1,1,13,0,0.351956," ","integrate(x^2*(b*x^3+a*x),x, algorithm=""fricas"")","\frac{1}{6} x^{6} b + \frac{1}{4} x^{4} a"," ",0,"1/6*x^6*b + 1/4*x^4*a","A",0
2,1,13,0,0.356950," ","integrate(x*(b*x^3+a*x),x, algorithm=""fricas"")","\frac{1}{5} x^{5} b + \frac{1}{3} x^{3} a"," ",0,"1/5*x^5*b + 1/3*x^3*a","A",0
3,1,13,0,0.346288," ","integrate(b*x^3+a*x,x, algorithm=""fricas"")","\frac{1}{4} x^{4} b + \frac{1}{2} x^{2} a"," ",0,"1/4*x^4*b + 1/2*x^2*a","A",0
4,1,10,0,0.374870," ","integrate((b*x^3+a*x)/x,x, algorithm=""fricas"")","\frac{1}{3} \, b x^{3} + a x"," ",0,"1/3*b*x^3 + a*x","A",0
5,1,11,0,0.385713," ","integrate((b*x^3+a*x)/x^2,x, algorithm=""fricas"")","\frac{1}{2} \, b x^{2} + a \log\left(x\right)"," ",0,"1/2*b*x^2 + a*log(x)","A",0
6,1,24,0,0.358823," ","integrate(x^2*(b*x^3+a*x)^2,x, algorithm=""fricas"")","\frac{1}{9} x^{9} b^{2} + \frac{2}{7} x^{7} b a + \frac{1}{5} x^{5} a^{2}"," ",0,"1/9*x^9*b^2 + 2/7*x^7*b*a + 1/5*x^5*a^2","A",0
7,1,24,0,0.340380," ","integrate(x*(b*x^3+a*x)^2,x, algorithm=""fricas"")","\frac{1}{8} x^{8} b^{2} + \frac{1}{3} x^{6} b a + \frac{1}{4} x^{4} a^{2}"," ",0,"1/8*x^8*b^2 + 1/3*x^6*b*a + 1/4*x^4*a^2","A",0
8,1,24,0,0.351597," ","integrate((b*x^3+a*x)^2,x, algorithm=""fricas"")","\frac{1}{7} x^{7} b^{2} + \frac{2}{5} x^{5} b a + \frac{1}{3} x^{3} a^{2}"," ",0,"1/7*x^7*b^2 + 2/5*x^5*b*a + 1/3*x^3*a^2","A",0
9,1,24,0,0.370522," ","integrate((b*x^3+a*x)^2/x,x, algorithm=""fricas"")","\frac{1}{6} \, b^{2} x^{6} + \frac{1}{2} \, a b x^{4} + \frac{1}{2} \, a^{2} x^{2}"," ",0,"1/6*b^2*x^6 + 1/2*a*b*x^4 + 1/2*a^2*x^2","A",0
10,1,21,0,0.390167," ","integrate((b*x^3+a*x)^2/x^2,x, algorithm=""fricas"")","\frac{1}{5} \, b^{2} x^{5} + \frac{2}{3} \, a b x^{3} + a^{2} x"," ",0,"1/5*b^2*x^5 + 2/3*a*b*x^3 + a^2*x","A",0
11,1,36,0,0.346904," ","integrate((3*x^3-4*x)^6,x, algorithm=""fricas"")","\frac{729}{19} x^{19} - \frac{5832}{17} x^{17} + 1296 x^{15} - \frac{34560}{13} x^{13} + \frac{34560}{11} x^{11} - 2048 x^{9} + \frac{4096}{7} x^{7}"," ",0,"729/19*x^19 - 5832/17*x^17 + 1296*x^15 - 34560/13*x^13 + 34560/11*x^11 - 2048*x^9 + 4096/7*x^7","A",0
12,1,22,0,0.385934," ","integrate(x^4/(b*x^3+a*x),x, algorithm=""fricas"")","\frac{b x^{2} - a \log\left(b x^{2} + a\right)}{2 \, b^{2}}"," ",0,"1/2*(b*x^2 - a*log(b*x^2 + a))/b^2","A",0
13,1,82,0,0.423142," ","integrate(x^3/(b*x^3+a*x),x, algorithm=""fricas"")","\left[\frac{\sqrt{-\frac{a}{b}} \log\left(\frac{b x^{2} - 2 \, b x \sqrt{-\frac{a}{b}} - a}{b x^{2} + a}\right) + 2 \, x}{2 \, b}, -\frac{\sqrt{\frac{a}{b}} \arctan\left(\frac{b x \sqrt{\frac{a}{b}}}{a}\right) - x}{b}\right]"," ",0,"[1/2*(sqrt(-a/b)*log((b*x^2 - 2*b*x*sqrt(-a/b) - a)/(b*x^2 + a)) + 2*x)/b, -(sqrt(a/b)*arctan(b*x*sqrt(a/b)/a) - x)/b]","A",0
14,1,13,0,0.402637," ","integrate(x^2/(b*x^3+a*x),x, algorithm=""fricas"")","\frac{\log\left(b x^{2} + a\right)}{2 \, b}"," ",0,"1/2*log(b*x^2 + a)/b","A",0
15,1,67,0,0.408761," ","integrate(x/(b*x^3+a*x),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{2 \, a b}, \frac{\sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{a b}\right]"," ",0,"[-1/2*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a))/(a*b), sqrt(a*b)*arctan(sqrt(a*b)*x/a)/(a*b)]","A",0
16,1,18,0,0.399383," ","integrate(1/(b*x^3+a*x),x, algorithm=""fricas"")","-\frac{\log\left(b x^{2} + a\right) - 2 \, \log\left(x\right)}{2 \, a}"," ",0,"-1/2*(log(b*x^2 + a) - 2*log(x))/a","A",0
17,1,82,0,0.417832," ","integrate(1/x/(b*x^3+a*x),x, algorithm=""fricas"")","\left[\frac{x \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} - 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right) - 2}{2 \, a x}, -\frac{x \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right) + 1}{a x}\right]"," ",0,"[1/2*(x*sqrt(-b/a)*log((b*x^2 - 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)) - 2)/(a*x), -(x*sqrt(b/a)*arctan(x*sqrt(b/a)) + 1)/(a*x)]","A",0
18,1,33,0,0.402498," ","integrate(1/x^2/(b*x^3+a*x),x, algorithm=""fricas"")","\frac{b x^{2} \log\left(b x^{2} + a\right) - 2 \, b x^{2} \log\left(x\right) - a}{2 \, a^{2} x^{2}}"," ",0,"1/2*(b*x^2*log(b*x^2 + a) - 2*b*x^2*log(x) - a)/(a^2*x^2)","A",0
19,1,106,0,0.419607," ","integrate(1/x^3/(b*x^3+a*x),x, algorithm=""fricas"")","\left[\frac{3 \, b x^{3} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} + 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right) + 6 \, b x^{2} - 2 \, a}{6 \, a^{2} x^{3}}, \frac{3 \, b x^{3} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right) + 3 \, b x^{2} - a}{3 \, a^{2} x^{3}}\right]"," ",0,"[1/6*(3*b*x^3*sqrt(-b/a)*log((b*x^2 + 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)) + 6*b*x^2 - 2*a)/(a^2*x^3), 1/3*(3*b*x^3*sqrt(b/a)*arctan(x*sqrt(b/a)) + 3*b*x^2 - a)/(a^2*x^3)]","A",0
20,1,45,0,0.407207," ","integrate(1/x^4/(b*x^3+a*x),x, algorithm=""fricas"")","-\frac{2 \, b^{2} x^{4} \log\left(b x^{2} + a\right) - 4 \, b^{2} x^{4} \log\left(x\right) - 2 \, a b x^{2} + a^{2}}{4 \, a^{3} x^{4}}"," ",0,"-1/4*(2*b^2*x^4*log(b*x^2 + a) - 4*b^2*x^4*log(x) - 2*a*b*x^2 + a^2)/(a^3*x^4)","A",0
21,1,120,0,0.426726," ","integrate(x^2/(b*x^3+a*x)^2,x, algorithm=""fricas"")","\left[\frac{2 \, a b x - {\left(b x^{2} + a\right)} \sqrt{-a b} \log\left(\frac{b x^{2} - 2 \, \sqrt{-a b} x - a}{b x^{2} + a}\right)}{4 \, {\left(a^{2} b^{2} x^{2} + a^{3} b\right)}}, \frac{a b x + {\left(b x^{2} + a\right)} \sqrt{a b} \arctan\left(\frac{\sqrt{a b} x}{a}\right)}{2 \, {\left(a^{2} b^{2} x^{2} + a^{3} b\right)}}\right]"," ",0,"[1/4*(2*a*b*x - (b*x^2 + a)*sqrt(-a*b)*log((b*x^2 - 2*sqrt(-a*b)*x - a)/(b*x^2 + a)))/(a^2*b^2*x^2 + a^3*b), 1/2*(a*b*x + (b*x^2 + a)*sqrt(a*b)*arctan(sqrt(a*b)*x/a))/(a^2*b^2*x^2 + a^3*b)]","A",0
22,1,47,0,0.410033," ","integrate(x/(b*x^3+a*x)^2,x, algorithm=""fricas"")","-\frac{{\left(b x^{2} + a\right)} \log\left(b x^{2} + a\right) - 2 \, {\left(b x^{2} + a\right)} \log\left(x\right) - a}{2 \, {\left(a^{2} b x^{2} + a^{3}\right)}}"," ",0,"-1/2*((b*x^2 + a)*log(b*x^2 + a) - 2*(b*x^2 + a)*log(x) - a)/(a^2*b*x^2 + a^3)","A",0
23,1,136,0,0.421627," ","integrate(1/(b*x^3+a*x)^2,x, algorithm=""fricas"")","\left[-\frac{6 \, b x^{2} - 3 \, {\left(b x^{3} + a x\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} - 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right) + 4 \, a}{4 \, {\left(a^{2} b x^{3} + a^{3} x\right)}}, -\frac{3 \, b x^{2} + 3 \, {\left(b x^{3} + a x\right)} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right) + 2 \, a}{2 \, {\left(a^{2} b x^{3} + a^{3} x\right)}}\right]"," ",0,"[-1/4*(6*b*x^2 - 3*(b*x^3 + a*x)*sqrt(-b/a)*log((b*x^2 - 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)) + 4*a)/(a^2*b*x^3 + a^3*x), -1/2*(3*b*x^2 + 3*(b*x^3 + a*x)*sqrt(b/a)*arctan(x*sqrt(b/a)) + 2*a)/(a^2*b*x^3 + a^3*x)]","A",0
24,1,73,0,0.402148," ","integrate(1/x/(b*x^3+a*x)^2,x, algorithm=""fricas"")","-\frac{2 \, a b x^{2} + a^{2} - 2 \, {\left(b^{2} x^{4} + a b x^{2}\right)} \log\left(b x^{2} + a\right) + 4 \, {\left(b^{2} x^{4} + a b x^{2}\right)} \log\left(x\right)}{2 \, {\left(a^{3} b x^{4} + a^{4} x^{2}\right)}}"," ",0,"-1/2*(2*a*b*x^2 + a^2 - 2*(b^2*x^4 + a*b*x^2)*log(b*x^2 + a) + 4*(b^2*x^4 + a*b*x^2)*log(x))/(a^3*b*x^4 + a^4*x^2)","A",0
25,1,172,0,0.411603," ","integrate(1/x^2/(b*x^3+a*x)^2,x, algorithm=""fricas"")","\left[\frac{30 \, b^{2} x^{4} + 20 \, a b x^{2} + 15 \, {\left(b^{2} x^{5} + a b x^{3}\right)} \sqrt{-\frac{b}{a}} \log\left(\frac{b x^{2} + 2 \, a x \sqrt{-\frac{b}{a}} - a}{b x^{2} + a}\right) - 4 \, a^{2}}{12 \, {\left(a^{3} b x^{5} + a^{4} x^{3}\right)}}, \frac{15 \, b^{2} x^{4} + 10 \, a b x^{2} + 15 \, {\left(b^{2} x^{5} + a b x^{3}\right)} \sqrt{\frac{b}{a}} \arctan\left(x \sqrt{\frac{b}{a}}\right) - 2 \, a^{2}}{6 \, {\left(a^{3} b x^{5} + a^{4} x^{3}\right)}}\right]"," ",0,"[1/12*(30*b^2*x^4 + 20*a*b*x^2 + 15*(b^2*x^5 + a*b*x^3)*sqrt(-b/a)*log((b*x^2 + 2*a*x*sqrt(-b/a) - a)/(b*x^2 + a)) - 4*a^2)/(a^3*b*x^5 + a^4*x^3), 1/6*(15*b^2*x^4 + 10*a*b*x^2 + 15*(b^2*x^5 + a*b*x^3)*sqrt(b/a)*arctan(x*sqrt(b/a)) - 2*a^2)/(a^3*b*x^5 + a^4*x^3)]","A",0
26,1,21,0,0.401954," ","integrate(x^5/(-x^3+x),x, algorithm=""fricas"")","-\frac{1}{3} \, x^{3} - x + \frac{1}{2} \, \log\left(x + 1\right) - \frac{1}{2} \, \log\left(x - 1\right)"," ",0,"-1/3*x^3 - x + 1/2*log(x + 1) - 1/2*log(x - 1)","A",0
27,1,14,0,0.388519," ","integrate(x^4/(-x^3+x),x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} - \frac{1}{2} \, \log\left(x^{2} - 1\right)"," ",0,"-1/2*x^2 - 1/2*log(x^2 - 1)","A",0
28,1,16,0,0.393793," ","integrate(x^3/(-x^3+x),x, algorithm=""fricas"")","-x + \frac{1}{2} \, \log\left(x + 1\right) - \frac{1}{2} \, \log\left(x - 1\right)"," ",0,"-x + 1/2*log(x + 1) - 1/2*log(x - 1)","B",0
29,1,8,0,0.391085," ","integrate(x^2/(-x^3+x),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(x^{2} - 1\right)"," ",0,"-1/2*log(x^2 - 1)","A",0
30,1,13,0,0.408623," ","integrate(x/(-x^3+x),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(x + 1\right) - \frac{1}{2} \, \log\left(x - 1\right)"," ",0,"1/2*log(x + 1) - 1/2*log(x - 1)","B",0
31,1,11,0,0.392599," ","integrate(1/(-x^3+x),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(x^{2} - 1\right) + \log\left(x\right)"," ",0,"-1/2*log(x^2 - 1) + log(x)","A",0
32,1,20,0,0.406655," ","integrate(1/x/(-x^3+x),x, algorithm=""fricas"")","\frac{x \log\left(x + 1\right) - x \log\left(x - 1\right) - 2}{2 \, x}"," ",0,"1/2*(x*log(x + 1) - x*log(x - 1) - 2)/x","B",0
33,1,24,0,0.395102," ","integrate(1/x^2/(-x^3+x),x, algorithm=""fricas"")","-\frac{x^{2} \log\left(x^{2} - 1\right) - 2 \, x^{2} \log\left(x\right) + 1}{2 \, x^{2}}"," ",0,"-1/2*(x^2*log(x^2 - 1) - 2*x^2*log(x) + 1)/x^2","A",0
34,1,30,0,0.403755," ","integrate(1/x^3/(-x^3+x),x, algorithm=""fricas"")","\frac{3 \, x^{3} \log\left(x + 1\right) - 3 \, x^{3} \log\left(x - 1\right) - 6 \, x^{2} - 2}{6 \, x^{3}}"," ",0,"1/6*(3*x^3*log(x + 1) - 3*x^3*log(x - 1) - 6*x^2 - 2)/x^3","B",0
35,1,30,0,0.380985," ","integrate(1/x^4/(-x^3+x),x, algorithm=""fricas"")","-\frac{2 \, x^{4} \log\left(x^{2} - 1\right) - 4 \, x^{4} \log\left(x\right) + 2 \, x^{2} + 1}{4 \, x^{4}}"," ",0,"-1/4*(2*x^4*log(x^2 - 1) - 4*x^4*log(x) + 2*x^2 + 1)/x^4","A",0
36,1,13,0,0.396492," ","integrate(1/(b*x^3+x),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(b x^{2} + 1\right) + \log\left(x\right)"," ",0,"-1/2*log(b*x^2 + 1) + log(x)","A",0
37,1,15,0,0.384611," ","integrate(1/(b*x^3-x),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(b x^{2} - 1\right) - \log\left(x\right)"," ",0,"1/2*log(b*x^2 - 1) - log(x)","A",0
38,0,0,0,0.429787," ","integrate(x^3*(b*x^3+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x^{3} + a x} x^{3}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*x^3, x)","F",0
39,0,0,0,0.437536," ","integrate(x^2*(b*x^3+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x^{3} + a x} x^{2}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*x^2, x)","F",0
40,0,0,0,0.444248," ","integrate(x*(b*x^3+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x^{3} + a x} x, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*x, x)","F",0
41,0,0,0,0.433241," ","integrate((b*x^3+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x^{3} + a x}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x), x)","F",0
42,0,0,0,0.433067," ","integrate((b*x^3+a*x)^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x}}{x}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)/x, x)","F",0
43,0,0,0,0.430990," ","integrate((b*x^3+a*x)^(1/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x}}{x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)/x^2, x)","F",0
44,0,0,0,0.437662," ","integrate((b*x^3+a*x)^(1/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x}}{x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)/x^3, x)","F",0
45,0,0,0,0.413131," ","integrate((b*x^3+a*x)^(1/2)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x}}{x^{4}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)/x^4, x)","F",0
46,0,0,0,0.439177," ","integrate(x^2*(b*x^3+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{5} + a x^{3}\right)} \sqrt{b x^{3} + a x}, x\right)"," ",0,"integral((b*x^5 + a*x^3)*sqrt(b*x^3 + a*x), x)","F",0
47,0,0,0,0.436593," ","integrate(x*(b*x^3+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{4} + a x^{2}\right)} \sqrt{b x^{3} + a x}, x\right)"," ",0,"integral((b*x^4 + a*x^2)*sqrt(b*x^3 + a*x), x)","F",0
48,0,0,0,0.428751," ","integrate((b*x^3+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{3} + a x\right)}^{\frac{3}{2}}, x\right)"," ",0,"integral((b*x^3 + a*x)^(3/2), x)","F",0
49,0,0,0,0.423186," ","integrate((b*x^3+a*x)^(3/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{b x^{3} + a x} {\left(b x^{2} + a\right)}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*(b*x^2 + a), x)","F",0
50,0,0,0,0.428639," ","integrate((b*x^3+a*x)^(3/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} {\left(b x^{2} + a\right)}}{x}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*(b*x^2 + a)/x, x)","F",0
51,0,0,0,0.435032," ","integrate((b*x^3+a*x)^(3/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} {\left(b x^{2} + a\right)}}{x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*(b*x^2 + a)/x^2, x)","F",0
52,0,0,0,0.443205," ","integrate((b*x^3+a*x)^(3/2)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} {\left(b x^{2} + a\right)}}{x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*(b*x^2 + a)/x^3, x)","F",0
53,0,0,0,0.432924," ","integrate((b*x^3+a*x)^(3/2)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} {\left(b x^{2} + a\right)}}{x^{4}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*(b*x^2 + a)/x^4, x)","F",0
54,0,0,0,0.419931," ","integrate((b*x^3+a*x)^(3/2)/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} {\left(b x^{2} + a\right)}}{x^{5}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*(b*x^2 + a)/x^5, x)","F",0
55,0,0,0,0.432256," ","integrate((b*x^3+a*x)^(3/2)/x^7,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} {\left(b x^{2} + a\right)}}{x^{6}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*(b*x^2 + a)/x^6, x)","F",0
56,0,0,0,0.427403," ","integrate((b*x^3+a*x)^(3/2)/x^8,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} {\left(b x^{2} + a\right)}}{x^{7}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*(b*x^2 + a)/x^7, x)","F",0
57,0,0,0,0.424039," ","integrate(x^4/(b*x^3+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} x^{3}}{b x^{2} + a}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*x^3/(b*x^2 + a), x)","F",0
58,0,0,0,0.435647," ","integrate(x^3/(b*x^3+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} x^{2}}{b x^{2} + a}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*x^2/(b*x^2 + a), x)","F",0
59,0,0,0,0.426964," ","integrate(x^2/(b*x^3+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} x}{b x^{2} + a}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*x/(b*x^2 + a), x)","F",0
60,0,0,0,0.435604," ","integrate(x/(b*x^3+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x}}{b x^{2} + a}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)/(b*x^2 + a), x)","F",0
61,0,0,0,0.417440," ","integrate(1/(b*x^3+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{b x^{3} + a x}}, x\right)"," ",0,"integral(1/sqrt(b*x^3 + a*x), x)","F",0
62,0,0,0,0.428252," ","integrate(1/x/(b*x^3+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x}}{b x^{4} + a x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)/(b*x^4 + a*x^2), x)","F",0
63,0,0,0,0.409925," ","integrate(1/x^2/(b*x^3+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x}}{b x^{5} + a x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)/(b*x^5 + a*x^3), x)","F",0
64,0,0,0,0.408428," ","integrate(1/x^3/(b*x^3+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x}}{b x^{6} + a x^{4}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)/(b*x^6 + a*x^4), x)","F",0
65,0,0,0,0.427980," ","integrate(x^7/(b*x^3+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} x^{5}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*x^5/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
66,0,0,0,0.434704," ","integrate(x^6/(b*x^3+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} x^{4}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*x^4/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
67,0,0,0,0.430203," ","integrate(x^5/(b*x^3+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} x^{3}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*x^3/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
68,0,0,0,0.436343," ","integrate(x^4/(b*x^3+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} x^{2}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*x^2/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
69,0,0,0,0.419229," ","integrate(x^3/(b*x^3+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x} x}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)*x/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
70,0,0,0,0.419285," ","integrate(x^2/(b*x^3+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x}}{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)/(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
71,0,0,0,0.426835," ","integrate(x/(b*x^3+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x}}{b^{2} x^{5} + 2 \, a b x^{3} + a^{2} x}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)/(b^2*x^5 + 2*a*b*x^3 + a^2*x), x)","F",0
72,0,0,0,0.412444," ","integrate(1/(b*x^3+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x}}{b^{2} x^{6} + 2 \, a b x^{4} + a^{2} x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)/(b^2*x^6 + 2*a*b*x^4 + a^2*x^2), x)","F",0
73,0,0,0,0.435460," ","integrate(1/x/(b*x^3+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x}}{b^{2} x^{7} + 2 \, a b x^{5} + a^{2} x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)/(b^2*x^7 + 2*a*b*x^5 + a^2*x^3), x)","F",0
74,0,0,0,0.424970," ","integrate(1/x^2/(b*x^3+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{3} + a x}}{b^{2} x^{8} + 2 \, a b x^{6} + a^{2} x^{4}}, x\right)"," ",0,"integral(sqrt(b*x^3 + a*x)/(b^2*x^8 + 2*a*b*x^6 + a^2*x^4), x)","F",0
75,1,376,0,0.449081," ","integrate(x^(29/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","\left[\frac{315 \, {\left(a b^{4} x^{8} + 4 \, a^{2} b^{3} x^{6} + 6 \, a^{3} b^{2} x^{4} + 4 \, a^{4} b x^{2} + a^{5}\right)} \sqrt{b} \log\left(2 \, b x^{2} - 2 \, \sqrt{b x^{3} + a x} \sqrt{b} \sqrt{x} + a\right) + 2 \, {\left(35 \, b^{5} x^{8} + 528 \, a b^{4} x^{6} + 1218 \, a^{2} b^{3} x^{4} + 1050 \, a^{3} b^{2} x^{2} + 315 \, a^{4} b\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{140 \, {\left(b^{10} x^{8} + 4 \, a b^{9} x^{6} + 6 \, a^{2} b^{8} x^{4} + 4 \, a^{3} b^{7} x^{2} + a^{4} b^{6}\right)}}, \frac{315 \, {\left(a b^{4} x^{8} + 4 \, a^{2} b^{3} x^{6} + 6 \, a^{3} b^{2} x^{4} + 4 \, a^{4} b x^{2} + a^{5}\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b x^{3} + a x} \sqrt{-b}}{b x^{\frac{3}{2}}}\right) + {\left(35 \, b^{5} x^{8} + 528 \, a b^{4} x^{6} + 1218 \, a^{2} b^{3} x^{4} + 1050 \, a^{3} b^{2} x^{2} + 315 \, a^{4} b\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{70 \, {\left(b^{10} x^{8} + 4 \, a b^{9} x^{6} + 6 \, a^{2} b^{8} x^{4} + 4 \, a^{3} b^{7} x^{2} + a^{4} b^{6}\right)}}\right]"," ",0,"[1/140*(315*(a*b^4*x^8 + 4*a^2*b^3*x^6 + 6*a^3*b^2*x^4 + 4*a^4*b*x^2 + a^5)*sqrt(b)*log(2*b*x^2 - 2*sqrt(b*x^3 + a*x)*sqrt(b)*sqrt(x) + a) + 2*(35*b^5*x^8 + 528*a*b^4*x^6 + 1218*a^2*b^3*x^4 + 1050*a^3*b^2*x^2 + 315*a^4*b)*sqrt(b*x^3 + a*x)*sqrt(x))/(b^10*x^8 + 4*a*b^9*x^6 + 6*a^2*b^8*x^4 + 4*a^3*b^7*x^2 + a^4*b^6), 1/70*(315*(a*b^4*x^8 + 4*a^2*b^3*x^6 + 6*a^3*b^2*x^4 + 4*a^4*b*x^2 + a^5)*sqrt(-b)*arctan(sqrt(b*x^3 + a*x)*sqrt(-b)/(b*x^(3/2))) + (35*b^5*x^8 + 528*a*b^4*x^6 + 1218*a^2*b^3*x^4 + 1050*a^3*b^2*x^2 + 315*a^4*b)*sqrt(b*x^3 + a*x)*sqrt(x))/(b^10*x^8 + 4*a*b^9*x^6 + 6*a^2*b^8*x^4 + 4*a^3*b^7*x^2 + a^4*b^6)]","A",0
