*(2^(1/2) + 2)^(1/2)*(1/2 + 1i/2) - (2^(1/2)*x*(2^(1/2) + 2)^(1/2)*1i)/2)*(2^(1/2)/16 - (1/16 - 1i/16))*(2^(1/2) + 2)^(1/2)*2i","B"
1506,1,298,354,0.064315,"\text{Not used}","int(1/(x^4*(x^8 + 1)),x)","\mathrm{atan}\left(\frac{x\,\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}\,\sqrt{-\sqrt{2}-2}-\sqrt{2}}-\frac{x\,\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}\,\sqrt{-\sqrt{2}-2}-\sqrt{2}}\right)\,\left(\frac{\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{8}-\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)-\frac{1}{3\,x^3}+\mathrm{atan}\left(\frac{x\,\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{\sqrt{2}-\sqrt{\sqrt{2}-2}\,\sqrt{\sqrt{2}+2}}+\frac{x\,\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{\sqrt{2}-\sqrt{\sqrt{2}-2}\,\sqrt{\sqrt{2}+2}}\right)\,\left(\frac{\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{8}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{8}\right)-\mathrm{atan}\left(-\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}}{2}+x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{2}}{16}-\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}-\mathrm{atan}\left(x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\sqrt{2}\,1{}\mathrm{i}}{16}-\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}","Not used",1,"atan((x*(- 2^(1/2) - 2)^(1/2)*1i)/((2 - 2^(1/2))^(1/2)*(- 2^(1/2) - 2)^(1/2) - 2^(1/2)) - (x*(2 - 2^(1/2))^(1/2)*1i)/((2 - 2^(1/2))^(1/2)*(- 2^(1/2) - 2)^(1/2) - 2^(1/2)))*(((- 2^(1/2) - 2)^(1/2)*1i)/8 - ((2 - 2^(1/2))^(1/2)*1i)/8) - 1/(3*x^3) + atan((x*(2^(1/2) - 2)^(1/2)*1i)/(2^(1/2) - (2^(1/2) - 2)^(1/2)*(2^(1/2) + 2)^(1/2)) + (x*(2^(1/2) + 2)^(1/2)*1i)/(2^(1/2) - (2^(1/2) - 2)^(1/2)*(2^(1/2) + 2)^(1/2)))*(((2^(1/2) - 2)^(1/2)*1i)/8 + ((2^(1/2) + 2)^(1/2)*1i)/8) - atan(x*(2^(1/2) + 2)^(1/2)*(1/2 + 1i/2) - (2^(1/2)*x*(2^(1/2) + 2)^(1/2))/2)*(2^(1/2)/16 - (1/16 - 1i/16))*(2^(1/2) + 2)^(1/2)*2i - atan(x*(2^(1/2) + 2)^(1/2)*(1/2 - 1i/2) + (2^(1/2)*x*(2^(1/2) + 2)^(1/2)*1i)/2)*((2^(1/2)*1i)/16 - (1/16 + 1i/16))*(2^(1/2) + 2)^(1/2)*2i","B"
1507,1,196,346,1.057939,"\text{Not used}","int(1/(x^6*(x^8 + 1)),x)","\mathrm{atan}\left(x\,{\left(\frac{\sqrt{-\sqrt{2}-2}}{16}-\frac{\sqrt{2-\sqrt{2}}}{16}\right)}^5\,32768{}\mathrm{i}\right)\,\left(\frac{\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{8}-\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)+\mathrm{atan}\left(x\,{\left(\frac{\sqrt{\sqrt{2}-2}}{16}+\frac{\sqrt{\sqrt{2}+2}}{16}\right)}^5\,32768{}\mathrm{i}\right)\,\left(\frac{\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{8}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{8}\right)-\frac{1}{5\,x^5}+\mathrm{atan}\left(x\,{\left(\frac{\sqrt{2}}{16}-\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)}^5\,{\left(\sqrt{2}+2\right)}^{5/2}\,32768{}\mathrm{i}\right)\,\left(\frac{\sqrt{2}}{16}-\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}+\mathrm{atan}\left(x\,{\left(\frac{\sqrt{2}\,1{}\mathrm{i}}{16}-\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)}^5\,{\left(\sqrt{2}+2\right)}^{5/2}\,32768{}\mathrm{i}\right)\,\left(\frac{\sqrt{2}\,1{}\mathrm{i}}{16}-\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}","Not used",1,"atan(x*((- 2^(1/2) - 2)^(1/2)/16 - (2 - 2^(1/2))^(1/2)/16)^5*32768i)*(((- 2^(1/2) - 2)^(1/2)*1i)/8 - ((2 - 2^(1/2))^(1/2)*1i)/8) + atan(x*((2^(1/2) - 2)^(1/2)/16 + (2^(1/2) + 2)^(1/2)/16)^5*32768i)*(((2^(1/2) - 2)^(1/2)*1i)/8 + ((2^(1/2) + 2)^(1/2)*1i)/8) - 1/(5*x^5) + atan(x*(2^(1/2)/16 - (1/16 - 1i/16))^5*(2^(1/2) + 2)^(5/2)*32768i)*(2^(1/2)/16 - (1/16 - 1i/16))*(2^(1/2) + 2)^(1/2)*2i + atan(x*((2^(1/2)*1i)/16 - (1/16 + 1i/16))^5*(2^(1/2) + 2)^(5/2)*32768i)*((2^(1/2)*1i)/16 - (1/16 + 1i/16))*(2^(1/2) + 2)^(1/2)*2i","B"
1508,1,293,346,0.038828,"\text{Not used}","int(1/(x^8*(x^8 + 1)),x)","-\mathrm{atan}\left(\frac{x\,\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}\,\sqrt{-\sqrt{2}-2}+\sqrt{2}}-\frac{x\,\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}\,\sqrt{-\sqrt{2}-2}+\sqrt{2}}\right)\,\left(\frac{\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}}{8}-\frac{\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}}{8}\right)-\frac{1}{7\,x^7}+\mathrm{atan}\left(\frac{x\,\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{\sqrt{2}+\sqrt{\sqrt{2}-2}\,\sqrt{\sqrt{2}+2}}+\frac{x\,\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{\sqrt{2}+\sqrt{\sqrt{2}-2}\,\sqrt{\sqrt{2}+2}}\right)\,\left(\frac{\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}}{8}+\frac{\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{8}\right)-\mathrm{atan}\left(-\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}}{2}+x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{\sqrt{2}\,1{}\mathrm{i}}{16}-\frac{1}{16}-\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}+\mathrm{atan}\left(x\,\sqrt{\sqrt{2}+2}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\frac{\sqrt{2}\,x\,\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{\sqrt{2}}{16}-\frac{1}{16}+\frac{1}{16}{}\mathrm{i}\right)\,\sqrt{\sqrt{2}+2}\,2{}\mathrm{i}","Not used",1,"atan((x*(2^(1/2) - 2)^(1/2)*1i)/(2^(1/2) + (2^(1/2) - 2)^(1/2)*(2^(1/2) + 2)^(1/2)) + (x*(2^(1/2) + 2)^(1/2)*1i)/(2^(1/2) + (2^(1/2) - 2)^(1/2)*(2^(1/2) + 2)^(1/2)))*(((2^(1/2) - 2)^(1/2)*1i)/8 + ((2^(1/2) + 2)^(1/2)*1i)/8) - 1/(7*x^7) - atan((x*(- 2^(1/2) - 2)^(1/2)*1i)/((2 - 2^(1/2))^(1/2)*(- 2^(1/2) - 2)^(1/2) + 2^(1/2)) - (x*(2 - 2^(1/2))^(1/2)*1i)/((2 - 2^(1/2))^(1/2)*(- 2^(1/2) - 2)^(1/2) + 2^(1/2)))*(((- 2^(1/2) - 2)^(1/2)*1i)/8 - ((2 - 2^(1/2))^(1/2)*1i)/8) - atan(x*(2^(1/2) + 2)^(1/2)*(1/2 + 1i/2) - (2^(1/2)*x*(2^(1/2) + 2)^(1/2))/2)*((2^(1/2)*1i)/16 - (1/16 + 1i/16))*(2^(1/2) + 2)^(1/2)*2i + atan(x*(2^(1/2) + 2)^(1/2)*(1/2 - 1i/2) + (2^(1/2)*x*(2^(1/2) + 2)^(1/2)*1i)/2)*(2^(1/2)/16 - (1/16 - 1i/16))*(2^(1/2) + 2)^(1/2)*2i","B"
1509,0,-1,25,0.000000,"\text{Not used}","int(x^3*(x^8 + 1)^(1/2),x)","\int x^3\,\sqrt{x^8+1} \,d x","Not used",1,"int(x^3*(x^8 + 1)^(1/2), x)","F"
1510,0,-1,62,0.000000,"\text{Not used}","int(x*(x^8 + 1)^(1/2),x)","\int x\,\sqrt{x^8+1} \,d x","Not used",1,"int(x*(x^8 + 1)^(1/2), x)","F"
1511,1,20,28,1.137615,"\text{Not used}","int((x^8 + 1)^(1/2)/x,x)","\frac{\sqrt{x^8+1}}{4}-\frac{\mathrm{atanh}\left(\sqrt{x^8+1}\right)}{4}","Not used",1,"(x^8 + 1)^(1/2)/4 - atanh((x^8 + 1)^(1/2))/4","B"
1512,0,-1,125,0.000000,"\text{Not used}","int((x^8 + 1)^(1/2)/x^3,x)","\int \frac{\sqrt{x^8+1}}{x^3} \,d x","Not used",1,"int((x^8 + 1)^(1/2)/x^3, x)","F"
1513,0,-1,35,0.000000,"\text{Not used}","int(x^3*(x^8 - 2)^(1/2),x)","\int x^3\,\sqrt{x^8-2} \,d x","Not used",1,"int(x^3*(x^8 - 2)^(1/2), x)","F"
1514,0,-1,41,0.000000,"\text{Not used}","int(x^19/(x^8 + 1)^(1/2),x)","\int \frac{x^{19}}{\sqrt{x^8+1}} \,d x","Not used",1,"int(x^19/(x^8 + 1)^(1/2), x)","F"
1515,1,14,27,1.163539,"\text{Not used}","int(x^15/(x^8 + 1)^(1/2),x)","\frac{\sqrt{x^8+1}\,\left(x^8-2\right)}{12}","Not used",1,"((x^8 + 1)^(1/2)*(x^8 - 2))/12","B"
1516,0,-1,25,0.000000,"\text{Not used}","int(x^11/(x^8 + 1)^(1/2),x)","\int \frac{x^{11}}{\sqrt{x^8+1}} \,d x","Not used",1,"int(x^11/(x^8 + 1)^(1/2), x)","F"
1517,1,9,13,0.085496,"\text{Not used}","int(x^7/(x^8 + 1)^(1/2),x)","\frac{\sqrt{x^8+1}}{4}","Not used",1,"(x^8 + 1)^(1/2)/4","B"
1518,0,-1,8,0.000000,"\text{Not used}","int(x^3/(x^8 + 1)^(1/2),x)","\int \frac{x^3}{\sqrt{x^8+1}} \,d x","Not used",1,"int(x^3/(x^8 + 1)^(1/2), x)","F"
1519,1,10,14,0.052587,"\text{Not used}","int(1/(x*(x^8 + 1)^(1/2)),x)","-\frac{\mathrm{atanh}\left(\sqrt{x^8+1}\right)}{4}","Not used",1,"-atanh((x^8 + 1)^(1/2))/4","B"
1520,1,12,16,1.129735,"\text{Not used}","int(1/(x^5*(x^8 + 1)^(1/2)),x)","-\frac{\sqrt{x^8+1}}{4\,x^4}","Not used",1,"-(x^8 + 1)^(1/2)/(4*x^4)","B"
1521,1,23,31,1.410944,"\text{Not used}","int(1/(x^9*(x^8 + 1)^(1/2)),x)","\frac{\mathrm{atanh}\left(\sqrt{x^8+1}\right)}{8}-\frac{\sqrt{x^8+1}}{8\,x^8}","Not used",1,"atanh((x^8 + 1)^(1/2))/8 - (x^8 + 1)^(1/2)/(8*x^8)","B"
1522,1,19,33,1.192195,"\text{Not used}","int(1/(x^13*(x^8 + 1)^(1/2)),x)","\frac{\sqrt{x^8+1}\,\left(2\,x^8-1\right)}{12\,x^{12}}","Not used",1,"((x^8 + 1)^(1/2)*(2*x^8 - 1))/(12*x^12)","B"
1523,1,49,47,1.464381,"\text{Not used}","int(1/(x^17*(x^8 + 1)^(1/2)),x)","\frac{\frac{5\,\sqrt{x^8+1}}{32}-\frac{3\,{\left(x^8+1\right)}^{3/2}}{32}}{2\,x^8-{\left(x^8+1\right)}^2+1}-\frac{3\,\mathrm{atanh}\left(\sqrt{x^8+1}\right)}{32}","Not used",1,"((5*(x^8 + 1)^(1/2))/32 - (3*(x^8 + 1)^(3/2))/32)/(2*x^8 - (x^8 + 1)^2 + 1) - (3*atanh((x^8 + 1)^(1/2)))/32","B"
1524,0,-1,130,0.000000,"\text{Not used}","int(x^13/(x^8 + 1)^(1/2),x)","\int \frac{x^{13}}{\sqrt{x^8+1}} \,d x","Not used",1,"int(x^13/(x^8 + 1)^(1/2), x)","F"
1525,0,-1,62,0.000000,"\text{Not used}","int(x^9/(x^8 + 1)^(1/2),x)","\int \frac{x^9}{\sqrt{x^8+1}} \,d x","Not used",1,"int(x^9/(x^8 + 1)^(1/2), x)","F"
1526,0,-1,114,0.000000,"\text{Not used}","int(x^5/(x^8 + 1)^(1/2),x)","\int \frac{x^5}{\sqrt{x^8+1}} \,d x","Not used",1,"int(x^5/(x^8 + 1)^(1/2), x)","F"
1527,0,-1,45,0.000000,"\text{Not used}","int(x/(x^8 + 1)^(1/2),x)","\int \frac{x}{\sqrt{x^8+1}} \,d x","Not used",1,"int(x/(x^8 + 1)^(1/2), x)","F"
1528,0,-1,130,0.000000,"\text{Not used}","int(1/(x^3*(x^8 + 1)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{x^8+1}} \,d x","Not used",1,"int(1/(x^3*(x^8 + 1)^(1/2)), x)","F"
1529,0,-1,62,0.000000,"\text{Not used}","int(1/(x^7*(x^8 + 1)^(1/2)),x)","\int \frac{1}{x^7\,\sqrt{x^8+1}} \,d x","Not used",1,"int(1/(x^7*(x^8 + 1)^(1/2)), x)","F"
1530,0,-1,239,0.000000,"\text{Not used}","int(x^10/(x^8 + 1)^(1/2),x)","\int \frac{x^{10}}{\sqrt{x^8+1}} \,d x","Not used",1,"int(x^10/(x^8 + 1)^(1/2), x)","F"
1531,0,-1,237,0.000000,"\text{Not used}","int(x^8/(x^8 + 1)^(1/2),x)","\int \frac{x^8}{\sqrt{x^8+1}} \,d x","Not used",1,"int(x^8/(x^8 + 1)^(1/2), x)","F"
1532,0,-1,22,0.000000,"\text{Not used}","int(x^6/(x^8 + 1)^(1/2),x)","\int \frac{x^6}{\sqrt{x^8+1}} \,d x","Not used",1,"int(x^6/(x^8 + 1)^(1/2), x)","F"
1533,0,-1,22,0.000000,"\text{Not used}","int(x^4/(x^8 + 1)^(1/2),x)","\int \frac{x^4}{\sqrt{x^8+1}} \,d x","Not used",1,"int(x^4/(x^8 + 1)^(1/2), x)","F"
1534,0,-1,223,0.000000,"\text{Not used}","int(x^2/(x^8 + 1)^(1/2),x)","\int \frac{x^2}{\sqrt{x^8+1}} \,d x","Not used",1,"int(x^2/(x^8 + 1)^(1/2), x)","F"
1535,1,12,223,0.074382,"\text{Not used}","int(1/(x^8 + 1)^(1/2),x)","x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{8},\frac{1}{2};\ \frac{9}{8};\ -x^8\right)","Not used",1,"x*hypergeom([1/8, 1/2], 9/8, -x^8)","B"
1536,1,15,37,1.120872,"\text{Not used}","int(1/(x^2*(x^8 + 1)^(1/2)),x)","-\frac{{{}}_2{\mathrm{F}}_1\left(-\frac{1}{8},\frac{1}{2};\ \frac{7}{8};\ -x^8\right)}{x}","Not used",1,"-hypergeom([-1/8, 1/2], 7/8, -x^8)/x","B"
1537,0,-1,39,0.000000,"\text{Not used}","int(1/(x^4*(x^8 + 1)^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{x^8+1}} \,d x","Not used",1,"int(1/(x^4*(x^8 + 1)^(1/2)), x)","F"
1538,0,-1,239,0.000000,"\text{Not used}","int(1/(x^6*(x^8 + 1)^(1/2)),x)","\int \frac{1}{x^6\,\sqrt{x^8+1}} \,d x","Not used",1,"int(1/(x^6*(x^8 + 1)^(1/2)), x)","F"
1539,0,-1,239,0.000000,"\text{Not used}","int(1/(x^8*(x^8 + 1)^(1/2)),x)","\int \frac{1}{x^8\,\sqrt{x^8+1}} \,d x","Not used",1,"int(1/(x^8*(x^8 + 1)^(1/2)), x)","F"
1540,1,852,163,1.294060,"\text{Not used}","int(-1/(x^10 - 1),x)","-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{5}+\mathrm{atan}\left(\frac{\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{40}-\frac{\sqrt{5}}{40}+\frac{1}{40}\right)\,\left(10\,x-\frac{5\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{2}+\frac{5\,\sqrt{5}}{2}-\frac{5}{2}\right)\,1{}\mathrm{i}+\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{40}-\frac{\sqrt{5}}{40}+\frac{1}{40}\right)\,\left(10\,x+\frac{5\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{2}-\frac{5\,\sqrt{5}}{2}+\frac{5}{2}\right)\,1{}\mathrm{i}}{\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{40}-\frac{\sqrt{5}}{40}+\frac{1}{40}\right)\,\left(10\,x-\frac{5\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{2}+\frac{5\,\sqrt{5}}{2}-\frac{5}{2}\right)-\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{40}-\frac{\sqrt{5}}{40}+\frac{1}{40}\right)\,\left(10\,x+\frac{5\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{2}-\frac{5\,\sqrt{5}}{2}+\frac{5}{2}\right)}\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}\,1{}\mathrm{i}}{20}-\frac{\sqrt{5}\,1{}\mathrm{i}}{20}+\frac{1}{20}{}\mathrm{i}\right)+\mathrm{atan}\left(\frac{\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{40}+\frac{\sqrt{5}}{40}-\frac{1}{40}\right)\,\left(10\,x-\frac{5\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{2}-\frac{5\,\sqrt{5}}{2}+\frac{5}{2}\right)\,1{}\mathrm{i}+\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{40}+\frac{\sqrt{5}}{40}-\frac{1}{40}\right)\,\left(10\,x+\frac{5\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{2}+\frac{5\,\sqrt{5}}{2}-\frac{5}{2}\right)\,1{}\mathrm{i}}{\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{40}+\frac{\sqrt{5}}{40}-\frac{1}{40}\right)\,\left(10\,x-\frac{5\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{2}-\frac{5\,\sqrt{5}}{2}+\frac{5}{2}\right)-\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{40}+\frac{\sqrt{5}}{40}-\frac{1}{40}\right)\,\left(10\,x+\frac{5\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{2}+\frac{5\,\sqrt{5}}{2}-\frac{5}{2}\right)}\right)\,\left(\frac{\sqrt{2}\,\sqrt{-\sqrt{5}-5}\,1{}\mathrm{i}}{20}+\frac{\sqrt{5}\,1{}\mathrm{i}}{20}-\frac{1}{20}{}\mathrm{i}\right)+\mathrm{atan}\left(\frac{\left(\frac{\sqrt{5}}{40}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{40}+\frac{1}{40}\right)\,\left(\frac{5\,\sqrt{5}}{2}-10\,x+\frac{5\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{2}+\frac{5}{2}\right)\,1{}\mathrm{i}-\left(\frac{\sqrt{5}}{40}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{40}+\frac{1}{40}\right)\,\left(10\,x+\frac{5\,\sqrt{5}}{2}+\frac{5\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{2}+\frac{5}{2}\right)\,1{}\mathrm{i}}{\left(\frac{\sqrt{5}}{40}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{40}+\frac{1}{40}\right)\,\left(\frac{5\,\sqrt{5}}{2}-10\,x+\frac{5\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{2}+\frac{5}{2}\right)+\left(\frac{\sqrt{5}}{40}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{40}+\frac{1}{40}\right)\,\left(10\,x+\frac{5\,\sqrt{5}}{2}+\frac{5\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{2}+\frac{5}{2}\right)}\right)\,\left(\frac{\sqrt{5}\,1{}\mathrm{i}}{20}+\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}\,1{}\mathrm{i}}{20}+\frac{1}{20}{}\mathrm{i}\right)+\mathrm{atan}\left(\frac{\left(\frac{\sqrt{5}}{40}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{40}+\frac{1}{40}\right)\,\left(10\,x-\frac{5\,\sqrt{5}}{2}+\frac{5\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{2}-\frac{5}{2}\right)\,1{}\mathrm{i}+\left(\frac{\sqrt{5}}{40}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{40}+\frac{1}{40}\right)\,\left(10\,x+\frac{5\,\sqrt{5}}{2}-\frac{5\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{2}+\frac{5}{2}\right)\,1{}\mathrm{i}}{\left(\frac{\sqrt{5}}{40}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{40}+\frac{1}{40}\right)\,\left(10\,x-\frac{5\,\sqrt{5}}{2}+\frac{5\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{2}-\frac{5}{2}\right)-\left(\frac{\sqrt{5}}{40}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}}{40}+\frac{1}{40}\right)\,\left(10\,x+\frac{5\,\sqrt{5}}{2}-\frac{5\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{2}+\frac{5}{2}\right)}\right)\,\left(\frac{\sqrt{5}\,1{}\mathrm{i}}{20}-\frac{\sqrt{2}\,\sqrt{\sqrt{5}-5}\,1{}\mathrm{i}}{20}+\frac{1}{20}{}\mathrm{i}\right)","Not used",1,"atan((((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/40 - 5^(1/2)/40 + 1/40)*(10*x - (5*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/2 + (5*5^(1/2))/2 - 5/2)*1i + ((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/40 - 5^(1/2)/40 + 1/40)*(10*x + (5*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/2 - (5*5^(1/2))/2 + 5/2)*1i)/(((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/40 - 5^(1/2)/40 + 1/40)*(10*x - (5*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/2 + (5*5^(1/2))/2 - 5/2) - ((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/40 - 5^(1/2)/40 + 1/40)*(10*x + (5*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/2 - (5*5^(1/2))/2 + 5/2)))*((2^(1/2)*(- 5^(1/2) - 5)^(1/2)*1i)/20 - (5^(1/2)*1i)/20 + 1i/20) - (atan(x*1i)*1i)/5 + atan((((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/40 + 5^(1/2)/40 - 1/40)*(10*x - (5*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/2 - (5*5^(1/2))/2 + 5/2)*1i + ((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/40 + 5^(1/2)/40 - 1/40)*(10*x + (5*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/2 + (5*5^(1/2))/2 - 5/2)*1i)/(((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/40 + 5^(1/2)/40 - 1/40)*(10*x - (5*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/2 - (5*5^(1/2))/2 + 5/2) - ((2^(1/2)*(- 5^(1/2) - 5)^(1/2))/40 + 5^(1/2)/40 - 1/40)*(10*x + (5*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/2 + (5*5^(1/2))/2 - 5/2)))*((2^(1/2)*(- 5^(1/2) - 5)^(1/2)*1i)/20 + (5^(1/2)*1i)/20 - 1i/20) + atan(((5^(1/2)/40 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/40 + 1/40)*((5*5^(1/2))/2 - 10*x + (5*2^(1/2)*(5^(1/2) - 5)^(1/2))/2 + 5/2)*1i - (5^(1/2)/40 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/40 + 1/40)*(10*x + (5*5^(1/2))/2 + (5*2^(1/2)*(5^(1/2) - 5)^(1/2))/2 + 5/2)*1i)/((5^(1/2)/40 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/40 + 1/40)*((5*5^(1/2))/2 - 10*x + (5*2^(1/2)*(5^(1/2) - 5)^(1/2))/2 + 5/2) + (5^(1/2)/40 + (2^(1/2)*(5^(1/2) - 5)^(1/2))/40 + 1/40)*(10*x + (5*5^(1/2))/2 + (5*2^(1/2)*(5^(1/2) - 5)^(1/2))/2 + 5/2)))*((5^(1/2)*1i)/20 + (2^(1/2)*(5^(1/2) - 5)^(1/2)*1i)/20 + 1i/20) + atan(((5^(1/2)/40 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/40 + 1/40)*(10*x - (5*5^(1/2))/2 + (5*2^(1/2)*(5^(1/2) - 5)^(1/2))/2 - 5/2)*1i + (5^(1/2)/40 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/40 + 1/40)*(10*x + (5*5^(1/2))/2 - (5*2^(1/2)*(5^(1/2) - 5)^(1/2))/2 + 5/2)*1i)/((5^(1/2)/40 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/40 + 1/40)*(10*x - (5*5^(1/2))/2 + (5*2^(1/2)*(5^(1/2) - 5)^(1/2))/2 - 5/2) - (5^(1/2)/40 - (2^(1/2)*(5^(1/2) - 5)^(1/2))/40 + 1/40)*(10*x + (5*5^(1/2))/2 - (5*2^(1/2)*(5^(1/2) - 5)^(1/2))/2 + 5/2)))*((5^(1/2)*1i)/20 - (2^(1/2)*(5^(1/2) - 5)^(1/2)*1i)/20 + 1i/20)","B"
1541,0,-1,8,0.000000,"\text{Not used}","int(x^4/(1 - x^10)^(1/2),x)","\int \frac{x^4}{\sqrt{1-x^{10}}} \,d x","Not used",1,"int(x^4/(1 - x^10)^(1/2), x)","F"
1542,0,-1,18,0.000000,"\text{Not used}","int(x^4/(x^10 - 2)^(1/2),x)","\int \frac{x^4}{\sqrt{x^{10}-2}} \,d x","Not used",1,"int(x^4/(x^10 - 2)^(1/2), x)","F"
1543,1,8,12,0.058670,"\text{Not used}","int(x^5/(x^12 + 9),x)","\frac{\mathrm{atan}\left(\frac{x^6}{3}\right)}{18}","Not used",1,"atan(x^6/3)/18","B"
1544,1,8,12,1.081326,"\text{Not used}","int(-x^5/(x^12 - 9),x)","\frac{\mathrm{atanh}\left(\frac{x^6}{3}\right)}{18}","Not used",1,"atanh(x^6/3)/18","B"
1545,0,-1,29,0.000000,"\text{Not used}","int(x^5*(x^12 + 9)^(1/2),x)","\int x^5\,\sqrt{x^{12}+9} \,d x","Not used",1,"int(x^5*(x^12 + 9)^(1/2), x)","F"
1546,1,13,17,0.022822,"\text{Not used}","int(x^6*(a + b/x),x)","\frac{x^6\,\left(7\,b+6\,a\,x\right)}{42}","Not used",1,"(x^6*(7*b + 6*a*x))/42","B"
1547,1,13,17,0.021294,"\text{Not used}","int(x^5*(a + b/x),x)","\frac{x^5\,\left(6\,b+5\,a\,x\right)}{30}","Not used",1,"(x^5*(6*b + 5*a*x))/30","B"
1548,1,13,17,0.021242,"\text{Not used}","int(x^4*(a + b/x),x)","\frac{x^4\,\left(5\,b+4\,a\,x\right)}{20}","Not used",1,"(x^4*(5*b + 4*a*x))/20","B"
1549,1,13,17,0.021625,"\text{Not used}","int(x^3*(a + b/x),x)","\frac{x^3\,\left(4\,b+3\,a\,x\right)}{12}","Not used",1,"(x^3*(4*b + 3*a*x))/12","B"
1550,1,13,17,0.020405,"\text{Not used}","int(x^2*(a + b/x),x)","\frac{x^2\,\left(3\,b+2\,a\,x\right)}{6}","Not used",1,"(x^2*(3*b + 2*a*x))/6","B"
1551,1,10,12,0.017764,"\text{Not used}","int(x*(a + b/x),x)","\frac{a\,x^2}{2}+b\,x","Not used",1,"b*x + (a*x^2)/2","B"
1552,1,8,8,0.020398,"\text{Not used}","int(a + b/x,x)","a\,x+b\,\ln\left(x\right)","Not used",1,"a*x + b*log(x)","B"
1553,1,11,11,0.034016,"\text{Not used}","int((a + b/x)/x,x)","a\,\ln\left(x\right)-\frac{b}{x}","Not used",1,"a*log(x) - b/x","B"
1554,1,11,15,0.023245,"\text{Not used}","int((a + b/x)/x^2,x)","-\frac{b+2\,a\,x}{2\,x^2}","Not used",1,"-(b + 2*a*x)/(2*x^2)","B"
1555,1,13,17,0.024434,"\text{Not used}","int((a + b/x)/x^3,x)","-\frac{2\,b+3\,a\,x}{6\,x^3}","Not used",1,"-(2*b + 3*a*x)/(6*x^3)","B"
1556,1,13,17,0.024379,"\text{Not used}","int((a + b/x)/x^4,x)","-\frac{3\,b+4\,a\,x}{12\,x^4}","Not used",1,"-(3*b + 4*a*x)/(12*x^4)","B"
1557,1,13,17,0.026344,"\text{Not used}","int((a + b/x)/x^5,x)","-\frac{4\,b+5\,a\,x}{20\,x^5}","Not used",1,"-(4*b + 5*a*x)/(20*x^5)","B"
1558,1,13,17,0.025500,"\text{Not used}","int((a + b/x)/x^6,x)","-\frac{5\,b+6\,a\,x}{30\,x^6}","Not used",1,"-(5*b + 6*a*x)/(30*x^6)","B"
1559,1,24,30,0.042154,"\text{Not used}","int(x^5*(a + b/x)^2,x)","\frac{a^2\,x^6}{6}+\frac{2\,a\,b\,x^5}{5}+\frac{b^2\,x^4}{4}","Not used",1,"(a^2*x^6)/6 + (b^2*x^4)/4 + (2*a*b*x^5)/5","B"
1560,1,24,30,0.031829,"\text{Not used}","int(x^4*(a + b/x)^2,x)","\frac{a^2\,x^5}{5}+\frac{a\,b\,x^4}{2}+\frac{b^2\,x^3}{3}","Not used",1,"(a^2*x^5)/5 + (b^2*x^3)/3 + (a*b*x^4)/2","B"
1561,1,24,30,0.031691,"\text{Not used}","int(x^3*(a + b/x)^2,x)","\frac{a^2\,x^4}{4}+\frac{2\,a\,b\,x^3}{3}+\frac{b^2\,x^2}{2}","Not used",1,"(a^2*x^4)/4 + (b^2*x^2)/2 + (2*a*b*x^3)/3","B"
1562,1,20,14,0.029291,"\text{Not used}","int(x^2*(a + b/x)^2,x)","\frac{a^2\,x^3}{3}+a\,b\,x^2+b^2\,x","Not used",1,"b^2*x + (a^2*x^3)/3 + a*b*x^2","B"
1563,1,20,22,0.029007,"\text{Not used}","int(x*(a + b/x)^2,x)","b^2\,\ln\left(x\right)+\frac{a^2\,x^2}{2}+2\,a\,b\,x","Not used",1,"b^2*log(x) + (a^2*x^2)/2 + 2*a*b*x","B"
1564,1,20,20,0.028556,"\text{Not used}","int((a + b/x)^2,x)","a^2\,x-\frac{b^2}{x}+2\,a\,b\,\ln\left(x\right)","Not used",1,"a^2*x - b^2/x + 2*a*b*log(x)","B"
1565,1,23,24,0.043283,"\text{Not used}","int((a + b/x)^2/x,x)","a^2\,\ln\left(x\right)-\frac{\frac{b^2}{2}+2\,a\,x\,b}{x^2}","Not used",1,"a^2*log(x) - (b^2/2 + 2*a*b*x)/x^2","B"
1566,1,22,16,0.036131,"\text{Not used}","int((a + b/x)^2/x^2,x)","-\frac{a^2\,x^2+a\,b\,x+\frac{b^2}{3}}{x^3}","Not used",1,"-(b^2/3 + a^2*x^2 + a*b*x)/x^3","B"
1567,1,24,30,0.035760,"\text{Not used}","int((a + b/x)^2/x^3,x)","-\frac{\frac{a^2\,x^2}{2}+\frac{2\,a\,b\,x}{3}+\frac{b^2}{4}}{x^4}","Not used",1,"-(b^2/4 + (a^2*x^2)/2 + (2*a*b*x)/3)/x^4","B"
1568,1,24,30,0.034471,"\text{Not used}","int((a + b/x)^2/x^4,x)","-\frac{\frac{a^2\,x^2}{3}+\frac{a\,b\,x}{2}+\frac{b^2}{5}}{x^5}","Not used",1,"-(b^2/5 + (a^2*x^2)/3 + (a*b*x)/2)/x^5","B"
1569,1,24,30,0.036128,"\text{Not used}","int((a + b/x)^2/x^5,x)","-\frac{\frac{a^2\,x^2}{4}+\frac{2\,a\,b\,x}{5}+\frac{b^2}{6}}{x^6}","Not used",1,"-(b^2/6 + (a^2*x^2)/4 + (2*a*b*x)/5)/x^6","B"
1570,1,35,43,0.042379,"\text{Not used}","int(x^6*(a + b/x)^3,x)","\frac{a^3\,x^7}{7}+\frac{a^2\,b\,x^6}{2}+\frac{3\,a\,b^2\,x^5}{5}+\frac{b^3\,x^4}{4}","Not used",1,"(a^3*x^7)/7 + (b^3*x^4)/4 + (3*a*b^2*x^5)/5 + (a^2*b*x^6)/2","B"
1571,1,35,43,0.043486,"\text{Not used}","int(x^5*(a + b/x)^3,x)","\frac{a^3\,x^6}{6}+\frac{3\,a^2\,b\,x^5}{5}+\frac{3\,a\,b^2\,x^4}{4}+\frac{b^3\,x^3}{3}","Not used",1,"(a^3*x^6)/6 + (b^3*x^3)/3 + (3*a*b^2*x^4)/4 + (3*a^2*b*x^5)/5","B"
1572,1,34,30,0.040421,"\text{Not used}","int(x^4*(a + b/x)^3,x)","\frac{a^3\,x^5}{5}+\frac{3\,a^2\,b\,x^4}{4}+a\,b^2\,x^3+\frac{b^3\,x^2}{2}","Not used",1,"(a^3*x^5)/5 + (b^3*x^2)/2 + a*b^2*x^3 + (3*a^2*b*x^4)/4","B"
1573,1,31,14,0.039601,"\text{Not used}","int(x^3*(a + b/x)^3,x)","\frac{a^3\,x^4}{4}+a^2\,b\,x^3+\frac{3\,a\,b^2\,x^2}{2}+b^3\,x","Not used",1,"b^3*x + (a^3*x^4)/4 + (3*a*b^2*x^2)/2 + a^2*b*x^3","B"
1574,1,31,35,0.037083,"\text{Not used}","int(x^2*(a + b/x)^3,x)","b^3\,\ln\left(x\right)+\frac{a^3\,x^3}{3}+\frac{3\,a^2\,b\,x^2}{2}+3\,a\,b^2\,x","Not used",1,"b^3*log(x) + (a^3*x^3)/3 + (3*a^2*b*x^2)/2 + 3*a*b^2*x","B"
1575,1,32,34,0.039272,"\text{Not used}","int(x*(a + b/x)^3,x)","\frac{a^3\,x^2}{2}-\frac{b^3}{x}+3\,a\,b^2\,\ln\left(x\right)+3\,a^2\,b\,x","Not used",1,"(a^3*x^2)/2 - b^3/x + 3*a*b^2*log(x) + 3*a^2*b*x","B"
1576,1,32,33,0.031355,"\text{Not used}","int((a + b/x)^3,x)","a^3\,x-\frac{\frac{b^3}{2}+3\,a\,x\,b^2}{x^2}+3\,a^2\,b\,\ln\left(x\right)","Not used",1,"a^3*x - (b^3/2 + 3*a*b^2*x)/x^2 + 3*a^2*b*log(x)","B"
1577,1,34,37,0.037765,"\text{Not used}","int((a + b/x)^3/x,x)","a^3\,\ln\left(x\right)-\frac{3\,a^2\,b\,x^2+\frac{3\,a\,b^2\,x}{2}+\frac{b^3}{3}}{x^3}","Not used",1,"a^3*log(x) - (b^3/3 + 3*a^2*b*x^2 + (3*a*b^2*x)/2)/x^3","B"
1578,1,33,16,0.028144,"\text{Not used}","int((a + b/x)^3/x^2,x)","-\frac{a^3\,x^3+\frac{3\,a^2\,b\,x^2}{2}+a\,b^2\,x+\frac{b^3}{4}}{x^4}","Not used",1,"-(b^3/4 + a^3*x^3 + (3*a^2*b*x^2)/2 + a*b^2*x)/x^4","B"
1579,1,34,36,0.028490,"\text{Not used}","int((a + b/x)^3/x^3,x)","-\frac{\frac{a^3\,x^3}{2}+a^2\,b\,x^2+\frac{3\,a\,b^2\,x}{4}+\frac{b^3}{5}}{x^5}","Not used",1,"-(b^3/5 + (a^3*x^3)/2 + a^2*b*x^2 + (3*a*b^2*x)/4)/x^5","B"
1580,1,35,43,0.029635,"\text{Not used}","int((a + b/x)^3/x^4,x)","-\frac{\frac{a^3\,x^3}{3}+\frac{3\,a^2\,b\,x^2}{4}+\frac{3\,a\,b^2\,x}{5}+\frac{b^3}{6}}{x^6}","Not used",1,"-(b^3/6 + (a^3*x^3)/3 + (3*a^2*b*x^2)/4 + (3*a*b^2*x)/5)/x^6","B"
1581,1,35,43,0.029644,"\text{Not used}","int((a + b/x)^3/x^5,x)","-\frac{\frac{a^3\,x^3}{4}+\frac{3\,a^2\,b\,x^2}{5}+\frac{a\,b^2\,x}{2}+\frac{b^3}{7}}{x^7}","Not used",1,"-(b^3/7 + (a^3*x^3)/4 + (3*a^2*b*x^2)/5 + (a*b^2*x)/2)/x^7","B"
1582,1,35,43,0.031309,"\text{Not used}","int((a + b/x)^3/x^6,x)","-\frac{\frac{a^3\,x^3}{5}+\frac{a^2\,b\,x^2}{2}+\frac{3\,a\,b^2\,x}{7}+\frac{b^3}{8}}{x^8}","Not used",1,"-(b^3/8 + (a^3*x^3)/5 + (a^2*b*x^2)/2 + (3*a*b^2*x)/7)/x^8","B"
1583,1,90,106,0.057761,"\text{Not used}","int(x^16*(a + b/x)^8,x)","\frac{a^8\,x^{17}}{17}+\frac{a^7\,b\,x^{16}}{2}+\frac{28\,a^6\,b^2\,x^{15}}{15}+4\,a^5\,b^3\,x^{14}+\frac{70\,a^4\,b^4\,x^{13}}{13}+\frac{14\,a^3\,b^5\,x^{12}}{3}+\frac{28\,a^2\,b^6\,x^{11}}{11}+\frac{4\,a\,b^7\,x^{10}}{5}+\frac{b^8\,x^9}{9}","Not used",1,"(a^8*x^17)/17 + (b^8*x^9)/9 + (4*a*b^7*x^10)/5 + (a^7*b*x^16)/2 + (28*a^2*b^6*x^11)/11 + (14*a^3*b^5*x^12)/3 + (70*a^4*b^4*x^13)/13 + 4*a^5*b^3*x^14 + (28*a^6*b^2*x^15)/15","B"
1584,1,90,106,1.071024,"\text{Not used}","int(x^15*(a + b/x)^8,x)","\frac{a^8\,x^{16}}{16}+\frac{8\,a^7\,b\,x^{15}}{15}+2\,a^6\,b^2\,x^{14}+\frac{56\,a^5\,b^3\,x^{13}}{13}+\frac{35\,a^4\,b^4\,x^{12}}{6}+\frac{56\,a^3\,b^5\,x^{11}}{11}+\frac{14\,a^2\,b^6\,x^{10}}{5}+\frac{8\,a\,b^7\,x^9}{9}+\frac{b^8\,x^8}{8}","Not used",1,"(a^8*x^16)/16 + (b^8*x^8)/8 + (8*a*b^7*x^9)/9 + (8*a^7*b*x^15)/15 + (14*a^2*b^6*x^10)/5 + (56*a^3*b^5*x^11)/11 + (35*a^4*b^4*x^12)/6 + (56*a^5*b^3*x^13)/13 + 2*a^6*b^2*x^14","B"
1585,1,90,98,0.053222,"\text{Not used}","int(x^13*(a + b/x)^8,x)","\frac{a^8\,x^{14}}{14}+\frac{8\,a^7\,b\,x^{13}}{13}+\frac{7\,a^6\,b^2\,x^{12}}{3}+\frac{56\,a^5\,b^3\,x^{11}}{11}+7\,a^4\,b^4\,x^{10}+\frac{56\,a^3\,b^5\,x^9}{9}+\frac{7\,a^2\,b^6\,x^8}{2}+\frac{8\,a\,b^7\,x^7}{7}+\frac{b^8\,x^6}{6}","Not used",1,"(a^8*x^14)/14 + (b^8*x^6)/6 + (8*a*b^7*x^7)/7 + (8*a^7*b*x^13)/13 + (7*a^2*b^6*x^8)/2 + (56*a^3*b^5*x^9)/9 + 7*a^4*b^4*x^10 + (56*a^5*b^3*x^11)/11 + (7*a^6*b^2*x^12)/3","B"
1586,1,90,81,1.064957,"\text{Not used}","int(x^12*(a + b/x)^8,x)","\frac{a^8\,x^{13}}{13}+\frac{2\,a^7\,b\,x^{12}}{3}+\frac{28\,a^6\,b^2\,x^{11}}{11}+\frac{28\,a^5\,b^3\,x^{10}}{5}+\frac{70\,a^4\,b^4\,x^9}{9}+7\,a^3\,b^5\,x^8+4\,a^2\,b^6\,x^7+\frac{4\,a\,b^7\,x^6}{3}+\frac{b^8\,x^5}{5}","Not used",1,"(a^8*x^13)/13 + (b^8*x^5)/5 + (4*a*b^7*x^6)/3 + (2*a^7*b*x^12)/3 + 4*a^2*b^6*x^7 + 7*a^3*b^5*x^8 + (70*a^4*b^4*x^9)/9 + (28*a^5*b^3*x^10)/5 + (28*a^6*b^2*x^11)/11","B"
1587,1,90,64,0.053735,"\text{Not used}","int(x^11*(a + b/x)^8,x)","\frac{a^8\,x^{12}}{12}+\frac{8\,a^7\,b\,x^{11}}{11}+\frac{14\,a^6\,b^2\,x^{10}}{5}+\frac{56\,a^5\,b^3\,x^9}{9}+\frac{35\,a^4\,b^4\,x^8}{4}+8\,a^3\,b^5\,x^7+\frac{14\,a^2\,b^6\,x^6}{3}+\frac{8\,a\,b^7\,x^5}{5}+\frac{b^8\,x^4}{4}","Not used",1,"(a^8*x^12)/12 + (b^8*x^4)/4 + (8*a*b^7*x^5)/5 + (8*a^7*b*x^11)/11 + (14*a^2*b^6*x^6)/3 + 8*a^3*b^5*x^7 + (35*a^4*b^4*x^8)/4 + (56*a^5*b^3*x^9)/9 + (14*a^6*b^2*x^10)/5","B"
1588,1,90,47,1.062819,"\text{Not used}","int(x^10*(a + b/x)^8,x)","\frac{a^8\,x^{11}}{11}+\frac{4\,a^7\,b\,x^{10}}{5}+\frac{28\,a^6\,b^2\,x^9}{9}+7\,a^5\,b^3\,x^8+10\,a^4\,b^4\,x^7+\frac{28\,a^3\,b^5\,x^6}{3}+\frac{28\,a^2\,b^6\,x^5}{5}+2\,a\,b^7\,x^4+\frac{b^8\,x^3}{3}","Not used",1,"(a^8*x^11)/11 + (b^8*x^3)/3 + 2*a*b^7*x^4 + (4*a^7*b*x^10)/5 + (28*a^2*b^6*x^5)/5 + (28*a^3*b^5*x^6)/3 + 10*a^4*b^4*x^7 + 7*a^5*b^3*x^8 + (28*a^6*b^2*x^9)/9","B"
1589,1,90,30,1.061223,"\text{Not used}","int(x^9*(a + b/x)^8,x)","\frac{a^8\,x^{10}}{10}+\frac{8\,a^7\,b\,x^9}{9}+\frac{7\,a^6\,b^2\,x^8}{2}+8\,a^5\,b^3\,x^7+\frac{35\,a^4\,b^4\,x^6}{3}+\frac{56\,a^3\,b^5\,x^5}{5}+7\,a^2\,b^6\,x^4+\frac{8\,a\,b^7\,x^3}{3}+\frac{b^8\,x^2}{2}","Not used",1,"(a^8*x^10)/10 + (b^8*x^2)/2 + (8*a*b^7*x^3)/3 + (8*a^7*b*x^9)/9 + 7*a^2*b^6*x^4 + (56*a^3*b^5*x^5)/5 + (35*a^4*b^4*x^6)/3 + 8*a^5*b^3*x^7 + (7*a^6*b^2*x^8)/2","B"
1590,1,86,14,0.050990,"\text{Not used}","int(x^8*(a + b/x)^8,x)","\frac{a^8\,x^9}{9}+a^7\,b\,x^8+4\,a^6\,b^2\,x^7+\frac{28\,a^5\,b^3\,x^6}{3}+14\,a^4\,b^4\,x^5+14\,a^3\,b^5\,x^4+\frac{28\,a^2\,b^6\,x^3}{3}+4\,a\,b^7\,x^2+b^8\,x","Not used",1,"b^8*x + (a^8*x^9)/9 + 4*a*b^7*x^2 + a^7*b*x^8 + (28*a^2*b^6*x^3)/3 + 14*a^3*b^5*x^4 + 14*a^4*b^4*x^5 + (28*a^5*b^3*x^6)/3 + 4*a^6*b^2*x^7","B"
1591,1,86,98,1.059026,"\text{Not used}","int(x^7*(a + b/x)^8,x)","b^8\,\ln\left(x\right)+\frac{a^8\,x^8}{8}+\frac{8\,a^7\,b\,x^7}{7}+14\,a^2\,b^6\,x^2+\frac{56\,a^3\,b^5\,x^3}{3}+\frac{35\,a^4\,b^4\,x^4}{2}+\frac{56\,a^5\,b^3\,x^5}{5}+\frac{14\,a^6\,b^2\,x^6}{3}+8\,a\,b^7\,x","Not used",1,"b^8*log(x) + (a^8*x^8)/8 + (8*a^7*b*x^7)/7 + 14*a^2*b^6*x^2 + (56*a^3*b^5*x^3)/3 + (35*a^4*b^4*x^4)/2 + (56*a^5*b^3*x^5)/5 + (14*a^6*b^2*x^6)/3 + 8*a*b^7*x","B"
1592,1,87,95,0.057008,"\text{Not used}","int(x^6*(a + b/x)^8,x)","\frac{a^8\,x^7}{7}-\frac{b^8}{x}+28\,a^2\,b^6\,x+\frac{4\,a^7\,b\,x^6}{3}+8\,a\,b^7\,\ln\left(x\right)+28\,a^3\,b^5\,x^2+\frac{70\,a^4\,b^4\,x^3}{3}+14\,a^5\,b^3\,x^4+\frac{28\,a^6\,b^2\,x^5}{5}","Not used",1,"(a^8*x^7)/7 - b^8/x + 28*a^2*b^6*x + (4*a^7*b*x^6)/3 + 8*a*b^7*log(x) + 28*a^3*b^5*x^2 + (70*a^4*b^4*x^3)/3 + 14*a^5*b^3*x^4 + (28*a^6*b^2*x^5)/5","B"
1593,1,88,95,0.052448,"\text{Not used}","int(x^5*(a + b/x)^8,x)","\frac{a^8\,x^6}{6}-\frac{\frac{b^8}{2}+8\,a\,x\,b^7}{x^2}+56\,a^3\,b^5\,x+\frac{8\,a^7\,b\,x^5}{5}+35\,a^4\,b^4\,x^2+\frac{56\,a^5\,b^3\,x^3}{3}+7\,a^6\,b^2\,x^4+28\,a^2\,b^6\,\ln\left(x\right)","Not used",1,"(a^8*x^6)/6 - (b^8/2 + 8*a*b^7*x)/x^2 + 56*a^3*b^5*x + (8*a^7*b*x^5)/5 + 35*a^4*b^4*x^2 + (56*a^5*b^3*x^3)/3 + 7*a^6*b^2*x^4 + 28*a^2*b^6*log(x)","B"
1594,1,88,93,0.051247,"\text{Not used}","int(x^4*(a + b/x)^8,x)","\frac{a^8\,x^5}{5}-\frac{28\,a^2\,b^6\,x^2+4\,a\,b^7\,x+\frac{b^8}{3}}{x^3}+70\,a^4\,b^4\,x+2\,a^7\,b\,x^4+28\,a^5\,b^3\,x^2+\frac{28\,a^6\,b^2\,x^3}{3}+56\,a^3\,b^5\,\ln\left(x\right)","Not used",1,"(a^8*x^5)/5 - (b^8/3 + 28*a^2*b^6*x^2 + 4*a*b^7*x)/x^3 + 70*a^4*b^4*x + 2*a^7*b*x^4 + 28*a^5*b^3*x^2 + (28*a^6*b^2*x^3)/3 + 56*a^3*b^5*log(x)","B"
1595,1,88,95,0.052630,"\text{Not used}","int(x^3*(a + b/x)^8,x)","\frac{a^8\,x^4}{4}-\frac{56\,a^3\,b^5\,x^3+14\,a^2\,b^6\,x^2+\frac{8\,a\,b^7\,x}{3}+\frac{b^8}{4}}{x^4}+56\,a^5\,b^3\,x+\frac{8\,a^7\,b\,x^3}{3}+14\,a^6\,b^2\,x^2+70\,a^4\,b^4\,\ln\left(x\right)","Not used",1,"(a^8*x^4)/4 - (b^8/4 + 14*a^2*b^6*x^2 + 56*a^3*b^5*x^3 + (8*a*b^7*x)/3)/x^4 + 56*a^5*b^3*x + (8*a^7*b*x^3)/3 + 14*a^6*b^2*x^2 + 70*a^4*b^4*log(x)","B"
1596,1,88,93,1.053214,"\text{Not used}","int(x^2*(a + b/x)^8,x)","\frac{a^8\,x^3}{3}-\frac{70\,a^4\,b^4\,x^4+28\,a^3\,b^5\,x^3+\frac{28\,a^2\,b^6\,x^2}{3}+2\,a\,b^7\,x+\frac{b^8}{5}}{x^5}+28\,a^6\,b^2\,x+4\,a^7\,b\,x^2+56\,a^5\,b^3\,\ln\left(x\right)","Not used",1,"(a^8*x^3)/3 - (b^8/5 + (28*a^2*b^6*x^2)/3 + 28*a^3*b^5*x^3 + 70*a^4*b^4*x^4 + 2*a*b^7*x)/x^5 + 28*a^6*b^2*x + 4*a^7*b*x^2 + 56*a^5*b^3*log(x)","B"
1597,1,88,95,1.060614,"\text{Not used}","int(x*(a + b/x)^8,x)","\frac{a^8\,x^2}{2}-\frac{56\,a^5\,b^3\,x^5+35\,a^4\,b^4\,x^4+\frac{56\,a^3\,b^5\,x^3}{3}+7\,a^2\,b^6\,x^2+\frac{8\,a\,b^7\,x}{5}+\frac{b^8}{6}}{x^6}+28\,a^6\,b^2\,\ln\left(x\right)+8\,a^7\,b\,x","Not used",1,"(a^8*x^2)/2 - (b^8/6 + 7*a^2*b^6*x^2 + (56*a^3*b^5*x^3)/3 + 35*a^4*b^4*x^4 + 56*a^5*b^3*x^5 + (8*a*b^7*x)/5)/x^6 + 28*a^6*b^2*log(x) + 8*a^7*b*x","B"
1598,1,92,94,1.070459,"\text{Not used}","int((a + b/x)^8,x)","-\frac{\frac{b^8}{7}-a^8\,x^8+\frac{28\,a^2\,b^6\,x^2}{5}+14\,a^3\,b^5\,x^3+\frac{70\,a^4\,b^4\,x^4}{3}+28\,a^5\,b^3\,x^5+28\,a^6\,b^2\,x^6+\frac{4\,a\,b^7\,x}{3}-8\,a^7\,b\,x^7\,\ln\left(x\right)}{x^7}","Not used",1,"-(b^8/7 - a^8*x^8 + (28*a^2*b^6*x^2)/5 + 14*a^3*b^5*x^3 + (70*a^4*b^4*x^4)/3 + 28*a^5*b^3*x^5 + 28*a^6*b^2*x^6 + (4*a*b^7*x)/3 - 8*a^7*b*x^7*log(x))/x^7","B"
1599,1,89,100,0.065824,"\text{Not used}","int((a + b/x)^8/x,x)","a^8\,\ln\left(x\right)-\frac{8\,a^7\,b\,x^7+14\,a^6\,b^2\,x^6+\frac{56\,a^5\,b^3\,x^5}{3}+\frac{35\,a^4\,b^4\,x^4}{2}+\frac{56\,a^3\,b^5\,x^3}{5}+\frac{14\,a^2\,b^6\,x^2}{3}+\frac{8\,a\,b^7\,x}{7}+\frac{b^8}{8}}{x^8}","Not used",1,"a^8*log(x) - (b^8/8 + 8*a^7*b*x^7 + (14*a^2*b^6*x^2)/3 + (56*a^3*b^5*x^3)/5 + (35*a^4*b^4*x^4)/2 + (56*a^5*b^3*x^5)/3 + 14*a^6*b^2*x^6 + (8*a*b^7*x)/7)/x^8","B"
1600,1,88,16,1.098942,"\text{Not used}","int((a + b/x)^8/x^2,x)","-\frac{a^8\,x^8+4\,a^7\,b\,x^7+\frac{28\,a^6\,b^2\,x^6}{3}+14\,a^5\,b^3\,x^5+14\,a^4\,b^4\,x^4+\frac{28\,a^3\,b^5\,x^3}{3}+4\,a^2\,b^6\,x^2+a\,b^7\,x+\frac{b^8}{9}}{x^9}","Not used",1,"-(b^8/9 + a^8*x^8 + 4*a^7*b*x^7 + 4*a^2*b^6*x^2 + (28*a^3*b^5*x^3)/3 + 14*a^4*b^4*x^4 + 14*a^5*b^3*x^5 + (28*a^6*b^2*x^6)/3 + a*b^7*x)/x^9","B"
1601,1,90,36,0.071693,"\text{Not used}","int((a + b/x)^8/x^3,x)","-\frac{\frac{a^8\,x^8}{2}+\frac{8\,a^7\,b\,x^7}{3}+7\,a^6\,b^2\,x^6+\frac{56\,a^5\,b^3\,x^5}{5}+\frac{35\,a^4\,b^4\,x^4}{3}+8\,a^3\,b^5\,x^3+\frac{7\,a^2\,b^6\,x^2}{2}+\frac{8\,a\,b^7\,x}{9}+\frac{b^8}{10}}{x^{10}}","Not used",1,"-(b^8/10 + (a^8*x^8)/2 + (8*a^7*b*x^7)/3 + (7*a^2*b^6*x^2)/2 + 8*a^3*b^5*x^3 + (35*a^4*b^4*x^4)/3 + (56*a^5*b^3*x^5)/5 + 7*a^6*b^2*x^6 + (8*a*b^7*x)/9)/x^10","B"
1602,1,90,56,1.084199,"\text{Not used}","int((a + b/x)^8/x^4,x)","-\frac{\frac{a^8\,x^8}{3}+2\,a^7\,b\,x^7+\frac{28\,a^6\,b^2\,x^6}{5}+\frac{28\,a^5\,b^3\,x^5}{3}+10\,a^4\,b^4\,x^4+7\,a^3\,b^5\,x^3+\frac{28\,a^2\,b^6\,x^2}{9}+\frac{4\,a\,b^7\,x}{5}+\frac{b^8}{11}}{x^{11}}","Not used",1,"-(b^8/11 + (a^8*x^8)/3 + 2*a^7*b*x^7 + (28*a^2*b^6*x^2)/9 + 7*a^3*b^5*x^3 + 10*a^4*b^4*x^4 + (28*a^5*b^3*x^5)/3 + (28*a^6*b^2*x^6)/5 + (4*a*b^7*x)/5)/x^11","B"
1603,1,90,76,0.072643,"\text{Not used}","int((a + b/x)^8/x^5,x)","-\frac{\frac{a^8\,x^8}{4}+\frac{8\,a^7\,b\,x^7}{5}+\frac{14\,a^6\,b^2\,x^6}{3}+8\,a^5\,b^3\,x^5+\frac{35\,a^4\,b^4\,x^4}{4}+\frac{56\,a^3\,b^5\,x^3}{9}+\frac{14\,a^2\,b^6\,x^2}{5}+\frac{8\,a\,b^7\,x}{11}+\frac{b^8}{12}}{x^{12}}","Not used",1,"-(b^8/12 + (a^8*x^8)/4 + (8*a^7*b*x^7)/5 + (14*a^2*b^6*x^2)/5 + (56*a^3*b^5*x^3)/9 + (35*a^4*b^4*x^4)/4 + 8*a^5*b^3*x^5 + (14*a^6*b^2*x^6)/3 + (8*a*b^7*x)/11)/x^12","B"
1604,1,90,96,1.075880,"\text{Not used}","int((a + b/x)^8/x^6,x)","-\frac{\frac{a^8\,x^8}{5}+\frac{4\,a^7\,b\,x^7}{3}+4\,a^6\,b^2\,x^6+7\,a^5\,b^3\,x^5+\frac{70\,a^4\,b^4\,x^4}{9}+\frac{28\,a^3\,b^5\,x^3}{5}+\frac{28\,a^2\,b^6\,x^2}{11}+\frac{2\,a\,b^7\,x}{3}+\frac{b^8}{13}}{x^{13}}","Not used",1,"-(b^8/13 + (a^8*x^8)/5 + (4*a^7*b*x^7)/3 + (28*a^2*b^6*x^2)/11 + (28*a^3*b^5*x^3)/5 + (70*a^4*b^4*x^4)/9 + 7*a^5*b^3*x^5 + 4*a^6*b^2*x^6 + (2*a*b^7*x)/3)/x^13","B"
1605,1,90,106,0.074501,"\text{Not used}","int((a + b/x)^8/x^7,x)","-\frac{\frac{a^8\,x^8}{6}+\frac{8\,a^7\,b\,x^7}{7}+\frac{7\,a^6\,b^2\,x^6}{2}+\frac{56\,a^5\,b^3\,x^5}{9}+7\,a^4\,b^4\,x^4+\frac{56\,a^3\,b^5\,x^3}{11}+\frac{7\,a^2\,b^6\,x^2}{3}+\frac{8\,a\,b^7\,x}{13}+\frac{b^8}{14}}{x^{14}}","Not used",1,"-(b^8/14 + (a^8*x^8)/6 + (8*a^7*b*x^7)/7 + (7*a^2*b^6*x^2)/3 + (56*a^3*b^5*x^3)/11 + 7*a^4*b^4*x^4 + (56*a^5*b^3*x^5)/9 + (7*a^6*b^2*x^6)/2 + (8*a*b^7*x)/13)/x^14","B"
1606,1,89,106,0.071946,"\text{Not used}","int((a + b/x)^8/x^8,x)","-\frac{\frac{a^8\,x^8}{7}+a^7\,b\,x^7+\frac{28\,a^6\,b^2\,x^6}{9}+\frac{28\,a^5\,b^3\,x^5}{5}+\frac{70\,a^4\,b^4\,x^4}{11}+\frac{14\,a^3\,b^5\,x^3}{3}+\frac{28\,a^2\,b^6\,x^2}{13}+\frac{4\,a\,b^7\,x}{7}+\frac{b^8}{15}}{x^{15}}","Not used",1,"-(b^8/15 + (a^8*x^8)/7 + a^7*b*x^7 + (28*a^2*b^6*x^2)/13 + (14*a^3*b^5*x^3)/3 + (70*a^4*b^4*x^4)/11 + (28*a^5*b^3*x^5)/5 + (28*a^6*b^2*x^6)/9 + (4*a*b^7*x)/7)/x^15","B"
1607,1,62,70,1.036216,"\text{Not used}","int(x^4/(a + b/x),x)","\frac{x^5}{5\,a}-\frac{b^5\,\ln\left(b+a\,x\right)}{a^6}-\frac{b\,x^4}{4\,a^2}+\frac{b^4\,x}{a^5}+\frac{b^2\,x^3}{3\,a^3}-\frac{b^3\,x^2}{2\,a^4}","Not used",1,"x^5/(5*a) - (b^5*log(b + a*x))/a^6 - (b*x^4)/(4*a^2) + (b^4*x)/a^5 + (b^2*x^3)/(3*a^3) - (b^3*x^2)/(2*a^4)","B"
1608,1,51,57,0.028894,"\text{Not used}","int(x^3/(a + b/x),x)","\frac{x^4}{4\,a}+\frac{b^4\,\ln\left(b+a\,x\right)}{a^5}-\frac{b\,x^3}{3\,a^2}-\frac{b^3\,x}{a^4}+\frac{b^2\,x^2}{2\,a^3}","Not used",1,"x^4/(4*a) + (b^4*log(b + a*x))/a^5 - (b*x^3)/(3*a^2) - (b^3*x)/a^4 + (b^2*x^2)/(2*a^3)","B"
1609,1,40,44,0.039680,"\text{Not used}","int(x^2/(a + b/x),x)","\frac{x^3}{3\,a}-\frac{b^3\,\ln\left(b+a\,x\right)}{a^4}-\frac{b\,x^2}{2\,a^2}+\frac{b^2\,x}{a^3}","Not used",1,"x^3/(3*a) - (b^3*log(b + a*x))/a^4 - (b*x^2)/(2*a^2) + (b^2*x)/a^3","B"
1610,1,29,31,0.039379,"\text{Not used}","int(x/(a + b/x),x)","\frac{2\,b^2\,\ln\left(b+a\,x\right)+a^2\,x^2-2\,a\,b\,x}{2\,a^3}","Not used",1,"(2*b^2*log(b + a*x) + a^2*x^2 - 2*a*b*x)/(2*a^3)","B"
1611,1,18,18,1.047782,"\text{Not used}","int(1/(a + b/x),x)","-\frac{b\,\ln\left(b+a\,x\right)-a\,x}{a^2}","Not used",1,"-(b*log(b + a*x) - a*x)/a^2","B"
1612,1,10,10,0.020704,"\text{Not used}","int(1/(x*(a + b/x)),x)","\frac{\ln\left(b+a\,x\right)}{a}","Not used",1,"log(b + a*x)/a","B"
1613,1,15,13,0.044692,"\text{Not used}","int(1/(x^2*(a + b/x)),x)","-\frac{2\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b}","Not used",1,"-(2*atanh((2*a*x)/b + 1))/b","B"
1614,1,25,28,0.057205,"\text{Not used}","int(1/(x^3*(a + b/x)),x)","\frac{2\,a\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^2}-\frac{1}{b\,x}","Not used",1,"(2*a*atanh((2*a*x)/b + 1))/b^2 - 1/(b*x)","B"
1615,1,38,42,0.059258,"\text{Not used}","int(1/(x^4*(a + b/x)),x)","-\frac{\frac{b^2}{2}-a\,b\,x}{b^3\,x^2}-\frac{2\,a^2\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^3}","Not used",1,"- (b^2/2 - a*b*x)/(b^3*x^2) - (2*a^2*atanh((2*a*x)/b + 1))/b^3","B"
1616,1,48,56,1.083153,"\text{Not used}","int(1/(x^5*(a + b/x)),x)","\frac{2\,a^3\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^4}-\frac{a^2\,b\,x^2-\frac{a\,b^2\,x}{2}+\frac{b^3}{3}}{b^4\,x^3}","Not used",1,"(2*a^3*atanh((2*a*x)/b + 1))/b^4 - (b^3/3 + a^2*b*x^2 - (a*b^2*x)/2)/(b^4*x^3)","B"
1617,1,60,68,1.093742,"\text{Not used}","int(1/(x^6*(a + b/x)),x)","-\frac{-a^3\,b\,x^3+\frac{a^2\,b^2\,x^2}{2}-\frac{a\,b^3\,x}{3}+\frac{b^4}{4}}{b^5\,x^4}-\frac{2\,a^4\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^5}","Not used",1,"- (b^4/4 - a^3*b*x^3 + (a^2*b^2*x^2)/2 - (a*b^3*x)/3)/(b^5*x^4) - (2*a^4*atanh((2*a*x)/b + 1))/b^5","B"
1618,1,70,82,1.097677,"\text{Not used}","int(1/(x^7*(a + b/x)),x)","\frac{2\,a^5\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^6}-\frac{a^4\,b\,x^4-\frac{a^3\,b^2\,x^3}{2}+\frac{a^2\,b^3\,x^2}{3}-\frac{a\,b^4\,x}{4}+\frac{b^5}{5}}{b^6\,x^5}","Not used",1,"(2*a^5*atanh((2*a*x)/b + 1))/b^6 - (b^5/5 + a^4*b*x^4 + (a^2*b^3*x^2)/3 - (a^3*b^2*x^3)/2 - (a*b^4*x)/4)/(b^6*x^5)","B"
1619,1,94,98,0.060324,"\text{Not used}","int(x^5/(a + b/x)^2,x)","\frac{x^6}{6\,a^2}+\frac{7\,b^6\,\ln\left(b+a\,x\right)}{a^8}-\frac{2\,b\,x^5}{5\,a^3}-\frac{6\,b^5\,x}{a^7}+\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{b^7}{a\,\left(x\,a^8+b\,a^7\right)}","Not used",1,"x^6/(6*a^2) + (7*b^6*log(b + a*x))/a^8 - (2*b*x^5)/(5*a^3) - (6*b^5*x)/a^7 + (3*b^2*x^4)/(4*a^4) - (4*b^3*x^3)/(3*a^5) + (5*b^4*x^2)/(2*a^6) + b^7/(a*(a^7*b + a^8*x))","B"
1620,1,83,81,0.050931,"\text{Not used}","int(x^4/(a + b/x)^2,x)","\frac{x^5}{5\,a^2}-\frac{6\,b^5\,\ln\left(b+a\,x\right)}{a^7}-\frac{b\,x^4}{2\,a^3}+\frac{5\,b^4\,x}{a^6}+\frac{b^2\,x^3}{a^4}-\frac{2\,b^3\,x^2}{a^5}-\frac{b^6}{a\,\left(x\,a^7+b\,a^6\right)}","Not used",1,"x^5/(5*a^2) - (6*b^5*log(b + a*x))/a^7 - (b*x^4)/(2*a^3) + (5*b^4*x)/a^6 + (b^2*x^3)/a^4 - (2*b^3*x^2)/a^5 - b^6/(a*(a^6*b + a^7*x))","B"
1621,1,72,72,0.048594,"\text{Not used}","int(x^3/(a + b/x)^2,x)","\frac{x^4}{4\,a^2}+\frac{5\,b^4\,\ln\left(b+a\,x\right)}{a^6}-\frac{2\,b\,x^3}{3\,a^3}-\frac{4\,b^3\,x}{a^5}+\frac{3\,b^2\,x^2}{2\,a^4}+\frac{b^5}{a\,\left(x\,a^6+b\,a^5\right)}","Not used",1,"x^4/(4*a^2) + (5*b^4*log(b + a*x))/a^6 - (2*b*x^3)/(3*a^3) - (4*b^3*x)/a^5 + (3*b^2*x^2)/(2*a^4) + b^5/(a*(a^5*b + a^6*x))","B"
1622,1,62,58,1.052612,"\text{Not used}","int(x^2/(a + b/x)^2,x)","\frac{x^3}{3\,a^2}-\frac{4\,b^3\,\ln\left(b+a\,x\right)}{a^5}-\frac{b\,x^2}{a^3}+\frac{3\,b^2\,x}{a^4}-\frac{b^4}{a\,\left(x\,a^5+b\,a^4\right)}","Not used",1,"x^3/(3*a^2) - (4*b^3*log(b + a*x))/a^5 - (b*x^2)/a^3 + (3*b^2*x)/a^4 - b^4/(a*(a^4*b + a^5*x))","B"
1623,1,50,46,0.044957,"\text{Not used}","int(x/(a + b/x)^2,x)","\frac{x^2}{2\,a^2}+\frac{3\,b^2\,\ln\left(b+a\,x\right)}{a^4}+\frac{b^3}{a\,\left(x\,a^4+b\,a^3\right)}-\frac{2\,b\,x}{a^3}","Not used",1,"x^2/(2*a^2) + (3*b^2*log(b + a*x))/a^4 + b^3/(a*(a^3*b + a^4*x)) - (2*b*x)/a^3","B"
1624,1,36,34,1.059881,"\text{Not used}","int(1/(a + b/x)^2,x)","\frac{x}{a^2}-\frac{b^2}{x\,a^4+b\,a^3}-\frac{2\,b\,\ln\left(b+a\,x\right)}{a^3}","Not used",1,"x/a^2 - b^2/(a^3*b + a^4*x) - (2*b*log(b + a*x))/a^3","B"
1625,1,23,23,1.063483,"\text{Not used}","int(1/(x*(a + b/x)^2),x)","\frac{\ln\left(b+a\,x\right)}{a^2}+\frac{b}{a^2\,\left(b+a\,x\right)}","Not used",1,"log(b + a*x)/a^2 + b/(a^2*(b + a*x))","B"
1626,1,12,13,0.031348,"\text{Not used}","int(1/(x^2*(a + b/x)^2),x)","-\frac{1}{a\,\left(b+a\,x\right)}","Not used",1,"-1/(a*(b + a*x))","B"
1627,1,26,29,0.044696,"\text{Not used}","int(1/(x^3*(a + b/x)^2),x)","\frac{1}{b^2+a\,x\,b}-\frac{2\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^2}","Not used",1,"1/(b^2 + a*b*x) - (2*atanh((2*a*x)/b + 1))/b^2","B"
1628,1,41,42,1.068031,"\text{Not used}","int(1/(x^4*(a + b/x)^2),x)","\frac{4\,a\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^3}-\frac{\frac{1}{b}+\frac{2\,a\,x}{b^2}}{a\,x^2+b\,x}","Not used",1,"(4*a*atanh((2*a*x)/b + 1))/b^3 - (1/b + (2*a*x)/b^2)/(b*x + a*x^2)","B"
1629,1,57,58,1.084412,"\text{Not used}","int(1/(x^5*(a + b/x)^2),x)","\frac{\frac{3\,a^2\,x^2}{b^3}-\frac{1}{2\,b}+\frac{3\,a\,x}{2\,b^2}}{a\,x^3+b\,x^2}-\frac{6\,a^2\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^4}","Not used",1,"((3*a^2*x^2)/b^3 - 1/(2*b) + (3*a*x)/(2*b^2))/(a*x^3 + b*x^2) - (6*a^2*atanh((2*a*x)/b + 1))/b^4","B"
1630,1,69,69,0.080926,"\text{Not used}","int(1/(x^6*(a + b/x)^2),x)","\frac{8\,a^3\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^5}-\frac{\frac{1}{3\,b}+\frac{2\,a^2\,x^2}{b^3}+\frac{4\,a^3\,x^3}{b^4}-\frac{2\,a\,x}{3\,b^2}}{a\,x^4+b\,x^3}","Not used",1,"(8*a^3*atanh((2*a*x)/b + 1))/b^5 - (1/(3*b) + (2*a^2*x^2)/b^3 + (4*a^3*x^3)/b^4 - (2*a*x)/(3*b^2))/(a*x^4 + b*x^3)","B"
1631,1,79,84,1.100143,"\text{Not used}","int(1/(x^7*(a + b/x)^2),x)","\frac{\frac{5\,a^3\,x^3}{2\,b^4}-\frac{5\,a^2\,x^2}{6\,b^3}-\frac{1}{4\,b}+\frac{5\,a^4\,x^4}{b^5}+\frac{5\,a\,x}{12\,b^2}}{a\,x^5+b\,x^4}-\frac{10\,a^4\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^6}","Not used",1,"((5*a^3*x^3)/(2*b^4) - (5*a^2*x^2)/(6*b^3) - 1/(4*b) + (5*a^4*x^4)/b^5 + (5*a*x)/(12*b^2))/(a*x^5 + b*x^4) - (10*a^4*atanh((2*a*x)/b + 1))/b^6","B"
1632,1,91,94,1.101411,"\text{Not used}","int(1/(x^8*(a + b/x)^2),x)","\frac{12\,a^5\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^7}-\frac{\frac{1}{5\,b}+\frac{a^2\,x^2}{2\,b^3}-\frac{a^3\,x^3}{b^4}+\frac{3\,a^4\,x^4}{b^5}+\frac{6\,a^5\,x^5}{b^6}-\frac{3\,a\,x}{10\,b^2}}{a\,x^6+b\,x^5}","Not used",1,"(12*a^5*atanh((2*a*x)/b + 1))/b^7 - (1/(5*b) + (a^2*x^2)/(2*b^3) - (a^3*x^3)/b^4 + (3*a^4*x^4)/b^5 + (6*a^5*x^5)/b^6 - (3*a*x)/(10*b^2))/(a*x^6 + b*x^5)","B"
1633,1,104,99,1.085955,"\text{Not used}","int(x^4/(a + b/x)^3,x)","\frac{x^5}{5\,a^3}-\frac{7\,b^6\,x+\frac{13\,b^7}{2\,a}}{a^9\,x^2+2\,a^8\,b\,x+a^7\,b^2}-\frac{21\,b^5\,\ln\left(b+a\,x\right)}{a^8}-\frac{3\,b\,x^4}{4\,a^4}+\frac{15\,b^4\,x}{a^7}+\frac{2\,b^2\,x^3}{a^5}-\frac{5\,b^3\,x^2}{a^6}","Not used",1,"x^5/(5*a^3) - (7*b^6*x + (13*b^7)/(2*a))/(a^7*b^2 + a^9*x^2 + 2*a^8*b*x) - (21*b^5*log(b + a*x))/a^8 - (3*b*x^4)/(4*a^4) + (15*b^4*x)/a^7 + (2*b^2*x^3)/a^5 - (5*b^3*x^2)/a^6","B"
1634,1,92,86,0.055317,"\text{Not used}","int(x^3/(a + b/x)^3,x)","\frac{6\,b^5\,x+\frac{11\,b^6}{2\,a}}{a^8\,x^2+2\,a^7\,b\,x+a^6\,b^2}+\frac{x^4}{4\,a^3}+\frac{15\,b^4\,\ln\left(b+a\,x\right)}{a^7}-\frac{b\,x^3}{a^4}-\frac{10\,b^3\,x}{a^6}+\frac{3\,b^2\,x^2}{a^5}","Not used",1,"(6*b^5*x + (11*b^6)/(2*a))/(a^6*b^2 + a^8*x^2 + 2*a^7*b*x) + x^4/(4*a^3) + (15*b^4*log(b + a*x))/a^7 - (b*x^3)/a^4 - (10*b^3*x)/a^6 + (3*b^2*x^2)/a^5","B"
1635,1,82,77,0.050098,"\text{Not used}","int(x^2/(a + b/x)^3,x)","\frac{x^3}{3\,a^3}-\frac{5\,b^4\,x+\frac{9\,b^5}{2\,a}}{a^7\,x^2+2\,a^6\,b\,x+a^5\,b^2}-\frac{10\,b^3\,\ln\left(b+a\,x\right)}{a^6}-\frac{3\,b\,x^2}{2\,a^4}+\frac{6\,b^2\,x}{a^5}","Not used",1,"x^3/(3*a^3) - (5*b^4*x + (9*b^5)/(2*a))/(a^5*b^2 + a^7*x^2 + 2*a^6*b*x) - (10*b^3*log(b + a*x))/a^6 - (3*b*x^2)/(2*a^4) + (6*b^2*x)/a^5","B"
1636,1,70,64,1.072274,"\text{Not used}","int(x/(a + b/x)^3,x)","\frac{4\,b^3\,x+\frac{7\,b^4}{2\,a}}{a^6\,x^2+2\,a^5\,b\,x+a^4\,b^2}+\frac{x^2}{2\,a^3}+\frac{6\,b^2\,\ln\left(b+a\,x\right)}{a^5}-\frac{3\,b\,x}{a^4}","Not used",1,"(4*b^3*x + (7*b^4)/(2*a))/(a^4*b^2 + a^6*x^2 + 2*a^5*b*x) + x^2/(2*a^3) + (6*b^2*log(b + a*x))/a^5 - (3*b*x)/a^4","B"
1637,1,59,53,0.060739,"\text{Not used}","int(1/(a + b/x)^3,x)","\frac{x}{a^3}-\frac{3\,b^2\,x+\frac{5\,b^3}{2\,a}}{a^5\,x^2+2\,a^4\,b\,x+a^3\,b^2}-\frac{3\,b\,\ln\left(b+a\,x\right)}{a^4}","Not used",1,"x/a^3 - (3*b^2*x + (5*b^3)/(2*a))/(a^3*b^2 + a^5*x^2 + 2*a^4*b*x) - (3*b*log(b + a*x))/a^4","B"
1638,1,46,41,1.074939,"\text{Not used}","int(1/(x*(a + b/x)^3),x)","\frac{\ln\left(b+a\,x\right)}{a^3}+\frac{\frac{3\,b^2}{2\,a^3}+\frac{2\,b\,x}{a^2}}{a^2\,x^2+2\,a\,b\,x+b^2}","Not used",1,"log(b + a*x)/a^3 + ((3*b^2)/(2*a^3) + (2*b*x)/a^2)/(b^2 + a^2*x^2 + 2*a*b*x)","B"
1639,1,32,16,1.056595,"\text{Not used}","int(1/(x^2*(a + b/x)^3),x)","-\frac{\frac{b}{2\,a^2}+\frac{x}{a}}{a^2\,x^2+2\,a\,b\,x+b^2}","Not used",1,"-(b/(2*a^2) + x/a)/(b^2 + a^2*x^2 + 2*a*b*x)","B"
1640,1,26,14,1.049091,"\text{Not used}","int(1/(x^3*(a + b/x)^3),x)","-\frac{1}{2\,a^3\,x^2+4\,a^2\,b\,x+2\,a\,b^2}","Not used",1,"-1/(2*a*b^2 + 2*a^3*x^2 + 4*a^2*b*x)","B"
1641,1,47,43,1.076389,"\text{Not used}","int(1/(x^4*(a + b/x)^3),x)","\frac{\frac{3}{2\,b}+\frac{a\,x}{b^2}}{a^2\,x^2+2\,a\,b\,x+b^2}-\frac{2\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^3}","Not used",1,"(3/(2*b) + (a*x)/b^2)/(b^2 + a^2*x^2 + 2*a*b*x) - (2*atanh((2*a*x)/b + 1))/b^3","B"
1642,1,63,57,0.080268,"\text{Not used}","int(1/(x^5*(a + b/x)^3),x)","\frac{6\,a\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^4}-\frac{\frac{1}{b}+\frac{3\,a^2\,x^2}{b^3}+\frac{9\,a\,x}{2\,b^2}}{a^2\,x^3+2\,a\,b\,x^2+b^2\,x}","Not used",1,"(6*a*atanh((2*a*x)/b + 1))/b^4 - (1/b + (3*a^2*x^2)/b^3 + (9*a*x)/(2*b^2))/(b^2*x + a^2*x^3 + 2*a*b*x^2)","B"
1643,1,79,76,0.087402,"\text{Not used}","int(1/(x^6*(a + b/x)^3),x)","\frac{\frac{9\,a^2\,x^2}{b^3}-\frac{1}{2\,b}+\frac{6\,a^3\,x^3}{b^4}+\frac{2\,a\,x}{b^2}}{a^2\,x^4+2\,a\,b\,x^3+b^2\,x^2}-\frac{12\,a^2\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^5}","Not used",1,"((9*a^2*x^2)/b^3 - 1/(2*b) + (6*a^3*x^3)/b^4 + (2*a*x)/b^2)/(a^2*x^4 + b^2*x^2 + 2*a*b*x^3) - (12*a^2*atanh((2*a*x)/b + 1))/b^5","B"
1644,1,91,89,0.091487,"\text{Not used}","int(1/(x^7*(a + b/x)^3),x)","\frac{20\,a^3\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^6}-\frac{\frac{1}{3\,b}+\frac{10\,a^2\,x^2}{3\,b^3}+\frac{15\,a^3\,x^3}{b^4}+\frac{10\,a^4\,x^4}{b^5}-\frac{5\,a\,x}{6\,b^2}}{a^2\,x^5+2\,a\,b\,x^4+b^2\,x^3}","Not used",1,"(20*a^3*atanh((2*a*x)/b + 1))/b^6 - (1/(3*b) + (10*a^2*x^2)/(3*b^3) + (15*a^3*x^3)/b^4 + (10*a^4*x^4)/b^5 - (5*a*x)/(6*b^2))/(a^2*x^5 + b^2*x^3 + 2*a*b*x^4)","B"
1645,1,101,97,1.132471,"\text{Not used}","int(1/(x^8*(a + b/x)^3),x)","\frac{\frac{5\,a^3\,x^3}{b^4}-\frac{5\,a^2\,x^2}{4\,b^3}-\frac{1}{4\,b}+\frac{45\,a^4\,x^4}{2\,b^5}+\frac{15\,a^5\,x^5}{b^6}+\frac{a\,x}{2\,b^2}}{a^2\,x^6+2\,a\,b\,x^5+b^2\,x^4}-\frac{30\,a^4\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^7}","Not used",1,"((5*a^3*x^3)/b^4 - (5*a^2*x^2)/(4*b^3) - 1/(4*b) + (45*a^4*x^4)/(2*b^5) + (15*a^5*x^5)/b^6 + (a*x)/(2*b^2))/(a^2*x^6 + b^2*x^4 + 2*a*b*x^5) - (30*a^4*atanh((2*a*x)/b + 1))/b^7","B"
1646,1,113,111,1.176494,"\text{Not used}","int(1/(x^9*(a + b/x)^3),x)","\frac{42\,a^5\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^8}-\frac{\frac{1}{5\,b}+\frac{7\,a^2\,x^2}{10\,b^3}-\frac{7\,a^3\,x^3}{4\,b^4}+\frac{7\,a^4\,x^4}{b^5}+\frac{63\,a^5\,x^5}{2\,b^6}+\frac{21\,a^6\,x^6}{b^7}-\frac{7\,a\,x}{20\,b^2}}{a^2\,x^7+2\,a\,b\,x^6+b^2\,x^5}","Not used",1,"(42*a^5*atanh((2*a*x)/b + 1))/b^8 - (1/(5*b) + (7*a^2*x^2)/(10*b^3) - (7*a^3*x^3)/(4*b^4) + (7*a^4*x^4)/b^5 + (63*a^5*x^5)/(2*b^6) + (21*a^6*x^6)/b^7 - (7*a*x)/(20*b^2))/(a^2*x^7 + b^2*x^5 + 2*a*b*x^6)","B"
1647,1,13,21,1.073527,"\text{Not used}","int(x^(5/2)*(a + b/x),x)","\frac{2\,x^{5/2}\,\left(7\,b+5\,a\,x\right)}{35}","Not used",1,"(2*x^(5/2)*(7*b + 5*a*x))/35","B"
1648,1,13,21,0.026978,"\text{Not used}","int(x^(3/2)*(a + b/x),x)","\frac{2\,x^{3/2}\,\left(5\,b+3\,a\,x\right)}{15}","Not used",1,"(2*x^(3/2)*(5*b + 3*a*x))/15","B"
1649,1,12,19,0.026797,"\text{Not used}","int(x^(1/2)*(a + b/x),x)","\frac{2\,\sqrt{x}\,\left(3\,b+a\,x\right)}{3}","Not used",1,"(2*x^(1/2)*(3*b + a*x))/3","B"
1650,1,11,17,0.030130,"\text{Not used}","int((a + b/x)/x^(1/2),x)","-\frac{2\,\left(b-a\,x\right)}{\sqrt{x}}","Not used",1,"-(2*(b - a*x))/x^(1/2)","B"
1651,1,13,19,0.027760,"\text{Not used}","int((a + b/x)/x^(3/2),x)","-\frac{2\,b+6\,a\,x}{3\,x^{3/2}}","Not used",1,"-(2*b + 6*a*x)/(3*x^(3/2))","B"
1652,1,13,21,0.029199,"\text{Not used}","int((a + b/x)/x^(5/2),x)","-\frac{6\,b+10\,a\,x}{15\,x^{5/2}}","Not used",1,"-(6*b + 10*a*x)/(15*x^(5/2))","B"
1653,1,24,36,0.050740,"\text{Not used}","int(x^(5/2)*(a + b/x)^2,x)","\frac{2\,x^{3/2}\,\left(15\,a^2\,x^2+42\,a\,b\,x+35\,b^2\right)}{105}","Not used",1,"(2*x^(3/2)*(35*b^2 + 15*a^2*x^2 + 42*a*b*x))/105","B"
1654,1,24,34,0.036660,"\text{Not used}","int(x^(3/2)*(a + b/x)^2,x)","\frac{2\,\sqrt{x}\,\left(3\,a^2\,x^2+10\,a\,b\,x+15\,b^2\right)}{15}","Not used",1,"(2*x^(1/2)*(15*b^2 + 3*a^2*x^2 + 10*a*b*x))/15","B"
1655,1,24,32,0.037829,"\text{Not used}","int(x^(1/2)*(a + b/x)^2,x)","\frac{2\,a^2\,x^2+12\,a\,b\,x-6\,b^2}{3\,\sqrt{x}}","Not used",1,"(2*a^2*x^2 - 6*b^2 + 12*a*b*x)/(3*x^(1/2))","B"
1656,1,24,32,1.082431,"\text{Not used}","int((a + b/x)^2/x^(1/2),x)","-\frac{-6\,a^2\,x^2+12\,a\,b\,x+2\,b^2}{3\,x^{3/2}}","Not used",1,"-(2*b^2 - 6*a^2*x^2 + 12*a*b*x)/(3*x^(3/2))","B"
1657,1,24,34,0.027728,"\text{Not used}","int((a + b/x)^2/x^(3/2),x)","-\frac{30\,a^2\,x^2+20\,a\,b\,x+6\,b^2}{15\,x^{5/2}}","Not used",1,"-(6*b^2 + 30*a^2*x^2 + 20*a*b*x)/(15*x^(5/2))","B"
1658,1,24,36,0.030584,"\text{Not used}","int((a + b/x)^2/x^(5/2),x)","-\frac{70\,a^2\,x^2+84\,a\,b\,x+30\,b^2}{105\,x^{7/2}}","Not used",1,"-(30*b^2 + 70*a^2*x^2 + 84*a*b*x)/(105*x^(7/2))","B"
1659,1,35,47,0.046228,"\text{Not used}","int(x^(5/2)*(a + b/x)^3,x)","\frac{2\,a^3\,x^{7/2}}{7}+2\,b^3\,\sqrt{x}+2\,a\,b^2\,x^{3/2}+\frac{6\,a^2\,b\,x^{5/2}}{5}","Not used",1,"(2*a^3*x^(7/2))/7 + 2*b^3*x^(1/2) + 2*a*b^2*x^(3/2) + (6*a^2*b*x^(5/2))/5","B"
1660,1,35,45,0.046584,"\text{Not used}","int(x^(3/2)*(a + b/x)^3,x)","\frac{2\,a^3\,x^{5/2}}{5}-\frac{2\,b^3}{\sqrt{x}}+6\,a\,b^2\,\sqrt{x}+2\,a^2\,b\,x^{3/2}","Not used",1,"(2*a^3*x^(5/2))/5 - (2*b^3)/x^(1/2) + 6*a*b^2*x^(1/2) + 2*a^2*b*x^(3/2)","B"
1661,1,35,47,1.082951,"\text{Not used}","int(x^(1/2)*(a + b/x)^3,x)","-\frac{-2\,a^3\,x^3-18\,a^2\,b\,x^2+18\,a\,b^2\,x+2\,b^3}{3\,x^{3/2}}","Not used",1,"-(2*b^3 - 2*a^3*x^3 - 18*a^2*b*x^2 + 18*a*b^2*x)/(3*x^(3/2))","B"
1662,1,35,45,1.072220,"\text{Not used}","int((a + b/x)^3/x^(1/2),x)","-\frac{-10\,a^3\,x^3+30\,a^2\,b\,x^2+10\,a\,b^2\,x+2\,b^3}{5\,x^{5/2}}","Not used",1,"-(2*b^3 - 10*a^3*x^3 + 30*a^2*b*x^2 + 10*a*b^2*x)/(5*x^(5/2))","B"
1663,1,35,47,0.033295,"\text{Not used}","int((a + b/x)^3/x^(3/2),x)","-\frac{70\,a^3\,x^3+70\,a^2\,b\,x^2+42\,a\,b^2\,x+10\,b^3}{35\,x^{7/2}}","Not used",1,"-(10*b^3 + 70*a^3*x^3 + 70*a^2*b*x^2 + 42*a*b^2*x)/(35*x^(7/2))","B"
1664,1,35,51,0.036505,"\text{Not used}","int((a + b/x)^3/x^(5/2),x)","-\frac{210\,a^3\,x^3+378\,a^2\,b\,x^2+270\,a\,b^2\,x+70\,b^3}{315\,x^{9/2}}","Not used",1,"-(70*b^3 + 210*a^3*x^3 + 378*a^2*b*x^2 + 270*a*b^2*x)/(315*x^(9/2))","B"
1665,1,59,83,0.036581,"\text{Not used}","int(x^(5/2)/(a + b/x),x)","\frac{2\,x^{7/2}}{7\,a}-\frac{2\,b\,x^{5/2}}{5\,a^2}+\frac{2\,b^2\,x^{3/2}}{3\,a^3}-\frac{2\,b^3\,\sqrt{x}}{a^4}+\frac{2\,b^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{a^{9/2}}","Not used",1,"(2*x^(7/2))/(7*a) - (2*b*x^(5/2))/(5*a^2) + (2*b^2*x^(3/2))/(3*a^3) - (2*b^3*x^(1/2))/a^4 + (2*b^(7/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/a^(9/2)","B"
1666,1,48,68,0.052024,"\text{Not used}","int(x^(3/2)/(a + b/x),x)","\frac{2\,x^{5/2}}{5\,a}-\frac{2\,b\,x^{3/2}}{3\,a^2}+\frac{2\,b^2\,\sqrt{x}}{a^3}-\frac{2\,b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{a^{7/2}}","Not used",1,"(2*x^(5/2))/(5*a) - (2*b*x^(3/2))/(3*a^2) + (2*b^2*x^(1/2))/a^3 - (2*b^(5/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/a^(7/2)","B"
1667,1,37,53,0.053807,"\text{Not used}","int(x^(1/2)/(a + b/x),x)","\frac{2\,x^{3/2}}{3\,a}-\frac{2\,b\,\sqrt{x}}{a^2}+\frac{2\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{a^{5/2}}","Not used",1,"(2*x^(3/2))/(3*a) - (2*b*x^(1/2))/a^2 + (2*b^(3/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/a^(5/2)","B"
1668,1,28,40,0.042206,"\text{Not used}","int(1/(x^(1/2)*(a + b/x)),x)","\frac{2\,\sqrt{x}}{a}-\frac{2\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{a^{3/2}}","Not used",1,"(2*x^(1/2))/a - (2*b^(1/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/a^(3/2)","B"
1669,1,19,29,1.063858,"\text{Not used}","int(1/(x^(3/2)*(a + b/x)),x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{\sqrt{a}\,\sqrt{b}}","Not used",1,"(2*atan((a^(1/2)*x^(1/2))/b^(1/2)))/(a^(1/2)*b^(1/2))","B"
1670,1,28,40,0.055736,"\text{Not used}","int(1/(x^(5/2)*(a + b/x)),x)","-\frac{2}{b\,\sqrt{x}}-\frac{2\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{b^{3/2}}","Not used",1,"- 2/(b*x^(1/2)) - (2*a^(1/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/b^(3/2)","B"
1671,1,38,53,0.064330,"\text{Not used}","int(1/(x^(7/2)*(a + b/x)),x)","\frac{2\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{b^{5/2}}-\frac{\frac{2}{3\,b}-\frac{2\,a\,x}{b^2}}{x^{3/2}}","Not used",1,"(2*a^(3/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/b^(5/2) - (2/(3*b) - (2*a*x)/b^2)/x^(3/2)","B"
1672,1,49,68,0.057322,"\text{Not used}","int(1/(x^(9/2)*(a + b/x)),x)","-\frac{\frac{2}{5\,b}+\frac{2\,a^2\,x^2}{b^3}-\frac{2\,a\,x}{3\,b^2}}{x^{5/2}}-\frac{2\,a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{b^{7/2}}","Not used",1,"- (2/(5*b) + (2*a^2*x^2)/b^3 - (2*a*x)/(3*b^2))/x^(5/2) - (2*a^(5/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/b^(7/2)","B"
1673,1,80,98,1.078670,"\text{Not used}","int(x^(5/2)/(a + b/x)^2,x)","\frac{2\,x^{7/2}}{7\,a^2}-\frac{4\,b\,x^{5/2}}{5\,a^3}+\frac{2\,b^2\,x^{3/2}}{a^4}-\frac{8\,b^3\,\sqrt{x}}{a^5}-\frac{b^4\,\sqrt{x}}{x\,a^6+b\,a^5}+\frac{9\,b^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{a^{11/2}}","Not used",1,"(2*x^(7/2))/(7*a^2) - (4*b*x^(5/2))/(5*a^3) + (2*b^2*x^(3/2))/a^4 - (8*b^3*x^(1/2))/a^5 - (b^4*x^(1/2))/(a^5*b + a^6*x) + (9*b^(7/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/a^(11/2)","B"
1674,1,68,85,0.038074,"\text{Not used}","int(x^(3/2)/(a + b/x)^2,x)","\frac{2\,x^{5/2}}{5\,a^2}-\frac{4\,b\,x^{3/2}}{3\,a^3}+\frac{6\,b^2\,\sqrt{x}}{a^4}+\frac{b^3\,\sqrt{x}}{x\,a^5+b\,a^4}-\frac{7\,b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{a^{9/2}}","Not used",1,"(2*x^(5/2))/(5*a^2) - (4*b*x^(3/2))/(3*a^3) + (6*b^2*x^(1/2))/a^4 + (b^3*x^(1/2))/(a^4*b + a^5*x) - (7*b^(5/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/a^(9/2)","B"
1675,1,58,70,0.058518,"\text{Not used}","int(x^(1/2)/(a + b/x)^2,x)","\frac{2\,x^{3/2}}{3\,a^2}-\frac{4\,b\,\sqrt{x}}{a^3}-\frac{b^2\,\sqrt{x}}{x\,a^4+b\,a^3}+\frac{5\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{a^{7/2}}","Not used",1,"(2*x^(3/2))/(3*a^2) - (4*b*x^(1/2))/a^3 - (b^2*x^(1/2))/(a^3*b + a^4*x) + (5*b^(3/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/a^(7/2)","B"
1676,1,46,57,1.100406,"\text{Not used}","int(1/(x^(1/2)*(a + b/x)^2),x)","\frac{2\,\sqrt{x}}{a^2}+\frac{b\,\sqrt{x}}{x\,a^3+b\,a^2}-\frac{3\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{a^{5/2}}","Not used",1,"(2*x^(1/2))/a^2 + (b*x^(1/2))/(a^2*b + a^3*x) - (3*b^(1/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/a^(5/2)","B"
1677,1,34,46,0.042966,"\text{Not used}","int(1/(x^(3/2)*(a + b/x)^2),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{a^{3/2}\,\sqrt{b}}-\frac{\sqrt{x}}{a\,\left(b+a\,x\right)}","Not used",1,"atan((a^(1/2)*x^(1/2))/b^(1/2))/(a^(3/2)*b^(1/2)) - x^(1/2)/(a*(b + a*x))","B"
1678,1,33,45,1.096315,"\text{Not used}","int(1/(x^(5/2)*(a + b/x)^2),x)","\frac{\sqrt{x}}{b\,\left(b+a\,x\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{\sqrt{a}\,b^{3/2}}","Not used",1,"x^(1/2)/(b*(b + a*x)) + atan((a^(1/2)*x^(1/2))/b^(1/2))/(a^(1/2)*b^(3/2))","B"
1679,1,48,56,1.126317,"\text{Not used}","int(1/(x^(7/2)*(a + b/x)^2),x)","-\frac{\frac{2}{b}+\frac{3\,a\,x}{b^2}}{a\,x^{3/2}+b\,\sqrt{x}}-\frac{3\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{b^{5/2}}","Not used",1,"- (2/b + (3*a*x)/b^2)/(a*x^(3/2) + b*x^(1/2)) - (3*a^(1/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/b^(5/2)","B"
1680,1,58,69,1.136100,"\text{Not used}","int(1/(x^(9/2)*(a + b/x)^2),x)","\frac{\frac{5\,a^2\,x^2}{b^3}-\frac{2}{3\,b}+\frac{10\,a\,x}{3\,b^2}}{a\,x^{5/2}+b\,x^{3/2}}+\frac{5\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{b^{7/2}}","Not used",1,"((5*a^2*x^2)/b^3 - 2/(3*b) + (10*a*x)/(3*b^2))/(a*x^(5/2) + b*x^(3/2)) + (5*a^(3/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/b^(7/2)","B"
1681,1,70,84,1.150936,"\text{Not used}","int(1/(x^(11/2)*(a + b/x)^2),x)","-\frac{\frac{2}{5\,b}+\frac{14\,a^2\,x^2}{3\,b^3}+\frac{7\,a^3\,x^3}{b^4}-\frac{14\,a\,x}{15\,b^2}}{a\,x^{7/2}+b\,x^{5/2}}-\frac{7\,a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{b^{9/2}}","Not used",1,"- (2/(5*b) + (14*a^2*x^2)/(3*b^3) + (7*a^3*x^3)/b^4 - (14*a*x)/(15*b^2))/(a*x^(7/2) + b*x^(5/2)) - (7*a^(5/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/b^(9/2)","B"
1682,1,91,110,1.084186,"\text{Not used}","int(x^(3/2)/(a + b/x)^3,x)","\frac{\frac{15\,b^4\,\sqrt{x}}{4}+\frac{17\,a\,b^3\,x^{3/2}}{4}}{a^7\,x^2+2\,a^6\,b\,x+a^5\,b^2}+\frac{2\,x^{5/2}}{5\,a^3}-\frac{2\,b\,x^{3/2}}{a^4}+\frac{12\,b^2\,\sqrt{x}}{a^5}-\frac{63\,b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{4\,a^{11/2}}","Not used",1,"((15*b^4*x^(1/2))/4 + (17*a*b^3*x^(3/2))/4)/(a^5*b^2 + a^7*x^2 + 2*a^6*b*x) + (2*x^(5/2))/(5*a^3) - (2*b*x^(3/2))/a^4 + (12*b^2*x^(1/2))/a^5 - (63*b^(5/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/(4*a^(11/2))","B"
1683,1,81,95,0.068611,"\text{Not used}","int(x^(1/2)/(a + b/x)^3,x)","\frac{2\,x^{3/2}}{3\,a^3}-\frac{\frac{11\,b^3\,\sqrt{x}}{4}+\frac{13\,a\,b^2\,x^{3/2}}{4}}{a^6\,x^2+2\,a^5\,b\,x+a^4\,b^2}-\frac{6\,b\,\sqrt{x}}{a^4}+\frac{35\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{4\,a^{9/2}}","Not used",1,"(2*x^(3/2))/(3*a^3) - ((11*b^3*x^(1/2))/4 + (13*a*b^2*x^(3/2))/4)/(a^4*b^2 + a^6*x^2 + 2*a^5*b*x) - (6*b*x^(1/2))/a^4 + (35*b^(3/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/(4*a^(9/2))","B"
1684,1,69,82,0.083070,"\text{Not used}","int(1/(x^(1/2)*(a + b/x)^3),x)","\frac{\frac{7\,b^2\,\sqrt{x}}{4}+\frac{9\,a\,b\,x^{3/2}}{4}}{a^5\,x^2+2\,a^4\,b\,x+a^3\,b^2}+\frac{2\,\sqrt{x}}{a^3}-\frac{15\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{4\,a^{7/2}}","Not used",1,"((7*b^2*x^(1/2))/4 + (9*a*b*x^(3/2))/4)/(a^3*b^2 + a^5*x^2 + 2*a^4*b*x) + (2*x^(1/2))/a^3 - (15*b^(1/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/(4*a^(7/2))","B"
1685,1,58,70,1.119983,"\text{Not used}","int(1/(x^(3/2)*(a + b/x)^3),x)","\frac{3\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{4\,a^{5/2}\,\sqrt{b}}-\frac{\frac{5\,x^{3/2}}{4\,a}+\frac{3\,b\,\sqrt{x}}{4\,a^2}}{a^2\,x^2+2\,a\,b\,x+b^2}","Not used",1,"(3*atan((a^(1/2)*x^(1/2))/b^(1/2)))/(4*a^(5/2)*b^(1/2)) - ((5*x^(3/2))/(4*a) + (3*b*x^(1/2))/(4*a^2))/(b^2 + a^2*x^2 + 2*a*b*x)","B"
1686,1,57,73,1.125090,"\text{Not used}","int(1/(x^(5/2)*(a + b/x)^3),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{4\,a^{3/2}\,b^{3/2}}-\frac{\frac{\sqrt{x}}{4\,a}-\frac{x^{3/2}}{4\,b}}{a^2\,x^2+2\,a\,b\,x+b^2}","Not used",1,"atan((a^(1/2)*x^(1/2))/b^(1/2))/(4*a^(3/2)*b^(3/2)) - (x^(1/2)/(4*a) - x^(3/2)/(4*b))/(b^2 + a^2*x^2 + 2*a*b*x)","B"
1687,1,57,70,1.104431,"\text{Not used}","int(1/(x^(7/2)*(a + b/x)^3),x)","\frac{\frac{5\,\sqrt{x}}{4\,b}+\frac{3\,a\,x^{3/2}}{4\,b^2}}{a^2\,x^2+2\,a\,b\,x+b^2}+\frac{3\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{4\,\sqrt{a}\,b^{5/2}}","Not used",1,"((5*x^(1/2))/(4*b) + (3*a*x^(3/2))/(4*b^2))/(b^2 + a^2*x^2 + 2*a*b*x) + (3*atan((a^(1/2)*x^(1/2))/b^(1/2)))/(4*a^(1/2)*b^(5/2))","B"
1688,1,70,82,1.131594,"\text{Not used}","int(1/(x^(9/2)*(a + b/x)^3),x)","-\frac{\frac{2}{b}+\frac{15\,a^2\,x^2}{4\,b^3}+\frac{25\,a\,x}{4\,b^2}}{a^2\,x^{5/2}+b^2\,\sqrt{x}+2\,a\,b\,x^{3/2}}-\frac{15\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{4\,b^{7/2}}","Not used",1,"- (2/b + (15*a^2*x^2)/(4*b^3) + (25*a*x)/(4*b^2))/(a^2*x^(5/2) + b^2*x^(1/2) + 2*a*b*x^(3/2)) - (15*a^(1/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/(4*b^(7/2))","B"
1689,1,80,95,0.104030,"\text{Not used}","int(1/(x^(11/2)*(a + b/x)^3),x)","\frac{\frac{175\,a^2\,x^2}{12\,b^3}-\frac{2}{3\,b}+\frac{35\,a^3\,x^3}{4\,b^4}+\frac{14\,a\,x}{3\,b^2}}{a^2\,x^{7/2}+b^2\,x^{3/2}+2\,a\,b\,x^{5/2}}+\frac{35\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{4\,b^{9/2}}","Not used",1,"((175*a^2*x^2)/(12*b^3) - 2/(3*b) + (35*a^3*x^3)/(4*b^4) + (14*a*x)/(3*b^2))/(a^2*x^(7/2) + b^2*x^(3/2) + 2*a*b*x^(5/2)) + (35*a^(3/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/(4*b^(9/2))","B"
1690,1,92,110,1.177053,"\text{Not used}","int(1/(x^(13/2)*(a + b/x)^3),x)","-\frac{\frac{2}{5\,b}+\frac{42\,a^2\,x^2}{5\,b^3}+\frac{105\,a^3\,x^3}{4\,b^4}+\frac{63\,a^4\,x^4}{4\,b^5}-\frac{6\,a\,x}{5\,b^2}}{a^2\,x^{9/2}+b^2\,x^{5/2}+2\,a\,b\,x^{7/2}}-\frac{63\,a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,\sqrt{x}}{\sqrt{b}}\right)}{4\,b^{11/2}}","Not used",1,"- (2/(5*b) + (42*a^2*x^2)/(5*b^3) + (105*a^3*x^3)/(4*b^4) + (63*a^4*x^4)/(4*b^5) - (6*a*x)/(5*b^2))/(a^2*x^(9/2) + b^2*x^(5/2) + 2*a*b*x^(7/2)) - (63*a^(5/2)*atan((a^(1/2)*x^(1/2))/b^(1/2)))/(4*b^(11/2))","B"
1691,1,91,117,1.705761,"\text{Not used}","int(x^3*(a + b/x)^(1/2),x)","\frac{5\,x^4\,\sqrt{a+\frac{b}{x}}}{64}+\frac{73\,x^4\,{\left(a+\frac{b}{x}\right)}^{3/2}}{192\,a}-\frac{55\,x^4\,{\left(a+\frac{b}{x}\right)}^{5/2}}{192\,a^2}+\frac{5\,x^4\,{\left(a+\frac{b}{x}\right)}^{7/2}}{64\,a^3}+\frac{b^4\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{64\,a^{7/2}}","Not used",1,"(5*x^4*(a + b/x)^(1/2))/64 + (b^4*atan(((a + b/x)^(1/2)*1i)/a^(1/2))*5i)/(64*a^(7/2)) + (73*x^4*(a + b/x)^(3/2))/(192*a) - (55*x^4*(a + b/x)^(5/2))/(192*a^2) + (5*x^4*(a + b/x)^(7/2))/(64*a^3)","B"
1692,1,74,93,1.347533,"\text{Not used}","int(x^2*(a + b/x)^(1/2),x)","\frac{x^3\,\sqrt{a+\frac{b}{x}}}{8}+\frac{x^3\,{\left(a+\frac{b}{x}\right)}^{3/2}}{3\,a}-\frac{x^3\,{\left(a+\frac{b}{x}\right)}^{5/2}}{8\,a^2}-\frac{b^3\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}}{8\,a^{5/2}}","Not used",1,"(x^3*(a + b/x)^(1/2))/8 - (b^3*atan(((a + b/x)^(1/2)*1i)/a^(1/2))*1i)/(8*a^(5/2)) + (x^3*(a + b/x)^(3/2))/(3*a) - (x^3*(a + b/x)^(5/2))/(8*a^2)","B"
1693,1,54,69,1.199406,"\text{Not used}","int(x*(a + b/x)^(1/2),x)","\frac{x^2\,\sqrt{a+\frac{b}{x}}}{4}-\frac{b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x}}}{\sqrt{a}}\right)}{4\,a^{3/2}}+\frac{x^2\,{\left(a+\frac{b}{x}\right)}^{3/2}}{4\,a}","Not used",1,"(x^2*(a + b/x)^(1/2))/4 - (b^2*atanh((a + b/x)^(1/2)/a^(1/2)))/(4*a^(3/2)) + (x^2*(a + b/x)^(3/2))/(4*a)","B"
1694,1,58,39,0.092944,"\text{Not used}","int((a + b/x)^(1/2),x)","x\,\sqrt{a\,x^2+b\,x}\,\sqrt{\frac{1}{x^2}}+\frac{b\,x\,\ln\left(\frac{\frac{b}{2}+a\,x+\sqrt{a}\,\sqrt{a\,x^2+b\,x}}{\sqrt{a}}\right)\,\sqrt{\frac{1}{x^2}}}{2\,\sqrt{a}}","Not used",1,"x*(b*x + a*x^2)^(1/2)*(1/x^2)^(1/2) + (b*x*log((b/2 + a*x + a^(1/2)*(b*x + a*x^2)^(1/2))/a^(1/2))*(1/x^2)^(1/2))/(2*a^(1/2))","B"
1695,1,31,39,1.497309,"\text{Not used}","int((a + b/x)^(1/2)/x,x)","2\,\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x}}}{\sqrt{a}}\right)-2\,\sqrt{a+\frac{b}{x}}","Not used",1,"2*a^(1/2)*atanh((a + b/x)^(1/2)/a^(1/2)) - 2*(a + b/x)^(1/2)","B"
1696,1,22,18,1.371276,"\text{Not used}","int((a + b/x)^(1/2)/x^2,x)","-\frac{2\,\sqrt{a+\frac{b}{x}}\,\left(b+a\,x\right)}{3\,b\,x}","Not used",1,"-(2*(a + b/x)^(1/2)*(b + a*x))/(3*b*x)","B"
1697,1,35,38,1.459568,"\text{Not used}","int((a + b/x)^(1/2)/x^3,x)","-\frac{2\,\sqrt{a+\frac{b}{x}}\,\left(-2\,a^2\,x^2+a\,b\,x+3\,b^2\right)}{15\,b^2\,x^2}","Not used",1,"-(2*(a + b/x)^(1/2)*(3*b^2 - 2*a^2*x^2 + a*b*x))/(15*b^2*x^2)","B"
1698,1,70,59,1.534543,"\text{Not used}","int((a + b/x)^(1/2)/x^4,x)","\frac{8\,a^2\,\sqrt{a+\frac{b}{x}}}{105\,b^2\,x}-\frac{16\,a^3\,\sqrt{a+\frac{b}{x}}}{105\,b^3}-\frac{2\,a\,\sqrt{a+\frac{b}{x}}}{35\,b\,x^2}-\frac{2\,\sqrt{a+\frac{b}{x}}}{7\,x^3}","Not used",1,"(8*a^2*(a + b/x)^(1/2))/(105*b^2*x) - (16*a^3*(a + b/x)^(1/2))/(105*b^3) - (2*a*(a + b/x)^(1/2))/(35*b*x^2) - (2*(a + b/x)^(1/2))/(7*x^3)","B"
1699,1,90,80,1.609616,"\text{Not used}","int((a + b/x)^(1/2)/x^5,x)","\frac{32\,a^4\,\sqrt{a+\frac{b}{x}}}{315\,b^4}-\frac{2\,\sqrt{a+\frac{b}{x}}}{9\,x^4}-\frac{2\,a\,\sqrt{a+\frac{b}{x}}}{63\,b\,x^3}+\frac{4\,a^2\,\sqrt{a+\frac{b}{x}}}{105\,b^2\,x^2}-\frac{16\,a^3\,\sqrt{a+\frac{b}{x}}}{315\,b^3\,x}","Not used",1,"(32*a^4*(a + b/x)^(1/2))/(315*b^4) - (2*(a + b/x)^(1/2))/(9*x^4) - (2*a*(a + b/x)^(1/2))/(63*b*x^3) + (4*a^2*(a + b/x)^(1/2))/(105*b^2*x^2) - (16*a^3*(a + b/x)^(1/2))/(315*b^3*x)","B"
1700,1,110,101,1.704844,"\text{Not used}","int((a + b/x)^(1/2)/x^6,x)","\frac{16\,a^2\,\sqrt{a+\frac{b}{x}}}{693\,b^2\,x^3}-\frac{256\,a^5\,\sqrt{a+\frac{b}{x}}}{3465\,b^5}-\frac{2\,a\,\sqrt{a+\frac{b}{x}}}{99\,b\,x^4}-\frac{2\,\sqrt{a+\frac{b}{x}}}{11\,x^5}-\frac{32\,a^3\,\sqrt{a+\frac{b}{x}}}{1155\,b^3\,x^2}+\frac{128\,a^4\,\sqrt{a+\frac{b}{x}}}{3465\,b^4\,x}","Not used",1,"(16*a^2*(a + b/x)^(1/2))/(693*b^2*x^3) - (256*a^5*(a + b/x)^(1/2))/(3465*b^5) - (2*a*(a + b/x)^(1/2))/(99*b*x^4) - (2*(a + b/x)^(1/2))/(11*x^5) - (32*a^3*(a + b/x)^(1/2))/(1155*b^3*x^2) + (128*a^4*(a + b/x)^(1/2))/(3465*b^4*x)","B"
1701,1,89,114,1.357243,"\text{Not used}","int(x^3*(a + b/x)^(3/2),x)","\frac{11\,x^4\,{\left(a+\frac{b}{x}\right)}^{3/2}}{64}-\frac{3\,a\,x^4\,\sqrt{a+\frac{b}{x}}}{64}+\frac{11\,x^4\,{\left(a+\frac{b}{x}\right)}^{5/2}}{64\,a}-\frac{3\,x^4\,{\left(a+\frac{b}{x}\right)}^{7/2}}{64\,a^2}-\frac{b^4\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,3{}\mathrm{i}}{64\,a^{5/2}}","Not used",1,"(11*x^4*(a + b/x)^(3/2))/64 - (b^4*atan(((a + b/x)^(1/2)*1i)/a^(1/2))*3i)/(64*a^(5/2)) - (3*a*x^4*(a + b/x)^(1/2))/64 + (11*x^4*(a + b/x)^(5/2))/(64*a) - (3*x^4*(a + b/x)^(7/2))/(64*a^2)","B"
1702,1,72,90,1.361402,"\text{Not used}","int(x^2*(a + b/x)^(3/2),x)","\frac{x^3\,{\left(a+\frac{b}{x}\right)}^{3/2}}{3}-\frac{a\,x^3\,\sqrt{a+\frac{b}{x}}}{8}+\frac{x^3\,{\left(a+\frac{b}{x}\right)}^{5/2}}{8\,a}+\frac{b^3\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}}{8\,a^{3/2}}","Not used",1,"(x^3*(a + b/x)^(3/2))/3 + (b^3*atan(((a + b/x)^(1/2)*1i)/a^(1/2))*1i)/(8*a^(3/2)) - (a*x^3*(a + b/x)^(1/2))/8 + (x^3*(a + b/x)^(5/2))/(8*a)","B"
1703,1,52,66,1.171075,"\text{Not used}","int(x*(a + b/x)^(3/2),x)","\frac{5\,x^2\,{\left(a+\frac{b}{x}\right)}^{3/2}}{4}+\frac{3\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x}}}{\sqrt{a}}\right)}{4\,\sqrt{a}}-\frac{3\,a\,x^2\,\sqrt{a+\frac{b}{x}}}{4}","Not used",1,"(5*x^2*(a + b/x)^(3/2))/4 + (3*b^2*atanh((a + b/x)^(1/2)/a^(1/2)))/(4*a^(1/2)) - (3*a*x^2*(a + b/x)^(1/2))/4","B"
1704,1,34,54,1.253014,"\text{Not used}","int((a + b/x)^(3/2),x)","-\frac{2\,x\,{\left(a+\frac{b}{x}\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},-\frac{1}{2};\ \frac{1}{2};\ -\frac{a\,x}{b}\right)}{{\left(\frac{a\,x}{b}+1\right)}^{3/2}}","Not used",1,"-(2*x*(a + b/x)^(3/2)*hypergeom([-3/2, -1/2], 1/2, -(a*x)/b))/((a*x)/b + 1)^(3/2)","B"
1705,1,43,55,1.507171,"\text{Not used}","int((a + b/x)^(3/2)/x,x)","2\,a^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x}}}{\sqrt{a}}\right)-2\,a\,\sqrt{a+\frac{b}{x}}-\frac{2\,{\left(a+\frac{b}{x}\right)}^{3/2}}{3}","Not used",1,"2*a^(3/2)*atanh((a + b/x)^(1/2)/a^(1/2)) - 2*a*(a + b/x)^(1/2) - (2*(a + b/x)^(3/2))/3","B"
1706,1,24,18,1.594183,"\text{Not used}","int((a + b/x)^(3/2)/x^2,x)","-\frac{2\,\sqrt{a+\frac{b}{x}}\,{\left(b+a\,x\right)}^2}{5\,b\,x^2}","Not used",1,"-(2*(a + b/x)^(1/2)*(b + a*x)^2)/(5*b*x^2)","B"
1707,1,68,38,1.730924,"\text{Not used}","int((a + b/x)^(3/2)/x^3,x)","\frac{4\,a^3\,\sqrt{a+\frac{b}{x}}}{35\,b^2}-\frac{2\,b\,\sqrt{a+\frac{b}{x}}}{7\,x^3}-\frac{16\,a\,\sqrt{a+\frac{b}{x}}}{35\,x^2}-\frac{2\,a^2\,\sqrt{a+\frac{b}{x}}}{35\,b\,x}","Not used",1,"(4*a^3*(a + b/x)^(1/2))/(35*b^2) - (2*b*(a + b/x)^(1/2))/(7*x^3) - (16*a*(a + b/x)^(1/2))/(35*x^2) - (2*a^2*(a + b/x)^(1/2))/(35*b*x)","B"
1708,1,88,59,1.891510,"\text{Not used}","int((a + b/x)^(3/2)/x^4,x)","\frac{8\,a^3\,\sqrt{a+\frac{b}{x}}}{315\,b^2\,x}-\frac{2\,b\,\sqrt{a+\frac{b}{x}}}{9\,x^4}-\frac{16\,a^4\,\sqrt{a+\frac{b}{x}}}{315\,b^3}-\frac{2\,a^2\,\sqrt{a+\frac{b}{x}}}{105\,b\,x^2}-\frac{20\,a\,\sqrt{a+\frac{b}{x}}}{63\,x^3}","Not used",1,"(8*a^3*(a + b/x)^(1/2))/(315*b^2*x) - (2*b*(a + b/x)^(1/2))/(9*x^4) - (16*a^4*(a + b/x)^(1/2))/(315*b^3) - (2*a^2*(a + b/x)^(1/2))/(105*b*x^2) - (20*a*(a + b/x)^(1/2))/(63*x^3)","B"
1709,1,108,80,2.094759,"\text{Not used}","int((a + b/x)^(3/2)/x^5,x)","\frac{32\,a^5\,\sqrt{a+\frac{b}{x}}}{1155\,b^4}-\frac{2\,b\,\sqrt{a+\frac{b}{x}}}{11\,x^5}-\frac{8\,a\,\sqrt{a+\frac{b}{x}}}{33\,x^4}-\frac{2\,a^2\,\sqrt{a+\frac{b}{x}}}{231\,b\,x^3}+\frac{4\,a^3\,\sqrt{a+\frac{b}{x}}}{385\,b^2\,x^2}-\frac{16\,a^4\,\sqrt{a+\frac{b}{x}}}{1155\,b^3\,x}","Not used",1,"(32*a^5*(a + b/x)^(1/2))/(1155*b^4) - (2*b*(a + b/x)^(1/2))/(11*x^5) - (8*a*(a + b/x)^(1/2))/(33*x^4) - (2*a^2*(a + b/x)^(1/2))/(231*b*x^3) + (4*a^3*(a + b/x)^(1/2))/(385*b^2*x^2) - (16*a^4*(a + b/x)^(1/2))/(1155*b^3*x)","B"
1710,1,128,101,2.309146,"\text{Not used}","int((a + b/x)^(3/2)/x^6,x)","\frac{16\,a^3\,\sqrt{a+\frac{b}{x}}}{3003\,b^2\,x^3}-\frac{2\,b\,\sqrt{a+\frac{b}{x}}}{13\,x^6}-\frac{256\,a^6\,\sqrt{a+\frac{b}{x}}}{15015\,b^5}-\frac{2\,a^2\,\sqrt{a+\frac{b}{x}}}{429\,b\,x^4}-\frac{28\,a\,\sqrt{a+\frac{b}{x}}}{143\,x^5}-\frac{32\,a^4\,\sqrt{a+\frac{b}{x}}}{5005\,b^3\,x^2}+\frac{128\,a^5\,\sqrt{a+\frac{b}{x}}}{15015\,b^4\,x}","Not used",1,"(16*a^3*(a + b/x)^(1/2))/(3003*b^2*x^3) - (2*b*(a + b/x)^(1/2))/(13*x^6) - (256*a^6*(a + b/x)^(1/2))/(15015*b^5) - (2*a^2*(a + b/x)^(1/2))/(429*b*x^4) - (28*a*(a + b/x)^(1/2))/(143*x^5) - (32*a^4*(a + b/x)^(1/2))/(5005*b^3*x^2) + (128*a^5*(a + b/x)^(1/2))/(15015*b^4*x)","B"
