1,1,24,0,1.407466," ","integrate((b*x)^p*(c*x)^m,x, algorithm=""maxima"")","\frac{b^{p} c^{m} x e^{\left(m \log\left(x\right) + p \log\left(x\right)\right)}}{m + p + 1}"," ",0,"b^p*c^m*x*e^(m*log(x) + p*log(x))/(m + p + 1)","A",0
2,1,15,0,1.290279," ","integrate(x^3*(b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(b x^{2}\right)^{\frac{3}{2}} x^{2}}{5 \, b}"," ",0,"1/5*(b*x^2)^(3/2)*x^2/b","A",0
3,1,13,0,1.320938," ","integrate(x^2*(b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(b x^{2}\right)^{\frac{3}{2}} x}{4 \, b}"," ",0,"1/4*(b*x^2)^(3/2)*x/b","A",0
4,1,12,0,1.310003," ","integrate(x*(b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(b x^{2}\right)^{\frac{3}{2}}}{3 \, b}"," ",0,"1/3*(b*x^2)^(3/2)/b","A",0
5,1,10,0,1.253645," ","integrate((b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{b x^{2}} x"," ",0,"1/2*sqrt(b*x^2)*x","A",0
6,-2,0,0,0.000000," ","integrate((b*x^2)^(1/2)/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
7,-2,0,0,0.000000," ","integrate((b*x^2)^(1/2)/x^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
8,-2,0,0,0.000000," ","integrate((b*x^2)^(1/2)/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
9,-2,0,0,0.000000," ","integrate((b*x^2)^(1/2)/x^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
10,-2,0,0,0.000000," ","integrate((b*x^2)^(1/2)/x^5,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
11,1,8,0,1.344016," ","integrate(x^2*(x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(x^{2}\right)}^{\frac{3}{2}} x"," ",0,"1/4*(x^2)^(3/2)*x","A",0
12,1,13,0,1.356709," ","integrate(x^2*(b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{\left(b x^{2}\right)^{\frac{5}{2}} x}{6 \, b}"," ",0,"1/6*(b*x^2)^(5/2)*x/b","A",0
13,1,12,0,1.326451," ","integrate(x*(b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{\left(b x^{2}\right)^{\frac{5}{2}}}{5 \, b}"," ",0,"1/5*(b*x^2)^(5/2)/b","A",0
14,1,10,0,1.281922," ","integrate((b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, \left(b x^{2}\right)^{\frac{3}{2}} x"," ",0,"1/4*(b*x^2)^(3/2)*x","A",0
15,1,9,0,1.283714," ","integrate((b*x^2)^(3/2)/x,x, algorithm=""maxima"")","\frac{1}{3} \, \left(b x^{2}\right)^{\frac{3}{2}}"," ",0,"1/3*(b*x^2)^(3/2)","A",0
16,-2,0,0,0.000000," ","integrate((b*x^2)^(3/2)/x^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
17,-2,0,0,0.000000," ","integrate((b*x^2)^(3/2)/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
18,-2,0,0,0.000000," ","integrate((b*x^2)^(3/2)/x^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
19,-2,0,0,0.000000," ","integrate((b*x^2)^(3/2)/x^5,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
20,-2,0,0,0.000000," ","integrate((b*x^2)^(3/2)/x^6,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
21,-2,0,0,0.000000," ","integrate((b*x^2)^(3/2)/x^7,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
22,1,8,0,1.262721," ","integrate((x^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(x^{2}\right)}^{\frac{5}{2}} x"," ",0,"1/6*(x^2)^(5/2)*x","A",0
23,1,12,0,1.328163," ","integrate(x*(b*x^2)^(5/2),x, algorithm=""maxima"")","\frac{\left(b x^{2}\right)^{\frac{7}{2}}}{7 \, b}"," ",0,"1/7*(b*x^2)^(7/2)/b","A",0
24,1,10,0,1.339538," ","integrate((b*x^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, \left(b x^{2}\right)^{\frac{5}{2}} x"," ",0,"1/6*(b*x^2)^(5/2)*x","A",0
25,1,9,0,1.333452," ","integrate((b*x^2)^(5/2)/x,x, algorithm=""maxima"")","\frac{1}{5} \, \left(b x^{2}\right)^{\frac{5}{2}}"," ",0,"1/5*(b*x^2)^(5/2)","A",0
26,1,12,0,1.311573," ","integrate((b*x^2)^(5/2)/x^2,x, algorithm=""maxima"")","\frac{\left(b x^{2}\right)^{\frac{5}{2}}}{4 \, x}"," ",0,"1/4*(b*x^2)^(5/2)/x","A",0
27,-2,0,0,0.000000," ","integrate((b*x^2)^(5/2)/x^3,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
28,-2,0,0,0.000000," ","integrate((b*x^2)^(5/2)/x^4,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
29,-2,0,0,0.000000," ","integrate((b*x^2)^(5/2)/x^5,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
30,-2,0,0,0.000000," ","integrate((b*x^2)^(5/2)/x^6,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
31,-2,0,0,0.000000," ","integrate((b*x^2)^(5/2)/x^7,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
32,-2,0,0,0.000000," ","integrate((b*x^2)^(5/2)/x^8,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
33,-2,0,0,0.000000," ","integrate((b*x^2)^(5/2)/x^9,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
34,1,8,0,1.295877," ","integrate((x^2)^(7/2),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(x^{2}\right)}^{\frac{7}{2}} x"," ",0,"1/8*(x^2)^(7/2)*x","A",0
35,1,15,0,1.347565," ","integrate(x^3/(b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b x^{2}} x^{2}}{3 \, b}"," ",0,"1/3*sqrt(b*x^2)*x^2/b","A",0
36,1,11,0,1.336355," ","integrate(x/(b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b x^{2}}}{b}"," ",0,"sqrt(b*x^2)/b","A",0
37,1,8,0,1.368062," ","integrate(1/x/(b*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{\sqrt{b} x}"," ",0,"-1/(sqrt(b)*x)","A",0
38,1,8,0,1.333923," ","integrate(1/x^3/(b*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3 \, \sqrt{b} x^{3}}"," ",0,"-1/3/(sqrt(b)*x^3)","A",0
39,1,8,0,1.339394," ","integrate(x^2/(b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, \sqrt{b}}"," ",0,"1/2*x^2/sqrt(b)","A",0
40,1,6,0,1.323575," ","integrate(1/(b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(x\right)}{\sqrt{b}}"," ",0,"log(x)/sqrt(b)","A",0
41,1,8,0,1.328981," ","integrate(1/x^2/(b*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2 \, \sqrt{b} x^{2}}"," ",0,"-1/2/(sqrt(b)*x^2)","A",0
42,1,15,0,1.298642," ","integrate(x^5/(b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{x^{4}}{3 \, \sqrt{b x^{2}} b}"," ",0,"1/3*x^4/(sqrt(b*x^2)*b)","A",0
43,1,14,0,1.301256," ","integrate(x^3/(b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{x^{2}}{\sqrt{b x^{2}} b}"," ",0,"x^2/(sqrt(b*x^2)*b)","A",0
44,1,12,0,1.326634," ","integrate(x/(b*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{\sqrt{b x^{2}} b}"," ",0,"-1/(sqrt(b*x^2)*b)","A",0
45,1,8,0,1.274991," ","integrate(1/x/(b*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{3 \, b^{\frac{3}{2}} x^{3}}"," ",0,"-1/3/(b^(3/2)*x^3)","A",0
46,1,8,0,1.346625," ","integrate(1/x^3/(b*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{5 \, b^{\frac{3}{2}} x^{5}}"," ",0,"-1/5/(b^(3/2)*x^5)","A",0
47,1,15,0,1.341420," ","integrate(x^6/(b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{x^{5}}{4 \, \sqrt{b x^{2}} b}"," ",0,"1/4*x^5/(sqrt(b*x^2)*b)","A",0
48,1,15,0,1.295566," ","integrate(x^4/(b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{x^{3}}{2 \, \sqrt{b x^{2}} b}"," ",0,"1/2*x^3/(sqrt(b*x^2)*b)","A",0
49,1,6,0,1.324102," ","integrate(x^2/(b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{\log\left(x\right)}{b^{\frac{3}{2}}}"," ",0,"log(x)/b^(3/2)","A",0
50,1,8,0,1.386731," ","integrate(1/(b*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{2 \, b^{\frac{3}{2}} x^{2}}"," ",0,"-1/2/(b^(3/2)*x^2)","A",0
51,1,8,0,1.286602," ","integrate(1/x^2/(b*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{4 \, b^{\frac{3}{2}} x^{4}}"," ",0,"-1/4/(b^(3/2)*x^4)","A",0
52,1,15,0,1.359602," ","integrate(x^7/(b*x^2)^(5/2),x, algorithm=""maxima"")","\frac{x^{6}}{3 \, \left(b x^{2}\right)^{\frac{3}{2}} b}"," ",0,"1/3*x^6/((b*x^2)^(3/2)*b)","A",0
53,1,14,0,1.290466," ","integrate(x^5/(b*x^2)^(5/2),x, algorithm=""maxima"")","\frac{x^{4}}{\left(b x^{2}\right)^{\frac{3}{2}} b}"," ",0,"x^4/((b*x^2)^(3/2)*b)","A",0
54,1,15,0,1.333859," ","integrate(x^3/(b*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{x^{2}}{\left(b x^{2}\right)^{\frac{3}{2}} b}"," ",0,"-x^2/((b*x^2)^(3/2)*b)","A",0
55,1,12,0,1.354234," ","integrate(x/(b*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{3 \, \left(b x^{2}\right)^{\frac{3}{2}} b}"," ",0,"-1/3/((b*x^2)^(3/2)*b)","A",0
56,1,8,0,1.357104," ","integrate(1/x/(b*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{5 \, b^{\frac{5}{2}} x^{5}}"," ",0,"-1/5/(b^(5/2)*x^5)","A",0
57,1,15,0,1.289359," ","integrate(x^6/(b*x^2)^(5/2),x, algorithm=""maxima"")","\frac{x^{5}}{2 \, \left(b x^{2}\right)^{\frac{3}{2}} b}"," ",0,"1/2*x^5/((b*x^2)^(3/2)*b)","A",0
58,1,6,0,1.343590," ","integrate(x^4/(b*x^2)^(5/2),x, algorithm=""maxima"")","\frac{\log\left(x\right)}{b^{\frac{5}{2}}}"," ",0,"log(x)/b^(5/2)","A",0
59,1,8,0,1.281992," ","integrate(x^2/(b*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{2 \, b^{\frac{5}{2}} x^{2}}"," ",0,"-1/2/(b^(5/2)*x^2)","A",0
60,1,8,0,1.303813," ","integrate(1/(b*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{4 \, b^{\frac{5}{2}} x^{4}}"," ",0,"-1/4/(b^(5/2)*x^4)","A",0
61,1,8,0,1.319914," ","integrate(1/x^2/(b*x^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{6 \, b^{\frac{5}{2}} x^{6}}"," ",0,"-1/6/(b^(5/2)*x^6)","A",0
62,1,18,0,1.391648," ","integrate((c*x)^m*(b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{b^{\frac{3}{2}} c^{m} x^{4} x^{m}}{m + 4}"," ",0,"b^(3/2)*c^m*x^4*x^m/(m + 4)","A",0
63,1,18,0,1.431378," ","integrate((c*x)^m*(b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b} c^{m} x^{2} x^{m}}{m + 2}"," ",0,"sqrt(b)*c^m*x^2*x^m/(m + 2)","A",0
64,1,13,0,1.416255," ","integrate((c*x)^m/(b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{c^{m} x^{m}}{\sqrt{b} m}"," ",0,"c^m*x^m/(sqrt(b)*m)","A",0
65,1,18,0,1.417173," ","integrate((c*x)^m/(b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{c^{m} x^{m}}{b^{\frac{3}{2}} {\left(m - 2\right)} x^{2}}"," ",0,"c^m*x^m/(b^(3/2)*(m - 2)*x^2)","A",0
66,1,24,0,1.328687," ","integrate(x^m*(b*x^2)^p,x, algorithm=""maxima"")","\frac{b^{p} x e^{\left(m \log\left(x\right) + 2 \, p \log\left(x\right)\right)}}{m + 2 \, p + 1}"," ",0,"b^p*x*e^(m*log(x) + 2*p*log(x))/(m + 2*p + 1)","A",0
67,1,27,0,1.371893," ","integrate((c*x)^m*(b*x^2)^p,x, algorithm=""maxima"")","\frac{b^{p} c^{m} x e^{\left(m \log\left(x\right) + 2 \, p \log\left(x\right)\right)}}{m + 2 \, p + 1}"," ",0,"b^p*c^m*x*e^(m*log(x) + 2*p*log(x))/(m + 2*p + 1)","A",0
68,1,2,0,1.284176," ","integrate(x^(-1-2*p)*(x^2)^p,x, algorithm=""maxima"")","\log\left(x\right)"," ",0,"log(x)","A",0
69,1,18,0,1.368219," ","integrate(x^3*(b*x^2)^p,x, algorithm=""maxima"")","\frac{b^{p} {\left(x^{2}\right)}^{p} x^{4}}{2 \, {\left(p + 2\right)}}"," ",0,"1/2*b^p*(x^2)^p*x^4/(p + 2)","A",0
70,1,19,0,1.363730," ","integrate(x^2*(b*x^2)^p,x, algorithm=""maxima"")","\frac{b^{p} x^{3} x^{2 \, p}}{2 \, p + 3}"," ",0,"b^p*x^3*x^(2*p)/(2*p + 3)","A",0
71,1,19,0,1.323218," ","integrate(x*(b*x^2)^p,x, algorithm=""maxima"")","\frac{\left(b x^{2}\right)^{p + 1}}{2 \, b {\left(p + 1\right)}}"," ",0,"1/2*(b*x^2)^(p + 1)/(b*(p + 1))","A",0
72,1,17,0,1.339903," ","integrate((b*x^2)^p,x, algorithm=""maxima"")","\frac{b^{p} x x^{2 \, p}}{2 \, p + 1}"," ",0,"b^p*x*x^(2*p)/(2*p + 1)","A",0
73,1,13,0,1.312367," ","integrate((b*x^2)^p/x,x, algorithm=""maxima"")","\frac{b^{p} {\left(x^{2}\right)}^{p}}{2 \, p}"," ",0,"1/2*b^p*(x^2)^p/p","A",0
74,1,19,0,1.363638," ","integrate((b*x^2)^p/x^2,x, algorithm=""maxima"")","\frac{b^{p} x^{2 \, p}}{{\left(2 \, p - 1\right)} x}"," ",0,"b^p*x^(2*p)/((2*p - 1)*x)","A",0
75,1,18,0,1.362310," ","integrate((b*x^2)^p/x^3,x, algorithm=""maxima"")","\frac{b^{p} {\left(x^{2}\right)}^{p}}{2 \, {\left(p - 1\right)} x^{2}}"," ",0,"1/2*b^p*(x^2)^p/((p - 1)*x^2)","A",0
76,1,19,0,1.332572," ","integrate((b*x^2)^p/x^4,x, algorithm=""maxima"")","\frac{b^{p} x^{2 \, p}}{{\left(2 \, p - 3\right)} x^{3}}"," ",0,"b^p*x^(2*p)/((2*p - 3)*x^3)","A",0
77,1,10,0,1.342859," ","integrate((b*x^3)^(1/2),x, algorithm=""maxima"")","\frac{2}{5} \, \sqrt{b x^{3}} x"," ",0,"2/5*sqrt(b*x^3)*x","A",0
78,1,10,0,1.321103," ","integrate((b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{b x^{2}} x"," ",0,"1/2*sqrt(b*x^2)*x","A",0
79,1,10,0,1.298877," ","integrate((b*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \left(b x\right)^{\frac{3}{2}}}{3 \, b}"," ",0,"2/3*(b*x)^(3/2)/b","A",0
80,1,10,0,1.281170," ","integrate((b/x)^(1/2),x, algorithm=""maxima"")","2 \, x \sqrt{\frac{b}{x}}"," ",0,"2*x*sqrt(b/x)","A",0
81,1,11,0,1.327462," ","integrate((b/x^2)^(1/2),x, algorithm=""maxima"")","x \sqrt{\frac{b}{x^{2}}} \log\left(x\right)"," ",0,"x*sqrt(b/x^2)*log(x)","A",0
82,1,10,0,1.280659," ","integrate((b/x^3)^(1/2),x, algorithm=""maxima"")","-2 \, x \sqrt{\frac{b}{x^{3}}}"," ",0,"-2*x*sqrt(b/x^3)","A",0
83,1,10,0,1.291497," ","integrate((b*x^3)^(3/2),x, algorithm=""maxima"")","\frac{2}{11} \, \left(b x^{3}\right)^{\frac{3}{2}} x"," ",0,"2/11*(b*x^3)^(3/2)*x","A",0
84,1,10,0,1.308716," ","integrate((b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, \left(b x^{2}\right)^{\frac{3}{2}} x"," ",0,"1/4*(b*x^2)^(3/2)*x","A",0
85,1,10,0,1.312703," ","integrate((b*x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, \left(b x\right)^{\frac{5}{2}}}{5 \, b}"," ",0,"2/5*(b*x)^(5/2)/b","A",0
86,1,10,0,1.319741," ","integrate((b/x)^(3/2),x, algorithm=""maxima"")","-2 \, x \left(\frac{b}{x}\right)^{\frac{3}{2}}"," ",0,"-2*x*(b/x)^(3/2)","A",0
87,1,10,0,1.302366," ","integrate((b/x^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{2} \, x \left(\frac{b}{x^{2}}\right)^{\frac{3}{2}}"," ",0,"-1/2*x*(b/x^2)^(3/2)","A",0
88,1,10,0,1.344100," ","integrate((b/x^3)^(3/2),x, algorithm=""maxima"")","-\frac{2}{7} \, x \left(\frac{b}{x^{3}}\right)^{\frac{3}{2}}"," ",0,"-2/7*x*(b/x^3)^(3/2)","A",0
89,1,10,0,1.316561," ","integrate(1/(b*x^3)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, x}{\sqrt{b x^{3}}}"," ",0,"-2*x/sqrt(b*x^3)","A",0
90,1,6,0,1.305407," ","integrate(1/(b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(x\right)}{\sqrt{b}}"," ",0,"log(x)/sqrt(b)","A",0
91,1,10,0,1.310914," ","integrate(1/(b*x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x}}{b}"," ",0,"2*sqrt(b*x)/b","A",0
92,1,10,0,1.329141," ","integrate(1/(b/x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, x}{3 \, \sqrt{\frac{b}{x}}}"," ",0,"2/3*x/sqrt(b/x)","A",0
93,1,10,0,1.295284," ","integrate(1/(b/x^2)^(1/2),x, algorithm=""maxima"")","\frac{x}{2 \, \sqrt{\frac{b}{x^{2}}}}"," ",0,"1/2*x/sqrt(b/x^2)","A",0
94,1,10,0,1.259547," ","integrate(1/(b/x^3)^(1/2),x, algorithm=""maxima"")","\frac{2 \, x}{5 \, \sqrt{\frac{b}{x^{3}}}}"," ",0,"2/5*x/sqrt(b/x^3)","A",0
95,1,10,0,1.321117," ","integrate(1/(b*x^3)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, x}{7 \, \left(b x^{3}\right)^{\frac{3}{2}}}"," ",0,"-2/7*x/(b*x^3)^(3/2)","A",0
96,1,8,0,1.223794," ","integrate(1/(b*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{2 \, b^{\frac{3}{2}} x^{2}}"," ",0,"-1/2/(b^(3/2)*x^2)","A",0
97,1,10,0,1.304618," ","integrate(1/(b*x)^(3/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{b x} b}"," ",0,"-2/(sqrt(b*x)*b)","A",0
98,1,10,0,1.323733," ","integrate(1/(b/x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, x}{5 \, \left(\frac{b}{x}\right)^{\frac{3}{2}}}"," ",0,"2/5*x/(b/x)^(3/2)","A",0
99,1,10,0,1.316147," ","integrate(1/(b/x^2)^(3/2),x, algorithm=""maxima"")","\frac{x}{4 \, \left(\frac{b}{x^{2}}\right)^{\frac{3}{2}}}"," ",0,"1/4*x/(b/x^2)^(3/2)","A",0
100,1,10,0,1.275777," ","integrate(1/(b/x^3)^(3/2),x, algorithm=""maxima"")","\frac{2 \, x}{11 \, \left(\frac{b}{x^{3}}\right)^{\frac{3}{2}}}"," ",0,"2/11*x/(b/x^3)^(3/2)","A",0
101,1,15,0,1.329979," ","integrate((b*x^n)^(1/3),x, algorithm=""maxima"")","\frac{3 \, \left(b x^{n}\right)^{\frac{1}{3}} x}{n + 3}"," ",0,"3*(b*x^n)^(1/3)*x/(n + 3)","A",0
102,1,10,0,1.312843," ","integrate((b*x^3)^(1/3),x, algorithm=""maxima"")","\frac{1}{2} \, \left(b x^{3}\right)^{\frac{1}{3}} x"," ",0,"1/2*(b*x^3)^(1/3)*x","A",0
103,1,10,0,1.325570," ","integrate((b*x^2)^(1/3),x, algorithm=""maxima"")","\frac{3}{5} \, \left(b x^{2}\right)^{\frac{1}{3}} x"," ",0,"3/5*(b*x^2)^(1/3)*x","A",0
104,1,10,0,1.319646," ","integrate((b*x)^(1/3),x, algorithm=""maxima"")","\frac{3 \, \left(b x\right)^{\frac{4}{3}}}{4 \, b}"," ",0,"3/4*(b*x)^(4/3)/b","A",0
105,1,10,0,1.301016," ","integrate((b/x)^(1/3),x, algorithm=""maxima"")","\frac{3}{2} \, x \left(\frac{b}{x}\right)^{\frac{1}{3}}"," ",0,"3/2*x*(b/x)^(1/3)","A",0
106,1,10,0,1.243715," ","integrate((b/x^2)^(1/3),x, algorithm=""maxima"")","3 \, x \left(\frac{b}{x^{2}}\right)^{\frac{1}{3}}"," ",0,"3*x*(b/x^2)^(1/3)","A",0
107,1,11,0,1.294103," ","integrate((b/x^3)^(1/3),x, algorithm=""maxima"")","x \left(\frac{b}{x^{3}}\right)^{\frac{1}{3}} \log\left(x\right)"," ",0,"x*(b/x^3)^(1/3)*log(x)","A",0
108,1,10,0,1.320715," ","integrate((b/x^4)^(1/3),x, algorithm=""maxima"")","-3 \, x \left(\frac{b}{x^{4}}\right)^{\frac{1}{3}}"," ",0,"-3*x*(b/x^4)^(1/3)","A",0
109,1,17,0,1.338716," ","integrate((b*x^n)^(2/3),x, algorithm=""maxima"")","\frac{3 \, \left(b x^{n}\right)^{\frac{2}{3}} x}{2 \, n + 3}"," ",0,"3*(b*x^n)^(2/3)*x/(2*n + 3)","A",0
110,1,10,0,1.329259," ","integrate((b*x^2)^(2/3),x, algorithm=""maxima"")","\frac{3}{7} \, \left(b x^{2}\right)^{\frac{2}{3}} x"," ",0,"3/7*(b*x^2)^(2/3)*x","A",0
111,1,10,0,1.315332," ","integrate((b*x)^(2/3),x, algorithm=""maxima"")","\frac{3 \, \left(b x\right)^{\frac{5}{3}}}{5 \, b}"," ",0,"3/5*(b*x)^(5/3)/b","A",0
112,1,10,0,1.352307," ","integrate((b/x)^(2/3),x, algorithm=""maxima"")","3 \, x \left(\frac{b}{x}\right)^{\frac{2}{3}}"," ",0,"3*x*(b/x)^(2/3)","A",0
113,1,10,0,1.361101," ","integrate((b/x^2)^(2/3),x, algorithm=""maxima"")","-3 \, x \left(\frac{b}{x^{2}}\right)^{\frac{2}{3}}"," ",0,"-3*x*(b/x^2)^(2/3)","A",0
114,1,10,0,1.307994," ","integrate((b/x^3)^(2/3),x, algorithm=""maxima"")","-x \left(\frac{b}{x^{3}}\right)^{\frac{2}{3}}"," ",0,"-x*(b/x^3)^(2/3)","A",0
115,1,10,0,1.286808," ","integrate((b/x^4)^(2/3),x, algorithm=""maxima"")","-\frac{3}{5} \, x \left(\frac{b}{x^{4}}\right)^{\frac{2}{3}}"," ",0,"-3/5*x*(b/x^4)^(2/3)","A",0
116,-2,0,0,0.000000," ","integrate(1/(b*x^n)^(1/3),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(-n/3>0)', see `assume?` for more details)Is -n/3 equal to -1?","F(-2)",0
117,1,10,0,1.285310," ","integrate(1/(b*x^4)^(1/3),x, algorithm=""maxima"")","-\frac{3 \, x}{\left(b x^{4}\right)^{\frac{1}{3}}}"," ",0,"-3*x/(b*x^4)^(1/3)","A",0
118,1,11,0,1.329442," ","integrate(1/(b*x^3)^(1/3),x, algorithm=""maxima"")","\frac{x \log\left(x\right)}{\left(b x^{3}\right)^{\frac{1}{3}}}"," ",0,"x*log(x)/(b*x^3)^(1/3)","A",0
119,1,10,0,1.326512," ","integrate(1/(b*x^2)^(1/3),x, algorithm=""maxima"")","\frac{3 \, x}{\left(b x^{2}\right)^{\frac{1}{3}}}"," ",0,"3*x/(b*x^2)^(1/3)","A",0
120,1,10,0,1.290042," ","integrate(1/(b*x)^(1/3),x, algorithm=""maxima"")","\frac{3 \, \left(b x\right)^{\frac{2}{3}}}{2 \, b}"," ",0,"3/2*(b*x)^(2/3)/b","A",0
121,1,10,0,1.325489," ","integrate(1/(b/x)^(1/3),x, algorithm=""maxima"")","\frac{3 \, x}{4 \, \left(\frac{b}{x}\right)^{\frac{1}{3}}}"," ",0,"3/4*x/(b/x)^(1/3)","A",0
122,1,10,0,1.377124," ","integrate(1/(b/x^2)^(1/3),x, algorithm=""maxima"")","\frac{3 \, x}{5 \, \left(\frac{b}{x^{2}}\right)^{\frac{1}{3}}}"," ",0,"3/5*x/(b/x^2)^(1/3)","A",0
123,1,10,0,1.309165," ","integrate(1/(b/x^3)^(1/3),x, algorithm=""maxima"")","\frac{x}{2 \, \left(\frac{b}{x^{3}}\right)^{\frac{1}{3}}}"," ",0,"1/2*x/(b/x^3)^(1/3)","A",0
124,-2,0,0,0.000000," ","integrate(1/(b*x^n)^(2/3),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(-(2*n)/3>0)', see `assume?` for more details)Is -(2*n)/3 equal to -1?","F(-2)",0
125,1,10,0,1.291530," ","integrate(1/(b*x^3)^(2/3),x, algorithm=""maxima"")","-\frac{x}{\left(b x^{3}\right)^{\frac{2}{3}}}"," ",0,"-x/(b*x^3)^(2/3)","A",0
126,1,10,0,1.338650," ","integrate(1/(b*x^2)^(2/3),x, algorithm=""maxima"")","-\frac{3 \, x}{\left(b x^{2}\right)^{\frac{2}{3}}}"," ",0,"-3*x/(b*x^2)^(2/3)","A",0
127,1,10,0,1.301284," ","integrate(1/(b*x)^(2/3),x, algorithm=""maxima"")","\frac{3 \, \left(b x\right)^{\frac{1}{3}}}{b}"," ",0,"3*(b*x)^(1/3)/b","A",0
128,1,10,0,1.285757," ","integrate(1/(b/x)^(2/3),x, algorithm=""maxima"")","\frac{3 \, x}{5 \, \left(\frac{b}{x}\right)^{\frac{2}{3}}}"," ",0,"3/5*x/(b/x)^(2/3)","A",0
129,1,10,0,1.306382," ","integrate(1/(b/x^2)^(2/3),x, algorithm=""maxima"")","\frac{3 \, x}{7 \, \left(\frac{b}{x^{2}}\right)^{\frac{2}{3}}}"," ",0,"3/7*x/(b/x^2)^(2/3)","A",0
130,1,10,0,1.320756," ","integrate(1/(b/x^3)^(2/3),x, algorithm=""maxima"")","\frac{x}{3 \, \left(\frac{b}{x^{3}}\right)^{\frac{2}{3}}}"," ",0,"1/3*x/(b/x^3)^(2/3)","A",0
131,1,17,0,1.243738," ","integrate(x^2*(b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x^{n}} x^{3}}{n + 6}"," ",0,"2*sqrt(b*x^n)*x^3/(n + 6)","A",0
132,1,17,0,1.279335," ","integrate(x*(b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x^{n}} x^{2}}{n + 4}"," ",0,"2*sqrt(b*x^n)*x^2/(n + 4)","A",0
133,1,15,0,1.305281," ","integrate((b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x^{n}} x}{n + 2}"," ",0,"2*sqrt(b*x^n)*x/(n + 2)","A",0
134,1,12,0,1.321182," ","integrate((b*x^n)^(1/2)/x,x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x^{n}}}{n}"," ",0,"2*sqrt(b*x^n)/n","A",0
135,-2,0,0,0.000000," ","integrate((b*x^n)^(1/2)/x^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(n/2-2>0)', see `assume?` for more details)Is n/2-2 equal to -1?","F(-2)",0
136,-2,0,0,0.000000," ","integrate((b*x^n)^(1/2)/x^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(n/2-3>0)', see `assume?` for more details)Is n/2-3 equal to -1?","F(-2)",0
137,1,19,0,1.309068," ","integrate(x*(b*x^n)^(3/2),x, algorithm=""maxima"")","\frac{2 \, \left(b x^{n}\right)^{\frac{3}{2}} x^{2}}{3 \, n + 4}"," ",0,"2*(b*x^n)^(3/2)*x^2/(3*n + 4)","A",0
138,1,17,0,1.368774," ","integrate((b*x^n)^(3/2),x, algorithm=""maxima"")","\frac{2 \, \left(b x^{n}\right)^{\frac{3}{2}} x}{3 \, n + 2}"," ",0,"2*(b*x^n)^(3/2)*x/(3*n + 2)","A",0
139,1,12,0,1.323952," ","integrate((b*x^n)^(3/2)/x,x, algorithm=""maxima"")","\frac{2 \, \left(b x^{n}\right)^{\frac{3}{2}}}{3 \, n}"," ",0,"2/3*(b*x^n)^(3/2)/n","A",0
140,-2,0,0,0.000000," ","integrate((b*x^n)^(3/2)/x^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((3*n)/2-2>0)', see `assume?` for more details)Is (3*n)/2-2 equal to -1?","F(-2)",0
141,-2,0,0,0.000000," ","integrate((b*x^n)^(3/2)/x^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((3*n)/2-3>0)', see `assume?` for more details)Is (3*n)/2-3 equal to -1?","F(-2)",0
142,-2,0,0,0.000000," ","integrate((b*x^n)^(3/2)/x^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((3*n)/2-4>0)', see `assume?` for more details)Is (3*n)/2-4 equal to -1?","F(-2)",0
143,-2,0,0,0.000000," ","integrate(x^2/(b*x^n)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(2-n/2>0)', see `assume?` for more details)Is 2-n/2 equal to -1?","F(-2)",0
144,-2,0,0,0.000000," ","integrate(x/(b*x^n)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(1-n/2>0)', see `assume?` for more details)Is 1-n/2 equal to -1?","F(-2)",0
145,-2,0,0,0.000000," ","integrate(1/(b*x^n)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(-n/2>0)', see `assume?` for more details)Is -n/2 equal to -1?","F(-2)",0
146,1,12,0,1.288092," ","integrate(1/x/(b*x^n)^(1/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{b x^{n}} n}"," ",0,"-2/(sqrt(b*x^n)*n)","A",0
147,1,17,0,1.331518," ","integrate(1/x^2/(b*x^n)^(1/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{b x^{n}} {\left(n + 2\right)} x}"," ",0,"-2/(sqrt(b*x^n)*(n + 2)*x)","A",0
148,1,17,0,1.307961," ","integrate(1/x^3/(b*x^n)^(1/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{b x^{n}} {\left(n + 4\right)} x^{2}}"," ",0,"-2/(sqrt(b*x^n)*(n + 4)*x^2)","A",0
149,-2,0,0,0.000000," ","integrate(x^2/(b*x^n)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(2-(3*n)/2>0)', see `assume?` for more details)Is 2-(3*n)/2 equal to -1?","F(-2)",0
150,-2,0,0,0.000000," ","integrate(x/(b*x^n)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(1-(3*n)/2>0)', see `assume?` for more details)Is 1-(3*n)/2 equal to -1?","F(-2)",0
151,-2,0,0,0.000000," ","integrate(1/(b*x^n)^(3/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(-(3*n)/2>0)', see `assume?` for more details)Is -(3*n)/2 equal to -1?","F(-2)",0
152,1,12,0,1.333392," ","integrate(1/x/(b*x^n)^(3/2),x, algorithm=""maxima"")","-\frac{2}{3 \, \left(b x^{n}\right)^{\frac{3}{2}} n}"," ",0,"-2/3/((b*x^n)^(3/2)*n)","A",0
153,1,19,0,1.336345," ","integrate(1/x^2/(b*x^n)^(3/2),x, algorithm=""maxima"")","-\frac{2}{\left(b x^{n}\right)^{\frac{3}{2}} {\left(3 \, n + 2\right)} x}"," ",0,"-2/((b*x^n)^(3/2)*(3*n + 2)*x)","A",0
154,1,19,0,1.325412," ","integrate(1/x^3/(b*x^n)^(3/2),x, algorithm=""maxima"")","-\frac{2}{\left(b x^{n}\right)^{\frac{3}{2}} {\left(3 \, n + 4\right)} x^{2}}"," ",0,"-2/((b*x^n)^(3/2)*(3*n + 4)*x^2)","A",0
155,1,17,0,1.352473," ","integrate(1/x^4/(b*x^n)^(3/2),x, algorithm=""maxima"")","-\frac{2}{3 \, \left(b x^{n}\right)^{\frac{3}{2}} {\left(n + 2\right)} x^{3}}"," ",0,"-2/3/((b*x^n)^(3/2)*(n + 2)*x^3)","A",0
156,1,24,0,1.490999," ","integrate(x^m/(a*x^n)^(3/2),x, algorithm=""maxima"")","\frac{2 \, x x^{m}}{a^{\frac{3}{2}} {\left(2 \, m - 3 \, n + 2\right)} {\left(x^{n}\right)}^{\frac{3}{2}}}"," ",0,"2*x*x^m/(a^(3/2)*(2*m - 3*n + 2)*(x^n)^(3/2))","A",0
157,1,27,0,1.623485," ","integrate((c*x)^m/(a*x^n)^(3/2),x, algorithm=""maxima"")","\frac{2 \, c^{m} x x^{m}}{a^{\frac{3}{2}} {\left(2 \, m - 3 \, n + 2\right)} {\left(x^{n}\right)}^{\frac{3}{2}}}"," ",0,"2*c^m*x*x^m/(a^(3/2)*(2*m - 3*n + 2)*(x^n)^(3/2))","A",0
158,1,24,0,1.393873," ","integrate(x^m*(b*x^n)^(3/2),x, algorithm=""maxima"")","\frac{2 \, b^{\frac{3}{2}} x x^{m} {\left(x^{n}\right)}^{\frac{3}{2}}}{2 \, m + 3 \, n + 2}"," ",0,"2*b^(3/2)*x*x^m*(x^n)^(3/2)/(2*m + 3*n + 2)","A",0
159,1,22,0,1.515954," ","integrate(x^m*(b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b} x x^{m} \sqrt{x^{n}}}{2 \, m + n + 2}"," ",0,"2*sqrt(b)*x*x^m*sqrt(x^n)/(2*m + n + 2)","A",0
160,1,24,0,1.571610," ","integrate(x^m/(b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, x x^{m}}{\sqrt{b} {\left(2 \, m - n + 2\right)} \sqrt{x^{n}}}"," ",0,"2*x*x^m/(sqrt(b)*(2*m - n + 2)*sqrt(x^n))","A",0
161,1,24,0,1.519359," ","integrate(x^m/(b*x^n)^(3/2),x, algorithm=""maxima"")","\frac{2 \, x x^{m}}{b^{\frac{3}{2}} {\left(2 \, m - 3 \, n + 2\right)} {\left(x^{n}\right)}^{\frac{3}{2}}}"," ",0,"2*x*x^m/(b^(3/2)*(2*m - 3*n + 2)*(x^n)^(3/2))","A",0
162,1,27,0,1.537879," ","integrate((c*x)^m*(b*x^n)^(5/2),x, algorithm=""maxima"")","\frac{2 \, b^{\frac{5}{2}} c^{m} x x^{m} {\left(x^{n}\right)}^{\frac{5}{2}}}{2 \, m + 5 \, n + 2}"," ",0,"2*b^(5/2)*c^m*x*x^m*(x^n)^(5/2)/(2*m + 5*n + 2)","A",0
163,1,27,0,1.506706," ","integrate((c*x)^m*(b*x^n)^(3/2),x, algorithm=""maxima"")","\frac{2 \, b^{\frac{3}{2}} c^{m} x x^{m} {\left(x^{n}\right)}^{\frac{3}{2}}}{2 \, m + 3 \, n + 2}"," ",0,"2*b^(3/2)*c^m*x*x^m*(x^n)^(3/2)/(2*m + 3*n + 2)","A",0
164,1,25,0,1.474048," ","integrate((c*x)^m*(b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b} c^{m} x x^{m} \sqrt{x^{n}}}{2 \, m + n + 2}"," ",0,"2*sqrt(b)*c^m*x*x^m*sqrt(x^n)/(2*m + n + 2)","A",0
165,1,27,0,1.503771," ","integrate((c*x)^m/(b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, c^{m} x x^{m}}{\sqrt{b} {\left(2 \, m - n + 2\right)} \sqrt{x^{n}}}"," ",0,"2*c^m*x*x^m/(sqrt(b)*(2*m - n + 2)*sqrt(x^n))","A",0
166,1,27,0,1.518917," ","integrate((c*x)^m/(b*x^n)^(3/2),x, algorithm=""maxima"")","\frac{2 \, c^{m} x x^{m}}{b^{\frac{3}{2}} {\left(2 \, m - 3 \, n + 2\right)} {\left(x^{n}\right)}^{\frac{3}{2}}}"," ",0,"2*c^m*x*x^m/(b^(3/2)*(2*m - 3*n + 2)*(x^n)^(3/2))","A",0
167,1,27,0,1.566809," ","integrate((c*x)^m/(b*x^n)^(5/2),x, algorithm=""maxima"")","\frac{2 \, c^{m} x x^{m}}{b^{\frac{5}{2}} {\left(2 \, m - 5 \, n + 2\right)} {\left(x^{n}\right)}^{\frac{5}{2}}}"," ",0,"2*c^m*x*x^m/(b^(5/2)*(2*m - 5*n + 2)*(x^n)^(5/2))","A",0
168,0,0,0,0.000000," ","integrate(x^(-1-3/2*n)*(b*x^n)^(3/2),x, algorithm=""maxima"")","\int \left(b x^{n}\right)^{\frac{3}{2}} x^{-\frac{3}{2} \, n - 1}\,{d x}"," ",0,"integrate((b*x^n)^(3/2)*x^(-3/2*n - 1), x)","F",0
169,0,0,0,0.000000," ","integrate(x^(-1-1/2*n)*(b*x^n)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{n}} x^{-\frac{1}{2} \, n - 1}\,{d x}"," ",0,"integrate(sqrt(b*x^n)*x^(-1/2*n - 1), x)","F",0
170,0,0,0,0.000000," ","integrate(x^(-1+1/2*n)/(b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{1}{2} \, n - 1}}{\sqrt{b x^{n}}}\,{d x}"," ",0,"integrate(x^(1/2*n - 1)/sqrt(b*x^n), x)","F",0
171,0,0,0,0.000000," ","integrate(x^(-1+3/2*n)/(b*x^n)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{3}{2} \, n - 1}}{\left(b x^{n}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^(3/2*n - 1)/(b*x^n)^(3/2), x)","F",0
172,1,25,0,1.478347," ","integrate(x^m*(b*x^n)^p,x, algorithm=""maxima"")","\frac{b^{p} x e^{\left(m \log\left(x\right) + p \log\left(x^{n}\right)\right)}}{n p + m + 1}"," ",0,"b^p*x*e^(m*log(x) + p*log(x^n))/(n*p + m + 1)","A",0
173,1,28,0,1.481056," ","integrate((c*x)^m*(b*x^n)^p,x, algorithm=""maxima"")","\frac{b^{p} c^{m} x e^{\left(m \log\left(x\right) + p \log\left(x^{n}\right)\right)}}{n p + m + 1}"," ",0,"b^p*c^m*x*e^(m*log(x) + p*log(x^n))/(n*p + m + 1)","A",0
174,1,19,0,1.478063," ","integrate(x^2*(b*x^n)^p,x, algorithm=""maxima"")","\frac{b^{p} x^{3} {\left(x^{n}\right)}^{p}}{n p + 3}"," ",0,"b^p*x^3*(x^n)^p/(n*p + 3)","A",0
175,1,19,0,1.422370," ","integrate(x*(b*x^n)^p,x, algorithm=""maxima"")","\frac{b^{p} x^{2} {\left(x^{n}\right)}^{p}}{n p + 2}"," ",0,"b^p*x^2*(x^n)^p/(n*p + 2)","A",0
176,1,17,0,1.464515," ","integrate((b*x^n)^p,x, algorithm=""maxima"")","\frac{b^{p} x {\left(x^{n}\right)}^{p}}{n p + 1}"," ",0,"b^p*x*(x^n)^p/(n*p + 1)","A",0
177,1,15,0,1.422257," ","integrate((b*x^n)^p/x,x, algorithm=""maxima"")","\frac{b^{p} {\left(x^{n}\right)}^{p}}{n p}"," ",0,"b^p*(x^n)^p/(n*p)","A",0
178,1,19,0,1.496134," ","integrate((b*x^n)^p/x^2,x, algorithm=""maxima"")","\frac{b^{p} {\left(x^{n}\right)}^{p}}{{\left(n p - 1\right)} x}"," ",0,"b^p*(x^n)^p/((n*p - 1)*x)","A",0
179,1,19,0,1.463826," ","integrate((b*x^n)^p/x^3,x, algorithm=""maxima"")","\frac{b^{p} {\left(x^{n}\right)}^{p}}{{\left(n p - 2\right)} x^{2}}"," ",0,"b^p*(x^n)^p/((n*p - 2)*x^2)","A",0
180,1,27,0,1.474727," ","integrate(x^m/((a*x^n)^(1/n)),x, algorithm=""maxima"")","\frac{x e^{\left(m \log\left(x\right) - \frac{\log\left(x^{n}\right)}{n}\right)}}{a^{\left(\frac{1}{n}\right)} m}"," ",0,"x*e^(m*log(x) - log(x^n)/n)/(a^(1/n)*m)","A",0
181,1,30,0,1.520180," ","integrate((c*x)^m/((a*x^n)^(1/n)),x, algorithm=""maxima"")","\frac{c^{m} x e^{\left(m \log\left(x\right) - \frac{\log\left(x^{n}\right)}{n}\right)}}{a^{\left(\frac{1}{n}\right)} m}"," ",0,"c^m*x*e^(m*log(x) - log(x^n)/n)/(a^(1/n)*m)","A",0
182,1,21,0,1.473232," ","integrate(x^2/((a*x^n)^(1/n)),x, algorithm=""maxima"")","\frac{x^{3}}{2 \, a^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)}}"," ",0,"1/2*x^3/(a^(1/n)*(x^n)^(1/n))","A",0
183,1,20,0,1.464458," ","integrate(x/((a*x^n)^(1/n)),x, algorithm=""maxima"")","\frac{x^{2}}{a^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)}}"," ",0,"x^2/(a^(1/n)*(x^n)^(1/n))","A",0
184,0,0,0,0.000000," ","integrate(1/((a*x^n)^(1/n)),x, algorithm=""maxima"")","\int \frac{1}{\left(a x^{n}\right)^{\left(\frac{1}{n}\right)}}\,{d x}"," ",0,"integrate(1/((a*x^n)^(1/n)), x)","F",0
185,1,18,0,1.504813," ","integrate(1/x/((a*x^n)^(1/n)),x, algorithm=""maxima"")","-\frac{1}{a^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)}}"," ",0,"-1/(a^(1/n)*(x^n)^(1/n))","A",0
186,0,0,0,0.000000," ","integrate(1/x^2/((a*x^n)^(1/n)),x, algorithm=""maxima"")","\int \frac{1}{\left(a x^{n}\right)^{\left(\frac{1}{n}\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((a*x^n)^(1/n)*x^2), x)","F",0
187,0,0,0,0.000000," ","integrate(x^m/((a*x^n)^((1+m)/n)),x, algorithm=""maxima"")","\int \frac{x^{m}}{\left(a x^{n}\right)^{\frac{m + 1}{n}}}\,{d x}"," ",0,"integrate(x^m/(a*x^n)^((m + 1)/n), x)","F",0
188,0,0,0,0.000000," ","integrate(x^(-n*p-1)*(a*x^n)^p,x, algorithm=""maxima"")","\int \left(a x^{n}\right)^{p} x^{-n p - 1}\,{d x}"," ",0,"integrate((a*x^n)^p*x^(-n*p - 1), x)","F",0
189,1,33,0,2.635650," ","integrate(x^m*(a*(b*x^n)^p)^q,x, algorithm=""maxima"")","\frac{a^{q} b^{p q} x e^{\left(m \log\left(x\right) + q \log\left({\left(x^{n}\right)}^{p}\right)\right)}}{n p q + m + 1}"," ",0,"a^q*b^(p*q)*x*e^(m*log(x) + q*log((x^n)^p))/(n*p*q + m + 1)","A",0
190,1,27,0,2.676699," ","integrate(x^2*(a*(b*x^n)^p)^q,x, algorithm=""maxima"")","\frac{a^{q} b^{p q} x^{3} {\left({\left(x^{n}\right)}^{p}\right)}^{q}}{n p q + 3}"," ",0,"a^q*b^(p*q)*x^3*((x^n)^p)^q/(n*p*q + 3)","A",0
191,1,27,0,2.695559," ","integrate(x*(a*(b*x^n)^p)^q,x, algorithm=""maxima"")","\frac{a^{q} b^{p q} x^{2} {\left({\left(x^{n}\right)}^{p}\right)}^{q}}{n p q + 2}"," ",0,"a^q*b^(p*q)*x^2*((x^n)^p)^q/(n*p*q + 2)","A",0
192,1,25,0,2.667783," ","integrate((a*(b*x^n)^p)^q,x, algorithm=""maxima"")","\frac{a^{q} b^{p q} x {\left({\left(x^{n}\right)}^{p}\right)}^{q}}{n p q + 1}"," ",0,"a^q*b^(p*q)*x*((x^n)^p)^q/(n*p*q + 1)","A",0
193,1,25,0,2.730282," ","integrate((a*(b*x^n)^p)^q/x,x, algorithm=""maxima"")","\frac{a^{q} b^{p q} {\left({\left(x^{n}\right)}^{p}\right)}^{q}}{n p q}"," ",0,"a^q*b^(p*q)*((x^n)^p)^q/(n*p*q)","A",0
194,1,27,0,2.801265," ","integrate((a*(b*x^n)^p)^q/x^2,x, algorithm=""maxima"")","\frac{a^{q} b^{p q} {\left({\left(x^{n}\right)}^{p}\right)}^{q}}{{\left(n p q - 1\right)} x}"," ",0,"a^q*b^(p*q)*((x^n)^p)^q/((n*p*q - 1)*x)","A",0
195,1,27,0,2.814922," ","integrate((a*(b*x^n)^p)^q/x^3,x, algorithm=""maxima"")","\frac{a^{q} b^{p q} {\left({\left(x^{n}\right)}^{p}\right)}^{q}}{{\left(n p q - 2\right)} x^{2}}"," ",0,"a^q*b^(p*q)*((x^n)^p)^q/((n*p*q - 2)*x^2)","A",0
196,1,38,0,3.048144," ","integrate(x^2/((a*(b*x^m)^n)^(1/m/n)),x, algorithm=""maxima"")","\frac{x^{3}}{2 \, a^{\frac{1}{m n}} b^{\left(\frac{1}{m}\right)} {\left({\left(x^{m}\right)}^{n}\right)}^{\frac{1}{m n}}}"," ",0,"1/2*x^3/(a^(1/(m*n))*b^(1/m)*((x^m)^n)^(1/(m*n)))","A",0
197,1,37,0,3.131242," ","integrate(x/((a*(b*x^m)^n)^(1/m/n)),x, algorithm=""maxima"")","\frac{x^{2}}{a^{\frac{1}{m n}} b^{\left(\frac{1}{m}\right)} {\left({\left(x^{m}\right)}^{n}\right)}^{\frac{1}{m n}}}"," ",0,"x^2/(a^(1/(m*n))*b^(1/m)*((x^m)^n)^(1/(m*n)))","A",0
198,0,0,0,0.000000," ","integrate(1/((a*(b*x^m)^n)^(1/m/n)),x, algorithm=""maxima"")","\int \frac{1}{\left(\left(b x^{m}\right)^{n} a\right)^{\frac{1}{m n}}}\,{d x}"," ",0,"integrate(1/(((b*x^m)^n*a)^(1/(m*n))), x)","F",0
199,1,35,0,3.111045," ","integrate(1/x/((a*(b*x^m)^n)^(1/m/n)),x, algorithm=""maxima"")","-\frac{1}{a^{\frac{1}{m n}} b^{\left(\frac{1}{m}\right)} {\left({\left(x^{m}\right)}^{n}\right)}^{\frac{1}{m n}}}"," ",0,"-1/(a^(1/(m*n))*b^(1/m)*((x^m)^n)^(1/(m*n)))","A",0
200,0,0,0,0.000000," ","integrate(1/x^2/((a*(b*x^m)^n)^(1/m/n)),x, algorithm=""maxima"")","\int \frac{1}{\left(\left(b x^{m}\right)^{n} a\right)^{\frac{1}{m n}} x^{2}}\,{d x}"," ",0,"integrate(1/(((b*x^m)^n*a)^(1/(m*n))*x^2), x)","F",0
201,0,0,0,0.000000," ","integrate(x^(-n*p*q+2)*(a*(b*x^n)^p)^q,x, algorithm=""maxima"")","\int \left(\left(b x^{n}\right)^{p} a\right)^{q} x^{-n p q + 2}\,{d x}"," ",0,"integrate(((b*x^n)^p*a)^q*x^(-n*p*q + 2), x)","F",0
202,0,0,0,0.000000," ","integrate(x^(-n*p*q+1)*(a*(b*x^n)^p)^q,x, algorithm=""maxima"")","\int \left(\left(b x^{n}\right)^{p} a\right)^{q} x^{-n p q + 1}\,{d x}"," ",0,"integrate(((b*x^n)^p*a)^q*x^(-n*p*q + 1), x)","F",0
203,0,0,0,0.000000," ","integrate((a*(b*x^n)^p)^q/(x^(n*p*q)),x, algorithm=""maxima"")","\int \frac{\left(\left(b x^{n}\right)^{p} a\right)^{q}}{x^{n p q}}\,{d x}"," ",0,"integrate(((b*x^n)^p*a)^q/x^(n*p*q), x)","F",0
204,0,0,0,0.000000," ","integrate(x^(-n*p*q-1)*(a*(b*x^n)^p)^q,x, algorithm=""maxima"")","\int \left(\left(b x^{n}\right)^{p} a\right)^{q} x^{-n p q - 1}\,{d x}"," ",0,"integrate(((b*x^n)^p*a)^q*x^(-n*p*q - 1), x)","F",0
205,0,0,0,0.000000," ","integrate(x^(-n*p*q-2)*(a*(b*x^n)^p)^q,x, algorithm=""maxima"")","\int \left(\left(b x^{n}\right)^{p} a\right)^{q} x^{-n p q - 2}\,{d x}"," ",0,"integrate(((b*x^n)^p*a)^q*x^(-n*p*q - 2), x)","F",0
206,1,13,0,1.313356," ","integrate(x^3*(b*x^3+a),x, algorithm=""maxima"")","\frac{1}{7} \, b x^{7} + \frac{1}{4} \, a x^{4}"," ",0,"1/7*b*x^7 + 1/4*a*x^4","A",0
207,1,14,0,1.357826," ","integrate(x^2*(b*x^3+a),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{2}}{6 \, b}"," ",0,"1/6*(b*x^3 + a)^2/b","A",0
208,1,13,0,1.295256," ","integrate(x*(b*x^3+a),x, algorithm=""maxima"")","\frac{1}{5} \, b x^{5} + \frac{1}{2} \, a x^{2}"," ",0,"1/5*b*x^5 + 1/2*a*x^2","A",0
209,1,10,0,1.322027," ","integrate(b*x^3+a,x, algorithm=""maxima"")","\frac{1}{4} \, b x^{4} + a x"," ",0,"1/4*b*x^4 + a*x","A",0
210,1,14,0,1.253816," ","integrate((b*x^3+a)/x,x, algorithm=""maxima"")","\frac{1}{3} \, b x^{3} + \frac{1}{3} \, a \log\left(x^{3}\right)"," ",0,"1/3*b*x^3 + 1/3*a*log(x^3)","A",0
211,1,13,0,1.276966," ","integrate((b*x^3+a)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, b x^{2} - \frac{a}{x}"," ",0,"1/2*b*x^2 - a/x","A",0
212,1,10,0,1.334814," ","integrate((b*x^3+a)/x^3,x, algorithm=""maxima"")","b x - \frac{a}{2 \, x^{2}}"," ",0,"b*x - 1/2*a/x^2","A",0
213,1,14,0,1.308299," ","integrate((b*x^3+a)/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, b \log\left(x^{3}\right) - \frac{a}{3 \, x^{3}}"," ",0,"1/3*b*log(x^3) - 1/3*a/x^3","A",0
214,1,13,0,1.235605," ","integrate((b*x^3+a)/x^5,x, algorithm=""maxima"")","-\frac{4 \, b x^{3} + a}{4 \, x^{4}}"," ",0,"-1/4*(4*b*x^3 + a)/x^4","A",0
215,1,15,0,1.289382," ","integrate((b*x^3+a)/x^6,x, algorithm=""maxima"")","-\frac{5 \, b x^{3} + 2 \, a}{10 \, x^{5}}"," ",0,"-1/10*(5*b*x^3 + 2*a)/x^5","A",0
216,1,13,0,1.315638," ","integrate((b*x^3+a)/x^7,x, algorithm=""maxima"")","-\frac{2 \, b x^{3} + a}{6 \, x^{6}}"," ",0,"-1/6*(2*b*x^3 + a)/x^6","A",0
217,1,15,0,1.279068," ","integrate((b*x^3+a)/x^8,x, algorithm=""maxima"")","-\frac{7 \, b x^{3} + 4 \, a}{28 \, x^{7}}"," ",0,"-1/28*(7*b*x^3 + 4*a)/x^7","A",0
218,1,24,0,1.367061," ","integrate(x^4*(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{1}{11} \, b^{2} x^{11} + \frac{1}{4} \, a b x^{8} + \frac{1}{5} \, a^{2} x^{5}"," ",0,"1/11*b^2*x^11 + 1/4*a*b*x^8 + 1/5*a^2*x^5","A",0
219,1,24,0,1.340769," ","integrate(x^3*(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{1}{10} \, b^{2} x^{10} + \frac{2}{7} \, a b x^{7} + \frac{1}{4} \, a^{2} x^{4}"," ",0,"1/10*b^2*x^10 + 2/7*a*b*x^7 + 1/4*a^2*x^4","A",0
220,1,14,0,1.256687," ","integrate(x^2*(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{3}}{9 \, b}"," ",0,"1/9*(b*x^3 + a)^3/b","A",0
221,1,24,0,1.267244," ","integrate(x*(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{1}{8} \, b^{2} x^{8} + \frac{2}{5} \, a b x^{5} + \frac{1}{2} \, a^{2} x^{2}"," ",0,"1/8*b^2*x^8 + 2/5*a*b*x^5 + 1/2*a^2*x^2","A",0
222,1,21,0,1.354758," ","integrate((b*x^3+a)^2,x, algorithm=""maxima"")","\frac{1}{7} \, b^{2} x^{7} + \frac{1}{2} \, a b x^{4} + a^{2} x"," ",0,"1/7*b^2*x^7 + 1/2*a*b*x^4 + a^2*x","A",0
223,1,25,0,1.266935," ","integrate((b*x^3+a)^2/x,x, algorithm=""maxima"")","\frac{1}{6} \, b^{2} x^{6} + \frac{2}{3} \, a b x^{3} + \frac{1}{3} \, a^{2} \log\left(x^{3}\right)"," ",0,"1/6*b^2*x^6 + 2/3*a*b*x^3 + 1/3*a^2*log(x^3)","A",0
224,1,23,0,1.284448," ","integrate((b*x^3+a)^2/x^2,x, algorithm=""maxima"")","\frac{1}{5} \, b^{2} x^{5} + a b x^{2} - \frac{a^{2}}{x}"," ",0,"1/5*b^2*x^5 + a*b*x^2 - a^2/x","A",0
225,1,22,0,1.269581," ","integrate((b*x^3+a)^2/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, b^{2} x^{4} + 2 \, a b x - \frac{a^{2}}{2 \, x^{2}}"," ",0,"1/4*b^2*x^4 + 2*a*b*x - 1/2*a^2/x^2","A",0
226,1,25,0,1.320677," ","integrate((b*x^3+a)^2/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} x^{3} + \frac{2}{3} \, a b \log\left(x^{3}\right) - \frac{a^{2}}{3 \, x^{3}}"," ",0,"1/3*b^2*x^3 + 2/3*a*b*log(x^3) - 1/3*a^2/x^3","A",0
227,1,25,0,1.368536," ","integrate((b*x^3+a)^2/x^5,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} x^{2} - \frac{8 \, a b x^{3} + a^{2}}{4 \, x^{4}}"," ",0,"1/2*b^2*x^2 - 1/4*(8*a*b*x^3 + a^2)/x^4","A",0
228,1,22,0,1.343645," ","integrate((b*x^3+a)^2/x^6,x, algorithm=""maxima"")","b^{2} x - \frac{5 \, a b x^{3} + a^{2}}{5 \, x^{5}}"," ",0,"b^2*x - 1/5*(5*a*b*x^3 + a^2)/x^5","A",0
229,1,26,0,1.328976," ","integrate((b*x^3+a)^2/x^7,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} \log\left(x^{3}\right) - \frac{4 \, a b x^{3} + a^{2}}{6 \, x^{6}}"," ",0,"1/3*b^2*log(x^3) - 1/6*(4*a*b*x^3 + a^2)/x^6","A",0
230,1,26,0,1.314357," ","integrate((b*x^3+a)^2/x^8,x, algorithm=""maxima"")","-\frac{14 \, b^{2} x^{6} + 7 \, a b x^{3} + 2 \, a^{2}}{14 \, x^{7}}"," ",0,"-1/14*(14*b^2*x^6 + 7*a*b*x^3 + 2*a^2)/x^7","A",0
231,1,26,0,1.318238," ","integrate((b*x^3+a)^2/x^9,x, algorithm=""maxima"")","-\frac{20 \, b^{2} x^{6} + 16 \, a b x^{3} + 5 \, a^{2}}{40 \, x^{8}}"," ",0,"-1/40*(20*b^2*x^6 + 16*a*b*x^3 + 5*a^2)/x^8","A",0
232,1,24,0,1.398452," ","integrate((b*x^3+a)^2/x^10,x, algorithm=""maxima"")","-\frac{3 \, b^{2} x^{6} + 3 \, a b x^{3} + a^{2}}{9 \, x^{9}}"," ",0,"-1/9*(3*b^2*x^6 + 3*a*b*x^3 + a^2)/x^9","A",0
233,1,26,0,1.315373," ","integrate((b*x^3+a)^2/x^11,x, algorithm=""maxima"")","-\frac{35 \, b^{2} x^{6} + 40 \, a b x^{3} + 14 \, a^{2}}{140 \, x^{10}}"," ",0,"-1/140*(35*b^2*x^6 + 40*a*b*x^3 + 14*a^2)/x^10","A",0
234,1,26,0,1.313709," ","integrate((b*x^3+a)^2/x^12,x, algorithm=""maxima"")","-\frac{44 \, b^{2} x^{6} + 55 \, a b x^{3} + 20 \, a^{2}}{220 \, x^{11}}"," ",0,"-1/220*(44*b^2*x^6 + 55*a*b*x^3 + 20*a^2)/x^11","A",0
235,1,26,0,1.258303," ","integrate((b*x^3+a)^2/x^13,x, algorithm=""maxima"")","-\frac{6 \, b^{2} x^{6} + 8 \, a b x^{3} + 3 \, a^{2}}{36 \, x^{12}}"," ",0,"-1/36*(6*b^2*x^6 + 8*a*b*x^3 + 3*a^2)/x^12","A",0
236,1,35,0,1.296215," ","integrate(x^14*(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{1}{24} \, b^{3} x^{24} + \frac{1}{7} \, a b^{2} x^{21} + \frac{1}{6} \, a^{2} b x^{18} + \frac{1}{15} \, a^{3} x^{15}"," ",0,"1/24*b^3*x^24 + 1/7*a*b^2*x^21 + 1/6*a^2*b*x^18 + 1/15*a^3*x^15","A",0
237,1,35,0,1.294429," ","integrate(x^11*(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{1}{21} \, b^{3} x^{21} + \frac{1}{6} \, a b^{2} x^{18} + \frac{1}{5} \, a^{2} b x^{15} + \frac{1}{12} \, a^{3} x^{12}"," ",0,"1/21*b^3*x^21 + 1/6*a*b^2*x^18 + 1/5*a^2*b*x^15 + 1/12*a^3*x^12","A",0
238,1,35,0,1.306786," ","integrate(x^8*(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{1}{18} \, b^{3} x^{18} + \frac{1}{5} \, a b^{2} x^{15} + \frac{1}{4} \, a^{2} b x^{12} + \frac{1}{9} \, a^{3} x^{9}"," ",0,"1/18*b^3*x^18 + 1/5*a*b^2*x^15 + 1/4*a^2*b*x^12 + 1/9*a^3*x^9","A",0
239,1,35,0,1.292574," ","integrate(x^5*(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{1}{15} \, b^{3} x^{15} + \frac{1}{4} \, a b^{2} x^{12} + \frac{1}{3} \, a^{2} b x^{9} + \frac{1}{6} \, a^{3} x^{6}"," ",0,"1/15*b^3*x^15 + 1/4*a*b^2*x^12 + 1/3*a^2*b*x^9 + 1/6*a^3*x^6","A",0
240,1,14,0,1.272366," ","integrate(x^2*(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{4}}{12 \, b}"," ",0,"1/12*(b*x^3 + a)^4/b","A",0
241,1,35,0,1.373476," ","integrate((b*x^3+a)^3/x,x, algorithm=""maxima"")","\frac{1}{9} \, b^{3} x^{9} + \frac{1}{2} \, a b^{2} x^{6} + a^{2} b x^{3} + \frac{1}{3} \, a^{3} \log\left(x^{3}\right)"," ",0,"1/9*b^3*x^9 + 1/2*a*b^2*x^6 + a^2*b*x^3 + 1/3*a^3*log(x^3)","A",0
242,1,34,0,1.357682," ","integrate((b*x^3+a)^3/x^4,x, algorithm=""maxima"")","\frac{1}{6} \, b^{3} x^{6} + a b^{2} x^{3} + a^{2} b \log\left(x^{3}\right) - \frac{a^{3}}{3 \, x^{3}}"," ",0,"1/6*b^3*x^6 + a*b^2*x^3 + a^2*b*log(x^3) - 1/3*a^3/x^3","A",0
243,1,36,0,1.345849," ","integrate((b*x^3+a)^3/x^7,x, algorithm=""maxima"")","\frac{1}{3} \, b^{3} x^{3} + a b^{2} \log\left(x^{3}\right) - \frac{6 \, a^{2} b x^{3} + a^{3}}{6 \, x^{6}}"," ",0,"1/3*b^3*x^3 + a*b^2*log(x^3) - 1/6*(6*a^2*b*x^3 + a^3)/x^6","A",0
244,1,39,0,1.331638," ","integrate((b*x^3+a)^3/x^10,x, algorithm=""maxima"")","\frac{1}{3} \, b^{3} \log\left(x^{3}\right) - \frac{18 \, a b^{2} x^{6} + 9 \, a^{2} b x^{3} + 2 \, a^{3}}{18 \, x^{9}}"," ",0,"1/3*b^3*log(x^3) - 1/18*(18*a*b^2*x^6 + 9*a^2*b*x^3 + 2*a^3)/x^9","A",0
245,1,35,0,1.348872," ","integrate((b*x^3+a)^3/x^13,x, algorithm=""maxima"")","-\frac{4 \, b^{3} x^{9} + 6 \, a b^{2} x^{6} + 4 \, a^{2} b x^{3} + a^{3}}{12 \, x^{12}}"," ",0,"-1/12*(4*b^3*x^9 + 6*a*b^2*x^6 + 4*a^2*b*x^3 + a^3)/x^12","B",0
246,1,37,0,1.305693," ","integrate((b*x^3+a)^3/x^16,x, algorithm=""maxima"")","-\frac{10 \, b^{3} x^{9} + 20 \, a b^{2} x^{6} + 15 \, a^{2} b x^{3} + 4 \, a^{3}}{60 \, x^{15}}"," ",0,"-1/60*(10*b^3*x^9 + 20*a*b^2*x^6 + 15*a^2*b*x^3 + 4*a^3)/x^15","A",0
247,1,37,0,1.346946," ","integrate((b*x^3+a)^3/x^19,x, algorithm=""maxima"")","-\frac{20 \, b^{3} x^{9} + 45 \, a b^{2} x^{6} + 36 \, a^{2} b x^{3} + 10 \, a^{3}}{180 \, x^{18}}"," ",0,"-1/180*(20*b^3*x^9 + 45*a*b^2*x^6 + 36*a^2*b*x^3 + 10*a^3)/x^18","A",0
248,1,37,0,1.346148," ","integrate((b*x^3+a)^3/x^22,x, algorithm=""maxima"")","-\frac{35 \, b^{3} x^{9} + 84 \, a b^{2} x^{6} + 70 \, a^{2} b x^{3} + 20 \, a^{3}}{420 \, x^{21}}"," ",0,"-1/420*(35*b^3*x^9 + 84*a*b^2*x^6 + 70*a^2*b*x^3 + 20*a^3)/x^21","A",0
249,1,35,0,1.329478," ","integrate(x^4*(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{1}{14} \, b^{3} x^{14} + \frac{3}{11} \, a b^{2} x^{11} + \frac{3}{8} \, a^{2} b x^{8} + \frac{1}{5} \, a^{3} x^{5}"," ",0,"1/14*b^3*x^14 + 3/11*a*b^2*x^11 + 3/8*a^2*b*x^8 + 1/5*a^3*x^5","A",0
250,1,35,0,1.293407," ","integrate(x^3*(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{1}{13} \, b^{3} x^{13} + \frac{3}{10} \, a b^{2} x^{10} + \frac{3}{7} \, a^{2} b x^{7} + \frac{1}{4} \, a^{3} x^{4}"," ",0,"1/13*b^3*x^13 + 3/10*a*b^2*x^10 + 3/7*a^2*b*x^7 + 1/4*a^3*x^4","A",0
251,1,35,0,1.373540," ","integrate(x*(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{1}{11} \, b^{3} x^{11} + \frac{3}{8} \, a b^{2} x^{8} + \frac{3}{5} \, a^{2} b x^{5} + \frac{1}{2} \, a^{3} x^{2}"," ",0,"1/11*b^3*x^11 + 3/8*a*b^2*x^8 + 3/5*a^2*b*x^5 + 1/2*a^3*x^2","A",0
252,1,32,0,1.351872," ","integrate((b*x^3+a)^3,x, algorithm=""maxima"")","\frac{1}{10} \, b^{3} x^{10} + \frac{3}{7} \, a b^{2} x^{7} + \frac{3}{4} \, a^{2} b x^{4} + a^{3} x"," ",0,"1/10*b^3*x^10 + 3/7*a*b^2*x^7 + 3/4*a^2*b*x^4 + a^3*x","A",0
253,1,35,0,1.322572," ","integrate((b*x^3+a)^3/x^2,x, algorithm=""maxima"")","\frac{1}{8} \, b^{3} x^{8} + \frac{3}{5} \, a b^{2} x^{5} + \frac{3}{2} \, a^{2} b x^{2} - \frac{a^{3}}{x}"," ",0,"1/8*b^3*x^8 + 3/5*a*b^2*x^5 + 3/2*a^2*b*x^2 - a^3/x","A",0
254,1,33,0,1.319754," ","integrate((b*x^3+a)^3/x^3,x, algorithm=""maxima"")","\frac{1}{7} \, b^{3} x^{7} + \frac{3}{4} \, a b^{2} x^{4} + 3 \, a^{2} b x - \frac{a^{3}}{2 \, x^{2}}"," ",0,"1/7*b^3*x^7 + 3/4*a*b^2*x^4 + 3*a^2*b*x - 1/2*a^3/x^2","A",0
255,1,36,0,1.314316," ","integrate((b*x^3+a)^3/x^5,x, algorithm=""maxima"")","\frac{1}{5} \, b^{3} x^{5} + \frac{3}{2} \, a b^{2} x^{2} - \frac{12 \, a^{2} b x^{3} + a^{3}}{4 \, x^{4}}"," ",0,"1/5*b^3*x^5 + 3/2*a*b^2*x^2 - 1/4*(12*a^2*b*x^3 + a^3)/x^4","A",0
256,1,36,0,1.316878," ","integrate((b*x^3+a)^3/x^6,x, algorithm=""maxima"")","\frac{1}{4} \, b^{3} x^{4} + 3 \, a b^{2} x - \frac{15 \, a^{2} b x^{3} + 2 \, a^{3}}{10 \, x^{5}}"," ",0,"1/4*b^3*x^4 + 3*a*b^2*x - 1/10*(15*a^2*b*x^3 + 2*a^3)/x^5","A",0
257,1,38,0,1.285885," ","integrate((b*x^3+a)^3/x^8,x, algorithm=""maxima"")","\frac{1}{2} \, b^{3} x^{2} - \frac{84 \, a b^{2} x^{6} + 21 \, a^{2} b x^{3} + 4 \, a^{3}}{28 \, x^{7}}"," ",0,"1/2*b^3*x^2 - 1/28*(84*a*b^2*x^6 + 21*a^2*b*x^3 + 4*a^3)/x^7","A",0
258,1,57,0,1.351170," ","integrate(x^17*(b*x^3+a)^5,x, algorithm=""maxima"")","\frac{1}{33} \, b^{5} x^{33} + \frac{1}{6} \, a b^{4} x^{30} + \frac{10}{27} \, a^{2} b^{3} x^{27} + \frac{5}{12} \, a^{3} b^{2} x^{24} + \frac{5}{21} \, a^{4} b x^{21} + \frac{1}{18} \, a^{5} x^{18}"," ",0,"1/33*b^5*x^33 + 1/6*a*b^4*x^30 + 10/27*a^2*b^3*x^27 + 5/12*a^3*b^2*x^24 + 5/21*a^4*b*x^21 + 1/18*a^5*x^18","A",0
259,1,57,0,1.355577," ","integrate(x^14*(b*x^3+a)^5,x, algorithm=""maxima"")","\frac{1}{30} \, b^{5} x^{30} + \frac{5}{27} \, a b^{4} x^{27} + \frac{5}{12} \, a^{2} b^{3} x^{24} + \frac{10}{21} \, a^{3} b^{2} x^{21} + \frac{5}{18} \, a^{4} b x^{18} + \frac{1}{15} \, a^{5} x^{15}"," ",0,"1/30*b^5*x^30 + 5/27*a*b^4*x^27 + 5/12*a^2*b^3*x^24 + 10/21*a^3*b^2*x^21 + 5/18*a^4*b*x^18 + 1/15*a^5*x^15","A",0
260,1,57,0,1.325983," ","integrate(x^11*(b*x^3+a)^5,x, algorithm=""maxima"")","\frac{1}{27} \, b^{5} x^{27} + \frac{5}{24} \, a b^{4} x^{24} + \frac{10}{21} \, a^{2} b^{3} x^{21} + \frac{5}{9} \, a^{3} b^{2} x^{18} + \frac{1}{3} \, a^{4} b x^{15} + \frac{1}{12} \, a^{5} x^{12}"," ",0,"1/27*b^5*x^27 + 5/24*a*b^4*x^24 + 10/21*a^2*b^3*x^21 + 5/9*a^3*b^2*x^18 + 1/3*a^4*b*x^15 + 1/12*a^5*x^12","A",0
261,1,57,0,1.329643," ","integrate(x^8*(b*x^3+a)^5,x, algorithm=""maxima"")","\frac{1}{24} \, b^{5} x^{24} + \frac{5}{21} \, a b^{4} x^{21} + \frac{5}{9} \, a^{2} b^{3} x^{18} + \frac{2}{3} \, a^{3} b^{2} x^{15} + \frac{5}{12} \, a^{4} b x^{12} + \frac{1}{9} \, a^{5} x^{9}"," ",0,"1/24*b^5*x^24 + 5/21*a*b^4*x^21 + 5/9*a^2*b^3*x^18 + 2/3*a^3*b^2*x^15 + 5/12*a^4*b*x^12 + 1/9*a^5*x^9","A",0
262,1,57,0,1.332981," ","integrate(x^5*(b*x^3+a)^5,x, algorithm=""maxima"")","\frac{1}{21} \, b^{5} x^{21} + \frac{5}{18} \, a b^{4} x^{18} + \frac{2}{3} \, a^{2} b^{3} x^{15} + \frac{5}{6} \, a^{3} b^{2} x^{12} + \frac{5}{9} \, a^{4} b x^{9} + \frac{1}{6} \, a^{5} x^{6}"," ",0,"1/21*b^5*x^21 + 5/18*a*b^4*x^18 + 2/3*a^2*b^3*x^15 + 5/6*a^3*b^2*x^12 + 5/9*a^4*b*x^9 + 1/6*a^5*x^6","A",0
263,1,14,0,1.374887," ","integrate(x^2*(b*x^3+a)^5,x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{6}}{18 \, b}"," ",0,"1/18*(b*x^3 + a)^6/b","A",0
264,1,58,0,1.280156," ","integrate((b*x^3+a)^5/x,x, algorithm=""maxima"")","\frac{1}{15} \, b^{5} x^{15} + \frac{5}{12} \, a b^{4} x^{12} + \frac{10}{9} \, a^{2} b^{3} x^{9} + \frac{5}{3} \, a^{3} b^{2} x^{6} + \frac{5}{3} \, a^{4} b x^{3} + \frac{1}{3} \, a^{5} \log\left(x^{3}\right)"," ",0,"1/15*b^5*x^15 + 5/12*a*b^4*x^12 + 10/9*a^2*b^3*x^9 + 5/3*a^3*b^2*x^6 + 5/3*a^4*b*x^3 + 1/3*a^5*log(x^3)","A",0
265,1,58,0,1.366481," ","integrate((b*x^3+a)^5/x^4,x, algorithm=""maxima"")","\frac{1}{12} \, b^{5} x^{12} + \frac{5}{9} \, a b^{4} x^{9} + \frac{5}{3} \, a^{2} b^{3} x^{6} + \frac{10}{3} \, a^{3} b^{2} x^{3} + \frac{5}{3} \, a^{4} b \log\left(x^{3}\right) - \frac{a^{5}}{3 \, x^{3}}"," ",0,"1/12*b^5*x^12 + 5/9*a*b^4*x^9 + 5/3*a^2*b^3*x^6 + 10/3*a^3*b^2*x^3 + 5/3*a^4*b*log(x^3) - 1/3*a^5/x^3","A",0
266,1,59,0,1.286157," ","integrate((b*x^3+a)^5/x^7,x, algorithm=""maxima"")","\frac{1}{9} \, b^{5} x^{9} + \frac{5}{6} \, a b^{4} x^{6} + \frac{10}{3} \, a^{2} b^{3} x^{3} + \frac{10}{3} \, a^{3} b^{2} \log\left(x^{3}\right) - \frac{10 \, a^{4} b x^{3} + a^{5}}{6 \, x^{6}}"," ",0,"1/9*b^5*x^9 + 5/6*a*b^4*x^6 + 10/3*a^2*b^3*x^3 + 10/3*a^3*b^2*log(x^3) - 1/6*(10*a^4*b*x^3 + a^5)/x^6","A",0
267,1,61,0,1.321211," ","integrate((b*x^3+a)^5/x^10,x, algorithm=""maxima"")","\frac{1}{6} \, b^{5} x^{6} + \frac{5}{3} \, a b^{4} x^{3} + \frac{10}{3} \, a^{2} b^{3} \log\left(x^{3}\right) - \frac{60 \, a^{3} b^{2} x^{6} + 15 \, a^{4} b x^{3} + 2 \, a^{5}}{18 \, x^{9}}"," ",0,"1/6*b^5*x^6 + 5/3*a*b^4*x^3 + 10/3*a^2*b^3*log(x^3) - 1/18*(60*a^3*b^2*x^6 + 15*a^4*b*x^3 + 2*a^5)/x^9","A",0
268,1,61,0,1.305341," ","integrate((b*x^3+a)^5/x^13,x, algorithm=""maxima"")","\frac{1}{3} \, b^{5} x^{3} + \frac{5}{3} \, a b^{4} \log\left(x^{3}\right) - \frac{120 \, a^{2} b^{3} x^{9} + 60 \, a^{3} b^{2} x^{6} + 20 \, a^{4} b x^{3} + 3 \, a^{5}}{36 \, x^{12}}"," ",0,"1/3*b^5*x^3 + 5/3*a*b^4*log(x^3) - 1/36*(120*a^2*b^3*x^9 + 60*a^3*b^2*x^6 + 20*a^4*b*x^3 + 3*a^5)/x^12","A",0
269,1,61,0,1.353428," ","integrate((b*x^3+a)^5/x^16,x, algorithm=""maxima"")","\frac{1}{3} \, b^{5} \log\left(x^{3}\right) - \frac{300 \, a b^{4} x^{12} + 300 \, a^{2} b^{3} x^{9} + 200 \, a^{3} b^{2} x^{6} + 75 \, a^{4} b x^{3} + 12 \, a^{5}}{180 \, x^{15}}"," ",0,"1/3*b^5*log(x^3) - 1/180*(300*a*b^4*x^12 + 300*a^2*b^3*x^9 + 200*a^3*b^2*x^6 + 75*a^4*b*x^3 + 12*a^5)/x^15","A",0
270,1,57,0,1.304038," ","integrate((b*x^3+a)^5/x^19,x, algorithm=""maxima"")","-\frac{6 \, b^{5} x^{15} + 15 \, a b^{4} x^{12} + 20 \, a^{2} b^{3} x^{9} + 15 \, a^{3} b^{2} x^{6} + 6 \, a^{4} b x^{3} + a^{5}}{18 \, x^{18}}"," ",0,"-1/18*(6*b^5*x^15 + 15*a*b^4*x^12 + 20*a^2*b^3*x^9 + 15*a^3*b^2*x^6 + 6*a^4*b*x^3 + a^5)/x^18","B",0
271,1,59,0,1.333235," ","integrate((b*x^3+a)^5/x^22,x, algorithm=""maxima"")","-\frac{21 \, b^{5} x^{15} + 70 \, a b^{4} x^{12} + 105 \, a^{2} b^{3} x^{9} + 84 \, a^{3} b^{2} x^{6} + 35 \, a^{4} b x^{3} + 6 \, a^{5}}{126 \, x^{21}}"," ",0,"-1/126*(21*b^5*x^15 + 70*a*b^4*x^12 + 105*a^2*b^3*x^9 + 84*a^3*b^2*x^6 + 35*a^4*b*x^3 + 6*a^5)/x^21","A",0
272,1,59,0,1.320484," ","integrate((b*x^3+a)^5/x^25,x, algorithm=""maxima"")","-\frac{56 \, b^{5} x^{15} + 210 \, a b^{4} x^{12} + 336 \, a^{2} b^{3} x^{9} + 280 \, a^{3} b^{2} x^{6} + 120 \, a^{4} b x^{3} + 21 \, a^{5}}{504 \, x^{24}}"," ",0,"-1/504*(56*b^5*x^15 + 210*a*b^4*x^12 + 336*a^2*b^3*x^9 + 280*a^3*b^2*x^6 + 120*a^4*b*x^3 + 21*a^5)/x^24","A",0
273,1,59,0,1.330569," ","integrate((b*x^3+a)^5/x^28,x, algorithm=""maxima"")","-\frac{126 \, b^{5} x^{15} + 504 \, a b^{4} x^{12} + 840 \, a^{2} b^{3} x^{9} + 720 \, a^{3} b^{2} x^{6} + 315 \, a^{4} b x^{3} + 56 \, a^{5}}{1512 \, x^{27}}"," ",0,"-1/1512*(126*b^5*x^15 + 504*a*b^4*x^12 + 840*a^2*b^3*x^9 + 720*a^3*b^2*x^6 + 315*a^4*b*x^3 + 56*a^5)/x^27","A",0
274,1,59,0,1.344687," ","integrate((b*x^3+a)^5/x^31,x, algorithm=""maxima"")","-\frac{252 \, b^{5} x^{15} + 1050 \, a b^{4} x^{12} + 1800 \, a^{2} b^{3} x^{9} + 1575 \, a^{3} b^{2} x^{6} + 700 \, a^{4} b x^{3} + 126 \, a^{5}}{3780 \, x^{30}}"," ",0,"-1/3780*(252*b^5*x^15 + 1050*a*b^4*x^12 + 1800*a^2*b^3*x^9 + 1575*a^3*b^2*x^6 + 700*a^4*b*x^3 + 126*a^5)/x^30","A",0
275,1,57,0,1.348239," ","integrate(x^4*(b*x^3+a)^5,x, algorithm=""maxima"")","\frac{1}{20} \, b^{5} x^{20} + \frac{5}{17} \, a b^{4} x^{17} + \frac{5}{7} \, a^{2} b^{3} x^{14} + \frac{10}{11} \, a^{3} b^{2} x^{11} + \frac{5}{8} \, a^{4} b x^{8} + \frac{1}{5} \, a^{5} x^{5}"," ",0,"1/20*b^5*x^20 + 5/17*a*b^4*x^17 + 5/7*a^2*b^3*x^14 + 10/11*a^3*b^2*x^11 + 5/8*a^4*b*x^8 + 1/5*a^5*x^5","A",0
276,1,56,0,1.324122," ","integrate(x^3*(b*x^3+a)^5,x, algorithm=""maxima"")","\frac{1}{19} \, b^{5} x^{19} + \frac{5}{16} \, a b^{4} x^{16} + \frac{10}{13} \, a^{2} b^{3} x^{13} + a^{3} b^{2} x^{10} + \frac{5}{7} \, a^{4} b x^{7} + \frac{1}{4} \, a^{5} x^{4}"," ",0,"1/19*b^5*x^19 + 5/16*a*b^4*x^16 + 10/13*a^2*b^3*x^13 + a^3*b^2*x^10 + 5/7*a^4*b*x^7 + 1/4*a^5*x^4","A",0
277,1,56,0,1.325997," ","integrate(x*(b*x^3+a)^5,x, algorithm=""maxima"")","\frac{1}{17} \, b^{5} x^{17} + \frac{5}{14} \, a b^{4} x^{14} + \frac{10}{11} \, a^{2} b^{3} x^{11} + \frac{5}{4} \, a^{3} b^{2} x^{8} + a^{4} b x^{5} + \frac{1}{2} \, a^{5} x^{2}"," ",0,"1/17*b^5*x^17 + 5/14*a*b^4*x^14 + 10/11*a^2*b^3*x^11 + 5/4*a^3*b^2*x^8 + a^4*b*x^5 + 1/2*a^5*x^2","A",0
278,1,53,0,1.286005," ","integrate((b*x^3+a)^5,x, algorithm=""maxima"")","\frac{1}{16} \, b^{5} x^{16} + \frac{5}{13} \, a b^{4} x^{13} + a^{2} b^{3} x^{10} + \frac{10}{7} \, a^{3} b^{2} x^{7} + \frac{5}{4} \, a^{4} b x^{4} + a^{5} x"," ",0,"1/16*b^5*x^16 + 5/13*a*b^4*x^13 + a^2*b^3*x^10 + 10/7*a^3*b^2*x^7 + 5/4*a^4*b*x^4 + a^5*x","A",0
279,1,57,0,1.285573," ","integrate((b*x^3+a)^5/x^2,x, algorithm=""maxima"")","\frac{1}{14} \, b^{5} x^{14} + \frac{5}{11} \, a b^{4} x^{11} + \frac{5}{4} \, a^{2} b^{3} x^{8} + 2 \, a^{3} b^{2} x^{5} + \frac{5}{2} \, a^{4} b x^{2} - \frac{a^{5}}{x}"," ",0,"1/14*b^5*x^14 + 5/11*a*b^4*x^11 + 5/4*a^2*b^3*x^8 + 2*a^3*b^2*x^5 + 5/2*a^4*b*x^2 - a^5/x","A",0
280,1,55,0,1.319802," ","integrate((b*x^3+a)^5/x^3,x, algorithm=""maxima"")","\frac{1}{13} \, b^{5} x^{13} + \frac{1}{2} \, a b^{4} x^{10} + \frac{10}{7} \, a^{2} b^{3} x^{7} + \frac{5}{2} \, a^{3} b^{2} x^{4} + 5 \, a^{4} b x - \frac{a^{5}}{2 \, x^{2}}"," ",0,"1/13*b^5*x^13 + 1/2*a*b^4*x^10 + 10/7*a^2*b^3*x^7 + 5/2*a^3*b^2*x^4 + 5*a^4*b*x - 1/2*a^5/x^2","A",0
281,1,58,0,1.353400," ","integrate((b*x^3+a)^5/x^5,x, algorithm=""maxima"")","\frac{1}{11} \, b^{5} x^{11} + \frac{5}{8} \, a b^{4} x^{8} + 2 \, a^{2} b^{3} x^{5} + 5 \, a^{3} b^{2} x^{2} - \frac{20 \, a^{4} b x^{3} + a^{5}}{4 \, x^{4}}"," ",0,"1/11*b^5*x^11 + 5/8*a*b^4*x^8 + 2*a^2*b^3*x^5 + 5*a^3*b^2*x^2 - 1/4*(20*a^4*b*x^3 + a^5)/x^4","A",0
282,1,58,0,1.303525," ","integrate((b*x^3+a)^5/x^6,x, algorithm=""maxima"")","\frac{1}{10} \, b^{5} x^{10} + \frac{5}{7} \, a b^{4} x^{7} + \frac{5}{2} \, a^{2} b^{3} x^{4} + 10 \, a^{3} b^{2} x - \frac{25 \, a^{4} b x^{3} + 2 \, a^{5}}{10 \, x^{5}}"," ",0,"1/10*b^5*x^10 + 5/7*a*b^4*x^7 + 5/2*a^2*b^3*x^4 + 10*a^3*b^2*x - 1/10*(25*a^4*b*x^3 + 2*a^5)/x^5","A",0
283,1,59,0,1.304438," ","integrate((b*x^3+a)^5/x^8,x, algorithm=""maxima"")","\frac{1}{8} \, b^{5} x^{8} + a b^{4} x^{5} + 5 \, a^{2} b^{3} x^{2} - \frac{280 \, a^{3} b^{2} x^{6} + 35 \, a^{4} b x^{3} + 4 \, a^{5}}{28 \, x^{7}}"," ",0,"1/8*b^5*x^8 + a*b^4*x^5 + 5*a^2*b^3*x^2 - 1/28*(280*a^3*b^2*x^6 + 35*a^4*b*x^3 + 4*a^5)/x^7","A",0
284,1,56,0,1.346510," ","integrate((b*x^3+a)^5/x^9,x, algorithm=""maxima"")","\frac{1}{7} \, b^{5} x^{7} + \frac{5}{4} \, a b^{4} x^{4} + 10 \, a^{2} b^{3} x - \frac{40 \, a^{3} b^{2} x^{6} + 8 \, a^{4} b x^{3} + a^{5}}{8 \, x^{8}}"," ",0,"1/7*b^5*x^7 + 5/4*a*b^4*x^4 + 10*a^2*b^3*x - 1/8*(40*a^3*b^2*x^6 + 8*a^4*b*x^3 + a^5)/x^8","A",0
285,1,90,0,1.290534," ","integrate(x^20*(b*x^3+a)^8,x, algorithm=""maxima"")","\frac{1}{45} \, b^{8} x^{45} + \frac{4}{21} \, a b^{7} x^{42} + \frac{28}{39} \, a^{2} b^{6} x^{39} + \frac{14}{9} \, a^{3} b^{5} x^{36} + \frac{70}{33} \, a^{4} b^{4} x^{33} + \frac{28}{15} \, a^{5} b^{3} x^{30} + \frac{28}{27} \, a^{6} b^{2} x^{27} + \frac{1}{3} \, a^{7} b x^{24} + \frac{1}{21} \, a^{8} x^{21}"," ",0,"1/45*b^8*x^45 + 4/21*a*b^7*x^42 + 28/39*a^2*b^6*x^39 + 14/9*a^3*b^5*x^36 + 70/33*a^4*b^4*x^33 + 28/15*a^5*b^3*x^30 + 28/27*a^6*b^2*x^27 + 1/3*a^7*b*x^24 + 1/21*a^8*x^21","A",0
286,1,90,0,1.340181," ","integrate(x^17*(b*x^3+a)^8,x, algorithm=""maxima"")","\frac{1}{42} \, b^{8} x^{42} + \frac{8}{39} \, a b^{7} x^{39} + \frac{7}{9} \, a^{2} b^{6} x^{36} + \frac{56}{33} \, a^{3} b^{5} x^{33} + \frac{7}{3} \, a^{4} b^{4} x^{30} + \frac{56}{27} \, a^{5} b^{3} x^{27} + \frac{7}{6} \, a^{6} b^{2} x^{24} + \frac{8}{21} \, a^{7} b x^{21} + \frac{1}{18} \, a^{8} x^{18}"," ",0,"1/42*b^8*x^42 + 8/39*a*b^7*x^39 + 7/9*a^2*b^6*x^36 + 56/33*a^3*b^5*x^33 + 7/3*a^4*b^4*x^30 + 56/27*a^5*b^3*x^27 + 7/6*a^6*b^2*x^24 + 8/21*a^7*b*x^21 + 1/18*a^8*x^18","A",0
287,1,90,0,1.339439," ","integrate(x^14*(b*x^3+a)^8,x, algorithm=""maxima"")","\frac{1}{39} \, b^{8} x^{39} + \frac{2}{9} \, a b^{7} x^{36} + \frac{28}{33} \, a^{2} b^{6} x^{33} + \frac{28}{15} \, a^{3} b^{5} x^{30} + \frac{70}{27} \, a^{4} b^{4} x^{27} + \frac{7}{3} \, a^{5} b^{3} x^{24} + \frac{4}{3} \, a^{6} b^{2} x^{21} + \frac{4}{9} \, a^{7} b x^{18} + \frac{1}{15} \, a^{8} x^{15}"," ",0,"1/39*b^8*x^39 + 2/9*a*b^7*x^36 + 28/33*a^2*b^6*x^33 + 28/15*a^3*b^5*x^30 + 70/27*a^4*b^4*x^27 + 7/3*a^5*b^3*x^24 + 4/3*a^6*b^2*x^21 + 4/9*a^7*b*x^18 + 1/15*a^8*x^15","A",0
288,1,90,0,1.346893," ","integrate(x^11*(b*x^3+a)^8,x, algorithm=""maxima"")","\frac{1}{36} \, b^{8} x^{36} + \frac{8}{33} \, a b^{7} x^{33} + \frac{14}{15} \, a^{2} b^{6} x^{30} + \frac{56}{27} \, a^{3} b^{5} x^{27} + \frac{35}{12} \, a^{4} b^{4} x^{24} + \frac{8}{3} \, a^{5} b^{3} x^{21} + \frac{14}{9} \, a^{6} b^{2} x^{18} + \frac{8}{15} \, a^{7} b x^{15} + \frac{1}{12} \, a^{8} x^{12}"," ",0,"1/36*b^8*x^36 + 8/33*a*b^7*x^33 + 14/15*a^2*b^6*x^30 + 56/27*a^3*b^5*x^27 + 35/12*a^4*b^4*x^24 + 8/3*a^5*b^3*x^21 + 14/9*a^6*b^2*x^18 + 8/15*a^7*b*x^15 + 1/12*a^8*x^12","A",0
289,1,90,0,1.321142," ","integrate(x^8*(b*x^3+a)^8,x, algorithm=""maxima"")","\frac{1}{33} \, b^{8} x^{33} + \frac{4}{15} \, a b^{7} x^{30} + \frac{28}{27} \, a^{2} b^{6} x^{27} + \frac{7}{3} \, a^{3} b^{5} x^{24} + \frac{10}{3} \, a^{4} b^{4} x^{21} + \frac{28}{9} \, a^{5} b^{3} x^{18} + \frac{28}{15} \, a^{6} b^{2} x^{15} + \frac{2}{3} \, a^{7} b x^{12} + \frac{1}{9} \, a^{8} x^{9}"," ",0,"1/33*b^8*x^33 + 4/15*a*b^7*x^30 + 28/27*a^2*b^6*x^27 + 7/3*a^3*b^5*x^24 + 10/3*a^4*b^4*x^21 + 28/9*a^5*b^3*x^18 + 28/15*a^6*b^2*x^15 + 2/3*a^7*b*x^12 + 1/9*a^8*x^9","A",0
290,1,90,0,1.327438," ","integrate(x^5*(b*x^3+a)^8,x, algorithm=""maxima"")","\frac{1}{30} \, b^{8} x^{30} + \frac{8}{27} \, a b^{7} x^{27} + \frac{7}{6} \, a^{2} b^{6} x^{24} + \frac{8}{3} \, a^{3} b^{5} x^{21} + \frac{35}{9} \, a^{4} b^{4} x^{18} + \frac{56}{15} \, a^{5} b^{3} x^{15} + \frac{7}{3} \, a^{6} b^{2} x^{12} + \frac{8}{9} \, a^{7} b x^{9} + \frac{1}{6} \, a^{8} x^{6}"," ",0,"1/30*b^8*x^30 + 8/27*a*b^7*x^27 + 7/6*a^2*b^6*x^24 + 8/3*a^3*b^5*x^21 + 35/9*a^4*b^4*x^18 + 56/15*a^5*b^3*x^15 + 7/3*a^6*b^2*x^12 + 8/9*a^7*b*x^9 + 1/6*a^8*x^6","B",0
291,1,14,0,1.265387," ","integrate(x^2*(b*x^3+a)^8,x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{9}}{27 \, b}"," ",0,"1/27*(b*x^3 + a)^9/b","A",0
292,1,91,0,1.282336," ","integrate((b*x^3+a)^8/x,x, algorithm=""maxima"")","\frac{1}{24} \, b^{8} x^{24} + \frac{8}{21} \, a b^{7} x^{21} + \frac{14}{9} \, a^{2} b^{6} x^{18} + \frac{56}{15} \, a^{3} b^{5} x^{15} + \frac{35}{6} \, a^{4} b^{4} x^{12} + \frac{56}{9} \, a^{5} b^{3} x^{9} + \frac{14}{3} \, a^{6} b^{2} x^{6} + \frac{8}{3} \, a^{7} b x^{3} + \frac{1}{3} \, a^{8} \log\left(x^{3}\right)"," ",0,"1/24*b^8*x^24 + 8/21*a*b^7*x^21 + 14/9*a^2*b^6*x^18 + 56/15*a^3*b^5*x^15 + 35/6*a^4*b^4*x^12 + 56/9*a^5*b^3*x^9 + 14/3*a^6*b^2*x^6 + 8/3*a^7*b*x^3 + 1/3*a^8*log(x^3)","A",0
293,1,91,0,1.302701," ","integrate((b*x^3+a)^8/x^4,x, algorithm=""maxima"")","\frac{1}{21} \, b^{8} x^{21} + \frac{4}{9} \, a b^{7} x^{18} + \frac{28}{15} \, a^{2} b^{6} x^{15} + \frac{14}{3} \, a^{3} b^{5} x^{12} + \frac{70}{9} \, a^{4} b^{4} x^{9} + \frac{28}{3} \, a^{5} b^{3} x^{6} + \frac{28}{3} \, a^{6} b^{2} x^{3} + \frac{8}{3} \, a^{7} b \log\left(x^{3}\right) - \frac{a^{8}}{3 \, x^{3}}"," ",0,"1/21*b^8*x^21 + 4/9*a*b^7*x^18 + 28/15*a^2*b^6*x^15 + 14/3*a^3*b^5*x^12 + 70/9*a^4*b^4*x^9 + 28/3*a^5*b^3*x^6 + 28/3*a^6*b^2*x^3 + 8/3*a^7*b*log(x^3) - 1/3*a^8/x^3","A",0
294,1,92,0,1.350802," ","integrate((b*x^3+a)^8/x^7,x, algorithm=""maxima"")","\frac{1}{18} \, b^{8} x^{18} + \frac{8}{15} \, a b^{7} x^{15} + \frac{7}{3} \, a^{2} b^{6} x^{12} + \frac{56}{9} \, a^{3} b^{5} x^{9} + \frac{35}{3} \, a^{4} b^{4} x^{6} + \frac{56}{3} \, a^{5} b^{3} x^{3} + \frac{28}{3} \, a^{6} b^{2} \log\left(x^{3}\right) - \frac{16 \, a^{7} b x^{3} + a^{8}}{6 \, x^{6}}"," ",0,"1/18*b^8*x^18 + 8/15*a*b^7*x^15 + 7/3*a^2*b^6*x^12 + 56/9*a^3*b^5*x^9 + 35/3*a^4*b^4*x^6 + 56/3*a^5*b^3*x^3 + 28/3*a^6*b^2*log(x^3) - 1/6*(16*a^7*b*x^3 + a^8)/x^6","A",0
295,1,92,0,1.299220," ","integrate((b*x^3+a)^8/x^10,x, algorithm=""maxima"")","\frac{1}{15} \, b^{8} x^{15} + \frac{2}{3} \, a b^{7} x^{12} + \frac{28}{9} \, a^{2} b^{6} x^{9} + \frac{28}{3} \, a^{3} b^{5} x^{6} + \frac{70}{3} \, a^{4} b^{4} x^{3} + \frac{56}{3} \, a^{5} b^{3} \log\left(x^{3}\right) - \frac{84 \, a^{6} b^{2} x^{6} + 12 \, a^{7} b x^{3} + a^{8}}{9 \, x^{9}}"," ",0,"1/15*b^8*x^15 + 2/3*a*b^7*x^12 + 28/9*a^2*b^6*x^9 + 28/3*a^3*b^5*x^6 + 70/3*a^4*b^4*x^3 + 56/3*a^5*b^3*log(x^3) - 1/9*(84*a^6*b^2*x^6 + 12*a^7*b*x^3 + a^8)/x^9","A",0
296,1,94,0,1.305045," ","integrate((b*x^3+a)^8/x^13,x, algorithm=""maxima"")","\frac{1}{12} \, b^{8} x^{12} + \frac{8}{9} \, a b^{7} x^{9} + \frac{14}{3} \, a^{2} b^{6} x^{6} + \frac{56}{3} \, a^{3} b^{5} x^{3} + \frac{70}{3} \, a^{4} b^{4} \log\left(x^{3}\right) - \frac{672 \, a^{5} b^{3} x^{9} + 168 \, a^{6} b^{2} x^{6} + 32 \, a^{7} b x^{3} + 3 \, a^{8}}{36 \, x^{12}}"," ",0,"1/12*b^8*x^12 + 8/9*a*b^7*x^9 + 14/3*a^2*b^6*x^6 + 56/3*a^3*b^5*x^3 + 70/3*a^4*b^4*log(x^3) - 1/36*(672*a^5*b^3*x^9 + 168*a^6*b^2*x^6 + 32*a^7*b*x^3 + 3*a^8)/x^12","A",0
297,1,94,0,1.321819," ","integrate((b*x^3+a)^8/x^16,x, algorithm=""maxima"")","\frac{1}{9} \, b^{8} x^{9} + \frac{4}{3} \, a b^{7} x^{6} + \frac{28}{3} \, a^{2} b^{6} x^{3} + \frac{56}{3} \, a^{3} b^{5} \log\left(x^{3}\right) - \frac{1050 \, a^{4} b^{4} x^{12} + 420 \, a^{5} b^{3} x^{9} + 140 \, a^{6} b^{2} x^{6} + 30 \, a^{7} b x^{3} + 3 \, a^{8}}{45 \, x^{15}}"," ",0,"1/9*b^8*x^9 + 4/3*a*b^7*x^6 + 28/3*a^2*b^6*x^3 + 56/3*a^3*b^5*log(x^3) - 1/45*(1050*a^4*b^4*x^12 + 420*a^5*b^3*x^9 + 140*a^6*b^2*x^6 + 30*a^7*b*x^3 + 3*a^8)/x^15","A",0
298,1,94,0,1.358613," ","integrate((b*x^3+a)^8/x^19,x, algorithm=""maxima"")","\frac{1}{6} \, b^{8} x^{6} + \frac{8}{3} \, a b^{7} x^{3} + \frac{28}{3} \, a^{2} b^{6} \log\left(x^{3}\right) - \frac{1680 \, a^{3} b^{5} x^{15} + 1050 \, a^{4} b^{4} x^{12} + 560 \, a^{5} b^{3} x^{9} + 210 \, a^{6} b^{2} x^{6} + 48 \, a^{7} b x^{3} + 5 \, a^{8}}{90 \, x^{18}}"," ",0,"1/6*b^8*x^6 + 8/3*a*b^7*x^3 + 28/3*a^2*b^6*log(x^3) - 1/90*(1680*a^3*b^5*x^15 + 1050*a^4*b^4*x^12 + 560*a^5*b^3*x^9 + 210*a^6*b^2*x^6 + 48*a^7*b*x^3 + 5*a^8)/x^18","A",0
299,1,94,0,1.388419," ","integrate((b*x^3+a)^8/x^22,x, algorithm=""maxima"")","\frac{1}{3} \, b^{8} x^{3} + \frac{8}{3} \, a b^{7} \log\left(x^{3}\right) - \frac{2940 \, a^{2} b^{6} x^{18} + 2940 \, a^{3} b^{5} x^{15} + 2450 \, a^{4} b^{4} x^{12} + 1470 \, a^{5} b^{3} x^{9} + 588 \, a^{6} b^{2} x^{6} + 140 \, a^{7} b x^{3} + 15 \, a^{8}}{315 \, x^{21}}"," ",0,"1/3*b^8*x^3 + 8/3*a*b^7*log(x^3) - 1/315*(2940*a^2*b^6*x^18 + 2940*a^3*b^5*x^15 + 2450*a^4*b^4*x^12 + 1470*a^5*b^3*x^9 + 588*a^6*b^2*x^6 + 140*a^7*b*x^3 + 15*a^8)/x^21","A",0
300,1,94,0,1.326282," ","integrate((b*x^3+a)^8/x^25,x, algorithm=""maxima"")","\frac{1}{3} \, b^{8} \log\left(x^{3}\right) - \frac{6720 \, a b^{7} x^{21} + 11760 \, a^{2} b^{6} x^{18} + 15680 \, a^{3} b^{5} x^{15} + 14700 \, a^{4} b^{4} x^{12} + 9408 \, a^{5} b^{3} x^{9} + 3920 \, a^{6} b^{2} x^{6} + 960 \, a^{7} b x^{3} + 105 \, a^{8}}{2520 \, x^{24}}"," ",0,"1/3*b^8*log(x^3) - 1/2520*(6720*a*b^7*x^21 + 11760*a^2*b^6*x^18 + 15680*a^3*b^5*x^15 + 14700*a^4*b^4*x^12 + 9408*a^5*b^3*x^9 + 3920*a^6*b^2*x^6 + 960*a^7*b*x^3 + 105*a^8)/x^24","A",0
301,1,90,0,1.347633," ","integrate((b*x^3+a)^8/x^28,x, algorithm=""maxima"")","-\frac{9 \, b^{8} x^{24} + 36 \, a b^{7} x^{21} + 84 \, a^{2} b^{6} x^{18} + 126 \, a^{3} b^{5} x^{15} + 126 \, a^{4} b^{4} x^{12} + 84 \, a^{5} b^{3} x^{9} + 36 \, a^{6} b^{2} x^{6} + 9 \, a^{7} b x^{3} + a^{8}}{27 \, x^{27}}"," ",0,"-1/27*(9*b^8*x^24 + 36*a*b^7*x^21 + 84*a^2*b^6*x^18 + 126*a^3*b^5*x^15 + 126*a^4*b^4*x^12 + 84*a^5*b^3*x^9 + 36*a^6*b^2*x^6 + 9*a^7*b*x^3 + a^8)/x^27","B",0
302,1,92,0,1.290847," ","integrate((b*x^3+a)^8/x^31,x, algorithm=""maxima"")","-\frac{45 \, b^{8} x^{24} + 240 \, a b^{7} x^{21} + 630 \, a^{2} b^{6} x^{18} + 1008 \, a^{3} b^{5} x^{15} + 1050 \, a^{4} b^{4} x^{12} + 720 \, a^{5} b^{3} x^{9} + 315 \, a^{6} b^{2} x^{6} + 80 \, a^{7} b x^{3} + 9 \, a^{8}}{270 \, x^{30}}"," ",0,"-1/270*(45*b^8*x^24 + 240*a*b^7*x^21 + 630*a^2*b^6*x^18 + 1008*a^3*b^5*x^15 + 1050*a^4*b^4*x^12 + 720*a^5*b^3*x^9 + 315*a^6*b^2*x^6 + 80*a^7*b*x^3 + 9*a^8)/x^30","B",0
303,1,92,0,1.368392," ","integrate((b*x^3+a)^8/x^34,x, algorithm=""maxima"")","-\frac{165 \, b^{8} x^{24} + 990 \, a b^{7} x^{21} + 2772 \, a^{2} b^{6} x^{18} + 4620 \, a^{3} b^{5} x^{15} + 4950 \, a^{4} b^{4} x^{12} + 3465 \, a^{5} b^{3} x^{9} + 1540 \, a^{6} b^{2} x^{6} + 396 \, a^{7} b x^{3} + 45 \, a^{8}}{1485 \, x^{33}}"," ",0,"-1/1485*(165*b^8*x^24 + 990*a*b^7*x^21 + 2772*a^2*b^6*x^18 + 4620*a^3*b^5*x^15 + 4950*a^4*b^4*x^12 + 3465*a^5*b^3*x^9 + 1540*a^6*b^2*x^6 + 396*a^7*b*x^3 + 45*a^8)/x^33","A",0
304,1,92,0,1.368044," ","integrate((b*x^3+a)^8/x^37,x, algorithm=""maxima"")","-\frac{495 \, b^{8} x^{24} + 3168 \, a b^{7} x^{21} + 9240 \, a^{2} b^{6} x^{18} + 15840 \, a^{3} b^{5} x^{15} + 17325 \, a^{4} b^{4} x^{12} + 12320 \, a^{5} b^{3} x^{9} + 5544 \, a^{6} b^{2} x^{6} + 1440 \, a^{7} b x^{3} + 165 \, a^{8}}{5940 \, x^{36}}"," ",0,"-1/5940*(495*b^8*x^24 + 3168*a*b^7*x^21 + 9240*a^2*b^6*x^18 + 15840*a^3*b^5*x^15 + 17325*a^4*b^4*x^12 + 12320*a^5*b^3*x^9 + 5544*a^6*b^2*x^6 + 1440*a^7*b*x^3 + 165*a^8)/x^36","A",0
305,1,92,0,1.356101," ","integrate((b*x^3+a)^8/x^40,x, algorithm=""maxima"")","-\frac{1287 \, b^{8} x^{24} + 8580 \, a b^{7} x^{21} + 25740 \, a^{2} b^{6} x^{18} + 45045 \, a^{3} b^{5} x^{15} + 50050 \, a^{4} b^{4} x^{12} + 36036 \, a^{5} b^{3} x^{9} + 16380 \, a^{6} b^{2} x^{6} + 4290 \, a^{7} b x^{3} + 495 \, a^{8}}{19305 \, x^{39}}"," ",0,"-1/19305*(1287*b^8*x^24 + 8580*a*b^7*x^21 + 25740*a^2*b^6*x^18 + 45045*a^3*b^5*x^15 + 50050*a^4*b^4*x^12 + 36036*a^5*b^3*x^9 + 16380*a^6*b^2*x^6 + 4290*a^7*b*x^3 + 495*a^8)/x^39","A",0
306,1,92,0,1.363056," ","integrate((b*x^3+a)^8/x^43,x, algorithm=""maxima"")","-\frac{3003 \, b^{8} x^{24} + 20592 \, a b^{7} x^{21} + 63063 \, a^{2} b^{6} x^{18} + 112112 \, a^{3} b^{5} x^{15} + 126126 \, a^{4} b^{4} x^{12} + 91728 \, a^{5} b^{3} x^{9} + 42042 \, a^{6} b^{2} x^{6} + 11088 \, a^{7} b x^{3} + 1287 \, a^{8}}{54054 \, x^{42}}"," ",0,"-1/54054*(3003*b^8*x^24 + 20592*a*b^7*x^21 + 63063*a^2*b^6*x^18 + 112112*a^3*b^5*x^15 + 126126*a^4*b^4*x^12 + 91728*a^5*b^3*x^9 + 42042*a^6*b^2*x^6 + 11088*a^7*b*x^3 + 1287*a^8)/x^42","A",0
307,1,92,0,1.293637," ","integrate((b*x^3+a)^8/x^46,x, algorithm=""maxima"")","-\frac{6435 \, b^{8} x^{24} + 45045 \, a b^{7} x^{21} + 140140 \, a^{2} b^{6} x^{18} + 252252 \, a^{3} b^{5} x^{15} + 286650 \, a^{4} b^{4} x^{12} + 210210 \, a^{5} b^{3} x^{9} + 97020 \, a^{6} b^{2} x^{6} + 25740 \, a^{7} b x^{3} + 3003 \, a^{8}}{135135 \, x^{45}}"," ",0,"-1/135135*(6435*b^8*x^24 + 45045*a*b^7*x^21 + 140140*a^2*b^6*x^18 + 252252*a^3*b^5*x^15 + 286650*a^4*b^4*x^12 + 210210*a^5*b^3*x^9 + 97020*a^6*b^2*x^6 + 25740*a^7*b*x^3 + 3003*a^8)/x^45","A",0
308,1,89,0,1.299952," ","integrate(x^4*(b*x^3+a)^8,x, algorithm=""maxima"")","\frac{1}{29} \, b^{8} x^{29} + \frac{4}{13} \, a b^{7} x^{26} + \frac{28}{23} \, a^{2} b^{6} x^{23} + \frac{14}{5} \, a^{3} b^{5} x^{20} + \frac{70}{17} \, a^{4} b^{4} x^{17} + 4 \, a^{5} b^{3} x^{14} + \frac{28}{11} \, a^{6} b^{2} x^{11} + a^{7} b x^{8} + \frac{1}{5} \, a^{8} x^{5}"," ",0,"1/29*b^8*x^29 + 4/13*a*b^7*x^26 + 28/23*a^2*b^6*x^23 + 14/5*a^3*b^5*x^20 + 70/17*a^4*b^4*x^17 + 4*a^5*b^3*x^14 + 28/11*a^6*b^2*x^11 + a^7*b*x^8 + 1/5*a^8*x^5","A",0
309,1,90,0,1.296268," ","integrate(x^3*(b*x^3+a)^8,x, algorithm=""maxima"")","\frac{1}{28} \, b^{8} x^{28} + \frac{8}{25} \, a b^{7} x^{25} + \frac{14}{11} \, a^{2} b^{6} x^{22} + \frac{56}{19} \, a^{3} b^{5} x^{19} + \frac{35}{8} \, a^{4} b^{4} x^{16} + \frac{56}{13} \, a^{5} b^{3} x^{13} + \frac{14}{5} \, a^{6} b^{2} x^{10} + \frac{8}{7} \, a^{7} b x^{7} + \frac{1}{4} \, a^{8} x^{4}"," ",0,"1/28*b^8*x^28 + 8/25*a*b^7*x^25 + 14/11*a^2*b^6*x^22 + 56/19*a^3*b^5*x^19 + 35/8*a^4*b^4*x^16 + 56/13*a^5*b^3*x^13 + 14/5*a^6*b^2*x^10 + 8/7*a^7*b*x^7 + 1/4*a^8*x^4","A",0
310,1,90,0,1.325832," ","integrate(x*(b*x^3+a)^8,x, algorithm=""maxima"")","\frac{1}{26} \, b^{8} x^{26} + \frac{8}{23} \, a b^{7} x^{23} + \frac{7}{5} \, a^{2} b^{6} x^{20} + \frac{56}{17} \, a^{3} b^{5} x^{17} + 5 \, a^{4} b^{4} x^{14} + \frac{56}{11} \, a^{5} b^{3} x^{11} + \frac{7}{2} \, a^{6} b^{2} x^{8} + \frac{8}{5} \, a^{7} b x^{5} + \frac{1}{2} \, a^{8} x^{2}"," ",0,"1/26*b^8*x^26 + 8/23*a*b^7*x^23 + 7/5*a^2*b^6*x^20 + 56/17*a^3*b^5*x^17 + 5*a^4*b^4*x^14 + 56/11*a^5*b^3*x^11 + 7/2*a^6*b^2*x^8 + 8/5*a^7*b*x^5 + 1/2*a^8*x^2","A",0
311,1,87,0,1.264102," ","integrate((b*x^3+a)^8,x, algorithm=""maxima"")","\frac{1}{25} \, b^{8} x^{25} + \frac{4}{11} \, a b^{7} x^{22} + \frac{28}{19} \, a^{2} b^{6} x^{19} + \frac{7}{2} \, a^{3} b^{5} x^{16} + \frac{70}{13} \, a^{4} b^{4} x^{13} + \frac{28}{5} \, a^{5} b^{3} x^{10} + 4 \, a^{6} b^{2} x^{7} + 2 \, a^{7} b x^{4} + a^{8} x"," ",0,"1/25*b^8*x^25 + 4/11*a*b^7*x^22 + 28/19*a^2*b^6*x^19 + 7/2*a^3*b^5*x^16 + 70/13*a^4*b^4*x^13 + 28/5*a^5*b^3*x^10 + 4*a^6*b^2*x^7 + 2*a^7*b*x^4 + a^8*x","A",0
312,1,90,0,1.330354," ","integrate((b*x^3+a)^8/x^2,x, algorithm=""maxima"")","\frac{1}{23} \, b^{8} x^{23} + \frac{2}{5} \, a b^{7} x^{20} + \frac{28}{17} \, a^{2} b^{6} x^{17} + 4 \, a^{3} b^{5} x^{14} + \frac{70}{11} \, a^{4} b^{4} x^{11} + 7 \, a^{5} b^{3} x^{8} + \frac{28}{5} \, a^{6} b^{2} x^{5} + 4 \, a^{7} b x^{2} - \frac{a^{8}}{x}"," ",0,"1/23*b^8*x^23 + 2/5*a*b^7*x^20 + 28/17*a^2*b^6*x^17 + 4*a^3*b^5*x^14 + 70/11*a^4*b^4*x^11 + 7*a^5*b^3*x^8 + 28/5*a^6*b^2*x^5 + 4*a^7*b*x^2 - a^8/x","A",0
313,1,88,0,1.340272," ","integrate((b*x^3+a)^8/x^3,x, algorithm=""maxima"")","\frac{1}{22} \, b^{8} x^{22} + \frac{8}{19} \, a b^{7} x^{19} + \frac{7}{4} \, a^{2} b^{6} x^{16} + \frac{56}{13} \, a^{3} b^{5} x^{13} + 7 \, a^{4} b^{4} x^{10} + 8 \, a^{5} b^{3} x^{7} + 7 \, a^{6} b^{2} x^{4} + 8 \, a^{7} b x - \frac{a^{8}}{2 \, x^{2}}"," ",0,"1/22*b^8*x^22 + 8/19*a*b^7*x^19 + 7/4*a^2*b^6*x^16 + 56/13*a^3*b^5*x^13 + 7*a^4*b^4*x^10 + 8*a^5*b^3*x^7 + 7*a^6*b^2*x^4 + 8*a^7*b*x - 1/2*a^8/x^2","A",0
314,1,91,0,1.331736," ","integrate((b*x^3+a)^8/x^5,x, algorithm=""maxima"")","\frac{1}{20} \, b^{8} x^{20} + \frac{8}{17} \, a b^{7} x^{17} + 2 \, a^{2} b^{6} x^{14} + \frac{56}{11} \, a^{3} b^{5} x^{11} + \frac{35}{4} \, a^{4} b^{4} x^{8} + \frac{56}{5} \, a^{5} b^{3} x^{5} + 14 \, a^{6} b^{2} x^{2} - \frac{32 \, a^{7} b x^{3} + a^{8}}{4 \, x^{4}}"," ",0,"1/20*b^8*x^20 + 8/17*a*b^7*x^17 + 2*a^2*b^6*x^14 + 56/11*a^3*b^5*x^11 + 35/4*a^4*b^4*x^8 + 56/5*a^5*b^3*x^5 + 14*a^6*b^2*x^2 - 1/4*(32*a^7*b*x^3 + a^8)/x^4","A",0
315,1,89,0,1.359751," ","integrate((b*x^3+a)^8/x^6,x, algorithm=""maxima"")","\frac{1}{19} \, b^{8} x^{19} + \frac{1}{2} \, a b^{7} x^{16} + \frac{28}{13} \, a^{2} b^{6} x^{13} + \frac{28}{5} \, a^{3} b^{5} x^{10} + 10 \, a^{4} b^{4} x^{7} + 14 \, a^{5} b^{3} x^{4} + 28 \, a^{6} b^{2} x - \frac{20 \, a^{7} b x^{3} + a^{8}}{5 \, x^{5}}"," ",0,"1/19*b^8*x^19 + 1/2*a*b^7*x^16 + 28/13*a^2*b^6*x^13 + 28/5*a^3*b^5*x^10 + 10*a^4*b^4*x^7 + 14*a^5*b^3*x^4 + 28*a^6*b^2*x - 1/5*(20*a^7*b*x^3 + a^8)/x^5","A",0
316,1,91,0,1.284053," ","integrate((b*x^3+a)^8/x^8,x, algorithm=""maxima"")","\frac{1}{17} \, b^{8} x^{17} + \frac{4}{7} \, a b^{7} x^{14} + \frac{28}{11} \, a^{2} b^{6} x^{11} + 7 \, a^{3} b^{5} x^{8} + 14 \, a^{4} b^{4} x^{5} + 28 \, a^{5} b^{3} x^{2} - \frac{196 \, a^{6} b^{2} x^{6} + 14 \, a^{7} b x^{3} + a^{8}}{7 \, x^{7}}"," ",0,"1/17*b^8*x^17 + 4/7*a*b^7*x^14 + 28/11*a^2*b^6*x^11 + 7*a^3*b^5*x^8 + 14*a^4*b^4*x^5 + 28*a^5*b^3*x^2 - 1/7*(196*a^6*b^2*x^6 + 14*a^7*b*x^3 + a^8)/x^7","A",0
317,1,91,0,1.319283," ","integrate((b*x^3+a)^8/x^9,x, algorithm=""maxima"")","\frac{1}{16} \, b^{8} x^{16} + \frac{8}{13} \, a b^{7} x^{13} + \frac{14}{5} \, a^{2} b^{6} x^{10} + 8 \, a^{3} b^{5} x^{7} + \frac{35}{2} \, a^{4} b^{4} x^{4} + 56 \, a^{5} b^{3} x - \frac{560 \, a^{6} b^{2} x^{6} + 64 \, a^{7} b x^{3} + 5 \, a^{8}}{40 \, x^{8}}"," ",0,"1/16*b^8*x^16 + 8/13*a*b^7*x^13 + 14/5*a^2*b^6*x^10 + 8*a^3*b^5*x^7 + 35/2*a^4*b^4*x^4 + 56*a^5*b^3*x - 1/40*(560*a^6*b^2*x^6 + 64*a^7*b*x^3 + 5*a^8)/x^8","A",0
318,1,34,0,1.319545," ","integrate(x^8/(b*x^3+a),x, algorithm=""maxima"")","\frac{a^{2} \log\left(b x^{3} + a\right)}{3 \, b^{3}} + \frac{b x^{6} - 2 \, a x^{3}}{6 \, b^{2}}"," ",0,"1/3*a^2*log(b*x^3 + a)/b^3 + 1/6*(b*x^6 - 2*a*x^3)/b^2","A",0
319,1,23,0,1.345710," ","integrate(x^5/(b*x^3+a),x, algorithm=""maxima"")","\frac{x^{3}}{3 \, b} - \frac{a \log\left(b x^{3} + a\right)}{3 \, b^{2}}"," ",0,"1/3*x^3/b - 1/3*a*log(b*x^3 + a)/b^2","A",0
320,1,13,0,1.322091," ","integrate(x^2/(b*x^3+a),x, algorithm=""maxima"")","\frac{\log\left(b x^{3} + a\right)}{3 \, b}"," ",0,"1/3*log(b*x^3 + a)/b","A",0
321,1,23,0,1.323005," ","integrate(1/x/(b*x^3+a),x, algorithm=""maxima"")","-\frac{\log\left(b x^{3} + a\right)}{3 \, a} + \frac{\log\left(x^{3}\right)}{3 \, a}"," ",0,"-1/3*log(b*x^3 + a)/a + 1/3*log(x^3)/a","A",0
322,1,33,0,1.292912," ","integrate(1/x^4/(b*x^3+a),x, algorithm=""maxima"")","\frac{b \log\left(b x^{3} + a\right)}{3 \, a^{2}} - \frac{b \log\left(x^{3}\right)}{3 \, a^{2}} - \frac{1}{3 \, a x^{3}}"," ",0,"1/3*b*log(b*x^3 + a)/a^2 - 1/3*b*log(x^3)/a^2 - 1/3/(a*x^3)","A",0
323,1,109,0,2.884926," ","integrate(x^4/(b*x^3+a),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, b} - \frac{\sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{a \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{a \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/2*x^2/b - 1/3*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(1/3)) - 1/6*a*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(1/3)) + 1/3*a*log(x + (a/b)^(1/3))/(b^2*(a/b)^(1/3))","A",0
324,1,106,0,2.916816," ","integrate(x^3/(b*x^3+a),x, algorithm=""maxima"")","\frac{x}{b} - \frac{\sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{a \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{a \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"x/b - 1/3*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(2/3)) + 1/6*a*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(2/3)) - 1/3*a*log(x + (a/b)^(1/3))/(b^2*(a/b)^(2/3))","A",0
325,1,98,0,3.030117," ","integrate(x/(b*x^3+a),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b*(a/b)^(1/3)) + 1/6*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b*(a/b)^(1/3)) - 1/3*log(x + (a/b)^(1/3))/(b*(a/b)^(1/3))","A",0
326,1,98,0,2.928160," ","integrate(1/(b*x^3+a),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b*(a/b)^(2/3)) - 1/6*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b*(a/b)^(2/3)) + 1/3*log(x + (a/b)^(1/3))/(b*(a/b)^(2/3))","A",0
327,1,106,0,3.004369," ","integrate(1/x^2/(b*x^3+a),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, a \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, a \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{1}{a x}"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a*(a/b)^(1/3)) - 1/6*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*(a/b)^(1/3)) + 1/3*log(x + (a/b)^(1/3))/(a*(a/b)^(1/3)) - 1/(a*x)","A",0
328,1,106,0,3.049670," ","integrate(1/x^3/(b*x^3+a),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, a \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, a \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{1}{2 \, a x^{2}}"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a*(a/b)^(2/3)) + 1/6*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*(a/b)^(2/3)) - 1/3*log(x + (a/b)^(1/3))/(a*(a/b)^(2/3)) - 1/2/(a*x^2)","A",0
329,1,43,0,1.371176," ","integrate(x^8/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{a^{2}}{3 \, {\left(b^{4} x^{3} + a b^{3}\right)}} + \frac{x^{3}}{3 \, b^{2}} - \frac{2 \, a \log\left(b x^{3} + a\right)}{3 \, b^{3}}"," ",0,"-1/3*a^2/(b^4*x^3 + a*b^3) + 1/3*x^3/b^2 - 2/3*a*log(b*x^3 + a)/b^3","A",0
330,1,32,0,1.339246," ","integrate(x^5/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{a}{3 \, {\left(b^{3} x^{3} + a b^{2}\right)}} + \frac{\log\left(b x^{3} + a\right)}{3 \, b^{2}}"," ",0,"1/3*a/(b^3*x^3 + a*b^2) + 1/3*log(b*x^3 + a)/b^2","A",0
331,1,14,0,1.303035," ","integrate(x^2/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(b x^{3} + a\right)} b}"," ",0,"-1/3/((b*x^3 + a)*b)","A",0
332,1,37,0,1.321757," ","integrate(1/x/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{1}{3 \, {\left(a b x^{3} + a^{2}\right)}} - \frac{\log\left(b x^{3} + a\right)}{3 \, a^{2}} + \frac{\log\left(x^{3}\right)}{3 \, a^{2}}"," ",0,"1/3/(a*b*x^3 + a^2) - 1/3*log(b*x^3 + a)/a^2 + 1/3*log(x^3)/a^2","A",0
333,1,53,0,1.334990," ","integrate(1/x^4/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{2 \, b x^{3} + a}{3 \, {\left(a^{2} b x^{6} + a^{3} x^{3}\right)}} + \frac{2 \, b \log\left(b x^{3} + a\right)}{3 \, a^{3}} - \frac{2 \, b \log\left(x^{3}\right)}{3 \, a^{3}}"," ",0,"-1/3*(2*b*x^3 + a)/(a^2*b*x^6 + a^3*x^3) + 2/3*b*log(b*x^3 + a)/a^3 - 2/3*b*log(x^3)/a^3","A",0
334,1,116,0,2.989459," ","integrate(x^4/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{x^{2}}{3 \, {\left(b^{2} x^{3} + a b\right)}} + \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{2 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/3*x^2/(b^2*x^3 + a*b) + 2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(1/3)) + 1/9*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(1/3)) - 2/9*log(x + (a/b)^(1/3))/(b^2*(a/b)^(1/3))","A",0
335,1,114,0,2.843372," ","integrate(x^3/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{x}{3 \, {\left(b^{2} x^{3} + a b\right)}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/3*x/(b^2*x^3 + a*b) + 1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(2/3)) - 1/18*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(2/3)) + 1/9*log(x + (a/b)^(1/3))/(b^2*(a/b)^(2/3))","A",0
336,1,124,0,3.002571," ","integrate(x/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{x^{2}}{3 \, {\left(a b x^{3} + a^{2}\right)}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a b \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, a b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a b \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/3*x^2/(a*b*x^3 + a^2) + 1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a*b*(a/b)^(1/3)) + 1/18*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*b*(a/b)^(1/3)) - 1/9*log(x + (a/b)^(1/3))/(a*b*(a/b)^(1/3))","A",0
337,1,122,0,2.960351," ","integrate(1/(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{x}{3 \, {\left(a b x^{3} + a^{2}\right)}} + \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \, a b \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{2 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a b \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/3*x/(a*b*x^3 + a^2) + 2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a*b*(a/b)^(2/3)) - 1/9*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*b*(a/b)^(2/3)) + 2/9*log(x + (a/b)^(1/3))/(a*b*(a/b)^(2/3))","A",0
338,1,126,0,2.975871," ","integrate(1/x^2/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{4 \, b x^{3} + 3 \, a}{3 \, {\left(a^{2} b x^{4} + a^{3} x\right)}} - \frac{4 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{2 \, \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \, a^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{4 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/3*(4*b*x^3 + 3*a)/(a^2*b*x^4 + a^3*x) - 4/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*(a/b)^(1/3)) - 2/9*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*(a/b)^(1/3)) + 4/9*log(x + (a/b)^(1/3))/(a^2*(a/b)^(1/3))","A",0
339,1,128,0,3.009289," ","integrate(1/x^3/(b*x^3+a)^2,x, algorithm=""maxima"")","-\frac{5 \, b x^{3} + 3 \, a}{6 \, {\left(a^{2} b x^{5} + a^{3} x^{2}\right)}} - \frac{5 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{5 \, \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, a^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{5 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/6*(5*b*x^3 + 3*a)/(a^2*b*x^5 + a^3*x^2) - 5/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*(a/b)^(2/3)) + 5/18*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*(a/b)^(2/3)) - 5/9*log(x + (a/b)^(1/3))/(a^2*(a/b)^(2/3))","A",0
340,1,66,0,1.328912," ","integrate(x^11/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{6 \, a^{2} b x^{3} + 5 \, a^{3}}{6 \, {\left(b^{6} x^{6} + 2 \, a b^{5} x^{3} + a^{2} b^{4}\right)}} + \frac{x^{3}}{3 \, b^{3}} - \frac{a \log\left(b x^{3} + a\right)}{b^{4}}"," ",0,"-1/6*(6*a^2*b*x^3 + 5*a^3)/(b^6*x^6 + 2*a*b^5*x^3 + a^2*b^4) + 1/3*x^3/b^3 - a*log(b*x^3 + a)/b^4","A",0
341,1,55,0,1.348224," ","integrate(x^8/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{4 \, a b x^{3} + 3 \, a^{2}}{6 \, {\left(b^{5} x^{6} + 2 \, a b^{4} x^{3} + a^{2} b^{3}\right)}} + \frac{\log\left(b x^{3} + a\right)}{3 \, b^{3}}"," ",0,"1/6*(4*a*b*x^3 + 3*a^2)/(b^5*x^6 + 2*a*b^4*x^3 + a^2*b^3) + 1/3*log(b*x^3 + a)/b^3","A",0
342,1,36,0,1.334548," ","integrate(x^5/(b*x^3+a)^3,x, algorithm=""maxima"")","-\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
343,1,14,0,1.352662," ","integrate(x^2/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{1}{6 \, {\left(b x^{3} + a\right)}^{2} b}"," ",0,"-1/6/((b*x^3 + a)^2*b)","A",0
344,1,60,0,1.348403," ","integrate(1/x/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{2 \, b x^{3} + 3 \, a}{6 \, {\left(a^{2} b^{2} x^{6} + 2 \, a^{3} b x^{3} + a^{4}\right)}} - \frac{\log\left(b x^{3} + a\right)}{3 \, a^{3}} + \frac{\log\left(x^{3}\right)}{3 \, a^{3}}"," ",0,"1/6*(2*b*x^3 + 3*a)/(a^2*b^2*x^6 + 2*a^3*b*x^3 + a^4) - 1/3*log(b*x^3 + a)/a^3 + 1/3*log(x^3)/a^3","A",0
345,1,76,0,1.356358," ","integrate(1/x^4/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{6 \, b^{2} x^{6} + 9 \, a b x^{3} + 2 \, a^{2}}{6 \, {\left(a^{3} b^{2} x^{9} + 2 \, a^{4} b x^{6} + a^{5} x^{3}\right)}} + \frac{b \log\left(b x^{3} + a\right)}{a^{4}} - \frac{b \log\left(x^{3}\right)}{a^{4}}"," ",0,"-1/6*(6*b^2*x^6 + 9*a*b*x^3 + 2*a^2)/(a^3*b^2*x^9 + 2*a^4*b*x^6 + a^5*x^3) + b*log(b*x^3 + a)/a^4 - b*log(x^3)/a^4","A",0
346,1,139,0,3.057783," ","integrate(x^7/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{8 \, b x^{5} + 5 \, a x^{2}}{18 \, {\left(b^{4} x^{6} + 2 \, a b^{3} x^{3} + a^{2} b^{2}\right)}} + \frac{5 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{5 \, \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{5 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, b^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/18*(8*b*x^5 + 5*a*x^2)/(b^4*x^6 + 2*a*b^3*x^3 + a^2*b^2) + 5/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^3*(a/b)^(1/3)) + 5/54*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*(a/b)^(1/3)) - 5/27*log(x + (a/b)^(1/3))/(b^3*(a/b)^(1/3))","A",0
347,1,137,0,2.987729," ","integrate(x^6/(b*x^3+a)^3,x, algorithm=""maxima"")","-\frac{7 \, b x^{4} + 4 \, a x}{18 \, {\left(b^{4} x^{6} + 2 \, a b^{3} x^{3} + a^{2} b^{2}\right)}} + \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{27 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{2 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/18*(7*b*x^4 + 4*a*x)/(b^4*x^6 + 2*a*b^3*x^3 + a^2*b^2) + 2/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(b^3*(a/b)^(2/3)) - 1/27*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^3*(a/b)^(2/3)) + 2/27*log(x + (a/b)^(1/3))/(b^3*(a/b)^(2/3))","A",0
348,1,149,0,2.971948," ","integrate(x^4/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{2 \, b x^{5} - a x^{2}}{18 \, {\left(a b^{3} x^{6} + 2 \, a^{2} b^{2} x^{3} + a^{3} b\right)}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/18*(2*b*x^5 - a*x^2)/(a*b^3*x^6 + 2*a^2*b^2*x^3 + a^3*b) + 1/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a*b^2*(a/b)^(1/3)) + 1/54*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*b^2*(a/b)^(1/3)) - 1/27*log(x + (a/b)^(1/3))/(a*b^2*(a/b)^(1/3))","A",0
349,1,146,0,2.950307," ","integrate(x^3/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{b x^{4} - 2 \, a x}{18 \, {\left(a b^{3} x^{6} + 2 \, a^{2} b^{2} x^{3} + a^{3} b\right)}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/18*(b*x^4 - 2*a*x)/(a*b^3*x^6 + 2*a^2*b^2*x^3 + a^3*b) + 1/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a*b^2*(a/b)^(2/3)) - 1/54*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a*b^2*(a/b)^(2/3)) + 1/27*log(x + (a/b)^(1/3))/(a*b^2*(a/b)^(2/3))","A",0
350,1,147,0,2.980828," ","integrate(x/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{4 \, b x^{5} + 7 \, a x^{2}}{18 \, {\left(a^{2} b^{2} x^{6} + 2 \, a^{3} b x^{3} + a^{4}\right)}} + \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{27 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{2 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/18*(4*b*x^5 + 7*a*x^2)/(a^2*b^2*x^6 + 2*a^3*b*x^3 + a^4) + 2/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*b*(a/b)^(1/3)) + 1/27*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*b*(a/b)^(1/3)) - 2/27*log(x + (a/b)^(1/3))/(a^2*b*(a/b)^(1/3))","A",0
351,1,145,0,2.899609," ","integrate(1/(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{5 \, b x^{4} + 8 \, a x}{18 \, {\left(a^{2} b^{2} x^{6} + 2 \, a^{3} b x^{3} + a^{4}\right)}} + \frac{5 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{27 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{5 \, \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{54 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{5 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a^{2} b \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/18*(5*b*x^4 + 8*a*x)/(a^2*b^2*x^6 + 2*a^3*b*x^3 + a^4) + 5/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*b*(a/b)^(2/3)) - 5/54*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*b*(a/b)^(2/3)) + 5/27*log(x + (a/b)^(1/3))/(a^2*b*(a/b)^(2/3))","A",0
352,1,36,0,1.336572," ","integrate(x^8/(-b*x^3+a),x, algorithm=""maxima"")","-\frac{a^{2} \log\left(b x^{3} - a\right)}{3 \, b^{3}} - \frac{b x^{6} + 2 \, a x^{3}}{6 \, b^{2}}"," ",0,"-1/3*a^2*log(b*x^3 - a)/b^3 - 1/6*(b*x^6 + 2*a*x^3)/b^2","A",0
353,1,25,0,1.300847," ","integrate(x^5/(-b*x^3+a),x, algorithm=""maxima"")","-\frac{x^{3}}{3 \, b} - \frac{a \log\left(b x^{3} - a\right)}{3 \, b^{2}}"," ",0,"-1/3*x^3/b - 1/3*a*log(b*x^3 - a)/b^2","A",0
354,1,15,0,1.344016," ","integrate(x^2/(-b*x^3+a),x, algorithm=""maxima"")","-\frac{\log\left(b x^{3} - a\right)}{3 \, b}"," ",0,"-1/3*log(b*x^3 - a)/b","A",0
355,1,25,0,1.341985," ","integrate(1/x/(-b*x^3+a),x, algorithm=""maxima"")","-\frac{\log\left(b x^{3} - a\right)}{3 \, a} + \frac{\log\left(x^{3}\right)}{3 \, a}"," ",0,"-1/3*log(b*x^3 - a)/a + 1/3*log(x^3)/a","A",0
356,1,35,0,1.320953," ","integrate(1/x^4/(-b*x^3+a),x, algorithm=""maxima"")","-\frac{b \log\left(b x^{3} - a\right)}{3 \, a^{2}} + \frac{b \log\left(x^{3}\right)}{3 \, a^{2}} - \frac{1}{3 \, a x^{3}}"," ",0,"-1/3*b*log(b*x^3 - a)/a^2 + 1/3*b*log(x^3)/a^2 - 1/3/(a*x^3)","A",0
357,1,108,0,2.998590," ","integrate(x^4/(-b*x^3+a),x, algorithm=""maxima"")","-\frac{x^{2}}{2 \, b} - \frac{\sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{a \log\left(x^{2} + x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{a \log\left(x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/2*x^2/b - 1/3*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*x + (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(1/3)) + 1/6*a*log(x^2 + x*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(1/3)) - 1/3*a*log(x - (a/b)^(1/3))/(b^2*(a/b)^(1/3))","A",0
358,1,106,0,3.022117," ","integrate(x^3/(-b*x^3+a),x, algorithm=""maxima"")","-\frac{x}{b} + \frac{\sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{a \log\left(x^{2} + x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{a \log\left(x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-x/b + 1/3*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*x + (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(2/3)) + 1/6*a*log(x^2 + x*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(2/3)) - 1/3*a*log(x - (a/b)^(1/3))/(b^2*(a/b)^(2/3))","A",0
359,1,97,0,2.886131," ","integrate(x/(-b*x^3+a),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{2} + x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + (a/b)^(1/3))/(a/b)^(1/3))/(b*(a/b)^(1/3)) + 1/6*log(x^2 + x*(a/b)^(1/3) + (a/b)^(2/3))/(b*(a/b)^(1/3)) - 1/3*log(x - (a/b)^(1/3))/(b*(a/b)^(1/3))","A",0
360,1,97,0,2.971477," ","integrate(1/(-b*x^3+a),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x^{2} + x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + (a/b)^(1/3))/(a/b)^(1/3))/(b*(a/b)^(2/3)) + 1/6*log(x^2 + x*(a/b)^(1/3) + (a/b)^(2/3))/(b*(a/b)^(2/3)) - 1/3*log(x - (a/b)^(1/3))/(b*(a/b)^(2/3))","A",0
361,1,105,0,2.848046," ","integrate(1/x^2/(-b*x^3+a),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{2} + x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, a \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, a \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{1}{a x}"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + (a/b)^(1/3))/(a/b)^(1/3))/(a*(a/b)^(1/3)) + 1/6*log(x^2 + x*(a/b)^(1/3) + (a/b)^(2/3))/(a*(a/b)^(1/3)) - 1/3*log(x - (a/b)^(1/3))/(a*(a/b)^(1/3)) - 1/(a*x)","A",0
362,1,105,0,2.952457," ","integrate(1/x^3/(-b*x^3+a),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x^{2} + x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, a \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, a \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{1}{2 \, a x^{2}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + (a/b)^(1/3))/(a/b)^(1/3))/(a*(a/b)^(2/3)) + 1/6*log(x^2 + x*(a/b)^(1/3) + (a/b)^(2/3))/(a*(a/b)^(2/3)) - 1/3*log(x - (a/b)^(1/3))/(a*(a/b)^(2/3)) - 1/2/(a*x^2)","A",0
363,1,114,0,2.921174," ","integrate(1/(b*x^3+a+1),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a + 1}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a + 1}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b \left(\frac{a + 1}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{a + 1}{b}\right)^{\frac{1}{3}} + \left(\frac{a + 1}{b}\right)^{\frac{2}{3}}\right)}{6 \, b \left(\frac{a + 1}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x + \left(\frac{a + 1}{b}\right)^{\frac{1}{3}}\right)}{3 \, b \left(\frac{a + 1}{b}\right)^{\frac{2}{3}}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - ((a + 1)/b)^(1/3))/((a + 1)/b)^(1/3))/(b*((a + 1)/b)^(2/3)) - 1/6*log(x^2 - x*((a + 1)/b)^(1/3) + ((a + 1)/b)^(2/3))/(b*((a + 1)/b)^(2/3)) + 1/3*log(x + ((a + 1)/b)^(1/3))/(b*((a + 1)/b)^(2/3))","A",0
364,1,113,0,3.003105," ","integrate(1/(-b*x^3+a+1),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(\frac{a + 1}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a + 1}{b}\right)^{\frac{1}{3}}}\right)}{3 \, b \left(\frac{a + 1}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x^{2} + x \left(\frac{a + 1}{b}\right)^{\frac{1}{3}} + \left(\frac{a + 1}{b}\right)^{\frac{2}{3}}\right)}{6 \, b \left(\frac{a + 1}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x - \left(\frac{a + 1}{b}\right)^{\frac{1}{3}}\right)}{3 \, b \left(\frac{a + 1}{b}\right)^{\frac{2}{3}}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + ((a + 1)/b)^(1/3))/((a + 1)/b)^(1/3))/(b*((a + 1)/b)^(2/3)) + 1/6*log(x^2 + x*((a + 1)/b)^(1/3) + ((a + 1)/b)^(2/3))/(b*((a + 1)/b)^(2/3)) - 1/3*log(x - ((a + 1)/b)^(1/3))/(b*((a + 1)/b)^(2/3))","A",0
365,-2,0,0,0.000000," ","integrate(1/(b*x^3+a-1),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a-1.0>0)', see `assume?` for more details)Is a-1.0 positive or negative?","F(-2)",0
366,-2,0,0,0.000000," ","integrate(1/(-b*x^3+a-1),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a-1.0>0)', see `assume?` for more details)Is a-1.0 positive or negative?","F(-2)",0
367,1,6,0,2.986853," ","integrate(x^(1/2)/(x^3+1),x, algorithm=""maxima"")","\frac{2}{3} \, \arctan\left(x^{\frac{3}{2}}\right)"," ",0,"2/3*arctan(x^(3/2))","A",0
368,1,64,0,1.275381," ","integrate(x^11*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{9}{2}}}{27 \, b^{4}} - \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} a}{7 \, b^{4}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a^{2}}{5 \, b^{4}} - \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{3}}{9 \, b^{4}}"," ",0,"2/27*(b*x^3 + a)^(9/2)/b^4 - 2/7*(b*x^3 + a)^(7/2)*a/b^4 + 2/5*(b*x^3 + a)^(5/2)*a^2/b^4 - 2/9*(b*x^3 + a)^(3/2)*a^3/b^4","A",0
369,1,47,0,1.286709," ","integrate(x^8*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}}}{21 \, b^{3}} - \frac{4 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a}{15 \, b^{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{2}}{9 \, b^{3}}"," ",0,"2/21*(b*x^3 + a)^(7/2)/b^3 - 4/15*(b*x^3 + a)^(5/2)*a/b^3 + 2/9*(b*x^3 + a)^(3/2)*a^2/b^3","A",0
370,1,30,0,1.292027," ","integrate(x^5*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}}}{15 \, b^{2}} - \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a}{9 \, b^{2}}"," ",0,"2/15*(b*x^3 + a)^(5/2)/b^2 - 2/9*(b*x^3 + a)^(3/2)*a/b^2","A",0
371,1,14,0,1.278073," ","integrate(x^2*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{9 \, b}"," ",0,"2/9*(b*x^3 + a)^(3/2)/b","A",0
372,1,49,0,2.946128," ","integrate((b*x^3+a)^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{a} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right) + \frac{2}{3} \, \sqrt{b x^{3} + a}"," ",0,"1/3*sqrt(a)*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a))) + 2/3*sqrt(b*x^3 + a)","A",0
373,1,53,0,2.940746," ","integrate((b*x^3+a)^(1/2)/x^4,x, algorithm=""maxima"")","\frac{b \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{6 \, \sqrt{a}} - \frac{\sqrt{b x^{3} + a}}{3 \, x^{3}}"," ",0,"1/6*b*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/sqrt(a) - 1/3*sqrt(b*x^3 + a)/x^3","A",0
374,1,100,0,2.898284," ","integrate((b*x^3+a)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{b^{2} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{24 \, a^{\frac{3}{2}}} - \frac{{\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{2} + \sqrt{b x^{3} + a} a b^{2}}{12 \, {\left({\left(b x^{3} + a\right)}^{2} a - 2 \, {\left(b x^{3} + a\right)} a^{2} + a^{3}\right)}}"," ",0,"-1/24*b^2*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(3/2) - 1/12*((b*x^3 + a)^(3/2)*b^2 + sqrt(b*x^3 + a)*a*b^2)/((b*x^3 + a)^2*a - 2*(b*x^3 + a)*a^2 + a^3)","A",0
375,1,137,0,2.944366," ","integrate((b*x^3+a)^(1/2)/x^10,x, algorithm=""maxima"")","\frac{b^{3} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{48 \, a^{\frac{5}{2}}} + \frac{3 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} b^{3} - 8 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a b^{3} - 3 \, \sqrt{b x^{3} + a} a^{2} b^{3}}{72 \, {\left({\left(b x^{3} + a\right)}^{3} a^{2} - 3 \, {\left(b x^{3} + a\right)}^{2} a^{3} + 3 \, {\left(b x^{3} + a\right)} a^{4} - a^{5}\right)}}"," ",0,"1/48*b^3*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(5/2) + 1/72*(3*(b*x^3 + a)^(5/2)*b^3 - 8*(b*x^3 + a)^(3/2)*a*b^3 - 3*sqrt(b*x^3 + a)*a^2*b^3)/((b*x^3 + a)^3*a^2 - 3*(b*x^3 + a)^2*a^3 + 3*(b*x^3 + a)*a^4 - a^5)","A",0
376,0,0,0,0.000000," ","integrate(x^6*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{3} + a} x^{6}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a)*x^6, x)","F",0
377,0,0,0,0.000000," ","integrate(x^3*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{3} + a} x^{3}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a)*x^3, x)","F",0
378,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{3} + a}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a), x)","F",0
379,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{3} + a}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a)/x^3, x)","F",0
380,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/2)/x^6,x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{3} + a}}{x^{6}}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a)/x^6, x)","F",0
381,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/2)/x^9,x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{3} + a}}{x^{9}}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a)/x^9, x)","F",0
382,0,0,0,0.000000," ","integrate(x^7*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{3} + a} x^{7}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a)*x^7, x)","F",0
383,0,0,0,0.000000," ","integrate(x^4*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{3} + a} x^{4}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a)*x^4, x)","F",0
384,0,0,0,0.000000," ","integrate(x*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{3} + a} x\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a)*x, x)","F",0
385,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{3} + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a)/x^2, x)","F",0
386,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/2)/x^5,x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{3} + a}}{x^{5}}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a)/x^5, x)","F",0
387,1,64,0,1.259605," ","integrate(x^11*(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{11}{2}}}{33 \, b^{4}} - \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{9}{2}} a}{9 \, b^{4}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} a^{2}}{7 \, b^{4}} - \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a^{3}}{15 \, b^{4}}"," ",0,"2/33*(b*x^3 + a)^(11/2)/b^4 - 2/9*(b*x^3 + a)^(9/2)*a/b^4 + 2/7*(b*x^3 + a)^(7/2)*a^2/b^4 - 2/15*(b*x^3 + a)^(5/2)*a^3/b^4","A",0
388,1,47,0,1.378380," ","integrate(x^8*(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{9}{2}}}{27 \, b^{3}} - \frac{4 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}} a}{21 \, b^{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a^{2}}{15 \, b^{3}}"," ",0,"2/27*(b*x^3 + a)^(9/2)/b^3 - 4/21*(b*x^3 + a)^(7/2)*a/b^3 + 2/15*(b*x^3 + a)^(5/2)*a^2/b^3","A",0
389,1,30,0,1.343498," ","integrate(x^5*(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}}}{21 \, b^{2}} - \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a}{15 \, b^{2}}"," ",0,"2/21*(b*x^3 + a)^(7/2)/b^2 - 2/15*(b*x^3 + a)^(5/2)*a/b^2","A",0
390,1,14,0,1.354963," ","integrate(x^2*(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}}}{15 \, b}"," ",0,"2/15*(b*x^3 + a)^(5/2)/b","A",0
391,1,61,0,2.887481," ","integrate((b*x^3+a)^(3/2)/x,x, algorithm=""maxima"")","\frac{1}{3} \, a^{\frac{3}{2}} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right) + \frac{2}{9} \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} + \frac{2}{3} \, \sqrt{b x^{3} + a} a"," ",0,"1/3*a^(3/2)*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a))) + 2/9*(b*x^3 + a)^(3/2) + 2/3*sqrt(b*x^3 + a)*a","A",0
392,1,66,0,2.989021," ","integrate((b*x^3+a)^(3/2)/x^4,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{a} b \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right) + \frac{2}{3} \, \sqrt{b x^{3} + a} b - \frac{\sqrt{b x^{3} + a} a}{3 \, x^{3}}"," ",0,"1/2*sqrt(a)*b*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a))) + 2/3*sqrt(b*x^3 + a)*b - 1/3*sqrt(b*x^3 + a)*a/x^3","A",0
393,1,98,0,2.904347," ","integrate((b*x^3+a)^(3/2)/x^7,x, algorithm=""maxima"")","\frac{b^{2} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{8 \, \sqrt{a}} - \frac{5 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{2} - 3 \, \sqrt{b x^{3} + a} a b^{2}}{12 \, {\left({\left(b x^{3} + a\right)}^{2} - 2 \, {\left(b x^{3} + a\right)} a + a^{2}\right)}}"," ",0,"1/8*b^2*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/sqrt(a) - 1/12*(5*(b*x^3 + a)^(3/2)*b^2 - 3*sqrt(b*x^3 + a)*a*b^2)/((b*x^3 + a)^2 - 2*(b*x^3 + a)*a + a^2)","A",0
394,0,0,0,0.000000," ","integrate(x^6*(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{6}\,{d x}"," ",0,"integrate((b*x^3 + a)^(3/2)*x^6, x)","F",0
395,0,0,0,0.000000," ","integrate(x^3*(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{3}\,{d x}"," ",0,"integrate((b*x^3 + a)^(3/2)*x^3, x)","F",0
396,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(3/2), x)","F",0
397,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(3/2)/x^3, x)","F",0
398,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}{x^{6}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(3/2)/x^6, x)","F",0
399,0,0,0,0.000000," ","integrate(x^7*(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{7}\,{d x}"," ",0,"integrate((b*x^3 + a)^(3/2)*x^7, x)","F",0
400,0,0,0,0.000000," ","integrate(x^4*(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{4}\,{d x}"," ",0,"integrate((b*x^3 + a)^(3/2)*x^4, x)","F",0
401,0,0,0,0.000000," ","integrate(x*(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{3}{2}} x\,{d x}"," ",0,"integrate((b*x^3 + a)^(3/2)*x, x)","F",0
402,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(3/2)/x^2, x)","F",0
403,0,0,0,0.000000," ","integrate((b*x^3+a)^(3/2)/x^5,x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}{x^{5}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(3/2)/x^5, x)","F",0
404,1,64,0,1.342806," ","integrate(x^11/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{7}{2}}}{21 \, b^{4}} - \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}} a}{5 \, b^{4}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{2}}{3 \, b^{4}} - \frac{2 \, \sqrt{b x^{3} + a} a^{3}}{3 \, b^{4}}"," ",0,"2/21*(b*x^3 + a)^(7/2)/b^4 - 2/5*(b*x^3 + a)^(5/2)*a/b^4 + 2/3*(b*x^3 + a)^(3/2)*a^2/b^4 - 2/3*sqrt(b*x^3 + a)*a^3/b^4","A",0
405,1,47,0,1.363399," ","integrate(x^8/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}}}{15 \, b^{3}} - \frac{4 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a}{9 \, b^{3}} + \frac{2 \, \sqrt{b x^{3} + a} a^{2}}{3 \, b^{3}}"," ",0,"2/15*(b*x^3 + a)^(5/2)/b^3 - 4/9*(b*x^3 + a)^(3/2)*a/b^3 + 2/3*sqrt(b*x^3 + a)*a^2/b^3","A",0
406,1,30,0,1.323961," ","integrate(x^5/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{9 \, b^{2}} - \frac{2 \, \sqrt{b x^{3} + a} a}{3 \, b^{2}}"," ",0,"2/9*(b*x^3 + a)^(3/2)/b^2 - 2/3*sqrt(b*x^3 + a)*a/b^2","A",0
407,1,14,0,1.295313," ","integrate(x^2/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x^{3} + a}}{3 \, b}"," ",0,"2/3*sqrt(b*x^3 + a)/b","A",0
408,1,37,0,2.884352," ","integrate(1/x/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{3 \, \sqrt{a}}"," ",0,"1/3*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/sqrt(a)","A",0
409,1,68,0,2.880184," ","integrate(1/x^4/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{b x^{3} + a} b}{3 \, {\left({\left(b x^{3} + a\right)} a - a^{2}\right)}} - \frac{b \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{6 \, a^{\frac{3}{2}}}"," ",0,"-1/3*sqrt(b*x^3 + a)*b/((b*x^3 + a)*a - a^2) - 1/6*b*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(3/2)","A",0
410,1,104,0,3.013901," ","integrate(1/x^7/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\frac{b^{2} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{8 \, a^{\frac{5}{2}}} + \frac{3 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} b^{2} - 5 \, \sqrt{b x^{3} + a} a b^{2}}{12 \, {\left({\left(b x^{3} + a\right)}^{2} a^{2} - 2 \, {\left(b x^{3} + a\right)} a^{3} + a^{4}\right)}}"," ",0,"1/8*b^2*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(5/2) + 1/12*(3*(b*x^3 + a)^(3/2)*b^2 - 5*sqrt(b*x^3 + a)*a*b^2)/((b*x^3 + a)^2*a^2 - 2*(b*x^3 + a)*a^3 + a^4)","A",0
411,0,0,0,0.000000," ","integrate(x^6/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate(x^6/sqrt(b*x^3 + a), x)","F",0
412,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate(x^3/sqrt(b*x^3 + a), x)","F",0
413,0,0,0,0.000000," ","integrate(1/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*x^3 + a), x)","F",0
414,0,0,0,0.000000," ","integrate(1/x^3/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{3} + a} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^3 + a)*x^3), x)","F",0
415,0,0,0,0.000000," ","integrate(1/x^6/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{3} + a} x^{6}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^3 + a)*x^6), x)","F",0
416,0,0,0,0.000000," ","integrate(x^7/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{7}}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate(x^7/sqrt(b*x^3 + a), x)","F",0
417,0,0,0,0.000000," ","integrate(x^4/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate(x^4/sqrt(b*x^3 + a), x)","F",0
418,0,0,0,0.000000," ","integrate(x/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate(x/sqrt(b*x^3 + a), x)","F",0
419,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{3} + a} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^3 + a)*x^2), x)","F",0
420,0,0,0,0.000000," ","integrate(1/x^5/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{3} + a} x^{5}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^3 + a)*x^5), x)","F",0
421,1,64,0,1.331443," ","integrate(x^11/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{2}}}{15 \, b^{4}} - \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a}{3 \, b^{4}} + \frac{2 \, \sqrt{b x^{3} + a} a^{2}}{b^{4}} + \frac{2 \, a^{3}}{3 \, \sqrt{b x^{3} + a} b^{4}}"," ",0,"2/15*(b*x^3 + a)^(5/2)/b^4 - 2/3*(b*x^3 + a)^(3/2)*a/b^4 + 2*sqrt(b*x^3 + a)*a^2/b^4 + 2/3*a^3/(sqrt(b*x^3 + a)*b^4)","A",0
422,1,47,0,1.315835," ","integrate(x^8/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}}}{9 \, b^{3}} - \frac{4 \, \sqrt{b x^{3} + a} a}{3 \, b^{3}} - \frac{2 \, a^{2}}{3 \, \sqrt{b x^{3} + a} b^{3}}"," ",0,"2/9*(b*x^3 + a)^(3/2)/b^3 - 4/3*sqrt(b*x^3 + a)*a/b^3 - 2/3*a^2/(sqrt(b*x^3 + a)*b^3)","A",0
423,1,30,0,1.325311," ","integrate(x^5/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x^{3} + a}}{3 \, b^{2}} + \frac{2 \, a}{3 \, \sqrt{b x^{3} + a} b^{2}}"," ",0,"2/3*sqrt(b*x^3 + a)/b^2 + 2/3*a/(sqrt(b*x^3 + a)*b^2)","A",0
424,1,14,0,1.357608," ","integrate(x^2/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","-\frac{2}{3 \, \sqrt{b x^{3} + a} b}"," ",0,"-2/3/(sqrt(b*x^3 + a)*b)","A",0
425,1,52,0,2.924647," ","integrate(1/x/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{3 \, a^{\frac{3}{2}}} + \frac{2}{3 \, \sqrt{b x^{3} + a} a}"," ",0,"1/3*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(3/2) + 2/3/(sqrt(b*x^3 + a)*a)","A",0
426,1,86,0,2.977139," ","integrate(1/x^4/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(b x^{3} + a\right)} b - 2 \, a b}{3 \, {\left({\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{2} - \sqrt{b x^{3} + a} a^{3}\right)}} - \frac{b \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{2 \, a^{\frac{5}{2}}}"," ",0,"-1/3*(3*(b*x^3 + a)*b - 2*a*b)/((b*x^3 + a)^(3/2)*a^2 - sqrt(b*x^3 + a)*a^3) - 1/2*b*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(5/2)","A",0
427,1,122,0,2.989245," ","integrate(1/x^7/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\frac{15 \, {\left(b x^{3} + a\right)}^{2} b^{2} - 25 \, {\left(b x^{3} + a\right)} a b^{2} + 8 \, a^{2} b^{2}}{12 \, {\left({\left(b x^{3} + a\right)}^{\frac{5}{2}} a^{3} - 2 \, {\left(b x^{3} + a\right)}^{\frac{3}{2}} a^{4} + \sqrt{b x^{3} + a} a^{5}\right)}} + \frac{5 \, b^{2} \log\left(\frac{\sqrt{b x^{3} + a} - \sqrt{a}}{\sqrt{b x^{3} + a} + \sqrt{a}}\right)}{8 \, a^{\frac{7}{2}}}"," ",0,"1/12*(15*(b*x^3 + a)^2*b^2 - 25*(b*x^3 + a)*a*b^2 + 8*a^2*b^2)/((b*x^3 + a)^(5/2)*a^3 - 2*(b*x^3 + a)^(3/2)*a^4 + sqrt(b*x^3 + a)*a^5) + 5/8*b^2*log((sqrt(b*x^3 + a) - sqrt(a))/(sqrt(b*x^3 + a) + sqrt(a)))/a^(7/2)","A",0
428,0,0,0,0.000000," ","integrate(x^6/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^6/(b*x^3 + a)^(3/2), x)","F",0
429,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/(b*x^3 + a)^(3/2), x)","F",0
430,0,0,0,0.000000," ","integrate(1/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(-3/2), x)","F",0
431,0,0,0,0.000000," ","integrate(1/x^3/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(3/2)*x^3), x)","F",0
432,0,0,0,0.000000," ","integrate(1/x^6/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{6}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(3/2)*x^6), x)","F",0
433,0,0,0,0.000000," ","integrate(x^7/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{7}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^7/(b*x^3 + a)^(3/2), x)","F",0
434,0,0,0,0.000000," ","integrate(x^4/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^4/(b*x^3 + a)^(3/2), x)","F",0
435,0,0,0,0.000000," ","integrate(x/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(b*x^3 + a)^(3/2), x)","F",0
436,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(3/2)*x^2), x)","F",0
437,0,0,0,0.000000," ","integrate(1/x^5/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{5}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(3/2)*x^5), x)","F",0
438,1,37,0,1.356734," ","integrate(x^11/(x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{2}{21} \, {\left(x^{3} + 1\right)}^{\frac{7}{2}} - \frac{2}{5} \, {\left(x^{3} + 1\right)}^{\frac{5}{2}} + \frac{2}{3} \, {\left(x^{3} + 1\right)}^{\frac{3}{2}} - \frac{2}{3} \, \sqrt{x^{3} + 1}"," ",0,"2/21*(x^3 + 1)^(7/2) - 2/5*(x^3 + 1)^(5/2) + 2/3*(x^3 + 1)^(3/2) - 2/3*sqrt(x^3 + 1)","A",0
439,1,28,0,1.315693," ","integrate(x^8/(x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, {\left(x^{3} + 1\right)}^{\frac{5}{2}} - \frac{4}{9} \, {\left(x^{3} + 1\right)}^{\frac{3}{2}} + \frac{2}{3} \, \sqrt{x^{3} + 1}"," ",0,"2/15*(x^3 + 1)^(5/2) - 4/9*(x^3 + 1)^(3/2) + 2/3*sqrt(x^3 + 1)","A",0
440,1,19,0,1.315540," ","integrate(x^5/(x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, {\left(x^{3} + 1\right)}^{\frac{3}{2}} - \frac{2}{3} \, \sqrt{x^{3} + 1}"," ",0,"2/9*(x^3 + 1)^(3/2) - 2/3*sqrt(x^3 + 1)","A",0
441,1,9,0,1.401095," ","integrate(x^2/(x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, \sqrt{x^{3} + 1}"," ",0,"2/3*sqrt(x^3 + 1)","A",0
442,1,25,0,1.320374," ","integrate(1/x/(x^3+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \log\left(\sqrt{x^{3} + 1} + 1\right) + \frac{1}{3} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"-1/3*log(sqrt(x^3 + 1) + 1) + 1/3*log(sqrt(x^3 + 1) - 1)","B",0
443,1,37,0,1.299368," ","integrate(1/x^4/(x^3+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{3} + 1}}{3 \, x^{3}} + \frac{1}{6} \, \log\left(\sqrt{x^{3} + 1} + 1\right) - \frac{1}{6} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"-1/3*sqrt(x^3 + 1)/x^3 + 1/6*log(sqrt(x^3 + 1) + 1) - 1/6*log(sqrt(x^3 + 1) - 1)","A",0
444,1,64,0,1.356642," ","integrate(1/x^7/(x^3+1)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(x^{3} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{x^{3} + 1}}{12 \, {\left(2 \, x^{3} - {\left(x^{3} + 1\right)}^{2} + 1\right)}} - \frac{1}{8} \, \log\left(\sqrt{x^{3} + 1} + 1\right) + \frac{1}{8} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"-1/12*(3*(x^3 + 1)^(3/2) - 5*sqrt(x^3 + 1))/(2*x^3 - (x^3 + 1)^2 + 1) - 1/8*log(sqrt(x^3 + 1) + 1) + 1/8*log(sqrt(x^3 + 1) - 1)","A",0
445,1,80,0,1.326221," ","integrate(1/x^10/(x^3+1)^(1/2),x, algorithm=""maxima"")","-\frac{15 \, {\left(x^{3} + 1\right)}^{\frac{5}{2}} - 40 \, {\left(x^{3} + 1\right)}^{\frac{3}{2}} + 33 \, \sqrt{x^{3} + 1}}{72 \, {\left({\left(x^{3} + 1\right)}^{3} + 3 \, x^{3} - 3 \, {\left(x^{3} + 1\right)}^{2} + 2\right)}} + \frac{5}{48} \, \log\left(\sqrt{x^{3} + 1} + 1\right) - \frac{5}{48} \, \log\left(\sqrt{x^{3} + 1} - 1\right)"," ",0,"-1/72*(15*(x^3 + 1)^(5/2) - 40*(x^3 + 1)^(3/2) + 33*sqrt(x^3 + 1))/((x^3 + 1)^3 + 3*x^3 - 3*(x^3 + 1)^2 + 2) + 5/48*log(sqrt(x^3 + 1) + 1) - 5/48*log(sqrt(x^3 + 1) - 1)","A",0
446,0,0,0,0.000000," ","integrate(x^6/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(x^6/sqrt(x^3 + 1), x)","F",0
447,0,0,0,0.000000," ","integrate(x^3/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(x^3/sqrt(x^3 + 1), x)","F",0
448,0,0,0,0.000000," ","integrate(1/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(1/sqrt(x^3 + 1), x)","F",0
449,0,0,0,0.000000," ","integrate(1/x^3/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} + 1} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(x^3 + 1)*x^3), x)","F",0
450,0,0,0,0.000000," ","integrate(1/x^6/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} + 1} x^{6}}\,{d x}"," ",0,"integrate(1/(sqrt(x^3 + 1)*x^6), x)","F",0
451,0,0,0,0.000000," ","integrate(x^7/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{7}}{\sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(x^7/sqrt(x^3 + 1), x)","F",0
452,0,0,0,0.000000," ","integrate(x^4/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(x^4/sqrt(x^3 + 1), x)","F",0
453,0,0,0,0.000000," ","integrate(x/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{3} + 1}}\,{d x}"," ",0,"integrate(x/sqrt(x^3 + 1), x)","F",0
454,0,0,0,0.000000," ","integrate(1/x^2/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} + 1} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x^3 + 1)*x^2), x)","F",0
455,0,0,0,0.000000," ","integrate(1/x^5/(x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} + 1} x^{5}}\,{d x}"," ",0,"integrate(1/(sqrt(x^3 + 1)*x^5), x)","F",0
456,1,45,0,1.330076," ","integrate(x^11/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{2}{21} \, {\left(-x^{3} + 1\right)}^{\frac{7}{2}} - \frac{2}{5} \, {\left(-x^{3} + 1\right)}^{\frac{5}{2}} + \frac{2}{3} \, {\left(-x^{3} + 1\right)}^{\frac{3}{2}} - \frac{2}{3} \, \sqrt{-x^{3} + 1}"," ",0,"2/21*(-x^3 + 1)^(7/2) - 2/5*(-x^3 + 1)^(5/2) + 2/3*(-x^3 + 1)^(3/2) - 2/3*sqrt(-x^3 + 1)","A",0
457,1,34,0,1.322634," ","integrate(x^8/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\frac{2}{15} \, {\left(-x^{3} + 1\right)}^{\frac{5}{2}} + \frac{4}{9} \, {\left(-x^{3} + 1\right)}^{\frac{3}{2}} - \frac{2}{3} \, \sqrt{-x^{3} + 1}"," ",0,"-2/15*(-x^3 + 1)^(5/2) + 4/9*(-x^3 + 1)^(3/2) - 2/3*sqrt(-x^3 + 1)","A",0
458,1,23,0,1.294909," ","integrate(x^5/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, {\left(-x^{3} + 1\right)}^{\frac{3}{2}} - \frac{2}{3} \, \sqrt{-x^{3} + 1}"," ",0,"2/9*(-x^3 + 1)^(3/2) - 2/3*sqrt(-x^3 + 1)","A",0
459,1,11,0,1.338981," ","integrate(x^2/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\frac{2}{3} \, \sqrt{-x^{3} + 1}"," ",0,"-2/3*sqrt(-x^3 + 1)","A",0
460,1,29,0,1.297605," ","integrate(1/x/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \log\left(\sqrt{-x^{3} + 1} + 1\right) + \frac{1}{3} \, \log\left(\sqrt{-x^{3} + 1} - 1\right)"," ",0,"-1/3*log(sqrt(-x^3 + 1) + 1) + 1/3*log(sqrt(-x^3 + 1) - 1)","B",0
461,1,43,0,1.343789," ","integrate(1/x^4/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{3} + 1}}{3 \, x^{3}} - \frac{1}{6} \, \log\left(\sqrt{-x^{3} + 1} + 1\right) + \frac{1}{6} \, \log\left(\sqrt{-x^{3} + 1} - 1\right)"," ",0,"-1/3*sqrt(-x^3 + 1)/x^3 - 1/6*log(sqrt(-x^3 + 1) + 1) + 1/6*log(sqrt(-x^3 + 1) - 1)","A",0
462,1,70,0,1.338732," ","integrate(1/x^7/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\frac{3 \, {\left(-x^{3} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{-x^{3} + 1}}{12 \, {\left(2 \, x^{3} + {\left(x^{3} - 1\right)}^{2} - 1\right)}} - \frac{1}{8} \, \log\left(\sqrt{-x^{3} + 1} + 1\right) + \frac{1}{8} \, \log\left(\sqrt{-x^{3} + 1} - 1\right)"," ",0,"1/12*(3*(-x^3 + 1)^(3/2) - 5*sqrt(-x^3 + 1))/(2*x^3 + (x^3 - 1)^2 - 1) - 1/8*log(sqrt(-x^3 + 1) + 1) + 1/8*log(sqrt(-x^3 + 1) - 1)","A",0
463,1,90,0,1.400211," ","integrate(1/x^10/(-x^3+1)^(1/2),x, algorithm=""maxima"")","-\frac{15 \, {\left(-x^{3} + 1\right)}^{\frac{5}{2}} - 40 \, {\left(-x^{3} + 1\right)}^{\frac{3}{2}} + 33 \, \sqrt{-x^{3} + 1}}{72 \, {\left({\left(x^{3} - 1\right)}^{3} + 3 \, x^{3} + 3 \, {\left(x^{3} - 1\right)}^{2} - 2\right)}} - \frac{5}{48} \, \log\left(\sqrt{-x^{3} + 1} + 1\right) + \frac{5}{48} \, \log\left(\sqrt{-x^{3} + 1} - 1\right)"," ",0,"-1/72*(15*(-x^3 + 1)^(5/2) - 40*(-x^3 + 1)^(3/2) + 33*sqrt(-x^3 + 1))/((x^3 - 1)^3 + 3*x^3 + 3*(x^3 - 1)^2 - 2) - 5/48*log(sqrt(-x^3 + 1) + 1) + 5/48*log(sqrt(-x^3 + 1) - 1)","A",0
464,0,0,0,0.000000," ","integrate(x^6/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{-x^{3} + 1}}\,{d x}"," ",0,"integrate(x^6/sqrt(-x^3 + 1), x)","F",0
465,0,0,0,0.000000," ","integrate(x^3/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{-x^{3} + 1}}\,{d x}"," ",0,"integrate(x^3/sqrt(-x^3 + 1), x)","F",0
466,0,0,0,0.000000," ","integrate(1/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} + 1}}\,{d x}"," ",0,"integrate(1/sqrt(-x^3 + 1), x)","F",0
467,0,0,0,0.000000," ","integrate(1/x^3/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} + 1} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^3 + 1)*x^3), x)","F",0
468,0,0,0,0.000000," ","integrate(1/x^6/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} + 1} x^{6}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^3 + 1)*x^6), x)","F",0
469,0,0,0,0.000000," ","integrate(x^7/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{7}}{\sqrt{-x^{3} + 1}}\,{d x}"," ",0,"integrate(x^7/sqrt(-x^3 + 1), x)","F",0
470,0,0,0,0.000000," ","integrate(x^4/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{-x^{3} + 1}}\,{d x}"," ",0,"integrate(x^4/sqrt(-x^3 + 1), x)","F",0
471,0,0,0,0.000000," ","integrate(x/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{-x^{3} + 1}}\,{d x}"," ",0,"integrate(x/sqrt(-x^3 + 1), x)","F",0
472,0,0,0,0.000000," ","integrate(1/x^2/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} + 1} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^3 + 1)*x^2), x)","F",0
473,0,0,0,0.000000," ","integrate(1/x^5/(-x^3+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} + 1} x^{5}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^3 + 1)*x^5), x)","F",0
474,1,37,0,1.290681," ","integrate(x^11/(x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{2}{21} \, {\left(x^{3} - 1\right)}^{\frac{7}{2}} + \frac{2}{5} \, {\left(x^{3} - 1\right)}^{\frac{5}{2}} + \frac{2}{3} \, {\left(x^{3} - 1\right)}^{\frac{3}{2}} + \frac{2}{3} \, \sqrt{x^{3} - 1}"," ",0,"2/21*(x^3 - 1)^(7/2) + 2/5*(x^3 - 1)^(5/2) + 2/3*(x^3 - 1)^(3/2) + 2/3*sqrt(x^3 - 1)","A",0
475,1,28,0,1.403857," ","integrate(x^8/(x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, {\left(x^{3} - 1\right)}^{\frac{5}{2}} + \frac{4}{9} \, {\left(x^{3} - 1\right)}^{\frac{3}{2}} + \frac{2}{3} \, \sqrt{x^{3} - 1}"," ",0,"2/15*(x^3 - 1)^(5/2) + 4/9*(x^3 - 1)^(3/2) + 2/3*sqrt(x^3 - 1)","A",0
476,1,19,0,1.266754," ","integrate(x^5/(x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, {\left(x^{3} - 1\right)}^{\frac{3}{2}} + \frac{2}{3} \, \sqrt{x^{3} - 1}"," ",0,"2/9*(x^3 - 1)^(3/2) + 2/3*sqrt(x^3 - 1)","A",0
477,1,9,0,1.272050," ","integrate(x^2/(x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, \sqrt{x^{3} - 1}"," ",0,"2/3*sqrt(x^3 - 1)","A",0
478,1,10,0,2.903780," ","integrate(1/x/(x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, \arctan\left(\sqrt{x^{3} - 1}\right)"," ",0,"2/3*arctan(sqrt(x^3 - 1))","A",0
479,1,23,0,2.995397," ","integrate(1/x^4/(x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{3} - 1}}{3 \, x^{3}} + \frac{1}{3} \, \arctan\left(\sqrt{x^{3} - 1}\right)"," ",0,"1/3*sqrt(x^3 - 1)/x^3 + 1/3*arctan(sqrt(x^3 - 1))","A",0
480,1,48,0,2.906648," ","integrate(1/x^7/(x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{3 \, {\left(x^{3} - 1\right)}^{\frac{3}{2}} + 5 \, \sqrt{x^{3} - 1}}{12 \, {\left(2 \, x^{3} + {\left(x^{3} - 1\right)}^{2} - 1\right)}} + \frac{1}{4} \, \arctan\left(\sqrt{x^{3} - 1}\right)"," ",0,"1/12*(3*(x^3 - 1)^(3/2) + 5*sqrt(x^3 - 1))/(2*x^3 + (x^3 - 1)^2 - 1) + 1/4*arctan(sqrt(x^3 - 1))","A",0
481,1,66,0,3.032363," ","integrate(1/x^10/(x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{15 \, {\left(x^{3} - 1\right)}^{\frac{5}{2}} + 40 \, {\left(x^{3} - 1\right)}^{\frac{3}{2}} + 33 \, \sqrt{x^{3} - 1}}{72 \, {\left({\left(x^{3} - 1\right)}^{3} + 3 \, x^{3} + 3 \, {\left(x^{3} - 1\right)}^{2} - 2\right)}} + \frac{5}{24} \, \arctan\left(\sqrt{x^{3} - 1}\right)"," ",0,"1/72*(15*(x^3 - 1)^(5/2) + 40*(x^3 - 1)^(3/2) + 33*sqrt(x^3 - 1))/((x^3 - 1)^3 + 3*x^3 + 3*(x^3 - 1)^2 - 2) + 5/24*arctan(sqrt(x^3 - 1))","A",0
482,0,0,0,0.000000," ","integrate(x^6/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{x^{3} - 1}}\,{d x}"," ",0,"integrate(x^6/sqrt(x^3 - 1), x)","F",0
483,0,0,0,0.000000," ","integrate(x^3/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{x^{3} - 1}}\,{d x}"," ",0,"integrate(x^3/sqrt(x^3 - 1), x)","F",0
484,0,0,0,0.000000," ","integrate(1/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} - 1}}\,{d x}"," ",0,"integrate(1/sqrt(x^3 - 1), x)","F",0
485,0,0,0,0.000000," ","integrate(1/x^3/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} - 1} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(x^3 - 1)*x^3), x)","F",0
486,0,0,0,0.000000," ","integrate(1/x^6/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} - 1} x^{6}}\,{d x}"," ",0,"integrate(1/(sqrt(x^3 - 1)*x^6), x)","F",0
487,0,0,0,0.000000," ","integrate(x^7/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{7}}{\sqrt{x^{3} - 1}}\,{d x}"," ",0,"integrate(x^7/sqrt(x^3 - 1), x)","F",0
488,0,0,0,0.000000," ","integrate(x^4/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{x^{3} - 1}}\,{d x}"," ",0,"integrate(x^4/sqrt(x^3 - 1), x)","F",0
489,0,0,0,0.000000," ","integrate(x/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{3} - 1}}\,{d x}"," ",0,"integrate(x/sqrt(x^3 - 1), x)","F",0
490,0,0,0,0.000000," ","integrate(1/x^2/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} - 1} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x^3 - 1)*x^2), x)","F",0
491,0,0,0,0.000000," ","integrate(1/x^5/(x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{3} - 1} x^{5}}\,{d x}"," ",0,"integrate(1/(sqrt(x^3 - 1)*x^5), x)","F",0
492,1,45,0,1.315572," ","integrate(x^11/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{2}{21} \, {\left(-x^{3} - 1\right)}^{\frac{7}{2}} + \frac{2}{5} \, {\left(-x^{3} - 1\right)}^{\frac{5}{2}} + \frac{2}{3} \, {\left(-x^{3} - 1\right)}^{\frac{3}{2}} + \frac{2}{3} \, \sqrt{-x^{3} - 1}"," ",0,"2/21*(-x^3 - 1)^(7/2) + 2/5*(-x^3 - 1)^(5/2) + 2/3*(-x^3 - 1)^(3/2) + 2/3*sqrt(-x^3 - 1)","A",0
493,1,34,0,1.337881," ","integrate(x^8/(-x^3-1)^(1/2),x, algorithm=""maxima"")","-\frac{2}{15} \, {\left(-x^{3} - 1\right)}^{\frac{5}{2}} - \frac{4}{9} \, {\left(-x^{3} - 1\right)}^{\frac{3}{2}} - \frac{2}{3} \, \sqrt{-x^{3} - 1}"," ",0,"-2/15*(-x^3 - 1)^(5/2) - 4/9*(-x^3 - 1)^(3/2) - 2/3*sqrt(-x^3 - 1)","A",0
494,1,23,0,1.322015," ","integrate(x^5/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, {\left(-x^{3} - 1\right)}^{\frac{3}{2}} + \frac{2}{3} \, \sqrt{-x^{3} - 1}"," ",0,"2/9*(-x^3 - 1)^(3/2) + 2/3*sqrt(-x^3 - 1)","A",0
495,1,11,0,1.239196," ","integrate(x^2/(-x^3-1)^(1/2),x, algorithm=""maxima"")","-\frac{2}{3} \, \sqrt{-x^{3} - 1}"," ",0,"-2/3*sqrt(-x^3 - 1)","A",0
496,1,12,0,2.934247," ","integrate(1/x/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, \arctan\left(\sqrt{-x^{3} - 1}\right)"," ",0,"2/3*arctan(sqrt(-x^3 - 1))","A",0
497,1,27,0,2.984456," ","integrate(1/x^4/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-x^{3} - 1}}{3 \, x^{3}} - \frac{1}{3} \, \arctan\left(\sqrt{-x^{3} - 1}\right)"," ",0,"1/3*sqrt(-x^3 - 1)/x^3 - 1/3*arctan(sqrt(-x^3 - 1))","A",0
498,1,56,0,3.016445," ","integrate(1/x^7/(-x^3-1)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(-x^{3} - 1\right)}^{\frac{3}{2}} + 5 \, \sqrt{-x^{3} - 1}}{12 \, {\left(2 \, x^{3} - {\left(x^{3} + 1\right)}^{2} + 1\right)}} + \frac{1}{4} \, \arctan\left(\sqrt{-x^{3} - 1}\right)"," ",0,"-1/12*(3*(-x^3 - 1)^(3/2) + 5*sqrt(-x^3 - 1))/(2*x^3 - (x^3 + 1)^2 + 1) + 1/4*arctan(sqrt(-x^3 - 1))","A",0
499,1,74,0,3.000470," ","integrate(1/x^10/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\frac{15 \, {\left(-x^{3} - 1\right)}^{\frac{5}{2}} + 40 \, {\left(-x^{3} - 1\right)}^{\frac{3}{2}} + 33 \, \sqrt{-x^{3} - 1}}{72 \, {\left({\left(x^{3} + 1\right)}^{3} + 3 \, x^{3} - 3 \, {\left(x^{3} + 1\right)}^{2} + 2\right)}} - \frac{5}{24} \, \arctan\left(\sqrt{-x^{3} - 1}\right)"," ",0,"1/72*(15*(-x^3 - 1)^(5/2) + 40*(-x^3 - 1)^(3/2) + 33*sqrt(-x^3 - 1))/((x^3 + 1)^3 + 3*x^3 - 3*(x^3 + 1)^2 + 2) - 5/24*arctan(sqrt(-x^3 - 1))","A",0
500,0,0,0,0.000000," ","integrate(x^6/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{-x^{3} - 1}}\,{d x}"," ",0,"integrate(x^6/sqrt(-x^3 - 1), x)","F",0
501,0,0,0,0.000000," ","integrate(x^3/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{-x^{3} - 1}}\,{d x}"," ",0,"integrate(x^3/sqrt(-x^3 - 1), x)","F",0
502,0,0,0,0.000000," ","integrate(1/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} - 1}}\,{d x}"," ",0,"integrate(1/sqrt(-x^3 - 1), x)","F",0
503,0,0,0,0.000000," ","integrate(1/x^3/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} - 1} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^3 - 1)*x^3), x)","F",0
504,0,0,0,0.000000," ","integrate(1/x^6/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} - 1} x^{6}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^3 - 1)*x^6), x)","F",0
505,0,0,0,0.000000," ","integrate(x^7/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{7}}{\sqrt{-x^{3} - 1}}\,{d x}"," ",0,"integrate(x^7/sqrt(-x^3 - 1), x)","F",0
506,0,0,0,0.000000," ","integrate(x^4/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{-x^{3} - 1}}\,{d x}"," ",0,"integrate(x^4/sqrt(-x^3 - 1), x)","F",0
507,0,0,0,0.000000," ","integrate(x/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{-x^{3} - 1}}\,{d x}"," ",0,"integrate(x/sqrt(-x^3 - 1), x)","F",0
508,0,0,0,0.000000," ","integrate(1/x^2/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} - 1} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^3 - 1)*x^2), x)","F",0
509,0,0,0,0.000000," ","integrate(1/x^5/(-x^3-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{3} - 1} x^{5}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^3 - 1)*x^5), x)","F",0
510,1,64,0,1.336161," ","integrate(x^11*(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{13}{3}}}{13 \, b^{4}} - \frac{3 \, {\left(b x^{3} + a\right)}^{\frac{10}{3}} a}{10 \, b^{4}} + \frac{3 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} a^{2}}{7 \, b^{4}} - \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}} a^{3}}{4 \, b^{4}}"," ",0,"1/13*(b*x^3 + a)^(13/3)/b^4 - 3/10*(b*x^3 + a)^(10/3)*a/b^4 + 3/7*(b*x^3 + a)^(7/3)*a^2/b^4 - 1/4*(b*x^3 + a)^(4/3)*a^3/b^4","A",0
511,1,47,0,1.317371," ","integrate(x^8*(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{10}{3}}}{10 \, b^{3}} - \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} a}{7 \, b^{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}} a^{2}}{4 \, b^{3}}"," ",0,"1/10*(b*x^3 + a)^(10/3)/b^3 - 2/7*(b*x^3 + a)^(7/3)*a/b^3 + 1/4*(b*x^3 + a)^(4/3)*a^2/b^3","A",0
512,1,30,0,1.374982," ","integrate(x^5*(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{7}{3}}}{7 \, b^{2}} - \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}} a}{4 \, b^{2}}"," ",0,"1/7*(b*x^3 + a)^(7/3)/b^2 - 1/4*(b*x^3 + a)^(4/3)*a/b^2","A",0
513,1,14,0,1.297761," ","integrate(x^2*(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{4 \, b}"," ",0,"1/4*(b*x^3 + a)^(4/3)/b","A",0
514,1,95,0,2.877762," ","integrate((b*x^3+a)^(1/3)/x,x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} a^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right) - \frac{1}{6} \, a^{\frac{1}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + \frac{1}{3} \, a^{\frac{1}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + {\left(b x^{3} + a\right)}^{\frac{1}{3}}"," ",0,"-1/3*sqrt(3)*a^(1/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3)) - 1/6*a^(1/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3)) + 1/3*a^(1/3)*log((b*x^3 + a)^(1/3) - a^(1/3)) + (b*x^3 + a)^(1/3)","A",0
515,1,103,0,2.970222," ","integrate((b*x^3+a)^(1/3)/x^4,x, algorithm=""maxima"")","-\frac{\sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{2}{3}}} - \frac{b \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{18 \, a^{\frac{2}{3}}} + \frac{b \log\left({\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{9 \, a^{\frac{2}{3}}} - \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{3 \, x^{3}}"," ",0,"-1/9*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(2/3) - 1/18*b*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) + 1/9*b*log((b*x^3 + a)^(1/3) - a^(1/3))/a^(2/3) - 1/3*(b*x^3 + a)^(1/3)/x^3","A",0
516,1,181,0,2.985316," ","integrate(x^4*(b*x^3+a)^(1/3),x, algorithm=""maxima"")","-\frac{\sqrt{3} a^{2} \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{27 \, b^{\frac{5}{3}}} - \frac{a^{2} \log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{54 \, b^{\frac{5}{3}}} + \frac{a^{2} \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{27 \, b^{\frac{5}{3}}} + \frac{\frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{2} b}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}} a^{2}}{x^{4}}}{18 \, {\left(b^{3} - \frac{2 \, {\left(b x^{3} + a\right)} b^{2}}{x^{3}} + \frac{{\left(b x^{3} + a\right)}^{2} b}{x^{6}}\right)}}"," ",0,"-1/27*sqrt(3)*a^2*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(5/3) - 1/54*a^2*log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2)/b^(5/3) + 1/27*a^2*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x)/b^(5/3) + 1/18*(2*(b*x^3 + a)^(1/3)*a^2*b/x + (b*x^3 + a)^(4/3)*a^2/x^4)/(b^3 - 2*(b*x^3 + a)*b^2/x^3 + (b*x^3 + a)^2*b/x^6)","A",0
517,1,134,0,2.975941," ","integrate(x*(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{9 \, b^{\frac{2}{3}}} + \frac{a \log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{18 \, b^{\frac{2}{3}}} - \frac{a \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{9 \, b^{\frac{2}{3}}} - \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} a}{3 \, {\left(b - \frac{b x^{3} + a}{x^{3}}\right)} x}"," ",0,"1/9*sqrt(3)*a*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(2/3) + 1/18*a*log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2)/b^(2/3) - 1/9*a*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x)/b^(2/3) - 1/3*(b*x^3 + a)^(1/3)*a/((b - (b*x^3 + a)/x^3)*x)","A",0
518,1,114,0,2.866987," ","integrate((b*x^3+a)^(1/3)/x^2,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} b^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right) + \frac{1}{6} \, b^{\frac{1}{3}} \log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{3} \, b^{\frac{1}{3}} \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right) - \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}"," ",0,"1/3*sqrt(3)*b^(1/3)*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3)) + 1/6*b^(1/3)*log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2) - 1/3*b^(1/3)*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x) - (b*x^3 + a)^(1/3)/x","A",0
519,1,17,0,1.320858," ","integrate((b*x^3+a)^(1/3)/x^5,x, algorithm=""maxima"")","-\frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{4 \, a x^{4}}"," ",0,"-1/4*(b*x^3 + a)^(4/3)/(a*x^4)","A",0
520,1,35,0,1.336389," ","integrate((b*x^3+a)^(1/3)/x^8,x, algorithm=""maxima"")","\frac{\frac{7 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} b}{x^{4}} - \frac{4 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}}}{x^{7}}}{28 \, a^{2}}"," ",0,"1/28*(7*(b*x^3 + a)^(4/3)*b/x^4 - 4*(b*x^3 + a)^(7/3)/x^7)/a^2","A",0
521,1,52,0,1.337741," ","integrate((b*x^3+a)^(1/3)/x^11,x, algorithm=""maxima"")","-\frac{\frac{35 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} b^{2}}{x^{4}} - \frac{40 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} b}{x^{7}} + \frac{14 \, {\left(b x^{3} + a\right)}^{\frac{10}{3}}}{x^{10}}}{140 \, a^{3}}"," ",0,"-1/140*(35*(b*x^3 + a)^(4/3)*b^2/x^4 - 40*(b*x^3 + a)^(7/3)*b/x^7 + 14*(b*x^3 + a)^(10/3)/x^10)/a^3","A",0
522,1,69,0,1.373123," ","integrate((b*x^3+a)^(1/3)/x^14,x, algorithm=""maxima"")","\frac{\frac{455 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} b^{3}}{x^{4}} - \frac{780 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} b^{2}}{x^{7}} + \frac{546 \, {\left(b x^{3} + a\right)}^{\frac{10}{3}} b}{x^{10}} - \frac{140 \, {\left(b x^{3} + a\right)}^{\frac{13}{3}}}{x^{13}}}{1820 \, a^{4}}"," ",0,"1/1820*(455*(b*x^3 + a)^(4/3)*b^3/x^4 - 780*(b*x^3 + a)^(7/3)*b^2/x^7 + 546*(b*x^3 + a)^(10/3)*b/x^10 - 140*(b*x^3 + a)^(13/3)/x^13)/a^4","A",0
523,0,0,0,0.000000," ","integrate(x^3*(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{1}{3}} x^{3}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)*x^3, x)","F",0
524,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3), x)","F",0
525,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x^{3}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/x^3, x)","F",0
526,0,0,0,0.000000," ","integrate((b*x^3+a)^(1/3)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x^{6}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)/x^6, x)","F",0
527,1,64,0,1.354030," ","integrate(x^11*(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{14}{3}}}{14 \, b^{4}} - \frac{3 \, {\left(b x^{3} + a\right)}^{\frac{11}{3}} a}{11 \, b^{4}} + \frac{3 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}} a^{2}}{8 \, b^{4}} - \frac{{\left(b x^{3} + a\right)}^{\frac{5}{3}} a^{3}}{5 \, b^{4}}"," ",0,"1/14*(b*x^3 + a)^(14/3)/b^4 - 3/11*(b*x^3 + a)^(11/3)*a/b^4 + 3/8*(b*x^3 + a)^(8/3)*a^2/b^4 - 1/5*(b*x^3 + a)^(5/3)*a^3/b^4","A",0
528,1,47,0,1.307396," ","integrate(x^8*(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{11}{3}}}{11 \, b^{3}} - \frac{{\left(b x^{3} + a\right)}^{\frac{8}{3}} a}{4 \, b^{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{5}{3}} a^{2}}{5 \, b^{3}}"," ",0,"1/11*(b*x^3 + a)^(11/3)/b^3 - 1/4*(b*x^3 + a)^(8/3)*a/b^3 + 1/5*(b*x^3 + a)^(5/3)*a^2/b^3","A",0
529,1,30,0,1.323945," ","integrate(x^5*(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{8}{3}}}{8 \, b^{2}} - \frac{{\left(b x^{3} + a\right)}^{\frac{5}{3}} a}{5 \, b^{2}}"," ",0,"1/8*(b*x^3 + a)^(8/3)/b^2 - 1/5*(b*x^3 + a)^(5/3)*a/b^2","A",0
530,1,14,0,1.331764," ","integrate(x^2*(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{5}{3}}}{5 \, b}"," ",0,"1/5*(b*x^3 + a)^(5/3)/b","A",0
531,1,97,0,2.946820," ","integrate((b*x^3+a)^(2/3)/x,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} a^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right) - \frac{1}{6} \, a^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right) + \frac{1}{3} \, a^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right) + \frac{1}{2} \, {\left(b x^{3} + a\right)}^{\frac{2}{3}}"," ",0,"1/3*sqrt(3)*a^(2/3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3)) - 1/6*a^(2/3)*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3)) + 1/3*a^(2/3)*log((b*x^3 + a)^(1/3) - a^(1/3)) + 1/2*(b*x^3 + a)^(2/3)","A",0
532,1,103,0,2.943407," ","integrate((b*x^3+a)^(2/3)/x^4,x, algorithm=""maxima"")","\frac{2 \, \sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{1}{3}}} - \frac{b \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{9 \, a^{\frac{1}{3}}} + \frac{2 \, b \log\left({\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{9 \, a^{\frac{1}{3}}} - \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{3 \, x^{3}}"," ",0,"2/9*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(1/3) - 1/9*b*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(1/3) + 2/9*b*log((b*x^3 + a)^(1/3) - a^(1/3))/a^(1/3) - 1/3*(b*x^3 + a)^(2/3)/x^3","A",0
533,0,0,0,0.000000," ","integrate(x^4*(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{2}{3}} x^{4}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)*x^4, x)","F",0
534,0,0,0,0.000000," ","integrate(x*(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{2}{3}} x\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)*x, x)","F",0
535,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)/x^2, x)","F",0
536,0,0,0,0.000000," ","integrate((b*x^3+a)^(2/3)/x^5,x, algorithm=""maxima"")","\int \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{5}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)/x^5, x)","F",0
537,1,181,0,2.897822," ","integrate(x^3*(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{\sqrt{3} a^{2} \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{27 \, b^{\frac{4}{3}}} - \frac{a^{2} \log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{54 \, b^{\frac{4}{3}}} + \frac{a^{2} \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{27 \, b^{\frac{4}{3}}} + \frac{\frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} a^{2} b}{x^{2}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} a^{2}}{x^{5}}}{18 \, {\left(b^{3} - \frac{2 \, {\left(b x^{3} + a\right)} b^{2}}{x^{3}} + \frac{{\left(b x^{3} + a\right)}^{2} b}{x^{6}}\right)}}"," ",0,"1/27*sqrt(3)*a^2*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(4/3) - 1/54*a^2*log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2)/b^(4/3) + 1/27*a^2*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x)/b^(4/3) + 1/18*((b*x^3 + a)^(2/3)*a^2*b/x^2 + 2*(b*x^3 + a)^(5/3)*a^2/x^5)/(b^3 - 2*(b*x^3 + a)*b^2/x^3 + (b*x^3 + a)^2*b/x^6)","B",0
538,1,134,0,3.007057," ","integrate((b*x^3+a)^(2/3),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{9 \, b^{\frac{1}{3}}} + \frac{a \log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{9 \, b^{\frac{1}{3}}} - \frac{2 \, a \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{9 \, b^{\frac{1}{3}}} - \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} a}{3 \, {\left(b - \frac{b x^{3} + a}{x^{3}}\right)} x^{2}}"," ",0,"-2/9*sqrt(3)*a*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(1/3) + 1/9*a*log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2)/b^(1/3) - 2/9*a*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x)/b^(1/3) - 1/3*(b*x^3 + a)^(2/3)*a/((b - (b*x^3 + a)/x^3)*x^2)","A",0
539,1,114,0,3.024591," ","integrate((b*x^3+a)^(2/3)/x^3,x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} b^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right) + \frac{1}{6} \, b^{\frac{2}{3}} \log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{3} \, b^{\frac{2}{3}} \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right) - \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{2 \, x^{2}}"," ",0,"-1/3*sqrt(3)*b^(2/3)*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3)) + 1/6*b^(2/3)*log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2) - 1/3*b^(2/3)*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x) - 1/2*(b*x^3 + a)^(2/3)/x^2","A",0
540,1,17,0,1.341645," ","integrate((b*x^3+a)^(2/3)/x^6,x, algorithm=""maxima"")","-\frac{{\left(b x^{3} + a\right)}^{\frac{5}{3}}}{5 \, a x^{5}}"," ",0,"-1/5*(b*x^3 + a)^(5/3)/(a*x^5)","A",0
541,1,35,0,1.241374," ","integrate((b*x^3+a)^(2/3)/x^9,x, algorithm=""maxima"")","\frac{\frac{8 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} b}{x^{5}} - \frac{5 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}}}{x^{8}}}{40 \, a^{2}}"," ",0,"1/40*(8*(b*x^3 + a)^(5/3)*b/x^5 - 5*(b*x^3 + a)^(8/3)/x^8)/a^2","A",0
542,1,52,0,1.312630," ","integrate((b*x^3+a)^(2/3)/x^12,x, algorithm=""maxima"")","-\frac{\frac{44 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} b^{2}}{x^{5}} - \frac{55 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}} b}{x^{8}} + \frac{20 \, {\left(b x^{3} + a\right)}^{\frac{11}{3}}}{x^{11}}}{220 \, a^{3}}"," ",0,"-1/220*(44*(b*x^3 + a)^(5/3)*b^2/x^5 - 55*(b*x^3 + a)^(8/3)*b/x^8 + 20*(b*x^3 + a)^(11/3)/x^11)/a^3","A",0
543,1,34,0,1.321520," ","integrate(x^8*(-x^3+1)^(6/5),x, algorithm=""maxima"")","-\frac{5}{63} \, {\left(-x^{3} + 1\right)}^{\frac{21}{5}} + \frac{5}{24} \, {\left(-x^{3} + 1\right)}^{\frac{16}{5}} - \frac{5}{33} \, {\left(-x^{3} + 1\right)}^{\frac{11}{5}}"," ",0,"-5/63*(-x^3 + 1)^(21/5) + 5/24*(-x^3 + 1)^(16/5) - 5/33*(-x^3 + 1)^(11/5)","A",0
544,1,64,0,1.381322," ","integrate(x^11/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{11}{3}}}{11 \, b^{4}} - \frac{3 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}} a}{8 \, b^{4}} + \frac{3 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} a^{2}}{5 \, b^{4}} - \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} a^{3}}{2 \, b^{4}}"," ",0,"1/11*(b*x^3 + a)^(11/3)/b^4 - 3/8*(b*x^3 + a)^(8/3)*a/b^4 + 3/5*(b*x^3 + a)^(5/3)*a^2/b^4 - 1/2*(b*x^3 + a)^(2/3)*a^3/b^4","A",0
545,1,47,0,1.333255," ","integrate(x^8/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{8}{3}}}{8 \, b^{3}} - \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} a}{5 \, b^{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} a^{2}}{2 \, b^{3}}"," ",0,"1/8*(b*x^3 + a)^(8/3)/b^3 - 2/5*(b*x^3 + a)^(5/3)*a/b^3 + 1/2*(b*x^3 + a)^(2/3)*a^2/b^3","A",0
546,1,30,0,1.322897," ","integrate(x^5/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{5}{3}}}{5 \, b^{2}} - \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} a}{2 \, b^{2}}"," ",0,"1/5*(b*x^3 + a)^(5/3)/b^2 - 1/2*(b*x^3 + a)^(2/3)*a/b^2","A",0
547,1,14,0,1.307980," ","integrate(x^2/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{2 \, b}"," ",0,"1/2*(b*x^3 + a)^(2/3)/b","A",0