76,1,108,0,0.414174," ","integrate(x^(27/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","\frac{{\left(35 \, b^{4} x^{8} + 280 \, a b^{3} x^{6} + 560 \, a^{2} b^{2} x^{4} + 448 \, a^{3} b x^{2} + 128 \, a^{4}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{35 \, {\left(b^{9} x^{9} + 4 \, a b^{8} x^{7} + 6 \, a^{2} b^{7} x^{5} + 4 \, a^{3} b^{6} x^{3} + a^{4} b^{5} x\right)}}"," ",0,"1/35*(35*b^4*x^8 + 280*a*b^3*x^6 + 560*a^2*b^2*x^4 + 448*a^3*b*x^2 + 128*a^4)*sqrt(b*x^3 + a*x)*sqrt(x)/(b^9*x^9 + 4*a*b^8*x^7 + 6*a^2*b^7*x^5 + 4*a^3*b^6*x^3 + a^4*b^5*x)","A",0
77,1,348,0,0.434758," ","integrate(x^(25/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","\left[\frac{105 \, {\left(b^{4} x^{8} + 4 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} + 4 \, a^{3} b x^{2} + a^{4}\right)} \sqrt{b} \log\left(2 \, b x^{2} + 2 \, \sqrt{b x^{3} + a x} \sqrt{b} \sqrt{x} + a\right) - 2 \, {\left(176 \, b^{4} x^{6} + 406 \, a b^{3} x^{4} + 350 \, a^{2} b^{2} x^{2} + 105 \, a^{3} b\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{210 \, {\left(b^{9} x^{8} + 4 \, a b^{8} x^{6} + 6 \, a^{2} b^{7} x^{4} + 4 \, a^{3} b^{6} x^{2} + a^{4} b^{5}\right)}}, -\frac{105 \, {\left(b^{4} x^{8} + 4 \, a b^{3} x^{6} + 6 \, a^{2} b^{2} x^{4} + 4 \, a^{3} b x^{2} + a^{4}\right)} \sqrt{-b} \arctan\left(\frac{\sqrt{b x^{3} + a x} \sqrt{-b}}{b x^{\frac{3}{2}}}\right) + {\left(176 \, b^{4} x^{6} + 406 \, a b^{3} x^{4} + 350 \, a^{2} b^{2} x^{2} + 105 \, a^{3} b\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{105 \, {\left(b^{9} x^{8} + 4 \, a b^{8} x^{6} + 6 \, a^{2} b^{7} x^{4} + 4 \, a^{3} b^{6} x^{2} + a^{4} b^{5}\right)}}\right]"," ",0,"[1/210*(105*(b^4*x^8 + 4*a*b^3*x^6 + 6*a^2*b^2*x^4 + 4*a^3*b*x^2 + a^4)*sqrt(b)*log(2*b*x^2 + 2*sqrt(b*x^3 + a*x)*sqrt(b)*sqrt(x) + a) - 2*(176*b^4*x^6 + 406*a*b^3*x^4 + 350*a^2*b^2*x^2 + 105*a^3*b)*sqrt(b*x^3 + a*x)*sqrt(x))/(b^9*x^8 + 4*a*b^8*x^6 + 6*a^2*b^7*x^4 + 4*a^3*b^6*x^2 + a^4*b^5), -1/105*(105*(b^4*x^8 + 4*a*b^3*x^6 + 6*a^2*b^2*x^4 + 4*a^3*b*x^2 + a^4)*sqrt(-b)*arctan(sqrt(b*x^3 + a*x)*sqrt(-b)/(b*x^(3/2))) + (176*b^4*x^6 + 406*a*b^3*x^4 + 350*a^2*b^2*x^2 + 105*a^3*b)*sqrt(b*x^3 + a*x)*sqrt(x))/(b^9*x^8 + 4*a*b^8*x^6 + 6*a^2*b^7*x^4 + 4*a^3*b^6*x^2 + a^4*b^5)]","A",0
78,1,97,0,0.411801," ","integrate(x^(23/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","-\frac{{\left(35 \, b^{3} x^{6} + 70 \, a b^{2} x^{4} + 56 \, a^{2} b x^{2} + 16 \, a^{3}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{35 \, {\left(b^{8} x^{9} + 4 \, a b^{7} x^{7} + 6 \, a^{2} b^{6} x^{5} + 4 \, a^{3} b^{5} x^{3} + a^{4} b^{4} x\right)}}"," ",0,"-1/35*(35*b^3*x^6 + 70*a*b^2*x^4 + 56*a^2*b*x^2 + 16*a^3)*sqrt(b*x^3 + a*x)*sqrt(x)/(b^8*x^9 + 4*a*b^7*x^7 + 6*a^2*b^6*x^5 + 4*a^3*b^5*x^3 + a^4*b^4*x)","A",0
79,1,61,0,0.393812," ","integrate(x^(21/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","\frac{\sqrt{b x^{3} + a x} x^{\frac{13}{2}}}{7 \, {\left(a b^{4} x^{8} + 4 \, a^{2} b^{3} x^{6} + 6 \, a^{3} b^{2} x^{4} + 4 \, a^{4} b x^{2} + a^{5}\right)}}"," ",0,"1/7*sqrt(b*x^3 + a*x)*x^(13/2)/(a*b^4*x^8 + 4*a^2*b^3*x^6 + 6*a^3*b^2*x^4 + 4*a^4*b*x^2 + a^5)","B",0
80,1,86,0,0.412066," ","integrate(x^(19/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","-\frac{{\left(35 \, b^{2} x^{4} + 28 \, a b x^{2} + 8 \, a^{2}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{105 \, {\left(b^{7} x^{9} + 4 \, a b^{6} x^{7} + 6 \, a^{2} b^{5} x^{5} + 4 \, a^{3} b^{4} x^{3} + a^{4} b^{3} x\right)}}"," ",0,"-1/105*(35*b^2*x^4 + 28*a*b*x^2 + 8*a^2)*sqrt(b*x^3 + a*x)*sqrt(x)/(b^7*x^9 + 4*a*b^6*x^7 + 6*a^2*b^5*x^5 + 4*a^3*b^4*x^3 + a^4*b^3*x)","A",0
81,1,76,0,0.431798," ","integrate(x^(17/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","\frac{{\left(2 \, b x^{6} + 7 \, a x^{4}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{35 \, {\left(a^{2} b^{4} x^{8} + 4 \, a^{3} b^{3} x^{6} + 6 \, a^{4} b^{2} x^{4} + 4 \, a^{5} b x^{2} + a^{6}\right)}}"," ",0,"1/35*(2*b*x^6 + 7*a*x^4)*sqrt(b*x^3 + a*x)*sqrt(x)/(a^2*b^4*x^8 + 4*a^3*b^3*x^6 + 6*a^4*b^2*x^4 + 4*a^5*b*x^2 + a^6)","A",0
82,1,75,0,0.431220," ","integrate(x^(15/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","-\frac{\sqrt{b x^{3} + a x} {\left(7 \, b x^{2} + 2 \, a\right)} \sqrt{x}}{35 \, {\left(b^{6} x^{9} + 4 \, a b^{5} x^{7} + 6 \, a^{2} b^{4} x^{5} + 4 \, a^{3} b^{3} x^{3} + a^{4} b^{2} x\right)}}"," ",0,"-1/35*sqrt(b*x^3 + a*x)*(7*b*x^2 + 2*a)*sqrt(x)/(b^6*x^9 + 4*a*b^5*x^7 + 6*a^2*b^4*x^5 + 4*a^3*b^3*x^3 + a^4*b^2*x)","A",0
83,1,87,0,0.412436," ","integrate(x^(13/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","\frac{{\left(8 \, b^{2} x^{6} + 28 \, a b x^{4} + 35 \, a^{2} x^{2}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{105 \, {\left(a^{3} b^{4} x^{8} + 4 \, a^{4} b^{3} x^{6} + 6 \, a^{5} b^{2} x^{4} + 4 \, a^{6} b x^{2} + a^{7}\right)}}"," ",0,"1/105*(8*b^2*x^6 + 28*a*b*x^4 + 35*a^2*x^2)*sqrt(b*x^3 + a*x)*sqrt(x)/(a^3*b^4*x^8 + 4*a^4*b^3*x^6 + 6*a^5*b^2*x^4 + 4*a^6*b*x^2 + a^7)","A",0
84,1,63,0,0.429120," ","integrate(x^(11/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","-\frac{\sqrt{b x^{3} + a x} \sqrt{x}}{7 \, {\left(b^{5} x^{9} + 4 \, a b^{4} x^{7} + 6 \, a^{2} b^{3} x^{5} + 4 \, a^{3} b^{2} x^{3} + a^{4} b x\right)}}"," ",0,"-1/7*sqrt(b*x^3 + a*x)*sqrt(x)/(b^5*x^9 + 4*a*b^4*x^7 + 6*a^2*b^3*x^5 + 4*a^3*b^2*x^3 + a^4*b*x)","B",0
85,1,95,0,0.401406," ","integrate(x^(9/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","\frac{{\left(16 \, b^{3} x^{6} + 56 \, a b^{2} x^{4} + 70 \, a^{2} b x^{2} + 35 \, a^{3}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{35 \, {\left(a^{4} b^{4} x^{8} + 4 \, a^{5} b^{3} x^{6} + 6 \, a^{6} b^{2} x^{4} + 4 \, a^{7} b x^{2} + a^{8}\right)}}"," ",0,"1/35*(16*b^3*x^6 + 56*a*b^2*x^4 + 70*a^2*b*x^2 + 35*a^3)*sqrt(b*x^3 + a*x)*sqrt(x)/(a^4*b^4*x^8 + 4*a^5*b^3*x^6 + 6*a^6*b^2*x^4 + 4*a^7*b*x^2 + a^8)","A",0
86,1,360,0,0.441631," ","integrate(x^(7/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","\left[\frac{105 \, {\left(b^{4} x^{9} + 4 \, a b^{3} x^{7} + 6 \, a^{2} b^{2} x^{5} + 4 \, a^{3} b x^{3} + a^{4} x\right)} \sqrt{a} \log\left(\frac{b x^{3} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x} \sqrt{a} \sqrt{x}}{x^{3}}\right) + 2 \, {\left(105 \, a b^{3} x^{6} + 350 \, a^{2} b^{2} x^{4} + 406 \, a^{3} b x^{2} + 176 \, a^{4}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{210 \, {\left(a^{5} b^{4} x^{9} + 4 \, a^{6} b^{3} x^{7} + 6 \, a^{7} b^{2} x^{5} + 4 \, a^{8} b x^{3} + a^{9} x\right)}}, \frac{105 \, {\left(b^{4} x^{9} + 4 \, a b^{3} x^{7} + 6 \, a^{2} b^{2} x^{5} + 4 \, a^{3} b x^{3} + a^{4} x\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x^{3} + a x} \sqrt{-a}}{a \sqrt{x}}\right) + {\left(105 \, a b^{3} x^{6} + 350 \, a^{2} b^{2} x^{4} + 406 \, a^{3} b x^{2} + 176 \, a^{4}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{105 \, {\left(a^{5} b^{4} x^{9} + 4 \, a^{6} b^{3} x^{7} + 6 \, a^{7} b^{2} x^{5} + 4 \, a^{8} b x^{3} + a^{9} x\right)}}\right]"," ",0,"[1/210*(105*(b^4*x^9 + 4*a*b^3*x^7 + 6*a^2*b^2*x^5 + 4*a^3*b*x^3 + a^4*x)*sqrt(a)*log((b*x^3 + 2*a*x - 2*sqrt(b*x^3 + a*x)*sqrt(a)*sqrt(x))/x^3) + 2*(105*a*b^3*x^6 + 350*a^2*b^2*x^4 + 406*a^3*b*x^2 + 176*a^4)*sqrt(b*x^3 + a*x)*sqrt(x))/(a^5*b^4*x^9 + 4*a^6*b^3*x^7 + 6*a^7*b^2*x^5 + 4*a^8*b*x^3 + a^9*x), 1/105*(105*(b^4*x^9 + 4*a*b^3*x^7 + 6*a^2*b^2*x^5 + 4*a^3*b*x^3 + a^4*x)*sqrt(-a)*arctan(sqrt(b*x^3 + a*x)*sqrt(-a)/(a*sqrt(x))) + (105*a*b^3*x^6 + 350*a^2*b^2*x^4 + 406*a^3*b*x^2 + 176*a^4)*sqrt(b*x^3 + a*x)*sqrt(x))/(a^5*b^4*x^9 + 4*a^6*b^3*x^7 + 6*a^7*b^2*x^5 + 4*a^8*b*x^3 + a^9*x)]","A",0
87,1,110,0,0.472705," ","integrate(x^(5/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","-\frac{{\left(128 \, b^{4} x^{8} + 448 \, a b^{3} x^{6} + 560 \, a^{2} b^{2} x^{4} + 280 \, a^{3} b x^{2} + 35 \, a^{4}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{35 \, {\left(a^{5} b^{4} x^{10} + 4 \, a^{6} b^{3} x^{8} + 6 \, a^{7} b^{2} x^{6} + 4 \, a^{8} b x^{4} + a^{9} x^{2}\right)}}"," ",0,"-1/35*(128*b^4*x^8 + 448*a*b^3*x^6 + 560*a^2*b^2*x^4 + 280*a^3*b*x^2 + 35*a^4)*sqrt(b*x^3 + a*x)*sqrt(x)/(a^5*b^4*x^10 + 4*a^6*b^3*x^8 + 6*a^7*b^2*x^6 + 4*a^8*b*x^4 + a^9*x^2)","A",0
88,1,396,0,0.428073," ","integrate(x^(3/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","\left[\frac{315 \, {\left(b^{5} x^{11} + 4 \, a b^{4} x^{9} + 6 \, a^{2} b^{3} x^{7} + 4 \, a^{3} b^{2} x^{5} + a^{4} b x^{3}\right)} \sqrt{a} \log\left(\frac{b x^{3} + 2 \, a x + 2 \, \sqrt{b x^{3} + a x} \sqrt{a} \sqrt{x}}{x^{3}}\right) - 2 \, {\left(315 \, a b^{4} x^{8} + 1050 \, a^{2} b^{3} x^{6} + 1218 \, a^{3} b^{2} x^{4} + 528 \, a^{4} b x^{2} + 35 \, a^{5}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{140 \, {\left(a^{6} b^{4} x^{11} + 4 \, a^{7} b^{3} x^{9} + 6 \, a^{8} b^{2} x^{7} + 4 \, a^{9} b x^{5} + a^{10} x^{3}\right)}}, -\frac{315 \, {\left(b^{5} x^{11} + 4 \, a b^{4} x^{9} + 6 \, a^{2} b^{3} x^{7} + 4 \, a^{3} b^{2} x^{5} + a^{4} b x^{3}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x^{3} + a x} \sqrt{-a}}{a \sqrt{x}}\right) + {\left(315 \, a b^{4} x^{8} + 1050 \, a^{2} b^{3} x^{6} + 1218 \, a^{3} b^{2} x^{4} + 528 \, a^{4} b x^{2} + 35 \, a^{5}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{70 \, {\left(a^{6} b^{4} x^{11} + 4 \, a^{7} b^{3} x^{9} + 6 \, a^{8} b^{2} x^{7} + 4 \, a^{9} b x^{5} + a^{10} x^{3}\right)}}\right]"," ",0,"[1/140*(315*(b^5*x^11 + 4*a*b^4*x^9 + 6*a^2*b^3*x^7 + 4*a^3*b^2*x^5 + a^4*b*x^3)*sqrt(a)*log((b*x^3 + 2*a*x + 2*sqrt(b*x^3 + a*x)*sqrt(a)*sqrt(x))/x^3) - 2*(315*a*b^4*x^8 + 1050*a^2*b^3*x^6 + 1218*a^3*b^2*x^4 + 528*a^4*b*x^2 + 35*a^5)*sqrt(b*x^3 + a*x)*sqrt(x))/(a^6*b^4*x^11 + 4*a^7*b^3*x^9 + 6*a^8*b^2*x^7 + 4*a^9*b*x^5 + a^10*x^3), -1/70*(315*(b^5*x^11 + 4*a*b^4*x^9 + 6*a^2*b^3*x^7 + 4*a^3*b^2*x^5 + a^4*b*x^3)*sqrt(-a)*arctan(sqrt(b*x^3 + a*x)*sqrt(-a)/(a*sqrt(x))) + (315*a*b^4*x^8 + 1050*a^2*b^3*x^6 + 1218*a^3*b^2*x^4 + 528*a^4*b*x^2 + 35*a^5)*sqrt(b*x^3 + a*x)*sqrt(x))/(a^6*b^4*x^11 + 4*a^7*b^3*x^9 + 6*a^8*b^2*x^7 + 4*a^9*b*x^5 + a^10*x^3)]","A",0
89,1,121,0,0.519198," ","integrate(x^(1/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","\frac{{\left(256 \, b^{5} x^{10} + 896 \, a b^{4} x^{8} + 1120 \, a^{2} b^{3} x^{6} + 560 \, a^{3} b^{2} x^{4} + 70 \, a^{4} b x^{2} - 7 \, a^{5}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{21 \, {\left(a^{6} b^{4} x^{12} + 4 \, a^{7} b^{3} x^{10} + 6 \, a^{8} b^{2} x^{8} + 4 \, a^{9} b x^{6} + a^{10} x^{4}\right)}}"," ",0,"1/21*(256*b^5*x^10 + 896*a*b^4*x^8 + 1120*a^2*b^3*x^6 + 560*a^3*b^2*x^4 + 70*a^4*b*x^2 - 7*a^5)*sqrt(b*x^3 + a*x)*sqrt(x)/(a^6*b^4*x^12 + 4*a^7*b^3*x^10 + 6*a^8*b^2*x^8 + 4*a^9*b*x^6 + a^10*x^4)","A",0
90,1,422,0,0.427836," ","integrate(1/x^(1/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","\left[\frac{3465 \, {\left(b^{6} x^{13} + 4 \, a b^{5} x^{11} + 6 \, a^{2} b^{4} x^{9} + 4 \, a^{3} b^{3} x^{7} + a^{4} b^{2} x^{5}\right)} \sqrt{a} \log\left(\frac{b x^{3} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x} \sqrt{a} \sqrt{x}}{x^{3}}\right) + 2 \, {\left(3465 \, a b^{5} x^{10} + 11550 \, a^{2} b^{4} x^{8} + 13398 \, a^{3} b^{3} x^{6} + 5808 \, a^{4} b^{2} x^{4} + 385 \, a^{5} b x^{2} - 70 \, a^{6}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{560 \, {\left(a^{7} b^{4} x^{13} + 4 \, a^{8} b^{3} x^{11} + 6 \, a^{9} b^{2} x^{9} + 4 \, a^{10} b x^{7} + a^{11} x^{5}\right)}}, \frac{3465 \, {\left(b^{6} x^{13} + 4 \, a b^{5} x^{11} + 6 \, a^{2} b^{4} x^{9} + 4 \, a^{3} b^{3} x^{7} + a^{4} b^{2} x^{5}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x^{3} + a x} \sqrt{-a}}{a \sqrt{x}}\right) + {\left(3465 \, a b^{5} x^{10} + 11550 \, a^{2} b^{4} x^{8} + 13398 \, a^{3} b^{3} x^{6} + 5808 \, a^{4} b^{2} x^{4} + 385 \, a^{5} b x^{2} - 70 \, a^{6}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{280 \, {\left(a^{7} b^{4} x^{13} + 4 \, a^{8} b^{3} x^{11} + 6 \, a^{9} b^{2} x^{9} + 4 \, a^{10} b x^{7} + a^{11} x^{5}\right)}}\right]"," ",0,"[1/560*(3465*(b^6*x^13 + 4*a*b^5*x^11 + 6*a^2*b^4*x^9 + 4*a^3*b^3*x^7 + a^4*b^2*x^5)*sqrt(a)*log((b*x^3 + 2*a*x - 2*sqrt(b*x^3 + a*x)*sqrt(a)*sqrt(x))/x^3) + 2*(3465*a*b^5*x^10 + 11550*a^2*b^4*x^8 + 13398*a^3*b^3*x^6 + 5808*a^4*b^2*x^4 + 385*a^5*b*x^2 - 70*a^6)*sqrt(b*x^3 + a*x)*sqrt(x))/(a^7*b^4*x^13 + 4*a^8*b^3*x^11 + 6*a^9*b^2*x^9 + 4*a^10*b*x^7 + a^11*x^5), 1/280*(3465*(b^6*x^13 + 4*a*b^5*x^11 + 6*a^2*b^4*x^9 + 4*a^3*b^3*x^7 + a^4*b^2*x^5)*sqrt(-a)*arctan(sqrt(b*x^3 + a*x)*sqrt(-a)/(a*sqrt(x))) + (3465*a*b^5*x^10 + 11550*a^2*b^4*x^8 + 13398*a^3*b^3*x^6 + 5808*a^4*b^2*x^4 + 385*a^5*b*x^2 - 70*a^6)*sqrt(b*x^3 + a*x)*sqrt(x))/(a^7*b^4*x^13 + 4*a^8*b^3*x^11 + 6*a^9*b^2*x^9 + 4*a^10*b*x^7 + a^11*x^5)]","A",0
91,1,132,0,0.553695," ","integrate(1/x^(3/2)/(b*x^3+a*x)^(9/2),x, algorithm=""fricas"")","-\frac{{\left(1024 \, b^{6} x^{12} + 3584 \, a b^{5} x^{10} + 4480 \, a^{2} b^{4} x^{8} + 2240 \, a^{3} b^{3} x^{6} + 280 \, a^{4} b^{2} x^{4} - 28 \, a^{5} b x^{2} + 7 \, a^{6}\right)} \sqrt{b x^{3} + a x} \sqrt{x}}{35 \, {\left(a^{7} b^{4} x^{14} + 4 \, a^{8} b^{3} x^{12} + 6 \, a^{9} b^{2} x^{10} + 4 \, a^{10} b x^{8} + a^{11} x^{6}\right)}}"," ",0,"-1/35*(1024*b^6*x^12 + 3584*a*b^5*x^10 + 4480*a^2*b^4*x^8 + 2240*a^3*b^3*x^6 + 280*a^4*b^2*x^4 - 28*a^5*b*x^2 + 7*a^6)*sqrt(b*x^3 + a*x)*sqrt(x)/(a^7*b^4*x^14 + 4*a^8*b^3*x^12 + 6*a^9*b^2*x^10 + 4*a^10*b*x^8 + a^11*x^6)","A",0
92,1,133,0,0.565044," ","integrate(x^4/(b*x^4+a*x)^(1/2),x, algorithm=""fricas"")","\left[\frac{4 \, \sqrt{b x^{4} + a x} b x + a \sqrt{b} \log\left(-8 \, b^{2} x^{6} - 8 \, a b x^{3} - a^{2} + 4 \, {\left(2 \, b x^{4} + a x\right)} \sqrt{b x^{4} + a x} \sqrt{b}\right)}{12 \, b^{2}}, \frac{2 \, \sqrt{b x^{4} + a x} b x + a \sqrt{-b} \arctan\left(\frac{2 \, \sqrt{b x^{4} + a x} \sqrt{-b} x}{2 \, b x^{3} + a}\right)}{6 \, b^{2}}\right]"," ",0,"[1/12*(4*sqrt(b*x^4 + a*x)*b*x + a*sqrt(b)*log(-8*b^2*x^6 - 8*a*b*x^3 - a^2 + 4*(2*b*x^4 + a*x)*sqrt(b*x^4 + a*x)*sqrt(b)))/b^2, 1/6*(2*sqrt(b*x^4 + a*x)*b*x + a*sqrt(-b)*arctan(2*sqrt(b*x^4 + a*x)*sqrt(-b)*x/(2*b*x^3 + a)))/b^2]","A",0
93,1,94,0,0.574163," ","integrate(x/(b*x^4+a*x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-8 \, b^{2} x^{6} - 8 \, a b x^{3} - a^{2} - 4 \, {\left(2 \, b x^{4} + a x\right)} \sqrt{b x^{4} + a x} \sqrt{b}\right)}{6 \, \sqrt{b}}, -\frac{\sqrt{-b} \arctan\left(\frac{2 \, \sqrt{b x^{4} + a x} \sqrt{-b} x}{2 \, b x^{3} + a}\right)}{3 \, b}\right]"," ",0,"[1/6*log(-8*b^2*x^6 - 8*a*b*x^3 - a^2 - 4*(2*b*x^4 + a*x)*sqrt(b*x^4 + a*x)*sqrt(b))/sqrt(b), -1/3*sqrt(-b)*arctan(2*sqrt(b*x^4 + a*x)*sqrt(-b)*x/(2*b*x^3 + a))/b]","A",0
94,1,19,0,0.420156," ","integrate(1/x^2/(b*x^4+a*x)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b x^{4} + a x}}{3 \, a x^{2}}"," ",0,"-2/3*sqrt(b*x^4 + a*x)/(a*x^2)","A",0
95,1,29,0,0.418287," ","integrate(1/x^5/(b*x^4+a*x)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{4} + a x} {\left(2 \, b x^{3} - a\right)}}{9 \, a^{2} x^{5}}"," ",0,"2/9*sqrt(b*x^4 + a*x)*(2*b*x^3 - a)/(a^2*x^5)","A",0
96,1,40,0,0.427994," ","integrate(1/x^8/(b*x^4+a*x)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(8 \, b^{2} x^{6} - 4 \, a b x^{3} + 3 \, a^{2}\right)} \sqrt{b x^{4} + a x}}{45 \, a^{3} x^{8}}"," ",0,"-2/45*(8*b^2*x^6 - 4*a*b*x^3 + 3*a^2)*sqrt(b*x^4 + a*x)/(a^3*x^8)","A",0
97,0,0,0,0.428479," ","integrate(x^3/(b*x^4+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a x} x^{2}}{b x^{3} + a}, x\right)"," ",0,"integral(sqrt(b*x^4 + a*x)*x^2/(b*x^3 + a), x)","F",0
98,0,0,0,0.419555," ","integrate(1/(b*x^4+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\sqrt{b x^{4} + a x}}, x\right)"," ",0,"integral(1/sqrt(b*x^4 + a*x), x)","F",0
99,0,0,0,0.432223," ","integrate(1/x^3/(b*x^4+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a x}}{b x^{7} + a x^{4}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a*x)/(b*x^7 + a*x^4), x)","F",0
100,0,0,0,0.440978," ","integrate(x^5/(b*x^4+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a x} x^{4}}{b x^{3} + a}, x\right)"," ",0,"integral(sqrt(b*x^4 + a*x)*x^4/(b*x^3 + a), x)","F",0
101,0,0,0,0.437137," ","integrate(x^2/(b*x^4+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a x} x}{b x^{3} + a}, x\right)"," ",0,"integral(sqrt(b*x^4 + a*x)*x/(b*x^3 + a), x)","F",0
102,0,0,0,0.435871," ","integrate(1/x/(b*x^4+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{4} + a x}}{b x^{5} + a x^{2}}, x\right)"," ",0,"integral(sqrt(b*x^4 + a*x)/(b*x^5 + a*x^2), x)","F",0
103,-1,0,0,0.000000," ","integrate(x^2/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
104,-1,0,0,0.000000," ","integrate(x/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
105,-1,0,0,0.000000," ","integrate(1/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
106,1,19,0,0.854720," ","integrate(1/x/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","-\frac{4 \, \sqrt{a x + b \sqrt{x}}}{b \sqrt{x}}"," ",0,"-4*sqrt(a*x + b*sqrt(x))/(b*sqrt(x))","A",0
107,1,42,0,0.901052," ","integrate(1/x^2/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","\frac{4 \, {\left(4 \, a b x - {\left(8 \, a^{2} x + 3 \, b^{2}\right)} \sqrt{x}\right)} \sqrt{a x + b \sqrt{x}}}{15 \, b^{3} x^{2}}"," ",0,"4/15*(4*a*b*x - (8*a^2*x + 3*b^2)*sqrt(x))*sqrt(a*x + b*sqrt(x))/(b^3*x^2)","A",0
108,1,64,0,0.704039," ","integrate(1/x^3/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","\frac{4 \, {\left(64 \, a^{3} b x^{2} + 40 \, a b^{3} x - {\left(128 \, a^{4} x^{2} + 48 \, a^{2} b^{2} x + 35 \, b^{4}\right)} \sqrt{x}\right)} \sqrt{a x + b \sqrt{x}}}{315 \, b^{5} x^{3}}"," ",0,"4/315*(64*a^3*b*x^2 + 40*a*b^3*x - (128*a^4*x^2 + 48*a^2*b^2*x + 35*b^4)*sqrt(x))*sqrt(a*x + b*sqrt(x))/(b^5*x^3)","A",0
109,1,86,0,0.765279," ","integrate(1/x^4/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","\frac{4 \, {\left(512 \, a^{5} b x^{3} + 320 \, a^{3} b^{3} x^{2} + 252 \, a b^{5} x - {\left(1024 \, a^{6} x^{3} + 384 \, a^{4} b^{2} x^{2} + 280 \, a^{2} b^{4} x + 231 \, b^{6}\right)} \sqrt{x}\right)} \sqrt{a x + b \sqrt{x}}}{3003 \, b^{7} x^{4}}"," ",0,"4/3003*(512*a^5*b*x^3 + 320*a^3*b^3*x^2 + 252*a*b^5*x - (1024*a^6*x^3 + 384*a^4*b^2*x^2 + 280*a^2*b^4*x + 231*b^6)*sqrt(x))*sqrt(a*x + b*sqrt(x))/(b^7*x^4)","A",0