1711,1,148,122,2.516676,"\text{Not used}","int((a + b/x)^(3/2)/x^7,x)","\frac{512\,a^7\,\sqrt{a+\frac{b}{x}}}{45045\,b^6}-\frac{2\,b\,\sqrt{a+\frac{b}{x}}}{15\,x^7}-\frac{32\,a\,\sqrt{a+\frac{b}{x}}}{195\,x^6}-\frac{2\,a^2\,\sqrt{a+\frac{b}{x}}}{715\,b\,x^5}+\frac{4\,a^3\,\sqrt{a+\frac{b}{x}}}{1287\,b^2\,x^4}-\frac{32\,a^4\,\sqrt{a+\frac{b}{x}}}{9009\,b^3\,x^3}+\frac{64\,a^5\,\sqrt{a+\frac{b}{x}}}{15015\,b^4\,x^2}-\frac{256\,a^6\,\sqrt{a+\frac{b}{x}}}{45045\,b^5\,x}","Not used",1,"(512*a^7*(a + b/x)^(1/2))/(45045*b^6) - (2*b*(a + b/x)^(1/2))/(15*x^7) - (32*a*(a + b/x)^(1/2))/(195*x^6) - (2*a^2*(a + b/x)^(1/2))/(715*b*x^5) + (4*a^3*(a + b/x)^(1/2))/(1287*b^2*x^4) - (32*a^4*(a + b/x)^(1/2))/(9009*b^3*x^3) + (64*a^5*(a + b/x)^(1/2))/(15015*b^4*x^2) - (256*a^6*(a + b/x)^(1/2))/(45045*b^5*x)","B"
1712,1,89,111,1.366011,"\text{Not used}","int(x^3*(a + b/x)^(5/2),x)","\frac{73\,x^4\,{\left(a+\frac{b}{x}\right)}^{5/2}}{192}-\frac{55\,a\,x^4\,{\left(a+\frac{b}{x}\right)}^{3/2}}{192}+\frac{5\,a^2\,x^4\,\sqrt{a+\frac{b}{x}}}{64}+\frac{5\,x^4\,{\left(a+\frac{b}{x}\right)}^{7/2}}{64\,a}+\frac{b^4\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{64\,a^{3/2}}","Not used",1,"(73*x^4*(a + b/x)^(5/2))/192 + (b^4*atan(((a + b/x)^(1/2)*1i)/a^(1/2))*5i)/(64*a^(3/2)) - (55*a*x^4*(a + b/x)^(3/2))/192 + (5*a^2*x^4*(a + b/x)^(1/2))/64 + (5*x^4*(a + b/x)^(7/2))/(64*a)","B"
1713,1,72,87,1.349703,"\text{Not used}","int(x^2*(a + b/x)^(5/2),x)","\frac{11\,x^3\,{\left(a+\frac{b}{x}\right)}^{5/2}}{8}-\frac{5\,a\,x^3\,{\left(a+\frac{b}{x}\right)}^{3/2}}{3}+\frac{5\,a^2\,x^3\,\sqrt{a+\frac{b}{x}}}{8}-\frac{b^3\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{8\,\sqrt{a}}","Not used",1,"(11*x^3*(a + b/x)^(5/2))/8 - (b^3*atan(((a + b/x)^(1/2)*1i)/a^(1/2))*5i)/(8*a^(1/2)) - (5*a*x^3*(a + b/x)^(3/2))/3 + (5*a^2*x^3*(a + b/x)^(1/2))/8","B"
1714,1,72,84,1.316527,"\text{Not used}","int(x*(a + b/x)^(5/2),x)","\frac{9\,a\,x^2\,{\left(a+\frac{b}{x}\right)}^{3/2}}{4}-2\,b^2\,\sqrt{a+\frac{b}{x}}-\frac{7\,a^2\,x^2\,\sqrt{a+\frac{b}{x}}}{4}-\frac{\sqrt{a}\,b^2\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,15{}\mathrm{i}}{4}","Not used",1,"(9*a*x^2*(a + b/x)^(3/2))/4 - (a^(1/2)*b^2*atan(((a + b/x)^(1/2)*1i)/a^(1/2))*15i)/4 - 2*b^2*(a + b/x)^(1/2) - (7*a^2*x^2*(a + b/x)^(1/2))/4","B"
1715,1,34,71,1.393386,"\text{Not used}","int((a + b/x)^(5/2),x)","-\frac{2\,x\,{\left(a+\frac{b}{x}\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{2},-\frac{3}{2};\ -\frac{1}{2};\ -\frac{a\,x}{b}\right)}{3\,{\left(\frac{a\,x}{b}+1\right)}^{5/2}}","Not used",1,"-(2*x*(a + b/x)^(5/2)*hypergeom([-5/2, -3/2], -1/2, -(a*x)/b))/(3*((a*x)/b + 1)^(5/2))","B"
1716,1,60,73,1.748952,"\text{Not used}","int((a + b/x)^(5/2)/x,x)","-\frac{2\,a\,{\left(a+\frac{b}{x}\right)}^{3/2}}{3}-\frac{2\,{\left(a+\frac{b}{x}\right)}^{5/2}}{5}-2\,a^2\,\sqrt{a+\frac{b}{x}}-a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,2{}\mathrm{i}","Not used",1,"- a^(5/2)*atan(((a + b/x)^(1/2)*1i)/a^(1/2))*2i - (2*a*(a + b/x)^(3/2))/3 - (2*(a + b/x)^(5/2))/5 - 2*a^2*(a + b/x)^(1/2)","B"
1717,1,68,18,1.884163,"\text{Not used}","int((a + b/x)^(5/2)/x^2,x)","-\frac{2\,a^3\,\sqrt{a+\frac{b}{x}}}{7\,b}-\frac{6\,a^2\,\sqrt{a+\frac{b}{x}}}{7\,x}-\frac{2\,b^2\,\sqrt{a+\frac{b}{x}}}{7\,x^3}-\frac{6\,a\,b\,\sqrt{a+\frac{b}{x}}}{7\,x^2}","Not used",1,"- (2*a^3*(a + b/x)^(1/2))/(7*b) - (6*a^2*(a + b/x)^(1/2))/(7*x) - (2*b^2*(a + b/x)^(1/2))/(7*x^3) - (6*a*b*(a + b/x)^(1/2))/(7*x^2)","B"
1718,1,88,38,2.115266,"\text{Not used}","int((a + b/x)^(5/2)/x^3,x)","\frac{4\,a^4\,\sqrt{a+\frac{b}{x}}}{63\,b^2}-\frac{10\,a^2\,\sqrt{a+\frac{b}{x}}}{21\,x^2}-\frac{2\,b^2\,\sqrt{a+\frac{b}{x}}}{9\,x^4}-\frac{2\,a^3\,\sqrt{a+\frac{b}{x}}}{63\,b\,x}-\frac{38\,a\,b\,\sqrt{a+\frac{b}{x}}}{63\,x^3}","Not used",1,"(4*a^4*(a + b/x)^(1/2))/(63*b^2) - (10*a^2*(a + b/x)^(1/2))/(21*x^2) - (2*b^2*(a + b/x)^(1/2))/(9*x^4) - (2*a^3*(a + b/x)^(1/2))/(63*b*x) - (38*a*b*(a + b/x)^(1/2))/(63*x^3)","B"
1719,1,108,59,2.405867,"\text{Not used}","int((a + b/x)^(5/2)/x^4,x)","\frac{8\,a^4\,\sqrt{a+\frac{b}{x}}}{693\,b^2\,x}-\frac{226\,a^2\,\sqrt{a+\frac{b}{x}}}{693\,x^3}-\frac{2\,b^2\,\sqrt{a+\frac{b}{x}}}{11\,x^5}-\frac{2\,a^3\,\sqrt{a+\frac{b}{x}}}{231\,b\,x^2}-\frac{16\,a^5\,\sqrt{a+\frac{b}{x}}}{693\,b^3}-\frac{46\,a\,b\,\sqrt{a+\frac{b}{x}}}{99\,x^4}","Not used",1,"(8*a^4*(a + b/x)^(1/2))/(693*b^2*x) - (226*a^2*(a + b/x)^(1/2))/(693*x^3) - (2*b^2*(a + b/x)^(1/2))/(11*x^5) - (2*a^3*(a + b/x)^(1/2))/(231*b*x^2) - (16*a^5*(a + b/x)^(1/2))/(693*b^3) - (46*a*b*(a + b/x)^(1/2))/(99*x^4)","B"
1720,1,128,80,2.713666,"\text{Not used}","int((a + b/x)^(5/2)/x^5,x)","\frac{32\,a^6\,\sqrt{a+\frac{b}{x}}}{3003\,b^4}-\frac{106\,a^2\,\sqrt{a+\frac{b}{x}}}{429\,x^4}-\frac{2\,b^2\,\sqrt{a+\frac{b}{x}}}{13\,x^6}-\frac{10\,a^3\,\sqrt{a+\frac{b}{x}}}{3003\,b\,x^3}+\frac{4\,a^4\,\sqrt{a+\frac{b}{x}}}{1001\,b^2\,x^2}-\frac{16\,a^5\,\sqrt{a+\frac{b}{x}}}{3003\,b^3\,x}-\frac{54\,a\,b\,\sqrt{a+\frac{b}{x}}}{143\,x^5}","Not used",1,"(32*a^6*(a + b/x)^(1/2))/(3003*b^4) - (106*a^2*(a + b/x)^(1/2))/(429*x^4) - (2*b^2*(a + b/x)^(1/2))/(13*x^6) - (10*a^3*(a + b/x)^(1/2))/(3003*b*x^3) + (4*a^4*(a + b/x)^(1/2))/(1001*b^2*x^2) - (16*a^5*(a + b/x)^(1/2))/(3003*b^3*x) - (54*a*b*(a + b/x)^(1/2))/(143*x^5)","B"
1721,1,148,101,3.008408,"\text{Not used}","int((a + b/x)^(5/2)/x^6,x)","\frac{16\,a^4\,\sqrt{a+\frac{b}{x}}}{9009\,b^2\,x^3}-\frac{142\,a^2\,\sqrt{a+\frac{b}{x}}}{715\,x^5}-\frac{2\,b^2\,\sqrt{a+\frac{b}{x}}}{15\,x^7}-\frac{2\,a^3\,\sqrt{a+\frac{b}{x}}}{1287\,b\,x^4}-\frac{256\,a^7\,\sqrt{a+\frac{b}{x}}}{45045\,b^5}-\frac{32\,a^5\,\sqrt{a+\frac{b}{x}}}{15015\,b^3\,x^2}+\frac{128\,a^6\,\sqrt{a+\frac{b}{x}}}{45045\,b^4\,x}-\frac{62\,a\,b\,\sqrt{a+\frac{b}{x}}}{195\,x^6}","Not used",1,"(16*a^4*(a + b/x)^(1/2))/(9009*b^2*x^3) - (142*a^2*(a + b/x)^(1/2))/(715*x^5) - (2*b^2*(a + b/x)^(1/2))/(15*x^7) - (2*a^3*(a + b/x)^(1/2))/(1287*b*x^4) - (256*a^7*(a + b/x)^(1/2))/(45045*b^5) - (32*a^5*(a + b/x)^(1/2))/(15015*b^3*x^2) + (128*a^6*(a + b/x)^(1/2))/(45045*b^4*x) - (62*a*b*(a + b/x)^(1/2))/(195*x^6)","B"
1722,1,94,120,1.427051,"\text{Not used}","int(x^3/(a + b/x)^(1/2),x)","\frac{93\,x^4\,\sqrt{a+\frac{b}{x}}}{64\,a}-\frac{511\,x^4\,{\left(a+\frac{b}{x}\right)}^{3/2}}{192\,a^2}+\frac{385\,x^4\,{\left(a+\frac{b}{x}\right)}^{5/2}}{192\,a^3}-\frac{35\,x^4\,{\left(a+\frac{b}{x}\right)}^{7/2}}{64\,a^4}-\frac{b^4\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,35{}\mathrm{i}}{64\,a^{9/2}}","Not used",1,"(93*x^4*(a + b/x)^(1/2))/(64*a) - (b^4*atan(((a + b/x)^(1/2)*1i)/a^(1/2))*35i)/(64*a^(9/2)) - (511*x^4*(a + b/x)^(3/2))/(192*a^2) + (385*x^4*(a + b/x)^(5/2))/(192*a^3) - (35*x^4*(a + b/x)^(7/2))/(64*a^4)","B"
1723,1,77,96,1.395004,"\text{Not used}","int(x^2/(a + b/x)^(1/2),x)","\frac{11\,x^3\,\sqrt{a+\frac{b}{x}}}{8\,a}-\frac{5\,x^3\,{\left(a+\frac{b}{x}\right)}^{3/2}}{3\,a^2}+\frac{5\,x^3\,{\left(a+\frac{b}{x}\right)}^{5/2}}{8\,a^3}+\frac{b^3\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{8\,a^{7/2}}","Not used",1,"(b^3*atan(((a + b/x)^(1/2)*1i)/a^(1/2))*5i)/(8*a^(7/2)) + (11*x^3*(a + b/x)^(1/2))/(8*a) - (5*x^3*(a + b/x)^(3/2))/(3*a^2) + (5*x^3*(a + b/x)^(5/2))/(8*a^3)","B"
1724,1,57,72,1.209739,"\text{Not used}","int(x/(a + b/x)^(1/2),x)","\frac{3\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x}}}{\sqrt{a}}\right)}{4\,a^{5/2}}+\frac{5\,x^2\,\sqrt{a+\frac{b}{x}}}{4\,a}-\frac{3\,x^2\,{\left(a+\frac{b}{x}\right)}^{3/2}}{4\,a^2}","Not used",1,"(3*b^2*atanh((a + b/x)^(1/2)/a^(1/2)))/(4*a^(5/2)) + (5*x^2*(a + b/x)^(1/2))/(4*a) - (3*x^2*(a + b/x)^(3/2))/(4*a^2)","B"
1725,1,66,43,1.201379,"\text{Not used}","int(1/(a + b/x)^(1/2),x)","\frac{2\,x\,\left(\frac{3\,\sqrt{b}\,\sqrt{b+a\,x}}{2\,a\,x}+\frac{b^{3/2}\,\mathrm{asin}\left(\frac{\sqrt{a}\,\sqrt{x}\,1{}\mathrm{i}}{\sqrt{b}}\right)\,3{}\mathrm{i}}{2\,a^{3/2}\,x^{3/2}}\right)\,\sqrt{\frac{a\,x}{b}+1}}{3\,\sqrt{a+\frac{b}{x}}}","Not used",1,"(2*x*((3*b^(1/2)*(b + a*x)^(1/2))/(2*a*x) + (b^(3/2)*asin((a^(1/2)*x^(1/2)*1i)/b^(1/2))*3i)/(2*a^(3/2)*x^(3/2)))*((a*x)/b + 1)^(1/2))/(3*(a + b/x)^(1/2))","B"
1726,1,19,25,1.406495,"\text{Not used}","int(1/(x*(a + b/x)^(1/2)),x)","\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x}}}{\sqrt{a}}\right)}{\sqrt{a}}","Not used",1,"(2*atanh((a + b/x)^(1/2)/a^(1/2)))/a^(1/2)","B"
1727,1,14,16,1.322038,"\text{Not used}","int(1/(x^2*(a + b/x)^(1/2)),x)","-\frac{2\,\sqrt{a+\frac{b}{x}}}{b}","Not used",1,"-(2*(a + b/x)^(1/2))/b","B"
1728,1,23,36,1.300755,"\text{Not used}","int(1/(x^3*(a + b/x)^(1/2)),x)","-\frac{2\,\sqrt{a+\frac{b}{x}}\,\left(b-2\,a\,x\right)}{3\,b^2\,x}","Not used",1,"-(2*(a + b/x)^(1/2)*(b - 2*a*x))/(3*b^2*x)","B"
1729,1,54,57,1.298564,"\text{Not used}","int(1/(x^4*(a + b/x)^(1/2)),x)","-\frac{6\,b^2\,\sqrt{a+\frac{b}{x}}+16\,a^2\,x^2\,\sqrt{a+\frac{b}{x}}-8\,a\,b\,x\,\sqrt{a+\frac{b}{x}}}{15\,b^3\,x^2}","Not used",1,"-(6*b^2*(a + b/x)^(1/2) + 16*a^2*x^2*(a + b/x)^(1/2) - 8*a*b*x*(a + b/x)^(1/2))/(15*b^3*x^2)","B"
1730,1,73,76,1.284114,"\text{Not used}","int(1/(x^5*(a + b/x)^(1/2)),x)","\frac{32\,a^3\,\sqrt{a+\frac{b}{x}}}{35\,b^4}-\frac{2\,\sqrt{a+\frac{b}{x}}}{7\,b\,x^3}+\frac{12\,a\,\sqrt{a+\frac{b}{x}}}{35\,b^2\,x^2}-\frac{16\,a^2\,\sqrt{a+\frac{b}{x}}}{35\,b^3\,x}","Not used",1,"(32*a^3*(a + b/x)^(1/2))/(35*b^4) - (2*(a + b/x)^(1/2))/(7*b*x^3) + (12*a*(a + b/x)^(1/2))/(35*b^2*x^2) - (16*a^2*(a + b/x)^(1/2))/(35*b^3*x)","B"
1731,1,93,99,1.280655,"\text{Not used}","int(1/(x^6*(a + b/x)^(1/2)),x)","\frac{16\,a\,\sqrt{a+\frac{b}{x}}}{63\,b^2\,x^3}-\frac{2\,\sqrt{a+\frac{b}{x}}}{9\,b\,x^4}-\frac{256\,a^4\,\sqrt{a+\frac{b}{x}}}{315\,b^5}-\frac{32\,a^2\,\sqrt{a+\frac{b}{x}}}{105\,b^3\,x^2}+\frac{128\,a^3\,\sqrt{a+\frac{b}{x}}}{315\,b^4\,x}","Not used",1,"(16*a*(a + b/x)^(1/2))/(63*b^2*x^3) - (2*(a + b/x)^(1/2))/(9*b*x^4) - (256*a^4*(a + b/x)^(1/2))/(315*b^5) - (32*a^2*(a + b/x)^(1/2))/(105*b^3*x^2) + (128*a^3*(a + b/x)^(1/2))/(315*b^4*x)","B"
1732,1,93,117,1.568739,"\text{Not used}","int(x^2/(a + b/x)^(3/2),x)","\frac{35\,b^3}{8\,a^4\,\sqrt{a+\frac{b}{x}}}-\frac{35\,b^3\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x}}}{\sqrt{a}}\right)}{8\,a^{9/2}}+\frac{x^3}{3\,a\,\sqrt{a+\frac{b}{x}}}-\frac{7\,b\,x^2}{12\,a^2\,\sqrt{a+\frac{b}{x}}}+\frac{35\,b^2\,x}{24\,a^3\,\sqrt{a+\frac{b}{x}}}","Not used",1,"(35*b^3)/(8*a^4*(a + b/x)^(1/2)) - (35*b^3*atanh((a + b/x)^(1/2)/a^(1/2)))/(8*a^(9/2)) + x^3/(3*a*(a + b/x)^(1/2)) - (7*b*x^2)/(12*a^2*(a + b/x)^(1/2)) + (35*b^2*x)/(24*a^3*(a + b/x)^(1/2))","B"
1733,1,73,93,1.349057,"\text{Not used}","int(x/(a + b/x)^(3/2),x)","\frac{15\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x}}}{\sqrt{a}}\right)}{4\,a^{7/2}}-\frac{15\,b^2}{4\,a^3\,\sqrt{a+\frac{b}{x}}}+\frac{x^2}{2\,a\,\sqrt{a+\frac{b}{x}}}-\frac{5\,b\,x}{4\,a^2\,\sqrt{a+\frac{b}{x}}}","Not used",1,"(15*b^2*atanh((a + b/x)^(1/2)/a^(1/2)))/(4*a^(7/2)) - (15*b^2)/(4*a^3*(a + b/x)^(1/2)) + x^2/(2*a*(a + b/x)^(1/2)) - (5*b*x)/(4*a^2*(a + b/x)^(1/2))","B"
1734,1,34,60,1.278887,"\text{Not used}","int(1/(a + b/x)^(3/2),x)","\frac{2\,x\,{\left(\frac{a\,x}{b}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{2},\frac{5}{2};\ \frac{7}{2};\ -\frac{a\,x}{b}\right)}{5\,{\left(a+\frac{b}{x}\right)}^{3/2}}","Not used",1,"(2*x*((a*x)/b + 1)^(3/2)*hypergeom([3/2, 5/2], 7/2, -(a*x)/b))/(5*(a + b/x)^(3/2))","B"
1735,1,34,42,1.416146,"\text{Not used}","int(1/(x*(a + b/x)^(3/2)),x)","\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x}}}{\sqrt{a}}\right)}{a^{3/2}}-\frac{2}{a\,\sqrt{a+\frac{b}{x}}}","Not used",1,"(2*atanh((a + b/x)^(1/2)/a^(1/2)))/a^(3/2) - 2/(a*(a + b/x)^(1/2))","B"
1736,1,14,16,1.309857,"\text{Not used}","int(1/(x^2*(a + b/x)^(3/2)),x)","\frac{2}{b\,\sqrt{a+\frac{b}{x}}}","Not used",1,"2/(b*(a + b/x)^(1/2))","B"
1737,1,36,34,1.257571,"\text{Not used}","int(1/(x^3*(a + b/x)^(3/2)),x)","-\frac{x\,\sqrt{a+\frac{b}{x}}\,\left(\frac{2}{b}+\frac{4\,a\,x}{b^2}\right)}{a\,x^2+b\,x}","Not used",1,"-(x*(a + b/x)^(1/2)*(2/b + (4*a*x)/b^2))/(b*x + a*x^2)","B"
1738,1,43,55,1.315598,"\text{Not used}","int(1/(x^4*(a + b/x)^(3/2)),x)","\frac{2\,\sqrt{a+\frac{b}{x}}\,\left(8\,a^2\,x^2+4\,a\,b\,x-b^2\right)}{3\,b^3\,x\,\left(b+a\,x\right)}","Not used",1,"(2*(a + b/x)^(1/2)*(8*a^2*x^2 - b^2 + 4*a*b*x))/(3*b^3*x*(b + a*x))","B"
1739,1,52,74,1.370679,"\text{Not used}","int(1/(x^5*(a + b/x)^(3/2)),x)","-\frac{2\,\sqrt{a+\frac{b}{x}}\,\left(16\,a^3\,x^3+8\,a^2\,b\,x^2-2\,a\,b^2\,x+b^3\right)}{5\,b^4\,x^2\,\left(b+a\,x\right)}","Not used",1,"-(2*(a + b/x)^(1/2)*(b^3 + 16*a^3*x^3 + 8*a^2*b*x^2 - 2*a*b^2*x))/(5*b^4*x^2*(b + a*x))","B"
1740,1,91,95,1.446505,"\text{Not used}","int(1/(x^6*(a + b/x)^(3/2)),x)","\frac{\sqrt{a+\frac{b}{x}}\,\left(\frac{186\,a^3}{35\,b^4}+\frac{256\,a^4\,x}{35\,b^5}\right)}{b+a\,x}-\frac{2\,\sqrt{a+\frac{b}{x}}}{7\,b^2\,x^3}+\frac{26\,a\,\sqrt{a+\frac{b}{x}}}{35\,b^3\,x^2}-\frac{58\,a^2\,\sqrt{a+\frac{b}{x}}}{35\,b^4\,x}","Not used",1,"((a + b/x)^(1/2)*((186*a^3)/(35*b^4) + (256*a^4*x)/(35*b^5)))/(b + a*x) - (2*(a + b/x)^(1/2))/(7*b^2*x^3) + (26*a*(a + b/x)^(1/2))/(35*b^3*x^2) - (58*a^2*(a + b/x)^(1/2))/(35*b^4*x)","B"
1741,1,112,116,1.443783,"\text{Not used}","int(1/(x^7*(a + b/x)^(3/2)),x)","\frac{34\,a\,\sqrt{a+\frac{b}{x}}}{63\,b^3\,x^3}-\frac{2\,\sqrt{a+\frac{b}{x}}}{9\,b^2\,x^4}-\frac{\sqrt{a+\frac{b}{x}}\,\left(\frac{386\,a^4}{63\,b^5}+\frac{512\,a^5\,x}{63\,b^6}\right)}{b+a\,x}-\frac{22\,a^2\,\sqrt{a+\frac{b}{x}}}{21\,b^4\,x^2}+\frac{130\,a^3\,\sqrt{a+\frac{b}{x}}}{63\,b^5\,x}","Not used",1,"(34*a*(a + b/x)^(1/2))/(63*b^3*x^3) - (2*(a + b/x)^(1/2))/(9*b^2*x^4) - ((a + b/x)^(1/2)*((386*a^4)/(63*b^5) + (512*a^5*x)/(63*b^6)))/(b + a*x) - (22*a^2*(a + b/x)^(1/2))/(21*b^4*x^2) + (130*a^3*(a + b/x)^(1/2))/(63*b^5*x)","B"
1742,1,113,138,1.793189,"\text{Not used}","int(x^2/(a + b/x)^(5/2),x)","\frac{35\,b^3}{2\,a^4\,{\left(a+\frac{b}{x}\right)}^{3/2}}-\frac{105\,b^3\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x}}}{\sqrt{a}}\right)}{8\,a^{11/2}}+\frac{x^3}{3\,a\,{\left(a+\frac{b}{x}\right)}^{3/2}}-\frac{3\,b\,x^2}{4\,a^2\,{\left(a+\frac{b}{x}\right)}^{3/2}}+\frac{21\,b^2\,x}{8\,a^3\,{\left(a+\frac{b}{x}\right)}^{3/2}}+\frac{105\,b^4}{8\,a^5\,x\,{\left(a+\frac{b}{x}\right)}^{3/2}}","Not used",1,"(35*b^3)/(2*a^4*(a + b/x)^(3/2)) - (105*b^3*atanh((a + b/x)^(1/2)/a^(1/2)))/(8*a^(11/2)) + x^3/(3*a*(a + b/x)^(3/2)) - (3*b*x^2)/(4*a^2*(a + b/x)^(3/2)) + (21*b^2*x)/(8*a^3*(a + b/x)^(3/2)) + (105*b^4)/(8*a^5*x*(a + b/x)^(3/2))","B"
1743,1,93,114,1.538571,"\text{Not used}","int(x/(a + b/x)^(5/2),x)","\frac{35\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x}}}{\sqrt{a}}\right)}{4\,a^{9/2}}-\frac{35\,b^2}{3\,a^3\,{\left(a+\frac{b}{x}\right)}^{3/2}}+\frac{x^2}{2\,a\,{\left(a+\frac{b}{x}\right)}^{3/2}}-\frac{35\,b^3}{4\,a^4\,x\,{\left(a+\frac{b}{x}\right)}^{3/2}}-\frac{7\,b\,x}{4\,a^2\,{\left(a+\frac{b}{x}\right)}^{3/2}}","Not used",1,"(35*b^2*atanh((a + b/x)^(1/2)/a^(1/2)))/(4*a^(9/2)) - (35*b^2)/(3*a^3*(a + b/x)^(3/2)) + x^2/(2*a*(a + b/x)^(3/2)) - (35*b^3)/(4*a^4*x*(a + b/x)^(3/2)) - (7*b*x)/(4*a^2*(a + b/x)^(3/2))","B"
1744,1,34,79,1.440780,"\text{Not used}","int(1/(a + b/x)^(5/2),x)","\frac{2\,x\,{\left(\frac{a\,x}{b}+1\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{5}{2},\frac{7}{2};\ \frac{9}{2};\ -\frac{a\,x}{b}\right)}{7\,{\left(a+\frac{b}{x}\right)}^{5/2}}","Not used",1,"(2*x*((a*x)/b + 1)^(5/2)*hypergeom([5/2, 7/2], 9/2, -(a*x)/b))/(7*(a + b/x)^(5/2))","B"
1745,1,49,60,1.582126,"\text{Not used}","int(1/(x*(a + b/x)^(5/2)),x)","\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x}}}{\sqrt{a}}\right)}{a^{5/2}}-\frac{\frac{2\,\left(a+\frac{b}{x}\right)}{a^2}+\frac{2}{3\,a}}{{\left(a+\frac{b}{x}\right)}^{3/2}}","Not used",1,"(2*atanh((a + b/x)^(1/2)/a^(1/2)))/a^(5/2) - ((2*(a + b/x))/a^2 + 2/(3*a))/(a + b/x)^(3/2)","B"
1746,1,14,18,1.403318,"\text{Not used}","int(1/(x^2*(a + b/x)^(5/2)),x)","\frac{2}{3\,b\,{\left(a+\frac{b}{x}\right)}^{3/2}}","Not used",1,"2/(3*b*(a + b/x)^(3/2))","B"
1747,1,25,36,1.304154,"\text{Not used}","int(1/(x^3*(a + b/x)^(5/2)),x)","\frac{6\,b+4\,a\,x}{3\,b^2\,x\,{\left(a+\frac{b}{x}\right)}^{3/2}}","Not used",1,"(6*b + 4*a*x)/(3*b^2*x*(a + b/x)^(3/2))","B"
1748,1,40,55,1.347811,"\text{Not used}","int(1/(x^4*(a + b/x)^(5/2)),x)","-\frac{2\,\sqrt{a+\frac{b}{x}}\,\left(8\,a^2\,x^2+12\,a\,b\,x+3\,b^2\right)}{3\,b^3\,{\left(b+a\,x\right)}^2}","Not used",1,"-(2*(a + b/x)^(1/2)*(3*b^2 + 8*a^2*x^2 + 12*a*b*x))/(3*b^3*(b + a*x)^2)","B"
1749,1,54,76,1.315246,"\text{Not used}","int(1/(x^5*(a + b/x)^(5/2)),x)","\frac{2\,\sqrt{a+\frac{b}{x}}\,\left(16\,a^3\,x^3+24\,a^2\,b\,x^2+6\,a\,b^2\,x-b^3\right)}{3\,b^4\,x\,{\left(b+a\,x\right)}^2}","Not used",1,"(2*(a + b/x)^(1/2)*(16*a^3*x^3 - b^3 + 24*a^2*b*x^2 + 6*a*b^2*x))/(3*b^4*x*(b + a*x)^2)","B"
1750,1,65,97,1.376663,"\text{Not used}","int(1/(x^6*(a + b/x)^(5/2)),x)","-\frac{2\,\sqrt{a+\frac{b}{x}}\,\left(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\right)}{15\,b^5\,x^2\,{\left(b+a\,x\right)}^2}","Not used",1,"-(2*(a + b/x)^(1/2)*(3*b^4 + 128*a^4*x^4 + 192*a^3*b*x^3 + 48*a^2*b^2*x^2 - 8*a*b^3*x))/(15*b^5*x^2*(b + a*x)^2)","B"
1751,1,110,116,1.421520,"\text{Not used}","int(1/(x^7*(a + b/x)^(5/2)),x)","\frac{\sqrt{a+\frac{b}{x}}\,\left(\frac{256\,a^3}{21\,b^5}+\frac{512\,a^4\,x}{21\,b^6}\right)}{b+a\,x}-\frac{2\,\sqrt{a+\frac{b}{x}}}{7\,b^3\,x^3}+\frac{8\,a\,\sqrt{a+\frac{b}{x}}}{7\,b^4\,x^2}-\frac{\sqrt{a+\frac{b}{x}}\,\left(\frac{74\,a^2}{21\,b^3}+\frac{88\,a^3\,x}{21\,b^4}\right)}{x\,{\left(b+a\,x\right)}^2}","Not used",1,"((a + b/x)^(1/2)*((256*a^3)/(21*b^5) + (512*a^4*x)/(21*b^6)))/(b + a*x) - (2*(a + b/x)^(1/2))/(7*b^3*x^3) + (8*a*(a + b/x)^(1/2))/(7*b^4*x^2) - ((a + b/x)^(1/2)*((74*a^2)/(21*b^3) + (88*a^3*x)/(21*b^4)))/(x*(b + a*x)^2)","B"
1752,1,58,100,1.667913,"\text{Not used}","int(x^(7/2)*(a + b/x)^(1/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,x^{9/2}}{9}+\frac{2\,b\,x^{7/2}}{63\,a}-\frac{4\,b^2\,x^{5/2}}{105\,a^2}+\frac{16\,b^3\,x^{3/2}}{315\,a^3}-\frac{32\,b^4\,\sqrt{x}}{315\,a^4}\right)","Not used",1,"(a + b/x)^(1/2)*((2*x^(9/2))/9 + (2*b*x^(7/2))/(63*a) - (4*b^2*x^(5/2))/(105*a^2) + (16*b^3*x^(3/2))/(315*a^3) - (32*b^4*x^(1/2))/(315*a^4))","B"
1753,1,47,74,1.397549,"\text{Not used}","int(x^(5/2)*(a + b/x)^(1/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,x^{7/2}}{7}+\frac{2\,b\,x^{5/2}}{35\,a}-\frac{8\,b^2\,x^{3/2}}{105\,a^2}+\frac{16\,b^3\,\sqrt{x}}{105\,a^3}\right)","Not used",1,"(a + b/x)^(1/2)*((2*x^(7/2))/7 + (2*b*x^(5/2))/(35*a) - (8*b^2*x^(3/2))/(105*a^2) + (16*b^3*x^(1/2))/(105*a^3))","B"
1754,1,36,48,1.396250,"\text{Not used}","int(x^(3/2)*(a + b/x)^(1/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,x^{5/2}}{5}+\frac{2\,b\,x^{3/2}}{15\,a}-\frac{4\,b^2\,\sqrt{x}}{15\,a^2}\right)","Not used",1,"(a + b/x)^(1/2)*((2*x^(5/2))/5 + (2*b*x^(3/2))/(15*a) - (4*b^2*x^(1/2))/(15*a^2))","B"
1755,1,22,23,1.310289,"\text{Not used}","int(x^(1/2)*(a + b/x)^(1/2),x)","\frac{2\,\sqrt{x}\,\sqrt{a+\frac{b}{x}}\,\left(b+a\,x\right)}{3\,a}","Not used",1,"(2*x^(1/2)*(a + b/x)^(1/2)*(b + a*x))/(3*a)","B"
1756,0,-1,49,0.000000,"\text{Not used}","int((a + b/x)^(1/2)/x^(1/2),x)","\int \frac{\sqrt{a+\frac{b}{x}}}{\sqrt{x}} \,d x","Not used",1,"int((a + b/x)^(1/2)/x^(1/2), x)","F"
1757,0,-1,50,0.000000,"\text{Not used}","int((a + b/x)^(1/2)/x^(3/2),x)","\int \frac{\sqrt{a+\frac{b}{x}}}{x^{3/2}} \,d x","Not used",1,"int((a + b/x)^(1/2)/x^(3/2), x)","F"
1758,0,-1,80,0.000000,"\text{Not used}","int((a + b/x)^(1/2)/x^(5/2),x)","\int \frac{\sqrt{a+\frac{b}{x}}}{x^{5/2}} \,d x","Not used",1,"int((a + b/x)^(1/2)/x^(5/2), x)","F"
1759,0,-1,106,0.000000,"\text{Not used}","int((a + b/x)^(1/2)/x^(7/2),x)","\int \frac{\sqrt{a+\frac{b}{x}}}{x^{7/2}} \,d x","Not used",1,"int((a + b/x)^(1/2)/x^(7/2), x)","F"
1760,1,67,100,1.461399,"\text{Not used}","int(x^(9/2)*(a + b/x)^(3/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,a\,x^{11/2}}{11}+\frac{8\,b\,x^{9/2}}{33}+\frac{2\,b^2\,x^{7/2}}{231\,a}-\frac{4\,b^3\,x^{5/2}}{385\,a^2}+\frac{16\,b^4\,x^{3/2}}{1155\,a^3}-\frac{32\,b^5\,\sqrt{x}}{1155\,a^4}\right)","Not used",1,"(a + b/x)^(1/2)*((2*a*x^(11/2))/11 + (8*b*x^(9/2))/33 + (2*b^2*x^(7/2))/(231*a) - (4*b^3*x^(5/2))/(385*a^2) + (16*b^4*x^(3/2))/(1155*a^3) - (32*b^5*x^(1/2))/(1155*a^4))","B"
1761,1,56,74,1.465280,"\text{Not used}","int(x^(7/2)*(a + b/x)^(3/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,a\,x^{9/2}}{9}+\frac{20\,b\,x^{7/2}}{63}+\frac{2\,b^2\,x^{5/2}}{105\,a}-\frac{8\,b^3\,x^{3/2}}{315\,a^2}+\frac{16\,b^4\,\sqrt{x}}{315\,a^3}\right)","Not used",1,"(a + b/x)^(1/2)*((2*a*x^(9/2))/9 + (20*b*x^(7/2))/63 + (2*b^2*x^(5/2))/(105*a) - (8*b^3*x^(3/2))/(315*a^2) + (16*b^4*x^(1/2))/(315*a^3))","B"
1762,1,45,48,1.427190,"\text{Not used}","int(x^(5/2)*(a + b/x)^(3/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,a\,x^{7/2}}{7}+\frac{16\,b\,x^{5/2}}{35}+\frac{2\,b^2\,x^{3/2}}{35\,a}-\frac{4\,b^3\,\sqrt{x}}{35\,a^2}\right)","Not used",1,"(a + b/x)^(1/2)*((2*a*x^(7/2))/7 + (16*b*x^(5/2))/35 + (2*b^2*x^(3/2))/(35*a) - (4*b^3*x^(1/2))/(35*a^2))","B"
1763,1,34,23,1.380173,"\text{Not used}","int(x^(3/2)*(a + b/x)^(3/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,a\,x^{5/2}}{5}+\frac{4\,b\,x^{3/2}}{5}+\frac{2\,b^2\,\sqrt{x}}{5\,a}\right)","Not used",1,"(a + b/x)^(1/2)*((2*a*x^(5/2))/5 + (4*b*x^(3/2))/5 + (2*b^2*x^(1/2))/(5*a))","B"
1764,0,-1,70,0.000000,"\text{Not used}","int(x^(1/2)*(a + b/x)^(3/2),x)","\int \sqrt{x}\,{\left(a+\frac{b}{x}\right)}^{3/2} \,d x","Not used",1,"int(x^(1/2)*(a + b/x)^(3/2), x)","F"
1765,0,-1,69,0.000000,"\text{Not used}","int((a + b/x)^(3/2)/x^(1/2),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^{3/2}}{\sqrt{x}} \,d x","Not used",1,"int((a + b/x)^(3/2)/x^(1/2), x)","F"
1766,0,-1,77,0.000000,"\text{Not used}","int((a + b/x)^(3/2)/x^(3/2),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^{3/2}}{x^{3/2}} \,d x","Not used",1,"int((a + b/x)^(3/2)/x^(3/2), x)","F"
1767,0,-1,103,0.000000,"\text{Not used}","int((a + b/x)^(3/2)/x^(5/2),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^{3/2}}{x^{5/2}} \,d x","Not used",1,"int((a + b/x)^(3/2)/x^(5/2), x)","F"
1768,1,78,100,1.535346,"\text{Not used}","int(x^(11/2)*(a + b/x)^(5/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,a^2\,x^{13/2}}{13}+\frac{106\,b^2\,x^{9/2}}{429}+\frac{10\,b^3\,x^{7/2}}{3003\,a}-\frac{4\,b^4\,x^{5/2}}{1001\,a^2}+\frac{16\,b^5\,x^{3/2}}{3003\,a^3}-\frac{32\,b^6\,\sqrt{x}}{3003\,a^4}+\frac{54\,a\,b\,x^{11/2}}{143}\right)","Not used",1,"(a + b/x)^(1/2)*((2*a^2*x^(13/2))/13 + (106*b^2*x^(9/2))/429 + (10*b^3*x^(7/2))/(3003*a) - (4*b^4*x^(5/2))/(1001*a^2) + (16*b^5*x^(3/2))/(3003*a^3) - (32*b^6*x^(1/2))/(3003*a^4) + (54*a*b*x^(11/2))/143)","B"
1769,1,67,74,1.458881,"\text{Not used}","int(x^(9/2)*(a + b/x)^(5/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,a^2\,x^{11/2}}{11}+\frac{226\,b^2\,x^{7/2}}{693}+\frac{2\,b^3\,x^{5/2}}{231\,a}-\frac{8\,b^4\,x^{3/2}}{693\,a^2}+\frac{16\,b^5\,\sqrt{x}}{693\,a^3}+\frac{46\,a\,b\,x^{9/2}}{99}\right)","Not used",1,"(a + b/x)^(1/2)*((2*a^2*x^(11/2))/11 + (226*b^2*x^(7/2))/693 + (2*b^3*x^(5/2))/(231*a) - (8*b^4*x^(3/2))/(693*a^2) + (16*b^5*x^(1/2))/(693*a^3) + (46*a*b*x^(9/2))/99)","B"
1770,1,56,48,1.446466,"\text{Not used}","int(x^(7/2)*(a + b/x)^(5/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,a^2\,x^{9/2}}{9}+\frac{10\,b^2\,x^{5/2}}{21}+\frac{2\,b^3\,x^{3/2}}{63\,a}-\frac{4\,b^4\,\sqrt{x}}{63\,a^2}+\frac{38\,a\,b\,x^{7/2}}{63}\right)","Not used",1,"(a + b/x)^(1/2)*((2*a^2*x^(9/2))/9 + (10*b^2*x^(5/2))/21 + (2*b^3*x^(3/2))/(63*a) - (4*b^4*x^(1/2))/(63*a^2) + (38*a*b*x^(7/2))/63)","B"
1771,1,45,23,1.383530,"\text{Not used}","int(x^(5/2)*(a + b/x)^(5/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,a^2\,x^{7/2}}{7}+\frac{6\,b^2\,x^{3/2}}{7}+\frac{2\,b^3\,\sqrt{x}}{7\,a}+\frac{6\,a\,b\,x^{5/2}}{7}\right)","Not used",1,"(a + b/x)^(1/2)*((2*a^2*x^(7/2))/7 + (6*b^2*x^(3/2))/7 + (2*b^3*x^(1/2))/(7*a) + (6*a*b*x^(5/2))/7)","B"
1772,0,-1,93,0.000000,"\text{Not used}","int(x^(3/2)*(a + b/x)^(5/2),x)","\int x^{3/2}\,{\left(a+\frac{b}{x}\right)}^{5/2} \,d x","Not used",1,"int(x^(3/2)*(a + b/x)^(5/2), x)","F"
1773,0,-1,94,0.000000,"\text{Not used}","int(x^(1/2)*(a + b/x)^(5/2),x)","\int \sqrt{x}\,{\left(a+\frac{b}{x}\right)}^{5/2} \,d x","Not used",1,"int(x^(1/2)*(a + b/x)^(5/2), x)","F"
1774,0,-1,97,0.000000,"\text{Not used}","int((a + b/x)^(5/2)/x^(1/2),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^{5/2}}{\sqrt{x}} \,d x","Not used",1,"int((a + b/x)^(5/2)/x^(1/2), x)","F"
1775,0,-1,100,0.000000,"\text{Not used}","int((a + b/x)^(5/2)/x^(3/2),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^{5/2}}{x^{3/2}} \,d x","Not used",1,"int((a + b/x)^(5/2)/x^(3/2), x)","F"
1776,0,-1,126,0.000000,"\text{Not used}","int((a + b/x)^(5/2)/x^(5/2),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^{5/2}}{x^{5/2}} \,d x","Not used",1,"int((a + b/x)^(5/2)/x^(5/2), x)","F"
1777,1,61,126,1.488230,"\text{Not used}","int(x^(7/2)/(a + b/x)^(1/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,x^{9/2}}{9\,a}-\frac{16\,b\,x^{7/2}}{63\,a^2}+\frac{32\,b^2\,x^{5/2}}{105\,a^3}-\frac{128\,b^3\,x^{3/2}}{315\,a^4}+\frac{256\,b^4\,\sqrt{x}}{315\,a^5}\right)","Not used",1,"(a + b/x)^(1/2)*((2*x^(9/2))/(9*a) - (16*b*x^(7/2))/(63*a^2) + (32*b^2*x^(5/2))/(105*a^3) - (128*b^3*x^(3/2))/(315*a^4) + (256*b^4*x^(1/2))/(315*a^5))","B"
1778,1,50,100,1.431674,"\text{Not used}","int(x^(5/2)/(a + b/x)^(1/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,x^{7/2}}{7\,a}-\frac{12\,b\,x^{5/2}}{35\,a^2}+\frac{16\,b^2\,x^{3/2}}{35\,a^3}-\frac{32\,b^3\,\sqrt{x}}{35\,a^4}\right)","Not used",1,"(a + b/x)^(1/2)*((2*x^(7/2))/(7*a) - (12*b*x^(5/2))/(35*a^2) + (16*b^2*x^(3/2))/(35*a^3) - (32*b^3*x^(1/2))/(35*a^4))","B"
1779,1,39,74,1.444608,"\text{Not used}","int(x^(3/2)/(a + b/x)^(1/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,x^{5/2}}{5\,a}-\frac{8\,b\,x^{3/2}}{15\,a^2}+\frac{16\,b^2\,\sqrt{x}}{15\,a^3}\right)","Not used",1,"(a + b/x)^(1/2)*((2*x^(5/2))/(5*a) - (8*b*x^(3/2))/(15*a^2) + (16*b^2*x^(1/2))/(15*a^3))","B"
1780,1,28,48,1.416958,"\text{Not used}","int(x^(1/2)/(a + b/x)^(1/2),x)","\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,x^{3/2}}{3\,a}-\frac{4\,b\,\sqrt{x}}{3\,a^2}\right)","Not used",1,"(a + b/x)^(1/2)*((2*x^(3/2))/(3*a) - (4*b*x^(1/2))/(3*a^2))","B"
1781,1,17,21,1.409176,"\text{Not used}","int(1/(x^(1/2)*(a + b/x)^(1/2)),x)","\frac{2\,\sqrt{x}\,\sqrt{a+\frac{b}{x}}}{a}","Not used",1,"(2*x^(1/2)*(a + b/x)^(1/2))/a","B"
1782,0,-1,30,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a + b/x)^(1/2)),x)","\int \frac{1}{x^{3/2}\,\sqrt{a+\frac{b}{x}}} \,d x","Not used",1,"int(1/(x^(3/2)*(a + b/x)^(1/2)), x)","F"
1783,0,-1,52,0.000000,"\text{Not used}","int(1/(x^(5/2)*(a + b/x)^(1/2)),x)","\int \frac{1}{x^{5/2}\,\sqrt{a+\frac{b}{x}}} \,d x","Not used",1,"int(1/(x^(5/2)*(a + b/x)^(1/2)), x)","F"
1784,0,-1,83,0.000000,"\text{Not used}","int(1/(x^(7/2)*(a + b/x)^(1/2)),x)","\int \frac{1}{x^{7/2}\,\sqrt{a+\frac{b}{x}}} \,d x","Not used",1,"int(1/(x^(7/2)*(a + b/x)^(1/2)), x)","F"
1785,0,-1,109,0.000000,"\text{Not used}","int(1/(x^(9/2)*(a + b/x)^(1/2)),x)","\int \frac{1}{x^{9/2}\,\sqrt{a+\frac{b}{x}}} \,d x","Not used",1,"int(1/(x^(9/2)*(a + b/x)^(1/2)), x)","F"
1786,1,67,126,1.630813,"\text{Not used}","int(x^(5/2)/(a + b/x)^(3/2),x)","-\frac{2\,\sqrt{x}\,\sqrt{\frac{b+a\,x}{x}}\,\left(-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\right)}{35\,a^5\,\left(b+a\,x\right)}","Not used",1,"-(2*x^(1/2)*((b + a*x)/x)^(1/2)*(128*b^4 - 5*a^4*x^4 + 8*a^3*b*x^3 - 16*a^2*b^2*x^2 + 64*a*b^3*x))/(35*a^5*(b + a*x))","B"
1787,1,59,100,1.524094,"\text{Not used}","int(x^(3/2)/(a + b/x)^(3/2),x)","\frac{\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,x^{7/2}}{5\,a^2}-\frac{4\,b\,x^{5/2}}{5\,a^3}+\frac{16\,b^2\,x^{3/2}}{5\,a^4}+\frac{32\,b^3\,\sqrt{x}}{5\,a^5}\right)}{x+\frac{b}{a}}","Not used",1,"((a + b/x)^(1/2)*((2*x^(7/2))/(5*a^2) - (4*b*x^(5/2))/(5*a^3) + (16*b^2*x^(3/2))/(5*a^4) + (32*b^3*x^(1/2))/(5*a^5)))/(x + b/a)","B"
1788,1,49,74,1.488659,"\text{Not used}","int(x^(1/2)/(a + b/x)^(3/2),x)","-\frac{\sqrt{a+\frac{b}{x}}\,\left(\frac{8\,b\,x^{3/2}}{3\,a^3}-\frac{2\,x^{5/2}}{3\,a^2}+\frac{16\,b^2\,\sqrt{x}}{3\,a^4}\right)}{x+\frac{b}{a}}","Not used",1,"-((a + b/x)^(1/2)*((8*b*x^(3/2))/(3*a^3) - (2*x^(5/2))/(3*a^2) + (16*b^2*x^(1/2))/(3*a^4)))/(x + b/a)","B"
1789,1,37,44,1.439969,"\text{Not used}","int(1/(x^(1/2)*(a + b/x)^(3/2)),x)","\frac{\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,x^{3/2}}{a^2}+\frac{4\,b\,\sqrt{x}}{a^3}\right)}{x+\frac{b}{a}}","Not used",1,"((a + b/x)^(1/2)*((2*x^(3/2))/a^2 + (4*b*x^(1/2))/a^3))/(x + b/a)","B"
1790,1,25,21,1.426320,"\text{Not used}","int(1/(x^(3/2)*(a + b/x)^(3/2)),x)","-\frac{2\,\sqrt{x}\,\sqrt{a+\frac{b}{x}}}{x\,a^2+b\,a}","Not used",1,"-(2*x^(1/2)*(a + b/x)^(1/2))/(a*b + a^2*x)","B"
1791,0,-1,52,0.000000,"\text{Not used}","int(1/(x^(5/2)*(a + b/x)^(3/2)),x)","\int \frac{1}{x^{5/2}\,{\left(a+\frac{b}{x}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^(5/2)*(a + b/x)^(3/2)), x)","F"
1792,0,-1,74,0.000000,"\text{Not used}","int(1/(x^(7/2)*(a + b/x)^(3/2)),x)","\int \frac{1}{x^{7/2}\,{\left(a+\frac{b}{x}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^(7/2)*(a + b/x)^(3/2)), x)","F"
1793,0,-1,104,0.000000,"\text{Not used}","int(1/(x^(9/2)*(a + b/x)^(3/2)),x)","\int \frac{1}{x^{9/2}\,{\left(a+\frac{b}{x}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^(9/2)*(a + b/x)^(3/2)), x)","F"
1794,0,-1,130,0.000000,"\text{Not used}","int(1/(x^(11/2)*(a + b/x)^(3/2)),x)","\int \frac{1}{x^{11/2}\,{\left(a+\frac{b}{x}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^(11/2)*(a + b/x)^(3/2)), x)","F"
1795,1,78,152,1.673654,"\text{Not used}","int(x^(5/2)/(a + b/x)^(5/2),x)","-\frac{2\,\sqrt{x}\,\sqrt{\frac{b+a\,x}{x}}\,\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\,a^6\,{\left(b+a\,x\right)}^2}","Not used",1,"-(2*x^(1/2)*((b + a*x)/x)^(1/2)*(256*b^5 - 3*a^5*x^5 + 6*a^4*b*x^4 + 96*a^2*b^3*x^2 - 16*a^3*b^2*x^3 + 384*a*b^4*x))/(21*a^6*(b + a*x)^2)","B"
1796,1,81,126,1.567689,"\text{Not used}","int(x^(3/2)/(a + b/x)^(5/2),x)","\frac{\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,x^{9/2}}{5\,a^3}-\frac{16\,b\,x^{7/2}}{15\,a^4}+\frac{32\,b^2\,x^{5/2}}{5\,a^5}+\frac{128\,b^3\,x^{3/2}}{5\,a^6}+\frac{256\,b^4\,\sqrt{x}}{15\,a^7}\right)}{x^2+\frac{b^2}{a^2}+\frac{2\,b\,x}{a}}","Not used",1,"((a + b/x)^(1/2)*((2*x^(9/2))/(5*a^3) - (16*b*x^(7/2))/(15*a^4) + (32*b^2*x^(5/2))/(5*a^5) + (128*b^3*x^(3/2))/(5*a^6) + (256*b^4*x^(1/2))/(15*a^7)))/(x^2 + b^2/a^2 + (2*b*x)/a)","B"
1797,1,71,96,1.519756,"\text{Not used}","int(x^(1/2)/(a + b/x)^(5/2),x)","-\frac{\sqrt{a+\frac{b}{x}}\,\left(\frac{4\,b\,x^{5/2}}{a^4}-\frac{2\,x^{7/2}}{3\,a^3}+\frac{16\,b^2\,x^{3/2}}{a^5}+\frac{32\,b^3\,\sqrt{x}}{3\,a^6}\right)}{x^2+\frac{b^2}{a^2}+\frac{2\,b\,x}{a}}","Not used",1,"-((a + b/x)^(1/2)*((4*b*x^(5/2))/a^4 - (2*x^(7/2))/(3*a^3) + (16*b^2*x^(3/2))/a^5 + (32*b^3*x^(1/2))/(3*a^6)))/(x^2 + b^2/a^2 + (2*b*x)/a)","B"
1798,1,43,70,1.544312,"\text{Not used}","int(1/(x^(1/2)*(a + b/x)^(5/2)),x)","\frac{2\,\sqrt{x}\,\sqrt{a+\frac{b}{x}}\,\left(3\,a^2\,x^2+12\,a\,b\,x+8\,b^2\right)}{3\,a^3\,{\left(b+a\,x\right)}^2}","Not used",1,"(2*x^(1/2)*(a + b/x)^(1/2)*(8*b^2 + 3*a^2*x^2 + 12*a*b*x))/(3*a^3*(b + a*x)^2)","B"
1799,1,49,46,1.493955,"\text{Not used}","int(1/(x^(3/2)*(a + b/x)^(5/2)),x)","-\frac{\sqrt{a+\frac{b}{x}}\,\left(\frac{2\,x^{3/2}}{a^3}+\frac{4\,b\,\sqrt{x}}{3\,a^4}\right)}{x^2+\frac{b^2}{a^2}+\frac{2\,b\,x}{a}}","Not used",1,"-((a + b/x)^(1/2)*((2*x^(3/2))/a^3 + (4*b*x^(1/2))/(3*a^4)))/(x^2 + b^2/a^2 + (2*b*x)/a)","B"
1800,1,38,23,1.487465,"\text{Not used}","int(1/(x^(5/2)*(a + b/x)^(5/2)),x)","-\frac{2\,\sqrt{x}\,\sqrt{a+\frac{b}{x}}}{3\,\left(a^3\,x^2+2\,a^2\,b\,x+a\,b^2\right)}","Not used",1,"-(2*x^(1/2)*(a + b/x)^(1/2))/(3*(a*b^2 + a^3*x^2 + 2*a^2*b*x))","B"
1801,0,-1,75,0.000000,"\text{Not used}","int(1/(x^(7/2)*(a + b/x)^(5/2)),x)","\int \frac{1}{x^{7/2}\,{\left(a+\frac{b}{x}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^(7/2)*(a + b/x)^(5/2)), x)","F"
1802,0,-1,99,0.000000,"\text{Not used}","int(1/(x^(9/2)*(a + b/x)^(5/2)),x)","\int \frac{1}{x^{9/2}\,{\left(a+\frac{b}{x}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^(9/2)*(a + b/x)^(5/2)), x)","F"
1803,0,-1,129,0.000000,"\text{Not used}","int(1/(x^(11/2)*(a + b/x)^(5/2)),x)","\int \frac{1}{x^{11/2}\,{\left(a+\frac{b}{x}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^(11/2)*(a + b/x)^(5/2)), x)","F"
1804,1,13,17,0.022964,"\text{Not used}","int(x^6*(a + b/x^2),x)","\frac{a\,x^7}{7}+\frac{b\,x^5}{5}","Not used",1,"(a*x^7)/7 + (b*x^5)/5","B"
1805,1,13,17,0.019834,"\text{Not used}","int(x^5*(a + b/x^2),x)","\frac{a\,x^6}{6}+\frac{b\,x^4}{4}","Not used",1,"(a*x^6)/6 + (b*x^4)/4","B"
1806,1,13,17,0.020438,"\text{Not used}","int(x^4*(a + b/x^2),x)","\frac{a\,x^5}{5}+\frac{b\,x^3}{3}","Not used",1,"(a*x^5)/5 + (b*x^3)/3","B"
1807,1,13,17,0.020108,"\text{Not used}","int(x^3*(a + b/x^2),x)","\frac{a\,x^4}{4}+\frac{b\,x^2}{2}","Not used",1,"(a*x^4)/4 + (b*x^2)/2","B"
1808,1,10,12,0.017555,"\text{Not used}","int(x^2*(a + b/x^2),x)","\frac{a\,x^3}{3}+b\,x","Not used",1,"b*x + (a*x^3)/3","B"
1809,1,11,13,0.024011,"\text{Not used}","int(x*(a + b/x^2),x)","\frac{a\,x^2}{2}+b\,\ln\left(x\right)","Not used",1,"(a*x^2)/2 + b*log(x)","B"
1810,1,10,10,0.023430,"\text{Not used}","int(a + b/x^2,x)","a\,x-\frac{b}{x}","Not used",1,"a*x - b/x","B"
1811,1,11,13,0.038656,"\text{Not used}","int((a + b/x^2)/x,x)","a\,\ln\left(x\right)-\frac{b}{2\,x^2}","Not used",1,"a*log(x) - b/(2*x^2)","B"
1812,1,13,15,0.022912,"\text{Not used}","int((a + b/x^2)/x^2,x)","-\frac{3\,a\,x^2+b}{3\,x^3}","Not used",1,"-(b + 3*a*x^2)/(3*x^3)","B"
1813,1,13,17,0.025740,"\text{Not used}","int((a + b/x^2)/x^3,x)","-\frac{2\,a\,x^2+b}{4\,x^4}","Not used",1,"-(b + 2*a*x^2)/(4*x^4)","B"
1814,1,15,17,0.026235,"\text{Not used}","int((a + b/x^2)/x^4,x)","-\frac{5\,a\,x^2+3\,b}{15\,x^5}","Not used",1,"-(3*b + 5*a*x^2)/(15*x^5)","B"
1815,1,15,17,0.025776,"\text{Not used}","int((a + b/x^2)/x^5,x)","-\frac{3\,a\,x^2+2\,b}{12\,x^6}","Not used",1,"-(2*b + 3*a*x^2)/(12*x^6)","B"
1816,1,15,17,0.027516,"\text{Not used}","int((a + b/x^2)/x^6,x)","-\frac{7\,a\,x^2+5\,b}{35\,x^7}","Not used",1,"-(5*b + 7*a*x^2)/(35*x^7)","B"
1817,1,24,30,0.044207,"\text{Not used}","int(x^6*(a + b/x^2)^2,x)","\frac{a^2\,x^7}{7}+\frac{2\,a\,b\,x^5}{5}+\frac{b^2\,x^3}{3}","Not used",1,"(a^2*x^7)/7 + (b^2*x^3)/3 + (2*a*b*x^5)/5","B"
1818,1,24,16,0.033499,"\text{Not used}","int(x^5*(a + b/x^2)^2,x)","\frac{a^2\,x^6}{6}+\frac{a\,b\,x^4}{2}+\frac{b^2\,x^2}{2}","Not used",1,"(a^2*x^6)/6 + (b^2*x^2)/2 + (a*b*x^4)/2","B"
1819,1,21,25,0.030515,"\text{Not used}","int(x^4*(a + b/x^2)^2,x)","\frac{a^2\,x^5}{5}+\frac{2\,a\,b\,x^3}{3}+b^2\,x","Not used",1,"b^2*x + (a^2*x^5)/5 + (2*a*b*x^3)/3","B"
1820,1,21,23,1.036225,"\text{Not used}","int(x^3*(a + b/x^2)^2,x)","b^2\,\ln\left(x\right)+\frac{a^2\,x^4}{4}+a\,b\,x^2","Not used",1,"b^2*log(x) + (a^2*x^4)/4 + a*b*x^2","B"
1821,1,22,24,0.033794,"\text{Not used}","int(x^2*(a + b/x^2)^2,x)","\frac{a^2\,x^3}{3}-\frac{b^2}{x}+2\,a\,b\,x","Not used",1,"(a^2*x^3)/3 - b^2/x + 2*a*b*x","B"
1822,1,23,27,1.058079,"\text{Not used}","int(x*(a + b/x^2)^2,x)","\frac{a^2\,x^2}{2}-\frac{b^2}{2\,x^2}+2\,a\,b\,\ln\left(x\right)","Not used",1,"(a^2*x^2)/2 - b^2/(2*x^2) + 2*a*b*log(x)","B"
1823,1,24,23,0.026320,"\text{Not used}","int((a + b/x^2)^2,x)","a^2\,x-\frac{\frac{b^2}{3}+2\,a\,b\,x^2}{x^3}","Not used",1,"a^2*x - (b^2/3 + 2*a*b*x^2)/x^3","B"
1824,1,24,24,0.045188,"\text{Not used}","int((a + b/x^2)^2/x,x)","a^2\,\ln\left(x\right)-\frac{\frac{b^2}{4}+a\,b\,x^2}{x^4}","Not used",1,"a^2*log(x) - (b^2/4 + a*b*x^2)/x^4","B"
1825,1,25,28,0.035868,"\text{Not used}","int((a + b/x^2)^2/x^2,x)","-\frac{a^2\,x^4+\frac{2\,a\,b\,x^2}{3}+\frac{b^2}{5}}{x^5}","Not used",1,"-(b^2/5 + a^2*x^4 + (2*a*b*x^2)/3)/x^5","B"
1826,1,26,16,0.036047,"\text{Not used}","int((a + b/x^2)^2/x^3,x)","-\frac{\frac{a^2\,x^4}{2}+\frac{a\,b\,x^2}{2}+\frac{b^2}{6}}{x^6}","Not used",1,"-(b^2/6 + (a^2*x^4)/2 + (a*b*x^2)/2)/x^6","B"
1827,1,26,30,0.036110,"\text{Not used}","int((a + b/x^2)^2/x^4,x)","-\frac{\frac{a^2\,x^4}{3}+\frac{2\,a\,b\,x^2}{5}+\frac{b^2}{7}}{x^7}","Not used",1,"-(b^2/7 + (a^2*x^4)/3 + (2*a*b*x^2)/5)/x^7","B"
1828,1,26,30,0.037899,"\text{Not used}","int((a + b/x^2)^2/x^5,x)","-\frac{\frac{a^2\,x^4}{4}+\frac{a\,b\,x^2}{3}+\frac{b^2}{8}}{x^8}","Not used",1,"-(b^2/8 + (a^2*x^4)/4 + (a*b*x^2)/3)/x^8","B"
1829,1,26,30,0.036980,"\text{Not used}","int((a + b/x^2)^2/x^6,x)","-\frac{\frac{a^2\,x^4}{5}+\frac{2\,a\,b\,x^2}{7}+\frac{b^2}{9}}{x^9}","Not used",1,"-(b^2/9 + (a^2*x^4)/5 + (2*a*b*x^2)/7)/x^9","B"
1830,1,31,35,0.042381,"\text{Not used}","int(x^6*(a + b/x^2)^3,x)","\frac{a^3\,x^7}{7}+\frac{3\,a^2\,b\,x^5}{5}+a\,b^2\,x^3+b^3\,x","Not used",1,"b^3*x + (a^3*x^7)/7 + a*b^2*x^3 + (3*a^2*b*x^5)/5","B"
1831,1,33,39,0.040272,"\text{Not used}","int(x^5*(a + b/x^2)^3,x)","b^3\,\ln\left(x\right)+\frac{a^3\,x^6}{6}+\frac{3\,a\,b^2\,x^2}{2}+\frac{3\,a^2\,b\,x^4}{4}","Not used",1,"b^3*log(x) + (a^3*x^6)/6 + (3*a*b^2*x^2)/2 + (3*a^2*b*x^4)/4","B"
1832,1,32,34,0.042112,"\text{Not used}","int(x^4*(a + b/x^2)^3,x)","\frac{a^3\,x^5}{5}-\frac{b^3}{x}+a^2\,b\,x^3+3\,a\,b^2\,x","Not used",1,"(a^3*x^5)/5 - b^3/x + a^2*b*x^3 + 3*a*b^2*x","B"
1833,1,34,40,0.036341,"\text{Not used}","int(x^3*(a + b/x^2)^3,x)","\frac{a^3\,x^4}{4}-\frac{b^3}{2\,x^2}+\frac{3\,a^2\,b\,x^2}{2}+3\,a\,b^2\,\ln\left(x\right)","Not used",1,"(a^3*x^4)/4 - b^3/(2*x^2) + (3*a^2*b*x^2)/2 + 3*a*b^2*log(x)","B"
1834,1,36,37,1.068044,"\text{Not used}","int(x^2*(a + b/x^2)^3,x)","\frac{a^3\,x^3}{3}-\frac{\frac{b^3}{3}+3\,a\,b^2\,x^2}{x^3}+3\,a^2\,b\,x","Not used",1,"(a^3*x^3)/3 - (b^3/3 + 3*a*b^2*x^2)/x^3 + 3*a^2*b*x","B"
1835,1,37,40,0.035512,"\text{Not used}","int(x*(a + b/x^2)^3,x)","\frac{a^3\,x^2}{2}-\frac{\frac{b^3}{4}+\frac{3\,a\,b^2\,x^2}{2}}{x^4}+3\,a^2\,b\,\ln\left(x\right)","Not used",1,"(a^3*x^2)/2 - (b^3/4 + (3*a*b^2*x^2)/2)/x^4 + 3*a^2*b*log(x)","B"
1836,1,34,34,0.028806,"\text{Not used}","int((a + b/x^2)^3,x)","a^3\,x-\frac{3\,a^2\,b\,x^4+a\,b^2\,x^2+\frac{b^3}{5}}{x^5}","Not used",1,"a^3*x - (b^3/5 + a*b^2*x^2 + 3*a^2*b*x^4)/x^5","B"
1837,1,36,39,0.047700,"\text{Not used}","int((a + b/x^2)^3/x,x)","a^3\,\ln\left(x\right)-\frac{\frac{3\,a^2\,b\,x^4}{2}+\frac{3\,a\,b^2\,x^2}{4}+\frac{b^3}{6}}{x^6}","Not used",1,"a^3*log(x) - (b^3/6 + (3*a*b^2*x^2)/4 + (3*a^2*b*x^4)/2)/x^6","B"
1838,1,35,39,0.029403,"\text{Not used}","int((a + b/x^2)^3/x^2,x)","-\frac{a^3\,x^6+a^2\,b\,x^4+\frac{3\,a\,b^2\,x^2}{5}+\frac{b^3}{7}}{x^7}","Not used",1,"-(b^3/7 + a^3*x^6 + (3*a*b^2*x^2)/5 + a^2*b*x^4)/x^7","B"
1839,1,37,16,0.029120,"\text{Not used}","int((a + b/x^2)^3/x^3,x)","-\frac{\frac{a^3\,x^6}{2}+\frac{3\,a^2\,b\,x^4}{4}+\frac{a\,b^2\,x^2}{2}+\frac{b^3}{8}}{x^8}","Not used",1,"-(b^3/8 + (a^3*x^6)/2 + (a*b^2*x^2)/2 + (3*a^2*b*x^4)/4)/x^8","B"
1840,1,37,43,0.029361,"\text{Not used}","int((a + b/x^2)^3/x^4,x)","-\frac{\frac{a^3\,x^6}{3}+\frac{3\,a^2\,b\,x^4}{5}+\frac{3\,a\,b^2\,x^2}{7}+\frac{b^3}{9}}{x^9}","Not used",1,"-(b^3/9 + (a^3*x^6)/3 + (3*a*b^2*x^2)/7 + (3*a^2*b*x^4)/5)/x^9","B"
1841,1,37,40,0.031296,"\text{Not used}","int((a + b/x^2)^3/x^5,x)","-\frac{\frac{a^3\,x^6}{4}+\frac{a^2\,b\,x^4}{2}+\frac{3\,a\,b^2\,x^2}{8}+\frac{b^3}{10}}{x^{10}}","Not used",1,"-(b^3/10 + (a^3*x^6)/4 + (3*a*b^2*x^2)/8 + (a^2*b*x^4)/2)/x^10","B"
1842,1,37,43,0.031592,"\text{Not used}","int((a + b/x^2)^3/x^6,x)","-\frac{\frac{a^3\,x^6}{5}+\frac{3\,a^2\,b\,x^4}{7}+\frac{a\,b^2\,x^2}{3}+\frac{b^3}{11}}{x^{11}}","Not used",1,"-(b^3/11 + (a^3*x^6)/5 + (a*b^2*x^2)/3 + (3*a^2*b*x^4)/7)/x^11","B"
1843,1,54,68,1.099712,"\text{Not used}","int(x^6/(a + b/x^2),x)","\frac{x^7}{7\,a}-\frac{b\,x^5}{5\,a^2}-\frac{b^3\,x}{a^4}+\frac{b^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{a^{9/2}}+\frac{b^2\,x^3}{3\,a^3}","Not used",1,"x^7/(7*a) - (b*x^5)/(5*a^2) - (b^3*x)/a^4 + (b^(7/2)*atan((a^(1/2)*x)/b^(1/2)))/a^(9/2) + (b^2*x^3)/(3*a^3)","B"
1844,1,45,53,0.048035,"\text{Not used}","int(x^5/(a + b/x^2),x)","\frac{x^6}{6\,a}-\frac{b\,x^4}{4\,a^2}-\frac{b^3\,\ln\left(a\,x^2+b\right)}{2\,a^4}+\frac{b^2\,x^2}{2\,a^3}","Not used",1,"x^6/(6*a) - (b*x^4)/(4*a^2) - (b^3*log(b + a*x^2))/(2*a^4) + (b^2*x^2)/(2*a^3)","B"
1845,1,43,55,0.062732,"\text{Not used}","int(x^4/(a + b/x^2),x)","\frac{x^5}{5\,a}-\frac{b\,x^3}{3\,a^2}+\frac{b^2\,x}{a^3}-\frac{b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{a^{7/2}}","Not used",1,"x^5/(5*a) - (b*x^3)/(3*a^2) + (b^2*x)/a^3 - (b^(5/2)*atan((a^(1/2)*x)/b^(1/2)))/a^(7/2)","B"
1846,1,33,40,1.091364,"\text{Not used}","int(x^3/(a + b/x^2),x)","\frac{2\,b^2\,\ln\left(a\,x^2+b\right)+a^2\,x^4-2\,a\,b\,x^2}{4\,a^3}","Not used",1,"(2*b^2*log(b + a*x^2) + a^2*x^4 - 2*a*b*x^2)/(4*a^3)","B"
1847,1,32,42,0.048384,"\text{Not used}","int(x^2/(a + b/x^2),x)","\frac{x^3}{3\,a}+\frac{b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{a^{5/2}}-\frac{b\,x}{a^2}","Not used",1,"x^3/(3*a) + (b^(3/2)*atan((a^(1/2)*x)/b^(1/2)))/a^(5/2) - (b*x)/a^2","B"
1848,1,22,27,0.037060,"\text{Not used}","int(x/(a + b/x^2),x)","-\frac{b\,\ln\left(a\,x^2+b\right)-a\,x^2}{2\,a^2}","Not used",1,"-(b*log(b + a*x^2) - a*x^2)/(2*a^2)","B"
1849,1,23,31,1.085450,"\text{Not used}","int(1/(a + b/x^2),x)","\frac{x}{a}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{a^{3/2}}","Not used",1,"x/a - (b^(1/2)*atan((a^(1/2)*x)/b^(1/2)))/a^(3/2)","B"
1850,1,13,15,1.063692,"\text{Not used}","int(1/(x*(a + b/x^2)),x)","\frac{\ln\left(a\,x^2+b\right)}{2\,a}","Not used",1,"log(b + a*x^2)/(2*a)","B"
1851,1,16,24,0.045645,"\text{Not used}","int(1/(x^2*(a + b/x^2)),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{\sqrt{a}\,\sqrt{b}}","Not used",1,"atan((a^(1/2)*x)/b^(1/2))/(a^(1/2)*b^(1/2))","B"
1852,1,18,15,0.065321,"\text{Not used}","int(1/(x^3*(a + b/x^2)),x)","-\frac{\ln\left(a\,x^2+b\right)-2\,\ln\left(x\right)}{2\,b}","Not used",1,"-(log(b + a*x^2) - 2*log(x))/(2*b)","B"
1853,1,26,34,0.045265,"\text{Not used}","int(1/(x^4*(a + b/x^2)),x)","-\frac{1}{b\,x}-\frac{\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{b^{3/2}}","Not used",1,"- 1/(b*x) - (a^(1/2)*atan((a^(1/2)*x)/b^(1/2)))/b^(3/2)","B"
1854,1,31,35,0.073735,"\text{Not used}","int(1/(x^5*(a + b/x^2)),x)","\frac{a\,\ln\left(a\,x^2+b\right)}{2\,b^2}-\frac{1}{2\,b\,x^2}-\frac{a\,\ln\left(x\right)}{b^2}","Not used",1,"(a*log(b + a*x^2))/(2*b^2) - 1/(2*b*x^2) - (a*log(x))/b^2","B"
1855,1,37,43,1.078944,"\text{Not used}","int(1/(x^6*(a + b/x^2)),x)","\frac{a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{b^{5/2}}-\frac{\frac{1}{3\,b}-\frac{a\,x^2}{b^2}}{x^3}","Not used",1,"(a^(3/2)*atan((a^(1/2)*x)/b^(1/2)))/b^(5/2) - (1/(3*b) - (a*x^2)/b^2)/x^3","B"
1856,1,46,49,0.074913,"\text{Not used}","int(1/(x^7*(a + b/x^2)),x)","\frac{a^2\,\ln\left(x\right)}{b^3}-\frac{a^2\,\ln\left(a\,x^2+b\right)}{2\,b^3}-\frac{\frac{1}{4\,b}-\frac{a\,x^2}{2\,b^2}}{x^4}","Not used",1,"(a^2*log(x))/b^3 - (a^2*log(b + a*x^2))/(2*b^3) - (1/(4*b) - (a*x^2)/(2*b^2))/x^4","B"
1857,1,48,58,0.053503,"\text{Not used}","int(1/(x^8*(a + b/x^2)),x)","-\frac{\frac{1}{5\,b}-\frac{a\,x^2}{3\,b^2}+\frac{a^2\,x^4}{b^3}}{x^5}-\frac{a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{b^{7/2}}","Not used",1,"- (1/(5*b) - (a*x^2)/(3*b^2) + (a^2*x^4)/b^3)/x^5 - (a^(5/2)*atan((a^(1/2)*x)/b^(1/2)))/b^(7/2)","B"
1858,1,77,92,1.096233,"\text{Not used}","int(x^6/(a + b/x^2)^2,x)","\frac{x^7}{7\,a^2}-\frac{2\,b\,x^5}{5\,a^3}-\frac{4\,b^3\,x}{a^5}+\frac{9\,b^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{2\,a^{11/2}}+\frac{b^2\,x^3}{a^4}-\frac{b^4\,x}{2\,\left(a^6\,x^2+b\,a^5\right)}","Not used",1,"x^7/(7*a^2) - (2*b*x^5)/(5*a^3) - (4*b^3*x)/a^5 + (9*b^(7/2)*atan((a^(1/2)*x)/b^(1/2)))/(2*a^(11/2)) + (b^2*x^3)/a^4 - (b^4*x)/(2*(a^5*b + a^6*x^2))","B"
1859,1,68,70,0.040556,"\text{Not used}","int(x^5/(a + b/x^2)^2,x)","\frac{x^6}{6\,a^2}-\frac{b^4}{2\,a\,\left(a^5\,x^2+b\,a^4\right)}-\frac{b\,x^4}{2\,a^3}-\frac{2\,b^3\,\ln\left(a\,x^2+b\right)}{a^5}+\frac{3\,b^2\,x^2}{2\,a^4}","Not used",1,"x^6/(6*a^2) - b^4/(2*a*(a^4*b + a^5*x^2)) - (b*x^4)/(2*a^3) - (2*b^3*log(b + a*x^2))/a^5 + (3*b^2*x^2)/(2*a^4)","B"
1860,1,66,79,0.045865,"\text{Not used}","int(x^4/(a + b/x^2)^2,x)","\frac{x^5}{5\,a^2}-\frac{2\,b\,x^3}{3\,a^3}+\frac{3\,b^2\,x}{a^4}-\frac{7\,b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{2\,a^{9/2}}+\frac{b^3\,x}{2\,\left(a^5\,x^2+b\,a^4\right)}","Not used",1,"x^5/(5*a^2) - (2*b*x^3)/(3*a^3) + (3*b^2*x)/a^4 - (7*b^(5/2)*atan((a^(1/2)*x)/b^(1/2)))/(2*a^(9/2)) + (b^3*x)/(2*(a^4*b + a^5*x^2))","B"
1861,1,57,57,0.049829,"\text{Not used}","int(x^3/(a + b/x^2)^2,x)","\frac{x^4}{4\,a^2}+\frac{b^3}{2\,a\,\left(a^4\,x^2+b\,a^3\right)}-\frac{b\,x^2}{a^3}+\frac{3\,b^2\,\ln\left(a\,x^2+b\right)}{2\,a^4}","Not used",1,"x^4/(4*a^2) + b^3/(2*a*(a^3*b + a^4*x^2)) - (b*x^2)/a^3 + (3*b^2*log(b + a*x^2))/(2*a^4)","B"
1862,1,56,66,0.068105,"\text{Not used}","int(x^2/(a + b/x^2)^2,x)","\frac{x^3}{3\,a^2}+\frac{5\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{2\,a^{7/2}}-\frac{b^2\,x}{2\,\left(a^4\,x^2+b\,a^3\right)}-\frac{2\,b\,x}{a^3}","Not used",1,"x^3/(3*a^2) + (5*b^(3/2)*atan((a^(1/2)*x)/b^(1/2)))/(2*a^(7/2)) - (b^2*x)/(2*(a^3*b + a^4*x^2)) - (2*b*x)/a^3","B"
1863,1,45,44,1.079405,"\text{Not used}","int(x/(a + b/x^2)^2,x)","\frac{x^2}{2\,a^2}-\frac{b^2}{2\,\left(a^4\,x^2+b\,a^3\right)}-\frac{b\,\ln\left(a\,x^2+b\right)}{a^3}","Not used",1,"x^2/(2*a^2) - b^2/(2*(a^3*b + a^4*x^2)) - (b*log(b + a*x^2))/a^3","B"
1864,1,43,55,1.101424,"\text{Not used}","int(1/(a + b/x^2)^2,x)","\frac{x}{a^2}+\frac{b\,x}{2\,\left(a^3\,x^2+b\,a^2\right)}-\frac{3\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{2\,a^{5/2}}","Not used",1,"x/a^2 + (b*x)/(2*(a^2*b + a^3*x^2)) - (3*b^(1/2)*atan((a^(1/2)*x)/b^(1/2)))/(2*a^(5/2))","B"
1865,1,29,33,0.043459,"\text{Not used}","int(1/(x*(a + b/x^2)^2),x)","\frac{\ln\left(a\,x^2+b\right)}{2\,a^2}+\frac{b}{2\,a^2\,\left(a\,x^2+b\right)}","Not used",1,"log(b + a*x^2)/(2*a^2) + b/(2*a^2*(b + a*x^2))","B"
1866,1,33,45,0.039227,"\text{Not used}","int(1/(x^2*(a + b/x^2)^2),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{2\,a^{3/2}\,\sqrt{b}}-\frac{x}{2\,a\,\left(a\,x^2+b\right)}","Not used",1,"atan((a^(1/2)*x)/b^(1/2))/(2*a^(3/2)*b^(1/2)) - x/(2*a*(b + a*x^2))","B"
1867,1,14,16,0.024015,"\text{Not used}","int(1/(x^3*(a + b/x^2)^2),x)","-\frac{1}{2\,a\,\left(a\,x^2+b\right)}","Not used",1,"-1/(2*a*(b + a*x^2))","B"
1868,1,33,45,0.038613,"\text{Not used}","int(1/(x^4*(a + b/x^2)^2),x)","\frac{x}{2\,b\,\left(a\,x^2+b\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{2\,\sqrt{a}\,b^{3/2}}","Not used",1,"x/(2*b*(b + a*x^2)) + atan((a^(1/2)*x)/b^(1/2))/(2*a^(1/2)*b^(3/2))","B"
1869,1,34,38,0.059824,"\text{Not used}","int(1/(x^5*(a + b/x^2)^2),x)","\frac{\ln\left(x\right)}{b^2}+\frac{1}{2\,b\,\left(a\,x^2+b\right)}-\frac{\ln\left(a\,x^2+b\right)}{2\,b^2}","Not used",1,"log(x)/b^2 + 1/(2*b*(b + a*x^2)) - log(b + a*x^2)/(2*b^2)","B"
1870,1,44,57,1.114756,"\text{Not used}","int(1/(x^6*(a + b/x^2)^2),x)","-\frac{\frac{1}{b}+\frac{3\,a\,x^2}{2\,b^2}}{a\,x^3+b\,x}-\frac{3\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{2\,b^{5/2}}","Not used",1,"- (1/b + (3*a*x^2)/(2*b^2))/(b*x + a*x^3) - (3*a^(1/2)*atan((a^(1/2)*x)/b^(1/2)))/(2*b^(5/2))","B"
1871,1,51,49,1.119853,"\text{Not used}","int(1/(x^7*(a + b/x^2)^2),x)","\frac{a\,\ln\left(a\,x^2+b\right)}{b^3}-\frac{\frac{1}{2\,b}+\frac{a\,x^2}{b^2}}{a\,x^4+b\,x^2}-\frac{2\,a\,\ln\left(x\right)}{b^3}","Not used",1,"(a*log(b + a*x^2))/b^3 - (1/(2*b) + (a*x^2)/b^2)/(a*x^4 + b*x^2) - (2*a*log(x))/b^3","B"
1872,1,58,68,1.168572,"\text{Not used}","int(1/(x^8*(a + b/x^2)^2),x)","\frac{\frac{5\,a\,x^2}{3\,b^2}-\frac{1}{3\,b}+\frac{5\,a^2\,x^4}{2\,b^3}}{a\,x^5+b\,x^3}+\frac{5\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{2\,b^{7/2}}","Not used",1,"((5*a*x^2)/(3*b^2) - 1/(3*b) + (5*a^2*x^4)/(2*b^3))/(a*x^5 + b*x^3) + (5*a^(3/2)*atan((a^(1/2)*x)/b^(1/2)))/(2*b^(7/2))","B"
1873,1,67,66,0.076251,"\text{Not used}","int(1/(x^9*(a + b/x^2)^2),x)","\frac{\frac{3\,a\,x^2}{4\,b^2}-\frac{1}{4\,b}+\frac{3\,a^2\,x^4}{2\,b^3}}{a\,x^6+b\,x^4}-\frac{3\,a^2\,\ln\left(a\,x^2+b\right)}{2\,b^4}+\frac{3\,a^2\,\ln\left(x\right)}{b^4}","Not used",1,"((3*a*x^2)/(4*b^2) - 1/(4*b) + (3*a^2*x^4)/(2*b^3))/(a*x^6 + b*x^4) - (3*a^2*log(b + a*x^2))/(2*b^4) + (3*a^2*log(x))/b^4","B"
1874,1,90,87,0.064652,"\text{Not used}","int(x^5/(a + b/x^2)^3,x)","\frac{x^6}{6\,a^3}-\frac{\frac{9\,b^5}{4\,a}+\frac{5\,b^4\,x^2}{2}}{a^7\,x^4+2\,a^6\,b\,x^2+a^5\,b^2}-\frac{3\,b\,x^4}{4\,a^4}-\frac{5\,b^3\,\ln\left(a\,x^2+b\right)}{a^6}+\frac{3\,b^2\,x^2}{a^5}","Not used",1,"x^6/(6*a^3) - ((9*b^5)/(4*a) + (5*b^4*x^2)/2)/(a^5*b^2 + a^7*x^4 + 2*a^6*b*x^2) - (3*b*x^4)/(4*a^4) - (5*b^3*log(b + a*x^2))/a^6 + (3*b^2*x^2)/a^5","B"
1875,1,87,98,1.106326,"\text{Not used}","int(x^4/(a + b/x^2)^3,x)","\frac{\frac{15\,b^4\,x}{8}+\frac{17\,a\,b^3\,x^3}{8}}{a^7\,x^4+2\,a^6\,b\,x^2+a^5\,b^2}+\frac{x^5}{5\,a^3}-\frac{b\,x^3}{a^4}+\frac{6\,b^2\,x}{a^5}-\frac{63\,b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{8\,a^{11/2}}","Not used",1,"((15*b^4*x)/8 + (17*a*b^3*x^3)/8)/(a^5*b^2 + a^7*x^4 + 2*a^6*b*x^2) + x^5/(5*a^3) - (b*x^3)/a^4 + (6*b^2*x)/a^5 - (63*b^(5/2)*atan((a^(1/2)*x)/b^(1/2)))/(8*a^(11/2))","B"
1876,1,78,74,1.132219,"\text{Not used}","int(x^3/(a + b/x^2)^3,x)","\frac{\frac{7\,b^4}{4\,a}+2\,b^3\,x^2}{a^6\,x^4+2\,a^5\,b\,x^2+a^4\,b^2}+\frac{x^4}{4\,a^3}-\frac{3\,b\,x^2}{2\,a^4}+\frac{3\,b^2\,\ln\left(a\,x^2+b\right)}{a^5}","Not used",1,"((7*b^4)/(4*a) + 2*b^3*x^2)/(a^4*b^2 + a^6*x^4 + 2*a^5*b*x^2) + x^4/(4*a^3) - (3*b*x^2)/(2*a^4) + (3*b^2*log(b + a*x^2))/a^5","B"
1877,1,77,85,1.136754,"\text{Not used}","int(x^2/(a + b/x^2)^3,x)","\frac{x^3}{3\,a^3}-\frac{\frac{11\,b^3\,x}{8}+\frac{13\,a\,b^2\,x^3}{8}}{a^6\,x^4+2\,a^5\,b\,x^2+a^4\,b^2}+\frac{35\,b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{8\,a^{9/2}}-\frac{3\,b\,x}{a^4}","Not used",1,"x^3/(3*a^3) - ((11*b^3*x)/8 + (13*a*b^2*x^3)/8)/(a^4*b^2 + a^6*x^4 + 2*a^5*b*x^2) + (35*b^(3/2)*atan((a^(1/2)*x)/b^(1/2)))/(8*a^(9/2)) - (3*b*x)/a^4","B"
1878,1,68,65,1.109744,"\text{Not used}","int(x/(a + b/x^2)^3,x)","\frac{x^2}{2\,a^3}-\frac{\frac{5\,b^3}{4\,a}+\frac{3\,b^2\,x^2}{2}}{a^5\,x^4+2\,a^4\,b\,x^2+a^3\,b^2}-\frac{3\,b\,\ln\left(a\,x^2+b\right)}{2\,a^4}","Not used",1,"x^2/(2*a^3) - ((5*b^3)/(4*a) + (3*b^2*x^2)/2)/(a^3*b^2 + a^5*x^4 + 2*a^4*b*x^2) - (3*b*log(b + a*x^2))/(2*a^4)","B"
1879,1,64,74,1.362366,"\text{Not used}","int(1/(a + b/x^2)^3,x)","\frac{\frac{7\,b^2\,x}{8}+\frac{9\,a\,b\,x^3}{8}}{a^5\,x^4+2\,a^4\,b\,x^2+a^3\,b^2}+\frac{x}{a^3}-\frac{15\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{8\,a^{7/2}}","Not used",1,"((7*b^2*x)/8 + (9*a*b*x^3)/8)/(a^3*b^2 + a^5*x^4 + 2*a^4*b*x^2) + x/a^3 - (15*b^(1/2)*atan((a^(1/2)*x)/b^(1/2)))/(8*a^(7/2))","B"
1880,1,52,49,1.112521,"\text{Not used}","int(1/(x*(a + b/x^2)^3),x)","\frac{\frac{3\,b^2}{4\,a^3}+\frac{b\,x^2}{a^2}}{a^2\,x^4+2\,a\,b\,x^2+b^2}+\frac{\ln\left(a\,x^2+b\right)}{2\,a^3}","Not used",1,"((3*b^2)/(4*a^3) + (b*x^2)/a^2)/(b^2 + a^2*x^4 + 2*a*b*x^2) + log(b + a*x^2)/(2*a^3)","B"
1881,1,56,64,1.130624,"\text{Not used}","int(1/(x^2*(a + b/x^2)^3),x)","\frac{3\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{8\,a^{5/2}\,\sqrt{b}}-\frac{\frac{5\,x^3}{8\,a}+\frac{3\,b\,x}{8\,a^2}}{a^2\,x^4+2\,a\,b\,x^2+b^2}","Not used",1,"(3*atan((a^(1/2)*x)/b^(1/2)))/(8*a^(5/2)*b^(1/2)) - ((5*x^3)/(8*a) + (3*b*x)/(8*a^2))/(b^2 + a^2*x^4 + 2*a*b*x^2)","B"
1882,1,37,16,1.080060,"\text{Not used}","int(1/(x^3*(a + b/x^2)^3),x)","-\frac{\frac{b}{4\,a^2}+\frac{x^2}{2\,a}}{a^2\,x^4+2\,a\,b\,x^2+b^2}","Not used",1,"-(b/(4*a^2) + x^2/(2*a))/(b^2 + a^2*x^4 + 2*a*b*x^2)","B"
1883,1,55,65,1.115633,"\text{Not used}","int(1/(x^4*(a + b/x^2)^3),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{8\,a^{3/2}\,b^{3/2}}-\frac{\frac{x}{8\,a}-\frac{x^3}{8\,b}}{a^2\,x^4+2\,a\,b\,x^2+b^2}","Not used",1,"atan((a^(1/2)*x)/b^(1/2))/(8*a^(3/2)*b^(3/2)) - (x/(8*a) - x^3/(8*b))/(b^2 + a^2*x^4 + 2*a*b*x^2)","B"
1884,1,28,16,1.073522,"\text{Not used}","int(1/(x^5*(a + b/x^2)^3),x)","-\frac{1}{4\,a^3\,x^4+8\,a^2\,b\,x^2+4\,a\,b^2}","Not used",1,"-1/(4*a*b^2 + 4*a^3*x^4 + 8*a^2*b*x^2)","B"
1885,1,55,62,0.065890,"\text{Not used}","int(1/(x^6*(a + b/x^2)^3),x)","\frac{\frac{5\,x}{8\,b}+\frac{3\,a\,x^3}{8\,b^2}}{a^2\,x^4+2\,a\,b\,x^2+b^2}+\frac{3\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{8\,\sqrt{a}\,b^{5/2}}","Not used",1,"((5*x)/(8*b) + (3*a*x^3)/(8*b^2))/(b^2 + a^2*x^4 + 2*a*b*x^2) + (3*atan((a^(1/2)*x)/b^(1/2)))/(8*a^(1/2)*b^(5/2))","B"
1886,1,56,54,1.136170,"\text{Not used}","int(1/(x^7*(a + b/x^2)^3),x)","\frac{\ln\left(x\right)}{b^3}+\frac{\frac{3}{4\,b}+\frac{a\,x^2}{2\,b^2}}{a^2\,x^4+2\,a\,b\,x^2+b^2}-\frac{\ln\left(a\,x^2+b\right)}{2\,b^3}","Not used",1,"log(x)/b^3 + (3/(4*b) + (a*x^2)/(2*b^2))/(b^2 + a^2*x^4 + 2*a*b*x^2) - log(b + a*x^2)/(2*b^3)","B"
1887,1,66,76,1.186113,"\text{Not used}","int(1/(x^8*(a + b/x^2)^3),x)","-\frac{\frac{1}{b}+\frac{25\,a\,x^2}{8\,b^2}+\frac{15\,a^2\,x^4}{8\,b^3}}{a^2\,x^5+2\,a\,b\,x^3+b^2\,x}-\frac{15\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{8\,b^{7/2}}","Not used",1,"- (1/b + (25*a*x^2)/(8*b^2) + (15*a^2*x^4)/(8*b^3))/(b^2*x + a^2*x^5 + 2*a*b*x^3) - (15*a^(1/2)*atan((a^(1/2)*x)/b^(1/2)))/(8*b^(7/2))","B"
1888,1,75,67,0.079495,"\text{Not used}","int(1/(x^9*(a + b/x^2)^3),x)","\frac{3\,a\,\ln\left(a\,x^2+b\right)}{2\,b^4}-\frac{\frac{1}{2\,b}+\frac{9\,a\,x^2}{4\,b^2}+\frac{3\,a^2\,x^4}{2\,b^3}}{a^2\,x^6+2\,a\,b\,x^4+b^2\,x^2}-\frac{3\,a\,\ln\left(x\right)}{b^4}","Not used",1,"(3*a*log(b + a*x^2))/(2*b^4) - (1/(2*b) + (9*a*x^2)/(4*b^2) + (3*a^2*x^4)/(2*b^3))/(a^2*x^6 + b^2*x^2 + 2*a*b*x^4) - (3*a*log(x))/b^4","B"
1889,1,80,87,1.171509,"\text{Not used}","int(1/(x^10*(a + b/x^2)^3),x)","\frac{\frac{7\,a\,x^2}{3\,b^2}-\frac{1}{3\,b}+\frac{175\,a^2\,x^4}{24\,b^3}+\frac{35\,a^3\,x^6}{8\,b^4}}{a^2\,x^7+2\,a\,b\,x^5+b^2\,x^3}+\frac{35\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{8\,b^{9/2}}","Not used",1,"((7*a*x^2)/(3*b^2) - 1/(3*b) + (175*a^2*x^4)/(24*b^3) + (35*a^3*x^6)/(8*b^4))/(a^2*x^7 + b^2*x^3 + 2*a*b*x^5) + (35*a^(3/2)*atan((a^(1/2)*x)/b^(1/2)))/(8*b^(9/2))","B"
1890,1,88,86,1.145703,"\text{Not used}","int(1/(x^11*(a + b/x^2)^3),x)","\frac{\frac{a\,x^2}{b^2}-\frac{1}{4\,b}+\frac{9\,a^2\,x^4}{2\,b^3}+\frac{3\,a^3\,x^6}{b^4}}{a^2\,x^8+2\,a\,b\,x^6+b^2\,x^4}-\frac{3\,a^2\,\ln\left(a\,x^2+b\right)}{b^5}+\frac{6\,a^2\,\ln\left(x\right)}{b^5}","Not used",1,"((a*x^2)/b^2 - 1/(4*b) + (9*a^2*x^4)/(2*b^3) + (3*a^3*x^6)/b^4)/(a^2*x^8 + b^2*x^4 + 2*a*b*x^6) - (3*a^2*log(b + a*x^2))/b^5 + (6*a^2*log(x))/b^5","B"
1891,1,54,71,1.606848,"\text{Not used}","int(x^3*(a + b/x^2)^(1/2),x)","\frac{x^4\,\sqrt{a+\frac{b}{x^2}}}{8}-\frac{b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)}{8\,a^{3/2}}+\frac{x^4\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}{8\,a}","Not used",1,"(x^4*(a + b/x^2)^(1/2))/8 - (b^2*atanh((a + b/x^2)^(1/2)/a^(1/2)))/(8*a^(3/2)) + (x^4*(a + b/x^2)^(3/2))/(8*a)","B"
1892,1,23,21,1.240287,"\text{Not used}","int(x^2*(a + b/x^2)^(1/2),x)","\sqrt{a+\frac{b}{x^2}}\,\left(\frac{x^3}{3}+\frac{b\,x}{3\,a}\right)","Not used",1,"(a + b/x^2)^(1/2)*(x^3/3 + (b*x)/(3*a))","B"
1893,1,35,47,1.384704,"\text{Not used}","int(x*(a + b/x^2)^(1/2),x)","\frac{x^2\,\sqrt{a+\frac{b}{x^2}}}{2}+\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)}{2\,\sqrt{a}}","Not used",1,"(x^2*(a + b/x^2)^(1/2))/2 + (b*atanh((a + b/x^2)^(1/2)/a^(1/2)))/(2*a^(1/2))","B"
1894,1,55,42,1.139039,"\text{Not used}","int((a + b/x^2)^(1/2),x)","x\,\sqrt{a+\frac{b}{x^2}}+\frac{\sqrt{b}\,\mathrm{asin}\left(\frac{\sqrt{b}\,1{}\mathrm{i}}{\sqrt{a}\,x}\right)\,\sqrt{a+\frac{b}{x^2}}\,1{}\mathrm{i}}{\sqrt{a}\,\sqrt{\frac{b}{a\,x^2}+1}}","Not used",1,"x*(a + b/x^2)^(1/2) + (b^(1/2)*asin((b^(1/2)*1i)/(a^(1/2)*x))*(a + b/x^2)^(1/2)*1i)/(a^(1/2)*(b/(a*x^2) + 1)^(1/2))","B"
1895,1,30,38,1.300052,"\text{Not used}","int((a + b/x^2)^(1/2)/x,x)","\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)-\sqrt{a+\frac{b}{x^2}}","Not used",1,"a^(1/2)*atanh((a + b/x^2)^(1/2)/a^(1/2)) - (a + b/x^2)^(1/2)","B"
1896,1,39,50,1.414011,"\text{Not used}","int((a + b/x^2)^(1/2)/x^2,x)","-\frac{\sqrt{a+\frac{b}{x^2}}}{2\,x}-\frac{a\,\ln\left(\sqrt{a+\frac{b}{x^2}}+\frac{\sqrt{b}}{x}\right)}{2\,\sqrt{b}}","Not used",1,"- (a + b/x^2)^(1/2)/(2*x) - (a*log((a + b/x^2)^(1/2) + b^(1/2)/x))/(2*b^(1/2))","B"
1897,1,24,18,1.253891,"\text{Not used}","int((a + b/x^2)^(1/2)/x^3,x)","-\frac{\sqrt{a+\frac{b}{x^2}}\,\left(a\,x^2+b\right)}{3\,b\,x^2}","Not used",1,"-((a + b/x^2)^(1/2)*(b + a*x^2))/(3*b*x^2)","B"
1898,0,-1,74,0.000000,"\text{Not used}","int((a + b/x^2)^(1/2)/x^4,x)","\int \frac{\sqrt{a+\frac{b}{x^2}}}{x^4} \,d x","Not used",1,"int((a + b/x^2)^(1/2)/x^4, x)","F"
1899,1,52,68,1.650132,"\text{Not used}","int(x^3*(a + b/x^2)^(3/2),x)","\frac{5\,x^4\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}{8}+\frac{3\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)}{8\,\sqrt{a}}-\frac{3\,a\,x^4\,\sqrt{a+\frac{b}{x^2}}}{8}","Not used",1,"(5*x^4*(a + b/x^2)^(3/2))/8 + (3*b^2*atanh((a + b/x^2)^(1/2)/a^(1/2)))/(8*a^(1/2)) - (3*a*x^4*(a + b/x^2)^(1/2))/8","B"
1900,0,-1,61,0.000000,"\text{Not used}","int(x^2*(a + b/x^2)^(3/2),x)","\int x^2\,{\left(a+\frac{b}{x^2}\right)}^{3/2} \,d x","Not used",1,"int(x^2*(a + b/x^2)^(3/2), x)","F"
1901,1,48,63,1.561984,"\text{Not used}","int(x*(a + b/x^2)^(3/2),x)","\frac{a\,x^2\,\sqrt{a+\frac{b}{x^2}}}{2}-b\,\sqrt{a+\frac{b}{x^2}}+\frac{3\,\sqrt{a}\,b\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)}{2}","Not used",1,"(a*x^2*(a + b/x^2)^(1/2))/2 - b*(a + b/x^2)^(1/2) + (3*a^(1/2)*b*atanh((a + b/x^2)^(1/2)/a^(1/2)))/2","B"
1902,1,36,64,1.313842,"\text{Not used}","int((a + b/x^2)^(3/2),x)","\frac{x\,{\left(a\,x^2+b\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},-\frac{1}{2};\ \frac{1}{2};\ -\frac{b}{a\,x^2}\right)}{{\left(\frac{b}{a}+x^2\right)}^{3/2}}","Not used",1,"(x*(b + a*x^2)^(3/2)*hypergeom([-3/2, -1/2], 1/2, -b/(a*x^2)))/(b/a + x^2)^(3/2)","B"
1903,1,42,54,1.407381,"\text{Not used}","int((a + b/x^2)^(3/2)/x,x)","a^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)-a\,\sqrt{a+\frac{b}{x^2}}-\frac{{\left(a+\frac{b}{x^2}\right)}^{3/2}}{3}","Not used",1,"a^(3/2)*atanh((a + b/x^2)^(1/2)/a^(1/2)) - a*(a + b/x^2)^(1/2) - (a + b/x^2)^(3/2)/3","B"
1904,1,39,71,1.531751,"\text{Not used}","int((a + b/x^2)^(3/2)/x^2,x)","-\frac{{\left(a\,x^2+b\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{1}{2};\ \frac{3}{2};\ -\frac{b}{a\,x^2}\right)}{x\,{\left(\frac{b}{a}+x^2\right)}^{3/2}}","Not used",1,"-((b + a*x^2)^(3/2)*hypergeom([-3/2, 1/2], 3/2, -b/(a*x^2)))/(x*(b/a + x^2)^(3/2))","B"
1905,1,26,18,1.463623,"\text{Not used}","int((a + b/x^2)^(3/2)/x^3,x)","-\frac{\sqrt{a+\frac{b}{x^2}}\,{\left(a\,x^2+b\right)}^2}{5\,b\,x^4}","Not used",1,"-((a + b/x^2)^(1/2)*(b + a*x^2)^2)/(5*b*x^4)","B"
1906,0,-1,95,0.000000,"\text{Not used}","int((a + b/x^2)^(3/2)/x^4,x)","\int \frac{{\left(a+\frac{b}{x^2}\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((a + b/x^2)^(3/2)/x^4, x)","F"
1907,1,72,86,1.841022,"\text{Not used}","int(x^3*(a + b/x^2)^(5/2),x)","\frac{9\,a\,x^4\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}{8}-b^2\,\sqrt{a+\frac{b}{x^2}}-\frac{7\,a^2\,x^4\,\sqrt{a+\frac{b}{x^2}}}{8}-\frac{\sqrt{a}\,b^2\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x^2}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,15{}\mathrm{i}}{8}","Not used",1,"(9*a*x^4*(a + b/x^2)^(3/2))/8 - (a^(1/2)*b^2*atan(((a + b/x^2)^(1/2)*1i)/a^(1/2))*15i)/8 - b^2*(a + b/x^2)^(1/2) - (7*a^2*x^4*(a + b/x^2)^(1/2))/8","B"
1908,0,-1,88,0.000000,"\text{Not used}","int(x^2*(a + b/x^2)^(5/2),x)","\int x^2\,{\left(a+\frac{b}{x^2}\right)}^{5/2} \,d x","Not used",1,"int(x^2*(a + b/x^2)^(5/2), x)","F"
1909,1,66,80,1.753541,"\text{Not used}","int(x*(a + b/x^2)^(5/2),x)","\frac{a^2\,x^2\,\sqrt{a+\frac{b}{x^2}}}{2}-\frac{b\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}{3}-2\,a\,b\,\sqrt{a+\frac{b}{x^2}}-\frac{a^{3/2}\,b\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x^2}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{2}","Not used",1,"(a^2*x^2*(a + b/x^2)^(1/2))/2 - (b*(a + b/x^2)^(3/2))/3 - (a^(3/2)*b*atan(((a + b/x^2)^(1/2)*1i)/a^(1/2))*5i)/2 - 2*a*b*(a + b/x^2)^(1/2)","B"
1910,1,36,86,1.486764,"\text{Not used}","int((a + b/x^2)^(5/2),x)","\frac{x\,{\left(a\,x^2+b\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{2},-\frac{1}{2};\ \frac{1}{2};\ -\frac{b}{a\,x^2}\right)}{{\left(\frac{b}{a}+x^2\right)}^{5/2}}","Not used",1,"(x*(b + a*x^2)^(5/2)*hypergeom([-5/2, -1/2], 1/2, -b/(a*x^2)))/(b/a + x^2)^(5/2)","B"
1911,1,60,72,1.653271,"\text{Not used}","int((a + b/x^2)^(5/2)/x,x)","-\frac{a\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}{3}-\frac{{\left(a+\frac{b}{x^2}\right)}^{5/2}}{5}-a^2\,\sqrt{a+\frac{b}{x^2}}-a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x^2}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}","Not used",1,"- a^(5/2)*atan(((a + b/x^2)^(1/2)*1i)/a^(1/2))*1i - (a*(a + b/x^2)^(3/2))/3 - (a + b/x^2)^(5/2)/5 - a^2*(a + b/x^2)^(1/2)","B"
1912,1,39,92,1.785164,"\text{Not used}","int((a + b/x^2)^(5/2)/x^2,x)","-\frac{{\left(a\,x^2+b\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{2},\frac{1}{2};\ \frac{3}{2};\ -\frac{b}{a\,x^2}\right)}{x\,{\left(\frac{b}{a}+x^2\right)}^{5/2}}","Not used",1,"-((b + a*x^2)^(5/2)*hypergeom([-5/2, 1/2], 3/2, -b/(a*x^2)))/(x*(b/a + x^2)^(5/2))","B"
1913,1,68,18,1.749351,"\text{Not used}","int((a + b/x^2)^(5/2)/x^3,x)","-\frac{a^3\,\sqrt{a+\frac{b}{x^2}}}{7\,b}-\frac{3\,a^2\,\sqrt{a+\frac{b}{x^2}}}{7\,x^2}-\frac{b^2\,\sqrt{a+\frac{b}{x^2}}}{7\,x^6}-\frac{3\,a\,b\,\sqrt{a+\frac{b}{x^2}}}{7\,x^4}","Not used",1,"- (a^3*(a + b/x^2)^(1/2))/(7*b) - (3*a^2*(a + b/x^2)^(1/2))/(7*x^2) - (b^2*(a + b/x^2)^(1/2))/(7*x^6) - (3*a*b*(a + b/x^2)^(1/2))/(7*x^4)","B"
1914,0,-1,116,0.000000,"\text{Not used}","int((a + b/x^2)^(5/2)/x^4,x)","\int \frac{{\left(a+\frac{b}{x^2}\right)}^{5/2}}{x^4} \,d x","Not used",1,"int((a + b/x^2)^(5/2)/x^4, x)","F"
1915,1,57,74,1.580507,"\text{Not used}","int(x^3/(a + b/x^2)^(1/2),x)","\frac{3\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)}{8\,a^{5/2}}+\frac{5\,x^4\,\sqrt{a+\frac{b}{x^2}}}{8\,a}-\frac{3\,x^4\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}{8\,a^2}","Not used",1,"(3*b^2*atanh((a + b/x^2)^(1/2)/a^(1/2)))/(8*a^(5/2)) + (5*x^4*(a + b/x^2)^(1/2))/(8*a) - (3*x^4*(a + b/x^2)^(3/2))/(8*a^2)","B"
1916,1,38,50,1.432535,"\text{Not used}","int(x/(a + b/x^2)^(1/2),x)","\frac{x^2\,\sqrt{a+\frac{b}{x^2}}}{2\,a}-\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)}{2\,a^{3/2}}","Not used",1,"(x^2*(a + b/x^2)^(1/2))/(2*a) - (b*atanh((a + b/x^2)^(1/2)/a^(1/2)))/(2*a^(3/2))","B"
1917,1,18,24,1.309813,"\text{Not used}","int(1/(x*(a + b/x^2)^(1/2)),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)}{\sqrt{a}}","Not used",1,"atanh((a + b/x^2)^(1/2)/a^(1/2))/a^(1/2)","B"
1918,1,14,16,1.207577,"\text{Not used}","int(1/(x^3*(a + b/x^2)^(1/2)),x)","-\frac{\sqrt{a+\frac{b}{x^2}}}{b}","Not used",1,"-(a + b/x^2)^(1/2)/b","B"
1919,1,25,35,1.237628,"\text{Not used}","int(1/(x^5*(a + b/x^2)^(1/2)),x)","-\frac{\sqrt{a+\frac{b}{x^2}}\,\left(b-2\,a\,x^2\right)}{3\,b^2\,x^2}","Not used",1,"-((a + b/x^2)^(1/2)*(b - 2*a*x^2))/(3*b^2*x^2)","B"
1920,1,56,57,1.283712,"\text{Not used}","int(1/(x^7*(a + b/x^2)^(1/2)),x)","-\frac{3\,b^2\,\sqrt{a+\frac{b}{x^2}}+8\,a^2\,x^4\,\sqrt{a+\frac{b}{x^2}}-4\,a\,b\,x^2\,\sqrt{a+\frac{b}{x^2}}}{15\,b^3\,x^4}","Not used",1,"-(3*b^2*(a + b/x^2)^(1/2) + 8*a^2*x^4*(a + b/x^2)^(1/2) - 4*a*b*x^2*(a + b/x^2)^(1/2))/(15*b^3*x^4)","B"
1921,1,73,75,1.323580,"\text{Not used}","int(1/(x^9*(a + b/x^2)^(1/2)),x)","\frac{16\,a^3\,\sqrt{a+\frac{b}{x^2}}}{35\,b^4}-\frac{\sqrt{a+\frac{b}{x^2}}}{7\,b\,x^6}+\frac{6\,a\,\sqrt{a+\frac{b}{x^2}}}{35\,b^2\,x^4}-\frac{8\,a^2\,\sqrt{a+\frac{b}{x^2}}}{35\,b^3\,x^2}","Not used",1,"(16*a^3*(a + b/x^2)^(1/2))/(35*b^4) - (a + b/x^2)^(1/2)/(7*b*x^6) + (6*a*(a + b/x^2)^(1/2))/(35*b^2*x^4) - (8*a^2*(a + b/x^2)^(1/2))/(35*b^3*x^2)","B"
1922,1,38,66,1.557995,"\text{Not used}","int(x^4/(a + b/x^2)^(1/2),x)","\frac{x^5\,\sqrt{a+\frac{b}{x^2}}\,\left(3\,a^2+\frac{8\,b^2}{x^4}-\frac{4\,a\,b}{x^2}\right)}{15\,a^3}","Not used",1,"(x^5*(a + b/x^2)^(1/2)*(3*a^2 + (8*b^2)/x^4 - (4*a*b)/x^2))/(15*a^3)","B"
1923,1,25,42,1.403733,"\text{Not used}","int(x^2/(a + b/x^2)^(1/2),x)","\frac{x^3\,\sqrt{a+\frac{b}{x^2}}\,\left(a-\frac{2\,b}{x^2}\right)}{3\,a^2}","Not used",1,"(x^3*(a + b/x^2)^(1/2)*(a - (2*b)/x^2))/(3*a^2)","B"
1924,1,39,16,1.167965,"\text{Not used}","int(1/(a + b/x^2)^(1/2),x)","\frac{x\,\sqrt{\frac{a\,x^2}{b}+1}}{\sqrt{a+\frac{b}{x^2}}\,\left(\sqrt{\frac{a\,x^2}{b}+1}+1\right)}","Not used",1,"(x*((a*x^2)/b + 1)^(1/2))/((a + b/x^2)^(1/2)*(((a*x^2)/b + 1)^(1/2) + 1))","B"
1925,1,23,28,1.399072,"\text{Not used}","int(1/(x^2*(a + b/x^2)^(1/2)),x)","-\frac{\ln\left(\sqrt{a+\frac{b}{x^2}}+\frac{\sqrt{b}}{x}\right)}{\sqrt{b}}","Not used",1,"-log((a + b/x^2)^(1/2) + b^(1/2)/x)/b^(1/2)","B"
1926,1,60,53,1.572146,"\text{Not used}","int(1/(x^4*(a + b/x^2)^(1/2)),x)","\left\{\begin{array}{cl} -\frac{1}{3\,\sqrt{a}\,x^3} & \text{\ if\ \ }b=0\\ \frac{a\,\ln\left(2\,\sqrt{a+\frac{b}{x^2}}+\frac{2\,\sqrt{b}}{x}\right)}{2\,b^{3/2}}-\frac{\sqrt{a+\frac{b}{x^2}}}{2\,b\,x} & \text{\ if\ \ }b\neq 0 \end{array}\right.","Not used",1,"piecewise(b == 0, -1/(3*a^(1/2)*x^3), b ~= 0, (a*log(2*(a + b/x^2)^(1/2) + (2*b^(1/2))/x))/(2*b^(3/2)) - (a + b/x^2)^(1/2)/(2*b*x))","B"
1927,1,21,27,1.347457,"\text{Not used}","int(1/(x*(b/x^2 - a)^(1/2)),x)","-\frac{\mathrm{atan}\left(\frac{\sqrt{\frac{b}{x^2}-a}}{\sqrt{a}}\right)}{\sqrt{a}}","Not used",1,"-atan((b/x^2 - a)^(1/2)/a^(1/2))/a^(1/2)","B"
1928,1,17,20,1.271132,"\text{Not used}","int(1/(x^2*(b/x^2 + 2)^(1/2)),x)","-\frac{\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{b}}{2\,x}\right)}{\sqrt{b}}","Not used",1,"-asinh((2^(1/2)*b^(1/2))/(2*x))/b^(1/2)","B"
1929,1,21,20,1.250313,"\text{Not used}","int(1/(x^2*(2 - b/x^2)^(1/2)),x)","-\frac{\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{-b}}{2\,x}\right)}{\sqrt{-b}}","Not used",1,"-asinh((2^(1/2)*(-b)^(1/2))/(2*x))/(-b)^(1/2)","B"
1930,1,75,95,1.826248,"\text{Not used}","int(x^3/(a + b/x^2)^(3/2),x)","\frac{15\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)}{8\,a^{7/2}}-\frac{15\,b^2}{8\,a^3\,\sqrt{a+\frac{b}{x^2}}}+\frac{x^4}{4\,a\,\sqrt{a+\frac{b}{x^2}}}-\frac{5\,b\,x^2}{8\,a^2\,\sqrt{a+\frac{b}{x^2}}}","Not used",1,"(15*b^2*atanh((a + b/x^2)^(1/2)/a^(1/2)))/(8*a^(7/2)) - (15*b^2)/(8*a^3*(a + b/x^2)^(1/2)) + x^4/(4*a*(a + b/x^2)^(1/2)) - (5*b*x^2)/(8*a^2*(a + b/x^2)^(1/2))","B"
1931,1,53,69,1.612514,"\text{Not used}","int(x/(a + b/x^2)^(3/2),x)","\frac{3\,b}{2\,a^2\,\sqrt{a+\frac{b}{x^2}}}+\frac{x^2}{2\,a\,\sqrt{a+\frac{b}{x^2}}}-\frac{3\,b\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)}{2\,a^{5/2}}","Not used",1,"(3*b)/(2*a^2*(a + b/x^2)^(1/2)) + x^2/(2*a*(a + b/x^2)^(1/2)) - (3*b*atanh((a + b/x^2)^(1/2)/a^(1/2)))/(2*a^(5/2))","B"
1932,1,33,41,1.324111,"\text{Not used}","int(1/(x*(a + b/x^2)^(3/2)),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)}{a^{3/2}}-\frac{1}{a\,\sqrt{a+\frac{b}{x^2}}}","Not used",1,"atanh((a + b/x^2)^(1/2)/a^(1/2))/a^(3/2) - 1/(a*(a + b/x^2)^(1/2))","B"
1933,1,18,15,1.247422,"\text{Not used}","int(1/(x^3*(a + b/x^2)^(3/2)),x)","\frac{\sqrt{x^2}}{b\,\sqrt{a\,x^2+b}}","Not used",1,"(x^2)^(1/2)/(b*(b + a*x^2)^(1/2))","B"
1934,1,36,34,1.224810,"\text{Not used}","int(1/(x^5*(a + b/x^2)^(3/2)),x)","-\frac{x\,\sqrt{a+\frac{b}{x^2}}\,\left(\frac{1}{b}+\frac{2\,a\,x^2}{b^2}\right)}{a\,x^3+b\,x}","Not used",1,"-(x*(a + b/x^2)^(1/2)*(1/b + (2*a*x^2)/b^2))/(b*x + a*x^3)","B"
1935,1,47,54,1.337973,"\text{Not used}","int(1/(x^7*(a + b/x^2)^(3/2)),x)","\frac{\sqrt{a+\frac{b}{x^2}}\,\left(8\,a^2\,x^4+4\,a\,b\,x^2-b^2\right)}{3\,b^3\,x^2\,\left(a\,x^2+b\right)}","Not used",1,"((a + b/x^2)^(1/2)*(8*a^2*x^4 - b^2 + 4*a*b*x^2))/(3*b^3*x^2*(b + a*x^2))","B"
1936,1,56,73,1.408370,"\text{Not used}","int(1/(x^9*(a + b/x^2)^(3/2)),x)","-\frac{\sqrt{a+\frac{b}{x^2}}\,\left(16\,a^3\,x^6+8\,a^2\,b\,x^4-2\,a\,b^2\,x^2+b^3\right)}{5\,b^4\,x^4\,\left(a\,x^2+b\right)}","Not used",1,"-((a + b/x^2)^(1/2)*(b^3 + 16*a^3*x^6 - 2*a*b^2*x^2 + 8*a^2*b*x^4))/(5*b^4*x^4*(b + a*x^2))","B"
1937,1,48,88,1.719400,"\text{Not used}","int(x^4/(a + b/x^2)^(3/2),x)","\frac{a^3\,x^6-2\,a^2\,b\,x^4+8\,a\,b^2\,x^2+16\,b^3}{5\,a^4\,x\,\sqrt{a+\frac{b}{x^2}}}","Not used",1,"(16*b^3 + a^3*x^6 + 8*a*b^2*x^2 - 2*a^2*b*x^4)/(5*a^4*x*(a + b/x^2)^(1/2))","B"
1938,1,38,62,1.592955,"\text{Not used}","int(x^2/(a + b/x^2)^(3/2),x)","-\frac{-a^2\,x^4+4\,a\,b\,x^2+8\,b^2}{3\,a^3\,x\,\sqrt{a+\frac{b}{x^2}}}","Not used",1,"-(8*b^2 - a^2*x^4 + 4*a*b*x^2)/(3*a^3*x*(a + b/x^2)^(1/2))","B"
1939,1,36,35,1.191608,"\text{Not used}","int(1/(a + b/x^2)^(3/2),x)","\frac{a^2\,x^4+3\,a\,b\,x^2+2\,b^2}{a^2\,x^3\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}","Not used",1,"(2*b^2 + a^2*x^4 + 3*a*b*x^2)/(a^2*x^3*(a + b/x^2)^(3/2))","B"
1940,1,24,19,1.198810,"\text{Not used}","int(1/(x^2*(a + b/x^2)^(3/2)),x)","-\frac{x\,\sqrt{a+\frac{b}{x^2}}}{a\,\left(a\,x^2+b\right)}","Not used",1,"-(x*(a + b/x^2)^(1/2))/(a*(b + a*x^2))","B"
1941,1,40,47,1.372950,"\text{Not used}","int(1/(x^4*(a + b/x^2)^(3/2)),x)","\frac{1}{b\,x\,\sqrt{a+\frac{b}{x^2}}}-\frac{\ln\left(\sqrt{a+\frac{b}{x^2}}+\frac{\sqrt{b}}{x}\right)}{b^{3/2}}","Not used",1,"1/(b*x*(a + b/x^2)^(1/2)) - log((a + b/x^2)^(1/2) + b^(1/2)/x)/b^(3/2)","B"
1942,0,-1,71,0.000000,"\text{Not used}","int(1/(x^6*(a + b/x^2)^(3/2)),x)","\int \frac{1}{x^6\,{\left(a+\frac{b}{x^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^6*(a + b/x^2)^(3/2)), x)","F"
1943,0,-1,95,0.000000,"\text{Not used}","int(1/(x^8*(a + b/x^2)^(3/2)),x)","\int \frac{1}{x^8\,{\left(a+\frac{b}{x^2}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^8*(a + b/x^2)^(3/2)), x)","F"
1944,1,95,116,1.919971,"\text{Not used}","int(x^3/(a + b/x^2)^(5/2),x)","\frac{35\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)}{8\,a^{9/2}}-\frac{35\,b^2}{6\,a^3\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}+\frac{x^4}{4\,a\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}-\frac{7\,b\,x^2}{8\,a^2\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}-\frac{35\,b^3}{8\,a^4\,x^2\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}","Not used",1,"(35*b^2*atanh((a + b/x^2)^(1/2)/a^(1/2)))/(8*a^(9/2)) - (35*b^2)/(6*a^3*(a + b/x^2)^(3/2)) + x^4/(4*a*(a + b/x^2)^(3/2)) - (7*b*x^2)/(8*a^2*(a + b/x^2)^(3/2)) - (35*b^3)/(8*a^4*x^2*(a + b/x^2)^(3/2))","B"
1945,1,73,88,1.641361,"\text{Not used}","int(x/(a + b/x^2)^(5/2),x)","\frac{10\,b}{3\,a^2\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}+\frac{x^2}{2\,a\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}-\frac{5\,b\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)}{2\,a^{7/2}}+\frac{5\,b^2}{2\,a^3\,x^2\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}","Not used",1,"(10*b)/(3*a^2*(a + b/x^2)^(3/2)) + x^2/(2*a*(a + b/x^2)^(3/2)) - (5*b*atanh((a + b/x^2)^(1/2)/a^(1/2)))/(2*a^(7/2)) + (5*b^2)/(2*a^3*x^2*(a + b/x^2)^(3/2))","B"
1946,1,47,59,1.388525,"\text{Not used}","int(1/(x*(a + b/x^2)^(5/2)),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^2}}}{\sqrt{a}}\right)}{a^{5/2}}-\frac{\frac{a+\frac{b}{x^2}}{a^2}+\frac{1}{3\,a}}{{\left(a+\frac{b}{x^2}\right)}^{3/2}}","Not used",1,"atanh((a + b/x^2)^(1/2)/a^(1/2))/a^(5/2) - ((a + b/x^2)/a^2 + 1/(3*a))/(a + b/x^2)^(3/2)","B"