548,1,86,0,3.022127," ","integrate(1/x/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{1}{3}}} - \frac{\log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{6 \, a^{\frac{1}{3}}} + \frac{\log\left({\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{3 \, a^{\frac{1}{3}}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(1/3) - 1/6*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(1/3) + 1/3*log((b*x^3 + a)^(1/3) - a^(1/3))/a^(1/3)","A",0
549,1,118,0,3.034528," ","integrate(1/x^4/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","-\frac{\sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{4}{3}}} - \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} b}{3 \, {\left({\left(b x^{3} + a\right)} a - a^{2}\right)}} + \frac{b \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{18 \, a^{\frac{4}{3}}} - \frac{b \log\left({\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{9 \, a^{\frac{4}{3}}}"," ",0,"-1/9*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(4/3) - 1/3*(b*x^3 + a)^(2/3)*b/((b*x^3 + a)*a - a^2) + 1/18*b*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(4/3) - 1/9*b*log((b*x^3 + a)^(1/3) - a^(1/3))/a^(4/3)","A",0
550,0,0,0,0.000000," ","integrate(x^7/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{7}}{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^7/(b*x^3 + a)^(1/3), x)","F",0
551,0,0,0,0.000000," ","integrate(x^4/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^4/(b*x^3 + a)^(1/3), x)","F",0
552,0,0,0,0.000000," ","integrate(x/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x/(b*x^3 + a)^(1/3), x)","F",0
553,0,0,0,0.000000," ","integrate(1/x^2/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(1/3)*x^2), x)","F",0
554,0,0,0,0.000000," ","integrate(1/x^5/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{1}{3}} x^{5}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(1/3)*x^5), x)","F",0
555,1,137,0,2.963848," ","integrate(x^3/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{\sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{9 \, b^{\frac{4}{3}}} - \frac{a \log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{18 \, b^{\frac{4}{3}}} + \frac{a \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{9 \, b^{\frac{4}{3}}} - \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}} a}{3 \, {\left(b^{2} - \frac{{\left(b x^{3} + a\right)} b}{x^{3}}\right)} x^{2}}"," ",0,"1/9*sqrt(3)*a*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(4/3) - 1/18*a*log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2)/b^(4/3) + 1/9*a*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x)/b^(4/3) - 1/3*(b*x^3 + a)^(2/3)*a/((b^2 - (b*x^3 + a)*b/x^3)*x^2)","A",0
556,1,100,0,3.032679," ","integrate(1/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{3 \, b^{\frac{1}{3}}} + \frac{\log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{6 \, b^{\frac{1}{3}}} - \frac{\log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{3 \, b^{\frac{1}{3}}}"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(1/3) + 1/6*log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2)/b^(1/3) - 1/3*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x)/b^(1/3)","A",0
557,1,17,0,1.338451," ","integrate(1/x^3/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","-\frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{2 \, a x^{2}}"," ",0,"-1/2*(b*x^3 + a)^(2/3)/(a*x^2)","A",0
558,1,35,0,1.354328," ","integrate(1/x^6/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{\frac{5 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} b}{x^{2}} - \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}}}{x^{5}}}{10 \, a^{2}}"," ",0,"1/10*(5*(b*x^3 + a)^(2/3)*b/x^2 - 2*(b*x^3 + a)^(5/3)/x^5)/a^2","A",0
559,1,52,0,1.312494," ","integrate(1/x^9/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","-\frac{\frac{20 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} b^{2}}{x^{2}} - \frac{16 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} b}{x^{5}} + \frac{5 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}}}{x^{8}}}{40 \, a^{3}}"," ",0,"-1/40*(20*(b*x^3 + a)^(2/3)*b^2/x^2 - 16*(b*x^3 + a)^(5/3)*b/x^5 + 5*(b*x^3 + a)^(8/3)/x^8)/a^3","A",0
560,1,69,0,1.292144," ","integrate(1/x^12/(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\frac{\frac{220 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} b^{3}}{x^{2}} - \frac{264 \, {\left(b x^{3} + a\right)}^{\frac{5}{3}} b^{2}}{x^{5}} + \frac{165 \, {\left(b x^{3} + a\right)}^{\frac{8}{3}} b}{x^{8}} - \frac{40 \, {\left(b x^{3} + a\right)}^{\frac{11}{3}}}{x^{11}}}{440 \, a^{4}}"," ",0,"1/440*(220*(b*x^3 + a)^(2/3)*b^3/x^2 - 264*(b*x^3 + a)^(5/3)*b^2/x^5 + 165*(b*x^3 + a)^(8/3)*b/x^8 - 40*(b*x^3 + a)^(11/3)/x^11)/a^4","A",0
561,1,64,0,1.350591," ","integrate(x^11/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{10}{3}}}{10 \, b^{4}} - \frac{3 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} a}{7 \, b^{4}} + \frac{3 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} a^{2}}{4 \, b^{4}} - \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{3}}{b^{4}}"," ",0,"1/10*(b*x^3 + a)^(10/3)/b^4 - 3/7*(b*x^3 + a)^(7/3)*a/b^4 + 3/4*(b*x^3 + a)^(4/3)*a^2/b^4 - (b*x^3 + a)^(1/3)*a^3/b^4","A",0
562,1,46,0,1.277955," ","integrate(x^8/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{7}{3}}}{7 \, b^{3}} - \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}} a}{2 \, b^{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{2}}{b^{3}}"," ",0,"1/7*(b*x^3 + a)^(7/3)/b^3 - 1/2*(b*x^3 + a)^(4/3)*a/b^3 + (b*x^3 + a)^(1/3)*a^2/b^3","A",0
563,1,30,0,1.390708," ","integrate(x^5/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{4 \, b^{2}} - \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} a}{b^{2}}"," ",0,"1/4*(b*x^3 + a)^(4/3)/b^2 - (b*x^3 + a)^(1/3)*a/b^2","A",0
564,1,13,0,1.268875," ","integrate(x^2/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{b}"," ",0,"(b*x^3 + a)^(1/3)/b","A",0
565,1,86,0,2.984992," ","integrate(1/x/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{2}{3}}} - \frac{\log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{6 \, a^{\frac{2}{3}}} + \frac{\log\left({\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{3 \, a^{\frac{2}{3}}}"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(2/3) - 1/6*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) + 1/3*log((b*x^3 + a)^(1/3) - a^(1/3))/a^(2/3)","A",0
566,1,118,0,2.958588," ","integrate(1/x^4/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{2 \, \sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{9 \, a^{\frac{5}{3}}} - \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b}{3 \, {\left({\left(b x^{3} + a\right)} a - a^{2}\right)}} + \frac{b \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} + {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{9 \, a^{\frac{5}{3}}} - \frac{2 \, b \log\left({\left(b x^{3} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{9 \, a^{\frac{5}{3}}}"," ",0,"2/9*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*(b*x^3 + a)^(1/3) + a^(1/3))/a^(1/3))/a^(5/3) - 1/3*(b*x^3 + a)^(1/3)*b/((b*x^3 + a)*a - a^2) + 1/9*b*log((b*x^3 + a)^(2/3) + (b*x^3 + a)^(1/3)*a^(1/3) + a^(2/3))/a^(5/3) - 2/9*b*log((b*x^3 + a)^(1/3) - a^(1/3))/a^(5/3)","A",0
567,1,184,0,3.004504," ","integrate(x^7/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{5 \, \sqrt{3} a^{2} \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{27 \, b^{\frac{8}{3}}} + \frac{5 \, a^{2} \log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{54 \, b^{\frac{8}{3}}} - \frac{5 \, a^{2} \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{27 \, b^{\frac{8}{3}}} + \frac{\frac{8 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} a^{2} b}{x} - \frac{5 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} a^{2}}{x^{4}}}{18 \, {\left(b^{4} - \frac{2 \, {\left(b x^{3} + a\right)} b^{3}}{x^{3}} + \frac{{\left(b x^{3} + a\right)}^{2} b^{2}}{x^{6}}\right)}}"," ",0,"5/27*sqrt(3)*a^2*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(8/3) + 5/54*a^2*log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2)/b^(8/3) - 5/27*a^2*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x)/b^(8/3) + 1/18*(8*(b*x^3 + a)^(1/3)*a^2*b/x - 5*(b*x^3 + a)^(4/3)*a^2/x^4)/(b^4 - 2*(b*x^3 + a)*b^3/x^3 + (b*x^3 + a)^2*b^2/x^6)","A",0
568,1,137,0,2.897202," ","integrate(x^4/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{9 \, b^{\frac{5}{3}}} - \frac{a \log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{9 \, b^{\frac{5}{3}}} + \frac{2 \, a \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{9 \, b^{\frac{5}{3}}} - \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} a}{3 \, {\left(b^{2} - \frac{{\left(b x^{3} + a\right)} b}{x^{3}}\right)} x}"," ",0,"-2/9*sqrt(3)*a*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(5/3) - 1/9*a*log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2)/b^(5/3) + 2/9*a*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x)/b^(5/3) - 1/3*(b*x^3 + a)^(1/3)*a/((b^2 - (b*x^3 + a)*b/x^3)*x)","A",0
569,1,100,0,2.879116," ","integrate(x/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{3 \, b^{\frac{2}{3}}} + \frac{\log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{6 \, b^{\frac{2}{3}}} - \frac{\log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{3 \, b^{\frac{2}{3}}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(2/3) + 1/6*log(b^(2/3) + (b*x^3 + a)^(1/3)*b^(1/3)/x + (b*x^3 + a)^(2/3)/x^2)/b^(2/3) - 1/3*log(-b^(1/3) + (b*x^3 + a)^(1/3)/x)/b^(2/3)","A",0
570,1,17,0,1.337795," ","integrate(1/x^2/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","-\frac{{\left(b x^{3} + a\right)}^{\frac{1}{3}}}{a x}"," ",0,"-(b*x^3 + a)^(1/3)/(a*x)","A",0
571,1,35,0,1.318851," ","integrate(1/x^5/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{\frac{4 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} b}{x} - \frac{{\left(b x^{3} + a\right)}^{\frac{4}{3}}}{x^{4}}}{4 \, a^{2}}"," ",0,"1/4*(4*(b*x^3 + a)^(1/3)*b/x - (b*x^3 + a)^(4/3)/x^4)/a^2","A",0
572,1,52,0,1.279934," ","integrate(1/x^8/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","-\frac{\frac{14 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{2}}{x} - \frac{7 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} b}{x^{4}} + \frac{2 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}}}{x^{7}}}{14 \, a^{3}}"," ",0,"-1/14*(14*(b*x^3 + a)^(1/3)*b^2/x - 7*(b*x^3 + a)^(4/3)*b/x^4 + 2*(b*x^3 + a)^(7/3)/x^7)/a^3","A",0
573,1,69,0,1.268788," ","integrate(1/x^11/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\frac{\frac{140 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} b^{3}}{x} - \frac{105 \, {\left(b x^{3} + a\right)}^{\frac{4}{3}} b^{2}}{x^{4}} + \frac{60 \, {\left(b x^{3} + a\right)}^{\frac{7}{3}} b}{x^{7}} - \frac{14 \, {\left(b x^{3} + a\right)}^{\frac{10}{3}}}{x^{10}}}{140 \, a^{4}}"," ",0,"1/140*(140*(b*x^3 + a)^(1/3)*b^3/x - 105*(b*x^3 + a)^(4/3)*b^2/x^4 + 60*(b*x^3 + a)^(7/3)*b/x^7 - 14*(b*x^3 + a)^(10/3)/x^10)/a^4","A",0
574,0,0,0,0.000000," ","integrate(x^6/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(x^6/(b*x^3 + a)^(2/3), x)","F",0
575,0,0,0,0.000000," ","integrate(x^3/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(x^3/(b*x^3 + a)^(2/3), x)","F",0
576,0,0,0,0.000000," ","integrate(1/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((b*x^3 + a)^(-2/3), x)","F",0
577,0,0,0,0.000000," ","integrate(1/x^3/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(2/3)*x^3), x)","F",0
578,0,0,0,0.000000," ","integrate(1/x^6/(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{3} + a\right)}^{\frac{2}{3}} x^{6}}\,{d x}"," ",0,"integrate(1/((b*x^3 + a)^(2/3)*x^6), x)","F",0
579,1,103,0,2.949107," ","integrate(1/(-b*x^3+a)^(1/3),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(-\frac{\sqrt{3} {\left(b^{\frac{1}{3}} - \frac{2 \, {\left(-b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{3 \, b^{\frac{1}{3}}} - \frac{\log\left(b^{\frac{2}{3}} - \frac{{\left(-b x^{3} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{x} + \frac{{\left(-b x^{3} + a\right)}^{\frac{2}{3}}}{x^{2}}\right)}{6 \, b^{\frac{1}{3}}} + \frac{\log\left(b^{\frac{1}{3}} + \frac{{\left(-b x^{3} + a\right)}^{\frac{1}{3}}}{x}\right)}{3 \, b^{\frac{1}{3}}}"," ",0,"-1/3*sqrt(3)*arctan(-1/3*sqrt(3)*(b^(1/3) - 2*(-b*x^3 + a)^(1/3)/x)/b^(1/3))/b^(1/3) - 1/6*log(b^(2/3) - (-b*x^3 + a)^(1/3)*b^(1/3)/x + (-b*x^3 + a)^(2/3)/x^2)/b^(1/3) + 1/3*log(b^(1/3) + (-b*x^3 + a)^(1/3)/x)/b^(1/3)","A",0
580,1,69,0,2.888462," ","integrate(1/(x^3+2)^(1/3),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(x^{3} + 2\right)}^{\frac{1}{3}}}{x} + 1\right)}\right) + \frac{1}{6} \, \log\left(\frac{{\left(x^{3} + 2\right)}^{\frac{1}{3}}}{x} + \frac{{\left(x^{3} + 2\right)}^{\frac{2}{3}}}{x^{2}} + 1\right) - \frac{1}{3} \, \log\left(\frac{{\left(x^{3} + 2\right)}^{\frac{1}{3}}}{x} - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(x^3 + 2)^(1/3)/x + 1)) + 1/6*log((x^3 + 2)^(1/3)/x + (x^3 + 2)^(2/3)/x^2 + 1) - 1/3*log((x^3 + 2)^(1/3)/x - 1)","A",0
581,1,78,0,2.894521," ","integrate(x/(-x^3+1)^(2/3),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(\frac{2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x} - 1\right)}\right) - \frac{1}{3} \, \log\left(\frac{{\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x} + 1\right) + \frac{1}{6} \, \log\left(-\frac{{\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x} + \frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}} + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(-x^3 + 1)^(1/3)/x - 1)) - 1/3*log((-x^3 + 1)^(1/3)/x + 1) + 1/6*log(-(-x^3 + 1)^(1/3)/x + (-x^3 + 1)^(2/3)/x^2 + 1)","A",0
582,1,9,0,1.266849," ","integrate(x^2/(x^3+2)^(1/4),x, algorithm=""maxima"")","\frac{4}{9} \, {\left(x^{3} + 2\right)}^{\frac{3}{4}}"," ",0,"4/9*(x^3 + 2)^(3/4)","A",0
583,1,151,0,1.356419," ","integrate(x^m*(b*x^3+a)^8,x, algorithm=""maxima"")","\frac{b^{8} x^{m + 25}}{m + 25} + \frac{8 \, a b^{7} x^{m + 22}}{m + 22} + \frac{28 \, a^{2} b^{6} x^{m + 19}}{m + 19} + \frac{56 \, a^{3} b^{5} x^{m + 16}}{m + 16} + \frac{70 \, a^{4} b^{4} x^{m + 13}}{m + 13} + \frac{56 \, a^{5} b^{3} x^{m + 10}}{m + 10} + \frac{28 \, a^{6} b^{2} x^{m + 7}}{m + 7} + \frac{8 \, a^{7} b x^{m + 4}}{m + 4} + \frac{a^{8} x^{m + 1}}{m + 1}"," ",0,"b^8*x^(m + 25)/(m + 25) + 8*a*b^7*x^(m + 22)/(m + 22) + 28*a^2*b^6*x^(m + 19)/(m + 19) + 56*a^3*b^5*x^(m + 16)/(m + 16) + 70*a^4*b^4*x^(m + 13)/(m + 13) + 56*a^5*b^3*x^(m + 10)/(m + 10) + 28*a^6*b^2*x^(m + 7)/(m + 7) + 8*a^7*b*x^(m + 4)/(m + 4) + a^8*x^(m + 1)/(m + 1)","A",0
584,1,97,0,1.341892," ","integrate(x^m*(b*x^3+a)^5,x, algorithm=""maxima"")","\frac{b^{5} x^{m + 16}}{m + 16} + \frac{5 \, a b^{4} x^{m + 13}}{m + 13} + \frac{10 \, a^{2} b^{3} x^{m + 10}}{m + 10} + \frac{10 \, a^{3} b^{2} x^{m + 7}}{m + 7} + \frac{5 \, a^{4} b x^{m + 4}}{m + 4} + \frac{a^{5} x^{m + 1}}{m + 1}"," ",0,"b^5*x^(m + 16)/(m + 16) + 5*a*b^4*x^(m + 13)/(m + 13) + 10*a^2*b^3*x^(m + 10)/(m + 10) + 10*a^3*b^2*x^(m + 7)/(m + 7) + 5*a^4*b*x^(m + 4)/(m + 4) + a^5*x^(m + 1)/(m + 1)","A",0
585,1,61,0,1.360185," ","integrate(x^m*(b*x^3+a)^3,x, algorithm=""maxima"")","\frac{b^{3} x^{m + 10}}{m + 10} + \frac{3 \, a b^{2} x^{m + 7}}{m + 7} + \frac{3 \, a^{2} b x^{m + 4}}{m + 4} + \frac{a^{3} x^{m + 1}}{m + 1}"," ",0,"b^3*x^(m + 10)/(m + 10) + 3*a*b^2*x^(m + 7)/(m + 7) + 3*a^2*b*x^(m + 4)/(m + 4) + a^3*x^(m + 1)/(m + 1)","A",0
586,1,43,0,1.329437," ","integrate(x^m*(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{b^{2} x^{m + 7}}{m + 7} + \frac{2 \, a b x^{m + 4}}{m + 4} + \frac{a^{2} x^{m + 1}}{m + 1}"," ",0,"b^2*x^(m + 7)/(m + 7) + 2*a*b*x^(m + 4)/(m + 4) + a^2*x^(m + 1)/(m + 1)","A",0
587,1,25,0,1.299688," ","integrate(x^m*(b*x^3+a),x, algorithm=""maxima"")","\frac{b x^{m + 4}}{m + 4} + \frac{a x^{m + 1}}{m + 1}"," ",0,"b*x^(m + 4)/(m + 4) + a*x^(m + 1)/(m + 1)","A",0
588,0,0,0,0.000000," ","integrate(x^m/(b*x^3+a),x, algorithm=""maxima"")","\int \frac{x^{m}}{b x^{3} + a}\,{d x}"," ",0,"integrate(x^m/(b*x^3 + a), x)","F",0
589,0,0,0,0.000000," ","integrate(x^m/(b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate(x^m/(b*x^3 + a)^2, x)","F",0
590,0,0,0,0.000000," ","integrate(x^m/(b*x^3+a)^3,x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x^{3} + a\right)}^{3}}\,{d x}"," ",0,"integrate(x^m/(b*x^3 + a)^3, x)","F",0
591,0,0,0,0.000000," ","integrate(x^m*(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{3}{2}} x^{m}\,{d x}"," ",0,"integrate((b*x^3 + a)^(3/2)*x^m, x)","F",0
592,0,0,0,0.000000," ","integrate(x^m*(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{3} + a} x^{m}\,{d x}"," ",0,"integrate(sqrt(b*x^3 + a)*x^m, x)","F",0
593,0,0,0,0.000000," ","integrate(x^m/(b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{b x^{3} + a}}\,{d x}"," ",0,"integrate(x^m/sqrt(b*x^3 + a), x)","F",0
594,0,0,0,0.000000," ","integrate(x^m/(b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^m/(b*x^3 + a)^(3/2), x)","F",0
595,0,0,0,0.000000," ","integrate((c*x)^m*(b*x^3+a)^(4/3),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{4}{3}} \left(c x\right)^{m}\,{d x}"," ",0,"integrate((b*x^3 + a)^(4/3)*(c*x)^m, x)","F",0
596,0,0,0,0.000000," ","integrate((c*x)^m*(b*x^3+a)^(2/3),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{2}{3}} \left(c x\right)^{m}\,{d x}"," ",0,"integrate((b*x^3 + a)^(2/3)*(c*x)^m, x)","F",0
597,0,0,0,0.000000," ","integrate((c*x)^m*(b*x^3+a)^(1/3),x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{\frac{1}{3}} \left(c x\right)^{m}\,{d x}"," ",0,"integrate((b*x^3 + a)^(1/3)*(c*x)^m, x)","F",0
598,0,0,0,0.000000," ","integrate((c*x)^m*(b*x^3+a)^p,x, algorithm=""maxima"")","\int {\left(b x^{3} + a\right)}^{p} \left(c x\right)^{m}\,{d x}"," ",0,"integrate((b*x^3 + a)^p*(c*x)^m, x)","F",0
599,1,21,0,1.361610," ","integrate(x^2*(b*x^3+a)^p,x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)}^{p + 1}}{3 \, b {\left(p + 1\right)}}"," ",0,"1/3*(b*x^3 + a)^(p + 1)/(b*(p + 1))","A",0
600,1,47,0,1.331007," ","integrate(x^5*(b*x^3+a)^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(p + 1\right)} x^{6} + a b p x^{3} - a^{2}\right)} {\left(b x^{3} + a\right)}^{p}}{3 \, {\left(p^{2} + 3 \, p + 2\right)} b^{2}}"," ",0,"1/3*(b^2*(p + 1)*x^6 + a*b*p*x^3 - a^2)*(b*x^3 + a)^p/((p^2 + 3*p + 2)*b^2)","A",0
601,1,73,0,1.437081," ","integrate(x^8*(b*x^3+a)^p,x, algorithm=""maxima"")","\frac{{\left({\left(p^{2} + 3 \, p + 2\right)} b^{3} x^{9} + {\left(p^{2} + p\right)} a b^{2} x^{6} - 2 \, a^{2} b p x^{3} + 2 \, a^{3}\right)} {\left(b x^{3} + a\right)}^{p}}{3 \, {\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} b^{3}}"," ",0,"1/3*((p^2 + 3*p + 2)*b^3*x^9 + (p^2 + p)*a*b^2*x^6 - 2*a^2*b*p*x^3 + 2*a^3)*(b*x^3 + a)^p/((p^3 + 6*p^2 + 11*p + 6)*b^3)","A",0
602,1,106,0,1.433088," ","integrate(x^11*(b*x^3+a)^p,x, algorithm=""maxima"")","\frac{{\left({\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} b^{4} x^{12} + {\left(p^{3} + 3 \, p^{2} + 2 \, p\right)} a b^{3} x^{9} - 3 \, {\left(p^{2} + p\right)} a^{2} b^{2} x^{6} + 6 \, a^{3} b p x^{3} - 6 \, a^{4}\right)} {\left(b x^{3} + a\right)}^{p}}{3 \, {\left(p^{4} + 10 \, p^{3} + 35 \, p^{2} + 50 \, p + 24\right)} b^{4}}"," ",0,"1/3*((p^3 + 6*p^2 + 11*p + 6)*b^4*x^12 + (p^3 + 3*p^2 + 2*p)*a*b^3*x^9 - 3*(p^2 + p)*a^2*b^2*x^6 + 6*a^3*b*p*x^3 - 6*a^4)*(b*x^3 + a)^p/((p^4 + 10*p^3 + 35*p^2 + 50*p + 24)*b^4)","A",0
603,1,25,0,1.285941," ","integrate(x^m*(b*x^4+a),x, algorithm=""maxima"")","\frac{b x^{m + 5}}{m + 5} + \frac{a x^{m + 1}}{m + 1}"," ",0,"b*x^(m + 5)/(m + 5) + a*x^(m + 1)/(m + 1)","A",0
604,1,13,0,1.287460," ","integrate(x^5*(b*x^4+a),x, algorithm=""maxima"")","\frac{1}{10} \, b x^{10} + \frac{1}{6} \, a x^{6}"," ",0,"1/10*b*x^10 + 1/6*a*x^6","A",0
605,1,13,0,1.321909," ","integrate(x^4*(b*x^4+a),x, algorithm=""maxima"")","\frac{1}{9} \, b x^{9} + \frac{1}{5} \, a x^{5}"," ",0,"1/9*b*x^9 + 1/5*a*x^5","A",0
606,1,14,0,1.289757," ","integrate(x^3*(b*x^4+a),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{2}}{8 \, b}"," ",0,"1/8*(b*x^4 + a)^2/b","A",0
607,1,13,0,1.322140," ","integrate(x^2*(b*x^4+a),x, algorithm=""maxima"")","\frac{1}{7} \, b x^{7} + \frac{1}{3} \, a x^{3}"," ",0,"1/7*b*x^7 + 1/3*a*x^3","A",0
608,1,13,0,1.332629," ","integrate(x*(b*x^4+a),x, algorithm=""maxima"")","\frac{1}{6} \, b x^{6} + \frac{1}{2} \, a x^{2}"," ",0,"1/6*b*x^6 + 1/2*a*x^2","A",0
609,1,10,0,1.283850," ","integrate(b*x^4+a,x, algorithm=""maxima"")","\frac{1}{5} \, b x^{5} + a x"," ",0,"1/5*b*x^5 + a*x","A",0
610,1,14,0,1.321340," ","integrate((b*x^4+a)/x,x, algorithm=""maxima"")","\frac{1}{4} \, b x^{4} + \frac{1}{4} \, a \log\left(x^{4}\right)"," ",0,"1/4*b*x^4 + 1/4*a*log(x^4)","A",0
611,1,13,0,1.371418," ","integrate((b*x^4+a)/x^2,x, algorithm=""maxima"")","\frac{1}{3} \, b x^{3} - \frac{a}{x}"," ",0,"1/3*b*x^3 - a/x","A",0
612,1,13,0,1.333040," ","integrate((b*x^4+a)/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, b x^{2} - \frac{a}{2 \, x^{2}}"," ",0,"1/2*b*x^2 - 1/2*a/x^2","A",0
613,1,10,0,1.344067," ","integrate((b*x^4+a)/x^4,x, algorithm=""maxima"")","b x - \frac{a}{3 \, x^{3}}"," ",0,"b*x - 1/3*a/x^3","A",0
614,1,14,0,1.316155," ","integrate((b*x^4+a)/x^5,x, algorithm=""maxima"")","\frac{1}{4} \, b \log\left(x^{4}\right) - \frac{a}{4 \, x^{4}}"," ",0,"1/4*b*log(x^4) - 1/4*a/x^4","A",0
615,1,13,0,1.342008," ","integrate((b*x^4+a)/x^6,x, algorithm=""maxima"")","-\frac{5 \, b x^{4} + a}{5 \, x^{5}}"," ",0,"-1/5*(5*b*x^4 + a)/x^5","A",0
616,1,13,0,1.256608," ","integrate((b*x^4+a)/x^7,x, algorithm=""maxima"")","-\frac{3 \, b x^{4} + a}{6 \, x^{6}}"," ",0,"-1/6*(3*b*x^4 + a)/x^6","A",0
617,1,15,0,1.340010," ","integrate((b*x^4+a)/x^8,x, algorithm=""maxima"")","-\frac{7 \, b x^{4} + 3 \, a}{21 \, x^{7}}"," ",0,"-1/21*(7*b*x^4 + 3*a)/x^7","A",0
618,1,13,0,1.285773," ","integrate((b*x^4+a)/x^9,x, algorithm=""maxima"")","-\frac{2 \, b x^{4} + a}{8 \, x^{8}}"," ",0,"-1/8*(2*b*x^4 + a)/x^8","A",0
619,1,15,0,1.275196," ","integrate((b*x^4+a)/x^10,x, algorithm=""maxima"")","-\frac{9 \, b x^{4} + 5 \, a}{45 \, x^{9}}"," ",0,"-1/45*(9*b*x^4 + 5*a)/x^9","A",0
620,1,43,0,1.317798," ","integrate(x^m*(b*x^4+a)^2,x, algorithm=""maxima"")","\frac{b^{2} x^{m + 9}}{m + 9} + \frac{2 \, a b x^{m + 5}}{m + 5} + \frac{a^{2} x^{m + 1}}{m + 1}"," ",0,"b^2*x^(m + 9)/(m + 9) + 2*a*b*x^(m + 5)/(m + 5) + a^2*x^(m + 1)/(m + 1)","A",0
621,1,24,0,1.348416," ","integrate(x^5*(b*x^4+a)^2,x, algorithm=""maxima"")","\frac{1}{14} \, b^{2} x^{14} + \frac{1}{5} \, a b x^{10} + \frac{1}{6} \, a^{2} x^{6}"," ",0,"1/14*b^2*x^14 + 1/5*a*b*x^10 + 1/6*a^2*x^6","A",0
622,1,24,0,1.325614," ","integrate(x^4*(b*x^4+a)^2,x, algorithm=""maxima"")","\frac{1}{13} \, b^{2} x^{13} + \frac{2}{9} \, a b x^{9} + \frac{1}{5} \, a^{2} x^{5}"," ",0,"1/13*b^2*x^13 + 2/9*a*b*x^9 + 1/5*a^2*x^5","A",0
623,1,14,0,1.346359," ","integrate(x^3*(b*x^4+a)^2,x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{3}}{12 \, b}"," ",0,"1/12*(b*x^4 + a)^3/b","A",0
624,1,24,0,1.338250," ","integrate(x^2*(b*x^4+a)^2,x, algorithm=""maxima"")","\frac{1}{11} \, b^{2} x^{11} + \frac{2}{7} \, a b x^{7} + \frac{1}{3} \, a^{2} x^{3}"," ",0,"1/11*b^2*x^11 + 2/7*a*b*x^7 + 1/3*a^2*x^3","A",0
625,1,24,0,1.319476," ","integrate(x*(b*x^4+a)^2,x, algorithm=""maxima"")","\frac{1}{10} \, b^{2} x^{10} + \frac{1}{3} \, a b x^{6} + \frac{1}{2} \, a^{2} x^{2}"," ",0,"1/10*b^2*x^10 + 1/3*a*b*x^6 + 1/2*a^2*x^2","A",0
626,1,21,0,1.328049," ","integrate((b*x^4+a)^2,x, algorithm=""maxima"")","\frac{1}{9} \, b^{2} x^{9} + \frac{2}{5} \, a b x^{5} + a^{2} x"," ",0,"1/9*b^2*x^9 + 2/5*a*b*x^5 + a^2*x","A",0
627,1,25,0,1.316153," ","integrate((b*x^4+a)^2/x,x, algorithm=""maxima"")","\frac{1}{8} \, b^{2} x^{8} + \frac{1}{2} \, a b x^{4} + \frac{1}{4} \, a^{2} \log\left(x^{4}\right)"," ",0,"1/8*b^2*x^8 + 1/2*a*b*x^4 + 1/4*a^2*log(x^4)","A",0
628,1,24,0,1.297370," ","integrate((b*x^4+a)^2/x^2,x, algorithm=""maxima"")","\frac{1}{7} \, b^{2} x^{7} + \frac{2}{3} \, a b x^{3} - \frac{a^{2}}{x}"," ",0,"1/7*b^2*x^7 + 2/3*a*b*x^3 - a^2/x","A",0
629,1,23,0,1.322253," ","integrate((b*x^4+a)^2/x^3,x, algorithm=""maxima"")","\frac{1}{6} \, b^{2} x^{6} + a b x^{2} - \frac{a^{2}}{2 \, x^{2}}"," ",0,"1/6*b^2*x^6 + a*b*x^2 - 1/2*a^2/x^2","A",0
630,1,22,0,1.354919," ","integrate((b*x^4+a)^2/x^4,x, algorithm=""maxima"")","\frac{1}{5} \, b^{2} x^{5} + 2 \, a b x - \frac{a^{2}}{3 \, x^{3}}"," ",0,"1/5*b^2*x^5 + 2*a*b*x - 1/3*a^2/x^3","A",0
631,1,25,0,1.277570," ","integrate((b*x^4+a)^2/x^5,x, algorithm=""maxima"")","\frac{1}{4} \, b^{2} x^{4} + \frac{1}{2} \, a b \log\left(x^{4}\right) - \frac{a^{2}}{4 \, x^{4}}"," ",0,"1/4*b^2*x^4 + 1/2*a*b*log(x^4) - 1/4*a^2/x^4","A",0
632,1,61,0,1.336236," ","integrate(x^m*(b*x^4+a)^3,x, algorithm=""maxima"")","\frac{b^{3} x^{m + 13}}{m + 13} + \frac{3 \, a b^{2} x^{m + 9}}{m + 9} + \frac{3 \, a^{2} b x^{m + 5}}{m + 5} + \frac{a^{3} x^{m + 1}}{m + 1}"," ",0,"b^3*x^(m + 13)/(m + 13) + 3*a*b^2*x^(m + 9)/(m + 9) + 3*a^2*b*x^(m + 5)/(m + 5) + a^3*x^(m + 1)/(m + 1)","A",0
633,1,35,0,1.340855," ","integrate(x^5*(b*x^4+a)^3,x, algorithm=""maxima"")","\frac{1}{18} \, b^{3} x^{18} + \frac{3}{14} \, a b^{2} x^{14} + \frac{3}{10} \, a^{2} b x^{10} + \frac{1}{6} \, a^{3} x^{6}"," ",0,"1/18*b^3*x^18 + 3/14*a*b^2*x^14 + 3/10*a^2*b*x^10 + 1/6*a^3*x^6","A",0
634,1,35,0,1.339652," ","integrate(x^4*(b*x^4+a)^3,x, algorithm=""maxima"")","\frac{1}{17} \, b^{3} x^{17} + \frac{3}{13} \, a b^{2} x^{13} + \frac{1}{3} \, a^{2} b x^{9} + \frac{1}{5} \, a^{3} x^{5}"," ",0,"1/17*b^3*x^17 + 3/13*a*b^2*x^13 + 1/3*a^2*b*x^9 + 1/5*a^3*x^5","A",0
635,1,14,0,1.322373," ","integrate(x^3*(b*x^4+a)^3,x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{4}}{16 \, b}"," ",0,"1/16*(b*x^4 + a)^4/b","A",0
636,1,35,0,1.243754," ","integrate(x^2*(b*x^4+a)^3,x, algorithm=""maxima"")","\frac{1}{15} \, b^{3} x^{15} + \frac{3}{11} \, a b^{2} x^{11} + \frac{3}{7} \, a^{2} b x^{7} + \frac{1}{3} \, a^{3} x^{3}"," ",0,"1/15*b^3*x^15 + 3/11*a*b^2*x^11 + 3/7*a^2*b*x^7 + 1/3*a^3*x^3","A",0
637,1,35,0,1.337125," ","integrate(x*(b*x^4+a)^3,x, algorithm=""maxima"")","\frac{1}{14} \, b^{3} x^{14} + \frac{3}{10} \, a b^{2} x^{10} + \frac{1}{2} \, a^{2} b x^{6} + \frac{1}{2} \, a^{3} x^{2}"," ",0,"1/14*b^3*x^14 + 3/10*a*b^2*x^10 + 1/2*a^2*b*x^6 + 1/2*a^3*x^2","A",0
638,1,32,0,1.349605," ","integrate((b*x^4+a)^3,x, algorithm=""maxima"")","\frac{1}{13} \, b^{3} x^{13} + \frac{1}{3} \, a b^{2} x^{9} + \frac{3}{5} \, a^{2} b x^{5} + a^{3} x"," ",0,"1/13*b^3*x^13 + 1/3*a*b^2*x^9 + 3/5*a^2*b*x^5 + a^3*x","A",0
639,1,36,0,1.343474," ","integrate((b*x^4+a)^3/x,x, algorithm=""maxima"")","\frac{1}{12} \, b^{3} x^{12} + \frac{3}{8} \, a b^{2} x^{8} + \frac{3}{4} \, a^{2} b x^{4} + \frac{1}{4} \, a^{3} \log\left(x^{4}\right)"," ",0,"1/12*b^3*x^12 + 3/8*a*b^2*x^8 + 3/4*a^2*b*x^4 + 1/4*a^3*log(x^4)","A",0
640,1,34,0,1.272356," ","integrate((b*x^4+a)^3/x^2,x, algorithm=""maxima"")","\frac{1}{11} \, b^{3} x^{11} + \frac{3}{7} \, a b^{2} x^{7} + a^{2} b x^{3} - \frac{a^{3}}{x}"," ",0,"1/11*b^3*x^11 + 3/7*a*b^2*x^7 + a^2*b*x^3 - a^3/x","A",0
641,1,35,0,1.313711," ","integrate((b*x^4+a)^3/x^3,x, algorithm=""maxima"")","\frac{1}{10} \, b^{3} x^{10} + \frac{1}{2} \, a b^{2} x^{6} + \frac{3}{2} \, a^{2} b x^{2} - \frac{a^{3}}{2 \, x^{2}}"," ",0,"1/10*b^3*x^10 + 1/2*a*b^2*x^6 + 3/2*a^2*b*x^2 - 1/2*a^3/x^2","A",0
642,1,33,0,1.342083," ","integrate((b*x^4+a)^3/x^4,x, algorithm=""maxima"")","\frac{1}{9} \, b^{3} x^{9} + \frac{3}{5} \, a b^{2} x^{5} + 3 \, a^{2} b x - \frac{a^{3}}{3 \, x^{3}}"," ",0,"1/9*b^3*x^9 + 3/5*a*b^2*x^5 + 3*a^2*b*x - 1/3*a^3/x^3","A",0
643,1,36,0,1.313197," ","integrate((b*x^4+a)^3/x^5,x, algorithm=""maxima"")","\frac{1}{8} \, b^{3} x^{8} + \frac{3}{4} \, a b^{2} x^{4} + \frac{3}{4} \, a^{2} b \log\left(x^{4}\right) - \frac{a^{3}}{4 \, x^{4}}"," ",0,"1/8*b^3*x^8 + 3/4*a*b^2*x^4 + 3/4*a^2*b*log(x^4) - 1/4*a^3/x^4","A",0
644,1,42,0,2.938156," ","integrate(x^9/(c*x^4+a),x, algorithm=""maxima"")","\frac{a^{2} \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} c^{2}} + \frac{c x^{6} - 3 \, a x^{2}}{6 \, c^{2}}"," ",0,"1/2*a^2*arctan(c*x^2/sqrt(a*c))/(sqrt(a*c)*c^2) + 1/6*(c*x^6 - 3*a*x^2)/c^2","A",0
645,1,23,0,1.268627," ","integrate(x^7/(c*x^4+a),x, algorithm=""maxima"")","\frac{x^{4}}{4 \, c} - \frac{a \log\left(c x^{4} + a\right)}{4 \, c^{2}}"," ",0,"1/4*x^4/c - 1/4*a*log(c*x^4 + a)/c^2","A",0
646,1,31,0,2.968380," ","integrate(x^5/(c*x^4+a),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, c} - \frac{a \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} c}"," ",0,"1/2*x^2/c - 1/2*a*arctan(c*x^2/sqrt(a*c))/(sqrt(a*c)*c)","A",0
647,1,13,0,1.356080," ","integrate(x^3/(c*x^4+a),x, algorithm=""maxima"")","\frac{\log\left(c x^{4} + a\right)}{4 \, c}"," ",0,"1/4*log(c*x^4 + a)/c","A",0
648,1,18,0,2.944731," ","integrate(x/(c*x^4+a),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{2 \, \sqrt{a c}}"," ",0,"1/2*arctan(c*x^2/sqrt(a*c))/sqrt(a*c)","A",0
649,1,23,0,1.290251," ","integrate(1/x/(c*x^4+a),x, algorithm=""maxima"")","-\frac{\log\left(c x^{4} + a\right)}{4 \, a} + \frac{\log\left(x^{4}\right)}{4 \, a}"," ",0,"-1/4*log(c*x^4 + a)/a + 1/4*log(x^4)/a","A",0
650,1,31,0,2.982519," ","integrate(1/x^3/(c*x^4+a),x, algorithm=""maxima"")","-\frac{c \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a} - \frac{1}{2 \, a x^{2}}"," ",0,"-1/2*c*arctan(c*x^2/sqrt(a*c))/(sqrt(a*c)*a) - 1/2/(a*x^2)","A",0
651,1,33,0,1.294857," ","integrate(1/x^5/(c*x^4+a),x, algorithm=""maxima"")","\frac{c \log\left(c x^{4} + a\right)}{4 \, a^{2}} - \frac{c \log\left(x^{4}\right)}{4 \, a^{2}} - \frac{1}{4 \, a x^{4}}"," ",0,"1/4*c*log(c*x^4 + a)/a^2 - 1/4*c*log(x^4)/a^2 - 1/4/(a*x^4)","A",0
652,1,43,0,3.086245," ","integrate(1/x^7/(c*x^4+a),x, algorithm=""maxima"")","\frac{c^{2} \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a^{2}} + \frac{3 \, c x^{4} - a}{6 \, a^{2} x^{6}}"," ",0,"1/2*c^2*arctan(c*x^2/sqrt(a*c))/(sqrt(a*c)*a^2) + 1/6*(3*c*x^4 - a)/(a^2*x^6)","A",0
653,1,179,0,2.917422," ","integrate(x^4/(c*x^4+a),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} \sqrt{a} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}}} + \frac{2 \, \sqrt{2} \sqrt{a} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} a^{\frac{1}{4}} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{c^{\frac{1}{4}}} - \frac{\sqrt{2} a^{\frac{1}{4}} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{c^{\frac{1}{4}}}}{8 \, c} + \frac{x}{c}"," ",0,"-1/8*(2*sqrt(2)*sqrt(a)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/sqrt(sqrt(a)*sqrt(c)) + 2*sqrt(2)*sqrt(a)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/sqrt(sqrt(a)*sqrt(c)) + sqrt(2)*a^(1/4)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/c^(1/4) - sqrt(2)*a^(1/4)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/c^(1/4))/c + x/c","A",0
654,1,169,0,3.016165," ","integrate(x^2/(c*x^4+a),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{1}{4}} c^{\frac{3}{4}}}"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - 1/8*sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)) + 1/8*sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4))","A",0
655,1,169,0,2.929012," ","integrate(1/(c*x^4+a),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{1}{4}}}"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 1/8*sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - 1/8*sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4))","A",0
656,1,183,0,2.974373," ","integrate(1/x^2/(c*x^4+a),x, algorithm=""maxima"")","-\frac{c {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{8 \, a} - \frac{1}{a x}"," ",0,"-1/8*c*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)) + sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)))/a - 1/(a*x)","A",0
657,1,184,0,2.997088," ","integrate(1/x^4/(c*x^4+a),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} c \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{2 \, \sqrt{2} c \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} c^{\frac{3}{4}} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}}} - \frac{\sqrt{2} c^{\frac{3}{4}} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}}}}{8 \, a} - \frac{1}{3 \, a x^{3}}"," ",0,"-1/8*(2*sqrt(2)*c*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 2*sqrt(2)*c*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + sqrt(2)*c^(3/4)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/a^(3/4) - sqrt(2)*c^(3/4)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/a^(3/4))/a - 1/3/(a*x^3)","A",0
658,1,43,0,1.341619," ","integrate(x^11/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{x^{4}}{4 \, c^{2}} - \frac{a^{2}}{4 \, {\left(c^{4} x^{4} + a c^{3}\right)}} - \frac{a \log\left(c x^{4} + a\right)}{2 \, c^{3}}"," ",0,"1/4*x^4/c^2 - 1/4*a^2/(c^4*x^4 + a*c^3) - 1/2*a*log(c*x^4 + a)/c^3","A",0
659,1,52,0,2.945144," ","integrate(x^9/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{a x^{2}}{4 \, {\left(c^{3} x^{4} + a c^{2}\right)}} + \frac{x^{2}}{2 \, c^{2}} - \frac{3 \, a \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{4 \, \sqrt{a c} c^{2}}"," ",0,"1/4*a*x^2/(c^3*x^4 + a*c^2) + 1/2*x^2/c^2 - 3/4*a*arctan(c*x^2/sqrt(a*c))/(sqrt(a*c)*c^2)","A",0
660,1,32,0,1.275324," ","integrate(x^7/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{a}{4 \, {\left(c^{3} x^{4} + a c^{2}\right)}} + \frac{\log\left(c x^{4} + a\right)}{4 \, c^{2}}"," ",0,"1/4*a/(c^3*x^4 + a*c^2) + 1/4*log(c*x^4 + a)/c^2","A",0
661,1,40,0,2.971361," ","integrate(x^5/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{x^{2}}{4 \, {\left(c^{2} x^{4} + a c\right)}} + \frac{\arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{4 \, \sqrt{a c} c}"," ",0,"-1/4*x^2/(c^2*x^4 + a*c) + 1/4*arctan(c*x^2/sqrt(a*c))/(sqrt(a*c)*c)","A",0
662,1,14,0,1.327150," ","integrate(x^3/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(c x^{4} + a\right)} c}"," ",0,"-1/4/((c*x^4 + a)*c)","A",0
663,1,39,0,2.893788," ","integrate(x/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{x^{2}}{4 \, {\left(a c x^{4} + a^{2}\right)}} + \frac{\arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{4 \, \sqrt{a c} a}"," ",0,"1/4*x^2/(a*c*x^4 + a^2) + 1/4*arctan(c*x^2/sqrt(a*c))/(sqrt(a*c)*a)","A",0
664,1,37,0,1.265564," ","integrate(1/x/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{1}{4 \, {\left(a c x^{4} + a^{2}\right)}} - \frac{\log\left(c x^{4} + a\right)}{4 \, a^{2}} + \frac{\log\left(x^{4}\right)}{4 \, a^{2}}"," ",0,"1/4/(a*c*x^4 + a^2) - 1/4*log(c*x^4 + a)/a^2 + 1/4*log(x^4)/a^2","A",0
665,1,53,0,2.988400," ","integrate(1/x^3/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{3 \, c x^{4} + 2 \, a}{4 \, {\left(a^{2} c x^{6} + a^{3} x^{2}\right)}} - \frac{3 \, c \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{4 \, \sqrt{a c} a^{2}}"," ",0,"-1/4*(3*c*x^4 + 2*a)/(a^2*c*x^6 + a^3*x^2) - 3/4*c*arctan(c*x^2/sqrt(a*c))/(sqrt(a*c)*a^2)","A",0
666,1,192,0,3.013868," ","integrate(x^6/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{x^{3}}{4 \, {\left(c^{2} x^{4} + a c\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{32 \, c}"," ",0,"-1/4*x^3/(c^2*x^4 + a*c) + 3/32*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)) + sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)))/c","A",0
667,1,190,0,2.963164," ","integrate(x^4/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{x}{4 \, {\left(c^{2} x^{4} + a c\right)}} + \frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}}}{32 \, c}"," ",0,"-1/4*x/(c^2*x^4 + a*c) + 1/32*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)))/c","A",0
668,1,191,0,3.078101," ","integrate(x^2/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{x^{3}}{4 \, {\left(a c x^{4} + a^{2}\right)}} + \frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}}}{32 \, a}"," ",0,"1/4*x^3/(a*c*x^4 + a^2) + 1/32*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)) + sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)))/a","A",0
669,1,189,0,2.974200," ","integrate(1/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{x}{4 \, {\left(a c x^{4} + a^{2}\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}}\right)}}{32 \, a}"," ",0,"1/4*x/(a*c*x^4 + a^2) + 3/32*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)))/a","A",0
670,1,203,0,2.945172," ","integrate(1/x^2/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{5 \, c x^{4} + 4 \, a}{4 \, {\left(a^{2} c x^{5} + a^{3} x\right)}} - \frac{5 \, c {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{32 \, a^{2}}"," ",0,"-1/4*(5*c*x^4 + 4*a)/(a^2*c*x^5 + a^3*x) - 5/32*c*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)) + sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)))/a^2","A",0
671,1,206,0,3.029397," ","integrate(1/x^4/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{7 \, c x^{4} + 4 \, a}{12 \, {\left(a^{2} c x^{7} + a^{3} x^{3}\right)}} - \frac{7 \, {\left(\frac{2 \, \sqrt{2} c \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{2 \, \sqrt{2} c \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} c^{\frac{3}{4}} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}}} - \frac{\sqrt{2} c^{\frac{3}{4}} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}}}\right)}}{32 \, a^{2}}"," ",0,"-1/12*(7*c*x^4 + 4*a)/(a^2*c*x^7 + a^3*x^3) - 7/32*(2*sqrt(2)*c*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 2*sqrt(2)*c*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + sqrt(2)*c^(3/4)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/a^(3/4) - sqrt(2)*c^(3/4)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/a^(3/4))/a^2","A",0
672,1,55,0,1.343612," ","integrate(x^11/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{4 \, a c x^{4} + 3 \, a^{2}}{8 \, {\left(c^{5} x^{8} + 2 \, a c^{4} x^{4} + a^{2} c^{3}\right)}} + \frac{\log\left(c x^{4} + a\right)}{4 \, c^{3}}"," ",0,"1/8*(4*a*c*x^4 + 3*a^2)/(c^5*x^8 + 2*a*c^4*x^4 + a^2*c^3) + 1/4*log(c*x^4 + a)/c^3","A",0
673,1,63,0,3.030838," ","integrate(x^9/(c*x^4+a)^3,x, algorithm=""maxima"")","-\frac{5 \, c x^{6} + 3 \, a x^{2}}{16 \, {\left(c^{4} x^{8} + 2 \, a c^{3} x^{4} + a^{2} c^{2}\right)}} + \frac{3 \, \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{16 \, \sqrt{a c} c^{2}}"," ",0,"-1/16*(5*c*x^6 + 3*a*x^2)/(c^4*x^8 + 2*a*c^3*x^4 + a^2*c^2) + 3/16*arctan(c*x^2/sqrt(a*c))/(sqrt(a*c)*c^2)","A",0
674,1,36,0,1.324348," ","integrate(x^7/(c*x^4+a)^3,x, algorithm=""maxima"")","-\frac{2 \, c x^{4} + a}{8 \, {\left(c^{4} x^{8} + 2 \, a c^{3} x^{4} + a^{2} c^{2}\right)}}"," ",0,"-1/8*(2*c*x^4 + a)/(c^4*x^8 + 2*a*c^3*x^4 + a^2*c^2)","B",0
675,1,66,0,2.922443," ","integrate(x^5/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{c x^{6} - a x^{2}}{16 \, {\left(a c^{3} x^{8} + 2 \, a^{2} c^{2} x^{4} + a^{3} c\right)}} + \frac{\arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{16 \, \sqrt{a c} a c}"," ",0,"1/16*(c*x^6 - a*x^2)/(a*c^3*x^8 + 2*a^2*c^2*x^4 + a^3*c) + 1/16*arctan(c*x^2/sqrt(a*c))/(sqrt(a*c)*a*c)","A",0
676,1,14,0,1.334130," ","integrate(x^3/(c*x^4+a)^3,x, algorithm=""maxima"")","-\frac{1}{8 \, {\left(c x^{4} + a\right)}^{2} c}"," ",0,"-1/8/((c*x^4 + a)^2*c)","A",0
677,1,62,0,2.978855," ","integrate(x/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{3 \, c x^{6} + 5 \, a x^{2}}{16 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)}} + \frac{3 \, \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{16 \, \sqrt{a c} a^{2}}"," ",0,"1/16*(3*c*x^6 + 5*a*x^2)/(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4) + 3/16*arctan(c*x^2/sqrt(a*c))/(sqrt(a*c)*a^2)","A",0
678,1,60,0,1.355614," ","integrate(1/x/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{2 \, c x^{4} + 3 \, a}{8 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)}} - \frac{\log\left(c x^{4} + a\right)}{4 \, a^{3}} + \frac{\log\left(x^{4}\right)}{4 \, a^{3}}"," ",0,"1/8*(2*c*x^4 + 3*a)/(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4) - 1/4*log(c*x^4 + a)/a^3 + 1/4*log(x^4)/a^3","A",0
679,1,75,0,2.950426," ","integrate(1/x^3/(c*x^4+a)^3,x, algorithm=""maxima"")","-\frac{15 \, c^{2} x^{8} + 25 \, a c x^{4} + 8 \, a^{2}}{16 \, {\left(a^{3} c^{2} x^{10} + 2 \, a^{4} c x^{6} + a^{5} x^{2}\right)}} - \frac{15 \, c \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{16 \, \sqrt{a c} a^{3}}"," ",0,"-1/16*(15*c^2*x^8 + 25*a*c*x^4 + 8*a^2)/(a^3*c^2*x^10 + 2*a^4*c*x^6 + a^5*x^2) - 15/16*c*arctan(c*x^2/sqrt(a*c))/(sqrt(a*c)*a^3)","A",0
680,1,215,0,3.026215," ","integrate(x^10/(c*x^4+a)^3,x, algorithm=""maxima"")","-\frac{11 \, c x^{7} + 7 \, a x^{3}}{32 \, {\left(c^{4} x^{8} + 2 \, a c^{3} x^{4} + a^{2} c^{2}\right)}} + \frac{21 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{256 \, c^{2}}"," ",0,"-1/32*(11*c*x^7 + 7*a*x^3)/(c^4*x^8 + 2*a*c^3*x^4 + a^2*c^2) + 21/256*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)) + sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)))/c^2","A",0
681,1,213,0,3.029721," ","integrate(x^8/(c*x^4+a)^3,x, algorithm=""maxima"")","-\frac{9 \, c x^{5} + 5 \, a x}{32 \, {\left(c^{4} x^{8} + 2 \, a c^{3} x^{4} + a^{2} c^{2}\right)}} + \frac{5 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}}\right)}}{256 \, c^{2}}"," ",0,"-1/32*(9*c*x^5 + 5*a*x)/(c^4*x^8 + 2*a*c^3*x^4 + a^2*c^2) + 5/256*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)))/c^2","A",0
682,1,219,0,3.027450," ","integrate(x^6/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{3 \, c x^{7} - a x^{3}}{32 \, {\left(a c^{3} x^{8} + 2 \, a^{2} c^{2} x^{4} + a^{3} c\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{256 \, a c}"," ",0,"1/32*(3*c*x^7 - a*x^3)/(a*c^3*x^8 + 2*a^2*c^2*x^4 + a^3*c) + 3/256*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)) + sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)))/(a*c)","A",0
683,1,216,0,3.012640," ","integrate(x^4/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{c x^{5} - 3 \, a x}{32 \, {\left(a c^{3} x^{8} + 2 \, a^{2} c^{2} x^{4} + a^{3} c\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}}\right)}}{256 \, a c}"," ",0,"1/32*(c*x^5 - 3*a*x)/(a*c^3*x^8 + 2*a^2*c^2*x^4 + a^3*c) + 3/256*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)))/(a*c)","A",0
684,1,214,0,3.039448," ","integrate(x^2/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{5 \, c x^{7} + 9 \, a x^{3}}{32 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)}} + \frac{5 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{256 \, a^{2}}"," ",0,"1/32*(5*c*x^7 + 9*a*x^3)/(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4) + 5/256*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)) + sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)))/a^2","A",0
685,1,212,0,2.946809," ","integrate(1/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{7 \, c x^{5} + 11 \, a x}{32 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)}} + \frac{21 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}}\right)}}{256 \, a^{2}}"," ",0,"1/32*(7*c*x^5 + 11*a*x)/(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4) + 21/256*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)))/a^2","A",0
686,1,225,0,3.037948," ","integrate(1/x^2/(c*x^4+a)^3,x, algorithm=""maxima"")","-\frac{45 \, c^{2} x^{8} + 81 \, a c x^{4} + 32 \, a^{2}}{32 \, {\left(a^{3} c^{2} x^{9} + 2 \, a^{4} c x^{5} + a^{5} x\right)}} - \frac{45 \, c {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{256 \, a^{3}}"," ",0,"-1/32*(45*c^2*x^8 + 81*a*c*x^4 + 32*a^2)/(a^3*c^2*x^9 + 2*a^4*c*x^5 + a^5*x) - 45/256*c*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)) + sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(1/4)*c^(3/4)))/a^3","A",0
687,1,25,0,2.888513," ","integrate(x^9/(3*x^4+2),x, algorithm=""maxima"")","\frac{1}{18} \, x^{6} - \frac{1}{9} \, x^{2} + \frac{1}{27} \, \sqrt{6} \arctan\left(\frac{1}{2} \, \sqrt{6} x^{2}\right)"," ",0,"1/18*x^6 - 1/9*x^2 + 1/27*sqrt(6)*arctan(1/2*sqrt(6)*x^2)","A",0
688,1,16,0,1.300611," ","integrate(x^7/(3*x^4+2),x, algorithm=""maxima"")","\frac{1}{12} \, x^{4} - \frac{1}{18} \, \log\left(3 \, x^{4} + 2\right)"," ",0,"1/12*x^4 - 1/18*log(3*x^4 + 2)","A",0
689,1,20,0,2.929464," ","integrate(x^5/(3*x^4+2),x, algorithm=""maxima"")","\frac{1}{6} \, x^{2} - \frac{1}{18} \, \sqrt{6} \arctan\left(\frac{1}{2} \, \sqrt{6} x^{2}\right)"," ",0,"1/6*x^2 - 1/18*sqrt(6)*arctan(1/2*sqrt(6)*x^2)","A",0
690,1,10,0,1.298418," ","integrate(x^3/(3*x^4+2),x, algorithm=""maxima"")","\frac{1}{12} \, \log\left(3 \, x^{4} + 2\right)"," ",0,"1/12*log(3*x^4 + 2)","A",0
691,1,14,0,2.952890," ","integrate(x/(3*x^4+2),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{6} \arctan\left(\frac{1}{2} \, \sqrt{6} x^{2}\right)"," ",0,"1/12*sqrt(6)*arctan(1/2*sqrt(6)*x^2)","A",0
692,1,17,0,1.341834," ","integrate(1/x/(3*x^4+2),x, algorithm=""maxima"")","-\frac{1}{8} \, \log\left(3 \, x^{4} + 2\right) + \frac{1}{8} \, \log\left(x^{4}\right)"," ",0,"-1/8*log(3*x^4 + 2) + 1/8*log(x^4)","A",0
693,1,20,0,2.885371," ","integrate(1/x^3/(3*x^4+2),x, algorithm=""maxima"")","-\frac{1}{8} \, \sqrt{6} \arctan\left(\frac{1}{2} \, \sqrt{6} x^{2}\right) - \frac{1}{4 \, x^{2}}"," ",0,"-1/8*sqrt(6)*arctan(1/2*sqrt(6)*x^2) - 1/4/x^2","A",0
694,1,126,0,2.938942," ","integrate(x^6/(3*x^4+2),x, algorithm=""maxima"")","\frac{1}{9} \, x^{3} - \frac{1}{18} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x + 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) - \frac{1}{18} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x - 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) + \frac{1}{36} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \log\left(\sqrt{3} x^{2} + 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) - \frac{1}{36} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \log\left(\sqrt{3} x^{2} - 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right)"," ",0,"1/9*x^3 - 1/18*3^(1/4)*2^(1/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x + 3^(1/4)*2^(3/4))) - 1/18*3^(1/4)*2^(1/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x - 3^(1/4)*2^(3/4))) + 1/36*3^(1/4)*2^(1/4)*log(sqrt(3)*x^2 + 3^(1/4)*2^(3/4)*x + sqrt(2)) - 1/36*3^(1/4)*2^(1/4)*log(sqrt(3)*x^2 - 3^(1/4)*2^(3/4)*x + sqrt(2))","A",0
695,1,124,0,2.995820," ","integrate(x^4/(3*x^4+2),x, algorithm=""maxima"")","-\frac{1}{36} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x + 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) - \frac{1}{36} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x - 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) - \frac{1}{72} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \log\left(\sqrt{3} x^{2} + 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) + \frac{1}{72} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \log\left(\sqrt{3} x^{2} - 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) + \frac{1}{3} \, x"," ",0,"-1/36*3^(3/4)*2^(3/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x + 3^(1/4)*2^(3/4))) - 1/36*3^(3/4)*2^(3/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x - 3^(1/4)*2^(3/4))) - 1/72*3^(3/4)*2^(3/4)*log(sqrt(3)*x^2 + 3^(1/4)*2^(3/4)*x + sqrt(2)) + 1/72*3^(3/4)*2^(3/4)*log(sqrt(3)*x^2 - 3^(1/4)*2^(3/4)*x + sqrt(2)) + 1/3*x","A",0
696,1,121,0,3.061273," ","integrate(x^2/(3*x^4+2),x, algorithm=""maxima"")","\frac{1}{12} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x + 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) + \frac{1}{12} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x - 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) - \frac{1}{24} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \log\left(\sqrt{3} x^{2} + 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) + \frac{1}{24} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \log\left(\sqrt{3} x^{2} - 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right)"," ",0,"1/12*3^(1/4)*2^(1/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x + 3^(1/4)*2^(3/4))) + 1/12*3^(1/4)*2^(1/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x - 3^(1/4)*2^(3/4))) - 1/24*3^(1/4)*2^(1/4)*log(sqrt(3)*x^2 + 3^(1/4)*2^(3/4)*x + sqrt(2)) + 1/24*3^(1/4)*2^(1/4)*log(sqrt(3)*x^2 - 3^(1/4)*2^(3/4)*x + sqrt(2))","A",0
697,1,121,0,2.936133," ","integrate(1/(3*x^4+2),x, algorithm=""maxima"")","\frac{1}{24} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x + 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) + \frac{1}{24} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x - 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) + \frac{1}{48} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \log\left(\sqrt{3} x^{2} + 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) - \frac{1}{48} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \log\left(\sqrt{3} x^{2} - 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right)"," ",0,"1/24*3^(3/4)*2^(3/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x + 3^(1/4)*2^(3/4))) + 1/24*3^(3/4)*2^(3/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x - 3^(1/4)*2^(3/4))) + 1/48*3^(3/4)*2^(3/4)*log(sqrt(3)*x^2 + 3^(1/4)*2^(3/4)*x + sqrt(2)) - 1/48*3^(3/4)*2^(3/4)*log(sqrt(3)*x^2 - 3^(1/4)*2^(3/4)*x + sqrt(2))","A",0
698,1,126,0,3.012237," ","integrate(1/x^2/(3*x^4+2),x, algorithm=""maxima"")","-\frac{1}{8} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x + 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) - \frac{1}{8} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x - 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) + \frac{1}{16} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \log\left(\sqrt{3} x^{2} + 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) - \frac{1}{16} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \log\left(\sqrt{3} x^{2} - 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) - \frac{1}{2 \, x}"," ",0,"-1/8*3^(1/4)*2^(1/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x + 3^(1/4)*2^(3/4))) - 1/8*3^(1/4)*2^(1/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x - 3^(1/4)*2^(3/4))) + 1/16*3^(1/4)*2^(1/4)*log(sqrt(3)*x^2 + 3^(1/4)*2^(3/4)*x + sqrt(2)) - 1/16*3^(1/4)*2^(1/4)*log(sqrt(3)*x^2 - 3^(1/4)*2^(3/4)*x + sqrt(2)) - 1/2/x","A",0
699,1,11,0,1.369695," ","integrate(x^3/(3*x^4+2)^2,x, algorithm=""maxima"")","-\frac{1}{12 \, {\left(3 \, x^{4} + 2\right)}}"," ",0,"-1/12/(3*x^4 + 2)","A",0
700,1,29,0,2.914267," ","integrate(x/(3*x^4+2)^2,x, algorithm=""maxima"")","\frac{1}{48} \, \sqrt{6} \arctan\left(\frac{1}{2} \, \sqrt{6} x^{2}\right) + \frac{x^{2}}{8 \, {\left(3 \, x^{4} + 2\right)}}"," ",0,"1/48*sqrt(6)*arctan(1/2*sqrt(6)*x^2) + 1/8*x^2/(3*x^4 + 2)","A",0
701,1,28,0,1.313219," ","integrate(1/x/(3*x^4+2)^2,x, algorithm=""maxima"")","\frac{1}{8 \, {\left(3 \, x^{4} + 2\right)}} - \frac{1}{16} \, \log\left(3 \, x^{4} + 2\right) + \frac{1}{16} \, \log\left(x^{4}\right)"," ",0,"1/8/(3*x^4 + 2) - 1/16*log(3*x^4 + 2) + 1/16*log(x^4)","A",0
702,1,37,0,2.881831," ","integrate(1/x^3/(3*x^4+2)^2,x, algorithm=""maxima"")","-\frac{3}{32} \, \sqrt{6} \arctan\left(\frac{1}{2} \, \sqrt{6} x^{2}\right) - \frac{9 \, x^{4} + 4}{16 \, {\left(3 \, x^{6} + 2 \, x^{2}\right)}}"," ",0,"-3/32*sqrt(6)*arctan(1/2*sqrt(6)*x^2) - 1/16*(9*x^4 + 4)/(3*x^6 + 2*x^2)","A",0
703,1,133,0,3.001387," ","integrate(x^4/(3*x^4+2)^2,x, algorithm=""maxima"")","\frac{1}{288} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x + 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) + \frac{1}{288} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x - 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) + \frac{1}{576} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \log\left(\sqrt{3} x^{2} + 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) - \frac{1}{576} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \log\left(\sqrt{3} x^{2} - 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) - \frac{x}{12 \, {\left(3 \, x^{4} + 2\right)}}"," ",0,"1/288*3^(3/4)*2^(3/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x + 3^(1/4)*2^(3/4))) + 1/288*3^(3/4)*2^(3/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x - 3^(1/4)*2^(3/4))) + 1/576*3^(3/4)*2^(3/4)*log(sqrt(3)*x^2 + 3^(1/4)*2^(3/4)*x + sqrt(2)) - 1/576*3^(3/4)*2^(3/4)*log(sqrt(3)*x^2 - 3^(1/4)*2^(3/4)*x + sqrt(2)) - 1/12*x/(3*x^4 + 2)","A",0
704,1,135,0,3.165719," ","integrate(x^2/(3*x^4+2)^2,x, algorithm=""maxima"")","\frac{x^{3}}{8 \, {\left(3 \, x^{4} + 2\right)}} + \frac{1}{96} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x + 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) + \frac{1}{96} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x - 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) - \frac{1}{192} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \log\left(\sqrt{3} x^{2} + 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) + \frac{1}{192} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \log\left(\sqrt{3} x^{2} - 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right)"," ",0,"1/8*x^3/(3*x^4 + 2) + 1/96*3^(1/4)*2^(1/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x + 3^(1/4)*2^(3/4))) + 1/96*3^(1/4)*2^(1/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x - 3^(1/4)*2^(3/4))) - 1/192*3^(1/4)*2^(1/4)*log(sqrt(3)*x^2 + 3^(1/4)*2^(3/4)*x + sqrt(2)) + 1/192*3^(1/4)*2^(1/4)*log(sqrt(3)*x^2 - 3^(1/4)*2^(3/4)*x + sqrt(2))","A",0
705,1,133,0,3.082848," ","integrate(1/(3*x^4+2)^2,x, algorithm=""maxima"")","\frac{1}{64} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x + 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) + \frac{1}{64} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x - 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) + \frac{1}{128} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \log\left(\sqrt{3} x^{2} + 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) - \frac{1}{128} \cdot 3^{\frac{3}{4}} 2^{\frac{3}{4}} \log\left(\sqrt{3} x^{2} - 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) + \frac{x}{8 \, {\left(3 \, x^{4} + 2\right)}}"," ",0,"1/64*3^(3/4)*2^(3/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x + 3^(1/4)*2^(3/4))) + 1/64*3^(3/4)*2^(3/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x - 3^(1/4)*2^(3/4))) + 1/128*3^(3/4)*2^(3/4)*log(sqrt(3)*x^2 + 3^(1/4)*2^(3/4)*x + sqrt(2)) - 1/128*3^(3/4)*2^(3/4)*log(sqrt(3)*x^2 - 3^(1/4)*2^(3/4)*x + sqrt(2)) + 1/8*x/(3*x^4 + 2)","A",0
706,1,141,0,3.063055," ","integrate(1/x^2/(3*x^4+2)^2,x, algorithm=""maxima"")","-\frac{5}{64} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x + 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) - \frac{5}{64} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} 2^{\frac{1}{4}} {\left(2 \, \sqrt{3} x - 3^{\frac{1}{4}} 2^{\frac{3}{4}}\right)}\right) + \frac{5}{128} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \log\left(\sqrt{3} x^{2} + 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) - \frac{5}{128} \cdot 3^{\frac{1}{4}} 2^{\frac{1}{4}} \log\left(\sqrt{3} x^{2} - 3^{\frac{1}{4}} 2^{\frac{3}{4}} x + \sqrt{2}\right) - \frac{15 \, x^{4} + 8}{16 \, {\left(3 \, x^{5} + 2 \, x\right)}}"," ",0,"-5/64*3^(1/4)*2^(1/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x + 3^(1/4)*2^(3/4))) - 5/64*3^(1/4)*2^(1/4)*arctan(1/6*3^(3/4)*2^(1/4)*(2*sqrt(3)*x - 3^(1/4)*2^(3/4))) + 5/128*3^(1/4)*2^(1/4)*log(sqrt(3)*x^2 + 3^(1/4)*2^(3/4)*x + sqrt(2)) - 5/128*3^(1/4)*2^(1/4)*log(sqrt(3)*x^2 - 3^(1/4)*2^(3/4)*x + sqrt(2)) - 1/16*(15*x^4 + 8)/(3*x^5 + 2*x)","A",0
707,1,107,0,3.013932," ","integrate(x^2/(x^4+3),x, algorithm=""maxima"")","\frac{1}{12} \cdot 3^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(2 \, x + 3^{\frac{1}{4}} \sqrt{2}\right)}\right) + \frac{1}{12} \cdot 3^{\frac{3}{4}} \sqrt{2} \arctan\left(\frac{1}{6} \cdot 3^{\frac{3}{4}} \sqrt{2} {\left(2 \, x - 3^{\frac{1}{4}} \sqrt{2}\right)}\right) - \frac{1}{24} \cdot 3^{\frac{3}{4}} \sqrt{2} \log\left(x^{2} + 3^{\frac{1}{4}} \sqrt{2} x + \sqrt{3}\right) + \frac{1}{24} \cdot 3^{\frac{3}{4}} \sqrt{2} \log\left(x^{2} - 3^{\frac{1}{4}} \sqrt{2} x + \sqrt{3}\right)"," ",0,"1/12*3^(3/4)*sqrt(2)*arctan(1/6*3^(3/4)*sqrt(2)*(2*x + 3^(1/4)*sqrt(2))) + 1/12*3^(3/4)*sqrt(2)*arctan(1/6*3^(3/4)*sqrt(2)*(2*x - 3^(1/4)*sqrt(2))) - 1/24*3^(3/4)*sqrt(2)*log(x^2 + 3^(1/4)*sqrt(2)*x + sqrt(3)) + 1/24*3^(3/4)*sqrt(2)*log(x^2 - 3^(1/4)*sqrt(2)*x + sqrt(3))","A",0
708,1,318,0,3.156724," ","integrate(1/(1+a+(-1+a)*x^4),x, algorithm=""maxima"")","\frac{\sqrt{2} \log\left(\sqrt{a - 1} x^{2} + \sqrt{2} {\left(a + 1\right)}^{\frac{1}{4}} {\left(a - 1\right)}^{\frac{1}{4}} x + \sqrt{a + 1}\right)}{8 \, {\left(a + 1\right)}^{\frac{3}{4}} {\left(a - 1\right)}^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{a - 1} x^{2} - \sqrt{2} {\left(a + 1\right)}^{\frac{1}{4}} {\left(a - 1\right)}^{\frac{1}{4}} x + \sqrt{a + 1}\right)}{8 \, {\left(a + 1\right)}^{\frac{3}{4}} {\left(a - 1\right)}^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(\frac{2 \, \sqrt{a - 1} x - \sqrt{2} \sqrt{-\sqrt{a + 1} \sqrt{a - 1}} + \sqrt{2} {\left(a + 1\right)}^{\frac{1}{4}} {\left(a - 1\right)}^{\frac{1}{4}}}{2 \, \sqrt{a - 1} x + \sqrt{2} \sqrt{-\sqrt{a + 1} \sqrt{a - 1}} + \sqrt{2} {\left(a + 1\right)}^{\frac{1}{4}} {\left(a - 1\right)}^{\frac{1}{4}}}\right)}{8 \, \sqrt{-\sqrt{a + 1} \sqrt{a - 1}} \sqrt{a + 1}} + \frac{\sqrt{2} \log\left(\frac{2 \, \sqrt{a - 1} x - \sqrt{2} \sqrt{-\sqrt{a + 1} \sqrt{a - 1}} - \sqrt{2} {\left(a + 1\right)}^{\frac{1}{4}} {\left(a - 1\right)}^{\frac{1}{4}}}{2 \, \sqrt{a - 1} x + \sqrt{2} \sqrt{-\sqrt{a + 1} \sqrt{a - 1}} - \sqrt{2} {\left(a + 1\right)}^{\frac{1}{4}} {\left(a - 1\right)}^{\frac{1}{4}}}\right)}{8 \, \sqrt{-\sqrt{a + 1} \sqrt{a - 1}} \sqrt{a + 1}}"," ",0,"1/8*sqrt(2)*log(sqrt(a - 1)*x^2 + sqrt(2)*(a + 1)^(1/4)*(a - 1)^(1/4)*x + sqrt(a + 1))/((a + 1)^(3/4)*(a - 1)^(1/4)) - 1/8*sqrt(2)*log(sqrt(a - 1)*x^2 - sqrt(2)*(a + 1)^(1/4)*(a - 1)^(1/4)*x + sqrt(a + 1))/((a + 1)^(3/4)*(a - 1)^(1/4)) + 1/8*sqrt(2)*log((2*sqrt(a - 1)*x - sqrt(2)*sqrt(-sqrt(a + 1)*sqrt(a - 1)) + sqrt(2)*(a + 1)^(1/4)*(a - 1)^(1/4))/(2*sqrt(a - 1)*x + sqrt(2)*sqrt(-sqrt(a + 1)*sqrt(a - 1)) + sqrt(2)*(a + 1)^(1/4)*(a - 1)^(1/4)))/(sqrt(-sqrt(a + 1)*sqrt(a - 1))*sqrt(a + 1)) + 1/8*sqrt(2)*log((2*sqrt(a - 1)*x - sqrt(2)*sqrt(-sqrt(a + 1)*sqrt(a - 1)) - sqrt(2)*(a + 1)^(1/4)*(a - 1)^(1/4))/(2*sqrt(a - 1)*x + sqrt(2)*sqrt(-sqrt(a + 1)*sqrt(a - 1)) - sqrt(2)*(a + 1)^(1/4)*(a - 1)^(1/4)))/(sqrt(-sqrt(a + 1)*sqrt(a - 1))*sqrt(a + 1))","B",0
709,1,179,0,3.011858," ","integrate(1/(x^4+2*a+2*b),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}\right)}}{2 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}}\right)}{4 \, {\left(2 \, a + 2 \, b\right)}^{\frac{3}{4}}} + \frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}\right)}}{2 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}}\right)}{4 \, {\left(2 \, a + 2 \, b\right)}^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(x^{2} + \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}} x + \sqrt{2 \, a + 2 \, b}\right)}{8 \, {\left(2 \, a + 2 \, b\right)}^{\frac{3}{4}}} - \frac{\sqrt{2} \log\left(x^{2} - \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}} x + \sqrt{2 \, a + 2 \, b}\right)}{8 \, {\left(2 \, a + 2 \, b\right)}^{\frac{3}{4}}}"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(2*a + 2*b)^(1/4))/(2*a + 2*b)^(1/4))/(2*a + 2*b)^(3/4) + 1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(2*a + 2*b)^(1/4))/(2*a + 2*b)^(1/4))/(2*a + 2*b)^(3/4) + 1/8*sqrt(2)*log(x^2 + sqrt(2)*(2*a + 2*b)^(1/4)*x + sqrt(2*a + 2*b))/(2*a + 2*b)^(3/4) - 1/8*sqrt(2)*log(x^2 - sqrt(2)*(2*a + 2*b)^(1/4)*x + sqrt(2*a + 2*b))/(2*a + 2*b)^(3/4)","B",0
710,1,179,0,3.022779," ","integrate(1/(x^4+2*a+2*b),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}\right)}}{2 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}}\right)}{4 \, {\left(2 \, a + 2 \, b\right)}^{\frac{3}{4}}} + \frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}\right)}}{2 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}}\right)}{4 \, {\left(2 \, a + 2 \, b\right)}^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(x^{2} + \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}} x + \sqrt{2 \, a + 2 \, b}\right)}{8 \, {\left(2 \, a + 2 \, b\right)}^{\frac{3}{4}}} - \frac{\sqrt{2} \log\left(x^{2} - \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}} x + \sqrt{2 \, a + 2 \, b}\right)}{8 \, {\left(2 \, a + 2 \, b\right)}^{\frac{3}{4}}}"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(2*a + 2*b)^(1/4))/(2*a + 2*b)^(1/4))/(2*a + 2*b)^(3/4) + 1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(2*a + 2*b)^(1/4))/(2*a + 2*b)^(1/4))/(2*a + 2*b)^(3/4) + 1/8*sqrt(2)*log(x^2 + sqrt(2)*(2*a + 2*b)^(1/4)*x + sqrt(2*a + 2*b))/(2*a + 2*b)^(3/4) - 1/8*sqrt(2)*log(x^2 - sqrt(2)*(2*a + 2*b)^(1/4)*x + sqrt(2*a + 2*b))/(2*a + 2*b)^(3/4)","B",0
711,1,25,0,3.026839," ","integrate(x/(x^4+2*a+2*b),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{x^{2}}{\sqrt{2 \, a + 2 \, b}}\right)}{2 \, \sqrt{2 \, a + 2 \, b}}"," ",0,"1/2*arctan(x^2/sqrt(2*a + 2*b))/sqrt(2*a + 2*b)","A",0
712,1,25,0,2.943500," ","integrate(x/(x^4+2*a+2*b),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{x^{2}}{\sqrt{2 \, a + 2 \, b}}\right)}{2 \, \sqrt{2 \, a + 2 \, b}}"," ",0,"1/2*arctan(x^2/sqrt(2*a + 2*b))/sqrt(2*a + 2*b)","A",0
713,1,179,0,3.036988," ","integrate(x^2/(x^4+2*a+2*b),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}\right)}}{2 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}}\right)}{4 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}} + \frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}\right)}}{2 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}}\right)}{4 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(x^{2} + \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}} x + \sqrt{2 \, a + 2 \, b}\right)}{8 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(x^{2} - \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}} x + \sqrt{2 \, a + 2 \, b}\right)}{8 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}}"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(2*a + 2*b)^(1/4))/(2*a + 2*b)^(1/4))/(2*a + 2*b)^(1/4) + 1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(2*a + 2*b)^(1/4))/(2*a + 2*b)^(1/4))/(2*a + 2*b)^(1/4) - 1/8*sqrt(2)*log(x^2 + sqrt(2)*(2*a + 2*b)^(1/4)*x + sqrt(2*a + 2*b))/(2*a + 2*b)^(1/4) + 1/8*sqrt(2)*log(x^2 - sqrt(2)*(2*a + 2*b)^(1/4)*x + sqrt(2*a + 2*b))/(2*a + 2*b)^(1/4)","B",0
714,1,179,0,3.114011," ","integrate(x^2/(x^4+2*a+2*b),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, x + \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}\right)}}{2 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}}\right)}{4 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}} + \frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, x - \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}\right)}}{2 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}}\right)}{4 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(x^{2} + \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}} x + \sqrt{2 \, a + 2 \, b}\right)}{8 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(x^{2} - \sqrt{2} {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}} x + \sqrt{2 \, a + 2 \, b}\right)}{8 \, {\left(2 \, a + 2 \, b\right)}^{\frac{1}{4}}}"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2)*(2*a + 2*b)^(1/4))/(2*a + 2*b)^(1/4))/(2*a + 2*b)^(1/4) + 1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2)*(2*a + 2*b)^(1/4))/(2*a + 2*b)^(1/4))/(2*a + 2*b)^(1/4) - 1/8*sqrt(2)*log(x^2 + sqrt(2)*(2*a + 2*b)^(1/4)*x + sqrt(2*a + 2*b))/(2*a + 2*b)^(1/4) + 1/8*sqrt(2)*log(x^2 - sqrt(2)*(2*a + 2*b)^(1/4)*x + sqrt(2*a + 2*b))/(2*a + 2*b)^(1/4)","B",0
715,1,13,0,1.404103," ","integrate(x^3/(x^4+2*a+2*b),x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(x^{4} + 2 \, a + 2 \, b\right)"," ",0,"1/4*log(x^4 + 2*a + 2*b)","A",0
716,1,13,0,1.337081," ","integrate(x^3/(x^4+2*a+2*b),x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(x^{4} + 2 \, a + 2 \, b\right)"," ",0,"1/4*log(x^4 + 2*a + 2*b)","A",0
717,1,13,0,1.359906," ","integrate(x^(5/2)*(c*x^4+a),x, algorithm=""maxima"")","\frac{2}{15} \, c x^{\frac{15}{2}} + \frac{2}{7} \, a x^{\frac{7}{2}}"," ",0,"2/15*c*x^(15/2) + 2/7*a*x^(7/2)","A",0
718,1,13,0,1.370404," ","integrate(x^(3/2)*(c*x^4+a),x, algorithm=""maxima"")","\frac{2}{13} \, c x^{\frac{13}{2}} + \frac{2}{5} \, a x^{\frac{5}{2}}"," ",0,"2/13*c*x^(13/2) + 2/5*a*x^(5/2)","A",0
719,1,13,0,1.339707," ","integrate((c*x^4+a)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{11} \, c x^{\frac{11}{2}} + \frac{2}{3} \, a x^{\frac{3}{2}}"," ",0,"2/11*c*x^(11/2) + 2/3*a*x^(3/2)","A",0
720,1,13,0,1.326905," ","integrate((c*x^4+a)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{9} \, c x^{\frac{9}{2}} + 2 \, a \sqrt{x}"," ",0,"2/9*c*x^(9/2) + 2*a*sqrt(x)","A",0
721,1,13,0,1.382648," ","integrate((c*x^4+a)/x^(3/2),x, algorithm=""maxima"")","\frac{2}{7} \, c x^{\frac{7}{2}} - \frac{2 \, a}{\sqrt{x}}"," ",0,"2/7*c*x^(7/2) - 2*a/sqrt(x)","A",0
722,1,13,0,1.346436," ","integrate((c*x^4+a)/x^(5/2),x, algorithm=""maxima"")","\frac{2}{5} \, c x^{\frac{5}{2}} - \frac{2 \, a}{3 \, x^{\frac{3}{2}}}"," ",0,"2/5*c*x^(5/2) - 2/3*a/x^(3/2)","A",0
723,1,13,0,1.370095," ","integrate((c*x^4+a)/x^(7/2),x, algorithm=""maxima"")","\frac{2}{3} \, c x^{\frac{3}{2}} - \frac{2 \, a}{5 \, x^{\frac{5}{2}}}"," ",0,"2/3*c*x^(3/2) - 2/5*a/x^(5/2)","A",0
724,1,24,0,1.302724," ","integrate(x^(5/2)*(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{2}{23} \, c^{2} x^{\frac{23}{2}} + \frac{4}{15} \, a c x^{\frac{15}{2}} + \frac{2}{7} \, a^{2} x^{\frac{7}{2}}"," ",0,"2/23*c^2*x^(23/2) + 4/15*a*c*x^(15/2) + 2/7*a^2*x^(7/2)","A",0
725,1,24,0,1.311347," ","integrate(x^(3/2)*(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{2}{21} \, c^{2} x^{\frac{21}{2}} + \frac{4}{13} \, a c x^{\frac{13}{2}} + \frac{2}{5} \, a^{2} x^{\frac{5}{2}}"," ",0,"2/21*c^2*x^(21/2) + 4/13*a*c*x^(13/2) + 2/5*a^2*x^(5/2)","A",0
726,1,24,0,1.341603," ","integrate((c*x^4+a)^2*x^(1/2),x, algorithm=""maxima"")","\frac{2}{19} \, c^{2} x^{\frac{19}{2}} + \frac{4}{11} \, a c x^{\frac{11}{2}} + \frac{2}{3} \, a^{2} x^{\frac{3}{2}}"," ",0,"2/19*c^2*x^(19/2) + 4/11*a*c*x^(11/2) + 2/3*a^2*x^(3/2)","A",0
727,1,24,0,1.457242," ","integrate((c*x^4+a)^2/x^(1/2),x, algorithm=""maxima"")","\frac{2}{17} \, c^{2} x^{\frac{17}{2}} + \frac{4}{9} \, a c x^{\frac{9}{2}} + 2 \, a^{2} \sqrt{x}"," ",0,"2/17*c^2*x^(17/2) + 4/9*a*c*x^(9/2) + 2*a^2*sqrt(x)","A",0
728,1,24,0,1.345649," ","integrate((c*x^4+a)^2/x^(3/2),x, algorithm=""maxima"")","\frac{2}{15} \, c^{2} x^{\frac{15}{2}} + \frac{4}{7} \, a c x^{\frac{7}{2}} - \frac{2 \, a^{2}}{\sqrt{x}}"," ",0,"2/15*c^2*x^(15/2) + 4/7*a*c*x^(7/2) - 2*a^2/sqrt(x)","A",0
729,1,24,0,1.369256," ","integrate((c*x^4+a)^2/x^(5/2),x, algorithm=""maxima"")","\frac{2}{13} \, c^{2} x^{\frac{13}{2}} + \frac{4}{5} \, a c x^{\frac{5}{2}} - \frac{2 \, a^{2}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/13*c^2*x^(13/2) + 4/5*a*c*x^(5/2) - 2/3*a^2/x^(3/2)","A",0
730,1,24,0,1.351571," ","integrate((c*x^4+a)^2/x^(7/2),x, algorithm=""maxima"")","\frac{2}{11} \, c^{2} x^{\frac{11}{2}} + \frac{4}{3} \, a c x^{\frac{3}{2}} - \frac{2 \, a^{2}}{5 \, x^{\frac{5}{2}}}"," ",0,"2/11*c^2*x^(11/2) + 4/3*a*c*x^(3/2) - 2/5*a^2/x^(5/2)","A",0
731,1,35,0,1.347007," ","integrate(x^(5/2)*(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{2}{31} \, c^{3} x^{\frac{31}{2}} + \frac{6}{23} \, a c^{2} x^{\frac{23}{2}} + \frac{2}{5} \, a^{2} c x^{\frac{15}{2}} + \frac{2}{7} \, a^{3} x^{\frac{7}{2}}"," ",0,"2/31*c^3*x^(31/2) + 6/23*a*c^2*x^(23/2) + 2/5*a^2*c*x^(15/2) + 2/7*a^3*x^(7/2)","A",0
732,1,35,0,1.384878," ","integrate(x^(3/2)*(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{2}{29} \, c^{3} x^{\frac{29}{2}} + \frac{2}{7} \, a c^{2} x^{\frac{21}{2}} + \frac{6}{13} \, a^{2} c x^{\frac{13}{2}} + \frac{2}{5} \, a^{3} x^{\frac{5}{2}}"," ",0,"2/29*c^3*x^(29/2) + 2/7*a*c^2*x^(21/2) + 6/13*a^2*c*x^(13/2) + 2/5*a^3*x^(5/2)","A",0
733,1,35,0,1.314728," ","integrate((c*x^4+a)^3*x^(1/2),x, algorithm=""maxima"")","\frac{2}{27} \, c^{3} x^{\frac{27}{2}} + \frac{6}{19} \, a c^{2} x^{\frac{19}{2}} + \frac{6}{11} \, a^{2} c x^{\frac{11}{2}} + \frac{2}{3} \, a^{3} x^{\frac{3}{2}}"," ",0,"2/27*c^3*x^(27/2) + 6/19*a*c^2*x^(19/2) + 6/11*a^2*c*x^(11/2) + 2/3*a^3*x^(3/2)","A",0
734,1,35,0,1.354415," ","integrate((c*x^4+a)^3/x^(1/2),x, algorithm=""maxima"")","\frac{2}{25} \, c^{3} x^{\frac{25}{2}} + \frac{6}{17} \, a c^{2} x^{\frac{17}{2}} + \frac{2}{3} \, a^{2} c x^{\frac{9}{2}} + 2 \, a^{3} \sqrt{x}"," ",0,"2/25*c^3*x^(25/2) + 6/17*a*c^2*x^(17/2) + 2/3*a^2*c*x^(9/2) + 2*a^3*sqrt(x)","A",0
735,1,35,0,1.387518," ","integrate((c*x^4+a)^3/x^(3/2),x, algorithm=""maxima"")","\frac{2}{23} \, c^{3} x^{\frac{23}{2}} + \frac{2}{5} \, a c^{2} x^{\frac{15}{2}} + \frac{6}{7} \, a^{2} c x^{\frac{7}{2}} - \frac{2 \, a^{3}}{\sqrt{x}}"," ",0,"2/23*c^3*x^(23/2) + 2/5*a*c^2*x^(15/2) + 6/7*a^2*c*x^(7/2) - 2*a^3/sqrt(x)","A",0
736,1,35,0,1.158587," ","integrate((c*x^4+a)^3/x^(5/2),x, algorithm=""maxima"")","\frac{2}{21} \, c^{3} x^{\frac{21}{2}} + \frac{6}{13} \, a c^{2} x^{\frac{13}{2}} + \frac{6}{5} \, a^{2} c x^{\frac{5}{2}} - \frac{2 \, a^{3}}{3 \, x^{\frac{3}{2}}}"," ",0,"2/21*c^3*x^(21/2) + 6/13*a*c^2*x^(13/2) + 6/5*a^2*c*x^(5/2) - 2/3*a^3/x^(3/2)","A",0
737,1,35,0,1.270357," ","integrate((c*x^4+a)^3/x^(7/2),x, algorithm=""maxima"")","\frac{2}{19} \, c^{3} x^{\frac{19}{2}} + \frac{6}{11} \, a c^{2} x^{\frac{11}{2}} + 2 \, a^{2} c x^{\frac{3}{2}} - \frac{2 \, a^{3}}{5 \, x^{\frac{5}{2}}}"," ",0,"2/19*c^3*x^(19/2) + 6/11*a*c^2*x^(11/2) + 2*a^2*c*x^(3/2) - 2/5*a^3/x^(5/2)","A",0
738,0,0,0,0.000000," ","integrate(x^(9/2)/(c*x^4+a),x, algorithm=""maxima"")","-a \int \frac{\sqrt{x}}{c^{2} x^{4} + a c}\,{d x} + \frac{2 \, x^{\frac{3}{2}}}{3 \, c}"," ",0,"-a*integrate(sqrt(x)/(c^2*x^4 + a*c), x) + 2/3*x^(3/2)/c","F",0
739,0,0,0,0.000000," ","integrate(x^(7/2)/(c*x^4+a),x, algorithm=""maxima"")","\int \frac{x^{\frac{7}{2}}}{c x^{4} + a}\,{d x}"," ",0,"integrate(x^(7/2)/(c*x^4 + a), x)","F",0
740,0,0,0,0.000000," ","integrate(x^(5/2)/(c*x^4+a),x, algorithm=""maxima"")","\int \frac{x^{\frac{5}{2}}}{c x^{4} + a}\,{d x}"," ",0,"integrate(x^(5/2)/(c*x^4 + a), x)","F",0
741,0,0,0,0.000000," ","integrate(x^(3/2)/(c*x^4+a),x, algorithm=""maxima"")","\int \frac{x^{\frac{3}{2}}}{c x^{4} + a}\,{d x}"," ",0,"integrate(x^(3/2)/(c*x^4 + a), x)","F",0
742,0,0,0,0.000000," ","integrate(x^(1/2)/(c*x^4+a),x, algorithm=""maxima"")","\int \frac{\sqrt{x}}{c x^{4} + a}\,{d x}"," ",0,"integrate(sqrt(x)/(c*x^4 + a), x)","F",0
743,0,0,0,0.000000," ","integrate(1/(c*x^4+a)/x^(1/2),x, algorithm=""maxima"")","-c \int \frac{x^{\frac{7}{2}}}{a c x^{4} + a^{2}}\,{d x} + \frac{2 \, \sqrt{x}}{a}"," ",0,"-c*integrate(x^(7/2)/(a*c*x^4 + a^2), x) + 2*sqrt(x)/a","F",0
744,0,0,0,0.000000," ","integrate(1/x^(3/2)/(c*x^4+a),x, algorithm=""maxima"")","-c \int \frac{x^{\frac{5}{2}}}{a c x^{4} + a^{2}}\,{d x} - \frac{2}{a \sqrt{x}}"," ",0,"-c*integrate(x^(5/2)/(a*c*x^4 + a^2), x) - 2/(a*sqrt(x))","F",0
745,0,0,0,0.000000," ","integrate(1/x^(5/2)/(c*x^4+a),x, algorithm=""maxima"")","-c \int \frac{x^{\frac{3}{2}}}{a c x^{4} + a^{2}}\,{d x} - \frac{2}{3 \, a x^{\frac{3}{2}}}"," ",0,"-c*integrate(x^(3/2)/(a*c*x^4 + a^2), x) - 2/3/(a*x^(3/2))","F",0
746,0,0,0,0.000000," ","integrate(x^(13/2)/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{x^{\frac{7}{2}}}{4 \, {\left(c^{2} x^{4} + a c\right)}} + 7 \, \int \frac{x^{\frac{5}{2}}}{8 \, {\left(c^{2} x^{4} + a c\right)}}\,{d x}"," ",0,"-1/4*x^(7/2)/(c^2*x^4 + a*c) + 7*integrate(1/8*x^(5/2)/(c^2*x^4 + a*c), x)","F",0
747,0,0,0,0.000000," ","integrate(x^(11/2)/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{x^{\frac{5}{2}}}{4 \, {\left(c^{2} x^{4} + a c\right)}} + 5 \, \int \frac{x^{\frac{3}{2}}}{8 \, {\left(c^{2} x^{4} + a c\right)}}\,{d x}"," ",0,"-1/4*x^(5/2)/(c^2*x^4 + a*c) + 5*integrate(1/8*x^(3/2)/(c^2*x^4 + a*c), x)","F",0
748,0,0,0,0.000000," ","integrate(x^(9/2)/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{x^{\frac{3}{2}}}{4 \, {\left(c^{2} x^{4} + a c\right)}} + 3 \, \int \frac{\sqrt{x}}{8 \, {\left(c^{2} x^{4} + a c\right)}}\,{d x}"," ",0,"-1/4*x^(3/2)/(c^2*x^4 + a*c) + 3*integrate(1/8*sqrt(x)/(c^2*x^4 + a*c), x)","F",0
749,0,0,0,0.000000," ","integrate(x^(7/2)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{x^{\frac{9}{2}}}{4 \, {\left(a c x^{4} + a^{2}\right)}} - \int \frac{x^{\frac{7}{2}}}{8 \, {\left(a c x^{4} + a^{2}\right)}}\,{d x}"," ",0,"1/4*x^(9/2)/(a*c*x^4 + a^2) - integrate(1/8*x^(7/2)/(a*c*x^4 + a^2), x)","F",0
750,0,0,0,0.000000," ","integrate(x^(5/2)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{x^{\frac{7}{2}}}{4 \, {\left(a c x^{4} + a^{2}\right)}} + \int \frac{x^{\frac{5}{2}}}{8 \, {\left(a c x^{4} + a^{2}\right)}}\,{d x}"," ",0,"1/4*x^(7/2)/(a*c*x^4 + a^2) + integrate(1/8*x^(5/2)/(a*c*x^4 + a^2), x)","F",0
751,0,0,0,0.000000," ","integrate(x^(3/2)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{x^{\frac{5}{2}}}{4 \, {\left(a c x^{4} + a^{2}\right)}} + 3 \, \int \frac{x^{\frac{3}{2}}}{8 \, {\left(a c x^{4} + a^{2}\right)}}\,{d x}"," ",0,"1/4*x^(5/2)/(a*c*x^4 + a^2) + 3*integrate(1/8*x^(3/2)/(a*c*x^4 + a^2), x)","F",0
752,0,0,0,0.000000," ","integrate(x^(1/2)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{x^{\frac{3}{2}}}{4 \, {\left(a c x^{4} + a^{2}\right)}} + 5 \, \int \frac{\sqrt{x}}{8 \, {\left(a c x^{4} + a^{2}\right)}}\,{d x}"," ",0,"1/4*x^(3/2)/(a*c*x^4 + a^2) + 5*integrate(1/8*sqrt(x)/(a*c*x^4 + a^2), x)","F",0
753,0,0,0,0.000000," ","integrate(1/(c*x^4+a)^2/x^(1/2),x, algorithm=""maxima"")","-7 \, c \int \frac{x^{\frac{7}{2}}}{8 \, {\left(a^{2} c x^{4} + a^{3}\right)}}\,{d x} + \frac{7 \, c x^{\frac{9}{2}} + 8 \, a \sqrt{x}}{4 \, {\left(a^{2} c x^{4} + a^{3}\right)}}"," ",0,"-7*c*integrate(1/8*x^(7/2)/(a^2*c*x^4 + a^3), x) + 1/4*(7*c*x^(9/2) + 8*a*sqrt(x))/(a^2*c*x^4 + a^3)","F",0
754,0,0,0,0.000000," ","integrate(1/x^(3/2)/(c*x^4+a)^2,x, algorithm=""maxima"")","-9 \, c \int \frac{x^{\frac{5}{2}}}{8 \, {\left(a^{2} c x^{4} + a^{3}\right)}}\,{d x} - \frac{9 \, c x^{\frac{7}{2}} + \frac{8 \, a}{\sqrt{x}}}{4 \, {\left(a^{2} c x^{4} + a^{3}\right)}}"," ",0,"-9*c*integrate(1/8*x^(5/2)/(a^2*c*x^4 + a^3), x) - 1/4*(9*c*x^(7/2) + 8*a/sqrt(x))/(a^2*c*x^4 + a^3)","F",0
755,0,0,0,0.000000," ","integrate(x^(15/2)/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{9 \, c x^{\frac{17}{2}} + a x^{\frac{9}{2}}}{64 \, {\left(a c^{3} x^{8} + 2 \, a^{2} c^{2} x^{4} + a^{3} c\right)}} - 9 \, \int \frac{x^{\frac{7}{2}}}{128 \, {\left(a c^{2} x^{4} + a^{2} c\right)}}\,{d x}"," ",0,"1/64*(9*c*x^(17/2) + a*x^(9/2))/(a*c^3*x^8 + 2*a^2*c^2*x^4 + a^3*c) - 9*integrate(1/128*x^(7/2)/(a*c^2*x^4 + a^2*c), x)","F",0
756,0,0,0,0.000000," ","integrate(x^(13/2)/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{7 \, c x^{\frac{15}{2}} - a x^{\frac{7}{2}}}{64 \, {\left(a c^{3} x^{8} + 2 \, a^{2} c^{2} x^{4} + a^{3} c\right)}} + 7 \, \int \frac{x^{\frac{5}{2}}}{128 \, {\left(a c^{2} x^{4} + a^{2} c\right)}}\,{d x}"," ",0,"1/64*(7*c*x^(15/2) - a*x^(7/2))/(a*c^3*x^8 + 2*a^2*c^2*x^4 + a^3*c) + 7*integrate(1/128*x^(5/2)/(a*c^2*x^4 + a^2*c), x)","F",0
757,0,0,0,0.000000," ","integrate(x^(11/2)/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{5 \, c x^{\frac{13}{2}} - 3 \, a x^{\frac{5}{2}}}{64 \, {\left(a c^{3} x^{8} + 2 \, a^{2} c^{2} x^{4} + a^{3} c\right)}} + 15 \, \int \frac{x^{\frac{3}{2}}}{128 \, {\left(a c^{2} x^{4} + a^{2} c\right)}}\,{d x}"," ",0,"1/64*(5*c*x^(13/2) - 3*a*x^(5/2))/(a*c^3*x^8 + 2*a^2*c^2*x^4 + a^3*c) + 15*integrate(1/128*x^(3/2)/(a*c^2*x^4 + a^2*c), x)","F",0
758,0,0,0,0.000000," ","integrate(x^(9/2)/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{3 \, c x^{\frac{11}{2}} - 5 \, a x^{\frac{3}{2}}}{64 \, {\left(a c^{3} x^{8} + 2 \, a^{2} c^{2} x^{4} + a^{3} c\right)}} + 15 \, \int \frac{\sqrt{x}}{128 \, {\left(a c^{2} x^{4} + a^{2} c\right)}}\,{d x}"," ",0,"1/64*(3*c*x^(11/2) - 5*a*x^(3/2))/(a*c^3*x^8 + 2*a^2*c^2*x^4 + a^3*c) + 15*integrate(1/128*sqrt(x)/(a*c^2*x^4 + a^2*c), x)","F",0
759,0,0,0,0.000000," ","integrate(x^(7/2)/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{7 \, c x^{\frac{17}{2}} + 15 \, a x^{\frac{9}{2}}}{64 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)}} - 7 \, \int \frac{x^{\frac{7}{2}}}{128 \, {\left(a^{2} c x^{4} + a^{3}\right)}}\,{d x}"," ",0,"1/64*(7*c*x^(17/2) + 15*a*x^(9/2))/(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4) - 7*integrate(1/128*x^(7/2)/(a^2*c*x^4 + a^3), x)","F",0
760,0,0,0,0.000000," ","integrate(x^(5/2)/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{9 \, c x^{\frac{15}{2}} + 17 \, a x^{\frac{7}{2}}}{64 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)}} + 9 \, \int \frac{x^{\frac{5}{2}}}{128 \, {\left(a^{2} c x^{4} + a^{3}\right)}}\,{d x}"," ",0,"1/64*(9*c*x^(15/2) + 17*a*x^(7/2))/(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4) + 9*integrate(1/128*x^(5/2)/(a^2*c*x^4 + a^3), x)","F",0
761,0,0,0,0.000000," ","integrate(x^(3/2)/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{11 \, c x^{\frac{13}{2}} + 19 \, a x^{\frac{5}{2}}}{64 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)}} + 33 \, \int \frac{x^{\frac{3}{2}}}{128 \, {\left(a^{2} c x^{4} + a^{3}\right)}}\,{d x}"," ",0,"1/64*(11*c*x^(13/2) + 19*a*x^(5/2))/(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4) + 33*integrate(1/128*x^(3/2)/(a^2*c*x^4 + a^3), x)","F",0
762,0,0,0,0.000000," ","integrate(x^(1/2)/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{13 \, c x^{\frac{11}{2}} + 21 \, a x^{\frac{3}{2}}}{64 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)}} + 65 \, \int \frac{\sqrt{x}}{128 \, {\left(a^{2} c x^{4} + a^{3}\right)}}\,{d x}"," ",0,"1/64*(13*c*x^(11/2) + 21*a*x^(3/2))/(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4) + 65*integrate(1/128*sqrt(x)/(a^2*c*x^4 + a^3), x)","F",0
763,0,0,0,0.000000," ","integrate(1/(c*x^4+a)^3/x^(1/2),x, algorithm=""maxima"")","-105 \, c \int \frac{x^{\frac{7}{2}}}{128 \, {\left(a^{3} c x^{4} + a^{4}\right)}}\,{d x} + \frac{105 \, c^{2} x^{\frac{17}{2}} + 225 \, a c x^{\frac{9}{2}} + 128 \, a^{2} \sqrt{x}}{64 \, {\left(a^{3} c^{2} x^{8} + 2 \, a^{4} c x^{4} + a^{5}\right)}}"," ",0,"-105*c*integrate(1/128*x^(7/2)/(a^3*c*x^4 + a^4), x) + 1/64*(105*c^2*x^(17/2) + 225*a*c*x^(9/2) + 128*a^2*sqrt(x))/(a^3*c^2*x^8 + 2*a^4*c*x^4 + a^5)","F",0
764,1,47,0,1.367745," ","integrate(x^11*(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{4} + a\right)}^{\frac{7}{2}}}{14 \, c^{3}} - \frac{{\left(c x^{4} + a\right)}^{\frac{5}{2}} a}{5 \, c^{3}} + \frac{{\left(c x^{4} + a\right)}^{\frac{3}{2}} a^{2}}{6 \, c^{3}}"," ",0,"1/14*(c*x^4 + a)^(7/2)/c^3 - 1/5*(c*x^4 + a)^(5/2)*a/c^3 + 1/6*(c*x^4 + a)^(3/2)*a^2/c^3","A",0
765,1,30,0,1.363413," ","integrate(x^7*(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{4} + a\right)}^{\frac{5}{2}}}{10 \, c^{2}} - \frac{{\left(c x^{4} + a\right)}^{\frac{3}{2}} a}{6 \, c^{2}}"," ",0,"1/10*(c*x^4 + a)^(5/2)/c^2 - 1/6*(c*x^4 + a)^(3/2)*a/c^2","A",0
766,1,14,0,1.215144," ","integrate(x^3*(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}{6 \, c}"," ",0,"1/6*(c*x^4 + a)^(3/2)/c","A",0
767,1,49,0,3.041646," ","integrate((c*x^4+a)^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{a} \log\left(\frac{\sqrt{c x^{4} + a} - \sqrt{a}}{\sqrt{c x^{4} + a} + \sqrt{a}}\right) + \frac{1}{2} \, \sqrt{c x^{4} + a}"," ",0,"1/4*sqrt(a)*log((sqrt(c*x^4 + a) - sqrt(a))/(sqrt(c*x^4 + a) + sqrt(a))) + 1/2*sqrt(c*x^4 + a)","A",0
768,1,53,0,2.984772," ","integrate((c*x^4+a)^(1/2)/x^5,x, algorithm=""maxima"")","\frac{c \log\left(\frac{\sqrt{c x^{4} + a} - \sqrt{a}}{\sqrt{c x^{4} + a} + \sqrt{a}}\right)}{8 \, \sqrt{a}} - \frac{\sqrt{c x^{4} + a}}{4 \, x^{4}}"," ",0,"1/8*c*log((sqrt(c*x^4 + a) - sqrt(a))/(sqrt(c*x^4 + a) + sqrt(a)))/sqrt(a) - 1/4*sqrt(c*x^4 + a)/x^4","A",0
769,1,100,0,2.972154," ","integrate((c*x^4+a)^(1/2)/x^9,x, algorithm=""maxima"")","-\frac{c^{2} \log\left(\frac{\sqrt{c x^{4} + a} - \sqrt{a}}{\sqrt{c x^{4} + a} + \sqrt{a}}\right)}{32 \, a^{\frac{3}{2}}} - \frac{{\left(c x^{4} + a\right)}^{\frac{3}{2}} c^{2} + \sqrt{c x^{4} + a} a c^{2}}{16 \, {\left({\left(c x^{4} + a\right)}^{2} a - 2 \, {\left(c x^{4} + a\right)} a^{2} + a^{3}\right)}}"," ",0,"-1/32*c^2*log((sqrt(c*x^4 + a) - sqrt(a))/(sqrt(c*x^4 + a) + sqrt(a)))/a^(3/2) - 1/16*((c*x^4 + a)^(3/2)*c^2 + sqrt(c*x^4 + a)*a*c^2)/((c*x^4 + a)^2*a - 2*(c*x^4 + a)*a^2 + a^3)","A",0
770,1,120,0,2.987212," ","integrate(x^5*(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\frac{a^{2} \log\left(-\frac{\sqrt{c} - \frac{\sqrt{c x^{4} + a}}{x^{2}}}{\sqrt{c} + \frac{\sqrt{c x^{4} + a}}{x^{2}}}\right)}{32 \, c^{\frac{3}{2}}} + \frac{\frac{\sqrt{c x^{4} + a} a^{2} c}{x^{2}} + \frac{{\left(c x^{4} + a\right)}^{\frac{3}{2}} a^{2}}{x^{6}}}{16 \, {\left(c^{3} - \frac{2 \, {\left(c x^{4} + a\right)} c^{2}}{x^{4}} + \frac{{\left(c x^{4} + a\right)}^{2} c}{x^{8}}\right)}}"," ",0,"1/32*a^2*log(-(sqrt(c) - sqrt(c*x^4 + a)/x^2)/(sqrt(c) + sqrt(c*x^4 + a)/x^2))/c^(3/2) + 1/16*(sqrt(c*x^4 + a)*a^2*c/x^2 + (c*x^4 + a)^(3/2)*a^2/x^6)/(c^3 - 2*(c*x^4 + a)*c^2/x^4 + (c*x^4 + a)^2*c/x^8)","B",0
771,1,78,0,3.026170," ","integrate(x*(c*x^4+a)^(1/2),x, algorithm=""maxima"")","-\frac{a \log\left(-\frac{\sqrt{c} - \frac{\sqrt{c x^{4} + a}}{x^{2}}}{\sqrt{c} + \frac{\sqrt{c x^{4} + a}}{x^{2}}}\right)}{8 \, \sqrt{c}} - \frac{\sqrt{c x^{4} + a} a}{4 \, {\left(c - \frac{c x^{4} + a}{x^{4}}\right)} x^{2}}"," ",0,"-1/8*a*log(-(sqrt(c) - sqrt(c*x^4 + a)/x^2)/(sqrt(c) + sqrt(c*x^4 + a)/x^2))/sqrt(c) - 1/4*sqrt(c*x^4 + a)*a/((c - (c*x^4 + a)/x^4)*x^2)","B",0
772,1,60,0,2.927657," ","integrate((c*x^4+a)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{c} \log\left(-\frac{\sqrt{c} - \frac{\sqrt{c x^{4} + a}}{x^{2}}}{\sqrt{c} + \frac{\sqrt{c x^{4} + a}}{x^{2}}}\right) - \frac{\sqrt{c x^{4} + a}}{2 \, x^{2}}"," ",0,"-1/4*sqrt(c)*log(-(sqrt(c) - sqrt(c*x^4 + a)/x^2)/(sqrt(c) + sqrt(c*x^4 + a)/x^2)) - 1/2*sqrt(c*x^4 + a)/x^2","A",0
773,1,17,0,1.358784," ","integrate((c*x^4+a)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}{6 \, a x^{6}}"," ",0,"-1/6*(c*x^4 + a)^(3/2)/(a*x^6)","A",0
774,1,35,0,1.361793," ","integrate((c*x^4+a)^(1/2)/x^11,x, algorithm=""maxima"")","\frac{\frac{5 \, {\left(c x^{4} + a\right)}^{\frac{3}{2}} c}{x^{6}} - \frac{3 \, {\left(c x^{4} + a\right)}^{\frac{5}{2}}}{x^{10}}}{30 \, a^{2}}"," ",0,"1/30*(5*(c*x^4 + a)^(3/2)*c/x^6 - 3*(c*x^4 + a)^(5/2)/x^10)/a^2","A",0
775,1,52,0,1.397823," ","integrate((c*x^4+a)^(1/2)/x^15,x, algorithm=""maxima"")","-\frac{\frac{35 \, {\left(c x^{4} + a\right)}^{\frac{3}{2}} c^{2}}{x^{6}} - \frac{42 \, {\left(c x^{4} + a\right)}^{\frac{5}{2}} c}{x^{10}} + \frac{15 \, {\left(c x^{4} + a\right)}^{\frac{7}{2}}}{x^{14}}}{210 \, a^{3}}"," ",0,"-1/210*(35*(c*x^4 + a)^(3/2)*c^2/x^6 - 42*(c*x^4 + a)^(5/2)*c/x^10 + 15*(c*x^4 + a)^(7/2)/x^14)/a^3","A",0
776,0,0,0,0.000000," ","integrate(x^4*(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{4} + a} x^{4}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + a)*x^4, x)","F",0
777,0,0,0,0.000000," ","integrate((c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{4} + a}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + a), x)","F",0
778,0,0,0,0.000000," ","integrate((c*x^4+a)^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + a}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + a)/x^4, x)","F",0
779,0,0,0,0.000000," ","integrate((c*x^4+a)^(1/2)/x^8,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + a}}{x^{8}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + a)/x^8, x)","F",0
780,0,0,0,0.000000," ","integrate(x^2*(c*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{4} + a} x^{2}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + a)*x^2, x)","F",0
781,0,0,0,0.000000," ","integrate((c*x^4+a)^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + a)/x^2, x)","F",0
782,0,0,0,0.000000," ","integrate((c*x^4+a)^(1/2)/x^6,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + a}}{x^{6}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + a)/x^6, x)","F",0
783,1,47,0,1.403676," ","integrate(x^11*(c*x^4+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{4} + a\right)}^{\frac{9}{2}}}{18 \, c^{3}} - \frac{{\left(c x^{4} + a\right)}^{\frac{7}{2}} a}{7 \, c^{3}} + \frac{{\left(c x^{4} + a\right)}^{\frac{5}{2}} a^{2}}{10 \, c^{3}}"," ",0,"1/18*(c*x^4 + a)^(9/2)/c^3 - 1/7*(c*x^4 + a)^(7/2)*a/c^3 + 1/10*(c*x^4 + a)^(5/2)*a^2/c^3","A",0
784,1,30,0,1.317532," ","integrate(x^7*(c*x^4+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{4} + a\right)}^{\frac{7}{2}}}{14 \, c^{2}} - \frac{{\left(c x^{4} + a\right)}^{\frac{5}{2}} a}{10 \, c^{2}}"," ",0,"1/14*(c*x^4 + a)^(7/2)/c^2 - 1/10*(c*x^4 + a)^(5/2)*a/c^2","A",0
785,1,14,0,1.328274," ","integrate(x^3*(c*x^4+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{4} + a\right)}^{\frac{5}{2}}}{10 \, c}"," ",0,"1/10*(c*x^4 + a)^(5/2)/c","A",0
786,1,61,0,2.999554," ","integrate((c*x^4+a)^(3/2)/x,x, algorithm=""maxima"")","\frac{1}{4} \, a^{\frac{3}{2}} \log\left(\frac{\sqrt{c x^{4} + a} - \sqrt{a}}{\sqrt{c x^{4} + a} + \sqrt{a}}\right) + \frac{1}{6} \, {\left(c x^{4} + a\right)}^{\frac{3}{2}} + \frac{1}{2} \, \sqrt{c x^{4} + a} a"," ",0,"1/4*a^(3/2)*log((sqrt(c*x^4 + a) - sqrt(a))/(sqrt(c*x^4 + a) + sqrt(a))) + 1/6*(c*x^4 + a)^(3/2) + 1/2*sqrt(c*x^4 + a)*a","A",0
787,1,66,0,2.895284," ","integrate((c*x^4+a)^(3/2)/x^5,x, algorithm=""maxima"")","\frac{3}{8} \, \sqrt{a} c \log\left(\frac{\sqrt{c x^{4} + a} - \sqrt{a}}{\sqrt{c x^{4} + a} + \sqrt{a}}\right) + \frac{1}{2} \, \sqrt{c x^{4} + a} c - \frac{\sqrt{c x^{4} + a} a}{4 \, x^{4}}"," ",0,"3/8*sqrt(a)*c*log((sqrt(c*x^4 + a) - sqrt(a))/(sqrt(c*x^4 + a) + sqrt(a))) + 1/2*sqrt(c*x^4 + a)*c - 1/4*sqrt(c*x^4 + a)*a/x^4","A",0
788,1,98,0,2.943982," ","integrate((c*x^4+a)^(3/2)/x^9,x, algorithm=""maxima"")","\frac{3 \, c^{2} \log\left(\frac{\sqrt{c x^{4} + a} - \sqrt{a}}{\sqrt{c x^{4} + a} + \sqrt{a}}\right)}{32 \, \sqrt{a}} - \frac{5 \, {\left(c x^{4} + a\right)}^{\frac{3}{2}} c^{2} - 3 \, \sqrt{c x^{4} + a} a c^{2}}{16 \, {\left({\left(c x^{4} + a\right)}^{2} - 2 \, {\left(c x^{4} + a\right)} a + a^{2}\right)}}"," ",0,"3/32*c^2*log((sqrt(c*x^4 + a) - sqrt(a))/(sqrt(c*x^4 + a) + sqrt(a)))/sqrt(a) - 1/16*(5*(c*x^4 + a)^(3/2)*c^2 - 3*sqrt(c*x^4 + a)*a*c^2)/((c*x^4 + a)^2 - 2*(c*x^4 + a)*a + a^2)","A",0
789,1,160,0,2.977022," ","integrate(x^5*(c*x^4+a)^(3/2),x, algorithm=""maxima"")","\frac{a^{3} \log\left(-\frac{\sqrt{c} - \frac{\sqrt{c x^{4} + a}}{x^{2}}}{\sqrt{c} + \frac{\sqrt{c x^{4} + a}}{x^{2}}}\right)}{64 \, c^{\frac{3}{2}}} + \frac{\frac{3 \, \sqrt{c x^{4} + a} a^{3} c^{2}}{x^{2}} - \frac{8 \, {\left(c x^{4} + a\right)}^{\frac{3}{2}} a^{3} c}{x^{6}} - \frac{3 \, {\left(c x^{4} + a\right)}^{\frac{5}{2}} a^{3}}{x^{10}}}{96 \, {\left(c^{4} - \frac{3 \, {\left(c x^{4} + a\right)} c^{3}}{x^{4}} + \frac{3 \, {\left(c x^{4} + a\right)}^{2} c^{2}}{x^{8}} - \frac{{\left(c x^{4} + a\right)}^{3} c}{x^{12}}\right)}}"," ",0,"1/64*a^3*log(-(sqrt(c) - sqrt(c*x^4 + a)/x^2)/(sqrt(c) + sqrt(c*x^4 + a)/x^2))/c^(3/2) + 1/96*(3*sqrt(c*x^4 + a)*a^3*c^2/x^2 - 8*(c*x^4 + a)^(3/2)*a^3*c/x^6 - 3*(c*x^4 + a)^(5/2)*a^3/x^10)/(c^4 - 3*(c*x^4 + a)*c^3/x^4 + 3*(c*x^4 + a)^2*c^2/x^8 - (c*x^4 + a)^3*c/x^12)","B",0
790,1,119,0,2.990414," ","integrate(x*(c*x^4+a)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, a^{2} \log\left(-\frac{\sqrt{c} - \frac{\sqrt{c x^{4} + a}}{x^{2}}}{\sqrt{c} + \frac{\sqrt{c x^{4} + a}}{x^{2}}}\right)}{32 \, \sqrt{c}} - \frac{\frac{3 \, \sqrt{c x^{4} + a} a^{2} c}{x^{2}} - \frac{5 \, {\left(c x^{4} + a\right)}^{\frac{3}{2}} a^{2}}{x^{6}}}{16 \, {\left(c^{2} - \frac{2 \, {\left(c x^{4} + a\right)} c}{x^{4}} + \frac{{\left(c x^{4} + a\right)}^{2}}{x^{8}}\right)}}"," ",0,"-3/32*a^2*log(-(sqrt(c) - sqrt(c*x^4 + a)/x^2)/(sqrt(c) + sqrt(c*x^4 + a)/x^2))/sqrt(c) - 1/16*(3*sqrt(c*x^4 + a)*a^2*c/x^2 - 5*(c*x^4 + a)^(3/2)*a^2/x^6)/(c^2 - 2*(c*x^4 + a)*c/x^4 + (c*x^4 + a)^2/x^8)","B",0
791,1,94,0,2.994093," ","integrate((c*x^4+a)^(3/2)/x^3,x, algorithm=""maxima"")","-\frac{3}{8} \, a \sqrt{c} \log\left(-\frac{\sqrt{c} - \frac{\sqrt{c x^{4} + a}}{x^{2}}}{\sqrt{c} + \frac{\sqrt{c x^{4} + a}}{x^{2}}}\right) - \frac{\sqrt{c x^{4} + a} a}{2 \, x^{2}} - \frac{\sqrt{c x^{4} + a} a c}{4 \, {\left(c - \frac{c x^{4} + a}{x^{4}}\right)} x^{2}}"," ",0,"-3/8*a*sqrt(c)*log(-(sqrt(c) - sqrt(c*x^4 + a)/x^2)/(sqrt(c) + sqrt(c*x^4 + a)/x^2)) - 1/2*sqrt(c*x^4 + a)*a/x^2 - 1/4*sqrt(c*x^4 + a)*a*c/((c - (c*x^4 + a)/x^4)*x^2)","A",0
792,1,75,0,3.041481," ","integrate((c*x^4+a)^(3/2)/x^7,x, algorithm=""maxima"")","-\frac{1}{4} \, c^{\frac{3}{2}} \log\left(-\frac{\sqrt{c} - \frac{\sqrt{c x^{4} + a}}{x^{2}}}{\sqrt{c} + \frac{\sqrt{c x^{4} + a}}{x^{2}}}\right) - \frac{\sqrt{c x^{4} + a} c}{2 \, x^{2}} - \frac{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}{6 \, x^{6}}"," ",0,"-1/4*c^(3/2)*log(-(sqrt(c) - sqrt(c*x^4 + a)/x^2)/(sqrt(c) + sqrt(c*x^4 + a)/x^2)) - 1/2*sqrt(c*x^4 + a)*c/x^2 - 1/6*(c*x^4 + a)^(3/2)/x^6","A",0
793,1,17,0,1.347826," ","integrate((c*x^4+a)^(3/2)/x^11,x, algorithm=""maxima"")","-\frac{{\left(c x^{4} + a\right)}^{\frac{5}{2}}}{10 \, a x^{10}}"," ",0,"-1/10*(c*x^4 + a)^(5/2)/(a*x^10)","A",0
794,1,35,0,1.399853," ","integrate((c*x^4+a)^(3/2)/x^15,x, algorithm=""maxima"")","\frac{\frac{7 \, {\left(c x^{4} + a\right)}^{\frac{5}{2}} c}{x^{10}} - \frac{5 \, {\left(c x^{4} + a\right)}^{\frac{7}{2}}}{x^{14}}}{70 \, a^{2}}"," ",0,"1/70*(7*(c*x^4 + a)^(5/2)*c/x^10 - 5*(c*x^4 + a)^(7/2)/x^14)/a^2","A",0
795,1,52,0,1.330095," ","integrate((c*x^4+a)^(3/2)/x^19,x, algorithm=""maxima"")","-\frac{\frac{63 \, {\left(c x^{4} + a\right)}^{\frac{5}{2}} c^{2}}{x^{10}} - \frac{90 \, {\left(c x^{4} + a\right)}^{\frac{7}{2}} c}{x^{14}} + \frac{35 \, {\left(c x^{4} + a\right)}^{\frac{9}{2}}}{x^{18}}}{630 \, a^{3}}"," ",0,"-1/630*(63*(c*x^4 + a)^(5/2)*c^2/x^10 - 90*(c*x^4 + a)^(7/2)*c/x^14 + 35*(c*x^4 + a)^(9/2)/x^18)/a^3","A",0
796,0,0,0,0.000000," ","integrate(x^4*(c*x^4+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{4} + a\right)}^{\frac{3}{2}} x^{4}\,{d x}"," ",0,"integrate((c*x^4 + a)^(3/2)*x^4, x)","F",0
797,0,0,0,0.000000," ","integrate((c*x^4+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{4} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*x^4 + a)^(3/2), x)","F",0
798,0,0,0,0.000000," ","integrate((c*x^4+a)^(3/2)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}{x^{4}}\,{d x}"," ",0,"integrate((c*x^4 + a)^(3/2)/x^4, x)","F",0
799,0,0,0,0.000000," ","integrate((c*x^4+a)^(3/2)/x^8,x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}{x^{8}}\,{d x}"," ",0,"integrate((c*x^4 + a)^(3/2)/x^8, x)","F",0
800,0,0,0,0.000000," ","integrate(x^2*(c*x^4+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{4} + a\right)}^{\frac{3}{2}} x^{2}\,{d x}"," ",0,"integrate((c*x^4 + a)^(3/2)*x^2, x)","F",0
801,0,0,0,0.000000," ","integrate((c*x^4+a)^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((c*x^4 + a)^(3/2)/x^2, x)","F",0
802,0,0,0,0.000000," ","integrate((c*x^4+a)^(3/2)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + a\right)}^{\frac{3}{2}}}{x^{6}}\,{d x}"," ",0,"integrate((c*x^4 + a)^(3/2)/x^6, x)","F",0
803,0,0,0,0.000000," ","integrate((x^4+1)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((x^4 + 1)^(3/2), x)","F",0
804,0,0,0,0.000000," ","integrate((-x^4+1)^(3/2),x, algorithm=""maxima"")","\int {\left(-x^{4} + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((-x^4 + 1)^(3/2), x)","F",0
805,1,23,0,1.334730," ","integrate(x^7*(3*x^4+5)^(1/2),x, algorithm=""maxima"")","\frac{1}{90} \, {\left(3 \, x^{4} + 5\right)}^{\frac{5}{2}} - \frac{5}{54} \, {\left(3 \, x^{4} + 5\right)}^{\frac{3}{2}}"," ",0,"1/90*(3*x^4 + 5)^(5/2) - 5/54*(3*x^4 + 5)^(3/2)","A",0
806,1,9,0,1.350214," ","integrate(x^3*(x^4+5)^(1/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(x^{4} + 5\right)}^{\frac{3}{2}}"," ",0,"1/6*(x^4 + 5)^(3/2)","A",0
807,1,75,0,2.981408," ","integrate(x*(2*x^4+3)^(1/2),x, algorithm=""maxima"")","-\frac{3}{16} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \frac{\sqrt{2 \, x^{4} + 3}}{x^{2}}}{\sqrt{2} + \frac{\sqrt{2 \, x^{4} + 3}}{x^{2}}}\right) + \frac{3 \, \sqrt{2 \, x^{4} + 3}}{4 \, x^{2} {\left(\frac{2 \, x^{4} + 3}{x^{4}} - 2\right)}}"," ",0,"-3/16*sqrt(2)*log(-(sqrt(2) - sqrt(2*x^4 + 3)/x^2)/(sqrt(2) + sqrt(2*x^4 + 3)/x^2)) + 3/4*sqrt(2*x^4 + 3)/(x^2*((2*x^4 + 3)/x^4 - 2))","B",0
808,1,58,0,1.332512," ","integrate(x*(x^4-2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{4} - 2}}{2 \, x^{2} {\left(\frac{x^{4} - 2}{x^{4}} - 1\right)}} - \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} - 2}}{x^{2}} + 1\right) + \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} - 2}}{x^{2}} - 1\right)"," ",0,"-1/2*sqrt(x^4 - 2)/(x^2*((x^4 - 2)/x^4 - 1)) - 1/4*log(sqrt(x^4 - 2)/x^2 + 1) + 1/4*log(sqrt(x^4 - 2)/x^2 - 1)","B",0
809,0,0,0,0.000000," ","integrate((x^4+1)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 1}\,{d x}"," ",0,"integrate(sqrt(x^4 + 1), x)","F",0
810,0,0,0,0.000000," ","integrate((-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \sqrt{-x^{4} + 1}\,{d x}"," ",0,"integrate(sqrt(-x^4 + 1), x)","F",0
811,1,47,0,1.367856," ","integrate(x^11/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{5}{2}}}{10 \, b^{3}} - \frac{{\left(b x^{4} + a\right)}^{\frac{3}{2}} a}{3 \, b^{3}} + \frac{\sqrt{b x^{4} + a} a^{2}}{2 \, b^{3}}"," ",0,"1/10*(b*x^4 + a)^(5/2)/b^3 - 1/3*(b*x^4 + a)^(3/2)*a/b^3 + 1/2*sqrt(b*x^4 + a)*a^2/b^3","A",0
812,1,30,0,1.348093," ","integrate(x^7/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{3}{2}}}{6 \, b^{2}} - \frac{\sqrt{b x^{4} + a} a}{2 \, b^{2}}"," ",0,"1/6*(b*x^4 + a)^(3/2)/b^2 - 1/2*sqrt(b*x^4 + a)*a/b^2","A",0
813,1,14,0,1.305514," ","integrate(x^3/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b x^{4} + a}}{2 \, b}"," ",0,"1/2*sqrt(b*x^4 + a)/b","A",0
814,1,37,0,3.031525," ","integrate(1/x/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x^{4} + a} - \sqrt{a}}{\sqrt{b x^{4} + a} + \sqrt{a}}\right)}{4 \, \sqrt{a}}"," ",0,"1/4*log((sqrt(b*x^4 + a) - sqrt(a))/(sqrt(b*x^4 + a) + sqrt(a)))/sqrt(a)","A",0
815,1,68,0,2.914125," ","integrate(1/x^5/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{b x^{4} + a} b}{4 \, {\left({\left(b x^{4} + a\right)} a - a^{2}\right)}} - \frac{b \log\left(\frac{\sqrt{b x^{4} + a} - \sqrt{a}}{\sqrt{b x^{4} + a} + \sqrt{a}}\right)}{8 \, a^{\frac{3}{2}}}"," ",0,"-1/4*sqrt(b*x^4 + a)*b/((b*x^4 + a)*a - a^2) - 1/8*b*log((sqrt(b*x^4 + a) - sqrt(a))/(sqrt(b*x^4 + a) + sqrt(a)))/a^(3/2)","A",0
816,1,81,0,2.904931," ","integrate(x^5/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\frac{a \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x^{4} + a}}{x^{2}}}{\sqrt{b} + \frac{\sqrt{b x^{4} + a}}{x^{2}}}\right)}{8 \, b^{\frac{3}{2}}} - \frac{\sqrt{b x^{4} + a} a}{4 \, {\left(b^{2} - \frac{{\left(b x^{4} + a\right)} b}{x^{4}}\right)} x^{2}}"," ",0,"1/8*a*log(-(sqrt(b) - sqrt(b*x^4 + a)/x^2)/(sqrt(b) + sqrt(b*x^4 + a)/x^2))/b^(3/2) - 1/4*sqrt(b*x^4 + a)*a/((b^2 - (b*x^4 + a)*b/x^4)*x^2)","A",0
817,1,45,0,3.032787," ","integrate(x/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x^{4} + a}}{x^{2}}}{\sqrt{b} + \frac{\sqrt{b x^{4} + a}}{x^{2}}}\right)}{4 \, \sqrt{b}}"," ",0,"-1/4*log(-(sqrt(b) - sqrt(b*x^4 + a)/x^2)/(sqrt(b) + sqrt(b*x^4 + a)/x^2))/sqrt(b)","B",0
818,1,17,0,1.267887," ","integrate(1/x^3/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{b x^{4} + a}}{2 \, a x^{2}}"," ",0,"-1/2*sqrt(b*x^4 + a)/(a*x^2)","A",0
819,1,35,0,1.456020," ","integrate(1/x^7/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\frac{\frac{3 \, \sqrt{b x^{4} + a} b}{x^{2}} - \frac{{\left(b x^{4} + a\right)}^{\frac{3}{2}}}{x^{6}}}{6 \, a^{2}}"," ",0,"1/6*(3*sqrt(b*x^4 + a)*b/x^2 - (b*x^4 + a)^(3/2)/x^6)/a^2","A",0
820,1,52,0,1.335544," ","integrate(1/x^11/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{15 \, \sqrt{b x^{4} + a} b^{2}}{x^{2}} - \frac{10 \, {\left(b x^{4} + a\right)}^{\frac{3}{2}} b}{x^{6}} + \frac{3 \, {\left(b x^{4} + a\right)}^{\frac{5}{2}}}{x^{10}}}{30 \, a^{3}}"," ",0,"-1/30*(15*sqrt(b*x^4 + a)*b^2/x^2 - 10*(b*x^4 + a)^(3/2)*b/x^6 + 3*(b*x^4 + a)^(5/2)/x^10)/a^3","A",0
821,0,0,0,0.000000," ","integrate(x^8/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{\sqrt{b x^{4} + a}}\,{d x}"," ",0,"integrate(x^8/sqrt(b*x^4 + a), x)","F",0
822,0,0,0,0.000000," ","integrate(x^4/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{b x^{4} + a}}\,{d x}"," ",0,"integrate(x^4/sqrt(b*x^4 + a), x)","F",0
823,0,0,0,0.000000," ","integrate(1/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{4} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*x^4 + a), x)","F",0
824,0,0,0,0.000000," ","integrate(1/x^4/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{4} + a} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^4 + a)*x^4), x)","F",0
825,0,0,0,0.000000," ","integrate(1/x^8/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{4} + a} x^{8}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^4 + a)*x^8), x)","F",0
826,0,0,0,0.000000," ","integrate(x^10/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{10}}{\sqrt{b x^{4} + a}}\,{d x}"," ",0,"integrate(x^10/sqrt(b*x^4 + a), x)","F",0
827,0,0,0,0.000000," ","integrate(x^6/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{b x^{4} + a}}\,{d x}"," ",0,"integrate(x^6/sqrt(b*x^4 + a), x)","F",0
828,0,0,0,0.000000," ","integrate(x^2/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{b x^{4} + a}}\,{d x}"," ",0,"integrate(x^2/sqrt(b*x^4 + a), x)","F",0
829,0,0,0,0.000000," ","integrate(1/x^2/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{4} + a} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^4 + a)*x^2), x)","F",0
830,0,0,0,0.000000," ","integrate(1/x^6/(b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{4} + a} x^{6}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^4 + a)*x^6), x)","F",0
831,1,50,0,1.342368," ","integrate(x^11/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{5}{2}}}{10 \, b^{3}} + \frac{{\left(-b x^{4} + a\right)}^{\frac{3}{2}} a}{3 \, b^{3}} - \frac{\sqrt{-b x^{4} + a} a^{2}}{2 \, b^{3}}"," ",0,"-1/10*(-b*x^4 + a)^(5/2)/b^3 + 1/3*(-b*x^4 + a)^(3/2)*a/b^3 - 1/2*sqrt(-b*x^4 + a)*a^2/b^3","A",0
832,1,32,0,1.299419," ","integrate(x^7/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","\frac{{\left(-b x^{4} + a\right)}^{\frac{3}{2}}}{6 \, b^{2}} - \frac{\sqrt{-b x^{4} + a} a}{2 \, b^{2}}"," ",0,"1/6*(-b*x^4 + a)^(3/2)/b^2 - 1/2*sqrt(-b*x^4 + a)*a/b^2","A",0
833,1,15,0,1.300851," ","integrate(x^3/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-b x^{4} + a}}{2 \, b}"," ",0,"-1/2*sqrt(-b*x^4 + a)/b","A",0
834,1,39,0,2.946776," ","integrate(1/x/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{-b x^{4} + a} - \sqrt{a}}{\sqrt{-b x^{4} + a} + \sqrt{a}}\right)}{4 \, \sqrt{a}}"," ",0,"1/4*log((sqrt(-b*x^4 + a) - sqrt(a))/(sqrt(-b*x^4 + a) + sqrt(a)))/sqrt(a)","A",0
835,1,71,0,3.022582," ","integrate(1/x^5/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-b x^{4} + a} b}{4 \, {\left({\left(b x^{4} - a\right)} a + a^{2}\right)}} + \frac{b \log\left(\frac{\sqrt{-b x^{4} + a} - \sqrt{a}}{\sqrt{-b x^{4} + a} + \sqrt{a}}\right)}{8 \, a^{\frac{3}{2}}}"," ",0,"-1/4*sqrt(-b*x^4 + a)*b/((b*x^4 - a)*a + a^2) + 1/8*b*log((sqrt(-b*x^4 + a) - sqrt(a))/(sqrt(-b*x^4 + a) + sqrt(a)))/a^(3/2)","A",0
836,1,62,0,3.037944," ","integrate(x^5/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","-\frac{a \arctan\left(\frac{\sqrt{-b x^{4} + a}}{\sqrt{b} x^{2}}\right)}{4 \, b^{\frac{3}{2}}} - \frac{\sqrt{-b x^{4} + a} a}{4 \, {\left(b^{2} - \frac{{\left(b x^{4} - a\right)} b}{x^{4}}\right)} x^{2}}"," ",0,"-1/4*a*arctan(sqrt(-b*x^4 + a)/(sqrt(b)*x^2))/b^(3/2) - 1/4*sqrt(-b*x^4 + a)*a/((b^2 - (b*x^4 - a)*b/x^4)*x^2)","A",0
837,1,23,0,3.035300," ","integrate(x/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{\sqrt{-b x^{4} + a}}{\sqrt{b} x^{2}}\right)}{2 \, \sqrt{b}}"," ",0,"-1/2*arctan(sqrt(-b*x^4 + a)/(sqrt(b)*x^2))/sqrt(b)","A",0
838,1,18,0,1.404987," ","integrate(1/x^3/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-b x^{4} + a}}{2 \, a x^{2}}"," ",0,"-1/2*sqrt(-b*x^4 + a)/(a*x^2)","A",0
839,1,36,0,1.370043," ","integrate(1/x^7/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{3 \, \sqrt{-b x^{4} + a} b}{x^{2}} + \frac{{\left(-b x^{4} + a\right)}^{\frac{3}{2}}}{x^{6}}}{6 \, a^{2}}"," ",0,"-1/6*(3*sqrt(-b*x^4 + a)*b/x^2 + (-b*x^4 + a)^(3/2)/x^6)/a^2","A",0
840,1,55,0,1.346520," ","integrate(1/x^11/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{15 \, \sqrt{-b x^{4} + a} b^{2}}{x^{2}} + \frac{10 \, {\left(-b x^{4} + a\right)}^{\frac{3}{2}} b}{x^{6}} + \frac{3 \, {\left(-b x^{4} + a\right)}^{\frac{5}{2}}}{x^{10}}}{30 \, a^{3}}"," ",0,"-1/30*(15*sqrt(-b*x^4 + a)*b^2/x^2 + 10*(-b*x^4 + a)^(3/2)*b/x^6 + 3*(-b*x^4 + a)^(5/2)/x^10)/a^3","A",0
841,0,0,0,0.000000," ","integrate(x^8/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{\sqrt{-b x^{4} + a}}\,{d x}"," ",0,"integrate(x^8/sqrt(-b*x^4 + a), x)","F",0
842,0,0,0,0.000000," ","integrate(x^4/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{-b x^{4} + a}}\,{d x}"," ",0,"integrate(x^4/sqrt(-b*x^4 + a), x)","F",0
843,0,0,0,0.000000," ","integrate(1/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-b x^{4} + a}}\,{d x}"," ",0,"integrate(1/sqrt(-b*x^4 + a), x)","F",0
844,0,0,0,0.000000," ","integrate(1/x^4/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-b x^{4} + a} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(-b*x^4 + a)*x^4), x)","F",0
845,0,0,0,0.000000," ","integrate(1/x^8/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-b x^{4} + a} x^{8}}\,{d x}"," ",0,"integrate(1/(sqrt(-b*x^4 + a)*x^8), x)","F",0
846,0,0,0,0.000000," ","integrate(x^10/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{10}}{\sqrt{-b x^{4} + a}}\,{d x}"," ",0,"integrate(x^10/sqrt(-b*x^4 + a), x)","F",0
847,0,0,0,0.000000," ","integrate(x^6/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{-b x^{4} + a}}\,{d x}"," ",0,"integrate(x^6/sqrt(-b*x^4 + a), x)","F",0
848,0,0,0,0.000000," ","integrate(x^2/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{-b x^{4} + a}}\,{d x}"," ",0,"integrate(x^2/sqrt(-b*x^4 + a), x)","F",0
849,0,0,0,0.000000," ","integrate(1/x^2/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-b x^{4} + a} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-b*x^4 + a)*x^2), x)","F",0
850,0,0,0,0.000000," ","integrate(1/x^6/(-b*x^4+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-b x^{4} + a} x^{6}}\,{d x}"," ",0,"integrate(1/(sqrt(-b*x^4 + a)*x^6), x)","F",0
851,1,47,0,1.304701," ","integrate(x^11/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{3}{2}}}{6 \, b^{3}} - \frac{\sqrt{b x^{4} + a} a}{b^{3}} - \frac{a^{2}}{2 \, \sqrt{b x^{4} + a} b^{3}}"," ",0,"1/6*(b*x^4 + a)^(3/2)/b^3 - sqrt(b*x^4 + a)*a/b^3 - 1/2*a^2/(sqrt(b*x^4 + a)*b^3)","A",0
852,1,30,0,1.302566," ","integrate(x^7/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\frac{\sqrt{b x^{4} + a}}{2 \, b^{2}} + \frac{a}{2 \, \sqrt{b x^{4} + a} b^{2}}"," ",0,"1/2*sqrt(b*x^4 + a)/b^2 + 1/2*a/(sqrt(b*x^4 + a)*b^2)","A",0
853,1,14,0,1.295513," ","integrate(x^3/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","-\frac{1}{2 \, \sqrt{b x^{4} + a} b}"," ",0,"-1/2/(sqrt(b*x^4 + a)*b)","A",0
854,1,52,0,3.013256," ","integrate(1/x/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x^{4} + a} - \sqrt{a}}{\sqrt{b x^{4} + a} + \sqrt{a}}\right)}{4 \, a^{\frac{3}{2}}} + \frac{1}{2 \, \sqrt{b x^{4} + a} a}"," ",0,"1/4*log((sqrt(b*x^4 + a) - sqrt(a))/(sqrt(b*x^4 + a) + sqrt(a)))/a^(3/2) + 1/2/(sqrt(b*x^4 + a)*a)","A",0
855,1,86,0,2.984538," ","integrate(1/x^5/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(b x^{4} + a\right)} b - 2 \, a b}{4 \, {\left({\left(b x^{4} + a\right)}^{\frac{3}{2}} a^{2} - \sqrt{b x^{4} + a} a^{3}\right)}} - \frac{3 \, b \log\left(\frac{\sqrt{b x^{4} + a} - \sqrt{a}}{\sqrt{b x^{4} + a} + \sqrt{a}}\right)}{8 \, a^{\frac{5}{2}}}"," ",0,"-1/4*(3*(b*x^4 + a)*b - 2*a*b)/((b*x^4 + a)^(3/2)*a^2 - sqrt(b*x^4 + a)*a^3) - 3/8*b*log((sqrt(b*x^4 + a) - sqrt(a))/(sqrt(b*x^4 + a) + sqrt(a)))/a^(5/2)","A",0
856,1,103,0,3.009616," ","integrate(x^9/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\frac{2 \, a b - \frac{3 \, {\left(b x^{4} + a\right)} a}{x^{4}}}{4 \, {\left(\frac{\sqrt{b x^{4} + a} b^{3}}{x^{2}} - \frac{{\left(b x^{4} + a\right)}^{\frac{3}{2}} b^{2}}{x^{6}}\right)}} + \frac{3 \, a \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x^{4} + a}}{x^{2}}}{\sqrt{b} + \frac{\sqrt{b x^{4} + a}}{x^{2}}}\right)}{8 \, b^{\frac{5}{2}}}"," ",0,"1/4*(2*a*b - 3*(b*x^4 + a)*a/x^4)/(sqrt(b*x^4 + a)*b^3/x^2 - (b*x^4 + a)^(3/2)*b^2/x^6) + 3/8*a*log(-(sqrt(b) - sqrt(b*x^4 + a)/x^2)/(sqrt(b) + sqrt(b*x^4 + a)/x^2))/b^(5/2)","A",0
857,1,63,0,2.881939," ","integrate(x^5/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","-\frac{x^{2}}{2 \, \sqrt{b x^{4} + a} b} - \frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x^{4} + a}}{x^{2}}}{\sqrt{b} + \frac{\sqrt{b x^{4} + a}}{x^{2}}}\right)}{4 \, b^{\frac{3}{2}}}"," ",0,"-1/2*x^2/(sqrt(b*x^4 + a)*b) - 1/4*log(-(sqrt(b) - sqrt(b*x^4 + a)/x^2)/(sqrt(b) + sqrt(b*x^4 + a)/x^2))/b^(3/2)","A",0
858,1,17,0,1.302118," ","integrate(x/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, \sqrt{b x^{4} + a} a}"," ",0,"1/2*x^2/(sqrt(b*x^4 + a)*a)","A",0
859,1,36,0,1.322245," ","integrate(1/x^3/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","-\frac{b x^{2}}{2 \, \sqrt{b x^{4} + a} a^{2}} - \frac{\sqrt{b x^{4} + a}}{2 \, a^{2} x^{2}}"," ",0,"-1/2*b*x^2/(sqrt(b*x^4 + a)*a^2) - 1/2*sqrt(b*x^4 + a)/(a^2*x^2)","A",0
860,1,56,0,1.338115," ","integrate(1/x^7/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\frac{b^{2} x^{2}}{2 \, \sqrt{b x^{4} + a} a^{3}} + \frac{\frac{6 \, \sqrt{b x^{4} + a} b}{x^{2}} - \frac{{\left(b x^{4} + a\right)}^{\frac{3}{2}}}{x^{6}}}{6 \, a^{3}}"," ",0,"1/2*b^2*x^2/(sqrt(b*x^4 + a)*a^3) + 1/6*(6*sqrt(b*x^4 + a)*b/x^2 - (b*x^4 + a)^(3/2)/x^6)/a^3","A",0
861,0,0,0,0.000000," ","integrate(x^12/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{12}}{{\left(b x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^12/(b*x^4 + a)^(3/2), x)","F",0
862,0,0,0,0.000000," ","integrate(x^8/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{{\left(b x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^8/(b*x^4 + a)^(3/2), x)","F",0
863,0,0,0,0.000000," ","integrate(x^4/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^4/(b*x^4 + a)^(3/2), x)","F",0
864,0,0,0,0.000000," ","integrate(1/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(-3/2), x)","F",0
865,0,0,0,0.000000," ","integrate(1/x^4/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(3/2)*x^4), x)","F",0
866,0,0,0,0.000000," ","integrate(1/x^8/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{3}{2}} x^{8}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(3/2)*x^8), x)","F",0
867,0,0,0,0.000000," ","integrate(x^14/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{14}}{{\left(b x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^14/(b*x^4 + a)^(3/2), x)","F",0
868,0,0,0,0.000000," ","integrate(x^10/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{10}}{{\left(b x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^10/(b*x^4 + a)^(3/2), x)","F",0
869,0,0,0,0.000000," ","integrate(x^6/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^6/(b*x^4 + a)^(3/2), x)","F",0
870,0,0,0,0.000000," ","integrate(x^2/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{4} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(b*x^4 + a)^(3/2), x)","F",0
871,0,0,0,0.000000," ","integrate(1/x^2/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(3/2)*x^2), x)","F",0
872,0,0,0,0.000000," ","integrate(1/x^6/(b*x^4+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{3}{2}} x^{6}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(3/2)*x^6), x)","F",0
873,0,0,0,0.000000," ","integrate(1/(b*x^4+a)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(-5/2), x)","F",0
874,1,34,0,1.384754," ","integrate(x^11/(-x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{10} \, {\left(-x^{4} + 1\right)}^{\frac{5}{2}} + \frac{1}{3} \, {\left(-x^{4} + 1\right)}^{\frac{3}{2}} - \frac{1}{2} \, \sqrt{-x^{4} + 1}"," ",0,"-1/10*(-x^4 + 1)^(5/2) + 1/3*(-x^4 + 1)^(3/2) - 1/2*sqrt(-x^4 + 1)","A",0
875,1,23,0,1.187165," ","integrate(x^7/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(-x^{4} + 1\right)}^{\frac{3}{2}} - \frac{1}{2} \, \sqrt{-x^{4} + 1}"," ",0,"1/6*(-x^4 + 1)^(3/2) - 1/2*sqrt(-x^4 + 1)","A",0
876,1,11,0,1.247654," ","integrate(x^3/(-x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{-x^{4} + 1}"," ",0,"-1/2*sqrt(-x^4 + 1)","A",0
877,1,29,0,1.358577," ","integrate(1/x/(-x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, \log\left(\sqrt{-x^{4} + 1} + 1\right) + \frac{1}{4} \, \log\left(\sqrt{-x^{4} + 1} - 1\right)"," ",0,"-1/4*log(sqrt(-x^4 + 1) + 1) + 1/4*log(sqrt(-x^4 + 1) - 1)","B",0
878,1,43,0,1.333162," ","integrate(1/x^5/(-x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{4} + 1}}{4 \, x^{4}} - \frac{1}{8} \, \log\left(\sqrt{-x^{4} + 1} + 1\right) + \frac{1}{8} \, \log\left(\sqrt{-x^{4} + 1} - 1\right)"," ",0,"-1/4*sqrt(-x^4 + 1)/x^4 - 1/8*log(sqrt(-x^4 + 1) + 1) + 1/8*log(sqrt(-x^4 + 1) - 1)","A",0
879,1,44,0,2.973314," ","integrate(x^5/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{-x^{4} + 1}}{4 \, x^{2} {\left(\frac{x^{4} - 1}{x^{4}} - 1\right)}} - \frac{1}{4} \, \arctan\left(\frac{\sqrt{-x^{4} + 1}}{x^{2}}\right)"," ",0,"1/4*sqrt(-x^4 + 1)/(x^2*((x^4 - 1)/x^4 - 1)) - 1/4*arctan(sqrt(-x^4 + 1)/x^2)","B",0
880,1,16,0,2.863705," ","integrate(x/(-x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \arctan\left(\frac{\sqrt{-x^{4} + 1}}{x^{2}}\right)"," ",0,"-1/2*arctan(sqrt(-x^4 + 1)/x^2)","B",0
881,1,14,0,1.332968," ","integrate(1/x^3/(-x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{4} + 1}}{2 \, x^{2}}"," ",0,"-1/2*sqrt(-x^4 + 1)/x^2","A",0
882,1,29,0,1.325747," ","integrate(1/x^7/(-x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{4} + 1}}{2 \, x^{2}} - \frac{{\left(-x^{4} + 1\right)}^{\frac{3}{2}}}{6 \, x^{6}}"," ",0,"-1/2*sqrt(-x^4 + 1)/x^2 - 1/6*(-x^4 + 1)^(3/2)/x^6","A",0
883,1,43,0,1.260275," ","integrate(1/x^11/(-x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{4} + 1}}{2 \, x^{2}} - \frac{{\left(-x^{4} + 1\right)}^{\frac{3}{2}}}{3 \, x^{6}} - \frac{{\left(-x^{4} + 1\right)}^{\frac{5}{2}}}{10 \, x^{10}}"," ",0,"-1/2*sqrt(-x^4 + 1)/x^2 - 1/3*(-x^4 + 1)^(3/2)/x^6 - 1/10*(-x^4 + 1)^(5/2)/x^10","A",0
884,0,0,0,0.000000," ","integrate(x^8/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{\sqrt{-x^{4} + 1}}\,{d x}"," ",0,"integrate(x^8/sqrt(-x^4 + 1), x)","F",0
885,0,0,0,0.000000," ","integrate(x^4/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{-x^{4} + 1}}\,{d x}"," ",0,"integrate(x^4/sqrt(-x^4 + 1), x)","F",0
886,0,0,0,0.000000," ","integrate(1/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + 1}}\,{d x}"," ",0,"integrate(1/sqrt(-x^4 + 1), x)","F",0
887,0,0,0,0.000000," ","integrate(1/x^4/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + 1} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^4 + 1)*x^4), x)","F",0
888,0,0,0,0.000000," ","integrate(1/x^8/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + 1} x^{8}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^4 + 1)*x^8), x)","F",0
889,0,0,0,0.000000," ","integrate(x^10/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{10}}{\sqrt{-x^{4} + 1}}\,{d x}"," ",0,"integrate(x^10/sqrt(-x^4 + 1), x)","F",0
890,0,0,0,0.000000," ","integrate(x^6/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{-x^{4} + 1}}\,{d x}"," ",0,"integrate(x^6/sqrt(-x^4 + 1), x)","F",0
891,0,0,0,0.000000," ","integrate(x^2/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{-x^{4} + 1}}\,{d x}"," ",0,"integrate(x^2/sqrt(-x^4 + 1), x)","F",0
892,0,0,0,0.000000," ","integrate(1/x^2/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + 1} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^4 + 1)*x^2), x)","F",0
893,0,0,0,0.000000," ","integrate(1/x^6/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + 1} x^{6}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^4 + 1)*x^6), x)","F",0
894,1,32,0,1.328748," ","integrate(x^11/(-x^4+1)^(3/2),x, algorithm=""maxima"")","-\frac{1}{6} \, {\left(-x^{4} + 1\right)}^{\frac{3}{2}} + \sqrt{-x^{4} + 1} + \frac{1}{2 \, \sqrt{-x^{4} + 1}}"," ",0,"-1/6*(-x^4 + 1)^(3/2) + sqrt(-x^4 + 1) + 1/2/sqrt(-x^4 + 1)","A",0
895,1,23,0,1.296352," ","integrate(x^7/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-x^{4} + 1} + \frac{1}{2 \, \sqrt{-x^{4} + 1}}"," ",0,"1/2*sqrt(-x^4 + 1) + 1/2/sqrt(-x^4 + 1)","A",0
896,1,11,0,1.363609," ","integrate(x^3/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\frac{1}{2 \, \sqrt{-x^{4} + 1}}"," ",0,"1/2/sqrt(-x^4 + 1)","A",0
897,1,40,0,1.307499," ","integrate(1/x/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\frac{1}{2 \, \sqrt{-x^{4} + 1}} - \frac{1}{4} \, \log\left(\sqrt{-x^{4} + 1} + 1\right) + \frac{1}{4} \, \log\left(\sqrt{-x^{4} + 1} - 1\right)"," ",0,"1/2/sqrt(-x^4 + 1) - 1/4*log(sqrt(-x^4 + 1) + 1) + 1/4*log(sqrt(-x^4 + 1) - 1)","A",0
898,1,61,0,1.367333," ","integrate(1/x^5/(-x^4+1)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, x^{4} - 1}{4 \, {\left({\left(-x^{4} + 1\right)}^{\frac{3}{2}} - \sqrt{-x^{4} + 1}\right)}} - \frac{3}{8} \, \log\left(\sqrt{-x^{4} + 1} + 1\right) + \frac{3}{8} \, \log\left(\sqrt{-x^{4} + 1} - 1\right)"," ",0,"-1/4*(3*x^4 - 1)/((-x^4 + 1)^(3/2) - sqrt(-x^4 + 1)) - 3/8*log(sqrt(-x^4 + 1) + 1) + 3/8*log(sqrt(-x^4 + 1) - 1)","A",0
899,1,60,0,2.953744," ","integrate(x^9/(-x^4+1)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{3 \, {\left(x^{4} - 1\right)}}{x^{4}} - 2}{4 \, {\left(\frac{\sqrt{-x^{4} + 1}}{x^{2}} + \frac{{\left(-x^{4} + 1\right)}^{\frac{3}{2}}}{x^{6}}\right)}} + \frac{3}{4} \, \arctan\left(\frac{\sqrt{-x^{4} + 1}}{x^{2}}\right)"," ",0,"-1/4*(3*(x^4 - 1)/x^4 - 2)/(sqrt(-x^4 + 1)/x^2 + (-x^4 + 1)^(3/2)/x^6) + 3/4*arctan(sqrt(-x^4 + 1)/x^2)","A",0
900,1,31,0,2.911001," ","integrate(x^5/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, \sqrt{-x^{4} + 1}} + \frac{1}{2} \, \arctan\left(\frac{\sqrt{-x^{4} + 1}}{x^{2}}\right)"," ",0,"1/2*x^2/sqrt(-x^4 + 1) + 1/2*arctan(sqrt(-x^4 + 1)/x^2)","A",0
901,1,14,0,1.275852," ","integrate(x/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, \sqrt{-x^{4} + 1}}"," ",0,"1/2*x^2/sqrt(-x^4 + 1)","A",0
902,1,29,0,1.319588," ","integrate(1/x^3/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, \sqrt{-x^{4} + 1}} - \frac{\sqrt{-x^{4} + 1}}{2 \, x^{2}}"," ",0,"1/2*x^2/sqrt(-x^4 + 1) - 1/2*sqrt(-x^4 + 1)/x^2","A",0
903,1,43,0,1.340864," ","integrate(1/x^7/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, \sqrt{-x^{4} + 1}} - \frac{\sqrt{-x^{4} + 1}}{x^{2}} - \frac{{\left(-x^{4} + 1\right)}^{\frac{3}{2}}}{6 \, x^{6}}"," ",0,"1/2*x^2/sqrt(-x^4 + 1) - sqrt(-x^4 + 1)/x^2 - 1/6*(-x^4 + 1)^(3/2)/x^6","A",0
904,0,0,0,0.000000," ","integrate(x^12/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{12}}{{\left(-x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^12/(-x^4 + 1)^(3/2), x)","F",0
905,0,0,0,0.000000," ","integrate(x^8/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{{\left(-x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^8/(-x^4 + 1)^(3/2), x)","F",0
906,0,0,0,0.000000," ","integrate(x^4/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(-x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^4/(-x^4 + 1)^(3/2), x)","F",0
907,0,0,0,0.000000," ","integrate(1/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((-x^4 + 1)^(-3/2), x)","F",0
908,0,0,0,0.000000," ","integrate(1/x^4/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + 1\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate(1/((-x^4 + 1)^(3/2)*x^4), x)","F",0
909,0,0,0,0.000000," ","integrate(1/x^8/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + 1\right)}^{\frac{3}{2}} x^{8}}\,{d x}"," ",0,"integrate(1/((-x^4 + 1)^(3/2)*x^8), x)","F",0
910,0,0,0,0.000000," ","integrate(x^14/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{14}}{{\left(-x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^14/(-x^4 + 1)^(3/2), x)","F",0
911,0,0,0,0.000000," ","integrate(x^10/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{10}}{{\left(-x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^10/(-x^4 + 1)^(3/2), x)","F",0
912,0,0,0,0.000000," ","integrate(x^6/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(-x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^6/(-x^4 + 1)^(3/2), x)","F",0
913,0,0,0,0.000000," ","integrate(x^2/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(-x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(-x^4 + 1)^(3/2), x)","F",0
914,0,0,0,0.000000," ","integrate(1/x^2/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + 1\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((-x^4 + 1)^(3/2)*x^2), x)","F",0
915,0,0,0,0.000000," ","integrate(1/x^6/(-x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + 1\right)}^{\frac{3}{2}} x^{6}}\,{d x}"," ",0,"integrate(1/((-x^4 + 1)^(3/2)*x^6), x)","F",0
916,0,0,0,0.000000," ","integrate(1/(-x^4+1)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(-x^{4} + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((-x^4 + 1)^(-5/2), x)","F",0
917,1,28,0,1.351814," ","integrate(x^11/(x^4+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{10} \, {\left(x^{4} + 1\right)}^{\frac{5}{2}} - \frac{1}{3} \, {\left(x^{4} + 1\right)}^{\frac{3}{2}} + \frac{1}{2} \, \sqrt{x^{4} + 1}"," ",0,"1/10*(x^4 + 1)^(5/2) - 1/3*(x^4 + 1)^(3/2) + 1/2*sqrt(x^4 + 1)","A",0
918,1,19,0,1.347175," ","integrate(x^7/(x^4+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(x^{4} + 1\right)}^{\frac{3}{2}} - \frac{1}{2} \, \sqrt{x^{4} + 1}"," ",0,"1/6*(x^4 + 1)^(3/2) - 1/2*sqrt(x^4 + 1)","A",0
919,1,9,0,1.307378," ","integrate(x^3/(x^4+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x^{4} + 1}"," ",0,"1/2*sqrt(x^4 + 1)","A",0
920,1,25,0,1.286411," ","integrate(1/x/(x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} + 1\right) + \frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} - 1\right)"," ",0,"-1/4*log(sqrt(x^4 + 1) + 1) + 1/4*log(sqrt(x^4 + 1) - 1)","B",0
921,1,37,0,1.383150," ","integrate(1/x^5/(x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{4} + 1}}{4 \, x^{4}} + \frac{1}{8} \, \log\left(\sqrt{x^{4} + 1} + 1\right) - \frac{1}{8} \, \log\left(\sqrt{x^{4} + 1} - 1\right)"," ",0,"-1/4*sqrt(x^4 + 1)/x^4 + 1/8*log(sqrt(x^4 + 1) + 1) - 1/8*log(sqrt(x^4 + 1) - 1)","A",0
922,1,58,0,1.419250," ","integrate(x^5/(x^4+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{4} + 1}}{4 \, x^{2} {\left(\frac{x^{4} + 1}{x^{4}} - 1\right)}} - \frac{1}{8} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} + 1\right) + \frac{1}{8} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} - 1\right)"," ",0,"1/4*sqrt(x^4 + 1)/(x^2*((x^4 + 1)/x^4 - 1)) - 1/8*log(sqrt(x^4 + 1)/x^2 + 1) + 1/8*log(sqrt(x^4 + 1)/x^2 - 1)","B",0
923,1,33,0,1.365628," ","integrate(x/(x^4+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} + 1\right) - \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} - 1\right)"," ",0,"1/4*log(sqrt(x^4 + 1)/x^2 + 1) - 1/4*log(sqrt(x^4 + 1)/x^2 - 1)","B",0
924,1,12,0,1.345906," ","integrate(1/x^3/(x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{4} + 1}}{2 \, x^{2}}"," ",0,"-1/2*sqrt(x^4 + 1)/x^2","A",0
925,1,25,0,1.323891," ","integrate(1/x^7/(x^4+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{4} + 1}}{2 \, x^{2}} - \frac{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}{6 \, x^{6}}"," ",0,"1/2*sqrt(x^4 + 1)/x^2 - 1/6*(x^4 + 1)^(3/2)/x^6","A",0
926,1,37,0,1.317615," ","integrate(1/x^11/(x^4+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{4} + 1}}{2 \, x^{2}} + \frac{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}{3 \, x^{6}} - \frac{{\left(x^{4} + 1\right)}^{\frac{5}{2}}}{10 \, x^{10}}"," ",0,"-1/2*sqrt(x^4 + 1)/x^2 + 1/3*(x^4 + 1)^(3/2)/x^6 - 1/10*(x^4 + 1)^(5/2)/x^10","A",0
927,0,0,0,0.000000," ","integrate(x^8/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{\sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(x^8/sqrt(x^4 + 1), x)","F",0
928,0,0,0,0.000000," ","integrate(x^4/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(x^4/sqrt(x^4 + 1), x)","F",0
929,0,0,0,0.000000," ","integrate(1/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(1/sqrt(x^4 + 1), x)","F",0
930,0,0,0,0.000000," ","integrate(1/x^4/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 1} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + 1)*x^4), x)","F",0
931,0,0,0,0.000000," ","integrate(1/x^8/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 1} x^{8}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + 1)*x^8), x)","F",0
932,0,0,0,0.000000," ","integrate(x^10/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{10}}{\sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(x^10/sqrt(x^4 + 1), x)","F",0
933,0,0,0,0.000000," ","integrate(x^6/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(x^6/sqrt(x^4 + 1), x)","F",0
934,0,0,0,0.000000," ","integrate(x^2/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{x^{4} + 1}}\,{d x}"," ",0,"integrate(x^2/sqrt(x^4 + 1), x)","F",0
935,0,0,0,0.000000," ","integrate(1/x^2/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 1} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + 1)*x^2), x)","F",0
936,0,0,0,0.000000," ","integrate(1/x^6/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} + 1} x^{6}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 + 1)*x^6), x)","F",0
937,1,28,0,1.274436," ","integrate(x^11/(x^4+1)^(3/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(x^{4} + 1\right)}^{\frac{3}{2}} - \sqrt{x^{4} + 1} - \frac{1}{2 \, \sqrt{x^{4} + 1}}"," ",0,"1/6*(x^4 + 1)^(3/2) - sqrt(x^4 + 1) - 1/2/sqrt(x^4 + 1)","A",0
938,1,19,0,1.310029," ","integrate(x^7/(x^4+1)^(3/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x^{4} + 1} + \frac{1}{2 \, \sqrt{x^{4} + 1}}"," ",0,"1/2*sqrt(x^4 + 1) + 1/2/sqrt(x^4 + 1)","A",0
939,1,9,0,1.278746," ","integrate(x^3/(x^4+1)^(3/2),x, algorithm=""maxima"")","-\frac{1}{2 \, \sqrt{x^{4} + 1}}"," ",0,"-1/2/sqrt(x^4 + 1)","A",0
940,1,34,0,1.283856," ","integrate(1/x/(x^4+1)^(3/2),x, algorithm=""maxima"")","\frac{1}{2 \, \sqrt{x^{4} + 1}} - \frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} + 1\right) + \frac{1}{4} \, \log\left(\sqrt{x^{4} + 1} - 1\right)"," ",0,"1/2/sqrt(x^4 + 1) - 1/4*log(sqrt(x^4 + 1) + 1) + 1/4*log(sqrt(x^4 + 1) - 1)","A",0
941,1,53,0,1.319262," ","integrate(1/x^5/(x^4+1)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, x^{4} + 1}{4 \, {\left({\left(x^{4} + 1\right)}^{\frac{3}{2}} - \sqrt{x^{4} + 1}\right)}} + \frac{3}{8} \, \log\left(\sqrt{x^{4} + 1} + 1\right) - \frac{3}{8} \, \log\left(\sqrt{x^{4} + 1} - 1\right)"," ",0,"-1/4*(3*x^4 + 1)/((x^4 + 1)^(3/2) - sqrt(x^4 + 1)) + 3/8*log(sqrt(x^4 + 1) + 1) - 3/8*log(sqrt(x^4 + 1) - 1)","A",0
942,1,73,0,1.378042," ","integrate(x^9/(x^4+1)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{3 \, {\left(x^{4} + 1\right)}}{x^{4}} - 2}{4 \, {\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} - \frac{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}{x^{6}}\right)}} - \frac{3}{8} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} + 1\right) + \frac{3}{8} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} - 1\right)"," ",0,"-1/4*(3*(x^4 + 1)/x^4 - 2)/(sqrt(x^4 + 1)/x^2 - (x^4 + 1)^(3/2)/x^6) - 3/8*log(sqrt(x^4 + 1)/x^2 + 1) + 3/8*log(sqrt(x^4 + 1)/x^2 - 1)","B",0
943,1,45,0,1.303329," ","integrate(x^5/(x^4+1)^(3/2),x, algorithm=""maxima"")","-\frac{x^{2}}{2 \, \sqrt{x^{4} + 1}} + \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} + 1\right) - \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 1}}{x^{2}} - 1\right)"," ",0,"-1/2*x^2/sqrt(x^4 + 1) + 1/4*log(sqrt(x^4 + 1)/x^2 + 1) - 1/4*log(sqrt(x^4 + 1)/x^2 - 1)","B",0
944,1,12,0,1.281491," ","integrate(x/(x^4+1)^(3/2),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, \sqrt{x^{4} + 1}}"," ",0,"1/2*x^2/sqrt(x^4 + 1)","A",0
945,1,25,0,1.361471," ","integrate(1/x^3/(x^4+1)^(3/2),x, algorithm=""maxima"")","-\frac{x^{2}}{2 \, \sqrt{x^{4} + 1}} - \frac{\sqrt{x^{4} + 1}}{2 \, x^{2}}"," ",0,"-1/2*x^2/sqrt(x^4 + 1) - 1/2*sqrt(x^4 + 1)/x^2","A",0
946,1,36,0,1.256028," ","integrate(1/x^7/(x^4+1)^(3/2),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, \sqrt{x^{4} + 1}} + \frac{\sqrt{x^{4} + 1}}{x^{2}} - \frac{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}{6 \, x^{6}}"," ",0,"1/2*x^2/sqrt(x^4 + 1) + sqrt(x^4 + 1)/x^2 - 1/6*(x^4 + 1)^(3/2)/x^6","A",0
947,0,0,0,0.000000," ","integrate(x^12/(x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{12}}{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^12/(x^4 + 1)^(3/2), x)","F",0
948,0,0,0,0.000000," ","integrate(x^8/(x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^8/(x^4 + 1)^(3/2), x)","F",0
949,0,0,0,0.000000," ","integrate(x^4/(x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^4/(x^4 + 1)^(3/2), x)","F",0
950,0,0,0,0.000000," ","integrate(1/(x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((x^4 + 1)^(-3/2), x)","F",0
951,0,0,0,0.000000," ","integrate(1/x^4/(x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 1\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate(1/((x^4 + 1)^(3/2)*x^4), x)","F",0
952,0,0,0,0.000000," ","integrate(1/x^8/(x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 1\right)}^{\frac{3}{2}} x^{8}}\,{d x}"," ",0,"integrate(1/((x^4 + 1)^(3/2)*x^8), x)","F",0
953,0,0,0,0.000000," ","integrate(x^14/(x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{14}}{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^14/(x^4 + 1)^(3/2), x)","F",0
954,0,0,0,0.000000," ","integrate(x^10/(x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{10}}{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^10/(x^4 + 1)^(3/2), x)","F",0
955,0,0,0,0.000000," ","integrate(x^6/(x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^6/(x^4 + 1)^(3/2), x)","F",0
956,0,0,0,0.000000," ","integrate(x^2/(x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(x^{4} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(x^4 + 1)^(3/2), x)","F",0
957,0,0,0,0.000000," ","integrate(1/x^2/(x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 1\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((x^4 + 1)^(3/2)*x^2), x)","F",0
958,0,0,0,0.000000," ","integrate(1/x^6/(x^4+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 1\right)}^{\frac{3}{2}} x^{6}}\,{d x}"," ",0,"integrate(1/((x^4 + 1)^(3/2)*x^6), x)","F",0
959,0,0,0,0.000000," ","integrate(1/(x^4+1)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{4} + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((x^4 + 1)^(-5/2), x)","F",0
960,1,23,0,1.280752," ","integrate(x^7/(-x^4+16)^(1/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(-x^{4} + 16\right)}^{\frac{3}{2}} - 8 \, \sqrt{-x^{4} + 16}"," ",0,"1/6*(-x^4 + 16)^(3/2) - 8*sqrt(-x^4 + 16)","A",0
961,1,44,0,2.966607," ","integrate(x^5/(-x^4+16)^(1/2),x, algorithm=""maxima"")","\frac{4 \, \sqrt{-x^{4} + 16}}{x^{2} {\left(\frac{x^{4} - 16}{x^{4}} - 1\right)}} - 4 \, \arctan\left(\frac{\sqrt{-x^{4} + 16}}{x^{2}}\right)"," ",0,"4*sqrt(-x^4 + 16)/(x^2*((x^4 - 16)/x^4 - 1)) - 4*arctan(sqrt(-x^4 + 16)/x^2)","A",0
962,1,11,0,1.296491," ","integrate(x^3/(-x^4+16)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{-x^{4} + 16}"," ",0,"-1/2*sqrt(-x^4 + 16)","A",0
963,1,16,0,2.957029," ","integrate(x/(-x^4+16)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \arctan\left(\frac{\sqrt{-x^{4} + 16}}{x^{2}}\right)"," ",0,"-1/2*arctan(sqrt(-x^4 + 16)/x^2)","A",0
964,1,29,0,1.308233," ","integrate(1/x/(-x^4+16)^(1/2),x, algorithm=""maxima"")","-\frac{1}{16} \, \log\left(\sqrt{-x^{4} + 16} + 4\right) + \frac{1}{16} \, \log\left(\sqrt{-x^{4} + 16} - 4\right)"," ",0,"-1/16*log(sqrt(-x^4 + 16) + 4) + 1/16*log(sqrt(-x^4 + 16) - 4)","B",0
965,1,14,0,1.345735," ","integrate(1/x^3/(-x^4+16)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{4} + 16}}{32 \, x^{2}}"," ",0,"-1/32*sqrt(-x^4 + 16)/x^2","A",0
966,1,43,0,1.320726," ","integrate(1/x^5/(-x^4+16)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{4} + 16}}{64 \, x^{4}} - \frac{1}{512} \, \log\left(\sqrt{-x^{4} + 16} + 4\right) + \frac{1}{512} \, \log\left(\sqrt{-x^{4} + 16} - 4\right)"," ",0,"-1/64*sqrt(-x^4 + 16)/x^4 - 1/512*log(sqrt(-x^4 + 16) + 4) + 1/512*log(sqrt(-x^4 + 16) - 4)","A",0
967,1,29,0,1.313695," ","integrate(1/x^7/(-x^4+16)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-x^{4} + 16}}{512 \, x^{2}} - \frac{{\left(-x^{4} + 16\right)}^{\frac{3}{2}}}{1536 \, x^{6}}"," ",0,"-1/512*sqrt(-x^4 + 16)/x^2 - 1/1536*(-x^4 + 16)^(3/2)/x^6","A",0
968,0,0,0,0.000000," ","integrate(x^6/(-x^4+16)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{-x^{4} + 16}}\,{d x}"," ",0,"integrate(x^6/sqrt(-x^4 + 16), x)","F",0
969,0,0,0,0.000000," ","integrate(x^4/(-x^4+16)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{-x^{4} + 16}}\,{d x}"," ",0,"integrate(x^4/sqrt(-x^4 + 16), x)","F",0
970,0,0,0,0.000000," ","integrate(x^2/(-x^4+16)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{-x^{4} + 16}}\,{d x}"," ",0,"integrate(x^2/sqrt(-x^4 + 16), x)","F",0
971,0,0,0,0.000000," ","integrate(1/(-x^4+16)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + 16}}\,{d x}"," ",0,"integrate(1/sqrt(-x^4 + 16), x)","F",0
972,0,0,0,0.000000," ","integrate(1/x^2/(-x^4+16)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + 16} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^4 + 16)*x^2), x)","F",0
973,0,0,0,0.000000," ","integrate(1/x^4/(-x^4+16)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-x^{4} + 16} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(-x^4 + 16)*x^4), x)","F",0
974,1,33,0,1.347593," ","integrate(x/(x^4-4)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} - 4}}{x^{2}} + 1\right) - \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} - 4}}{x^{2}} - 1\right)"," ",0,"1/4*log(sqrt(x^4 - 4)/x^2 + 1) - 1/4*log(sqrt(x^4 - 4)/x^2 - 1)","B",0
975,1,33,0,1.360209," ","integrate(x/(x^4+4)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 4}}{x^{2}} + 1\right) - \frac{1}{4} \, \log\left(\frac{\sqrt{x^{4} + 4}}{x^{2}} - 1\right)"," ",0,"1/4*log(sqrt(x^4 + 4)/x^2 + 1) - 1/4*log(sqrt(x^4 + 4)/x^2 - 1)","B",0
976,1,10,0,2.995236," ","integrate(1/x/(x^4-1)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(\sqrt{x^{4} - 1}\right)"," ",0,"1/2*arctan(sqrt(x^4 - 1))","A",0
977,0,0,0,0.000000," ","integrate(x^4/(x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{x^{4} - 1}}\,{d x}"," ",0,"integrate(x^4/sqrt(x^4 - 1), x)","F",0
978,0,0,0,0.000000," ","integrate(1/(x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} - 1}}\,{d x}"," ",0,"integrate(1/sqrt(x^4 - 1), x)","F",0
979,0,0,0,0.000000," ","integrate(1/x^4/(x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} - 1} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 - 1)*x^4), x)","F",0
980,0,0,0,0.000000," ","integrate(x^6/(x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{x^{4} - 1}}\,{d x}"," ",0,"integrate(x^6/sqrt(x^4 - 1), x)","F",0
981,0,0,0,0.000000," ","integrate(x^2/(x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{x^{4} - 1}}\,{d x}"," ",0,"integrate(x^2/sqrt(x^4 - 1), x)","F",0
982,0,0,0,0.000000," ","integrate(1/x^2/(x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{4} - 1} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x^4 - 1)*x^2), x)","F",0
983,0,0,0,0.000000," ","integrate(x^2/(-2*x^4+3)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{-2 \, x^{4} + 3}}\,{d x}"," ",0,"integrate(x^2/sqrt(-2*x^4 + 3), x)","F",0
984,0,0,0,0.000000," ","integrate(x^2/(-b*x^4+3)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{-b x^{4} + 3}}\,{d x}"," ",0,"integrate(x^2/sqrt(-b*x^4 + 3), x)","F",0
985,1,19,0,1.359071," ","integrate(x^7*(x^4+1)^(1/3),x, algorithm=""maxima"")","\frac{3}{28} \, {\left(x^{4} + 1\right)}^{\frac{7}{3}} - \frac{3}{16} \, {\left(x^{4} + 1\right)}^{\frac{4}{3}}"," ",0,"3/28*(x^4 + 1)^(7/3) - 3/16*(x^4 + 1)^(4/3)","A",0
986,1,9,0,1.353541," ","integrate(x^3/(x^4+1)^(4/3),x, algorithm=""maxima"")","-\frac{3}{4 \, {\left(x^{4} + 1\right)}^{\frac{1}{3}}}"," ",0,"-3/4/(x^4 + 1)^(1/3)","A",0
987,1,9,0,1.304847," ","integrate(x^3/(x^4+1)^(1/3),x, algorithm=""maxima"")","\frac{3}{8} \, {\left(x^{4} + 1\right)}^{\frac{2}{3}}"," ",0,"3/8*(x^4 + 1)^(2/3)","A",0
988,1,81,0,1.338088," ","integrate(x^19*(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{21}{4}}}{21 \, b^{5}} - \frac{4 \, {\left(b x^{4} + a\right)}^{\frac{17}{4}} a}{17 \, b^{5}} + \frac{6 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}} a^{2}}{13 \, b^{5}} - \frac{4 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}} a^{3}}{9 \, b^{5}} + \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}} a^{4}}{5 \, b^{5}}"," ",0,"1/21*(b*x^4 + a)^(21/4)/b^5 - 4/17*(b*x^4 + a)^(17/4)*a/b^5 + 6/13*(b*x^4 + a)^(13/4)*a^2/b^5 - 4/9*(b*x^4 + a)^(9/4)*a^3/b^5 + 1/5*(b*x^4 + a)^(5/4)*a^4/b^5","A",0
989,1,64,0,1.295526," ","integrate(x^15*(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{17}{4}}}{17 \, b^{4}} - \frac{3 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}} a}{13 \, b^{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{9}{4}} a^{2}}{3 \, b^{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}} a^{3}}{5 \, b^{4}}"," ",0,"1/17*(b*x^4 + a)^(17/4)/b^4 - 3/13*(b*x^4 + a)^(13/4)*a/b^4 + 1/3*(b*x^4 + a)^(9/4)*a^2/b^4 - 1/5*(b*x^4 + a)^(5/4)*a^3/b^4","A",0
990,1,47,0,1.367217," ","integrate(x^11*(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{13}{4}}}{13 \, b^{3}} - \frac{2 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}} a}{9 \, b^{3}} + \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}} a^{2}}{5 \, b^{3}}"," ",0,"1/13*(b*x^4 + a)^(13/4)/b^3 - 2/9*(b*x^4 + a)^(9/4)*a/b^3 + 1/5*(b*x^4 + a)^(5/4)*a^2/b^3","A",0
991,1,30,0,1.356649," ","integrate(x^7*(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{9}{4}}}{9 \, b^{2}} - \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}} a}{5 \, b^{2}}"," ",0,"1/9*(b*x^4 + a)^(9/4)/b^2 - 1/5*(b*x^4 + a)^(5/4)*a/b^2","A",0
992,1,14,0,1.336859," ","integrate(x^3*(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}{5 \, b}"," ",0,"1/5*(b*x^4 + a)^(5/4)/b","A",0
993,1,66,0,2.919830," ","integrate((b*x^4+a)^(1/4)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, a^{\frac{1}{4}} \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right) + \frac{1}{4} \, a^{\frac{1}{4}} \log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right) + {\left(b x^{4} + a\right)}^{\frac{1}{4}}"," ",0,"-1/2*a^(1/4)*arctan((b*x^4 + a)^(1/4)/a^(1/4)) + 1/4*a^(1/4)*log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4))) + (b*x^4 + a)^(1/4)","A",0
994,1,73,0,3.016813," ","integrate((b*x^4+a)^(1/4)/x^5,x, algorithm=""maxima"")","-\frac{b \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{8 \, a^{\frac{3}{4}}} + \frac{b \log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{16 \, a^{\frac{3}{4}}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{4 \, x^{4}}"," ",0,"-1/8*b*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(3/4) + 1/16*b*log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(3/4) - 1/4*(b*x^4 + a)^(1/4)/x^4","A",0
995,1,129,0,2.931870," ","integrate((b*x^4+a)^(1/4)/x^9,x, algorithm=""maxima"")","-\frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}} b^{2} + 3 \, {\left(b x^{4} + a\right)}^{\frac{1}{4}} a b^{2}}{32 \, {\left({\left(b x^{4} + a\right)}^{2} a - 2 \, {\left(b x^{4} + a\right)} a^{2} + a^{3}\right)}} + \frac{3 \, {\left(\frac{2 \, b^{2} \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}} - \frac{b^{2} \log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}}\right)}}{128 \, a}"," ",0,"-1/32*((b*x^4 + a)^(5/4)*b^2 + 3*(b*x^4 + a)^(1/4)*a*b^2)/((b*x^4 + a)^2*a - 2*(b*x^4 + a)*a^2 + a^3) + 3/128*(2*b^2*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(3/4) - b^2*log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(3/4))/a","A",0
996,0,0,0,0.000000," ","integrate(x^9*(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{1}{4}} x^{9}\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4)*x^9, x)","F",0
997,0,0,0,0.000000," ","integrate(x^5*(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{1}{4}} x^{5}\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4)*x^5, x)","F",0
998,0,0,0,0.000000," ","integrate(x*(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{1}{4}} x\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4)*x, x)","F",0
999,0,0,0,0.000000," ","integrate((b*x^4+a)^(1/4)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x^{3}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4)/x^3, x)","F",0
1000,0,0,0,0.000000," ","integrate((b*x^4+a)^(1/4)/x^7,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x^{7}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4)/x^7, x)","F",0
1001,0,0,0,0.000000," ","integrate((b*x^4+a)^(1/4)/x^11,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x^{11}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4)/x^11, x)","F",0
1002,1,152,0,2.975988," ","integrate(x^6*(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{\frac{3 \, {\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{2} b}{x} + \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}} a^{2}}{x^{5}}}{32 \, {\left(b^{3} - \frac{2 \, {\left(b x^{4} + a\right)} b^{2}}{x^{4}} + \frac{{\left(b x^{4} + a\right)}^{2} b}{x^{8}}\right)}} - \frac{3 \, {\left(\frac{2 \, a^{2} \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{3}{4}}} - \frac{a^{2} \log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{3}{4}}}\right)}}{128 \, b}"," ",0,"1/32*(3*(b*x^4 + a)^(1/4)*a^2*b/x + (b*x^4 + a)^(5/4)*a^2/x^5)/(b^3 - 2*(b*x^4 + a)*b^2/x^4 + (b*x^4 + a)^2*b/x^8) - 3/128*(2*a^2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(3/4) - a^2*log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(3/4))/b","A",0
1003,1,101,0,2.995817," ","integrate(x^2*(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{a \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{8 \, b^{\frac{3}{4}}} - \frac{a \log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{16 \, b^{\frac{3}{4}}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a}{4 \, {\left(b - \frac{b x^{4} + a}{x^{4}}\right)} x}"," ",0,"1/8*a*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(3/4) - 1/16*a*log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(3/4) - 1/4*(b*x^4 + a)^(1/4)*a/((b - (b*x^4 + a)/x^4)*x)","A",0
1004,1,82,0,2.870679," ","integrate((b*x^4+a)^(1/4)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, b^{\frac{1}{4}} \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right) - \frac{1}{4} \, b^{\frac{1}{4}} \log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right) - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}"," ",0,"1/2*b^(1/4)*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x)) - 1/4*b^(1/4)*log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x)) - (b*x^4 + a)^(1/4)/x","A",0
1005,1,17,0,1.326156," ","integrate((b*x^4+a)^(1/4)/x^6,x, algorithm=""maxima"")","-\frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}{5 \, a x^{5}}"," ",0,"-1/5*(b*x^4 + a)^(5/4)/(a*x^5)","A",0
1006,1,35,0,1.342580," ","integrate((b*x^4+a)^(1/4)/x^10,x, algorithm=""maxima"")","\frac{\frac{9 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} b}{x^{5}} - \frac{5 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}}}{x^{9}}}{45 \, a^{2}}"," ",0,"1/45*(9*(b*x^4 + a)^(5/4)*b/x^5 - 5*(b*x^4 + a)^(9/4)/x^9)/a^2","A",0
1007,1,52,0,1.325860," ","integrate((b*x^4+a)^(1/4)/x^14,x, algorithm=""maxima"")","-\frac{\frac{117 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} b^{2}}{x^{5}} - \frac{130 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}} b}{x^{9}} + \frac{45 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}}}{x^{13}}}{585 \, a^{3}}"," ",0,"-1/585*(117*(b*x^4 + a)^(5/4)*b^2/x^5 - 130*(b*x^4 + a)^(9/4)*b/x^9 + 45*(b*x^4 + a)^(13/4)/x^13)/a^3","A",0
1008,1,69,0,1.358758," ","integrate((b*x^4+a)^(1/4)/x^18,x, algorithm=""maxima"")","\frac{\frac{663 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} b^{3}}{x^{5}} - \frac{1105 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}} b^{2}}{x^{9}} + \frac{765 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}} b}{x^{13}} - \frac{195 \, {\left(b x^{4} + a\right)}^{\frac{17}{4}}}{x^{17}}}{3315 \, a^{4}}"," ",0,"1/3315*(663*(b*x^4 + a)^(5/4)*b^3/x^5 - 1105*(b*x^4 + a)^(9/4)*b^2/x^9 + 765*(b*x^4 + a)^(13/4)*b/x^13 - 195*(b*x^4 + a)^(17/4)/x^17)/a^4","A",0
1009,0,0,0,0.000000," ","integrate(x^12*(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{1}{4}} x^{12}\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4)*x^12, x)","F",0
1010,0,0,0,0.000000," ","integrate(x^8*(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{1}{4}} x^{8}\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4)*x^8, x)","F",0
1011,0,0,0,0.000000," ","integrate(x^4*(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{1}{4}} x^{4}\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4)*x^4, x)","F",0
1012,0,0,0,0.000000," ","integrate((b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4), x)","F",0
1013,0,0,0,0.000000," ","integrate((b*x^4+a)^(1/4)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x^{4}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4)/x^4, x)","F",0
1014,0,0,0,0.000000," ","integrate((b*x^4+a)^(1/4)/x^8,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x^{8}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4)/x^8, x)","F",0
1015,0,0,0,0.000000," ","integrate((b*x^4+a)^(1/4)/x^12,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x^{12}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4)/x^12, x)","F",0
1016,0,0,0,0.000000," ","integrate((b*x^4+a)^(1/4)/x^16,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x^{16}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(1/4)/x^16, x)","F",0
1017,1,81,0,1.354860," ","integrate(x^19*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{23}{4}}}{23 \, b^{5}} - \frac{4 \, {\left(b x^{4} + a\right)}^{\frac{19}{4}} a}{19 \, b^{5}} + \frac{2 \, {\left(b x^{4} + a\right)}^{\frac{15}{4}} a^{2}}{5 \, b^{5}} - \frac{4 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}} a^{3}}{11 \, b^{5}} + \frac{{\left(b x^{4} + a\right)}^{\frac{7}{4}} a^{4}}{7 \, b^{5}}"," ",0,"1/23*(b*x^4 + a)^(23/4)/b^5 - 4/19*(b*x^4 + a)^(19/4)*a/b^5 + 2/5*(b*x^4 + a)^(15/4)*a^2/b^5 - 4/11*(b*x^4 + a)^(11/4)*a^3/b^5 + 1/7*(b*x^4 + a)^(7/4)*a^4/b^5","A",0
1018,1,64,0,1.332682," ","integrate(x^15*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{19}{4}}}{19 \, b^{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{15}{4}} a}{5 \, b^{4}} + \frac{3 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}} a^{2}}{11 \, b^{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{7}{4}} a^{3}}{7 \, b^{4}}"," ",0,"1/19*(b*x^4 + a)^(19/4)/b^4 - 1/5*(b*x^4 + a)^(15/4)*a/b^4 + 3/11*(b*x^4 + a)^(11/4)*a^2/b^4 - 1/7*(b*x^4 + a)^(7/4)*a^3/b^4","A",0