110,-1,0,0,0.000000," ","integrate(x^3/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
111,-1,0,0,0.000000," ","integrate(x^2/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
112,-1,0,0,0.000000," ","integrate(x/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
113,1,36,0,0.770565," ","integrate(1/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{a x + b \sqrt{x}} {\left(a \sqrt{x} - b\right)}}{a^{2} b x - b^{3}}"," ",0,"4*sqrt(a*x + b*sqrt(x))*(a*sqrt(x) - b)/(a^2*b*x - b^3)","A",0
114,1,63,0,0.815455," ","integrate(1/x/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(4 \, a^{2} b x - b^{3} - {\left(8 \, a^{3} x - 5 \, a b^{2}\right)} \sqrt{x}\right)} \sqrt{a x + b \sqrt{x}}}{3 \, {\left(a^{2} b^{3} x^{2} - b^{5} x\right)}}"," ",0,"-4/3*(4*a^2*b*x - b^3 - (8*a^3*x - 5*a*b^2)*sqrt(x))*sqrt(a*x + b*sqrt(x))/(a^2*b^3*x^2 - b^5*x)","A",0
115,1,87,0,1.156803," ","integrate(1/x^2/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(64 \, a^{4} b x^{2} - 24 \, a^{2} b^{3} x - 5 \, b^{5} - {\left(128 \, a^{5} x^{2} - 80 \, a^{3} b^{2} x - 13 \, a b^{4}\right)} \sqrt{x}\right)} \sqrt{a x + b \sqrt{x}}}{35 \, {\left(a^{2} b^{5} x^{3} - b^{7} x^{2}\right)}}"," ",0,"-4/35*(64*a^4*b*x^2 - 24*a^2*b^3*x - 5*b^5 - (128*a^5*x^2 - 80*a^3*b^2*x - 13*a*b^4)*sqrt(x))*sqrt(a*x + b*sqrt(x))/(a^2*b^5*x^3 - b^7*x^2)","A",0
116,1,109,0,0.870121," ","integrate(1/x^3/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(512 \, a^{6} b x^{3} - 192 \, a^{4} b^{3} x^{2} - 68 \, a^{2} b^{5} x - 21 \, b^{7} - {\left(1024 \, a^{7} x^{3} - 640 \, a^{5} b^{2} x^{2} - 104 \, a^{3} b^{4} x - 49 \, a b^{6}\right)} \sqrt{x}\right)} \sqrt{a x + b \sqrt{x}}}{231 \, {\left(a^{2} b^{7} x^{4} - b^{9} x^{3}\right)}}"," ",0,"-4/231*(512*a^6*b*x^3 - 192*a^4*b^3*x^2 - 68*a^2*b^5*x - 21*b^7 - (1024*a^7*x^3 - 640*a^5*b^2*x^2 - 104*a^3*b^4*x - 49*a*b^6)*sqrt(x))*sqrt(a*x + b*sqrt(x))/(a^2*b^7*x^4 - b^9*x^3)","A",0
117,-1,0,0,0.000000," ","integrate(x^(5/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,-1,0,0,0.000000," ","integrate(x^(3/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
119,-1,0,0,0.000000," ","integrate(x^(1/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
120,-1,0,0,0.000000," ","integrate(1/x^(1/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
121,1,29,0,0.702954," ","integrate(1/x^(3/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{a x + b \sqrt{x}} {\left(2 \, a \sqrt{x} - b\right)}}{3 \, b^{2} x}"," ",0,"4/3*sqrt(a*x + b*sqrt(x))*(2*a*sqrt(x) - b)/(b^2*x)","A",0
122,1,50,0,0.851389," ","integrate(1/x^(5/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(8 \, a^{2} b x + 5 \, b^{3} - 2 \, {\left(8 \, a^{3} x + 3 \, a b^{2}\right)} \sqrt{x}\right)} \sqrt{a x + b \sqrt{x}}}{35 \, b^{4} x^{2}}"," ",0,"-4/35*(8*a^2*b*x + 5*b^3 - 2*(8*a^3*x + 3*a*b^2)*sqrt(x))*sqrt(a*x + b*sqrt(x))/(b^4*x^2)","A",0
123,1,72,0,0.710096," ","integrate(1/x^(7/2)/(b*x^(1/2)+a*x)^(1/2),x, algorithm=""fricas"")","-\frac{4 \, {\left(128 \, a^{4} b x^{2} + 80 \, a^{2} b^{3} x + 63 \, b^{5} - 2 \, {\left(128 \, a^{5} x^{2} + 48 \, a^{3} b^{2} x + 35 \, a b^{4}\right)} \sqrt{x}\right)} \sqrt{a x + b \sqrt{x}}}{693 \, b^{6} x^{3}}"," ",0,"-4/693*(128*a^4*b*x^2 + 80*a^2*b^3*x + 63*b^5 - 2*(128*a^5*x^2 + 48*a^3*b^2*x + 35*a*b^4)*sqrt(x))*sqrt(a*x + b*sqrt(x))/(b^6*x^3)","A",0
124,-1,0,0,0.000000," ","integrate(x^(5/2)/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
125,-1,0,0,0.000000," ","integrate(x^(3/2)/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
126,-1,0,0,0.000000," ","integrate(x^(1/2)/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
127,1,54,0,0.629011," ","integrate(1/x^(1/2)/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","\frac{4 \, {\left(a b x - {\left(2 \, a^{2} x - b^{2}\right)} \sqrt{x}\right)} \sqrt{a x + b \sqrt{x}}}{a^{2} b^{2} x^{2} - b^{4} x}"," ",0,"4*(a*b*x - (2*a^2*x - b^2)*sqrt(x))*sqrt(a*x + b*sqrt(x))/(a^2*b^2*x^2 - b^4*x)","B",0
128,1,79,0,0.645758," ","integrate(1/x^(3/2)/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","\frac{4 \, {\left(8 \, a^{3} b x^{2} - 3 \, a b^{3} x - {\left(16 \, a^{4} x^{2} - 10 \, a^{2} b^{2} x - b^{4}\right)} \sqrt{x}\right)} \sqrt{a x + b \sqrt{x}}}{5 \, {\left(a^{2} b^{4} x^{3} - b^{6} x^{2}\right)}}"," ",0,"4/5*(8*a^3*b*x^2 - 3*a*b^3*x - (16*a^4*x^2 - 10*a^2*b^2*x - b^4)*sqrt(x))*sqrt(a*x + b*sqrt(x))/(a^2*b^4*x^3 - b^6*x^2)","A",0
129,1,101,0,0.578558," ","integrate(1/x^(5/2)/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","\frac{4 \, {\left(128 \, a^{5} b x^{3} - 48 \, a^{3} b^{3} x^{2} - 17 \, a b^{5} x - {\left(256 \, a^{6} x^{3} - 160 \, a^{4} b^{2} x^{2} - 26 \, a^{2} b^{4} x - 7 \, b^{6}\right)} \sqrt{x}\right)} \sqrt{a x + b \sqrt{x}}}{63 \, {\left(a^{2} b^{6} x^{4} - b^{8} x^{3}\right)}}"," ",0,"4/63*(128*a^5*b*x^3 - 48*a^3*b^3*x^2 - 17*a*b^5*x - (256*a^6*x^3 - 160*a^4*b^2*x^2 - 26*a^2*b^4*x - 7*b^6)*sqrt(x))*sqrt(a*x + b*sqrt(x))/(a^2*b^6*x^4 - b^8*x^3)","A",0
130,1,123,0,0.479293," ","integrate(1/x^(7/2)/(b*x^(1/2)+a*x)^(3/2),x, algorithm=""fricas"")","\frac{4 \, {\left(1024 \, a^{7} b x^{4} - 384 \, a^{5} b^{3} x^{3} - 136 \, a^{3} b^{5} x^{2} - 75 \, a b^{7} x - {\left(2048 \, a^{8} x^{4} - 1280 \, a^{6} b^{2} x^{3} - 208 \, a^{4} b^{4} x^{2} - 98 \, a^{2} b^{6} x - 33 \, b^{8}\right)} \sqrt{x}\right)} \sqrt{a x + b \sqrt{x}}}{429 \, {\left(a^{2} b^{8} x^{5} - b^{10} x^{4}\right)}}"," ",0,"4/429*(1024*a^7*b*x^4 - 384*a^5*b^3*x^3 - 136*a^3*b^5*x^2 - 75*a*b^7*x - (2048*a^8*x^4 - 1280*a^6*b^2*x^3 - 208*a^4*b^4*x^2 - 98*a^2*b^6*x - 33*b^8)*sqrt(x))*sqrt(a*x + b*sqrt(x))/(a^2*b^8*x^5 - b^10*x^4)","A",0
131,0,0,0,1.020413," ","integrate(x^3*(b*x^(1/3)+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a x + b x^{\frac{1}{3}}} x^{3}, x\right)"," ",0,"integral(sqrt(a*x + b*x^(1/3))*x^3, x)","F",0
132,0,0,0,4.477672," ","integrate(x^2*(b*x^(1/3)+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a x + b x^{\frac{1}{3}}} x^{2}, x\right)"," ",0,"integral(sqrt(a*x + b*x^(1/3))*x^2, x)","F",0
133,0,0,0,0.931773," ","integrate(x*(b*x^(1/3)+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a x + b x^{\frac{1}{3}}} x, x\right)"," ",0,"integral(sqrt(a*x + b*x^(1/3))*x, x)","F",0
134,0,0,0,4.246098," ","integrate((b*x^(1/3)+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{a x + b x^{\frac{1}{3}}}, x\right)"," ",0,"integral(sqrt(a*x + b*x^(1/3)), x)","F",0
135,0,0,0,0.885472," ","integrate((b*x^(1/3)+a*x)^(1/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a x + b x^{\frac{1}{3}}}}{x}, x\right)"," ",0,"integral(sqrt(a*x + b*x^(1/3))/x, x)","F",0
136,0,0,0,4.175380," ","integrate((b*x^(1/3)+a*x)^(1/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a x + b x^{\frac{1}{3}}}}{x^{2}}, x\right)"," ",0,"integral(sqrt(a*x + b*x^(1/3))/x^2, x)","F",0
137,0,0,0,0.917616," ","integrate((b*x^(1/3)+a*x)^(1/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a x + b x^{\frac{1}{3}}}}{x^{3}}, x\right)"," ",0,"integral(sqrt(a*x + b*x^(1/3))/x^3, x)","F",0
138,0,0,0,4.418515," ","integrate((b*x^(1/3)+a*x)^(1/2)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a x + b x^{\frac{1}{3}}}}{x^{4}}, x\right)"," ",0,"integral(sqrt(a*x + b*x^(1/3))/x^4, x)","F",0
139,0,0,0,0.991074," ","integrate((b*x^(1/3)+a*x)^(1/2)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{a x + b x^{\frac{1}{3}}}}{x^{5}}, x\right)"," ",0,"integral(sqrt(a*x + b*x^(1/3))/x^5, x)","F",0
140,0,0,0,1.068368," ","integrate(x^2*(b*x^(1/3)+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(a x^{3} + b x^{\frac{7}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}, x\right)"," ",0,"integral((a*x^3 + b*x^(7/3))*sqrt(a*x + b*x^(1/3)), x)","F",0
141,0,0,0,4.586420," ","integrate(x*(b*x^(1/3)+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(a x^{2} + b x^{\frac{4}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}, x\right)"," ",0,"integral((a*x^2 + b*x^(4/3))*sqrt(a*x + b*x^(1/3)), x)","F",0
142,0,0,0,0.947669," ","integrate((b*x^(1/3)+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}, x\right)"," ",0,"integral((a*x + b*x^(1/3))^(3/2), x)","F",0
143,0,0,0,4.128646," ","integrate((b*x^(1/3)+a*x)^(3/2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}}{x}, x\right)"," ",0,"integral((a*x + b*x^(1/3))^(3/2)/x, x)","F",0
144,0,0,0,0.899428," ","integrate((b*x^(1/3)+a*x)^(3/2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}}{x^{2}}, x\right)"," ",0,"integral((a*x + b*x^(1/3))^(3/2)/x^2, x)","F",0
145,0,0,0,4.114838," ","integrate((b*x^(1/3)+a*x)^(3/2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}}{x^{3}}, x\right)"," ",0,"integral((a*x + b*x^(1/3))^(3/2)/x^3, x)","F",0
146,0,0,0,0.923720," ","integrate((b*x^(1/3)+a*x)^(3/2)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}}{x^{4}}, x\right)"," ",0,"integral((a*x + b*x^(1/3))^(3/2)/x^4, x)","F",0
147,0,0,0,4.421990," ","integrate((b*x^(1/3)+a*x)^(3/2)/x^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}}{x^{5}}, x\right)"," ",0,"integral((a*x + b*x^(1/3))^(3/2)/x^5, x)","F",0
148,0,0,0,1.036605," ","integrate((b*x^(1/3)+a*x)^(3/2)/x^6,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a x + b x^{\frac{1}{3}}\right)}^{\frac{3}{2}}}{x^{6}}, x\right)"," ",0,"integral((a*x + b*x^(1/3))^(3/2)/x^6, x)","F",0
149,0,0,0,1.064194," ","integrate(x^4/(b*x^(1/3)+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} x^{5} - a b x^{\frac{13}{3}} + b^{2} x^{\frac{11}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{3} x^{2} + b^{3}}, x\right)"," ",0,"integral((a^2*x^5 - a*b*x^(13/3) + b^2*x^(11/3))*sqrt(a*x + b*x^(1/3))/(a^3*x^2 + b^3), x)","F",0
150,0,0,0,4.649397," ","integrate(x^3/(b*x^(1/3)+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} x^{4} - a b x^{\frac{10}{3}} + b^{2} x^{\frac{8}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{3} x^{2} + b^{3}}, x\right)"," ",0,"integral((a^2*x^4 - a*b*x^(10/3) + b^2*x^(8/3))*sqrt(a*x + b*x^(1/3))/(a^3*x^2 + b^3), x)","F",0
151,0,0,0,0.954800," ","integrate(x^2/(b*x^(1/3)+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} x^{3} - a b x^{\frac{7}{3}} + b^{2} x^{\frac{5}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{3} x^{2} + b^{3}}, x\right)"," ",0,"integral((a^2*x^3 - a*b*x^(7/3) + b^2*x^(5/3))*sqrt(a*x + b*x^(1/3))/(a^3*x^2 + b^3), x)","F",0
152,0,0,0,4.308132," ","integrate(x/(b*x^(1/3)+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} x^{2} - a b x^{\frac{4}{3}} + b^{2} x^{\frac{2}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{3} x^{2} + b^{3}}, x\right)"," ",0,"integral((a^2*x^2 - a*b*x^(4/3) + b^2*x^(2/3))*sqrt(a*x + b*x^(1/3))/(a^3*x^2 + b^3), x)","F",0
153,0,0,0,0.910133," ","integrate(1/(b*x^(1/3)+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} x^{2} - a b x^{\frac{4}{3}} + b^{2} x^{\frac{2}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{3} x^{3} + b^{3} x}, x\right)"," ",0,"integral((a^2*x^2 - a*b*x^(4/3) + b^2*x^(2/3))*sqrt(a*x + b*x^(1/3))/(a^3*x^3 + b^3*x), x)","F",0
154,0,0,0,4.062523," ","integrate(1/x/(b*x^(1/3)+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} x^{2} - a b x^{\frac{4}{3}} + b^{2} x^{\frac{2}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{3} x^{4} + b^{3} x^{2}}, x\right)"," ",0,"integral((a^2*x^2 - a*b*x^(4/3) + b^2*x^(2/3))*sqrt(a*x + b*x^(1/3))/(a^3*x^4 + b^3*x^2), x)","F",0
155,0,0,0,0.923302," ","integrate(1/x^2/(b*x^(1/3)+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} x^{2} - a b x^{\frac{4}{3}} + b^{2} x^{\frac{2}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{3} x^{5} + b^{3} x^{3}}, x\right)"," ",0,"integral((a^2*x^2 - a*b*x^(4/3) + b^2*x^(2/3))*sqrt(a*x + b*x^(1/3))/(a^3*x^5 + b^3*x^3), x)","F",0
156,0,0,0,4.320140," ","integrate(1/x^3/(b*x^(1/3)+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} x^{2} - a b x^{\frac{4}{3}} + b^{2} x^{\frac{2}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{3} x^{6} + b^{3} x^{4}}, x\right)"," ",0,"integral((a^2*x^2 - a*b*x^(4/3) + b^2*x^(2/3))*sqrt(a*x + b*x^(1/3))/(a^3*x^6 + b^3*x^4), x)","F",0
157,0,0,0,0.983048," ","integrate(1/x^4/(b*x^(1/3)+a*x)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{2} x^{2} - a b x^{\frac{4}{3}} + b^{2} x^{\frac{2}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{3} x^{7} + b^{3} x^{5}}, x\right)"," ",0,"integral((a^2*x^2 - a*b*x^(4/3) + b^2*x^(2/3))*sqrt(a*x + b*x^(1/3))/(a^3*x^7 + b^3*x^5), x)","F",0
158,0,0,0,4.988179," ","integrate(x^4/(b*x^(1/3)+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{4} x^{6} + 3 \, a^{2} b^{2} x^{\frac{14}{3}} - 2 \, a b^{3} x^{4} - {\left(2 \, a^{3} b x^{5} - b^{4} x^{3}\right)} x^{\frac{1}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{6} x^{4} + 2 \, a^{3} b^{3} x^{2} + b^{6}}, x\right)"," ",0,"integral((a^4*x^6 + 3*a^2*b^2*x^(14/3) - 2*a*b^3*x^4 - (2*a^3*b*x^5 - b^4*x^3)*x^(1/3))*sqrt(a*x + b*x^(1/3))/(a^6*x^4 + 2*a^3*b^3*x^2 + b^6), x)","F",0
159,0,0,0,1.127743," ","integrate(x^3/(b*x^(1/3)+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{4} x^{5} + 3 \, a^{2} b^{2} x^{\frac{11}{3}} - 2 \, a b^{3} x^{3} - {\left(2 \, a^{3} b x^{4} - b^{4} x^{2}\right)} x^{\frac{1}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{6} x^{4} + 2 \, a^{3} b^{3} x^{2} + b^{6}}, x\right)"," ",0,"integral((a^4*x^5 + 3*a^2*b^2*x^(11/3) - 2*a*b^3*x^3 - (2*a^3*b*x^4 - b^4*x^2)*x^(1/3))*sqrt(a*x + b*x^(1/3))/(a^6*x^4 + 2*a^3*b^3*x^2 + b^6), x)","F",0
160,0,0,0,4.698445," ","integrate(x^2/(b*x^(1/3)+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{4} x^{4} + 3 \, a^{2} b^{2} x^{\frac{8}{3}} - 2 \, a b^{3} x^{2} - {\left(2 \, a^{3} b x^{3} - b^{4} x\right)} x^{\frac{1}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{6} x^{4} + 2 \, a^{3} b^{3} x^{2} + b^{6}}, x\right)"," ",0,"integral((a^4*x^4 + 3*a^2*b^2*x^(8/3) - 2*a*b^3*x^2 - (2*a^3*b*x^3 - b^4*x)*x^(1/3))*sqrt(a*x + b*x^(1/3))/(a^6*x^4 + 2*a^3*b^3*x^2 + b^6), x)","F",0
161,0,0,0,1.030256," ","integrate(x/(b*x^(1/3)+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{4} x^{3} + 3 \, a^{2} b^{2} x^{\frac{5}{3}} - 2 \, a b^{3} x - {\left(2 \, a^{3} b x^{2} - b^{4}\right)} x^{\frac{1}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{6} x^{4} + 2 \, a^{3} b^{3} x^{2} + b^{6}}, x\right)"," ",0,"integral((a^4*x^3 + 3*a^2*b^2*x^(5/3) - 2*a*b^3*x - (2*a^3*b*x^2 - b^4)*x^(1/3))*sqrt(a*x + b*x^(1/3))/(a^6*x^4 + 2*a^3*b^3*x^2 + b^6), x)","F",0
162,0,0,0,4.257242," ","integrate(1/(b*x^(1/3)+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{4} x^{3} + 3 \, a^{2} b^{2} x^{\frac{5}{3}} - 2 \, a b^{3} x - {\left(2 \, a^{3} b x^{2} - b^{4}\right)} x^{\frac{1}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{6} x^{5} + 2 \, a^{3} b^{3} x^{3} + b^{6} x}, x\right)"," ",0,"integral((a^4*x^3 + 3*a^2*b^2*x^(5/3) - 2*a*b^3*x - (2*a^3*b*x^2 - b^4)*x^(1/3))*sqrt(a*x + b*x^(1/3))/(a^6*x^5 + 2*a^3*b^3*x^3 + b^6*x), x)","F",0
163,0,0,0,1.050755," ","integrate(1/x/(b*x^(1/3)+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{4} x^{3} + 3 \, a^{2} b^{2} x^{\frac{5}{3}} - 2 \, a b^{3} x - {\left(2 \, a^{3} b x^{2} - b^{4}\right)} x^{\frac{1}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{6} x^{6} + 2 \, a^{3} b^{3} x^{4} + b^{6} x^{2}}, x\right)"," ",0,"integral((a^4*x^3 + 3*a^2*b^2*x^(5/3) - 2*a*b^3*x - (2*a^3*b*x^2 - b^4)*x^(1/3))*sqrt(a*x + b*x^(1/3))/(a^6*x^6 + 2*a^3*b^3*x^4 + b^6*x^2), x)","F",0
164,0,0,0,4.557876," ","integrate(1/x^2/(b*x^(1/3)+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{4} x^{3} + 3 \, a^{2} b^{2} x^{\frac{5}{3}} - 2 \, a b^{3} x - {\left(2 \, a^{3} b x^{2} - b^{4}\right)} x^{\frac{1}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{6} x^{7} + 2 \, a^{3} b^{3} x^{5} + b^{6} x^{3}}, x\right)"," ",0,"integral((a^4*x^3 + 3*a^2*b^2*x^(5/3) - 2*a*b^3*x - (2*a^3*b*x^2 - b^4)*x^(1/3))*sqrt(a*x + b*x^(1/3))/(a^6*x^7 + 2*a^3*b^3*x^5 + b^6*x^3), x)","F",0
165,0,0,0,1.058187," ","integrate(1/x^3/(b*x^(1/3)+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{4} x^{3} + 3 \, a^{2} b^{2} x^{\frac{5}{3}} - 2 \, a b^{3} x - {\left(2 \, a^{3} b x^{2} - b^{4}\right)} x^{\frac{1}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{6} x^{8} + 2 \, a^{3} b^{3} x^{6} + b^{6} x^{4}}, x\right)"," ",0,"integral((a^4*x^3 + 3*a^2*b^2*x^(5/3) - 2*a*b^3*x - (2*a^3*b*x^2 - b^4)*x^(1/3))*sqrt(a*x + b*x^(1/3))/(a^6*x^8 + 2*a^3*b^3*x^6 + b^6*x^4), x)","F",0
166,0,0,0,4.696524," ","integrate(1/x^4/(b*x^(1/3)+a*x)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a^{4} x^{3} + 3 \, a^{2} b^{2} x^{\frac{5}{3}} - 2 \, a b^{3} x - {\left(2 \, a^{3} b x^{2} - b^{4}\right)} x^{\frac{1}{3}}\right)} \sqrt{a x + b x^{\frac{1}{3}}}}{a^{6} x^{9} + 2 \, a^{3} b^{3} x^{7} + b^{6} x^{5}}, x\right)"," ",0,"integral((a^4*x^3 + 3*a^2*b^2*x^(5/3) - 2*a*b^3*x - (2*a^3*b*x^2 - b^4)*x^(1/3))*sqrt(a*x + b*x^(1/3))/(a^6*x^9 + 2*a^3*b^3*x^7 + b^6*x^5), x)","F",0
167,-1,0,0,0.000000," ","integrate(x^3*(b*x^(2/3)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,-1,0,0,0.000000," ","integrate(x^2*(b*x^(2/3)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
169,-1,0,0,0.000000," ","integrate(x*(b*x^(2/3)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
170,-1,0,0,0.000000," ","integrate((b*x^(2/3)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,-1,0,0,0.000000," ","integrate((b*x^(2/3)+a*x)^(1/2)/x,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
172,-1,0,0,0.000000," ","integrate((b*x^(2/3)+a*x)^(1/2)/x^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
173,-1,0,0,0.000000," ","integrate((b*x^(2/3)+a*x)^(1/2)/x^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
174,-1,0,0,0.000000," ","integrate((b*x^(2/3)+a*x)^(1/2)/x^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
175,-1,0,0,0.000000," ","integrate((b*x^(2/3)+a*x)^(1/2)/x^5,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
176,-1,0,0,0.000000," ","integrate(x^2*(b*x^(2/3)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
177,-1,0,0,0.000000," ","integrate(x*(b*x^(2/3)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
178,-1,0,0,0.000000," ","integrate((b*x^(2/3)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
179,-1,0,0,0.000000," ","integrate((b*x^(2/3)+a*x)^(3/2)/x,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
180,-1,0,0,0.000000," ","integrate((b*x^(2/3)+a*x)^(3/2)/x^2,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
181,-1,0,0,0.000000," ","integrate((b*x^(2/3)+a*x)^(3/2)/x^3,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
182,-1,0,0,0.000000," ","integrate((b*x^(2/3)+a*x)^(3/2)/x^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
183,-1,0,0,0.000000," ","integrate((b*x^(2/3)+a*x)^(3/2)/x^5,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,-1,0,0,0.000000," ","integrate((b*x^(2/3)+a*x)^(3/2)/x^6,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
185,-1,0,0,0.000000," ","integrate(x^4/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
186,-1,0,0,0.000000," ","integrate(x^3/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
187,-1,0,0,0.000000," ","integrate(x^2/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