1947,1,14,18,1.248676,"\text{Not used}","int(1/(x^3*(a + b/x^2)^(5/2)),x)","\frac{1}{3\,b\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}","Not used",1,"1/(3*b*(a + b/x^2)^(3/2))","B"
1948,1,27,35,1.259135,"\text{Not used}","int(1/(x^5*(a + b/x^2)^(5/2)),x)","\frac{2\,a\,x^2+3\,b}{3\,b^2\,x^2\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}","Not used",1,"(3*b + 2*a*x^2)/(3*b^2*x^2*(a + b/x^2)^(3/2))","B"
1949,1,42,55,1.291812,"\text{Not used}","int(1/(x^7*(a + b/x^2)^(5/2)),x)","-\frac{\sqrt{a+\frac{b}{x^2}}\,\left(\frac{8\,a^2\,x^4}{3}+4\,a\,b\,x^2+b^2\right)}{b^3\,{\left(a\,x^2+b\right)}^2}","Not used",1,"-((a + b/x^2)^(1/2)*(b^2 + (8*a^2*x^4)/3 + 4*a*b*x^2))/(b^3*(b + a*x^2)^2)","B"
1950,1,58,76,1.359222,"\text{Not used}","int(1/(x^9*(a + b/x^2)^(5/2)),x)","\frac{\sqrt{a+\frac{b}{x^2}}\,\left(16\,a^3\,x^6+24\,a^2\,b\,x^4+6\,a\,b^2\,x^2-b^3\right)}{3\,b^4\,x^2\,{\left(a\,x^2+b\right)}^2}","Not used",1,"((a + b/x^2)^(1/2)*(16*a^3*x^6 - b^3 + 6*a*b^2*x^2 + 24*a^2*b*x^4))/(3*b^4*x^2*(b + a*x^2)^2)","B"
1951,1,81,82,1.728570,"\text{Not used}","int(x^2/(a + b/x^2)^(5/2),x)","\frac{6\,a^2\,\left(a+\frac{b}{x^2}\right)-24\,a\,{\left(a+\frac{b}{x^2}\right)}^2+16\,{\left(a+\frac{b}{x^2}\right)}^3+a^3}{\left(\frac{3\,a^5}{b\,x}-\frac{3\,a^4\,\left(a+\frac{b}{x^2}\right)}{b\,x}\right)\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}","Not used",1,"(6*a^2*(a + b/x^2) - 24*a*(a + b/x^2)^2 + 16*(a + b/x^2)^3 + a^3)/(((3*a^5)/(b*x) - (3*a^4*(a + b/x^2))/(b*x))*(a + b/x^2)^(3/2))","B"
1952,1,43,58,1.331656,"\text{Not used}","int(1/(a + b/x^2)^(5/2),x)","\frac{x\,{\left(\frac{a\,x^2}{b}+1\right)}^{5/2}\,\sqrt{x^{10}}\,{{}}_2{\mathrm{F}}_1\left(\frac{5}{2},3;\ 4;\ -\frac{a\,x^2}{b}\right)}{6\,{\left(a\,x^2+b\right)}^{5/2}}","Not used",1,"(x*((a*x^2)/b + 1)^(5/2)*(x^10)^(1/2)*hypergeom([5/2, 3], 4, -(a*x^2)/b))/(6*(b + a*x^2)^(5/2))","B"
1953,1,34,42,1.267438,"\text{Not used}","int(1/(x^2*(a + b/x^2)^(5/2)),x)","-\frac{x\,\sqrt{a+\frac{b}{x^2}}\,\left(3\,a\,x^2+2\,b\right)}{3\,a^2\,{\left(a\,x^2+b\right)}^2}","Not used",1,"-(x*(a + b/x^2)^(1/2)*(2*b + 3*a*x^2))/(3*a^2*(b + a*x^2)^2)","B"
1954,1,17,21,1.198771,"\text{Not used}","int(1/(x^4*(a + b/x^2)^(5/2)),x)","-\frac{1}{3\,a\,x^3\,{\left(a+\frac{b}{x^2}\right)}^{3/2}}","Not used",1,"-1/(3*a*x^3*(a + b/x^2)^(3/2))","B"
1955,0,-1,68,0.000000,"\text{Not used}","int(1/(x^6*(a + b/x^2)^(5/2)),x)","\int \frac{1}{x^6\,{\left(a+\frac{b}{x^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^6*(a + b/x^2)^(5/2)), x)","F"
1956,0,-1,95,0.000000,"\text{Not used}","int(1/(x^8*(a + b/x^2)^(5/2)),x)","\int \frac{1}{x^8\,{\left(a+\frac{b}{x^2}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^8*(a + b/x^2)^(5/2)), x)","F"
1957,1,17,13,1.352610,"\text{Not used}","int((1/x^2 + 1)^(1/3)/x^3,x)","-\frac{3\,{\left(\frac{1}{x^2}+1\right)}^{1/3}\,\left(x^2+1\right)}{8\,x^2}","Not used",1,"-(3*(1/x^2 + 1)^(1/3)*(x^2 + 1))/(8*x^2)","B"
1958,1,19,13,1.415461,"\text{Not used}","int((1/x^2 + 1)^(5/3)/x^3,x)","-\frac{3\,{\left(\frac{1}{x^2}+1\right)}^{2/3}\,{\left(x^2+1\right)}^2}{16\,x^4}","Not used",1,"-(3*(1/x^2 + 1)^(2/3)*(x^2 + 1)^2)/(16*x^4)","B"
1959,0,-1,44,0.000000,"\text{Not used}","int((c*x)^m*(b/x^2 + 1)^(3/2),x)","\int {\left(c\,x\right)}^m\,{\left(\frac{b}{x^2}+1\right)}^{3/2} \,d x","Not used",1,"int((c*x)^m*(b/x^2 + 1)^(3/2), x)","F"
1960,0,-1,44,0.000000,"\text{Not used}","int((c*x)^m*(b/x^2 + 1)^(1/2),x)","\int {\left(c\,x\right)}^m\,\sqrt{\frac{b}{x^2}+1} \,d x","Not used",1,"int((c*x)^m*(b/x^2 + 1)^(1/2), x)","F"
1961,0,-1,44,0.000000,"\text{Not used}","int((c*x)^m/(b/x^2 + 1)^(1/2),x)","\int \frac{{\left(c\,x\right)}^m}{\sqrt{\frac{b}{x^2}+1}} \,d x","Not used",1,"int((c*x)^m/(b/x^2 + 1)^(1/2), x)","F"
1962,0,-1,44,0.000000,"\text{Not used}","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)}^{3/2}} \,d x","Not used",1,"int((c*x)^m/(b/x^2 + 1)^(3/2), x)","F"
1963,0,-1,44,0.000000,"\text{Not used}","int((c*x)^m*(b/x^2 + 1)^p,x)","\int {\left(c\,x\right)}^m\,{\left(\frac{b}{x^2}+1\right)}^p \,d x","Not used",1,"int((c*x)^m*(b/x^2 + 1)^p, x)","F"
1964,0,-1,70,0.000000,"\text{Not used}","int((c*x)^m*(a + b/x^2)^p,x)","\int {\left(c\,x\right)}^m\,{\left(a+\frac{b}{x^2}\right)}^p \,d x","Not used",1,"int((c*x)^m*(a + b/x^2)^p, x)","F"
1965,1,33,40,0.064945,"\text{Not used}","int(x^5/(a + b/x^3),x)","\frac{2\,b^2\,\ln\left(a\,x^3+b\right)+a^2\,x^6-2\,a\,b\,x^3}{6\,a^3}","Not used",1,"(2*b^2*log(b + a*x^3) + a^2*x^6 - 2*a*b*x^3)/(6*a^3)","B"
1966,1,143,136,1.315796,"\text{Not used}","int(x^4/(a + b/x^3),x)","\frac{x^5}{5\,a}-\frac{b\,x^2}{2\,a^2}+\frac{{\left(-b\right)}^{5/3}\,\ln\left(\frac{b^4\,x}{a^3}-\frac{{\left(-b\right)}^{13/3}}{a^{10/3}}\right)}{3\,a^{8/3}}-\frac{{\left(-b\right)}^{5/3}\,\ln\left(\frac{b^4\,x}{a^3}-\frac{{\left(-b\right)}^{13/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{a^{10/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,a^{8/3}}+\frac{{\left(-b\right)}^{5/3}\,\ln\left(\frac{b^4\,x}{a^3}-\frac{9\,{\left(-b\right)}^{13/3}\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2}{a^{10/3}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{a^{8/3}}","Not used",1,"x^5/(5*a) - (b*x^2)/(2*a^2) + ((-b)^(5/3)*log((b^4*x)/a^3 - (-b)^(13/3)/a^(10/3)))/(3*a^(8/3)) - ((-b)^(5/3)*log((b^4*x)/a^3 - ((-b)^(13/3)*((3^(1/2)*1i)/2 + 1/2)^2)/a^(10/3))*((3^(1/2)*1i)/2 + 1/2))/(3*a^(8/3)) + ((-b)^(5/3)*log((b^4*x)/a^3 - (9*(-b)^(13/3)*((3^(1/2)*1i)/6 - 1/6)^2)/a^(10/3))*((3^(1/2)*1i)/6 - 1/6))/a^(8/3)","B"
1967,1,119,132,0.196232,"\text{Not used}","int(x^3/(a + b/x^3),x)","\frac{x^4}{4\,a}+\frac{b^{4/3}\,\ln\left(3\,b^2\,x+\frac{3\,b^{7/3}}{a^{1/3}}\right)}{3\,a^{7/3}}-\frac{b\,x}{a^2}-\frac{b^{4/3}\,\ln\left(3\,b^2\,x-\frac{3\,b^{7/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{1/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,a^{7/3}}+\frac{b^{4/3}\,\ln\left(3\,b^2\,x+\frac{9\,b^{7/3}\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{a^{1/3}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{a^{7/3}}","Not used",1,"x^4/(4*a) + (b^(4/3)*log(3*b^2*x + (3*b^(7/3))/a^(1/3)))/(3*a^(7/3)) - (b*x)/a^2 - (b^(4/3)*log(3*b^2*x - (3*b^(7/3)*((3^(1/2)*1i)/2 + 1/2))/a^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(3*a^(7/3)) + (b^(4/3)*log(3*b^2*x + (9*b^(7/3)*((3^(1/2)*1i)/6 - 1/6))/a^(1/3))*((3^(1/2)*1i)/6 - 1/6))/a^(7/3)","B"
1968,1,22,27,1.124977,"\text{Not used}","int(x^2/(a + b/x^3),x)","-\frac{b\,\ln\left(a\,x^3+b\right)-a\,x^3}{3\,a^2}","Not used",1,"-(b*log(b + a*x^3) - a*x^3)/(3*a^2)","B"
1969,1,120,124,0.189845,"\text{Not used}","int(x/(a + b/x^3),x)","\frac{x^2}{2\,a}+\frac{b^{2/3}\,\ln\left(\frac{b^{7/3}}{a^{4/3}}+\frac{b^2\,x}{a}\right)}{3\,a^{5/3}}-\frac{b^{2/3}\,\ln\left(\frac{b^2\,x}{a}+\frac{b^{7/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{a^{4/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,a^{5/3}}+\frac{b^{2/3}\,\ln\left(\frac{b^2\,x}{a}+\frac{9\,b^{7/3}\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2}{a^{4/3}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{a^{5/3}}","Not used",1,"x^2/(2*a) + (b^(2/3)*log(b^(7/3)/a^(4/3) + (b^2*x)/a))/(3*a^(5/3)) - (b^(2/3)*log((b^2*x)/a + (b^(7/3)*((3^(1/2)*1i)/2 + 1/2)^2)/a^(4/3))*((3^(1/2)*1i)/2 + 1/2))/(3*a^(5/3)) + (b^(2/3)*log((b^2*x)/a + (9*b^(7/3)*((3^(1/2)*1i)/6 - 1/6)^2)/a^(4/3))*((3^(1/2)*1i)/6 - 1/6))/a^(5/3)","B"
1970,1,114,119,1.321754,"\text{Not used}","int(1/(a + b/x^3),x)","\frac{x}{a}+\frac{{\left(-b\right)}^{1/3}\,\ln\left({\left(-b\right)}^{4/3}+a^{1/3}\,b\,x\right)}{3\,a^{4/3}}-\frac{{\left(-b\right)}^{1/3}\,\ln\left(3\,a^{2/3}\,{\left(-b\right)}^{4/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-3\,a\,b\,x\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,a^{4/3}}+\frac{{\left(-b\right)}^{1/3}\,\ln\left(9\,a^{2/3}\,{\left(-b\right)}^{4/3}\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+3\,a\,b\,x\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{a^{4/3}}","Not used",1,"x/a + ((-b)^(1/3)*log((-b)^(4/3) + a^(1/3)*b*x))/(3*a^(4/3)) - ((-b)^(1/3)*log(3*a^(2/3)*(-b)^(4/3)*((3^(1/2)*1i)/2 + 1/2) - 3*a*b*x)*((3^(1/2)*1i)/2 + 1/2))/(3*a^(4/3)) + ((-b)^(1/3)*log(9*a^(2/3)*(-b)^(4/3)*((3^(1/2)*1i)/6 - 1/6) + 3*a*b*x)*((3^(1/2)*1i)/6 - 1/6))/a^(4/3)","B"
1971,1,13,15,0.033693,"\text{Not used}","int(1/(x*(a + b/x^3)),x)","\frac{\ln\left(a\,x^3+b\right)}{3\,a}","Not used",1,"log(b + a*x^3)/(3*a)","B"
1972,1,111,115,1.349675,"\text{Not used}","int(1/(x^2*(a + b/x^3)),x)","\frac{\ln\left(a^{1/3}\,x-{\left(-b\right)}^{1/3}\right)}{3\,a^{2/3}\,{\left(-b\right)}^{1/3}}+\frac{\ln\left(a\,x-\frac{a^{2/3}\,{\left(-b\right)}^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,{\left(-b\right)}^{1/3}}-\frac{\ln\left(a\,x-\frac{a^{2/3}\,{\left(-b\right)}^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,{\left(-b\right)}^{1/3}}","Not used",1,"log(a^(1/3)*x - (-b)^(1/3))/(3*a^(2/3)*(-b)^(1/3)) + (log(a*x - (a^(2/3)*(-b)^(1/3)*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(6*a^(2/3)*(-b)^(1/3)) - (log(a*x - (a^(2/3)*(-b)^(1/3)*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(6*a^(2/3)*(-b)^(1/3))","B"
1973,1,99,115,1.304244,"\text{Not used}","int(1/(x^3*(a + b/x^3)),x)","\frac{\ln\left(a^{1/3}\,x+b^{1/3}\right)}{3\,a^{1/3}\,b^{2/3}}+\frac{\ln\left(3\,a^2\,x+\frac{3\,a^{5/3}\,b^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{1/3}\,b^{2/3}}-\frac{\ln\left(3\,a^2\,x-\frac{3\,a^{5/3}\,b^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{1/3}\,b^{2/3}}","Not used",1,"log(a^(1/3)*x + b^(1/3))/(3*a^(1/3)*b^(2/3)) + (log(3*a^2*x + (3*a^(5/3)*b^(1/3)*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(6*a^(1/3)*b^(2/3)) - (log(3*a^2*x - (3*a^(5/3)*b^(1/3)*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(6*a^(1/3)*b^(2/3))","B"
1974,1,18,15,1.179576,"\text{Not used}","int(1/(x^4*(a + b/x^3)),x)","-\frac{\ln\left(a\,x^3+b\right)-3\,\ln\left(x\right)}{3\,b}","Not used",1,"-(log(b + a*x^3) - 3*log(x))/(3*b)","B"
1975,1,102,122,0.250990,"\text{Not used}","int(1/(x^5*(a + b/x^3)),x)","\frac{a^{1/3}\,\ln\left(a^{1/3}\,x+b^{1/3}\right)}{3\,b^{4/3}}-\frac{1}{b\,x}-\frac{a^{1/3}\,\ln\left(4\,a^{1/3}\,x-2\,b^{1/3}+\sqrt{3}\,b^{1/3}\,2{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,b^{4/3}}+\frac{a^{1/3}\,\ln\left(4\,a^{1/3}\,x-2\,b^{1/3}-\sqrt{3}\,b^{1/3}\,2{}\mathrm{i}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{b^{4/3}}","Not used",1,"(a^(1/3)*log(a^(1/3)*x + b^(1/3)))/(3*b^(4/3)) - 1/(b*x) - (a^(1/3)*log(3^(1/2)*b^(1/3)*2i + 4*a^(1/3)*x - 2*b^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(3*b^(4/3)) + (a^(1/3)*log(4*a^(1/3)*x - 3^(1/2)*b^(1/3)*2i - 2*b^(1/3))*((3^(1/2)*1i)/6 - 1/6))/b^(4/3)","B"
1976,1,128,124,1.340243,"\text{Not used}","int(1/(x^6*(a + b/x^3)),x)","\frac{a^{2/3}\,\ln\left({\left(-b\right)}^{7/3}-a^{1/3}\,b^2\,x\right)}{3\,{\left(-b\right)}^{5/3}}-\frac{1}{2\,b\,x^2}-\frac{a^{2/3}\,\ln\left(3\,a^3\,b^2\,x+3\,a^{8/3}\,{\left(-b\right)}^{7/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,{\left(-b\right)}^{5/3}}+\frac{a^{2/3}\,\ln\left(3\,a^3\,b^2\,x-9\,a^{8/3}\,{\left(-b\right)}^{7/3}\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{{\left(-b\right)}^{5/3}}","Not used",1,"(a^(2/3)*log((-b)^(7/3) - a^(1/3)*b^2*x))/(3*(-b)^(5/3)) - 1/(2*b*x^2) - (a^(2/3)*log(3*a^3*b^2*x + 3*a^(8/3)*(-b)^(7/3)*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/(3*(-b)^(5/3)) + (a^(2/3)*log(3*a^3*b^2*x - 9*a^(8/3)*(-b)^(7/3)*((3^(1/2)*1i)/6 - 1/6))*((3^(1/2)*1i)/6 - 1/6))/(-b)^(5/3)","B"
1977,1,31,35,1.158888,"\text{Not used}","int(1/(x^7*(a + b/x^3)),x)","\frac{a\,\ln\left(a\,x^3+b\right)}{3\,b^2}-\frac{1}{3\,b\,x^3}-\frac{a\,\ln\left(x\right)}{b^2}","Not used",1,"(a*log(b + a*x^3))/(3*b^2) - 1/(3*b*x^3) - (a*log(x))/b^2","B"
1978,1,56,56,1.127843,"\text{Not used}","int(x^5/(a + b/x^3)^2,x)","\frac{x^6}{6\,a^2}+\frac{b^3}{3\,a\,\left(a^4\,x^3+b\,a^3\right)}-\frac{2\,b\,x^3}{3\,a^3}+\frac{b^2\,\ln\left(a\,x^3+b\right)}{a^4}","Not used",1,"x^6/(6*a^2) + b^3/(3*a*(a^3*b + a^4*x^3)) - (2*b*x^3)/(3*a^3) + (b^2*log(b + a*x^3))/a^4","B"
1979,1,172,157,1.288585,"\text{Not used}","int(x^4/(a + b/x^3)^2,x)","\frac{x^5}{5\,a^2}-\frac{b^2\,x^2}{3\,\left(a^4\,x^3+b\,a^3\right)}-\frac{b\,x^2}{a^3}+\frac{8\,{\left(-b\right)}^{5/3}\,\ln\left(\frac{64\,b^4\,x}{9\,a^5}-\frac{64\,{\left(-b\right)}^{13/3}}{9\,a^{16/3}}\right)}{9\,a^{11/3}}+\frac{8\,{\left(-b\right)}^{5/3}\,\ln\left(\frac{64\,b^4\,x}{9\,a^5}-\frac{64\,{\left(-b\right)}^{13/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{9\,a^{16/3}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{11/3}}-\frac{8\,{\left(-b\right)}^{5/3}\,\ln\left(\frac{64\,b^4\,x}{9\,a^5}-\frac{64\,{\left(-b\right)}^{13/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{9\,a^{16/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{11/3}}","Not used",1,"x^5/(5*a^2) - (b^2*x^2)/(3*(a^3*b + a^4*x^3)) - (b*x^2)/a^3 + (8*(-b)^(5/3)*log((64*b^4*x)/(9*a^5) - (64*(-b)^(13/3))/(9*a^(16/3))))/(9*a^(11/3)) + (8*(-b)^(5/3)*log((64*b^4*x)/(9*a^5) - (64*(-b)^(13/3)*((3^(1/2)*1i)/2 - 1/2)^2)/(9*a^(16/3)))*((3^(1/2)*1i)/2 - 1/2))/(9*a^(11/3)) - (8*(-b)^(5/3)*log((64*b^4*x)/(9*a^5) - (64*(-b)^(13/3)*((3^(1/2)*1i)/2 + 1/2)^2)/(9*a^(16/3)))*((3^(1/2)*1i)/2 + 1/2))/(9*a^(11/3))","B"
1980,1,152,155,0.215954,"\text{Not used}","int(x^3/(a + b/x^3)^2,x)","\frac{x^4}{4\,a^2}-\frac{b^2\,x}{3\,\left(a^4\,x^3+b\,a^3\right)}+\frac{7\,b^{4/3}\,\ln\left(\frac{7\,b^{7/3}}{a^{4/3}}+\frac{7\,b^2\,x}{a}\right)}{9\,a^{10/3}}-\frac{2\,b\,x}{a^3}+\frac{7\,b^{4/3}\,\ln\left(\frac{7\,b^2\,x}{a}+\frac{7\,b^{7/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{4/3}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{10/3}}-\frac{7\,b^{4/3}\,\ln\left(\frac{7\,b^2\,x}{a}-\frac{7\,b^{7/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{4/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{10/3}}","Not used",1,"x^4/(4*a^2) - (b^2*x)/(3*(a^3*b + a^4*x^3)) + (7*b^(4/3)*log((7*b^(7/3))/a^(4/3) + (7*b^2*x)/a))/(9*a^(10/3)) - (2*b*x)/a^3 + (7*b^(4/3)*log((7*b^2*x)/a + (7*b^(7/3)*((3^(1/2)*1i)/2 - 1/2))/a^(4/3))*((3^(1/2)*1i)/2 - 1/2))/(9*a^(10/3)) - (7*b^(4/3)*log((7*b^2*x)/a - (7*b^(7/3)*((3^(1/2)*1i)/2 + 1/2))/a^(4/3))*((3^(1/2)*1i)/2 + 1/2))/(9*a^(10/3))","B"
1981,1,45,46,0.053525,"\text{Not used}","int(x^2/(a + b/x^3)^2,x)","\frac{x^3}{3\,a^2}-\frac{b^2}{3\,\left(a^4\,x^3+b\,a^3\right)}-\frac{2\,b\,\ln\left(a\,x^3+b\right)}{3\,a^3}","Not used",1,"x^3/(3*a^2) - b^2/(3*(a^3*b + a^4*x^3)) - (2*b*log(b + a*x^3))/(3*a^3)","B"
1982,1,139,146,1.246623,"\text{Not used}","int(x/(a + b/x^3)^2,x)","\frac{x^2}{2\,a^2}+\frac{5\,b^{2/3}\,\ln\left(a^{1/3}\,x+b^{1/3}\right)}{9\,a^{8/3}}+\frac{b\,x^2}{3\,\left(a^3\,x^3+b\,a^2\right)}+\frac{5\,b^{2/3}\,\ln\left(\frac{25\,b^2\,x}{9\,a^3}+\frac{25\,b^{7/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{9\,a^{10/3}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{8/3}}-\frac{5\,b^{2/3}\,\ln\left(\frac{25\,b^2\,x}{9\,a^3}+\frac{25\,b^{7/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{9\,a^{10/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{8/3}}","Not used",1,"x^2/(2*a^2) + (5*b^(2/3)*log(a^(1/3)*x + b^(1/3)))/(9*a^(8/3)) + (b*x^2)/(3*(a^2*b + a^3*x^3)) + (5*b^(2/3)*log((25*b^2*x)/(9*a^3) + (25*b^(7/3)*((3^(1/2)*1i)/2 - 1/2)^2)/(9*a^(10/3)))*((3^(1/2)*1i)/2 - 1/2))/(9*a^(8/3)) - (5*b^(2/3)*log((25*b^2*x)/(9*a^3) + (25*b^(7/3)*((3^(1/2)*1i)/2 + 1/2)^2)/(9*a^(10/3)))*((3^(1/2)*1i)/2 + 1/2))/(9*a^(8/3))","B"
1983,1,132,144,1.320343,"\text{Not used}","int(1/(a + b/x^3)^2,x)","\frac{x}{a^2}+\frac{4\,{\left(-b\right)}^{1/3}\,\ln\left({\left(-b\right)}^{4/3}+a^{1/3}\,b\,x\right)}{9\,a^{7/3}}+\frac{b\,x}{3\,\left(a^3\,x^3+b\,a^2\right)}-\frac{4\,{\left(-b\right)}^{1/3}\,\ln\left(4\,b\,x-\frac{4\,{\left(-b\right)}^{4/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{1/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{7/3}}+\frac{{\left(-b\right)}^{1/3}\,\ln\left(4\,b\,x+\frac{9\,{\left(-b\right)}^{4/3}\,\left(-\frac{2}{9}+\frac{\sqrt{3}\,2{}\mathrm{i}}{9}\right)}{a^{1/3}}\right)\,\left(-\frac{2}{9}+\frac{\sqrt{3}\,2{}\mathrm{i}}{9}\right)}{a^{7/3}}","Not used",1,"x/a^2 + (4*(-b)^(1/3)*log((-b)^(4/3) + a^(1/3)*b*x))/(9*a^(7/3)) + (b*x)/(3*(a^2*b + a^3*x^3)) - (4*(-b)^(1/3)*log(4*b*x - (4*(-b)^(4/3)*((3^(1/2)*1i)/2 + 1/2))/a^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(9*a^(7/3)) + ((-b)^(1/3)*log(4*b*x + (9*(-b)^(4/3)*((3^(1/2)*2i)/9 - 2/9))/a^(1/3))*((3^(1/2)*2i)/9 - 2/9))/a^(7/3)","B"
1984,1,29,33,0.048027,"\text{Not used}","int(1/(x*(a + b/x^3)^2),x)","\frac{\ln\left(a\,x^3+b\right)}{3\,a^2}+\frac{b}{3\,a^2\,\left(a\,x^3+b\right)}","Not used",1,"log(b + a*x^3)/(3*a^2) + b/(3*a^2*(b + a*x^3))","B"
1985,1,138,136,0.246035,"\text{Not used}","int(1/(x^2*(a + b/x^3)^2),x)","\frac{2\,\ln\left(\frac{4\,b^{1/3}}{9\,{\left(-a\right)}^{4/3}}+\frac{4\,x}{9\,a}\right)}{9\,{\left(-a\right)}^{5/3}\,b^{1/3}}-\frac{x^2}{3\,a\,\left(a\,x^3+b\right)}+\frac{\ln\left(\frac{4\,x}{9\,a}+\frac{b^{1/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{9\,{\left(-a\right)}^{4/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,{\left(-a\right)}^{5/3}\,b^{1/3}}-\frac{\ln\left(\frac{4\,x}{9\,a}+\frac{b^{1/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{9\,{\left(-a\right)}^{4/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,{\left(-a\right)}^{5/3}\,b^{1/3}}","Not used",1,"(2*log((4*b^(1/3))/(9*(-a)^(4/3)) + (4*x)/(9*a)))/(9*(-a)^(5/3)*b^(1/3)) - x^2/(3*a*(b + a*x^3)) + (log((4*x)/(9*a) + (b^(1/3)*(3^(1/2)*1i - 1)^2)/(9*(-a)^(4/3)))*(3^(1/2)*1i - 1))/(9*(-a)^(5/3)*b^(1/3)) - (log((4*x)/(9*a) + (b^(1/3)*(3^(1/2)*1i + 1)^2)/(9*(-a)^(4/3)))*(3^(1/2)*1i + 1))/(9*(-a)^(5/3)*b^(1/3))","B"
1986,1,108,134,1.328572,"\text{Not used}","int(1/(x^3*(a + b/x^3)^2),x)","\frac{\ln\left(a^{1/3}\,x+b^{1/3}\right)}{9\,a^{4/3}\,b^{2/3}}-\frac{x}{3\,a\,\left(a\,x^3+b\right)}+\frac{\ln\left(a\,x+\frac{a^{2/3}\,b^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{4/3}\,b^{2/3}}-\frac{\ln\left(a\,x-\frac{a^{2/3}\,b^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{4/3}\,b^{2/3}}","Not used",1,"log(a^(1/3)*x + b^(1/3))/(9*a^(4/3)*b^(2/3)) - x/(3*a*(b + a*x^3)) + (log(a*x + (a^(2/3)*b^(1/3)*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(18*a^(4/3)*b^(2/3)) - (log(a*x - (a^(2/3)*b^(1/3)*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(18*a^(4/3)*b^(2/3))","B"
1987,1,14,16,1.104174,"\text{Not used}","int(1/(x^4*(a + b/x^3)^2),x)","-\frac{1}{3\,a\,\left(a\,x^3+b\right)}","Not used",1,"-1/(3*a*(b + a*x^3))","B"
1988,1,138,136,1.318304,"\text{Not used}","int(1/(x^5*(a + b/x^3)^2),x)","\frac{x^2}{3\,b\,\left(a\,x^3+b\right)}+\frac{{\left(-1\right)}^{1/3}\,\ln\left(\frac{{\left(-1\right)}^{2/3}\,a^{2/3}}{9\,b^{5/3}}+\frac{a\,x}{9\,b^2}\right)}{9\,a^{2/3}\,b^{4/3}}-\frac{{\left(-1\right)}^{1/3}\,\ln\left({\left(-1\right)}^{2/3}\,b^{1/3}-2\,a^{1/3}\,x+{\left(-1\right)}^{1/6}\,\sqrt{3}\,b^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{2/3}\,b^{4/3}}+\frac{{\left(-1\right)}^{1/3}\,\ln\left(2\,a^{1/3}\,x-{\left(-1\right)}^{2/3}\,b^{1/3}+{\left(-1\right)}^{1/6}\,\sqrt{3}\,b^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{2/3}\,b^{4/3}}","Not used",1,"x^2/(3*b*(b + a*x^3)) + ((-1)^(1/3)*log(((-1)^(2/3)*a^(2/3))/(9*b^(5/3)) + (a*x)/(9*b^2)))/(9*a^(2/3)*b^(4/3)) - ((-1)^(1/3)*log((-1)^(2/3)*b^(1/3) - 2*a^(1/3)*x + (-1)^(1/6)*3^(1/2)*b^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(9*a^(2/3)*b^(4/3)) + ((-1)^(1/3)*log(2*a^(1/3)*x - (-1)^(2/3)*b^(1/3) + (-1)^(1/6)*3^(1/2)*b^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(9*a^(2/3)*b^(4/3))","B"
1989,1,128,134,0.201703,"\text{Not used}","int(1/(x^6*(a + b/x^3)^2),x)","\frac{x}{3\,b\,\left(a\,x^3+b\right)}+\frac{2\,\ln\left(\frac{2\,a^{5/3}}{b^{2/3}}+\frac{2\,a^2\,x}{b}\right)}{9\,a^{1/3}\,b^{5/3}}+\frac{\ln\left(\frac{2\,a^2\,x}{b}+\frac{a^{5/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{b^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,a^{1/3}\,b^{5/3}}-\frac{\ln\left(\frac{2\,a^2\,x}{b}-\frac{a^{5/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{b^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,a^{1/3}\,b^{5/3}}","Not used",1,"x/(3*b*(b + a*x^3)) + (2*log((2*a^(5/3))/b^(2/3) + (2*a^2*x)/b))/(9*a^(1/3)*b^(5/3)) + (log((2*a^2*x)/b + (a^(5/3)*(3^(1/2)*1i - 1))/b^(2/3))*(3^(1/2)*1i - 1))/(9*a^(1/3)*b^(5/3)) - (log((2*a^2*x)/b - (a^(5/3)*(3^(1/2)*1i + 1))/b^(2/3))*(3^(1/2)*1i + 1))/(9*a^(1/3)*b^(5/3))","B"
1990,1,34,38,0.066292,"\text{Not used}","int(1/(x^7*(a + b/x^3)^2),x)","\frac{\ln\left(x\right)}{b^2}+\frac{1}{3\,b\,\left(a\,x^3+b\right)}-\frac{\ln\left(a\,x^3+b\right)}{3\,b^2}","Not used",1,"log(x)/b^2 + 1/(3*b*(b + a*x^3)) - log(b + a*x^3)/(3*b^2)","B"
1991,1,76,71,1.771061,"\text{Not used}","int(x^5*(a + b/x^3)^(1/2),x)","\frac{x^6\,\sqrt{a+\frac{b}{x^3}}}{6}+\frac{b^2\,\ln\left(x^6\,{\left(\sqrt{a+\frac{b}{x^3}}-\sqrt{a}\right)}^3\,\left(\sqrt{a+\frac{b}{x^3}}+\sqrt{a}\right)\right)}{24\,a^{3/2}}+\frac{b\,x^3\,\sqrt{a+\frac{b}{x^3}}}{12\,a}","Not used",1,"(x^6*(a + b/x^3)^(1/2))/6 + (b^2*log(x^6*((a + b/x^3)^(1/2) - a^(1/2))^3*((a + b/x^3)^(1/2) + a^(1/2))))/(24*a^(3/2)) + (b*x^3*(a + b/x^3)^(1/2))/(12*a)","B"
1992,1,56,47,1.599544,"\text{Not used}","int(x^2*(a + b/x^3)^(1/2),x)","\frac{x^3\,\sqrt{a+\frac{b}{x^3}}}{3}+\frac{b\,\ln\left(x^6\,\left(\sqrt{a+\frac{b}{x^3}}-\sqrt{a}\right)\,{\left(\sqrt{a+\frac{b}{x^3}}+\sqrt{a}\right)}^3\right)}{6\,\sqrt{a}}","Not used",1,"(x^3*(a + b/x^3)^(1/2))/3 + (b*log(x^6*((a + b/x^3)^(1/2) - a^(1/2))*((a + b/x^3)^(1/2) + a^(1/2))^3))/(6*a^(1/2))","B"
1993,1,31,43,1.375390,"\text{Not used}","int((a + b/x^3)^(1/2)/x,x)","\frac{2\,\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^3}}}{\sqrt{a}}\right)}{3}-\frac{2\,\sqrt{a+\frac{b}{x^3}}}{3}","Not used",1,"(2*a^(1/2)*atanh((a + b/x^3)^(1/2)/a^(1/2)))/3 - (2*(a + b/x^3)^(1/2))/3","B"
1994,1,24,18,1.434926,"\text{Not used}","int((a + b/x^3)^(1/2)/x^4,x)","-\frac{2\,\sqrt{a+\frac{b}{x^3}}\,\left(a\,x^3+b\right)}{9\,b\,x^3}","Not used",1,"-(2*(a + b/x^3)^(1/2)*(b + a*x^3))/(9*b*x^3)","B"
1995,1,37,38,1.673135,"\text{Not used}","int((a + b/x^3)^(1/2)/x^7,x)","-\frac{2\,\sqrt{a+\frac{b}{x^3}}\,\left(-2\,a^2\,x^6+a\,b\,x^3+3\,b^2\right)}{45\,b^2\,x^6}","Not used",1,"-(2*(a + b/x^3)^(1/2)*(3*b^2 - 2*a^2*x^6 + a*b*x^3))/(45*b^2*x^6)","B"
1996,1,70,59,1.937026,"\text{Not used}","int((a + b/x^3)^(1/2)/x^10,x)","\frac{8\,a^2\,\sqrt{a+\frac{b}{x^3}}}{315\,b^2\,x^3}-\frac{16\,a^3\,\sqrt{a+\frac{b}{x^3}}}{315\,b^3}-\frac{2\,a\,\sqrt{a+\frac{b}{x^3}}}{105\,b\,x^6}-\frac{2\,\sqrt{a+\frac{b}{x^3}}}{21\,x^9}","Not used",1,"(8*a^2*(a + b/x^3)^(1/2))/(315*b^2*x^3) - (16*a^3*(a + b/x^3)^(1/2))/(315*b^3) - (2*a*(a + b/x^3)^(1/2))/(105*b*x^6) - (2*(a + b/x^3)^(1/2))/(21*x^9)","B"
1997,1,90,80,2.338104,"\text{Not used}","int((a + b/x^3)^(1/2)/x^13,x)","\frac{32\,a^4\,\sqrt{a+\frac{b}{x^3}}}{945\,b^4}-\frac{2\,\sqrt{a+\frac{b}{x^3}}}{27\,x^{12}}-\frac{2\,a\,\sqrt{a+\frac{b}{x^3}}}{189\,b\,x^9}-\frac{16\,a^3\,\sqrt{a+\frac{b}{x^3}}}{945\,b^3\,x^3}+\frac{4\,a^2\,\sqrt{a+\frac{b}{x^3}}}{315\,b^2\,x^6}","Not used",1,"(32*a^4*(a + b/x^3)^(1/2))/(945*b^4) - (2*(a + b/x^3)^(1/2))/(27*x^12) - (2*a*(a + b/x^3)^(1/2))/(189*b*x^9) - (16*a^3*(a + b/x^3)^(1/2))/(945*b^3*x^3) + (4*a^2*(a + b/x^3)^(1/2))/(315*b^2*x^6)","B"
1998,0,-1,291,0.000000,"\text{Not used}","int(x^7*(a + b/x^3)^(1/2),x)","\int x^7\,\sqrt{a+\frac{b}{x^3}} \,d x","Not used",1,"int(x^7*(a + b/x^3)^(1/2), x)","F"
1999,0,-1,267,0.000000,"\text{Not used}","int(x^4*(a + b/x^3)^(1/2),x)","\int x^4\,\sqrt{a+\frac{b}{x^3}} \,d x","Not used",1,"int(x^4*(a + b/x^3)^(1/2), x)","F"
2000,0,-1,242,0.000000,"\text{Not used}","int(x*(a + b/x^3)^(1/2),x)","\int x\,\sqrt{a+\frac{b}{x^3}} \,d x","Not used",1,"int(x*(a + b/x^3)^(1/2), x)","F"
2001,1,40,243,1.413525,"\text{Not used}","int((a + b/x^3)^(1/2)/x^2,x)","-\frac{\sqrt{a+\frac{b}{x^3}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{1}{3};\ \frac{4}{3};\ -\frac{b}{a\,x^3}\right)}{x\,\sqrt{\frac{b}{a\,x^3}+1}}","Not used",1,"-((a + b/x^3)^(1/2)*hypergeom([-1/2, 1/3], 4/3, -b/(a*x^3)))/(x*(b/(a*x^3) + 1)^(1/2))","B"
2002,0,-1,267,0.000000,"\text{Not used}","int((a + b/x^3)^(1/2)/x^5,x)","\int \frac{\sqrt{a+\frac{b}{x^3}}}{x^5} \,d x","Not used",1,"int((a + b/x^3)^(1/2)/x^5, x)","F"
2003,0,-1,291,0.000000,"\text{Not used}","int((a + b/x^3)^(1/2)/x^8,x)","\int \frac{\sqrt{a+\frac{b}{x^3}}}{x^8} \,d x","Not used",1,"int((a + b/x^3)^(1/2)/x^8, x)","F"
2004,0,-1,563,0.000000,"\text{Not used}","int(x^6*(a + b/x^3)^(1/2),x)","\int x^6\,\sqrt{a+\frac{b}{x^3}} \,d x","Not used",1,"int(x^6*(a + b/x^3)^(1/2), x)","F"
2005,0,-1,539,0.000000,"\text{Not used}","int(x^3*(a + b/x^3)^(1/2),x)","\int x^3\,\sqrt{a+\frac{b}{x^3}} \,d x","Not used",1,"int(x^3*(a + b/x^3)^(1/2), x)","F"
2006,1,38,507,1.286059,"\text{Not used}","int((a + b/x^3)^(1/2),x)","-\frac{2\,x\,\sqrt{a+\frac{b}{x^3}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},-\frac{1}{6};\ \frac{5}{6};\ -\frac{a\,x^3}{b}\right)}{\sqrt{\frac{a\,x^3}{b}+1}}","Not used",1,"-(2*x*(a + b/x^3)^(1/2)*hypergeom([-1/2, -1/6], 5/6, -(a*x^3)/b))/((a*x^3)/b + 1)^(1/2)","B"
2007,0,-1,517,0.000000,"\text{Not used}","int((a + b/x^3)^(1/2)/x^3,x)","\int \frac{\sqrt{a+\frac{b}{x^3}}}{x^3} \,d x","Not used",1,"int((a + b/x^3)^(1/2)/x^3, x)","F"
2008,0,-1,541,0.000000,"\text{Not used}","int((a + b/x^3)^(1/2)/x^6,x)","\int \frac{\sqrt{a+\frac{b}{x^3}}}{x^6} \,d x","Not used",1,"int((a + b/x^3)^(1/2)/x^6, x)","F"
2009,0,-1,565,0.000000,"\text{Not used}","int((a + b/x^3)^(1/2)/x^9,x)","\int \frac{\sqrt{a+\frac{b}{x^3}}}{x^9} \,d x","Not used",1,"int((a + b/x^3)^(1/2)/x^9, x)","F"
2010,1,74,68,1.858364,"\text{Not used}","int(x^5*(a + b/x^3)^(3/2),x)","\frac{a\,x^6\,\sqrt{a+\frac{b}{x^3}}}{6}+\frac{5\,b\,x^3\,\sqrt{a+\frac{b}{x^3}}}{12}+\frac{b^2\,\ln\left(x^6\,\left(\sqrt{a+\frac{b}{x^3}}-\sqrt{a}\right)\,{\left(\sqrt{a+\frac{b}{x^3}}+\sqrt{a}\right)}^3\right)}{8\,\sqrt{a}}","Not used",1,"(a*x^6*(a + b/x^3)^(1/2))/6 + (5*b*x^3*(a + b/x^3)^(1/2))/12 + (b^2*log(x^6*((a + b/x^3)^(1/2) - a^(1/2))*((a + b/x^3)^(1/2) + a^(1/2))^3))/(8*a^(1/2))","B"
2011,1,69,58,1.788404,"\text{Not used}","int(x^2*(a + b/x^3)^(3/2),x)","\frac{a\,x^3\,\sqrt{a+\frac{b}{x^3}}}{3}-\frac{2\,b\,\sqrt{a+\frac{b}{x^3}}}{3}+\frac{\sqrt{a}\,b\,\ln\left(x^6\,\left(\sqrt{a+\frac{b}{x^3}}-\sqrt{a}\right)\,{\left(\sqrt{a+\frac{b}{x^3}}+\sqrt{a}\right)}^3\right)}{2}","Not used",1,"(a*x^3*(a + b/x^3)^(1/2))/3 - (2*b*(a + b/x^3)^(1/2))/3 + (a^(1/2)*b*log(x^6*((a + b/x^3)^(1/2) - a^(1/2))*((a + b/x^3)^(1/2) + a^(1/2))^3))/2","B"
2012,1,43,59,1.623063,"\text{Not used}","int((a + b/x^3)^(3/2)/x,x)","\frac{2\,a^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^3}}}{\sqrt{a}}\right)}{3}-\frac{2\,a\,\sqrt{a+\frac{b}{x^3}}}{3}-\frac{2\,{\left(a+\frac{b}{x^3}\right)}^{3/2}}{9}","Not used",1,"(2*a^(3/2)*atanh((a + b/x^3)^(1/2)/a^(1/2)))/3 - (2*a*(a + b/x^3)^(1/2))/3 - (2*(a + b/x^3)^(3/2))/9","B"
2013,1,26,18,1.885863,"\text{Not used}","int((a + b/x^3)^(3/2)/x^4,x)","-\frac{2\,\sqrt{a+\frac{b}{x^3}}\,{\left(a\,x^3+b\right)}^2}{15\,b\,x^6}","Not used",1,"-(2*(a + b/x^3)^(1/2)*(b + a*x^3)^2)/(15*b*x^6)","B"
2014,1,68,38,2.356422,"\text{Not used}","int((a + b/x^3)^(3/2)/x^7,x)","\frac{4\,a^3\,\sqrt{a+\frac{b}{x^3}}}{105\,b^2}-\frac{2\,b\,\sqrt{a+\frac{b}{x^3}}}{21\,x^9}-\frac{16\,a\,\sqrt{a+\frac{b}{x^3}}}{105\,x^6}-\frac{2\,a^2\,\sqrt{a+\frac{b}{x^3}}}{105\,b\,x^3}","Not used",1,"(4*a^3*(a + b/x^3)^(1/2))/(105*b^2) - (2*b*(a + b/x^3)^(1/2))/(21*x^9) - (16*a*(a + b/x^3)^(1/2))/(105*x^6) - (2*a^2*(a + b/x^3)^(1/2))/(105*b*x^3)","B"
2015,1,88,59,2.845716,"\text{Not used}","int((a + b/x^3)^(3/2)/x^10,x)","\frac{8\,a^3\,\sqrt{a+\frac{b}{x^3}}}{945\,b^2\,x^3}-\frac{2\,b\,\sqrt{a+\frac{b}{x^3}}}{27\,x^{12}}-\frac{16\,a^4\,\sqrt{a+\frac{b}{x^3}}}{945\,b^3}-\frac{20\,a\,\sqrt{a+\frac{b}{x^3}}}{189\,x^9}-\frac{2\,a^2\,\sqrt{a+\frac{b}{x^3}}}{315\,b\,x^6}","Not used",1,"(8*a^3*(a + b/x^3)^(1/2))/(945*b^2*x^3) - (2*b*(a + b/x^3)^(1/2))/(27*x^12) - (16*a^4*(a + b/x^3)^(1/2))/(945*b^3) - (20*a*(a + b/x^3)^(1/2))/(189*x^9) - (2*a^2*(a + b/x^3)^(1/2))/(315*b*x^6)","B"
2016,1,108,80,3.432175,"\text{Not used}","int((a + b/x^3)^(3/2)/x^13,x)","\frac{32\,a^5\,\sqrt{a+\frac{b}{x^3}}}{3465\,b^4}-\frac{2\,b\,\sqrt{a+\frac{b}{x^3}}}{33\,x^{15}}-\frac{8\,a\,\sqrt{a+\frac{b}{x^3}}}{99\,x^{12}}-\frac{16\,a^4\,\sqrt{a+\frac{b}{x^3}}}{3465\,b^3\,x^3}+\frac{4\,a^3\,\sqrt{a+\frac{b}{x^3}}}{1155\,b^2\,x^6}-\frac{2\,a^2\,\sqrt{a+\frac{b}{x^3}}}{693\,b\,x^9}","Not used",1,"(32*a^5*(a + b/x^3)^(1/2))/(3465*b^4) - (2*b*(a + b/x^3)^(1/2))/(33*x^15) - (8*a*(a + b/x^3)^(1/2))/(99*x^12) - (16*a^4*(a + b/x^3)^(1/2))/(3465*b^3*x^3) + (4*a^3*(a + b/x^3)^(1/2))/(1155*b^2*x^6) - (2*a^2*(a + b/x^3)^(1/2))/(693*b*x^9)","B"
2017,1,79,74,1.743539,"\text{Not used}","int(x^5/(a + b/x^3)^(1/2),x)","\frac{x^6\,\sqrt{a+\frac{b}{x^3}}}{6\,a}+\frac{b^2\,\ln\left(x^6\,\left(\sqrt{a+\frac{b}{x^3}}-\sqrt{a}\right)\,{\left(\sqrt{a+\frac{b}{x^3}}+\sqrt{a}\right)}^3\right)}{8\,a^{5/2}}-\frac{b\,x^3\,\sqrt{a+\frac{b}{x^3}}}{4\,a^2}","Not used",1,"(x^6*(a + b/x^3)^(1/2))/(6*a) + (b^2*log(x^6*((a + b/x^3)^(1/2) - a^(1/2))*((a + b/x^3)^(1/2) + a^(1/2))^3))/(8*a^(5/2)) - (b*x^3*(a + b/x^3)^(1/2))/(4*a^2)","B"
2018,1,59,50,1.653717,"\text{Not used}","int(x^2/(a + b/x^3)^(1/2),x)","\frac{b\,\ln\left(x^6\,{\left(\sqrt{a+\frac{b}{x^3}}-\sqrt{a}\right)}^3\,\left(\sqrt{a+\frac{b}{x^3}}+\sqrt{a}\right)\right)}{6\,a^{3/2}}+\frac{x^3\,\sqrt{a+\frac{b}{x^3}}}{3\,a}","Not used",1,"(b*log(x^6*((a + b/x^3)^(1/2) - a^(1/2))^3*((a + b/x^3)^(1/2) + a^(1/2))))/(6*a^(3/2)) + (x^3*(a + b/x^3)^(1/2))/(3*a)","B"
2019,1,19,27,1.305085,"\text{Not used}","int(1/(x*(a + b/x^3)^(1/2)),x)","\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^3}}}{\sqrt{a}}\right)}{3\,\sqrt{a}}","Not used",1,"(2*atanh((a + b/x^3)^(1/2)/a^(1/2)))/(3*a^(1/2))","B"
2020,1,14,18,1.183009,"\text{Not used}","int(1/(x^4*(a + b/x^3)^(1/2)),x)","-\frac{2\,\sqrt{a+\frac{b}{x^3}}}{3\,b}","Not used",1,"-(2*(a + b/x^3)^(1/2))/(3*b)","B"
2021,1,25,38,1.251749,"\text{Not used}","int(1/(x^7*(a + b/x^3)^(1/2)),x)","-\frac{2\,\sqrt{a+\frac{b}{x^3}}\,\left(b-2\,a\,x^3\right)}{9\,b^2\,x^3}","Not used",1,"-(2*(a + b/x^3)^(1/2)*(b - 2*a*x^3))/(9*b^2*x^3)","B"
2022,1,56,59,1.350877,"\text{Not used}","int(1/(x^10*(a + b/x^3)^(1/2)),x)","-\frac{6\,b^2\,\sqrt{a+\frac{b}{x^3}}+16\,a^2\,x^6\,\sqrt{a+\frac{b}{x^3}}-8\,a\,b\,x^3\,\sqrt{a+\frac{b}{x^3}}}{45\,b^3\,x^6}","Not used",1,"-(6*b^2*(a + b/x^3)^(1/2) + 16*a^2*x^6*(a + b/x^3)^(1/2) - 8*a*b*x^3*(a + b/x^3)^(1/2))/(45*b^3*x^6)","B"
2023,1,73,80,1.439292,"\text{Not used}","int(1/(x^13*(a + b/x^3)^(1/2)),x)","\frac{32\,a^3\,\sqrt{a+\frac{b}{x^3}}}{105\,b^4}-\frac{2\,\sqrt{a+\frac{b}{x^3}}}{21\,b\,x^9}+\frac{4\,a\,\sqrt{a+\frac{b}{x^3}}}{35\,b^2\,x^6}-\frac{16\,a^2\,\sqrt{a+\frac{b}{x^3}}}{105\,b^3\,x^3}","Not used",1,"(32*a^3*(a + b/x^3)^(1/2))/(105*b^4) - (2*(a + b/x^3)^(1/2))/(21*b*x^9) + (4*a*(a + b/x^3)^(1/2))/(35*b^2*x^6) - (16*a^2*(a + b/x^3)^(1/2))/(105*b^3*x^3)","B"
2024,0,-1,294,0.000000,"\text{Not used}","int(x^7/(a + b/x^3)^(1/2),x)","\int \frac{x^7}{\sqrt{a+\frac{b}{x^3}}} \,d x","Not used",1,"int(x^7/(a + b/x^3)^(1/2), x)","F"
2025,0,-1,270,0.000000,"\text{Not used}","int(x^4/(a + b/x^3)^(1/2),x)","\int \frac{x^4}{\sqrt{a+\frac{b}{x^3}}} \,d x","Not used",1,"int(x^4/(a + b/x^3)^(1/2), x)","F"
2026,0,-1,248,0.000000,"\text{Not used}","int(x/(a + b/x^3)^(1/2),x)","\int \frac{x}{\sqrt{a+\frac{b}{x^3}}} \,d x","Not used",1,"int(x/(a + b/x^3)^(1/2), x)","F"
2027,1,40,221,1.279669,"\text{Not used}","int(1/(x^2*(a + b/x^3)^(1/2)),x)","-\frac{\sqrt{\frac{b}{a\,x^3}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{2};\ \frac{4}{3};\ -\frac{b}{a\,x^3}\right)}{x\,\sqrt{a+\frac{b}{x^3}}}","Not used",1,"-((b/(a*x^3) + 1)^(1/2)*hypergeom([1/3, 1/2], 4/3, -b/(a*x^3)))/(x*(a + b/x^3)^(1/2))","B"
2028,0,-1,246,0.000000,"\text{Not used}","int(1/(x^5*(a + b/x^3)^(1/2)),x)","\int \frac{1}{x^5\,\sqrt{a+\frac{b}{x^3}}} \,d x","Not used",1,"int(1/(x^5*(a + b/x^3)^(1/2)), x)","F"
2029,0,-1,270,0.000000,"\text{Not used}","int(1/(x^8*(a + b/x^3)^(1/2)),x)","\int \frac{1}{x^8\,\sqrt{a+\frac{b}{x^3}}} \,d x","Not used",1,"int(1/(x^8*(a + b/x^3)^(1/2)), x)","F"
2030,0,-1,566,0.000000,"\text{Not used}","int(x^6/(a + b/x^3)^(1/2),x)","\int \frac{x^6}{\sqrt{a+\frac{b}{x^3}}} \,d x","Not used",1,"int(x^6/(a + b/x^3)^(1/2), x)","F"
2031,0,-1,542,0.000000,"\text{Not used}","int(x^3/(a + b/x^3)^(1/2),x)","\int \frac{x^3}{\sqrt{a+\frac{b}{x^3}}} \,d x","Not used",1,"int(x^3/(a + b/x^3)^(1/2), x)","F"
2032,1,38,513,1.162113,"\text{Not used}","int(1/(a + b/x^3)^(1/2),x)","\frac{2\,x\,\sqrt{\frac{a\,x^3}{b}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{5}{6};\ \frac{11}{6};\ -\frac{a\,x^3}{b}\right)}{5\,\sqrt{a+\frac{b}{x^3}}}","Not used",1,"(2*x*((a*x^3)/b + 1)^(1/2)*hypergeom([1/2, 5/6], 11/6, -(a*x^3)/b))/(5*(a + b/x^3)^(1/2))","B"
2033,0,-1,491,0.000000,"\text{Not used}","int(1/(x^3*(a + b/x^3)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{a+\frac{b}{x^3}}} \,d x","Not used",1,"int(1/(x^3*(a + b/x^3)^(1/2)), x)","F"
2034,0,-1,520,0.000000,"\text{Not used}","int(1/(x^6*(a + b/x^3)^(1/2)),x)","\int \frac{1}{x^6\,\sqrt{a+\frac{b}{x^3}}} \,d x","Not used",1,"int(1/(x^6*(a + b/x^3)^(1/2)), x)","F"
2035,0,-1,544,0.000000,"\text{Not used}","int(1/(x^9*(a + b/x^3)^(1/2)),x)","\int \frac{1}{x^9\,\sqrt{a+\frac{b}{x^3}}} \,d x","Not used",1,"int(1/(x^9*(a + b/x^3)^(1/2)), x)","F"
2036,0,-1,568,0.000000,"\text{Not used}","int(1/(x^12*(a + b/x^3)^(1/2)),x)","\int \frac{1}{x^{12}\,\sqrt{a+\frac{b}{x^3}}} \,d x","Not used",1,"int(1/(x^12*(a + b/x^3)^(1/2)), x)","F"
2037,1,96,95,1.926834,"\text{Not used}","int(x^5/(a + b/x^3)^(3/2),x)","\frac{x^6\,\sqrt{a+\frac{b}{x^3}}}{6\,a^2}-\frac{2\,b^2}{3\,a^3\,\sqrt{a+\frac{b}{x^3}}}+\frac{5\,b^2\,\ln\left(x^6\,\left(\sqrt{a+\frac{b}{x^3}}-\sqrt{a}\right)\,{\left(\sqrt{a+\frac{b}{x^3}}+\sqrt{a}\right)}^3\right)}{8\,a^{7/2}}-\frac{7\,b\,x^3\,\sqrt{a+\frac{b}{x^3}}}{12\,a^3}","Not used",1,"(x^6*(a + b/x^3)^(1/2))/(6*a^2) - (2*b^2)/(3*a^3*(a + b/x^3)^(1/2)) + (5*b^2*log(x^6*((a + b/x^3)^(1/2) - a^(1/2))*((a + b/x^3)^(1/2) + a^(1/2))^3))/(8*a^(7/2)) - (7*b*x^3*(a + b/x^3)^(1/2))/(12*a^3)","B"
2038,1,73,64,1.758194,"\text{Not used}","int(x^2/(a + b/x^3)^(3/2),x)","\frac{b}{a^2\,\sqrt{a+\frac{b}{x^3}}}+\frac{b\,\ln\left(x^6\,{\left(\sqrt{a+\frac{b}{x^3}}-\sqrt{a}\right)}^3\,\left(\sqrt{a+\frac{b}{x^3}}+\sqrt{a}\right)\right)}{2\,a^{5/2}}+\frac{x^3}{3\,a\,\sqrt{a+\frac{b}{x^3}}}","Not used",1,"b/(a^2*(a + b/x^3)^(1/2)) + (b*log(x^6*((a + b/x^3)^(1/2) - a^(1/2))^3*((a + b/x^3)^(1/2) + a^(1/2))))/(2*a^(5/2)) + x^3/(3*a*(a + b/x^3)^(1/2))","B"
2039,1,34,46,1.387913,"\text{Not used}","int(1/(x*(a + b/x^3)^(3/2)),x)","\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^3}}}{\sqrt{a}}\right)}{3\,a^{3/2}}-\frac{2}{3\,a\,\sqrt{a+\frac{b}{x^3}}}","Not used",1,"(2*atanh((a + b/x^3)^(1/2)/a^(1/2)))/(3*a^(3/2)) - 2/(3*a*(a + b/x^3)^(1/2))","B"
2040,1,14,18,1.221496,"\text{Not used}","int(1/(x^4*(a + b/x^3)^(3/2)),x)","\frac{2}{3\,b\,\sqrt{a+\frac{b}{x^3}}}","Not used",1,"2/(3*b*(a + b/x^3)^(1/2))","B"
2041,1,31,38,1.248559,"\text{Not used}","int(1/(x^7*(a + b/x^3)^(3/2)),x)","-\frac{2\,\sqrt{a+\frac{b}{x^3}}\,\left(2\,a\,x^3+b\right)}{3\,b^2\,\left(a\,x^3+b\right)}","Not used",1,"-(2*(a + b/x^3)^(1/2)*(b + 2*a*x^3))/(3*b^2*(b + a*x^3))","B"
2042,1,62,59,1.362110,"\text{Not used}","int(1/(x^10*(a + b/x^3)^(3/2)),x)","\frac{10\,a\,\sqrt{a+\frac{b}{x^3}}}{9\,b^3}-\frac{2\,\sqrt{a+\frac{b}{x^3}}}{9\,b^2\,x^3}+\frac{2\,a^2\,x^3\,\sqrt{a+\frac{b}{x^3}}}{3\,b^3\,\left(a\,x^3+b\right)}","Not used",1,"(10*a*(a + b/x^3)^(1/2))/(9*b^3) - (2*(a + b/x^3)^(1/2))/(9*b^2*x^3) + (2*a^2*x^3*(a + b/x^3)^(1/2))/(3*b^3*(b + a*x^3))","B"
2043,1,82,78,1.515756,"\text{Not used}","int(1/(x^13*(a + b/x^3)^(3/2)),x)","\frac{2\,a\,\sqrt{a+\frac{b}{x^3}}}{5\,b^3\,x^3}-\frac{2\,\sqrt{a+\frac{b}{x^3}}}{15\,b^2\,x^6}-\frac{22\,a^2\,\sqrt{a+\frac{b}{x^3}}}{15\,b^4}-\frac{2\,a^3\,x^3\,\sqrt{a+\frac{b}{x^3}}}{3\,b^4\,\left(a\,x^3+b\right)}","Not used",1,"(2*a*(a + b/x^3)^(1/2))/(5*b^3*x^3) - (2*(a + b/x^3)^(1/2))/(15*b^2*x^6) - (22*a^2*(a + b/x^3)^(1/2))/(15*b^4) - (2*a^3*x^3*(a + b/x^3)^(1/2))/(3*b^4*(b + a*x^3))","B"
2044,0,-1,315,0.000000,"\text{Not used}","int(x^7/(a + b/x^3)^(3/2),x)","\int \frac{x^7}{{\left(a+\frac{b}{x^3}\right)}^{3/2}} \,d x","Not used",1,"int(x^7/(a + b/x^3)^(3/2), x)","F"
2045,0,-1,291,0.000000,"\text{Not used}","int(x^4/(a + b/x^3)^(3/2),x)","\int \frac{x^4}{{\left(a+\frac{b}{x^3}\right)}^{3/2}} \,d x","Not used",1,"int(x^4/(a + b/x^3)^(3/2), x)","F"
2046,0,-1,269,0.000000,"\text{Not used}","int(x/(a + b/x^3)^(3/2),x)","\int \frac{x}{{\left(a+\frac{b}{x^3}\right)}^{3/2}} \,d x","Not used",1,"int(x/(a + b/x^3)^(3/2), x)","F"
2047,1,40,248,1.444747,"\text{Not used}","int(1/(x^2*(a + b/x^3)^(3/2)),x)","-\frac{{\left(\frac{b}{a\,x^3}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{3}{2};\ \frac{4}{3};\ -\frac{b}{a\,x^3}\right)}{x\,{\left(a+\frac{b}{x^3}\right)}^{3/2}}","Not used",1,"-((b/(a*x^3) + 1)^(3/2)*hypergeom([1/3, 3/2], 4/3, -b/(a*x^3)))/(x*(a + b/x^3)^(3/2))","B"
2048,0,-1,245,0.000000,"\text{Not used}","int(1/(x^5*(a + b/x^3)^(3/2)),x)","\int \frac{1}{x^5\,{\left(a+\frac{b}{x^3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^5*(a + b/x^3)^(3/2)), x)","F"
2049,0,-1,267,0.000000,"\text{Not used}","int(1/(x^8*(a + b/x^3)^(3/2)),x)","\int \frac{1}{x^8\,{\left(a+\frac{b}{x^3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^8*(a + b/x^3)^(3/2)), x)","F"
2050,0,-1,587,0.000000,"\text{Not used}","int(x^6/(a + b/x^3)^(3/2),x)","\int \frac{x^6}{{\left(a+\frac{b}{x^3}\right)}^{3/2}} \,d x","Not used",1,"int(x^6/(a + b/x^3)^(3/2), x)","F"
2051,0,-1,563,0.000000,"\text{Not used}","int(x^3/(a + b/x^3)^(3/2),x)","\int \frac{x^3}{{\left(a+\frac{b}{x^3}\right)}^{3/2}} \,d x","Not used",1,"int(x^3/(a + b/x^3)^(3/2), x)","F"
2052,1,38,539,1.265221,"\text{Not used}","int(1/(a + b/x^3)^(3/2),x)","\frac{2\,x\,{\left(\frac{a\,x^3}{b}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{2},\frac{11}{6};\ \frac{17}{6};\ -\frac{a\,x^3}{b}\right)}{11\,{\left(a+\frac{b}{x^3}\right)}^{3/2}}","Not used",1,"(2*x*((a*x^3)/b + 1)^(3/2)*hypergeom([3/2, 11/6], 17/6, -(a*x^3)/b))/(11*(a + b/x^3)^(3/2))","B"
2053,0,-1,520,0.000000,"\text{Not used}","int(1/(x^3*(a + b/x^3)^(3/2)),x)","\int \frac{1}{x^3\,{\left(a+\frac{b}{x^3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(a + b/x^3)^(3/2)), x)","F"
2054,0,-1,517,0.000000,"\text{Not used}","int(1/(x^6*(a + b/x^3)^(3/2)),x)","\int \frac{1}{x^6\,{\left(a+\frac{b}{x^3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^6*(a + b/x^3)^(3/2)), x)","F"
2055,0,-1,541,0.000000,"\text{Not used}","int(1/(x^9*(a + b/x^3)^(3/2)),x)","\int \frac{1}{x^9\,{\left(a+\frac{b}{x^3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^9*(a + b/x^3)^(3/2)), x)","F"
2056,0,-1,565,0.000000,"\text{Not used}","int(1/(x^12*(a + b/x^3)^(3/2)),x)","\int \frac{1}{x^{12}\,{\left(a+\frac{b}{x^3}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^12*(a + b/x^3)^(3/2)), x)","F"
2057,1,48,190,0.100476,"\text{Not used}","int(1/(a + b/x^4),x)","\frac{x}{a}-\frac{{\left(-b\right)}^{1/4}\,\mathrm{atan}\left(\frac{a^{1/4}\,x}{{\left(-b\right)}^{1/4}}\right)}{2\,a^{5/4}}-\frac{{\left(-b\right)}^{1/4}\,\mathrm{atanh}\left(\frac{a^{1/4}\,x}{{\left(-b\right)}^{1/4}}\right)}{2\,a^{5/4}}","Not used",1,"x/a - ((-b)^(1/4)*atan((a^(1/4)*x)/(-b)^(1/4)))/(2*a^(5/4)) - ((-b)^(1/4)*atanh((a^(1/4)*x)/(-b)^(1/4)))/(2*a^(5/4))","B"
2058,1,35,47,1.567947,"\text{Not used}","int(x^3*(a + b/x^4)^(1/2),x)","\frac{x^4\,\sqrt{a+\frac{b}{x^4}}}{4}+\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^4}}}{\sqrt{a}}\right)}{4\,\sqrt{a}}","Not used",1,"(x^4*(a + b/x^4)^(1/2))/4 + (b*atanh((a + b/x^4)^(1/2)/a^(1/2)))/(4*a^(1/2))","B"
2059,0,-1,49,0.000000,"\text{Not used}","int(x*(a + b/x^4)^(1/2),x)","\int x\,\sqrt{a+\frac{b}{x^4}} \,d x","Not used",1,"int(x*(a + b/x^4)^(1/2), x)","F"
2060,1,31,43,1.337279,"\text{Not used}","int((a + b/x^4)^(1/2)/x,x)","\frac{\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^4}}}{\sqrt{a}}\right)}{2}-\frac{\sqrt{a+\frac{b}{x^4}}}{2}","Not used",1,"(a^(1/2)*atanh((a + b/x^4)^(1/2)/a^(1/2)))/2 - (a + b/x^4)^(1/2)/2","B"
2061,0,-1,50,0.000000,"\text{Not used}","int((a + b/x^4)^(1/2)/x^3,x)","\int \frac{\sqrt{a+\frac{b}{x^4}}}{x^3} \,d x","Not used",1,"int((a + b/x^4)^(1/2)/x^3, x)","F"
2062,0,-1,107,0.000000,"\text{Not used}","int(x^2*(a + b/x^4)^(1/2),x)","\int x^2\,\sqrt{a+\frac{b}{x^4}} \,d x","Not used",1,"int(x^2*(a + b/x^4)^(1/2), x)","F"
2063,1,38,224,1.232324,"\text{Not used}","int((a + b/x^4)^(1/2),x)","-\frac{x\,\sqrt{a+\frac{b}{x^4}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},-\frac{1}{4};\ \frac{3}{4};\ -\frac{a\,x^4}{b}\right)}{\sqrt{\frac{a\,x^4}{b}+1}}","Not used",1,"-(x*(a + b/x^4)^(1/2)*hypergeom([-1/2, -1/4], 3/4, -(a*x^4)/b))/((a*x^4)/b + 1)^(1/2)","B"
2064,1,39,107,1.342937,"\text{Not used}","int((a + b/x^4)^(1/2)/x^2,x)","-\frac{\sqrt{a\,x^4+b}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{1}{4};\ \frac{5}{4};\ -\frac{b}{a\,x^4}\right)}{x\,\sqrt{\frac{b}{a}+x^4}}","Not used",1,"-((b + a*x^4)^(1/2)*hypergeom([-1/2, 1/4], 5/4, -b/(a*x^4)))/(x*(b/a + x^4)^(1/2))","B"
2065,0,-1,236,0.000000,"\text{Not used}","int((a + b/x^4)^(1/2)/x^4,x)","\int \frac{\sqrt{a+\frac{b}{x^4}}}{x^4} \,d x","Not used",1,"int((a + b/x^4)^(1/2)/x^4, x)","F"
2066,1,48,63,1.738696,"\text{Not used}","int(x^3*(a + b/x^4)^(3/2),x)","\frac{a\,x^4\,\sqrt{a+\frac{b}{x^4}}}{4}-\frac{b\,\sqrt{a+\frac{b}{x^4}}}{2}+\frac{3\,\sqrt{a}\,b\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^4}}}{\sqrt{a}}\right)}{4}","Not used",1,"(a*x^4*(a + b/x^4)^(1/2))/4 - (b*(a + b/x^4)^(1/2))/2 + (3*a^(1/2)*b*atanh((a + b/x^4)^(1/2)/a^(1/2)))/4","B"
2067,0,-1,69,0.000000,"\text{Not used}","int(x*(a + b/x^4)^(3/2),x)","\int x\,{\left(a+\frac{b}{x^4}\right)}^{3/2} \,d x","Not used",1,"int(x*(a + b/x^4)^(3/2), x)","F"
2068,1,43,59,1.503270,"\text{Not used}","int((a + b/x^4)^(3/2)/x,x)","\frac{a^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^4}}}{\sqrt{a}}\right)}{2}-\frac{a\,\sqrt{a+\frac{b}{x^4}}}{2}-\frac{{\left(a+\frac{b}{x^4}\right)}^{3/2}}{6}","Not used",1,"(a^(3/2)*atanh((a + b/x^4)^(1/2)/a^(1/2)))/2 - (a*(a + b/x^4)^(1/2))/2 - (a + b/x^4)^(3/2)/6","B"
2069,0,-1,71,0.000000,"\text{Not used}","int((a + b/x^4)^(3/2)/x^3,x)","\int \frac{{\left(a+\frac{b}{x^4}\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((a + b/x^4)^(3/2)/x^3, x)","F"
2070,0,-1,126,0.000000,"\text{Not used}","int(x^2*(a + b/x^4)^(3/2),x)","\int x^2\,{\left(a+\frac{b}{x^4}\right)}^{3/2} \,d x","Not used",1,"int(x^2*(a + b/x^4)^(3/2), x)","F"
2071,1,38,250,1.421876,"\text{Not used}","int((a + b/x^4)^(3/2),x)","-\frac{x\,{\left(a+\frac{b}{x^4}\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},-\frac{5}{4};\ -\frac{1}{4};\ -\frac{a\,x^4}{b}\right)}{5\,{\left(\frac{a\,x^4}{b}+1\right)}^{3/2}}","Not used",1,"-(x*(a + b/x^4)^(3/2)*hypergeom([-3/2, -5/4], -1/4, -(a*x^4)/b))/(5*((a*x^4)/b + 1)^(3/2))","B"
2072,1,39,126,1.574652,"\text{Not used}","int((a + b/x^4)^(3/2)/x^2,x)","-\frac{{\left(a\,x^4+b\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{1}{4};\ \frac{5}{4};\ -\frac{b}{a\,x^4}\right)}{x\,{\left(\frac{b}{a}+x^4\right)}^{3/2}}","Not used",1,"-((b + a*x^4)^(3/2)*hypergeom([-3/2, 1/4], 5/4, -b/(a*x^4)))/(x*(b/a + x^4)^(3/2))","B"
2073,0,-1,257,0.000000,"\text{Not used}","int((a + b/x^4)^(3/2)/x^4,x)","\int \frac{{\left(a+\frac{b}{x^4}\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((a + b/x^4)^(3/2)/x^4, x)","F"
2074,1,66,80,2.036069,"\text{Not used}","int(x^3*(a + b/x^4)^(5/2),x)","\frac{a^2\,x^4\,\sqrt{a+\frac{b}{x^4}}}{4}-\frac{b\,{\left(a+\frac{b}{x^4}\right)}^{3/2}}{6}-a\,b\,\sqrt{a+\frac{b}{x^4}}-\frac{a^{3/2}\,b\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x^4}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{4}","Not used",1,"(a^2*x^4*(a + b/x^4)^(1/2))/4 - (b*(a + b/x^4)^(3/2))/6 - (a^(3/2)*b*atan(((a + b/x^4)^(1/2)*1i)/a^(1/2))*5i)/4 - a*b*(a + b/x^4)^(1/2)","B"
2075,0,-1,91,0.000000,"\text{Not used}","int(x*(a + b/x^4)^(5/2),x)","\int x\,{\left(a+\frac{b}{x^4}\right)}^{5/2} \,d x","Not used",1,"int(x*(a + b/x^4)^(5/2), x)","F"
2076,1,60,77,1.874203,"\text{Not used}","int((a + b/x^4)^(5/2)/x,x)","-\frac{a\,{\left(a+\frac{b}{x^4}\right)}^{3/2}}{6}-\frac{{\left(a+\frac{b}{x^4}\right)}^{5/2}}{10}-\frac{a^2\,\sqrt{a+\frac{b}{x^4}}}{2}-\frac{a^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{a+\frac{b}{x^4}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,1{}\mathrm{i}}{2}","Not used",1,"- (a^(5/2)*atan(((a + b/x^4)^(1/2)*1i)/a^(1/2))*1i)/2 - (a*(a + b/x^4)^(3/2))/6 - (a + b/x^4)^(5/2)/10 - (a^2*(a + b/x^4)^(1/2))/2","B"
2077,0,-1,92,0.000000,"\text{Not used}","int((a + b/x^4)^(5/2)/x^3,x)","\int \frac{{\left(a+\frac{b}{x^4}\right)}^{5/2}}{x^3} \,d x","Not used",1,"int((a + b/x^4)^(5/2)/x^3, x)","F"
2078,0,-1,146,0.000000,"\text{Not used}","int(x^2*(a + b/x^4)^(5/2),x)","\int x^2\,{\left(a+\frac{b}{x^4}\right)}^{5/2} \,d x","Not used",1,"int(x^2*(a + b/x^4)^(5/2), x)","F"
2079,1,38,272,1.705026,"\text{Not used}","int((a + b/x^4)^(5/2),x)","-\frac{x\,{\left(a+\frac{b}{x^4}\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{2},-\frac{9}{4};\ -\frac{5}{4};\ -\frac{a\,x^4}{b}\right)}{9\,{\left(\frac{a\,x^4}{b}+1\right)}^{5/2}}","Not used",1,"-(x*(a + b/x^4)^(5/2)*hypergeom([-5/2, -9/4], -5/4, -(a*x^4)/b))/(9*((a*x^4)/b + 1)^(5/2))","B"
2080,1,39,147,2.000405,"\text{Not used}","int((a + b/x^4)^(5/2)/x^2,x)","-\frac{{\left(a\,x^4+b\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{2},\frac{1}{4};\ \frac{5}{4};\ -\frac{b}{a\,x^4}\right)}{x\,{\left(\frac{b}{a}+x^4\right)}^{5/2}}","Not used",1,"-((b + a*x^4)^(5/2)*hypergeom([-5/2, 1/4], 5/4, -b/(a*x^4)))/(x*(b/a + x^4)^(5/2))","B"
2081,0,-1,278,0.000000,"\text{Not used}","int((a + b/x^4)^(5/2)/x^4,x)","\int \frac{{\left(a+\frac{b}{x^4}\right)}^{5/2}}{x^4} \,d x","Not used",1,"int((a + b/x^4)^(5/2)/x^4, x)","F"
2082,1,38,50,1.574925,"\text{Not used}","int(x^3/(a + b/x^4)^(1/2),x)","\frac{x^4\,\sqrt{a+\frac{b}{x^4}}}{4\,a}-\frac{b\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^4}}}{\sqrt{a}}\right)}{4\,a^{3/2}}","Not used",1,"(x^4*(a + b/x^4)^(1/2))/(4*a) - (b*atanh((a + b/x^4)^(1/2)/a^(1/2)))/(4*a^(3/2))","B"
2083,1,17,21,1.320384,"\text{Not used}","int(x/(a + b/x^4)^(1/2),x)","\frac{x^2\,\sqrt{a+\frac{b}{x^4}}}{2\,a}","Not used",1,"(x^2*(a + b/x^4)^(1/2))/(2*a)","B"
2084,1,19,27,1.299249,"\text{Not used}","int(1/(x*(a + b/x^4)^(1/2)),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^4}}}{\sqrt{a}}\right)}{2\,\sqrt{a}}","Not used",1,"atanh((a + b/x^4)^(1/2)/a^(1/2))/(2*a^(1/2))","B"
2085,0,-1,30,0.000000,"\text{Not used}","int(1/(x^3*(a + b/x^4)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{a+\frac{b}{x^4}}} \,d x","Not used",1,"int(1/(x^3*(a + b/x^4)^(1/2)), x)","F"
2086,0,-1,110,0.000000,"\text{Not used}","int(x^2/(a + b/x^4)^(1/2),x)","\int \frac{x^2}{\sqrt{a+\frac{b}{x^4}}} \,d x","Not used",1,"int(x^2/(a + b/x^4)^(1/2), x)","F"
2087,1,43,231,1.189337,"\text{Not used}","int(1/(a + b/x^4)^(1/2),x)","\frac{x\,\sqrt{\frac{a\,x^4}{b}+1}\,\sqrt{x^4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{3}{4};\ \frac{7}{4};\ -\frac{a\,x^4}{b}\right)}{3\,\sqrt{a\,x^4+b}}","Not used",1,"(x*((a*x^4)/b + 1)^(1/2)*(x^4)^(1/2)*hypergeom([1/2, 3/4], 7/4, -(a*x^4)/b))/(3*(b + a*x^4)^(1/2))","B"
2088,1,39,88,1.259791,"\text{Not used}","int(1/(x^2*(a + b/x^4)^(1/2)),x)","-\frac{\sqrt{\frac{b}{a}+x^4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{5}{4};\ -\frac{b}{a\,x^4}\right)}{x\,\sqrt{a\,x^4+b}}","Not used",1,"-((b/a + x^4)^(1/2)*hypergeom([1/4, 1/2], 5/4, -b/(a*x^4)))/(x*(b + a*x^4)^(1/2))","B"
2089,0,-1,212,0.000000,"\text{Not used}","int(1/(x^4*(a + b/x^4)^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{a+\frac{b}{x^4}}} \,d x","Not used",1,"int(1/(x^4*(a + b/x^4)^(1/2)), x)","F"
2090,1,53,69,1.756834,"\text{Not used}","int(x^3/(a + b/x^4)^(3/2),x)","\frac{3\,b}{4\,a^2\,\sqrt{a+\frac{b}{x^4}}}+\frac{x^4}{4\,a\,\sqrt{a+\frac{b}{x^4}}}-\frac{3\,b\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^4}}}{\sqrt{a}}\right)}{4\,a^{5/2}}","Not used",1,"(3*b)/(4*a^2*(a + b/x^4)^(1/2)) + x^4/(4*a*(a + b/x^4)^(1/2)) - (3*b*atanh((a + b/x^4)^(1/2)/a^(1/2)))/(4*a^(5/2))","B"
2091,1,24,40,1.394516,"\text{Not used}","int(x/(a + b/x^4)^(3/2),x)","\frac{\frac{a\,x^4}{2}+b}{a^2\,x^2\,\sqrt{a+\frac{b}{x^4}}}","Not used",1,"(b + (a*x^4)/2)/(a^2*x^2*(a + b/x^4)^(1/2))","B"
2092,1,34,46,1.359950,"\text{Not used}","int(1/(x*(a + b/x^4)^(3/2)),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^4}}}{\sqrt{a}}\right)}{2\,a^{3/2}}-\frac{1}{2\,a\,\sqrt{a+\frac{b}{x^4}}}","Not used",1,"atanh((a + b/x^4)^(1/2)/a^(1/2))/(2*a^(3/2)) - 1/(2*a*(a + b/x^4)^(1/2))","B"
2093,1,26,21,1.216722,"\text{Not used}","int(1/(x^3*(a + b/x^4)^(3/2)),x)","-\frac{x^2\,\sqrt{a+\frac{b}{x^4}}}{2\,a\,\left(a\,x^4+b\right)}","Not used",1,"-(x^2*(a + b/x^4)^(1/2))/(2*a*(b + a*x^4))","B"
2094,0,-1,131,0.000000,"\text{Not used}","int(x^2/(a + b/x^4)^(3/2),x)","\int \frac{x^2}{{\left(a+\frac{b}{x^4}\right)}^{3/2}} \,d x","Not used",1,"int(x^2/(a + b/x^4)^(3/2), x)","F"
2095,1,43,258,1.231754,"\text{Not used}","int(1/(a + b/x^4)^(3/2),x)","\frac{x\,{\left(\frac{a\,x^4}{b}+1\right)}^{3/2}\,\sqrt{x^{12}}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{2},\frac{7}{4};\ \frac{11}{4};\ -\frac{a\,x^4}{b}\right)}{7\,{\left(a\,x^4+b\right)}^{3/2}}","Not used",1,"(x*((a*x^4)/b + 1)^(3/2)*(x^12)^(1/2)*hypergeom([3/2, 7/4], 11/4, -(a*x^4)/b))/(7*(b + a*x^4)^(3/2))","B"
2096,1,39,110,1.368946,"\text{Not used}","int(1/(x^2*(a + b/x^4)^(3/2)),x)","-\frac{{\left(\frac{b}{a}+x^4\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{2};\ \frac{5}{4};\ -\frac{b}{a\,x^4}\right)}{x\,{\left(a\,x^4+b\right)}^{3/2}}","Not used",1,"-((b/a + x^4)^(3/2)*hypergeom([1/4, 3/2], 5/4, -b/(a*x^4)))/(x*(b + a*x^4)^(3/2))","B"
2097,0,-1,241,0.000000,"\text{Not used}","int(1/(x^4*(a + b/x^4)^(3/2)),x)","\int \frac{1}{x^4\,{\left(a+\frac{b}{x^4}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^4*(a + b/x^4)^(3/2)), x)","F"
2098,1,73,88,1.886240,"\text{Not used}","int(x^3/(a + b/x^4)^(5/2),x)","\frac{5\,b}{3\,a^2\,{\left(a+\frac{b}{x^4}\right)}^{3/2}}+\frac{x^4}{4\,a\,{\left(a+\frac{b}{x^4}\right)}^{3/2}}-\frac{5\,b\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^4}}}{\sqrt{a}}\right)}{4\,a^{7/2}}+\frac{5\,b^2}{4\,a^3\,x^4\,{\left(a+\frac{b}{x^4}\right)}^{3/2}}","Not used",1,"(5*b)/(3*a^2*(a + b/x^4)^(3/2)) + x^4/(4*a*(a + b/x^4)^(3/2)) - (5*b*atanh((a + b/x^4)^(1/2)/a^(1/2)))/(4*a^(7/2)) + (5*b^2)/(4*a^3*x^4*(a + b/x^4)^(3/2))","B"
2099,1,38,64,1.477245,"\text{Not used}","int(x/(a + b/x^4)^(5/2),x)","\frac{3\,a^2\,x^8+12\,a\,b\,x^4+8\,b^2}{6\,a^3\,x^6\,{\left(a+\frac{b}{x^4}\right)}^{3/2}}","Not used",1,"(8*b^2 + 3*a^2*x^8 + 12*a*b*x^4)/(6*a^3*x^6*(a + b/x^4)^(3/2))","B"
2100,1,48,64,1.383274,"\text{Not used}","int(1/(x*(a + b/x^4)^(5/2)),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^4}}}{\sqrt{a}}\right)}{2\,a^{5/2}}-\frac{\frac{a+\frac{b}{x^4}}{a^2}+\frac{1}{3\,a}}{2\,{\left(a+\frac{b}{x^4}\right)}^{3/2}}","Not used",1,"atanh((a + b/x^4)^(1/2)/a^(1/2))/(2*a^(5/2)) - ((a + b/x^4)/a^2 + 1/(3*a))/(2*(a + b/x^4)^(3/2))","B"
2101,1,36,44,1.271451,"\text{Not used}","int(1/(x^3*(a + b/x^4)^(5/2)),x)","-\frac{x^2\,\sqrt{a+\frac{b}{x^4}}\,\left(3\,a\,x^4+2\,b\right)}{6\,a^2\,{\left(a\,x^4+b\right)}^2}","Not used",1,"-(x^2*(a + b/x^4)^(1/2)*(2*b + 3*a*x^4))/(6*a^2*(b + a*x^4)^2)","B"
2102,0,-1,152,0.000000,"\text{Not used}","int(x^2/(a + b/x^4)^(5/2),x)","\int \frac{x^2}{{\left(a+\frac{b}{x^4}\right)}^{5/2}} \,d x","Not used",1,"int(x^2/(a + b/x^4)^(5/2), x)","F"
2103,1,43,277,1.299435,"\text{Not used}","int(1/(a + b/x^4)^(5/2),x)","\frac{x\,{\left(\frac{a\,x^4}{b}+1\right)}^{5/2}\,\sqrt{x^{20}}\,{{}}_2{\mathrm{F}}_1\left(\frac{5}{2},\frac{11}{4};\ \frac{15}{4};\ -\frac{a\,x^4}{b}\right)}{11\,{\left(a\,x^4+b\right)}^{5/2}}","Not used",1,"(x*((a*x^4)/b + 1)^(5/2)*(x^20)^(1/2)*hypergeom([5/2, 11/4], 15/4, -(a*x^4)/b))/(11*(b + a*x^4)^(5/2))","B"
2104,1,39,131,1.435603,"\text{Not used}","int(1/(x^2*(a + b/x^4)^(5/2)),x)","-\frac{{\left(\frac{b}{a}+x^4\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{5}{2};\ \frac{5}{4};\ -\frac{b}{a\,x^4}\right)}{x\,{\left(a\,x^4+b\right)}^{5/2}}","Not used",1,"-((b/a + x^4)^(5/2)*hypergeom([1/4, 5/2], 5/4, -b/(a*x^4)))/(x*(b + a*x^4)^(5/2))","B"
2105,0,-1,262,0.000000,"\text{Not used}","int(1/(x^4*(a + b/x^4)^(5/2)),x)","\int \frac{1}{x^4\,{\left(a+\frac{b}{x^4}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^4*(a + b/x^4)^(5/2)), x)","F"
2106,1,290,310,1.626166,"\text{Not used}","int(1/(a + b/x^5),x)","\frac{x}{a}+\frac{{\left(-b\right)}^{1/5}\,\ln\left({\left(-b\right)}^{16/5}+a^{1/5}\,b^3\,x\right)}{5\,a^{6/5}}-\frac{{\left(-b\right)}^{1/5}\,\ln\left(25\,a^{4/5}\,{\left(-b\right)}^{16/5}\,\left(\frac{\sqrt{-2\,\sqrt{5}-10}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)-5\,a\,b^3\,x\right)\,\left(\frac{\sqrt{-2\,\sqrt{5}-10}}{20}-\frac{\sqrt{5}}{20}+\frac{1}{20}\right)}{a^{6/5}}+\frac{{\left(-b\right)}^{1/5}\,\ln\left(25\,a^{4/5}\,{\left(-b\right)}^{16/5}\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{-2\,\sqrt{5}-10}}{20}-\frac{1}{20}\right)+5\,a\,b^3\,x\right)\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{-2\,\sqrt{5}-10}}{20}-\frac{1}{20}\right)}{a^{6/5}}-\frac{{\left(-b\right)}^{1/5}\,\ln\left(25\,a^{4/5}\,{\left(-b\right)}^{16/5}\,\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2\,\sqrt{5}-10}}{20}+\frac{1}{20}\right)-5\,a\,b^3\,x\right)\,\left(\frac{\sqrt{5}}{20}-\frac{\sqrt{2\,\sqrt{5}-10}}{20}+\frac{1}{20}\right)}{a^{6/5}}-\frac{{\left(-b\right)}^{1/5}\,\ln\left(25\,a^{4/5}\,{\left(-b\right)}^{16/5}\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2\,\sqrt{5}-10}}{20}+\frac{1}{20}\right)-5\,a\,b^3\,x\right)\,\left(\frac{\sqrt{5}}{20}+\frac{\sqrt{2\,\sqrt{5}-10}}{20}+\frac{1}{20}\right)}{a^{6/5}}","Not used",1,"x/a + ((-b)^(1/5)*log((-b)^(16/5) + a^(1/5)*b^3*x))/(5*a^(6/5)) - ((-b)^(1/5)*log(25*a^(4/5)*(-b)^(16/5)*((- 2*5^(1/2) - 10)^(1/2)/20 - 5^(1/2)/20 + 1/20) - 5*a*b^3*x)*((- 2*5^(1/2) - 10)^(1/2)/20 - 5^(1/2)/20 + 1/20))/a^(6/5) + ((-b)^(1/5)*log(25*a^(4/5)*(-b)^(16/5)*(5^(1/2)/20 + (- 2*5^(1/2) - 10)^(1/2)/20 - 1/20) + 5*a*b^3*x)*(5^(1/2)/20 + (- 2*5^(1/2) - 10)^(1/2)/20 - 1/20))/a^(6/5) - ((-b)^(1/5)*log(25*a^(4/5)*(-b)^(16/5)*(5^(1/2)/20 - (2*5^(1/2) - 10)^(1/2)/20 + 1/20) - 5*a*b^3*x)*(5^(1/2)/20 - (2*5^(1/2) - 10)^(1/2)/20 + 1/20))/a^(6/5) - ((-b)^(1/5)*log(25*a^(4/5)*(-b)^(16/5)*(5^(1/2)/20 + (2*5^(1/2) - 10)^(1/2)/20 + 1/20) - 5*a*b^3*x)*(5^(1/2)/20 + (2*5^(1/2) - 10)^(1/2)/20 + 1/20))/a^(6/5)","B"
2107,1,19,27,1.349690,"\text{Not used}","int(1/(x*(a + b/x^5)^(1/2)),x)","\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a+\frac{b}{x^5}}}{\sqrt{a}}\right)}{5\,\sqrt{a}}","Not used",1,"(2*atanh((a + b/x^5)^(1/2)/a^(1/2)))/(5*a^(1/2))","B"
2108,1,21,29,1.307960,"\text{Not used}","int(1/(x*(b/x^5 - a)^(1/2)),x)","-\frac{2\,\mathrm{atan}\left(\frac{\sqrt{\frac{b}{x^5}-a}}{\sqrt{a}}\right)}{5\,\sqrt{a}}","Not used",1,"-(2*atan((b/x^5 - a)^(1/2)/a^(1/2)))/(5*a^(1/2))","B"
2109,1,227,220,1.233847,"\text{Not used}","int(1/(a + b/x^6),x)","\frac{x}{a}+\frac{{\left(-b\right)}^{1/6}\,\mathrm{atan}\left(\frac{a^{1/6}\,x\,1{}\mathrm{i}}{{\left(-b\right)}^{1/6}}\right)\,1{}\mathrm{i}}{3\,a^{7/6}}+\frac{{\left(-b\right)}^{1/6}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{25/6}\,x\,1{}\mathrm{i}}{a^{1/6}\,\left(\frac{{\left(-b\right)}^{13/3}}{a^{1/3}}+\frac{\sqrt{3}\,{\left(-b\right)}^{13/3}\,1{}\mathrm{i}}{a^{1/3}}\right)}+\frac{\sqrt{3}\,{\left(-b\right)}^{25/6}\,x}{a^{1/6}\,\left(\frac{{\left(-b\right)}^{13/3}}{a^{1/3}}+\frac{\sqrt{3}\,{\left(-b\right)}^{13/3}\,1{}\mathrm{i}}{a^{1/3}}\right)}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,a^{7/6}}-\frac{{\left(-b\right)}^{1/6}\,\mathrm{atan}\left(\frac{{\left(-b\right)}^{25/6}\,x\,1{}\mathrm{i}}{a^{1/6}\,\left(\frac{{\left(-b\right)}^{13/3}}{a^{1/3}}-\frac{\sqrt{3}\,{\left(-b\right)}^{13/3}\,1{}\mathrm{i}}{a^{1/3}}\right)}-\frac{\sqrt{3}\,{\left(-b\right)}^{25/6}\,x}{a^{1/6}\,\left(\frac{{\left(-b\right)}^{13/3}}{a^{1/3}}-\frac{\sqrt{3}\,{\left(-b\right)}^{13/3}\,1{}\mathrm{i}}{a^{1/3}}\right)}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}}{3\,a^{7/6}}","Not used",1,"x/a + ((-b)^(1/6)*atan((a^(1/6)*x*1i)/(-b)^(1/6))*1i)/(3*a^(7/6)) + ((-b)^(1/6)*atan(((-b)^(25/6)*x*1i)/(a^(1/6)*((-b)^(13/3)/a^(1/3) + (3^(1/2)*(-b)^(13/3)*1i)/a^(1/3))) + (3^(1/2)*(-b)^(25/6)*x)/(a^(1/6)*((-b)^(13/3)/a^(1/3) + (3^(1/2)*(-b)^(13/3)*1i)/a^(1/3))))*((3^(1/2)*1i)/2 - 1/2)*1i)/(3*a^(7/6)) - ((-b)^(1/6)*atan(((-b)^(25/6)*x*1i)/(a^(1/6)*((-b)^(13/3)/a^(1/3) - (3^(1/2)*(-b)^(13/3)*1i)/a^(1/3))) - (3^(1/2)*(-b)^(25/6)*x)/(a^(1/6)*((-b)^(13/3)/a^(1/3) - (3^(1/2)*(-b)^(13/3)*1i)/a^(1/3))))*((3^(1/2)*1i)/2 + 1/2)*1i)/(3*a^(7/6))","B"
2110,1,115,272,1.208750,"\text{Not used}","int(1/(a + b/x^8),x)","\frac{x}{a}-\frac{{\left(-b\right)}^{1/8}\,\mathrm{atan}\left(\frac{a^{1/8}\,x}{{\left(-b\right)}^{1/8}}\right)}{4\,a^{9/8}}+\frac{{\left(-b\right)}^{1/8}\,\mathrm{atan}\left(\frac{a^{1/8}\,x\,1{}\mathrm{i}}{{\left(-b\right)}^{1/8}}\right)\,1{}\mathrm{i}}{4\,a^{9/8}}+\frac{\sqrt{2}\,{\left(-b\right)}^{1/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,a^{1/8}\,x\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{{\left(-b\right)}^{1/8}}\right)\,\left(-\frac{1}{8}-\frac{1}{8}{}\mathrm{i}\right)}{a^{9/8}}+\frac{\sqrt{2}\,{\left(-b\right)}^{1/8}\,\mathrm{atan}\left(\frac{\sqrt{2}\,a^{1/8}\,x\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{{\left(-b\right)}^{1/8}}\right)\,\left(-\frac{1}{8}+\frac{1}{8}{}\mathrm{i}\right)}{a^{9/8}}","Not used",1,"x/a - ((-b)^(1/8)*atan((a^(1/8)*x)/(-b)^(1/8)))/(4*a^(9/8)) + ((-b)^(1/8)*atan((a^(1/8)*x*1i)/(-b)^(1/8))*1i)/(4*a^(9/8)) - (2^(1/2)*(-b)^(1/8)*atan((2^(1/2)*a^(1/8)*x*(1/2 - 1i/2))/(-b)^(1/8))*(1/8 + 1i/8))/a^(9/8) - (2^(1/2)*(-b)^(1/8)*atan((2^(1/2)*a^(1/8)*x*(1/2 + 1i/2))/(-b)^(1/8))*(1/8 - 1i/8))/a^(9/8)","B"
2111,1,13,19,0.028201,"\text{Not used}","int(x^4*(a + b*x^(1/2)),x)","\frac{a\,x^5}{5}+\frac{2\,b\,x^{11/2}}{11}","Not used",1,"(a*x^5)/5 + (2*b*x^(11/2))/11","B"
2112,1,13,19,0.026199,"\text{Not used}","int(x^3*(a + b*x^(1/2)),x)","\frac{a\,x^4}{4}+\frac{2\,b\,x^{9/2}}{9}","Not used",1,"(a*x^4)/4 + (2*b*x^(9/2))/9","B"
2113,1,13,19,0.024263,"\text{Not used}","int(x^2*(a + b*x^(1/2)),x)","\frac{a\,x^3}{3}+\frac{2\,b\,x^{7/2}}{7}","Not used",1,"(a*x^3)/3 + (2*b*x^(7/2))/7","B"
2114,1,13,19,0.024149,"\text{Not used}","int(x*(a + b*x^(1/2)),x)","\frac{a\,x^2}{2}+\frac{2\,b\,x^{5/2}}{5}","Not used",1,"(a*x^2)/2 + (2*b*x^(5/2))/5","B"
2115,1,10,14,0.024779,"\text{Not used}","int(a + b*x^(1/2),x)","a\,x+\frac{2\,b\,x^{3/2}}{3}","Not used",1,"a*x + (2*b*x^(3/2))/3","B"
2116,1,11,13,0.051532,"\text{Not used}","int((a + b*x^(1/2))/x,x)","2\,b\,\sqrt{x}+a\,\ln\left(x\right)","Not used",1,"2*b*x^(1/2) + a*log(x)","B"
2117,1,13,15,0.036159,"\text{Not used}","int((a + b*x^(1/2))/x^2,x)","-\frac{a}{x}-\frac{2\,b}{\sqrt{x}}","Not used",1,"- a/x - (2*b)/x^(1/2)","B"
2118,1,13,19,0.026594,"\text{Not used}","int((a + b*x^(1/2))/x^3,x)","-\frac{a}{2\,x^2}-\frac{2\,b}{3\,x^{3/2}}","Not used",1,"- a/(2*x^2) - (2*b)/(3*x^(3/2))","B"
2119,1,15,19,0.028760,"\text{Not used}","int((a + b*x^(1/2))/x^4,x)","-\frac{5\,a+6\,b\,\sqrt{x}}{15\,x^3}","Not used",1,"-(5*a + 6*b*x^(1/2))/(15*x^3)","B"
2120,1,24,32,1.103784,"\text{Not used}","int(x^4*(a + b*x^(1/2))^2,x)","\frac{a^2\,x^5}{5}+\frac{b^2\,x^6}{6}+\frac{4\,a\,b\,x^{11/2}}{11}","Not used",1,"(a^2*x^5)/5 + (b^2*x^6)/6 + (4*a*b*x^(11/2))/11","B"
2121,1,24,32,0.033609,"\text{Not used}","int(x^3*(a + b*x^(1/2))^2,x)","\frac{a^2\,x^4}{4}+\frac{b^2\,x^5}{5}+\frac{4\,a\,b\,x^{9/2}}{9}","Not used",1,"(a^2*x^4)/4 + (b^2*x^5)/5 + (4*a*b*x^(9/2))/9","B"
2122,1,24,32,1.086796,"\text{Not used}","int(x^2*(a + b*x^(1/2))^2,x)","\frac{a^2\,x^3}{3}+\frac{b^2\,x^4}{4}+\frac{4\,a\,b\,x^{7/2}}{7}","Not used",1,"(a^2*x^3)/3 + (b^2*x^4)/4 + (4*a*b*x^(7/2))/7","B"
2123,1,24,32,0.033957,"\text{Not used}","int(x*(a + b*x^(1/2))^2,x)","\frac{a^2\,x^2}{2}+\frac{b^2\,x^3}{3}+\frac{4\,a\,b\,x^{5/2}}{5}","Not used",1,"(a^2*x^2)/2 + (b^2*x^3)/3 + (4*a*b*x^(5/2))/5","B"
2124,1,21,27,0.032425,"\text{Not used}","int((a + b*x^(1/2))^2,x)","a^2\,x+\frac{b^2\,x^2}{2}+\frac{4\,a\,b\,x^{3/2}}{3}","Not used",1,"a^2*x + (b^2*x^2)/2 + (4*a*b*x^(3/2))/3","B"
2125,1,22,21,1.088562,"\text{Not used}","int((a + b*x^(1/2))^2/x,x)","2\,a^2\,\ln\left(\sqrt{x}\right)+b^2\,x+4\,a\,b\,\sqrt{x}","Not used",1,"2*a^2*log(x^(1/2)) + b^2*x + 4*a*b*x^(1/2)","B"
2126,1,26,24,1.081922,"\text{Not used}","int((a + b*x^(1/2))^2/x^2,x)","2\,b^2\,\ln\left(\sqrt{x}\right)-\frac{a^2+4\,a\,b\,\sqrt{x}}{x}","Not used",1,"2*b^2*log(x^(1/2)) - (a^2 + 4*a*b*x^(1/2))/x","B"
2127,1,24,30,0.025111,"\text{Not used}","int((a + b*x^(1/2))^2/x^3,x)","-\frac{6\,b^2\,x+3\,a^2+8\,a\,b\,\sqrt{x}}{6\,x^2}","Not used",1,"-(6*b^2*x + 3*a^2 + 8*a*b*x^(1/2))/(6*x^2)","B"
2128,1,24,32,0.025966,"\text{Not used}","int((a + b*x^(1/2))^2/x^4,x)","-\frac{15\,b^2\,x+10\,a^2+24\,a\,b\,\sqrt{x}}{30\,x^3}","Not used",1,"-(15*b^2*x + 10*a^2 + 24*a*b*x^(1/2))/(30*x^3)","B"
2129,1,24,32,0.026806,"\text{Not used}","int((a + b*x^(1/2))^2/x^5,x)","-\frac{28\,b^2\,x+21\,a^2+48\,a\,b\,\sqrt{x}}{84\,x^4}","Not used",1,"-(28*b^2*x + 21*a^2 + 48*a*b*x^(1/2))/(84*x^4)","B"
2130,1,35,47,0.041651,"\text{Not used}","int(x^4*(a + b*x^(1/2))^3,x)","\frac{a^3\,x^5}{5}+\frac{2\,b^3\,x^{13/2}}{13}+\frac{a\,b^2\,x^6}{2}+\frac{6\,a^2\,b\,x^{11/2}}{11}","Not used",1,"(a^3*x^5)/5 + (2*b^3*x^(13/2))/13 + (a*b^2*x^6)/2 + (6*a^2*b*x^(11/2))/11","B"
2131,1,35,47,0.041499,"\text{Not used}","int(x^3*(a + b*x^(1/2))^3,x)","\frac{a^3\,x^4}{4}+\frac{2\,b^3\,x^{11/2}}{11}+\frac{3\,a\,b^2\,x^5}{5}+\frac{2\,a^2\,b\,x^{9/2}}{3}","Not used",1,"(a^3*x^4)/4 + (2*b^3*x^(11/2))/11 + (3*a*b^2*x^5)/5 + (2*a^2*b*x^(9/2))/3","B"
2132,1,35,47,0.041629,"\text{Not used}","int(x^2*(a + b*x^(1/2))^3,x)","\frac{a^3\,x^3}{3}+\frac{2\,b^3\,x^{9/2}}{9}+\frac{3\,a\,b^2\,x^4}{4}+\frac{6\,a^2\,b\,x^{7/2}}{7}","Not used",1,"(a^3*x^3)/3 + (2*b^3*x^(9/2))/9 + (3*a*b^2*x^4)/4 + (6*a^2*b*x^(7/2))/7","B"
2133,1,34,44,0.044477,"\text{Not used}","int(x*(a + b*x^(1/2))^3,x)","\frac{a^3\,x^2}{2}+\frac{2\,b^3\,x^{7/2}}{7}+a\,b^2\,x^3+\frac{6\,a^2\,b\,x^{5/2}}{5}","Not used",1,"(a^3*x^2)/2 + (2*b^3*x^(7/2))/7 + a*b^2*x^3 + (6*a^2*b*x^(5/2))/5","B"
2134,1,32,38,0.039253,"\text{Not used}","int((a + b*x^(1/2))^3,x)","a^3\,x+\frac{2\,b^3\,x^{5/2}}{5}+\frac{3\,a\,b^2\,x^2}{2}+2\,a^2\,b\,x^{3/2}","Not used",1,"a^3*x + (2*b^3*x^(5/2))/5 + (3*a*b^2*x^2)/2 + 2*a^2*b*x^(3/2)","B"
2135,1,34,37,0.037048,"\text{Not used}","int((a + b*x^(1/2))^3/x,x)","2\,a^3\,\ln\left(\sqrt{x}\right)+\frac{2\,b^3\,x^{3/2}}{3}+6\,a^2\,b\,\sqrt{x}+3\,a\,b^2\,x","Not used",1,"2*a^3*log(x^(1/2)) + (2*b^3*x^(3/2))/3 + 6*a^2*b*x^(1/2) + 3*a*b^2*x","B"
2136,1,37,38,1.096695,"\text{Not used}","int((a + b*x^(1/2))^3/x^2,x)","2\,b^3\,\sqrt{x}-\frac{a^3+6\,a^2\,b\,\sqrt{x}}{x}+6\,a\,b^2\,\ln\left(\sqrt{x}\right)","Not used",1,"2*b^3*x^(1/2) - (a^3 + 6*a^2*b*x^(1/2))/x + 6*a*b^2*log(x^(1/2))","B"
2137,1,33,21,0.030690,"\text{Not used}","int((a + b*x^(1/2))^3/x^3,x)","-\frac{a^3+4\,b^3\,x^{3/2}+4\,a^2\,b\,\sqrt{x}+6\,a\,b^2\,x}{2\,x^2}","Not used",1,"-(a^3 + 4*b^3*x^(3/2) + 4*a^2*b*x^(1/2) + 6*a*b^2*x)/(2*x^2)","B"
2138,1,35,47,1.071735,"\text{Not used}","int((a + b*x^(1/2))^3/x^4,x)","-\frac{10\,a^3+20\,b^3\,x^{3/2}+36\,a^2\,b\,\sqrt{x}+45\,a\,b^2\,x}{30\,x^3}","Not used",1,"-(10*a^3 + 20*b^3*x^(3/2) + 36*a^2*b*x^(1/2) + 45*a*b^2*x)/(30*x^3)","B"
2139,1,35,45,0.029816,"\text{Not used}","int((a + b*x^(1/2))^3/x^5,x)","-\frac{35\,a^3+56\,b^3\,x^{3/2}+120\,a^2\,b\,\sqrt{x}+140\,a\,b^2\,x}{140\,x^4}","Not used",1,"-(35*a^3 + 56*b^3*x^(3/2) + 120*a^2*b*x^(1/2) + 140*a*b^2*x)/(140*x^4)","B"
2140,1,35,47,0.033329,"\text{Not used}","int((a + b*x^(1/2))^3/x^6,x)","-\frac{84\,a^3+120\,b^3\,x^{3/2}+280\,a^2\,b\,\sqrt{x}+315\,a\,b^2\,x}{420\,x^5}","Not used",1,"-(84*a^3 + 120*b^3*x^(3/2) + 280*a^2*b*x^(1/2) + 315*a*b^2*x)/(420*x^5)","B"
2141,1,57,75,0.026918,"\text{Not used}","int(x^4*(a + b*x^(1/2))^5,x)","\frac{a^5\,x^5}{5}+\frac{2\,b^5\,x^{15/2}}{15}+\frac{5\,a\,b^4\,x^7}{7}+\frac{10\,a^4\,b\,x^{11/2}}{11}+\frac{5\,a^3\,b^2\,x^6}{3}+\frac{20\,a^2\,b^3\,x^{13/2}}{13}","Not used",1,"(a^5*x^5)/5 + (2*b^5*x^(15/2))/15 + (5*a*b^4*x^7)/7 + (10*a^4*b*x^(11/2))/11 + (5*a^3*b^2*x^6)/3 + (20*a^2*b^3*x^(13/2))/13","B"
2142,1,57,73,0.026734,"\text{Not used}","int(x^3*(a + b*x^(1/2))^5,x)","\frac{a^5\,x^4}{4}+\frac{2\,b^5\,x^{13/2}}{13}+\frac{5\,a\,b^4\,x^6}{6}+\frac{10\,a^4\,b\,x^{9/2}}{9}+2\,a^3\,b^2\,x^5+\frac{20\,a^2\,b^3\,x^{11/2}}{11}","Not used",1,"(a^5*x^4)/4 + (2*b^5*x^(13/2))/13 + (5*a*b^4*x^6)/6 + (10*a^4*b*x^(9/2))/9 + 2*a^3*b^2*x^5 + (20*a^2*b^3*x^(11/2))/11","B"
2143,1,56,72,0.025042,"\text{Not used}","int(x^2*(a + b*x^(1/2))^5,x)","\frac{a^5\,x^3}{3}+\frac{2\,b^5\,x^{11/2}}{11}+a\,b^4\,x^5+\frac{10\,a^4\,b\,x^{7/2}}{7}+\frac{5\,a^3\,b^2\,x^4}{2}+\frac{20\,a^2\,b^3\,x^{9/2}}{9}","Not used",1,"(a^5*x^3)/3 + (2*b^5*x^(11/2))/11 + a*b^4*x^5 + (10*a^4*b*x^(7/2))/7 + (5*a^3*b^2*x^4)/2 + (20*a^2*b^3*x^(9/2))/9","B"
2144,1,57,80,0.025136,"\text{Not used}","int(x*(a + b*x^(1/2))^5,x)","\frac{a^5\,x^2}{2}+\frac{2\,b^5\,x^{9/2}}{9}+\frac{5\,a\,b^4\,x^4}{4}+2\,a^4\,b\,x^{5/2}+\frac{10\,a^3\,b^2\,x^3}{3}+\frac{20\,a^2\,b^3\,x^{7/2}}{7}","Not used",1,"(a^5*x^2)/2 + (2*b^5*x^(9/2))/9 + (5*a*b^4*x^4)/4 + 2*a^4*b*x^(5/2) + (10*a^3*b^2*x^3)/3 + (20*a^2*b^3*x^(7/2))/7","B"
2145,1,54,38,0.024905,"\text{Not used}","int((a + b*x^(1/2))^5,x)","a^5\,x+\frac{2\,b^5\,x^{7/2}}{7}+\frac{5\,a\,b^4\,x^3}{3}+\frac{10\,a^4\,b\,x^{3/2}}{3}+5\,a^3\,b^2\,x^2+4\,a^2\,b^3\,x^{5/2}","Not used",1,"a^5*x + (2*b^5*x^(7/2))/7 + (5*a*b^4*x^3)/3 + (10*a^4*b*x^(3/2))/3 + 5*a^3*b^2*x^2 + 4*a^2*b^3*x^(5/2)","B"
2146,1,56,65,0.029823,"\text{Not used}","int((a + b*x^(1/2))^5/x,x)","2\,a^5\,\ln\left(\sqrt{x}\right)+\frac{2\,b^5\,x^{5/2}}{5}+10\,a^3\,b^2\,x+\frac{5\,a\,b^4\,x^2}{2}+10\,a^4\,b\,\sqrt{x}+\frac{20\,a^2\,b^3\,x^{3/2}}{3}","Not used",1,"2*a^5*log(x^(1/2)) + (2*b^5*x^(5/2))/5 + 10*a^3*b^2*x + (5*a*b^4*x^2)/2 + 10*a^4*b*x^(1/2) + (20*a^2*b^3*x^(3/2))/3","B"
2147,1,57,62,0.030868,"\text{Not used}","int((a + b*x^(1/2))^5/x^2,x)","\frac{2\,b^5\,x^{3/2}}{3}-\frac{a^5+10\,a^4\,b\,\sqrt{x}}{x}+20\,a^3\,b^2\,\ln\left(\sqrt{x}\right)+20\,a^2\,b^3\,\sqrt{x}+5\,a\,b^4\,x","Not used",1,"(2*b^5*x^(3/2))/3 - (a^5 + 10*a^4*b*x^(1/2))/x + 20*a^3*b^2*log(x^(1/2)) + 20*a^2*b^3*x^(1/2) + 5*a*b^4*x","B"
2148,1,59,66,0.049342,"\text{Not used}","int((a + b*x^(1/2))^5/x^3,x)","2\,b^5\,\sqrt{x}-\frac{\frac{a^5}{2}+10\,a^3\,b^2\,x+\frac{10\,a^4\,b\,\sqrt{x}}{3}+20\,a^2\,b^3\,x^{3/2}}{x^2}+10\,a\,b^4\,\ln\left(\sqrt{x}\right)","Not used",1,"2*b^5*x^(1/2) - (a^5/2 + 10*a^3*b^2*x + (10*a^4*b*x^(1/2))/3 + 20*a^2*b^3*x^(3/2))/x^2 + 10*a*b^4*log(x^(1/2))","B"
2149,1,55,21,1.111487,"\text{Not used}","int((a + b*x^(1/2))^5/x^4,x)","-\frac{a^5+6\,b^5\,x^{5/2}+15\,a^3\,b^2\,x+15\,a\,b^4\,x^2+6\,a^4\,b\,\sqrt{x}+20\,a^2\,b^3\,x^{3/2}}{3\,x^3}","Not used",1,"-(a^5 + 6*b^5*x^(5/2) + 15*a^3*b^2*x + 15*a*b^4*x^2 + 6*a^4*b*x^(1/2) + 20*a^2*b^3*x^(3/2))/(3*x^3)","B"
2150,1,57,70,1.097901,"\text{Not used}","int((a + b*x^(1/2))^5/x^5,x)","-\frac{21\,a^5+56\,b^5\,x^{5/2}+280\,a^3\,b^2\,x+210\,a\,b^4\,x^2+120\,a^4\,b\,\sqrt{x}+336\,a^2\,b^3\,x^{3/2}}{84\,x^4}","Not used",1,"-(21*a^5 + 56*b^5*x^(5/2) + 280*a^3*b^2*x + 210*a*b^4*x^2 + 120*a^4*b*x^(1/2) + 336*a^2*b^3*x^(3/2))/(84*x^4)","B"
2151,1,57,75,0.039531,"\text{Not used}","int((a + b*x^(1/2))^5/x^6,x)","-\frac{126\,a^5+252\,b^5\,x^{5/2}+1575\,a^3\,b^2\,x+1050\,a\,b^4\,x^2+700\,a^4\,b\,\sqrt{x}+1800\,a^2\,b^3\,x^{3/2}}{630\,x^5}","Not used",1,"-(126*a^5 + 252*b^5*x^(5/2) + 1575*a^3*b^2*x + 1050*a*b^4*x^2 + 700*a^4*b*x^(1/2) + 1800*a^2*b^3*x^(3/2))/(630*x^5)","B"
2152,1,57,73,0.043099,"\text{Not used}","int((a + b*x^(1/2))^5/x^7,x)","-\frac{\frac{a^5}{6}+\frac{2\,b^5\,x^{5/2}}{7}+2\,a^3\,b^2\,x+\frac{5\,a\,b^4\,x^2}{4}+\frac{10\,a^4\,b\,\sqrt{x}}{11}+\frac{20\,a^2\,b^3\,x^{3/2}}{9}}{x^6}","Not used",1,"-(a^5/6 + (2*b^5*x^(5/2))/7 + 2*a^3*b^2*x + (5*a*b^4*x^2)/4 + (10*a^4*b*x^(1/2))/11 + (20*a^2*b^3*x^(3/2))/9)/x^6","B"
2153,1,112,140,1.089238,"\text{Not used}","int(x^4*(a + b*x^(1/2))^10,x)","\frac{a^{10}\,x^5}{5}+\frac{b^{10}\,x^{10}}{10}+\frac{20\,a^9\,b\,x^{11/2}}{11}+\frac{20\,a\,b^9\,x^{19/2}}{19}+\frac{15\,a^8\,b^2\,x^6}{2}+30\,a^6\,b^4\,x^7+\frac{105\,a^4\,b^6\,x^8}{4}+5\,a^2\,b^8\,x^9+\frac{240\,a^7\,b^3\,x^{13/2}}{13}+\frac{168\,a^5\,b^5\,x^{15/2}}{5}+\frac{240\,a^3\,b^7\,x^{17/2}}{17}","Not used",1,"(a^10*x^5)/5 + (b^10*x^10)/10 + (20*a^9*b*x^(11/2))/11 + (20*a*b^9*x^(19/2))/19 + (15*a^8*b^2*x^6)/2 + 30*a^6*b^4*x^7 + (105*a^4*b^6*x^8)/4 + 5*a^2*b^8*x^9 + (240*a^7*b^3*x^(13/2))/13 + (168*a^5*b^5*x^(15/2))/5 + (240*a^3*b^7*x^(17/2))/17","B"
2154,1,112,162,0.057843,"\text{Not used}","int(x^3*(a + b*x^(1/2))^10,x)","\frac{a^{10}\,x^4}{4}+\frac{b^{10}\,x^9}{9}+\frac{20\,a^9\,b\,x^{9/2}}{9}+\frac{20\,a\,b^9\,x^{17/2}}{17}+9\,a^8\,b^2\,x^5+35\,a^6\,b^4\,x^6+30\,a^4\,b^6\,x^7+\frac{45\,a^2\,b^8\,x^8}{8}+\frac{240\,a^7\,b^3\,x^{11/2}}{11}+\frac{504\,a^5\,b^5\,x^{13/2}}{13}+16\,a^3\,b^7\,x^{15/2}","Not used",1,"(a^10*x^4)/4 + (b^10*x^9)/9 + (20*a^9*b*x^(9/2))/9 + (20*a*b^9*x^(17/2))/17 + 9*a^8*b^2*x^5 + 35*a^6*b^4*x^6 + 30*a^4*b^6*x^7 + (45*a^2*b^8*x^8)/8 + (240*a^7*b^3*x^(11/2))/11 + (504*a^5*b^5*x^(13/2))/13 + 16*a^3*b^7*x^(15/2)","B"
2155,1,112,122,0.056437,"\text{Not used}","int(x^2*(a + b*x^(1/2))^10,x)","\frac{a^{10}\,x^3}{3}+\frac{b^{10}\,x^8}{8}+\frac{20\,a^9\,b\,x^{7/2}}{7}+\frac{4\,a\,b^9\,x^{15/2}}{3}+\frac{45\,a^8\,b^2\,x^4}{4}+42\,a^6\,b^4\,x^5+35\,a^4\,b^6\,x^6+\frac{45\,a^2\,b^8\,x^7}{7}+\frac{80\,a^7\,b^3\,x^{9/2}}{3}+\frac{504\,a^5\,b^5\,x^{11/2}}{11}+\frac{240\,a^3\,b^7\,x^{13/2}}{13}","Not used",1,"(a^10*x^3)/3 + (b^10*x^8)/8 + (20*a^9*b*x^(7/2))/7 + (4*a*b^9*x^(15/2))/3 + (45*a^8*b^2*x^4)/4 + 42*a^6*b^4*x^5 + 35*a^4*b^6*x^6 + (45*a^2*b^8*x^7)/7 + (80*a^7*b^3*x^(9/2))/3 + (504*a^5*b^5*x^(11/2))/11 + (240*a^3*b^7*x^(13/2))/13","B"
2156,1,112,80,0.057312,"\text{Not used}","int(x*(a + b*x^(1/2))^10,x)","\frac{a^{10}\,x^2}{2}+\frac{b^{10}\,x^7}{7}+4\,a^9\,b\,x^{5/2}+\frac{20\,a\,b^9\,x^{13/2}}{13}+15\,a^8\,b^2\,x^3+\frac{105\,a^6\,b^4\,x^4}{2}+42\,a^4\,b^6\,x^5+\frac{15\,a^2\,b^8\,x^6}{2}+\frac{240\,a^7\,b^3\,x^{7/2}}{7}+56\,a^5\,b^5\,x^{9/2}+\frac{240\,a^3\,b^7\,x^{11/2}}{11}","Not used",1,"(a^10*x^2)/2 + (b^10*x^7)/7 + 4*a^9*b*x^(5/2) + (20*a*b^9*x^(13/2))/13 + 15*a^8*b^2*x^3 + (105*a^6*b^4*x^4)/2 + 42*a^4*b^6*x^5 + (15*a^2*b^8*x^6)/2 + (240*a^7*b^3*x^(7/2))/7 + 56*a^5*b^5*x^(9/2) + (240*a^3*b^7*x^(11/2))/11","B"
2157,1,109,38,0.056476,"\text{Not used}","int((a + b*x^(1/2))^10,x)","a^{10}\,x+\frac{b^{10}\,x^6}{6}+\frac{20\,a^9\,b\,x^{3/2}}{3}+\frac{20\,a\,b^9\,x^{11/2}}{11}+\frac{45\,a^8\,b^2\,x^2}{2}+70\,a^6\,b^4\,x^3+\frac{105\,a^4\,b^6\,x^4}{2}+9\,a^2\,b^8\,x^5+48\,a^7\,b^3\,x^{5/2}+72\,a^5\,b^5\,x^{7/2}+\frac{80\,a^3\,b^7\,x^{9/2}}{3}","Not used",1,"a^10*x + (b^10*x^6)/6 + (20*a^9*b*x^(3/2))/3 + (20*a*b^9*x^(11/2))/11 + (45*a^8*b^2*x^2)/2 + 70*a^6*b^4*x^3 + (105*a^4*b^6*x^4)/2 + 9*a^2*b^8*x^5 + 48*a^7*b^3*x^(5/2) + 72*a^5*b^5*x^(7/2) + (80*a^3*b^7*x^(9/2))/3","B"