1019,1,47,0,1.301318," ","integrate(x^11*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{15}{4}}}{15 \, b^{3}} - \frac{2 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}} a}{11 \, b^{3}} + \frac{{\left(b x^{4} + a\right)}^{\frac{7}{4}} a^{2}}{7 \, b^{3}}"," ",0,"1/15*(b*x^4 + a)^(15/4)/b^3 - 2/11*(b*x^4 + a)^(11/4)*a/b^3 + 1/7*(b*x^4 + a)^(7/4)*a^2/b^3","A",0
1020,1,30,0,1.358680," ","integrate(x^7*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{11}{4}}}{11 \, b^{2}} - \frac{{\left(b x^{4} + a\right)}^{\frac{7}{4}} a}{7 \, b^{2}}"," ",0,"1/11*(b*x^4 + a)^(11/4)/b^2 - 1/7*(b*x^4 + a)^(7/4)*a/b^2","A",0
1021,1,14,0,1.274477," ","integrate(x^3*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{7}{4}}}{7 \, b}"," ",0,"1/7*(b*x^4 + a)^(7/4)/b","A",0
1022,1,71,0,2.921199," ","integrate((b*x^4+a)^(3/4)/x,x, algorithm=""maxima"")","\frac{1}{4} \, a {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}}\right)} + \frac{1}{3} \, {\left(b x^{4} + a\right)}^{\frac{3}{4}}"," ",0,"1/4*a*(2*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(1/4) + log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(1/4)) + 1/3*(b*x^4 + a)^(3/4)","A",0
1023,1,74,0,3.013170," ","integrate((b*x^4+a)^(3/4)/x^5,x, algorithm=""maxima"")","\frac{3}{16} \, b {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}}\right)} - \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}{4 \, x^{4}}"," ",0,"3/16*b*(2*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(1/4) + log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(1/4)) - 1/4*(b*x^4 + a)^(3/4)/x^4","A",0
1024,1,125,0,2.994730," ","integrate((b*x^4+a)^(3/4)/x^9,x, algorithm=""maxima"")","-\frac{3 \, b^{2} {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}}\right)}}{128 \, a} - \frac{3 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} b^{2} + {\left(b x^{4} + a\right)}^{\frac{3}{4}} a b^{2}}{32 \, {\left({\left(b x^{4} + a\right)}^{2} a - 2 \, {\left(b x^{4} + a\right)} a^{2} + a^{3}\right)}}"," ",0,"-3/128*b^2*(2*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(1/4) + log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(1/4))/a - 1/32*(3*(b*x^4 + a)^(7/4)*b^2 + (b*x^4 + a)^(3/4)*a*b^2)/((b*x^4 + a)^2*a - 2*(b*x^4 + a)*a^2 + a^3)","A",0
1025,0,0,0,0.000000," ","integrate(x^9*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{3}{4}} x^{9}\,{d x}"," ",0,"integrate((b*x^4 + a)^(3/4)*x^9, x)","F",0
1026,0,0,0,0.000000," ","integrate(x^5*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{3}{4}} x^{5}\,{d x}"," ",0,"integrate((b*x^4 + a)^(3/4)*x^5, x)","F",0
1027,0,0,0,0.000000," ","integrate(x*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{3}{4}} x\,{d x}"," ",0,"integrate((b*x^4 + a)^(3/4)*x, x)","F",0
1028,0,0,0,0.000000," ","integrate((b*x^4+a)^(3/4)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}{x^{3}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(3/4)/x^3, x)","F",0
1029,0,0,0,0.000000," ","integrate((b*x^4+a)^(3/4)/x^7,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}{x^{7}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(3/4)/x^7, x)","F",0
1030,0,0,0,0.000000," ","integrate((b*x^4+a)^(3/4)/x^11,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}{x^{11}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(3/4)/x^11, x)","F",0
1031,1,225,0,3.080224," ","integrate(x^12*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{45 \, a^{4} {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{1}{4}}}\right)}}{8192 \, b^{3}} + \frac{\frac{15 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} a^{4} b^{3}}{x^{3}} + \frac{239 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} a^{4} b^{2}}{x^{7}} - \frac{171 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}} a^{4} b}{x^{11}} + \frac{45 \, {\left(b x^{4} + a\right)}^{\frac{15}{4}} a^{4}}{x^{15}}}{2048 \, {\left(b^{7} - \frac{4 \, {\left(b x^{4} + a\right)} b^{6}}{x^{4}} + \frac{6 \, {\left(b x^{4} + a\right)}^{2} b^{5}}{x^{8}} - \frac{4 \, {\left(b x^{4} + a\right)}^{3} b^{4}}{x^{12}} + \frac{{\left(b x^{4} + a\right)}^{4} b^{3}}{x^{16}}\right)}}"," ",0,"45/8192*a^4*(2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(1/4) + log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(1/4))/b^3 + 1/2048*(15*(b*x^4 + a)^(3/4)*a^4*b^3/x^3 + 239*(b*x^4 + a)^(7/4)*a^4*b^2/x^7 - 171*(b*x^4 + a)^(11/4)*a^4*b/x^11 + 45*(b*x^4 + a)^(15/4)*a^4/x^15)/(b^7 - 4*(b*x^4 + a)*b^6/x^4 + 6*(b*x^4 + a)^2*b^5/x^8 - 4*(b*x^4 + a)^3*b^4/x^12 + (b*x^4 + a)^4*b^3/x^16)","A",0
1032,1,189,0,2.950749," ","integrate(x^8*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{5 \, a^{3} {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{1}{4}}}\right)}}{512 \, b^{2}} - \frac{\frac{5 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} a^{3} b^{2}}{x^{3}} + \frac{42 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} a^{3} b}{x^{7}} - \frac{15 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}} a^{3}}{x^{11}}}{384 \, {\left(b^{5} - \frac{3 \, {\left(b x^{4} + a\right)} b^{4}}{x^{4}} + \frac{3 \, {\left(b x^{4} + a\right)}^{2} b^{3}}{x^{8}} - \frac{{\left(b x^{4} + a\right)}^{3} b^{2}}{x^{12}}\right)}}"," ",0,"-5/512*a^3*(2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(1/4) + log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(1/4))/b^2 - 1/384*(5*(b*x^4 + a)^(3/4)*a^3*b^2/x^3 + 42*(b*x^4 + a)^(7/4)*a^3*b/x^7 - 15*(b*x^4 + a)^(11/4)*a^3/x^11)/(b^5 - 3*(b*x^4 + a)*b^4/x^4 + 3*(b*x^4 + a)^2*b^3/x^8 - (b*x^4 + a)^3*b^2/x^12)","A",0
1033,1,148,0,3.028324," ","integrate(x^4*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{3 \, a^{2} {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{1}{4}}}\right)}}{128 \, b} + \frac{\frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}} a^{2} b}{x^{3}} + \frac{3 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} a^{2}}{x^{7}}}{32 \, {\left(b^{3} - \frac{2 \, {\left(b x^{4} + a\right)} b^{2}}{x^{4}} + \frac{{\left(b x^{4} + a\right)}^{2} b}{x^{8}}\right)}}"," ",0,"3/128*a^2*(2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(1/4) + log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(1/4))/b + 1/32*((b*x^4 + a)^(3/4)*a^2*b/x^3 + 3*(b*x^4 + a)^(7/4)*a^2/x^7)/(b^3 - 2*(b*x^4 + a)*b^2/x^4 + (b*x^4 + a)^2*b/x^8)","A",0
1034,1,102,0,2.895121," ","integrate((b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{3}{16} \, a {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{1}{4}}}\right)} - \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}} a}{4 \, {\left(b - \frac{b x^{4} + a}{x^{4}}\right)} x^{3}}"," ",0,"-3/16*a*(2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(1/4) + log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(1/4)) - 1/4*(b*x^4 + a)^(3/4)*a/((b - (b*x^4 + a)/x^4)*x^3)","A",0
1035,1,85,0,3.028358," ","integrate((b*x^4+a)^(3/4)/x^4,x, algorithm=""maxima"")","-\frac{1}{4} \, b {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{1}{4}}}\right)} - \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}{3 \, x^{3}}"," ",0,"-1/4*b*(2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(1/4) + log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(1/4)) - 1/3*(b*x^4 + a)^(3/4)/x^3","A",0
1036,1,17,0,1.361934," ","integrate((b*x^4+a)^(3/4)/x^8,x, algorithm=""maxima"")","-\frac{{\left(b x^{4} + a\right)}^{\frac{7}{4}}}{7 \, a x^{7}}"," ",0,"-1/7*(b*x^4 + a)^(7/4)/(a*x^7)","A",0
1037,1,35,0,1.338785," ","integrate((b*x^4+a)^(3/4)/x^12,x, algorithm=""maxima"")","\frac{\frac{11 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} b}{x^{7}} - \frac{7 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}}}{x^{11}}}{77 \, a^{2}}"," ",0,"1/77*(11*(b*x^4 + a)^(7/4)*b/x^7 - 7*(b*x^4 + a)^(11/4)/x^11)/a^2","A",0
1038,1,52,0,1.295804," ","integrate((b*x^4+a)^(3/4)/x^16,x, algorithm=""maxima"")","-\frac{\frac{165 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} b^{2}}{x^{7}} - \frac{210 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}} b}{x^{11}} + \frac{77 \, {\left(b x^{4} + a\right)}^{\frac{15}{4}}}{x^{15}}}{1155 \, a^{3}}"," ",0,"-1/1155*(165*(b*x^4 + a)^(7/4)*b^2/x^7 - 210*(b*x^4 + a)^(11/4)*b/x^11 + 77*(b*x^4 + a)^(15/4)/x^15)/a^3","A",0
1039,1,69,0,1.367891," ","integrate((b*x^4+a)^(3/4)/x^20,x, algorithm=""maxima"")","\frac{\frac{1045 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} b^{3}}{x^{7}} - \frac{1995 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}} b^{2}}{x^{11}} + \frac{1463 \, {\left(b x^{4} + a\right)}^{\frac{15}{4}} b}{x^{15}} - \frac{385 \, {\left(b x^{4} + a\right)}^{\frac{19}{4}}}{x^{19}}}{7315 \, a^{4}}"," ",0,"1/7315*(1045*(b*x^4 + a)^(7/4)*b^3/x^7 - 1995*(b*x^4 + a)^(11/4)*b^2/x^11 + 1463*(b*x^4 + a)^(15/4)*b/x^15 - 385*(b*x^4 + a)^(19/4)/x^19)/a^4","A",0
1040,0,0,0,0.000000," ","integrate(x^10*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{3}{4}} x^{10}\,{d x}"," ",0,"integrate((b*x^4 + a)^(3/4)*x^10, x)","F",0
1041,0,0,0,0.000000," ","integrate(x^6*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{3}{4}} x^{6}\,{d x}"," ",0,"integrate((b*x^4 + a)^(3/4)*x^6, x)","F",0
1042,0,0,0,0.000000," ","integrate(x^2*(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{3}{4}} x^{2}\,{d x}"," ",0,"integrate((b*x^4 + a)^(3/4)*x^2, x)","F",0
1043,0,0,0,0.000000," ","integrate((b*x^4+a)^(3/4)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(3/4)/x^2, x)","F",0
1044,0,0,0,0.000000," ","integrate((b*x^4+a)^(3/4)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}{x^{6}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(3/4)/x^6, x)","F",0
1045,0,0,0,0.000000," ","integrate((b*x^4+a)^(3/4)/x^10,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}{x^{10}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(3/4)/x^10, x)","F",0
1046,0,0,0,0.000000," ","integrate((b*x^4+a)^(3/4)/x^14,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}{x^{14}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(3/4)/x^14, x)","F",0
1047,1,81,0,1.351349," ","integrate(x^19*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{25}{4}}}{25 \, b^{5}} - \frac{4 \, {\left(b x^{4} + a\right)}^{\frac{21}{4}} a}{21 \, b^{5}} + \frac{6 \, {\left(b x^{4} + a\right)}^{\frac{17}{4}} a^{2}}{17 \, b^{5}} - \frac{4 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}} a^{3}}{13 \, b^{5}} + \frac{{\left(b x^{4} + a\right)}^{\frac{9}{4}} a^{4}}{9 \, b^{5}}"," ",0,"1/25*(b*x^4 + a)^(25/4)/b^5 - 4/21*(b*x^4 + a)^(21/4)*a/b^5 + 6/17*(b*x^4 + a)^(17/4)*a^2/b^5 - 4/13*(b*x^4 + a)^(13/4)*a^3/b^5 + 1/9*(b*x^4 + a)^(9/4)*a^4/b^5","A",0
1048,1,64,0,1.314281," ","integrate(x^15*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{21}{4}}}{21 \, b^{4}} - \frac{3 \, {\left(b x^{4} + a\right)}^{\frac{17}{4}} a}{17 \, b^{4}} + \frac{3 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}} a^{2}}{13 \, b^{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{9}{4}} a^{3}}{9 \, b^{4}}"," ",0,"1/21*(b*x^4 + a)^(21/4)/b^4 - 3/17*(b*x^4 + a)^(17/4)*a/b^4 + 3/13*(b*x^4 + a)^(13/4)*a^2/b^4 - 1/9*(b*x^4 + a)^(9/4)*a^3/b^4","A",0
1049,1,47,0,1.292660," ","integrate(x^11*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{17}{4}}}{17 \, b^{3}} - \frac{2 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}} a}{13 \, b^{3}} + \frac{{\left(b x^{4} + a\right)}^{\frac{9}{4}} a^{2}}{9 \, b^{3}}"," ",0,"1/17*(b*x^4 + a)^(17/4)/b^3 - 2/13*(b*x^4 + a)^(13/4)*a/b^3 + 1/9*(b*x^4 + a)^(9/4)*a^2/b^3","A",0
1050,1,30,0,1.407748," ","integrate(x^7*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{13}{4}}}{13 \, b^{2}} - \frac{{\left(b x^{4} + a\right)}^{\frac{9}{4}} a}{9 \, b^{2}}"," ",0,"1/13*(b*x^4 + a)^(13/4)/b^2 - 1/9*(b*x^4 + a)^(9/4)*a/b^2","A",0
1051,1,14,0,1.615726," ","integrate(x^3*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{9}{4}}}{9 \, b}"," ",0,"1/9*(b*x^4 + a)^(9/4)/b","A",0
1052,1,79,0,2.949212," ","integrate((b*x^4+a)^(5/4)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, a^{\frac{5}{4}} \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right) + \frac{1}{4} \, a^{\frac{5}{4}} \log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right) + \frac{1}{5} \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} + {\left(b x^{4} + a\right)}^{\frac{1}{4}} a"," ",0,"-1/2*a^(5/4)*arctan((b*x^4 + a)^(1/4)/a^(1/4)) + 1/4*a^(5/4)*log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4))) + 1/5*(b*x^4 + a)^(5/4) + (b*x^4 + a)^(1/4)*a","A",0
1053,1,89,0,2.972040," ","integrate((b*x^4+a)^(5/4)/x^5,x, algorithm=""maxima"")","-\frac{5}{16} \, {\left(\frac{2 \, b \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}} - \frac{b \log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}}\right)} a + {\left(b x^{4} + a\right)}^{\frac{1}{4}} b - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a}{4 \, x^{4}}"," ",0,"-5/16*(2*b*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(3/4) - b*log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(3/4))*a + (b*x^4 + a)^(1/4)*b - 1/4*(b*x^4 + a)^(1/4)*a/x^4","A",0
1054,1,120,0,2.887152," ","integrate((b*x^4+a)^(5/4)/x^9,x, algorithm=""maxima"")","-\frac{5 \, b^{2} \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{64 \, a^{\frac{3}{4}}} + \frac{5 \, b^{2} \log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{128 \, a^{\frac{3}{4}}} - \frac{9 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} b^{2} - 5 \, {\left(b x^{4} + a\right)}^{\frac{1}{4}} a b^{2}}{32 \, {\left({\left(b x^{4} + a\right)}^{2} - 2 \, {\left(b x^{4} + a\right)} a + a^{2}\right)}}"," ",0,"-5/64*b^2*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(3/4) + 5/128*b^2*log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(3/4) - 1/32*(9*(b*x^4 + a)^(5/4)*b^2 - 5*(b*x^4 + a)^(1/4)*a*b^2)/((b*x^4 + a)^2 - 2*(b*x^4 + a)*a + a^2)","A",0
1055,0,0,0,0.000000," ","integrate(x^9*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{5}{4}} x^{9}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)*x^9, x)","F",0
1056,0,0,0,0.000000," ","integrate(x^5*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{5}{4}} x^{5}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)*x^5, x)","F",0
1057,0,0,0,0.000000," ","integrate(x*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{5}{4}} x\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)*x, x)","F",0
1058,0,0,0,0.000000," ","integrate((b*x^4+a)^(5/4)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}{x^{3}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)/x^3, x)","F",0
1059,0,0,0,0.000000," ","integrate((b*x^4+a)^(5/4)/x^7,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}{x^{7}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)/x^7, x)","F",0
1060,0,0,0,0.000000," ","integrate((b*x^4+a)^(5/4)/x^11,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}{x^{11}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)/x^11, x)","F",0
1061,0,0,0,0.000000," ","integrate((b*x^4+a)^(5/4)/x^15,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}{x^{15}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)/x^15, x)","F",0
1062,1,229,0,2.974365," ","integrate(x^10*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","-\frac{\frac{105 \, {\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{4} b^{3}}{x} - \frac{399 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} a^{4} b^{2}}{x^{5}} - \frac{125 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}} a^{4} b}{x^{9}} + \frac{35 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}} a^{4}}{x^{13}}}{6144 \, {\left(b^{6} - \frac{4 \, {\left(b x^{4} + a\right)} b^{5}}{x^{4}} + \frac{6 \, {\left(b x^{4} + a\right)}^{2} b^{4}}{x^{8}} - \frac{4 \, {\left(b x^{4} + a\right)}^{3} b^{3}}{x^{12}} + \frac{{\left(b x^{4} + a\right)}^{4} b^{2}}{x^{16}}\right)}} + \frac{35 \, {\left(\frac{2 \, a^{4} \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{3}{4}}} - \frac{a^{4} \log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{3}{4}}}\right)}}{8192 \, b^{2}}"," ",0,"-1/6144*(105*(b*x^4 + a)^(1/4)*a^4*b^3/x - 399*(b*x^4 + a)^(5/4)*a^4*b^2/x^5 - 125*(b*x^4 + a)^(9/4)*a^4*b/x^9 + 35*(b*x^4 + a)^(13/4)*a^4/x^13)/(b^6 - 4*(b*x^4 + a)*b^5/x^4 + 6*(b*x^4 + a)^2*b^4/x^8 - 4*(b*x^4 + a)^3*b^3/x^12 + (b*x^4 + a)^4*b^2/x^16) + 35/8192*(2*a^4*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(3/4) - a^4*log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(3/4))/b^2","A",0
1063,1,191,0,3.072665," ","integrate(x^6*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{\frac{15 \, {\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{3} b^{2}}{x} - \frac{42 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} a^{3} b}{x^{5}} - \frac{5 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}} a^{3}}{x^{9}}}{384 \, {\left(b^{4} - \frac{3 \, {\left(b x^{4} + a\right)} b^{3}}{x^{4}} + \frac{3 \, {\left(b x^{4} + a\right)}^{2} b^{2}}{x^{8}} - \frac{{\left(b x^{4} + a\right)}^{3} b}{x^{12}}\right)}} - \frac{5 \, {\left(\frac{2 \, a^{3} \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{3}{4}}} - \frac{a^{3} \log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{3}{4}}}\right)}}{512 \, b}"," ",0,"1/384*(15*(b*x^4 + a)^(1/4)*a^3*b^2/x - 42*(b*x^4 + a)^(5/4)*a^3*b/x^5 - 5*(b*x^4 + a)^(9/4)*a^3/x^9)/(b^4 - 3*(b*x^4 + a)*b^3/x^4 + 3*(b*x^4 + a)^2*b^2/x^8 - (b*x^4 + a)^3*b/x^12) - 5/512*(2*a^3*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(3/4) - a^3*log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(3/4))/b","A",0
1064,1,144,0,2.955829," ","integrate(x^2*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{5 \, a^{2} \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{64 \, b^{\frac{3}{4}}} - \frac{5 \, a^{2} \log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{128 \, b^{\frac{3}{4}}} - \frac{\frac{5 \, {\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{2} b}{x} - \frac{9 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} a^{2}}{x^{5}}}{32 \, {\left(b^{2} - \frac{2 \, {\left(b x^{4} + a\right)} b}{x^{4}} + \frac{{\left(b x^{4} + a\right)}^{2}}{x^{8}}\right)}}"," ",0,"5/64*a^2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(3/4) - 5/128*a^2*log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(3/4) - 1/32*(5*(b*x^4 + a)^(1/4)*a^2*b/x - 9*(b*x^4 + a)^(5/4)*a^2/x^5)/(b^2 - 2*(b*x^4 + a)*b/x^4 + (b*x^4 + a)^2/x^8)","A",0
1065,1,119,0,3.020305," ","integrate((b*x^4+a)^(5/4)/x^2,x, algorithm=""maxima"")","\frac{5}{16} \, {\left(2 \, b^{\frac{1}{4}} \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right) - b^{\frac{1}{4}} \log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)\right)} a - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a}{x} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a b}{4 \, {\left(b - \frac{b x^{4} + a}{x^{4}}\right)} x}"," ",0,"5/16*(2*b^(1/4)*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x)) - b^(1/4)*log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x)))*a - (b*x^4 + a)^(1/4)*a/x - 1/4*(b*x^4 + a)^(1/4)*a*b/((b - (b*x^4 + a)/x^4)*x)","A",0
1066,1,97,0,2.951498," ","integrate((b*x^4+a)^(5/4)/x^6,x, algorithm=""maxima"")","\frac{1}{2} \, b^{\frac{5}{4}} \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right) - \frac{1}{4} \, b^{\frac{5}{4}} \log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right) - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} b}{x} - \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}{5 \, x^{5}}"," ",0,"1/2*b^(5/4)*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x)) - 1/4*b^(5/4)*log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x)) - (b*x^4 + a)^(1/4)*b/x - 1/5*(b*x^4 + a)^(5/4)/x^5","A",0
1067,1,17,0,1.382397," ","integrate((b*x^4+a)^(5/4)/x^10,x, algorithm=""maxima"")","-\frac{{\left(b x^{4} + a\right)}^{\frac{9}{4}}}{9 \, a x^{9}}"," ",0,"-1/9*(b*x^4 + a)^(9/4)/(a*x^9)","A",0
1068,1,35,0,1.308727," ","integrate((b*x^4+a)^(5/4)/x^14,x, algorithm=""maxima"")","\frac{\frac{13 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}} b}{x^{9}} - \frac{9 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}}}{x^{13}}}{117 \, a^{2}}"," ",0,"1/117*(13*(b*x^4 + a)^(9/4)*b/x^9 - 9*(b*x^4 + a)^(13/4)/x^13)/a^2","A",0
1069,1,52,0,1.327567," ","integrate((b*x^4+a)^(5/4)/x^18,x, algorithm=""maxima"")","-\frac{\frac{221 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}} b^{2}}{x^{9}} - \frac{306 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}} b}{x^{13}} + \frac{117 \, {\left(b x^{4} + a\right)}^{\frac{17}{4}}}{x^{17}}}{1989 \, a^{3}}"," ",0,"-1/1989*(221*(b*x^4 + a)^(9/4)*b^2/x^9 - 306*(b*x^4 + a)^(13/4)*b/x^13 + 117*(b*x^4 + a)^(17/4)/x^17)/a^3","A",0
1070,1,69,0,1.373567," ","integrate((b*x^4+a)^(5/4)/x^22,x, algorithm=""maxima"")","\frac{\frac{1547 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}} b^{3}}{x^{9}} - \frac{3213 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}} b^{2}}{x^{13}} + \frac{2457 \, {\left(b x^{4} + a\right)}^{\frac{17}{4}} b}{x^{17}} - \frac{663 \, {\left(b x^{4} + a\right)}^{\frac{21}{4}}}{x^{21}}}{13923 \, a^{4}}"," ",0,"1/13923*(1547*(b*x^4 + a)^(9/4)*b^3/x^9 - 3213*(b*x^4 + a)^(13/4)*b^2/x^13 + 2457*(b*x^4 + a)^(17/4)*b/x^17 - 663*(b*x^4 + a)^(21/4)/x^21)/a^4","A",0
1071,0,0,0,0.000000," ","integrate(x^12*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{5}{4}} x^{12}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)*x^12, x)","F",0
1072,0,0,0,0.000000," ","integrate(x^8*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{5}{4}} x^{8}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)*x^8, x)","F",0
1073,0,0,0,0.000000," ","integrate(x^4*(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{5}{4}} x^{4}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)*x^4, x)","F",0
1074,0,0,0,0.000000," ","integrate((b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int {\left(b x^{4} + a\right)}^{\frac{5}{4}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4), x)","F",0
1075,0,0,0,0.000000," ","integrate((b*x^4+a)^(5/4)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}{x^{4}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)/x^4, x)","F",0
1076,0,0,0,0.000000," ","integrate((b*x^4+a)^(5/4)/x^8,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}{x^{8}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)/x^8, x)","F",0
1077,0,0,0,0.000000," ","integrate((b*x^4+a)^(5/4)/x^12,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}{x^{12}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)/x^12, x)","F",0
1078,0,0,0,0.000000," ","integrate((b*x^4+a)^(5/4)/x^16,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}{x^{16}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(5/4)/x^16, x)","F",0
1079,1,143,0,3.025094," ","integrate((b*x^4+a)^(7/4),x, algorithm=""maxima"")","-\frac{21}{128} \, a^{2} {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{1}{4}}}\right)} - \frac{\frac{7 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} a^{2} b}{x^{3}} - \frac{11 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} a^{2}}{x^{7}}}{32 \, {\left(b^{2} - \frac{2 \, {\left(b x^{4} + a\right)} b}{x^{4}} + \frac{{\left(b x^{4} + a\right)}^{2}}{x^{8}}\right)}}"," ",0,"-21/128*a^2*(2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(1/4) + log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(1/4)) - 1/32*(7*(b*x^4 + a)^(3/4)*a^2*b/x^3 - 11*(b*x^4 + a)^(7/4)*a^2/x^7)/(b^2 - 2*(b*x^4 + a)*b/x^4 + (b*x^4 + a)^2/x^8)","A",0
1080,1,81,0,1.380524," ","integrate(x^19/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{19}{4}}}{19 \, b^{5}} - \frac{4 \, {\left(b x^{4} + a\right)}^{\frac{15}{4}} a}{15 \, b^{5}} + \frac{6 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}} a^{2}}{11 \, b^{5}} - \frac{4 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} a^{3}}{7 \, b^{5}} + \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}} a^{4}}{3 \, b^{5}}"," ",0,"1/19*(b*x^4 + a)^(19/4)/b^5 - 4/15*(b*x^4 + a)^(15/4)*a/b^5 + 6/11*(b*x^4 + a)^(11/4)*a^2/b^5 - 4/7*(b*x^4 + a)^(7/4)*a^3/b^5 + 1/3*(b*x^4 + a)^(3/4)*a^4/b^5","A",0
1081,1,64,0,1.340791," ","integrate(x^15/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{15}{4}}}{15 \, b^{4}} - \frac{3 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}} a}{11 \, b^{4}} + \frac{3 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} a^{2}}{7 \, b^{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}} a^{3}}{3 \, b^{4}}"," ",0,"1/15*(b*x^4 + a)^(15/4)/b^4 - 3/11*(b*x^4 + a)^(11/4)*a/b^4 + 3/7*(b*x^4 + a)^(7/4)*a^2/b^4 - 1/3*(b*x^4 + a)^(3/4)*a^3/b^4","A",0
1082,1,47,0,1.317705," ","integrate(x^11/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{11}{4}}}{11 \, b^{3}} - \frac{2 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} a}{7 \, b^{3}} + \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}} a^{2}}{3 \, b^{3}}"," ",0,"1/11*(b*x^4 + a)^(11/4)/b^3 - 2/7*(b*x^4 + a)^(7/4)*a/b^3 + 1/3*(b*x^4 + a)^(3/4)*a^2/b^3","A",0
1083,1,30,0,1.340577," ","integrate(x^7/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{7}{4}}}{7 \, b^{2}} - \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}} a}{3 \, b^{2}}"," ",0,"1/7*(b*x^4 + a)^(7/4)/b^2 - 1/3*(b*x^4 + a)^(3/4)*a/b^2","A",0
1084,1,14,0,1.306780," ","integrate(x^3/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}{3 \, b}"," ",0,"1/3*(b*x^4 + a)^(3/4)/b","A",0
1085,1,57,0,2.886162," ","integrate(1/x/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{2 \, a^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{4 \, a^{\frac{1}{4}}}"," ",0,"1/2*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(1/4) + 1/4*log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(1/4)","A",0
1086,1,92,0,2.943881," ","integrate(1/x^5/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{b {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}}\right)}}{16 \, a} - \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}} b}{4 \, {\left({\left(b x^{4} + a\right)} a - a^{2}\right)}}"," ",0,"-1/16*b*(2*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(1/4) + log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(1/4))/a - 1/4*(b*x^4 + a)^(3/4)*b/((b*x^4 + a)*a - a^2)","A",0
1087,1,128,0,2.994520," ","integrate(1/x^9/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{5 \, b^{2} {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}}\right)}}{128 \, a^{2}} + \frac{5 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} b^{2} - 9 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} a b^{2}}{32 \, {\left({\left(b x^{4} + a\right)}^{2} a^{2} - 2 \, {\left(b x^{4} + a\right)} a^{3} + a^{4}\right)}}"," ",0,"5/128*b^2*(2*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(1/4) + log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(1/4))/a^2 + 1/32*(5*(b*x^4 + a)^(7/4)*b^2 - 9*(b*x^4 + a)^(3/4)*a*b^2)/((b*x^4 + a)^2*a^2 - 2*(b*x^4 + a)*a^3 + a^4)","A",0
1088,0,0,0,0.000000," ","integrate(x^13/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{13}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^13/(b*x^4 + a)^(1/4), x)","F",0
1089,0,0,0,0.000000," ","integrate(x^9/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{9}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^9/(b*x^4 + a)^(1/4), x)","F",0
1090,0,0,0,0.000000," ","integrate(x^5/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{5}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^5/(b*x^4 + a)^(1/4), x)","F",0
1091,0,0,0,0.000000," ","integrate(x/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x/(b*x^4 + a)^(1/4), x)","F",0
1092,0,0,0,0.000000," ","integrate(1/x^3/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(1/4)*x^3), x)","F",0
1093,0,0,0,0.000000," ","integrate(1/x^7/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} x^{7}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(1/4)*x^7), x)","F",0
1094,0,0,0,0.000000," ","integrate(1/x^11/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} x^{11}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(1/4)*x^11), x)","F",0
1095,1,151,0,3.128804," ","integrate(x^8/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{5 \, a^{2} {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{1}{4}}}\right)}}{128 \, b^{2}} + \frac{\frac{9 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} a^{2} b}{x^{3}} - \frac{5 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} a^{2}}{x^{7}}}{32 \, {\left(b^{4} - \frac{2 \, {\left(b x^{4} + a\right)} b^{3}}{x^{4}} + \frac{{\left(b x^{4} + a\right)}^{2} b^{2}}{x^{8}}\right)}}"," ",0,"-5/128*a^2*(2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(1/4) + log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(1/4))/b^2 + 1/32*(9*(b*x^4 + a)^(3/4)*a^2*b/x^3 - 5*(b*x^4 + a)^(7/4)*a^2/x^7)/(b^4 - 2*(b*x^4 + a)*b^3/x^4 + (b*x^4 + a)^2*b^2/x^8)","A",0
1096,1,108,0,2.934561," ","integrate(x^4/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{a {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{1}{4}}}\right)}}{16 \, b} - \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}} a}{4 \, {\left(b^{2} - \frac{{\left(b x^{4} + a\right)} b}{x^{4}}\right)} x^{3}}"," ",0,"1/16*a*(2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(1/4) + log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(1/4))/b - 1/4*(b*x^4 + a)^(3/4)*a/((b^2 - (b*x^4 + a)*b/x^4)*x^3)","A",0
1097,1,68,0,2.985122," ","integrate(1/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{2 \, b^{\frac{1}{4}}} - \frac{\log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{4 \, b^{\frac{1}{4}}}"," ",0,"-1/2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(1/4) - 1/4*log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(1/4)","A",0
1098,1,17,0,1.268058," ","integrate(1/x^4/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}{3 \, a x^{3}}"," ",0,"-1/3*(b*x^4 + a)^(3/4)/(a*x^3)","A",0
1099,1,35,0,1.344126," ","integrate(1/x^8/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{\frac{7 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} b}{x^{3}} - \frac{3 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}}}{x^{7}}}{21 \, a^{2}}"," ",0,"1/21*(7*(b*x^4 + a)^(3/4)*b/x^3 - 3*(b*x^4 + a)^(7/4)/x^7)/a^2","A",0
1100,1,52,0,1.326523," ","integrate(1/x^12/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{\frac{77 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} b^{2}}{x^{3}} - \frac{66 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} b}{x^{7}} + \frac{21 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}}}{x^{11}}}{231 \, a^{3}}"," ",0,"-1/231*(77*(b*x^4 + a)^(3/4)*b^2/x^3 - 66*(b*x^4 + a)^(7/4)*b/x^7 + 21*(b*x^4 + a)^(11/4)/x^11)/a^3","A",0
1101,1,69,0,1.345767," ","integrate(1/x^16/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{\frac{385 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} b^{3}}{x^{3}} - \frac{495 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} b^{2}}{x^{7}} + \frac{315 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}} b}{x^{11}} - \frac{77 \, {\left(b x^{4} + a\right)}^{\frac{15}{4}}}{x^{15}}}{1155 \, a^{4}}"," ",0,"1/1155*(385*(b*x^4 + a)^(3/4)*b^3/x^3 - 495*(b*x^4 + a)^(7/4)*b^2/x^7 + 315*(b*x^4 + a)^(11/4)*b/x^11 - 77*(b*x^4 + a)^(15/4)/x^15)/a^4","A",0
1102,1,86,0,1.329300," ","integrate(1/x^20/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{\frac{7315 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} b^{4}}{x^{3}} - \frac{12540 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} b^{3}}{x^{7}} + \frac{11970 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}} b^{2}}{x^{11}} - \frac{5852 \, {\left(b x^{4} + a\right)}^{\frac{15}{4}} b}{x^{15}} + \frac{1155 \, {\left(b x^{4} + a\right)}^{\frac{19}{4}}}{x^{19}}}{21945 \, a^{5}}"," ",0,"-1/21945*(7315*(b*x^4 + a)^(3/4)*b^4/x^3 - 12540*(b*x^4 + a)^(7/4)*b^3/x^7 + 11970*(b*x^4 + a)^(11/4)*b^2/x^11 - 5852*(b*x^4 + a)^(15/4)*b/x^15 + 1155*(b*x^4 + a)^(19/4)/x^19)/a^5","A",0
1103,0,0,0,0.000000," ","integrate(x^10/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{10}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^10/(b*x^4 + a)^(1/4), x)","F",0
1104,0,0,0,0.000000," ","integrate(x^6/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^6/(b*x^4 + a)^(1/4), x)","F",0
1105,0,0,0,0.000000," ","integrate(x^2/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^2/(b*x^4 + a)^(1/4), x)","F",0
1106,0,0,0,0.000000," ","integrate(1/x^2/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(1/4)*x^2), x)","F",0
1107,0,0,0,0.000000," ","integrate(1/x^6/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(1/4)*x^6), x)","F",0
1108,0,0,0,0.000000," ","integrate(1/x^10/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} x^{10}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(1/4)*x^10), x)","F",0
1109,0,0,0,0.000000," ","integrate(1/x^14/(b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} x^{14}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(1/4)*x^14), x)","F",0
1110,1,80,0,1.361684," ","integrate(x^19/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{17}{4}}}{17 \, b^{5}} - \frac{4 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}} a}{13 \, b^{5}} + \frac{2 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}} a^{2}}{3 \, b^{5}} - \frac{4 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} a^{3}}{5 \, b^{5}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{4}}{b^{5}}"," ",0,"1/17*(b*x^4 + a)^(17/4)/b^5 - 4/13*(b*x^4 + a)^(13/4)*a/b^5 + 2/3*(b*x^4 + a)^(9/4)*a^2/b^5 - 4/5*(b*x^4 + a)^(5/4)*a^3/b^5 + (b*x^4 + a)^(1/4)*a^4/b^5","A",0
1111,1,64,0,1.298697," ","integrate(x^15/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{13}{4}}}{13 \, b^{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{9}{4}} a}{3 \, b^{4}} + \frac{3 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} a^{2}}{5 \, b^{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{3}}{b^{4}}"," ",0,"1/13*(b*x^4 + a)^(13/4)/b^4 - 1/3*(b*x^4 + a)^(9/4)*a/b^4 + 3/5*(b*x^4 + a)^(5/4)*a^2/b^4 - (b*x^4 + a)^(1/4)*a^3/b^4","A",0
1112,1,46,0,1.330842," ","integrate(x^11/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{9}{4}}}{9 \, b^{3}} - \frac{2 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} a}{5 \, b^{3}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{2}}{b^{3}}"," ",0,"1/9*(b*x^4 + a)^(9/4)/b^3 - 2/5*(b*x^4 + a)^(5/4)*a/b^3 + (b*x^4 + a)^(1/4)*a^2/b^3","A",0
1113,1,30,0,1.269875," ","integrate(x^7/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}{5 \, b^{2}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a}{b^{2}}"," ",0,"1/5*(b*x^4 + a)^(5/4)/b^2 - (b*x^4 + a)^(1/4)*a/b^2","A",0
1114,1,13,0,1.347845," ","integrate(x^3/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b}"," ",0,"(b*x^4 + a)^(1/4)/b","A",0
1115,1,57,0,3.009943," ","integrate(1/x/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{2 \, a^{\frac{3}{4}}} + \frac{\log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{4 \, a^{\frac{3}{4}}}"," ",0,"-1/2*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(3/4) + 1/4*log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(3/4)","A",0
1116,1,94,0,3.028079," ","integrate(1/x^5/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} b}{4 \, {\left({\left(b x^{4} + a\right)} a - a^{2}\right)}} + \frac{3 \, {\left(\frac{2 \, b \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}} - \frac{b \log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}}\right)}}{16 \, a}"," ",0,"-1/4*(b*x^4 + a)^(1/4)*b/((b*x^4 + a)*a - a^2) + 3/16*(2*b*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(3/4) - b*log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(3/4))/a","A",0
1117,1,132,0,3.101509," ","integrate(1/x^9/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{7 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} b^{2} - 11 \, {\left(b x^{4} + a\right)}^{\frac{1}{4}} a b^{2}}{32 \, {\left({\left(b x^{4} + a\right)}^{2} a^{2} - 2 \, {\left(b x^{4} + a\right)} a^{3} + a^{4}\right)}} - \frac{21 \, {\left(\frac{2 \, b^{2} \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}} - \frac{b^{2} \log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}}\right)}}{128 \, a^{2}}"," ",0,"1/32*(7*(b*x^4 + a)^(5/4)*b^2 - 11*(b*x^4 + a)^(1/4)*a*b^2)/((b*x^4 + a)^2*a^2 - 2*(b*x^4 + a)*a^3 + a^4) - 21/128*(2*b^2*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(3/4) - b^2*log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(3/4))/a^2","A",0
1118,0,0,0,0.000000," ","integrate(x^13/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{13}}{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^13/(b*x^4 + a)^(3/4), x)","F",0
1119,0,0,0,0.000000," ","integrate(x^9/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{9}}{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^9/(b*x^4 + a)^(3/4), x)","F",0
1120,0,0,0,0.000000," ","integrate(x^5/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{5}}{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^5/(b*x^4 + a)^(3/4), x)","F",0
1121,0,0,0,0.000000," ","integrate(x/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x/(b*x^4 + a)^(3/4), x)","F",0
1122,0,0,0,0.000000," ","integrate(1/x^3/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{3}{4}} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(3/4)*x^3), x)","F",0
1123,0,0,0,0.000000," ","integrate(1/x^7/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{3}{4}} x^{7}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(3/4)*x^7), x)","F",0
1124,0,0,0,0.000000," ","integrate(1/x^11/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{3}{4}} x^{11}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(3/4)*x^11), x)","F",0
1125,1,155,0,2.995607," ","integrate(x^10/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{\frac{11 \, {\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{2} b}{x} - \frac{7 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} a^{2}}{x^{5}}}{32 \, {\left(b^{4} - \frac{2 \, {\left(b x^{4} + a\right)} b^{3}}{x^{4}} + \frac{{\left(b x^{4} + a\right)}^{2} b^{2}}{x^{8}}\right)}} + \frac{21 \, {\left(\frac{2 \, a^{2} \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{3}{4}}} - \frac{a^{2} \log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{3}{4}}}\right)}}{128 \, b^{2}}"," ",0,"1/32*(11*(b*x^4 + a)^(1/4)*a^2*b/x - 7*(b*x^4 + a)^(5/4)*a^2/x^5)/(b^4 - 2*(b*x^4 + a)*b^3/x^4 + (b*x^4 + a)^2*b^2/x^8) + 21/128*(2*a^2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(3/4) - a^2*log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(3/4))/b^2","A",0
1126,1,110,0,2.999712," ","integrate(x^6/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{3 \, {\left(\frac{2 \, a \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{3}{4}}} - \frac{a \log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{3}{4}}}\right)}}{16 \, b} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a}{4 \, {\left(b^{2} - \frac{{\left(b x^{4} + a\right)} b}{x^{4}}\right)} x}"," ",0,"-3/16*(2*a*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(3/4) - a*log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(3/4))/b - 1/4*(b*x^4 + a)^(1/4)*a/((b^2 - (b*x^4 + a)*b/x^4)*x)","A",0
1127,1,68,0,2.898117," ","integrate(x^2/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{2 \, b^{\frac{3}{4}}} - \frac{\log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{4 \, b^{\frac{3}{4}}}"," ",0,"1/2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(3/4) - 1/4*log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(3/4)","A",0
1128,1,17,0,1.331235," ","integrate(1/x^2/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a x}"," ",0,"-(b*x^4 + a)^(1/4)/(a*x)","A",0
1129,1,35,0,1.329742," ","integrate(1/x^6/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{\frac{5 \, {\left(b x^{4} + a\right)}^{\frac{1}{4}} b}{x} - \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}{x^{5}}}{5 \, a^{2}}"," ",0,"1/5*(5*(b*x^4 + a)^(1/4)*b/x - (b*x^4 + a)^(5/4)/x^5)/a^2","A",0
1130,1,52,0,1.365434," ","integrate(1/x^10/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{\frac{45 \, {\left(b x^{4} + a\right)}^{\frac{1}{4}} b^{2}}{x} - \frac{18 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} b}{x^{5}} + \frac{5 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}}}{x^{9}}}{45 \, a^{3}}"," ",0,"-1/45*(45*(b*x^4 + a)^(1/4)*b^2/x - 18*(b*x^4 + a)^(5/4)*b/x^5 + 5*(b*x^4 + a)^(9/4)/x^9)/a^3","A",0
1131,1,69,0,1.356990," ","integrate(1/x^14/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{\frac{195 \, {\left(b x^{4} + a\right)}^{\frac{1}{4}} b^{3}}{x} - \frac{117 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} b^{2}}{x^{5}} + \frac{65 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}} b}{x^{9}} - \frac{15 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}}}{x^{13}}}{195 \, a^{4}}"," ",0,"1/195*(195*(b*x^4 + a)^(1/4)*b^3/x - 117*(b*x^4 + a)^(5/4)*b^2/x^5 + 65*(b*x^4 + a)^(9/4)*b/x^9 - 15*(b*x^4 + a)^(13/4)/x^13)/a^4","A",0
1132,0,0,0,0.000000," ","integrate(x^12/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{12}}{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^12/(b*x^4 + a)^(3/4), x)","F",0
1133,0,0,0,0.000000," ","integrate(x^8/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{8}}{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^8/(b*x^4 + a)^(3/4), x)","F",0
1134,0,0,0,0.000000," ","integrate(x^4/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^4/(b*x^4 + a)^(3/4), x)","F",0
1135,0,0,0,0.000000," ","integrate(1/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(-3/4), x)","F",0
1136,0,0,0,0.000000," ","integrate(1/x^4/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{3}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(3/4)*x^4), x)","F",0
1137,0,0,0,0.000000," ","integrate(1/x^8/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{3}{4}} x^{8}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(3/4)*x^8), x)","F",0
1138,0,0,0,0.000000," ","integrate(1/x^12/(b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{3}{4}} x^{12}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(3/4)*x^12), x)","F",0
1139,1,81,0,1.117207," ","integrate(x^19/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{15}{4}}}{15 \, b^{5}} - \frac{4 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}} a}{11 \, b^{5}} + \frac{6 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} a^{2}}{7 \, b^{5}} - \frac{4 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} a^{3}}{3 \, b^{5}} - \frac{a^{4}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} b^{5}}"," ",0,"1/15*(b*x^4 + a)^(15/4)/b^5 - 4/11*(b*x^4 + a)^(11/4)*a/b^5 + 6/7*(b*x^4 + a)^(7/4)*a^2/b^5 - 4/3*(b*x^4 + a)^(3/4)*a^3/b^5 - a^4/((b*x^4 + a)^(1/4)*b^5)","A",0
1140,1,62,0,1.364311," ","integrate(x^15/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{11}{4}}}{11 \, b^{4}} - \frac{3 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} a}{7 \, b^{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}} a^{2}}{b^{4}} + \frac{a^{3}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} b^{4}}"," ",0,"1/11*(b*x^4 + a)^(11/4)/b^4 - 3/7*(b*x^4 + a)^(7/4)*a/b^4 + (b*x^4 + a)^(3/4)*a^2/b^4 + a^3/((b*x^4 + a)^(1/4)*b^4)","A",0
1141,1,47,0,1.203168," ","integrate(x^11/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{7}{4}}}{7 \, b^{3}} - \frac{2 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} a}{3 \, b^{3}} - \frac{a^{2}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} b^{3}}"," ",0,"1/7*(b*x^4 + a)^(7/4)/b^3 - 2/3*(b*x^4 + a)^(3/4)*a/b^3 - a^2/((b*x^4 + a)^(1/4)*b^3)","A",0
1142,1,29,0,1.316813," ","integrate(x^7/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}{3 \, b^{2}} + \frac{a}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} b^{2}}"," ",0,"1/3*(b*x^4 + a)^(3/4)/b^2 + a/((b*x^4 + a)^(1/4)*b^2)","A",0
1143,1,14,0,1.303582," ","integrate(x^3/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","-\frac{1}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} b}"," ",0,"-1/((b*x^4 + a)^(1/4)*b)","A",0
1144,1,75,0,3.092356," ","integrate(1/x/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}}}{4 \, a} + \frac{1}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a}"," ",0,"1/4*(2*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(1/4) + log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(1/4))/a + 1/((b*x^4 + a)^(1/4)*a)","A",0
1145,1,110,0,2.977612," ","integrate(1/x^5/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","-\frac{5 \, {\left(b x^{4} + a\right)} b - 4 \, a b}{4 \, {\left({\left(b x^{4} + a\right)}^{\frac{5}{4}} a^{2} - {\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{3}\right)}} - \frac{5 \, b {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}}\right)}}{16 \, a^{2}}"," ",0,"-1/4*(5*(b*x^4 + a)*b - 4*a*b)/((b*x^4 + a)^(5/4)*a^2 - (b*x^4 + a)^(1/4)*a^3) - 5/16*b*(2*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(1/4) + log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(1/4))/a^2","A",0
1146,1,146,0,2.993236," ","integrate(1/x^9/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{45 \, {\left(b x^{4} + a\right)}^{2} b^{2} - 81 \, {\left(b x^{4} + a\right)} a b^{2} + 32 \, a^{2} b^{2}}{32 \, {\left({\left(b x^{4} + a\right)}^{\frac{9}{4}} a^{3} - 2 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} a^{4} + {\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{5}\right)}} + \frac{45 \, b^{2} {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}}\right)}}{128 \, a^{3}}"," ",0,"1/32*(45*(b*x^4 + a)^2*b^2 - 81*(b*x^4 + a)*a*b^2 + 32*a^2*b^2)/((b*x^4 + a)^(9/4)*a^3 - 2*(b*x^4 + a)^(5/4)*a^4 + (b*x^4 + a)^(1/4)*a^5) + 45/128*b^2*(2*arctan((b*x^4 + a)^(1/4)/a^(1/4))/a^(1/4) + log(((b*x^4 + a)^(1/4) - a^(1/4))/((b*x^4 + a)^(1/4) + a^(1/4)))/a^(1/4))/a^3","A",0
1147,0,0,0,0.000000," ","integrate(x^13/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{13}}{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^13/(b*x^4 + a)^(5/4), x)","F",0
1148,0,0,0,0.000000," ","integrate(x^9/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{9}}{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^9/(b*x^4 + a)^(5/4), x)","F",0
1149,0,0,0,0.000000," ","integrate(x^5/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{5}}{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^5/(b*x^4 + a)^(5/4), x)","F",0
1150,0,0,0,0.000000," ","integrate(x/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x/(b*x^4 + a)^(5/4), x)","F",0
1151,0,0,0,0.000000," ","integrate(1/x^3/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{5}{4}} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(5/4)*x^3), x)","F",0
1152,0,0,0,0.000000," ","integrate(1/x^7/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{5}{4}} x^{7}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(5/4)*x^7), x)","F",0
1153,0,0,0,0.000000," ","integrate(1/x^11/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{5}{4}} x^{11}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(5/4)*x^11), x)","F",0
1154,1,172,0,3.192497," ","integrate(x^12/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","-\frac{32 \, a^{2} b^{2} - \frac{81 \, {\left(b x^{4} + a\right)} a^{2} b}{x^{4}} + \frac{45 \, {\left(b x^{4} + a\right)}^{2} a^{2}}{x^{8}}}{32 \, {\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} b^{5}}{x} - \frac{2 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} b^{4}}{x^{5}} + \frac{{\left(b x^{4} + a\right)}^{\frac{9}{4}} b^{3}}{x^{9}}\right)}} - \frac{45 \, a^{2} {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{1}{4}}}\right)}}{128 \, b^{3}}"," ",0,"-1/32*(32*a^2*b^2 - 81*(b*x^4 + a)*a^2*b/x^4 + 45*(b*x^4 + a)^2*a^2/x^8)/((b*x^4 + a)^(1/4)*b^5/x - 2*(b*x^4 + a)^(5/4)*b^4/x^5 + (b*x^4 + a)^(9/4)*b^3/x^9) - 45/128*a^2*(2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(1/4) + log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(1/4))/b^3","A",0
1155,1,130,0,2.881455," ","integrate(x^8/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{4 \, a b - \frac{5 \, {\left(b x^{4} + a\right)} a}{x^{4}}}{4 \, {\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}} b^{3}}{x} - \frac{{\left(b x^{4} + a\right)}^{\frac{5}{4}} b^{2}}{x^{5}}\right)}} + \frac{5 \, a {\left(\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{1}{4}}}\right)}}{16 \, b^{2}}"," ",0,"1/4*(4*a*b - 5*(b*x^4 + a)*a/x^4)/((b*x^4 + a)^(1/4)*b^3/x - (b*x^4 + a)^(5/4)*b^2/x^5) + 5/16*a*(2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(1/4) + log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(1/4))/b^2","A",0
1156,1,88,0,3.197286," ","integrate(x^4/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","-\frac{\frac{2 \, \arctan\left(\frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{b^{\frac{1}{4}} x}\right)}{b^{\frac{1}{4}}} + \frac{\log\left(-\frac{b^{\frac{1}{4}} - \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}{b^{\frac{1}{4}} + \frac{{\left(b x^{4} + a\right)}^{\frac{1}{4}}}{x}}\right)}{b^{\frac{1}{4}}}}{4 \, b} - \frac{x}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} b}"," ",0,"-1/4*(2*arctan((b*x^4 + a)^(1/4)/(b^(1/4)*x))/b^(1/4) + log(-(b^(1/4) - (b*x^4 + a)^(1/4)/x)/(b^(1/4) + (b*x^4 + a)^(1/4)/x))/b^(1/4))/b - x/((b*x^4 + a)^(1/4)*b)","A",0
1157,1,14,0,1.358196," ","integrate(1/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{x}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a}"," ",0,"x/((b*x^4 + a)^(1/4)*a)","A",0
1158,1,34,0,1.425366," ","integrate(1/x^4/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","-\frac{b x}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{2}} - \frac{{\left(b x^{4} + a\right)}^{\frac{3}{4}}}{3 \, a^{2} x^{3}}"," ",0,"-b*x/((b*x^4 + a)^(1/4)*a^2) - 1/3*(b*x^4 + a)^(3/4)/(a^2*x^3)","A",0
1159,1,53,0,1.586672," ","integrate(1/x^8/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{b^{2} x}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{3}} + \frac{\frac{14 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} b}{x^{3}} - \frac{3 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}}}{x^{7}}}{21 \, a^{3}}"," ",0,"b^2*x/((b*x^4 + a)^(1/4)*a^3) + 1/21*(14*(b*x^4 + a)^(3/4)*b/x^3 - 3*(b*x^4 + a)^(7/4)/x^7)/a^3","A",0
1160,1,71,0,1.287835," ","integrate(1/x^12/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","-\frac{b^{3} x}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{4}} - \frac{\frac{77 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} b^{2}}{x^{3}} - \frac{33 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} b}{x^{7}} + \frac{7 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}}}{x^{11}}}{77 \, a^{4}}"," ",0,"-b^3*x/((b*x^4 + a)^(1/4)*a^4) - 1/77*(77*(b*x^4 + a)^(3/4)*b^2/x^3 - 33*(b*x^4 + a)^(7/4)*b/x^7 + 7*(b*x^4 + a)^(11/4)/x^11)/a^4","A",0
1161,1,87,0,1.363385," ","integrate(1/x^16/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\frac{b^{4} x}{{\left(b x^{4} + a\right)}^{\frac{1}{4}} a^{5}} + \frac{\frac{1540 \, {\left(b x^{4} + a\right)}^{\frac{3}{4}} b^{3}}{x^{3}} - \frac{990 \, {\left(b x^{4} + a\right)}^{\frac{7}{4}} b^{2}}{x^{7}} + \frac{420 \, {\left(b x^{4} + a\right)}^{\frac{11}{4}} b}{x^{11}} - \frac{77 \, {\left(b x^{4} + a\right)}^{\frac{15}{4}}}{x^{15}}}{1155 \, a^{5}}"," ",0,"b^4*x/((b*x^4 + a)^(1/4)*a^5) + 1/1155*(1540*(b*x^4 + a)^(3/4)*b^3/x^3 - 990*(b*x^4 + a)^(7/4)*b^2/x^7 + 420*(b*x^4 + a)^(11/4)*b/x^11 - 77*(b*x^4 + a)^(15/4)/x^15)/a^5","A",0
1162,0,0,0,0.000000," ","integrate(x^14/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{14}}{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^14/(b*x^4 + a)^(5/4), x)","F",0
1163,0,0,0,0.000000," ","integrate(x^10/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{10}}{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^10/(b*x^4 + a)^(5/4), x)","F",0
1164,0,0,0,0.000000," ","integrate(x^6/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^6/(b*x^4 + a)^(5/4), x)","F",0
1165,0,0,0,0.000000," ","integrate(x^2/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(b x^{4} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^2/(b*x^4 + a)^(5/4), x)","F",0
1166,0,0,0,0.000000," ","integrate(1/x^2/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{5}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(5/4)*x^2), x)","F",0
1167,0,0,0,0.000000," ","integrate(1/x^6/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{5}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(5/4)*x^6), x)","F",0
1168,0,0,0,0.000000," ","integrate(1/x^10/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{5}{4}} x^{10}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(5/4)*x^10), x)","F",0
1169,0,0,0,0.000000," ","integrate(1/x^14/(b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{5}{4}} x^{14}}\,{d x}"," ",0,"integrate(1/((b*x^4 + a)^(5/4)*x^14), x)","F",0
1170,0,0,0,0.000000," ","integrate(1/(b*x^4+a)^(7/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{7}{4}}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(-7/4), x)","F",0
1171,1,31,0,1.444884," ","integrate(1/(b*x^4+a)^(9/4),x, algorithm=""maxima"")","-\frac{{\left(b - \frac{5 \, {\left(b x^{4} + a\right)}}{x^{4}}\right)} x^{5}}{5 \, {\left(b x^{4} + a\right)}^{\frac{5}{4}} a^{2}}"," ",0,"-1/5*(b - 5*(b*x^4 + a)/x^4)*x^5/((b*x^4 + a)^(5/4)*a^2)","A",0
1172,0,0,0,0.000000," ","integrate(1/(b*x^4+a)^(11/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{4} + a\right)}^{\frac{11}{4}}}\,{d x}"," ",0,"integrate((b*x^4 + a)^(-11/4), x)","F",0
1173,1,50,0,1.396396," ","integrate(1/(b*x^4+a)^(13/4),x, algorithm=""maxima"")","\frac{{\left(5 \, b^{2} - \frac{18 \, {\left(b x^{4} + a\right)} b}{x^{4}} + \frac{45 \, {\left(b x^{4} + a\right)}^{2}}{x^{8}}\right)} x^{9}}{45 \, {\left(b x^{4} + a\right)}^{\frac{9}{4}} a^{3}}"," ",0,"1/45*(5*b^2 - 18*(b*x^4 + a)*b/x^4 + 45*(b*x^4 + a)^2/x^8)*x^9/((b*x^4 + a)^(9/4)*a^3)","A",0
1174,1,67,0,1.329023," ","integrate(1/(b*x^4+a)^(17/4),x, algorithm=""maxima"")","-\frac{{\left(15 \, b^{3} - \frac{65 \, {\left(b x^{4} + a\right)} b^{2}}{x^{4}} + \frac{117 \, {\left(b x^{4} + a\right)}^{2} b}{x^{8}} - \frac{195 \, {\left(b x^{4} + a\right)}^{3}}{x^{12}}\right)} x^{13}}{195 \, {\left(b x^{4} + a\right)}^{\frac{13}{4}} a^{4}}"," ",0,"-1/195*(15*b^3 - 65*(b*x^4 + a)*b^2/x^4 + 117*(b*x^4 + a)^2*b/x^8 - 195*(b*x^4 + a)^3/x^12)*x^13/((b*x^4 + a)^(13/4)*a^4)","A",0
1175,1,86,0,1.330424," ","integrate(x^19*(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{21}{4}}}{21 \, b^{5}} + \frac{4 \, {\left(-b x^{4} + a\right)}^{\frac{17}{4}} a}{17 \, b^{5}} - \frac{6 \, {\left(-b x^{4} + a\right)}^{\frac{13}{4}} a^{2}}{13 \, b^{5}} + \frac{4 \, {\left(-b x^{4} + a\right)}^{\frac{9}{4}} a^{3}}{9 \, b^{5}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{5}{4}} a^{4}}{5 \, b^{5}}"," ",0,"-1/21*(-b*x^4 + a)^(21/4)/b^5 + 4/17*(-b*x^4 + a)^(17/4)*a/b^5 - 6/13*(-b*x^4 + a)^(13/4)*a^2/b^5 + 4/9*(-b*x^4 + a)^(9/4)*a^3/b^5 - 1/5*(-b*x^4 + a)^(5/4)*a^4/b^5","A",0
1176,1,68,0,1.410518," ","integrate(x^15*(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(-b x^{4} + a\right)}^{\frac{17}{4}}}{17 \, b^{4}} - \frac{3 \, {\left(-b x^{4} + a\right)}^{\frac{13}{4}} a}{13 \, b^{4}} + \frac{{\left(-b x^{4} + a\right)}^{\frac{9}{4}} a^{2}}{3 \, b^{4}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{5}{4}} a^{3}}{5 \, b^{4}}"," ",0,"1/17*(-b*x^4 + a)^(17/4)/b^4 - 3/13*(-b*x^4 + a)^(13/4)*a/b^4 + 1/3*(-b*x^4 + a)^(9/4)*a^2/b^4 - 1/5*(-b*x^4 + a)^(5/4)*a^3/b^4","A",0
1177,1,50,0,1.348543," ","integrate(x^11*(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{13}{4}}}{13 \, b^{3}} + \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{9}{4}} a}{9 \, b^{3}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{5}{4}} a^{2}}{5 \, b^{3}}"," ",0,"-1/13*(-b*x^4 + a)^(13/4)/b^3 + 2/9*(-b*x^4 + a)^(9/4)*a/b^3 - 1/5*(-b*x^4 + a)^(5/4)*a^2/b^3","A",0
1178,1,32,0,1.295559," ","integrate(x^7*(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(-b x^{4} + a\right)}^{\frac{9}{4}}}{9 \, b^{2}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{5}{4}} a}{5 \, b^{2}}"," ",0,"1/9*(-b*x^4 + a)^(9/4)/b^2 - 1/5*(-b*x^4 + a)^(5/4)*a/b^2","A",0
1179,1,15,0,1.276669," ","integrate(x^3*(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{5}{4}}}{5 \, b}"," ",0,"-1/5*(-b*x^4 + a)^(5/4)/b","A",0
1180,1,70,0,3.139974," ","integrate((-b*x^4+a)^(1/4)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, a^{\frac{1}{4}} \arctan\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right) + \frac{1}{4} \, a^{\frac{1}{4}} \log\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right) + {\left(-b x^{4} + a\right)}^{\frac{1}{4}}"," ",0,"-1/2*a^(1/4)*arctan((-b*x^4 + a)^(1/4)/a^(1/4)) + 1/4*a^(1/4)*log(((-b*x^4 + a)^(1/4) - a^(1/4))/((-b*x^4 + a)^(1/4) + a^(1/4))) + (-b*x^4 + a)^(1/4)","A",0
1181,1,77,0,3.014148," ","integrate((-b*x^4+a)^(1/4)/x^5,x, algorithm=""maxima"")","\frac{b \arctan\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{8 \, a^{\frac{3}{4}}} - \frac{b \log\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{16 \, a^{\frac{3}{4}}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{4 \, x^{4}}"," ",0,"1/8*b*arctan((-b*x^4 + a)^(1/4)/a^(1/4))/a^(3/4) - 1/16*b*log(((-b*x^4 + a)^(1/4) - a^(1/4))/((-b*x^4 + a)^(1/4) + a^(1/4)))/a^(3/4) - 1/4*(-b*x^4 + a)^(1/4)/x^4","A",0
1182,1,138,0,2.965346," ","integrate((-b*x^4+a)^(1/4)/x^9,x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{5}{4}} b^{2} + 3 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}} a b^{2}}{32 \, {\left({\left(b x^{4} - a\right)}^{2} a + 2 \, {\left(b x^{4} - a\right)} a^{2} + a^{3}\right)}} + \frac{3 \, {\left(\frac{2 \, b^{2} \arctan\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}} - \frac{b^{2} \log\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}}\right)}}{128 \, a}"," ",0,"-1/32*((-b*x^4 + a)^(5/4)*b^2 + 3*(-b*x^4 + a)^(1/4)*a*b^2)/((b*x^4 - a)^2*a + 2*(b*x^4 - a)*a^2 + a^3) + 3/128*(2*b^2*arctan((-b*x^4 + a)^(1/4)/a^(1/4))/a^(3/4) - b^2*log(((-b*x^4 + a)^(1/4) - a^(1/4))/((-b*x^4 + a)^(1/4) + a^(1/4)))/a^(3/4))/a","A",0
1183,0,0,0,0.000000," ","integrate(x^9*(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(-b x^{4} + a\right)}^{\frac{1}{4}} x^{9}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4)*x^9, x)","F",0
1184,0,0,0,0.000000," ","integrate(x^5*(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(-b x^{4} + a\right)}^{\frac{1}{4}} x^{5}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4)*x^5, x)","F",0
1185,0,0,0,0.000000," ","integrate(x*(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(-b x^{4} + a\right)}^{\frac{1}{4}} x\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4)*x, x)","F",0
1186,0,0,0,0.000000," ","integrate((-b*x^4+a)^(1/4)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x^{3}}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4)/x^3, x)","F",0
1187,0,0,0,0.000000," ","integrate((-b*x^4+a)^(1/4)/x^7,x, algorithm=""maxima"")","\int \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x^{7}}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4)/x^7, x)","F",0
1188,0,0,0,0.000000," ","integrate((-b*x^4+a)^(1/4)/x^11,x, algorithm=""maxima"")","\int \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x^{11}}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4)/x^11, x)","F",0
1189,1,272,0,3.091916," ","integrate(x^6*(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{\frac{3 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}} a^{2} b}{x} - \frac{{\left(-b x^{4} + a\right)}^{\frac{5}{4}} a^{2}}{x^{5}}}{32 \, {\left(b^{3} - \frac{2 \, {\left(b x^{4} - a\right)} b^{2}}{x^{4}} + \frac{{\left(b x^{4} - a\right)}^{2} b}{x^{8}}\right)}} - \frac{3 \, {\left(\frac{2 \, \sqrt{2} a^{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{2 \, \sqrt{2} a^{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{\sqrt{2} a^{2} \log\left(\sqrt{b} + \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{b^{\frac{3}{4}}} - \frac{\sqrt{2} a^{2} \log\left(\sqrt{b} - \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{b^{\frac{3}{4}}}\right)}}{256 \, b}"," ",0,"1/32*(3*(-b*x^4 + a)^(1/4)*a^2*b/x - (-b*x^4 + a)^(5/4)*a^2/x^5)/(b^3 - 2*(b*x^4 - a)*b^2/x^4 + (b*x^4 - a)^2*b/x^8) - 3/256*(2*sqrt(2)*a^2*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(3/4) + 2*sqrt(2)*a^2*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(3/4) + sqrt(2)*a^2*log(sqrt(b) + sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(3/4) - sqrt(2)*a^2*log(sqrt(b) - sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(3/4))/b","A",0
1190,1,214,0,2.960674," ","integrate(x^2*(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{\sqrt{2} a \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{16 \, b^{\frac{3}{4}}} - \frac{\sqrt{2} a \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{16 \, b^{\frac{3}{4}}} - \frac{\sqrt{2} a \log\left(\sqrt{b} + \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{32 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} a \log\left(\sqrt{b} - \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{32 \, b^{\frac{3}{4}}} + \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} a}{4 \, {\left(b - \frac{b x^{4} - a}{x^{4}}\right)} x}"," ",0,"-1/16*sqrt(2)*a*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(3/4) - 1/16*sqrt(2)*a*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(3/4) - 1/32*sqrt(2)*a*log(sqrt(b) + sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(3/4) + 1/32*sqrt(2)*a*log(sqrt(b) - sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(3/4) + 1/4*(-b*x^4 + a)^(1/4)*a/((b - (b*x^4 - a)/x^4)*x)","A",0
1191,1,191,0,3.052400," ","integrate((-b*x^4+a)^(1/4)/x^2,x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} b^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right) + \frac{1}{4} \, \sqrt{2} b^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right) + \frac{1}{8} \, \sqrt{2} b^{\frac{1}{4}} \log\left(\sqrt{b} + \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right) - \frac{1}{8} \, \sqrt{2} b^{\frac{1}{4}} \log\left(\sqrt{b} - \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right) - \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}"," ",0,"1/4*sqrt(2)*b^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4)) + 1/4*sqrt(2)*b^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4)) + 1/8*sqrt(2)*b^(1/4)*log(sqrt(b) + sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2) - 1/8*sqrt(2)*b^(1/4)*log(sqrt(b) - sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2) - (-b*x^4 + a)^(1/4)/x","A",0
1192,1,18,0,1.417207," ","integrate((-b*x^4+a)^(1/4)/x^6,x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{5}{4}}}{5 \, a x^{5}}"," ",0,"-1/5*(-b*x^4 + a)^(5/4)/(a*x^5)","A",0
1193,1,37,0,1.342331," ","integrate((-b*x^4+a)^(1/4)/x^10,x, algorithm=""maxima"")","-\frac{\frac{9 \, {\left(-b x^{4} + a\right)}^{\frac{5}{4}} b}{x^{5}} + \frac{5 \, {\left(-b x^{4} + a\right)}^{\frac{9}{4}}}{x^{9}}}{45 \, a^{2}}"," ",0,"-1/45*(9*(-b*x^4 + a)^(5/4)*b/x^5 + 5*(-b*x^4 + a)^(9/4)/x^9)/a^2","A",0
1194,1,55,0,1.417211," ","integrate((-b*x^4+a)^(1/4)/x^14,x, algorithm=""maxima"")","-\frac{\frac{117 \, {\left(-b x^{4} + a\right)}^{\frac{5}{4}} b^{2}}{x^{5}} + \frac{130 \, {\left(-b x^{4} + a\right)}^{\frac{9}{4}} b}{x^{9}} + \frac{45 \, {\left(-b x^{4} + a\right)}^{\frac{13}{4}}}{x^{13}}}{585 \, a^{3}}"," ",0,"-1/585*(117*(-b*x^4 + a)^(5/4)*b^2/x^5 + 130*(-b*x^4 + a)^(9/4)*b/x^9 + 45*(-b*x^4 + a)^(13/4)/x^13)/a^3","A",0
1195,1,73,0,1.319997," ","integrate((-b*x^4+a)^(1/4)/x^18,x, algorithm=""maxima"")","-\frac{\frac{663 \, {\left(-b x^{4} + a\right)}^{\frac{5}{4}} b^{3}}{x^{5}} + \frac{1105 \, {\left(-b x^{4} + a\right)}^{\frac{9}{4}} b^{2}}{x^{9}} + \frac{765 \, {\left(-b x^{4} + a\right)}^{\frac{13}{4}} b}{x^{13}} + \frac{195 \, {\left(-b x^{4} + a\right)}^{\frac{17}{4}}}{x^{17}}}{3315 \, a^{4}}"," ",0,"-1/3315*(663*(-b*x^4 + a)^(5/4)*b^3/x^5 + 1105*(-b*x^4 + a)^(9/4)*b^2/x^9 + 765*(-b*x^4 + a)^(13/4)*b/x^13 + 195*(-b*x^4 + a)^(17/4)/x^17)/a^4","A",0
1196,0,0,0,0.000000," ","integrate(x^12*(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(-b x^{4} + a\right)}^{\frac{1}{4}} x^{12}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4)*x^12, x)","F",0
1197,0,0,0,0.000000," ","integrate(x^8*(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(-b x^{4} + a\right)}^{\frac{1}{4}} x^{8}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4)*x^8, x)","F",0
1198,0,0,0,0.000000," ","integrate(x^4*(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(-b x^{4} + a\right)}^{\frac{1}{4}} x^{4}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4)*x^4, x)","F",0
1199,0,0,0,0.000000," ","integrate((-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int {\left(-b x^{4} + a\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4), x)","F",0
1200,0,0,0,0.000000," ","integrate((-b*x^4+a)^(1/4)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x^{4}}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4)/x^4, x)","F",0
1201,0,0,0,0.000000," ","integrate((-b*x^4+a)^(1/4)/x^8,x, algorithm=""maxima"")","\int \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x^{8}}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4)/x^8, x)","F",0
1202,0,0,0,0.000000," ","integrate((-b*x^4+a)^(1/4)/x^12,x, algorithm=""maxima"")","\int \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x^{12}}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4)/x^12, x)","F",0
1203,0,0,0,0.000000," ","integrate((-b*x^4+a)^(1/4)/x^16,x, algorithm=""maxima"")","\int \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x^{16}}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(1/4)/x^16, x)","F",0
1204,1,86,0,1.378856," ","integrate(x^19/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{19}{4}}}{19 \, b^{5}} + \frac{4 \, {\left(-b x^{4} + a\right)}^{\frac{15}{4}} a}{15 \, b^{5}} - \frac{6 \, {\left(-b x^{4} + a\right)}^{\frac{11}{4}} a^{2}}{11 \, b^{5}} + \frac{4 \, {\left(-b x^{4} + a\right)}^{\frac{7}{4}} a^{3}}{7 \, b^{5}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{3}{4}} a^{4}}{3 \, b^{5}}"," ",0,"-1/19*(-b*x^4 + a)^(19/4)/b^5 + 4/15*(-b*x^4 + a)^(15/4)*a/b^5 - 6/11*(-b*x^4 + a)^(11/4)*a^2/b^5 + 4/7*(-b*x^4 + a)^(7/4)*a^3/b^5 - 1/3*(-b*x^4 + a)^(3/4)*a^4/b^5","A",0
1205,1,68,0,1.334575," ","integrate(x^15/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(-b x^{4} + a\right)}^{\frac{15}{4}}}{15 \, b^{4}} - \frac{3 \, {\left(-b x^{4} + a\right)}^{\frac{11}{4}} a}{11 \, b^{4}} + \frac{3 \, {\left(-b x^{4} + a\right)}^{\frac{7}{4}} a^{2}}{7 \, b^{4}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{3}{4}} a^{3}}{3 \, b^{4}}"," ",0,"1/15*(-b*x^4 + a)^(15/4)/b^4 - 3/11*(-b*x^4 + a)^(11/4)*a/b^4 + 3/7*(-b*x^4 + a)^(7/4)*a^2/b^4 - 1/3*(-b*x^4 + a)^(3/4)*a^3/b^4","A",0
1206,1,50,0,1.364400," ","integrate(x^11/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{11}{4}}}{11 \, b^{3}} + \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{7}{4}} a}{7 \, b^{3}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{3}{4}} a^{2}}{3 \, b^{3}}"," ",0,"-1/11*(-b*x^4 + a)^(11/4)/b^3 + 2/7*(-b*x^4 + a)^(7/4)*a/b^3 - 1/3*(-b*x^4 + a)^(3/4)*a^2/b^3","A",0
1207,1,32,0,1.294505," ","integrate(x^7/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{{\left(-b x^{4} + a\right)}^{\frac{7}{4}}}{7 \, b^{2}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{3}{4}} a}{3 \, b^{2}}"," ",0,"1/7*(-b*x^4 + a)^(7/4)/b^2 - 1/3*(-b*x^4 + a)^(3/4)*a/b^2","A",0
1208,1,15,0,1.244724," ","integrate(x^3/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{3}{4}}}{3 \, b}"," ",0,"-1/3*(-b*x^4 + a)^(3/4)/b","A",0
1209,1,60,0,2.848644," ","integrate(1/x/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{2 \, a^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{4 \, a^{\frac{1}{4}}}"," ",0,"1/2*arctan((-b*x^4 + a)^(1/4)/a^(1/4))/a^(1/4) + 1/4*log(((-b*x^4 + a)^(1/4) - a^(1/4))/((-b*x^4 + a)^(1/4) + a^(1/4)))/a^(1/4)","A",0
1210,1,96,0,2.973690," ","integrate(1/x^5/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{b {\left(\frac{2 \, \arctan\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}}\right)}}{16 \, a} - \frac{{\left(-b x^{4} + a\right)}^{\frac{3}{4}} b}{4 \, {\left({\left(b x^{4} - a\right)} a + a^{2}\right)}}"," ",0,"1/16*b*(2*arctan((-b*x^4 + a)^(1/4)/a^(1/4))/a^(1/4) + log(((-b*x^4 + a)^(1/4) - a^(1/4))/((-b*x^4 + a)^(1/4) + a^(1/4)))/a^(1/4))/a - 1/4*(-b*x^4 + a)^(3/4)*b/((b*x^4 - a)*a + a^2)","A",0
1211,1,137,0,2.412808," ","integrate(1/x^9/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\frac{5 \, b^{2} {\left(\frac{2 \, \arctan\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}} + \frac{\log\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{1}{4}}}\right)}}{128 \, a^{2}} + \frac{5 \, {\left(-b x^{4} + a\right)}^{\frac{7}{4}} b^{2} - 9 \, {\left(-b x^{4} + a\right)}^{\frac{3}{4}} a b^{2}}{32 \, {\left({\left(b x^{4} - a\right)}^{2} a^{2} + 2 \, {\left(b x^{4} - a\right)} a^{3} + a^{4}\right)}}"," ",0,"5/128*b^2*(2*arctan((-b*x^4 + a)^(1/4)/a^(1/4))/a^(1/4) + log(((-b*x^4 + a)^(1/4) - a^(1/4))/((-b*x^4 + a)^(1/4) + a^(1/4)))/a^(1/4))/a^2 + 1/32*(5*(-b*x^4 + a)^(7/4)*b^2 - 9*(-b*x^4 + a)^(3/4)*a*b^2)/((b*x^4 - a)^2*a^2 + 2*(b*x^4 - a)*a^3 + a^4)","A",0
1212,0,0,0,0.000000," ","integrate(x^13/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{13}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^13/(-b*x^4 + a)^(1/4), x)","F",0
1213,0,0,0,0.000000," ","integrate(x^9/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{9}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^9/(-b*x^4 + a)^(1/4), x)","F",0
1214,0,0,0,0.000000," ","integrate(x^5/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{5}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^5/(-b*x^4 + a)^(1/4), x)","F",0
1215,0,0,0,0.000000," ","integrate(x/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x/(-b*x^4 + a)^(1/4), x)","F",0
1216,0,0,0,0.000000," ","integrate(1/x^3/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} x^{3}}\,{d x}"," ",0,"integrate(1/((-b*x^4 + a)^(1/4)*x^3), x)","F",0
1217,0,0,0,0.000000," ","integrate(1/x^7/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} x^{7}}\,{d x}"," ",0,"integrate(1/((-b*x^4 + a)^(1/4)*x^7), x)","F",0
1218,0,0,0,0.000000," ","integrate(1/x^11/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} x^{11}}\,{d x}"," ",0,"integrate(1/((-b*x^4 + a)^(1/4)*x^11), x)","F",0
1219,1,265,0,2.461932," ","integrate(x^8/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{5 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{b} + \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{b} - \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{b^{\frac{1}{4}}}\right)} a^{2}}{256 \, b^{2}} - \frac{\frac{9 \, {\left(-b x^{4} + a\right)}^{\frac{3}{4}} a^{2} b}{x^{3}} + \frac{5 \, {\left(-b x^{4} + a\right)}^{\frac{7}{4}} a^{2}}{x^{7}}}{32 \, {\left(b^{4} - \frac{2 \, {\left(b x^{4} - a\right)} b^{3}}{x^{4}} + \frac{{\left(b x^{4} - a\right)}^{2} b^{2}}{x^{8}}\right)}}"," ",0,"-5/256*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(b) + sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(1/4) + sqrt(2)*log(sqrt(b) - sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(1/4))*a^2/b^2 - 1/32*(9*(-b*x^4 + a)^(3/4)*a^2*b/x^3 + 5*(-b*x^4 + a)^(7/4)*a^2/x^7)/(b^4 - 2*(b*x^4 - a)*b^3/x^4 + (b*x^4 - a)^2*b^2/x^8)","A",0
1220,1,219,0,2.417587," ","integrate(x^4/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{{\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{b} + \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{b} - \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{b^{\frac{1}{4}}}\right)} a}{32 \, b} - \frac{{\left(-b x^{4} + a\right)}^{\frac{3}{4}} a}{4 \, {\left(b^{2} - \frac{{\left(b x^{4} - a\right)} b}{x^{4}}\right)} x^{3}}"," ",0,"-1/32*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(1/4) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(1/4) - sqrt(2)*log(sqrt(b) + sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(1/4) + sqrt(2)*log(sqrt(b) - sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(1/4))*a/b - 1/4*(-b*x^4 + a)^(3/4)*a/((b^2 - (b*x^4 - a)*b/x^4)*x^3)","A",0
1221,1,176,0,2.323123," ","integrate(1/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{4 \, b^{\frac{1}{4}}} - \frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{4 \, b^{\frac{1}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{b} + \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{8 \, b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{b} - \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{8 \, b^{\frac{1}{4}}}"," ",0,"-1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(1/4) - 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(1/4) + 1/8*sqrt(2)*log(sqrt(b) + sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(1/4) - 1/8*sqrt(2)*log(sqrt(b) - sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(1/4)","A",0
1222,1,18,0,0.988122," ","integrate(1/x^4/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{3}{4}}}{3 \, a x^{3}}"," ",0,"-1/3*(-b*x^4 + a)^(3/4)/(a*x^3)","A",0
1223,1,37,0,0.992210," ","integrate(1/x^8/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{\frac{7 \, {\left(-b x^{4} + a\right)}^{\frac{3}{4}} b}{x^{3}} + \frac{3 \, {\left(-b x^{4} + a\right)}^{\frac{7}{4}}}{x^{7}}}{21 \, a^{2}}"," ",0,"-1/21*(7*(-b*x^4 + a)^(3/4)*b/x^3 + 3*(-b*x^4 + a)^(7/4)/x^7)/a^2","A",0
1224,1,55,0,1.067072," ","integrate(1/x^12/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{\frac{77 \, {\left(-b x^{4} + a\right)}^{\frac{3}{4}} b^{2}}{x^{3}} + \frac{66 \, {\left(-b x^{4} + a\right)}^{\frac{7}{4}} b}{x^{7}} + \frac{21 \, {\left(-b x^{4} + a\right)}^{\frac{11}{4}}}{x^{11}}}{231 \, a^{3}}"," ",0,"-1/231*(77*(-b*x^4 + a)^(3/4)*b^2/x^3 + 66*(-b*x^4 + a)^(7/4)*b/x^7 + 21*(-b*x^4 + a)^(11/4)/x^11)/a^3","A",0
1225,1,73,0,0.971694," ","integrate(1/x^16/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{\frac{385 \, {\left(-b x^{4} + a\right)}^{\frac{3}{4}} b^{3}}{x^{3}} + \frac{495 \, {\left(-b x^{4} + a\right)}^{\frac{7}{4}} b^{2}}{x^{7}} + \frac{315 \, {\left(-b x^{4} + a\right)}^{\frac{11}{4}} b}{x^{11}} + \frac{77 \, {\left(-b x^{4} + a\right)}^{\frac{15}{4}}}{x^{15}}}{1155 \, a^{4}}"," ",0,"-1/1155*(385*(-b*x^4 + a)^(3/4)*b^3/x^3 + 495*(-b*x^4 + a)^(7/4)*b^2/x^7 + 315*(-b*x^4 + a)^(11/4)*b/x^11 + 77*(-b*x^4 + a)^(15/4)/x^15)/a^4","A",0
1226,1,91,0,1.065483," ","integrate(1/x^20/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","-\frac{\frac{7315 \, {\left(-b x^{4} + a\right)}^{\frac{3}{4}} b^{4}}{x^{3}} + \frac{12540 \, {\left(-b x^{4} + a\right)}^{\frac{7}{4}} b^{3}}{x^{7}} + \frac{11970 \, {\left(-b x^{4} + a\right)}^{\frac{11}{4}} b^{2}}{x^{11}} + \frac{5852 \, {\left(-b x^{4} + a\right)}^{\frac{15}{4}} b}{x^{15}} + \frac{1155 \, {\left(-b x^{4} + a\right)}^{\frac{19}{4}}}{x^{19}}}{21945 \, a^{5}}"," ",0,"-1/21945*(7315*(-b*x^4 + a)^(3/4)*b^4/x^3 + 12540*(-b*x^4 + a)^(7/4)*b^3/x^7 + 11970*(-b*x^4 + a)^(11/4)*b^2/x^11 + 5852*(-b*x^4 + a)^(15/4)*b/x^15 + 1155*(-b*x^4 + a)^(19/4)/x^19)/a^5","A",0
1227,0,0,0,0.000000," ","integrate(x^10/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{10}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^10/(-b*x^4 + a)^(1/4), x)","F",0
1228,0,0,0,0.000000," ","integrate(x^6/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^6/(-b*x^4 + a)^(1/4), x)","F",0
1229,0,0,0,0.000000," ","integrate(x^2/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate(x^2/(-b*x^4 + a)^(1/4), x)","F",0
1230,0,0,0,0.000000," ","integrate(1/x^2/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} x^{2}}\,{d x}"," ",0,"integrate(1/((-b*x^4 + a)^(1/4)*x^2), x)","F",0
1231,0,0,0,0.000000," ","integrate(1/x^6/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} x^{6}}\,{d x}"," ",0,"integrate(1/((-b*x^4 + a)^(1/4)*x^6), x)","F",0
1232,0,0,0,0.000000," ","integrate(1/x^10/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} x^{10}}\,{d x}"," ",0,"integrate(1/((-b*x^4 + a)^(1/4)*x^10), x)","F",0
1233,0,0,0,0.000000," ","integrate(1/x^14/(-b*x^4+a)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} x^{14}}\,{d x}"," ",0,"integrate(1/((-b*x^4 + a)^(1/4)*x^14), x)","F",0
1234,1,86,0,0.971785," ","integrate(x^19/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{17}{4}}}{17 \, b^{5}} + \frac{4 \, {\left(-b x^{4} + a\right)}^{\frac{13}{4}} a}{13 \, b^{5}} - \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{9}{4}} a^{2}}{3 \, b^{5}} + \frac{4 \, {\left(-b x^{4} + a\right)}^{\frac{5}{4}} a^{3}}{5 \, b^{5}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} a^{4}}{b^{5}}"," ",0,"-1/17*(-b*x^4 + a)^(17/4)/b^5 + 4/13*(-b*x^4 + a)^(13/4)*a/b^5 - 2/3*(-b*x^4 + a)^(9/4)*a^2/b^5 + 4/5*(-b*x^4 + a)^(5/4)*a^3/b^5 - (-b*x^4 + a)^(1/4)*a^4/b^5","A",0
1235,1,68,0,1.075663," ","integrate(x^15/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{{\left(-b x^{4} + a\right)}^{\frac{13}{4}}}{13 \, b^{4}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{9}{4}} a}{3 \, b^{4}} + \frac{3 \, {\left(-b x^{4} + a\right)}^{\frac{5}{4}} a^{2}}{5 \, b^{4}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} a^{3}}{b^{4}}"," ",0,"1/13*(-b*x^4 + a)^(13/4)/b^4 - 1/3*(-b*x^4 + a)^(9/4)*a/b^4 + 3/5*(-b*x^4 + a)^(5/4)*a^2/b^4 - (-b*x^4 + a)^(1/4)*a^3/b^4","A",0
1236,1,50,0,1.058718," ","integrate(x^11/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{9}{4}}}{9 \, b^{3}} + \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{5}{4}} a}{5 \, b^{3}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} a^{2}}{b^{3}}"," ",0,"-1/9*(-b*x^4 + a)^(9/4)/b^3 + 2/5*(-b*x^4 + a)^(5/4)*a/b^3 - (-b*x^4 + a)^(1/4)*a^2/b^3","A",0
1237,1,32,0,1.033731," ","integrate(x^7/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{{\left(-b x^{4} + a\right)}^{\frac{5}{4}}}{5 \, b^{2}} - \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} a}{b^{2}}"," ",0,"1/5*(-b*x^4 + a)^(5/4)/b^2 - (-b*x^4 + a)^(1/4)*a/b^2","A",0
1238,1,15,0,0.982680," ","integrate(x^3/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{b}"," ",0,"-(-b*x^4 + a)^(1/4)/b","A",0
1239,1,60,0,2.283642," ","integrate(1/x/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{2 \, a^{\frac{3}{4}}} + \frac{\log\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{4 \, a^{\frac{3}{4}}}"," ",0,"-1/2*arctan((-b*x^4 + a)^(1/4)/a^(1/4))/a^(3/4) + 1/4*log(((-b*x^4 + a)^(1/4) - a^(1/4))/((-b*x^4 + a)^(1/4) + a^(1/4)))/a^(3/4)","A",0
1240,1,98,0,2.417210," ","integrate(1/x^5/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} b}{4 \, {\left({\left(b x^{4} - a\right)} a + a^{2}\right)}} - \frac{3 \, {\left(\frac{2 \, b \arctan\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}} - \frac{b \log\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}}\right)}}{16 \, a}"," ",0,"-1/4*(-b*x^4 + a)^(1/4)*b/((b*x^4 - a)*a + a^2) - 3/16*(2*b*arctan((-b*x^4 + a)^(1/4)/a^(1/4))/a^(3/4) - b*log(((-b*x^4 + a)^(1/4) - a^(1/4))/((-b*x^4 + a)^(1/4) + a^(1/4)))/a^(3/4))/a","A",0
1241,1,141,0,2.384394," ","integrate(1/x^9/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\frac{7 \, {\left(-b x^{4} + a\right)}^{\frac{5}{4}} b^{2} - 11 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}} a b^{2}}{32 \, {\left({\left(b x^{4} - a\right)}^{2} a^{2} + 2 \, {\left(b x^{4} - a\right)} a^{3} + a^{4}\right)}} - \frac{21 \, {\left(\frac{2 \, b^{2} \arctan\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}} - \frac{b^{2} \log\left(\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} - a^{\frac{1}{4}}}{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} + a^{\frac{1}{4}}}\right)}{a^{\frac{3}{4}}}\right)}}{128 \, a^{2}}"," ",0,"1/32*(7*(-b*x^4 + a)^(5/4)*b^2 - 11*(-b*x^4 + a)^(1/4)*a*b^2)/((b*x^4 - a)^2*a^2 + 2*(b*x^4 - a)*a^3 + a^4) - 21/128*(2*b^2*arctan((-b*x^4 + a)^(1/4)/a^(1/4))/a^(3/4) - b^2*log(((-b*x^4 + a)^(1/4) - a^(1/4))/((-b*x^4 + a)^(1/4) + a^(1/4)))/a^(3/4))/a^2","A",0
1242,0,0,0,0.000000," ","integrate(x^13/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{13}}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^13/(-b*x^4 + a)^(3/4), x)","F",0
1243,0,0,0,0.000000," ","integrate(x^9/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{9}}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^9/(-b*x^4 + a)^(3/4), x)","F",0
1244,0,0,0,0.000000," ","integrate(x^5/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{5}}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^5/(-b*x^4 + a)^(3/4), x)","F",0
1245,0,0,0,0.000000," ","integrate(x/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x/(-b*x^4 + a)^(3/4), x)","F",0
1246,0,0,0,0.000000," ","integrate(1/x^3/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}} x^{3}}\,{d x}"," ",0,"integrate(1/((-b*x^4 + a)^(3/4)*x^3), x)","F",0
1247,0,0,0,0.000000," ","integrate(1/x^7/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}} x^{7}}\,{d x}"," ",0,"integrate(1/((-b*x^4 + a)^(3/4)*x^7), x)","F",0
1248,0,0,0,0.000000," ","integrate(1/x^11/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}} x^{11}}\,{d x}"," ",0,"integrate(1/((-b*x^4 + a)^(3/4)*x^11), x)","F",0
1249,1,274,0,2.301905," ","integrate(x^10/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{\frac{11 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}} a^{2} b}{x} + \frac{7 \, {\left(-b x^{4} + a\right)}^{\frac{5}{4}} a^{2}}{x^{5}}}{32 \, {\left(b^{4} - \frac{2 \, {\left(b x^{4} - a\right)} b^{3}}{x^{4}} + \frac{{\left(b x^{4} - a\right)}^{2} b^{2}}{x^{8}}\right)}} - \frac{21 \, {\left(\frac{2 \, \sqrt{2} a^{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{2 \, \sqrt{2} a^{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{\sqrt{2} a^{2} \log\left(\sqrt{b} + \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{b^{\frac{3}{4}}} - \frac{\sqrt{2} a^{2} \log\left(\sqrt{b} - \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{b^{\frac{3}{4}}}\right)}}{256 \, b^{2}}"," ",0,"-1/32*(11*(-b*x^4 + a)^(1/4)*a^2*b/x + 7*(-b*x^4 + a)^(5/4)*a^2/x^5)/(b^4 - 2*(b*x^4 - a)*b^3/x^4 + (b*x^4 - a)^2*b^2/x^8) - 21/256*(2*sqrt(2)*a^2*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(3/4) + 2*sqrt(2)*a^2*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(3/4) + sqrt(2)*a^2*log(sqrt(b) + sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(3/4) - sqrt(2)*a^2*log(sqrt(b) - sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(3/4))/b^2","A",0
1250,1,222,0,2.475610," ","integrate(x^6/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{3 \, {\left(\frac{2 \, \sqrt{2} a \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{2 \, \sqrt{2} a \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{b^{\frac{3}{4}}} + \frac{\sqrt{2} a \log\left(\sqrt{b} + \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{b^{\frac{3}{4}}} - \frac{\sqrt{2} a \log\left(\sqrt{b} - \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{b^{\frac{3}{4}}}\right)}}{32 \, b} - \frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}} a}{4 \, {\left(b^{2} - \frac{{\left(b x^{4} - a\right)} b}{x^{4}}\right)} x}"," ",0,"-3/32*(2*sqrt(2)*a*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(3/4) + 2*sqrt(2)*a*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(3/4) + sqrt(2)*a*log(sqrt(b) + sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(3/4) - sqrt(2)*a*log(sqrt(b) - sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(3/4))/b - 1/4*(-b*x^4 + a)^(1/4)*a/((b^2 - (b*x^4 - a)*b/x^4)*x)","A",0
1251,1,176,0,2.408459," ","integrate(x^2/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} + \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{4 \, b^{\frac{3}{4}}} - \frac{\sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} - \frac{2 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{x}\right)}}{2 \, b^{\frac{1}{4}}}\right)}{4 \, b^{\frac{3}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{b} + \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{8 \, b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{b} - \frac{\sqrt{2} {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{\frac{1}{4}}}{x} + \frac{\sqrt{-b x^{4} + a}}{x^{2}}\right)}{8 \, b^{\frac{3}{4}}}"," ",0,"-1/4*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4) + 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(3/4) - 1/4*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4) - 2*(-b*x^4 + a)^(1/4)/x)/b^(1/4))/b^(3/4) - 1/8*sqrt(2)*log(sqrt(b) + sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(3/4) + 1/8*sqrt(2)*log(sqrt(b) - sqrt(2)*(-b*x^4 + a)^(1/4)*b^(1/4)/x + sqrt(-b*x^4 + a)/x^2)/b^(3/4)","A",0
1252,1,18,0,1.177251," ","integrate(1/x^2/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{{\left(-b x^{4} + a\right)}^{\frac{1}{4}}}{a x}"," ",0,"-(-b*x^4 + a)^(1/4)/(a*x)","A",0
1253,1,36,0,1.150023," ","integrate(1/x^6/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{\frac{5 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b}{x} + \frac{{\left(-b x^{4} + a\right)}^{\frac{5}{4}}}{x^{5}}}{5 \, a^{2}}"," ",0,"-1/5*(5*(-b*x^4 + a)^(1/4)*b/x + (-b*x^4 + a)^(5/4)/x^5)/a^2","A",0
1254,1,55,0,1.109072," ","integrate(1/x^10/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{\frac{45 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{2}}{x} + \frac{18 \, {\left(-b x^{4} + a\right)}^{\frac{5}{4}} b}{x^{5}} + \frac{5 \, {\left(-b x^{4} + a\right)}^{\frac{9}{4}}}{x^{9}}}{45 \, a^{3}}"," ",0,"-1/45*(45*(-b*x^4 + a)^(1/4)*b^2/x + 18*(-b*x^4 + a)^(5/4)*b/x^5 + 5*(-b*x^4 + a)^(9/4)/x^9)/a^3","A",0
1255,1,73,0,1.049379," ","integrate(1/x^14/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","-\frac{\frac{195 \, {\left(-b x^{4} + a\right)}^{\frac{1}{4}} b^{3}}{x} + \frac{117 \, {\left(-b x^{4} + a\right)}^{\frac{5}{4}} b^{2}}{x^{5}} + \frac{65 \, {\left(-b x^{4} + a\right)}^{\frac{9}{4}} b}{x^{9}} + \frac{15 \, {\left(-b x^{4} + a\right)}^{\frac{13}{4}}}{x^{13}}}{195 \, a^{4}}"," ",0,"-1/195*(195*(-b*x^4 + a)^(1/4)*b^3/x + 117*(-b*x^4 + a)^(5/4)*b^2/x^5 + 65*(-b*x^4 + a)^(9/4)*b/x^9 + 15*(-b*x^4 + a)^(13/4)/x^13)/a^4","A",0
1256,0,0,0,0.000000," ","integrate(x^12/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{12}}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^12/(-b*x^4 + a)^(3/4), x)","F",0
1257,0,0,0,0.000000," ","integrate(x^8/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{8}}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^8/(-b*x^4 + a)^(3/4), x)","F",0
1258,0,0,0,0.000000," ","integrate(x^4/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate(x^4/(-b*x^4 + a)^(3/4), x)","F",0
1259,0,0,0,0.000000," ","integrate(1/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((-b*x^4 + a)^(-3/4), x)","F",0
1260,0,0,0,0.000000," ","integrate(1/x^4/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}} x^{4}}\,{d x}"," ",0,"integrate(1/((-b*x^4 + a)^(3/4)*x^4), x)","F",0
1261,0,0,0,0.000000," ","integrate(1/x^8/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}} x^{8}}\,{d x}"," ",0,"integrate(1/((-b*x^4 + a)^(3/4)*x^8), x)","F",0
1262,0,0,0,0.000000," ","integrate(1/x^12/(-b*x^4+a)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(-b x^{4} + a\right)}^{\frac{3}{4}} x^{12}}\,{d x}"," ",0,"integrate(1/((-b*x^4 + a)^(3/4)*x^12), x)","F",0
1263,0,0,0,0.000000," ","integrate(x^2/(-b*x^4+a)^(5/4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(-b x^{4} + a\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate(x^2/(-b*x^4 + a)^(5/4), x)","F",0
1264,1,47,0,1.037820," ","integrate(x^7*(b*x^4+a)^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(p + 1\right)} x^{8} + a b p x^{4} - a^{2}\right)} {\left(b x^{4} + a\right)}^{p}}{4 \, {\left(p^{2} + 3 \, p + 2\right)} b^{2}}"," ",0,"1/4*(b^2*(p + 1)*x^8 + a*b*p*x^4 - a^2)*(b*x^4 + a)^p/((p^2 + 3*p + 2)*b^2)","A",0
1265,1,21,0,1.154093," ","integrate(x^3*(b*x^4+a)^p,x, algorithm=""maxima"")","\frac{{\left(b x^{4} + a\right)}^{p + 1}}{4 \, b {\left(p + 1\right)}}"," ",0,"1/4*(b*x^4 + a)^(p + 1)/(b*(p + 1))","A",0
1266,0,0,0,0.000000," ","integrate((b*x^4+a)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(b x^{4} + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*x^4 + a)^p/x, x)","F",0
1267,1,57,0,1.018778," ","integrate(x^24/(b*x^5+a),x, algorithm=""maxima"")","\frac{a^{4} \log\left(b x^{5} + a\right)}{5 \, b^{5}} + \frac{3 \, b^{3} x^{20} - 4 \, a b^{2} x^{15} + 6 \, a^{2} b x^{10} - 12 \, a^{3} x^{5}}{60 \, b^{4}}"," ",0,"1/5*a^4*log(b*x^5 + a)/b^5 + 1/60*(3*b^3*x^20 - 4*a*b^2*x^15 + 6*a^2*b*x^10 - 12*a^3*x^5)/b^4","A",0
1268,1,46,0,1.010052," ","integrate(x^19/(b*x^5+a),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(b x^{5} + a\right)}{5 \, b^{4}} + \frac{2 \, b^{2} x^{15} - 3 \, a b x^{10} + 6 \, a^{2} x^{5}}{30 \, b^{3}}"," ",0,"-1/5*a^3*log(b*x^5 + a)/b^4 + 1/30*(2*b^2*x^15 - 3*a*b*x^10 + 6*a^2*x^5)/b^3","A",0
1269,1,34,0,1.060083," ","integrate(x^14/(b*x^5+a),x, algorithm=""maxima"")","\frac{a^{2} \log\left(b x^{5} + a\right)}{5 \, b^{3}} + \frac{b x^{10} - 2 \, a x^{5}}{10 \, b^{2}}"," ",0,"1/5*a^2*log(b*x^5 + a)/b^3 + 1/10*(b*x^10 - 2*a*x^5)/b^2","A",0
1270,1,23,0,1.076164," ","integrate(x^9/(b*x^5+a),x, algorithm=""maxima"")","\frac{x^{5}}{5 \, b} - \frac{a \log\left(b x^{5} + a\right)}{5 \, b^{2}}"," ",0,"1/5*x^5/b - 1/5*a*log(b*x^5 + a)/b^2","A",0
1271,1,13,0,1.113967," ","integrate(x^4/(b*x^5+a),x, algorithm=""maxima"")","\frac{\log\left(b x^{5} + a\right)}{5 \, b}"," ",0,"1/5*log(b*x^5 + a)/b","A",0
1272,1,23,0,0.969730," ","integrate(1/x/(b*x^5+a),x, algorithm=""maxima"")","-\frac{\log\left(b x^{5} + a\right)}{5 \, a} + \frac{\log\left(x^{5}\right)}{5 \, a}"," ",0,"-1/5*log(b*x^5 + a)/a + 1/5*log(x^5)/a","A",0
1273,1,33,0,0.967367," ","integrate(1/x^6/(b*x^5+a),x, algorithm=""maxima"")","\frac{b \log\left(b x^{5} + a\right)}{5 \, a^{2}} - \frac{b \log\left(x^{5}\right)}{5 \, a^{2}} - \frac{1}{5 \, a x^{5}}"," ",0,"1/5*b*log(b*x^5 + a)/a^2 - 1/5*b*log(x^5)/a^2 - 1/5/(a*x^5)","A",0
1274,1,47,0,1.146868," ","integrate(1/x^11/(b*x^5+a),x, algorithm=""maxima"")","-\frac{b^{2} \log\left(b x^{5} + a\right)}{5 \, a^{3}} + \frac{b^{2} \log\left(x^{5}\right)}{5 \, a^{3}} + \frac{2 \, b x^{5} - a}{10 \, a^{2} x^{10}}"," ",0,"-1/5*b^2*log(b*x^5 + a)/a^3 + 1/5*b^2*log(x^5)/a^3 + 1/10*(2*b*x^5 - a)/(a^2*x^10)","A",0
1275,1,58,0,1.090434," ","integrate(1/x^16/(b*x^5+a),x, algorithm=""maxima"")","\frac{b^{3} \log\left(b x^{5} + a\right)}{5 \, a^{4}} - \frac{b^{3} \log\left(x^{5}\right)}{5 \, a^{4}} - \frac{6 \, b^{2} x^{10} - 3 \, a b x^{5} + 2 \, a^{2}}{30 \, a^{3} x^{15}}"," ",0,"1/5*b^3*log(b*x^5 + a)/a^4 - 1/5*b^3*log(x^5)/a^4 - 1/30*(6*b^2*x^10 - 3*a*b*x^5 + 2*a^2)/(a^3*x^15)","A",0
1276,1,239,0,2.490004," ","integrate(1/(b*x^5+a),x, algorithm=""maxima"")","\frac{\sqrt{5} {\left(\sqrt{5} + 1\right)} \arctan\left(\frac{4 \, b^{\frac{2}{5}} x + a^{\frac{1}{5}} b^{\frac{1}{5}} {\left(\sqrt{5} - 1\right)}}{a^{\frac{1}{5}} b^{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 10}}\right)}{5 \, a^{\frac{4}{5}} b^{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 10}} + \frac{\sqrt{5} {\left(\sqrt{5} - 1\right)} \arctan\left(\frac{4 \, b^{\frac{2}{5}} x - a^{\frac{1}{5}} b^{\frac{1}{5}} {\left(\sqrt{5} + 1\right)}}{a^{\frac{1}{5}} b^{\frac{1}{5}} \sqrt{-2 \, \sqrt{5} + 10}}\right)}{5 \, a^{\frac{4}{5}} b^{\frac{1}{5}} \sqrt{-2 \, \sqrt{5} + 10}} - \frac{{\left(\sqrt{5} + 3\right)} \log\left(2 \, b^{\frac{2}{5}} x^{2} - a^{\frac{1}{5}} b^{\frac{1}{5}} x {\left(\sqrt{5} + 1\right)} + 2 \, a^{\frac{2}{5}}\right)}{10 \, a^{\frac{4}{5}} b^{\frac{1}{5}} {\left(\sqrt{5} + 1\right)}} - \frac{{\left(\sqrt{5} - 3\right)} \log\left(2 \, b^{\frac{2}{5}} x^{2} + a^{\frac{1}{5}} b^{\frac{1}{5}} x {\left(\sqrt{5} - 1\right)} + 2 \, a^{\frac{2}{5}}\right)}{10 \, a^{\frac{4}{5}} b^{\frac{1}{5}} {\left(\sqrt{5} - 1\right)}} + \frac{\log\left(b^{\frac{1}{5}} x + a^{\frac{1}{5}}\right)}{5 \, a^{\frac{4}{5}} b^{\frac{1}{5}}}"," ",0,"1/5*sqrt(5)*(sqrt(5) + 1)*arctan((4*b^(2/5)*x + a^(1/5)*b^(1/5)*(sqrt(5) - 1))/(a^(1/5)*b^(1/5)*sqrt(2*sqrt(5) + 10)))/(a^(4/5)*b^(1/5)*sqrt(2*sqrt(5) + 10)) + 1/5*sqrt(5)*(sqrt(5) - 1)*arctan((4*b^(2/5)*x - a^(1/5)*b^(1/5)*(sqrt(5) + 1))/(a^(1/5)*b^(1/5)*sqrt(-2*sqrt(5) + 10)))/(a^(4/5)*b^(1/5)*sqrt(-2*sqrt(5) + 10)) - 1/10*(sqrt(5) + 3)*log(2*b^(2/5)*x^2 - a^(1/5)*b^(1/5)*x*(sqrt(5) + 1) + 2*a^(2/5))/(a^(4/5)*b^(1/5)*(sqrt(5) + 1)) - 1/10*(sqrt(5) - 3)*log(2*b^(2/5)*x^2 + a^(1/5)*b^(1/5)*x*(sqrt(5) - 1) + 2*a^(2/5))/(a^(4/5)*b^(1/5)*(sqrt(5) - 1)) + 1/5*log(b^(1/5)*x + a^(1/5))/(a^(4/5)*b^(1/5))","A",0
1277,1,65,0,1.021233," ","integrate(x^24/(b*x^5+a)^2,x, algorithm=""maxima"")","-\frac{a^{4}}{5 \, {\left(b^{6} x^{5} + a b^{5}\right)}} - \frac{4 \, a^{3} \log\left(b x^{5} + a\right)}{5 \, b^{5}} + \frac{b^{2} x^{15} - 3 \, a b x^{10} + 9 \, a^{2} x^{5}}{15 \, b^{4}}"," ",0,"-1/5*a^4/(b^6*x^5 + a*b^5) - 4/5*a^3*log(b*x^5 + a)/b^5 + 1/15*(b^2*x^15 - 3*a*b*x^10 + 9*a^2*x^5)/b^4","A",0
1278,1,54,0,1.145823," ","integrate(x^19/(b*x^5+a)^2,x, algorithm=""maxima"")","\frac{a^{3}}{5 \, {\left(b^{5} x^{5} + a b^{4}\right)}} + \frac{3 \, a^{2} \log\left(b x^{5} + a\right)}{5 \, b^{4}} + \frac{b x^{10} - 4 \, a x^{5}}{10 \, b^{3}}"," ",0,"1/5*a^3/(b^5*x^5 + a*b^4) + 3/5*a^2*log(b*x^5 + a)/b^4 + 1/10*(b*x^10 - 4*a*x^5)/b^3","A",0
1279,1,43,0,1.071023," ","integrate(x^14/(b*x^5+a)^2,x, algorithm=""maxima"")","\frac{x^{5}}{5 \, b^{2}} - \frac{a^{2}}{5 \, {\left(b^{4} x^{5} + a b^{3}\right)}} - \frac{2 \, a \log\left(b x^{5} + a\right)}{5 \, b^{3}}"," ",0,"1/5*x^5/b^2 - 1/5*a^2/(b^4*x^5 + a*b^3) - 2/5*a*log(b*x^5 + a)/b^3","A",0
1280,1,32,0,0.984482," ","integrate(x^9/(b*x^5+a)^2,x, algorithm=""maxima"")","\frac{a}{5 \, {\left(b^{3} x^{5} + a b^{2}\right)}} + \frac{\log\left(b x^{5} + a\right)}{5 \, b^{2}}"," ",0,"1/5*a/(b^3*x^5 + a*b^2) + 1/5*log(b*x^5 + a)/b^2","A",0
1281,1,14,0,1.007117," ","integrate(x^4/(b*x^5+a)^2,x, algorithm=""maxima"")","-\frac{1}{5 \, {\left(b x^{5} + a\right)} b}"," ",0,"-1/5/((b*x^5 + a)*b)","A",0
1282,1,37,0,1.118076," ","integrate(1/x/(b*x^5+a)^2,x, algorithm=""maxima"")","\frac{1}{5 \, {\left(a b x^{5} + a^{2}\right)}} - \frac{\log\left(b x^{5} + a\right)}{5 \, a^{2}} + \frac{\log\left(x^{5}\right)}{5 \, a^{2}}"," ",0,"1/5/(a*b*x^5 + a^2) - 1/5*log(b*x^5 + a)/a^2 + 1/5*log(x^5)/a^2","A",0
1283,1,53,0,1.123849," ","integrate(1/x^6/(b*x^5+a)^2,x, algorithm=""maxima"")","-\frac{2 \, b x^{5} + a}{5 \, {\left(a^{2} b x^{10} + a^{3} x^{5}\right)}} + \frac{2 \, b \log\left(b x^{5} + a\right)}{5 \, a^{3}} - \frac{2 \, b \log\left(x^{5}\right)}{5 \, a^{3}}"," ",0,"-1/5*(2*b*x^5 + a)/(a^2*b*x^10 + a^3*x^5) + 2/5*b*log(b*x^5 + a)/a^3 - 2/5*b*log(x^5)/a^3","A",0
1284,1,70,0,1.023520," ","integrate(1/x^11/(b*x^5+a)^2,x, algorithm=""maxima"")","\frac{6 \, b^{2} x^{10} + 3 \, a b x^{5} - a^{2}}{10 \, {\left(a^{3} b x^{15} + a^{4} x^{10}\right)}} - \frac{3 \, b^{2} \log\left(b x^{5} + a\right)}{5 \, a^{4}} + \frac{3 \, b^{2} \log\left(x^{5}\right)}{5 \, a^{4}}"," ",0,"1/10*(6*b^2*x^10 + 3*a*b*x^5 - a^2)/(a^3*b*x^15 + a^4*x^10) - 3/5*b^2*log(b*x^5 + a)/a^4 + 3/5*b^2*log(x^5)/a^4","A",0
1285,1,26,0,1.041646," ","integrate(x^14/(b*x^5+2*b),x, algorithm=""maxima"")","\frac{x^{10} - 4 \, x^{5}}{10 \, b} + \frac{4 \, \log\left(x^{5} + 2\right)}{5 \, b}"," ",0,"1/10*(x^10 - 4*x^5)/b + 4/5*log(x^5 + 2)/b","A",0
1286,1,20,0,0.971047," ","integrate(x^9/(b*x^5+2*b),x, algorithm=""maxima"")","\frac{x^{5}}{5 \, b} - \frac{2 \, \log\left(x^{5} + 2\right)}{5 \, b}"," ",0,"1/5*x^5/b - 2/5*log(x^5 + 2)/b","A",0
1287,1,15,0,1.057236," ","integrate(x^4/(b*x^5+2*b),x, algorithm=""maxima"")","\frac{\log\left(b x^{5} + 2 \, b\right)}{5 \, b}"," ",0,"1/5*log(b*x^5 + 2*b)/b","A",0
1288,1,21,0,1.096215," ","integrate(1/x/(b*x^5+2*b),x, algorithm=""maxima"")","-\frac{\log\left(x^{5} + 2\right)}{10 \, b} + \frac{\log\left(x^{5}\right)}{10 \, b}"," ",0,"-1/10*log(x^5 + 2)/b + 1/10*log(x^5)/b","A",0
1289,1,29,0,1.068289," ","integrate(1/x^6/(b*x^5+2*b),x, algorithm=""maxima"")","\frac{\log\left(x^{5} + 2\right)}{20 \, b} - \frac{\log\left(x^{5}\right)}{20 \, b} - \frac{1}{10 \, b x^{5}}"," ",0,"1/20*log(x^5 + 2)/b - 1/20*log(x^5)/b - 1/10/(b*x^5)","A",0
1290,1,30,0,0.963837," ","integrate(x^14/(b*x^5+3),x, algorithm=""maxima"")","\frac{b x^{10} - 6 \, x^{5}}{10 \, b^{2}} + \frac{9 \, \log\left(b x^{5} + 3\right)}{5 \, b^{3}}"," ",0,"1/10*(b*x^10 - 6*x^5)/b^2 + 9/5*log(b*x^5 + 3)/b^3","A",0
1291,1,22,0,1.007168," ","integrate(x^9/(b*x^5+3),x, algorithm=""maxima"")","\frac{x^{5}}{5 \, b} - \frac{3 \, \log\left(b x^{5} + 3\right)}{5 \, b^{2}}"," ",0,"1/5*x^5/b - 3/5*log(b*x^5 + 3)/b^2","A",0
1292,1,13,0,0.993069," ","integrate(x^4/(b*x^5+3),x, algorithm=""maxima"")","\frac{\log\left(b x^{5} + 3\right)}{5 \, b}"," ",0,"1/5*log(b*x^5 + 3)/b","A",0
1293,1,17,0,0.954201," ","integrate(1/x/(b*x^5+3),x, algorithm=""maxima"")","-\frac{1}{15} \, \log\left(b x^{5} + 3\right) + \frac{1}{15} \, \log\left(x^{5}\right)"," ",0,"-1/15*log(b*x^5 + 3) + 1/15*log(x^5)","A",0
1294,1,24,0,1.023954," ","integrate(1/x^6/(b*x^5+3),x, algorithm=""maxima"")","\frac{1}{45} \, b \log\left(b x^{5} + 3\right) - \frac{1}{45} \, b \log\left(x^{5}\right) - \frac{1}{15 \, x^{5}}"," ",0,"1/45*b*log(b*x^5 + 3) - 1/45*b*log(x^5) - 1/15/x^5","A",0
1295,1,19,0,1.078657," ","integrate(x^14/(x^5+1),x, algorithm=""maxima"")","\frac{1}{10} \, x^{10} - \frac{1}{5} \, x^{5} + \frac{1}{5} \, \log\left(x^{5} + 1\right)"," ",0,"1/10*x^10 - 1/5*x^5 + 1/5*log(x^5 + 1)","A",0
1296,1,14,0,1.023234," ","integrate(x^9/(x^5+1),x, algorithm=""maxima"")","\frac{1}{5} \, x^{5} - \frac{1}{5} \, \log\left(x^{5} + 1\right)"," ",0,"1/5*x^5 - 1/5*log(x^5 + 1)","A",0
1297,1,8,0,1.029754," ","integrate(x^4/(x^5+1),x, algorithm=""maxima"")","\frac{1}{5} \, \log\left(x^{5} + 1\right)"," ",0,"1/5*log(x^5 + 1)","A",0
1298,1,15,0,1.082500," ","integrate(1/x/(x^5+1),x, algorithm=""maxima"")","-\frac{1}{5} \, \log\left(x^{5} + 1\right) + \frac{1}{5} \, \log\left(x^{5}\right)"," ",0,"-1/5*log(x^5 + 1) + 1/5*log(x^5)","A",0
1299,1,20,0,0.982249," ","integrate(1/x^6/(x^5+1),x, algorithm=""maxima"")","-\frac{1}{5 \, x^{5}} + \frac{1}{5} \, \log\left(x^{5} + 1\right) - \frac{1}{5} \, \log\left(x^{5}\right)"," ",0,"-1/5/x^5 + 1/5*log(x^5 + 1) - 1/5*log(x^5)","A",0
1300,1,145,0,2.399194," ","integrate(x^5/(x^5+1),x, algorithm=""maxima"")","-\frac{\sqrt{5} {\left(\sqrt{5} + 1\right)} \arctan\left(\frac{4 \, x + \sqrt{5} - 1}{\sqrt{2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{2 \, \sqrt{5} + 10}} - \frac{\sqrt{5} {\left(\sqrt{5} - 1\right)} \arctan\left(\frac{4 \, x - \sqrt{5} - 1}{\sqrt{-2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{-2 \, \sqrt{5} + 10}} + x + \frac{{\left(\sqrt{5} + 3\right)} \log\left(2 \, x^{2} - x {\left(\sqrt{5} + 1\right)} + 2\right)}{10 \, {\left(\sqrt{5} + 1\right)}} + \frac{{\left(\sqrt{5} - 3\right)} \log\left(2 \, x^{2} + x {\left(\sqrt{5} - 1\right)} + 2\right)}{10 \, {\left(\sqrt{5} - 1\right)}} - \frac{1}{5} \, \log\left(x + 1\right)"," ",0,"-1/5*sqrt(5)*(sqrt(5) + 1)*arctan((4*x + sqrt(5) - 1)/sqrt(2*sqrt(5) + 10))/sqrt(2*sqrt(5) + 10) - 1/5*sqrt(5)*(sqrt(5) - 1)*arctan((4*x - sqrt(5) - 1)/sqrt(-2*sqrt(5) + 10))/sqrt(-2*sqrt(5) + 10) + x + 1/10*(sqrt(5) + 3)*log(2*x^2 - x*(sqrt(5) + 1) + 2)/(sqrt(5) + 1) + 1/10*(sqrt(5) - 3)*log(2*x^2 + x*(sqrt(5) - 1) + 2)/(sqrt(5) - 1) - 1/5*log(x + 1)","A",0
1301,1,144,0,2.276796," ","integrate(x^3/(x^5+1),x, algorithm=""maxima"")","\frac{\sqrt{5} {\left(\sqrt{5} + 1\right)} \arctan\left(\frac{4 \, x + \sqrt{5} - 1}{\sqrt{2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{2 \, \sqrt{5} + 10}} + \frac{\sqrt{5} {\left(\sqrt{5} - 1\right)} \arctan\left(\frac{4 \, x - \sqrt{5} - 1}{\sqrt{-2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{-2 \, \sqrt{5} + 10}} + \frac{{\left(\sqrt{5} + 3\right)} \log\left(2 \, x^{2} - x {\left(\sqrt{5} + 1\right)} + 2\right)}{10 \, {\left(\sqrt{5} + 1\right)}} + \frac{{\left(\sqrt{5} - 3\right)} \log\left(2 \, x^{2} + x {\left(\sqrt{5} - 1\right)} + 2\right)}{10 \, {\left(\sqrt{5} - 1\right)}} - \frac{1}{5} \, \log\left(x + 1\right)"," ",0,"1/5*sqrt(5)*(sqrt(5) + 1)*arctan((4*x + sqrt(5) - 1)/sqrt(2*sqrt(5) + 10))/sqrt(2*sqrt(5) + 10) + 1/5*sqrt(5)*(sqrt(5) - 1)*arctan((4*x - sqrt(5) - 1)/sqrt(-2*sqrt(5) + 10))/sqrt(-2*sqrt(5) + 10) + 1/10*(sqrt(5) + 3)*log(2*x^2 - x*(sqrt(5) + 1) + 2)/(sqrt(5) + 1) + 1/10*(sqrt(5) - 3)*log(2*x^2 + x*(sqrt(5) - 1) + 2)/(sqrt(5) - 1) - 1/5*log(x + 1)","A",0
1302,1,124,0,2.281735," ","integrate(x^2/(x^5+1),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{5} \arctan\left(\frac{4 \, x + \sqrt{5} - 1}{\sqrt{2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{2 \, \sqrt{5} + 10}} + \frac{2 \, \sqrt{5} \arctan\left(\frac{4 \, x - \sqrt{5} - 1}{\sqrt{-2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{-2 \, \sqrt{5} + 10}} + \frac{\log\left(2 \, x^{2} - x {\left(\sqrt{5} + 1\right)} + 2\right)}{5 \, {\left(\sqrt{5} + 1\right)}} - \frac{\log\left(2 \, x^{2} + x {\left(\sqrt{5} - 1\right)} + 2\right)}{5 \, {\left(\sqrt{5} - 1\right)}} + \frac{1}{5} \, \log\left(x + 1\right)"," ",0,"-2/5*sqrt(5)*arctan((4*x + sqrt(5) - 1)/sqrt(2*sqrt(5) + 10))/sqrt(2*sqrt(5) + 10) + 2/5*sqrt(5)*arctan((4*x - sqrt(5) - 1)/sqrt(-2*sqrt(5) + 10))/sqrt(-2*sqrt(5) + 10) + 1/5*log(2*x^2 - x*(sqrt(5) + 1) + 2)/(sqrt(5) + 1) - 1/5*log(2*x^2 + x*(sqrt(5) - 1) + 2)/(sqrt(5) - 1) + 1/5*log(x + 1)","A",0
1303,1,124,0,2.319650," ","integrate(x/(x^5+1),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{5} \arctan\left(\frac{4 \, x + \sqrt{5} - 1}{\sqrt{2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{2 \, \sqrt{5} + 10}} + \frac{2 \, \sqrt{5} \arctan\left(\frac{4 \, x - \sqrt{5} - 1}{\sqrt{-2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{-2 \, \sqrt{5} + 10}} - \frac{\log\left(2 \, x^{2} - x {\left(\sqrt{5} + 1\right)} + 2\right)}{5 \, {\left(\sqrt{5} + 1\right)}} + \frac{\log\left(2 \, x^{2} + x {\left(\sqrt{5} - 1\right)} + 2\right)}{5 \, {\left(\sqrt{5} - 1\right)}} - \frac{1}{5} \, \log\left(x + 1\right)"," ",0,"-2/5*sqrt(5)*arctan((4*x + sqrt(5) - 1)/sqrt(2*sqrt(5) + 10))/sqrt(2*sqrt(5) + 10) + 2/5*sqrt(5)*arctan((4*x - sqrt(5) - 1)/sqrt(-2*sqrt(5) + 10))/sqrt(-2*sqrt(5) + 10) - 1/5*log(2*x^2 - x*(sqrt(5) + 1) + 2)/(sqrt(5) + 1) + 1/5*log(2*x^2 + x*(sqrt(5) - 1) + 2)/(sqrt(5) - 1) - 1/5*log(x + 1)","A",0
1304,1,144,0,2.343098," ","integrate(1/(x^5+1),x, algorithm=""maxima"")","\frac{\sqrt{5} {\left(\sqrt{5} + 1\right)} \arctan\left(\frac{4 \, x + \sqrt{5} - 1}{\sqrt{2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{2 \, \sqrt{5} + 10}} + \frac{\sqrt{5} {\left(\sqrt{5} - 1\right)} \arctan\left(\frac{4 \, x - \sqrt{5} - 1}{\sqrt{-2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{-2 \, \sqrt{5} + 10}} - \frac{{\left(\sqrt{5} + 3\right)} \log\left(2 \, x^{2} - x {\left(\sqrt{5} + 1\right)} + 2\right)}{10 \, {\left(\sqrt{5} + 1\right)}} - \frac{{\left(\sqrt{5} - 3\right)} \log\left(2 \, x^{2} + x {\left(\sqrt{5} - 1\right)} + 2\right)}{10 \, {\left(\sqrt{5} - 1\right)}} + \frac{1}{5} \, \log\left(x + 1\right)"," ",0,"1/5*sqrt(5)*(sqrt(5) + 1)*arctan((4*x + sqrt(5) - 1)/sqrt(2*sqrt(5) + 10))/sqrt(2*sqrt(5) + 10) + 1/5*sqrt(5)*(sqrt(5) - 1)*arctan((4*x - sqrt(5) - 1)/sqrt(-2*sqrt(5) + 10))/sqrt(-2*sqrt(5) + 10) - 1/10*(sqrt(5) + 3)*log(2*x^2 - x*(sqrt(5) + 1) + 2)/(sqrt(5) + 1) - 1/10*(sqrt(5) - 3)*log(2*x^2 + x*(sqrt(5) - 1) + 2)/(sqrt(5) - 1) + 1/5*log(x + 1)","A",0
1305,1,149,0,2.405853," ","integrate(1/x^2/(x^5+1),x, algorithm=""maxima"")","-\frac{\sqrt{5} {\left(\sqrt{5} + 1\right)} \arctan\left(\frac{4 \, x + \sqrt{5} - 1}{\sqrt{2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{2 \, \sqrt{5} + 10}} - \frac{\sqrt{5} {\left(\sqrt{5} - 1\right)} \arctan\left(\frac{4 \, x - \sqrt{5} - 1}{\sqrt{-2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{-2 \, \sqrt{5} + 10}} - \frac{{\left(\sqrt{5} + 3\right)} \log\left(2 \, x^{2} - x {\left(\sqrt{5} + 1\right)} + 2\right)}{10 \, {\left(\sqrt{5} + 1\right)}} - \frac{{\left(\sqrt{5} - 3\right)} \log\left(2 \, x^{2} + x {\left(\sqrt{5} - 1\right)} + 2\right)}{10 \, {\left(\sqrt{5} - 1\right)}} - \frac{1}{x} + \frac{1}{5} \, \log\left(x + 1\right)"," ",0,"-1/5*sqrt(5)*(sqrt(5) + 1)*arctan((4*x + sqrt(5) - 1)/sqrt(2*sqrt(5) + 10))/sqrt(2*sqrt(5) + 10) - 1/5*sqrt(5)*(sqrt(5) - 1)*arctan((4*x - sqrt(5) - 1)/sqrt(-2*sqrt(5) + 10))/sqrt(-2*sqrt(5) + 10) - 1/10*(sqrt(5) + 3)*log(2*x^2 - x*(sqrt(5) + 1) + 2)/(sqrt(5) + 1) - 1/10*(sqrt(5) - 3)*log(2*x^2 + x*(sqrt(5) - 1) + 2)/(sqrt(5) - 1) - 1/x + 1/5*log(x + 1)","A",0
1306,1,129,0,2.273856," ","integrate(1/x^3/(x^5+1),x, algorithm=""maxima"")","\frac{2 \, \sqrt{5} \arctan\left(\frac{4 \, x + \sqrt{5} - 1}{\sqrt{2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{2 \, \sqrt{5} + 10}} - \frac{2 \, \sqrt{5} \arctan\left(\frac{4 \, x - \sqrt{5} - 1}{\sqrt{-2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{-2 \, \sqrt{5} + 10}} - \frac{\log\left(2 \, x^{2} - x {\left(\sqrt{5} + 1\right)} + 2\right)}{5 \, {\left(\sqrt{5} + 1\right)}} + \frac{\log\left(2 \, x^{2} + x {\left(\sqrt{5} - 1\right)} + 2\right)}{5 \, {\left(\sqrt{5} - 1\right)}} - \frac{1}{2 \, x^{2}} - \frac{1}{5} \, \log\left(x + 1\right)"," ",0,"2/5*sqrt(5)*arctan((4*x + sqrt(5) - 1)/sqrt(2*sqrt(5) + 10))/sqrt(2*sqrt(5) + 10) - 2/5*sqrt(5)*arctan((4*x - sqrt(5) - 1)/sqrt(-2*sqrt(5) + 10))/sqrt(-2*sqrt(5) + 10) - 1/5*log(2*x^2 - x*(sqrt(5) + 1) + 2)/(sqrt(5) + 1) + 1/5*log(2*x^2 + x*(sqrt(5) - 1) + 2)/(sqrt(5) - 1) - 1/2/x^2 - 1/5*log(x + 1)","A",0
1307,1,129,0,2.288231," ","integrate(1/x^4/(x^5+1),x, algorithm=""maxima"")","\frac{2 \, \sqrt{5} \arctan\left(\frac{4 \, x + \sqrt{5} - 1}{\sqrt{2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{2 \, \sqrt{5} + 10}} - \frac{2 \, \sqrt{5} \arctan\left(\frac{4 \, x - \sqrt{5} - 1}{\sqrt{-2 \, \sqrt{5} + 10}}\right)}{5 \, \sqrt{-2 \, \sqrt{5} + 10}} + \frac{\log\left(2 \, x^{2} - x {\left(\sqrt{5} + 1\right)} + 2\right)}{5 \, {\left(\sqrt{5} + 1\right)}} - \frac{\log\left(2 \, x^{2} + x {\left(\sqrt{5} - 1\right)} + 2\right)}{5 \, {\left(\sqrt{5} - 1\right)}} - \frac{1}{3 \, x^{3}} + \frac{1}{5} \, \log\left(x + 1\right)"," ",0,"2/5*sqrt(5)*arctan((4*x + sqrt(5) - 1)/sqrt(2*sqrt(5) + 10))/sqrt(2*sqrt(5) + 10) - 2/5*sqrt(5)*arctan((4*x - sqrt(5) - 1)/sqrt(-2*sqrt(5) + 10))/sqrt(-2*sqrt(5) + 10) + 1/5*log(2*x^2 - x*(sqrt(5) + 1) + 2)/(sqrt(5) + 1) - 1/5*log(2*x^2 + x*(sqrt(5) - 1) + 2)/(sqrt(5) - 1) - 1/3/x^3 + 1/5*log(x + 1)","A",0
1308,1,124,0,2.345515," ","integrate(x^(23/2)/(b*x^5+a)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, a^{2} \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x^{5} + a}}{x^{\frac{5}{2}}}}{\sqrt{b} + \frac{\sqrt{b x^{5} + a}}{x^{\frac{5}{2}}}}\right)}{40 \, b^{\frac{5}{2}}} + \frac{\frac{5 \, \sqrt{b x^{5} + a} a^{2} b}{x^{\frac{5}{2}}} - \frac{3 \, {\left(b x^{5} + a\right)}^{\frac{3}{2}} a^{2}}{x^{\frac{15}{2}}}}{20 \, {\left(b^{4} - \frac{2 \, {\left(b x^{5} + a\right)} b^{3}}{x^{5}} + \frac{{\left(b x^{5} + a\right)}^{2} b^{2}}{x^{10}}\right)}}"," ",0,"-3/40*a^2*log(-(sqrt(b) - sqrt(b*x^5 + a)/x^(5/2))/(sqrt(b) + sqrt(b*x^5 + a)/x^(5/2)))/b^(5/2) + 1/20*(5*sqrt(b*x^5 + a)*a^2*b/x^(5/2) - 3*(b*x^5 + a)^(3/2)*a^2/x^(15/2))/(b^4 - 2*(b*x^5 + a)*b^3/x^5 + (b*x^5 + a)^2*b^2/x^10)","B",0
1309,1,81,0,2.346110," ","integrate(x^(13/2)/(b*x^5+a)^(1/2),x, algorithm=""maxima"")","\frac{a \log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x^{5} + a}}{x^{\frac{5}{2}}}}{\sqrt{b} + \frac{\sqrt{b x^{5} + a}}{x^{\frac{5}{2}}}}\right)}{10 \, b^{\frac{3}{2}}} - \frac{\sqrt{b x^{5} + a} a}{5 \, {\left(b^{2} - \frac{{\left(b x^{5} + a\right)} b}{x^{5}}\right)} x^{\frac{5}{2}}}"," ",0,"1/10*a*log(-(sqrt(b) - sqrt(b*x^5 + a)/x^(5/2))/(sqrt(b) + sqrt(b*x^5 + a)/x^(5/2)))/b^(3/2) - 1/5*sqrt(b*x^5 + a)*a/((b^2 - (b*x^5 + a)*b/x^5)*x^(5/2))","A",0
1310,1,45,0,2.273737," ","integrate(x^(3/2)/(b*x^5+a)^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(-\frac{\sqrt{b} - \frac{\sqrt{b x^{5} + a}}{x^{\frac{5}{2}}}}{\sqrt{b} + \frac{\sqrt{b x^{5} + a}}{x^{\frac{5}{2}}}}\right)}{5 \, \sqrt{b}}"," ",0,"-1/5*log(-(sqrt(b) - sqrt(b*x^5 + a)/x^(5/2))/(sqrt(b) + sqrt(b*x^5 + a)/x^(5/2)))/sqrt(b)","B",0
1311,1,17,0,1.012635," ","integrate(1/x^(7/2)/(b*x^5+a)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{b x^{5} + a}}{5 \, a x^{\frac{5}{2}}}"," ",0,"-2/5*sqrt(b*x^5 + a)/(a*x^(5/2))","A",0
1312,1,35,0,1.098342," ","integrate(1/x^(17/2)/(b*x^5+a)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, \sqrt{b x^{5} + a} b}{x^{\frac{5}{2}}} - \frac{{\left(b x^{5} + a\right)}^{\frac{3}{2}}}{x^{\frac{15}{2}}}\right)}}{15 \, a^{2}}"," ",0,"2/15*(3*sqrt(b*x^5 + a)*b/x^(5/2) - (b*x^5 + a)^(3/2)/x^(15/2))/a^2","A",0
1313,1,86,0,1.118364," ","integrate(x^(23/2)/(x^5+1)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{5 \, \sqrt{x^{5} + 1}}{x^{\frac{5}{2}}} - \frac{3 \, {\left(x^{5} + 1\right)}^{\frac{3}{2}}}{x^{\frac{15}{2}}}}{20 \, {\left(\frac{2 \, {\left(x^{5} + 1\right)}}{x^{5}} - \frac{{\left(x^{5} + 1\right)}^{2}}{x^{10}} - 1\right)}} + \frac{3}{40} \, \log\left(\frac{\sqrt{x^{5} + 1}}{x^{\frac{5}{2}}} + 1\right) - \frac{3}{40} \, \log\left(\frac{\sqrt{x^{5} + 1}}{x^{\frac{5}{2}}} - 1\right)"," ",0,"-1/20*(5*sqrt(x^5 + 1)/x^(5/2) - 3*(x^5 + 1)^(3/2)/x^(15/2))/(2*(x^5 + 1)/x^5 - (x^5 + 1)^2/x^10 - 1) + 3/40*log(sqrt(x^5 + 1)/x^(5/2) + 1) - 3/40*log(sqrt(x^5 + 1)/x^(5/2) - 1)","B",0
1314,1,58,0,1.049499," ","integrate(x^(13/2)/(x^5+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{5} + 1}}{5 \, x^{\frac{5}{2}} {\left(\frac{x^{5} + 1}{x^{5}} - 1\right)}} - \frac{1}{10} \, \log\left(\frac{\sqrt{x^{5} + 1}}{x^{\frac{5}{2}}} + 1\right) + \frac{1}{10} \, \log\left(\frac{\sqrt{x^{5} + 1}}{x^{\frac{5}{2}}} - 1\right)"," ",0,"1/5*sqrt(x^5 + 1)/(x^(5/2)*((x^5 + 1)/x^5 - 1)) - 1/10*log(sqrt(x^5 + 1)/x^(5/2) + 1) + 1/10*log(sqrt(x^5 + 1)/x^(5/2) - 1)","B",0
1315,1,33,0,0.927301," ","integrate(x^(3/2)/(x^5+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{5} \, \log\left(\frac{\sqrt{x^{5} + 1}}{x^{\frac{5}{2}}} + 1\right) - \frac{1}{5} \, \log\left(\frac{\sqrt{x^{5} + 1}}{x^{\frac{5}{2}}} - 1\right)"," ",0,"1/5*log(sqrt(x^5 + 1)/x^(5/2) + 1) - 1/5*log(sqrt(x^5 + 1)/x^(5/2) - 1)","B",0
1316,1,12,0,1.054007," ","integrate(1/x^(7/2)/(x^5+1)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{x^{5} + 1}}{5 \, x^{\frac{5}{2}}}"," ",0,"-2/5*sqrt(x^5 + 1)/x^(5/2)","A",0
1317,1,25,0,0.945663," ","integrate(1/x^(17/2)/(x^5+1)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{x^{5} + 1}}{5 \, x^{\frac{5}{2}}} - \frac{2 \, {\left(x^{5} + 1\right)}^{\frac{3}{2}}}{15 \, x^{\frac{15}{2}}}"," ",0,"2/5*sqrt(x^5 + 1)/x^(5/2) - 2/15*(x^5 + 1)^(3/2)/x^(15/2)","A",0
1318,1,31,0,2.265139," ","integrate(x^8/(b*x^6+a),x, algorithm=""maxima"")","\frac{x^{3}}{3 \, b} - \frac{a \arctan\left(\frac{b x^{3}}{\sqrt{a b}}\right)}{3 \, \sqrt{a b} b}"," ",0,"1/3*x^3/b - 1/3*a*arctan(b*x^3/sqrt(a*b))/(sqrt(a*b)*b)","A",0
1319,1,115,0,2.468190," ","integrate(x^7/(b*x^6+a),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, b} - \frac{\sqrt{3} a \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{2} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{6 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{a \log\left(x^{4} - x^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{12 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{a \log\left(x^{2} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/2*x^2/b - 1/6*sqrt(3)*a*arctan(1/3*sqrt(3)*(2*x^2 - (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(2/3)) + 1/12*a*log(x^4 - x^2*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(2/3)) - 1/6*a*log(x^2 + (a/b)^(1/3))/(b^2*(a/b)^(2/3))","A",0
1320,1,194,0,2.429723," ","integrate(x^6/(b*x^6+a),x, algorithm=""maxima"")","-\frac{\frac{\sqrt{3} a^{\frac{1}{6}} \log\left(b^{\frac{1}{3}} x^{2} + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{b^{\frac{1}{6}}} - \frac{\sqrt{3} a^{\frac{1}{6}} \log\left(b^{\frac{1}{3}} x^{2} - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{b^{\frac{1}{6}}} + \frac{4 \, a^{\frac{1}{3}} \arctan\left(\frac{b^{\frac{1}{3}} x}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, a^{\frac{1}{3}} \arctan\left(\frac{2 \, b^{\frac{1}{3}} x + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, a^{\frac{1}{3}} \arctan\left(\frac{2 \, b^{\frac{1}{3}} x - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}}{12 \, b} + \frac{x}{b}"," ",0,"-1/12*(sqrt(3)*a^(1/6)*log(b^(1/3)*x^2 + sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/b^(1/6) - sqrt(3)*a^(1/6)*log(b^(1/3)*x^2 - sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/b^(1/6) + 4*a^(1/3)*arctan(b^(1/3)*x/sqrt(a^(1/3)*b^(1/3)))/sqrt(a^(1/3)*b^(1/3)) + 2*a^(1/3)*arctan((2*b^(1/3)*x + sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/sqrt(a^(1/3)*b^(1/3)) + 2*a^(1/3)*arctan((2*b^(1/3)*x - sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/sqrt(a^(1/3)*b^(1/3)))/b + x/b","A",0
1321,1,13,0,0.985418," ","integrate(x^5/(b*x^6+a),x, algorithm=""maxima"")","\frac{\log\left(b x^{6} + a\right)}{6 \, b}"," ",0,"1/6*log(b*x^6 + a)/b","A",0
1322,1,184,0,2.377672," ","integrate(x^4/(b*x^6+a),x, algorithm=""maxima"")","-\frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{12 \, a^{\frac{1}{6}} b^{\frac{5}{6}}} + \frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{12 \, a^{\frac{1}{6}} b^{\frac{5}{6}}} + \frac{\arctan\left(\frac{b^{\frac{1}{3}} x}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{3 \, b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{\arctan\left(\frac{2 \, b^{\frac{1}{3}} x + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{6 \, b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{\arctan\left(\frac{2 \, b^{\frac{1}{3}} x - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{6 \, b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}"," ",0,"-1/12*sqrt(3)*log(b^(1/3)*x^2 + sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(1/6)*b^(5/6)) + 1/12*sqrt(3)*log(b^(1/3)*x^2 - sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(1/6)*b^(5/6)) + 1/3*arctan(b^(1/3)*x/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) + 1/6*arctan((2*b^(1/3)*x + sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) + 1/6*arctan((2*b^(1/3)*x - sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3)))","A",0
1323,1,104,0,2.327819," ","integrate(x^3/(b*x^6+a),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{2} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{6 \, b \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{4} - x^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{12 \, b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x^{2} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, b \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - (a/b)^(1/3))/(a/b)^(1/3))/(b*(a/b)^(1/3)) + 1/12*log(x^4 - x^2*(a/b)^(1/3) + (a/b)^(2/3))/(b*(a/b)^(1/3)) - 1/6*log(x^2 + (a/b)^(1/3))/(b*(a/b)^(1/3))","A",0
1324,1,18,0,2.315354," ","integrate(x^2/(b*x^6+a),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{b x^{3}}{\sqrt{a b}}\right)}{3 \, \sqrt{a b}}"," ",0,"1/3*arctan(b*x^3/sqrt(a*b))/sqrt(a*b)","A",0
1325,1,104,0,2.343011," ","integrate(x/(b*x^6+a),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{2} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{6 \, b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{4} - x^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{12 \, b \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x^{2} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, b \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - (a/b)^(1/3))/(a/b)^(1/3))/(b*(a/b)^(2/3)) - 1/12*log(x^4 - x^2*(a/b)^(1/3) + (a/b)^(2/3))/(b*(a/b)^(2/3)) + 1/6*log(x^2 + (a/b)^(1/3))/(b*(a/b)^(2/3))","A",0
1326,1,184,0,2.455957," ","integrate(1/(b*x^6+a),x, algorithm=""maxima"")","\frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{12 \, a^{\frac{5}{6}} b^{\frac{1}{6}}} - \frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{12 \, a^{\frac{5}{6}} b^{\frac{1}{6}}} + \frac{\arctan\left(\frac{b^{\frac{1}{3}} x}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{3 \, a^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{\arctan\left(\frac{2 \, b^{\frac{1}{3}} x + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{6 \, a^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{\arctan\left(\frac{2 \, b^{\frac{1}{3}} x - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{6 \, a^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}"," ",0,"1/12*sqrt(3)*log(b^(1/3)*x^2 + sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(5/6)*b^(1/6)) - 1/12*sqrt(3)*log(b^(1/3)*x^2 - sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(5/6)*b^(1/6)) + 1/3*arctan(b^(1/3)*x/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*sqrt(a^(1/3)*b^(1/3))) + 1/6*arctan((2*b^(1/3)*x + sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*sqrt(a^(1/3)*b^(1/3))) + 1/6*arctan((2*b^(1/3)*x - sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*sqrt(a^(1/3)*b^(1/3)))","A",0
1327,1,23,0,1.072200," ","integrate(1/x/(b*x^6+a),x, algorithm=""maxima"")","-\frac{\log\left(b x^{6} + a\right)}{6 \, a} + \frac{\log\left(x^{6}\right)}{6 \, a}"," ",0,"-1/6*log(b*x^6 + a)/a + 1/6*log(x^6)/a","A",0
1328,1,198,0,2.484252," ","integrate(1/x^2/(b*x^6+a),x, algorithm=""maxima"")","\frac{b {\left(\frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{4 \, \arctan\left(\frac{b^{\frac{1}{3}} x}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{2 \, \arctan\left(\frac{2 \, b^{\frac{1}{3}} x + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{2 \, \arctan\left(\frac{2 \, b^{\frac{1}{3}} x - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}}{12 \, a} - \frac{1}{a x}"," ",0,"1/12*b*(sqrt(3)*log(b^(1/3)*x^2 + sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - sqrt(3)*log(b^(1/3)*x^2 - sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - 4*arctan(b^(1/3)*x/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 2*arctan((2*b^(1/3)*x + sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 2*arctan((2*b^(1/3)*x - sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))))/a - 1/(a*x)","A",0
1329,1,112,0,2.312352," ","integrate(1/x^3/(b*x^6+a),x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{2} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{6 \, a \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x^{4} - x^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{12 \, a \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{2} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{6 \, a \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{1}{2 \, a x^{2}}"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - (a/b)^(1/3))/(a/b)^(1/3))/(a*(a/b)^(1/3)) - 1/12*log(x^4 - x^2*(a/b)^(1/3) + (a/b)^(2/3))/(a*(a/b)^(1/3)) + 1/6*log(x^2 + (a/b)^(1/3))/(a*(a/b)^(1/3)) - 1/2/(a*x^2)","A",0
1330,1,31,0,2.292016," ","integrate(1/x^4/(b*x^6+a),x, algorithm=""maxima"")","-\frac{b \arctan\left(\frac{b x^{3}}{\sqrt{a b}}\right)}{3 \, \sqrt{a b} a} - \frac{1}{3 \, a x^{3}}"," ",0,"-1/3*b*arctan(b*x^3/sqrt(a*b))/(sqrt(a*b)*a) - 1/3/(a*x^3)","A",0
1331,1,40,0,2.399432," ","integrate(x^8/(b*x^6+a)^2,x, algorithm=""maxima"")","-\frac{x^{3}}{6 \, {\left(b^{2} x^{6} + a b\right)}} + \frac{\arctan\left(\frac{b x^{3}}{\sqrt{a b}}\right)}{6 \, \sqrt{a b} b}"," ",0,"-1/6*x^3/(b^2*x^6 + a*b) + 1/6*arctan(b*x^3/sqrt(a*b))/(sqrt(a*b)*b)","A",0
1332,1,122,0,2.363924," ","integrate(x^7/(b*x^6+a)^2,x, algorithm=""maxima"")","-\frac{x^{2}}{6 \, {\left(b^{2} x^{6} + a b\right)}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{2} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{18 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{4} - x^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{36 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x^{2} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{18 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/6*x^2/(b^2*x^6 + a*b) + 1/18*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - (a/b)^(1/3))/(a/b)^(1/3))/(b^2*(a/b)^(2/3)) - 1/36*log(x^4 - x^2*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(2/3)) + 1/18*log(x^2 + (a/b)^(1/3))/(b^2*(a/b)^(2/3))","A",0
1333,1,205,0,2.296323," ","integrate(x^6/(b*x^6+a)^2,x, algorithm=""maxima"")","-\frac{x}{6 \, {\left(b^{2} x^{6} + a b\right)}} + \frac{\frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} - \frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} + \frac{4 \, \arctan\left(\frac{b^{\frac{1}{3}} x}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, \arctan\left(\frac{2 \, b^{\frac{1}{3}} x + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, \arctan\left(\frac{2 \, b^{\frac{1}{3}} x - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}}{72 \, b}"," ",0,"-1/6*x/(b^2*x^6 + a*b) + 1/72*(sqrt(3)*log(b^(1/3)*x^2 + sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(5/6)*b^(1/6)) - sqrt(3)*log(b^(1/3)*x^2 - sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(5/6)*b^(1/6)) + 4*arctan(b^(1/3)*x/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*sqrt(a^(1/3)*b^(1/3))) + 2*arctan((2*b^(1/3)*x + sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*sqrt(a^(1/3)*b^(1/3))) + 2*arctan((2*b^(1/3)*x - sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*sqrt(a^(1/3)*b^(1/3))))/b","A",0
1334,1,14,0,1.005812," ","integrate(x^5/(b*x^6+a)^2,x, algorithm=""maxima"")","-\frac{1}{6 \, {\left(b x^{6} + a\right)} b}"," ",0,"-1/6/((b*x^6 + a)*b)","A",0
1335,1,206,0,2.459160," ","integrate(x^4/(b*x^6+a)^2,x, algorithm=""maxima"")","\frac{x^{5}}{6 \, {\left(a b x^{6} + a^{2}\right)}} - \frac{\frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{4 \, \arctan\left(\frac{b^{\frac{1}{3}} x}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{2 \, \arctan\left(\frac{2 \, b^{\frac{1}{3}} x + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{2 \, \arctan\left(\frac{2 \, b^{\frac{1}{3}} x - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}}{72 \, a}"," ",0,"1/6*x^5/(a*b*x^6 + a^2) - 1/72*(sqrt(3)*log(b^(1/3)*x^2 + sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - sqrt(3)*log(b^(1/3)*x^2 - sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - 4*arctan(b^(1/3)*x/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 2*arctan((2*b^(1/3)*x + sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 2*arctan((2*b^(1/3)*x - sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))))/a","A",0
1336,1,130,0,2.389125," ","integrate(x^3/(b*x^6+a)^2,x, algorithm=""maxima"")","\frac{x^{4}}{6 \, {\left(a b x^{6} + a^{2}\right)}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{2} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{18 \, a b \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{4} - x^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{36 \, a b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x^{2} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{18 \, a b \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/6*x^4/(a*b*x^6 + a^2) + 1/18*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - (a/b)^(1/3))/(a/b)^(1/3))/(a*b*(a/b)^(1/3)) + 1/36*log(x^4 - x^2*(a/b)^(1/3) + (a/b)^(2/3))/(a*b*(a/b)^(1/3)) - 1/18*log(x^2 + (a/b)^(1/3))/(a*b*(a/b)^(1/3))","A",0
1337,1,39,0,2.377375," ","integrate(x^2/(b*x^6+a)^2,x, algorithm=""maxima"")","\frac{x^{3}}{6 \, {\left(a b x^{6} + a^{2}\right)}} + \frac{\arctan\left(\frac{b x^{3}}{\sqrt{a b}}\right)}{6 \, \sqrt{a b} a}"," ",0,"1/6*x^3/(a*b*x^6 + a^2) + 1/6*arctan(b*x^3/sqrt(a*b))/(sqrt(a*b)*a)","A",0
1338,1,130,0,2.310300," ","integrate(x/(b*x^6+a)^2,x, algorithm=""maxima"")","\frac{x^{2}}{6 \, {\left(a b x^{6} + a^{2}\right)}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{2} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{4} - x^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{18 \, a b \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{\log\left(x^{2} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a b \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/6*x^2/(a*b*x^6 + a^2) + 1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - (a/b)^(1/3))/(a/b)^(1/3))/(a*b*(a/b)^(2/3)) - 1/18*log(x^4 - x^2*(a/b)^(1/3) + (a/b)^(2/3))/(a*b*(a/b)^(2/3)) + 1/9*log(x^2 + (a/b)^(1/3))/(a*b*(a/b)^(2/3))","A",0
1339,1,204,0,2.330665," ","integrate(1/(b*x^6+a)^2,x, algorithm=""maxima"")","\frac{x}{6 \, {\left(a b x^{6} + a^{2}\right)}} + \frac{5 \, {\left(\frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} - \frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{a^{\frac{5}{6}} b^{\frac{1}{6}}} + \frac{4 \, \arctan\left(\frac{b^{\frac{1}{3}} x}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, \arctan\left(\frac{2 \, b^{\frac{1}{3}} x + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, \arctan\left(\frac{2 \, b^{\frac{1}{3}} x - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{a^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}}{72 \, a}"," ",0,"1/6*x/(a*b*x^6 + a^2) + 5/72*(sqrt(3)*log(b^(1/3)*x^2 + sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(5/6)*b^(1/6)) - sqrt(3)*log(b^(1/3)*x^2 - sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(5/6)*b^(1/6)) + 4*arctan(b^(1/3)*x/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*sqrt(a^(1/3)*b^(1/3))) + 2*arctan((2*b^(1/3)*x + sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*sqrt(a^(1/3)*b^(1/3))) + 2*arctan((2*b^(1/3)*x - sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(a^(2/3)*sqrt(a^(1/3)*b^(1/3))))/a","A",0
1340,1,37,0,1.088320," ","integrate(1/x/(b*x^6+a)^2,x, algorithm=""maxima"")","\frac{1}{6 \, {\left(a b x^{6} + a^{2}\right)}} - \frac{\log\left(b x^{6} + a\right)}{6 \, a^{2}} + \frac{\log\left(x^{6}\right)}{6 \, a^{2}}"," ",0,"1/6/(a*b*x^6 + a^2) - 1/6*log(b*x^6 + a)/a^2 + 1/6*log(x^6)/a^2","A",0
1341,1,218,0,2.413650," ","integrate(1/x^2/(b*x^6+a)^2,x, algorithm=""maxima"")","-\frac{7 \, b x^{6} + 6 \, a}{6 \, {\left(a^{2} b x^{7} + a^{3} x\right)}} + \frac{7 \, b {\left(\frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{\sqrt{3} \log\left(b^{\frac{1}{3}} x^{2} - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + a^{\frac{1}{3}}\right)}{a^{\frac{1}{6}} b^{\frac{5}{6}}} - \frac{4 \, \arctan\left(\frac{b^{\frac{1}{3}} x}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{2 \, \arctan\left(\frac{2 \, b^{\frac{1}{3}} x + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} - \frac{2 \, \arctan\left(\frac{2 \, b^{\frac{1}{3}} x - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{b^{\frac{2}{3}} \sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}}{72 \, a^{2}}"," ",0,"-1/6*(7*b*x^6 + 6*a)/(a^2*b*x^7 + a^3*x) + 7/72*b*(sqrt(3)*log(b^(1/3)*x^2 + sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - sqrt(3)*log(b^(1/3)*x^2 - sqrt(3)*a^(1/6)*b^(1/6)*x + a^(1/3))/(a^(1/6)*b^(5/6)) - 4*arctan(b^(1/3)*x/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 2*arctan((2*b^(1/3)*x + sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))) - 2*arctan((2*b^(1/3)*x - sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/(b^(2/3)*sqrt(a^(1/3)*b^(1/3))))/a^2","A",0
1342,1,134,0,2.320107," ","integrate(1/x^3/(b*x^6+a)^2,x, algorithm=""maxima"")","-\frac{4 \, b x^{6} + 3 \, a}{6 \, {\left(a^{2} b x^{8} + a^{3} x^{2}\right)}} - \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x^{2} - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{9 \, a^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{\log\left(x^{4} - x^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{9 \, a^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{2 \, \log\left(x^{2} + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{9 \, a^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/6*(4*b*x^6 + 3*a)/(a^2*b*x^8 + a^3*x^2) - 2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*(a/b)^(1/3)) - 1/9*log(x^4 - x^2*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*(a/b)^(1/3)) + 2/9*log(x^2 + (a/b)^(1/3))/(a^2*(a/b)^(1/3))","A",0
1343,1,53,0,2.361934," ","integrate(1/x^4/(b*x^6+a)^2,x, algorithm=""maxima"")","-\frac{3 \, b x^{6} + 2 \, a}{6 \, {\left(a^{2} b x^{9} + a^{3} x^{3}\right)}} - \frac{b \arctan\left(\frac{b x^{3}}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{2}}"," ",0,"-1/6*(3*b*x^6 + 2*a)/(a^2*b*x^9 + a^3*x^3) - 1/2*b*arctan(b*x^3/sqrt(a*b))/(sqrt(a*b)*a^2)","A",0
1344,1,22,0,0.980994," ","integrate(x^8/(-x^6+1),x, algorithm=""maxima"")","-\frac{1}{3} \, x^{3} + \frac{1}{6} \, \log\left(x^{3} + 1\right) - \frac{1}{6} \, \log\left(x^{3} - 1\right)"," ",0,"-1/3*x^3 + 1/6*log(x^3 + 1) - 1/6*log(x^3 - 1)","A",0
1345,1,43,0,2.443772," ","integrate(x^7/(-x^6+1),x, algorithm=""maxima"")","-\frac{1}{2} \, x^{2} + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} + 1\right)}\right) + \frac{1}{12} \, \log\left(x^{4} + x^{2} + 1\right) - \frac{1}{6} \, \log\left(x^{2} - 1\right)"," ",0,"-1/2*x^2 + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 + 1)) + 1/12*log(x^4 + x^2 + 1) - 1/6*log(x^2 - 1)","A",0
1346,1,68,0,2.213537," ","integrate(x^6/(-x^6+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - x + \frac{1}{12} \, \log\left(x^{2} + x + 1\right) - \frac{1}{12} \, \log\left(x^{2} - x + 1\right) + \frac{1}{6} \, \log\left(x + 1\right) - \frac{1}{6} \, \log\left(x - 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - x + 1/12*log(x^2 + x + 1) - 1/12*log(x^2 - x + 1) + 1/6*log(x + 1) - 1/6*log(x - 1)","A",0
1347,1,8,0,1.108765," ","integrate(x^5/(-x^6+1),x, algorithm=""maxima"")","-\frac{1}{6} \, \log\left(x^{6} - 1\right)"," ",0,"-1/6*log(x^6 - 1)","A",0
1348,1,65,0,2.311751," ","integrate(x^4/(-x^6+1),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{12} \, \log\left(x^{2} + x + 1\right) - \frac{1}{12} \, \log\left(x^{2} - x + 1\right) + \frac{1}{6} \, \log\left(x + 1\right) - \frac{1}{6} \, \log\left(x - 1\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/12*log(x^2 + x + 1) - 1/12*log(x^2 - x + 1) + 1/6*log(x + 1) - 1/6*log(x - 1)","A",0
1349,1,38,0,2.347708," ","integrate(x^3/(-x^6+1),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} + 1\right)}\right) + \frac{1}{12} \, \log\left(x^{4} + x^{2} + 1\right) - \frac{1}{6} \, \log\left(x^{2} - 1\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 + 1)) + 1/12*log(x^4 + x^2 + 1) - 1/6*log(x^2 - 1)","A",0
1350,1,17,0,1.008938," ","integrate(x^2/(-x^6+1),x, algorithm=""maxima"")","\frac{1}{6} \, \log\left(x^{3} + 1\right) - \frac{1}{6} \, \log\left(x^{3} - 1\right)"," ",0,"1/6*log(x^3 + 1) - 1/6*log(x^3 - 1)","B",0
1351,1,38,0,2.344759," ","integrate(x/(-x^6+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} + 1\right)}\right) + \frac{1}{12} \, \log\left(x^{4} + x^{2} + 1\right) - \frac{1}{6} \, \log\left(x^{2} - 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 + 1)) + 1/12*log(x^4 + x^2 + 1) - 1/6*log(x^2 - 1)","A",0
1352,1,65,0,2.362974," ","integrate(1/(-x^6+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{12} \, \log\left(x^{2} + x + 1\right) - \frac{1}{12} \, \log\left(x^{2} - x + 1\right) + \frac{1}{6} \, \log\left(x + 1\right) - \frac{1}{6} \, \log\left(x - 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/12*log(x^2 + x + 1) - 1/12*log(x^2 - x + 1) + 1/6*log(x + 1) - 1/6*log(x - 1)","A",0
1353,1,15,0,1.044305," ","integrate(1/x/(-x^6+1),x, algorithm=""maxima"")","-\frac{1}{6} \, \log\left(x^{6} - 1\right) + \frac{1}{6} \, \log\left(x^{6}\right)"," ",0,"-1/6*log(x^6 - 1) + 1/6*log(x^6)","A",0
1354,1,70,0,2.414786," ","integrate(1/x^2/(-x^6+1),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{x} + \frac{1}{12} \, \log\left(x^{2} + x + 1\right) - \frac{1}{12} \, \log\left(x^{2} - x + 1\right) + \frac{1}{6} \, \log\left(x + 1\right) - \frac{1}{6} \, \log\left(x - 1\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/x + 1/12*log(x^2 + x + 1) - 1/12*log(x^2 - x + 1) + 1/6*log(x + 1) - 1/6*log(x - 1)","A",0
1355,1,43,0,2.348667," ","integrate(1/x^3/(-x^6+1),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} + 1\right)}\right) - \frac{1}{2 \, x^{2}} + \frac{1}{12} \, \log\left(x^{4} + x^{2} + 1\right) - \frac{1}{6} \, \log\left(x^{2} - 1\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 + 1)) - 1/2/x^2 + 1/12*log(x^4 + x^2 + 1) - 1/6*log(x^2 - 1)","A",0
1356,1,22,0,1.126452," ","integrate(1/x^4/(-x^6+1),x, algorithm=""maxima"")","-\frac{1}{3 \, x^{3}} + \frac{1}{6} \, \log\left(x^{3} + 1\right) - \frac{1}{6} \, \log\left(x^{3} - 1\right)"," ",0,"-1/3/x^3 + 1/6*log(x^3 + 1) - 1/6*log(x^3 - 1)","A",0
1357,1,43,0,2.219882," ","integrate(1/x^5/(-x^6+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} + 1\right)}\right) - \frac{1}{4 \, x^{4}} + \frac{1}{12} \, \log\left(x^{4} + x^{2} + 1\right) - \frac{1}{6} \, \log\left(x^{2} - 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 + 1)) - 1/4/x^4 + 1/12*log(x^4 + x^2 + 1) - 1/6*log(x^2 - 1)","A",0
1358,1,70,0,2.251853," ","integrate(1/x^6/(-x^6+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{5 \, x^{5}} + \frac{1}{12} \, \log\left(x^{2} + x + 1\right) - \frac{1}{12} \, \log\left(x^{2} - x + 1\right) + \frac{1}{6} \, \log\left(x + 1\right) - \frac{1}{6} \, \log\left(x - 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/5/x^5 + 1/12*log(x^2 + x + 1) - 1/12*log(x^2 - x + 1) + 1/6*log(x + 1) - 1/6*log(x - 1)","A",0
1359,1,20,0,1.078874," ","integrate(1/x^7/(-x^6+1),x, algorithm=""maxima"")","-\frac{1}{6 \, x^{6}} - \frac{1}{6} \, \log\left(x^{6} - 1\right) + \frac{1}{6} \, \log\left(x^{6}\right)"," ",0,"-1/6/x^6 - 1/6*log(x^6 - 1) + 1/6*log(x^6)","A",0
1360,1,77,0,2.252892," ","integrate(1/x^8/(-x^6+1),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{7 \, x^{6} + 1}{7 \, x^{7}} + \frac{1}{12} \, \log\left(x^{2} + x + 1\right) - \frac{1}{12} \, \log\left(x^{2} - x + 1\right) + \frac{1}{6} \, \log\left(x + 1\right) - \frac{1}{6} \, \log\left(x - 1\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/7*(7*x^6 + 1)/x^7 + 1/12*log(x^2 + x + 1) - 1/12*log(x^2 - x + 1) + 1/6*log(x + 1) - 1/6*log(x - 1)","A",0
1361,1,12,0,2.460498," ","integrate(x^8/(x^6+1),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} - \frac{1}{3} \, \arctan\left(x^{3}\right)"," ",0,"1/3*x^3 - 1/3*arctan(x^3)","A",0
1362,1,45,0,2.297197," ","integrate(x^7/(x^6+1),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - 1\right)}\right) + \frac{1}{12} \, \log\left(x^{4} - x^{2} + 1\right) - \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"1/2*x^2 - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - 1)) + 1/12*log(x^4 - x^2 + 1) - 1/6*log(x^2 + 1)","A",0
1363,1,61,0,2.378755," ","integrate(x^6/(x^6+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \log\left(x^{2} + \sqrt{3} x + 1\right) + \frac{1}{12} \, \sqrt{3} \log\left(x^{2} - \sqrt{3} x + 1\right) + x - \frac{1}{6} \, \arctan\left(2 \, x + \sqrt{3}\right) - \frac{1}{6} \, \arctan\left(2 \, x - \sqrt{3}\right) - \frac{1}{3} \, \arctan\left(x\right)"," ",0,"-1/12*sqrt(3)*log(x^2 + sqrt(3)*x + 1) + 1/12*sqrt(3)*log(x^2 - sqrt(3)*x + 1) + x - 1/6*arctan(2*x + sqrt(3)) - 1/6*arctan(2*x - sqrt(3)) - 1/3*arctan(x)","A",0
1364,1,8,0,0.972035," ","integrate(x^5/(x^6+1),x, algorithm=""maxima"")","\frac{1}{6} \, \log\left(x^{6} + 1\right)"," ",0,"1/6*log(x^6 + 1)","A",0
1365,1,60,0,2.484637," ","integrate(x^4/(x^6+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \log\left(x^{2} + \sqrt{3} x + 1\right) + \frac{1}{12} \, \sqrt{3} \log\left(x^{2} - \sqrt{3} x + 1\right) + \frac{1}{6} \, \arctan\left(2 \, x + \sqrt{3}\right) + \frac{1}{6} \, \arctan\left(2 \, x - \sqrt{3}\right) + \frac{1}{3} \, \arctan\left(x\right)"," ",0,"-1/12*sqrt(3)*log(x^2 + sqrt(3)*x + 1) + 1/12*sqrt(3)*log(x^2 - sqrt(3)*x + 1) + 1/6*arctan(2*x + sqrt(3)) + 1/6*arctan(2*x - sqrt(3)) + 1/3*arctan(x)","A",0
1366,1,40,0,2.374034," ","integrate(x^3/(x^6+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - 1\right)}\right) + \frac{1}{12} \, \log\left(x^{4} - x^{2} + 1\right) - \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - 1)) + 1/12*log(x^4 - x^2 + 1) - 1/6*log(x^2 + 1)","A",0
1367,1,6,0,2.336792," ","integrate(x^2/(x^6+1),x, algorithm=""maxima"")","\frac{1}{3} \, \arctan\left(x^{3}\right)"," ",0,"1/3*arctan(x^3)","A",0
1368,1,40,0,2.424833," ","integrate(x/(x^6+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - 1\right)}\right) - \frac{1}{12} \, \log\left(x^{4} - x^{2} + 1\right) + \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - 1)) - 1/12*log(x^4 - x^2 + 1) + 1/6*log(x^2 + 1)","A",0
1369,1,60,0,2.322960," ","integrate(1/(x^6+1),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} \log\left(x^{2} + \sqrt{3} x + 1\right) - \frac{1}{12} \, \sqrt{3} \log\left(x^{2} - \sqrt{3} x + 1\right) + \frac{1}{6} \, \arctan\left(2 \, x + \sqrt{3}\right) + \frac{1}{6} \, \arctan\left(2 \, x - \sqrt{3}\right) + \frac{1}{3} \, \arctan\left(x\right)"," ",0,"1/12*sqrt(3)*log(x^2 + sqrt(3)*x + 1) - 1/12*sqrt(3)*log(x^2 - sqrt(3)*x + 1) + 1/6*arctan(2*x + sqrt(3)) + 1/6*arctan(2*x - sqrt(3)) + 1/3*arctan(x)","A",0
1370,1,15,0,1.031776," ","integrate(1/x/(x^6+1),x, algorithm=""maxima"")","-\frac{1}{6} \, \log\left(x^{6} + 1\right) + \frac{1}{6} \, \log\left(x^{6}\right)"," ",0,"-1/6*log(x^6 + 1) + 1/6*log(x^6)","A",0
1371,1,65,0,2.412445," ","integrate(1/x^2/(x^6+1),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} \log\left(x^{2} + \sqrt{3} x + 1\right) - \frac{1}{12} \, \sqrt{3} \log\left(x^{2} - \sqrt{3} x + 1\right) - \frac{1}{x} - \frac{1}{6} \, \arctan\left(2 \, x + \sqrt{3}\right) - \frac{1}{6} \, \arctan\left(2 \, x - \sqrt{3}\right) - \frac{1}{3} \, \arctan\left(x\right)"," ",0,"1/12*sqrt(3)*log(x^2 + sqrt(3)*x + 1) - 1/12*sqrt(3)*log(x^2 - sqrt(3)*x + 1) - 1/x - 1/6*arctan(2*x + sqrt(3)) - 1/6*arctan(2*x - sqrt(3)) - 1/3*arctan(x)","A",0
1372,1,45,0,2.358119," ","integrate(1/x^3/(x^6+1),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - 1\right)}\right) - \frac{1}{2 \, x^{2}} - \frac{1}{12} \, \log\left(x^{4} - x^{2} + 1\right) + \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - 1)) - 1/2/x^2 - 1/12*log(x^4 - x^2 + 1) + 1/6*log(x^2 + 1)","A",0
1373,1,12,0,2.355034," ","integrate(1/x^4/(x^6+1),x, algorithm=""maxima"")","-\frac{1}{3 \, x^{3}} - \frac{1}{3} \, \arctan\left(x^{3}\right)"," ",0,"-1/3/x^3 - 1/3*arctan(x^3)","A",0
1374,1,45,0,2.334390," ","integrate(1/x^5/(x^6+1),x, algorithm=""maxima"")","-\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - 1\right)}\right) - \frac{1}{4 \, x^{4}} + \frac{1}{12} \, \log\left(x^{4} - x^{2} + 1\right) - \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - 1)) - 1/4/x^4 + 1/12*log(x^4 - x^2 + 1) - 1/6*log(x^2 + 1)","A",0
1375,1,65,0,2.350867," ","integrate(1/x^6/(x^6+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \log\left(x^{2} + \sqrt{3} x + 1\right) + \frac{1}{12} \, \sqrt{3} \log\left(x^{2} - \sqrt{3} x + 1\right) - \frac{1}{5 \, x^{5}} - \frac{1}{6} \, \arctan\left(2 \, x + \sqrt{3}\right) - \frac{1}{6} \, \arctan\left(2 \, x - \sqrt{3}\right) - \frac{1}{3} \, \arctan\left(x\right)"," ",0,"-1/12*sqrt(3)*log(x^2 + sqrt(3)*x + 1) + 1/12*sqrt(3)*log(x^2 - sqrt(3)*x + 1) - 1/5/x^5 - 1/6*arctan(2*x + sqrt(3)) - 1/6*arctan(2*x - sqrt(3)) - 1/3*arctan(x)","A",0
1376,1,20,0,0.978779," ","integrate(1/x^7/(x^6+1),x, algorithm=""maxima"")","-\frac{1}{6 \, x^{6}} + \frac{1}{6} \, \log\left(x^{6} + 1\right) - \frac{1}{6} \, \log\left(x^{6}\right)"," ",0,"-1/6/x^6 + 1/6*log(x^6 + 1) - 1/6*log(x^6)","A",0
1377,1,72,0,2.392803," ","integrate(1/x^8/(x^6+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \log\left(x^{2} + \sqrt{3} x + 1\right) + \frac{1}{12} \, \sqrt{3} \log\left(x^{2} - \sqrt{3} x + 1\right) + \frac{7 \, x^{6} - 1}{7 \, x^{7}} + \frac{1}{6} \, \arctan\left(2 \, x + \sqrt{3}\right) + \frac{1}{6} \, \arctan\left(2 \, x - \sqrt{3}\right) + \frac{1}{3} \, \arctan\left(x\right)"," ",0,"-1/12*sqrt(3)*log(x^2 + sqrt(3)*x + 1) + 1/12*sqrt(3)*log(x^2 - sqrt(3)*x + 1) + 1/7*(7*x^6 - 1)/x^7 + 1/6*arctan(2*x + sqrt(3)) + 1/6*arctan(2*x - sqrt(3)) + 1/3*arctan(x)","A",0
1378,1,224,0,2.340606," ","integrate(1/(-3*x^6+2),x, algorithm=""maxima"")","\frac{1}{12} \cdot 3^{\frac{2}{3}} 2^{\frac{1}{6}} \left(\frac{1}{3}\right)^{\frac{1}{3}} \arctan\left(\frac{1}{2} \cdot 3^{\frac{1}{3}} 2^{\frac{5}{6}} \left(\frac{1}{3}\right)^{\frac{2}{3}} {\left(2 \, x + \left(\frac{1}{3}\right)^{\frac{1}{3}} \left(\sqrt{3} \sqrt{2}\right)^{\frac{1}{3}}\right)}\right) + \frac{1}{12} \cdot 3^{\frac{2}{3}} 2^{\frac{1}{6}} \left(\frac{1}{3}\right)^{\frac{1}{3}} \arctan\left(\frac{1}{2} \cdot 3^{\frac{1}{3}} 2^{\frac{5}{6}} \left(\frac{1}{3}\right)^{\frac{2}{3}} {\left(2 \, x - \left(\frac{1}{3}\right)^{\frac{1}{3}} \left(\sqrt{3} \sqrt{2}\right)^{\frac{1}{3}}\right)}\right) + \frac{1}{24} \cdot 3^{\frac{1}{6}} 2^{\frac{1}{6}} \left(\frac{1}{3}\right)^{\frac{1}{3}} \log\left(x^{2} + \left(\frac{1}{3}\right)^{\frac{1}{3}} \left(\sqrt{3} \sqrt{2}\right)^{\frac{1}{3}} x + \left(\frac{1}{3}\right)^{\frac{2}{3}} \left(\sqrt{3} \sqrt{2}\right)^{\frac{2}{3}}\right) - \frac{1}{24} \cdot 3^{\frac{1}{6}} 2^{\frac{1}{6}} \left(\frac{1}{3}\right)^{\frac{1}{3}} \log\left(x^{2} - \left(\frac{1}{3}\right)^{\frac{1}{3}} \left(\sqrt{3} \sqrt{2}\right)^{\frac{1}{3}} x + \left(\frac{1}{3}\right)^{\frac{2}{3}} \left(\sqrt{3} \sqrt{2}\right)^{\frac{2}{3}}\right) + \frac{1}{12} \cdot 3^{\frac{1}{6}} 2^{\frac{1}{6}} \left(\frac{1}{3}\right)^{\frac{1}{3}} \log\left(x + \left(\frac{1}{3}\right)^{\frac{1}{3}} \left(\sqrt{3} \sqrt{2}\right)^{\frac{1}{3}}\right) - \frac{1}{12} \cdot 3^{\frac{1}{6}} 2^{\frac{1}{6}} \left(\frac{1}{3}\right)^{\frac{1}{3}} \log\left(x - \left(\frac{1}{3}\right)^{\frac{1}{3}} \left(\sqrt{3} \sqrt{2}\right)^{\frac{1}{3}}\right)"," ",0,"1/12*3^(2/3)*2^(1/6)*(1/3)^(1/3)*arctan(1/2*3^(1/3)*2^(5/6)*(1/3)^(2/3)*(2*x + (1/3)^(1/3)*(sqrt(3)*sqrt(2))^(1/3))) + 1/12*3^(2/3)*2^(1/6)*(1/3)^(1/3)*arctan(1/2*3^(1/3)*2^(5/6)*(1/3)^(2/3)*(2*x - (1/3)^(1/3)*(sqrt(3)*sqrt(2))^(1/3))) + 1/24*3^(1/6)*2^(1/6)*(1/3)^(1/3)*log(x^2 + (1/3)^(1/3)*(sqrt(3)*sqrt(2))^(1/3)*x + (1/3)^(2/3)*(sqrt(3)*sqrt(2))^(2/3)) - 1/24*3^(1/6)*2^(1/6)*(1/3)^(1/3)*log(x^2 - (1/3)^(1/3)*(sqrt(3)*sqrt(2))^(1/3)*x + (1/3)^(2/3)*(sqrt(3)*sqrt(2))^(2/3)) + 1/12*3^(1/6)*2^(1/6)*(1/3)^(1/3)*log(x + (1/3)^(1/3)*(sqrt(3)*sqrt(2))^(1/3)) - 1/12*3^(1/6)*2^(1/6)*(1/3)^(1/3)*log(x - (1/3)^(1/3)*(sqrt(3)*sqrt(2))^(1/3))","A",0
1379,0,0,0,0.000000," ","integrate(x^(1/3)/(-x^6+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{\frac{1}{3}} + 1\right)}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{\frac{1}{3}} - 1\right)}\right) + \int \frac{x^{\frac{4}{3}} + 2 \, x^{\frac{1}{3}}}{6 \, {\left(x^{2} + x + 1\right)}}\,{d x} - \int \frac{x^{\frac{4}{3}} - 2 \, x^{\frac{1}{3}}}{6 \, {\left(x^{2} - x + 1\right)}}\,{d x} + \frac{1}{12} \, \log\left(x^{\frac{2}{3}} + x^{\frac{1}{3}} + 1\right) + \frac{1}{12} \, \log\left(x^{\frac{2}{3}} - x^{\frac{1}{3}} + 1\right) - \frac{1}{6} \, \log\left(x^{\frac{1}{3}} + 1\right) - \frac{1}{6} \, \log\left(x^{\frac{1}{3}} - 1\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) + 1)) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/3) - 1)) + integrate(1/6*(x^(4/3) + 2*x^(1/3))/(x^2 + x + 1), x) - integrate(1/6*(x^(4/3) - 2*x^(1/3))/(x^2 - x + 1), x) + 1/12*log(x^(2/3) + x^(1/3) + 1) + 1/12*log(x^(2/3) - x^(1/3) + 1) - 1/6*log(x^(1/3) + 1) - 1/6*log(x^(1/3) - 1)","F",0