188,-1,0,0,0.000000," ","integrate(x/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
189,-1,0,0,0.000000," ","integrate(1/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
190,-1,0,0,0.000000," ","integrate(1/x/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
191,-1,0,0,0.000000," ","integrate(1/x^2/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
192,-1,0,0,0.000000," ","integrate(1/x^3/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
193,-1,0,0,0.000000," ","integrate(1/x^4/(b*x^(2/3)+a*x)^(1/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
194,-1,0,0,0.000000," ","integrate(x^4/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
195,-1,0,0,0.000000," ","integrate(x^3/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
196,-1,0,0,0.000000," ","integrate(x^2/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
197,-1,0,0,0.000000," ","integrate(x/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
198,-1,0,0,0.000000," ","integrate(1/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
199,-1,0,0,0.000000," ","integrate(1/x/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
200,-1,0,0,0.000000," ","integrate(1/x^2/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
201,-1,0,0,0.000000," ","integrate(1/x^3/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
202,-1,0,0,0.000000," ","integrate(1/x^4/(b*x^(2/3)+a*x)^(3/2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
203,1,13,0,0.396559," ","integrate(x^2*(b*x^3+a*x^2),x, algorithm=""fricas"")","\frac{1}{6} x^{6} b + \frac{1}{5} x^{5} a"," ",0,"1/6*x^6*b + 1/5*x^5*a","A",0
204,1,13,0,0.440335," ","integrate(x*(b*x^3+a*x^2),x, algorithm=""fricas"")","\frac{1}{5} x^{5} b + \frac{1}{4} x^{4} a"," ",0,"1/5*x^5*b + 1/4*x^4*a","A",0
205,1,13,0,0.505401," ","integrate(b*x^3+a*x^2,x, algorithm=""fricas"")","\frac{1}{4} x^{4} b + \frac{1}{3} x^{3} a"," ",0,"1/4*x^4*b + 1/3*x^3*a","A",0
206,1,13,0,0.614234," ","integrate((b*x^3+a*x^2)/x,x, algorithm=""fricas"")","\frac{1}{3} \, b x^{3} + \frac{1}{2} \, a x^{2}"," ",0,"1/3*b*x^3 + 1/2*a*x^2","A",0
207,1,10,0,0.501195," ","integrate((b*x^3+a*x^2)/x^2,x, algorithm=""fricas"")","\frac{1}{2} \, b x^{2} + a x"," ",0,"1/2*b*x^2 + a*x","A",0
208,1,24,0,0.344732," ","integrate(x^2*(b*x^3+a*x^2)^2,x, algorithm=""fricas"")","\frac{1}{9} x^{9} b^{2} + \frac{1}{4} x^{8} b a + \frac{1}{7} x^{7} a^{2}"," ",0,"1/9*x^9*b^2 + 1/4*x^8*b*a + 1/7*x^7*a^2","A",0
209,1,24,0,0.336371," ","integrate(x*(b*x^3+a*x^2)^2,x, algorithm=""fricas"")","\frac{1}{8} x^{8} b^{2} + \frac{2}{7} x^{7} b a + \frac{1}{6} x^{6} a^{2}"," ",0,"1/8*x^8*b^2 + 2/7*x^7*b*a + 1/6*x^6*a^2","A",0
210,1,24,0,0.353101," ","integrate((b*x^3+a*x^2)^2,x, algorithm=""fricas"")","\frac{1}{7} x^{7} b^{2} + \frac{1}{3} x^{6} b a + \frac{1}{5} x^{5} a^{2}"," ",0,"1/7*x^7*b^2 + 1/3*x^6*b*a + 1/5*x^5*a^2","A",0
211,1,24,0,0.387172," ","integrate((b*x^3+a*x^2)^2/x,x, algorithm=""fricas"")","\frac{1}{6} \, b^{2} x^{6} + \frac{2}{5} \, a b x^{5} + \frac{1}{4} \, a^{2} x^{4}"," ",0,"1/6*b^2*x^6 + 2/5*a*b*x^5 + 1/4*a^2*x^4","A",0
212,1,24,0,0.383449," ","integrate((b*x^3+a*x^2)^2/x^2,x, algorithm=""fricas"")","\frac{1}{5} \, b^{2} x^{5} + \frac{1}{2} \, a b x^{4} + \frac{1}{3} \, a^{2} x^{3}"," ",0,"1/5*b^2*x^5 + 1/2*a*b*x^4 + 1/3*a^2*x^3","A",0
213,1,52,0,0.389899," ","integrate(x^6/(b*x^3+a*x^2),x, algorithm=""fricas"")","\frac{3 \, b^{4} x^{4} - 4 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} - 12 \, a^{3} b x + 12 \, a^{4} \log\left(b x + a\right)}{12 \, b^{5}}"," ",0,"1/12*(3*b^4*x^4 - 4*a*b^3*x^3 + 6*a^2*b^2*x^2 - 12*a^3*b*x + 12*a^4*log(b*x + a))/b^5","A",0
214,1,41,0,0.395567," ","integrate(x^5/(b*x^3+a*x^2),x, algorithm=""fricas"")","\frac{2 \, b^{3} x^{3} - 3 \, a b^{2} x^{2} + 6 \, a^{2} b x - 6 \, a^{3} \log\left(b x + a\right)}{6 \, b^{4}}"," ",0,"1/6*(2*b^3*x^3 - 3*a*b^2*x^2 + 6*a^2*b*x - 6*a^3*log(b*x + a))/b^4","A",0
215,1,29,0,0.387259," ","integrate(x^4/(b*x^3+a*x^2),x, algorithm=""fricas"")","\frac{b^{2} x^{2} - 2 \, a b x + 2 \, a^{2} \log\left(b x + a\right)}{2 \, b^{3}}"," ",0,"1/2*(b^2*x^2 - 2*a*b*x + 2*a^2*log(b*x + a))/b^3","A",0
216,1,17,0,0.375610," ","integrate(x^3/(b*x^3+a*x^2),x, algorithm=""fricas"")","\frac{b x - a \log\left(b x + a\right)}{b^{2}}"," ",0,"(b*x - a*log(b*x + a))/b^2","A",0
217,1,10,0,0.376257," ","integrate(x^2/(b*x^3+a*x^2),x, algorithm=""fricas"")","\frac{\log\left(b x + a\right)}{b}"," ",0,"log(b*x + a)/b","A",0
218,1,16,0,0.384675," ","integrate(x/(b*x^3+a*x^2),x, algorithm=""fricas"")","-\frac{\log\left(b x + a\right) - \log\left(x\right)}{a}"," ",0,"-(log(b*x + a) - log(x))/a","A",0
219,1,26,0,0.396365," ","integrate(1/(b*x^3+a*x^2),x, algorithm=""fricas"")","\frac{b x \log\left(b x + a\right) - b x \log\left(x\right) - a}{a^{2} x}"," ",0,"(b*x*log(b*x + a) - b*x*log(x) - a)/(a^2*x)","A",0
220,1,41,0,0.394972," ","integrate(1/x/(b*x^3+a*x^2),x, algorithm=""fricas"")","-\frac{2 \, b^{2} x^{2} \log\left(b x + a\right) - 2 \, b^{2} x^{2} \log\left(x\right) - 2 \, a b x + a^{2}}{2 \, a^{3} x^{2}}"," ",0,"-1/2*(2*b^2*x^2*log(b*x + a) - 2*b^2*x^2*log(x) - 2*a*b*x + a^2)/(a^3*x^2)","A",0
221,1,54,0,0.384979," ","integrate(1/x^2/(b*x^3+a*x^2),x, algorithm=""fricas"")","\frac{6 \, b^{3} x^{3} \log\left(b x + a\right) - 6 \, b^{3} x^{3} \log\left(x\right) - 6 \, a b^{2} x^{2} + 3 \, a^{2} b x - 2 \, a^{3}}{6 \, a^{4} x^{3}}"," ",0,"1/6*(6*b^3*x^3*log(b*x + a) - 6*b^3*x^3*log(x) - 6*a*b^2*x^2 + 3*a^2*b*x - 2*a^3)/(a^4*x^3)","A",0
222,1,73,0,0.379529," ","integrate(x^8/(b*x^3+a*x^2)^2,x, algorithm=""fricas"")","\frac{b^{4} x^{4} - 2 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 9 \, a^{3} b x - 3 \, a^{4} - 12 \, {\left(a^{3} b x + a^{4}\right)} \log\left(b x + a\right)}{3 \, {\left(b^{6} x + a b^{5}\right)}}"," ",0,"1/3*(b^4*x^4 - 2*a*b^3*x^3 + 6*a^2*b^2*x^2 + 9*a^3*b*x - 3*a^4 - 12*(a^3*b*x + a^4)*log(b*x + a))/(b^6*x + a*b^5)","A",0
223,1,62,0,0.385019," ","integrate(x^7/(b*x^3+a*x^2)^2,x, algorithm=""fricas"")","\frac{b^{3} x^{3} - 3 \, a b^{2} x^{2} - 4 \, a^{2} b x + 2 \, a^{3} + 6 \, {\left(a^{2} b x + a^{3}\right)} \log\left(b x + a\right)}{2 \, {\left(b^{5} x + a b^{4}\right)}}"," ",0,"1/2*(b^3*x^3 - 3*a*b^2*x^2 - 4*a^2*b*x + 2*a^3 + 6*(a^2*b*x + a^3)*log(b*x + a))/(b^5*x + a*b^4)","A",0
224,1,47,0,0.387068," ","integrate(x^6/(b*x^3+a*x^2)^2,x, algorithm=""fricas"")","\frac{b^{2} x^{2} + a b x - a^{2} - 2 \, {\left(a b x + a^{2}\right)} \log\left(b x + a\right)}{b^{4} x + a b^{3}}"," ",0,"(b^2*x^2 + a*b*x - a^2 - 2*(a*b*x + a^2)*log(b*x + a))/(b^4*x + a*b^3)","A",0
225,1,28,0,0.383357," ","integrate(x^5/(b*x^3+a*x^2)^2,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \log\left(b x + a\right) + a}{b^{3} x + a b^{2}}"," ",0,"((b*x + a)*log(b*x + a) + a)/(b^3*x + a*b^2)","A",0
226,1,13,0,0.378235," ","integrate(x^4/(b*x^3+a*x^2)^2,x, algorithm=""fricas"")","-\frac{1}{b^{2} x + a b}"," ",0,"-1/(b^2*x + a*b)","A",0
227,1,39,0,0.378989," ","integrate(x^3/(b*x^3+a*x^2)^2,x, algorithm=""fricas"")","-\frac{{\left(b x + a\right)} \log\left(b x + a\right) - {\left(b x + a\right)} \log\left(x\right) - a}{a^{2} b x + a^{3}}"," ",0,"-((b*x + a)*log(b*x + a) - (b*x + a)*log(x) - a)/(a^2*b*x + a^3)","A",0
228,1,63,0,0.398840," ","integrate(x^2/(b*x^3+a*x^2)^2,x, algorithm=""fricas"")","-\frac{2 \, a b x + a^{2} - 2 \, {\left(b^{2} x^{2} + a b x\right)} \log\left(b x + a\right) + 2 \, {\left(b^{2} x^{2} + a b x\right)} \log\left(x\right)}{a^{3} b x^{2} + a^{4} x}"," ",0,"-(2*a*b*x + a^2 - 2*(b^2*x^2 + a*b*x)*log(b*x + a) + 2*(b^2*x^2 + a*b*x)*log(x))/(a^3*b*x^2 + a^4*x)","A",0
229,1,86,0,0.402092," ","integrate(x/(b*x^3+a*x^2)^2,x, algorithm=""fricas"")","\frac{6 \, a b^{2} x^{2} + 3 \, a^{2} b x - a^{3} - 6 \, {\left(b^{3} x^{3} + a b^{2} x^{2}\right)} \log\left(b x + a\right) + 6 \, {\left(b^{3} x^{3} + a b^{2} x^{2}\right)} \log\left(x\right)}{2 \, {\left(a^{4} b x^{3} + a^{5} x^{2}\right)}}"," ",0,"1/2*(6*a*b^2*x^2 + 3*a^2*b*x - a^3 - 6*(b^3*x^3 + a*b^2*x^2)*log(b*x + a) + 6*(b^3*x^3 + a*b^2*x^2)*log(x))/(a^4*b*x^3 + a^5*x^2)","A",0
230,1,95,0,0.393804," ","integrate(1/(b*x^3+a*x^2)^2,x, algorithm=""fricas"")","-\frac{12 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} - 2 \, a^{3} b x + a^{4} - 12 \, {\left(b^{4} x^{4} + a b^{3} x^{3}\right)} \log\left(b x + a\right) + 12 \, {\left(b^{4} x^{4} + a b^{3} x^{3}\right)} \log\left(x\right)}{3 \, {\left(a^{5} b x^{4} + a^{6} x^{3}\right)}}"," ",0,"-1/3*(12*a*b^3*x^3 + 6*a^2*b^2*x^2 - 2*a^3*b*x + a^4 - 12*(b^4*x^4 + a*b^3*x^3)*log(b*x + a) + 12*(b^4*x^4 + a*b^3*x^3)*log(x))/(a^5*b*x^4 + a^6*x^3)","A",0
231,1,108,0,0.398100," ","integrate(1/x/(b*x^3+a*x^2)^2,x, algorithm=""fricas"")","\frac{60 \, a b^{4} x^{4} + 30 \, a^{2} b^{3} x^{3} - 10 \, a^{3} b^{2} x^{2} + 5 \, a^{4} b x - 3 \, a^{5} - 60 \, {\left(b^{5} x^{5} + a b^{4} x^{4}\right)} \log\left(b x + a\right) + 60 \, {\left(b^{5} x^{5} + a b^{4} x^{4}\right)} \log\left(x\right)}{12 \, {\left(a^{6} b x^{5} + a^{7} x^{4}\right)}}"," ",0,"1/12*(60*a*b^4*x^4 + 30*a^2*b^3*x^3 - 10*a^3*b^2*x^2 + 5*a^4*b*x - 3*a^5 - 60*(b^5*x^5 + a*b^4*x^4)*log(b*x + a) + 60*(b^5*x^5 + a*b^4*x^4)*log(x))/(a^6*b*x^5 + a^7*x^4)","A",0
232,1,62,0,0.380618," ","integrate(x^2*(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(35 \, b^{4} x^{4} + 5 \, a b^{3} x^{3} - 6 \, a^{2} b^{2} x^{2} + 8 \, a^{3} b x - 16 \, a^{4}\right)} \sqrt{b x^{3} + a x^{2}}}{315 \, b^{4} x}"," ",0,"2/315*(35*b^4*x^4 + 5*a*b^3*x^3 - 6*a^2*b^2*x^2 + 8*a^3*b*x - 16*a^4)*sqrt(b*x^3 + a*x^2)/(b^4*x)","A",0
233,1,51,0,0.392825," ","integrate(x*(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(15 \, b^{3} x^{3} + 3 \, a b^{2} x^{2} - 4 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x^{3} + a x^{2}}}{105 \, b^{3} x}"," ",0,"2/105*(15*b^3*x^3 + 3*a*b^2*x^2 - 4*a^2*b*x + 8*a^3)*sqrt(b*x^3 + a*x^2)/(b^3*x)","A",0
234,1,39,0,0.381777," ","integrate((b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} x^{2} + a b x - 2 \, a^{2}\right)} \sqrt{b x^{3} + a x^{2}}}{15 \, b^{2} x}"," ",0,"2/15*(3*b^2*x^2 + a*b*x - 2*a^2)*sqrt(b*x^3 + a*x^2)/(b^2*x)","A",0
235,1,26,0,0.401957," ","integrate((b*x^3+a*x^2)^(1/2)/x,x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{3} + a x^{2}} {\left(b x + a\right)}}{3 \, b x}"," ",0,"2/3*sqrt(b*x^3 + a*x^2)*(b*x + a)/(b*x)","A",0
236,1,111,0,0.410512," ","integrate((b*x^3+a*x^2)^(1/2)/x^2,x, algorithm=""fricas"")","\left[\frac{\sqrt{a} x \log\left(\frac{b x^{2} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) + 2 \, \sqrt{b x^{3} + a x^{2}}}{x}, \frac{2 \, {\left(\sqrt{-a} x \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + \sqrt{b x^{3} + a x^{2}}\right)}}{x}\right]"," ",0,"[(sqrt(a)*x*log((b*x^2 + 2*a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) + 2*sqrt(b*x^3 + a*x^2))/x, 2*(sqrt(-a)*x*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + sqrt(b*x^3 + a*x^2))/x]","A",0
237,1,127,0,0.409002," ","integrate((b*x^3+a*x^2)^(1/2)/x^3,x, algorithm=""fricas"")","\left[\frac{\sqrt{a} b x^{2} \log\left(\frac{b x^{2} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) - 2 \, \sqrt{b x^{3} + a x^{2}} a}{2 \, a x^{2}}, \frac{\sqrt{-a} b x^{2} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) - \sqrt{b x^{3} + a x^{2}} a}{a x^{2}}\right]"," ",0,"[1/2*(sqrt(a)*b*x^2*log((b*x^2 + 2*a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) - 2*sqrt(b*x^3 + a*x^2)*a)/(a*x^2), (sqrt(-a)*b*x^2*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) - sqrt(b*x^3 + a*x^2)*a)/(a*x^2)]","A",0
238,1,149,0,0.419483," ","integrate((b*x^3+a*x^2)^(1/2)/x^4,x, algorithm=""fricas"")","\left[\frac{\sqrt{a} b^{2} x^{3} \log\left(\frac{b x^{2} + 2 \, a x + 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) - 2 \, \sqrt{b x^{3} + a x^{2}} {\left(a b x + 2 \, a^{2}\right)}}{8 \, a^{2} x^{3}}, -\frac{\sqrt{-a} b^{2} x^{3} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + \sqrt{b x^{3} + a x^{2}} {\left(a b x + 2 \, a^{2}\right)}}{4 \, a^{2} x^{3}}\right]"," ",0,"[1/8*(sqrt(a)*b^2*x^3*log((b*x^2 + 2*a*x + 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) - 2*sqrt(b*x^3 + a*x^2)*(a*b*x + 2*a^2))/(a^2*x^3), -1/4*(sqrt(-a)*b^2*x^3*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + sqrt(b*x^3 + a*x^2)*(a*b*x + 2*a^2))/(a^2*x^3)]","A",0
239,1,175,0,0.406832," ","integrate((b*x^3+a*x^2)^(1/2)/x^5,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{3} x^{4} \log\left(\frac{b x^{2} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) + 2 \, {\left(3 \, a b^{2} x^{2} - 2 \, a^{2} b x - 8 \, a^{3}\right)} \sqrt{b x^{3} + a x^{2}}}{48 \, a^{3} x^{4}}, \frac{3 \, \sqrt{-a} b^{3} x^{4} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + {\left(3 \, a b^{2} x^{2} - 2 \, a^{2} b x - 8 \, a^{3}\right)} \sqrt{b x^{3} + a x^{2}}}{24 \, a^{3} x^{4}}\right]"," ",0,"[1/48*(3*sqrt(a)*b^3*x^4*log((b*x^2 + 2*a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) + 2*(3*a*b^2*x^2 - 2*a^2*b*x - 8*a^3)*sqrt(b*x^3 + a*x^2))/(a^3*x^4), 1/24*(3*sqrt(-a)*b^3*x^4*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + (3*a*b^2*x^2 - 2*a^2*b*x - 8*a^3)*sqrt(b*x^3 + a*x^2))/(a^3*x^4)]","A",0
240,1,95,0,0.398618," ","integrate(x^2*(b*x^3+a*x^2)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3003 \, b^{7} x^{7} + 3696 \, a b^{6} x^{6} + 63 \, a^{2} b^{5} x^{5} - 70 \, a^{3} b^{4} x^{4} + 80 \, a^{4} b^{3} x^{3} - 96 \, a^{5} b^{2} x^{2} + 128 \, a^{6} b x - 256 \, a^{7}\right)} \sqrt{b x^{3} + a x^{2}}}{45045 \, b^{6} x}"," ",0,"2/45045*(3003*b^7*x^7 + 3696*a*b^6*x^6 + 63*a^2*b^5*x^5 - 70*a^3*b^4*x^4 + 80*a^4*b^3*x^3 - 96*a^5*b^2*x^2 + 128*a^6*b*x - 256*a^7)*sqrt(b*x^3 + a*x^2)/(b^6*x)","A",0
241,1,84,0,0.391218," ","integrate(x*(b*x^3+a*x^2)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(1155 \, b^{6} x^{6} + 1470 \, a b^{5} x^{5} + 35 \, a^{2} b^{4} x^{4} - 40 \, a^{3} b^{3} x^{3} + 48 \, a^{4} b^{2} x^{2} - 64 \, a^{5} b x + 128 \, a^{6}\right)} \sqrt{b x^{3} + a x^{2}}}{15015 \, b^{5} x}"," ",0,"2/15015*(1155*b^6*x^6 + 1470*a*b^5*x^5 + 35*a^2*b^4*x^4 - 40*a^3*b^3*x^3 + 48*a^4*b^2*x^2 - 64*a^5*b*x + 128*a^6)*sqrt(b*x^3 + a*x^2)/(b^5*x)","A",0
242,1,73,0,0.398801," ","integrate((b*x^3+a*x^2)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(105 \, b^{5} x^{5} + 140 \, a b^{4} x^{4} + 5 \, a^{2} b^{3} x^{3} - 6 \, a^{3} b^{2} x^{2} + 8 \, a^{4} b x - 16 \, a^{5}\right)} \sqrt{b x^{3} + a x^{2}}}{1155 \, b^{4} x}"," ",0,"2/1155*(105*b^5*x^5 + 140*a*b^4*x^4 + 5*a^2*b^3*x^3 - 6*a^3*b^2*x^2 + 8*a^4*b*x - 16*a^5)*sqrt(b*x^3 + a*x^2)/(b^4*x)","A",0
243,1,62,0,0.397298," ","integrate((b*x^3+a*x^2)^(3/2)/x,x, algorithm=""fricas"")","\frac{2 \, {\left(35 \, b^{4} x^{4} + 50 \, a b^{3} x^{3} + 3 \, a^{2} b^{2} x^{2} - 4 \, a^{3} b x + 8 \, a^{4}\right)} \sqrt{b x^{3} + a x^{2}}}{315 \, b^{3} x}"," ",0,"2/315*(35*b^4*x^4 + 50*a*b^3*x^3 + 3*a^2*b^2*x^2 - 4*a^3*b*x + 8*a^4)*sqrt(b*x^3 + a*x^2)/(b^3*x)","A",0
244,1,50,0,0.390289," ","integrate((b*x^3+a*x^2)^(3/2)/x^2,x, algorithm=""fricas"")","\frac{2 \, {\left(5 \, b^{3} x^{3} + 8 \, a b^{2} x^{2} + a^{2} b x - 2 \, a^{3}\right)} \sqrt{b x^{3} + a x^{2}}}{35 \, b^{2} x}"," ",0,"2/35*(5*b^3*x^3 + 8*a*b^2*x^2 + a^2*b*x - 2*a^3)*sqrt(b*x^3 + a*x^2)/(b^2*x)","A",0
245,1,37,0,0.401172," ","integrate((b*x^3+a*x^2)^(3/2)/x^3,x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} \sqrt{b x^{3} + a x^{2}}}{5 \, b x}"," ",0,"2/5*(b^2*x^2 + 2*a*b*x + a^2)*sqrt(b*x^3 + a*x^2)/(b*x)","A",0
246,1,130,0,0.416607," ","integrate((b*x^3+a*x^2)^(3/2)/x^4,x, algorithm=""fricas"")","\left[\frac{3 \, a^{\frac{3}{2}} x \log\left(\frac{b x^{2} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) + 2 \, \sqrt{b x^{3} + a x^{2}} {\left(b x + 4 \, a\right)}}{3 \, x}, \frac{2 \, {\left(3 \, \sqrt{-a} a x \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + \sqrt{b x^{3} + a x^{2}} {\left(b x + 4 \, a\right)}\right)}}{3 \, x}\right]"," ",0,"[1/3*(3*a^(3/2)*x*log((b*x^2 + 2*a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) + 2*sqrt(b*x^3 + a*x^2)*(b*x + 4*a))/x, 2/3*(3*sqrt(-a)*a*x*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + sqrt(b*x^3 + a*x^2)*(b*x + 4*a))/x]","A",0
247,1,136,0,0.431581," ","integrate((b*x^3+a*x^2)^(3/2)/x^5,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b x^{2} \log\left(\frac{b x^{2} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) + 2 \, \sqrt{b x^{3} + a x^{2}} {\left(2 \, b x - a\right)}}{2 \, x^{2}}, \frac{3 \, \sqrt{-a} b x^{2} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + \sqrt{b x^{3} + a x^{2}} {\left(2 \, b x - a\right)}}{x^{2}}\right]"," ",0,"[1/2*(3*sqrt(a)*b*x^2*log((b*x^2 + 2*a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) + 2*sqrt(b*x^3 + a*x^2)*(2*b*x - a))/x^2, (3*sqrt(-a)*b*x^2*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + sqrt(b*x^3 + a*x^2)*(2*b*x - a))/x^2]","A",0
248,1,154,0,0.431433," ","integrate((b*x^3+a*x^2)^(3/2)/x^6,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{2} x^{3} \log\left(\frac{b x^{2} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) - 2 \, \sqrt{b x^{3} + a x^{2}} {\left(5 \, a b x + 2 \, a^{2}\right)}}{8 \, a x^{3}}, \frac{3 \, \sqrt{-a} b^{2} x^{3} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) - \sqrt{b x^{3} + a x^{2}} {\left(5 \, a b x + 2 \, a^{2}\right)}}{4 \, a x^{3}}\right]"," ",0,"[1/8*(3*sqrt(a)*b^2*x^3*log((b*x^2 + 2*a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) - 2*sqrt(b*x^3 + a*x^2)*(5*a*b*x + 2*a^2))/(a*x^3), 1/4*(3*sqrt(-a)*b^2*x^3*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) - sqrt(b*x^3 + a*x^2)*(5*a*b*x + 2*a^2))/(a*x^3)]","A",0
249,1,175,0,0.432993," ","integrate((b*x^3+a*x^2)^(3/2)/x^7,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{3} x^{4} \log\left(\frac{b x^{2} + 2 \, a x + 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) - 2 \, {\left(3 \, a b^{2} x^{2} + 14 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x^{3} + a x^{2}}}{48 \, a^{2} x^{4}}, -\frac{3 \, \sqrt{-a} b^{3} x^{4} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + {\left(3 \, a b^{2} x^{2} + 14 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x^{3} + a x^{2}}}{24 \, a^{2} x^{4}}\right]"," ",0,"[1/48*(3*sqrt(a)*b^3*x^4*log((b*x^2 + 2*a*x + 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) - 2*(3*a*b^2*x^2 + 14*a^2*b*x + 8*a^3)*sqrt(b*x^3 + a*x^2))/(a^2*x^4), -1/24*(3*sqrt(-a)*b^3*x^4*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + (3*a*b^2*x^2 + 14*a^2*b*x + 8*a^3)*sqrt(b*x^3 + a*x^2))/(a^2*x^4)]","A",0
250,1,197,0,0.423997," ","integrate((b*x^3+a*x^2)^(3/2)/x^8,x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{4} x^{5} \log\left(\frac{b x^{2} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) + 2 \, {\left(3 \, a b^{3} x^{3} - 2 \, a^{2} b^{2} x^{2} - 24 \, a^{3} b x - 16 \, a^{4}\right)} \sqrt{b x^{3} + a x^{2}}}{128 \, a^{3} x^{5}}, \frac{3 \, \sqrt{-a} b^{4} x^{5} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + {\left(3 \, a b^{3} x^{3} - 2 \, a^{2} b^{2} x^{2} - 24 \, a^{3} b x - 16 \, a^{4}\right)} \sqrt{b x^{3} + a x^{2}}}{64 \, a^{3} x^{5}}\right]"," ",0,"[1/128*(3*sqrt(a)*b^4*x^5*log((b*x^2 + 2*a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) + 2*(3*a*b^3*x^3 - 2*a^2*b^2*x^2 - 24*a^3*b*x - 16*a^4)*sqrt(b*x^3 + a*x^2))/(a^3*x^5), 1/64*(3*sqrt(-a)*b^4*x^5*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + (3*a*b^3*x^3 - 2*a^2*b^2*x^2 - 24*a^3*b*x - 16*a^4)*sqrt(b*x^3 + a*x^2))/(a^3*x^5)]","A",0