2158,1,111,128,0.060624,"\text{Not used}","int((a + b*x^(1/2))^10/x,x)","2\,a^{10}\,\ln\left(\sqrt{x}\right)+\frac{b^{10}\,x^5}{5}+45\,a^8\,b^2\,x+20\,a^9\,b\,\sqrt{x}+\frac{20\,a\,b^9\,x^{9/2}}{9}+105\,a^6\,b^4\,x^2+70\,a^4\,b^6\,x^3+\frac{45\,a^2\,b^8\,x^4}{4}+80\,a^7\,b^3\,x^{3/2}+\frac{504\,a^5\,b^5\,x^{5/2}}{5}+\frac{240\,a^3\,b^7\,x^{7/2}}{7}","Not used",1,"2*a^10*log(x^(1/2)) + (b^10*x^5)/5 + 45*a^8*b^2*x + 20*a^9*b*x^(1/2) + (20*a*b^9*x^(9/2))/9 + 105*a^6*b^4*x^2 + 70*a^4*b^6*x^3 + (45*a^2*b^8*x^4)/4 + 80*a^7*b^3*x^(3/2) + (504*a^5*b^5*x^(5/2))/5 + (240*a^3*b^7*x^(7/2))/7","B"
2159,1,112,123,0.059265,"\text{Not used}","int((a + b*x^(1/2))^10/x^2,x)","\frac{b^{10}\,x^4}{4}-\frac{a^{10}+20\,a^9\,b\,\sqrt{x}}{x}+90\,a^8\,b^2\,\ln\left(\sqrt{x}\right)+210\,a^6\,b^4\,x+\frac{20\,a\,b^9\,x^{7/2}}{7}+105\,a^4\,b^6\,x^2+15\,a^2\,b^8\,x^3+240\,a^7\,b^3\,\sqrt{x}+168\,a^5\,b^5\,x^{3/2}+48\,a^3\,b^7\,x^{5/2}","Not used",1,"(b^10*x^4)/4 - (a^10 + 20*a^9*b*x^(1/2))/x + 90*a^8*b^2*log(x^(1/2)) + 210*a^6*b^4*x + (20*a*b^9*x^(7/2))/7 + 105*a^4*b^6*x^2 + 15*a^2*b^8*x^3 + 240*a^7*b^3*x^(1/2) + 168*a^5*b^5*x^(3/2) + 48*a^3*b^7*x^(5/2)","B"
2160,1,112,127,0.049362,"\text{Not used}","int((a + b*x^(1/2))^10/x^3,x)","\frac{b^{10}\,x^3}{3}-\frac{\frac{a^{10}}{2}+45\,a^8\,b^2\,x+\frac{20\,a^9\,b\,\sqrt{x}}{3}+240\,a^7\,b^3\,x^{3/2}}{x^2}+420\,a^6\,b^4\,\ln\left(\sqrt{x}\right)+210\,a^4\,b^6\,x+4\,a\,b^9\,x^{5/2}+\frac{45\,a^2\,b^8\,x^2}{2}+504\,a^5\,b^5\,\sqrt{x}+80\,a^3\,b^7\,x^{3/2}","Not used",1,"(b^10*x^3)/3 - (a^10/2 + 45*a^8*b^2*x + (20*a^9*b*x^(1/2))/3 + 240*a^7*b^3*x^(3/2))/x^2 + 420*a^6*b^4*log(x^(1/2)) + 210*a^4*b^6*x + 4*a*b^9*x^(5/2) + (45*a^2*b^8*x^2)/2 + 504*a^5*b^5*x^(1/2) + 80*a^3*b^7*x^(3/2)","B"
2161,1,112,127,1.097031,"\text{Not used}","int((a + b*x^(1/2))^10/x^4,x)","\frac{b^{10}\,x^2}{2}-\frac{\frac{a^{10}}{3}+\frac{45\,a^8\,b^2\,x}{2}+4\,a^9\,b\,\sqrt{x}+210\,a^6\,b^4\,x^2+80\,a^7\,b^3\,x^{3/2}+504\,a^5\,b^5\,x^{5/2}}{x^3}+420\,a^4\,b^6\,\ln\left(\sqrt{x}\right)+45\,a^2\,b^8\,x+\frac{20\,a\,b^9\,x^{3/2}}{3}+240\,a^3\,b^7\,\sqrt{x}","Not used",1,"(b^10*x^2)/2 - (a^10/3 + (45*a^8*b^2*x)/2 + 4*a^9*b*x^(1/2) + 210*a^6*b^4*x^2 + 80*a^7*b^3*x^(3/2) + 504*a^5*b^5*x^(5/2))/x^3 + 420*a^4*b^6*log(x^(1/2)) + 45*a^2*b^8*x + (20*a*b^9*x^(3/2))/3 + 240*a^3*b^7*x^(1/2)","B"
2162,1,111,122,0.053523,"\text{Not used}","int((a + b*x^(1/2))^10/x^5,x)","b^{10}\,x-\frac{\frac{a^{10}}{4}+15\,a^8\,b^2\,x+\frac{20\,a^9\,b\,\sqrt{x}}{7}+105\,a^6\,b^4\,x^2+210\,a^4\,b^6\,x^3+48\,a^7\,b^3\,x^{3/2}+168\,a^5\,b^5\,x^{5/2}+240\,a^3\,b^7\,x^{7/2}}{x^4}+90\,a^2\,b^8\,\ln\left(\sqrt{x}\right)+20\,a\,b^9\,\sqrt{x}","Not used",1,"b^10*x - (a^10/4 + 15*a^8*b^2*x + (20*a^9*b*x^(1/2))/7 + 105*a^6*b^4*x^2 + 210*a^4*b^6*x^3 + 48*a^7*b^3*x^(3/2) + 168*a^5*b^5*x^(5/2) + 240*a^3*b^7*x^(7/2))/x^4 + 90*a^2*b^8*log(x^(1/2)) + 20*a*b^9*x^(1/2)","B"
2163,1,114,130,1.142162,"\text{Not used}","int((a + b*x^(1/2))^10/x^6,x)","2\,b^{10}\,\ln\left(\sqrt{x}\right)-\frac{\frac{a^{10}}{5}+\frac{45\,a^8\,b^2\,x}{4}+\frac{20\,a^9\,b\,\sqrt{x}}{9}+20\,a\,b^9\,x^{9/2}+70\,a^6\,b^4\,x^2+105\,a^4\,b^6\,x^3+45\,a^2\,b^8\,x^4+\frac{240\,a^7\,b^3\,x^{3/2}}{7}+\frac{504\,a^5\,b^5\,x^{5/2}}{5}+80\,a^3\,b^7\,x^{7/2}}{x^5}","Not used",1,"2*b^10*log(x^(1/2)) - (a^10/5 + (45*a^8*b^2*x)/4 + (20*a^9*b*x^(1/2))/9 + 20*a*b^9*x^(9/2) + 70*a^6*b^4*x^2 + 105*a^4*b^6*x^3 + 45*a^2*b^8*x^4 + (240*a^7*b^3*x^(3/2))/7 + (504*a^5*b^5*x^(5/2))/5 + 80*a^3*b^7*x^(7/2))/x^5","B"
2164,1,111,46,1.132147,"\text{Not used}","int((a + b*x^(1/2))^10/x^7,x)","-\frac{\frac{a^{10}}{6}+b^{10}\,x^5+9\,a^8\,b^2\,x+\frac{20\,a^9\,b\,\sqrt{x}}{11}+\frac{20\,a\,b^9\,x^{9/2}}{3}+\frac{105\,a^6\,b^4\,x^2}{2}+70\,a^4\,b^6\,x^3+\frac{45\,a^2\,b^8\,x^4}{2}+\frac{80\,a^7\,b^3\,x^{3/2}}{3}+72\,a^5\,b^5\,x^{5/2}+48\,a^3\,b^7\,x^{7/2}}{x^6}","Not used",1,"-(a^10/6 + b^10*x^5 + 9*a^8*b^2*x + (20*a^9*b*x^(1/2))/11 + (20*a*b^9*x^(9/2))/3 + (105*a^6*b^4*x^2)/2 + 70*a^4*b^6*x^3 + (45*a^2*b^8*x^4)/2 + (80*a^7*b^3*x^(3/2))/3 + 72*a^5*b^5*x^(5/2) + 48*a^3*b^7*x^(7/2))/x^6","B"
2165,1,112,96,1.132454,"\text{Not used}","int((a + b*x^(1/2))^10/x^8,x)","-\frac{\frac{a^{10}}{7}+\frac{b^{10}\,x^5}{2}+\frac{15\,a^8\,b^2\,x}{2}+\frac{20\,a^9\,b\,\sqrt{x}}{13}+4\,a\,b^9\,x^{9/2}+42\,a^6\,b^4\,x^2+\frac{105\,a^4\,b^6\,x^3}{2}+15\,a^2\,b^8\,x^4+\frac{240\,a^7\,b^3\,x^{3/2}}{11}+56\,a^5\,b^5\,x^{5/2}+\frac{240\,a^3\,b^7\,x^{7/2}}{7}}{x^7}","Not used",1,"-(a^10/7 + (b^10*x^5)/2 + (15*a^8*b^2*x)/2 + (20*a^9*b*x^(1/2))/13 + 4*a*b^9*x^(9/2) + 42*a^6*b^4*x^2 + (105*a^4*b^6*x^3)/2 + 15*a^2*b^8*x^4 + (240*a^7*b^3*x^(3/2))/11 + 56*a^5*b^5*x^(5/2) + (240*a^3*b^7*x^(7/2))/7)/x^7","B"
2166,1,112,146,0.088324,"\text{Not used}","int((a + b*x^(1/2))^10/x^9,x)","-\frac{\frac{a^{10}}{8}+\frac{b^{10}\,x^5}{3}+\frac{45\,a^8\,b^2\,x}{7}+\frac{4\,a^9\,b\,\sqrt{x}}{3}+\frac{20\,a\,b^9\,x^{9/2}}{7}+35\,a^6\,b^4\,x^2+42\,a^4\,b^6\,x^3+\frac{45\,a^2\,b^8\,x^4}{4}+\frac{240\,a^7\,b^3\,x^{3/2}}{13}+\frac{504\,a^5\,b^5\,x^{5/2}}{11}+\frac{80\,a^3\,b^7\,x^{7/2}}{3}}{x^8}","Not used",1,"-(a^10/8 + (b^10*x^5)/3 + (45*a^8*b^2*x)/7 + (4*a^9*b*x^(1/2))/3 + (20*a*b^9*x^(9/2))/7 + 35*a^6*b^4*x^2 + 42*a^4*b^6*x^3 + (45*a^2*b^8*x^4)/4 + (240*a^7*b^3*x^(3/2))/13 + (504*a^5*b^5*x^(5/2))/11 + (80*a^3*b^7*x^(7/2))/3)/x^8","B"
2167,1,112,136,0.091238,"\text{Not used}","int((a + b*x^(1/2))^10/x^10,x)","-\frac{\frac{a^{10}}{9}+\frac{b^{10}\,x^5}{4}+\frac{45\,a^8\,b^2\,x}{8}+\frac{20\,a^9\,b\,\sqrt{x}}{17}+\frac{20\,a\,b^9\,x^{9/2}}{9}+30\,a^6\,b^4\,x^2+35\,a^4\,b^6\,x^3+9\,a^2\,b^8\,x^4+16\,a^7\,b^3\,x^{3/2}+\frac{504\,a^5\,b^5\,x^{5/2}}{13}+\frac{240\,a^3\,b^7\,x^{7/2}}{11}}{x^9}","Not used",1,"-(a^10/9 + (b^10*x^5)/4 + (45*a^8*b^2*x)/8 + (20*a^9*b*x^(1/2))/17 + (20*a*b^9*x^(9/2))/9 + 30*a^6*b^4*x^2 + 35*a^4*b^6*x^3 + 9*a^2*b^8*x^4 + 16*a^7*b^3*x^(3/2) + (504*a^5*b^5*x^(5/2))/13 + (240*a^3*b^7*x^(7/2))/11)/x^9","B"
2168,1,112,140,1.117156,"\text{Not used}","int((a + b*x^(1/2))^10/x^11,x)","-\frac{\frac{a^{10}}{10}+\frac{b^{10}\,x^5}{5}+5\,a^8\,b^2\,x+\frac{20\,a^9\,b\,\sqrt{x}}{19}+\frac{20\,a\,b^9\,x^{9/2}}{11}+\frac{105\,a^6\,b^4\,x^2}{4}+30\,a^4\,b^6\,x^3+\frac{15\,a^2\,b^8\,x^4}{2}+\frac{240\,a^7\,b^3\,x^{3/2}}{17}+\frac{168\,a^5\,b^5\,x^{5/2}}{5}+\frac{240\,a^3\,b^7\,x^{7/2}}{13}}{x^{10}}","Not used",1,"-(a^10/10 + (b^10*x^5)/5 + 5*a^8*b^2*x + (20*a^9*b*x^(1/2))/19 + (20*a*b^9*x^(9/2))/11 + (105*a^6*b^4*x^2)/4 + 30*a^4*b^6*x^3 + (15*a^2*b^8*x^4)/2 + (240*a^7*b^3*x^(3/2))/17 + (168*a^5*b^5*x^(5/2))/5 + (240*a^3*b^7*x^(7/2))/13)/x^10","B"
2169,1,167,242,0.157991,"\text{Not used}","int(x^5*(a + b*x^(1/2))^15,x)","\frac{a^{15}\,x^6}{6}+\frac{2\,b^{15}\,x^{27/2}}{27}+\frac{15\,a\,b^{14}\,x^{13}}{13}+\frac{30\,a^{14}\,b\,x^{13/2}}{13}+15\,a^{13}\,b^2\,x^7+\frac{1365\,a^{11}\,b^4\,x^8}{8}+\frac{5005\,a^9\,b^6\,x^9}{9}+\frac{1287\,a^7\,b^8\,x^{10}}{2}+273\,a^5\,b^{10}\,x^{11}+\frac{455\,a^3\,b^{12}\,x^{12}}{12}+\frac{182\,a^{12}\,b^3\,x^{15/2}}{3}+\frac{6006\,a^{10}\,b^5\,x^{17/2}}{17}+\frac{12870\,a^8\,b^7\,x^{19/2}}{19}+\frac{1430\,a^6\,b^9\,x^{21/2}}{3}+\frac{2730\,a^4\,b^{11}\,x^{23/2}}{23}+\frac{42\,a^2\,b^{13}\,x^{25/2}}{5}","Not used",1,"(a^15*x^6)/6 + (2*b^15*x^(27/2))/27 + (15*a*b^14*x^13)/13 + (30*a^14*b*x^(13/2))/13 + 15*a^13*b^2*x^7 + (1365*a^11*b^4*x^8)/8 + (5005*a^9*b^6*x^9)/9 + (1287*a^7*b^8*x^10)/2 + 273*a^5*b^10*x^11 + (455*a^3*b^12*x^12)/12 + (182*a^12*b^3*x^(15/2))/3 + (6006*a^10*b^5*x^(17/2))/17 + (12870*a^8*b^7*x^(19/2))/19 + (1430*a^6*b^9*x^(21/2))/3 + (2730*a^4*b^11*x^(23/2))/23 + (42*a^2*b^13*x^(25/2))/5","B"
2170,1,167,202,0.161295,"\text{Not used}","int(x^4*(a + b*x^(1/2))^15,x)","\frac{a^{15}\,x^5}{5}+\frac{2\,b^{15}\,x^{25/2}}{25}+\frac{5\,a\,b^{14}\,x^{12}}{4}+\frac{30\,a^{14}\,b\,x^{11/2}}{11}+\frac{35\,a^{13}\,b^2\,x^6}{2}+195\,a^{11}\,b^4\,x^7+\frac{5005\,a^9\,b^6\,x^8}{8}+715\,a^7\,b^8\,x^9+\frac{3003\,a^5\,b^{10}\,x^{10}}{10}+\frac{455\,a^3\,b^{12}\,x^{11}}{11}+70\,a^{12}\,b^3\,x^{13/2}+\frac{2002\,a^{10}\,b^5\,x^{15/2}}{5}+\frac{12870\,a^8\,b^7\,x^{17/2}}{17}+\frac{10010\,a^6\,b^9\,x^{19/2}}{19}+130\,a^4\,b^{11}\,x^{21/2}+\frac{210\,a^2\,b^{13}\,x^{23/2}}{23}","Not used",1,"(a^15*x^5)/5 + (2*b^15*x^(25/2))/25 + (5*a*b^14*x^12)/4 + (30*a^14*b*x^(11/2))/11 + (35*a^13*b^2*x^6)/2 + 195*a^11*b^4*x^7 + (5005*a^9*b^6*x^8)/8 + 715*a^7*b^8*x^9 + (3003*a^5*b^10*x^10)/10 + (455*a^3*b^12*x^11)/11 + 70*a^12*b^3*x^(13/2) + (2002*a^10*b^5*x^(15/2))/5 + (12870*a^8*b^7*x^(17/2))/17 + (10010*a^6*b^9*x^(19/2))/19 + 130*a^4*b^11*x^(21/2) + (210*a^2*b^13*x^(23/2))/23","B"
2171,1,167,162,0.159239,"\text{Not used}","int(x^3*(a + b*x^(1/2))^15,x)","\frac{a^{15}\,x^4}{4}+\frac{2\,b^{15}\,x^{23/2}}{23}+\frac{15\,a\,b^{14}\,x^{11}}{11}+\frac{10\,a^{14}\,b\,x^{9/2}}{3}+21\,a^{13}\,b^2\,x^5+\frac{455\,a^{11}\,b^4\,x^6}{2}+715\,a^9\,b^6\,x^7+\frac{6435\,a^7\,b^8\,x^8}{8}+\frac{1001\,a^5\,b^{10}\,x^9}{3}+\frac{91\,a^3\,b^{12}\,x^{10}}{2}+\frac{910\,a^{12}\,b^3\,x^{11/2}}{11}+462\,a^{10}\,b^5\,x^{13/2}+858\,a^8\,b^7\,x^{15/2}+\frac{10010\,a^6\,b^9\,x^{17/2}}{17}+\frac{2730\,a^4\,b^{11}\,x^{19/2}}{19}+10\,a^2\,b^{13}\,x^{21/2}","Not used",1,"(a^15*x^4)/4 + (2*b^15*x^(23/2))/23 + (15*a*b^14*x^11)/11 + (10*a^14*b*x^(9/2))/3 + 21*a^13*b^2*x^5 + (455*a^11*b^4*x^6)/2 + 715*a^9*b^6*x^7 + (6435*a^7*b^8*x^8)/8 + (1001*a^5*b^10*x^9)/3 + (91*a^3*b^12*x^10)/2 + (910*a^12*b^3*x^(11/2))/11 + 462*a^10*b^5*x^(13/2) + 858*a^8*b^7*x^(15/2) + (10010*a^6*b^9*x^(17/2))/17 + (2730*a^4*b^11*x^(19/2))/19 + 10*a^2*b^13*x^(21/2)","B"
2172,1,167,122,0.154021,"\text{Not used}","int(x^2*(a + b*x^(1/2))^15,x)","\frac{a^{15}\,x^3}{3}+\frac{2\,b^{15}\,x^{21/2}}{21}+\frac{30\,a^{14}\,b\,x^{7/2}}{7}+\frac{3\,a\,b^{14}\,x^{10}}{2}+\frac{105\,a^{13}\,b^2\,x^4}{4}+273\,a^{11}\,b^4\,x^5+\frac{5005\,a^9\,b^6\,x^6}{6}+\frac{6435\,a^7\,b^8\,x^7}{7}+\frac{3003\,a^5\,b^{10}\,x^8}{8}+\frac{455\,a^3\,b^{12}\,x^9}{9}+\frac{910\,a^{12}\,b^3\,x^{9/2}}{9}+546\,a^{10}\,b^5\,x^{11/2}+990\,a^8\,b^7\,x^{13/2}+\frac{2002\,a^6\,b^9\,x^{15/2}}{3}+\frac{2730\,a^4\,b^{11}\,x^{17/2}}{17}+\frac{210\,a^2\,b^{13}\,x^{19/2}}{19}","Not used",1,"(a^15*x^3)/3 + (2*b^15*x^(21/2))/21 + (30*a^14*b*x^(7/2))/7 + (3*a*b^14*x^10)/2 + (105*a^13*b^2*x^4)/4 + 273*a^11*b^4*x^5 + (5005*a^9*b^6*x^6)/6 + (6435*a^7*b^8*x^7)/7 + (3003*a^5*b^10*x^8)/8 + (455*a^3*b^12*x^9)/9 + (910*a^12*b^3*x^(9/2))/9 + 546*a^10*b^5*x^(11/2) + 990*a^8*b^7*x^(13/2) + (2002*a^6*b^9*x^(15/2))/3 + (2730*a^4*b^11*x^(17/2))/17 + (210*a^2*b^13*x^(19/2))/19","B"
2173,1,167,80,0.161961,"\text{Not used}","int(x*(a + b*x^(1/2))^15,x)","\frac{a^{15}\,x^2}{2}+\frac{2\,b^{15}\,x^{19/2}}{19}+6\,a^{14}\,b\,x^{5/2}+\frac{5\,a\,b^{14}\,x^9}{3}+35\,a^{13}\,b^2\,x^3+\frac{1365\,a^{11}\,b^4\,x^4}{4}+1001\,a^9\,b^6\,x^5+\frac{2145\,a^7\,b^8\,x^6}{2}+429\,a^5\,b^{10}\,x^7+\frac{455\,a^3\,b^{12}\,x^8}{8}+130\,a^{12}\,b^3\,x^{7/2}+\frac{2002\,a^{10}\,b^5\,x^{9/2}}{3}+1170\,a^8\,b^7\,x^{11/2}+770\,a^6\,b^9\,x^{13/2}+182\,a^4\,b^{11}\,x^{15/2}+\frac{210\,a^2\,b^{13}\,x^{17/2}}{17}","Not used",1,"(a^15*x^2)/2 + (2*b^15*x^(19/2))/19 + 6*a^14*b*x^(5/2) + (5*a*b^14*x^9)/3 + 35*a^13*b^2*x^3 + (1365*a^11*b^4*x^4)/4 + 1001*a^9*b^6*x^5 + (2145*a^7*b^8*x^6)/2 + 429*a^5*b^10*x^7 + (455*a^3*b^12*x^8)/8 + 130*a^12*b^3*x^(7/2) + (2002*a^10*b^5*x^(9/2))/3 + 1170*a^8*b^7*x^(11/2) + 770*a^6*b^9*x^(13/2) + 182*a^4*b^11*x^(15/2) + (210*a^2*b^13*x^(17/2))/17","B"
2174,1,164,38,0.161790,"\text{Not used}","int((a + b*x^(1/2))^15,x)","a^{15}\,x+\frac{2\,b^{15}\,x^{17/2}}{17}+10\,a^{14}\,b\,x^{3/2}+\frac{15\,a\,b^{14}\,x^8}{8}+\frac{105\,a^{13}\,b^2\,x^2}{2}+455\,a^{11}\,b^4\,x^3+\frac{5005\,a^9\,b^6\,x^4}{4}+1287\,a^7\,b^8\,x^5+\frac{1001\,a^5\,b^{10}\,x^6}{2}+65\,a^3\,b^{12}\,x^7+182\,a^{12}\,b^3\,x^{5/2}+858\,a^{10}\,b^5\,x^{7/2}+1430\,a^8\,b^7\,x^{9/2}+910\,a^6\,b^9\,x^{11/2}+210\,a^4\,b^{11}\,x^{13/2}+14\,a^2\,b^{13}\,x^{15/2}","Not used",1,"a^15*x + (2*b^15*x^(17/2))/17 + 10*a^14*b*x^(3/2) + (15*a*b^14*x^8)/8 + (105*a^13*b^2*x^2)/2 + 455*a^11*b^4*x^3 + (5005*a^9*b^6*x^4)/4 + 1287*a^7*b^8*x^5 + (1001*a^5*b^10*x^6)/2 + 65*a^3*b^12*x^7 + 182*a^12*b^3*x^(5/2) + 858*a^10*b^5*x^(7/2) + 1430*a^8*b^7*x^(9/2) + 910*a^6*b^9*x^(11/2) + 210*a^4*b^11*x^(13/2) + 14*a^2*b^13*x^(15/2)","B"
2175,1,166,205,0.163931,"\text{Not used}","int((a + b*x^(1/2))^15/x,x)","2\,a^{15}\,\ln\left(\sqrt{x}\right)+\frac{2\,b^{15}\,x^{15/2}}{15}+105\,a^{13}\,b^2\,x+30\,a^{14}\,b\,\sqrt{x}+\frac{15\,a\,b^{14}\,x^7}{7}+\frac{1365\,a^{11}\,b^4\,x^2}{2}+\frac{5005\,a^9\,b^6\,x^3}{3}+\frac{6435\,a^7\,b^8\,x^4}{4}+\frac{3003\,a^5\,b^{10}\,x^5}{5}+\frac{910\,a^{12}\,b^3\,x^{3/2}}{3}+\frac{455\,a^3\,b^{12}\,x^6}{6}+\frac{6006\,a^{10}\,b^5\,x^{5/2}}{5}+\frac{12870\,a^8\,b^7\,x^{7/2}}{7}+\frac{10010\,a^6\,b^9\,x^{9/2}}{9}+\frac{2730\,a^4\,b^{11}\,x^{11/2}}{11}+\frac{210\,a^2\,b^{13}\,x^{13/2}}{13}","Not used",1,"2*a^15*log(x^(1/2)) + (2*b^15*x^(15/2))/15 + 105*a^13*b^2*x + 30*a^14*b*x^(1/2) + (15*a*b^14*x^7)/7 + (1365*a^11*b^4*x^2)/2 + (5005*a^9*b^6*x^3)/3 + (6435*a^7*b^8*x^4)/4 + (3003*a^5*b^10*x^5)/5 + (910*a^12*b^3*x^(3/2))/3 + (455*a^3*b^12*x^6)/6 + (6006*a^10*b^5*x^(5/2))/5 + (12870*a^8*b^7*x^(7/2))/7 + (10010*a^6*b^9*x^(9/2))/9 + (2730*a^4*b^11*x^(11/2))/11 + (210*a^2*b^13*x^(13/2))/13","B"
2176,1,167,192,0.141926,"\text{Not used}","int((a + b*x^(1/2))^15/x^2,x)","\frac{2\,b^{15}\,x^{13/2}}{13}-\frac{a^{15}+30\,a^{14}\,b\,\sqrt{x}}{x}+210\,a^{13}\,b^2\,\ln\left(\sqrt{x}\right)+1365\,a^{11}\,b^4\,x+\frac{5\,a\,b^{14}\,x^6}{2}+\frac{5005\,a^9\,b^6\,x^2}{2}+2145\,a^7\,b^8\,x^3+910\,a^{12}\,b^3\,\sqrt{x}+\frac{3003\,a^5\,b^{10}\,x^4}{4}+91\,a^3\,b^{12}\,x^5+2002\,a^{10}\,b^5\,x^{3/2}+2574\,a^8\,b^7\,x^{5/2}+1430\,a^6\,b^9\,x^{7/2}+\frac{910\,a^4\,b^{11}\,x^{9/2}}{3}+\frac{210\,a^2\,b^{13}\,x^{11/2}}{11}","Not used",1,"(2*b^15*x^(13/2))/13 - (a^15 + 30*a^14*b*x^(1/2))/x + 210*a^13*b^2*log(x^(1/2)) + 1365*a^11*b^4*x + (5*a*b^14*x^6)/2 + (5005*a^9*b^6*x^2)/2 + 2145*a^7*b^8*x^3 + 910*a^12*b^3*x^(1/2) + (3003*a^5*b^10*x^4)/4 + 91*a^3*b^12*x^5 + 2002*a^10*b^5*x^(3/2) + 2574*a^8*b^7*x^(5/2) + 1430*a^6*b^9*x^(7/2) + (910*a^4*b^11*x^(9/2))/3 + (210*a^2*b^13*x^(11/2))/11","B"
2177,1,167,190,0.103623,"\text{Not used}","int((a + b*x^(1/2))^15/x^3,x)","\frac{2\,b^{15}\,x^{11/2}}{11}-\frac{\frac{a^{15}}{2}+105\,a^{13}\,b^2\,x+10\,a^{14}\,b\,\sqrt{x}+910\,a^{12}\,b^3\,x^{3/2}}{x^2}+2730\,a^{11}\,b^4\,\ln\left(\sqrt{x}\right)+5005\,a^9\,b^6\,x+3\,a\,b^{14}\,x^5+\frac{6435\,a^7\,b^8\,x^2}{2}+1001\,a^5\,b^{10}\,x^3+6006\,a^{10}\,b^5\,\sqrt{x}+\frac{455\,a^3\,b^{12}\,x^4}{4}+4290\,a^8\,b^7\,x^{3/2}+2002\,a^6\,b^9\,x^{5/2}+390\,a^4\,b^{11}\,x^{7/2}+\frac{70\,a^2\,b^{13}\,x^{9/2}}{3}","Not used",1,"(2*b^15*x^(11/2))/11 - (a^15/2 + 105*a^13*b^2*x + 10*a^14*b*x^(1/2) + 910*a^12*b^3*x^(3/2))/x^2 + 2730*a^11*b^4*log(x^(1/2)) + 5005*a^9*b^6*x + 3*a*b^14*x^5 + (6435*a^7*b^8*x^2)/2 + 1001*a^5*b^10*x^3 + 6006*a^10*b^5*x^(1/2) + (455*a^3*b^12*x^4)/4 + 4290*a^8*b^7*x^(3/2) + 2002*a^6*b^9*x^(5/2) + 390*a^4*b^11*x^(7/2) + (70*a^2*b^13*x^(9/2))/3","B"
2178,1,167,196,1.158188,"\text{Not used}","int((a + b*x^(1/2))^15/x^4,x)","\frac{2\,b^{15}\,x^{9/2}}{9}-\frac{\frac{a^{15}}{3}+\frac{105\,a^{13}\,b^2\,x}{2}+6\,a^{14}\,b\,\sqrt{x}+1365\,a^{11}\,b^4\,x^2+\frac{910\,a^{12}\,b^3\,x^{3/2}}{3}+6006\,a^{10}\,b^5\,x^{5/2}}{x^3}+10010\,a^9\,b^6\,\ln\left(\sqrt{x}\right)+6435\,a^7\,b^8\,x+\frac{15\,a\,b^{14}\,x^4}{4}+\frac{3003\,a^5\,b^{10}\,x^2}{2}+\frac{455\,a^3\,b^{12}\,x^3}{3}+12870\,a^8\,b^7\,\sqrt{x}+\frac{10010\,a^6\,b^9\,x^{3/2}}{3}+546\,a^4\,b^{11}\,x^{5/2}+30\,a^2\,b^{13}\,x^{7/2}","Not used",1,"(2*b^15*x^(9/2))/9 - (a^15/3 + (105*a^13*b^2*x)/2 + 6*a^14*b*x^(1/2) + 1365*a^11*b^4*x^2 + (910*a^12*b^3*x^(3/2))/3 + 6006*a^10*b^5*x^(5/2))/x^3 + 10010*a^9*b^6*log(x^(1/2)) + 6435*a^7*b^8*x + (15*a*b^14*x^4)/4 + (3003*a^5*b^10*x^2)/2 + (455*a^3*b^12*x^3)/3 + 12870*a^8*b^7*x^(1/2) + (10010*a^6*b^9*x^(3/2))/3 + 546*a^4*b^11*x^(5/2) + 30*a^2*b^13*x^(7/2)","B"
2179,1,167,194,1.116104,"\text{Not used}","int((a + b*x^(1/2))^15/x^6,x)","\frac{2\,b^{15}\,x^{5/2}}{5}-\frac{\frac{a^{15}}{5}+\frac{105\,a^{13}\,b^2\,x}{4}+\frac{10\,a^{14}\,b\,\sqrt{x}}{3}+455\,a^{11}\,b^4\,x^2+\frac{5005\,a^9\,b^6\,x^3}{2}+6435\,a^7\,b^8\,x^4+130\,a^{12}\,b^3\,x^{3/2}+\frac{6006\,a^{10}\,b^5\,x^{5/2}}{5}+4290\,a^8\,b^7\,x^{7/2}+10010\,a^6\,b^9\,x^{9/2}}{x^5}+6006\,a^5\,b^{10}\,\ln\left(\sqrt{x}\right)+455\,a^3\,b^{12}\,x+\frac{15\,a\,b^{14}\,x^2}{2}+2730\,a^4\,b^{11}\,\sqrt{x}+70\,a^2\,b^{13}\,x^{3/2}","Not used",1,"(2*b^15*x^(5/2))/5 - (a^15/5 + (105*a^13*b^2*x)/4 + (10*a^14*b*x^(1/2))/3 + 455*a^11*b^4*x^2 + (5005*a^9*b^6*x^3)/2 + 6435*a^7*b^8*x^4 + 130*a^12*b^3*x^(3/2) + (6006*a^10*b^5*x^(5/2))/5 + 4290*a^8*b^7*x^(7/2) + 10010*a^6*b^9*x^(9/2))/x^5 + 6006*a^5*b^10*log(x^(1/2)) + 455*a^3*b^12*x + (15*a*b^14*x^2)/2 + 2730*a^4*b^11*x^(1/2) + 70*a^2*b^13*x^(3/2)","B"
2180,1,167,196,1.118012,"\text{Not used}","int((a + b*x^(1/2))^15/x^7,x)","\frac{2\,b^{15}\,x^{3/2}}{3}-\frac{\frac{a^{15}}{6}+21\,a^{13}\,b^2\,x+\frac{30\,a^{14}\,b\,\sqrt{x}}{11}+\frac{1365\,a^{11}\,b^4\,x^2}{4}+\frac{5005\,a^9\,b^6\,x^3}{3}+\frac{6435\,a^7\,b^8\,x^4}{2}+3003\,a^5\,b^{10}\,x^5+\frac{910\,a^{12}\,b^3\,x^{3/2}}{9}+858\,a^{10}\,b^5\,x^{5/2}+2574\,a^8\,b^7\,x^{7/2}+\frac{10010\,a^6\,b^9\,x^{9/2}}{3}+2730\,a^4\,b^{11}\,x^{11/2}}{x^6}+910\,a^3\,b^{12}\,\ln\left(\sqrt{x}\right)+210\,a^2\,b^{13}\,\sqrt{x}+15\,a\,b^{14}\,x","Not used",1,"(2*b^15*x^(3/2))/3 - (a^15/6 + 21*a^13*b^2*x + (30*a^14*b*x^(1/2))/11 + (1365*a^11*b^4*x^2)/4 + (5005*a^9*b^6*x^3)/3 + (6435*a^7*b^8*x^4)/2 + 3003*a^5*b^10*x^5 + (910*a^12*b^3*x^(3/2))/9 + 858*a^10*b^5*x^(5/2) + 2574*a^8*b^7*x^(7/2) + (10010*a^6*b^9*x^(9/2))/3 + 2730*a^4*b^11*x^(11/2))/x^6 + 910*a^3*b^12*log(x^(1/2)) + 210*a^2*b^13*x^(1/2) + 15*a*b^14*x","B"
2181,1,168,198,1.269734,"\text{Not used}","int((a + b*x^(1/2))^15/x^8,x)","2\,b^{15}\,\sqrt{x}-\frac{a^{15}}{7\,x^7}-\frac{30\,a^{14}\,b}{13\,x^{13/2}}-\frac{455\,a^3\,b^{12}}{x}-\frac{3003\,a^5\,b^{10}}{2\,x^2}-\frac{210\,a^2\,b^{13}}{\sqrt{x}}-\frac{2145\,a^7\,b^8}{x^3}-\frac{5005\,a^9\,b^6}{4\,x^4}-\frac{910\,a^4\,b^{11}}{x^{3/2}}-\frac{273\,a^{11}\,b^4}{x^5}-\frac{35\,a^{13}\,b^2}{2\,x^6}-\frac{2002\,a^6\,b^9}{x^{5/2}}-\frac{12870\,a^8\,b^7}{7\,x^{7/2}}-\frac{2002\,a^{10}\,b^5}{3\,x^{9/2}}-\frac{910\,a^{12}\,b^3}{11\,x^{11/2}}+30\,a\,b^{14}\,\ln\left(\sqrt{x}\right)","Not used",1,"2*b^15*x^(1/2) - a^15/(7*x^7) - (30*a^14*b)/(13*x^(13/2)) - (455*a^3*b^12)/x - (3003*a^5*b^10)/(2*x^2) - (210*a^2*b^13)/x^(1/2) - (2145*a^7*b^8)/x^3 - (5005*a^9*b^6)/(4*x^4) - (910*a^4*b^11)/x^(3/2) - (273*a^11*b^4)/x^5 - (35*a^13*b^2)/(2*x^6) - (2002*a^6*b^9)/x^(5/2) - (12870*a^8*b^7)/(7*x^(7/2)) - (2002*a^10*b^5)/(3*x^(9/2)) - (910*a^12*b^3)/(11*x^(11/2)) + 30*a*b^14*log(x^(1/2))","B"
2182,1,167,21,0.198671,"\text{Not used}","int((a + b*x^(1/2))^15/x^9,x)","-\frac{\frac{a^{15}}{8}+2\,b^{15}\,x^{15/2}+15\,a^{13}\,b^2\,x+2\,a^{14}\,b\,\sqrt{x}+15\,a\,b^{14}\,x^7+\frac{455\,a^{11}\,b^4\,x^2}{2}+1001\,a^9\,b^6\,x^3+\frac{6435\,a^7\,b^8\,x^4}{4}+1001\,a^5\,b^{10}\,x^5+70\,a^{12}\,b^3\,x^{3/2}+\frac{455\,a^3\,b^{12}\,x^6}{2}+546\,a^{10}\,b^5\,x^{5/2}+1430\,a^8\,b^7\,x^{7/2}+1430\,a^6\,b^9\,x^{9/2}+546\,a^4\,b^{11}\,x^{11/2}+70\,a^2\,b^{13}\,x^{13/2}}{x^8}","Not used",1,"-(a^15/8 + 2*b^15*x^(15/2) + 15*a^13*b^2*x + 2*a^14*b*x^(1/2) + 15*a*b^14*x^7 + (455*a^11*b^4*x^2)/2 + 1001*a^9*b^6*x^3 + (6435*a^7*b^8*x^4)/4 + 1001*a^5*b^10*x^5 + 70*a^12*b^3*x^(3/2) + (455*a^3*b^12*x^6)/2 + 546*a^10*b^5*x^(5/2) + 1430*a^8*b^7*x^(7/2) + 1430*a^6*b^9*x^(9/2) + 546*a^4*b^11*x^(11/2) + 70*a^2*b^13*x^(13/2))/x^8","B"
2183,1,167,70,1.236010,"\text{Not used}","int((a + b*x^(1/2))^15/x^10,x)","-\frac{\frac{a^{15}}{9}+\frac{2\,b^{15}\,x^{15/2}}{3}+\frac{105\,a^{13}\,b^2\,x}{8}+\frac{30\,a^{14}\,b\,\sqrt{x}}{17}+\frac{15\,a\,b^{14}\,x^7}{2}+195\,a^{11}\,b^4\,x^2+\frac{5005\,a^9\,b^6\,x^3}{6}+1287\,a^7\,b^8\,x^4+\frac{3003\,a^5\,b^{10}\,x^5}{4}+\frac{182\,a^{12}\,b^3\,x^{3/2}}{3}+\frac{455\,a^3\,b^{12}\,x^6}{3}+462\,a^{10}\,b^5\,x^{5/2}+1170\,a^8\,b^7\,x^{7/2}+\frac{10010\,a^6\,b^9\,x^{9/2}}{9}+390\,a^4\,b^{11}\,x^{11/2}+42\,a^2\,b^{13}\,x^{13/2}}{x^9}","Not used",1,"-(a^15/9 + (2*b^15*x^(15/2))/3 + (105*a^13*b^2*x)/8 + (30*a^14*b*x^(1/2))/17 + (15*a*b^14*x^7)/2 + 195*a^11*b^4*x^2 + (5005*a^9*b^6*x^3)/6 + 1287*a^7*b^8*x^4 + (3003*a^5*b^10*x^5)/4 + (182*a^12*b^3*x^(3/2))/3 + (455*a^3*b^12*x^6)/3 + 462*a^10*b^5*x^(5/2) + 1170*a^8*b^7*x^(7/2) + (10010*a^6*b^9*x^(9/2))/9 + 390*a^4*b^11*x^(11/2) + 42*a^2*b^13*x^(13/2))/x^9","B"
2184,1,167,120,0.188884,"\text{Not used}","int((a + b*x^(1/2))^15/x^11,x)","-\frac{\frac{a^{15}}{10}+\frac{2\,b^{15}\,x^{15/2}}{5}+\frac{35\,a^{13}\,b^2\,x}{3}+\frac{30\,a^{14}\,b\,\sqrt{x}}{19}+5\,a\,b^{14}\,x^7+\frac{1365\,a^{11}\,b^4\,x^2}{8}+715\,a^9\,b^6\,x^3+\frac{2145\,a^7\,b^8\,x^4}{2}+\frac{3003\,a^5\,b^{10}\,x^5}{5}+\frac{910\,a^{12}\,b^3\,x^{3/2}}{17}+\frac{455\,a^3\,b^{12}\,x^6}{4}+\frac{2002\,a^{10}\,b^5\,x^{5/2}}{5}+990\,a^8\,b^7\,x^{7/2}+910\,a^6\,b^9\,x^{9/2}+\frac{910\,a^4\,b^{11}\,x^{11/2}}{3}+30\,a^2\,b^{13}\,x^{13/2}}{x^{10}}","Not used",1,"-(a^15/10 + (2*b^15*x^(15/2))/5 + (35*a^13*b^2*x)/3 + (30*a^14*b*x^(1/2))/19 + 5*a*b^14*x^7 + (1365*a^11*b^4*x^2)/8 + 715*a^9*b^6*x^3 + (2145*a^7*b^8*x^4)/2 + (3003*a^5*b^10*x^5)/5 + (910*a^12*b^3*x^(3/2))/17 + (455*a^3*b^12*x^6)/4 + (2002*a^10*b^5*x^(5/2))/5 + 990*a^8*b^7*x^(7/2) + 910*a^6*b^9*x^(9/2) + (910*a^4*b^11*x^(11/2))/3 + 30*a^2*b^13*x^(13/2))/x^10","B"
2185,1,167,170,1.265059,"\text{Not used}","int((a + b*x^(1/2))^15/x^12,x)","-\frac{\frac{a^{15}}{11}+\frac{2\,b^{15}\,x^{15/2}}{7}+\frac{21\,a^{13}\,b^2\,x}{2}+\frac{10\,a^{14}\,b\,\sqrt{x}}{7}+\frac{15\,a\,b^{14}\,x^7}{4}+\frac{455\,a^{11}\,b^4\,x^2}{3}+\frac{5005\,a^9\,b^6\,x^3}{8}+\frac{6435\,a^7\,b^8\,x^4}{7}+\frac{1001\,a^5\,b^{10}\,x^5}{2}+\frac{910\,a^{12}\,b^3\,x^{3/2}}{19}+91\,a^3\,b^{12}\,x^6+\frac{6006\,a^{10}\,b^5\,x^{5/2}}{17}+858\,a^8\,b^7\,x^{7/2}+770\,a^6\,b^9\,x^{9/2}+\frac{2730\,a^4\,b^{11}\,x^{11/2}}{11}+\frac{70\,a^2\,b^{13}\,x^{13/2}}{3}}{x^{11}}","Not used",1,"-(a^15/11 + (2*b^15*x^(15/2))/7 + (21*a^13*b^2*x)/2 + (10*a^14*b*x^(1/2))/7 + (15*a*b^14*x^7)/4 + (455*a^11*b^4*x^2)/3 + (5005*a^9*b^6*x^3)/8 + (6435*a^7*b^8*x^4)/7 + (1001*a^5*b^10*x^5)/2 + (910*a^12*b^3*x^(3/2))/19 + 91*a^3*b^12*x^6 + (6006*a^10*b^5*x^(5/2))/17 + 858*a^8*b^7*x^(7/2) + 770*a^6*b^9*x^(9/2) + (2730*a^4*b^11*x^(11/2))/11 + (70*a^2*b^13*x^(13/2))/3)/x^11","B"
2186,1,167,220,1.269236,"\text{Not used}","int((a + b*x^(1/2))^15/x^13,x)","-\frac{\frac{a^{15}}{12}+\frac{2\,b^{15}\,x^{15/2}}{9}+\frac{105\,a^{13}\,b^2\,x}{11}+\frac{30\,a^{14}\,b\,\sqrt{x}}{23}+3\,a\,b^{14}\,x^7+\frac{273\,a^{11}\,b^4\,x^2}{2}+\frac{5005\,a^9\,b^6\,x^3}{9}+\frac{6435\,a^7\,b^8\,x^4}{8}+429\,a^5\,b^{10}\,x^5+\frac{130\,a^{12}\,b^3\,x^{3/2}}{3}+\frac{455\,a^3\,b^{12}\,x^6}{6}+\frac{6006\,a^{10}\,b^5\,x^{5/2}}{19}+\frac{12870\,a^8\,b^7\,x^{7/2}}{17}+\frac{2002\,a^6\,b^9\,x^{9/2}}{3}+210\,a^4\,b^{11}\,x^{11/2}+\frac{210\,a^2\,b^{13}\,x^{13/2}}{11}}{x^{12}}","Not used",1,"-(a^15/12 + (2*b^15*x^(15/2))/9 + (105*a^13*b^2*x)/11 + (30*a^14*b*x^(1/2))/23 + 3*a*b^14*x^7 + (273*a^11*b^4*x^2)/2 + (5005*a^9*b^6*x^3)/9 + (6435*a^7*b^8*x^4)/8 + 429*a^5*b^10*x^5 + (130*a^12*b^3*x^(3/2))/3 + (455*a^3*b^12*x^6)/6 + (6006*a^10*b^5*x^(5/2))/19 + (12870*a^8*b^7*x^(7/2))/17 + (2002*a^6*b^9*x^(9/2))/3 + 210*a^4*b^11*x^(11/2) + (210*a^2*b^13*x^(13/2))/11)/x^12","B"
2187,1,167,270,1.273301,"\text{Not used}","int((a + b*x^(1/2))^15/x^14,x)","-\frac{\frac{a^{15}}{13}+\frac{2\,b^{15}\,x^{15/2}}{11}+\frac{35\,a^{13}\,b^2\,x}{4}+\frac{6\,a^{14}\,b\,\sqrt{x}}{5}+\frac{5\,a\,b^{14}\,x^7}{2}+\frac{1365\,a^{11}\,b^4\,x^2}{11}+\frac{1001\,a^9\,b^6\,x^3}{2}+715\,a^7\,b^8\,x^4+\frac{3003\,a^5\,b^{10}\,x^5}{8}+\frac{910\,a^{12}\,b^3\,x^{3/2}}{23}+65\,a^3\,b^{12}\,x^6+286\,a^{10}\,b^5\,x^{5/2}+\frac{12870\,a^8\,b^7\,x^{7/2}}{19}+\frac{10010\,a^6\,b^9\,x^{9/2}}{17}+182\,a^4\,b^{11}\,x^{11/2}+\frac{210\,a^2\,b^{13}\,x^{13/2}}{13}}{x^{13}}","Not used",1,"-(a^15/13 + (2*b^15*x^(15/2))/11 + (35*a^13*b^2*x)/4 + (6*a^14*b*x^(1/2))/5 + (5*a*b^14*x^7)/2 + (1365*a^11*b^4*x^2)/11 + (1001*a^9*b^6*x^3)/2 + 715*a^7*b^8*x^4 + (3003*a^5*b^10*x^5)/8 + (910*a^12*b^3*x^(3/2))/23 + 65*a^3*b^12*x^6 + 286*a^10*b^5*x^(5/2) + (12870*a^8*b^7*x^(7/2))/19 + (10010*a^6*b^9*x^(9/2))/17 + 182*a^4*b^11*x^(11/2) + (210*a^2*b^13*x^(13/2))/13)/x^13","B"
2188,1,167,211,0.197223,"\text{Not used}","int((a + b*x^(1/2))^15/x^15,x)","-\frac{\frac{a^{15}}{14}+\frac{2\,b^{15}\,x^{15/2}}{13}+\frac{105\,a^{13}\,b^2\,x}{13}+\frac{10\,a^{14}\,b\,\sqrt{x}}{9}+\frac{15\,a\,b^{14}\,x^7}{7}+\frac{455\,a^{11}\,b^4\,x^2}{4}+455\,a^9\,b^6\,x^3+\frac{1287\,a^7\,b^8\,x^4}{2}+\frac{1001\,a^5\,b^{10}\,x^5}{3}+\frac{182\,a^{12}\,b^3\,x^{3/2}}{5}+\frac{455\,a^3\,b^{12}\,x^6}{8}+\frac{6006\,a^{10}\,b^5\,x^{5/2}}{23}+\frac{4290\,a^8\,b^7\,x^{7/2}}{7}+\frac{10010\,a^6\,b^9\,x^{9/2}}{19}+\frac{2730\,a^4\,b^{11}\,x^{11/2}}{17}+14\,a^2\,b^{13}\,x^{13/2}}{x^{14}}","Not used",1,"-(a^15/14 + (2*b^15*x^(15/2))/13 + (105*a^13*b^2*x)/13 + (10*a^14*b*x^(1/2))/9 + (15*a*b^14*x^7)/7 + (455*a^11*b^4*x^2)/4 + 455*a^9*b^6*x^3 + (1287*a^7*b^8*x^4)/2 + (1001*a^5*b^10*x^5)/3 + (182*a^12*b^3*x^(3/2))/5 + (455*a^3*b^12*x^6)/8 + (6006*a^10*b^5*x^(5/2))/23 + (4290*a^8*b^7*x^(7/2))/7 + (10010*a^6*b^9*x^(9/2))/19 + (2730*a^4*b^11*x^(11/2))/17 + 14*a^2*b^13*x^(13/2))/x^14","B"
2189,1,167,211,1.247405,"\text{Not used}","int((a + b*x^(1/2))^15/x^16,x)","-\frac{\frac{a^{15}}{15}+\frac{2\,b^{15}\,x^{15/2}}{15}+\frac{15\,a^{13}\,b^2\,x}{2}+\frac{30\,a^{14}\,b\,\sqrt{x}}{29}+\frac{15\,a\,b^{14}\,x^7}{8}+105\,a^{11}\,b^4\,x^2+\frac{5005\,a^9\,b^6\,x^3}{12}+585\,a^7\,b^8\,x^4+\frac{3003\,a^5\,b^{10}\,x^5}{10}+\frac{910\,a^{12}\,b^3\,x^{3/2}}{27}+\frac{455\,a^3\,b^{12}\,x^6}{9}+\frac{6006\,a^{10}\,b^5\,x^{5/2}}{25}+\frac{12870\,a^8\,b^7\,x^{7/2}}{23}+\frac{1430\,a^6\,b^9\,x^{9/2}}{3}+\frac{2730\,a^4\,b^{11}\,x^{11/2}}{19}+\frac{210\,a^2\,b^{13}\,x^{13/2}}{17}}{x^{15}}","Not used",1,"-(a^15/15 + (2*b^15*x^(15/2))/15 + (15*a^13*b^2*x)/2 + (30*a^14*b*x^(1/2))/29 + (15*a*b^14*x^7)/8 + 105*a^11*b^4*x^2 + (5005*a^9*b^6*x^3)/12 + 585*a^7*b^8*x^4 + (3003*a^5*b^10*x^5)/10 + (910*a^12*b^3*x^(3/2))/27 + (455*a^3*b^12*x^6)/9 + (6006*a^10*b^5*x^(5/2))/25 + (12870*a^8*b^7*x^(7/2))/23 + (1430*a^6*b^9*x^(9/2))/3 + (2730*a^4*b^11*x^(11/2))/19 + (210*a^2*b^13*x^(13/2))/17)/x^15","B"
2190,1,167,207,0.197031,"\text{Not used}","int((a + b*x^(1/2))^15/x^17,x)","-\frac{\frac{a^{15}}{16}+\frac{2\,b^{15}\,x^{15/2}}{17}+7\,a^{13}\,b^2\,x+\frac{30\,a^{14}\,b\,\sqrt{x}}{31}+\frac{5\,a\,b^{14}\,x^7}{3}+\frac{195\,a^{11}\,b^4\,x^2}{2}+385\,a^9\,b^6\,x^3+\frac{2145\,a^7\,b^8\,x^4}{4}+273\,a^5\,b^{10}\,x^5+\frac{910\,a^{12}\,b^3\,x^{3/2}}{29}+\frac{91\,a^3\,b^{12}\,x^6}{2}+\frac{2002\,a^{10}\,b^5\,x^{5/2}}{9}+\frac{2574\,a^8\,b^7\,x^{7/2}}{5}+\frac{10010\,a^6\,b^9\,x^{9/2}}{23}+130\,a^4\,b^{11}\,x^{11/2}+\frac{210\,a^2\,b^{13}\,x^{13/2}}{19}}{x^{16}}","Not used",1,"-(a^15/16 + (2*b^15*x^(15/2))/17 + 7*a^13*b^2*x + (30*a^14*b*x^(1/2))/31 + (5*a*b^14*x^7)/3 + (195*a^11*b^4*x^2)/2 + 385*a^9*b^6*x^3 + (2145*a^7*b^8*x^4)/4 + 273*a^5*b^10*x^5 + (910*a^12*b^3*x^(3/2))/29 + (91*a^3*b^12*x^6)/2 + (2002*a^10*b^5*x^(5/2))/9 + (2574*a^8*b^7*x^(7/2))/5 + (10010*a^6*b^9*x^(9/2))/23 + 130*a^4*b^11*x^(11/2) + (210*a^2*b^13*x^(13/2))/19)/x^16","B"
2191,1,87,107,0.037417,"\text{Not used}","int(x^3/(a + b*x^(1/2)),x)","\frac{2\,x^{7/2}}{7\,b}-\frac{a\,x^3}{3\,b^2}-\frac{a^5\,x}{b^6}-\frac{2\,a^7\,\ln\left(a+b\,\sqrt{x}\right)}{b^8}-\frac{a^3\,x^2}{2\,b^4}+\frac{2\,a^2\,x^{5/2}}{5\,b^3}+\frac{2\,a^4\,x^{3/2}}{3\,b^5}+\frac{2\,a^6\,\sqrt{x}}{b^7}","Not used",1,"(2*x^(7/2))/(7*b) - (a*x^3)/(3*b^2) - (a^5*x)/b^6 - (2*a^7*log(a + b*x^(1/2)))/b^8 - (a^3*x^2)/(2*b^4) + (2*a^2*x^(5/2))/(5*b^3) + (2*a^4*x^(3/2))/(3*b^5) + (2*a^6*x^(1/2))/b^7","B"
2192,1,65,79,0.029333,"\text{Not used}","int(x^2/(a + b*x^(1/2)),x)","\frac{2\,x^{5/2}}{5\,b}-\frac{a\,x^2}{2\,b^2}-\frac{a^3\,x}{b^4}-\frac{2\,a^5\,\ln\left(a+b\,\sqrt{x}\right)}{b^6}+\frac{2\,a^2\,x^{3/2}}{3\,b^3}+\frac{2\,a^4\,\sqrt{x}}{b^5}","Not used",1,"(2*x^(5/2))/(5*b) - (a*x^2)/(2*b^2) - (a^3*x)/b^4 - (2*a^5*log(a + b*x^(1/2)))/b^6 + (2*a^2*x^(3/2))/(3*b^3) + (2*a^4*x^(1/2))/b^5","B"
2193,1,43,51,0.039648,"\text{Not used}","int(x/(a + b*x^(1/2)),x)","\frac{2\,x^{3/2}}{3\,b}-\frac{2\,a^3\,\ln\left(a+b\,\sqrt{x}\right)}{b^4}+\frac{2\,a^2\,\sqrt{x}}{b^3}-\frac{a\,x}{b^2}","Not used",1,"(2*x^(3/2))/(3*b) - (2*a^3*log(a + b*x^(1/2)))/b^4 + (2*a^2*x^(1/2))/b^3 - (a*x)/b^2","B"
2194,1,23,27,0.039483,"\text{Not used}","int(1/(a + b*x^(1/2)),x)","\frac{2\,\sqrt{x}}{b}-\frac{2\,a\,\ln\left(a+b\,\sqrt{x}\right)}{b^2}","Not used",1,"(2*x^(1/2))/b - (2*a*log(a + b*x^(1/2)))/b^2","B"
2195,1,17,22,0.044282,"\text{Not used}","int(1/(x*(a + b*x^(1/2))),x)","-\frac{4\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a}","Not used",1,"-(4*atanh((2*b*x^(1/2))/a + 1))/a","B"
2196,1,39,47,0.062030,"\text{Not used}","int(1/(x^2*(a + b*x^(1/2))),x)","-\frac{\frac{1}{a}-\frac{2\,b\,\sqrt{x}}{a^2}}{x}-\frac{4\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^3}","Not used",1,"- (1/a - (2*b*x^(1/2))/a^2)/x - (4*b^2*atanh((2*b*x^(1/2))/a + 1))/a^3","B"
2197,1,60,75,0.065564,"\text{Not used}","int(1/(x^3*(a + b*x^(1/2))),x)","-\frac{\frac{1}{2\,a}-\frac{2\,b\,\sqrt{x}}{3\,a^2}+\frac{b^2\,x}{a^3}-\frac{2\,b^3\,x^{3/2}}{a^4}}{x^2}-\frac{4\,b^4\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^5}","Not used",1,"- (1/(2*a) - (2*b*x^(1/2))/(3*a^2) + (b^2*x)/a^3 - (2*b^3*x^(3/2))/a^4)/x^2 - (4*b^4*atanh((2*b*x^(1/2))/a + 1))/a^5","B"
2198,1,82,103,1.109822,"\text{Not used}","int(1/(x^4*(a + b*x^(1/2))),x)","-\frac{\frac{1}{3\,a}-\frac{2\,b\,\sqrt{x}}{5\,a^2}+\frac{b^2\,x}{2\,a^3}+\frac{b^4\,x^2}{a^5}-\frac{2\,b^3\,x^{3/2}}{3\,a^4}-\frac{2\,b^5\,x^{5/2}}{a^6}}{x^3}-\frac{4\,b^6\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^7}","Not used",1,"- (1/(3*a) - (2*b*x^(1/2))/(5*a^2) + (b^2*x)/(2*a^3) + (b^4*x^2)/a^5 - (2*b^3*x^(3/2))/(3*a^4) - (2*b^5*x^(5/2))/a^6)/x^3 - (4*b^6*atanh((2*b*x^(1/2))/a + 1))/a^7","B"
2199,1,99,111,1.111446,"\text{Not used}","int(x^3/(a + b*x^(1/2))^2,x)","\frac{x^3}{3\,b^2}+\frac{2\,a^7}{b\,\left(a\,b^7+b^8\,\sqrt{x}\right)}-\frac{4\,a\,x^{5/2}}{5\,b^3}+\frac{5\,a^4\,x}{b^6}+\frac{14\,a^6\,\ln\left(a+b\,\sqrt{x}\right)}{b^8}+\frac{3\,a^2\,x^2}{2\,b^4}-\frac{8\,a^3\,x^{3/2}}{3\,b^5}-\frac{12\,a^5\,\sqrt{x}}{b^7}","Not used",1,"x^3/(3*b^2) + (2*a^7)/(b*(a*b^7 + b^8*x^(1/2))) - (4*a*x^(5/2))/(5*b^3) + (5*a^4*x)/b^6 + (14*a^6*log(a + b*x^(1/2)))/b^8 + (3*a^2*x^2)/(2*b^4) - (8*a^3*x^(3/2))/(3*b^5) - (12*a^5*x^(1/2))/b^7","B"
2200,1,77,83,0.034819,"\text{Not used}","int(x^2/(a + b*x^(1/2))^2,x)","\frac{x^2}{2\,b^2}+\frac{2\,a^5}{b\,\left(a\,b^5+b^6\,\sqrt{x}\right)}+\frac{3\,a^2\,x}{b^4}-\frac{4\,a\,x^{3/2}}{3\,b^3}+\frac{10\,a^4\,\ln\left(a+b\,\sqrt{x}\right)}{b^6}-\frac{8\,a^3\,\sqrt{x}}{b^5}","Not used",1,"x^2/(2*b^2) + (2*a^5)/(b*(a*b^5 + b^6*x^(1/2))) + (3*a^2*x)/b^4 - (4*a*x^(3/2))/(3*b^3) + (10*a^4*log(a + b*x^(1/2)))/b^6 - (8*a^3*x^(1/2))/b^5","B"
2201,1,54,54,0.043765,"\text{Not used}","int(x/(a + b*x^(1/2))^2,x)","\frac{x}{b^2}+\frac{2\,a^3}{b\,\left(a\,b^3+b^4\,\sqrt{x}\right)}-\frac{4\,a\,\sqrt{x}}{b^3}+\frac{6\,a^2\,\ln\left(a+b\,\sqrt{x}\right)}{b^4}","Not used",1,"x/b^2 + (2*a^3)/(b*(a*b^3 + b^4*x^(1/2))) - (4*a*x^(1/2))/b^3 + (6*a^2*log(a + b*x^(1/2)))/b^4","B"
2202,1,29,33,1.090799,"\text{Not used}","int(1/(a + b*x^(1/2))^2,x)","\frac{2\,\ln\left(a+b\,\sqrt{x}\right)}{b^2}+\frac{2\,a}{b^2\,\left(a+b\,\sqrt{x}\right)}","Not used",1,"(2*log(a + b*x^(1/2)))/b^2 + (2*a)/(b^2*(a + b*x^(1/2)))","B"
2203,1,32,38,0.048700,"\text{Not used}","int(1/(x*(a + b*x^(1/2))^2),x)","\frac{2}{a\,\left(a+b\,\sqrt{x}\right)}-\frac{4\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^2}","Not used",1,"2/(a*(a + b*x^(1/2))) - (4*atanh((2*b*x^(1/2))/a + 1))/a^2","B"
2204,1,57,67,1.140161,"\text{Not used}","int(1/(x^2*(a + b*x^(1/2))^2),x)","\frac{\frac{3\,b\,\sqrt{x}}{a^2}-\frac{1}{a}+\frac{6\,b^2\,x}{a^3}}{a\,x+b\,x^{3/2}}-\frac{12\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^4}","Not used",1,"((3*b*x^(1/2))/a^2 - 1/a + (6*b^2*x)/a^3)/(a*x + b*x^(3/2)) - (12*b^2*atanh((2*b*x^(1/2))/a + 1))/a^4","B"
2205,1,81,95,1.171636,"\text{Not used}","int(1/(x^3*(a + b*x^(1/2))^2),x)","\frac{\frac{5\,b\,\sqrt{x}}{6\,a^2}-\frac{1}{2\,a}-\frac{5\,b^2\,x}{3\,a^3}+\frac{10\,b^4\,x^2}{a^5}+\frac{5\,b^3\,x^{3/2}}{a^4}}{a\,x^2+b\,x^{5/2}}-\frac{20\,b^4\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^6}","Not used",1,"((5*b*x^(1/2))/(6*a^2) - 1/(2*a) - (5*b^2*x)/(3*a^3) + (10*b^4*x^2)/a^5 + (5*b^3*x^(3/2))/a^4)/(a*x^2 + b*x^(5/2)) - (20*b^4*atanh((2*b*x^(1/2))/a + 1))/a^6","B"
2206,1,103,123,0.082541,"\text{Not used}","int(1/(x^4*(a + b*x^(1/2))^2),x)","\frac{\frac{7\,b\,\sqrt{x}}{15\,a^2}-\frac{1}{3\,a}-\frac{7\,b^2\,x}{10\,a^3}-\frac{7\,b^4\,x^2}{3\,a^5}+\frac{7\,b^3\,x^{3/2}}{6\,a^4}+\frac{14\,b^6\,x^3}{a^7}+\frac{7\,b^5\,x^{5/2}}{a^6}}{a\,x^3+b\,x^{7/2}}-\frac{28\,b^6\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^8}","Not used",1,"((7*b*x^(1/2))/(15*a^2) - 1/(3*a) - (7*b^2*x)/(10*a^3) - (7*b^4*x^2)/(3*a^5) + (7*b^3*x^(3/2))/(6*a^4) + (14*b^6*x^3)/a^7 + (7*b^5*x^(5/2))/a^6)/(a*x^3 + b*x^(7/2)) - (28*b^6*atanh((2*b*x^(1/2))/a + 1))/a^8","B"
2207,1,108,114,1.128992,"\text{Not used}","int(x^3/(a + b*x^(1/2))^3,x)","\frac{2\,x^{5/2}}{5\,b^3}-\frac{\frac{13\,a^7}{b}+14\,a^6\,\sqrt{x}}{b^9\,x+a^2\,b^7+2\,a\,b^8\,\sqrt{x}}-\frac{3\,a\,x^2}{2\,b^4}-\frac{10\,a^3\,x}{b^6}-\frac{42\,a^5\,\ln\left(a+b\,\sqrt{x}\right)}{b^8}+\frac{4\,a^2\,x^{3/2}}{b^5}+\frac{30\,a^4\,\sqrt{x}}{b^7}","Not used",1,"(2*x^(5/2))/(5*b^3) - ((13*a^7)/b + 14*a^6*x^(1/2))/(b^9*x + a^2*b^7 + 2*a*b^8*x^(1/2)) - (3*a*x^2)/(2*b^4) - (10*a^3*x)/b^6 - (42*a^5*log(a + b*x^(1/2)))/b^8 + (4*a^2*x^(3/2))/b^5 + (30*a^4*x^(1/2))/b^7","B"
2208,1,86,88,0.037837,"\text{Not used}","int(x^2/(a + b*x^(1/2))^3,x)","\frac{2\,x^{3/2}}{3\,b^3}-\frac{\frac{9\,a^5}{b}+10\,a^4\,\sqrt{x}}{b^7\,x+a^2\,b^5+2\,a\,b^6\,\sqrt{x}}-\frac{20\,a^3\,\ln\left(a+b\,\sqrt{x}\right)}{b^6}+\frac{12\,a^2\,\sqrt{x}}{b^5}-\frac{3\,a\,x}{b^4}","Not used",1,"(2*x^(3/2))/(3*b^3) - ((9*a^5)/b + 10*a^4*x^(1/2))/(b^7*x + a^2*b^5 + 2*a*b^6*x^(1/2)) - (20*a^3*log(a + b*x^(1/2)))/b^6 + (12*a^2*x^(1/2))/b^5 - (3*a*x)/b^4","B"
2209,1,66,64,1.148131,"\text{Not used}","int(x/(a + b*x^(1/2))^3,x)","\frac{2\,\sqrt{x}}{b^3}-\frac{\frac{5\,a^3}{b}+6\,a^2\,\sqrt{x}}{b^5\,x+a^2\,b^3+2\,a\,b^4\,\sqrt{x}}-\frac{6\,a\,\ln\left(a+b\,\sqrt{x}\right)}{b^4}","Not used",1,"(2*x^(1/2))/b^3 - ((5*a^3)/b + 6*a^2*x^(1/2))/(b^5*x + a^2*b^3 + 2*a*b^4*x^(1/2)) - (6*a*log(a + b*x^(1/2)))/b^4","B"
2210,1,34,16,1.115766,"\text{Not used}","int(1/(a + b*x^(1/2))^3,x)","-\frac{\frac{a}{b^2}+\frac{2\,\sqrt{x}}{b}}{b^2\,x+a^2+2\,a\,b\,\sqrt{x}}","Not used",1,"-(a/b^2 + (2*x^(1/2))/b)/(b^2*x + a^2 + 2*a*b*x^(1/2))","B"
2211,1,52,53,0.068293,"\text{Not used}","int(1/(x*(a + b*x^(1/2))^3),x)","\frac{\frac{3}{a}+\frac{2\,b\,\sqrt{x}}{a^2}}{b^2\,x+a^2+2\,a\,b\,\sqrt{x}}-\frac{4\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^3}","Not used",1,"(3/a + (2*b*x^(1/2))/a^2)/(b^2*x + a^2 + 2*a*b*x^(1/2)) - (4*atanh((2*b*x^(1/2))/a + 1))/a^3","B"
2212,1,79,85,1.174527,"\text{Not used}","int(1/(x^2*(a + b*x^(1/2))^3),x)","\frac{\frac{4\,b\,\sqrt{x}}{a^2}-\frac{1}{a}+\frac{18\,b^2\,x}{a^3}+\frac{12\,b^3\,x^{3/2}}{a^4}}{a^2\,x+b^2\,x^2+2\,a\,b\,x^{3/2}}-\frac{24\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^5}","Not used",1,"((4*b*x^(1/2))/a^2 - 1/a + (18*b^2*x)/a^3 + (12*b^3*x^(3/2))/a^4)/(a^2*x + b^2*x^2 + 2*a*b*x^(3/2)) - (24*b^2*atanh((2*b*x^(1/2))/a + 1))/a^5","B"
2213,1,102,111,0.107940,"\text{Not used}","int(1/(x^3*(a + b*x^(1/2))^3),x)","\frac{\frac{b\,\sqrt{x}}{a^2}-\frac{1}{2\,a}-\frac{5\,b^2\,x}{2\,a^3}+\frac{45\,b^4\,x^2}{a^5}+\frac{10\,b^3\,x^{3/2}}{a^4}+\frac{30\,b^5\,x^{5/2}}{a^6}}{a^2\,x^2+b^2\,x^3+2\,a\,b\,x^{5/2}}-\frac{60\,b^4\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^7}","Not used",1,"((b*x^(1/2))/a^2 - 1/(2*a) - (5*b^2*x)/(2*a^3) + (45*b^4*x^2)/a^5 + (10*b^3*x^(3/2))/a^4 + (30*b^5*x^(5/2))/a^6)/(a^2*x^2 + b^2*x^3 + 2*a*b*x^(5/2)) - (60*b^4*atanh((2*b*x^(1/2))/a + 1))/a^7","B"
2214,1,125,139,1.215503,"\text{Not used}","int(1/(x^4*(a + b*x^(1/2))^3),x)","\frac{\frac{8\,b\,\sqrt{x}}{15\,a^2}-\frac{1}{3\,a}-\frac{14\,b^2\,x}{15\,a^3}-\frac{14\,b^4\,x^2}{3\,a^5}+\frac{28\,b^3\,x^{3/2}}{15\,a^4}+\frac{84\,b^6\,x^3}{a^7}+\frac{56\,b^5\,x^{5/2}}{3\,a^6}+\frac{56\,b^7\,x^{7/2}}{a^8}}{a^2\,x^3+b^2\,x^4+2\,a\,b\,x^{7/2}}-\frac{112\,b^6\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^9}","Not used",1,"((8*b*x^(1/2))/(15*a^2) - 1/(3*a) - (14*b^2*x)/(15*a^3) - (14*b^4*x^2)/(3*a^5) + (28*b^3*x^(3/2))/(15*a^4) + (84*b^6*x^3)/a^7 + (56*b^5*x^(5/2))/(3*a^6) + (56*b^7*x^(7/2))/a^8)/(a^2*x^3 + b^2*x^4 + 2*a*b*x^(7/2)) - (112*b^6*atanh((2*b*x^(1/2))/a + 1))/a^9","B"
2215,1,148,155,0.057169,"\text{Not used}","int(x^4/(a + b*x^(1/2))^5,x)","\frac{2\,x^{5/2}}{5\,b^5}-\frac{\frac{275\,a^9}{2\,b}+438\,a^8\,\sqrt{x}+168\,a^6\,b^2\,x^{3/2}+468\,a^7\,b\,x}{a^4\,b^9+b^{13}\,x^2+6\,a^2\,b^{11}\,x+4\,a\,b^{12}\,x^{3/2}+4\,a^3\,b^{10}\,\sqrt{x}}-\frac{5\,a\,x^2}{2\,b^6}-\frac{35\,a^3\,x}{b^8}-\frac{252\,a^5\,\ln\left(a+b\,\sqrt{x}\right)}{b^{10}}+\frac{10\,a^2\,x^{3/2}}{b^7}+\frac{140\,a^4\,\sqrt{x}}{b^9}","Not used",1,"(2*x^(5/2))/(5*b^5) - ((275*a^9)/(2*b) + 438*a^8*x^(1/2) + 168*a^6*b^2*x^(3/2) + 468*a^7*b*x)/(a^4*b^9 + b^13*x^2 + 6*a^2*b^11*x + 4*a*b^12*x^(3/2) + 4*a^3*b^10*x^(1/2)) - (5*a*x^2)/(2*b^6) - (35*a^3*x)/b^8 - (252*a^5*log(a + b*x^(1/2)))/b^10 + (10*a^2*x^(3/2))/b^7 + (140*a^4*x^(1/2))/b^9","B"
2216,1,126,131,1.195517,"\text{Not used}","int(x^3/(a + b*x^(1/2))^5,x)","\frac{2\,x^{3/2}}{3\,b^5}-\frac{\frac{319\,a^7}{6\,b}+\frac{518\,a^6\,\sqrt{x}}{3}+70\,a^4\,b^2\,x^{3/2}+189\,a^5\,b\,x}{a^4\,b^7+b^{11}\,x^2+6\,a^2\,b^9\,x+4\,a\,b^{10}\,x^{3/2}+4\,a^3\,b^8\,\sqrt{x}}-\frac{70\,a^3\,\ln\left(a+b\,\sqrt{x}\right)}{b^8}+\frac{30\,a^2\,\sqrt{x}}{b^7}-\frac{5\,a\,x}{b^6}","Not used",1,"(2*x^(3/2))/(3*b^5) - ((319*a^7)/(6*b) + (518*a^6*x^(1/2))/3 + 70*a^4*b^2*x^(3/2) + 189*a^5*b*x)/(a^4*b^7 + b^11*x^2 + 6*a^2*b^9*x + 4*a*b^10*x^(3/2) + 4*a^3*b^8*x^(1/2)) - (70*a^3*log(a + b*x^(1/2)))/b^8 + (30*a^2*x^(1/2))/b^7 - (5*a*x)/b^6","B"
2217,1,106,107,1.171823,"\text{Not used}","int(x^2/(a + b*x^(1/2))^5,x)","\frac{2\,\sqrt{x}}{b^5}-\frac{\frac{77\,a^5}{6\,b}+\frac{130\,a^4\,\sqrt{x}}{3}+20\,a^2\,b^2\,x^{3/2}+50\,a^3\,b\,x}{a^4\,b^5+b^9\,x^2+6\,a^2\,b^7\,x+4\,a\,b^8\,x^{3/2}+4\,a^3\,b^6\,\sqrt{x}}-\frac{10\,a\,\ln\left(a+b\,\sqrt{x}\right)}{b^6}","Not used",1,"(2*x^(1/2))/b^5 - ((77*a^5)/(6*b) + (130*a^4*x^(1/2))/3 + 20*a^2*b^2*x^(3/2) + 50*a^3*b*x)/(a^4*b^5 + b^9*x^2 + 6*a^2*b^7*x + 4*a*b^8*x^(3/2) + 4*a^3*b^6*x^(1/2)) - (10*a*log(a + b*x^(1/2)))/b^6","B"
2218,1,77,21,1.189618,"\text{Not used}","int(x/(a + b*x^(1/2))^5,x)","-\frac{\frac{a^3}{2\,b^4}+\frac{2\,x^{3/2}}{b}+\frac{2\,a^2\,\sqrt{x}}{b^3}+\frac{3\,a\,x}{b^2}}{a^4+b^4\,x^2+6\,a^2\,b^2\,x+4\,a^3\,b\,\sqrt{x}+4\,a\,b^3\,x^{3/2}}","Not used",1,"-(a^3/(2*b^4) + (2*x^(3/2))/b + (2*a^2*x^(1/2))/b^3 + (3*a*x)/b^2)/(a^4 + b^4*x^2 + 6*a^2*b^2*x + 4*a^3*b*x^(1/2) + 4*a*b^3*x^(3/2))","B"
2219,1,57,38,1.201029,"\text{Not used}","int(1/(a + b*x^(1/2))^5,x)","-\frac{\frac{a}{6\,b^2}+\frac{2\,\sqrt{x}}{3\,b}}{a^4+b^4\,x^2+6\,a^2\,b^2\,x+4\,a^3\,b\,\sqrt{x}+4\,a\,b^3\,x^{3/2}}","Not used",1,"-(a/(6*b^2) + (2*x^(1/2))/(3*b))/(a^4 + b^4*x^2 + 6*a^2*b^2*x + 4*a^3*b*x^(1/2) + 4*a*b^3*x^(3/2))","B"
2220,1,94,89,0.079039,"\text{Not used}","int(1/(x*(a + b*x^(1/2))^5),x)","\frac{\frac{25}{6\,a}+\frac{26\,b\,\sqrt{x}}{3\,a^2}+\frac{7\,b^2\,x}{a^3}+\frac{2\,b^3\,x^{3/2}}{a^4}}{a^4+b^4\,x^2+6\,a^2\,b^2\,x+4\,a^3\,b\,\sqrt{x}+4\,a\,b^3\,x^{3/2}}-\frac{4\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^5}","Not used",1,"(25/(6*a) + (26*b*x^(1/2))/(3*a^2) + (7*b^2*x)/a^3 + (2*b^3*x^(3/2))/a^4)/(a^4 + b^4*x^2 + 6*a^2*b^2*x + 4*a^3*b*x^(1/2) + 4*a*b^3*x^(3/2)) - (4*atanh((2*b*x^(1/2))/a + 1))/a^5","B"
2221,1,123,126,0.123545,"\text{Not used}","int(1/(x^2*(a + b*x^(1/2))^5),x)","\frac{\frac{6\,b\,\sqrt{x}}{a^2}-\frac{1}{a}+\frac{125\,b^2\,x}{2\,a^3}+\frac{105\,b^4\,x^2}{a^5}+\frac{130\,b^3\,x^{3/2}}{a^4}+\frac{30\,b^5\,x^{5/2}}{a^6}}{a^4\,x+b^4\,x^3+4\,a^3\,b\,x^{3/2}+4\,a\,b^3\,x^{5/2}+6\,a^2\,b^2\,x^2}-\frac{60\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^7}","Not used",1,"((6*b*x^(1/2))/a^2 - 1/a + (125*b^2*x)/(2*a^3) + (105*b^4*x^2)/a^5 + (130*b^3*x^(3/2))/a^4 + (30*b^5*x^(5/2))/a^6)/(a^4*x + b^4*x^3 + 4*a^3*b*x^(3/2) + 4*a*b^3*x^(5/2) + 6*a^2*b^2*x^2) - (60*b^2*atanh((2*b*x^(1/2))/a + 1))/a^7","B"
2222,1,147,156,1.267596,"\text{Not used}","int(1/(x^3*(a + b*x^(1/2))^5),x)","\frac{\frac{4\,b\,\sqrt{x}}{3\,a^2}-\frac{1}{2\,a}-\frac{14\,b^2\,x}{3\,a^3}+\frac{875\,b^4\,x^2}{3\,a^5}+\frac{28\,b^3\,x^{3/2}}{a^4}+\frac{490\,b^6\,x^3}{a^7}+\frac{1820\,b^5\,x^{5/2}}{3\,a^6}+\frac{140\,b^7\,x^{7/2}}{a^8}}{a^4\,x^2+b^4\,x^4+4\,a^3\,b\,x^{5/2}+4\,a\,b^3\,x^{7/2}+6\,a^2\,b^2\,x^3}-\frac{280\,b^4\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^9}","Not used",1,"((4*b*x^(1/2))/(3*a^2) - 1/(2*a) - (14*b^2*x)/(3*a^3) + (875*b^4*x^2)/(3*a^5) + (28*b^3*x^(3/2))/a^4 + (490*b^6*x^3)/a^7 + (1820*b^5*x^(5/2))/(3*a^6) + (140*b^7*x^(7/2))/a^8)/(a^4*x^2 + b^4*x^4 + 4*a^3*b*x^(5/2) + 4*a*b^3*x^(7/2) + 6*a^2*b^2*x^3) - (280*b^4*atanh((2*b*x^(1/2))/a + 1))/a^9","B"
2223,1,202,203,1.201191,"\text{Not used}","int(x^5/(a + b*x^(1/2))^8,x)","\frac{\frac{25961\,a^{11}}{42\,b}+\frac{23441\,a^{10}\,\sqrt{x}}{6}+11770\,a^7\,b^3\,x^2+924\,a^5\,b^5\,x^3+\frac{29315\,a^8\,b^2\,x^{3/2}}{2}+5082\,a^6\,b^4\,x^{5/2}+\frac{20669\,a^9\,b\,x}{2}}{a^7\,b^{11}+b^{18}\,x^{7/2}+21\,a^5\,b^{13}\,x+7\,a\,b^{17}\,x^3+35\,a^3\,b^{15}\,x^2+7\,a^6\,b^{12}\,\sqrt{x}+35\,a^4\,b^{14}\,x^{3/2}+21\,a^2\,b^{16}\,x^{5/2}}+\frac{x^2}{2\,b^8}+\frac{36\,a^2\,x}{b^{10}}-\frac{16\,a\,x^{3/2}}{3\,b^9}+\frac{660\,a^4\,\ln\left(a+b\,\sqrt{x}\right)}{b^{12}}-\frac{240\,a^3\,\sqrt{x}}{b^{11}}","Not used",1,"((25961*a^11)/(42*b) + (23441*a^10*x^(1/2))/6 + 11770*a^7*b^3*x^2 + 924*a^5*b^5*x^3 + (29315*a^8*b^2*x^(3/2))/2 + 5082*a^6*b^4*x^(5/2) + (20669*a^9*b*x)/2)/(a^7*b^11 + b^18*x^(7/2) + 21*a^5*b^13*x + 7*a*b^17*x^3 + 35*a^3*b^15*x^2 + 7*a^6*b^12*x^(1/2) + 35*a^4*b^14*x^(3/2) + 21*a^2*b^16*x^(5/2)) + x^2/(2*b^8) + (36*a^2*x)/b^10 - (16*a*x^(3/2))/(3*b^9) + (660*a^4*log(a + b*x^(1/2)))/b^12 - (240*a^3*x^(1/2))/b^11","B"
2224,1,179,172,0.091402,"\text{Not used}","int(x^4/(a + b*x^(1/2))^8,x)","\frac{x}{b^8}+\frac{\frac{3349\,a^9}{35\,b}+\frac{3069\,a^8\,\sqrt{x}}{5}+1974\,a^5\,b^3\,x^2+168\,a^3\,b^5\,x^3+2394\,a^6\,b^2\,x^{3/2}+882\,a^4\,b^4\,x^{5/2}+\frac{8262\,a^7\,b\,x}{5}}{a^7\,b^9+b^{16}\,x^{7/2}+21\,a^5\,b^{11}\,x+7\,a\,b^{15}\,x^3+35\,a^3\,b^{13}\,x^2+7\,a^6\,b^{10}\,\sqrt{x}+35\,a^4\,b^{12}\,x^{3/2}+21\,a^2\,b^{14}\,x^{5/2}}-\frac{16\,a\,\sqrt{x}}{b^9}+\frac{72\,a^2\,\ln\left(a+b\,\sqrt{x}\right)}{b^{10}}","Not used",1,"x/b^8 + ((3349*a^9)/(35*b) + (3069*a^8*x^(1/2))/5 + 1974*a^5*b^3*x^2 + 168*a^3*b^5*x^3 + 2394*a^6*b^2*x^(3/2) + 882*a^4*b^4*x^(5/2) + (8262*a^7*b*x)/5)/(a^7*b^9 + b^16*x^(7/2) + 21*a^5*b^11*x + 7*a*b^15*x^3 + 35*a^3*b^13*x^2 + 7*a^6*b^10*x^(1/2) + 35*a^4*b^12*x^(3/2) + 21*a^2*b^14*x^(5/2)) - (16*a*x^(1/2))/b^9 + (72*a^2*log(a + b*x^(1/2)))/b^10","B"
2225,1,159,157,1.230514,"\text{Not used}","int(x^3/(a + b*x^(1/2))^8,x)","\frac{\frac{363\,a^7}{70\,b^8}+\frac{14\,a\,x^3}{b^2}+\frac{959\,a^5\,x}{10\,b^6}+\frac{385\,a^3\,x^2}{3\,b^4}+\frac{63\,a^2\,x^{5/2}}{b^3}+\frac{875\,a^4\,x^{3/2}}{6\,b^5}+\frac{343\,a^6\,\sqrt{x}}{10\,b^7}}{a^7+b^7\,x^{7/2}+21\,a^5\,b^2\,x+7\,a\,b^6\,x^3+7\,a^6\,b\,\sqrt{x}+35\,a^3\,b^4\,x^2+35\,a^4\,b^3\,x^{3/2}+21\,a^2\,b^5\,x^{5/2}}+\frac{2\,\ln\left(a+b\,\sqrt{x}\right)}{b^8}","Not used",1,"((363*a^7)/(70*b^8) + (14*a*x^3)/b^2 + (959*a^5*x)/(10*b^6) + (385*a^3*x^2)/(3*b^4) + (63*a^2*x^(5/2))/b^3 + (875*a^4*x^(3/2))/(6*b^5) + (343*a^6*x^(1/2))/(10*b^7))/(a^7 + b^7*x^(7/2) + 21*a^5*b^2*x + 7*a*b^6*x^3 + 7*a^6*b*x^(1/2) + 35*a^3*b^4*x^2 + 35*a^4*b^3*x^(3/2) + 21*a^2*b^5*x^(5/2)) + (2*log(a + b*x^(1/2)))/b^8","B"
2226,1,130,43,0.172690,"\text{Not used}","int(x^2/(a + b*x^(1/2))^8,x)","-\frac{\frac{a^5}{21\,b^6}+\frac{x^{5/2}}{b}+\frac{5\,a\,x^2}{3\,b^2}+\frac{a^3\,x}{b^4}+\frac{5\,a^2\,x^{3/2}}{3\,b^3}+\frac{a^4\,\sqrt{x}}{3\,b^5}}{a^7+b^7\,x^{7/2}+21\,a^5\,b^2\,x+7\,a\,b^6\,x^3+7\,a^6\,b\,\sqrt{x}+35\,a^3\,b^4\,x^2+35\,a^4\,b^3\,x^{3/2}+21\,a^2\,b^5\,x^{5/2}}","Not used",1,"-(a^5/(21*b^6) + x^(5/2)/b + (5*a*x^2)/(3*b^2) + (a^3*x)/b^4 + (5*a^2*x^(3/2))/(3*b^3) + (a^4*x^(1/2))/(3*b^5))/(a^7 + b^7*x^(7/2) + 21*a^5*b^2*x + 7*a*b^6*x^3 + 7*a^6*b*x^(1/2) + 35*a^3*b^4*x^2 + 35*a^4*b^3*x^(3/2) + 21*a^2*b^5*x^(5/2))","B"
2227,1,110,78,1.214826,"\text{Not used}","int(x/(a + b*x^(1/2))^8,x)","-\frac{\frac{a^3}{70\,b^4}+\frac{x^{3/2}}{2\,b}+\frac{a^2\,\sqrt{x}}{10\,b^3}+\frac{3\,a\,x}{10\,b^2}}{a^7+b^7\,x^{7/2}+21\,a^5\,b^2\,x+7\,a\,b^6\,x^3+7\,a^6\,b\,\sqrt{x}+35\,a^3\,b^4\,x^2+35\,a^4\,b^3\,x^{3/2}+21\,a^2\,b^5\,x^{5/2}}","Not used",1,"-(a^3/(70*b^4) + x^(3/2)/(2*b) + (a^2*x^(1/2))/(10*b^3) + (3*a*x)/(10*b^2))/(a^7 + b^7*x^(7/2) + 21*a^5*b^2*x + 7*a*b^6*x^3 + 7*a^6*b*x^(1/2) + 35*a^3*b^4*x^2 + 35*a^4*b^3*x^(3/2) + 21*a^2*b^5*x^(5/2))","B"
2228,1,90,38,1.220704,"\text{Not used}","int(1/(a + b*x^(1/2))^8,x)","-\frac{\frac{a}{21\,b^2}+\frac{\sqrt{x}}{3\,b}}{a^7+b^7\,x^{7/2}+21\,a^5\,b^2\,x+7\,a\,b^6\,x^3+7\,a^6\,b\,\sqrt{x}+35\,a^3\,b^4\,x^2+35\,a^4\,b^3\,x^{3/2}+21\,a^2\,b^5\,x^{5/2}}","Not used",1,"-(a/(21*b^2) + x^(1/2)/(3*b))/(a^7 + b^7*x^(7/2) + 21*a^5*b^2*x + 7*a*b^6*x^3 + 7*a^6*b*x^(1/2) + 35*a^3*b^4*x^2 + 35*a^4*b^3*x^(3/2) + 21*a^2*b^5*x^(5/2))","B"
2229,1,160,143,1.196972,"\text{Not used}","int(1/(x*(a + b*x^(1/2))^8),x)","\frac{\frac{363}{70\,a}+\frac{223\,b\,\sqrt{x}}{10\,a^2}+\frac{459\,b^2\,x}{10\,a^3}+\frac{107\,b^4\,x^2}{3\,a^5}+\frac{319\,b^3\,x^{3/2}}{6\,a^4}+\frac{2\,b^6\,x^3}{a^7}+\frac{13\,b^5\,x^{5/2}}{a^6}}{a^7+b^7\,x^{7/2}+21\,a^5\,b^2\,x+7\,a\,b^6\,x^3+7\,a^6\,b\,\sqrt{x}+35\,a^3\,b^4\,x^2+35\,a^4\,b^3\,x^{3/2}+21\,a^2\,b^5\,x^{5/2}}-\frac{4\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^8}","Not used",1,"(363/(70*a) + (223*b*x^(1/2))/(10*a^2) + (459*b^2*x)/(10*a^3) + (107*b^4*x^2)/(3*a^5) + (319*b^3*x^(3/2))/(6*a^4) + (2*b^6*x^3)/a^7 + (13*b^5*x^(5/2))/a^6)/(a^7 + b^7*x^(7/2) + 21*a^5*b^2*x + 7*a*b^6*x^3 + 7*a^6*b*x^(1/2) + 35*a^3*b^4*x^2 + 35*a^4*b^3*x^(3/2) + 21*a^2*b^5*x^(5/2)) - (4*atanh((2*b*x^(1/2))/a + 1))/a^8","B"
2230,1,189,184,1.263545,"\text{Not used}","int(1/(x^2*(a + b*x^(1/2))^8),x)","\frac{\frac{9\,b\,\sqrt{x}}{a^2}-\frac{1}{a}+\frac{6534\,b^2\,x}{35\,a^3}+\frac{8262\,b^4\,x^2}{5\,a^5}+\frac{4014\,b^3\,x^{3/2}}{5\,a^4}+\frac{1284\,b^6\,x^3}{a^7}+\frac{1914\,b^5\,x^{5/2}}{a^6}+\frac{72\,b^8\,x^4}{a^9}+\frac{468\,b^7\,x^{7/2}}{a^8}}{a^7\,x+b^7\,x^{9/2}+7\,a\,b^6\,x^4+7\,a^6\,b\,x^{3/2}+21\,a^5\,b^2\,x^2+35\,a^3\,b^4\,x^3+35\,a^4\,b^3\,x^{5/2}+21\,a^2\,b^5\,x^{7/2}}-\frac{144\,b^2\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^{10}}","Not used",1,"((9*b*x^(1/2))/a^2 - 1/a + (6534*b^2*x)/(35*a^3) + (8262*b^4*x^2)/(5*a^5) + (4014*b^3*x^(3/2))/(5*a^4) + (1284*b^6*x^3)/a^7 + (1914*b^5*x^(5/2))/a^6 + (72*b^8*x^4)/a^9 + (468*b^7*x^(7/2))/a^8)/(a^7*x + b^7*x^(9/2) + 7*a*b^6*x^4 + 7*a^6*b*x^(3/2) + 21*a^5*b^2*x^2 + 35*a^3*b^4*x^3 + 35*a^4*b^3*x^(5/2) + 21*a^2*b^5*x^(7/2)) - (144*b^2*atanh((2*b*x^(1/2))/a + 1))/a^10","B"
2231,1,213,217,1.602133,"\text{Not used}","int(1/(x^3*(a + b*x^(1/2))^8),x)","\frac{\frac{11\,b\,\sqrt{x}}{6\,a^2}-\frac{1}{2\,a}-\frac{55\,b^2\,x}{6\,a^3}+\frac{11979\,b^4\,x^2}{7\,a^5}+\frac{165\,b^3\,x^{3/2}}{2\,a^4}+\frac{15147\,b^6\,x^3}{a^7}+\frac{7359\,b^5\,x^{5/2}}{a^6}+\frac{11770\,b^8\,x^4}{a^9}+\frac{17545\,b^7\,x^{7/2}}{a^8}+\frac{660\,b^{10}\,x^5}{a^{11}}+\frac{4290\,b^9\,x^{9/2}}{a^{10}}}{a^7\,x^2+b^7\,x^{11/2}+7\,a\,b^6\,x^5+7\,a^6\,b\,x^{5/2}+21\,a^5\,b^2\,x^3+35\,a^3\,b^4\,x^4+35\,a^4\,b^3\,x^{7/2}+21\,a^2\,b^5\,x^{9/2}}-\frac{1320\,b^4\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^{12}}","Not used",1,"((11*b*x^(1/2))/(6*a^2) - 1/(2*a) - (55*b^2*x)/(6*a^3) + (11979*b^4*x^2)/(7*a^5) + (165*b^3*x^(3/2))/(2*a^4) + (15147*b^6*x^3)/a^7 + (7359*b^5*x^(5/2))/a^6 + (11770*b^8*x^4)/a^9 + (17545*b^7*x^(7/2))/a^8 + (660*b^10*x^5)/a^11 + (4290*b^9*x^(9/2))/a^10)/(a^7*x^2 + b^7*x^(11/2) + 7*a*b^6*x^5 + 7*a^6*b*x^(5/2) + 21*a^5*b^2*x^3 + 35*a^3*b^4*x^4 + 35*a^4*b^3*x^(7/2) + 21*a^2*b^5*x^(9/2)) - (1320*b^4*atanh((2*b*x^(1/2))/a + 1))/a^12","B"
2232,1,10,19,0.048199,"\text{Not used}","int(1/(x*(b*x^(1/2) + 2)),x)","-2\,\mathrm{atanh}\left(b\,\sqrt{x}+1\right)","Not used",1,"-2*atanh(b*x^(1/2) + 1)","B"
2233,1,98,132,1.834240,"\text{Not used}","int(x^2*(a + b*x^(1/2))^(1/2),x)","\frac{4\,{\left(a+b\,\sqrt{x}\right)}^{13/2}}{13\,b^6}-\frac{20\,a\,{\left(a+b\,\sqrt{x}\right)}^{11/2}}{11\,b^6}-\frac{4\,a^5\,{\left(a+b\,\sqrt{x}\right)}^{3/2}}{3\,b^6}+\frac{4\,a^4\,{\left(a+b\,\sqrt{x}\right)}^{5/2}}{b^6}-\frac{40\,a^3\,{\left(a+b\,\sqrt{x}\right)}^{7/2}}{7\,b^6}+\frac{40\,a^2\,{\left(a+b\,\sqrt{x}\right)}^{9/2}}{9\,b^6}","Not used",1,"(4*(a + b*x^(1/2))^(13/2))/(13*b^6) - (20*a*(a + b*x^(1/2))^(11/2))/(11*b^6) - (4*a^5*(a + b*x^(1/2))^(3/2))/(3*b^6) + (4*a^4*(a + b*x^(1/2))^(5/2))/b^6 - (40*a^3*(a + b*x^(1/2))^(7/2))/(7*b^6) + (40*a^2*(a + b*x^(1/2))^(9/2))/(9*b^6)","B"
2234,1,64,88,1.162205,"\text{Not used}","int(x*(a + b*x^(1/2))^(1/2),x)","\frac{4\,{\left(a+b\,\sqrt{x}\right)}^{9/2}}{9\,b^4}-\frac{12\,a\,{\left(a+b\,\sqrt{x}\right)}^{7/2}}{7\,b^4}-\frac{4\,a^3\,{\left(a+b\,\sqrt{x}\right)}^{3/2}}{3\,b^4}+\frac{12\,a^2\,{\left(a+b\,\sqrt{x}\right)}^{5/2}}{5\,b^4}","Not used",1,"(4*(a + b*x^(1/2))^(9/2))/(9*b^4) - (12*a*(a + b*x^(1/2))^(7/2))/(7*b^4) - (4*a^3*(a + b*x^(1/2))^(3/2))/(3*b^4) + (12*a^2*(a + b*x^(1/2))^(5/2))/(5*b^4)","B"
2235,1,37,42,1.153467,"\text{Not used}","int((a + b*x^(1/2))^(1/2),x)","\frac{x\,\sqrt{a+b\,\sqrt{x}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},2;\ 3;\ -\frac{b\,\sqrt{x}}{a}\right)}{\sqrt{\frac{b\,\sqrt{x}}{a}+1}}","Not used",1,"(x*(a + b*x^(1/2))^(1/2)*hypergeom([-1/2, 2], 3, -(b*x^(1/2))/a))/((b*x^(1/2))/a + 1)^(1/2)","B"
2236,1,31,43,1.886600,"\text{Not used}","int((a + b*x^(1/2))^(1/2)/x,x)","4\,\sqrt{a+b\,\sqrt{x}}-4\,\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,\sqrt{x}}}{\sqrt{a}}\right)","Not used",1,"4*(a + b*x^(1/2))^(1/2) - 4*a^(1/2)*atanh((a + b*x^(1/2))^(1/2)/a^(1/2))","B"
2237,1,54,77,1.566817,"\text{Not used}","int((a + b*x^(1/2))^(1/2)/x^2,x)","\frac{b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,\sqrt{x}}}{\sqrt{a}}\right)}{2\,a^{3/2}}-\frac{\sqrt{a+b\,\sqrt{x}}}{2\,x}-\frac{{\left(a+b\,\sqrt{x}\right)}^{3/2}}{2\,a\,x}","Not used",1,"(b^2*atanh((a + b*x^(1/2))^(1/2)/a^(1/2)))/(2*a^(3/2)) - (a + b*x^(1/2))^(1/2)/(2*x) - (a + b*x^(1/2))^(3/2)/(2*a*x)","B"
2238,1,91,133,1.422760,"\text{Not used}","int((a + b*x^(1/2))^(1/2)/x^3,x)","\frac{55\,{\left(a+b\,\sqrt{x}\right)}^{5/2}}{96\,a^2\,x^2}-\frac{73\,{\left(a+b\,\sqrt{x}\right)}^{3/2}}{96\,a\,x^2}-\frac{5\,\sqrt{a+b\,\sqrt{x}}}{32\,x^2}-\frac{5\,{\left(a+b\,\sqrt{x}\right)}^{7/2}}{32\,a^3\,x^2}-\frac{b^4\,\mathrm{atan}\left(\frac{\sqrt{a+b\,\sqrt{x}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,5{}\mathrm{i}}{32\,a^{7/2}}","Not used",1,"(55*(a + b*x^(1/2))^(5/2))/(96*a^2*x^2) - (b^4*atan(((a + b*x^(1/2))^(1/2)*1i)/a^(1/2))*5i)/(32*a^(7/2)) - (73*(a + b*x^(1/2))^(3/2))/(96*a*x^2) - (5*(a + b*x^(1/2))^(1/2))/(32*x^2) - (5*(a + b*x^(1/2))^(7/2))/(32*a^3*x^2)","B"
2239,1,98,130,1.464208,"\text{Not used}","int(x^2/(a + b*x^(1/2))^(1/2),x)","\frac{4\,{\left(a+b\,\sqrt{x}\right)}^{11/2}}{11\,b^6}-\frac{20\,a\,{\left(a+b\,\sqrt{x}\right)}^{9/2}}{9\,b^6}-\frac{4\,a^5\,\sqrt{a+b\,\sqrt{x}}}{b^6}+\frac{20\,a^4\,{\left(a+b\,\sqrt{x}\right)}^{3/2}}{3\,b^6}-\frac{8\,a^3\,{\left(a+b\,\sqrt{x}\right)}^{5/2}}{b^6}+\frac{40\,a^2\,{\left(a+b\,\sqrt{x}\right)}^{7/2}}{7\,b^6}","Not used",1,"(4*(a + b*x^(1/2))^(11/2))/(11*b^6) - (20*a*(a + b*x^(1/2))^(9/2))/(9*b^6) - (4*a^5*(a + b*x^(1/2))^(1/2))/b^6 + (20*a^4*(a + b*x^(1/2))^(3/2))/(3*b^6) - (8*a^3*(a + b*x^(1/2))^(5/2))/b^6 + (40*a^2*(a + b*x^(1/2))^(7/2))/(7*b^6)","B"
2240,1,64,84,1.225147,"\text{Not used}","int(x/(a + b*x^(1/2))^(1/2),x)","\frac{4\,{\left(a+b\,\sqrt{x}\right)}^{7/2}}{7\,b^4}-\frac{12\,a\,{\left(a+b\,\sqrt{x}\right)}^{5/2}}{5\,b^4}-\frac{4\,a^3\,\sqrt{a+b\,\sqrt{x}}}{b^4}+\frac{4\,a^2\,{\left(a+b\,\sqrt{x}\right)}^{3/2}}{b^4}","Not used",1,"(4*(a + b*x^(1/2))^(7/2))/(7*b^4) - (12*a*(a + b*x^(1/2))^(5/2))/(5*b^4) - (4*a^3*(a + b*x^(1/2))^(1/2))/b^4 + (4*a^2*(a + b*x^(1/2))^(3/2))/b^4","B"
2241,1,37,40,1.195306,"\text{Not used}","int(1/(a + b*x^(1/2))^(1/2),x)","\frac{x\,\sqrt{\frac{b\,\sqrt{x}}{a}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},2;\ 3;\ -\frac{b\,\sqrt{x}}{a}\right)}{\sqrt{a+b\,\sqrt{x}}}","Not used",1,"(x*((b*x^(1/2))/a + 1)^(1/2)*hypergeom([1/2, 2], 3, -(b*x^(1/2))/a))/(a + b*x^(1/2))^(1/2)","B"
2242,1,19,27,1.509668,"\text{Not used}","int(1/(x*(a + b*x^(1/2))^(1/2)),x)","-\frac{4\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,\sqrt{x}}}{\sqrt{a}}\right)}{\sqrt{a}}","Not used",1,"-(4*atanh((a + b*x^(1/2))^(1/2)/a^(1/2)))/a^(1/2)","B"
2243,1,57,80,1.508730,"\text{Not used}","int(1/(x^2*(a + b*x^(1/2))^(1/2)),x)","\frac{3\,{\left(a+b\,\sqrt{x}\right)}^{3/2}}{2\,a^2\,x}-\frac{5\,\sqrt{a+b\,\sqrt{x}}}{2\,a\,x}-\frac{3\,b^2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,\sqrt{x}}}{\sqrt{a}}\right)}{2\,a^{5/2}}","Not used",1,"(3*(a + b*x^(1/2))^(3/2))/(2*a^2*x) - (5*(a + b*x^(1/2))^(1/2))/(2*a*x) - (3*b^2*atanh((a + b*x^(1/2))^(1/2)/a^(1/2)))/(2*a^(5/2))","B"
2244,1,94,136,1.465426,"\text{Not used}","int(1/(x^3*(a + b*x^(1/2))^(1/2)),x)","\frac{511\,{\left(a+b\,\sqrt{x}\right)}^{3/2}}{96\,a^2\,x^2}-\frac{93\,\sqrt{a+b\,\sqrt{x}}}{32\,a\,x^2}-\frac{385\,{\left(a+b\,\sqrt{x}\right)}^{5/2}}{96\,a^3\,x^2}+\frac{35\,{\left(a+b\,\sqrt{x}\right)}^{7/2}}{32\,a^4\,x^2}+\frac{b^4\,\mathrm{atan}\left(\frac{\sqrt{a+b\,\sqrt{x}}\,1{}\mathrm{i}}{\sqrt{a}}\right)\,35{}\mathrm{i}}{32\,a^{9/2}}","Not used",1,"(b^4*atan(((a + b*x^(1/2))^(1/2)*1i)/a^(1/2))*35i)/(32*a^(9/2)) - (93*(a + b*x^(1/2))^(1/2))/(32*a*x^2) + (511*(a + b*x^(1/2))^(3/2))/(96*a^2*x^2) - (385*(a + b*x^(1/2))^(5/2))/(96*a^3*x^2) + (35*(a + b*x^(1/2))^(7/2))/(32*a^4*x^2)","B"
2245,0,-1,74,0.000000,"\text{Not used}","int(x^(1/2)*(a + b*x^(1/2))^n,x)","\int \sqrt{x}\,{\left(a+b\,\sqrt{x}\right)}^n \,d x","Not used",1,"int(x^(1/2)*(a + b*x^(1/2))^n, x)","F"
2246,1,21,23,1.330138,"\text{Not used}","int((a + b*x^(1/2))^n/x^(1/2),x)","\frac{2\,{\left(a+b\,\sqrt{x}\right)}^{n+1}}{b\,\left(n+1\right)}","Not used",1,"(2*(a + b*x^(1/2))^(n + 1))/(b*(n + 1))","B"
2247,1,7,9,0.020785,"\text{Not used}","int((x^(1/2) + 1)/x^(1/2),x)","x+2\,\sqrt{x}","Not used",1,"x + 2*x^(1/2)","B"
2248,1,13,13,0.030354,"\text{Not used}","int((x^(1/2) + 1)^2/x^(1/2),x)","\frac{2\,\sqrt{x}\,\left(x+3\,\sqrt{x}+3\right)}{3}","Not used",1,"(2*x^(1/2)*(x + 3*x^(1/2) + 3))/3","B"
2249,1,19,13,0.031071,"\text{Not used}","int((x^(1/2) + 1)^3/x^(1/2),x)","3\,x+\frac{x^2}{2}+2\,\sqrt{x}+2\,x^{3/2}","Not used",1,"3*x + x^2/2 + 2*x^(1/2) + 2*x^(3/2)","B"
2250,1,15,19,0.047823,"\text{Not used}","int(x^(1/2)/(x^(1/2) + 1),x)","x+2\,\ln\left(\sqrt{x}+1\right)-2\,\sqrt{x}","Not used",1,"x + 2*log(x^(1/2) + 1) - 2*x^(1/2)","B"
2251,1,8,10,0.048380,"\text{Not used}","int(1/(x^(1/2)*(x^(1/2) + 1)),x)","2\,\ln\left(\sqrt{x}+1\right)","Not used",1,"2*log(x^(1/2) + 1)","B"
2252,1,9,11,0.028119,"\text{Not used}","int(1/(x^(1/2)*(x^(1/2) + 1)^2),x)","-\frac{2}{\sqrt{x}+1}","Not used",1,"-2/(x^(1/2) + 1)","B"
2253,1,9,11,0.030498,"\text{Not used}","int(1/(x^(1/2)*(x^(1/2) + 1)^3),x)","-\frac{1}{{\left(\sqrt{x}+1\right)}^2}","Not used",1,"-1/(x^(1/2) + 1)^2","B"
2254,0,-1,46,0.000000,"\text{Not used}","int(x^(1/2)*(x^(1/2) + 1)^(1/2),x)","\int \sqrt{x}\,\sqrt{\sqrt{x}+1} \,d x","Not used",1,"int(x^(1/2)*(x^(1/2) + 1)^(1/2), x)","F"
2255,1,9,15,1.669666,"\text{Not used}","int((x^(1/2) + 1)^(1/2)/x^(1/2),x)","\frac{4\,{\left(\sqrt{x}+1\right)}^{3/2}}{3}","Not used",1,"(4*(x^(1/2) + 1)^(3/2))/3","B"
2256,1,78,58,1.124546,"\text{Not used}","int(x^(1/3)/(x^(1/2) + 1),x)","\frac{6\,x^{5/6}}{5}-\ln\left(9\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2+36\,x^{1/6}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)+\ln\left(9\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2+36\,x^{1/6}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)-3\,x^{1/3}-2\,\ln\left(36\,x^{1/6}+36\right)","Not used",1,"log(9*(3^(1/2)*1i + 1)^2 + 36*x^(1/6))*(3^(1/2)*1i + 1) - log(9*(3^(1/2)*1i - 1)^2 + 36*x^(1/6))*(3^(1/2)*1i - 1) - 2*log(36*x^(1/6) + 36) - 3*x^(1/3) + (6*x^(5/6))/5","B"
2257,1,292,87,1.699651,"\text{Not used}","int(x^m*(a + b*x^(1/2))^4,x)","\frac{b^4\,x^m\,x^3\,\left(4\,m^4+28\,m^3+71\,m^2+77\,m+30\right)}{4\,m^5+40\,m^4+155\,m^3+290\,m^2+261\,m+90}+\frac{a^4\,x\,x^m\,\left(4\,m^4+36\,m^3+119\,m^2+171\,m+90\right)}{4\,m^5+40\,m^4+155\,m^3+290\,m^2+261\,m+90}+\frac{8\,a\,b^3\,x^m\,x^{5/2}\,\left(2\,m^4+15\,m^3+40\,m^2+45\,m+18\right)}{4\,m^5+40\,m^4+155\,m^3+290\,m^2+261\,m+90}+\frac{8\,a^3\,b\,x^m\,x^{3/2}\,\left(2\,m^4+17\,m^3+52\,m^2+67\,m+30\right)}{4\,m^5+40\,m^4+155\,m^3+290\,m^2+261\,m+90}+\frac{6\,a^2\,b^2\,x^m\,x^2\,\left(4\,m^4+32\,m^3+91\,m^2+108\,m+45\right)}{4\,m^5+40\,m^4+155\,m^3+290\,m^2+261\,m+90}","Not used",1,"(b^4*x^m*x^3*(77*m + 71*m^2 + 28*m^3 + 4*m^4 + 30))/(261*m + 290*m^2 + 155*m^3 + 40*m^4 + 4*m^5 + 90) + (a^4*x*x^m*(171*m + 119*m^2 + 36*m^3 + 4*m^4 + 90))/(261*m + 290*m^2 + 155*m^3 + 40*m^4 + 4*m^5 + 90) + (8*a*b^3*x^m*x^(5/2)*(45*m + 40*m^2 + 15*m^3 + 2*m^4 + 18))/(261*m + 290*m^2 + 155*m^3 + 40*m^4 + 4*m^5 + 90) + (8*a^3*b*x^m*x^(3/2)*(67*m + 52*m^2 + 17*m^3 + 2*m^4 + 30))/(261*m + 290*m^2 + 155*m^3 + 40*m^4 + 4*m^5 + 90) + (6*a^2*b^2*x^m*x^2*(108*m + 91*m^2 + 32*m^3 + 4*m^4 + 45))/(261*m + 290*m^2 + 155*m^3 + 40*m^4 + 4*m^5 + 90)","B"
2258,1,184,70,1.430283,"\text{Not used}","int(x^m*(a + b*x^(1/2))^3,x)","x^m\,\left(\frac{a^3\,x\,\left(4\,m^3+24\,m^2+47\,m+30\right)}{4\,m^4+28\,m^3+71\,m^2+77\,m+30}+\frac{2\,b^3\,x^{5/2}\,\left(2\,m^3+9\,m^2+13\,m+6\right)}{4\,m^4+28\,m^3+71\,m^2+77\,m+30}+\frac{6\,a^2\,b\,x^{3/2}\,\left(2\,m^3+11\,m^2+19\,m+10\right)}{4\,m^4+28\,m^3+71\,m^2+77\,m+30}+\frac{3\,a\,b^2\,x^2\,\left(4\,m^3+20\,m^2+31\,m+15\right)}{4\,m^4+28\,m^3+71\,m^2+77\,m+30}\right)","Not used",1,"x^m*((a^3*x*(47*m + 24*m^2 + 4*m^3 + 30))/(77*m + 71*m^2 + 28*m^3 + 4*m^4 + 30) + (2*b^3*x^(5/2)*(13*m + 9*m^2 + 2*m^3 + 6))/(77*m + 71*m^2 + 28*m^3 + 4*m^4 + 30) + (6*a^2*b*x^(3/2)*(19*m + 11*m^2 + 2*m^3 + 10))/(77*m + 71*m^2 + 28*m^3 + 4*m^4 + 30) + (3*a*b^2*x^2*(31*m + 20*m^2 + 4*m^3 + 15))/(77*m + 71*m^2 + 28*m^3 + 4*m^4 + 30))","B"
2259,1,103,47,1.278113,"\text{Not used}","int(x^m*(a + b*x^(1/2))^2,x)","x^m\,\left(\frac{b^2\,x^2\,\left(2\,m^2+5\,m+3\right)}{2\,m^3+9\,m^2+13\,m+6}+\frac{a^2\,x\,\left(2\,m^2+7\,m+6\right)}{2\,m^3+9\,m^2+13\,m+6}+\frac{4\,a\,b\,x^{3/2}\,\left(m^2+3\,m+2\right)}{2\,m^3+9\,m^2+13\,m+6}\right)","Not used",1,"x^m*((b^2*x^2*(5*m + 2*m^2 + 3))/(13*m + 9*m^2 + 2*m^3 + 6) + (a^2*x*(7*m + 2*m^2 + 6))/(13*m + 9*m^2 + 2*m^3 + 6) + (4*a*b*x^(3/2)*(3*m + m^2 + 2))/(13*m + 9*m^2 + 2*m^3 + 6))","B"
2260,1,39,30,1.205689,"\text{Not used}","int(x^m*(a + b*x^(1/2)),x)","\frac{x^{m+1}\,\left(3\,a+2\,a\,m+2\,b\,\sqrt{x}+2\,b\,m\,\sqrt{x}\right)}{2\,m^2+5\,m+3}","Not used",1,"(x^(m + 1)*(3*a + 2*a*m + 2*b*x^(1/2) + 2*b*m*x^(1/2)))/(5*m + 2*m^2 + 3)","B"
2261,0,-1,37,0.000000,"\text{Not used}","int(x^m/(a + b*x^(1/2)),x)","\int \frac{x^m}{a+b\,\sqrt{x}} \,d x","Not used",1,"int(x^m/(a + b*x^(1/2)), x)","F"
2262,0,-1,37,0.000000,"\text{Not used}","int(x^m/(a + b*x^(1/2))^2,x)","\int \frac{x^m}{{\left(a+b\,\sqrt{x}\right)}^2} \,d x","Not used",1,"int(x^m/(a + b*x^(1/2))^2, x)","F"
2263,0,-1,52,0.000000,"\text{Not used}","int(x^m*(a + b*x^(1/2))^p,x)","\int x^m\,{\left(a+b\,\sqrt{x}\right)}^p \,d x","Not used",1,"int(x^m*(a + b*x^(1/2))^p, x)","F"
2264,1,590,204,2.108052,"\text{Not used}","int(x^3*(a + b*x^(1/2))^p,x)","{\left(a+b\,\sqrt{x}\right)}^p\,\left(\frac{2\,x^4\,\left(p^7+28\,p^6+322\,p^5+1960\,p^4+6769\,p^3+13132\,p^2+13068\,p+5040\right)}{p^8+36\,p^7+546\,p^6+4536\,p^5+22449\,p^4+67284\,p^3+118124\,p^2+109584\,p+40320}-\frac{10080\,a^8}{b^8\,\left(p^8+36\,p^7+546\,p^6+4536\,p^5+22449\,p^4+67284\,p^3+118124\,p^2+109584\,p+40320\right)}+\frac{10080\,a^7\,p\,\sqrt{x}}{b^7\,\left(p^8+36\,p^7+546\,p^6+4536\,p^5+22449\,p^4+67284\,p^3+118124\,p^2+109584\,p+40320\right)}-\frac{5040\,a^6\,p\,x\,\left(p+1\right)}{b^6\,\left(p^8+36\,p^7+546\,p^6+4536\,p^5+22449\,p^4+67284\,p^3+118124\,p^2+109584\,p+40320\right)}-\frac{14\,a^2\,p\,x^3\,\left(p^5+15\,p^4+85\,p^3+225\,p^2+274\,p+120\right)}{b^2\,\left(p^8+36\,p^7+546\,p^6+4536\,p^5+22449\,p^4+67284\,p^3+118124\,p^2+109584\,p+40320\right)}+\frac{1680\,a^5\,p\,x^{3/2}\,\left(p^2+3\,p+2\right)}{b^5\,\left(p^8+36\,p^7+546\,p^6+4536\,p^5+22449\,p^4+67284\,p^3+118124\,p^2+109584\,p+40320\right)}-\frac{420\,a^4\,p\,x^2\,\left(p^3+6\,p^2+11\,p+6\right)}{b^4\,\left(p^8+36\,p^7+546\,p^6+4536\,p^5+22449\,p^4+67284\,p^3+118124\,p^2+109584\,p+40320\right)}+\frac{2\,a\,p\,x^{7/2}\,\left(p^6+21\,p^5+175\,p^4+735\,p^3+1624\,p^2+1764\,p+720\right)}{b\,\left(p^8+36\,p^7+546\,p^6+4536\,p^5+22449\,p^4+67284\,p^3+118124\,p^2+109584\,p+40320\right)}+\frac{84\,a^3\,p\,x^{5/2}\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}{b^3\,\left(p^8+36\,p^7+546\,p^6+4536\,p^5+22449\,p^4+67284\,p^3+118124\,p^2+109584\,p+40320\right)}\right)","Not used",1,"(a + b*x^(1/2))^p*((2*x^4*(13068*p + 13132*p^2 + 6769*p^3 + 1960*p^4 + 322*p^5 + 28*p^6 + p^7 + 5040))/(109584*p + 118124*p^2 + 67284*p^3 + 22449*p^4 + 4536*p^5 + 546*p^6 + 36*p^7 + p^8 + 40320) - (10080*a^8)/(b^8*(109584*p + 118124*p^2 + 67284*p^3 + 22449*p^4 + 4536*p^5 + 546*p^6 + 36*p^7 + p^8 + 40320)) + (10080*a^7*p*x^(1/2))/(b^7*(109584*p + 118124*p^2 + 67284*p^3 + 22449*p^4 + 4536*p^5 + 546*p^6 + 36*p^7 + p^8 + 40320)) - (5040*a^6*p*x*(p + 1))/(b^6*(109584*p + 118124*p^2 + 67284*p^3 + 22449*p^4 + 4536*p^5 + 546*p^6 + 36*p^7 + p^8 + 40320)) - (14*a^2*p*x^3*(274*p + 225*p^2 + 85*p^3 + 15*p^4 + p^5 + 120))/(b^2*(109584*p + 118124*p^2 + 67284*p^3 + 22449*p^4 + 4536*p^5 + 546*p^6 + 36*p^7 + p^8 + 40320)) + (1680*a^5*p*x^(3/2)*(3*p + p^2 + 2))/(b^5*(109584*p + 118124*p^2 + 67284*p^3 + 22449*p^4 + 4536*p^5 + 546*p^6 + 36*p^7 + p^8 + 40320)) - (420*a^4*p*x^2*(11*p + 6*p^2 + p^3 + 6))/(b^4*(109584*p + 118124*p^2 + 67284*p^3 + 22449*p^4 + 4536*p^5 + 546*p^6 + 36*p^7 + p^8 + 40320)) + (2*a*p*x^(7/2)*(1764*p + 1624*p^2 + 735*p^3 + 175*p^4 + 21*p^5 + p^6 + 720))/(b*(109584*p + 118124*p^2 + 67284*p^3 + 22449*p^4 + 4536*p^5 + 546*p^6 + 36*p^7 + p^8 + 40320)) + (84*a^3*p*x^(5/2)*(50*p + 35*p^2 + 10*p^3 + p^4 + 24))/(b^3*(109584*p + 118124*p^2 + 67284*p^3 + 22449*p^4 + 4536*p^5 + 546*p^6 + 36*p^7 + p^8 + 40320)))","B"
2265,1,355,152,1.698247,"\text{Not used}","int(x^2*(a + b*x^(1/2))^p,x)","{\left(a+b\,\sqrt{x}\right)}^p\,\left(\frac{2\,x^3\,\left(p^5+15\,p^4+85\,p^3+225\,p^2+274\,p+120\right)}{p^6+21\,p^5+175\,p^4+735\,p^3+1624\,p^2+1764\,p+720}-\frac{240\,a^6}{b^6\,\left(p^6+21\,p^5+175\,p^4+735\,p^3+1624\,p^2+1764\,p+720\right)}+\frac{240\,a^5\,p\,\sqrt{x}}{b^5\,\left(p^6+21\,p^5+175\,p^4+735\,p^3+1624\,p^2+1764\,p+720\right)}+\frac{2\,a\,p\,x^{5/2}\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}{b\,\left(p^6+21\,p^5+175\,p^4+735\,p^3+1624\,p^2+1764\,p+720\right)}+\frac{40\,a^3\,p\,x^{3/2}\,\left(p^2+3\,p+2\right)}{b^3\,\left(p^6+21\,p^5+175\,p^4+735\,p^3+1624\,p^2+1764\,p+720\right)}-\frac{10\,a^2\,p\,x^2\,\left(p^3+6\,p^2+11\,p+6\right)}{b^2\,\left(p^6+21\,p^5+175\,p^4+735\,p^3+1624\,p^2+1764\,p+720\right)}-\frac{120\,a^4\,p\,x\,\left(p+1\right)}{b^4\,\left(p^6+21\,p^5+175\,p^4+735\,p^3+1624\,p^2+1764\,p+720\right)}\right)","Not used",1,"(a + b*x^(1/2))^p*((2*x^3*(274*p + 225*p^2 + 85*p^3 + 15*p^4 + p^5 + 120))/(1764*p + 1624*p^2 + 735*p^3 + 175*p^4 + 21*p^5 + p^6 + 720) - (240*a^6)/(b^6*(1764*p + 1624*p^2 + 735*p^3 + 175*p^4 + 21*p^5 + p^6 + 720)) + (240*a^5*p*x^(1/2))/(b^5*(1764*p + 1624*p^2 + 735*p^3 + 175*p^4 + 21*p^5 + p^6 + 720)) + (2*a*p*x^(5/2)*(50*p + 35*p^2 + 10*p^3 + p^4 + 24))/(b*(1764*p + 1624*p^2 + 735*p^3 + 175*p^4 + 21*p^5 + p^6 + 720)) + (40*a^3*p*x^(3/2)*(3*p + p^2 + 2))/(b^3*(1764*p + 1624*p^2 + 735*p^3 + 175*p^4 + 21*p^5 + p^6 + 720)) - (10*a^2*p*x^2*(11*p + 6*p^2 + p^3 + 6))/(b^2*(1764*p + 1624*p^2 + 735*p^3 + 175*p^4 + 21*p^5 + p^6 + 720)) - (120*a^4*p*x*(p + 1))/(b^4*(1764*p + 1624*p^2 + 735*p^3 + 175*p^4 + 21*p^5 + p^6 + 720)))","B"
2266,1,180,100,1.598362,"\text{Not used}","int(x*(a + b*x^(1/2))^p,x)","{\left(a+b\,\sqrt{x}\right)}^p\,\left(\frac{2\,x^2\,\left(p^3+6\,p^2+11\,p+6\right)}{p^4+10\,p^3+35\,p^2+50\,p+24}-\frac{12\,a^4}{b^4\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}+\frac{12\,a^3\,p\,\sqrt{x}}{b^3\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}-\frac{6\,a^2\,p\,x\,\left(p+1\right)}{b^2\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}+\frac{2\,a\,p\,x^{3/2}\,\left(p^2+3\,p+2\right)}{b\,\left(p^4+10\,p^3+35\,p^2+50\,p+24\right)}\right)","Not used",1,"(a + b*x^(1/2))^p*((2*x^2*(11*p + 6*p^2 + p^3 + 6))/(50*p + 35*p^2 + 10*p^3 + p^4 + 24) - (12*a^4)/(b^4*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)) + (12*a^3*p*x^(1/2))/(b^3*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)) - (6*a^2*p*x*(p + 1))/(b^2*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)) + (2*a*p*x^(3/2)*(3*p + p^2 + 2))/(b*(50*p + 35*p^2 + 10*p^3 + p^4 + 24)))","B"
2267,1,41,48,1.175807,"\text{Not used}","int((a + b*x^(1/2))^p,x)","\frac{x\,{\left(a+b\,\sqrt{x}\right)}^p\,{{}}_2{\mathrm{F}}_1\left(2,-p;\ 3;\ -\frac{b\,\sqrt{x}}{a}\right)}{{\left(\frac{b\,\sqrt{x}}{a}+1\right)}^p}","Not used",1,"(x*(a + b*x^(1/2))^p*hypergeom([2, -p], 3, -(b*x^(1/2))/a))/((b*x^(1/2))/a + 1)^p","B"
2268,0,-1,43,0.000000,"\text{Not used}","int((a + b*x^(1/2))^p/x,x)","\int \frac{{\left(a+b\,\sqrt{x}\right)}^p}{x} \,d x","Not used",1,"int((a + b*x^(1/2))^p/x, x)","F"
2269,0,-1,46,0.000000,"\text{Not used}","int((a + b*x^(1/2))^p/x^2,x)","\int \frac{{\left(a+b\,\sqrt{x}\right)}^p}{x^2} \,d x","Not used",1,"int((a + b*x^(1/2))^p/x^2, x)","F"
2270,1,8,12,0.097152,"\text{Not used}","int(x^(1/2)/(x^(3/2) + 1),x)","\frac{2\,\ln\left(x^{3/2}+1\right)}{3}","Not used",1,"(2*log(x^(3/2) + 1))/3","B"
2271,0,-1,139,0.000000,"\text{Not used}","int(x^3/(a + b*x^(3/2))^(2/3),x)","\int \frac{x^3}{{\left(a+b\,x^{3/2}\right)}^{2/3}} \,d x","Not used",1,"int(x^3/(a + b*x^(3/2))^(2/3), x)","F"
2272,1,37,82,1.205749,"\text{Not used}","int(1/(a + b*x^(3/2))^(2/3),x)","\frac{x\,{\left(\frac{b\,x^{3/2}}{a}+1\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{2}{3},\frac{2}{3};\ \frac{5}{3};\ -\frac{b\,x^{3/2}}{a}\right)}{{\left(a+b\,x^{3/2}\right)}^{2/3}}","Not used",1,"(x*((b*x^(3/2))/a + 1)^(2/3)*hypergeom([2/3, 2/3], 5/3, -(b*x^(3/2))/a))/(a + b*x^(3/2))^(2/3)","B"
2273,0,-1,50,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^(3/2))^(2/3)),x)","\int \frac{1}{x^3\,{\left(a+b\,x^{3/2}\right)}^{2/3}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^(3/2))^(2/3)), x)","F"
2274,0,-1,104,0.000000,"\text{Not used}","int(1/(x^6*(a + b*x^(3/2))^(2/3)),x)","\int \frac{1}{x^6\,{\left(a+b\,x^{3/2}\right)}^{2/3}} \,d x","Not used",1,"int(1/(x^6*(a + b*x^(3/2))^(2/3)), x)","F"
2275,0,-1,158,0.000000,"\text{Not used}","int(1/(x^9*(a + b*x^(3/2))^(2/3)),x)","\int \frac{1}{x^9\,{\left(a+b\,x^{3/2}\right)}^{2/3}} \,d x","Not used",1,"int(1/(x^9*(a + b*x^(3/2))^(2/3)), x)","F"
2276,1,98,130,1.385148,"\text{Not used}","int(x^8/(a + b*x^(3/2))^(2/3),x)","\frac{{\left(a+b\,x^{3/2}\right)}^{16/3}}{8\,b^6}-\frac{10\,a\,{\left(a+b\,x^{3/2}\right)}^{13/3}}{13\,b^6}-\frac{2\,a^5\,{\left(a+b\,x^{3/2}\right)}^{1/3}}{b^6}+\frac{5\,a^4\,{\left(a+b\,x^{3/2}\right)}^{4/3}}{2\,b^6}-\frac{20\,a^3\,{\left(a+b\,x^{3/2}\right)}^{7/3}}{7\,b^6}+\frac{2\,a^2\,{\left(a+b\,x^{3/2}\right)}^{10/3}}{b^6}","Not used",1,"(a + b*x^(3/2))^(16/3)/(8*b^6) - (10*a*(a + b*x^(3/2))^(13/3))/(13*b^6) - (2*a^5*(a + b*x^(3/2))^(1/3))/b^6 + (5*a^4*(a + b*x^(3/2))^(4/3))/(2*b^6) - (20*a^3*(a + b*x^(3/2))^(7/3))/(7*b^6) + (2*a^2*(a + b*x^(3/2))^(10/3))/b^6","B"
2277,1,64,86,1.419991,"\text{Not used}","int(x^5/(a + b*x^(3/2))^(2/3),x)","\frac{{\left(a+b\,x^{3/2}\right)}^{10/3}}{5\,b^4}-\frac{6\,a\,{\left(a+b\,x^{3/2}\right)}^{7/3}}{7\,b^4}-\frac{2\,a^3\,{\left(a+b\,x^{3/2}\right)}^{1/3}}{b^4}+\frac{3\,a^2\,{\left(a+b\,x^{3/2}\right)}^{4/3}}{2\,b^4}","Not used",1,"(a + b*x^(3/2))^(10/3)/(5*b^4) - (6*a*(a + b*x^(3/2))^(7/3))/(7*b^4) - (2*a^3*(a + b*x^(3/2))^(1/3))/b^4 + (3*a^2*(a + b*x^(3/2))^(4/3))/(2*b^4)","B"
2278,1,29,40,1.390496,"\text{Not used}","int(x^2/(a + b*x^(3/2))^(2/3),x)","-\frac{4\,a\,{\left(a+b\,x^{3/2}\right)}^{1/3}-{\left(a+b\,x^{3/2}\right)}^{4/3}}{2\,b^2}","Not used",1,"-(4*a*(a + b*x^(3/2))^(1/3) - (a + b*x^(3/2))^(4/3))/(2*b^2)","B"
2279,1,102,85,1.546848,"\text{Not used}","int(1/(x*(a + b*x^(3/2))^(2/3)),x)","\frac{2\,\ln\left(6\,{\left(a+b\,x^{3/2}\right)}^{1/3}-6\,a^{1/3}\right)}{3\,a^{2/3}}+\frac{\ln\left(3\,a^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)-6\,{\left(a+b\,x^{3/2}\right)}^{1/3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{3\,a^{2/3}}-\frac{\ln\left(3\,a^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)+6\,{\left(a+b\,x^{3/2}\right)}^{1/3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{3\,a^{2/3}}","Not used",1,"(2*log(6*(a + b*x^(3/2))^(1/3) - 6*a^(1/3)))/(3*a^(2/3)) + (log(3*a^(1/3)*(3^(1/2)*1i - 1) - 6*(a + b*x^(3/2))^(1/3))*(3^(1/2)*1i - 1))/(3*a^(2/3)) - (log(3*a^(1/3)*(3^(1/2)*1i + 1) + 6*(a + b*x^(3/2))^(1/3))*(3^(1/2)*1i + 1))/(3*a^(2/3))","B"
2280,1,205,148,1.615145,"\text{Not used}","int(1/(x^4*(a + b*x^(3/2))^(2/3)),x)","\frac{10\,b^2\,\ln\left({\left(a+b\,x^{3/2}\right)}^{1/3}-a^{1/3}\right)}{27\,a^{8/3}}-\frac{\frac{8\,b^2\,{\left(a+b\,x^{3/2}\right)}^{1/3}}{9\,a}-\frac{5\,b^2\,{\left(a+b\,x^{3/2}\right)}^{4/3}}{9\,a^2}}{{\left(a+b\,x^{3/2}\right)}^2-2\,a\,\left(a+b\,x^{3/2}\right)+a^2}+\frac{\ln\left(\frac{-5\,b^2+\sqrt{3}\,b^2\,5{}\mathrm{i}}{3\,a^{5/3}}-\frac{10\,b^2\,{\left(a+b\,x^{3/2}\right)}^{1/3}}{3\,a^2}\right)\,\left(-5\,b^2+\sqrt{3}\,b^2\,5{}\mathrm{i}\right)}{27\,a^{8/3}}-\frac{\ln\left(\frac{5\,b^2+\sqrt{3}\,b^2\,5{}\mathrm{i}}{3\,a^{5/3}}+\frac{10\,b^2\,{\left(a+b\,x^{3/2}\right)}^{1/3}}{3\,a^2}\right)\,\left(5\,b^2+\sqrt{3}\,b^2\,5{}\mathrm{i}\right)}{27\,a^{8/3}}","Not used",1,"(10*b^2*log((a + b*x^(3/2))^(1/3) - a^(1/3)))/(27*a^(8/3)) - ((8*b^2*(a + b*x^(3/2))^(1/3))/(9*a) - (5*b^2*(a + b*x^(3/2))^(4/3))/(9*a^2))/((a + b*x^(3/2))^2 - 2*a*(a + b*x^(3/2)) + a^2) + (log((3^(1/2)*b^2*5i - 5*b^2)/(3*a^(5/3)) - (10*b^2*(a + b*x^(3/2))^(1/3))/(3*a^2))*(3^(1/2)*b^2*5i - 5*b^2))/(27*a^(8/3)) - (log((3^(1/2)*b^2*5i + 5*b^2)/(3*a^(5/3)) + (10*b^2*(a + b*x^(3/2))^(1/3))/(3*a^2))*(3^(1/2)*b^2*5i + 5*b^2))/(27*a^(8/3))","B"
2281,0,-1,42,0.000000,"\text{Not used}","int(x^4/(a + b*x^(3/2))^(2/3),x)","\int \frac{x^4}{{\left(a+b\,x^{3/2}\right)}^{2/3}} \,d x","Not used",1,"int(x^4/(a + b*x^(3/2))^(2/3), x)","F"
2282,0,-1,42,0.000000,"\text{Not used}","int(x/(a + b*x^(3/2))^(2/3),x)","\int \frac{x}{{\left(a+b\,x^{3/2}\right)}^{2/3}} \,d x","Not used",1,"int(x/(a + b*x^(3/2))^(2/3), x)","F"
2283,0,-1,40,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x^(3/2))^(2/3)),x)","\int \frac{1}{x^2\,{\left(a+b\,x^{3/2}\right)}^{2/3}} \,d x","Not used",1,"int(1/(x^2*(a + b*x^(3/2))^(2/3)), x)","F"
2284,0,-1,57,0.000000,"\text{Not used}","int(1/(x^5*(a + b*x^(3/2))^(2/3)),x)","\int \frac{1}{x^5\,{\left(a+b\,x^{3/2}\right)}^{2/3}} \,d x","Not used",1,"int(1/(x^5*(a + b*x^(3/2))^(2/3)), x)","F"
2285,1,13,19,0.028044,"\text{Not used}","int(x^4*(a + b*x^(1/3)),x)","\frac{a\,x^5}{5}+\frac{3\,b\,x^{16/3}}{16}","Not used",1,"(a*x^5)/5 + (3*b*x^(16/3))/16","B"
2286,1,13,19,0.026147,"\text{Not used}","int(x^3*(a + b*x^(1/3)),x)","\frac{a\,x^4}{4}+\frac{3\,b\,x^{13/3}}{13}","Not used",1,"(a*x^4)/4 + (3*b*x^(13/3))/13","B"
2287,1,13,19,0.024590,"\text{Not used}","int(x^2*(a + b*x^(1/3)),x)","\frac{a\,x^3}{3}+\frac{3\,b\,x^{10/3}}{10}","Not used",1,"(a*x^3)/3 + (3*b*x^(10/3))/10","B"