1380,1,97,0,1.059015," ","integrate(x^8*(4*x^6-1)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{4 \, \sqrt{4 \, x^{6} - 1}}{x^{3}} + \frac{{\left(4 \, x^{6} - 1\right)}^{\frac{3}{2}}}{x^{9}}}{96 \, {\left(\frac{8 \, {\left(4 \, x^{6} - 1\right)}}{x^{6}} - \frac{{\left(4 \, x^{6} - 1\right)}^{2}}{x^{12}} - 16\right)}} - \frac{1}{384} \, \log\left(\frac{\sqrt{4 \, x^{6} - 1}}{x^{3}} + 2\right) + \frac{1}{384} \, \log\left(\frac{\sqrt{4 \, x^{6} - 1}}{x^{3}} - 2\right)"," ",0,"-1/96*(4*sqrt(4*x^6 - 1)/x^3 + (4*x^6 - 1)^(3/2)/x^9)/(8*(4*x^6 - 1)/x^6 - (4*x^6 - 1)^2/x^12 - 16) - 1/384*log(sqrt(4*x^6 - 1)/x^3 + 2) + 1/384*log(sqrt(4*x^6 - 1)/x^3 - 2)","B",0
1381,1,13,0,1.136784," ","integrate(x^5*(a^6-x^6)^(1/2),x, algorithm=""maxima"")","-\frac{1}{9} \, {\left(a^{6} - x^{6}\right)}^{\frac{3}{2}}"," ",0,"-1/9*(a^6 - x^6)^(3/2)","A",0
1382,1,58,0,0.987080," ","integrate(x^2*(x^6-2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{6} - 2}}{3 \, x^{3} {\left(\frac{x^{6} - 2}{x^{6}} - 1\right)}} - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 2}}{x^{3}} + 1\right) + \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} - 2}}{x^{3}} - 1\right)"," ",0,"-1/3*sqrt(x^6 - 2)/(x^3*((x^6 - 2)/x^6 - 1)) - 1/6*log(sqrt(x^6 - 2)/x^3 + 1) + 1/6*log(sqrt(x^6 - 2)/x^3 - 1)","B",0
1383,1,37,0,1.013445," ","integrate(x^23/(x^6+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{21} \, {\left(x^{6} + 2\right)}^{\frac{7}{2}} - \frac{2}{5} \, {\left(x^{6} + 2\right)}^{\frac{5}{2}} + \frac{4}{3} \, {\left(x^{6} + 2\right)}^{\frac{3}{2}} - \frac{8}{3} \, \sqrt{x^{6} + 2}"," ",0,"1/21*(x^6 + 2)^(7/2) - 2/5*(x^6 + 2)^(5/2) + 4/3*(x^6 + 2)^(3/2) - 8/3*sqrt(x^6 + 2)","A",0
1384,1,28,0,0.981085," ","integrate(x^17/(x^6+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{15} \, {\left(x^{6} + 2\right)}^{\frac{5}{2}} - \frac{4}{9} \, {\left(x^{6} + 2\right)}^{\frac{3}{2}} + \frac{4}{3} \, \sqrt{x^{6} + 2}"," ",0,"1/15*(x^6 + 2)^(5/2) - 4/9*(x^6 + 2)^(3/2) + 4/3*sqrt(x^6 + 2)","A",0
1385,1,19,0,0.994447," ","integrate(x^11/(x^6+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{9} \, {\left(x^{6} + 2\right)}^{\frac{3}{2}} - \frac{2}{3} \, \sqrt{x^{6} + 2}"," ",0,"1/9*(x^6 + 2)^(3/2) - 2/3*sqrt(x^6 + 2)","A",0
1386,1,9,0,1.114874," ","integrate(x^5/(x^6+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{x^{6} + 2}"," ",0,"1/3*sqrt(x^6 + 2)","A",0
1387,1,34,0,2.366063," ","integrate(1/x/(x^6+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \sqrt{x^{6} + 2}}{\sqrt{2} + \sqrt{x^{6} + 2}}\right)"," ",0,"1/12*sqrt(2)*log(-(sqrt(2) - sqrt(x^6 + 2))/(sqrt(2) + sqrt(x^6 + 2)))","A",0
1388,1,47,0,2.437995," ","integrate(1/x^7/(x^6+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{48} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \sqrt{x^{6} + 2}}{\sqrt{2} + \sqrt{x^{6} + 2}}\right) - \frac{\sqrt{x^{6} + 2}}{12 \, x^{6}}"," ",0,"-1/48*sqrt(2)*log(-(sqrt(2) - sqrt(x^6 + 2))/(sqrt(2) + sqrt(x^6 + 2))) - 1/12*sqrt(x^6 + 2)/x^6","A",0
1389,1,74,0,2.302478," ","integrate(1/x^13/(x^6+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{128} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \sqrt{x^{6} + 2}}{\sqrt{2} + \sqrt{x^{6} + 2}}\right) - \frac{3 \, {\left(x^{6} + 2\right)}^{\frac{3}{2}} - 10 \, \sqrt{x^{6} + 2}}{96 \, {\left(4 \, x^{6} - {\left(x^{6} + 2\right)}^{2} + 4\right)}}"," ",0,"1/128*sqrt(2)*log(-(sqrt(2) - sqrt(x^6 + 2))/(sqrt(2) + sqrt(x^6 + 2))) - 1/96*(3*(x^6 + 2)^(3/2) - 10*sqrt(x^6 + 2))/(4*x^6 - (x^6 + 2)^2 + 4)","A",0
1390,1,86,0,1.004369," ","integrate(x^14/(x^6+2)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{5 \, \sqrt{x^{6} + 2}}{x^{3}} - \frac{3 \, {\left(x^{6} + 2\right)}^{\frac{3}{2}}}{x^{9}}}{6 \, {\left(\frac{2 \, {\left(x^{6} + 2\right)}}{x^{6}} - \frac{{\left(x^{6} + 2\right)}^{2}}{x^{12}} - 1\right)}} + \frac{1}{4} \, \log\left(\frac{\sqrt{x^{6} + 2}}{x^{3}} + 1\right) - \frac{1}{4} \, \log\left(\frac{\sqrt{x^{6} + 2}}{x^{3}} - 1\right)"," ",0,"-1/6*(5*sqrt(x^6 + 2)/x^3 - 3*(x^6 + 2)^(3/2)/x^9)/(2*(x^6 + 2)/x^6 - (x^6 + 2)^2/x^12 - 1) + 1/4*log(sqrt(x^6 + 2)/x^3 + 1) - 1/4*log(sqrt(x^6 + 2)/x^3 - 1)","B",0
1391,1,58,0,0.992739," ","integrate(x^8/(x^6+2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{6} + 2}}{3 \, x^{3} {\left(\frac{x^{6} + 2}{x^{6}} - 1\right)}} - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} + 2}}{x^{3}} + 1\right) + \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} + 2}}{x^{3}} - 1\right)"," ",0,"1/3*sqrt(x^6 + 2)/(x^3*((x^6 + 2)/x^6 - 1)) - 1/6*log(sqrt(x^6 + 2)/x^3 + 1) + 1/6*log(sqrt(x^6 + 2)/x^3 - 1)","B",0
1392,1,33,0,1.045675," ","integrate(x^2/(x^6+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} + 2}}{x^{3}} + 1\right) - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} + 2}}{x^{3}} - 1\right)"," ",0,"1/6*log(sqrt(x^6 + 2)/x^3 + 1) - 1/6*log(sqrt(x^6 + 2)/x^3 - 1)","B",0
1393,1,12,0,0.920211," ","integrate(1/x^4/(x^6+2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{6} + 2}}{6 \, x^{3}}"," ",0,"-1/6*sqrt(x^6 + 2)/x^3","A",0
1394,1,25,0,0.988823," ","integrate(1/x^10/(x^6+2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{6} + 2}}{12 \, x^{3}} - \frac{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}{36 \, x^{9}}"," ",0,"1/12*sqrt(x^6 + 2)/x^3 - 1/36*(x^6 + 2)^(3/2)/x^9","A",0
1395,1,37,0,1.025889," ","integrate(1/x^16/(x^6+2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{6} + 2}}{24 \, x^{3}} + \frac{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}{36 \, x^{9}} - \frac{{\left(x^{6} + 2\right)}^{\frac{5}{2}}}{120 \, x^{15}}"," ",0,"-1/24*sqrt(x^6 + 2)/x^3 + 1/36*(x^6 + 2)^(3/2)/x^9 - 1/120*(x^6 + 2)^(5/2)/x^15","A",0
1396,0,0,0,0.000000," ","integrate(x^7/(x^6+2)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{7}}{\sqrt{x^{6} + 2}}\,{d x}"," ",0,"integrate(x^7/sqrt(x^6 + 2), x)","F",0
1397,0,0,0,0.000000," ","integrate(x/(x^6+2)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{6} + 2}}\,{d x}"," ",0,"integrate(x/sqrt(x^6 + 2), x)","F",0
1398,0,0,0,0.000000," ","integrate(1/x^5/(x^6+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{6} + 2} x^{5}}\,{d x}"," ",0,"integrate(1/(sqrt(x^6 + 2)*x^5), x)","F",0
1399,0,0,0,0.000000," ","integrate(x^6/(x^6+2)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{x^{6} + 2}}\,{d x}"," ",0,"integrate(x^6/sqrt(x^6 + 2), x)","F",0
1400,0,0,0,0.000000," ","integrate(1/(x^6+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{6} + 2}}\,{d x}"," ",0,"integrate(1/sqrt(x^6 + 2), x)","F",0
1401,0,0,0,0.000000," ","integrate(1/x^6/(x^6+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{6} + 2} x^{6}}\,{d x}"," ",0,"integrate(1/(sqrt(x^6 + 2)*x^6), x)","F",0
1402,0,0,0,0.000000," ","integrate(x^9/(x^6+2)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{9}}{\sqrt{x^{6} + 2}}\,{d x}"," ",0,"integrate(x^9/sqrt(x^6 + 2), x)","F",0
1403,0,0,0,0.000000," ","integrate(x^3/(x^6+2)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{x^{6} + 2}}\,{d x}"," ",0,"integrate(x^3/sqrt(x^6 + 2), x)","F",0
1404,0,0,0,0.000000," ","integrate(1/x^3/(x^6+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{6} + 2} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(x^6 + 2)*x^3), x)","F",0
1405,0,0,0,0.000000," ","integrate(x^10/(x^6+2)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{10}}{\sqrt{x^{6} + 2}}\,{d x}"," ",0,"integrate(x^10/sqrt(x^6 + 2), x)","F",0
1406,0,0,0,0.000000," ","integrate(x^4/(x^6+2)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{x^{6} + 2}}\,{d x}"," ",0,"integrate(x^4/sqrt(x^6 + 2), x)","F",0
1407,0,0,0,0.000000," ","integrate(1/x^2/(x^6+2)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{6} + 2} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x^6 + 2)*x^2), x)","F",0
1408,1,37,0,1.019708," ","integrate(x^23/(x^6+2)^(3/2),x, algorithm=""maxima"")","\frac{1}{15} \, {\left(x^{6} + 2\right)}^{\frac{5}{2}} - \frac{2}{3} \, {\left(x^{6} + 2\right)}^{\frac{3}{2}} + 4 \, \sqrt{x^{6} + 2} + \frac{8}{3 \, \sqrt{x^{6} + 2}}"," ",0,"1/15*(x^6 + 2)^(5/2) - 2/3*(x^6 + 2)^(3/2) + 4*sqrt(x^6 + 2) + 8/3/sqrt(x^6 + 2)","A",0
1409,1,28,0,0.980955," ","integrate(x^17/(x^6+2)^(3/2),x, algorithm=""maxima"")","\frac{1}{9} \, {\left(x^{6} + 2\right)}^{\frac{3}{2}} - \frac{4}{3} \, \sqrt{x^{6} + 2} - \frac{4}{3 \, \sqrt{x^{6} + 2}}"," ",0,"1/9*(x^6 + 2)^(3/2) - 4/3*sqrt(x^6 + 2) - 4/3/sqrt(x^6 + 2)","A",0
1410,1,19,0,1.028871," ","integrate(x^11/(x^6+2)^(3/2),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{x^{6} + 2} + \frac{2}{3 \, \sqrt{x^{6} + 2}}"," ",0,"1/3*sqrt(x^6 + 2) + 2/3/sqrt(x^6 + 2)","A",0
1411,1,9,0,1.043634," ","integrate(x^5/(x^6+2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{3 \, \sqrt{x^{6} + 2}}"," ",0,"-1/3/sqrt(x^6 + 2)","A",0
1412,1,44,0,2.347474," ","integrate(1/x/(x^6+2)^(3/2),x, algorithm=""maxima"")","\frac{1}{24} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \sqrt{x^{6} + 2}}{\sqrt{2} + \sqrt{x^{6} + 2}}\right) + \frac{1}{6 \, \sqrt{x^{6} + 2}}"," ",0,"1/24*sqrt(2)*log(-(sqrt(2) - sqrt(x^6 + 2))/(sqrt(2) + sqrt(x^6 + 2))) + 1/6/sqrt(x^6 + 2)","A",0
1413,1,63,0,2.388899," ","integrate(1/x^7/(x^6+2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{32} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \sqrt{x^{6} + 2}}{\sqrt{2} + \sqrt{x^{6} + 2}}\right) - \frac{3 \, x^{6} + 2}{24 \, {\left({\left(x^{6} + 2\right)}^{\frac{3}{2}} - 2 \, \sqrt{x^{6} + 2}\right)}}"," ",0,"-1/32*sqrt(2)*log(-(sqrt(2) - sqrt(x^6 + 2))/(sqrt(2) + sqrt(x^6 + 2))) - 1/24*(3*x^6 + 2)/((x^6 + 2)^(3/2) - 2*sqrt(x^6 + 2))","A",0
1414,1,81,0,2.271167," ","integrate(1/x^13/(x^6+2)^(3/2),x, algorithm=""maxima"")","\frac{5}{256} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \sqrt{x^{6} + 2}}{\sqrt{2} + \sqrt{x^{6} + 2}}\right) - \frac{50 \, x^{6} - 15 \, {\left(x^{6} + 2\right)}^{2} + 68}{192 \, {\left({\left(x^{6} + 2\right)}^{\frac{5}{2}} - 4 \, {\left(x^{6} + 2\right)}^{\frac{3}{2}} + 4 \, \sqrt{x^{6} + 2}\right)}}"," ",0,"5/256*sqrt(2)*log(-(sqrt(2) - sqrt(x^6 + 2))/(sqrt(2) + sqrt(x^6 + 2))) - 1/192*(50*x^6 - 15*(x^6 + 2)^2 + 68)/((x^6 + 2)^(5/2) - 4*(x^6 + 2)^(3/2) + 4*sqrt(x^6 + 2))","A",0
1415,1,73,0,1.005356," ","integrate(x^14/(x^6+2)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{3 \, {\left(x^{6} + 2\right)}}{x^{6}} - 2}{3 \, {\left(\frac{\sqrt{x^{6} + 2}}{x^{3}} - \frac{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}{x^{9}}\right)}} - \frac{1}{2} \, \log\left(\frac{\sqrt{x^{6} + 2}}{x^{3}} + 1\right) + \frac{1}{2} \, \log\left(\frac{\sqrt{x^{6} + 2}}{x^{3}} - 1\right)"," ",0,"-1/3*(3*(x^6 + 2)/x^6 - 2)/(sqrt(x^6 + 2)/x^3 - (x^6 + 2)^(3/2)/x^9) - 1/2*log(sqrt(x^6 + 2)/x^3 + 1) + 1/2*log(sqrt(x^6 + 2)/x^3 - 1)","B",0
1416,1,45,0,0.998663," ","integrate(x^8/(x^6+2)^(3/2),x, algorithm=""maxima"")","-\frac{x^{3}}{3 \, \sqrt{x^{6} + 2}} + \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} + 2}}{x^{3}} + 1\right) - \frac{1}{6} \, \log\left(\frac{\sqrt{x^{6} + 2}}{x^{3}} - 1\right)"," ",0,"-1/3*x^3/sqrt(x^6 + 2) + 1/6*log(sqrt(x^6 + 2)/x^3 + 1) - 1/6*log(sqrt(x^6 + 2)/x^3 - 1)","A",0
1417,1,12,0,1.077785," ","integrate(x^2/(x^6+2)^(3/2),x, algorithm=""maxima"")","\frac{x^{3}}{6 \, \sqrt{x^{6} + 2}}"," ",0,"1/6*x^3/sqrt(x^6 + 2)","A",0
1418,1,25,0,1.030345," ","integrate(1/x^4/(x^6+2)^(3/2),x, algorithm=""maxima"")","-\frac{x^{3}}{12 \, \sqrt{x^{6} + 2}} - \frac{\sqrt{x^{6} + 2}}{12 \, x^{3}}"," ",0,"-1/12*x^3/sqrt(x^6 + 2) - 1/12*sqrt(x^6 + 2)/x^3","A",0
1419,1,37,0,1.112642," ","integrate(1/x^10/(x^6+2)^(3/2),x, algorithm=""maxima"")","\frac{x^{3}}{24 \, \sqrt{x^{6} + 2}} + \frac{\sqrt{x^{6} + 2}}{12 \, x^{3}} - \frac{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}{72 \, x^{9}}"," ",0,"1/24*x^3/sqrt(x^6 + 2) + 1/12*sqrt(x^6 + 2)/x^3 - 1/72*(x^6 + 2)^(3/2)/x^9","A",0
1420,0,0,0,0.000000," ","integrate(x^13/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{13}}{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^13/(x^6 + 2)^(3/2), x)","F",0
1421,0,0,0,0.000000," ","integrate(x^7/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{7}}{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^7/(x^6 + 2)^(3/2), x)","F",0
1422,0,0,0,0.000000," ","integrate(x/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(x^6 + 2)^(3/2), x)","F",0
1423,0,0,0,0.000000," ","integrate(1/x^5/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{6} + 2\right)}^{\frac{3}{2}} x^{5}}\,{d x}"," ",0,"integrate(1/((x^6 + 2)^(3/2)*x^5), x)","F",0
1424,0,0,0,0.000000," ","integrate(x^12/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{12}}{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^12/(x^6 + 2)^(3/2), x)","F",0
1425,0,0,0,0.000000," ","integrate(x^6/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^6/(x^6 + 2)^(3/2), x)","F",0
1426,0,0,0,0.000000," ","integrate(1/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((x^6 + 2)^(-3/2), x)","F",0
1427,0,0,0,0.000000," ","integrate(1/x^6/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{6} + 2\right)}^{\frac{3}{2}} x^{6}}\,{d x}"," ",0,"integrate(1/((x^6 + 2)^(3/2)*x^6), x)","F",0
1428,0,0,0,0.000000," ","integrate(x^15/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{15}}{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^15/(x^6 + 2)^(3/2), x)","F",0
1429,0,0,0,0.000000," ","integrate(x^9/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{9}}{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^9/(x^6 + 2)^(3/2), x)","F",0
1430,0,0,0,0.000000," ","integrate(x^3/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/(x^6 + 2)^(3/2), x)","F",0
1431,0,0,0,0.000000," ","integrate(1/x^3/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{6} + 2\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate(1/((x^6 + 2)^(3/2)*x^3), x)","F",0
1432,0,0,0,0.000000," ","integrate(x^10/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{10}}{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^10/(x^6 + 2)^(3/2), x)","F",0
1433,0,0,0,0.000000," ","integrate(x^4/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(x^{6} + 2\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^4/(x^6 + 2)^(3/2), x)","F",0
1434,0,0,0,0.000000," ","integrate(1/x^2/(x^6+2)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(x^{6} + 2\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((x^6 + 2)^(3/2)*x^2), x)","F",0
1435,1,25,0,1.019001," ","integrate(x^m*(b*x^7+a),x, algorithm=""maxima"")","\frac{b x^{m + 8}}{m + 8} + \frac{a x^{m + 1}}{m + 1}"," ",0,"b*x^(m + 8)/(m + 8) + a*x^(m + 1)/(m + 1)","A",0
1436,1,13,0,0.961064," ","integrate(x^8*(b*x^7+a),x, algorithm=""maxima"")","\frac{1}{16} \, b x^{16} + \frac{1}{9} \, a x^{9}"," ",0,"1/16*b*x^16 + 1/9*a*x^9","A",0
1437,1,14,0,1.017164," ","integrate((b*x^7+a)/x^8,x, algorithm=""maxima"")","\frac{1}{7} \, b \log\left(x^{7}\right) - \frac{a}{7 \, x^{7}}"," ",0,"1/7*b*log(x^7) - 1/7*a/x^7","A",0
1438,1,43,0,1.115516," ","integrate(x^m*(b*x^7+a)^2,x, algorithm=""maxima"")","\frac{b^{2} x^{m + 15}}{m + 15} + \frac{2 \, a b x^{m + 8}}{m + 8} + \frac{a^{2} x^{m + 1}}{m + 1}"," ",0,"b^2*x^(m + 15)/(m + 15) + 2*a*b*x^(m + 8)/(m + 8) + a^2*x^(m + 1)/(m + 1)","A",0
1439,1,24,0,0.941214," ","integrate(x^8*(b*x^7+a)^2,x, algorithm=""maxima"")","\frac{1}{23} \, b^{2} x^{23} + \frac{1}{8} \, a b x^{16} + \frac{1}{9} \, a^{2} x^{9}"," ",0,"1/23*b^2*x^23 + 1/8*a*b*x^16 + 1/9*a^2*x^9","A",0
1440,1,25,0,1.060654," ","integrate((b*x^7+a)^2/x^8,x, algorithm=""maxima"")","\frac{1}{7} \, b^{2} x^{7} + \frac{2}{7} \, a b \log\left(x^{7}\right) - \frac{a^{2}}{7 \, x^{7}}"," ",0,"1/7*b^2*x^7 + 2/7*a*b*log(x^7) - 1/7*a^2/x^7","A",0
1441,0,0,0,0.000000," ","integrate(x^m/(b*x^7+a),x, algorithm=""maxima"")","\int \frac{x^{m}}{b x^{7} + a}\,{d x}"," ",0,"integrate(x^m/(b*x^7 + a), x)","F",0
1442,1,13,0,1.006617," ","integrate(x^6/(b*x^7+a),x, algorithm=""maxima"")","\frac{\log\left(b x^{7} + a\right)}{7 \, b}"," ",0,"1/7*log(b*x^7 + a)/b","A",0
1443,0,0,0,0.000000," ","integrate(1/(b*x^7+a),x, algorithm=""maxima"")","\int \frac{1}{b x^{7} + a}\,{d x}"," ",0,"integrate(1/(b*x^7 + a), x)","F",0
1444,1,23,0,1.066687," ","integrate(1/x/(b*x^7+a),x, algorithm=""maxima"")","-\frac{\log\left(b x^{7} + a\right)}{7 \, a} + \frac{\log\left(x^{7}\right)}{7 \, a}"," ",0,"-1/7*log(b*x^7 + a)/a + 1/7*log(x^7)/a","A",0
1445,0,0,0,0.000000," ","integrate(x^m/(-b*x^7+a),x, algorithm=""maxima"")","-\int \frac{x^{m}}{b x^{7} - a}\,{d x}"," ",0,"-integrate(x^m/(b*x^7 - a), x)","F",0
1446,1,15,0,0.982480," ","integrate(x^6/(-b*x^7+a),x, algorithm=""maxima"")","-\frac{\log\left(b x^{7} - a\right)}{7 \, b}"," ",0,"-1/7*log(b*x^7 - a)/b","A",0
1447,0,0,0,0.000000," ","integrate(1/(-b*x^7+a),x, algorithm=""maxima"")","-\int \frac{1}{b x^{7} - a}\,{d x}"," ",0,"-integrate(1/(b*x^7 - a), x)","F",0
1448,1,25,0,1.012977," ","integrate(1/x/(-b*x^7+a),x, algorithm=""maxima"")","-\frac{\log\left(b x^{7} - a\right)}{7 \, a} + \frac{\log\left(x^{7}\right)}{7 \, a}"," ",0,"-1/7*log(b*x^7 - a)/a + 1/7*log(x^7)/a","A",0
1449,0,0,0,0.000000," ","integrate(1/(-x^7+1),x, algorithm=""maxima"")","\frac{1}{7} \, \int \frac{x^{5} + 2 \, x^{4} + 3 \, x^{3} + 4 \, x^{2} + 5 \, x + 6}{x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1}\,{d x} - \frac{1}{7} \, \log\left(x - 1\right)"," ",0,"1/7*integrate((x^5 + 2*x^4 + 3*x^3 + 4*x^2 + 5*x + 6)/(x^6 + x^5 + x^4 + x^3 + x^2 + x + 1), x) - 1/7*log(x - 1)","F",0
1450,0,0,0,0.000000," ","integrate(1/(x^7+1),x, algorithm=""maxima"")","-\frac{1}{7} \, \int \frac{x^{5} - 2 \, x^{4} + 3 \, x^{3} - 4 \, x^{2} + 5 \, x - 6}{x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1}\,{d x} + \frac{1}{7} \, \log\left(x + 1\right)"," ",0,"-1/7*integrate((x^5 - 2*x^4 + 3*x^3 - 4*x^2 + 5*x - 6)/(x^6 - x^5 + x^4 - x^3 + x^2 - x + 1), x) + 1/7*log(x + 1)","F",0
1451,1,190,0,2.369120," ","integrate(x^9/(b*x^8+a),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, b} - \frac{\frac{2 \, \sqrt{2} \sqrt{a} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} \sqrt{a} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} a^{\frac{1}{4}} \log\left(\sqrt{b} x^{4} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x^{2} + \sqrt{a}\right)}{b^{\frac{1}{4}}} - \frac{\sqrt{2} a^{\frac{1}{4}} \log\left(\sqrt{b} x^{4} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x^{2} + \sqrt{a}\right)}{b^{\frac{1}{4}}}}{16 \, b}"," ",0,"1/2*x^2/b - 1/16*(2*sqrt(2)*sqrt(a)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + 2*sqrt(2)*sqrt(a)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + sqrt(2)*a^(1/4)*log(sqrt(b)*x^4 + sqrt(2)*a^(1/4)*b^(1/4)*x^2 + sqrt(a))/b^(1/4) - sqrt(2)*a^(1/4)*log(sqrt(b)*x^4 - sqrt(2)*a^(1/4)*b^(1/4)*x^2 + sqrt(a))/b^(1/4))/b","A",0
1452,1,13,0,1.003917," ","integrate(x^7/(b*x^8+a),x, algorithm=""maxima"")","\frac{\log\left(b x^{8} + a\right)}{8 \, b}"," ",0,"1/8*log(b*x^8 + a)/b","A",0
1453,1,177,0,2.280757," ","integrate(x^5/(b*x^8+a),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{8 \, \sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{8 \, \sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{b} x^{4} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x^{2} + \sqrt{a}\right)}{16 \, a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{b} x^{4} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x^{2} + \sqrt{a}\right)}{16 \, a^{\frac{1}{4}} b^{\frac{3}{4}}}"," ",0,"1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - 1/16*sqrt(2)*log(sqrt(b)*x^4 + sqrt(2)*a^(1/4)*b^(1/4)*x^2 + sqrt(a))/(a^(1/4)*b^(3/4)) + 1/16*sqrt(2)*log(sqrt(b)*x^4 - sqrt(2)*a^(1/4)*b^(1/4)*x^2 + sqrt(a))/(a^(1/4)*b^(3/4))","A",0
1454,1,18,0,2.338122," ","integrate(x^3/(b*x^8+a),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{b x^{4}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b}}"," ",0,"1/4*arctan(b*x^4/sqrt(a*b))/sqrt(a*b)","A",0
1455,1,177,0,2.338089," ","integrate(x/(b*x^8+a),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{8 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{8 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} \log\left(\sqrt{b} x^{4} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x^{2} + \sqrt{a}\right)}{16 \, a^{\frac{3}{4}} b^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{b} x^{4} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x^{2} + \sqrt{a}\right)}{16 \, a^{\frac{3}{4}} b^{\frac{1}{4}}}"," ",0,"1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 1/16*sqrt(2)*log(sqrt(b)*x^4 + sqrt(2)*a^(1/4)*b^(1/4)*x^2 + sqrt(a))/(a^(3/4)*b^(1/4)) - 1/16*sqrt(2)*log(sqrt(b)*x^4 - sqrt(2)*a^(1/4)*b^(1/4)*x^2 + sqrt(a))/(a^(3/4)*b^(1/4))","A",0
1456,1,23,0,1.057952," ","integrate(1/x/(b*x^8+a),x, algorithm=""maxima"")","-\frac{\log\left(b x^{8} + a\right)}{8 \, a} + \frac{\log\left(x^{8}\right)}{8 \, a}"," ",0,"-1/8*log(b*x^8 + a)/a + 1/8*log(x^8)/a","A",0
1457,1,191,0,2.428812," ","integrate(1/x^3/(b*x^8+a),x, algorithm=""maxima"")","-\frac{b {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}} \sqrt{b}} - \frac{\sqrt{2} \log\left(\sqrt{b} x^{4} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x^{2} + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(\sqrt{b} x^{4} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x^{2} + \sqrt{a}\right)}{a^{\frac{1}{4}} b^{\frac{3}{4}}}\right)}}{16 \, a} - \frac{1}{2 \, a x^{2}}"," ",0,"-1/16*b*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(sqrt(a)*sqrt(b))*sqrt(b)) - sqrt(2)*log(sqrt(b)*x^4 + sqrt(2)*a^(1/4)*b^(1/4)*x^2 + sqrt(a))/(a^(1/4)*b^(3/4)) + sqrt(2)*log(sqrt(b)*x^4 - sqrt(2)*a^(1/4)*b^(1/4)*x^2 + sqrt(a))/(a^(1/4)*b^(3/4)))/a - 1/2/(a*x^2)","A",0
1458,1,31,0,2.208040," ","integrate(1/x^5/(b*x^8+a),x, algorithm=""maxima"")","-\frac{b \arctan\left(\frac{b x^{4}}{\sqrt{a b}}\right)}{4 \, \sqrt{a b} a} - \frac{1}{4 \, a x^{4}}"," ",0,"-1/4*b*arctan(b*x^4/sqrt(a*b))/(sqrt(a*b)*a) - 1/4/(a*x^4)","A",0
1459,1,192,0,2.490538," ","integrate(1/x^7/(b*x^8+a),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} b \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} b \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} b^{\frac{3}{4}} \log\left(\sqrt{b} x^{4} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x^{2} + \sqrt{a}\right)}{a^{\frac{3}{4}}} - \frac{\sqrt{2} b^{\frac{3}{4}} \log\left(\sqrt{b} x^{4} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x^{2} + \sqrt{a}\right)}{a^{\frac{3}{4}}}}{16 \, a} - \frac{1}{6 \, a x^{6}}"," ",0,"-1/16*(2*sqrt(2)*b*arctan(1/2*sqrt(2)*(2*sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + 2*sqrt(2)*b*arctan(1/2*sqrt(2)*(2*sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(b))) + sqrt(2)*b^(3/4)*log(sqrt(b)*x^4 + sqrt(2)*a^(1/4)*b^(1/4)*x^2 + sqrt(a))/a^(3/4) - sqrt(2)*b^(3/4)*log(sqrt(b)*x^4 - sqrt(2)*a^(1/4)*b^(1/4)*x^2 + sqrt(a))/a^(3/4))/a - 1/6/(a*x^6)","A",0
1460,1,33,0,1.051409," ","integrate(1/x^9/(b*x^8+a),x, algorithm=""maxima"")","\frac{b \log\left(b x^{8} + a\right)}{8 \, a^{2}} - \frac{b \log\left(x^{8}\right)}{8 \, a^{2}} - \frac{1}{8 \, a x^{8}}"," ",0,"1/8*b*log(b*x^8 + a)/a^2 - 1/8*b*log(x^8)/a^2 - 1/8/(a*x^8)","A",0
1461,0,0,0,0.000000," ","integrate(x^8/(b*x^8+a),x, algorithm=""maxima"")","-\frac{\frac{1}{8} \, a {\left(\frac{2 \, \left(\frac{a}{b}\right)^{\frac{1}{8}} \arctan\left(\frac{2 \, x + \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{a}{b}\right)^{\frac{1}{8}} \arctan\left(\frac{2 \, x - \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{a}{b}\right)^{\frac{1}{8}} \arctan\left(\frac{2 \, x + \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{a}{b}\right)^{\frac{1}{8}} \arctan\left(\frac{2 \, x - \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} + \frac{\left(\frac{a}{b}\right)^{\frac{1}{8}} \log\left(x^{2} + x \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} - \frac{\left(\frac{a}{b}\right)^{\frac{1}{8}} \log\left(x^{2} - x \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} + \frac{\left(\frac{a}{b}\right)^{\frac{1}{8}} \log\left(x^{2} + x \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} - \frac{\left(\frac{a}{b}\right)^{\frac{1}{8}} \log\left(x^{2} - x \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}}\right)}}{b} + \frac{x}{b}"," ",0,"-a*integrate(1/(b*x^8 + a), x)/b + x/b","F",0
1462,0,0,0,0.000000," ","integrate(x^6/(b*x^8+a),x, algorithm=""maxima"")","\int \frac{x^{6}}{b x^{8} + a}\,{d x}"," ",0,"integrate(x^6/(b*x^8 + a), x)","F",0
1463,0,0,0,0.000000," ","integrate(x^4/(b*x^8+a),x, algorithm=""maxima"")","\int \frac{x^{4}}{b x^{8} + a}\,{d x}"," ",0,"integrate(x^4/(b*x^8 + a), x)","F",0
1464,0,0,0,0.000000," ","integrate(x^2/(b*x^8+a),x, algorithm=""maxima"")","\int \frac{x^{2}}{b x^{8} + a}\,{d x}"," ",0,"integrate(x^2/(b*x^8 + a), x)","F",0
1465,0,0,0,0.000000," ","integrate(1/(b*x^8+a),x, algorithm=""maxima"")","\int \frac{1}{b x^{8} + a}\,{d x}"," ",0,"integrate(1/(b*x^8 + a), x)","F",0
1466,0,0,0,0.000000," ","integrate(1/x^2/(b*x^8+a),x, algorithm=""maxima"")","-\frac{\frac{1}{8} \, b {\left(\frac{2 \, \left(\frac{a}{b}\right)^{\frac{7}{8}} \arctan\left(\frac{2 \, x + \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{a}{b}\right)^{\frac{7}{8}} \arctan\left(\frac{2 \, x - \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{a}{b}\right)^{\frac{7}{8}} \arctan\left(\frac{2 \, x + \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{a}{b}\right)^{\frac{7}{8}} \arctan\left(\frac{2 \, x - \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} - \frac{\left(\frac{a}{b}\right)^{\frac{7}{8}} \log\left(x^{2} + x \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} + \frac{\left(\frac{a}{b}\right)^{\frac{7}{8}} \log\left(x^{2} - x \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} - \frac{\left(\frac{a}{b}\right)^{\frac{7}{8}} \log\left(x^{2} + x \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} + \frac{\left(\frac{a}{b}\right)^{\frac{7}{8}} \log\left(x^{2} - x \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}}\right)}}{a} - \frac{1}{a x}"," ",0,"-b*integrate(x^6/(b*x^8 + a), x)/a - 1/(a*x)","F",0
1467,0,0,0,0.000000," ","integrate(1/x^4/(b*x^8+a),x, algorithm=""maxima"")","-\frac{-\frac{1}{8} \, b {\left(\frac{2 \, \left(\frac{a}{b}\right)^{\frac{5}{8}} \arctan\left(\frac{2 \, x + \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{a}{b}\right)^{\frac{5}{8}} \arctan\left(\frac{2 \, x - \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} - \frac{2 \, \left(\frac{a}{b}\right)^{\frac{5}{8}} \arctan\left(\frac{2 \, x + \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} - \frac{2 \, \left(\frac{a}{b}\right)^{\frac{5}{8}} \arctan\left(\frac{2 \, x - \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} + \frac{\left(\frac{a}{b}\right)^{\frac{5}{8}} \log\left(x^{2} + x \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} - \frac{\left(\frac{a}{b}\right)^{\frac{5}{8}} \log\left(x^{2} - x \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} - \frac{\left(\frac{a}{b}\right)^{\frac{5}{8}} \log\left(x^{2} + x \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} + \frac{\left(\frac{a}{b}\right)^{\frac{5}{8}} \log\left(x^{2} - x \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}}\right)}}{a} - \frac{1}{3 \, a x^{3}}"," ",0,"-b*integrate(x^4/(b*x^8 + a), x)/a - 1/3/(a*x^3)","F",0
1468,0,0,0,0.000000," ","integrate(1/x^6/(b*x^8+a),x, algorithm=""maxima"")","-\frac{-\frac{1}{8} \, b {\left(\frac{2 \, \left(\frac{a}{b}\right)^{\frac{3}{8}} \arctan\left(\frac{2 \, x + \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{a}{b}\right)^{\frac{3}{8}} \arctan\left(\frac{2 \, x - \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} - \frac{2 \, \left(\frac{a}{b}\right)^{\frac{3}{8}} \arctan\left(\frac{2 \, x + \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} - \frac{2 \, \left(\frac{a}{b}\right)^{\frac{3}{8}} \arctan\left(\frac{2 \, x - \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} - \frac{\left(\frac{a}{b}\right)^{\frac{3}{8}} \log\left(x^{2} + x \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} + \frac{\left(\frac{a}{b}\right)^{\frac{3}{8}} \log\left(x^{2} - x \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} + \frac{\left(\frac{a}{b}\right)^{\frac{3}{8}} \log\left(x^{2} + x \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} - \frac{\left(\frac{a}{b}\right)^{\frac{3}{8}} \log\left(x^{2} - x \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}}\right)}}{a} - \frac{1}{5 \, a x^{5}}"," ",0,"-b*integrate(x^2/(b*x^8 + a), x)/a - 1/5/(a*x^5)","F",0
1469,0,0,0,0.000000," ","integrate(1/x^8/(b*x^8+a),x, algorithm=""maxima"")","-\frac{\frac{1}{8} \, b {\left(\frac{2 \, \left(\frac{a}{b}\right)^{\frac{1}{8}} \arctan\left(\frac{2 \, x + \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{a}{b}\right)^{\frac{1}{8}} \arctan\left(\frac{2 \, x - \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{a}{b}\right)^{\frac{1}{8}} \arctan\left(\frac{2 \, x + \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{a}{b}\right)^{\frac{1}{8}} \arctan\left(\frac{2 \, x - \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}{\sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} + \frac{\left(\frac{a}{b}\right)^{\frac{1}{8}} \log\left(x^{2} + x \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} - \frac{\left(\frac{a}{b}\right)^{\frac{1}{8}} \log\left(x^{2} - x \sqrt{\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{-2 \, \sqrt{2} + 4}} + \frac{\left(\frac{a}{b}\right)^{\frac{1}{8}} \log\left(x^{2} + x \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}} - \frac{\left(\frac{a}{b}\right)^{\frac{1}{8}} \log\left(x^{2} - x \sqrt{-\sqrt{2} + 2} \left(\frac{a}{b}\right)^{\frac{1}{8}} + \left(\frac{a}{b}\right)^{\frac{1}{4}}\right)}{a \sqrt{2 \, \sqrt{2} + 4}}\right)}}{a} - \frac{1}{7 \, a x^{7}}"," ",0,"-b*integrate(1/(b*x^8 + a), x)/a - 1/7/(a*x^7)","F",0
1470,0,0,0,0.000000," ","integrate(1/(-b*x^8+a),x, algorithm=""maxima"")","-\int \frac{1}{b x^{8} - a}\,{d x}"," ",0,"-integrate(1/(b*x^8 - a), x)","F",0
1471,1,28,0,2.490638," ","integrate(x^9/(-x^8+1),x, algorithm=""maxima"")","-\frac{1}{2} \, x^{2} + \frac{1}{4} \, \arctan\left(x^{2}\right) + \frac{1}{8} \, \log\left(x^{2} + 1\right) - \frac{1}{8} \, \log\left(x^{2} - 1\right)"," ",0,"-1/2*x^2 + 1/4*arctan(x^2) + 1/8*log(x^2 + 1) - 1/8*log(x^2 - 1)","A",0
1472,1,8,0,1.062973," ","integrate(x^7/(-x^8+1),x, algorithm=""maxima"")","-\frac{1}{8} \, \log\left(x^{8} - 1\right)"," ",0,"-1/8*log(x^8 - 1)","A",0
1473,1,23,0,2.412248," ","integrate(x^5/(-x^8+1),x, algorithm=""maxima"")","-\frac{1}{4} \, \arctan\left(x^{2}\right) + \frac{1}{8} \, \log\left(x^{2} + 1\right) - \frac{1}{8} \, \log\left(x^{2} - 1\right)"," ",0,"-1/4*arctan(x^2) + 1/8*log(x^2 + 1) - 1/8*log(x^2 - 1)","A",0
1474,1,17,0,1.057496," ","integrate(x^3/(-x^8+1),x, algorithm=""maxima"")","\frac{1}{8} \, \log\left(x^{4} + 1\right) - \frac{1}{8} \, \log\left(x^{4} - 1\right)"," ",0,"1/8*log(x^4 + 1) - 1/8*log(x^4 - 1)","B",0
1475,1,23,0,2.417003," ","integrate(x/(-x^8+1),x, algorithm=""maxima"")","\frac{1}{4} \, \arctan\left(x^{2}\right) + \frac{1}{8} \, \log\left(x^{2} + 1\right) - \frac{1}{8} \, \log\left(x^{2} - 1\right)"," ",0,"1/4*arctan(x^2) + 1/8*log(x^2 + 1) - 1/8*log(x^2 - 1)","A",0
1476,1,15,0,1.089659," ","integrate(1/x/(-x^8+1),x, algorithm=""maxima"")","-\frac{1}{8} \, \log\left(x^{8} - 1\right) + \frac{1}{8} \, \log\left(x^{8}\right)"," ",0,"-1/8*log(x^8 - 1) + 1/8*log(x^8)","A",0
1477,1,28,0,2.376663," ","integrate(1/x^3/(-x^8+1),x, algorithm=""maxima"")","-\frac{1}{2 \, x^{2}} - \frac{1}{4} \, \arctan\left(x^{2}\right) + \frac{1}{8} \, \log\left(x^{2} + 1\right) - \frac{1}{8} \, \log\left(x^{2} - 1\right)"," ",0,"-1/2/x^2 - 1/4*arctan(x^2) + 1/8*log(x^2 + 1) - 1/8*log(x^2 - 1)","A",0
1478,1,22,0,1.009174," ","integrate(1/x^5/(-x^8+1),x, algorithm=""maxima"")","-\frac{1}{4 \, x^{4}} + \frac{1}{8} \, \log\left(x^{4} + 1\right) - \frac{1}{8} \, \log\left(x^{4} - 1\right)"," ",0,"-1/4/x^4 + 1/8*log(x^4 + 1) - 1/8*log(x^4 - 1)","A",0
1479,1,28,0,2.352733," ","integrate(1/x^7/(-x^8+1),x, algorithm=""maxima"")","-\frac{1}{6 \, x^{6}} + \frac{1}{4} \, \arctan\left(x^{2}\right) + \frac{1}{8} \, \log\left(x^{2} + 1\right) - \frac{1}{8} \, \log\left(x^{2} - 1\right)"," ",0,"-1/6/x^6 + 1/4*arctan(x^2) + 1/8*log(x^2 + 1) - 1/8*log(x^2 - 1)","A",0
1480,1,20,0,1.066573," ","integrate(1/x^9/(-x^8+1),x, algorithm=""maxima"")","-\frac{1}{8 \, x^{8}} - \frac{1}{8} \, \log\left(x^{8} - 1\right) + \frac{1}{8} \, \log\left(x^{8}\right)"," ",0,"-1/8/x^8 - 1/8*log(x^8 - 1) + 1/8*log(x^8)","A",0
1481,1,91,0,2.306533," ","integrate(x^8/(-x^8+1),x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) - x + \frac{1}{4} \, \arctan\left(x\right) + \frac{1}{8} \, \log\left(x + 1\right) - \frac{1}{8} \, \log\left(x - 1\right)"," ",0,"1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) + 1/16*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 1/16*sqrt(2)*log(x^2 - sqrt(2)*x + 1) - x + 1/4*arctan(x) + 1/8*log(x + 1) - 1/8*log(x - 1)","A",0
1482,1,88,0,2.323524," ","integrate(x^6/(-x^8+1),x, algorithm=""maxima"")","-\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) - \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) - \frac{1}{4} \, \arctan\left(x\right) + \frac{1}{8} \, \log\left(x + 1\right) - \frac{1}{8} \, \log\left(x - 1\right)"," ",0,"-1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) - 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) + 1/16*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 1/16*sqrt(2)*log(x^2 - sqrt(2)*x + 1) - 1/4*arctan(x) + 1/8*log(x + 1) - 1/8*log(x - 1)","A",0
1483,1,88,0,2.320831," ","integrate(x^4/(-x^8+1),x, algorithm=""maxima"")","-\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) - \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) + \frac{1}{4} \, \arctan\left(x\right) + \frac{1}{8} \, \log\left(x + 1\right) - \frac{1}{8} \, \log\left(x - 1\right)"," ",0,"-1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) - 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) - 1/16*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 1/16*sqrt(2)*log(x^2 - sqrt(2)*x + 1) + 1/4*arctan(x) + 1/8*log(x + 1) - 1/8*log(x - 1)","A",0
1484,1,88,0,2.344532," ","integrate(x^2/(-x^8+1),x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) - \frac{1}{4} \, \arctan\left(x\right) + \frac{1}{8} \, \log\left(x + 1\right) - \frac{1}{8} \, \log\left(x - 1\right)"," ",0,"1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) - 1/16*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 1/16*sqrt(2)*log(x^2 - sqrt(2)*x + 1) - 1/4*arctan(x) + 1/8*log(x + 1) - 1/8*log(x - 1)","A",0
1485,1,88,0,2.266544," ","integrate(1/(-x^8+1),x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) + \frac{1}{4} \, \arctan\left(x\right) + \frac{1}{8} \, \log\left(x + 1\right) - \frac{1}{8} \, \log\left(x - 1\right)"," ",0,"1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) + 1/16*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 1/16*sqrt(2)*log(x^2 - sqrt(2)*x + 1) + 1/4*arctan(x) + 1/8*log(x + 1) - 1/8*log(x - 1)","A",0
1486,1,93,0,2.354383," ","integrate(1/x^2/(-x^8+1),x, algorithm=""maxima"")","-\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) - \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) - \frac{1}{x} - \frac{1}{4} \, \arctan\left(x\right) + \frac{1}{8} \, \log\left(x + 1\right) - \frac{1}{8} \, \log\left(x - 1\right)"," ",0,"-1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) - 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) + 1/16*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 1/16*sqrt(2)*log(x^2 - sqrt(2)*x + 1) - 1/x - 1/4*arctan(x) + 1/8*log(x + 1) - 1/8*log(x - 1)","A",0
1487,1,93,0,2.345554," ","integrate(1/x^4/(-x^8+1),x, algorithm=""maxima"")","-\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) - \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) - \frac{1}{3 \, x^{3}} + \frac{1}{4} \, \arctan\left(x\right) + \frac{1}{8} \, \log\left(x + 1\right) - \frac{1}{8} \, \log\left(x - 1\right)"," ",0,"-1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) - 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) - 1/16*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 1/16*sqrt(2)*log(x^2 - sqrt(2)*x + 1) - 1/3/x^3 + 1/4*arctan(x) + 1/8*log(x + 1) - 1/8*log(x - 1)","A",0
1488,1,93,0,2.319727," ","integrate(1/x^6/(-x^8+1),x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) - \frac{1}{5 \, x^{5}} - \frac{1}{4} \, \arctan\left(x\right) + \frac{1}{8} \, \log\left(x + 1\right) - \frac{1}{8} \, \log\left(x - 1\right)"," ",0,"1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) - 1/16*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 1/16*sqrt(2)*log(x^2 - sqrt(2)*x + 1) - 1/5/x^5 - 1/4*arctan(x) + 1/8*log(x + 1) - 1/8*log(x - 1)","A",0
1489,1,93,0,2.308697," ","integrate(1/x^8/(-x^8+1),x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) - \frac{1}{7 \, x^{7}} + \frac{1}{4} \, \arctan\left(x\right) + \frac{1}{8} \, \log\left(x + 1\right) - \frac{1}{8} \, \log\left(x - 1\right)"," ",0,"1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) + 1/16*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 1/16*sqrt(2)*log(x^2 - sqrt(2)*x + 1) - 1/7/x^7 + 1/4*arctan(x) + 1/8*log(x + 1) - 1/8*log(x - 1)","A",0
1490,1,85,0,2.265191," ","integrate(x^9/(x^8+1),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x^{2} + \sqrt{2}\right)}\right) - \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x^{2} - \sqrt{2}\right)}\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{4} + \sqrt{2} x^{2} + 1\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{4} - \sqrt{2} x^{2} + 1\right)"," ",0,"1/2*x^2 - 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x^2 + sqrt(2))) - 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x^2 - sqrt(2))) - 1/16*sqrt(2)*log(x^4 + sqrt(2)*x^2 + 1) + 1/16*sqrt(2)*log(x^4 - sqrt(2)*x^2 + 1)","A",0
1491,1,8,0,0.997573," ","integrate(x^7/(x^8+1),x, algorithm=""maxima"")","\frac{1}{8} \, \log\left(x^{8} + 1\right)"," ",0,"1/8*log(x^8 + 1)","A",0
1492,1,80,0,2.324337," ","integrate(x^5/(x^8+1),x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x^{2} + \sqrt{2}\right)}\right) + \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x^{2} - \sqrt{2}\right)}\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{4} + \sqrt{2} x^{2} + 1\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{4} - \sqrt{2} x^{2} + 1\right)"," ",0,"1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x^2 + sqrt(2))) + 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x^2 - sqrt(2))) - 1/16*sqrt(2)*log(x^4 + sqrt(2)*x^2 + 1) + 1/16*sqrt(2)*log(x^4 - sqrt(2)*x^2 + 1)","A",0
1493,1,6,0,2.219605," ","integrate(x^3/(x^8+1),x, algorithm=""maxima"")","\frac{1}{4} \, \arctan\left(x^{4}\right)"," ",0,"1/4*arctan(x^4)","A",0
1494,1,80,0,2.239506," ","integrate(x/(x^8+1),x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x^{2} + \sqrt{2}\right)}\right) + \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x^{2} - \sqrt{2}\right)}\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{4} + \sqrt{2} x^{2} + 1\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{4} - \sqrt{2} x^{2} + 1\right)"," ",0,"1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x^2 + sqrt(2))) + 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x^2 - sqrt(2))) + 1/16*sqrt(2)*log(x^4 + sqrt(2)*x^2 + 1) - 1/16*sqrt(2)*log(x^4 - sqrt(2)*x^2 + 1)","A",0
1495,1,15,0,0.902014," ","integrate(1/x/(x^8+1),x, algorithm=""maxima"")","-\frac{1}{8} \, \log\left(x^{8} + 1\right) + \frac{1}{8} \, \log\left(x^{8}\right)"," ",0,"-1/8*log(x^8 + 1) + 1/8*log(x^8)","A",0
1496,1,85,0,2.326963," ","integrate(1/x^3/(x^8+1),x, algorithm=""maxima"")","-\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x^{2} + \sqrt{2}\right)}\right) - \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x^{2} - \sqrt{2}\right)}\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{4} + \sqrt{2} x^{2} + 1\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{4} - \sqrt{2} x^{2} + 1\right) - \frac{1}{2 \, x^{2}}"," ",0,"-1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x^2 + sqrt(2))) - 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x^2 - sqrt(2))) + 1/16*sqrt(2)*log(x^4 + sqrt(2)*x^2 + 1) - 1/16*sqrt(2)*log(x^4 - sqrt(2)*x^2 + 1) - 1/2/x^2","A",0
1497,1,12,0,2.403856," ","integrate(1/x^5/(x^8+1),x, algorithm=""maxima"")","-\frac{1}{4 \, x^{4}} - \frac{1}{4} \, \arctan\left(x^{4}\right)"," ",0,"-1/4/x^4 - 1/4*arctan(x^4)","A",0
1498,1,85,0,2.403444," ","integrate(1/x^7/(x^8+1),x, algorithm=""maxima"")","-\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x^{2} + \sqrt{2}\right)}\right) - \frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x^{2} - \sqrt{2}\right)}\right) - \frac{1}{16} \, \sqrt{2} \log\left(x^{4} + \sqrt{2} x^{2} + 1\right) + \frac{1}{16} \, \sqrt{2} \log\left(x^{4} - \sqrt{2} x^{2} + 1\right) - \frac{1}{6 \, x^{6}}"," ",0,"-1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x^2 + sqrt(2))) - 1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x^2 - sqrt(2))) - 1/16*sqrt(2)*log(x^4 + sqrt(2)*x^2 + 1) + 1/16*sqrt(2)*log(x^4 - sqrt(2)*x^2 + 1) - 1/6/x^6","A",0
1499,1,20,0,1.011335," ","integrate(1/x^9/(x^8+1),x, algorithm=""maxima"")","-\frac{1}{8 \, x^{8}} + \frac{1}{8} \, \log\left(x^{8} + 1\right) - \frac{1}{8} \, \log\left(x^{8}\right)"," ",0,"-1/8/x^8 + 1/8*log(x^8 + 1) - 1/8*log(x^8)","A",0
1500,0,0,0,0.000000," ","integrate(x^8/(x^8+1),x, algorithm=""maxima"")","x - \int \frac{1}{x^{8} + 1}\,{d x}"," ",0,"x - integrate(1/(x^8 + 1), x)","F",0
1501,0,0,0,0.000000," ","integrate(x^6/(x^8+1),x, algorithm=""maxima"")","\int \frac{x^{6}}{x^{8} + 1}\,{d x}"," ",0,"integrate(x^6/(x^8 + 1), x)","F",0
1502,0,0,0,0.000000," ","integrate(x^4/(x^8+1),x, algorithm=""maxima"")","\int \frac{x^{4}}{x^{8} + 1}\,{d x}"," ",0,"integrate(x^4/(x^8 + 1), x)","F",0
1503,0,0,0,0.000000," ","integrate(x^2/(x^8+1),x, algorithm=""maxima"")","\int \frac{x^{2}}{x^{8} + 1}\,{d x}"," ",0,"integrate(x^2/(x^8 + 1), x)","F",0
1504,0,0,0,0.000000," ","integrate(1/(x^8+1),x, algorithm=""maxima"")","\int \frac{1}{x^{8} + 1}\,{d x}"," ",0,"integrate(1/(x^8 + 1), x)","F",0
1505,0,0,0,0.000000," ","integrate(1/x^2/(x^8+1),x, algorithm=""maxima"")","-\frac{1}{x} - \int \frac{x^{6}}{x^{8} + 1}\,{d x}"," ",0,"-1/x - integrate(x^6/(x^8 + 1), x)","F",0
1506,0,0,0,0.000000," ","integrate(1/x^4/(x^8+1),x, algorithm=""maxima"")","-\frac{1}{3 \, x^{3}} - \int \frac{x^{4}}{x^{8} + 1}\,{d x}"," ",0,"-1/3/x^3 - integrate(x^4/(x^8 + 1), x)","F",0
1507,0,0,0,0.000000," ","integrate(1/x^6/(x^8+1),x, algorithm=""maxima"")","-\frac{1}{5 \, x^{5}} - \int \frac{x^{2}}{x^{8} + 1}\,{d x}"," ",0,"-1/5/x^5 - integrate(x^2/(x^8 + 1), x)","F",0
1508,0,0,0,0.000000," ","integrate(1/x^8/(x^8+1),x, algorithm=""maxima"")","-\frac{1}{7 \, x^{7}} - \int \frac{1}{x^{8} + 1}\,{d x}"," ",0,"-1/7/x^7 - integrate(1/(x^8 + 1), x)","F",0
1509,1,58,0,1.100429," ","integrate(x^3*(x^8+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{8} + 1}}{8 \, x^{4} {\left(\frac{x^{8} + 1}{x^{8}} - 1\right)}} + \frac{1}{16} \, \log\left(\frac{\sqrt{x^{8} + 1}}{x^{4}} + 1\right) - \frac{1}{16} \, \log\left(\frac{\sqrt{x^{8} + 1}}{x^{4}} - 1\right)"," ",0,"1/8*sqrt(x^8 + 1)/(x^4*((x^8 + 1)/x^8 - 1)) + 1/16*log(sqrt(x^8 + 1)/x^4 + 1) - 1/16*log(sqrt(x^8 + 1)/x^4 - 1)","B",0
1510,0,0,0,0.000000," ","integrate(x*(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{8} + 1} x\,{d x}"," ",0,"integrate(sqrt(x^8 + 1)*x, x)","F",0
1511,1,34,0,1.046231," ","integrate((x^8+1)^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{x^{8} + 1} - \frac{1}{8} \, \log\left(\sqrt{x^{8} + 1} + 1\right) + \frac{1}{8} \, \log\left(\sqrt{x^{8} + 1} - 1\right)"," ",0,"1/4*sqrt(x^8 + 1) - 1/8*log(sqrt(x^8 + 1) + 1) + 1/8*log(sqrt(x^8 + 1) - 1)","A",0
1512,0,0,0,0.000000," ","integrate((x^8+1)^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{8} + 1}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(x^8 + 1)/x^3, x)","F",0
1513,1,58,0,1.078028," ","integrate(x^3*(x^8-2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{8} - 2}}{4 \, x^{4} {\left(\frac{x^{8} - 2}{x^{8}} - 1\right)}} - \frac{1}{8} \, \log\left(\frac{\sqrt{x^{8} - 2}}{x^{4}} + 1\right) + \frac{1}{8} \, \log\left(\frac{\sqrt{x^{8} - 2}}{x^{4}} - 1\right)"," ",0,"-1/4*sqrt(x^8 - 2)/(x^4*((x^8 - 2)/x^8 - 1)) - 1/8*log(sqrt(x^8 - 2)/x^4 + 1) + 1/8*log(sqrt(x^8 - 2)/x^4 - 1)","B",0
1514,1,86,0,1.061382," ","integrate(x^19/(x^8+1)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{5 \, \sqrt{x^{8} + 1}}{x^{4}} - \frac{3 \, {\left(x^{8} + 1\right)}^{\frac{3}{2}}}{x^{12}}}{32 \, {\left(\frac{2 \, {\left(x^{8} + 1\right)}}{x^{8}} - \frac{{\left(x^{8} + 1\right)}^{2}}{x^{16}} - 1\right)}} + \frac{3}{64} \, \log\left(\frac{\sqrt{x^{8} + 1}}{x^{4}} + 1\right) - \frac{3}{64} \, \log\left(\frac{\sqrt{x^{8} + 1}}{x^{4}} - 1\right)"," ",0,"-1/32*(5*sqrt(x^8 + 1)/x^4 - 3*(x^8 + 1)^(3/2)/x^12)/(2*(x^8 + 1)/x^8 - (x^8 + 1)^2/x^16 - 1) + 3/64*log(sqrt(x^8 + 1)/x^4 + 1) - 3/64*log(sqrt(x^8 + 1)/x^4 - 1)","B",0
1515,1,19,0,1.016592," ","integrate(x^15/(x^8+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{12} \, {\left(x^{8} + 1\right)}^{\frac{3}{2}} - \frac{1}{4} \, \sqrt{x^{8} + 1}"," ",0,"1/12*(x^8 + 1)^(3/2) - 1/4*sqrt(x^8 + 1)","A",0
1516,1,58,0,1.067026," ","integrate(x^11/(x^8+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{8} + 1}}{8 \, x^{4} {\left(\frac{x^{8} + 1}{x^{8}} - 1\right)}} - \frac{1}{16} \, \log\left(\frac{\sqrt{x^{8} + 1}}{x^{4}} + 1\right) + \frac{1}{16} \, \log\left(\frac{\sqrt{x^{8} + 1}}{x^{4}} - 1\right)"," ",0,"1/8*sqrt(x^8 + 1)/(x^4*((x^8 + 1)/x^8 - 1)) - 1/16*log(sqrt(x^8 + 1)/x^4 + 1) + 1/16*log(sqrt(x^8 + 1)/x^4 - 1)","B",0
1517,1,9,0,0.973388," ","integrate(x^7/(x^8+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{x^{8} + 1}"," ",0,"1/4*sqrt(x^8 + 1)","A",0
1518,1,33,0,1.057435," ","integrate(x^3/(x^8+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{8} \, \log\left(\frac{\sqrt{x^{8} + 1}}{x^{4}} + 1\right) - \frac{1}{8} \, \log\left(\frac{\sqrt{x^{8} + 1}}{x^{4}} - 1\right)"," ",0,"1/8*log(sqrt(x^8 + 1)/x^4 + 1) - 1/8*log(sqrt(x^8 + 1)/x^4 - 1)","B",0
1519,1,25,0,1.012627," ","integrate(1/x/(x^8+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{8} \, \log\left(\sqrt{x^{8} + 1} + 1\right) + \frac{1}{8} \, \log\left(\sqrt{x^{8} + 1} - 1\right)"," ",0,"-1/8*log(sqrt(x^8 + 1) + 1) + 1/8*log(sqrt(x^8 + 1) - 1)","B",0
1520,1,12,0,1.107805," ","integrate(1/x^5/(x^8+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{8} + 1}}{4 \, x^{4}}"," ",0,"-1/4*sqrt(x^8 + 1)/x^4","A",0
1521,1,37,0,1.050466," ","integrate(1/x^9/(x^8+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{x^{8} + 1}}{8 \, x^{8}} + \frac{1}{16} \, \log\left(\sqrt{x^{8} + 1} + 1\right) - \frac{1}{16} \, \log\left(\sqrt{x^{8} + 1} - 1\right)"," ",0,"-1/8*sqrt(x^8 + 1)/x^8 + 1/16*log(sqrt(x^8 + 1) + 1) - 1/16*log(sqrt(x^8 + 1) - 1)","A",0
1522,1,25,0,1.079322," ","integrate(1/x^13/(x^8+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{x^{8} + 1}}{4 \, x^{4}} - \frac{{\left(x^{8} + 1\right)}^{\frac{3}{2}}}{12 \, x^{12}}"," ",0,"1/4*sqrt(x^8 + 1)/x^4 - 1/12*(x^8 + 1)^(3/2)/x^12","A",0
1523,1,64,0,0.990099," ","integrate(1/x^17/(x^8+1)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(x^{8} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{x^{8} + 1}}{32 \, {\left(2 \, x^{8} - {\left(x^{8} + 1\right)}^{2} + 1\right)}} - \frac{3}{64} \, \log\left(\sqrt{x^{8} + 1} + 1\right) + \frac{3}{64} \, \log\left(\sqrt{x^{8} + 1} - 1\right)"," ",0,"-1/32*(3*(x^8 + 1)^(3/2) - 5*sqrt(x^8 + 1))/(2*x^8 - (x^8 + 1)^2 + 1) - 3/64*log(sqrt(x^8 + 1) + 1) + 3/64*log(sqrt(x^8 + 1) - 1)","A",0
1524,0,0,0,0.000000," ","integrate(x^13/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{13}}{\sqrt{x^{8} + 1}}\,{d x}"," ",0,"integrate(x^13/sqrt(x^8 + 1), x)","F",0
1525,0,0,0,0.000000," ","integrate(x^9/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{9}}{\sqrt{x^{8} + 1}}\,{d x}"," ",0,"integrate(x^9/sqrt(x^8 + 1), x)","F",0
1526,0,0,0,0.000000," ","integrate(x^5/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{5}}{\sqrt{x^{8} + 1}}\,{d x}"," ",0,"integrate(x^5/sqrt(x^8 + 1), x)","F",0
1527,0,0,0,0.000000," ","integrate(x/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{8} + 1}}\,{d x}"," ",0,"integrate(x/sqrt(x^8 + 1), x)","F",0
1528,0,0,0,0.000000," ","integrate(1/x^3/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{8} + 1} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(x^8 + 1)*x^3), x)","F",0
1529,0,0,0,0.000000," ","integrate(1/x^7/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{8} + 1} x^{7}}\,{d x}"," ",0,"integrate(1/(sqrt(x^8 + 1)*x^7), x)","F",0
1530,0,0,0,0.000000," ","integrate(x^10/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{10}}{\sqrt{x^{8} + 1}}\,{d x}"," ",0,"integrate(x^10/sqrt(x^8 + 1), x)","F",0
1531,0,0,0,0.000000," ","integrate(x^8/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{\sqrt{x^{8} + 1}}\,{d x}"," ",0,"integrate(x^8/sqrt(x^8 + 1), x)","F",0
1532,0,0,0,0.000000," ","integrate(x^6/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{x^{8} + 1}}\,{d x}"," ",0,"integrate(x^6/sqrt(x^8 + 1), x)","F",0
1533,0,0,0,0.000000," ","integrate(x^4/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{x^{8} + 1}}\,{d x}"," ",0,"integrate(x^4/sqrt(x^8 + 1), x)","F",0
1534,0,0,0,0.000000," ","integrate(x^2/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{x^{8} + 1}}\,{d x}"," ",0,"integrate(x^2/sqrt(x^8 + 1), x)","F",0
1535,0,0,0,0.000000," ","integrate(1/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{8} + 1}}\,{d x}"," ",0,"integrate(1/sqrt(x^8 + 1), x)","F",0
1536,0,0,0,0.000000," ","integrate(1/x^2/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{8} + 1} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(x^8 + 1)*x^2), x)","F",0
1537,0,0,0,0.000000," ","integrate(1/x^4/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{8} + 1} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(x^8 + 1)*x^4), x)","F",0
1538,0,0,0,0.000000," ","integrate(1/x^6/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{8} + 1} x^{6}}\,{d x}"," ",0,"integrate(1/(sqrt(x^8 + 1)*x^6), x)","F",0
1539,0,0,0,0.000000," ","integrate(1/x^8/(x^8+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{x^{8} + 1} x^{8}}\,{d x}"," ",0,"integrate(1/(sqrt(x^8 + 1)*x^8), x)","F",0
1540,0,0,0,0.000000," ","integrate(1/(-x^10+1),x, algorithm=""maxima"")","\frac{1}{10} \, \int \frac{x^{3} + 2 \, x^{2} + 3 \, x + 4}{x^{4} + x^{3} + x^{2} + x + 1}\,{d x} - \frac{1}{10} \, \int \frac{x^{3} - 2 \, x^{2} + 3 \, x - 4}{x^{4} - x^{3} + x^{2} - x + 1}\,{d x} + \frac{1}{10} \, \log\left(x + 1\right) - \frac{1}{10} \, \log\left(x - 1\right)"," ",0,"1/10*integrate((x^3 + 2*x^2 + 3*x + 4)/(x^4 + x^3 + x^2 + x + 1), x) - 1/10*integrate((x^3 - 2*x^2 + 3*x - 4)/(x^4 - x^3 + x^2 - x + 1), x) + 1/10*log(x + 1) - 1/10*log(x - 1)","F",0
1541,1,16,0,2.231434," ","integrate(x^4/(-x^10+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{5} \, \arctan\left(\frac{\sqrt{-x^{10} + 1}}{x^{5}}\right)"," ",0,"-1/5*arctan(sqrt(-x^10 + 1)/x^5)","B",0
1542,1,33,0,1.092958," ","integrate(x^4/(x^10-2)^(1/2),x, algorithm=""maxima"")","\frac{1}{10} \, \log\left(\frac{\sqrt{x^{10} - 2}}{x^{5}} + 1\right) - \frac{1}{10} \, \log\left(\frac{\sqrt{x^{10} - 2}}{x^{5}} - 1\right)"," ",0,"1/10*log(sqrt(x^10 - 2)/x^5 + 1) - 1/10*log(sqrt(x^10 - 2)/x^5 - 1)","B",0
1543,1,8,0,2.301726," ","integrate(x^5/(x^12+9),x, algorithm=""maxima"")","\frac{1}{18} \, \arctan\left(\frac{1}{3} \, x^{6}\right)"," ",0,"1/18*arctan(1/3*x^6)","A",0
1544,1,17,0,1.009225," ","integrate(x^5/(-x^12+9),x, algorithm=""maxima"")","\frac{1}{36} \, \log\left(x^{6} + 3\right) - \frac{1}{36} \, \log\left(x^{6} - 3\right)"," ",0,"1/36*log(x^6 + 3) - 1/36*log(x^6 - 3)","B",0
1545,1,58,0,0.970938," ","integrate(x^5*(x^12+9)^(1/2),x, algorithm=""maxima"")","\frac{3 \, \sqrt{x^{12} + 9}}{4 \, x^{6} {\left(\frac{x^{12} + 9}{x^{12}} - 1\right)}} + \frac{3}{8} \, \log\left(\frac{\sqrt{x^{12} + 9}}{x^{6}} + 1\right) - \frac{3}{8} \, \log\left(\frac{\sqrt{x^{12} + 9}}{x^{6}} - 1\right)"," ",0,"3/4*sqrt(x^12 + 9)/(x^6*((x^12 + 9)/x^12 - 1)) + 3/8*log(sqrt(x^12 + 9)/x^6 + 1) - 3/8*log(sqrt(x^12 + 9)/x^6 - 1)","B",0
1546,1,13,0,1.008163," ","integrate((a+b/x)*x^6,x, algorithm=""maxima"")","\frac{1}{7} \, a x^{7} + \frac{1}{6} \, b x^{6}"," ",0,"1/7*a*x^7 + 1/6*b*x^6","A",0
1547,1,13,0,1.057820," ","integrate((a+b/x)*x^5,x, algorithm=""maxima"")","\frac{1}{6} \, a x^{6} + \frac{1}{5} \, b x^{5}"," ",0,"1/6*a*x^6 + 1/5*b*x^5","A",0
1548,1,13,0,1.021646," ","integrate((a+b/x)*x^4,x, algorithm=""maxima"")","\frac{1}{5} \, a x^{5} + \frac{1}{4} \, b x^{4}"," ",0,"1/5*a*x^5 + 1/4*b*x^4","A",0
1549,1,13,0,0.988492," ","integrate((a+b/x)*x^3,x, algorithm=""maxima"")","\frac{1}{4} \, a x^{4} + \frac{1}{3} \, b x^{3}"," ",0,"1/4*a*x^4 + 1/3*b*x^3","A",0
1550,1,13,0,1.023870," ","integrate((a+b/x)*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, a x^{3} + \frac{1}{2} \, b x^{2}"," ",0,"1/3*a*x^3 + 1/2*b*x^2","A",0
1551,1,10,0,0.999546," ","integrate((a+b/x)*x,x, algorithm=""maxima"")","\frac{1}{2} \, a x^{2} + b x"," ",0,"1/2*a*x^2 + b*x","A",0
1552,1,8,0,0.964259," ","integrate(a+b/x,x, algorithm=""maxima"")","a x + b \log\left(x\right)"," ",0,"a*x + b*log(x)","A",0
1553,1,11,0,1.026535," ","integrate((a+b/x)/x,x, algorithm=""maxima"")","a \log\left(x\right) - \frac{b}{x}"," ",0,"a*log(x) - b/x","A",0
1554,1,14,0,1.112333," ","integrate((a+b/x)/x^2,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x}\right)}^{2}}{2 \, b}"," ",0,"-1/2*(a + b/x)^2/b","A",0
1555,1,13,0,0.999911," ","integrate((a+b/x)/x^3,x, algorithm=""maxima"")","-\frac{3 \, a x + 2 \, b}{6 \, x^{3}}"," ",0,"-1/6*(3*a*x + 2*b)/x^3","A",0
1556,1,13,0,1.052766," ","integrate((a+b/x)/x^4,x, algorithm=""maxima"")","-\frac{4 \, a x + 3 \, b}{12 \, x^{4}}"," ",0,"-1/12*(4*a*x + 3*b)/x^4","A",0
1557,1,13,0,1.099558," ","integrate((a+b/x)/x^5,x, algorithm=""maxima"")","-\frac{5 \, a x + 4 \, b}{20 \, x^{5}}"," ",0,"-1/20*(5*a*x + 4*b)/x^5","A",0
1558,1,13,0,0.967766," ","integrate((a+b/x)/x^6,x, algorithm=""maxima"")","-\frac{6 \, a x + 5 \, b}{30 \, x^{6}}"," ",0,"-1/30*(6*a*x + 5*b)/x^6","A",0
1559,1,24,0,1.008856," ","integrate((a+b/x)^2*x^5,x, algorithm=""maxima"")","\frac{1}{6} \, a^{2} x^{6} + \frac{2}{5} \, a b x^{5} + \frac{1}{4} \, b^{2} x^{4}"," ",0,"1/6*a^2*x^6 + 2/5*a*b*x^5 + 1/4*b^2*x^4","A",0
1560,1,24,0,1.049242," ","integrate((a+b/x)^2*x^4,x, algorithm=""maxima"")","\frac{1}{5} \, a^{2} x^{5} + \frac{1}{2} \, a b x^{4} + \frac{1}{3} \, b^{2} x^{3}"," ",0,"1/5*a^2*x^5 + 1/2*a*b*x^4 + 1/3*b^2*x^3","A",0
1561,1,24,0,1.043368," ","integrate((a+b/x)^2*x^3,x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} x^{4} + \frac{2}{3} \, a b x^{3} + \frac{1}{2} \, b^{2} x^{2}"," ",0,"1/4*a^2*x^4 + 2/3*a*b*x^3 + 1/2*b^2*x^2","A",0
1562,1,20,0,0.997574," ","integrate((a+b/x)^2*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} x^{3} + a b x^{2} + b^{2} x"," ",0,"1/3*a^2*x^3 + a*b*x^2 + b^2*x","A",0
1563,1,20,0,1.054170," ","integrate((a+b/x)^2*x,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} x^{2} + 2 \, a b x + b^{2} \log\left(x\right)"," ",0,"1/2*a^2*x^2 + 2*a*b*x + b^2*log(x)","A",0
1564,1,20,0,1.051665," ","integrate((a+b/x)^2,x, algorithm=""maxima"")","a^{2} x + 2 \, a b \log\left(x\right) - \frac{b^{2}}{x}"," ",0,"a^2*x + 2*a*b*log(x) - b^2/x","A",0
1565,1,21,0,1.019447," ","integrate((a+b/x)^2/x,x, algorithm=""maxima"")","a^{2} \log\left(x\right) - \frac{4 \, a b x + b^{2}}{2 \, x^{2}}"," ",0,"a^2*log(x) - 1/2*(4*a*b*x + b^2)/x^2","A",0
1566,1,14,0,0.998861," ","integrate((a+b/x)^2/x^2,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x}\right)}^{3}}{3 \, b}"," ",0,"-1/3*(a + b/x)^3/b","A",0
1567,1,24,0,1.020304," ","integrate((a+b/x)^2/x^3,x, algorithm=""maxima"")","-\frac{6 \, a^{2} x^{2} + 8 \, a b x + 3 \, b^{2}}{12 \, x^{4}}"," ",0,"-1/12*(6*a^2*x^2 + 8*a*b*x + 3*b^2)/x^4","A",0
1568,1,24,0,1.000332," ","integrate((a+b/x)^2/x^4,x, algorithm=""maxima"")","-\frac{10 \, a^{2} x^{2} + 15 \, a b x + 6 \, b^{2}}{30 \, x^{5}}"," ",0,"-1/30*(10*a^2*x^2 + 15*a*b*x + 6*b^2)/x^5","A",0
1569,1,24,0,0.964709," ","integrate((a+b/x)^2/x^5,x, algorithm=""maxima"")","-\frac{15 \, a^{2} x^{2} + 24 \, a b x + 10 \, b^{2}}{60 \, x^{6}}"," ",0,"-1/60*(15*a^2*x^2 + 24*a*b*x + 10*b^2)/x^6","A",0
1570,1,35,0,1.114355," ","integrate((a+b/x)^3*x^6,x, algorithm=""maxima"")","\frac{1}{7} \, a^{3} x^{7} + \frac{1}{2} \, a^{2} b x^{6} + \frac{3}{5} \, a b^{2} x^{5} + \frac{1}{4} \, b^{3} x^{4}"," ",0,"1/7*a^3*x^7 + 1/2*a^2*b*x^6 + 3/5*a*b^2*x^5 + 1/4*b^3*x^4","A",0
1571,1,35,0,1.109092," ","integrate((a+b/x)^3*x^5,x, algorithm=""maxima"")","\frac{1}{6} \, a^{3} x^{6} + \frac{3}{5} \, a^{2} b x^{5} + \frac{3}{4} \, a b^{2} x^{4} + \frac{1}{3} \, b^{3} x^{3}"," ",0,"1/6*a^3*x^6 + 3/5*a^2*b*x^5 + 3/4*a*b^2*x^4 + 1/3*b^3*x^3","A",0
1572,1,34,0,1.146900," ","integrate((a+b/x)^3*x^4,x, algorithm=""maxima"")","\frac{1}{5} \, a^{3} x^{5} + \frac{3}{4} \, a^{2} b x^{4} + a b^{2} x^{3} + \frac{1}{2} \, b^{3} x^{2}"," ",0,"1/5*a^3*x^5 + 3/4*a^2*b*x^4 + a*b^2*x^3 + 1/2*b^3*x^2","A",0
1573,1,31,0,1.102093," ","integrate((a+b/x)^3*x^3,x, algorithm=""maxima"")","\frac{1}{4} \, a^{3} x^{4} + a^{2} b x^{3} + \frac{3}{2} \, a b^{2} x^{2} + b^{3} x"," ",0,"1/4*a^3*x^4 + a^2*b*x^3 + 3/2*a*b^2*x^2 + b^3*x","B",0
1574,1,31,0,1.000905," ","integrate((a+b/x)^3*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{3} x^{3} + \frac{3}{2} \, a^{2} b x^{2} + 3 \, a b^{2} x + b^{3} \log\left(x\right)"," ",0,"1/3*a^3*x^3 + 3/2*a^2*b*x^2 + 3*a*b^2*x + b^3*log(x)","A",0
1575,1,32,0,1.037856," ","integrate((a+b/x)^3*x,x, algorithm=""maxima"")","\frac{1}{2} \, a^{3} x^{2} + 3 \, a^{2} b x + 3 \, a b^{2} \log\left(x\right) - \frac{b^{3}}{x}"," ",0,"1/2*a^3*x^2 + 3*a^2*b*x + 3*a*b^2*log(x) - b^3/x","A",0
1576,1,31,0,1.025671," ","integrate((a+b/x)^3,x, algorithm=""maxima"")","a^{3} x + 3 \, a^{2} b \log\left(x\right) - \frac{3 \, a b^{2}}{x} - \frac{b^{3}}{2 \, x^{2}}"," ",0,"a^3*x + 3*a^2*b*log(x) - 3*a*b^2/x - 1/2*b^3/x^2","A",0
1577,1,34,0,1.011230," ","integrate((a+b/x)^3/x,x, algorithm=""maxima"")","a^{3} \log\left(x\right) - \frac{18 \, a^{2} b x^{2} + 9 \, a b^{2} x + 2 \, b^{3}}{6 \, x^{3}}"," ",0,"a^3*log(x) - 1/6*(18*a^2*b*x^2 + 9*a*b^2*x + 2*b^3)/x^3","A",0
1578,1,14,0,1.018582," ","integrate((a+b/x)^3/x^2,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x}\right)}^{4}}{4 \, b}"," ",0,"-1/4*(a + b/x)^4/b","A",0
1579,1,35,0,1.035283," ","integrate((a+b/x)^3/x^3,x, algorithm=""maxima"")","-\frac{10 \, a^{3} x^{3} + 20 \, a^{2} b x^{2} + 15 \, a b^{2} x + 4 \, b^{3}}{20 \, x^{5}}"," ",0,"-1/20*(10*a^3*x^3 + 20*a^2*b*x^2 + 15*a*b^2*x + 4*b^3)/x^5","A",0
1580,1,35,0,0.978632," ","integrate((a+b/x)^3/x^4,x, algorithm=""maxima"")","-\frac{20 \, a^{3} x^{3} + 45 \, a^{2} b x^{2} + 36 \, a b^{2} x + 10 \, b^{3}}{60 \, x^{6}}"," ",0,"-1/60*(20*a^3*x^3 + 45*a^2*b*x^2 + 36*a*b^2*x + 10*b^3)/x^6","A",0
1581,1,35,0,1.031964," ","integrate((a+b/x)^3/x^5,x, algorithm=""maxima"")","-\frac{35 \, a^{3} x^{3} + 84 \, a^{2} b x^{2} + 70 \, a b^{2} x + 20 \, b^{3}}{140 \, x^{7}}"," ",0,"-1/140*(35*a^3*x^3 + 84*a^2*b*x^2 + 70*a*b^2*x + 20*b^3)/x^7","A",0
1582,1,35,0,1.032365," ","integrate((a+b/x)^3/x^6,x, algorithm=""maxima"")","-\frac{56 \, a^{3} x^{3} + 140 \, a^{2} b x^{2} + 120 \, a b^{2} x + 35 \, b^{3}}{280 \, x^{8}}"," ",0,"-1/280*(56*a^3*x^3 + 140*a^2*b*x^2 + 120*a*b^2*x + 35*b^3)/x^8","A",0
1583,1,90,0,0.950549," ","integrate((a+b/x)^8*x^16,x, algorithm=""maxima"")","\frac{1}{17} \, a^{8} x^{17} + \frac{1}{2} \, a^{7} b x^{16} + \frac{28}{15} \, a^{6} b^{2} x^{15} + 4 \, a^{5} b^{3} x^{14} + \frac{70}{13} \, a^{4} b^{4} x^{13} + \frac{14}{3} \, a^{3} b^{5} x^{12} + \frac{28}{11} \, a^{2} b^{6} x^{11} + \frac{4}{5} \, a b^{7} x^{10} + \frac{1}{9} \, b^{8} x^{9}"," ",0,"1/17*a^8*x^17 + 1/2*a^7*b*x^16 + 28/15*a^6*b^2*x^15 + 4*a^5*b^3*x^14 + 70/13*a^4*b^4*x^13 + 14/3*a^3*b^5*x^12 + 28/11*a^2*b^6*x^11 + 4/5*a*b^7*x^10 + 1/9*b^8*x^9","A",0
1584,1,90,0,0.983389," ","integrate((a+b/x)^8*x^15,x, algorithm=""maxima"")","\frac{1}{16} \, a^{8} x^{16} + \frac{8}{15} \, a^{7} b x^{15} + 2 \, a^{6} b^{2} x^{14} + \frac{56}{13} \, a^{5} b^{3} x^{13} + \frac{35}{6} \, a^{4} b^{4} x^{12} + \frac{56}{11} \, a^{3} b^{5} x^{11} + \frac{14}{5} \, a^{2} b^{6} x^{10} + \frac{8}{9} \, a b^{7} x^{9} + \frac{1}{8} \, b^{8} x^{8}"," ",0,"1/16*a^8*x^16 + 8/15*a^7*b*x^15 + 2*a^6*b^2*x^14 + 56/13*a^5*b^3*x^13 + 35/6*a^4*b^4*x^12 + 56/11*a^3*b^5*x^11 + 14/5*a^2*b^6*x^10 + 8/9*a*b^7*x^9 + 1/8*b^8*x^8","A",0
1585,1,90,0,1.034382," ","integrate((a+b/x)^8*x^13,x, algorithm=""maxima"")","\frac{1}{14} \, a^{8} x^{14} + \frac{8}{13} \, a^{7} b x^{13} + \frac{7}{3} \, a^{6} b^{2} x^{12} + \frac{56}{11} \, a^{5} b^{3} x^{11} + 7 \, a^{4} b^{4} x^{10} + \frac{56}{9} \, a^{3} b^{5} x^{9} + \frac{7}{2} \, a^{2} b^{6} x^{8} + \frac{8}{7} \, a b^{7} x^{7} + \frac{1}{6} \, b^{8} x^{6}"," ",0,"1/14*a^8*x^14 + 8/13*a^7*b*x^13 + 7/3*a^6*b^2*x^12 + 56/11*a^5*b^3*x^11 + 7*a^4*b^4*x^10 + 56/9*a^3*b^5*x^9 + 7/2*a^2*b^6*x^8 + 8/7*a*b^7*x^7 + 1/6*b^8*x^6","A",0
1586,1,90,0,0.989713," ","integrate((a+b/x)^8*x^12,x, algorithm=""maxima"")","\frac{1}{13} \, a^{8} x^{13} + \frac{2}{3} \, a^{7} b x^{12} + \frac{28}{11} \, a^{6} b^{2} x^{11} + \frac{28}{5} \, a^{5} b^{3} x^{10} + \frac{70}{9} \, a^{4} b^{4} x^{9} + 7 \, a^{3} b^{5} x^{8} + 4 \, a^{2} b^{6} x^{7} + \frac{4}{3} \, a b^{7} x^{6} + \frac{1}{5} \, b^{8} x^{5}"," ",0,"1/13*a^8*x^13 + 2/3*a^7*b*x^12 + 28/11*a^6*b^2*x^11 + 28/5*a^5*b^3*x^10 + 70/9*a^4*b^4*x^9 + 7*a^3*b^5*x^8 + 4*a^2*b^6*x^7 + 4/3*a*b^7*x^6 + 1/5*b^8*x^5","A",0
1587,1,90,0,1.056531," ","integrate((a+b/x)^8*x^11,x, algorithm=""maxima"")","\frac{1}{12} \, a^{8} x^{12} + \frac{8}{11} \, a^{7} b x^{11} + \frac{14}{5} \, a^{6} b^{2} x^{10} + \frac{56}{9} \, a^{5} b^{3} x^{9} + \frac{35}{4} \, a^{4} b^{4} x^{8} + 8 \, a^{3} b^{5} x^{7} + \frac{14}{3} \, a^{2} b^{6} x^{6} + \frac{8}{5} \, a b^{7} x^{5} + \frac{1}{4} \, b^{8} x^{4}"," ",0,"1/12*a^8*x^12 + 8/11*a^7*b*x^11 + 14/5*a^6*b^2*x^10 + 56/9*a^5*b^3*x^9 + 35/4*a^4*b^4*x^8 + 8*a^3*b^5*x^7 + 14/3*a^2*b^6*x^6 + 8/5*a*b^7*x^5 + 1/4*b^8*x^4","A",0
1588,1,90,0,0.961245," ","integrate((a+b/x)^8*x^10,x, algorithm=""maxima"")","\frac{1}{11} \, a^{8} x^{11} + \frac{4}{5} \, a^{7} b x^{10} + \frac{28}{9} \, a^{6} b^{2} x^{9} + 7 \, a^{5} b^{3} x^{8} + 10 \, a^{4} b^{4} x^{7} + \frac{28}{3} \, a^{3} b^{5} x^{6} + \frac{28}{5} \, a^{2} b^{6} x^{5} + 2 \, a b^{7} x^{4} + \frac{1}{3} \, b^{8} x^{3}"," ",0,"1/11*a^8*x^11 + 4/5*a^7*b*x^10 + 28/9*a^6*b^2*x^9 + 7*a^5*b^3*x^8 + 10*a^4*b^4*x^7 + 28/3*a^3*b^5*x^6 + 28/5*a^2*b^6*x^5 + 2*a*b^7*x^4 + 1/3*b^8*x^3","B",0
1589,1,90,0,1.056472," ","integrate((a+b/x)^8*x^9,x, algorithm=""maxima"")","\frac{1}{10} \, a^{8} x^{10} + \frac{8}{9} \, a^{7} b x^{9} + \frac{7}{2} \, a^{6} b^{2} x^{8} + 8 \, a^{5} b^{3} x^{7} + \frac{35}{3} \, a^{4} b^{4} x^{6} + \frac{56}{5} \, a^{3} b^{5} x^{5} + 7 \, a^{2} b^{6} x^{4} + \frac{8}{3} \, a b^{7} x^{3} + \frac{1}{2} \, b^{8} x^{2}"," ",0,"1/10*a^8*x^10 + 8/9*a^7*b*x^9 + 7/2*a^6*b^2*x^8 + 8*a^5*b^3*x^7 + 35/3*a^4*b^4*x^6 + 56/5*a^3*b^5*x^5 + 7*a^2*b^6*x^4 + 8/3*a*b^7*x^3 + 1/2*b^8*x^2","B",0
1590,1,86,0,0.968401," ","integrate((a+b/x)^8*x^8,x, algorithm=""maxima"")","\frac{1}{9} \, a^{8} x^{9} + a^{7} b x^{8} + 4 \, a^{6} b^{2} x^{7} + \frac{28}{3} \, a^{5} b^{3} x^{6} + 14 \, a^{4} b^{4} x^{5} + 14 \, a^{3} b^{5} x^{4} + \frac{28}{3} \, a^{2} b^{6} x^{3} + 4 \, a b^{7} x^{2} + b^{8} x"," ",0,"1/9*a^8*x^9 + a^7*b*x^8 + 4*a^6*b^2*x^7 + 28/3*a^5*b^3*x^6 + 14*a^4*b^4*x^5 + 14*a^3*b^5*x^4 + 28/3*a^2*b^6*x^3 + 4*a*b^7*x^2 + b^8*x","B",0
1591,1,86,0,0.965647," ","integrate((a+b/x)^8*x^7,x, algorithm=""maxima"")","\frac{1}{8} \, a^{8} x^{8} + \frac{8}{7} \, a^{7} b x^{7} + \frac{14}{3} \, a^{6} b^{2} x^{6} + \frac{56}{5} \, a^{5} b^{3} x^{5} + \frac{35}{2} \, a^{4} b^{4} x^{4} + \frac{56}{3} \, a^{3} b^{5} x^{3} + 14 \, a^{2} b^{6} x^{2} + 8 \, a b^{7} x + b^{8} \log\left(x\right)"," ",0,"1/8*a^8*x^8 + 8/7*a^7*b*x^7 + 14/3*a^6*b^2*x^6 + 56/5*a^5*b^3*x^5 + 35/2*a^4*b^4*x^4 + 56/3*a^3*b^5*x^3 + 14*a^2*b^6*x^2 + 8*a*b^7*x + b^8*log(x)","A",0
1592,1,87,0,1.014823," ","integrate((a+b/x)^8*x^6,x, algorithm=""maxima"")","\frac{1}{7} \, a^{8} x^{7} + \frac{4}{3} \, a^{7} b x^{6} + \frac{28}{5} \, a^{6} b^{2} x^{5} + 14 \, a^{5} b^{3} x^{4} + \frac{70}{3} \, a^{4} b^{4} x^{3} + 28 \, a^{3} b^{5} x^{2} + 28 \, a^{2} b^{6} x + 8 \, a b^{7} \log\left(x\right) - \frac{b^{8}}{x}"," ",0,"1/7*a^8*x^7 + 4/3*a^7*b*x^6 + 28/5*a^6*b^2*x^5 + 14*a^5*b^3*x^4 + 70/3*a^4*b^4*x^3 + 28*a^3*b^5*x^2 + 28*a^2*b^6*x + 8*a*b^7*log(x) - b^8/x","A",0
1593,1,86,0,0.987952," ","integrate((a+b/x)^8*x^5,x, algorithm=""maxima"")","\frac{1}{6} \, a^{8} x^{6} + \frac{8}{5} \, a^{7} b x^{5} + 7 \, a^{6} b^{2} x^{4} + \frac{56}{3} \, a^{5} b^{3} x^{3} + 35 \, a^{4} b^{4} x^{2} + 56 \, a^{3} b^{5} x + 28 \, a^{2} b^{6} \log\left(x\right) - \frac{16 \, a b^{7} x + b^{8}}{2 \, x^{2}}"," ",0,"1/6*a^8*x^6 + 8/5*a^7*b*x^5 + 7*a^6*b^2*x^4 + 56/3*a^5*b^3*x^3 + 35*a^4*b^4*x^2 + 56*a^3*b^5*x + 28*a^2*b^6*log(x) - 1/2*(16*a*b^7*x + b^8)/x^2","A",0
1594,1,86,0,0.939009," ","integrate((a+b/x)^8*x^4,x, algorithm=""maxima"")","\frac{1}{5} \, a^{8} x^{5} + 2 \, a^{7} b x^{4} + \frac{28}{3} \, a^{6} b^{2} x^{3} + 28 \, a^{5} b^{3} x^{2} + 70 \, a^{4} b^{4} x + 56 \, a^{3} b^{5} \log\left(x\right) - \frac{84 \, a^{2} b^{6} x^{2} + 12 \, a b^{7} x + b^{8}}{3 \, x^{3}}"," ",0,"1/5*a^8*x^5 + 2*a^7*b*x^4 + 28/3*a^6*b^2*x^3 + 28*a^5*b^3*x^2 + 70*a^4*b^4*x + 56*a^3*b^5*log(x) - 1/3*(84*a^2*b^6*x^2 + 12*a*b^7*x + b^8)/x^3","A",0
1595,1,88,0,1.056628," ","integrate((a+b/x)^8*x^3,x, algorithm=""maxima"")","\frac{1}{4} \, a^{8} x^{4} + \frac{8}{3} \, a^{7} b x^{3} + 14 \, a^{6} b^{2} x^{2} + 56 \, a^{5} b^{3} x + 70 \, a^{4} b^{4} \log\left(x\right) - \frac{672 \, a^{3} b^{5} x^{3} + 168 \, a^{2} b^{6} x^{2} + 32 \, a b^{7} x + 3 \, b^{8}}{12 \, x^{4}}"," ",0,"1/4*a^8*x^4 + 8/3*a^7*b*x^3 + 14*a^6*b^2*x^2 + 56*a^5*b^3*x + 70*a^4*b^4*log(x) - 1/12*(672*a^3*b^5*x^3 + 168*a^2*b^6*x^2 + 32*a*b^7*x + 3*b^8)/x^4","A",0
1596,1,88,0,0.949860," ","integrate((a+b/x)^8*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{8} x^{3} + 4 \, a^{7} b x^{2} + 28 \, a^{6} b^{2} x + 56 \, a^{5} b^{3} \log\left(x\right) - \frac{1050 \, a^{4} b^{4} x^{4} + 420 \, a^{3} b^{5} x^{3} + 140 \, a^{2} b^{6} x^{2} + 30 \, a b^{7} x + 3 \, b^{8}}{15 \, x^{5}}"," ",0,"1/3*a^8*x^3 + 4*a^7*b*x^2 + 28*a^6*b^2*x + 56*a^5*b^3*log(x) - 1/15*(1050*a^4*b^4*x^4 + 420*a^3*b^5*x^3 + 140*a^2*b^6*x^2 + 30*a*b^7*x + 3*b^8)/x^5","A",0
1597,1,88,0,0.922112," ","integrate((a+b/x)^8*x,x, algorithm=""maxima"")","\frac{1}{2} \, a^{8} x^{2} + 8 \, a^{7} b x + 28 \, a^{6} b^{2} \log\left(x\right) - \frac{1680 \, a^{5} b^{3} x^{5} + 1050 \, a^{4} b^{4} x^{4} + 560 \, a^{3} b^{5} x^{3} + 210 \, a^{2} b^{6} x^{2} + 48 \, a b^{7} x + 5 \, b^{8}}{30 \, x^{6}}"," ",0,"1/2*a^8*x^2 + 8*a^7*b*x + 28*a^6*b^2*log(x) - 1/30*(1680*a^5*b^3*x^5 + 1050*a^4*b^4*x^4 + 560*a^3*b^5*x^3 + 210*a^2*b^6*x^2 + 48*a*b^7*x + 5*b^8)/x^6","A",0
1598,1,87,0,1.043668," ","integrate((a+b/x)^8,x, algorithm=""maxima"")","a^{8} x + 8 \, a^{7} b \log\left(x\right) - \frac{2940 \, a^{6} b^{2} x^{6} + 2940 \, a^{5} b^{3} x^{5} + 2450 \, a^{4} b^{4} x^{4} + 1470 \, a^{3} b^{5} x^{3} + 588 \, a^{2} b^{6} x^{2} + 140 \, a b^{7} x + 15 \, b^{8}}{105 \, x^{7}}"," ",0,"a^8*x + 8*a^7*b*log(x) - 1/105*(2940*a^6*b^2*x^6 + 2940*a^5*b^3*x^5 + 2450*a^4*b^4*x^4 + 1470*a^3*b^5*x^3 + 588*a^2*b^6*x^2 + 140*a*b^7*x + 15*b^8)/x^7","A",0
1599,1,89,0,1.065025," ","integrate((a+b/x)^8/x,x, algorithm=""maxima"")","a^{8} \log\left(x\right) - \frac{6720 \, a^{7} b x^{7} + 11760 \, a^{6} b^{2} x^{6} + 15680 \, a^{5} b^{3} x^{5} + 14700 \, a^{4} b^{4} x^{4} + 9408 \, a^{3} b^{5} x^{3} + 3920 \, a^{2} b^{6} x^{2} + 960 \, a b^{7} x + 105 \, b^{8}}{840 \, x^{8}}"," ",0,"a^8*log(x) - 1/840*(6720*a^7*b*x^7 + 11760*a^6*b^2*x^6 + 15680*a^5*b^3*x^5 + 14700*a^4*b^4*x^4 + 9408*a^3*b^5*x^3 + 3920*a^2*b^6*x^2 + 960*a*b^7*x + 105*b^8)/x^8","A",0
1600,1,14,0,1.099735," ","integrate((a+b/x)^8/x^2,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x}\right)}^{9}}{9 \, b}"," ",0,"-1/9*(a + b/x)^9/b","A",0
1601,1,90,0,0.976141," ","integrate((a+b/x)^8/x^3,x, algorithm=""maxima"")","-\frac{45 \, a^{8} x^{8} + 240 \, a^{7} b x^{7} + 630 \, a^{6} b^{2} x^{6} + 1008 \, a^{5} b^{3} x^{5} + 1050 \, a^{4} b^{4} x^{4} + 720 \, a^{3} b^{5} x^{3} + 315 \, a^{2} b^{6} x^{2} + 80 \, a b^{7} x + 9 \, b^{8}}{90 \, x^{10}}"," ",0,"-1/90*(45*a^8*x^8 + 240*a^7*b*x^7 + 630*a^6*b^2*x^6 + 1008*a^5*b^3*x^5 + 1050*a^4*b^4*x^4 + 720*a^3*b^5*x^3 + 315*a^2*b^6*x^2 + 80*a*b^7*x + 9*b^8)/x^10","B",0
1602,1,90,0,1.051472," ","integrate((a+b/x)^8/x^4,x, algorithm=""maxima"")","-\frac{165 \, a^{8} x^{8} + 990 \, a^{7} b x^{7} + 2772 \, a^{6} b^{2} x^{6} + 4620 \, a^{5} b^{3} x^{5} + 4950 \, a^{4} b^{4} x^{4} + 3465 \, a^{3} b^{5} x^{3} + 1540 \, a^{2} b^{6} x^{2} + 396 \, a b^{7} x + 45 \, b^{8}}{495 \, x^{11}}"," ",0,"-1/495*(165*a^8*x^8 + 990*a^7*b*x^7 + 2772*a^6*b^2*x^6 + 4620*a^5*b^3*x^5 + 4950*a^4*b^4*x^4 + 3465*a^3*b^5*x^3 + 1540*a^2*b^6*x^2 + 396*a*b^7*x + 45*b^8)/x^11","A",0
1603,1,90,0,1.158244," ","integrate((a+b/x)^8/x^5,x, algorithm=""maxima"")","-\frac{495 \, a^{8} x^{8} + 3168 \, a^{7} b x^{7} + 9240 \, a^{6} b^{2} x^{6} + 15840 \, a^{5} b^{3} x^{5} + 17325 \, a^{4} b^{4} x^{4} + 12320 \, a^{3} b^{5} x^{3} + 5544 \, a^{2} b^{6} x^{2} + 1440 \, a b^{7} x + 165 \, b^{8}}{1980 \, x^{12}}"," ",0,"-1/1980*(495*a^8*x^8 + 3168*a^7*b*x^7 + 9240*a^6*b^2*x^6 + 15840*a^5*b^3*x^5 + 17325*a^4*b^4*x^4 + 12320*a^3*b^5*x^3 + 5544*a^2*b^6*x^2 + 1440*a*b^7*x + 165*b^8)/x^12","A",0
1604,1,90,0,1.008827," ","integrate((a+b/x)^8/x^6,x, algorithm=""maxima"")","-\frac{1287 \, a^{8} x^{8} + 8580 \, a^{7} b x^{7} + 25740 \, a^{6} b^{2} x^{6} + 45045 \, a^{5} b^{3} x^{5} + 50050 \, a^{4} b^{4} x^{4} + 36036 \, a^{3} b^{5} x^{3} + 16380 \, a^{2} b^{6} x^{2} + 4290 \, a b^{7} x + 495 \, b^{8}}{6435 \, x^{13}}"," ",0,"-1/6435*(1287*a^8*x^8 + 8580*a^7*b*x^7 + 25740*a^6*b^2*x^6 + 45045*a^5*b^3*x^5 + 50050*a^4*b^4*x^4 + 36036*a^3*b^5*x^3 + 16380*a^2*b^6*x^2 + 4290*a*b^7*x + 495*b^8)/x^13","A",0
1605,1,90,0,1.079360," ","integrate((a+b/x)^8/x^7,x, algorithm=""maxima"")","-\frac{3003 \, a^{8} x^{8} + 20592 \, a^{7} b x^{7} + 63063 \, a^{6} b^{2} x^{6} + 112112 \, a^{5} b^{3} x^{5} + 126126 \, a^{4} b^{4} x^{4} + 91728 \, a^{3} b^{5} x^{3} + 42042 \, a^{2} b^{6} x^{2} + 11088 \, a b^{7} x + 1287 \, b^{8}}{18018 \, x^{14}}"," ",0,"-1/18018*(3003*a^8*x^8 + 20592*a^7*b*x^7 + 63063*a^6*b^2*x^6 + 112112*a^5*b^3*x^5 + 126126*a^4*b^4*x^4 + 91728*a^3*b^5*x^3 + 42042*a^2*b^6*x^2 + 11088*a*b^7*x + 1287*b^8)/x^14","A",0
1606,1,90,0,1.006437," ","integrate((a+b/x)^8/x^8,x, algorithm=""maxima"")","-\frac{6435 \, a^{8} x^{8} + 45045 \, a^{7} b x^{7} + 140140 \, a^{6} b^{2} x^{6} + 252252 \, a^{5} b^{3} x^{5} + 286650 \, a^{4} b^{4} x^{4} + 210210 \, a^{3} b^{5} x^{3} + 97020 \, a^{2} b^{6} x^{2} + 25740 \, a b^{7} x + 3003 \, b^{8}}{45045 \, x^{15}}"," ",0,"-1/45045*(6435*a^8*x^8 + 45045*a^7*b*x^7 + 140140*a^6*b^2*x^6 + 252252*a^5*b^3*x^5 + 286650*a^4*b^4*x^4 + 210210*a^3*b^5*x^3 + 97020*a^2*b^6*x^2 + 25740*a*b^7*x + 3003*b^8)/x^15","A",0
1607,1,64,0,1.089202," ","integrate(x^4/(a+b/x),x, algorithm=""maxima"")","-\frac{b^{5} \log\left(a x + b\right)}{a^{6}} + \frac{12 \, a^{4} x^{5} - 15 \, a^{3} b x^{4} + 20 \, a^{2} b^{2} x^{3} - 30 \, a b^{3} x^{2} + 60 \, b^{4} x}{60 \, a^{5}}"," ",0,"-b^5*log(a*x + b)/a^6 + 1/60*(12*a^4*x^5 - 15*a^3*b*x^4 + 20*a^2*b^2*x^3 - 30*a*b^3*x^2 + 60*b^4*x)/a^5","A",0
1608,1,52,0,1.078432," ","integrate(x^3/(a+b/x),x, algorithm=""maxima"")","\frac{b^{4} \log\left(a x + b\right)}{a^{5}} + \frac{3 \, a^{3} x^{4} - 4 \, a^{2} b x^{3} + 6 \, a b^{2} x^{2} - 12 \, b^{3} x}{12 \, a^{4}}"," ",0,"b^4*log(a*x + b)/a^5 + 1/12*(3*a^3*x^4 - 4*a^2*b*x^3 + 6*a*b^2*x^2 - 12*b^3*x)/a^4","A",0
1609,1,42,0,0.997880," ","integrate(x^2/(a+b/x),x, algorithm=""maxima"")","-\frac{b^{3} \log\left(a x + b\right)}{a^{4}} + \frac{2 \, a^{2} x^{3} - 3 \, a b x^{2} + 6 \, b^{2} x}{6 \, a^{3}}"," ",0,"-b^3*log(a*x + b)/a^4 + 1/6*(2*a^2*x^3 - 3*a*b*x^2 + 6*b^2*x)/a^3","A",0
1610,1,29,0,1.103438," ","integrate(x/(a+b/x),x, algorithm=""maxima"")","\frac{b^{2} \log\left(a x + b\right)}{a^{3}} + \frac{a x^{2} - 2 \, b x}{2 \, a^{2}}"," ",0,"b^2*log(a*x + b)/a^3 + 1/2*(a*x^2 - 2*b*x)/a^2","A",0
1611,1,18,0,0.946895," ","integrate(1/(a+b/x),x, algorithm=""maxima"")","\frac{x}{a} - \frac{b \log\left(a x + b\right)}{a^{2}}"," ",0,"x/a - b*log(a*x + b)/a^2","A",0
1612,1,10,0,0.991964," ","integrate(1/(a+b/x)/x,x, algorithm=""maxima"")","\frac{\log\left(a x + b\right)}{a}"," ",0,"log(a*x + b)/a","A",0
1613,1,13,0,1.099105," ","integrate(1/(a+b/x)/x^2,x, algorithm=""maxima"")","-\frac{\log\left(a + \frac{b}{x}\right)}{b}"," ",0,"-log(a + b/x)/b","A",0
1614,1,28,0,1.034934," ","integrate(1/(a+b/x)/x^3,x, algorithm=""maxima"")","\frac{a \log\left(a x + b\right)}{b^{2}} - \frac{a \log\left(x\right)}{b^{2}} - \frac{1}{b x}"," ",0,"a*log(a*x + b)/b^2 - a*log(x)/b^2 - 1/(b*x)","A",0
1615,1,40,0,1.116441," ","integrate(1/(a+b/x)/x^4,x, algorithm=""maxima"")","-\frac{a^{2} \log\left(a x + b\right)}{b^{3}} + \frac{a^{2} \log\left(x\right)}{b^{3}} + \frac{2 \, a x - b}{2 \, b^{2} x^{2}}"," ",0,"-a^2*log(a*x + b)/b^3 + a^2*log(x)/b^3 + 1/2*(2*a*x - b)/(b^2*x^2)","A",0
1616,1,51,0,1.032544," ","integrate(1/(a+b/x)/x^5,x, algorithm=""maxima"")","\frac{a^{3} \log\left(a x + b\right)}{b^{4}} - \frac{a^{3} \log\left(x\right)}{b^{4}} - \frac{6 \, a^{2} x^{2} - 3 \, a b x + 2 \, b^{2}}{6 \, b^{3} x^{3}}"," ",0,"a^3*log(a*x + b)/b^4 - a^3*log(x)/b^4 - 1/6*(6*a^2*x^2 - 3*a*b*x + 2*b^2)/(b^3*x^3)","A",0
1617,1,62,0,0.937577," ","integrate(1/(a+b/x)/x^6,x, algorithm=""maxima"")","-\frac{a^{4} \log\left(a x + b\right)}{b^{5}} + \frac{a^{4} \log\left(x\right)}{b^{5}} + \frac{12 \, a^{3} x^{3} - 6 \, a^{2} b x^{2} + 4 \, a b^{2} x - 3 \, b^{3}}{12 \, b^{4} x^{4}}"," ",0,"-a^4*log(a*x + b)/b^5 + a^4*log(x)/b^5 + 1/12*(12*a^3*x^3 - 6*a^2*b*x^2 + 4*a*b^2*x - 3*b^3)/(b^4*x^4)","A",0
1618,1,73,0,1.069147," ","integrate(1/(a+b/x)/x^7,x, algorithm=""maxima"")","\frac{a^{5} \log\left(a x + b\right)}{b^{6}} - \frac{a^{5} \log\left(x\right)}{b^{6}} - \frac{60 \, a^{4} x^{4} - 30 \, a^{3} b x^{3} + 20 \, a^{2} b^{2} x^{2} - 15 \, a b^{3} x + 12 \, b^{4}}{60 \, b^{5} x^{5}}"," ",0,"a^5*log(a*x + b)/b^6 - a^5*log(x)/b^6 - 1/60*(60*a^4*x^4 - 30*a^3*b*x^3 + 20*a^2*b^2*x^2 - 15*a*b^3*x + 12*b^4)/(b^5*x^5)","A",0
1619,1,92,0,1.060833," ","integrate(x^5/(a+b/x)^2,x, algorithm=""maxima"")","\frac{b^{7}}{a^{9} x + a^{8} b} + \frac{7 \, b^{6} \log\left(a x + b\right)}{a^{8}} + \frac{10 \, a^{5} x^{6} - 24 \, a^{4} b x^{5} + 45 \, a^{3} b^{2} x^{4} - 80 \, a^{2} b^{3} x^{3} + 150 \, a b^{4} x^{2} - 360 \, b^{5} x}{60 \, a^{7}}"," ",0,"b^7/(a^9*x + a^8*b) + 7*b^6*log(a*x + b)/a^8 + 1/60*(10*a^5*x^6 - 24*a^4*b*x^5 + 45*a^3*b^2*x^4 - 80*a^2*b^3*x^3 + 150*a*b^4*x^2 - 360*b^5*x)/a^7","A",0
1620,1,82,0,1.178135," ","integrate(x^4/(a+b/x)^2,x, algorithm=""maxima"")","-\frac{b^{6}}{a^{8} x + a^{7} b} - \frac{6 \, b^{5} \log\left(a x + b\right)}{a^{7}} + \frac{2 \, a^{4} x^{5} - 5 \, a^{3} b x^{4} + 10 \, a^{2} b^{2} x^{3} - 20 \, a b^{3} x^{2} + 50 \, b^{4} x}{10 \, a^{6}}"," ",0,"-b^6/(a^8*x + a^7*b) - 6*b^5*log(a*x + b)/a^7 + 1/10*(2*a^4*x^5 - 5*a^3*b*x^4 + 10*a^2*b^2*x^3 - 20*a*b^3*x^2 + 50*b^4*x)/a^6","A",0
1621,1,70,0,1.088053," ","integrate(x^3/(a+b/x)^2,x, algorithm=""maxima"")","\frac{b^{5}}{a^{7} x + a^{6} b} + \frac{5 \, b^{4} \log\left(a x + b\right)}{a^{6}} + \frac{3 \, a^{3} x^{4} - 8 \, a^{2} b x^{3} + 18 \, a b^{2} x^{2} - 48 \, b^{3} x}{12 \, a^{5}}"," ",0,"b^5/(a^7*x + a^6*b) + 5*b^4*log(a*x + b)/a^6 + 1/12*(3*a^3*x^4 - 8*a^2*b*x^3 + 18*a*b^2*x^2 - 48*b^3*x)/a^5","A",0
1622,1,59,0,1.053441," ","integrate(x^2/(a+b/x)^2,x, algorithm=""maxima"")","-\frac{b^{4}}{a^{6} x + a^{5} b} - \frac{4 \, b^{3} \log\left(a x + b\right)}{a^{5}} + \frac{a^{2} x^{3} - 3 \, a b x^{2} + 9 \, b^{2} x}{3 \, a^{4}}"," ",0,"-b^4/(a^6*x + a^5*b) - 4*b^3*log(a*x + b)/a^5 + 1/3*(a^2*x^3 - 3*a*b*x^2 + 9*b^2*x)/a^4","A",0
1623,1,47,0,1.091491," ","integrate(x/(a+b/x)^2,x, algorithm=""maxima"")","\frac{b^{3}}{a^{5} x + a^{4} b} + \frac{3 \, b^{2} \log\left(a x + b\right)}{a^{4}} + \frac{a x^{2} - 4 \, b x}{2 \, a^{3}}"," ",0,"b^3/(a^5*x + a^4*b) + 3*b^2*log(a*x + b)/a^4 + 1/2*(a*x^2 - 4*b*x)/a^3","A",0
1624,1,36,0,1.248750," ","integrate(1/(a+b/x)^2,x, algorithm=""maxima"")","-\frac{b^{2}}{a^{4} x + a^{3} b} + \frac{x}{a^{2}} - \frac{2 \, b \log\left(a x + b\right)}{a^{3}}"," ",0,"-b^2/(a^4*x + a^3*b) + x/a^2 - 2*b*log(a*x + b)/a^3","A",0
1625,1,26,0,1.040302," ","integrate(1/(a+b/x)^2/x,x, algorithm=""maxima"")","\frac{b}{a^{3} x + a^{2} b} + \frac{\log\left(a x + b\right)}{a^{2}}"," ",0,"b/(a^3*x + a^2*b) + log(a*x + b)/a^2","A",0
1626,1,13,0,1.046595," ","integrate(1/(a+b/x)^2/x^2,x, algorithm=""maxima"")","\frac{1}{{\left(a + \frac{b}{x}\right)} b}"," ",0,"1/((a + b/x)*b)","A",0
1627,1,28,0,1.080343," ","integrate(1/(a+b/x)^2/x^3,x, algorithm=""maxima"")","\frac{1}{a b x + b^{2}} - \frac{\log\left(a x + b\right)}{b^{2}} + \frac{\log\left(x\right)}{b^{2}}"," ",0,"1/(a*b*x + b^2) - log(a*x + b)/b^2 + log(x)/b^2","A",0
1628,1,45,0,1.141144," ","integrate(1/(a+b/x)^2/x^4,x, algorithm=""maxima"")","-\frac{2 \, a x + b}{a b^{2} x^{2} + b^{3} x} + \frac{2 \, a \log\left(a x + b\right)}{b^{3}} - \frac{2 \, a \log\left(x\right)}{b^{3}}"," ",0,"-(2*a*x + b)/(a*b^2*x^2 + b^3*x) + 2*a*log(a*x + b)/b^3 - 2*a*log(x)/b^3","A",0
1629,1,64,0,1.026527," ","integrate(1/(a+b/x)^2/x^5,x, algorithm=""maxima"")","\frac{6 \, a^{2} x^{2} + 3 \, a b x - b^{2}}{2 \, {\left(a b^{3} x^{3} + b^{4} x^{2}\right)}} - \frac{3 \, a^{2} \log\left(a x + b\right)}{b^{4}} + \frac{3 \, a^{2} \log\left(x\right)}{b^{4}}"," ",0,"1/2*(6*a^2*x^2 + 3*a*b*x - b^2)/(a*b^3*x^3 + b^4*x^2) - 3*a^2*log(a*x + b)/b^4 + 3*a^2*log(x)/b^4","A",0
1630,1,73,0,1.061416," ","integrate(1/(a+b/x)^2/x^6,x, algorithm=""maxima"")","-\frac{12 \, a^{3} x^{3} + 6 \, a^{2} b x^{2} - 2 \, a b^{2} x + b^{3}}{3 \, {\left(a b^{4} x^{4} + b^{5} x^{3}\right)}} + \frac{4 \, a^{3} \log\left(a x + b\right)}{b^{5}} - \frac{4 \, a^{3} \log\left(x\right)}{b^{5}}"," ",0,"-1/3*(12*a^3*x^3 + 6*a^2*b*x^2 - 2*a*b^2*x + b^3)/(a*b^4*x^4 + b^5*x^3) + 4*a^3*log(a*x + b)/b^5 - 4*a^3*log(x)/b^5","A",0
1631,1,86,0,1.011738," ","integrate(1/(a+b/x)^2/x^7,x, algorithm=""maxima"")","\frac{60 \, a^{4} x^{4} + 30 \, a^{3} b x^{3} - 10 \, a^{2} b^{2} x^{2} + 5 \, a b^{3} x - 3 \, b^{4}}{12 \, {\left(a b^{5} x^{5} + b^{6} x^{4}\right)}} - \frac{5 \, a^{4} \log\left(a x + b\right)}{b^{6}} + \frac{5 \, a^{4} \log\left(x\right)}{b^{6}}"," ",0,"1/12*(60*a^4*x^4 + 30*a^3*b*x^3 - 10*a^2*b^2*x^2 + 5*a*b^3*x - 3*b^4)/(a*b^5*x^5 + b^6*x^4) - 5*a^4*log(a*x + b)/b^6 + 5*a^4*log(x)/b^6","A",0
1632,1,97,0,1.093632," ","integrate(1/(a+b/x)^2/x^8,x, algorithm=""maxima"")","-\frac{60 \, a^{5} x^{5} + 30 \, a^{4} b x^{4} - 10 \, a^{3} b^{2} x^{3} + 5 \, a^{2} b^{3} x^{2} - 3 \, a b^{4} x + 2 \, b^{5}}{10 \, {\left(a b^{6} x^{6} + b^{7} x^{5}\right)}} + \frac{6 \, a^{5} \log\left(a x + b\right)}{b^{7}} - \frac{6 \, a^{5} \log\left(x\right)}{b^{7}}"," ",0,"-1/10*(60*a^5*x^5 + 30*a^4*b*x^4 - 10*a^3*b^2*x^3 + 5*a^2*b^3*x^2 - 3*a*b^4*x + 2*b^5)/(a*b^6*x^6 + b^7*x^5) + 6*a^5*log(a*x + b)/b^7 - 6*a^5*log(x)/b^7","A",0
1633,1,103,0,1.024347," ","integrate(x^4/(a+b/x)^3,x, algorithm=""maxima"")","-\frac{14 \, a b^{6} x + 13 \, b^{7}}{2 \, {\left(a^{10} x^{2} + 2 \, a^{9} b x + a^{8} b^{2}\right)}} - \frac{21 \, b^{5} \log\left(a x + b\right)}{a^{8}} + \frac{4 \, a^{4} x^{5} - 15 \, a^{3} b x^{4} + 40 \, a^{2} b^{2} x^{3} - 100 \, a b^{3} x^{2} + 300 \, b^{4} x}{20 \, a^{7}}"," ",0,"-1/2*(14*a*b^6*x + 13*b^7)/(a^10*x^2 + 2*a^9*b*x + a^8*b^2) - 21*b^5*log(a*x + b)/a^8 + 1/20*(4*a^4*x^5 - 15*a^3*b*x^4 + 40*a^2*b^2*x^3 - 100*a*b^3*x^2 + 300*b^4*x)/a^7","A",0
1634,1,91,0,1.075493," ","integrate(x^3/(a+b/x)^3,x, algorithm=""maxima"")","\frac{12 \, a b^{5} x + 11 \, b^{6}}{2 \, {\left(a^{9} x^{2} + 2 \, a^{8} b x + a^{7} b^{2}\right)}} + \frac{15 \, b^{4} \log\left(a x + b\right)}{a^{7}} + \frac{a^{3} x^{4} - 4 \, a^{2} b x^{3} + 12 \, a b^{2} x^{2} - 40 \, b^{3} x}{4 \, a^{6}}"," ",0,"1/2*(12*a*b^5*x + 11*b^6)/(a^9*x^2 + 2*a^8*b*x + a^7*b^2) + 15*b^4*log(a*x + b)/a^7 + 1/4*(a^3*x^4 - 4*a^2*b*x^3 + 12*a*b^2*x^2 - 40*b^3*x)/a^6","A",0
1635,1,81,0,1.120332," ","integrate(x^2/(a+b/x)^3,x, algorithm=""maxima"")","-\frac{10 \, a b^{4} x + 9 \, b^{5}}{2 \, {\left(a^{8} x^{2} + 2 \, a^{7} b x + a^{6} b^{2}\right)}} - \frac{10 \, b^{3} \log\left(a x + b\right)}{a^{6}} + \frac{2 \, a^{2} x^{3} - 9 \, a b x^{2} + 36 \, b^{2} x}{6 \, a^{5}}"," ",0,"-1/2*(10*a*b^4*x + 9*b^5)/(a^8*x^2 + 2*a^7*b*x + a^6*b^2) - 10*b^3*log(a*x + b)/a^6 + 1/6*(2*a^2*x^3 - 9*a*b*x^2 + 36*b^2*x)/a^5","A",0
1636,1,69,0,1.069370," ","integrate(x/(a+b/x)^3,x, algorithm=""maxima"")","\frac{8 \, a b^{3} x + 7 \, b^{4}}{2 \, {\left(a^{7} x^{2} + 2 \, a^{6} b x + a^{5} b^{2}\right)}} + \frac{6 \, b^{2} \log\left(a x + b\right)}{a^{5}} + \frac{a x^{2} - 6 \, b x}{2 \, a^{4}}"," ",0,"1/2*(8*a*b^3*x + 7*b^4)/(a^7*x^2 + 2*a^6*b*x + a^5*b^2) + 6*b^2*log(a*x + b)/a^5 + 1/2*(a*x^2 - 6*b*x)/a^4","A",0
1637,1,57,0,1.039849," ","integrate(1/(a+b/x)^3,x, algorithm=""maxima"")","-\frac{6 \, a b^{2} x + 5 \, b^{3}}{2 \, {\left(a^{6} x^{2} + 2 \, a^{5} b x + a^{4} b^{2}\right)}} + \frac{x}{a^{3}} - \frac{3 \, b \log\left(a x + b\right)}{a^{4}}"," ",0,"-1/2*(6*a*b^2*x + 5*b^3)/(a^6*x^2 + 2*a^5*b*x + a^4*b^2) + x/a^3 - 3*b*log(a*x + b)/a^4","A",0
1638,1,48,0,0.982746," ","integrate(1/(a+b/x)^3/x,x, algorithm=""maxima"")","\frac{4 \, a b x + 3 \, b^{2}}{2 \, {\left(a^{5} x^{2} + 2 \, a^{4} b x + a^{3} b^{2}\right)}} + \frac{\log\left(a x + b\right)}{a^{3}}"," ",0,"1/2*(4*a*b*x + 3*b^2)/(a^5*x^2 + 2*a^4*b*x + a^3*b^2) + log(a*x + b)/a^3","A",0
1639,1,14,0,1.016979," ","integrate(1/(a+b/x)^3/x^2,x, algorithm=""maxima"")","\frac{1}{2 \, {\left(a + \frac{b}{x}\right)}^{2} b}"," ",0,"1/2/((a + b/x)^2*b)","A",0
1640,1,24,0,1.017458," ","integrate(1/(a+b/x)^3/x^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(a^{3} x^{2} + 2 \, a^{2} b x + a b^{2}\right)}}"," ",0,"-1/2/(a^3*x^2 + 2*a^2*b*x + a*b^2)","A",0
1641,1,51,0,1.024063," ","integrate(1/(a+b/x)^3/x^4,x, algorithm=""maxima"")","\frac{2 \, a x + 3 \, b}{2 \, {\left(a^{2} b^{2} x^{2} + 2 \, a b^{3} x + b^{4}\right)}} - \frac{\log\left(a x + b\right)}{b^{3}} + \frac{\log\left(x\right)}{b^{3}}"," ",0,"1/2*(2*a*x + 3*b)/(a^2*b^2*x^2 + 2*a*b^3*x + b^4) - log(a*x + b)/b^3 + log(x)/b^3","A",0
1642,1,69,0,1.017152," ","integrate(1/(a+b/x)^3/x^5,x, algorithm=""maxima"")","-\frac{6 \, a^{2} x^{2} + 9 \, a b x + 2 \, b^{2}}{2 \, {\left(a^{2} b^{3} x^{3} + 2 \, a b^{4} x^{2} + b^{5} x\right)}} + \frac{3 \, a \log\left(a x + b\right)}{b^{4}} - \frac{3 \, a \log\left(x\right)}{b^{4}}"," ",0,"-1/2*(6*a^2*x^2 + 9*a*b*x + 2*b^2)/(a^2*b^3*x^3 + 2*a*b^4*x^2 + b^5*x) + 3*a*log(a*x + b)/b^4 - 3*a*log(x)/b^4","A",0
1643,1,86,0,1.104631," ","integrate(1/(a+b/x)^3/x^6,x, algorithm=""maxima"")","\frac{12 \, a^{3} x^{3} + 18 \, a^{2} b x^{2} + 4 \, a b^{2} x - b^{3}}{2 \, {\left(a^{2} b^{4} x^{4} + 2 \, a b^{5} x^{3} + b^{6} x^{2}\right)}} - \frac{6 \, a^{2} \log\left(a x + b\right)}{b^{5}} + \frac{6 \, a^{2} \log\left(x\right)}{b^{5}}"," ",0,"1/2*(12*a^3*x^3 + 18*a^2*b*x^2 + 4*a*b^2*x - b^3)/(a^2*b^4*x^4 + 2*a*b^5*x^3 + b^6*x^2) - 6*a^2*log(a*x + b)/b^5 + 6*a^2*log(x)/b^5","A",0
1644,1,97,0,1.065428," ","integrate(1/(a+b/x)^3/x^7,x, algorithm=""maxima"")","-\frac{60 \, a^{4} x^{4} + 90 \, a^{3} b x^{3} + 20 \, a^{2} b^{2} x^{2} - 5 \, a b^{3} x + 2 \, b^{4}}{6 \, {\left(a^{2} b^{5} x^{5} + 2 \, a b^{6} x^{4} + b^{7} x^{3}\right)}} + \frac{10 \, a^{3} \log\left(a x + b\right)}{b^{6}} - \frac{10 \, a^{3} \log\left(x\right)}{b^{6}}"," ",0,"-1/6*(60*a^4*x^4 + 90*a^3*b*x^3 + 20*a^2*b^2*x^2 - 5*a*b^3*x + 2*b^4)/(a^2*b^5*x^5 + 2*a*b^6*x^4 + b^7*x^3) + 10*a^3*log(a*x + b)/b^6 - 10*a^3*log(x)/b^6","A",0
1645,1,108,0,1.144356," ","integrate(1/(a+b/x)^3/x^8,x, algorithm=""maxima"")","\frac{60 \, a^{5} x^{5} + 90 \, a^{4} b x^{4} + 20 \, a^{3} b^{2} x^{3} - 5 \, a^{2} b^{3} x^{2} + 2 \, a b^{4} x - b^{5}}{4 \, {\left(a^{2} b^{6} x^{6} + 2 \, a b^{7} x^{5} + b^{8} x^{4}\right)}} - \frac{15 \, a^{4} \log\left(a x + b\right)}{b^{7}} + \frac{15 \, a^{4} \log\left(x\right)}{b^{7}}"," ",0,"1/4*(60*a^5*x^5 + 90*a^4*b*x^4 + 20*a^3*b^2*x^3 - 5*a^2*b^3*x^2 + 2*a*b^4*x - b^5)/(a^2*b^6*x^6 + 2*a*b^7*x^5 + b^8*x^4) - 15*a^4*log(a*x + b)/b^7 + 15*a^4*log(x)/b^7","A",0
1646,1,119,0,1.012091," ","integrate(1/(a+b/x)^3/x^9,x, algorithm=""maxima"")","-\frac{420 \, a^{6} x^{6} + 630 \, a^{5} b x^{5} + 140 \, a^{4} b^{2} x^{4} - 35 \, a^{3} b^{3} x^{3} + 14 \, a^{2} b^{4} x^{2} - 7 \, a b^{5} x + 4 \, b^{6}}{20 \, {\left(a^{2} b^{7} x^{7} + 2 \, a b^{8} x^{6} + b^{9} x^{5}\right)}} + \frac{21 \, a^{5} \log\left(a x + b\right)}{b^{8}} - \frac{21 \, a^{5} \log\left(x\right)}{b^{8}}"," ",0,"-1/20*(420*a^6*x^6 + 630*a^5*b*x^5 + 140*a^4*b^2*x^4 - 35*a^3*b^3*x^3 + 14*a^2*b^4*x^2 - 7*a*b^5*x + 4*b^6)/(a^2*b^7*x^7 + 2*a*b^8*x^6 + b^9*x^5) + 21*a^5*log(a*x + b)/b^8 - 21*a^5*log(x)/b^8","A",0
1647,1,15,0,1.006828," ","integrate((a+b/x)*x^(5/2),x, algorithm=""maxima"")","\frac{2}{35} \, {\left(5 \, a + \frac{7 \, b}{x}\right)} x^{\frac{7}{2}}"," ",0,"2/35*(5*a + 7*b/x)*x^(7/2)","A",0
1648,1,15,0,1.105186," ","integrate((a+b/x)*x^(3/2),x, algorithm=""maxima"")","\frac{2}{15} \, {\left(3 \, a + \frac{5 \, b}{x}\right)} x^{\frac{5}{2}}"," ",0,"2/15*(3*a + 5*b/x)*x^(5/2)","A",0
1649,1,13,0,0.990755," ","integrate((a+b/x)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(a + \frac{3 \, b}{x}\right)} x^{\frac{3}{2}}"," ",0,"2/3*(a + 3*b/x)*x^(3/2)","A",0
1650,1,13,0,1.071041," ","integrate((a+b/x)/x^(1/2),x, algorithm=""maxima"")","2 \, a \sqrt{x} - \frac{2 \, b}{\sqrt{x}}"," ",0,"2*a*sqrt(x) - 2*b/sqrt(x)","A",0
1651,1,13,0,1.074440," ","integrate((a+b/x)/x^(3/2),x, algorithm=""maxima"")","-\frac{2 \, a}{\sqrt{x}} - \frac{2 \, b}{3 \, x^{\frac{3}{2}}}"," ",0,"-2*a/sqrt(x) - 2/3*b/x^(3/2)","A",0
1652,1,13,0,1.018919," ","integrate((a+b/x)/x^(5/2),x, algorithm=""maxima"")","-\frac{2 \, a}{3 \, x^{\frac{3}{2}}} - \frac{2 \, b}{5 \, x^{\frac{5}{2}}}"," ",0,"-2/3*a/x^(3/2) - 2/5*b/x^(5/2)","A",0
1653,1,26,0,1.054397," ","integrate((a+b/x)^2*x^(5/2),x, algorithm=""maxima"")","\frac{2}{105} \, {\left(15 \, a^{2} + \frac{42 \, a b}{x} + \frac{35 \, b^{2}}{x^{2}}\right)} x^{\frac{7}{2}}"," ",0,"2/105*(15*a^2 + 42*a*b/x + 35*b^2/x^2)*x^(7/2)","A",0
1654,1,26,0,1.023887," ","integrate((a+b/x)^2*x^(3/2),x, algorithm=""maxima"")","\frac{2}{15} \, {\left(3 \, a^{2} + \frac{10 \, a b}{x} + \frac{15 \, b^{2}}{x^{2}}\right)} x^{\frac{5}{2}}"," ",0,"2/15*(3*a^2 + 10*a*b/x + 15*b^2/x^2)*x^(5/2)","A",0
1655,1,25,0,0.981854," ","integrate((a+b/x)^2*x^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(a^{2} + \frac{6 \, a b}{x}\right)} x^{\frac{3}{2}} - \frac{2 \, b^{2}}{\sqrt{x}}"," ",0,"2/3*(a^2 + 6*a*b/x)*x^(3/2) - 2*b^2/sqrt(x)","A",0
1656,1,24,0,1.037203," ","integrate((a+b/x)^2/x^(1/2),x, algorithm=""maxima"")","2 \, a^{2} \sqrt{x} - \frac{4 \, a b}{\sqrt{x}} - \frac{2 \, b^{2}}{3 \, x^{\frac{3}{2}}}"," ",0,"2*a^2*sqrt(x) - 4*a*b/sqrt(x) - 2/3*b^2/x^(3/2)","A",0
1657,1,24,0,1.069226," ","integrate((a+b/x)^2/x^(3/2),x, algorithm=""maxima"")","-\frac{2 \, a^{2}}{\sqrt{x}} - \frac{4 \, a b}{3 \, x^{\frac{3}{2}}} - \frac{2 \, b^{2}}{5 \, x^{\frac{5}{2}}}"," ",0,"-2*a^2/sqrt(x) - 4/3*a*b/x^(3/2) - 2/5*b^2/x^(5/2)","A",0
1658,1,24,0,1.166155," ","integrate((a+b/x)^2/x^(5/2),x, algorithm=""maxima"")","-\frac{2 \, a^{2}}{3 \, x^{\frac{3}{2}}} - \frac{4 \, a b}{5 \, x^{\frac{5}{2}}} - \frac{2 \, b^{2}}{7 \, x^{\frac{7}{2}}}"," ",0,"-2/3*a^2/x^(3/2) - 4/5*a*b/x^(5/2) - 2/7*b^2/x^(7/2)","A",0
1659,1,37,0,1.064758," ","integrate((a+b/x)^3*x^(5/2),x, algorithm=""maxima"")","\frac{2}{35} \, {\left(5 \, a^{3} + \frac{21 \, a^{2} b}{x} + \frac{35 \, a b^{2}}{x^{2}} + \frac{35 \, b^{3}}{x^{3}}\right)} x^{\frac{7}{2}}"," ",0,"2/35*(5*a^3 + 21*a^2*b/x + 35*a*b^2/x^2 + 35*b^3/x^3)*x^(7/2)","A",0
1660,1,36,0,1.021121," ","integrate((a+b/x)^3*x^(3/2),x, algorithm=""maxima"")","\frac{2}{5} \, {\left(a^{3} + \frac{5 \, a^{2} b}{x} + \frac{15 \, a b^{2}}{x^{2}}\right)} x^{\frac{5}{2}} - \frac{2 \, b^{3}}{\sqrt{x}}"," ",0,"2/5*(a^3 + 5*a^2*b/x + 15*a*b^2/x^2)*x^(5/2) - 2*b^3/sqrt(x)","A",0
1661,1,36,0,0.861499," ","integrate((a+b/x)^3*x^(1/2),x, algorithm=""maxima"")","-\frac{6 \, a b^{2}}{\sqrt{x}} + \frac{2}{3} \, {\left(a^{3} + \frac{9 \, a^{2} b}{x}\right)} x^{\frac{3}{2}} - \frac{2 \, b^{3}}{3 \, x^{\frac{3}{2}}}"," ",0,"-6*a*b^2/sqrt(x) + 2/3*(a^3 + 9*a^2*b/x)*x^(3/2) - 2/3*b^3/x^(3/2)","A",0
1662,1,35,0,1.045522," ","integrate((a+b/x)^3/x^(1/2),x, algorithm=""maxima"")","2 \, a^{3} \sqrt{x} - \frac{6 \, a^{2} b}{\sqrt{x}} - \frac{2 \, a b^{2}}{x^{\frac{3}{2}}} - \frac{2 \, b^{3}}{5 \, x^{\frac{5}{2}}}"," ",0,"2*a^3*sqrt(x) - 6*a^2*b/sqrt(x) - 2*a*b^2/x^(3/2) - 2/5*b^3/x^(5/2)","A",0
1663,1,35,0,1.068479," ","integrate((a+b/x)^3/x^(3/2),x, algorithm=""maxima"")","-\frac{2 \, a^{3}}{\sqrt{x}} - \frac{2 \, a^{2} b}{x^{\frac{3}{2}}} - \frac{6 \, a b^{2}}{5 \, x^{\frac{5}{2}}} - \frac{2 \, b^{3}}{7 \, x^{\frac{7}{2}}}"," ",0,"-2*a^3/sqrt(x) - 2*a^2*b/x^(3/2) - 6/5*a*b^2/x^(5/2) - 2/7*b^3/x^(7/2)","A",0
1664,1,35,0,1.033650," ","integrate((a+b/x)^3/x^(5/2),x, algorithm=""maxima"")","-\frac{2 \, a^{3}}{3 \, x^{\frac{3}{2}}} - \frac{6 \, a^{2} b}{5 \, x^{\frac{5}{2}}} - \frac{6 \, a b^{2}}{7 \, x^{\frac{7}{2}}} - \frac{2 \, b^{3}}{9 \, x^{\frac{9}{2}}}"," ",0,"-2/3*a^3/x^(3/2) - 6/5*a^2*b/x^(5/2) - 6/7*a*b^2/x^(7/2) - 2/9*b^3/x^(9/2)","A",0
1665,1,65,0,2.292807," ","integrate(x^(5/2)/(a+b/x),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, a^{3} - \frac{21 \, a^{2} b}{x} + \frac{35 \, a b^{2}}{x^{2}} - \frac{105 \, b^{3}}{x^{3}}\right)} x^{\frac{7}{2}}}{105 \, a^{4}} - \frac{2 \, b^{4} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} a^{4}}"," ",0,"2/105*(15*a^3 - 21*a^2*b/x + 35*a*b^2/x^2 - 105*b^3/x^3)*x^(7/2)/a^4 - 2*b^4*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a^4)","A",0
1666,1,54,0,2.368580," ","integrate(x^(3/2)/(a+b/x),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, a^{2} - \frac{5 \, a b}{x} + \frac{15 \, b^{2}}{x^{2}}\right)} x^{\frac{5}{2}}}{15 \, a^{3}} + \frac{2 \, b^{3} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} a^{3}}"," ",0,"2/15*(3*a^2 - 5*a*b/x + 15*b^2/x^2)*x^(5/2)/a^3 + 2*b^3*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a^3)","A",0
1667,1,41,0,2.328762," ","integrate(x^(1/2)/(a+b/x),x, algorithm=""maxima"")","\frac{2 \, {\left(a - \frac{3 \, b}{x}\right)} x^{\frac{3}{2}}}{3 \, a^{2}} - \frac{2 \, b^{2} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} a^{2}}"," ",0,"2/3*(a - 3*b/x)*x^(3/2)/a^2 - 2*b^2*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a^2)","A",0
1668,1,31,0,2.652016," ","integrate(1/(a+b/x)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, b \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} a} + \frac{2 \, \sqrt{x}}{a}"," ",0,"2*b*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a) + 2*sqrt(x)/a","A",0
1669,1,18,0,2.328812," ","integrate(1/(a+b/x)/x^(3/2),x, algorithm=""maxima"")","-\frac{2 \, \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b}}"," ",0,"-2*arctan(b/(sqrt(a*b)*sqrt(x)))/sqrt(a*b)","A",0
1670,1,31,0,2.484330," ","integrate(1/(a+b/x)/x^(5/2),x, algorithm=""maxima"")","\frac{2 \, a \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} b} - \frac{2}{b \sqrt{x}}"," ",0,"2*a*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*b) - 2/(b*sqrt(x))","A",0
1671,1,43,0,2.308413," ","integrate(1/(a+b/x)/x^(7/2),x, algorithm=""maxima"")","-\frac{2 \, a^{2} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} b^{2}} + \frac{2 \, {\left(\frac{3 \, a}{\sqrt{x}} - \frac{b}{x^{\frac{3}{2}}}\right)}}{3 \, b^{2}}"," ",0,"-2*a^2*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*b^2) + 2/3*(3*a/sqrt(x) - b/x^(3/2))/b^2","A",0
1672,1,54,0,2.290187," ","integrate(1/(a+b/x)/x^(9/2),x, algorithm=""maxima"")","\frac{2 \, a^{3} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} b^{3}} - \frac{2 \, {\left(\frac{15 \, a^{2}}{\sqrt{x}} - \frac{5 \, a b}{x^{\frac{3}{2}}} + \frac{3 \, b^{2}}{x^{\frac{5}{2}}}\right)}}{15 \, b^{3}}"," ",0,"2*a^3*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*b^3) - 2/15*(15*a^2/sqrt(x) - 5*a*b/x^(3/2) + 3*b^2/x^(5/2))/b^3","A",0
1673,1,88,0,2.387962," ","integrate(x^(5/2)/(a+b/x)^2,x, algorithm=""maxima"")","\frac{10 \, a^{4} - \frac{18 \, a^{3} b}{x} + \frac{42 \, a^{2} b^{2}}{x^{2}} - \frac{210 \, a b^{3}}{x^{3}} - \frac{315 \, b^{4}}{x^{4}}}{35 \, {\left(\frac{a^{6}}{x^{\frac{7}{2}}} + \frac{a^{5} b}{x^{\frac{9}{2}}}\right)}} - \frac{9 \, b^{4} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} a^{5}}"," ",0,"1/35*(10*a^4 - 18*a^3*b/x + 42*a^2*b^2/x^2 - 210*a*b^3/x^3 - 315*b^4/x^4)/(a^6/x^(7/2) + a^5*b/x^(9/2)) - 9*b^4*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a^5)","A",0
1674,1,77,0,2.557940," ","integrate(x^(3/2)/(a+b/x)^2,x, algorithm=""maxima"")","\frac{6 \, a^{3} - \frac{14 \, a^{2} b}{x} + \frac{70 \, a b^{2}}{x^{2}} + \frac{105 \, b^{3}}{x^{3}}}{15 \, {\left(\frac{a^{5}}{x^{\frac{5}{2}}} + \frac{a^{4} b}{x^{\frac{7}{2}}}\right)}} + \frac{7 \, b^{3} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} a^{4}}"," ",0,"1/15*(6*a^3 - 14*a^2*b/x + 70*a*b^2/x^2 + 105*b^3/x^3)/(a^5/x^(5/2) + a^4*b/x^(7/2)) + 7*b^3*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a^4)","A",0
1675,1,66,0,2.347811," ","integrate(x^(1/2)/(a+b/x)^2,x, algorithm=""maxima"")","\frac{2 \, a^{2} - \frac{10 \, a b}{x} - \frac{15 \, b^{2}}{x^{2}}}{3 \, {\left(\frac{a^{4}}{x^{\frac{3}{2}}} + \frac{a^{3} b}{x^{\frac{5}{2}}}\right)}} - \frac{5 \, b^{2} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} a^{3}}"," ",0,"1/3*(2*a^2 - 10*a*b/x - 15*b^2/x^2)/(a^4/x^(3/2) + a^3*b/x^(5/2)) - 5*b^2*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a^3)","A",0
1676,1,52,0,2.349675," ","integrate(1/(a+b/x)^2/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, a + \frac{3 \, b}{x}}{\frac{a^{3}}{\sqrt{x}} + \frac{a^{2} b}{x^{\frac{3}{2}}}} + \frac{3 \, b \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} a^{2}}"," ",0,"(2*a + 3*b/x)/(a^3/sqrt(x) + a^2*b/x^(3/2)) + 3*b*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a^2)","A",0
1677,1,39,0,2.347383," ","integrate(1/(a+b/x)^2/x^(3/2),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} a} - \frac{1}{{\left(a^{2} + \frac{a b}{x}\right)} \sqrt{x}}"," ",0,"-arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a) - 1/((a^2 + a*b/x)*sqrt(x))","A",0
1678,1,39,0,2.334293," ","integrate(1/(a+b/x)^2/x^(5/2),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} b} + \frac{1}{{\left(a b + \frac{b^{2}}{x}\right)} \sqrt{x}}"," ",0,"-arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*b) + 1/((a*b + b^2/x)*sqrt(x))","A",0
1679,1,52,0,2.349660," ","integrate(1/(a+b/x)^2/x^(7/2),x, algorithm=""maxima"")","-\frac{a}{{\left(a b^{2} + \frac{b^{3}}{x}\right)} \sqrt{x}} + \frac{3 \, a \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} b^{2}} - \frac{2}{b^{2} \sqrt{x}}"," ",0,"-a/((a*b^2 + b^3/x)*sqrt(x)) + 3*a*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*b^2) - 2/(b^2*sqrt(x))","A",0
1680,1,65,0,2.236550," ","integrate(1/(a+b/x)^2/x^(9/2),x, algorithm=""maxima"")","\frac{a^{2}}{{\left(a b^{3} + \frac{b^{4}}{x}\right)} \sqrt{x}} - \frac{5 \, a^{2} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} b^{3}} + \frac{2 \, {\left(\frac{6 \, a}{\sqrt{x}} - \frac{b}{x^{\frac{3}{2}}}\right)}}{3 \, b^{3}}"," ",0,"a^2/((a*b^3 + b^4/x)*sqrt(x)) - 5*a^2*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*b^3) + 2/3*(6*a/sqrt(x) - b/x^(3/2))/b^3","A",0
1681,1,77,0,2.303963," ","integrate(1/(a+b/x)^2/x^(11/2),x, algorithm=""maxima"")","-\frac{a^{3}}{{\left(a b^{4} + \frac{b^{5}}{x}\right)} \sqrt{x}} + \frac{7 \, a^{3} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{\sqrt{a b} b^{4}} - \frac{2 \, {\left(\frac{45 \, a^{2}}{\sqrt{x}} - \frac{10 \, a b}{x^{\frac{3}{2}}} + \frac{3 \, b^{2}}{x^{\frac{5}{2}}}\right)}}{15 \, b^{4}}"," ",0,"-a^3/((a*b^4 + b^5/x)*sqrt(x)) + 7*a^3*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*b^4) - 2/15*(45*a^2/sqrt(x) - 10*a*b/x^(3/2) + 3*b^2/x^(5/2))/b^4","A",0
1682,1,99,0,2.362995," ","integrate(x^(3/2)/(a+b/x)^3,x, algorithm=""maxima"")","\frac{8 \, a^{4} - \frac{24 \, a^{3} b}{x} + \frac{168 \, a^{2} b^{2}}{x^{2}} + \frac{525 \, a b^{3}}{x^{3}} + \frac{315 \, b^{4}}{x^{4}}}{20 \, {\left(\frac{a^{7}}{x^{\frac{5}{2}}} + \frac{2 \, a^{6} b}{x^{\frac{7}{2}}} + \frac{a^{5} b^{2}}{x^{\frac{9}{2}}}\right)}} + \frac{63 \, b^{3} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{4 \, \sqrt{a b} a^{5}}"," ",0,"1/20*(8*a^4 - 24*a^3*b/x + 168*a^2*b^2/x^2 + 525*a*b^3/x^3 + 315*b^4/x^4)/(a^7/x^(5/2) + 2*a^6*b/x^(7/2) + a^5*b^2/x^(9/2)) + 63/4*b^3*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a^5)","A",0
1683,1,88,0,2.366769," ","integrate(x^(1/2)/(a+b/x)^3,x, algorithm=""maxima"")","\frac{8 \, a^{3} - \frac{56 \, a^{2} b}{x} - \frac{175 \, a b^{2}}{x^{2}} - \frac{105 \, b^{3}}{x^{3}}}{12 \, {\left(\frac{a^{6}}{x^{\frac{3}{2}}} + \frac{2 \, a^{5} b}{x^{\frac{5}{2}}} + \frac{a^{4} b^{2}}{x^{\frac{7}{2}}}\right)}} - \frac{35 \, b^{2} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{4 \, \sqrt{a b} a^{4}}"," ",0,"1/12*(8*a^3 - 56*a^2*b/x - 175*a*b^2/x^2 - 105*b^3/x^3)/(a^6/x^(3/2) + 2*a^5*b/x^(5/2) + a^4*b^2/x^(7/2)) - 35/4*b^2*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a^4)","A",0
1684,1,75,0,2.410569," ","integrate(1/(a+b/x)^3/x^(1/2),x, algorithm=""maxima"")","\frac{8 \, a^{2} + \frac{25 \, a b}{x} + \frac{15 \, b^{2}}{x^{2}}}{4 \, {\left(\frac{a^{5}}{\sqrt{x}} + \frac{2 \, a^{4} b}{x^{\frac{3}{2}}} + \frac{a^{3} b^{2}}{x^{\frac{5}{2}}}\right)}} + \frac{15 \, b \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{4 \, \sqrt{a b} a^{3}}"," ",0,"1/4*(8*a^2 + 25*a*b/x + 15*b^2/x^2)/(a^5/sqrt(x) + 2*a^4*b/x^(3/2) + a^3*b^2/x^(5/2)) + 15/4*b*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a^3)","A",0
1685,1,62,0,2.327495," ","integrate(1/(a+b/x)^3/x^(3/2),x, algorithm=""maxima"")","-\frac{\frac{5 \, a}{\sqrt{x}} + \frac{3 \, b}{x^{\frac{3}{2}}}}{4 \, {\left(a^{4} + \frac{2 \, a^{3} b}{x} + \frac{a^{2} b^{2}}{x^{2}}\right)}} - \frac{3 \, \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{4 \, \sqrt{a b} a^{2}}"," ",0,"-1/4*(5*a/sqrt(x) + 3*b/x^(3/2))/(a^4 + 2*a^3*b/x + a^2*b^2/x^2) - 3/4*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a^2)","A",0
1686,1,66,0,2.202230," ","integrate(1/(a+b/x)^3/x^(5/2),x, algorithm=""maxima"")","\frac{\frac{a}{\sqrt{x}} - \frac{b}{x^{\frac{3}{2}}}}{4 \, {\left(a^{3} b + \frac{2 \, a^{2} b^{2}}{x} + \frac{a b^{3}}{x^{2}}\right)}} - \frac{\arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{4 \, \sqrt{a b} a b}"," ",0,"1/4*(a/sqrt(x) - b/x^(3/2))/(a^3*b + 2*a^2*b^2/x + a*b^3/x^2) - 1/4*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*a*b)","A",0
1687,1,63,0,2.371732," ","integrate(1/(a+b/x)^3/x^(7/2),x, algorithm=""maxima"")","\frac{\frac{3 \, a}{\sqrt{x}} + \frac{5 \, b}{x^{\frac{3}{2}}}}{4 \, {\left(a^{2} b^{2} + \frac{2 \, a b^{3}}{x} + \frac{b^{4}}{x^{2}}\right)}} - \frac{3 \, \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{4 \, \sqrt{a b} b^{2}}"," ",0,"1/4*(3*a/sqrt(x) + 5*b/x^(3/2))/(a^2*b^2 + 2*a*b^3/x + b^4/x^2) - 3/4*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*b^2)","A",0
1688,1,75,0,2.416047," ","integrate(1/(a+b/x)^3/x^(9/2),x, algorithm=""maxima"")","-\frac{\frac{7 \, a^{2}}{\sqrt{x}} + \frac{9 \, a b}{x^{\frac{3}{2}}}}{4 \, {\left(a^{2} b^{3} + \frac{2 \, a b^{4}}{x} + \frac{b^{5}}{x^{2}}\right)}} + \frac{15 \, a \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{4 \, \sqrt{a b} b^{3}} - \frac{2}{b^{3} \sqrt{x}}"," ",0,"-1/4*(7*a^2/sqrt(x) + 9*a*b/x^(3/2))/(a^2*b^3 + 2*a*b^4/x + b^5/x^2) + 15/4*a*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*b^3) - 2/(b^3*sqrt(x))","A",0
1689,1,89,0,2.360784," ","integrate(1/(a+b/x)^3/x^(11/2),x, algorithm=""maxima"")","\frac{\frac{11 \, a^{3}}{\sqrt{x}} + \frac{13 \, a^{2} b}{x^{\frac{3}{2}}}}{4 \, {\left(a^{2} b^{4} + \frac{2 \, a b^{5}}{x} + \frac{b^{6}}{x^{2}}\right)}} - \frac{35 \, a^{2} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{4 \, \sqrt{a b} b^{4}} + \frac{2 \, {\left(\frac{9 \, a}{\sqrt{x}} - \frac{b}{x^{\frac{3}{2}}}\right)}}{3 \, b^{4}}"," ",0,"1/4*(11*a^3/sqrt(x) + 13*a^2*b/x^(3/2))/(a^2*b^4 + 2*a*b^5/x + b^6/x^2) - 35/4*a^2*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*b^4) + 2/3*(9*a/sqrt(x) - b/x^(3/2))/b^4","A",0
1690,1,99,0,2.306817," ","integrate(1/(a+b/x)^3/x^(13/2),x, algorithm=""maxima"")","-\frac{\frac{15 \, a^{4}}{\sqrt{x}} + \frac{17 \, a^{3} b}{x^{\frac{3}{2}}}}{4 \, {\left(a^{2} b^{5} + \frac{2 \, a b^{6}}{x} + \frac{b^{7}}{x^{2}}\right)}} + \frac{63 \, a^{3} \arctan\left(\frac{b}{\sqrt{a b} \sqrt{x}}\right)}{4 \, \sqrt{a b} b^{5}} - \frac{2 \, {\left(\frac{30 \, a^{2}}{\sqrt{x}} - \frac{5 \, a b}{x^{\frac{3}{2}}} + \frac{b^{2}}{x^{\frac{5}{2}}}\right)}}{5 \, b^{5}}"," ",0,"-1/4*(15*a^4/sqrt(x) + 17*a^3*b/x^(3/2))/(a^2*b^5 + 2*a*b^6/x + b^7/x^2) + 63/4*a^3*arctan(b/(sqrt(a*b)*sqrt(x)))/(sqrt(a*b)*b^5) - 2/5*(30*a^2/sqrt(x) - 5*a*b/x^(3/2) + b^2/x^(5/2))/b^5","A",0
1691,1,166,0,2.367565," ","integrate(x^3*(a+b/x)^(1/2),x, algorithm=""maxima"")","\frac{5 \, b^{4} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{128 \, a^{\frac{7}{2}}} + \frac{15 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} b^{4} - 55 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a b^{4} + 73 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2} b^{4} + 15 \, \sqrt{a + \frac{b}{x}} a^{3} b^{4}}{192 \, {\left({\left(a + \frac{b}{x}\right)}^{4} a^{3} - 4 \, {\left(a + \frac{b}{x}\right)}^{3} a^{4} + 6 \, {\left(a + \frac{b}{x}\right)}^{2} a^{5} - 4 \, {\left(a + \frac{b}{x}\right)} a^{6} + a^{7}\right)}}"," ",0,"5/128*b^4*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(7/2) + 1/192*(15*(a + b/x)^(7/2)*b^4 - 55*(a + b/x)^(5/2)*a*b^4 + 73*(a + b/x)^(3/2)*a^2*b^4 + 15*sqrt(a + b/x)*a^3*b^4)/((a + b/x)^4*a^3 - 4*(a + b/x)^3*a^4 + 6*(a + b/x)^2*a^5 - 4*(a + b/x)*a^6 + a^7)","A",0
1692,1,137,0,2.345621," ","integrate(x^2*(a+b/x)^(1/2),x, algorithm=""maxima"")","-\frac{b^{3} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{16 \, a^{\frac{5}{2}}} - \frac{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b^{3} - 8 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a b^{3} - 3 \, \sqrt{a + \frac{b}{x}} a^{2} b^{3}}{24 \, {\left({\left(a + \frac{b}{x}\right)}^{3} a^{2} - 3 \, {\left(a + \frac{b}{x}\right)}^{2} a^{3} + 3 \, {\left(a + \frac{b}{x}\right)} a^{4} - a^{5}\right)}}"," ",0,"-1/16*b^3*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(5/2) - 1/24*(3*(a + b/x)^(5/2)*b^3 - 8*(a + b/x)^(3/2)*a*b^3 - 3*sqrt(a + b/x)*a^2*b^3)/((a + b/x)^3*a^2 - 3*(a + b/x)^2*a^3 + 3*(a + b/x)*a^4 - a^5)","A",0
1693,1,100,0,2.393530," ","integrate(x*(a+b/x)^(1/2),x, algorithm=""maxima"")","\frac{b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{8 \, a^{\frac{3}{2}}} + \frac{{\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{2} + \sqrt{a + \frac{b}{x}} a b^{2}}{4 \, {\left({\left(a + \frac{b}{x}\right)}^{2} a - 2 \, {\left(a + \frac{b}{x}\right)} a^{2} + a^{3}\right)}}"," ",0,"1/8*b^2*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(3/2) + 1/4*((a + b/x)^(3/2)*b^2 + sqrt(a + b/x)*a*b^2)/((a + b/x)^2*a - 2*(a + b/x)*a^2 + a^3)","A",0
1694,1,50,0,2.380396," ","integrate((a+b/x)^(1/2),x, algorithm=""maxima"")","\sqrt{a + \frac{b}{x}} x - \frac{b \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{2 \, \sqrt{a}}"," ",0,"sqrt(a + b/x)*x - 1/2*b*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/sqrt(a)","A",0
1695,1,49,0,2.386804," ","integrate((a+b/x)^(1/2)/x,x, algorithm=""maxima"")","-\sqrt{a} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right) - 2 \, \sqrt{a + \frac{b}{x}}"," ",0,"-sqrt(a)*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a))) - 2*sqrt(a + b/x)","A",0
1696,1,14,0,1.074347," ","integrate((a+b/x)^(1/2)/x^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"-2/3*(a + b/x)^(3/2)/b","A",0
1697,1,30,0,0.961391," ","integrate((a+b/x)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}}}{5 \, b^{2}} + \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a}{3 \, b^{2}}"," ",0,"-2/5*(a + b/x)^(5/2)/b^2 + 2/3*(a + b/x)^(3/2)*a/b^2","A",0
1698,1,47,0,1.063458," ","integrate((a+b/x)^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}}}{7 \, b^{3}} + \frac{4 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a}{5 \, b^{3}} - \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2}}{3 \, b^{3}}"," ",0,"-2/7*(a + b/x)^(7/2)/b^3 + 4/5*(a + b/x)^(5/2)*a/b^3 - 2/3*(a + b/x)^(3/2)*a^2/b^3","A",0
1699,1,64,0,0.952732," ","integrate((a+b/x)^(1/2)/x^5,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}}}{9 \, b^{4}} + \frac{6 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a}{7 \, b^{4}} - \frac{6 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{2}}{5 \, b^{4}} + \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{3}}{3 \, b^{4}}"," ",0,"-2/9*(a + b/x)^(9/2)/b^4 + 6/7*(a + b/x)^(7/2)*a/b^4 - 6/5*(a + b/x)^(5/2)*a^2/b^4 + 2/3*(a + b/x)^(3/2)*a^3/b^4","A",0
1700,1,81,0,1.039283," ","integrate((a+b/x)^(1/2)/x^6,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{11}{2}}}{11 \, b^{5}} + \frac{8 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} a}{9 \, b^{5}} - \frac{12 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a^{2}}{7 \, b^{5}} + \frac{8 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{3}}{5 \, b^{5}} - \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{4}}{3 \, b^{5}}"," ",0,"-2/11*(a + b/x)^(11/2)/b^5 + 8/9*(a + b/x)^(9/2)*a/b^5 - 12/7*(a + b/x)^(7/2)*a^2/b^5 + 8/5*(a + b/x)^(5/2)*a^3/b^5 - 2/3*(a + b/x)^(3/2)*a^4/b^5","A",0
1701,1,166,0,2.275918," ","integrate((a+b/x)^(3/2)*x^3,x, algorithm=""maxima"")","-\frac{3 \, b^{4} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{128 \, a^{\frac{5}{2}}} - \frac{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} b^{4} - 11 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a b^{4} - 11 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2} b^{4} + 3 \, \sqrt{a + \frac{b}{x}} a^{3} b^{4}}{64 \, {\left({\left(a + \frac{b}{x}\right)}^{4} a^{2} - 4 \, {\left(a + \frac{b}{x}\right)}^{3} a^{3} + 6 \, {\left(a + \frac{b}{x}\right)}^{2} a^{4} - 4 \, {\left(a + \frac{b}{x}\right)} a^{5} + a^{6}\right)}}"," ",0,"-3/128*b^4*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(5/2) - 1/64*(3*(a + b/x)^(7/2)*b^4 - 11*(a + b/x)^(5/2)*a*b^4 - 11*(a + b/x)^(3/2)*a^2*b^4 + 3*sqrt(a + b/x)*a^3*b^4)/((a + b/x)^4*a^2 - 4*(a + b/x)^3*a^3 + 6*(a + b/x)^2*a^4 - 4*(a + b/x)*a^5 + a^6)","A",0
1702,1,135,0,2.335354," ","integrate((a+b/x)^(3/2)*x^2,x, algorithm=""maxima"")","\frac{b^{3} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{16 \, a^{\frac{3}{2}}} + \frac{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b^{3} + 8 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a b^{3} - 3 \, \sqrt{a + \frac{b}{x}} a^{2} b^{3}}{24 \, {\left({\left(a + \frac{b}{x}\right)}^{3} a - 3 \, {\left(a + \frac{b}{x}\right)}^{2} a^{2} + 3 \, {\left(a + \frac{b}{x}\right)} a^{3} - a^{4}\right)}}"," ",0,"1/16*b^3*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(3/2) + 1/24*(3*(a + b/x)^(5/2)*b^3 + 8*(a + b/x)^(3/2)*a*b^3 - 3*sqrt(a + b/x)*a^2*b^3)/((a + b/x)^3*a - 3*(a + b/x)^2*a^2 + 3*(a + b/x)*a^3 - a^4)","A",0
1703,1,98,0,2.227862," ","integrate((a+b/x)^(3/2)*x,x, algorithm=""maxima"")","-\frac{3 \, b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{8 \, \sqrt{a}} + \frac{5 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{2} - 3 \, \sqrt{a + \frac{b}{x}} a b^{2}}{4 \, {\left({\left(a + \frac{b}{x}\right)}^{2} - 2 \, {\left(a + \frac{b}{x}\right)} a + a^{2}\right)}}"," ",0,"-3/8*b^2*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/sqrt(a) + 1/4*(5*(a + b/x)^(3/2)*b^2 - 3*sqrt(a + b/x)*a*b^2)/((a + b/x)^2 - 2*(a + b/x)*a + a^2)","A",0
1704,1,63,0,2.358654," ","integrate((a+b/x)^(3/2),x, algorithm=""maxima"")","\sqrt{a + \frac{b}{x}} a x - \frac{3}{2} \, \sqrt{a} b \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right) - 2 \, \sqrt{a + \frac{b}{x}} b"," ",0,"sqrt(a + b/x)*a*x - 3/2*sqrt(a)*b*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a))) - 2*sqrt(a + b/x)*b","A",0
1705,1,61,0,2.307143," ","integrate((a+b/x)^(3/2)/x,x, algorithm=""maxima"")","-a^{\frac{3}{2}} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right) - \frac{2}{3} \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} - 2 \, \sqrt{a + \frac{b}{x}} a"," ",0,"-a^(3/2)*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a))) - 2/3*(a + b/x)^(3/2) - 2*sqrt(a + b/x)*a","A",0
1706,1,14,0,0.972052," ","integrate((a+b/x)^(3/2)/x^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}}}{5 \, b}"," ",0,"-2/5*(a + b/x)^(5/2)/b","A",0
1707,1,30,0,1.048609," ","integrate((a+b/x)^(3/2)/x^3,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}}}{7 \, b^{2}} + \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a}{5 \, b^{2}}"," ",0,"-2/7*(a + b/x)^(7/2)/b^2 + 2/5*(a + b/x)^(5/2)*a/b^2","A",0
1708,1,47,0,0.987188," ","integrate((a+b/x)^(3/2)/x^4,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}}}{9 \, b^{3}} + \frac{4 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a}{7 \, b^{3}} - \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{2}}{5 \, b^{3}}"," ",0,"-2/9*(a + b/x)^(9/2)/b^3 + 4/7*(a + b/x)^(7/2)*a/b^3 - 2/5*(a + b/x)^(5/2)*a^2/b^3","A",0
1709,1,64,0,1.052693," ","integrate((a+b/x)^(3/2)/x^5,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{11}{2}}}{11 \, b^{4}} + \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} a}{3 \, b^{4}} - \frac{6 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a^{2}}{7 \, b^{4}} + \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{3}}{5 \, b^{4}}"," ",0,"-2/11*(a + b/x)^(11/2)/b^4 + 2/3*(a + b/x)^(9/2)*a/b^4 - 6/7*(a + b/x)^(7/2)*a^2/b^4 + 2/5*(a + b/x)^(5/2)*a^3/b^4","A",0
1710,1,81,0,1.057556," ","integrate((a+b/x)^(3/2)/x^6,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{13}{2}}}{13 \, b^{5}} + \frac{8 \, {\left(a + \frac{b}{x}\right)}^{\frac{11}{2}} a}{11 \, b^{5}} - \frac{4 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} a^{2}}{3 \, b^{5}} + \frac{8 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a^{3}}{7 \, b^{5}} - \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{4}}{5 \, b^{5}}"," ",0,"-2/13*(a + b/x)^(13/2)/b^5 + 8/11*(a + b/x)^(11/2)*a/b^5 - 4/3*(a + b/x)^(9/2)*a^2/b^5 + 8/7*(a + b/x)^(7/2)*a^3/b^5 - 2/5*(a + b/x)^(5/2)*a^4/b^5","A",0
1711,1,98,0,0.967635," ","integrate((a+b/x)^(3/2)/x^7,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{15}{2}}}{15 \, b^{6}} + \frac{10 \, {\left(a + \frac{b}{x}\right)}^{\frac{13}{2}} a}{13 \, b^{6}} - \frac{20 \, {\left(a + \frac{b}{x}\right)}^{\frac{11}{2}} a^{2}}{11 \, b^{6}} + \frac{20 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} a^{3}}{9 \, b^{6}} - \frac{10 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a^{4}}{7 \, b^{6}} + \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{5}}{5 \, b^{6}}"," ",0,"-2/15*(a + b/x)^(15/2)/b^6 + 10/13*(a + b/x)^(13/2)*a/b^6 - 20/11*(a + b/x)^(11/2)*a^2/b^6 + 20/9*(a + b/x)^(9/2)*a^3/b^6 - 10/7*(a + b/x)^(7/2)*a^4/b^6 + 2/5*(a + b/x)^(5/2)*a^5/b^6","A",0
1712,1,164,0,2.289786," ","integrate((a+b/x)^(5/2)*x^3,x, algorithm=""maxima"")","\frac{5 \, b^{4} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{128 \, a^{\frac{3}{2}}} + \frac{15 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} b^{4} + 73 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a b^{4} - 55 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2} b^{4} + 15 \, \sqrt{a + \frac{b}{x}} a^{3} b^{4}}{192 \, {\left({\left(a + \frac{b}{x}\right)}^{4} a - 4 \, {\left(a + \frac{b}{x}\right)}^{3} a^{2} + 6 \, {\left(a + \frac{b}{x}\right)}^{2} a^{3} - 4 \, {\left(a + \frac{b}{x}\right)} a^{4} + a^{5}\right)}}"," ",0,"5/128*b^4*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(3/2) + 1/192*(15*(a + b/x)^(7/2)*b^4 + 73*(a + b/x)^(5/2)*a*b^4 - 55*(a + b/x)^(3/2)*a^2*b^4 + 15*sqrt(a + b/x)*a^3*b^4)/((a + b/x)^4*a - 4*(a + b/x)^3*a^2 + 6*(a + b/x)^2*a^3 - 4*(a + b/x)*a^4 + a^5)","A",0
1713,1,131,0,2.310006," ","integrate((a+b/x)^(5/2)*x^2,x, algorithm=""maxima"")","-\frac{5 \, b^{3} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{16 \, \sqrt{a}} + \frac{33 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b^{3} - 40 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a b^{3} + 15 \, \sqrt{a + \frac{b}{x}} a^{2} b^{3}}{24 \, {\left({\left(a + \frac{b}{x}\right)}^{3} - 3 \, {\left(a + \frac{b}{x}\right)}^{2} a + 3 \, {\left(a + \frac{b}{x}\right)} a^{2} - a^{3}\right)}}"," ",0,"-5/16*b^3*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/sqrt(a) + 1/24*(33*(a + b/x)^(5/2)*b^3 - 40*(a + b/x)^(3/2)*a*b^3 + 15*sqrt(a + b/x)*a^2*b^3)/((a + b/x)^3 - 3*(a + b/x)^2*a + 3*(a + b/x)*a^2 - a^3)","A",0
1714,1,115,0,2.527366," ","integrate((a+b/x)^(5/2)*x,x, algorithm=""maxima"")","-\frac{15}{8} \, \sqrt{a} b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right) - 2 \, \sqrt{a + \frac{b}{x}} b^{2} + \frac{9 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a b^{2} - 7 \, \sqrt{a + \frac{b}{x}} a^{2} b^{2}}{4 \, {\left({\left(a + \frac{b}{x}\right)}^{2} - 2 \, {\left(a + \frac{b}{x}\right)} a + a^{2}\right)}}"," ",0,"-15/8*sqrt(a)*b^2*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a))) - 2*sqrt(a + b/x)*b^2 + 1/4*(9*(a + b/x)^(3/2)*a*b^2 - 7*sqrt(a + b/x)*a^2*b^2)/((a + b/x)^2 - 2*(a + b/x)*a + a^2)","A",0
1715,1,78,0,2.428931," ","integrate((a+b/x)^(5/2),x, algorithm=""maxima"")","\sqrt{a + \frac{b}{x}} a^{2} x - \frac{5}{2} \, a^{\frac{3}{2}} b \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right) - \frac{2}{3} \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b - 4 \, \sqrt{a + \frac{b}{x}} a b"," ",0,"sqrt(a + b/x)*a^2*x - 5/2*a^(3/2)*b*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a))) - 2/3*(a + b/x)^(3/2)*b - 4*sqrt(a + b/x)*a*b","A",0
1716,1,75,0,2.433628," ","integrate((a+b/x)^(5/2)/x,x, algorithm=""maxima"")","-a^{\frac{5}{2}} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right) - \frac{2}{5} \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} - \frac{2}{3} \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a - 2 \, \sqrt{a + \frac{b}{x}} a^{2}"," ",0,"-a^(5/2)*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a))) - 2/5*(a + b/x)^(5/2) - 2/3*(a + b/x)^(3/2)*a - 2*sqrt(a + b/x)*a^2","A",0
1717,1,14,0,1.075602," ","integrate((a+b/x)^(5/2)/x^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}}}{7 \, b}"," ",0,"-2/7*(a + b/x)^(7/2)/b","A",0
1718,1,30,0,0.993654," ","integrate((a+b/x)^(5/2)/x^3,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}}}{9 \, b^{2}} + \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a}{7 \, b^{2}}"," ",0,"-2/9*(a + b/x)^(9/2)/b^2 + 2/7*(a + b/x)^(7/2)*a/b^2","A",0
1719,1,47,0,0.989811," ","integrate((a+b/x)^(5/2)/x^4,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{11}{2}}}{11 \, b^{3}} + \frac{4 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} a}{9 \, b^{3}} - \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a^{2}}{7 \, b^{3}}"," ",0,"-2/11*(a + b/x)^(11/2)/b^3 + 4/9*(a + b/x)^(9/2)*a/b^3 - 2/7*(a + b/x)^(7/2)*a^2/b^3","A",0
1720,1,64,0,1.073347," ","integrate((a+b/x)^(5/2)/x^5,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{13}{2}}}{13 \, b^{4}} + \frac{6 \, {\left(a + \frac{b}{x}\right)}^{\frac{11}{2}} a}{11 \, b^{4}} - \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} a^{2}}{3 \, b^{4}} + \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a^{3}}{7 \, b^{4}}"," ",0,"-2/13*(a + b/x)^(13/2)/b^4 + 6/11*(a + b/x)^(11/2)*a/b^4 - 2/3*(a + b/x)^(9/2)*a^2/b^4 + 2/7*(a + b/x)^(7/2)*a^3/b^4","A",0
1721,1,81,0,1.048690," ","integrate((a+b/x)^(5/2)/x^6,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{15}{2}}}{15 \, b^{5}} + \frac{8 \, {\left(a + \frac{b}{x}\right)}^{\frac{13}{2}} a}{13 \, b^{5}} - \frac{12 \, {\left(a + \frac{b}{x}\right)}^{\frac{11}{2}} a^{2}}{11 \, b^{5}} + \frac{8 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} a^{3}}{9 \, b^{5}} - \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a^{4}}{7 \, b^{5}}"," ",0,"-2/15*(a + b/x)^(15/2)/b^5 + 8/13*(a + b/x)^(13/2)*a/b^5 - 12/11*(a + b/x)^(11/2)*a^2/b^5 + 8/9*(a + b/x)^(9/2)*a^3/b^5 - 2/7*(a + b/x)^(7/2)*a^4/b^5","A",0
1722,1,166,0,2.416003," ","integrate(x^3/(a+b/x)^(1/2),x, algorithm=""maxima"")","-\frac{35 \, b^{4} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{128 \, a^{\frac{9}{2}}} - \frac{105 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} b^{4} - 385 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a b^{4} + 511 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2} b^{4} - 279 \, \sqrt{a + \frac{b}{x}} a^{3} b^{4}}{192 \, {\left({\left(a + \frac{b}{x}\right)}^{4} a^{4} - 4 \, {\left(a + \frac{b}{x}\right)}^{3} a^{5} + 6 \, {\left(a + \frac{b}{x}\right)}^{2} a^{6} - 4 \, {\left(a + \frac{b}{x}\right)} a^{7} + a^{8}\right)}}"," ",0,"-35/128*b^4*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(9/2) - 1/192*(105*(a + b/x)^(7/2)*b^4 - 385*(a + b/x)^(5/2)*a*b^4 + 511*(a + b/x)^(3/2)*a^2*b^4 - 279*sqrt(a + b/x)*a^3*b^4)/((a + b/x)^4*a^4 - 4*(a + b/x)^3*a^5 + 6*(a + b/x)^2*a^6 - 4*(a + b/x)*a^7 + a^8)","A",0
1723,1,137,0,2.345227," ","integrate(x^2/(a+b/x)^(1/2),x, algorithm=""maxima"")","\frac{5 \, b^{3} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{16 \, a^{\frac{7}{2}}} + \frac{15 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b^{3} - 40 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a b^{3} + 33 \, \sqrt{a + \frac{b}{x}} a^{2} b^{3}}{24 \, {\left({\left(a + \frac{b}{x}\right)}^{3} a^{3} - 3 \, {\left(a + \frac{b}{x}\right)}^{2} a^{4} + 3 \, {\left(a + \frac{b}{x}\right)} a^{5} - a^{6}\right)}}"," ",0,"5/16*b^3*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(7/2) + 1/24*(15*(a + b/x)^(5/2)*b^3 - 40*(a + b/x)^(3/2)*a*b^3 + 33*sqrt(a + b/x)*a^2*b^3)/((a + b/x)^3*a^3 - 3*(a + b/x)^2*a^4 + 3*(a + b/x)*a^5 - a^6)","A",0
1724,1,104,0,2.335096," ","integrate(x/(a+b/x)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{8 \, a^{\frac{5}{2}}} - \frac{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{2} - 5 \, \sqrt{a + \frac{b}{x}} a b^{2}}{4 \, {\left({\left(a + \frac{b}{x}\right)}^{2} a^{2} - 2 \, {\left(a + \frac{b}{x}\right)} a^{3} + a^{4}\right)}}"," ",0,"-3/8*b^2*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(5/2) - 1/4*(3*(a + b/x)^(3/2)*b^2 - 5*sqrt(a + b/x)*a*b^2)/((a + b/x)^2*a^2 - 2*(a + b/x)*a^3 + a^4)","A",0
1725,1,67,0,2.228050," ","integrate(1/(a+b/x)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{a + \frac{b}{x}} b}{{\left(a + \frac{b}{x}\right)} a - a^{2}} + \frac{b \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{2 \, a^{\frac{3}{2}}}"," ",0,"sqrt(a + b/x)*b/((a + b/x)*a - a^2) + 1/2*b*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(3/2)","A",0
1726,1,37,0,2.336506," ","integrate(1/x/(a+b/x)^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{\sqrt{a}}"," ",0,"-log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/sqrt(a)","A",0
1727,1,14,0,1.144425," ","integrate(1/x^2/(a+b/x)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{a + \frac{b}{x}}}{b}"," ",0,"-2*sqrt(a + b/x)/b","A",0
1728,1,30,0,0.904634," ","integrate(1/x^3/(a+b/x)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}}}{3 \, b^{2}} + \frac{2 \, \sqrt{a + \frac{b}{x}} a}{b^{2}}"," ",0,"-2/3*(a + b/x)^(3/2)/b^2 + 2*sqrt(a + b/x)*a/b^2","A",0
1729,1,47,0,1.045445," ","integrate(1/x^4/(a+b/x)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}}}{5 \, b^{3}} + \frac{4 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a}{3 \, b^{3}} - \frac{2 \, \sqrt{a + \frac{b}{x}} a^{2}}{b^{3}}"," ",0,"-2/5*(a + b/x)^(5/2)/b^3 + 4/3*(a + b/x)^(3/2)*a/b^3 - 2*sqrt(a + b/x)*a^2/b^3","A",0
1730,1,64,0,0.980668," ","integrate(1/x^5/(a+b/x)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}}}{7 \, b^{4}} + \frac{6 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a}{5 \, b^{4}} - \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2}}{b^{4}} + \frac{2 \, \sqrt{a + \frac{b}{x}} a^{3}}{b^{4}}"," ",0,"-2/7*(a + b/x)^(7/2)/b^4 + 6/5*(a + b/x)^(5/2)*a/b^4 - 2*(a + b/x)^(3/2)*a^2/b^4 + 2*sqrt(a + b/x)*a^3/b^4","A",0
1731,1,81,0,0.956554," ","integrate(1/x^6/(a+b/x)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}}}{9 \, b^{5}} + \frac{8 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a}{7 \, b^{5}} - \frac{12 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{2}}{5 \, b^{5}} + \frac{8 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{3}}{3 \, b^{5}} - \frac{2 \, \sqrt{a + \frac{b}{x}} a^{4}}{b^{5}}"," ",0,"-2/9*(a + b/x)^(9/2)/b^5 + 8/7*(a + b/x)^(7/2)*a/b^5 - 12/5*(a + b/x)^(5/2)*a^2/b^5 + 8/3*(a + b/x)^(3/2)*a^3/b^5 - 2*sqrt(a + b/x)*a^4/b^5","A",0
1732,1,154,0,2.439723," ","integrate(x^2/(a+b/x)^(3/2),x, algorithm=""maxima"")","\frac{105 \, {\left(a + \frac{b}{x}\right)}^{3} b^{3} - 280 \, {\left(a + \frac{b}{x}\right)}^{2} a b^{3} + 231 \, {\left(a + \frac{b}{x}\right)} a^{2} b^{3} - 48 \, a^{3} b^{3}}{24 \, {\left({\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a^{4} - 3 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{5} + 3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{6} - \sqrt{a + \frac{b}{x}} a^{7}\right)}} + \frac{35 \, b^{3} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{16 \, a^{\frac{9}{2}}}"," ",0,"1/24*(105*(a + b/x)^3*b^3 - 280*(a + b/x)^2*a*b^3 + 231*(a + b/x)*a^2*b^3 - 48*a^3*b^3)/((a + b/x)^(7/2)*a^4 - 3*(a + b/x)^(5/2)*a^5 + 3*(a + b/x)^(3/2)*a^6 - sqrt(a + b/x)*a^7) + 35/16*b^3*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(9/2)","A",0
1733,1,122,0,2.371411," ","integrate(x/(a+b/x)^(3/2),x, algorithm=""maxima"")","-\frac{15 \, {\left(a + \frac{b}{x}\right)}^{2} b^{2} - 25 \, {\left(a + \frac{b}{x}\right)} a b^{2} + 8 \, a^{2} b^{2}}{4 \, {\left({\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{3} - 2 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{4} + \sqrt{a + \frac{b}{x}} a^{5}\right)}} - \frac{15 \, b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{8 \, a^{\frac{7}{2}}}"," ",0,"-1/4*(15*(a + b/x)^2*b^2 - 25*(a + b/x)*a*b^2 + 8*a^2*b^2)/((a + b/x)^(5/2)*a^3 - 2*(a + b/x)^(3/2)*a^4 + sqrt(a + b/x)*a^5) - 15/8*b^2*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(7/2)","A",0
1734,1,85,0,2.308275," ","integrate(1/(a+b/x)^(3/2),x, algorithm=""maxima"")","\frac{3 \, {\left(a + \frac{b}{x}\right)} b - 2 \, a b}{{\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2} - \sqrt{a + \frac{b}{x}} a^{3}} + \frac{3 \, b \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{2 \, a^{\frac{5}{2}}}"," ",0,"(3*(a + b/x)*b - 2*a*b)/((a + b/x)^(3/2)*a^2 - sqrt(a + b/x)*a^3) + 3/2*b*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(5/2)","A",0
1735,1,52,0,2.444970," ","integrate(1/(a+b/x)^(3/2)/x,x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{a^{\frac{3}{2}}} - \frac{2}{\sqrt{a + \frac{b}{x}} a}"," ",0,"-log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(3/2) - 2/(sqrt(a + b/x)*a)","A",0
1736,1,14,0,0.992680," ","integrate(1/(a+b/x)^(3/2)/x^2,x, algorithm=""maxima"")","\frac{2}{\sqrt{a + \frac{b}{x}} b}"," ",0,"2/(sqrt(a + b/x)*b)","A",0
1737,1,30,0,0.983744," ","integrate(1/(a+b/x)^(3/2)/x^3,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{a + \frac{b}{x}}}{b^{2}} - \frac{2 \, a}{\sqrt{a + \frac{b}{x}} b^{2}}"," ",0,"-2*sqrt(a + b/x)/b^2 - 2*a/(sqrt(a + b/x)*b^2)","A",0
1738,1,47,0,0.974385," ","integrate(1/(a+b/x)^(3/2)/x^4,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}}}{3 \, b^{3}} + \frac{4 \, \sqrt{a + \frac{b}{x}} a}{b^{3}} + \frac{2 \, a^{2}}{\sqrt{a + \frac{b}{x}} b^{3}}"," ",0,"-2/3*(a + b/x)^(3/2)/b^3 + 4*sqrt(a + b/x)*a/b^3 + 2*a^2/(sqrt(a + b/x)*b^3)","A",0
1739,1,64,0,1.050848," ","integrate(1/(a+b/x)^(3/2)/x^5,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}}}{5 \, b^{4}} + \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a}{b^{4}} - \frac{6 \, \sqrt{a + \frac{b}{x}} a^{2}}{b^{4}} - \frac{2 \, a^{3}}{\sqrt{a + \frac{b}{x}} b^{4}}"," ",0,"-2/5*(a + b/x)^(5/2)/b^4 + 2*(a + b/x)^(3/2)*a/b^4 - 6*sqrt(a + b/x)*a^2/b^4 - 2*a^3/(sqrt(a + b/x)*b^4)","A",0
1740,1,81,0,0.948242," ","integrate(1/(a+b/x)^(3/2)/x^6,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}}}{7 \, b^{5}} + \frac{8 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a}{5 \, b^{5}} - \frac{4 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2}}{b^{5}} + \frac{8 \, \sqrt{a + \frac{b}{x}} a^{3}}{b^{5}} + \frac{2 \, a^{4}}{\sqrt{a + \frac{b}{x}} b^{5}}"," ",0,"-2/7*(a + b/x)^(7/2)/b^5 + 8/5*(a + b/x)^(5/2)*a/b^5 - 4*(a + b/x)^(3/2)*a^2/b^5 + 8*sqrt(a + b/x)*a^3/b^5 + 2*a^4/(sqrt(a + b/x)*b^5)","A",0
1741,1,98,0,0.998740," ","integrate(1/(a+b/x)^(3/2)/x^7,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}}}{9 \, b^{6}} + \frac{10 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a}{7 \, b^{6}} - \frac{4 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{2}}{b^{6}} + \frac{20 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{3}}{3 \, b^{6}} - \frac{10 \, \sqrt{a + \frac{b}{x}} a^{4}}{b^{6}} - \frac{2 \, a^{5}}{\sqrt{a + \frac{b}{x}} b^{6}}"," ",0,"-2/9*(a + b/x)^(9/2)/b^6 + 10/7*(a + b/x)^(7/2)*a/b^6 - 4*(a + b/x)^(5/2)*a^2/b^6 + 20/3*(a + b/x)^(3/2)*a^3/b^6 - 10*sqrt(a + b/x)*a^4/b^6 - 2*a^5/(sqrt(a + b/x)*b^6)","A",0
1742,1,171,0,2.328696," ","integrate(x^2/(a+b/x)^(5/2),x, algorithm=""maxima"")","\frac{315 \, {\left(a + \frac{b}{x}\right)}^{4} b^{3} - 840 \, {\left(a + \frac{b}{x}\right)}^{3} a b^{3} + 693 \, {\left(a + \frac{b}{x}\right)}^{2} a^{2} b^{3} - 144 \, {\left(a + \frac{b}{x}\right)} a^{3} b^{3} - 16 \, a^{4} b^{3}}{24 \, {\left({\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} a^{5} - 3 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a^{6} + 3 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{7} - {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{8}\right)}} + \frac{105 \, b^{3} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{16 \, a^{\frac{11}{2}}}"," ",0,"1/24*(315*(a + b/x)^4*b^3 - 840*(a + b/x)^3*a*b^3 + 693*(a + b/x)^2*a^2*b^3 - 144*(a + b/x)*a^3*b^3 - 16*a^4*b^3)/((a + b/x)^(9/2)*a^5 - 3*(a + b/x)^(7/2)*a^6 + 3*(a + b/x)^(5/2)*a^7 - (a + b/x)^(3/2)*a^8) + 105/16*b^3*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(11/2)","A",0
1743,1,139,0,2.541891," ","integrate(x/(a+b/x)^(5/2),x, algorithm=""maxima"")","-\frac{105 \, {\left(a + \frac{b}{x}\right)}^{3} b^{2} - 175 \, {\left(a + \frac{b}{x}\right)}^{2} a b^{2} + 56 \, {\left(a + \frac{b}{x}\right)} a^{2} b^{2} + 8 \, a^{3} b^{2}}{12 \, {\left({\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a^{4} - 2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{5} + {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{6}\right)}} - \frac{35 \, b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{8 \, a^{\frac{9}{2}}}"," ",0,"-1/12*(105*(a + b/x)^3*b^2 - 175*(a + b/x)^2*a*b^2 + 56*(a + b/x)*a^2*b^2 + 8*a^3*b^2)/((a + b/x)^(7/2)*a^4 - 2*(a + b/x)^(5/2)*a^5 + (a + b/x)^(3/2)*a^6) - 35/8*b^2*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(9/2)","A",0
1744,1,101,0,2.318171," ","integrate(1/(a+b/x)^(5/2),x, algorithm=""maxima"")","\frac{15 \, {\left(a + \frac{b}{x}\right)}^{2} b - 10 \, {\left(a + \frac{b}{x}\right)} a b - 2 \, a^{2} b}{3 \, {\left({\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{3} - {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{4}\right)}} + \frac{5 \, b \log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{2 \, a^{\frac{7}{2}}}"," ",0,"1/3*(15*(a + b/x)^2*b - 10*(a + b/x)*a*b - 2*a^2*b)/((a + b/x)^(5/2)*a^3 - (a + b/x)^(3/2)*a^4) + 5/2*b*log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(7/2)","A",0
1745,1,62,0,2.212676," ","integrate(1/(a+b/x)^(5/2)/x,x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sqrt{a + \frac{b}{x}} - \sqrt{a}}{\sqrt{a + \frac{b}{x}} + \sqrt{a}}\right)}{a^{\frac{5}{2}}} - \frac{2 \, {\left(4 \, a + \frac{3 \, b}{x}\right)}}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2}}"," ",0,"-log((sqrt(a + b/x) - sqrt(a))/(sqrt(a + b/x) + sqrt(a)))/a^(5/2) - 2/3*(4*a + 3*b/x)/((a + b/x)^(3/2)*a^2)","A",0
1746,1,14,0,1.039268," ","integrate(1/(a+b/x)^(5/2)/x^2,x, algorithm=""maxima"")","\frac{2}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b}"," ",0,"2/3/((a + b/x)^(3/2)*b)","A",0
1747,1,30,0,1.088719," ","integrate(1/(a+b/x)^(5/2)/x^3,x, algorithm=""maxima"")","\frac{2}{\sqrt{a + \frac{b}{x}} b^{2}} - \frac{2 \, a}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{2}}"," ",0,"2/(sqrt(a + b/x)*b^2) - 2/3*a/((a + b/x)^(3/2)*b^2)","A",0
1748,1,47,0,1.001008," ","integrate(1/(a+b/x)^(5/2)/x^4,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{a + \frac{b}{x}}}{b^{3}} - \frac{4 \, a}{\sqrt{a + \frac{b}{x}} b^{3}} + \frac{2 \, a^{2}}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{3}}"," ",0,"-2*sqrt(a + b/x)/b^3 - 4*a/(sqrt(a + b/x)*b^3) + 2/3*a^2/((a + b/x)^(3/2)*b^3)","A",0
1749,1,64,0,1.053570," ","integrate(1/(a+b/x)^(5/2)/x^5,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}}}{3 \, b^{4}} + \frac{6 \, \sqrt{a + \frac{b}{x}} a}{b^{4}} + \frac{6 \, a^{2}}{\sqrt{a + \frac{b}{x}} b^{4}} - \frac{2 \, a^{3}}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{4}}"," ",0,"-2/3*(a + b/x)^(3/2)/b^4 + 6*sqrt(a + b/x)*a/b^4 + 6*a^2/(sqrt(a + b/x)*b^4) - 2/3*a^3/((a + b/x)^(3/2)*b^4)","A",0
1750,1,81,0,1.034730," ","integrate(1/(a+b/x)^(5/2)/x^6,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}}}{5 \, b^{5}} + \frac{8 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a}{3 \, b^{5}} - \frac{12 \, \sqrt{a + \frac{b}{x}} a^{2}}{b^{5}} - \frac{8 \, a^{3}}{\sqrt{a + \frac{b}{x}} b^{5}} + \frac{2 \, a^{4}}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{5}}"," ",0,"-2/5*(a + b/x)^(5/2)/b^5 + 8/3*(a + b/x)^(3/2)*a/b^5 - 12*sqrt(a + b/x)*a^2/b^5 - 8*a^3/(sqrt(a + b/x)*b^5) + 2/3*a^4/((a + b/x)^(3/2)*b^5)","A",0
1751,1,98,0,0.963959," ","integrate(1/(a+b/x)^(5/2)/x^7,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}}}{7 \, b^{6}} + \frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a}{b^{6}} - \frac{20 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2}}{3 \, b^{6}} + \frac{20 \, \sqrt{a + \frac{b}{x}} a^{3}}{b^{6}} + \frac{10 \, a^{4}}{\sqrt{a + \frac{b}{x}} b^{6}} - \frac{2 \, a^{5}}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{6}}"," ",0,"-2/7*(a + b/x)^(7/2)/b^6 + 2*(a + b/x)^(5/2)*a/b^6 - 20/3*(a + b/x)^(3/2)*a^2/b^6 + 20*sqrt(a + b/x)*a^3/b^6 + 10*a^4/(sqrt(a + b/x)*b^6) - 2/3*a^5/((a + b/x)^(3/2)*b^6)","A",0
1752,1,69,0,1.088153," ","integrate((a+b/x)^(1/2)*x^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} x^{\frac{9}{2}} - 135 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} b x^{\frac{7}{2}} + 189 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b^{2} x^{\frac{5}{2}} - 105 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{3} x^{\frac{3}{2}}\right)}}{315 \, a^{4}}"," ",0,"2/315*(35*(a + b/x)^(9/2)*x^(9/2) - 135*(a + b/x)^(7/2)*b*x^(7/2) + 189*(a + b/x)^(5/2)*b^2*x^(5/2) - 105*(a + b/x)^(3/2)*b^3*x^(3/2))/a^4","A",0
1753,1,52,0,1.107837," ","integrate((a+b/x)^(1/2)*x^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} x^{\frac{7}{2}} - 42 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b x^{\frac{5}{2}} + 35 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{2} x^{\frac{3}{2}}\right)}}{105 \, a^{3}}"," ",0,"2/105*(15*(a + b/x)^(7/2)*x^(7/2) - 42*(a + b/x)^(5/2)*b*x^(5/2) + 35*(a + b/x)^(3/2)*b^2*x^(3/2))/a^3","A",0
1754,1,35,0,1.165090," ","integrate((a+b/x)^(1/2)*x^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} x^{\frac{5}{2}} - 5 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b x^{\frac{3}{2}}\right)}}{15 \, a^{2}}"," ",0,"2/15*(3*(a + b/x)^(5/2)*x^(5/2) - 5*(a + b/x)^(3/2)*b*x^(3/2))/a^2","A",0
1755,1,17,0,1.010829," ","integrate((a+b/x)^(1/2)*x^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} x^{\frac{3}{2}}}{3 \, a}"," ",0,"2/3*(a + b/x)^(3/2)*x^(3/2)/a","A",0
1756,1,59,0,2.424392," ","integrate((a+b/x)^(1/2)/x^(1/2),x, algorithm=""maxima"")","\sqrt{b} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right) + 2 \, \sqrt{a + \frac{b}{x}} \sqrt{x}"," ",0,"sqrt(b)*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b))) + 2*sqrt(a + b/x)*sqrt(x)","A",0
1757,1,77,0,2.343073," ","integrate((a+b/x)^(1/2)/x^(3/2),x, algorithm=""maxima"")","\frac{a \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{2 \, \sqrt{b}} - \frac{\sqrt{a + \frac{b}{x}} a \sqrt{x}}{{\left(a + \frac{b}{x}\right)} x - b}"," ",0,"1/2*a*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/sqrt(b) - sqrt(a + b/x)*a*sqrt(x)/((a + b/x)*x - b)","B",0
1758,1,118,0,2.304117," ","integrate((a+b/x)^(1/2)/x^(5/2),x, algorithm=""maxima"")","-\frac{a^{2} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{8 \, b^{\frac{3}{2}}} - \frac{{\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2} x^{\frac{3}{2}} + \sqrt{a + \frac{b}{x}} a^{2} b \sqrt{x}}{4 \, {\left({\left(a + \frac{b}{x}\right)}^{2} b x^{2} - 2 \, {\left(a + \frac{b}{x}\right)} b^{2} x + b^{3}\right)}}"," ",0,"-1/8*a^2*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(3/2) - 1/4*((a + b/x)^(3/2)*a^2*x^(3/2) + sqrt(a + b/x)*a^2*b*sqrt(x))/((a + b/x)^2*b*x^2 - 2*(a + b/x)*b^2*x + b^3)","B",0
1759,1,161,0,2.345345," ","integrate((a+b/x)^(1/2)/x^(7/2),x, algorithm=""maxima"")","\frac{a^{3} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{16 \, b^{\frac{5}{2}}} + \frac{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{3} x^{\frac{5}{2}} - 8 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{3} b x^{\frac{3}{2}} - 3 \, \sqrt{a + \frac{b}{x}} a^{3} b^{2} \sqrt{x}}{24 \, {\left({\left(a + \frac{b}{x}\right)}^{3} b^{2} x^{3} - 3 \, {\left(a + \frac{b}{x}\right)}^{2} b^{3} x^{2} + 3 \, {\left(a + \frac{b}{x}\right)} b^{4} x - b^{5}\right)}}"," ",0,"1/16*a^3*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(5/2) + 1/24*(3*(a + b/x)^(5/2)*a^3*x^(5/2) - 8*(a + b/x)^(3/2)*a^3*b*x^(3/2) - 3*sqrt(a + b/x)*a^3*b^2*sqrt(x))/((a + b/x)^3*b^2*x^3 - 3*(a + b/x)^2*b^3*x^2 + 3*(a + b/x)*b^4*x - b^5)","B",0
1760,1,69,0,0.989496," ","integrate((a+b/x)^(3/2)*x^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(105 \, {\left(a + \frac{b}{x}\right)}^{\frac{11}{2}} x^{\frac{11}{2}} - 385 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} b x^{\frac{9}{2}} + 495 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} b^{2} x^{\frac{7}{2}} - 231 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b^{3} x^{\frac{5}{2}}\right)}}{1155 \, a^{4}}"," ",0,"2/1155*(105*(a + b/x)^(11/2)*x^(11/2) - 385*(a + b/x)^(9/2)*b*x^(9/2) + 495*(a + b/x)^(7/2)*b^2*x^(7/2) - 231*(a + b/x)^(5/2)*b^3*x^(5/2))/a^4","A",0
1761,1,52,0,1.076732," ","integrate((a+b/x)^(3/2)*x^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} x^{\frac{9}{2}} - 90 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} b x^{\frac{7}{2}} + 63 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b^{2} x^{\frac{5}{2}}\right)}}{315 \, a^{3}}"," ",0,"2/315*(35*(a + b/x)^(9/2)*x^(9/2) - 90*(a + b/x)^(7/2)*b*x^(7/2) + 63*(a + b/x)^(5/2)*b^2*x^(5/2))/a^3","A",0
1762,1,35,0,1.053839," ","integrate((a+b/x)^(3/2)*x^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} x^{\frac{7}{2}} - 7 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b x^{\frac{5}{2}}\right)}}{35 \, a^{2}}"," ",0,"2/35*(5*(a + b/x)^(7/2)*x^(7/2) - 7*(a + b/x)^(5/2)*b*x^(5/2))/a^2","A",0
1763,1,17,0,1.080852," ","integrate((a+b/x)^(3/2)*x^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} x^{\frac{5}{2}}}{5 \, a}"," ",0,"2/5*(a + b/x)^(5/2)*x^(5/2)/a","A",0
1764,1,74,0,2.288512," ","integrate((a+b/x)^(3/2)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} x^{\frac{3}{2}} + b^{\frac{3}{2}} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right) + 2 \, \sqrt{a + \frac{b}{x}} b \sqrt{x}"," ",0,"2/3*(a + b/x)^(3/2)*x^(3/2) + b^(3/2)*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b))) + 2*sqrt(a + b/x)*b*sqrt(x)","A",0
1765,1,93,0,2.326434," ","integrate((a+b/x)^(3/2)/x^(1/2),x, algorithm=""maxima"")","\frac{3}{2} \, a \sqrt{b} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right) + 2 \, \sqrt{a + \frac{b}{x}} a \sqrt{x} - \frac{\sqrt{a + \frac{b}{x}} a b \sqrt{x}}{{\left(a + \frac{b}{x}\right)} x - b}"," ",0,"3/2*a*sqrt(b)*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b))) + 2*sqrt(a + b/x)*a*sqrt(x) - sqrt(a + b/x)*a*b*sqrt(x)/((a + b/x)*x - b)","A",0
1766,1,117,0,2.323070," ","integrate((a+b/x)^(3/2)/x^(3/2),x, algorithm=""maxima"")","\frac{3 \, a^{2} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{8 \, \sqrt{b}} - \frac{5 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2} x^{\frac{3}{2}} - 3 \, \sqrt{a + \frac{b}{x}} a^{2} b \sqrt{x}}{4 \, {\left({\left(a + \frac{b}{x}\right)}^{2} x^{2} - 2 \, {\left(a + \frac{b}{x}\right)} b x + b^{2}\right)}}"," ",0,"3/8*a^2*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/sqrt(b) - 1/4*(5*(a + b/x)^(3/2)*a^2*x^(3/2) - 3*sqrt(a + b/x)*a^2*b*sqrt(x))/((a + b/x)^2*x^2 - 2*(a + b/x)*b*x + b^2)","B",0
1767,1,159,0,2.405573," ","integrate((a+b/x)^(3/2)/x^(5/2),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{16 \, b^{\frac{3}{2}}} - \frac{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{3} x^{\frac{5}{2}} + 8 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{3} b x^{\frac{3}{2}} - 3 \, \sqrt{a + \frac{b}{x}} a^{3} b^{2} \sqrt{x}}{24 \, {\left({\left(a + \frac{b}{x}\right)}^{3} b x^{3} - 3 \, {\left(a + \frac{b}{x}\right)}^{2} b^{2} x^{2} + 3 \, {\left(a + \frac{b}{x}\right)} b^{3} x - b^{4}\right)}}"," ",0,"-1/16*a^3*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(3/2) - 1/24*(3*(a + b/x)^(5/2)*a^3*x^(5/2) + 8*(a + b/x)^(3/2)*a^3*b*x^(3/2) - 3*sqrt(a + b/x)*a^3*b^2*sqrt(x))/((a + b/x)^3*b*x^3 - 3*(a + b/x)^2*b^2*x^2 + 3*(a + b/x)*b^3*x - b^4)","B",0
1768,1,69,0,1.049425," ","integrate((a+b/x)^(5/2)*x^(11/2),x, algorithm=""maxima"")","\frac{2 \, {\left(231 \, {\left(a + \frac{b}{x}\right)}^{\frac{13}{2}} x^{\frac{13}{2}} - 819 \, {\left(a + \frac{b}{x}\right)}^{\frac{11}{2}} b x^{\frac{11}{2}} + 1001 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} b^{2} x^{\frac{9}{2}} - 429 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} b^{3} x^{\frac{7}{2}}\right)}}{3003 \, a^{4}}"," ",0,"2/3003*(231*(a + b/x)^(13/2)*x^(13/2) - 819*(a + b/x)^(11/2)*b*x^(11/2) + 1001*(a + b/x)^(9/2)*b^2*x^(9/2) - 429*(a + b/x)^(7/2)*b^3*x^(7/2))/a^4","A",0
1769,1,52,0,1.117695," ","integrate((a+b/x)^(5/2)*x^(9/2),x, algorithm=""maxima"")","\frac{2 \, {\left(63 \, {\left(a + \frac{b}{x}\right)}^{\frac{11}{2}} x^{\frac{11}{2}} - 154 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} b x^{\frac{9}{2}} + 99 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} b^{2} x^{\frac{7}{2}}\right)}}{693 \, a^{3}}"," ",0,"2/693*(63*(a + b/x)^(11/2)*x^(11/2) - 154*(a + b/x)^(9/2)*b*x^(9/2) + 99*(a + b/x)^(7/2)*b^2*x^(7/2))/a^3","A",0
1770,1,35,0,1.096934," ","integrate((a+b/x)^(5/2)*x^(7/2),x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} x^{\frac{9}{2}} - 9 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} b x^{\frac{7}{2}}\right)}}{63 \, a^{2}}"," ",0,"2/63*(7*(a + b/x)^(9/2)*x^(9/2) - 9*(a + b/x)^(7/2)*b*x^(7/2))/a^2","A",0
1771,1,17,0,1.050694," ","integrate((a+b/x)^(5/2)*x^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} x^{\frac{7}{2}}}{7 \, a}"," ",0,"2/7*(a + b/x)^(7/2)*x^(7/2)/a","A",0
1772,1,91,0,2.344966," ","integrate((a+b/x)^(5/2)*x^(3/2),x, algorithm=""maxima"")","\frac{2}{5} \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} x^{\frac{5}{2}} + \frac{2}{3} \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b x^{\frac{3}{2}} + b^{\frac{5}{2}} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right) + 2 \, \sqrt{a + \frac{b}{x}} b^{2} \sqrt{x}"," ",0,"2/5*(a + b/x)^(5/2)*x^(5/2) + 2/3*(a + b/x)^(3/2)*b*x^(3/2) + b^(5/2)*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b))) + 2*sqrt(a + b/x)*b^2*sqrt(x)","A",0
1773,1,111,0,2.255613," ","integrate((a+b/x)^(5/2)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a x^{\frac{3}{2}} + \frac{5}{2} \, a b^{\frac{3}{2}} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right) + 4 \, \sqrt{a + \frac{b}{x}} a b \sqrt{x} - \frac{\sqrt{a + \frac{b}{x}} a b^{2} \sqrt{x}}{{\left(a + \frac{b}{x}\right)} x - b}"," ",0,"2/3*(a + b/x)^(3/2)*a*x^(3/2) + 5/2*a*b^(3/2)*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b))) + 4*sqrt(a + b/x)*a*b*sqrt(x) - sqrt(a + b/x)*a*b^2*sqrt(x)/((a + b/x)*x - b)","A",0
1774,1,137,0,2.355210," ","integrate((a+b/x)^(5/2)/x^(1/2),x, algorithm=""maxima"")","\frac{15}{8} \, a^{2} \sqrt{b} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right) + 2 \, \sqrt{a + \frac{b}{x}} a^{2} \sqrt{x} - \frac{9 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2} b x^{\frac{3}{2}} - 7 \, \sqrt{a + \frac{b}{x}} a^{2} b^{2} \sqrt{x}}{4 \, {\left({\left(a + \frac{b}{x}\right)}^{2} x^{2} - 2 \, {\left(a + \frac{b}{x}\right)} b x + b^{2}\right)}}"," ",0,"15/8*a^2*sqrt(b)*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b))) + 2*sqrt(a + b/x)*a^2*sqrt(x) - 1/4*(9*(a + b/x)^(3/2)*a^2*b*x^(3/2) - 7*sqrt(a + b/x)*a^2*b^2*sqrt(x))/((a + b/x)^2*x^2 - 2*(a + b/x)*b*x + b^2)","A",0
1775,1,156,0,2.477611," ","integrate((a+b/x)^(5/2)/x^(3/2),x, algorithm=""maxima"")","\frac{5 \, a^{3} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{16 \, \sqrt{b}} - \frac{33 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{3} x^{\frac{5}{2}} - 40 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{3} b x^{\frac{3}{2}} + 15 \, \sqrt{a + \frac{b}{x}} a^{3} b^{2} \sqrt{x}}{24 \, {\left({\left(a + \frac{b}{x}\right)}^{3} x^{3} - 3 \, {\left(a + \frac{b}{x}\right)}^{2} b x^{2} + 3 \, {\left(a + \frac{b}{x}\right)} b^{2} x - b^{3}\right)}}"," ",0,"5/16*a^3*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/sqrt(b) - 1/24*(33*(a + b/x)^(5/2)*a^3*x^(5/2) - 40*(a + b/x)^(3/2)*a^3*b*x^(3/2) + 15*sqrt(a + b/x)*a^3*b^2*sqrt(x))/((a + b/x)^3*x^3 - 3*(a + b/x)^2*b*x^2 + 3*(a + b/x)*b^2*x - b^3)","B",0