251,1,219,0,0.413606," ","integrate((b*x^3+a*x^2)^(3/2)/x^9,x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{a} b^{5} x^{6} \log\left(\frac{b x^{2} + 2 \, a x + 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) - 2 \, {\left(15 \, a b^{4} x^{4} - 10 \, a^{2} b^{3} x^{3} + 8 \, a^{3} b^{2} x^{2} + 176 \, a^{4} b x + 128 \, a^{5}\right)} \sqrt{b x^{3} + a x^{2}}}{1280 \, a^{4} x^{6}}, -\frac{15 \, \sqrt{-a} b^{5} x^{6} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + {\left(15 \, a b^{4} x^{4} - 10 \, a^{2} b^{3} x^{3} + 8 \, a^{3} b^{2} x^{2} + 176 \, a^{4} b x + 128 \, a^{5}\right)} \sqrt{b x^{3} + a x^{2}}}{640 \, a^{4} x^{6}}\right]"," ",0,"[1/1280*(15*sqrt(a)*b^5*x^6*log((b*x^2 + 2*a*x + 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) - 2*(15*a*b^4*x^4 - 10*a^2*b^3*x^3 + 8*a^3*b^2*x^2 + 176*a^4*b*x + 128*a^5)*sqrt(b*x^3 + a*x^2))/(a^4*x^6), -1/640*(15*sqrt(-a)*b^5*x^6*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + (15*a*b^4*x^4 - 10*a^2*b^3*x^3 + 8*a^3*b^2*x^2 + 176*a^4*b*x + 128*a^5)*sqrt(b*x^3 + a*x^2))/(a^4*x^6)]","A",0
252,1,51,0,0.387755," ","integrate(x^4/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(5 \, b^{3} x^{3} - 6 \, a b^{2} x^{2} + 8 \, a^{2} b x - 16 \, a^{3}\right)} \sqrt{b x^{3} + a x^{2}}}{35 \, b^{4} x}"," ",0,"2/35*(5*b^3*x^3 - 6*a*b^2*x^2 + 8*a^2*b*x - 16*a^3)*sqrt(b*x^3 + a*x^2)/(b^4*x)","A",0
253,1,40,0,0.391340," ","integrate(x^3/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} x^{2} - 4 \, a b x + 8 \, a^{2}\right)} \sqrt{b x^{3} + a x^{2}}}{15 \, b^{3} x}"," ",0,"2/15*(3*b^2*x^2 - 4*a*b*x + 8*a^2)*sqrt(b*x^3 + a*x^2)/(b^3*x)","A",0
254,1,28,0,0.391219," ","integrate(x^2/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{3} + a x^{2}} {\left(b x - 2 \, a\right)}}{3 \, b^{2} x}"," ",0,"2/3*sqrt(b*x^3 + a*x^2)*(b*x - 2*a)/(b^2*x)","A",0
255,1,21,0,0.403698," ","integrate(x/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{3} + a x^{2}}}{b x}"," ",0,"2*sqrt(b*x^3 + a*x^2)/(b*x)","A",0
256,1,74,0,0.414798," ","integrate(1/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b x^{2} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right)}{\sqrt{a}}, \frac{2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right)}{a}\right]"," ",0,"[log((b*x^2 + 2*a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2)/sqrt(a), 2*sqrt(-a)*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x))/a]","A",0
257,1,127,0,0.400154," ","integrate(1/x/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} b x^{2} \log\left(\frac{b x^{2} + 2 \, a x + 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) - 2 \, \sqrt{b x^{3} + a x^{2}} a}{2 \, a^{2} x^{2}}, -\frac{\sqrt{-a} b x^{2} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + \sqrt{b x^{3} + a x^{2}} a}{a^{2} x^{2}}\right]"," ",0,"[1/2*(sqrt(a)*b*x^2*log((b*x^2 + 2*a*x + 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) - 2*sqrt(b*x^3 + a*x^2)*a)/(a^2*x^2), -(sqrt(-a)*b*x^2*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + sqrt(b*x^3 + a*x^2)*a)/(a^2*x^2)]","A",0
258,1,153,0,0.409962," ","integrate(1/x^2/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{2} x^{3} \log\left(\frac{b x^{2} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) + 2 \, \sqrt{b x^{3} + a x^{2}} {\left(3 \, a b x - 2 \, a^{2}\right)}}{8 \, a^{3} x^{3}}, \frac{3 \, \sqrt{-a} b^{2} x^{3} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + \sqrt{b x^{3} + a x^{2}} {\left(3 \, a b x - 2 \, a^{2}\right)}}{4 \, a^{3} x^{3}}\right]"," ",0,"[1/8*(3*sqrt(a)*b^2*x^3*log((b*x^2 + 2*a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) + 2*sqrt(b*x^3 + a*x^2)*(3*a*b*x - 2*a^2))/(a^3*x^3), 1/4*(3*sqrt(-a)*b^2*x^3*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + sqrt(b*x^3 + a*x^2)*(3*a*b*x - 2*a^2))/(a^3*x^3)]","A",0
259,1,175,0,0.423378," ","integrate(1/x^3/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, \sqrt{a} b^{3} x^{4} \log\left(\frac{b x^{2} + 2 \, a x + 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) - 2 \, {\left(15 \, a b^{2} x^{2} - 10 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x^{3} + a x^{2}}}{48 \, a^{4} x^{4}}, -\frac{15 \, \sqrt{-a} b^{3} x^{4} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + {\left(15 \, a b^{2} x^{2} - 10 \, a^{2} b x + 8 \, a^{3}\right)} \sqrt{b x^{3} + a x^{2}}}{24 \, a^{4} x^{4}}\right]"," ",0,"[1/48*(15*sqrt(a)*b^3*x^4*log((b*x^2 + 2*a*x + 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) - 2*(15*a*b^2*x^2 - 10*a^2*b*x + 8*a^3)*sqrt(b*x^3 + a*x^2))/(a^4*x^4), -1/24*(15*sqrt(-a)*b^3*x^4*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + (15*a*b^2*x^2 - 10*a^2*b*x + 8*a^3)*sqrt(b*x^3 + a*x^2))/(a^4*x^4)]","A",0
260,1,60,0,0.397243," ","integrate(x^6/(b*x^3+a*x^2)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{3} x^{3} - 2 \, a b^{2} x^{2} + 8 \, a^{2} b x + 16 \, a^{3}\right)} \sqrt{b x^{3} + a x^{2}}}{5 \, {\left(b^{5} x^{2} + a b^{4} x\right)}}"," ",0,"2/5*(b^3*x^3 - 2*a*b^2*x^2 + 8*a^2*b*x + 16*a^3)*sqrt(b*x^3 + a*x^2)/(b^5*x^2 + a*b^4*x)","A",0
261,1,49,0,0.380956," ","integrate(x^5/(b*x^3+a*x^2)^(3/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} x^{2} - 4 \, a b x - 8 \, a^{2}\right)} \sqrt{b x^{3} + a x^{2}}}{3 \, {\left(b^{4} x^{2} + a b^{3} x\right)}}"," ",0,"2/3*(b^2*x^2 - 4*a*b*x - 8*a^2)*sqrt(b*x^3 + a*x^2)/(b^4*x^2 + a*b^3*x)","A",0
262,1,38,0,0.389062," ","integrate(x^4/(b*x^3+a*x^2)^(3/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{3} + a x^{2}} {\left(b x + 2 \, a\right)}}{b^{3} x^{2} + a b^{2} x}"," ",0,"2*sqrt(b*x^3 + a*x^2)*(b*x + 2*a)/(b^3*x^2 + a*b^2*x)","A",0
263,1,29,0,0.379748," ","integrate(x^3/(b*x^3+a*x^2)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b x^{3} + a x^{2}}}{b^{2} x^{2} + a b x}"," ",0,"-2*sqrt(b*x^3 + a*x^2)/(b^2*x^2 + a*b*x)","A",0
264,1,156,0,0.409058," ","integrate(x^2/(b*x^3+a*x^2)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(b x^{2} + a x\right)} \sqrt{a} \log\left(\frac{b x^{2} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) + 2 \, \sqrt{b x^{3} + a x^{2}} a}{a^{2} b x^{2} + a^{3} x}, \frac{2 \, {\left({\left(b x^{2} + a x\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + \sqrt{b x^{3} + a x^{2}} a\right)}}{a^{2} b x^{2} + a^{3} x}\right]"," ",0,"[((b*x^2 + a*x)*sqrt(a)*log((b*x^2 + 2*a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) + 2*sqrt(b*x^3 + a*x^2)*a)/(a^2*b*x^2 + a^3*x), 2*((b*x^2 + a*x)*sqrt(-a)*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + sqrt(b*x^3 + a*x^2)*a)/(a^2*b*x^2 + a^3*x)]","A",0
265,1,189,0,0.414879," ","integrate(x/(b*x^3+a*x^2)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, {\left(b^{2} x^{3} + a b x^{2}\right)} \sqrt{a} \log\left(\frac{b x^{2} + 2 \, a x + 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) - 2 \, \sqrt{b x^{3} + a x^{2}} {\left(3 \, a b x + a^{2}\right)}}{2 \, {\left(a^{3} b x^{3} + a^{4} x^{2}\right)}}, -\frac{3 \, {\left(b^{2} x^{3} + a b x^{2}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + \sqrt{b x^{3} + a x^{2}} {\left(3 \, a b x + a^{2}\right)}}{a^{3} b x^{3} + a^{4} x^{2}}\right]"," ",0,"[1/2*(3*(b^2*x^3 + a*b*x^2)*sqrt(a)*log((b*x^2 + 2*a*x + 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) - 2*sqrt(b*x^3 + a*x^2)*(3*a*b*x + a^2))/(a^3*b*x^3 + a^4*x^2), -(3*(b^2*x^3 + a*b*x^2)*sqrt(-a)*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + sqrt(b*x^3 + a*x^2)*(3*a*b*x + a^2))/(a^3*b*x^3 + a^4*x^2)]","A",0
266,1,219,0,0.409199," ","integrate(1/(b*x^3+a*x^2)^(3/2),x, algorithm=""fricas"")","\left[\frac{15 \, {\left(b^{3} x^{4} + a b^{2} x^{3}\right)} \sqrt{a} \log\left(\frac{b x^{2} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) + 2 \, {\left(15 \, a b^{2} x^{2} + 5 \, a^{2} b x - 2 \, a^{3}\right)} \sqrt{b x^{3} + a x^{2}}}{8 \, {\left(a^{4} b x^{4} + a^{5} x^{3}\right)}}, \frac{15 \, {\left(b^{3} x^{4} + a b^{2} x^{3}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + {\left(15 \, a b^{2} x^{2} + 5 \, a^{2} b x - 2 \, a^{3}\right)} \sqrt{b x^{3} + a x^{2}}}{4 \, {\left(a^{4} b x^{4} + a^{5} x^{3}\right)}}\right]"," ",0,"[1/8*(15*(b^3*x^4 + a*b^2*x^3)*sqrt(a)*log((b*x^2 + 2*a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) + 2*(15*a*b^2*x^2 + 5*a^2*b*x - 2*a^3)*sqrt(b*x^3 + a*x^2))/(a^4*b*x^4 + a^5*x^3), 1/4*(15*(b^3*x^4 + a*b^2*x^3)*sqrt(-a)*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + (15*a*b^2*x^2 + 5*a^2*b*x - 2*a^3)*sqrt(b*x^3 + a*x^2))/(a^4*b*x^4 + a^5*x^3)]","A",0
267,1,241,0,0.414532," ","integrate(1/x/(b*x^3+a*x^2)^(3/2),x, algorithm=""fricas"")","\left[\frac{105 \, {\left(b^{4} x^{5} + a b^{3} x^{4}\right)} \sqrt{a} \log\left(\frac{b x^{2} + 2 \, a x + 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) - 2 \, {\left(105 \, a b^{3} x^{3} + 35 \, a^{2} b^{2} x^{2} - 14 \, a^{3} b x + 8 \, a^{4}\right)} \sqrt{b x^{3} + a x^{2}}}{48 \, {\left(a^{5} b x^{5} + a^{6} x^{4}\right)}}, -\frac{105 \, {\left(b^{4} x^{5} + a b^{3} x^{4}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + {\left(105 \, a b^{3} x^{3} + 35 \, a^{2} b^{2} x^{2} - 14 \, a^{3} b x + 8 \, a^{4}\right)} \sqrt{b x^{3} + a x^{2}}}{24 \, {\left(a^{5} b x^{5} + a^{6} x^{4}\right)}}\right]"," ",0,"[1/48*(105*(b^4*x^5 + a*b^3*x^4)*sqrt(a)*log((b*x^2 + 2*a*x + 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) - 2*(105*a*b^3*x^3 + 35*a^2*b^2*x^2 - 14*a^3*b*x + 8*a^4)*sqrt(b*x^3 + a*x^2))/(a^5*b*x^5 + a^6*x^4), -1/24*(105*(b^4*x^5 + a*b^3*x^4)*sqrt(-a)*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + (105*a*b^3*x^3 + 35*a^2*b^2*x^2 - 14*a^3*b*x + 8*a^4)*sqrt(b*x^3 + a*x^2))/(a^5*b*x^5 + a^6*x^4)]","A",0
268,1,263,0,0.428932," ","integrate(1/x^2/(b*x^3+a*x^2)^(3/2),x, algorithm=""fricas"")","\left[\frac{315 \, {\left(b^{5} x^{6} + a b^{4} x^{5}\right)} \sqrt{a} \log\left(\frac{b x^{2} + 2 \, a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{a}}{x^{2}}\right) + 2 \, {\left(315 \, a b^{4} x^{4} + 105 \, a^{2} b^{3} x^{3} - 42 \, a^{3} b^{2} x^{2} + 24 \, a^{4} b x - 16 \, a^{5}\right)} \sqrt{b x^{3} + a x^{2}}}{128 \, {\left(a^{6} b x^{6} + a^{7} x^{5}\right)}}, \frac{315 \, {\left(b^{5} x^{6} + a b^{4} x^{5}\right)} \sqrt{-a} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-a}}{a x}\right) + {\left(315 \, a b^{4} x^{4} + 105 \, a^{2} b^{3} x^{3} - 42 \, a^{3} b^{2} x^{2} + 24 \, a^{4} b x - 16 \, a^{5}\right)} \sqrt{b x^{3} + a x^{2}}}{64 \, {\left(a^{6} b x^{6} + a^{7} x^{5}\right)}}\right]"," ",0,"[1/128*(315*(b^5*x^6 + a*b^4*x^5)*sqrt(a)*log((b*x^2 + 2*a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(a))/x^2) + 2*(315*a*b^4*x^4 + 105*a^2*b^3*x^3 - 42*a^3*b^2*x^2 + 24*a^4*b*x - 16*a^5)*sqrt(b*x^3 + a*x^2))/(a^6*b*x^6 + a^7*x^5), 1/64*(315*(b^5*x^6 + a*b^4*x^5)*sqrt(-a)*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-a)/(a*x)) + (315*a*b^4*x^4 + 105*a^2*b^3*x^3 - 42*a^3*b^2*x^2 + 24*a^4*b*x - 16*a^5)*sqrt(b*x^3 + a*x^2))/(a^6*b*x^6 + a^7*x^5)]","A",0
269,1,180,0,0.418468," ","integrate(x^(7/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{3} \sqrt{b} x \log\left(\frac{2 \, b x^{2} + a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{b} \sqrt{x}}{x}\right) + 2 \, {\left(8 \, b^{3} x^{2} - 10 \, a b^{2} x + 15 \, a^{2} b\right)} \sqrt{b x^{3} + a x^{2}} \sqrt{x}}{48 \, b^{4} x}, \frac{15 \, a^{3} \sqrt{-b} x \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-b}}{b x^{\frac{3}{2}}}\right) + {\left(8 \, b^{3} x^{2} - 10 \, a b^{2} x + 15 \, a^{2} b\right)} \sqrt{b x^{3} + a x^{2}} \sqrt{x}}{24 \, b^{4} x}\right]"," ",0,"[1/48*(15*a^3*sqrt(b)*x*log((2*b*x^2 + a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(b)*sqrt(x))/x) + 2*(8*b^3*x^2 - 10*a*b^2*x + 15*a^2*b)*sqrt(b*x^3 + a*x^2)*sqrt(x))/(b^4*x), 1/24*(15*a^3*sqrt(-b)*x*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-b)/(b*x^(3/2))) + (8*b^3*x^2 - 10*a*b^2*x + 15*a^2*b)*sqrt(b*x^3 + a*x^2)*sqrt(x))/(b^4*x)]","A",0
270,1,159,0,0.407041," ","integrate(x^(5/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{2} \sqrt{b} x \log\left(\frac{2 \, b x^{2} + a x + 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{b} \sqrt{x}}{x}\right) + 2 \, \sqrt{b x^{3} + a x^{2}} {\left(2 \, b^{2} x - 3 \, a b\right)} \sqrt{x}}{8 \, b^{3} x}, -\frac{3 \, a^{2} \sqrt{-b} x \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-b}}{b x^{\frac{3}{2}}}\right) - \sqrt{b x^{3} + a x^{2}} {\left(2 \, b^{2} x - 3 \, a b\right)} \sqrt{x}}{4 \, b^{3} x}\right]"," ",0,"[1/8*(3*a^2*sqrt(b)*x*log((2*b*x^2 + a*x + 2*sqrt(b*x^3 + a*x^2)*sqrt(b)*sqrt(x))/x) + 2*sqrt(b*x^3 + a*x^2)*(2*b^2*x - 3*a*b)*sqrt(x))/(b^3*x), -1/4*(3*a^2*sqrt(-b)*x*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-b)/(b*x^(3/2))) - sqrt(b*x^3 + a*x^2)*(2*b^2*x - 3*a*b)*sqrt(x))/(b^3*x)]","A",0
271,1,131,0,0.430814," ","integrate(x^(3/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{a \sqrt{b} x \log\left(\frac{2 \, b x^{2} + a x - 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{b} \sqrt{x}}{x}\right) + 2 \, \sqrt{b x^{3} + a x^{2}} b \sqrt{x}}{2 \, b^{2} x}, \frac{a \sqrt{-b} x \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-b}}{b x^{\frac{3}{2}}}\right) + \sqrt{b x^{3} + a x^{2}} b \sqrt{x}}{b^{2} x}\right]"," ",0,"[1/2*(a*sqrt(b)*x*log((2*b*x^2 + a*x - 2*sqrt(b*x^3 + a*x^2)*sqrt(b)*sqrt(x))/x) + 2*sqrt(b*x^3 + a*x^2)*b*sqrt(x))/(b^2*x), (a*sqrt(-b)*x*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-b)/(b*x^(3/2))) + sqrt(b*x^3 + a*x^2)*b*sqrt(x))/(b^2*x)]","A",0
272,1,77,0,0.422813," ","integrate(x^(1/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{2 \, b x^{2} + a x + 2 \, \sqrt{b x^{3} + a x^{2}} \sqrt{b} \sqrt{x}}{x}\right)}{\sqrt{b}}, -\frac{2 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x^{3} + a x^{2}} \sqrt{-b}}{b x^{\frac{3}{2}}}\right)}{b}\right]"," ",0,"[log((2*b*x^2 + a*x + 2*sqrt(b*x^3 + a*x^2)*sqrt(b)*sqrt(x))/x)/sqrt(b), -2*sqrt(-b)*arctan(sqrt(b*x^3 + a*x^2)*sqrt(-b)/(b*x^(3/2)))/b]","A",0
273,1,21,0,0.389957," ","integrate(1/x^(1/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b x^{3} + a x^{2}}}{a x^{\frac{3}{2}}}"," ",0,"-2*sqrt(b*x^3 + a*x^2)/(a*x^(3/2))","A",0
274,1,29,0,0.403053," ","integrate(1/x^(3/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{3} + a x^{2}} {\left(2 \, b x - a\right)}}{3 \, a^{2} x^{\frac{5}{2}}}"," ",0,"2/3*sqrt(b*x^3 + a*x^2)*(2*b*x - a)/(a^2*x^(5/2))","A",0
275,1,40,0,0.397170," ","integrate(1/x^(5/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(8 \, b^{2} x^{2} - 4 \, a b x + 3 \, a^{2}\right)} \sqrt{b x^{3} + a x^{2}}}{15 \, a^{3} x^{\frac{7}{2}}}"," ",0,"-2/15*(8*b^2*x^2 - 4*a*b*x + 3*a^2)*sqrt(b*x^3 + a*x^2)/(a^3*x^(7/2))","A",0
276,1,51,0,0.402701," ","integrate(1/x^(7/2)/(b*x^3+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(16 \, b^{3} x^{3} - 8 \, a b^{2} x^{2} + 6 \, a^{2} b x - 5 \, a^{3}\right)} \sqrt{b x^{3} + a x^{2}}}{35 \, a^{4} x^{\frac{9}{2}}}"," ",0,"2/35*(16*b^3*x^3 - 8*a*b^2*x^2 + 6*a^2*b*x - 5*a^3)*sqrt(b*x^3 + a*x^2)/(a^4*x^(9/2))","A",0
277,0,0,0,0.406420," ","integrate(x^(1-3*n)*(b*x^3+a*x^2)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{3} + a x^{2}\right)}^{n} x^{-3 \, n + 1}, x\right)"," ",0,"integral((b*x^3 + a*x^2)^n*x^(-3*n + 1), x)","F",0
278,0,0,0,0.440026," ","integrate((b*x^3+a*x^2)^n/(x^(3*n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(b x^{3} + a x^{2}\right)}^{n}}{x^{3 \, n}}, x\right)"," ",0,"integral((b*x^3 + a*x^2)^n/x^(3*n), x)","F",0
279,0,0,0,0.412389," ","integrate(x^(-1-3*n)*(b*x^3+a*x^2)^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{3} + a x^{2}\right)}^{n} x^{-3 \, n - 1}, x\right)"," ",0,"integral((b*x^3 + a*x^2)^n*x^(-3*n - 1), x)","F",0
280,1,38,0,0.413170," ","integrate(x^(-2-3*n)*(b*x^3+a*x^2)^n,x, algorithm=""fricas"")","-\frac{{\left(b x^{2} + a x\right)} {\left(b x^{3} + a x^{2}\right)}^{n} x^{-3 \, n - 2}}{a n + a}"," ",0,"-(b*x^2 + a*x)*(b*x^3 + a*x^2)^n*x^(-3*n - 2)/(a*n + a)","A",0
281,1,70,0,0.421295," ","integrate(x^(-3-3*n)*(b*x^3+a*x^2)^n,x, algorithm=""fricas"")","-\frac{{\left(a b n x^{2} - b^{2} x^{3} + {\left(a^{2} n + a^{2}\right)} x\right)} {\left(b x^{3} + a x^{2}\right)}^{n} x^{-3 \, n - 3}}{a^{2} n^{2} + 3 \, a^{2} n + 2 \, a^{2}}"," ",0,"-(a*b*n*x^2 - b^2*x^3 + (a^2*n + a^2)*x)*(b*x^3 + a*x^2)^n*x^(-3*n - 3)/(a^2*n^2 + 3*a^2*n + 2*a^2)","A",0
282,1,111,0,0.416723," ","integrate(x^(-4-3*n)*(b*x^3+a*x^2)^n,x, algorithm=""fricas"")","\frac{{\left(2 \, a b^{2} n x^{3} - 2 \, b^{3} x^{4} - {\left(a^{2} b n^{2} + a^{2} b n\right)} x^{2} - {\left(a^{3} n^{2} + 3 \, a^{3} n + 2 \, a^{3}\right)} x\right)} {\left(b x^{3} + a x^{2}\right)}^{n} x^{-3 \, n - 4}}{a^{3} n^{3} + 6 \, a^{3} n^{2} + 11 \, a^{3} n + 6 \, a^{3}}"," ",0,"(2*a*b^2*n*x^3 - 2*b^3*x^4 - (a^2*b*n^2 + a^2*b*n)*x^2 - (a^3*n^2 + 3*a^3*n + 2*a^3)*x)*(b*x^3 + a*x^2)^n*x^(-3*n - 4)/(a^3*n^3 + 6*a^3*n^2 + 11*a^3*n + 6*a^3)","A",0
283,1,36,0,0.376155," ","integrate(x^11/(b*x^5+a*x^2)^3,x, algorithm=""fricas"")","-\frac{2 \, b x^{3} + a}{6 \, {\left(b^{4} x^{6} + 2 \, a b^{3} x^{3} + a^{2} b^{2}\right)}}"," ",0,"-1/6*(2*b*x^3 + a)/(b^4*x^6 + 2*a*b^3*x^3 + a^2*b^2)","B",0
284,1,42,0,0.391679," ","integrate(x^9/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} x^{6} - 4 \, a b x^{3} + 8 \, a^{2}\right)} \sqrt{b x^{5} + a x^{2}}}{45 \, b^{3} x}"," ",0,"2/45*(3*b^2*x^6 - 4*a*b*x^3 + 8*a^2)*sqrt(b*x^5 + a*x^2)/(b^3*x)","A",0
285,1,30,0,0.402793," ","integrate(x^6/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{5} + a x^{2}} {\left(b x^{3} - 2 \, a\right)}}{9 \, b^{2} x}"," ",0,"2/9*sqrt(b*x^5 + a*x^2)*(b*x^3 - 2*a)/(b^2*x)","A",0
286,1,21,0,0.394060," ","integrate(x^3/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{5} + a x^{2}}}{3 \, b x}"," ",0,"2/3*sqrt(b*x^5 + a*x^2)/(b*x)","A",0
287,1,75,0,0.416782," ","integrate(1/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b x^{4} + 2 \, a x - 2 \, \sqrt{b x^{5} + a x^{2}} \sqrt{a}}{x^{4}}\right)}{3 \, \sqrt{a}}, \frac{2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{b x^{5} + a x^{2}} \sqrt{-a}}{a x}\right)}{3 \, a}\right]"," ",0,"[1/3*log((b*x^4 + 2*a*x - 2*sqrt(b*x^5 + a*x^2)*sqrt(a))/x^4)/sqrt(a), 2/3*sqrt(-a)*arctan(sqrt(b*x^5 + a*x^2)*sqrt(-a)/(a*x))/a]","A",0
288,1,127,0,0.410897," ","integrate(1/x^3/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} b x^{4} \log\left(\frac{b x^{4} + 2 \, a x + 2 \, \sqrt{b x^{5} + a x^{2}} \sqrt{a}}{x^{4}}\right) - 2 \, \sqrt{b x^{5} + a x^{2}} a}{6 \, a^{2} x^{4}}, -\frac{\sqrt{-a} b x^{4} \arctan\left(\frac{\sqrt{b x^{5} + a x^{2}} \sqrt{-a}}{a x}\right) + \sqrt{b x^{5} + a x^{2}} a}{3 \, a^{2} x^{4}}\right]"," ",0,"[1/6*(sqrt(a)*b*x^4*log((b*x^4 + 2*a*x + 2*sqrt(b*x^5 + a*x^2)*sqrt(a))/x^4) - 2*sqrt(b*x^5 + a*x^2)*a)/(a^2*x^4), -1/3*(sqrt(-a)*b*x^4*arctan(sqrt(b*x^5 + a*x^2)*sqrt(-a)/(a*x)) + sqrt(b*x^5 + a*x^2)*a)/(a^2*x^4)]","A",0