2288,1,13,19,0.025257,"\text{Not used}","int(x*(a + b*x^(1/3)),x)","\frac{a\,x^2}{2}+\frac{3\,b\,x^{7/3}}{7}","Not used",1,"(a*x^2)/2 + (3*b*x^(7/3))/7","B"
2289,1,10,14,0.025071,"\text{Not used}","int(a + b*x^(1/3),x)","a\,x+\frac{3\,b\,x^{4/3}}{4}","Not used",1,"a*x + (3*b*x^(4/3))/4","B"
2290,1,11,13,1.100979,"\text{Not used}","int((a + b*x^(1/3))/x,x)","3\,b\,x^{1/3}+a\,\ln\left(x\right)","Not used",1,"3*b*x^(1/3) + a*log(x)","B"
2291,1,13,17,0.026214,"\text{Not used}","int((a + b*x^(1/3))/x^2,x)","-\frac{a}{x}-\frac{3\,b}{2\,x^{2/3}}","Not used",1,"- a/x - (3*b)/(2*x^(2/3))","B"
2292,1,15,19,0.026320,"\text{Not used}","int((a + b*x^(1/3))/x^3,x)","-\frac{5\,a+6\,b\,x^{1/3}}{10\,x^2}","Not used",1,"-(5*a + 6*b*x^(1/3))/(10*x^2)","B"
2293,1,15,19,0.027854,"\text{Not used}","int((a + b*x^(1/3))/x^4,x)","-\frac{8\,a+9\,b\,x^{1/3}}{24\,x^3}","Not used",1,"-(8*a + 9*b*x^(1/3))/(24*x^3)","B"
2294,1,24,34,0.040599,"\text{Not used}","int(x^4*(a + b*x^(1/3))^2,x)","\frac{a^2\,x^5}{5}+\frac{3\,b^2\,x^{17/3}}{17}+\frac{3\,a\,b\,x^{16/3}}{8}","Not used",1,"(a^2*x^5)/5 + (3*b^2*x^(17/3))/17 + (3*a*b*x^(16/3))/8","B"
2295,1,24,34,0.035792,"\text{Not used}","int(x^3*(a + b*x^(1/3))^2,x)","\frac{a^2\,x^4}{4}+\frac{3\,b^2\,x^{14/3}}{14}+\frac{6\,a\,b\,x^{13/3}}{13}","Not used",1,"(a^2*x^4)/4 + (3*b^2*x^(14/3))/14 + (6*a*b*x^(13/3))/13","B"
2296,1,24,34,0.039457,"\text{Not used}","int(x^2*(a + b*x^(1/3))^2,x)","\frac{a^2\,x^3}{3}+\frac{3\,b^2\,x^{11/3}}{11}+\frac{3\,a\,b\,x^{10/3}}{5}","Not used",1,"(a^2*x^3)/3 + (3*b^2*x^(11/3))/11 + (3*a*b*x^(10/3))/5","B"
2297,1,24,34,0.035486,"\text{Not used}","int(x*(a + b*x^(1/3))^2,x)","\frac{a^2\,x^2}{2}+\frac{3\,b^2\,x^{8/3}}{8}+\frac{6\,a\,b\,x^{7/3}}{7}","Not used",1,"(a^2*x^2)/2 + (3*b^2*x^(8/3))/8 + (6*a*b*x^(7/3))/7","B"
2298,1,21,29,1.122276,"\text{Not used}","int((a + b*x^(1/3))^2,x)","a^2\,x+\frac{3\,b^2\,x^{5/3}}{5}+\frac{3\,a\,b\,x^{4/3}}{2}","Not used",1,"a^2*x + (3*b^2*x^(5/3))/5 + (3*a*b*x^(4/3))/2","B"
2299,1,25,28,1.111327,"\text{Not used}","int((a + b*x^(1/3))^2/x,x)","3\,a^2\,\ln\left(x^{1/3}\right)+\frac{3\,b^2\,x^{2/3}}{2}+6\,a\,b\,x^{1/3}","Not used",1,"3*a^2*log(x^(1/3)) + (3*b^2*x^(2/3))/2 + 6*a*b*x^(1/3)","B"
2300,1,24,19,0.034195,"\text{Not used}","int((a + b*x^(1/3))^2/x^2,x)","-\frac{a^2}{x}-\frac{3\,b^2}{x^{1/3}}-\frac{3\,a\,b}{x^{2/3}}","Not used",1,"- a^2/x - (3*b^2)/x^(1/3) - (3*a*b)/x^(2/3)","B"
2301,1,26,34,0.028809,"\text{Not used}","int((a + b*x^(1/3))^2/x^3,x)","-\frac{10\,a^2+15\,b^2\,x^{2/3}+24\,a\,b\,x^{1/3}}{20\,x^2}","Not used",1,"-(10*a^2 + 15*b^2*x^(2/3) + 24*a*b*x^(1/3))/(20*x^2)","B"
2302,1,26,34,0.027688,"\text{Not used}","int((a + b*x^(1/3))^2/x^4,x)","-\frac{28\,a^2+36\,b^2\,x^{2/3}+63\,a\,b\,x^{1/3}}{84\,x^3}","Not used",1,"-(28*a^2 + 36*b^2*x^(2/3) + 63*a*b*x^(1/3))/(84*x^3)","B"
2303,1,35,47,0.041949,"\text{Not used}","int(x^4*(a + b*x^(1/3))^3,x)","\frac{a^3\,x^5}{5}+\frac{b^3\,x^6}{6}+\frac{9\,a^2\,b\,x^{16/3}}{16}+\frac{9\,a\,b^2\,x^{17/3}}{17}","Not used",1,"(a^3*x^5)/5 + (b^3*x^6)/6 + (9*a^2*b*x^(16/3))/16 + (9*a*b^2*x^(17/3))/17","B"
2304,1,35,47,0.041187,"\text{Not used}","int(x^3*(a + b*x^(1/3))^3,x)","\frac{a^3\,x^4}{4}+\frac{b^3\,x^5}{5}+\frac{9\,a^2\,b\,x^{13/3}}{13}+\frac{9\,a\,b^2\,x^{14/3}}{14}","Not used",1,"(a^3*x^4)/4 + (b^3*x^5)/5 + (9*a^2*b*x^(13/3))/13 + (9*a*b^2*x^(14/3))/14","B"
2305,1,35,47,0.042950,"\text{Not used}","int(x^2*(a + b*x^(1/3))^3,x)","\frac{a^3\,x^3}{3}+\frac{b^3\,x^4}{4}+\frac{9\,a^2\,b\,x^{10/3}}{10}+\frac{9\,a\,b^2\,x^{11/3}}{11}","Not used",1,"(a^3*x^3)/3 + (b^3*x^4)/4 + (9*a^2*b*x^(10/3))/10 + (9*a*b^2*x^(11/3))/11","B"
2306,1,35,47,0.043277,"\text{Not used}","int(x*(a + b*x^(1/3))^3,x)","\frac{a^3\,x^2}{2}+\frac{b^3\,x^3}{3}+\frac{9\,a^2\,b\,x^{7/3}}{7}+\frac{9\,a\,b^2\,x^{8/3}}{8}","Not used",1,"(a^3*x^2)/2 + (b^3*x^3)/3 + (9*a^2*b*x^(7/3))/7 + (9*a*b^2*x^(8/3))/8","B"
2307,1,32,42,0.040571,"\text{Not used}","int((a + b*x^(1/3))^3,x)","a^3\,x+\frac{b^3\,x^2}{2}+\frac{9\,a^2\,b\,x^{4/3}}{4}+\frac{9\,a\,b^2\,x^{5/3}}{5}","Not used",1,"a^3*x + (b^3*x^2)/2 + (9*a^2*b*x^(4/3))/4 + (9*a*b^2*x^(5/3))/5","B"
2308,1,33,36,0.035471,"\text{Not used}","int((a + b*x^(1/3))^3/x,x)","3\,a^3\,\ln\left(x^{1/3}\right)+b^3\,x+9\,a^2\,b\,x^{1/3}+\frac{9\,a\,b^2\,x^{2/3}}{2}","Not used",1,"3*a^3*log(x^(1/3)) + b^3*x + 9*a^2*b*x^(1/3) + (9*a*b^2*x^(2/3))/2","B"
2309,1,37,39,0.037396,"\text{Not used}","int((a + b*x^(1/3))^3/x^2,x)","3\,b^3\,\ln\left(x^{1/3}\right)-\frac{a^3+\frac{9\,a^2\,b\,x^{1/3}}{2}+9\,a\,b^2\,x^{2/3}}{x}","Not used",1,"3*b^3*log(x^(1/3)) - (a^3 + (9*a^2*b*x^(1/3))/2 + 9*a*b^2*x^(2/3))/x","B"
2310,1,35,45,1.105289,"\text{Not used}","int((a + b*x^(1/3))^3/x^3,x)","-\frac{20\,b^3\,x+10\,a^3+36\,a^2\,b\,x^{1/3}+45\,a\,b^2\,x^{2/3}}{20\,x^2}","Not used",1,"-(20*b^3*x + 10*a^3 + 36*a^2*b*x^(1/3) + 45*a*b^2*x^(2/3))/(20*x^2)","B"
2311,1,35,47,1.106345,"\text{Not used}","int((a + b*x^(1/3))^3/x^4,x)","-\frac{84\,b^3\,x+56\,a^3+189\,a^2\,b\,x^{1/3}+216\,a\,b^2\,x^{2/3}}{168\,x^3}","Not used",1,"-(84*b^3*x + 56*a^3 + 189*a^2*b*x^(1/3) + 216*a*b^2*x^(2/3))/(168*x^3)","B"
2312,1,57,77,0.027069,"\text{Not used}","int(x^4*(a + b*x^(1/3))^5,x)","\frac{a^5\,x^5}{5}+\frac{3\,b^5\,x^{20/3}}{20}+\frac{15\,a^4\,b\,x^{16/3}}{16}+\frac{15\,a\,b^4\,x^{19/3}}{19}+\frac{5\,a^2\,b^3\,x^6}{3}+\frac{30\,a^3\,b^2\,x^{17/3}}{17}","Not used",1,"(a^5*x^5)/5 + (3*b^5*x^(20/3))/20 + (15*a^4*b*x^(16/3))/16 + (15*a*b^4*x^(19/3))/19 + (5*a^2*b^3*x^6)/3 + (30*a^3*b^2*x^(17/3))/17","B"
2313,1,57,75,0.025585,"\text{Not used}","int(x^3*(a + b*x^(1/3))^5,x)","\frac{a^5\,x^4}{4}+\frac{3\,b^5\,x^{17/3}}{17}+\frac{15\,a^4\,b\,x^{13/3}}{13}+\frac{15\,a\,b^4\,x^{16/3}}{16}+2\,a^2\,b^3\,x^5+\frac{15\,a^3\,b^2\,x^{14/3}}{7}","Not used",1,"(a^5*x^4)/4 + (3*b^5*x^(17/3))/17 + (15*a^4*b*x^(13/3))/13 + (15*a*b^4*x^(16/3))/16 + 2*a^2*b^3*x^5 + (15*a^3*b^2*x^(14/3))/7","B"
2314,1,57,77,0.025332,"\text{Not used}","int(x^2*(a + b*x^(1/3))^5,x)","\frac{a^5\,x^3}{3}+\frac{3\,b^5\,x^{14/3}}{14}+\frac{3\,a^4\,b\,x^{10/3}}{2}+\frac{15\,a\,b^4\,x^{13/3}}{13}+\frac{5\,a^2\,b^3\,x^4}{2}+\frac{30\,a^3\,b^2\,x^{11/3}}{11}","Not used",1,"(a^5*x^3)/3 + (3*b^5*x^(14/3))/14 + (3*a^4*b*x^(10/3))/2 + (15*a*b^4*x^(13/3))/13 + (5*a^2*b^3*x^4)/2 + (30*a^3*b^2*x^(11/3))/11","B"
2315,1,57,77,0.025226,"\text{Not used}","int(x*(a + b*x^(1/3))^5,x)","\frac{a^5\,x^2}{2}+\frac{3\,b^5\,x^{11/3}}{11}+\frac{15\,a^4\,b\,x^{7/3}}{7}+\frac{3\,a\,b^4\,x^{10/3}}{2}+\frac{10\,a^2\,b^3\,x^3}{3}+\frac{15\,a^3\,b^2\,x^{8/3}}{4}","Not used",1,"(a^5*x^2)/2 + (3*b^5*x^(11/3))/11 + (15*a^4*b*x^(7/3))/7 + (3*a*b^4*x^(10/3))/2 + (10*a^2*b^3*x^3)/3 + (15*a^3*b^2*x^(8/3))/4","B"
2316,1,54,59,0.025752,"\text{Not used}","int((a + b*x^(1/3))^5,x)","a^5\,x+\frac{3\,b^5\,x^{8/3}}{8}+\frac{15\,a^4\,b\,x^{4/3}}{4}+\frac{15\,a\,b^4\,x^{7/3}}{7}+5\,a^2\,b^3\,x^2+6\,a^3\,b^2\,x^{5/3}","Not used",1,"a^5*x + (3*b^5*x^(8/3))/8 + (15*a^4*b*x^(4/3))/4 + (15*a*b^4*x^(7/3))/7 + 5*a^2*b^3*x^2 + 6*a^3*b^2*x^(5/3)","B"
2317,1,56,65,0.030173,"\text{Not used}","int((a + b*x^(1/3))^5/x,x)","3\,a^5\,\ln\left(x^{1/3}\right)+\frac{3\,b^5\,x^{5/3}}{5}+10\,a^2\,b^3\,x+15\,a^4\,b\,x^{1/3}+\frac{15\,a\,b^4\,x^{4/3}}{4}+15\,a^3\,b^2\,x^{2/3}","Not used",1,"3*a^5*log(x^(1/3)) + (3*b^5*x^(5/3))/5 + 10*a^2*b^3*x + 15*a^4*b*x^(1/3) + (15*a*b^4*x^(4/3))/4 + 15*a^3*b^2*x^(2/3)","B"
2318,1,59,68,0.040867,"\text{Not used}","int((a + b*x^(1/3))^5/x^2,x)","\frac{3\,b^5\,x^{2/3}}{2}-\frac{a^5+\frac{15\,a^4\,b\,x^{1/3}}{2}+30\,a^3\,b^2\,x^{2/3}}{x}+30\,a^2\,b^3\,\ln\left(x^{1/3}\right)+15\,a\,b^4\,x^{1/3}","Not used",1,"(3*b^5*x^(2/3))/2 - (a^5 + (15*a^4*b*x^(1/3))/2 + 30*a^3*b^2*x^(2/3))/x + 30*a^2*b^3*log(x^(1/3)) + 15*a*b^4*x^(1/3)","B"
2319,1,55,21,1.122486,"\text{Not used}","int((a + b*x^(1/3))^5/x^3,x)","-\frac{a^5+6\,b^5\,x^{5/3}+20\,a^2\,b^3\,x+6\,a^4\,b\,x^{1/3}+15\,a\,b^4\,x^{4/3}+15\,a^3\,b^2\,x^{2/3}}{2\,x^2}","Not used",1,"-(a^5 + 6*b^5*x^(5/3) + 20*a^2*b^3*x + 6*a^4*b*x^(1/3) + 15*a*b^4*x^(4/3) + 15*a^3*b^2*x^(2/3))/(2*x^2)","B"
2320,1,57,73,0.041600,"\text{Not used}","int((a + b*x^(1/3))^5/x^4,x)","-\frac{\frac{a^5}{3}+\frac{3\,b^5\,x^{5/3}}{4}+5\,a^2\,b^3\,x+\frac{15\,a^4\,b\,x^{1/3}}{8}+3\,a\,b^4\,x^{4/3}+\frac{30\,a^3\,b^2\,x^{2/3}}{7}}{x^3}","Not used",1,"-(a^5/3 + (3*b^5*x^(5/3))/4 + 5*a^2*b^3*x + (15*a^4*b*x^(1/3))/8 + 3*a*b^4*x^(4/3) + (30*a^3*b^2*x^(2/3))/7)/x^3","B"
2321,1,57,75,1.127928,"\text{Not used}","int((a + b*x^(1/3))^5/x^5,x)","-\frac{\frac{a^5}{4}+\frac{3\,b^5\,x^{5/3}}{7}+\frac{10\,a^2\,b^3\,x}{3}+\frac{15\,a^4\,b\,x^{1/3}}{11}+\frac{15\,a\,b^4\,x^{4/3}}{8}+3\,a^3\,b^2\,x^{2/3}}{x^4}","Not used",1,"-(a^5/4 + (3*b^5*x^(5/3))/7 + (10*a^2*b^3*x)/3 + (15*a^4*b*x^(1/3))/11 + (15*a*b^4*x^(4/3))/8 + 3*a^3*b^2*x^(2/3))/x^4","B"
2322,1,57,77,0.044350,"\text{Not used}","int((a + b*x^(1/3))^5/x^6,x)","-\frac{\frac{a^5}{5}+\frac{3\,b^5\,x^{5/3}}{10}+\frac{5\,a^2\,b^3\,x}{2}+\frac{15\,a^4\,b\,x^{1/3}}{14}+\frac{15\,a\,b^4\,x^{4/3}}{11}+\frac{30\,a^3\,b^2\,x^{2/3}}{13}}{x^5}","Not used",1,"-(a^5/5 + (3*b^5*x^(5/3))/10 + (5*a^2*b^3*x)/2 + (15*a^4*b*x^(1/3))/14 + (15*a*b^4*x^(4/3))/11 + (30*a^3*b^2*x^(2/3))/13)/x^5","B"
2323,1,57,75,0.044088,"\text{Not used}","int((a + b*x^(1/3))^5/x^7,x)","-\frac{\frac{a^5}{6}+\frac{3\,b^5\,x^{5/3}}{13}+2\,a^2\,b^3\,x+\frac{15\,a^4\,b\,x^{1/3}}{17}+\frac{15\,a\,b^4\,x^{4/3}}{14}+\frac{15\,a^3\,b^2\,x^{2/3}}{8}}{x^6}","Not used",1,"-(a^5/6 + (3*b^5*x^(5/3))/13 + 2*a^2*b^3*x + (15*a^4*b*x^(1/3))/17 + (15*a*b^4*x^(4/3))/14 + (15*a^3*b^2*x^(2/3))/8)/x^6","B"
2324,1,112,144,1.152524,"\text{Not used}","int(x^4*(a + b*x^(1/3))^10,x)","\frac{a^{10}\,x^5}{5}+\frac{3\,b^{10}\,x^{25/3}}{25}+\frac{5\,a\,b^9\,x^8}{4}+\frac{15\,a^9\,b\,x^{16/3}}{8}+20\,a^7\,b^3\,x^6+30\,a^4\,b^6\,x^7+\frac{135\,a^8\,b^2\,x^{17/3}}{17}+\frac{630\,a^6\,b^4\,x^{19/3}}{19}+\frac{189\,a^5\,b^5\,x^{20/3}}{5}+\frac{180\,a^3\,b^7\,x^{22/3}}{11}+\frac{135\,a^2\,b^8\,x^{23/3}}{23}","Not used",1,"(a^10*x^5)/5 + (3*b^10*x^(25/3))/25 + (5*a*b^9*x^8)/4 + (15*a^9*b*x^(16/3))/8 + 20*a^7*b^3*x^6 + 30*a^4*b^6*x^7 + (135*a^8*b^2*x^(17/3))/17 + (630*a^6*b^4*x^(19/3))/19 + (189*a^5*b^5*x^(20/3))/5 + (180*a^3*b^7*x^(22/3))/11 + (135*a^2*b^8*x^(23/3))/23","B"
2325,1,112,144,0.059916,"\text{Not used}","int(x^3*(a + b*x^(1/3))^10,x)","\frac{a^{10}\,x^4}{4}+\frac{3\,b^{10}\,x^{22/3}}{22}+\frac{10\,a\,b^9\,x^7}{7}+\frac{30\,a^9\,b\,x^{13/3}}{13}+24\,a^7\,b^3\,x^5+35\,a^4\,b^6\,x^6+\frac{135\,a^8\,b^2\,x^{14/3}}{14}+\frac{315\,a^6\,b^4\,x^{16/3}}{8}+\frac{756\,a^5\,b^5\,x^{17/3}}{17}+\frac{360\,a^3\,b^7\,x^{19/3}}{19}+\frac{27\,a^2\,b^8\,x^{20/3}}{4}","Not used",1,"(a^10*x^4)/4 + (3*b^10*x^(22/3))/22 + (10*a*b^9*x^7)/7 + (30*a^9*b*x^(13/3))/13 + 24*a^7*b^3*x^5 + 35*a^4*b^6*x^6 + (135*a^8*b^2*x^(14/3))/14 + (315*a^6*b^4*x^(16/3))/8 + (756*a^5*b^5*x^(17/3))/17 + (360*a^3*b^7*x^(19/3))/19 + (27*a^2*b^8*x^(20/3))/4","B"
2326,1,112,179,0.060844,"\text{Not used}","int(x^2*(a + b*x^(1/3))^10,x)","\frac{a^{10}\,x^3}{3}+\frac{3\,b^{10}\,x^{19/3}}{19}+\frac{5\,a\,b^9\,x^6}{3}+3\,a^9\,b\,x^{10/3}+30\,a^7\,b^3\,x^4+42\,a^4\,b^6\,x^5+\frac{135\,a^8\,b^2\,x^{11/3}}{11}+\frac{630\,a^6\,b^4\,x^{13/3}}{13}+54\,a^5\,b^5\,x^{14/3}+\frac{45\,a^3\,b^7\,x^{16/3}}{2}+\frac{135\,a^2\,b^8\,x^{17/3}}{17}","Not used",1,"(a^10*x^3)/3 + (3*b^10*x^(19/3))/19 + (5*a*b^9*x^6)/3 + 3*a^9*b*x^(10/3) + 30*a^7*b^3*x^4 + 42*a^4*b^6*x^5 + (135*a^8*b^2*x^(11/3))/11 + (630*a^6*b^4*x^(13/3))/13 + 54*a^5*b^5*x^(14/3) + (45*a^3*b^7*x^(16/3))/2 + (135*a^2*b^8*x^(17/3))/17","B"
2327,1,112,120,0.059481,"\text{Not used}","int(x*(a + b*x^(1/3))^10,x)","\frac{a^{10}\,x^2}{2}+\frac{3\,b^{10}\,x^{16/3}}{16}+2\,a\,b^9\,x^5+\frac{30\,a^9\,b\,x^{7/3}}{7}+40\,a^7\,b^3\,x^3+\frac{105\,a^4\,b^6\,x^4}{2}+\frac{135\,a^8\,b^2\,x^{8/3}}{8}+63\,a^6\,b^4\,x^{10/3}+\frac{756\,a^5\,b^5\,x^{11/3}}{11}+\frac{360\,a^3\,b^7\,x^{13/3}}{13}+\frac{135\,a^2\,b^8\,x^{14/3}}{14}","Not used",1,"(a^10*x^2)/2 + (3*b^10*x^(16/3))/16 + 2*a*b^9*x^5 + (30*a^9*b*x^(7/3))/7 + 40*a^7*b^3*x^3 + (105*a^4*b^6*x^4)/2 + (135*a^8*b^2*x^(8/3))/8 + 63*a^6*b^4*x^(10/3) + (756*a^5*b^5*x^(11/3))/11 + (360*a^3*b^7*x^(13/3))/13 + (135*a^2*b^8*x^(14/3))/14","B"
2328,1,109,59,0.058851,"\text{Not used}","int((a + b*x^(1/3))^10,x)","a^{10}\,x+\frac{3\,b^{10}\,x^{13/3}}{13}+\frac{5\,a\,b^9\,x^4}{2}+\frac{15\,a^9\,b\,x^{4/3}}{2}+60\,a^7\,b^3\,x^2+70\,a^4\,b^6\,x^3+27\,a^8\,b^2\,x^{5/3}+90\,a^6\,b^4\,x^{7/3}+\frac{189\,a^5\,b^5\,x^{8/3}}{2}+36\,a^3\,b^7\,x^{10/3}+\frac{135\,a^2\,b^8\,x^{11/3}}{11}","Not used",1,"a^10*x + (3*b^10*x^(13/3))/13 + (5*a*b^9*x^4)/2 + (15*a^9*b*x^(4/3))/2 + 60*a^7*b^3*x^2 + 70*a^4*b^6*x^3 + 27*a^8*b^2*x^(5/3) + 90*a^6*b^4*x^(7/3) + (189*a^5*b^5*x^(8/3))/2 + 36*a^3*b^7*x^(10/3) + (135*a^2*b^8*x^(11/3))/11","B"
2329,1,111,136,0.063941,"\text{Not used}","int((a + b*x^(1/3))^10/x,x)","3\,a^{10}\,\ln\left(x^{1/3}\right)+\frac{3\,b^{10}\,x^{10/3}}{10}+120\,a^7\,b^3\,x+\frac{10\,a\,b^9\,x^3}{3}+30\,a^9\,b\,x^{1/3}+105\,a^4\,b^6\,x^2+\frac{135\,a^8\,b^2\,x^{2/3}}{2}+\frac{315\,a^6\,b^4\,x^{4/3}}{2}+\frac{756\,a^5\,b^5\,x^{5/3}}{5}+\frac{360\,a^3\,b^7\,x^{7/3}}{7}+\frac{135\,a^2\,b^8\,x^{8/3}}{8}","Not used",1,"3*a^10*log(x^(1/3)) + (3*b^10*x^(10/3))/10 + 120*a^7*b^3*x + (10*a*b^9*x^3)/3 + 30*a^9*b*x^(1/3) + 105*a^4*b^6*x^2 + (135*a^8*b^2*x^(2/3))/2 + (315*a^6*b^4*x^(4/3))/2 + (756*a^5*b^5*x^(5/3))/5 + (360*a^3*b^7*x^(7/3))/7 + (135*a^2*b^8*x^(8/3))/8","B"
2330,1,112,125,0.052122,"\text{Not used}","int((a + b*x^(1/3))^10/x^2,x)","\frac{3\,b^{10}\,x^{7/3}}{7}-\frac{a^{10}+15\,a^9\,b\,x^{1/3}+135\,a^8\,b^2\,x^{2/3}}{x}+360\,a^7\,b^3\,\ln\left(x^{1/3}\right)+210\,a^4\,b^6\,x+5\,a\,b^9\,x^2+630\,a^6\,b^4\,x^{1/3}+378\,a^5\,b^5\,x^{2/3}+90\,a^3\,b^7\,x^{4/3}+27\,a^2\,b^8\,x^{5/3}","Not used",1,"(3*b^10*x^(7/3))/7 - (a^10 + 15*a^9*b*x^(1/3) + 135*a^8*b^2*x^(2/3))/x + 360*a^7*b^3*log(x^(1/3)) + 210*a^4*b^6*x + 5*a*b^9*x^2 + 630*a^6*b^4*x^(1/3) + 378*a^5*b^5*x^(2/3) + 90*a^3*b^7*x^(4/3) + 27*a^2*b^8*x^(5/3)","B"
2331,1,112,131,1.129896,"\text{Not used}","int((a + b*x^(1/3))^10/x^3,x)","\frac{3\,b^{10}\,x^{4/3}}{4}-\frac{\frac{a^{10}}{2}+120\,a^7\,b^3\,x+6\,a^9\,b\,x^{1/3}+\frac{135\,a^8\,b^2\,x^{2/3}}{4}+315\,a^6\,b^4\,x^{4/3}+756\,a^5\,b^5\,x^{5/3}}{x^2}+630\,a^4\,b^6\,\ln\left(x^{1/3}\right)+360\,a^3\,b^7\,x^{1/3}+\frac{135\,a^2\,b^8\,x^{2/3}}{2}+10\,a\,b^9\,x","Not used",1,"(3*b^10*x^(4/3))/4 - (a^10/2 + 120*a^7*b^3*x + 6*a^9*b*x^(1/3) + (135*a^8*b^2*x^(2/3))/4 + 315*a^6*b^4*x^(4/3) + 756*a^5*b^5*x^(5/3))/x^2 + 630*a^4*b^6*log(x^(1/3)) + 360*a^3*b^7*x^(1/3) + (135*a^2*b^8*x^(2/3))/2 + 10*a*b^9*x","B"
2332,1,113,131,1.164653,"\text{Not used}","int((a + b*x^(1/3))^10/x^4,x)","3\,b^{10}\,x^{1/3}-\frac{a^{10}}{3\,x^3}-\frac{15\,a^9\,b}{4\,x^{8/3}}-\frac{210\,a^4\,b^6}{x}-\frac{60\,a^7\,b^3}{x^2}-\frac{135\,a^2\,b^8}{x^{1/3}}-\frac{180\,a^3\,b^7}{x^{2/3}}-\frac{189\,a^5\,b^5}{x^{4/3}}-\frac{126\,a^6\,b^4}{x^{5/3}}-\frac{135\,a^8\,b^2}{7\,x^{7/3}}+30\,a\,b^9\,\ln\left(x^{1/3}\right)","Not used",1,"3*b^10*x^(1/3) - a^10/(3*x^3) - (15*a^9*b)/(4*x^(8/3)) - (210*a^4*b^6)/x - (60*a^7*b^3)/x^2 - (135*a^2*b^8)/x^(1/3) - (180*a^3*b^7)/x^(2/3) - (189*a^5*b^5)/x^(4/3) - (126*a^6*b^4)/x^(5/3) - (135*a^8*b^2)/(7*x^(7/3)) + 30*a*b^9*log(x^(1/3))","B"
2333,1,112,46,1.176642,"\text{Not used}","int((a + b*x^(1/3))^10/x^5,x)","-\frac{\frac{a^{10}}{4}+\frac{3\,b^{10}\,x^{10/3}}{2}+40\,a^7\,b^3\,x+10\,a\,b^9\,x^3+\frac{30\,a^9\,b\,x^{1/3}}{11}+105\,a^4\,b^6\,x^2+\frac{27\,a^8\,b^2\,x^{2/3}}{2}+\frac{315\,a^6\,b^4\,x^{4/3}}{4}+108\,a^5\,b^5\,x^{5/3}+72\,a^3\,b^7\,x^{7/3}+\frac{135\,a^2\,b^8\,x^{8/3}}{4}}{x^4}","Not used",1,"-(a^10/4 + (3*b^10*x^(10/3))/2 + 40*a^7*b^3*x + 10*a*b^9*x^3 + (30*a^9*b*x^(1/3))/11 + 105*a^4*b^6*x^2 + (27*a^8*b^2*x^(2/3))/2 + (315*a^6*b^4*x^(4/3))/4 + 108*a^5*b^5*x^(5/3) + 72*a^3*b^7*x^(7/3) + (135*a^2*b^8*x^(8/3))/4)/x^4","B"
2334,1,112,122,1.168156,"\text{Not used}","int((a + b*x^(1/3))^10/x^6,x)","-\frac{\frac{a^{10}}{5}+\frac{3\,b^{10}\,x^{10/3}}{5}+30\,a^7\,b^3\,x+5\,a\,b^9\,x^3+\frac{15\,a^9\,b\,x^{1/3}}{7}+70\,a^4\,b^6\,x^2+\frac{135\,a^8\,b^2\,x^{2/3}}{13}+\frac{630\,a^6\,b^4\,x^{4/3}}{11}+\frac{378\,a^5\,b^5\,x^{5/3}}{5}+45\,a^3\,b^7\,x^{7/3}+\frac{135\,a^2\,b^8\,x^{8/3}}{7}}{x^5}","Not used",1,"-(a^10/5 + (3*b^10*x^(10/3))/5 + 30*a^7*b^3*x + 5*a*b^9*x^3 + (15*a^9*b*x^(1/3))/7 + 70*a^4*b^6*x^2 + (135*a^8*b^2*x^(2/3))/13 + (630*a^6*b^4*x^(4/3))/11 + (378*a^5*b^5*x^(5/3))/5 + 45*a^3*b^7*x^(7/3) + (135*a^2*b^8*x^(8/3))/7)/x^5","B"
2335,1,112,144,1.164919,"\text{Not used}","int((a + b*x^(1/3))^10/x^7,x)","-\frac{\frac{a^{10}}{6}+\frac{3\,b^{10}\,x^{10/3}}{8}+24\,a^7\,b^3\,x+\frac{10\,a\,b^9\,x^3}{3}+\frac{30\,a^9\,b\,x^{1/3}}{17}+\frac{105\,a^4\,b^6\,x^2}{2}+\frac{135\,a^8\,b^2\,x^{2/3}}{16}+45\,a^6\,b^4\,x^{4/3}+\frac{756\,a^5\,b^5\,x^{5/3}}{13}+\frac{360\,a^3\,b^7\,x^{7/3}}{11}+\frac{27\,a^2\,b^8\,x^{8/3}}{2}}{x^6}","Not used",1,"-(a^10/6 + (3*b^10*x^(10/3))/8 + 24*a^7*b^3*x + (10*a*b^9*x^3)/3 + (30*a^9*b*x^(1/3))/17 + (105*a^4*b^6*x^2)/2 + (135*a^8*b^2*x^(2/3))/16 + 45*a^6*b^4*x^(4/3) + (756*a^5*b^5*x^(5/3))/13 + (360*a^3*b^7*x^(7/3))/11 + (27*a^2*b^8*x^(8/3))/2)/x^6","B"
2336,1,112,144,0.088879,"\text{Not used}","int((a + b*x^(1/3))^10/x^8,x)","-\frac{\frac{a^{10}}{7}+\frac{3\,b^{10}\,x^{10/3}}{11}+20\,a^7\,b^3\,x+\frac{5\,a\,b^9\,x^3}{2}+\frac{3\,a^9\,b\,x^{1/3}}{2}+42\,a^4\,b^6\,x^2+\frac{135\,a^8\,b^2\,x^{2/3}}{19}+\frac{630\,a^6\,b^4\,x^{4/3}}{17}+\frac{189\,a^5\,b^5\,x^{5/3}}{4}+\frac{180\,a^3\,b^7\,x^{7/3}}{7}+\frac{135\,a^2\,b^8\,x^{8/3}}{13}}{x^7}","Not used",1,"-(a^10/7 + (3*b^10*x^(10/3))/11 + 20*a^7*b^3*x + (5*a*b^9*x^3)/2 + (3*a^9*b*x^(1/3))/2 + 42*a^4*b^6*x^2 + (135*a^8*b^2*x^(2/3))/19 + (630*a^6*b^4*x^(4/3))/17 + (189*a^5*b^5*x^(5/3))/4 + (180*a^3*b^7*x^(7/3))/7 + (135*a^2*b^8*x^(8/3))/13)/x^7","B"
2337,1,112,144,0.093620,"\text{Not used}","int((a + b*x^(1/3))^10/x^9,x)","-\frac{\frac{a^{10}}{8}+\frac{3\,b^{10}\,x^{10/3}}{14}+\frac{120\,a^7\,b^3\,x}{7}+2\,a\,b^9\,x^3+\frac{30\,a^9\,b\,x^{1/3}}{23}+35\,a^4\,b^6\,x^2+\frac{135\,a^8\,b^2\,x^{2/3}}{22}+\frac{63\,a^6\,b^4\,x^{4/3}}{2}+\frac{756\,a^5\,b^5\,x^{5/3}}{19}+\frac{360\,a^3\,b^7\,x^{7/3}}{17}+\frac{135\,a^2\,b^8\,x^{8/3}}{16}}{x^8}","Not used",1,"-(a^10/8 + (3*b^10*x^(10/3))/14 + (120*a^7*b^3*x)/7 + 2*a*b^9*x^3 + (30*a^9*b*x^(1/3))/23 + 35*a^4*b^6*x^2 + (135*a^8*b^2*x^(2/3))/22 + (63*a^6*b^4*x^(4/3))/2 + (756*a^5*b^5*x^(5/3))/19 + (360*a^3*b^7*x^(7/3))/17 + (135*a^2*b^8*x^(8/3))/16)/x^8","B"
2338,1,112,142,1.193804,"\text{Not used}","int((a + b*x^(1/3))^10/x^10,x)","-\frac{\frac{a^{10}}{9}+\frac{3\,b^{10}\,x^{10/3}}{17}+15\,a^7\,b^3\,x+\frac{5\,a\,b^9\,x^3}{3}+\frac{15\,a^9\,b\,x^{1/3}}{13}+30\,a^4\,b^6\,x^2+\frac{27\,a^8\,b^2\,x^{2/3}}{5}+\frac{630\,a^6\,b^4\,x^{4/3}}{23}+\frac{378\,a^5\,b^5\,x^{5/3}}{11}+18\,a^3\,b^7\,x^{7/3}+\frac{135\,a^2\,b^8\,x^{8/3}}{19}}{x^9}","Not used",1,"-(a^10/9 + (3*b^10*x^(10/3))/17 + 15*a^7*b^3*x + (5*a*b^9*x^3)/3 + (15*a^9*b*x^(1/3))/13 + 30*a^4*b^6*x^2 + (27*a^8*b^2*x^(2/3))/5 + (630*a^6*b^4*x^(4/3))/23 + (378*a^5*b^5*x^(5/3))/11 + 18*a^3*b^7*x^(7/3) + (135*a^2*b^8*x^(8/3))/19)/x^9","B"
2339,1,167,217,0.159382,"\text{Not used}","int(x^5*(a + b*x^(1/3))^15,x)","\frac{a^{15}\,x^6}{6}+\frac{b^{15}\,x^{11}}{11}+\frac{45\,a^{14}\,b\,x^{19/3}}{19}+\frac{45\,a\,b^{14}\,x^{32/3}}{32}+65\,a^{12}\,b^3\,x^7+\frac{5005\,a^9\,b^6\,x^8}{8}+\frac{5005\,a^6\,b^9\,x^9}{9}+\frac{91\,a^3\,b^{12}\,x^{10}}{2}+\frac{63\,a^{13}\,b^2\,x^{20/3}}{4}+\frac{4095\,a^{11}\,b^4\,x^{22/3}}{22}+\frac{9009\,a^{10}\,b^5\,x^{23/3}}{23}+\frac{3861\,a^8\,b^7\,x^{25/3}}{5}+\frac{1485\,a^7\,b^8\,x^{26/3}}{2}+\frac{1287\,a^5\,b^{10}\,x^{28/3}}{4}+\frac{4095\,a^4\,b^{11}\,x^{29/3}}{29}+\frac{315\,a^2\,b^{13}\,x^{31/3}}{31}","Not used",1,"(a^15*x^6)/6 + (b^15*x^11)/11 + (45*a^14*b*x^(19/3))/19 + (45*a*b^14*x^(32/3))/32 + 65*a^12*b^3*x^7 + (5005*a^9*b^6*x^8)/8 + (5005*a^6*b^9*x^9)/9 + (91*a^3*b^12*x^10)/2 + (63*a^13*b^2*x^(20/3))/4 + (4095*a^11*b^4*x^(22/3))/22 + (9009*a^10*b^5*x^(23/3))/23 + (3861*a^8*b^7*x^(25/3))/5 + (1485*a^7*b^8*x^(26/3))/2 + (1287*a^5*b^10*x^(28/3))/4 + (4095*a^4*b^11*x^(29/3))/29 + (315*a^2*b^13*x^(31/3))/31","B"
2340,1,167,217,0.155109,"\text{Not used}","int(x^4*(a + b*x^(1/3))^15,x)","\frac{a^{15}\,x^5}{5}+\frac{b^{15}\,x^{10}}{10}+\frac{45\,a^{14}\,b\,x^{16/3}}{16}+\frac{45\,a\,b^{14}\,x^{29/3}}{29}+\frac{455\,a^{12}\,b^3\,x^6}{6}+715\,a^9\,b^6\,x^7+\frac{5005\,a^6\,b^9\,x^8}{8}+\frac{455\,a^3\,b^{12}\,x^9}{9}+\frac{315\,a^{13}\,b^2\,x^{17/3}}{17}+\frac{4095\,a^{11}\,b^4\,x^{19/3}}{19}+\frac{9009\,a^{10}\,b^5\,x^{20/3}}{20}+\frac{1755\,a^8\,b^7\,x^{22/3}}{2}+\frac{19305\,a^7\,b^8\,x^{23/3}}{23}+\frac{9009\,a^5\,b^{10}\,x^{25/3}}{25}+\frac{315\,a^4\,b^{11}\,x^{26/3}}{2}+\frac{45\,a^2\,b^{13}\,x^{28/3}}{4}","Not used",1,"(a^15*x^5)/5 + (b^15*x^10)/10 + (45*a^14*b*x^(16/3))/16 + (45*a*b^14*x^(29/3))/29 + (455*a^12*b^3*x^6)/6 + 715*a^9*b^6*x^7 + (5005*a^6*b^9*x^8)/8 + (455*a^3*b^12*x^9)/9 + (315*a^13*b^2*x^(17/3))/17 + (4095*a^11*b^4*x^(19/3))/19 + (9009*a^10*b^5*x^(20/3))/20 + (1755*a^8*b^7*x^(22/3))/2 + (19305*a^7*b^8*x^(23/3))/23 + (9009*a^5*b^10*x^(25/3))/25 + (315*a^4*b^11*x^(26/3))/2 + (45*a^2*b^13*x^(28/3))/4","B"
2341,1,167,244,0.156143,"\text{Not used}","int(x^3*(a + b*x^(1/3))^15,x)","\frac{a^{15}\,x^4}{4}+\frac{b^{15}\,x^9}{9}+\frac{45\,a^{14}\,b\,x^{13/3}}{13}+\frac{45\,a\,b^{14}\,x^{26/3}}{26}+91\,a^{12}\,b^3\,x^5+\frac{5005\,a^9\,b^6\,x^6}{6}+715\,a^6\,b^9\,x^7+\frac{455\,a^3\,b^{12}\,x^8}{8}+\frac{45\,a^{13}\,b^2\,x^{14/3}}{2}+\frac{4095\,a^{11}\,b^4\,x^{16/3}}{16}+\frac{9009\,a^{10}\,b^5\,x^{17/3}}{17}+\frac{19305\,a^8\,b^7\,x^{19/3}}{19}+\frac{3861\,a^7\,b^8\,x^{20/3}}{4}+\frac{819\,a^5\,b^{10}\,x^{22/3}}{2}+\frac{4095\,a^4\,b^{11}\,x^{23/3}}{23}+\frac{63\,a^2\,b^{13}\,x^{25/3}}{5}","Not used",1,"(a^15*x^4)/4 + (b^15*x^9)/9 + (45*a^14*b*x^(13/3))/13 + (45*a*b^14*x^(26/3))/26 + 91*a^12*b^3*x^5 + (5005*a^9*b^6*x^6)/6 + 715*a^6*b^9*x^7 + (455*a^3*b^12*x^8)/8 + (45*a^13*b^2*x^(14/3))/2 + (4095*a^11*b^4*x^(16/3))/16 + (9009*a^10*b^5*x^(17/3))/17 + (19305*a^8*b^7*x^(19/3))/19 + (3861*a^7*b^8*x^(20/3))/4 + (819*a^5*b^10*x^(22/3))/2 + (4095*a^4*b^11*x^(23/3))/23 + (63*a^2*b^13*x^(25/3))/5","B"
2342,1,167,183,0.159713,"\text{Not used}","int(x^2*(a + b*x^(1/3))^15,x)","\frac{a^{15}\,x^3}{3}+\frac{b^{15}\,x^8}{8}+\frac{9\,a^{14}\,b\,x^{10/3}}{2}+\frac{45\,a\,b^{14}\,x^{23/3}}{23}+\frac{455\,a^{12}\,b^3\,x^4}{4}+1001\,a^9\,b^6\,x^5+\frac{5005\,a^6\,b^9\,x^6}{6}+65\,a^3\,b^{12}\,x^7+\frac{315\,a^{13}\,b^2\,x^{11/3}}{11}+315\,a^{11}\,b^4\,x^{13/3}+\frac{1287\,a^{10}\,b^5\,x^{14/3}}{2}+\frac{19305\,a^8\,b^7\,x^{16/3}}{16}+\frac{19305\,a^7\,b^8\,x^{17/3}}{17}+\frac{9009\,a^5\,b^{10}\,x^{19/3}}{19}+\frac{819\,a^4\,b^{11}\,x^{20/3}}{4}+\frac{315\,a^2\,b^{13}\,x^{22/3}}{22}","Not used",1,"(a^15*x^3)/3 + (b^15*x^8)/8 + (9*a^14*b*x^(10/3))/2 + (45*a*b^14*x^(23/3))/23 + (455*a^12*b^3*x^4)/4 + 1001*a^9*b^6*x^5 + (5005*a^6*b^9*x^6)/6 + 65*a^3*b^12*x^7 + (315*a^13*b^2*x^(11/3))/11 + 315*a^11*b^4*x^(13/3) + (1287*a^10*b^5*x^(14/3))/2 + (19305*a^8*b^7*x^(16/3))/16 + (19305*a^7*b^8*x^(17/3))/17 + (9009*a^5*b^10*x^(19/3))/19 + (819*a^4*b^11*x^(20/3))/4 + (315*a^2*b^13*x^(22/3))/22","B"
2343,1,167,122,0.156628,"\text{Not used}","int(x*(a + b*x^(1/3))^15,x)","\frac{a^{15}\,x^2}{2}+\frac{b^{15}\,x^7}{7}+\frac{45\,a^{14}\,b\,x^{7/3}}{7}+\frac{9\,a\,b^{14}\,x^{20/3}}{4}+\frac{455\,a^{12}\,b^3\,x^3}{3}+\frac{5005\,a^9\,b^6\,x^4}{4}+1001\,a^6\,b^9\,x^5+\frac{455\,a^3\,b^{12}\,x^6}{6}+\frac{315\,a^{13}\,b^2\,x^{8/3}}{8}+\frac{819\,a^{11}\,b^4\,x^{10/3}}{2}+819\,a^{10}\,b^5\,x^{11/3}+1485\,a^8\,b^7\,x^{13/3}+\frac{19305\,a^7\,b^8\,x^{14/3}}{14}+\frac{9009\,a^5\,b^{10}\,x^{16/3}}{16}+\frac{4095\,a^4\,b^{11}\,x^{17/3}}{17}+\frac{315\,a^2\,b^{13}\,x^{19/3}}{19}","Not used",1,"(a^15*x^2)/2 + (b^15*x^7)/7 + (45*a^14*b*x^(7/3))/7 + (9*a*b^14*x^(20/3))/4 + (455*a^12*b^3*x^3)/3 + (5005*a^9*b^6*x^4)/4 + 1001*a^6*b^9*x^5 + (455*a^3*b^12*x^6)/6 + (315*a^13*b^2*x^(8/3))/8 + (819*a^11*b^4*x^(10/3))/2 + 819*a^10*b^5*x^(11/3) + 1485*a^8*b^7*x^(13/3) + (19305*a^7*b^8*x^(14/3))/14 + (9009*a^5*b^10*x^(16/3))/16 + (4095*a^4*b^11*x^(17/3))/17 + (315*a^2*b^13*x^(19/3))/19","B"
2344,1,164,59,0.152589,"\text{Not used}","int((a + b*x^(1/3))^15,x)","a^{15}\,x+\frac{b^{15}\,x^6}{6}+\frac{45\,a^{14}\,b\,x^{4/3}}{4}+\frac{45\,a\,b^{14}\,x^{17/3}}{17}+\frac{455\,a^{12}\,b^3\,x^2}{2}+\frac{5005\,a^9\,b^6\,x^3}{3}+\frac{5005\,a^6\,b^9\,x^4}{4}+91\,a^3\,b^{12}\,x^5+63\,a^{13}\,b^2\,x^{5/3}+585\,a^{11}\,b^4\,x^{7/3}+\frac{9009\,a^{10}\,b^5\,x^{8/3}}{8}+\frac{3861\,a^8\,b^7\,x^{10/3}}{2}+1755\,a^7\,b^8\,x^{11/3}+693\,a^5\,b^{10}\,x^{13/3}+\frac{585\,a^4\,b^{11}\,x^{14/3}}{2}+\frac{315\,a^2\,b^{13}\,x^{16/3}}{16}","Not used",1,"a^15*x + (b^15*x^6)/6 + (45*a^14*b*x^(4/3))/4 + (45*a*b^14*x^(17/3))/17 + (455*a^12*b^3*x^2)/2 + (5005*a^9*b^6*x^3)/3 + (5005*a^6*b^9*x^4)/4 + 91*a^3*b^12*x^5 + 63*a^13*b^2*x^(5/3) + 585*a^11*b^4*x^(7/3) + (9009*a^10*b^5*x^(8/3))/8 + (3861*a^8*b^7*x^(10/3))/2 + 1755*a^7*b^8*x^(11/3) + 693*a^5*b^10*x^(13/3) + (585*a^4*b^11*x^(14/3))/2 + (315*a^2*b^13*x^(16/3))/16","B"
2345,1,166,209,0.159373,"\text{Not used}","int((a + b*x^(1/3))^15/x,x)","3\,a^{15}\,\ln\left(x^{1/3}\right)+\frac{b^{15}\,x^5}{5}+455\,a^{12}\,b^3\,x+45\,a^{14}\,b\,x^{1/3}+\frac{45\,a\,b^{14}\,x^{14/3}}{14}+\frac{5005\,a^9\,b^6\,x^2}{2}+\frac{5005\,a^6\,b^9\,x^3}{3}+\frac{455\,a^3\,b^{12}\,x^4}{4}+\frac{315\,a^{13}\,b^2\,x^{2/3}}{2}+\frac{4095\,a^{11}\,b^4\,x^{4/3}}{4}+\frac{9009\,a^{10}\,b^5\,x^{5/3}}{5}+\frac{19305\,a^8\,b^7\,x^{7/3}}{7}+\frac{19305\,a^7\,b^8\,x^{8/3}}{8}+\frac{9009\,a^5\,b^{10}\,x^{10/3}}{10}+\frac{4095\,a^4\,b^{11}\,x^{11/3}}{11}+\frac{315\,a^2\,b^{13}\,x^{13/3}}{13}","Not used",1,"3*a^15*log(x^(1/3)) + (b^15*x^5)/5 + 455*a^12*b^3*x + 45*a^14*b*x^(1/3) + (45*a*b^14*x^(14/3))/14 + (5005*a^9*b^6*x^2)/2 + (5005*a^6*b^9*x^3)/3 + (455*a^3*b^12*x^4)/4 + (315*a^13*b^2*x^(2/3))/2 + (4095*a^11*b^4*x^(4/3))/4 + (9009*a^10*b^5*x^(5/3))/5 + (19305*a^8*b^7*x^(7/3))/7 + (19305*a^7*b^8*x^(8/3))/8 + (9009*a^5*b^10*x^(10/3))/10 + (4095*a^4*b^11*x^(11/3))/11 + (315*a^2*b^13*x^(13/3))/13","B"
2346,1,167,202,1.192648,"\text{Not used}","int((a + b*x^(1/3))^15/x^2,x)","\frac{b^{15}\,x^4}{4}-\frac{a^{15}+\frac{45\,a^{14}\,b\,x^{1/3}}{2}+315\,a^{13}\,b^2\,x^{2/3}}{x}+1365\,a^{12}\,b^3\,\ln\left(x^{1/3}\right)+5005\,a^9\,b^6\,x+\frac{45\,a\,b^{14}\,x^{11/3}}{11}+\frac{5005\,a^6\,b^9\,x^2}{2}+\frac{455\,a^3\,b^{12}\,x^3}{3}+4095\,a^{11}\,b^4\,x^{1/3}+\frac{9009\,a^{10}\,b^5\,x^{2/3}}{2}+\frac{19305\,a^8\,b^7\,x^{4/3}}{4}+3861\,a^7\,b^8\,x^{5/3}+1287\,a^5\,b^{10}\,x^{7/3}+\frac{4095\,a^4\,b^{11}\,x^{8/3}}{8}+\frac{63\,a^2\,b^{13}\,x^{10/3}}{2}","Not used",1,"(b^15*x^4)/4 - (a^15 + (45*a^14*b*x^(1/3))/2 + 315*a^13*b^2*x^(2/3))/x + 1365*a^12*b^3*log(x^(1/3)) + 5005*a^9*b^6*x + (45*a*b^14*x^(11/3))/11 + (5005*a^6*b^9*x^2)/2 + (455*a^3*b^12*x^3)/3 + 4095*a^11*b^4*x^(1/3) + (9009*a^10*b^5*x^(2/3))/2 + (19305*a^8*b^7*x^(4/3))/4 + 3861*a^7*b^8*x^(5/3) + 1287*a^5*b^10*x^(7/3) + (4095*a^4*b^11*x^(8/3))/8 + (63*a^2*b^13*x^(10/3))/2","B"
2347,1,167,200,0.079889,"\text{Not used}","int((a + b*x^(1/3))^15/x^3,x)","\frac{b^{15}\,x^3}{3}-\frac{\frac{a^{15}}{2}+455\,a^{12}\,b^3\,x+9\,a^{14}\,b\,x^{1/3}+\frac{315\,a^{13}\,b^2\,x^{2/3}}{4}+\frac{4095\,a^{11}\,b^4\,x^{4/3}}{2}+9009\,a^{10}\,b^5\,x^{5/3}}{x^2}+15015\,a^9\,b^6\,\ln\left(x^{1/3}\right)+5005\,a^6\,b^9\,x+\frac{45\,a\,b^{14}\,x^{8/3}}{8}+\frac{455\,a^3\,b^{12}\,x^2}{2}+19305\,a^8\,b^7\,x^{1/3}+\frac{19305\,a^7\,b^8\,x^{2/3}}{2}+\frac{9009\,a^5\,b^{10}\,x^{4/3}}{4}+819\,a^4\,b^{11}\,x^{5/3}+45\,a^2\,b^{13}\,x^{7/3}","Not used",1,"(b^15*x^3)/3 - (a^15/2 + 455*a^12*b^3*x + 9*a^14*b*x^(1/3) + (315*a^13*b^2*x^(2/3))/4 + (4095*a^11*b^4*x^(4/3))/2 + 9009*a^10*b^5*x^(5/3))/x^2 + 15015*a^9*b^6*log(x^(1/3)) + 5005*a^6*b^9*x + (45*a*b^14*x^(8/3))/8 + (455*a^3*b^12*x^2)/2 + 19305*a^8*b^7*x^(1/3) + (19305*a^7*b^8*x^(2/3))/2 + (9009*a^5*b^10*x^(4/3))/4 + 819*a^4*b^11*x^(5/3) + 45*a^2*b^13*x^(7/3)","B"
2348,1,167,200,1.179487,"\text{Not used}","int((a + b*x^(1/3))^15/x^4,x)","\frac{b^{15}\,x^2}{2}-\frac{\frac{a^{15}}{3}+\frac{455\,a^{12}\,b^3\,x}{2}+\frac{45\,a^{14}\,b\,x^{1/3}}{8}+5005\,a^9\,b^6\,x^2+45\,a^{13}\,b^2\,x^{2/3}+819\,a^{11}\,b^4\,x^{4/3}+\frac{9009\,a^{10}\,b^5\,x^{5/3}}{4}+\frac{19305\,a^8\,b^7\,x^{7/3}}{2}+19305\,a^7\,b^8\,x^{8/3}}{x^3}+15015\,a^6\,b^9\,\ln\left(x^{1/3}\right)+455\,a^3\,b^{12}\,x+9\,a\,b^{14}\,x^{5/3}+9009\,a^5\,b^{10}\,x^{1/3}+\frac{4095\,a^4\,b^{11}\,x^{2/3}}{2}+\frac{315\,a^2\,b^{13}\,x^{4/3}}{4}","Not used",1,"(b^15*x^2)/2 - (a^15/3 + (455*a^12*b^3*x)/2 + (45*a^14*b*x^(1/3))/8 + 5005*a^9*b^6*x^2 + 45*a^13*b^2*x^(2/3) + 819*a^11*b^4*x^(4/3) + (9009*a^10*b^5*x^(5/3))/4 + (19305*a^8*b^7*x^(7/3))/2 + 19305*a^7*b^8*x^(8/3))/x^3 + 15015*a^6*b^9*log(x^(1/3)) + 455*a^3*b^12*x + 9*a*b^14*x^(5/3) + 9009*a^5*b^10*x^(1/3) + (4095*a^4*b^11*x^(2/3))/2 + (315*a^2*b^13*x^(4/3))/4","B"
2349,1,168,211,1.279930,"\text{Not used}","int((a + b*x^(1/3))^15/x^6,x)","3\,b^{15}\,\ln\left(x^{1/3}\right)-\frac{a^{15}}{5\,x^5}-\frac{45\,a\,b^{14}}{x^{1/3}}-\frac{45\,a^{14}\,b}{14\,x^{14/3}}-\frac{455\,a^3\,b^{12}}{x}-\frac{5005\,a^6\,b^9}{2\,x^2}-\frac{5005\,a^9\,b^6}{3\,x^3}-\frac{455\,a^{12}\,b^3}{4\,x^4}-\frac{315\,a^2\,b^{13}}{2\,x^{2/3}}-\frac{4095\,a^4\,b^{11}}{4\,x^{4/3}}-\frac{9009\,a^5\,b^{10}}{5\,x^{5/3}}-\frac{19305\,a^7\,b^8}{7\,x^{7/3}}-\frac{19305\,a^8\,b^7}{8\,x^{8/3}}-\frac{9009\,a^{10}\,b^5}{10\,x^{10/3}}-\frac{4095\,a^{11}\,b^4}{11\,x^{11/3}}-\frac{315\,a^{13}\,b^2}{13\,x^{13/3}}","Not used",1,"3*b^15*log(x^(1/3)) - a^15/(5*x^5) - (45*a*b^14)/x^(1/3) - (45*a^14*b)/(14*x^(14/3)) - (455*a^3*b^12)/x - (5005*a^6*b^9)/(2*x^2) - (5005*a^9*b^6)/(3*x^3) - (455*a^12*b^3)/(4*x^4) - (315*a^2*b^13)/(2*x^(2/3)) - (4095*a^4*b^11)/(4*x^(4/3)) - (9009*a^5*b^10)/(5*x^(5/3)) - (19305*a^7*b^8)/(7*x^(7/3)) - (19305*a^8*b^7)/(8*x^(8/3)) - (9009*a^10*b^5)/(10*x^(10/3)) - (4095*a^11*b^4)/(11*x^(11/3)) - (315*a^13*b^2)/(13*x^(13/3))","B"
2350,1,166,72,0.192593,"\text{Not used}","int((a + b*x^(1/3))^15/x^7,x)","-\frac{\frac{a^{15}}{6}+b^{15}\,x^5+91\,a^{12}\,b^3\,x+\frac{45\,a^{14}\,b\,x^{1/3}}{17}+\frac{45\,a\,b^{14}\,x^{14/3}}{4}+\frac{5005\,a^9\,b^6\,x^2}{4}+\frac{5005\,a^6\,b^9\,x^3}{3}+\frac{455\,a^3\,b^{12}\,x^4}{2}+\frac{315\,a^{13}\,b^2\,x^{2/3}}{16}+\frac{585\,a^{11}\,b^4\,x^{4/3}}{2}+693\,a^{10}\,b^5\,x^{5/3}+1755\,a^8\,b^7\,x^{7/3}+\frac{3861\,a^7\,b^8\,x^{8/3}}{2}+\frac{9009\,a^5\,b^{10}\,x^{10/3}}{8}+585\,a^4\,b^{11}\,x^{11/3}+63\,a^2\,b^{13}\,x^{13/3}}{x^6}","Not used",1,"-(a^15/6 + b^15*x^5 + 91*a^12*b^3*x + (45*a^14*b*x^(1/3))/17 + (45*a*b^14*x^(14/3))/4 + (5005*a^9*b^6*x^2)/4 + (5005*a^6*b^9*x^3)/3 + (455*a^3*b^12*x^4)/2 + (315*a^13*b^2*x^(2/3))/16 + (585*a^11*b^4*x^(4/3))/2 + 693*a^10*b^5*x^(5/3) + 1755*a^8*b^7*x^(7/3) + (3861*a^7*b^8*x^(8/3))/2 + (9009*a^5*b^10*x^(10/3))/8 + 585*a^4*b^11*x^(11/3) + 63*a^2*b^13*x^(13/3))/x^6","B"
2351,1,167,148,1.343277,"\text{Not used}","int((a + b*x^(1/3))^15/x^8,x)","-\frac{\frac{a^{15}}{7}+\frac{b^{15}\,x^5}{2}+\frac{455\,a^{12}\,b^3\,x}{6}+\frac{9\,a^{14}\,b\,x^{1/3}}{4}+\frac{45\,a\,b^{14}\,x^{14/3}}{7}+1001\,a^9\,b^6\,x^2+\frac{5005\,a^6\,b^9\,x^3}{4}+\frac{455\,a^3\,b^{12}\,x^4}{3}+\frac{315\,a^{13}\,b^2\,x^{2/3}}{19}+\frac{4095\,a^{11}\,b^4\,x^{4/3}}{17}+\frac{9009\,a^{10}\,b^5\,x^{5/3}}{16}+\frac{19305\,a^8\,b^7\,x^{7/3}}{14}+1485\,a^7\,b^8\,x^{8/3}+819\,a^5\,b^{10}\,x^{10/3}+\frac{819\,a^4\,b^{11}\,x^{11/3}}{2}+\frac{315\,a^2\,b^{13}\,x^{13/3}}{8}}{x^7}","Not used",1,"-(a^15/7 + (b^15*x^5)/2 + (455*a^12*b^3*x)/6 + (9*a^14*b*x^(1/3))/4 + (45*a*b^14*x^(14/3))/7 + 1001*a^9*b^6*x^2 + (5005*a^6*b^9*x^3)/4 + (455*a^3*b^12*x^4)/3 + (315*a^13*b^2*x^(2/3))/19 + (4095*a^11*b^4*x^(4/3))/17 + (9009*a^10*b^5*x^(5/3))/16 + (19305*a^8*b^7*x^(7/3))/14 + 1485*a^7*b^8*x^(8/3) + 819*a^5*b^10*x^(10/3) + (819*a^4*b^11*x^(11/3))/2 + (315*a^2*b^13*x^(13/3))/8)/x^7","B"
2352,1,167,224,0.196633,"\text{Not used}","int((a + b*x^(1/3))^15/x^9,x)","-\frac{\frac{a^{15}}{8}+\frac{b^{15}\,x^5}{3}+65\,a^{12}\,b^3\,x+\frac{45\,a^{14}\,b\,x^{1/3}}{23}+\frac{9\,a\,b^{14}\,x^{14/3}}{2}+\frac{5005\,a^9\,b^6\,x^2}{6}+1001\,a^6\,b^9\,x^3+\frac{455\,a^3\,b^{12}\,x^4}{4}+\frac{315\,a^{13}\,b^2\,x^{2/3}}{22}+\frac{819\,a^{11}\,b^4\,x^{4/3}}{4}+\frac{9009\,a^{10}\,b^5\,x^{5/3}}{19}+\frac{19305\,a^8\,b^7\,x^{7/3}}{17}+\frac{19305\,a^7\,b^8\,x^{8/3}}{16}+\frac{1287\,a^5\,b^{10}\,x^{10/3}}{2}+315\,a^4\,b^{11}\,x^{11/3}+\frac{315\,a^2\,b^{13}\,x^{13/3}}{11}}{x^8}","Not used",1,"-(a^15/8 + (b^15*x^5)/3 + 65*a^12*b^3*x + (45*a^14*b*x^(1/3))/23 + (9*a*b^14*x^(14/3))/2 + (5005*a^9*b^6*x^2)/6 + 1001*a^6*b^9*x^3 + (455*a^3*b^12*x^4)/4 + (315*a^13*b^2*x^(2/3))/22 + (819*a^11*b^4*x^(4/3))/4 + (9009*a^10*b^5*x^(5/3))/19 + (19305*a^8*b^7*x^(7/3))/17 + (19305*a^7*b^8*x^(8/3))/16 + (1287*a^5*b^10*x^(10/3))/2 + 315*a^4*b^11*x^(11/3) + (315*a^2*b^13*x^(13/3))/11)/x^8","B"
2353,1,167,215,0.195432,"\text{Not used}","int((a + b*x^(1/3))^15/x^10,x)","-\frac{\frac{a^{15}}{9}+\frac{b^{15}\,x^5}{4}+\frac{455\,a^{12}\,b^3\,x}{8}+\frac{45\,a^{14}\,b\,x^{1/3}}{26}+\frac{45\,a\,b^{14}\,x^{14/3}}{13}+715\,a^9\,b^6\,x^2+\frac{5005\,a^6\,b^9\,x^3}{6}+91\,a^3\,b^{12}\,x^4+\frac{63\,a^{13}\,b^2\,x^{2/3}}{5}+\frac{4095\,a^{11}\,b^4\,x^{4/3}}{23}+\frac{819\,a^{10}\,b^5\,x^{5/3}}{2}+\frac{3861\,a^8\,b^7\,x^{7/3}}{4}+\frac{19305\,a^7\,b^8\,x^{8/3}}{19}+\frac{9009\,a^5\,b^{10}\,x^{10/3}}{17}+\frac{4095\,a^4\,b^{11}\,x^{11/3}}{16}+\frac{45\,a^2\,b^{13}\,x^{13/3}}{2}}{x^9}","Not used",1,"-(a^15/9 + (b^15*x^5)/4 + (455*a^12*b^3*x)/8 + (45*a^14*b*x^(1/3))/26 + (45*a*b^14*x^(14/3))/13 + 715*a^9*b^6*x^2 + (5005*a^6*b^9*x^3)/6 + 91*a^3*b^12*x^4 + (63*a^13*b^2*x^(2/3))/5 + (4095*a^11*b^4*x^(4/3))/23 + (819*a^10*b^5*x^(5/3))/2 + (3861*a^8*b^7*x^(7/3))/4 + (19305*a^7*b^8*x^(8/3))/19 + (9009*a^5*b^10*x^(10/3))/17 + (4095*a^4*b^11*x^(11/3))/16 + (45*a^2*b^13*x^(13/3))/2)/x^9","B"
2354,1,167,217,0.188395,"\text{Not used}","int((a + b*x^(1/3))^15/x^11,x)","-\frac{\frac{a^{15}}{10}+\frac{b^{15}\,x^5}{5}+\frac{455\,a^{12}\,b^3\,x}{9}+\frac{45\,a^{14}\,b\,x^{1/3}}{29}+\frac{45\,a\,b^{14}\,x^{14/3}}{16}+\frac{5005\,a^9\,b^6\,x^2}{8}+715\,a^6\,b^9\,x^3+\frac{455\,a^3\,b^{12}\,x^4}{6}+\frac{45\,a^{13}\,b^2\,x^{2/3}}{4}+\frac{315\,a^{11}\,b^4\,x^{4/3}}{2}+\frac{9009\,a^{10}\,b^5\,x^{5/3}}{25}+\frac{19305\,a^8\,b^7\,x^{7/3}}{23}+\frac{1755\,a^7\,b^8\,x^{8/3}}{2}+\frac{9009\,a^5\,b^{10}\,x^{10/3}}{20}+\frac{4095\,a^4\,b^{11}\,x^{11/3}}{19}+\frac{315\,a^2\,b^{13}\,x^{13/3}}{17}}{x^{10}}","Not used",1,"-(a^15/10 + (b^15*x^5)/5 + (455*a^12*b^3*x)/9 + (45*a^14*b*x^(1/3))/29 + (45*a*b^14*x^(14/3))/16 + (5005*a^9*b^6*x^2)/8 + 715*a^6*b^9*x^3 + (455*a^3*b^12*x^4)/6 + (45*a^13*b^2*x^(2/3))/4 + (315*a^11*b^4*x^(4/3))/2 + (9009*a^10*b^5*x^(5/3))/25 + (19305*a^8*b^7*x^(7/3))/23 + (1755*a^7*b^8*x^(8/3))/2 + (9009*a^5*b^10*x^(10/3))/20 + (4095*a^4*b^11*x^(11/3))/19 + (315*a^2*b^13*x^(13/3))/17)/x^10","B"
2355,1,167,217,1.275622,"\text{Not used}","int((a + b*x^(1/3))^15/x^12,x)","-\frac{\frac{a^{15}}{11}+\frac{b^{15}\,x^5}{6}+\frac{91\,a^{12}\,b^3\,x}{2}+\frac{45\,a^{14}\,b\,x^{1/3}}{32}+\frac{45\,a\,b^{14}\,x^{14/3}}{19}+\frac{5005\,a^9\,b^6\,x^2}{9}+\frac{5005\,a^6\,b^9\,x^3}{8}+65\,a^3\,b^{12}\,x^4+\frac{315\,a^{13}\,b^2\,x^{2/3}}{31}+\frac{4095\,a^{11}\,b^4\,x^{4/3}}{29}+\frac{1287\,a^{10}\,b^5\,x^{5/3}}{4}+\frac{1485\,a^8\,b^7\,x^{7/3}}{2}+\frac{3861\,a^7\,b^8\,x^{8/3}}{5}+\frac{9009\,a^5\,b^{10}\,x^{10/3}}{23}+\frac{4095\,a^4\,b^{11}\,x^{11/3}}{22}+\frac{63\,a^2\,b^{13}\,x^{13/3}}{4}}{x^{11}}","Not used",1,"-(a^15/11 + (b^15*x^5)/6 + (91*a^12*b^3*x)/2 + (45*a^14*b*x^(1/3))/32 + (45*a*b^14*x^(14/3))/19 + (5005*a^9*b^6*x^2)/9 + (5005*a^6*b^9*x^3)/8 + 65*a^3*b^12*x^4 + (315*a^13*b^2*x^(2/3))/31 + (4095*a^11*b^4*x^(4/3))/29 + (1287*a^10*b^5*x^(5/3))/4 + (1485*a^8*b^7*x^(7/3))/2 + (3861*a^7*b^8*x^(8/3))/5 + (9009*a^5*b^10*x^(10/3))/23 + (4095*a^4*b^11*x^(11/3))/22 + (63*a^2*b^13*x^(13/3))/4)/x^11","B"
2356,1,130,166,0.070521,"\text{Not used}","int(x^3/(a + b*x^(1/3)),x)","\frac{3\,x^{11/3}}{11\,b}-\frac{3\,a\,x^{10/3}}{10\,b^2}+\frac{a^8\,x}{b^9}-\frac{3\,a^{11}\,\ln\left(a+b\,x^{1/3}\right)}{b^{12}}+\frac{a^2\,x^3}{3\,b^3}-\frac{a^5\,x^2}{2\,b^6}-\frac{3\,a^3\,x^{8/3}}{8\,b^4}+\frac{3\,a^4\,x^{7/3}}{7\,b^5}+\frac{3\,a^6\,x^{5/3}}{5\,b^7}-\frac{3\,a^7\,x^{4/3}}{4\,b^8}-\frac{3\,a^9\,x^{2/3}}{2\,b^{10}}+\frac{3\,a^{10}\,x^{1/3}}{b^{11}}","Not used",1,"(3*x^(11/3))/(11*b) - (3*a*x^(10/3))/(10*b^2) + (a^8*x)/b^9 - (3*a^11*log(a + b*x^(1/3)))/b^12 + (a^2*x^3)/(3*b^3) - (a^5*x^2)/(2*b^6) - (3*a^3*x^(8/3))/(8*b^4) + (3*a^4*x^(7/3))/(7*b^5) + (3*a^6*x^(5/3))/(5*b^7) - (3*a^7*x^(4/3))/(4*b^8) - (3*a^9*x^(2/3))/(2*b^10) + (3*a^10*x^(1/3))/b^11","B"
2357,1,98,124,0.041112,"\text{Not used}","int(x^2/(a + b*x^(1/3)),x)","\frac{3\,x^{8/3}}{8\,b}-\frac{a^5\,x}{b^6}-\frac{3\,a\,x^{7/3}}{7\,b^2}+\frac{3\,a^8\,\ln\left(a+b\,x^{1/3}\right)}{b^9}+\frac{a^2\,x^2}{2\,b^3}-\frac{3\,a^3\,x^{5/3}}{5\,b^4}+\frac{3\,a^4\,x^{4/3}}{4\,b^5}+\frac{3\,a^6\,x^{2/3}}{2\,b^7}-\frac{3\,a^7\,x^{1/3}}{b^8}","Not used",1,"(3*x^(8/3))/(8*b) - (a^5*x)/b^6 - (3*a*x^(7/3))/(7*b^2) + (3*a^8*log(a + b*x^(1/3)))/b^9 + (a^2*x^2)/(2*b^3) - (3*a^3*x^(5/3))/(5*b^4) + (3*a^4*x^(4/3))/(4*b^5) + (3*a^6*x^(2/3))/(2*b^7) - (3*a^7*x^(1/3))/b^8","B"
2358,1,64,80,0.030560,"\text{Not used}","int(x/(a + b*x^(1/3)),x)","\frac{3\,x^{5/3}}{5\,b}+\frac{a^2\,x}{b^3}-\frac{3\,a\,x^{4/3}}{4\,b^2}-\frac{3\,a^5\,\ln\left(a+b\,x^{1/3}\right)}{b^6}-\frac{3\,a^3\,x^{2/3}}{2\,b^4}+\frac{3\,a^4\,x^{1/3}}{b^5}","Not used",1,"(3*x^(5/3))/(5*b) + (a^2*x)/b^3 - (3*a*x^(4/3))/(4*b^2) - (3*a^5*log(a + b*x^(1/3)))/b^6 - (3*a^3*x^(2/3))/(2*b^4) + (3*a^4*x^(1/3))/b^5","B"
2359,1,34,42,0.042565,"\text{Not used}","int(1/(a + b*x^(1/3)),x)","\frac{6\,a^2\,\ln\left(a+b\,x^{1/3}\right)+3\,b^2\,x^{2/3}-6\,a\,b\,x^{1/3}}{2\,b^3}","Not used",1,"(6*a^2*log(a + b*x^(1/3)) + 3*b^2*x^(2/3) - 6*a*b*x^(1/3))/(2*b^3)","B"
2360,1,17,22,1.210482,"\text{Not used}","int(1/(x*(a + b*x^(1/3))),x)","-\frac{6\,\mathrm{atanh}\left(\frac{2\,b\,x^{1/3}}{a}+1\right)}{a}","Not used",1,"-(6*atanh((2*b*x^(1/3))/a + 1))/a","B"
2361,1,50,63,0.067458,"\text{Not used}","int(1/(x^2*(a + b*x^(1/3))),x)","\frac{6\,b^3\,\mathrm{atanh}\left(\frac{2\,b\,x^{1/3}}{a}+1\right)}{a^4}-\frac{\frac{1}{a}-\frac{3\,b\,x^{1/3}}{2\,a^2}+\frac{3\,b^2\,x^{2/3}}{a^3}}{x}","Not used",1,"(6*b^3*atanh((2*b*x^(1/3))/a + 1))/a^4 - (1/a - (3*b*x^(1/3))/(2*a^2) + (3*b^2*x^(2/3))/a^3)/x","B"
2362,1,83,104,0.063140,"\text{Not used}","int(1/(x^3*(a + b*x^(1/3))),x)","-\frac{\frac{1}{2\,a}-\frac{3\,b\,x^{1/3}}{5\,a^2}-\frac{b^3\,x}{a^4}+\frac{3\,b^2\,x^{2/3}}{4\,a^3}+\frac{3\,b^4\,x^{4/3}}{2\,a^5}-\frac{3\,b^5\,x^{5/3}}{a^6}}{x^2}-\frac{6\,b^6\,\mathrm{atanh}\left(\frac{2\,b\,x^{1/3}}{a}+1\right)}{a^7}","Not used",1,"- (1/(2*a) - (3*b*x^(1/3))/(5*a^2) - (b^3*x)/a^4 + (3*b^2*x^(2/3))/(4*a^3) + (3*b^4*x^(4/3))/(2*a^5) - (3*b^5*x^(5/3))/a^6)/x^2 - (6*b^6*atanh((2*b*x^(1/3))/a + 1))/a^7","B"
2363,1,116,149,1.164976,"\text{Not used}","int(1/(x^4*(a + b*x^(1/3))),x)","-\frac{280\,a^9-5040\,b^9\,x^3\,\mathrm{atanh}\left(\frac{2\,b\,x^{1/3}}{a}+1\right)-420\,a^6\,b^3\,x-315\,a^8\,b\,x^{1/3}+2520\,a\,b^8\,x^{8/3}+840\,a^3\,b^6\,x^2+360\,a^7\,b^2\,x^{2/3}+504\,a^5\,b^4\,x^{4/3}-630\,a^4\,b^5\,x^{5/3}-1260\,a^2\,b^7\,x^{7/3}}{840\,a^{10}\,x^3}","Not used",1,"-(280*a^9 - 5040*b^9*x^3*atanh((2*b*x^(1/3))/a + 1) - 420*a^6*b^3*x - 315*a^8*b*x^(1/3) + 2520*a*b^8*x^(8/3) + 840*a^3*b^6*x^2 + 360*a^7*b^2*x^(2/3) + 504*a^5*b^4*x^(4/3) - 630*a^4*b^5*x^(5/3) - 1260*a^2*b^7*x^(7/3))/(840*a^10*x^3)","B"
2364,1,10,21,0.047288,"\text{Not used}","int(1/(x*(b*x^(1/3) + 2)),x)","-3\,\mathrm{atanh}\left(b\,x^{1/3}+1\right)","Not used",1,"-3*atanh(b*x^(1/3) + 1)","B"
2365,1,143,171,0.078708,"\text{Not used}","int(x^3/(a + b*x^(1/3))^2,x)","\frac{3\,x^{10/3}}{10\,b^2}+\frac{3\,a^{11}}{b\,\left(a\,b^{11}+b^{12}\,x^{1/3}\right)}-\frac{2\,a\,x^3}{3\,b^3}-\frac{8\,a^7\,x}{b^9}+\frac{33\,a^{10}\,\ln\left(a+b\,x^{1/3}\right)}{b^{12}}+\frac{5\,a^4\,x^2}{2\,b^6}+\frac{9\,a^2\,x^{8/3}}{8\,b^4}-\frac{12\,a^3\,x^{7/3}}{7\,b^5}-\frac{18\,a^5\,x^{5/3}}{5\,b^7}+\frac{21\,a^6\,x^{4/3}}{4\,b^8}+\frac{27\,a^8\,x^{2/3}}{2\,b^{10}}-\frac{30\,a^9\,x^{1/3}}{b^{11}}","Not used",1,"(3*x^(10/3))/(10*b^2) + (3*a^11)/(b*(a*b^11 + b^12*x^(1/3))) - (2*a*x^3)/(3*b^3) - (8*a^7*x)/b^9 + (33*a^10*log(a + b*x^(1/3)))/b^12 + (5*a^4*x^2)/(2*b^6) + (9*a^2*x^(8/3))/(8*b^4) - (12*a^3*x^(7/3))/(7*b^5) - (18*a^5*x^(5/3))/(5*b^7) + (21*a^6*x^(4/3))/(4*b^8) + (27*a^8*x^(2/3))/(2*b^10) - (30*a^9*x^(1/3))/b^11","B"
2366,1,110,122,0.046924,"\text{Not used}","int(x^2/(a + b*x^(1/3))^2,x)","\frac{3\,x^{7/3}}{7\,b^2}-\frac{3\,a^8}{b\,\left(a\,b^8+b^9\,x^{1/3}\right)}-\frac{a\,x^2}{b^3}+\frac{5\,a^4\,x}{b^6}-\frac{24\,a^7\,\ln\left(a+b\,x^{1/3}\right)}{b^9}+\frac{9\,a^2\,x^{5/3}}{5\,b^4}-\frac{3\,a^3\,x^{4/3}}{b^5}-\frac{9\,a^5\,x^{2/3}}{b^7}+\frac{21\,a^6\,x^{1/3}}{b^8}","Not used",1,"(3*x^(7/3))/(7*b^2) - (3*a^8)/(b*(a*b^8 + b^9*x^(1/3))) - (a*x^2)/b^3 + (5*a^4*x)/b^6 - (24*a^7*log(a + b*x^(1/3)))/b^9 + (9*a^2*x^(5/3))/(5*b^4) - (3*a^3*x^(4/3))/b^5 - (9*a^5*x^(2/3))/b^7 + (21*a^6*x^(1/3))/b^8","B"
2367,1,77,85,1.124540,"\text{Not used}","int(x/(a + b*x^(1/3))^2,x)","\frac{3\,x^{4/3}}{4\,b^2}+\frac{3\,a^5}{b\,\left(a\,b^5+b^6\,x^{1/3}\right)}+\frac{15\,a^4\,\ln\left(a+b\,x^{1/3}\right)}{b^6}+\frac{9\,a^2\,x^{2/3}}{2\,b^4}-\frac{12\,a^3\,x^{1/3}}{b^5}-\frac{2\,a\,x}{b^3}","Not used",1,"(3*x^(4/3))/(4*b^2) + (3*a^5)/(b*(a*b^5 + b^6*x^(1/3))) + (15*a^4*log(a + b*x^(1/3)))/b^6 + (9*a^2*x^(2/3))/(2*b^4) - (12*a^3*x^(1/3))/b^5 - (2*a*x)/b^3","B"
2368,1,43,46,0.035813,"\text{Not used}","int(1/(a + b*x^(1/3))^2,x)","\frac{3\,x^{1/3}}{b^2}-\frac{3\,a^2}{a\,b^3+b^4\,x^{1/3}}-\frac{6\,a\,\ln\left(a+b\,x^{1/3}\right)}{b^3}","Not used",1,"(3*x^(1/3))/b^2 - (3*a^2)/(a*b^3 + b^4*x^(1/3)) - (6*a*log(a + b*x^(1/3)))/b^3","B"
2369,1,32,38,0.051828,"\text{Not used}","int(1/(x*(a + b*x^(1/3))^2),x)","\frac{3}{a\,\left(a+b\,x^{1/3}\right)}-\frac{6\,\mathrm{atanh}\left(\frac{2\,b\,x^{1/3}}{a}+1\right)}{a^2}","Not used",1,"3/(a*(a + b*x^(1/3))) - (6*atanh((2*b*x^(1/3))/a + 1))/a^2","B"
2370,1,67,80,1.158852,"\text{Not used}","int(1/(x^2*(a + b*x^(1/3))^2),x)","\frac{24\,b^3\,\mathrm{atanh}\left(\frac{2\,b\,x^{1/3}}{a}+1\right)}{a^5}-\frac{\frac{1}{a}-\frac{2\,b\,x^{1/3}}{a^2}+\frac{12\,b^3\,x}{a^4}+\frac{6\,b^2\,x^{2/3}}{a^3}}{a\,x+b\,x^{4/3}}","Not used",1,"(24*b^3*atanh((2*b*x^(1/3))/a + 1))/a^5 - (1/a - (2*b*x^(1/3))/a^2 + (12*b^3*x)/a^4 + (6*b^2*x^(2/3))/a^3)/(a*x + b*x^(4/3))","B"
2371,1,103,125,1.164415,"\text{Not used}","int(1/(x^3*(a + b*x^(1/3))^2),x)","\frac{\frac{7\,b\,x^{1/3}}{10\,a^2}-\frac{1}{2\,a}+\frac{7\,b^3\,x}{4\,a^4}-\frac{21\,b^2\,x^{2/3}}{20\,a^3}+\frac{21\,b^6\,x^2}{a^7}-\frac{7\,b^4\,x^{4/3}}{2\,a^5}+\frac{21\,b^5\,x^{5/3}}{2\,a^6}}{a\,x^2+b\,x^{7/3}}-\frac{42\,b^6\,\mathrm{atanh}\left(\frac{2\,b\,x^{1/3}}{a}+1\right)}{a^8}","Not used",1,"((7*b*x^(1/3))/(10*a^2) - 1/(2*a) + (7*b^3*x)/(4*a^4) - (21*b^2*x^(2/3))/(20*a^3) + (21*b^6*x^2)/a^7 - (7*b^4*x^(4/3))/(2*a^5) + (21*b^5*x^(5/3))/(2*a^6))/(a*x^2 + b*x^(7/3)) - (42*b^6*atanh((2*b*x^(1/3))/a + 1))/a^8","B"
2372,1,136,162,0.090027,"\text{Not used}","int(1/(x^4*(a + b*x^(1/3))^2),x)","\frac{60\,b^9\,\mathrm{atanh}\left(\frac{2\,b\,x^{1/3}}{a}+1\right)}{a^{11}}-\frac{\frac{1}{3\,a}-\frac{5\,b\,x^{1/3}}{12\,a^2}-\frac{5\,b^3\,x}{7\,a^4}+\frac{15\,b^2\,x^{2/3}}{28\,a^3}+\frac{5\,b^6\,x^2}{2\,a^7}+\frac{b^4\,x^{4/3}}{a^5}-\frac{3\,b^5\,x^{5/3}}{2\,a^6}+\frac{30\,b^9\,x^3}{a^{10}}-\frac{5\,b^7\,x^{7/3}}{a^8}+\frac{15\,b^8\,x^{8/3}}{a^9}}{a\,x^3+b\,x^{10/3}}","Not used",1,"(60*b^9*atanh((2*b*x^(1/3))/a + 1))/a^11 - (1/(3*a) - (5*b*x^(1/3))/(12*a^2) - (5*b^3*x)/(7*a^4) + (15*b^2*x^(2/3))/(28*a^3) + (5*b^6*x^2)/(2*a^7) + (b^4*x^(4/3))/a^5 - (3*b^5*x^(5/3))/(2*a^6) + (30*b^9*x^3)/a^10 - (5*b^7*x^(7/3))/a^8 + (15*b^8*x^(8/3))/a^9)/(a*x^3 + b*x^(10/3))","B"
2373,1,154,171,0.069977,"\text{Not used}","int(x^3/(a + b*x^(1/3))^3,x)","\frac{x^3}{3\,b^3}-\frac{\frac{63\,a^{11}}{2\,b}+33\,a^{10}\,x^{1/3}}{a^2\,b^{11}+b^{13}\,x^{2/3}+2\,a\,b^{12}\,x^{1/3}}-\frac{9\,a\,x^{8/3}}{8\,b^4}+\frac{28\,a^6\,x}{b^9}-\frac{165\,a^9\,\ln\left(a+b\,x^{1/3}\right)}{b^{12}}-\frac{5\,a^3\,x^2}{b^6}+\frac{18\,a^2\,x^{7/3}}{7\,b^5}+\frac{9\,a^4\,x^{5/3}}{b^7}-\frac{63\,a^5\,x^{4/3}}{4\,b^8}-\frac{54\,a^7\,x^{2/3}}{b^{10}}+\frac{135\,a^8\,x^{1/3}}{b^{11}}","Not used",1,"x^3/(3*b^3) - ((63*a^11)/(2*b) + 33*a^10*x^(1/3))/(a^2*b^11 + b^13*x^(2/3) + 2*a*b^12*x^(1/3)) - (9*a*x^(8/3))/(8*b^4) + (28*a^6*x)/b^9 - (165*a^9*log(a + b*x^(1/3)))/b^12 - (5*a^3*x^2)/b^6 + (18*a^2*x^(7/3))/(7*b^5) + (9*a^4*x^(5/3))/b^7 - (63*a^5*x^(4/3))/(4*b^8) - (54*a^7*x^(2/3))/b^10 + (135*a^8*x^(1/3))/b^11","B"
2374,1,120,134,0.045621,"\text{Not used}","int(x^2/(a + b*x^(1/3))^3,x)","\frac{\frac{45\,a^8}{2\,b}+24\,a^7\,x^{1/3}}{a^2\,b^8+b^{10}\,x^{2/3}+2\,a\,b^9\,x^{1/3}}+\frac{x^2}{2\,b^3}-\frac{10\,a^3\,x}{b^6}-\frac{9\,a\,x^{5/3}}{5\,b^4}+\frac{84\,a^6\,\ln\left(a+b\,x^{1/3}\right)}{b^9}+\frac{9\,a^2\,x^{4/3}}{2\,b^5}+\frac{45\,a^4\,x^{2/3}}{2\,b^7}-\frac{63\,a^5\,x^{1/3}}{b^8}","Not used",1,"((45*a^8)/(2*b) + 24*a^7*x^(1/3))/(a^2*b^8 + b^10*x^(2/3) + 2*a*b^9*x^(1/3)) + x^2/(2*b^3) - (10*a^3*x)/b^6 - (9*a*x^(5/3))/(5*b^4) + (84*a^6*log(a + b*x^(1/3)))/b^9 + (9*a^2*x^(4/3))/(2*b^5) + (45*a^4*x^(2/3))/(2*b^7) - (63*a^5*x^(1/3))/b^8","B"
2375,1,87,90,0.036238,"\text{Not used}","int(x/(a + b*x^(1/3))^3,x)","\frac{x}{b^3}-\frac{\frac{27\,a^5}{2\,b}+15\,a^4\,x^{1/3}}{a^2\,b^5+b^7\,x^{2/3}+2\,a\,b^6\,x^{1/3}}-\frac{9\,a\,x^{2/3}}{2\,b^4}-\frac{30\,a^3\,\ln\left(a+b\,x^{1/3}\right)}{b^6}+\frac{18\,a^2\,x^{1/3}}{b^5}","Not used",1,"x/b^3 - ((27*a^5)/(2*b) + 15*a^4*x^(1/3))/(a^2*b^5 + b^7*x^(2/3) + 2*a*b^6*x^(1/3)) - (9*a*x^(2/3))/(2*b^4) - (30*a^3*log(a + b*x^(1/3)))/b^6 + (18*a^2*x^(1/3))/b^5","B"
2376,1,53,54,1.139303,"\text{Not used}","int(1/(a + b*x^(1/3))^3,x)","\frac{\frac{9\,a^2}{2\,b^3}+\frac{6\,a\,x^{1/3}}{b^2}}{a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}}+\frac{3\,\ln\left(a+b\,x^{1/3}\right)}{b^3}","Not used",1,"((9*a^2)/(2*b^3) + (6*a*x^(1/3))/b^2)/(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3)) + (3*log(a + b*x^(1/3)))/b^3","B"
2377,1,54,56,1.137918,"\text{Not used}","int(1/(x*(a + b*x^(1/3))^3),x)","\frac{\frac{9}{2\,a}+\frac{3\,b\,x^{1/3}}{a^2}}{a^2+b^2\,x^{2/3}+2\,a\,b\,x^{1/3}}-\frac{6\,\mathrm{atanh}\left(\frac{2\,b\,x^{1/3}}{a}+1\right)}{a^3}","Not used",1,"(9/(2*a) + (3*b*x^(1/3))/a^2)/(a^2 + b^2*x^(2/3) + 2*a*b*x^(1/3)) - (6*atanh((2*b*x^(1/3))/a + 1))/a^3","B"
2378,1,89,103,1.162785,"\text{Not used}","int(1/(x^2*(a + b*x^(1/3))^3),x)","\frac{60\,b^3\,\mathrm{atanh}\left(\frac{2\,b\,x^{1/3}}{a}+1\right)}{a^6}-\frac{\frac{1}{a}-\frac{5\,b\,x^{1/3}}{2\,a^2}+\frac{45\,b^3\,x}{a^4}+\frac{10\,b^2\,x^{2/3}}{a^3}+\frac{30\,b^4\,x^{4/3}}{a^5}}{a^2\,x+b^2\,x^{5/3}+2\,a\,b\,x^{4/3}}","Not used",1,"(60*b^3*atanh((2*b*x^(1/3))/a + 1))/a^6 - (1/a - (5*b*x^(1/3))/(2*a^2) + (45*b^3*x)/a^4 + (10*b^2*x^(2/3))/a^3 + (30*b^4*x^(4/3))/a^5)/(a^2*x + b^2*x^(5/3) + 2*a*b*x^(4/3))","B"
2379,1,125,146,1.213178,"\text{Not used}","int(1/(x^3*(a + b*x^(1/3))^3),x)","\frac{\frac{4\,b\,x^{1/3}}{5\,a^2}-\frac{1}{2\,a}+\frac{14\,b^3\,x}{5\,a^4}-\frac{7\,b^2\,x^{2/3}}{5\,a^3}+\frac{126\,b^6\,x^2}{a^7}-\frac{7\,b^4\,x^{4/3}}{a^5}+\frac{28\,b^5\,x^{5/3}}{a^6}+\frac{84\,b^7\,x^{7/3}}{a^8}}{a^2\,x^2+b^2\,x^{8/3}+2\,a\,b\,x^{7/3}}-\frac{168\,b^6\,\mathrm{atanh}\left(\frac{2\,b\,x^{1/3}}{a}+1\right)}{a^9}","Not used",1,"((4*b*x^(1/3))/(5*a^2) - 1/(2*a) + (14*b^3*x)/(5*a^4) - (7*b^2*x^(2/3))/(5*a^3) + (126*b^6*x^2)/a^7 - (7*b^4*x^(4/3))/a^5 + (28*b^5*x^(5/3))/a^6 + (84*b^7*x^(7/3))/a^8)/(a^2*x^2 + b^2*x^(8/3) + 2*a*b*x^(7/3)) - (168*b^6*atanh((2*b*x^(1/3))/a + 1))/a^9","B"
2380,1,159,183,1.285836,"\text{Not used}","int(1/(x^4*(a + b*x^(1/3))^3),x)","\frac{330\,b^9\,\mathrm{atanh}\left(\frac{2\,b\,x^{1/3}}{a}+1\right)}{a^{12}}-\frac{\frac{1}{3\,a}-\frac{11\,b\,x^{1/3}}{24\,a^2}-\frac{55\,b^3\,x}{56\,a^4}+\frac{55\,b^2\,x^{2/3}}{84\,a^3}+\frac{11\,b^6\,x^2}{2\,a^7}+\frac{11\,b^4\,x^{4/3}}{7\,a^5}-\frac{11\,b^5\,x^{5/3}}{4\,a^6}+\frac{495\,b^9\,x^3}{2\,a^{10}}-\frac{55\,b^7\,x^{7/3}}{4\,a^8}+\frac{55\,b^8\,x^{8/3}}{a^9}+\frac{165\,b^{10}\,x^{10/3}}{a^{11}}}{a^2\,x^3+b^2\,x^{11/3}+2\,a\,b\,x^{10/3}}","Not used",1,"(330*b^9*atanh((2*b*x^(1/3))/a + 1))/a^12 - (1/(3*a) - (11*b*x^(1/3))/(24*a^2) - (55*b^3*x)/(56*a^4) + (55*b^2*x^(2/3))/(84*a^3) + (11*b^6*x^2)/(2*a^7) + (11*b^4*x^(4/3))/(7*a^5) - (11*b^5*x^(5/3))/(4*a^6) + (495*b^9*x^3)/(2*a^10) - (55*b^7*x^(7/3))/(4*a^8) + (55*b^8*x^(8/3))/a^9 + (165*b^10*x^(10/3))/a^11)/(a^2*x^3 + b^2*x^(11/3) + 2*a*b*x^(10/3))","B"
2381,1,12,42,1.205423,"\text{Not used}","int(1/(x^(1/3) + 1)^(1/2),x)","x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},3;\ 4;\ -x^{1/3}\right)","Not used",1,"x*hypergeom([1/2, 3], 4, -x^(1/3))","B"
2382,1,18,23,0.040723,"\text{Not used}","int(1/(x^(3/2)*(x^(1/3) + 1)),x)","6\,\mathrm{atan}\left(x^{1/6}\right)+\frac{6\,x^{1/3}-2}{\sqrt{x}}","Not used",1,"6*atan(x^(1/6)) + (6*x^(1/3) - 2)/x^(1/2)","B"
2383,1,27,39,0.023863,"\text{Not used}","int(x^(2/3)/(x^(1/3) + 1),x)","3\,\ln\left(x^{1/3}+1\right)-x-3\,x^{1/3}+\frac{3\,x^{2/3}}{2}+\frac{3\,x^{4/3}}{4}","Not used",1,"3*log(x^(1/3) + 1) - x - 3*x^(1/3) + (3*x^(2/3))/2 + (3*x^(4/3))/4","B"
2384,1,12,16,1.115587,"\text{Not used}","int(1/(x^(2/3) + 1),x)","3\,x^{1/3}-3\,\mathrm{atan}\left(x^{1/3}\right)","Not used",1,"3*x^(1/3) - 3*atan(x^(1/3))","B"
2385,1,8,12,0.151125,"\text{Not used}","int(1/(x^(1/3)*(x^(2/3) + 1)),x)","\frac{3\,\ln\left(x^{2/3}+1\right)}{2}","Not used",1,"(3*log(x^(2/3) + 1))/2","B"
2386,1,6,8,0.151934,"\text{Not used}","int(1/(x^(2/3)*(x^(2/3) + 1)),x)","3\,\mathrm{atan}\left(x^{1/3}\right)","Not used",1,"3*atan(x^(1/3))","B"
2387,1,7,11,2.191799,"\text{Not used}","int((x^(2/3) - 1)^(1/2)/x^(1/3),x)","{\left(x^{2/3}-1\right)}^{3/2}","Not used",1,"(x^(2/3) - 1)^(3/2)","B"
2388,1,9,15,2.088799,"\text{Not used}","int((x^(2/3) + 1)^(3/2)/x^(1/3),x)","\frac{3\,{\left(x^{2/3}+1\right)}^{5/2}}{5}","Not used",1,"(3*(x^(2/3) + 1)^(5/2))/5","B"
2389,1,47,117,1.192562,"\text{Not used}","int(x^(1/2)/(x^(2/3) + 1),x)","\frac{6\,x^{5/6}}{5}-6\,x^{1/6}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x^{1/6}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{2}+\frac{3}{2}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x^{1/6}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{3}{2}-\frac{3}{2}{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*x^(1/6)*(1/2 - 1i/2))*(3/2 + 3i/2) + 2^(1/2)*atan(2^(1/2)*x^(1/6)*(1/2 + 1i/2))*(3/2 - 3i/2) - 6*x^(1/6) + (6*x^(5/6))/5","B"
2390,1,223,188,0.119626,"\text{Not used}","int(x^(1/3)/(x^(5/6) - 1),x)","\frac{6\,\ln\left(1296\,x^{1/6}-1296\right)}{5}-\ln\left(-750\,x^{1/6}\,{\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{10}-\frac{3\,\sqrt{5}}{10}+\frac{3}{10}\right)}^3-1296\right)\,\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{10}-\frac{3\,\sqrt{5}}{10}+\frac{3}{10}\right)+\ln\left(750\,x^{1/6}\,{\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{10}+\frac{3\,\sqrt{5}}{10}-\frac{3}{10}\right)}^3-1296\right)\,\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{10}+\frac{3\,\sqrt{5}}{10}-\frac{3}{10}\right)-\ln\left(-750\,x^{1/6}\,{\left(\frac{3\,\sqrt{5}}{10}-\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{10}+\frac{3}{10}\right)}^3-1296\right)\,\left(\frac{3\,\sqrt{5}}{10}-\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{10}+\frac{3}{10}\right)-\ln\left(-750\,x^{1/6}\,{\left(\frac{3\,\sqrt{5}}{10}+\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{10}+\frac{3}{10}\right)}^3-1296\right)\,\left(\frac{3\,\sqrt{5}}{10}+\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{10}+\frac{3}{10}\right)+2\,\sqrt{x}","Not used",1,"(6*log(1296*x^(1/6) - 1296))/5 - log(- 750*x^(1/6)*((3*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/10 - (3*5^(1/2))/10 + 3/10)^3 - 1296)*((3*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/10 - (3*5^(1/2))/10 + 3/10) + log(750*x^(1/6)*((3*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/10 + (3*5^(1/2))/10 - 3/10)^3 - 1296)*((3*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/10 + (3*5^(1/2))/10 - 3/10) - log(- 750*x^(1/6)*((3*5^(1/2))/10 - (3*2^(1/2)*(5^(1/2) - 5)^(1/2))/10 + 3/10)^3 - 1296)*((3*5^(1/2))/10 - (3*2^(1/2)*(5^(1/2) - 5)^(1/2))/10 + 3/10) - log(- 750*x^(1/6)*((3*5^(1/2))/10 + (3*2^(1/2)*(5^(1/2) - 5)^(1/2))/10 + 3/10)^3 - 1296)*((3*5^(1/2))/10 + (3*2^(1/2)*(5^(1/2) - 5)^(1/2))/10 + 3/10) + 2*x^(1/2)","B"
2391,1,31,67,1.266452,"\text{Not used}","int((3 - 1/x^(1/2))^(1/2),x)","\frac{4\,x\,\sqrt{3-\frac{1}{\sqrt{x}}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{3}{2};\ \frac{5}{2};\ 3\,\sqrt{x}\right)}{3\,\sqrt{1-3\,\sqrt{x}}}","Not used",1,"(4*x*(3 - 1/x^(1/2))^(1/2)*hypergeom([-1/2, 3/2], 5/2, 3*x^(1/2)))/(3*(1 - 3*x^(1/2))^(1/2))","B"
2392,1,27,50,1.186649,"\text{Not used}","int(1/(1/x^(1/2) + 1)^(1/2),x)","\frac{4\,x\,\sqrt{\sqrt{x}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{5}{2};\ \frac{7}{2};\ -\sqrt{x}\right)}{5\,\sqrt{\frac{1}{\sqrt{x}}+1}}","Not used",1,"(4*x*(x^(1/2) + 1)^(1/2)*hypergeom([1/2, 5/2], 7/2, -x^(1/2)))/(5*(1/x^(1/2) + 1)^(1/2))","B"
2393,1,37,95,1.312164,"\text{Not used}","int((a + b/x^(3/2))^(2/3),x)","\frac{x\,{\left(a+\frac{b}{x^{3/2}}\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},-\frac{2}{3};\ \frac{1}{3};\ -\frac{b}{a\,x^{3/2}}\right)}{{\left(\frac{b}{a\,x^{3/2}}+1\right)}^{2/3}}","Not used",1,"(x*(a + b/x^(3/2))^(2/3)*hypergeom([-2/3, -2/3], 1/3, -b/(a*x^(3/2))))/(b/(a*x^(3/2)) + 1)^(2/3)","B"
2394,1,13,19,0.032286,"\text{Not used}","int(x^4*(a + b/x^(1/3)),x)","\frac{a\,x^5}{5}+\frac{3\,b\,x^{14/3}}{14}","Not used",1,"(a*x^5)/5 + (3*b*x^(14/3))/14","B"
2395,1,13,19,0.028094,"\text{Not used}","int(x^3*(a + b/x^(1/3)),x)","\frac{a\,x^4}{4}+\frac{3\,b\,x^{11/3}}{11}","Not used",1,"(a*x^4)/4 + (3*b*x^(11/3))/11","B"
2396,1,13,19,0.028498,"\text{Not used}","int(x^2*(a + b/x^(1/3)),x)","\frac{a\,x^3}{3}+\frac{3\,b\,x^{8/3}}{8}","Not used",1,"(a*x^3)/3 + (3*b*x^(8/3))/8","B"
2397,1,13,19,0.028443,"\text{Not used}","int(x*(a + b/x^(1/3)),x)","\frac{a\,x^2}{2}+\frac{3\,b\,x^{5/3}}{5}","Not used",1,"(a*x^2)/2 + (3*b*x^(5/3))/5","B"
2398,1,10,14,0.028499,"\text{Not used}","int(a + b/x^(1/3),x)","a\,x+\frac{3\,b\,x^{2/3}}{2}","Not used",1,"a*x + (3*b*x^(2/3))/2","B"
2399,1,14,13,0.039649,"\text{Not used}","int((a + b/x^(1/3))/x,x)","3\,a\,\ln\left(x^{1/3}\right)-\frac{3\,b}{x^{1/3}}","Not used",1,"3*a*log(x^(1/3)) - (3*b)/x^(1/3)","B"
2400,1,13,17,1.131393,"\text{Not used}","int((a + b/x^(1/3))/x^2,x)","-\frac{a}{x}-\frac{3\,b}{4\,x^{4/3}}","Not used",1,"- a/x - (3*b)/(4*x^(4/3))","B"
2401,1,13,19,1.125685,"\text{Not used}","int((a + b/x^(1/3))/x^3,x)","-\frac{a}{2\,x^2}-\frac{3\,b}{7\,x^{7/3}}","Not used",1,"- a/(2*x^2) - (3*b)/(7*x^(7/3))","B"
2402,1,13,19,1.113848,"\text{Not used}","int((a + b/x^(1/3))/x^4,x)","-\frac{a}{3\,x^3}-\frac{3\,b}{10\,x^{10/3}}","Not used",1,"- a/(3*x^3) - (3*b)/(10*x^(10/3))","B"
2403,1,24,34,0.045913,"\text{Not used}","int(x^4*(a + b/x^(1/3))^2,x)","\frac{a^2\,x^5}{5}+\frac{3\,b^2\,x^{13/3}}{13}+\frac{3\,a\,b\,x^{14/3}}{7}","Not used",1,"(a^2*x^5)/5 + (3*b^2*x^(13/3))/13 + (3*a*b*x^(14/3))/7","B"
2404,1,24,34,1.139429,"\text{Not used}","int(x^3*(a + b/x^(1/3))^2,x)","\frac{a^2\,x^4}{4}+\frac{3\,b^2\,x^{10/3}}{10}+\frac{6\,a\,b\,x^{11/3}}{11}","Not used",1,"(a^2*x^4)/4 + (3*b^2*x^(10/3))/10 + (6*a*b*x^(11/3))/11","B"
2405,1,24,34,0.038229,"\text{Not used}","int(x^2*(a + b/x^(1/3))^2,x)","\frac{a^2\,x^3}{3}+\frac{3\,b^2\,x^{7/3}}{7}+\frac{3\,a\,b\,x^{8/3}}{4}","Not used",1,"(a^2*x^3)/3 + (3*b^2*x^(7/3))/7 + (3*a*b*x^(8/3))/4","B"
2406,1,24,34,0.039592,"\text{Not used}","int(x*(a + b/x^(1/3))^2,x)","\frac{a^2\,x^2}{2}+\frac{3\,b^2\,x^{4/3}}{4}+\frac{6\,a\,b\,x^{5/3}}{5}","Not used",1,"(a^2*x^2)/2 + (3*b^2*x^(4/3))/4 + (6*a*b*x^(5/3))/5","B"
2407,1,21,16,0.038735,"\text{Not used}","int((a + b/x^(1/3))^2,x)","a^2\,x+3\,b^2\,x^{1/3}+3\,a\,b\,x^{2/3}","Not used",1,"a^2*x + 3*b^2*x^(1/3) + 3*a*b*x^(2/3)","B"
2408,1,28,28,0.038328,"\text{Not used}","int((a + b/x^(1/3))^2/x,x)","3\,a^2\,\ln\left(x^{1/3}\right)-\frac{\frac{3\,b^2}{2}+6\,a\,b\,x^{1/3}}{x^{2/3}}","Not used",1,"3*a^2*log(x^(1/3)) - ((3*b^2)/2 + 6*a*b*x^(1/3))/x^(2/3)","B"
2409,1,24,32,0.047575,"\text{Not used}","int((a + b/x^(1/3))^2/x^2,x)","-\frac{a^2}{x}-\frac{3\,b^2}{5\,x^{5/3}}-\frac{3\,a\,b}{2\,x^{4/3}}","Not used",1,"- a^2/x - (3*b^2)/(5*x^(5/3)) - (3*a*b)/(2*x^(4/3))","B"
2410,1,24,34,1.135694,"\text{Not used}","int((a + b/x^(1/3))^2/x^3,x)","-\frac{a^2}{2\,x^2}-\frac{3\,b^2}{8\,x^{8/3}}-\frac{6\,a\,b}{7\,x^{7/3}}","Not used",1,"- a^2/(2*x^2) - (3*b^2)/(8*x^(8/3)) - (6*a*b)/(7*x^(7/3))","B"
2411,1,24,34,1.132248,"\text{Not used}","int((a + b/x^(1/3))^2/x^4,x)","-\frac{a^2}{3\,x^3}-\frac{3\,b^2}{11\,x^{11/3}}-\frac{3\,a\,b}{5\,x^{10/3}}","Not used",1,"- a^2/(3*x^3) - (3*b^2)/(11*x^(11/3)) - (3*a*b)/(5*x^(10/3))","B"
2412,1,35,47,0.049682,"\text{Not used}","int(x^4*(a + b/x^(1/3))^3,x)","\frac{a^3\,x^5}{5}+\frac{b^3\,x^4}{4}+\frac{9\,a\,b^2\,x^{13/3}}{13}+\frac{9\,a^2\,b\,x^{14/3}}{14}","Not used",1,"(a^3*x^5)/5 + (b^3*x^4)/4 + (9*a*b^2*x^(13/3))/13 + (9*a^2*b*x^(14/3))/14","B"
2413,1,35,47,0.044194,"\text{Not used}","int(x^3*(a + b/x^(1/3))^3,x)","\frac{a^3\,x^4}{4}+\frac{b^3\,x^3}{3}+\frac{9\,a\,b^2\,x^{10/3}}{10}+\frac{9\,a^2\,b\,x^{11/3}}{11}","Not used",1,"(a^3*x^4)/4 + (b^3*x^3)/3 + (9*a*b^2*x^(10/3))/10 + (9*a^2*b*x^(11/3))/11","B"
2414,1,35,47,0.045338,"\text{Not used}","int(x^2*(a + b/x^(1/3))^3,x)","\frac{a^3\,x^3}{3}+\frac{b^3\,x^2}{2}+\frac{9\,a\,b^2\,x^{7/3}}{7}+\frac{9\,a^2\,b\,x^{8/3}}{8}","Not used",1,"(a^3*x^3)/3 + (b^3*x^2)/2 + (9*a*b^2*x^(7/3))/7 + (9*a^2*b*x^(8/3))/8","B"
2415,1,32,42,0.048395,"\text{Not used}","int(x*(a + b/x^(1/3))^3,x)","b^3\,x+\frac{a^3\,x^2}{2}+\frac{9\,a\,b^2\,x^{4/3}}{4}+\frac{9\,a^2\,b\,x^{5/3}}{5}","Not used",1,"b^3*x + (a^3*x^2)/2 + (9*a*b^2*x^(4/3))/4 + (9*a^2*b*x^(5/3))/5","B"
2416,1,33,36,0.038157,"\text{Not used}","int((a + b/x^(1/3))^3,x)","3\,b^3\,\ln\left(x^{1/3}\right)+a^3\,x+9\,a\,b^2\,x^{1/3}+\frac{9\,a^2\,b\,x^{2/3}}{2}","Not used",1,"3*b^3*log(x^(1/3)) + a^3*x + 9*a*b^2*x^(1/3) + (9*a^2*b*x^(2/3))/2","B"
2417,1,37,39,0.041082,"\text{Not used}","int((a + b/x^(1/3))^3/x,x)","3\,a^3\,\ln\left(x^{1/3}\right)-\frac{b^3+\frac{9\,a\,b^2\,x^{1/3}}{2}+9\,a^2\,b\,x^{2/3}}{x}","Not used",1,"3*a^3*log(x^(1/3)) - (b^3 + (9*a*b^2*x^(1/3))/2 + 9*a^2*b*x^(2/3))/x","B"
2418,1,35,45,1.119536,"\text{Not used}","int((a + b/x^(1/3))^3/x^2,x)","-\frac{20\,a^3\,x+10\,b^3+36\,a\,b^2\,x^{1/3}+45\,a^2\,b\,x^{2/3}}{20\,x^2}","Not used",1,"-(20*a^3*x + 10*b^3 + 36*a*b^2*x^(1/3) + 45*a^2*b*x^(2/3))/(20*x^2)","B"
2419,1,35,47,1.118380,"\text{Not used}","int((a + b/x^(1/3))^3/x^3,x)","-\frac{84\,a^3\,x+56\,b^3+189\,a\,b^2\,x^{1/3}+216\,a^2\,b\,x^{2/3}}{168\,x^3}","Not used",1,"-(84*a^3*x + 56*b^3 + 189*a*b^2*x^(1/3) + 216*a^2*b*x^(2/3))/(168*x^3)","B"
2420,1,35,47,0.036959,"\text{Not used}","int((a + b/x^(1/3))^3/x^4,x)","-\frac{220\,a^3\,x+165\,b^3+540\,a\,b^2\,x^{1/3}+594\,a^2\,b\,x^{2/3}}{660\,x^4}","Not used",1,"-(220*a^3*x + 165*b^3 + 540*a*b^2*x^(1/3) + 594*a^2*b*x^(2/3))/(660*x^4)","B"
2421,1,108,136,0.054220,"\text{Not used}","int(x^2/(a + b/x^(1/3)),x)","\frac{x^3}{3\,a}-\frac{3\,b\,x^{8/3}}{8\,a^2}+\frac{b^6\,x}{a^7}-\frac{3\,b^9\,\ln\left(b+a\,x^{1/3}\right)}{a^{10}}-\frac{b^3\,x^2}{2\,a^4}+\frac{3\,b^2\,x^{7/3}}{7\,a^3}+\frac{3\,b^4\,x^{5/3}}{5\,a^5}-\frac{3\,b^5\,x^{4/3}}{4\,a^6}-\frac{3\,b^7\,x^{2/3}}{2\,a^8}+\frac{3\,b^8\,x^{1/3}}{a^9}","Not used",1,"x^3/(3*a) - (3*b*x^(8/3))/(8*a^2) + (b^6*x)/a^7 - (3*b^9*log(b + a*x^(1/3)))/a^10 - (b^3*x^2)/(2*a^4) + (3*b^2*x^(7/3))/(7*a^3) + (3*b^4*x^(5/3))/(5*a^5) - (3*b^5*x^(4/3))/(4*a^6) - (3*b^7*x^(2/3))/(2*a^8) + (3*b^8*x^(1/3))/a^9","B"
2422,1,76,94,0.033808,"\text{Not used}","int(x/(a + b/x^(1/3)),x)","\frac{x^2}{2\,a}-\frac{b^3\,x}{a^4}-\frac{3\,b\,x^{5/3}}{5\,a^2}+\frac{3\,b^6\,\ln\left(b+a\,x^{1/3}\right)}{a^7}+\frac{3\,b^2\,x^{4/3}}{4\,a^3}+\frac{3\,b^4\,x^{2/3}}{2\,a^5}-\frac{3\,b^5\,x^{1/3}}{a^6}","Not used",1,"x^2/(2*a) - (b^3*x)/a^4 - (3*b*x^(5/3))/(5*a^2) + (3*b^6*log(b + a*x^(1/3)))/a^7 + (3*b^2*x^(4/3))/(4*a^3) + (3*b^4*x^(2/3))/(2*a^5) - (3*b^5*x^(1/3))/a^6","B"
2423,1,42,60,0.037779,"\text{Not used}","int(1/(a + b/x^(1/3)),x)","\frac{x}{a}-\frac{3\,b\,x^{2/3}}{2\,a^2}-\frac{3\,b^3\,\ln\left(b+a\,x^{1/3}\right)}{a^4}+\frac{3\,b^2\,x^{1/3}}{a^3}","Not used",1,"x/a - (3*b*x^(2/3))/(2*a^2) - (3*b^3*log(b + a*x^(1/3)))/a^4 + (3*b^2*x^(1/3))/a^3","B"
2424,1,13,15,0.038201,"\text{Not used}","int(1/(x*(a + b/x^(1/3))),x)","\frac{3\,\ln\left(b+a\,x^{1/3}\right)}{a}","Not used",1,"(3*log(b + a*x^(1/3)))/a","B"
2425,1,41,51,1.163265,"\text{Not used}","int(1/(x^2*(a + b/x^(1/3))),x)","-\frac{\frac{3}{2\,b}-\frac{3\,a\,x^{1/3}}{b^2}}{x^{2/3}}-\frac{6\,a^2\,\mathrm{atanh}\left(\frac{2\,a\,x^{1/3}}{b}+1\right)}{b^3}","Not used",1,"- (3/(2*b) - (3*a*x^(1/3))/b^2)/x^(2/3) - (6*a^2*atanh((2*a*x^(1/3))/b + 1))/b^3","B"
2426,1,71,93,1.176438,"\text{Not used}","int(1/(x^3*(a + b/x^(1/3))),x)","\frac{6\,a^5\,\mathrm{atanh}\left(\frac{2\,a\,x^{1/3}}{b}+1\right)}{b^6}-\frac{\frac{3}{5\,b}-\frac{3\,a\,x^{1/3}}{4\,b^2}-\frac{3\,a^3\,x}{2\,b^4}+\frac{a^2\,x^{2/3}}{b^3}+\frac{3\,a^4\,x^{4/3}}{b^5}}{x^{5/3}}","Not used",1,"(6*a^5*atanh((2*a*x^(1/3))/b + 1))/b^6 - (3/(5*b) - (3*a*x^(1/3))/(4*b^2) - (3*a^3*x)/(2*b^4) + (a^2*x^(2/3))/b^3 + (3*a^4*x^(4/3))/b^5)/x^(5/3)","B"
2427,1,105,134,0.073823,"\text{Not used}","int(1/(x^4*(a + b/x^(1/3))),x)","-\frac{\frac{3}{8\,b}-\frac{3\,a\,x^{1/3}}{7\,b^2}-\frac{3\,a^3\,x}{5\,b^4}+\frac{a^2\,x^{2/3}}{2\,b^3}+\frac{3\,a^6\,x^2}{2\,b^7}+\frac{3\,a^4\,x^{4/3}}{4\,b^5}-\frac{a^5\,x^{5/3}}{b^6}-\frac{3\,a^7\,x^{7/3}}{b^8}}{x^{8/3}}-\frac{6\,a^8\,\mathrm{atanh}\left(\frac{2\,a\,x^{1/3}}{b}+1\right)}{b^9}","Not used",1,"- (3/(8*b) - (3*a*x^(1/3))/(7*b^2) - (3*a^3*x)/(5*b^4) + (a^2*x^(2/3))/(2*b^3) + (3*a^6*x^2)/(2*b^7) + (3*a^4*x^(4/3))/(4*b^5) - (a^5*x^(5/3))/b^6 - (3*a^7*x^(7/3))/b^8)/x^(8/3) - (6*a^8*atanh((2*a*x^(1/3))/b + 1))/b^9","B"
2428,1,138,179,0.075564,"\text{Not used}","int(1/(x^5*(a + b/x^(1/3))),x)","-\frac{2520\,b^{11}-55440\,a^{11}\,x^{11/3}\,\mathrm{atanh}\left(\frac{2\,a\,x^{1/3}}{b}+1\right)-3465\,a^3\,b^8\,x-2772\,a\,b^{10}\,x^{1/3}+27720\,a^{10}\,b\,x^{10/3}+5544\,a^6\,b^5\,x^2-13860\,a^9\,b^2\,x^3+3080\,a^2\,b^9\,x^{2/3}+3960\,a^4\,b^7\,x^{4/3}-4620\,a^5\,b^6\,x^{5/3}-6930\,a^7\,b^4\,x^{7/3}+9240\,a^8\,b^3\,x^{8/3}}{9240\,b^{12}\,x^{11/3}}","Not used",1,"-(2520*b^11 - 55440*a^11*x^(11/3)*atanh((2*a*x^(1/3))/b + 1) - 3465*a^3*b^8*x - 2772*a*b^10*x^(1/3) + 27720*a^10*b*x^(10/3) + 5544*a^6*b^5*x^2 - 13860*a^9*b^2*x^3 + 3080*a^2*b^9*x^(2/3) + 3960*a^4*b^7*x^(4/3) - 4620*a^5*b^6*x^(5/3) - 6930*a^7*b^4*x^(7/3) + 9240*a^8*b^3*x^(8/3))/(9240*b^12*x^(11/3))","B"
2429,1,132,150,0.067502,"\text{Not used}","int(x^2/(a + b/x^(1/3))^2,x)","\frac{x^3}{3\,a^2}-\frac{3\,b^{10}}{a\,\left(a^{10}\,b+a^{11}\,x^{1/3}\right)}-\frac{3\,b\,x^{8/3}}{4\,a^3}+\frac{7\,b^6\,x}{a^8}-\frac{30\,b^9\,\ln\left(b+a\,x^{1/3}\right)}{a^{11}}-\frac{2\,b^3\,x^2}{a^5}+\frac{9\,b^2\,x^{7/3}}{7\,a^4}+\frac{3\,b^4\,x^{5/3}}{a^6}-\frac{9\,b^5\,x^{4/3}}{2\,a^7}-\frac{12\,b^7\,x^{2/3}}{a^9}+\frac{27\,b^8\,x^{1/3}}{a^{10}}","Not used",1,"x^3/(3*a^2) - (3*b^10)/(a*(a^10*b + a^11*x^(1/3))) - (3*b*x^(8/3))/(4*a^3) + (7*b^6*x)/a^8 - (30*b^9*log(b + a*x^(1/3)))/a^11 - (2*b^3*x^2)/a^5 + (9*b^2*x^(7/3))/(7*a^4) + (3*b^4*x^(5/3))/a^6 - (9*b^5*x^(4/3))/(2*a^7) - (12*b^7*x^(2/3))/a^9 + (27*b^8*x^(1/3))/a^10","B"
2430,1,99,113,1.125093,"\text{Not used}","int(x/(a + b/x^(1/3))^2,x)","\frac{x^2}{2\,a^2}+\frac{3\,b^7}{a\,\left(a^7\,b+a^8\,x^{1/3}\right)}-\frac{4\,b^3\,x}{a^5}-\frac{6\,b\,x^{5/3}}{5\,a^3}+\frac{21\,b^6\,\ln\left(b+a\,x^{1/3}\right)}{a^8}+\frac{9\,b^2\,x^{4/3}}{4\,a^4}+\frac{15\,b^4\,x^{2/3}}{2\,a^6}-\frac{18\,b^5\,x^{1/3}}{a^7}","Not used",1,"x^2/(2*a^2) + (3*b^7)/(a*(a^7*b + a^8*x^(1/3))) - (4*b^3*x)/a^5 - (6*b*x^(5/3))/(5*a^3) + (21*b^6*log(b + a*x^(1/3)))/a^8 + (9*b^2*x^(4/3))/(4*a^4) + (15*b^4*x^(2/3))/(2*a^6) - (18*b^5*x^(1/3))/a^7","B"
2431,1,65,77,1.126353,"\text{Not used}","int(1/(a + b/x^(1/3))^2,x)","\frac{x}{a^2}-\frac{3\,b^4}{a\,\left(a^4\,b+a^5\,x^{1/3}\right)}-\frac{3\,b\,x^{2/3}}{a^3}-\frac{12\,b^3\,\ln\left(b+a\,x^{1/3}\right)}{a^5}+\frac{9\,b^2\,x^{1/3}}{a^4}","Not used",1,"x/a^2 - (3*b^4)/(a*(a^4*b + a^5*x^(1/3))) - (3*b*x^(2/3))/a^3 - (12*b^3*log(b + a*x^(1/3)))/a^5 + (9*b^2*x^(1/3))/a^4","B"
2432,1,29,33,0.044218,"\text{Not used}","int(1/(x*(a + b/x^(1/3))^2),x)","\frac{3\,\ln\left(b+a\,x^{1/3}\right)}{a^2}+\frac{3\,b}{a^2\,\left(b+a\,x^{1/3}\right)}","Not used",1,"(3*log(b + a*x^(1/3)))/a^2 + (3*b)/(a^2*(b + a*x^(1/3)))","B"
2433,1,49,52,0.075963,"\text{Not used}","int(1/(x^2*(a + b/x^(1/3))^2),x)","\frac{12\,a\,\mathrm{atanh}\left(\frac{2\,a\,x^{1/3}}{b}+1\right)}{b^3}-\frac{\frac{3}{b}+\frac{6\,a\,x^{1/3}}{b^2}}{a\,x^{2/3}+b\,x^{1/3}}","Not used",1,"(12*a*atanh((2*a*x^(1/3))/b + 1))/b^3 - (3/b + (6*a*x^(1/3))/b^2)/(a*x^(2/3) + b*x^(1/3))","B"
2434,1,81,97,1.167942,"\text{Not used}","int(1/(x^3*(a + b/x^(1/3))^2),x)","\frac{\frac{5\,a\,x^{1/3}}{4\,b^2}-\frac{3}{4\,b}+\frac{15\,a^3\,x}{2\,b^4}-\frac{5\,a^2\,x^{2/3}}{2\,b^3}+\frac{15\,a^4\,x^{4/3}}{b^5}}{a\,x^{5/3}+b\,x^{4/3}}-\frac{30\,a^4\,\mathrm{atanh}\left(\frac{2\,a\,x^{1/3}}{b}+1\right)}{b^6}","Not used",1,"((5*a*x^(1/3))/(4*b^2) - 3/(4*b) + (15*a^3*x)/(2*b^4) - (5*a^2*x^(2/3))/(2*b^3) + (15*a^4*x^(4/3))/b^5)/(a*x^(5/3) + b*x^(4/3)) - (30*a^4*atanh((2*a*x^(1/3))/b + 1))/b^6","B"
2435,1,115,133,1.192817,"\text{Not used}","int(1/(x^4*(a + b/x^(1/3))^2),x)","\frac{48\,a^7\,\mathrm{atanh}\left(\frac{2\,a\,x^{1/3}}{b}+1\right)}{b^9}-\frac{\frac{3}{7\,b}-\frac{4\,a\,x^{1/3}}{7\,b^2}-\frac{6\,a^3\,x}{5\,b^4}+\frac{4\,a^2\,x^{2/3}}{5\,b^3}+\frac{12\,a^6\,x^2}{b^7}+\frac{2\,a^4\,x^{4/3}}{b^5}-\frac{4\,a^5\,x^{5/3}}{b^6}+\frac{24\,a^7\,x^{7/3}}{b^8}}{a\,x^{8/3}+b\,x^{7/3}}","Not used",1,"(48*a^7*atanh((2*a*x^(1/3))/b + 1))/b^9 - (3/(7*b) - (4*a*x^(1/3))/(7*b^2) - (6*a^3*x)/(5*b^4) + (4*a^2*x^(2/3))/(5*b^3) + (12*a^6*x^2)/b^7 + (2*a^4*x^(4/3))/b^5 - (4*a^5*x^(5/3))/b^6 + (24*a^7*x^(7/3))/b^8)/(a*x^(8/3) + b*x^(7/3))","B"
2436,1,147,183,0.100629,"\text{Not used}","int(1/(x^5*(a + b/x^(1/3))^2),x)","\frac{\frac{11\,a\,x^{1/3}}{30\,b^2}-\frac{3}{10\,b}+\frac{33\,a^3\,x}{56\,b^4}-\frac{11\,a^2\,x^{2/3}}{24\,b^3}-\frac{33\,a^6\,x^2}{20\,b^7}-\frac{11\,a^4\,x^{4/3}}{14\,b^5}+\frac{11\,a^5\,x^{5/3}}{10\,b^6}+\frac{33\,a^9\,x^3}{2\,b^{10}}+\frac{11\,a^7\,x^{7/3}}{4\,b^8}-\frac{11\,a^8\,x^{8/3}}{2\,b^9}+\frac{33\,a^{10}\,x^{10/3}}{b^{11}}}{a\,x^{11/3}+b\,x^{10/3}}-\frac{66\,a^{10}\,\mathrm{atanh}\left(\frac{2\,a\,x^{1/3}}{b}+1\right)}{b^{12}}","Not used",1,"((11*a*x^(1/3))/(30*b^2) - 3/(10*b) + (33*a^3*x)/(56*b^4) - (11*a^2*x^(2/3))/(24*b^3) - (33*a^6*x^2)/(20*b^7) - (11*a^4*x^(4/3))/(14*b^5) + (11*a^5*x^(5/3))/(10*b^6) + (33*a^9*x^3)/(2*b^10) + (11*a^7*x^(7/3))/(4*b^8) - (11*a^8*x^(8/3))/(2*b^9) + (33*a^10*x^(10/3))/b^11)/(a*x^(11/3) + b*x^(10/3)) - (66*a^10*atanh((2*a*x^(1/3))/b + 1))/b^12","B"
2437,1,154,171,1.145590,"\text{Not used}","int(x^2/(a + b/x^(1/3))^3,x)","\frac{x^3}{3\,a^3}-\frac{\frac{63\,b^{11}}{2\,a}+33\,b^{10}\,x^{1/3}}{a^{11}\,b^2+a^{13}\,x^{2/3}+2\,a^{12}\,b\,x^{1/3}}-\frac{9\,b\,x^{8/3}}{8\,a^4}+\frac{28\,b^6\,x}{a^9}-\frac{165\,b^9\,\ln\left(b+a\,x^{1/3}\right)}{a^{12}}-\frac{5\,b^3\,x^2}{a^6}+\frac{18\,b^2\,x^{7/3}}{7\,a^5}+\frac{9\,b^4\,x^{5/3}}{a^7}-\frac{63\,b^5\,x^{4/3}}{4\,a^8}-\frac{54\,b^7\,x^{2/3}}{a^{10}}+\frac{135\,b^8\,x^{1/3}}{a^{11}}","Not used",1,"x^3/(3*a^3) - ((63*b^11)/(2*a) + 33*b^10*x^(1/3))/(a^11*b^2 + a^13*x^(2/3) + 2*a^12*b*x^(1/3)) - (9*b*x^(8/3))/(8*a^4) + (28*b^6*x)/a^9 - (165*b^9*log(b + a*x^(1/3)))/a^12 - (5*b^3*x^2)/a^6 + (18*b^2*x^(7/3))/(7*a^5) + (9*b^4*x^(5/3))/a^7 - (63*b^5*x^(4/3))/(4*a^8) - (54*b^7*x^(2/3))/a^10 + (135*b^8*x^(1/3))/a^11","B"
2438,1,120,134,0.049605,"\text{Not used}","int(x/(a + b/x^(1/3))^3,x)","\frac{\frac{45\,b^8}{2\,a}+24\,b^7\,x^{1/3}}{a^8\,b^2+a^{10}\,x^{2/3}+2\,a^9\,b\,x^{1/3}}+\frac{x^2}{2\,a^3}-\frac{10\,b^3\,x}{a^6}-\frac{9\,b\,x^{5/3}}{5\,a^4}+\frac{84\,b^6\,\ln\left(b+a\,x^{1/3}\right)}{a^9}+\frac{9\,b^2\,x^{4/3}}{2\,a^5}+\frac{45\,b^4\,x^{2/3}}{2\,a^7}-\frac{63\,b^5\,x^{1/3}}{a^8}","Not used",1,"((45*b^8)/(2*a) + 24*b^7*x^(1/3))/(a^8*b^2 + a^10*x^(2/3) + 2*a^9*b*x^(1/3)) + x^2/(2*a^3) - (10*b^3*x)/a^6 - (9*b*x^(5/3))/(5*a^4) + (84*b^6*log(b + a*x^(1/3)))/a^9 + (9*b^2*x^(4/3))/(2*a^5) + (45*b^4*x^(2/3))/(2*a^7) - (63*b^5*x^(1/3))/a^8","B"
2439,1,87,100,0.040181,"\text{Not used}","int(1/(a + b/x^(1/3))^3,x)","\frac{x}{a^3}-\frac{\frac{27\,b^5}{2\,a}+15\,b^4\,x^{1/3}}{a^5\,b^2+a^7\,x^{2/3}+2\,a^6\,b\,x^{1/3}}-\frac{9\,b\,x^{2/3}}{2\,a^4}-\frac{30\,b^3\,\ln\left(b+a\,x^{1/3}\right)}{a^6}+\frac{18\,b^2\,x^{1/3}}{a^5}","Not used",1,"x/a^3 - ((27*b^5)/(2*a) + 15*b^4*x^(1/3))/(a^5*b^2 + a^7*x^(2/3) + 2*a^6*b*x^(1/3)) - (9*b*x^(2/3))/(2*a^4) - (30*b^3*log(b + a*x^(1/3)))/a^6 + (18*b^2*x^(1/3))/a^5","B"
2440,1,53,54,1.137573,"\text{Not used}","int(1/(x*(a + b/x^(1/3))^3),x)","\frac{\frac{9\,b^2}{2\,a^3}+\frac{6\,b\,x^{1/3}}{a^2}}{b^2+a^2\,x^{2/3}+2\,a\,b\,x^{1/3}}+\frac{3\,\ln\left(b+a\,x^{1/3}\right)}{a^3}","Not used",1,"((9*b^2)/(2*a^3) + (6*b*x^(1/3))/a^2)/(b^2 + a^2*x^(2/3) + 2*a*b*x^(1/3)) + (3*log(b + a*x^(1/3)))/a^3","B"
2441,1,54,56,1.138921,"\text{Not used}","int(1/(x^2*(a + b/x^(1/3))^3),x)","\frac{\frac{9}{2\,b}+\frac{3\,a\,x^{1/3}}{b^2}}{b^2+a^2\,x^{2/3}+2\,a\,b\,x^{1/3}}-\frac{6\,\mathrm{atanh}\left(\frac{2\,a\,x^{1/3}}{b}+1\right)}{b^3}","Not used",1,"(9/(2*b) + (3*a*x^(1/3))/b^2)/(b^2 + a^2*x^(2/3) + 2*a*b*x^(1/3)) - (6*atanh((2*a*x^(1/3))/b + 1))/b^3","B"
2442,1,89,103,0.098491,"\text{Not used}","int(1/(x^3*(a + b/x^(1/3))^3),x)","\frac{60\,a^3\,\mathrm{atanh}\left(\frac{2\,a\,x^{1/3}}{b}+1\right)}{b^6}-\frac{\frac{1}{b}-\frac{5\,a\,x^{1/3}}{2\,b^2}+\frac{45\,a^3\,x}{b^4}+\frac{10\,a^2\,x^{2/3}}{b^3}+\frac{30\,a^4\,x^{4/3}}{b^5}}{b^2\,x+a^2\,x^{5/3}+2\,a\,b\,x^{4/3}}","Not used",1,"(60*a^3*atanh((2*a*x^(1/3))/b + 1))/b^6 - (1/b - (5*a*x^(1/3))/(2*b^2) + (45*a^3*x)/b^4 + (10*a^2*x^(2/3))/b^3 + (30*a^4*x^(4/3))/b^5)/(b^2*x + a^2*x^(5/3) + 2*a*b*x^(4/3))","B"
2443,1,125,146,1.211574,"\text{Not used}","int(1/(x^4*(a + b/x^(1/3))^3),x)","\frac{\frac{4\,a\,x^{1/3}}{5\,b^2}-\frac{1}{2\,b}+\frac{14\,a^3\,x}{5\,b^4}-\frac{7\,a^2\,x^{2/3}}{5\,b^3}+\frac{126\,a^6\,x^2}{b^7}-\frac{7\,a^4\,x^{4/3}}{b^5}+\frac{28\,a^5\,x^{5/3}}{b^6}+\frac{84\,a^7\,x^{7/3}}{b^8}}{a^2\,x^{8/3}+b^2\,x^2+2\,a\,b\,x^{7/3}}-\frac{168\,a^6\,\mathrm{atanh}\left(\frac{2\,a\,x^{1/3}}{b}+1\right)}{b^9}","Not used",1,"((4*a*x^(1/3))/(5*b^2) - 1/(2*b) + (14*a^3*x)/(5*b^4) - (7*a^2*x^(2/3))/(5*b^3) + (126*a^6*x^2)/b^7 - (7*a^4*x^(4/3))/b^5 + (28*a^5*x^(5/3))/b^6 + (84*a^7*x^(7/3))/b^8)/(a^2*x^(8/3) + b^2*x^2 + 2*a*b*x^(7/3)) - (168*a^6*atanh((2*a*x^(1/3))/b + 1))/b^9","B"
2444,1,159,183,1.314184,"\text{Not used}","int(1/(x^5*(a + b/x^(1/3))^3),x)","\frac{330\,a^9\,\mathrm{atanh}\left(\frac{2\,a\,x^{1/3}}{b}+1\right)}{b^{12}}-\frac{\frac{1}{3\,b}-\frac{11\,a\,x^{1/3}}{24\,b^2}-\frac{55\,a^3\,x}{56\,b^4}+\frac{55\,a^2\,x^{2/3}}{84\,b^3}+\frac{11\,a^6\,x^2}{2\,b^7}+\frac{11\,a^4\,x^{4/3}}{7\,b^5}-\frac{11\,a^5\,x^{5/3}}{4\,b^6}+\frac{495\,a^9\,x^3}{2\,b^{10}}-\frac{55\,a^7\,x^{7/3}}{4\,b^8}+\frac{55\,a^8\,x^{8/3}}{b^9}+\frac{165\,a^{10}\,x^{10/3}}{b^{11}}}{a^2\,x^{11/3}+b^2\,x^3+2\,a\,b\,x^{10/3}}","Not used",1,"(330*a^9*atanh((2*a*x^(1/3))/b + 1))/b^12 - (1/(3*b) - (11*a*x^(1/3))/(24*b^2) - (55*a^3*x)/(56*b^4) + (55*a^2*x^(2/3))/(84*b^3) + (11*a^6*x^2)/(2*b^7) + (11*a^4*x^(4/3))/(7*b^5) - (11*a^5*x^(5/3))/(4*b^6) + (495*a^9*x^3)/(2*b^10) - (55*a^7*x^(7/3))/(4*b^8) + (55*a^8*x^(8/3))/b^9 + (165*a^10*x^(10/3))/b^11)/(a^2*x^(11/3) + b^2*x^3 + 2*a*b*x^(10/3))","B"