1776,1,194,0,2.357625," ","integrate((a+b/x)^(5/2)/x^(5/2),x, algorithm=""maxima"")","-\frac{5 \, a^{4} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{128 \, b^{\frac{3}{2}}} - \frac{15 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} a^{4} x^{\frac{7}{2}} + 73 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{4} b x^{\frac{5}{2}} - 55 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{4} b^{2} x^{\frac{3}{2}} + 15 \, \sqrt{a + \frac{b}{x}} a^{4} b^{3} \sqrt{x}}{192 \, {\left({\left(a + \frac{b}{x}\right)}^{4} b x^{4} - 4 \, {\left(a + \frac{b}{x}\right)}^{3} b^{2} x^{3} + 6 \, {\left(a + \frac{b}{x}\right)}^{2} b^{3} x^{2} - 4 \, {\left(a + \frac{b}{x}\right)} b^{4} x + b^{5}\right)}}"," ",0,"-5/128*a^4*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(3/2) - 1/192*(15*(a + b/x)^(7/2)*a^4*x^(7/2) + 73*(a + b/x)^(5/2)*a^4*b*x^(5/2) - 55*(a + b/x)^(3/2)*a^4*b^2*x^(3/2) + 15*sqrt(a + b/x)*a^4*b^3*sqrt(x))/((a + b/x)^4*b*x^4 - 4*(a + b/x)^3*b^2*x^3 + 6*(a + b/x)^2*b^3*x^2 - 4*(a + b/x)*b^4*x + b^5)","B",0
1777,1,86,0,1.005569," ","integrate(x^(7/2)/(a+b/x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, {\left(a + \frac{b}{x}\right)}^{\frac{9}{2}} x^{\frac{9}{2}} - 180 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} b x^{\frac{7}{2}} + 378 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b^{2} x^{\frac{5}{2}} - 420 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{3} x^{\frac{3}{2}} + 315 \, \sqrt{a + \frac{b}{x}} b^{4} \sqrt{x}\right)}}{315 \, a^{5}}"," ",0,"2/315*(35*(a + b/x)^(9/2)*x^(9/2) - 180*(a + b/x)^(7/2)*b*x^(7/2) + 378*(a + b/x)^(5/2)*b^2*x^(5/2) - 420*(a + b/x)^(3/2)*b^3*x^(3/2) + 315*sqrt(a + b/x)*b^4*sqrt(x))/a^5","A",0
1778,1,69,0,1.070721," ","integrate(x^(5/2)/(a+b/x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} x^{\frac{7}{2}} - 21 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b x^{\frac{5}{2}} + 35 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{2} x^{\frac{3}{2}} - 35 \, \sqrt{a + \frac{b}{x}} b^{3} \sqrt{x}\right)}}{35 \, a^{4}}"," ",0,"2/35*(5*(a + b/x)^(7/2)*x^(7/2) - 21*(a + b/x)^(5/2)*b*x^(5/2) + 35*(a + b/x)^(3/2)*b^2*x^(3/2) - 35*sqrt(a + b/x)*b^3*sqrt(x))/a^4","A",0
1779,1,52,0,1.049828," ","integrate(x^(3/2)/(a+b/x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} x^{\frac{5}{2}} - 10 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b x^{\frac{3}{2}} + 15 \, \sqrt{a + \frac{b}{x}} b^{2} \sqrt{x}\right)}}{15 \, a^{3}}"," ",0,"2/15*(3*(a + b/x)^(5/2)*x^(5/2) - 10*(a + b/x)^(3/2)*b*x^(3/2) + 15*sqrt(a + b/x)*b^2*sqrt(x))/a^3","A",0
1780,1,34,0,1.047335," ","integrate(x^(1/2)/(a+b/x)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} x^{\frac{3}{2}} - 3 \, \sqrt{a + \frac{b}{x}} b \sqrt{x}\right)}}{3 \, a^{2}}"," ",0,"2/3*((a + b/x)^(3/2)*x^(3/2) - 3*sqrt(a + b/x)*b*sqrt(x))/a^2","A",0
1781,1,17,0,1.030354," ","integrate(1/(a+b/x)^(1/2)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{a + \frac{b}{x}} \sqrt{x}}{a}"," ",0,"2*sqrt(a + b/x)*sqrt(x)/a","A",0
1782,1,44,0,2.373006," ","integrate(1/(a+b/x)^(1/2)/x^(3/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{\sqrt{b}}"," ",0,"log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/sqrt(b)","A",0
1783,1,80,0,2.423553," ","integrate(1/(a+b/x)^(1/2)/x^(5/2),x, algorithm=""maxima"")","-\frac{\sqrt{a + \frac{b}{x}} a \sqrt{x}}{{\left(a + \frac{b}{x}\right)} b x - b^{2}} - \frac{a \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{2 \, b^{\frac{3}{2}}}"," ",0,"-sqrt(a + b/x)*a*sqrt(x)/((a + b/x)*b*x - b^2) - 1/2*a*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(3/2)","A",0
1784,1,122,0,2.307939," ","integrate(1/(a+b/x)^(1/2)/x^(7/2),x, algorithm=""maxima"")","\frac{3 \, a^{2} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{8 \, b^{\frac{5}{2}}} + \frac{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2} x^{\frac{3}{2}} - 5 \, \sqrt{a + \frac{b}{x}} a^{2} b \sqrt{x}}{4 \, {\left({\left(a + \frac{b}{x}\right)}^{2} b^{2} x^{2} - 2 \, {\left(a + \frac{b}{x}\right)} b^{3} x + b^{4}\right)}}"," ",0,"3/8*a^2*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(5/2) + 1/4*(3*(a + b/x)^(3/2)*a^2*x^(3/2) - 5*sqrt(a + b/x)*a^2*b*sqrt(x))/((a + b/x)^2*b^2*x^2 - 2*(a + b/x)*b^3*x + b^4)","A",0
1785,1,161,0,2.374910," ","integrate(1/(a+b/x)^(1/2)/x^(9/2),x, algorithm=""maxima"")","-\frac{5 \, a^{3} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{16 \, b^{\frac{7}{2}}} - \frac{15 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} a^{3} x^{\frac{5}{2}} - 40 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{3} b x^{\frac{3}{2}} + 33 \, \sqrt{a + \frac{b}{x}} a^{3} b^{2} \sqrt{x}}{24 \, {\left({\left(a + \frac{b}{x}\right)}^{3} b^{3} x^{3} - 3 \, {\left(a + \frac{b}{x}\right)}^{2} b^{4} x^{2} + 3 \, {\left(a + \frac{b}{x}\right)} b^{5} x - b^{6}\right)}}"," ",0,"-5/16*a^3*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(7/2) - 1/24*(15*(a + b/x)^(5/2)*a^3*x^(5/2) - 40*(a + b/x)^(3/2)*a^3*b*x^(3/2) + 33*sqrt(a + b/x)*a^3*b^2*sqrt(x))/((a + b/x)^3*b^3*x^3 - 3*(a + b/x)^2*b^4*x^2 + 3*(a + b/x)*b^5*x - b^6)","A",0
1786,1,90,0,0.989329," ","integrate(x^(5/2)/(a+b/x)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, b^{4}}{\sqrt{a + \frac{b}{x}} a^{5} \sqrt{x}} + \frac{2 \, {\left(5 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} x^{\frac{7}{2}} - 28 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b x^{\frac{5}{2}} + 70 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{2} x^{\frac{3}{2}} - 140 \, \sqrt{a + \frac{b}{x}} b^{3} \sqrt{x}\right)}}{35 \, a^{5}}"," ",0,"-2*b^4/(sqrt(a + b/x)*a^5*sqrt(x)) + 2/35*(5*(a + b/x)^(7/2)*x^(7/2) - 28*(a + b/x)^(5/2)*b*x^(5/2) + 70*(a + b/x)^(3/2)*b^2*x^(3/2) - 140*sqrt(a + b/x)*b^3*sqrt(x))/a^5","A",0
1787,1,72,0,1.036956," ","integrate(x^(3/2)/(a+b/x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, b^{3}}{\sqrt{a + \frac{b}{x}} a^{4} \sqrt{x}} + \frac{2 \, {\left({\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} x^{\frac{5}{2}} - 5 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b x^{\frac{3}{2}} + 15 \, \sqrt{a + \frac{b}{x}} b^{2} \sqrt{x}\right)}}{5 \, a^{4}}"," ",0,"2*b^3/(sqrt(a + b/x)*a^4*sqrt(x)) + 2/5*((a + b/x)^(5/2)*x^(5/2) - 5*(a + b/x)^(3/2)*b*x^(3/2) + 15*sqrt(a + b/x)*b^2*sqrt(x))/a^4","A",0
1788,1,55,0,1.167904," ","integrate(x^(1/2)/(a+b/x)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} x^{\frac{3}{2}} - 6 \, \sqrt{a + \frac{b}{x}} b \sqrt{x}\right)}}{3 \, a^{3}} - \frac{2 \, b^{2}}{\sqrt{a + \frac{b}{x}} a^{3} \sqrt{x}}"," ",0,"2/3*((a + b/x)^(3/2)*x^(3/2) - 6*sqrt(a + b/x)*b*sqrt(x))/a^3 - 2*b^2/(sqrt(a + b/x)*a^3*sqrt(x))","A",0
1789,1,36,0,1.108477," ","integrate(1/(a+b/x)^(3/2)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{a + \frac{b}{x}} \sqrt{x}}{a^{2}} + \frac{2 \, b}{\sqrt{a + \frac{b}{x}} a^{2} \sqrt{x}}"," ",0,"2*sqrt(a + b/x)*sqrt(x)/a^2 + 2*b/(sqrt(a + b/x)*a^2*sqrt(x))","A",0
1790,1,17,0,1.098218," ","integrate(1/(a+b/x)^(3/2)/x^(3/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{a + \frac{b}{x}} a \sqrt{x}}"," ",0,"-2/(sqrt(a + b/x)*a*sqrt(x))","A",0
1791,1,62,0,2.387256," ","integrate(1/(a+b/x)^(3/2)/x^(5/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{b^{\frac{3}{2}}} + \frac{2}{\sqrt{a + \frac{b}{x}} b \sqrt{x}}"," ",0,"log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(3/2) + 2/(sqrt(a + b/x)*b*sqrt(x))","A",0
1792,1,101,0,2.404112," ","integrate(1/(a+b/x)^(3/2)/x^(7/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(a + \frac{b}{x}\right)} a x - 2 \, a b}{{\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{2} x^{\frac{3}{2}} - \sqrt{a + \frac{b}{x}} b^{3} \sqrt{x}} - \frac{3 \, a \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{2 \, b^{\frac{5}{2}}}"," ",0,"-(3*(a + b/x)*a*x - 2*a*b)/((a + b/x)^(3/2)*b^2*x^(3/2) - sqrt(a + b/x)*b^3*sqrt(x)) - 3/2*a*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(5/2)","A",0
1793,1,143,0,2.404294," ","integrate(1/(a+b/x)^(3/2)/x^(9/2),x, algorithm=""maxima"")","\frac{15 \, {\left(a + \frac{b}{x}\right)}^{2} a^{2} x^{2} - 25 \, {\left(a + \frac{b}{x}\right)} a^{2} b x + 8 \, a^{2} b^{2}}{4 \, {\left({\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b^{3} x^{\frac{5}{2}} - 2 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{4} x^{\frac{3}{2}} + \sqrt{a + \frac{b}{x}} b^{5} \sqrt{x}\right)}} + \frac{15 \, a^{2} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{8 \, b^{\frac{7}{2}}}"," ",0,"1/4*(15*(a + b/x)^2*a^2*x^2 - 25*(a + b/x)*a^2*b*x + 8*a^2*b^2)/((a + b/x)^(5/2)*b^3*x^(5/2) - 2*(a + b/x)^(3/2)*b^4*x^(3/2) + sqrt(a + b/x)*b^5*sqrt(x)) + 15/8*a^2*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(7/2)","A",0
1794,1,181,0,2.259940," ","integrate(1/(a+b/x)^(3/2)/x^(11/2),x, algorithm=""maxima"")","-\frac{105 \, {\left(a + \frac{b}{x}\right)}^{3} a^{3} x^{3} - 280 \, {\left(a + \frac{b}{x}\right)}^{2} a^{3} b x^{2} + 231 \, {\left(a + \frac{b}{x}\right)} a^{3} b^{2} x - 48 \, a^{3} b^{3}}{24 \, {\left({\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} b^{4} x^{\frac{7}{2}} - 3 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b^{5} x^{\frac{5}{2}} + 3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{6} x^{\frac{3}{2}} - \sqrt{a + \frac{b}{x}} b^{7} \sqrt{x}\right)}} - \frac{35 \, a^{3} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{16 \, b^{\frac{9}{2}}}"," ",0,"-1/24*(105*(a + b/x)^3*a^3*x^3 - 280*(a + b/x)^2*a^3*b*x^2 + 231*(a + b/x)*a^3*b^2*x - 48*a^3*b^3)/((a + b/x)^(7/2)*b^4*x^(7/2) - 3*(a + b/x)^(5/2)*b^5*x^(5/2) + 3*(a + b/x)^(3/2)*b^6*x^(3/2) - sqrt(a + b/x)*b^7*sqrt(x)) - 35/16*a^3*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(9/2)","A",0
1795,1,106,0,1.127233," ","integrate(x^(5/2)/(a+b/x)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, {\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} x^{\frac{7}{2}} - 21 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b x^{\frac{5}{2}} + 70 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{2} x^{\frac{3}{2}} - 210 \, \sqrt{a + \frac{b}{x}} b^{3} \sqrt{x}\right)}}{21 \, a^{6}} - \frac{2 \, {\left(15 \, {\left(a + \frac{b}{x}\right)} b^{4} x - b^{5}\right)}}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{6} x^{\frac{3}{2}}}"," ",0,"2/21*(3*(a + b/x)^(7/2)*x^(7/2) - 21*(a + b/x)^(5/2)*b*x^(5/2) + 70*(a + b/x)^(3/2)*b^2*x^(3/2) - 210*sqrt(a + b/x)*b^3*sqrt(x))/a^6 - 2/3*(15*(a + b/x)*b^4*x - b^5)/((a + b/x)^(3/2)*a^6*x^(3/2))","A",0
1796,1,89,0,1.036357," ","integrate(x^(3/2)/(a+b/x)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} x^{\frac{5}{2}} - 20 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b x^{\frac{3}{2}} + 90 \, \sqrt{a + \frac{b}{x}} b^{2} \sqrt{x}\right)}}{15 \, a^{5}} + \frac{2 \, {\left(12 \, {\left(a + \frac{b}{x}\right)} b^{3} x - b^{4}\right)}}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{5} x^{\frac{3}{2}}}"," ",0,"2/15*(3*(a + b/x)^(5/2)*x^(5/2) - 20*(a + b/x)^(3/2)*b*x^(3/2) + 90*sqrt(a + b/x)*b^2*sqrt(x))/a^5 + 2/3*(12*(a + b/x)*b^3*x - b^4)/((a + b/x)^(3/2)*a^5*x^(3/2))","A",0
1797,1,71,0,0.970295," ","integrate(x^(1/2)/(a+b/x)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left({\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} x^{\frac{3}{2}} - 9 \, \sqrt{a + \frac{b}{x}} b \sqrt{x}\right)}}{3 \, a^{4}} - \frac{2 \, {\left(9 \, {\left(a + \frac{b}{x}\right)} b^{2} x - b^{3}\right)}}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{4} x^{\frac{3}{2}}}"," ",0,"2/3*((a + b/x)^(3/2)*x^(3/2) - 9*sqrt(a + b/x)*b*sqrt(x))/a^4 - 2/3*(9*(a + b/x)*b^2*x - b^3)/((a + b/x)^(3/2)*a^4*x^(3/2))","A",0
1798,1,52,0,1.055562," ","integrate(1/(a+b/x)^(5/2)/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{a + \frac{b}{x}} \sqrt{x}}{a^{3}} + \frac{2 \, {\left(6 \, {\left(a + \frac{b}{x}\right)} b x - b^{2}\right)}}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{3} x^{\frac{3}{2}}}"," ",0,"2*sqrt(a + b/x)*sqrt(x)/a^3 + 2/3*(6*(a + b/x)*b*x - b^2)/((a + b/x)^(3/2)*a^3*x^(3/2))","A",0
1799,1,31,0,1.067765," ","integrate(1/(a+b/x)^(5/2)/x^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(3 \, {\left(a + \frac{b}{x}\right)} x - b\right)}}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a^{2} x^{\frac{3}{2}}}"," ",0,"-2/3*(3*(a + b/x)*x - b)/((a + b/x)^(3/2)*a^2*x^(3/2))","A",0
1800,1,17,0,0.898671," ","integrate(1/(a+b/x)^(5/2)/x^(5/2),x, algorithm=""maxima"")","-\frac{2}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} a x^{\frac{3}{2}}}"," ",0,"-2/3/((a + b/x)^(3/2)*a*x^(3/2))","A",0
1801,1,74,0,2.343951," ","integrate(1/(a+b/x)^(5/2)/x^(7/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{b^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, {\left(a + \frac{b}{x}\right)} x + b\right)}}{3 \, {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{2} x^{\frac{3}{2}}}"," ",0,"log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(5/2) + 2/3*(3*(a + b/x)*x + b)/((a + b/x)^(3/2)*b^2*x^(3/2))","A",0
1802,1,119,0,2.373149," ","integrate(1/(a+b/x)^(5/2)/x^(9/2),x, algorithm=""maxima"")","-\frac{15 \, {\left(a + \frac{b}{x}\right)}^{2} a x^{2} - 10 \, {\left(a + \frac{b}{x}\right)} a b x - 2 \, a b^{2}}{3 \, {\left({\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b^{3} x^{\frac{5}{2}} - {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{4} x^{\frac{3}{2}}\right)}} - \frac{5 \, a \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{2 \, b^{\frac{7}{2}}}"," ",0,"-1/3*(15*(a + b/x)^2*a*x^2 - 10*(a + b/x)*a*b*x - 2*a*b^2)/((a + b/x)^(5/2)*b^3*x^(5/2) - (a + b/x)^(3/2)*b^4*x^(3/2)) - 5/2*a*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(7/2)","A",0
1803,1,163,0,2.503753," ","integrate(1/(a+b/x)^(5/2)/x^(11/2),x, algorithm=""maxima"")","\frac{105 \, {\left(a + \frac{b}{x}\right)}^{3} a^{2} x^{3} - 175 \, {\left(a + \frac{b}{x}\right)}^{2} a^{2} b x^{2} + 56 \, {\left(a + \frac{b}{x}\right)} a^{2} b^{2} x + 8 \, a^{2} b^{3}}{12 \, {\left({\left(a + \frac{b}{x}\right)}^{\frac{7}{2}} b^{4} x^{\frac{7}{2}} - 2 \, {\left(a + \frac{b}{x}\right)}^{\frac{5}{2}} b^{5} x^{\frac{5}{2}} + {\left(a + \frac{b}{x}\right)}^{\frac{3}{2}} b^{6} x^{\frac{3}{2}}\right)}} + \frac{35 \, a^{2} \log\left(\frac{\sqrt{a + \frac{b}{x}} \sqrt{x} - \sqrt{b}}{\sqrt{a + \frac{b}{x}} \sqrt{x} + \sqrt{b}}\right)}{8 \, b^{\frac{9}{2}}}"," ",0,"1/12*(105*(a + b/x)^3*a^2*x^3 - 175*(a + b/x)^2*a^2*b*x^2 + 56*(a + b/x)*a^2*b^2*x + 8*a^2*b^3)/((a + b/x)^(7/2)*b^4*x^(7/2) - 2*(a + b/x)^(5/2)*b^5*x^(5/2) + (a + b/x)^(3/2)*b^6*x^(3/2)) + 35/8*a^2*log((sqrt(a + b/x)*sqrt(x) - sqrt(b))/(sqrt(a + b/x)*sqrt(x) + sqrt(b)))/b^(9/2)","A",0
1804,1,13,0,1.129891," ","integrate((a+b/x^2)*x^6,x, algorithm=""maxima"")","\frac{1}{7} \, a x^{7} + \frac{1}{5} \, b x^{5}"," ",0,"1/7*a*x^7 + 1/5*b*x^5","A",0
1805,1,13,0,1.017018," ","integrate((a+b/x^2)*x^5,x, algorithm=""maxima"")","\frac{1}{6} \, a x^{6} + \frac{1}{4} \, b x^{4}"," ",0,"1/6*a*x^6 + 1/4*b*x^4","A",0
1806,1,13,0,1.059944," ","integrate((a+b/x^2)*x^4,x, algorithm=""maxima"")","\frac{1}{5} \, a x^{5} + \frac{1}{3} \, b x^{3}"," ",0,"1/5*a*x^5 + 1/3*b*x^3","A",0
1807,1,13,0,1.026465," ","integrate((a+b/x^2)*x^3,x, algorithm=""maxima"")","\frac{1}{4} \, a x^{4} + \frac{1}{2} \, b x^{2}"," ",0,"1/4*a*x^4 + 1/2*b*x^2","A",0
1808,1,10,0,1.038422," ","integrate((a+b/x^2)*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, a x^{3} + b x"," ",0,"1/3*a*x^3 + b*x","A",0
1809,1,14,0,0.998561," ","integrate((a+b/x^2)*x,x, algorithm=""maxima"")","\frac{1}{2} \, a x^{2} + \frac{1}{2} \, b \log\left(x^{2}\right)"," ",0,"1/2*a*x^2 + 1/2*b*log(x^2)","A",0
1810,1,10,0,1.055673," ","integrate(a+b/x^2,x, algorithm=""maxima"")","a x - \frac{b}{x}"," ",0,"a*x - b/x","A",0
1811,1,14,0,1.097701," ","integrate((a+b/x^2)/x,x, algorithm=""maxima"")","\frac{1}{2} \, a \log\left(x^{2}\right) - \frac{b}{2 \, x^{2}}"," ",0,"1/2*a*log(x^2) - 1/2*b/x^2","A",0
1812,1,13,0,1.027305," ","integrate((a+b/x^2)/x^2,x, algorithm=""maxima"")","-\frac{3 \, a x^{2} + b}{3 \, x^{3}}"," ",0,"-1/3*(3*a*x^2 + b)/x^3","A",0
1813,1,14,0,1.030516," ","integrate((a+b/x^2)/x^3,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{2}}\right)}^{2}}{4 \, b}"," ",0,"-1/4*(a + b/x^2)^2/b","A",0
1814,1,15,0,1.034525," ","integrate((a+b/x^2)/x^4,x, algorithm=""maxima"")","-\frac{5 \, a x^{2} + 3 \, b}{15 \, x^{5}}"," ",0,"-1/15*(5*a*x^2 + 3*b)/x^5","A",0
1815,1,15,0,1.081183," ","integrate((a+b/x^2)/x^5,x, algorithm=""maxima"")","-\frac{3 \, a x^{2} + 2 \, b}{12 \, x^{6}}"," ",0,"-1/12*(3*a*x^2 + 2*b)/x^6","A",0
1816,1,15,0,0.997876," ","integrate((a+b/x^2)/x^6,x, algorithm=""maxima"")","-\frac{7 \, a x^{2} + 5 \, b}{35 \, x^{7}}"," ",0,"-1/35*(7*a*x^2 + 5*b)/x^7","A",0
1817,1,24,0,0.800345," ","integrate((a+b/x^2)^2*x^6,x, algorithm=""maxima"")","\frac{1}{7} \, a^{2} x^{7} + \frac{2}{5} \, a b x^{5} + \frac{1}{3} \, b^{2} x^{3}"," ",0,"1/7*a^2*x^7 + 2/5*a*b*x^5 + 1/3*b^2*x^3","A",0
1818,1,24,0,0.879312," ","integrate((a+b/x^2)^2*x^5,x, algorithm=""maxima"")","\frac{1}{6} \, a^{2} x^{6} + \frac{1}{2} \, a b x^{4} + \frac{1}{2} \, b^{2} x^{2}"," ",0,"1/6*a^2*x^6 + 1/2*a*b*x^4 + 1/2*b^2*x^2","A",0
1819,1,21,0,0.847733," ","integrate((a+b/x^2)^2*x^4,x, algorithm=""maxima"")","\frac{1}{5} \, a^{2} x^{5} + \frac{2}{3} \, a b x^{3} + b^{2} x"," ",0,"1/5*a^2*x^5 + 2/3*a*b*x^3 + b^2*x","A",0
1820,1,24,0,0.915870," ","integrate((a+b/x^2)^2*x^3,x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} x^{4} + a b x^{2} + \frac{1}{2} \, b^{2} \log\left(x^{2}\right)"," ",0,"1/4*a^2*x^4 + a*b*x^2 + 1/2*b^2*log(x^2)","A",0
1821,1,22,0,0.895769," ","integrate((a+b/x^2)^2*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} x^{3} + 2 \, a b x - \frac{b^{2}}{x}"," ",0,"1/3*a^2*x^3 + 2*a*b*x - b^2/x","A",0
1822,1,24,0,0.880615," ","integrate((a+b/x^2)^2*x,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} x^{2} + a b \log\left(x^{2}\right) - \frac{b^{2}}{2 \, x^{2}}"," ",0,"1/2*a^2*x^2 + a*b*log(x^2) - 1/2*b^2/x^2","A",0
1823,1,21,0,0.858957," ","integrate((a+b/x^2)^2,x, algorithm=""maxima"")","a^{2} x - \frac{2 \, a b}{x} - \frac{b^{2}}{3 \, x^{3}}"," ",0,"a^2*x - 2*a*b/x - 1/3*b^2/x^3","A",0
1824,1,26,0,0.875822," ","integrate((a+b/x^2)^2/x,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} \log\left(x^{2}\right) - \frac{4 \, a b x^{2} + b^{2}}{4 \, x^{4}}"," ",0,"1/2*a^2*log(x^2) - 1/4*(4*a*b*x^2 + b^2)/x^4","A",0
1825,1,26,0,0.831576," ","integrate((a+b/x^2)^2/x^2,x, algorithm=""maxima"")","-\frac{15 \, a^{2} x^{4} + 10 \, a b x^{2} + 3 \, b^{2}}{15 \, x^{5}}"," ",0,"-1/15*(15*a^2*x^4 + 10*a*b*x^2 + 3*b^2)/x^5","A",0
1826,1,14,0,0.834882," ","integrate((a+b/x^2)^2/x^3,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{2}}\right)}^{3}}{6 \, b}"," ",0,"-1/6*(a + b/x^2)^3/b","A",0
1827,1,26,0,0.876126," ","integrate((a+b/x^2)^2/x^4,x, algorithm=""maxima"")","-\frac{35 \, a^{2} x^{4} + 42 \, a b x^{2} + 15 \, b^{2}}{105 \, x^{7}}"," ",0,"-1/105*(35*a^2*x^4 + 42*a*b*x^2 + 15*b^2)/x^7","A",0
1828,1,26,0,0.884593," ","integrate((a+b/x^2)^2/x^5,x, algorithm=""maxima"")","-\frac{6 \, a^{2} x^{4} + 8 \, a b x^{2} + 3 \, b^{2}}{24 \, x^{8}}"," ",0,"-1/24*(6*a^2*x^4 + 8*a*b*x^2 + 3*b^2)/x^8","A",0
1829,1,26,0,0.876895," ","integrate((a+b/x^2)^2/x^6,x, algorithm=""maxima"")","-\frac{63 \, a^{2} x^{4} + 90 \, a b x^{2} + 35 \, b^{2}}{315 \, x^{9}}"," ",0,"-1/315*(63*a^2*x^4 + 90*a*b*x^2 + 35*b^2)/x^9","A",0
1830,1,31,0,0.870690," ","integrate((a+b/x^2)^3*x^6,x, algorithm=""maxima"")","\frac{1}{7} \, a^{3} x^{7} + \frac{3}{5} \, a^{2} b x^{5} + a b^{2} x^{3} + b^{3} x"," ",0,"1/7*a^3*x^7 + 3/5*a^2*b*x^5 + a*b^2*x^3 + b^3*x","A",0
1831,1,36,0,0.868371," ","integrate((a+b/x^2)^3*x^5,x, algorithm=""maxima"")","\frac{1}{6} \, a^{3} x^{6} + \frac{3}{4} \, a^{2} b x^{4} + \frac{3}{2} \, a b^{2} x^{2} + \frac{1}{2} \, b^{3} \log\left(x^{2}\right)"," ",0,"1/6*a^3*x^6 + 3/4*a^2*b*x^4 + 3/2*a*b^2*x^2 + 1/2*b^3*log(x^2)","A",0
1832,1,32,0,0.906597," ","integrate((a+b/x^2)^3*x^4,x, algorithm=""maxima"")","\frac{1}{5} \, a^{3} x^{5} + a^{2} b x^{3} + 3 \, a b^{2} x - \frac{b^{3}}{x}"," ",0,"1/5*a^3*x^5 + a^2*b*x^3 + 3*a*b^2*x - b^3/x","A",0
1833,1,36,0,0.876289," ","integrate((a+b/x^2)^3*x^3,x, algorithm=""maxima"")","\frac{1}{4} \, a^{3} x^{4} + \frac{3}{2} \, a^{2} b x^{2} + \frac{3}{2} \, a b^{2} \log\left(x^{2}\right) - \frac{b^{3}}{2 \, x^{2}}"," ",0,"1/4*a^3*x^4 + 3/2*a^2*b*x^2 + 3/2*a*b^2*log(x^2) - 1/2*b^3/x^2","A",0
1834,1,34,0,0.818390," ","integrate((a+b/x^2)^3*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{3} x^{3} + 3 \, a^{2} b x - \frac{9 \, a b^{2} x^{2} + b^{3}}{3 \, x^{3}}"," ",0,"1/3*a^3*x^3 + 3*a^2*b*x - 1/3*(9*a*b^2*x^2 + b^3)/x^3","A",0
1835,1,37,0,0.878811," ","integrate((a+b/x^2)^3*x,x, algorithm=""maxima"")","\frac{1}{2} \, a^{3} x^{2} + \frac{3}{2} \, a^{2} b \log\left(x^{2}\right) - \frac{6 \, a b^{2} x^{2} + b^{3}}{4 \, x^{4}}"," ",0,"1/2*a^3*x^2 + 3/2*a^2*b*log(x^2) - 1/4*(6*a*b^2*x^2 + b^3)/x^4","A",0
1836,1,32,0,0.877296," ","integrate((a+b/x^2)^3,x, algorithm=""maxima"")","a^{3} x - \frac{3 \, a^{2} b}{x} - \frac{a b^{2}}{x^{3}} - \frac{b^{3}}{5 \, x^{5}}"," ",0,"a^3*x - 3*a^2*b/x - a*b^2/x^3 - 1/5*b^3/x^5","A",0
1837,1,39,0,0.890598," ","integrate((a+b/x^2)^3/x,x, algorithm=""maxima"")","\frac{1}{2} \, a^{3} \log\left(x^{2}\right) - \frac{18 \, a^{2} b x^{4} + 9 \, a b^{2} x^{2} + 2 \, b^{3}}{12 \, x^{6}}"," ",0,"1/2*a^3*log(x^2) - 1/12*(18*a^2*b*x^4 + 9*a*b^2*x^2 + 2*b^3)/x^6","A",0
1838,1,37,0,0.897243," ","integrate((a+b/x^2)^3/x^2,x, algorithm=""maxima"")","-\frac{35 \, a^{3} x^{6} + 35 \, a^{2} b x^{4} + 21 \, a b^{2} x^{2} + 5 \, b^{3}}{35 \, x^{7}}"," ",0,"-1/35*(35*a^3*x^6 + 35*a^2*b*x^4 + 21*a*b^2*x^2 + 5*b^3)/x^7","A",0
1839,1,14,0,0.854716," ","integrate((a+b/x^2)^3/x^3,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{2}}\right)}^{4}}{8 \, b}"," ",0,"-1/8*(a + b/x^2)^4/b","A",0
1840,1,37,0,0.873363," ","integrate((a+b/x^2)^3/x^4,x, algorithm=""maxima"")","-\frac{105 \, a^{3} x^{6} + 189 \, a^{2} b x^{4} + 135 \, a b^{2} x^{2} + 35 \, b^{3}}{315 \, x^{9}}"," ",0,"-1/315*(105*a^3*x^6 + 189*a^2*b*x^4 + 135*a*b^2*x^2 + 35*b^3)/x^9","A",0
1841,1,37,0,0.865867," ","integrate((a+b/x^2)^3/x^5,x, algorithm=""maxima"")","-\frac{10 \, a^{3} x^{6} + 20 \, a^{2} b x^{4} + 15 \, a b^{2} x^{2} + 4 \, b^{3}}{40 \, x^{10}}"," ",0,"-1/40*(10*a^3*x^6 + 20*a^2*b*x^4 + 15*a*b^2*x^2 + 4*b^3)/x^10","A",0
1842,1,37,0,0.832131," ","integrate((a+b/x^2)^3/x^6,x, algorithm=""maxima"")","-\frac{231 \, a^{3} x^{6} + 495 \, a^{2} b x^{4} + 385 \, a b^{2} x^{2} + 105 \, b^{3}}{1155 \, x^{11}}"," ",0,"-1/1155*(231*a^3*x^6 + 495*a^2*b*x^4 + 385*a*b^2*x^2 + 105*b^3)/x^11","A",0
1843,1,60,0,1.842628," ","integrate(x^6/(a+b/x^2),x, algorithm=""maxima"")","\frac{b^{4} \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b} a^{4}} + \frac{15 \, a^{3} x^{7} - 21 \, a^{2} b x^{5} + 35 \, a b^{2} x^{3} - 105 \, b^{3} x}{105 \, a^{4}}"," ",0,"b^4*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a^4) + 1/105*(15*a^3*x^7 - 21*a^2*b*x^5 + 35*a*b^2*x^3 - 105*b^3*x)/a^4","A",0
1844,1,46,0,0.875196," ","integrate(x^5/(a+b/x^2),x, algorithm=""maxima"")","-\frac{b^{3} \log\left(a x^{2} + b\right)}{2 \, a^{4}} + \frac{2 \, a^{2} x^{6} - 3 \, a b x^{4} + 6 \, b^{2} x^{2}}{12 \, a^{3}}"," ",0,"-1/2*b^3*log(a*x^2 + b)/a^4 + 1/12*(2*a^2*x^6 - 3*a*b*x^4 + 6*b^2*x^2)/a^3","A",0
1845,1,50,0,1.999384," ","integrate(x^4/(a+b/x^2),x, algorithm=""maxima"")","-\frac{b^{3} \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}} + \frac{3 \, a^{2} x^{5} - 5 \, a b x^{3} + 15 \, b^{2} x}{15 \, a^{3}}"," ",0,"-b^3*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a^3) + 1/15*(3*a^2*x^5 - 5*a*b*x^3 + 15*b^2*x)/a^3","A",0
1846,1,34,0,0.825356," ","integrate(x^3/(a+b/x^2),x, algorithm=""maxima"")","\frac{b^{2} \log\left(a x^{2} + b\right)}{2 \, a^{3}} + \frac{a x^{4} - 2 \, b x^{2}}{4 \, a^{2}}"," ",0,"1/2*b^2*log(a*x^2 + b)/a^3 + 1/4*(a*x^4 - 2*b*x^2)/a^2","A",0
1847,1,37,0,1.850121," ","integrate(x^2/(a+b/x^2),x, algorithm=""maxima"")","\frac{b^{2} \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}} + \frac{a x^{3} - 3 \, b x}{3 \, a^{2}}"," ",0,"b^2*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a^2) + 1/3*(a*x^3 - 3*b*x)/a^2","A",0
1848,1,23,0,0.785633," ","integrate(x/(a+b/x^2),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, a} - \frac{b \log\left(a x^{2} + b\right)}{2 \, a^{2}}"," ",0,"1/2*x^2/a - 1/2*b*log(a*x^2 + b)/a^2","A",0
1849,1,26,0,1.934512," ","integrate(1/(a+b/x^2),x, algorithm=""maxima"")","-\frac{b \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b} a} + \frac{x}{a}"," ",0,"-b*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a) + x/a","A",0
1850,1,13,0,0.862257," ","integrate(1/(a+b/x^2)/x,x, algorithm=""maxima"")","\frac{\log\left(a x^{2} + b\right)}{2 \, a}"," ",0,"1/2*log(a*x^2 + b)/a","A",0
1851,1,15,0,1.930948," ","integrate(1/(a+b/x^2)/x^2,x, algorithm=""maxima"")","\frac{\arctan\left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"arctan(a*x/sqrt(a*b))/sqrt(a*b)","A",0
1852,1,13,0,0.772525," ","integrate(1/(a+b/x^2)/x^3,x, algorithm=""maxima"")","-\frac{\log\left(a + \frac{b}{x^{2}}\right)}{2 \, b}"," ",0,"-1/2*log(a + b/x^2)/b","A",0
1853,1,29,0,1.844764," ","integrate(1/(a+b/x^2)/x^4,x, algorithm=""maxima"")","-\frac{a \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b} b} - \frac{1}{b x}"," ",0,"-a*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*b) - 1/(b*x)","A",0
1854,1,33,0,0.851688," ","integrate(1/(a+b/x^2)/x^5,x, algorithm=""maxima"")","\frac{a \log\left(a x^{2} + b\right)}{2 \, b^{2}} - \frac{a \log\left(x^{2}\right)}{2 \, b^{2}} - \frac{1}{2 \, b x^{2}}"," ",0,"1/2*a*log(a*x^2 + b)/b^2 - 1/2*a*log(x^2)/b^2 - 1/2/(b*x^2)","A",0
1855,1,40,0,1.907159," ","integrate(1/(a+b/x^2)/x^6,x, algorithm=""maxima"")","\frac{a^{2} \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{3 \, a x^{2} - b}{3 \, b^{2} x^{3}}"," ",0,"a^2*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*b^2) + 1/3*(3*a*x^2 - b)/(b^2*x^3)","A",0
1856,1,47,0,0.856758," ","integrate(1/(a+b/x^2)/x^7,x, algorithm=""maxima"")","-\frac{a^{2} \log\left(a x^{2} + b\right)}{2 \, b^{3}} + \frac{a^{2} \log\left(x^{2}\right)}{2 \, b^{3}} + \frac{2 \, a x^{2} - b}{4 \, b^{2} x^{4}}"," ",0,"-1/2*a^2*log(a*x^2 + b)/b^3 + 1/2*a^2*log(x^2)/b^3 + 1/4*(2*a*x^2 - b)/(b^2*x^4)","A",0
1857,1,52,0,1.886935," ","integrate(1/(a+b/x^2)/x^8,x, algorithm=""maxima"")","-\frac{a^{3} \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b} b^{3}} - \frac{15 \, a^{2} x^{4} - 5 \, a b x^{2} + 3 \, b^{2}}{15 \, b^{3} x^{5}}"," ",0,"-a^3*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*b^3) - 1/15*(15*a^2*x^4 - 5*a*b*x^2 + 3*b^2)/(b^3*x^5)","A",0
1858,1,82,0,1.996869," ","integrate(x^6/(a+b/x^2)^2,x, algorithm=""maxima"")","-\frac{b^{4} x}{2 \, {\left(a^{6} x^{2} + a^{5} b\right)}} + \frac{9 \, b^{4} \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{5}} + \frac{5 \, a^{3} x^{7} - 14 \, a^{2} b x^{5} + 35 \, a b^{2} x^{3} - 140 \, b^{3} x}{35 \, a^{5}}"," ",0,"-1/2*b^4*x/(a^6*x^2 + a^5*b) + 9/2*b^4*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a^5) + 1/35*(5*a^3*x^7 - 14*a^2*b*x^5 + 35*a*b^2*x^3 - 140*b^3*x)/a^5","A",0
1859,1,65,0,0.877193," ","integrate(x^5/(a+b/x^2)^2,x, algorithm=""maxima"")","-\frac{b^{4}}{2 \, {\left(a^{6} x^{2} + a^{5} b\right)}} - \frac{2 \, b^{3} \log\left(a x^{2} + b\right)}{a^{5}} + \frac{a^{2} x^{6} - 3 \, a b x^{4} + 9 \, b^{2} x^{2}}{6 \, a^{4}}"," ",0,"-1/2*b^4/(a^6*x^2 + a^5*b) - 2*b^3*log(a*x^2 + b)/a^5 + 1/6*(a^2*x^6 - 3*a*b*x^4 + 9*b^2*x^2)/a^4","A",0
1860,1,71,0,1.883144," ","integrate(x^4/(a+b/x^2)^2,x, algorithm=""maxima"")","\frac{b^{3} x}{2 \, {\left(a^{5} x^{2} + a^{4} b\right)}} - \frac{7 \, b^{3} \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{4}} + \frac{3 \, a^{2} x^{5} - 10 \, a b x^{3} + 45 \, b^{2} x}{15 \, a^{4}}"," ",0,"1/2*b^3*x/(a^5*x^2 + a^4*b) - 7/2*b^3*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a^4) + 1/15*(3*a^2*x^5 - 10*a*b*x^3 + 45*b^2*x)/a^4","A",0
1861,1,54,0,0.784202," ","integrate(x^3/(a+b/x^2)^2,x, algorithm=""maxima"")","\frac{b^{3}}{2 \, {\left(a^{5} x^{2} + a^{4} b\right)}} + \frac{3 \, b^{2} \log\left(a x^{2} + b\right)}{2 \, a^{4}} + \frac{a x^{4} - 4 \, b x^{2}}{4 \, a^{3}}"," ",0,"1/2*b^3/(a^5*x^2 + a^4*b) + 3/2*b^2*log(a*x^2 + b)/a^4 + 1/4*(a*x^4 - 4*b*x^2)/a^3","A",0
1862,1,59,0,1.934453," ","integrate(x^2/(a+b/x^2)^2,x, algorithm=""maxima"")","-\frac{b^{2} x}{2 \, {\left(a^{4} x^{2} + a^{3} b\right)}} + \frac{5 \, b^{2} \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{3}} + \frac{a x^{3} - 6 \, b x}{3 \, a^{3}}"," ",0,"-1/2*b^2*x/(a^4*x^2 + a^3*b) + 5/2*b^2*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a^3) + 1/3*(a*x^3 - 6*b*x)/a^3","A",0
1863,1,43,0,0.896420," ","integrate(x/(a+b/x^2)^2,x, algorithm=""maxima"")","-\frac{b^{2}}{2 \, {\left(a^{4} x^{2} + a^{3} b\right)}} + \frac{x^{2}}{2 \, a^{2}} - \frac{b \log\left(a x^{2} + b\right)}{a^{3}}"," ",0,"-1/2*b^2/(a^4*x^2 + a^3*b) + 1/2*x^2/a^2 - b*log(a*x^2 + b)/a^3","A",0
1864,1,45,0,1.982574," ","integrate(1/(a+b/x^2)^2,x, algorithm=""maxima"")","\frac{b x}{2 \, {\left(a^{3} x^{2} + a^{2} b\right)}} - \frac{3 \, b \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a^{2}} + \frac{x}{a^{2}}"," ",0,"1/2*b*x/(a^3*x^2 + a^2*b) - 3/2*b*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a^2) + x/a^2","A",0
1865,1,32,0,0.882460," ","integrate(1/(a+b/x^2)^2/x,x, algorithm=""maxima"")","\frac{b}{2 \, {\left(a^{3} x^{2} + a^{2} b\right)}} + \frac{\log\left(a x^{2} + b\right)}{2 \, a^{2}}"," ",0,"1/2*b/(a^3*x^2 + a^2*b) + 1/2*log(a*x^2 + b)/a^2","A",0
1866,1,36,0,1.986857," ","integrate(1/(a+b/x^2)^2/x^2,x, algorithm=""maxima"")","-\frac{x}{2 \, {\left(a^{2} x^{2} + a b\right)}} + \frac{\arctan\left(\frac{a x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a}"," ",0,"-1/2*x/(a^2*x^2 + a*b) + 1/2*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a)","A",0
1867,1,14,0,0.836713," ","integrate(1/(a+b/x^2)^2/x^3,x, algorithm=""maxima"")","\frac{1}{2 \, {\left(a + \frac{b}{x^{2}}\right)} b}"," ",0,"1/2/((a + b/x^2)*b)","A",0
1868,1,35,0,1.988826," ","integrate(1/(a+b/x^2)^2/x^4,x, algorithm=""maxima"")","\frac{x}{2 \, {\left(a b x^{2} + b^{2}\right)}} + \frac{\arctan\left(\frac{a x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b}"," ",0,"1/2*x/(a*b*x^2 + b^2) + 1/2*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*b)","A",0
1869,1,37,0,0.811597," ","integrate(1/(a+b/x^2)^2/x^5,x, algorithm=""maxima"")","\frac{1}{2 \, {\left(a b x^{2} + b^{2}\right)}} - \frac{\log\left(a x^{2} + b\right)}{2 \, b^{2}} + \frac{\log\left(x^{2}\right)}{2 \, b^{2}}"," ",0,"1/2/(a*b*x^2 + b^2) - 1/2*log(a*x^2 + b)/b^2 + 1/2*log(x^2)/b^2","A",0
1870,1,49,0,1.949598," ","integrate(1/(a+b/x^2)^2/x^6,x, algorithm=""maxima"")","-\frac{3 \, a x^{2} + 2 \, b}{2 \, {\left(a b^{2} x^{3} + b^{3} x\right)}} - \frac{3 \, a \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{2}}"," ",0,"-1/2*(3*a*x^2 + 2*b)/(a*b^2*x^3 + b^3*x) - 3/2*a*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*b^2)","A",0
1871,1,52,0,0.911216," ","integrate(1/(a+b/x^2)^2/x^7,x, algorithm=""maxima"")","-\frac{2 \, a x^{2} + b}{2 \, {\left(a b^{2} x^{4} + b^{3} x^{2}\right)}} + \frac{a \log\left(a x^{2} + b\right)}{b^{3}} - \frac{a \log\left(x^{2}\right)}{b^{3}}"," ",0,"-1/2*(2*a*x^2 + b)/(a*b^2*x^4 + b^3*x^2) + a*log(a*x^2 + b)/b^3 - a*log(x^2)/b^3","A",0
1872,1,64,0,1.894489," ","integrate(1/(a+b/x^2)^2/x^8,x, algorithm=""maxima"")","\frac{15 \, a^{2} x^{4} + 10 \, a b x^{2} - 2 \, b^{2}}{6 \, {\left(a b^{3} x^{5} + b^{4} x^{3}\right)}} + \frac{5 \, a^{2} \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} b^{3}}"," ",0,"1/6*(15*a^2*x^4 + 10*a*b*x^2 - 2*b^2)/(a*b^3*x^5 + b^4*x^3) + 5/2*a^2*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*b^3)","A",0
1873,1,70,0,0.881920," ","integrate(1/(a+b/x^2)^2/x^9,x, algorithm=""maxima"")","\frac{6 \, a^{2} x^{4} + 3 \, a b x^{2} - b^{2}}{4 \, {\left(a b^{3} x^{6} + b^{4} x^{4}\right)}} - \frac{3 \, a^{2} \log\left(a x^{2} + b\right)}{2 \, b^{4}} + \frac{3 \, a^{2} \log\left(x^{2}\right)}{2 \, b^{4}}"," ",0,"1/4*(6*a^2*x^4 + 3*a*b*x^2 - b^2)/(a*b^3*x^6 + b^4*x^4) - 3/2*a^2*log(a*x^2 + b)/b^4 + 3/2*a^2*log(x^2)/b^4","A",0
1874,1,89,0,0.882599," ","integrate(x^5/(a+b/x^2)^3,x, algorithm=""maxima"")","-\frac{10 \, a b^{4} x^{2} + 9 \, b^{5}}{4 \, {\left(a^{8} x^{4} + 2 \, a^{7} b x^{2} + a^{6} b^{2}\right)}} - \frac{5 \, b^{3} \log\left(a x^{2} + b\right)}{a^{6}} + \frac{2 \, a^{2} x^{6} - 9 \, a b x^{4} + 36 \, b^{2} x^{2}}{12 \, a^{5}}"," ",0,"-1/4*(10*a*b^4*x^2 + 9*b^5)/(a^8*x^4 + 2*a^7*b*x^2 + a^6*b^2) - 5*b^3*log(a*x^2 + b)/a^6 + 1/12*(2*a^2*x^6 - 9*a*b*x^4 + 36*b^2*x^2)/a^5","A",0
1875,1,93,0,1.867793," ","integrate(x^4/(a+b/x^2)^3,x, algorithm=""maxima"")","\frac{17 \, a b^{3} x^{3} + 15 \, b^{4} x}{8 \, {\left(a^{7} x^{4} + 2 \, a^{6} b x^{2} + a^{5} b^{2}\right)}} - \frac{63 \, b^{3} \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{5}} + \frac{a^{2} x^{5} - 5 \, a b x^{3} + 30 \, b^{2} x}{5 \, a^{5}}"," ",0,"1/8*(17*a*b^3*x^3 + 15*b^4*x)/(a^7*x^4 + 2*a^6*b*x^2 + a^5*b^2) - 63/8*b^3*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a^5) + 1/5*(a^2*x^5 - 5*a*b*x^3 + 30*b^2*x)/a^5","A",0
1876,1,77,0,0.833890," ","integrate(x^3/(a+b/x^2)^3,x, algorithm=""maxima"")","\frac{8 \, a b^{3} x^{2} + 7 \, b^{4}}{4 \, {\left(a^{7} x^{4} + 2 \, a^{6} b x^{2} + a^{5} b^{2}\right)}} + \frac{3 \, b^{2} \log\left(a x^{2} + b\right)}{a^{5}} + \frac{a x^{4} - 6 \, b x^{2}}{4 \, a^{4}}"," ",0,"1/4*(8*a*b^3*x^2 + 7*b^4)/(a^7*x^4 + 2*a^6*b*x^2 + a^5*b^2) + 3*b^2*log(a*x^2 + b)/a^5 + 1/4*(a*x^4 - 6*b*x^2)/a^4","A",0
1877,1,82,0,1.757952," ","integrate(x^2/(a+b/x^2)^3,x, algorithm=""maxima"")","-\frac{13 \, a b^{2} x^{3} + 11 \, b^{3} x}{8 \, {\left(a^{6} x^{4} + 2 \, a^{5} b x^{2} + a^{4} b^{2}\right)}} + \frac{35 \, b^{2} \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{4}} + \frac{a x^{3} - 9 \, b x}{3 \, a^{4}}"," ",0,"-1/8*(13*a*b^2*x^3 + 11*b^3*x)/(a^6*x^4 + 2*a^5*b*x^2 + a^4*b^2) + 35/8*b^2*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a^4) + 1/3*(a*x^3 - 9*b*x)/a^4","A",0
1878,1,66,0,0.856543," ","integrate(x/(a+b/x^2)^3,x, algorithm=""maxima"")","-\frac{6 \, a b^{2} x^{2} + 5 \, b^{3}}{4 \, {\left(a^{6} x^{4} + 2 \, a^{5} b x^{2} + a^{4} b^{2}\right)}} + \frac{x^{2}}{2 \, a^{3}} - \frac{3 \, b \log\left(a x^{2} + b\right)}{2 \, a^{4}}"," ",0,"-1/4*(6*a*b^2*x^2 + 5*b^3)/(a^6*x^4 + 2*a^5*b*x^2 + a^4*b^2) + 1/2*x^2/a^3 - 3/2*b*log(a*x^2 + b)/a^4","A",0
1879,1,68,0,1.971272," ","integrate(1/(a+b/x^2)^3,x, algorithm=""maxima"")","\frac{9 \, a b x^{3} + 7 \, b^{2} x}{8 \, {\left(a^{5} x^{4} + 2 \, a^{4} b x^{2} + a^{3} b^{2}\right)}} - \frac{15 \, b \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{3}} + \frac{x}{a^{3}}"," ",0,"1/8*(9*a*b*x^3 + 7*b^2*x)/(a^5*x^4 + 2*a^4*b*x^2 + a^3*b^2) - 15/8*b*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a^3) + x/a^3","A",0
1880,1,55,0,0.858002," ","integrate(1/(a+b/x^2)^3/x,x, algorithm=""maxima"")","\frac{4 \, a b x^{2} + 3 \, b^{2}}{4 \, {\left(a^{5} x^{4} + 2 \, a^{4} b x^{2} + a^{3} b^{2}\right)}} + \frac{\log\left(a x^{2} + b\right)}{2 \, a^{3}}"," ",0,"1/4*(4*a*b*x^2 + 3*b^2)/(a^5*x^4 + 2*a^4*b*x^2 + a^3*b^2) + 1/2*log(a*x^2 + b)/a^3","A",0
1881,1,59,0,1.922399," ","integrate(1/(a+b/x^2)^3/x^2,x, algorithm=""maxima"")","-\frac{5 \, a x^{3} + 3 \, b x}{8 \, {\left(a^{4} x^{4} + 2 \, a^{3} b x^{2} + a^{2} b^{2}\right)}} + \frac{3 \, \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{2}}"," ",0,"-1/8*(5*a*x^3 + 3*b*x)/(a^4*x^4 + 2*a^3*b*x^2 + a^2*b^2) + 3/8*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a^2)","A",0
1882,1,14,0,0.867724," ","integrate(1/(a+b/x^2)^3/x^3,x, algorithm=""maxima"")","\frac{1}{4 \, {\left(a + \frac{b}{x^{2}}\right)}^{2} b}"," ",0,"1/4/((a + b/x^2)^2*b)","A",0
1883,1,62,0,1.862962," ","integrate(1/(a+b/x^2)^3/x^4,x, algorithm=""maxima"")","\frac{a x^{3} - b x}{8 \, {\left(a^{3} b x^{4} + 2 \, a^{2} b^{2} x^{2} + a b^{3}\right)}} + \frac{\arctan\left(\frac{a x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a b}"," ",0,"1/8*(a*x^3 - b*x)/(a^3*b*x^4 + 2*a^2*b^2*x^2 + a*b^3) + 1/8*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a*b)","A",0
1884,1,26,0,0.673981," ","integrate(1/(a+b/x^2)^3/x^5,x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(a^{3} x^{4} + 2 \, a^{2} b x^{2} + a b^{2}\right)}}"," ",0,"-1/4/(a^3*x^4 + 2*a^2*b*x^2 + a*b^2)","A",0
1885,1,58,0,1.952788," ","integrate(1/(a+b/x^2)^3/x^6,x, algorithm=""maxima"")","\frac{3 \, a x^{3} + 5 \, b x}{8 \, {\left(a^{2} b^{2} x^{4} + 2 \, a b^{3} x^{2} + b^{4}\right)}} + \frac{3 \, \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{2}}"," ",0,"1/8*(3*a*x^3 + 5*b*x)/(a^2*b^2*x^4 + 2*a*b^3*x^2 + b^4) + 3/8*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*b^2)","A",0
1886,1,60,0,0.890708," ","integrate(1/(a+b/x^2)^3/x^7,x, algorithm=""maxima"")","\frac{2 \, a x^{2} + 3 \, b}{4 \, {\left(a^{2} b^{2} x^{4} + 2 \, a b^{3} x^{2} + b^{4}\right)}} - \frac{\log\left(a x^{2} + b\right)}{2 \, b^{3}} + \frac{\log\left(x^{2}\right)}{2 \, b^{3}}"," ",0,"1/4*(2*a*x^2 + 3*b)/(a^2*b^2*x^4 + 2*a*b^3*x^2 + b^4) - 1/2*log(a*x^2 + b)/b^3 + 1/2*log(x^2)/b^3","A",0
1887,1,71,0,1.956276," ","integrate(1/(a+b/x^2)^3/x^8,x, algorithm=""maxima"")","-\frac{15 \, a^{2} x^{4} + 25 \, a b x^{2} + 8 \, b^{2}}{8 \, {\left(a^{2} b^{3} x^{5} + 2 \, a b^{4} x^{3} + b^{5} x\right)}} - \frac{15 \, a \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{3}}"," ",0,"-1/8*(15*a^2*x^4 + 25*a*b*x^2 + 8*b^2)/(a^2*b^3*x^5 + 2*a*b^4*x^3 + b^5*x) - 15/8*a*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*b^3)","A",0
1888,1,77,0,0.898470," ","integrate(1/(a+b/x^2)^3/x^9,x, algorithm=""maxima"")","-\frac{6 \, a^{2} x^{4} + 9 \, a b x^{2} + 2 \, b^{2}}{4 \, {\left(a^{2} b^{3} x^{6} + 2 \, a b^{4} x^{4} + b^{5} x^{2}\right)}} + \frac{3 \, a \log\left(a x^{2} + b\right)}{2 \, b^{4}} - \frac{3 \, a \log\left(x^{2}\right)}{2 \, b^{4}}"," ",0,"-1/4*(6*a^2*x^4 + 9*a*b*x^2 + 2*b^2)/(a^2*b^3*x^6 + 2*a*b^4*x^4 + b^5*x^2) + 3/2*a*log(a*x^2 + b)/b^4 - 3/2*a*log(x^2)/b^4","A",0
1889,1,86,0,2.026219," ","integrate(1/(a+b/x^2)^3/x^10,x, algorithm=""maxima"")","\frac{105 \, a^{3} x^{6} + 175 \, a^{2} b x^{4} + 56 \, a b^{2} x^{2} - 8 \, b^{3}}{24 \, {\left(a^{2} b^{4} x^{7} + 2 \, a b^{5} x^{5} + b^{6} x^{3}\right)}} + \frac{35 \, a^{2} \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} b^{4}}"," ",0,"1/24*(105*a^3*x^6 + 175*a^2*b*x^4 + 56*a*b^2*x^2 - 8*b^3)/(a^2*b^4*x^7 + 2*a*b^5*x^5 + b^6*x^3) + 35/8*a^2*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*b^4)","A",0
1890,1,92,0,0.925979," ","integrate(1/(a+b/x^2)^3/x^11,x, algorithm=""maxima"")","\frac{12 \, a^{3} x^{6} + 18 \, a^{2} b x^{4} + 4 \, a b^{2} x^{2} - b^{3}}{4 \, {\left(a^{2} b^{4} x^{8} + 2 \, a b^{5} x^{6} + b^{6} x^{4}\right)}} - \frac{3 \, a^{2} \log\left(a x^{2} + b\right)}{b^{5}} + \frac{3 \, a^{2} \log\left(x^{2}\right)}{b^{5}}"," ",0,"1/4*(12*a^3*x^6 + 18*a^2*b*x^4 + 4*a*b^2*x^2 - b^3)/(a^2*b^4*x^8 + 2*a*b^5*x^6 + b^6*x^4) - 3*a^2*log(a*x^2 + b)/b^5 + 3*a^2*log(x^2)/b^5","A",0
1891,1,100,0,1.972172," ","integrate((a+b/x^2)^(1/2)*x^3,x, algorithm=""maxima"")","\frac{b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right)}{16 \, a^{\frac{3}{2}}} + \frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b^{2} + \sqrt{a + \frac{b}{x^{2}}} a b^{2}}{8 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{2} a - 2 \, {\left(a + \frac{b}{x^{2}}\right)} a^{2} + a^{3}\right)}}"," ",0,"1/16*b^2*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a)))/a^(3/2) + 1/8*((a + b/x^2)^(3/2)*b^2 + sqrt(a + b/x^2)*a*b^2)/((a + b/x^2)^2*a - 2*(a + b/x^2)*a^2 + a^3)","A",0
1892,1,17,0,0.881610," ","integrate((a+b/x^2)^(1/2)*x^2,x, algorithm=""maxima"")","\frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} x^{3}}{3 \, a}"," ",0,"1/3*(a + b/x^2)^(3/2)*x^3/a","A",0
1893,1,53,0,2.049227," ","integrate((a+b/x^2)^(1/2)*x,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{a + \frac{b}{x^{2}}} x^{2} - \frac{b \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right)}{4 \, \sqrt{a}}"," ",0,"1/2*sqrt(a + b/x^2)*x^2 - 1/4*b*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a)))/sqrt(a)","A",0
1894,1,53,0,1.974035," ","integrate((a+b/x^2)^(1/2),x, algorithm=""maxima"")","\sqrt{a + \frac{b}{x^{2}}} x + \frac{1}{2} \, \sqrt{b} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)"," ",0,"sqrt(a + b/x^2)*x + 1/2*sqrt(b)*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))","A",0
1895,1,49,0,1.934795," ","integrate((a+b/x^2)^(1/2)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{a} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right) - \sqrt{a + \frac{b}{x^{2}}}"," ",0,"-1/2*sqrt(a)*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a))) - sqrt(a + b/x^2)","A",0
1896,1,73,0,1.892277," ","integrate((a+b/x^2)^(1/2)/x^2,x, algorithm=""maxima"")","-\frac{\sqrt{a + \frac{b}{x^{2}}} a x}{2 \, {\left({\left(a + \frac{b}{x^{2}}\right)} x^{2} - b\right)}} + \frac{a \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)}{4 \, \sqrt{b}}"," ",0,"-1/2*sqrt(a + b/x^2)*a*x/((a + b/x^2)*x^2 - b) + 1/4*a*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))/sqrt(b)","A",0
1897,1,14,0,0.859088," ","integrate((a+b/x^2)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}}}{3 \, b}"," ",0,"-1/3*(a + b/x^2)^(3/2)/b","A",0
1898,1,114,0,1.975271," ","integrate((a+b/x^2)^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{a^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)}{16 \, b^{\frac{3}{2}}} - \frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{2} x^{3} + \sqrt{a + \frac{b}{x^{2}}} a^{2} b x}{8 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{2} b x^{4} - 2 \, {\left(a + \frac{b}{x^{2}}\right)} b^{2} x^{2} + b^{3}\right)}}"," ",0,"-1/16*a^2*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))/b^(3/2) - 1/8*((a + b/x^2)^(3/2)*a^2*x^3 + sqrt(a + b/x^2)*a^2*b*x)/((a + b/x^2)^2*b*x^4 - 2*(a + b/x^2)*b^2*x^2 + b^3)","A",0
1899,1,98,0,1.927347," ","integrate((a+b/x^2)^(3/2)*x^3,x, algorithm=""maxima"")","-\frac{3 \, b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right)}{16 \, \sqrt{a}} + \frac{5 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b^{2} - 3 \, \sqrt{a + \frac{b}{x^{2}}} a b^{2}}{8 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{2} - 2 \, {\left(a + \frac{b}{x^{2}}\right)} a + a^{2}\right)}}"," ",0,"-3/16*b^2*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a)))/sqrt(a) + 1/8*(5*(a + b/x^2)^(3/2)*b^2 - 3*sqrt(a + b/x^2)*a*b^2)/((a + b/x^2)^2 - 2*(a + b/x^2)*a + a^2)","A",0
1900,1,68,0,1.864350," ","integrate((a+b/x^2)^(3/2)*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} x^{3} + \sqrt{a + \frac{b}{x^{2}}} b x + \frac{1}{2} \, b^{\frac{3}{2}} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)"," ",0,"1/3*(a + b/x^2)^(3/2)*x^3 + sqrt(a + b/x^2)*b*x + 1/2*b^(3/2)*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))","A",0
1901,1,66,0,1.972179," ","integrate((a+b/x^2)^(3/2)*x,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{a + \frac{b}{x^{2}}} a x^{2} - \frac{3}{4} \, \sqrt{a} b \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right) - \sqrt{a + \frac{b}{x^{2}}} b"," ",0,"1/2*sqrt(a + b/x^2)*a*x^2 - 3/4*sqrt(a)*b*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a))) - sqrt(a + b/x^2)*b","A",0
1902,1,86,0,1.941368," ","integrate((a+b/x^2)^(3/2),x, algorithm=""maxima"")","\sqrt{a + \frac{b}{x^{2}}} a x - \frac{\sqrt{a + \frac{b}{x^{2}}} a b x}{2 \, {\left({\left(a + \frac{b}{x^{2}}\right)} x^{2} - b\right)}} + \frac{3}{4} \, a \sqrt{b} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)"," ",0,"sqrt(a + b/x^2)*a*x - 1/2*sqrt(a + b/x^2)*a*b*x/((a + b/x^2)*x^2 - b) + 3/4*a*sqrt(b)*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))","A",0
1903,1,61,0,1.944321," ","integrate((a+b/x^2)^(3/2)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, a^{\frac{3}{2}} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right) - \frac{1}{3} \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} - \sqrt{a + \frac{b}{x^{2}}} a"," ",0,"-1/2*a^(3/2)*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a))) - 1/3*(a + b/x^2)^(3/2) - sqrt(a + b/x^2)*a","A",0
1904,1,113,0,1.941433," ","integrate((a+b/x^2)^(3/2)/x^2,x, algorithm=""maxima"")","\frac{3 \, a^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)}{16 \, \sqrt{b}} - \frac{5 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{2} x^{3} - 3 \, \sqrt{a + \frac{b}{x^{2}}} a^{2} b x}{8 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{2} x^{4} - 2 \, {\left(a + \frac{b}{x^{2}}\right)} b x^{2} + b^{2}\right)}}"," ",0,"3/16*a^2*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))/sqrt(b) - 1/8*(5*(a + b/x^2)^(3/2)*a^2*x^3 - 3*sqrt(a + b/x^2)*a^2*b*x)/((a + b/x^2)^2*x^4 - 2*(a + b/x^2)*b*x^2 + b^2)","B",0
1905,1,14,0,0.863496," ","integrate((a+b/x^2)^(3/2)/x^3,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}}}{5 \, b}"," ",0,"-1/5*(a + b/x^2)^(5/2)/b","A",0
1906,1,155,0,2.004254," ","integrate((a+b/x^2)^(3/2)/x^4,x, algorithm=""maxima"")","-\frac{a^{3} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)}{32 \, b^{\frac{3}{2}}} - \frac{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}} a^{3} x^{5} + 8 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{3} b x^{3} - 3 \, \sqrt{a + \frac{b}{x^{2}}} a^{3} b^{2} x}{48 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{3} b x^{6} - 3 \, {\left(a + \frac{b}{x^{2}}\right)}^{2} b^{2} x^{4} + 3 \, {\left(a + \frac{b}{x^{2}}\right)} b^{3} x^{2} - b^{4}\right)}}"," ",0,"-1/32*a^3*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))/b^(3/2) - 1/48*(3*(a + b/x^2)^(5/2)*a^3*x^5 + 8*(a + b/x^2)^(3/2)*a^3*b*x^3 - 3*sqrt(a + b/x^2)*a^3*b^2*x)/((a + b/x^2)^3*b*x^6 - 3*(a + b/x^2)^2*b^2*x^4 + 3*(a + b/x^2)*b^3*x^2 - b^4)","B",0
1907,1,115,0,1.798710," ","integrate((a+b/x^2)^(5/2)*x^3,x, algorithm=""maxima"")","-\frac{15}{16} \, \sqrt{a} b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right) - \sqrt{a + \frac{b}{x^{2}}} b^{2} + \frac{9 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a b^{2} - 7 \, \sqrt{a + \frac{b}{x^{2}}} a^{2} b^{2}}{8 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{2} - 2 \, {\left(a + \frac{b}{x^{2}}\right)} a + a^{2}\right)}}"," ",0,"-15/16*sqrt(a)*b^2*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a))) - sqrt(a + b/x^2)*b^2 + 1/8*(9*(a + b/x^2)^(3/2)*a*b^2 - 7*sqrt(a + b/x^2)*a^2*b^2)/((a + b/x^2)^2 - 2*(a + b/x^2)*a + a^2)","A",0
1908,1,105,0,1.803642," ","integrate((a+b/x^2)^(5/2)*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a x^{3} + 2 \, \sqrt{a + \frac{b}{x^{2}}} a b x - \frac{\sqrt{a + \frac{b}{x^{2}}} a b^{2} x}{2 \, {\left({\left(a + \frac{b}{x^{2}}\right)} x^{2} - b\right)}} + \frac{5}{4} \, a b^{\frac{3}{2}} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)"," ",0,"1/3*(a + b/x^2)^(3/2)*a*x^3 + 2*sqrt(a + b/x^2)*a*b*x - 1/2*sqrt(a + b/x^2)*a*b^2*x/((a + b/x^2)*x^2 - b) + 5/4*a*b^(3/2)*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))","A",0
1909,1,81,0,1.872762," ","integrate((a+b/x^2)^(5/2)*x,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{a + \frac{b}{x^{2}}} a^{2} x^{2} - \frac{5}{4} \, a^{\frac{3}{2}} b \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right) - \frac{1}{3} \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b - 2 \, \sqrt{a + \frac{b}{x^{2}}} a b"," ",0,"1/2*sqrt(a + b/x^2)*a^2*x^2 - 5/4*a^(3/2)*b*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a))) - 1/3*(a + b/x^2)^(3/2)*b - 2*sqrt(a + b/x^2)*a*b","A",0
1910,1,130,0,1.899634," ","integrate((a+b/x^2)^(5/2),x, algorithm=""maxima"")","\sqrt{a + \frac{b}{x^{2}}} a^{2} x + \frac{15}{16} \, a^{2} \sqrt{b} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right) - \frac{9 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{2} b x^{3} - 7 \, \sqrt{a + \frac{b}{x^{2}}} a^{2} b^{2} x}{8 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{2} x^{4} - 2 \, {\left(a + \frac{b}{x^{2}}\right)} b x^{2} + b^{2}\right)}}"," ",0,"sqrt(a + b/x^2)*a^2*x + 15/16*a^2*sqrt(b)*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b))) - 1/8*(9*(a + b/x^2)^(3/2)*a^2*b*x^3 - 7*sqrt(a + b/x^2)*a^2*b^2*x)/((a + b/x^2)^2*x^4 - 2*(a + b/x^2)*b*x^2 + b^2)","A",0
1911,1,75,0,1.831125," ","integrate((a+b/x^2)^(5/2)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, a^{\frac{5}{2}} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right) - \frac{1}{5} \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}} - \frac{1}{3} \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a - \sqrt{a + \frac{b}{x^{2}}} a^{2}"," ",0,"-1/2*a^(5/2)*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a))) - 1/5*(a + b/x^2)^(5/2) - 1/3*(a + b/x^2)^(3/2)*a - sqrt(a + b/x^2)*a^2","A",0
1912,1,152,0,1.993506," ","integrate((a+b/x^2)^(5/2)/x^2,x, algorithm=""maxima"")","\frac{5 \, a^{3} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)}{32 \, \sqrt{b}} - \frac{33 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}} a^{3} x^{5} - 40 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{3} b x^{3} + 15 \, \sqrt{a + \frac{b}{x^{2}}} a^{3} b^{2} x}{48 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{3} x^{6} - 3 \, {\left(a + \frac{b}{x^{2}}\right)}^{2} b x^{4} + 3 \, {\left(a + \frac{b}{x^{2}}\right)} b^{2} x^{2} - b^{3}\right)}}"," ",0,"5/32*a^3*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))/sqrt(b) - 1/48*(33*(a + b/x^2)^(5/2)*a^3*x^5 - 40*(a + b/x^2)^(3/2)*a^3*b*x^3 + 15*sqrt(a + b/x^2)*a^3*b^2*x)/((a + b/x^2)^3*x^6 - 3*(a + b/x^2)^2*b*x^4 + 3*(a + b/x^2)*b^2*x^2 - b^3)","B",0
1913,1,14,0,0.875485," ","integrate((a+b/x^2)^(5/2)/x^3,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{7}{2}}}{7 \, b}"," ",0,"-1/7*(a + b/x^2)^(7/2)/b","A",0
1914,1,190,0,1.970886," ","integrate((a+b/x^2)^(5/2)/x^4,x, algorithm=""maxima"")","-\frac{5 \, a^{4} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)}{256 \, b^{\frac{3}{2}}} - \frac{15 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{7}{2}} a^{4} x^{7} + 73 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}} a^{4} b x^{5} - 55 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{4} b^{2} x^{3} + 15 \, \sqrt{a + \frac{b}{x^{2}}} a^{4} b^{3} x}{384 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{4} b x^{8} - 4 \, {\left(a + \frac{b}{x^{2}}\right)}^{3} b^{2} x^{6} + 6 \, {\left(a + \frac{b}{x^{2}}\right)}^{2} b^{3} x^{4} - 4 \, {\left(a + \frac{b}{x^{2}}\right)} b^{4} x^{2} + b^{5}\right)}}"," ",0,"-5/256*a^4*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))/b^(3/2) - 1/384*(15*(a + b/x^2)^(7/2)*a^4*x^7 + 73*(a + b/x^2)^(5/2)*a^4*b*x^5 - 55*(a + b/x^2)^(3/2)*a^4*b^2*x^3 + 15*sqrt(a + b/x^2)*a^4*b^3*x)/((a + b/x^2)^4*b*x^8 - 4*(a + b/x^2)^3*b^2*x^6 + 6*(a + b/x^2)^2*b^3*x^4 - 4*(a + b/x^2)*b^4*x^2 + b^5)","B",0
1915,1,104,0,1.888170," ","integrate(x^3/(a+b/x^2)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right)}{16 \, a^{\frac{5}{2}}} - \frac{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b^{2} - 5 \, \sqrt{a + \frac{b}{x^{2}}} a b^{2}}{8 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{2} a^{2} - 2 \, {\left(a + \frac{b}{x^{2}}\right)} a^{3} + a^{4}\right)}}"," ",0,"-3/16*b^2*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a)))/a^(5/2) - 1/8*(3*(a + b/x^2)^(3/2)*b^2 - 5*sqrt(a + b/x^2)*a*b^2)/((a + b/x^2)^2*a^2 - 2*(a + b/x^2)*a^3 + a^4)","A",0
1916,1,68,0,1.980232," ","integrate(x/(a+b/x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{a + \frac{b}{x^{2}}} b}{2 \, {\left({\left(a + \frac{b}{x^{2}}\right)} a - a^{2}\right)}} + \frac{b \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right)}{4 \, a^{\frac{3}{2}}}"," ",0,"1/2*sqrt(a + b/x^2)*b/((a + b/x^2)*a - a^2) + 1/4*b*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a)))/a^(3/2)","A",0
1917,1,37,0,1.901192," ","integrate(1/(a+b/x^2)^(1/2)/x,x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right)}{2 \, \sqrt{a}}"," ",0,"-1/2*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a)))/sqrt(a)","B",0
1918,1,14,0,0.861550," ","integrate(1/(a+b/x^2)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{\sqrt{a + \frac{b}{x^{2}}}}{b}"," ",0,"-sqrt(a + b/x^2)/b","A",0
1919,1,29,0,0.867953," ","integrate(1/(a+b/x^2)^(1/2)/x^5,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}}}{3 \, b^{2}} + \frac{\sqrt{a + \frac{b}{x^{2}}} a}{b^{2}}"," ",0,"-1/3*(a + b/x^2)^(3/2)/b^2 + sqrt(a + b/x^2)*a/b^2","A",0
1920,1,47,0,0.874964," ","integrate(1/(a+b/x^2)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}}}{5 \, b^{3}} + \frac{2 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a}{3 \, b^{3}} - \frac{\sqrt{a + \frac{b}{x^{2}}} a^{2}}{b^{3}}"," ",0,"-1/5*(a + b/x^2)^(5/2)/b^3 + 2/3*(a + b/x^2)^(3/2)*a/b^3 - sqrt(a + b/x^2)*a^2/b^3","A",0
1921,1,63,0,0.903396," ","integrate(1/(a+b/x^2)^(1/2)/x^9,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{7}{2}}}{7 \, b^{4}} + \frac{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}} a}{5 \, b^{4}} - \frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{2}}{b^{4}} + \frac{\sqrt{a + \frac{b}{x^{2}}} a^{3}}{b^{4}}"," ",0,"-1/7*(a + b/x^2)^(7/2)/b^4 + 3/5*(a + b/x^2)^(5/2)*a/b^4 - (a + b/x^2)^(3/2)*a^2/b^4 + sqrt(a + b/x^2)*a^3/b^4","A",0
1922,1,50,0,0.790415," ","integrate(x^4/(a+b/x^2)^(1/2),x, algorithm=""maxima"")","\frac{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}} x^{5} - 10 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b x^{3} + 15 \, \sqrt{a + \frac{b}{x^{2}}} b^{2} x}{15 \, a^{3}}"," ",0,"1/15*(3*(a + b/x^2)^(5/2)*x^5 - 10*(a + b/x^2)^(3/2)*b*x^3 + 15*sqrt(a + b/x^2)*b^2*x)/a^3","A",0
1923,1,32,0,0.873776," ","integrate(x^2/(a+b/x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} x^{3} - 3 \, \sqrt{a + \frac{b}{x^{2}}} b x}{3 \, a^{2}}"," ",0,"1/3*((a + b/x^2)^(3/2)*x^3 - 3*sqrt(a + b/x^2)*b*x)/a^2","A",0
1924,1,14,0,0.861641," ","integrate(1/(a+b/x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{a + \frac{b}{x^{2}}} x}{a}"," ",0,"sqrt(a + b/x^2)*x/a","A",0
1925,1,41,0,1.836112," ","integrate(1/(a+b/x^2)^(1/2)/x^2,x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)}{2 \, \sqrt{b}}"," ",0,"1/2*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))/sqrt(b)","A",0
1926,1,76,0,1.991560," ","integrate(1/(a+b/x^2)^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{\sqrt{a + \frac{b}{x^{2}}} a x}{2 \, {\left({\left(a + \frac{b}{x^{2}}\right)} b x^{2} - b^{2}\right)}} - \frac{a \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)}{4 \, b^{\frac{3}{2}}}"," ",0,"-1/2*sqrt(a + b/x^2)*a*x/((a + b/x^2)*b*x^2 - b^2) - 1/4*a*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))/b^(3/2)","A",0
1927,1,21,0,1.984618," ","integrate(1/x/(-a+b/x^2)^(1/2),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{\sqrt{-a + \frac{b}{x^{2}}}}{\sqrt{a}}\right)}{\sqrt{a}}"," ",0,"-arctan(sqrt(-a + b/x^2)/sqrt(a))/sqrt(a)","A",0
1928,1,41,0,1.957073," ","integrate(1/x^2/(2+b/x^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{x \sqrt{\frac{b}{x^{2}} + 2} - \sqrt{b}}{x \sqrt{\frac{b}{x^{2}} + 2} + \sqrt{b}}\right)}{2 \, \sqrt{b}}"," ",0,"1/2*log((x*sqrt(b/x^2 + 2) - sqrt(b))/(x*sqrt(b/x^2 + 2) + sqrt(b)))/sqrt(b)","B",0
1929,1,20,0,1.969665," ","integrate(1/x^2/(2-b/x^2)^(1/2),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{x \sqrt{-\frac{b}{x^{2}} + 2}}{\sqrt{b}}\right)}{\sqrt{b}}"," ",0,"arctan(x*sqrt(-b/x^2 + 2)/sqrt(b))/sqrt(b)","A",0
1930,1,122,0,1.958736," ","integrate(x^3/(a+b/x^2)^(3/2),x, algorithm=""maxima"")","-\frac{15 \, {\left(a + \frac{b}{x^{2}}\right)}^{2} b^{2} - 25 \, {\left(a + \frac{b}{x^{2}}\right)} a b^{2} + 8 \, a^{2} b^{2}}{8 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}} a^{3} - 2 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{4} + \sqrt{a + \frac{b}{x^{2}}} a^{5}\right)}} - \frac{15 \, b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right)}{16 \, a^{\frac{7}{2}}}"," ",0,"-1/8*(15*(a + b/x^2)^2*b^2 - 25*(a + b/x^2)*a*b^2 + 8*a^2*b^2)/((a + b/x^2)^(5/2)*a^3 - 2*(a + b/x^2)^(3/2)*a^4 + sqrt(a + b/x^2)*a^5) - 15/16*b^2*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a)))/a^(7/2)","A",0
1931,1,86,0,1.815575," ","integrate(x/(a+b/x^2)^(3/2),x, algorithm=""maxima"")","\frac{3 \, {\left(a + \frac{b}{x^{2}}\right)} b - 2 \, a b}{2 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{2} - \sqrt{a + \frac{b}{x^{2}}} a^{3}\right)}} + \frac{3 \, b \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right)}{4 \, a^{\frac{5}{2}}}"," ",0,"1/2*(3*(a + b/x^2)*b - 2*a*b)/((a + b/x^2)^(3/2)*a^2 - sqrt(a + b/x^2)*a^3) + 3/4*b*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a)))/a^(5/2)","A",0
1932,1,52,0,1.976145," ","integrate(1/(a+b/x^2)^(3/2)/x,x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right)}{2 \, a^{\frac{3}{2}}} - \frac{1}{\sqrt{a + \frac{b}{x^{2}}} a}"," ",0,"-1/2*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a)))/a^(3/2) - 1/(sqrt(a + b/x^2)*a)","A",0
1933,1,13,0,0.875755," ","integrate(1/(a+b/x^2)^(3/2)/x^3,x, algorithm=""maxima"")","\frac{1}{\sqrt{a + \frac{b}{x^{2}}} b}"," ",0,"1/(sqrt(a + b/x^2)*b)","A",0
1934,1,30,0,0.885890," ","integrate(1/(a+b/x^2)^(3/2)/x^5,x, algorithm=""maxima"")","-\frac{\sqrt{a + \frac{b}{x^{2}}}}{b^{2}} - \frac{a}{\sqrt{a + \frac{b}{x^{2}}} b^{2}}"," ",0,"-sqrt(a + b/x^2)/b^2 - a/(sqrt(a + b/x^2)*b^2)","A",0
1935,1,46,0,0.882826," ","integrate(1/(a+b/x^2)^(3/2)/x^7,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}}}{3 \, b^{3}} + \frac{2 \, \sqrt{a + \frac{b}{x^{2}}} a}{b^{3}} + \frac{a^{2}}{\sqrt{a + \frac{b}{x^{2}}} b^{3}}"," ",0,"-1/3*(a + b/x^2)^(3/2)/b^3 + 2*sqrt(a + b/x^2)*a/b^3 + a^2/(sqrt(a + b/x^2)*b^3)","A",0
1936,1,63,0,0.871881," ","integrate(1/(a+b/x^2)^(3/2)/x^9,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}}}{5 \, b^{4}} + \frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a}{b^{4}} - \frac{3 \, \sqrt{a + \frac{b}{x^{2}}} a^{2}}{b^{4}} - \frac{a^{3}}{\sqrt{a + \frac{b}{x^{2}}} b^{4}}"," ",0,"-1/5*(a + b/x^2)^(5/2)/b^4 + (a + b/x^2)^(3/2)*a/b^4 - 3*sqrt(a + b/x^2)*a^2/b^4 - a^3/(sqrt(a + b/x^2)*b^4)","A",0
1937,1,69,0,0.865485," ","integrate(x^4/(a+b/x^2)^(3/2),x, algorithm=""maxima"")","\frac{b^{3}}{\sqrt{a + \frac{b}{x^{2}}} a^{4} x} + \frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}} x^{5} - 5 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b x^{3} + 15 \, \sqrt{a + \frac{b}{x^{2}}} b^{2} x}{5 \, a^{4}}"," ",0,"b^3/(sqrt(a + b/x^2)*a^4*x) + 1/5*((a + b/x^2)^(5/2)*x^5 - 5*(a + b/x^2)^(3/2)*b*x^3 + 15*sqrt(a + b/x^2)*b^2*x)/a^4","A",0
1938,1,53,0,0.823344," ","integrate(x^2/(a+b/x^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} x^{3} - 6 \, \sqrt{a + \frac{b}{x^{2}}} b x}{3 \, a^{3}} - \frac{b^{2}}{\sqrt{a + \frac{b}{x^{2}}} a^{3} x}"," ",0,"1/3*((a + b/x^2)^(3/2)*x^3 - 6*sqrt(a + b/x^2)*b*x)/a^3 - b^2/(sqrt(a + b/x^2)*a^3*x)","A",0
1939,1,32,0,0.893622," ","integrate(1/(a+b/x^2)^(3/2),x, algorithm=""maxima"")","\frac{\sqrt{a + \frac{b}{x^{2}}} x}{a^{2}} + \frac{b}{\sqrt{a + \frac{b}{x^{2}}} a^{2} x}"," ",0,"sqrt(a + b/x^2)*x/a^2 + b/(sqrt(a + b/x^2)*a^2*x)","A",0
1940,1,17,0,0.899057," ","integrate(1/(a+b/x^2)^(3/2)/x^2,x, algorithm=""maxima"")","-\frac{1}{\sqrt{a + \frac{b}{x^{2}}} a x}"," ",0,"-1/(sqrt(a + b/x^2)*a*x)","A",0
1941,1,58,0,1.790580," ","integrate(1/(a+b/x^2)^(3/2)/x^4,x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)}{2 \, b^{\frac{3}{2}}} + \frac{1}{\sqrt{a + \frac{b}{x^{2}}} b x}"," ",0,"1/2*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))/b^(3/2) + 1/(sqrt(a + b/x^2)*b*x)","A",0
1942,1,97,0,1.956558," ","integrate(1/(a+b/x^2)^(3/2)/x^6,x, algorithm=""maxima"")","-\frac{3 \, {\left(a + \frac{b}{x^{2}}\right)} a x^{2} - 2 \, a b}{2 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b^{2} x^{3} - \sqrt{a + \frac{b}{x^{2}}} b^{3} x\right)}} - \frac{3 \, a \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)}{4 \, b^{\frac{5}{2}}}"," ",0,"-1/2*(3*(a + b/x^2)*a*x^2 - 2*a*b)/((a + b/x^2)^(3/2)*b^2*x^3 - sqrt(a + b/x^2)*b^3*x) - 3/4*a*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))/b^(5/2)","A",0
1943,1,139,0,1.988728," ","integrate(1/(a+b/x^2)^(3/2)/x^8,x, algorithm=""maxima"")","\frac{15 \, {\left(a + \frac{b}{x^{2}}\right)}^{2} a^{2} x^{4} - 25 \, {\left(a + \frac{b}{x^{2}}\right)} a^{2} b x^{2} + 8 \, a^{2} b^{2}}{8 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}} b^{3} x^{5} - 2 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b^{4} x^{3} + \sqrt{a + \frac{b}{x^{2}}} b^{5} x\right)}} + \frac{15 \, a^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)}{16 \, b^{\frac{7}{2}}}"," ",0,"1/8*(15*(a + b/x^2)^2*a^2*x^4 - 25*(a + b/x^2)*a^2*b*x^2 + 8*a^2*b^2)/((a + b/x^2)^(5/2)*b^3*x^5 - 2*(a + b/x^2)^(3/2)*b^4*x^3 + sqrt(a + b/x^2)*b^5*x) + 15/16*a^2*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))/b^(7/2)","A",0
1944,1,139,0,1.899995," ","integrate(x^3/(a+b/x^2)^(5/2),x, algorithm=""maxima"")","-\frac{105 \, {\left(a + \frac{b}{x^{2}}\right)}^{3} b^{2} - 175 \, {\left(a + \frac{b}{x^{2}}\right)}^{2} a b^{2} + 56 \, {\left(a + \frac{b}{x^{2}}\right)} a^{2} b^{2} + 8 \, a^{3} b^{2}}{24 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{\frac{7}{2}} a^{4} - 2 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}} a^{5} + {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{6}\right)}} - \frac{35 \, b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right)}{16 \, a^{\frac{9}{2}}}"," ",0,"-1/24*(105*(a + b/x^2)^3*b^2 - 175*(a + b/x^2)^2*a*b^2 + 56*(a + b/x^2)*a^2*b^2 + 8*a^3*b^2)/((a + b/x^2)^(7/2)*a^4 - 2*(a + b/x^2)^(5/2)*a^5 + (a + b/x^2)^(3/2)*a^6) - 35/16*b^2*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a)))/a^(9/2)","A",0
1945,1,101,0,1.888948," ","integrate(x/(a+b/x^2)^(5/2),x, algorithm=""maxima"")","\frac{15 \, {\left(a + \frac{b}{x^{2}}\right)}^{2} b - 10 \, {\left(a + \frac{b}{x^{2}}\right)} a b - 2 \, a^{2} b}{6 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}} a^{3} - {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{4}\right)}} + \frac{5 \, b \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right)}{4 \, a^{\frac{7}{2}}}"," ",0,"1/6*(15*(a + b/x^2)^2*b - 10*(a + b/x^2)*a*b - 2*a^2*b)/((a + b/x^2)^(5/2)*a^3 - (a + b/x^2)^(3/2)*a^4) + 5/4*b*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a)))/a^(7/2)","A",0
1946,1,62,0,1.987171," ","integrate(1/(a+b/x^2)^(5/2)/x,x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{2}}} + \sqrt{a}}\right)}{2 \, a^{\frac{5}{2}}} - \frac{4 \, a + \frac{3 \, b}{x^{2}}}{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{2}}"," ",0,"-1/2*log((sqrt(a + b/x^2) - sqrt(a))/(sqrt(a + b/x^2) + sqrt(a)))/a^(5/2) - 1/3*(4*a + 3*b/x^2)/((a + b/x^2)^(3/2)*a^2)","A",0
1947,1,14,0,0.755399," ","integrate(1/(a+b/x^2)^(5/2)/x^3,x, algorithm=""maxima"")","\frac{1}{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b}"," ",0,"1/3/((a + b/x^2)^(3/2)*b)","A",0
1948,1,29,0,0.917677," ","integrate(1/(a+b/x^2)^(5/2)/x^5,x, algorithm=""maxima"")","\frac{1}{\sqrt{a + \frac{b}{x^{2}}} b^{2}} - \frac{a}{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b^{2}}"," ",0,"1/(sqrt(a + b/x^2)*b^2) - 1/3*a/((a + b/x^2)^(3/2)*b^2)","A",0
1949,1,47,0,0.922817," ","integrate(1/(a+b/x^2)^(5/2)/x^7,x, algorithm=""maxima"")","-\frac{\sqrt{a + \frac{b}{x^{2}}}}{b^{3}} - \frac{2 \, a}{\sqrt{a + \frac{b}{x^{2}}} b^{3}} + \frac{a^{2}}{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b^{3}}"," ",0,"-sqrt(a + b/x^2)/b^3 - 2*a/(sqrt(a + b/x^2)*b^3) + 1/3*a^2/((a + b/x^2)^(3/2)*b^3)","A",0
1950,1,64,0,0.888448," ","integrate(1/(a+b/x^2)^(5/2)/x^9,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}}}{3 \, b^{4}} + \frac{3 \, \sqrt{a + \frac{b}{x^{2}}} a}{b^{4}} + \frac{3 \, a^{2}}{\sqrt{a + \frac{b}{x^{2}}} b^{4}} - \frac{a^{3}}{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b^{4}}"," ",0,"-1/3*(a + b/x^2)^(3/2)/b^4 + 3*sqrt(a + b/x^2)*a/b^4 + 3*a^2/(sqrt(a + b/x^2)*b^4) - 1/3*a^3/((a + b/x^2)^(3/2)*b^4)","A",0
1951,1,71,0,0.912148," ","integrate(x^2/(a+b/x^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} x^{3} - 9 \, \sqrt{a + \frac{b}{x^{2}}} b x}{3 \, a^{4}} - \frac{9 \, {\left(a + \frac{b}{x^{2}}\right)} b^{2} x^{2} - b^{3}}{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{4} x^{3}}"," ",0,"1/3*((a + b/x^2)^(3/2)*x^3 - 9*sqrt(a + b/x^2)*b*x)/a^4 - 1/3*(9*(a + b/x^2)*b^2*x^2 - b^3)/((a + b/x^2)^(3/2)*a^4*x^3)","A",0
1952,1,51,0,0.814948," ","integrate(1/(a+b/x^2)^(5/2),x, algorithm=""maxima"")","\frac{\sqrt{a + \frac{b}{x^{2}}} x}{a^{3}} + \frac{6 \, {\left(a + \frac{b}{x^{2}}\right)} b x^{2} - b^{2}}{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{3} x^{3}}"," ",0,"sqrt(a + b/x^2)*x/a^3 + 1/3*(6*(a + b/x^2)*b*x^2 - b^2)/((a + b/x^2)^(3/2)*a^3*x^3)","A",0
1953,1,33,0,0.874332," ","integrate(1/(a+b/x^2)^(5/2)/x^2,x, algorithm=""maxima"")","-\frac{3 \, {\left(a + \frac{b}{x^{2}}\right)} x^{2} - b}{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a^{2} x^{3}}"," ",0,"-1/3*(3*(a + b/x^2)*x^2 - b)/((a + b/x^2)^(3/2)*a^2*x^3)","A",0
1954,1,17,0,0.923557," ","integrate(1/(a+b/x^2)^(5/2)/x^4,x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} a x^{3}}"," ",0,"-1/3/((a + b/x^2)^(3/2)*a*x^3)","A",0
1955,1,73,0,1.984187," ","integrate(1/(a+b/x^2)^(5/2)/x^6,x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)}{2 \, b^{\frac{5}{2}}} + \frac{3 \, {\left(a + \frac{b}{x^{2}}\right)} x^{2} + b}{3 \, {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b^{2} x^{3}}"," ",0,"1/2*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))/b^(5/2) + 1/3*(3*(a + b/x^2)*x^2 + b)/((a + b/x^2)^(3/2)*b^2*x^3)","A",0
1956,1,117,0,1.896203," ","integrate(1/(a+b/x^2)^(5/2)/x^8,x, algorithm=""maxima"")","-\frac{15 \, {\left(a + \frac{b}{x^{2}}\right)}^{2} a x^{4} - 10 \, {\left(a + \frac{b}{x^{2}}\right)} a b x^{2} - 2 \, a b^{2}}{6 \, {\left({\left(a + \frac{b}{x^{2}}\right)}^{\frac{5}{2}} b^{3} x^{5} - {\left(a + \frac{b}{x^{2}}\right)}^{\frac{3}{2}} b^{4} x^{3}\right)}} - \frac{5 \, a \log\left(\frac{\sqrt{a + \frac{b}{x^{2}}} x - \sqrt{b}}{\sqrt{a + \frac{b}{x^{2}}} x + \sqrt{b}}\right)}{4 \, b^{\frac{7}{2}}}"," ",0,"-1/6*(15*(a + b/x^2)^2*a*x^4 - 10*(a + b/x^2)*a*b*x^2 - 2*a*b^2)/((a + b/x^2)^(5/2)*b^3*x^5 - (a + b/x^2)^(3/2)*b^4*x^3) - 5/4*a*log((sqrt(a + b/x^2)*x - sqrt(b))/(sqrt(a + b/x^2)*x + sqrt(b)))/b^(7/2)","A",0
1957,1,9,0,0.833712," ","integrate((1+1/x^2)^(1/3)/x^3,x, algorithm=""maxima"")","-\frac{3}{8} \, {\left(\frac{1}{x^{2}} + 1\right)}^{\frac{4}{3}}"," ",0,"-3/8*(1/x^2 + 1)^(4/3)","A",0
1958,1,9,0,0.850313," ","integrate((1+1/x^2)^(5/3)/x^3,x, algorithm=""maxima"")","-\frac{3}{16} \, {\left(\frac{1}{x^{2}} + 1\right)}^{\frac{8}{3}}"," ",0,"-3/16*(1/x^2 + 1)^(8/3)","A",0
1959,0,0,0,0.000000," ","integrate((1+b/x^2)^(3/2)*(c*x)^m,x, algorithm=""maxima"")","\int \left(c x\right)^{m} {\left(\frac{b}{x^{2}} + 1\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*x)^m*(b/x^2 + 1)^(3/2), x)","F",0
1960,0,0,0,0.000000," ","integrate((1+b/x^2)^(1/2)*(c*x)^m,x, algorithm=""maxima"")","\int \left(c x\right)^{m} \sqrt{\frac{b}{x^{2}} + 1}\,{d x}"," ",0,"integrate((c*x)^m*sqrt(b/x^2 + 1), x)","F",0
1961,0,0,0,0.000000," ","integrate((c*x)^m/(1+b/x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{m}}{\sqrt{\frac{b}{x^{2}} + 1}}\,{d x}"," ",0,"integrate((c*x)^m/sqrt(b/x^2 + 1), x)","F",0
1962,0,0,0,0.000000," ","integrate((c*x)^m/(1+b/x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{m}}{{\left(\frac{b}{x^{2}} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x)^m/(b/x^2 + 1)^(3/2), x)","F",0
1963,0,0,0,0.000000," ","integrate((1+b/x^2)^p*(c*x)^m,x, algorithm=""maxima"")","\int \left(c x\right)^{m} {\left(\frac{b}{x^{2}} + 1\right)}^{p}\,{d x}"," ",0,"integrate((c*x)^m*(b/x^2 + 1)^p, x)","F",0
1964,0,0,0,0.000000," ","integrate((a+b/x^2)^p*(c*x)^m,x, algorithm=""maxima"")","\int \left(c x\right)^{m} {\left(a + \frac{b}{x^{2}}\right)}^{p}\,{d x}"," ",0,"integrate((c*x)^m*(a + b/x^2)^p, x)","F",0
1965,1,34,0,0.877246," ","integrate(x^5/(a+b/x^3),x, algorithm=""maxima"")","\frac{b^{2} \log\left(a x^{3} + b\right)}{3 \, a^{3}} + \frac{a x^{6} - 2 \, b x^{3}}{6 \, a^{2}}"," ",0,"1/3*b^2*log(a*x^3 + b)/a^3 + 1/6*(a*x^6 - 2*b*x^3)/a^2","A",0
1966,1,125,0,1.986902," ","integrate(x^4/(a+b/x^3),x, algorithm=""maxima"")","\frac{\sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{3 \, a^{3} \left(\frac{b}{a}\right)^{\frac{1}{3}}} + \frac{b^{2} \log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \, a^{3} \left(\frac{b}{a}\right)^{\frac{1}{3}}} - \frac{b^{2} \log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \, a^{3} \left(\frac{b}{a}\right)^{\frac{1}{3}}} + \frac{2 \, a x^{5} - 5 \, b x^{2}}{10 \, a^{2}}"," ",0,"1/3*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a^3*(b/a)^(1/3)) + 1/6*b^2*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a^3*(b/a)^(1/3)) - 1/3*b^2*log(x + (b/a)^(1/3))/(a^3*(b/a)^(1/3)) + 1/10*(2*a*x^5 - 5*b*x^2)/a^2","A",0
1967,1,122,0,1.933751," ","integrate(x^3/(a+b/x^3),x, algorithm=""maxima"")","\frac{\sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{3 \, a^{3} \left(\frac{b}{a}\right)^{\frac{2}{3}}} - \frac{b^{2} \log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \, a^{3} \left(\frac{b}{a}\right)^{\frac{2}{3}}} + \frac{b^{2} \log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \, a^{3} \left(\frac{b}{a}\right)^{\frac{2}{3}}} + \frac{a x^{4} - 4 \, b x}{4 \, a^{2}}"," ",0,"1/3*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a^3*(b/a)^(2/3)) - 1/6*b^2*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a^3*(b/a)^(2/3)) + 1/3*b^2*log(x + (b/a)^(1/3))/(a^3*(b/a)^(2/3)) + 1/4*(a*x^4 - 4*b*x)/a^2","A",0
1968,1,23,0,0.855885," ","integrate(x^2/(a+b/x^3),x, algorithm=""maxima"")","\frac{x^{3}}{3 \, a} - \frac{b \log\left(a x^{3} + b\right)}{3 \, a^{2}}"," ",0,"1/3*x^3/a - 1/3*b*log(a*x^3 + b)/a^2","A",0
1969,1,109,0,1.921686," ","integrate(x/(a+b/x^3),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, a} - \frac{\sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{3 \, a^{2} \left(\frac{b}{a}\right)^{\frac{1}{3}}} - \frac{b \log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \, a^{2} \left(\frac{b}{a}\right)^{\frac{1}{3}}} + \frac{b \log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \, a^{2} \left(\frac{b}{a}\right)^{\frac{1}{3}}}"," ",0,"1/2*x^2/a - 1/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a^2*(b/a)^(1/3)) - 1/6*b*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a^2*(b/a)^(1/3)) + 1/3*b*log(x + (b/a)^(1/3))/(a^2*(b/a)^(1/3))","A",0
1970,1,106,0,1.808208," ","integrate(1/(a+b/x^3),x, algorithm=""maxima"")","\frac{x}{a} - \frac{\sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{3 \, a^{2} \left(\frac{b}{a}\right)^{\frac{2}{3}}} + \frac{b \log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \, a^{2} \left(\frac{b}{a}\right)^{\frac{2}{3}}} - \frac{b \log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \, a^{2} \left(\frac{b}{a}\right)^{\frac{2}{3}}}"," ",0,"x/a - 1/3*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a^2*(b/a)^(2/3)) + 1/6*b*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a^2*(b/a)^(2/3)) - 1/3*b*log(x + (b/a)^(1/3))/(a^2*(b/a)^(2/3))","A",0
1971,1,13,0,0.890900," ","integrate(1/(a+b/x^3)/x,x, algorithm=""maxima"")","\frac{\log\left(a x^{3} + b\right)}{3 \, a}"," ",0,"1/3*log(a*x^3 + b)/a","A",0
1972,1,98,0,1.898121," ","integrate(1/(a+b/x^3)/x^2,x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{3 \, a \left(\frac{b}{a}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \, a \left(\frac{b}{a}\right)^{\frac{1}{3}}} - \frac{\log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \, a \left(\frac{b}{a}\right)^{\frac{1}{3}}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a*(b/a)^(1/3)) + 1/6*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a*(b/a)^(1/3)) - 1/3*log(x + (b/a)^(1/3))/(a*(b/a)^(1/3))","A",0
1973,1,98,0,1.981538," ","integrate(1/(a+b/x^3)/x^3,x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{3 \, a \left(\frac{b}{a}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \, a \left(\frac{b}{a}\right)^{\frac{2}{3}}} + \frac{\log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \, a \left(\frac{b}{a}\right)^{\frac{2}{3}}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a*(b/a)^(2/3)) - 1/6*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a*(b/a)^(2/3)) + 1/3*log(x + (b/a)^(1/3))/(a*(b/a)^(2/3))","A",0
1974,1,13,0,0.886057," ","integrate(1/(a+b/x^3)/x^4,x, algorithm=""maxima"")","-\frac{\log\left(a + \frac{b}{x^{3}}\right)}{3 \, b}"," ",0,"-1/3*log(a + b/x^3)/b","A",0
1975,1,106,0,1.946698," ","integrate(1/(a+b/x^3)/x^5,x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{3 \, b \left(\frac{b}{a}\right)^{\frac{1}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \, b \left(\frac{b}{a}\right)^{\frac{1}{3}}} + \frac{\log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \, b \left(\frac{b}{a}\right)^{\frac{1}{3}}} - \frac{1}{b x}"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(b*(b/a)^(1/3)) - 1/6*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(b*(b/a)^(1/3)) + 1/3*log(x + (b/a)^(1/3))/(b*(b/a)^(1/3)) - 1/(b*x)","A",0
1976,1,106,0,1.994329," ","integrate(1/(a+b/x^3)/x^6,x, algorithm=""maxima"")","-\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{3 \, b \left(\frac{b}{a}\right)^{\frac{2}{3}}} + \frac{\log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{6 \, b \left(\frac{b}{a}\right)^{\frac{2}{3}}} - \frac{\log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{3 \, b \left(\frac{b}{a}\right)^{\frac{2}{3}}} - \frac{1}{2 \, b x^{2}}"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(b*(b/a)^(2/3)) + 1/6*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(b*(b/a)^(2/3)) - 1/3*log(x + (b/a)^(1/3))/(b*(b/a)^(2/3)) - 1/2/(b*x^2)","A",0
1977,1,33,0,0.822324," ","integrate(1/(a+b/x^3)/x^7,x, algorithm=""maxima"")","\frac{a \log\left(a x^{3} + b\right)}{3 \, b^{2}} - \frac{a \log\left(x^{3}\right)}{3 \, b^{2}} - \frac{1}{3 \, b x^{3}}"," ",0,"1/3*a*log(a*x^3 + b)/b^2 - 1/3*a*log(x^3)/b^2 - 1/3/(b*x^3)","A",0
1978,1,53,0,0.848036," ","integrate(x^5/(a+b/x^3)^2,x, algorithm=""maxima"")","\frac{b^{3}}{3 \, {\left(a^{5} x^{3} + a^{4} b\right)}} + \frac{b^{2} \log\left(a x^{3} + b\right)}{a^{4}} + \frac{a x^{6} - 4 \, b x^{3}}{6 \, a^{3}}"," ",0,"1/3*b^3/(a^5*x^3 + a^4*b) + b^2*log(a*x^3 + b)/a^4 + 1/6*(a*x^6 - 4*b*x^3)/a^3","A",0
1979,1,147,0,1.804058," ","integrate(x^4/(a+b/x^3)^2,x, algorithm=""maxima"")","-\frac{b^{2} x^{2}}{3 \, {\left(a^{4} x^{3} + a^{3} b\right)}} + \frac{8 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{9 \, a^{4} \left(\frac{b}{a}\right)^{\frac{1}{3}}} + \frac{4 \, b^{2} \log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{9 \, a^{4} \left(\frac{b}{a}\right)^{\frac{1}{3}}} - \frac{8 \, b^{2} \log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \, a^{4} \left(\frac{b}{a}\right)^{\frac{1}{3}}} + \frac{a x^{5} - 5 \, b x^{2}}{5 \, a^{3}}"," ",0,"-1/3*b^2*x^2/(a^4*x^3 + a^3*b) + 8/9*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a^4*(b/a)^(1/3)) + 4/9*b^2*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a^4*(b/a)^(1/3)) - 8/9*b^2*log(x + (b/a)^(1/3))/(a^4*(b/a)^(1/3)) + 1/5*(a*x^5 - 5*b*x^2)/a^3","A",0
1980,1,143,0,2.006590," ","integrate(x^3/(a+b/x^3)^2,x, algorithm=""maxima"")","-\frac{b^{2} x}{3 \, {\left(a^{4} x^{3} + a^{3} b\right)}} + \frac{7 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{9 \, a^{4} \left(\frac{b}{a}\right)^{\frac{2}{3}}} - \frac{7 \, b^{2} \log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{18 \, a^{4} \left(\frac{b}{a}\right)^{\frac{2}{3}}} + \frac{7 \, b^{2} \log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \, a^{4} \left(\frac{b}{a}\right)^{\frac{2}{3}}} + \frac{a x^{4} - 8 \, b x}{4 \, a^{3}}"," ",0,"-1/3*b^2*x/(a^4*x^3 + a^3*b) + 7/9*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a^4*(b/a)^(2/3)) - 7/18*b^2*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a^4*(b/a)^(2/3)) + 7/9*b^2*log(x + (b/a)^(1/3))/(a^4*(b/a)^(2/3)) + 1/4*(a*x^4 - 8*b*x)/a^3","A",0
1981,1,43,0,0.899979," ","integrate(x^2/(a+b/x^3)^2,x, algorithm=""maxima"")","-\frac{b^{2}}{3 \, {\left(a^{4} x^{3} + a^{3} b\right)}} + \frac{x^{3}}{3 \, a^{2}} - \frac{2 \, b \log\left(a x^{3} + b\right)}{3 \, a^{3}}"," ",0,"-1/3*b^2/(a^4*x^3 + a^3*b) + 1/3*x^3/a^2 - 2/3*b*log(a*x^3 + b)/a^3","A",0
1982,1,130,0,1.966385," ","integrate(x/(a+b/x^3)^2,x, algorithm=""maxima"")","\frac{b x^{2}}{3 \, {\left(a^{3} x^{3} + a^{2} b\right)}} + \frac{x^{2}}{2 \, a^{2}} - \frac{5 \, \sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{9 \, a^{3} \left(\frac{b}{a}\right)^{\frac{1}{3}}} - \frac{5 \, b \log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{18 \, a^{3} \left(\frac{b}{a}\right)^{\frac{1}{3}}} + \frac{5 \, b \log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \, a^{3} \left(\frac{b}{a}\right)^{\frac{1}{3}}}"," ",0,"1/3*b*x^2/(a^3*x^3 + a^2*b) + 1/2*x^2/a^2 - 5/9*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a^3*(b/a)^(1/3)) - 5/18*b*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a^3*(b/a)^(1/3)) + 5/9*b*log(x + (b/a)^(1/3))/(a^3*(b/a)^(1/3))","A",0
1983,1,125,0,1.975464," ","integrate(1/(a+b/x^3)^2,x, algorithm=""maxima"")","\frac{b x}{3 \, {\left(a^{3} x^{3} + a^{2} b\right)}} + \frac{x}{a^{2}} - \frac{4 \, \sqrt{3} b \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{9 \, a^{3} \left(\frac{b}{a}\right)^{\frac{2}{3}}} + \frac{2 \, b \log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{9 \, a^{3} \left(\frac{b}{a}\right)^{\frac{2}{3}}} - \frac{4 \, b \log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \, a^{3} \left(\frac{b}{a}\right)^{\frac{2}{3}}}"," ",0,"1/3*b*x/(a^3*x^3 + a^2*b) + x/a^2 - 4/9*sqrt(3)*b*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a^3*(b/a)^(2/3)) + 2/9*b*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a^3*(b/a)^(2/3)) - 4/9*b*log(x + (b/a)^(1/3))/(a^3*(b/a)^(2/3))","A",0
1984,1,32,0,0.890443," ","integrate(1/(a+b/x^3)^2/x,x, algorithm=""maxima"")","\frac{b}{3 \, {\left(a^{3} x^{3} + a^{2} b\right)}} + \frac{\log\left(a x^{3} + b\right)}{3 \, a^{2}}"," ",0,"1/3*b/(a^3*x^3 + a^2*b) + 1/3*log(a*x^3 + b)/a^2","A",0
1985,1,116,0,1.978369," ","integrate(1/(a+b/x^3)^2/x^2,x, algorithm=""maxima"")","-\frac{x^{2}}{3 \, {\left(a^{2} x^{3} + a b\right)}} + \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{9 \, a^{2} \left(\frac{b}{a}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{9 \, a^{2} \left(\frac{b}{a}\right)^{\frac{1}{3}}} - \frac{2 \, \log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \, a^{2} \left(\frac{b}{a}\right)^{\frac{1}{3}}}"," ",0,"-1/3*x^2/(a^2*x^3 + a*b) + 2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a^2*(b/a)^(1/3)) + 1/9*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a^2*(b/a)^(1/3)) - 2/9*log(x + (b/a)^(1/3))/(a^2*(b/a)^(1/3))","A",0
1986,1,114,0,1.976693," ","integrate(1/(a+b/x^3)^2/x^3,x, algorithm=""maxima"")","-\frac{x}{3 \, {\left(a^{2} x^{3} + a b\right)}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{9 \, a^{2} \left(\frac{b}{a}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{18 \, a^{2} \left(\frac{b}{a}\right)^{\frac{2}{3}}} + \frac{\log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \, a^{2} \left(\frac{b}{a}\right)^{\frac{2}{3}}}"," ",0,"-1/3*x/(a^2*x^3 + a*b) + 1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a^2*(b/a)^(2/3)) - 1/18*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a^2*(b/a)^(2/3)) + 1/9*log(x + (b/a)^(1/3))/(a^2*(b/a)^(2/3))","A",0
1987,1,14,0,0.852006," ","integrate(1/(a+b/x^3)^2/x^4,x, algorithm=""maxima"")","\frac{1}{3 \, {\left(a + \frac{b}{x^{3}}\right)} b}"," ",0,"1/3/((a + b/x^3)*b)","A",0
1988,1,124,0,1.855790," ","integrate(1/(a+b/x^3)^2/x^5,x, algorithm=""maxima"")","\frac{x^{2}}{3 \, {\left(a b x^{3} + b^{2}\right)}} + \frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{9 \, a b \left(\frac{b}{a}\right)^{\frac{1}{3}}} + \frac{\log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{18 \, a b \left(\frac{b}{a}\right)^{\frac{1}{3}}} - \frac{\log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \, a b \left(\frac{b}{a}\right)^{\frac{1}{3}}}"," ",0,"1/3*x^2/(a*b*x^3 + b^2) + 1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a*b*(b/a)^(1/3)) + 1/18*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a*b*(b/a)^(1/3)) - 1/9*log(x + (b/a)^(1/3))/(a*b*(b/a)^(1/3))","A",0
1989,1,122,0,1.891240," ","integrate(1/(a+b/x^3)^2/x^6,x, algorithm=""maxima"")","\frac{x}{3 \, {\left(a b x^{3} + b^{2}\right)}} + \frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{b}{a}\right)^{\frac{1}{3}}}\right)}{9 \, a b \left(\frac{b}{a}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{b}{a}\right)^{\frac{1}{3}} + \left(\frac{b}{a}\right)^{\frac{2}{3}}\right)}{9 \, a b \left(\frac{b}{a}\right)^{\frac{2}{3}}} + \frac{2 \, \log\left(x + \left(\frac{b}{a}\right)^{\frac{1}{3}}\right)}{9 \, a b \left(\frac{b}{a}\right)^{\frac{2}{3}}}"," ",0,"1/3*x/(a*b*x^3 + b^2) + 2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (b/a)^(1/3))/(b/a)^(1/3))/(a*b*(b/a)^(2/3)) - 1/9*log(x^2 - x*(b/a)^(1/3) + (b/a)^(2/3))/(a*b*(b/a)^(2/3)) + 2/9*log(x + (b/a)^(1/3))/(a*b*(b/a)^(2/3))","A",0
1990,1,37,0,0.886970," ","integrate(1/(a+b/x^3)^2/x^7,x, algorithm=""maxima"")","\frac{1}{3 \, {\left(a b x^{3} + b^{2}\right)}} - \frac{\log\left(a x^{3} + b\right)}{3 \, b^{2}} + \frac{\log\left(x^{3}\right)}{3 \, b^{2}}"," ",0,"1/3/(a*b*x^3 + b^2) - 1/3*log(a*x^3 + b)/b^2 + 1/3*log(x^3)/b^2","A",0
1991,1,100,0,1.913122," ","integrate(x^5*(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\frac{b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{3}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{3}}} + \sqrt{a}}\right)}{24 \, a^{\frac{3}{2}}} + \frac{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} b^{2} + \sqrt{a + \frac{b}{x^{3}}} a b^{2}}{12 \, {\left({\left(a + \frac{b}{x^{3}}\right)}^{2} a - 2 \, {\left(a + \frac{b}{x^{3}}\right)} a^{2} + a^{3}\right)}}"," ",0,"1/24*b^2*log((sqrt(a + b/x^3) - sqrt(a))/(sqrt(a + b/x^3) + sqrt(a)))/a^(3/2) + 1/12*((a + b/x^3)^(3/2)*b^2 + sqrt(a + b/x^3)*a*b^2)/((a + b/x^3)^2*a - 2*(a + b/x^3)*a^2 + a^3)","A",0
1992,1,53,0,1.922350," ","integrate(x^2*(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{a + \frac{b}{x^{3}}} x^{3} - \frac{b \log\left(\frac{\sqrt{a + \frac{b}{x^{3}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{3}}} + \sqrt{a}}\right)}{6 \, \sqrt{a}}"," ",0,"1/3*sqrt(a + b/x^3)*x^3 - 1/6*b*log((sqrt(a + b/x^3) - sqrt(a))/(sqrt(a + b/x^3) + sqrt(a)))/sqrt(a)","A",0
1993,1,49,0,1.860511," ","integrate((a+b/x^3)^(1/2)/x,x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{a} \log\left(\frac{\sqrt{a + \frac{b}{x^{3}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{3}}} + \sqrt{a}}\right) - \frac{2}{3} \, \sqrt{a + \frac{b}{x^{3}}}"," ",0,"-1/3*sqrt(a)*log((sqrt(a + b/x^3) - sqrt(a))/(sqrt(a + b/x^3) + sqrt(a))) - 2/3*sqrt(a + b/x^3)","A",0
1994,1,14,0,0.786721," ","integrate((a+b/x^3)^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}}}{9 \, b}"," ",0,"-2/9*(a + b/x^3)^(3/2)/b","A",0
1995,1,30,0,0.918702," ","integrate((a+b/x^3)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{5}{2}}}{15 \, b^{2}} + \frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} a}{9 \, b^{2}}"," ",0,"-2/15*(a + b/x^3)^(5/2)/b^2 + 2/9*(a + b/x^3)^(3/2)*a/b^2","A",0
1996,1,47,0,0.891858," ","integrate((a+b/x^3)^(1/2)/x^10,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{7}{2}}}{21 \, b^{3}} + \frac{4 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{5}{2}} a}{15 \, b^{3}} - \frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} a^{2}}{9 \, b^{3}}"," ",0,"-2/21*(a + b/x^3)^(7/2)/b^3 + 4/15*(a + b/x^3)^(5/2)*a/b^3 - 2/9*(a + b/x^3)^(3/2)*a^2/b^3","A",0
1997,1,64,0,0.814293," ","integrate((a+b/x^3)^(1/2)/x^13,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{9}{2}}}{27 \, b^{4}} + \frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{7}{2}} a}{7 \, b^{4}} - \frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{5}{2}} a^{2}}{5 \, b^{4}} + \frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} a^{3}}{9 \, b^{4}}"," ",0,"-2/27*(a + b/x^3)^(9/2)/b^4 + 2/7*(a + b/x^3)^(7/2)*a/b^4 - 2/5*(a + b/x^3)^(5/2)*a^2/b^4 + 2/9*(a + b/x^3)^(3/2)*a^3/b^4","A",0
1998,0,0,0,0.000000," ","integrate(x^7*(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \sqrt{a + \frac{b}{x^{3}}} x^{7}\,{d x}"," ",0,"integrate(sqrt(a + b/x^3)*x^7, x)","F",0
1999,0,0,0,0.000000," ","integrate(x^4*(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \sqrt{a + \frac{b}{x^{3}}} x^{4}\,{d x}"," ",0,"integrate(sqrt(a + b/x^3)*x^4, x)","F",0
2000,0,0,0,0.000000," ","integrate(x*(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \sqrt{a + \frac{b}{x^{3}}} x\,{d x}"," ",0,"integrate(sqrt(a + b/x^3)*x, x)","F",0
2001,0,0,0,0.000000," ","integrate((a+b/x^3)^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{a + \frac{b}{x^{3}}}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(a + b/x^3)/x^2, x)","F",0
2002,0,0,0,0.000000," ","integrate((a+b/x^3)^(1/2)/x^5,x, algorithm=""maxima"")","\int \frac{\sqrt{a + \frac{b}{x^{3}}}}{x^{5}}\,{d x}"," ",0,"integrate(sqrt(a + b/x^3)/x^5, x)","F",0
2003,0,0,0,0.000000," ","integrate((a+b/x^3)^(1/2)/x^8,x, algorithm=""maxima"")","\int \frac{\sqrt{a + \frac{b}{x^{3}}}}{x^{8}}\,{d x}"," ",0,"integrate(sqrt(a + b/x^3)/x^8, x)","F",0
2004,0,0,0,0.000000," ","integrate(x^6*(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \sqrt{a + \frac{b}{x^{3}}} x^{6}\,{d x}"," ",0,"integrate(sqrt(a + b/x^3)*x^6, x)","F",0
2005,0,0,0,0.000000," ","integrate(x^3*(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \sqrt{a + \frac{b}{x^{3}}} x^{3}\,{d x}"," ",0,"integrate(sqrt(a + b/x^3)*x^3, x)","F",0
2006,0,0,0,0.000000," ","integrate((a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \sqrt{a + \frac{b}{x^{3}}}\,{d x}"," ",0,"integrate(sqrt(a + b/x^3), x)","F",0
2007,0,0,0,0.000000," ","integrate((a+b/x^3)^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{a + \frac{b}{x^{3}}}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(a + b/x^3)/x^3, x)","F",0
2008,0,0,0,0.000000," ","integrate((a+b/x^3)^(1/2)/x^6,x, algorithm=""maxima"")","\int \frac{\sqrt{a + \frac{b}{x^{3}}}}{x^{6}}\,{d x}"," ",0,"integrate(sqrt(a + b/x^3)/x^6, x)","F",0
2009,0,0,0,0.000000," ","integrate((a+b/x^3)^(1/2)/x^9,x, algorithm=""maxima"")","\int \frac{\sqrt{a + \frac{b}{x^{3}}}}{x^{9}}\,{d x}"," ",0,"integrate(sqrt(a + b/x^3)/x^9, x)","F",0
2010,1,98,0,1.857785," ","integrate((a+b/x^3)^(3/2)*x^5,x, algorithm=""maxima"")","-\frac{b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{3}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{3}}} + \sqrt{a}}\right)}{8 \, \sqrt{a}} + \frac{5 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} b^{2} - 3 \, \sqrt{a + \frac{b}{x^{3}}} a b^{2}}{12 \, {\left({\left(a + \frac{b}{x^{3}}\right)}^{2} - 2 \, {\left(a + \frac{b}{x^{3}}\right)} a + a^{2}\right)}}"," ",0,"-1/8*b^2*log((sqrt(a + b/x^3) - sqrt(a))/(sqrt(a + b/x^3) + sqrt(a)))/sqrt(a) + 1/12*(5*(a + b/x^3)^(3/2)*b^2 - 3*sqrt(a + b/x^3)*a*b^2)/((a + b/x^3)^2 - 2*(a + b/x^3)*a + a^2)","A",0
2011,1,66,0,1.958573," ","integrate((a+b/x^3)^(3/2)*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{a + \frac{b}{x^{3}}} a x^{3} - \frac{1}{2} \, \sqrt{a} b \log\left(\frac{\sqrt{a + \frac{b}{x^{3}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{3}}} + \sqrt{a}}\right) - \frac{2}{3} \, \sqrt{a + \frac{b}{x^{3}}} b"," ",0,"1/3*sqrt(a + b/x^3)*a*x^3 - 1/2*sqrt(a)*b*log((sqrt(a + b/x^3) - sqrt(a))/(sqrt(a + b/x^3) + sqrt(a))) - 2/3*sqrt(a + b/x^3)*b","A",0
2012,1,61,0,1.965517," ","integrate((a+b/x^3)^(3/2)/x,x, algorithm=""maxima"")","-\frac{1}{3} \, a^{\frac{3}{2}} \log\left(\frac{\sqrt{a + \frac{b}{x^{3}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{3}}} + \sqrt{a}}\right) - \frac{2}{9} \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} - \frac{2}{3} \, \sqrt{a + \frac{b}{x^{3}}} a"," ",0,"-1/3*a^(3/2)*log((sqrt(a + b/x^3) - sqrt(a))/(sqrt(a + b/x^3) + sqrt(a))) - 2/9*(a + b/x^3)^(3/2) - 2/3*sqrt(a + b/x^3)*a","A",0
2013,1,14,0,0.847199," ","integrate((a+b/x^3)^(3/2)/x^4,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{5}{2}}}{15 \, b}"," ",0,"-2/15*(a + b/x^3)^(5/2)/b","A",0
2014,1,30,0,0.865394," ","integrate((a+b/x^3)^(3/2)/x^7,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{7}{2}}}{21 \, b^{2}} + \frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{5}{2}} a}{15 \, b^{2}}"," ",0,"-2/21*(a + b/x^3)^(7/2)/b^2 + 2/15*(a + b/x^3)^(5/2)*a/b^2","A",0
2015,1,47,0,0.820570," ","integrate((a+b/x^3)^(3/2)/x^10,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{9}{2}}}{27 \, b^{3}} + \frac{4 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{7}{2}} a}{21 \, b^{3}} - \frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{5}{2}} a^{2}}{15 \, b^{3}}"," ",0,"-2/27*(a + b/x^3)^(9/2)/b^3 + 4/21*(a + b/x^3)^(7/2)*a/b^3 - 2/15*(a + b/x^3)^(5/2)*a^2/b^3","A",0
2016,1,64,0,0.822835," ","integrate((a+b/x^3)^(3/2)/x^13,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{11}{2}}}{33 \, b^{4}} + \frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{9}{2}} a}{9 \, b^{4}} - \frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{7}{2}} a^{2}}{7 \, b^{4}} + \frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{5}{2}} a^{3}}{15 \, b^{4}}"," ",0,"-2/33*(a + b/x^3)^(11/2)/b^4 + 2/9*(a + b/x^3)^(9/2)*a/b^4 - 2/7*(a + b/x^3)^(7/2)*a^2/b^4 + 2/15*(a + b/x^3)^(5/2)*a^3/b^4","A",0
2017,1,104,0,2.005786," ","integrate(x^5/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","-\frac{b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{3}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{3}}} + \sqrt{a}}\right)}{8 \, a^{\frac{5}{2}}} - \frac{3 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} b^{2} - 5 \, \sqrt{a + \frac{b}{x^{3}}} a b^{2}}{12 \, {\left({\left(a + \frac{b}{x^{3}}\right)}^{2} a^{2} - 2 \, {\left(a + \frac{b}{x^{3}}\right)} a^{3} + a^{4}\right)}}"," ",0,"-1/8*b^2*log((sqrt(a + b/x^3) - sqrt(a))/(sqrt(a + b/x^3) + sqrt(a)))/a^(5/2) - 1/12*(3*(a + b/x^3)^(3/2)*b^2 - 5*sqrt(a + b/x^3)*a*b^2)/((a + b/x^3)^2*a^2 - 2*(a + b/x^3)*a^3 + a^4)","A",0
2018,1,68,0,1.933632," ","integrate(x^2/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{a + \frac{b}{x^{3}}} b}{3 \, {\left({\left(a + \frac{b}{x^{3}}\right)} a - a^{2}\right)}} + \frac{b \log\left(\frac{\sqrt{a + \frac{b}{x^{3}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{3}}} + \sqrt{a}}\right)}{6 \, a^{\frac{3}{2}}}"," ",0,"1/3*sqrt(a + b/x^3)*b/((a + b/x^3)*a - a^2) + 1/6*b*log((sqrt(a + b/x^3) - sqrt(a))/(sqrt(a + b/x^3) + sqrt(a)))/a^(3/2)","A",0
2019,1,37,0,1.910632," ","integrate(1/x/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sqrt{a + \frac{b}{x^{3}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{3}}} + \sqrt{a}}\right)}{3 \, \sqrt{a}}"," ",0,"-1/3*log((sqrt(a + b/x^3) - sqrt(a))/(sqrt(a + b/x^3) + sqrt(a)))/sqrt(a)","A",0
2020,1,14,0,0.790433," ","integrate(1/x^4/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{a + \frac{b}{x^{3}}}}{3 \, b}"," ",0,"-2/3*sqrt(a + b/x^3)/b","A",0
2021,1,30,0,0.838393," ","integrate(1/x^7/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}}}{9 \, b^{2}} + \frac{2 \, \sqrt{a + \frac{b}{x^{3}}} a}{3 \, b^{2}}"," ",0,"-2/9*(a + b/x^3)^(3/2)/b^2 + 2/3*sqrt(a + b/x^3)*a/b^2","A",0
2022,1,47,0,0.884965," ","integrate(1/x^10/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{5}{2}}}{15 \, b^{3}} + \frac{4 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} a}{9 \, b^{3}} - \frac{2 \, \sqrt{a + \frac{b}{x^{3}}} a^{2}}{3 \, b^{3}}"," ",0,"-2/15*(a + b/x^3)^(5/2)/b^3 + 4/9*(a + b/x^3)^(3/2)*a/b^3 - 2/3*sqrt(a + b/x^3)*a^2/b^3","A",0
2023,1,64,0,0.818669," ","integrate(1/x^13/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{7}{2}}}{21 \, b^{4}} + \frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{5}{2}} a}{5 \, b^{4}} - \frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} a^{2}}{3 \, b^{4}} + \frac{2 \, \sqrt{a + \frac{b}{x^{3}}} a^{3}}{3 \, b^{4}}"," ",0,"-2/21*(a + b/x^3)^(7/2)/b^4 + 2/5*(a + b/x^3)^(5/2)*a/b^4 - 2/3*(a + b/x^3)^(3/2)*a^2/b^4 + 2/3*sqrt(a + b/x^3)*a^3/b^4","A",0
2024,0,0,0,0.000000," ","integrate(x^7/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{7}}{\sqrt{a + \frac{b}{x^{3}}}}\,{d x}"," ",0,"integrate(x^7/sqrt(a + b/x^3), x)","F",0
2025,0,0,0,0.000000," ","integrate(x^4/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{a + \frac{b}{x^{3}}}}\,{d x}"," ",0,"integrate(x^4/sqrt(a + b/x^3), x)","F",0
2026,0,0,0,0.000000," ","integrate(x/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{a + \frac{b}{x^{3}}}}\,{d x}"," ",0,"integrate(x/sqrt(a + b/x^3), x)","F",0
2027,0,0,0,0.000000," ","integrate(1/x^2/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{x^{3}}} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(a + b/x^3)*x^2), x)","F",0
2028,0,0,0,0.000000," ","integrate(1/x^5/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{x^{3}}} x^{5}}\,{d x}"," ",0,"integrate(1/(sqrt(a + b/x^3)*x^5), x)","F",0
2029,0,0,0,0.000000," ","integrate(1/x^8/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{x^{3}}} x^{8}}\,{d x}"," ",0,"integrate(1/(sqrt(a + b/x^3)*x^8), x)","F",0
2030,0,0,0,0.000000," ","integrate(x^6/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{\sqrt{a + \frac{b}{x^{3}}}}\,{d x}"," ",0,"integrate(x^6/sqrt(a + b/x^3), x)","F",0
2031,0,0,0,0.000000," ","integrate(x^3/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{a + \frac{b}{x^{3}}}}\,{d x}"," ",0,"integrate(x^3/sqrt(a + b/x^3), x)","F",0
2032,0,0,0,0.000000," ","integrate(1/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{x^{3}}}}\,{d x}"," ",0,"integrate(1/sqrt(a + b/x^3), x)","F",0
2033,0,0,0,0.000000," ","integrate(1/x^3/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{x^{3}}} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(a + b/x^3)*x^3), x)","F",0
2034,0,0,0,0.000000," ","integrate(1/x^6/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{x^{3}}} x^{6}}\,{d x}"," ",0,"integrate(1/(sqrt(a + b/x^3)*x^6), x)","F",0
2035,0,0,0,0.000000," ","integrate(1/x^9/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{x^{3}}} x^{9}}\,{d x}"," ",0,"integrate(1/(sqrt(a + b/x^3)*x^9), x)","F",0
2036,0,0,0,0.000000," ","integrate(1/x^12/(a+b/x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{x^{3}}} x^{12}}\,{d x}"," ",0,"integrate(1/(sqrt(a + b/x^3)*x^12), x)","F",0
2037,1,122,0,1.982636," ","integrate(x^5/(a+b/x^3)^(3/2),x, algorithm=""maxima"")","-\frac{15 \, {\left(a + \frac{b}{x^{3}}\right)}^{2} b^{2} - 25 \, {\left(a + \frac{b}{x^{3}}\right)} a b^{2} + 8 \, a^{2} b^{2}}{12 \, {\left({\left(a + \frac{b}{x^{3}}\right)}^{\frac{5}{2}} a^{3} - 2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} a^{4} + \sqrt{a + \frac{b}{x^{3}}} a^{5}\right)}} - \frac{5 \, b^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{3}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{3}}} + \sqrt{a}}\right)}{8 \, a^{\frac{7}{2}}}"," ",0,"-1/12*(15*(a + b/x^3)^2*b^2 - 25*(a + b/x^3)*a*b^2 + 8*a^2*b^2)/((a + b/x^3)^(5/2)*a^3 - 2*(a + b/x^3)^(3/2)*a^4 + sqrt(a + b/x^3)*a^5) - 5/8*b^2*log((sqrt(a + b/x^3) - sqrt(a))/(sqrt(a + b/x^3) + sqrt(a)))/a^(7/2)","A",0
2038,1,86,0,1.955326," ","integrate(x^2/(a+b/x^3)^(3/2),x, algorithm=""maxima"")","\frac{3 \, {\left(a + \frac{b}{x^{3}}\right)} b - 2 \, a b}{3 \, {\left({\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} a^{2} - \sqrt{a + \frac{b}{x^{3}}} a^{3}\right)}} + \frac{b \log\left(\frac{\sqrt{a + \frac{b}{x^{3}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{3}}} + \sqrt{a}}\right)}{2 \, a^{\frac{5}{2}}}"," ",0,"1/3*(3*(a + b/x^3)*b - 2*a*b)/((a + b/x^3)^(3/2)*a^2 - sqrt(a + b/x^3)*a^3) + 1/2*b*log((sqrt(a + b/x^3) - sqrt(a))/(sqrt(a + b/x^3) + sqrt(a)))/a^(5/2)","A",0
2039,1,52,0,1.920810," ","integrate(1/(a+b/x^3)^(3/2)/x,x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sqrt{a + \frac{b}{x^{3}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{3}}} + \sqrt{a}}\right)}{3 \, a^{\frac{3}{2}}} - \frac{2}{3 \, \sqrt{a + \frac{b}{x^{3}}} a}"," ",0,"-1/3*log((sqrt(a + b/x^3) - sqrt(a))/(sqrt(a + b/x^3) + sqrt(a)))/a^(3/2) - 2/3/(sqrt(a + b/x^3)*a)","A",0
2040,1,14,0,0.832305," ","integrate(1/(a+b/x^3)^(3/2)/x^4,x, algorithm=""maxima"")","\frac{2}{3 \, \sqrt{a + \frac{b}{x^{3}}} b}"," ",0,"2/3/(sqrt(a + b/x^3)*b)","A",0
2041,1,30,0,0.873636," ","integrate(1/(a+b/x^3)^(3/2)/x^7,x, algorithm=""maxima"")","-\frac{2 \, \sqrt{a + \frac{b}{x^{3}}}}{3 \, b^{2}} - \frac{2 \, a}{3 \, \sqrt{a + \frac{b}{x^{3}}} b^{2}}"," ",0,"-2/3*sqrt(a + b/x^3)/b^2 - 2/3*a/(sqrt(a + b/x^3)*b^2)","A",0
2042,1,47,0,0.839849," ","integrate(1/(a+b/x^3)^(3/2)/x^10,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}}}{9 \, b^{3}} + \frac{4 \, \sqrt{a + \frac{b}{x^{3}}} a}{3 \, b^{3}} + \frac{2 \, a^{2}}{3 \, \sqrt{a + \frac{b}{x^{3}}} b^{3}}"," ",0,"-2/9*(a + b/x^3)^(3/2)/b^3 + 4/3*sqrt(a + b/x^3)*a/b^3 + 2/3*a^2/(sqrt(a + b/x^3)*b^3)","A",0
2043,1,64,0,0.898612," ","integrate(1/(a+b/x^3)^(3/2)/x^13,x, algorithm=""maxima"")","-\frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{5}{2}}}{15 \, b^{4}} + \frac{2 \, {\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} a}{3 \, b^{4}} - \frac{2 \, \sqrt{a + \frac{b}{x^{3}}} a^{2}}{b^{4}} - \frac{2 \, a^{3}}{3 \, \sqrt{a + \frac{b}{x^{3}}} b^{4}}"," ",0,"-2/15*(a + b/x^3)^(5/2)/b^4 + 2/3*(a + b/x^3)^(3/2)*a/b^4 - 2*sqrt(a + b/x^3)*a^2/b^4 - 2/3*a^3/(sqrt(a + b/x^3)*b^4)","A",0
2044,0,0,0,0.000000," ","integrate(x^7/(a+b/x^3)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{7}}{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^7/(a + b/x^3)^(3/2), x)","F",0
2045,0,0,0,0.000000," ","integrate(x^4/(a+b/x^3)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^4/(a + b/x^3)^(3/2), x)","F",0
2046,0,0,0,0.000000," ","integrate(x/(a+b/x^3)^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(a + b/x^3)^(3/2), x)","F",0
2047,0,0,0,0.000000," ","integrate(1/(a+b/x^3)^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((a + b/x^3)^(3/2)*x^2), x)","F",0
2048,0,0,0,0.000000," ","integrate(1/(a+b/x^3)^(3/2)/x^5,x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} x^{5}}\,{d x}"," ",0,"integrate(1/((a + b/x^3)^(3/2)*x^5), x)","F",0
2049,0,0,0,0.000000," ","integrate(1/(a+b/x^3)^(3/2)/x^8,x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} x^{8}}\,{d x}"," ",0,"integrate(1/((a + b/x^3)^(3/2)*x^8), x)","F",0
2050,0,0,0,0.000000," ","integrate(x^6/(a+b/x^3)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^6/(a + b/x^3)^(3/2), x)","F",0
2051,0,0,0,0.000000," ","integrate(x^3/(a+b/x^3)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/(a + b/x^3)^(3/2), x)","F",0
2052,0,0,0,0.000000," ","integrate(1/(a+b/x^3)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a + b/x^3)^(-3/2), x)","F",0
2053,0,0,0,0.000000," ","integrate(1/(a+b/x^3)^(3/2)/x^3,x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate(1/((a + b/x^3)^(3/2)*x^3), x)","F",0
2054,0,0,0,0.000000," ","integrate(1/(a+b/x^3)^(3/2)/x^6,x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} x^{6}}\,{d x}"," ",0,"integrate(1/((a + b/x^3)^(3/2)*x^6), x)","F",0
2055,0,0,0,0.000000," ","integrate(1/(a+b/x^3)^(3/2)/x^9,x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} x^{9}}\,{d x}"," ",0,"integrate(1/((a + b/x^3)^(3/2)*x^9), x)","F",0
2056,0,0,0,0.000000," ","integrate(1/(a+b/x^3)^(3/2)/x^12,x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{3}}\right)}^{\frac{3}{2}} x^{12}}\,{d x}"," ",0,"integrate(1/((a + b/x^3)^(3/2)*x^12), x)","F",0
2057,1,179,0,2.003175," ","integrate(1/(a+b/x^4),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} \sqrt{b} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{a} x + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{2 \, \sqrt{2} \sqrt{b} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{a} x - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{\sqrt{\sqrt{a} \sqrt{b}}} + \frac{\sqrt{2} b^{\frac{1}{4}} \log\left(\sqrt{a} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{b}\right)}{a^{\frac{1}{4}}} - \frac{\sqrt{2} b^{\frac{1}{4}} \log\left(\sqrt{a} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{b}\right)}{a^{\frac{1}{4}}}}{8 \, a} + \frac{x}{a}"," ",0,"-1/8*(2*sqrt(2)*sqrt(b)*arctan(1/2*sqrt(2)*(2*sqrt(a)*x + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + 2*sqrt(2)*sqrt(b)*arctan(1/2*sqrt(2)*(2*sqrt(a)*x - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/sqrt(sqrt(a)*sqrt(b)) + sqrt(2)*b^(1/4)*log(sqrt(a)*x^2 + sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(b))/a^(1/4) - sqrt(2)*b^(1/4)*log(sqrt(a)*x^2 - sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(b))/a^(1/4))/a + x/a","A",0
2058,1,53,0,1.949472," ","integrate(x^3*(a+b/x^4)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{a + \frac{b}{x^{4}}} x^{4} - \frac{b \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{4}}} + \sqrt{a}}\right)}{8 \, \sqrt{a}}"," ",0,"1/4*sqrt(a + b/x^4)*x^4 - 1/8*b*log((sqrt(a + b/x^4) - sqrt(a))/(sqrt(a + b/x^4) + sqrt(a)))/sqrt(a)","A",0
2059,1,60,0,2.042542," ","integrate(x*(a+b/x^4)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{a + \frac{b}{x^{4}}} x^{2} + \frac{1}{4} \, \sqrt{b} \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} x^{2} - \sqrt{b}}{\sqrt{a + \frac{b}{x^{4}}} x^{2} + \sqrt{b}}\right)"," ",0,"1/2*sqrt(a + b/x^4)*x^2 + 1/4*sqrt(b)*log((sqrt(a + b/x^4)*x^2 - sqrt(b))/(sqrt(a + b/x^4)*x^2 + sqrt(b)))","A",0
2060,1,49,0,1.989313," ","integrate((a+b/x^4)^(1/2)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, \sqrt{a} \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{4}}} + \sqrt{a}}\right) - \frac{1}{2} \, \sqrt{a + \frac{b}{x^{4}}}"," ",0,"-1/4*sqrt(a)*log((sqrt(a + b/x^4) - sqrt(a))/(sqrt(a + b/x^4) + sqrt(a))) - 1/2*sqrt(a + b/x^4)","A",0
2061,1,79,0,1.870200," ","integrate((a+b/x^4)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{\sqrt{a + \frac{b}{x^{4}}} a x^{2}}{4 \, {\left({\left(a + \frac{b}{x^{4}}\right)} x^{4} - b\right)}} + \frac{a \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} x^{2} - \sqrt{b}}{\sqrt{a + \frac{b}{x^{4}}} x^{2} + \sqrt{b}}\right)}{8 \, \sqrt{b}}"," ",0,"-1/4*sqrt(a + b/x^4)*a*x^2/((a + b/x^4)*x^4 - b) + 1/8*a*log((sqrt(a + b/x^4)*x^2 - sqrt(b))/(sqrt(a + b/x^4)*x^2 + sqrt(b)))/sqrt(b)","B",0
2062,0,0,0,0.000000," ","integrate(x^2*(a+b/x^4)^(1/2),x, algorithm=""maxima"")","\int \sqrt{a + \frac{b}{x^{4}}} x^{2}\,{d x}"," ",0,"integrate(sqrt(a + b/x^4)*x^2, x)","F",0
2063,0,0,0,0.000000," ","integrate((a+b/x^4)^(1/2),x, algorithm=""maxima"")","\int \sqrt{a + \frac{b}{x^{4}}}\,{d x}"," ",0,"integrate(sqrt(a + b/x^4), x)","F",0
2064,0,0,0,0.000000," ","integrate((a+b/x^4)^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{a + \frac{b}{x^{4}}}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(a + b/x^4)/x^2, x)","F",0
2065,0,0,0,0.000000," ","integrate((a+b/x^4)^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{a + \frac{b}{x^{4}}}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(a + b/x^4)/x^4, x)","F",0
2066,1,66,0,2.019006," ","integrate((a+b/x^4)^(3/2)*x^3,x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{a + \frac{b}{x^{4}}} a x^{4} - \frac{3}{8} \, \sqrt{a} b \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{4}}} + \sqrt{a}}\right) - \frac{1}{2} \, \sqrt{a + \frac{b}{x^{4}}} b"," ",0,"1/4*sqrt(a + b/x^4)*a*x^4 - 3/8*sqrt(a)*b*log((sqrt(a + b/x^4) - sqrt(a))/(sqrt(a + b/x^4) + sqrt(a))) - 1/2*sqrt(a + b/x^4)*b","A",0
2067,1,95,0,1.973579," ","integrate((a+b/x^4)^(3/2)*x,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{a + \frac{b}{x^{4}}} a x^{2} - \frac{\sqrt{a + \frac{b}{x^{4}}} a b x^{2}}{4 \, {\left({\left(a + \frac{b}{x^{4}}\right)} x^{4} - b\right)}} + \frac{3}{8} \, a \sqrt{b} \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} x^{2} - \sqrt{b}}{\sqrt{a + \frac{b}{x^{4}}} x^{2} + \sqrt{b}}\right)"," ",0,"1/2*sqrt(a + b/x^4)*a*x^2 - 1/4*sqrt(a + b/x^4)*a*b*x^2/((a + b/x^4)*x^4 - b) + 3/8*a*sqrt(b)*log((sqrt(a + b/x^4)*x^2 - sqrt(b))/(sqrt(a + b/x^4)*x^2 + sqrt(b)))","A",0
2068,1,61,0,1.953023," ","integrate((a+b/x^4)^(3/2)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, a^{\frac{3}{2}} \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{4}}} + \sqrt{a}}\right) - \frac{1}{6} \, {\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} - \frac{1}{2} \, \sqrt{a + \frac{b}{x^{4}}} a"," ",0,"-1/4*a^(3/2)*log((sqrt(a + b/x^4) - sqrt(a))/(sqrt(a + b/x^4) + sqrt(a))) - 1/6*(a + b/x^4)^(3/2) - 1/2*sqrt(a + b/x^4)*a","A",0
2069,1,119,0,1.875835," ","integrate((a+b/x^4)^(3/2)/x^3,x, algorithm=""maxima"")","\frac{3 \, a^{2} \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} x^{2} - \sqrt{b}}{\sqrt{a + \frac{b}{x^{4}}} x^{2} + \sqrt{b}}\right)}{32 \, \sqrt{b}} - \frac{5 \, {\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} a^{2} x^{6} - 3 \, \sqrt{a + \frac{b}{x^{4}}} a^{2} b x^{2}}{16 \, {\left({\left(a + \frac{b}{x^{4}}\right)}^{2} x^{8} - 2 \, {\left(a + \frac{b}{x^{4}}\right)} b x^{4} + b^{2}\right)}}"," ",0,"3/32*a^2*log((sqrt(a + b/x^4)*x^2 - sqrt(b))/(sqrt(a + b/x^4)*x^2 + sqrt(b)))/sqrt(b) - 1/16*(5*(a + b/x^4)^(3/2)*a^2*x^6 - 3*sqrt(a + b/x^4)*a^2*b*x^2)/((a + b/x^4)^2*x^8 - 2*(a + b/x^4)*b*x^4 + b^2)","B",0
2070,0,0,0,0.000000," ","integrate((a+b/x^4)^(3/2)*x^2,x, algorithm=""maxima"")","\int {\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} x^{2}\,{d x}"," ",0,"integrate((a + b/x^4)^(3/2)*x^2, x)","F",0
2071,0,0,0,0.000000," ","integrate((a+b/x^4)^(3/2),x, algorithm=""maxima"")","\int {\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a + b/x^4)^(3/2), x)","F",0
2072,0,0,0,0.000000," ","integrate((a+b/x^4)^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((a + b/x^4)^(3/2)/x^2, x)","F",0
2073,0,0,0,0.000000," ","integrate((a+b/x^4)^(3/2)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}}}{x^{4}}\,{d x}"," ",0,"integrate((a + b/x^4)^(3/2)/x^4, x)","F",0
2074,1,81,0,1.922590," ","integrate((a+b/x^4)^(5/2)*x^3,x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{a + \frac{b}{x^{4}}} a^{2} x^{4} - \frac{5}{8} \, a^{\frac{3}{2}} b \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{4}}} + \sqrt{a}}\right) - \frac{1}{6} \, {\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} b - \sqrt{a + \frac{b}{x^{4}}} a b"," ",0,"1/4*sqrt(a + b/x^4)*a^2*x^4 - 5/8*a^(3/2)*b*log((sqrt(a + b/x^4) - sqrt(a))/(sqrt(a + b/x^4) + sqrt(a))) - 1/6*(a + b/x^4)^(3/2)*b - sqrt(a + b/x^4)*a*b","A",0
2075,1,139,0,1.959492," ","integrate((a+b/x^4)^(5/2)*x,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{a + \frac{b}{x^{4}}} a^{2} x^{2} + \frac{15}{32} \, a^{2} \sqrt{b} \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} x^{2} - \sqrt{b}}{\sqrt{a + \frac{b}{x^{4}}} x^{2} + \sqrt{b}}\right) - \frac{9 \, {\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} a^{2} b x^{6} - 7 \, \sqrt{a + \frac{b}{x^{4}}} a^{2} b^{2} x^{2}}{16 \, {\left({\left(a + \frac{b}{x^{4}}\right)}^{2} x^{8} - 2 \, {\left(a + \frac{b}{x^{4}}\right)} b x^{4} + b^{2}\right)}}"," ",0,"1/2*sqrt(a + b/x^4)*a^2*x^2 + 15/32*a^2*sqrt(b)*log((sqrt(a + b/x^4)*x^2 - sqrt(b))/(sqrt(a + b/x^4)*x^2 + sqrt(b))) - 1/16*(9*(a + b/x^4)^(3/2)*a^2*b*x^6 - 7*sqrt(a + b/x^4)*a^2*b^2*x^2)/((a + b/x^4)^2*x^8 - 2*(a + b/x^4)*b*x^4 + b^2)","A",0
2076,1,75,0,2.012661," ","integrate((a+b/x^4)^(5/2)/x,x, algorithm=""maxima"")","-\frac{1}{4} \, a^{\frac{5}{2}} \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{4}}} + \sqrt{a}}\right) - \frac{1}{10} \, {\left(a + \frac{b}{x^{4}}\right)}^{\frac{5}{2}} - \frac{1}{6} \, {\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} a - \frac{1}{2} \, \sqrt{a + \frac{b}{x^{4}}} a^{2}"," ",0,"-1/4*a^(5/2)*log((sqrt(a + b/x^4) - sqrt(a))/(sqrt(a + b/x^4) + sqrt(a))) - 1/10*(a + b/x^4)^(5/2) - 1/6*(a + b/x^4)^(3/2)*a - 1/2*sqrt(a + b/x^4)*a^2","A",0
2077,1,158,0,1.987062," ","integrate((a+b/x^4)^(5/2)/x^3,x, algorithm=""maxima"")","\frac{5 \, a^{3} \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} x^{2} - \sqrt{b}}{\sqrt{a + \frac{b}{x^{4}}} x^{2} + \sqrt{b}}\right)}{64 \, \sqrt{b}} - \frac{33 \, {\left(a + \frac{b}{x^{4}}\right)}^{\frac{5}{2}} a^{3} x^{10} - 40 \, {\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} a^{3} b x^{6} + 15 \, \sqrt{a + \frac{b}{x^{4}}} a^{3} b^{2} x^{2}}{96 \, {\left({\left(a + \frac{b}{x^{4}}\right)}^{3} x^{12} - 3 \, {\left(a + \frac{b}{x^{4}}\right)}^{2} b x^{8} + 3 \, {\left(a + \frac{b}{x^{4}}\right)} b^{2} x^{4} - b^{3}\right)}}"," ",0,"5/64*a^3*log((sqrt(a + b/x^4)*x^2 - sqrt(b))/(sqrt(a + b/x^4)*x^2 + sqrt(b)))/sqrt(b) - 1/96*(33*(a + b/x^4)^(5/2)*a^3*x^10 - 40*(a + b/x^4)^(3/2)*a^3*b*x^6 + 15*sqrt(a + b/x^4)*a^3*b^2*x^2)/((a + b/x^4)^3*x^12 - 3*(a + b/x^4)^2*b*x^8 + 3*(a + b/x^4)*b^2*x^4 - b^3)","B",0
2078,0,0,0,0.000000," ","integrate((a+b/x^4)^(5/2)*x^2,x, algorithm=""maxima"")","\int {\left(a + \frac{b}{x^{4}}\right)}^{\frac{5}{2}} x^{2}\,{d x}"," ",0,"integrate((a + b/x^4)^(5/2)*x^2, x)","F",0
2079,0,0,0,0.000000," ","integrate((a+b/x^4)^(5/2),x, algorithm=""maxima"")","\int {\left(a + \frac{b}{x^{4}}\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((a + b/x^4)^(5/2), x)","F",0
2080,0,0,0,0.000000," ","integrate((a+b/x^4)^(5/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x^{4}}\right)}^{\frac{5}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((a + b/x^4)^(5/2)/x^2, x)","F",0
2081,0,0,0,0.000000," ","integrate((a+b/x^4)^(5/2)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x^{4}}\right)}^{\frac{5}{2}}}{x^{4}}\,{d x}"," ",0,"integrate((a + b/x^4)^(5/2)/x^4, x)","F",0
2082,1,68,0,1.964776," ","integrate(x^3/(a+b/x^4)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{a + \frac{b}{x^{4}}} b}{4 \, {\left({\left(a + \frac{b}{x^{4}}\right)} a - a^{2}\right)}} + \frac{b \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{4}}} + \sqrt{a}}\right)}{8 \, a^{\frac{3}{2}}}"," ",0,"1/4*sqrt(a + b/x^4)*b/((a + b/x^4)*a - a^2) + 1/8*b*log((sqrt(a + b/x^4) - sqrt(a))/(sqrt(a + b/x^4) + sqrt(a)))/a^(3/2)","A",0
2083,1,17,0,0.868225," ","integrate(x/(a+b/x^4)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{a + \frac{b}{x^{4}}} x^{2}}{2 \, a}"," ",0,"1/2*sqrt(a + b/x^4)*x^2/a","A",0
2084,1,37,0,1.965274," ","integrate(1/x/(a+b/x^4)^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{4}}} + \sqrt{a}}\right)}{4 \, \sqrt{a}}"," ",0,"-1/4*log((sqrt(a + b/x^4) - sqrt(a))/(sqrt(a + b/x^4) + sqrt(a)))/sqrt(a)","A",0
2085,1,45,0,1.968552," ","integrate(1/x^3/(a+b/x^4)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} x^{2} - \sqrt{b}}{\sqrt{a + \frac{b}{x^{4}}} x^{2} + \sqrt{b}}\right)}{4 \, \sqrt{b}}"," ",0,"1/4*log((sqrt(a + b/x^4)*x^2 - sqrt(b))/(sqrt(a + b/x^4)*x^2 + sqrt(b)))/sqrt(b)","B",0
2086,0,0,0,0.000000," ","integrate(x^2/(a+b/x^4)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{a + \frac{b}{x^{4}}}}\,{d x}"," ",0,"integrate(x^2/sqrt(a + b/x^4), x)","F",0
2087,0,0,0,0.000000," ","integrate(1/(a+b/x^4)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{x^{4}}}}\,{d x}"," ",0,"integrate(1/sqrt(a + b/x^4), x)","F",0
2088,0,0,0,0.000000," ","integrate(1/x^2/(a+b/x^4)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{x^{4}}} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(a + b/x^4)*x^2), x)","F",0
2089,0,0,0,0.000000," ","integrate(1/x^4/(a+b/x^4)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{x^{4}}} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(a + b/x^4)*x^4), x)","F",0
2090,1,86,0,1.957973," ","integrate(x^3/(a+b/x^4)^(3/2),x, algorithm=""maxima"")","\frac{3 \, {\left(a + \frac{b}{x^{4}}\right)} b - 2 \, a b}{4 \, {\left({\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} a^{2} - \sqrt{a + \frac{b}{x^{4}}} a^{3}\right)}} + \frac{3 \, b \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{4}}} + \sqrt{a}}\right)}{8 \, a^{\frac{5}{2}}}"," ",0,"1/4*(3*(a + b/x^4)*b - 2*a*b)/((a + b/x^4)^(3/2)*a^2 - sqrt(a + b/x^4)*a^3) + 3/8*b*log((sqrt(a + b/x^4) - sqrt(a))/(sqrt(a + b/x^4) + sqrt(a)))/a^(5/2)","A",0
2091,1,36,0,0.816685," ","integrate(x/(a+b/x^4)^(3/2),x, algorithm=""maxima"")","\frac{\sqrt{a + \frac{b}{x^{4}}} x^{2}}{2 \, a^{2}} + \frac{b}{2 \, \sqrt{a + \frac{b}{x^{4}}} a^{2} x^{2}}"," ",0,"1/2*sqrt(a + b/x^4)*x^2/a^2 + 1/2*b/(sqrt(a + b/x^4)*a^2*x^2)","A",0
2092,1,52,0,1.933969," ","integrate(1/(a+b/x^4)^(3/2)/x,x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{4}}} + \sqrt{a}}\right)}{4 \, a^{\frac{3}{2}}} - \frac{1}{2 \, \sqrt{a + \frac{b}{x^{4}}} a}"," ",0,"-1/4*log((sqrt(a + b/x^4) - sqrt(a))/(sqrt(a + b/x^4) + sqrt(a)))/a^(3/2) - 1/2/(sqrt(a + b/x^4)*a)","A",0
2093,1,17,0,0.879612," ","integrate(1/(a+b/x^4)^(3/2)/x^3,x, algorithm=""maxima"")","-\frac{1}{2 \, \sqrt{a + \frac{b}{x^{4}}} a x^{2}}"," ",0,"-1/2/(sqrt(a + b/x^4)*a*x^2)","A",0
2094,0,0,0,0.000000," ","integrate(x^2/(a+b/x^4)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(a + b/x^4)^(3/2), x)","F",0
2095,0,0,0,0.000000," ","integrate(1/(a+b/x^4)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a + b/x^4)^(-3/2), x)","F",0
2096,0,0,0,0.000000," ","integrate(1/(a+b/x^4)^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((a + b/x^4)^(3/2)*x^2), x)","F",0
2097,0,0,0,0.000000," ","integrate(1/(a+b/x^4)^(3/2)/x^4,x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate(1/((a + b/x^4)^(3/2)*x^4), x)","F",0
2098,1,101,0,1.977647," ","integrate(x^3/(a+b/x^4)^(5/2),x, algorithm=""maxima"")","\frac{15 \, {\left(a + \frac{b}{x^{4}}\right)}^{2} b - 10 \, {\left(a + \frac{b}{x^{4}}\right)} a b - 2 \, a^{2} b}{12 \, {\left({\left(a + \frac{b}{x^{4}}\right)}^{\frac{5}{2}} a^{3} - {\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} a^{4}\right)}} + \frac{5 \, b \log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{4}}} + \sqrt{a}}\right)}{8 \, a^{\frac{7}{2}}}"," ",0,"1/12*(15*(a + b/x^4)^2*b - 10*(a + b/x^4)*a*b - 2*a^2*b)/((a + b/x^4)^(5/2)*a^3 - (a + b/x^4)^(3/2)*a^4) + 5/8*b*log((sqrt(a + b/x^4) - sqrt(a))/(sqrt(a + b/x^4) + sqrt(a)))/a^(7/2)","A",0
2099,1,54,0,0.875235," ","integrate(x/(a+b/x^4)^(5/2),x, algorithm=""maxima"")","\frac{\sqrt{a + \frac{b}{x^{4}}} x^{2}}{2 \, a^{3}} + \frac{6 \, {\left(a + \frac{b}{x^{4}}\right)} b x^{4} - b^{2}}{6 \, {\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} a^{3} x^{6}}"," ",0,"1/2*sqrt(a + b/x^4)*x^2/a^3 + 1/6*(6*(a + b/x^4)*b*x^4 - b^2)/((a + b/x^4)^(3/2)*a^3*x^6)","A",0
2100,1,62,0,1.921135," ","integrate(1/(a+b/x^4)^(5/2)/x,x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sqrt{a + \frac{b}{x^{4}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{4}}} + \sqrt{a}}\right)}{4 \, a^{\frac{5}{2}}} - \frac{4 \, a + \frac{3 \, b}{x^{4}}}{6 \, {\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} a^{2}}"," ",0,"-1/4*log((sqrt(a + b/x^4) - sqrt(a))/(sqrt(a + b/x^4) + sqrt(a)))/a^(5/2) - 1/6*(4*a + 3*b/x^4)/((a + b/x^4)^(3/2)*a^2)","A",0
2101,1,33,0,0.867831," ","integrate(1/(a+b/x^4)^(5/2)/x^3,x, algorithm=""maxima"")","-\frac{3 \, {\left(a + \frac{b}{x^{4}}\right)} x^{4} - b}{6 \, {\left(a + \frac{b}{x^{4}}\right)}^{\frac{3}{2}} a^{2} x^{6}}"," ",0,"-1/6*(3*(a + b/x^4)*x^4 - b)/((a + b/x^4)^(3/2)*a^2*x^6)","A",0
2102,0,0,0,0.000000," ","integrate(x^2/(a+b/x^4)^(5/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(a + \frac{b}{x^{4}}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^2/(a + b/x^4)^(5/2), x)","F",0
2103,0,0,0,0.000000," ","integrate(1/(a+b/x^4)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{4}}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a + b/x^4)^(-5/2), x)","F",0
2104,0,0,0,0.000000," ","integrate(1/(a+b/x^4)^(5/2)/x^2,x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{4}}\right)}^{\frac{5}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((a + b/x^4)^(5/2)*x^2), x)","F",0
2105,0,0,0,0.000000," ","integrate(1/(a+b/x^4)^(5/2)/x^4,x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x^{4}}\right)}^{\frac{5}{2}} x^{4}}\,{d x}"," ",0,"integrate(1/((a + b/x^4)^(5/2)*x^4), x)","F",0
2106,1,250,0,2.028440," ","integrate(1/(a+b/x^5),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{5} b^{\frac{1}{5}} {\left(\sqrt{5} + 1\right)} \arctan\left(\frac{4 \, a^{\frac{2}{5}} x + a^{\frac{1}{5}} b^{\frac{1}{5}} {\left(\sqrt{5} - 1\right)}}{a^{\frac{1}{5}} b^{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 10}}\right)}{a^{\frac{1}{5}} \sqrt{2 \, \sqrt{5} + 10}} + \frac{2 \, \sqrt{5} b^{\frac{1}{5}} {\left(\sqrt{5} - 1\right)} \arctan\left(\frac{4 \, a^{\frac{2}{5}} x - a^{\frac{1}{5}} b^{\frac{1}{5}} {\left(\sqrt{5} + 1\right)}}{a^{\frac{1}{5}} b^{\frac{1}{5}} \sqrt{-2 \, \sqrt{5} + 10}}\right)}{a^{\frac{1}{5}} \sqrt{-2 \, \sqrt{5} + 10}} - \frac{b^{\frac{1}{5}} {\left(\sqrt{5} + 3\right)} \log\left(2 \, a^{\frac{2}{5}} x^{2} - a^{\frac{1}{5}} b^{\frac{1}{5}} x {\left(\sqrt{5} + 1\right)} + 2 \, b^{\frac{2}{5}}\right)}{a^{\frac{1}{5}} {\left(\sqrt{5} + 1\right)}} - \frac{b^{\frac{1}{5}} {\left(\sqrt{5} - 3\right)} \log\left(2 \, a^{\frac{2}{5}} x^{2} + a^{\frac{1}{5}} b^{\frac{1}{5}} x {\left(\sqrt{5} - 1\right)} + 2 \, b^{\frac{2}{5}}\right)}{a^{\frac{1}{5}} {\left(\sqrt{5} - 1\right)}} + \frac{2 \, b^{\frac{1}{5}} \log\left(a^{\frac{1}{5}} x + b^{\frac{1}{5}}\right)}{a^{\frac{1}{5}}}}{10 \, a} + \frac{x}{a}"," ",0,"-1/10*(2*sqrt(5)*b^(1/5)*(sqrt(5) + 1)*arctan((4*a^(2/5)*x + a^(1/5)*b^(1/5)*(sqrt(5) - 1))/(a^(1/5)*b^(1/5)*sqrt(2*sqrt(5) + 10)))/(a^(1/5)*sqrt(2*sqrt(5) + 10)) + 2*sqrt(5)*b^(1/5)*(sqrt(5) - 1)*arctan((4*a^(2/5)*x - a^(1/5)*b^(1/5)*(sqrt(5) + 1))/(a^(1/5)*b^(1/5)*sqrt(-2*sqrt(5) + 10)))/(a^(1/5)*sqrt(-2*sqrt(5) + 10)) - b^(1/5)*(sqrt(5) + 3)*log(2*a^(2/5)*x^2 - a^(1/5)*b^(1/5)*x*(sqrt(5) + 1) + 2*b^(2/5))/(a^(1/5)*(sqrt(5) + 1)) - b^(1/5)*(sqrt(5) - 3)*log(2*a^(2/5)*x^2 + a^(1/5)*b^(1/5)*x*(sqrt(5) - 1) + 2*b^(2/5))/(a^(1/5)*(sqrt(5) - 1)) + 2*b^(1/5)*log(a^(1/5)*x + b^(1/5))/a^(1/5))/a + x/a","A",0
2107,1,37,0,1.927616," ","integrate(1/x/(a+b/x^5)^(1/2),x, algorithm=""maxima"")","-\frac{\log\left(\frac{\sqrt{a + \frac{b}{x^{5}}} - \sqrt{a}}{\sqrt{a + \frac{b}{x^{5}}} + \sqrt{a}}\right)}{5 \, \sqrt{a}}"," ",0,"-1/5*log((sqrt(a + b/x^5) - sqrt(a))/(sqrt(a + b/x^5) + sqrt(a)))/sqrt(a)","A",0
2108,1,21,0,1.958349," ","integrate(1/x/(-a+b/x^5)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \arctan\left(\frac{\sqrt{-a + \frac{b}{x^{5}}}}{\sqrt{a}}\right)}{5 \, \sqrt{a}}"," ",0,"-2/5*arctan(sqrt(-a + b/x^5)/sqrt(a))/sqrt(a)","A",0
2109,1,194,0,1.767164," ","integrate(1/(a+b/x^6),x, algorithm=""maxima"")","-\frac{\frac{\sqrt{3} b^{\frac{1}{6}} \log\left(a^{\frac{1}{3}} x^{2} + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + b^{\frac{1}{3}}\right)}{a^{\frac{1}{6}}} - \frac{\sqrt{3} b^{\frac{1}{6}} \log\left(a^{\frac{1}{3}} x^{2} - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}} x + b^{\frac{1}{3}}\right)}{a^{\frac{1}{6}}} + \frac{4 \, b^{\frac{1}{3}} \arctan\left(\frac{a^{\frac{1}{3}} x}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, b^{\frac{1}{3}} \arctan\left(\frac{2 \, a^{\frac{1}{3}} x + \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}} + \frac{2 \, b^{\frac{1}{3}} \arctan\left(\frac{2 \, a^{\frac{1}{3}} x - \sqrt{3} a^{\frac{1}{6}} b^{\frac{1}{6}}}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}\right)}{\sqrt{a^{\frac{1}{3}} b^{\frac{1}{3}}}}}{12 \, a} + \frac{x}{a}"," ",0,"-1/12*(sqrt(3)*b^(1/6)*log(a^(1/3)*x^2 + sqrt(3)*a^(1/6)*b^(1/6)*x + b^(1/3))/a^(1/6) - sqrt(3)*b^(1/6)*log(a^(1/3)*x^2 - sqrt(3)*a^(1/6)*b^(1/6)*x + b^(1/3))/a^(1/6) + 4*b^(1/3)*arctan(a^(1/3)*x/sqrt(a^(1/3)*b^(1/3)))/sqrt(a^(1/3)*b^(1/3)) + 2*b^(1/3)*arctan((2*a^(1/3)*x + sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/sqrt(a^(1/3)*b^(1/3)) + 2*b^(1/3)*arctan((2*a^(1/3)*x - sqrt(3)*a^(1/6)*b^(1/6))/sqrt(a^(1/3)*b^(1/3)))/sqrt(a^(1/3)*b^(1/3)))/a + x/a","A",0
2110,0,0,0,0.000000," ","integrate(1/(a+b/x^8),x, algorithm=""maxima"")","-\frac{\frac{1}{8} \, b {\left(\frac{2 \, \left(\frac{b}{a}\right)^{\frac{1}{8}} \arctan\left(\frac{2 \, x + \sqrt{-\sqrt{2} + 2} \left(\frac{b}{a}\right)^{\frac{1}{8}}}{\sqrt{\sqrt{2} + 2} \left(\frac{b}{a}\right)^{\frac{1}{8}}}\right)}{b \sqrt{-2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{b}{a}\right)^{\frac{1}{8}} \arctan\left(\frac{2 \, x - \sqrt{-\sqrt{2} + 2} \left(\frac{b}{a}\right)^{\frac{1}{8}}}{\sqrt{\sqrt{2} + 2} \left(\frac{b}{a}\right)^{\frac{1}{8}}}\right)}{b \sqrt{-2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{b}{a}\right)^{\frac{1}{8}} \arctan\left(\frac{2 \, x + \sqrt{\sqrt{2} + 2} \left(\frac{b}{a}\right)^{\frac{1}{8}}}{\sqrt{-\sqrt{2} + 2} \left(\frac{b}{a}\right)^{\frac{1}{8}}}\right)}{b \sqrt{2 \, \sqrt{2} + 4}} + \frac{2 \, \left(\frac{b}{a}\right)^{\frac{1}{8}} \arctan\left(\frac{2 \, x - \sqrt{\sqrt{2} + 2} \left(\frac{b}{a}\right)^{\frac{1}{8}}}{\sqrt{-\sqrt{2} + 2} \left(\frac{b}{a}\right)^{\frac{1}{8}}}\right)}{b \sqrt{2 \, \sqrt{2} + 4}} + \frac{\left(\frac{b}{a}\right)^{\frac{1}{8}} \log\left(x^{2} + x \sqrt{\sqrt{2} + 2} \left(\frac{b}{a}\right)^{\frac{1}{8}} + \left(\frac{b}{a}\right)^{\frac{1}{4}}\right)}{b \sqrt{-2 \, \sqrt{2} + 4}} - \frac{\left(\frac{b}{a}\right)^{\frac{1}{8}} \log\left(x^{2} - x \sqrt{\sqrt{2} + 2} \left(\frac{b}{a}\right)^{\frac{1}{8}} + \left(\frac{b}{a}\right)^{\frac{1}{4}}\right)}{b \sqrt{-2 \, \sqrt{2} + 4}} + \frac{\left(\frac{b}{a}\right)^{\frac{1}{8}} \log\left(x^{2} + x \sqrt{-\sqrt{2} + 2} \left(\frac{b}{a}\right)^{\frac{1}{8}} + \left(\frac{b}{a}\right)^{\frac{1}{4}}\right)}{b \sqrt{2 \, \sqrt{2} + 4}} - \frac{\left(\frac{b}{a}\right)^{\frac{1}{8}} \log\left(x^{2} - x \sqrt{-\sqrt{2} + 2} \left(\frac{b}{a}\right)^{\frac{1}{8}} + \left(\frac{b}{a}\right)^{\frac{1}{4}}\right)}{b \sqrt{2 \, \sqrt{2} + 4}}\right)}}{a} + \frac{x}{a}"," ",0,"-b*integrate(1/(a*x^8 + b), x)/a + x/a","F",0
2111,1,166,0,0.784498," ","integrate(x^4*(a+b*x^(1/2)),x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{11}}{11 \, b^{10}} - \frac{9 \, {\left(b \sqrt{x} + a\right)}^{10} a}{5 \, b^{10}} + \frac{8 \, {\left(b \sqrt{x} + a\right)}^{9} a^{2}}{b^{10}} - \frac{21 \, {\left(b \sqrt{x} + a\right)}^{8} a^{3}}{b^{10}} + \frac{36 \, {\left(b \sqrt{x} + a\right)}^{7} a^{4}}{b^{10}} - \frac{42 \, {\left(b \sqrt{x} + a\right)}^{6} a^{5}}{b^{10}} + \frac{168 \, {\left(b \sqrt{x} + a\right)}^{5} a^{6}}{5 \, b^{10}} - \frac{18 \, {\left(b \sqrt{x} + a\right)}^{4} a^{7}}{b^{10}} + \frac{6 \, {\left(b \sqrt{x} + a\right)}^{3} a^{8}}{b^{10}} - \frac{{\left(b \sqrt{x} + a\right)}^{2} a^{9}}{b^{10}}"," ",0,"2/11*(b*sqrt(x) + a)^11/b^10 - 9/5*(b*sqrt(x) + a)^10*a/b^10 + 8*(b*sqrt(x) + a)^9*a^2/b^10 - 21*(b*sqrt(x) + a)^8*a^3/b^10 + 36*(b*sqrt(x) + a)^7*a^4/b^10 - 42*(b*sqrt(x) + a)^6*a^5/b^10 + 168/5*(b*sqrt(x) + a)^5*a^6/b^10 - 18*(b*sqrt(x) + a)^4*a^7/b^10 + 6*(b*sqrt(x) + a)^3*a^8/b^10 - (b*sqrt(x) + a)^2*a^9/b^10","B",0
2112,1,132,0,0.920144," ","integrate(x^3*(a+b*x^(1/2)),x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{9}}{9 \, b^{8}} - \frac{7 \, {\left(b \sqrt{x} + a\right)}^{8} a}{4 \, b^{8}} + \frac{6 \, {\left(b \sqrt{x} + a\right)}^{7} a^{2}}{b^{8}} - \frac{35 \, {\left(b \sqrt{x} + a\right)}^{6} a^{3}}{3 \, b^{8}} + \frac{14 \, {\left(b \sqrt{x} + a\right)}^{5} a^{4}}{b^{8}} - \frac{21 \, {\left(b \sqrt{x} + a\right)}^{4} a^{5}}{2 \, b^{8}} + \frac{14 \, {\left(b \sqrt{x} + a\right)}^{3} a^{6}}{3 \, b^{8}} - \frac{{\left(b \sqrt{x} + a\right)}^{2} a^{7}}{b^{8}}"," ",0,"2/9*(b*sqrt(x) + a)^9/b^8 - 7/4*(b*sqrt(x) + a)^8*a/b^8 + 6*(b*sqrt(x) + a)^7*a^2/b^8 - 35/3*(b*sqrt(x) + a)^6*a^3/b^8 + 14*(b*sqrt(x) + a)^5*a^4/b^8 - 21/2*(b*sqrt(x) + a)^4*a^5/b^8 + 14/3*(b*sqrt(x) + a)^3*a^6/b^8 - (b*sqrt(x) + a)^2*a^7/b^8","B",0
2113,1,98,0,0.893560," ","integrate(x^2*(a+b*x^(1/2)),x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{7}}{7 \, b^{6}} - \frac{5 \, {\left(b \sqrt{x} + a\right)}^{6} a}{3 \, b^{6}} + \frac{4 \, {\left(b \sqrt{x} + a\right)}^{5} a^{2}}{b^{6}} - \frac{5 \, {\left(b \sqrt{x} + a\right)}^{4} a^{3}}{b^{6}} + \frac{10 \, {\left(b \sqrt{x} + a\right)}^{3} a^{4}}{3 \, b^{6}} - \frac{{\left(b \sqrt{x} + a\right)}^{2} a^{5}}{b^{6}}"," ",0,"2/7*(b*sqrt(x) + a)^7/b^6 - 5/3*(b*sqrt(x) + a)^6*a/b^6 + 4*(b*sqrt(x) + a)^5*a^2/b^6 - 5*(b*sqrt(x) + a)^4*a^3/b^6 + 10/3*(b*sqrt(x) + a)^3*a^4/b^6 - (b*sqrt(x) + a)^2*a^5/b^6","B",0
2114,1,64,0,0.921710," ","integrate(x*(a+b*x^(1/2)),x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{5}}{5 \, b^{4}} - \frac{3 \, {\left(b \sqrt{x} + a\right)}^{4} a}{2 \, b^{4}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}^{3} a^{2}}{b^{4}} - \frac{{\left(b \sqrt{x} + a\right)}^{2} a^{3}}{b^{4}}"," ",0,"2/5*(b*sqrt(x) + a)^5/b^4 - 3/2*(b*sqrt(x) + a)^4*a/b^4 + 2*(b*sqrt(x) + a)^3*a^2/b^4 - (b*sqrt(x) + a)^2*a^3/b^4","B",0
2115,1,10,0,0.863825," ","integrate(a+b*x^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, b x^{\frac{3}{2}} + a x"," ",0,"2/3*b*x^(3/2) + a*x","A",0
2116,1,11,0,0.916711," ","integrate((a+b*x^(1/2))/x,x, algorithm=""maxima"")","a \log\left(x\right) + 2 \, b \sqrt{x}"," ",0,"a*log(x) + 2*b*sqrt(x)","A",0
2117,1,13,0,0.788305," ","integrate((a+b*x^(1/2))/x^2,x, algorithm=""maxima"")","-\frac{2 \, b \sqrt{x} + a}{x}"," ",0,"-(2*b*sqrt(x) + a)/x","A",0
2118,1,15,0,0.837845," ","integrate((a+b*x^(1/2))/x^3,x, algorithm=""maxima"")","-\frac{4 \, b \sqrt{x} + 3 \, a}{6 \, x^{2}}"," ",0,"-1/6*(4*b*sqrt(x) + 3*a)/x^2","A",0
2119,1,15,0,0.880420," ","integrate((a+b*x^(1/2))/x^4,x, algorithm=""maxima"")","-\frac{6 \, b \sqrt{x} + 5 \, a}{15 \, x^{3}}"," ",0,"-1/15*(6*b*sqrt(x) + 5*a)/x^3","A",0
2120,1,166,0,0.851248," ","integrate(x^4*(a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{{\left(b \sqrt{x} + a\right)}^{12}}{6 \, b^{10}} - \frac{18 \, {\left(b \sqrt{x} + a\right)}^{11} a}{11 \, b^{10}} + \frac{36 \, {\left(b \sqrt{x} + a\right)}^{10} a^{2}}{5 \, b^{10}} - \frac{56 \, {\left(b \sqrt{x} + a\right)}^{9} a^{3}}{3 \, b^{10}} + \frac{63 \, {\left(b \sqrt{x} + a\right)}^{8} a^{4}}{2 \, b^{10}} - \frac{36 \, {\left(b \sqrt{x} + a\right)}^{7} a^{5}}{b^{10}} + \frac{28 \, {\left(b \sqrt{x} + a\right)}^{6} a^{6}}{b^{10}} - \frac{72 \, {\left(b \sqrt{x} + a\right)}^{5} a^{7}}{5 \, b^{10}} + \frac{9 \, {\left(b \sqrt{x} + a\right)}^{4} a^{8}}{2 \, b^{10}} - \frac{2 \, {\left(b \sqrt{x} + a\right)}^{3} a^{9}}{3 \, b^{10}}"," ",0,"1/6*(b*sqrt(x) + a)^12/b^10 - 18/11*(b*sqrt(x) + a)^11*a/b^10 + 36/5*(b*sqrt(x) + a)^10*a^2/b^10 - 56/3*(b*sqrt(x) + a)^9*a^3/b^10 + 63/2*(b*sqrt(x) + a)^8*a^4/b^10 - 36*(b*sqrt(x) + a)^7*a^5/b^10 + 28*(b*sqrt(x) + a)^6*a^6/b^10 - 72/5*(b*sqrt(x) + a)^5*a^7/b^10 + 9/2*(b*sqrt(x) + a)^4*a^8/b^10 - 2/3*(b*sqrt(x) + a)^3*a^9/b^10","B",0
2121,1,132,0,0.866325," ","integrate(x^3*(a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{{\left(b \sqrt{x} + a\right)}^{10}}{5 \, b^{8}} - \frac{14 \, {\left(b \sqrt{x} + a\right)}^{9} a}{9 \, b^{8}} + \frac{21 \, {\left(b \sqrt{x} + a\right)}^{8} a^{2}}{4 \, b^{8}} - \frac{10 \, {\left(b \sqrt{x} + a\right)}^{7} a^{3}}{b^{8}} + \frac{35 \, {\left(b \sqrt{x} + a\right)}^{6} a^{4}}{3 \, b^{8}} - \frac{42 \, {\left(b \sqrt{x} + a\right)}^{5} a^{5}}{5 \, b^{8}} + \frac{7 \, {\left(b \sqrt{x} + a\right)}^{4} a^{6}}{2 \, b^{8}} - \frac{2 \, {\left(b \sqrt{x} + a\right)}^{3} a^{7}}{3 \, b^{8}}"," ",0,"1/5*(b*sqrt(x) + a)^10/b^8 - 14/9*(b*sqrt(x) + a)^9*a/b^8 + 21/4*(b*sqrt(x) + a)^8*a^2/b^8 - 10*(b*sqrt(x) + a)^7*a^3/b^8 + 35/3*(b*sqrt(x) + a)^6*a^4/b^8 - 42/5*(b*sqrt(x) + a)^5*a^5/b^8 + 7/2*(b*sqrt(x) + a)^4*a^6/b^8 - 2/3*(b*sqrt(x) + a)^3*a^7/b^8","B",0
2122,1,98,0,0.811767," ","integrate(x^2*(a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{{\left(b \sqrt{x} + a\right)}^{8}}{4 \, b^{6}} - \frac{10 \, {\left(b \sqrt{x} + a\right)}^{7} a}{7 \, b^{6}} + \frac{10 \, {\left(b \sqrt{x} + a\right)}^{6} a^{2}}{3 \, b^{6}} - \frac{4 \, {\left(b \sqrt{x} + a\right)}^{5} a^{3}}{b^{6}} + \frac{5 \, {\left(b \sqrt{x} + a\right)}^{4} a^{4}}{2 \, b^{6}} - \frac{2 \, {\left(b \sqrt{x} + a\right)}^{3} a^{5}}{3 \, b^{6}}"," ",0,"1/4*(b*sqrt(x) + a)^8/b^6 - 10/7*(b*sqrt(x) + a)^7*a/b^6 + 10/3*(b*sqrt(x) + a)^6*a^2/b^6 - 4*(b*sqrt(x) + a)^5*a^3/b^6 + 5/2*(b*sqrt(x) + a)^4*a^4/b^6 - 2/3*(b*sqrt(x) + a)^3*a^5/b^6","B",0
2123,1,64,0,0.895328," ","integrate(x*(a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{{\left(b \sqrt{x} + a\right)}^{6}}{3 \, b^{4}} - \frac{6 \, {\left(b \sqrt{x} + a\right)}^{5} a}{5 \, b^{4}} + \frac{3 \, {\left(b \sqrt{x} + a\right)}^{4} a^{2}}{2 \, b^{4}} - \frac{2 \, {\left(b \sqrt{x} + a\right)}^{3} a^{3}}{3 \, b^{4}}"," ",0,"1/3*(b*sqrt(x) + a)^6/b^4 - 6/5*(b*sqrt(x) + a)^5*a/b^4 + 3/2*(b*sqrt(x) + a)^4*a^2/b^4 - 2/3*(b*sqrt(x) + a)^3*a^3/b^4","B",0
2124,1,21,0,0.893323," ","integrate((a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} x^{2} + \frac{4}{3} \, a b x^{\frac{3}{2}} + a^{2} x"," ",0,"1/2*b^2*x^2 + 4/3*a*b*x^(3/2) + a^2*x","A",0
2125,1,19,0,0.875087," ","integrate((a+b*x^(1/2))^2/x,x, algorithm=""maxima"")","b^{2} x + a^{2} \log\left(x\right) + 4 \, a b \sqrt{x}"," ",0,"b^2*x + a^2*log(x) + 4*a*b*sqrt(x)","A",0
2126,1,23,0,0.975103," ","integrate((a+b*x^(1/2))^2/x^2,x, algorithm=""maxima"")","b^{2} \log\left(x\right) - \frac{4 \, a b \sqrt{x} + a^{2}}{x}"," ",0,"b^2*log(x) - (4*a*b*sqrt(x) + a^2)/x","A",0
2127,1,24,0,0.812176," ","integrate((a+b*x^(1/2))^2/x^3,x, algorithm=""maxima"")","-\frac{6 \, b^{2} x + 8 \, a b \sqrt{x} + 3 \, a^{2}}{6 \, x^{2}}"," ",0,"-1/6*(6*b^2*x + 8*a*b*sqrt(x) + 3*a^2)/x^2","A",0
2128,1,24,0,0.840923," ","integrate((a+b*x^(1/2))^2/x^4,x, algorithm=""maxima"")","-\frac{15 \, b^{2} x + 24 \, a b \sqrt{x} + 10 \, a^{2}}{30 \, x^{3}}"," ",0,"-1/30*(15*b^2*x + 24*a*b*sqrt(x) + 10*a^2)/x^3","A",0
2129,1,24,0,0.854600," ","integrate((a+b*x^(1/2))^2/x^5,x, algorithm=""maxima"")","-\frac{28 \, b^{2} x + 48 \, a b \sqrt{x} + 21 \, a^{2}}{84 \, x^{4}}"," ",0,"-1/84*(28*b^2*x + 48*a*b*sqrt(x) + 21*a^2)/x^4","A",0
2130,1,166,0,0.917017," ","integrate(x^4*(a+b*x^(1/2))^3,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{13}}{13 \, b^{10}} - \frac{3 \, {\left(b \sqrt{x} + a\right)}^{12} a}{2 \, b^{10}} + \frac{72 \, {\left(b \sqrt{x} + a\right)}^{11} a^{2}}{11 \, b^{10}} - \frac{84 \, {\left(b \sqrt{x} + a\right)}^{10} a^{3}}{5 \, b^{10}} + \frac{28 \, {\left(b \sqrt{x} + a\right)}^{9} a^{4}}{b^{10}} - \frac{63 \, {\left(b \sqrt{x} + a\right)}^{8} a^{5}}{2 \, b^{10}} + \frac{24 \, {\left(b \sqrt{x} + a\right)}^{7} a^{6}}{b^{10}} - \frac{12 \, {\left(b \sqrt{x} + a\right)}^{6} a^{7}}{b^{10}} + \frac{18 \, {\left(b \sqrt{x} + a\right)}^{5} a^{8}}{5 \, b^{10}} - \frac{{\left(b \sqrt{x} + a\right)}^{4} a^{9}}{2 \, b^{10}}"," ",0,"2/13*(b*sqrt(x) + a)^13/b^10 - 3/2*(b*sqrt(x) + a)^12*a/b^10 + 72/11*(b*sqrt(x) + a)^11*a^2/b^10 - 84/5*(b*sqrt(x) + a)^10*a^3/b^10 + 28*(b*sqrt(x) + a)^9*a^4/b^10 - 63/2*(b*sqrt(x) + a)^8*a^5/b^10 + 24*(b*sqrt(x) + a)^7*a^6/b^10 - 12*(b*sqrt(x) + a)^6*a^7/b^10 + 18/5*(b*sqrt(x) + a)^5*a^8/b^10 - 1/2*(b*sqrt(x) + a)^4*a^9/b^10","B",0
2131,1,132,0,0.941475," ","integrate(x^3*(a+b*x^(1/2))^3,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{11}}{11 \, b^{8}} - \frac{7 \, {\left(b \sqrt{x} + a\right)}^{10} a}{5 \, b^{8}} + \frac{14 \, {\left(b \sqrt{x} + a\right)}^{9} a^{2}}{3 \, b^{8}} - \frac{35 \, {\left(b \sqrt{x} + a\right)}^{8} a^{3}}{4 \, b^{8}} + \frac{10 \, {\left(b \sqrt{x} + a\right)}^{7} a^{4}}{b^{8}} - \frac{7 \, {\left(b \sqrt{x} + a\right)}^{6} a^{5}}{b^{8}} + \frac{14 \, {\left(b \sqrt{x} + a\right)}^{5} a^{6}}{5 \, b^{8}} - \frac{{\left(b \sqrt{x} + a\right)}^{4} a^{7}}{2 \, b^{8}}"," ",0,"2/11*(b*sqrt(x) + a)^11/b^8 - 7/5*(b*sqrt(x) + a)^10*a/b^8 + 14/3*(b*sqrt(x) + a)^9*a^2/b^8 - 35/4*(b*sqrt(x) + a)^8*a^3/b^8 + 10*(b*sqrt(x) + a)^7*a^4/b^8 - 7*(b*sqrt(x) + a)^6*a^5/b^8 + 14/5*(b*sqrt(x) + a)^5*a^6/b^8 - 1/2*(b*sqrt(x) + a)^4*a^7/b^8","B",0
2132,1,98,0,0.927187," ","integrate(x^2*(a+b*x^(1/2))^3,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{9}}{9 \, b^{6}} - \frac{5 \, {\left(b \sqrt{x} + a\right)}^{8} a}{4 \, b^{6}} + \frac{20 \, {\left(b \sqrt{x} + a\right)}^{7} a^{2}}{7 \, b^{6}} - \frac{10 \, {\left(b \sqrt{x} + a\right)}^{6} a^{3}}{3 \, b^{6}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}^{5} a^{4}}{b^{6}} - \frac{{\left(b \sqrt{x} + a\right)}^{4} a^{5}}{2 \, b^{6}}"," ",0,"2/9*(b*sqrt(x) + a)^9/b^6 - 5/4*(b*sqrt(x) + a)^8*a/b^6 + 20/7*(b*sqrt(x) + a)^7*a^2/b^6 - 10/3*(b*sqrt(x) + a)^6*a^3/b^6 + 2*(b*sqrt(x) + a)^5*a^4/b^6 - 1/2*(b*sqrt(x) + a)^4*a^5/b^6","B",0
2133,1,64,0,0.841058," ","integrate(x*(a+b*x^(1/2))^3,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{7}}{7 \, b^{4}} - \frac{{\left(b \sqrt{x} + a\right)}^{6} a}{b^{4}} + \frac{6 \, {\left(b \sqrt{x} + a\right)}^{5} a^{2}}{5 \, b^{4}} - \frac{{\left(b \sqrt{x} + a\right)}^{4} a^{3}}{2 \, b^{4}}"," ",0,"2/7*(b*sqrt(x) + a)^7/b^4 - (b*sqrt(x) + a)^6*a/b^4 + 6/5*(b*sqrt(x) + a)^5*a^2/b^4 - 1/2*(b*sqrt(x) + a)^4*a^3/b^4","A",0
2134,1,32,0,0.914830," ","integrate((a+b*x^(1/2))^3,x, algorithm=""maxima"")","\frac{2}{5} \, b^{3} x^{\frac{5}{2}} + \frac{3}{2} \, a b^{2} x^{2} + 2 \, a^{2} b x^{\frac{3}{2}} + a^{3} x"," ",0,"2/5*b^3*x^(5/2) + 3/2*a*b^2*x^2 + 2*a^2*b*x^(3/2) + a^3*x","A",0
2135,1,31,0,0.884630," ","integrate((a+b*x^(1/2))^3/x,x, algorithm=""maxima"")","\frac{2}{3} \, b^{3} x^{\frac{3}{2}} + 3 \, a b^{2} x + a^{3} \log\left(x\right) + 6 \, a^{2} b \sqrt{x}"," ",0,"2/3*b^3*x^(3/2) + 3*a*b^2*x + a^3*log(x) + 6*a^2*b*sqrt(x)","A",0
2136,1,35,0,0.887671," ","integrate((a+b*x^(1/2))^3/x^2,x, algorithm=""maxima"")","3 \, a b^{2} \log\left(x\right) + 2 \, b^{3} \sqrt{x} - \frac{6 \, a^{2} b \sqrt{x} + a^{3}}{x}"," ",0,"3*a*b^2*log(x) + 2*b^3*sqrt(x) - (6*a^2*b*sqrt(x) + a^3)/x","A",0
2137,1,33,0,0.812111," ","integrate((a+b*x^(1/2))^3/x^3,x, algorithm=""maxima"")","-\frac{4 \, b^{3} x^{\frac{3}{2}} + 6 \, a b^{2} x + 4 \, a^{2} b \sqrt{x} + a^{3}}{2 \, x^{2}}"," ",0,"-1/2*(4*b^3*x^(3/2) + 6*a*b^2*x + 4*a^2*b*sqrt(x) + a^3)/x^2","A",0
2138,1,35,0,0.835537," ","integrate((a+b*x^(1/2))^3/x^4,x, algorithm=""maxima"")","-\frac{20 \, b^{3} x^{\frac{3}{2}} + 45 \, a b^{2} x + 36 \, a^{2} b \sqrt{x} + 10 \, a^{3}}{30 \, x^{3}}"," ",0,"-1/30*(20*b^3*x^(3/2) + 45*a*b^2*x + 36*a^2*b*sqrt(x) + 10*a^3)/x^3","A",0
2139,1,35,0,0.795887," ","integrate((a+b*x^(1/2))^3/x^5,x, algorithm=""maxima"")","-\frac{56 \, b^{3} x^{\frac{3}{2}} + 140 \, a b^{2} x + 120 \, a^{2} b \sqrt{x} + 35 \, a^{3}}{140 \, x^{4}}"," ",0,"-1/140*(56*b^3*x^(3/2) + 140*a*b^2*x + 120*a^2*b*sqrt(x) + 35*a^3)/x^4","A",0
2140,1,35,0,0.903622," ","integrate((a+b*x^(1/2))^3/x^6,x, algorithm=""maxima"")","-\frac{120 \, b^{3} x^{\frac{3}{2}} + 315 \, a b^{2} x + 280 \, a^{2} b \sqrt{x} + 84 \, a^{3}}{420 \, x^{5}}"," ",0,"-1/420*(120*b^3*x^(3/2) + 315*a*b^2*x + 280*a^2*b*sqrt(x) + 84*a^3)/x^5","A",0
2141,1,166,0,0.935303," ","integrate(x^4*(a+b*x^(1/2))^5,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{15}}{15 \, b^{10}} - \frac{9 \, {\left(b \sqrt{x} + a\right)}^{14} a}{7 \, b^{10}} + \frac{72 \, {\left(b \sqrt{x} + a\right)}^{13} a^{2}}{13 \, b^{10}} - \frac{14 \, {\left(b \sqrt{x} + a\right)}^{12} a^{3}}{b^{10}} + \frac{252 \, {\left(b \sqrt{x} + a\right)}^{11} a^{4}}{11 \, b^{10}} - \frac{126 \, {\left(b \sqrt{x} + a\right)}^{10} a^{5}}{5 \, b^{10}} + \frac{56 \, {\left(b \sqrt{x} + a\right)}^{9} a^{6}}{3 \, b^{10}} - \frac{9 \, {\left(b \sqrt{x} + a\right)}^{8} a^{7}}{b^{10}} + \frac{18 \, {\left(b \sqrt{x} + a\right)}^{7} a^{8}}{7 \, b^{10}} - \frac{{\left(b \sqrt{x} + a\right)}^{6} a^{9}}{3 \, b^{10}}"," ",0,"2/15*(b*sqrt(x) + a)^15/b^10 - 9/7*(b*sqrt(x) + a)^14*a/b^10 + 72/13*(b*sqrt(x) + a)^13*a^2/b^10 - 14*(b*sqrt(x) + a)^12*a^3/b^10 + 252/11*(b*sqrt(x) + a)^11*a^4/b^10 - 126/5*(b*sqrt(x) + a)^10*a^5/b^10 + 56/3*(b*sqrt(x) + a)^9*a^6/b^10 - 9*(b*sqrt(x) + a)^8*a^7/b^10 + 18/7*(b*sqrt(x) + a)^7*a^8/b^10 - 1/3*(b*sqrt(x) + a)^6*a^9/b^10","B",0
2142,1,132,0,0.895005," ","integrate(x^3*(a+b*x^(1/2))^5,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{13}}{13 \, b^{8}} - \frac{7 \, {\left(b \sqrt{x} + a\right)}^{12} a}{6 \, b^{8}} + \frac{42 \, {\left(b \sqrt{x} + a\right)}^{11} a^{2}}{11 \, b^{8}} - \frac{7 \, {\left(b \sqrt{x} + a\right)}^{10} a^{3}}{b^{8}} + \frac{70 \, {\left(b \sqrt{x} + a\right)}^{9} a^{4}}{9 \, b^{8}} - \frac{21 \, {\left(b \sqrt{x} + a\right)}^{8} a^{5}}{4 \, b^{8}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}^{7} a^{6}}{b^{8}} - \frac{{\left(b \sqrt{x} + a\right)}^{6} a^{7}}{3 \, b^{8}}"," ",0,"2/13*(b*sqrt(x) + a)^13/b^8 - 7/6*(b*sqrt(x) + a)^12*a/b^8 + 42/11*(b*sqrt(x) + a)^11*a^2/b^8 - 7*(b*sqrt(x) + a)^10*a^3/b^8 + 70/9*(b*sqrt(x) + a)^9*a^4/b^8 - 21/4*(b*sqrt(x) + a)^8*a^5/b^8 + 2*(b*sqrt(x) + a)^7*a^6/b^8 - 1/3*(b*sqrt(x) + a)^6*a^7/b^8","B",0
2143,1,98,0,0.895368," ","integrate(x^2*(a+b*x^(1/2))^5,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{11}}{11 \, b^{6}} - \frac{{\left(b \sqrt{x} + a\right)}^{10} a}{b^{6}} + \frac{20 \, {\left(b \sqrt{x} + a\right)}^{9} a^{2}}{9 \, b^{6}} - \frac{5 \, {\left(b \sqrt{x} + a\right)}^{8} a^{3}}{2 \, b^{6}} + \frac{10 \, {\left(b \sqrt{x} + a\right)}^{7} a^{4}}{7 \, b^{6}} - \frac{{\left(b \sqrt{x} + a\right)}^{6} a^{5}}{3 \, b^{6}}"," ",0,"2/11*(b*sqrt(x) + a)^11/b^6 - (b*sqrt(x) + a)^10*a/b^6 + 20/9*(b*sqrt(x) + a)^9*a^2/b^6 - 5/2*(b*sqrt(x) + a)^8*a^3/b^6 + 10/7*(b*sqrt(x) + a)^7*a^4/b^6 - 1/3*(b*sqrt(x) + a)^6*a^5/b^6","A",0
2144,1,64,0,0.838067," ","integrate(x*(a+b*x^(1/2))^5,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{9}}{9 \, b^{4}} - \frac{3 \, {\left(b \sqrt{x} + a\right)}^{8} a}{4 \, b^{4}} + \frac{6 \, {\left(b \sqrt{x} + a\right)}^{7} a^{2}}{7 \, b^{4}} - \frac{{\left(b \sqrt{x} + a\right)}^{6} a^{3}}{3 \, b^{4}}"," ",0,"2/9*(b*sqrt(x) + a)^9/b^4 - 3/4*(b*sqrt(x) + a)^8*a/b^4 + 6/7*(b*sqrt(x) + a)^7*a^2/b^4 - 1/3*(b*sqrt(x) + a)^6*a^3/b^4","A",0
2145,1,54,0,0.843546," ","integrate((a+b*x^(1/2))^5,x, algorithm=""maxima"")","\frac{2}{7} \, b^{5} x^{\frac{7}{2}} + \frac{5}{3} \, a b^{4} x^{3} + 4 \, a^{2} b^{3} x^{\frac{5}{2}} + 5 \, a^{3} b^{2} x^{2} + \frac{10}{3} \, a^{4} b x^{\frac{3}{2}} + a^{5} x"," ",0,"2/7*b^5*x^(7/2) + 5/3*a*b^4*x^3 + 4*a^2*b^3*x^(5/2) + 5*a^3*b^2*x^2 + 10/3*a^4*b*x^(3/2) + a^5*x","A",0
2146,1,53,0,0.874952," ","integrate((a+b*x^(1/2))^5/x,x, algorithm=""maxima"")","\frac{2}{5} \, b^{5} x^{\frac{5}{2}} + \frac{5}{2} \, a b^{4} x^{2} + \frac{20}{3} \, a^{2} b^{3} x^{\frac{3}{2}} + 10 \, a^{3} b^{2} x + a^{5} \log\left(x\right) + 10 \, a^{4} b \sqrt{x}"," ",0,"2/5*b^5*x^(5/2) + 5/2*a*b^4*x^2 + 20/3*a^2*b^3*x^(3/2) + 10*a^3*b^2*x + a^5*log(x) + 10*a^4*b*sqrt(x)","A",0
2147,1,55,0,0.914612," ","integrate((a+b*x^(1/2))^5/x^2,x, algorithm=""maxima"")","\frac{2}{3} \, b^{5} x^{\frac{3}{2}} + 5 \, a b^{4} x + 10 \, a^{3} b^{2} \log\left(x\right) + 20 \, a^{2} b^{3} \sqrt{x} - \frac{10 \, a^{4} b \sqrt{x} + a^{5}}{x}"," ",0,"2/3*b^5*x^(3/2) + 5*a*b^4*x + 10*a^3*b^2*log(x) + 20*a^2*b^3*sqrt(x) - (10*a^4*b*sqrt(x) + a^5)/x","A",0
2148,1,57,0,0.784477," ","integrate((a+b*x^(1/2))^5/x^3,x, algorithm=""maxima"")","5 \, a b^{4} \log\left(x\right) + 2 \, b^{5} \sqrt{x} - \frac{120 \, a^{2} b^{3} x^{\frac{3}{2}} + 60 \, a^{3} b^{2} x + 20 \, a^{4} b \sqrt{x} + 3 \, a^{5}}{6 \, x^{2}}"," ",0,"5*a*b^4*log(x) + 2*b^5*sqrt(x) - 1/6*(120*a^2*b^3*x^(3/2) + 60*a^3*b^2*x + 20*a^4*b*sqrt(x) + 3*a^5)/x^2","A",0
2149,1,55,0,0.866413," ","integrate((a+b*x^(1/2))^5/x^4,x, algorithm=""maxima"")","-\frac{6 \, b^{5} x^{\frac{5}{2}} + 15 \, a b^{4} x^{2} + 20 \, a^{2} b^{3} x^{\frac{3}{2}} + 15 \, a^{3} b^{2} x + 6 \, a^{4} b \sqrt{x} + a^{5}}{3 \, x^{3}}"," ",0,"-1/3*(6*b^5*x^(5/2) + 15*a*b^4*x^2 + 20*a^2*b^3*x^(3/2) + 15*a^3*b^2*x + 6*a^4*b*sqrt(x) + a^5)/x^3","B",0
2150,1,57,0,0.858501," ","integrate((a+b*x^(1/2))^5/x^5,x, algorithm=""maxima"")","-\frac{56 \, b^{5} x^{\frac{5}{2}} + 210 \, a b^{4} x^{2} + 336 \, a^{2} b^{3} x^{\frac{3}{2}} + 280 \, a^{3} b^{2} x + 120 \, a^{4} b \sqrt{x} + 21 \, a^{5}}{84 \, x^{4}}"," ",0,"-1/84*(56*b^5*x^(5/2) + 210*a*b^4*x^2 + 336*a^2*b^3*x^(3/2) + 280*a^3*b^2*x + 120*a^4*b*sqrt(x) + 21*a^5)/x^4","A",0
2151,1,57,0,0.878214," ","integrate((a+b*x^(1/2))^5/x^6,x, algorithm=""maxima"")","-\frac{252 \, b^{5} x^{\frac{5}{2}} + 1050 \, a b^{4} x^{2} + 1800 \, a^{2} b^{3} x^{\frac{3}{2}} + 1575 \, a^{3} b^{2} x + 700 \, a^{4} b \sqrt{x} + 126 \, a^{5}}{630 \, x^{5}}"," ",0,"-1/630*(252*b^5*x^(5/2) + 1050*a*b^4*x^2 + 1800*a^2*b^3*x^(3/2) + 1575*a^3*b^2*x + 700*a^4*b*sqrt(x) + 126*a^5)/x^5","A",0
2152,1,57,0,0.875988," ","integrate((a+b*x^(1/2))^5/x^7,x, algorithm=""maxima"")","-\frac{792 \, b^{5} x^{\frac{5}{2}} + 3465 \, a b^{4} x^{2} + 6160 \, a^{2} b^{3} x^{\frac{3}{2}} + 5544 \, a^{3} b^{2} x + 2520 \, a^{4} b \sqrt{x} + 462 \, a^{5}}{2772 \, x^{6}}"," ",0,"-1/2772*(792*b^5*x^(5/2) + 3465*a*b^4*x^2 + 6160*a^2*b^3*x^(3/2) + 5544*a^3*b^2*x + 2520*a^4*b*sqrt(x) + 462*a^5)/x^6","A",0
2153,1,166,0,0.925579," ","integrate(x^4*(a+b*x^(1/2))^10,x, algorithm=""maxima"")","\frac{{\left(b \sqrt{x} + a\right)}^{20}}{10 \, b^{10}} - \frac{18 \, {\left(b \sqrt{x} + a\right)}^{19} a}{19 \, b^{10}} + \frac{4 \, {\left(b \sqrt{x} + a\right)}^{18} a^{2}}{b^{10}} - \frac{168 \, {\left(b \sqrt{x} + a\right)}^{17} a^{3}}{17 \, b^{10}} + \frac{63 \, {\left(b \sqrt{x} + a\right)}^{16} a^{4}}{4 \, b^{10}} - \frac{84 \, {\left(b \sqrt{x} + a\right)}^{15} a^{5}}{5 \, b^{10}} + \frac{12 \, {\left(b \sqrt{x} + a\right)}^{14} a^{6}}{b^{10}} - \frac{72 \, {\left(b \sqrt{x} + a\right)}^{13} a^{7}}{13 \, b^{10}} + \frac{3 \, {\left(b \sqrt{x} + a\right)}^{12} a^{8}}{2 \, b^{10}} - \frac{2 \, {\left(b \sqrt{x} + a\right)}^{11} a^{9}}{11 \, b^{10}}"," ",0,"1/10*(b*sqrt(x) + a)^20/b^10 - 18/19*(b*sqrt(x) + a)^19*a/b^10 + 4*(b*sqrt(x) + a)^18*a^2/b^10 - 168/17*(b*sqrt(x) + a)^17*a^3/b^10 + 63/4*(b*sqrt(x) + a)^16*a^4/b^10 - 84/5*(b*sqrt(x) + a)^15*a^5/b^10 + 12*(b*sqrt(x) + a)^14*a^6/b^10 - 72/13*(b*sqrt(x) + a)^13*a^7/b^10 + 3/2*(b*sqrt(x) + a)^12*a^8/b^10 - 2/11*(b*sqrt(x) + a)^11*a^9/b^10","A",0
2154,1,132,0,0.874942," ","integrate(x^3*(a+b*x^(1/2))^10,x, algorithm=""maxima"")","\frac{{\left(b \sqrt{x} + a\right)}^{18}}{9 \, b^{8}} - \frac{14 \, {\left(b \sqrt{x} + a\right)}^{17} a}{17 \, b^{8}} + \frac{21 \, {\left(b \sqrt{x} + a\right)}^{16} a^{2}}{8 \, b^{8}} - \frac{14 \, {\left(b \sqrt{x} + a\right)}^{15} a^{3}}{3 \, b^{8}} + \frac{5 \, {\left(b \sqrt{x} + a\right)}^{14} a^{4}}{b^{8}} - \frac{42 \, {\left(b \sqrt{x} + a\right)}^{13} a^{5}}{13 \, b^{8}} + \frac{7 \, {\left(b \sqrt{x} + a\right)}^{12} a^{6}}{6 \, b^{8}} - \frac{2 \, {\left(b \sqrt{x} + a\right)}^{11} a^{7}}{11 \, b^{8}}"," ",0,"1/9*(b*sqrt(x) + a)^18/b^8 - 14/17*(b*sqrt(x) + a)^17*a/b^8 + 21/8*(b*sqrt(x) + a)^16*a^2/b^8 - 14/3*(b*sqrt(x) + a)^15*a^3/b^8 + 5*(b*sqrt(x) + a)^14*a^4/b^8 - 42/13*(b*sqrt(x) + a)^13*a^5/b^8 + 7/6*(b*sqrt(x) + a)^12*a^6/b^8 - 2/11*(b*sqrt(x) + a)^11*a^7/b^8","A",0
2155,1,98,0,0.878782," ","integrate(x^2*(a+b*x^(1/2))^10,x, algorithm=""maxima"")","\frac{{\left(b \sqrt{x} + a\right)}^{16}}{8 \, b^{6}} - \frac{2 \, {\left(b \sqrt{x} + a\right)}^{15} a}{3 \, b^{6}} + \frac{10 \, {\left(b \sqrt{x} + a\right)}^{14} a^{2}}{7 \, b^{6}} - \frac{20 \, {\left(b \sqrt{x} + a\right)}^{13} a^{3}}{13 \, b^{6}} + \frac{5 \, {\left(b \sqrt{x} + a\right)}^{12} a^{4}}{6 \, b^{6}} - \frac{2 \, {\left(b \sqrt{x} + a\right)}^{11} a^{5}}{11 \, b^{6}}"," ",0,"1/8*(b*sqrt(x) + a)^16/b^6 - 2/3*(b*sqrt(x) + a)^15*a/b^6 + 10/7*(b*sqrt(x) + a)^14*a^2/b^6 - 20/13*(b*sqrt(x) + a)^13*a^3/b^6 + 5/6*(b*sqrt(x) + a)^12*a^4/b^6 - 2/11*(b*sqrt(x) + a)^11*a^5/b^6","A",0