289,0,0,0,0.406472," ","integrate(x^4/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}} x^{2}}{b x^{3} + a}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)*x^2/(b*x^3 + a), x)","F",0
290,0,0,0,0.392259," ","integrate(x/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}}}{b x^{4} + a x}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)/(b*x^4 + a*x), x)","F",0
291,0,0,0,0.393689," ","integrate(1/x^2/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}}}{b x^{7} + a x^{4}}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)/(b*x^7 + a*x^4), x)","F",0
292,0,0,0,0.401156," ","integrate(x^5/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}} x^{3}}{b x^{3} + a}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)*x^3/(b*x^3 + a), x)","F",0
293,0,0,0,0.397777," ","integrate(x^2/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}}}{b x^{3} + a}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)/(b*x^3 + a), x)","F",0
294,0,0,0,0.404241," ","integrate(1/x/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}}}{b x^{6} + a x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)/(b*x^6 + a*x^3), x)","F",0
295,0,0,0,0.433765," ","integrate(x^(13/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}} x^{\frac{9}{2}}}{b x^{3} + a}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)*x^(9/2)/(b*x^3 + a), x)","F",0
296,0,0,0,0.415201," ","integrate(x^(11/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}} x^{\frac{7}{2}}}{b x^{3} + a}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)*x^(7/2)/(b*x^3 + a), x)","F",0
297,1,148,0,0.560198," ","integrate(x^(9/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{a \sqrt{b} \log\left(-8 \, b^{2} x^{6} - 8 \, a b x^{3} + 4 \, \sqrt{b x^{5} + a x^{2}} {\left(2 \, b x^{3} + a\right)} \sqrt{b} \sqrt{x} - a^{2}\right) + 4 \, \sqrt{b x^{5} + a x^{2}} b \sqrt{x}}{12 \, b^{2}}, \frac{a \sqrt{-b} \arctan\left(\frac{2 \, \sqrt{b x^{5} + a x^{2}} \sqrt{-b} \sqrt{x}}{2 \, b x^{3} + a}\right) + 2 \, \sqrt{b x^{5} + a x^{2}} b \sqrt{x}}{6 \, b^{2}}\right]"," ",0,"[1/12*(a*sqrt(b)*log(-8*b^2*x^6 - 8*a*b*x^3 + 4*sqrt(b*x^5 + a*x^2)*(2*b*x^3 + a)*sqrt(b)*sqrt(x) - a^2) + 4*sqrt(b*x^5 + a*x^2)*b*sqrt(x))/b^2, 1/6*(a*sqrt(-b)*arctan(2*sqrt(b*x^5 + a*x^2)*sqrt(-b)*sqrt(x)/(2*b*x^3 + a)) + 2*sqrt(b*x^5 + a*x^2)*b*sqrt(x))/b^2]","A",0
298,0,0,0,0.425389," ","integrate(x^(7/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}} x^{\frac{3}{2}}}{b x^{3} + a}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)*x^(3/2)/(b*x^3 + a), x)","F",0
299,0,0,0,0.424656," ","integrate(x^(5/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}} \sqrt{x}}{b x^{3} + a}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)*sqrt(x)/(b*x^3 + a), x)","F",0
300,1,101,0,0.555877," ","integrate(x^(3/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-8 \, b^{2} x^{6} - 8 \, a b x^{3} - 4 \, \sqrt{b x^{5} + a x^{2}} {\left(2 \, b x^{3} + a\right)} \sqrt{b} \sqrt{x} - a^{2}\right)}{6 \, \sqrt{b}}, -\frac{\sqrt{-b} \arctan\left(\frac{2 \, \sqrt{b x^{5} + a x^{2}} \sqrt{-b} \sqrt{x}}{2 \, b x^{3} + a}\right)}{3 \, b}\right]"," ",0,"[1/6*log(-8*b^2*x^6 - 8*a*b*x^3 - 4*sqrt(b*x^5 + a*x^2)*(2*b*x^3 + a)*sqrt(b)*sqrt(x) - a^2)/sqrt(b), -1/3*sqrt(-b)*arctan(2*sqrt(b*x^5 + a*x^2)*sqrt(-b)*sqrt(x)/(2*b*x^3 + a))/b]","A",0
301,0,0,0,0.398330," ","integrate(x^(1/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{x}}{\sqrt{b x^{5} + a x^{2}}}, x\right)"," ",0,"integral(sqrt(x)/sqrt(b*x^5 + a*x^2), x)","F",0
302,0,0,0,0.410443," ","integrate(1/x^(1/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}} \sqrt{x}}{b x^{6} + a x^{3}}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)*sqrt(x)/(b*x^6 + a*x^3), x)","F",0
303,1,21,0,0.411881," ","integrate(1/x^(3/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b x^{5} + a x^{2}}}{3 \, a x^{\frac{5}{2}}}"," ",0,"-2/3*sqrt(b*x^5 + a*x^2)/(a*x^(5/2))","A",0
304,0,0,0,0.411772," ","integrate(1/x^(5/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}} \sqrt{x}}{b x^{8} + a x^{5}}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)*sqrt(x)/(b*x^8 + a*x^5), x)","F",0
305,0,0,0,0.430268," ","integrate(1/x^(7/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}} \sqrt{x}}{b x^{9} + a x^{6}}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)*sqrt(x)/(b*x^9 + a*x^6), x)","F",0
306,1,31,0,0.397032," ","integrate(1/x^(9/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{5} + a x^{2}} {\left(2 \, b x^{3} - a\right)}}{9 \, a^{2} x^{\frac{11}{2}}}"," ",0,"2/9*sqrt(b*x^5 + a*x^2)*(2*b*x^3 - a)/(a^2*x^(11/2))","A",0
307,0,0,0,0.404620," ","integrate(1/x^(11/2)/(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{b x^{5} + a x^{2}} \sqrt{x}}{b x^{11} + a x^{8}}, x\right)"," ",0,"integral(sqrt(b*x^5 + a*x^2)*sqrt(x)/(b*x^11 + a*x^8), x)","F",0
308,1,26,0,0.382436," ","integrate(x/(b*x^4+a*x^3),x, algorithm=""fricas"")","\frac{b x \log\left(b x + a\right) - b x \log\left(x\right) - a}{a^{2} x}"," ",0,"(b*x*log(b*x + a) - b*x*log(x) - a)/(a^2*x)","A",0
309,1,41,0,0.390285," ","integrate(1/(b*x^4+a*x^3),x, algorithm=""fricas"")","-\frac{2 \, b^{2} x^{2} \log\left(b x + a\right) - 2 \, b^{2} x^{2} \log\left(x\right) - 2 \, a b x + a^{2}}{2 \, a^{3} x^{2}}"," ",0,"-1/2*(2*b^2*x^2*log(b*x + a) - 2*b^2*x^2*log(x) - 2*a*b*x + a^2)/(a^3*x^2)","A",0
310,1,171,0,0.424946," ","integrate(x^4/(b*x^4+a*x^3)^(1/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{3} \sqrt{b} x \log\left(\frac{2 \, b x^{2} + a x - 2 \, \sqrt{b x^{4} + a x^{3}} \sqrt{b}}{x}\right) + 2 \, {\left(8 \, b^{3} x^{2} - 10 \, a b^{2} x + 15 \, a^{2} b\right)} \sqrt{b x^{4} + a x^{3}}}{48 \, b^{4} x}, \frac{15 \, a^{3} \sqrt{-b} x \arctan\left(\frac{\sqrt{b x^{4} + a x^{3}} \sqrt{-b}}{b x^{2}}\right) + {\left(8 \, b^{3} x^{2} - 10 \, a b^{2} x + 15 \, a^{2} b\right)} \sqrt{b x^{4} + a x^{3}}}{24 \, b^{4} x}\right]"," ",0,"[1/48*(15*a^3*sqrt(b)*x*log((2*b*x^2 + a*x - 2*sqrt(b*x^4 + a*x^3)*sqrt(b))/x) + 2*(8*b^3*x^2 - 10*a*b^2*x + 15*a^2*b)*sqrt(b*x^4 + a*x^3))/(b^4*x), 1/24*(15*a^3*sqrt(-b)*x*arctan(sqrt(b*x^4 + a*x^3)*sqrt(-b)/(b*x^2)) + (8*b^3*x^2 - 10*a*b^2*x + 15*a^2*b)*sqrt(b*x^4 + a*x^3))/(b^4*x)]","A",0
311,1,150,0,0.401386," ","integrate(x^3/(b*x^4+a*x^3)^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{2} \sqrt{b} x \log\left(\frac{2 \, b x^{2} + a x + 2 \, \sqrt{b x^{4} + a x^{3}} \sqrt{b}}{x}\right) + 2 \, \sqrt{b x^{4} + a x^{3}} {\left(2 \, b^{2} x - 3 \, a b\right)}}{8 \, b^{3} x}, -\frac{3 \, a^{2} \sqrt{-b} x \arctan\left(\frac{\sqrt{b x^{4} + a x^{3}} \sqrt{-b}}{b x^{2}}\right) - \sqrt{b x^{4} + a x^{3}} {\left(2 \, b^{2} x - 3 \, a b\right)}}{4 \, b^{3} x}\right]"," ",0,"[1/8*(3*a^2*sqrt(b)*x*log((2*b*x^2 + a*x + 2*sqrt(b*x^4 + a*x^3)*sqrt(b))/x) + 2*sqrt(b*x^4 + a*x^3)*(2*b^2*x - 3*a*b))/(b^3*x), -1/4*(3*a^2*sqrt(-b)*x*arctan(sqrt(b*x^4 + a*x^3)*sqrt(-b)/(b*x^2)) - sqrt(b*x^4 + a*x^3)*(2*b^2*x - 3*a*b))/(b^3*x)]","A",0
312,1,122,0,0.408599," ","integrate(x^2/(b*x^4+a*x^3)^(1/2),x, algorithm=""fricas"")","\left[\frac{a \sqrt{b} x \log\left(\frac{2 \, b x^{2} + a x - 2 \, \sqrt{b x^{4} + a x^{3}} \sqrt{b}}{x}\right) + 2 \, \sqrt{b x^{4} + a x^{3}} b}{2 \, b^{2} x}, \frac{a \sqrt{-b} x \arctan\left(\frac{\sqrt{b x^{4} + a x^{3}} \sqrt{-b}}{b x^{2}}\right) + \sqrt{b x^{4} + a x^{3}} b}{b^{2} x}\right]"," ",0,"[1/2*(a*sqrt(b)*x*log((2*b*x^2 + a*x - 2*sqrt(b*x^4 + a*x^3)*sqrt(b))/x) + 2*sqrt(b*x^4 + a*x^3)*b)/(b^2*x), (a*sqrt(-b)*x*arctan(sqrt(b*x^4 + a*x^3)*sqrt(-b)/(b*x^2)) + sqrt(b*x^4 + a*x^3)*b)/(b^2*x)]","A",0
313,1,74,0,0.411698," ","integrate(x/(b*x^4+a*x^3)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{2 \, b x^{2} + a x + 2 \, \sqrt{b x^{4} + a x^{3}} \sqrt{b}}{x}\right)}{\sqrt{b}}, -\frac{2 \, \sqrt{-b} \arctan\left(\frac{\sqrt{b x^{4} + a x^{3}} \sqrt{-b}}{b x^{2}}\right)}{b}\right]"," ",0,"[log((2*b*x^2 + a*x + 2*sqrt(b*x^4 + a*x^3)*sqrt(b))/x)/sqrt(b), -2*sqrt(-b)*arctan(sqrt(b*x^4 + a*x^3)*sqrt(-b)/(b*x^2))/b]","A",0
314,1,21,0,0.390893," ","integrate(1/(b*x^4+a*x^3)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b x^{4} + a x^{3}}}{a x^{2}}"," ",0,"-2*sqrt(b*x^4 + a*x^3)/(a*x^2)","A",0
315,1,29,0,0.391521," ","integrate(1/x/(b*x^4+a*x^3)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{4} + a x^{3}} {\left(2 \, b x - a\right)}}{3 \, a^{2} x^{3}}"," ",0,"2/3*sqrt(b*x^4 + a*x^3)*(2*b*x - a)/(a^2*x^3)","A",0
316,1,40,0,0.388239," ","integrate(1/x^2/(b*x^4+a*x^3)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{b x^{4} + a x^{3}} {\left(8 \, b^{2} x^{2} - 4 \, a b x + 3 \, a^{2}\right)}}{15 \, a^{3} x^{4}}"," ",0,"-2/15*sqrt(b*x^4 + a*x^3)*(8*b^2*x^2 - 4*a*b*x + 3*a^2)/(a^3*x^4)","A",0
317,1,51,0,0.401064," ","integrate(1/x^3/(b*x^4+a*x^3)^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(16 \, b^{3} x^{3} - 8 \, a b^{2} x^{2} + 6 \, a^{2} b x - 5 \, a^{3}\right)} \sqrt{b x^{4} + a x^{3}}}{35 \, a^{4} x^{5}}"," ",0,"2/35*(16*b^3*x^3 - 8*a*b^2*x^2 + 6*a^2*b*x - 5*a^3)*sqrt(b*x^4 + a*x^3)/(a^4*x^5)","A",0
318,1,62,0,0.385820," ","integrate(1/x^4/(b*x^4+a*x^3)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(128 \, b^{4} x^{4} - 64 \, a b^{3} x^{3} + 48 \, a^{2} b^{2} x^{2} - 40 \, a^{3} b x + 35 \, a^{4}\right)} \sqrt{b x^{4} + a x^{3}}}{315 \, a^{5} x^{6}}"," ",0,"-2/315*(128*b^4*x^4 - 64*a*b^3*x^3 + 48*a^2*b^2*x^2 - 40*a^3*b*x + 35*a^4)*sqrt(b*x^4 + a*x^3)/(a^5*x^6)","A",0
319,1,28,0,0.398265," ","integrate(1/(b*x^5+x^3),x, algorithm=""fricas"")","\frac{b x^{2} \log\left(b x^{2} + 1\right) - 2 \, b x^{2} \log\left(x\right) - 1}{2 \, x^{2}}"," ",0,"1/2*(b*x^2*log(b*x^2 + 1) - 2*b*x^2*log(x) - 1)/x^2","A",0
320,1,28,0,0.390668," ","integrate(1/(b*x^5-x^3),x, algorithm=""fricas"")","\frac{b x^{2} \log\left(b x^{2} - 1\right) - 2 \, b x^{2} \log\left(x\right) + 1}{2 \, x^{2}}"," ",0,"1/2*(b*x^2*log(b*x^2 - 1) - 2*b*x^2*log(x) + 1)/x^2","A",0
321,1,8,0,0.388842," ","integrate(1/(a*x+b*x),x, algorithm=""fricas"")","\frac{\log\left(x\right)}{a + b}"," ",0,"log(x)/(a + b)","A",0
322,1,18,0,0.371299," ","integrate(1/(a*x+b*x)^2,x, algorithm=""fricas"")","-\frac{1}{{\left(a^{2} + 2 \, a b + b^{2}\right)} x}"," ",0,"-1/((a^2 + 2*a*b + b^2)*x)","A",0
323,1,26,0,0.370873," ","integrate(1/(a*x+b*x)^3,x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} x^{2}}"," ",0,"-1/2/((a^3 + 3*a^2*b + 3*a*b^2 + b^3)*x^2)","B",0
324,1,10,0,0.374930," ","integrate(1/(a*x^2+b*x^2),x, algorithm=""fricas"")","-\frac{1}{{\left(a + b\right)} x}"," ",0,"-1/((a + b)*x)","A",0
325,1,22,0,0.400037," ","integrate(1/(a*x^n+b*x^n),x, algorithm=""fricas"")","-\frac{x}{{\left({\left(a + b\right)} n - a - b\right)} x^{n}}"," ",0,"-x/(((a + b)*n - a - b)*x^n)","A",0
326,1,36,0,0.411590," ","integrate(1/(a*x^n+b*x^n)^2,x, algorithm=""fricas"")","\frac{x}{{\left(a^{2} + 2 \, a b + b^{2} - 2 \, {\left(a^{2} + 2 \, a b + b^{2}\right)} n\right)} x^{2 \, n}}"," ",0,"x/((a^2 + 2*a*b + b^2 - 2*(a^2 + 2*a*b + b^2)*n)*x^(2*n))","A",0
327,1,52,0,0.417464," ","integrate(1/(a*x^n+b*x^n)^3,x, algorithm=""fricas"")","\frac{x}{{\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3} - 3 \, {\left(a^{3} + 3 \, a^{2} b + 3 \, a b^{2} + b^{3}\right)} n\right)} x^{3 \, n}}"," ",0,"x/((a^3 + 3*a^2*b + 3*a*b^2 + b^3 - 3*(a^3 + 3*a^2*b + 3*a*b^2 + b^3)*n)*x^(3*n))","B",0
328,1,134,0,0.349476," ","integrate((b*x^14+a*x)^12,x, algorithm=""fricas"")","\frac{1}{169} x^{169} b^{12} + \frac{1}{13} x^{156} b^{11} a + \frac{6}{13} x^{143} b^{10} a^{2} + \frac{22}{13} x^{130} b^{9} a^{3} + \frac{55}{13} x^{117} b^{8} a^{4} + \frac{99}{13} x^{104} b^{7} a^{5} + \frac{132}{13} x^{91} b^{6} a^{6} + \frac{132}{13} x^{78} b^{5} a^{7} + \frac{99}{13} x^{65} b^{4} a^{8} + \frac{55}{13} x^{52} b^{3} a^{9} + \frac{22}{13} x^{39} b^{2} a^{10} + \frac{6}{13} x^{26} b a^{11} + \frac{1}{13} x^{13} a^{12}"," ",0,"1/169*x^169*b^12 + 1/13*x^156*b^11*a + 6/13*x^143*b^10*a^2 + 22/13*x^130*b^9*a^3 + 55/13*x^117*b^8*a^4 + 99/13*x^104*b^7*a^5 + 132/13*x^91*b^6*a^6 + 132/13*x^78*b^5*a^7 + 99/13*x^65*b^4*a^8 + 55/13*x^52*b^3*a^9 + 22/13*x^39*b^2*a^10 + 6/13*x^26*b*a^11 + 1/13*x^13*a^12","B",0
329,1,134,0,0.343842," ","integrate(x^12*(b*x^26+a*x)^12,x, algorithm=""fricas"")","\frac{1}{325} x^{325} b^{12} + \frac{1}{25} x^{300} b^{11} a + \frac{6}{25} x^{275} b^{10} a^{2} + \frac{22}{25} x^{250} b^{9} a^{3} + \frac{11}{5} x^{225} b^{8} a^{4} + \frac{99}{25} x^{200} b^{7} a^{5} + \frac{132}{25} x^{175} b^{6} a^{6} + \frac{132}{25} x^{150} b^{5} a^{7} + \frac{99}{25} x^{125} b^{4} a^{8} + \frac{11}{5} x^{100} b^{3} a^{9} + \frac{22}{25} x^{75} b^{2} a^{10} + \frac{6}{25} x^{50} b a^{11} + \frac{1}{25} x^{25} a^{12}"," ",0,"1/325*x^325*b^12 + 1/25*x^300*b^11*a + 6/25*x^275*b^10*a^2 + 22/25*x^250*b^9*a^3 + 11/5*x^225*b^8*a^4 + 99/25*x^200*b^7*a^5 + 132/25*x^175*b^6*a^6 + 132/25*x^150*b^5*a^7 + 99/25*x^125*b^4*a^8 + 11/5*x^100*b^3*a^9 + 22/25*x^75*b^2*a^10 + 6/25*x^50*b*a^11 + 1/25*x^25*a^12","B",0
330,1,134,0,0.342866," ","integrate(x^24*(b*x^38+a*x)^12,x, algorithm=""fricas"")","\frac{1}{481} x^{481} b^{12} + \frac{1}{37} x^{444} b^{11} a + \frac{6}{37} x^{407} b^{10} a^{2} + \frac{22}{37} x^{370} b^{9} a^{3} + \frac{55}{37} x^{333} b^{8} a^{4} + \frac{99}{37} x^{296} b^{7} a^{5} + \frac{132}{37} x^{259} b^{6} a^{6} + \frac{132}{37} x^{222} b^{5} a^{7} + \frac{99}{37} x^{185} b^{4} a^{8} + \frac{55}{37} x^{148} b^{3} a^{9} + \frac{22}{37} x^{111} b^{2} a^{10} + \frac{6}{37} x^{74} b a^{11} + \frac{1}{37} x^{37} a^{12}"," ",0,"1/481*x^481*b^12 + 1/37*x^444*b^11*a + 6/37*x^407*b^10*a^2 + 22/37*x^370*b^9*a^3 + 55/37*x^333*b^8*a^4 + 99/37*x^296*b^7*a^5 + 132/37*x^259*b^6*a^6 + 132/37*x^222*b^5*a^7 + 99/37*x^185*b^4*a^8 + 55/37*x^148*b^3*a^9 + 22/37*x^111*b^2*a^10 + 6/37*x^74*b*a^11 + 1/37*x^37*a^12","B",0
331,1,231,0,0.444106," ","integrate(x^(-12+12*m)*(a*x+b*x^(2+12*m))^12,x, algorithm=""fricas"")","\frac{13 \, a^{12} x^{12} x^{12 \, m + 2} + 78 \, a^{11} b x^{11} x^{24 \, m + 4} + 286 \, a^{10} b^{2} x^{10} x^{36 \, m + 6} + 715 \, a^{9} b^{3} x^{9} x^{48 \, m + 8} + 1287 \, a^{8} b^{4} x^{8} x^{60 \, m + 10} + 1716 \, a^{7} b^{5} x^{7} x^{72 \, m + 12} + 1716 \, a^{6} b^{6} x^{6} x^{84 \, m + 14} + 1287 \, a^{5} b^{7} x^{5} x^{96 \, m + 16} + 715 \, a^{4} b^{8} x^{4} x^{108 \, m + 18} + 286 \, a^{3} b^{9} x^{3} x^{120 \, m + 20} + 78 \, a^{2} b^{10} x^{2} x^{132 \, m + 22} + 13 \, a b^{11} x x^{144 \, m + 24} + b^{12} x^{156 \, m + 26}}{13 \, {\left(12 \, m + 1\right)} x^{13}}"," ",0,"1/13*(13*a^12*x^12*x^(12*m + 2) + 78*a^11*b*x^11*x^(24*m + 4) + 286*a^10*b^2*x^10*x^(36*m + 6) + 715*a^9*b^3*x^9*x^(48*m + 8) + 1287*a^8*b^4*x^8*x^(60*m + 10) + 1716*a^7*b^5*x^7*x^(72*m + 12) + 1716*a^6*b^6*x^6*x^(84*m + 14) + 1287*a^5*b^7*x^5*x^(96*m + 16) + 715*a^4*b^8*x^4*x^(108*m + 18) + 286*a^3*b^9*x^3*x^(120*m + 20) + 78*a^2*b^10*x^2*x^(132*m + 22) + 13*a*b^11*x*x^(144*m + 24) + b^12*x^(156*m + 26))/((12*m + 1)*x^13)","B",0
332,1,134,0,0.338904," ","integrate((b*x^14+a*x)^12,x, algorithm=""fricas"")","\frac{1}{169} x^{169} b^{12} + \frac{1}{13} x^{156} b^{11} a + \frac{6}{13} x^{143} b^{10} a^{2} + \frac{22}{13} x^{130} b^{9} a^{3} + \frac{55}{13} x^{117} b^{8} a^{4} + \frac{99}{13} x^{104} b^{7} a^{5} + \frac{132}{13} x^{91} b^{6} a^{6} + \frac{132}{13} x^{78} b^{5} a^{7} + \frac{99}{13} x^{65} b^{4} a^{8} + \frac{55}{13} x^{52} b^{3} a^{9} + \frac{22}{13} x^{39} b^{2} a^{10} + \frac{6}{13} x^{26} b a^{11} + \frac{1}{13} x^{13} a^{12}"," ",0,"1/169*x^169*b^12 + 1/13*x^156*b^11*a + 6/13*x^143*b^10*a^2 + 22/13*x^130*b^9*a^3 + 55/13*x^117*b^8*a^4 + 99/13*x^104*b^7*a^5 + 132/13*x^91*b^6*a^6 + 132/13*x^78*b^5*a^7 + 99/13*x^65*b^4*a^8 + 55/13*x^52*b^3*a^9 + 22/13*x^39*b^2*a^10 + 6/13*x^26*b*a^11 + 1/13*x^13*a^12","B",0
333,1,134,0,0.342414," ","integrate((b*x^27+a*x^2)^12,x, algorithm=""fricas"")","\frac{1}{325} x^{325} b^{12} + \frac{1}{25} x^{300} b^{11} a + \frac{6}{25} x^{275} b^{10} a^{2} + \frac{22}{25} x^{250} b^{9} a^{3} + \frac{11}{5} x^{225} b^{8} a^{4} + \frac{99}{25} x^{200} b^{7} a^{5} + \frac{132}{25} x^{175} b^{6} a^{6} + \frac{132}{25} x^{150} b^{5} a^{7} + \frac{99}{25} x^{125} b^{4} a^{8} + \frac{11}{5} x^{100} b^{3} a^{9} + \frac{22}{25} x^{75} b^{2} a^{10} + \frac{6}{25} x^{50} b a^{11} + \frac{1}{25} x^{25} a^{12}"," ",0,"1/325*x^325*b^12 + 1/25*x^300*b^11*a + 6/25*x^275*b^10*a^2 + 22/25*x^250*b^9*a^3 + 11/5*x^225*b^8*a^4 + 99/25*x^200*b^7*a^5 + 132/25*x^175*b^6*a^6 + 132/25*x^150*b^5*a^7 + 99/25*x^125*b^4*a^8 + 11/5*x^100*b^3*a^9 + 22/25*x^75*b^2*a^10 + 6/25*x^50*b*a^11 + 1/25*x^25*a^12","B",0
334,1,134,0,0.339662," ","integrate((b*x^40+a*x^3)^12,x, algorithm=""fricas"")","\frac{1}{481} x^{481} b^{12} + \frac{1}{37} x^{444} b^{11} a + \frac{6}{37} x^{407} b^{10} a^{2} + \frac{22}{37} x^{370} b^{9} a^{3} + \frac{55}{37} x^{333} b^{8} a^{4} + \frac{99}{37} x^{296} b^{7} a^{5} + \frac{132}{37} x^{259} b^{6} a^{6} + \frac{132}{37} x^{222} b^{5} a^{7} + \frac{99}{37} x^{185} b^{4} a^{8} + \frac{55}{37} x^{148} b^{3} a^{9} + \frac{22}{37} x^{111} b^{2} a^{10} + \frac{6}{37} x^{74} b a^{11} + \frac{1}{37} x^{37} a^{12}"," ",0,"1/481*x^481*b^12 + 1/37*x^444*b^11*a + 6/37*x^407*b^10*a^2 + 22/37*x^370*b^9*a^3 + 55/37*x^333*b^8*a^4 + 99/37*x^296*b^7*a^5 + 132/37*x^259*b^6*a^6 + 132/37*x^222*b^5*a^7 + 99/37*x^185*b^4*a^8 + 55/37*x^148*b^3*a^9 + 22/37*x^111*b^2*a^10 + 6/37*x^74*b*a^11 + 1/37*x^37*a^12","B",0
335,1,205,0,0.420239," ","integrate((a*x^m+b*x^(1+13*m))^12,x, algorithm=""fricas"")","\frac{b^{12} x^{13} x^{156 \, m} + 13 \, a b^{11} x^{12} x^{144 \, m} + 78 \, a^{2} b^{10} x^{11} x^{132 \, m} + 286 \, a^{3} b^{9} x^{10} x^{120 \, m} + 715 \, a^{4} b^{8} x^{9} x^{108 \, m} + 1287 \, a^{5} b^{7} x^{8} x^{96 \, m} + 1716 \, a^{6} b^{6} x^{7} x^{84 \, m} + 1716 \, a^{7} b^{5} x^{6} x^{72 \, m} + 1287 \, a^{8} b^{4} x^{5} x^{60 \, m} + 715 \, a^{9} b^{3} x^{4} x^{48 \, m} + 286 \, a^{10} b^{2} x^{3} x^{36 \, m} + 78 \, a^{11} b x^{2} x^{24 \, m} + 13 \, a^{12} x x^{12 \, m}}{13 \, {\left(12 \, m + 1\right)}}"," ",0,"1/13*(b^12*x^13*x^(156*m) + 13*a*b^11*x^12*x^(144*m) + 78*a^2*b^10*x^11*x^(132*m) + 286*a^3*b^9*x^10*x^(120*m) + 715*a^4*b^8*x^9*x^(108*m) + 1287*a^5*b^7*x^8*x^(96*m) + 1716*a^6*b^6*x^7*x^(84*m) + 1716*a^7*b^5*x^6*x^(72*m) + 1287*a^8*b^4*x^5*x^(60*m) + 715*a^9*b^3*x^4*x^(48*m) + 286*a^10*b^2*x^3*x^(36*m) + 78*a^11*b*x^2*x^(24*m) + 13*a^12*x*x^(12*m))/(12*m + 1)","B",0
336,1,93,0,0.412806," ","integrate((a*x^m+b*x^(1+6*m))^5,x, algorithm=""fricas"")","\frac{b^{5} x^{6} x^{30 \, m} + 6 \, a b^{4} x^{5} x^{25 \, m} + 15 \, a^{2} b^{3} x^{4} x^{20 \, m} + 20 \, a^{3} b^{2} x^{3} x^{15 \, m} + 15 \, a^{4} b x^{2} x^{10 \, m} + 6 \, a^{5} x x^{5 \, m}}{6 \, {\left(5 \, m + 1\right)}}"," ",0,"1/6*(b^5*x^6*x^(30*m) + 6*a*b^4*x^5*x^(25*m) + 15*a^2*b^3*x^4*x^(20*m) + 20*a^3*b^2*x^3*x^(15*m) + 15*a^4*b*x^2*x^(10*m) + 6*a^5*x*x^(5*m))/(5*m + 1)","B",0
337,1,82,0,0.417753," ","integrate(1/(b*x^(1-2*m)+a*x^m)^3,x, algorithm=""fricas"")","-\frac{2 \, a x x^{3 \, m} + b x^{2}}{2 \, {\left(2 \, {\left(3 \, a^{3} b m - a^{3} b\right)} x x^{3 \, m} + {\left(3 \, a^{2} b^{2} m - a^{2} b^{2}\right)} x^{2} + {\left(3 \, a^{4} m - a^{4}\right)} x^{6 \, m}\right)}}"," ",0,"-1/2*(2*a*x*x^(3*m) + b*x^2)/(2*(3*a^3*b*m - a^3*b)*x*x^(3*m) + (3*a^2*b^2*m - a^2*b^2)*x^2 + (3*a^4*m - a^4)*x^(6*m))","B",0