2445,1,27,44,0.035954,"\text{Not used}","int(1/(b/x^(1/3) + 1),x)","x-3\,b^3\,\ln\left(b+x^{1/3}\right)-\frac{3\,b\,x^{2/3}}{2}+3\,b^2\,x^{1/3}","Not used",1,"x - 3*b^3*log(b + x^(1/3)) - (3*b*x^(2/3))/2 + 3*b^2*x^(1/3)","B"
2446,1,9,15,1.542336,"\text{Not used}","int(x^(2/3)*(x^(5/3) + 1)^(2/3),x)","\frac{9\,{\left(x^{5/3}+1\right)}^{5/3}}{25}","Not used",1,"(9*(x^(5/3) + 1)^(5/3))/25","B"
2447,1,13,21,2.042313,"\text{Not used}","int(x^(7/3)*(a^(10/3) - x^(10/3))^(19/7),x)","-\frac{21\,{\left(a^{10/3}-x^{10/3}\right)}^{26/7}}{260}","Not used",1,"-(21*(a^(10/3) - x^(10/3))^(26/7))/260","B"
2448,1,29,45,0.023735,"\text{Not used}","int(1/(x^(1/5) + 1),x)","5\,\ln\left(x^{1/5}+1\right)-5\,x^{1/5}+\frac{5\,x^{2/5}}{2}-\frac{5\,x^{3/5}}{3}+\frac{5\,x^{4/5}}{4}","Not used",1,"5*log(x^(1/5) + 1) - 5*x^(1/5) + (5*x^(2/5))/2 - (5*x^(3/5))/3 + (5*x^(4/5))/4","B"
2449,1,9,15,1.405828,"\text{Not used}","int(1/(x^(1/5)*(x^(4/5) + 1)^(1/2)),x)","\frac{5\,\sqrt{x^{4/5}+1}}{2}","Not used",1,"(5*(x^(4/5) + 1)^(1/2))/2","B"
2450,1,38,18,1.286037,"\text{Not used}","int((a + b/x^(3/5))^(2/3),x)","\frac{5\,x\,{\left(a+\frac{b}{x^{3/5}}\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},1;\ 2;\ -\frac{a\,x^{3/5}}{b}\right)}{3\,{\left(\frac{a\,x^{3/5}}{b}+1\right)}^{2/3}}","Not used",1,"(5*x*(a + b/x^(3/5))^(2/3)*hypergeom([-2/3, 1], 2, -(a*x^(3/5))/b))/(3*((a*x^(3/5))/b + 1)^(2/3))","B"
2451,1,20,21,1.334760,"\text{Not used}","int(x^3*(a + b*x^n),x)","\frac{a\,x^4}{4}+\frac{b\,x^n\,x^4}{n+4}","Not used",1,"(a*x^4)/4 + (b*x^n*x^4)/(n + 4)","B"
2452,1,20,21,1.264137,"\text{Not used}","int(x^2*(a + b*x^n),x)","\frac{a\,x^3}{3}+\frac{b\,x^n\,x^3}{n+3}","Not used",1,"(a*x^3)/3 + (b*x^n*x^3)/(n + 3)","B"
2453,1,20,21,1.239814,"\text{Not used}","int(x*(a + b*x^n),x)","\frac{a\,x^2}{2}+\frac{b\,x^n\,x^2}{n+2}","Not used",1,"(a*x^2)/2 + (b*x^n*x^2)/(n + 2)","B"
2454,1,15,16,1.280537,"\text{Not used}","int(a + b*x^n,x)","a\,x+\frac{b\,x\,x^n}{n+1}","Not used",1,"a*x + (b*x*x^n)/(n + 1)","B"
2455,1,13,13,1.187018,"\text{Not used}","int((a + b*x^n)/x,x)","a\,\ln\left(x\right)+\frac{b\,x^n}{n}","Not used",1,"a*log(x) + (b*x^n)/n","B"
2456,1,20,22,1.185867,"\text{Not used}","int((a + b*x^n)/x^2,x)","\frac{b\,x^n}{x\,\left(n-1\right)}-\frac{a}{x}","Not used",1,"(b*x^n)/(x*(n - 1)) - a/x","B"
2457,1,20,24,1.148815,"\text{Not used}","int((a + b*x^n)/x^3,x)","\frac{b\,x^n}{x^2\,\left(n-2\right)}-\frac{a}{2\,x^2}","Not used",1,"(b*x^n)/(x^2*(n - 2)) - a/(2*x^2)","B"
2458,1,43,44,1.313326,"\text{Not used}","int(x^3*(a + b*x^n)^2,x)","\frac{a^2\,x^4}{4}+\frac{b^2\,x^{2\,n}\,x^4}{2\,n+4}+\frac{2\,a\,b\,x^n\,x^4}{n+4}","Not used",1,"(a^2*x^4)/4 + (b^2*x^(2*n)*x^4)/(2*n + 4) + (2*a*b*x^n*x^4)/(n + 4)","B"
2459,1,43,43,1.310239,"\text{Not used}","int(x^2*(a + b*x^n)^2,x)","\frac{a^2\,x^3}{3}+\frac{b^2\,x^{2\,n}\,x^3}{2\,n+3}+\frac{2\,a\,b\,x^n\,x^3}{n+3}","Not used",1,"(a^2*x^3)/3 + (b^2*x^(2*n)*x^3)/(2*n + 3) + (2*a*b*x^n*x^3)/(n + 3)","B"
2460,1,43,44,1.243431,"\text{Not used}","int(x*(a + b*x^n)^2,x)","\frac{a^2\,x^2}{2}+\frac{b^2\,x^{2\,n}\,x^2}{2\,n+2}+\frac{2\,a\,b\,x^n\,x^2}{n+2}","Not used",1,"(a^2*x^2)/2 + (b^2*x^(2*n)*x^2)/(2*n + 2) + (2*a*b*x^n*x^2)/(n + 2)","B"
2461,1,36,38,1.183186,"\text{Not used}","int((a + b*x^n)^2,x)","a^2\,x+\frac{b^2\,x\,x^{2\,n}}{2\,n+1}+\frac{2\,a\,b\,x\,x^n}{n+1}","Not used",1,"a^2*x + (b^2*x*x^(2*n))/(2*n + 1) + (2*a*b*x*x^n)/(n + 1)","B"
2462,1,30,32,1.175051,"\text{Not used}","int((a + b*x^n)^2/x,x)","\frac{b^2\,x^{2\,n}+4\,a\,b\,x^n+2\,a^2\,n\,\ln\left(x\right)}{2\,n}","Not used",1,"(b^2*x^(2*n) + 4*a*b*x^n + 2*a^2*n*log(x))/(2*n)","B"
2463,1,43,44,1.164725,"\text{Not used}","int((a + b*x^n)^2/x^2,x)","\frac{b^2\,x^{2\,n}}{x\,\left(2\,n-1\right)}-\frac{a^2}{x}+\frac{2\,a\,b\,x^n}{x\,\left(n-1\right)}","Not used",1,"(b^2*x^(2*n))/(x*(2*n - 1)) - a^2/x + (2*a*b*x^n)/(x*(n - 1))","B"
2464,1,43,50,1.150175,"\text{Not used}","int((a + b*x^n)^2/x^3,x)","\frac{b^2\,x^{2\,n}}{x^2\,\left(2\,n-2\right)}-\frac{a^2}{2\,x^2}+\frac{2\,a\,b\,x^n}{x^2\,\left(n-2\right)}","Not used",1,"(b^2*x^(2*n))/(x^2*(2*n - 2)) - a^2/(2*x^2) + (2*a*b*x^n)/(x^2*(n - 2))","B"
2465,1,66,65,1.341325,"\text{Not used}","int(x^3*(a + b*x^n)^3,x)","\frac{a^3\,x^4}{4}+\frac{b^3\,x^{3\,n}\,x^4}{3\,n+4}+\frac{3\,a\,b^2\,x^{2\,n}\,x^4}{2\,n+4}+\frac{3\,a^2\,b\,x^n\,x^4}{n+4}","Not used",1,"(a^3*x^4)/4 + (b^3*x^(3*n)*x^4)/(3*n + 4) + (3*a*b^2*x^(2*n)*x^4)/(2*n + 4) + (3*a^2*b*x^n*x^4)/(n + 4)","B"
2466,1,66,66,1.321610,"\text{Not used}","int(x^2*(a + b*x^n)^3,x)","\frac{a^3\,x^3}{3}+\frac{b^3\,x^{3\,n}\,x^3}{3\,n+3}+\frac{3\,a\,b^2\,x^{2\,n}\,x^3}{2\,n+3}+\frac{3\,a^2\,b\,x^n\,x^3}{n+3}","Not used",1,"(a^3*x^3)/3 + (b^3*x^(3*n)*x^3)/(3*n + 3) + (3*a*b^2*x^(2*n)*x^3)/(2*n + 3) + (3*a^2*b*x^n*x^3)/(n + 3)","B"
2467,1,66,65,1.277651,"\text{Not used}","int(x*(a + b*x^n)^3,x)","\frac{a^3\,x^2}{2}+\frac{b^3\,x^{3\,n}\,x^2}{3\,n+2}+\frac{3\,a\,b^2\,x^{2\,n}\,x^2}{2\,n+2}+\frac{3\,a^2\,b\,x^n\,x^2}{n+2}","Not used",1,"(a^3*x^2)/2 + (b^3*x^(3*n)*x^2)/(3*n + 2) + (3*a*b^2*x^(2*n)*x^2)/(2*n + 2) + (3*a^2*b*x^n*x^2)/(n + 2)","B"
2468,1,57,60,1.191552,"\text{Not used}","int((a + b*x^n)^3,x)","a^3\,x+\frac{b^3\,x\,x^{3\,n}}{3\,n+1}+\frac{3\,a\,b^2\,x\,x^{2\,n}}{2\,n+1}+\frac{3\,a^2\,b\,x\,x^n}{n+1}","Not used",1,"a^3*x + (b^3*x*x^(3*n))/(3*n + 1) + (3*a*b^2*x*x^(2*n))/(2*n + 1) + (3*a^2*b*x*x^n)/(n + 1)","B"
2469,1,46,50,1.162427,"\text{Not used}","int((a + b*x^n)^3/x,x)","a^3\,\ln\left(x\right)+\frac{b^3\,x^{3\,n}}{3\,n}+\frac{3\,a^2\,b\,x^n}{n}+\frac{3\,a\,b^2\,x^{2\,n}}{2\,n}","Not used",1,"a^3*log(x) + (b^3*x^(3*n))/(3*n) + (3*a^2*b*x^n)/n + (3*a*b^2*x^(2*n))/(2*n)","B"
2470,1,66,66,1.170651,"\text{Not used}","int((a + b*x^n)^3/x^2,x)","\frac{b^3\,x^{3\,n}}{x\,\left(3\,n-1\right)}-\frac{a^3}{x}+\frac{3\,a\,b^2\,x^{2\,n}}{x\,\left(2\,n-1\right)}+\frac{3\,a^2\,b\,x^n}{x\,\left(n-1\right)}","Not used",1,"(b^3*x^(3*n))/(x*(3*n - 1)) - a^3/x + (3*a*b^2*x^(2*n))/(x*(2*n - 1)) + (3*a^2*b*x^n)/(x*(n - 1))","B"
2471,1,66,72,1.180298,"\text{Not used}","int((a + b*x^n)^3/x^3,x)","\frac{b^3\,x^{3\,n}}{x^2\,\left(3\,n-2\right)}-\frac{a^3}{2\,x^2}+\frac{3\,a\,b^2\,x^{2\,n}}{x^2\,\left(2\,n-2\right)}+\frac{3\,a^2\,b\,x^n}{x^2\,\left(n-2\right)}","Not used",1,"(b^3*x^(3*n))/(x^2*(3*n - 2)) - a^3/(2*x^2) + (3*a*b^2*x^(2*n))/(x^2*(2*n - 2)) + (3*a^2*b*x^n)/(x^2*(n - 2))","B"
2472,0,-1,33,0.000000,"\text{Not used}","int(x/(a + b*x^n),x)","\int \frac{x}{a+b\,x^n} \,d x","Not used",1,"int(x/(a + b*x^n), x)","F"
2473,1,25,24,1.237395,"\text{Not used}","int(1/(a + b*x^n),x)","\frac{x\,{{}}_2{\mathrm{F}}_1\left(1,\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{a}","Not used",1,"(x*hypergeom([1, 1/n], 1/n + 1, -(b*x^n)/a))/a","B"
2474,1,22,23,1.161588,"\text{Not used}","int(1/(x*(a + b*x^n)),x)","-\frac{\ln\left(a+b\,x^n\right)-n\,\ln\left(x\right)}{a\,n}","Not used",1,"-(log(a + b*x^n) - n*log(x))/(a*n)","B"
2475,0,-1,34,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x^n)),x)","\int \frac{1}{x^2\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^2*(a + b*x^n)), x)","F"
2476,0,-1,36,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^n)),x)","\int \frac{1}{x^3\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^3*(a + b*x^n)), x)","F"
2477,0,-1,33,0.000000,"\text{Not used}","int(x/(a + b*x^n)^2,x)","\int \frac{x}{{\left(a+b\,x^n\right)}^2} \,d x","Not used",1,"int(x/(a + b*x^n)^2, x)","F"
2478,1,25,24,1.168076,"\text{Not used}","int(1/(a + b*x^n)^2,x)","\frac{x\,{{}}_2{\mathrm{F}}_1\left(2,\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{a^2}","Not used",1,"(x*hypergeom([2, 1/n], 1/n + 1, -(b*x^n)/a))/a^2","B"
2479,1,39,39,1.138149,"\text{Not used}","int(1/(x*(a + b*x^n)^2),x)","\frac{\ln\left(x\right)}{a^2}+\frac{1}{a\,n\,\left(a+b\,x^n\right)}-\frac{\ln\left(a+b\,x^n\right)}{a^2\,n}","Not used",1,"log(x)/a^2 + 1/(a*n*(a + b*x^n)) - log(a + b*x^n)/(a^2*n)","B"
2480,0,-1,34,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x^n)^2),x)","\int \frac{1}{x^2\,{\left(a+b\,x^n\right)}^2} \,d x","Not used",1,"int(1/(x^2*(a + b*x^n)^2), x)","F"
2481,0,-1,36,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^n)^2),x)","\int \frac{1}{x^3\,{\left(a+b\,x^n\right)}^2} \,d x","Not used",1,"int(1/(x^3*(a + b*x^n)^2), x)","F"
2482,0,-1,33,0.000000,"\text{Not used}","int(x/(a + b*x^n)^3,x)","\int \frac{x}{{\left(a+b\,x^n\right)}^3} \,d x","Not used",1,"int(x/(a + b*x^n)^3, x)","F"
2483,1,25,24,1.180883,"\text{Not used}","int(1/(a + b*x^n)^3,x)","\frac{x\,{{}}_2{\mathrm{F}}_1\left(3,\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{a^3}","Not used",1,"(x*hypergeom([3, 1/n], 1/n + 1, -(b*x^n)/a))/a^3","B"
2484,1,69,58,1.153250,"\text{Not used}","int(1/(x*(a + b*x^n)^3),x)","\frac{\ln\left(x\right)}{a^3}+\frac{1}{a^2\,n\,\left(a+b\,x^n\right)}-\frac{\ln\left(a+b\,x^n\right)}{a^3\,n}+\frac{1}{2\,a\,n\,\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}","Not used",1,"log(x)/a^3 + 1/(a^2*n*(a + b*x^n)) - log(a + b*x^n)/(a^3*n) + 1/(2*a*n*(a^2 + b^2*x^(2*n) + 2*a*b*x^n))","B"
2485,0,-1,34,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x^n)^3),x)","\int \frac{1}{x^2\,{\left(a+b\,x^n\right)}^3} \,d x","Not used",1,"int(1/(x^2*(a + b*x^n)^3), x)","F"
2486,0,-1,36,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^n)^3),x)","\int \frac{1}{x^3\,{\left(a+b\,x^n\right)}^3} \,d x","Not used",1,"int(1/(x^3*(a + b*x^n)^3), x)","F"
2487,0,-1,48,0.000000,"\text{Not used}","int(x*(a + b*x^n)^(1/2),x)","\int x\,\sqrt{a+b\,x^n} \,d x","Not used",1,"int(x*(a + b*x^n)^(1/2), x)","F"
2488,1,43,39,1.460370,"\text{Not used}","int((a + b*x^n)^(1/2),x)","\frac{x\,\sqrt{a+b\,x^n}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{\sqrt{\frac{b\,x^n}{a}+1}}","Not used",1,"(x*(a + b*x^n)^(1/2)*hypergeom([-1/2, 1/n], 1/n + 1, -(b*x^n)/a))/((b*x^n)/a + 1)^(1/2)","B"
2489,0,-1,45,0.000000,"\text{Not used}","int((a + b*x^n)^(1/2)/x,x)","\int \frac{\sqrt{a+b\,x^n}}{x} \,d x","Not used",1,"int((a + b*x^n)^(1/2)/x, x)","F"
2490,0,-1,49,0.000000,"\text{Not used}","int((a + b*x^n)^(1/2)/x^2,x)","\int \frac{\sqrt{a+b\,x^n}}{x^2} \,d x","Not used",1,"int((a + b*x^n)^(1/2)/x^2, x)","F"
2491,0,-1,51,0.000000,"\text{Not used}","int((a + b*x^n)^(1/2)/x^3,x)","\int \frac{\sqrt{a+b\,x^n}}{x^3} \,d x","Not used",1,"int((a + b*x^n)^(1/2)/x^3, x)","F"
2492,0,-1,48,0.000000,"\text{Not used}","int(x*(a + b*x^n)^(3/2),x)","\int x\,{\left(a+b\,x^n\right)}^{3/2} \,d x","Not used",1,"int(x*(a + b*x^n)^(3/2), x)","F"
2493,1,43,39,1.192794,"\text{Not used}","int((a + b*x^n)^(3/2),x)","\frac{x\,{\left(a+b\,x^n\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{{\left(\frac{b\,x^n}{a}+1\right)}^{3/2}}","Not used",1,"(x*(a + b*x^n)^(3/2)*hypergeom([-3/2, 1/n], 1/n + 1, -(b*x^n)/a))/((b*x^n)/a + 1)^(3/2)","B"
2494,0,-1,64,0.000000,"\text{Not used}","int((a + b*x^n)^(3/2)/x,x)","\int \frac{{\left(a+b\,x^n\right)}^{3/2}}{x} \,d x","Not used",1,"int((a + b*x^n)^(3/2)/x, x)","F"
2495,0,-1,49,0.000000,"\text{Not used}","int((a + b*x^n)^(3/2)/x^2,x)","\int \frac{{\left(a+b\,x^n\right)}^{3/2}}{x^2} \,d x","Not used",1,"int((a + b*x^n)^(3/2)/x^2, x)","F"
2496,0,-1,51,0.000000,"\text{Not used}","int((a + b*x^n)^(3/2)/x^3,x)","\int \frac{{\left(a+b\,x^n\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((a + b*x^n)^(3/2)/x^3, x)","F"
2497,0,-1,48,0.000000,"\text{Not used}","int(x*(a + b*x^n)^(5/2),x)","\int x\,{\left(a+b\,x^n\right)}^{5/2} \,d x","Not used",1,"int(x*(a + b*x^n)^(5/2), x)","F"
2498,1,43,39,1.228444,"\text{Not used}","int((a + b*x^n)^(5/2),x)","\frac{x\,{\left(a+b\,x^n\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{2},\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{{\left(\frac{b\,x^n}{a}+1\right)}^{5/2}}","Not used",1,"(x*(a + b*x^n)^(5/2)*hypergeom([-5/2, 1/n], 1/n + 1, -(b*x^n)/a))/((b*x^n)/a + 1)^(5/2)","B"
2499,0,-1,85,0.000000,"\text{Not used}","int((a + b*x^n)^(5/2)/x,x)","\int \frac{{\left(a+b\,x^n\right)}^{5/2}}{x} \,d x","Not used",1,"int((a + b*x^n)^(5/2)/x, x)","F"
2500,0,-1,49,0.000000,"\text{Not used}","int((a + b*x^n)^(5/2)/x^2,x)","\int \frac{{\left(a+b\,x^n\right)}^{5/2}}{x^2} \,d x","Not used",1,"int((a + b*x^n)^(5/2)/x^2, x)","F"
2501,0,-1,51,0.000000,"\text{Not used}","int((a + b*x^n)^(5/2)/x^3,x)","\int \frac{{\left(a+b\,x^n\right)}^{5/2}}{x^3} \,d x","Not used",1,"int((a + b*x^n)^(5/2)/x^3, x)","F"
2502,0,-1,48,0.000000,"\text{Not used}","int(x/(a + b*x^n)^(1/2),x)","\int \frac{x}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x/(a + b*x^n)^(1/2), x)","F"
2503,1,43,39,1.385461,"\text{Not used}","int(1/(a + b*x^n)^(1/2),x)","\frac{x\,\sqrt{\frac{b\,x^n}{a}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{\sqrt{a+b\,x^n}}","Not used",1,"(x*((b*x^n)/a + 1)^(1/2)*hypergeom([1/2, 1/n], 1/n + 1, -(b*x^n)/a))/(a + b*x^n)^(1/2)","B"
2504,0,-1,28,0.000000,"\text{Not used}","int(1/(x*(a + b*x^n)^(1/2)),x)","\int \frac{1}{x\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/(x*(a + b*x^n)^(1/2)), x)","F"
2505,0,-1,49,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x^n)^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/(x^2*(a + b*x^n)^(1/2)), x)","F"
2506,0,-1,51,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^n)^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^n)^(1/2)), x)","F"
2507,0,-1,48,0.000000,"\text{Not used}","int(x/(a + b*x^n)^(3/2),x)","\int \frac{x}{{\left(a+b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(x/(a + b*x^n)^(3/2), x)","F"
2508,1,43,39,1.281109,"\text{Not used}","int(1/(a + b*x^n)^(3/2),x)","\frac{x\,{\left(\frac{b\,x^n}{a}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{2},\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{{\left(a+b\,x^n\right)}^{3/2}}","Not used",1,"(x*((b*x^n)/a + 1)^(3/2)*hypergeom([3/2, 1/n], 1/n + 1, -(b*x^n)/a))/(a + b*x^n)^(3/2)","B"
2509,0,-1,48,0.000000,"\text{Not used}","int(1/(x*(a + b*x^n)^(3/2)),x)","\int \frac{1}{x\,{\left(a+b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(a + b*x^n)^(3/2)), x)","F"
2510,0,-1,49,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x^n)^(3/2)),x)","\int \frac{1}{x^2\,{\left(a+b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(a + b*x^n)^(3/2)), x)","F"
2511,0,-1,51,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^n)^(3/2)),x)","\int \frac{1}{x^3\,{\left(a+b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^n)^(3/2)), x)","F"
2512,0,-1,48,0.000000,"\text{Not used}","int(x/(a + b*x^n)^(5/2),x)","\int \frac{x}{{\left(a+b\,x^n\right)}^{5/2}} \,d x","Not used",1,"int(x/(a + b*x^n)^(5/2), x)","F"
2513,1,43,39,1.361485,"\text{Not used}","int(1/(a + b*x^n)^(5/2),x)","\frac{x\,{\left(\frac{b\,x^n}{a}+1\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{5}{2},\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{{\left(a+b\,x^n\right)}^{5/2}}","Not used",1,"(x*((b*x^n)/a + 1)^(5/2)*hypergeom([5/2, 1/n], 1/n + 1, -(b*x^n)/a))/(a + b*x^n)^(5/2)","B"
2514,0,-1,69,0.000000,"\text{Not used}","int(1/(x*(a + b*x^n)^(5/2)),x)","\int \frac{1}{x\,{\left(a+b\,x^n\right)}^{5/2}} \,d x","Not used",1,"int(1/(x*(a + b*x^n)^(5/2)), x)","F"
2515,0,-1,49,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x^n)^(5/2)),x)","\int \frac{1}{x^2\,{\left(a+b\,x^n\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^2*(a + b*x^n)^(5/2)), x)","F"
2516,0,-1,51,0.000000,"\text{Not used}","int(1/(x^3*(a + b*x^n)^(5/2)),x)","\int \frac{1}{x^3\,{\left(a+b\,x^n\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^3*(a + b*x^n)^(5/2)), x)","F"
2517,0,-1,106,0.000000,"\text{Not used}","int((a + b*x^n)^(1/3)/x,x)","\int \frac{{\left(a+b\,x^n\right)}^{1/3}}{x} \,d x","Not used",1,"int((a + b*x^n)^(1/3)/x, x)","F"
2518,1,20,27,1.264676,"\text{Not used}","int(x^(4*n - 1)*(a + b*x^n),x)","\frac{x^{4\,n}\,\left(5\,a+4\,b\,x^n\right)}{20\,n}","Not used",1,"(x^(4*n)*(5*a + 4*b*x^n))/(20*n)","B"
2519,1,20,27,1.269617,"\text{Not used}","int(x^(3*n - 1)*(a + b*x^n),x)","\frac{x^{3\,n}\,\left(4\,a+3\,b\,x^n\right)}{12\,n}","Not used",1,"(x^(3*n)*(4*a + 3*b*x^n))/(12*n)","B"
2520,1,20,27,1.255642,"\text{Not used}","int(x^(2*n - 1)*(a + b*x^n),x)","\frac{x^{2\,n}\,\left(3\,a+2\,b\,x^n\right)}{6\,n}","Not used",1,"(x^(2*n)*(3*a + 2*b*x^n))/(6*n)","B"
2521,1,15,22,1.236575,"\text{Not used}","int(x^(n - 1)*(a + b*x^n),x)","\frac{x^n\,\left(a+\frac{b\,x^n}{2}\right)}{n}","Not used",1,"(x^n*(a + (b*x^n)/2))/n","B"
2522,1,13,13,0.002001,"\text{Not used}","int((a + b*x^n)/x,x)","a\,\ln\left(x\right)+\frac{b\,x^n}{n}","Not used",1,"a*log(x) + (b*x^n)/n","B"
2523,1,29,16,1.412321,"\text{Not used}","int((a + b*x^n)/x^(n + 1),x)","\left\{\begin{array}{cl} \ln\left(x\right)\,\left(a+b\right) & \text{\ if\ \ }n=0\\ b\,\ln\left(x\right)-\frac{a}{n\,x^n} & \text{\ if\ \ }n\neq 0 \end{array}\right.","Not used",1,"piecewise(n == 0, log(x)*(a + b), n ~= 0, b*log(x) - a/(n*x^n))","B"
2524,1,20,25,1.206829,"\text{Not used}","int((a + b*x^n)/x^(2*n + 1),x)","-\frac{a+2\,b\,x^n}{2\,n\,x^{2\,n}}","Not used",1,"-(a + 2*b*x^n)/(2*n*x^(2*n))","B"
2525,1,22,27,1.203596,"\text{Not used}","int((a + b*x^n)/x^(3*n + 1),x)","-\frac{2\,a+3\,b\,x^n}{6\,n\,x^{3\,n}}","Not used",1,"-(2*a + 3*b*x^n)/(6*n*x^(3*n))","B"
2526,1,22,27,1.228634,"\text{Not used}","int((a + b*x^n)/x^(4*n + 1),x)","-\frac{3\,a+4\,b\,x^n}{12\,n\,x^{4\,n}}","Not used",1,"-(3*a + 4*b*x^n)/(12*n*x^(4*n))","B"
2527,1,22,27,1.221412,"\text{Not used}","int((a + b*x^n)/x^(5*n + 1),x)","-\frac{4\,a+5\,b\,x^n}{20\,n\,x^{5\,n}}","Not used",1,"-(4*a + 5*b*x^n)/(20*n*x^(5*n))","B"
2528,1,33,45,1.336508,"\text{Not used}","int(x^(4*n - 1)*(a + b*x^n)^2,x)","\frac{x^{4\,n}\,\left(15\,a^2+10\,b^2\,x^{2\,n}+24\,a\,b\,x^n\right)}{60\,n}","Not used",1,"(x^(4*n)*(15*a^2 + 10*b^2*x^(2*n) + 24*a*b*x^n))/(60*n)","B"
2529,1,33,45,1.314763,"\text{Not used}","int(x^(3*n - 1)*(a + b*x^n)^2,x)","\frac{x^{3\,n}\,\left(10\,a^2+6\,b^2\,x^{2\,n}+15\,a\,b\,x^n\right)}{30\,n}","Not used",1,"(x^(3*n)*(10*a^2 + 6*b^2*x^(2*n) + 15*a*b*x^n))/(30*n)","B"
2530,1,33,45,1.290299,"\text{Not used}","int(x^(2*n - 1)*(a + b*x^n)^2,x)","\frac{x^{2\,n}\,\left(6\,a^2+3\,b^2\,x^{2\,n}+8\,a\,b\,x^n\right)}{12\,n}","Not used",1,"(x^(2*n)*(6*a^2 + 3*b^2*x^(2*n) + 8*a*b*x^n))/(12*n)","B"
2531,1,27,19,1.272730,"\text{Not used}","int(x^(n - 1)*(a + b*x^n)^2,x)","\frac{x^n\,\left(a^2+\frac{b^2\,x^{2\,n}}{3}+a\,b\,x^n\right)}{n}","Not used",1,"(x^n*(a^2 + (b^2*x^(2*n))/3 + a*b*x^n))/n","B"
2532,1,30,32,0.002206,"\text{Not used}","int((a + b*x^n)^2/x,x)","\frac{b^2\,x^{2\,n}+4\,a\,b\,x^n+2\,a^2\,n\,\ln\left(x\right)}{2\,n}","Not used",1,"(b^2*x^(2*n) + 4*a*b*x^n + 2*a^2*n*log(x))/(2*n)","B"
2533,1,30,30,1.319034,"\text{Not used}","int((a + b*x^n)^2/x^(n + 1),x)","2\,a\,b\,\ln\left(x\right)+\frac{b^2\,x^n}{n}-\frac{a^2}{n\,x^n}","Not used",1,"2*a*b*log(x) + (b^2*x^n)/n - a^2/(n*x^n)","B"
2534,1,34,34,1.332805,"\text{Not used}","int((a + b*x^n)^2/x^(2*n + 1),x)","b^2\,\ln\left(x\right)-\frac{a^2}{2\,n\,x^{2\,n}}-\frac{2\,a\,b}{n\,x^n}","Not used",1,"b^2*log(x) - a^2/(2*n*x^(2*n)) - (2*a*b)/(n*x^n)","B"
2535,1,33,24,1.335390,"\text{Not used}","int((a + b*x^n)^2/x^(3*n + 1),x)","-\frac{a^2+3\,b^2\,x^{2\,n}+3\,a\,b\,x^n}{3\,n\,x^{3\,n}}","Not used",1,"-(a^2 + 3*b^2*x^(2*n) + 3*a*b*x^n)/(3*n*x^(3*n))","B"
2536,1,35,45,1.295733,"\text{Not used}","int((a + b*x^n)^2/x^(4*n + 1),x)","-\frac{3\,a^2+6\,b^2\,x^{2\,n}+8\,a\,b\,x^n}{12\,n\,x^{4\,n}}","Not used",1,"-(3*a^2 + 6*b^2*x^(2*n) + 8*a*b*x^n)/(12*n*x^(4*n))","B"
2537,1,35,45,1.277972,"\text{Not used}","int((a + b*x^n)^2/x^(5*n + 1),x)","-\frac{6\,a^2+10\,b^2\,x^{2\,n}+15\,a\,b\,x^n}{30\,n\,x^{5\,n}}","Not used",1,"-(6*a^2 + 10*b^2*x^(2*n) + 15*a*b*x^n)/(30*n*x^(5*n))","B"
2538,1,35,45,1.293304,"\text{Not used}","int((a + b*x^n)^2/x^(6*n + 1),x)","-\frac{10\,a^2+15\,b^2\,x^{2\,n}+24\,a\,b\,x^n}{60\,n\,x^{6\,n}}","Not used",1,"-(10*a^2 + 15*b^2*x^(2*n) + 24*a*b*x^n)/(60*n*x^(6*n))","B"
2539,1,55,63,1.359351,"\text{Not used}","int(x^(4*n - 1)*(a + b*x^n)^3,x)","\frac{a^3\,x^{4\,n}}{4\,n}+\frac{b^3\,x^{7\,n}}{7\,n}+\frac{3\,a^2\,b\,x^{5\,n}}{5\,n}+\frac{a\,b^2\,x^{6\,n}}{2\,n}","Not used",1,"(a^3*x^(4*n))/(4*n) + (b^3*x^(7*n))/(7*n) + (3*a^2*b*x^(5*n))/(5*n) + (a*b^2*x^(6*n))/(2*n)","B"
2540,1,55,63,1.342074,"\text{Not used}","int(x^(3*n - 1)*(a + b*x^n)^3,x)","\frac{a^3\,x^{3\,n}}{3\,n}+\frac{b^3\,x^{6\,n}}{6\,n}+\frac{3\,a^2\,b\,x^{4\,n}}{4\,n}+\frac{3\,a\,b^2\,x^{5\,n}}{5\,n}","Not used",1,"(a^3*x^(3*n))/(3*n) + (b^3*x^(6*n))/(6*n) + (3*a^2*b*x^(4*n))/(4*n) + (3*a*b^2*x^(5*n))/(5*n)","B"
2541,1,54,40,1.330736,"\text{Not used}","int(x^(2*n - 1)*(a + b*x^n)^3,x)","\frac{a^3\,x^{2\,n}}{2\,n}+\frac{b^3\,x^{5\,n}}{5\,n}+\frac{a^2\,b\,x^{3\,n}}{n}+\frac{3\,a\,b^2\,x^{4\,n}}{4\,n}","Not used",1,"(a^3*x^(2*n))/(2*n) + (b^3*x^(5*n))/(5*n) + (a^2*b*x^(3*n))/n + (3*a*b^2*x^(4*n))/(4*n)","B"
2542,1,51,19,1.296926,"\text{Not used}","int(x^(n - 1)*(a + b*x^n)^3,x)","\frac{a^3\,x^n}{n}+\frac{b^3\,x^{4\,n}}{4\,n}+\frac{3\,a^2\,b\,x^{2\,n}}{2\,n}+\frac{a\,b^2\,x^{3\,n}}{n}","Not used",1,"(a^3*x^n)/n + (b^3*x^(4*n))/(4*n) + (3*a^2*b*x^(2*n))/(2*n) + (a*b^2*x^(3*n))/n","B"
2543,1,46,50,0.002031,"\text{Not used}","int((a + b*x^n)^3/x,x)","a^3\,\ln\left(x\right)+\frac{b^3\,x^{3\,n}}{3\,n}+\frac{3\,a^2\,b\,x^n}{n}+\frac{3\,a\,b^2\,x^{2\,n}}{2\,n}","Not used",1,"a^3*log(x) + (b^3*x^(3*n))/(3*n) + (3*a^2*b*x^n)/n + (3*a*b^2*x^(2*n))/(2*n)","B"
2544,1,47,49,1.402212,"\text{Not used}","int((a + b*x^n)^3/x^(n + 1),x)","3\,a^2\,b\,\ln\left(x\right)-\frac{a^3}{n\,x^n}+\frac{b^3\,x^{2\,n}}{2\,n}+\frac{3\,a\,b^2\,x^n}{n}","Not used",1,"3*a^2*b*log(x) - a^3/(n*x^n) + (b^3*x^(2*n))/(2*n) + (3*a*b^2*x^n)/n","B"
2545,1,48,48,1.363965,"\text{Not used}","int((a + b*x^n)^3/x^(2*n + 1),x)","\frac{b^3\,x^n}{n}+3\,a\,b^2\,\ln\left(x\right)-\frac{a^3}{2\,n\,x^{2\,n}}-\frac{3\,a^2\,b}{n\,x^n}","Not used",1,"(b^3*x^n)/n + 3*a*b^2*log(x) - a^3/(2*n*x^(2*n)) - (3*a^2*b)/(n*x^n)","B"
2546,1,52,52,1.344279,"\text{Not used}","int((a + b*x^n)^3/x^(3*n + 1),x)","b^3\,\ln\left(x\right)-\frac{a^3}{3\,n\,x^{3\,n}}-\frac{3\,a\,b^2}{n\,x^n}-\frac{3\,a^2\,b}{2\,n\,x^{2\,n}}","Not used",1,"b^3*log(x) - a^3/(3*n*x^(3*n)) - (3*a*b^2)/(n*x^n) - (3*a^2*b)/(2*n*x^(2*n))","B"
2547,1,61,24,1.356694,"\text{Not used}","int((a + b*x^n)^3/x^(4*n + 1),x)","-\frac{a^3}{4\,n\,x^{4\,n}}-\frac{b^3}{n\,x^n}-\frac{3\,a\,b^2}{2\,n\,x^{2\,n}}-\frac{a^2\,b}{n\,x^{3\,n}}","Not used",1,"- a^3/(4*n*x^(4*n)) - b^3/(n*x^n) - (3*a*b^2)/(2*n*x^(2*n)) - (a^2*b)/(n*x^(3*n))","B"
2548,1,63,50,1.312917,"\text{Not used}","int((a + b*x^n)^3/x^(5*n + 1),x)","-\frac{a^3}{5\,n\,x^{5\,n}}-\frac{b^3}{2\,n\,x^{2\,n}}-\frac{a\,b^2}{n\,x^{3\,n}}-\frac{3\,a^2\,b}{4\,n\,x^{4\,n}}","Not used",1,"- a^3/(5*n*x^(5*n)) - b^3/(2*n*x^(2*n)) - (a*b^2)/(n*x^(3*n)) - (3*a^2*b)/(4*n*x^(4*n))","B"
2549,1,63,63,1.372388,"\text{Not used}","int((a + b*x^n)^3/x^(6*n + 1),x)","-\frac{a^3}{6\,n\,x^{6\,n}}-\frac{b^3}{3\,n\,x^{3\,n}}-\frac{3\,a\,b^2}{4\,n\,x^{4\,n}}-\frac{3\,a^2\,b}{5\,n\,x^{5\,n}}","Not used",1,"- a^3/(6*n*x^(6*n)) - b^3/(3*n*x^(3*n)) - (3*a*b^2)/(4*n*x^(4*n)) - (3*a^2*b)/(5*n*x^(5*n))","B"
2550,1,63,63,1.365289,"\text{Not used}","int((a + b*x^n)^3/x^(7*n + 1),x)","-\frac{a^3}{7\,n\,x^{7\,n}}-\frac{b^3}{4\,n\,x^{4\,n}}-\frac{3\,a\,b^2}{5\,n\,x^{5\,n}}-\frac{a^2\,b}{2\,n\,x^{6\,n}}","Not used",1,"- a^3/(7*n*x^(7*n)) - b^3/(4*n*x^(4*n)) - (3*a*b^2)/(5*n*x^(5*n)) - (a^2*b)/(2*n*x^(6*n))","B"
2551,1,86,84,1.416993,"\text{Not used}","int(x^(4*n - 1)*(a + b*x^n)^5,x)","\frac{a^5\,x^{4\,n}}{4\,n}+\frac{b^5\,x^{9\,n}}{9\,n}+\frac{5\,a^3\,b^2\,x^{6\,n}}{3\,n}+\frac{10\,a^2\,b^3\,x^{7\,n}}{7\,n}+\frac{a^4\,b\,x^{5\,n}}{n}+\frac{5\,a\,b^4\,x^{8\,n}}{8\,n}","Not used",1,"(a^5*x^(4*n))/(4*n) + (b^5*x^(9*n))/(9*n) + (5*a^3*b^2*x^(6*n))/(3*n) + (10*a^2*b^3*x^(7*n))/(7*n) + (a^4*b*x^(5*n))/n + (5*a*b^4*x^(8*n))/(8*n)","B"
2552,1,87,62,1.348844,"\text{Not used}","int(x^(3*n - 1)*(a + b*x^n)^5,x)","\frac{a^5\,x^{3\,n}}{3\,n}+\frac{b^5\,x^{8\,n}}{8\,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^4\,b\,x^{4\,n}}{4\,n}+\frac{5\,a\,b^4\,x^{7\,n}}{7\,n}","Not used",1,"(a^5*x^(3*n))/(3*n) + (b^5*x^(8*n))/(8*n) + (2*a^3*b^2*x^(5*n))/n + (5*a^2*b^3*x^(6*n))/(3*n) + (5*a^4*b*x^(4*n))/(4*n) + (5*a*b^4*x^(7*n))/(7*n)","B"
2553,1,87,40,1.356706,"\text{Not used}","int(x^(2*n - 1)*(a + b*x^n)^5,x)","\frac{a^5\,x^{2\,n}}{2\,n}+\frac{b^5\,x^{7\,n}}{7\,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^4\,b\,x^{3\,n}}{3\,n}+\frac{5\,a\,b^4\,x^{6\,n}}{6\,n}","Not used",1,"(a^5*x^(2*n))/(2*n) + (b^5*x^(7*n))/(7*n) + (5*a^3*b^2*x^(4*n))/(2*n) + (2*a^2*b^3*x^(5*n))/n + (5*a^4*b*x^(3*n))/(3*n) + (5*a*b^4*x^(6*n))/(6*n)","B"
2554,1,83,19,1.359158,"\text{Not used}","int(x^(n - 1)*(a + b*x^n)^5,x)","\frac{a^5\,x^n}{n}+\frac{b^5\,x^{6\,n}}{6\,n}+\frac{10\,a^3\,b^2\,x^{3\,n}}{3\,n}+\frac{5\,a^2\,b^3\,x^{4\,n}}{2\,n}+\frac{5\,a^4\,b\,x^{2\,n}}{2\,n}+\frac{a\,b^4\,x^{5\,n}}{n}","Not used",1,"(a^5*x^n)/n + (b^5*x^(6*n))/(6*n) + (10*a^3*b^2*x^(3*n))/(3*n) + (5*a^2*b^3*x^(4*n))/(2*n) + (5*a^4*b*x^(2*n))/(2*n) + (a*b^4*x^(5*n))/n","B"
2555,1,78,84,1.221154,"\text{Not used}","int((a + b*x^n)^5/x,x)","a^5\,\ln\left(x\right)+\frac{b^5\,x^{5\,n}}{5\,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^4\,b\,x^n}{n}+\frac{5\,a\,b^4\,x^{4\,n}}{4\,n}","Not used",1,"a^5*log(x) + (b^5*x^(5*n))/(5*n) + (5*a^3*b^2*x^(2*n))/n + (10*a^2*b^3*x^(3*n))/(3*n) + (5*a^4*b*x^n)/n + (5*a*b^4*x^(4*n))/(4*n)","B"
2556,1,79,83,1.520302,"\text{Not used}","int((a + b*x^n)^5/x^(n + 1),x)","5\,a^4\,b\,\ln\left(x\right)-\frac{a^5}{n\,x^n}+\frac{b^5\,x^{4\,n}}{4\,n}+\frac{5\,a^2\,b^3\,x^{2\,n}}{n}+\frac{5\,a\,b^4\,x^{3\,n}}{3\,n}+\frac{10\,a^3\,b^2\,x^n}{n}","Not used",1,"5*a^4*b*log(x) - a^5/(n*x^n) + (b^5*x^(4*n))/(4*n) + (5*a^2*b^3*x^(2*n))/n + (5*a*b^4*x^(3*n))/(3*n) + (10*a^3*b^2*x^n)/n","B"
2557,1,81,85,1.436600,"\text{Not used}","int((a + b*x^n)^5/x^(2*n + 1),x)","\frac{b^5\,x^{3\,n}}{3\,n}-\frac{a^5}{2\,n\,x^{2\,n}}+10\,a^3\,b^2\,\ln\left(x\right)-\frac{5\,a^4\,b}{n\,x^n}+\frac{5\,a\,b^4\,x^{2\,n}}{2\,n}+\frac{10\,a^2\,b^3\,x^n}{n}","Not used",1,"(b^5*x^(3*n))/(3*n) - a^5/(2*n*x^(2*n)) + 10*a^3*b^2*log(x) - (5*a^4*b)/(n*x^n) + (5*a*b^4*x^(2*n))/(2*n) + (10*a^2*b^3*x^n)/n","B"
2558,1,83,85,1.434668,"\text{Not used}","int((a + b*x^n)^5/x^(3*n + 1),x)","\frac{b^5\,x^{2\,n}}{2\,n}-\frac{a^5}{3\,n\,x^{3\,n}}+10\,a^2\,b^3\,\ln\left(x\right)-\frac{10\,a^3\,b^2}{n\,x^n}+\frac{5\,a\,b^4\,x^n}{n}-\frac{5\,a^4\,b}{2\,n\,x^{2\,n}}","Not used",1,"(b^5*x^(2*n))/(2*n) - a^5/(3*n*x^(3*n)) + 10*a^2*b^3*log(x) - (10*a^3*b^2)/(n*x^n) + (5*a*b^4*x^n)/n - (5*a^4*b)/(2*n*x^(2*n))","B"
2559,1,84,82,1.414657,"\text{Not used}","int((a + b*x^n)^5/x^(4*n + 1),x)","\frac{b^5\,x^n}{n}+5\,a\,b^4\,\ln\left(x\right)-\frac{a^5}{4\,n\,x^{4\,n}}-\frac{10\,a^2\,b^3}{n\,x^n}-\frac{5\,a^3\,b^2}{n\,x^{2\,n}}-\frac{5\,a^4\,b}{3\,n\,x^{3\,n}}","Not used",1,"(b^5*x^n)/n + 5*a*b^4*log(x) - a^5/(4*n*x^(4*n)) - (10*a^2*b^3)/(n*x^n) - (5*a^3*b^2)/(n*x^(2*n)) - (5*a^4*b)/(3*n*x^(3*n))","B"
2560,1,88,86,1.428344,"\text{Not used}","int((a + b*x^n)^5/x^(5*n + 1),x)","b^5\,\ln\left(x\right)-\frac{a^5}{5\,n\,x^{5\,n}}-\frac{5\,a^2\,b^3}{n\,x^{2\,n}}-\frac{10\,a^3\,b^2}{3\,n\,x^{3\,n}}-\frac{5\,a\,b^4}{n\,x^n}-\frac{5\,a^4\,b}{4\,n\,x^{4\,n}}","Not used",1,"b^5*log(x) - a^5/(5*n*x^(5*n)) - (5*a^2*b^3)/(n*x^(2*n)) - (10*a^3*b^2)/(3*n*x^(3*n)) - (5*a*b^4)/(n*x^n) - (5*a^4*b)/(4*n*x^(4*n))","B"
2561,1,97,24,1.371112,"\text{Not used}","int((a + b*x^n)^5/x^(6*n + 1),x)","-\frac{a^5}{6\,n\,x^{6\,n}}-\frac{b^5}{n\,x^n}-\frac{10\,a^2\,b^3}{3\,n\,x^{3\,n}}-\frac{5\,a^3\,b^2}{2\,n\,x^{4\,n}}-\frac{5\,a\,b^4}{2\,n\,x^{2\,n}}-\frac{a^4\,b}{n\,x^{5\,n}}","Not used",1,"- a^5/(6*n*x^(6*n)) - b^5/(n*x^n) - (10*a^2*b^3)/(3*n*x^(3*n)) - (5*a^3*b^2)/(2*n*x^(4*n)) - (5*a*b^4)/(2*n*x^(2*n)) - (a^4*b)/(n*x^(5*n))","B"
2562,1,99,50,1.341481,"\text{Not used}","int((a + b*x^n)^5/x^(7*n + 1),x)","-\frac{a^5}{7\,n\,x^{7\,n}}-\frac{b^5}{2\,n\,x^{2\,n}}-\frac{5\,a^2\,b^3}{2\,n\,x^{4\,n}}-\frac{2\,a^3\,b^2}{n\,x^{5\,n}}-\frac{5\,a\,b^4}{3\,n\,x^{3\,n}}-\frac{5\,a^4\,b}{6\,n\,x^{6\,n}}","Not used",1,"- a^5/(7*n*x^(7*n)) - b^5/(2*n*x^(2*n)) - (5*a^2*b^3)/(2*n*x^(4*n)) - (2*a^3*b^2)/(n*x^(5*n)) - (5*a*b^4)/(3*n*x^(3*n)) - (5*a^4*b)/(6*n*x^(6*n))","B"
2563,1,99,77,1.358955,"\text{Not used}","int((a + b*x^n)^5/x^(8*n + 1),x)","-\frac{a^5}{8\,n\,x^{8\,n}}-\frac{b^5}{3\,n\,x^{3\,n}}-\frac{2\,a^2\,b^3}{n\,x^{5\,n}}-\frac{5\,a^3\,b^2}{3\,n\,x^{6\,n}}-\frac{5\,a\,b^4}{4\,n\,x^{4\,n}}-\frac{5\,a^4\,b}{7\,n\,x^{7\,n}}","Not used",1,"- a^5/(8*n*x^(8*n)) - b^5/(3*n*x^(3*n)) - (2*a^2*b^3)/(n*x^(5*n)) - (5*a^3*b^2)/(3*n*x^(6*n)) - (5*a*b^4)/(4*n*x^(4*n)) - (5*a^4*b)/(7*n*x^(7*n))","B"
2564,1,99,97,1.341311,"\text{Not used}","int((a + b*x^n)^5/x^(9*n + 1),x)","-\frac{a^5}{9\,n\,x^{9\,n}}-\frac{b^5}{4\,n\,x^{4\,n}}-\frac{5\,a^2\,b^3}{3\,n\,x^{6\,n}}-\frac{10\,a^3\,b^2}{7\,n\,x^{7\,n}}-\frac{a\,b^4}{n\,x^{5\,n}}-\frac{5\,a^4\,b}{8\,n\,x^{8\,n}}","Not used",1,"- a^5/(9*n*x^(9*n)) - b^5/(4*n*x^(4*n)) - (5*a^2*b^3)/(3*n*x^(6*n)) - (10*a^3*b^2)/(7*n*x^(7*n)) - (a*b^4)/(n*x^(5*n)) - (5*a^4*b)/(8*n*x^(8*n))","B"
2565,1,99,99,1.337452,"\text{Not used}","int((a + b*x^n)^5/x^(10*n + 1),x)","-\frac{a^5}{10\,n\,x^{10\,n}}-\frac{b^5}{5\,n\,x^{5\,n}}-\frac{10\,a^2\,b^3}{7\,n\,x^{7\,n}}-\frac{5\,a^3\,b^2}{4\,n\,x^{8\,n}}-\frac{5\,a\,b^4}{6\,n\,x^{6\,n}}-\frac{5\,a^4\,b}{9\,n\,x^{9\,n}}","Not used",1,"- a^5/(10*n*x^(10*n)) - b^5/(5*n*x^(5*n)) - (10*a^2*b^3)/(7*n*x^(7*n)) - (5*a^3*b^2)/(4*n*x^(8*n)) - (5*a*b^4)/(6*n*x^(6*n)) - (5*a^4*b)/(9*n*x^(9*n))","B"
2566,1,135,151,1.500020,"\text{Not used}","int(x^(9*n - 1)*(a + b*x^n)^8,x)","\frac{a^8\,x^{9\,n}}{9\,n}+\frac{b^8\,x^{17\,n}}{17\,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{4\,a^7\,b\,x^{10\,n}}{5\,n}+\frac{a\,b^7\,x^{16\,n}}{2\,n}","Not used",1,"(a^8*x^(9*n))/(9*n) + (b^8*x^(17*n))/(17*n) + (28*a^6*b^2*x^(11*n))/(11*n) + (14*a^5*b^3*x^(12*n))/(3*n) + (70*a^4*b^4*x^(13*n))/(13*n) + (4*a^3*b^5*x^(14*n))/n + (28*a^2*b^6*x^(15*n))/(15*n) + (4*a^7*b*x^(10*n))/(5*n) + (a*b^7*x^(16*n))/(2*n)","B"
2567,1,135,151,1.486381,"\text{Not used}","int(x^(8*n - 1)*(a + b*x^n)^8,x)","\frac{a^8\,x^{8\,n}}{8\,n}+\frac{b^8\,x^{16\,n}}{16\,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^7\,b\,x^{9\,n}}{9\,n}+\frac{8\,a\,b^7\,x^{15\,n}}{15\,n}","Not used",1,"(a^8*x^(8*n))/(8*n) + (b^8*x^(16*n))/(16*n) + (14*a^6*b^2*x^(10*n))/(5*n) + (56*a^5*b^3*x^(11*n))/(11*n) + (35*a^4*b^4*x^(12*n))/(6*n) + (56*a^3*b^5*x^(13*n))/(13*n) + (2*a^2*b^6*x^(14*n))/n + (8*a^7*b*x^(9*n))/(9*n) + (8*a*b^7*x^(15*n))/(15*n)","B"
2568,1,134,150,1.471926,"\text{Not used}","int(x^(7*n - 1)*(a + b*x^n)^8,x)","\frac{a^8\,x^{7\,n}}{7\,n}+\frac{b^8\,x^{15\,n}}{15\,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{a^7\,b\,x^{8\,n}}{n}+\frac{4\,a\,b^7\,x^{14\,n}}{7\,n}","Not used",1,"(a^8*x^(7*n))/(7*n) + (b^8*x^(15*n))/(15*n) + (28*a^6*b^2*x^(9*n))/(9*n) + (28*a^5*b^3*x^(10*n))/(5*n) + (70*a^4*b^4*x^(11*n))/(11*n) + (14*a^3*b^5*x^(12*n))/(3*n) + (28*a^2*b^6*x^(13*n))/(13*n) + (a^7*b*x^(8*n))/n + (4*a*b^7*x^(14*n))/(7*n)","B"
2569,1,135,128,1.451040,"\text{Not used}","int(x^(6*n - 1)*(a + b*x^n)^8,x)","\frac{a^8\,x^{6\,n}}{6\,n}+\frac{b^8\,x^{14\,n}}{14\,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^7\,b\,x^{7\,n}}{7\,n}+\frac{8\,a\,b^7\,x^{13\,n}}{13\,n}","Not used",1,"(a^8*x^(6*n))/(6*n) + (b^8*x^(14*n))/(14*n) + (7*a^6*b^2*x^(8*n))/(2*n) + (56*a^5*b^3*x^(9*n))/(9*n) + (7*a^4*b^4*x^(10*n))/n + (56*a^3*b^5*x^(11*n))/(11*n) + (7*a^2*b^6*x^(12*n))/(3*n) + (8*a^7*b*x^(7*n))/(7*n) + (8*a*b^7*x^(13*n))/(13*n)","B"
2570,1,135,106,1.456268,"\text{Not used}","int(x^(5*n - 1)*(a + b*x^n)^8,x)","\frac{a^8\,x^{5\,n}}{5\,n}+\frac{b^8\,x^{13\,n}}{13\,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{4\,a^7\,b\,x^{6\,n}}{3\,n}+\frac{2\,a\,b^7\,x^{12\,n}}{3\,n}","Not used",1,"(a^8*x^(5*n))/(5*n) + (b^8*x^(13*n))/(13*n) + (4*a^6*b^2*x^(7*n))/n + (7*a^5*b^3*x^(8*n))/n + (70*a^4*b^4*x^(9*n))/(9*n) + (28*a^3*b^5*x^(10*n))/(5*n) + (28*a^2*b^6*x^(11*n))/(11*n) + (4*a^7*b*x^(6*n))/(3*n) + (2*a*b^7*x^(12*n))/(3*n)","B"
2571,1,135,84,1.457255,"\text{Not used}","int(x^(4*n - 1)*(a + b*x^n)^8,x)","\frac{a^8\,x^{4\,n}}{4\,n}+\frac{b^8\,x^{12\,n}}{12\,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^7\,b\,x^{5\,n}}{5\,n}+\frac{8\,a\,b^7\,x^{11\,n}}{11\,n}","Not used",1,"(a^8*x^(4*n))/(4*n) + (b^8*x^(12*n))/(12*n) + (14*a^6*b^2*x^(6*n))/(3*n) + (8*a^5*b^3*x^(7*n))/n + (35*a^4*b^4*x^(8*n))/(4*n) + (56*a^3*b^5*x^(9*n))/(9*n) + (14*a^2*b^6*x^(10*n))/(5*n) + (8*a^7*b*x^(5*n))/(5*n) + (8*a*b^7*x^(11*n))/(11*n)","B"
2572,1,135,62,1.449038,"\text{Not used}","int(x^(3*n - 1)*(a + b*x^n)^8,x)","\frac{a^8\,x^{3\,n}}{3\,n}+\frac{b^8\,x^{11\,n}}{11\,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{2\,a^7\,b\,x^{4\,n}}{n}+\frac{4\,a\,b^7\,x^{10\,n}}{5\,n}","Not used",1,"(a^8*x^(3*n))/(3*n) + (b^8*x^(11*n))/(11*n) + (28*a^6*b^2*x^(5*n))/(5*n) + (28*a^5*b^3*x^(6*n))/(3*n) + (10*a^4*b^4*x^(7*n))/n + (7*a^3*b^5*x^(8*n))/n + (28*a^2*b^6*x^(9*n))/(9*n) + (2*a^7*b*x^(4*n))/n + (4*a*b^7*x^(10*n))/(5*n)","B"
2573,1,135,40,1.445135,"\text{Not used}","int(x^(2*n - 1)*(a + b*x^n)^8,x)","\frac{a^8\,x^{2\,n}}{2\,n}+\frac{b^8\,x^{10\,n}}{10\,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^7\,b\,x^{3\,n}}{3\,n}+\frac{8\,a\,b^7\,x^{9\,n}}{9\,n}","Not used",1,"(a^8*x^(2*n))/(2*n) + (b^8*x^(10*n))/(10*n) + (7*a^6*b^2*x^(4*n))/n + (56*a^5*b^3*x^(5*n))/(5*n) + (35*a^4*b^4*x^(6*n))/(3*n) + (8*a^3*b^5*x^(7*n))/n + (7*a^2*b^6*x^(8*n))/(2*n) + (8*a^7*b*x^(3*n))/(3*n) + (8*a*b^7*x^(9*n))/(9*n)","B"
2574,1,131,19,1.460581,"\text{Not used}","int(x^(n - 1)*(a + b*x^n)^8,x)","\frac{a^8\,x^n}{n}+\frac{b^8\,x^{9\,n}}{9\,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{4\,a^7\,b\,x^{2\,n}}{n}+\frac{a\,b^7\,x^{8\,n}}{n}","Not used",1,"(a^8*x^n)/n + (b^8*x^(9*n))/(9*n) + (28*a^6*b^2*x^(3*n))/(3*n) + (14*a^5*b^3*x^(4*n))/n + (14*a^4*b^4*x^(5*n))/n + (28*a^3*b^5*x^(6*n))/(3*n) + (4*a^2*b^6*x^(7*n))/n + (4*a^7*b*x^(2*n))/n + (a*b^7*x^(8*n))/n","B"
2575,1,126,138,1.286598,"\text{Not used}","int((a + b*x^n)^8/x,x)","a^8\,\ln\left(x\right)+\frac{b^8\,x^{8\,n}}{8\,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^7\,b\,x^n}{n}+\frac{8\,a\,b^7\,x^{7\,n}}{7\,n}","Not used",1,"a^8*log(x) + (b^8*x^(8*n))/(8*n) + (14*a^6*b^2*x^(2*n))/n + (56*a^5*b^3*x^(3*n))/(3*n) + (35*a^4*b^4*x^(4*n))/(2*n) + (56*a^3*b^5*x^(5*n))/(5*n) + (14*a^2*b^6*x^(6*n))/(3*n) + (8*a^7*b*x^n)/n + (8*a*b^7*x^(7*n))/(7*n)","B"
2576,1,127,135,1.716697,"\text{Not used}","int((a + b*x^n)^8/x^(n + 1),x)","8\,a^7\,b\,\ln\left(x\right)-\frac{a^8}{n\,x^n}+\frac{b^8\,x^{7\,n}}{7\,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{28\,a^6\,b^2\,x^n}{n}","Not used",1,"8*a^7*b*log(x) - a^8/(n*x^n) + (b^8*x^(7*n))/(7*n) + (28*a^5*b^3*x^(2*n))/n + (70*a^4*b^4*x^(3*n))/(3*n) + (14*a^3*b^5*x^(4*n))/n + (28*a^2*b^6*x^(5*n))/(5*n) + (4*a*b^7*x^(6*n))/(3*n) + (28*a^6*b^2*x^n)/n","B"
2577,1,129,135,1.600328,"\text{Not used}","int((a + b*x^n)^8/x^(2*n + 1),x)","\frac{b^8\,x^{6\,n}}{6\,n}-\frac{a^8}{2\,n\,x^{2\,n}}+28\,a^6\,b^2\,\ln\left(x\right)+\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^7\,b}{n\,x^n}+\frac{8\,a\,b^7\,x^{5\,n}}{5\,n}+\frac{56\,a^5\,b^3\,x^n}{n}","Not used",1,"(b^8*x^(6*n))/(6*n) - a^8/(2*n*x^(2*n)) + 28*a^6*b^2*log(x) + (35*a^4*b^4*x^(2*n))/n + (56*a^3*b^5*x^(3*n))/(3*n) + (7*a^2*b^6*x^(4*n))/n - (8*a^7*b)/(n*x^n) + (8*a*b^7*x^(5*n))/(5*n) + (56*a^5*b^3*x^n)/n","B"
2578,1,131,133,1.599388,"\text{Not used}","int((a + b*x^n)^8/x^(3*n + 1),x)","\frac{b^8\,x^{5\,n}}{5\,n}-\frac{a^8}{3\,n\,x^{3\,n}}+56\,a^5\,b^3\,\ln\left(x\right)-\frac{28\,a^6\,b^2}{n\,x^n}+\frac{28\,a^3\,b^5\,x^{2\,n}}{n}+\frac{28\,a^2\,b^6\,x^{3\,n}}{3\,n}-\frac{4\,a^7\,b}{n\,x^{2\,n}}+\frac{2\,a\,b^7\,x^{4\,n}}{n}+\frac{70\,a^4\,b^4\,x^n}{n}","Not used",1,"(b^8*x^(5*n))/(5*n) - a^8/(3*n*x^(3*n)) + 56*a^5*b^3*log(x) - (28*a^6*b^2)/(n*x^n) + (28*a^3*b^5*x^(2*n))/n + (28*a^2*b^6*x^(3*n))/(3*n) - (4*a^7*b)/(n*x^(2*n)) + (2*a*b^7*x^(4*n))/n + (70*a^4*b^4*x^n)/n","B"
2579,1,133,135,1.541131,"\text{Not used}","int((a + b*x^n)^8/x^(4*n + 1),x)","\frac{b^8\,x^{4\,n}}{4\,n}-\frac{a^8}{4\,n\,x^{4\,n}}+70\,a^4\,b^4\,\ln\left(x\right)-\frac{56\,a^5\,b^3}{n\,x^n}+\frac{14\,a^2\,b^6\,x^{2\,n}}{n}-\frac{14\,a^6\,b^2}{n\,x^{2\,n}}+\frac{8\,a\,b^7\,x^{3\,n}}{3\,n}-\frac{8\,a^7\,b}{3\,n\,x^{3\,n}}+\frac{56\,a^3\,b^5\,x^n}{n}","Not used",1,"(b^8*x^(4*n))/(4*n) - a^8/(4*n*x^(4*n)) + 70*a^4*b^4*log(x) - (56*a^5*b^3)/(n*x^n) + (14*a^2*b^6*x^(2*n))/n - (14*a^6*b^2)/(n*x^(2*n)) + (8*a*b^7*x^(3*n))/(3*n) - (8*a^7*b)/(3*n*x^(3*n)) + (56*a^3*b^5*x^n)/n","B"
2580,1,135,133,1.550624,"\text{Not used}","int((a + b*x^n)^8/x^(5*n + 1),x)","\frac{b^8\,x^{3\,n}}{3\,n}-\frac{a^8}{5\,n\,x^{5\,n}}+56\,a^3\,b^5\,\ln\left(x\right)-\frac{70\,a^4\,b^4}{n\,x^n}-\frac{28\,a^5\,b^3}{n\,x^{2\,n}}-\frac{28\,a^6\,b^2}{3\,n\,x^{3\,n}}+\frac{4\,a\,b^7\,x^{2\,n}}{n}-\frac{2\,a^7\,b}{n\,x^{4\,n}}+\frac{28\,a^2\,b^6\,x^n}{n}","Not used",1,"(b^8*x^(3*n))/(3*n) - a^8/(5*n*x^(5*n)) + 56*a^3*b^5*log(x) - (70*a^4*b^4)/(n*x^n) - (28*a^5*b^3)/(n*x^(2*n)) - (28*a^6*b^2)/(3*n*x^(3*n)) + (4*a*b^7*x^(2*n))/n - (2*a^7*b)/(n*x^(4*n)) + (28*a^2*b^6*x^n)/n","B"
2581,1,137,135,1.503204,"\text{Not used}","int((a + b*x^n)^8/x^(6*n + 1),x)","\frac{b^8\,x^{2\,n}}{2\,n}-\frac{a^8}{6\,n\,x^{6\,n}}+28\,a^2\,b^6\,\ln\left(x\right)-\frac{56\,a^3\,b^5}{n\,x^n}-\frac{35\,a^4\,b^4}{n\,x^{2\,n}}-\frac{56\,a^5\,b^3}{3\,n\,x^{3\,n}}-\frac{7\,a^6\,b^2}{n\,x^{4\,n}}+\frac{8\,a\,b^7\,x^n}{n}-\frac{8\,a^7\,b}{5\,n\,x^{5\,n}}","Not used",1,"(b^8*x^(2*n))/(2*n) - a^8/(6*n*x^(6*n)) + 28*a^2*b^6*log(x) - (56*a^3*b^5)/(n*x^n) - (35*a^4*b^4)/(n*x^(2*n)) - (56*a^5*b^3)/(3*n*x^(3*n)) - (7*a^6*b^2)/(n*x^(4*n)) + (8*a*b^7*x^n)/n - (8*a^7*b)/(5*n*x^(5*n))","B"
2582,1,138,134,1.461701,"\text{Not used}","int((a + b*x^n)^8/x^(7*n + 1),x)","\frac{b^8\,x^n}{n}+8\,a\,b^7\,\ln\left(x\right)-\frac{a^8}{7\,n\,x^{7\,n}}-\frac{28\,a^2\,b^6}{n\,x^n}-\frac{28\,a^3\,b^5}{n\,x^{2\,n}}-\frac{70\,a^4\,b^4}{3\,n\,x^{3\,n}}-\frac{14\,a^5\,b^3}{n\,x^{4\,n}}-\frac{28\,a^6\,b^2}{5\,n\,x^{5\,n}}-\frac{4\,a^7\,b}{3\,n\,x^{6\,n}}","Not used",1,"(b^8*x^n)/n + 8*a*b^7*log(x) - a^8/(7*n*x^(7*n)) - (28*a^2*b^6)/(n*x^n) - (28*a^3*b^5)/(n*x^(2*n)) - (70*a^4*b^4)/(3*n*x^(3*n)) - (14*a^5*b^3)/(n*x^(4*n)) - (28*a^6*b^2)/(5*n*x^(5*n)) - (4*a^7*b)/(3*n*x^(6*n))","B"
2583,1,142,140,1.487315,"\text{Not used}","int((a + b*x^n)^8/x^(8*n + 1),x)","b^8\,\ln\left(x\right)-\frac{a^8}{8\,n\,x^{8\,n}}-\frac{14\,a^2\,b^6}{n\,x^{2\,n}}-\frac{56\,a^3\,b^5}{3\,n\,x^{3\,n}}-\frac{35\,a^4\,b^4}{2\,n\,x^{4\,n}}-\frac{56\,a^5\,b^3}{5\,n\,x^{5\,n}}-\frac{14\,a^6\,b^2}{3\,n\,x^{6\,n}}-\frac{8\,a\,b^7}{n\,x^n}-\frac{8\,a^7\,b}{7\,n\,x^{7\,n}}","Not used",1,"b^8*log(x) - a^8/(8*n*x^(8*n)) - (14*a^2*b^6)/(n*x^(2*n)) - (56*a^3*b^5)/(3*n*x^(3*n)) - (35*a^4*b^4)/(2*n*x^(4*n)) - (56*a^5*b^3)/(5*n*x^(5*n)) - (14*a^6*b^2)/(3*n*x^(6*n)) - (8*a*b^7)/(n*x^n) - (8*a^7*b)/(7*n*x^(7*n))","B"
2584,1,151,24,1.462235,"\text{Not used}","int((a + b*x^n)^8/x^(9*n + 1),x)","-\frac{a^8}{9\,n\,x^{9\,n}}-\frac{b^8}{n\,x^n}-\frac{28\,a^2\,b^6}{3\,n\,x^{3\,n}}-\frac{14\,a^3\,b^5}{n\,x^{4\,n}}-\frac{14\,a^4\,b^4}{n\,x^{5\,n}}-\frac{28\,a^5\,b^3}{3\,n\,x^{6\,n}}-\frac{4\,a^6\,b^2}{n\,x^{7\,n}}-\frac{4\,a\,b^7}{n\,x^{2\,n}}-\frac{a^7\,b}{n\,x^{8\,n}}","Not used",1,"- a^8/(9*n*x^(9*n)) - b^8/(n*x^n) - (28*a^2*b^6)/(3*n*x^(3*n)) - (14*a^3*b^5)/(n*x^(4*n)) - (14*a^4*b^4)/(n*x^(5*n)) - (28*a^5*b^3)/(3*n*x^(6*n)) - (4*a^6*b^2)/(n*x^(7*n)) - (4*a*b^7)/(n*x^(2*n)) - (a^7*b)/(n*x^(8*n))","B"
2585,1,153,50,1.456124,"\text{Not used}","int((a + b*x^n)^8/x^(10*n + 1),x)","-\frac{a^8}{10\,n\,x^{10\,n}}-\frac{b^8}{2\,n\,x^{2\,n}}-\frac{7\,a^2\,b^6}{n\,x^{4\,n}}-\frac{56\,a^3\,b^5}{5\,n\,x^{5\,n}}-\frac{35\,a^4\,b^4}{3\,n\,x^{6\,n}}-\frac{8\,a^5\,b^3}{n\,x^{7\,n}}-\frac{7\,a^6\,b^2}{2\,n\,x^{8\,n}}-\frac{8\,a\,b^7}{3\,n\,x^{3\,n}}-\frac{8\,a^7\,b}{9\,n\,x^{9\,n}}","Not used",1,"- a^8/(10*n*x^(10*n)) - b^8/(2*n*x^(2*n)) - (7*a^2*b^6)/(n*x^(4*n)) - (56*a^3*b^5)/(5*n*x^(5*n)) - (35*a^4*b^4)/(3*n*x^(6*n)) - (8*a^5*b^3)/(n*x^(7*n)) - (7*a^6*b^2)/(2*n*x^(8*n)) - (8*a*b^7)/(3*n*x^(3*n)) - (8*a^7*b)/(9*n*x^(9*n))","B"
2586,1,153,77,1.421695,"\text{Not used}","int((a + b*x^n)^8/x^(11*n + 1),x)","-\frac{a^8}{11\,n\,x^{11\,n}}-\frac{b^8}{3\,n\,x^{3\,n}}-\frac{28\,a^2\,b^6}{5\,n\,x^{5\,n}}-\frac{28\,a^3\,b^5}{3\,n\,x^{6\,n}}-\frac{10\,a^4\,b^4}{n\,x^{7\,n}}-\frac{7\,a^5\,b^3}{n\,x^{8\,n}}-\frac{28\,a^6\,b^2}{9\,n\,x^{9\,n}}-\frac{2\,a\,b^7}{n\,x^{4\,n}}-\frac{4\,a^7\,b}{5\,n\,x^{10\,n}}","Not used",1,"- a^8/(11*n*x^(11*n)) - b^8/(3*n*x^(3*n)) - (28*a^2*b^6)/(5*n*x^(5*n)) - (28*a^3*b^5)/(3*n*x^(6*n)) - (10*a^4*b^4)/(n*x^(7*n)) - (7*a^5*b^3)/(n*x^(8*n)) - (28*a^6*b^2)/(9*n*x^(9*n)) - (2*a*b^7)/(n*x^(4*n)) - (4*a^7*b)/(5*n*x^(10*n))","B"
2587,1,153,104,1.431930,"\text{Not used}","int((a + b*x^n)^8/x^(12*n + 1),x)","-\frac{a^8}{12\,n\,x^{12\,n}}-\frac{b^8}{4\,n\,x^{4\,n}}-\frac{14\,a^2\,b^6}{3\,n\,x^{6\,n}}-\frac{8\,a^3\,b^5}{n\,x^{7\,n}}-\frac{35\,a^4\,b^4}{4\,n\,x^{8\,n}}-\frac{56\,a^5\,b^3}{9\,n\,x^{9\,n}}-\frac{14\,a^6\,b^2}{5\,n\,x^{10\,n}}-\frac{8\,a\,b^7}{5\,n\,x^{5\,n}}-\frac{8\,a^7\,b}{11\,n\,x^{11\,n}}","Not used",1,"- a^8/(12*n*x^(12*n)) - b^8/(4*n*x^(4*n)) - (14*a^2*b^6)/(3*n*x^(6*n)) - (8*a^3*b^5)/(n*x^(7*n)) - (35*a^4*b^4)/(4*n*x^(8*n)) - (56*a^5*b^3)/(9*n*x^(9*n)) - (14*a^6*b^2)/(5*n*x^(10*n)) - (8*a*b^7)/(5*n*x^(5*n)) - (8*a^7*b)/(11*n*x^(11*n))","B"
2588,1,153,131,1.436927,"\text{Not used}","int((a + b*x^n)^8/x^(13*n + 1),x)","-\frac{a^8}{13\,n\,x^{13\,n}}-\frac{b^8}{5\,n\,x^{5\,n}}-\frac{4\,a^2\,b^6}{n\,x^{7\,n}}-\frac{7\,a^3\,b^5}{n\,x^{8\,n}}-\frac{70\,a^4\,b^4}{9\,n\,x^{9\,n}}-\frac{28\,a^5\,b^3}{5\,n\,x^{10\,n}}-\frac{28\,a^6\,b^2}{11\,n\,x^{11\,n}}-\frac{4\,a\,b^7}{3\,n\,x^{6\,n}}-\frac{2\,a^7\,b}{3\,n\,x^{12\,n}}","Not used",1,"- a^8/(13*n*x^(13*n)) - b^8/(5*n*x^(5*n)) - (4*a^2*b^6)/(n*x^(7*n)) - (7*a^3*b^5)/(n*x^(8*n)) - (70*a^4*b^4)/(9*n*x^(9*n)) - (28*a^5*b^3)/(5*n*x^(10*n)) - (28*a^6*b^2)/(11*n*x^(11*n)) - (4*a*b^7)/(3*n*x^(6*n)) - (2*a^7*b)/(3*n*x^(12*n))","B"
2589,1,153,151,1.513953,"\text{Not used}","int((a + b*x^n)^8/x^(14*n + 1),x)","-\frac{a^8}{14\,n\,x^{14\,n}}-\frac{b^8}{6\,n\,x^{6\,n}}-\frac{7\,a^2\,b^6}{2\,n\,x^{8\,n}}-\frac{56\,a^3\,b^5}{9\,n\,x^{9\,n}}-\frac{7\,a^4\,b^4}{n\,x^{10\,n}}-\frac{56\,a^5\,b^3}{11\,n\,x^{11\,n}}-\frac{7\,a^6\,b^2}{3\,n\,x^{12\,n}}-\frac{8\,a\,b^7}{7\,n\,x^{7\,n}}-\frac{8\,a^7\,b}{13\,n\,x^{13\,n}}","Not used",1,"- a^8/(14*n*x^(14*n)) - b^8/(6*n*x^(6*n)) - (7*a^2*b^6)/(2*n*x^(8*n)) - (56*a^3*b^5)/(9*n*x^(9*n)) - (7*a^4*b^4)/(n*x^(10*n)) - (56*a^5*b^3)/(11*n*x^(11*n)) - (7*a^6*b^2)/(3*n*x^(12*n)) - (8*a*b^7)/(7*n*x^(7*n)) - (8*a^7*b)/(13*n*x^(13*n))","B"
2590,1,153,151,1.430181,"\text{Not used}","int((a + b*x^n)^8/x^(15*n + 1),x)","-\frac{a^8}{15\,n\,x^{15\,n}}-\frac{b^8}{7\,n\,x^{7\,n}}-\frac{28\,a^2\,b^6}{9\,n\,x^{9\,n}}-\frac{28\,a^3\,b^5}{5\,n\,x^{10\,n}}-\frac{70\,a^4\,b^4}{11\,n\,x^{11\,n}}-\frac{14\,a^5\,b^3}{3\,n\,x^{12\,n}}-\frac{28\,a^6\,b^2}{13\,n\,x^{13\,n}}-\frac{a\,b^7}{n\,x^{8\,n}}-\frac{4\,a^7\,b}{7\,n\,x^{14\,n}}","Not used",1,"- a^8/(15*n*x^(15*n)) - b^8/(7*n*x^(7*n)) - (28*a^2*b^6)/(9*n*x^(9*n)) - (28*a^3*b^5)/(5*n*x^(10*n)) - (70*a^4*b^4)/(11*n*x^(11*n)) - (14*a^5*b^3)/(3*n*x^(12*n)) - (28*a^6*b^2)/(13*n*x^(13*n)) - (a*b^7)/(n*x^(8*n)) - (4*a^7*b)/(7*n*x^(14*n))","B"
2591,1,259,19,1.867425,"\text{Not used}","int(x^(n - 1)*(a + b*x^n)^16,x)","\frac{a^{16}\,x^n}{n}+\frac{b^{16}\,x^{17\,n}}{17\,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{8\,a^{15}\,b\,x^{2\,n}}{n}+\frac{a\,b^{15}\,x^{16\,n}}{n}","Not used",1,"(a^16*x^n)/n + (b^16*x^(17*n))/(17*n) + (40*a^14*b^2*x^(3*n))/n + (140*a^13*b^3*x^(4*n))/n + (364*a^12*b^4*x^(5*n))/n + (728*a^11*b^5*x^(6*n))/n + (1144*a^10*b^6*x^(7*n))/n + (1430*a^9*b^7*x^(8*n))/n + (1430*a^8*b^8*x^(9*n))/n + (1144*a^7*b^9*x^(10*n))/n + (728*a^6*b^10*x^(11*n))/n + (364*a^5*b^11*x^(12*n))/n + (140*a^4*b^12*x^(13*n))/n + (40*a^3*b^13*x^(14*n))/n + (8*a^2*b^14*x^(15*n))/n + (8*a^15*b*x^(2*n))/n + (a*b^15*x^(16*n))/n","B"
2592,1,14,16,0.121575,"\text{Not used}","int(x^12*(a + b*x^13)^12,x)","\frac{{\left(b\,x^{13}+a\right)}^{13}}{169\,b}","Not used",1,"(a + b*x^13)^13/(169*b)","B"
2593,1,14,16,0.106957,"\text{Not used}","int(x^24*(a + b*x^25)^12,x)","\frac{{\left(b\,x^{25}+a\right)}^{13}}{325\,b}","Not used",1,"(a + b*x^25)^13/(325*b)","B"
2594,1,14,16,1.183978,"\text{Not used}","int(x^36*(a + b*x^37)^12,x)","\frac{{\left(b\,x^{37}+a\right)}^{13}}{481\,b}","Not used",1,"(a + b*x^37)^13/(481*b)","B"
2595,1,285,27,2.095248,"\text{Not used}","int(x^(12*m)*(a + b*x^(12*m + 1))^12,x)","\frac{b^{12}\,x^{156\,m}\,x^{13}}{156\,m+13}+\frac{a^{12}\,x\,x^{12\,m}}{12\,m+1}+\frac{6\,a^{11}\,b\,x^{24\,m}\,x^2}{12\,m+1}+\frac{a\,b^{11}\,x^{144\,m}\,x^{12}}{12\,m+1}+\frac{22\,a^{10}\,b^2\,x^{36\,m}\,x^3}{12\,m+1}+\frac{55\,a^9\,b^3\,x^{48\,m}\,x^4}{12\,m+1}+\frac{99\,a^8\,b^4\,x^{60\,m}\,x^5}{12\,m+1}+\frac{132\,a^7\,b^5\,x^{72\,m}\,x^6}{12\,m+1}+\frac{132\,a^6\,b^6\,x^{84\,m}\,x^7}{12\,m+1}+\frac{99\,a^5\,b^7\,x^{96\,m}\,x^8}{12\,m+1}+\frac{55\,a^4\,b^8\,x^{108\,m}\,x^9}{12\,m+1}+\frac{22\,a^3\,b^9\,x^{120\,m}\,x^{10}}{12\,m+1}+\frac{6\,a^2\,b^{10}\,x^{132\,m}\,x^{11}}{12\,m+1}","Not used",1,"(b^12*x^(156*m)*x^13)/(156*m + 13) + (a^12*x*x^(12*m))/(12*m + 1) + (6*a^11*b*x^(24*m)*x^2)/(12*m + 1) + (a*b^11*x^(144*m)*x^12)/(12*m + 1) + (22*a^10*b^2*x^(36*m)*x^3)/(12*m + 1) + (55*a^9*b^3*x^(48*m)*x^4)/(12*m + 1) + (99*a^8*b^4*x^(60*m)*x^5)/(12*m + 1) + (132*a^7*b^5*x^(72*m)*x^6)/(12*m + 1) + (132*a^6*b^6*x^(84*m)*x^7)/(12*m + 1) + (99*a^5*b^7*x^(96*m)*x^8)/(12*m + 1) + (55*a^4*b^8*x^(108*m)*x^9)/(12*m + 1) + (22*a^3*b^9*x^(120*m)*x^10)/(12*m + 1) + (6*a^2*b^10*x^(132*m)*x^11)/(12*m + 1)","B"
2596,1,285,27,0.002125,"\text{Not used}","int(x^(12*m)*(a + b*x^(12*m + 1))^12,x)","\frac{b^{12}\,x^{156\,m}\,x^{13}}{156\,m+13}+\frac{a^{12}\,x\,x^{12\,m}}{12\,m+1}+\frac{6\,a^{11}\,b\,x^{24\,m}\,x^2}{12\,m+1}+\frac{a\,b^{11}\,x^{144\,m}\,x^{12}}{12\,m+1}+\frac{22\,a^{10}\,b^2\,x^{36\,m}\,x^3}{12\,m+1}+\frac{55\,a^9\,b^3\,x^{48\,m}\,x^4}{12\,m+1}+\frac{99\,a^8\,b^4\,x^{60\,m}\,x^5}{12\,m+1}+\frac{132\,a^7\,b^5\,x^{72\,m}\,x^6}{12\,m+1}+\frac{132\,a^6\,b^6\,x^{84\,m}\,x^7}{12\,m+1}+\frac{99\,a^5\,b^7\,x^{96\,m}\,x^8}{12\,m+1}+\frac{55\,a^4\,b^8\,x^{108\,m}\,x^9}{12\,m+1}+\frac{22\,a^3\,b^9\,x^{120\,m}\,x^{10}}{12\,m+1}+\frac{6\,a^2\,b^{10}\,x^{132\,m}\,x^{11}}{12\,m+1}","Not used",1,"(b^12*x^(156*m)*x^13)/(156*m + 13) + (a^12*x*x^(12*m))/(12*m + 1) + (6*a^11*b*x^(24*m)*x^2)/(12*m + 1) + (a*b^11*x^(144*m)*x^12)/(12*m + 1) + (22*a^10*b^2*x^(36*m)*x^3)/(12*m + 1) + (55*a^9*b^3*x^(48*m)*x^4)/(12*m + 1) + (99*a^8*b^4*x^(60*m)*x^5)/(12*m + 1) + (132*a^7*b^5*x^(72*m)*x^6)/(12*m + 1) + (132*a^6*b^6*x^(84*m)*x^7)/(12*m + 1) + (99*a^5*b^7*x^(96*m)*x^8)/(12*m + 1) + (55*a^4*b^8*x^(108*m)*x^9)/(12*m + 1) + (22*a^3*b^9*x^(120*m)*x^10)/(12*m + 1) + (6*a^2*b^10*x^(132*m)*x^11)/(12*m + 1)","B"
2597,0,-1,82,0.000000,"\text{Not used}","int(x^(5*n - 1)/(a + b*x^n),x)","\int \frac{x^{5\,n-1}}{a+b\,x^n} \,d x","Not used",1,"int(x^(5*n - 1)/(a + b*x^n), x)","F"
2598,0,-1,64,0.000000,"\text{Not used}","int(x^(4*n - 1)/(a + b*x^n),x)","\int \frac{x^{4\,n-1}}{a+b\,x^n} \,d x","Not used",1,"int(x^(4*n - 1)/(a + b*x^n), x)","F"
2599,0,-1,46,0.000000,"\text{Not used}","int(x^(3*n - 1)/(a + b*x^n),x)","\int \frac{x^{3\,n-1}}{a+b\,x^n} \,d x","Not used",1,"int(x^(3*n - 1)/(a + b*x^n), x)","F"
2600,0,-1,28,0.000000,"\text{Not used}","int(x^(2*n - 1)/(a + b*x^n),x)","\int \frac{x^{2\,n-1}}{a+b\,x^n} \,d x","Not used",1,"int(x^(2*n - 1)/(a + b*x^n), x)","F"
2601,1,15,15,1.218225,"\text{Not used}","int(x^(n - 1)/(a + b*x^n),x)","\frac{\ln\left(a+b\,x^n\right)}{b\,n}","Not used",1,"log(a + b*x^n)/(b*n)","B"
2602,1,22,23,1.178034,"\text{Not used}","int(1/(x*(a + b*x^n)),x)","-\frac{\ln\left(a+b\,x^n\right)-n\,\ln\left(x\right)}{a\,n}","Not used",1,"-(log(a + b*x^n) - n*log(x))/(a*n)","B"
2603,0,-1,38,0.000000,"\text{Not used}","int(1/(x^(n + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{n+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^(n + 1)*(a + b*x^n)), x)","F"
2604,0,-1,57,0.000000,"\text{Not used}","int(1/(x^(2*n + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{2\,n+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^(2*n + 1)*(a + b*x^n)), x)","F"
2605,0,-1,76,0.000000,"\text{Not used}","int(1/(x^(3*n + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{3\,n+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^(3*n + 1)*(a + b*x^n)), x)","F"
2606,0,-1,82,0.000000,"\text{Not used}","int(x^(5*n - 1)/(a + b*x^n),x)","\int \frac{x^{5\,n-1}}{a+b\,x^n} \,d x","Not used",1,"int(x^(5*n - 1)/(a + b*x^n), x)","F"
2607,0,-1,64,0.000000,"\text{Not used}","int(x^(4*n - 1)/(a + b*x^n),x)","\int \frac{x^{4\,n-1}}{a+b\,x^n} \,d x","Not used",1,"int(x^(4*n - 1)/(a + b*x^n), x)","F"
2608,0,-1,46,0.000000,"\text{Not used}","int(x^(3*n - 1)/(a + b*x^n),x)","\int \frac{x^{3\,n-1}}{a+b\,x^n} \,d x","Not used",1,"int(x^(3*n - 1)/(a + b*x^n), x)","F"
2609,0,-1,28,0.000000,"\text{Not used}","int(x^(2*n - 1)/(a + b*x^n),x)","\int \frac{x^{2\,n-1}}{a+b\,x^n} \,d x","Not used",1,"int(x^(2*n - 1)/(a + b*x^n), x)","F"
2610,1,15,15,0.001973,"\text{Not used}","int(x^(n - 1)/(a + b*x^n),x)","\frac{\ln\left(a+b\,x^n\right)}{b\,n}","Not used",1,"log(a + b*x^n)/(b*n)","B"
2611,1,22,23,0.002115,"\text{Not used}","int(1/(x*(a + b*x^n)),x)","-\frac{\ln\left(a+b\,x^n\right)-n\,\ln\left(x\right)}{a\,n}","Not used",1,"-(log(a + b*x^n) - n*log(x))/(a*n)","B"
2612,0,-1,38,0.000000,"\text{Not used}","int(1/(x^(n + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{n+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^(n + 1)*(a + b*x^n)), x)","F"
2613,0,-1,57,0.000000,"\text{Not used}","int(1/(x^(2*n + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{2\,n+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^(2*n + 1)*(a + b*x^n)), x)","F"
2614,0,-1,76,0.000000,"\text{Not used}","int(1/(x^(3*n + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{3\,n+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^(3*n + 1)*(a + b*x^n)), x)","F"
2615,0,-1,71,0.000000,"\text{Not used}","int(x^(5*n - 1)/(b*x^n + 2),x)","\int \frac{x^{5\,n-1}}{b\,x^n+2} \,d x","Not used",1,"int(x^(5*n - 1)/(b*x^n + 2), x)","F"
2616,0,-1,56,0.000000,"\text{Not used}","int(x^(4*n - 1)/(b*x^n + 2),x)","\int \frac{x^{4\,n-1}}{b\,x^n+2} \,d x","Not used",1,"int(x^(4*n - 1)/(b*x^n + 2), x)","F"
2617,0,-1,43,0.000000,"\text{Not used}","int(x^(3*n - 1)/(b*x^n + 2),x)","\int \frac{x^{3\,n-1}}{b\,x^n+2} \,d x","Not used",1,"int(x^(3*n - 1)/(b*x^n + 2), x)","F"
2618,0,-1,27,0.000000,"\text{Not used}","int(x^(2*n - 1)/(b*x^n + 2),x)","\int \frac{x^{2\,n-1}}{b\,x^n+2} \,d x","Not used",1,"int(x^(2*n - 1)/(b*x^n + 2), x)","F"
2619,1,15,15,1.208805,"\text{Not used}","int(x^(n - 1)/(b*x^n + 2),x)","\frac{\ln\left(b\,x^n+2\right)}{b\,n}","Not used",1,"log(b*x^n + 2)/(b*n)","B"
2620,1,18,22,1.169852,"\text{Not used}","int(1/(x*(b*x^n + 2)),x)","\frac{\ln\left(x\right)}{2}-\frac{\ln\left(b\,x^n+2\right)}{2\,n}","Not used",1,"log(x)/2 - log(b*x^n + 2)/(2*n)","B"
2621,0,-1,36,0.000000,"\text{Not used}","int(1/(x^(n + 1)*(b*x^n + 2)),x)","\int \frac{1}{x^{n+1}\,\left(b\,x^n+2\right)} \,d x","Not used",1,"int(1/(x^(n + 1)*(b*x^n + 2)), x)","F"
2622,0,-1,53,0.000000,"\text{Not used}","int(1/(x^(2*n + 1)*(b*x^n + 2)),x)","\int \frac{1}{x^{2\,n+1}\,\left(b\,x^n+2\right)} \,d x","Not used",1,"int(1/(x^(2*n + 1)*(b*x^n + 2)), x)","F"
2623,0,-1,68,0.000000,"\text{Not used}","int(1/(x^(3*n + 1)*(b*x^n + 2)),x)","\int \frac{1}{x^{3\,n+1}\,\left(b\,x^n+2\right)} \,d x","Not used",1,"int(1/(x^(3*n + 1)*(b*x^n + 2)), x)","F"
2624,0,-1,66,0.000000,"\text{Not used}","int(x^(4*n - 1)/(a + b*x^n)^2,x)","\int \frac{x^{4\,n-1}}{{\left(a+b\,x^n\right)}^2} \,d x","Not used",1,"int(x^(4*n - 1)/(a + b*x^n)^2, x)","F"
2625,0,-1,48,0.000000,"\text{Not used}","int(x^(3*n - 1)/(a + b*x^n)^2,x)","\int \frac{x^{3\,n-1}}{{\left(a+b\,x^n\right)}^2} \,d x","Not used",1,"int(x^(3*n - 1)/(a + b*x^n)^2, x)","F"
2626,0,-1,33,0.000000,"\text{Not used}","int(x^(2*n - 1)/(a + b*x^n)^2,x)","\int \frac{x^{2\,n-1}}{{\left(a+b\,x^n\right)}^2} \,d x","Not used",1,"int(x^(2*n - 1)/(a + b*x^n)^2, x)","F"
2627,1,21,17,1.301578,"\text{Not used}","int(x^(n - 1)/(a + b*x^n)^2,x)","-\frac{a}{b\,\left(a^2\,n+a\,b\,n\,x^n\right)}","Not used",1,"-a/(b*(a^2*n + a*b*n*x^n))","B"
2628,1,39,39,1.189458,"\text{Not used}","int(1/(x*(a + b*x^n)^2),x)","\frac{\ln\left(x\right)}{a^2}+\frac{1}{a\,n\,\left(a+b\,x^n\right)}-\frac{\ln\left(a+b\,x^n\right)}{a^2\,n}","Not used",1,"log(x)/a^2 + 1/(a*n*(a + b*x^n)) - log(a + b*x^n)/(a^2*n)","B"
2629,0,-1,57,0.000000,"\text{Not used}","int(1/(x^(n + 1)*(a + b*x^n)^2),x)","\int \frac{1}{x^{n+1}\,{\left(a+b\,x^n\right)}^2} \,d x","Not used",1,"int(1/(x^(n + 1)*(a + b*x^n)^2), x)","F"
2630,0,-1,78,0.000000,"\text{Not used}","int(1/(x^(2*n + 1)*(a + b*x^n)^2),x)","\int \frac{1}{x^{2\,n+1}\,{\left(a+b\,x^n\right)}^2} \,d x","Not used",1,"int(1/(x^(2*n + 1)*(a + b*x^n)^2), x)","F"
2631,0,-1,94,0.000000,"\text{Not used}","int(1/(x^(3*n + 1)*(a + b*x^n)^2),x)","\int \frac{1}{x^{3\,n+1}\,{\left(a+b\,x^n\right)}^2} \,d x","Not used",1,"int(1/(x^(3*n + 1)*(a + b*x^n)^2), x)","F"
2632,0,-1,70,0.000000,"\text{Not used}","int(x^(4*n - 1)/(a + b*x^n)^3,x)","\int \frac{x^{4\,n-1}}{{\left(a+b\,x^n\right)}^3} \,d x","Not used",1,"int(x^(4*n - 1)/(a + b*x^n)^3, x)","F"
2633,0,-1,56,0.000000,"\text{Not used}","int(x^(3*n - 1)/(a + b*x^n)^3,x)","\int \frac{x^{3\,n-1}}{{\left(a+b\,x^n\right)}^3} \,d x","Not used",1,"int(x^(3*n - 1)/(a + b*x^n)^3, x)","F"
2634,1,37,24,1.383866,"\text{Not used}","int(x^(2*n - 1)/(a + b*x^n)^3,x)","\frac{x^{2\,n}}{2\,\left(a^3\,n+2\,a^2\,b\,n\,x^n+a\,b^2\,n\,x^{2\,n}\right)}","Not used",1,"x^(2*n)/(2*(a^3*n + 2*a^2*b*n*x^n + a*b^2*n*x^(2*n)))","B"
2635,1,33,19,1.383145,"\text{Not used}","int(x^(n - 1)/(a + b*x^n)^3,x)","-\frac{1}{2\,b^3\,n\,x^{2\,n}+2\,a^2\,b\,n+4\,a\,b^2\,n\,x^n}","Not used",1,"-1/(2*b^3*n*x^(2*n) + 2*a^2*b*n + 4*a*b^2*n*x^n)","B"
2636,1,69,58,1.212648,"\text{Not used}","int(1/(x*(a + b*x^n)^3),x)","\frac{\ln\left(x\right)}{a^3}+\frac{1}{a^2\,n\,\left(a+b\,x^n\right)}-\frac{\ln\left(a+b\,x^n\right)}{a^3\,n}+\frac{1}{2\,a\,n\,\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n\right)}","Not used",1,"log(x)/a^3 + 1/(a^2*n*(a + b*x^n)) - log(a + b*x^n)/(a^3*n) + 1/(2*a*n*(a^2 + b^2*x^(2*n) + 2*a*b*x^n))","B"
2637,0,-1,77,0.000000,"\text{Not used}","int(1/(x^(n + 1)*(a + b*x^n)^3),x)","\int \frac{1}{x^{n+1}\,{\left(a+b\,x^n\right)}^3} \,d x","Not used",1,"int(1/(x^(n + 1)*(a + b*x^n)^3), x)","F"
2638,0,-1,101,0.000000,"\text{Not used}","int(1/(x^(2*n + 1)*(a + b*x^n)^3),x)","\int \frac{1}{x^{2\,n+1}\,{\left(a+b\,x^n\right)}^3} \,d x","Not used",1,"int(1/(x^(2*n + 1)*(a + b*x^n)^3), x)","F"
2639,0,-1,50,0.000000,"\text{Not used}","int(1/(x^(n/2 + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{\frac{n}{2}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^(n/2 + 1)*(a + b*x^n)), x)","F"
2640,0,-1,160,0.000000,"\text{Not used}","int(1/(x^((2*n)/3 + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{\frac{2\,n}{3}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^((2*n)/3 + 1)*(a + b*x^n)), x)","F"
2641,0,-1,236,0.000000,"\text{Not used}","int(1/(x^((3*n)/4 + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{\frac{3\,n}{4}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^((3*n)/4 + 1)*(a + b*x^n)), x)","F"
2642,0,-1,38,0.000000,"\text{Not used}","int(1/(x^(n + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{n+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^(n + 1)*(a + b*x^n)), x)","F"
2643,0,-1,50,0.000000,"\text{Not used}","int(1/(x^(n/2 + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{\frac{n}{2}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^(n/2 + 1)*(a + b*x^n)), x)","F"
2644,0,-1,158,0.000000,"\text{Not used}","int(1/(x^(n/3 + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{\frac{n}{3}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^(n/3 + 1)*(a + b*x^n)), x)","F"
2645,0,-1,234,0.000000,"\text{Not used}","int(1/(x^(n/4 + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{\frac{n}{4}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^(n/4 + 1)*(a + b*x^n)), x)","F"
2646,0,-1,68,0.000000,"\text{Not used}","int(1/(x^((3*n)/2 + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{\frac{3\,n}{2}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^((3*n)/2 + 1)*(a + b*x^n)), x)","F"
2647,0,-1,176,0.000000,"\text{Not used}","int(1/(x^((4*n)/3 + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{\frac{4\,n}{3}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^((4*n)/3 + 1)*(a + b*x^n)), x)","F"
2648,0,-1,252,0.000000,"\text{Not used}","int(1/(x^((5*n)/4 + 1)*(a + b*x^n)),x)","\int \frac{1}{x^{\frac{5\,n}{4}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/(x^((5*n)/4 + 1)*(a + b*x^n)), x)","F"
2649,0,-1,92,0.000000,"\text{Not used}","int(x^(4*n - 1)*(a + b*x^n)^(1/2),x)","\int x^{4\,n-1}\,\sqrt{a+b\,x^n} \,d x","Not used",1,"int(x^(4*n - 1)*(a + b*x^n)^(1/2), x)","F"
2650,0,-1,68,0.000000,"\text{Not used}","int(x^(3*n - 1)*(a + b*x^n)^(1/2),x)","\int x^{3\,n-1}\,\sqrt{a+b\,x^n} \,d x","Not used",1,"int(x^(3*n - 1)*(a + b*x^n)^(1/2), x)","F"
2651,0,-1,44,0.000000,"\text{Not used}","int(x^(2*n - 1)*(a + b*x^n)^(1/2),x)","\int x^{2\,n-1}\,\sqrt{a+b\,x^n} \,d x","Not used",1,"int(x^(2*n - 1)*(a + b*x^n)^(1/2), x)","F"
2652,1,17,21,1.310655,"\text{Not used}","int(x^(n - 1)*(a + b*x^n)^(1/2),x)","\frac{2\,{\left(a+b\,x^n\right)}^{3/2}}{3\,b\,n}","Not used",1,"(2*(a + b*x^n)^(3/2))/(3*b*n)","B"
2653,0,-1,45,0.000000,"\text{Not used}","int((a + b*x^n)^(1/2)/x,x)","\int \frac{\sqrt{a+b\,x^n}}{x} \,d x","Not used",1,"int((a + b*x^n)^(1/2)/x, x)","F"
2654,0,-1,51,0.000000,"\text{Not used}","int((a + b*x^n)^(1/2)/x^(n + 1),x)","\int \frac{\sqrt{a+b\,x^n}}{x^{n+1}} \,d x","Not used",1,"int((a + b*x^n)^(1/2)/x^(n + 1), x)","F"
2655,0,-1,84,0.000000,"\text{Not used}","int((a + b*x^n)^(1/2)/x^(2*n + 1),x)","\int \frac{\sqrt{a+b\,x^n}}{x^{2\,n+1}} \,d x","Not used",1,"int((a + b*x^n)^(1/2)/x^(2*n + 1), x)","F"
2656,0,-1,113,0.000000,"\text{Not used}","int((a + b*x^n)^(1/2)/x^(3*n + 1),x)","\int \frac{\sqrt{a+b\,x^n}}{x^{3\,n+1}} \,d x","Not used",1,"int((a + b*x^n)^(1/2)/x^(3*n + 1), x)","F"
2657,0,-1,142,0.000000,"\text{Not used}","int((a + b*x^n)^(1/2)/x^(4*n + 1),x)","\int \frac{\sqrt{a+b\,x^n}}{x^{4\,n+1}} \,d x","Not used",1,"int((a + b*x^n)^(1/2)/x^(4*n + 1), x)","F"
2658,0,-1,88,0.000000,"\text{Not used}","int(x^(4*n - 1)/(a + b*x^n)^(1/2),x)","\int \frac{x^{4\,n-1}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^(4*n - 1)/(a + b*x^n)^(1/2), x)","F"
2659,0,-1,66,0.000000,"\text{Not used}","int(x^(3*n - 1)/(a + b*x^n)^(1/2),x)","\int \frac{x^{3\,n-1}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^(3*n - 1)/(a + b*x^n)^(1/2), x)","F"
2660,0,-1,42,0.000000,"\text{Not used}","int(x^(2*n - 1)/(a + b*x^n)^(1/2),x)","\int \frac{x^{2\,n-1}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^(2*n - 1)/(a + b*x^n)^(1/2), x)","F"
2661,1,17,19,1.273624,"\text{Not used}","int(x^(n - 1)/(a + b*x^n)^(1/2),x)","\frac{2\,\sqrt{a+b\,x^n}}{b\,n}","Not used",1,"(2*(a + b*x^n)^(1/2))/(b*n)","B"
2662,0,-1,28,0.000000,"\text{Not used}","int(1/(x*(a + b*x^n)^(1/2)),x)","\int \frac{1}{x\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/(x*(a + b*x^n)^(1/2)), x)","F"
2663,0,-1,53,0.000000,"\text{Not used}","int(1/(x^(n + 1)*(a + b*x^n)^(1/2)),x)","\int \frac{1}{x^{n+1}\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/(x^(n + 1)*(a + b*x^n)^(1/2)), x)","F"
2664,0,-1,87,0.000000,"\text{Not used}","int(1/(x^(2*n + 1)*(a + b*x^n)^(1/2)),x)","\int \frac{1}{x^{2\,n+1}\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/(x^(2*n + 1)*(a + b*x^n)^(1/2)), x)","F"
2665,0,-1,116,0.000000,"\text{Not used}","int(1/(x^(3*n + 1)*(a + b*x^n)^(1/2)),x)","\int \frac{1}{x^{3\,n+1}\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/(x^(3*n + 1)*(a + b*x^n)^(1/2)), x)","F"
2666,0,-1,145,0.000000,"\text{Not used}","int(1/(x^(4*n + 1)*(a + b*x^n)^(1/2)),x)","\int \frac{1}{x^{4\,n+1}\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/(x^(4*n + 1)*(a + b*x^n)^(1/2)), x)","F"
2667,1,77,75,1.529764,"\text{Not used}","int(x^m*(a + b*x^n)^3,x)","\frac{a^3\,x\,x^m}{m+1}+\frac{b^3\,x\,x^m\,x^{3\,n}}{m+3\,n+1}+\frac{3\,a^2\,b\,x\,x^m\,x^n}{m+n+1}+\frac{3\,a\,b^2\,x\,x^m\,x^{2\,n}}{m+2\,n+1}","Not used",1,"(a^3*x*x^m)/(m + 1) + (b^3*x*x^m*x^(3*n))/(m + 3*n + 1) + (3*a^2*b*x*x^m*x^n)/(m + n + 1) + (3*a*b^2*x*x^m*x^(2*n))/(m + 2*n + 1)","B"
2668,1,52,51,1.464946,"\text{Not used}","int(x^m*(a + b*x^n)^2,x)","\frac{a^2\,x\,x^m}{m+1}+\frac{b^2\,x\,x^m\,x^{2\,n}}{m+2\,n+1}+\frac{2\,a\,b\,x\,x^m\,x^n}{m+n+1}","Not used",1,"(a^2*x*x^m)/(m + 1) + (b^2*x*x^m*x^(2*n))/(m + 2*n + 1) + (2*a*b*x*x^m*x^n)/(m + n + 1)","B"
2669,1,27,27,1.403178,"\text{Not used}","int(x^m*(a + b*x^n),x)","\frac{a\,x\,x^m}{m+1}+\frac{b\,x\,x^m\,x^n}{m+n+1}","Not used",1,"(a*x*x^m)/(m + 1) + (b*x*x^m*x^n)/(m + n + 1)","B"
2670,0,-1,40,0.000000,"\text{Not used}","int(x^m/(a + b*x^n),x)","\int \frac{x^m}{a+b\,x^n} \,d x","Not used",1,"int(x^m/(a + b*x^n), x)","F"
2671,0,-1,40,0.000000,"\text{Not used}","int(x^m/(a + b*x^n)^2,x)","\int \frac{x^m}{{\left(a+b\,x^n\right)}^2} \,d x","Not used",1,"int(x^m/(a + b*x^n)^2, x)","F"
2672,0,-1,40,0.000000,"\text{Not used}","int(x^m/(a + b*x^n)^3,x)","\int \frac{x^m}{{\left(a+b\,x^n\right)}^3} \,d x","Not used",1,"int(x^m/(a + b*x^n)^3, x)","F"
2673,0,-1,55,0.000000,"\text{Not used}","int(x^m*(a + b*x^n)^(3/2),x)","\int x^m\,{\left(a+b\,x^n\right)}^{3/2} \,d x","Not used",1,"int(x^m*(a + b*x^n)^(3/2), x)","F"
2674,0,-1,55,0.000000,"\text{Not used}","int(x^m*(a + b*x^n)^(1/2),x)","\int x^m\,\sqrt{a+b\,x^n} \,d x","Not used",1,"int(x^m*(a + b*x^n)^(1/2), x)","F"
2675,0,-1,55,0.000000,"\text{Not used}","int(x^m/(a + b*x^n)^(1/2),x)","\int \frac{x^m}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^m/(a + b*x^n)^(1/2), x)","F"
2676,0,-1,55,0.000000,"\text{Not used}","int(x^m/(a + b*x^n)^(3/2),x)","\int \frac{x^m}{{\left(a+b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int(x^m/(a + b*x^n)^(3/2), x)","F"
2677,0,-1,55,0.000000,"\text{Not used}","int(x^m/(a + b*x^n)^(5/2),x)","\int \frac{x^m}{{\left(a+b\,x^n\right)}^{5/2}} \,d x","Not used",1,"int(x^m/(a + b*x^n)^(5/2), x)","F"
2678,0,-1,59,0.000000,"\text{Not used}","int(x^(2*n + 3)/(a + b*x^n)^(1/2),x)","\int \frac{x^{2\,n+3}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^(2*n + 3)/(a + b*x^n)^(1/2), x)","F"
2679,0,-1,56,0.000000,"\text{Not used}","int(x^(n + 3)/(a + b*x^n)^(1/2),x)","\int \frac{x^{n+3}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^(n + 3)/(a + b*x^n)^(1/2), x)","F"
2680,0,-1,56,0.000000,"\text{Not used}","int(x^(3 - n)/(a + b*x^n)^(1/2),x)","\int \frac{x^{3-n}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^(3 - n)/(a + b*x^n)^(1/2), x)","F"
2681,0,-1,61,0.000000,"\text{Not used}","int(x^(3 - 2*n)/(a + b*x^n)^(1/2),x)","\int \frac{x^{3-2\,n}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^(3 - 2*n)/(a + b*x^n)^(1/2), x)","F"
2682,0,-1,66,0.000000,"\text{Not used}","int(x^(m + 2*n)/(a + b*x^n)^(1/2),x)","\int \frac{x^{m+2\,n}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^(m + 2*n)/(a + b*x^n)^(1/2), x)","F"
2683,0,-1,60,0.000000,"\text{Not used}","int(x^(m + n)/(a + b*x^n)^(1/2),x)","\int \frac{x^{m+n}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^(m + n)/(a + b*x^n)^(1/2), x)","F"
2684,0,-1,63,0.000000,"\text{Not used}","int(x^(m - n)/(a + b*x^n)^(1/2),x)","\int \frac{x^{m-n}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^(m - n)/(a + b*x^n)^(1/2), x)","F"
2685,0,-1,66,0.000000,"\text{Not used}","int(x^(m - 2*n)/(a + b*x^n)^(1/2),x)","\int \frac{x^{m-2\,n}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^(m - 2*n)/(a + b*x^n)^(1/2), x)","F"
2686,0,-1,15,0.000000,"\text{Not used}","int((m*x^(m - 1))/(a + b*x^n)^(1/2) - (b*n*x^(m + n - 1))/(2*(a + b*x^n)^(3/2)),x)","\int \frac{m\,x^{m-1}}{\sqrt{a+b\,x^n}}-\frac{b\,n\,x^{m+n-1}}{2\,{\left(a+b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int((m*x^(m - 1))/(a + b*x^n)^(1/2) - (b*n*x^(m + n - 1))/(2*(a + b*x^n)^(3/2)), x)","F"
2687,0,-1,129,0.000000,"\text{Not used}","int(x^((7*n)/2 - 1)/(a + b*x^n)^(1/2),x)","\int \frac{x^{\frac{7\,n}{2}-1}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^((7*n)/2 - 1)/(a + b*x^n)^(1/2), x)","F"
2688,0,-1,98,0.000000,"\text{Not used}","int(x^((5*n)/2 - 1)/(a + b*x^n)^(1/2),x)","\int \frac{x^{\frac{5\,n}{2}-1}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^((5*n)/2 - 1)/(a + b*x^n)^(1/2), x)","F"
2689,0,-1,62,0.000000,"\text{Not used}","int(x^((3*n)/2 - 1)/(a + b*x^n)^(1/2),x)","\int \frac{x^{\frac{3\,n}{2}-1}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^((3*n)/2 - 1)/(a + b*x^n)^(1/2), x)","F"
2690,0,-1,35,0.000000,"\text{Not used}","int(x^(n/2 - 1)/(a + b*x^n)^(1/2),x)","\int \frac{x^{\frac{n}{2}-1}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(x^(n/2 - 1)/(a + b*x^n)^(1/2), x)","F"
2691,1,24,26,1.311879,"\text{Not used}","int(1/(x^(n/2 + 1)*(a + b*x^n)^(1/2)),x)","-\frac{2\,\sqrt{a+b\,x^n}}{a\,n\,x^{n/2}}","Not used",1,"-(2*(a + b*x^n)^(1/2))/(a*n*x^(n/2))","B"
2692,0,-1,58,0.000000,"\text{Not used}","int(1/(x^((3*n)/2 + 1)*(a + b*x^n)^(1/2)),x)","\int \frac{1}{x^{\frac{3\,n}{2}+1}\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/(x^((3*n)/2 + 1)*(a + b*x^n)^(1/2)), x)","F"
2693,0,-1,89,0.000000,"\text{Not used}","int(1/(x^((5*n)/2 + 1)*(a + b*x^n)^(1/2)),x)","\int \frac{1}{x^{\frac{5\,n}{2}+1}\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/(x^((5*n)/2 + 1)*(a + b*x^n)^(1/2)), x)","F"
2694,0,-1,120,0.000000,"\text{Not used}","int(1/(x^((7*n)/2 + 1)*(a + b*x^n)^(1/2)),x)","\int \frac{1}{x^{\frac{7\,n}{2}+1}\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/(x^((7*n)/2 + 1)*(a + b*x^n)^(1/2)), x)","F"
2695,0,-1,65,0.000000,"\text{Not used}","int(x^m/(a + b*x^(m - 2))^(1/2),x)","\int \frac{x^m}{\sqrt{a+b\,x^{m-2}}} \,d x","Not used",1,"int(x^m/(a + b*x^(m - 2))^(1/2), x)","F"
2696,0,-1,67,0.000000,"\text{Not used}","int(x^m/(a + b*x^(2 - m))^(1/2),x)","\int \frac{x^m}{\sqrt{a+b\,x^{2-m}}} \,d x","Not used",1,"int(x^m/(a + b*x^(2 - m))^(1/2), x)","F"
2697,0,-1,26,0.000000,"\text{Not used}","int(x^m/(a + b*x^(m - 2))^(1/2) + (6*a*x^2)/(b*(a + b*x^(m - 2))^(1/2)*(m + 4)),x)","\int \frac{x^m}{\sqrt{a+b\,x^{m-2}}}+\frac{6\,a\,x^2}{b\,\sqrt{a+b\,x^{m-2}}\,\left(m+4\right)} \,d x","Not used",1,"int(x^m/(a + b*x^(m - 2))^(1/2) + (6*a*x^2)/(b*(a + b*x^(m - 2))^(1/2)*(m + 4)), x)","F"
2698,1,13,15,1.417689,"\text{Not used}","int((x^(m - 1)*(2*a*m + b*x^n*(2*m - n)))/(2*(a + b*x^n)^(3/2)),x)","\frac{x^m}{\sqrt{a+b\,x^n}}","Not used",1,"x^m/(a + b*x^n)^(1/2)","B"
2699,0,-1,15,0.000000,"\text{Not used}","int((m*x^(m - 1))/(a + b*x^n)^(1/2) - (b*n*x^(m + n - 1))/(2*(a + b*x^n)^(3/2)),x)","\int \frac{m\,x^{m-1}}{\sqrt{a+b\,x^n}}-\frac{b\,n\,x^{m+n-1}}{2\,{\left(a+b\,x^n\right)}^{3/2}} \,d x","Not used",1,"int((m*x^(m - 1))/(a + b*x^n)^(1/2) - (b*n*x^(m + n - 1))/(2*(a + b*x^n)^(3/2)), x)","F"
2700,0,-1,97,0.000000,"\text{Not used}","int(x^m/(a + b*x^(3*m + 3))^(1/3),x)","\int \frac{x^m}{{\left(a+b\,x^{3\,m+3}\right)}^{1/3}} \,d x","Not used",1,"int(x^m/(a + b*x^(3*m + 3))^(1/3), x)","F"
2701,0,-1,139,0.000000,"\text{Not used}","int(x^m*(a + b/x^((3*m)/2 + 3/2))^(2/3),x)","\int x^m\,{\left(a+\frac{b}{x^{\frac{3\,m}{2}+\frac{3}{2}}}\right)}^{2/3} \,d x","Not used",1,"int(x^m*(a + b/x^((3*m)/2 + 3/2))^(2/3), x)","F"
2702,0,-1,89,0.000000,"\text{Not used}","int(x^(n/3 - 1)/(a + b*x^n)^(1/3),x)","\int \frac{x^{\frac{n}{3}-1}}{{\left(a+b\,x^n\right)}^{1/3}} \,d x","Not used",1,"int(x^(n/3 - 1)/(a + b*x^n)^(1/3), x)","F"
2703,0,-1,114,0.000000,"\text{Not used}","int((a + b*x^n)^(2/3)/x^((2*n)/3 + 1),x)","\int \frac{{\left(a+b\,x^n\right)}^{2/3}}{x^{\frac{2\,n}{3}+1}} \,d x","Not used",1,"int((a + b*x^n)^(2/3)/x^((2*n)/3 + 1), x)","F"
2704,0,-1,54,0.000000,"\text{Not used}","int(x^m*(a + b*x^n)^p,x)","\int x^m\,{\left(a+b\,x^n\right)}^p \,d x","Not used",1,"int(x^m*(a + b*x^n)^p, x)","F"
2705,1,64,146,1.555668,"\text{Not used}","int(1/(a + b*x^n)^(1/n + 4),x)","-\frac{x^{1-4\,n}\,{\left(\frac{a}{b\,x^n}+1\right)}^{1/n}\,{{}}_2{\mathrm{F}}_1\left(4,\frac{1}{n}+4;\ 5;\ -\frac{a}{b\,x^n}\right)}{4\,b^4\,n\,{\left(a+b\,x^n\right)}^{1/n}}","Not used",1,"-(x^(1 - 4*n)*(a/(b*x^n) + 1)^(1/n)*hypergeom([4, 1/n + 4], 5, -a/(b*x^n)))/(4*b^4*n*(a + b*x^n)^(1/n))","B"
2706,1,64,96,1.426119,"\text{Not used}","int(1/(a + b*x^n)^(1/n + 3),x)","-\frac{x^{1-3\,n}\,{\left(\frac{a}{b\,x^n}+1\right)}^{1/n}\,{{}}_2{\mathrm{F}}_1\left(3,\frac{1}{n}+3;\ 4;\ -\frac{a}{b\,x^n}\right)}{3\,b^3\,n\,{\left(a+b\,x^n\right)}^{1/n}}","Not used",1,"-(x^(1 - 3*n)*(a/(b*x^n) + 1)^(1/n)*hypergeom([3, 1/n + 3], 4, -a/(b*x^n)))/(3*b^3*n*(a + b*x^n)^(1/n))","B"
2707,1,64,50,1.435309,"\text{Not used}","int(1/(a + b*x^n)^(1/n + 2),x)","-\frac{x^{1-2\,n}\,{\left(\frac{a}{b\,x^n}+1\right)}^{1/n}\,{{}}_2{\mathrm{F}}_1\left(2,\frac{1}{n}+2;\ 3;\ -\frac{a}{b\,x^n}\right)}{2\,b^2\,n\,{\left(a+b\,x^n\right)}^{1/n}}","Not used",1,"-(x^(1 - 2*n)*(a/(b*x^n) + 1)^(1/n)*hypergeom([2, 1/n + 2], 3, -a/(b*x^n)))/(2*b^2*n*(a + b*x^n)^(1/n))","B"
2708,1,75,18,1.329462,"\text{Not used}","int(1/(a + b*x^n)^(1/n + 1),x)","\frac{b\,x^{n+1}\,\left(\frac{a}{b\,x^n}-{\left(\frac{a}{b\,x^n}+1\right)}^{\frac{n+1}{n}}+1\right)}{a\,n\,\left(\frac{n+1}{n}-1\right)\,{\left(a+b\,x^n\right)}^{\frac{n+1}{n}}}","Not used",1,"(b*x^(n + 1)*(a/(b*x^n) - (a/(b*x^n) + 1)^((n + 1)/n) + 1))/(a*n*((n + 1)/n - 1)*(a + b*x^n)^((n + 1)/n))","B"
2709,1,51,50,1.476036,"\text{Not used}","int(1/(a + b*x^n)^(1/n),x)","\frac{x\,{\left(\frac{b\,x^n}{a}+1\right)}^{1/n}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{n},\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{{\left(a+b\,x^n\right)}^{1/n}}","Not used",1,"(x*((b*x^n)/a + 1)^(1/n)*hypergeom([1/n, 1/n], 1/n + 1, -(b*x^n)/a))/(a + b*x^n)^(1/n)","B"
2710,1,54,53,1.460816,"\text{Not used}","int((a + b*x^n)^(1 - 1/n),x)","\frac{a\,x\,{\left(\frac{b\,x^n}{a}+1\right)}^{1/n}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{n}-1,\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{{\left(a+b\,x^n\right)}^{1/n}}","Not used",1,"(a*x*((b*x^n)/a + 1)^(1/n)*hypergeom([1/n - 1, 1/n], 1/n + 1, -(b*x^n)/a))/(a + b*x^n)^(1/n)","B"
2711,1,56,55,1.312885,"\text{Not used}","int((a + b*x^n)^(2 - 1/n),x)","\frac{a^2\,x\,{\left(\frac{b\,x^n}{a}+1\right)}^{1/n}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{n}-2,\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{{\left(a+b\,x^n\right)}^{1/n}}","Not used",1,"(a^2*x*((b*x^n)/a + 1)^(1/n)*hypergeom([1/n - 2, 1/n], 1/n + 1, -(b*x^n)/a))/(a + b*x^n)^(1/n)","B"
2712,1,21,21,1.301567,"\text{Not used}","int(x^m*(b*x^n)^p,x)","\frac{x^{m+1}\,{\left(b\,x^n\right)}^p}{m+n\,p+1}","Not used",1,"(x^(m + 1)*(b*x^n)^p)/(m + n*p + 1)","B"
2713,1,18,18,1.220394,"\text{Not used}","int(x^2*(b*x^n)^p,x)","\frac{x^3\,{\left(b\,x^n\right)}^p}{n\,p+3}","Not used",1,"(x^3*(b*x^n)^p)/(n*p + 3)","B"
2714,1,18,18,1.199213,"\text{Not used}","int(x*(b*x^n)^p,x)","\frac{x^2\,{\left(b\,x^n\right)}^p}{n\,p+2}","Not used",1,"(x^2*(b*x^n)^p)/(n*p + 2)","B"
2715,1,16,16,1.757238,"\text{Not used}","int((b*x^n)^p,x)","\frac{x\,{\left(b\,x^n\right)}^p}{n\,p+1}","Not used",1,"(x*(b*x^n)^p)/(n*p + 1)","B"
2716,0,-1,14,0.000000,"\text{Not used}","int((b*x^n)^p/x,x)","\int \frac{{\left(b\,x^n\right)}^p}{x} \,d x","Not used",1,"int((b*x^n)^p/x, x)","F"
2717,0,-1,20,0.000000,"\text{Not used}","int((b*x^n)^p/x^2,x)","\int \frac{{\left(b\,x^n\right)}^p}{x^2} \,d x","Not used",1,"int((b*x^n)^p/x^2, x)","F"