2156,1,64,0,0.845739," ","integrate(x*(a+b*x^(1/2))^10,x, algorithm=""maxima"")","\frac{{\left(b \sqrt{x} + a\right)}^{14}}{7 \, b^{4}} - \frac{6 \, {\left(b \sqrt{x} + a\right)}^{13} a}{13 \, b^{4}} + \frac{{\left(b \sqrt{x} + a\right)}^{12} a^{2}}{2 \, b^{4}} - \frac{2 \, {\left(b \sqrt{x} + a\right)}^{11} a^{3}}{11 \, b^{4}}"," ",0,"1/7*(b*sqrt(x) + a)^14/b^4 - 6/13*(b*sqrt(x) + a)^13*a/b^4 + 1/2*(b*sqrt(x) + a)^12*a^2/b^4 - 2/11*(b*sqrt(x) + a)^11*a^3/b^4","A",0
2157,1,30,0,0.867180," ","integrate((a+b*x^(1/2))^10,x, algorithm=""maxima"")","\frac{{\left(b \sqrt{x} + a\right)}^{12}}{6 \, b^{2}} - \frac{2 \, {\left(b \sqrt{x} + a\right)}^{11} a}{11 \, b^{2}}"," ",0,"1/6*(b*sqrt(x) + a)^12/b^2 - 2/11*(b*sqrt(x) + a)^11*a/b^2","A",0
2158,1,108,0,0.848544," ","integrate((a+b*x^(1/2))^10/x,x, algorithm=""maxima"")","\frac{1}{5} \, b^{10} x^{5} + \frac{20}{9} \, a b^{9} x^{\frac{9}{2}} + \frac{45}{4} \, a^{2} b^{8} x^{4} + \frac{240}{7} \, a^{3} b^{7} x^{\frac{7}{2}} + 70 \, a^{4} b^{6} x^{3} + \frac{504}{5} \, a^{5} b^{5} x^{\frac{5}{2}} + 105 \, a^{6} b^{4} x^{2} + 80 \, a^{7} b^{3} x^{\frac{3}{2}} + 45 \, a^{8} b^{2} x + a^{10} \log\left(x\right) + 20 \, a^{9} b \sqrt{x}"," ",0,"1/5*b^10*x^5 + 20/9*a*b^9*x^(9/2) + 45/4*a^2*b^8*x^4 + 240/7*a^3*b^7*x^(7/2) + 70*a^4*b^6*x^3 + 504/5*a^5*b^5*x^(5/2) + 105*a^6*b^4*x^2 + 80*a^7*b^3*x^(3/2) + 45*a^8*b^2*x + a^10*log(x) + 20*a^9*b*sqrt(x)","A",0
2159,1,110,0,0.808166," ","integrate((a+b*x^(1/2))^10/x^2,x, algorithm=""maxima"")","\frac{1}{4} \, b^{10} x^{4} + \frac{20}{7} \, a b^{9} x^{\frac{7}{2}} + 15 \, a^{2} b^{8} x^{3} + 48 \, a^{3} b^{7} x^{\frac{5}{2}} + 105 \, a^{4} b^{6} x^{2} + 168 \, a^{5} b^{5} x^{\frac{3}{2}} + 210 \, a^{6} b^{4} x + 45 \, a^{8} b^{2} \log\left(x\right) + 240 \, a^{7} b^{3} \sqrt{x} - \frac{20 \, a^{9} b \sqrt{x} + a^{10}}{x}"," ",0,"1/4*b^10*x^4 + 20/7*a*b^9*x^(7/2) + 15*a^2*b^8*x^3 + 48*a^3*b^7*x^(5/2) + 105*a^4*b^6*x^2 + 168*a^5*b^5*x^(3/2) + 210*a^6*b^4*x + 45*a^8*b^2*log(x) + 240*a^7*b^3*sqrt(x) - (20*a^9*b*sqrt(x) + a^10)/x","A",0
2160,1,110,0,0.878717," ","integrate((a+b*x^(1/2))^10/x^3,x, algorithm=""maxima"")","\frac{1}{3} \, b^{10} x^{3} + 4 \, a b^{9} x^{\frac{5}{2}} + \frac{45}{2} \, a^{2} b^{8} x^{2} + 80 \, a^{3} b^{7} x^{\frac{3}{2}} + 210 \, a^{4} b^{6} x + 210 \, a^{6} b^{4} \log\left(x\right) + 504 \, a^{5} b^{5} \sqrt{x} - \frac{1440 \, a^{7} b^{3} x^{\frac{3}{2}} + 270 \, a^{8} b^{2} x + 40 \, a^{9} b \sqrt{x} + 3 \, a^{10}}{6 \, x^{2}}"," ",0,"1/3*b^10*x^3 + 4*a*b^9*x^(5/2) + 45/2*a^2*b^8*x^2 + 80*a^3*b^7*x^(3/2) + 210*a^4*b^6*x + 210*a^6*b^4*log(x) + 504*a^5*b^5*sqrt(x) - 1/6*(1440*a^7*b^3*x^(3/2) + 270*a^8*b^2*x + 40*a^9*b*sqrt(x) + 3*a^10)/x^2","A",0
2161,1,110,0,0.865711," ","integrate((a+b*x^(1/2))^10/x^4,x, algorithm=""maxima"")","\frac{1}{2} \, b^{10} x^{2} + \frac{20}{3} \, a b^{9} x^{\frac{3}{2}} + 45 \, a^{2} b^{8} x + 210 \, a^{4} b^{6} \log\left(x\right) + 240 \, a^{3} b^{7} \sqrt{x} - \frac{3024 \, a^{5} b^{5} x^{\frac{5}{2}} + 1260 \, a^{6} b^{4} x^{2} + 480 \, a^{7} b^{3} x^{\frac{3}{2}} + 135 \, a^{8} b^{2} x + 24 \, a^{9} b \sqrt{x} + 2 \, a^{10}}{6 \, x^{3}}"," ",0,"1/2*b^10*x^2 + 20/3*a*b^9*x^(3/2) + 45*a^2*b^8*x + 210*a^4*b^6*log(x) + 240*a^3*b^7*sqrt(x) - 1/6*(3024*a^5*b^5*x^(5/2) + 1260*a^6*b^4*x^2 + 480*a^7*b^3*x^(3/2) + 135*a^8*b^2*x + 24*a^9*b*sqrt(x) + 2*a^10)/x^3","A",0
2162,1,109,0,0.887282," ","integrate((a+b*x^(1/2))^10/x^5,x, algorithm=""maxima"")","b^{10} x + 45 \, a^{2} b^{8} \log\left(x\right) + 20 \, a b^{9} \sqrt{x} - \frac{6720 \, a^{3} b^{7} x^{\frac{7}{2}} + 5880 \, a^{4} b^{6} x^{3} + 4704 \, a^{5} b^{5} x^{\frac{5}{2}} + 2940 \, a^{6} b^{4} x^{2} + 1344 \, a^{7} b^{3} x^{\frac{3}{2}} + 420 \, a^{8} b^{2} x + 80 \, a^{9} b \sqrt{x} + 7 \, a^{10}}{28 \, x^{4}}"," ",0,"b^10*x + 45*a^2*b^8*log(x) + 20*a*b^9*sqrt(x) - 1/28*(6720*a^3*b^7*x^(7/2) + 5880*a^4*b^6*x^3 + 4704*a^5*b^5*x^(5/2) + 2940*a^6*b^4*x^2 + 1344*a^7*b^3*x^(3/2) + 420*a^8*b^2*x + 80*a^9*b*sqrt(x) + 7*a^10)/x^4","A",0
2163,1,111,0,0.886788," ","integrate((a+b*x^(1/2))^10/x^6,x, algorithm=""maxima"")","b^{10} \log\left(x\right) - \frac{25200 \, a b^{9} x^{\frac{9}{2}} + 56700 \, a^{2} b^{8} x^{4} + 100800 \, a^{3} b^{7} x^{\frac{7}{2}} + 132300 \, a^{4} b^{6} x^{3} + 127008 \, a^{5} b^{5} x^{\frac{5}{2}} + 88200 \, a^{6} b^{4} x^{2} + 43200 \, a^{7} b^{3} x^{\frac{3}{2}} + 14175 \, a^{8} b^{2} x + 2800 \, a^{9} b \sqrt{x} + 252 \, a^{10}}{1260 \, x^{5}}"," ",0,"b^10*log(x) - 1/1260*(25200*a*b^9*x^(9/2) + 56700*a^2*b^8*x^4 + 100800*a^3*b^7*x^(7/2) + 132300*a^4*b^6*x^3 + 127008*a^5*b^5*x^(5/2) + 88200*a^6*b^4*x^2 + 43200*a^7*b^3*x^(3/2) + 14175*a^8*b^2*x + 2800*a^9*b*sqrt(x) + 252*a^10)/x^5","A",0
2164,1,112,0,0.911292," ","integrate((a+b*x^(1/2))^10/x^7,x, algorithm=""maxima"")","-\frac{66 \, b^{10} x^{5} + 440 \, a b^{9} x^{\frac{9}{2}} + 1485 \, a^{2} b^{8} x^{4} + 3168 \, a^{3} b^{7} x^{\frac{7}{2}} + 4620 \, a^{4} b^{6} x^{3} + 4752 \, a^{5} b^{5} x^{\frac{5}{2}} + 3465 \, a^{6} b^{4} x^{2} + 1760 \, a^{7} b^{3} x^{\frac{3}{2}} + 594 \, a^{8} b^{2} x + 120 \, a^{9} b \sqrt{x} + 11 \, a^{10}}{66 \, x^{6}}"," ",0,"-1/66*(66*b^10*x^5 + 440*a*b^9*x^(9/2) + 1485*a^2*b^8*x^4 + 3168*a^3*b^7*x^(7/2) + 4620*a^4*b^6*x^3 + 4752*a^5*b^5*x^(5/2) + 3465*a^6*b^4*x^2 + 1760*a^7*b^3*x^(3/2) + 594*a^8*b^2*x + 120*a^9*b*sqrt(x) + 11*a^10)/x^6","B",0
2165,1,112,0,0.866024," ","integrate((a+b*x^(1/2))^10/x^8,x, algorithm=""maxima"")","-\frac{1001 \, b^{10} x^{5} + 8008 \, a b^{9} x^{\frac{9}{2}} + 30030 \, a^{2} b^{8} x^{4} + 68640 \, a^{3} b^{7} x^{\frac{7}{2}} + 105105 \, a^{4} b^{6} x^{3} + 112112 \, a^{5} b^{5} x^{\frac{5}{2}} + 84084 \, a^{6} b^{4} x^{2} + 43680 \, a^{7} b^{3} x^{\frac{3}{2}} + 15015 \, a^{8} b^{2} x + 3080 \, a^{9} b \sqrt{x} + 286 \, a^{10}}{2002 \, x^{7}}"," ",0,"-1/2002*(1001*b^10*x^5 + 8008*a*b^9*x^(9/2) + 30030*a^2*b^8*x^4 + 68640*a^3*b^7*x^(7/2) + 105105*a^4*b^6*x^3 + 112112*a^5*b^5*x^(5/2) + 84084*a^6*b^4*x^2 + 43680*a^7*b^3*x^(3/2) + 15015*a^8*b^2*x + 3080*a^9*b*sqrt(x) + 286*a^10)/x^7","A",0
2166,1,112,0,0.935513," ","integrate((a+b*x^(1/2))^10/x^9,x, algorithm=""maxima"")","-\frac{8008 \, b^{10} x^{5} + 68640 \, a b^{9} x^{\frac{9}{2}} + 270270 \, a^{2} b^{8} x^{4} + 640640 \, a^{3} b^{7} x^{\frac{7}{2}} + 1009008 \, a^{4} b^{6} x^{3} + 1100736 \, a^{5} b^{5} x^{\frac{5}{2}} + 840840 \, a^{6} b^{4} x^{2} + 443520 \, a^{7} b^{3} x^{\frac{3}{2}} + 154440 \, a^{8} b^{2} x + 32032 \, a^{9} b \sqrt{x} + 3003 \, a^{10}}{24024 \, x^{8}}"," ",0,"-1/24024*(8008*b^10*x^5 + 68640*a*b^9*x^(9/2) + 270270*a^2*b^8*x^4 + 640640*a^3*b^7*x^(7/2) + 1009008*a^4*b^6*x^3 + 1100736*a^5*b^5*x^(5/2) + 840840*a^6*b^4*x^2 + 443520*a^7*b^3*x^(3/2) + 154440*a^8*b^2*x + 32032*a^9*b*sqrt(x) + 3003*a^10)/x^8","A",0
2167,1,112,0,0.904217," ","integrate((a+b*x^(1/2))^10/x^10,x, algorithm=""maxima"")","-\frac{43758 \, b^{10} x^{5} + 388960 \, a b^{9} x^{\frac{9}{2}} + 1575288 \, a^{2} b^{8} x^{4} + 3818880 \, a^{3} b^{7} x^{\frac{7}{2}} + 6126120 \, a^{4} b^{6} x^{3} + 6785856 \, a^{5} b^{5} x^{\frac{5}{2}} + 5250960 \, a^{6} b^{4} x^{2} + 2800512 \, a^{7} b^{3} x^{\frac{3}{2}} + 984555 \, a^{8} b^{2} x + 205920 \, a^{9} b \sqrt{x} + 19448 \, a^{10}}{175032 \, x^{9}}"," ",0,"-1/175032*(43758*b^10*x^5 + 388960*a*b^9*x^(9/2) + 1575288*a^2*b^8*x^4 + 3818880*a^3*b^7*x^(7/2) + 6126120*a^4*b^6*x^3 + 6785856*a^5*b^5*x^(5/2) + 5250960*a^6*b^4*x^2 + 2800512*a^7*b^3*x^(3/2) + 984555*a^8*b^2*x + 205920*a^9*b*sqrt(x) + 19448*a^10)/x^9","A",0
2168,1,112,0,0.883756," ","integrate((a+b*x^(1/2))^10/x^11,x, algorithm=""maxima"")","-\frac{184756 \, b^{10} x^{5} + 1679600 \, a b^{9} x^{\frac{9}{2}} + 6928350 \, a^{2} b^{8} x^{4} + 17054400 \, a^{3} b^{7} x^{\frac{7}{2}} + 27713400 \, a^{4} b^{6} x^{3} + 31039008 \, a^{5} b^{5} x^{\frac{5}{2}} + 24249225 \, a^{6} b^{4} x^{2} + 13041600 \, a^{7} b^{3} x^{\frac{3}{2}} + 4618900 \, a^{8} b^{2} x + 972400 \, a^{9} b \sqrt{x} + 92378 \, a^{10}}{923780 \, x^{10}}"," ",0,"-1/923780*(184756*b^10*x^5 + 1679600*a*b^9*x^(9/2) + 6928350*a^2*b^8*x^4 + 17054400*a^3*b^7*x^(7/2) + 27713400*a^4*b^6*x^3 + 31039008*a^5*b^5*x^(5/2) + 24249225*a^6*b^4*x^2 + 13041600*a^7*b^3*x^(3/2) + 4618900*a^8*b^2*x + 972400*a^9*b*sqrt(x) + 92378*a^10)/x^10","A",0
2169,1,200,0,0.907583," ","integrate(x^5*(a+b*x^(1/2))^15,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{27}}{27 \, b^{12}} - \frac{11 \, {\left(b \sqrt{x} + a\right)}^{26} a}{13 \, b^{12}} + \frac{22 \, {\left(b \sqrt{x} + a\right)}^{25} a^{2}}{5 \, b^{12}} - \frac{55 \, {\left(b \sqrt{x} + a\right)}^{24} a^{3}}{4 \, b^{12}} + \frac{660 \, {\left(b \sqrt{x} + a\right)}^{23} a^{4}}{23 \, b^{12}} - \frac{42 \, {\left(b \sqrt{x} + a\right)}^{22} a^{5}}{b^{12}} + \frac{44 \, {\left(b \sqrt{x} + a\right)}^{21} a^{6}}{b^{12}} - \frac{33 \, {\left(b \sqrt{x} + a\right)}^{20} a^{7}}{b^{12}} + \frac{330 \, {\left(b \sqrt{x} + a\right)}^{19} a^{8}}{19 \, b^{12}} - \frac{55 \, {\left(b \sqrt{x} + a\right)}^{18} a^{9}}{9 \, b^{12}} + \frac{22 \, {\left(b \sqrt{x} + a\right)}^{17} a^{10}}{17 \, b^{12}} - \frac{{\left(b \sqrt{x} + a\right)}^{16} a^{11}}{8 \, b^{12}}"," ",0,"2/27*(b*sqrt(x) + a)^27/b^12 - 11/13*(b*sqrt(x) + a)^26*a/b^12 + 22/5*(b*sqrt(x) + a)^25*a^2/b^12 - 55/4*(b*sqrt(x) + a)^24*a^3/b^12 + 660/23*(b*sqrt(x) + a)^23*a^4/b^12 - 42*(b*sqrt(x) + a)^22*a^5/b^12 + 44*(b*sqrt(x) + a)^21*a^6/b^12 - 33*(b*sqrt(x) + a)^20*a^7/b^12 + 330/19*(b*sqrt(x) + a)^19*a^8/b^12 - 55/9*(b*sqrt(x) + a)^18*a^9/b^12 + 22/17*(b*sqrt(x) + a)^17*a^10/b^12 - 1/8*(b*sqrt(x) + a)^16*a^11/b^12","A",0
2170,1,166,0,0.925942," ","integrate(x^4*(a+b*x^(1/2))^15,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{25}}{25 \, b^{10}} - \frac{3 \, {\left(b \sqrt{x} + a\right)}^{24} a}{4 \, b^{10}} + \frac{72 \, {\left(b \sqrt{x} + a\right)}^{23} a^{2}}{23 \, b^{10}} - \frac{84 \, {\left(b \sqrt{x} + a\right)}^{22} a^{3}}{11 \, b^{10}} + \frac{12 \, {\left(b \sqrt{x} + a\right)}^{21} a^{4}}{b^{10}} - \frac{63 \, {\left(b \sqrt{x} + a\right)}^{20} a^{5}}{5 \, b^{10}} + \frac{168 \, {\left(b \sqrt{x} + a\right)}^{19} a^{6}}{19 \, b^{10}} - \frac{4 \, {\left(b \sqrt{x} + a\right)}^{18} a^{7}}{b^{10}} + \frac{18 \, {\left(b \sqrt{x} + a\right)}^{17} a^{8}}{17 \, b^{10}} - \frac{{\left(b \sqrt{x} + a\right)}^{16} a^{9}}{8 \, b^{10}}"," ",0,"2/25*(b*sqrt(x) + a)^25/b^10 - 3/4*(b*sqrt(x) + a)^24*a/b^10 + 72/23*(b*sqrt(x) + a)^23*a^2/b^10 - 84/11*(b*sqrt(x) + a)^22*a^3/b^10 + 12*(b*sqrt(x) + a)^21*a^4/b^10 - 63/5*(b*sqrt(x) + a)^20*a^5/b^10 + 168/19*(b*sqrt(x) + a)^19*a^6/b^10 - 4*(b*sqrt(x) + a)^18*a^7/b^10 + 18/17*(b*sqrt(x) + a)^17*a^8/b^10 - 1/8*(b*sqrt(x) + a)^16*a^9/b^10","A",0
2171,1,132,0,0.892741," ","integrate(x^3*(a+b*x^(1/2))^15,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{23}}{23 \, b^{8}} - \frac{7 \, {\left(b \sqrt{x} + a\right)}^{22} a}{11 \, b^{8}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}^{21} a^{2}}{b^{8}} - \frac{7 \, {\left(b \sqrt{x} + a\right)}^{20} a^{3}}{2 \, b^{8}} + \frac{70 \, {\left(b \sqrt{x} + a\right)}^{19} a^{4}}{19 \, b^{8}} - \frac{7 \, {\left(b \sqrt{x} + a\right)}^{18} a^{5}}{3 \, b^{8}} + \frac{14 \, {\left(b \sqrt{x} + a\right)}^{17} a^{6}}{17 \, b^{8}} - \frac{{\left(b \sqrt{x} + a\right)}^{16} a^{7}}{8 \, b^{8}}"," ",0,"2/23*(b*sqrt(x) + a)^23/b^8 - 7/11*(b*sqrt(x) + a)^22*a/b^8 + 2*(b*sqrt(x) + a)^21*a^2/b^8 - 7/2*(b*sqrt(x) + a)^20*a^3/b^8 + 70/19*(b*sqrt(x) + a)^19*a^4/b^8 - 7/3*(b*sqrt(x) + a)^18*a^5/b^8 + 14/17*(b*sqrt(x) + a)^17*a^6/b^8 - 1/8*(b*sqrt(x) + a)^16*a^7/b^8","A",0
2172,1,98,0,0.906211," ","integrate(x^2*(a+b*x^(1/2))^15,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{21}}{21 \, b^{6}} - \frac{{\left(b \sqrt{x} + a\right)}^{20} a}{2 \, b^{6}} + \frac{20 \, {\left(b \sqrt{x} + a\right)}^{19} a^{2}}{19 \, b^{6}} - \frac{10 \, {\left(b \sqrt{x} + a\right)}^{18} a^{3}}{9 \, b^{6}} + \frac{10 \, {\left(b \sqrt{x} + a\right)}^{17} a^{4}}{17 \, b^{6}} - \frac{{\left(b \sqrt{x} + a\right)}^{16} a^{5}}{8 \, b^{6}}"," ",0,"2/21*(b*sqrt(x) + a)^21/b^6 - 1/2*(b*sqrt(x) + a)^20*a/b^6 + 20/19*(b*sqrt(x) + a)^19*a^2/b^6 - 10/9*(b*sqrt(x) + a)^18*a^3/b^6 + 10/17*(b*sqrt(x) + a)^17*a^4/b^6 - 1/8*(b*sqrt(x) + a)^16*a^5/b^6","A",0
2173,1,64,0,0.892955," ","integrate(x*(a+b*x^(1/2))^15,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{19}}{19 \, b^{4}} - \frac{{\left(b \sqrt{x} + a\right)}^{18} a}{3 \, b^{4}} + \frac{6 \, {\left(b \sqrt{x} + a\right)}^{17} a^{2}}{17 \, b^{4}} - \frac{{\left(b \sqrt{x} + a\right)}^{16} a^{3}}{8 \, b^{4}}"," ",0,"2/19*(b*sqrt(x) + a)^19/b^4 - 1/3*(b*sqrt(x) + a)^18*a/b^4 + 6/17*(b*sqrt(x) + a)^17*a^2/b^4 - 1/8*(b*sqrt(x) + a)^16*a^3/b^4","A",0
2174,1,30,0,0.854692," ","integrate((a+b*x^(1/2))^15,x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{17}}{17 \, b^{2}} - \frac{{\left(b \sqrt{x} + a\right)}^{16} a}{8 \, b^{2}}"," ",0,"2/17*(b*sqrt(x) + a)^17/b^2 - 1/8*(b*sqrt(x) + a)^16*a/b^2","A",0
2175,1,163,0,0.859311," ","integrate((a+b*x^(1/2))^15/x,x, algorithm=""maxima"")","\frac{2}{15} \, b^{15} x^{\frac{15}{2}} + \frac{15}{7} \, a b^{14} x^{7} + \frac{210}{13} \, a^{2} b^{13} x^{\frac{13}{2}} + \frac{455}{6} \, a^{3} b^{12} x^{6} + \frac{2730}{11} \, a^{4} b^{11} x^{\frac{11}{2}} + \frac{3003}{5} \, a^{5} b^{10} x^{5} + \frac{10010}{9} \, a^{6} b^{9} x^{\frac{9}{2}} + \frac{6435}{4} \, a^{7} b^{8} x^{4} + \frac{12870}{7} \, a^{8} b^{7} x^{\frac{7}{2}} + \frac{5005}{3} \, a^{9} b^{6} x^{3} + \frac{6006}{5} \, a^{10} b^{5} x^{\frac{5}{2}} + \frac{1365}{2} \, a^{11} b^{4} x^{2} + \frac{910}{3} \, a^{12} b^{3} x^{\frac{3}{2}} + 105 \, a^{13} b^{2} x + a^{15} \log\left(x\right) + 30 \, a^{14} b \sqrt{x}"," ",0,"2/15*b^15*x^(15/2) + 15/7*a*b^14*x^7 + 210/13*a^2*b^13*x^(13/2) + 455/6*a^3*b^12*x^6 + 2730/11*a^4*b^11*x^(11/2) + 3003/5*a^5*b^10*x^5 + 10010/9*a^6*b^9*x^(9/2) + 6435/4*a^7*b^8*x^4 + 12870/7*a^8*b^7*x^(7/2) + 5005/3*a^9*b^6*x^3 + 6006/5*a^10*b^5*x^(5/2) + 1365/2*a^11*b^4*x^2 + 910/3*a^12*b^3*x^(3/2) + 105*a^13*b^2*x + a^15*log(x) + 30*a^14*b*sqrt(x)","A",0
2176,1,165,0,0.869725," ","integrate((a+b*x^(1/2))^15/x^2,x, algorithm=""maxima"")","\frac{2}{13} \, b^{15} x^{\frac{13}{2}} + \frac{5}{2} \, a b^{14} x^{6} + \frac{210}{11} \, a^{2} b^{13} x^{\frac{11}{2}} + 91 \, a^{3} b^{12} x^{5} + \frac{910}{3} \, a^{4} b^{11} x^{\frac{9}{2}} + \frac{3003}{4} \, a^{5} b^{10} x^{4} + 1430 \, a^{6} b^{9} x^{\frac{7}{2}} + 2145 \, a^{7} b^{8} x^{3} + 2574 \, a^{8} b^{7} x^{\frac{5}{2}} + \frac{5005}{2} \, a^{9} b^{6} x^{2} + 2002 \, a^{10} b^{5} x^{\frac{3}{2}} + 1365 \, a^{11} b^{4} x + 105 \, a^{13} b^{2} \log\left(x\right) + 910 \, a^{12} b^{3} \sqrt{x} - \frac{30 \, a^{14} b \sqrt{x} + a^{15}}{x}"," ",0,"2/13*b^15*x^(13/2) + 5/2*a*b^14*x^6 + 210/11*a^2*b^13*x^(11/2) + 91*a^3*b^12*x^5 + 910/3*a^4*b^11*x^(9/2) + 3003/4*a^5*b^10*x^4 + 1430*a^6*b^9*x^(7/2) + 2145*a^7*b^8*x^3 + 2574*a^8*b^7*x^(5/2) + 5005/2*a^9*b^6*x^2 + 2002*a^10*b^5*x^(3/2) + 1365*a^11*b^4*x + 105*a^13*b^2*log(x) + 910*a^12*b^3*sqrt(x) - (30*a^14*b*sqrt(x) + a^15)/x","A",0
2177,1,163,0,0.903355," ","integrate((a+b*x^(1/2))^15/x^3,x, algorithm=""maxima"")","\frac{2}{11} \, b^{15} x^{\frac{11}{2}} + 3 \, a b^{14} x^{5} + \frac{70}{3} \, a^{2} b^{13} x^{\frac{9}{2}} + \frac{455}{4} \, a^{3} b^{12} x^{4} + 390 \, a^{4} b^{11} x^{\frac{7}{2}} + 1001 \, a^{5} b^{10} x^{3} + 2002 \, a^{6} b^{9} x^{\frac{5}{2}} + \frac{6435}{2} \, a^{7} b^{8} x^{2} + 4290 \, a^{8} b^{7} x^{\frac{3}{2}} + 5005 \, a^{9} b^{6} x + 1365 \, a^{11} b^{4} \log\left(x\right) + 6006 \, a^{10} b^{5} \sqrt{x} - \frac{1820 \, a^{12} b^{3} x^{\frac{3}{2}} + 210 \, a^{13} b^{2} x + 20 \, a^{14} b \sqrt{x} + a^{15}}{2 \, x^{2}}"," ",0,"2/11*b^15*x^(11/2) + 3*a*b^14*x^5 + 70/3*a^2*b^13*x^(9/2) + 455/4*a^3*b^12*x^4 + 390*a^4*b^11*x^(7/2) + 1001*a^5*b^10*x^3 + 2002*a^6*b^9*x^(5/2) + 6435/2*a^7*b^8*x^2 + 4290*a^8*b^7*x^(3/2) + 5005*a^9*b^6*x + 1365*a^11*b^4*log(x) + 6006*a^10*b^5*sqrt(x) - 1/2*(1820*a^12*b^3*x^(3/2) + 210*a^13*b^2*x + 20*a^14*b*sqrt(x) + a^15)/x^2","A",0
2178,1,165,0,0.898270," ","integrate((a+b*x^(1/2))^15/x^4,x, algorithm=""maxima"")","\frac{2}{9} \, b^{15} x^{\frac{9}{2}} + \frac{15}{4} \, a b^{14} x^{4} + 30 \, a^{2} b^{13} x^{\frac{7}{2}} + \frac{455}{3} \, a^{3} b^{12} x^{3} + 546 \, a^{4} b^{11} x^{\frac{5}{2}} + \frac{3003}{2} \, a^{5} b^{10} x^{2} + \frac{10010}{3} \, a^{6} b^{9} x^{\frac{3}{2}} + 6435 \, a^{7} b^{8} x + 5005 \, a^{9} b^{6} \log\left(x\right) + 12870 \, a^{8} b^{7} \sqrt{x} - \frac{36036 \, a^{10} b^{5} x^{\frac{5}{2}} + 8190 \, a^{11} b^{4} x^{2} + 1820 \, a^{12} b^{3} x^{\frac{3}{2}} + 315 \, a^{13} b^{2} x + 36 \, a^{14} b \sqrt{x} + 2 \, a^{15}}{6 \, x^{3}}"," ",0,"2/9*b^15*x^(9/2) + 15/4*a*b^14*x^4 + 30*a^2*b^13*x^(7/2) + 455/3*a^3*b^12*x^3 + 546*a^4*b^11*x^(5/2) + 3003/2*a^5*b^10*x^2 + 10010/3*a^6*b^9*x^(3/2) + 6435*a^7*b^8*x + 5005*a^9*b^6*log(x) + 12870*a^8*b^7*sqrt(x) - 1/6*(36036*a^10*b^5*x^(5/2) + 8190*a^11*b^4*x^2 + 1820*a^12*b^3*x^(3/2) + 315*a^13*b^2*x + 36*a^14*b*sqrt(x) + 2*a^15)/x^3","A",0
2179,1,165,0,0.905859," ","integrate((a+b*x^(1/2))^15/x^6,x, algorithm=""maxima"")","\frac{2}{5} \, b^{15} x^{\frac{5}{2}} + \frac{15}{2} \, a b^{14} x^{2} + 70 \, a^{2} b^{13} x^{\frac{3}{2}} + 455 \, a^{3} b^{12} x + 3003 \, a^{5} b^{10} \log\left(x\right) + 2730 \, a^{4} b^{11} \sqrt{x} - \frac{600600 \, a^{6} b^{9} x^{\frac{9}{2}} + 386100 \, a^{7} b^{8} x^{4} + 257400 \, a^{8} b^{7} x^{\frac{7}{2}} + 150150 \, a^{9} b^{6} x^{3} + 72072 \, a^{10} b^{5} x^{\frac{5}{2}} + 27300 \, a^{11} b^{4} x^{2} + 7800 \, a^{12} b^{3} x^{\frac{3}{2}} + 1575 \, a^{13} b^{2} x + 200 \, a^{14} b \sqrt{x} + 12 \, a^{15}}{60 \, x^{5}}"," ",0,"2/5*b^15*x^(5/2) + 15/2*a*b^14*x^2 + 70*a^2*b^13*x^(3/2) + 455*a^3*b^12*x + 3003*a^5*b^10*log(x) + 2730*a^4*b^11*sqrt(x) - 1/60*(600600*a^6*b^9*x^(9/2) + 386100*a^7*b^8*x^4 + 257400*a^8*b^7*x^(7/2) + 150150*a^9*b^6*x^3 + 72072*a^10*b^5*x^(5/2) + 27300*a^11*b^4*x^2 + 7800*a^12*b^3*x^(3/2) + 1575*a^13*b^2*x + 200*a^14*b*sqrt(x) + 12*a^15)/x^5","A",0
2180,1,165,0,0.904746," ","integrate((a+b*x^(1/2))^15/x^7,x, algorithm=""maxima"")","\frac{2}{3} \, b^{15} x^{\frac{3}{2}} + 15 \, a b^{14} x + 455 \, a^{3} b^{12} \log\left(x\right) + 210 \, a^{2} b^{13} \sqrt{x} - \frac{1081080 \, a^{4} b^{11} x^{\frac{11}{2}} + 1189188 \, a^{5} b^{10} x^{5} + 1321320 \, a^{6} b^{9} x^{\frac{9}{2}} + 1274130 \, a^{7} b^{8} x^{4} + 1019304 \, a^{8} b^{7} x^{\frac{7}{2}} + 660660 \, a^{9} b^{6} x^{3} + 339768 \, a^{10} b^{5} x^{\frac{5}{2}} + 135135 \, a^{11} b^{4} x^{2} + 40040 \, a^{12} b^{3} x^{\frac{3}{2}} + 8316 \, a^{13} b^{2} x + 1080 \, a^{14} b \sqrt{x} + 66 \, a^{15}}{396 \, x^{6}}"," ",0,"2/3*b^15*x^(3/2) + 15*a*b^14*x + 455*a^3*b^12*log(x) + 210*a^2*b^13*sqrt(x) - 1/396*(1081080*a^4*b^11*x^(11/2) + 1189188*a^5*b^10*x^5 + 1321320*a^6*b^9*x^(9/2) + 1274130*a^7*b^8*x^4 + 1019304*a^8*b^7*x^(7/2) + 660660*a^9*b^6*x^3 + 339768*a^10*b^5*x^(5/2) + 135135*a^11*b^4*x^2 + 40040*a^12*b^3*x^(3/2) + 8316*a^13*b^2*x + 1080*a^14*b*sqrt(x) + 66*a^15)/x^6","A",0
2181,1,167,0,0.871834," ","integrate((a+b*x^(1/2))^15/x^8,x, algorithm=""maxima"")","15 \, a b^{14} \log\left(x\right) + 2 \, b^{15} \sqrt{x} - \frac{2522520 \, a^{2} b^{13} x^{\frac{13}{2}} + 5465460 \, a^{3} b^{12} x^{6} + 10930920 \, a^{4} b^{11} x^{\frac{11}{2}} + 18036018 \, a^{5} b^{10} x^{5} + 24048024 \, a^{6} b^{9} x^{\frac{9}{2}} + 25765740 \, a^{7} b^{8} x^{4} + 22084920 \, a^{8} b^{7} x^{\frac{7}{2}} + 15030015 \, a^{9} b^{6} x^{3} + 8016008 \, a^{10} b^{5} x^{\frac{5}{2}} + 3279276 \, a^{11} b^{4} x^{2} + 993720 \, a^{12} b^{3} x^{\frac{3}{2}} + 210210 \, a^{13} b^{2} x + 27720 \, a^{14} b \sqrt{x} + 1716 \, a^{15}}{12012 \, x^{7}}"," ",0,"15*a*b^14*log(x) + 2*b^15*sqrt(x) - 1/12012*(2522520*a^2*b^13*x^(13/2) + 5465460*a^3*b^12*x^6 + 10930920*a^4*b^11*x^(11/2) + 18036018*a^5*b^10*x^5 + 24048024*a^6*b^9*x^(9/2) + 25765740*a^7*b^8*x^4 + 22084920*a^8*b^7*x^(7/2) + 15030015*a^9*b^6*x^3 + 8016008*a^10*b^5*x^(5/2) + 3279276*a^11*b^4*x^2 + 993720*a^12*b^3*x^(3/2) + 210210*a^13*b^2*x + 27720*a^14*b*sqrt(x) + 1716*a^15)/x^7","A",0
2182,1,165,0,0.958137," ","integrate((a+b*x^(1/2))^15/x^9,x, algorithm=""maxima"")","-\frac{16 \, b^{15} x^{\frac{15}{2}} + 120 \, a b^{14} x^{7} + 560 \, a^{2} b^{13} x^{\frac{13}{2}} + 1820 \, a^{3} b^{12} x^{6} + 4368 \, a^{4} b^{11} x^{\frac{11}{2}} + 8008 \, a^{5} b^{10} x^{5} + 11440 \, a^{6} b^{9} x^{\frac{9}{2}} + 12870 \, a^{7} b^{8} x^{4} + 11440 \, a^{8} b^{7} x^{\frac{7}{2}} + 8008 \, a^{9} b^{6} x^{3} + 4368 \, a^{10} b^{5} x^{\frac{5}{2}} + 1820 \, a^{11} b^{4} x^{2} + 560 \, a^{12} b^{3} x^{\frac{3}{2}} + 120 \, a^{13} b^{2} x + 16 \, a^{14} b \sqrt{x} + a^{15}}{8 \, x^{8}}"," ",0,"-1/8*(16*b^15*x^(15/2) + 120*a*b^14*x^7 + 560*a^2*b^13*x^(13/2) + 1820*a^3*b^12*x^6 + 4368*a^4*b^11*x^(11/2) + 8008*a^5*b^10*x^5 + 11440*a^6*b^9*x^(9/2) + 12870*a^7*b^8*x^4 + 11440*a^8*b^7*x^(7/2) + 8008*a^9*b^6*x^3 + 4368*a^10*b^5*x^(5/2) + 1820*a^11*b^4*x^2 + 560*a^12*b^3*x^(3/2) + 120*a^13*b^2*x + 16*a^14*b*sqrt(x) + a^15)/x^8","B",0
2183,1,167,0,0.907302," ","integrate((a+b*x^(1/2))^15/x^10,x, algorithm=""maxima"")","-\frac{816 \, b^{15} x^{\frac{15}{2}} + 9180 \, a b^{14} x^{7} + 51408 \, a^{2} b^{13} x^{\frac{13}{2}} + 185640 \, a^{3} b^{12} x^{6} + 477360 \, a^{4} b^{11} x^{\frac{11}{2}} + 918918 \, a^{5} b^{10} x^{5} + 1361360 \, a^{6} b^{9} x^{\frac{9}{2}} + 1575288 \, a^{7} b^{8} x^{4} + 1432080 \, a^{8} b^{7} x^{\frac{7}{2}} + 1021020 \, a^{9} b^{6} x^{3} + 565488 \, a^{10} b^{5} x^{\frac{5}{2}} + 238680 \, a^{11} b^{4} x^{2} + 74256 \, a^{12} b^{3} x^{\frac{3}{2}} + 16065 \, a^{13} b^{2} x + 2160 \, a^{14} b \sqrt{x} + 136 \, a^{15}}{1224 \, x^{9}}"," ",0,"-1/1224*(816*b^15*x^(15/2) + 9180*a*b^14*x^7 + 51408*a^2*b^13*x^(13/2) + 185640*a^3*b^12*x^6 + 477360*a^4*b^11*x^(11/2) + 918918*a^5*b^10*x^5 + 1361360*a^6*b^9*x^(9/2) + 1575288*a^7*b^8*x^4 + 1432080*a^8*b^7*x^(7/2) + 1021020*a^9*b^6*x^3 + 565488*a^10*b^5*x^(5/2) + 238680*a^11*b^4*x^2 + 74256*a^12*b^3*x^(3/2) + 16065*a^13*b^2*x + 2160*a^14*b*sqrt(x) + 136*a^15)/x^9","B",0
2184,1,167,0,0.867036," ","integrate((a+b*x^(1/2))^15/x^11,x, algorithm=""maxima"")","-\frac{15504 \, b^{15} x^{\frac{15}{2}} + 193800 \, a b^{14} x^{7} + 1162800 \, a^{2} b^{13} x^{\frac{13}{2}} + 4408950 \, a^{3} b^{12} x^{6} + 11757200 \, a^{4} b^{11} x^{\frac{11}{2}} + 23279256 \, a^{5} b^{10} x^{5} + 35271600 \, a^{6} b^{9} x^{\frac{9}{2}} + 41570100 \, a^{7} b^{8} x^{4} + 38372400 \, a^{8} b^{7} x^{\frac{7}{2}} + 27713400 \, a^{9} b^{6} x^{3} + 15519504 \, a^{10} b^{5} x^{\frac{5}{2}} + 6613425 \, a^{11} b^{4} x^{2} + 2074800 \, a^{12} b^{3} x^{\frac{3}{2}} + 452200 \, a^{13} b^{2} x + 61200 \, a^{14} b \sqrt{x} + 3876 \, a^{15}}{38760 \, x^{10}}"," ",0,"-1/38760*(15504*b^15*x^(15/2) + 193800*a*b^14*x^7 + 1162800*a^2*b^13*x^(13/2) + 4408950*a^3*b^12*x^6 + 11757200*a^4*b^11*x^(11/2) + 23279256*a^5*b^10*x^5 + 35271600*a^6*b^9*x^(9/2) + 41570100*a^7*b^8*x^4 + 38372400*a^8*b^7*x^(7/2) + 27713400*a^9*b^6*x^3 + 15519504*a^10*b^5*x^(5/2) + 6613425*a^11*b^4*x^2 + 2074800*a^12*b^3*x^(3/2) + 452200*a^13*b^2*x + 61200*a^14*b*sqrt(x) + 3876*a^15)/x^10","A",0
2185,1,167,0,0.939089," ","integrate((a+b*x^(1/2))^15/x^12,x, algorithm=""maxima"")","-\frac{170544 \, b^{15} x^{\frac{15}{2}} + 2238390 \, a b^{14} x^{7} + 13927760 \, a^{2} b^{13} x^{\frac{13}{2}} + 54318264 \, a^{3} b^{12} x^{6} + 148140720 \, a^{4} b^{11} x^{\frac{11}{2}} + 298750452 \, a^{5} b^{10} x^{5} + 459616080 \, a^{6} b^{9} x^{\frac{9}{2}} + 548725320 \, a^{7} b^{8} x^{4} + 512143632 \, a^{8} b^{7} x^{\frac{7}{2}} + 373438065 \, a^{9} b^{6} x^{3} + 210882672 \, a^{10} b^{5} x^{\frac{5}{2}} + 90530440 \, a^{11} b^{4} x^{2} + 28588560 \, a^{12} b^{3} x^{\frac{3}{2}} + 6267492 \, a^{13} b^{2} x + 852720 \, a^{14} b \sqrt{x} + 54264 \, a^{15}}{596904 \, x^{11}}"," ",0,"-1/596904*(170544*b^15*x^(15/2) + 2238390*a*b^14*x^7 + 13927760*a^2*b^13*x^(13/2) + 54318264*a^3*b^12*x^6 + 148140720*a^4*b^11*x^(11/2) + 298750452*a^5*b^10*x^5 + 459616080*a^6*b^9*x^(9/2) + 548725320*a^7*b^8*x^4 + 512143632*a^8*b^7*x^(7/2) + 373438065*a^9*b^6*x^3 + 210882672*a^10*b^5*x^(5/2) + 90530440*a^11*b^4*x^2 + 28588560*a^12*b^3*x^(3/2) + 6267492*a^13*b^2*x + 852720*a^14*b*sqrt(x) + 54264*a^15)/x^11","A",0
2186,1,167,0,0.828150," ","integrate((a+b*x^(1/2))^15/x^13,x, algorithm=""maxima"")","-\frac{1307504 \, b^{15} x^{\frac{15}{2}} + 17651304 \, a b^{14} x^{7} + 112326480 \, a^{2} b^{13} x^{\frac{13}{2}} + 446185740 \, a^{3} b^{12} x^{6} + 1235591280 \, a^{4} b^{11} x^{\frac{11}{2}} + 2524136472 \, a^{5} b^{10} x^{5} + 3926434512 \, a^{6} b^{9} x^{\frac{9}{2}} + 4732755885 \, a^{7} b^{8} x^{4} + 4454358480 \, a^{8} b^{7} x^{\frac{7}{2}} + 3272028760 \, a^{9} b^{6} x^{3} + 1859890032 \, a^{10} b^{5} x^{\frac{5}{2}} + 803134332 \, a^{11} b^{4} x^{2} + 254963280 \, a^{12} b^{3} x^{\frac{3}{2}} + 56163240 \, a^{13} b^{2} x + 7674480 \, a^{14} b \sqrt{x} + 490314 \, a^{15}}{5883768 \, x^{12}}"," ",0,"-1/5883768*(1307504*b^15*x^(15/2) + 17651304*a*b^14*x^7 + 112326480*a^2*b^13*x^(13/2) + 446185740*a^3*b^12*x^6 + 1235591280*a^4*b^11*x^(11/2) + 2524136472*a^5*b^10*x^5 + 3926434512*a^6*b^9*x^(9/2) + 4732755885*a^7*b^8*x^4 + 4454358480*a^8*b^7*x^(7/2) + 3272028760*a^9*b^6*x^3 + 1859890032*a^10*b^5*x^(5/2) + 803134332*a^11*b^4*x^2 + 254963280*a^12*b^3*x^(3/2) + 56163240*a^13*b^2*x + 7674480*a^14*b*sqrt(x) + 490314*a^15)/x^12","A",0
2187,1,167,0,0.962980," ","integrate((a+b*x^(1/2))^15/x^14,x, algorithm=""maxima"")","-\frac{7726160 \, b^{15} x^{\frac{15}{2}} + 106234700 \, a b^{14} x^{7} + 686439600 \, a^{2} b^{13} x^{\frac{13}{2}} + 2762102200 \, a^{3} b^{12} x^{6} + 7733886160 \, a^{4} b^{11} x^{\frac{11}{2}} + 15951140205 \, a^{5} b^{10} x^{5} + 25021396400 \, a^{6} b^{9} x^{\frac{9}{2}} + 30383124200 \, a^{7} b^{8} x^{4} + 28784012400 \, a^{8} b^{7} x^{\frac{7}{2}} + 21268186940 \, a^{9} b^{6} x^{3} + 12153249680 \, a^{10} b^{5} x^{\frac{5}{2}} + 5273104200 \, a^{11} b^{4} x^{2} + 1681279600 \, a^{12} b^{3} x^{\frac{3}{2}} + 371821450 \, a^{13} b^{2} x + 50992656 \, a^{14} b \sqrt{x} + 3268760 \, a^{15}}{42493880 \, x^{13}}"," ",0,"-1/42493880*(7726160*b^15*x^(15/2) + 106234700*a*b^14*x^7 + 686439600*a^2*b^13*x^(13/2) + 2762102200*a^3*b^12*x^6 + 7733886160*a^4*b^11*x^(11/2) + 15951140205*a^5*b^10*x^5 + 25021396400*a^6*b^9*x^(9/2) + 30383124200*a^7*b^8*x^4 + 28784012400*a^8*b^7*x^(7/2) + 21268186940*a^9*b^6*x^3 + 12153249680*a^10*b^5*x^(5/2) + 5273104200*a^11*b^4*x^2 + 1681279600*a^12*b^3*x^(3/2) + 371821450*a^13*b^2*x + 50992656*a^14*b*sqrt(x) + 3268760*a^15)/x^13","A",0
2188,1,167,0,0.901466," ","integrate((a+b*x^(1/2))^15/x^15,x, algorithm=""maxima"")","-\frac{37442160 \, b^{15} x^{\frac{15}{2}} + 521515800 \, a b^{14} x^{7} + 3407236560 \, a^{2} b^{13} x^{\frac{13}{2}} + 13841898525 \, a^{3} b^{12} x^{6} + 39083007600 \, a^{4} b^{11} x^{\frac{11}{2}} + 81205804680 \, a^{5} b^{10} x^{5} + 128219691600 \, a^{6} b^{9} x^{\frac{9}{2}} + 156611194740 \, a^{7} b^{8} x^{4} + 149153518800 \, a^{8} b^{7} x^{\frac{7}{2}} + 110735188200 \, a^{9} b^{6} x^{3} + 63552368880 \, a^{10} b^{5} x^{\frac{5}{2}} + 27683797050 \, a^{11} b^{4} x^{2} + 8858815056 \, a^{12} b^{3} x^{\frac{3}{2}} + 1965713400 \, a^{13} b^{2} x + 270415600 \, a^{14} b \sqrt{x} + 17383860 \, a^{15}}{243374040 \, x^{14}}"," ",0,"-1/243374040*(37442160*b^15*x^(15/2) + 521515800*a*b^14*x^7 + 3407236560*a^2*b^13*x^(13/2) + 13841898525*a^3*b^12*x^6 + 39083007600*a^4*b^11*x^(11/2) + 81205804680*a^5*b^10*x^5 + 128219691600*a^6*b^9*x^(9/2) + 156611194740*a^7*b^8*x^4 + 149153518800*a^8*b^7*x^(7/2) + 110735188200*a^9*b^6*x^3 + 63552368880*a^10*b^5*x^(5/2) + 27683797050*a^11*b^4*x^2 + 8858815056*a^12*b^3*x^(3/2) + 1965713400*a^13*b^2*x + 270415600*a^14*b*sqrt(x) + 17383860*a^15)/x^14","A",0
2189,1,167,0,0.836079," ","integrate((a+b*x^(1/2))^15/x^16,x, algorithm=""maxima"")","-\frac{155117520 \, b^{15} x^{\frac{15}{2}} + 2181340125 \, a b^{14} x^{7} + 14371182000 \, a^{2} b^{13} x^{\frac{13}{2}} + 58815393000 \, a^{3} b^{12} x^{6} + 167159538000 \, a^{4} b^{11} x^{\frac{11}{2}} + 349363434420 \, a^{5} b^{10} x^{5} + 554545134000 \, a^{6} b^{9} x^{\frac{9}{2}} + 680578119000 \, a^{7} b^{8} x^{4} + 650987766000 \, a^{8} b^{7} x^{\frac{7}{2}} + 485226992250 \, a^{9} b^{6} x^{3} + 279490747536 \, a^{10} b^{5} x^{\frac{5}{2}} + 122155047000 \, a^{11} b^{4} x^{2} + 39210262000 \, a^{12} b^{3} x^{\frac{3}{2}} + 8725360500 \, a^{13} b^{2} x + 1203498000 \, a^{14} b \sqrt{x} + 77558760 \, a^{15}}{1163381400 \, x^{15}}"," ",0,"-1/1163381400*(155117520*b^15*x^(15/2) + 2181340125*a*b^14*x^7 + 14371182000*a^2*b^13*x^(13/2) + 58815393000*a^3*b^12*x^6 + 167159538000*a^4*b^11*x^(11/2) + 349363434420*a^5*b^10*x^5 + 554545134000*a^6*b^9*x^(9/2) + 680578119000*a^7*b^8*x^4 + 650987766000*a^8*b^7*x^(7/2) + 485226992250*a^9*b^6*x^3 + 279490747536*a^10*b^5*x^(5/2) + 122155047000*a^11*b^4*x^2 + 39210262000*a^12*b^3*x^(3/2) + 8725360500*a^13*b^2*x + 1203498000*a^14*b*sqrt(x) + 77558760*a^15)/x^15","A",0
2190,1,167,0,0.865142," ","integrate((a+b*x^(1/2))^15/x^17,x, algorithm=""maxima"")","-\frac{565722720 \, b^{15} x^{\frac{15}{2}} + 8014405200 \, a b^{14} x^{7} + 53148160800 \, a^{2} b^{13} x^{\frac{13}{2}} + 218793261960 \, a^{3} b^{12} x^{6} + 625123605600 \, a^{4} b^{11} x^{\frac{11}{2}} + 1312759571760 \, a^{5} b^{10} x^{5} + 2092805114400 \, a^{6} b^{9} x^{\frac{9}{2}} + 2578634873100 \, a^{7} b^{8} x^{4} + 2475489478176 \, a^{8} b^{7} x^{\frac{7}{2}} + 1851327601200 \, a^{9} b^{6} x^{3} + 1069655947360 \, a^{10} b^{5} x^{\frac{5}{2}} + 468842704200 \, a^{11} b^{4} x^{2} + 150891904800 \, a^{12} b^{3} x^{\frac{3}{2}} + 33660501840 \, a^{13} b^{2} x + 4653525600 \, a^{14} b \sqrt{x} + 300540195 \, a^{15}}{4808643120 \, x^{16}}"," ",0,"-1/4808643120*(565722720*b^15*x^(15/2) + 8014405200*a*b^14*x^7 + 53148160800*a^2*b^13*x^(13/2) + 218793261960*a^3*b^12*x^6 + 625123605600*a^4*b^11*x^(11/2) + 1312759571760*a^5*b^10*x^5 + 2092805114400*a^6*b^9*x^(9/2) + 2578634873100*a^7*b^8*x^4 + 2475489478176*a^8*b^7*x^(7/2) + 1851327601200*a^9*b^6*x^3 + 1069655947360*a^10*b^5*x^(5/2) + 468842704200*a^11*b^4*x^2 + 150891904800*a^12*b^3*x^(3/2) + 33660501840*a^13*b^2*x + 4653525600*a^14*b*sqrt(x) + 300540195*a^15)/x^16","A",0
2191,1,129,0,0.877487," ","integrate(x^3/(a+b*x^(1/2)),x, algorithm=""maxima"")","-\frac{2 \, a^{7} \log\left(b \sqrt{x} + a\right)}{b^{8}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}^{7}}{7 \, b^{8}} - \frac{7 \, {\left(b \sqrt{x} + a\right)}^{6} a}{3 \, b^{8}} + \frac{42 \, {\left(b \sqrt{x} + a\right)}^{5} a^{2}}{5 \, b^{8}} - \frac{35 \, {\left(b \sqrt{x} + a\right)}^{4} a^{3}}{2 \, b^{8}} + \frac{70 \, {\left(b \sqrt{x} + a\right)}^{3} a^{4}}{3 \, b^{8}} - \frac{21 \, {\left(b \sqrt{x} + a\right)}^{2} a^{5}}{b^{8}} + \frac{14 \, {\left(b \sqrt{x} + a\right)} a^{6}}{b^{8}}"," ",0,"-2*a^7*log(b*sqrt(x) + a)/b^8 + 2/7*(b*sqrt(x) + a)^7/b^8 - 7/3*(b*sqrt(x) + a)^6*a/b^8 + 42/5*(b*sqrt(x) + a)^5*a^2/b^8 - 35/2*(b*sqrt(x) + a)^4*a^3/b^8 + 70/3*(b*sqrt(x) + a)^3*a^4/b^8 - 21*(b*sqrt(x) + a)^2*a^5/b^8 + 14*(b*sqrt(x) + a)*a^6/b^8","A",0
2192,1,95,0,0.856403," ","integrate(x^2/(a+b*x^(1/2)),x, algorithm=""maxima"")","-\frac{2 \, a^{5} \log\left(b \sqrt{x} + a\right)}{b^{6}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}^{5}}{5 \, b^{6}} - \frac{5 \, {\left(b \sqrt{x} + a\right)}^{4} a}{2 \, b^{6}} + \frac{20 \, {\left(b \sqrt{x} + a\right)}^{3} a^{2}}{3 \, b^{6}} - \frac{10 \, {\left(b \sqrt{x} + a\right)}^{2} a^{3}}{b^{6}} + \frac{10 \, {\left(b \sqrt{x} + a\right)} a^{4}}{b^{6}}"," ",0,"-2*a^5*log(b*sqrt(x) + a)/b^6 + 2/5*(b*sqrt(x) + a)^5/b^6 - 5/2*(b*sqrt(x) + a)^4*a/b^6 + 20/3*(b*sqrt(x) + a)^3*a^2/b^6 - 10*(b*sqrt(x) + a)^2*a^3/b^6 + 10*(b*sqrt(x) + a)*a^4/b^6","A",0
2193,1,61,0,0.772391," ","integrate(x/(a+b*x^(1/2)),x, algorithm=""maxima"")","-\frac{2 \, a^{3} \log\left(b \sqrt{x} + a\right)}{b^{4}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}^{3}}{3 \, b^{4}} - \frac{3 \, {\left(b \sqrt{x} + a\right)}^{2} a}{b^{4}} + \frac{6 \, {\left(b \sqrt{x} + a\right)} a^{2}}{b^{4}}"," ",0,"-2*a^3*log(b*sqrt(x) + a)/b^4 + 2/3*(b*sqrt(x) + a)^3/b^4 - 3*(b*sqrt(x) + a)^2*a/b^4 + 6*(b*sqrt(x) + a)*a^2/b^4","A",0
2194,1,27,0,0.924649," ","integrate(1/(a+b*x^(1/2)),x, algorithm=""maxima"")","-\frac{2 \, a \log\left(b \sqrt{x} + a\right)}{b^{2}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}}{b^{2}}"," ",0,"-2*a*log(b*sqrt(x) + a)/b^2 + 2*(b*sqrt(x) + a)/b^2","A",0
2195,1,20,0,0.888173," ","integrate(1/x/(a+b*x^(1/2)),x, algorithm=""maxima"")","-\frac{2 \, \log\left(b \sqrt{x} + a\right)}{a} + \frac{\log\left(x\right)}{a}"," ",0,"-2*log(b*sqrt(x) + a)/a + log(x)/a","A",0
2196,1,43,0,0.927260," ","integrate(1/x^2/(a+b*x^(1/2)),x, algorithm=""maxima"")","-\frac{2 \, b^{2} \log\left(b \sqrt{x} + a\right)}{a^{3}} + \frac{b^{2} \log\left(x\right)}{a^{3}} + \frac{2 \, b \sqrt{x} - a}{a^{2} x}"," ",0,"-2*b^2*log(b*sqrt(x) + a)/a^3 + b^2*log(x)/a^3 + (2*b*sqrt(x) - a)/(a^2*x)","A",0
2197,1,64,0,0.852339," ","integrate(1/x^3/(a+b*x^(1/2)),x, algorithm=""maxima"")","-\frac{2 \, b^{4} \log\left(b \sqrt{x} + a\right)}{a^{5}} + \frac{b^{4} \log\left(x\right)}{a^{5}} + \frac{12 \, b^{3} x^{\frac{3}{2}} - 6 \, a b^{2} x + 4 \, a^{2} b \sqrt{x} - 3 \, a^{3}}{6 \, a^{4} x^{2}}"," ",0,"-2*b^4*log(b*sqrt(x) + a)/a^5 + b^4*log(x)/a^5 + 1/6*(12*b^3*x^(3/2) - 6*a*b^2*x + 4*a^2*b*sqrt(x) - 3*a^3)/(a^4*x^2)","A",0
2198,1,86,0,0.916840," ","integrate(1/x^4/(a+b*x^(1/2)),x, algorithm=""maxima"")","-\frac{2 \, b^{6} \log\left(b \sqrt{x} + a\right)}{a^{7}} + \frac{b^{6} \log\left(x\right)}{a^{7}} + \frac{60 \, b^{5} x^{\frac{5}{2}} - 30 \, a b^{4} x^{2} + 20 \, a^{2} b^{3} x^{\frac{3}{2}} - 15 \, a^{3} b^{2} x + 12 \, a^{4} b \sqrt{x} - 10 \, a^{5}}{30 \, a^{6} x^{3}}"," ",0,"-2*b^6*log(b*sqrt(x) + a)/a^7 + b^6*log(x)/a^7 + 1/30*(60*b^5*x^(5/2) - 30*a*b^4*x^2 + 20*a^2*b^3*x^(3/2) - 15*a^3*b^2*x + 12*a^4*b*sqrt(x) - 10*a^5)/(a^6*x^3)","A",0
2199,1,129,0,0.910865," ","integrate(x^3/(a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{14 \, a^{6} \log\left(b \sqrt{x} + a\right)}{b^{8}} + \frac{{\left(b \sqrt{x} + a\right)}^{6}}{3 \, b^{8}} - \frac{14 \, {\left(b \sqrt{x} + a\right)}^{5} a}{5 \, b^{8}} + \frac{21 \, {\left(b \sqrt{x} + a\right)}^{4} a^{2}}{2 \, b^{8}} - \frac{70 \, {\left(b \sqrt{x} + a\right)}^{3} a^{3}}{3 \, b^{8}} + \frac{35 \, {\left(b \sqrt{x} + a\right)}^{2} a^{4}}{b^{8}} - \frac{42 \, {\left(b \sqrt{x} + a\right)} a^{5}}{b^{8}} + \frac{2 \, a^{7}}{{\left(b \sqrt{x} + a\right)} b^{8}}"," ",0,"14*a^6*log(b*sqrt(x) + a)/b^8 + 1/3*(b*sqrt(x) + a)^6/b^8 - 14/5*(b*sqrt(x) + a)^5*a/b^8 + 21/2*(b*sqrt(x) + a)^4*a^2/b^8 - 70/3*(b*sqrt(x) + a)^3*a^3/b^8 + 35*(b*sqrt(x) + a)^2*a^4/b^8 - 42*(b*sqrt(x) + a)*a^5/b^8 + 2*a^7/((b*sqrt(x) + a)*b^8)","A",0
2200,1,95,0,0.891539," ","integrate(x^2/(a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{10 \, a^{4} \log\left(b \sqrt{x} + a\right)}{b^{6}} + \frac{{\left(b \sqrt{x} + a\right)}^{4}}{2 \, b^{6}} - \frac{10 \, {\left(b \sqrt{x} + a\right)}^{3} a}{3 \, b^{6}} + \frac{10 \, {\left(b \sqrt{x} + a\right)}^{2} a^{2}}{b^{6}} - \frac{20 \, {\left(b \sqrt{x} + a\right)} a^{3}}{b^{6}} + \frac{2 \, a^{5}}{{\left(b \sqrt{x} + a\right)} b^{6}}"," ",0,"10*a^4*log(b*sqrt(x) + a)/b^6 + 1/2*(b*sqrt(x) + a)^4/b^6 - 10/3*(b*sqrt(x) + a)^3*a/b^6 + 10*(b*sqrt(x) + a)^2*a^2/b^6 - 20*(b*sqrt(x) + a)*a^3/b^6 + 2*a^5/((b*sqrt(x) + a)*b^6)","A",0
2201,1,60,0,0.852487," ","integrate(x/(a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{6 \, a^{2} \log\left(b \sqrt{x} + a\right)}{b^{4}} + \frac{{\left(b \sqrt{x} + a\right)}^{2}}{b^{4}} - \frac{6 \, {\left(b \sqrt{x} + a\right)} a}{b^{4}} + \frac{2 \, a^{3}}{{\left(b \sqrt{x} + a\right)} b^{4}}"," ",0,"6*a^2*log(b*sqrt(x) + a)/b^4 + (b*sqrt(x) + a)^2/b^4 - 6*(b*sqrt(x) + a)*a/b^4 + 2*a^3/((b*sqrt(x) + a)*b^4)","A",0
2202,1,29,0,0.879679," ","integrate(1/(a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{2 \, \log\left(b \sqrt{x} + a\right)}{b^{2}} + \frac{2 \, a}{{\left(b \sqrt{x} + a\right)} b^{2}}"," ",0,"2*log(b*sqrt(x) + a)/b^2 + 2*a/((b*sqrt(x) + a)*b^2)","A",0
2203,1,34,0,0.880679," ","integrate(1/x/(a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{2}{a b \sqrt{x} + a^{2}} - \frac{2 \, \log\left(b \sqrt{x} + a\right)}{a^{2}} + \frac{\log\left(x\right)}{a^{2}}"," ",0,"2/(a*b*sqrt(x) + a^2) - 2*log(b*sqrt(x) + a)/a^2 + log(x)/a^2","A",0
2204,1,63,0,0.912164," ","integrate(1/x^2/(a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{6 \, b^{2} x + 3 \, a b \sqrt{x} - a^{2}}{a^{3} b x^{\frac{3}{2}} + a^{4} x} - \frac{6 \, b^{2} \log\left(b \sqrt{x} + a\right)}{a^{4}} + \frac{3 \, b^{2} \log\left(x\right)}{a^{4}}"," ",0,"(6*b^2*x + 3*a*b*sqrt(x) - a^2)/(a^3*b*x^(3/2) + a^4*x) - 6*b^2*log(b*sqrt(x) + a)/a^4 + 3*b^2*log(x)/a^4","A",0
2205,1,88,0,0.905301," ","integrate(1/x^3/(a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{60 \, b^{4} x^{2} + 30 \, a b^{3} x^{\frac{3}{2}} - 10 \, a^{2} b^{2} x + 5 \, a^{3} b \sqrt{x} - 3 \, a^{4}}{6 \, {\left(a^{5} b x^{\frac{5}{2}} + a^{6} x^{2}\right)}} - \frac{10 \, b^{4} \log\left(b \sqrt{x} + a\right)}{a^{6}} + \frac{5 \, b^{4} \log\left(x\right)}{a^{6}}"," ",0,"1/6*(60*b^4*x^2 + 30*a*b^3*x^(3/2) - 10*a^2*b^2*x + 5*a^3*b*sqrt(x) - 3*a^4)/(a^5*b*x^(5/2) + a^6*x^2) - 10*b^4*log(b*sqrt(x) + a)/a^6 + 5*b^4*log(x)/a^6","A",0
2206,1,110,0,0.848125," ","integrate(1/x^4/(a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{420 \, b^{6} x^{3} + 210 \, a b^{5} x^{\frac{5}{2}} - 70 \, a^{2} b^{4} x^{2} + 35 \, a^{3} b^{3} x^{\frac{3}{2}} - 21 \, a^{4} b^{2} x + 14 \, a^{5} b \sqrt{x} - 10 \, a^{6}}{30 \, {\left(a^{7} b x^{\frac{7}{2}} + a^{8} x^{3}\right)}} - \frac{14 \, b^{6} \log\left(b \sqrt{x} + a\right)}{a^{8}} + \frac{7 \, b^{6} \log\left(x\right)}{a^{8}}"," ",0,"1/30*(420*b^6*x^3 + 210*a*b^5*x^(5/2) - 70*a^2*b^4*x^2 + 35*a^3*b^3*x^(3/2) - 21*a^4*b^2*x + 14*a^5*b*sqrt(x) - 10*a^6)/(a^7*b*x^(7/2) + a^8*x^3) - 14*b^6*log(b*sqrt(x) + a)/a^8 + 7*b^6*log(x)/a^8","A",0
2207,1,128,0,0.892104," ","integrate(x^3/(a+b*x^(1/2))^3,x, algorithm=""maxima"")","-\frac{42 \, a^{5} \log\left(b \sqrt{x} + a\right)}{b^{8}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}^{5}}{5 \, b^{8}} - \frac{7 \, {\left(b \sqrt{x} + a\right)}^{4} a}{2 \, b^{8}} + \frac{14 \, {\left(b \sqrt{x} + a\right)}^{3} a^{2}}{b^{8}} - \frac{35 \, {\left(b \sqrt{x} + a\right)}^{2} a^{3}}{b^{8}} + \frac{70 \, {\left(b \sqrt{x} + a\right)} a^{4}}{b^{8}} - \frac{14 \, a^{6}}{{\left(b \sqrt{x} + a\right)} b^{8}} + \frac{a^{7}}{{\left(b \sqrt{x} + a\right)}^{2} b^{8}}"," ",0,"-42*a^5*log(b*sqrt(x) + a)/b^8 + 2/5*(b*sqrt(x) + a)^5/b^8 - 7/2*(b*sqrt(x) + a)^4*a/b^8 + 14*(b*sqrt(x) + a)^3*a^2/b^8 - 35*(b*sqrt(x) + a)^2*a^3/b^8 + 70*(b*sqrt(x) + a)*a^4/b^8 - 14*a^6/((b*sqrt(x) + a)*b^8) + a^7/((b*sqrt(x) + a)^2*b^8)","A",0
2208,1,94,0,0.853513," ","integrate(x^2/(a+b*x^(1/2))^3,x, algorithm=""maxima"")","-\frac{20 \, a^{3} \log\left(b \sqrt{x} + a\right)}{b^{6}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}^{3}}{3 \, b^{6}} - \frac{5 \, {\left(b \sqrt{x} + a\right)}^{2} a}{b^{6}} + \frac{20 \, {\left(b \sqrt{x} + a\right)} a^{2}}{b^{6}} - \frac{10 \, a^{4}}{{\left(b \sqrt{x} + a\right)} b^{6}} + \frac{a^{5}}{{\left(b \sqrt{x} + a\right)}^{2} b^{6}}"," ",0,"-20*a^3*log(b*sqrt(x) + a)/b^6 + 2/3*(b*sqrt(x) + a)^3/b^6 - 5*(b*sqrt(x) + a)^2*a/b^6 + 20*(b*sqrt(x) + a)*a^2/b^6 - 10*a^4/((b*sqrt(x) + a)*b^6) + a^5/((b*sqrt(x) + a)^2*b^6)","A",0
2209,1,60,0,0.850045," ","integrate(x/(a+b*x^(1/2))^3,x, algorithm=""maxima"")","-\frac{6 \, a \log\left(b \sqrt{x} + a\right)}{b^{4}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}}{b^{4}} - \frac{6 \, a^{2}}{{\left(b \sqrt{x} + a\right)} b^{4}} + \frac{a^{3}}{{\left(b \sqrt{x} + a\right)}^{2} b^{4}}"," ",0,"-6*a*log(b*sqrt(x) + a)/b^4 + 2*(b*sqrt(x) + a)/b^4 - 6*a^2/((b*sqrt(x) + a)*b^4) + a^3/((b*sqrt(x) + a)^2*b^4)","A",0
2210,1,29,0,0.758643," ","integrate(1/(a+b*x^(1/2))^3,x, algorithm=""maxima"")","-\frac{2}{{\left(b \sqrt{x} + a\right)} b^{2}} + \frac{a}{{\left(b \sqrt{x} + a\right)}^{2} b^{2}}"," ",0,"-2/((b*sqrt(x) + a)*b^2) + a/((b*sqrt(x) + a)^2*b^2)","B",0
2211,1,54,0,0.890050," ","integrate(1/x/(a+b*x^(1/2))^3,x, algorithm=""maxima"")","\frac{2 \, b \sqrt{x} + 3 \, a}{a^{2} b^{2} x + 2 \, a^{3} b \sqrt{x} + a^{4}} - \frac{2 \, \log\left(b \sqrt{x} + a\right)}{a^{3}} + \frac{\log\left(x\right)}{a^{3}}"," ",0,"(2*b*sqrt(x) + 3*a)/(a^2*b^2*x + 2*a^3*b*sqrt(x) + a^4) - 2*log(b*sqrt(x) + a)/a^3 + log(x)/a^3","A",0
2212,1,85,0,0.886295," ","integrate(1/x^2/(a+b*x^(1/2))^3,x, algorithm=""maxima"")","\frac{12 \, b^{3} x^{\frac{3}{2}} + 18 \, a b^{2} x + 4 \, a^{2} b \sqrt{x} - a^{3}}{a^{4} b^{2} x^{2} + 2 \, a^{5} b x^{\frac{3}{2}} + a^{6} x} - \frac{12 \, b^{2} \log\left(b \sqrt{x} + a\right)}{a^{5}} + \frac{6 \, b^{2} \log\left(x\right)}{a^{5}}"," ",0,"(12*b^3*x^(3/2) + 18*a*b^2*x + 4*a^2*b*sqrt(x) - a^3)/(a^4*b^2*x^2 + 2*a^5*b*x^(3/2) + a^6*x) - 12*b^2*log(b*sqrt(x) + a)/a^5 + 6*b^2*log(x)/a^5","A",0
2213,1,110,0,0.879893," ","integrate(1/x^3/(a+b*x^(1/2))^3,x, algorithm=""maxima"")","\frac{60 \, b^{5} x^{\frac{5}{2}} + 90 \, a b^{4} x^{2} + 20 \, a^{2} b^{3} x^{\frac{3}{2}} - 5 \, a^{3} b^{2} x + 2 \, a^{4} b \sqrt{x} - a^{5}}{2 \, {\left(a^{6} b^{2} x^{3} + 2 \, a^{7} b x^{\frac{5}{2}} + a^{8} x^{2}\right)}} - \frac{30 \, b^{4} \log\left(b \sqrt{x} + a\right)}{a^{7}} + \frac{15 \, b^{4} \log\left(x\right)}{a^{7}}"," ",0,"1/2*(60*b^5*x^(5/2) + 90*a*b^4*x^2 + 20*a^2*b^3*x^(3/2) - 5*a^3*b^2*x + 2*a^4*b*sqrt(x) - a^5)/(a^6*b^2*x^3 + 2*a^7*b*x^(5/2) + a^8*x^2) - 30*b^4*log(b*sqrt(x) + a)/a^7 + 15*b^4*log(x)/a^7","A",0
2214,1,132,0,0.965686," ","integrate(1/x^4/(a+b*x^(1/2))^3,x, algorithm=""maxima"")","\frac{840 \, b^{7} x^{\frac{7}{2}} + 1260 \, a b^{6} x^{3} + 280 \, a^{2} b^{5} x^{\frac{5}{2}} - 70 \, a^{3} b^{4} x^{2} + 28 \, a^{4} b^{3} x^{\frac{3}{2}} - 14 \, a^{5} b^{2} x + 8 \, a^{6} b \sqrt{x} - 5 \, a^{7}}{15 \, {\left(a^{8} b^{2} x^{4} + 2 \, a^{9} b x^{\frac{7}{2}} + a^{10} x^{3}\right)}} - \frac{56 \, b^{6} \log\left(b \sqrt{x} + a\right)}{a^{9}} + \frac{28 \, b^{6} \log\left(x\right)}{a^{9}}"," ",0,"1/15*(840*b^7*x^(7/2) + 1260*a*b^6*x^3 + 280*a^2*b^5*x^(5/2) - 70*a^3*b^4*x^2 + 28*a^4*b^3*x^(3/2) - 14*a^5*b^2*x + 8*a^6*b*sqrt(x) - 5*a^7)/(a^8*b^2*x^4 + 2*a^9*b*x^(7/2) + a^10*x^3) - 56*b^6*log(b*sqrt(x) + a)/a^9 + 28*b^6*log(x)/a^9","A",0
2215,1,163,0,0.854068," ","integrate(x^4/(a+b*x^(1/2))^5,x, algorithm=""maxima"")","-\frac{252 \, a^{5} \log\left(b \sqrt{x} + a\right)}{b^{10}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}^{5}}{5 \, b^{10}} - \frac{9 \, {\left(b \sqrt{x} + a\right)}^{4} a}{2 \, b^{10}} + \frac{24 \, {\left(b \sqrt{x} + a\right)}^{3} a^{2}}{b^{10}} - \frac{84 \, {\left(b \sqrt{x} + a\right)}^{2} a^{3}}{b^{10}} + \frac{252 \, {\left(b \sqrt{x} + a\right)} a^{4}}{b^{10}} - \frac{168 \, a^{6}}{{\left(b \sqrt{x} + a\right)} b^{10}} + \frac{36 \, a^{7}}{{\left(b \sqrt{x} + a\right)}^{2} b^{10}} - \frac{6 \, a^{8}}{{\left(b \sqrt{x} + a\right)}^{3} b^{10}} + \frac{a^{9}}{2 \, {\left(b \sqrt{x} + a\right)}^{4} b^{10}}"," ",0,"-252*a^5*log(b*sqrt(x) + a)/b^10 + 2/5*(b*sqrt(x) + a)^5/b^10 - 9/2*(b*sqrt(x) + a)^4*a/b^10 + 24*(b*sqrt(x) + a)^3*a^2/b^10 - 84*(b*sqrt(x) + a)^2*a^3/b^10 + 252*(b*sqrt(x) + a)*a^4/b^10 - 168*a^6/((b*sqrt(x) + a)*b^10) + 36*a^7/((b*sqrt(x) + a)^2*b^10) - 6*a^8/((b*sqrt(x) + a)^3*b^10) + 1/2*a^9/((b*sqrt(x) + a)^4*b^10)","A",0
2216,1,129,0,0.897731," ","integrate(x^3/(a+b*x^(1/2))^5,x, algorithm=""maxima"")","-\frac{70 \, a^{3} \log\left(b \sqrt{x} + a\right)}{b^{8}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}^{3}}{3 \, b^{8}} - \frac{7 \, {\left(b \sqrt{x} + a\right)}^{2} a}{b^{8}} + \frac{42 \, {\left(b \sqrt{x} + a\right)} a^{2}}{b^{8}} - \frac{70 \, a^{4}}{{\left(b \sqrt{x} + a\right)} b^{8}} + \frac{21 \, a^{5}}{{\left(b \sqrt{x} + a\right)}^{2} b^{8}} - \frac{14 \, a^{6}}{3 \, {\left(b \sqrt{x} + a\right)}^{3} b^{8}} + \frac{a^{7}}{2 \, {\left(b \sqrt{x} + a\right)}^{4} b^{8}}"," ",0,"-70*a^3*log(b*sqrt(x) + a)/b^8 + 2/3*(b*sqrt(x) + a)^3/b^8 - 7*(b*sqrt(x) + a)^2*a/b^8 + 42*(b*sqrt(x) + a)*a^2/b^8 - 70*a^4/((b*sqrt(x) + a)*b^8) + 21*a^5/((b*sqrt(x) + a)^2*b^8) - 14/3*a^6/((b*sqrt(x) + a)^3*b^8) + 1/2*a^7/((b*sqrt(x) + a)^4*b^8)","A",0
2217,1,95,0,0.765024," ","integrate(x^2/(a+b*x^(1/2))^5,x, algorithm=""maxima"")","-\frac{10 \, a \log\left(b \sqrt{x} + a\right)}{b^{6}} + \frac{2 \, {\left(b \sqrt{x} + a\right)}}{b^{6}} - \frac{20 \, a^{2}}{{\left(b \sqrt{x} + a\right)} b^{6}} + \frac{10 \, a^{3}}{{\left(b \sqrt{x} + a\right)}^{2} b^{6}} - \frac{10 \, a^{4}}{3 \, {\left(b \sqrt{x} + a\right)}^{3} b^{6}} + \frac{a^{5}}{2 \, {\left(b \sqrt{x} + a\right)}^{4} b^{6}}"," ",0,"-10*a*log(b*sqrt(x) + a)/b^6 + 2*(b*sqrt(x) + a)/b^6 - 20*a^2/((b*sqrt(x) + a)*b^6) + 10*a^3/((b*sqrt(x) + a)^2*b^6) - 10/3*a^4/((b*sqrt(x) + a)^3*b^6) + 1/2*a^5/((b*sqrt(x) + a)^4*b^6)","A",0
2218,1,64,0,0.925148," ","integrate(x/(a+b*x^(1/2))^5,x, algorithm=""maxima"")","-\frac{2}{{\left(b \sqrt{x} + a\right)} b^{4}} + \frac{3 \, a}{{\left(b \sqrt{x} + a\right)}^{2} b^{4}} - \frac{2 \, a^{2}}{{\left(b \sqrt{x} + a\right)}^{3} b^{4}} + \frac{a^{3}}{2 \, {\left(b \sqrt{x} + a\right)}^{4} b^{4}}"," ",0,"-2/((b*sqrt(x) + a)*b^4) + 3*a/((b*sqrt(x) + a)^2*b^4) - 2*a^2/((b*sqrt(x) + a)^3*b^4) + 1/2*a^3/((b*sqrt(x) + a)^4*b^4)","B",0
2219,1,30,0,0.861930," ","integrate(1/(a+b*x^(1/2))^5,x, algorithm=""maxima"")","-\frac{2}{3 \, {\left(b \sqrt{x} + a\right)}^{3} b^{2}} + \frac{a}{2 \, {\left(b \sqrt{x} + a\right)}^{4} b^{2}}"," ",0,"-2/3/((b*sqrt(x) + a)^3*b^2) + 1/2*a/((b*sqrt(x) + a)^4*b^2)","A",0
2220,1,97,0,0.928676," ","integrate(1/x/(a+b*x^(1/2))^5,x, algorithm=""maxima"")","\frac{12 \, b^{3} x^{\frac{3}{2}} + 42 \, a b^{2} x + 52 \, a^{2} b \sqrt{x} + 25 \, a^{3}}{6 \, {\left(a^{4} b^{4} x^{2} + 4 \, a^{5} b^{3} x^{\frac{3}{2}} + 6 \, a^{6} b^{2} x + 4 \, a^{7} b \sqrt{x} + a^{8}\right)}} - \frac{2 \, \log\left(b \sqrt{x} + a\right)}{a^{5}} + \frac{\log\left(x\right)}{a^{5}}"," ",0,"1/6*(12*b^3*x^(3/2) + 42*a*b^2*x + 52*a^2*b*sqrt(x) + 25*a^3)/(a^4*b^4*x^2 + 4*a^5*b^3*x^(3/2) + 6*a^6*b^2*x + 4*a^7*b*sqrt(x) + a^8) - 2*log(b*sqrt(x) + a)/a^5 + log(x)/a^5","A",0
2221,1,130,0,0.929385," ","integrate(1/x^2/(a+b*x^(1/2))^5,x, algorithm=""maxima"")","\frac{60 \, b^{5} x^{\frac{5}{2}} + 210 \, a b^{4} x^{2} + 260 \, a^{2} b^{3} x^{\frac{3}{2}} + 125 \, a^{3} b^{2} x + 12 \, a^{4} b \sqrt{x} - 2 \, a^{5}}{2 \, {\left(a^{6} b^{4} x^{3} + 4 \, a^{7} b^{3} x^{\frac{5}{2}} + 6 \, a^{8} b^{2} x^{2} + 4 \, a^{9} b x^{\frac{3}{2}} + a^{10} x\right)}} - \frac{30 \, b^{2} \log\left(b \sqrt{x} + a\right)}{a^{7}} + \frac{15 \, b^{2} \log\left(x\right)}{a^{7}}"," ",0,"1/2*(60*b^5*x^(5/2) + 210*a*b^4*x^2 + 260*a^2*b^3*x^(3/2) + 125*a^3*b^2*x + 12*a^4*b*sqrt(x) - 2*a^5)/(a^6*b^4*x^3 + 4*a^7*b^3*x^(5/2) + 6*a^8*b^2*x^2 + 4*a^9*b*x^(3/2) + a^10*x) - 30*b^2*log(b*sqrt(x) + a)/a^7 + 15*b^2*log(x)/a^7","A",0
2222,1,154,0,0.930572," ","integrate(1/x^3/(a+b*x^(1/2))^5,x, algorithm=""maxima"")","\frac{840 \, b^{7} x^{\frac{7}{2}} + 2940 \, a b^{6} x^{3} + 3640 \, a^{2} b^{5} x^{\frac{5}{2}} + 1750 \, a^{3} b^{4} x^{2} + 168 \, a^{4} b^{3} x^{\frac{3}{2}} - 28 \, a^{5} b^{2} x + 8 \, a^{6} b \sqrt{x} - 3 \, a^{7}}{6 \, {\left(a^{8} b^{4} x^{4} + 4 \, a^{9} b^{3} x^{\frac{7}{2}} + 6 \, a^{10} b^{2} x^{3} + 4 \, a^{11} b x^{\frac{5}{2}} + a^{12} x^{2}\right)}} - \frac{140 \, b^{4} \log\left(b \sqrt{x} + a\right)}{a^{9}} + \frac{70 \, b^{4} \log\left(x\right)}{a^{9}}"," ",0,"1/6*(840*b^7*x^(7/2) + 2940*a*b^6*x^3 + 3640*a^2*b^5*x^(5/2) + 1750*a^3*b^4*x^2 + 168*a^4*b^3*x^(3/2) - 28*a^5*b^2*x + 8*a^6*b*sqrt(x) - 3*a^7)/(a^8*b^4*x^4 + 4*a^9*b^3*x^(7/2) + 6*a^10*b^2*x^3 + 4*a^11*b*x^(5/2) + a^12*x^2) - 140*b^4*log(b*sqrt(x) + a)/a^9 + 70*b^4*log(x)/a^9","A",0
2223,1,197,0,0.855742," ","integrate(x^5/(a+b*x^(1/2))^8,x, algorithm=""maxima"")","\frac{660 \, a^{4} \log\left(b \sqrt{x} + a\right)}{b^{12}} + \frac{{\left(b \sqrt{x} + a\right)}^{4}}{2 \, b^{12}} - \frac{22 \, {\left(b \sqrt{x} + a\right)}^{3} a}{3 \, b^{12}} + \frac{55 \, {\left(b \sqrt{x} + a\right)}^{2} a^{2}}{b^{12}} - \frac{330 \, {\left(b \sqrt{x} + a\right)} a^{3}}{b^{12}} + \frac{924 \, a^{5}}{{\left(b \sqrt{x} + a\right)} b^{12}} - \frac{462 \, a^{6}}{{\left(b \sqrt{x} + a\right)}^{2} b^{12}} + \frac{220 \, a^{7}}{{\left(b \sqrt{x} + a\right)}^{3} b^{12}} - \frac{165 \, a^{8}}{2 \, {\left(b \sqrt{x} + a\right)}^{4} b^{12}} + \frac{22 \, a^{9}}{{\left(b \sqrt{x} + a\right)}^{5} b^{12}} - \frac{11 \, a^{10}}{3 \, {\left(b \sqrt{x} + a\right)}^{6} b^{12}} + \frac{2 \, a^{11}}{7 \, {\left(b \sqrt{x} + a\right)}^{7} b^{12}}"," ",0,"660*a^4*log(b*sqrt(x) + a)/b^12 + 1/2*(b*sqrt(x) + a)^4/b^12 - 22/3*(b*sqrt(x) + a)^3*a/b^12 + 55*(b*sqrt(x) + a)^2*a^2/b^12 - 330*(b*sqrt(x) + a)*a^3/b^12 + 924*a^5/((b*sqrt(x) + a)*b^12) - 462*a^6/((b*sqrt(x) + a)^2*b^12) + 220*a^7/((b*sqrt(x) + a)^3*b^12) - 165/2*a^8/((b*sqrt(x) + a)^4*b^12) + 22*a^9/((b*sqrt(x) + a)^5*b^12) - 11/3*a^10/((b*sqrt(x) + a)^6*b^12) + 2/7*a^11/((b*sqrt(x) + a)^7*b^12)","A",0
2224,1,162,0,0.877492," ","integrate(x^4/(a+b*x^(1/2))^8,x, algorithm=""maxima"")","\frac{72 \, a^{2} \log\left(b \sqrt{x} + a\right)}{b^{10}} + \frac{{\left(b \sqrt{x} + a\right)}^{2}}{b^{10}} - \frac{18 \, {\left(b \sqrt{x} + a\right)} a}{b^{10}} + \frac{168 \, a^{3}}{{\left(b \sqrt{x} + a\right)} b^{10}} - \frac{126 \, a^{4}}{{\left(b \sqrt{x} + a\right)}^{2} b^{10}} + \frac{84 \, a^{5}}{{\left(b \sqrt{x} + a\right)}^{3} b^{10}} - \frac{42 \, a^{6}}{{\left(b \sqrt{x} + a\right)}^{4} b^{10}} + \frac{72 \, a^{7}}{5 \, {\left(b \sqrt{x} + a\right)}^{5} b^{10}} - \frac{3 \, a^{8}}{{\left(b \sqrt{x} + a\right)}^{6} b^{10}} + \frac{2 \, a^{9}}{7 \, {\left(b \sqrt{x} + a\right)}^{7} b^{10}}"," ",0,"72*a^2*log(b*sqrt(x) + a)/b^10 + (b*sqrt(x) + a)^2/b^10 - 18*(b*sqrt(x) + a)*a/b^10 + 168*a^3/((b*sqrt(x) + a)*b^10) - 126*a^4/((b*sqrt(x) + a)^2*b^10) + 84*a^5/((b*sqrt(x) + a)^3*b^10) - 42*a^6/((b*sqrt(x) + a)^4*b^10) + 72/5*a^7/((b*sqrt(x) + a)^5*b^10) - 3*a^8/((b*sqrt(x) + a)^6*b^10) + 2/7*a^9/((b*sqrt(x) + a)^7*b^10)","A",0
2225,1,131,0,0.859246," ","integrate(x^3/(a+b*x^(1/2))^8,x, algorithm=""maxima"")","\frac{2 \, \log\left(b \sqrt{x} + a\right)}{b^{8}} + \frac{14 \, a}{{\left(b \sqrt{x} + a\right)} b^{8}} - \frac{21 \, a^{2}}{{\left(b \sqrt{x} + a\right)}^{2} b^{8}} + \frac{70 \, a^{3}}{3 \, {\left(b \sqrt{x} + a\right)}^{3} b^{8}} - \frac{35 \, a^{4}}{2 \, {\left(b \sqrt{x} + a\right)}^{4} b^{8}} + \frac{42 \, a^{5}}{5 \, {\left(b \sqrt{x} + a\right)}^{5} b^{8}} - \frac{7 \, a^{6}}{3 \, {\left(b \sqrt{x} + a\right)}^{6} b^{8}} + \frac{2 \, a^{7}}{7 \, {\left(b \sqrt{x} + a\right)}^{7} b^{8}}"," ",0,"2*log(b*sqrt(x) + a)/b^8 + 14*a/((b*sqrt(x) + a)*b^8) - 21*a^2/((b*sqrt(x) + a)^2*b^8) + 70/3*a^3/((b*sqrt(x) + a)^3*b^8) - 35/2*a^4/((b*sqrt(x) + a)^4*b^8) + 42/5*a^5/((b*sqrt(x) + a)^5*b^8) - 7/3*a^6/((b*sqrt(x) + a)^6*b^8) + 2/7*a^7/((b*sqrt(x) + a)^7*b^8)","A",0
2226,1,98,0,0.903921," ","integrate(x^2/(a+b*x^(1/2))^8,x, algorithm=""maxima"")","-\frac{1}{{\left(b \sqrt{x} + a\right)}^{2} b^{6}} + \frac{10 \, a}{3 \, {\left(b \sqrt{x} + a\right)}^{3} b^{6}} - \frac{5 \, a^{2}}{{\left(b \sqrt{x} + a\right)}^{4} b^{6}} + \frac{4 \, a^{3}}{{\left(b \sqrt{x} + a\right)}^{5} b^{6}} - \frac{5 \, a^{4}}{3 \, {\left(b \sqrt{x} + a\right)}^{6} b^{6}} + \frac{2 \, a^{5}}{7 \, {\left(b \sqrt{x} + a\right)}^{7} b^{6}}"," ",0,"-1/((b*sqrt(x) + a)^2*b^6) + 10/3*a/((b*sqrt(x) + a)^3*b^6) - 5*a^2/((b*sqrt(x) + a)^4*b^6) + 4*a^3/((b*sqrt(x) + a)^5*b^6) - 5/3*a^4/((b*sqrt(x) + a)^6*b^6) + 2/7*a^5/((b*sqrt(x) + a)^7*b^6)","B",0
2227,1,64,0,0.851381," ","integrate(x/(a+b*x^(1/2))^8,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(b \sqrt{x} + a\right)}^{4} b^{4}} + \frac{6 \, a}{5 \, {\left(b \sqrt{x} + a\right)}^{5} b^{4}} - \frac{a^{2}}{{\left(b \sqrt{x} + a\right)}^{6} b^{4}} + \frac{2 \, a^{3}}{7 \, {\left(b \sqrt{x} + a\right)}^{7} b^{4}}"," ",0,"-1/2/((b*sqrt(x) + a)^4*b^4) + 6/5*a/((b*sqrt(x) + a)^5*b^4) - a^2/((b*sqrt(x) + a)^6*b^4) + 2/7*a^3/((b*sqrt(x) + a)^7*b^4)","A",0
2228,1,30,0,0.862171," ","integrate(1/(a+b*x^(1/2))^8,x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(b \sqrt{x} + a\right)}^{6} b^{2}} + \frac{2 \, a}{7 \, {\left(b \sqrt{x} + a\right)}^{7} b^{2}}"," ",0,"-1/3/((b*sqrt(x) + a)^6*b^2) + 2/7*a/((b*sqrt(x) + a)^7*b^2)","A",0
2229,1,163,0,1.008910," ","integrate(1/x/(a+b*x^(1/2))^8,x, algorithm=""maxima"")","\frac{420 \, b^{6} x^{3} + 2730 \, a b^{5} x^{\frac{5}{2}} + 7490 \, a^{2} b^{4} x^{2} + 11165 \, a^{3} b^{3} x^{\frac{3}{2}} + 9639 \, a^{4} b^{2} x + 4683 \, a^{5} b \sqrt{x} + 1089 \, a^{6}}{210 \, {\left(a^{7} b^{7} x^{\frac{7}{2}} + 7 \, a^{8} b^{6} x^{3} + 21 \, a^{9} b^{5} x^{\frac{5}{2}} + 35 \, a^{10} b^{4} x^{2} + 35 \, a^{11} b^{3} x^{\frac{3}{2}} + 21 \, a^{12} b^{2} x + 7 \, a^{13} b \sqrt{x} + a^{14}\right)}} - \frac{2 \, \log\left(b \sqrt{x} + a\right)}{a^{8}} + \frac{\log\left(x\right)}{a^{8}}"," ",0,"1/210*(420*b^6*x^3 + 2730*a*b^5*x^(5/2) + 7490*a^2*b^4*x^2 + 11165*a^3*b^3*x^(3/2) + 9639*a^4*b^2*x + 4683*a^5*b*sqrt(x) + 1089*a^6)/(a^7*b^7*x^(7/2) + 7*a^8*b^6*x^3 + 21*a^9*b^5*x^(5/2) + 35*a^10*b^4*x^2 + 35*a^11*b^3*x^(3/2) + 21*a^12*b^2*x + 7*a^13*b*sqrt(x) + a^14) - 2*log(b*sqrt(x) + a)/a^8 + log(x)/a^8","A",0
2230,1,196,0,0.977968," ","integrate(1/x^2/(a+b*x^(1/2))^8,x, algorithm=""maxima"")","\frac{2520 \, b^{8} x^{4} + 16380 \, a b^{7} x^{\frac{7}{2}} + 44940 \, a^{2} b^{6} x^{3} + 66990 \, a^{3} b^{5} x^{\frac{5}{2}} + 57834 \, a^{4} b^{4} x^{2} + 28098 \, a^{5} b^{3} x^{\frac{3}{2}} + 6534 \, a^{6} b^{2} x + 315 \, a^{7} b \sqrt{x} - 35 \, a^{8}}{35 \, {\left(a^{9} b^{7} x^{\frac{9}{2}} + 7 \, a^{10} b^{6} x^{4} + 21 \, a^{11} b^{5} x^{\frac{7}{2}} + 35 \, a^{12} b^{4} x^{3} + 35 \, a^{13} b^{3} x^{\frac{5}{2}} + 21 \, a^{14} b^{2} x^{2} + 7 \, a^{15} b x^{\frac{3}{2}} + a^{16} x\right)}} - \frac{72 \, b^{2} \log\left(b \sqrt{x} + a\right)}{a^{10}} + \frac{36 \, b^{2} \log\left(x\right)}{a^{10}}"," ",0,"1/35*(2520*b^8*x^4 + 16380*a*b^7*x^(7/2) + 44940*a^2*b^6*x^3 + 66990*a^3*b^5*x^(5/2) + 57834*a^4*b^4*x^2 + 28098*a^5*b^3*x^(3/2) + 6534*a^6*b^2*x + 315*a^7*b*sqrt(x) - 35*a^8)/(a^9*b^7*x^(9/2) + 7*a^10*b^6*x^4 + 21*a^11*b^5*x^(7/2) + 35*a^12*b^4*x^3 + 35*a^13*b^3*x^(5/2) + 21*a^14*b^2*x^2 + 7*a^15*b*x^(3/2) + a^16*x) - 72*b^2*log(b*sqrt(x) + a)/a^10 + 36*b^2*log(x)/a^10","A",0
2231,1,220,0,1.114582," ","integrate(1/x^3/(a+b*x^(1/2))^8,x, algorithm=""maxima"")","\frac{27720 \, b^{10} x^{5} + 180180 \, a b^{9} x^{\frac{9}{2}} + 494340 \, a^{2} b^{8} x^{4} + 736890 \, a^{3} b^{7} x^{\frac{7}{2}} + 636174 \, a^{4} b^{6} x^{3} + 309078 \, a^{5} b^{5} x^{\frac{5}{2}} + 71874 \, a^{6} b^{4} x^{2} + 3465 \, a^{7} b^{3} x^{\frac{3}{2}} - 385 \, a^{8} b^{2} x + 77 \, a^{9} b \sqrt{x} - 21 \, a^{10}}{42 \, {\left(a^{11} b^{7} x^{\frac{11}{2}} + 7 \, a^{12} b^{6} x^{5} + 21 \, a^{13} b^{5} x^{\frac{9}{2}} + 35 \, a^{14} b^{4} x^{4} + 35 \, a^{15} b^{3} x^{\frac{7}{2}} + 21 \, a^{16} b^{2} x^{3} + 7 \, a^{17} b x^{\frac{5}{2}} + a^{18} x^{2}\right)}} - \frac{660 \, b^{4} \log\left(b \sqrt{x} + a\right)}{a^{12}} + \frac{330 \, b^{4} \log\left(x\right)}{a^{12}}"," ",0,"1/42*(27720*b^10*x^5 + 180180*a*b^9*x^(9/2) + 494340*a^2*b^8*x^4 + 736890*a^3*b^7*x^(7/2) + 636174*a^4*b^6*x^3 + 309078*a^5*b^5*x^(5/2) + 71874*a^6*b^4*x^2 + 3465*a^7*b^3*x^(3/2) - 385*a^8*b^2*x + 77*a^9*b*sqrt(x) - 21*a^10)/(a^11*b^7*x^(11/2) + 7*a^12*b^6*x^5 + 21*a^13*b^5*x^(9/2) + 35*a^14*b^4*x^4 + 35*a^15*b^3*x^(7/2) + 21*a^16*b^2*x^3 + 7*a^17*b*x^(5/2) + a^18*x^2) - 660*b^4*log(b*sqrt(x) + a)/a^12 + 330*b^4*log(x)/a^12","A",0
2232,1,15,0,0.889902," ","integrate(1/x/(2+b*x^(1/2)),x, algorithm=""maxima"")","-\log\left(b \sqrt{x} + 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-log(b*sqrt(x) + 2) + 1/2*log(x)","A",0
2233,1,98,0,0.803131," ","integrate(x^2*(a+b*x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(b \sqrt{x} + a\right)}^{\frac{13}{2}}}{13 \, b^{6}} - \frac{20 \, {\left(b \sqrt{x} + a\right)}^{\frac{11}{2}} a}{11 \, b^{6}} + \frac{40 \, {\left(b \sqrt{x} + a\right)}^{\frac{9}{2}} a^{2}}{9 \, b^{6}} - \frac{40 \, {\left(b \sqrt{x} + a\right)}^{\frac{7}{2}} a^{3}}{7 \, b^{6}} + \frac{4 \, {\left(b \sqrt{x} + a\right)}^{\frac{5}{2}} a^{4}}{b^{6}} - \frac{4 \, {\left(b \sqrt{x} + a\right)}^{\frac{3}{2}} a^{5}}{3 \, b^{6}}"," ",0,"4/13*(b*sqrt(x) + a)^(13/2)/b^6 - 20/11*(b*sqrt(x) + a)^(11/2)*a/b^6 + 40/9*(b*sqrt(x) + a)^(9/2)*a^2/b^6 - 40/7*(b*sqrt(x) + a)^(7/2)*a^3/b^6 + 4*(b*sqrt(x) + a)^(5/2)*a^4/b^6 - 4/3*(b*sqrt(x) + a)^(3/2)*a^5/b^6","A",0
2234,1,64,0,0.881353," ","integrate(x*(a+b*x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(b \sqrt{x} + a\right)}^{\frac{9}{2}}}{9 \, b^{4}} - \frac{12 \, {\left(b \sqrt{x} + a\right)}^{\frac{7}{2}} a}{7 \, b^{4}} + \frac{12 \, {\left(b \sqrt{x} + a\right)}^{\frac{5}{2}} a^{2}}{5 \, b^{4}} - \frac{4 \, {\left(b \sqrt{x} + a\right)}^{\frac{3}{2}} a^{3}}{3 \, b^{4}}"," ",0,"4/9*(b*sqrt(x) + a)^(9/2)/b^4 - 12/7*(b*sqrt(x) + a)^(7/2)*a/b^4 + 12/5*(b*sqrt(x) + a)^(5/2)*a^2/b^4 - 4/3*(b*sqrt(x) + a)^(3/2)*a^3/b^4","A",0
2235,1,30,0,0.920153," ","integrate((a+b*x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(b \sqrt{x} + a\right)}^{\frac{5}{2}}}{5 \, b^{2}} - \frac{4 \, {\left(b \sqrt{x} + a\right)}^{\frac{3}{2}} a}{3 \, b^{2}}"," ",0,"4/5*(b*sqrt(x) + a)^(5/2)/b^2 - 4/3*(b*sqrt(x) + a)^(3/2)*a/b^2","A",0
2236,1,49,0,2.038160," ","integrate((a+b*x^(1/2))^(1/2)/x,x, algorithm=""maxima"")","2 \, \sqrt{a} \log\left(\frac{\sqrt{b \sqrt{x} + a} - \sqrt{a}}{\sqrt{b \sqrt{x} + a} + \sqrt{a}}\right) + 4 \, \sqrt{b \sqrt{x} + a}"," ",0,"2*sqrt(a)*log((sqrt(b*sqrt(x) + a) - sqrt(a))/(sqrt(b*sqrt(x) + a) + sqrt(a))) + 4*sqrt(b*sqrt(x) + a)","A",0
2237,1,100,0,2.036664," ","integrate((a+b*x^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","-\frac{b^{2} \log\left(\frac{\sqrt{b \sqrt{x} + a} - \sqrt{a}}{\sqrt{b \sqrt{x} + a} + \sqrt{a}}\right)}{4 \, a^{\frac{3}{2}}} - \frac{{\left(b \sqrt{x} + a\right)}^{\frac{3}{2}} b^{2} + \sqrt{b \sqrt{x} + a} a b^{2}}{2 \, {\left({\left(b \sqrt{x} + a\right)}^{2} a - 2 \, {\left(b \sqrt{x} + a\right)} a^{2} + a^{3}\right)}}"," ",0,"-1/4*b^2*log((sqrt(b*sqrt(x) + a) - sqrt(a))/(sqrt(b*sqrt(x) + a) + sqrt(a)))/a^(3/2) - 1/2*((b*sqrt(x) + a)^(3/2)*b^2 + sqrt(b*sqrt(x) + a)*a*b^2)/((b*sqrt(x) + a)^2*a - 2*(b*sqrt(x) + a)*a^2 + a^3)","A",0
2238,1,166,0,1.897121," ","integrate((a+b*x^(1/2))^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{5 \, b^{4} \log\left(\frac{\sqrt{b \sqrt{x} + a} - \sqrt{a}}{\sqrt{b \sqrt{x} + a} + \sqrt{a}}\right)}{64 \, a^{\frac{7}{2}}} - \frac{15 \, {\left(b \sqrt{x} + a\right)}^{\frac{7}{2}} b^{4} - 55 \, {\left(b \sqrt{x} + a\right)}^{\frac{5}{2}} a b^{4} + 73 \, {\left(b \sqrt{x} + a\right)}^{\frac{3}{2}} a^{2} b^{4} + 15 \, \sqrt{b \sqrt{x} + a} a^{3} b^{4}}{96 \, {\left({\left(b \sqrt{x} + a\right)}^{4} a^{3} - 4 \, {\left(b \sqrt{x} + a\right)}^{3} a^{4} + 6 \, {\left(b \sqrt{x} + a\right)}^{2} a^{5} - 4 \, {\left(b \sqrt{x} + a\right)} a^{6} + a^{7}\right)}}"," ",0,"-5/64*b^4*log((sqrt(b*sqrt(x) + a) - sqrt(a))/(sqrt(b*sqrt(x) + a) + sqrt(a)))/a^(7/2) - 1/96*(15*(b*sqrt(x) + a)^(7/2)*b^4 - 55*(b*sqrt(x) + a)^(5/2)*a*b^4 + 73*(b*sqrt(x) + a)^(3/2)*a^2*b^4 + 15*sqrt(b*sqrt(x) + a)*a^3*b^4)/((b*sqrt(x) + a)^4*a^3 - 4*(b*sqrt(x) + a)^3*a^4 + 6*(b*sqrt(x) + a)^2*a^5 - 4*(b*sqrt(x) + a)*a^6 + a^7)","A",0
2239,1,98,0,0.875383," ","integrate(x^2/(a+b*x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(b \sqrt{x} + a\right)}^{\frac{11}{2}}}{11 \, b^{6}} - \frac{20 \, {\left(b \sqrt{x} + a\right)}^{\frac{9}{2}} a}{9 \, b^{6}} + \frac{40 \, {\left(b \sqrt{x} + a\right)}^{\frac{7}{2}} a^{2}}{7 \, b^{6}} - \frac{8 \, {\left(b \sqrt{x} + a\right)}^{\frac{5}{2}} a^{3}}{b^{6}} + \frac{20 \, {\left(b \sqrt{x} + a\right)}^{\frac{3}{2}} a^{4}}{3 \, b^{6}} - \frac{4 \, \sqrt{b \sqrt{x} + a} a^{5}}{b^{6}}"," ",0,"4/11*(b*sqrt(x) + a)^(11/2)/b^6 - 20/9*(b*sqrt(x) + a)^(9/2)*a/b^6 + 40/7*(b*sqrt(x) + a)^(7/2)*a^2/b^6 - 8*(b*sqrt(x) + a)^(5/2)*a^3/b^6 + 20/3*(b*sqrt(x) + a)^(3/2)*a^4/b^6 - 4*sqrt(b*sqrt(x) + a)*a^5/b^6","A",0
2240,1,64,0,0.839726," ","integrate(x/(a+b*x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(b \sqrt{x} + a\right)}^{\frac{7}{2}}}{7 \, b^{4}} - \frac{12 \, {\left(b \sqrt{x} + a\right)}^{\frac{5}{2}} a}{5 \, b^{4}} + \frac{4 \, {\left(b \sqrt{x} + a\right)}^{\frac{3}{2}} a^{2}}{b^{4}} - \frac{4 \, \sqrt{b \sqrt{x} + a} a^{3}}{b^{4}}"," ",0,"4/7*(b*sqrt(x) + a)^(7/2)/b^4 - 12/5*(b*sqrt(x) + a)^(5/2)*a/b^4 + 4*(b*sqrt(x) + a)^(3/2)*a^2/b^4 - 4*sqrt(b*sqrt(x) + a)*a^3/b^4","A",0
2241,1,30,0,0.809033," ","integrate(1/(a+b*x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(b \sqrt{x} + a\right)}^{\frac{3}{2}}}{3 \, b^{2}} - \frac{4 \, \sqrt{b \sqrt{x} + a} a}{b^{2}}"," ",0,"4/3*(b*sqrt(x) + a)^(3/2)/b^2 - 4*sqrt(b*sqrt(x) + a)*a/b^2","A",0
2242,1,37,0,1.859978," ","integrate(1/x/(a+b*x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{2 \, \log\left(\frac{\sqrt{b \sqrt{x} + a} - \sqrt{a}}{\sqrt{b \sqrt{x} + a} + \sqrt{a}}\right)}{\sqrt{a}}"," ",0,"2*log((sqrt(b*sqrt(x) + a) - sqrt(a))/(sqrt(b*sqrt(x) + a) + sqrt(a)))/sqrt(a)","A",0
2243,1,104,0,1.924368," ","integrate(1/x^2/(a+b*x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{3 \, b^{2} \log\left(\frac{\sqrt{b \sqrt{x} + a} - \sqrt{a}}{\sqrt{b \sqrt{x} + a} + \sqrt{a}}\right)}{4 \, a^{\frac{5}{2}}} + \frac{3 \, {\left(b \sqrt{x} + a\right)}^{\frac{3}{2}} b^{2} - 5 \, \sqrt{b \sqrt{x} + a} a b^{2}}{2 \, {\left({\left(b \sqrt{x} + a\right)}^{2} a^{2} - 2 \, {\left(b \sqrt{x} + a\right)} a^{3} + a^{4}\right)}}"," ",0,"3/4*b^2*log((sqrt(b*sqrt(x) + a) - sqrt(a))/(sqrt(b*sqrt(x) + a) + sqrt(a)))/a^(5/2) + 1/2*(3*(b*sqrt(x) + a)^(3/2)*b^2 - 5*sqrt(b*sqrt(x) + a)*a*b^2)/((b*sqrt(x) + a)^2*a^2 - 2*(b*sqrt(x) + a)*a^3 + a^4)","A",0
2244,1,166,0,2.000417," ","integrate(1/x^3/(a+b*x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{35 \, b^{4} \log\left(\frac{\sqrt{b \sqrt{x} + a} - \sqrt{a}}{\sqrt{b \sqrt{x} + a} + \sqrt{a}}\right)}{64 \, a^{\frac{9}{2}}} + \frac{105 \, {\left(b \sqrt{x} + a\right)}^{\frac{7}{2}} b^{4} - 385 \, {\left(b \sqrt{x} + a\right)}^{\frac{5}{2}} a b^{4} + 511 \, {\left(b \sqrt{x} + a\right)}^{\frac{3}{2}} a^{2} b^{4} - 279 \, \sqrt{b \sqrt{x} + a} a^{3} b^{4}}{96 \, {\left({\left(b \sqrt{x} + a\right)}^{4} a^{4} - 4 \, {\left(b \sqrt{x} + a\right)}^{3} a^{5} + 6 \, {\left(b \sqrt{x} + a\right)}^{2} a^{6} - 4 \, {\left(b \sqrt{x} + a\right)} a^{7} + a^{8}\right)}}"," ",0,"35/64*b^4*log((sqrt(b*sqrt(x) + a) - sqrt(a))/(sqrt(b*sqrt(x) + a) + sqrt(a)))/a^(9/2) + 1/96*(105*(b*sqrt(x) + a)^(7/2)*b^4 - 385*(b*sqrt(x) + a)^(5/2)*a*b^4 + 511*(b*sqrt(x) + a)^(3/2)*a^2*b^4 - 279*sqrt(b*sqrt(x) + a)*a^3*b^4)/((b*sqrt(x) + a)^4*a^4 - 4*(b*sqrt(x) + a)^3*a^5 + 6*(b*sqrt(x) + a)^2*a^6 - 4*(b*sqrt(x) + a)*a^7 + a^8)","A",0
2245,1,71,0,0.934702," ","integrate(x^(1/2)*(a+b*x^(1/2))^n,x, algorithm=""maxima"")","\frac{2 \, {\left({\left(n^{2} + 3 \, n + 2\right)} b^{3} x^{\frac{3}{2}} + {\left(n^{2} + n\right)} a b^{2} x - 2 \, a^{2} b n \sqrt{x} + 2 \, a^{3}\right)} {\left(b \sqrt{x} + a\right)}^{n}}{{\left(n^{3} + 6 \, n^{2} + 11 \, n + 6\right)} b^{3}}"," ",0,"2*((n^2 + 3*n + 2)*b^3*x^(3/2) + (n^2 + n)*a*b^2*x - 2*a^2*b*n*sqrt(x) + 2*a^3)*(b*sqrt(x) + a)^n/((n^3 + 6*n^2 + 11*n + 6)*b^3)","A",0
2246,1,21,0,0.865759," ","integrate((a+b*x^(1/2))^n/x^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{x} + a\right)}^{n + 1}}{b {\left(n + 1\right)}}"," ",0,"2*(b*sqrt(x) + a)^(n + 1)/(b*(n + 1))","A",0
2247,1,7,0,0.864021," ","integrate((1+x^(1/2))/x^(1/2),x, algorithm=""maxima"")","{\left(\sqrt{x} + 1\right)}^{2}"," ",0,"(sqrt(x) + 1)^2","C",0
2248,1,9,0,0.826675," ","integrate((1+x^(1/2))^2/x^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(\sqrt{x} + 1\right)}^{3}"," ",0,"2/3*(sqrt(x) + 1)^3","A",0
2249,1,9,0,0.746617," ","integrate((1+x^(1/2))^3/x^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\sqrt{x} + 1\right)}^{4}"," ",0,"1/2*(sqrt(x) + 1)^4","A",0
2250,1,22,0,0.871411," ","integrate(x^(1/2)/(1+x^(1/2)),x, algorithm=""maxima"")","{\left(\sqrt{x} + 1\right)}^{2} - 4 \, \sqrt{x} + 2 \, \log\left(\sqrt{x} + 1\right) - 4"," ",0,"(sqrt(x) + 1)^2 - 4*sqrt(x) + 2*log(sqrt(x) + 1) - 4","A",0
2251,1,8,0,0.855574," ","integrate(1/x^(1/2)/(1+x^(1/2)),x, algorithm=""maxima"")","2 \, \log\left(\sqrt{x} + 1\right)"," ",0,"2*log(sqrt(x) + 1)","A",0
2252,1,9,0,0.807313," ","integrate(1/x^(1/2)/(1+x^(1/2))^2,x, algorithm=""maxima"")","-\frac{2}{\sqrt{x} + 1}"," ",0,"-2/(sqrt(x) + 1)","A",0
2253,1,9,0,0.846088," ","integrate(1/x^(1/2)/(1+x^(1/2))^3,x, algorithm=""maxima"")","-\frac{1}{{\left(\sqrt{x} + 1\right)}^{2}}"," ",0,"-1/(sqrt(x) + 1)^2","A",0
2254,1,28,0,0.855011," ","integrate(x^(1/2)*(1+x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4}{7} \, {\left(\sqrt{x} + 1\right)}^{\frac{7}{2}} - \frac{8}{5} \, {\left(\sqrt{x} + 1\right)}^{\frac{5}{2}} + \frac{4}{3} \, {\left(\sqrt{x} + 1\right)}^{\frac{3}{2}}"," ",0,"4/7*(sqrt(x) + 1)^(7/2) - 8/5*(sqrt(x) + 1)^(5/2) + 4/3*(sqrt(x) + 1)^(3/2)","A",0
2255,1,9,0,0.880951," ","integrate((1+x^(1/2))^(1/2)/x^(1/2),x, algorithm=""maxima"")","\frac{4}{3} \, {\left(\sqrt{x} + 1\right)}^{\frac{3}{2}}"," ",0,"4/3*(sqrt(x) + 1)^(3/2)","A",0
2256,1,48,0,1.984373," ","integrate(x^(1/3)/(1+x^(1/2)),x, algorithm=""maxima"")","2 \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{\frac{1}{6}} - 1\right)}\right) + \frac{6}{5} \, x^{\frac{5}{6}} - 3 \, x^{\frac{1}{3}} + \log\left(x^{\frac{1}{3}} - x^{\frac{1}{6}} + 1\right) - 2 \, \log\left(x^{\frac{1}{6}} + 1\right)"," ",0,"2*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/6) - 1)) + 6/5*x^(5/6) - 3*x^(1/3) + log(x^(1/3) - x^(1/6) + 1) - 2*log(x^(1/6) + 1)","A",0
2257,1,83,0,0.899834," ","integrate(x^m*(a+b*x^(1/2))^4,x, algorithm=""maxima"")","\frac{b^{4} x^{m + 3}}{m + 3} + \frac{8 \, a b^{3} x^{m + \frac{5}{2}}}{2 \, m + 5} + \frac{6 \, a^{2} b^{2} x^{m + 2}}{m + 2} + \frac{8 \, a^{3} b x^{m + \frac{3}{2}}}{2 \, m + 3} + \frac{a^{4} x^{m + 1}}{m + 1}"," ",0,"b^4*x^(m + 3)/(m + 3) + 8*a*b^3*x^(m + 5/2)/(2*m + 5) + 6*a^2*b^2*x^(m + 2)/(m + 2) + 8*a^3*b*x^(m + 3/2)/(2*m + 3) + a^4*x^(m + 1)/(m + 1)","A",0
2258,1,66,0,0.898882," ","integrate(x^m*(a+b*x^(1/2))^3,x, algorithm=""maxima"")","\frac{2 \, b^{3} x^{m + \frac{5}{2}}}{2 \, m + 5} + \frac{3 \, a b^{2} x^{m + 2}}{m + 2} + \frac{6 \, a^{2} b x^{m + \frac{3}{2}}}{2 \, m + 3} + \frac{a^{3} x^{m + 1}}{m + 1}"," ",0,"2*b^3*x^(m + 5/2)/(2*m + 5) + 3*a*b^2*x^(m + 2)/(m + 2) + 6*a^2*b*x^(m + 3/2)/(2*m + 3) + a^3*x^(m + 1)/(m + 1)","A",0
2259,1,45,0,0.896462," ","integrate(x^m*(a+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{b^{2} x^{m + 2}}{m + 2} + \frac{4 \, a b x^{m + \frac{3}{2}}}{2 \, m + 3} + \frac{a^{2} x^{m + 1}}{m + 1}"," ",0,"b^2*x^(m + 2)/(m + 2) + 4*a*b*x^(m + 3/2)/(2*m + 3) + a^2*x^(m + 1)/(m + 1)","A",0
2260,1,28,0,0.887053," ","integrate(x^m*(a+b*x^(1/2)),x, algorithm=""maxima"")","\frac{2 \, b x^{m + \frac{3}{2}}}{2 \, m + 3} + \frac{a x^{m + 1}}{m + 1}"," ",0,"2*b*x^(m + 3/2)/(2*m + 3) + a*x^(m + 1)/(m + 1)","A",0
2261,0,0,0,0.000000," ","integrate(x^m/(a+b*x^(1/2)),x, algorithm=""maxima"")","\int \frac{x^{m}}{b \sqrt{x} + a}\,{d x}"," ",0,"integrate(x^m/(b*sqrt(x) + a), x)","F",0
2262,0,0,0,0.000000," ","integrate(x^m/(a+b*x^(1/2))^2,x, algorithm=""maxima"")","-{\left(2 \, m + 1\right)} \int \frac{x^{m}}{a b \sqrt{x} + a^{2}}\,{d x} + \frac{2 \, x x^{m}}{a b \sqrt{x} + a^{2}}"," ",0,"-(2*m + 1)*integrate(x^m/(a*b*sqrt(x) + a^2), x) + 2*x*x^m/(a*b*sqrt(x) + a^2)","F",0
2263,0,0,0,0.000000," ","integrate(x^m*(a+b*x^(1/2))^p,x, algorithm=""maxima"")","\int {\left(b \sqrt{x} + a\right)}^{p} x^{m}\,{d x}"," ",0,"integrate((b*sqrt(x) + a)^p*x^m, x)","F",0
2264,1,286,0,0.908505," ","integrate(x^3*(a+b*x^(1/2))^p,x, algorithm=""maxima"")","\frac{2 \, {\left({\left(p^{7} + 28 \, p^{6} + 322 \, p^{5} + 1960 \, p^{4} + 6769 \, p^{3} + 13132 \, p^{2} + 13068 \, p + 5040\right)} b^{8} x^{4} + {\left(p^{7} + 21 \, p^{6} + 175 \, p^{5} + 735 \, p^{4} + 1624 \, p^{3} + 1764 \, p^{2} + 720 \, p\right)} a b^{7} x^{\frac{7}{2}} - 7 \, {\left(p^{6} + 15 \, p^{5} + 85 \, p^{4} + 225 \, p^{3} + 274 \, p^{2} + 120 \, p\right)} a^{2} b^{6} x^{3} + 42 \, {\left(p^{5} + 10 \, p^{4} + 35 \, p^{3} + 50 \, p^{2} + 24 \, p\right)} a^{3} b^{5} x^{\frac{5}{2}} - 210 \, {\left(p^{4} + 6 \, p^{3} + 11 \, p^{2} + 6 \, p\right)} a^{4} b^{4} x^{2} + 840 \, {\left(p^{3} + 3 \, p^{2} + 2 \, p\right)} a^{5} b^{3} x^{\frac{3}{2}} - 2520 \, {\left(p^{2} + p\right)} a^{6} b^{2} x + 5040 \, a^{7} b p \sqrt{x} - 5040 \, a^{8}\right)} {\left(b \sqrt{x} + a\right)}^{p}}{{\left(p^{8} + 36 \, p^{7} + 546 \, p^{6} + 4536 \, p^{5} + 22449 \, p^{4} + 67284 \, p^{3} + 118124 \, p^{2} + 109584 \, p + 40320\right)} b^{8}}"," ",0,"2*((p^7 + 28*p^6 + 322*p^5 + 1960*p^4 + 6769*p^3 + 13132*p^2 + 13068*p + 5040)*b^8*x^4 + (p^7 + 21*p^6 + 175*p^5 + 735*p^4 + 1624*p^3 + 1764*p^2 + 720*p)*a*b^7*x^(7/2) - 7*(p^6 + 15*p^5 + 85*p^4 + 225*p^3 + 274*p^2 + 120*p)*a^2*b^6*x^3 + 42*(p^5 + 10*p^4 + 35*p^3 + 50*p^2 + 24*p)*a^3*b^5*x^(5/2) - 210*(p^4 + 6*p^3 + 11*p^2 + 6*p)*a^4*b^4*x^2 + 840*(p^3 + 3*p^2 + 2*p)*a^5*b^3*x^(3/2) - 2520*(p^2 + p)*a^6*b^2*x + 5040*a^7*b*p*sqrt(x) - 5040*a^8)*(b*sqrt(x) + a)^p/((p^8 + 36*p^7 + 546*p^6 + 4536*p^5 + 22449*p^4 + 67284*p^3 + 118124*p^2 + 109584*p + 40320)*b^8)","A",0
2265,1,185,0,0.972110," ","integrate(x^2*(a+b*x^(1/2))^p,x, algorithm=""maxima"")","\frac{2 \, {\left({\left(p^{5} + 15 \, p^{4} + 85 \, p^{3} + 225 \, p^{2} + 274 \, p + 120\right)} b^{6} x^{3} + {\left(p^{5} + 10 \, p^{4} + 35 \, p^{3} + 50 \, p^{2} + 24 \, p\right)} a b^{5} x^{\frac{5}{2}} - 5 \, {\left(p^{4} + 6 \, p^{3} + 11 \, p^{2} + 6 \, p\right)} a^{2} b^{4} x^{2} + 20 \, {\left(p^{3} + 3 \, p^{2} + 2 \, p\right)} a^{3} b^{3} x^{\frac{3}{2}} - 60 \, {\left(p^{2} + p\right)} a^{4} b^{2} x + 120 \, a^{5} b p \sqrt{x} - 120 \, a^{6}\right)} {\left(b \sqrt{x} + a\right)}^{p}}{{\left(p^{6} + 21 \, p^{5} + 175 \, p^{4} + 735 \, p^{3} + 1624 \, p^{2} + 1764 \, p + 720\right)} b^{6}}"," ",0,"2*((p^5 + 15*p^4 + 85*p^3 + 225*p^2 + 274*p + 120)*b^6*x^3 + (p^5 + 10*p^4 + 35*p^3 + 50*p^2 + 24*p)*a*b^5*x^(5/2) - 5*(p^4 + 6*p^3 + 11*p^2 + 6*p)*a^2*b^4*x^2 + 20*(p^3 + 3*p^2 + 2*p)*a^3*b^3*x^(3/2) - 60*(p^2 + p)*a^4*b^2*x + 120*a^5*b*p*sqrt(x) - 120*a^6)*(b*sqrt(x) + a)^p/((p^6 + 21*p^5 + 175*p^4 + 735*p^3 + 1624*p^2 + 1764*p + 720)*b^6)","A",0
2266,1,104,0,0.960382," ","integrate(x*(a+b*x^(1/2))^p,x, algorithm=""maxima"")","\frac{2 \, {\left({\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} b^{4} x^{2} + {\left(p^{3} + 3 \, p^{2} + 2 \, p\right)} a b^{3} x^{\frac{3}{2}} - 3 \, {\left(p^{2} + p\right)} a^{2} b^{2} x + 6 \, a^{3} b p \sqrt{x} - 6 \, a^{4}\right)} {\left(b \sqrt{x} + a\right)}^{p}}{{\left(p^{4} + 10 \, p^{3} + 35 \, p^{2} + 50 \, p + 24\right)} b^{4}}"," ",0,"2*((p^3 + 6*p^2 + 11*p + 6)*b^4*x^2 + (p^3 + 3*p^2 + 2*p)*a*b^3*x^(3/2) - 3*(p^2 + p)*a^2*b^2*x + 6*a^3*b*p*sqrt(x) - 6*a^4)*(b*sqrt(x) + a)^p/((p^4 + 10*p^3 + 35*p^2 + 50*p + 24)*b^4)","A",0
2267,1,45,0,0.935268," ","integrate((a+b*x^(1/2))^p,x, algorithm=""maxima"")","\frac{2 \, {\left(b^{2} {\left(p + 1\right)} x + a b p \sqrt{x} - a^{2}\right)} {\left(b \sqrt{x} + a\right)}^{p}}{{\left(p^{2} + 3 \, p + 2\right)} b^{2}}"," ",0,"2*(b^2*(p + 1)*x + a*b*p*sqrt(x) - a^2)*(b*sqrt(x) + a)^p/((p^2 + 3*p + 2)*b^2)","A",0
2268,0,0,0,0.000000," ","integrate((a+b*x^(1/2))^p/x,x, algorithm=""maxima"")","\int \frac{{\left(b \sqrt{x} + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*sqrt(x) + a)^p/x, x)","F",0
2269,0,0,0,0.000000," ","integrate((a+b*x^(1/2))^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b \sqrt{x} + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*sqrt(x) + a)^p/x^2, x)","F",0
2270,1,8,0,0.830221," ","integrate(x^(1/2)/(1+x^(3/2)),x, algorithm=""maxima"")","\frac{2}{3} \, \log\left(x^{\frac{3}{2}} + 1\right)"," ",0,"2/3*log(x^(3/2) + 1)","A",0
2271,1,184,0,1.940938," ","integrate(x^3/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","\frac{10 \, \sqrt{3} a^{2} \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}}}{\sqrt{x}}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{27 \, b^{\frac{8}{3}}} + \frac{5 \, a^{2} \log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{\sqrt{x}} + \frac{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{2}{3}}}{x}\right)}{27 \, b^{\frac{8}{3}}} - \frac{10 \, a^{2} \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}}}{\sqrt{x}}\right)}{27 \, b^{\frac{8}{3}}} + \frac{\frac{8 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} a^{2} b}{\sqrt{x}} - \frac{5 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{4}{3}} a^{2}}{x^{2}}}{9 \, {\left(b^{4} - \frac{2 \, {\left(b x^{\frac{3}{2}} + a\right)} b^{3}}{x^{\frac{3}{2}}} + \frac{{\left(b x^{\frac{3}{2}} + a\right)}^{2} b^{2}}{x^{3}}\right)}}"," ",0,"10/27*sqrt(3)*a^2*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^(3/2) + a)^(1/3)/sqrt(x))/b^(1/3))/b^(8/3) + 5/27*a^2*log(b^(2/3) + (b*x^(3/2) + a)^(1/3)*b^(1/3)/sqrt(x) + (b*x^(3/2) + a)^(2/3)/x)/b^(8/3) - 10/27*a^2*log(-b^(1/3) + (b*x^(3/2) + a)^(1/3)/sqrt(x))/b^(8/3) + 1/9*(8*(b*x^(3/2) + a)^(1/3)*a^2*b/sqrt(x) - 5*(b*x^(3/2) + a)^(4/3)*a^2/x^2)/(b^4 - 2*(b*x^(3/2) + a)*b^3/x^(3/2) + (b*x^(3/2) + a)^2*b^2/x^3)","A",0
2272,1,100,0,1.886660," ","integrate(1/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(b^{\frac{1}{3}} + \frac{2 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}}}{\sqrt{x}}\right)}}{3 \, b^{\frac{1}{3}}}\right)}{3 \, b^{\frac{2}{3}}} + \frac{\log\left(b^{\frac{2}{3}} + \frac{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} b^{\frac{1}{3}}}{\sqrt{x}} + \frac{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{2}{3}}}{x}\right)}{3 \, b^{\frac{2}{3}}} - \frac{2 \, \log\left(-b^{\frac{1}{3}} + \frac{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}}}{\sqrt{x}}\right)}{3 \, b^{\frac{2}{3}}}"," ",0,"2/3*sqrt(3)*arctan(1/3*sqrt(3)*(b^(1/3) + 2*(b*x^(3/2) + a)^(1/3)/sqrt(x))/b^(1/3))/b^(2/3) + 1/3*log(b^(2/3) + (b*x^(3/2) + a)^(1/3)*b^(1/3)/sqrt(x) + (b*x^(3/2) + a)^(2/3)/x)/b^(2/3) - 2/3*log(-b^(1/3) + (b*x^(3/2) + a)^(1/3)/sqrt(x))/b^(2/3)","A",0
2273,1,35,0,0.819472," ","integrate(1/x^3/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","\frac{\frac{4 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} b}{\sqrt{x}} - \frac{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{4}{3}}}{x^{2}}}{2 \, a^{2}}"," ",0,"1/2*(4*(b*x^(3/2) + a)^(1/3)*b/sqrt(x) - (b*x^(3/2) + a)^(4/3)/x^2)/a^2","A",0
2274,1,69,0,0.849642," ","integrate(1/x^6/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","\frac{\frac{140 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} b^{3}}{\sqrt{x}} - \frac{105 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{4}{3}} b^{2}}{x^{2}} + \frac{60 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{7}{3}} b}{x^{\frac{7}{2}}} - \frac{14 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{10}{3}}}{x^{5}}}{70 \, a^{4}}"," ",0,"1/70*(140*(b*x^(3/2) + a)^(1/3)*b^3/sqrt(x) - 105*(b*x^(3/2) + a)^(4/3)*b^2/x^2 + 60*(b*x^(3/2) + a)^(7/3)*b/x^(7/2) - 14*(b*x^(3/2) + a)^(10/3)/x^5)/a^4","A",0
2275,1,103,0,0.833445," ","integrate(1/x^9/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","\frac{\frac{1456 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} b^{5}}{\sqrt{x}} - \frac{1820 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{4}{3}} b^{4}}{x^{2}} + \frac{2080 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{7}{3}} b^{3}}{x^{\frac{7}{2}}} - \frac{1456 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{10}{3}} b^{2}}{x^{5}} + \frac{560 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{13}{3}} b}{x^{\frac{13}{2}}} - \frac{91 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{16}{3}}}{x^{8}}}{728 \, a^{6}}"," ",0,"1/728*(1456*(b*x^(3/2) + a)^(1/3)*b^5/sqrt(x) - 1820*(b*x^(3/2) + a)^(4/3)*b^4/x^2 + 2080*(b*x^(3/2) + a)^(7/3)*b^3/x^(7/2) - 1456*(b*x^(3/2) + a)^(10/3)*b^2/x^5 + 560*(b*x^(3/2) + a)^(13/3)*b/x^(13/2) - 91*(b*x^(3/2) + a)^(16/3)/x^8)/a^6","A",0
2276,1,98,0,0.902215," ","integrate(x^8/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","\frac{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{16}{3}}}{8 \, b^{6}} - \frac{10 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{13}{3}} a}{13 \, b^{6}} + \frac{2 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{10}{3}} a^{2}}{b^{6}} - \frac{20 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{7}{3}} a^{3}}{7 \, b^{6}} + \frac{5 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{4}{3}} a^{4}}{2 \, b^{6}} - \frac{2 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} a^{5}}{b^{6}}"," ",0,"1/8*(b*x^(3/2) + a)^(16/3)/b^6 - 10/13*(b*x^(3/2) + a)^(13/3)*a/b^6 + 2*(b*x^(3/2) + a)^(10/3)*a^2/b^6 - 20/7*(b*x^(3/2) + a)^(7/3)*a^3/b^6 + 5/2*(b*x^(3/2) + a)^(4/3)*a^4/b^6 - 2*(b*x^(3/2) + a)^(1/3)*a^5/b^6","A",0
2277,1,64,0,0.902751," ","integrate(x^5/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","\frac{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{10}{3}}}{5 \, b^{4}} - \frac{6 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{7}{3}} a}{7 \, b^{4}} + \frac{3 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{4}{3}} a^{2}}{2 \, b^{4}} - \frac{2 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} a^{3}}{b^{4}}"," ",0,"1/5*(b*x^(3/2) + a)^(10/3)/b^4 - 6/7*(b*x^(3/2) + a)^(7/3)*a/b^4 + 3/2*(b*x^(3/2) + a)^(4/3)*a^2/b^4 - 2*(b*x^(3/2) + a)^(1/3)*a^3/b^4","A",0
2278,1,30,0,0.904463," ","integrate(x^2/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","\frac{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{4}{3}}}{2 \, b^{2}} - \frac{2 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} a}{b^{2}}"," ",0,"1/2*(b*x^(3/2) + a)^(4/3)/b^2 - 2*(b*x^(3/2) + a)^(1/3)*a/b^2","A",0
2279,1,86,0,1.852724," ","integrate(1/x/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{3 \, a^{\frac{2}{3}}} - \frac{\log\left({\left(b x^{\frac{3}{2}} + a\right)}^{\frac{2}{3}} + {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{3 \, a^{\frac{2}{3}}} + \frac{2 \, \log\left({\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{3 \, a^{\frac{2}{3}}}"," ",0,"-2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*(b*x^(3/2) + a)^(1/3) + a^(1/3))/a^(1/3))/a^(2/3) - 1/3*log((b*x^(3/2) + a)^(2/3) + (b*x^(3/2) + a)^(1/3)*a^(1/3) + a^(2/3))/a^(2/3) + 2/3*log((b*x^(3/2) + a)^(1/3) - a^(1/3))/a^(2/3)","A",0
2280,1,158,0,1.931818," ","integrate(1/x^4/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","-\frac{10 \, \sqrt{3} b^{2} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{27 \, a^{\frac{8}{3}}} - \frac{5 \, b^{2} \log\left({\left(b x^{\frac{3}{2}} + a\right)}^{\frac{2}{3}} + {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{27 \, a^{\frac{8}{3}}} + \frac{10 \, b^{2} \log\left({\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{27 \, a^{\frac{8}{3}}} + \frac{5 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{4}{3}} b^{2} - 8 \, {\left(b x^{\frac{3}{2}} + a\right)}^{\frac{1}{3}} a b^{2}}{9 \, {\left({\left(b x^{\frac{3}{2}} + a\right)}^{2} a^{2} - 2 \, {\left(b x^{\frac{3}{2}} + a\right)} a^{3} + a^{4}\right)}}"," ",0,"-10/27*sqrt(3)*b^2*arctan(1/3*sqrt(3)*(2*(b*x^(3/2) + a)^(1/3) + a^(1/3))/a^(1/3))/a^(8/3) - 5/27*b^2*log((b*x^(3/2) + a)^(2/3) + (b*x^(3/2) + a)^(1/3)*a^(1/3) + a^(2/3))/a^(8/3) + 10/27*b^2*log((b*x^(3/2) + a)^(1/3) - a^(1/3))/a^(8/3) + 1/9*(5*(b*x^(3/2) + a)^(4/3)*b^2 - 8*(b*x^(3/2) + a)^(1/3)*a*b^2)/((b*x^(3/2) + a)^2*a^2 - 2*(b*x^(3/2) + a)*a^3 + a^4)","A",0
2281,0,0,0,0.000000," ","integrate(x^4/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(x^4/(b*x^(3/2) + a)^(2/3), x)","F",0
2282,0,0,0,0.000000," ","integrate(x/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(x/(b*x^(3/2) + a)^(2/3), x)","F",0
2283,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{2}{3}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^(3/2) + a)^(2/3)*x^2), x)","F",0
2284,0,0,0,0.000000," ","integrate(1/x^5/(a+b*x^(3/2))^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{\frac{3}{2}} + a\right)}^{\frac{2}{3}} x^{5}}\,{d x}"," ",0,"integrate(1/((b*x^(3/2) + a)^(2/3)*x^5), x)","F",0
2285,1,251,0,0.823739," ","integrate((a+b*x^(1/3))*x^4,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16}}{16 \, b^{15}} - \frac{14 \, {\left(b x^{\frac{1}{3}} + a\right)}^{15} a}{5 \, b^{15}} + \frac{39 \, {\left(b x^{\frac{1}{3}} + a\right)}^{14} a^{2}}{2 \, b^{15}} - \frac{84 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13} a^{3}}{b^{15}} + \frac{1001 \, {\left(b x^{\frac{1}{3}} + a\right)}^{12} a^{4}}{4 \, b^{15}} - \frac{546 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{5}}{b^{15}} + \frac{9009 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10} a^{6}}{10 \, b^{15}} - \frac{1144 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a^{7}}{b^{15}} + \frac{9009 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{8}}{8 \, b^{15}} - \frac{858 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{9}}{b^{15}} + \frac{1001 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{10}}{2 \, b^{15}} - \frac{1092 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{11}}{5 \, b^{15}} + \frac{273 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{12}}{4 \, b^{15}} - \frac{14 \, {\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{13}}{b^{15}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} a^{14}}{2 \, b^{15}}"," ",0,"3/16*(b*x^(1/3) + a)^16/b^15 - 14/5*(b*x^(1/3) + a)^15*a/b^15 + 39/2*(b*x^(1/3) + a)^14*a^2/b^15 - 84*(b*x^(1/3) + a)^13*a^3/b^15 + 1001/4*(b*x^(1/3) + a)^12*a^4/b^15 - 546*(b*x^(1/3) + a)^11*a^5/b^15 + 9009/10*(b*x^(1/3) + a)^10*a^6/b^15 - 1144*(b*x^(1/3) + a)^9*a^7/b^15 + 9009/8*(b*x^(1/3) + a)^8*a^8/b^15 - 858*(b*x^(1/3) + a)^7*a^9/b^15 + 1001/2*(b*x^(1/3) + a)^6*a^10/b^15 - 1092/5*(b*x^(1/3) + a)^5*a^11/b^15 + 273/4*(b*x^(1/3) + a)^4*a^12/b^15 - 14*(b*x^(1/3) + a)^3*a^13/b^15 + 3/2*(b*x^(1/3) + a)^2*a^14/b^15","B",0
2286,1,200,0,0.936467," ","integrate((a+b*x^(1/3))*x^3,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13}}{13 \, b^{12}} - \frac{11 \, {\left(b x^{\frac{1}{3}} + a\right)}^{12} a}{4 \, b^{12}} + \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{2}}{b^{12}} - \frac{99 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10} a^{3}}{2 \, b^{12}} + \frac{110 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a^{4}}{b^{12}} - \frac{693 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{5}}{4 \, b^{12}} + \frac{198 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{6}}{b^{12}} - \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{7}}{b^{12}} + \frac{99 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{8}}{b^{12}} - \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{9}}{4 \, b^{12}} + \frac{11 \, {\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{10}}{b^{12}} - \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} a^{11}}{2 \, b^{12}}"," ",0,"3/13*(b*x^(1/3) + a)^13/b^12 - 11/4*(b*x^(1/3) + a)^12*a/b^12 + 15*(b*x^(1/3) + a)^11*a^2/b^12 - 99/2*(b*x^(1/3) + a)^10*a^3/b^12 + 110*(b*x^(1/3) + a)^9*a^4/b^12 - 693/4*(b*x^(1/3) + a)^8*a^5/b^12 + 198*(b*x^(1/3) + a)^7*a^6/b^12 - 165*(b*x^(1/3) + a)^6*a^7/b^12 + 99*(b*x^(1/3) + a)^5*a^8/b^12 - 165/4*(b*x^(1/3) + a)^4*a^9/b^12 + 11*(b*x^(1/3) + a)^3*a^10/b^12 - 3/2*(b*x^(1/3) + a)^2*a^11/b^12","B",0
2287,1,149,0,0.899258," ","integrate((a+b*x^(1/3))*x^2,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10}}{10 \, b^{9}} - \frac{8 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a}{3 \, b^{9}} + \frac{21 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{2}}{2 \, b^{9}} - \frac{24 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{3}}{b^{9}} + \frac{35 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{4}}{b^{9}} - \frac{168 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{5}}{5 \, b^{9}} + \frac{21 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{6}}{b^{9}} - \frac{8 \, {\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{7}}{b^{9}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} a^{8}}{2 \, b^{9}}"," ",0,"3/10*(b*x^(1/3) + a)^10/b^9 - 8/3*(b*x^(1/3) + a)^9*a/b^9 + 21/2*(b*x^(1/3) + a)^8*a^2/b^9 - 24*(b*x^(1/3) + a)^7*a^3/b^9 + 35*(b*x^(1/3) + a)^6*a^4/b^9 - 168/5*(b*x^(1/3) + a)^5*a^5/b^9 + 21*(b*x^(1/3) + a)^4*a^6/b^9 - 8*(b*x^(1/3) + a)^3*a^7/b^9 + 3/2*(b*x^(1/3) + a)^2*a^8/b^9","B",0
2288,1,98,0,0.823124," ","integrate((a+b*x^(1/3))*x,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7}}{7 \, b^{6}} - \frac{5 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a}{2 \, b^{6}} + \frac{6 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{2}}{b^{6}} - \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{3}}{2 \, b^{6}} + \frac{5 \, {\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{4}}{b^{6}} - \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} a^{5}}{2 \, b^{6}}"," ",0,"3/7*(b*x^(1/3) + a)^7/b^6 - 5/2*(b*x^(1/3) + a)^6*a/b^6 + 6*(b*x^(1/3) + a)^5*a^2/b^6 - 15/2*(b*x^(1/3) + a)^4*a^3/b^6 + 5*(b*x^(1/3) + a)^3*a^4/b^6 - 3/2*(b*x^(1/3) + a)^2*a^5/b^6","B",0
2289,1,10,0,0.870729," ","integrate(a+b*x^(1/3),x, algorithm=""maxima"")","\frac{3}{4} \, b x^{\frac{4}{3}} + a x"," ",0,"3/4*b*x^(4/3) + a*x","A",0
2290,1,11,0,0.896036," ","integrate((a+b*x^(1/3))/x,x, algorithm=""maxima"")","a \log\left(x\right) + 3 \, b x^{\frac{1}{3}}"," ",0,"a*log(x) + 3*b*x^(1/3)","A",0
2291,1,15,0,0.905102," ","integrate((a+b*x^(1/3))/x^2,x, algorithm=""maxima"")","-\frac{3 \, b x^{\frac{1}{3}} + 2 \, a}{2 \, x}"," ",0,"-1/2*(3*b*x^(1/3) + 2*a)/x","A",0
2292,1,15,0,0.837311," ","integrate((a+b*x^(1/3))/x^3,x, algorithm=""maxima"")","-\frac{6 \, b x^{\frac{1}{3}} + 5 \, a}{10 \, x^{2}}"," ",0,"-1/10*(6*b*x^(1/3) + 5*a)/x^2","A",0
2293,1,15,0,0.870776," ","integrate((a+b*x^(1/3))/x^4,x, algorithm=""maxima"")","-\frac{9 \, b x^{\frac{1}{3}} + 8 \, a}{24 \, x^{3}}"," ",0,"-1/24*(9*b*x^(1/3) + 8*a)/x^3","A",0
2294,1,250,0,0.915929," ","integrate((a+b*x^(1/3))^2*x^4,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{17}}{17 \, b^{15}} - \frac{21 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16} a}{8 \, b^{15}} + \frac{91 \, {\left(b x^{\frac{1}{3}} + a\right)}^{15} a^{2}}{5 \, b^{15}} - \frac{78 \, {\left(b x^{\frac{1}{3}} + a\right)}^{14} a^{3}}{b^{15}} + \frac{231 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13} a^{4}}{b^{15}} - \frac{1001 \, {\left(b x^{\frac{1}{3}} + a\right)}^{12} a^{5}}{2 \, b^{15}} + \frac{819 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{6}}{b^{15}} - \frac{5148 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10} a^{7}}{5 \, b^{15}} + \frac{1001 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a^{8}}{b^{15}} - \frac{3003 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{9}}{4 \, b^{15}} + \frac{429 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{10}}{b^{15}} - \frac{182 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{11}}{b^{15}} + \frac{273 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{12}}{5 \, b^{15}} - \frac{21 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{13}}{2 \, b^{15}} + \frac{{\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{14}}{b^{15}}"," ",0,"3/17*(b*x^(1/3) + a)^17/b^15 - 21/8*(b*x^(1/3) + a)^16*a/b^15 + 91/5*(b*x^(1/3) + a)^15*a^2/b^15 - 78*(b*x^(1/3) + a)^14*a^3/b^15 + 231*(b*x^(1/3) + a)^13*a^4/b^15 - 1001/2*(b*x^(1/3) + a)^12*a^5/b^15 + 819*(b*x^(1/3) + a)^11*a^6/b^15 - 5148/5*(b*x^(1/3) + a)^10*a^7/b^15 + 1001*(b*x^(1/3) + a)^9*a^8/b^15 - 3003/4*(b*x^(1/3) + a)^8*a^9/b^15 + 429*(b*x^(1/3) + a)^7*a^10/b^15 - 182*(b*x^(1/3) + a)^6*a^11/b^15 + 273/5*(b*x^(1/3) + a)^5*a^12/b^15 - 21/2*(b*x^(1/3) + a)^4*a^13/b^15 + (b*x^(1/3) + a)^3*a^14/b^15","B",0
2295,1,200,0,0.918618," ","integrate((a+b*x^(1/3))^2*x^3,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{14}}{14 \, b^{12}} - \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13} a}{13 \, b^{12}} + \frac{55 \, {\left(b x^{\frac{1}{3}} + a\right)}^{12} a^{2}}{4 \, b^{12}} - \frac{45 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{3}}{b^{12}} + \frac{99 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10} a^{4}}{b^{12}} - \frac{154 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a^{5}}{b^{12}} + \frac{693 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{6}}{4 \, b^{12}} - \frac{990 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{7}}{7 \, b^{12}} + \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{8}}{2 \, b^{12}} - \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{9}}{b^{12}} + \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{10}}{4 \, b^{12}} - \frac{{\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{11}}{b^{12}}"," ",0,"3/14*(b*x^(1/3) + a)^14/b^12 - 33/13*(b*x^(1/3) + a)^13*a/b^12 + 55/4*(b*x^(1/3) + a)^12*a^2/b^12 - 45*(b*x^(1/3) + a)^11*a^3/b^12 + 99*(b*x^(1/3) + a)^10*a^4/b^12 - 154*(b*x^(1/3) + a)^9*a^5/b^12 + 693/4*(b*x^(1/3) + a)^8*a^6/b^12 - 990/7*(b*x^(1/3) + a)^7*a^7/b^12 + 165/2*(b*x^(1/3) + a)^6*a^8/b^12 - 33*(b*x^(1/3) + a)^5*a^9/b^12 + 33/4*(b*x^(1/3) + a)^4*a^10/b^12 - (b*x^(1/3) + a)^3*a^11/b^12","B",0
2296,1,148,0,0.893405," ","integrate((a+b*x^(1/3))^2*x^2,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11}}{11 \, b^{9}} - \frac{12 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10} a}{5 \, b^{9}} + \frac{28 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a^{2}}{3 \, b^{9}} - \frac{21 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{3}}{b^{9}} + \frac{30 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{4}}{b^{9}} - \frac{28 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{5}}{b^{9}} + \frac{84 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{6}}{5 \, b^{9}} - \frac{6 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{7}}{b^{9}} + \frac{{\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{8}}{b^{9}}"," ",0,"3/11*(b*x^(1/3) + a)^11/b^9 - 12/5*(b*x^(1/3) + a)^10*a/b^9 + 28/3*(b*x^(1/3) + a)^9*a^2/b^9 - 21*(b*x^(1/3) + a)^8*a^3/b^9 + 30*(b*x^(1/3) + a)^7*a^4/b^9 - 28*(b*x^(1/3) + a)^6*a^5/b^9 + 84/5*(b*x^(1/3) + a)^5*a^6/b^9 - 6*(b*x^(1/3) + a)^4*a^7/b^9 + (b*x^(1/3) + a)^3*a^8/b^9","B",0
2297,1,98,0,0.920670," ","integrate((a+b*x^(1/3))^2*x,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8}}{8 \, b^{6}} - \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a}{7 \, b^{6}} + \frac{5 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{2}}{b^{6}} - \frac{6 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{3}}{b^{6}} + \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{4}}{4 \, b^{6}} - \frac{{\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{5}}{b^{6}}"," ",0,"3/8*(b*x^(1/3) + a)^8/b^6 - 15/7*(b*x^(1/3) + a)^7*a/b^6 + 5*(b*x^(1/3) + a)^6*a^2/b^6 - 6*(b*x^(1/3) + a)^5*a^3/b^6 + 15/4*(b*x^(1/3) + a)^4*a^4/b^6 - (b*x^(1/3) + a)^3*a^5/b^6","B",0
2298,1,21,0,0.881302," ","integrate((a+b*x^(1/3))^2,x, algorithm=""maxima"")","\frac{3}{5} \, b^{2} x^{\frac{5}{3}} + \frac{3}{2} \, a b x^{\frac{4}{3}} + a^{2} x"," ",0,"3/5*b^2*x^(5/3) + 3/2*a*b*x^(4/3) + a^2*x","A",0
2299,1,22,0,0.890631," ","integrate((a+b*x^(1/3))^2/x,x, algorithm=""maxima"")","a^{2} \log\left(x\right) + \frac{3}{2} \, b^{2} x^{\frac{2}{3}} + 6 \, a b x^{\frac{1}{3}}"," ",0,"a^2*log(x) + 3/2*b^2*x^(2/3) + 6*a*b*x^(1/3)","A",0
2300,1,24,0,0.932250," ","integrate((a+b*x^(1/3))^2/x^2,x, algorithm=""maxima"")","-\frac{3 \, b^{2} x^{\frac{2}{3}} + 3 \, a b x^{\frac{1}{3}} + a^{2}}{x}"," ",0,"-(3*b^2*x^(2/3) + 3*a*b*x^(1/3) + a^2)/x","A",0
2301,1,26,0,0.917177," ","integrate((a+b*x^(1/3))^2/x^3,x, algorithm=""maxima"")","-\frac{15 \, b^{2} x^{\frac{2}{3}} + 24 \, a b x^{\frac{1}{3}} + 10 \, a^{2}}{20 \, x^{2}}"," ",0,"-1/20*(15*b^2*x^(2/3) + 24*a*b*x^(1/3) + 10*a^2)/x^2","A",0
2302,1,26,0,0.916640," ","integrate((a+b*x^(1/3))^2/x^4,x, algorithm=""maxima"")","-\frac{36 \, b^{2} x^{\frac{2}{3}} + 63 \, a b x^{\frac{1}{3}} + 28 \, a^{2}}{84 \, x^{3}}"," ",0,"-1/84*(36*b^2*x^(2/3) + 63*a*b*x^(1/3) + 28*a^2)/x^3","A",0
2303,1,251,0,0.848870," ","integrate((a+b*x^(1/3))^3*x^4,x, algorithm=""maxima"")","\frac{{\left(b x^{\frac{1}{3}} + a\right)}^{18}}{6 \, b^{15}} - \frac{42 \, {\left(b x^{\frac{1}{3}} + a\right)}^{17} a}{17 \, b^{15}} + \frac{273 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16} a^{2}}{16 \, b^{15}} - \frac{364 \, {\left(b x^{\frac{1}{3}} + a\right)}^{15} a^{3}}{5 \, b^{15}} + \frac{429 \, {\left(b x^{\frac{1}{3}} + a\right)}^{14} a^{4}}{2 \, b^{15}} - \frac{462 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13} a^{5}}{b^{15}} + \frac{3003 \, {\left(b x^{\frac{1}{3}} + a\right)}^{12} a^{6}}{4 \, b^{15}} - \frac{936 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{7}}{b^{15}} + \frac{9009 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10} a^{8}}{10 \, b^{15}} - \frac{2002 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a^{9}}{3 \, b^{15}} + \frac{3003 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{10}}{8 \, b^{15}} - \frac{156 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{11}}{b^{15}} + \frac{91 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{12}}{2 \, b^{15}} - \frac{42 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{13}}{5 \, b^{15}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{14}}{4 \, b^{15}}"," ",0,"1/6*(b*x^(1/3) + a)^18/b^15 - 42/17*(b*x^(1/3) + a)^17*a/b^15 + 273/16*(b*x^(1/3) + a)^16*a^2/b^15 - 364/5*(b*x^(1/3) + a)^15*a^3/b^15 + 429/2*(b*x^(1/3) + a)^14*a^4/b^15 - 462*(b*x^(1/3) + a)^13*a^5/b^15 + 3003/4*(b*x^(1/3) + a)^12*a^6/b^15 - 936*(b*x^(1/3) + a)^11*a^7/b^15 + 9009/10*(b*x^(1/3) + a)^10*a^8/b^15 - 2002/3*(b*x^(1/3) + a)^9*a^9/b^15 + 3003/8*(b*x^(1/3) + a)^8*a^10/b^15 - 156*(b*x^(1/3) + a)^7*a^11/b^15 + 91/2*(b*x^(1/3) + a)^6*a^12/b^15 - 42/5*(b*x^(1/3) + a)^5*a^13/b^15 + 3/4*(b*x^(1/3) + a)^4*a^14/b^15","B",0
2304,1,200,0,0.902117," ","integrate((a+b*x^(1/3))^3*x^3,x, algorithm=""maxima"")","\frac{{\left(b x^{\frac{1}{3}} + a\right)}^{15}}{5 \, b^{12}} - \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)}^{14} a}{14 \, b^{12}} + \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13} a^{2}}{13 \, b^{12}} - \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{12} a^{3}}{4 \, b^{12}} + \frac{90 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{4}}{b^{12}} - \frac{693 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10} a^{5}}{5 \, b^{12}} + \frac{154 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a^{6}}{b^{12}} - \frac{495 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{7}}{4 \, b^{12}} + \frac{495 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{8}}{7 \, b^{12}} - \frac{55 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{9}}{2 \, b^{12}} + \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{10}}{5 \, b^{12}} - \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{11}}{4 \, b^{12}}"," ",0,"1/5*(b*x^(1/3) + a)^15/b^12 - 33/14*(b*x^(1/3) + a)^14*a/b^12 + 165/13*(b*x^(1/3) + a)^13*a^2/b^12 - 165/4*(b*x^(1/3) + a)^12*a^3/b^12 + 90*(b*x^(1/3) + a)^11*a^4/b^12 - 693/5*(b*x^(1/3) + a)^10*a^5/b^12 + 154*(b*x^(1/3) + a)^9*a^6/b^12 - 495/4*(b*x^(1/3) + a)^8*a^7/b^12 + 495/7*(b*x^(1/3) + a)^7*a^8/b^12 - 55/2*(b*x^(1/3) + a)^6*a^9/b^12 + 33/5*(b*x^(1/3) + a)^5*a^10/b^12 - 3/4*(b*x^(1/3) + a)^4*a^11/b^12","B",0
2305,1,149,0,0.902916," ","integrate((a+b*x^(1/3))^3*x^2,x, algorithm=""maxima"")","\frac{{\left(b x^{\frac{1}{3}} + a\right)}^{12}}{4 \, b^{9}} - \frac{24 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a}{11 \, b^{9}} + \frac{42 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10} a^{2}}{5 \, b^{9}} - \frac{56 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a^{3}}{3 \, b^{9}} + \frac{105 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{4}}{4 \, b^{9}} - \frac{24 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{5}}{b^{9}} + \frac{14 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{6}}{b^{9}} - \frac{24 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{7}}{5 \, b^{9}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{8}}{4 \, b^{9}}"," ",0,"1/4*(b*x^(1/3) + a)^12/b^9 - 24/11*(b*x^(1/3) + a)^11*a/b^9 + 42/5*(b*x^(1/3) + a)^10*a^2/b^9 - 56/3*(b*x^(1/3) + a)^9*a^3/b^9 + 105/4*(b*x^(1/3) + a)^8*a^4/b^9 - 24*(b*x^(1/3) + a)^7*a^5/b^9 + 14*(b*x^(1/3) + a)^6*a^6/b^9 - 24/5*(b*x^(1/3) + a)^5*a^7/b^9 + 3/4*(b*x^(1/3) + a)^4*a^8/b^9","B",0
2306,1,98,0,0.902346," ","integrate((a+b*x^(1/3))^3*x,x, algorithm=""maxima"")","\frac{{\left(b x^{\frac{1}{3}} + a\right)}^{9}}{3 \, b^{6}} - \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a}{8 \, b^{6}} + \frac{30 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{2}}{7 \, b^{6}} - \frac{5 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{3}}{b^{6}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{4}}{b^{6}} - \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{5}}{4 \, b^{6}}"," ",0,"1/3*(b*x^(1/3) + a)^9/b^6 - 15/8*(b*x^(1/3) + a)^8*a/b^6 + 30/7*(b*x^(1/3) + a)^7*a^2/b^6 - 5*(b*x^(1/3) + a)^6*a^3/b^6 + 3*(b*x^(1/3) + a)^5*a^4/b^6 - 3/4*(b*x^(1/3) + a)^4*a^5/b^6","B",0
2307,1,32,0,0.816660," ","integrate((a+b*x^(1/3))^3,x, algorithm=""maxima"")","\frac{1}{2} \, b^{3} x^{2} + \frac{9}{5} \, a b^{2} x^{\frac{5}{3}} + \frac{9}{4} \, a^{2} b x^{\frac{4}{3}} + a^{3} x"," ",0,"1/2*b^3*x^2 + 9/5*a*b^2*x^(5/3) + 9/4*a^2*b*x^(4/3) + a^3*x","A",0
2308,1,30,0,0.882462," ","integrate((a+b*x^(1/3))^3/x,x, algorithm=""maxima"")","b^{3} x + a^{3} \log\left(x\right) + \frac{9}{2} \, a b^{2} x^{\frac{2}{3}} + 9 \, a^{2} b x^{\frac{1}{3}}"," ",0,"b^3*x + a^3*log(x) + 9/2*a*b^2*x^(2/3) + 9*a^2*b*x^(1/3)","A",0
2309,1,36,0,0.900597," ","integrate((a+b*x^(1/3))^3/x^2,x, algorithm=""maxima"")","b^{3} \log\left(x\right) - \frac{18 \, a b^{2} x^{\frac{2}{3}} + 9 \, a^{2} b x^{\frac{1}{3}} + 2 \, a^{3}}{2 \, x}"," ",0,"b^3*log(x) - 1/2*(18*a*b^2*x^(2/3) + 9*a^2*b*x^(1/3) + 2*a^3)/x","A",0
2310,1,35,0,0.863016," ","integrate((a+b*x^(1/3))^3/x^3,x, algorithm=""maxima"")","-\frac{20 \, b^{3} x + 45 \, a b^{2} x^{\frac{2}{3}} + 36 \, a^{2} b x^{\frac{1}{3}} + 10 \, a^{3}}{20 \, x^{2}}"," ",0,"-1/20*(20*b^3*x + 45*a*b^2*x^(2/3) + 36*a^2*b*x^(1/3) + 10*a^3)/x^2","A",0
2311,1,35,0,0.807824," ","integrate((a+b*x^(1/3))^3/x^4,x, algorithm=""maxima"")","-\frac{84 \, b^{3} x + 216 \, a b^{2} x^{\frac{2}{3}} + 189 \, a^{2} b x^{\frac{1}{3}} + 56 \, a^{3}}{168 \, x^{3}}"," ",0,"-1/168*(84*b^3*x + 216*a*b^2*x^(2/3) + 189*a^2*b*x^(1/3) + 56*a^3)/x^3","A",0
2312,1,251,0,0.884365," ","integrate((a+b*x^(1/3))^5*x^4,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{20}}{20 \, b^{15}} - \frac{42 \, {\left(b x^{\frac{1}{3}} + a\right)}^{19} a}{19 \, b^{15}} + \frac{91 \, {\left(b x^{\frac{1}{3}} + a\right)}^{18} a^{2}}{6 \, b^{15}} - \frac{1092 \, {\left(b x^{\frac{1}{3}} + a\right)}^{17} a^{3}}{17 \, b^{15}} + \frac{3003 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16} a^{4}}{16 \, b^{15}} - \frac{2002 \, {\left(b x^{\frac{1}{3}} + a\right)}^{15} a^{5}}{5 \, b^{15}} + \frac{1287 \, {\left(b x^{\frac{1}{3}} + a\right)}^{14} a^{6}}{2 \, b^{15}} - \frac{792 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13} a^{7}}{b^{15}} + \frac{3003 \, {\left(b x^{\frac{1}{3}} + a\right)}^{12} a^{8}}{4 \, b^{15}} - \frac{546 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{9}}{b^{15}} + \frac{3003 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10} a^{10}}{10 \, b^{15}} - \frac{364 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a^{11}}{3 \, b^{15}} + \frac{273 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{12}}{8 \, b^{15}} - \frac{6 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{13}}{b^{15}} + \frac{{\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{14}}{2 \, b^{15}}"," ",0,"3/20*(b*x^(1/3) + a)^20/b^15 - 42/19*(b*x^(1/3) + a)^19*a/b^15 + 91/6*(b*x^(1/3) + a)^18*a^2/b^15 - 1092/17*(b*x^(1/3) + a)^17*a^3/b^15 + 3003/16*(b*x^(1/3) + a)^16*a^4/b^15 - 2002/5*(b*x^(1/3) + a)^15*a^5/b^15 + 1287/2*(b*x^(1/3) + a)^14*a^6/b^15 - 792*(b*x^(1/3) + a)^13*a^7/b^15 + 3003/4*(b*x^(1/3) + a)^12*a^8/b^15 - 546*(b*x^(1/3) + a)^11*a^9/b^15 + 3003/10*(b*x^(1/3) + a)^10*a^10/b^15 - 364/3*(b*x^(1/3) + a)^9*a^11/b^15 + 273/8*(b*x^(1/3) + a)^8*a^12/b^15 - 6*(b*x^(1/3) + a)^7*a^13/b^15 + 1/2*(b*x^(1/3) + a)^6*a^14/b^15","B",0
2313,1,200,0,0.885930," ","integrate((a+b*x^(1/3))^5*x^3,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{17}}{17 \, b^{12}} - \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16} a}{16 \, b^{12}} + \frac{11 \, {\left(b x^{\frac{1}{3}} + a\right)}^{15} a^{2}}{b^{12}} - \frac{495 \, {\left(b x^{\frac{1}{3}} + a\right)}^{14} a^{3}}{14 \, b^{12}} + \frac{990 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13} a^{4}}{13 \, b^{12}} - \frac{231 \, {\left(b x^{\frac{1}{3}} + a\right)}^{12} a^{5}}{2 \, b^{12}} + \frac{126 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{6}}{b^{12}} - \frac{99 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10} a^{7}}{b^{12}} + \frac{55 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a^{8}}{b^{12}} - \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{9}}{8 \, b^{12}} + \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{10}}{7 \, b^{12}} - \frac{{\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{11}}{2 \, b^{12}}"," ",0,"3/17*(b*x^(1/3) + a)^17/b^12 - 33/16*(b*x^(1/3) + a)^16*a/b^12 + 11*(b*x^(1/3) + a)^15*a^2/b^12 - 495/14*(b*x^(1/3) + a)^14*a^3/b^12 + 990/13*(b*x^(1/3) + a)^13*a^4/b^12 - 231/2*(b*x^(1/3) + a)^12*a^5/b^12 + 126*(b*x^(1/3) + a)^11*a^6/b^12 - 99*(b*x^(1/3) + a)^10*a^7/b^12 + 55*(b*x^(1/3) + a)^9*a^8/b^12 - 165/8*(b*x^(1/3) + a)^8*a^9/b^12 + 33/7*(b*x^(1/3) + a)^7*a^10/b^12 - 1/2*(b*x^(1/3) + a)^6*a^11/b^12","B",0
2314,1,149,0,0.891925," ","integrate((a+b*x^(1/3))^5*x^2,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{14}}{14 \, b^{9}} - \frac{24 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13} a}{13 \, b^{9}} + \frac{7 \, {\left(b x^{\frac{1}{3}} + a\right)}^{12} a^{2}}{b^{9}} - \frac{168 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{3}}{11 \, b^{9}} + \frac{21 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10} a^{4}}{b^{9}} - \frac{56 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a^{5}}{3 \, b^{9}} + \frac{21 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{6}}{2 \, b^{9}} - \frac{24 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{7}}{7 \, b^{9}} + \frac{{\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{8}}{2 \, b^{9}}"," ",0,"3/14*(b*x^(1/3) + a)^14/b^9 - 24/13*(b*x^(1/3) + a)^13*a/b^9 + 7*(b*x^(1/3) + a)^12*a^2/b^9 - 168/11*(b*x^(1/3) + a)^11*a^3/b^9 + 21*(b*x^(1/3) + a)^10*a^4/b^9 - 56/3*(b*x^(1/3) + a)^9*a^5/b^9 + 21/2*(b*x^(1/3) + a)^8*a^6/b^9 - 24/7*(b*x^(1/3) + a)^7*a^7/b^9 + 1/2*(b*x^(1/3) + a)^6*a^8/b^9","B",0
2315,1,98,0,0.802855," ","integrate((a+b*x^(1/3))^5*x,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11}}{11 \, b^{6}} - \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10} a}{2 \, b^{6}} + \frac{10 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a^{2}}{3 \, b^{6}} - \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{3}}{4 \, b^{6}} + \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{4}}{7 \, b^{6}} - \frac{{\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{5}}{2 \, b^{6}}"," ",0,"3/11*(b*x^(1/3) + a)^11/b^6 - 3/2*(b*x^(1/3) + a)^10*a/b^6 + 10/3*(b*x^(1/3) + a)^9*a^2/b^6 - 15/4*(b*x^(1/3) + a)^8*a^3/b^6 + 15/7*(b*x^(1/3) + a)^7*a^4/b^6 - 1/2*(b*x^(1/3) + a)^6*a^5/b^6","A",0
2316,1,54,0,0.879411," ","integrate((a+b*x^(1/3))^5,x, algorithm=""maxima"")","\frac{3}{8} \, b^{5} x^{\frac{8}{3}} + \frac{15}{7} \, a b^{4} x^{\frac{7}{3}} + 5 \, a^{2} b^{3} x^{2} + 6 \, a^{3} b^{2} x^{\frac{5}{3}} + \frac{15}{4} \, a^{4} b x^{\frac{4}{3}} + a^{5} x"," ",0,"3/8*b^5*x^(8/3) + 15/7*a*b^4*x^(7/3) + 5*a^2*b^3*x^2 + 6*a^3*b^2*x^(5/3) + 15/4*a^4*b*x^(4/3) + a^5*x","A",0
2317,1,53,0,0.912185," ","integrate((a+b*x^(1/3))^5/x,x, algorithm=""maxima"")","\frac{3}{5} \, b^{5} x^{\frac{5}{3}} + \frac{15}{4} \, a b^{4} x^{\frac{4}{3}} + 10 \, a^{2} b^{3} x + a^{5} \log\left(x\right) + 15 \, a^{3} b^{2} x^{\frac{2}{3}} + 15 \, a^{4} b x^{\frac{1}{3}}"," ",0,"3/5*b^5*x^(5/3) + 15/4*a*b^4*x^(4/3) + 10*a^2*b^3*x + a^5*log(x) + 15*a^3*b^2*x^(2/3) + 15*a^4*b*x^(1/3)","A",0
2318,1,59,0,0.882222," ","integrate((a+b*x^(1/3))^5/x^2,x, algorithm=""maxima"")","10 \, a^{2} b^{3} \log\left(x\right) + \frac{3}{2} \, b^{5} x^{\frac{2}{3}} + 15 \, a b^{4} x^{\frac{1}{3}} - \frac{60 \, a^{3} b^{2} x^{\frac{2}{3}} + 15 \, a^{4} b x^{\frac{1}{3}} + 2 \, a^{5}}{2 \, x}"," ",0,"10*a^2*b^3*log(x) + 3/2*b^5*x^(2/3) + 15*a*b^4*x^(1/3) - 1/2*(60*a^3*b^2*x^(2/3) + 15*a^4*b*x^(1/3) + 2*a^5)/x","A",0
2319,1,55,0,0.926906," ","integrate((a+b*x^(1/3))^5/x^3,x, algorithm=""maxima"")","-\frac{6 \, b^{5} x^{\frac{5}{3}} + 15 \, a b^{4} x^{\frac{4}{3}} + 20 \, a^{2} b^{3} x + 15 \, a^{3} b^{2} x^{\frac{2}{3}} + 6 \, a^{4} b x^{\frac{1}{3}} + a^{5}}{2 \, x^{2}}"," ",0,"-1/2*(6*b^5*x^(5/3) + 15*a*b^4*x^(4/3) + 20*a^2*b^3*x + 15*a^3*b^2*x^(2/3) + 6*a^4*b*x^(1/3) + a^5)/x^2","B",0
2320,1,57,0,0.938640," ","integrate((a+b*x^(1/3))^5/x^4,x, algorithm=""maxima"")","-\frac{126 \, b^{5} x^{\frac{5}{3}} + 504 \, a b^{4} x^{\frac{4}{3}} + 840 \, a^{2} b^{3} x + 720 \, a^{3} b^{2} x^{\frac{2}{3}} + 315 \, a^{4} b x^{\frac{1}{3}} + 56 \, a^{5}}{168 \, x^{3}}"," ",0,"-1/168*(126*b^5*x^(5/3) + 504*a*b^4*x^(4/3) + 840*a^2*b^3*x + 720*a^3*b^2*x^(2/3) + 315*a^4*b*x^(1/3) + 56*a^5)/x^3","A",0
2321,1,57,0,0.871249," ","integrate((a+b*x^(1/3))^5/x^5,x, algorithm=""maxima"")","-\frac{792 \, b^{5} x^{\frac{5}{3}} + 3465 \, a b^{4} x^{\frac{4}{3}} + 6160 \, a^{2} b^{3} x + 5544 \, a^{3} b^{2} x^{\frac{2}{3}} + 2520 \, a^{4} b x^{\frac{1}{3}} + 462 \, a^{5}}{1848 \, x^{4}}"," ",0,"-1/1848*(792*b^5*x^(5/3) + 3465*a*b^4*x^(4/3) + 6160*a^2*b^3*x + 5544*a^3*b^2*x^(2/3) + 2520*a^4*b*x^(1/3) + 462*a^5)/x^4","A",0
2322,1,57,0,0.819986," ","integrate((a+b*x^(1/3))^5/x^6,x, algorithm=""maxima"")","-\frac{3003 \, b^{5} x^{\frac{5}{3}} + 13650 \, a b^{4} x^{\frac{4}{3}} + 25025 \, a^{2} b^{3} x + 23100 \, a^{3} b^{2} x^{\frac{2}{3}} + 10725 \, a^{4} b x^{\frac{1}{3}} + 2002 \, a^{5}}{10010 \, x^{5}}"," ",0,"-1/10010*(3003*b^5*x^(5/3) + 13650*a*b^4*x^(4/3) + 25025*a^2*b^3*x + 23100*a^3*b^2*x^(2/3) + 10725*a^4*b*x^(1/3) + 2002*a^5)/x^5","A",0
2323,1,57,0,0.879248," ","integrate((a+b*x^(1/3))^5/x^7,x, algorithm=""maxima"")","-\frac{8568 \, b^{5} x^{\frac{5}{3}} + 39780 \, a b^{4} x^{\frac{4}{3}} + 74256 \, a^{2} b^{3} x + 69615 \, a^{3} b^{2} x^{\frac{2}{3}} + 32760 \, a^{4} b x^{\frac{1}{3}} + 6188 \, a^{5}}{37128 \, x^{6}}"," ",0,"-1/37128*(8568*b^5*x^(5/3) + 39780*a*b^4*x^(4/3) + 74256*a^2*b^3*x + 69615*a^3*b^2*x^(2/3) + 32760*a^4*b*x^(1/3) + 6188*a^5)/x^6","A",0
2324,1,251,0,0.924737," ","integrate((a+b*x^(1/3))^10*x^4,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{25}}{25 \, b^{15}} - \frac{7 \, {\left(b x^{\frac{1}{3}} + a\right)}^{24} a}{4 \, b^{15}} + \frac{273 \, {\left(b x^{\frac{1}{3}} + a\right)}^{23} a^{2}}{23 \, b^{15}} - \frac{546 \, {\left(b x^{\frac{1}{3}} + a\right)}^{22} a^{3}}{11 \, b^{15}} + \frac{143 \, {\left(b x^{\frac{1}{3}} + a\right)}^{21} a^{4}}{b^{15}} - \frac{3003 \, {\left(b x^{\frac{1}{3}} + a\right)}^{20} a^{5}}{10 \, b^{15}} + \frac{9009 \, {\left(b x^{\frac{1}{3}} + a\right)}^{19} a^{6}}{19 \, b^{15}} - \frac{572 \, {\left(b x^{\frac{1}{3}} + a\right)}^{18} a^{7}}{b^{15}} + \frac{9009 \, {\left(b x^{\frac{1}{3}} + a\right)}^{17} a^{8}}{17 \, b^{15}} - \frac{3003 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16} a^{9}}{8 \, b^{15}} + \frac{1001 \, {\left(b x^{\frac{1}{3}} + a\right)}^{15} a^{10}}{5 \, b^{15}} - \frac{78 \, {\left(b x^{\frac{1}{3}} + a\right)}^{14} a^{11}}{b^{15}} + \frac{21 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13} a^{12}}{b^{15}} - \frac{7 \, {\left(b x^{\frac{1}{3}} + a\right)}^{12} a^{13}}{2 \, b^{15}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{14}}{11 \, b^{15}}"," ",0,"3/25*(b*x^(1/3) + a)^25/b^15 - 7/4*(b*x^(1/3) + a)^24*a/b^15 + 273/23*(b*x^(1/3) + a)^23*a^2/b^15 - 546/11*(b*x^(1/3) + a)^22*a^3/b^15 + 143*(b*x^(1/3) + a)^21*a^4/b^15 - 3003/10*(b*x^(1/3) + a)^20*a^5/b^15 + 9009/19*(b*x^(1/3) + a)^19*a^6/b^15 - 572*(b*x^(1/3) + a)^18*a^7/b^15 + 9009/17*(b*x^(1/3) + a)^17*a^8/b^15 - 3003/8*(b*x^(1/3) + a)^16*a^9/b^15 + 1001/5*(b*x^(1/3) + a)^15*a^10/b^15 - 78*(b*x^(1/3) + a)^14*a^11/b^15 + 21*(b*x^(1/3) + a)^13*a^12/b^15 - 7/2*(b*x^(1/3) + a)^12*a^13/b^15 + 3/11*(b*x^(1/3) + a)^11*a^14/b^15","B",0
2325,1,200,0,0.900092," ","integrate((a+b*x^(1/3))^10*x^3,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{22}}{22 \, b^{12}} - \frac{11 \, {\left(b x^{\frac{1}{3}} + a\right)}^{21} a}{7 \, b^{12}} + \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)}^{20} a^{2}}{4 \, b^{12}} - \frac{495 \, {\left(b x^{\frac{1}{3}} + a\right)}^{19} a^{3}}{19 \, b^{12}} + \frac{55 \, {\left(b x^{\frac{1}{3}} + a\right)}^{18} a^{4}}{b^{12}} - \frac{1386 \, {\left(b x^{\frac{1}{3}} + a\right)}^{17} a^{5}}{17 \, b^{12}} + \frac{693 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16} a^{6}}{8 \, b^{12}} - \frac{66 \, {\left(b x^{\frac{1}{3}} + a\right)}^{15} a^{7}}{b^{12}} + \frac{495 \, {\left(b x^{\frac{1}{3}} + a\right)}^{14} a^{8}}{14 \, b^{12}} - \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13} a^{9}}{13 \, b^{12}} + \frac{11 \, {\left(b x^{\frac{1}{3}} + a\right)}^{12} a^{10}}{4 \, b^{12}} - \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{11}}{11 \, b^{12}}"," ",0,"3/22*(b*x^(1/3) + a)^22/b^12 - 11/7*(b*x^(1/3) + a)^21*a/b^12 + 33/4*(b*x^(1/3) + a)^20*a^2/b^12 - 495/19*(b*x^(1/3) + a)^19*a^3/b^12 + 55*(b*x^(1/3) + a)^18*a^4/b^12 - 1386/17*(b*x^(1/3) + a)^17*a^5/b^12 + 693/8*(b*x^(1/3) + a)^16*a^6/b^12 - 66*(b*x^(1/3) + a)^15*a^7/b^12 + 495/14*(b*x^(1/3) + a)^14*a^8/b^12 - 165/13*(b*x^(1/3) + a)^13*a^9/b^12 + 11/4*(b*x^(1/3) + a)^12*a^10/b^12 - 3/11*(b*x^(1/3) + a)^11*a^11/b^12","A",0
2326,1,149,0,0.904984," ","integrate((a+b*x^(1/3))^10*x^2,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{19}}{19 \, b^{9}} - \frac{4 \, {\left(b x^{\frac{1}{3}} + a\right)}^{18} a}{3 \, b^{9}} + \frac{84 \, {\left(b x^{\frac{1}{3}} + a\right)}^{17} a^{2}}{17 \, b^{9}} - \frac{21 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16} a^{3}}{2 \, b^{9}} + \frac{14 \, {\left(b x^{\frac{1}{3}} + a\right)}^{15} a^{4}}{b^{9}} - \frac{12 \, {\left(b x^{\frac{1}{3}} + a\right)}^{14} a^{5}}{b^{9}} + \frac{84 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13} a^{6}}{13 \, b^{9}} - \frac{2 \, {\left(b x^{\frac{1}{3}} + a\right)}^{12} a^{7}}{b^{9}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{8}}{11 \, b^{9}}"," ",0,"3/19*(b*x^(1/3) + a)^19/b^9 - 4/3*(b*x^(1/3) + a)^18*a/b^9 + 84/17*(b*x^(1/3) + a)^17*a^2/b^9 - 21/2*(b*x^(1/3) + a)^16*a^3/b^9 + 14*(b*x^(1/3) + a)^15*a^4/b^9 - 12*(b*x^(1/3) + a)^14*a^5/b^9 + 84/13*(b*x^(1/3) + a)^13*a^6/b^9 - 2*(b*x^(1/3) + a)^12*a^7/b^9 + 3/11*(b*x^(1/3) + a)^11*a^8/b^9","A",0
2327,1,98,0,0.987397," ","integrate((a+b*x^(1/3))^10*x,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16}}{16 \, b^{6}} - \frac{{\left(b x^{\frac{1}{3}} + a\right)}^{15} a}{b^{6}} + \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)}^{14} a^{2}}{7 \, b^{6}} - \frac{30 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13} a^{3}}{13 \, b^{6}} + \frac{5 \, {\left(b x^{\frac{1}{3}} + a\right)}^{12} a^{4}}{4 \, b^{6}} - \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{5}}{11 \, b^{6}}"," ",0,"3/16*(b*x^(1/3) + a)^16/b^6 - (b*x^(1/3) + a)^15*a/b^6 + 15/7*(b*x^(1/3) + a)^14*a^2/b^6 - 30/13*(b*x^(1/3) + a)^13*a^3/b^6 + 5/4*(b*x^(1/3) + a)^12*a^4/b^6 - 3/11*(b*x^(1/3) + a)^11*a^5/b^6","A",0
2328,1,47,0,0.830789," ","integrate((a+b*x^(1/3))^10,x, algorithm=""maxima"")","\frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{13}}{13 \, b^{3}} - \frac{{\left(b x^{\frac{1}{3}} + a\right)}^{12} a}{2 \, b^{3}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11} a^{2}}{11 \, b^{3}}"," ",0,"3/13*(b*x^(1/3) + a)^13/b^3 - 1/2*(b*x^(1/3) + a)^12*a/b^3 + 3/11*(b*x^(1/3) + a)^11*a^2/b^3","A",0
2329,1,108,0,0.902222," ","integrate((a+b*x^(1/3))^10/x,x, algorithm=""maxima"")","\frac{3}{10} \, b^{10} x^{\frac{10}{3}} + \frac{10}{3} \, a b^{9} x^{3} + \frac{135}{8} \, a^{2} b^{8} x^{\frac{8}{3}} + \frac{360}{7} \, a^{3} b^{7} x^{\frac{7}{3}} + 105 \, a^{4} b^{6} x^{2} + \frac{756}{5} \, a^{5} b^{5} x^{\frac{5}{3}} + \frac{315}{2} \, a^{6} b^{4} x^{\frac{4}{3}} + 120 \, a^{7} b^{3} x + a^{10} \log\left(x\right) + \frac{135}{2} \, a^{8} b^{2} x^{\frac{2}{3}} + 30 \, a^{9} b x^{\frac{1}{3}}"," ",0,"3/10*b^10*x^(10/3) + 10/3*a*b^9*x^3 + 135/8*a^2*b^8*x^(8/3) + 360/7*a^3*b^7*x^(7/3) + 105*a^4*b^6*x^2 + 756/5*a^5*b^5*x^(5/3) + 315/2*a^6*b^4*x^(4/3) + 120*a^7*b^3*x + a^10*log(x) + 135/2*a^8*b^2*x^(2/3) + 30*a^9*b*x^(1/3)","A",0
2330,1,110,0,0.928188," ","integrate((a+b*x^(1/3))^10/x^2,x, algorithm=""maxima"")","\frac{3}{7} \, b^{10} x^{\frac{7}{3}} + 5 \, a b^{9} x^{2} + 27 \, a^{2} b^{8} x^{\frac{5}{3}} + 90 \, a^{3} b^{7} x^{\frac{4}{3}} + 210 \, a^{4} b^{6} x + 120 \, a^{7} b^{3} \log\left(x\right) + 378 \, a^{5} b^{5} x^{\frac{2}{3}} + 630 \, a^{6} b^{4} x^{\frac{1}{3}} - \frac{135 \, a^{8} b^{2} x^{\frac{2}{3}} + 15 \, a^{9} b x^{\frac{1}{3}} + a^{10}}{x}"," ",0,"3/7*b^10*x^(7/3) + 5*a*b^9*x^2 + 27*a^2*b^8*x^(5/3) + 90*a^3*b^7*x^(4/3) + 210*a^4*b^6*x + 120*a^7*b^3*log(x) + 378*a^5*b^5*x^(2/3) + 630*a^6*b^4*x^(1/3) - (135*a^8*b^2*x^(2/3) + 15*a^9*b*x^(1/3) + a^10)/x","A",0
2331,1,110,0,0.906696," ","integrate((a+b*x^(1/3))^10/x^3,x, algorithm=""maxima"")","\frac{3}{4} \, b^{10} x^{\frac{4}{3}} + 10 \, a b^{9} x + 210 \, a^{4} b^{6} \log\left(x\right) + \frac{135}{2} \, a^{2} b^{8} x^{\frac{2}{3}} + 360 \, a^{3} b^{7} x^{\frac{1}{3}} - \frac{3024 \, a^{5} b^{5} x^{\frac{5}{3}} + 1260 \, a^{6} b^{4} x^{\frac{4}{3}} + 480 \, a^{7} b^{3} x + 135 \, a^{8} b^{2} x^{\frac{2}{3}} + 24 \, a^{9} b x^{\frac{1}{3}} + 2 \, a^{10}}{4 \, x^{2}}"," ",0,"3/4*b^10*x^(4/3) + 10*a*b^9*x + 210*a^4*b^6*log(x) + 135/2*a^2*b^8*x^(2/3) + 360*a^3*b^7*x^(1/3) - 1/4*(3024*a^5*b^5*x^(5/3) + 1260*a^6*b^4*x^(4/3) + 480*a^7*b^3*x + 135*a^8*b^2*x^(2/3) + 24*a^9*b*x^(1/3) + 2*a^10)/x^2","A",0
2332,1,112,0,0.919032," ","integrate((a+b*x^(1/3))^10/x^4,x, algorithm=""maxima"")","10 \, a b^{9} \log\left(x\right) + 3 \, b^{10} x^{\frac{1}{3}} - \frac{11340 \, a^{2} b^{8} x^{\frac{8}{3}} + 15120 \, a^{3} b^{7} x^{\frac{7}{3}} + 17640 \, a^{4} b^{6} x^{2} + 15876 \, a^{5} b^{5} x^{\frac{5}{3}} + 10584 \, a^{6} b^{4} x^{\frac{4}{3}} + 5040 \, a^{7} b^{3} x + 1620 \, a^{8} b^{2} x^{\frac{2}{3}} + 315 \, a^{9} b x^{\frac{1}{3}} + 28 \, a^{10}}{84 \, x^{3}}"," ",0,"10*a*b^9*log(x) + 3*b^10*x^(1/3) - 1/84*(11340*a^2*b^8*x^(8/3) + 15120*a^3*b^7*x^(7/3) + 17640*a^4*b^6*x^2 + 15876*a^5*b^5*x^(5/3) + 10584*a^6*b^4*x^(4/3) + 5040*a^7*b^3*x + 1620*a^8*b^2*x^(2/3) + 315*a^9*b*x^(1/3) + 28*a^10)/x^3","A",0
2333,1,112,0,0.908690," ","integrate((a+b*x^(1/3))^10/x^5,x, algorithm=""maxima"")","-\frac{66 \, b^{10} x^{\frac{10}{3}} + 440 \, a b^{9} x^{3} + 1485 \, a^{2} b^{8} x^{\frac{8}{3}} + 3168 \, a^{3} b^{7} x^{\frac{7}{3}} + 4620 \, a^{4} b^{6} x^{2} + 4752 \, a^{5} b^{5} x^{\frac{5}{3}} + 3465 \, a^{6} b^{4} x^{\frac{4}{3}} + 1760 \, a^{7} b^{3} x + 594 \, a^{8} b^{2} x^{\frac{2}{3}} + 120 \, a^{9} b x^{\frac{1}{3}} + 11 \, a^{10}}{44 \, x^{4}}"," ",0,"-1/44*(66*b^10*x^(10/3) + 440*a*b^9*x^3 + 1485*a^2*b^8*x^(8/3) + 3168*a^3*b^7*x^(7/3) + 4620*a^4*b^6*x^2 + 4752*a^5*b^5*x^(5/3) + 3465*a^6*b^4*x^(4/3) + 1760*a^7*b^3*x + 594*a^8*b^2*x^(2/3) + 120*a^9*b*x^(1/3) + 11*a^10)/x^4","B",0
2334,1,112,0,0.908262," ","integrate((a+b*x^(1/3))^10/x^6,x, algorithm=""maxima"")","-\frac{3003 \, b^{10} x^{\frac{10}{3}} + 25025 \, a b^{9} x^{3} + 96525 \, a^{2} b^{8} x^{\frac{8}{3}} + 225225 \, a^{3} b^{7} x^{\frac{7}{3}} + 350350 \, a^{4} b^{6} x^{2} + 378378 \, a^{5} b^{5} x^{\frac{5}{3}} + 286650 \, a^{6} b^{4} x^{\frac{4}{3}} + 150150 \, a^{7} b^{3} x + 51975 \, a^{8} b^{2} x^{\frac{2}{3}} + 10725 \, a^{9} b x^{\frac{1}{3}} + 1001 \, a^{10}}{5005 \, x^{5}}"," ",0,"-1/5005*(3003*b^10*x^(10/3) + 25025*a*b^9*x^3 + 96525*a^2*b^8*x^(8/3) + 225225*a^3*b^7*x^(7/3) + 350350*a^4*b^6*x^2 + 378378*a^5*b^5*x^(5/3) + 286650*a^6*b^4*x^(4/3) + 150150*a^7*b^3*x + 51975*a^8*b^2*x^(2/3) + 10725*a^9*b*x^(1/3) + 1001*a^10)/x^5","A",0
2335,1,112,0,0.852547," ","integrate((a+b*x^(1/3))^10/x^7,x, algorithm=""maxima"")","-\frac{43758 \, b^{10} x^{\frac{10}{3}} + 388960 \, a b^{9} x^{3} + 1575288 \, a^{2} b^{8} x^{\frac{8}{3}} + 3818880 \, a^{3} b^{7} x^{\frac{7}{3}} + 6126120 \, a^{4} b^{6} x^{2} + 6785856 \, a^{5} b^{5} x^{\frac{5}{3}} + 5250960 \, a^{6} b^{4} x^{\frac{4}{3}} + 2800512 \, a^{7} b^{3} x + 984555 \, a^{8} b^{2} x^{\frac{2}{3}} + 205920 \, a^{9} b x^{\frac{1}{3}} + 19448 \, a^{10}}{116688 \, x^{6}}"," ",0,"-1/116688*(43758*b^10*x^(10/3) + 388960*a*b^9*x^3 + 1575288*a^2*b^8*x^(8/3) + 3818880*a^3*b^7*x^(7/3) + 6126120*a^4*b^6*x^2 + 6785856*a^5*b^5*x^(5/3) + 5250960*a^6*b^4*x^(4/3) + 2800512*a^7*b^3*x + 984555*a^8*b^2*x^(2/3) + 205920*a^9*b*x^(1/3) + 19448*a^10)/x^6","A",0
2336,1,112,0,0.911138," ","integrate((a+b*x^(1/3))^10/x^8,x, algorithm=""maxima"")","-\frac{352716 \, b^{10} x^{\frac{10}{3}} + 3233230 \, a b^{9} x^{3} + 13430340 \, a^{2} b^{8} x^{\frac{8}{3}} + 33256080 \, a^{3} b^{7} x^{\frac{7}{3}} + 54318264 \, a^{4} b^{6} x^{2} + 61108047 \, a^{5} b^{5} x^{\frac{5}{3}} + 47927880 \, a^{6} b^{4} x^{\frac{4}{3}} + 25865840 \, a^{7} b^{3} x + 9189180 \, a^{8} b^{2} x^{\frac{2}{3}} + 1939938 \, a^{9} b x^{\frac{1}{3}} + 184756 \, a^{10}}{1293292 \, x^{7}}"," ",0,"-1/1293292*(352716*b^10*x^(10/3) + 3233230*a*b^9*x^3 + 13430340*a^2*b^8*x^(8/3) + 33256080*a^3*b^7*x^(7/3) + 54318264*a^4*b^6*x^2 + 61108047*a^5*b^5*x^(5/3) + 47927880*a^6*b^4*x^(4/3) + 25865840*a^7*b^3*x + 9189180*a^8*b^2*x^(2/3) + 1939938*a^9*b*x^(1/3) + 184756*a^10)/x^7","A",0
2337,1,112,0,0.939065," ","integrate((a+b*x^(1/3))^10/x^9,x, algorithm=""maxima"")","-\frac{1961256 \, b^{10} x^{\frac{10}{3}} + 18305056 \, a b^{9} x^{3} + 77224455 \, a^{2} b^{8} x^{\frac{8}{3}} + 193818240 \, a^{3} b^{7} x^{\frac{7}{3}} + 320338480 \, a^{4} b^{6} x^{2} + 364174272 \, a^{5} b^{5} x^{\frac{5}{3}} + 288304632 \, a^{6} b^{4} x^{\frac{4}{3}} + 156900480 \, a^{7} b^{3} x + 56163240 \, a^{8} b^{2} x^{\frac{2}{3}} + 11938080 \, a^{9} b x^{\frac{1}{3}} + 1144066 \, a^{10}}{9152528 \, x^{8}}"," ",0,"-1/9152528*(1961256*b^10*x^(10/3) + 18305056*a*b^9*x^3 + 77224455*a^2*b^8*x^(8/3) + 193818240*a^3*b^7*x^(7/3) + 320338480*a^4*b^6*x^2 + 364174272*a^5*b^5*x^(5/3) + 288304632*a^6*b^4*x^(4/3) + 156900480*a^7*b^3*x + 56163240*a^8*b^2*x^(2/3) + 11938080*a^9*b*x^(1/3) + 1144066*a^10)/x^8","A",0
2338,1,112,0,0.842406," ","integrate((a+b*x^(1/3))^10/x^10,x, algorithm=""maxima"")","-\frac{8436285 \, b^{10} x^{\frac{10}{3}} + 79676025 \, a b^{9} x^{3} + 339671475 \, a^{2} b^{8} x^{\frac{8}{3}} + 860501070 \, a^{3} b^{7} x^{\frac{7}{3}} + 1434168450 \, a^{4} b^{6} x^{2} + 1642774770 \, a^{5} b^{5} x^{\frac{5}{3}} + 1309458150 \, a^{6} b^{4} x^{\frac{4}{3}} + 717084225 \, a^{7} b^{3} x + 258150321 \, a^{8} b^{2} x^{\frac{2}{3}} + 55160325 \, a^{9} b x^{\frac{1}{3}} + 5311735 \, a^{10}}{47805615 \, x^{9}}"," ",0,"-1/47805615*(8436285*b^10*x^(10/3) + 79676025*a*b^9*x^3 + 339671475*a^2*b^8*x^(8/3) + 860501070*a^3*b^7*x^(7/3) + 1434168450*a^4*b^6*x^2 + 1642774770*a^5*b^5*x^(5/3) + 1309458150*a^6*b^4*x^(4/3) + 717084225*a^7*b^3*x + 258150321*a^8*b^2*x^(2/3) + 55160325*a^9*b*x^(1/3) + 5311735*a^10)/x^9","A",0
2339,1,302,0,0.935450," ","integrate((a+b*x^(1/3))^15*x^5,x, algorithm=""maxima"")","\frac{{\left(b x^{\frac{1}{3}} + a\right)}^{33}}{11 \, b^{18}} - \frac{51 \, {\left(b x^{\frac{1}{3}} + a\right)}^{32} a}{32 \, b^{18}} + \frac{408 \, {\left(b x^{\frac{1}{3}} + a\right)}^{31} a^{2}}{31 \, b^{18}} - \frac{68 \, {\left(b x^{\frac{1}{3}} + a\right)}^{30} a^{3}}{b^{18}} + \frac{7140 \, {\left(b x^{\frac{1}{3}} + a\right)}^{29} a^{4}}{29 \, b^{18}} - \frac{663 \, {\left(b x^{\frac{1}{3}} + a\right)}^{28} a^{5}}{b^{18}} + \frac{12376 \, {\left(b x^{\frac{1}{3}} + a\right)}^{27} a^{6}}{9 \, b^{18}} - \frac{2244 \, {\left(b x^{\frac{1}{3}} + a\right)}^{26} a^{7}}{b^{18}} + \frac{14586 \, {\left(b x^{\frac{1}{3}} + a\right)}^{25} a^{8}}{5 \, b^{18}} - \frac{12155 \, {\left(b x^{\frac{1}{3}} + a\right)}^{24} a^{9}}{4 \, b^{18}} + \frac{58344 \, {\left(b x^{\frac{1}{3}} + a\right)}^{23} a^{10}}{23 \, b^{18}} - \frac{18564 \, {\left(b x^{\frac{1}{3}} + a\right)}^{22} a^{11}}{11 \, b^{18}} + \frac{884 \, {\left(b x^{\frac{1}{3}} + a\right)}^{21} a^{12}}{b^{18}} - \frac{357 \, {\left(b x^{\frac{1}{3}} + a\right)}^{20} a^{13}}{b^{18}} + \frac{2040 \, {\left(b x^{\frac{1}{3}} + a\right)}^{19} a^{14}}{19 \, b^{18}} - \frac{68 \, {\left(b x^{\frac{1}{3}} + a\right)}^{18} a^{15}}{3 \, b^{18}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{17} a^{16}}{b^{18}} - \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16} a^{17}}{16 \, b^{18}}"," ",0,"1/11*(b*x^(1/3) + a)^33/b^18 - 51/32*(b*x^(1/3) + a)^32*a/b^18 + 408/31*(b*x^(1/3) + a)^31*a^2/b^18 - 68*(b*x^(1/3) + a)^30*a^3/b^18 + 7140/29*(b*x^(1/3) + a)^29*a^4/b^18 - 663*(b*x^(1/3) + a)^28*a^5/b^18 + 12376/9*(b*x^(1/3) + a)^27*a^6/b^18 - 2244*(b*x^(1/3) + a)^26*a^7/b^18 + 14586/5*(b*x^(1/3) + a)^25*a^8/b^18 - 12155/4*(b*x^(1/3) + a)^24*a^9/b^18 + 58344/23*(b*x^(1/3) + a)^23*a^10/b^18 - 18564/11*(b*x^(1/3) + a)^22*a^11/b^18 + 884*(b*x^(1/3) + a)^21*a^12/b^18 - 357*(b*x^(1/3) + a)^20*a^13/b^18 + 2040/19*(b*x^(1/3) + a)^19*a^14/b^18 - 68/3*(b*x^(1/3) + a)^18*a^15/b^18 + 3*(b*x^(1/3) + a)^17*a^16/b^18 - 3/16*(b*x^(1/3) + a)^16*a^17/b^18","A",0
2340,1,251,0,0.914976," ","integrate((a+b*x^(1/3))^15*x^4,x, algorithm=""maxima"")","\frac{{\left(b x^{\frac{1}{3}} + a\right)}^{30}}{10 \, b^{15}} - \frac{42 \, {\left(b x^{\frac{1}{3}} + a\right)}^{29} a}{29 \, b^{15}} + \frac{39 \, {\left(b x^{\frac{1}{3}} + a\right)}^{28} a^{2}}{4 \, b^{15}} - \frac{364 \, {\left(b x^{\frac{1}{3}} + a\right)}^{27} a^{3}}{9 \, b^{15}} + \frac{231 \, {\left(b x^{\frac{1}{3}} + a\right)}^{26} a^{4}}{2 \, b^{15}} - \frac{6006 \, {\left(b x^{\frac{1}{3}} + a\right)}^{25} a^{5}}{25 \, b^{15}} + \frac{3003 \, {\left(b x^{\frac{1}{3}} + a\right)}^{24} a^{6}}{8 \, b^{15}} - \frac{10296 \, {\left(b x^{\frac{1}{3}} + a\right)}^{23} a^{7}}{23 \, b^{15}} + \frac{819 \, {\left(b x^{\frac{1}{3}} + a\right)}^{22} a^{8}}{2 \, b^{15}} - \frac{286 \, {\left(b x^{\frac{1}{3}} + a\right)}^{21} a^{9}}{b^{15}} + \frac{3003 \, {\left(b x^{\frac{1}{3}} + a\right)}^{20} a^{10}}{20 \, b^{15}} - \frac{1092 \, {\left(b x^{\frac{1}{3}} + a\right)}^{19} a^{11}}{19 \, b^{15}} + \frac{91 \, {\left(b x^{\frac{1}{3}} + a\right)}^{18} a^{12}}{6 \, b^{15}} - \frac{42 \, {\left(b x^{\frac{1}{3}} + a\right)}^{17} a^{13}}{17 \, b^{15}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16} a^{14}}{16 \, b^{15}}"," ",0,"1/10*(b*x^(1/3) + a)^30/b^15 - 42/29*(b*x^(1/3) + a)^29*a/b^15 + 39/4*(b*x^(1/3) + a)^28*a^2/b^15 - 364/9*(b*x^(1/3) + a)^27*a^3/b^15 + 231/2*(b*x^(1/3) + a)^26*a^4/b^15 - 6006/25*(b*x^(1/3) + a)^25*a^5/b^15 + 3003/8*(b*x^(1/3) + a)^24*a^6/b^15 - 10296/23*(b*x^(1/3) + a)^23*a^7/b^15 + 819/2*(b*x^(1/3) + a)^22*a^8/b^15 - 286*(b*x^(1/3) + a)^21*a^9/b^15 + 3003/20*(b*x^(1/3) + a)^20*a^10/b^15 - 1092/19*(b*x^(1/3) + a)^19*a^11/b^15 + 91/6*(b*x^(1/3) + a)^18*a^12/b^15 - 42/17*(b*x^(1/3) + a)^17*a^13/b^15 + 3/16*(b*x^(1/3) + a)^16*a^14/b^15","A",0
2341,1,200,0,0.877627," ","integrate((a+b*x^(1/3))^15*x^3,x, algorithm=""maxima"")","\frac{{\left(b x^{\frac{1}{3}} + a\right)}^{27}}{9 \, b^{12}} - \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)}^{26} a}{26 \, b^{12}} + \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)}^{25} a^{2}}{5 \, b^{12}} - \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{24} a^{3}}{8 \, b^{12}} + \frac{990 \, {\left(b x^{\frac{1}{3}} + a\right)}^{23} a^{4}}{23 \, b^{12}} - \frac{63 \, {\left(b x^{\frac{1}{3}} + a\right)}^{22} a^{5}}{b^{12}} + \frac{66 \, {\left(b x^{\frac{1}{3}} + a\right)}^{21} a^{6}}{b^{12}} - \frac{99 \, {\left(b x^{\frac{1}{3}} + a\right)}^{20} a^{7}}{2 \, b^{12}} + \frac{495 \, {\left(b x^{\frac{1}{3}} + a\right)}^{19} a^{8}}{19 \, b^{12}} - \frac{55 \, {\left(b x^{\frac{1}{3}} + a\right)}^{18} a^{9}}{6 \, b^{12}} + \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)}^{17} a^{10}}{17 \, b^{12}} - \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16} a^{11}}{16 \, b^{12}}"," ",0,"1/9*(b*x^(1/3) + a)^27/b^12 - 33/26*(b*x^(1/3) + a)^26*a/b^12 + 33/5*(b*x^(1/3) + a)^25*a^2/b^12 - 165/8*(b*x^(1/3) + a)^24*a^3/b^12 + 990/23*(b*x^(1/3) + a)^23*a^4/b^12 - 63*(b*x^(1/3) + a)^22*a^5/b^12 + 66*(b*x^(1/3) + a)^21*a^6/b^12 - 99/2*(b*x^(1/3) + a)^20*a^7/b^12 + 495/19*(b*x^(1/3) + a)^19*a^8/b^12 - 55/6*(b*x^(1/3) + a)^18*a^9/b^12 + 33/17*(b*x^(1/3) + a)^17*a^10/b^12 - 3/16*(b*x^(1/3) + a)^16*a^11/b^12","A",0
2342,1,149,0,0.918330," ","integrate((a+b*x^(1/3))^15*x^2,x, algorithm=""maxima"")","\frac{{\left(b x^{\frac{1}{3}} + a\right)}^{24}}{8 \, b^{9}} - \frac{24 \, {\left(b x^{\frac{1}{3}} + a\right)}^{23} a}{23 \, b^{9}} + \frac{42 \, {\left(b x^{\frac{1}{3}} + a\right)}^{22} a^{2}}{11 \, b^{9}} - \frac{8 \, {\left(b x^{\frac{1}{3}} + a\right)}^{21} a^{3}}{b^{9}} + \frac{21 \, {\left(b x^{\frac{1}{3}} + a\right)}^{20} a^{4}}{2 \, b^{9}} - \frac{168 \, {\left(b x^{\frac{1}{3}} + a\right)}^{19} a^{5}}{19 \, b^{9}} + \frac{14 \, {\left(b x^{\frac{1}{3}} + a\right)}^{18} a^{6}}{3 \, b^{9}} - \frac{24 \, {\left(b x^{\frac{1}{3}} + a\right)}^{17} a^{7}}{17 \, b^{9}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16} a^{8}}{16 \, b^{9}}"," ",0,"1/8*(b*x^(1/3) + a)^24/b^9 - 24/23*(b*x^(1/3) + a)^23*a/b^9 + 42/11*(b*x^(1/3) + a)^22*a^2/b^9 - 8*(b*x^(1/3) + a)^21*a^3/b^9 + 21/2*(b*x^(1/3) + a)^20*a^4/b^9 - 168/19*(b*x^(1/3) + a)^19*a^5/b^9 + 14/3*(b*x^(1/3) + a)^18*a^6/b^9 - 24/17*(b*x^(1/3) + a)^17*a^7/b^9 + 3/16*(b*x^(1/3) + a)^16*a^8/b^9","A",0
2343,1,98,0,0.877344," ","integrate((a+b*x^(1/3))^15*x,x, algorithm=""maxima"")","\frac{{\left(b x^{\frac{1}{3}} + a\right)}^{21}}{7 \, b^{6}} - \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{20} a}{4 \, b^{6}} + \frac{30 \, {\left(b x^{\frac{1}{3}} + a\right)}^{19} a^{2}}{19 \, b^{6}} - \frac{5 \, {\left(b x^{\frac{1}{3}} + a\right)}^{18} a^{3}}{3 \, b^{6}} + \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)}^{17} a^{4}}{17 \, b^{6}} - \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16} a^{5}}{16 \, b^{6}}"," ",0,"1/7*(b*x^(1/3) + a)^21/b^6 - 3/4*(b*x^(1/3) + a)^20*a/b^6 + 30/19*(b*x^(1/3) + a)^19*a^2/b^6 - 5/3*(b*x^(1/3) + a)^18*a^3/b^6 + 15/17*(b*x^(1/3) + a)^17*a^4/b^6 - 3/16*(b*x^(1/3) + a)^16*a^5/b^6","A",0
2344,1,47,0,0.852013," ","integrate((a+b*x^(1/3))^15,x, algorithm=""maxima"")","\frac{{\left(b x^{\frac{1}{3}} + a\right)}^{18}}{6 \, b^{3}} - \frac{6 \, {\left(b x^{\frac{1}{3}} + a\right)}^{17} a}{17 \, b^{3}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{16} a^{2}}{16 \, b^{3}}"," ",0,"1/6*(b*x^(1/3) + a)^18/b^3 - 6/17*(b*x^(1/3) + a)^17*a/b^3 + 3/16*(b*x^(1/3) + a)^16*a^2/b^3","A",0
2345,1,163,0,0.880389," ","integrate((a+b*x^(1/3))^15/x,x, algorithm=""maxima"")","\frac{1}{5} \, b^{15} x^{5} + \frac{45}{14} \, a b^{14} x^{\frac{14}{3}} + \frac{315}{13} \, a^{2} b^{13} x^{\frac{13}{3}} + \frac{455}{4} \, a^{3} b^{12} x^{4} + \frac{4095}{11} \, a^{4} b^{11} x^{\frac{11}{3}} + \frac{9009}{10} \, a^{5} b^{10} x^{\frac{10}{3}} + \frac{5005}{3} \, a^{6} b^{9} x^{3} + \frac{19305}{8} \, a^{7} b^{8} x^{\frac{8}{3}} + \frac{19305}{7} \, a^{8} b^{7} x^{\frac{7}{3}} + \frac{5005}{2} \, a^{9} b^{6} x^{2} + \frac{9009}{5} \, a^{10} b^{5} x^{\frac{5}{3}} + \frac{4095}{4} \, a^{11} b^{4} x^{\frac{4}{3}} + 455 \, a^{12} b^{3} x + a^{15} \log\left(x\right) + \frac{315}{2} \, a^{13} b^{2} x^{\frac{2}{3}} + 45 \, a^{14} b x^{\frac{1}{3}}"," ",0,"1/5*b^15*x^5 + 45/14*a*b^14*x^(14/3) + 315/13*a^2*b^13*x^(13/3) + 455/4*a^3*b^12*x^4 + 4095/11*a^4*b^11*x^(11/3) + 9009/10*a^5*b^10*x^(10/3) + 5005/3*a^6*b^9*x^3 + 19305/8*a^7*b^8*x^(8/3) + 19305/7*a^8*b^7*x^(7/3) + 5005/2*a^9*b^6*x^2 + 9009/5*a^10*b^5*x^(5/3) + 4095/4*a^11*b^4*x^(4/3) + 455*a^12*b^3*x + a^15*log(x) + 315/2*a^13*b^2*x^(2/3) + 45*a^14*b*x^(1/3)","A",0
2346,1,167,0,0.906606," ","integrate((a+b*x^(1/3))^15/x^2,x, algorithm=""maxima"")","\frac{1}{4} \, b^{15} x^{4} + \frac{45}{11} \, a b^{14} x^{\frac{11}{3}} + \frac{63}{2} \, a^{2} b^{13} x^{\frac{10}{3}} + \frac{455}{3} \, a^{3} b^{12} x^{3} + \frac{4095}{8} \, a^{4} b^{11} x^{\frac{8}{3}} + 1287 \, a^{5} b^{10} x^{\frac{7}{3}} + \frac{5005}{2} \, a^{6} b^{9} x^{2} + 3861 \, a^{7} b^{8} x^{\frac{5}{3}} + \frac{19305}{4} \, a^{8} b^{7} x^{\frac{4}{3}} + 5005 \, a^{9} b^{6} x + 455 \, a^{12} b^{3} \log\left(x\right) + \frac{9009}{2} \, a^{10} b^{5} x^{\frac{2}{3}} + 4095 \, a^{11} b^{4} x^{\frac{1}{3}} - \frac{630 \, a^{13} b^{2} x^{\frac{2}{3}} + 45 \, a^{14} b x^{\frac{1}{3}} + 2 \, a^{15}}{2 \, x}"," ",0,"1/4*b^15*x^4 + 45/11*a*b^14*x^(11/3) + 63/2*a^2*b^13*x^(10/3) + 455/3*a^3*b^12*x^3 + 4095/8*a^4*b^11*x^(8/3) + 1287*a^5*b^10*x^(7/3) + 5005/2*a^6*b^9*x^2 + 3861*a^7*b^8*x^(5/3) + 19305/4*a^8*b^7*x^(4/3) + 5005*a^9*b^6*x + 455*a^12*b^3*log(x) + 9009/2*a^10*b^5*x^(2/3) + 4095*a^11*b^4*x^(1/3) - 1/2*(630*a^13*b^2*x^(2/3) + 45*a^14*b*x^(1/3) + 2*a^15)/x","A",0
2347,1,165,0,0.911124," ","integrate((a+b*x^(1/3))^15/x^3,x, algorithm=""maxima"")","\frac{1}{3} \, b^{15} x^{3} + \frac{45}{8} \, a b^{14} x^{\frac{8}{3}} + 45 \, a^{2} b^{13} x^{\frac{7}{3}} + \frac{455}{2} \, a^{3} b^{12} x^{2} + 819 \, a^{4} b^{11} x^{\frac{5}{3}} + \frac{9009}{4} \, a^{5} b^{10} x^{\frac{4}{3}} + 5005 \, a^{6} b^{9} x + 5005 \, a^{9} b^{6} \log\left(x\right) + \frac{19305}{2} \, a^{7} b^{8} x^{\frac{2}{3}} + 19305 \, a^{8} b^{7} x^{\frac{1}{3}} - \frac{36036 \, a^{10} b^{5} x^{\frac{5}{3}} + 8190 \, a^{11} b^{4} x^{\frac{4}{3}} + 1820 \, a^{12} b^{3} x + 315 \, a^{13} b^{2} x^{\frac{2}{3}} + 36 \, a^{14} b x^{\frac{1}{3}} + 2 \, a^{15}}{4 \, x^{2}}"," ",0,"1/3*b^15*x^3 + 45/8*a*b^14*x^(8/3) + 45*a^2*b^13*x^(7/3) + 455/2*a^3*b^12*x^2 + 819*a^4*b^11*x^(5/3) + 9009/4*a^5*b^10*x^(4/3) + 5005*a^6*b^9*x + 5005*a^9*b^6*log(x) + 19305/2*a^7*b^8*x^(2/3) + 19305*a^8*b^7*x^(1/3) - 1/4*(36036*a^10*b^5*x^(5/3) + 8190*a^11*b^4*x^(4/3) + 1820*a^12*b^3*x + 315*a^13*b^2*x^(2/3) + 36*a^14*b*x^(1/3) + 2*a^15)/x^2","A",0
2348,1,165,0,0.899796," ","integrate((a+b*x^(1/3))^15/x^4,x, algorithm=""maxima"")","\frac{1}{2} \, b^{15} x^{2} + 9 \, a b^{14} x^{\frac{5}{3}} + \frac{315}{4} \, a^{2} b^{13} x^{\frac{4}{3}} + 455 \, a^{3} b^{12} x + 5005 \, a^{6} b^{9} \log\left(x\right) + \frac{4095}{2} \, a^{4} b^{11} x^{\frac{2}{3}} + 9009 \, a^{5} b^{10} x^{\frac{1}{3}} - \frac{463320 \, a^{7} b^{8} x^{\frac{8}{3}} + 231660 \, a^{8} b^{7} x^{\frac{7}{3}} + 120120 \, a^{9} b^{6} x^{2} + 54054 \, a^{10} b^{5} x^{\frac{5}{3}} + 19656 \, a^{11} b^{4} x^{\frac{4}{3}} + 5460 \, a^{12} b^{3} x + 1080 \, a^{13} b^{2} x^{\frac{2}{3}} + 135 \, a^{14} b x^{\frac{1}{3}} + 8 \, a^{15}}{24 \, x^{3}}"," ",0,"1/2*b^15*x^2 + 9*a*b^14*x^(5/3) + 315/4*a^2*b^13*x^(4/3) + 455*a^3*b^12*x + 5005*a^6*b^9*log(x) + 4095/2*a^4*b^11*x^(2/3) + 9009*a^5*b^10*x^(1/3) - 1/24*(463320*a^7*b^8*x^(8/3) + 231660*a^8*b^7*x^(7/3) + 120120*a^9*b^6*x^2 + 54054*a^10*b^5*x^(5/3) + 19656*a^11*b^4*x^(4/3) + 5460*a^12*b^3*x + 1080*a^13*b^2*x^(2/3) + 135*a^14*b*x^(1/3) + 8*a^15)/x^3","A",0
2349,1,166,0,0.895070," ","integrate((a+b*x^(1/3))^15/x^6,x, algorithm=""maxima"")","b^{15} \log\left(x\right) - \frac{5405400 \, a b^{14} x^{\frac{14}{3}} + 18918900 \, a^{2} b^{13} x^{\frac{13}{3}} + 54654600 \, a^{3} b^{12} x^{4} + 122972850 \, a^{4} b^{11} x^{\frac{11}{3}} + 216432216 \, a^{5} b^{10} x^{\frac{10}{3}} + 300600300 \, a^{6} b^{9} x^{3} + 331273800 \, a^{7} b^{8} x^{\frac{8}{3}} + 289864575 \, a^{8} b^{7} x^{\frac{7}{3}} + 200400200 \, a^{9} b^{6} x^{2} + 108216108 \, a^{10} b^{5} x^{\frac{5}{3}} + 44717400 \, a^{11} b^{4} x^{\frac{4}{3}} + 13663650 \, a^{12} b^{3} x + 2910600 \, a^{13} b^{2} x^{\frac{2}{3}} + 386100 \, a^{14} b x^{\frac{1}{3}} + 24024 \, a^{15}}{120120 \, x^{5}}"," ",0,"b^15*log(x) - 1/120120*(5405400*a*b^14*x^(14/3) + 18918900*a^2*b^13*x^(13/3) + 54654600*a^3*b^12*x^4 + 122972850*a^4*b^11*x^(11/3) + 216432216*a^5*b^10*x^(10/3) + 300600300*a^6*b^9*x^3 + 331273800*a^7*b^8*x^(8/3) + 289864575*a^8*b^7*x^(7/3) + 200400200*a^9*b^6*x^2 + 108216108*a^10*b^5*x^(5/3) + 44717400*a^11*b^4*x^(4/3) + 13663650*a^12*b^3*x + 2910600*a^13*b^2*x^(2/3) + 386100*a^14*b*x^(1/3) + 24024*a^15)/x^5","A",0
2350,1,167,0,0.918227," ","integrate((a+b*x^(1/3))^15/x^7,x, algorithm=""maxima"")","-\frac{816 \, b^{15} x^{5} + 9180 \, a b^{14} x^{\frac{14}{3}} + 51408 \, a^{2} b^{13} x^{\frac{13}{3}} + 185640 \, a^{3} b^{12} x^{4} + 477360 \, a^{4} b^{11} x^{\frac{11}{3}} + 918918 \, a^{5} b^{10} x^{\frac{10}{3}} + 1361360 \, a^{6} b^{9} x^{3} + 1575288 \, a^{7} b^{8} x^{\frac{8}{3}} + 1432080 \, a^{8} b^{7} x^{\frac{7}{3}} + 1021020 \, a^{9} b^{6} x^{2} + 565488 \, a^{10} b^{5} x^{\frac{5}{3}} + 238680 \, a^{11} b^{4} x^{\frac{4}{3}} + 74256 \, a^{12} b^{3} x + 16065 \, a^{13} b^{2} x^{\frac{2}{3}} + 2160 \, a^{14} b x^{\frac{1}{3}} + 136 \, a^{15}}{816 \, x^{6}}"," ",0,"-1/816*(816*b^15*x^5 + 9180*a*b^14*x^(14/3) + 51408*a^2*b^13*x^(13/3) + 185640*a^3*b^12*x^4 + 477360*a^4*b^11*x^(11/3) + 918918*a^5*b^10*x^(10/3) + 1361360*a^6*b^9*x^3 + 1575288*a^7*b^8*x^(8/3) + 1432080*a^8*b^7*x^(7/3) + 1021020*a^9*b^6*x^2 + 565488*a^10*b^5*x^(5/3) + 238680*a^11*b^4*x^(4/3) + 74256*a^12*b^3*x + 16065*a^13*b^2*x^(2/3) + 2160*a^14*b*x^(1/3) + 136*a^15)/x^6","B",0
2351,1,167,0,0.868336," ","integrate((a+b*x^(1/3))^15/x^8,x, algorithm=""maxima"")","-\frac{54264 \, b^{15} x^{5} + 697680 \, a b^{14} x^{\frac{14}{3}} + 4273290 \, a^{2} b^{13} x^{\frac{13}{3}} + 16460080 \, a^{3} b^{12} x^{4} + 44442216 \, a^{4} b^{11} x^{\frac{11}{3}} + 88884432 \, a^{5} b^{10} x^{\frac{10}{3}} + 135795660 \, a^{6} b^{9} x^{3} + 161164080 \, a^{7} b^{8} x^{\frac{8}{3}} + 149652360 \, a^{8} b^{7} x^{\frac{7}{3}} + 108636528 \, a^{9} b^{6} x^{2} + 61108047 \, a^{10} b^{5} x^{\frac{5}{3}} + 26142480 \, a^{11} b^{4} x^{\frac{4}{3}} + 8230040 \, a^{12} b^{3} x + 1799280 \, a^{13} b^{2} x^{\frac{2}{3}} + 244188 \, a^{14} b x^{\frac{1}{3}} + 15504 \, a^{15}}{108528 \, x^{7}}"," ",0,"-1/108528*(54264*b^15*x^5 + 697680*a*b^14*x^(14/3) + 4273290*a^2*b^13*x^(13/3) + 16460080*a^3*b^12*x^4 + 44442216*a^4*b^11*x^(11/3) + 88884432*a^5*b^10*x^(10/3) + 135795660*a^6*b^9*x^3 + 161164080*a^7*b^8*x^(8/3) + 149652360*a^8*b^7*x^(7/3) + 108636528*a^9*b^6*x^2 + 61108047*a^10*b^5*x^(5/3) + 26142480*a^11*b^4*x^(4/3) + 8230040*a^12*b^3*x + 1799280*a^13*b^2*x^(2/3) + 244188*a^14*b*x^(1/3) + 15504*a^15)/x^7","A",0
2352,1,167,0,0.946530," ","integrate((a+b*x^(1/3))^15/x^9,x, algorithm=""maxima"")","-\frac{1307504 \, b^{15} x^{5} + 17651304 \, a b^{14} x^{\frac{14}{3}} + 112326480 \, a^{2} b^{13} x^{\frac{13}{3}} + 446185740 \, a^{3} b^{12} x^{4} + 1235591280 \, a^{4} b^{11} x^{\frac{11}{3}} + 2524136472 \, a^{5} b^{10} x^{\frac{10}{3}} + 3926434512 \, a^{6} b^{9} x^{3} + 4732755885 \, a^{7} b^{8} x^{\frac{8}{3}} + 4454358480 \, a^{8} b^{7} x^{\frac{7}{3}} + 3272028760 \, a^{9} b^{6} x^{2} + 1859890032 \, a^{10} b^{5} x^{\frac{5}{3}} + 803134332 \, a^{11} b^{4} x^{\frac{4}{3}} + 254963280 \, a^{12} b^{3} x + 56163240 \, a^{13} b^{2} x^{\frac{2}{3}} + 7674480 \, a^{14} b x^{\frac{1}{3}} + 490314 \, a^{15}}{3922512 \, x^{8}}"," ",0,"-1/3922512*(1307504*b^15*x^5 + 17651304*a*b^14*x^(14/3) + 112326480*a^2*b^13*x^(13/3) + 446185740*a^3*b^12*x^4 + 1235591280*a^4*b^11*x^(11/3) + 2524136472*a^5*b^10*x^(10/3) + 3926434512*a^6*b^9*x^3 + 4732755885*a^7*b^8*x^(8/3) + 4454358480*a^8*b^7*x^(7/3) + 3272028760*a^9*b^6*x^2 + 1859890032*a^10*b^5*x^(5/3) + 803134332*a^11*b^4*x^(4/3) + 254963280*a^12*b^3*x + 56163240*a^13*b^2*x^(2/3) + 7674480*a^14*b*x^(1/3) + 490314*a^15)/x^8","A",0
2353,1,167,0,0.787720," ","integrate((a+b*x^(1/3))^15/x^10,x, algorithm=""maxima"")","-\frac{17383860 \, b^{15} x^{5} + 240699600 \, a b^{14} x^{\frac{14}{3}} + 1564547400 \, a^{2} b^{13} x^{\frac{13}{3}} + 6327725040 \, a^{3} b^{12} x^{4} + 17796726675 \, a^{4} b^{11} x^{\frac{11}{3}} + 36849692880 \, a^{5} b^{10} x^{\frac{10}{3}} + 58004146200 \, a^{6} b^{9} x^{3} + 70651666800 \, a^{7} b^{8} x^{\frac{8}{3}} + 67119083460 \, a^{8} b^{7} x^{\frac{7}{3}} + 49717839600 \, a^{9} b^{6} x^{2} + 28474762680 \, a^{10} b^{5} x^{\frac{5}{3}} + 12380331600 \, a^{11} b^{4} x^{\frac{4}{3}} + 3954828150 \, a^{12} b^{3} x + 876146544 \, a^{13} b^{2} x^{\frac{2}{3}} + 120349800 \, a^{14} b x^{\frac{1}{3}} + 7726160 \, a^{15}}{69535440 \, x^{9}}"," ",0,"-1/69535440*(17383860*b^15*x^5 + 240699600*a*b^14*x^(14/3) + 1564547400*a^2*b^13*x^(13/3) + 6327725040*a^3*b^12*x^4 + 17796726675*a^4*b^11*x^(11/3) + 36849692880*a^5*b^10*x^(10/3) + 58004146200*a^6*b^9*x^3 + 70651666800*a^7*b^8*x^(8/3) + 67119083460*a^8*b^7*x^(7/3) + 49717839600*a^9*b^6*x^2 + 28474762680*a^10*b^5*x^(5/3) + 12380331600*a^11*b^4*x^(4/3) + 3954828150*a^12*b^3*x + 876146544*a^13*b^2*x^(2/3) + 120349800*a^14*b*x^(1/3) + 7726160*a^15)/x^9","A",0
2354,1,167,0,0.949959," ","integrate((a+b*x^(1/3))^15/x^11,x, algorithm=""maxima"")","-\frac{155117520 \, b^{15} x^{5} + 2181340125 \, a b^{14} x^{\frac{14}{3}} + 14371182000 \, a^{2} b^{13} x^{\frac{13}{3}} + 58815393000 \, a^{3} b^{12} x^{4} + 167159538000 \, a^{4} b^{11} x^{\frac{11}{3}} + 349363434420 \, a^{5} b^{10} x^{\frac{10}{3}} + 554545134000 \, a^{6} b^{9} x^{3} + 680578119000 \, a^{7} b^{8} x^{\frac{8}{3}} + 650987766000 \, a^{8} b^{7} x^{\frac{7}{3}} + 485226992250 \, a^{9} b^{6} x^{2} + 279490747536 \, a^{10} b^{5} x^{\frac{5}{3}} + 122155047000 \, a^{11} b^{4} x^{\frac{4}{3}} + 39210262000 \, a^{12} b^{3} x + 8725360500 \, a^{13} b^{2} x^{\frac{2}{3}} + 1203498000 \, a^{14} b x^{\frac{1}{3}} + 77558760 \, a^{15}}{775587600 \, x^{10}}"," ",0,"-1/775587600*(155117520*b^15*x^5 + 2181340125*a*b^14*x^(14/3) + 14371182000*a^2*b^13*x^(13/3) + 58815393000*a^3*b^12*x^4 + 167159538000*a^4*b^11*x^(11/3) + 349363434420*a^5*b^10*x^(10/3) + 554545134000*a^6*b^9*x^3 + 680578119000*a^7*b^8*x^(8/3) + 650987766000*a^8*b^7*x^(7/3) + 485226992250*a^9*b^6*x^2 + 279490747536*a^10*b^5*x^(5/3) + 122155047000*a^11*b^4*x^(4/3) + 39210262000*a^12*b^3*x + 8725360500*a^13*b^2*x^(2/3) + 1203498000*a^14*b*x^(1/3) + 77558760*a^15)/x^10","A",0
2355,1,167,0,0.884317," ","integrate((a+b*x^(1/3))^15/x^12,x, algorithm=""maxima"")","-\frac{1037158320 \, b^{15} x^{5} + 14738565600 \, a b^{14} x^{\frac{14}{3}} + 98011461240 \, a^{2} b^{13} x^{\frac{13}{3}} + 404491744800 \, a^{3} b^{12} x^{4} + 1158317269200 \, a^{4} b^{11} x^{\frac{11}{3}} + 2437502427360 \, a^{5} b^{10} x^{\frac{10}{3}} + 3893233043700 \, a^{6} b^{9} x^{3} + 4805361928224 \, a^{7} b^{8} x^{\frac{8}{3}} + 4620540315600 \, a^{8} b^{7} x^{\frac{7}{3}} + 3460651594400 \, a^{9} b^{6} x^{2} + 2002234136760 \, a^{10} b^{5} x^{\frac{5}{3}} + 878723445600 \, a^{11} b^{4} x^{\frac{4}{3}} + 283144221360 \, a^{12} b^{3} x + 63233200800 \, a^{13} b^{2} x^{\frac{2}{3}} + 8751023325 \, a^{14} b x^{\frac{1}{3}} + 565722720 \, a^{15}}{6222949920 \, x^{11}}"," ",0,"-1/6222949920*(1037158320*b^15*x^5 + 14738565600*a*b^14*x^(14/3) + 98011461240*a^2*b^13*x^(13/3) + 404491744800*a^3*b^12*x^4 + 1158317269200*a^4*b^11*x^(11/3) + 2437502427360*a^5*b^10*x^(10/3) + 3893233043700*a^6*b^9*x^3 + 4805361928224*a^7*b^8*x^(8/3) + 4620540315600*a^8*b^7*x^(7/3) + 3460651594400*a^9*b^6*x^2 + 2002234136760*a^10*b^5*x^(5/3) + 878723445600*a^11*b^4*x^(4/3) + 283144221360*a^12*b^3*x + 63233200800*a^13*b^2*x^(2/3) + 8751023325*a^14*b*x^(1/3) + 565722720*a^15)/x^11","A",0
2356,1,197,0,0.920099," ","integrate(x^3/(a+b*x^(1/3)),x, algorithm=""maxima"")","-\frac{3 \, a^{11} \log\left(b x^{\frac{1}{3}} + a\right)}{b^{12}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{11}}{11 \, b^{12}} - \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10} a}{10 \, b^{12}} + \frac{55 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a^{2}}{3 \, b^{12}} - \frac{495 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{3}}{8 \, b^{12}} + \frac{990 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{4}}{7 \, b^{12}} - \frac{231 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{5}}{b^{12}} + \frac{1386 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{6}}{5 \, b^{12}} - \frac{495 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{7}}{2 \, b^{12}} + \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{8}}{b^{12}} - \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} a^{9}}{2 \, b^{12}} + \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)} a^{10}}{b^{12}}"," ",0,"-3*a^11*log(b*x^(1/3) + a)/b^12 + 3/11*(b*x^(1/3) + a)^11/b^12 - 33/10*(b*x^(1/3) + a)^10*a/b^12 + 55/3*(b*x^(1/3) + a)^9*a^2/b^12 - 495/8*(b*x^(1/3) + a)^8*a^3/b^12 + 990/7*(b*x^(1/3) + a)^7*a^4/b^12 - 231*(b*x^(1/3) + a)^6*a^5/b^12 + 1386/5*(b*x^(1/3) + a)^5*a^6/b^12 - 495/2*(b*x^(1/3) + a)^4*a^7/b^12 + 165*(b*x^(1/3) + a)^3*a^8/b^12 - 165/2*(b*x^(1/3) + a)^2*a^9/b^12 + 33*(b*x^(1/3) + a)*a^10/b^12","A",0
2357,1,146,0,0.878690," ","integrate(x^2/(a+b*x^(1/3)),x, algorithm=""maxima"")","\frac{3 \, a^{8} \log\left(b x^{\frac{1}{3}} + a\right)}{b^{9}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8}}{8 \, b^{9}} - \frac{24 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a}{7 \, b^{9}} + \frac{14 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{2}}{b^{9}} - \frac{168 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{3}}{5 \, b^{9}} + \frac{105 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{4}}{2 \, b^{9}} - \frac{56 \, {\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{5}}{b^{9}} + \frac{42 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} a^{6}}{b^{9}} - \frac{24 \, {\left(b x^{\frac{1}{3}} + a\right)} a^{7}}{b^{9}}"," ",0,"3*a^8*log(b*x^(1/3) + a)/b^9 + 3/8*(b*x^(1/3) + a)^8/b^9 - 24/7*(b*x^(1/3) + a)^7*a/b^9 + 14*(b*x^(1/3) + a)^6*a^2/b^9 - 168/5*(b*x^(1/3) + a)^5*a^3/b^9 + 105/2*(b*x^(1/3) + a)^4*a^4/b^9 - 56*(b*x^(1/3) + a)^3*a^5/b^9 + 42*(b*x^(1/3) + a)^2*a^6/b^9 - 24*(b*x^(1/3) + a)*a^7/b^9","A",0
2358,1,95,0,0.812981," ","integrate(x/(a+b*x^(1/3)),x, algorithm=""maxima"")","-\frac{3 \, a^{5} \log\left(b x^{\frac{1}{3}} + a\right)}{b^{6}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5}}{5 \, b^{6}} - \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a}{4 \, b^{6}} + \frac{10 \, {\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{2}}{b^{6}} - \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} a^{3}}{b^{6}} + \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)} a^{4}}{b^{6}}"," ",0,"-3*a^5*log(b*x^(1/3) + a)/b^6 + 3/5*(b*x^(1/3) + a)^5/b^6 - 15/4*(b*x^(1/3) + a)^4*a/b^6 + 10*(b*x^(1/3) + a)^3*a^2/b^6 - 15*(b*x^(1/3) + a)^2*a^3/b^6 + 15*(b*x^(1/3) + a)*a^4/b^6","A",0