338,1,13,0,0.374780," ","integrate(1/(b/x+a*x),x, algorithm=""fricas"")","\frac{\log\left(a x^{2} + b\right)}{2 \, a}"," ",0,"1/2*log(a*x^2 + b)/a","A",0
339,1,13,0,0.386338," ","integrate(1/(b/x^2+a*x),x, algorithm=""fricas"")","\frac{\log\left(a x^{3} + b\right)}{3 \, a}"," ",0,"1/3*log(a*x^3 + b)/a","A",0
340,1,13,0,0.383436," ","integrate(1/(b/x^3+a*x),x, algorithm=""fricas"")","\frac{\log\left(a x^{4} + b\right)}{4 \, a}"," ",0,"1/4*log(a*x^4 + b)/a","A",0
341,1,36,0,0.371241," ","integrate(1/(b/x+a*x)^3,x, algorithm=""fricas"")","-\frac{2 \, a x^{2} + b}{4 \, {\left(a^{4} x^{4} + 2 \, a^{3} b x^{2} + a^{2} b^{2}\right)}}"," ",0,"-1/4*(2*a*x^2 + b)/(a^4*x^4 + 2*a^3*b*x^2 + a^2*b^2)","B",0
342,1,36,0,0.366407," ","integrate(1/(b/x^3+a*x^2)^3,x, algorithm=""fricas"")","-\frac{2 \, a x^{5} + b}{10 \, {\left(a^{4} x^{10} + 2 \, a^{3} b x^{5} + a^{2} b^{2}\right)}}"," ",0,"-1/10*(2*a*x^5 + b)/(a^4*x^10 + 2*a^3*b*x^5 + a^2*b^2)","B",0
343,1,36,0,0.384438," ","integrate(1/(b/x^5+a*x^3)^3,x, algorithm=""fricas"")","-\frac{2 \, a x^{8} + b}{16 \, {\left(a^{4} x^{16} + 2 \, a^{3} b x^{8} + a^{2} b^{2}\right)}}"," ",0,"-1/16*(2*a*x^8 + b)/(a^4*x^16 + 2*a^3*b*x^8 + a^2*b^2)","B",0
344,1,25,0,0.375165," ","integrate((a/x+b*x)^2,x, algorithm=""fricas"")","\frac{b^{2} x^{4} + 6 \, a b x^{2} - 3 \, a^{2}}{3 \, x}"," ",0,"1/3*(b^2*x^4 + 6*a*b*x^2 - 3*a^2)/x","A",0
345,1,38,0,0.373156," ","integrate((a/x+b*x)^3,x, algorithm=""fricas"")","\frac{b^{3} x^{6} + 6 \, a b^{2} x^{4} + 12 \, a^{2} b x^{2} \log\left(x\right) - 2 \, a^{3}}{4 \, x^{2}}"," ",0,"1/4*(b^3*x^6 + 6*a*b^2*x^4 + 12*a^2*b*x^2*log(x) - 2*a^3)/x^2","A",0
346,1,48,0,0.378363," ","integrate((a/x+b*x)^4,x, algorithm=""fricas"")","\frac{3 \, b^{4} x^{8} + 20 \, a b^{3} x^{6} + 90 \, a^{2} b^{2} x^{4} - 60 \, a^{3} b x^{2} - 5 \, a^{4}}{15 \, x^{3}}"," ",0,"1/15*(3*b^4*x^8 + 20*a*b^3*x^6 + 90*a^2*b^2*x^4 - 60*a^3*b*x^2 - 5*a^4)/x^3","A",0
347,1,637,0,1.283807," ","integrate(1/(1/x^2+x^3),x, algorithm=""fricas"")","-\frac{1}{20} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)} \log\left(\frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + x\right) + \frac{1}{20} \, {\left(\sqrt{5} + 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \sqrt{5} - 3\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \frac{1}{2} \, \sqrt{5} - \frac{5}{2}} - 1\right)} \log\left(-\frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} - \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + \frac{1}{2} \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \sqrt{5} - 3\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \frac{1}{2} \, \sqrt{5} - \frac{5}{2}} {\left(\sqrt{5} - 1\right)} + 2 \, x - 1\right) + \frac{1}{20} \, {\left(\sqrt{5} - 2 \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \sqrt{5} - 3\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \frac{1}{2} \, \sqrt{5} - \frac{5}{2}} - 1\right)} \log\left(-\frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} - \frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} - \frac{1}{2} \, \sqrt{-\frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \sqrt{5} + 1\right)}^{2} + \frac{1}{8} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \sqrt{5} - 3\right)} {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} - \frac{3}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} + \frac{1}{2} \, \sqrt{5} - \frac{5}{2}} {\left(\sqrt{5} - 1\right)} + 2 \, x - 1\right) + \frac{1}{20} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)} \log\left(\frac{1}{16} \, {\left(2 \, \sqrt{\frac{1}{2}} \sqrt{\sqrt{5} - 5} - \sqrt{5} - 1\right)}^{2} + x\right) + \frac{1}{5} \, \log\left(x + 1\right)"," ",0,"-1/20*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)*log(1/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + x) + 1/20*(sqrt(5) + 2*sqrt(-3/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 1/8*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) + sqrt(5) - 3)*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1) - 3/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + sqrt(1/2)*sqrt(sqrt(5) - 5) + 1/2*sqrt(5) - 5/2) - 1)*log(-1/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 - 1/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + 1/2*sqrt(-3/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 1/8*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) + sqrt(5) - 3)*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1) - 3/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + sqrt(1/2)*sqrt(sqrt(5) - 5) + 1/2*sqrt(5) - 5/2)*(sqrt(5) - 1) + 2*x - 1) + 1/20*(sqrt(5) - 2*sqrt(-3/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 1/8*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) + sqrt(5) - 3)*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1) - 3/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + sqrt(1/2)*sqrt(sqrt(5) - 5) + 1/2*sqrt(5) - 5/2) - 1)*log(-1/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 - 1/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 - 1/2*sqrt(-3/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) + sqrt(5) + 1)^2 + 1/8*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) + sqrt(5) - 3)*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1) - 3/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + sqrt(1/2)*sqrt(sqrt(5) - 5) + 1/2*sqrt(5) - 5/2)*(sqrt(5) - 1) + 2*x - 1) + 1/20*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)*log(1/16*(2*sqrt(1/2)*sqrt(sqrt(5) - 5) - sqrt(5) - 1)^2 + x) + 1/5*log(x + 1)","B",0
348,1,297,0,0.432820," ","integrate(x^p*(a*x^n+b*x^(1+13*n+p))^12,x, algorithm=""fricas"")","\frac{78 \, a^{2} b^{10} x^{2 \, n} x^{143 \, n + 11 \, p + 11} + 286 \, a^{3} b^{9} x^{3 \, n} x^{130 \, n + 10 \, p + 10} + 715 \, a^{4} b^{8} x^{4 \, n} x^{117 \, n + 9 \, p + 9} + 1287 \, a^{5} b^{7} x^{5 \, n} x^{104 \, n + 8 \, p + 8} + 1716 \, a^{6} b^{6} x^{6 \, n} x^{91 \, n + 7 \, p + 7} + 1716 \, a^{7} b^{5} x^{7 \, n} x^{78 \, n + 6 \, p + 6} + 1287 \, a^{8} b^{4} x^{8 \, n} x^{65 \, n + 5 \, p + 5} + 715 \, a^{9} b^{3} x^{9 \, n} x^{52 \, n + 4 \, p + 4} + 286 \, a^{10} b^{2} x^{10 \, n} x^{39 \, n + 3 \, p + 3} + 78 \, a^{11} b x^{11 \, n} x^{26 \, n + 2 \, p + 2} + 13 \, a^{12} x^{12 \, n} x^{13 \, n + p + 1} + 13 \, a b^{11} x^{156 \, n + 12 \, p + 12} x^{n} + b^{12} x^{169 \, n + 13 \, p + 13}}{13 \, {\left(12 \, n + p + 1\right)} x^{13 \, n}}"," ",0,"1/13*(78*a^2*b^10*x^(2*n)*x^(143*n + 11*p + 11) + 286*a^3*b^9*x^(3*n)*x^(130*n + 10*p + 10) + 715*a^4*b^8*x^(4*n)*x^(117*n + 9*p + 9) + 1287*a^5*b^7*x^(5*n)*x^(104*n + 8*p + 8) + 1716*a^6*b^6*x^(6*n)*x^(91*n + 7*p + 7) + 1716*a^7*b^5*x^(7*n)*x^(78*n + 6*p + 6) + 1287*a^8*b^4*x^(8*n)*x^(65*n + 5*p + 5) + 715*a^9*b^3*x^(9*n)*x^(52*n + 4*p + 4) + 286*a^10*b^2*x^(10*n)*x^(39*n + 3*p + 3) + 78*a^11*b*x^(11*n)*x^(26*n + 2*p + 2) + 13*a^12*x^(12*n)*x^(13*n + p + 1) + 13*a*b^11*x^(156*n + 12*p + 12)*x^n + b^12*x^(169*n + 13*p + 13))/((12*n + p + 1)*x^(13*n))","B",0
349,1,134,0,0.349236," ","integrate(x^12*(b*x^13+a)^12,x, algorithm=""fricas"")","\frac{1}{169} x^{169} b^{12} + \frac{1}{13} x^{156} b^{11} a + \frac{6}{13} x^{143} b^{10} a^{2} + \frac{22}{13} x^{130} b^{9} a^{3} + \frac{55}{13} x^{117} b^{8} a^{4} + \frac{99}{13} x^{104} b^{7} a^{5} + \frac{132}{13} x^{91} b^{6} a^{6} + \frac{132}{13} x^{78} b^{5} a^{7} + \frac{99}{13} x^{65} b^{4} a^{8} + \frac{55}{13} x^{52} b^{3} a^{9} + \frac{22}{13} x^{39} b^{2} a^{10} + \frac{6}{13} x^{26} b a^{11} + \frac{1}{13} x^{13} a^{12}"," ",0,"1/169*x^169*b^12 + 1/13*x^156*b^11*a + 6/13*x^143*b^10*a^2 + 22/13*x^130*b^9*a^3 + 55/13*x^117*b^8*a^4 + 99/13*x^104*b^7*a^5 + 132/13*x^91*b^6*a^6 + 132/13*x^78*b^5*a^7 + 99/13*x^65*b^4*a^8 + 55/13*x^52*b^3*a^9 + 22/13*x^39*b^2*a^10 + 6/13*x^26*b*a^11 + 1/13*x^13*a^12","B",0
350,1,134,0,0.348427," ","integrate(x^12*(b*x^26+a*x)^12,x, algorithm=""fricas"")","\frac{1}{325} x^{325} b^{12} + \frac{1}{25} x^{300} b^{11} a + \frac{6}{25} x^{275} b^{10} a^{2} + \frac{22}{25} x^{250} b^{9} a^{3} + \frac{11}{5} x^{225} b^{8} a^{4} + \frac{99}{25} x^{200} b^{7} a^{5} + \frac{132}{25} x^{175} b^{6} a^{6} + \frac{132}{25} x^{150} b^{5} a^{7} + \frac{99}{25} x^{125} b^{4} a^{8} + \frac{11}{5} x^{100} b^{3} a^{9} + \frac{22}{25} x^{75} b^{2} a^{10} + \frac{6}{25} x^{50} b a^{11} + \frac{1}{25} x^{25} a^{12}"," ",0,"1/325*x^325*b^12 + 1/25*x^300*b^11*a + 6/25*x^275*b^10*a^2 + 22/25*x^250*b^9*a^3 + 11/5*x^225*b^8*a^4 + 99/25*x^200*b^7*a^5 + 132/25*x^175*b^6*a^6 + 132/25*x^150*b^5*a^7 + 99/25*x^125*b^4*a^8 + 11/5*x^100*b^3*a^9 + 22/25*x^75*b^2*a^10 + 6/25*x^50*b*a^11 + 1/25*x^25*a^12","B",0
351,1,134,0,0.345870," ","integrate(x^12*(b*x^39+a*x^2)^12,x, algorithm=""fricas"")","\frac{1}{481} x^{481} b^{12} + \frac{1}{37} x^{444} b^{11} a + \frac{6}{37} x^{407} b^{10} a^{2} + \frac{22}{37} x^{370} b^{9} a^{3} + \frac{55}{37} x^{333} b^{8} a^{4} + \frac{99}{37} x^{296} b^{7} a^{5} + \frac{132}{37} x^{259} b^{6} a^{6} + \frac{132}{37} x^{222} b^{5} a^{7} + \frac{99}{37} x^{185} b^{4} a^{8} + \frac{55}{37} x^{148} b^{3} a^{9} + \frac{22}{37} x^{111} b^{2} a^{10} + \frac{6}{37} x^{74} b a^{11} + \frac{1}{37} x^{37} a^{12}"," ",0,"1/481*x^481*b^12 + 1/37*x^444*b^11*a + 6/37*x^407*b^10*a^2 + 22/37*x^370*b^9*a^3 + 55/37*x^333*b^8*a^4 + 99/37*x^296*b^7*a^5 + 132/37*x^259*b^6*a^6 + 132/37*x^222*b^5*a^7 + 99/37*x^185*b^4*a^8 + 55/37*x^148*b^3*a^9 + 22/37*x^111*b^2*a^10 + 6/37*x^74*b*a^11 + 1/37*x^37*a^12","B",0
352,1,134,0,0.348241," ","integrate(x^24*(b*x^25+a)^12,x, algorithm=""fricas"")","\frac{1}{325} x^{325} b^{12} + \frac{1}{25} x^{300} b^{11} a + \frac{6}{25} x^{275} b^{10} a^{2} + \frac{22}{25} x^{250} b^{9} a^{3} + \frac{11}{5} x^{225} b^{8} a^{4} + \frac{99}{25} x^{200} b^{7} a^{5} + \frac{132}{25} x^{175} b^{6} a^{6} + \frac{132}{25} x^{150} b^{5} a^{7} + \frac{99}{25} x^{125} b^{4} a^{8} + \frac{11}{5} x^{100} b^{3} a^{9} + \frac{22}{25} x^{75} b^{2} a^{10} + \frac{6}{25} x^{50} b a^{11} + \frac{1}{25} x^{25} a^{12}"," ",0,"1/325*x^325*b^12 + 1/25*x^300*b^11*a + 6/25*x^275*b^10*a^2 + 22/25*x^250*b^9*a^3 + 11/5*x^225*b^8*a^4 + 99/25*x^200*b^7*a^5 + 132/25*x^175*b^6*a^6 + 132/25*x^150*b^5*a^7 + 99/25*x^125*b^4*a^8 + 11/5*x^100*b^3*a^9 + 22/25*x^75*b^2*a^10 + 6/25*x^50*b*a^11 + 1/25*x^25*a^12","B",0
353,1,134,0,0.354586," ","integrate(x^24*(b*x^38+a*x)^12,x, algorithm=""fricas"")","\frac{1}{481} x^{481} b^{12} + \frac{1}{37} x^{444} b^{11} a + \frac{6}{37} x^{407} b^{10} a^{2} + \frac{22}{37} x^{370} b^{9} a^{3} + \frac{55}{37} x^{333} b^{8} a^{4} + \frac{99}{37} x^{296} b^{7} a^{5} + \frac{132}{37} x^{259} b^{6} a^{6} + \frac{132}{37} x^{222} b^{5} a^{7} + \frac{99}{37} x^{185} b^{4} a^{8} + \frac{55}{37} x^{148} b^{3} a^{9} + \frac{22}{37} x^{111} b^{2} a^{10} + \frac{6}{37} x^{74} b a^{11} + \frac{1}{37} x^{37} a^{12}"," ",0,"1/481*x^481*b^12 + 1/37*x^444*b^11*a + 6/37*x^407*b^10*a^2 + 22/37*x^370*b^9*a^3 + 55/37*x^333*b^8*a^4 + 99/37*x^296*b^7*a^5 + 132/37*x^259*b^6*a^6 + 132/37*x^222*b^5*a^7 + 99/37*x^185*b^4*a^8 + 55/37*x^148*b^3*a^9 + 22/37*x^111*b^2*a^10 + 6/37*x^74*b*a^11 + 1/37*x^37*a^12","B",0
354,1,134,0,0.358050," ","integrate(x^36*(b*x^37+a)^12,x, algorithm=""fricas"")","\frac{1}{481} x^{481} b^{12} + \frac{1}{37} x^{444} b^{11} a + \frac{6}{37} x^{407} b^{10} a^{2} + \frac{22}{37} x^{370} b^{9} a^{3} + \frac{55}{37} x^{333} b^{8} a^{4} + \frac{99}{37} x^{296} b^{7} a^{5} + \frac{132}{37} x^{259} b^{6} a^{6} + \frac{132}{37} x^{222} b^{5} a^{7} + \frac{99}{37} x^{185} b^{4} a^{8} + \frac{55}{37} x^{148} b^{3} a^{9} + \frac{22}{37} x^{111} b^{2} a^{10} + \frac{6}{37} x^{74} b a^{11} + \frac{1}{37} x^{37} a^{12}"," ",0,"1/481*x^481*b^12 + 1/37*x^444*b^11*a + 6/37*x^407*b^10*a^2 + 22/37*x^370*b^9*a^3 + 55/37*x^333*b^8*a^4 + 99/37*x^296*b^7*a^5 + 132/37*x^259*b^6*a^6 + 132/37*x^222*b^5*a^7 + 99/37*x^185*b^4*a^8 + 55/37*x^148*b^3*a^9 + 22/37*x^111*b^2*a^10 + 6/37*x^74*b*a^11 + 1/37*x^37*a^12","B",0
355,1,27,0,0.406894," ","integrate(1/(a*x+b*x^n),x, algorithm=""fricas"")","\frac{n \log\left(x\right) - \log\left(a x + b x^{n}\right)}{a n - a}"," ",0,"(n*log(x) - log(a*x + b*x^n))/(a*n - a)","A",0
356,1,28,0,0.422732," ","integrate(1/(a*x+b*x^(1+n)),x, algorithm=""fricas"")","\frac{{\left(n + 1\right)} \log\left(x\right) - \log\left(a x + b x^{n + 1}\right)}{a n}"," ",0,"((n + 1)*log(x) - log(a*x + b*x^(n + 1)))/(a*n)","A",0
357,1,28,0,0.422059," ","integrate(1/(a*x+b*x^(1-n)),x, algorithm=""fricas"")","\frac{{\left(n - 1\right)} \log\left(x\right) + \log\left(a x + b x^{-n + 1}\right)}{a n}"," ",0,"((n - 1)*log(x) + log(a*x + b*x^(-n + 1)))/(a*n)","A",0
358,1,26,0,0.401757," ","integrate(1/(2*x+3*x^(1+n)),x, algorithm=""fricas"")","\frac{{\left(n + 1\right)} \log\left(x\right) - \log\left(3 \, x^{n + 1} + 2 \, x\right)}{2 \, n}"," ",0,"1/2*((n + 1)*log(x) - log(3*x^(n + 1) + 2*x))/n","A",0
359,1,26,0,0.404741," ","integrate(1/(2*x+3*x^(1-n)),x, algorithm=""fricas"")","\frac{{\left(n - 1\right)} \log\left(x\right) + \log\left(3 \, x^{-n + 1} + 2 \, x\right)}{2 \, n}"," ",0,"1/2*((n - 1)*log(x) + log(3*x^(-n + 1) + 2*x))/n","A",0
360,1,8,0,0.389105," ","integrate(1/(x-x^(1/2)),x, algorithm=""fricas"")","2 \, \log\left(\sqrt{x} - 1\right)"," ",0,"2*log(sqrt(x) - 1)","A",0
361,1,8,0,0.396762," ","integrate(1/(-x^(3/5)+x),x, algorithm=""fricas"")","\frac{5}{2} \, \log\left(x^{\frac{2}{5}} - 1\right)"," ",0,"5/2*log(x^(2/5) - 1)","A",0
362,1,8,0,0.385054," ","integrate(1/(1/x^(1/3)+x),x, algorithm=""fricas"")","\frac{3}{4} \, \log\left(x^{\frac{4}{3}} + 1\right)"," ",0,"3/4*log(x^(4/3) + 1)","A",0
363,1,24,0,0.422101," ","integrate(1/(x+x^(2^(1/2))),x, algorithm=""fricas"")","-{\left(\sqrt{2} + 1\right)} \log\left(x + x^{\left(\sqrt{2}\right)}\right) + {\left(\sqrt{2} + 2\right)} \log\left(x\right)"," ",0,"-(sqrt(2) + 1)*log(x + x^sqrt(2)) + (sqrt(2) + 2)*log(x)","A",0
364,-2,0,0,0.000000," ","integrate(x^(-1-1/2*j)*(a*x^j+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
365,-2,0,0,0.000000," ","integrate((c*x)^(-1-1/2*j)*(a*x^j+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
366,-2,0,0,0.000000," ","integrate((a*x^3+b*x^n)^(1/2)/(c*x)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
367,-2,0,0,0.000000," ","integrate((a*x^2+b*x^n)^(1/2)/c^2/x^2,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
368,-2,0,0,0.000000," ","integrate((a*x+b*x^n)^(1/2)/(c*x)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
369,1,97,0,0.430560," ","integrate((a+b*x^n)^(1/2)/c/x,x, algorithm=""fricas"")","\left[\frac{\sqrt{a} \log\left(\frac{b x^{n} - 2 \, \sqrt{b x^{n} + a} \sqrt{a} + 2 \, a}{x^{n}}\right) + 2 \, \sqrt{b x^{n} + a}}{c n}, \frac{2 \, {\left(\sqrt{-a} \arctan\left(\frac{\sqrt{b x^{n} + a} \sqrt{-a}}{a}\right) + \sqrt{b x^{n} + a}\right)}}{c n}\right]"," ",0,"[(sqrt(a)*log((b*x^n - 2*sqrt(b*x^n + a)*sqrt(a) + 2*a)/x^n) + 2*sqrt(b*x^n + a))/(c*n), 2*(sqrt(-a)*arctan(sqrt(b*x^n + a)*sqrt(-a)/a) + sqrt(b*x^n + a))/(c*n)]","A",0
370,-2,0,0,0.000000," ","integrate((a/x+b*x^n)^(1/2)/(c*x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
371,-2,0,0,0.000000," ","integrate((a/x^2+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
372,-2,0,0,0.000000," ","integrate((c*x)^(1/2)*(a/x^3+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
373,-2,0,0,0.000000," ","integrate((c*x)^(-1-3/2*j)*(a*x^j+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
374,-2,0,0,0.000000," ","integrate((a*x^3+b*x^n)^(3/2)/(c*x)^(11/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
375,-2,0,0,0.000000," ","integrate((a*x^2+b*x^n)^(3/2)/c^4/x^4,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
376,-2,0,0,0.000000," ","integrate((a*x+b*x^n)^(3/2)/(c*x)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
377,1,120,0,0.421966," ","integrate((a+b*x^n)^(3/2)/c/x,x, algorithm=""fricas"")","\left[\frac{3 \, a^{\frac{3}{2}} \log\left(\frac{b x^{n} - 2 \, \sqrt{b x^{n} + a} \sqrt{a} + 2 \, a}{x^{n}}\right) + 2 \, {\left(b x^{n} + 4 \, a\right)} \sqrt{b x^{n} + a}}{3 \, c n}, \frac{2 \, {\left(3 \, \sqrt{-a} a \arctan\left(\frac{\sqrt{b x^{n} + a} \sqrt{-a}}{a}\right) + {\left(b x^{n} + 4 \, a\right)} \sqrt{b x^{n} + a}\right)}}{3 \, c n}\right]"," ",0,"[1/3*(3*a^(3/2)*log((b*x^n - 2*sqrt(b*x^n + a)*sqrt(a) + 2*a)/x^n) + 2*(b*x^n + 4*a)*sqrt(b*x^n + a))/(c*n), 2/3*(3*sqrt(-a)*a*arctan(sqrt(b*x^n + a)*sqrt(-a)/a) + (b*x^n + 4*a)*sqrt(b*x^n + a))/(c*n)]","A",0
378,-2,0,0,0.000000," ","integrate((c*x)^(1/2)*(a/x+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
379,-2,0,0,0.000000," ","integrate(c^2*x^2*(a/x^2+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
380,-2,0,0,0.000000," ","integrate((c*x)^(7/2)*(a/x^3+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
381,-2,0,0,0.000000," ","integrate(c^5*x^5*(a/x^4+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
382,1,93,0,0.415367," ","integrate(((b*x+a)/x^2)^(1/2),x, algorithm=""fricas"")","\left[2 \, x \sqrt{\frac{b x + a}{x^{2}}} + \sqrt{a} \log\left(\frac{b x - 2 \, \sqrt{a} x \sqrt{\frac{b x + a}{x^{2}}} + 2 \, a}{x}\right), 2 \, x \sqrt{\frac{b x + a}{x^{2}}} + 2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{-a} x \sqrt{\frac{b x + a}{x^{2}}}}{a}\right)\right]"," ",0,"[2*x*sqrt((b*x + a)/x^2) + sqrt(a)*log((b*x - 2*sqrt(a)*x*sqrt((b*x + a)/x^2) + 2*a)/x), 2*x*sqrt((b*x + a)/x^2) + 2*sqrt(-a)*arctan(sqrt(-a)*x*sqrt((b*x + a)/x^2)/a)]","A",0
383,1,108,0,0.426421," ","integrate(((b*x^2+a)/x^2)^(1/2),x, algorithm=""fricas"")","\left[x \sqrt{\frac{b x^{2} + a}{x^{2}}} + \frac{1}{2} \, \sqrt{a} \log\left(-\frac{b x^{2} - 2 \, \sqrt{a} x \sqrt{\frac{b x^{2} + a}{x^{2}}} + 2 \, a}{x^{2}}\right), x \sqrt{\frac{b x^{2} + a}{x^{2}}} + \sqrt{-a} \arctan\left(\frac{\sqrt{-a} x \sqrt{\frac{b x^{2} + a}{x^{2}}}}{b x^{2} + a}\right)\right]"," ",0,"[x*sqrt((b*x^2 + a)/x^2) + 1/2*sqrt(a)*log(-(b*x^2 - 2*sqrt(a)*x*sqrt((b*x^2 + a)/x^2) + 2*a)/x^2), x*sqrt((b*x^2 + a)/x^2) + sqrt(-a)*arctan(sqrt(-a)*x*sqrt((b*x^2 + a)/x^2)/(b*x^2 + a))]","A",0
384,1,104,0,0.416847," ","integrate(((b*x^3+a)/x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{2}{3} \, x \sqrt{\frac{b x^{3} + a}{x^{2}}} + \frac{1}{3} \, \sqrt{a} \log\left(\frac{b x^{3} - 2 \, \sqrt{a} x \sqrt{\frac{b x^{3} + a}{x^{2}}} + 2 \, a}{x^{3}}\right), \frac{2}{3} \, x \sqrt{\frac{b x^{3} + a}{x^{2}}} + \frac{2}{3} \, \sqrt{-a} \arctan\left(\frac{\sqrt{-a} x \sqrt{\frac{b x^{3} + a}{x^{2}}}}{a}\right)\right]"," ",0,"[2/3*x*sqrt((b*x^3 + a)/x^2) + 1/3*sqrt(a)*log((b*x^3 - 2*sqrt(a)*x*sqrt((b*x^3 + a)/x^2) + 2*a)/x^3), 2/3*x*sqrt((b*x^3 + a)/x^2) + 2/3*sqrt(-a)*arctan(sqrt(-a)*x*sqrt((b*x^3 + a)/x^2)/a)]","A",0