2718,0,-1,20,0.000000,"\text{Not used}","int((b*x^n)^p/x^3,x)","\int \frac{{\left(b\,x^n\right)}^p}{x^3} \,d x","Not used",1,"int((b*x^n)^p/x^3, x)","F"
2719,0,-1,20,0.000000,"\text{Not used}","int((b*x^n)^p/x^4,x)","\int \frac{{\left(b\,x^n\right)}^p}{x^4} \,d x","Not used",1,"int((b*x^n)^p/x^4, x)","F"
2720,1,23,23,1.586951,"\text{Not used}","int(x^(n - 1)*(a + b*x^n)^p,x)","\frac{{\left(a+b\,x^n\right)}^{p+1}}{b\,n\,\left(p+1\right)}","Not used",1,"(a + b*x^n)^(p + 1)/(b*n*(p + 1))","B"
2721,0,-1,49,0.000000,"\text{Not used}","int(x^(2*n - 1)*(a + b*x^n)^p,x)","\int x^{2\,n-1}\,{\left(a+b\,x^n\right)}^p \,d x","Not used",1,"int(x^(2*n - 1)*(a + b*x^n)^p, x)","F"
2722,0,-1,75,0.000000,"\text{Not used}","int(x^(3*n - 1)*(a + b*x^n)^p,x)","\int x^{3\,n-1}\,{\left(a+b\,x^n\right)}^p \,d x","Not used",1,"int(x^(3*n - 1)*(a + b*x^n)^p, x)","F"
2723,0,-1,103,0.000000,"\text{Not used}","int(x^(4*n - 1)*(a + b*x^n)^p,x)","\int x^{4\,n-1}\,{\left(a+b\,x^n\right)}^p \,d x","Not used",1,"int(x^(4*n - 1)*(a + b*x^n)^p, x)","F"
2724,0,-1,32,0.000000,"\text{Not used}","int((a + b*x^n)^p/x^(n + n*p + 1),x)","\int \frac{{\left(a+b\,x^n\right)}^p}{x^{n+n\,p+1}} \,d x","Not used",1,"int((a + b*x^n)^p/x^(n + n*p + 1), x)","F"
2725,1,151,24,0.002101,"\text{Not used}","int((a + b*x^n)^8/x^(9*n + 1),x)","-\frac{a^8}{9\,n\,x^{9\,n}}-\frac{b^8}{n\,x^n}-\frac{28\,a^2\,b^6}{3\,n\,x^{3\,n}}-\frac{14\,a^3\,b^5}{n\,x^{4\,n}}-\frac{14\,a^4\,b^4}{n\,x^{5\,n}}-\frac{28\,a^5\,b^3}{3\,n\,x^{6\,n}}-\frac{4\,a^6\,b^2}{n\,x^{7\,n}}-\frac{4\,a\,b^7}{n\,x^{2\,n}}-\frac{a^7\,b}{n\,x^{8\,n}}","Not used",1,"- a^8/(9*n*x^(9*n)) - b^8/(n*x^n) - (28*a^2*b^6)/(3*n*x^(3*n)) - (14*a^3*b^5)/(n*x^(4*n)) - (14*a^4*b^4)/(n*x^(5*n)) - (28*a^5*b^3)/(3*n*x^(6*n)) - (4*a^6*b^2)/(n*x^(7*n)) - (4*a*b^7)/(n*x^(2*n)) - (a^7*b)/(n*x^(8*n))","B"
2726,1,52,30,1.421583,"\text{Not used}","int((a + b*x^3)^p/x^(3*p + 4),x)","-{\left(b\,x^3+a\right)}^p\,\left(\frac{x}{3\,x^{3\,p+4}\,\left(p+1\right)}+\frac{b\,x^4}{3\,a\,x^{3\,p+4}\,\left(p+1\right)}\right)","Not used",1,"-(a + b*x^3)^p*(x/(3*x^(3*p + 4)*(p + 1)) + (b*x^4)/(3*a*x^(3*p + 4)*(p + 1)))","B"
2727,1,92,19,1.228734,"\text{Not used}","int((a + b*x^3)^8/x^28,x)","-\frac{\frac{a^8}{27}+\frac{a^7\,b\,x^3}{3}+\frac{4\,a^6\,b^2\,x^6}{3}+\frac{28\,a^5\,b^3\,x^9}{9}+\frac{14\,a^4\,b^4\,x^{12}}{3}+\frac{14\,a^3\,b^5\,x^{15}}{3}+\frac{28\,a^2\,b^6\,x^{18}}{9}+\frac{4\,a\,b^7\,x^{21}}{3}+\frac{b^8\,x^{24}}{3}}{x^{27}}","Not used",1,"-(a^8/27 + (b^8*x^24)/3 + (a^7*b*x^3)/3 + (4*a*b^7*x^21)/3 + (4*a^6*b^2*x^6)/3 + (28*a^5*b^3*x^9)/9 + (14*a^4*b^4*x^12)/3 + (14*a^3*b^5*x^15)/3 + (28*a^2*b^6*x^18)/9)/x^27","B"
2728,1,22,23,0.002057,"\text{Not used}","int(1/(x*(a + b*x^n)),x)","-\frac{\ln\left(a+b\,x^n\right)-n\,\ln\left(x\right)}{a\,n}","Not used",1,"-(log(a + b*x^n) - n*log(x))/(a*n)","B"
2729,1,18,22,1.183810,"\text{Not used}","int(1/(x*(a + b*x^3)),x)","-\frac{\ln\left(b\,x^3+a\right)-3\,\ln\left(x\right)}{3\,a}","Not used",1,"-(log(a + b*x^3) - 3*log(x))/(3*a)","B"
2730,1,64,147,1.527950,"\text{Not used}","int(1/(a + b*x^n)^((4*n + 1)/n),x)","-\frac{x^{1-4\,n}\,{\left(\frac{a}{b\,x^n}+1\right)}^{1/n}\,{{}}_2{\mathrm{F}}_1\left(4,\frac{1}{n}+4;\ 5;\ -\frac{a}{b\,x^n}\right)}{4\,b^4\,n\,{\left(a+b\,x^n\right)}^{1/n}}","Not used",1,"-(x^(1 - 4*n)*(a/(b*x^n) + 1)^(1/n)*hypergeom([4, 1/n + 4], 5, -a/(b*x^n)))/(4*b^4*n*(a + b*x^n)^(1/n))","B"
2731,1,64,97,1.340946,"\text{Not used}","int(1/(a + b*x^n)^((3*n + 1)/n),x)","-\frac{x^{1-3\,n}\,{\left(\frac{a}{b\,x^n}+1\right)}^{1/n}\,{{}}_2{\mathrm{F}}_1\left(3,\frac{1}{n}+3;\ 4;\ -\frac{a}{b\,x^n}\right)}{3\,b^3\,n\,{\left(a+b\,x^n\right)}^{1/n}}","Not used",1,"-(x^(1 - 3*n)*(a/(b*x^n) + 1)^(1/n)*hypergeom([3, 1/n + 3], 4, -a/(b*x^n)))/(3*b^3*n*(a + b*x^n)^(1/n))","B"
2732,1,64,51,1.323937,"\text{Not used}","int(1/(a + b*x^n)^((2*n + 1)/n),x)","-\frac{x^{1-2\,n}\,{\left(\frac{a}{b\,x^n}+1\right)}^{1/n}\,{{}}_2{\mathrm{F}}_1\left(2,\frac{1}{n}+2;\ 3;\ -\frac{a}{b\,x^n}\right)}{2\,b^2\,n\,{\left(a+b\,x^n\right)}^{1/n}}","Not used",1,"-(x^(1 - 2*n)*(a/(b*x^n) + 1)^(1/n)*hypergeom([2, 1/n + 2], 3, -a/(b*x^n)))/(2*b^2*n*(a + b*x^n)^(1/n))","B"
2733,1,75,18,1.304469,"\text{Not used}","int(1/(a + b*x^n)^((n + 1)/n),x)","\frac{b\,x^{n+1}\,\left(\frac{a}{b\,x^n}-{\left(\frac{a}{b\,x^n}+1\right)}^{\frac{n+1}{n}}+1\right)}{a\,n\,\left(\frac{n+1}{n}-1\right)\,{\left(a+b\,x^n\right)}^{\frac{n+1}{n}}}","Not used",1,"(b*x^(n + 1)*(a/(b*x^n) - (a/(b*x^n) + 1)^((n + 1)/n) + 1))/(a*n*((n + 1)/n - 1)*(a + b*x^n)^((n + 1)/n))","B"
2734,1,51,50,0.002123,"\text{Not used}","int(1/(a + b*x^n)^(1/n),x)","\frac{x\,{\left(\frac{b\,x^n}{a}+1\right)}^{1/n}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{n},\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{{\left(a+b\,x^n\right)}^{1/n}}","Not used",1,"(x*((b*x^n)/a + 1)^(1/n)*hypergeom([1/n, 1/n], 1/n + 1, -(b*x^n)/a))/(a + b*x^n)^(1/n)","B"
2735,1,54,59,1.507532,"\text{Not used}","int((a + b*x^n)^((n - 1)/n),x)","\frac{a\,x\,{\left(\frac{b\,x^n}{a}+1\right)}^{1/n}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{n}-1,\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{{\left(a+b\,x^n\right)}^{1/n}}","Not used",1,"(a*x*((b*x^n)/a + 1)^(1/n)*hypergeom([1/n - 1, 1/n], 1/n + 1, -(b*x^n)/a))/(a + b*x^n)^(1/n)","B"
2736,1,56,56,1.320234,"\text{Not used}","int((a + b*x^n)^((2*n - 1)/n),x)","\frac{a^2\,x\,{\left(\frac{b\,x^n}{a}+1\right)}^{1/n}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{n}-2,\frac{1}{n};\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{{\left(a+b\,x^n\right)}^{1/n}}","Not used",1,"(a^2*x*((b*x^n)/a + 1)^(1/n)*hypergeom([1/n - 2, 1/n], 1/n + 1, -(b*x^n)/a))/(a + b*x^n)^(1/n)","B"
2737,1,22,15,1.178927,"\text{Not used}","int(1/(x*(a + b/x^n)),x)","\frac{\ln\left(a+\frac{b}{x^n}\right)+n\,\ln\left(x\right)}{a\,n}","Not used",1,"(log(a + b/x^n) + n*log(x))/(a*n)","B"
2738,1,19,19,1.252309,"\text{Not used}","int(x^m/(a + b*x^(m + 1)),x)","\frac{\ln\left(a+b\,x^{m+1}\right)}{b\,\left(m+1\right)}","Not used",1,"log(a + b*x^(m + 1))/(b*(m + 1))","B"
2739,1,27,27,1.493853,"\text{Not used}","int(x^m*(a + b*x^(m + 1))^n,x)","\frac{{\left(a+b\,x^{m+1}\right)}^{n+1}}{b\,\left(m+1\right)\,\left(n+1\right)}","Not used",1,"(a + b*x^(m + 1))^(n + 1)/(b*(m + 1)*(n + 1))","B"
2740,1,72,71,1.451330,"\text{Not used}","int(x^m*(a + b*x^(2*m + 2))^3,x)","\frac{a^3\,x\,x^m}{m+1}+\frac{b^3\,x^{7\,m}\,x^7}{7\,m+7}+\frac{a^2\,b\,x^{3\,m}\,x^3}{m+1}+\frac{3\,a\,b^2\,x^{5\,m}\,x^5}{5\,m+5}","Not used",1,"(a^3*x*x^m)/(m + 1) + (b^3*x^(7*m)*x^7)/(7*m + 7) + (a^2*b*x^(3*m)*x^3)/(m + 1) + (3*a*b^2*x^(5*m)*x^5)/(5*m + 5)","B"
2741,1,38,52,1.364489,"\text{Not used}","int(x^m*(a + b*x^(2*m + 2))^2,x)","\frac{x^{m+1}\,\left(\frac{b^2\,x^{4\,m+4}}{5}+a^2+\frac{2\,a\,b\,x^{2\,m+2}}{3}\right)}{m+1}","Not used",1,"(x^(m + 1)*((b^2*x^(4*m + 4))/5 + a^2 + (2*a*b*x^(2*m + 2))/3))/(m + 1)","B"
2742,1,23,30,1.286287,"\text{Not used}","int(x^m*(a + b*x^(2*m + 2)),x)","\frac{x^{m+1}\,\left(a+\frac{b\,x^{2\,m+2}}{3}\right)}{m+1}","Not used",1,"(x^(m + 1)*(a + (b*x^(2*m + 2))/3))/(m + 1)","B"
2743,0,-1,33,0.000000,"\text{Not used}","int(x^m/(a + b*x^(2*m + 2)),x)","\int \frac{x^m}{a+b\,x^{2\,m+2}} \,d x","Not used",1,"int(x^m/(a + b*x^(2*m + 2)), x)","F"
2744,0,-1,67,0.000000,"\text{Not used}","int(x^m/(a + b*x^(2*m + 2))^2,x)","\int \frac{x^m}{{\left(a+b\,x^{2\,m+2}\right)}^2} \,d x","Not used",1,"int(x^m/(a + b*x^(2*m + 2))^2, x)","F"
2745,0,-1,97,0.000000,"\text{Not used}","int(x^m/(a + b*x^(2*m + 2))^3,x)","\int \frac{x^m}{{\left(a+b\,x^{2\,m+2}\right)}^3} \,d x","Not used",1,"int(x^m/(a + b*x^(2*m + 2))^3, x)","F"
2746,0,-1,136,0.000000,"\text{Not used}","int(x^m*(a + b*x^(2*m + 2))^(5/2),x)","\int x^m\,{\left(a+b\,x^{2\,m+2}\right)}^{5/2} \,d x","Not used",1,"int(x^m*(a + b*x^(2*m + 2))^(5/2), x)","F"
2747,0,-1,104,0.000000,"\text{Not used}","int(x^m*(a + b*x^(2*m + 2))^(3/2),x)","\int x^m\,{\left(a+b\,x^{2\,m+2}\right)}^{3/2} \,d x","Not used",1,"int(x^m*(a + b*x^(2*m + 2))^(3/2), x)","F"
2748,0,-1,72,0.000000,"\text{Not used}","int(x^m*(a + b*x^(2*m + 2))^(1/2),x)","\int x^m\,\sqrt{a+b\,x^{2\,m+2}} \,d x","Not used",1,"int(x^m*(a + b*x^(2*m + 2))^(1/2), x)","F"
2749,0,-1,38,0.000000,"\text{Not used}","int(x^m/(a + b*x^(2*m + 2))^(1/2),x)","\int \frac{x^m}{\sqrt{a+b\,x^{2\,m+2}}} \,d x","Not used",1,"int(x^m/(a + b*x^(2*m + 2))^(1/2), x)","F"
2750,1,27,29,1.220488,"\text{Not used}","int(x^m/(a + b*x^(2*m + 2))^(3/2),x)","\frac{x^{m+1}}{a\,\sqrt{a+b\,x^{2\,m+2}}\,\left(m+1\right)}","Not used",1,"x^(m + 1)/(a*(a + b*x^(2*m + 2))^(1/2)*(m + 1))","B"
2751,1,39,65,1.239757,"\text{Not used}","int(x^m/(a + b*x^(2*m + 2))^(5/2),x)","\frac{x^{m+1}\,\left(a+\frac{2\,b\,x^{2\,m+2}}{3}\right)}{a^2\,{\left(a+b\,x^{2\,m+2}\right)}^{3/2}\,\left(m+1\right)}","Not used",1,"(x^(m + 1)*(a + (2*b*x^(2*m + 2))/3))/(a^2*(a + b*x^(2*m + 2))^(3/2)*(m + 1))","B"
2752,1,54,102,1.283502,"\text{Not used}","int(x^m/(a + b*x^(2*m + 2))^(7/2),x)","\frac{x^{m+1}\,\left(\frac{8\,b^2\,x^{4\,m+4}}{15}+a^2+\frac{4\,a\,b\,x^{2\,m+2}}{3}\right)}{a^3\,{\left(a+b\,x^{2\,m+2}\right)}^{5/2}\,\left(m+1\right)}","Not used",1,"(x^(m + 1)*((8*b^2*x^(4*m + 4))/15 + a^2 + (4*a*b*x^(2*m + 2))/3))/(a^3*(a + b*x^(2*m + 2))^(5/2)*(m + 1))","B"
2753,1,18,20,1.245143,"\text{Not used}","int(x^n*(x^(n + 1) + 1)^(1/2),x)","\frac{2\,{\left(x^{n+1}+1\right)}^{3/2}}{3\,\left(n+1\right)}","Not used",1,"(2*(x^(n + 1) + 1)^(3/2))/(3*(n + 1))","B"
2754,1,20,22,1.229887,"\text{Not used}","int(x^n*(x^(n + 1) + a^2)^(1/2),x)","\frac{2\,{\left(x^{n+1}+a^2\right)}^{3/2}}{3\,\left(n+1\right)}","Not used",1,"(2*(x^(n + 1) + a^2)^(3/2))/(3*(n + 1))","B"
2755,1,89,64,1.236096,"\text{Not used}","int((c*x)^m*(a + b*x^n)^2,x)","{\left(c\,x\right)}^m\,\left(\frac{a^2\,x}{m+1}+\frac{b^2\,x\,x^{2\,n}\,\left(m+n+1\right)}{m^2+3\,m\,n+2\,m+2\,n^2+3\,n+1}+\frac{2\,a\,b\,x\,x^n\,\left(m+2\,n+1\right)}{m^2+3\,m\,n+2\,m+2\,n^2+3\,n+1}\right)","Not used",1,"(c*x)^m*((a^2*x)/(m + 1) + (b^2*x*x^(2*n)*(m + n + 1))/(2*m + 3*n + 3*m*n + m^2 + 2*n^2 + 1) + (2*a*b*x*x^n*(m + 2*n + 1))/(2*m + 3*n + 3*m*n + m^2 + 2*n^2 + 1))","B"
2756,1,95,58,1.215536,"\text{Not used}","int((c*x)^m*(a + b*x^3)^2,x)","{\left(c\,x\right)}^m\,\left(\frac{a^2\,x\,\left(m^2+11\,m+28\right)}{m^3+12\,m^2+39\,m+28}+\frac{b^2\,x^7\,\left(m^2+5\,m+4\right)}{m^3+12\,m^2+39\,m+28}+\frac{2\,a\,b\,x^4\,\left(m^2+8\,m+7\right)}{m^3+12\,m^2+39\,m+28}\right)","Not used",1,"(c*x)^m*((a^2*x*(11*m + m^2 + 28))/(39*m + 12*m^2 + m^3 + 28) + (b^2*x^7*(5*m + m^2 + 4))/(39*m + 12*m^2 + m^3 + 28) + (2*a*b*x^4*(8*m + m^2 + 7))/(39*m + 12*m^2 + m^3 + 28))","B"
2757,1,95,58,1.200396,"\text{Not used}","int((c*x)^m*(a + b*x^2)^2,x)","{\left(c\,x\right)}^m\,\left(\frac{a^2\,x\,\left(m^2+8\,m+15\right)}{m^3+9\,m^2+23\,m+15}+\frac{b^2\,x^5\,\left(m^2+4\,m+3\right)}{m^3+9\,m^2+23\,m+15}+\frac{2\,a\,b\,x^3\,\left(m^2+6\,m+5\right)}{m^3+9\,m^2+23\,m+15}\right)","Not used",1,"(c*x)^m*((a^2*x*(8*m + m^2 + 15))/(23*m + 9*m^2 + m^3 + 15) + (b^2*x^5*(4*m + m^2 + 3))/(23*m + 9*m^2 + m^3 + 15) + (2*a*b*x^3*(6*m + m^2 + 5))/(23*m + 9*m^2 + m^3 + 15))","B"
2758,1,95,58,1.369878,"\text{Not used}","int((c*x)^m*(a + b*x)^2,x)","{\left(c\,x\right)}^m\,\left(\frac{a^2\,x\,\left(m^2+5\,m+6\right)}{m^3+6\,m^2+11\,m+6}+\frac{b^2\,x^3\,\left(m^2+3\,m+2\right)}{m^3+6\,m^2+11\,m+6}+\frac{2\,a\,b\,x^2\,\left(m^2+4\,m+3\right)}{m^3+6\,m^2+11\,m+6}\right)","Not used",1,"(c*x)^m*((a^2*x*(5*m + m^2 + 6))/(11*m + 6*m^2 + m^3 + 6) + (b^2*x^3*(3*m + m^2 + 2))/(11*m + 6*m^2 + m^3 + 6) + (2*a*b*x^2*(4*m + m^2 + 3))/(11*m + 6*m^2 + m^3 + 6))","B"
2759,1,45,52,1.210239,"\text{Not used}","int((c*x)^m*(a + b/x)^2,x)","\frac{b^2\,{\left(c\,x\right)}^m}{x\,\left(m-1\right)}+\frac{a\,{\left(c\,x\right)}^m\,\left(2\,b+2\,b\,m+a\,m\,x\right)}{m\,\left(m+1\right)}","Not used",1,"(b^2*(c*x)^m)/(x*(m - 1)) + (a*(c*x)^m*(2*b + 2*b*m + a*m*x))/(m*(m + 1))","B"
2760,1,89,61,1.227552,"\text{Not used}","int((c*x)^m*(a + b/x^2)^2,x)","\frac{{\left(c\,x\right)}^m\,\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)}{x^3\,\left(-m^3+3\,m^2+m-3\right)}","Not used",1,"((c*x)^m*(b^2 - b^2*m^2 - 3*a^2*x^4 + 4*a^2*m*x^4 - a^2*m^2*x^4 + 6*a*b*x^2 + 4*a*b*m*x^2 - 2*a*b*m^2*x^2))/(x^3*(m + 3*m^2 - m^3 - 3))","B"
2761,1,97,63,1.224467,"\text{Not used}","int((c*x)^m*(a + b/x^3)^2,x)","-\frac{{\left(c\,x\right)}^m\,\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)}{x^5\,\left(m^3-6\,m^2+3\,m+10\right)}","Not used",1,"-((c*x)^m*(b^2*m + 2*b^2 - b^2*m^2 - 10*a^2*x^6 + 7*a^2*m*x^6 - a^2*m^2*x^6 + 10*a*b*x^3 + 8*a*b*m*x^3 - 2*a*b*m^2*x^3))/(x^5*(3*m - 6*m^2 + m^3 + 10))","B"
2762,0,-1,74,0.000000,"\text{Not used}","int(1/((c*x)^(n/2 + 1)*(a + b*x^n)),x)","\int \frac{1}{{\left(c\,x\right)}^{\frac{n}{2}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/((c*x)^(n/2 + 1)*(a + b*x^n)), x)","F"
2763,0,-1,222,0.000000,"\text{Not used}","int(1/((c*x)^((2*n)/3 + 1)*(a + b*x^n)),x)","\int \frac{1}{{\left(c\,x\right)}^{\frac{2\,n}{3}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/((c*x)^((2*n)/3 + 1)*(a + b*x^n)), x)","F"
2764,0,-1,317,0.000000,"\text{Not used}","int(1/((c*x)^((3*n)/4 + 1)*(a + b*x^n)),x)","\int \frac{1}{{\left(c\,x\right)}^{\frac{3\,n}{4}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/((c*x)^((3*n)/4 + 1)*(a + b*x^n)), x)","F"
2765,0,-1,69,0.000000,"\text{Not used}","int(1/((c*x)^(n + 1)*(a + b*x^n)),x)","\int \frac{1}{{\left(c\,x\right)}^{n+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/((c*x)^(n + 1)*(a + b*x^n)), x)","F"
2766,0,-1,74,0.000000,"\text{Not used}","int(1/((c*x)^(n/2 + 1)*(a + b*x^n)),x)","\int \frac{1}{{\left(c\,x\right)}^{\frac{n}{2}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/((c*x)^(n/2 + 1)*(a + b*x^n)), x)","F"
2767,0,-1,220,0.000000,"\text{Not used}","int(1/((c*x)^(n/3 + 1)*(a + b*x^n)),x)","\int \frac{1}{{\left(c\,x\right)}^{\frac{n}{3}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/((c*x)^(n/3 + 1)*(a + b*x^n)), x)","F"
2768,0,-1,315,0.000000,"\text{Not used}","int(1/((c*x)^(n/4 + 1)*(a + b*x^n)),x)","\int \frac{1}{{\left(c\,x\right)}^{\frac{n}{4}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/((c*x)^(n/4 + 1)*(a + b*x^n)), x)","F"
2769,0,-1,100,0.000000,"\text{Not used}","int(1/((c*x)^((3*n)/2 + 1)*(a + b*x^n)),x)","\int \frac{1}{{\left(c\,x\right)}^{\frac{3\,n}{2}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/((c*x)^((3*n)/2 + 1)*(a + b*x^n)), x)","F"
2770,0,-1,246,0.000000,"\text{Not used}","int(1/((c*x)^((4*n)/3 + 1)*(a + b*x^n)),x)","\int \frac{1}{{\left(c\,x\right)}^{\frac{4\,n}{3}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/((c*x)^((4*n)/3 + 1)*(a + b*x^n)), x)","F"
2771,0,-1,341,0.000000,"\text{Not used}","int(1/((c*x)^((5*n)/4 + 1)*(a + b*x^n)),x)","\int \frac{1}{{\left(c\,x\right)}^{\frac{5\,n}{4}+1}\,\left(a+b\,x^n\right)} \,d x","Not used",1,"int(1/((c*x)^((5*n)/4 + 1)*(a + b*x^n)), x)","F"
2772,0,-1,44,0.000000,"\text{Not used}","int((c*x)^(n + 4)/(a + b*x^n),x)","\int \frac{{\left(c\,x\right)}^{n+4}}{a+b\,x^n} \,d x","Not used",1,"int((c*x)^(n + 4)/(a + b*x^n), x)","F"
2773,0,-1,46,0.000000,"\text{Not used}","int((c*x)^(n + 3)/(a + b*x^n),x)","\int \frac{{\left(c\,x\right)}^{n+3}}{a+b\,x^n} \,d x","Not used",1,"int((c*x)^(n + 3)/(a + b*x^n), x)","F"
2774,0,-1,44,0.000000,"\text{Not used}","int((c*x)^(n + 2)/(a + b*x^n),x)","\int \frac{{\left(c\,x\right)}^{n+2}}{a+b\,x^n} \,d x","Not used",1,"int((c*x)^(n + 2)/(a + b*x^n), x)","F"
2775,0,-1,44,0.000000,"\text{Not used}","int((c*x)^(n + 1)/(a + b*x^n),x)","\int \frac{{\left(c\,x\right)}^{n+1}}{a+b\,x^n} \,d x","Not used",1,"int((c*x)^(n + 1)/(a + b*x^n), x)","F"
2776,0,-1,40,0.000000,"\text{Not used}","int((c*x)^n/(a + b*x^n),x)","\int \frac{{\left(c\,x\right)}^n}{a+b\,x^n} \,d x","Not used",1,"int((c*x)^n/(a + b*x^n), x)","F"
2777,0,-1,28,0.000000,"\text{Not used}","int((c*x)^(n - 1)/(a + b*x^n),x)","\int \frac{{\left(c\,x\right)}^{n-1}}{a+b\,x^n} \,d x","Not used",1,"int((c*x)^(n - 1)/(a + b*x^n), x)","F"
2778,0,-1,50,0.000000,"\text{Not used}","int((c*x)^(n - 2)/(a + b*x^n),x)","\int \frac{{\left(c\,x\right)}^{n-2}}{a+b\,x^n} \,d x","Not used",1,"int((c*x)^(n - 2)/(a + b*x^n), x)","F"
2779,0,-1,52,0.000000,"\text{Not used}","int((c*x)^(n - 3)/(a + b*x^n),x)","\int \frac{{\left(c\,x\right)}^{n-3}}{a+b\,x^n} \,d x","Not used",1,"int((c*x)^(n - 3)/(a + b*x^n), x)","F"
2780,1,29,24,1.163488,"\text{Not used}","int((c*x)^(n - 1)/(a + b*x^n)^2,x)","\frac{x\,{\left(c\,x\right)}^{n-1}}{a\,b\,n\,\left(x^n+\frac{a}{b}\right)}","Not used",1,"(x*(c*x)^(n - 1))/(a*b*n*(x^n + a/b))","B"
2781,0,-1,178,0.000000,"\text{Not used}","int((c*x)^((7*n)/2 - 1)/(a + b*x^n)^(1/2),x)","\int \frac{{\left(c\,x\right)}^{\frac{7\,n}{2}-1}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int((c*x)^((7*n)/2 - 1)/(a + b*x^n)^(1/2), x)","F"
2782,0,-1,137,0.000000,"\text{Not used}","int((c*x)^((5*n)/2 - 1)/(a + b*x^n)^(1/2),x)","\int \frac{{\left(c\,x\right)}^{\frac{5\,n}{2}-1}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int((c*x)^((5*n)/2 - 1)/(a + b*x^n)^(1/2), x)","F"
2783,0,-1,91,0.000000,"\text{Not used}","int((c*x)^((3*n)/2 - 1)/(a + b*x^n)^(1/2),x)","\int \frac{{\left(c\,x\right)}^{\frac{3\,n}{2}-1}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int((c*x)^((3*n)/2 - 1)/(a + b*x^n)^(1/2), x)","F"
2784,0,-1,54,0.000000,"\text{Not used}","int((c*x)^(n/2 - 1)/(a + b*x^n)^(1/2),x)","\int \frac{{\left(c\,x\right)}^{\frac{n}{2}-1}}{\sqrt{a+b\,x^n}} \,d x","Not used",1,"int((c*x)^(n/2 - 1)/(a + b*x^n)^(1/2), x)","F"
2785,1,29,31,1.213907,"\text{Not used}","int(1/((c*x)^(n/2 + 1)*(a + b*x^n)^(1/2)),x)","-\frac{2\,x\,\sqrt{a+b\,x^n}}{a\,n\,{\left(c\,x\right)}^{\frac{n}{2}+1}}","Not used",1,"-(2*x*(a + b*x^n)^(1/2))/(a*n*(c*x)^(n/2 + 1))","B"
2786,0,-1,65,0.000000,"\text{Not used}","int(1/((c*x)^((3*n)/2 + 1)*(a + b*x^n)^(1/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{\frac{3\,n}{2}+1}\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/((c*x)^((3*n)/2 + 1)*(a + b*x^n)^(1/2)), x)","F"
2787,0,-1,98,0.000000,"\text{Not used}","int(1/((c*x)^((5*n)/2 + 1)*(a + b*x^n)^(1/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{\frac{5\,n}{2}+1}\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/((c*x)^((5*n)/2 + 1)*(a + b*x^n)^(1/2)), x)","F"
2788,0,-1,129,0.000000,"\text{Not used}","int(1/((c*x)^((7*n)/2 + 1)*(a + b*x^n)^(1/2)),x)","\int \frac{1}{{\left(c\,x\right)}^{\frac{7\,n}{2}+1}\,\sqrt{a+b\,x^n}} \,d x","Not used",1,"int(1/((c*x)^((7*n)/2 + 1)*(a + b*x^n)^(1/2)), x)","F"
2789,0,-1,59,0.000000,"\text{Not used}","int((c*x)^m*(a + b*x^n)^p,x)","\int {\left(c\,x\right)}^m\,{\left(a+b\,x^n\right)}^p \,d x","Not used",1,"int((c*x)^m*(a + b*x^n)^p, x)","F"
2790,0,-1,56,0.000000,"\text{Not used}","int((c*x)^(3*n)*(a + b*x^n)^p,x)","\int {\left(c\,x\right)}^{3\,n}\,{\left(a+b\,x^n\right)}^p \,d x","Not used",1,"int((c*x)^(3*n)*(a + b*x^n)^p, x)","F"
2791,0,-1,56,0.000000,"\text{Not used}","int((c*x)^(2*n)*(a + b*x^n)^p,x)","\int {\left(c\,x\right)}^{2\,n}\,{\left(a+b\,x^n\right)}^p \,d x","Not used",1,"int((c*x)^(2*n)*(a + b*x^n)^p, x)","F"
2792,0,-1,52,0.000000,"\text{Not used}","int((c*x)^n*(a + b*x^n)^p,x)","\int {\left(c\,x\right)}^n\,{\left(a+b\,x^n\right)}^p \,d x","Not used",1,"int((c*x)^n*(a + b*x^n)^p, x)","F"
2793,1,47,38,1.936747,"\text{Not used}","int((a + b*x^n)^p,x)","\frac{x\,{\left(a+b\,x^n\right)}^p\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{n},-p;\ \frac{1}{n}+1;\ -\frac{b\,x^n}{a}\right)}{{\left(\frac{b\,x^n}{a}+1\right)}^p}","Not used",1,"(x*(a + b*x^n)^p*hypergeom([1/n, -p], 1/n + 1, -(b*x^n)/a))/((b*x^n)/a + 1)^p","B"
2794,0,-1,53,0.000000,"\text{Not used}","int((a + b*x^n)^p/(c*x)^n,x)","\int \frac{{\left(a+b\,x^n\right)}^p}{{\left(c\,x\right)}^n} \,d x","Not used",1,"int((a + b*x^n)^p/(c*x)^n, x)","F"
2795,0,-1,56,0.000000,"\text{Not used}","int((a + b*x^n)^p/(c*x)^(2*n),x)","\int \frac{{\left(a+b\,x^n\right)}^p}{{\left(c\,x\right)}^{2\,n}} \,d x","Not used",1,"int((a + b*x^n)^p/(c*x)^(2*n), x)","F"
2796,0,-1,56,0.000000,"\text{Not used}","int((a + b*x^n)^p/(c*x)^(3*n),x)","\int \frac{{\left(a+b\,x^n\right)}^p}{{\left(c\,x\right)}^{3\,n}} \,d x","Not used",1,"int((a + b*x^n)^p/(c*x)^(3*n), x)","F"
2797,0,-1,63,0.000000,"\text{Not used}","int((a + b*x^n)^p/(c*x)^(n*p + 1),x)","\int \frac{{\left(a+b\,x^n\right)}^p}{{\left(c\,x\right)}^{n\,p+1}} \,d x","Not used",1,"int((a + b*x^n)^p/(c*x)^(n*p + 1), x)","F"
2798,0,-1,37,0.000000,"\text{Not used}","int((a + b*x^n)^p/(c*x)^(n + n*p + 1),x)","\int \frac{{\left(a+b\,x^n\right)}^p}{{\left(c\,x\right)}^{n+n\,p+1}} \,d x","Not used",1,"int((a + b*x^n)^p/(c*x)^(n + n*p + 1), x)","F"
2799,0,-1,79,0.000000,"\text{Not used}","int((a + b*x^n)^p/(c*x)^(2*n + n*p + 1),x)","\int \frac{{\left(a+b\,x^n\right)}^p}{{\left(c\,x\right)}^{2\,n+n\,p+1}} \,d x","Not used",1,"int((a + b*x^n)^p/(c*x)^(2*n + n*p + 1), x)","F"
2800,0,-1,127,0.000000,"\text{Not used}","int((a + b*x^n)^p/(c*x)^(3*n + n*p + 1),x)","\int \frac{{\left(a+b\,x^n\right)}^p}{{\left(c\,x\right)}^{3\,n+n\,p+1}} \,d x","Not used",1,"int((a + b*x^n)^p/(c*x)^(3*n + n*p + 1), x)","F"
2801,0,-1,179,0.000000,"\text{Not used}","int((a + b*x^n)^p/(c*x)^(4*n + n*p + 1),x)","\int \frac{{\left(a+b\,x^n\right)}^p}{{\left(c\,x\right)}^{4\,n+n\,p+1}} \,d x","Not used",1,"int((a + b*x^n)^p/(c*x)^(4*n + n*p + 1), x)","F"
2802,1,36,30,1.259224,"\text{Not used}","int((c*(a + b*x)^2)^(5/2),x)","\frac{\left(x\,b^2+a\,b\right)\,{\left(c\,a^2+2\,c\,a\,b\,x+c\,b^2\,x^2\right)}^{5/2}}{6\,b^2}","Not used",1,"((a*b + b^2*x)*(a^2*c + b^2*c*x^2 + 2*a*b*c*x)^(5/2))/(6*b^2)","B"
2803,1,36,28,1.197425,"\text{Not used}","int((c*(a + b*x)^2)^(3/2),x)","\frac{\left(x\,b^2+a\,b\right)\,{\left(c\,a^2+2\,c\,a\,b\,x+c\,b^2\,x^2\right)}^{3/2}}{4\,b^2}","Not used",1,"((a*b + b^2*x)*(a^2*c + b^2*c*x^2 + 2*a*b*c*x)^(3/2))/(4*b^2)","B"
2804,1,21,25,1.474115,"\text{Not used}","int((c*(a + b*x)^2)^(1/2),x)","\frac{\sqrt{c\,{\left(a+b\,x\right)}^2}\,\left(a+b\,x\right)}{2\,b}","Not used",1,"((c*(a + b*x)^2)^(1/2)*(a + b*x))/(2*b)","B"
2805,1,29,28,1.333873,"\text{Not used}","int(1/(c*(a + b*x)^2)^(1/2),x)","\frac{\ln\left(\sqrt{c}\,\left(a+b\,x\right)+\sqrt{c\,{\left(a+b\,x\right)}^2}\right)}{b\,\sqrt{c}}","Not used",1,"log(c^(1/2)*(a + b*x) + (c*(a + b*x)^2)^(1/2))/(b*c^(1/2))","B"
2806,1,26,30,1.245371,"\text{Not used}","int(1/(c*(a + b*x)^2)^(3/2),x)","-\frac{\sqrt{c\,{\left(a+b\,x\right)}^2}}{2\,b\,c^2\,{\left(a+b\,x\right)}^3}","Not used",1,"-(c*(a + b*x)^2)^(1/2)/(2*b*c^2*(a + b*x)^3)","B"
2807,1,26,30,1.277686,"\text{Not used}","int(1/(c*(a + b*x)^2)^(5/2),x)","-\frac{\sqrt{c\,{\left(a+b\,x\right)}^2}}{4\,b\,c^3\,{\left(a+b\,x\right)}^5}","Not used",1,"-(c*(a + b*x)^2)^(1/2)/(4*b*c^3*(a + b*x)^5)","B"
2808,1,13,20,0.111252,"\text{Not used}","int(((5*x + 3)^2)^(1/2),x)","\frac{\left|5\,x+3\right|\,\left(5\,x+3\right)}{10}","Not used",1,"(abs(5*x + 3)*(5*x + 3))/10","B"
2809,1,13,20,0.081252,"\text{Not used}","int(((10*x + 6)^2)^(1/2),x)","\frac{\left|10\,x+6\right|\,\left(5\,x+3\right)}{10}","Not used",1,"(abs(10*x + 6)*(5*x + 3))/10","B"
2810,1,14,26,1.379856,"\text{Not used}","int(1/((5*x + 3)^2)^(1/2),x)","\frac{\ln\left(5\,x+3\right)\,\mathrm{sign}\left(5\,x+3\right)}{5}","Not used",1,"(log(5*x + 3)*sign(5*x + 3))/5","B"
2811,1,14,26,1.256980,"\text{Not used}","int(1/((10*x + 6)^2)^(1/2),x)","\frac{\ln\left(10\,x+6\right)\,\mathrm{sign}\left(10\,x+6\right)}{10}","Not used",1,"(log(10*x + 6)*sign(10*x + 6))/10","B"
2812,1,15,28,1.359548,"\text{Not used}","int(1/(-(3*x + 2)^2)^(1/2),x)","-\frac{\ln\left(-3\,x-2\right)\,\mathrm{sign}\left(3\,x+2\right)\,1{}\mathrm{i}}{3}","Not used",1,"-(log(- 3*x - 2)*sign(3*x + 2)*1i)/3","B"
2813,1,110,30,1.390191,"\text{Not used}","int((c*(a + b*x)^3)^(5/2),x)","\sqrt{c\,{\left(a+b\,x\right)}^3}\,\left(\frac{14\,a^6\,c^2\,x}{17}+\frac{2\,a^7\,c^2}{17\,b}+\frac{2\,b^6\,c^2\,x^7}{17}+\frac{42\,a^5\,b\,c^2\,x^2}{17}+\frac{14\,a\,b^5\,c^2\,x^6}{17}+\frac{70\,a^4\,b^2\,c^2\,x^3}{17}+\frac{70\,a^3\,b^3\,c^2\,x^4}{17}+\frac{42\,a^2\,b^4\,c^2\,x^5}{17}\right)","Not used",1,"(c*(a + b*x)^3)^(1/2)*((14*a^6*c^2*x)/17 + (2*a^7*c^2)/(17*b) + (2*b^6*c^2*x^7)/17 + (42*a^5*b*c^2*x^2)/17 + (14*a*b^5*c^2*x^6)/17 + (70*a^4*b^2*c^2*x^3)/17 + (70*a^3*b^3*c^2*x^4)/17 + (42*a^2*b^4*c^2*x^5)/17)","B"
2814,1,58,28,1.245679,"\text{Not used}","int((c*(a + b*x)^3)^(3/2),x)","\sqrt{c\,{\left(a+b\,x\right)}^3}\,\left(\frac{2\,a^4\,c}{11\,b}+\frac{2\,b^3\,c\,x^4}{11}+\frac{8\,a^3\,c\,x}{11}+\frac{12\,a^2\,b\,c\,x^2}{11}+\frac{8\,a\,b^2\,c\,x^3}{11}\right)","Not used",1,"(c*(a + b*x)^3)^(1/2)*((2*a^4*c)/(11*b) + (2*b^3*c*x^4)/11 + (8*a^3*c*x)/11 + (12*a^2*b*c*x^2)/11 + (8*a*b^2*c*x^3)/11)","B"
2815,1,22,25,1.153823,"\text{Not used}","int((c*(a + b*x)^3)^(1/2),x)","\sqrt{c\,{\left(a+b\,x\right)}^3}\,\left(\frac{2\,x}{5}+\frac{2\,a}{5\,b}\right)","Not used",1,"(c*(a + b*x)^3)^(1/2)*((2*x)/5 + (2*a)/(5*b))","B"
2816,1,26,23,1.174879,"\text{Not used}","int(1/(c*(a + b*x)^3)^(1/2),x)","-\frac{2\,\sqrt{c\,{\left(a+b\,x\right)}^3}}{b\,c\,{\left(a+b\,x\right)}^2}","Not used",1,"-(2*(c*(a + b*x)^3)^(1/2))/(b*c*(a + b*x)^2)","B"
2817,1,26,30,1.241172,"\text{Not used}","int(1/(c*(a + b*x)^3)^(3/2),x)","-\frac{2\,\sqrt{c\,{\left(a+b\,x\right)}^3}}{7\,b\,c^2\,{\left(a+b\,x\right)}^5}","Not used",1,"-(2*(c*(a + b*x)^3)^(1/2))/(7*b*c^2*(a + b*x)^5)","B"
2818,1,26,30,1.320402,"\text{Not used}","int(1/(c*(a + b*x)^3)^(5/2),x)","-\frac{2\,\sqrt{c\,{\left(a+b\,x\right)}^3}}{13\,b\,c^3\,{\left(a+b\,x\right)}^8}","Not used",1,"-(2*(c*(a + b*x)^3)^(1/2))/(13*b*c^3*(a + b*x)^8)","B"
2819,1,17,30,1.183955,"\text{Not used}","int((c/(a + b*x))^(5/2),x)","-\frac{2\,c\,{\left(\frac{c}{a+b\,x}\right)}^{3/2}}{3\,b}","Not used",1,"-(2*c*(c/(a + b*x))^(3/2))/(3*b)","B"
2820,1,17,19,1.138551,"\text{Not used}","int((c/(a + b*x))^(3/2),x)","-\frac{2\,c\,\sqrt{\frac{c}{a+b\,x}}}{b}","Not used",1,"-(2*c*(c/(a + b*x))^(1/2))/b","B"
2821,1,22,23,1.161104,"\text{Not used}","int((c/(a + b*x))^(1/2),x)","\sqrt{\frac{c}{a+b\,x}}\,\left(2\,x+\frac{2\,a}{b}\right)","Not used",1,"(c/(a + b*x))^(1/2)*(2*x + (2*a)/b)","B"
2822,1,40,25,1.190993,"\text{Not used}","int(1/(c/(a + b*x))^(1/2),x)","\sqrt{\frac{c}{a+b\,x}}\,\left(\frac{2\,b\,x^2}{3\,c}+\frac{2\,a^2}{3\,b\,c}+\frac{4\,a\,x}{3\,c}\right)","Not used",1,"(c/(a + b*x))^(1/2)*((2*b*x^2)/(3*c) + (2*a^2)/(3*b*c) + (4*a*x)/(3*c))","B"
2823,1,54,30,1.228283,"\text{Not used}","int(1/(c/(a + b*x))^(3/2),x)","\sqrt{\frac{c}{a+b\,x}}\,\left(\frac{6\,a^2\,x}{5\,c^2}+\frac{2\,a^3}{5\,b\,c^2}+\frac{2\,b^2\,x^3}{5\,c^2}+\frac{6\,a\,b\,x^2}{5\,c^2}\right)","Not used",1,"(c/(a + b*x))^(1/2)*((6*a^2*x)/(5*c^2) + (2*a^3)/(5*b*c^2) + (2*b^2*x^3)/(5*c^2) + (6*a*b*x^2)/(5*c^2))","B"
2824,1,26,30,1.282065,"\text{Not used}","int(1/(c/(a + b*x))^(5/2),x)","\frac{2\,\sqrt{\frac{c}{a+b\,x}}\,{\left(a+b\,x\right)}^4}{7\,b\,c^3}","Not used",1,"(2*(c/(a + b*x))^(1/2)*(a + b*x)^4)/(7*b*c^3)","B"
2825,1,26,30,1.226869,"\text{Not used}","int((c/(a + b*x)^2)^(5/2),x)","-\frac{c^2\,\sqrt{\frac{c}{{\left(a+b\,x\right)}^2}}}{4\,b\,{\left(a+b\,x\right)}^3}","Not used",1,"-(c^2*(c/(a + b*x)^2)^(1/2))/(4*b*(a + b*x)^3)","B"
2826,1,24,28,1.166391,"\text{Not used}","int((c/(a + b*x)^2)^(3/2),x)","-\frac{c\,\sqrt{\frac{c}{{\left(a+b\,x\right)}^2}}}{2\,b\,\left(a+b\,x\right)}","Not used",1,"-(c*(c/(a + b*x)^2)^(1/2))/(2*b*(a + b*x))","B"
2827,0,-1,28,0.000000,"\text{Not used}","int((c/(a + b*x)^2)^(1/2),x)","\int \sqrt{\frac{c}{{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((c/(a + b*x)^2)^(1/2), x)","F"
2828,1,42,25,1.220237,"\text{Not used}","int(1/(c/(a + b*x)^2)^(1/2),x)","\sqrt{\frac{c}{{\left(a+b\,x\right)}^2}}\,\left(\frac{a^2\,x}{c}+\frac{b^2\,x^3}{2\,c}+\frac{3\,a\,b\,x^2}{2\,c}\right)","Not used",1,"(c/(a + b*x)^2)^(1/2)*((a^2*x)/c + (b^2*x^3)/(2*c) + (3*a*b*x^2)/(2*c))","B"
2829,1,70,30,1.292406,"\text{Not used}","int(1/(c/(a + b*x)^2)^(3/2),x)","\sqrt{\frac{c}{{\left(a+b\,x\right)}^2}}\,\left(\frac{a^4\,x}{c^2}+\frac{b^4\,x^5}{4\,c^2}+\frac{5\,a^3\,b\,x^2}{2\,c^2}+\frac{5\,a\,b^3\,x^4}{4\,c^2}+\frac{5\,a^2\,b^2\,x^3}{2\,c^2}\right)","Not used",1,"(c/(a + b*x)^2)^(1/2)*((a^4*x)/c^2 + (b^4*x^5)/(4*c^2) + (5*a^3*b*x^2)/(2*c^2) + (5*a*b^3*x^4)/(4*c^2) + (5*a^2*b^2*x^3)/(2*c^2))","B"
2830,1,98,30,1.331732,"\text{Not used}","int(1/(c/(a + b*x)^2)^(5/2),x)","\sqrt{\frac{c}{{\left(a+b\,x\right)}^2}}\,\left(\frac{a^6\,x}{c^3}+\frac{b^6\,x^7}{6\,c^3}+\frac{7\,a^5\,b\,x^2}{2\,c^3}+\frac{7\,a\,b^5\,x^6}{6\,c^3}+\frac{35\,a^4\,b^2\,x^3}{6\,c^3}+\frac{35\,a^3\,b^3\,x^4}{6\,c^3}+\frac{7\,a^2\,b^4\,x^5}{2\,c^3}\right)","Not used",1,"(c/(a + b*x)^2)^(1/2)*((a^6*x)/c^3 + (b^6*x^7)/(6*c^3) + (7*a^5*b*x^2)/(2*c^3) + (7*a*b^5*x^6)/(6*c^3) + (35*a^4*b^2*x^3)/(6*c^3) + (35*a^3*b^3*x^4)/(6*c^3) + (7*a^2*b^4*x^5)/(2*c^3))","B"
2831,1,55,30,1.243318,"\text{Not used}","int((c/(a + b*x)^3)^(5/2),x)","-\frac{2\,b^2\,c^2\,\sqrt{\frac{c}{{\left(a+b\,x\right)}^3}}\,\left(x^3+\frac{a^3}{b^3}+\frac{3\,a\,x^2}{b}+\frac{3\,a^2\,x}{b^2}\right)}{13\,{\left(a+b\,x\right)}^8}","Not used",1,"-(2*b^2*c^2*(c/(a + b*x)^3)^(1/2)*(x^3 + a^3/b^3 + (3*a*x^2)/b + (3*a^2*x)/b^2))/(13*(a + b*x)^8)","B"
2832,1,24,28,1.198928,"\text{Not used}","int((c/(a + b*x)^3)^(3/2),x)","-\frac{2\,c\,\sqrt{\frac{c}{{\left(a+b\,x\right)}^3}}}{7\,b\,{\left(a+b\,x\right)}^2}","Not used",1,"-(2*c*(c/(a + b*x)^3)^(1/2))/(7*b*(a + b*x)^2)","B"
2833,1,52,23,1.161754,"\text{Not used}","int((c/(a + b*x)^3)^(1/2),x)","-\frac{2\,b^2\,\sqrt{\frac{c}{{\left(a+b\,x\right)}^3}}\,\left(x^3+\frac{a^3}{b^3}+\frac{3\,a\,x^2}{b}+\frac{3\,a^2\,x}{b^2}\right)}{{\left(a+b\,x\right)}^2}","Not used",1,"-(2*b^2*(c/(a + b*x)^3)^(1/2)*(x^3 + a^3/b^3 + (3*a*x^2)/b + (3*a^2*x)/b^2))/(a + b*x)^2","B"
2834,1,26,25,1.246000,"\text{Not used}","int(1/(c/(a + b*x)^3)^(1/2),x)","\frac{2\,\sqrt{\frac{c}{{\left(a+b\,x\right)}^3}}\,{\left(a+b\,x\right)}^4}{5\,b\,c}","Not used",1,"(2*(c/(a + b*x)^3)^(1/2)*(a + b*x)^4)/(5*b*c)","B"
2835,1,110,30,1.377446,"\text{Not used}","int(1/(c/(a + b*x)^3)^(3/2),x)","\sqrt{\frac{c}{{\left(a+b\,x\right)}^3}}\,\left(\frac{14\,a^6\,x}{11\,c^2}+\frac{2\,a^7}{11\,b\,c^2}+\frac{2\,b^6\,x^7}{11\,c^2}+\frac{42\,a^5\,b\,x^2}{11\,c^2}+\frac{14\,a\,b^5\,x^6}{11\,c^2}+\frac{70\,a^4\,b^2\,x^3}{11\,c^2}+\frac{70\,a^3\,b^3\,x^4}{11\,c^2}+\frac{42\,a^2\,b^4\,x^5}{11\,c^2}\right)","Not used",1,"(c/(a + b*x)^3)^(1/2)*((14*a^6*x)/(11*c^2) + (2*a^7)/(11*b*c^2) + (2*b^6*x^7)/(11*c^2) + (42*a^5*b*x^2)/(11*c^2) + (14*a*b^5*x^6)/(11*c^2) + (70*a^4*b^2*x^3)/(11*c^2) + (70*a^3*b^3*x^4)/(11*c^2) + (42*a^2*b^4*x^5)/(11*c^2))","B"
2836,1,152,30,1.489187,"\text{Not used}","int(1/(c/(a + b*x)^3)^(5/2),x)","\sqrt{\frac{c}{{\left(a+b\,x\right)}^3}}\,\left(\frac{20\,a^9\,x}{17\,c^3}+\frac{2\,a^{10}}{17\,b\,c^3}+\frac{2\,b^9\,x^{10}}{17\,c^3}+\frac{90\,a^8\,b\,x^2}{17\,c^3}+\frac{20\,a\,b^8\,x^9}{17\,c^3}+\frac{240\,a^7\,b^2\,x^3}{17\,c^3}+\frac{420\,a^6\,b^3\,x^4}{17\,c^3}+\frac{504\,a^5\,b^4\,x^5}{17\,c^3}+\frac{420\,a^4\,b^5\,x^6}{17\,c^3}+\frac{240\,a^3\,b^6\,x^7}{17\,c^3}+\frac{90\,a^2\,b^7\,x^8}{17\,c^3}\right)","Not used",1,"(c/(a + b*x)^3)^(1/2)*((20*a^9*x)/(17*c^3) + (2*a^10)/(17*b*c^3) + (2*b^9*x^10)/(17*c^3) + (90*a^8*b*x^2)/(17*c^3) + (20*a*b^8*x^9)/(17*c^3) + (240*a^7*b^2*x^3)/(17*c^3) + (420*a^6*b^3*x^4)/(17*c^3) + (504*a^5*b^4*x^5)/(17*c^3) + (420*a^4*b^5*x^6)/(17*c^3) + (240*a^3*b^6*x^7)/(17*c^3) + (90*a^2*b^7*x^8)/(17*c^3))","B"
2837,0,-1,27,0.000000,"\text{Not used}","int((c*(a + b*x)^(3/2))^(2/3),x)","\int {\left(c\,{\left(a+b\,x\right)}^{3/2}\right)}^{2/3} \,d x","Not used",1,"int((c*(a + b*x)^(3/2))^(2/3), x)","F"
2838,0,-1,32,0.000000,"\text{Not used}","int((c*(a + b*x)^(2/3))^(3/2),x)","\int {\left(c\,{\left(a+b\,x\right)}^{2/3}\right)}^{3/2} \,d x","Not used",1,"int((c*(a + b*x)^(2/3))^(3/2), x)","F"
2839,1,31,27,1.253728,"\text{Not used}","int(1/(c/(a + b*x)^(3/2))^(2/3),x)","\frac{x\,{\left(\frac{c}{{\left(a+b\,x\right)}^{3/2}}\right)}^{1/3}\,\left(2\,a+b\,x\right)\,\sqrt{a+b\,x}}{2\,c}","Not used",1,"(x*(c/(a + b*x)^(3/2))^(1/3)*(2*a + b*x)*(a + b*x)^(1/2))/(2*c)","B"
2840,1,42,34,1.256299,"\text{Not used}","int(1/(c/(a + b*x)^(2/3))^(3/2),x)","\sqrt{\frac{c}{{\left(a+b\,x\right)}^{2/3}}}\,\left(\frac{a\,x\,{\left(a+b\,x\right)}^{1/3}}{c^2}+\frac{b\,x^2\,{\left(a+b\,x\right)}^{1/3}}{2\,c^2}\right)","Not used",1,"(c/(a + b*x)^(2/3))^(1/2)*((a*x*(a + b*x)^(1/3))/c^2 + (b*x^2*(a + b*x)^(1/3))/(2*c^2))","B"
2841,1,86,31,0.055341,"\text{Not used}","int((a + b*(c + d*x)^2)*(c + d*x)^3,x)","x\,\left(b\,c^5+a\,c^3\right)+\frac{d^3\,x^4\,\left(10\,b\,c^2+a\right)}{4}+\frac{b\,d^5\,x^6}{6}+\frac{c^2\,d\,x^2\,\left(5\,b\,c^2+3\,a\right)}{2}+\frac{c\,d^2\,x^3\,\left(10\,b\,c^2+3\,a\right)}{3}+b\,c\,d^4\,x^5","Not used",1,"x*(a*c^3 + b*c^5) + (d^3*x^4*(a + 10*b*c^2))/4 + (b*d^5*x^6)/6 + (c^2*d*x^2*(3*a + 5*b*c^2))/2 + (c*d^2*x^3*(3*a + 10*b*c^2))/3 + b*c*d^4*x^5","B"
2842,1,162,51,1.201316,"\text{Not used}","int((a + b*(c + d*x)^2)^2*(c + d*x)^3,x)","c^3\,x\,{\left(b\,c^2+a\right)}^2+\frac{b^2\,d^7\,x^8}{8}+\frac{d^3\,x^4\,\left(a^2+20\,a\,b\,c^2+35\,b^2\,c^4\right)}{4}+\frac{b\,d^5\,x^6\,\left(21\,b\,c^2+2\,a\right)}{6}+b^2\,c\,d^6\,x^7+\frac{c^2\,d\,x^2\,\left(3\,a^2+10\,a\,b\,c^2+7\,b^2\,c^4\right)}{2}+\frac{c\,d^2\,x^3\,\left(3\,a^2+20\,a\,b\,c^2+21\,b^2\,c^4\right)}{3}+b\,c\,d^4\,x^5\,\left(7\,b\,c^2+2\,a\right)","Not used",1,"c^3*x*(a + b*c^2)^2 + (b^2*d^7*x^8)/8 + (d^3*x^4*(a^2 + 35*b^2*c^4 + 20*a*b*c^2))/4 + (b*d^5*x^6*(2*a + 21*b*c^2))/6 + b^2*c*d^6*x^7 + (c^2*d*x^2*(3*a^2 + 7*b^2*c^4 + 10*a*b*c^2))/2 + (c*d^2*x^3*(3*a^2 + 21*b^2*c^4 + 20*a*b*c^2))/3 + b*c*d^4*x^5*(2*a + 7*b*c^2)","B"
2843,1,237,48,1.225612,"\text{Not used}","int((a + b*(c + d*x)^2)^3*(c + d*x)^3,x)","c^3\,x\,{\left(b\,c^2+a\right)}^3+\frac{d^3\,x^4\,\left(a^3+30\,a^2\,b\,c^2+105\,a\,b^2\,c^4+84\,b^3\,c^6\right)}{4}+\frac{b^3\,d^9\,x^{10}}{10}+\frac{3\,b^2\,d^7\,x^8\,\left(12\,b\,c^2+a\right)}{8}+b^3\,c\,d^8\,x^9+\frac{b\,d^5\,x^6\,\left(a^2+21\,a\,b\,c^2+42\,b^2\,c^4\right)}{2}+c\,d^2\,x^3\,\left(a^3+10\,a^2\,b\,c^2+21\,a\,b^2\,c^4+12\,b^3\,c^6\right)+\frac{3\,b\,c\,d^4\,x^5\,\left(5\,a^2+35\,a\,b\,c^2+42\,b^2\,c^4\right)}{5}+\frac{3\,c^2\,d\,x^2\,{\left(b\,c^2+a\right)}^2\,\left(3\,b\,c^2+a\right)}{2}+3\,b^2\,c\,d^6\,x^7\,\left(4\,b\,c^2+a\right)","Not used",1,"c^3*x*(a + b*c^2)^3 + (d^3*x^4*(a^3 + 84*b^3*c^6 + 30*a^2*b*c^2 + 105*a*b^2*c^4))/4 + (b^3*d^9*x^10)/10 + (3*b^2*d^7*x^8*(a + 12*b*c^2))/8 + b^3*c*d^8*x^9 + (b*d^5*x^6*(a^2 + 42*b^2*c^4 + 21*a*b*c^2))/2 + c*d^2*x^3*(a^3 + 12*b^3*c^6 + 10*a^2*b*c^2 + 21*a*b^2*c^4) + (3*b*c*d^4*x^5*(5*a^2 + 42*b^2*c^4 + 35*a*b*c^2))/5 + (3*c^2*d*x^2*(a + b*c^2)^2*(a + 3*b*c^2))/2 + 3*b^2*c*d^6*x^7*(a + 4*b*c^2)","B"
2844,1,10,12,0.056085,"\text{Not used}","int((x + 2)/((x + 2)^2 + 1),x)","\frac{\ln\left({\left(x+2\right)}^2+1\right)}{2}","Not used",1,"log((x + 2)^2 + 1)/2","B"
2845,1,13,13,1.138448,"\text{Not used}","int((x + 2)/((x + 2)^2 + 1)^2,x)","-\frac{1}{2\,\left({\left(x+2\right)}^2+1\right)}","Not used",1,"-1/(2*((x + 2)^2 + 1))","B"
2846,1,11,13,1.143090,"\text{Not used}","int((x + 2)/((x + 2)^2 + 1)^3,x)","-\frac{1}{4\,{\left({\left(x+2\right)}^2+1\right)}^2}","Not used",1,"-1/(4*((x + 2)^2 + 1)^2)","B"
2847,1,401,93,1.568301,"\text{Not used}","int((a + b*(c + d*x)^2)^p*(c + d*x)^5,x)","{\left(a+b\,{\left(c+d\,x\right)}^2\right)}^p\,\left(\frac{d^5\,x^6\,\left(p^2+3\,p+2\right)}{2\,\left(p^3+6\,p^2+11\,p+6\right)}+\frac{\left(b\,c^2+a\right)\,\left(2\,a^2-2\,a\,b\,c^2\,p-2\,a\,b\,c^2+b^2\,c^4\,p^2+3\,b^2\,c^4\,p+2\,b^2\,c^4\right)}{2\,b^3\,d\,\left(p^3+6\,p^2+11\,p+6\right)}+\frac{c\,x\,\left(-2\,a^2\,p+2\,a\,b\,c^2\,p^2+2\,a\,b\,c^2\,p+3\,b^2\,c^4\,p^2+9\,b^2\,c^4\,p+6\,b^2\,c^4\right)}{b^2\,\left(p^3+6\,p^2+11\,p+6\right)}+\frac{d\,x^2\,\left(-2\,a^2\,p+6\,a\,b\,c^2\,p^2+6\,a\,b\,c^2\,p+15\,b^2\,c^4\,p^2+45\,b^2\,c^4\,p+30\,b^2\,c^4\right)}{2\,b^2\,\left(p^3+6\,p^2+11\,p+6\right)}+\frac{3\,c\,d^4\,x^5\,\left(p^2+3\,p+2\right)}{p^3+6\,p^2+11\,p+6}+\frac{d^3\,x^4\,\left(p+1\right)\,\left(a\,p+30\,b\,c^2+15\,b\,c^2\,p\right)}{2\,b\,\left(p^3+6\,p^2+11\,p+6\right)}+\frac{2\,c\,d^2\,x^3\,\left(p+1\right)\,\left(a\,p+10\,b\,c^2+5\,b\,c^2\,p\right)}{b\,\left(p^3+6\,p^2+11\,p+6\right)}\right)","Not used",1,"(a + b*(c + d*x)^2)^p*((d^5*x^6*(3*p + p^2 + 2))/(2*(11*p + 6*p^2 + p^3 + 6)) + ((a + b*c^2)*(2*a^2 + 2*b^2*c^4 + 3*b^2*c^4*p + b^2*c^4*p^2 - 2*a*b*c^2 - 2*a*b*c^2*p))/(2*b^3*d*(11*p + 6*p^2 + p^3 + 6)) + (c*x*(6*b^2*c^4 - 2*a^2*p + 9*b^2*c^4*p + 3*b^2*c^4*p^2 + 2*a*b*c^2*p + 2*a*b*c^2*p^2))/(b^2*(11*p + 6*p^2 + p^3 + 6)) + (d*x^2*(30*b^2*c^4 - 2*a^2*p + 45*b^2*c^4*p + 15*b^2*c^4*p^2 + 6*a*b*c^2*p + 6*a*b*c^2*p^2))/(2*b^2*(11*p + 6*p^2 + p^3 + 6)) + (3*c*d^4*x^5*(3*p + p^2 + 2))/(11*p + 6*p^2 + p^3 + 6) + (d^3*x^4*(p + 1)*(a*p + 30*b*c^2 + 15*b*c^2*p))/(2*b*(11*p + 6*p^2 + p^3 + 6)) + (2*c*d^2*x^3*(p + 1)*(a*p + 10*b*c^2 + 5*b*c^2*p))/(b*(11*p + 6*p^2 + p^3 + 6)))","B"
2848,0,-1,55,0.000000,"\text{Not used}","int((a + b*(c + d*x)^2)^p*(c + d*x)^4,x)","\int {\left(a+b\,{\left(c+d\,x\right)}^2\right)}^p\,{\left(c+d\,x\right)}^4 \,d x","Not used",1,"int((a + b*(c + d*x)^2)^p*(c + d*x)^4, x)","F"
2849,1,168,62,1.335702,"\text{Not used}","int((a + b*(c + d*x)^2)^p*(c + d*x)^3,x)","{\left(a+b\,{\left(c+d\,x\right)}^2\right)}^p\,\left(\frac{d^3\,x^4\,\left(p+1\right)}{2\,\left(p^2+3\,p+2\right)}+\frac{\left(b\,c^2+a\right)\,\left(b\,c^2-a+b\,c^2\,p\right)}{2\,b^2\,d\,\left(p^2+3\,p+2\right)}+\frac{c\,x\,\left(a\,p+2\,b\,c^2+2\,b\,c^2\,p\right)}{b\,\left(p^2+3\,p+2\right)}+\frac{2\,c\,d^2\,x^3\,\left(p+1\right)}{p^2+3\,p+2}+\frac{d\,x^2\,\left(a\,p+6\,b\,c^2+6\,b\,c^2\,p\right)}{2\,b\,\left(p^2+3\,p+2\right)}\right)","Not used",1,"(a + b*(c + d*x)^2)^p*((d^3*x^4*(p + 1))/(2*(3*p + p^2 + 2)) + ((a + b*c^2)*(b*c^2 - a + b*c^2*p))/(2*b^2*d*(3*p + p^2 + 2)) + (c*x*(a*p + 2*b*c^2 + 2*b*c^2*p))/(b*(3*p + p^2 + 2)) + (2*c*d^2*x^3*(p + 1))/(3*p + p^2 + 2) + (d*x^2*(a*p + 6*b*c^2 + 6*b*c^2*p))/(2*b*(3*p + p^2 + 2)))","B"
2850,0,-1,55,0.000000,"\text{Not used}","int((a + b*(c + d*x)^2)^p*(c + d*x)^2,x)","\int {\left(a+b\,{\left(c+d\,x\right)}^2\right)}^p\,{\left(c+d\,x\right)}^2 \,d x","Not used",1,"int((a + b*(c + d*x)^2)^p*(c + d*x)^2, x)","F"
2851,1,55,30,1.205134,"\text{Not used}","int((a + b*(c + d*x)^2)^p*(c + d*x),x)","{\left(a+b\,{\left(c+d\,x\right)}^2\right)}^p\,\left(\frac{c\,x}{p+1}+\frac{d\,x^2}{2\,\left(p+1\right)}+\frac{b\,c^2+a}{2\,b\,d\,\left(p+1\right)}\right)","Not used",1,"(a + b*(c + d*x)^2)^p*((c*x)/(p + 1) + (d*x^2)/(2*(p + 1)) + (a + b*c^2)/(2*b*d*(p + 1)))","B"
2852,0,-1,52,0.000000,"\text{Not used}","int((a + b*(c + d*x)^2)^p/(c + d*x),x)","\int \frac{{\left(a+b\,{\left(c+d\,x\right)}^2\right)}^p}{c+d\,x} \,d x","Not used",1,"int((a + b*(c + d*x)^2)^p/(c + d*x), x)","F"
2853,1,93,31,0.051948,"\text{Not used}","int((a + b*(c + d*x)^3)*(c + d*x)^3,x)","x\,\left(b\,c^6+a\,c^3\right)+\frac{d^3\,x^4\,\left(20\,b\,c^3+a\right)}{4}+\frac{b\,d^6\,x^7}{7}+3\,b\,c^2\,d^4\,x^5+\frac{3\,c^2\,d\,x^2\,\left(2\,b\,c^3+a\right)}{2}+c\,d^2\,x^3\,\left(5\,b\,c^3+a\right)+b\,c\,d^5\,x^6","Not used",1,"x*(a*c^3 + b*c^6) + (d^3*x^4*(a + 20*b*c^3))/4 + (b*d^6*x^7)/7 + 3*b*c^2*d^4*x^5 + (3*c^2*d*x^2*(a + 2*b*c^3))/2 + c*d^2*x^3*(a + 5*b*c^3) + b*c*d^5*x^6","B"
2854,1,191,51,1.229544,"\text{Not used}","int((a + b*(c + d*x)^3)^2*(c + d*x)^3,x)","c^3\,x\,{\left(b\,c^3+a\right)}^2+\frac{b^2\,d^9\,x^{10}}{10}+\frac{d^3\,x^4\,\left(a^2+40\,a\,b\,c^3+84\,b^2\,c^6\right)}{4}+b^2\,c\,d^8\,x^9+\frac{3\,c^2\,d\,x^2\,\left(a^2+4\,a\,b\,c^3+3\,b^2\,c^6\right)}{2}+c\,d^2\,x^3\,\left(a^2+10\,a\,b\,c^3+12\,b^2\,c^6\right)+\frac{9\,b^2\,c^2\,d^7\,x^8}{2}+\frac{2\,b\,d^6\,x^7\,\left(42\,b\,c^3+a\right)}{7}+b\,c\,d^5\,x^6\,\left(21\,b\,c^3+2\,a\right)+\frac{6\,b\,c^2\,d^4\,x^5\,\left(21\,b\,c^3+5\,a\right)}{5}","Not used",1,"c^3*x*(a + b*c^3)^2 + (b^2*d^9*x^10)/10 + (d^3*x^4*(a^2 + 84*b^2*c^6 + 40*a*b*c^3))/4 + b^2*c*d^8*x^9 + (3*c^2*d*x^2*(a^2 + 3*b^2*c^6 + 4*a*b*c^3))/2 + c*d^2*x^3*(a^2 + 12*b^2*c^6 + 10*a*b*c^3) + (9*b^2*c^2*d^7*x^8)/2 + (2*b*d^6*x^7*(a + 42*b*c^3))/7 + b*c*d^5*x^6*(2*a + 21*b*c^3) + (6*b*c^2*d^4*x^5*(5*a + 21*b*c^3))/5","B"
2855,1,309,71,1.279106,"\text{Not used}","int((a + b*(c + d*x)^3)^3*(c + d*x)^3,x)","c^3\,x\,{\left(b\,c^3+a\right)}^3+\frac{d^3\,x^4\,\left(a^3+60\,a^2\,b\,c^3+252\,a\,b^2\,c^6+220\,b^3\,c^9\right)}{4}+\frac{b^3\,d^{12}\,x^{13}}{13}+b^3\,c\,d^{11}\,x^{12}+\frac{3\,b\,d^6\,x^7\,\left(a^2+84\,a\,b\,c^3+308\,b^2\,c^6\right)}{7}+\frac{b^2\,d^9\,x^{10}\,\left(220\,b\,c^3+3\,a\right)}{10}+6\,b^3\,c^2\,d^{10}\,x^{11}+c\,d^2\,x^3\,\left(a^3+15\,a^2\,b\,c^3+36\,a\,b^2\,c^6+22\,b^3\,c^9\right)+\frac{9\,b^2\,c^2\,d^7\,x^8\,\left(22\,b\,c^3+3\,a\right)}{2}+\frac{3\,c^2\,d\,x^2\,{\left(b\,c^3+a\right)}^2\,\left(4\,b\,c^3+a\right)}{2}+\frac{9\,b\,c^2\,d^4\,x^5\,\left(5\,a^2+42\,a\,b\,c^3+55\,b^2\,c^6\right)}{5}+3\,b\,c\,d^5\,x^6\,\left(a^2+21\,a\,b\,c^3+44\,b^2\,c^6\right)+b^2\,c\,d^8\,x^9\,\left(55\,b\,c^3+3\,a\right)","Not used",1,"c^3*x*(a + b*c^3)^3 + (d^3*x^4*(a^3 + 220*b^3*c^9 + 60*a^2*b*c^3 + 252*a*b^2*c^6))/4 + (b^3*d^12*x^13)/13 + b^3*c*d^11*x^12 + (3*b*d^6*x^7*(a^2 + 308*b^2*c^6 + 84*a*b*c^3))/7 + (b^2*d^9*x^10*(3*a + 220*b*c^3))/10 + 6*b^3*c^2*d^10*x^11 + c*d^2*x^3*(a^3 + 22*b^3*c^9 + 15*a^2*b*c^3 + 36*a*b^2*c^6) + (9*b^2*c^2*d^7*x^8*(3*a + 22*b*c^3))/2 + (3*c^2*d*x^2*(a + b*c^3)^2*(a + 4*b*c^3))/2 + (9*b*c^2*d^4*x^5*(5*a^2 + 55*b^2*c^6 + 42*a*b*c^3))/5 + 3*b*c*d^5*x^6*(a^2 + 44*b^2*c^6 + 21*a*b*c^3) + b^2*c*d^8*x^9*(3*a + 55*b*c^3)","B"
2856,1,113,37,1.187909,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*(c + d*x)^3),x)","\frac{d^3\,e^3\,x^4\,\left(20\,b\,c^3+a\right)}{4}+\frac{b\,d^6\,e^3\,x^7}{7}+c^3\,e^3\,x\,\left(b\,c^3+a\right)+\frac{3\,c^2\,d\,e^3\,x^2\,\left(2\,b\,c^3+a\right)}{2}+c\,d^2\,e^3\,x^3\,\left(5\,b\,c^3+a\right)+b\,c\,d^5\,e^3\,x^6+3\,b\,c^2\,d^4\,e^3\,x^5","Not used",1,"(d^3*e^3*x^4*(a + 20*b*c^3))/4 + (b*d^6*e^3*x^7)/7 + c^3*e^3*x*(a + b*c^3) + (3*c^2*d*e^3*x^2*(a + 2*b*c^3))/2 + c*d^2*e^3*x^3*(a + 5*b*c^3) + b*c*d^5*e^3*x^6 + 3*b*c^2*d^4*e^3*x^5","B"
2857,1,221,60,1.241677,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*(c + d*x)^3)^2,x)","c^3\,e^3\,x\,{\left(b\,c^3+a\right)}^2+\frac{b^2\,d^9\,e^3\,x^{10}}{10}+\frac{d^3\,e^3\,x^4\,\left(a^2+40\,a\,b\,c^3+84\,b^2\,c^6\right)}{4}+\frac{3\,c^2\,d\,e^3\,x^2\,\left(a^2+4\,a\,b\,c^3+3\,b^2\,c^6\right)}{2}+c\,d^2\,e^3\,x^3\,\left(a^2+10\,a\,b\,c^3+12\,b^2\,c^6\right)+\frac{9\,b^2\,c^2\,d^7\,e^3\,x^8}{2}+\frac{2\,b\,d^6\,e^3\,x^7\,\left(42\,b\,c^3+a\right)}{7}+b^2\,c\,d^8\,e^3\,x^9+b\,c\,d^5\,e^3\,x^6\,\left(21\,b\,c^3+2\,a\right)+\frac{6\,b\,c^2\,d^4\,e^3\,x^5\,\left(21\,b\,c^3+5\,a\right)}{5}","Not used",1,"c^3*e^3*x*(a + b*c^3)^2 + (b^2*d^9*e^3*x^10)/10 + (d^3*e^3*x^4*(a^2 + 84*b^2*c^6 + 40*a*b*c^3))/4 + (3*c^2*d*e^3*x^2*(a^2 + 3*b^2*c^6 + 4*a*b*c^3))/2 + c*d^2*e^3*x^3*(a^2 + 12*b^2*c^6 + 10*a*b*c^3) + (9*b^2*c^2*d^7*e^3*x^8)/2 + (2*b*d^6*e^3*x^7*(a + 42*b*c^3))/7 + b^2*c*d^8*e^3*x^9 + b*c*d^5*e^3*x^6*(2*a + 21*b*c^3) + (6*b*c^2*d^4*e^3*x^5*(5*a + 21*b*c^3))/5","B"
2858,1,348,83,1.246286,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*(c + d*x)^3)^3,x)","c^3\,e^3\,x\,{\left(b\,c^3+a\right)}^3+\frac{d^3\,e^3\,x^4\,\left(a^3+60\,a^2\,b\,c^3+252\,a\,b^2\,c^6+220\,b^3\,c^9\right)}{4}+\frac{b^3\,d^{12}\,e^3\,x^{13}}{13}+\frac{3\,b\,d^6\,e^3\,x^7\,\left(a^2+84\,a\,b\,c^3+308\,b^2\,c^6\right)}{7}+\frac{b^2\,d^9\,e^3\,x^{10}\,\left(220\,b\,c^3+3\,a\right)}{10}+6\,b^3\,c^2\,d^{10}\,e^3\,x^{11}+c\,d^2\,e^3\,x^3\,\left(a^3+15\,a^2\,b\,c^3+36\,a\,b^2\,c^6+22\,b^3\,c^9\right)+b^3\,c\,d^{11}\,e^3\,x^{12}+\frac{3\,c^2\,d\,e^3\,x^2\,{\left(b\,c^3+a\right)}^2\,\left(4\,b\,c^3+a\right)}{2}+\frac{9\,b\,c^2\,d^4\,e^3\,x^5\,\left(5\,a^2+42\,a\,b\,c^3+55\,b^2\,c^6\right)}{5}+3\,b\,c\,d^5\,e^3\,x^6\,\left(a^2+21\,a\,b\,c^3+44\,b^2\,c^6\right)+b^2\,c\,d^8\,e^3\,x^9\,\left(55\,b\,c^3+3\,a\right)+\frac{9\,b^2\,c^2\,d^7\,e^3\,x^8\,\left(22\,b\,c^3+3\,a\right)}{2}","Not used",1,"c^3*e^3*x*(a + b*c^3)^3 + (d^3*e^3*x^4*(a^3 + 220*b^3*c^9 + 60*a^2*b*c^3 + 252*a*b^2*c^6))/4 + (b^3*d^12*e^3*x^13)/13 + (3*b*d^6*e^3*x^7*(a^2 + 308*b^2*c^6 + 84*a*b*c^3))/7 + (b^2*d^9*e^3*x^10*(3*a + 220*b*c^3))/10 + 6*b^3*c^2*d^10*e^3*x^11 + c*d^2*e^3*x^3*(a^3 + 22*b^3*c^9 + 15*a^2*b*c^3 + 36*a*b^2*c^6) + b^3*c*d^11*e^3*x^12 + (3*c^2*d*e^3*x^2*(a + b*c^3)^2*(a + 4*b*c^3))/2 + (9*b*c^2*d^4*e^3*x^5*(5*a^2 + 55*b^2*c^6 + 42*a*b*c^3))/5 + 3*b*c*d^5*e^3*x^6*(a^2 + 44*b^2*c^6 + 21*a*b*c^3) + b^2*c*d^8*e^3*x^9*(3*a + 55*b*c^3) + (9*b^2*c^2*d^7*e^3*x^8*(3*a + 22*b*c^3))/2","B"
2859,1,169,156,1.398329,"\text{Not used}","int((c + d*x)^4/(a + b*(c + d*x)^3),x)","\frac{d\,x^2}{2\,b}+\frac{c\,x}{b}+\frac{a^{2/3}\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{3\,b^{5/3}\,d}-\frac{a^{2/3}\,\ln\left(\frac{a^2\,c\,d^4}{b}+\frac{a^2\,d^5\,x}{b}+\frac{a^{7/3}\,d^4\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{b^{4/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,b^{5/3}\,d}+\frac{a^{2/3}\,\ln\left(\frac{a^2\,c\,d^4}{b}+\frac{a^2\,d^5\,x}{b}+\frac{9\,a^{7/3}\,d^4\,{\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}^2}{b^{4/3}}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{b^{5/3}\,d}","Not used",1,"(d*x^2)/(2*b) + (c*x)/b + (a^(2/3)*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(3*b^(5/3)*d) - (a^(2/3)*log((a^2*c*d^4)/b + (a^2*d^5*x)/b + (a^(7/3)*d^4*((3^(1/2)*1i)/2 + 1/2)^2)/b^(4/3))*((3^(1/2)*1i)/2 + 1/2))/(3*b^(5/3)*d) + (a^(2/3)*log((a^2*c*d^4)/b + (a^2*d^5*x)/b + (9*a^(7/3)*d^4*((3^(1/2)*1i)/6 - 1/6)^2)/b^(4/3))*((3^(1/2)*1i)/6 - 1/6))/(b^(5/3)*d)","B"
2860,1,158,144,0.238468,"\text{Not used}","int((c + d*x)^3/(a + b*(c + d*x)^3),x)","\frac{x}{b}+\frac{{\left(-a\right)}^{1/3}\,\ln\left({\left(-a\right)}^{4/3}+a\,b^{1/3}\,c+a\,b^{1/3}\,d\,x\right)}{3\,b^{4/3}\,d}-\frac{{\left(-a\right)}^{1/3}\,\ln\left(3\,a\,b\,c\,d^5-3\,{\left(-a\right)}^{4/3}\,b^{2/3}\,d^5\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)+3\,a\,b\,d^6\,x\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,b^{4/3}\,d}+\frac{{\left(-a\right)}^{1/3}\,\ln\left(9\,{\left(-a\right)}^{4/3}\,b^{2/3}\,d^5\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+3\,a\,b\,c\,d^5+3\,a\,b\,d^6\,x\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{b^{4/3}\,d}","Not used",1,"x/b + ((-a)^(1/3)*log((-a)^(4/3) + a*b^(1/3)*c + a*b^(1/3)*d*x))/(3*b^(4/3)*d) - ((-a)^(1/3)*log(3*a*b*c*d^5 - 3*(-a)^(4/3)*b^(2/3)*d^5*((3^(1/2)*1i)/2 + 1/2) + 3*a*b*d^6*x)*((3^(1/2)*1i)/2 + 1/2))/(3*b^(4/3)*d) + ((-a)^(1/3)*log(9*(-a)^(4/3)*b^(2/3)*d^5*((3^(1/2)*1i)/6 - 1/6) + 3*a*b*c*d^5 + 3*a*b*d^6*x)*((3^(1/2)*1i)/6 - 1/6))/(b^(4/3)*d)","B"
2861,1,42,22,1.191311,"\text{Not used}","int((c + d*x)^2/(a + b*(c + d*x)^3),x)","\frac{\ln\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}{3\,b\,d}","Not used",1,"log(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2)/(3*b*d)","B"
2862,1,150,140,1.436993,"\text{Not used}","int((c + d*x)/(a + b*(c + d*x)^3),x)","\frac{\ln\left(b^{1/3}\,c-{\left(-a\right)}^{1/3}+b^{1/3}\,d\,x\right)}{3\,{\left(-a\right)}^{1/3}\,b^{2/3}\,d}+\frac{\ln\left(b\,c\,d^4+b\,d^5\,x-\frac{{\left(-a\right)}^{1/3}\,b^{2/3}\,d^4\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-a\right)}^{1/3}\,b^{2/3}\,d}-\frac{\ln\left(b\,c\,d^4+b\,d^5\,x-\frac{{\left(-a\right)}^{1/3}\,b^{2/3}\,d^4\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,{\left(-a\right)}^{1/3}\,b^{2/3}\,d}","Not used",1,"log(b^(1/3)*c - (-a)^(1/3) + b^(1/3)*d*x)/(3*(-a)^(1/3)*b^(2/3)*d) + (log(b*c*d^4 + b*d^5*x - ((-a)^(1/3)*b^(2/3)*d^4*(3^(1/2)*1i - 1)^2)/4)*(3^(1/2)*1i - 1))/(6*(-a)^(1/3)*b^(2/3)*d) - (log(b*c*d^4 + b*d^5*x - ((-a)^(1/3)*b^(2/3)*d^4*(3^(1/2)*1i + 1)^2)/4)*(3^(1/2)*1i + 1))/(6*(-a)^(1/3)*b^(2/3)*d)","B"
2863,1,144,140,1.402355,"\text{Not used}","int(1/(a + b*(c + d*x)^3),x)","\frac{\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{3\,a^{2/3}\,b^{1/3}\,d}+\frac{\ln\left(3\,b^2\,c\,d^5+3\,b^2\,d^6\,x+\frac{3\,a^{1/3}\,b^{5/3}\,d^5\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,b^{1/3}\,d}-\frac{\ln\left(3\,b^2\,c\,d^5+3\,b^2\,d^6\,x-\frac{3\,a^{1/3}\,b^{5/3}\,d^5\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,b^{1/3}\,d}","Not used",1,"log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x)/(3*a^(2/3)*b^(1/3)*d) + (log(3*b^2*c*d^5 + 3*b^2*d^6*x + (3*a^(1/3)*b^(5/3)*d^5*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(6*a^(2/3)*b^(1/3)*d) - (log(3*b^2*c*d^5 + 3*b^2*d^6*x - (3*a^(1/3)*b^(5/3)*d^5*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(6*a^(2/3)*b^(1/3)*d)","B"
2864,1,56,36,1.283972,"\text{Not used}","int(1/((a + b*(c + d*x)^3)*(c + d*x)),x)","\frac{\ln\left(c+d\,x\right)}{a\,d}-\frac{\ln\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}{3\,a\,d}","Not used",1,"log(c + d*x)/(a*d) - log(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2)/(3*a*d)","B"
2865,1,138,154,0.375268,"\text{Not used}","int(1/((a + b*(c + d*x)^3)*(c + d*x)^2),x)","\frac{b^{1/3}\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{3\,a^{4/3}\,d}-\frac{1}{a\,d\,\left(c+d\,x\right)}-\frac{b^{1/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,a^{4/3}\,d}+\frac{b^{1/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x-\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{a^{4/3}\,d}","Not used",1,"(b^(1/3)*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(3*a^(4/3)*d) - 1/(a*d*(c + d*x)) - (b^(1/3)*log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 + 1/2))/(3*a^(4/3)*d) + (b^(1/3)*log(2*b^(1/3)*c - 3^(1/2)*a^(1/3)*1i - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/6 - 1/6))/(a^(4/3)*d)","B"
2866,1,201,156,0.330996,"\text{Not used}","int(1/((a + b*(c + d*x)^3)*(c + d*x)^3),x)","\frac{b^{2/3}\,\ln\left(a^2\,b^{1/3}\,c-{\left(-a\right)}^{7/3}+a^2\,b^{1/3}\,d\,x\right)}{3\,{\left(-a\right)}^{5/3}\,d}-\frac{1}{2\,a\,d\,\left(c^2+2\,c\,d\,x+d^2\,x^2\right)}-\frac{b^{2/3}\,\ln\left(3\,a^2\,b^3\,c\,d^5+3\,a^2\,b^3\,d^6\,x+3\,{\left(-a\right)}^{7/3}\,b^{8/3}\,d^5\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,{\left(-a\right)}^{5/3}\,d}+\frac{b^{2/3}\,\ln\left(3\,a^2\,b^3\,c\,d^5+3\,a^2\,b^3\,d^6\,x-9\,{\left(-a\right)}^{7/3}\,b^{8/3}\,d^5\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{{\left(-a\right)}^{5/3}\,d}","Not used",1,"(b^(2/3)*log(a^2*b^(1/3)*c - (-a)^(7/3) + a^2*b^(1/3)*d*x))/(3*(-a)^(5/3)*d) - 1/(2*a*d*(c^2 + d^2*x^2 + 2*c*d*x)) - (b^(2/3)*log(3*a^2*b^3*c*d^5 + 3*a^2*b^3*d^6*x + 3*(-a)^(7/3)*b^(8/3)*d^5*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/(3*(-a)^(5/3)*d) + (b^(2/3)*log(3*a^2*b^3*c*d^5 + 3*a^2*b^3*d^6*x - 9*(-a)^(7/3)*b^(8/3)*d^5*((3^(1/2)*1i)/6 - 1/6))*((3^(1/2)*1i)/6 - 1/6))/((-a)^(5/3)*d)","B"
2867,1,104,56,1.422817,"\text{Not used}","int(1/((a + b*(c + d*x)^3)*(c + d*x)^4),x)","\frac{b\,\ln\left(-b\,c^3-3\,b\,c^2\,d\,x-3\,b\,c\,d^2\,x^2-b\,d^3\,x^3-a\right)}{3\,a^2\,d}-\frac{b\,\ln\left(c+d\,x\right)}{a^2\,d}-\frac{1}{3\,\left(a\,c^3\,d+3\,a\,c^2\,d^2\,x+3\,a\,c\,d^3\,x^2+a\,d^4\,x^3\right)}","Not used",1,"(b*log(- a - b*c^3 - b*d^3*x^3 - 3*b*c^2*d*x - 3*b*c*d^2*x^2))/(3*a^2*d) - (b*log(c + d*x))/(a^2*d) - 1/(3*(a*d^4*x^3 + a*c^3*d + 3*a*c^2*d^2*x + 3*a*c*d^3*x^2))","B"
2868,1,240,172,1.498450,"\text{Not used}","int((c + d*x)^4/(a + b*(c + d*x)^3)^2,x)","\frac{2\,\ln\left(\frac{4\,c\,d^4}{9\,b}-\frac{4\,{\left(-a\right)}^{1/3}\,d^4}{9\,b^{4/3}}+\frac{4\,d^5\,x}{9\,b}\right)}{9\,{\left(-a\right)}^{1/3}\,b^{5/3}\,d}-\frac{\frac{d\,x^2}{3\,b}+\frac{c^2}{3\,b\,d}+\frac{2\,c\,x}{3\,b}}{b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a}+\frac{\ln\left(\frac{4\,c\,d^4}{9\,b}+\frac{4\,d^5\,x}{9\,b}-\frac{{\left(-a\right)}^{1/3}\,d^4\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{9\,b^{4/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,{\left(-a\right)}^{1/3}\,b^{5/3}\,d}-\frac{\ln\left(\frac{4\,c\,d^4}{9\,b}+\frac{4\,d^5\,x}{9\,b}-\frac{{\left(-a\right)}^{1/3}\,d^4\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{9\,b^{4/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,{\left(-a\right)}^{1/3}\,b^{5/3}\,d}","Not used",1,"(2*log((4*c*d^4)/(9*b) - (4*(-a)^(1/3)*d^4)/(9*b^(4/3)) + (4*d^5*x)/(9*b)))/(9*(-a)^(1/3)*b^(5/3)*d) - ((d*x^2)/(3*b) + c^2/(3*b*d) + (2*c*x)/(3*b))/(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2) + (log((4*c*d^4)/(9*b) + (4*d^5*x)/(9*b) - ((-a)^(1/3)*d^4*(3^(1/2)*1i - 1)^2)/(9*b^(4/3)))*(3^(1/2)*1i - 1))/(9*(-a)^(1/3)*b^(5/3)*d) - (log((4*c*d^4)/(9*b) + (4*d^5*x)/(9*b) - ((-a)^(1/3)*d^4*(3^(1/2)*1i + 1)^2)/(9*b^(4/3)))*(3^(1/2)*1i + 1))/(9*(-a)^(1/3)*b^(5/3)*d)","B"
2869,1,185,170,0.291549,"\text{Not used}","int((c + d*x)^3/(a + b*(c + d*x)^3)^2,x)","\frac{\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{9\,a^{2/3}\,b^{4/3}\,d}-\frac{\frac{x}{3\,b}+\frac{c}{3\,b\,d}}{b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a}+\frac{\ln\left(b\,c\,d^5+b\,d^6\,x+\frac{a^{1/3}\,b^{2/3}\,d^5\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{2/3}\,b^{4/3}\,d}-\frac{\ln\left(b\,c\,d^5+b\,d^6\,x-\frac{a^{1/3}\,b^{2/3}\,d^5\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{2/3}\,b^{4/3}\,d}","Not used",1,"log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x)/(9*a^(2/3)*b^(4/3)*d) - (x/(3*b) + c/(3*b*d))/(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2) + (log(b*c*d^5 + b*d^6*x + (a^(1/3)*b^(2/3)*d^5*(3^(1/2)*1i - 1))/2)*(3^(1/2)*1i - 1))/(18*a^(2/3)*b^(4/3)*d) - (log(b*c*d^5 + b*d^6*x - (a^(1/3)*b^(2/3)*d^5*(3^(1/2)*1i + 1))/2)*(3^(1/2)*1i + 1))/(18*a^(2/3)*b^(4/3)*d)","B"
2870,1,43,23,1.205706,"\text{Not used}","int((c + d*x)^2/(a + b*(c + d*x)^3)^2,x)","-\frac{1}{3\,b\,d\,\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}","Not used",1,"-1/(3*b*d*(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2))","B"
2871,1,216,172,1.423325,"\text{Not used}","int((c + d*x)/(a + b*(c + d*x)^3)^2,x)","\frac{\frac{d\,x^2}{3\,a}+\frac{c^2}{3\,a\,d}+\frac{2\,c\,x}{3\,a}}{b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a}-\frac{\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{9\,a^{4/3}\,b^{2/3}\,d}-\frac{\ln\left(\frac{b^{2/3}\,d^4\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{36\,a^{5/3}}+\frac{b\,c\,d^4}{9\,a^2}+\frac{b\,d^5\,x}{9\,a^2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{4/3}\,b^{2/3}\,d}+\frac{\ln\left(\frac{b^{2/3}\,d^4\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{36\,a^{5/3}}+\frac{b\,c\,d^4}{9\,a^2}+\frac{b\,d^5\,x}{9\,a^2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{18\,a^{4/3}\,b^{2/3}\,d}","Not used",1,"((d*x^2)/(3*a) + c^2/(3*a*d) + (2*c*x)/(3*a))/(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2) - log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x)/(9*a^(4/3)*b^(2/3)*d) - (log((b^(2/3)*d^4*(3^(1/2)*1i - 1)^2)/(36*a^(5/3)) + (b*c*d^4)/(9*a^2) + (b*d^5*x)/(9*a^2))*(3^(1/2)*1i - 1))/(18*a^(4/3)*b^(2/3)*d) + (log((b^(2/3)*d^4*(3^(1/2)*1i + 1)^2)/(36*a^(5/3)) + (b*c*d^4)/(9*a^2) + (b*d^5*x)/(9*a^2))*(3^(1/2)*1i + 1))/(18*a^(4/3)*b^(2/3)*d)","B"
2872,1,207,170,1.455574,"\text{Not used}","int(1/(a + b*(c + d*x)^3)^2,x)","\frac{\frac{x}{3\,a}+\frac{c}{3\,a\,d}}{b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a}+\frac{2\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{9\,a^{5/3}\,b^{1/3}\,d}+\frac{\ln\left(\frac{2\,b^2\,c\,d^5}{a}+\frac{2\,b^2\,d^6\,x}{a}+\frac{b^{5/3}\,d^5\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{a^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,a^{5/3}\,b^{1/3}\,d}-\frac{\ln\left(\frac{2\,b^2\,c\,d^5}{a}+\frac{2\,b^2\,d^6\,x}{a}-\frac{b^{5/3}\,d^5\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{a^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{9\,a^{5/3}\,b^{1/3}\,d}","Not used",1,"(x/(3*a) + c/(3*a*d))/(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2) + (2*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(9*a^(5/3)*b^(1/3)*d) + (log((2*b^2*c*d^5)/a + (2*b^2*d^6*x)/a + (b^(5/3)*d^5*(3^(1/2)*1i - 1))/a^(2/3))*(3^(1/2)*1i - 1))/(9*a^(5/3)*b^(1/3)*d) - (log((2*b^2*c*d^5)/a + (2*b^2*d^6*x)/a - (b^(5/3)*d^5*(3^(1/2)*1i + 1))/a^(2/3))*(3^(1/2)*1i + 1))/(9*a^(5/3)*b^(1/3)*d)","B"
2873,1,105,59,0.219546,"\text{Not used}","int(1/((a + b*(c + d*x)^3)^2*(c + d*x)),x)","\frac{1}{3\,\left(a^2\,d+b\,a\,c^3\,d+3\,b\,a\,c^2\,d^2\,x+3\,b\,a\,c\,d^3\,x^2+b\,a\,d^4\,x^3\right)}-\frac{\ln\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}{3\,a^2\,d}+\frac{\ln\left(c+d\,x\right)}{a^2\,d}","Not used",1,"1/(3*(a^2*d + a*b*c^3*d + a*b*d^4*x^3 + 3*a*b*c^2*d^2*x + 3*a*b*c*d^3*x^2)) - log(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2)/(3*a^2*d) + log(c + d*x)/(a^2*d)","B"
2874,1,231,189,1.811383,"\text{Not used}","int(1/((a + b*(c + d*x)^3)^2*(c + d*x)^2),x)","\frac{4\,b^{1/3}\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{9\,a^{7/3}\,d}-\frac{\frac{4\,b\,c^3+3\,a}{3\,a^2\,d}+\frac{4\,b\,d^2\,x^3}{3\,a^2}+\frac{4\,b\,c^2\,x}{a^2}+\frac{4\,b\,c\,d\,x^2}{a^2}}{a\,c+x\,\left(4\,b\,d\,c^3+a\,d\right)+b\,c^4+b\,d^4\,x^4+6\,b\,c^2\,d^2\,x^2+4\,b\,c\,d^3\,x^3}-\frac{4\,b^{1/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{7/3}\,d}+\frac{b^{1/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x-\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{2}{9}+\frac{\sqrt{3}\,2{}\mathrm{i}}{9}\right)}{a^{7/3}\,d}","Not used",1,"(4*b^(1/3)*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(9*a^(7/3)*d) - ((3*a + 4*b*c^3)/(3*a^2*d) + (4*b*d^2*x^3)/(3*a^2) + (4*b*c^2*x)/a^2 + (4*b*c*d*x^2)/a^2)/(a*c + x*(a*d + 4*b*c^3*d) + b*c^4 + b*d^4*x^4 + 6*b*c^2*d^2*x^2 + 4*b*c*d^3*x^3) - (4*b^(1/3)*log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 + 1/2))/(9*a^(7/3)*d) + (b^(1/3)*log(2*b^(1/3)*c - 3^(1/2)*a^(1/3)*1i - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*2i)/9 - 2/9))/(a^(7/3)*d)","B"
2875,1,255,189,1.978305,"\text{Not used}","int(1/((a + b*(c + d*x)^3)^2*(c + d*x)^3),x)","-\frac{\frac{5\,b\,c^3+3\,a}{6\,a^2\,d}+\frac{5\,b\,d^2\,x^3}{6\,a^2}+\frac{5\,b\,c^2\,x}{2\,a^2}+\frac{5\,b\,c\,d\,x^2}{2\,a^2}}{x^2\,\left(10\,b\,c^3\,d^2+a\,d^2\right)+a\,c^2+b\,c^5+x\,\left(5\,b\,d\,c^4+2\,a\,d\,c\right)+b\,d^5\,x^5+10\,b\,c^2\,d^3\,x^3+5\,b\,c\,d^4\,x^4}-\frac{5\,b^{2/3}\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{9\,a^{8/3}\,d}+\frac{5\,b^{2/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x-\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{8/3}\,d}-\frac{5\,b^{2/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{8/3}\,d}","Not used",1,"(5*b^(2/3)*log(2*b^(1/3)*c - 3^(1/2)*a^(1/3)*1i - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 + 1/2))/(9*a^(8/3)*d) - (5*b^(2/3)*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(9*a^(8/3)*d) - ((3*a + 5*b*c^3)/(6*a^2*d) + (5*b*d^2*x^3)/(6*a^2) + (5*b*c^2*x)/(2*a^2) + (5*b*c*d*x^2)/(2*a^2))/(x^2*(a*d^2 + 10*b*c^3*d^2) + a*c^2 + b*c^5 + x*(2*a*c*d + 5*b*c^4*d) + b*d^5*x^5 + 10*b*c^2*d^3*x^3 + 5*b*c*d^4*x^4) - (5*b^(2/3)*log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 - 1/2))/(9*a^(8/3)*d)","B"
2876,1,211,80,1.935607,"\text{Not used}","int(1/((a + b*(c + d*x)^3)^2*(c + d*x)^4),x)","\frac{2\,b\,\ln\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}{3\,a^3\,d}-\frac{\frac{2\,b\,c^3+a}{3\,a^2\,d}+\frac{2\,b\,d^2\,x^3}{3\,a^2}+\frac{2\,b\,c^2\,x}{a^2}+\frac{2\,b\,c\,d\,x^2}{a^2}}{x\,\left(6\,b\,d\,c^5+3\,a\,d\,c^2\right)+x^3\,\left(20\,b\,c^3\,d^3+a\,d^3\right)+a\,c^3+b\,c^6+x^2\,\left(15\,b\,c^4\,d^2+3\,a\,c\,d^2\right)+b\,d^6\,x^6+15\,b\,c^2\,d^4\,x^4+6\,b\,c\,d^5\,x^5}-\frac{2\,b\,\ln\left(c+d\,x\right)}{a^3\,d}","Not used",1,"(2*b*log(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2))/(3*a^3*d) - ((a + 2*b*c^3)/(3*a^2*d) + (2*b*d^2*x^3)/(3*a^2) + (2*b*c^2*x)/a^2 + (2*b*c*d*x^2)/a^2)/(x*(3*a*c^2*d + 6*b*c^5*d) + x^3*(a*d^3 + 20*b*c^3*d^3) + a*c^3 + b*c^6 + x^2*(15*b*c^4*d^2 + 3*a*c*d^2) + b*d^6*x^6 + 15*b*c^2*d^4*x^4 + 6*b*c*d^5*x^5) - (2*b*log(c + d*x))/(a^3*d)","B"
2877,1,399,205,1.809133,"\text{Not used}","int((c + d*x)^4/(a + b*(c + d*x)^3)^3,x)","\frac{\frac{d^4\,x^5}{9\,a}-\frac{a\,c^2-2\,b\,c^5}{18\,a\,b\,d}+\frac{5\,c\,d^3\,x^4}{9\,a}+\frac{10\,c^2\,d^2\,x^3}{9\,a}-\frac{c\,x\,\left(a-5\,b\,c^3\right)}{9\,a\,b}-\frac{d\,x^2\,\left(a-20\,b\,c^3\right)}{18\,a\,b}}{x^3\,\left(20\,b^2\,c^3\,d^3+2\,a\,b\,d^3\right)+x^2\,\left(15\,b^2\,c^4\,d^2+6\,a\,b\,c\,d^2\right)+a^2+x\,\left(6\,d\,b^2\,c^5+6\,a\,d\,b\,c^2\right)+b^2\,c^6+b^2\,d^6\,x^6+2\,a\,b\,c^3+6\,b^2\,c\,d^5\,x^5+15\,b^2\,c^2\,d^4\,x^4}+\frac{\ln\left(a^{1/3}\,b+{\left(-b\right)}^{4/3}\,c+{\left(-b\right)}^{4/3}\,d\,x\right)}{27\,a^{4/3}\,{\left(-b\right)}^{5/3}\,d}+\frac{\ln\left(\frac{c\,d^4}{81\,a^2\,b}+\frac{d^5\,x}{81\,a^2\,b}+\frac{d^4\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{324\,a^{5/3}\,{\left(-b\right)}^{4/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{54\,a^{4/3}\,{\left(-b\right)}^{5/3}\,d}-\frac{\ln\left(\frac{c\,d^4}{81\,a^2\,b}+\frac{d^5\,x}{81\,a^2\,b}+\frac{d^4\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{324\,a^{5/3}\,{\left(-b\right)}^{4/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{54\,a^{4/3}\,{\left(-b\right)}^{5/3}\,d}","Not used",1,"((d^4*x^5)/(9*a) - (a*c^2 - 2*b*c^5)/(18*a*b*d) + (5*c*d^3*x^4)/(9*a) + (10*c^2*d^2*x^3)/(9*a) - (c*x*(a - 5*b*c^3))/(9*a*b) - (d*x^2*(a - 20*b*c^3))/(18*a*b))/(x^3*(20*b^2*c^3*d^3 + 2*a*b*d^3) + x^2*(15*b^2*c^4*d^2 + 6*a*b*c*d^2) + a^2 + x*(6*b^2*c^5*d + 6*a*b*c^2*d) + b^2*c^6 + b^2*d^6*x^6 + 2*a*b*c^3 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4) + log(a^(1/3)*b + (-b)^(4/3)*c + (-b)^(4/3)*d*x)/(27*a^(4/3)*(-b)^(5/3)*d) + (log((c*d^4)/(81*a^2*b) + (d^5*x)/(81*a^2*b) + (d^4*(3^(1/2)*1i - 1)^2)/(324*a^(5/3)*(-b)^(4/3)))*(3^(1/2)*1i - 1))/(54*a^(4/3)*(-b)^(5/3)*d) - (log((c*d^4)/(81*a^2*b) + (d^5*x)/(81*a^2*b) + (d^4*(3^(1/2)*1i + 1)^2)/(324*a^(5/3)*(-b)^(4/3)))*(3^(1/2)*1i + 1))/(54*a^(4/3)*(-b)^(5/3)*d)","B"
2878,1,347,201,1.659398,"\text{Not used}","int((c + d*x)^3/(a + b*(c + d*x)^3)^3,x)","\frac{\frac{d^3\,x^4}{18\,a}+\frac{c^2\,d\,x^2}{3\,a}+\frac{2\,c\,d^2\,x^3}{9\,a}-\frac{x\,\left(a-2\,b\,c^3\right)}{9\,a\,b}-\frac{2\,a\,c-b\,c^4}{18\,a\,b\,d}}{x^3\,\left(20\,b^2\,c^3\,d^3+2\,a\,b\,d^3\right)+x^2\,\left(15\,b^2\,c^4\,d^2+6\,a\,b\,c\,d^2\right)+a^2+x\,\left(6\,d\,b^2\,c^5+6\,a\,d\,b\,c^2\right)+b^2\,c^6+b^2\,d^6\,x^6+2\,a\,b\,c^3+6\,b^2\,c\,d^5\,x^5+15\,b^2\,c^2\,d^4\,x^4}+\frac{\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{27\,a^{5/3}\,b^{4/3}\,d}+\frac{\ln\left(\frac{b\,c\,d^5}{3\,a}+\frac{b\,d^6\,x}{3\,a}+\frac{b^{2/3}\,d^5\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{54\,a^{5/3}\,b^{4/3}\,d}-\frac{\ln\left(\frac{b\,c\,d^5}{3\,a}+\frac{b\,d^6\,x}{3\,a}-\frac{b^{2/3}\,d^5\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{54\,a^{5/3}\,b^{4/3}\,d}","Not used",1,"((d^3*x^4)/(18*a) + (c^2*d*x^2)/(3*a) + (2*c*d^2*x^3)/(9*a) - (x*(a - 2*b*c^3))/(9*a*b) - (2*a*c - b*c^4)/(18*a*b*d))/(x^3*(20*b^2*c^3*d^3 + 2*a*b*d^3) + x^2*(15*b^2*c^4*d^2 + 6*a*b*c*d^2) + a^2 + x*(6*b^2*c^5*d + 6*a*b*c^2*d) + b^2*c^6 + b^2*d^6*x^6 + 2*a*b*c^3 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4) + log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x)/(27*a^(5/3)*b^(4/3)*d) + (log((b*c*d^5)/(3*a) + (b*d^6*x)/(3*a) + (b^(2/3)*d^5*(3^(1/2)*1i - 1))/(6*a^(2/3)))*(3^(1/2)*1i - 1))/(54*a^(5/3)*b^(4/3)*d) - (log((b*c*d^5)/(3*a) + (b*d^6*x)/(3*a) - (b^(2/3)*d^5*(3^(1/2)*1i + 1))/(6*a^(2/3)))*(3^(1/2)*1i + 1))/(54*a^(5/3)*b^(4/3)*d)","B"
2879,1,131,23,1.351652,"\text{Not used}","int((c + d*x)^2/(a + b*(c + d*x)^3)^3,x)","-\frac{1}{6\,b\,d\,\left(x^3\,\left(20\,b^2\,c^3\,d^3+2\,a\,b\,d^3\right)+x^2\,\left(15\,b^2\,c^4\,d^2+6\,a\,b\,c\,d^2\right)+a^2+x\,\left(6\,d\,b^2\,c^5+6\,a\,d\,b\,c^2\right)+b^2\,c^6+b^2\,d^6\,x^6+2\,a\,b\,c^3+6\,b^2\,c\,d^5\,x^5+15\,b^2\,c^2\,d^4\,x^4\right)}","Not used",1,"-1/(6*b*d*(x^3*(20*b^2*c^3*d^3 + 2*a*b*d^3) + x^2*(15*b^2*c^4*d^2 + 6*a*b*c*d^2) + a^2 + x*(6*b^2*c^5*d + 6*a*b*c^2*d) + b^2*c^6 + b^2*d^6*x^6 + 2*a*b*c^3 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4))","B"
2880,1,403,202,0.498237,"\text{Not used}","int((c + d*x)/(a + b*(c + d*x)^3)^3,x)","\frac{\frac{4\,b\,c^5+7\,a\,c^2}{18\,a^2\,d}+\frac{2\,b\,d^4\,x^5}{9\,a^2}+\frac{c\,x\,\left(10\,b\,c^3+7\,a\right)}{9\,a^2}+\frac{d\,x^2\,\left(40\,b\,c^3+7\,a\right)}{18\,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}}{x^3\,\left(20\,b^2\,c^3\,d^3+2\,a\,b\,d^3\right)+x^2\,\left(15\,b^2\,c^4\,d^2+6\,a\,b\,c\,d^2\right)+a^2+x\,\left(6\,d\,b^2\,c^5+6\,a\,d\,b\,c^2\right)+b^2\,c^6+b^2\,d^6\,x^6+2\,a\,b\,c^3+6\,b^2\,c\,d^5\,x^5+15\,b^2\,c^2\,d^4\,x^4}+\frac{2\,\ln\left(\frac{4\,b\,c\,d^4}{81\,a^4}-\frac{4\,b^{2/3}\,d^4}{81\,{\left(-a\right)}^{11/3}}+\frac{4\,b\,d^5\,x}{81\,a^4}\right)}{27\,{\left(-a\right)}^{7/3}\,b^{2/3}\,d}+\frac{\ln\left(\frac{4\,b\,c\,d^4}{81\,a^4}-\frac{b^{2/3}\,d^4\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{81\,{\left(-a\right)}^{11/3}}+\frac{4\,b\,d^5\,x}{81\,a^4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{27\,{\left(-a\right)}^{7/3}\,b^{2/3}\,d}-\frac{\ln\left(\frac{4\,b\,c\,d^4}{81\,a^4}-\frac{b^{2/3}\,d^4\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2}{81\,{\left(-a\right)}^{11/3}}+\frac{4\,b\,d^5\,x}{81\,a^4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{27\,{\left(-a\right)}^{7/3}\,b^{2/3}\,d}","Not used",1,"((7*a*c^2 + 4*b*c^5)/(18*a^2*d) + (2*b*d^4*x^5)/(9*a^2) + (c*x*(7*a + 10*b*c^3))/(9*a^2) + (d*x^2*(7*a + 40*b*c^3))/(18*a^2) + (10*b*c*d^3*x^4)/(9*a^2) + (20*b*c^2*d^2*x^3)/(9*a^2))/(x^3*(20*b^2*c^3*d^3 + 2*a*b*d^3) + x^2*(15*b^2*c^4*d^2 + 6*a*b*c*d^2) + a^2 + x*(6*b^2*c^5*d + 6*a*b*c^2*d) + b^2*c^6 + b^2*d^6*x^6 + 2*a*b*c^3 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4) + (2*log((4*b*c*d^4)/(81*a^4) - (4*b^(2/3)*d^4)/(81*(-a)^(11/3)) + (4*b*d^5*x)/(81*a^4)))/(27*(-a)^(7/3)*b^(2/3)*d) + (log((4*b*c*d^4)/(81*a^4) - (b^(2/3)*d^4*(3^(1/2)*1i - 1)^2)/(81*(-a)^(11/3)) + (4*b*d^5*x)/(81*a^4))*(3^(1/2)*1i - 1))/(27*(-a)^(7/3)*b^(2/3)*d) - (log((4*b*c*d^4)/(81*a^4) - (b^(2/3)*d^4*(3^(1/2)*1i + 1)^2)/(81*(-a)^(11/3)) + (4*b*d^5*x)/(81*a^4))*(3^(1/2)*1i + 1))/(27*(-a)^(7/3)*b^(2/3)*d)","B"
2881,1,354,198,1.609373,"\text{Not used}","int(1/(a + b*(c + d*x)^3)^3,x)","\frac{\frac{2\,x\,\left(5\,b\,c^3+2\,a\right)}{9\,a^2}+\frac{5\,b\,c^4+8\,a\,c}{18\,a^2\,d}+\frac{5\,b\,d^3\,x^4}{18\,a^2}+\frac{5\,b\,c^2\,d\,x^2}{3\,a^2}+\frac{10\,b\,c\,d^2\,x^3}{9\,a^2}}{x^3\,\left(20\,b^2\,c^3\,d^3+2\,a\,b\,d^3\right)+x^2\,\left(15\,b^2\,c^4\,d^2+6\,a\,b\,c\,d^2\right)+a^2+x\,\left(6\,d\,b^2\,c^5+6\,a\,d\,b\,c^2\right)+b^2\,c^6+b^2\,d^6\,x^6+2\,a\,b\,c^3+6\,b^2\,c\,d^5\,x^5+15\,b^2\,c^2\,d^4\,x^4}+\frac{5\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{27\,a^{8/3}\,b^{1/3}\,d}+\frac{\ln\left(\frac{5\,b^2\,c\,d^5}{3\,a^2}+\frac{5\,b^2\,d^6\,x}{3\,a^2}+\frac{b^{5/3}\,d^5\,\left(-5+\sqrt{3}\,5{}\mathrm{i}\right)}{6\,a^{5/3}}\right)\,\left(-5+\sqrt{3}\,5{}\mathrm{i}\right)}{54\,a^{8/3}\,b^{1/3}\,d}-\frac{\ln\left(\frac{5\,b^2\,c\,d^5}{3\,a^2}+\frac{5\,b^2\,d^6\,x}{3\,a^2}-\frac{b^{5/3}\,d^5\,\left(5+\sqrt{3}\,5{}\mathrm{i}\right)}{6\,a^{5/3}}\right)\,\left(5+\sqrt{3}\,5{}\mathrm{i}\right)}{54\,a^{8/3}\,b^{1/3}\,d}","Not used",1,"((2*x*(2*a + 5*b*c^3))/(9*a^2) + (8*a*c + 5*b*c^4)/(18*a^2*d) + (5*b*d^3*x^4)/(18*a^2) + (5*b*c^2*d*x^2)/(3*a^2) + (10*b*c*d^2*x^3)/(9*a^2))/(x^3*(20*b^2*c^3*d^3 + 2*a*b*d^3) + x^2*(15*b^2*c^4*d^2 + 6*a*b*c*d^2) + a^2 + x*(6*b^2*c^5*d + 6*a*b*c^2*d) + b^2*c^6 + b^2*d^6*x^6 + 2*a*b*c^3 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4) + (5*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(27*a^(8/3)*b^(1/3)*d) + (log((5*b^2*c*d^5)/(3*a^2) + (5*b^2*d^6*x)/(3*a^2) + (b^(5/3)*d^5*(3^(1/2)*5i - 5))/(6*a^(5/3)))*(3^(1/2)*5i - 5))/(54*a^(8/3)*b^(1/3)*d) - (log((5*b^2*c*d^5)/(3*a^2) + (5*b^2*d^6*x)/(3*a^2) - (b^(5/3)*d^5*(3^(1/2)*5i + 5))/(6*a^(5/3)))*(3^(1/2)*5i + 5))/(54*a^(8/3)*b^(1/3)*d)","B"
2882,1,230,82,1.871242,"\text{Not used}","int(1/((a + b*(c + d*x)^3)^3*(c + d*x)),x)","\frac{\frac{2\,b\,c^3+3\,a}{6\,a^2\,d}+\frac{b\,d^2\,x^3}{3\,a^2}+\frac{b\,c^2\,x}{a^2}+\frac{b\,c\,d\,x^2}{a^2}}{x^3\,\left(20\,b^2\,c^3\,d^3+2\,a\,b\,d^3\right)+x^2\,\left(15\,b^2\,c^4\,d^2+6\,a\,b\,c\,d^2\right)+a^2+x\,\left(6\,d\,b^2\,c^5+6\,a\,d\,b\,c^2\right)+b^2\,c^6+b^2\,d^6\,x^6+2\,a\,b\,c^3+6\,b^2\,c\,d^5\,x^5+15\,b^2\,c^2\,d^4\,x^4}-\frac{\ln\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}{3\,a^3\,d}+\frac{\ln\left(c+d\,x\right)}{a^3\,d}","Not used",1,"((3*a + 2*b*c^3)/(6*a^2*d) + (b*d^2*x^3)/(3*a^2) + (b*c^2*x)/a^2 + (b*c*d*x^2)/a^2)/(x^3*(20*b^2*c^3*d^3 + 2*a*b*d^3) + x^2*(15*b^2*c^4*d^2 + 6*a*b*c*d^2) + a^2 + x*(6*b^2*c^5*d + 6*a*b*c^2*d) + b^2*c^6 + b^2*d^6*x^6 + 2*a*b*c^3 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4) - log(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2)/(3*a^3*d) + log(c + d*x)/(a^3*d)","B"
2883,1,431,219,2.577567,"\text{Not used}","int(1/((a + b*(c + d*x)^3)^3*(c + d*x)^2),x)","\frac{14\,b^{1/3}\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{27\,a^{10/3}\,d}-\frac{\frac{18\,a^2+49\,a\,b\,c^3+28\,b^2\,c^6}{18\,a^3\,d}+\frac{7\,x^2\,\left(20\,d\,b^2\,c^4+7\,a\,d\,b\,c\right)}{6\,a^3}+\frac{7\,x\,\left(8\,b^2\,c^5+7\,a\,b\,c^2\right)}{6\,a^3}+\frac{7\,x^3\,\left(80\,b^2\,c^3\,d^2+7\,a\,b\,d^2\right)}{18\,a^3}+\frac{14\,b^2\,d^5\,x^6}{9\,a^3}+\frac{70\,b^2\,c^2\,d^3\,x^4}{3\,a^3}+\frac{28\,b^2\,c\,d^4\,x^5}{3\,a^3}}{x^4\,\left(35\,b^2\,c^3\,d^4+2\,a\,b\,d^4\right)+x\,\left(d\,a^2+8\,d\,a\,b\,c^3+7\,d\,b^2\,c^6\right)+a^2\,c+x^3\,\left(35\,b^2\,c^4\,d^3+8\,a\,b\,c\,d^3\right)+b^2\,c^7+x^2\,\left(21\,b^2\,c^5\,d^2+12\,a\,b\,c^2\,d^2\right)+b^2\,d^7\,x^7+2\,a\,b\,c^4+7\,b^2\,c\,d^6\,x^6+21\,b^2\,c^2\,d^5\,x^5}+\frac{14\,b^{1/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x-\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,a^{10/3}\,d}-\frac{14\,b^{1/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,a^{10/3}\,d}","Not used",1,"(14*b^(1/3)*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(27*a^(10/3)*d) - ((18*a^2 + 28*b^2*c^6 + 49*a*b*c^3)/(18*a^3*d) + (7*x^2*(20*b^2*c^4*d + 7*a*b*c*d))/(6*a^3) + (7*x*(8*b^2*c^5 + 7*a*b*c^2))/(6*a^3) + (7*x^3*(80*b^2*c^3*d^2 + 7*a*b*d^2))/(18*a^3) + (14*b^2*d^5*x^6)/(9*a^3) + (70*b^2*c^2*d^3*x^4)/(3*a^3) + (28*b^2*c*d^4*x^5)/(3*a^3))/(x^4*(35*b^2*c^3*d^4 + 2*a*b*d^4) + x*(a^2*d + 7*b^2*c^6*d + 8*a*b*c^3*d) + a^2*c + x^3*(35*b^2*c^4*d^3 + 8*a*b*c*d^3) + b^2*c^7 + x^2*(21*b^2*c^5*d^2 + 12*a*b*c^2*d^2) + b^2*d^7*x^7 + 2*a*b*c^4 + 7*b^2*c*d^6*x^6 + 21*b^2*c^2*d^5*x^5) + (14*b^(1/3)*log(2*b^(1/3)*c - 3^(1/2)*a^(1/3)*1i - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 - 1/2))/(27*a^(10/3)*d) - (14*b^(1/3)*log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 + 1/2))/(27*a^(10/3)*d)","B"
2884,1,520,219,2.687879,"\text{Not used}","int(1/((a + b*(c + d*x)^3)^3*(c + d*x)^3),x)","\frac{20\,b^{2/3}\,\ln\left(a^6\,b^{1/3}\,c-{\left(-a\right)}^{19/3}+a^6\,b^{1/3}\,d\,x\right)}{27\,{\left(-a\right)}^{11/3}\,d}-\frac{\frac{9\,a^2+32\,a\,b\,c^3+20\,b^2\,c^6}{18\,a^3\,d}+\frac{2\,x^2\,\left(25\,d\,b^2\,c^4+8\,a\,d\,b\,c\right)}{3\,a^3}+\frac{4\,x\,\left(5\,b^2\,c^5+4\,a\,b\,c^2\right)}{3\,a^3}+\frac{8\,x^3\,\left(25\,b^2\,c^3\,d^2+2\,a\,b\,d^2\right)}{9\,a^3}+\frac{10\,b^2\,d^5\,x^6}{9\,a^3}+\frac{50\,b^2\,c^2\,d^3\,x^4}{3\,a^3}+\frac{20\,b^2\,c\,d^4\,x^5}{3\,a^3}}{x^5\,\left(56\,b^2\,c^3\,d^5+2\,a\,b\,d^5\right)+x^4\,\left(70\,b^2\,c^4\,d^4+10\,a\,b\,c\,d^4\right)+x\,\left(2\,d\,a^2\,c+10\,d\,a\,b\,c^4+8\,d\,b^2\,c^7\right)+x^2\,\left(a^2\,d^2+20\,a\,b\,c^3\,d^2+28\,b^2\,c^6\,d^2\right)+a^2\,c^2+b^2\,c^8+x^3\,\left(56\,b^2\,c^5\,d^3+20\,a\,b\,c^2\,d^3\right)+b^2\,d^8\,x^8+2\,a\,b\,c^5+8\,b^2\,c\,d^7\,x^7+28\,b^2\,c^2\,d^6\,x^6}+\frac{20\,b^{2/3}\,\ln\left(4860\,a^6\,b^3\,c\,d^5+4860\,a^6\,b^3\,d^6\,x-4860\,{\left(-a\right)}^{19/3}\,b^{8/3}\,d^5\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,{\left(-a\right)}^{11/3}\,d}-\frac{20\,b^{2/3}\,\ln\left(4860\,a^6\,b^3\,c\,d^5+4860\,a^6\,b^3\,d^6\,x+4860\,{\left(-a\right)}^{19/3}\,b^{8/3}\,d^5\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,{\left(-a\right)}^{11/3}\,d}","Not used",1,"(20*b^(2/3)*log(a^6*b^(1/3)*c - (-a)^(19/3) + a^6*b^(1/3)*d*x))/(27*(-a)^(11/3)*d) - ((9*a^2 + 20*b^2*c^6 + 32*a*b*c^3)/(18*a^3*d) + (2*x^2*(25*b^2*c^4*d + 8*a*b*c*d))/(3*a^3) + (4*x*(5*b^2*c^5 + 4*a*b*c^2))/(3*a^3) + (8*x^3*(25*b^2*c^3*d^2 + 2*a*b*d^2))/(9*a^3) + (10*b^2*d^5*x^6)/(9*a^3) + (50*b^2*c^2*d^3*x^4)/(3*a^3) + (20*b^2*c*d^4*x^5)/(3*a^3))/(x^5*(56*b^2*c^3*d^5 + 2*a*b*d^5) + x^4*(70*b^2*c^4*d^4 + 10*a*b*c*d^4) + x*(8*b^2*c^7*d + 2*a^2*c*d + 10*a*b*c^4*d) + x^2*(a^2*d^2 + 28*b^2*c^6*d^2 + 20*a*b*c^3*d^2) + a^2*c^2 + b^2*c^8 + x^3*(56*b^2*c^5*d^3 + 20*a*b*c^2*d^3) + b^2*d^8*x^8 + 2*a*b*c^5 + 8*b^2*c*d^7*x^7 + 28*b^2*c^2*d^6*x^6) + (20*b^(2/3)*log(4860*a^6*b^3*c*d^5 + 4860*a^6*b^3*d^6*x - 4860*(-a)^(19/3)*b^(8/3)*d^5*((3^(1/2)*1i)/2 - 1/2))*((3^(1/2)*1i)/2 - 1/2))/(27*(-a)^(11/3)*d) - (20*b^(2/3)*log(4860*a^6*b^3*c*d^5 + 4860*a^6*b^3*d^6*x + 4860*(-a)^(19/3)*b^(8/3)*d^5*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/(27*(-a)^(11/3)*d)","B"