2359,1,44,0,0.449401," ","integrate(1/(a+b*x^(1/3)),x, algorithm=""maxima"")","\frac{3 \, a^{2} \log\left(b x^{\frac{1}{3}} + a\right)}{b^{3}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2}}{2 \, b^{3}} - \frac{6 \, {\left(b x^{\frac{1}{3}} + a\right)} a}{b^{3}}"," ",0,"3*a^2*log(b*x^(1/3) + a)/b^3 + 3/2*(b*x^(1/3) + a)^2/b^3 - 6*(b*x^(1/3) + a)*a/b^3","A",0
2360,1,20,0,0.626463," ","integrate(1/(a+b*x^(1/3))/x,x, algorithm=""maxima"")","-\frac{3 \, \log\left(b x^{\frac{1}{3}} + a\right)}{a} + \frac{\log\left(x\right)}{a}"," ",0,"-3*log(b*x^(1/3) + a)/a + log(x)/a","A",0
2361,1,56,0,0.557620," ","integrate(1/(a+b*x^(1/3))/x^2,x, algorithm=""maxima"")","\frac{3 \, b^{3} \log\left(b x^{\frac{1}{3}} + a\right)}{a^{4}} - \frac{b^{3} \log\left(x\right)}{a^{4}} - \frac{6 \, b^{2} x^{\frac{2}{3}} - 3 \, a b x^{\frac{1}{3}} + 2 \, a^{2}}{2 \, a^{3} x}"," ",0,"3*b^3*log(b*x^(1/3) + a)/a^4 - b^3*log(x)/a^4 - 1/2*(6*b^2*x^(2/3) - 3*a*b*x^(1/3) + 2*a^2)/(a^3*x)","A",0
2362,1,86,0,0.543314," ","integrate(1/(a+b*x^(1/3))/x^3,x, algorithm=""maxima"")","-\frac{3 \, b^{6} \log\left(b x^{\frac{1}{3}} + a\right)}{a^{7}} + \frac{b^{6} \log\left(x\right)}{a^{7}} + \frac{60 \, b^{5} x^{\frac{5}{3}} - 30 \, a b^{4} x^{\frac{4}{3}} + 20 \, a^{2} b^{3} x - 15 \, a^{3} b^{2} x^{\frac{2}{3}} + 12 \, a^{4} b x^{\frac{1}{3}} - 10 \, a^{5}}{20 \, a^{6} x^{2}}"," ",0,"-3*b^6*log(b*x^(1/3) + a)/a^7 + b^6*log(x)/a^7 + 1/20*(60*b^5*x^(5/3) - 30*a*b^4*x^(4/3) + 20*a^2*b^3*x - 15*a^3*b^2*x^(2/3) + 12*a^4*b*x^(1/3) - 10*a^5)/(a^6*x^2)","A",0
2363,1,120,0,0.546499," ","integrate(1/(a+b*x^(1/3))/x^4,x, algorithm=""maxima"")","\frac{3 \, b^{9} \log\left(b x^{\frac{1}{3}} + a\right)}{a^{10}} - \frac{b^{9} \log\left(x\right)}{a^{10}} - \frac{2520 \, b^{8} x^{\frac{8}{3}} - 1260 \, a b^{7} x^{\frac{7}{3}} + 840 \, a^{2} b^{6} x^{2} - 630 \, a^{3} b^{5} x^{\frac{5}{3}} + 504 \, a^{4} b^{4} x^{\frac{4}{3}} - 420 \, a^{5} b^{3} x + 360 \, a^{6} b^{2} x^{\frac{2}{3}} - 315 \, a^{7} b x^{\frac{1}{3}} + 280 \, a^{8}}{840 \, a^{9} x^{3}}"," ",0,"3*b^9*log(b*x^(1/3) + a)/a^10 - b^9*log(x)/a^10 - 1/840*(2520*b^8*x^(8/3) - 1260*a*b^7*x^(7/3) + 840*a^2*b^6*x^2 - 630*a^3*b^5*x^(5/3) + 504*a^4*b^4*x^(4/3) - 420*a^5*b^3*x + 360*a^6*b^2*x^(2/3) - 315*a^7*b*x^(1/3) + 280*a^8)/(a^9*x^3)","A",0
2364,1,15,0,0.545748," ","integrate(1/(2+b*x^(1/3))/x,x, algorithm=""maxima"")","-\frac{3}{2} \, \log\left(b x^{\frac{1}{3}} + 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-3/2*log(b*x^(1/3) + 2) + 1/2*log(x)","A",0
2365,1,197,0,0.486171," ","integrate(x^3/(a+b*x^(1/3))^2,x, algorithm=""maxima"")","\frac{33 \, a^{10} \log\left(b x^{\frac{1}{3}} + a\right)}{b^{12}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{10}}{10 \, b^{12}} - \frac{11 \, {\left(b x^{\frac{1}{3}} + a\right)}^{9} a}{3 \, b^{12}} + \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a^{2}}{8 \, b^{12}} - \frac{495 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{3}}{7 \, b^{12}} + \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{4}}{b^{12}} - \frac{1386 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{5}}{5 \, b^{12}} + \frac{693 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{6}}{2 \, b^{12}} - \frac{330 \, {\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{7}}{b^{12}} + \frac{495 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} a^{8}}{2 \, b^{12}} - \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)} a^{9}}{b^{12}} + \frac{3 \, a^{11}}{{\left(b x^{\frac{1}{3}} + a\right)} b^{12}}"," ",0,"33*a^10*log(b*x^(1/3) + a)/b^12 + 3/10*(b*x^(1/3) + a)^10/b^12 - 11/3*(b*x^(1/3) + a)^9*a/b^12 + 165/8*(b*x^(1/3) + a)^8*a^2/b^12 - 495/7*(b*x^(1/3) + a)^7*a^3/b^12 + 165*(b*x^(1/3) + a)^6*a^4/b^12 - 1386/5*(b*x^(1/3) + a)^5*a^5/b^12 + 693/2*(b*x^(1/3) + a)^4*a^6/b^12 - 330*(b*x^(1/3) + a)^3*a^7/b^12 + 495/2*(b*x^(1/3) + a)^2*a^8/b^12 - 165*(b*x^(1/3) + a)*a^9/b^12 + 3*a^11/((b*x^(1/3) + a)*b^12)","A",0
2366,1,146,0,0.555840," ","integrate(x^2/(a+b*x^(1/3))^2,x, algorithm=""maxima"")","-\frac{24 \, a^{7} \log\left(b x^{\frac{1}{3}} + a\right)}{b^{9}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7}}{7 \, b^{9}} - \frac{4 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a}{b^{9}} + \frac{84 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{2}}{5 \, b^{9}} - \frac{42 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{3}}{b^{9}} + \frac{70 \, {\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{4}}{b^{9}} - \frac{84 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} a^{5}}{b^{9}} + \frac{84 \, {\left(b x^{\frac{1}{3}} + a\right)} a^{6}}{b^{9}} - \frac{3 \, a^{8}}{{\left(b x^{\frac{1}{3}} + a\right)} b^{9}}"," ",0,"-24*a^7*log(b*x^(1/3) + a)/b^9 + 3/7*(b*x^(1/3) + a)^7/b^9 - 4*(b*x^(1/3) + a)^6*a/b^9 + 84/5*(b*x^(1/3) + a)^5*a^2/b^9 - 42*(b*x^(1/3) + a)^4*a^3/b^9 + 70*(b*x^(1/3) + a)^3*a^4/b^9 - 84*(b*x^(1/3) + a)^2*a^5/b^9 + 84*(b*x^(1/3) + a)*a^6/b^9 - 3*a^8/((b*x^(1/3) + a)*b^9)","A",0
2367,1,95,0,0.485429," ","integrate(x/(a+b*x^(1/3))^2,x, algorithm=""maxima"")","\frac{15 \, a^{4} \log\left(b x^{\frac{1}{3}} + a\right)}{b^{6}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4}}{4 \, b^{6}} - \frac{5 \, {\left(b x^{\frac{1}{3}} + a\right)}^{3} a}{b^{6}} + \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} a^{2}}{b^{6}} - \frac{30 \, {\left(b x^{\frac{1}{3}} + a\right)} a^{3}}{b^{6}} + \frac{3 \, a^{5}}{{\left(b x^{\frac{1}{3}} + a\right)} b^{6}}"," ",0,"15*a^4*log(b*x^(1/3) + a)/b^6 + 3/4*(b*x^(1/3) + a)^4/b^6 - 5*(b*x^(1/3) + a)^3*a/b^6 + 15*(b*x^(1/3) + a)^2*a^2/b^6 - 30*(b*x^(1/3) + a)*a^3/b^6 + 3*a^5/((b*x^(1/3) + a)*b^6)","A",0
2368,1,44,0,0.530533," ","integrate(1/(a+b*x^(1/3))^2,x, algorithm=""maxima"")","-\frac{6 \, a \log\left(b x^{\frac{1}{3}} + a\right)}{b^{3}} + \frac{3 \, {\left(b x^{\frac{1}{3}} + a\right)}}{b^{3}} - \frac{3 \, a^{2}}{{\left(b x^{\frac{1}{3}} + a\right)} b^{3}}"," ",0,"-6*a*log(b*x^(1/3) + a)/b^3 + 3*(b*x^(1/3) + a)/b^3 - 3*a^2/((b*x^(1/3) + a)*b^3)","A",0
2369,1,34,0,0.543069," ","integrate(1/(a+b*x^(1/3))^2/x,x, algorithm=""maxima"")","\frac{3}{a b x^{\frac{1}{3}} + a^{2}} - \frac{3 \, \log\left(b x^{\frac{1}{3}} + a\right)}{a^{2}} + \frac{\log\left(x\right)}{a^{2}}"," ",0,"3/(a*b*x^(1/3) + a^2) - 3*log(b*x^(1/3) + a)/a^2 + log(x)/a^2","A",0
2370,1,73,0,0.573407," ","integrate(1/(a+b*x^(1/3))^2/x^2,x, algorithm=""maxima"")","-\frac{12 \, b^{3} x + 6 \, a b^{2} x^{\frac{2}{3}} - 2 \, a^{2} b x^{\frac{1}{3}} + a^{3}}{a^{4} b x^{\frac{4}{3}} + a^{5} x} + \frac{12 \, b^{3} \log\left(b x^{\frac{1}{3}} + a\right)}{a^{5}} - \frac{4 \, b^{3} \log\left(x\right)}{a^{5}}"," ",0,"-(12*b^3*x + 6*a*b^2*x^(2/3) - 2*a^2*b*x^(1/3) + a^3)/(a^4*b*x^(4/3) + a^5*x) + 12*b^3*log(b*x^(1/3) + a)/a^5 - 4*b^3*log(x)/a^5","A",0
2371,1,110,0,0.528340," ","integrate(1/(a+b*x^(1/3))^2/x^3,x, algorithm=""maxima"")","\frac{420 \, b^{6} x^{2} + 210 \, a b^{5} x^{\frac{5}{3}} - 70 \, a^{2} b^{4} x^{\frac{4}{3}} + 35 \, a^{3} b^{3} x - 21 \, a^{4} b^{2} x^{\frac{2}{3}} + 14 \, a^{5} b x^{\frac{1}{3}} - 10 \, a^{6}}{20 \, {\left(a^{7} b x^{\frac{7}{3}} + a^{8} x^{2}\right)}} - \frac{21 \, b^{6} \log\left(b x^{\frac{1}{3}} + a\right)}{a^{8}} + \frac{7 \, b^{6} \log\left(x\right)}{a^{8}}"," ",0,"1/20*(420*b^6*x^2 + 210*a*b^5*x^(5/3) - 70*a^2*b^4*x^(4/3) + 35*a^3*b^3*x - 21*a^4*b^2*x^(2/3) + 14*a^5*b*x^(1/3) - 10*a^6)/(a^7*b*x^(7/3) + a^8*x^2) - 21*b^6*log(b*x^(1/3) + a)/a^8 + 7*b^6*log(x)/a^8","A",0
2372,1,143,0,0.531030," ","integrate(1/(a+b*x^(1/3))^2/x^4,x, algorithm=""maxima"")","-\frac{2520 \, b^{9} x^{3} + 1260 \, a b^{8} x^{\frac{8}{3}} - 420 \, a^{2} b^{7} x^{\frac{7}{3}} + 210 \, a^{3} b^{6} x^{2} - 126 \, a^{4} b^{5} x^{\frac{5}{3}} + 84 \, a^{5} b^{4} x^{\frac{4}{3}} - 60 \, a^{6} b^{3} x + 45 \, a^{7} b^{2} x^{\frac{2}{3}} - 35 \, a^{8} b x^{\frac{1}{3}} + 28 \, a^{9}}{84 \, {\left(a^{10} b x^{\frac{10}{3}} + a^{11} x^{3}\right)}} + \frac{30 \, b^{9} \log\left(b x^{\frac{1}{3}} + a\right)}{a^{11}} - \frac{10 \, b^{9} \log\left(x\right)}{a^{11}}"," ",0,"-1/84*(2520*b^9*x^3 + 1260*a*b^8*x^(8/3) - 420*a^2*b^7*x^(7/3) + 210*a^3*b^6*x^2 - 126*a^4*b^5*x^(5/3) + 84*a^5*b^4*x^(4/3) - 60*a^6*b^3*x + 45*a^7*b^2*x^(2/3) - 35*a^8*b*x^(1/3) + 28*a^9)/(a^10*b*x^(10/3) + a^11*x^3) + 30*b^9*log(b*x^(1/3) + a)/a^11 - 10*b^9*log(x)/a^11","A",0
2373,1,197,0,0.508335," ","integrate(x^3/(a+b*x^(1/3))^3,x, algorithm=""maxima"")","-\frac{165 \, a^{9} \log\left(b x^{\frac{1}{3}} + a\right)}{b^{12}} + \frac{{\left(b x^{\frac{1}{3}} + a\right)}^{9}}{3 \, b^{12}} - \frac{33 \, {\left(b x^{\frac{1}{3}} + a\right)}^{8} a}{8 \, b^{12}} + \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{7} a^{2}}{7 \, b^{12}} - \frac{165 \, {\left(b x^{\frac{1}{3}} + a\right)}^{6} a^{3}}{2 \, b^{12}} + \frac{198 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a^{4}}{b^{12}} - \frac{693 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{5}}{2 \, b^{12}} + \frac{462 \, {\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{6}}{b^{12}} - \frac{495 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} a^{7}}{b^{12}} + \frac{495 \, {\left(b x^{\frac{1}{3}} + a\right)} a^{8}}{b^{12}} - \frac{33 \, a^{10}}{{\left(b x^{\frac{1}{3}} + a\right)} b^{12}} + \frac{3 \, a^{11}}{2 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} b^{12}}"," ",0,"-165*a^9*log(b*x^(1/3) + a)/b^12 + 1/3*(b*x^(1/3) + a)^9/b^12 - 33/8*(b*x^(1/3) + a)^8*a/b^12 + 165/7*(b*x^(1/3) + a)^7*a^2/b^12 - 165/2*(b*x^(1/3) + a)^6*a^3/b^12 + 198*(b*x^(1/3) + a)^5*a^4/b^12 - 693/2*(b*x^(1/3) + a)^4*a^5/b^12 + 462*(b*x^(1/3) + a)^3*a^6/b^12 - 495*(b*x^(1/3) + a)^2*a^7/b^12 + 495*(b*x^(1/3) + a)*a^8/b^12 - 33*a^10/((b*x^(1/3) + a)*b^12) + 3/2*a^11/((b*x^(1/3) + a)^2*b^12)","A",0
2374,1,146,0,0.509631," ","integrate(x^2/(a+b*x^(1/3))^3,x, algorithm=""maxima"")","\frac{84 \, a^{6} \log\left(b x^{\frac{1}{3}} + a\right)}{b^{9}} + \frac{{\left(b x^{\frac{1}{3}} + a\right)}^{6}}{2 \, b^{9}} - \frac{24 \, {\left(b x^{\frac{1}{3}} + a\right)}^{5} a}{5 \, b^{9}} + \frac{21 \, {\left(b x^{\frac{1}{3}} + a\right)}^{4} a^{2}}{b^{9}} - \frac{56 \, {\left(b x^{\frac{1}{3}} + a\right)}^{3} a^{3}}{b^{9}} + \frac{105 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} a^{4}}{b^{9}} - \frac{168 \, {\left(b x^{\frac{1}{3}} + a\right)} a^{5}}{b^{9}} + \frac{24 \, a^{7}}{{\left(b x^{\frac{1}{3}} + a\right)} b^{9}} - \frac{3 \, a^{8}}{2 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} b^{9}}"," ",0,"84*a^6*log(b*x^(1/3) + a)/b^9 + 1/2*(b*x^(1/3) + a)^6/b^9 - 24/5*(b*x^(1/3) + a)^5*a/b^9 + 21*(b*x^(1/3) + a)^4*a^2/b^9 - 56*(b*x^(1/3) + a)^3*a^3/b^9 + 105*(b*x^(1/3) + a)^2*a^4/b^9 - 168*(b*x^(1/3) + a)*a^5/b^9 + 24*a^7/((b*x^(1/3) + a)*b^9) - 3/2*a^8/((b*x^(1/3) + a)^2*b^9)","A",0
2375,1,94,0,0.632087," ","integrate(x/(a+b*x^(1/3))^3,x, algorithm=""maxima"")","-\frac{30 \, a^{3} \log\left(b x^{\frac{1}{3}} + a\right)}{b^{6}} + \frac{{\left(b x^{\frac{1}{3}} + a\right)}^{3}}{b^{6}} - \frac{15 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} a}{2 \, b^{6}} + \frac{30 \, {\left(b x^{\frac{1}{3}} + a\right)} a^{2}}{b^{6}} - \frac{15 \, a^{4}}{{\left(b x^{\frac{1}{3}} + a\right)} b^{6}} + \frac{3 \, a^{5}}{2 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} b^{6}}"," ",0,"-30*a^3*log(b*x^(1/3) + a)/b^6 + (b*x^(1/3) + a)^3/b^6 - 15/2*(b*x^(1/3) + a)^2*a/b^6 + 30*(b*x^(1/3) + a)*a^2/b^6 - 15*a^4/((b*x^(1/3) + a)*b^6) + 3/2*a^5/((b*x^(1/3) + a)^2*b^6)","A",0
2376,1,46,0,0.539401," ","integrate(1/(a+b*x^(1/3))^3,x, algorithm=""maxima"")","\frac{3 \, \log\left(b x^{\frac{1}{3}} + a\right)}{b^{3}} + \frac{6 \, a}{{\left(b x^{\frac{1}{3}} + a\right)} b^{3}} - \frac{3 \, a^{2}}{2 \, {\left(b x^{\frac{1}{3}} + a\right)}^{2} b^{3}}"," ",0,"3*log(b*x^(1/3) + a)/b^3 + 6*a/((b*x^(1/3) + a)*b^3) - 3/2*a^2/((b*x^(1/3) + a)^2*b^3)","A",0
2377,1,57,0,0.493305," ","integrate(1/(a+b*x^(1/3))^3/x,x, algorithm=""maxima"")","\frac{3 \, {\left(2 \, b x^{\frac{1}{3}} + 3 \, a\right)}}{2 \, {\left(a^{2} b^{2} x^{\frac{2}{3}} + 2 \, a^{3} b x^{\frac{1}{3}} + a^{4}\right)}} - \frac{3 \, \log\left(b x^{\frac{1}{3}} + a\right)}{a^{3}} + \frac{\log\left(x\right)}{a^{3}}"," ",0,"3/2*(2*b*x^(1/3) + 3*a)/(a^2*b^2*x^(2/3) + 2*a^3*b*x^(1/3) + a^4) - 3*log(b*x^(1/3) + a)/a^3 + log(x)/a^3","A",0
2378,1,97,0,0.636013," ","integrate(1/(a+b*x^(1/3))^3/x^2,x, algorithm=""maxima"")","-\frac{60 \, b^{4} x^{\frac{4}{3}} + 90 \, a b^{3} x + 20 \, a^{2} b^{2} x^{\frac{2}{3}} - 5 \, a^{3} b x^{\frac{1}{3}} + 2 \, a^{4}}{2 \, {\left(a^{5} b^{2} x^{\frac{5}{3}} + 2 \, a^{6} b x^{\frac{4}{3}} + a^{7} x\right)}} + \frac{30 \, b^{3} \log\left(b x^{\frac{1}{3}} + a\right)}{a^{6}} - \frac{10 \, b^{3} \log\left(x\right)}{a^{6}}"," ",0,"-1/2*(60*b^4*x^(4/3) + 90*a*b^3*x + 20*a^2*b^2*x^(2/3) - 5*a^3*b*x^(1/3) + 2*a^4)/(a^5*b^2*x^(5/3) + 2*a^6*b*x^(4/3) + a^7*x) + 30*b^3*log(b*x^(1/3) + a)/a^6 - 10*b^3*log(x)/a^6","A",0
2379,1,132,0,0.525747," ","integrate(1/(a+b*x^(1/3))^3/x^3,x, algorithm=""maxima"")","\frac{840 \, b^{7} x^{\frac{7}{3}} + 1260 \, a b^{6} x^{2} + 280 \, a^{2} b^{5} x^{\frac{5}{3}} - 70 \, a^{3} b^{4} x^{\frac{4}{3}} + 28 \, a^{4} b^{3} x - 14 \, a^{5} b^{2} x^{\frac{2}{3}} + 8 \, a^{6} b x^{\frac{1}{3}} - 5 \, a^{7}}{10 \, {\left(a^{8} b^{2} x^{\frac{8}{3}} + 2 \, a^{9} b x^{\frac{7}{3}} + a^{10} x^{2}\right)}} - \frac{84 \, b^{6} \log\left(b x^{\frac{1}{3}} + a\right)}{a^{9}} + \frac{28 \, b^{6} \log\left(x\right)}{a^{9}}"," ",0,"1/10*(840*b^7*x^(7/3) + 1260*a*b^6*x^2 + 280*a^2*b^5*x^(5/3) - 70*a^3*b^4*x^(4/3) + 28*a^4*b^3*x - 14*a^5*b^2*x^(2/3) + 8*a^6*b*x^(1/3) - 5*a^7)/(a^8*b^2*x^(8/3) + 2*a^9*b*x^(7/3) + a^10*x^2) - 84*b^6*log(b*x^(1/3) + a)/a^9 + 28*b^6*log(x)/a^9","A",0
2380,1,165,0,0.559409," ","integrate(1/(a+b*x^(1/3))^3/x^4,x, algorithm=""maxima"")","-\frac{27720 \, b^{10} x^{\frac{10}{3}} + 41580 \, a b^{9} x^{3} + 9240 \, a^{2} b^{8} x^{\frac{8}{3}} - 2310 \, a^{3} b^{7} x^{\frac{7}{3}} + 924 \, a^{4} b^{6} x^{2} - 462 \, a^{5} b^{5} x^{\frac{5}{3}} + 264 \, a^{6} b^{4} x^{\frac{4}{3}} - 165 \, a^{7} b^{3} x + 110 \, a^{8} b^{2} x^{\frac{2}{3}} - 77 \, a^{9} b x^{\frac{1}{3}} + 56 \, a^{10}}{168 \, {\left(a^{11} b^{2} x^{\frac{11}{3}} + 2 \, a^{12} b x^{\frac{10}{3}} + a^{13} x^{3}\right)}} + \frac{165 \, b^{9} \log\left(b x^{\frac{1}{3}} + a\right)}{a^{12}} - \frac{55 \, b^{9} \log\left(x\right)}{a^{12}}"," ",0,"-1/168*(27720*b^10*x^(10/3) + 41580*a*b^9*x^3 + 9240*a^2*b^8*x^(8/3) - 2310*a^3*b^7*x^(7/3) + 924*a^4*b^6*x^2 - 462*a^5*b^5*x^(5/3) + 264*a^6*b^4*x^(4/3) - 165*a^7*b^3*x + 110*a^8*b^2*x^(2/3) - 77*a^9*b*x^(1/3) + 56*a^10)/(a^11*b^2*x^(11/3) + 2*a^12*b*x^(10/3) + a^13*x^3) + 165*b^9*log(b*x^(1/3) + a)/a^12 - 55*b^9*log(x)/a^12","A",0
2381,1,28,0,0.585725," ","integrate(1/(1+x^(1/3))^(1/2),x, algorithm=""maxima"")","\frac{6}{5} \, {\left(x^{\frac{1}{3}} + 1\right)}^{\frac{5}{2}} - 4 \, {\left(x^{\frac{1}{3}} + 1\right)}^{\frac{3}{2}} + 6 \, \sqrt{x^{\frac{1}{3}} + 1}"," ",0,"6/5*(x^(1/3) + 1)^(5/2) - 4*(x^(1/3) + 1)^(3/2) + 6*sqrt(x^(1/3) + 1)","A",0
2382,1,19,0,1.216691," ","integrate(1/(1+x^(1/3))/x^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, x^{\frac{1}{3}} - 1\right)}}{\sqrt{x}} + 6 \, \arctan\left(x^{\frac{1}{6}}\right)"," ",0,"2*(3*x^(1/3) - 1)/sqrt(x) + 6*arctan(x^(1/6))","A",0
2383,1,42,0,0.563782," ","integrate(x^(2/3)/(1+x^(1/3)),x, algorithm=""maxima"")","\frac{3}{4} \, {\left(x^{\frac{1}{3}} + 1\right)}^{4} - 4 \, {\left(x^{\frac{1}{3}} + 1\right)}^{3} + 9 \, {\left(x^{\frac{1}{3}} + 1\right)}^{2} - 12 \, x^{\frac{1}{3}} + 3 \, \log\left(x^{\frac{1}{3}} + 1\right) - 12"," ",0,"3/4*(x^(1/3) + 1)^4 - 4*(x^(1/3) + 1)^3 + 9*(x^(1/3) + 1)^2 - 12*x^(1/3) + 3*log(x^(1/3) + 1) - 12","A",0
2384,1,12,0,1.198754," ","integrate(1/(1+x^(2/3)),x, algorithm=""maxima"")","3 \, x^{\frac{1}{3}} - 3 \, \arctan\left(x^{\frac{1}{3}}\right)"," ",0,"3*x^(1/3) - 3*arctan(x^(1/3))","A",0
2385,1,8,0,0.514055," ","integrate(1/(1+x^(2/3))/x^(1/3),x, algorithm=""maxima"")","\frac{3}{2} \, \log\left(x^{\frac{2}{3}} + 1\right)"," ",0,"3/2*log(x^(2/3) + 1)","A",0
2386,1,6,0,1.114306," ","integrate(1/(1+x^(2/3))/x^(2/3),x, algorithm=""maxima"")","3 \, \arctan\left(x^{\frac{1}{3}}\right)"," ",0,"3*arctan(x^(1/3))","A",0
2387,1,7,0,0.524392," ","integrate((-1+x^(2/3))^(1/2)/x^(1/3),x, algorithm=""maxima"")","{\left(x^{\frac{2}{3}} - 1\right)}^{\frac{3}{2}}"," ",0,"(x^(2/3) - 1)^(3/2)","A",0
2388,1,9,0,0.445899," ","integrate((1+x^(2/3))^(3/2)/x^(1/3),x, algorithm=""maxima"")","\frac{3}{5} \, {\left(x^{\frac{2}{3}} + 1\right)}^{\frac{5}{2}}"," ",0,"3/5*(x^(2/3) + 1)^(5/2)","A",0
2389,1,88,0,1.254643," ","integrate(x^(1/2)/(1+x^(2/3)),x, algorithm=""maxima"")","\frac{3}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, x^{\frac{1}{6}}\right)}\right) + \frac{3}{2} \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, x^{\frac{1}{6}}\right)}\right) + \frac{3}{4} \, \sqrt{2} \log\left(\sqrt{2} x^{\frac{1}{6}} + x^{\frac{1}{3}} + 1\right) - \frac{3}{4} \, \sqrt{2} \log\left(-\sqrt{2} x^{\frac{1}{6}} + x^{\frac{1}{3}} + 1\right) + \frac{6}{5} \, x^{\frac{5}{6}} - 6 \, x^{\frac{1}{6}}"," ",0,"3/2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*x^(1/6))) + 3/2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*x^(1/6))) + 3/4*sqrt(2)*log(sqrt(2)*x^(1/6) + x^(1/3) + 1) - 3/4*sqrt(2)*log(-sqrt(2)*x^(1/6) + x^(1/3) + 1) + 6/5*x^(5/6) - 6*x^(1/6)","A",0
2390,1,272,0,1.188024," ","integrate(x^(1/3)/(-1+x^(5/6)),x, algorithm=""maxima"")","-\frac{6}{5} \, \left(-1\right)^{\frac{3}{5}} \log\left(\left(-1\right)^{\frac{1}{5}} + x^{\frac{1}{6}}\right) - \frac{6 \, \sqrt{5} \left(-1\right)^{\frac{3}{5}} \log\left(\frac{\sqrt{5} \left(-1\right)^{\frac{1}{5}} + \left(-1\right)^{\frac{1}{5}} \sqrt{2 \, \sqrt{5} - 10} + \left(-1\right)^{\frac{1}{5}} - 4 \, x^{\frac{1}{6}}}{\sqrt{5} \left(-1\right)^{\frac{1}{5}} - \left(-1\right)^{\frac{1}{5}} \sqrt{2 \, \sqrt{5} - 10} + \left(-1\right)^{\frac{1}{5}} - 4 \, x^{\frac{1}{6}}}\right)}{5 \, \sqrt{2 \, \sqrt{5} - 10}} + \frac{6 \, \sqrt{5} \left(-1\right)^{\frac{3}{5}} \log\left(\frac{\sqrt{5} \left(-1\right)^{\frac{1}{5}} - \left(-1\right)^{\frac{1}{5}} \sqrt{-2 \, \sqrt{5} - 10} - \left(-1\right)^{\frac{1}{5}} + 4 \, x^{\frac{1}{6}}}{\sqrt{5} \left(-1\right)^{\frac{1}{5}} + \left(-1\right)^{\frac{1}{5}} \sqrt{-2 \, \sqrt{5} - 10} - \left(-1\right)^{\frac{1}{5}} + 4 \, x^{\frac{1}{6}}}\right)}{5 \, \sqrt{-2 \, \sqrt{5} - 10}} + 2 \, \sqrt{x} + \frac{6 \, \log\left(-x^{\frac{1}{6}} {\left(\sqrt{5} \left(-1\right)^{\frac{1}{5}} + \left(-1\right)^{\frac{1}{5}}\right)} + 2 \, \left(-1\right)^{\frac{2}{5}} + 2 \, x^{\frac{1}{3}}\right)}{5 \, {\left(\sqrt{5} \left(-1\right)^{\frac{2}{5}} + \left(-1\right)^{\frac{2}{5}}\right)}} - \frac{6 \, \log\left(x^{\frac{1}{6}} {\left(\sqrt{5} \left(-1\right)^{\frac{1}{5}} - \left(-1\right)^{\frac{1}{5}}\right)} + 2 \, \left(-1\right)^{\frac{2}{5}} + 2 \, x^{\frac{1}{3}}\right)}{5 \, {\left(\sqrt{5} \left(-1\right)^{\frac{2}{5}} - \left(-1\right)^{\frac{2}{5}}\right)}}"," ",0,"-6/5*(-1)^(3/5)*log((-1)^(1/5) + x^(1/6)) - 6/5*sqrt(5)*(-1)^(3/5)*log((sqrt(5)*(-1)^(1/5) + (-1)^(1/5)*sqrt(2*sqrt(5) - 10) + (-1)^(1/5) - 4*x^(1/6))/(sqrt(5)*(-1)^(1/5) - (-1)^(1/5)*sqrt(2*sqrt(5) - 10) + (-1)^(1/5) - 4*x^(1/6)))/sqrt(2*sqrt(5) - 10) + 6/5*sqrt(5)*(-1)^(3/5)*log((sqrt(5)*(-1)^(1/5) - (-1)^(1/5)*sqrt(-2*sqrt(5) - 10) - (-1)^(1/5) + 4*x^(1/6))/(sqrt(5)*(-1)^(1/5) + (-1)^(1/5)*sqrt(-2*sqrt(5) - 10) - (-1)^(1/5) + 4*x^(1/6)))/sqrt(-2*sqrt(5) - 10) + 2*sqrt(x) + 6/5*log(-x^(1/6)*(sqrt(5)*(-1)^(1/5) + (-1)^(1/5)) + 2*(-1)^(2/5) + 2*x^(1/3))/(sqrt(5)*(-1)^(2/5) + (-1)^(2/5)) - 6/5*log(x^(1/6)*(sqrt(5)*(-1)^(1/5) - (-1)^(1/5)) + 2*(-1)^(2/5) + 2*x^(1/3))/(sqrt(5)*(-1)^(2/5) - (-1)^(2/5))","B",0
2391,1,78,0,1.208593," ","integrate((3-1/x^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{1}{36} \, \sqrt{3} \log\left(-\frac{\sqrt{3} - \sqrt{-\frac{1}{\sqrt{x}} + 3}}{\sqrt{3} + \sqrt{-\frac{1}{\sqrt{x}} + 3}}\right) + \frac{{\left(-\frac{1}{\sqrt{x}} + 3\right)}^{\frac{3}{2}} + 3 \, \sqrt{-\frac{1}{\sqrt{x}} + 3}}{6 \, {\left({\left(\frac{1}{\sqrt{x}} - 3\right)}^{2} + \frac{6}{\sqrt{x}} - 9\right)}}"," ",0,"1/36*sqrt(3)*log(-(sqrt(3) - sqrt(-1/sqrt(x) + 3))/(sqrt(3) + sqrt(-1/sqrt(x) + 3))) + 1/6*((-1/sqrt(x) + 3)^(3/2) + 3*sqrt(-1/sqrt(x) + 3))/((1/sqrt(x) - 3)^2 + 6/sqrt(x) - 9)","A",0
2392,1,62,0,0.483150," ","integrate(1/(1+1/x^(1/2))^(1/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(\frac{1}{\sqrt{x}} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{\frac{1}{\sqrt{x}} + 1}}{2 \, {\left({\left(\frac{1}{\sqrt{x}} + 1\right)}^{2} - \frac{2}{\sqrt{x}} - 1\right)}} + \frac{3}{4} \, \log\left(\sqrt{\frac{1}{\sqrt{x}} + 1} + 1\right) - \frac{3}{4} \, \log\left(\sqrt{\frac{1}{\sqrt{x}} + 1} - 1\right)"," ",0,"-1/2*(3*(1/sqrt(x) + 1)^(3/2) - 5*sqrt(1/sqrt(x) + 1))/((1/sqrt(x) + 1)^2 - 2/sqrt(x) - 1) + 3/4*log(sqrt(1/sqrt(x) + 1) + 1) - 3/4*log(sqrt(1/sqrt(x) + 1) - 1)","A",0
2393,1,109,0,1.275800," ","integrate((a+b/x^(3/2))^(2/3),x, algorithm=""maxima"")","\frac{2}{3} \, \sqrt{3} b^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(a + \frac{b}{x^{\frac{3}{2}}}\right)}^{\frac{1}{3}} \sqrt{x} + b^{\frac{1}{3}}\right)}}{3 \, b^{\frac{1}{3}}}\right) + {\left(a + \frac{b}{x^{\frac{3}{2}}}\right)}^{\frac{2}{3}} x - \frac{1}{3} \, b^{\frac{2}{3}} \log\left({\left(a + \frac{b}{x^{\frac{3}{2}}}\right)}^{\frac{2}{3}} x + {\left(a + \frac{b}{x^{\frac{3}{2}}}\right)}^{\frac{1}{3}} b^{\frac{1}{3}} \sqrt{x} + b^{\frac{2}{3}}\right) + \frac{2}{3} \, b^{\frac{2}{3}} \log\left({\left(a + \frac{b}{x^{\frac{3}{2}}}\right)}^{\frac{1}{3}} \sqrt{x} - b^{\frac{1}{3}}\right)"," ",0,"2/3*sqrt(3)*b^(2/3)*arctan(1/3*sqrt(3)*(2*(a + b/x^(3/2))^(1/3)*sqrt(x) + b^(1/3))/b^(1/3)) + (a + b/x^(3/2))^(2/3)*x - 1/3*b^(2/3)*log((a + b/x^(3/2))^(2/3)*x + (a + b/x^(3/2))^(1/3)*b^(1/3)*sqrt(x) + b^(2/3)) + 2/3*b^(2/3)*log((a + b/x^(3/2))^(1/3)*sqrt(x) - b^(1/3))","A",0
2394,1,15,0,0.467073," ","integrate((a+b/x^(1/3))*x^4,x, algorithm=""maxima"")","\frac{1}{70} \, {\left(14 \, a + \frac{15 \, b}{x^{\frac{1}{3}}}\right)} x^{5}"," ",0,"1/70*(14*a + 15*b/x^(1/3))*x^5","A",0
2395,1,15,0,0.560986," ","integrate((a+b/x^(1/3))*x^3,x, algorithm=""maxima"")","\frac{1}{44} \, {\left(11 \, a + \frac{12 \, b}{x^{\frac{1}{3}}}\right)} x^{4}"," ",0,"1/44*(11*a + 12*b/x^(1/3))*x^4","A",0
2396,1,15,0,0.497685," ","integrate((a+b/x^(1/3))*x^2,x, algorithm=""maxima"")","\frac{1}{24} \, {\left(8 \, a + \frac{9 \, b}{x^{\frac{1}{3}}}\right)} x^{3}"," ",0,"1/24*(8*a + 9*b/x^(1/3))*x^3","A",0
2397,1,15,0,0.595206," ","integrate((a+b/x^(1/3))*x,x, algorithm=""maxima"")","\frac{1}{10} \, {\left(5 \, a + \frac{6 \, b}{x^{\frac{1}{3}}}\right)} x^{2}"," ",0,"1/10*(5*a + 6*b/x^(1/3))*x^2","A",0
2398,1,10,0,0.660783," ","integrate(a+b/x^(1/3),x, algorithm=""maxima"")","a x + \frac{3}{2} \, b x^{\frac{2}{3}}"," ",0,"a*x + 3/2*b*x^(2/3)","A",0
2399,1,11,0,0.601641," ","integrate((a+b/x^(1/3))/x,x, algorithm=""maxima"")","a \log\left(x\right) - \frac{3 \, b}{x^{\frac{1}{3}}}"," ",0,"a*log(x) - 3*b/x^(1/3)","A",0
2400,1,47,0,0.522209," ","integrate((a+b/x^(1/3))/x^2,x, algorithm=""maxima"")","-\frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4}}{4 \, b^{3}} + \frac{2 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a}{b^{3}} - \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} a^{2}}{2 \, b^{3}}"," ",0,"-3/4*(a + b/x^(1/3))^4/b^3 + 2*(a + b/x^(1/3))^3*a/b^3 - 3/2*(a + b/x^(1/3))^2*a^2/b^3","B",0
2401,1,98,0,0.524603," ","integrate((a+b/x^(1/3))/x^3,x, algorithm=""maxima"")","-\frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{7}}{7 \, b^{6}} + \frac{5 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{6} a}{2 \, b^{6}} - \frac{6 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5} a^{2}}{b^{6}} + \frac{15 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a^{3}}{2 \, b^{6}} - \frac{5 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a^{4}}{b^{6}} + \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} a^{5}}{2 \, b^{6}}"," ",0,"-3/7*(a + b/x^(1/3))^7/b^6 + 5/2*(a + b/x^(1/3))^6*a/b^6 - 6*(a + b/x^(1/3))^5*a^2/b^6 + 15/2*(a + b/x^(1/3))^4*a^3/b^6 - 5*(a + b/x^(1/3))^3*a^4/b^6 + 3/2*(a + b/x^(1/3))^2*a^5/b^6","B",0
2402,1,149,0,0.667264," ","integrate((a+b/x^(1/3))/x^4,x, algorithm=""maxima"")","-\frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{10}}{10 \, b^{9}} + \frac{8 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{9} a}{3 \, b^{9}} - \frac{21 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{8} a^{2}}{2 \, b^{9}} + \frac{24 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{7} a^{3}}{b^{9}} - \frac{35 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{6} a^{4}}{b^{9}} + \frac{168 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5} a^{5}}{5 \, b^{9}} - \frac{21 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a^{6}}{b^{9}} + \frac{8 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a^{7}}{b^{9}} - \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} a^{8}}{2 \, b^{9}}"," ",0,"-3/10*(a + b/x^(1/3))^10/b^9 + 8/3*(a + b/x^(1/3))^9*a/b^9 - 21/2*(a + b/x^(1/3))^8*a^2/b^9 + 24*(a + b/x^(1/3))^7*a^3/b^9 - 35*(a + b/x^(1/3))^6*a^4/b^9 + 168/5*(a + b/x^(1/3))^5*a^5/b^9 - 21*(a + b/x^(1/3))^4*a^6/b^9 + 8*(a + b/x^(1/3))^3*a^7/b^9 - 3/2*(a + b/x^(1/3))^2*a^8/b^9","B",0
2403,1,26,0,0.542687," ","integrate((a+b/x^(1/3))^2*x^4,x, algorithm=""maxima"")","\frac{1}{455} \, {\left(91 \, a^{2} + \frac{195 \, a b}{x^{\frac{1}{3}}} + \frac{105 \, b^{2}}{x^{\frac{2}{3}}}\right)} x^{5}"," ",0,"1/455*(91*a^2 + 195*a*b/x^(1/3) + 105*b^2/x^(2/3))*x^5","A",0
2404,1,26,0,0.591323," ","integrate((a+b/x^(1/3))^2*x^3,x, algorithm=""maxima"")","\frac{1}{220} \, {\left(55 \, a^{2} + \frac{120 \, a b}{x^{\frac{1}{3}}} + \frac{66 \, b^{2}}{x^{\frac{2}{3}}}\right)} x^{4}"," ",0,"1/220*(55*a^2 + 120*a*b/x^(1/3) + 66*b^2/x^(2/3))*x^4","A",0
2405,1,26,0,0.438483," ","integrate((a+b/x^(1/3))^2*x^2,x, algorithm=""maxima"")","\frac{1}{84} \, {\left(28 \, a^{2} + \frac{63 \, a b}{x^{\frac{1}{3}}} + \frac{36 \, b^{2}}{x^{\frac{2}{3}}}\right)} x^{3}"," ",0,"1/84*(28*a^2 + 63*a*b/x^(1/3) + 36*b^2/x^(2/3))*x^3","A",0
2406,1,26,0,0.515051," ","integrate((a+b/x^(1/3))^2*x,x, algorithm=""maxima"")","\frac{1}{20} \, {\left(10 \, a^{2} + \frac{24 \, a b}{x^{\frac{1}{3}}} + \frac{15 \, b^{2}}{x^{\frac{2}{3}}}\right)} x^{2}"," ",0,"1/20*(10*a^2 + 24*a*b/x^(1/3) + 15*b^2/x^(2/3))*x^2","A",0
2407,1,21,0,0.611798," ","integrate((a+b/x^(1/3))^2,x, algorithm=""maxima"")","a^{2} x + 3 \, a b x^{\frac{2}{3}} + 3 \, b^{2} x^{\frac{1}{3}}"," ",0,"a^2*x + 3*a*b*x^(2/3) + 3*b^2*x^(1/3)","A",0
2408,1,22,0,0.574524," ","integrate((a+b/x^(1/3))^2/x,x, algorithm=""maxima"")","a^{2} \log\left(x\right) - \frac{6 \, a b}{x^{\frac{1}{3}}} - \frac{3 \, b^{2}}{2 \, x^{\frac{2}{3}}}"," ",0,"a^2*log(x) - 6*a*b/x^(1/3) - 3/2*b^2/x^(2/3)","A",0
2409,1,47,0,0.474246," ","integrate((a+b/x^(1/3))^2/x^2,x, algorithm=""maxima"")","-\frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5}}{5 \, b^{3}} + \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a}{2 \, b^{3}} - \frac{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a^{2}}{b^{3}}"," ",0,"-3/5*(a + b/x^(1/3))^5/b^3 + 3/2*(a + b/x^(1/3))^4*a/b^3 - (a + b/x^(1/3))^3*a^2/b^3","A",0
2410,1,97,0,0.540824," ","integrate((a+b/x^(1/3))^2/x^3,x, algorithm=""maxima"")","-\frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{8}}{8 \, b^{6}} + \frac{15 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{7} a}{7 \, b^{6}} - \frac{5 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{6} a^{2}}{b^{6}} + \frac{6 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5} a^{3}}{b^{6}} - \frac{15 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a^{4}}{4 \, b^{6}} + \frac{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a^{5}}{b^{6}}"," ",0,"-3/8*(a + b/x^(1/3))^8/b^6 + 15/7*(a + b/x^(1/3))^7*a/b^6 - 5*(a + b/x^(1/3))^6*a^2/b^6 + 6*(a + b/x^(1/3))^5*a^3/b^6 - 15/4*(a + b/x^(1/3))^4*a^4/b^6 + (a + b/x^(1/3))^3*a^5/b^6","B",0
2411,1,149,0,0.534914," ","integrate((a+b/x^(1/3))^2/x^4,x, algorithm=""maxima"")","-\frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{11}}{11 \, b^{9}} + \frac{12 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{10} a}{5 \, b^{9}} - \frac{28 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{9} a^{2}}{3 \, b^{9}} + \frac{21 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{8} a^{3}}{b^{9}} - \frac{30 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{7} a^{4}}{b^{9}} + \frac{28 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{6} a^{5}}{b^{9}} - \frac{84 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5} a^{6}}{5 \, b^{9}} + \frac{6 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a^{7}}{b^{9}} - \frac{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a^{8}}{b^{9}}"," ",0,"-3/11*(a + b/x^(1/3))^11/b^9 + 12/5*(a + b/x^(1/3))^10*a/b^9 - 28/3*(a + b/x^(1/3))^9*a^2/b^9 + 21*(a + b/x^(1/3))^8*a^3/b^9 - 30*(a + b/x^(1/3))^7*a^4/b^9 + 28*(a + b/x^(1/3))^6*a^5/b^9 - 84/5*(a + b/x^(1/3))^5*a^6/b^9 + 6*(a + b/x^(1/3))^4*a^7/b^9 - (a + b/x^(1/3))^3*a^8/b^9","B",0
2412,1,37,0,0.695079," ","integrate((a+b/x^(1/3))^3*x^4,x, algorithm=""maxima"")","\frac{1}{1820} \, {\left(364 \, a^{3} + \frac{1170 \, a^{2} b}{x^{\frac{1}{3}}} + \frac{1260 \, a b^{2}}{x^{\frac{2}{3}}} + \frac{455 \, b^{3}}{x}\right)} x^{5}"," ",0,"1/1820*(364*a^3 + 1170*a^2*b/x^(1/3) + 1260*a*b^2/x^(2/3) + 455*b^3/x)*x^5","A",0
2413,1,37,0,0.572872," ","integrate((a+b/x^(1/3))^3*x^3,x, algorithm=""maxima"")","\frac{1}{660} \, {\left(165 \, a^{3} + \frac{540 \, a^{2} b}{x^{\frac{1}{3}}} + \frac{594 \, a b^{2}}{x^{\frac{2}{3}}} + \frac{220 \, b^{3}}{x}\right)} x^{4}"," ",0,"1/660*(165*a^3 + 540*a^2*b/x^(1/3) + 594*a*b^2/x^(2/3) + 220*b^3/x)*x^4","A",0
2414,1,37,0,0.567306," ","integrate((a+b/x^(1/3))^3*x^2,x, algorithm=""maxima"")","\frac{1}{168} \, {\left(56 \, a^{3} + \frac{189 \, a^{2} b}{x^{\frac{1}{3}}} + \frac{216 \, a b^{2}}{x^{\frac{2}{3}}} + \frac{84 \, b^{3}}{x}\right)} x^{3}"," ",0,"1/168*(56*a^3 + 189*a^2*b/x^(1/3) + 216*a*b^2/x^(2/3) + 84*b^3/x)*x^3","A",0
2415,1,37,0,0.547640," ","integrate((a+b/x^(1/3))^3*x,x, algorithm=""maxima"")","\frac{1}{20} \, {\left(10 \, a^{3} + \frac{36 \, a^{2} b}{x^{\frac{1}{3}}} + \frac{45 \, a b^{2}}{x^{\frac{2}{3}}} + \frac{20 \, b^{3}}{x}\right)} x^{2}"," ",0,"1/20*(10*a^3 + 36*a^2*b/x^(1/3) + 45*a*b^2/x^(2/3) + 20*b^3/x)*x^2","A",0
2416,1,30,0,0.490017," ","integrate((a+b/x^(1/3))^3,x, algorithm=""maxima"")","a^{3} x + b^{3} \log\left(x\right) + \frac{9}{2} \, a^{2} b x^{\frac{2}{3}} + 9 \, a b^{2} x^{\frac{1}{3}}"," ",0,"a^3*x + b^3*log(x) + 9/2*a^2*b*x^(2/3) + 9*a*b^2*x^(1/3)","A",0
2417,1,33,0,0.526089," ","integrate((a+b/x^(1/3))^3/x,x, algorithm=""maxima"")","a^{3} \log\left(x\right) - \frac{9 \, a^{2} b}{x^{\frac{1}{3}}} - \frac{9 \, a b^{2}}{2 \, x^{\frac{2}{3}}} - \frac{b^{3}}{x}"," ",0,"a^3*log(x) - 9*a^2*b/x^(1/3) - 9/2*a*b^2/x^(2/3) - b^3/x","A",0
2418,1,47,0,0.524835," ","integrate((a+b/x^(1/3))^3/x^2,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{6}}{2 \, b^{3}} + \frac{6 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5} a}{5 \, b^{3}} - \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a^{2}}{4 \, b^{3}}"," ",0,"-1/2*(a + b/x^(1/3))^6/b^3 + 6/5*(a + b/x^(1/3))^5*a/b^3 - 3/4*(a + b/x^(1/3))^4*a^2/b^3","A",0
2419,1,98,0,0.455981," ","integrate((a+b/x^(1/3))^3/x^3,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{9}}{3 \, b^{6}} + \frac{15 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{8} a}{8 \, b^{6}} - \frac{30 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{7} a^{2}}{7 \, b^{6}} + \frac{5 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{6} a^{3}}{b^{6}} - \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5} a^{4}}{b^{6}} + \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a^{5}}{4 \, b^{6}}"," ",0,"-1/3*(a + b/x^(1/3))^9/b^6 + 15/8*(a + b/x^(1/3))^8*a/b^6 - 30/7*(a + b/x^(1/3))^7*a^2/b^6 + 5*(a + b/x^(1/3))^6*a^3/b^6 - 3*(a + b/x^(1/3))^5*a^4/b^6 + 3/4*(a + b/x^(1/3))^4*a^5/b^6","B",0
2420,1,149,0,0.488756," ","integrate((a+b/x^(1/3))^3/x^4,x, algorithm=""maxima"")","-\frac{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{12}}{4 \, b^{9}} + \frac{24 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{11} a}{11 \, b^{9}} - \frac{42 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{10} a^{2}}{5 \, b^{9}} + \frac{56 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{9} a^{3}}{3 \, b^{9}} - \frac{105 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{8} a^{4}}{4 \, b^{9}} + \frac{24 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{7} a^{5}}{b^{9}} - \frac{14 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{6} a^{6}}{b^{9}} + \frac{24 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5} a^{7}}{5 \, b^{9}} - \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a^{8}}{4 \, b^{9}}"," ",0,"-1/4*(a + b/x^(1/3))^12/b^9 + 24/11*(a + b/x^(1/3))^11*a/b^9 - 42/5*(a + b/x^(1/3))^10*a^2/b^9 + 56/3*(a + b/x^(1/3))^9*a^3/b^9 - 105/4*(a + b/x^(1/3))^8*a^4/b^9 + 24*(a + b/x^(1/3))^7*a^5/b^9 - 14*(a + b/x^(1/3))^6*a^6/b^9 + 24/5*(a + b/x^(1/3))^5*a^7/b^9 - 3/4*(a + b/x^(1/3))^4*a^8/b^9","B",0
2421,1,122,0,0.493280," ","integrate(x^2/(a+b/x^(1/3)),x, algorithm=""maxima"")","-\frac{3 \, b^{9} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{a^{10}} - \frac{b^{9} \log\left(x\right)}{a^{10}} + \frac{{\left(280 \, a^{8} - \frac{315 \, a^{7} b}{x^{\frac{1}{3}}} + \frac{360 \, a^{6} b^{2}}{x^{\frac{2}{3}}} - \frac{420 \, a^{5} b^{3}}{x} + \frac{504 \, a^{4} b^{4}}{x^{\frac{4}{3}}} - \frac{630 \, a^{3} b^{5}}{x^{\frac{5}{3}}} + \frac{840 \, a^{2} b^{6}}{x^{2}} - \frac{1260 \, a b^{7}}{x^{\frac{7}{3}}} + \frac{2520 \, b^{8}}{x^{\frac{8}{3}}}\right)} x^{3}}{840 \, a^{9}}"," ",0,"-3*b^9*log(a + b/x^(1/3))/a^10 - b^9*log(x)/a^10 + 1/840*(280*a^8 - 315*a^7*b/x^(1/3) + 360*a^6*b^2/x^(2/3) - 420*a^5*b^3/x + 504*a^4*b^4/x^(4/3) - 630*a^3*b^5/x^(5/3) + 840*a^2*b^6/x^2 - 1260*a*b^7/x^(7/3) + 2520*b^8/x^(8/3))*x^3/a^9","A",0
2422,1,88,0,0.563405," ","integrate(x/(a+b/x^(1/3)),x, algorithm=""maxima"")","\frac{3 \, b^{6} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{a^{7}} + \frac{b^{6} \log\left(x\right)}{a^{7}} + \frac{{\left(10 \, a^{5} - \frac{12 \, a^{4} b}{x^{\frac{1}{3}}} + \frac{15 \, a^{3} b^{2}}{x^{\frac{2}{3}}} - \frac{20 \, a^{2} b^{3}}{x} + \frac{30 \, a b^{4}}{x^{\frac{4}{3}}} - \frac{60 \, b^{5}}{x^{\frac{5}{3}}}\right)} x^{2}}{20 \, a^{6}}"," ",0,"3*b^6*log(a + b/x^(1/3))/a^7 + b^6*log(x)/a^7 + 1/20*(10*a^5 - 12*a^4*b/x^(1/3) + 15*a^3*b^2/x^(2/3) - 20*a^2*b^3/x + 30*a*b^4/x^(4/3) - 60*b^5/x^(5/3))*x^2/a^6","A",0
2423,1,54,0,0.452106," ","integrate(1/(a+b/x^(1/3)),x, algorithm=""maxima"")","-\frac{3 \, b^{3} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{a^{4}} - \frac{b^{3} \log\left(x\right)}{a^{4}} + \frac{{\left(2 \, a^{2} - \frac{3 \, a b}{x^{\frac{1}{3}}} + \frac{6 \, b^{2}}{x^{\frac{2}{3}}}\right)} x}{2 \, a^{3}}"," ",0,"-3*b^3*log(a + b/x^(1/3))/a^4 - b^3*log(x)/a^4 + 1/2*(2*a^2 - 3*a*b/x^(1/3) + 6*b^2/x^(2/3))*x/a^3","A",0
2424,1,20,0,0.496249," ","integrate(1/(a+b/x^(1/3))/x,x, algorithm=""maxima"")","\frac{3 \, \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{a} + \frac{\log\left(x\right)}{a}"," ",0,"3*log(a + b/x^(1/3))/a + log(x)/a","A",0
2425,1,44,0,0.565613," ","integrate(1/(a+b/x^(1/3))/x^2,x, algorithm=""maxima"")","-\frac{3 \, a^{2} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{b^{3}} - \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2}}{2 \, b^{3}} + \frac{6 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} a}{b^{3}}"," ",0,"-3*a^2*log(a + b/x^(1/3))/b^3 - 3/2*(a + b/x^(1/3))^2/b^3 + 6*(a + b/x^(1/3))*a/b^3","A",0
2426,1,95,0,0.562483," ","integrate(1/(a+b/x^(1/3))/x^3,x, algorithm=""maxima"")","\frac{3 \, a^{5} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{b^{6}} - \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5}}{5 \, b^{6}} + \frac{15 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a}{4 \, b^{6}} - \frac{10 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a^{2}}{b^{6}} + \frac{15 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} a^{3}}{b^{6}} - \frac{15 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} a^{4}}{b^{6}}"," ",0,"3*a^5*log(a + b/x^(1/3))/b^6 - 3/5*(a + b/x^(1/3))^5/b^6 + 15/4*(a + b/x^(1/3))^4*a/b^6 - 10*(a + b/x^(1/3))^3*a^2/b^6 + 15*(a + b/x^(1/3))^2*a^3/b^6 - 15*(a + b/x^(1/3))*a^4/b^6","A",0
2427,1,146,0,0.637679," ","integrate(1/(a+b/x^(1/3))/x^4,x, algorithm=""maxima"")","-\frac{3 \, a^{8} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{b^{9}} - \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{8}}{8 \, b^{9}} + \frac{24 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{7} a}{7 \, b^{9}} - \frac{14 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{6} a^{2}}{b^{9}} + \frac{168 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5} a^{3}}{5 \, b^{9}} - \frac{105 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a^{4}}{2 \, b^{9}} + \frac{56 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a^{5}}{b^{9}} - \frac{42 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} a^{6}}{b^{9}} + \frac{24 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} a^{7}}{b^{9}}"," ",0,"-3*a^8*log(a + b/x^(1/3))/b^9 - 3/8*(a + b/x^(1/3))^8/b^9 + 24/7*(a + b/x^(1/3))^7*a/b^9 - 14*(a + b/x^(1/3))^6*a^2/b^9 + 168/5*(a + b/x^(1/3))^5*a^3/b^9 - 105/2*(a + b/x^(1/3))^4*a^4/b^9 + 56*(a + b/x^(1/3))^3*a^5/b^9 - 42*(a + b/x^(1/3))^2*a^6/b^9 + 24*(a + b/x^(1/3))*a^7/b^9","A",0
2428,1,197,0,0.538415," ","integrate(1/(a+b/x^(1/3))/x^5,x, algorithm=""maxima"")","\frac{3 \, a^{11} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{b^{12}} - \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{11}}{11 \, b^{12}} + \frac{33 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{10} a}{10 \, b^{12}} - \frac{55 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{9} a^{2}}{3 \, b^{12}} + \frac{495 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{8} a^{3}}{8 \, b^{12}} - \frac{990 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{7} a^{4}}{7 \, b^{12}} + \frac{231 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{6} a^{5}}{b^{12}} - \frac{1386 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5} a^{6}}{5 \, b^{12}} + \frac{495 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a^{7}}{2 \, b^{12}} - \frac{165 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a^{8}}{b^{12}} + \frac{165 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} a^{9}}{2 \, b^{12}} - \frac{33 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} a^{10}}{b^{12}}"," ",0,"3*a^11*log(a + b/x^(1/3))/b^12 - 3/11*(a + b/x^(1/3))^11/b^12 + 33/10*(a + b/x^(1/3))^10*a/b^12 - 55/3*(a + b/x^(1/3))^9*a^2/b^12 + 495/8*(a + b/x^(1/3))^8*a^3/b^12 - 990/7*(a + b/x^(1/3))^7*a^4/b^12 + 231*(a + b/x^(1/3))^6*a^5/b^12 - 1386/5*(a + b/x^(1/3))^5*a^6/b^12 + 495/2*(a + b/x^(1/3))^4*a^7/b^12 - 165*(a + b/x^(1/3))^3*a^8/b^12 + 165/2*(a + b/x^(1/3))^2*a^9/b^12 - 33*(a + b/x^(1/3))*a^10/b^12","A",0
2429,1,145,0,0.475222," ","integrate(x^2/(a+b/x^(1/3))^2,x, algorithm=""maxima"")","\frac{28 \, a^{9} - \frac{35 \, a^{8} b}{x^{\frac{1}{3}}} + \frac{45 \, a^{7} b^{2}}{x^{\frac{2}{3}}} - \frac{60 \, a^{6} b^{3}}{x} + \frac{84 \, a^{5} b^{4}}{x^{\frac{4}{3}}} - \frac{126 \, a^{4} b^{5}}{x^{\frac{5}{3}}} + \frac{210 \, a^{3} b^{6}}{x^{2}} - \frac{420 \, a^{2} b^{7}}{x^{\frac{7}{3}}} + \frac{1260 \, a b^{8}}{x^{\frac{8}{3}}} + \frac{2520 \, b^{9}}{x^{3}}}{84 \, {\left(\frac{a^{11}}{x^{3}} + \frac{a^{10} b}{x^{\frac{10}{3}}}\right)}} - \frac{30 \, b^{9} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{a^{11}} - \frac{10 \, b^{9} \log\left(x\right)}{a^{11}}"," ",0,"1/84*(28*a^9 - 35*a^8*b/x^(1/3) + 45*a^7*b^2/x^(2/3) - 60*a^6*b^3/x + 84*a^5*b^4/x^(4/3) - 126*a^4*b^5/x^(5/3) + 210*a^3*b^6/x^2 - 420*a^2*b^7/x^(7/3) + 1260*a*b^8/x^(8/3) + 2520*b^9/x^3)/(a^11/x^3 + a^10*b/x^(10/3)) - 30*b^9*log(a + b/x^(1/3))/a^11 - 10*b^9*log(x)/a^11","A",0
2430,1,112,0,0.554417," ","integrate(x/(a+b/x^(1/3))^2,x, algorithm=""maxima"")","\frac{10 \, a^{6} - \frac{14 \, a^{5} b}{x^{\frac{1}{3}}} + \frac{21 \, a^{4} b^{2}}{x^{\frac{2}{3}}} - \frac{35 \, a^{3} b^{3}}{x} + \frac{70 \, a^{2} b^{4}}{x^{\frac{4}{3}}} - \frac{210 \, a b^{5}}{x^{\frac{5}{3}}} - \frac{420 \, b^{6}}{x^{2}}}{20 \, {\left(\frac{a^{8}}{x^{2}} + \frac{a^{7} b}{x^{\frac{7}{3}}}\right)}} + \frac{21 \, b^{6} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{a^{8}} + \frac{7 \, b^{6} \log\left(x\right)}{a^{8}}"," ",0,"1/20*(10*a^6 - 14*a^5*b/x^(1/3) + 21*a^4*b^2/x^(2/3) - 35*a^3*b^3/x + 70*a^2*b^4/x^(4/3) - 210*a*b^5/x^(5/3) - 420*b^6/x^2)/(a^8/x^2 + a^7*b/x^(7/3)) + 21*b^6*log(a + b/x^(1/3))/a^8 + 7*b^6*log(x)/a^8","A",0
2431,1,76,0,0.462940," ","integrate(1/(a+b/x^(1/3))^2,x, algorithm=""maxima"")","\frac{a^{3} - \frac{2 \, a^{2} b}{x^{\frac{1}{3}}} + \frac{6 \, a b^{2}}{x^{\frac{2}{3}}} + \frac{12 \, b^{3}}{x}}{\frac{a^{5}}{x} + \frac{a^{4} b}{x^{\frac{4}{3}}}} - \frac{12 \, b^{3} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{a^{5}} - \frac{4 \, b^{3} \log\left(x\right)}{a^{5}}"," ",0,"(a^3 - 2*a^2*b/x^(1/3) + 6*a*b^2/x^(2/3) + 12*b^3/x)/(a^5/x + a^4*b/x^(4/3)) - 12*b^3*log(a + b/x^(1/3))/a^5 - 4*b^3*log(x)/a^5","A",0
2432,1,34,0,0.582825," ","integrate(1/(a+b/x^(1/3))^2/x,x, algorithm=""maxima"")","-\frac{3}{a^{2} + \frac{a b}{x^{\frac{1}{3}}}} + \frac{3 \, \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{a^{2}} + \frac{\log\left(x\right)}{a^{2}}"," ",0,"-3/(a^2 + a*b/x^(1/3)) + 3*log(a + b/x^(1/3))/a^2 + log(x)/a^2","A",0
2433,1,44,0,0.482264," ","integrate(1/(a+b/x^(1/3))^2/x^2,x, algorithm=""maxima"")","\frac{6 \, a \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{b^{3}} - \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}}{b^{3}} + \frac{3 \, a^{2}}{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} b^{3}}"," ",0,"6*a*log(a + b/x^(1/3))/b^3 - 3*(a + b/x^(1/3))/b^3 + 3*a^2/((a + b/x^(1/3))*b^3)","A",0
2434,1,95,0,0.646412," ","integrate(1/(a+b/x^(1/3))^2/x^3,x, algorithm=""maxima"")","-\frac{15 \, a^{4} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{b^{6}} - \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4}}{4 \, b^{6}} + \frac{5 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a}{b^{6}} - \frac{15 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} a^{2}}{b^{6}} + \frac{30 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} a^{3}}{b^{6}} - \frac{3 \, a^{5}}{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} b^{6}}"," ",0,"-15*a^4*log(a + b/x^(1/3))/b^6 - 3/4*(a + b/x^(1/3))^4/b^6 + 5*(a + b/x^(1/3))^3*a/b^6 - 15*(a + b/x^(1/3))^2*a^2/b^6 + 30*(a + b/x^(1/3))*a^3/b^6 - 3*a^5/((a + b/x^(1/3))*b^6)","A",0
2435,1,146,0,0.502442," ","integrate(1/(a+b/x^(1/3))^2/x^4,x, algorithm=""maxima"")","\frac{24 \, a^{7} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{b^{9}} - \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{7}}{7 \, b^{9}} + \frac{4 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{6} a}{b^{9}} - \frac{84 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5} a^{2}}{5 \, b^{9}} + \frac{42 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a^{3}}{b^{9}} - \frac{70 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a^{4}}{b^{9}} + \frac{84 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} a^{5}}{b^{9}} - \frac{84 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} a^{6}}{b^{9}} + \frac{3 \, a^{8}}{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} b^{9}}"," ",0,"24*a^7*log(a + b/x^(1/3))/b^9 - 3/7*(a + b/x^(1/3))^7/b^9 + 4*(a + b/x^(1/3))^6*a/b^9 - 84/5*(a + b/x^(1/3))^5*a^2/b^9 + 42*(a + b/x^(1/3))^4*a^3/b^9 - 70*(a + b/x^(1/3))^3*a^4/b^9 + 84*(a + b/x^(1/3))^2*a^5/b^9 - 84*(a + b/x^(1/3))*a^6/b^9 + 3*a^8/((a + b/x^(1/3))*b^9)","A",0
2436,1,197,0,0.489129," ","integrate(1/(a+b/x^(1/3))^2/x^5,x, algorithm=""maxima"")","-\frac{33 \, a^{10} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{b^{12}} - \frac{3 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{10}}{10 \, b^{12}} + \frac{11 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{9} a}{3 \, b^{12}} - \frac{165 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{8} a^{2}}{8 \, b^{12}} + \frac{495 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{7} a^{3}}{7 \, b^{12}} - \frac{165 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{6} a^{4}}{b^{12}} + \frac{1386 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5} a^{5}}{5 \, b^{12}} - \frac{693 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a^{6}}{2 \, b^{12}} + \frac{330 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a^{7}}{b^{12}} - \frac{495 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} a^{8}}{2 \, b^{12}} + \frac{165 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} a^{9}}{b^{12}} - \frac{3 \, a^{11}}{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} b^{12}}"," ",0,"-33*a^10*log(a + b/x^(1/3))/b^12 - 3/10*(a + b/x^(1/3))^10/b^12 + 11/3*(a + b/x^(1/3))^9*a/b^12 - 165/8*(a + b/x^(1/3))^8*a^2/b^12 + 495/7*(a + b/x^(1/3))^7*a^3/b^12 - 165*(a + b/x^(1/3))^6*a^4/b^12 + 1386/5*(a + b/x^(1/3))^5*a^5/b^12 - 693/2*(a + b/x^(1/3))^4*a^6/b^12 + 330*(a + b/x^(1/3))^3*a^7/b^12 - 495/2*(a + b/x^(1/3))^2*a^8/b^12 + 165*(a + b/x^(1/3))*a^9/b^12 - 3*a^11/((a + b/x^(1/3))*b^12)","A",0
2437,1,167,0,0.566130," ","integrate(x^2/(a+b/x^(1/3))^3,x, algorithm=""maxima"")","\frac{56 \, a^{10} - \frac{77 \, a^{9} b}{x^{\frac{1}{3}}} + \frac{110 \, a^{8} b^{2}}{x^{\frac{2}{3}}} - \frac{165 \, a^{7} b^{3}}{x} + \frac{264 \, a^{6} b^{4}}{x^{\frac{4}{3}}} - \frac{462 \, a^{5} b^{5}}{x^{\frac{5}{3}}} + \frac{924 \, a^{4} b^{6}}{x^{2}} - \frac{2310 \, a^{3} b^{7}}{x^{\frac{7}{3}}} + \frac{9240 \, a^{2} b^{8}}{x^{\frac{8}{3}}} + \frac{41580 \, a b^{9}}{x^{3}} + \frac{27720 \, b^{10}}{x^{\frac{10}{3}}}}{168 \, {\left(\frac{a^{13}}{x^{3}} + \frac{2 \, a^{12} b}{x^{\frac{10}{3}}} + \frac{a^{11} b^{2}}{x^{\frac{11}{3}}}\right)}} - \frac{165 \, b^{9} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{a^{12}} - \frac{55 \, b^{9} \log\left(x\right)}{a^{12}}"," ",0,"1/168*(56*a^10 - 77*a^9*b/x^(1/3) + 110*a^8*b^2/x^(2/3) - 165*a^7*b^3/x + 264*a^6*b^4/x^(4/3) - 462*a^5*b^5/x^(5/3) + 924*a^4*b^6/x^2 - 2310*a^3*b^7/x^(7/3) + 9240*a^2*b^8/x^(8/3) + 41580*a*b^9/x^3 + 27720*b^10/x^(10/3))/(a^13/x^3 + 2*a^12*b/x^(10/3) + a^11*b^2/x^(11/3)) - 165*b^9*log(a + b/x^(1/3))/a^12 - 55*b^9*log(x)/a^12","A",0
2438,1,134,0,0.496689," ","integrate(x/(a+b/x^(1/3))^3,x, algorithm=""maxima"")","\frac{5 \, a^{7} - \frac{8 \, a^{6} b}{x^{\frac{1}{3}}} + \frac{14 \, a^{5} b^{2}}{x^{\frac{2}{3}}} - \frac{28 \, a^{4} b^{3}}{x} + \frac{70 \, a^{3} b^{4}}{x^{\frac{4}{3}}} - \frac{280 \, a^{2} b^{5}}{x^{\frac{5}{3}}} - \frac{1260 \, a b^{6}}{x^{2}} - \frac{840 \, b^{7}}{x^{\frac{7}{3}}}}{10 \, {\left(\frac{a^{10}}{x^{2}} + \frac{2 \, a^{9} b}{x^{\frac{7}{3}}} + \frac{a^{8} b^{2}}{x^{\frac{8}{3}}}\right)}} + \frac{84 \, b^{6} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{a^{9}} + \frac{28 \, b^{6} \log\left(x\right)}{a^{9}}"," ",0,"1/10*(5*a^7 - 8*a^6*b/x^(1/3) + 14*a^5*b^2/x^(2/3) - 28*a^4*b^3/x + 70*a^3*b^4/x^(4/3) - 280*a^2*b^5/x^(5/3) - 1260*a*b^6/x^2 - 840*b^7/x^(7/3))/(a^10/x^2 + 2*a^9*b/x^(7/3) + a^8*b^2/x^(8/3)) + 84*b^6*log(a + b/x^(1/3))/a^9 + 28*b^6*log(x)/a^9","A",0
2439,1,101,0,0.566550," ","integrate(1/(a+b/x^(1/3))^3,x, algorithm=""maxima"")","\frac{2 \, a^{4} - \frac{5 \, a^{3} b}{x^{\frac{1}{3}}} + \frac{20 \, a^{2} b^{2}}{x^{\frac{2}{3}}} + \frac{90 \, a b^{3}}{x} + \frac{60 \, b^{4}}{x^{\frac{4}{3}}}}{2 \, {\left(\frac{a^{7}}{x} + \frac{2 \, a^{6} b}{x^{\frac{4}{3}}} + \frac{a^{5} b^{2}}{x^{\frac{5}{3}}}\right)}} - \frac{30 \, b^{3} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{a^{6}} - \frac{10 \, b^{3} \log\left(x\right)}{a^{6}}"," ",0,"1/2*(2*a^4 - 5*a^3*b/x^(1/3) + 20*a^2*b^2/x^(2/3) + 90*a*b^3/x + 60*b^4/x^(4/3))/(a^7/x + 2*a^6*b/x^(4/3) + a^5*b^2/x^(5/3)) - 30*b^3*log(a + b/x^(1/3))/a^6 - 10*b^3*log(x)/a^6","A",0
2440,1,57,0,0.478997," ","integrate(1/(a+b/x^(1/3))^3/x,x, algorithm=""maxima"")","-\frac{3 \, {\left(3 \, a + \frac{2 \, b}{x^{\frac{1}{3}}}\right)}}{2 \, {\left(a^{4} + \frac{2 \, a^{3} b}{x^{\frac{1}{3}}} + \frac{a^{2} b^{2}}{x^{\frac{2}{3}}}\right)}} + \frac{3 \, \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{a^{3}} + \frac{\log\left(x\right)}{a^{3}}"," ",0,"-3/2*(3*a + 2*b/x^(1/3))/(a^4 + 2*a^3*b/x^(1/3) + a^2*b^2/x^(2/3)) + 3*log(a + b/x^(1/3))/a^3 + log(x)/a^3","A",0
2441,1,46,0,0.491009," ","integrate(1/(a+b/x^(1/3))^3/x^2,x, algorithm=""maxima"")","-\frac{3 \, \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{b^{3}} - \frac{6 \, a}{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} b^{3}} + \frac{3 \, a^{2}}{2 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} b^{3}}"," ",0,"-3*log(a + b/x^(1/3))/b^3 - 6*a/((a + b/x^(1/3))*b^3) + 3/2*a^2/((a + b/x^(1/3))^2*b^3)","A",0
2442,1,95,0,0.512539," ","integrate(1/(a+b/x^(1/3))^3/x^3,x, algorithm=""maxima"")","\frac{30 \, a^{3} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{b^{6}} - \frac{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3}}{b^{6}} + \frac{15 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} a}{2 \, b^{6}} - \frac{30 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} a^{2}}{b^{6}} + \frac{15 \, a^{4}}{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} b^{6}} - \frac{3 \, a^{5}}{2 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} b^{6}}"," ",0,"30*a^3*log(a + b/x^(1/3))/b^6 - (a + b/x^(1/3))^3/b^6 + 15/2*(a + b/x^(1/3))^2*a/b^6 - 30*(a + b/x^(1/3))*a^2/b^6 + 15*a^4/((a + b/x^(1/3))*b^6) - 3/2*a^5/((a + b/x^(1/3))^2*b^6)","A",0
2443,1,146,0,0.492841," ","integrate(1/(a+b/x^(1/3))^3/x^4,x, algorithm=""maxima"")","-\frac{84 \, a^{6} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{b^{9}} - \frac{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{6}}{2 \, b^{9}} + \frac{24 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5} a}{5 \, b^{9}} - \frac{21 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a^{2}}{b^{9}} + \frac{56 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a^{3}}{b^{9}} - \frac{105 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} a^{4}}{b^{9}} + \frac{168 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} a^{5}}{b^{9}} - \frac{24 \, a^{7}}{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} b^{9}} + \frac{3 \, a^{8}}{2 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} b^{9}}"," ",0,"-84*a^6*log(a + b/x^(1/3))/b^9 - 1/2*(a + b/x^(1/3))^6/b^9 + 24/5*(a + b/x^(1/3))^5*a/b^9 - 21*(a + b/x^(1/3))^4*a^2/b^9 + 56*(a + b/x^(1/3))^3*a^3/b^9 - 105*(a + b/x^(1/3))^2*a^4/b^9 + 168*(a + b/x^(1/3))*a^5/b^9 - 24*a^7/((a + b/x^(1/3))*b^9) + 3/2*a^8/((a + b/x^(1/3))^2*b^9)","A",0
2444,1,197,0,0.493410," ","integrate(1/(a+b/x^(1/3))^3/x^5,x, algorithm=""maxima"")","\frac{165 \, a^{9} \log\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}{b^{12}} - \frac{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{9}}{3 \, b^{12}} + \frac{33 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{8} a}{8 \, b^{12}} - \frac{165 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{7} a^{2}}{7 \, b^{12}} + \frac{165 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{6} a^{3}}{2 \, b^{12}} - \frac{198 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{5} a^{4}}{b^{12}} + \frac{693 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{4} a^{5}}{2 \, b^{12}} - \frac{462 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{3} a^{6}}{b^{12}} + \frac{495 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} a^{7}}{b^{12}} - \frac{495 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} a^{8}}{b^{12}} + \frac{33 \, a^{10}}{{\left(a + \frac{b}{x^{\frac{1}{3}}}\right)} b^{12}} - \frac{3 \, a^{11}}{2 \, {\left(a + \frac{b}{x^{\frac{1}{3}}}\right)}^{2} b^{12}}"," ",0,"165*a^9*log(a + b/x^(1/3))/b^12 - 1/3*(a + b/x^(1/3))^9/b^12 + 33/8*(a + b/x^(1/3))^8*a/b^12 - 165/7*(a + b/x^(1/3))^7*a^2/b^12 + 165/2*(a + b/x^(1/3))^6*a^3/b^12 - 198*(a + b/x^(1/3))^5*a^4/b^12 + 693/2*(a + b/x^(1/3))^4*a^5/b^12 - 462*(a + b/x^(1/3))^3*a^6/b^12 + 495*(a + b/x^(1/3))^2*a^7/b^12 - 495*(a + b/x^(1/3))*a^8/b^12 + 33*a^10/((a + b/x^(1/3))*b^12) - 3/2*a^11/((a + b/x^(1/3))^2*b^12)","A",0
2445,1,40,0,0.533479," ","integrate(1/(1+b/x^(1/3)),x, algorithm=""maxima"")","-b^{3} \log\left(x\right) - 3 \, b^{3} \log\left(\frac{b}{x^{\frac{1}{3}}} + 1\right) + \frac{1}{2} \, {\left(\frac{6 \, b^{2}}{x^{\frac{2}{3}}} - \frac{3 \, b}{x^{\frac{1}{3}}} + 2\right)} x"," ",0,"-b^3*log(x) - 3*b^3*log(b/x^(1/3) + 1) + 1/2*(6*b^2/x^(2/3) - 3*b/x^(1/3) + 2)*x","A",0
2446,1,9,0,0.559000," ","integrate(x^(2/3)*(1+x^(5/3))^(2/3),x, algorithm=""maxima"")","\frac{9}{25} \, {\left(x^{\frac{5}{3}} + 1\right)}^{\frac{5}{3}}"," ",0,"9/25*(x^(5/3) + 1)^(5/3)","A",0
2447,1,13,0,0.471238," ","integrate(x^(7/3)*(a^(10/3)-x^(10/3))^(19/7),x, algorithm=""maxima"")","-\frac{21}{260} \, {\left(a^{\frac{10}{3}} - x^{\frac{10}{3}}\right)}^{\frac{26}{7}}"," ",0,"-21/260*(a^(10/3) - x^(10/3))^(26/7)","A",0
2448,1,42,0,0.504452," ","integrate(1/(1+x^(1/5)),x, algorithm=""maxima"")","\frac{5}{4} \, {\left(x^{\frac{1}{5}} + 1\right)}^{4} - \frac{20}{3} \, {\left(x^{\frac{1}{5}} + 1\right)}^{3} + 15 \, {\left(x^{\frac{1}{5}} + 1\right)}^{2} - 20 \, x^{\frac{1}{5}} + 5 \, \log\left(x^{\frac{1}{5}} + 1\right) - 20"," ",0,"5/4*(x^(1/5) + 1)^4 - 20/3*(x^(1/5) + 1)^3 + 15*(x^(1/5) + 1)^2 - 20*x^(1/5) + 5*log(x^(1/5) + 1) - 20","A",0
2449,1,9,0,0.518605," ","integrate(1/x^(1/5)/(1+x^(4/5))^(1/2),x, algorithm=""maxima"")","\frac{5}{2} \, \sqrt{x^{\frac{4}{5}} + 1}"," ",0,"5/2*sqrt(x^(4/5) + 1)","A",0
2450,1,14,0,0.561631," ","integrate((a+b/x^(3/5))^(2/3),x, algorithm=""maxima"")","\frac{{\left(a + \frac{b}{x^{\frac{3}{5}}}\right)}^{\frac{5}{3}} x}{a}"," ",0,"(a + b/x^(3/5))^(5/3)*x/a","A",0
2451,1,19,0,0.742418," ","integrate(x^3*(a+b*x^n),x, algorithm=""maxima"")","\frac{1}{4} \, a x^{4} + \frac{b x^{n + 4}}{n + 4}"," ",0,"1/4*a*x^4 + b*x^(n + 4)/(n + 4)","A",0
2452,1,19,0,0.475533," ","integrate(x^2*(a+b*x^n),x, algorithm=""maxima"")","\frac{1}{3} \, a x^{3} + \frac{b x^{n + 3}}{n + 3}"," ",0,"1/3*a*x^3 + b*x^(n + 3)/(n + 3)","A",0
2453,1,19,0,0.485116," ","integrate(x*(a+b*x^n),x, algorithm=""maxima"")","\frac{1}{2} \, a x^{2} + \frac{b x^{n + 2}}{n + 2}"," ",0,"1/2*a*x^2 + b*x^(n + 2)/(n + 2)","A",0
2454,1,16,0,0.522757," ","integrate(a+b*x^n,x, algorithm=""maxima"")","a x + \frac{b x^{n + 1}}{n + 1}"," ",0,"a*x + b*x^(n + 1)/(n + 1)","A",0
2455,1,18,0,0.498012," ","integrate((a+b*x^n)/x,x, algorithm=""maxima"")","\frac{b x^{n}}{n} + \frac{a \log\left(x^{n}\right)}{n}"," ",0,"b*x^n/n + a*log(x^n)/n","A",0
2456,-2,0,0,0.000000," ","integrate((a+b*x^n)/x^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(n-2>0)', see `assume?` for more details)Is n-2 equal to -1?","F(-2)",0
2457,-2,0,0,0.000000," ","integrate((a+b*x^n)/x^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(n-3>0)', see `assume?` for more details)Is n-3 equal to -1?","F(-2)",0
2458,1,40,0,0.612892," ","integrate(x^3*(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{1}{4} \, a^{2} x^{4} + \frac{b^{2} x^{2 \, n + 4}}{2 \, {\left(n + 2\right)}} + \frac{2 \, a b x^{n + 4}}{n + 4}"," ",0,"1/4*a^2*x^4 + 1/2*b^2*x^(2*n + 4)/(n + 2) + 2*a*b*x^(n + 4)/(n + 4)","A",0
2459,1,41,0,0.634698," ","integrate(x^2*(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{1}{3} \, a^{2} x^{3} + \frac{b^{2} x^{2 \, n + 3}}{2 \, n + 3} + \frac{2 \, a b x^{n + 3}}{n + 3}"," ",0,"1/3*a^2*x^3 + b^2*x^(2*n + 3)/(2*n + 3) + 2*a*b*x^(n + 3)/(n + 3)","A",0
2460,1,40,0,0.459819," ","integrate(x*(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} x^{2} + \frac{b^{2} x^{2 \, n + 2}}{2 \, {\left(n + 1\right)}} + \frac{2 \, a b x^{n + 2}}{n + 2}"," ",0,"1/2*a^2*x^2 + 1/2*b^2*x^(2*n + 2)/(n + 1) + 2*a*b*x^(n + 2)/(n + 2)","A",0
2461,1,38,0,0.494628," ","integrate((a+b*x^n)^2,x, algorithm=""maxima"")","a^{2} x + \frac{b^{2} x^{2 \, n + 1}}{2 \, n + 1} + \frac{2 \, a b x^{n + 1}}{n + 1}"," ",0,"a^2*x + b^2*x^(2*n + 1)/(2*n + 1) + 2*a*b*x^(n + 1)/(n + 1)","A",0
2462,1,34,0,0.514145," ","integrate((a+b*x^n)^2/x,x, algorithm=""maxima"")","\frac{a^{2} \log\left(x^{n}\right)}{n} + \frac{b^{2} x^{2 \, n} + 4 \, a b x^{n}}{2 \, n}"," ",0,"a^2*log(x^n)/n + 1/2*(b^2*x^(2*n) + 4*a*b*x^n)/n","A",0
2463,-2,0,0,0.000000," ","integrate((a+b*x^n)^2/x^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(n-2>0)', see `assume?` for more details)Is n-2 equal to -1?","F(-2)",0
2464,-2,0,0,0.000000," ","integrate((a+b*x^n)^2/x^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(n-3>0)', see `assume?` for more details)Is n-3 equal to -1?","F(-2)",0
2465,1,61,0,0.444130," ","integrate(x^3*(a+b*x^n)^3,x, algorithm=""maxima"")","\frac{1}{4} \, a^{3} x^{4} + \frac{b^{3} x^{3 \, n + 4}}{3 \, n + 4} + \frac{3 \, a b^{2} x^{2 \, n + 4}}{2 \, {\left(n + 2\right)}} + \frac{3 \, a^{2} b x^{n + 4}}{n + 4}"," ",0,"1/4*a^3*x^4 + b^3*x^(3*n + 4)/(3*n + 4) + 3/2*a*b^2*x^(2*n + 4)/(n + 2) + 3*a^2*b*x^(n + 4)/(n + 4)","A",0
2466,1,62,0,0.528649," ","integrate(x^2*(a+b*x^n)^3,x, algorithm=""maxima"")","\frac{1}{3} \, a^{3} x^{3} + \frac{b^{3} x^{3 \, n + 3}}{3 \, {\left(n + 1\right)}} + \frac{3 \, a b^{2} x^{2 \, n + 3}}{2 \, n + 3} + \frac{3 \, a^{2} b x^{n + 3}}{n + 3}"," ",0,"1/3*a^3*x^3 + 1/3*b^3*x^(3*n + 3)/(n + 1) + 3*a*b^2*x^(2*n + 3)/(2*n + 3) + 3*a^2*b*x^(n + 3)/(n + 3)","A",0
2467,1,61,0,0.482328," ","integrate(x*(a+b*x^n)^3,x, algorithm=""maxima"")","\frac{1}{2} \, a^{3} x^{2} + \frac{b^{3} x^{3 \, n + 2}}{3 \, n + 2} + \frac{3 \, a b^{2} x^{2 \, n + 2}}{2 \, {\left(n + 1\right)}} + \frac{3 \, a^{2} b x^{n + 2}}{n + 2}"," ",0,"1/2*a^3*x^2 + b^3*x^(3*n + 2)/(3*n + 2) + 3/2*a*b^2*x^(2*n + 2)/(n + 1) + 3*a^2*b*x^(n + 2)/(n + 2)","A",0
2468,1,60,0,0.461338," ","integrate((a+b*x^n)^3,x, algorithm=""maxima"")","a^{3} x + \frac{b^{3} x^{3 \, n + 1}}{3 \, n + 1} + \frac{3 \, a b^{2} x^{2 \, n + 1}}{2 \, n + 1} + \frac{3 \, a^{2} b x^{n + 1}}{n + 1}"," ",0,"a^3*x + b^3*x^(3*n + 1)/(3*n + 1) + 3*a*b^2*x^(2*n + 1)/(2*n + 1) + 3*a^2*b*x^(n + 1)/(n + 1)","A",0
2469,1,48,0,0.453480," ","integrate((a+b*x^n)^3/x,x, algorithm=""maxima"")","\frac{a^{3} \log\left(x^{n}\right)}{n} + \frac{2 \, b^{3} x^{3 \, n} + 9 \, a b^{2} x^{2 \, n} + 18 \, a^{2} b x^{n}}{6 \, n}"," ",0,"a^3*log(x^n)/n + 1/6*(2*b^3*x^(3*n) + 9*a*b^2*x^(2*n) + 18*a^2*b*x^n)/n","A",0
2470,-2,0,0,0.000000," ","integrate((a+b*x^n)^3/x^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(n-2>0)', see `assume?` for more details)Is n-2 equal to -1?","F(-2)",0
2471,-2,0,0,0.000000," ","integrate((a+b*x^n)^3/x^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(n-3>0)', see `assume?` for more details)Is n-3 equal to -1?","F(-2)",0
2472,0,0,0,0.000000," ","integrate(x/(a+b*x^n),x, algorithm=""maxima"")","\int \frac{x}{b x^{n} + a}\,{d x}"," ",0,"integrate(x/(b*x^n + a), x)","F",0
2473,0,0,0,0.000000," ","integrate(1/(a+b*x^n),x, algorithm=""maxima"")","\int \frac{1}{b x^{n} + a}\,{d x}"," ",0,"integrate(1/(b*x^n + a), x)","F",0
2474,1,28,0,0.507358," ","integrate(1/x/(a+b*x^n),x, algorithm=""maxima"")","-\frac{\log\left(b x^{n} + a\right)}{a n} + \frac{\log\left(x^{n}\right)}{a n}"," ",0,"-log(b*x^n + a)/(a*n) + log(x^n)/(a*n)","A",0
2475,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^n),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)*x^2), x)","F",0
2476,0,0,0,0.000000," ","integrate(1/x^3/(a+b*x^n),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)*x^3), x)","F",0
2477,0,0,0,0.000000," ","integrate(x/(a+b*x^n)^2,x, algorithm=""maxima"")","{\left(n - 2\right)} \int \frac{x}{a b n x^{n} + a^{2} n}\,{d x} + \frac{x^{2}}{a b n x^{n} + a^{2} n}"," ",0,"(n - 2)*integrate(x/(a*b*n*x^n + a^2*n), x) + x^2/(a*b*n*x^n + a^2*n)","F",0
2478,0,0,0,0.000000," ","integrate(1/(a+b*x^n)^2,x, algorithm=""maxima"")","{\left(n - 1\right)} \int \frac{1}{a b n x^{n} + a^{2} n}\,{d x} + \frac{x}{a b n x^{n} + a^{2} n}"," ",0,"(n - 1)*integrate(1/(a*b*n*x^n + a^2*n), x) + x/(a*b*n*x^n + a^2*n)","F",0
2479,1,43,0,0.584332," ","integrate(1/x/(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{1}{a b n x^{n} + a^{2} n} - \frac{\log\left(b x^{n} + a\right)}{a^{2} n} + \frac{\log\left(x^{n}\right)}{a^{2} n}"," ",0,"1/(a*b*n*x^n + a^2*n) - log(b*x^n + a)/(a^2*n) + log(x^n)/(a^2*n)","A",0
2480,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^n)^2,x, algorithm=""maxima"")","{\left(n + 1\right)} \int \frac{1}{a b n x^{2} x^{n} + a^{2} n x^{2}}\,{d x} + \frac{1}{a b n x x^{n} + a^{2} n x}"," ",0,"(n + 1)*integrate(1/(a*b*n*x^2*x^n + a^2*n*x^2), x) + 1/(a*b*n*x*x^n + a^2*n*x)","F",0
2481,0,0,0,0.000000," ","integrate(1/x^3/(a+b*x^n)^2,x, algorithm=""maxima"")","{\left(n + 2\right)} \int \frac{1}{a b n x^{3} x^{n} + a^{2} n x^{3}}\,{d x} + \frac{1}{a b n x^{2} x^{n} + a^{2} n x^{2}}"," ",0,"(n + 2)*integrate(1/(a*b*n*x^3*x^n + a^2*n*x^3), x) + 1/(a*b*n*x^2*x^n + a^2*n*x^2)","F",0
2482,0,0,0,0.000000," ","integrate(x/(a+b*x^n)^3,x, algorithm=""maxima"")","{\left(n^{2} - 3 \, n + 2\right)} \int \frac{x}{a^{2} b n^{2} x^{n} + a^{3} n^{2}}\,{d x} + \frac{2 \, b {\left(n - 1\right)} x^{2} x^{n} + a {\left(3 \, n - 2\right)} x^{2}}{2 \, {\left(a^{2} b^{2} n^{2} x^{2 \, n} + 2 \, a^{3} b n^{2} x^{n} + a^{4} n^{2}\right)}}"," ",0,"(n^2 - 3*n + 2)*integrate(x/(a^2*b*n^2*x^n + a^3*n^2), x) + 1/2*(2*b*(n - 1)*x^2*x^n + a*(3*n - 2)*x^2)/(a^2*b^2*n^2*x^(2*n) + 2*a^3*b*n^2*x^n + a^4*n^2)","F",0
2483,0,0,0,0.000000," ","integrate(1/(a+b*x^n)^3,x, algorithm=""maxima"")","{\left(2 \, n^{2} - 3 \, n + 1\right)} \int \frac{1}{2 \, {\left(a^{2} b n^{2} x^{n} + a^{3} n^{2}\right)}}\,{d x} + \frac{b {\left(2 \, n - 1\right)} x x^{n} + a {\left(3 \, n - 1\right)} x}{2 \, {\left(a^{2} b^{2} n^{2} x^{2 \, n} + 2 \, a^{3} b n^{2} x^{n} + a^{4} n^{2}\right)}}"," ",0,"(2*n^2 - 3*n + 1)*integrate(1/2/(a^2*b*n^2*x^n + a^3*n^2), x) + 1/2*(b*(2*n - 1)*x*x^n + a*(3*n - 1)*x)/(a^2*b^2*n^2*x^(2*n) + 2*a^3*b*n^2*x^n + a^4*n^2)","F",0
2484,1,71,0,0.508623," ","integrate(1/x/(a+b*x^n)^3,x, algorithm=""maxima"")","\frac{2 \, b x^{n} + 3 \, a}{2 \, {\left(a^{2} b^{2} n x^{2 \, n} + 2 \, a^{3} b n x^{n} + a^{4} n\right)}} - \frac{\log\left(b x^{n} + a\right)}{a^{3} n} + \frac{\log\left(x^{n}\right)}{a^{3} n}"," ",0,"1/2*(2*b*x^n + 3*a)/(a^2*b^2*n*x^(2*n) + 2*a^3*b*n*x^n + a^4*n) - log(b*x^n + a)/(a^3*n) + log(x^n)/(a^3*n)","A",0
2485,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^n)^3,x, algorithm=""maxima"")","{\left(2 \, n^{2} + 3 \, n + 1\right)} \int \frac{1}{2 \, {\left(a^{2} b n^{2} x^{2} x^{n} + a^{3} n^{2} x^{2}\right)}}\,{d x} + \frac{b {\left(2 \, n + 1\right)} x^{n} + a {\left(3 \, n + 1\right)}}{2 \, {\left(a^{2} b^{2} n^{2} x x^{2 \, n} + 2 \, a^{3} b n^{2} x x^{n} + a^{4} n^{2} x\right)}}"," ",0,"(2*n^2 + 3*n + 1)*integrate(1/2/(a^2*b*n^2*x^2*x^n + a^3*n^2*x^2), x) + 1/2*(b*(2*n + 1)*x^n + a*(3*n + 1))/(a^2*b^2*n^2*x*x^(2*n) + 2*a^3*b*n^2*x*x^n + a^4*n^2*x)","F",0
2486,0,0,0,0.000000," ","integrate(1/x^3/(a+b*x^n)^3,x, algorithm=""maxima"")","{\left(n^{2} + 3 \, n + 2\right)} \int \frac{1}{a^{2} b n^{2} x^{3} x^{n} + a^{3} n^{2} x^{3}}\,{d x} + \frac{2 \, b {\left(n + 1\right)} x^{n} + a {\left(3 \, n + 2\right)}}{2 \, {\left(a^{2} b^{2} n^{2} x^{2} x^{2 \, n} + 2 \, a^{3} b n^{2} x^{2} x^{n} + a^{4} n^{2} x^{2}\right)}}"," ",0,"(n^2 + 3*n + 2)*integrate(1/(a^2*b*n^2*x^3*x^n + a^3*n^2*x^3), x) + 1/2*(2*b*(n + 1)*x^n + a*(3*n + 2))/(a^2*b^2*n^2*x^2*x^(2*n) + 2*a^3*b*n^2*x^2*x^n + a^4*n^2*x^2)","F",0
2487,0,0,0,0.000000," ","integrate(x*(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{n} + a} x\,{d x}"," ",0,"integrate(sqrt(b*x^n + a)*x, x)","F",0
2488,0,0,0,0.000000," ","integrate((a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{n} + a}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a), x)","F",0
2489,1,54,0,1.187377," ","integrate((a+b*x^n)^(1/2)/x,x, algorithm=""maxima"")","\frac{\sqrt{a} \log\left(\frac{\sqrt{b x^{n} + a} - \sqrt{a}}{\sqrt{b x^{n} + a} + \sqrt{a}}\right)}{n} + \frac{2 \, \sqrt{b x^{n} + a}}{n}"," ",0,"sqrt(a)*log((sqrt(b*x^n + a) - sqrt(a))/(sqrt(b*x^n + a) + sqrt(a)))/n + 2*sqrt(b*x^n + a)/n","A",0
2490,0,0,0,0.000000," ","integrate((a+b*x^n)^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{n} + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a)/x^2, x)","F",0
2491,0,0,0,0.000000," ","integrate((a+b*x^n)^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{b x^{n} + a}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a)/x^3, x)","F",0
2492,0,0,0,0.000000," ","integrate(x*(a+b*x^n)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{\frac{3}{2}} x\,{d x}"," ",0,"integrate((b*x^n + a)^(3/2)*x, x)","F",0
2493,0,0,0,0.000000," ","integrate((a+b*x^n)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*x^n + a)^(3/2), x)","F",0
2494,1,67,0,1.244442," ","integrate((a+b*x^n)^(3/2)/x,x, algorithm=""maxima"")","\frac{a^{\frac{3}{2}} \log\left(\frac{\sqrt{b x^{n} + a} - \sqrt{a}}{\sqrt{b x^{n} + a} + \sqrt{a}}\right)}{n} + \frac{2 \, {\left({\left(b x^{n} + a\right)}^{\frac{3}{2}} + 3 \, \sqrt{b x^{n} + a} a\right)}}{3 \, n}"," ",0,"a^(3/2)*log((sqrt(b*x^n + a) - sqrt(a))/(sqrt(b*x^n + a) + sqrt(a)))/n + 2/3*((b*x^n + a)^(3/2) + 3*sqrt(b*x^n + a)*a)/n","A",0
2495,0,0,0,0.000000," ","integrate((a+b*x^n)^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{n} + a\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^n + a)^(3/2)/x^2, x)","F",0
2496,0,0,0,0.000000," ","integrate((a+b*x^n)^(3/2)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{n} + a\right)}^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate((b*x^n + a)^(3/2)/x^3, x)","F",0
2497,0,0,0,0.000000," ","integrate(x*(a+b*x^n)^(5/2),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{\frac{5}{2}} x\,{d x}"," ",0,"integrate((b*x^n + a)^(5/2)*x, x)","F",0
2498,0,0,0,0.000000," ","integrate((a+b*x^n)^(5/2),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*x^n + a)^(5/2), x)","F",0
2499,1,83,0,1.312201," ","integrate((a+b*x^n)^(5/2)/x,x, algorithm=""maxima"")","\frac{a^{\frac{5}{2}} \log\left(\frac{\sqrt{b x^{n} + a} - \sqrt{a}}{\sqrt{b x^{n} + a} + \sqrt{a}}\right)}{n} + \frac{2 \, {\left(3 \, {\left(b x^{n} + a\right)}^{\frac{5}{2}} + 5 \, {\left(b x^{n} + a\right)}^{\frac{3}{2}} a + 15 \, \sqrt{b x^{n} + a} a^{2}\right)}}{15 \, n}"," ",0,"a^(5/2)*log((sqrt(b*x^n + a) - sqrt(a))/(sqrt(b*x^n + a) + sqrt(a)))/n + 2/15*(3*(b*x^n + a)^(5/2) + 5*(b*x^n + a)^(3/2)*a + 15*sqrt(b*x^n + a)*a^2)/n","A",0
2500,0,0,0,0.000000," ","integrate((a+b*x^n)^(5/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b x^{n} + a\right)}^{\frac{5}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((b*x^n + a)^(5/2)/x^2, x)","F",0
2501,0,0,0,0.000000," ","integrate((a+b*x^n)^(5/2)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b x^{n} + a\right)}^{\frac{5}{2}}}{x^{3}}\,{d x}"," ",0,"integrate((b*x^n + a)^(5/2)/x^3, x)","F",0
2502,0,0,0,0.000000," ","integrate(x/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x/sqrt(b*x^n + a), x)","F",0
2503,0,0,0,0.000000," ","integrate(1/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*x^n + a), x)","F",0
2504,1,39,0,1.125993," ","integrate(1/x/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x^{n} + a} - \sqrt{a}}{\sqrt{b x^{n} + a} + \sqrt{a}}\right)}{\sqrt{a} n}"," ",0,"log((sqrt(b*x^n + a) - sqrt(a))/(sqrt(b*x^n + a) + sqrt(a)))/(sqrt(a)*n)","A",0
2505,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{n} + a} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^n + a)*x^2), x)","F",0
2506,0,0,0,0.000000," ","integrate(1/x^3/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x^{n} + a} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^n + a)*x^3), x)","F",0
2507,0,0,0,0.000000," ","integrate(x/(a+b*x^n)^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{n} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(b*x^n + a)^(3/2), x)","F",0
2508,0,0,0,0.000000," ","integrate(1/(a+b*x^n)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*x^n + a)^(-3/2), x)","F",0
2509,1,57,0,1.450957," ","integrate(1/x/(a+b*x^n)^(3/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x^{n} + a} - \sqrt{a}}{\sqrt{b x^{n} + a} + \sqrt{a}}\right)}{a^{\frac{3}{2}} n} + \frac{2}{\sqrt{b x^{n} + a} a n}"," ",0,"log((sqrt(b*x^n + a) - sqrt(a))/(sqrt(b*x^n + a) + sqrt(a)))/(a^(3/2)*n) + 2/(sqrt(b*x^n + a)*a*n)","A",0
2510,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^n)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^(3/2)*x^2), x)","F",0
2511,0,0,0,0.000000," ","integrate(1/x^3/(a+b*x^n)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^(3/2)*x^3), x)","F",0
2512,0,0,0,0.000000," ","integrate(x/(a+b*x^n)^(5/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(b x^{n} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x/(b*x^n + a)^(5/2), x)","F",0
2513,0,0,0,0.000000," ","integrate(1/(a+b*x^n)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*x^n + a)^(-5/2), x)","F",0
2514,1,67,0,1.179667," ","integrate(1/x/(a+b*x^n)^(5/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x^{n} + a} - \sqrt{a}}{\sqrt{b x^{n} + a} + \sqrt{a}}\right)}{a^{\frac{5}{2}} n} + \frac{2 \, {\left(3 \, b x^{n} + 4 \, a\right)}}{3 \, {\left(b x^{n} + a\right)}^{\frac{3}{2}} a^{2} n}"," ",0,"log((sqrt(b*x^n + a) - sqrt(a))/(sqrt(b*x^n + a) + sqrt(a)))/(a^(5/2)*n) + 2/3*(3*b*x^n + 4*a)/((b*x^n + a)^(3/2)*a^2*n)","A",0
2515,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^n)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{\frac{5}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^(5/2)*x^2), x)","F",0
2516,0,0,0,0.000000," ","integrate(1/x^3/(a+b*x^n)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{\frac{5}{2}} x^{3}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^(5/2)*x^3), x)","F",0
2517,1,108,0,1.319725," ","integrate((a+b*x^n)^(1/3)/x,x, algorithm=""maxima"")","-\frac{\sqrt{3} a^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(b x^{n} + a\right)}^{\frac{1}{3}} + a^{\frac{1}{3}}\right)}}{3 \, a^{\frac{1}{3}}}\right)}{n} - \frac{a^{\frac{1}{3}} \log\left({\left(b x^{n} + a\right)}^{\frac{2}{3}} + {\left(b x^{n} + a\right)}^{\frac{1}{3}} a^{\frac{1}{3}} + a^{\frac{2}{3}}\right)}{2 \, n} + \frac{a^{\frac{1}{3}} \log\left({\left(b x^{n} + a\right)}^{\frac{1}{3}} - a^{\frac{1}{3}}\right)}{n} + \frac{3 \, {\left(b x^{n} + a\right)}^{\frac{1}{3}}}{n}"," ",0,"-sqrt(3)*a^(1/3)*arctan(1/3*sqrt(3)*(2*(b*x^n + a)^(1/3) + a^(1/3))/a^(1/3))/n - 1/2*a^(1/3)*log((b*x^n + a)^(2/3) + (b*x^n + a)^(1/3)*a^(1/3) + a^(2/3))/n + a^(1/3)*log((b*x^n + a)^(1/3) - a^(1/3))/n + 3*(b*x^n + a)^(1/3)/n","A",0
2518,1,23,0,0.665688," ","integrate(x^(-1+4*n)*(a+b*x^n),x, algorithm=""maxima"")","\frac{b x^{5 \, n}}{5 \, n} + \frac{a x^{4 \, n}}{4 \, n}"," ",0,"1/5*b*x^(5*n)/n + 1/4*a*x^(4*n)/n","A",0
2519,1,23,0,0.490385," ","integrate(x^(-1+3*n)*(a+b*x^n),x, algorithm=""maxima"")","\frac{b x^{4 \, n}}{4 \, n} + \frac{a x^{3 \, n}}{3 \, n}"," ",0,"1/4*b*x^(4*n)/n + 1/3*a*x^(3*n)/n","A",0
2520,1,23,0,0.516948," ","integrate(x^(-1+2*n)*(a+b*x^n),x, algorithm=""maxima"")","\frac{b x^{3 \, n}}{3 \, n} + \frac{a x^{2 \, n}}{2 \, n}"," ",0,"1/3*b*x^(3*n)/n + 1/2*a*x^(2*n)/n","A",0
2521,1,17,0,0.584080," ","integrate(x^(-1+n)*(a+b*x^n),x, algorithm=""maxima"")","\frac{{\left(b x^{n} + a\right)}^{2}}{2 \, b n}"," ",0,"1/2*(b*x^n + a)^2/(b*n)","A",0
2522,1,18,0,0.504802," ","integrate((a+b*x^n)/x,x, algorithm=""maxima"")","\frac{b x^{n}}{n} + \frac{a \log\left(x^{n}\right)}{n}"," ",0,"b*x^n/n + a*log(x^n)/n","A",0
2523,1,16,0,0.666779," ","integrate(x^(-1-n)*(a+b*x^n),x, algorithm=""maxima"")","b \log\left(x\right) - \frac{a}{n x^{n}}"," ",0,"b*log(x) - a/(n*x^n)","A",0
2524,1,25,0,0.607394," ","integrate(x^(-1-2*n)*(a+b*x^n),x, algorithm=""maxima"")","-\frac{a}{2 \, n x^{2 \, n}} - \frac{b}{n x^{n}}"," ",0,"-1/2*a/(n*x^(2*n)) - b/(n*x^n)","A",0
2525,1,27,0,0.650055," ","integrate(x^(-1-3*n)*(a+b*x^n),x, algorithm=""maxima"")","-\frac{a}{3 \, n x^{3 \, n}} - \frac{b}{2 \, n x^{2 \, n}}"," ",0,"-1/3*a/(n*x^(3*n)) - 1/2*b/(n*x^(2*n))","A",0
2526,1,27,0,0.639088," ","integrate(x^(-1-4*n)*(a+b*x^n),x, algorithm=""maxima"")","-\frac{a}{4 \, n x^{4 \, n}} - \frac{b}{3 \, n x^{3 \, n}}"," ",0,"-1/4*a/(n*x^(4*n)) - 1/3*b/(n*x^(3*n))","A",0
2527,1,27,0,0.541028," ","integrate(x^(-1-5*n)*(a+b*x^n),x, algorithm=""maxima"")","-\frac{a}{5 \, n x^{5 \, n}} - \frac{b}{4 \, n x^{4 \, n}}"," ",0,"-1/5*a/(n*x^(5*n)) - 1/4*b/(n*x^(4*n))","A",0
2528,1,39,0,0.683113," ","integrate(x^(-1+4*n)*(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{b^{2} x^{6 \, n}}{6 \, n} + \frac{2 \, a b x^{5 \, n}}{5 \, n} + \frac{a^{2} x^{4 \, n}}{4 \, n}"," ",0,"1/6*b^2*x^(6*n)/n + 2/5*a*b*x^(5*n)/n + 1/4*a^2*x^(4*n)/n","A",0
2529,1,39,0,0.520543," ","integrate(x^(-1+3*n)*(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{b^{2} x^{5 \, n}}{5 \, n} + \frac{a b x^{4 \, n}}{2 \, n} + \frac{a^{2} x^{3 \, n}}{3 \, n}"," ",0,"1/5*b^2*x^(5*n)/n + 1/2*a*b*x^(4*n)/n + 1/3*a^2*x^(3*n)/n","A",0
2530,1,39,0,0.665134," ","integrate(x^(-1+2*n)*(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{b^{2} x^{4 \, n}}{4 \, n} + \frac{2 \, a b x^{3 \, n}}{3 \, n} + \frac{a^{2} x^{2 \, n}}{2 \, n}"," ",0,"1/4*b^2*x^(4*n)/n + 2/3*a*b*x^(3*n)/n + 1/2*a^2*x^(2*n)/n","A",0
2531,1,17,0,0.673575," ","integrate(x^(-1+n)*(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{{\left(b x^{n} + a\right)}^{3}}{3 \, b n}"," ",0,"1/3*(b*x^n + a)^3/(b*n)","A",0
2532,1,34,0,0.564599," ","integrate((a+b*x^n)^2/x,x, algorithm=""maxima"")","\frac{a^{2} \log\left(x^{n}\right)}{n} + \frac{b^{2} x^{2 \, n} + 4 \, a b x^{n}}{2 \, n}"," ",0,"a^2*log(x^n)/n + 1/2*(b^2*x^(2*n) + 4*a*b*x^n)/n","A",0
2533,1,30,0,0.585257," ","integrate(x^(-1-n)*(a+b*x^n)^2,x, algorithm=""maxima"")","2 \, a b \log\left(x\right) + \frac{b^{2} x^{n}}{n} - \frac{a^{2}}{n x^{n}}"," ",0,"2*a*b*log(x) + b^2*x^n/n - a^2/(n*x^n)","A",0
2534,1,34,0,0.541321," ","integrate(x^(-1-2*n)*(a+b*x^n)^2,x, algorithm=""maxima"")","b^{2} \log\left(x\right) - \frac{a^{2}}{2 \, n x^{2 \, n}} - \frac{2 \, a b}{n x^{n}}"," ",0,"b^2*log(x) - 1/2*a^2/(n*x^(2*n)) - 2*a*b/(n*x^n)","A",0
2535,1,43,0,0.619259," ","integrate(x^(-1-3*n)*(a+b*x^n)^2,x, algorithm=""maxima"")","-\frac{a^{2}}{3 \, n x^{3 \, n}} - \frac{a b}{n x^{2 \, n}} - \frac{b^{2}}{n x^{n}}"," ",0,"-1/3*a^2/(n*x^(3*n)) - a*b/(n*x^(2*n)) - b^2/(n*x^n)","A",0
2536,1,45,0,0.530030," ","integrate(x^(-1-4*n)*(a+b*x^n)^2,x, algorithm=""maxima"")","-\frac{a^{2}}{4 \, n x^{4 \, n}} - \frac{2 \, a b}{3 \, n x^{3 \, n}} - \frac{b^{2}}{2 \, n x^{2 \, n}}"," ",0,"-1/4*a^2/(n*x^(4*n)) - 2/3*a*b/(n*x^(3*n)) - 1/2*b^2/(n*x^(2*n))","A",0
2537,1,45,0,0.461898," ","integrate(x^(-1-5*n)*(a+b*x^n)^2,x, algorithm=""maxima"")","-\frac{a^{2}}{5 \, n x^{5 \, n}} - \frac{a b}{2 \, n x^{4 \, n}} - \frac{b^{2}}{3 \, n x^{3 \, n}}"," ",0,"-1/5*a^2/(n*x^(5*n)) - 1/2*a*b/(n*x^(4*n)) - 1/3*b^2/(n*x^(3*n))","A",0
2538,1,45,0,0.475032," ","integrate(x^(-1-6*n)*(a+b*x^n)^2,x, algorithm=""maxima"")","-\frac{a^{2}}{6 \, n x^{6 \, n}} - \frac{2 \, a b}{5 \, n x^{5 \, n}} - \frac{b^{2}}{4 \, n x^{4 \, n}}"," ",0,"-1/6*a^2/(n*x^(6*n)) - 2/5*a*b/(n*x^(5*n)) - 1/4*b^2/(n*x^(4*n))","A",0
2539,1,55,0,0.557004," ","integrate(x^(-1+4*n)*(a+b*x^n)^3,x, algorithm=""maxima"")","\frac{b^{3} x^{7 \, n}}{7 \, n} + \frac{a b^{2} x^{6 \, n}}{2 \, n} + \frac{3 \, a^{2} b x^{5 \, n}}{5 \, n} + \frac{a^{3} x^{4 \, n}}{4 \, n}"," ",0,"1/7*b^3*x^(7*n)/n + 1/2*a*b^2*x^(6*n)/n + 3/5*a^2*b*x^(5*n)/n + 1/4*a^3*x^(4*n)/n","A",0
2540,1,55,0,0.541942," ","integrate(x^(-1+3*n)*(a+b*x^n)^3,x, algorithm=""maxima"")","\frac{b^{3} x^{6 \, n}}{6 \, n} + \frac{3 \, a b^{2} x^{5 \, n}}{5 \, n} + \frac{3 \, a^{2} b x^{4 \, n}}{4 \, n} + \frac{a^{3} x^{3 \, n}}{3 \, n}"," ",0,"1/6*b^3*x^(6*n)/n + 3/5*a*b^2*x^(5*n)/n + 3/4*a^2*b*x^(4*n)/n + 1/3*a^3*x^(3*n)/n","A",0
2541,1,54,0,0.462685," ","integrate(x^(-1+2*n)*(a+b*x^n)^3,x, algorithm=""maxima"")","\frac{b^{3} x^{5 \, n}}{5 \, n} + \frac{3 \, a b^{2} x^{4 \, n}}{4 \, n} + \frac{a^{2} b x^{3 \, n}}{n} + \frac{a^{3} x^{2 \, n}}{2 \, n}"," ",0,"1/5*b^3*x^(5*n)/n + 3/4*a*b^2*x^(4*n)/n + a^2*b*x^(3*n)/n + 1/2*a^3*x^(2*n)/n","A",0
2542,1,17,0,0.608767," ","integrate(x^(-1+n)*(a+b*x^n)^3,x, algorithm=""maxima"")","\frac{{\left(b x^{n} + a\right)}^{4}}{4 \, b n}"," ",0,"1/4*(b*x^n + a)^4/(b*n)","A",0
2543,1,48,0,0.597149," ","integrate((a+b*x^n)^3/x,x, algorithm=""maxima"")","\frac{a^{3} \log\left(x^{n}\right)}{n} + \frac{2 \, b^{3} x^{3 \, n} + 9 \, a b^{2} x^{2 \, n} + 18 \, a^{2} b x^{n}}{6 \, n}"," ",0,"a^3*log(x^n)/n + 1/6*(2*b^3*x^(3*n) + 9*a*b^2*x^(2*n) + 18*a^2*b*x^n)/n","A",0
2544,1,47,0,0.686897," ","integrate(x^(-1-n)*(a+b*x^n)^3,x, algorithm=""maxima"")","3 \, a^{2} b \log\left(x\right) + \frac{b^{3} x^{2 \, n}}{2 \, n} + \frac{3 \, a b^{2} x^{n}}{n} - \frac{a^{3}}{n x^{n}}"," ",0,"3*a^2*b*log(x) + 1/2*b^3*x^(2*n)/n + 3*a*b^2*x^n/n - a^3/(n*x^n)","A",0
2545,1,48,0,0.653499," ","integrate(x^(-1-2*n)*(a+b*x^n)^3,x, algorithm=""maxima"")","3 \, a b^{2} \log\left(x\right) + \frac{b^{3} x^{n}}{n} - \frac{a^{3}}{2 \, n x^{2 \, n}} - \frac{3 \, a^{2} b}{n x^{n}}"," ",0,"3*a*b^2*log(x) + b^3*x^n/n - 1/2*a^3/(n*x^(2*n)) - 3*a^2*b/(n*x^n)","A",0
2546,1,52,0,0.513624," ","integrate(x^(-1-3*n)*(a+b*x^n)^3,x, algorithm=""maxima"")","b^{3} \log\left(x\right) - \frac{a^{3}}{3 \, n x^{3 \, n}} - \frac{3 \, a^{2} b}{2 \, n x^{2 \, n}} - \frac{3 \, a b^{2}}{n x^{n}}"," ",0,"b^3*log(x) - 1/3*a^3/(n*x^(3*n)) - 3/2*a^2*b/(n*x^(2*n)) - 3*a*b^2/(n*x^n)","A",0
2547,1,61,0,0.446444," ","integrate(x^(-1-4*n)*(a+b*x^n)^3,x, algorithm=""maxima"")","-\frac{a^{3}}{4 \, n x^{4 \, n}} - \frac{a^{2} b}{n x^{3 \, n}} - \frac{3 \, a b^{2}}{2 \, n x^{2 \, n}} - \frac{b^{3}}{n x^{n}}"," ",0,"-1/4*a^3/(n*x^(4*n)) - a^2*b/(n*x^(3*n)) - 3/2*a*b^2/(n*x^(2*n)) - b^3/(n*x^n)","B",0
2548,1,63,0,0.584872," ","integrate(x^(-1-5*n)*(a+b*x^n)^3,x, algorithm=""maxima"")","-\frac{a^{3}}{5 \, n x^{5 \, n}} - \frac{3 \, a^{2} b}{4 \, n x^{4 \, n}} - \frac{a b^{2}}{n x^{3 \, n}} - \frac{b^{3}}{2 \, n x^{2 \, n}}"," ",0,"-1/5*a^3/(n*x^(5*n)) - 3/4*a^2*b/(n*x^(4*n)) - a*b^2/(n*x^(3*n)) - 1/2*b^3/(n*x^(2*n))","A",0
2549,1,63,0,0.487975," ","integrate(x^(-1-6*n)*(a+b*x^n)^3,x, algorithm=""maxima"")","-\frac{a^{3}}{6 \, n x^{6 \, n}} - \frac{3 \, a^{2} b}{5 \, n x^{5 \, n}} - \frac{3 \, a b^{2}}{4 \, n x^{4 \, n}} - \frac{b^{3}}{3 \, n x^{3 \, n}}"," ",0,"-1/6*a^3/(n*x^(6*n)) - 3/5*a^2*b/(n*x^(5*n)) - 3/4*a*b^2/(n*x^(4*n)) - 1/3*b^3/(n*x^(3*n))","A",0
2550,1,63,0,0.543345," ","integrate(x^(-1-7*n)*(a+b*x^n)^3,x, algorithm=""maxima"")","-\frac{a^{3}}{7 \, n x^{7 \, n}} - \frac{a^{2} b}{2 \, n x^{6 \, n}} - \frac{3 \, a b^{2}}{5 \, n x^{5 \, n}} - \frac{b^{3}}{4 \, n x^{4 \, n}}"," ",0,"-1/7*a^3/(n*x^(7*n)) - 1/2*a^2*b/(n*x^(6*n)) - 3/5*a*b^2/(n*x^(5*n)) - 1/4*b^3/(n*x^(4*n))","A",0
2551,1,86,0,0.534910," ","integrate(x^(-1+4*n)*(a+b*x^n)^5,x, algorithm=""maxima"")","\frac{b^{5} x^{9 \, n}}{9 \, n} + \frac{5 \, a b^{4} x^{8 \, n}}{8 \, n} + \frac{10 \, a^{2} b^{3} x^{7 \, n}}{7 \, n} + \frac{5 \, a^{3} b^{2} x^{6 \, n}}{3 \, n} + \frac{a^{4} b x^{5 \, n}}{n} + \frac{a^{5} x^{4 \, n}}{4 \, n}"," ",0,"1/9*b^5*x^(9*n)/n + 5/8*a*b^4*x^(8*n)/n + 10/7*a^2*b^3*x^(7*n)/n + 5/3*a^3*b^2*x^(6*n)/n + a^4*b*x^(5*n)/n + 1/4*a^5*x^(4*n)/n","A",0
2552,1,87,0,0.712882," ","integrate(x^(-1+3*n)*(a+b*x^n)^5,x, algorithm=""maxima"")","\frac{b^{5} x^{8 \, n}}{8 \, n} + \frac{5 \, a b^{4} x^{7 \, n}}{7 \, n} + \frac{5 \, a^{2} b^{3} x^{6 \, n}}{3 \, n} + \frac{2 \, a^{3} b^{2} x^{5 \, n}}{n} + \frac{5 \, a^{4} b x^{4 \, n}}{4 \, n} + \frac{a^{5} x^{3 \, n}}{3 \, n}"," ",0,"1/8*b^5*x^(8*n)/n + 5/7*a*b^4*x^(7*n)/n + 5/3*a^2*b^3*x^(6*n)/n + 2*a^3*b^2*x^(5*n)/n + 5/4*a^4*b*x^(4*n)/n + 1/3*a^5*x^(3*n)/n","A",0
2553,1,87,0,0.586825," ","integrate(x^(-1+2*n)*(a+b*x^n)^5,x, algorithm=""maxima"")","\frac{b^{5} x^{7 \, n}}{7 \, n} + \frac{5 \, a b^{4} x^{6 \, n}}{6 \, n} + \frac{2 \, a^{2} b^{3} x^{5 \, n}}{n} + \frac{5 \, a^{3} b^{2} x^{4 \, n}}{2 \, n} + \frac{5 \, a^{4} b x^{3 \, n}}{3 \, n} + \frac{a^{5} x^{2 \, n}}{2 \, n}"," ",0,"1/7*b^5*x^(7*n)/n + 5/6*a*b^4*x^(6*n)/n + 2*a^2*b^3*x^(5*n)/n + 5/2*a^3*b^2*x^(4*n)/n + 5/3*a^4*b*x^(3*n)/n + 1/2*a^5*x^(2*n)/n","B",0
2554,1,17,0,0.544019," ","integrate(x^(-1+n)*(a+b*x^n)^5,x, algorithm=""maxima"")","\frac{{\left(b x^{n} + a\right)}^{6}}{6 \, b n}"," ",0,"1/6*(b*x^n + a)^6/(b*n)","A",0
2555,1,74,0,0.490232," ","integrate((a+b*x^n)^5/x,x, algorithm=""maxima"")","\frac{a^{5} \log\left(x^{n}\right)}{n} + \frac{12 \, b^{5} x^{5 \, n} + 75 \, a b^{4} x^{4 \, n} + 200 \, a^{2} b^{3} x^{3 \, n} + 300 \, a^{3} b^{2} x^{2 \, n} + 300 \, a^{4} b x^{n}}{60 \, n}"," ",0,"a^5*log(x^n)/n + 1/60*(12*b^5*x^(5*n) + 75*a*b^4*x^(4*n) + 200*a^2*b^3*x^(3*n) + 300*a^3*b^2*x^(2*n) + 300*a^4*b*x^n)/n","A",0
2556,1,79,0,0.566481," ","integrate(x^(-1-n)*(a+b*x^n)^5,x, algorithm=""maxima"")","5 \, a^{4} b \log\left(x\right) + \frac{b^{5} x^{4 \, n}}{4 \, n} + \frac{5 \, a b^{4} x^{3 \, n}}{3 \, n} + \frac{5 \, a^{2} b^{3} x^{2 \, n}}{n} + \frac{10 \, a^{3} b^{2} x^{n}}{n} - \frac{a^{5}}{n x^{n}}"," ",0,"5*a^4*b*log(x) + 1/4*b^5*x^(4*n)/n + 5/3*a*b^4*x^(3*n)/n + 5*a^2*b^3*x^(2*n)/n + 10*a^3*b^2*x^n/n - a^5/(n*x^n)","A",0
2557,1,81,0,0.579404," ","integrate(x^(-1-2*n)*(a+b*x^n)^5,x, algorithm=""maxima"")","10 \, a^{3} b^{2} \log\left(x\right) + \frac{b^{5} x^{3 \, n}}{3 \, n} + \frac{5 \, a b^{4} x^{2 \, n}}{2 \, n} + \frac{10 \, a^{2} b^{3} x^{n}}{n} - \frac{a^{5}}{2 \, n x^{2 \, n}} - \frac{5 \, a^{4} b}{n x^{n}}"," ",0,"10*a^3*b^2*log(x) + 1/3*b^5*x^(3*n)/n + 5/2*a*b^4*x^(2*n)/n + 10*a^2*b^3*x^n/n - 1/2*a^5/(n*x^(2*n)) - 5*a^4*b/(n*x^n)","A",0
2558,1,83,0,0.513868," ","integrate(x^(-1-3*n)*(a+b*x^n)^5,x, algorithm=""maxima"")","10 \, a^{2} b^{3} \log\left(x\right) + \frac{b^{5} x^{2 \, n}}{2 \, n} + \frac{5 \, a b^{4} x^{n}}{n} - \frac{a^{5}}{3 \, n x^{3 \, n}} - \frac{5 \, a^{4} b}{2 \, n x^{2 \, n}} - \frac{10 \, a^{3} b^{2}}{n x^{n}}"," ",0,"10*a^2*b^3*log(x) + 1/2*b^5*x^(2*n)/n + 5*a*b^4*x^n/n - 1/3*a^5/(n*x^(3*n)) - 5/2*a^4*b/(n*x^(2*n)) - 10*a^3*b^2/(n*x^n)","A",0
2559,1,84,0,0.711478," ","integrate(x^(-1-4*n)*(a+b*x^n)^5,x, algorithm=""maxima"")","5 \, a b^{4} \log\left(x\right) + \frac{b^{5} x^{n}}{n} - \frac{a^{5}}{4 \, n x^{4 \, n}} - \frac{5 \, a^{4} b}{3 \, n x^{3 \, n}} - \frac{5 \, a^{3} b^{2}}{n x^{2 \, n}} - \frac{10 \, a^{2} b^{3}}{n x^{n}}"," ",0,"5*a*b^4*log(x) + b^5*x^n/n - 1/4*a^5/(n*x^(4*n)) - 5/3*a^4*b/(n*x^(3*n)) - 5*a^3*b^2/(n*x^(2*n)) - 10*a^2*b^3/(n*x^n)","A",0
2560,1,88,0,0.594109," ","integrate(x^(-1-5*n)*(a+b*x^n)^5,x, algorithm=""maxima"")","b^{5} \log\left(x\right) - \frac{a^{5}}{5 \, n x^{5 \, n}} - \frac{5 \, a^{4} b}{4 \, n x^{4 \, n}} - \frac{10 \, a^{3} b^{2}}{3 \, n x^{3 \, n}} - \frac{5 \, a^{2} b^{3}}{n x^{2 \, n}} - \frac{5 \, a b^{4}}{n x^{n}}"," ",0,"b^5*log(x) - 1/5*a^5/(n*x^(5*n)) - 5/4*a^4*b/(n*x^(4*n)) - 10/3*a^3*b^2/(n*x^(3*n)) - 5*a^2*b^3/(n*x^(2*n)) - 5*a*b^4/(n*x^n)","A",0
2561,1,97,0,0.614891," ","integrate(x^(-1-6*n)*(a+b*x^n)^5,x, algorithm=""maxima"")","-\frac{a^{5}}{6 \, n x^{6 \, n}} - \frac{a^{4} b}{n x^{5 \, n}} - \frac{5 \, a^{3} b^{2}}{2 \, n x^{4 \, n}} - \frac{10 \, a^{2} b^{3}}{3 \, n x^{3 \, n}} - \frac{5 \, a b^{4}}{2 \, n x^{2 \, n}} - \frac{b^{5}}{n x^{n}}"," ",0,"-1/6*a^5/(n*x^(6*n)) - a^4*b/(n*x^(5*n)) - 5/2*a^3*b^2/(n*x^(4*n)) - 10/3*a^2*b^3/(n*x^(3*n)) - 5/2*a*b^4/(n*x^(2*n)) - b^5/(n*x^n)","B",0
2562,1,99,0,0.514719," ","integrate(x^(-1-7*n)*(a+b*x^n)^5,x, algorithm=""maxima"")","-\frac{a^{5}}{7 \, n x^{7 \, n}} - \frac{5 \, a^{4} b}{6 \, n x^{6 \, n}} - \frac{2 \, a^{3} b^{2}}{n x^{5 \, n}} - \frac{5 \, a^{2} b^{3}}{2 \, n x^{4 \, n}} - \frac{5 \, a b^{4}}{3 \, n x^{3 \, n}} - \frac{b^{5}}{2 \, n x^{2 \, n}}"," ",0,"-1/7*a^5/(n*x^(7*n)) - 5/6*a^4*b/(n*x^(6*n)) - 2*a^3*b^2/(n*x^(5*n)) - 5/2*a^2*b^3/(n*x^(4*n)) - 5/3*a*b^4/(n*x^(3*n)) - 1/2*b^5/(n*x^(2*n))","A",0
2563,1,99,0,0.480271," ","integrate(x^(-1-8*n)*(a+b*x^n)^5,x, algorithm=""maxima"")","-\frac{a^{5}}{8 \, n x^{8 \, n}} - \frac{5 \, a^{4} b}{7 \, n x^{7 \, n}} - \frac{5 \, a^{3} b^{2}}{3 \, n x^{6 \, n}} - \frac{2 \, a^{2} b^{3}}{n x^{5 \, n}} - \frac{5 \, a b^{4}}{4 \, n x^{4 \, n}} - \frac{b^{5}}{3 \, n x^{3 \, n}}"," ",0,"-1/8*a^5/(n*x^(8*n)) - 5/7*a^4*b/(n*x^(7*n)) - 5/3*a^3*b^2/(n*x^(6*n)) - 2*a^2*b^3/(n*x^(5*n)) - 5/4*a*b^4/(n*x^(4*n)) - 1/3*b^5/(n*x^(3*n))","A",0
2564,1,99,0,0.553233," ","integrate(x^(-1-9*n)*(a+b*x^n)^5,x, algorithm=""maxima"")","-\frac{a^{5}}{9 \, n x^{9 \, n}} - \frac{5 \, a^{4} b}{8 \, n x^{8 \, n}} - \frac{10 \, a^{3} b^{2}}{7 \, n x^{7 \, n}} - \frac{5 \, a^{2} b^{3}}{3 \, n x^{6 \, n}} - \frac{a b^{4}}{n x^{5 \, n}} - \frac{b^{5}}{4 \, n x^{4 \, n}}"," ",0,"-1/9*a^5/(n*x^(9*n)) - 5/8*a^4*b/(n*x^(8*n)) - 10/7*a^3*b^2/(n*x^(7*n)) - 5/3*a^2*b^3/(n*x^(6*n)) - a*b^4/(n*x^(5*n)) - 1/4*b^5/(n*x^(4*n))","A",0
2565,1,99,0,0.577258," ","integrate(x^(-1-10*n)*(a+b*x^n)^5,x, algorithm=""maxima"")","-\frac{a^{5}}{10 \, n x^{10 \, n}} - \frac{5 \, a^{4} b}{9 \, n x^{9 \, n}} - \frac{5 \, a^{3} b^{2}}{4 \, n x^{8 \, n}} - \frac{10 \, a^{2} b^{3}}{7 \, n x^{7 \, n}} - \frac{5 \, a b^{4}}{6 \, n x^{6 \, n}} - \frac{b^{5}}{5 \, n x^{5 \, n}}"," ",0,"-1/10*a^5/(n*x^(10*n)) - 5/9*a^4*b/(n*x^(9*n)) - 5/4*a^3*b^2/(n*x^(8*n)) - 10/7*a^2*b^3/(n*x^(7*n)) - 5/6*a*b^4/(n*x^(6*n)) - 1/5*b^5/(n*x^(5*n))","A",0
2566,1,135,0,0.574938," ","integrate(x^(-1+9*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","\frac{b^{8} x^{17 \, n}}{17 \, n} + \frac{a b^{7} x^{16 \, n}}{2 \, n} + \frac{28 \, a^{2} b^{6} x^{15 \, n}}{15 \, n} + \frac{4 \, a^{3} b^{5} x^{14 \, n}}{n} + \frac{70 \, a^{4} b^{4} x^{13 \, n}}{13 \, n} + \frac{14 \, a^{5} b^{3} x^{12 \, n}}{3 \, n} + \frac{28 \, a^{6} b^{2} x^{11 \, n}}{11 \, n} + \frac{4 \, a^{7} b x^{10 \, n}}{5 \, n} + \frac{a^{8} x^{9 \, n}}{9 \, n}"," ",0,"1/17*b^8*x^(17*n)/n + 1/2*a*b^7*x^(16*n)/n + 28/15*a^2*b^6*x^(15*n)/n + 4*a^3*b^5*x^(14*n)/n + 70/13*a^4*b^4*x^(13*n)/n + 14/3*a^5*b^3*x^(12*n)/n + 28/11*a^6*b^2*x^(11*n)/n + 4/5*a^7*b*x^(10*n)/n + 1/9*a^8*x^(9*n)/n","A",0
2567,1,135,0,0.536211," ","integrate(x^(-1+8*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","\frac{b^{8} x^{16 \, n}}{16 \, n} + \frac{8 \, a b^{7} x^{15 \, n}}{15 \, n} + \frac{2 \, a^{2} b^{6} x^{14 \, n}}{n} + \frac{56 \, a^{3} b^{5} x^{13 \, n}}{13 \, n} + \frac{35 \, a^{4} b^{4} x^{12 \, n}}{6 \, n} + \frac{56 \, a^{5} b^{3} x^{11 \, n}}{11 \, n} + \frac{14 \, a^{6} b^{2} x^{10 \, n}}{5 \, n} + \frac{8 \, a^{7} b x^{9 \, n}}{9 \, n} + \frac{a^{8} x^{8 \, n}}{8 \, n}"," ",0,"1/16*b^8*x^(16*n)/n + 8/15*a*b^7*x^(15*n)/n + 2*a^2*b^6*x^(14*n)/n + 56/13*a^3*b^5*x^(13*n)/n + 35/6*a^4*b^4*x^(12*n)/n + 56/11*a^5*b^3*x^(11*n)/n + 14/5*a^6*b^2*x^(10*n)/n + 8/9*a^7*b*x^(9*n)/n + 1/8*a^8*x^(8*n)/n","A",0
2568,1,134,0,0.666149," ","integrate(x^(-1+7*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","\frac{b^{8} x^{15 \, n}}{15 \, n} + \frac{4 \, a b^{7} x^{14 \, n}}{7 \, n} + \frac{28 \, a^{2} b^{6} x^{13 \, n}}{13 \, n} + \frac{14 \, a^{3} b^{5} x^{12 \, n}}{3 \, n} + \frac{70 \, a^{4} b^{4} x^{11 \, n}}{11 \, n} + \frac{28 \, a^{5} b^{3} x^{10 \, n}}{5 \, n} + \frac{28 \, a^{6} b^{2} x^{9 \, n}}{9 \, n} + \frac{a^{7} b x^{8 \, n}}{n} + \frac{a^{8} x^{7 \, n}}{7 \, n}"," ",0,"1/15*b^8*x^(15*n)/n + 4/7*a*b^7*x^(14*n)/n + 28/13*a^2*b^6*x^(13*n)/n + 14/3*a^3*b^5*x^(12*n)/n + 70/11*a^4*b^4*x^(11*n)/n + 28/5*a^5*b^3*x^(10*n)/n + 28/9*a^6*b^2*x^(9*n)/n + a^7*b*x^(8*n)/n + 1/7*a^8*x^(7*n)/n","A",0
2569,1,135,0,0.578580," ","integrate(x^(-1+6*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","\frac{b^{8} x^{14 \, n}}{14 \, n} + \frac{8 \, a b^{7} x^{13 \, n}}{13 \, n} + \frac{7 \, a^{2} b^{6} x^{12 \, n}}{3 \, n} + \frac{56 \, a^{3} b^{5} x^{11 \, n}}{11 \, n} + \frac{7 \, a^{4} b^{4} x^{10 \, n}}{n} + \frac{56 \, a^{5} b^{3} x^{9 \, n}}{9 \, n} + \frac{7 \, a^{6} b^{2} x^{8 \, n}}{2 \, n} + \frac{8 \, a^{7} b x^{7 \, n}}{7 \, n} + \frac{a^{8} x^{6 \, n}}{6 \, n}"," ",0,"1/14*b^8*x^(14*n)/n + 8/13*a*b^7*x^(13*n)/n + 7/3*a^2*b^6*x^(12*n)/n + 56/11*a^3*b^5*x^(11*n)/n + 7*a^4*b^4*x^(10*n)/n + 56/9*a^5*b^3*x^(9*n)/n + 7/2*a^6*b^2*x^(8*n)/n + 8/7*a^7*b*x^(7*n)/n + 1/6*a^8*x^(6*n)/n","A",0
2570,1,135,0,0.589711," ","integrate(x^(-1+5*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","\frac{b^{8} x^{13 \, n}}{13 \, n} + \frac{2 \, a b^{7} x^{12 \, n}}{3 \, n} + \frac{28 \, a^{2} b^{6} x^{11 \, n}}{11 \, n} + \frac{28 \, a^{3} b^{5} x^{10 \, n}}{5 \, n} + \frac{70 \, a^{4} b^{4} x^{9 \, n}}{9 \, n} + \frac{7 \, a^{5} b^{3} x^{8 \, n}}{n} + \frac{4 \, a^{6} b^{2} x^{7 \, n}}{n} + \frac{4 \, a^{7} b x^{6 \, n}}{3 \, n} + \frac{a^{8} x^{5 \, n}}{5 \, n}"," ",0,"1/13*b^8*x^(13*n)/n + 2/3*a*b^7*x^(12*n)/n + 28/11*a^2*b^6*x^(11*n)/n + 28/5*a^3*b^5*x^(10*n)/n + 70/9*a^4*b^4*x^(9*n)/n + 7*a^5*b^3*x^(8*n)/n + 4*a^6*b^2*x^(7*n)/n + 4/3*a^7*b*x^(6*n)/n + 1/5*a^8*x^(5*n)/n","A",0
2571,1,135,0,0.472574," ","integrate(x^(-1+4*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","\frac{b^{8} x^{12 \, n}}{12 \, n} + \frac{8 \, a b^{7} x^{11 \, n}}{11 \, n} + \frac{14 \, a^{2} b^{6} x^{10 \, n}}{5 \, n} + \frac{56 \, a^{3} b^{5} x^{9 \, n}}{9 \, n} + \frac{35 \, a^{4} b^{4} x^{8 \, n}}{4 \, n} + \frac{8 \, a^{5} b^{3} x^{7 \, n}}{n} + \frac{14 \, a^{6} b^{2} x^{6 \, n}}{3 \, n} + \frac{8 \, a^{7} b x^{5 \, n}}{5 \, n} + \frac{a^{8} x^{4 \, n}}{4 \, n}"," ",0,"1/12*b^8*x^(12*n)/n + 8/11*a*b^7*x^(11*n)/n + 14/5*a^2*b^6*x^(10*n)/n + 56/9*a^3*b^5*x^(9*n)/n + 35/4*a^4*b^4*x^(8*n)/n + 8*a^5*b^3*x^(7*n)/n + 14/3*a^6*b^2*x^(6*n)/n + 8/5*a^7*b*x^(5*n)/n + 1/4*a^8*x^(4*n)/n","A",0
2572,1,135,0,0.463482," ","integrate(x^(-1+3*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","\frac{b^{8} x^{11 \, n}}{11 \, n} + \frac{4 \, a b^{7} x^{10 \, n}}{5 \, n} + \frac{28 \, a^{2} b^{6} x^{9 \, n}}{9 \, n} + \frac{7 \, a^{3} b^{5} x^{8 \, n}}{n} + \frac{10 \, a^{4} b^{4} x^{7 \, n}}{n} + \frac{28 \, a^{5} b^{3} x^{6 \, n}}{3 \, n} + \frac{28 \, a^{6} b^{2} x^{5 \, n}}{5 \, n} + \frac{2 \, a^{7} b x^{4 \, n}}{n} + \frac{a^{8} x^{3 \, n}}{3 \, n}"," ",0,"1/11*b^8*x^(11*n)/n + 4/5*a*b^7*x^(10*n)/n + 28/9*a^2*b^6*x^(9*n)/n + 7*a^3*b^5*x^(8*n)/n + 10*a^4*b^4*x^(7*n)/n + 28/3*a^5*b^3*x^(6*n)/n + 28/5*a^6*b^2*x^(5*n)/n + 2*a^7*b*x^(4*n)/n + 1/3*a^8*x^(3*n)/n","B",0
2573,1,135,0,0.499463," ","integrate(x^(-1+2*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","\frac{b^{8} x^{10 \, n}}{10 \, n} + \frac{8 \, a b^{7} x^{9 \, n}}{9 \, n} + \frac{7 \, a^{2} b^{6} x^{8 \, n}}{2 \, n} + \frac{8 \, a^{3} b^{5} x^{7 \, n}}{n} + \frac{35 \, a^{4} b^{4} x^{6 \, n}}{3 \, n} + \frac{56 \, a^{5} b^{3} x^{5 \, n}}{5 \, n} + \frac{7 \, a^{6} b^{2} x^{4 \, n}}{n} + \frac{8 \, a^{7} b x^{3 \, n}}{3 \, n} + \frac{a^{8} x^{2 \, n}}{2 \, n}"," ",0,"1/10*b^8*x^(10*n)/n + 8/9*a*b^7*x^(9*n)/n + 7/2*a^2*b^6*x^(8*n)/n + 8*a^3*b^5*x^(7*n)/n + 35/3*a^4*b^4*x^(6*n)/n + 56/5*a^5*b^3*x^(5*n)/n + 7*a^6*b^2*x^(4*n)/n + 8/3*a^7*b*x^(3*n)/n + 1/2*a^8*x^(2*n)/n","B",0
2574,1,17,0,0.458791," ","integrate(x^(-1+n)*(a+b*x^n)^8,x, algorithm=""maxima"")","\frac{{\left(b x^{n} + a\right)}^{9}}{9 \, b n}"," ",0,"1/9*(b*x^n + a)^9/(b*n)","A",0
2575,1,113,0,0.540247," ","integrate((a+b*x^n)^8/x,x, algorithm=""maxima"")","\frac{a^{8} \log\left(x^{n}\right)}{n} + \frac{105 \, b^{8} x^{8 \, n} + 960 \, a b^{7} x^{7 \, n} + 3920 \, a^{2} b^{6} x^{6 \, n} + 9408 \, a^{3} b^{5} x^{5 \, n} + 14700 \, a^{4} b^{4} x^{4 \, n} + 15680 \, a^{5} b^{3} x^{3 \, n} + 11760 \, a^{6} b^{2} x^{2 \, n} + 6720 \, a^{7} b x^{n}}{840 \, n}"," ",0,"a^8*log(x^n)/n + 1/840*(105*b^8*x^(8*n) + 960*a*b^7*x^(7*n) + 3920*a^2*b^6*x^(6*n) + 9408*a^3*b^5*x^(5*n) + 14700*a^4*b^4*x^(4*n) + 15680*a^5*b^3*x^(3*n) + 11760*a^6*b^2*x^(2*n) + 6720*a^7*b*x^n)/n","A",0
2576,1,127,0,0.504207," ","integrate(x^(-1-n)*(a+b*x^n)^8,x, algorithm=""maxima"")","8 \, a^{7} b \log\left(x\right) + \frac{b^{8} x^{7 \, n}}{7 \, n} + \frac{4 \, a b^{7} x^{6 \, n}}{3 \, n} + \frac{28 \, a^{2} b^{6} x^{5 \, n}}{5 \, n} + \frac{14 \, a^{3} b^{5} x^{4 \, n}}{n} + \frac{70 \, a^{4} b^{4} x^{3 \, n}}{3 \, n} + \frac{28 \, a^{5} b^{3} x^{2 \, n}}{n} + \frac{28 \, a^{6} b^{2} x^{n}}{n} - \frac{a^{8}}{n x^{n}}"," ",0,"8*a^7*b*log(x) + 1/7*b^8*x^(7*n)/n + 4/3*a*b^7*x^(6*n)/n + 28/5*a^2*b^6*x^(5*n)/n + 14*a^3*b^5*x^(4*n)/n + 70/3*a^4*b^4*x^(3*n)/n + 28*a^5*b^3*x^(2*n)/n + 28*a^6*b^2*x^n/n - a^8/(n*x^n)","A",0
2577,1,129,0,0.517372," ","integrate(x^(-1-2*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","28 \, a^{6} b^{2} \log\left(x\right) + \frac{b^{8} x^{6 \, n}}{6 \, n} + \frac{8 \, a b^{7} x^{5 \, n}}{5 \, n} + \frac{7 \, a^{2} b^{6} x^{4 \, n}}{n} + \frac{56 \, a^{3} b^{5} x^{3 \, n}}{3 \, n} + \frac{35 \, a^{4} b^{4} x^{2 \, n}}{n} + \frac{56 \, a^{5} b^{3} x^{n}}{n} - \frac{a^{8}}{2 \, n x^{2 \, n}} - \frac{8 \, a^{7} b}{n x^{n}}"," ",0,"28*a^6*b^2*log(x) + 1/6*b^8*x^(6*n)/n + 8/5*a*b^7*x^(5*n)/n + 7*a^2*b^6*x^(4*n)/n + 56/3*a^3*b^5*x^(3*n)/n + 35*a^4*b^4*x^(2*n)/n + 56*a^5*b^3*x^n/n - 1/2*a^8/(n*x^(2*n)) - 8*a^7*b/(n*x^n)","A",0
2578,1,131,0,0.613429," ","integrate(x^(-1-3*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","56 \, a^{5} b^{3} \log\left(x\right) + \frac{b^{8} x^{5 \, n}}{5 \, n} + \frac{2 \, a b^{7} x^{4 \, n}}{n} + \frac{28 \, a^{2} b^{6} x^{3 \, n}}{3 \, n} + \frac{28 \, a^{3} b^{5} x^{2 \, n}}{n} + \frac{70 \, a^{4} b^{4} x^{n}}{n} - \frac{a^{8}}{3 \, n x^{3 \, n}} - \frac{4 \, a^{7} b}{n x^{2 \, n}} - \frac{28 \, a^{6} b^{2}}{n x^{n}}"," ",0,"56*a^5*b^3*log(x) + 1/5*b^8*x^(5*n)/n + 2*a*b^7*x^(4*n)/n + 28/3*a^2*b^6*x^(3*n)/n + 28*a^3*b^5*x^(2*n)/n + 70*a^4*b^4*x^n/n - 1/3*a^8/(n*x^(3*n)) - 4*a^7*b/(n*x^(2*n)) - 28*a^6*b^2/(n*x^n)","A",0
2579,1,133,0,0.530427," ","integrate(x^(-1-4*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","70 \, a^{4} b^{4} \log\left(x\right) + \frac{b^{8} x^{4 \, n}}{4 \, n} + \frac{8 \, a b^{7} x^{3 \, n}}{3 \, n} + \frac{14 \, a^{2} b^{6} x^{2 \, n}}{n} + \frac{56 \, a^{3} b^{5} x^{n}}{n} - \frac{a^{8}}{4 \, n x^{4 \, n}} - \frac{8 \, a^{7} b}{3 \, n x^{3 \, n}} - \frac{14 \, a^{6} b^{2}}{n x^{2 \, n}} - \frac{56 \, a^{5} b^{3}}{n x^{n}}"," ",0,"70*a^4*b^4*log(x) + 1/4*b^8*x^(4*n)/n + 8/3*a*b^7*x^(3*n)/n + 14*a^2*b^6*x^(2*n)/n + 56*a^3*b^5*x^n/n - 1/4*a^8/(n*x^(4*n)) - 8/3*a^7*b/(n*x^(3*n)) - 14*a^6*b^2/(n*x^(2*n)) - 56*a^5*b^3/(n*x^n)","A",0
2580,1,135,0,0.652388," ","integrate(x^(-1-5*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","56 \, a^{3} b^{5} \log\left(x\right) + \frac{b^{8} x^{3 \, n}}{3 \, n} + \frac{4 \, a b^{7} x^{2 \, n}}{n} + \frac{28 \, a^{2} b^{6} x^{n}}{n} - \frac{a^{8}}{5 \, n x^{5 \, n}} - \frac{2 \, a^{7} b}{n x^{4 \, n}} - \frac{28 \, a^{6} b^{2}}{3 \, n x^{3 \, n}} - \frac{28 \, a^{5} b^{3}}{n x^{2 \, n}} - \frac{70 \, a^{4} b^{4}}{n x^{n}}"," ",0,"56*a^3*b^5*log(x) + 1/3*b^8*x^(3*n)/n + 4*a*b^7*x^(2*n)/n + 28*a^2*b^6*x^n/n - 1/5*a^8/(n*x^(5*n)) - 2*a^7*b/(n*x^(4*n)) - 28/3*a^6*b^2/(n*x^(3*n)) - 28*a^5*b^3/(n*x^(2*n)) - 70*a^4*b^4/(n*x^n)","A",0
2581,1,137,0,0.542562," ","integrate(x^(-1-6*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","28 \, a^{2} b^{6} \log\left(x\right) + \frac{b^{8} x^{2 \, n}}{2 \, n} + \frac{8 \, a b^{7} x^{n}}{n} - \frac{a^{8}}{6 \, n x^{6 \, n}} - \frac{8 \, a^{7} b}{5 \, n x^{5 \, n}} - \frac{7 \, a^{6} b^{2}}{n x^{4 \, n}} - \frac{56 \, a^{5} b^{3}}{3 \, n x^{3 \, n}} - \frac{35 \, a^{4} b^{4}}{n x^{2 \, n}} - \frac{56 \, a^{3} b^{5}}{n x^{n}}"," ",0,"28*a^2*b^6*log(x) + 1/2*b^8*x^(2*n)/n + 8*a*b^7*x^n/n - 1/6*a^8/(n*x^(6*n)) - 8/5*a^7*b/(n*x^(5*n)) - 7*a^6*b^2/(n*x^(4*n)) - 56/3*a^5*b^3/(n*x^(3*n)) - 35*a^4*b^4/(n*x^(2*n)) - 56*a^3*b^5/(n*x^n)","A",0
2582,1,138,0,0.588047," ","integrate(x^(-1-7*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","8 \, a b^{7} \log\left(x\right) + \frac{b^{8} x^{n}}{n} - \frac{a^{8}}{7 \, n x^{7 \, n}} - \frac{4 \, a^{7} b}{3 \, n x^{6 \, n}} - \frac{28 \, a^{6} b^{2}}{5 \, n x^{5 \, n}} - \frac{14 \, a^{5} b^{3}}{n x^{4 \, n}} - \frac{70 \, a^{4} b^{4}}{3 \, n x^{3 \, n}} - \frac{28 \, a^{3} b^{5}}{n x^{2 \, n}} - \frac{28 \, a^{2} b^{6}}{n x^{n}}"," ",0,"8*a*b^7*log(x) + b^8*x^n/n - 1/7*a^8/(n*x^(7*n)) - 4/3*a^7*b/(n*x^(6*n)) - 28/5*a^6*b^2/(n*x^(5*n)) - 14*a^5*b^3/(n*x^(4*n)) - 70/3*a^4*b^4/(n*x^(3*n)) - 28*a^3*b^5/(n*x^(2*n)) - 28*a^2*b^6/(n*x^n)","A",0
2583,1,142,0,0.468408," ","integrate(x^(-1-8*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","b^{8} \log\left(x\right) - \frac{a^{8}}{8 \, n x^{8 \, n}} - \frac{8 \, a^{7} b}{7 \, n x^{7 \, n}} - \frac{14 \, a^{6} b^{2}}{3 \, n x^{6 \, n}} - \frac{56 \, a^{5} b^{3}}{5 \, n x^{5 \, n}} - \frac{35 \, a^{4} b^{4}}{2 \, n x^{4 \, n}} - \frac{56 \, a^{3} b^{5}}{3 \, n x^{3 \, n}} - \frac{14 \, a^{2} b^{6}}{n x^{2 \, n}} - \frac{8 \, a b^{7}}{n x^{n}}"," ",0,"b^8*log(x) - 1/8*a^8/(n*x^(8*n)) - 8/7*a^7*b/(n*x^(7*n)) - 14/3*a^6*b^2/(n*x^(6*n)) - 56/5*a^5*b^3/(n*x^(5*n)) - 35/2*a^4*b^4/(n*x^(4*n)) - 56/3*a^3*b^5/(n*x^(3*n)) - 14*a^2*b^6/(n*x^(2*n)) - 8*a*b^7/(n*x^n)","A",0
2584,1,151,0,0.495666," ","integrate(x^(-1-9*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","-\frac{a^{8}}{9 \, n x^{9 \, n}} - \frac{a^{7} b}{n x^{8 \, n}} - \frac{4 \, a^{6} b^{2}}{n x^{7 \, n}} - \frac{28 \, a^{5} b^{3}}{3 \, n x^{6 \, n}} - \frac{14 \, a^{4} b^{4}}{n x^{5 \, n}} - \frac{14 \, a^{3} b^{5}}{n x^{4 \, n}} - \frac{28 \, a^{2} b^{6}}{3 \, n x^{3 \, n}} - \frac{4 \, a b^{7}}{n x^{2 \, n}} - \frac{b^{8}}{n x^{n}}"," ",0,"-1/9*a^8/(n*x^(9*n)) - a^7*b/(n*x^(8*n)) - 4*a^6*b^2/(n*x^(7*n)) - 28/3*a^5*b^3/(n*x^(6*n)) - 14*a^4*b^4/(n*x^(5*n)) - 14*a^3*b^5/(n*x^(4*n)) - 28/3*a^2*b^6/(n*x^(3*n)) - 4*a*b^7/(n*x^(2*n)) - b^8/(n*x^n)","B",0
2585,1,153,0,0.583229," ","integrate(x^(-1-10*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","-\frac{a^{8}}{10 \, n x^{10 \, n}} - \frac{8 \, a^{7} b}{9 \, n x^{9 \, n}} - \frac{7 \, a^{6} b^{2}}{2 \, n x^{8 \, n}} - \frac{8 \, a^{5} b^{3}}{n x^{7 \, n}} - \frac{35 \, a^{4} b^{4}}{3 \, n x^{6 \, n}} - \frac{56 \, a^{3} b^{5}}{5 \, n x^{5 \, n}} - \frac{7 \, a^{2} b^{6}}{n x^{4 \, n}} - \frac{8 \, a b^{7}}{3 \, n x^{3 \, n}} - \frac{b^{8}}{2 \, n x^{2 \, n}}"," ",0,"-1/10*a^8/(n*x^(10*n)) - 8/9*a^7*b/(n*x^(9*n)) - 7/2*a^6*b^2/(n*x^(8*n)) - 8*a^5*b^3/(n*x^(7*n)) - 35/3*a^4*b^4/(n*x^(6*n)) - 56/5*a^3*b^5/(n*x^(5*n)) - 7*a^2*b^6/(n*x^(4*n)) - 8/3*a*b^7/(n*x^(3*n)) - 1/2*b^8/(n*x^(2*n))","B",0
2586,1,153,0,0.605249," ","integrate(x^(-1-11*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","-\frac{a^{8}}{11 \, n x^{11 \, n}} - \frac{4 \, a^{7} b}{5 \, n x^{10 \, n}} - \frac{28 \, a^{6} b^{2}}{9 \, n x^{9 \, n}} - \frac{7 \, a^{5} b^{3}}{n x^{8 \, n}} - \frac{10 \, a^{4} b^{4}}{n x^{7 \, n}} - \frac{28 \, a^{3} b^{5}}{3 \, n x^{6 \, n}} - \frac{28 \, a^{2} b^{6}}{5 \, n x^{5 \, n}} - \frac{2 \, a b^{7}}{n x^{4 \, n}} - \frac{b^{8}}{3 \, n x^{3 \, n}}"," ",0,"-1/11*a^8/(n*x^(11*n)) - 4/5*a^7*b/(n*x^(10*n)) - 28/9*a^6*b^2/(n*x^(9*n)) - 7*a^5*b^3/(n*x^(8*n)) - 10*a^4*b^4/(n*x^(7*n)) - 28/3*a^3*b^5/(n*x^(6*n)) - 28/5*a^2*b^6/(n*x^(5*n)) - 2*a*b^7/(n*x^(4*n)) - 1/3*b^8/(n*x^(3*n))","A",0
2587,1,153,0,0.530640," ","integrate(x^(-1-12*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","-\frac{a^{8}}{12 \, n x^{12 \, n}} - \frac{8 \, a^{7} b}{11 \, n x^{11 \, n}} - \frac{14 \, a^{6} b^{2}}{5 \, n x^{10 \, n}} - \frac{56 \, a^{5} b^{3}}{9 \, n x^{9 \, n}} - \frac{35 \, a^{4} b^{4}}{4 \, n x^{8 \, n}} - \frac{8 \, a^{3} b^{5}}{n x^{7 \, n}} - \frac{14 \, a^{2} b^{6}}{3 \, n x^{6 \, n}} - \frac{8 \, a b^{7}}{5 \, n x^{5 \, n}} - \frac{b^{8}}{4 \, n x^{4 \, n}}"," ",0,"-1/12*a^8/(n*x^(12*n)) - 8/11*a^7*b/(n*x^(11*n)) - 14/5*a^6*b^2/(n*x^(10*n)) - 56/9*a^5*b^3/(n*x^(9*n)) - 35/4*a^4*b^4/(n*x^(8*n)) - 8*a^3*b^5/(n*x^(7*n)) - 14/3*a^2*b^6/(n*x^(6*n)) - 8/5*a*b^7/(n*x^(5*n)) - 1/4*b^8/(n*x^(4*n))","A",0
2588,1,153,0,0.505756," ","integrate(x^(-1-13*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","-\frac{a^{8}}{13 \, n x^{13 \, n}} - \frac{2 \, a^{7} b}{3 \, n x^{12 \, n}} - \frac{28 \, a^{6} b^{2}}{11 \, n x^{11 \, n}} - \frac{28 \, a^{5} b^{3}}{5 \, n x^{10 \, n}} - \frac{70 \, a^{4} b^{4}}{9 \, n x^{9 \, n}} - \frac{7 \, a^{3} b^{5}}{n x^{8 \, n}} - \frac{4 \, a^{2} b^{6}}{n x^{7 \, n}} - \frac{4 \, a b^{7}}{3 \, n x^{6 \, n}} - \frac{b^{8}}{5 \, n x^{5 \, n}}"," ",0,"-1/13*a^8/(n*x^(13*n)) - 2/3*a^7*b/(n*x^(12*n)) - 28/11*a^6*b^2/(n*x^(11*n)) - 28/5*a^5*b^3/(n*x^(10*n)) - 70/9*a^4*b^4/(n*x^(9*n)) - 7*a^3*b^5/(n*x^(8*n)) - 4*a^2*b^6/(n*x^(7*n)) - 4/3*a*b^7/(n*x^(6*n)) - 1/5*b^8/(n*x^(5*n))","A",0
2589,1,153,0,0.562139," ","integrate(x^(-1-14*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","-\frac{a^{8}}{14 \, n x^{14 \, n}} - \frac{8 \, a^{7} b}{13 \, n x^{13 \, n}} - \frac{7 \, a^{6} b^{2}}{3 \, n x^{12 \, n}} - \frac{56 \, a^{5} b^{3}}{11 \, n x^{11 \, n}} - \frac{7 \, a^{4} b^{4}}{n x^{10 \, n}} - \frac{56 \, a^{3} b^{5}}{9 \, n x^{9 \, n}} - \frac{7 \, a^{2} b^{6}}{2 \, n x^{8 \, n}} - \frac{8 \, a b^{7}}{7 \, n x^{7 \, n}} - \frac{b^{8}}{6 \, n x^{6 \, n}}"," ",0,"-1/14*a^8/(n*x^(14*n)) - 8/13*a^7*b/(n*x^(13*n)) - 7/3*a^6*b^2/(n*x^(12*n)) - 56/11*a^5*b^3/(n*x^(11*n)) - 7*a^4*b^4/(n*x^(10*n)) - 56/9*a^3*b^5/(n*x^(9*n)) - 7/2*a^2*b^6/(n*x^(8*n)) - 8/7*a*b^7/(n*x^(7*n)) - 1/6*b^8/(n*x^(6*n))","A",0
2590,1,153,0,0.540465," ","integrate(x^(-1-15*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","-\frac{a^{8}}{15 \, n x^{15 \, n}} - \frac{4 \, a^{7} b}{7 \, n x^{14 \, n}} - \frac{28 \, a^{6} b^{2}}{13 \, n x^{13 \, n}} - \frac{14 \, a^{5} b^{3}}{3 \, n x^{12 \, n}} - \frac{70 \, a^{4} b^{4}}{11 \, n x^{11 \, n}} - \frac{28 \, a^{3} b^{5}}{5 \, n x^{10 \, n}} - \frac{28 \, a^{2} b^{6}}{9 \, n x^{9 \, n}} - \frac{a b^{7}}{n x^{8 \, n}} - \frac{b^{8}}{7 \, n x^{7 \, n}}"," ",0,"-1/15*a^8/(n*x^(15*n)) - 4/7*a^7*b/(n*x^(14*n)) - 28/13*a^6*b^2/(n*x^(13*n)) - 14/3*a^5*b^3/(n*x^(12*n)) - 70/11*a^4*b^4/(n*x^(11*n)) - 28/5*a^3*b^5/(n*x^(10*n)) - 28/9*a^2*b^6/(n*x^(9*n)) - a*b^7/(n*x^(8*n)) - 1/7*b^8/(n*x^(7*n))","A",0
2591,1,17,0,0.554886," ","integrate(x^(-1+n)*(a+b*x^n)^16,x, algorithm=""maxima"")","\frac{{\left(b x^{n} + a\right)}^{17}}{17 \, b n}"," ",0,"1/17*(b*x^n + a)^17/(b*n)","A",0
2592,1,14,0,0.520586," ","integrate(x^12*(b*x^13+a)^12,x, algorithm=""maxima"")","\frac{{\left(b x^{13} + a\right)}^{13}}{169 \, b}"," ",0,"1/169*(b*x^13 + a)^13/b","A",0
2593,1,14,0,0.469392," ","integrate(x^24*(b*x^25+a)^12,x, algorithm=""maxima"")","\frac{{\left(b x^{25} + a\right)}^{13}}{325 \, b}"," ",0,"1/325*(b*x^25 + a)^13/b","A",0
2594,1,14,0,0.492292," ","integrate(x^36*(b*x^37+a)^12,x, algorithm=""maxima"")","\frac{{\left(b x^{37} + a\right)}^{13}}{481 \, b}"," ",0,"1/481*(b*x^37 + a)^13/b","A",0
2595,1,25,0,0.440078," ","integrate(x^(12*m)*(a+b*x^(1+12*m))^12,x, algorithm=""maxima"")","\frac{{\left(b x^{12 \, m + 1} + a\right)}^{13}}{13 \, b {\left(12 \, m + 1\right)}}"," ",0,"1/13*(b*x^(12*m + 1) + a)^13/(b*(12*m + 1))","A",0
2596,1,25,0,0.591758," ","integrate(x^(12*m)*(a+b*x^(1+12*m))^12,x, algorithm=""maxima"")","\frac{{\left(b x^{12 \, m + 1} + a\right)}^{13}}{13 \, b {\left(12 \, m + 1\right)}}"," ",0,"1/13*(b*x^(12*m + 1) + a)^13/(b*(12*m + 1))","A",0
2597,1,72,0,0.566560," ","integrate(x^(-1+5*n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{a^{4} \log\left(\frac{b x^{n} + a}{b}\right)}{b^{5} n} + \frac{3 \, b^{3} x^{4 \, n} - 4 \, a b^{2} x^{3 \, n} + 6 \, a^{2} b x^{2 \, n} - 12 \, a^{3} x^{n}}{12 \, b^{4} n}"," ",0,"a^4*log((b*x^n + a)/b)/(b^5*n) + 1/12*(3*b^3*x^(4*n) - 4*a*b^2*x^(3*n) + 6*a^2*b*x^(2*n) - 12*a^3*x^n)/(b^4*n)","A",0
2598,1,60,0,0.502469," ","integrate(x^(-1+4*n)/(a+b*x^n),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(\frac{b x^{n} + a}{b}\right)}{b^{4} n} + \frac{2 \, b^{2} x^{3 \, n} - 3 \, a b x^{2 \, n} + 6 \, a^{2} x^{n}}{6 \, b^{3} n}"," ",0,"-a^3*log((b*x^n + a)/b)/(b^4*n) + 1/6*(2*b^2*x^(3*n) - 3*a*b*x^(2*n) + 6*a^2*x^n)/(b^3*n)","A",0
2599,1,45,0,0.532871," ","integrate(x^(-1+3*n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{a^{2} \log\left(\frac{b x^{n} + a}{b}\right)}{b^{3} n} + \frac{b x^{2 \, n} - 2 \, a x^{n}}{2 \, b^{2} n}"," ",0,"a^2*log((b*x^n + a)/b)/(b^3*n) + 1/2*(b*x^(2*n) - 2*a*x^n)/(b^2*n)","A",0
2600,1,32,0,0.596354," ","integrate(x^(-1+2*n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{x^{n}}{b n} - \frac{a \log\left(\frac{b x^{n} + a}{b}\right)}{b^{2} n}"," ",0,"x^n/(b*n) - a*log((b*x^n + a)/b)/(b^2*n)","A",0
2601,1,15,0,0.635439," ","integrate(x^(-1+n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{\log\left(b x^{n} + a\right)}{b n}"," ",0,"log(b*x^n + a)/(b*n)","A",0
2602,1,28,0,0.598301," ","integrate(1/x/(a+b*x^n),x, algorithm=""maxima"")","-\frac{\log\left(b x^{n} + a\right)}{a n} + \frac{\log\left(x^{n}\right)}{a n}"," ",0,"-log(b*x^n + a)/(a*n) + log(x^n)/(a*n)","A",0
2603,1,42,0,0.480351," ","integrate(x^(-1-n)/(a+b*x^n),x, algorithm=""maxima"")","-\frac{b \log\left(x\right)}{a^{2}} + \frac{b \log\left(\frac{b x^{n} + a}{b}\right)}{a^{2} n} - \frac{1}{a n x^{n}}"," ",0,"-b*log(x)/a^2 + b*log((b*x^n + a)/b)/(a^2*n) - 1/(a*n*x^n)","A",0
2604,1,58,0,0.669093," ","integrate(x^(-1-2*n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{b^{2} \log\left(x\right)}{a^{3}} - \frac{b^{2} \log\left(\frac{b x^{n} + a}{b}\right)}{a^{3} n} + \frac{2 \, b x^{n} - a}{2 \, a^{2} n x^{2 \, n}}"," ",0,"b^2*log(x)/a^3 - b^2*log((b*x^n + a)/b)/(a^3*n) + 1/2*(2*b*x^n - a)/(a^2*n*x^(2*n))","A",0
2605,1,71,0,0.508027," ","integrate(x^(-1-3*n)/(a+b*x^n),x, algorithm=""maxima"")","-\frac{b^{3} \log\left(x\right)}{a^{4}} + \frac{b^{3} \log\left(\frac{b x^{n} + a}{b}\right)}{a^{4} n} - \frac{6 \, b^{2} x^{2 \, n} - 3 \, a b x^{n} + 2 \, a^{2}}{6 \, a^{3} n x^{3 \, n}}"," ",0,"-b^3*log(x)/a^4 + b^3*log((b*x^n + a)/b)/(a^4*n) - 1/6*(6*b^2*x^(2*n) - 3*a*b*x^n + 2*a^2)/(a^3*n*x^(3*n))","A",0
2606,1,72,0,0.566405," ","integrate(x^(-1+5*n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{a^{4} \log\left(\frac{b x^{n} + a}{b}\right)}{b^{5} n} + \frac{3 \, b^{3} x^{4 \, n} - 4 \, a b^{2} x^{3 \, n} + 6 \, a^{2} b x^{2 \, n} - 12 \, a^{3} x^{n}}{12 \, b^{4} n}"," ",0,"a^4*log((b*x^n + a)/b)/(b^5*n) + 1/12*(3*b^3*x^(4*n) - 4*a*b^2*x^(3*n) + 6*a^2*b*x^(2*n) - 12*a^3*x^n)/(b^4*n)","A",0
2607,1,60,0,0.625100," ","integrate(x^(-1+4*n)/(a+b*x^n),x, algorithm=""maxima"")","-\frac{a^{3} \log\left(\frac{b x^{n} + a}{b}\right)}{b^{4} n} + \frac{2 \, b^{2} x^{3 \, n} - 3 \, a b x^{2 \, n} + 6 \, a^{2} x^{n}}{6 \, b^{3} n}"," ",0,"-a^3*log((b*x^n + a)/b)/(b^4*n) + 1/6*(2*b^2*x^(3*n) - 3*a*b*x^(2*n) + 6*a^2*x^n)/(b^3*n)","A",0
2608,1,45,0,0.502426," ","integrate(x^(-1+3*n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{a^{2} \log\left(\frac{b x^{n} + a}{b}\right)}{b^{3} n} + \frac{b x^{2 \, n} - 2 \, a x^{n}}{2 \, b^{2} n}"," ",0,"a^2*log((b*x^n + a)/b)/(b^3*n) + 1/2*(b*x^(2*n) - 2*a*x^n)/(b^2*n)","A",0
2609,1,32,0,0.631423," ","integrate(x^(-1+2*n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{x^{n}}{b n} - \frac{a \log\left(\frac{b x^{n} + a}{b}\right)}{b^{2} n}"," ",0,"x^n/(b*n) - a*log((b*x^n + a)/b)/(b^2*n)","A",0
2610,1,15,0,0.528237," ","integrate(x^(-1+n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{\log\left(b x^{n} + a\right)}{b n}"," ",0,"log(b*x^n + a)/(b*n)","A",0
2611,1,28,0,0.736185," ","integrate(1/x/(a+b*x^n),x, algorithm=""maxima"")","-\frac{\log\left(b x^{n} + a\right)}{a n} + \frac{\log\left(x^{n}\right)}{a n}"," ",0,"-log(b*x^n + a)/(a*n) + log(x^n)/(a*n)","A",0
2612,1,42,0,0.692996," ","integrate(x^(-1-n)/(a+b*x^n),x, algorithm=""maxima"")","-\frac{b \log\left(x\right)}{a^{2}} + \frac{b \log\left(\frac{b x^{n} + a}{b}\right)}{a^{2} n} - \frac{1}{a n x^{n}}"," ",0,"-b*log(x)/a^2 + b*log((b*x^n + a)/b)/(a^2*n) - 1/(a*n*x^n)","A",0
2613,1,58,0,0.656097," ","integrate(x^(-1-2*n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{b^{2} \log\left(x\right)}{a^{3}} - \frac{b^{2} \log\left(\frac{b x^{n} + a}{b}\right)}{a^{3} n} + \frac{2 \, b x^{n} - a}{2 \, a^{2} n x^{2 \, n}}"," ",0,"b^2*log(x)/a^3 - b^2*log((b*x^n + a)/b)/(a^3*n) + 1/2*(2*b*x^n - a)/(a^2*n*x^(2*n))","A",0
2614,1,71,0,0.527551," ","integrate(x^(-1-3*n)/(a+b*x^n),x, algorithm=""maxima"")","-\frac{b^{3} \log\left(x\right)}{a^{4}} + \frac{b^{3} \log\left(\frac{b x^{n} + a}{b}\right)}{a^{4} n} - \frac{6 \, b^{2} x^{2 \, n} - 3 \, a b x^{n} + 2 \, a^{2}}{6 \, a^{3} n x^{3 \, n}}"," ",0,"-b^3*log(x)/a^4 + b^3*log((b*x^n + a)/b)/(a^4*n) - 1/6*(6*b^2*x^(2*n) - 3*a*b*x^n + 2*a^2)/(a^3*n*x^(3*n))","A",0
2615,1,63,0,0.492620," ","integrate(x^(-1+5*n)/(2+b*x^n),x, algorithm=""maxima"")","\frac{3 \, b^{3} x^{4 \, n} - 8 \, b^{2} x^{3 \, n} + 24 \, b x^{2 \, n} - 96 \, x^{n}}{12 \, b^{4} n} + \frac{16 \, \log\left(\frac{b x^{n} + 2}{b}\right)}{b^{5} n}"," ",0,"1/12*(3*b^3*x^(4*n) - 8*b^2*x^(3*n) + 24*b*x^(2*n) - 96*x^n)/(b^4*n) + 16*log((b*x^n + 2)/b)/(b^5*n)","A",0
2616,1,52,0,0.618740," ","integrate(x^(-1+4*n)/(2+b*x^n),x, algorithm=""maxima"")","\frac{b^{2} x^{3 \, n} - 3 \, b x^{2 \, n} + 12 \, x^{n}}{3 \, b^{3} n} - \frac{8 \, \log\left(\frac{b x^{n} + 2}{b}\right)}{b^{4} n}"," ",0,"1/3*(b^2*x^(3*n) - 3*b*x^(2*n) + 12*x^n)/(b^3*n) - 8*log((b*x^n + 2)/b)/(b^4*n)","A",0
2617,1,42,0,0.535187," ","integrate(x^(-1+3*n)/(2+b*x^n),x, algorithm=""maxima"")","\frac{b x^{2 \, n} - 4 \, x^{n}}{2 \, b^{2} n} + \frac{4 \, \log\left(\frac{b x^{n} + 2}{b}\right)}{b^{3} n}"," ",0,"1/2*(b*x^(2*n) - 4*x^n)/(b^2*n) + 4*log((b*x^n + 2)/b)/(b^3*n)","A",0
2618,1,31,0,0.663324," ","integrate(x^(-1+2*n)/(2+b*x^n),x, algorithm=""maxima"")","\frac{x^{n}}{b n} - \frac{2 \, \log\left(\frac{b x^{n} + 2}{b}\right)}{b^{2} n}"," ",0,"x^n/(b*n) - 2*log((b*x^n + 2)/b)/(b^2*n)","A",0
2619,1,15,0,0.704147," ","integrate(x^(-1+n)/(2+b*x^n),x, algorithm=""maxima"")","\frac{\log\left(b x^{n} + 2\right)}{b n}"," ",0,"log(b*x^n + 2)/(b*n)","A",0
2620,1,23,0,0.691764," ","integrate(1/x/(2+b*x^n),x, algorithm=""maxima"")","-\frac{\log\left(b x^{n} + 2\right)}{2 \, n} + \frac{\log\left(x^{n}\right)}{2 \, n}"," ",0,"-1/2*log(b*x^n + 2)/n + 1/2*log(x^n)/n","A",0
2621,1,34,0,0.476740," ","integrate(x^(-1-n)/(2+b*x^n),x, algorithm=""maxima"")","-\frac{1}{4} \, b \log\left(x\right) + \frac{b \log\left(\frac{b x^{n} + 2}{b}\right)}{4 \, n} - \frac{1}{2 \, n x^{n}}"," ",0,"-1/4*b*log(x) + 1/4*b*log((b*x^n + 2)/b)/n - 1/2/(n*x^n)","A",0
2622,1,47,0,0.551064," ","integrate(x^(-1-2*n)/(2+b*x^n),x, algorithm=""maxima"")","\frac{1}{8} \, b^{2} \log\left(x\right) - \frac{b^{2} \log\left(\frac{b x^{n} + 2}{b}\right)}{8 \, n} + \frac{b x^{n} - 1}{4 \, n x^{2 \, n}}"," ",0,"1/8*b^2*log(x) - 1/8*b^2*log((b*x^n + 2)/b)/n + 1/4*(b*x^n - 1)/(n*x^(2*n))","A",0
2623,1,58,0,0.507376," ","integrate(x^(-1-3*n)/(2+b*x^n),x, algorithm=""maxima"")","-\frac{1}{16} \, b^{3} \log\left(x\right) + \frac{b^{3} \log\left(\frac{b x^{n} + 2}{b}\right)}{16 \, n} - \frac{3 \, b^{2} x^{2 \, n} - 3 \, b x^{n} + 4}{24 \, n x^{3 \, n}}"," ",0,"-1/16*b^3*log(x) + 1/16*b^3*log((b*x^n + 2)/b)/n - 1/24*(3*b^2*x^(2*n) - 3*b*x^n + 4)/(n*x^(3*n))","A",0
2624,1,78,0,0.596278," ","integrate(x^(-1+4*n)/(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{b^{3} x^{3 \, n} - 3 \, a b^{2} x^{2 \, n} - 4 \, a^{2} b x^{n} + 2 \, a^{3}}{2 \, {\left(b^{5} n x^{n} + a b^{4} n\right)}} + \frac{3 \, a^{2} \log\left(\frac{b x^{n} + a}{b}\right)}{b^{4} n}"," ",0,"1/2*(b^3*x^(3*n) - 3*a*b^2*x^(2*n) - 4*a^2*b*x^n + 2*a^3)/(b^5*n*x^n + a*b^4*n) + 3*a^2*log((b*x^n + a)/b)/(b^4*n)","A",0
2625,1,61,0,0.505974," ","integrate(x^(-1+3*n)/(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{b^{2} x^{2 \, n} + a b x^{n} - a^{2}}{b^{4} n x^{n} + a b^{3} n} - \frac{2 \, a \log\left(\frac{b x^{n} + a}{b}\right)}{b^{3} n}"," ",0,"(b^2*x^(2*n) + a*b*x^n - a^2)/(b^4*n*x^n + a*b^3*n) - 2*a*log((b*x^n + a)/b)/(b^3*n)","A",0
2626,1,39,0,0.485375," ","integrate(x^(-1+2*n)/(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{a}{b^{3} n x^{n} + a b^{2} n} + \frac{\log\left(\frac{b x^{n} + a}{b}\right)}{b^{2} n}"," ",0,"a/(b^3*n*x^n + a*b^2*n) + log((b*x^n + a)/b)/(b^2*n)","A",0
2627,1,17,0,0.497391," ","integrate(x^(-1+n)/(a+b*x^n)^2,x, algorithm=""maxima"")","-\frac{1}{{\left(b x^{n} + a\right)} b n}"," ",0,"-1/((b*x^n + a)*b*n)","A",0
2628,1,43,0,0.545540," ","integrate(1/x/(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{1}{a b n x^{n} + a^{2} n} - \frac{\log\left(b x^{n} + a\right)}{a^{2} n} + \frac{\log\left(x^{n}\right)}{a^{2} n}"," ",0,"1/(a*b*n*x^n + a^2*n) - log(b*x^n + a)/(a^2*n) + log(x^n)/(a^2*n)","A",0
2629,1,62,0,0.617250," ","integrate(x^(-1-n)/(a+b*x^n)^2,x, algorithm=""maxima"")","-\frac{2 \, b x^{n} + a}{a^{2} b n x^{2 \, n} + a^{3} n x^{n}} - \frac{2 \, b \log\left(x\right)}{a^{3}} + \frac{2 \, b \log\left(\frac{b x^{n} + a}{b}\right)}{a^{3} n}"," ",0,"-(2*b*x^n + a)/(a^2*b*n*x^(2*n) + a^3*n*x^n) - 2*b*log(x)/a^3 + 2*b*log((b*x^n + a)/b)/(a^3*n)","A",0
2630,-2,0,0,0.000000," ","integrate(x^(-1-2*n)/(a+b*x^n)^2,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.","F(-2)",0
2631,1,94,0,0.550187," ","integrate(x^(-1-3*n)/(a+b*x^n)^2,x, algorithm=""maxima"")","-\frac{12 \, b^{3} x^{3 \, n} + 6 \, a b^{2} x^{2 \, n} - 2 \, a^{2} b x^{n} + a^{3}}{3 \, {\left(a^{4} b n x^{4 \, n} + a^{5} n x^{3 \, n}\right)}} - \frac{4 \, b^{3} \log\left(x\right)}{a^{5}} + \frac{4 \, b^{3} \log\left(\frac{b x^{n} + a}{b}\right)}{a^{5} n}"," ",0,"-1/3*(12*b^3*x^(3*n) + 6*a*b^2*x^(2*n) - 2*a^2*b*x^n + a^3)/(a^4*b*n*x^(4*n) + a^5*n*x^(3*n)) - 4*b^3*log(x)/a^5 + 4*b^3*log((b*x^n + a)/b)/(a^5*n)","A",0
2632,1,91,0,0.540288," ","integrate(x^(-1+4*n)/(a+b*x^n)^3,x, algorithm=""maxima"")","\frac{2 \, b^{3} x^{3 \, n} + 4 \, a b^{2} x^{2 \, n} - 4 \, a^{2} b x^{n} - 5 \, a^{3}}{2 \, {\left(b^{6} n x^{2 \, n} + 2 \, a b^{5} n x^{n} + a^{2} b^{4} n\right)}} - \frac{3 \, a \log\left(\frac{b x^{n} + a}{b}\right)}{b^{4} n}"," ",0,"1/2*(2*b^3*x^(3*n) + 4*a*b^2*x^(2*n) - 4*a^2*b*x^n - 5*a^3)/(b^6*n*x^(2*n) + 2*a*b^5*n*x^n + a^2*b^4*n) - 3*a*log((b*x^n + a)/b)/(b^4*n)","A",0
2633,1,66,0,0.579718," ","integrate(x^(-1+3*n)/(a+b*x^n)^3,x, algorithm=""maxima"")","\frac{4 \, a b x^{n} + 3 \, a^{2}}{2 \, {\left(b^{5} n x^{2 \, n} + 2 \, a b^{4} n x^{n} + a^{2} b^{3} n\right)}} + \frac{\log\left(\frac{b x^{n} + a}{b}\right)}{b^{3} n}"," ",0,"1/2*(4*a*b*x^n + 3*a^2)/(b^5*n*x^(2*n) + 2*a*b^4*n*x^n + a^2*b^3*n) + log((b*x^n + a)/b)/(b^3*n)","A",0
2634,1,41,0,0.502626," ","integrate(x^(-1+2*n)/(a+b*x^n)^3,x, algorithm=""maxima"")","-\frac{2 \, b x^{n} + a}{2 \, {\left(b^{4} n x^{2 \, n} + 2 \, a b^{3} n x^{n} + a^{2} b^{2} n\right)}}"," ",0,"-1/2*(2*b*x^n + a)/(b^4*n*x^(2*n) + 2*a*b^3*n*x^n + a^2*b^2*n)","A",0
2635,1,17,0,0.581785," ","integrate(x^(-1+n)/(a+b*x^n)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(b x^{n} + a\right)}^{2} b n}"," ",0,"-1/2/((b*x^n + a)^2*b*n)","A",0
2636,1,71,0,0.595019," ","integrate(1/x/(a+b*x^n)^3,x, algorithm=""maxima"")","\frac{2 \, b x^{n} + 3 \, a}{2 \, {\left(a^{2} b^{2} n x^{2 \, n} + 2 \, a^{3} b n x^{n} + a^{4} n\right)}} - \frac{\log\left(b x^{n} + a\right)}{a^{3} n} + \frac{\log\left(x^{n}\right)}{a^{3} n}"," ",0,"1/2*(2*b*x^n + 3*a)/(a^2*b^2*n*x^(2*n) + 2*a^3*b*n*x^n + a^4*n) - log(b*x^n + a)/(a^3*n) + log(x^n)/(a^3*n)","A",0
2637,1,91,0,0.556335," ","integrate(x^(-1-n)/(a+b*x^n)^3,x, algorithm=""maxima"")","-\frac{6 \, b^{2} x^{2 \, n} + 9 \, a b x^{n} + 2 \, a^{2}}{2 \, {\left(a^{3} b^{2} n x^{3 \, n} + 2 \, a^{4} b n x^{2 \, n} + a^{5} n x^{n}\right)}} - \frac{3 \, b \log\left(x\right)}{a^{4}} + \frac{3 \, b \log\left(\frac{b x^{n} + a}{b}\right)}{a^{4} n}"," ",0,"-1/2*(6*b^2*x^(2*n) + 9*a*b*x^n + 2*a^2)/(a^3*b^2*n*x^(3*n) + 2*a^4*b*n*x^(2*n) + a^5*n*x^n) - 3*b*log(x)/a^4 + 3*b*log((b*x^n + a)/b)/(a^4*n)","A",0
2638,1,110,0,0.485577," ","integrate(x^(-1-2*n)/(a+b*x^n)^3,x, algorithm=""maxima"")","\frac{12 \, b^{3} x^{3 \, n} + 18 \, a b^{2} x^{2 \, n} + 4 \, a^{2} b x^{n} - a^{3}}{2 \, {\left(a^{4} b^{2} n x^{4 \, n} + 2 \, a^{5} b n x^{3 \, n} + a^{6} n x^{2 \, n}\right)}} + \frac{6 \, b^{2} \log\left(x\right)}{a^{5}} - \frac{6 \, b^{2} \log\left(\frac{b x^{n} + a}{b}\right)}{a^{5} n}"," ",0,"1/2*(12*b^3*x^(3*n) + 18*a*b^2*x^(2*n) + 4*a^2*b*x^n - a^3)/(a^4*b^2*n*x^(4*n) + 2*a^5*b*n*x^(3*n) + a^6*n*x^(2*n)) + 6*b^2*log(x)/a^5 - 6*b^2*log((b*x^n + a)/b)/(a^5*n)","A",0
2639,0,0,0,0.000000," ","integrate(x^(-1-1/2*n)/(a+b*x^n),x, algorithm=""maxima"")","-b \int \frac{x^{\frac{1}{2} \, n}}{a b x x^{n} + a^{2} x}\,{d x} - \frac{2}{a n x^{\frac{1}{2} \, n}}"," ",0,"-b*integrate(x^(1/2*n)/(a*b*x*x^n + a^2*x), x) - 2/(a*n*x^(1/2*n))","F",0
2640,0,0,0,0.000000," ","integrate(x^(-1-2/3*n)/(a+b*x^n),x, algorithm=""maxima"")","-b \int \frac{x^{\frac{1}{3} \, n}}{a b x x^{n} + a^{2} x}\,{d x} - \frac{3}{2 \, a n x^{\frac{2}{3} \, n}}"," ",0,"-b*integrate(x^(1/3*n)/(a*b*x*x^n + a^2*x), x) - 3/2/(a*n*x^(2/3*n))","F",0
2641,0,0,0,0.000000," ","integrate(x^(-1-3/4*n)/(a+b*x^n),x, algorithm=""maxima"")","-b \int \frac{x^{\frac{1}{4} \, n}}{a b x x^{n} + a^{2} x}\,{d x} - \frac{4}{3 \, a n x^{\frac{3}{4} \, n}}"," ",0,"-b*integrate(x^(1/4*n)/(a*b*x*x^n + a^2*x), x) - 4/3/(a*n*x^(3/4*n))","F",0
2642,1,42,0,0.613706," ","integrate(x^(-1-n)/(a+b*x^n),x, algorithm=""maxima"")","-\frac{b \log\left(x\right)}{a^{2}} + \frac{b \log\left(\frac{b x^{n} + a}{b}\right)}{a^{2} n} - \frac{1}{a n x^{n}}"," ",0,"-b*log(x)/a^2 + b*log((b*x^n + a)/b)/(a^2*n) - 1/(a*n*x^n)","A",0
2643,0,0,0,0.000000," ","integrate(x^(-1-1/2*n)/(a+b*x^n),x, algorithm=""maxima"")","-b \int \frac{x^{\frac{1}{2} \, n}}{a b x x^{n} + a^{2} x}\,{d x} - \frac{2}{a n x^{\frac{1}{2} \, n}}"," ",0,"-b*integrate(x^(1/2*n)/(a*b*x*x^n + a^2*x), x) - 2/(a*n*x^(1/2*n))","F",0
2644,0,0,0,0.000000," ","integrate(x^(-1-1/3*n)/(a+b*x^n),x, algorithm=""maxima"")","-b \int \frac{x^{\frac{2}{3} \, n}}{a b x x^{n} + a^{2} x}\,{d x} - \frac{3}{a n x^{\frac{1}{3} \, n}}"," ",0,"-b*integrate(x^(2/3*n)/(a*b*x*x^n + a^2*x), x) - 3/(a*n*x^(1/3*n))","F",0
2645,0,0,0,0.000000," ","integrate(x^(-1-1/4*n)/(a+b*x^n),x, algorithm=""maxima"")","-b \int \frac{x^{\frac{3}{4} \, n}}{a b x x^{n} + a^{2} x}\,{d x} - \frac{4}{a n x^{\frac{1}{4} \, n}}"," ",0,"-b*integrate(x^(3/4*n)/(a*b*x*x^n + a^2*x), x) - 4/(a*n*x^(1/4*n))","F",0
2646,0,0,0,0.000000," ","integrate(x^(-1-3/2*n)/(a+b*x^n),x, algorithm=""maxima"")","b^{2} \int \frac{x^{\frac{1}{2} \, n}}{a^{2} b x x^{n} + a^{3} x}\,{d x} + \frac{2 \, {\left(3 \, b x^{n} - a\right)}}{3 \, a^{2} n x^{\frac{3}{2} \, n}}"," ",0,"b^2*integrate(x^(1/2*n)/(a^2*b*x*x^n + a^3*x), x) + 2/3*(3*b*x^n - a)/(a^2*n*x^(3/2*n))","F",0
2647,0,0,0,0.000000," ","integrate(x^(-1-4/3*n)/(a+b*x^n),x, algorithm=""maxima"")","b^{2} \int \frac{x^{\frac{2}{3} \, n}}{a^{2} b x x^{n} + a^{3} x}\,{d x} + \frac{3 \, {\left(4 \, b x^{n} - a\right)}}{4 \, a^{2} n x^{\frac{4}{3} \, n}}"," ",0,"b^2*integrate(x^(2/3*n)/(a^2*b*x*x^n + a^3*x), x) + 3/4*(4*b*x^n - a)/(a^2*n*x^(4/3*n))","F",0
2648,0,0,0,0.000000," ","integrate(x^(-1-5/4*n)/(a+b*x^n),x, algorithm=""maxima"")","b^{2} \int \frac{x^{\frac{3}{4} \, n}}{a^{2} b x x^{n} + a^{3} x}\,{d x} + \frac{4 \, {\left(5 \, b x^{n} - a\right)}}{5 \, a^{2} n x^{\frac{5}{4} \, n}}"," ",0,"b^2*integrate(x^(3/4*n)/(a^2*b*x*x^n + a^3*x), x) + 4/5*(5*b*x^n - a)/(a^2*n*x^(5/4*n))","F",0
2649,1,66,0,0.571770," ","integrate(x^(-1+4*n)*(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(35 \, b^{4} x^{4 \, n} + 5 \, a b^{3} x^{3 \, n} - 6 \, a^{2} b^{2} x^{2 \, n} + 8 \, a^{3} b x^{n} - 16 \, a^{4}\right)} \sqrt{b x^{n} + a}}{315 \, b^{4} n}"," ",0,"2/315*(35*b^4*x^(4*n) + 5*a*b^3*x^(3*n) - 6*a^2*b^2*x^(2*n) + 8*a^3*b*x^n - 16*a^4)*sqrt(b*x^n + a)/(b^4*n)","A",0
2650,1,53,0,0.597632," ","integrate(x^(-1+3*n)*(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(15 \, b^{3} x^{3 \, n} + 3 \, a b^{2} x^{2 \, n} - 4 \, a^{2} b x^{n} + 8 \, a^{3}\right)} \sqrt{b x^{n} + a}}{105 \, b^{3} n}"," ",0,"2/105*(15*b^3*x^(3*n) + 3*a*b^2*x^(2*n) - 4*a^2*b*x^n + 8*a^3)*sqrt(b*x^n + a)/(b^3*n)","A",0
2651,1,39,0,0.617415," ","integrate(x^(-1+2*n)*(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, b^{2} x^{2 \, n} + a b x^{n} - 2 \, a^{2}\right)} \sqrt{b x^{n} + a}}{15 \, b^{2} n}"," ",0,"2/15*(3*b^2*x^(2*n) + a*b*x^n - 2*a^2)*sqrt(b*x^n + a)/(b^2*n)","A",0
2652,1,17,0,0.514037," ","integrate(x^(-1+n)*(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b x^{n} + a\right)}^{\frac{3}{2}}}{3 \, b n}"," ",0,"2/3*(b*x^n + a)^(3/2)/(b*n)","A",0
2653,1,54,0,1.260655," ","integrate((a+b*x^n)^(1/2)/x,x, algorithm=""maxima"")","\frac{\sqrt{a} \log\left(\frac{\sqrt{b x^{n} + a} - \sqrt{a}}{\sqrt{b x^{n} + a} + \sqrt{a}}\right)}{n} + \frac{2 \, \sqrt{b x^{n} + a}}{n}"," ",0,"sqrt(a)*log((sqrt(b*x^n + a) - sqrt(a))/(sqrt(b*x^n + a) + sqrt(a)))/n + 2*sqrt(b*x^n + a)/n","A",0
2654,0,0,0,0.000000," ","integrate(x^(-1-n)*(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{n} + a} x^{-n - 1}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a)*x^(-n - 1), x)","F",0
2655,0,0,0,0.000000," ","integrate(x^(-1-2*n)*(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{n} + a} x^{-2 \, n - 1}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a)*x^(-2*n - 1), x)","F",0
2656,0,0,0,0.000000," ","integrate(x^(-1-3*n)*(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{n} + a} x^{-3 \, n - 1}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a)*x^(-3*n - 1), x)","F",0
2657,0,0,0,0.000000," ","integrate(x^(-1-4*n)*(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{n} + a} x^{-4 \, n - 1}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a)*x^(-4*n - 1), x)","F",0
2658,1,66,0,0.784238," ","integrate(x^(-1+4*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, b^{4} x^{4 \, n} - a b^{3} x^{3 \, n} + 2 \, a^{2} b^{2} x^{2 \, n} - 8 \, a^{3} b x^{n} - 16 \, a^{4}\right)}}{35 \, \sqrt{b x^{n} + a} b^{4} n}"," ",0,"2/35*(5*b^4*x^(4*n) - a*b^3*x^(3*n) + 2*a^2*b^2*x^(2*n) - 8*a^3*b*x^n - 16*a^4)/(sqrt(b*x^n + a)*b^4*n)","A",0
2659,1,53,0,0.729747," ","integrate(x^(-1+3*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, b^{3} x^{3 \, n} - a b^{2} x^{2 \, n} + 4 \, a^{2} b x^{n} + 8 \, a^{3}\right)}}{15 \, \sqrt{b x^{n} + a} b^{3} n}"," ",0,"2/15*(3*b^3*x^(3*n) - a*b^2*x^(2*n) + 4*a^2*b*x^n + 8*a^3)/(sqrt(b*x^n + a)*b^3*n)","A",0
2660,1,39,0,0.595439," ","integrate(x^(-1+2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b^{2} x^{2 \, n} - a b x^{n} - 2 \, a^{2}\right)}}{3 \, \sqrt{b x^{n} + a} b^{2} n}"," ",0,"2/3*(b^2*x^(2*n) - a*b*x^n - 2*a^2)/(sqrt(b*x^n + a)*b^2*n)","A",0
2661,1,17,0,0.637530," ","integrate(x^(-1+n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{b x^{n} + a}}{b n}"," ",0,"2*sqrt(b*x^n + a)/(b*n)","A",0
2662,1,39,0,1.380129," ","integrate(1/x/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b x^{n} + a} - \sqrt{a}}{\sqrt{b x^{n} + a} + \sqrt{a}}\right)}{\sqrt{a} n}"," ",0,"log((sqrt(b*x^n + a) - sqrt(a))/(sqrt(b*x^n + a) + sqrt(a)))/(sqrt(a)*n)","A",0
2663,0,0,0,0.000000," ","integrate(x^(-1-n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{-n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(-n - 1)/sqrt(b*x^n + a), x)","F",0
2664,0,0,0,0.000000," ","integrate(x^(-1-2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{-2 \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(-2*n - 1)/sqrt(b*x^n + a), x)","F",0
2665,0,0,0,0.000000," ","integrate(x^(-1-3*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{-3 \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(-3*n - 1)/sqrt(b*x^n + a), x)","F",0
2666,0,0,0,0.000000," ","integrate(x^(-1-4*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{-4 \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(-4*n - 1)/sqrt(b*x^n + a), x)","F",0
2667,1,75,0,0.489824," ","integrate(x^m*(a+b*x^n)^3,x, algorithm=""maxima"")","\frac{b^{3} x^{m + 3 \, n + 1}}{m + 3 \, n + 1} + \frac{3 \, a b^{2} x^{m + 2 \, n + 1}}{m + 2 \, n + 1} + \frac{3 \, a^{2} b x^{m + n + 1}}{m + n + 1} + \frac{a^{3} x^{m + 1}}{m + 1}"," ",0,"b^3*x^(m + 3*n + 1)/(m + 3*n + 1) + 3*a*b^2*x^(m + 2*n + 1)/(m + 2*n + 1) + 3*a^2*b*x^(m + n + 1)/(m + n + 1) + a^3*x^(m + 1)/(m + 1)","A",0
2668,1,51,0,0.581306," ","integrate(x^m*(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{b^{2} x^{m + 2 \, n + 1}}{m + 2 \, n + 1} + \frac{2 \, a b x^{m + n + 1}}{m + n + 1} + \frac{a^{2} x^{m + 1}}{m + 1}"," ",0,"b^2*x^(m + 2*n + 1)/(m + 2*n + 1) + 2*a*b*x^(m + n + 1)/(m + n + 1) + a^2*x^(m + 1)/(m + 1)","A",0
2669,1,27,0,0.612811," ","integrate(x^m*(a+b*x^n),x, algorithm=""maxima"")","\frac{b x^{m + n + 1}}{m + n + 1} + \frac{a x^{m + 1}}{m + 1}"," ",0,"b*x^(m + n + 1)/(m + n + 1) + a*x^(m + 1)/(m + 1)","A",0
2670,0,0,0,0.000000," ","integrate(x^m/(a+b*x^n),x, algorithm=""maxima"")","\int \frac{x^{m}}{b x^{n} + a}\,{d x}"," ",0,"integrate(x^m/(b*x^n + a), x)","F",0
2671,0,0,0,0.000000," ","integrate(x^m/(a+b*x^n)^2,x, algorithm=""maxima"")","-{\left(m - n + 1\right)} \int \frac{x^{m}}{a b n x^{n} + a^{2} n}\,{d x} + \frac{x x^{m}}{a b n x^{n} + a^{2} n}"," ",0,"-(m - n + 1)*integrate(x^m/(a*b*n*x^n + a^2*n), x) + x*x^m/(a*b*n*x^n + a^2*n)","F",0
2672,0,0,0,0.000000," ","integrate(x^m/(a+b*x^n)^3,x, algorithm=""maxima"")","{\left(m^{2} - m {\left(3 \, n - 2\right)} + 2 \, n^{2} - 3 \, n + 1\right)} \int \frac{x^{m}}{2 \, {\left(a^{2} b n^{2} x^{n} + a^{3} n^{2}\right)}}\,{d x} - \frac{a {\left(m - 3 \, n + 1\right)} x x^{m} + b {\left(m - 2 \, n + 1\right)} x e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}}{2 \, {\left(a^{2} b^{2} n^{2} x^{2 \, n} + 2 \, a^{3} b n^{2} x^{n} + a^{4} n^{2}\right)}}"," ",0,"(m^2 - m*(3*n - 2) + 2*n^2 - 3*n + 1)*integrate(1/2*x^m/(a^2*b*n^2*x^n + a^3*n^2), x) - 1/2*(a*(m - 3*n + 1)*x*x^m + b*(m - 2*n + 1)*x*e^(m*log(x) + n*log(x)))/(a^2*b^2*n^2*x^(2*n) + 2*a^3*b*n^2*x^n + a^4*n^2)","F",0
2673,0,0,0,0.000000," ","integrate(x^m*(a+b*x^n)^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{\frac{3}{2}} x^{m}\,{d x}"," ",0,"integrate((b*x^n + a)^(3/2)*x^m, x)","F",0
2674,0,0,0,0.000000," ","integrate(x^m*(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{n} + a} x^{m}\,{d x}"," ",0,"integrate(sqrt(b*x^n + a)*x^m, x)","F",0
2675,0,0,0,0.000000," ","integrate(x^m/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^m/sqrt(b*x^n + a), x)","F",0
2676,0,0,0,0.000000," ","integrate(x^m/(a+b*x^n)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x^{n} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^m/(b*x^n + a)^(3/2), x)","F",0
2677,0,0,0,0.000000," ","integrate(x^m/(a+b*x^n)^(5/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x^{n} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^m/(b*x^n + a)^(5/2), x)","F",0
2678,0,0,0,0.000000," ","integrate(x^(3+2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2 \, n + 3}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(2*n + 3)/sqrt(b*x^n + a), x)","F",0
2679,0,0,0,0.000000," ","integrate(x^(3+n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{n + 3}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(n + 3)/sqrt(b*x^n + a), x)","F",0
2680,0,0,0,0.000000," ","integrate(x^(3-n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{-n + 3}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(-n + 3)/sqrt(b*x^n + a), x)","F",0
2681,0,0,0,0.000000," ","integrate(x^(3-2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{-2 \, n + 3}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(-2*n + 3)/sqrt(b*x^n + a), x)","F",0
2682,0,0,0,0.000000," ","integrate(x^(m+2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m + 2 \, n}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(m + 2*n)/sqrt(b*x^n + a), x)","F",0
2683,0,0,0,0.000000," ","integrate(x^(m+n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m + n}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(m + n)/sqrt(b*x^n + a), x)","F",0
2684,0,0,0,0.000000," ","integrate(x^(m-n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m - n}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(m - n)/sqrt(b*x^n + a), x)","F",0
2685,0,0,0,0.000000," ","integrate(x^(m-2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m - 2 \, n}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(m - 2*n)/sqrt(b*x^n + a), x)","F",0
2686,1,13,0,0.890775," ","integrate(-1/2*b*n*x^(-1+m+n)/(a+b*x^n)^(3/2)+m*x^(-1+m)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{x^{m}}{\sqrt{b x^{n} + a}}"," ",0,"x^m/sqrt(b*x^n + a)","A",0
2687,0,0,0,0.000000," ","integrate(x^(-1+7/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{7}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(7/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2688,0,0,0,0.000000," ","integrate(x^(-1+5/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{5}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(5/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2689,0,0,0,0.000000," ","integrate(x^(-1+3/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{3}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(3/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2690,0,0,0,0.000000," ","integrate(x^(-1+1/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{\frac{1}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(1/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2691,0,0,0,0.000000," ","integrate(x^(-1-1/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{-\frac{1}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(-1/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2692,0,0,0,0.000000," ","integrate(x^(-1-3/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{-\frac{3}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(-3/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2693,0,0,0,0.000000," ","integrate(x^(-1-5/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{-\frac{5}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(-5/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2694,0,0,0,0.000000," ","integrate(x^(-1-7/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{-\frac{7}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate(x^(-7/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2695,0,0,0,0.000000," ","integrate(x^m/(a+b*x^(-2+m))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{b x^{m - 2} + a}}\,{d x}"," ",0,"integrate(x^m/sqrt(b*x^(m - 2) + a), x)","F",0
2696,0,0,0,0.000000," ","integrate(x^m/(a+b*x^(2-m))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{b x^{-m + 2} + a}}\,{d x}"," ",0,"integrate(x^m/sqrt(b*x^(-m + 2) + a), x)","F",0
2697,1,37,0,0.848674," ","integrate(6*a*x^2/b/(4+m)/(a+b*x^(-2+m))^(1/2)+x^m/(a+b*x^(-2+m))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(a x^{4} + b x^{2} x^{m}\right)}}{\sqrt{a x^{2} + b x^{m}} b {\left(m + 4\right)}}"," ",0,"2*(a*x^4 + b*x^2*x^m)/(sqrt(a*x^2 + b*x^m)*b*(m + 4))","A",0
2698,1,13,0,1.021184," ","integrate(1/2*x^(-1+m)*(2*a*m+b*(2*m-n)*x^n)/(a+b*x^n)^(3/2),x, algorithm=""maxima"")","\frac{x^{m}}{\sqrt{b x^{n} + a}}"," ",0,"x^m/sqrt(b*x^n + a)","A",0
2699,1,13,0,0.853390," ","integrate(-1/2*b*n*x^(-1+m+n)/(a+b*x^n)^(3/2)+m*x^(-1+m)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\frac{x^{m}}{\sqrt{b x^{n} + a}}"," ",0,"x^m/sqrt(b*x^n + a)","A",0
2700,0,0,0,0.000000," ","integrate(x^m/(a+b*x^(3+3*m))^(1/3),x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x^{3 \, m + 3} + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^m/(b*x^(3*m + 3) + a)^(1/3), x)","F",0
2701,0,0,0,0.000000," ","integrate(x^m*(a+b/(x^(3/2+3/2*m)))^(2/3),x, algorithm=""maxima"")","\int {\left(b x^{-\frac{3}{2} \, m - \frac{3}{2}} + a\right)}^{\frac{2}{3}} x^{m}\,{d x}"," ",0,"integrate((b*x^(-3/2*m - 3/2) + a)^(2/3)*x^m, x)","F",0
2702,0,0,0,0.000000," ","integrate(x^(-1+1/3*n)/(a+b*x^n)^(1/3),x, algorithm=""maxima"")","\int \frac{x^{\frac{1}{3} \, n - 1}}{{\left(b x^{n} + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x^(1/3*n - 1)/(b*x^n + a)^(1/3), x)","F",0
2703,0,0,0,0.000000," ","integrate(x^(-1-2/3*n)*(a+b*x^n)^(2/3),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{\frac{2}{3}} x^{-\frac{2}{3} \, n - 1}\,{d x}"," ",0,"integrate((b*x^n + a)^(2/3)*x^(-2/3*n - 1), x)","F",0
2704,0,0,0,0.000000," ","integrate(x^m*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} x^{m}\,{d x}"," ",0,"integrate((b*x^n + a)^p*x^m, x)","F",0
2705,0,0,0,0.000000," ","integrate((a+b*x^n)^(-4-1/n),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{-\frac{1}{n} - 4}\,{d x}"," ",0,"integrate((b*x^n + a)^(-1/n - 4), x)","F",0
2706,0,0,0,0.000000," ","integrate((a+b*x^n)^(-3-1/n),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{-\frac{1}{n} - 3}\,{d x}"," ",0,"integrate((b*x^n + a)^(-1/n - 3), x)","F",0
2707,0,0,0,0.000000," ","integrate((a+b*x^n)^(-2-1/n),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{-\frac{1}{n} - 2}\,{d x}"," ",0,"integrate((b*x^n + a)^(-1/n - 2), x)","F",0
2708,0,0,0,0.000000," ","integrate((a+b*x^n)^(-1-1/n),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{-\frac{1}{n} - 1}\,{d x}"," ",0,"integrate((b*x^n + a)^(-1/n - 1), x)","F",0
2709,0,0,0,0.000000," ","integrate(1/((a+b*x^n)^(1/n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{\left(\frac{1}{n}\right)}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^(1/n)), x)","F",0
2710,0,0,0,0.000000," ","integrate((a+b*x^n)^(1-1/n),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{-\frac{1}{n} + 1}\,{d x}"," ",0,"integrate((b*x^n + a)^(-1/n + 1), x)","F",0
2711,0,0,0,0.000000," ","integrate((a+b*x^n)^(2-1/n),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{-\frac{1}{n} + 2}\,{d x}"," ",0,"integrate((b*x^n + a)^(-1/n + 2), x)","F",0
2712,1,25,0,0.649189," ","integrate(x^m*(b*x^n)^p,x, algorithm=""maxima"")","\frac{b^{p} x e^{\left(m \log\left(x\right) + p \log\left(x^{n}\right)\right)}}{n p + m + 1}"," ",0,"b^p*x*e^(m*log(x) + p*log(x^n))/(n*p + m + 1)","A",0
2713,1,19,0,0.574372," ","integrate(x^2*(b*x^n)^p,x, algorithm=""maxima"")","\frac{b^{p} x^{3} {\left(x^{n}\right)}^{p}}{n p + 3}"," ",0,"b^p*x^3*(x^n)^p/(n*p + 3)","A",0
2714,1,19,0,0.566257," ","integrate(x*(b*x^n)^p,x, algorithm=""maxima"")","\frac{b^{p} x^{2} {\left(x^{n}\right)}^{p}}{n p + 2}"," ",0,"b^p*x^2*(x^n)^p/(n*p + 2)","A",0
2715,1,17,0,0.603674," ","integrate((b*x^n)^p,x, algorithm=""maxima"")","\frac{b^{p} x {\left(x^{n}\right)}^{p}}{n p + 1}"," ",0,"b^p*x*(x^n)^p/(n*p + 1)","A",0
2716,1,15,0,0.716869," ","integrate((b*x^n)^p/x,x, algorithm=""maxima"")","\frac{b^{p} {\left(x^{n}\right)}^{p}}{n p}"," ",0,"b^p*(x^n)^p/(n*p)","A",0
2717,1,19,0,0.585165," ","integrate((b*x^n)^p/x^2,x, algorithm=""maxima"")","\frac{b^{p} {\left(x^{n}\right)}^{p}}{{\left(n p - 1\right)} x}"," ",0,"b^p*(x^n)^p/((n*p - 1)*x)","A",0
2718,1,19,0,0.599855," ","integrate((b*x^n)^p/x^3,x, algorithm=""maxima"")","\frac{b^{p} {\left(x^{n}\right)}^{p}}{{\left(n p - 2\right)} x^{2}}"," ",0,"b^p*(x^n)^p/((n*p - 2)*x^2)","A",0
2719,1,19,0,0.534415," ","integrate((b*x^n)^p/x^4,x, algorithm=""maxima"")","\frac{b^{p} {\left(x^{n}\right)}^{p}}{{\left(n p - 3\right)} x^{3}}"," ",0,"b^p*(x^n)^p/((n*p - 3)*x^3)","A",0
2720,1,23,0,0.493794," ","integrate(x^(-1+n)*(a+b*x^n)^p,x, algorithm=""maxima"")","\frac{{\left(b x^{n} + a\right)}^{p + 1}}{b n {\left(p + 1\right)}}"," ",0,"(b*x^n + a)^(p + 1)/(b*n*(p + 1))","A",0
2721,1,51,0,0.578520," ","integrate(x^(-1+2*n)*(a+b*x^n)^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(p + 1\right)} x^{2 \, n} + a b p x^{n} - a^{2}\right)} {\left(b x^{n} + a\right)}^{p}}{{\left(p^{2} + 3 \, p + 2\right)} b^{2} n}"," ",0,"(b^2*(p + 1)*x^(2*n) + a*b*p*x^n - a^2)*(b*x^n + a)^p/((p^2 + 3*p + 2)*b^2*n)","A",0
2722,1,79,0,0.601779," ","integrate(x^(-1+3*n)*(a+b*x^n)^p,x, algorithm=""maxima"")","\frac{{\left({\left(p^{2} + 3 \, p + 2\right)} b^{3} x^{3 \, n} + {\left(p^{2} + p\right)} a b^{2} x^{2 \, n} - 2 \, a^{2} b p x^{n} + 2 \, a^{3}\right)} {\left(b x^{n} + a\right)}^{p}}{{\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} b^{3} n}"," ",0,"((p^2 + 3*p + 2)*b^3*x^(3*n) + (p^2 + p)*a*b^2*x^(2*n) - 2*a^2*b*p*x^n + 2*a^3)*(b*x^n + a)^p/((p^3 + 6*p^2 + 11*p + 6)*b^3*n)","A",0
2723,1,114,0,0.583771," ","integrate(x^(-1+4*n)*(a+b*x^n)^p,x, algorithm=""maxima"")","\frac{{\left({\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} b^{4} x^{4 \, n} + {\left(p^{3} + 3 \, p^{2} + 2 \, p\right)} a b^{3} x^{3 \, n} - 3 \, {\left(p^{2} + p\right)} a^{2} b^{2} x^{2 \, n} + 6 \, a^{3} b p x^{n} - 6 \, a^{4}\right)} {\left(b x^{n} + a\right)}^{p}}{{\left(p^{4} + 10 \, p^{3} + 35 \, p^{2} + 50 \, p + 24\right)} b^{4} n}"," ",0,"((p^3 + 6*p^2 + 11*p + 6)*b^4*x^(4*n) + (p^3 + 3*p^2 + 2*p)*a*b^3*x^(3*n) - 3*(p^2 + p)*a^2*b^2*x^(2*n) + 6*a^3*b*p*x^n - 6*a^4)*(b*x^n + a)^p/((p^4 + 10*p^3 + 35*p^2 + 50*p + 24)*b^4*n)","A",0
2724,0,0,0,0.000000," ","integrate(x^(-n*p-n-1)*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} x^{-n p - n - 1}\,{d x}"," ",0,"integrate((b*x^n + a)^p*x^(-n*p - n - 1), x)","F",0
2725,1,151,0,0.540143," ","integrate(x^(-1-9*n)*(a+b*x^n)^8,x, algorithm=""maxima"")","-\frac{a^{8}}{9 \, n x^{9 \, n}} - \frac{a^{7} b}{n x^{8 \, n}} - \frac{4 \, a^{6} b^{2}}{n x^{7 \, n}} - \frac{28 \, a^{5} b^{3}}{3 \, n x^{6 \, n}} - \frac{14 \, a^{4} b^{4}}{n x^{5 \, n}} - \frac{14 \, a^{3} b^{5}}{n x^{4 \, n}} - \frac{28 \, a^{2} b^{6}}{3 \, n x^{3 \, n}} - \frac{4 \, a b^{7}}{n x^{2 \, n}} - \frac{b^{8}}{n x^{n}}"," ",0,"-1/9*a^8/(n*x^(9*n)) - a^7*b/(n*x^(8*n)) - 4*a^6*b^2/(n*x^(7*n)) - 28/3*a^5*b^3/(n*x^(6*n)) - 14*a^4*b^4/(n*x^(5*n)) - 14*a^3*b^5/(n*x^(4*n)) - 28/3*a^2*b^6/(n*x^(3*n)) - 4*a*b^7/(n*x^(2*n)) - b^8/(n*x^n)","B",0
2726,1,37,0,0.537258," ","integrate(x^(-4-3*p)*(b*x^3+a)^p,x, algorithm=""maxima"")","-\frac{{\left(b x^{3} + a\right)} e^{\left(p \log\left(b x^{3} + a\right) - 3 \, p \log\left(x\right)\right)}}{3 \, a {\left(p + 1\right)} x^{3}}"," ",0,"-1/3*(b*x^3 + a)*e^(p*log(b*x^3 + a) - 3*p*log(x))/(a*(p + 1)*x^3)","A",0
2727,1,90,0,0.450662," ","integrate((b*x^3+a)^8/x^28,x, algorithm=""maxima"")","-\frac{9 \, b^{8} x^{24} + 36 \, a b^{7} x^{21} + 84 \, a^{2} b^{6} x^{18} + 126 \, a^{3} b^{5} x^{15} + 126 \, a^{4} b^{4} x^{12} + 84 \, a^{5} b^{3} x^{9} + 36 \, a^{6} b^{2} x^{6} + 9 \, a^{7} b x^{3} + a^{8}}{27 \, x^{27}}"," ",0,"-1/27*(9*b^8*x^24 + 36*a*b^7*x^21 + 84*a^2*b^6*x^18 + 126*a^3*b^5*x^15 + 126*a^4*b^4*x^12 + 84*a^5*b^3*x^9 + 36*a^6*b^2*x^6 + 9*a^7*b*x^3 + a^8)/x^27","B",0
2728,1,28,0,0.502741," ","integrate(1/x/(a+b*x^n),x, algorithm=""maxima"")","-\frac{\log\left(b x^{n} + a\right)}{a n} + \frac{\log\left(x^{n}\right)}{a n}"," ",0,"-log(b*x^n + a)/(a*n) + log(x^n)/(a*n)","A",0
2729,1,23,0,0.488373," ","integrate(1/x/(b*x^3+a),x, algorithm=""maxima"")","-\frac{\log\left(b x^{3} + a\right)}{3 \, a} + \frac{\log\left(x^{3}\right)}{3 \, a}"," ",0,"-1/3*log(b*x^3 + a)/a + 1/3*log(x^3)/a","A",0
2730,0,0,0,0.000000," ","integrate(1/((a+b*x^n)^((1+4*n)/n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{\frac{4 \, n + 1}{n}}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^((4*n + 1)/n)), x)","F",0
2731,0,0,0,0.000000," ","integrate(1/((a+b*x^n)^((1+3*n)/n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{\frac{3 \, n + 1}{n}}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^((3*n + 1)/n)), x)","F",0
2732,0,0,0,0.000000," ","integrate(1/((a+b*x^n)^((1+2*n)/n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{\frac{2 \, n + 1}{n}}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^((2*n + 1)/n)), x)","F",0
2733,0,0,0,0.000000," ","integrate(1/((a+b*x^n)^((1+n)/n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{\frac{n + 1}{n}}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^((n + 1)/n)), x)","F",0
2734,0,0,0,0.000000," ","integrate(1/((a+b*x^n)^(1/n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x^{n} + a\right)}^{\left(\frac{1}{n}\right)}}\,{d x}"," ",0,"integrate(1/((b*x^n + a)^(1/n)), x)","F",0
2735,0,0,0,0.000000," ","integrate(1/((a+b*x^n)^((1-n)/n)),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{\frac{n - 1}{n}}\,{d x}"," ",0,"integrate((b*x^n + a)^((n - 1)/n), x)","F",0
2736,0,0,0,0.000000," ","integrate(1/((a+b*x^n)^((1-2*n)/n)),x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{\frac{2 \, n - 1}{n}}\,{d x}"," ",0,"integrate((b*x^n + a)^((2*n - 1)/n), x)","F",0
2737,1,32,0,0.458415," ","integrate(1/x/(a+b/(x^n)),x, algorithm=""maxima"")","\frac{\log\left(a + \frac{b}{x^{n}}\right)}{a n} - \frac{\log\left(\frac{1}{x^{n}}\right)}{a n}"," ",0,"log(a + b/x^n)/(a*n) - log(1/(x^n))/(a*n)","B",0
2738,1,19,0,0.565076," ","integrate(x^m/(a+b*x^(1+m)),x, algorithm=""maxima"")","\frac{\log\left(b x^{m + 1} + a\right)}{b {\left(m + 1\right)}}"," ",0,"log(b*x^(m + 1) + a)/(b*(m + 1))","A",0
2739,1,27,0,0.499609," ","integrate(x^m*(a+b*x^(1+m))^n,x, algorithm=""maxima"")","\frac{{\left(b x^{m + 1} + a\right)}^{n + 1}}{b {\left(m + 1\right)} {\left(n + 1\right)}}"," ",0,"(b*x^(m + 1) + a)^(n + 1)/(b*(m + 1)*(n + 1))","A",0
2740,1,67,0,0.632553," ","integrate(x^m*(a+b*x^(2+2*m))^3,x, algorithm=""maxima"")","\frac{b^{3} x^{7 \, m + 7}}{7 \, {\left(m + 1\right)}} + \frac{3 \, a b^{2} x^{5 \, m + 5}}{5 \, {\left(m + 1\right)}} + \frac{a^{2} b x^{3 \, m + 3}}{m + 1} + \frac{a^{3} x^{m + 1}}{m + 1}"," ",0,"1/7*b^3*x^(7*m + 7)/(m + 1) + 3/5*a*b^2*x^(5*m + 5)/(m + 1) + a^2*b*x^(3*m + 3)/(m + 1) + a^3*x^(m + 1)/(m + 1)","A",0
2741,1,48,0,0.592002," ","integrate(x^m*(a+b*x^(2+2*m))^2,x, algorithm=""maxima"")","\frac{b^{2} x^{5 \, m + 5}}{5 \, {\left(m + 1\right)}} + \frac{2 \, a b x^{3 \, m + 3}}{3 \, {\left(m + 1\right)}} + \frac{a^{2} x^{m + 1}}{m + 1}"," ",0,"1/5*b^2*x^(5*m + 5)/(m + 1) + 2/3*a*b*x^(3*m + 3)/(m + 1) + a^2*x^(m + 1)/(m + 1)","A",0
2742,1,28,0,0.649060," ","integrate(x^m*(a+b*x^(2+2*m)),x, algorithm=""maxima"")","\frac{b x^{3 \, m + 3}}{3 \, {\left(m + 1\right)}} + \frac{a x^{m + 1}}{m + 1}"," ",0,"1/3*b*x^(3*m + 3)/(m + 1) + a*x^(m + 1)/(m + 1)","A",0
2743,0,0,0,0.000000," ","integrate(x^m/(a+b*x^(2+2*m)),x, algorithm=""maxima"")","\int \frac{x^{m}}{b x^{2 \, m + 2} + a}\,{d x}"," ",0,"integrate(x^m/(b*x^(2*m + 2) + a), x)","F",0
2744,0,0,0,0.000000," ","integrate(x^m/(a+b*x^(2+2*m))^2,x, algorithm=""maxima"")","\frac{x x^{m}}{2 \, {\left(a b {\left(m + 1\right)} x^{2} x^{2 \, m} + a^{2} {\left(m + 1\right)}\right)}} + \int \frac{x^{m}}{2 \, {\left(a b x^{2} x^{2 \, m} + a^{2}\right)}}\,{d x}"," ",0,"1/2*x*x^m/(a*b*(m + 1)*x^2*x^(2*m) + a^2*(m + 1)) + integrate(1/2*x^m/(a*b*x^2*x^(2*m) + a^2), x)","F",0
2745,0,0,0,0.000000," ","integrate(x^m/(a+b*x^(2+2*m))^3,x, algorithm=""maxima"")","\frac{3 \, b x^{3} x^{3 \, m} + 5 \, a x x^{m}}{8 \, {\left(a^{2} b^{2} {\left(m + 1\right)} x^{4} x^{4 \, m} + 2 \, a^{3} b {\left(m + 1\right)} x^{2} x^{2 \, m} + a^{4} {\left(m + 1\right)}\right)}} + 3 \, \int \frac{x^{m}}{8 \, {\left(a^{2} b x^{2} x^{2 \, m} + a^{3}\right)}}\,{d x}"," ",0,"1/8*(3*b*x^3*x^(3*m) + 5*a*x*x^m)/(a^2*b^2*(m + 1)*x^4*x^(4*m) + 2*a^3*b*(m + 1)*x^2*x^(2*m) + a^4*(m + 1)) + 3*integrate(1/8*x^m/(a^2*b*x^2*x^(2*m) + a^3), x)","F",0
2746,0,0,0,0.000000," ","integrate(x^m*(a+b*x^(2+2*m))^(5/2),x, algorithm=""maxima"")","\int {\left(b x^{2 \, m + 2} + a\right)}^{\frac{5}{2}} x^{m}\,{d x}"," ",0,"integrate((b*x^(2*m + 2) + a)^(5/2)*x^m, x)","F",0