385,1,112,0,0.418603," ","integrate(((a+b*x^n)/x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, x \sqrt{\frac{b x^{n} + a}{x^{2}}} + \sqrt{a} \log\left(\frac{b x^{n} - 2 \, \sqrt{a} x \sqrt{\frac{b x^{n} + a}{x^{2}}} + 2 \, a}{x^{n}}\right)}{n}, \frac{2 \, {\left(x \sqrt{\frac{b x^{n} + a}{x^{2}}} + \sqrt{-a} \arctan\left(\frac{\sqrt{-a} x \sqrt{\frac{b x^{n} + a}{x^{2}}}}{a}\right)\right)}}{n}\right]"," ",0,"[(2*x*sqrt((b*x^n + a)/x^2) + sqrt(a)*log((b*x^n - 2*sqrt(a)*x*sqrt((b*x^n + a)/x^2) + 2*a)/x^n))/n, 2*(x*sqrt((b*x^n + a)/x^2) + sqrt(-a)*arctan(sqrt(-a)*x*sqrt((b*x^n + a)/x^2)/a))/n]","A",0
386,1,98,0,0.401448," ","integrate(((b*x-a)/x^2)^(1/2),x, algorithm=""fricas"")","\left[2 \, x \sqrt{\frac{b x - a}{x^{2}}} + \sqrt{-a} \log\left(\frac{b x - 2 \, \sqrt{-a} x \sqrt{\frac{b x - a}{x^{2}}} - 2 \, a}{x}\right), 2 \, x \sqrt{\frac{b x - a}{x^{2}}} - 2 \, \sqrt{a} \arctan\left(\frac{x \sqrt{\frac{b x - a}{x^{2}}}}{\sqrt{a}}\right)\right]"," ",0,"[2*x*sqrt((b*x - a)/x^2) + sqrt(-a)*log((b*x - 2*sqrt(-a)*x*sqrt((b*x - a)/x^2) - 2*a)/x), 2*x*sqrt((b*x - a)/x^2) - 2*sqrt(a)*arctan(x*sqrt((b*x - a)/x^2)/sqrt(a))]","A",0
387,1,118,0,0.418579," ","integrate(((b*x^2-a)/x^2)^(1/2),x, algorithm=""fricas"")","\left[x \sqrt{\frac{b x^{2} - a}{x^{2}}} + \frac{1}{2} \, \sqrt{-a} \log\left(-\frac{b x^{2} - 2 \, \sqrt{-a} x \sqrt{\frac{b x^{2} - a}{x^{2}}} - 2 \, a}{x^{2}}\right), x \sqrt{\frac{b x^{2} - a}{x^{2}}} + \sqrt{a} \arctan\left(\frac{\sqrt{a} x \sqrt{\frac{b x^{2} - a}{x^{2}}}}{b x^{2} - a}\right)\right]"," ",0,"[x*sqrt((b*x^2 - a)/x^2) + 1/2*sqrt(-a)*log(-(b*x^2 - 2*sqrt(-a)*x*sqrt((b*x^2 - a)/x^2) - 2*a)/x^2), x*sqrt((b*x^2 - a)/x^2) + sqrt(a)*arctan(sqrt(a)*x*sqrt((b*x^2 - a)/x^2)/(b*x^2 - a))]","A",0
388,1,109,0,0.401106," ","integrate(((b*x^3-a)/x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{2}{3} \, x \sqrt{\frac{b x^{3} - a}{x^{2}}} + \frac{1}{3} \, \sqrt{-a} \log\left(\frac{b x^{3} - 2 \, \sqrt{-a} x \sqrt{\frac{b x^{3} - a}{x^{2}}} - 2 \, a}{x^{3}}\right), \frac{2}{3} \, x \sqrt{\frac{b x^{3} - a}{x^{2}}} - \frac{2}{3} \, \sqrt{a} \arctan\left(\frac{x \sqrt{\frac{b x^{3} - a}{x^{2}}}}{\sqrt{a}}\right)\right]"," ",0,"[2/3*x*sqrt((b*x^3 - a)/x^2) + 1/3*sqrt(-a)*log((b*x^3 - 2*sqrt(-a)*x*sqrt((b*x^3 - a)/x^2) - 2*a)/x^3), 2/3*x*sqrt((b*x^3 - a)/x^2) - 2/3*sqrt(a)*arctan(x*sqrt((b*x^3 - a)/x^2)/sqrt(a))]","A",0
389,1,118,0,0.415039," ","integrate(((-a+b*x^n)/x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, x \sqrt{\frac{b x^{n} - a}{x^{2}}} + \sqrt{-a} \log\left(\frac{b x^{n} - 2 \, \sqrt{-a} x \sqrt{\frac{b x^{n} - a}{x^{2}}} - 2 \, a}{x^{n}}\right)}{n}, \frac{2 \, {\left(x \sqrt{\frac{b x^{n} - a}{x^{2}}} - \sqrt{a} \arctan\left(\frac{x \sqrt{\frac{b x^{n} - a}{x^{2}}}}{\sqrt{a}}\right)\right)}}{n}\right]"," ",0,"[(2*x*sqrt((b*x^n - a)/x^2) + sqrt(-a)*log((b*x^n - 2*sqrt(-a)*x*sqrt((b*x^n - a)/x^2) - 2*a)/x^n))/n, 2*(x*sqrt((b*x^n - a)/x^2) - sqrt(a)*arctan(x*sqrt((b*x^n - a)/x^2)/sqrt(a)))/n]","A",0
390,-2,0,0,0.000000," ","integrate((c*x)^(-1+1/2*j)/(a*x^j+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
391,-2,0,0,0.000000," ","integrate((c*x)^(1/2)/(a*x^3+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
392,-2,0,0,0.000000," ","integrate(1/(a*x^2+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
393,-2,0,0,0.000000," ","integrate(1/(c*x)^(1/2)/(a*x+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
394,1,76,0,0.417740," ","integrate(1/c/x/(a+b*x^n)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b x^{n} - 2 \, \sqrt{b x^{n} + a} \sqrt{a} + 2 \, a}{x^{n}}\right)}{\sqrt{a} c n}, \frac{2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{b x^{n} + a} \sqrt{-a}}{a}\right)}{a c n}\right]"," ",0,"[log((b*x^n - 2*sqrt(b*x^n + a)*sqrt(a) + 2*a)/x^n)/(sqrt(a)*c*n), 2*sqrt(-a)*arctan(sqrt(b*x^n + a)*sqrt(-a)/a)/(a*c*n)]","A",0
395,-2,0,0,0.000000," ","integrate(1/(c*x)^(3/2)/(a/x+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
396,-2,0,0,0.000000," ","integrate(1/c^2/x^2/(a/x^2+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
397,-2,0,0,0.000000," ","integrate(1/(c*x)^(5/2)/(a/x^3+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
398,-2,0,0,0.000000," ","integrate((c*x)^(-1+3/2*j)/(a*x^j+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
399,-2,0,0,0.000000," ","integrate((c*x)^(7/2)/(a*x^3+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
400,-2,0,0,0.000000," ","integrate(c^2*x^2/(a*x^2+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
401,-2,0,0,0.000000," ","integrate((c*x)^(1/2)/(a*x+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
402,1,148,0,0.415445," ","integrate(1/c/x/(a+b*x^n)^(3/2),x, algorithm=""fricas"")","\left[\frac{{\left(\sqrt{a} b x^{n} + a^{\frac{3}{2}}\right)} \log\left(\frac{b x^{n} - 2 \, \sqrt{b x^{n} + a} \sqrt{a} + 2 \, a}{x^{n}}\right) + 2 \, \sqrt{b x^{n} + a} a}{a^{2} b c n x^{n} + a^{3} c n}, \frac{2 \, {\left({\left(\sqrt{-a} b x^{n} + \sqrt{-a} a\right)} \arctan\left(\frac{\sqrt{b x^{n} + a} \sqrt{-a}}{a}\right) + \sqrt{b x^{n} + a} a\right)}}{a^{2} b c n x^{n} + a^{3} c n}\right]"," ",0,"[((sqrt(a)*b*x^n + a^(3/2))*log((b*x^n - 2*sqrt(b*x^n + a)*sqrt(a) + 2*a)/x^n) + 2*sqrt(b*x^n + a)*a)/(a^2*b*c*n*x^n + a^3*c*n), 2*((sqrt(-a)*b*x^n + sqrt(-a)*a)*arctan(sqrt(b*x^n + a)*sqrt(-a)/a) + sqrt(b*x^n + a)*a)/(a^2*b*c*n*x^n + a^3*c*n)]","A",0
403,-2,0,0,0.000000," ","integrate(1/(c*x)^(5/2)/(a/x+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
404,-2,0,0,0.000000," ","integrate(1/c^4/x^4/(a/x^2+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
405,-2,0,0,0.000000," ","integrate(1/(c*x)^(11/2)/(a/x^3+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
406,-2,0,0,0.000000," ","integrate(1/c^7/x^7/(a/x^4+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
407,1,102,0,0.567780," ","integrate(1/((b*x^3+a)/x)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-8 \, b^{2} x^{6} - 8 \, a b x^{3} - a^{2} - 4 \, {\left(2 \, b x^{5} + a x^{2}\right)} \sqrt{b} \sqrt{\frac{b x^{3} + a}{x}}\right)}{6 \, \sqrt{b}}, -\frac{\sqrt{-b} \arctan\left(\frac{2 \, \sqrt{-b} x^{2} \sqrt{\frac{b x^{3} + a}{x}}}{2 \, b x^{3} + a}\right)}{3 \, b}\right]"," ",0,"[1/6*log(-8*b^2*x^6 - 8*a*b*x^3 - a^2 - 4*(2*b*x^5 + a*x^2)*sqrt(b)*sqrt((b*x^3 + a)/x))/sqrt(b), -1/3*sqrt(-b)*arctan(2*sqrt(-b)*x^2*sqrt((b*x^3 + a)/x)/(2*b*x^3 + a))/b]","A",0
408,1,80,0,0.418998," ","integrate(1/((b*x^4+a)/x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-2 \, b x^{4} - 2 \, \sqrt{b} x^{3} \sqrt{\frac{b x^{4} + a}{x^{2}}} - a\right)}{4 \, \sqrt{b}}, -\frac{\sqrt{-b} \arctan\left(\frac{\sqrt{-b} x^{3} \sqrt{\frac{b x^{4} + a}{x^{2}}}}{b x^{4} + a}\right)}{2 \, b}\right]"," ",0,"[1/4*log(-2*b*x^4 - 2*sqrt(b)*x^3*sqrt((b*x^4 + a)/x^2) - a)/sqrt(b), -1/2*sqrt(-b)*arctan(sqrt(-b)*x^3*sqrt((b*x^4 + a)/x^2)/(b*x^4 + a))/b]","A",0
409,1,102,0,0.933815," ","integrate(1/((b*x^5+a)/x^3)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-8 \, b^{2} x^{10} - 8 \, a b x^{5} - a^{2} - 4 \, {\left(2 \, b x^{9} + a x^{4}\right)} \sqrt{b} \sqrt{\frac{b x^{5} + a}{x^{3}}}\right)}{10 \, \sqrt{b}}, -\frac{\sqrt{-b} \arctan\left(\frac{2 \, \sqrt{-b} x^{4} \sqrt{\frac{b x^{5} + a}{x^{3}}}}{2 \, b x^{5} + a}\right)}{5 \, b}\right]"," ",0,"[1/10*log(-8*b^2*x^10 - 8*a*b*x^5 - a^2 - 4*(2*b*x^9 + a*x^4)*sqrt(b)*sqrt((b*x^5 + a)/x^3))/sqrt(b), -1/5*sqrt(-b)*arctan(2*sqrt(-b)*x^4*sqrt((b*x^5 + a)/x^3)/(2*b*x^5 + a))/b]","A",0
410,1,102,0,0.428532," ","integrate(1/(x^(2-n)*(a+b*x^n))^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{2 \, b x x^{n} + a x + 2 \, \sqrt{b} x^{n} \sqrt{\frac{b x^{2} x^{n} + a x^{2}}{x^{n}}}}{x}\right)}{\sqrt{b} n}, -\frac{2 \, \sqrt{-b} \arctan\left(\frac{\sqrt{-b} \sqrt{\frac{b x^{2} x^{n} + a x^{2}}{x^{n}}}}{b x}\right)}{b n}\right]"," ",0,"[log((2*b*x*x^n + a*x + 2*sqrt(b)*x^n*sqrt((b*x^2*x^n + a*x^2)/x^n))/x)/(sqrt(b)*n), -2*sqrt(-b)*arctan(sqrt(-b)*sqrt((b*x^2*x^n + a*x^2)/x^n)/(b*x))/(b*n)]","A",0
411,1,111,0,0.538693," ","integrate(1/((-b*x^3+a)/x)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(-8 \, b^{2} x^{6} + 8 \, a b x^{3} - a^{2} + 4 \, {\left(2 \, b x^{5} - a x^{2}\right)} \sqrt{-b} \sqrt{-\frac{b x^{3} - a}{x}}\right)}{6 \, b}, -\frac{\arctan\left(\frac{2 \, \sqrt{b} x^{2} \sqrt{-\frac{b x^{3} - a}{x}}}{2 \, b x^{3} - a}\right)}{3 \, \sqrt{b}}\right]"," ",0,"[-1/6*sqrt(-b)*log(-8*b^2*x^6 + 8*a*b*x^3 - a^2 + 4*(2*b*x^5 - a*x^2)*sqrt(-b)*sqrt(-(b*x^3 - a)/x))/b, -1/3*arctan(2*sqrt(b)*x^2*sqrt(-(b*x^3 - a)/x)/(2*b*x^3 - a))/sqrt(b)]","A",0
412,1,88,0,0.416800," ","integrate(1/((-b*x^4+a)/x^2)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(2 \, b x^{4} - 2 \, \sqrt{-b} x^{3} \sqrt{-\frac{b x^{4} - a}{x^{2}}} - a\right)}{4 \, b}, -\frac{\arctan\left(\frac{\sqrt{b} x^{3} \sqrt{-\frac{b x^{4} - a}{x^{2}}}}{b x^{4} - a}\right)}{2 \, \sqrt{b}}\right]"," ",0,"[-1/4*sqrt(-b)*log(2*b*x^4 - 2*sqrt(-b)*x^3*sqrt(-(b*x^4 - a)/x^2) - a)/b, -1/2*arctan(sqrt(b)*x^3*sqrt(-(b*x^4 - a)/x^2)/(b*x^4 - a))/sqrt(b)]","A",0
413,1,111,0,0.929425," ","integrate(1/((-b*x^5+a)/x^3)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(-8 \, b^{2} x^{10} + 8 \, a b x^{5} - a^{2} + 4 \, {\left(2 \, b x^{9} - a x^{4}\right)} \sqrt{-b} \sqrt{-\frac{b x^{5} - a}{x^{3}}}\right)}{10 \, b}, -\frac{\arctan\left(\frac{2 \, \sqrt{b} x^{4} \sqrt{-\frac{b x^{5} - a}{x^{3}}}}{2 \, b x^{5} - a}\right)}{5 \, \sqrt{b}}\right]"," ",0,"[-1/10*sqrt(-b)*log(-8*b^2*x^10 + 8*a*b*x^5 - a^2 + 4*(2*b*x^9 - a*x^4)*sqrt(-b)*sqrt(-(b*x^5 - a)/x^3))/b, -1/5*arctan(2*sqrt(b)*x^4*sqrt(-(b*x^5 - a)/x^3)/(2*b*x^5 - a))/sqrt(b)]","A",0
414,1,106,0,0.425790," ","integrate(1/(x^(2-n)*(a-b*x^n))^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(-\frac{2 \, b x x^{n} - a x - 2 \, \sqrt{-b} x^{n} \sqrt{-\frac{b x^{2} x^{n} - a x^{2}}{x^{n}}}}{x}\right)}{b n}, -\frac{2 \, \arctan\left(\frac{\sqrt{-\frac{b x^{2} x^{n} - a x^{2}}{x^{n}}}}{\sqrt{b} x}\right)}{\sqrt{b} n}\right]"," ",0,"[-sqrt(-b)*log(-(2*b*x*x^n - a*x - 2*sqrt(-b)*x^n*sqrt(-(b*x^2*x^n - a*x^2)/x^n))/x)/(b*n), -2*arctan(sqrt(-(b*x^2*x^n - a*x^2)/x^n)/(sqrt(b)*x))/(sqrt(b)*n)]","A",0
415,-2,0,0,0.000000," ","integrate(1/(x^n*(a+b*x^(2-n)))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
416,1,109,0,0.434760," ","integrate(1/(x^2*(b+a*x^(-2+n)))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{b} \log\left(\frac{a x x^{n - 2} + 2 \, b x - 2 \, \sqrt{a x^{2} x^{n - 2} + b x^{2}} \sqrt{b}}{x x^{n - 2}}\right)}{b n - 2 \, b}, \frac{2 \, \sqrt{-b} \arctan\left(\frac{\sqrt{a x^{2} x^{n - 2} + b x^{2}} \sqrt{-b}}{b x}\right)}{b n - 2 \, b}\right]"," ",0,"[sqrt(b)*log((a*x*x^(n - 2) + 2*b*x - 2*sqrt(a*x^2*x^(n - 2) + b*x^2)*sqrt(b))/(x*x^(n - 2)))/(b*n - 2*b), 2*sqrt(-b)*arctan(sqrt(a*x^2*x^(n - 2) + b*x^2)*sqrt(-b)/(b*x))/(b*n - 2*b)]","A",0
417,-2,0,0,0.000000," ","integrate(1/(x*(b*x+a*x^(-1+n)))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
418,-2,0,0,0.000000," ","integrate(1/(x^n*(a-b*x^(2-n)))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
419,1,109,0,0.435511," ","integrate(1/(x^2*(-b+a*x^(-2+n)))^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(\frac{a x x^{n - 2} - 2 \, b x - 2 \, \sqrt{a x^{2} x^{n - 2} - b x^{2}} \sqrt{-b}}{x x^{n - 2}}\right)}{b n - 2 \, b}, \frac{2 \, \sqrt{b} \arctan\left(\frac{\sqrt{a x^{2} x^{n - 2} - b x^{2}}}{\sqrt{b} x}\right)}{b n - 2 \, b}\right]"," ",0,"[-sqrt(-b)*log((a*x*x^(n - 2) - 2*b*x - 2*sqrt(a*x^2*x^(n - 2) - b*x^2)*sqrt(-b))/(x*x^(n - 2)))/(b*n - 2*b), 2*sqrt(b)*arctan(sqrt(a*x^2*x^(n - 2) - b*x^2)/(sqrt(b)*x))/(b*n - 2*b)]","A",0
420,-2,0,0,0.000000," ","integrate(1/(x*(-b*x+a*x^(-1+n)))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
421,-2,0,0,0.000000," ","integrate((c*x)^m*(a*x^j+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
422,-2,0,0,0.000000," ","integrate((c*x)^m*(a*x^j+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
423,-2,0,0,0.000000," ","integrate((c*x)^m/(a*x^j+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
424,-2,0,0,0.000000," ","integrate((c*x)^m/(a*x^j+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
425,-2,0,0,0.000000," ","integrate((c*x)^m/(a*x^j+b*x^n)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
426,-2,0,0,0.000000," ","integrate((a*x^j+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
427,-2,0,0,0.000000," ","integrate((a*x^j+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
428,-2,0,0,0.000000," ","integrate(1/(a*x^j+b*x^n)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
429,-2,0,0,0.000000," ","integrate(1/(a*x^j+b*x^n)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
430,-2,0,0,0.000000," ","integrate(1/(a*x^j+b*x^n)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
431,1,16,0,0.387184," ","integrate(((1+x)/x^5)^(1/2),x, algorithm=""fricas"")","-\frac{2}{3} \, {\left(x^{2} + x\right)} \sqrt{\frac{x + 1}{x^{5}}}"," ",0,"-2/3*(x^2 + x)*sqrt((x + 1)/x^5)","A",0
432,1,19,0,0.428080," ","integrate((x+x^(5/2))^(1/2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{x^{\frac{5}{2}} + x} {\left(x^{2} + \sqrt{x}\right)}}{9 \, x}"," ",0,"4/9*sqrt(x^(5/2) + x)*(x^2 + sqrt(x))/x","A",0
433,1,6,0,0.391245," ","integrate(1/(x^(3/2)+x^(1/2)),x, algorithm=""fricas"")","2 \, \arctan\left(\sqrt{x}\right)"," ",0,"2*arctan(sqrt(x))","A",0
434,1,28,0,0.376524," ","integrate(x*(x^2*(b*x^3+a))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{5} + a x^{2}} {\left(b x^{3} + a\right)}}{9 \, b x}"," ",0,"2/9*sqrt(b*x^5 + a*x^2)*(b*x^3 + a)/(b*x)","A",0
435,1,28,0,0.382908," ","integrate(x*(b*x^5+a*x^2)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{5} + a x^{2}} {\left(b x^{3} + a\right)}}{9 \, b x}"," ",0,"2/9*sqrt(b*x^5 + a*x^2)*(b*x^3 + a)/(b*x)","A",0
436,1,28,0,0.392062," ","integrate((x^4*(b*x^3+a))^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x^{7} + a x^{4}} {\left(b x^{3} + a\right)}}{9 \, b x^{2}}"," ",0,"2/9*sqrt(b*x^7 + a*x^4)*(b*x^3 + a)/(b*x^2)","A",0
437,-1,0,0,0.000000," ","integrate(1/(a*x^(1/3)+b*x^(2/3))^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
438,-1,0,0,0.000000," ","integrate(1/(a*x^(1/3)+b*x^(2/3))^(2/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
439,0,0,0,0.733434," ","integrate(x^m*(a*x^j+b*x^n)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(a x^{j} + b x^{n}\right)}^{p} x^{m}, x\right)"," ",0,"integral((a*x^j + b*x^n)^p*x^m, x)","F",0
440,0,0,0,0.560789," ","integrate(x^(-p*q-1)*(b*x^n+a*x^q)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{n} + a x^{q}\right)}^{p} x^{-p q - 1}, x\right)"," ",0,"integral((b*x^n + a*x^q)^p*x^(-p*q - 1), x)","F",0
441,0,0,0,0.634955," ","integrate(x^(-n*p-1)*(b*x^n+a*x^q)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{n} + a x^{q}\right)}^{p} x^{-n p - 1}, x\right)"," ",0,"integral((b*x^n + a*x^q)^p*x^(-n*p - 1), x)","F",0
442,0,0,0,0.709426," ","integrate(x^(-1-n-(-1+p)*q)*(b*x^n+a*x^q)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{n} + a x^{q}\right)}^{p} x^{-{\left(p - 1\right)} q - n - 1}, x\right)"," ",0,"integral((b*x^n + a*x^q)^p*x^(-(p - 1)*q - n - 1), x)","F",0
443,0,0,0,0.622894," ","integrate(x^(-1-n*(-1+p)-q)*(b*x^n+a*x^q)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x^{n} + a x^{q}\right)}^{p} x^{-n p + n - q - 1}, x\right)"," ",0,"integral((b*x^n + a*x^q)^p*x^(-n*p + n - q - 1), x)","F",0
444,1,64,0,0.645753," ","integrate((a*x^m+b*x^(m*p+m+1))^p,x, algorithm=""fricas"")","\frac{{\left(b x x^{m p + m + 1} + a x x^{m}\right)} {\left(b x^{m p + m + 1} + a x^{m}\right)}^{p}}{{\left(b m p^{2} + {\left(b m + b\right)} p + b\right)} x^{m p + m + 1}}"," ",0,"(b*x*x^(m*p + m + 1) + a*x*x^m)*(b*x^(m*p + m + 1) + a*x^m)^p/((b*m*p^2 + (b*m + b)*p + b)*x^(m*p + m + 1))","A",0
445,1,61,0,0.410195," ","integrate((x^m*(a+b*x^(m*p+1)))^p,x, algorithm=""fricas"")","\frac{{\left(b x x^{m p + 1} + a x\right)} {\left(b x^{m p + 1} x^{m} + a x^{m}\right)}^{p}}{{\left(b m p^{2} + {\left(b m + b\right)} p + b\right)} x^{m p + 1}}"," ",0,"(b*x*x^(m*p + 1) + a*x)*(b*x^(m*p + 1)*x^m + a*x^m)^p/((b*m*p^2 + (b*m + b)*p + b)*x^(m*p + 1))","A",0
446,1,76,0,0.426205," ","integrate(x^n*(x^m*(a+b*x^(m*p+n+1)))^p,x, algorithm=""fricas"")","\frac{{\left(b x x^{m p + n + 1} x^{n} + a x x^{n}\right)} {\left(b x^{m p + n + 1} x^{m} + a x^{m}\right)}^{p}}{{\left(b m p^{2} + b n + {\left(b m + b n + b\right)} p + b\right)} x^{m p + n + 1}}"," ",0,"(b*x*x^(m*p + n + 1)*x^n + a*x*x^n)*(b*x^(m*p + n + 1)*x^m + a*x^m)^p/((b*m*p^2 + b*n + (b*m + b*n + b)*p + b)*x^(m*p + n + 1))","A",0
447,1,79,0,0.432461," ","integrate(x^n*(a*x^m+b*x^(m*p+m+n+1))^p,x, algorithm=""fricas"")","\frac{{\left(b x x^{m p + m + n + 1} x^{n} + a x x^{m} x^{n}\right)} {\left(b x^{m p + m + n + 1} + a x^{m}\right)}^{p}}{{\left(b m p^{2} + b n + {\left(b m + b n + b\right)} p + b\right)} x^{m p + m + n + 1}}"," ",0,"(b*x*x^(m*p + m + n + 1)*x^n + a*x*x^m*x^n)*(b*x^(m*p + m + n + 1) + a*x^m)^p/((b*m*p^2 + b*n + (b*m + b*n + b)*p + b)*x^(m*p + m + n + 1))","A",0
448,1,44,0,0.411793," ","integrate((x^(-2+2*n)*(a+b*x^n))^(1/2),x, algorithm=""fricas"")","\frac{2 \, {\left(b x x^{n} + a x\right)} \sqrt{\frac{b x^{3 \, n} + a x^{2 \, n}}{x^{2}}}}{3 \, b n x^{n}}"," ",0,"2/3*(b*x*x^n + a*x)*sqrt((b*x^(3*n) + a*x^(2*n))/x^2)/(b*n*x^n)","A",0
449,1,44,0,0.404860," ","integrate((x^(-3+3*n)*(a+b*x^n))^(1/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b x x^{n} + a x\right)} \left(\frac{b x^{4 \, n} + a x^{3 \, n}}{x^{3}}\right)^{\frac{1}{3}}}{4 \, b n x^{n}}"," ",0,"3/4*(b*x*x^n + a*x)*((b*x^(4*n) + a*x^(3*n))/x^3)^(1/3)/(b*n*x^n)","A",0
450,1,44,0,0.414709," ","integrate((x^(-4+4*n)*(a+b*x^n))^(1/4),x, algorithm=""fricas"")","\frac{4 \, {\left(b x x^{n} + a x\right)} \left(\frac{b x^{5 \, n} + a x^{4 \, n}}{x^{4}}\right)^{\frac{1}{4}}}{5 \, b n x^{n}}"," ",0,"4/5*(b*x*x^n + a*x)*((b*x^(5*n) + a*x^(4*n))/x^4)^(1/4)/(b*n*x^n)","A",0
451,1,47,0,0.423913," ","integrate((x^((-1+n)*p)*(a+b*x^n))^(1/p),x, algorithm=""fricas"")","\frac{{\left(b p x x^{n} + a p x\right)} \left({\left(b x^{n} + a\right)} x^{{\left(n - 1\right)} p}\right)^{\left(\frac{1}{p}\right)}}{{\left(b n p + b n\right)} x^{n}}"," ",0,"(b*p*x*x^n + a*p*x)*((b*x^n + a)*x^((n - 1)*p))^(1/p)/((b*n*p + b*n)*x^n)","A",0
452,1,54,0,0.434218," ","integrate((x^((-1+n)/p)*(a+b*x^n))^p,x, algorithm=""fricas"")","\frac{{\left(b x x^{n} + a x\right)} {\left(b x^{n} x^{\frac{n - 1}{p}} + a x^{\frac{n - 1}{p}}\right)}^{p}}{{\left(b n p + b n\right)} x^{n}}"," ",0,"(b*x*x^n + a*x)*(b*x^n*x^((n - 1)/p) + a*x^((n - 1)/p))^p/((b*n*p + b*n)*x^n)","A",0
453,1,76,0,0.444972," ","integrate(x^(-1+n-p*(1+q))*(a*x^n+b*x^p)^q,x, algorithm=""fricas"")","\frac{{\left(a x x^{-p q + n - p - 1} x^{n} + b x x^{-p q + n - p - 1} x^{p}\right)} {\left(a x^{n} + b x^{p}\right)}^{q}}{{\left(a n - a p + {\left(a n - a p\right)} q\right)} x^{n}}"," ",0,"(a*x*x^(-p*q + n - p - 1)*x^n + b*x*x^(-p*q + n - p - 1)*x^p)*(a*x^n + b*x^p)^q/((a*n - a*p + (a*n - a*p)*q)*x^n)","A",0
454,1,64,0,0.411696," ","integrate(x^(-1-n*q-p*(1+q))*(x^n*(a+b*x^p))^q,x, algorithm=""fricas"")","-\frac{{\left(b x x^{-{\left(n + p\right)} q - p - 1} x^{p} + a x x^{-{\left(n + p\right)} q - p - 1}\right)} {\left(b x^{n} x^{p} + a x^{n}\right)}^{q}}{a p q + a p}"," ",0,"-(b*x*x^(-(n + p)*q - p - 1)*x^p + a*x*x^(-(n + p)*q - p - 1))*(b*x^n*x^p + a*x^n)^q/(a*p*q + a*p)","A",0