2885,1,438,101,3.199339,"\text{Not used}","int(1/((a + b*(c + d*x)^3)^3*(c + d*x)^4),x)","\frac{b\,\ln\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}{a^4\,d}-\frac{\frac{2\,a^2+9\,a\,b\,c^3+6\,b^2\,c^6}{6\,a^3\,d}+\frac{3\,x^2\,\left(10\,d\,b^2\,c^4+3\,a\,d\,b\,c\right)}{2\,a^3}+\frac{3\,x\,\left(4\,b^2\,c^5+3\,a\,b\,c^2\right)}{2\,a^3}+\frac{x^3\,\left(40\,b^2\,c^3\,d^2+3\,a\,b\,d^2\right)}{2\,a^3}+\frac{b^2\,d^5\,x^6}{a^3}+\frac{15\,b^2\,c^2\,d^3\,x^4}{a^3}+\frac{6\,b^2\,c\,d^4\,x^5}{a^3}}{x\,\left(3\,d\,a^2\,c^2+12\,d\,a\,b\,c^5+9\,d\,b^2\,c^8\right)+x^6\,\left(84\,b^2\,c^3\,d^6+2\,a\,b\,d^6\right)+x^2\,\left(3\,a^2\,c\,d^2+30\,a\,b\,c^4\,d^2+36\,b^2\,c^7\,d^2\right)+x^5\,\left(126\,b^2\,c^4\,d^5+12\,a\,b\,c\,d^5\right)+x^3\,\left(a^2\,d^3+40\,a\,b\,c^3\,d^3+84\,b^2\,c^6\,d^3\right)+a^2\,c^3+b^2\,c^9+x^4\,\left(126\,b^2\,c^5\,d^4+30\,a\,b\,c^2\,d^4\right)+b^2\,d^9\,x^9+2\,a\,b\,c^6+9\,b^2\,c\,d^8\,x^8+36\,b^2\,c^2\,d^7\,x^7}-\frac{3\,b\,\ln\left(c+d\,x\right)}{a^4\,d}","Not used",1,"(b*log(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2))/(a^4*d) - ((2*a^2 + 6*b^2*c^6 + 9*a*b*c^3)/(6*a^3*d) + (3*x^2*(10*b^2*c^4*d + 3*a*b*c*d))/(2*a^3) + (3*x*(4*b^2*c^5 + 3*a*b*c^2))/(2*a^3) + (x^3*(40*b^2*c^3*d^2 + 3*a*b*d^2))/(2*a^3) + (b^2*d^5*x^6)/a^3 + (15*b^2*c^2*d^3*x^4)/a^3 + (6*b^2*c*d^4*x^5)/a^3)/(x*(3*a^2*c^2*d + 9*b^2*c^8*d + 12*a*b*c^5*d) + x^6*(84*b^2*c^3*d^6 + 2*a*b*d^6) + x^2*(3*a^2*c*d^2 + 36*b^2*c^7*d^2 + 30*a*b*c^4*d^2) + x^5*(126*b^2*c^4*d^5 + 12*a*b*c*d^5) + x^3*(a^2*d^3 + 84*b^2*c^6*d^3 + 40*a*b*c^3*d^3) + a^2*c^3 + b^2*c^9 + x^4*(126*b^2*c^5*d^4 + 30*a*b*c^2*d^4) + b^2*d^9*x^9 + 2*a*b*c^6 + 9*b^2*c*d^8*x^8 + 36*b^2*c^2*d^7*x^7) - (3*b*log(c + d*x))/(a^4*d)","B"
2886,1,151,168,1.695607,"\text{Not used}","int((c*e + d*e*x)^4/(a + b*(c + d*x)^3),x)","\frac{d\,e^4\,x^2}{2\,b}+\frac{c\,e^4\,x}{b}+\frac{a^{2/3}\,e^4\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{3\,b^{5/3}\,d}+\frac{a^{2/3}\,e^4\,\ln\left(a^{1/3}-2\,b^{1/3}\,c-2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{b^{5/3}\,d}-\frac{a^{2/3}\,e^4\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,b^{5/3}\,d}","Not used",1,"(d*e^4*x^2)/(2*b) + (c*e^4*x)/b + (a^(2/3)*e^4*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(3*b^(5/3)*d) + (a^(2/3)*e^4*log(3^(1/2)*a^(1/3)*1i - 2*b^(1/3)*c + a^(1/3) - 2*b^(1/3)*d*x)*((3^(1/2)*1i)/6 - 1/6))/(b^(5/3)*d) - (a^(2/3)*e^4*log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 + 1/2))/(3*b^(5/3)*d)","B"
2887,1,162,156,1.516346,"\text{Not used}","int((c*e + d*e*x)^3/(a + b*(c + d*x)^3),x)","\frac{e^3\,x}{b}+\frac{{\left(-a\right)}^{1/3}\,e^3\,\ln\left({\left(-a\right)}^{4/3}+a\,b^{1/3}\,c+a\,b^{1/3}\,d\,x\right)}{3\,b^{4/3}\,d}-\frac{{\left(-a\right)}^{1/3}\,e^3\,\ln\left(2\,a\,b^{1/3}\,c-{\left(-a\right)}^{4/3}+2\,a\,b^{1/3}\,d\,x-\sqrt{3}\,{\left(-a\right)}^{4/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,b^{4/3}\,d}+\frac{{\left(-a\right)}^{1/3}\,e^3\,\ln\left(2\,a\,b^{1/3}\,c-{\left(-a\right)}^{4/3}+2\,a\,b^{1/3}\,d\,x+\sqrt{3}\,{\left(-a\right)}^{4/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{b^{4/3}\,d}","Not used",1,"(e^3*x)/b + ((-a)^(1/3)*e^3*log((-a)^(4/3) + a*b^(1/3)*c + a*b^(1/3)*d*x))/(3*b^(4/3)*d) - ((-a)^(1/3)*e^3*log(2*a*b^(1/3)*c - 3^(1/2)*(-a)^(4/3)*1i - (-a)^(4/3) + 2*a*b^(1/3)*d*x)*((3^(1/2)*1i)/2 + 1/2))/(3*b^(4/3)*d) + ((-a)^(1/3)*e^3*log(3^(1/2)*(-a)^(4/3)*1i - (-a)^(4/3) + 2*a*b^(1/3)*c + 2*a*b^(1/3)*d*x)*((3^(1/2)*1i)/6 - 1/6))/(b^(4/3)*d)","B"
2888,1,45,25,1.411361,"\text{Not used}","int((c*e + d*e*x)^2/(a + b*(c + d*x)^3),x)","\frac{e^2\,\ln\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}{3\,b\,d}","Not used",1,"(e^2*log(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2))/(3*b*d)","B"
2889,1,127,143,0.521173,"\text{Not used}","int((c*e + d*e*x)/(a + b*(c + d*x)^3),x)","-\frac{e\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{3\,a^{1/3}\,b^{2/3}\,d}+\frac{\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x-\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(e-\sqrt{3}\,e\,1{}\mathrm{i}\right)}{6\,a^{1/3}\,b^{2/3}\,d}+\frac{\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(e+\sqrt{3}\,e\,1{}\mathrm{i}\right)}{6\,a^{1/3}\,b^{2/3}\,d}","Not used",1,"(log(2*b^(1/3)*c - 3^(1/2)*a^(1/3)*1i - a^(1/3) + 2*b^(1/3)*d*x)*(e - 3^(1/2)*e*1i))/(6*a^(1/3)*b^(2/3)*d) - (e*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(3*a^(1/3)*b^(2/3)*d) + (log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*(e + 3^(1/2)*e*1i))/(6*a^(1/3)*b^(2/3)*d)","B"
2890,1,62,42,0.139216,"\text{Not used}","int(1/((c*e + d*e*x)*(a + b*(c + d*x)^3)),x)","\frac{\ln\left(c+d\,x\right)}{a\,d\,e}-\frac{\ln\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}{3\,a\,d\,e}","Not used",1,"log(c + d*x)/(a*d*e) - log(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2)/(3*a*d*e)","B"
2891,1,154,166,1.585454,"\text{Not used}","int(1/((c*e + d*e*x)^2*(a + b*(c + d*x)^3)),x)","\frac{b^{1/3}\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{3\,a^{4/3}\,d\,e^2}-\frac{1}{a\,d\,\left(c\,e^2+d\,e^2\,x\right)}-\frac{b^{1/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,a^{4/3}\,d\,e^2}+\frac{b^{1/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x-\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{a^{4/3}\,d\,e^2}","Not used",1,"(b^(1/3)*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(3*a^(4/3)*d*e^2) - 1/(a*d*(c*e^2 + d*e^2*x)) - (b^(1/3)*log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 + 1/2))/(3*a^(4/3)*d*e^2) + (b^(1/3)*log(2*b^(1/3)*c - 3^(1/2)*a^(1/3)*1i - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/6 - 1/6))/(a^(4/3)*d*e^2)","B"
2892,1,200,168,0.421486,"\text{Not used}","int(1/((c*e + d*e*x)^3*(a + b*(c + d*x)^3)),x)","\frac{b^{2/3}\,\ln\left(a^2\,b^{1/3}\,c-{\left(-a\right)}^{7/3}+a^2\,b^{1/3}\,d\,x\right)}{3\,{\left(-a\right)}^{5/3}\,d\,e^3}-\frac{1}{2\,a\,d\,\left(c^2\,e^3+2\,c\,d\,e^3\,x+d^2\,e^3\,x^2\right)}-\frac{b^{2/3}\,\ln\left({\left(-a\right)}^{7/3}+2\,a^2\,b^{1/3}\,c+2\,a^2\,b^{1/3}\,d\,x+\sqrt{3}\,{\left(-a\right)}^{7/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,{\left(-a\right)}^{5/3}\,d\,e^3}+\frac{b^{2/3}\,\ln\left({\left(-a\right)}^{7/3}+2\,a^2\,b^{1/3}\,c+2\,a^2\,b^{1/3}\,d\,x-\sqrt{3}\,{\left(-a\right)}^{7/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)}{{\left(-a\right)}^{5/3}\,d\,e^3}","Not used",1,"(b^(2/3)*log(a^2*b^(1/3)*c - (-a)^(7/3) + a^2*b^(1/3)*d*x))/(3*(-a)^(5/3)*d*e^3) - 1/(2*a*d*(c^2*e^3 + d^2*e^3*x^2 + 2*c*d*e^3*x)) - (b^(2/3)*log((-a)^(7/3) + 3^(1/2)*(-a)^(7/3)*1i + 2*a^2*b^(1/3)*c + 2*a^2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 + 1/2))/(3*(-a)^(5/3)*d*e^3) + (b^(2/3)*log((-a)^(7/3) - 3^(1/2)*(-a)^(7/3)*1i + 2*a^2*b^(1/3)*c + 2*a^2*b^(1/3)*d*x)*((3^(1/2)*1i)/6 - 1/6))/((-a)^(5/3)*d*e^3)","B"
2893,1,118,65,1.442912,"\text{Not used}","int(1/((c*e + d*e*x)^4*(a + b*(c + d*x)^3)),x)","\frac{b\,\ln\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}{3\,a^2\,d\,e^4}-\frac{1}{3\,\left(a\,c^3\,d\,e^4+3\,a\,c^2\,d^2\,e^4\,x+3\,a\,c\,d^3\,e^4\,x^2+a\,d^4\,e^4\,x^3\right)}-\frac{b\,\ln\left(c+d\,x\right)}{a^2\,d\,e^4}","Not used",1,"(b*log(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2))/(3*a^2*d*e^4) - 1/(3*(a*d^4*e^4*x^3 + a*c^3*d*e^4 + 3*a*c^2*d^2*e^4*x + 3*a*c*d^3*e^4*x^2)) - (b*log(c + d*x))/(a^2*d*e^4)","B"
2894,1,266,184,1.558968,"\text{Not used}","int((c*e + d*e*x)^4/(a + b*(c + d*x)^3)^2,x)","\frac{2\,e^4\,\ln\left(b^{1/3}\,c-{\left(-a\right)}^{1/3}+b^{1/3}\,d\,x\right)}{9\,{\left(-a\right)}^{1/3}\,b^{5/3}\,d}-\frac{\frac{d\,e^4\,x^2}{3\,b}+\frac{c^2\,e^4}{3\,b\,d}+\frac{2\,c\,e^4\,x}{3\,b}}{b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a}-\frac{\ln\left(\frac{4\,c\,d^4\,e^8}{9\,b}-\frac{{\left(-a\right)}^{1/3}\,d^4\,{\left(e^4+\sqrt{3}\,e^4\,1{}\mathrm{i}\right)}^2}{9\,b^{4/3}}+\frac{4\,d^5\,e^8\,x}{9\,b}\right)\,\left(e^4+\sqrt{3}\,e^4\,1{}\mathrm{i}\right)}{9\,{\left(-a\right)}^{1/3}\,b^{5/3}\,d}+\frac{e^4\,\ln\left(\frac{4\,c\,d^4\,e^8}{9\,b}+\frac{4\,d^5\,e^8\,x}{9\,b}-\frac{9\,{\left(-a\right)}^{1/3}\,d^4\,e^8\,{\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}^2}{b^{4/3}}\right)\,\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}{{\left(-a\right)}^{1/3}\,b^{5/3}\,d}","Not used",1,"(2*e^4*log(b^(1/3)*c - (-a)^(1/3) + b^(1/3)*d*x))/(9*(-a)^(1/3)*b^(5/3)*d) - ((d*e^4*x^2)/(3*b) + (c^2*e^4)/(3*b*d) + (2*c*e^4*x)/(3*b))/(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2) - (log((4*c*d^4*e^8)/(9*b) - ((-a)^(1/3)*d^4*(3^(1/2)*e^4*1i + e^4)^2)/(9*b^(4/3)) + (4*d^5*e^8*x)/(9*b))*(3^(1/2)*e^4*1i + e^4))/(9*(-a)^(1/3)*b^(5/3)*d) + (e^4*log((4*c*d^4*e^8)/(9*b) + (4*d^5*e^8*x)/(9*b) - (9*(-a)^(1/3)*d^4*e^8*((3^(1/2)*1i)/9 - 1/9)^2)/b^(4/3))*((3^(1/2)*1i)/9 - 1/9))/((-a)^(1/3)*b^(5/3)*d)","B"
2895,1,194,182,0.339883,"\text{Not used}","int((c*e + d*e*x)^3/(a + b*(c + d*x)^3)^2,x)","\frac{e^3\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{9\,a^{2/3}\,b^{4/3}\,d}-\frac{\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x-\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(e^3+\sqrt{3}\,e^3\,1{}\mathrm{i}\right)}{18\,a^{2/3}\,b^{4/3}\,d}-\frac{\frac{e^3\,x}{3\,b}+\frac{c\,e^3}{3\,b\,d}}{b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a}+\frac{e^3\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{2/3}\,b^{4/3}\,d}","Not used",1,"(e^3*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(9*a^(2/3)*b^(4/3)*d) - (log(2*b^(1/3)*c - 3^(1/2)*a^(1/3)*1i - a^(1/3) + 2*b^(1/3)*d*x)*(3^(1/2)*e^3*1i + e^3))/(18*a^(2/3)*b^(4/3)*d) - ((e^3*x)/(3*b) + (c*e^3)/(3*b*d))/(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2) + (e^3*log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 - 1/2))/(9*a^(2/3)*b^(4/3)*d)","B"
2896,1,46,26,1.254206,"\text{Not used}","int((c*e + d*e*x)^2/(a + b*(c + d*x)^3)^2,x)","-\frac{e^2}{3\,b\,d\,\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}","Not used",1,"-e^2/(3*b*d*(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2))","B"
2897,1,192,176,0.321462,"\text{Not used}","int((c*e + d*e*x)/(a + b*(c + d*x)^3)^2,x)","\frac{\frac{c^2\,e}{3\,a\,d}+\frac{2\,c\,e\,x}{3\,a}+\frac{d\,e\,x^2}{3\,a}}{b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a}-\frac{e\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{9\,a^{4/3}\,b^{2/3}\,d}+\frac{\ln\left(a^{1/3}-2\,b^{1/3}\,c-2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(e-\sqrt{3}\,e\,1{}\mathrm{i}\right)}{18\,a^{4/3}\,b^{2/3}\,d}+\frac{\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(e+\sqrt{3}\,e\,1{}\mathrm{i}\right)}{18\,a^{4/3}\,b^{2/3}\,d}","Not used",1,"((c^2*e)/(3*a*d) + (2*c*e*x)/(3*a) + (d*e*x^2)/(3*a))/(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2) - (e*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(9*a^(4/3)*b^(2/3)*d) + (log(3^(1/2)*a^(1/3)*1i - 2*b^(1/3)*c + a^(1/3) - 2*b^(1/3)*d*x)*(e - 3^(1/2)*e*1i))/(18*a^(4/3)*b^(2/3)*d) + (log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*(e + 3^(1/2)*e*1i))/(18*a^(4/3)*b^(2/3)*d)","B"
2898,1,116,68,1.385585,"\text{Not used}","int(1/((c*e + d*e*x)*(a + b*(c + d*x)^3)^2),x)","\frac{1}{3\,\left(e\,a^2\,d+b\,e\,a\,c^3\,d+3\,b\,e\,a\,c^2\,d^2\,x+3\,b\,e\,a\,c\,d^3\,x^2+b\,e\,a\,d^4\,x^3\right)}+\frac{\ln\left(c+d\,x\right)}{a^2\,d\,e}-\frac{\ln\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}{3\,a^2\,d\,e}","Not used",1,"1/(3*(a^2*d*e + a*b*d^4*e*x^3 + a*b*c^3*d*e + 3*a*b*c^2*d^2*e*x + 3*a*b*c*d^3*e*x^2)) + log(c + d*x)/(a^2*d*e) - log(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2)/(3*a^2*d*e)","B"
2899,1,261,204,1.849961,"\text{Not used}","int(1/((c*e + d*e*x)^2*(a + b*(c + d*x)^3)^2),x)","\frac{4\,b^{1/3}\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{9\,a^{7/3}\,d\,e^2}-\frac{\frac{4\,b\,c^3+3\,a}{3\,a^2\,d}+\frac{4\,b\,d^2\,x^3}{3\,a^2}+\frac{4\,b\,c^2\,x}{a^2}+\frac{4\,b\,c\,d\,x^2}{a^2}}{x\,\left(4\,b\,d\,c^3\,e^2+a\,d\,e^2\right)+b\,c^4\,e^2+a\,c\,e^2+b\,d^4\,e^2\,x^4+4\,b\,c\,d^3\,e^2\,x^3+6\,b\,c^2\,d^2\,e^2\,x^2}-\frac{4\,b^{1/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{7/3}\,d\,e^2}+\frac{b^{1/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x-\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{2}{9}+\frac{\sqrt{3}\,2{}\mathrm{i}}{9}\right)}{a^{7/3}\,d\,e^2}","Not used",1,"(4*b^(1/3)*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(9*a^(7/3)*d*e^2) - ((3*a + 4*b*c^3)/(3*a^2*d) + (4*b*d^2*x^3)/(3*a^2) + (4*b*c^2*x)/a^2 + (4*b*c*d*x^2)/a^2)/(x*(a*d*e^2 + 4*b*c^3*d*e^2) + b*c^4*e^2 + a*c*e^2 + b*d^4*e^2*x^4 + 4*b*c*d^3*e^2*x^3 + 6*b*c^2*d^2*e^2*x^2) - (4*b^(1/3)*log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 + 1/2))/(9*a^(7/3)*d*e^2) + (b^(1/3)*log(2*b^(1/3)*c - 3^(1/2)*a^(1/3)*1i - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*2i)/9 - 2/9))/(a^(7/3)*d*e^2)","B"
2900,1,291,204,2.099550,"\text{Not used}","int(1/((c*e + d*e*x)^3*(a + b*(c + d*x)^3)^2),x)","-\frac{\frac{5\,b\,c^3+3\,a}{6\,a^2\,d}+\frac{5\,b\,d^2\,x^3}{6\,a^2}+\frac{5\,b\,c^2\,x}{2\,a^2}+\frac{5\,b\,c\,d\,x^2}{2\,a^2}}{x\,\left(5\,b\,d\,c^4\,e^3+2\,a\,d\,c\,e^3\right)+x^2\,\left(10\,b\,c^3\,d^2\,e^3+a\,d^2\,e^3\right)+a\,c^2\,e^3+b\,c^5\,e^3+b\,d^5\,e^3\,x^5+5\,b\,c\,d^4\,e^3\,x^4+10\,b\,c^2\,d^3\,e^3\,x^3}-\frac{5\,b^{2/3}\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{9\,a^{8/3}\,d\,e^3}+\frac{5\,b^{2/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x-\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{8/3}\,d\,e^3}-\frac{5\,b^{2/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{9\,a^{8/3}\,d\,e^3}","Not used",1,"(5*b^(2/3)*log(2*b^(1/3)*c - 3^(1/2)*a^(1/3)*1i - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 + 1/2))/(9*a^(8/3)*d*e^3) - (5*b^(2/3)*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(9*a^(8/3)*d*e^3) - ((3*a + 5*b*c^3)/(6*a^2*d) + (5*b*d^2*x^3)/(6*a^2) + (5*b*c^2*x)/(2*a^2) + (5*b*c*d*x^2)/(2*a^2))/(x*(2*a*c*d*e^3 + 5*b*c^4*d*e^3) + x^2*(a*d^2*e^3 + 10*b*c^3*d^2*e^3) + a*c^2*e^3 + b*c^5*e^3 + b*d^5*e^3*x^5 + 5*b*c*d^4*e^3*x^4 + 10*b*c^2*d^3*e^3*x^3) - (5*b^(2/3)*log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 - 1/2))/(9*a^(8/3)*d*e^3)","B"
2901,1,250,92,1.977297,"\text{Not used}","int(1/((c*e + d*e*x)^4*(a + b*(c + d*x)^3)^2),x)","\frac{2\,b\,\ln\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}{3\,a^3\,d\,e^4}-\frac{\frac{2\,b\,c^3+a}{3\,a^2\,d}+\frac{2\,b\,d^2\,x^3}{3\,a^2}+\frac{2\,b\,c^2\,x}{a^2}+\frac{2\,b\,c\,d\,x^2}{a^2}}{x^2\,\left(15\,b\,c^4\,d^2\,e^4+3\,a\,c\,d^2\,e^4\right)+x\,\left(6\,b\,d\,c^5\,e^4+3\,a\,d\,c^2\,e^4\right)+x^3\,\left(20\,b\,c^3\,d^3\,e^4+a\,d^3\,e^4\right)+a\,c^3\,e^4+b\,c^6\,e^4+b\,d^6\,e^4\,x^6+6\,b\,c\,d^5\,e^4\,x^5+15\,b\,c^2\,d^4\,e^4\,x^4}-\frac{2\,b\,\ln\left(c+d\,x\right)}{a^3\,d\,e^4}","Not used",1,"(2*b*log(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2))/(3*a^3*d*e^4) - ((a + 2*b*c^3)/(3*a^2*d) + (2*b*d^2*x^3)/(3*a^2) + (2*b*c^2*x)/a^2 + (2*b*c*d*x^2)/a^2)/(x^2*(15*b*c^4*d^2*e^4 + 3*a*c*d^2*e^4) + x*(3*a*c^2*d*e^4 + 6*b*c^5*d*e^4) + x^3*(a*d^3*e^4 + 20*b*c^3*d^3*e^4) + a*c^3*e^4 + b*c^6*e^4 + b*d^6*e^4*x^6 + 6*b*c*d^5*e^4*x^5 + 15*b*c^2*d^4*e^4*x^4) - (2*b*log(c + d*x))/(a^3*d*e^4)","B"
2902,1,430,220,1.857453,"\text{Not used}","int((c*e + d*e*x)^4/(a + b*(c + d*x)^3)^3,x)","\frac{\frac{d^4\,e^4\,x^5}{9\,a}-\frac{a\,c^2\,e^4-2\,b\,c^5\,e^4}{18\,a\,b\,d}+\frac{10\,c^2\,d^2\,e^4\,x^3}{9\,a}+\frac{5\,c\,d^3\,e^4\,x^4}{9\,a}-\frac{c\,x\,\left(a\,e^4-5\,b\,c^3\,e^4\right)}{9\,a\,b}-\frac{d\,e^4\,x^2\,\left(a-20\,b\,c^3\right)}{18\,a\,b}}{x^3\,\left(20\,b^2\,c^3\,d^3+2\,a\,b\,d^3\right)+x^2\,\left(15\,b^2\,c^4\,d^2+6\,a\,b\,c\,d^2\right)+a^2+x\,\left(6\,d\,b^2\,c^5+6\,a\,d\,b\,c^2\right)+b^2\,c^6+b^2\,d^6\,x^6+2\,a\,b\,c^3+6\,b^2\,c\,d^5\,x^5+15\,b^2\,c^2\,d^4\,x^4}-\frac{\ln\left(2\,{\left(-b\right)}^{4/3}\,c-a^{1/3}\,b+2\,{\left(-b\right)}^{4/3}\,d\,x+\sqrt{3}\,a^{1/3}\,b\,1{}\mathrm{i}\right)\,\left(e^4+\sqrt{3}\,e^4\,1{}\mathrm{i}\right)}{54\,a^{4/3}\,{\left(-b\right)}^{5/3}\,d}+\frac{e^4\,\ln\left(a^{1/3}\,b+{\left(-b\right)}^{4/3}\,c+{\left(-b\right)}^{4/3}\,d\,x\right)}{27\,a^{4/3}\,{\left(-b\right)}^{5/3}\,d}+\frac{e^4\,\ln\left(\frac{d^4\,e^8\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{81\,a^{5/3}\,{\left(-b\right)}^{4/3}}+\frac{c\,d^4\,e^8}{81\,a^2\,b}+\frac{d^5\,e^8\,x}{81\,a^2\,b}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,a^{4/3}\,{\left(-b\right)}^{5/3}\,d}","Not used",1,"((d^4*e^4*x^5)/(9*a) - (a*c^2*e^4 - 2*b*c^5*e^4)/(18*a*b*d) + (10*c^2*d^2*e^4*x^3)/(9*a) + (5*c*d^3*e^4*x^4)/(9*a) - (c*x*(a*e^4 - 5*b*c^3*e^4))/(9*a*b) - (d*e^4*x^2*(a - 20*b*c^3))/(18*a*b))/(x^3*(20*b^2*c^3*d^3 + 2*a*b*d^3) + x^2*(15*b^2*c^4*d^2 + 6*a*b*c*d^2) + a^2 + x*(6*b^2*c^5*d + 6*a*b*c^2*d) + b^2*c^6 + b^2*d^6*x^6 + 2*a*b*c^3 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4) - (log(2*(-b)^(4/3)*c - a^(1/3)*b + 2*(-b)^(4/3)*d*x + 3^(1/2)*a^(1/3)*b*1i)*(3^(1/2)*e^4*1i + e^4))/(54*a^(4/3)*(-b)^(5/3)*d) + (e^4*log(a^(1/3)*b + (-b)^(4/3)*c + (-b)^(4/3)*d*x))/(27*a^(4/3)*(-b)^(5/3)*d) + (e^4*log((d^4*e^8*((3^(1/2)*1i)/2 - 1/2)^2)/(81*a^(5/3)*(-b)^(4/3)) + (c*d^4*e^8)/(81*a^2*b) + (d^5*e^8*x)/(81*a^2*b))*((3^(1/2)*1i)/2 - 1/2))/(27*a^(4/3)*(-b)^(5/3)*d)","B"
2903,1,349,216,1.673354,"\text{Not used}","int((c*e + d*e*x)^3/(a + b*(c + d*x)^3)^3,x)","\frac{\frac{b\,c^4\,e^3-2\,a\,c\,e^3}{18\,a\,b\,d}+\frac{d^3\,e^3\,x^4}{18\,a}-\frac{e^3\,x\,\left(a-2\,b\,c^3\right)}{9\,a\,b}+\frac{c^2\,d\,e^3\,x^2}{3\,a}+\frac{2\,c\,d^2\,e^3\,x^3}{9\,a}}{x^3\,\left(20\,b^2\,c^3\,d^3+2\,a\,b\,d^3\right)+x^2\,\left(15\,b^2\,c^4\,d^2+6\,a\,b\,c\,d^2\right)+a^2+x\,\left(6\,d\,b^2\,c^5+6\,a\,d\,b\,c^2\right)+b^2\,c^6+b^2\,d^6\,x^6+2\,a\,b\,c^3+6\,b^2\,c\,d^5\,x^5+15\,b^2\,c^2\,d^4\,x^4}+\frac{e^3\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{27\,a^{5/3}\,b^{4/3}\,d}-\frac{\ln\left(a^{1/3}-2\,b^{1/3}\,c-2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(e^3+\sqrt{3}\,e^3\,1{}\mathrm{i}\right)}{54\,a^{5/3}\,b^{4/3}\,d}+\frac{e^3\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,a^{5/3}\,b^{4/3}\,d}","Not used",1,"((b*c^4*e^3 - 2*a*c*e^3)/(18*a*b*d) + (d^3*e^3*x^4)/(18*a) - (e^3*x*(a - 2*b*c^3))/(9*a*b) + (c^2*d*e^3*x^2)/(3*a) + (2*c*d^2*e^3*x^3)/(9*a))/(x^3*(20*b^2*c^3*d^3 + 2*a*b*d^3) + x^2*(15*b^2*c^4*d^2 + 6*a*b*c*d^2) + a^2 + x*(6*b^2*c^5*d + 6*a*b*c^2*d) + b^2*c^6 + b^2*d^6*x^6 + 2*a*b*c^3 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4) + (e^3*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(27*a^(5/3)*b^(4/3)*d) - (log(3^(1/2)*a^(1/3)*1i - 2*b^(1/3)*c + a^(1/3) - 2*b^(1/3)*d*x)*(3^(1/2)*e^3*1i + e^3))/(54*a^(5/3)*b^(4/3)*d) + (e^3*log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 - 1/2))/(27*a^(5/3)*b^(4/3)*d)","B"
2904,1,134,26,1.357304,"\text{Not used}","int((c*e + d*e*x)^2/(a + b*(c + d*x)^3)^3,x)","-\frac{e^2}{6\,b\,d\,\left(x^3\,\left(20\,b^2\,c^3\,d^3+2\,a\,b\,d^3\right)+x^2\,\left(15\,b^2\,c^4\,d^2+6\,a\,b\,c\,d^2\right)+a^2+x\,\left(6\,d\,b^2\,c^5+6\,a\,d\,b\,c^2\right)+b^2\,c^6+b^2\,d^6\,x^6+2\,a\,b\,c^3+6\,b^2\,c\,d^5\,x^5+15\,b^2\,c^2\,d^4\,x^4\right)}","Not used",1,"-e^2/(6*b*d*(x^3*(20*b^2*c^3*d^3 + 2*a*b*d^3) + x^2*(15*b^2*c^4*d^2 + 6*a*b*c*d^2) + a^2 + x*(6*b^2*c^5*d + 6*a*b*c^2*d) + b^2*c^6 + b^2*d^6*x^6 + 2*a*b*c^3 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4))","B"
2905,1,357,207,0.500348,"\text{Not used}","int((c*e + d*e*x)/(a + b*(c + d*x)^3)^3,x)","\frac{\frac{4\,b\,e\,c^5+7\,a\,e\,c^2}{18\,a^2\,d}+\frac{x^2\,\left(40\,b\,d\,e\,c^3+7\,a\,d\,e\right)}{18\,a^2}+\frac{c\,x\,\left(10\,b\,e\,c^3+7\,a\,e\right)}{9\,a^2}+\frac{2\,b\,d^4\,e\,x^5}{9\,a^2}+\frac{20\,b\,c^2\,d^2\,e\,x^3}{9\,a^2}+\frac{10\,b\,c\,d^3\,e\,x^4}{9\,a^2}}{x^3\,\left(20\,b^2\,c^3\,d^3+2\,a\,b\,d^3\right)+x^2\,\left(15\,b^2\,c^4\,d^2+6\,a\,b\,c\,d^2\right)+a^2+x\,\left(6\,d\,b^2\,c^5+6\,a\,d\,b\,c^2\right)+b^2\,c^6+b^2\,d^6\,x^6+2\,a\,b\,c^3+6\,b^2\,c\,d^5\,x^5+15\,b^2\,c^2\,d^4\,x^4}-\frac{2\,e\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{27\,a^{7/3}\,b^{2/3}\,d}+\frac{\ln\left(a^{1/3}-2\,b^{1/3}\,c-2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(e-\sqrt{3}\,e\,1{}\mathrm{i}\right)}{27\,a^{7/3}\,b^{2/3}\,d}+\frac{\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(e+\sqrt{3}\,e\,1{}\mathrm{i}\right)}{27\,a^{7/3}\,b^{2/3}\,d}","Not used",1,"((7*a*c^2*e + 4*b*c^5*e)/(18*a^2*d) + (x^2*(7*a*d*e + 40*b*c^3*d*e))/(18*a^2) + (c*x*(7*a*e + 10*b*c^3*e))/(9*a^2) + (2*b*d^4*e*x^5)/(9*a^2) + (20*b*c^2*d^2*e*x^3)/(9*a^2) + (10*b*c*d^3*e*x^4)/(9*a^2))/(x^3*(20*b^2*c^3*d^3 + 2*a*b*d^3) + x^2*(15*b^2*c^4*d^2 + 6*a*b*c*d^2) + a^2 + x*(6*b^2*c^5*d + 6*a*b*c^2*d) + b^2*c^6 + b^2*d^6*x^6 + 2*a*b*c^3 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4) - (2*e*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(27*a^(7/3)*b^(2/3)*d) + (log(3^(1/2)*a^(1/3)*1i - 2*b^(1/3)*c + a^(1/3) - 2*b^(1/3)*d*x)*(e - 3^(1/2)*e*1i))/(27*a^(7/3)*b^(2/3)*d) + (log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*(e + 3^(1/2)*e*1i))/(27*a^(7/3)*b^(2/3)*d)","B"
2906,1,249,94,1.911335,"\text{Not used}","int(1/((c*e + d*e*x)*(a + b*(c + d*x)^3)^3),x)","\frac{\frac{2\,b\,c^3+3\,a}{6\,a^2\,d}+\frac{b\,d^2\,x^3}{3\,a^2}+\frac{b\,c^2\,x}{a^2}+\frac{b\,c\,d\,x^2}{a^2}}{x^2\,\left(15\,e\,b^2\,c^4\,d^2+6\,a\,e\,b\,c\,d^2\right)+a^2\,e+x\,\left(6\,d\,e\,b^2\,c^5+6\,a\,d\,e\,b\,c^2\right)+x^3\,\left(20\,e\,b^2\,c^3\,d^3+2\,a\,e\,b\,d^3\right)+b^2\,c^6\,e+b^2\,d^6\,e\,x^6+2\,a\,b\,c^3\,e+6\,b^2\,c\,d^5\,e\,x^5+15\,b^2\,c^2\,d^4\,e\,x^4}+\frac{\ln\left(c+d\,x\right)}{a^3\,d\,e}-\frac{\ln\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}{3\,a^3\,d\,e}","Not used",1,"((3*a + 2*b*c^3)/(6*a^2*d) + (b*d^2*x^3)/(3*a^2) + (b*c^2*x)/a^2 + (b*c*d*x^2)/a^2)/(x^2*(15*b^2*c^4*d^2*e + 6*a*b*c*d^2*e) + a^2*e + x*(6*b^2*c^5*d*e + 6*a*b*c^2*d*e) + x^3*(20*b^2*c^3*d^3*e + 2*a*b*d^3*e) + b^2*c^6*e + b^2*d^6*e*x^6 + 2*a*b*c^3*e + 6*b^2*c*d^5*e*x^5 + 15*b^2*c^2*d^4*e*x^4) + log(c + d*x)/(a^3*d*e) - log(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2)/(3*a^3*d*e)","B"
2907,1,485,237,2.599537,"\text{Not used}","int(1/((c*e + d*e*x)^2*(a + b*(c + d*x)^3)^3),x)","\frac{14\,b^{1/3}\,\ln\left(b^{1/3}\,c+a^{1/3}+b^{1/3}\,d\,x\right)}{27\,a^{10/3}\,d\,e^2}-\frac{\frac{18\,a^2+49\,a\,b\,c^3+28\,b^2\,c^6}{18\,a^3\,d}+\frac{7\,x^2\,\left(20\,d\,b^2\,c^4+7\,a\,d\,b\,c\right)}{6\,a^3}+\frac{7\,x\,\left(8\,b^2\,c^5+7\,a\,b\,c^2\right)}{6\,a^3}+\frac{7\,x^3\,\left(80\,b^2\,c^3\,d^2+7\,a\,b\,d^2\right)}{18\,a^3}+\frac{14\,b^2\,d^5\,x^6}{9\,a^3}+\frac{70\,b^2\,c^2\,d^3\,x^4}{3\,a^3}+\frac{28\,b^2\,c\,d^4\,x^5}{3\,a^3}}{x^3\,\left(35\,b^2\,c^4\,d^3\,e^2+8\,a\,b\,c\,d^3\,e^2\right)+x^2\,\left(21\,b^2\,c^5\,d^2\,e^2+12\,a\,b\,c^2\,d^2\,e^2\right)+x\,\left(d\,a^2\,e^2+8\,d\,a\,b\,c^3\,e^2+7\,d\,b^2\,c^6\,e^2\right)+x^4\,\left(35\,b^2\,c^3\,d^4\,e^2+2\,a\,b\,d^4\,e^2\right)+a^2\,c\,e^2+b^2\,c^7\,e^2+b^2\,d^7\,e^2\,x^7+2\,a\,b\,c^4\,e^2+21\,b^2\,c^2\,d^5\,e^2\,x^5+7\,b^2\,c\,d^6\,e^2\,x^6}+\frac{14\,b^{1/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x-\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,a^{10/3}\,d\,e^2}-\frac{14\,b^{1/3}\,\ln\left(2\,b^{1/3}\,c-a^{1/3}+2\,b^{1/3}\,d\,x+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,a^{10/3}\,d\,e^2}","Not used",1,"(14*b^(1/3)*log(b^(1/3)*c + a^(1/3) + b^(1/3)*d*x))/(27*a^(10/3)*d*e^2) - ((18*a^2 + 28*b^2*c^6 + 49*a*b*c^3)/(18*a^3*d) + (7*x^2*(20*b^2*c^4*d + 7*a*b*c*d))/(6*a^3) + (7*x*(8*b^2*c^5 + 7*a*b*c^2))/(6*a^3) + (7*x^3*(80*b^2*c^3*d^2 + 7*a*b*d^2))/(18*a^3) + (14*b^2*d^5*x^6)/(9*a^3) + (70*b^2*c^2*d^3*x^4)/(3*a^3) + (28*b^2*c*d^4*x^5)/(3*a^3))/(x^3*(35*b^2*c^4*d^3*e^2 + 8*a*b*c*d^3*e^2) + x^2*(21*b^2*c^5*d^2*e^2 + 12*a*b*c^2*d^2*e^2) + x*(a^2*d*e^2 + 7*b^2*c^6*d*e^2 + 8*a*b*c^3*d*e^2) + x^4*(35*b^2*c^3*d^4*e^2 + 2*a*b*d^4*e^2) + a^2*c*e^2 + b^2*c^7*e^2 + b^2*d^7*e^2*x^7 + 2*a*b*c^4*e^2 + 21*b^2*c^2*d^5*e^2*x^5 + 7*b^2*c*d^6*e^2*x^6) + (14*b^(1/3)*log(2*b^(1/3)*c - 3^(1/2)*a^(1/3)*1i - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 - 1/2))/(27*a^(10/3)*d*e^2) - (14*b^(1/3)*log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*c - a^(1/3) + 2*b^(1/3)*d*x)*((3^(1/2)*1i)/2 + 1/2))/(27*a^(10/3)*d*e^2)","B"
2908,1,563,237,3.459894,"\text{Not used}","int(1/((c*e + d*e*x)^3*(a + b*(c + d*x)^3)^3),x)","\frac{20\,b^{2/3}\,\ln\left(a^6\,b^{1/3}\,c-{\left(-a\right)}^{19/3}+a^6\,b^{1/3}\,d\,x\right)}{27\,{\left(-a\right)}^{11/3}\,d\,e^3}-\frac{\frac{9\,a^2+32\,a\,b\,c^3+20\,b^2\,c^6}{18\,a^3\,d}+\frac{2\,x^2\,\left(25\,d\,b^2\,c^4+8\,a\,d\,b\,c\right)}{3\,a^3}+\frac{4\,x\,\left(5\,b^2\,c^5+4\,a\,b\,c^2\right)}{3\,a^3}+\frac{8\,x^3\,\left(25\,b^2\,c^3\,d^2+2\,a\,b\,d^2\right)}{9\,a^3}+\frac{10\,b^2\,d^5\,x^6}{9\,a^3}+\frac{50\,b^2\,c^2\,d^3\,x^4}{3\,a^3}+\frac{20\,b^2\,c\,d^4\,x^5}{3\,a^3}}{x^4\,\left(70\,b^2\,c^4\,d^4\,e^3+10\,a\,b\,c\,d^4\,e^3\right)+x^2\,\left(a^2\,d^2\,e^3+20\,a\,b\,c^3\,d^2\,e^3+28\,b^2\,c^6\,d^2\,e^3\right)+x^3\,\left(56\,b^2\,c^5\,d^3\,e^3+20\,a\,b\,c^2\,d^3\,e^3\right)+x^5\,\left(56\,b^2\,c^3\,d^5\,e^3+2\,a\,b\,d^5\,e^3\right)+x\,\left(2\,d\,a^2\,c\,e^3+10\,d\,a\,b\,c^4\,e^3+8\,d\,b^2\,c^7\,e^3\right)+a^2\,c^2\,e^3+b^2\,c^8\,e^3+b^2\,d^8\,e^3\,x^8+2\,a\,b\,c^5\,e^3+28\,b^2\,c^2\,d^6\,e^3\,x^6+8\,b^2\,c\,d^7\,e^3\,x^7}+\frac{20\,b^{2/3}\,\ln\left({\left(-a\right)}^{19/3}+2\,a^6\,b^{1/3}\,c+2\,a^6\,b^{1/3}\,d\,x-\sqrt{3}\,{\left(-a\right)}^{19/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,{\left(-a\right)}^{11/3}\,d\,e^3}-\frac{20\,b^{2/3}\,\ln\left({\left(-a\right)}^{19/3}+2\,a^6\,b^{1/3}\,c+2\,a^6\,b^{1/3}\,d\,x+\sqrt{3}\,{\left(-a\right)}^{19/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{27\,{\left(-a\right)}^{11/3}\,d\,e^3}","Not used",1,"(20*b^(2/3)*log(a^6*b^(1/3)*c - (-a)^(19/3) + a^6*b^(1/3)*d*x))/(27*(-a)^(11/3)*d*e^3) - ((9*a^2 + 20*b^2*c^6 + 32*a*b*c^3)/(18*a^3*d) + (2*x^2*(25*b^2*c^4*d + 8*a*b*c*d))/(3*a^3) + (4*x*(5*b^2*c^5 + 4*a*b*c^2))/(3*a^3) + (8*x^3*(25*b^2*c^3*d^2 + 2*a*b*d^2))/(9*a^3) + (10*b^2*d^5*x^6)/(9*a^3) + (50*b^2*c^2*d^3*x^4)/(3*a^3) + (20*b^2*c*d^4*x^5)/(3*a^3))/(x^4*(70*b^2*c^4*d^4*e^3 + 10*a*b*c*d^4*e^3) + x^2*(a^2*d^2*e^3 + 28*b^2*c^6*d^2*e^3 + 20*a*b*c^3*d^2*e^3) + x^3*(56*b^2*c^5*d^3*e^3 + 20*a*b*c^2*d^3*e^3) + x^5*(56*b^2*c^3*d^5*e^3 + 2*a*b*d^5*e^3) + x*(8*b^2*c^7*d*e^3 + 2*a^2*c*d*e^3 + 10*a*b*c^4*d*e^3) + a^2*c^2*e^3 + b^2*c^8*e^3 + b^2*d^8*e^3*x^8 + 2*a*b*c^5*e^3 + 28*b^2*c^2*d^6*e^3*x^6 + 8*b^2*c*d^7*e^3*x^7) + (20*b^(2/3)*log((-a)^(19/3) - 3^(1/2)*(-a)^(19/3)*1i + 2*a^6*b^(1/3)*c + 2*a^6*b^(1/3)*d*x)*((3^(1/2)*1i)/2 - 1/2))/(27*(-a)^(11/3)*d*e^3) - (20*b^(2/3)*log((-a)^(19/3) + 3^(1/2)*(-a)^(19/3)*1i + 2*a^6*b^(1/3)*c + 2*a^6*b^(1/3)*d*x)*((3^(1/2)*1i)/2 + 1/2))/(27*(-a)^(11/3)*d*e^3)","B"
2909,1,507,116,3.566689,"\text{Not used}","int(1/((c*e + d*e*x)^4*(a + b*(c + d*x)^3)^3),x)","\frac{b\,\ln\left(b\,c^3+3\,b\,c^2\,d\,x+3\,b\,c\,d^2\,x^2+b\,d^3\,x^3+a\right)}{a^4\,d\,e^4}-\frac{\frac{2\,a^2+9\,a\,b\,c^3+6\,b^2\,c^6}{6\,a^3\,d}+\frac{3\,x^2\,\left(10\,d\,b^2\,c^4+3\,a\,d\,b\,c\right)}{2\,a^3}+\frac{3\,x\,\left(4\,b^2\,c^5+3\,a\,b\,c^2\right)}{2\,a^3}+\frac{x^3\,\left(40\,b^2\,c^3\,d^2+3\,a\,b\,d^2\right)}{2\,a^3}+\frac{b^2\,d^5\,x^6}{a^3}+\frac{15\,b^2\,c^2\,d^3\,x^4}{a^3}+\frac{6\,b^2\,c\,d^4\,x^5}{a^3}}{x^5\,\left(126\,b^2\,c^4\,d^5\,e^4+12\,a\,b\,c\,d^5\,e^4\right)+x^3\,\left(a^2\,d^3\,e^4+40\,a\,b\,c^3\,d^3\,e^4+84\,b^2\,c^6\,d^3\,e^4\right)+x\,\left(3\,d\,a^2\,c^2\,e^4+12\,d\,a\,b\,c^5\,e^4+9\,d\,b^2\,c^8\,e^4\right)+x^4\,\left(126\,b^2\,c^5\,d^4\,e^4+30\,a\,b\,c^2\,d^4\,e^4\right)+x^2\,\left(3\,a^2\,c\,d^2\,e^4+30\,a\,b\,c^4\,d^2\,e^4+36\,b^2\,c^7\,d^2\,e^4\right)+x^6\,\left(84\,b^2\,c^3\,d^6\,e^4+2\,a\,b\,d^6\,e^4\right)+a^2\,c^3\,e^4+b^2\,c^9\,e^4+b^2\,d^9\,e^4\,x^9+2\,a\,b\,c^6\,e^4+36\,b^2\,c^2\,d^7\,e^4\,x^7+9\,b^2\,c\,d^8\,e^4\,x^8}-\frac{3\,b\,\ln\left(c+d\,x\right)}{a^4\,d\,e^4}","Not used",1,"(b*log(a + b*c^3 + b*d^3*x^3 + 3*b*c^2*d*x + 3*b*c*d^2*x^2))/(a^4*d*e^4) - ((2*a^2 + 6*b^2*c^6 + 9*a*b*c^3)/(6*a^3*d) + (3*x^2*(10*b^2*c^4*d + 3*a*b*c*d))/(2*a^3) + (3*x*(4*b^2*c^5 + 3*a*b*c^2))/(2*a^3) + (x^3*(40*b^2*c^3*d^2 + 3*a*b*d^2))/(2*a^3) + (b^2*d^5*x^6)/a^3 + (15*b^2*c^2*d^3*x^4)/a^3 + (6*b^2*c*d^4*x^5)/a^3)/(x^5*(126*b^2*c^4*d^5*e^4 + 12*a*b*c*d^5*e^4) + x^3*(a^2*d^3*e^4 + 84*b^2*c^6*d^3*e^4 + 40*a*b*c^3*d^3*e^4) + x*(3*a^2*c^2*d*e^4 + 9*b^2*c^8*d*e^4 + 12*a*b*c^5*d*e^4) + x^4*(126*b^2*c^5*d^4*e^4 + 30*a*b*c^2*d^4*e^4) + x^2*(3*a^2*c*d^2*e^4 + 36*b^2*c^7*d^2*e^4 + 30*a*b*c^4*d^2*e^4) + x^6*(84*b^2*c^3*d^6*e^4 + 2*a*b*d^6*e^4) + a^2*c^3*e^4 + b^2*c^9*e^4 + b^2*d^9*e^4*x^9 + 2*a*b*c^6*e^4 + 36*b^2*c^2*d^7*e^4*x^7 + 9*b^2*c*d^8*e^4*x^8) - (3*b*log(c + d*x))/(a^4*d*e^4)","B"
2910,1,88,30,1.412248,"\text{Not used}","int((a + b*(c + d*x)^4)^p*(c + d*x)^3,x)","{\left(a+b\,{\left(c+d\,x\right)}^4\right)}^p\,\left(\frac{d^3\,x^4}{4\,\left(p+1\right)}+\frac{c^3\,x}{p+1}+\frac{b\,c^4+a}{4\,b\,d\,\left(p+1\right)}+\frac{3\,c^2\,d\,x^2}{2\,\left(p+1\right)}+\frac{c\,d^2\,x^3}{p+1}\right)","Not used",1,"(a + b*(c + d*x)^4)^p*((d^3*x^4)/(4*(p + 1)) + (c^3*x)/(p + 1) + (a + b*c^4)/(4*b*d*(p + 1)) + (3*c^2*d*x^2)/(2*(p + 1)) + (c*d^2*x^3)/(p + 1))","B"
2911,1,107,23,0.055401,"\text{Not used}","int((a + b*(c + d*x)^4)*(c + d*x)^3,x)","x\,\left(b\,c^7+a\,c^3\right)+\frac{d^3\,x^4\,\left(35\,b\,c^4+a\right)}{4}+\frac{b\,d^7\,x^8}{8}+\frac{c^2\,d\,x^2\,\left(7\,b\,c^4+3\,a\right)}{2}+7\,b\,c^3\,d^4\,x^5+\frac{7\,b\,c^2\,d^5\,x^6}{2}+c\,d^2\,x^3\,\left(7\,b\,c^4+a\right)+b\,c\,d^6\,x^7","Not used",1,"x*(a*c^3 + b*c^7) + (d^3*x^4*(a + 35*b*c^4))/4 + (b*d^7*x^8)/8 + (c^2*d*x^2*(3*a + 7*b*c^4))/2 + 7*b*c^3*d^4*x^5 + (7*b*c^2*d^5*x^6)/2 + c*d^2*x^3*(a + 7*b*c^4) + b*c*d^6*x^7","B"
2912,1,229,23,0.150428,"\text{Not used}","int((a + b*(c + d*x)^4)^2*(c + d*x)^3,x)","c^3\,x\,{\left(b\,c^4+a\right)}^2+\frac{b^2\,d^{11}\,x^{12}}{12}+\frac{d^3\,x^4\,\left(a^2+70\,a\,b\,c^4+165\,b^2\,c^8\right)}{4}+b^2\,c\,d^{10}\,x^{11}+\frac{55\,b^2\,c^3\,d^8\,x^9}{3}+\frac{11\,b^2\,c^2\,d^9\,x^{10}}{2}+\frac{b\,d^7\,x^8\,\left(165\,b\,c^4+a\right)}{4}+\frac{c^2\,d\,x^2\,\left(3\,a^2+14\,a\,b\,c^4+11\,b^2\,c^8\right)}{2}+\frac{c\,d^2\,x^3\,\left(3\,a^2+42\,a\,b\,c^4+55\,b^2\,c^8\right)}{3}+2\,b\,c\,d^6\,x^7\,\left(33\,b\,c^4+a\right)+7\,b\,c^2\,d^5\,x^6\,\left(11\,b\,c^4+a\right)+2\,b\,c^3\,d^4\,x^5\,\left(33\,b\,c^4+7\,a\right)","Not used",1,"c^3*x*(a + b*c^4)^2 + (b^2*d^11*x^12)/12 + (d^3*x^4*(a^2 + 165*b^2*c^8 + 70*a*b*c^4))/4 + b^2*c*d^10*x^11 + (55*b^2*c^3*d^8*x^9)/3 + (11*b^2*c^2*d^9*x^10)/2 + (b*d^7*x^8*(a + 165*b*c^4))/4 + (c^2*d*x^2*(3*a^2 + 11*b^2*c^8 + 14*a*b*c^4))/2 + (c*d^2*x^3*(3*a^2 + 55*b^2*c^8 + 42*a*b*c^4))/3 + 2*b*c*d^6*x^7*(a + 33*b*c^4) + 7*b*c^2*d^5*x^6*(a + 11*b*c^4) + 2*b*c^3*d^4*x^5*(7*a + 33*b*c^4)","B"
2913,1,376,23,0.290794,"\text{Not used}","int((a + b*(c + d*x)^4)^3*(c + d*x)^3,x)","c^3\,x\,{\left(b\,c^4+a\right)}^3+\frac{d^3\,x^4\,\left(a^3+105\,a^2\,b\,c^4+495\,a\,b^2\,c^8+455\,b^3\,c^{12}\right)}{4}+\frac{b^3\,d^{15}\,x^{16}}{16}+\frac{b^2\,d^{11}\,x^{12}\,\left(455\,b\,c^4+a\right)}{4}+b^3\,c\,d^{14}\,x^{15}+\frac{3\,b\,d^7\,x^8\,\left(a^2+330\,a\,b\,c^4+2145\,b^2\,c^8\right)}{8}+35\,b^3\,c^3\,d^{12}\,x^{13}+\frac{15\,b^3\,c^2\,d^{13}\,x^{14}}{2}+c\,d^2\,x^3\,\left(a^3+21\,a^2\,b\,c^4+55\,a\,b^2\,c^8+35\,b^3\,c^{12}\right)+b\,c\,d^6\,x^7\,\left(3\,a^2+198\,a\,b\,c^4+715\,b^2\,c^8\right)+\frac{11\,b^2\,c^2\,d^9\,x^{10}\,\left(91\,b\,c^4+3\,a\right)}{2}+\frac{3\,c^2\,d\,x^2\,{\left(b\,c^4+a\right)}^2\,\left(5\,b\,c^4+a\right)}{2}+3\,b^2\,c\,d^{10}\,x^{11}\,\left(91\,b\,c^4+a\right)+3\,b\,c^3\,d^4\,x^5\,\left(7\,a^2+66\,a\,b\,c^4+91\,b^2\,c^8\right)+\frac{7\,b\,c^2\,d^5\,x^6\,\left(3\,a^2+66\,a\,b\,c^4+143\,b^2\,c^8\right)}{2}+55\,b^2\,c^3\,d^8\,x^9\,\left(13\,b\,c^4+a\right)","Not used",1,"c^3*x*(a + b*c^4)^3 + (d^3*x^4*(a^3 + 455*b^3*c^12 + 105*a^2*b*c^4 + 495*a*b^2*c^8))/4 + (b^3*d^15*x^16)/16 + (b^2*d^11*x^12*(a + 455*b*c^4))/4 + b^3*c*d^14*x^15 + (3*b*d^7*x^8*(a^2 + 2145*b^2*c^8 + 330*a*b*c^4))/8 + 35*b^3*c^3*d^12*x^13 + (15*b^3*c^2*d^13*x^14)/2 + c*d^2*x^3*(a^3 + 35*b^3*c^12 + 21*a^2*b*c^4 + 55*a*b^2*c^8) + b*c*d^6*x^7*(3*a^2 + 715*b^2*c^8 + 198*a*b*c^4) + (11*b^2*c^2*d^9*x^10*(3*a + 91*b*c^4))/2 + (3*c^2*d*x^2*(a + b*c^4)^2*(a + 5*b*c^4))/2 + 3*b^2*c*d^10*x^11*(a + 91*b*c^4) + 3*b*c^3*d^4*x^5*(7*a^2 + 91*b^2*c^8 + 66*a*b*c^4) + (7*b*c^2*d^5*x^6*(3*a^2 + 143*b^2*c^8 + 66*a*b*c^4))/2 + 55*b^2*c^3*d^8*x^9*(a + 13*b*c^4)","B"
2914,1,54,22,1.264212,"\text{Not used}","int((c + d*x)^3/(a + b*(c + d*x)^4),x)","\frac{\ln\left(b\,c^4+4\,b\,c^3\,d\,x+6\,b\,c^2\,d^2\,x^2+4\,b\,c\,d^3\,x^3+b\,d^4\,x^4+a\right)}{4\,b\,d}","Not used",1,"log(a + b*c^4 + b*d^4*x^4 + 6*b*c^2*d^2*x^2 + 4*b*c^3*d*x + 4*b*c*d^3*x^3)/(4*b*d)","B"
2915,1,55,23,0.189691,"\text{Not used}","int((c + d*x)^3/(a + b*(c + d*x)^4)^2,x)","-\frac{1}{4\,b\,d\,\left(b\,c^4+4\,b\,c^3\,d\,x+6\,b\,c^2\,d^2\,x^2+4\,b\,c\,d^3\,x^3+b\,d^4\,x^4+a\right)}","Not used",1,"-1/(4*b*d*(a + b*c^4 + b*d^4*x^4 + 6*b*c^2*d^2*x^2 + 4*b*c^3*d*x + 4*b*c*d^3*x^3))","B"
2916,1,171,23,2.352815,"\text{Not used}","int((c + d*x)^3/(a + b*(c + d*x)^4)^3,x)","-\frac{1}{8\,b\,d\,\left(x^4\,\left(70\,b^2\,c^4\,d^4+2\,a\,b\,d^4\right)+x^3\,\left(56\,b^2\,c^5\,d^3+8\,a\,b\,c\,d^3\right)+a^2+x\,\left(8\,d\,b^2\,c^7+8\,a\,d\,b\,c^3\right)+b^2\,c^8+x^2\,\left(28\,b^2\,c^6\,d^2+12\,a\,b\,c^2\,d^2\right)+b^2\,d^8\,x^8+2\,a\,b\,c^4+8\,b^2\,c\,d^7\,x^7+56\,b^2\,c^3\,d^5\,x^5+28\,b^2\,c^2\,d^6\,x^6\right)}","Not used",1,"-1/(8*b*d*(x^4*(70*b^2*c^4*d^4 + 2*a*b*d^4) + x^3*(56*b^2*c^5*d^3 + 8*a*b*c*d^3) + a^2 + x*(8*b^2*c^7*d + 8*a*b*c^3*d) + b^2*c^8 + x^2*(28*b^2*c^6*d^2 + 12*a*b*c^2*d^2) + b^2*d^8*x^8 + 2*a*b*c^4 + 8*b^2*c*d^7*x^7 + 56*b^2*c^3*d^5*x^5 + 28*b^2*c^2*d^6*x^6))","B"
2917,1,56,111,1.670493,"\text{Not used}","int(1/(a + b*(c + d*x)^4)^(1/2),x)","\frac{\sqrt{\frac{b\,{\left(c+d\,x\right)}^4}{a}+1}\,\left(c+d\,x\right)\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{2};\ \frac{5}{4};\ -\frac{b\,{\left(c+d\,x\right)}^4}{a}\right)}{d\,\sqrt{a+b\,{\left(c+d\,x\right)}^4}}","Not used",1,"(((b*(c + d*x)^4)/a + 1)^(1/2)*(c + d*x)*hypergeom([1/4, 1/2], 5/4, -(b*(c + d*x)^4)/a))/(d*(a + b*(c + d*x)^4)^(1/2))","B"
2918,0,-1,154,0.000000,"\text{Not used}","int(x/(a + b*(c + d*x)^4)^(1/2),x)","\int \frac{x}{\sqrt{a+b\,{\left(c+d\,x\right)}^4}} \,d x","Not used",1,"int(x/(a + b*(c + d*x)^4)^(1/2), x)","F"
2919,0,-1,78,0.000000,"\text{Not used}","int((a + b*(c*x)^(3/2))^(1/2)*(d*x)^m,x)","\int \sqrt{a+b\,{\left(c\,x\right)}^{3/2}}\,{\left(d\,x\right)}^m \,d x","Not used",1,"int((a + b*(c*x)^(3/2))^(1/2)*(d*x)^m, x)","F"
2920,0,-1,74,0.000000,"\text{Not used}","int((a + b*(c*x)^(1/2))^(1/2)*(d*x)^m,x)","\int \sqrt{a+b\,\sqrt{c\,x}}\,{\left(d\,x\right)}^m \,d x","Not used",1,"int((a + b*(c*x)^(1/2))^(1/2)*(d*x)^m, x)","F"
2921,0,-1,76,0.000000,"\text{Not used}","int((a + b/(c*x)^(1/2))^(1/2)*(d*x)^m,x)","\int \sqrt{a+\frac{b}{\sqrt{c\,x}}}\,{\left(d\,x\right)}^m \,d x","Not used",1,"int((a + b/(c*x)^(1/2))^(1/2)*(d*x)^m, x)","F"
2922,0,-1,78,0.000000,"\text{Not used}","int((a + b/(c*x)^(3/2))^(1/2)*(d*x)^m,x)","\int \sqrt{a+\frac{b}{{\left(c\,x\right)}^{3/2}}}\,{\left(d\,x\right)}^m \,d x","Not used",1,"int((a + b/(c*x)^(3/2))^(1/2)*(d*x)^m, x)","F"
2923,0,-1,73,0.000000,"\text{Not used}","int((d*x)^m*(a + b*(c*x)^n)^p,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,{\left(c\,x\right)}^n\right)}^p \,d x","Not used",1,"int((d*x)^m*(a + b*(c*x)^n)^p, x)","F"
2924,0,-1,61,0.000000,"\text{Not used}","int(x^2*(a + b*(c*x)^n)^p,x)","\int x^2\,{\left(a+b\,{\left(c\,x\right)}^n\right)}^p \,d x","Not used",1,"int(x^2*(a + b*(c*x)^n)^p, x)","F"
2925,0,-1,61,0.000000,"\text{Not used}","int(x*(a + b*(c*x)^n)^p,x)","\int x\,{\left(a+b\,{\left(c\,x\right)}^n\right)}^p \,d x","Not used",1,"int(x*(a + b*(c*x)^n)^p, x)","F"
2926,1,53,52,2.798111,"\text{Not used}","int((a + b*(c*x)^n)^p,x)","\frac{x\,{\left(a+b\,{\left(c\,x\right)}^n\right)}^p\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{n},-p;\ \frac{1}{n}+1;\ -\frac{b\,{\left(c\,x\right)}^n}{a}\right)}{{\left(\frac{b\,{\left(c\,x\right)}^n}{a}+1\right)}^p}","Not used",1,"(x*(a + b*(c*x)^n)^p*hypergeom([1/n, -p], 1/n + 1, -(b*(c*x)^n)/a))/((b*(c*x)^n)/a + 1)^p","B"
2927,0,-1,46,0.000000,"\text{Not used}","int((a + b*(c*x)^n)^p/x,x)","\int \frac{{\left(a+b\,{\left(c\,x\right)}^n\right)}^p}{x} \,d x","Not used",1,"int((a + b*(c*x)^n)^p/x, x)","F"
2928,0,-1,62,0.000000,"\text{Not used}","int((a + b*(c*x)^n)^p/x^2,x)","\int \frac{{\left(a+b\,{\left(c\,x\right)}^n\right)}^p}{x^2} \,d x","Not used",1,"int((a + b*(c*x)^n)^p/x^2, x)","F"
2929,0,-1,83,0.000000,"\text{Not used}","int(1/((x^2)^(3/2) + 1),x)","\int \frac{1}{{\left(x^2\right)}^{3/2}+1} \,d x","Not used",1,"int(1/((x^2)^(3/2) + 1), x)","F"
2930,0,-1,174,0.000000,"\text{Not used}","int(x^5*(a + b*(c*x^2)^(1/2))^(1/2),x)","\int x^5\,\sqrt{a+b\,\sqrt{c\,x^2}} \,d x","Not used",1,"int(x^5*(a + b*(c*x^2)^(1/2))^(1/2), x)","F"
2931,0,-1,116,0.000000,"\text{Not used}","int(x^3*(a + b*(c*x^2)^(1/2))^(1/2),x)","\int x^3\,\sqrt{a+b\,\sqrt{c\,x^2}} \,d x","Not used",1,"int(x^3*(a + b*(c*x^2)^(1/2))^(1/2), x)","F"
2932,1,52,56,1.421573,"\text{Not used}","int(x*(a + b*(c*x^2)^(1/2))^(1/2),x)","\frac{x^2\,\sqrt{a+b\,\sqrt{c}\,\sqrt{x^2}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},2;\ 3;\ -\frac{b\,\sqrt{c}\,\left|x\right|}{a}\right)}{2\,\sqrt{\frac{b\,\sqrt{c}\,\sqrt{x^2}}{a}+1}}","Not used",1,"(x^2*(a + b*c^(1/2)*(x^2)^(1/2))^(1/2)*hypergeom([-1/2, 2], 3, -(b*c^(1/2)*abs(x))/a))/(2*((b*c^(1/2)*(x^2)^(1/2))/a + 1)^(1/2))","B"
2933,0,-1,51,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(1/2))^(1/2)/x,x)","\int \frac{\sqrt{a+b\,\sqrt{c\,x^2}}}{x} \,d x","Not used",1,"int((a + b*(c*x^2)^(1/2))^(1/2)/x, x)","F"
2934,0,-1,97,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(1/2))^(1/2)/x^3,x)","\int \frac{\sqrt{a+b\,\sqrt{c\,x^2}}}{x^3} \,d x","Not used",1,"int((a + b*(c*x^2)^(1/2))^(1/2)/x^3, x)","F"
2935,0,-1,171,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(1/2))^(1/2)/x^5,x)","\int \frac{\sqrt{a+b\,\sqrt{c\,x^2}}}{x^5} \,d x","Not used",1,"int((a + b*(c*x^2)^(1/2))^(1/2)/x^5, x)","F"
2936,0,-1,191,0.000000,"\text{Not used}","int(x^4*(a + b*(c*x^2)^(1/2))^(1/2),x)","\int x^4\,\sqrt{a+b\,\sqrt{c\,x^2}} \,d x","Not used",1,"int(x^4*(a + b*(c*x^2)^(1/2))^(1/2), x)","F"
2937,0,-1,113,0.000000,"\text{Not used}","int(x^2*(a + b*(c*x^2)^(1/2))^(1/2),x)","\int x^2\,\sqrt{a+b\,\sqrt{c\,x^2}} \,d x","Not used",1,"int(x^2*(a + b*(c*x^2)^(1/2))^(1/2), x)","F"
2938,0,-1,34,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(1/2))^(1/2),x)","\int \sqrt{a+b\,\sqrt{c\,x^2}} \,d x","Not used",1,"int((a + b*(c*x^2)^(1/2))^(1/2), x)","F"
2939,0,-1,67,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(1/2))^(1/2)/x^2,x)","\int \frac{\sqrt{a+b\,\sqrt{c\,x^2}}}{x^2} \,d x","Not used",1,"int((a + b*(c*x^2)^(1/2))^(1/2)/x^2, x)","F"
2940,0,-1,144,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(1/2))^(1/2)/x^4,x)","\int \frac{\sqrt{a+b\,\sqrt{c\,x^2}}}{x^4} \,d x","Not used",1,"int((a + b*(c*x^2)^(1/2))^(1/2)/x^4, x)","F"
2941,0,-1,219,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(1/2))^(1/2)/x^6,x)","\int \frac{\sqrt{a+b\,\sqrt{c\,x^2}}}{x^6} \,d x","Not used",1,"int((a + b*(c*x^2)^(1/2))^(1/2)/x^6, x)","F"
2942,0,-1,113,0.000000,"\text{Not used}","int(x^8*(a + b*(c*x^2)^(3/2))^(1/2),x)","\int x^8\,\sqrt{a+b\,{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x^8*(a + b*(c*x^2)^(3/2))^(1/2), x)","F"
2943,0,-1,56,0.000000,"\text{Not used}","int(x^5*(a + b*(c*x^2)^(3/2))^(1/2),x)","\int x^5\,\sqrt{a+b\,{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x^5*(a + b*(c*x^2)^(3/2))^(1/2), x)","F"
2944,0,-1,36,0.000000,"\text{Not used}","int(x^2*(a + b*(c*x^2)^(3/2))^(1/2),x)","\int x^2\,\sqrt{a+b\,{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x^2*(a + b*(c*x^2)^(3/2))^(1/2), x)","F"
2945,0,-1,55,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(3/2))^(1/2)/x,x)","\int \frac{\sqrt{a+b\,{\left(c\,x^2\right)}^{3/2}}}{x} \,d x","Not used",1,"int((a + b*(c*x^2)^(3/2))^(1/2)/x, x)","F"
2946,0,-1,71,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(3/2))^(1/2)/x^4,x)","\int \frac{\sqrt{a+b\,{\left(c\,x^2\right)}^{3/2}}}{x^4} \,d x","Not used",1,"int((a + b*(c*x^2)^(3/2))^(1/2)/x^4, x)","F"
2947,0,-1,340,0.000000,"\text{Not used}","int(x^3*(a + b*(c*x^2)^(3/2))^(1/2),x)","\int x^3\,\sqrt{a+b\,{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x^3*(a + b*(c*x^2)^(3/2))^(1/2), x)","F"
2948,0,-1,306,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(3/2))^(1/2),x)","\int \sqrt{a+b\,{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*(c*x^2)^(3/2))^(1/2), x)","F"
2949,0,-1,298,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(3/2))^(1/2)/x^3,x)","\int \frac{\sqrt{a+b\,{\left(c\,x^2\right)}^{3/2}}}{x^3} \,d x","Not used",1,"int((a + b*(c*x^2)^(3/2))^(1/2)/x^3, x)","F"
2950,0,-1,352,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(3/2))^(1/2)/x^6,x)","\int \frac{\sqrt{a+b\,{\left(c\,x^2\right)}^{3/2}}}{x^6} \,d x","Not used",1,"int((a + b*(c*x^2)^(3/2))^(1/2)/x^6, x)","F"
2951,0,-1,709,0.000000,"\text{Not used}","int(x^4*(a + b*(c*x^2)^(3/2))^(1/2),x)","\int x^4\,\sqrt{a+b\,{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x^4*(a + b*(c*x^2)^(3/2))^(1/2), x)","F"
2952,1,55,642,1.544535,"\text{Not used}","int(x*(a + b*(c*x^2)^(3/2))^(1/2),x)","\frac{x^2\,\sqrt{a+b\,c^{3/2}\,\sqrt{x^6}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{2}{3};\ \frac{5}{3};\ -\frac{b\,c^{3/2}\,\sqrt{x^6}}{a}\right)}{2\,\sqrt{\frac{b\,c^{3/2}\,\sqrt{x^6}}{a}+1}}","Not used",1,"(x^2*(a + b*c^(3/2)*(x^6)^(1/2))^(1/2)*hypergeom([-1/2, 2/3], 5/3, -(b*c^(3/2)*(x^6)^(1/2))/a))/(2*((b*c^(3/2)*(x^6)^(1/2))/a + 1)^(1/2))","B"
2953,0,-1,661,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(3/2))^(1/2)/x^2,x)","\int \frac{\sqrt{a+b\,{\left(c\,x^2\right)}^{3/2}}}{x^2} \,d x","Not used",1,"int((a + b*(c*x^2)^(3/2))^(1/2)/x^2, x)","F"
2954,0,-1,681,0.000000,"\text{Not used}","int((a + b*(c*x^2)^(3/2))^(1/2)/x^5,x)","\int \frac{\sqrt{a+b\,{\left(c\,x^2\right)}^{3/2}}}{x^5} \,d x","Not used",1,"int((a + b*(c*x^2)^(3/2))^(1/2)/x^5, x)","F"
2955,0,-1,86,0.000000,"\text{Not used}","int((d*x)^m*(a + b*(c*x^2)^(3/2))^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a+b\,{\left(c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((d*x)^m*(a + b*(c*x^2)^(3/2))^(1/2), x)","F"
2956,0,-1,88,0.000000,"\text{Not used}","int((d*x)^m*(a + b*(c*x^2)^(1/2))^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a+b\,\sqrt{c\,x^2}} \,d x","Not used",1,"int((d*x)^m*(a + b*(c*x^2)^(1/2))^(1/2), x)","F"
2957,0,-1,87,0.000000,"\text{Not used}","int((d*x)^m*(a + b/(c*x^2)^(1/2))^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a+\frac{b}{\sqrt{c\,x^2}}} \,d x","Not used",1,"int((d*x)^m*(a + b/(c*x^2)^(1/2))^(1/2), x)","F"
2958,0,-1,90,0.000000,"\text{Not used}","int((d*x)^m*(a + b/(c*x^2)^(3/2))^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a+\frac{b}{{\left(c\,x^2\right)}^{3/2}}} \,d x","Not used",1,"int((d*x)^m*(a + b/(c*x^2)^(3/2))^(1/2), x)","F"
2959,0,-1,17,0.000000,"\text{Not used}","int(1/((x^3)^(2/3) + 1),x)","\int \frac{1}{{\left(x^3\right)}^{2/3}+1} \,d x","Not used",1,"int(1/((x^3)^(2/3) + 1), x)","F"
2960,0,-1,116,0.000000,"\text{Not used}","int(x^5*(a + b*(c*x^3)^(1/2))^(1/2),x)","\int x^5\,\sqrt{a+b\,\sqrt{c\,x^3}} \,d x","Not used",1,"int(x^5*(a + b*(c*x^3)^(1/2))^(1/2), x)","F"
2961,1,52,56,1.383240,"\text{Not used}","int(x^2*(a + b*(c*x^3)^(1/2))^(1/2),x)","\frac{x^3\,\sqrt{a+b\,\sqrt{c\,x^3}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},2;\ 3;\ -\frac{b\,\sqrt{c\,x^3}}{a}\right)}{3\,\sqrt{\frac{b\,\sqrt{c\,x^3}}{a}+1}}","Not used",1,"(x^3*(a + b*(c*x^3)^(1/2))^(1/2)*hypergeom([-1/2, 2], 3, -(b*(c*x^3)^(1/2))/a))/(3*((b*(c*x^3)^(1/2))/a + 1)^(1/2))","B"
2962,0,-1,55,0.000000,"\text{Not used}","int((a + b*(c*x^3)^(1/2))^(1/2)/x,x)","\int \frac{\sqrt{a+b\,\sqrt{c\,x^3}}}{x} \,d x","Not used",1,"int((a + b*(c*x^3)^(1/2))^(1/2)/x, x)","F"
2963,0,-1,97,0.000000,"\text{Not used}","int((a + b*(c*x^3)^(1/2))^(1/2)/x^4,x)","\int \frac{\sqrt{a+b\,\sqrt{c\,x^3}}}{x^4} \,d x","Not used",1,"int((a + b*(c*x^3)^(1/2))^(1/2)/x^4, x)","F"
2964,0,-1,400,0.000000,"\text{Not used}","int(x*(a + b*(c*x^3)^(1/2))^(1/2),x)","\int x\,\sqrt{a+b\,\sqrt{c\,x^3}} \,d x","Not used",1,"int(x*(a + b*(c*x^3)^(1/2))^(1/2), x)","F"
2965,0,-1,355,0.000000,"\text{Not used}","int((a + b*(c*x^3)^(1/2))^(1/2)/x^2,x)","\int \frac{\sqrt{a+b\,\sqrt{c\,x^3}}}{x^2} \,d x","Not used",1,"int((a + b*(c*x^3)^(1/2))^(1/2)/x^2, x)","F"
2966,0,-1,434,0.000000,"\text{Not used}","int((a + b*(c*x^3)^(1/2))^(1/2)/x^5,x)","\int \frac{\sqrt{a+b\,\sqrt{c\,x^3}}}{x^5} \,d x","Not used",1,"int((a + b*(c*x^3)^(1/2))^(1/2)/x^5, x)","F"
2967,0,-1,843,0.000000,"\text{Not used}","int(x^3*(a + b*(c*x^3)^(1/2))^(1/2),x)","\int x^3\,\sqrt{a+b\,\sqrt{c\,x^3}} \,d x","Not used",1,"int(x^3*(a + b*(c*x^3)^(1/2))^(1/2), x)","F"
2968,0,-1,770,0.000000,"\text{Not used}","int((a + b*(c*x^3)^(1/2))^(1/2),x)","\int \sqrt{a+b\,\sqrt{c\,x^3}} \,d x","Not used",1,"int((a + b*(c*x^3)^(1/2))^(1/2), x)","F"
2969,0,-1,810,0.000000,"\text{Not used}","int((a + b*(c*x^3)^(1/2))^(1/2)/x^3,x)","\int \frac{\sqrt{a+b\,\sqrt{c\,x^3}}}{x^3} \,d x","Not used",1,"int((a + b*(c*x^3)^(1/2))^(1/2)/x^3, x)","F"
2970,0,-1,116,0.000000,"\text{Not used}","int(x^17*(a + b*(c*x^3)^(3/2))^(1/2),x)","\int x^{17}\,\sqrt{a+b\,{\left(c\,x^3\right)}^{3/2}} \,d x","Not used",1,"int(x^17*(a + b*(c*x^3)^(3/2))^(1/2), x)","F"
2971,0,-1,56,0.000000,"\text{Not used}","int(x^8*(a + b*(c*x^3)^(3/2))^(1/2),x)","\int x^8\,\sqrt{a+b\,{\left(c\,x^3\right)}^{3/2}} \,d x","Not used",1,"int(x^8*(a + b*(c*x^3)^(3/2))^(1/2), x)","F"
2972,0,-1,55,0.000000,"\text{Not used}","int((a + b*(c*x^3)^(3/2))^(1/2)/x,x)","\int \frac{\sqrt{a+b\,{\left(c\,x^3\right)}^{3/2}}}{x} \,d x","Not used",1,"int((a + b*(c*x^3)^(3/2))^(1/2)/x, x)","F"
2973,0,-1,101,0.000000,"\text{Not used}","int((a + b*(c*x^3)^(3/2))^(1/2)/x^10,x)","\int \frac{\sqrt{a+b\,{\left(c\,x^3\right)}^{3/2}}}{x^{10}} \,d x","Not used",1,"int((a + b*(c*x^3)^(3/2))^(1/2)/x^10, x)","F"
2974,1,52,642,1.480381,"\text{Not used}","int(x^2*(a + b*(c*x^3)^(3/2))^(1/2),x)","\frac{x^3\,\sqrt{a+b\,{\left(c\,x^3\right)}^{3/2}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},\frac{2}{3};\ \frac{5}{3};\ -\frac{b\,{\left(c\,x^3\right)}^{3/2}}{a}\right)}{3\,\sqrt{\frac{b\,{\left(c\,x^3\right)}^{3/2}}{a}+1}}","Not used",1,"(x^3*(a + b*(c*x^3)^(3/2))^(1/2)*hypergeom([-1/2, 2/3], 5/3, -(b*(c*x^3)^(3/2))/a))/(3*((b*(c*x^3)^(3/2))/a + 1)^(1/2))","B"
2975,0,-1,170,0.000000,"\text{Not used}","int(x^9*(a + b*(c*x^3)^(3/2))^(1/2),x)","\int x^9\,\sqrt{a+b\,{\left(c\,x^3\right)}^{3/2}} \,d x","Not used",1,"int(x^9*(a + b*(c*x^3)^(3/2))^(1/2), x)","F"
2976,0,-1,91,0.000000,"\text{Not used}","int((a + b*(c*x^3)^(3/2))^(1/2),x)","\int \sqrt{a+b\,{\left(c\,x^3\right)}^{3/2}} \,d x","Not used",1,"int((a + b*(c*x^3)^(3/2))^(1/2), x)","F"
2977,0,-1,139,0.000000,"\text{Not used}","int((a + b*(c*x^3)^(3/2))^(1/2)/x^9,x)","\int \frac{\sqrt{a+b\,{\left(c\,x^3\right)}^{3/2}}}{x^9} \,d x","Not used",1,"int((a + b*(c*x^3)^(3/2))^(1/2)/x^9, x)","F"
2978,0,-1,84,0.000000,"\text{Not used}","int((d*x)^m*(a + b*(c*x^3)^(3/2))^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a+b\,{\left(c\,x^3\right)}^{3/2}} \,d x","Not used",1,"int((d*x)^m*(a + b*(c*x^3)^(3/2))^(1/2), x)","F"
2979,0,-1,84,0.000000,"\text{Not used}","int((d*x)^m*(a + b*(c*x^3)^(1/2))^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a+b\,\sqrt{c\,x^3}} \,d x","Not used",1,"int((d*x)^m*(a + b*(c*x^3)^(1/2))^(1/2), x)","F"
2980,0,-1,84,0.000000,"\text{Not used}","int((d*x)^m*(a + b/(c*x^3)^(1/2))^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a+\frac{b}{\sqrt{c\,x^3}}} \,d x","Not used",1,"int((d*x)^m*(a + b/(c*x^3)^(1/2))^(1/2), x)","F"
2981,0,-1,102,0.000000,"\text{Not used}","int((d*x)^m*(a + b/(c*x^3)^(3/2))^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a+\frac{b}{{\left(c\,x^3\right)}^{3/2}}} \,d x","Not used",1,"int((d*x)^m*(a + b/(c*x^3)^(3/2))^(1/2), x)","F"
2982,0,-1,169,0.000000,"\text{Not used}","int(x*(a + b*(c/x)^(1/2))^(1/2),x)","\int x\,\sqrt{a+b\,\sqrt{\frac{c}{x}}} \,d x","Not used",1,"int(x*(a + b*(c/x)^(1/2))^(1/2), x)","F"
2983,0,-1,92,0.000000,"\text{Not used}","int((a + b*(c/x)^(1/2))^(1/2),x)","\int \sqrt{a+b\,\sqrt{\frac{c}{x}}} \,d x","Not used",1,"int((a + b*(c/x)^(1/2))^(1/2), x)","F"
2984,0,-1,51,0.000000,"\text{Not used}","int((a + b*(c/x)^(1/2))^(1/2)/x,x)","\int \frac{\sqrt{a+b\,\sqrt{\frac{c}{x}}}}{x} \,d x","Not used",1,"int((a + b*(c/x)^(1/2))^(1/2)/x, x)","F"
2985,1,52,56,1.392350,"\text{Not used}","int((a + b*(c/x)^(1/2))^(1/2)/x^2,x)","-\frac{\sqrt{a+b\,\sqrt{\frac{c}{x}}}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{2},2;\ 3;\ -\frac{b\,\sqrt{\frac{c}{x}}}{a}\right)}{x\,\sqrt{\frac{b\,\sqrt{\frac{c}{x}}}{a}+1}}","Not used",1,"-((a + b*(c/x)^(1/2))^(1/2)*hypergeom([-1/2, 2], 3, -(b*(c/x)^(1/2))/a))/(x*((b*(c/x)^(1/2))/a + 1)^(1/2))","B"
2986,0,-1,116,0.000000,"\text{Not used}","int((a + b*(c/x)^(1/2))^(1/2)/x^3,x)","\int \frac{\sqrt{a+b\,\sqrt{\frac{c}{x}}}}{x^3} \,d x","Not used",1,"int((a + b*(c/x)^(1/2))^(1/2)/x^3, x)","F"
2987,0,-1,174,0.000000,"\text{Not used}","int((a + b*(c/x)^(1/2))^(1/2)/x^4,x)","\int \frac{\sqrt{a+b\,\sqrt{\frac{c}{x}}}}{x^4} \,d x","Not used",1,"int((a + b*(c/x)^(1/2))^(1/2)/x^4, x)","F"
2988,0,-1,172,0.000000,"\text{Not used}","int(x/(a + b*(c/x)^(1/2))^(1/2),x)","\int \frac{x}{\sqrt{a+b\,\sqrt{\frac{c}{x}}}} \,d x","Not used",1,"int(x/(a + b*(c/x)^(1/2))^(1/2), x)","F"
2989,0,-1,95,0.000000,"\text{Not used}","int(1/(a + b*(c/x)^(1/2))^(1/2),x)","\int \frac{1}{\sqrt{a+b\,\sqrt{\frac{c}{x}}}} \,d x","Not used",1,"int(1/(a + b*(c/x)^(1/2))^(1/2), x)","F"
2990,0,-1,31,0.000000,"\text{Not used}","int(1/(x*(a + b*(c/x)^(1/2))^(1/2)),x)","\int \frac{1}{x\,\sqrt{a+b\,\sqrt{\frac{c}{x}}}} \,d x","Not used",1,"int(1/(x*(a + b*(c/x)^(1/2))^(1/2)), x)","F"
2991,1,52,54,1.440286,"\text{Not used}","int(1/(x^2*(a + b*(c/x)^(1/2))^(1/2)),x)","-\frac{\sqrt{\frac{b\,\sqrt{\frac{c}{x}}}{a}+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},2;\ 3;\ -\frac{b\,\sqrt{\frac{c}{x}}}{a}\right)}{x\,\sqrt{a+b\,\sqrt{\frac{c}{x}}}}","Not used",1,"-(((b*(c/x)^(1/2))/a + 1)^(1/2)*hypergeom([1/2, 2], 3, -(b*(c/x)^(1/2))/a))/(x*(a + b*(c/x)^(1/2))^(1/2))","B"
2992,0,-1,112,0.000000,"\text{Not used}","int(1/(x^3*(a + b*(c/x)^(1/2))^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{a+b\,\sqrt{\frac{c}{x}}}} \,d x","Not used",1,"int(1/(x^3*(a + b*(c/x)^(1/2))^(1/2)), x)","F"
2993,0,-1,172,0.000000,"\text{Not used}","int(1/(x^4*(a + b*(c/x)^(1/2))^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{a+b\,\sqrt{\frac{c}{x}}}} \,d x","Not used",1,"int(1/(x^4*(a + b*(c/x)^(1/2))^(1/2)), x)","F"
2994,1,37,58,1.879536,"\text{Not used}","int(1/((1/x)^(1/2) + 1)^(1/2),x)","\frac{3\,\mathrm{atanh}\left(\sqrt{\sqrt{\frac{1}{x}}+1}\right)}{2}+\frac{5\,x\,\sqrt{\sqrt{\frac{1}{x}}+1}}{2}-\frac{3\,x\,{\left(\sqrt{\frac{1}{x}}+1\right)}^{3/2}}{2}","Not used",1,"(3*atanh(((1/x)^(1/2) + 1)^(1/2)))/2 + (5*x*((1/x)^(1/2) + 1)^(1/2))/2 - (3*x*((1/x)^(1/2) + 1)^(3/2))/2","B"
2995,0,-1,102,0.000000,"\text{Not used}","int((d*x)^m*(a + b*(c/x)^(3/2))^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a+b\,{\left(\frac{c}{x}\right)}^{3/2}} \,d x","Not used",1,"int((d*x)^m*(a + b*(c/x)^(3/2))^(1/2), x)","F"
2996,0,-1,60,0.000000,"\text{Not used}","int((d*x)^m*(a + b*(c/x)^(1/2))^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a+b\,\sqrt{\frac{c}{x}}} \,d x","Not used",1,"int((d*x)^m*(a + b*(c/x)^(1/2))^(1/2), x)","F"
2997,0,-1,78,0.000000,"\text{Not used}","int((d*x)^m*(a + b/(c/x)^(1/2))^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a+\frac{b}{\sqrt{\frac{c}{x}}}} \,d x","Not used",1,"int((d*x)^m*(a + b/(c/x)^(1/2))^(1/2), x)","F"
2998,0,-1,102,0.000000,"\text{Not used}","int((d*x)^m*(a + b/(c/x)^(3/2))^(1/2),x)","\int {\left(d\,x\right)}^m\,\sqrt{a+\frac{b}{{\left(\frac{c}{x}\right)}^{3/2}}} \,d x","Not used",1,"int((d*x)^m*(a + b/(c/x)^(3/2))^(1/2), x)","F"
2999,0,-1,102,0.000000,"\text{Not used}","int((d*x)^m/(a + b*(c/x)^(3/2))^(1/2),x)","\int \frac{{\left(d\,x\right)}^m}{\sqrt{a+b\,{\left(\frac{c}{x}\right)}^{3/2}}} \,d x","Not used",1,"int((d*x)^m/(a + b*(c/x)^(3/2))^(1/2), x)","F"
3000,0,-1,58,0.000000,"\text{Not used}","int((d*x)^m/(a + b*(c/x)^(1/2))^(1/2),x)","\int \frac{{\left(d\,x\right)}^m}{\sqrt{a+b\,\sqrt{\frac{c}{x}}}} \,d x","Not used",1,"int((d*x)^m/(a + b*(c/x)^(1/2))^(1/2), x)","F"
3001,0,-1,76,0.000000,"\text{Not used}","int((d*x)^m/(a + b/(c/x)^(1/2))^(1/2),x)","\int \frac{{\left(d\,x\right)}^m}{\sqrt{a+\frac{b}{\sqrt{\frac{c}{x}}}}} \,d x","Not used",1,"int((d*x)^m/(a + b/(c/x)^(1/2))^(1/2), x)","F"
3002,0,-1,102,0.000000,"\text{Not used}","int((d*x)^m/(a + b/(c/x)^(3/2))^(1/2),x)","\int \frac{{\left(d\,x\right)}^m}{\sqrt{a+\frac{b}{{\left(\frac{c}{x}\right)}^{3/2}}}} \,d x","Not used",1,"int((d*x)^m/(a + b/(c/x)^(3/2))^(1/2), x)","F"
3003,1,17,19,1.195191,"\text{Not used}","int(a + b*(c*x^n)^(1/n),x)","a\,x+\frac{b\,x\,{\left(c\,x^n\right)}^{1/n}}{2}","Not used",1,"a*x + (b*x*(c*x^n)^(1/n))/2","B"
3004,1,36,34,1.234400,"\text{Not used}","int((a + b*(c*x^n)^(1/n))^2,x)","a^2\,x+\frac{b^2\,x\,{\left(c\,x^n\right)}^{2/n}}{3}+a\,b\,x\,{\left(c\,x^n\right)}^{1/n}","Not used",1,"a^2*x + (b^2*x*(c*x^n)^(2/n))/3 + a*b*x*(c*x^n)^(1/n)","B"
3005,1,56,34,1.274523,"\text{Not used}","int((a + b*(c*x^n)^(1/n))^3,x)","a^3\,x+\frac{b^3\,x\,{\left(c\,x^n\right)}^{3/n}}{4}+\frac{3\,a^2\,b\,x\,{\left(c\,x^n\right)}^{1/n}}{2}+a\,b^2\,x\,{\left(c\,x^n\right)}^{2/n}","Not used",1,"a^3*x + (b^3*x*(c*x^n)^(3/n))/4 + (3*a^2*b*x*(c*x^n)^(1/n))/2 + a*b^2*x*(c*x^n)^(2/n)","B"
3006,0,-1,101,0.000000,"\text{Not used}","int(x^3/(a + b*(c*x^n)^(1/n)),x)","\int \frac{x^3}{a+b\,{\left(c\,x^n\right)}^{1/n}} \,d x","Not used",1,"int(x^3/(a + b*(c*x^n)^(1/n)), x)","F"
3007,0,-1,77,0.000000,"\text{Not used}","int(x^2/(a + b*(c*x^n)^(1/n)),x)","\int \frac{x^2}{a+b\,{\left(c\,x^n\right)}^{1/n}} \,d x","Not used",1,"int(x^2/(a + b*(c*x^n)^(1/n)), x)","F"
3008,0,-1,53,0.000000,"\text{Not used}","int(x/(a + b*(c*x^n)^(1/n)),x)","\int \frac{x}{a+b\,{\left(c\,x^n\right)}^{1/n}} \,d x","Not used",1,"int(x/(a + b*(c*x^n)^(1/n)), x)","F"
3009,0,-1,30,0.000000,"\text{Not used}","int(1/(a + b*(c*x^n)^(1/n)),x)","\int \frac{1}{a+b\,{\left(c\,x^n\right)}^{1/n}} \,d x","Not used",1,"int(1/(a + b*(c*x^n)^(1/n)), x)","F"
3010,1,24,26,1.222765,"\text{Not used}","int(1/(x*(a + b*(c*x^n)^(1/n))),x)","-\frac{\ln\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)-\ln\left(x\right)}{a}","Not used",1,"-(log(a + b*(c*x^n)^(1/n)) - log(x))/a","B"
3011,0,-1,60,0.000000,"\text{Not used}","int(1/(x^2*(a + b*(c*x^n)^(1/n))),x)","\int \frac{1}{x^2\,\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)} \,d x","Not used",1,"int(1/(x^2*(a + b*(c*x^n)^(1/n))), x)","F"
3012,0,-1,87,0.000000,"\text{Not used}","int(1/(x^3*(a + b*(c*x^n)^(1/n))),x)","\int \frac{1}{x^3\,\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)} \,d x","Not used",1,"int(1/(x^3*(a + b*(c*x^n)^(1/n))), x)","F"
3013,0,-1,114,0.000000,"\text{Not used}","int(x^3/(a + b*(c*x^n)^(1/n))^2,x)","\int \frac{x^3}{{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^2} \,d x","Not used",1,"int(x^3/(a + b*(c*x^n)^(1/n))^2, x)","F"
3014,0,-1,90,0.000000,"\text{Not used}","int(x^2/(a + b*(c*x^n)^(1/n))^2,x)","\int \frac{x^2}{{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^2} \,d x","Not used",1,"int(x^2/(a + b*(c*x^n)^(1/n))^2, x)","F"
3015,0,-1,67,0.000000,"\text{Not used}","int(x/(a + b*(c*x^n)^(1/n))^2,x)","\int \frac{x}{{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^2} \,d x","Not used",1,"int(x/(a + b*(c*x^n)^(1/n))^2, x)","F"
3016,1,20,20,1.190786,"\text{Not used}","int(1/(a + b*(c*x^n)^(1/n))^2,x)","\frac{x}{a\,\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}","Not used",1,"x/(a*(a + b*(c*x^n)^(1/n)))","B"
3017,1,44,45,1.187056,"\text{Not used}","int(1/(x*(a + b*(c*x^n)^(1/n))^2),x)","\frac{\ln\left(x\right)}{a^2}-\frac{\ln\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}{a^2}+\frac{1}{a^2+a\,b\,{\left(c\,x^n\right)}^{1/n}}","Not used",1,"log(x)/a^2 - log(a + b*(c*x^n)^(1/n))/a^2 + 1/(a^2 + a*b*(c*x^n)^(1/n))","B"
3018,0,-1,94,0.000000,"\text{Not used}","int(1/(x^2*(a + b*(c*x^n)^(1/n))^2),x)","\int \frac{1}{x^2\,{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^2} \,d x","Not used",1,"int(1/(x^2*(a + b*(c*x^n)^(1/n))^2), x)","F"
3019,0,-1,125,0.000000,"\text{Not used}","int(1/(x^3*(a + b*(c*x^n)^(1/n))^2),x)","\int \frac{1}{x^3\,{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^2} \,d x","Not used",1,"int(1/(x^3*(a + b*(c*x^n)^(1/n))^2), x)","F"
3020,1,36,34,1.199317,"\text{Not used}","int(1/(a + b*(c*x^n)^(1/n))^3,x)","\frac{x\,\left(2\,a+b\,{\left(c\,x^n\right)}^{1/n}\right)}{2\,a^2\,{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^2}","Not used",1,"(x*(2*a + b*(c*x^n)^(1/n)))/(2*a^2*(a + b*(c*x^n)^(1/n))^2)","B"
3021,0,-1,48,0.000000,"\text{Not used}","int(x/((x^n)^(1/n) + 1)^2,x)","\int \frac{x}{{\left({\left(x^n\right)}^{1/n}+1\right)}^2} \,d x","Not used",1,"int(x/((x^n)^(1/n) + 1)^2, x)","F"
3022,0,-1,171,0.000000,"\text{Not used}","int(x^3*(a + b*(c*x^n)^(1/n))^p,x)","\int x^3\,{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^p \,d x","Not used",1,"int(x^3*(a + b*(c*x^n)^(1/n))^p, x)","F"
3023,0,-1,126,0.000000,"\text{Not used}","int(x^2*(a + b*(c*x^n)^(1/n))^p,x)","\int x^2\,{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^p \,d x","Not used",1,"int(x^2*(a + b*(c*x^n)^(1/n))^p, x)","F"
3024,0,-1,83,0.000000,"\text{Not used}","int(x*(a + b*(c*x^n)^(1/n))^p,x)","\int x\,{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^p \,d x","Not used",1,"int(x*(a + b*(c*x^n)^(1/n))^p, x)","F"
3025,0,-1,38,0.000000,"\text{Not used}","int((a + b*(c*x^n)^(1/n))^p,x)","\int {\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^p \,d x","Not used",1,"int((a + b*(c*x^n)^(1/n))^p, x)","F"
3026,0,-1,51,0.000000,"\text{Not used}","int((a + b*(c*x^n)^(1/n))^p/x,x)","\int \frac{{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^p}{x} \,d x","Not used",1,"int((a + b*(c*x^n)^(1/n))^p/x, x)","F"
3027,0,-1,63,0.000000,"\text{Not used}","int((a + b*(c*x^n)^(1/n))^p/x^2,x)","\int \frac{{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^p}{x^2} \,d x","Not used",1,"int((a + b*(c*x^n)^(1/n))^p/x^2, x)","F"
3028,1,58,62,1.245609,"\text{Not used}","int((a + b*(c*x^n)^(2/n))^3,x)","a^3\,x+\frac{b^3\,x\,{\left(c\,x^n\right)}^{6/n}}{7}+a^2\,b\,x\,{\left(c\,x^n\right)}^{2/n}+\frac{3\,a\,b^2\,x\,{\left(c\,x^n\right)}^{4/n}}{5}","Not used",1,"a^3*x + (b^3*x*(c*x^n)^(6/n))/7 + a^2*b*x*(c*x^n)^(2/n) + (3*a*b^2*x*(c*x^n)^(4/n))/5","B"
3029,1,39,43,1.215534,"\text{Not used}","int((a + b*(c*x^n)^(2/n))^2,x)","a^2\,x+\frac{b^2\,x\,{\left(c\,x^n\right)}^{4/n}}{5}+\frac{2\,a\,b\,x\,{\left(c\,x^n\right)}^{2/n}}{3}","Not used",1,"a^2*x + (b^2*x*(c*x^n)^(4/n))/5 + (2*a*b*x*(c*x^n)^(2/n))/3","B"
3030,1,19,21,1.168692,"\text{Not used}","int(a + b*(c*x^n)^(2/n),x)","a\,x+\frac{b\,x\,{\left(c\,x^n\right)}^{2/n}}{3}","Not used",1,"a*x + (b*x*(c*x^n)^(2/n))/3","B"
3031,0,-1,44,0.000000,"\text{Not used}","int(1/(a + b*(c*x^n)^(2/n)),x)","\int \frac{1}{a+b\,{\left(c\,x^n\right)}^{2/n}} \,d x","Not used",1,"int(1/(a + b*(c*x^n)^(2/n)), x)","F"
3032,0,-1,73,0.000000,"\text{Not used}","int(1/(a + b*(c*x^n)^(2/n))^2,x)","\int \frac{1}{{\left(a+b\,{\left(c\,x^n\right)}^{2/n}\right)}^2} \,d x","Not used",1,"int(1/(a + b*(c*x^n)^(2/n))^2, x)","F"
3033,0,-1,98,0.000000,"\text{Not used}","int(1/(a + b*(c*x^n)^(2/n))^3,x)","\int \frac{1}{{\left(a+b\,{\left(c\,x^n\right)}^{2/n}\right)}^3} \,d x","Not used",1,"int(1/(a + b*(c*x^n)^(2/n))^3, x)","F"
3034,0,-1,22,0.000000,"\text{Not used}","int(1/(4*(x^4)^(1/2) + 1),x)","\int \frac{1}{4\,\sqrt{x^4}+1} \,d x","Not used",1,"int(1/(4*(x^4)^(1/2) + 1), x)","F"
3035,0,-1,22,0.000000,"\text{Not used}","int(-1/(4*(x^4)^(1/2) - 1),x)","\int -\frac{1}{4\,\sqrt{x^4}-1} \,d x","Not used",1,"int(-1/(4*(x^4)^(1/2) - 1), x)","F"
3036,0,-1,22,0.000000,"\text{Not used}","int(1/(4*(x^6)^(1/3) + 1),x)","\int \frac{1}{4\,{\left(x^6\right)}^{1/3}+1} \,d x","Not used",1,"int(1/(4*(x^6)^(1/3) + 1), x)","F"
3037,0,-1,22,0.000000,"\text{Not used}","int(-1/(4*(x^6)^(1/3) - 1),x)","-\int \frac{1}{4\,{\left(x^6\right)}^{1/3}-1} \,d x","Not used",1,"-int(1/(4*(x^6)^(1/3) - 1), x)","F"
3038,0,-1,34,0.000000,"\text{Not used}","int(1/(4*(x^(2*n))^(1/n) + 1),x)","\int \frac{1}{4\,{\left(x^{2\,n}\right)}^{1/n}+1} \,d x","Not used",1,"int(1/(4*(x^(2*n))^(1/n) + 1), x)","F"
3039,0,-1,34,0.000000,"\text{Not used}","int(-1/(4*(x^(2*n))^(1/n) - 1),x)","-\int \frac{1}{4\,{\left(x^{2\,n}\right)}^{1/n}-1} \,d x","Not used",1,"-int(1/(4*(x^(2*n))^(1/n) - 1), x)","F"
3040,1,59,65,1.250350,"\text{Not used}","int((a + b*(c*x^n)^(3/n))^3,x)","a^3\,x+\frac{b^3\,x\,{\left(c\,x^n\right)}^{9/n}}{10}+\frac{3\,a^2\,b\,x\,{\left(c\,x^n\right)}^{3/n}}{4}+\frac{3\,a\,b^2\,x\,{\left(c\,x^n\right)}^{6/n}}{7}","Not used",1,"a^3*x + (b^3*x*(c*x^n)^(9/n))/10 + (3*a^2*b*x*(c*x^n)^(3/n))/4 + (3*a*b^2*x*(c*x^n)^(6/n))/7","B"
3041,1,39,43,1.217220,"\text{Not used}","int((a + b*(c*x^n)^(3/n))^2,x)","a^2\,x+\frac{b^2\,x\,{\left(c\,x^n\right)}^{6/n}}{7}+\frac{a\,b\,x\,{\left(c\,x^n\right)}^{3/n}}{2}","Not used",1,"a^2*x + (b^2*x*(c*x^n)^(6/n))/7 + (a*b*x*(c*x^n)^(3/n))/2","B"
3042,1,19,21,1.169206,"\text{Not used}","int(a + b*(c*x^n)^(3/n),x)","a\,x+\frac{b\,x\,{\left(c\,x^n\right)}^{3/n}}{4}","Not used",1,"a*x + (b*x*(c*x^n)^(3/n))/4","B"
3043,0,-1,183,0.000000,"\text{Not used}","int(1/(a + b*(c*x^n)^(3/n)),x)","\int \frac{1}{a+b\,{\left(c\,x^n\right)}^{3/n}} \,d x","Not used",1,"int(1/(a + b*(c*x^n)^(3/n)), x)","F"
3044,0,-1,210,0.000000,"\text{Not used}","int(1/(a + b*(c*x^n)^(3/n))^2,x)","\int \frac{1}{{\left(a+b\,{\left(c\,x^n\right)}^{3/n}\right)}^2} \,d x","Not used",1,"int(1/(a + b*(c*x^n)^(3/n))^2, x)","F"
3045,0,-1,235,0.000000,"\text{Not used}","int(1/(a + b*(c*x^n)^(3/n))^3,x)","\int \frac{1}{{\left(a+b\,{\left(c\,x^n\right)}^{3/n}\right)}^3} \,d x","Not used",1,"int(1/(a + b*(c*x^n)^(3/n))^3, x)","F"
3046,0,-1,86,0.000000,"\text{Not used}","int((d*x)^m*(a + b*(c*x^q)^n)^p,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,{\left(c\,x^q\right)}^n\right)}^p \,d x","Not used",1,"int((d*x)^m*(a + b*(c*x^q)^n)^p, x)","F"
3047,0,-1,73,0.000000,"\text{Not used}","int(x^2*(a + b*(c*x^q)^n)^p,x)","\int x^2\,{\left(a+b\,{\left(c\,x^q\right)}^n\right)}^p \,d x","Not used",1,"int(x^2*(a + b*(c*x^q)^n)^p, x)","F"
3048,0,-1,73,0.000000,"\text{Not used}","int(x*(a + b*(c*x^q)^n)^p,x)","\int x\,{\left(a+b\,{\left(c\,x^q\right)}^n\right)}^p \,d x","Not used",1,"int(x*(a + b*(c*x^q)^n)^p, x)","F"
3049,0,-1,66,0.000000,"\text{Not used}","int((a + b*(c*x^q)^n)^p,x)","\int {\left(a+b\,{\left(c\,x^q\right)}^n\right)}^p \,d x","Not used",1,"int((a + b*(c*x^q)^n)^p, x)","F"
3050,0,-1,53,0.000000,"\text{Not used}","int((a + b*(c*x^q)^n)^p/x,x)","\int \frac{{\left(a+b\,{\left(c\,x^q\right)}^n\right)}^p}{x} \,d x","Not used",1,"int((a + b*(c*x^q)^n)^p/x, x)","F"
3051,0,-1,71,0.000000,"\text{Not used}","int((a + b*(c*x^q)^n)^p/x^2,x)","\int \frac{{\left(a+b\,{\left(c\,x^q\right)}^n\right)}^p}{x^2} \,d x","Not used",1,"int((a + b*(c*x^q)^n)^p/x^2, x)","F"
3052,0,-1,230,0.000000,"\text{Not used}","int(x^m*(a + c/x + b*(d/x)^(1/2))^(1/2),x)","\int x^m\,\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}} \,d x","Not used",1,"int(x^m*(a + c/x + b*(d/x)^(1/2))^(1/2), x)","F"
3053,0,-1,333,0.000000,"\text{Not used}","int(x^2*(a + c/x + b*(d/x)^(1/2))^(1/2),x)","\int x^2\,\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}} \,d x","Not used",1,"int(x^2*(a + c/x + b*(d/x)^(1/2))^(1/2), x)","F"
3054,0,-1,209,0.000000,"\text{Not used}","int(x*(a + c/x + b*(d/x)^(1/2))^(1/2),x)","\int x\,\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}} \,d x","Not used",1,"int(x*(a + c/x + b*(d/x)^(1/2))^(1/2), x)","F"
3055,0,-1,113,0.000000,"\text{Not used}","int((a + c/x + b*(d/x)^(1/2))^(1/2),x)","\int \sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}} \,d x","Not used",1,"int((a + c/x + b*(d/x)^(1/2))^(1/2), x)","F"
3056,0,-1,145,0.000000,"\text{Not used}","int((a + c/x + b*(d/x)^(1/2))^(1/2)/x,x)","\int \frac{\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}}}{x} \,d x","Not used",1,"int((a + c/x + b*(d/x)^(1/2))^(1/2)/x, x)","F"
3057,0,-1,155,0.000000,"\text{Not used}","int((a + c/x + b*(d/x)^(1/2))^(1/2)/x^2,x)","\int \frac{\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}}}{x^2} \,d x","Not used",1,"int((a + c/x + b*(d/x)^(1/2))^(1/2)/x^2, x)","F"
3058,0,-1,233,0.000000,"\text{Not used}","int((a + c/x + b*(d/x)^(1/2))^(1/2)/x^3,x)","\int \frac{\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}}}{x^3} \,d x","Not used",1,"int((a + c/x + b*(d/x)^(1/2))^(1/2)/x^3, x)","F"
3059,0,-1,371,0.000000,"\text{Not used}","int((a + c/x + b*(d/x)^(1/2))^(1/2)/x^4,x)","\int \frac{\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}}}{x^4} \,d x","Not used",1,"int((a + c/x + b*(d/x)^(1/2))^(1/2)/x^4, x)","F"
3060,0,-1,230,0.000000,"\text{Not used}","int(x^m/(a + c/x + b*(d/x)^(1/2))^(1/2),x)","\int \frac{x^m}{\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}}} \,d x","Not used",1,"int(x^m/(a + c/x + b*(d/x)^(1/2))^(1/2), x)","F"
3061,0,-1,386,0.000000,"\text{Not used}","int(x^2/(a + c/x + b*(d/x)^(1/2))^(1/2),x)","\int \frac{x^2}{\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}}} \,d x","Not used",1,"int(x^2/(a + c/x + b*(d/x)^(1/2))^(1/2), x)","F"
3062,0,-1,248,0.000000,"\text{Not used}","int(x/(a + c/x + b*(d/x)^(1/2))^(1/2),x)","\int \frac{x}{\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}}} \,d x","Not used",1,"int(x/(a + c/x + b*(d/x)^(1/2))^(1/2), x)","F"
3063,0,-1,135,0.000000,"\text{Not used}","int(1/(a + c/x + b*(d/x)^(1/2))^(1/2),x)","\int \frac{1}{\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}}} \,d x","Not used",1,"int(1/(a + c/x + b*(d/x)^(1/2))^(1/2), x)","F"
3064,0,-1,54,0.000000,"\text{Not used}","int(1/(x*(a + c/x + b*(d/x)^(1/2))^(1/2)),x)","\int \frac{1}{x\,\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}}} \,d x","Not used",1,"int(1/(x*(a + c/x + b*(d/x)^(1/2))^(1/2)), x)","F"
3065,0,-1,93,0.000000,"\text{Not used}","int(1/(x^2*(a + c/x + b*(d/x)^(1/2))^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}}} \,d x","Not used",1,"int(1/(x^2*(a + c/x + b*(d/x)^(1/2))^(1/2)), x)","F"
3066,0,-1,165,0.000000,"\text{Not used}","int(1/(x^3*(a + c/x + b*(d/x)^(1/2))^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}}} \,d x","Not used",1,"int(1/(x^3*(a + c/x + b*(d/x)^(1/2))^(1/2)), x)","F"
3067,0,-1,289,0.000000,"\text{Not used}","int(1/(x^4*(a + c/x + b*(d/x)^(1/2))^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{a+\frac{c}{x}+b\,\sqrt{\frac{d}{x}}}} \,d x","Not used",1,"int(1/(x^4*(a + c/x + b*(d/x)^(1/2))^(1/2)), x)","F"
3068,0,-1,26,0.000000,"\text{Not used}","int(((1/x)^(1/2) + 1/x)^(1/2),x)","\int \sqrt{\sqrt{\frac{1}{x}}+\frac{1}{x}} \,d x","Not used",1,"int(((1/x)^(1/2) + 1/x)^(1/2), x)","F"
3069,0,-1,75,0.000000,"\text{Not used}","int(((1/x)^(1/2) + 1/x + 2)^(1/2),x)","\int \sqrt{\sqrt{\frac{1}{x}}+\frac{1}{x}+2} \,d x","Not used",1,"int(((1/x)^(1/2) + 1/x + 2)^(1/2), x)","F"
3070,0,-1,79,0.000000,"\text{Not used}","int((c*x^n)^(1/n)*(a + b*(c*x^n)^(1/n))^p,x)","\int {\left(c\,x^n\right)}^{1/n}\,{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^p \,d x","Not used",1,"int((c*x^n)^(1/n)*(a + b*(c*x^n)^(1/n))^p, x)","F"
3071,1,68,70,1.255019,"\text{Not used}","int((c*x^n)^(1/n)*(a + b*(c*x^n)^(1/n))^3,x)","\frac{b^3\,x\,{\left(c\,x^n\right)}^{4/n}}{5}+\frac{a^3\,x\,{\left(c\,x^n\right)}^{1/n}}{2}+a^2\,b\,x\,{\left(c\,x^n\right)}^{2/n}+\frac{3\,a\,b^2\,x\,{\left(c\,x^n\right)}^{3/n}}{4}","Not used",1,"(b^3*x*(c*x^n)^(4/n))/5 + (a^3*x*(c*x^n)^(1/n))/2 + a^2*b*x*(c*x^n)^(2/n) + (3*a*b^2*x*(c*x^n)^(3/n))/4","B"
3072,1,47,55,1.216569,"\text{Not used}","int((c*x^n)^(1/n)*(a + b*(c*x^n)^(1/n))^2,x)","\frac{x\,{\left(c\,x^n\right)}^{1/n}\,\left(3\,b^2\,{\left(c\,x^n\right)}^{2/n}+6\,a^2+8\,a\,b\,{\left(c\,x^n\right)}^{1/n}\right)}{12}","Not used",1,"(x*(c*x^n)^(1/n)*(3*b^2*(c*x^n)^(2/n) + 6*a^2 + 8*a*b*(c*x^n)^(1/n)))/12","B"
3073,1,28,33,1.182324,"\text{Not used}","int((c*x^n)^(1/n)*(a + b*(c*x^n)^(1/n)),x)","\frac{x\,{\left(c\,x^n\right)}^{1/n}\,\left(3\,a+2\,b\,{\left(c\,x^n\right)}^{1/n}\right)}{6}","Not used",1,"(x*(c*x^n)^(1/n)*(3*a + 2*b*(c*x^n)^(1/n)))/6","B"
3074,0,-1,38,0.000000,"\text{Not used}","int((c*x^n)^(1/n)/(a + b*(c*x^n)^(1/n)),x)","\int \frac{{\left(c\,x^n\right)}^{1/n}}{a+b\,{\left(c\,x^n\right)}^{1/n}} \,d x","Not used",1,"int((c*x^n)^(1/n)/(a + b*(c*x^n)^(1/n)), x)","F"
3075,0,-1,63,0.000000,"\text{Not used}","int((c*x^n)^(1/n)/(a + b*(c*x^n)^(1/n))^2,x)","\int \frac{{\left(c\,x^n\right)}^{1/n}}{{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^2} \,d x","Not used",1,"int((c*x^n)^(1/n)/(a + b*(c*x^n)^(1/n))^2, x)","F"
3076,1,30,32,1.182821,"\text{Not used}","int((c*x^n)^(1/n)/(a + b*(c*x^n)^(1/n))^3,x)","\frac{x\,{\left(c\,x^n\right)}^{1/n}}{2\,a\,{\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}^2}","Not used",1,"(x*(c*x^n)^(1/n))/(2*a*(a + b*(c*x^n)^(1/n))^2)","B"
3077,1,127,70,1.182138,"\text{Not used}","int((c*x^n)^(1/n)/(a + b*(c*x^n)^(1/n))^4,x)","\frac{x}{6\,a^2\,b\,\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}-\frac{x}{3\,b\,\left(b^3\,{\left(c\,x^n\right)}^{3/n}+a^3+3\,a\,b^2\,{\left(c\,x^n\right)}^{2/n}+3\,a^2\,b\,{\left(c\,x^n\right)}^{1/n}\right)}+\frac{x}{6\,a\,b\,\left(b^2\,{\left(c\,x^n\right)}^{2/n}+a^2+2\,a\,b\,{\left(c\,x^n\right)}^{1/n}\right)}","Not used",1,"x/(6*a^2*b*(a + b*(c*x^n)^(1/n))) - x/(3*b*(b^3*(c*x^n)^(3/n) + a^3 + 3*a*b^2*(c*x^n)^(2/n) + 3*a^2*b*(c*x^n)^(1/n))) + x/(6*a*b*(b^2*(c*x^n)^(2/n) + a^2 + 2*a*b*(c*x^n)^(1/n)))","B"
3078,1,208,70,1.202487,"\text{Not used}","int((c*x^n)^(1/n)/(a + b*(c*x^n)^(1/n))^5,x)","\frac{x}{12\,a\,b\,\left(b^3\,{\left(c\,x^n\right)}^{3/n}+a^3+3\,a\,b^2\,{\left(c\,x^n\right)}^{2/n}+3\,a^2\,b\,{\left(c\,x^n\right)}^{1/n}\right)}-\frac{x}{4\,b\,\left(b^4\,{\left(c\,x^n\right)}^{4/n}+a^4+4\,a\,b^3\,{\left(c\,x^n\right)}^{3/n}+6\,a^2\,b^2\,{\left(c\,x^n\right)}^{2/n}+4\,a^3\,b\,{\left(c\,x^n\right)}^{1/n}\right)}+\frac{x}{12\,a^3\,b\,\left(a+b\,{\left(c\,x^n\right)}^{1/n}\right)}+\frac{x}{12\,a^2\,b\,\left(b^2\,{\left(c\,x^n\right)}^{2/n}+a^2+2\,a\,b\,{\left(c\,x^n\right)}^{1/n}\right)}","Not used",1,"x/(12*a*b*(b^3*(c*x^n)^(3/n) + a^3 + 3*a*b^2*(c*x^n)^(2/n) + 3*a^2*b*(c*x^n)^(1/n))) - x/(4*b*(b^4*(c*x^n)^(4/n) + a^4 + 4*a*b^3*(c*x^n)^(3/n) + 6*a^2*b^2*(c*x^n)^(2/n) + 4*a^3*b*(c*x^n)^(1/n))) + x/(12*a^3*b*(a + b*(c*x^n)^(1/n))) + x/(12*a^2*b*(b^2*(c*x^n)^(2/n) + a^2 + 2*a*b*(c*x^n)^(1/n)))","B"