2747,0,0,0,0.000000," ","integrate(x^m*(a+b*x^(2+2*m))^(3/2),x, algorithm=""maxima"")","\int {\left(b x^{2 \, m + 2} + a\right)}^{\frac{3}{2}} x^{m}\,{d x}"," ",0,"integrate((b*x^(2*m + 2) + a)^(3/2)*x^m, x)","F",0
2748,0,0,0,0.000000," ","integrate(x^m*(a+b*x^(2+2*m))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b x^{2 \, m + 2} + a} x^{m}\,{d x}"," ",0,"integrate(sqrt(b*x^(2*m + 2) + a)*x^m, x)","F",0
2749,0,0,0,0.000000," ","integrate(x^m/(a+b*x^(2+2*m))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{b x^{2 \, m + 2} + a}}\,{d x}"," ",0,"integrate(x^m/sqrt(b*x^(2*m + 2) + a), x)","F",0
2750,0,0,0,0.000000," ","integrate(x^m/(a+b*x^(2+2*m))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x^{2 \, m + 2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^m/(b*x^(2*m + 2) + a)^(3/2), x)","F",0
2751,0,0,0,0.000000," ","integrate(x^m/(a+b*x^(2+2*m))^(5/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x^{2 \, m + 2} + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(x^m/(b*x^(2*m + 2) + a)^(5/2), x)","F",0
2752,0,0,0,0.000000," ","integrate(x^m/(a+b*x^(2+2*m))^(7/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{{\left(b x^{2 \, m + 2} + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(x^m/(b*x^(2*m + 2) + a)^(7/2), x)","F",0
2753,1,16,0,0.546895," ","integrate(x^n*(1+x^(1+n))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(x^{n + 1} + 1\right)}^{\frac{3}{2}}}{3 \, {\left(n + 1\right)}}"," ",0,"2/3*(x^(n + 1) + 1)^(3/2)/(n + 1)","A",0
2754,1,18,0,0.493051," ","integrate(x^n*(a^2+x^(1+n))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(a^{2} + x^{n + 1}\right)}^{\frac{3}{2}}}{3 \, {\left(n + 1\right)}}"," ",0,"2/3*(a^2 + x^(n + 1))^(3/2)/(n + 1)","A",0
2755,1,71,0,0.482188," ","integrate((c*x)^m*(a+b*x^n)^2,x, algorithm=""maxima"")","\frac{b^{2} c^{m} x e^{\left(m \log\left(x\right) + 2 \, n \log\left(x\right)\right)}}{m + 2 \, n + 1} + \frac{2 \, a b c^{m} x e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}}{m + n + 1} + \frac{\left(c x\right)^{m + 1} a^{2}}{c {\left(m + 1\right)}}"," ",0,"b^2*c^m*x*e^(m*log(x) + 2*n*log(x))/(m + 2*n + 1) + 2*a*b*c^m*x*e^(m*log(x) + n*log(x))/(m + n + 1) + (c*x)^(m + 1)*a^2/(c*(m + 1))","A",0
2756,1,56,0,0.531837," ","integrate((c*x)^m*(b*x^3+a)^2,x, algorithm=""maxima"")","\frac{b^{2} c^{m} x^{7} x^{m}}{m + 7} + \frac{2 \, a b c^{m} x^{4} x^{m}}{m + 4} + \frac{\left(c x\right)^{m + 1} a^{2}}{c {\left(m + 1\right)}}"," ",0,"b^2*c^m*x^7*x^m/(m + 7) + 2*a*b*c^m*x^4*x^m/(m + 4) + (c*x)^(m + 1)*a^2/(c*(m + 1))","A",0
2757,1,56,0,0.610885," ","integrate((c*x)^m*(b*x^2+a)^2,x, algorithm=""maxima"")","\frac{b^{2} c^{m} x^{5} x^{m}}{m + 5} + \frac{2 \, a b c^{m} x^{3} x^{m}}{m + 3} + \frac{\left(c x\right)^{m + 1} a^{2}}{c {\left(m + 1\right)}}"," ",0,"b^2*c^m*x^5*x^m/(m + 5) + 2*a*b*c^m*x^3*x^m/(m + 3) + (c*x)^(m + 1)*a^2/(c*(m + 1))","A",0
2758,1,56,0,0.510112," ","integrate((c*x)^m*(b*x+a)^2,x, algorithm=""maxima"")","\frac{b^{2} c^{m} x^{3} x^{m}}{m + 3} + \frac{2 \, a b c^{m} x^{2} x^{m}}{m + 2} + \frac{\left(c x\right)^{m + 1} a^{2}}{c {\left(m + 1\right)}}"," ",0,"b^2*c^m*x^3*x^m/(m + 3) + 2*a*b*c^m*x^2*x^m/(m + 2) + (c*x)^(m + 1)*a^2/(c*(m + 1))","A",0
2759,1,51,0,0.581981," ","integrate((a+b/x)^2*(c*x)^m,x, algorithm=""maxima"")","\frac{2 \, a b c^{m} x^{m}}{m} + \frac{b^{2} c^{m} x^{m}}{{\left(m - 1\right)} x} + \frac{\left(c x\right)^{m + 1} a^{2}}{c {\left(m + 1\right)}}"," ",0,"2*a*b*c^m*x^m/m + b^2*c^m*x^m/((m - 1)*x) + (c*x)^(m + 1)*a^2/(c*(m + 1))","A",0
2760,1,56,0,0.502932," ","integrate((a+b/x^2)^2*(c*x)^m,x, algorithm=""maxima"")","\frac{2 \, a b c^{m} x^{m}}{{\left(m - 1\right)} x} + \frac{\left(c x\right)^{m + 1} a^{2}}{c {\left(m + 1\right)}} + \frac{b^{2} c^{m} x^{m}}{{\left(m - 3\right)} x^{3}}"," ",0,"2*a*b*c^m*x^m/((m - 1)*x) + (c*x)^(m + 1)*a^2/(c*(m + 1)) + b^2*c^m*x^m/((m - 3)*x^3)","A",0
2761,1,56,0,0.629452," ","integrate((a+b/x^3)^2*(c*x)^m,x, algorithm=""maxima"")","\frac{\left(c x\right)^{m + 1} a^{2}}{c {\left(m + 1\right)}} + \frac{2 \, a b c^{m} x^{m}}{{\left(m - 2\right)} x^{2}} + \frac{b^{2} c^{m} x^{m}}{{\left(m - 5\right)} x^{5}}"," ",0,"(c*x)^(m + 1)*a^2/(c*(m + 1)) + 2*a*b*c^m*x^m/((m - 2)*x^2) + b^2*c^m*x^m/((m - 5)*x^5)","A",0
2762,0,0,0,0.000000," ","integrate((c*x)^(-1-1/2*n)/(a+b*x^n),x, algorithm=""maxima"")","-b \int \frac{x^{\frac{1}{2} \, n}}{a b c^{\frac{1}{2} \, n + 1} x x^{n} + a^{2} c^{\frac{1}{2} \, n + 1} x}\,{d x} - \frac{2 \, c^{-\frac{1}{2} \, n - 1}}{a n x^{\frac{1}{2} \, n}}"," ",0,"-b*integrate(x^(1/2*n)/(a*b*c^(1/2*n + 1)*x*x^n + a^2*c^(1/2*n + 1)*x), x) - 2*c^(-1/2*n - 1)/(a*n*x^(1/2*n))","F",0
2763,0,0,0,0.000000," ","integrate((c*x)^(-1-2/3*n)/(a+b*x^n),x, algorithm=""maxima"")","-b \int \frac{x^{\frac{1}{3} \, n}}{a b c^{\frac{2}{3} \, n + 1} x x^{n} + a^{2} c^{\frac{2}{3} \, n + 1} x}\,{d x} - \frac{3 \, c^{-\frac{2}{3} \, n - 1}}{2 \, a n x^{\frac{2}{3} \, n}}"," ",0,"-b*integrate(x^(1/3*n)/(a*b*c^(2/3*n + 1)*x*x^n + a^2*c^(2/3*n + 1)*x), x) - 3/2*c^(-2/3*n - 1)/(a*n*x^(2/3*n))","F",0
2764,0,0,0,0.000000," ","integrate((c*x)^(-1-3/4*n)/(a+b*x^n),x, algorithm=""maxima"")","-b \int \frac{x^{\frac{1}{4} \, n}}{a b c^{\frac{3}{4} \, n + 1} x x^{n} + a^{2} c^{\frac{3}{4} \, n + 1} x}\,{d x} - \frac{4 \, c^{-\frac{3}{4} \, n - 1}}{3 \, a n x^{\frac{3}{4} \, n}}"," ",0,"-b*integrate(x^(1/4*n)/(a*b*c^(3/4*n + 1)*x*x^n + a^2*c^(3/4*n + 1)*x), x) - 4/3*c^(-3/4*n - 1)/(a*n*x^(3/4*n))","F",0
2765,1,63,0,0.623204," ","integrate((c*x)^(-1-n)/(a+b*x^n),x, algorithm=""maxima"")","-\frac{b c^{-n - 1} \log\left(x\right)}{a^{2}} + \frac{b c^{-n - 1} \log\left(\frac{b x^{n} + a}{b}\right)}{a^{2} n} - \frac{c^{-n - 1}}{a n x^{n}}"," ",0,"-b*c^(-n - 1)*log(x)/a^2 + b*c^(-n - 1)*log((b*x^n + a)/b)/(a^2*n) - c^(-n - 1)/(a*n*x^n)","A",0
2766,0,0,0,0.000000," ","integrate((c*x)^(-1-1/2*n)/(a+b*x^n),x, algorithm=""maxima"")","-b \int \frac{x^{\frac{1}{2} \, n}}{a b c^{\frac{1}{2} \, n + 1} x x^{n} + a^{2} c^{\frac{1}{2} \, n + 1} x}\,{d x} - \frac{2 \, c^{-\frac{1}{2} \, n - 1}}{a n x^{\frac{1}{2} \, n}}"," ",0,"-b*integrate(x^(1/2*n)/(a*b*c^(1/2*n + 1)*x*x^n + a^2*c^(1/2*n + 1)*x), x) - 2*c^(-1/2*n - 1)/(a*n*x^(1/2*n))","F",0
2767,0,0,0,0.000000," ","integrate((c*x)^(-1-1/3*n)/(a+b*x^n),x, algorithm=""maxima"")","-b \int \frac{x^{\frac{2}{3} \, n}}{a b c^{\frac{1}{3} \, n + 1} x x^{n} + a^{2} c^{\frac{1}{3} \, n + 1} x}\,{d x} - \frac{3 \, c^{-\frac{1}{3} \, n - 1}}{a n x^{\frac{1}{3} \, n}}"," ",0,"-b*integrate(x^(2/3*n)/(a*b*c^(1/3*n + 1)*x*x^n + a^2*c^(1/3*n + 1)*x), x) - 3*c^(-1/3*n - 1)/(a*n*x^(1/3*n))","F",0
2768,0,0,0,0.000000," ","integrate((c*x)^(-1-1/4*n)/(a+b*x^n),x, algorithm=""maxima"")","-b \int \frac{x^{\frac{3}{4} \, n}}{a b c^{\frac{1}{4} \, n + 1} x x^{n} + a^{2} c^{\frac{1}{4} \, n + 1} x}\,{d x} - \frac{4 \, c^{-\frac{1}{4} \, n - 1}}{a n x^{\frac{1}{4} \, n}}"," ",0,"-b*integrate(x^(3/4*n)/(a*b*c^(1/4*n + 1)*x*x^n + a^2*c^(1/4*n + 1)*x), x) - 4*c^(-1/4*n - 1)/(a*n*x^(1/4*n))","F",0
2769,0,0,0,0.000000," ","integrate((c*x)^(-1-3/2*n)/(a+b*x^n),x, algorithm=""maxima"")","b^{2} \int \frac{x^{\frac{1}{2} \, n}}{a^{2} b c^{\frac{3}{2} \, n + 1} x x^{n} + a^{3} c^{\frac{3}{2} \, n + 1} x}\,{d x} + \frac{2 \, {\left(3 \, b x^{n} - a\right)} c^{-\frac{3}{2} \, n - 1}}{3 \, a^{2} n x^{\frac{3}{2} \, n}}"," ",0,"b^2*integrate(x^(1/2*n)/(a^2*b*c^(3/2*n + 1)*x*x^n + a^3*c^(3/2*n + 1)*x), x) + 2/3*(3*b*x^n - a)*c^(-3/2*n - 1)/(a^2*n*x^(3/2*n))","F",0
2770,0,0,0,0.000000," ","integrate((c*x)^(-1-4/3*n)/(a+b*x^n),x, algorithm=""maxima"")","b^{2} \int \frac{x^{\frac{2}{3} \, n}}{a^{2} b c^{\frac{4}{3} \, n + 1} x x^{n} + a^{3} c^{\frac{4}{3} \, n + 1} x}\,{d x} + \frac{3 \, {\left(4 \, b x^{n} - a\right)} c^{-\frac{4}{3} \, n - 1}}{4 \, a^{2} n x^{\frac{4}{3} \, n}}"," ",0,"b^2*integrate(x^(2/3*n)/(a^2*b*c^(4/3*n + 1)*x*x^n + a^3*c^(4/3*n + 1)*x), x) + 3/4*(4*b*x^n - a)*c^(-4/3*n - 1)/(a^2*n*x^(4/3*n))","F",0
2771,0,0,0,0.000000," ","integrate((c*x)^(-1-5/4*n)/(a+b*x^n),x, algorithm=""maxima"")","b^{2} \int \frac{x^{\frac{3}{4} \, n}}{a^{2} b c^{\frac{5}{4} \, n + 1} x x^{n} + a^{3} c^{\frac{5}{4} \, n + 1} x}\,{d x} + \frac{4 \, {\left(5 \, b x^{n} - a\right)} c^{-\frac{5}{4} \, n - 1}}{5 \, a^{2} n x^{\frac{5}{4} \, n}}"," ",0,"b^2*integrate(x^(3/4*n)/(a^2*b*c^(5/4*n + 1)*x*x^n + a^3*c^(5/4*n + 1)*x), x) + 4/5*(5*b*x^n - a)*c^(-5/4*n - 1)/(a^2*n*x^(5/4*n))","F",0
2772,0,0,0,0.000000," ","integrate((c*x)^(4+n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{c^{n + 4} x^{5}}{5 \, b} - a c^{n + 4} \int \frac{x^{4}}{b^{2} x^{n} + a b}\,{d x}"," ",0,"1/5*c^(n + 4)*x^5/b - a*c^(n + 4)*integrate(x^4/(b^2*x^n + a*b), x)","F",0
2773,0,0,0,0.000000," ","integrate((c*x)^(3+n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{c^{n + 3} x^{4}}{4 \, b} - a c^{n + 3} \int \frac{x^{3}}{b^{2} x^{n} + a b}\,{d x}"," ",0,"1/4*c^(n + 3)*x^4/b - a*c^(n + 3)*integrate(x^3/(b^2*x^n + a*b), x)","F",0
2774,0,0,0,0.000000," ","integrate((c*x)^(2+n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{c^{n + 2} x^{3}}{3 \, b} - a c^{n + 2} \int \frac{x^{2}}{b^{2} x^{n} + a b}\,{d x}"," ",0,"1/3*c^(n + 2)*x^3/b - a*c^(n + 2)*integrate(x^2/(b^2*x^n + a*b), x)","F",0
2775,0,0,0,0.000000," ","integrate((c*x)^(1+n)/(a+b*x^n),x, algorithm=""maxima"")","-a c^{n + 1} \int \frac{x}{b^{2} x^{n} + a b}\,{d x} + \frac{c^{n + 1} x^{2}}{2 \, b}"," ",0,"-a*c^(n + 1)*integrate(x/(b^2*x^n + a*b), x) + 1/2*c^(n + 1)*x^2/b","F",0
2776,0,0,0,0.000000," ","integrate((c*x)^n/(a+b*x^n),x, algorithm=""maxima"")","-a c^{n} \int \frac{1}{b^{2} x^{n} + a b}\,{d x} + \frac{c^{n} x}{b}"," ",0,"-a*c^n*integrate(1/(b^2*x^n + a*b), x) + c^n*x/b","F",0
2777,1,24,0,0.700087," ","integrate((c*x)^(-1+n)/(a+b*x^n),x, algorithm=""maxima"")","\frac{c^{n - 1} \log\left(\frac{b x^{n} + a}{b}\right)}{b n}"," ",0,"c^(n - 1)*log((b*x^n + a)/b)/(b*n)","A",0
2778,0,0,0,0.000000," ","integrate((c*x)^(-2+n)/(a+b*x^n),x, algorithm=""maxima"")","-a c^{n} \int \frac{1}{b^{2} c^{2} x^{2} x^{n} + a b c^{2} x^{2}}\,{d x} - \frac{c^{n - 2}}{b x}"," ",0,"-a*c^n*integrate(1/(b^2*c^2*x^2*x^n + a*b*c^2*x^2), x) - c^(n - 2)/(b*x)","F",0
2779,0,0,0,0.000000," ","integrate((c*x)^(-3+n)/(a+b*x^n),x, algorithm=""maxima"")","-a c^{n} \int \frac{1}{b^{2} c^{3} x^{3} x^{n} + a b c^{3} x^{3}}\,{d x} - \frac{c^{n - 3}}{2 \, b x^{2}}"," ",0,"-a*c^n*integrate(1/(b^2*c^3*x^3*x^n + a*b*c^3*x^3), x) - 1/2*c^(n - 3)/(b*x^2)","F",0
2780,1,22,0,0.549789," ","integrate((c*x)^(-1+n)/(a+b*x^n)^2,x, algorithm=""maxima"")","-\frac{c^{n}}{b^{2} c n x^{n} + a b c n}"," ",0,"-c^n/(b^2*c*n*x^n + a*b*c*n)","A",0
2781,0,0,0,0.000000," ","integrate((c*x)^(-1+7/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{7}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate((c*x)^(7/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2782,0,0,0,0.000000," ","integrate((c*x)^(-1+5/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{5}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate((c*x)^(5/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2783,0,0,0,0.000000," ","integrate((c*x)^(-1+3/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{3}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate((c*x)^(3/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2784,0,0,0,0.000000," ","integrate((c*x)^(-1+1/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{\frac{1}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate((c*x)^(1/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2785,0,0,0,0.000000," ","integrate((c*x)^(-1-1/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{-\frac{1}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate((c*x)^(-1/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2786,0,0,0,0.000000," ","integrate((c*x)^(-1-3/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{-\frac{3}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate((c*x)^(-3/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2787,0,0,0,0.000000," ","integrate((c*x)^(-1-5/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{-\frac{5}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate((c*x)^(-5/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2788,0,0,0,0.000000," ","integrate((c*x)^(-1-7/2*n)/(a+b*x^n)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(c x\right)^{-\frac{7}{2} \, n - 1}}{\sqrt{b x^{n} + a}}\,{d x}"," ",0,"integrate((c*x)^(-7/2*n - 1)/sqrt(b*x^n + a), x)","F",0
2789,0,0,0,0.000000," ","integrate((c*x)^m*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} \left(c x\right)^{m}\,{d x}"," ",0,"integrate((b*x^n + a)^p*(c*x)^m, x)","F",0
2790,0,0,0,0.000000," ","integrate((c*x)^(3*n)*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} \left(c x\right)^{3 \, n}\,{d x}"," ",0,"integrate((b*x^n + a)^p*(c*x)^(3*n), x)","F",0
2791,0,0,0,0.000000," ","integrate((c*x)^(2*n)*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} \left(c x\right)^{2 \, n}\,{d x}"," ",0,"integrate((b*x^n + a)^p*(c*x)^(2*n), x)","F",0
2792,0,0,0,0.000000," ","integrate((c*x)^n*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} \left(c x\right)^{n}\,{d x}"," ",0,"integrate((b*x^n + a)^p*(c*x)^n, x)","F",0
2793,0,0,0,0.000000," ","integrate((a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p}\,{d x}"," ",0,"integrate((b*x^n + a)^p, x)","F",0
2794,0,0,0,0.000000," ","integrate((a+b*x^n)^p/((c*x)^n),x, algorithm=""maxima"")","\int \frac{{\left(b x^{n} + a\right)}^{p}}{\left(c x\right)^{n}}\,{d x}"," ",0,"integrate((b*x^n + a)^p/(c*x)^n, x)","F",0
2795,0,0,0,0.000000," ","integrate((a+b*x^n)^p/((c*x)^(2*n)),x, algorithm=""maxima"")","\int \frac{{\left(b x^{n} + a\right)}^{p}}{\left(c x\right)^{2 \, n}}\,{d x}"," ",0,"integrate((b*x^n + a)^p/(c*x)^(2*n), x)","F",0
2796,0,0,0,0.000000," ","integrate((a+b*x^n)^p/((c*x)^(3*n)),x, algorithm=""maxima"")","\int \frac{{\left(b x^{n} + a\right)}^{p}}{\left(c x\right)^{3 \, n}}\,{d x}"," ",0,"integrate((b*x^n + a)^p/(c*x)^(3*n), x)","F",0
2797,0,0,0,0.000000," ","integrate((c*x)^(-n*p-1)*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} \left(c x\right)^{-n p - 1}\,{d x}"," ",0,"integrate((b*x^n + a)^p*(c*x)^(-n*p - 1), x)","F",0
2798,0,0,0,0.000000," ","integrate((c*x)^(-n*p-n-1)*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} \left(c x\right)^{-n p - n - 1}\,{d x}"," ",0,"integrate((b*x^n + a)^p*(c*x)^(-n*p - n - 1), x)","F",0
2799,0,0,0,0.000000," ","integrate((c*x)^(-n*p-2*n-1)*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} \left(c x\right)^{-n p - 2 \, n - 1}\,{d x}"," ",0,"integrate((b*x^n + a)^p*(c*x)^(-n*p - 2*n - 1), x)","F",0
2800,0,0,0,0.000000," ","integrate((c*x)^(-n*p-3*n-1)*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} \left(c x\right)^{-n p - 3 \, n - 1}\,{d x}"," ",0,"integrate((b*x^n + a)^p*(c*x)^(-n*p - 3*n - 1), x)","F",0
2801,0,0,0,0.000000," ","integrate((c*x)^(-n*p-4*n-1)*(a+b*x^n)^p,x, algorithm=""maxima"")","\int {\left(b x^{n} + a\right)}^{p} \left(c x\right)^{-n p - 4 \, n - 1}\,{d x}"," ",0,"integrate((b*x^n + a)^p*(c*x)^(-n*p - 4*n - 1), x)","F",0
2802,1,54,0,0.589139," ","integrate((c*(b*x+a)^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(b^{2} c x^{2} + 2 \, a b c x + a^{2} c\right)}^{\frac{5}{2}} x + \frac{{\left(b^{2} c x^{2} + 2 \, a b c x + a^{2} c\right)}^{\frac{5}{2}} a}{6 \, b}"," ",0,"1/6*(b^2*c*x^2 + 2*a*b*c*x + a^2*c)^(5/2)*x + 1/6*(b^2*c*x^2 + 2*a*b*c*x + a^2*c)^(5/2)*a/b","B",0
2803,1,54,0,0.534824," ","integrate((c*(b*x+a)^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(b^{2} c x^{2} + 2 \, a b c x + a^{2} c\right)}^{\frac{3}{2}} x + \frac{{\left(b^{2} c x^{2} + 2 \, a b c x + a^{2} c\right)}^{\frac{3}{2}} a}{4 \, b}"," ",0,"1/4*(b^2*c*x^2 + 2*a*b*c*x + a^2*c)^(3/2)*x + 1/4*(b^2*c*x^2 + 2*a*b*c*x + a^2*c)^(3/2)*a/b","B",0
2804,1,54,0,0.644374," ","integrate((c*(b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{b^{2} c x^{2} + 2 \, a b c x + a^{2} c} x + \frac{\sqrt{b^{2} c x^{2} + 2 \, a b c x + a^{2} c} a}{2 \, b}"," ",0,"1/2*sqrt(b^2*c*x^2 + 2*a*b*c*x + a^2*c)*x + 1/2*sqrt(b^2*c*x^2 + 2*a*b*c*x + a^2*c)*a/b","B",0
2805,1,15,0,0.532046," ","integrate(1/(c*(b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(x + \frac{a}{b}\right)}{b \sqrt{c}}"," ",0,"log(x + a/b)/(b*sqrt(c))","A",0
2806,1,17,0,0.550261," ","integrate(1/(c*(b*x+a)^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{2 \, b^{3} c^{\frac{3}{2}} {\left(x + \frac{a}{b}\right)}^{2}}"," ",0,"-1/2/(b^3*c^(3/2)*(x + a/b)^2)","A",0
2807,1,17,0,0.555321," ","integrate(1/(c*(b*x+a)^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{4 \, b^{5} c^{\frac{5}{2}} {\left(x + \frac{a}{b}\right)}^{4}}"," ",0,"-1/4/(b^5*c^(5/2)*(x + a/b)^4)","A",0
2808,1,30,0,1.379747," ","integrate(((3+5*x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{25 \, x^{2} + 30 \, x + 9} x + \frac{3}{10} \, \sqrt{25 \, x^{2} + 30 \, x + 9}"," ",0,"1/2*sqrt(25*x^2 + 30*x + 9)*x + 3/10*sqrt(25*x^2 + 30*x + 9)","A",0
2809,1,29,0,1.231797," ","integrate(((6+10*x)^2)^(1/2),x, algorithm=""maxima"")","\sqrt{25 \, x^{2} + 30 \, x + 9} x + \frac{3}{5} \, \sqrt{25 \, x^{2} + 30 \, x + 9}"," ",0,"sqrt(25*x^2 + 30*x + 9)*x + 3/5*sqrt(25*x^2 + 30*x + 9)","A",0
2810,1,6,0,1.259472," ","integrate(1/((3+5*x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{5} \, \log\left(x + \frac{3}{5}\right)"," ",0,"1/5*log(x + 3/5)","A",0
2811,1,6,0,1.125791," ","integrate(1/((6+10*x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{10} \, \log\left(x + \frac{3}{5}\right)"," ",0,"1/10*log(x + 3/5)","A",0
2812,1,6,0,1.291863," ","integrate(1/(-(2+3*x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} i \, \log\left(x + \frac{2}{3}\right)"," ",0,"1/3*I*log(x + 2/3)","C",0
2813,1,108,0,0.636777," ","integrate((c*(b*x+a)^3)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b^{7} c^{\frac{5}{2}} x^{7} + 7 \, a b^{6} c^{\frac{5}{2}} x^{6} + 21 \, a^{2} b^{5} c^{\frac{5}{2}} x^{5} + 35 \, a^{3} b^{4} c^{\frac{5}{2}} x^{4} + 35 \, a^{4} b^{3} c^{\frac{5}{2}} x^{3} + 21 \, a^{5} b^{2} c^{\frac{5}{2}} x^{2} + 7 \, a^{6} b c^{\frac{5}{2}} x + a^{7} c^{\frac{5}{2}}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{17 \, b}"," ",0,"2/17*(b^7*c^(5/2)*x^7 + 7*a*b^6*c^(5/2)*x^6 + 21*a^2*b^5*c^(5/2)*x^5 + 35*a^3*b^4*c^(5/2)*x^4 + 35*a^4*b^3*c^(5/2)*x^3 + 21*a^5*b^2*c^(5/2)*x^2 + 7*a^6*b*c^(5/2)*x + a^7*c^(5/2))*(b*x + a)^(3/2)/b","B",0
2814,1,66,0,0.691458," ","integrate((c*(b*x+a)^3)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b^{4} c^{\frac{3}{2}} x^{4} + 4 \, a b^{3} c^{\frac{3}{2}} x^{3} + 6 \, a^{2} b^{2} c^{\frac{3}{2}} x^{2} + 4 \, a^{3} b c^{\frac{3}{2}} x + a^{4} c^{\frac{3}{2}}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{11 \, b}"," ",0,"2/11*(b^4*c^(3/2)*x^4 + 4*a*b^3*c^(3/2)*x^3 + 6*a^2*b^2*c^(3/2)*x^2 + 4*a^3*b*c^(3/2)*x + a^4*c^(3/2))*(b*x + a)^(3/2)/b","B",0
2815,1,24,0,0.816555," ","integrate((c*(b*x+a)^3)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{c} x + a \sqrt{c}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{5 \, b}"," ",0,"2/5*(b*sqrt(c)*x + a*sqrt(c))*(b*x + a)^(3/2)/b","A",0
2816,1,27,0,0.677744," ","integrate(1/(c*(b*x+a)^3)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(b \sqrt{c} x + a \sqrt{c}\right)}}{{\left(b x + a\right)}^{\frac{3}{2}} b c}"," ",0,"-2*(b*sqrt(c)*x + a*sqrt(c))/((b*x + a)^(3/2)*b*c)","A",0
2817,1,43,0,0.669644," ","integrate(1/(c*(b*x+a)^3)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{c}}{7 \, {\left(b^{3} c^{2} x^{2} + 2 \, a b^{2} c^{2} x + a^{2} b c^{2}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}"," ",0,"-2/7*sqrt(c)/((b^3*c^2*x^2 + 2*a*b^2*c^2*x + a^2*b*c^2)*(b*x + a)^(3/2))","A",0
2818,1,85,0,0.787163," ","integrate(1/(c*(b*x+a)^3)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{c}}{13 \, {\left(b^{6} c^{3} x^{5} + 5 \, a b^{5} c^{3} x^{4} + 10 \, a^{2} b^{4} c^{3} x^{3} + 10 \, a^{3} b^{3} c^{3} x^{2} + 5 \, a^{4} b^{2} c^{3} x + a^{5} b c^{3}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}"," ",0,"-2/13*sqrt(c)/((b^6*c^3*x^5 + 5*a*b^5*c^3*x^4 + 10*a^2*b^4*c^3*x^3 + 10*a^3*b^3*c^3*x^2 + 5*a^4*b^2*c^3*x + a^5*b*c^3)*(b*x + a)^(3/2))","B",0
2819,1,17,0,0.618904," ","integrate((c/(b*x+a))^(5/2),x, algorithm=""maxima"")","-\frac{2 \, c \left(\frac{c}{b x + a}\right)^{\frac{3}{2}}}{3 \, b}"," ",0,"-2/3*c*(c/(b*x + a))^(3/2)/b","A",0
2820,1,17,0,0.537543," ","integrate((c/(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, c \sqrt{\frac{c}{b x + a}}}{b}"," ",0,"-2*c*sqrt(c/(b*x + a))/b","A",0
2821,1,17,0,0.560650," ","integrate((c/(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, c}{b \sqrt{\frac{c}{b x + a}}}"," ",0,"2*c/(b*sqrt(c/(b*x + a)))","A",0
2822,1,17,0,0.628470," ","integrate(1/(c/(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, c}{3 \, b \left(\frac{c}{b x + a}\right)^{\frac{3}{2}}}"," ",0,"2/3*c/(b*(c/(b*x + a))^(3/2))","A",0
2823,1,17,0,0.498992," ","integrate(1/(c/(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, c}{5 \, b \left(\frac{c}{b x + a}\right)^{\frac{5}{2}}}"," ",0,"2/5*c/(b*(c/(b*x + a))^(5/2))","A",0
2824,1,17,0,0.620536," ","integrate(1/(c/(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, c}{7 \, b \left(\frac{c}{b x + a}\right)^{\frac{7}{2}}}"," ",0,"2/7*c/(b*(c/(b*x + a))^(7/2))","A",0
2825,1,49,0,0.666005," ","integrate((c/(b*x+a)^2)^(5/2),x, algorithm=""maxima"")","-\frac{c^{\frac{5}{2}}}{4 \, {\left(b^{5} x^{4} + 4 \, a b^{4} x^{3} + 6 \, a^{2} b^{3} x^{2} + 4 \, a^{3} b^{2} x + a^{4} b\right)}}"," ",0,"-1/4*c^(5/2)/(b^5*x^4 + 4*a*b^4*x^3 + 6*a^2*b^3*x^2 + 4*a^3*b^2*x + a^4*b)","A",0
2826,1,27,0,0.659070," ","integrate((c/(b*x+a)^2)^(3/2),x, algorithm=""maxima"")","-\frac{c^{\frac{3}{2}}}{2 \, {\left(b^{3} x^{2} + 2 \, a b^{2} x + a^{2} b\right)}}"," ",0,"-1/2*c^(3/2)/(b^3*x^2 + 2*a*b^2*x + a^2*b)","A",0
2827,1,13,0,0.664821," ","integrate((c/(b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c} \log\left(b x + a\right)}{b}"," ",0,"sqrt(c)*log(b*x + a)/b","A",0
2828,1,15,0,0.612478," ","integrate(1/(c/(b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{b x^{2} + 2 \, a x}{2 \, \sqrt{c}}"," ",0,"1/2*(b*x^2 + 2*a*x)/sqrt(c)","A",0
2829,1,37,0,0.583189," ","integrate(1/(c/(b*x+a)^2)^(3/2),x, algorithm=""maxima"")","\frac{b^{3} x^{4} + 4 \, a b^{2} x^{3} + 6 \, a^{2} b x^{2} + 4 \, a^{3} x}{4 \, c^{\frac{3}{2}}}"," ",0,"1/4*(b^3*x^4 + 4*a*b^2*x^3 + 6*a^2*b*x^2 + 4*a^3*x)/c^(3/2)","A",0
2830,1,59,0,0.709020," ","integrate(1/(c/(b*x+a)^2)^(5/2),x, algorithm=""maxima"")","\frac{b^{5} x^{6} + 6 \, a b^{4} x^{5} + 15 \, a^{2} b^{3} x^{4} + 20 \, a^{3} b^{2} x^{3} + 15 \, a^{4} b x^{2} + 6 \, a^{5} x}{6 \, c^{\frac{5}{2}}}"," ",0,"1/6*(b^5*x^6 + 6*a*b^4*x^5 + 15*a^2*b^3*x^4 + 20*a^3*b^2*x^3 + 15*a^4*b*x^2 + 6*a^5*x)/c^(5/2)","B",0
2831,1,24,0,0.688559," ","integrate((c/(b*x+a)^3)^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(b c^{\frac{5}{2}} x + a c^{\frac{5}{2}}\right)}}{13 \, {\left(b x + a\right)}^{\frac{15}{2}} b}"," ",0,"-2/13*(b*c^(5/2)*x + a*c^(5/2))/((b*x + a)^(15/2)*b)","A",0
2832,1,24,0,0.602210," ","integrate((c/(b*x+a)^3)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(b c^{\frac{3}{2}} x + a c^{\frac{3}{2}}\right)}}{7 \, {\left(b x + a\right)}^{\frac{9}{2}} b}"," ",0,"-2/7*(b*c^(3/2)*x + a*c^(3/2))/((b*x + a)^(9/2)*b)","A",0
2833,1,24,0,0.565797," ","integrate((c/(b*x+a)^3)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(b \sqrt{c} x + a \sqrt{c}\right)}}{{\left(b x + a\right)}^{\frac{3}{2}} b}"," ",0,"-2*(b*sqrt(c)*x + a*sqrt(c))/((b*x + a)^(3/2)*b)","A",0
2834,1,27,0,0.563585," ","integrate(1/(c/(b*x+a)^3)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{c} x + a \sqrt{c}\right)} {\left(b x + a\right)}^{\frac{3}{2}}}{5 \, b c}"," ",0,"2/5*(b*sqrt(c)*x + a*sqrt(c))*(b*x + a)^(3/2)/(b*c)","A",0
2835,1,27,0,0.725123," ","integrate(1/(c/(b*x+a)^3)^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{c} x + a \sqrt{c}\right)} {\left(b x + a\right)}^{\frac{9}{2}}}{11 \, b c^{2}}"," ",0,"2/11*(b*sqrt(c)*x + a*sqrt(c))*(b*x + a)^(9/2)/(b*c^2)","A",0
2836,1,27,0,0.573486," ","integrate(1/(c/(b*x+a)^3)^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(b \sqrt{c} x + a \sqrt{c}\right)} {\left(b x + a\right)}^{\frac{15}{2}}}{17 \, b c^{3}}"," ",0,"2/17*(b*sqrt(c)*x + a*sqrt(c))*(b*x + a)^(15/2)/(b*c^3)","A",0
2837,1,21,0,0.504214," ","integrate((c*(b*x+a)^(3/2))^(2/3),x, algorithm=""maxima"")","\frac{\left({\left(b x + a\right)}^{\frac{3}{2}} c\right)^{\frac{2}{3}} {\left(b x + a\right)}}{2 \, b}"," ",0,"1/2*((b*x + a)^(3/2)*c)^(2/3)*(b*x + a)/b","A",0
2838,1,15,0,0.523574," ","integrate((c*(b*x+a)^(2/3))^(3/2),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} c^{\frac{3}{2}}"," ",0,"1/2*(b*x^2 + 2*a*x)*c^(3/2)","A",0
2839,1,21,0,0.666890," ","integrate(1/(c/(b*x+a)^(3/2))^(2/3),x, algorithm=""maxima"")","\frac{b x + a}{2 \, b \left(\frac{c}{{\left(b x + a\right)}^{\frac{3}{2}}}\right)^{\frac{2}{3}}}"," ",0,"1/2*(b*x + a)/(b*(c/(b*x + a)^(3/2))^(2/3))","A",0
2840,1,15,0,0.477598," ","integrate(1/(c/(b*x+a)^(2/3))^(3/2),x, algorithm=""maxima"")","\frac{b x^{2} + 2 \, a x}{2 \, c^{\frac{3}{2}}}"," ",0,"1/2*(b*x^2 + 2*a*x)/c^(3/2)","A",0
2841,1,86,0,0.534626," ","integrate((d*x+c)^3*(a+b*(d*x+c)^2),x, algorithm=""maxima"")","\frac{1}{6} \, b d^{5} x^{6} + b c d^{4} x^{5} + \frac{1}{4} \, {\left(10 \, b c^{2} + a\right)} d^{3} x^{4} + \frac{1}{3} \, {\left(10 \, b c^{3} + 3 \, a c\right)} d^{2} x^{3} + \frac{1}{2} \, {\left(5 \, b c^{4} + 3 \, a c^{2}\right)} d x^{2} + {\left(b c^{5} + a c^{3}\right)} x"," ",0,"1/6*b*d^5*x^6 + b*c*d^4*x^5 + 1/4*(10*b*c^2 + a)*d^3*x^4 + 1/3*(10*b*c^3 + 3*a*c)*d^2*x^3 + 1/2*(5*b*c^4 + 3*a*c^2)*d*x^2 + (b*c^5 + a*c^3)*x","B",0
2842,1,176,0,0.505001," ","integrate((d*x+c)^3*(a+b*(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{1}{8} \, b^{2} d^{7} x^{8} + b^{2} c d^{6} x^{7} + \frac{1}{6} \, {\left(21 \, b^{2} c^{2} + 2 \, a b\right)} d^{5} x^{6} + {\left(7 \, b^{2} c^{3} + 2 \, a b c\right)} d^{4} x^{5} + \frac{1}{4} \, {\left(35 \, b^{2} c^{4} + 20 \, a b c^{2} + a^{2}\right)} d^{3} x^{4} + \frac{1}{3} \, {\left(21 \, b^{2} c^{5} + 20 \, a b c^{3} + 3 \, a^{2} c\right)} d^{2} x^{3} + \frac{1}{2} \, {\left(7 \, b^{2} c^{6} + 10 \, a b c^{4} + 3 \, a^{2} c^{2}\right)} d x^{2} + {\left(b^{2} c^{7} + 2 \, a b c^{5} + a^{2} c^{3}\right)} x"," ",0,"1/8*b^2*d^7*x^8 + b^2*c*d^6*x^7 + 1/6*(21*b^2*c^2 + 2*a*b)*d^5*x^6 + (7*b^2*c^3 + 2*a*b*c)*d^4*x^5 + 1/4*(35*b^2*c^4 + 20*a*b*c^2 + a^2)*d^3*x^4 + 1/3*(21*b^2*c^5 + 20*a*b*c^3 + 3*a^2*c)*d^2*x^3 + 1/2*(7*b^2*c^6 + 10*a*b*c^4 + 3*a^2*c^2)*d*x^2 + (b^2*c^7 + 2*a*b*c^5 + a^2*c^3)*x","B",0
2843,1,284,0,0.638095," ","integrate((d*x+c)^3*(a+b*(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{1}{10} \, b^{3} d^{9} x^{10} + b^{3} c d^{8} x^{9} + \frac{3}{8} \, {\left(12 \, b^{3} c^{2} + a b^{2}\right)} d^{7} x^{8} + 3 \, {\left(4 \, b^{3} c^{3} + a b^{2} c\right)} d^{6} x^{7} + \frac{1}{2} \, {\left(42 \, b^{3} c^{4} + 21 \, a b^{2} c^{2} + a^{2} b\right)} d^{5} x^{6} + \frac{3}{5} \, {\left(42 \, b^{3} c^{5} + 35 \, a b^{2} c^{3} + 5 \, a^{2} b c\right)} d^{4} x^{5} + \frac{1}{4} \, {\left(84 \, b^{3} c^{6} + 105 \, a b^{2} c^{4} + 30 \, a^{2} b c^{2} + a^{3}\right)} d^{3} x^{4} + {\left(12 \, b^{3} c^{7} + 21 \, a b^{2} c^{5} + 10 \, a^{2} b c^{3} + a^{3} c\right)} d^{2} x^{3} + \frac{3}{2} \, {\left(3 \, b^{3} c^{8} + 7 \, a b^{2} c^{6} + 5 \, a^{2} b c^{4} + a^{3} c^{2}\right)} d x^{2} + {\left(b^{3} c^{9} + 3 \, a b^{2} c^{7} + 3 \, a^{2} b c^{5} + a^{3} c^{3}\right)} x"," ",0,"1/10*b^3*d^9*x^10 + b^3*c*d^8*x^9 + 3/8*(12*b^3*c^2 + a*b^2)*d^7*x^8 + 3*(4*b^3*c^3 + a*b^2*c)*d^6*x^7 + 1/2*(42*b^3*c^4 + 21*a*b^2*c^2 + a^2*b)*d^5*x^6 + 3/5*(42*b^3*c^5 + 35*a*b^2*c^3 + 5*a^2*b*c)*d^4*x^5 + 1/4*(84*b^3*c^6 + 105*a*b^2*c^4 + 30*a^2*b*c^2 + a^3)*d^3*x^4 + (12*b^3*c^7 + 21*a*b^2*c^5 + 10*a^2*b*c^3 + a^3*c)*d^2*x^3 + 3/2*(3*b^3*c^8 + 7*a*b^2*c^6 + 5*a^2*b*c^4 + a^3*c^2)*d*x^2 + (b^3*c^9 + 3*a*b^2*c^7 + 3*a^2*b*c^5 + a^3*c^3)*x","B",0
2844,1,10,0,0.529478," ","integrate((2+x)/(1+(2+x)^2),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left({\left(x + 2\right)}^{2} + 1\right)"," ",0,"1/2*log((x + 2)^2 + 1)","A",0
2845,1,11,0,0.576479," ","integrate((2+x)/(1+(2+x)^2)^2,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left({\left(x + 2\right)}^{2} + 1\right)}}"," ",0,"-1/2/((x + 2)^2 + 1)","A",0
2846,1,11,0,0.474271," ","integrate((2+x)/(1+(2+x)^2)^3,x, algorithm=""maxima"")","-\frac{1}{4 \, {\left({\left(x + 2\right)}^{2} + 1\right)}^{2}}"," ",0,"-1/4/((x + 2)^2 + 1)^2","A",0
2847,1,300,0,0.989769," ","integrate((d*x+c)^5*(a+b*(d*x+c)^2)^p,x, algorithm=""maxima"")","\frac{{\left({\left(p^{2} + 3 \, p + 2\right)} b^{3} d^{6} x^{6} + 6 \, {\left(p^{2} + 3 \, p + 2\right)} b^{3} c d^{5} x^{5} + {\left(p^{2} + 3 \, p + 2\right)} b^{3} c^{6} + {\left(p^{2} + p\right)} a b^{2} c^{4} - 2 \, a^{2} b c^{2} p + {\left(15 \, {\left(p^{2} + 3 \, p + 2\right)} b^{3} c^{2} d^{4} + {\left(p^{2} + p\right)} a b^{2} d^{4}\right)} x^{4} + 4 \, {\left(5 \, {\left(p^{2} + 3 \, p + 2\right)} b^{3} c^{3} d^{3} + {\left(p^{2} + p\right)} a b^{2} c d^{3}\right)} x^{3} + 2 \, a^{3} + {\left(15 \, {\left(p^{2} + 3 \, p + 2\right)} b^{3} c^{4} d^{2} + 6 \, {\left(p^{2} + p\right)} a b^{2} c^{2} d^{2} - 2 \, a^{2} b d^{2} p\right)} x^{2} + 2 \, {\left(3 \, {\left(p^{2} + 3 \, p + 2\right)} b^{3} c^{5} d + 2 \, {\left(p^{2} + p\right)} a b^{2} c^{3} d - 2 \, a^{2} b c d p\right)} x\right)} {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a\right)}^{p}}{2 \, {\left(p^{3} + 6 \, p^{2} + 11 \, p + 6\right)} b^{3} d}"," ",0,"1/2*((p^2 + 3*p + 2)*b^3*d^6*x^6 + 6*(p^2 + 3*p + 2)*b^3*c*d^5*x^5 + (p^2 + 3*p + 2)*b^3*c^6 + (p^2 + p)*a*b^2*c^4 - 2*a^2*b*c^2*p + (15*(p^2 + 3*p + 2)*b^3*c^2*d^4 + (p^2 + p)*a*b^2*d^4)*x^4 + 4*(5*(p^2 + 3*p + 2)*b^3*c^3*d^3 + (p^2 + p)*a*b^2*c*d^3)*x^3 + 2*a^3 + (15*(p^2 + 3*p + 2)*b^3*c^4*d^2 + 6*(p^2 + p)*a*b^2*c^2*d^2 - 2*a^2*b*d^2*p)*x^2 + 2*(3*(p^2 + 3*p + 2)*b^3*c^5*d + 2*(p^2 + p)*a*b^2*c^3*d - 2*a^2*b*c*d*p)*x)*(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)^p/((p^3 + 6*p^2 + 11*p + 6)*b^3*d)","B",0
2848,0,0,0,0.000000," ","integrate((d*x+c)^4*(a+b*(d*x+c)^2)^p,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{4} {\left({\left(d x + c\right)}^{2} b + a\right)}^{p}\,{d x}"," ",0,"integrate((d*x + c)^4*((d*x + c)^2*b + a)^p, x)","F",0
2849,1,140,0,1.016682," ","integrate((d*x+c)^3*(a+b*(d*x+c)^2)^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} d^{4} {\left(p + 1\right)} x^{4} + 4 \, b^{2} c d^{3} {\left(p + 1\right)} x^{3} + b^{2} c^{4} {\left(p + 1\right)} + a b c^{2} p + {\left(6 \, b^{2} c^{2} d^{2} {\left(p + 1\right)} + a b d^{2} p\right)} x^{2} - a^{2} + 2 \, {\left(2 \, b^{2} c^{3} d {\left(p + 1\right)} + a b c d p\right)} x\right)} {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a\right)}^{p}}{2 \, {\left(p^{2} + 3 \, p + 2\right)} b^{2} d}"," ",0,"1/2*(b^2*d^4*(p + 1)*x^4 + 4*b^2*c*d^3*(p + 1)*x^3 + b^2*c^4*(p + 1) + a*b*c^2*p + (6*b^2*c^2*d^2*(p + 1) + a*b*d^2*p)*x^2 - a^2 + 2*(2*b^2*c^3*d*(p + 1) + a*b*c*d*p)*x)*(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)^p/((p^2 + 3*p + 2)*b^2*d)","B",0
2850,0,0,0,0.000000," ","integrate((d*x+c)^2*(a+b*(d*x+c)^2)^p,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{2} {\left({\left(d x + c\right)}^{2} b + a\right)}^{p}\,{d x}"," ",0,"integrate((d*x + c)^2*((d*x + c)^2*b + a)^p, x)","F",0
2851,1,28,0,0.528978," ","integrate((d*x+c)*(a+b*(d*x+c)^2)^p,x, algorithm=""maxima"")","\frac{{\left({\left(d x + c\right)}^{2} b + a\right)}^{p + 1}}{2 \, b d {\left(p + 1\right)}}"," ",0,"1/2*((d*x + c)^2*b + a)^(p + 1)/(b*d*(p + 1))","A",0
2852,0,0,0,0.000000," ","integrate((a+b*(d*x+c)^2)^p/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left({\left(d x + c\right)}^{2} b + a\right)}^{p}}{d x + c}\,{d x}"," ",0,"integrate(((d*x + c)^2*b + a)^p/(d*x + c), x)","F",0
2853,1,95,0,0.514981," ","integrate((d*x+c)^3*(a+b*(d*x+c)^3),x, algorithm=""maxima"")","\frac{1}{7} \, b d^{6} x^{7} + b c d^{5} x^{6} + 3 \, b c^{2} d^{4} x^{5} + \frac{1}{4} \, {\left(20 \, b c^{3} + a\right)} d^{3} x^{4} + {\left(5 \, b c^{4} + a c\right)} d^{2} x^{3} + \frac{3}{2} \, {\left(2 \, b c^{5} + a c^{2}\right)} d x^{2} + {\left(b c^{6} + a c^{3}\right)} x"," ",0,"1/7*b*d^6*x^7 + b*c*d^5*x^6 + 3*b*c^2*d^4*x^5 + 1/4*(20*b*c^3 + a)*d^3*x^4 + (5*b*c^4 + a*c)*d^2*x^3 + 3/2*(2*b*c^5 + a*c^2)*d*x^2 + (b*c^6 + a*c^3)*x","B",0
2854,1,210,0,0.634350," ","integrate((d*x+c)^3*(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","\frac{1}{10} \, b^{2} d^{9} x^{10} + b^{2} c d^{8} x^{9} + \frac{9}{2} \, b^{2} c^{2} d^{7} x^{8} + \frac{2}{7} \, {\left(42 \, b^{2} c^{3} + a b\right)} d^{6} x^{7} + {\left(21 \, b^{2} c^{4} + 2 \, a b c\right)} d^{5} x^{6} + \frac{6}{5} \, {\left(21 \, b^{2} c^{5} + 5 \, a b c^{2}\right)} d^{4} x^{5} + \frac{1}{4} \, {\left(84 \, b^{2} c^{6} + 40 \, a b c^{3} + a^{2}\right)} d^{3} x^{4} + {\left(12 \, b^{2} c^{7} + 10 \, a b c^{4} + a^{2} c\right)} d^{2} x^{3} + \frac{3}{2} \, {\left(3 \, b^{2} c^{8} + 4 \, a b c^{5} + a^{2} c^{2}\right)} d x^{2} + {\left(b^{2} c^{9} + 2 \, a b c^{6} + a^{2} c^{3}\right)} x"," ",0,"1/10*b^2*d^9*x^10 + b^2*c*d^8*x^9 + 9/2*b^2*c^2*d^7*x^8 + 2/7*(42*b^2*c^3 + a*b)*d^6*x^7 + (21*b^2*c^4 + 2*a*b*c)*d^5*x^6 + 6/5*(21*b^2*c^5 + 5*a*b*c^2)*d^4*x^5 + 1/4*(84*b^2*c^6 + 40*a*b*c^3 + a^2)*d^3*x^4 + (12*b^2*c^7 + 10*a*b*c^4 + a^2*c)*d^2*x^3 + 3/2*(3*b^2*c^8 + 4*a*b*c^5 + a^2*c^2)*d*x^2 + (b^2*c^9 + 2*a*b*c^6 + a^2*c^3)*x","B",0
2855,1,359,0,0.580486," ","integrate((d*x+c)^3*(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{1}{13} \, b^{3} d^{12} x^{13} + b^{3} c d^{11} x^{12} + 6 \, b^{3} c^{2} d^{10} x^{11} + \frac{1}{10} \, {\left(220 \, b^{3} c^{3} + 3 \, a b^{2}\right)} d^{9} x^{10} + {\left(55 \, b^{3} c^{4} + 3 \, a b^{2} c\right)} d^{8} x^{9} + \frac{9}{2} \, {\left(22 \, b^{3} c^{5} + 3 \, a b^{2} c^{2}\right)} d^{7} x^{8} + \frac{3}{7} \, {\left(308 \, b^{3} c^{6} + 84 \, a b^{2} c^{3} + a^{2} b\right)} d^{6} x^{7} + 3 \, {\left(44 \, b^{3} c^{7} + 21 \, a b^{2} c^{4} + a^{2} b c\right)} d^{5} x^{6} + \frac{9}{5} \, {\left(55 \, b^{3} c^{8} + 42 \, a b^{2} c^{5} + 5 \, a^{2} b c^{2}\right)} d^{4} x^{5} + \frac{1}{4} \, {\left(220 \, b^{3} c^{9} + 252 \, a b^{2} c^{6} + 60 \, a^{2} b c^{3} + a^{3}\right)} d^{3} x^{4} + {\left(22 \, b^{3} c^{10} + 36 \, a b^{2} c^{7} + 15 \, a^{2} b c^{4} + a^{3} c\right)} d^{2} x^{3} + \frac{3}{2} \, {\left(4 \, b^{3} c^{11} + 9 \, a b^{2} c^{8} + 6 \, a^{2} b c^{5} + a^{3} c^{2}\right)} d x^{2} + {\left(b^{3} c^{12} + 3 \, a b^{2} c^{9} + 3 \, a^{2} b c^{6} + a^{3} c^{3}\right)} x"," ",0,"1/13*b^3*d^12*x^13 + b^3*c*d^11*x^12 + 6*b^3*c^2*d^10*x^11 + 1/10*(220*b^3*c^3 + 3*a*b^2)*d^9*x^10 + (55*b^3*c^4 + 3*a*b^2*c)*d^8*x^9 + 9/2*(22*b^3*c^5 + 3*a*b^2*c^2)*d^7*x^8 + 3/7*(308*b^3*c^6 + 84*a*b^2*c^3 + a^2*b)*d^6*x^7 + 3*(44*b^3*c^7 + 21*a*b^2*c^4 + a^2*b*c)*d^5*x^6 + 9/5*(55*b^3*c^8 + 42*a*b^2*c^5 + 5*a^2*b*c^2)*d^4*x^5 + 1/4*(220*b^3*c^9 + 252*a*b^2*c^6 + 60*a^2*b*c^3 + a^3)*d^3*x^4 + (22*b^3*c^10 + 36*a*b^2*c^7 + 15*a^2*b*c^4 + a^3*c)*d^2*x^3 + 3/2*(4*b^3*c^11 + 9*a*b^2*c^8 + 6*a^2*b*c^5 + a^3*c^2)*d*x^2 + (b^3*c^12 + 3*a*b^2*c^9 + 3*a^2*b*c^6 + a^3*c^3)*x","B",0
2856,1,116,0,0.520628," ","integrate((d*e*x+c*e)^3*(a+b*(d*x+c)^3),x, algorithm=""maxima"")","\frac{1}{7} \, b d^{6} e^{3} x^{7} + b c d^{5} e^{3} x^{6} + 3 \, b c^{2} d^{4} e^{3} x^{5} + \frac{1}{4} \, {\left(20 \, b c^{3} + a\right)} d^{3} e^{3} x^{4} + {\left(5 \, b c^{4} + a c\right)} d^{2} e^{3} x^{3} + \frac{3}{2} \, {\left(2 \, b c^{5} + a c^{2}\right)} d e^{3} x^{2} + {\left(b c^{6} + a c^{3}\right)} e^{3} x"," ",0,"1/7*b*d^6*e^3*x^7 + b*c*d^5*e^3*x^6 + 3*b*c^2*d^4*e^3*x^5 + 1/4*(20*b*c^3 + a)*d^3*e^3*x^4 + (5*b*c^4 + a*c)*d^2*e^3*x^3 + 3/2*(2*b*c^5 + a*c^2)*d*e^3*x^2 + (b*c^6 + a*c^3)*e^3*x","B",0
2857,1,240,0,0.547976," ","integrate((d*e*x+c*e)^3*(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","\frac{1}{10} \, b^{2} d^{9} e^{3} x^{10} + b^{2} c d^{8} e^{3} x^{9} + \frac{9}{2} \, b^{2} c^{2} d^{7} e^{3} x^{8} + \frac{2}{7} \, {\left(42 \, b^{2} c^{3} + a b\right)} d^{6} e^{3} x^{7} + {\left(21 \, b^{2} c^{4} + 2 \, a b c\right)} d^{5} e^{3} x^{6} + \frac{6}{5} \, {\left(21 \, b^{2} c^{5} + 5 \, a b c^{2}\right)} d^{4} e^{3} x^{5} + \frac{1}{4} \, {\left(84 \, b^{2} c^{6} + 40 \, a b c^{3} + a^{2}\right)} d^{3} e^{3} x^{4} + {\left(12 \, b^{2} c^{7} + 10 \, a b c^{4} + a^{2} c\right)} d^{2} e^{3} x^{3} + \frac{3}{2} \, {\left(3 \, b^{2} c^{8} + 4 \, a b c^{5} + a^{2} c^{2}\right)} d e^{3} x^{2} + {\left(b^{2} c^{9} + 2 \, a b c^{6} + a^{2} c^{3}\right)} e^{3} x"," ",0,"1/10*b^2*d^9*e^3*x^10 + b^2*c*d^8*e^3*x^9 + 9/2*b^2*c^2*d^7*e^3*x^8 + 2/7*(42*b^2*c^3 + a*b)*d^6*e^3*x^7 + (21*b^2*c^4 + 2*a*b*c)*d^5*e^3*x^6 + 6/5*(21*b^2*c^5 + 5*a*b*c^2)*d^4*e^3*x^5 + 1/4*(84*b^2*c^6 + 40*a*b*c^3 + a^2)*d^3*e^3*x^4 + (12*b^2*c^7 + 10*a*b*c^4 + a^2*c)*d^2*e^3*x^3 + 3/2*(3*b^2*c^8 + 4*a*b*c^5 + a^2*c^2)*d*e^3*x^2 + (b^2*c^9 + 2*a*b*c^6 + a^2*c^3)*e^3*x","B",0
2858,1,398,0,0.489410," ","integrate((d*e*x+c*e)^3*(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{1}{13} \, b^{3} d^{12} e^{3} x^{13} + b^{3} c d^{11} e^{3} x^{12} + 6 \, b^{3} c^{2} d^{10} e^{3} x^{11} + \frac{1}{10} \, {\left(220 \, b^{3} c^{3} + 3 \, a b^{2}\right)} d^{9} e^{3} x^{10} + {\left(55 \, b^{3} c^{4} + 3 \, a b^{2} c\right)} d^{8} e^{3} x^{9} + \frac{9}{2} \, {\left(22 \, b^{3} c^{5} + 3 \, a b^{2} c^{2}\right)} d^{7} e^{3} x^{8} + \frac{3}{7} \, {\left(308 \, b^{3} c^{6} + 84 \, a b^{2} c^{3} + a^{2} b\right)} d^{6} e^{3} x^{7} + 3 \, {\left(44 \, b^{3} c^{7} + 21 \, a b^{2} c^{4} + a^{2} b c\right)} d^{5} e^{3} x^{6} + \frac{9}{5} \, {\left(55 \, b^{3} c^{8} + 42 \, a b^{2} c^{5} + 5 \, a^{2} b c^{2}\right)} d^{4} e^{3} x^{5} + \frac{1}{4} \, {\left(220 \, b^{3} c^{9} + 252 \, a b^{2} c^{6} + 60 \, a^{2} b c^{3} + a^{3}\right)} d^{3} e^{3} x^{4} + {\left(22 \, b^{3} c^{10} + 36 \, a b^{2} c^{7} + 15 \, a^{2} b c^{4} + a^{3} c\right)} d^{2} e^{3} x^{3} + \frac{3}{2} \, {\left(4 \, b^{3} c^{11} + 9 \, a b^{2} c^{8} + 6 \, a^{2} b c^{5} + a^{3} c^{2}\right)} d e^{3} x^{2} + {\left(b^{3} c^{12} + 3 \, a b^{2} c^{9} + 3 \, a^{2} b c^{6} + a^{3} c^{3}\right)} e^{3} x"," ",0,"1/13*b^3*d^12*e^3*x^13 + b^3*c*d^11*e^3*x^12 + 6*b^3*c^2*d^10*e^3*x^11 + 1/10*(220*b^3*c^3 + 3*a*b^2)*d^9*e^3*x^10 + (55*b^3*c^4 + 3*a*b^2*c)*d^8*e^3*x^9 + 9/2*(22*b^3*c^5 + 3*a*b^2*c^2)*d^7*e^3*x^8 + 3/7*(308*b^3*c^6 + 84*a*b^2*c^3 + a^2*b)*d^6*e^3*x^7 + 3*(44*b^3*c^7 + 21*a*b^2*c^4 + a^2*b*c)*d^5*e^3*x^6 + 9/5*(55*b^3*c^8 + 42*a*b^2*c^5 + 5*a^2*b*c^2)*d^4*e^3*x^5 + 1/4*(220*b^3*c^9 + 252*a*b^2*c^6 + 60*a^2*b*c^3 + a^3)*d^3*e^3*x^4 + (22*b^3*c^10 + 36*a*b^2*c^7 + 15*a^2*b*c^4 + a^3*c)*d^2*e^3*x^3 + 3/2*(4*b^3*c^11 + 9*a*b^2*c^8 + 6*a^2*b*c^5 + a^3*c^2)*d*e^3*x^2 + (b^3*c^12 + 3*a*b^2*c^9 + 3*a^2*b*c^6 + a^3*c^3)*e^3*x","B",0
2859,0,0,0,0.000000," ","integrate((d*x+c)^4/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{-\frac{1}{6} \, {\left(2 \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) + \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) - 2 \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)} a}{b} + \frac{d x^{2} + 2 \, c x}{2 \, b}"," ",0,"-a*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/b + 1/2*(d*x^2 + 2*c*x)/b","F",0
2860,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{\frac{1}{6} \, a {\left(\frac{2 \, \sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{d} + \frac{2 \, \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{d}\right)}}{b} + \frac{x}{b}"," ",0,"-a*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/b + x/b","F",0
2861,1,20,0,0.502707," ","integrate((d*x+c)^2/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","\frac{\log\left({\left(d x + c\right)}^{3} b + a\right)}{3 \, b d}"," ",0,"1/3*log((d*x + c)^3*b + a)/(b*d)","A",0
2862,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","\int \frac{d x + c}{{\left(d x + c\right)}^{3} b + a}\,{d x}"," ",0,"integrate((d*x + c)/((d*x + c)^3*b + a), x)","F",0
2863,0,0,0,0.000000," ","integrate(1/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x + c\right)}^{3} b + a}\,{d x}"," ",0,"integrate(1/((d*x + c)^3*b + a), x)","F",0
2864,1,56,0,0.546152," ","integrate(1/(d*x+c)/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{\log\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a\right)}{3 \, a d} + \frac{\log\left(d x + c\right)}{a d}"," ",0,"-1/3*log(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(a*d) + log(d*x + c)/(a*d)","A",0
2865,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{-\frac{1}{6} \, {\left(2 \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) + \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) - 2 \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)} b}{a} - \frac{1}{a d^{2} x + a c d}"," ",0,"-b*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/a - 1/(a*d^2*x + a*c*d)","F",0
2866,0,0,0,0.000000," ","integrate(1/(d*x+c)^3/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{\frac{1}{6} \, b {\left(\frac{2 \, \sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{d} + \frac{2 \, \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{d}\right)}}{a} - \frac{1}{2 \, {\left(a d^{3} x^{2} + 2 \, a c d^{2} x + a c^{2} d\right)}}"," ",0,"-b*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/a - 1/2/(a*d^3*x^2 + 2*a*c*d^2*x + a*c^2*d)","F",0
2867,1,98,0,0.589853," ","integrate(1/(d*x+c)^4/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(a d^{4} x^{3} + 3 \, a c d^{3} x^{2} + 3 \, a c^{2} d^{2} x + a c^{3} d\right)}} + \frac{b \log\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a\right)}{3 \, a^{2} d} - \frac{b \log\left(d x + c\right)}{a^{2} d}"," ",0,"-1/3/(a*d^4*x^3 + 3*a*c*d^3*x^2 + 3*a*c^2*d^2*x + a*c^3*d) + 1/3*b*log(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(a^2*d) - b*log(d*x + c)/(a^2*d)","A",0
2868,0,0,0,0.000000," ","integrate((d*x+c)^4/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{d^{2} x^{2} + 2 \, c d x + c^{2}}{3 \, {\left(b^{2} d^{4} x^{3} + 3 \, b^{2} c d^{3} x^{2} + 3 \, b^{2} c^{2} d^{2} x + {\left(b^{2} c^{3} + a b\right)} d\right)}} + \frac{2 \, {\left(-\frac{1}{3} \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) - \frac{1}{6} \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) + \frac{1}{3} \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)}}{3 \, b}"," ",0,"-1/3*(d^2*x^2 + 2*c*d*x + c^2)/(b^2*d^4*x^3 + 3*b^2*c*d^3*x^2 + 3*b^2*c^2*d^2*x + (b^2*c^3 + a*b)*d) + 2/3*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/b","F",0
2869,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{d x + c}{3 \, {\left(b^{2} d^{4} x^{3} + 3 \, b^{2} c d^{3} x^{2} + 3 \, b^{2} c^{2} d^{2} x + {\left(b^{2} c^{3} + a b\right)} d\right)}} + \frac{\frac{\sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{3 \, d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{6 \, d} + \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{3 \, d}}{3 \, b}"," ",0,"-1/3*(d*x + c)/(b^2*d^4*x^3 + 3*b^2*c*d^3*x^2 + 3*b^2*c^2*d^2*x + (b^2*c^3 + a*b)*d) + 1/3*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/b","F",0
2870,1,21,0,0.625214," ","integrate((d*x+c)^2/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{1}{3 \, {\left({\left(d x + c\right)}^{3} b + a\right)} b d}"," ",0,"-1/3/(((d*x + c)^3*b + a)*b*d)","A",0
2871,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","\frac{d^{2} x^{2} + 2 \, c d x + c^{2}}{3 \, {\left(a b d^{4} x^{3} + 3 \, a b c d^{3} x^{2} + 3 \, a b c^{2} d^{2} x + {\left(a b c^{3} + a^{2}\right)} d\right)}} + \frac{-\frac{1}{3} \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) - \frac{1}{6} \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) + \frac{1}{3} \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)}{3 \, a}"," ",0,"1/3*(d^2*x^2 + 2*c*d*x + c^2)/(a*b*d^4*x^3 + 3*a*b*c*d^3*x^2 + 3*a*b*c^2*d^2*x + (a*b*c^3 + a^2)*d) + 1/3*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/a","F",0
2872,0,0,0,0.000000," ","integrate(1/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","\frac{d x + c}{3 \, {\left(a b d^{4} x^{3} + 3 \, a b c d^{3} x^{2} + 3 \, a b c^{2} d^{2} x + {\left(a b c^{3} + a^{2}\right)} d\right)}} + \frac{2 \, {\left(\frac{\sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{3 \, d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{6 \, d} + \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{3 \, d}\right)}}{3 \, a}"," ",0,"1/3*(d*x + c)/(a*b*d^4*x^3 + 3*a*b*c*d^3*x^2 + 3*a*b*c^2*d^2*x + (a*b*c^3 + a^2)*d) + 2/3*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/a","F",0
2873,1,104,0,0.557837," ","integrate(1/(d*x+c)/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","\frac{1}{3 \, {\left(a b d^{4} x^{3} + 3 \, a b c d^{3} x^{2} + 3 \, a b c^{2} d^{2} x + {\left(a b c^{3} + a^{2}\right)} d\right)}} - \frac{\log\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a\right)}{3 \, a^{2} d} + \frac{\log\left(d x + c\right)}{a^{2} d}"," ",0,"1/3/(a*b*d^4*x^3 + 3*a*b*c*d^3*x^2 + 3*a*b*c^2*d^2*x + (a*b*c^3 + a^2)*d) - 1/3*log(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(a^2*d) + log(d*x + c)/(a^2*d)","A",0
2874,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{4 \, b d^{3} x^{3} + 12 \, b c d^{2} x^{2} + 12 \, b c^{2} d x + 4 \, b c^{3} + 3 \, a}{3 \, {\left(a^{2} b d^{5} x^{4} + 4 \, a^{2} b c d^{4} x^{3} + 6 \, a^{2} b c^{2} d^{3} x^{2} + {\left(4 \, a^{2} b c^{3} + a^{3}\right)} d^{2} x + {\left(a^{2} b c^{4} + a^{3} c\right)} d\right)}} - \frac{-\frac{2}{3} \, {\left(2 \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) + \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) - 2 \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)} b}{3 \, a^{2}}"," ",0,"-1/3*(4*b*d^3*x^3 + 12*b*c*d^2*x^2 + 12*b*c^2*d*x + 4*b*c^3 + 3*a)/(a^2*b*d^5*x^4 + 4*a^2*b*c*d^4*x^3 + 6*a^2*b*c^2*d^3*x^2 + (4*a^2*b*c^3 + a^3)*d^2*x + (a^2*b*c^4 + a^3*c)*d) - 4/3*b*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/a^2","F",0
2875,0,0,0,0.000000," ","integrate(1/(d*x+c)^3/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{5 \, b d^{3} x^{3} + 15 \, b c d^{2} x^{2} + 15 \, b c^{2} d x + 5 \, b c^{3} + 3 \, a}{6 \, {\left(a^{2} b d^{6} x^{5} + 5 \, a^{2} b c d^{5} x^{4} + 10 \, a^{2} b c^{2} d^{4} x^{3} + {\left(10 \, a^{2} b c^{3} + a^{3}\right)} d^{3} x^{2} + {\left(5 \, a^{2} b c^{4} + 2 \, a^{3} c\right)} d^{2} x + {\left(a^{2} b c^{5} + a^{3} c^{2}\right)} d\right)}} - \frac{\frac{5}{6} \, b {\left(\frac{2 \, \sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{d} + \frac{2 \, \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{d}\right)}}{3 \, a^{2}}"," ",0,"-1/6*(5*b*d^3*x^3 + 15*b*c*d^2*x^2 + 15*b*c^2*d*x + 5*b*c^3 + 3*a)/(a^2*b*d^6*x^5 + 5*a^2*b*c*d^5*x^4 + 10*a^2*b*c^2*d^4*x^3 + (10*a^2*b*c^3 + a^3)*d^3*x^2 + (5*a^2*b*c^4 + 2*a^3*c)*d^2*x + (a^2*b*c^5 + a^3*c^2)*d) - 5/3*b*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/a^2","F",0
2876,1,222,0,0.680886," ","integrate(1/(d*x+c)^4/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{2 \, b d^{3} x^{3} + 6 \, b c d^{2} x^{2} + 6 \, b c^{2} d x + 2 \, b c^{3} + a}{3 \, {\left(a^{2} b d^{7} x^{6} + 6 \, a^{2} b c d^{6} x^{5} + 15 \, a^{2} b c^{2} d^{5} x^{4} + {\left(20 \, a^{2} b c^{3} + a^{3}\right)} d^{4} x^{3} + 3 \, {\left(5 \, a^{2} b c^{4} + a^{3} c\right)} d^{3} x^{2} + 3 \, {\left(2 \, a^{2} b c^{5} + a^{3} c^{2}\right)} d^{2} x + {\left(a^{2} b c^{6} + a^{3} c^{3}\right)} d\right)}} + \frac{2 \, b \log\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a\right)}{3 \, a^{3} d} - \frac{2 \, b \log\left(d x + c\right)}{a^{3} d}"," ",0,"-1/3*(2*b*d^3*x^3 + 6*b*c*d^2*x^2 + 6*b*c^2*d*x + 2*b*c^3 + a)/(a^2*b*d^7*x^6 + 6*a^2*b*c*d^6*x^5 + 15*a^2*b*c^2*d^5*x^4 + (20*a^2*b*c^3 + a^3)*d^4*x^3 + 3*(5*a^2*b*c^4 + a^3*c)*d^3*x^2 + 3*(2*a^2*b*c^5 + a^3*c^2)*d^2*x + (a^2*b*c^6 + a^3*c^3)*d) + 2/3*b*log(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(a^3*d) - 2*b*log(d*x + c)/(a^3*d)","B",0
2877,0,0,0,0.000000," ","integrate((d*x+c)^4/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{2 \, b d^{5} x^{5} + 10 \, b c d^{4} x^{4} + 20 \, b c^{2} d^{3} x^{3} + 2 \, b c^{5} + {\left(20 \, b c^{3} - a\right)} d^{2} x^{2} - a c^{2} + 2 \, {\left(5 \, b c^{4} - a c\right)} d x}{18 \, {\left(a b^{3} d^{7} x^{6} + 6 \, a b^{3} c d^{6} x^{5} + 15 \, a b^{3} c^{2} d^{5} x^{4} + 2 \, {\left(10 \, a b^{3} c^{3} + a^{2} b^{2}\right)} d^{4} x^{3} + 3 \, {\left(5 \, a b^{3} c^{4} + 2 \, a^{2} b^{2} c\right)} d^{3} x^{2} + 6 \, {\left(a b^{3} c^{5} + a^{2} b^{2} c^{2}\right)} d^{2} x + {\left(a b^{3} c^{6} + 2 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d\right)}} + \frac{-\frac{1}{3} \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) - \frac{1}{6} \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) + \frac{1}{3} \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)}{9 \, a b}"," ",0,"1/18*(2*b*d^5*x^5 + 10*b*c*d^4*x^4 + 20*b*c^2*d^3*x^3 + 2*b*c^5 + (20*b*c^3 - a)*d^2*x^2 - a*c^2 + 2*(5*b*c^4 - a*c)*d*x)/(a*b^3*d^7*x^6 + 6*a*b^3*c*d^6*x^5 + 15*a*b^3*c^2*d^5*x^4 + 2*(10*a*b^3*c^3 + a^2*b^2)*d^4*x^3 + 3*(5*a*b^3*c^4 + 2*a^2*b^2*c)*d^3*x^2 + 6*(a*b^3*c^5 + a^2*b^2*c^2)*d^2*x + (a*b^3*c^6 + 2*a^2*b^2*c^3 + a^3*b)*d) + 1/9*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(a*b)","F",0
2878,0,0,0,0.000000," ","integrate((d*x+c)^3/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{b d^{4} x^{4} + 4 \, b c d^{3} x^{3} + 6 \, b c^{2} d^{2} x^{2} + b c^{4} + 2 \, {\left(2 \, b c^{3} - a\right)} d x - 2 \, a c}{18 \, {\left(a b^{3} d^{7} x^{6} + 6 \, a b^{3} c d^{6} x^{5} + 15 \, a b^{3} c^{2} d^{5} x^{4} + 2 \, {\left(10 \, a b^{3} c^{3} + a^{2} b^{2}\right)} d^{4} x^{3} + 3 \, {\left(5 \, a b^{3} c^{4} + 2 \, a^{2} b^{2} c\right)} d^{3} x^{2} + 6 \, {\left(a b^{3} c^{5} + a^{2} b^{2} c^{2}\right)} d^{2} x + {\left(a b^{3} c^{6} + 2 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d\right)}} + \frac{\frac{\sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{3 \, d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{6 \, d} + \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{3 \, d}}{9 \, a b}"," ",0,"1/18*(b*d^4*x^4 + 4*b*c*d^3*x^3 + 6*b*c^2*d^2*x^2 + b*c^4 + 2*(2*b*c^3 - a)*d*x - 2*a*c)/(a*b^3*d^7*x^6 + 6*a*b^3*c*d^6*x^5 + 15*a*b^3*c^2*d^5*x^4 + 2*(10*a*b^3*c^3 + a^2*b^2)*d^4*x^3 + 3*(5*a*b^3*c^4 + 2*a^2*b^2*c)*d^3*x^2 + 6*(a*b^3*c^5 + a^2*b^2*c^2)*d^2*x + (a*b^3*c^6 + 2*a^2*b^2*c^3 + a^3*b)*d) + 1/9*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(a*b)","F",0
2879,1,21,0,0.507609," ","integrate((d*x+c)^2/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","-\frac{1}{6 \, {\left({\left(d x + c\right)}^{3} b + a\right)}^{2} b d}"," ",0,"-1/6/(((d*x + c)^3*b + a)^2*b*d)","A",0
2880,0,0,0,0.000000," ","integrate((d*x+c)/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{4 \, b d^{5} x^{5} + 20 \, b c d^{4} x^{4} + 40 \, b c^{2} d^{3} x^{3} + 4 \, b c^{5} + {\left(40 \, b c^{3} + 7 \, a\right)} d^{2} x^{2} + 7 \, a c^{2} + 2 \, {\left(10 \, b c^{4} + 7 \, a c\right)} d x}{18 \, {\left(a^{2} b^{2} d^{7} x^{6} + 6 \, a^{2} b^{2} c d^{6} x^{5} + 15 \, a^{2} b^{2} c^{2} d^{5} x^{4} + 2 \, {\left(10 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d^{4} x^{3} + 3 \, {\left(5 \, a^{2} b^{2} c^{4} + 2 \, a^{3} b c\right)} d^{3} x^{2} + 6 \, {\left(a^{2} b^{2} c^{5} + a^{3} b c^{2}\right)} d^{2} x + {\left(a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}\right)} d\right)}} + \frac{2 \, {\left(-\frac{1}{3} \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) - \frac{1}{6} \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) + \frac{1}{3} \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)}}{9 \, a^{2}}"," ",0,"1/18*(4*b*d^5*x^5 + 20*b*c*d^4*x^4 + 40*b*c^2*d^3*x^3 + 4*b*c^5 + (40*b*c^3 + 7*a)*d^2*x^2 + 7*a*c^2 + 2*(10*b*c^4 + 7*a*c)*d*x)/(a^2*b^2*d^7*x^6 + 6*a^2*b^2*c*d^6*x^5 + 15*a^2*b^2*c^2*d^5*x^4 + 2*(10*a^2*b^2*c^3 + a^3*b)*d^4*x^3 + 3*(5*a^2*b^2*c^4 + 2*a^3*b*c)*d^3*x^2 + 6*(a^2*b^2*c^5 + a^3*b*c^2)*d^2*x + (a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4)*d) + 2/9*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/a^2","F",0
2881,0,0,0,0.000000," ","integrate(1/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{5 \, b d^{4} x^{4} + 20 \, b c d^{3} x^{3} + 30 \, b c^{2} d^{2} x^{2} + 5 \, b c^{4} + 4 \, {\left(5 \, b c^{3} + 2 \, a\right)} d x + 8 \, a c}{18 \, {\left(a^{2} b^{2} d^{7} x^{6} + 6 \, a^{2} b^{2} c d^{6} x^{5} + 15 \, a^{2} b^{2} c^{2} d^{5} x^{4} + 2 \, {\left(10 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d^{4} x^{3} + 3 \, {\left(5 \, a^{2} b^{2} c^{4} + 2 \, a^{3} b c\right)} d^{3} x^{2} + 6 \, {\left(a^{2} b^{2} c^{5} + a^{3} b c^{2}\right)} d^{2} x + {\left(a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}\right)} d\right)}} + \frac{5 \, {\left(\frac{\sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{3 \, d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{6 \, d} + \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{3 \, d}\right)}}{9 \, a^{2}}"," ",0,"1/18*(5*b*d^4*x^4 + 20*b*c*d^3*x^3 + 30*b*c^2*d^2*x^2 + 5*b*c^4 + 4*(5*b*c^3 + 2*a)*d*x + 8*a*c)/(a^2*b^2*d^7*x^6 + 6*a^2*b^2*c*d^6*x^5 + 15*a^2*b^2*c^2*d^5*x^4 + 2*(10*a^2*b^2*c^3 + a^3*b)*d^4*x^3 + 3*(5*a^2*b^2*c^4 + 2*a^3*b*c)*d^3*x^2 + 6*(a^2*b^2*c^5 + a^3*b*c^2)*d^2*x + (a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4)*d) + 5/9*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/a^2","F",0
2882,1,245,0,0.656101," ","integrate(1/(d*x+c)/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{2 \, b d^{3} x^{3} + 6 \, b c d^{2} x^{2} + 6 \, b c^{2} d x + 2 \, b c^{3} + 3 \, a}{6 \, {\left(a^{2} b^{2} d^{7} x^{6} + 6 \, a^{2} b^{2} c d^{6} x^{5} + 15 \, a^{2} b^{2} c^{2} d^{5} x^{4} + 2 \, {\left(10 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d^{4} x^{3} + 3 \, {\left(5 \, a^{2} b^{2} c^{4} + 2 \, a^{3} b c\right)} d^{3} x^{2} + 6 \, {\left(a^{2} b^{2} c^{5} + a^{3} b c^{2}\right)} d^{2} x + {\left(a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}\right)} d\right)}} - \frac{\log\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a\right)}{3 \, a^{3} d} + \frac{\log\left(d x + c\right)}{a^{3} d}"," ",0,"1/6*(2*b*d^3*x^3 + 6*b*c*d^2*x^2 + 6*b*c^2*d*x + 2*b*c^3 + 3*a)/(a^2*b^2*d^7*x^6 + 6*a^2*b^2*c*d^6*x^5 + 15*a^2*b^2*c^2*d^5*x^4 + 2*(10*a^2*b^2*c^3 + a^3*b)*d^4*x^3 + 3*(5*a^2*b^2*c^4 + 2*a^3*b*c)*d^3*x^2 + 6*(a^2*b^2*c^5 + a^3*b*c^2)*d^2*x + (a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4)*d) - 1/3*log(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(a^3*d) + log(d*x + c)/(a^3*d)","B",0
2883,0,0,0,0.000000," ","integrate(1/(d*x+c)^2/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","-\frac{28 \, b^{2} d^{6} x^{6} + 168 \, b^{2} c d^{5} x^{5} + 420 \, b^{2} c^{2} d^{4} x^{4} + 28 \, b^{2} c^{6} + 7 \, {\left(80 \, b^{2} c^{3} + 7 \, a b\right)} d^{3} x^{3} + 49 \, a b c^{3} + 21 \, {\left(20 \, b^{2} c^{4} + 7 \, a b c\right)} d^{2} x^{2} + 21 \, {\left(8 \, b^{2} c^{5} + 7 \, a b c^{2}\right)} d x + 18 \, a^{2}}{18 \, {\left(a^{3} b^{2} d^{8} x^{7} + 7 \, a^{3} b^{2} c d^{7} x^{6} + 21 \, a^{3} b^{2} c^{2} d^{6} x^{5} + {\left(35 \, a^{3} b^{2} c^{3} + 2 \, a^{4} b\right)} d^{5} x^{4} + {\left(35 \, a^{3} b^{2} c^{4} + 8 \, a^{4} b c\right)} d^{4} x^{3} + 3 \, {\left(7 \, a^{3} b^{2} c^{5} + 4 \, a^{4} b c^{2}\right)} d^{3} x^{2} + {\left(7 \, a^{3} b^{2} c^{6} + 8 \, a^{4} b c^{3} + a^{5}\right)} d^{2} x + {\left(a^{3} b^{2} c^{7} + 2 \, a^{4} b c^{4} + a^{5} c\right)} d\right)}} - \frac{-\frac{7}{3} \, {\left(2 \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) + \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) - 2 \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)} b}{9 \, a^{3}}"," ",0,"-1/18*(28*b^2*d^6*x^6 + 168*b^2*c*d^5*x^5 + 420*b^2*c^2*d^4*x^4 + 28*b^2*c^6 + 7*(80*b^2*c^3 + 7*a*b)*d^3*x^3 + 49*a*b*c^3 + 21*(20*b^2*c^4 + 7*a*b*c)*d^2*x^2 + 21*(8*b^2*c^5 + 7*a*b*c^2)*d*x + 18*a^2)/(a^3*b^2*d^8*x^7 + 7*a^3*b^2*c*d^7*x^6 + 21*a^3*b^2*c^2*d^6*x^5 + (35*a^3*b^2*c^3 + 2*a^4*b)*d^5*x^4 + (35*a^3*b^2*c^4 + 8*a^4*b*c)*d^4*x^3 + 3*(7*a^3*b^2*c^5 + 4*a^4*b*c^2)*d^3*x^2 + (7*a^3*b^2*c^6 + 8*a^4*b*c^3 + a^5)*d^2*x + (a^3*b^2*c^7 + 2*a^4*b*c^4 + a^5*c)*d) - 14/9*b*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/a^3","F",0
2884,0,0,0,0.000000," ","integrate(1/(d*x+c)^3/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","-\frac{20 \, b^{2} d^{6} x^{6} + 120 \, b^{2} c d^{5} x^{5} + 300 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{6} + 16 \, {\left(25 \, b^{2} c^{3} + 2 \, a b\right)} d^{3} x^{3} + 32 \, a b c^{3} + 12 \, {\left(25 \, b^{2} c^{4} + 8 \, a b c\right)} d^{2} x^{2} + 24 \, {\left(5 \, b^{2} c^{5} + 4 \, a b c^{2}\right)} d x + 9 \, a^{2}}{18 \, {\left(a^{3} b^{2} d^{9} x^{8} + 8 \, a^{3} b^{2} c d^{8} x^{7} + 28 \, a^{3} b^{2} c^{2} d^{7} x^{6} + 2 \, {\left(28 \, a^{3} b^{2} c^{3} + a^{4} b\right)} d^{6} x^{5} + 10 \, {\left(7 \, a^{3} b^{2} c^{4} + a^{4} b c\right)} d^{5} x^{4} + 4 \, {\left(14 \, a^{3} b^{2} c^{5} + 5 \, a^{4} b c^{2}\right)} d^{4} x^{3} + {\left(28 \, a^{3} b^{2} c^{6} + 20 \, a^{4} b c^{3} + a^{5}\right)} d^{3} x^{2} + 2 \, {\left(4 \, a^{3} b^{2} c^{7} + 5 \, a^{4} b c^{4} + a^{5} c\right)} d^{2} x + {\left(a^{3} b^{2} c^{8} + 2 \, a^{4} b c^{5} + a^{5} c^{2}\right)} d\right)}} - \frac{\frac{10}{3} \, b {\left(\frac{2 \, \sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{d} + \frac{2 \, \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{d}\right)}}{9 \, a^{3}}"," ",0,"-1/18*(20*b^2*d^6*x^6 + 120*b^2*c*d^5*x^5 + 300*b^2*c^2*d^4*x^4 + 20*b^2*c^6 + 16*(25*b^2*c^3 + 2*a*b)*d^3*x^3 + 32*a*b*c^3 + 12*(25*b^2*c^4 + 8*a*b*c)*d^2*x^2 + 24*(5*b^2*c^5 + 4*a*b*c^2)*d*x + 9*a^2)/(a^3*b^2*d^9*x^8 + 8*a^3*b^2*c*d^8*x^7 + 28*a^3*b^2*c^2*d^7*x^6 + 2*(28*a^3*b^2*c^3 + a^4*b)*d^6*x^5 + 10*(7*a^3*b^2*c^4 + a^4*b*c)*d^5*x^4 + 4*(14*a^3*b^2*c^5 + 5*a^4*b*c^2)*d^4*x^3 + (28*a^3*b^2*c^6 + 20*a^4*b*c^3 + a^5)*d^3*x^2 + 2*(4*a^3*b^2*c^7 + 5*a^4*b*c^4 + a^5*c)*d^2*x + (a^3*b^2*c^8 + 2*a^4*b*c^5 + a^5*c^2)*d) - 20/9*b*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/a^3","F",0
2885,1,438,0,0.784812," ","integrate(1/(d*x+c)^4/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","-\frac{6 \, b^{2} d^{6} x^{6} + 36 \, b^{2} c d^{5} x^{5} + 90 \, b^{2} c^{2} d^{4} x^{4} + 6 \, b^{2} c^{6} + 3 \, {\left(40 \, b^{2} c^{3} + 3 \, a b\right)} d^{3} x^{3} + 9 \, a b c^{3} + 9 \, {\left(10 \, b^{2} c^{4} + 3 \, a b c\right)} d^{2} x^{2} + 9 \, {\left(4 \, b^{2} c^{5} + 3 \, a b c^{2}\right)} d x + 2 \, a^{2}}{6 \, {\left(a^{3} b^{2} d^{10} x^{9} + 9 \, a^{3} b^{2} c d^{9} x^{8} + 36 \, a^{3} b^{2} c^{2} d^{8} x^{7} + 2 \, {\left(42 \, a^{3} b^{2} c^{3} + a^{4} b\right)} d^{7} x^{6} + 6 \, {\left(21 \, a^{3} b^{2} c^{4} + 2 \, a^{4} b c\right)} d^{6} x^{5} + 6 \, {\left(21 \, a^{3} b^{2} c^{5} + 5 \, a^{4} b c^{2}\right)} d^{5} x^{4} + {\left(84 \, a^{3} b^{2} c^{6} + 40 \, a^{4} b c^{3} + a^{5}\right)} d^{4} x^{3} + 3 \, {\left(12 \, a^{3} b^{2} c^{7} + 10 \, a^{4} b c^{4} + a^{5} c\right)} d^{3} x^{2} + 3 \, {\left(3 \, a^{3} b^{2} c^{8} + 4 \, a^{4} b c^{5} + a^{5} c^{2}\right)} d^{2} x + {\left(a^{3} b^{2} c^{9} + 2 \, a^{4} b c^{6} + a^{5} c^{3}\right)} d\right)}} + \frac{b \log\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a\right)}{a^{4} d} - \frac{3 \, b \log\left(d x + c\right)}{a^{4} d}"," ",0,"-1/6*(6*b^2*d^6*x^6 + 36*b^2*c*d^5*x^5 + 90*b^2*c^2*d^4*x^4 + 6*b^2*c^6 + 3*(40*b^2*c^3 + 3*a*b)*d^3*x^3 + 9*a*b*c^3 + 9*(10*b^2*c^4 + 3*a*b*c)*d^2*x^2 + 9*(4*b^2*c^5 + 3*a*b*c^2)*d*x + 2*a^2)/(a^3*b^2*d^10*x^9 + 9*a^3*b^2*c*d^9*x^8 + 36*a^3*b^2*c^2*d^8*x^7 + 2*(42*a^3*b^2*c^3 + a^4*b)*d^7*x^6 + 6*(21*a^3*b^2*c^4 + 2*a^4*b*c)*d^6*x^5 + 6*(21*a^3*b^2*c^5 + 5*a^4*b*c^2)*d^5*x^4 + (84*a^3*b^2*c^6 + 40*a^4*b*c^3 + a^5)*d^4*x^3 + 3*(12*a^3*b^2*c^7 + 10*a^4*b*c^4 + a^5*c)*d^3*x^2 + 3*(3*a^3*b^2*c^8 + 4*a^4*b*c^5 + a^5*c^2)*d^2*x + (a^3*b^2*c^9 + 2*a^4*b*c^6 + a^5*c^3)*d) + b*log(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(a^4*d) - 3*b*log(d*x + c)/(a^4*d)","B",0
2886,0,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{-\frac{1}{6} \, {\left(2 \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) + \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) - 2 \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)} a e^{4}}{b} + \frac{d e^{4} x^{2} + 2 \, c e^{4} x}{2 \, b}"," ",0,"-a*e^4*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/b + 1/2*(d*e^4*x^2 + 2*c*e^4*x)/b","F",0
2887,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{\frac{1}{6} \, a e^{3} {\left(\frac{2 \, \sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{d} + \frac{2 \, \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{d}\right)}}{b} + \frac{e^{3} x}{b}"," ",0,"-a*e^3*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/b + e^3*x/b","F",0
2888,1,45,0,0.515031," ","integrate((d*e*x+c*e)^2/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","\frac{e^{2} \log\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a\right)}{3 \, b d}"," ",0,"1/3*e^2*log(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(b*d)","A",0
2889,0,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","\int \frac{d e x + c e}{{\left(d x + c\right)}^{3} b + a}\,{d x}"," ",0,"integrate((d*e*x + c*e)/((d*x + c)^3*b + a), x)","F",0
2890,1,62,0,0.498366," ","integrate(1/(d*e*x+c*e)/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{\log\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a\right)}{3 \, a d e} + \frac{\log\left(d x + c\right)}{a d e}"," ",0,"-1/3*log(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(a*d*e) + log(d*x + c)/(a*d*e)","A",0
2891,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)^2/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{1}{a d^{2} e^{2} x + a c d e^{2}} - \frac{-\frac{1}{6} \, {\left(2 \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) + \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) - 2 \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)} b}{a e^{2}}"," ",0,"-1/(a*d^2*e^2*x + a*c*d*e^2) - b*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(a*e^2)","F",0
2892,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)^3/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(a d^{3} e^{3} x^{2} + 2 \, a c d^{2} e^{3} x + a c^{2} d e^{3}\right)}} - \frac{\frac{1}{6} \, b {\left(\frac{2 \, \sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{d} + \frac{2 \, \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{d}\right)}}{a e^{3}}"," ",0,"-1/2/(a*d^3*e^3*x^2 + 2*a*c*d^2*e^3*x + a*c^2*d*e^3) - b*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(a*e^3)","F",0
2893,1,116,0,0.688245," ","integrate(1/(d*e*x+c*e)^4/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(a d^{4} e^{4} x^{3} + 3 \, a c d^{3} e^{4} x^{2} + 3 \, a c^{2} d^{2} e^{4} x + a c^{3} d e^{4}\right)}} + \frac{b \log\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a\right)}{3 \, a^{2} d e^{4}} - \frac{b \log\left(d x + c\right)}{a^{2} d e^{4}}"," ",0,"-1/3/(a*d^4*e^4*x^3 + 3*a*c*d^3*e^4*x^2 + 3*a*c^2*d^2*e^4*x + a*c^3*d*e^4) + 1/3*b*log(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(a^2*d*e^4) - b*log(d*x + c)/(a^2*d*e^4)","A",0
2894,0,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","\frac{-\frac{1}{3} \, {\left(2 \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) + \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) - 2 \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)} e^{4}}{3 \, b} - \frac{d^{2} e^{4} x^{2} + 2 \, c d e^{4} x + c^{2} e^{4}}{3 \, {\left(b^{2} d^{4} x^{3} + 3 \, b^{2} c d^{3} x^{2} + 3 \, b^{2} c^{2} d^{2} x + {\left(b^{2} c^{3} + a b\right)} d\right)}}"," ",0,"2/3*e^4*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/b - 1/3*(d^2*e^4*x^2 + 2*c*d*e^4*x + c^2*e^4)/(b^2*d^4*x^3 + 3*b^2*c*d^3*x^2 + 3*b^2*c^2*d^2*x + (b^2*c^3 + a*b)*d)","F",0
2895,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","\frac{\frac{1}{6} \, e^{3} {\left(\frac{2 \, \sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{d} + \frac{2 \, \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{d}\right)}}{3 \, b} - \frac{d e^{3} x + c e^{3}}{3 \, {\left(b^{2} d^{4} x^{3} + 3 \, b^{2} c d^{3} x^{2} + 3 \, b^{2} c^{2} d^{2} x + {\left(b^{2} c^{3} + a b\right)} d\right)}}"," ",0,"1/3*e^3*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/b - 1/3*(d*e^3*x + c*e^3)/(b^2*d^4*x^3 + 3*b^2*c*d^3*x^2 + 3*b^2*c^2*d^2*x + (b^2*c^3 + a*b)*d)","F",0
2896,1,55,0,0.545433," ","integrate((d*e*x+c*e)^2/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{e^{2}}{3 \, {\left(b^{2} d^{4} x^{3} + 3 \, b^{2} c d^{3} x^{2} + 3 \, b^{2} c^{2} d^{2} x + {\left(b^{2} c^{3} + a b\right)} d\right)}}"," ",0,"-1/3*e^2/(b^2*d^4*x^3 + 3*b^2*c*d^3*x^2 + 3*b^2*c^2*d^2*x + (b^2*c^3 + a*b)*d)","B",0
2897,0,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","\frac{-\frac{1}{6} \, {\left(2 \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) + \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) - 2 \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)} e}{3 \, a} + \frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{3 \, {\left(a b d^{4} x^{3} + 3 \, a b c d^{3} x^{2} + 3 \, a b c^{2} d^{2} x + {\left(a b c^{3} + a^{2}\right)} d\right)}}"," ",0,"1/3*e*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/a + 1/3*(d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(a*b*d^4*x^3 + 3*a*b*c*d^3*x^2 + 3*a*b*c^2*d^2*x + (a*b*c^3 + a^2)*d)","F",0
2898,1,114,0,0.572371," ","integrate(1/(d*e*x+c*e)/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","\frac{1}{3 \, {\left(a b d^{4} e x^{3} + 3 \, a b c d^{3} e x^{2} + 3 \, a b c^{2} d^{2} e x + {\left(a b c^{3} + a^{2}\right)} d e\right)}} - \frac{\log\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a\right)}{3 \, a^{2} d e} + \frac{\log\left(d x + c\right)}{a^{2} d e}"," ",0,"1/3/(a*b*d^4*e*x^3 + 3*a*b*c*d^3*e*x^2 + 3*a*b*c^2*d^2*e*x + (a*b*c^3 + a^2)*d*e) - 1/3*log(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(a^2*d*e) + log(d*x + c)/(a^2*d*e)","A",0
2899,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)^2/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{4 \, b d^{3} x^{3} + 12 \, b c d^{2} x^{2} + 12 \, b c^{2} d x + 4 \, b c^{3} + 3 \, a}{3 \, {\left(a^{2} b d^{5} e^{2} x^{4} + 4 \, a^{2} b c d^{4} e^{2} x^{3} + 6 \, a^{2} b c^{2} d^{3} e^{2} x^{2} + {\left(4 \, a^{2} b c^{3} + a^{3}\right)} d^{2} e^{2} x + {\left(a^{2} b c^{4} + a^{3} c\right)} d e^{2}\right)}} - \frac{-\frac{2}{3} \, {\left(2 \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) + \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) - 2 \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)} b}{3 \, a^{2} e^{2}}"," ",0,"-1/3*(4*b*d^3*x^3 + 12*b*c*d^2*x^2 + 12*b*c^2*d*x + 4*b*c^3 + 3*a)/(a^2*b*d^5*e^2*x^4 + 4*a^2*b*c*d^4*e^2*x^3 + 6*a^2*b*c^2*d^3*e^2*x^2 + (4*a^2*b*c^3 + a^3)*d^2*e^2*x + (a^2*b*c^4 + a^3*c)*d*e^2) - 4/3*b*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(a^2*e^2)","F",0
2900,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)^3/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{5 \, b d^{3} x^{3} + 15 \, b c d^{2} x^{2} + 15 \, b c^{2} d x + 5 \, b c^{3} + 3 \, a}{6 \, {\left(a^{2} b d^{6} e^{3} x^{5} + 5 \, a^{2} b c d^{5} e^{3} x^{4} + 10 \, a^{2} b c^{2} d^{4} e^{3} x^{3} + {\left(10 \, a^{2} b c^{3} + a^{3}\right)} d^{3} e^{3} x^{2} + {\left(5 \, a^{2} b c^{4} + 2 \, a^{3} c\right)} d^{2} e^{3} x + {\left(a^{2} b c^{5} + a^{3} c^{2}\right)} d e^{3}\right)}} - \frac{\frac{5}{6} \, b {\left(\frac{2 \, \sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{d} + \frac{2 \, \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{d}\right)}}{3 \, a^{2} e^{3}}"," ",0,"-1/6*(5*b*d^3*x^3 + 15*b*c*d^2*x^2 + 15*b*c^2*d*x + 5*b*c^3 + 3*a)/(a^2*b*d^6*e^3*x^5 + 5*a^2*b*c*d^5*e^3*x^4 + 10*a^2*b*c^2*d^4*e^3*x^3 + (10*a^2*b*c^3 + a^3)*d^3*e^3*x^2 + (5*a^2*b*c^4 + 2*a^3*c)*d^2*e^3*x + (a^2*b*c^5 + a^3*c^2)*d*e^3) - 5/3*b*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(a^2*e^3)","F",0
2901,1,249,0,0.645908," ","integrate(1/(d*e*x+c*e)^4/(a+b*(d*x+c)^3)^2,x, algorithm=""maxima"")","-\frac{2 \, b d^{3} x^{3} + 6 \, b c d^{2} x^{2} + 6 \, b c^{2} d x + 2 \, b c^{3} + a}{3 \, {\left(a^{2} b d^{7} e^{4} x^{6} + 6 \, a^{2} b c d^{6} e^{4} x^{5} + 15 \, a^{2} b c^{2} d^{5} e^{4} x^{4} + {\left(20 \, a^{2} b c^{3} + a^{3}\right)} d^{4} e^{4} x^{3} + 3 \, {\left(5 \, a^{2} b c^{4} + a^{3} c\right)} d^{3} e^{4} x^{2} + 3 \, {\left(2 \, a^{2} b c^{5} + a^{3} c^{2}\right)} d^{2} e^{4} x + {\left(a^{2} b c^{6} + a^{3} c^{3}\right)} d e^{4}\right)}} + \frac{2 \, b \log\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a\right)}{3 \, a^{3} d e^{4}} - \frac{2 \, b \log\left(d x + c\right)}{a^{3} d e^{4}}"," ",0,"-1/3*(2*b*d^3*x^3 + 6*b*c*d^2*x^2 + 6*b*c^2*d*x + 2*b*c^3 + a)/(a^2*b*d^7*e^4*x^6 + 6*a^2*b*c*d^6*e^4*x^5 + 15*a^2*b*c^2*d^5*e^4*x^4 + (20*a^2*b*c^3 + a^3)*d^4*e^4*x^3 + 3*(5*a^2*b*c^4 + a^3*c)*d^3*e^4*x^2 + 3*(2*a^2*b*c^5 + a^3*c^2)*d^2*e^4*x + (a^2*b*c^6 + a^3*c^3)*d*e^4) + 2/3*b*log(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(a^3*d*e^4) - 2*b*log(d*x + c)/(a^3*d*e^4)","B",0
2902,0,0,0,0.000000," ","integrate((d*e*x+c*e)^4/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{-\frac{1}{6} \, {\left(2 \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) + \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) - 2 \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)} e^{4}}{9 \, a b} + \frac{2 \, b d^{5} e^{4} x^{5} + 10 \, b c d^{4} e^{4} x^{4} + 20 \, b c^{2} d^{3} e^{4} x^{3} + {\left(20 \, b c^{3} - a\right)} d^{2} e^{4} x^{2} + 2 \, {\left(5 \, b c^{4} - a c\right)} d e^{4} x + {\left(2 \, b c^{5} - a c^{2}\right)} e^{4}}{18 \, {\left(a b^{3} d^{7} x^{6} + 6 \, a b^{3} c d^{6} x^{5} + 15 \, a b^{3} c^{2} d^{5} x^{4} + 2 \, {\left(10 \, a b^{3} c^{3} + a^{2} b^{2}\right)} d^{4} x^{3} + 3 \, {\left(5 \, a b^{3} c^{4} + 2 \, a^{2} b^{2} c\right)} d^{3} x^{2} + 6 \, {\left(a b^{3} c^{5} + a^{2} b^{2} c^{2}\right)} d^{2} x + {\left(a b^{3} c^{6} + 2 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d\right)}}"," ",0,"1/9*e^4*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(a*b) + 1/18*(2*b*d^5*e^4*x^5 + 10*b*c*d^4*e^4*x^4 + 20*b*c^2*d^3*e^4*x^3 + (20*b*c^3 - a)*d^2*e^4*x^2 + 2*(5*b*c^4 - a*c)*d*e^4*x + (2*b*c^5 - a*c^2)*e^4)/(a*b^3*d^7*x^6 + 6*a*b^3*c*d^6*x^5 + 15*a*b^3*c^2*d^5*x^4 + 2*(10*a*b^3*c^3 + a^2*b^2)*d^4*x^3 + 3*(5*a*b^3*c^4 + 2*a^2*b^2*c)*d^3*x^2 + 6*(a*b^3*c^5 + a^2*b^2*c^2)*d^2*x + (a*b^3*c^6 + 2*a^2*b^2*c^3 + a^3*b)*d)","F",0
2903,0,0,0,0.000000," ","integrate((d*e*x+c*e)^3/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{\frac{1}{6} \, e^{3} {\left(\frac{2 \, \sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{d} + \frac{2 \, \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{d}\right)}}{9 \, a b} + \frac{b d^{4} e^{3} x^{4} + 4 \, b c d^{3} e^{3} x^{3} + 6 \, b c^{2} d^{2} e^{3} x^{2} + 2 \, {\left(2 \, b c^{3} - a\right)} d e^{3} x + {\left(b c^{4} - 2 \, a c\right)} e^{3}}{18 \, {\left(a b^{3} d^{7} x^{6} + 6 \, a b^{3} c d^{6} x^{5} + 15 \, a b^{3} c^{2} d^{5} x^{4} + 2 \, {\left(10 \, a b^{3} c^{3} + a^{2} b^{2}\right)} d^{4} x^{3} + 3 \, {\left(5 \, a b^{3} c^{4} + 2 \, a^{2} b^{2} c\right)} d^{3} x^{2} + 6 \, {\left(a b^{3} c^{5} + a^{2} b^{2} c^{2}\right)} d^{2} x + {\left(a b^{3} c^{6} + 2 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d\right)}}"," ",0,"1/9*e^3*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(a*b) + 1/18*(b*d^4*e^3*x^4 + 4*b*c*d^3*e^3*x^3 + 6*b*c^2*d^2*e^3*x^2 + 2*(2*b*c^3 - a)*d*e^3*x + (b*c^4 - 2*a*c)*e^3)/(a*b^3*d^7*x^6 + 6*a*b^3*c*d^6*x^5 + 15*a*b^3*c^2*d^5*x^4 + 2*(10*a*b^3*c^3 + a^2*b^2)*d^4*x^3 + 3*(5*a*b^3*c^4 + 2*a^2*b^2*c)*d^3*x^2 + 6*(a*b^3*c^5 + a^2*b^2*c^2)*d^2*x + (a*b^3*c^6 + 2*a^2*b^2*c^3 + a^3*b)*d)","F",0
2904,1,136,0,0.575974," ","integrate((d*e*x+c*e)^2/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","-\frac{e^{2}}{6 \, {\left(b^{3} d^{7} x^{6} + 6 \, b^{3} c d^{6} x^{5} + 15 \, b^{3} c^{2} d^{5} x^{4} + 2 \, {\left(10 \, b^{3} c^{3} + a b^{2}\right)} d^{4} x^{3} + 3 \, {\left(5 \, b^{3} c^{4} + 2 \, a b^{2} c\right)} d^{3} x^{2} + 6 \, {\left(b^{3} c^{5} + a b^{2} c^{2}\right)} d^{2} x + {\left(b^{3} c^{6} + 2 \, a b^{2} c^{3} + a^{2} b\right)} d\right)}}"," ",0,"-1/6*e^2/(b^3*d^7*x^6 + 6*b^3*c*d^6*x^5 + 15*b^3*c^2*d^5*x^4 + 2*(10*b^3*c^3 + a*b^2)*d^4*x^3 + 3*(5*b^3*c^4 + 2*a*b^2*c)*d^3*x^2 + 6*(b^3*c^5 + a*b^2*c^2)*d^2*x + (b^3*c^6 + 2*a*b^2*c^3 + a^2*b)*d)","B",0
2905,0,0,0,0.000000," ","integrate((d*e*x+c*e)/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{4 \, b d^{5} e x^{5} + 20 \, b c d^{4} e x^{4} + 40 \, b c^{2} d^{3} e x^{3} + {\left(40 \, b c^{3} + 7 \, a\right)} d^{2} e x^{2} + 2 \, {\left(10 \, b c^{4} + 7 \, a c\right)} d e x + {\left(4 \, b c^{5} + 7 \, a c^{2}\right)} e}{18 \, {\left(a^{2} b^{2} d^{7} x^{6} + 6 \, a^{2} b^{2} c d^{6} x^{5} + 15 \, a^{2} b^{2} c^{2} d^{5} x^{4} + 2 \, {\left(10 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d^{4} x^{3} + 3 \, {\left(5 \, a^{2} b^{2} c^{4} + 2 \, a^{3} b c\right)} d^{3} x^{2} + 6 \, {\left(a^{2} b^{2} c^{5} + a^{3} b c^{2}\right)} d^{2} x + {\left(a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}\right)} d\right)}} + \frac{-\frac{1}{3} \, {\left(2 \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) + \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) - 2 \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)} e}{9 \, a^{2}}"," ",0,"1/18*(4*b*d^5*e*x^5 + 20*b*c*d^4*e*x^4 + 40*b*c^2*d^3*e*x^3 + (40*b*c^3 + 7*a)*d^2*e*x^2 + 2*(10*b*c^4 + 7*a*c)*d*e*x + (4*b*c^5 + 7*a*c^2)*e)/(a^2*b^2*d^7*x^6 + 6*a^2*b^2*c*d^6*x^5 + 15*a^2*b^2*c^2*d^5*x^4 + 2*(10*a^2*b^2*c^3 + a^3*b)*d^4*x^3 + 3*(5*a^2*b^2*c^4 + 2*a^3*b*c)*d^3*x^2 + 6*(a^2*b^2*c^5 + a^3*b*c^2)*d^2*x + (a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4)*d) + 2/9*e*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/a^2","F",0
2906,1,258,0,0.609985," ","integrate(1/(d*e*x+c*e)/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","\frac{2 \, b d^{3} x^{3} + 6 \, b c d^{2} x^{2} + 6 \, b c^{2} d x + 2 \, b c^{3} + 3 \, a}{6 \, {\left(a^{2} b^{2} d^{7} e x^{6} + 6 \, a^{2} b^{2} c d^{6} e x^{5} + 15 \, a^{2} b^{2} c^{2} d^{5} e x^{4} + 2 \, {\left(10 \, a^{2} b^{2} c^{3} + a^{3} b\right)} d^{4} e x^{3} + 3 \, {\left(5 \, a^{2} b^{2} c^{4} + 2 \, a^{3} b c\right)} d^{3} e x^{2} + 6 \, {\left(a^{2} b^{2} c^{5} + a^{3} b c^{2}\right)} d^{2} e x + {\left(a^{2} b^{2} c^{6} + 2 \, a^{3} b c^{3} + a^{4}\right)} d e\right)}} - \frac{\log\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a\right)}{3 \, a^{3} d e} + \frac{\log\left(d x + c\right)}{a^{3} d e}"," ",0,"1/6*(2*b*d^3*x^3 + 6*b*c*d^2*x^2 + 6*b*c^2*d*x + 2*b*c^3 + 3*a)/(a^2*b^2*d^7*e*x^6 + 6*a^2*b^2*c*d^6*e*x^5 + 15*a^2*b^2*c^2*d^5*e*x^4 + 2*(10*a^2*b^2*c^3 + a^3*b)*d^4*e*x^3 + 3*(5*a^2*b^2*c^4 + 2*a^3*b*c)*d^3*e*x^2 + 6*(a^2*b^2*c^5 + a^3*b*c^2)*d^2*e*x + (a^2*b^2*c^6 + 2*a^3*b*c^3 + a^4)*d*e) - 1/3*log(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(a^3*d*e) + log(d*x + c)/(a^3*d*e)","B",0
2907,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)^2/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","-\frac{28 \, b^{2} d^{6} x^{6} + 168 \, b^{2} c d^{5} x^{5} + 420 \, b^{2} c^{2} d^{4} x^{4} + 28 \, b^{2} c^{6} + 7 \, {\left(80 \, b^{2} c^{3} + 7 \, a b\right)} d^{3} x^{3} + 49 \, a b c^{3} + 21 \, {\left(20 \, b^{2} c^{4} + 7 \, a b c\right)} d^{2} x^{2} + 21 \, {\left(8 \, b^{2} c^{5} + 7 \, a b c^{2}\right)} d x + 18 \, a^{2}}{18 \, {\left(a^{3} b^{2} d^{8} e^{2} x^{7} + 7 \, a^{3} b^{2} c d^{7} e^{2} x^{6} + 21 \, a^{3} b^{2} c^{2} d^{6} e^{2} x^{5} + {\left(35 \, a^{3} b^{2} c^{3} + 2 \, a^{4} b\right)} d^{5} e^{2} x^{4} + {\left(35 \, a^{3} b^{2} c^{4} + 8 \, a^{4} b c\right)} d^{4} e^{2} x^{3} + 3 \, {\left(7 \, a^{3} b^{2} c^{5} + 4 \, a^{4} b c^{2}\right)} d^{3} e^{2} x^{2} + {\left(7 \, a^{3} b^{2} c^{6} + 8 \, a^{4} b c^{3} + a^{5}\right)} d^{2} e^{2} x + {\left(a^{3} b^{2} c^{7} + 2 \, a^{4} b c^{4} + a^{5} c\right)} d e^{2}\right)}} - \frac{-\frac{7}{3} \, {\left(2 \, \sqrt{3} \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}}{3 \, \left(-a^{2} b\right)^{\frac{2}{3}}}\right) + \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left(2 \, a b d x + 2 \, a b c - \left(-a^{2} b\right)^{\frac{2}{3}}\right)}^{2} + 3 \, \left(-a^{2} b\right)^{\frac{4}{3}}\right) - 2 \, \left(-\frac{1}{a b^{2} d^{3}}\right)^{\frac{1}{3}} \log\left({\left| a b d x + a b c + \left(-a^{2} b\right)^{\frac{2}{3}} \right|}\right)\right)} b}{9 \, a^{3} e^{2}}"," ",0,"-1/18*(28*b^2*d^6*x^6 + 168*b^2*c*d^5*x^5 + 420*b^2*c^2*d^4*x^4 + 28*b^2*c^6 + 7*(80*b^2*c^3 + 7*a*b)*d^3*x^3 + 49*a*b*c^3 + 21*(20*b^2*c^4 + 7*a*b*c)*d^2*x^2 + 21*(8*b^2*c^5 + 7*a*b*c^2)*d*x + 18*a^2)/(a^3*b^2*d^8*e^2*x^7 + 7*a^3*b^2*c*d^7*e^2*x^6 + 21*a^3*b^2*c^2*d^6*e^2*x^5 + (35*a^3*b^2*c^3 + 2*a^4*b)*d^5*e^2*x^4 + (35*a^3*b^2*c^4 + 8*a^4*b*c)*d^4*e^2*x^3 + 3*(7*a^3*b^2*c^5 + 4*a^4*b*c^2)*d^3*e^2*x^2 + (7*a^3*b^2*c^6 + 8*a^4*b*c^3 + a^5)*d^2*e^2*x + (a^3*b^2*c^7 + 2*a^4*b*c^4 + a^5*c)*d*e^2) - 14/9*b*integrate((d*x + c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(a^3*e^2)","F",0
2908,0,0,0,0.000000," ","integrate(1/(d*e*x+c*e)^3/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","-\frac{20 \, b^{2} d^{6} x^{6} + 120 \, b^{2} c d^{5} x^{5} + 300 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{6} + 16 \, {\left(25 \, b^{2} c^{3} + 2 \, a b\right)} d^{3} x^{3} + 32 \, a b c^{3} + 12 \, {\left(25 \, b^{2} c^{4} + 8 \, a b c\right)} d^{2} x^{2} + 24 \, {\left(5 \, b^{2} c^{5} + 4 \, a b c^{2}\right)} d x + 9 \, a^{2}}{18 \, {\left(a^{3} b^{2} d^{9} e^{3} x^{8} + 8 \, a^{3} b^{2} c d^{8} e^{3} x^{7} + 28 \, a^{3} b^{2} c^{2} d^{7} e^{3} x^{6} + 2 \, {\left(28 \, a^{3} b^{2} c^{3} + a^{4} b\right)} d^{6} e^{3} x^{5} + 10 \, {\left(7 \, a^{3} b^{2} c^{4} + a^{4} b c\right)} d^{5} e^{3} x^{4} + 4 \, {\left(14 \, a^{3} b^{2} c^{5} + 5 \, a^{4} b c^{2}\right)} d^{4} e^{3} x^{3} + {\left(28 \, a^{3} b^{2} c^{6} + 20 \, a^{4} b c^{3} + a^{5}\right)} d^{3} e^{3} x^{2} + 2 \, {\left(4 \, a^{3} b^{2} c^{7} + 5 \, a^{4} b c^{4} + a^{5} c\right)} d^{2} e^{3} x + {\left(a^{3} b^{2} c^{8} + 2 \, a^{4} b c^{5} + a^{5} c^{2}\right)} d e^{3}\right)}} - \frac{\frac{10}{3} \, b {\left(\frac{2 \, \sqrt{3} \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \arctan\left(-\frac{b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}}{\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}}\right)}{d} - \frac{\left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left(4 \, {\left(\sqrt{3} b d x + \sqrt{3} b c - \sqrt{3} \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}}\right)}^{2}\right)}{d} + \frac{2 \, \left(\frac{1}{a^{2} b}\right)^{\frac{1}{3}} \log\left({\left| b d x + b c + \left(a b^{2}\right)^{\frac{1}{3}} \right|}\right)}{d}\right)}}{9 \, a^{3} e^{3}}"," ",0,"-1/18*(20*b^2*d^6*x^6 + 120*b^2*c*d^5*x^5 + 300*b^2*c^2*d^4*x^4 + 20*b^2*c^6 + 16*(25*b^2*c^3 + 2*a*b)*d^3*x^3 + 32*a*b*c^3 + 12*(25*b^2*c^4 + 8*a*b*c)*d^2*x^2 + 24*(5*b^2*c^5 + 4*a*b*c^2)*d*x + 9*a^2)/(a^3*b^2*d^9*e^3*x^8 + 8*a^3*b^2*c*d^8*e^3*x^7 + 28*a^3*b^2*c^2*d^7*e^3*x^6 + 2*(28*a^3*b^2*c^3 + a^4*b)*d^6*e^3*x^5 + 10*(7*a^3*b^2*c^4 + a^4*b*c)*d^5*e^3*x^4 + 4*(14*a^3*b^2*c^5 + 5*a^4*b*c^2)*d^4*e^3*x^3 + (28*a^3*b^2*c^6 + 20*a^4*b*c^3 + a^5)*d^3*e^3*x^2 + 2*(4*a^3*b^2*c^7 + 5*a^4*b*c^4 + a^5*c)*d^2*e^3*x + (a^3*b^2*c^8 + 2*a^4*b*c^5 + a^5*c^2)*d*e^3) - 20/9*b*integrate(1/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(a^3*e^3)","F",0
2909,1,474,0,0.712100," ","integrate(1/(d*e*x+c*e)^4/(a+b*(d*x+c)^3)^3,x, algorithm=""maxima"")","-\frac{6 \, b^{2} d^{6} x^{6} + 36 \, b^{2} c d^{5} x^{5} + 90 \, b^{2} c^{2} d^{4} x^{4} + 6 \, b^{2} c^{6} + 3 \, {\left(40 \, b^{2} c^{3} + 3 \, a b\right)} d^{3} x^{3} + 9 \, a b c^{3} + 9 \, {\left(10 \, b^{2} c^{4} + 3 \, a b c\right)} d^{2} x^{2} + 9 \, {\left(4 \, b^{2} c^{5} + 3 \, a b c^{2}\right)} d x + 2 \, a^{2}}{6 \, {\left(a^{3} b^{2} d^{10} e^{4} x^{9} + 9 \, a^{3} b^{2} c d^{9} e^{4} x^{8} + 36 \, a^{3} b^{2} c^{2} d^{8} e^{4} x^{7} + 2 \, {\left(42 \, a^{3} b^{2} c^{3} + a^{4} b\right)} d^{7} e^{4} x^{6} + 6 \, {\left(21 \, a^{3} b^{2} c^{4} + 2 \, a^{4} b c\right)} d^{6} e^{4} x^{5} + 6 \, {\left(21 \, a^{3} b^{2} c^{5} + 5 \, a^{4} b c^{2}\right)} d^{5} e^{4} x^{4} + {\left(84 \, a^{3} b^{2} c^{6} + 40 \, a^{4} b c^{3} + a^{5}\right)} d^{4} e^{4} x^{3} + 3 \, {\left(12 \, a^{3} b^{2} c^{7} + 10 \, a^{4} b c^{4} + a^{5} c\right)} d^{3} e^{4} x^{2} + 3 \, {\left(3 \, a^{3} b^{2} c^{8} + 4 \, a^{4} b c^{5} + a^{5} c^{2}\right)} d^{2} e^{4} x + {\left(a^{3} b^{2} c^{9} + 2 \, a^{4} b c^{6} + a^{5} c^{3}\right)} d e^{4}\right)}} + \frac{b \log\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a\right)}{a^{4} d e^{4}} - \frac{3 \, b \log\left(d x + c\right)}{a^{4} d e^{4}}"," ",0,"-1/6*(6*b^2*d^6*x^6 + 36*b^2*c*d^5*x^5 + 90*b^2*c^2*d^4*x^4 + 6*b^2*c^6 + 3*(40*b^2*c^3 + 3*a*b)*d^3*x^3 + 9*a*b*c^3 + 9*(10*b^2*c^4 + 3*a*b*c)*d^2*x^2 + 9*(4*b^2*c^5 + 3*a*b*c^2)*d*x + 2*a^2)/(a^3*b^2*d^10*e^4*x^9 + 9*a^3*b^2*c*d^9*e^4*x^8 + 36*a^3*b^2*c^2*d^8*e^4*x^7 + 2*(42*a^3*b^2*c^3 + a^4*b)*d^7*e^4*x^6 + 6*(21*a^3*b^2*c^4 + 2*a^4*b*c)*d^6*e^4*x^5 + 6*(21*a^3*b^2*c^5 + 5*a^4*b*c^2)*d^5*e^4*x^4 + (84*a^3*b^2*c^6 + 40*a^4*b*c^3 + a^5)*d^4*e^4*x^3 + 3*(12*a^3*b^2*c^7 + 10*a^4*b*c^4 + a^5*c)*d^3*e^4*x^2 + 3*(3*a^3*b^2*c^8 + 4*a^4*b*c^5 + a^5*c^2)*d^2*e^4*x + (a^3*b^2*c^9 + 2*a^4*b*c^6 + a^5*c^3)*d*e^4) + b*log(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(a^4*d*e^4) - 3*b*log(d*x + c)/(a^4*d*e^4)","B",0
2910,1,28,0,0.441830," ","integrate((d*x+c)^3*(a+b*(d*x+c)^4)^p,x, algorithm=""maxima"")","\frac{{\left({\left(d x + c\right)}^{4} b + a\right)}^{p + 1}}{4 \, b d {\left(p + 1\right)}}"," ",0,"1/4*((d*x + c)^4*b + a)^(p + 1)/(b*d*(p + 1))","A",0
2911,1,21,0,0.475661," ","integrate((d*x+c)^3*(a+b*(d*x+c)^4),x, algorithm=""maxima"")","\frac{{\left({\left(d x + c\right)}^{4} b + a\right)}^{2}}{8 \, b d}"," ",0,"1/8*((d*x + c)^4*b + a)^2/(b*d)","A",0
2912,1,21,0,0.549089," ","integrate((d*x+c)^3*(a+b*(d*x+c)^4)^2,x, algorithm=""maxima"")","\frac{{\left({\left(d x + c\right)}^{4} b + a\right)}^{3}}{12 \, b d}"," ",0,"1/12*((d*x + c)^4*b + a)^3/(b*d)","A",0
2913,1,21,0,0.642048," ","integrate((d*x+c)^3*(a+b*(d*x+c)^4)^3,x, algorithm=""maxima"")","\frac{{\left({\left(d x + c\right)}^{4} b + a\right)}^{4}}{16 \, b d}"," ",0,"1/16*((d*x + c)^4*b + a)^4/(b*d)","A",0
2914,1,20,0,0.552393," ","integrate((d*x+c)^3/(a+b*(d*x+c)^4),x, algorithm=""maxima"")","\frac{\log\left({\left(d x + c\right)}^{4} b + a\right)}{4 \, b d}"," ",0,"1/4*log((d*x + c)^4*b + a)/(b*d)","A",0
2915,1,21,0,0.462590," ","integrate((d*x+c)^3/(a+b*(d*x+c)^4)^2,x, algorithm=""maxima"")","-\frac{1}{4 \, {\left({\left(d x + c\right)}^{4} b + a\right)} b d}"," ",0,"-1/4/(((d*x + c)^4*b + a)*b*d)","A",0
2916,1,21,0,0.558881," ","integrate((d*x+c)^3/(a+b*(d*x+c)^4)^3,x, algorithm=""maxima"")","-\frac{1}{8 \, {\left({\left(d x + c\right)}^{4} b + a\right)}^{2} b d}"," ",0,"-1/8/(((d*x + c)^4*b + a)^2*b*d)","A",0
2917,0,0,0,0.000000," ","integrate(1/(a+b*(d*x+c)^4)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{{\left(d x + c\right)}^{4} b + a}}\,{d x}"," ",0,"integrate(1/sqrt((d*x + c)^4*b + a), x)","F",0
2918,0,0,0,0.000000," ","integrate(x/(a+b*(d*x+c)^4)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{{\left(d x + c\right)}^{4} b + a}}\,{d x}"," ",0,"integrate(x/sqrt((d*x + c)^4*b + a), x)","F",0
2919,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*(c*x)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\left(c x\right)^{\frac{3}{2}} b + a} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(sqrt((c*x)^(3/2)*b + a)*(d*x)^m, x)","F",0
2920,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*(c*x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sqrt{c x} b + a} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(sqrt(c*x)*b + a)*(d*x)^m, x)","F",0
2921,0,0,0,0.000000," ","integrate((d*x)^m*(a+b/(c*x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \left(d x\right)^{m} \sqrt{a + \frac{b}{\sqrt{c x}}}\,{d x}"," ",0,"integrate((d*x)^m*sqrt(a + b/sqrt(c*x)), x)","F",0
2922,0,0,0,0.000000," ","integrate((d*x)^m*(a+b/(c*x)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \left(d x\right)^{m} \sqrt{a + \frac{b}{\left(c x\right)^{\frac{3}{2}}}}\,{d x}"," ",0,"integrate((d*x)^m*sqrt(a + b/(c*x)^(3/2)), x)","F",0
2923,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*(c*x)^n)^p,x, algorithm=""maxima"")","\int {\left(\left(c x\right)^{n} b + a\right)}^{p} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(((c*x)^n*b + a)^p*(d*x)^m, x)","F",0
2924,0,0,0,0.000000," ","integrate(x^2*(a+b*(c*x)^n)^p,x, algorithm=""maxima"")","\int {\left(\left(c x\right)^{n} b + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate(((c*x)^n*b + a)^p*x^2, x)","F",0
2925,0,0,0,0.000000," ","integrate(x*(a+b*(c*x)^n)^p,x, algorithm=""maxima"")","\int {\left(\left(c x\right)^{n} b + a\right)}^{p} x\,{d x}"," ",0,"integrate(((c*x)^n*b + a)^p*x, x)","F",0
2926,0,0,0,0.000000," ","integrate((a+b*(c*x)^n)^p,x, algorithm=""maxima"")","\int {\left(\left(c x\right)^{n} b + a\right)}^{p}\,{d x}"," ",0,"integrate(((c*x)^n*b + a)^p, x)","F",0
2927,0,0,0,0.000000," ","integrate((a+b*(c*x)^n)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(\left(c x\right)^{n} b + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate(((c*x)^n*b + a)^p/x, x)","F",0
2928,0,0,0,0.000000," ","integrate((a+b*(c*x)^n)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(\left(c x\right)^{n} b + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate(((c*x)^n*b + a)^p/x^2, x)","F",0
2929,1,34,0,1.239178," ","integrate(1/(1+(x^2)^(3/2)),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{6} \, \log\left(x^{2} - x + 1\right) + \frac{1}{3} \, \log\left(x + 1\right)"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/6*log(x^2 - x + 1) + 1/3*log(x + 1)","A",0
2930,1,127,0,0.555174," ","integrate(x^5*(a+b*(c*x^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{693 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{13}{2}}}{b^{6}} - \frac{4095 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{11}{2}} a}{b^{6}} + \frac{10010 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{9}{2}} a^{2}}{b^{6}} - \frac{12870 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{7}{2}} a^{3}}{b^{6}} + \frac{9009 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{5}{2}} a^{4}}{b^{6}} - \frac{3003 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{3}{2}} a^{5}}{b^{6}}\right)}}{9009 \, c^{3}}"," ",0,"2/9009*(693*(sqrt(c*x^2)*b + a)^(13/2)/b^6 - 4095*(sqrt(c*x^2)*b + a)^(11/2)*a/b^6 + 10010*(sqrt(c*x^2)*b + a)^(9/2)*a^2/b^6 - 12870*(sqrt(c*x^2)*b + a)^(7/2)*a^3/b^6 + 9009*(sqrt(c*x^2)*b + a)^(5/2)*a^4/b^6 - 3003*(sqrt(c*x^2)*b + a)^(3/2)*a^5/b^6)/c^3","A",0
2931,1,85,0,0.634145," ","integrate(x^3*(a+b*(c*x^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{35 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{9}{2}}}{b^{4}} - \frac{135 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{7}{2}} a}{b^{4}} + \frac{189 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{5}{2}} a^{2}}{b^{4}} - \frac{105 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{3}{2}} a^{3}}{b^{4}}\right)}}{315 \, c^{2}}"," ",0,"2/315*(35*(sqrt(c*x^2)*b + a)^(9/2)/b^4 - 135*(sqrt(c*x^2)*b + a)^(7/2)*a/b^4 + 189*(sqrt(c*x^2)*b + a)^(5/2)*a^2/b^4 - 105*(sqrt(c*x^2)*b + a)^(3/2)*a^3/b^4)/c^2","A",0
2932,1,43,0,0.583305," ","integrate(x*(a+b*(c*x^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{5}{2}}}{b^{2}} - \frac{5 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{3}{2}} a}{b^{2}}\right)}}{15 \, c}"," ",0,"2/15*(3*(sqrt(c*x^2)*b + a)^(5/2)/b^2 - 5*(sqrt(c*x^2)*b + a)^(3/2)*a/b^2)/c","A",0
2933,1,60,0,1.218333," ","integrate((a+b*(c*x^2)^(1/2))^(1/2)/x,x, algorithm=""maxima"")","\sqrt{a} \log\left(\frac{\sqrt{\sqrt{c x^{2}} b + a} - \sqrt{a}}{\sqrt{\sqrt{c x^{2}} b + a} + \sqrt{a}}\right) + 2 \, \sqrt{\sqrt{c x^{2}} b + a}"," ",0,"sqrt(a)*log((sqrt(sqrt(c*x^2)*b + a) - sqrt(a))/(sqrt(sqrt(c*x^2)*b + a) + sqrt(a))) + 2*sqrt(sqrt(c*x^2)*b + a)","A",0
2934,1,126,0,1.212062," ","integrate((a+b*(c*x^2)^(1/2))^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(\frac{b^{2} \log\left(\frac{\sqrt{\sqrt{c x^{2}} b + a} - \sqrt{a}}{\sqrt{\sqrt{c x^{2}} b + a} + \sqrt{a}}\right)}{a^{\frac{3}{2}}} + \frac{2 \, {\left({\left(\sqrt{c x^{2}} b + a\right)}^{\frac{3}{2}} b^{2} + \sqrt{\sqrt{c x^{2}} b + a} a b^{2}\right)}}{{\left(\sqrt{c x^{2}} b + a\right)}^{2} a - 2 \, {\left(\sqrt{c x^{2}} b + a\right)} a^{2} + a^{3}}\right)} c"," ",0,"-1/8*(b^2*log((sqrt(sqrt(c*x^2)*b + a) - sqrt(a))/(sqrt(sqrt(c*x^2)*b + a) + sqrt(a)))/a^(3/2) + 2*((sqrt(c*x^2)*b + a)^(3/2)*b^2 + sqrt(sqrt(c*x^2)*b + a)*a*b^2)/((sqrt(c*x^2)*b + a)^2*a - 2*(sqrt(c*x^2)*b + a)*a^2 + a^3))*c","A",0
2935,1,211,0,1.197410," ","integrate((a+b*(c*x^2)^(1/2))^(1/2)/x^5,x, algorithm=""maxima"")","-\frac{1}{384} \, {\left(\frac{15 \, b^{4} \log\left(\frac{\sqrt{\sqrt{c x^{2}} b + a} - \sqrt{a}}{\sqrt{\sqrt{c x^{2}} b + a} + \sqrt{a}}\right)}{a^{\frac{7}{2}}} + \frac{2 \, {\left(15 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{7}{2}} b^{4} - 55 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{5}{2}} a b^{4} + 73 \, {\left(\sqrt{c x^{2}} b + a\right)}^{\frac{3}{2}} a^{2} b^{4} + 15 \, \sqrt{\sqrt{c x^{2}} b + a} a^{3} b^{4}\right)}}{{\left(\sqrt{c x^{2}} b + a\right)}^{4} a^{3} - 4 \, {\left(\sqrt{c x^{2}} b + a\right)}^{3} a^{4} + 6 \, {\left(\sqrt{c x^{2}} b + a\right)}^{2} a^{5} - 4 \, {\left(\sqrt{c x^{2}} b + a\right)} a^{6} + a^{7}}\right)} c^{2}"," ",0,"-1/384*(15*b^4*log((sqrt(sqrt(c*x^2)*b + a) - sqrt(a))/(sqrt(sqrt(c*x^2)*b + a) + sqrt(a)))/a^(7/2) + 2*(15*(sqrt(c*x^2)*b + a)^(7/2)*b^4 - 55*(sqrt(c*x^2)*b + a)^(5/2)*a*b^4 + 73*(sqrt(c*x^2)*b + a)^(3/2)*a^2*b^4 + 15*sqrt(sqrt(c*x^2)*b + a)*a^3*b^4)/((sqrt(c*x^2)*b + a)^4*a^3 - 4*(sqrt(c*x^2)*b + a)^3*a^4 + 6*(sqrt(c*x^2)*b + a)^2*a^5 - 4*(sqrt(c*x^2)*b + a)*a^6 + a^7))*c^2","A",0
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425504869680671903112*c^27 + 79860855208415962132944*c^26 + 10579205416850555553082194*c^25 + 1014992544330040094059234080*c^24 + 71903882119146039055870044180*c^23 + 3816126136355649616672567516536*c^22 + 153373939973030992595941509885042*c^21 + 4704317201176235036305308699382664*c^20 + 110686342955957767559282605085857512*c^19 + 2003471049939988842899006194089630480*c^18 + 27917325325682932130956522490231038125*c^17 + 299066657630330963342577678222634275000*c^16 + 2454342489151737584438328638188065468750*c^15 + 15340564224279798311767238446307226562500*c^14 + 72413767119232942192838391775906494140625*c^13 + 255197014414145705441862975227416992187500*c^12 + 661247327533371121092883907377929687500000*c^11 + 1234623418450566749592990626953125000000000*c^10 + 1617314691031546007469761718750000000000000*c^9 + 1433927163780426362384062500000000000000000*c^8 + 818575293911949995625000000000000000000000*c^7 + 279809533898669190000000000000000000000000*c^6 + 51115570649316000000000000000000000000000*c^5 + 4078129032000000000000000000000000000000*c^4 + 89579520000000000000000000000000000000*c^3)*sqrt(c))*b^5)","B",0
2937,1,387,0,0.709090," ","integrate(x^2*(a+b*(c*x^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{{\left({\left(31 \, c^{8} + 3784 \, c^{7} + 91078 \, c^{6} + 622632 \, c^{5} + 1266003 \, c^{4} + 635688 \, c^{3} + 34992 \, c^{2} + {\left(c^{8} + 440 \, c^{7} + 21986 \, c^{6} + 276544 \, c^{5} + 1038501 \, c^{4} + 1095120 \, c^{3} + 221616 \, c^{2}\right)} \sqrt{c}\right)} b^{3} x^{3} + {\left(c^{8} + 382 \, c^{7} + 15946 \, c^{6} + 158172 \, c^{5} + 425925 \, c^{4} + 266814 \, c^{3} + 17496 \, c^{2} + {\left(29 \, c^{7} + 3020 \, c^{6} + 59186 \, c^{5} + 306288 \, c^{4} + 414153 \, c^{3} + 102060 \, c^{2}\right)} \sqrt{c}\right)} a b^{2} x^{2} - 2 \, {\left(c^{7} + 354 \, c^{6} + 13280 \, c^{5} + 112266 \, c^{4} + 231903 \, c^{3} + 84564 \, c^{2} + 2 \, {\left(14 \, c^{6} + 1333 \, c^{5} + 22953 \, c^{4} + 97011 \, c^{3} + 91125 \, c^{2} + 8748 \, c\right)} \sqrt{c}\right)} a^{2} b x + 2 \, {\left(c^{6} + 354 \, c^{5} + 13280 \, c^{4} + 112266 \, c^{3} + 231903 \, c^{2} + 2 \, {\left(14 \, c^{5} + 1333 \, c^{4} + 22953 \, c^{3} + 97011 \, c^{2} + 91125 \, c + 8748\right)} \sqrt{c} + 84564 \, c\right)} a^{3}\right)} \sqrt{b \sqrt{c} x + a}}{{\left(c^{9} + 533 \, c^{8} + 33338 \, c^{7} + 549778 \, c^{6} + 2906397 \, c^{5} + 4893129 \, c^{4} + 2128680 \, c^{3} + 104976 \, c^{2} + 2 \, {\left(17 \, c^{8} + 2552 \, c^{7} + 78518 \, c^{6} + 726132 \, c^{5} + 2190753 \, c^{4} + 1960524 \, c^{3} + 349920 \, c^{2}\right)} \sqrt{c}\right)} b^{3}}"," ",0,"((31*c^8 + 3784*c^7 + 91078*c^6 + 622632*c^5 + 1266003*c^4 + 635688*c^3 + 34992*c^2 + (c^8 + 440*c^7 + 21986*c^6 + 276544*c^5 + 1038501*c^4 + 1095120*c^3 + 221616*c^2)*sqrt(c))*b^3*x^3 + (c^8 + 382*c^7 + 15946*c^6 + 158172*c^5 + 425925*c^4 + 266814*c^3 + 17496*c^2 + (29*c^7 + 3020*c^6 + 59186*c^5 + 306288*c^4 + 414153*c^3 + 102060*c^2)*sqrt(c))*a*b^2*x^2 - 2*(c^7 + 354*c^6 + 13280*c^5 + 112266*c^4 + 231903*c^3 + 84564*c^2 + 2*(14*c^6 + 1333*c^5 + 22953*c^4 + 97011*c^3 + 91125*c^2 + 8748*c)*sqrt(c))*a^2*b*x + 2*(c^6 + 354*c^5 + 13280*c^4 + 112266*c^3 + 231903*c^2 + 2*(14*c^5 + 1333*c^4 + 22953*c^3 + 97011*c^2 + 91125*c + 8748)*sqrt(c) + 84564*c)*a^3)*sqrt(b*sqrt(c)*x + a)/((c^9 + 533*c^8 + 33338*c^7 + 549778*c^6 + 2906397*c^5 + 4893129*c^4 + 2128680*c^3 + 104976*c^2 + 2*(17*c^8 + 2552*c^7 + 78518*c^6 + 726132*c^5 + 2190753*c^4 + 1960524*c^3 + 349920*c^2)*sqrt(c))*b^3)","B",0
2938,1,42,0,0.677336," ","integrate((a+b*(c*x^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{{\left({\left(c^{\frac{3}{2}} + c\right)} b x + a {\left(c + \sqrt{c}\right)}\right)} \sqrt{b \sqrt{c} x + a}}{{\left(c^{2} + 2 \, c^{\frac{3}{2}} + c\right)} b}"," ",0,"((c^(3/2) + c)*b*x + a*(c + sqrt(c)))*sqrt(b*sqrt(c)*x + a)/((c^2 + 2*c^(3/2) + c)*b)","A",0
2939,0,0,0,0.000000," ","integrate((a+b*(c*x^2)^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{c x^{2}} b + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(sqrt(c*x^2)*b + a)/x^2, x)","F",0
2940,0,0,0,0.000000," ","integrate((a+b*(c*x^2)^(1/2))^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{c x^{2}} b + a}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(sqrt(c*x^2)*b + a)/x^4, x)","F",0
2941,0,0,0,0.000000," ","integrate((a+b*(c*x^2)^(1/2))^(1/2)/x^6,x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{c x^{2}} b + a}}{x^{6}}\,{d x}"," ",0,"integrate(sqrt(sqrt(c*x^2)*b + a)/x^6, x)","F",0
2942,0,0,0,0.000000," ","integrate(x^8*(a+b*(c*x^2)^(3/2))^(1/2),x, algorithm=""maxima"")","\frac{{\left({\left(c^{7} + 3 \, c^{6} + 2 \, c^{5}\right)} b^{3} x^{9} + {\left(c^{5} + c^{4}\right)} a b^{2} \sqrt{c} x^{6} - 2 \, a^{2} b c^{3} x^{3} + 2 \, a^{3} \sqrt{c}\right)} \sqrt{b c^{\frac{3}{2}} x^{3} + a}}{3 \, {\left(c^{8} + 6 \, c^{7} + 11 \, c^{6} + 6 \, c^{5}\right)} b^{3}} + \frac{\frac{2}{315} \, b^{2} c^{\frac{11}{2}} {\left(\frac{15 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{7}{2}}}{b^{3} c^{\frac{9}{2}}} - \frac{42 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{5}{2}} a}{b^{3} c^{\frac{9}{2}}} + \frac{35 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}} a^{2}}{b^{3} c^{\frac{9}{2}}}\right)} - \frac{2}{315} \, b^{2} c^{5} {\left(\frac{15 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{7}{2}}}{b^{3} c^{\frac{9}{2}}} - \frac{42 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{5}{2}} a}{b^{3} c^{\frac{9}{2}}} + \frac{35 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}} a^{2}}{b^{3} c^{\frac{9}{2}}}\right)} + \frac{2}{105} \, b^{2} c^{\frac{9}{2}} {\left(\frac{15 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{7}{2}}}{b^{3} c^{\frac{9}{2}}} - \frac{42 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{5}{2}} a}{b^{3} c^{\frac{9}{2}}} + \frac{35 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}} a^{2}}{b^{3} c^{\frac{9}{2}}}\right)} - \frac{2}{105} \, b^{2} c^{4} {\left(\frac{15 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{7}{2}}}{b^{3} c^{\frac{9}{2}}} - \frac{42 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{5}{2}} a}{b^{3} c^{\frac{9}{2}}} + \frac{35 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}} a^{2}}{b^{3} c^{\frac{9}{2}}}\right)} + \frac{4}{315} \, b^{2} c^{\frac{7}{2}} {\left(\frac{15 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{7}{2}}}{b^{3} c^{\frac{9}{2}}} - \frac{42 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{5}{2}} a}{b^{3} c^{\frac{9}{2}}} + \frac{35 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}} a^{2}}{b^{3} c^{\frac{9}{2}}}\right)} - \frac{4}{45} \, a b c^{3} {\left(\frac{3 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{5}{2}}}{b^{2} c^{3}} - \frac{5 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}} a}{b^{2} c^{3}}\right)} - \frac{4}{315} \, b^{2} c^{3} {\left(\frac{15 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{7}{2}}}{b^{3} c^{\frac{9}{2}}} - \frac{42 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{5}{2}} a}{b^{3} c^{\frac{9}{2}}} + \frac{35 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}} a^{2}}{b^{3} c^{\frac{9}{2}}}\right)} + \frac{4}{45} \, a b c^{\frac{5}{2}} {\left(\frac{3 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{5}{2}}}{b^{2} c^{3}} - \frac{5 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}} a}{b^{2} c^{3}}\right)} - \frac{4}{45} \, a b c^{2} {\left(\frac{3 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{5}{2}}}{b^{2} c^{3}} - \frac{5 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}} a}{b^{2} c^{3}}\right)} + \frac{4}{45} \, a b c^{\frac{3}{2}} {\left(\frac{3 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{5}{2}}}{b^{2} c^{3}} - \frac{5 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}} a}{b^{2} c^{3}}\right)} + \frac{4 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}} a^{2}}{9 \, b c} - \frac{4 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}} a^{2}}{9 \, b c^{\frac{3}{2}}}}{{\left(c^{5} + 6 \, c^{4} + 11 \, c^{3} + 6 \, c^{2}\right)} b^{2} \sqrt{c}}"," ",0,"1/3*((c^7 + 3*c^6 + 2*c^5)*b^3*x^9 + (c^5 + c^4)*a*b^2*sqrt(c)*x^6 - 2*a^2*b*c^3*x^3 + 2*a^3*sqrt(c))*sqrt(b*c^(3/2)*x^3 + a)/((c^8 + 6*c^7 + 11*c^6 + 6*c^5)*b^3) + integrate(-((c^5 + 3*c^4 + 2*c^3 - (c^5 + 3*c^4 + 2*c^3)*sqrt(c))*b^2*x^8 + 2*(c^3 + c^2 - (c^2 + c)*sqrt(c))*a*b*x^5 - 2*a^2*x^2*(sqrt(c) - 1))*sqrt(b*c^(3/2)*x^3 + a), x)/((c^5 + 6*c^4 + 11*c^3 + 6*c^2)*b^2*sqrt(c))","F",0
2943,1,43,0,0.534351," ","integrate(x^5*(a+b*(c*x^2)^(3/2))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(\frac{3 \, {\left(\left(c x^{2}\right)^{\frac{3}{2}} b + a\right)}^{\frac{5}{2}}}{b^{2}} - \frac{5 \, {\left(\left(c x^{2}\right)^{\frac{3}{2}} b + a\right)}^{\frac{3}{2}} a}{b^{2}}\right)}}{45 \, c^{3}}"," ",0,"2/45*(3*((c*x^2)^(3/2)*b + a)^(5/2)/b^2 - 5*((c*x^2)^(3/2)*b + a)^(3/2)*a/b^2)/c^3","A",0
2944,0,0,0,0.000000," ","integrate(x^2*(a+b*(c*x^2)^(3/2))^(1/2),x, algorithm=""maxima"")","\frac{\frac{2 \, {\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}} {\left(c - \sqrt{c}\right)}}{9 \, b c^{\frac{3}{2}}}}{c + 1} + \frac{{\left(b c^{\frac{3}{2}} x^{3} + a\right)}^{\frac{3}{2}}}{3 \, {\left(c^{2} + c\right)} b \sqrt{c}}"," ",0,"(c - sqrt(c))*integrate(sqrt(b*c^(3/2)*x^3 + a)*x^2, x)/(c + 1) + 1/3*(b*c^(3/2)*x^3 + a)^(3/2)/((c^2 + c)*b*sqrt(c))","F",0
2945,1,61,0,1.151868," ","integrate((a+b*(c*x^2)^(3/2))^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{a} \log\left(\frac{\sqrt{\left(c x^{2}\right)^{\frac{3}{2}} b + a} - \sqrt{a}}{\sqrt{\left(c x^{2}\right)^{\frac{3}{2}} b + a} + \sqrt{a}}\right) + \frac{2}{3} \, \sqrt{\left(c x^{2}\right)^{\frac{3}{2}} b + a}"," ",0,"1/3*sqrt(a)*log((sqrt((c*x^2)^(3/2)*b + a) - sqrt(a))/(sqrt((c*x^2)^(3/2)*b + a) + sqrt(a))) + 2/3*sqrt((c*x^2)^(3/2)*b + a)","A",0
2946,0,0,0,0.000000," ","integrate((a+b*(c*x^2)^(3/2))^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{\left(c x^{2}\right)^{\frac{3}{2}} b + a}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt((c*x^2)^(3/2)*b + a)/x^4, x)","F",0
2947,0,0,0,0.000000," ","integrate(x^3*(a+b*(c*x^2)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\left(c x^{2}\right)^{\frac{3}{2}} b + a} x^{3}\,{d x}"," ",0,"integrate(sqrt((c*x^2)^(3/2)*b + a)*x^3, x)","F",0
2948,0,0,0,0.000000," ","integrate((a+b*(c*x^2)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\left(c x^{2}\right)^{\frac{3}{2}} b + a}\,{d x}"," ",0,"integrate(sqrt((c*x^2)^(3/2)*b + a), x)","F",0
2949,0,0,0,0.000000," ","integrate((a+b*(c*x^2)^(3/2))^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{\left(c x^{2}\right)^{\frac{3}{2}} b + a}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt((c*x^2)^(3/2)*b + a)/x^3, x)","F",0
2950,0,0,0,0.000000," ","integrate((a+b*(c*x^2)^(3/2))^(1/2)/x^6,x, algorithm=""maxima"")","\int \frac{\sqrt{\left(c x^{2}\right)^{\frac{3}{2}} b + a}}{x^{6}}\,{d x}"," ",0,"integrate(sqrt((c*x^2)^(3/2)*b + a)/x^6, x)","F",0
2951,0,0,0,0.000000," ","integrate(x^4*(a+b*(c*x^2)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\left(c x^{2}\right)^{\frac{3}{2}} b + a} x^{4}\,{d x}"," ",0,"integrate(sqrt((c*x^2)^(3/2)*b + a)*x^4, x)","F",0
2952,0,0,0,0.000000," ","integrate(x*(a+b*(c*x^2)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\left(c x^{2}\right)^{\frac{3}{2}} b + a} x\,{d x}"," ",0,"integrate(sqrt((c*x^2)^(3/2)*b + a)*x, x)","F",0
2953,0,0,0,0.000000," ","integrate((a+b*(c*x^2)^(3/2))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{\left(c x^{2}\right)^{\frac{3}{2}} b + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt((c*x^2)^(3/2)*b + a)/x^2, x)","F",0
2954,0,0,0,0.000000," ","integrate((a+b*(c*x^2)^(3/2))^(1/2)/x^5,x, algorithm=""maxima"")","\int \frac{\sqrt{\left(c x^{2}\right)^{\frac{3}{2}} b + a}}{x^{5}}\,{d x}"," ",0,"integrate(sqrt((c*x^2)^(3/2)*b + a)/x^5, x)","F",0
2955,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*(c*x^2)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\left(c x^{2}\right)^{\frac{3}{2}} b + a} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(sqrt((c*x^2)^(3/2)*b + a)*(d*x)^m, x)","F",0
2956,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*(c*x^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sqrt{c x^{2}} b + a} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(sqrt(c*x^2)*b + a)*(d*x)^m, x)","F",0
2957,0,0,0,0.000000," ","integrate((d*x)^m*(a+b/(c*x^2)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \left(d x\right)^{m} \sqrt{a + \frac{b}{\sqrt{c x^{2}}}}\,{d x}"," ",0,"integrate((d*x)^m*sqrt(a + b/sqrt(c*x^2)), x)","F",0
2958,0,0,0,0.000000," ","integrate((d*x)^m*(a+b/(c*x^2)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \left(d x\right)^{m} \sqrt{a + \frac{b}{\left(c x^{2}\right)^{\frac{3}{2}}}}\,{d x}"," ",0,"integrate((d*x)^m*sqrt(a + b/(c*x^2)^(3/2)), x)","F",0
2959,1,2,0,1.171181," ","integrate(1/(1+(x^3)^(2/3)),x, algorithm=""maxima"")","\arctan\left(x\right)"," ",0,"arctan(x)","A",0
2960,1,85,0,0.637673," ","integrate(x^5*(a+b*(c*x^3)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(\frac{35 \, {\left(\sqrt{c x^{3}} b + a\right)}^{\frac{9}{2}}}{b^{4}} - \frac{135 \, {\left(\sqrt{c x^{3}} b + a\right)}^{\frac{7}{2}} a}{b^{4}} + \frac{189 \, {\left(\sqrt{c x^{3}} b + a\right)}^{\frac{5}{2}} a^{2}}{b^{4}} - \frac{105 \, {\left(\sqrt{c x^{3}} b + a\right)}^{\frac{3}{2}} a^{3}}{b^{4}}\right)}}{945 \, c^{2}}"," ",0,"4/945*(35*(sqrt(c*x^3)*b + a)^(9/2)/b^4 - 135*(sqrt(c*x^3)*b + a)^(7/2)*a/b^4 + 189*(sqrt(c*x^3)*b + a)^(5/2)*a^2/b^4 - 105*(sqrt(c*x^3)*b + a)^(3/2)*a^3/b^4)/c^2","A",0
2961,1,43,0,0.453748," ","integrate(x^2*(a+b*(c*x^3)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(\frac{3 \, {\left(\sqrt{c x^{3}} b + a\right)}^{\frac{5}{2}}}{b^{2}} - \frac{5 \, {\left(\sqrt{c x^{3}} b + a\right)}^{\frac{3}{2}} a}{b^{2}}\right)}}{45 \, c}"," ",0,"4/45*(3*(sqrt(c*x^3)*b + a)^(5/2)/b^2 - 5*(sqrt(c*x^3)*b + a)^(3/2)*a/b^2)/c","A",0
2962,1,61,0,1.264326," ","integrate((a+b*(c*x^3)^(1/2))^(1/2)/x,x, algorithm=""maxima"")","\frac{2}{3} \, \sqrt{a} \log\left(\frac{\sqrt{\sqrt{c x^{3}} b + a} - \sqrt{a}}{\sqrt{\sqrt{c x^{3}} b + a} + \sqrt{a}}\right) + \frac{4}{3} \, \sqrt{\sqrt{c x^{3}} b + a}"," ",0,"2/3*sqrt(a)*log((sqrt(sqrt(c*x^3)*b + a) - sqrt(a))/(sqrt(sqrt(c*x^3)*b + a) + sqrt(a))) + 4/3*sqrt(sqrt(c*x^3)*b + a)","A",0
2963,1,126,0,1.164897," ","integrate((a+b*(c*x^3)^(1/2))^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{1}{12} \, {\left(\frac{b^{2} \log\left(\frac{\sqrt{\sqrt{c x^{3}} b + a} - \sqrt{a}}{\sqrt{\sqrt{c x^{3}} b + a} + \sqrt{a}}\right)}{a^{\frac{3}{2}}} + \frac{2 \, {\left({\left(\sqrt{c x^{3}} b + a\right)}^{\frac{3}{2}} b^{2} + \sqrt{\sqrt{c x^{3}} b + a} a b^{2}\right)}}{{\left(\sqrt{c x^{3}} b + a\right)}^{2} a - 2 \, {\left(\sqrt{c x^{3}} b + a\right)} a^{2} + a^{3}}\right)} c"," ",0,"-1/12*(b^2*log((sqrt(sqrt(c*x^3)*b + a) - sqrt(a))/(sqrt(sqrt(c*x^3)*b + a) + sqrt(a)))/a^(3/2) + 2*((sqrt(c*x^3)*b + a)^(3/2)*b^2 + sqrt(sqrt(c*x^3)*b + a)*a*b^2)/((sqrt(c*x^3)*b + a)^2*a - 2*(sqrt(c*x^3)*b + a)*a^2 + a^3))*c","A",0
2964,0,0,0,0.000000," ","integrate(x*(a+b*(c*x^3)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sqrt{c x^{3}} b + a} x\,{d x}"," ",0,"integrate(sqrt(sqrt(c*x^3)*b + a)*x, x)","F",0
2965,0,0,0,0.000000," ","integrate((a+b*(c*x^3)^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{c x^{3}} b + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(sqrt(c*x^3)*b + a)/x^2, x)","F",0
2966,0,0,0,0.000000," ","integrate((a+b*(c*x^3)^(1/2))^(1/2)/x^5,x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{c x^{3}} b + a}}{x^{5}}\,{d x}"," ",0,"integrate(sqrt(sqrt(c*x^3)*b + a)/x^5, x)","F",0
2967,0,0,0,0.000000," ","integrate(x^3*(a+b*(c*x^3)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sqrt{c x^{3}} b + a} x^{3}\,{d x}"," ",0,"integrate(sqrt(sqrt(c*x^3)*b + a)*x^3, x)","F",0
2968,0,0,0,0.000000," ","integrate((a+b*(c*x^3)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sqrt{c x^{3}} b + a}\,{d x}"," ",0,"integrate(sqrt(sqrt(c*x^3)*b + a), x)","F",0
2969,0,0,0,0.000000," ","integrate((a+b*(c*x^3)^(1/2))^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{\sqrt{c x^{3}} b + a}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(sqrt(c*x^3)*b + a)/x^3, x)","F",0
2970,1,85,0,0.597677," ","integrate(x^17*(a+b*(c*x^3)^(3/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(\frac{35 \, {\left(\left(c x^{3}\right)^{\frac{3}{2}} b + a\right)}^{\frac{9}{2}}}{b^{4}} - \frac{135 \, {\left(\left(c x^{3}\right)^{\frac{3}{2}} b + a\right)}^{\frac{7}{2}} a}{b^{4}} + \frac{189 \, {\left(\left(c x^{3}\right)^{\frac{3}{2}} b + a\right)}^{\frac{5}{2}} a^{2}}{b^{4}} - \frac{105 \, {\left(\left(c x^{3}\right)^{\frac{3}{2}} b + a\right)}^{\frac{3}{2}} a^{3}}{b^{4}}\right)}}{2835 \, c^{6}}"," ",0,"4/2835*(35*((c*x^3)^(3/2)*b + a)^(9/2)/b^4 - 135*((c*x^3)^(3/2)*b + a)^(7/2)*a/b^4 + 189*((c*x^3)^(3/2)*b + a)^(5/2)*a^2/b^4 - 105*((c*x^3)^(3/2)*b + a)^(3/2)*a^3/b^4)/c^6","A",0
2971,1,43,0,0.620221," ","integrate(x^8*(a+b*(c*x^3)^(3/2))^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(\frac{3 \, {\left(\left(c x^{3}\right)^{\frac{3}{2}} b + a\right)}^{\frac{5}{2}}}{b^{2}} - \frac{5 \, {\left(\left(c x^{3}\right)^{\frac{3}{2}} b + a\right)}^{\frac{3}{2}} a}{b^{2}}\right)}}{135 \, c^{3}}"," ",0,"4/135*(3*((c*x^3)^(3/2)*b + a)^(5/2)/b^2 - 5*((c*x^3)^(3/2)*b + a)^(3/2)*a/b^2)/c^3","A",0
2972,1,61,0,1.244809," ","integrate((a+b*(c*x^3)^(3/2))^(1/2)/x,x, algorithm=""maxima"")","\frac{2}{9} \, \sqrt{a} \log\left(\frac{\sqrt{\left(c x^{3}\right)^{\frac{3}{2}} b + a} - \sqrt{a}}{\sqrt{\left(c x^{3}\right)^{\frac{3}{2}} b + a} + \sqrt{a}}\right) + \frac{4}{9} \, \sqrt{\left(c x^{3}\right)^{\frac{3}{2}} b + a}"," ",0,"2/9*sqrt(a)*log((sqrt((c*x^3)^(3/2)*b + a) - sqrt(a))/(sqrt((c*x^3)^(3/2)*b + a) + sqrt(a))) + 4/9*sqrt((c*x^3)^(3/2)*b + a)","A",0
2973,1,128,0,1.206766," ","integrate((a+b*(c*x^3)^(3/2))^(1/2)/x^10,x, algorithm=""maxima"")","-\frac{1}{36} \, {\left(\frac{b^{2} \log\left(\frac{\sqrt{\left(c x^{3}\right)^{\frac{3}{2}} b + a} - \sqrt{a}}{\sqrt{\left(c x^{3}\right)^{\frac{3}{2}} b + a} + \sqrt{a}}\right)}{a^{\frac{3}{2}}} + \frac{2 \, {\left({\left(\left(c x^{3}\right)^{\frac{3}{2}} b + a\right)}^{\frac{3}{2}} b^{2} + \sqrt{\left(c x^{3}\right)^{\frac{3}{2}} b + a} a b^{2}\right)}}{{\left(\left(c x^{3}\right)^{\frac{3}{2}} b + a\right)}^{2} a - 2 \, {\left(\left(c x^{3}\right)^{\frac{3}{2}} b + a\right)} a^{2} + a^{3}}\right)} c^{3}"," ",0,"-1/36*(b^2*log((sqrt((c*x^3)^(3/2)*b + a) - sqrt(a))/(sqrt((c*x^3)^(3/2)*b + a) + sqrt(a)))/a^(3/2) + 2*(((c*x^3)^(3/2)*b + a)^(3/2)*b^2 + sqrt((c*x^3)^(3/2)*b + a)*a*b^2)/(((c*x^3)^(3/2)*b + a)^2*a - 2*((c*x^3)^(3/2)*b + a)*a^2 + a^3))*c^3","A",0
2974,0,0,0,0.000000," ","integrate(x^2*(a+b*(c*x^3)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\left(c x^{3}\right)^{\frac{3}{2}} b + a} x^{2}\,{d x}"," ",0,"integrate(sqrt((c*x^3)^(3/2)*b + a)*x^2, x)","F",0
2975,0,0,0,0.000000," ","integrate(x^9*(a+b*(c*x^3)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\left(c x^{3}\right)^{\frac{3}{2}} b + a} x^{9}\,{d x}"," ",0,"integrate(sqrt((c*x^3)^(3/2)*b + a)*x^9, x)","F",0
2976,0,0,0,0.000000," ","integrate((a+b*(c*x^3)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\left(c x^{3}\right)^{\frac{3}{2}} b + a}\,{d x}"," ",0,"integrate(sqrt((c*x^3)^(3/2)*b + a), x)","F",0
2977,0,0,0,0.000000," ","integrate((a+b*(c*x^3)^(3/2))^(1/2)/x^9,x, algorithm=""maxima"")","\int \frac{\sqrt{\left(c x^{3}\right)^{\frac{3}{2}} b + a}}{x^{9}}\,{d x}"," ",0,"integrate(sqrt((c*x^3)^(3/2)*b + a)/x^9, x)","F",0
2978,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*(c*x^3)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\left(c x^{3}\right)^{\frac{3}{2}} b + a} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(sqrt((c*x^3)^(3/2)*b + a)*(d*x)^m, x)","F",0
2979,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*(c*x^3)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\sqrt{c x^{3}} b + a} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(sqrt(c*x^3)*b + a)*(d*x)^m, x)","F",0
2980,0,0,0,0.000000," ","integrate((d*x)^m*(a+b/(c*x^3)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \left(d x\right)^{m} \sqrt{a + \frac{b}{\sqrt{c x^{3}}}}\,{d x}"," ",0,"integrate((d*x)^m*sqrt(a + b/sqrt(c*x^3)), x)","F",0
2981,0,0,0,0.000000," ","integrate((d*x)^m*(a+b/(c*x^3)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \left(d x\right)^{m} \sqrt{a + \frac{b}{\left(c x^{3}\right)^{\frac{3}{2}}}}\,{d x}"," ",0,"integrate((d*x)^m*sqrt(a + b/(c*x^3)^(3/2)), x)","F",0
2982,1,211,0,1.349345," ","integrate(x*(a+b*(c/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{1}{192} \, {\left(\frac{15 \, b^{4} \log\left(\frac{\sqrt{b \sqrt{\frac{c}{x}} + a} - \sqrt{a}}{\sqrt{b \sqrt{\frac{c}{x}} + a} + \sqrt{a}}\right)}{a^{\frac{7}{2}}} + \frac{2 \, {\left(15 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{7}{2}} b^{4} - 55 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{5}{2}} a b^{4} + 73 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{3}{2}} a^{2} b^{4} + 15 \, \sqrt{b \sqrt{\frac{c}{x}} + a} a^{3} b^{4}\right)}}{{\left(b \sqrt{\frac{c}{x}} + a\right)}^{4} a^{3} - 4 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{3} a^{4} + 6 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{2} a^{5} - 4 \, {\left(b \sqrt{\frac{c}{x}} + a\right)} a^{6} + a^{7}}\right)} c^{2}"," ",0,"1/192*(15*b^4*log((sqrt(b*sqrt(c/x) + a) - sqrt(a))/(sqrt(b*sqrt(c/x) + a) + sqrt(a)))/a^(7/2) + 2*(15*(b*sqrt(c/x) + a)^(7/2)*b^4 - 55*(b*sqrt(c/x) + a)^(5/2)*a*b^4 + 73*(b*sqrt(c/x) + a)^(3/2)*a^2*b^4 + 15*sqrt(b*sqrt(c/x) + a)*a^3*b^4)/((b*sqrt(c/x) + a)^4*a^3 - 4*(b*sqrt(c/x) + a)^3*a^4 + 6*(b*sqrt(c/x) + a)^2*a^5 - 4*(b*sqrt(c/x) + a)*a^6 + a^7))*c^2","A",0
2983,1,126,0,1.322924," ","integrate((a+b*(c/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(\frac{b^{2} \log\left(\frac{\sqrt{b \sqrt{\frac{c}{x}} + a} - \sqrt{a}}{\sqrt{b \sqrt{\frac{c}{x}} + a} + \sqrt{a}}\right)}{a^{\frac{3}{2}}} + \frac{2 \, {\left({\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{3}{2}} b^{2} + \sqrt{b \sqrt{\frac{c}{x}} + a} a b^{2}\right)}}{{\left(b \sqrt{\frac{c}{x}} + a\right)}^{2} a - 2 \, {\left(b \sqrt{\frac{c}{x}} + a\right)} a^{2} + a^{3}}\right)} c"," ",0,"1/4*(b^2*log((sqrt(b*sqrt(c/x) + a) - sqrt(a))/(sqrt(b*sqrt(c/x) + a) + sqrt(a)))/a^(3/2) + 2*((b*sqrt(c/x) + a)^(3/2)*b^2 + sqrt(b*sqrt(c/x) + a)*a*b^2)/((b*sqrt(c/x) + a)^2*a - 2*(b*sqrt(c/x) + a)*a^2 + a^3))*c","A",0
2984,1,61,0,1.290087," ","integrate((a+b*(c/x)^(1/2))^(1/2)/x,x, algorithm=""maxima"")","-2 \, \sqrt{a} \log\left(\frac{\sqrt{b \sqrt{\frac{c}{x}} + a} - \sqrt{a}}{\sqrt{b \sqrt{\frac{c}{x}} + a} + \sqrt{a}}\right) - 4 \, \sqrt{b \sqrt{\frac{c}{x}} + a}"," ",0,"-2*sqrt(a)*log((sqrt(b*sqrt(c/x) + a) - sqrt(a))/(sqrt(b*sqrt(c/x) + a) + sqrt(a))) - 4*sqrt(b*sqrt(c/x) + a)","A",0
2985,1,43,0,0.536568," ","integrate((a+b*(c/x)^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","-\frac{4 \, {\left(\frac{3 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{5}{2}}}{b^{2}} - \frac{5 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{3}{2}} a}{b^{2}}\right)}}{15 \, c}"," ",0,"-4/15*(3*(b*sqrt(c/x) + a)^(5/2)/b^2 - 5*(b*sqrt(c/x) + a)^(3/2)*a/b^2)/c","A",0
2986,1,85,0,0.450809," ","integrate((a+b*(c/x)^(1/2))^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{4 \, {\left(\frac{35 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{9}{2}}}{b^{4}} - \frac{135 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{7}{2}} a}{b^{4}} + \frac{189 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{5}{2}} a^{2}}{b^{4}} - \frac{105 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{3}{2}} a^{3}}{b^{4}}\right)}}{315 \, c^{2}}"," ",0,"-4/315*(35*(b*sqrt(c/x) + a)^(9/2)/b^4 - 135*(b*sqrt(c/x) + a)^(7/2)*a/b^4 + 189*(b*sqrt(c/x) + a)^(5/2)*a^2/b^4 - 105*(b*sqrt(c/x) + a)^(3/2)*a^3/b^4)/c^2","A",0
2987,1,127,0,0.590540," ","integrate((a+b*(c/x)^(1/2))^(1/2)/x^4,x, algorithm=""maxima"")","-\frac{4 \, {\left(\frac{693 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{13}{2}}}{b^{6}} - \frac{4095 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{11}{2}} a}{b^{6}} + \frac{10010 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{9}{2}} a^{2}}{b^{6}} - \frac{12870 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{7}{2}} a^{3}}{b^{6}} + \frac{9009 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{5}{2}} a^{4}}{b^{6}} - \frac{3003 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{3}{2}} a^{5}}{b^{6}}\right)}}{9009 \, c^{3}}"," ",0,"-4/9009*(693*(b*sqrt(c/x) + a)^(13/2)/b^6 - 4095*(b*sqrt(c/x) + a)^(11/2)*a/b^6 + 10010*(b*sqrt(c/x) + a)^(9/2)*a^2/b^6 - 12870*(b*sqrt(c/x) + a)^(7/2)*a^3/b^6 + 9009*(b*sqrt(c/x) + a)^(5/2)*a^4/b^6 - 3003*(b*sqrt(c/x) + a)^(3/2)*a^5/b^6)/c^3","A",0
2988,1,211,0,1.338610," ","integrate(x/(a+b*(c/x)^(1/2))^(1/2),x, algorithm=""maxima"")","-\frac{1}{192} \, c^{2} {\left(\frac{105 \, b^{4} \log\left(\frac{\sqrt{b \sqrt{\frac{c}{x}} + a} - \sqrt{a}}{\sqrt{b \sqrt{\frac{c}{x}} + a} + \sqrt{a}}\right)}{a^{\frac{9}{2}}} + \frac{2 \, {\left(105 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{7}{2}} b^{4} - 385 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{5}{2}} a b^{4} + 511 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{3}{2}} a^{2} b^{4} - 279 \, \sqrt{b \sqrt{\frac{c}{x}} + a} a^{3} b^{4}\right)}}{{\left(b \sqrt{\frac{c}{x}} + a\right)}^{4} a^{4} - 4 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{3} a^{5} + 6 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{2} a^{6} - 4 \, {\left(b \sqrt{\frac{c}{x}} + a\right)} a^{7} + a^{8}}\right)}"," ",0,"-1/192*c^2*(105*b^4*log((sqrt(b*sqrt(c/x) + a) - sqrt(a))/(sqrt(b*sqrt(c/x) + a) + sqrt(a)))/a^(9/2) + 2*(105*(b*sqrt(c/x) + a)^(7/2)*b^4 - 385*(b*sqrt(c/x) + a)^(5/2)*a*b^4 + 511*(b*sqrt(c/x) + a)^(3/2)*a^2*b^4 - 279*sqrt(b*sqrt(c/x) + a)*a^3*b^4)/((b*sqrt(c/x) + a)^4*a^4 - 4*(b*sqrt(c/x) + a)^3*a^5 + 6*(b*sqrt(c/x) + a)^2*a^6 - 4*(b*sqrt(c/x) + a)*a^7 + a^8))","A",0
2989,1,131,0,1.163270," ","integrate(1/(a+b*(c/x)^(1/2))^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, c {\left(\frac{3 \, b^{2} \log\left(\frac{\sqrt{b \sqrt{\frac{c}{x}} + a} - \sqrt{a}}{\sqrt{b \sqrt{\frac{c}{x}} + a} + \sqrt{a}}\right)}{a^{\frac{5}{2}}} + \frac{2 \, {\left(3 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{3}{2}} b^{2} - 5 \, \sqrt{b \sqrt{\frac{c}{x}} + a} a b^{2}\right)}}{{\left(b \sqrt{\frac{c}{x}} + a\right)}^{2} a^{2} - 2 \, {\left(b \sqrt{\frac{c}{x}} + a\right)} a^{3} + a^{4}}\right)}"," ",0,"-1/4*c*(3*b^2*log((sqrt(b*sqrt(c/x) + a) - sqrt(a))/(sqrt(b*sqrt(c/x) + a) + sqrt(a)))/a^(5/2) + 2*(3*(b*sqrt(c/x) + a)^(3/2)*b^2 - 5*sqrt(b*sqrt(c/x) + a)*a*b^2)/((b*sqrt(c/x) + a)^2*a^2 - 2*(b*sqrt(c/x) + a)*a^3 + a^4))","A",0
2990,1,45,0,1.114378," ","integrate(1/x/(a+b*(c/x)^(1/2))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \log\left(\frac{\sqrt{b \sqrt{\frac{c}{x}} + a} - \sqrt{a}}{\sqrt{b \sqrt{\frac{c}{x}} + a} + \sqrt{a}}\right)}{\sqrt{a}}"," ",0,"-2*log((sqrt(b*sqrt(c/x) + a) - sqrt(a))/(sqrt(b*sqrt(c/x) + a) + sqrt(a)))/sqrt(a)","A",0
2991,1,42,0,0.557245," ","integrate(1/x^2/(a+b*(c/x)^(1/2))^(1/2),x, algorithm=""maxima"")","-\frac{4 \, {\left(\frac{{\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{3}{2}}}{b^{2}} - \frac{3 \, \sqrt{b \sqrt{\frac{c}{x}} + a} a}{b^{2}}\right)}}{3 \, c}"," ",0,"-4/3*((b*sqrt(c/x) + a)^(3/2)/b^2 - 3*sqrt(b*sqrt(c/x) + a)*a/b^2)/c","A",0
2992,1,85,0,0.532702," ","integrate(1/x^3/(a+b*(c/x)^(1/2))^(1/2),x, algorithm=""maxima"")","-\frac{4 \, {\left(\frac{5 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{7}{2}}}{b^{4}} - \frac{21 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{5}{2}} a}{b^{4}} + \frac{35 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{3}{2}} a^{2}}{b^{4}} - \frac{35 \, \sqrt{b \sqrt{\frac{c}{x}} + a} a^{3}}{b^{4}}\right)}}{35 \, c^{2}}"," ",0,"-4/35*(5*(b*sqrt(c/x) + a)^(7/2)/b^4 - 21*(b*sqrt(c/x) + a)^(5/2)*a/b^4 + 35*(b*sqrt(c/x) + a)^(3/2)*a^2/b^4 - 35*sqrt(b*sqrt(c/x) + a)*a^3/b^4)/c^2","A",0
2993,1,127,0,0.477521," ","integrate(1/x^4/(a+b*(c/x)^(1/2))^(1/2),x, algorithm=""maxima"")","-\frac{4 \, {\left(\frac{63 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{11}{2}}}{b^{6}} - \frac{385 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{9}{2}} a}{b^{6}} + \frac{990 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{7}{2}} a^{2}}{b^{6}} - \frac{1386 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{5}{2}} a^{3}}{b^{6}} + \frac{1155 \, {\left(b \sqrt{\frac{c}{x}} + a\right)}^{\frac{3}{2}} a^{4}}{b^{6}} - \frac{693 \, \sqrt{b \sqrt{\frac{c}{x}} + a} a^{5}}{b^{6}}\right)}}{693 \, c^{3}}"," ",0,"-4/693*(63*(b*sqrt(c/x) + a)^(11/2)/b^6 - 385*(b*sqrt(c/x) + a)^(9/2)*a/b^6 + 990*(b*sqrt(c/x) + a)^(7/2)*a^2/b^6 - 1386*(b*sqrt(c/x) + a)^(5/2)*a^3/b^6 + 1155*(b*sqrt(c/x) + a)^(3/2)*a^4/b^6 - 693*sqrt(b*sqrt(c/x) + a)*a^5/b^6)/c^3","A",0
2994,1,62,0,0.551941," ","integrate(1/(1+(1/x)^(1/2))^(1/2),x, algorithm=""maxima"")","-\frac{3 \, {\left(\frac{1}{\sqrt{x}} + 1\right)}^{\frac{3}{2}} - 5 \, \sqrt{\frac{1}{\sqrt{x}} + 1}}{2 \, {\left({\left(\frac{1}{\sqrt{x}} + 1\right)}^{2} - \frac{2}{\sqrt{x}} - 1\right)}} + \frac{3}{4} \, \log\left(\sqrt{\frac{1}{\sqrt{x}} + 1} + 1\right) - \frac{3}{4} \, \log\left(\sqrt{\frac{1}{\sqrt{x}} + 1} - 1\right)"," ",0,"-1/2*(3*(1/sqrt(x) + 1)^(3/2) - 5*sqrt(1/sqrt(x) + 1))/((1/sqrt(x) + 1)^2 - 2/sqrt(x) - 1) + 3/4*log(sqrt(1/sqrt(x) + 1) + 1) - 3/4*log(sqrt(1/sqrt(x) + 1) - 1)","A",0
2995,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*(c/x)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \left(\frac{c}{x}\right)^{\frac{3}{2}} + a} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(b*(c/x)^(3/2) + a)*(d*x)^m, x)","F",0
2996,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*(c/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sqrt{\frac{c}{x}} + a} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(b*sqrt(c/x) + a)*(d*x)^m, x)","F",0
2997,0,0,0,0.000000," ","integrate((d*x)^m*(a+b/(c/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \left(d x\right)^{m} \sqrt{a + \frac{b}{\sqrt{\frac{c}{x}}}}\,{d x}"," ",0,"integrate((d*x)^m*sqrt(a + b/sqrt(c/x)), x)","F",0
2998,0,0,0,0.000000," ","integrate((d*x)^m*(a+b/(c/x)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \left(d x\right)^{m} \sqrt{a + \frac{b}{\left(\frac{c}{x}\right)^{\frac{3}{2}}}}\,{d x}"," ",0,"integrate((d*x)^m*sqrt(a + b/(c/x)^(3/2)), x)","F",0
2999,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*(c/x)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{\sqrt{b \left(\frac{c}{x}\right)^{\frac{3}{2}} + a}}\,{d x}"," ",0,"integrate((d*x)^m/sqrt(b*(c/x)^(3/2) + a), x)","F",0
3000,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*(c/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{\sqrt{b \sqrt{\frac{c}{x}} + a}}\,{d x}"," ",0,"integrate((d*x)^m/sqrt(b*sqrt(c/x) + a), x)","F",0
3001,0,0,0,0.000000," ","integrate((d*x)^m/(a+b/(c/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{\sqrt{a + \frac{b}{\sqrt{\frac{c}{x}}}}}\,{d x}"," ",0,"integrate((d*x)^m/sqrt(a + b/sqrt(c/x)), x)","F",0
3002,0,0,0,0.000000," ","integrate((d*x)^m/(a+b/(c/x)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{\sqrt{a + \frac{b}{\left(\frac{c}{x}\right)^{\frac{3}{2}}}}}\,{d x}"," ",0,"integrate((d*x)^m/sqrt(a + b/(c/x)^(3/2)), x)","F",0
3003,0,0,0,0.000000," ","integrate(a+b*(c*x^n)^(1/n),x, algorithm=""maxima"")","b c^{\left(\frac{1}{n}\right)} \int {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)}\,{d x} + a x"," ",0,"b*c^(1/n)*integrate((x^n)^(1/n), x) + a*x","F",0
3004,0,0,0,0.000000," ","integrate((a+b*(c*x^n)^(1/n))^2,x, algorithm=""maxima"")","b^{2} c^{\frac{2}{n}} \int {\left(x^{n}\right)}^{\frac{2}{n}}\,{d x} + 2 \, a b c^{\left(\frac{1}{n}\right)} \int {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)}\,{d x} + a^{2} x"," ",0,"b^2*c^(2/n)*integrate((x^n)^(2/n), x) + 2*a*b*c^(1/n)*integrate((x^n)^(1/n), x) + a^2*x","F",0
3005,0,0,0,0.000000," ","integrate((a+b*(c*x^n)^(1/n))^3,x, algorithm=""maxima"")","b^{3} c^{\frac{3}{n}} \int {\left(x^{n}\right)}^{\frac{3}{n}}\,{d x} + 3 \, a b^{2} c^{\frac{2}{n}} \int {\left(x^{n}\right)}^{\frac{2}{n}}\,{d x} + 3 \, a^{2} b c^{\left(\frac{1}{n}\right)} \int {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)}\,{d x} + a^{3} x"," ",0,"b^3*c^(3/n)*integrate((x^n)^(3/n), x) + 3*a*b^2*c^(2/n)*integrate((x^n)^(2/n), x) + 3*a^2*b*c^(1/n)*integrate((x^n)^(1/n), x) + a^3*x","F",0
3006,0,0,0,0.000000," ","integrate(x^3/(a+b*(c*x^n)^(1/n)),x, algorithm=""maxima"")","\int \frac{x^{3}}{\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a}\,{d x}"," ",0,"integrate(x^3/((c*x^n)^(1/n)*b + a), x)","F",0
3007,0,0,0,0.000000," ","integrate(x^2/(a+b*(c*x^n)^(1/n)),x, algorithm=""maxima"")","\int \frac{x^{2}}{\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a}\,{d x}"," ",0,"integrate(x^2/((c*x^n)^(1/n)*b + a), x)","F",0
3008,0,0,0,0.000000," ","integrate(x/(a+b*(c*x^n)^(1/n)),x, algorithm=""maxima"")","\int \frac{x}{\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a}\,{d x}"," ",0,"integrate(x/((c*x^n)^(1/n)*b + a), x)","F",0
3009,0,0,0,0.000000," ","integrate(1/(a+b*(c*x^n)^(1/n)),x, algorithm=""maxima"")","\int \frac{1}{\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a}\,{d x}"," ",0,"integrate(1/((c*x^n)^(1/n)*b + a), x)","F",0
3010,1,40,0,0.649057," ","integrate(1/x/(a+b*(c*x^n)^(1/n)),x, algorithm=""maxima"")","\frac{\log\left(x\right)}{a} - \frac{\log\left(\frac{b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a}{b c^{\left(\frac{1}{n}\right)}}\right)}{a}"," ",0,"log(x)/a - log((b*c^(1/n)*(x^n)^(1/n) + a)/(b*c^(1/n)))/a","A",0
3011,0,0,0,0.000000," ","integrate(1/x^2/(a+b*(c*x^n)^(1/n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/(((c*x^n)^(1/n)*b + a)*x^2), x)","F",0
3012,0,0,0,0.000000," ","integrate(1/x^3/(a+b*(c*x^n)^(1/n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a\right)} x^{3}}\,{d x}"," ",0,"integrate(1/(((c*x^n)^(1/n)*b + a)*x^3), x)","F",0
3013,0,0,0,0.000000," ","integrate(x^3/(a+b*(c*x^n)^(1/n))^2,x, algorithm=""maxima"")","\frac{x^{4}}{a b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{2}} - 3 \, \int \frac{x^{3}}{a b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{2}}\,{d x}"," ",0,"x^4/(a*b*c^(1/n)*(x^n)^(1/n) + a^2) - 3*integrate(x^3/(a*b*c^(1/n)*(x^n)^(1/n) + a^2), x)","F",0
3014,0,0,0,0.000000," ","integrate(x^2/(a+b*(c*x^n)^(1/n))^2,x, algorithm=""maxima"")","\frac{x^{3}}{a b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{2}} - 2 \, \int \frac{x^{2}}{a b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{2}}\,{d x}"," ",0,"x^3/(a*b*c^(1/n)*(x^n)^(1/n) + a^2) - 2*integrate(x^2/(a*b*c^(1/n)*(x^n)^(1/n) + a^2), x)","F",0
3015,0,0,0,0.000000," ","integrate(x/(a+b*(c*x^n)^(1/n))^2,x, algorithm=""maxima"")","\frac{x^{2}}{a b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{2}} - \int \frac{x}{a b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{2}}\,{d x}"," ",0,"x^2/(a*b*c^(1/n)*(x^n)^(1/n) + a^2) - integrate(x/(a*b*c^(1/n)*(x^n)^(1/n) + a^2), x)","F",0
3016,1,23,0,0.540221," ","integrate(1/(a+b*(c*x^n)^(1/n))^2,x, algorithm=""maxima"")","\frac{x}{a b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{2}}"," ",0,"x/(a*b*c^(1/n)*(x^n)^(1/n) + a^2)","A",0
3017,1,61,0,0.527627," ","integrate(1/x/(a+b*(c*x^n)^(1/n))^2,x, algorithm=""maxima"")","\frac{1}{a b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{2}} + \frac{\log\left(x\right)}{a^{2}} - \frac{\log\left(\frac{b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a}{b c^{\left(\frac{1}{n}\right)}}\right)}{a^{2}}"," ",0,"1/(a*b*c^(1/n)*(x^n)^(1/n) + a^2) + log(x)/a^2 - log((b*c^(1/n)*(x^n)^(1/n) + a)/(b*c^(1/n)))/a^2","A",0
3018,0,0,0,0.000000," ","integrate(1/x^2/(a+b*(c*x^n)^(1/n))^2,x, algorithm=""maxima"")","\frac{1}{a b c^{\left(\frac{1}{n}\right)} x {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{2} x} + 2 \, \int \frac{1}{a b c^{\left(\frac{1}{n}\right)} x^{2} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{2} x^{2}}\,{d x}"," ",0,"1/(a*b*c^(1/n)*x*(x^n)^(1/n) + a^2*x) + 2*integrate(1/(a*b*c^(1/n)*x^2*(x^n)^(1/n) + a^2*x^2), x)","F",0
3019,0,0,0,0.000000," ","integrate(1/x^3/(a+b*(c*x^n)^(1/n))^2,x, algorithm=""maxima"")","\frac{1}{a b c^{\left(\frac{1}{n}\right)} x^{2} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{2} x^{2}} + 3 \, \int \frac{1}{a b c^{\left(\frac{1}{n}\right)} x^{3} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{2} x^{3}}\,{d x}"," ",0,"1/(a*b*c^(1/n)*x^2*(x^n)^(1/n) + a^2*x^2) + 3*integrate(1/(a*b*c^(1/n)*x^3*(x^n)^(1/n) + a^2*x^3), x)","F",0
3020,1,69,0,0.562489," ","integrate(1/(a+b*(c*x^n)^(1/n))^3,x, algorithm=""maxima"")","\frac{b c^{\left(\frac{1}{n}\right)} x {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + 2 \, a x}{2 \, {\left(a^{2} b^{2} c^{\frac{2}{n}} {\left(x^{n}\right)}^{\frac{2}{n}} + 2 \, a^{3} b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{4}\right)}}"," ",0,"1/2*(b*c^(1/n)*x*(x^n)^(1/n) + 2*a*x)/(a^2*b^2*c^(2/n)*(x^n)^(2/n) + 2*a^3*b*c^(1/n)*(x^n)^(1/n) + a^4)","B",0
3021,0,0,0,0.000000," ","integrate(x/(1+(x^n)^(1/n))^2,x, algorithm=""maxima"")","\frac{x^{2}}{{\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + 1} - \int \frac{x}{{\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + 1}\,{d x}"," ",0,"x^2/((x^n)^(1/n) + 1) - integrate(x/((x^n)^(1/n) + 1), x)","F",0
3022,0,0,0,0.000000," ","integrate(x^3*(a+b*(c*x^n)^(1/n))^p,x, algorithm=""maxima"")","\int {\left(\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a\right)}^{p} x^{3}\,{d x}"," ",0,"integrate(((c*x^n)^(1/n)*b + a)^p*x^3, x)","F",0
3023,0,0,0,0.000000," ","integrate(x^2*(a+b*(c*x^n)^(1/n))^p,x, algorithm=""maxima"")","\int {\left(\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate(((c*x^n)^(1/n)*b + a)^p*x^2, x)","F",0
3024,0,0,0,0.000000," ","integrate(x*(a+b*(c*x^n)^(1/n))^p,x, algorithm=""maxima"")","\int {\left(\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a\right)}^{p} x\,{d x}"," ",0,"integrate(((c*x^n)^(1/n)*b + a)^p*x, x)","F",0
3025,0,0,0,0.000000," ","integrate((a+b*(c*x^n)^(1/n))^p,x, algorithm=""maxima"")","\int {\left(\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a\right)}^{p}\,{d x}"," ",0,"integrate(((c*x^n)^(1/n)*b + a)^p, x)","F",0
3026,0,0,0,0.000000," ","integrate((a+b*(c*x^n)^(1/n))^p/x,x, algorithm=""maxima"")","\int \frac{{\left(\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate(((c*x^n)^(1/n)*b + a)^p/x, x)","F",0
3027,0,0,0,0.000000," ","integrate((a+b*(c*x^n)^(1/n))^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate(((c*x^n)^(1/n)*b + a)^p/x^2, x)","F",0
3028,0,0,0,0.000000," ","integrate((a+b*(c*x^n)^(2/n))^3,x, algorithm=""maxima"")","b^{3} c^{\frac{6}{n}} \int {\left(x^{n}\right)}^{\frac{6}{n}}\,{d x} + 3 \, a b^{2} c^{\frac{4}{n}} \int {\left(x^{n}\right)}^{\frac{4}{n}}\,{d x} + 3 \, a^{2} b c^{\frac{2}{n}} \int {\left(x^{n}\right)}^{\frac{2}{n}}\,{d x} + a^{3} x"," ",0,"b^3*c^(6/n)*integrate((x^n)^(6/n), x) + 3*a*b^2*c^(4/n)*integrate((x^n)^(4/n), x) + 3*a^2*b*c^(2/n)*integrate((x^n)^(2/n), x) + a^3*x","F",0
3029,0,0,0,0.000000," ","integrate((a+b*(c*x^n)^(2/n))^2,x, algorithm=""maxima"")","b^{2} c^{\frac{4}{n}} \int {\left(x^{n}\right)}^{\frac{4}{n}}\,{d x} + 2 \, a b c^{\frac{2}{n}} \int {\left(x^{n}\right)}^{\frac{2}{n}}\,{d x} + a^{2} x"," ",0,"b^2*c^(4/n)*integrate((x^n)^(4/n), x) + 2*a*b*c^(2/n)*integrate((x^n)^(2/n), x) + a^2*x","F",0
3030,0,0,0,0.000000," ","integrate(a+b*(c*x^n)^(2/n),x, algorithm=""maxima"")","b c^{\frac{2}{n}} \int {\left(x^{n}\right)}^{\frac{2}{n}}\,{d x} + a x"," ",0,"b*c^(2/n)*integrate((x^n)^(2/n), x) + a*x","F",0
3031,0,0,0,0.000000," ","integrate(1/(a+b*(c*x^n)^(2/n)),x, algorithm=""maxima"")","\int \frac{1}{\left(c x^{n}\right)^{\frac{2}{n}} b + a}\,{d x}"," ",0,"integrate(1/((c*x^n)^(2/n)*b + a), x)","F",0
3032,0,0,0,0.000000," ","integrate(1/(a+b*(c*x^n)^(2/n))^2,x, algorithm=""maxima"")","\frac{x}{2 \, {\left(a b c^{\frac{2}{n}} {\left(x^{n}\right)}^{\frac{2}{n}} + a^{2}\right)}} + \int \frac{1}{2 \, {\left(a b c^{\frac{2}{n}} {\left(x^{n}\right)}^{\frac{2}{n}} + a^{2}\right)}}\,{d x}"," ",0,"1/2*x/(a*b*c^(2/n)*(x^n)^(2/n) + a^2) + integrate(1/2/(a*b*c^(2/n)*(x^n)^(2/n) + a^2), x)","F",0
3033,0,0,0,0.000000," ","integrate(1/(a+b*(c*x^n)^(2/n))^3,x, algorithm=""maxima"")","\frac{3 \, b c^{\frac{2}{n}} x {\left(x^{n}\right)}^{\frac{2}{n}} + 5 \, a x}{8 \, {\left(a^{2} b^{2} c^{\frac{4}{n}} {\left(x^{n}\right)}^{\frac{4}{n}} + 2 \, a^{3} b c^{\frac{2}{n}} {\left(x^{n}\right)}^{\frac{2}{n}} + a^{4}\right)}} + 3 \, \int \frac{1}{8 \, {\left(a^{2} b c^{\frac{2}{n}} {\left(x^{n}\right)}^{\frac{2}{n}} + a^{3}\right)}}\,{d x}"," ",0,"1/8*(3*b*c^(2/n)*x*(x^n)^(2/n) + 5*a*x)/(a^2*b^2*c^(4/n)*(x^n)^(4/n) + 2*a^3*b*c^(2/n)*(x^n)^(2/n) + a^4) + 3*integrate(1/8/(a^2*b*c^(2/n)*(x^n)^(2/n) + a^3), x)","F",0
3034,1,6,0,1.357176," ","integrate(1/(1+4*(x^4)^(1/2)),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(2 \, x\right)"," ",0,"1/2*arctan(2*x)","A",0
3035,1,17,0,0.536685," ","integrate(1/(1-4*(x^4)^(1/2)),x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(2 \, x + 1\right) - \frac{1}{4} \, \log\left(2 \, x - 1\right)"," ",0,"1/4*log(2*x + 1) - 1/4*log(2*x - 1)","A",0
3036,1,6,0,1.250145," ","integrate(1/(1+4*(x^6)^(1/3)),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(2 \, x\right)"," ",0,"1/2*arctan(2*x)","A",0
3037,1,17,0,0.472388," ","integrate(1/(1-4*(x^6)^(1/3)),x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(2 \, x + 1\right) - \frac{1}{4} \, \log\left(2 \, x - 1\right)"," ",0,"1/4*log(2*x + 1) - 1/4*log(2*x - 1)","A",0
3038,0,0,0,0.000000," ","integrate(1/(1+4*(x^(2*n))^(1/n)),x, algorithm=""maxima"")","\int \frac{1}{4 \, {\left(x^{2 \, n}\right)}^{\left(\frac{1}{n}\right)} + 1}\,{d x}"," ",0,"integrate(1/(4*(x^(2*n))^(1/n) + 1), x)","F",0
3039,0,0,0,0.000000," ","integrate(1/(1-4*(x^(2*n))^(1/n)),x, algorithm=""maxima"")","-\int \frac{1}{4 \, {\left(x^{2 \, n}\right)}^{\left(\frac{1}{n}\right)} - 1}\,{d x}"," ",0,"-integrate(1/(4*(x^(2*n))^(1/n) - 1), x)","F",0
3040,0,0,0,0.000000," ","integrate((a+b*(c*x^n)^(3/n))^3,x, algorithm=""maxima"")","b^{3} c^{\frac{9}{n}} \int {\left(x^{n}\right)}^{\frac{9}{n}}\,{d x} + 3 \, a b^{2} c^{\frac{6}{n}} \int {\left(x^{n}\right)}^{\frac{6}{n}}\,{d x} + 3 \, a^{2} b c^{\frac{3}{n}} \int {\left(x^{n}\right)}^{\frac{3}{n}}\,{d x} + a^{3} x"," ",0,"b^3*c^(9/n)*integrate((x^n)^(9/n), x) + 3*a*b^2*c^(6/n)*integrate((x^n)^(6/n), x) + 3*a^2*b*c^(3/n)*integrate((x^n)^(3/n), x) + a^3*x","F",0
3041,0,0,0,0.000000," ","integrate((a+b*(c*x^n)^(3/n))^2,x, algorithm=""maxima"")","b^{2} c^{\frac{6}{n}} \int {\left(x^{n}\right)}^{\frac{6}{n}}\,{d x} + 2 \, a b c^{\frac{3}{n}} \int {\left(x^{n}\right)}^{\frac{3}{n}}\,{d x} + a^{2} x"," ",0,"b^2*c^(6/n)*integrate((x^n)^(6/n), x) + 2*a*b*c^(3/n)*integrate((x^n)^(3/n), x) + a^2*x","F",0
3042,0,0,0,0.000000," ","integrate(a+b*(c*x^n)^(3/n),x, algorithm=""maxima"")","b c^{\frac{3}{n}} \int {\left(x^{n}\right)}^{\frac{3}{n}}\,{d x} + a x"," ",0,"b*c^(3/n)*integrate((x^n)^(3/n), x) + a*x","F",0
3043,0,0,0,0.000000," ","integrate(1/(a+b*(c*x^n)^(3/n)),x, algorithm=""maxima"")","\int \frac{1}{\left(c x^{n}\right)^{\frac{3}{n}} b + a}\,{d x}"," ",0,"integrate(1/((c*x^n)^(3/n)*b + a), x)","F",0
3044,0,0,0,0.000000," ","integrate(1/(a+b*(c*x^n)^(3/n))^2,x, algorithm=""maxima"")","\frac{x}{3 \, {\left(a b c^{\frac{3}{n}} {\left(x^{n}\right)}^{\frac{3}{n}} + a^{2}\right)}} + 2 \, \int \frac{1}{3 \, {\left(a b c^{\frac{3}{n}} {\left(x^{n}\right)}^{\frac{3}{n}} + a^{2}\right)}}\,{d x}"," ",0,"1/3*x/(a*b*c^(3/n)*(x^n)^(3/n) + a^2) + 2*integrate(1/3/(a*b*c^(3/n)*(x^n)^(3/n) + a^2), x)","F",0
3045,0,0,0,0.000000," ","integrate(1/(a+b*(c*x^n)^(3/n))^3,x, algorithm=""maxima"")","\frac{5 \, b c^{\frac{3}{n}} x {\left(x^{n}\right)}^{\frac{3}{n}} + 8 \, a x}{18 \, {\left(a^{2} b^{2} c^{\frac{6}{n}} {\left(x^{n}\right)}^{\frac{6}{n}} + 2 \, a^{3} b c^{\frac{3}{n}} {\left(x^{n}\right)}^{\frac{3}{n}} + a^{4}\right)}} + 5 \, \int \frac{1}{9 \, {\left(a^{2} b c^{\frac{3}{n}} {\left(x^{n}\right)}^{\frac{3}{n}} + a^{3}\right)}}\,{d x}"," ",0,"1/18*(5*b*c^(3/n)*x*(x^n)^(3/n) + 8*a*x)/(a^2*b^2*c^(6/n)*(x^n)^(6/n) + 2*a^3*b*c^(3/n)*(x^n)^(3/n) + a^4) + 5*integrate(1/9/(a^2*b*c^(3/n)*(x^n)^(3/n) + a^3), x)","F",0
3046,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*(c*x^q)^n)^p,x, algorithm=""maxima"")","\int {\left(\left(c x^{q}\right)^{n} b + a\right)}^{p} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(((c*x^q)^n*b + a)^p*(d*x)^m, x)","F",0
3047,0,0,0,0.000000," ","integrate(x^2*(a+b*(c*x^q)^n)^p,x, algorithm=""maxima"")","\int {\left(\left(c x^{q}\right)^{n} b + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate(((c*x^q)^n*b + a)^p*x^2, x)","F",0
3048,0,0,0,0.000000," ","integrate(x*(a+b*(c*x^q)^n)^p,x, algorithm=""maxima"")","\int {\left(\left(c x^{q}\right)^{n} b + a\right)}^{p} x\,{d x}"," ",0,"integrate(((c*x^q)^n*b + a)^p*x, x)","F",0
3049,0,0,0,0.000000," ","integrate((a+b*(c*x^q)^n)^p,x, algorithm=""maxima"")","\int {\left(\left(c x^{q}\right)^{n} b + a\right)}^{p}\,{d x}"," ",0,"integrate(((c*x^q)^n*b + a)^p, x)","F",0
3050,0,0,0,0.000000," ","integrate((a+b*(c*x^q)^n)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(\left(c x^{q}\right)^{n} b + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate(((c*x^q)^n*b + a)^p/x, x)","F",0
3051,0,0,0,0.000000," ","integrate((a+b*(c*x^q)^n)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(\left(c x^{q}\right)^{n} b + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate(((c*x^q)^n*b + a)^p/x^2, x)","F",0
3052,0,0,0,0.000000," ","integrate(x^m*(a+c/x+b*(d/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}} x^{m}\,{d x}"," ",0,"integrate(sqrt(b*sqrt(d/x) + a + c/x)*x^m, x)","F",0
3053,0,0,0,0.000000," ","integrate(x^2*(a+c/x+b*(d/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}} x^{2}\,{d x}"," ",0,"integrate(sqrt(b*sqrt(d/x) + a + c/x)*x^2, x)","F",0
3054,0,0,0,0.000000," ","integrate(x*(a+c/x+b*(d/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}} x\,{d x}"," ",0,"integrate(sqrt(b*sqrt(d/x) + a + c/x)*x, x)","F",0
3055,0,0,0,0.000000," ","integrate((a+c/x+b*(d/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}}\,{d x}"," ",0,"integrate(sqrt(b*sqrt(d/x) + a + c/x), x)","F",0
3056,0,0,0,0.000000," ","integrate((a+c/x+b*(d/x)^(1/2))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}}}{x}\,{d x}"," ",0,"integrate(sqrt(b*sqrt(d/x) + a + c/x)/x, x)","F",0
3057,0,0,0,0.000000," ","integrate((a+c/x+b*(d/x)^(1/2))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(b*sqrt(d/x) + a + c/x)/x^2, x)","F",0
3058,0,0,0,0.000000," ","integrate((a+c/x+b*(d/x)^(1/2))^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(b*sqrt(d/x) + a + c/x)/x^3, x)","F",0
3059,0,0,0,0.000000," ","integrate((a+c/x+b*(d/x)^(1/2))^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(b*sqrt(d/x) + a + c/x)/x^4, x)","F",0
3060,0,0,0,0.000000," ","integrate(x^m/(a+c/x+b*(d/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{m}}{\sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}}}\,{d x}"," ",0,"integrate(x^m/sqrt(b*sqrt(d/x) + a + c/x), x)","F",0
3061,0,0,0,0.000000," ","integrate(x^2/(a+c/x+b*(d/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}}}\,{d x}"," ",0,"integrate(x^2/sqrt(b*sqrt(d/x) + a + c/x), x)","F",0
3062,0,0,0,0.000000," ","integrate(x/(a+c/x+b*(d/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}}}\,{d x}"," ",0,"integrate(x/sqrt(b*sqrt(d/x) + a + c/x), x)","F",0
3063,0,0,0,0.000000," ","integrate(1/(a+c/x+b*(d/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}}}\,{d x}"," ",0,"integrate(1/sqrt(b*sqrt(d/x) + a + c/x), x)","F",0
3064,0,0,0,0.000000," ","integrate(1/x/(a+c/x+b*(d/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}} x}\,{d x}"," ",0,"integrate(1/(sqrt(b*sqrt(d/x) + a + c/x)*x), x)","F",0
3065,0,0,0,0.000000," ","integrate(1/x^2/(a+c/x+b*(d/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(b*sqrt(d/x) + a + c/x)*x^2), x)","F",0
3066,0,0,0,0.000000," ","integrate(1/x^3/(a+c/x+b*(d/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(b*sqrt(d/x) + a + c/x)*x^3), x)","F",0
3067,0,0,0,0.000000," ","integrate(1/x^4/(a+c/x+b*(d/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \sqrt{\frac{d}{x}} + a + \frac{c}{x}} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(b*sqrt(d/x) + a + c/x)*x^4), x)","F",0
3068,0,0,0,0.000000," ","integrate((1/x+(1/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\frac{1}{\sqrt{x}} + \frac{1}{x}}\,{d x}"," ",0,"integrate(sqrt(1/sqrt(x) + 1/x), x)","F",0
3069,0,0,0,0.000000," ","integrate((2+1/x+(1/x)^(1/2))^(1/2),x, algorithm=""maxima"")","\int \sqrt{\frac{1}{\sqrt{x}} + \frac{1}{x} + 2}\,{d x}"," ",0,"integrate(sqrt(1/sqrt(x) + 1/x + 2), x)","F",0
3070,0,0,0,0.000000," ","integrate((c*x^n)^(1/n)*(a+b*(c*x^n)^(1/n))^p,x, algorithm=""maxima"")","\int {\left(\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a\right)}^{p} \left(c x^{n}\right)^{\left(\frac{1}{n}\right)}\,{d x}"," ",0,"integrate(((c*x^n)^(1/n)*b + a)^p*(c*x^n)^(1/n), x)","F",0
3071,0,0,0,0.000000," ","integrate((c*x^n)^(1/n)*(a+b*(c*x^n)^(1/n))^3,x, algorithm=""maxima"")","\int {\left(\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a\right)}^{3} \left(c x^{n}\right)^{\left(\frac{1}{n}\right)}\,{d x}"," ",0,"integrate(((c*x^n)^(1/n)*b + a)^3*(c*x^n)^(1/n), x)","F",0
3072,0,0,0,0.000000," ","integrate((c*x^n)^(1/n)*(a+b*(c*x^n)^(1/n))^2,x, algorithm=""maxima"")","\int {\left(\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a\right)}^{2} \left(c x^{n}\right)^{\left(\frac{1}{n}\right)}\,{d x}"," ",0,"integrate(((c*x^n)^(1/n)*b + a)^2*(c*x^n)^(1/n), x)","F",0
3073,0,0,0,0.000000," ","integrate((c*x^n)^(1/n)*(a+b*(c*x^n)^(1/n)),x, algorithm=""maxima"")","\int {\left(\left(c x^{n}\right)^{\left(\frac{1}{n}\right)} b + a\right)} \left(c x^{n}\right)^{\left(\frac{1}{n}\right)}\,{d x}"," ",0,"integrate(((c*x^n)^(1/n)*b + a)*(c*x^n)^(1/n), x)","F",0
3074,0,0,0,0.000000," ","integrate((c*x^n)^(1/n)/(a+b*(c*x^n)^(1/n)),x, algorithm=""maxima"")","-a \int \frac{1}{b^{2} c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a b}\,{d x} + \frac{x}{b}"," ",0,"-a*integrate(1/(b^2*c^(1/n)*(x^n)^(1/n) + a*b), x) + x/b","F",0
3075,0,0,0,0.000000," ","integrate((c*x^n)^(1/n)/(a+b*(c*x^n)^(1/n))^2,x, algorithm=""maxima"")","-\frac{x}{b^{2} c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a b} + \int \frac{1}{b^{2} c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a b}\,{d x}"," ",0,"-x/(b^2*c^(1/n)*(x^n)^(1/n) + a*b) + integrate(1/(b^2*c^(1/n)*(x^n)^(1/n) + a*b), x)","F",0
3076,1,60,0,0.674657," ","integrate((c*x^n)^(1/n)/(a+b*(c*x^n)^(1/n))^3,x, algorithm=""maxima"")","\frac{c^{\left(\frac{1}{n}\right)} x {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)}}{2 \, {\left(a b^{2} c^{\frac{2}{n}} {\left(x^{n}\right)}^{\frac{2}{n}} + 2 \, a^{2} b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{3}\right)}}"," ",0,"1/2*c^(1/n)*x*(x^n)^(1/n)/(a*b^2*c^(2/n)*(x^n)^(2/n) + 2*a^2*b*c^(1/n)*(x^n)^(1/n) + a^3)","A",0
3077,1,109,0,0.783175," ","integrate((c*x^n)^(1/n)/(a+b*(c*x^n)^(1/n))^4,x, algorithm=""maxima"")","\frac{b c^{\frac{2}{n}} x {\left(x^{n}\right)}^{\frac{2}{n}} + 3 \, a c^{\left(\frac{1}{n}\right)} x {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)}}{6 \, {\left(a^{2} b^{3} c^{\frac{3}{n}} {\left(x^{n}\right)}^{\frac{3}{n}} + 3 \, a^{3} b^{2} c^{\frac{2}{n}} {\left(x^{n}\right)}^{\frac{2}{n}} + 3 \, a^{4} b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{5}\right)}}"," ",0,"1/6*(b*c^(2/n)*x*(x^n)^(2/n) + 3*a*c^(1/n)*x*(x^n)^(1/n))/(a^2*b^3*c^(3/n)*(x^n)^(3/n) + 3*a^3*b^2*c^(2/n)*(x^n)^(2/n) + 3*a^4*b*c^(1/n)*(x^n)^(1/n) + a^5)","A",0
3078,1,158,0,0.654022," ","integrate((c*x^n)^(1/n)/(a+b*(c*x^n)^(1/n))^5,x, algorithm=""maxima"")","\frac{b^{2} c^{\frac{3}{n}} x {\left(x^{n}\right)}^{\frac{3}{n}} + 4 \, a b c^{\frac{2}{n}} x {\left(x^{n}\right)}^{\frac{2}{n}} + 6 \, a^{2} c^{\left(\frac{1}{n}\right)} x {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)}}{12 \, {\left(a^{3} b^{4} c^{\frac{4}{n}} {\left(x^{n}\right)}^{\frac{4}{n}} + 4 \, a^{4} b^{3} c^{\frac{3}{n}} {\left(x^{n}\right)}^{\frac{3}{n}} + 6 \, a^{5} b^{2} c^{\frac{2}{n}} {\left(x^{n}\right)}^{\frac{2}{n}} + 4 \, a^{6} b c^{\left(\frac{1}{n}\right)} {\left(x^{n}\right)}^{\left(\frac{1}{n}\right)} + a^{7}\right)}}"," ",0,"1/12*(b^2*c^(3/n)*x*(x^n)^(3/n) + 4*a*b*c^(2/n)*x*(x^n)^(2/n) + 6*a^2*c^(1/n)*x*(x^n)^(1/n))/(a^3*b^4*c^(4/n)*(x^n)^(4/n) + 4*a^4*b^3*c^(3/n)*(x^n)^(3/n) + 6*a^5*b^2*c^(2/n)*(x^n)^(2/n) + 4*a^6*b*c^(1/n)*(x^n)^(1/n) + a^7)","B",0
