1,1,46,0,0.442639," ","integrate((b*x^6+a*x^3)^(5/3),x, algorithm=""maxima"")","\frac{{\left(8 \, b^{3} x^{9} + 13 \, a b^{2} x^{6} + 2 \, a^{2} b x^{3} - 3 \, a^{3}\right)} {\left(b x^{3} + a\right)}^{\frac{2}{3}}}{88 \, b^{2}}"," ",0,"1/88*(8*b^3*x^9 + 13*a*b^2*x^6 + 2*a^2*b*x^3 - 3*a^3)*(b*x^3 + a)^(2/3)/b^2","A",0
2,1,14,0,0.457572," ","integrate((b*x^6+a*x^3)^(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
3,1,17,0,0.449082," ","integrate(1/(b*x^6+a*x^3)^(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
4,1,38,0,0.465155," ","integrate(1/(b*x^6+a*x^3)^(5/3),x, algorithm=""maxima"")","\frac{9 \, b^{2} x^{6} + 6 \, a b x^{3} - a^{2}}{4 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} a^{3} x^{4}}"," ",0,"1/4*(9*b^2*x^6 + 6*a*b*x^3 - a^2)/((b*x^3 + a)^(2/3)*a^3*x^4)","A",0
5,1,37,0,0.946234," ","integrate(1/(x^6-x^3),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{2 \, x^{2}} - \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)) + 1/2/x^2 - 1/6*log(x^2 + x + 1) + 1/3*log(x - 1)","A",0
6,1,83,0,0.489714," ","integrate(x^5*((b*x^3+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a x^{3}}{6 \, b} - \frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a^{2}}{6 \, b^{2}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}}}{9 \, b^{2}}"," ",0,"-1/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a*x^3/b - 1/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a^2/b^2 + 1/9*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)/b^2","A",0
7,1,13,0,0.465913," ","integrate(x^4*((b*x^3+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{8} \, b x^{8} + \frac{1}{5} \, a x^{5}"," ",0,"1/8*b*x^8 + 1/5*a*x^5","A",0
8,1,13,0,0.462684," ","integrate(x^3*((b*x^3+a)^2)^(1/2),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
9,1,52,0,0.462174," ","integrate(x^2*((b*x^3+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} x^{3} + \frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a}{6 \, b}"," ",0,"1/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*x^3 + 1/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a/b","B",0
10,1,13,0,0.450743," ","integrate(x*((b*x^3+a)^2)^(1/2),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
11,1,10,0,0.439668," ","integrate(((b*x^3+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, b x^{4} + a x"," ",0,"1/4*b*x^4 + a*x","A",0
12,1,96,0,0.461740," ","integrate(((b*x^3+a)^2)^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{3} \, \left(-1\right)^{2 \, b^{2} x^{3} + 2 \, a b} a \log\left(2 \, b^{2} x^{3} + 2 \, a b\right) - \frac{1}{3} \, \left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} a \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right) + \frac{1}{3} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}}"," ",0,"1/3*(-1)^(2*b^2*x^3 + 2*a*b)*a*log(2*b^2*x^3 + 2*a*b) - 1/3*(-1)^(2*a*b*x^3 + 2*a^2)*a*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x))) + 1/3*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)","A",0
13,1,14,0,0.462934," ","integrate(((b*x^3+a)^2)^(1/2)/x^2,x, algorithm=""maxima"")","\frac{b x^{3} - 2 \, a}{2 \, x}"," ",0,"1/2*(b*x^3 - 2*a)/x","A",0
14,1,15,0,0.455706," ","integrate(((b*x^3+a)^2)^(1/2)/x^3,x, algorithm=""maxima"")","\frac{2 \, b x^{3} - a}{2 \, x^{2}}"," ",0,"1/2*(2*b*x^3 - a)/x^2","A",0
15,1,99,0,0.464819," ","integrate(((b*x^3+a)^2)^(1/2)/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, \left(-1\right)^{2 \, b^{2} x^{3} + 2 \, a b} b \log\left(2 \, b^{2} x^{3} + 2 \, a b\right) - \frac{1}{3} \, \left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right) - \frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}}}{3 \, x^{3}}"," ",0,"1/3*(-1)^(2*b^2*x^3 + 2*a*b)*b*log(2*b^2*x^3 + 2*a*b) - 1/3*(-1)^(2*a*b*x^3 + 2*a^2)*b*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x))) - 1/3*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)/x^3","A",0
16,1,13,0,0.453862," ","integrate(((b*x^3+a)^2)^(1/2)/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
17,1,15,0,0.455764," ","integrate(((b*x^3+a)^2)^(1/2)/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
18,1,86,0,0.488276," ","integrate(((b*x^3+a)^2)^(1/2)/x^7,x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b^{2}}{6 \, a^{2}} + \frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b}{6 \, a x^{3}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}}}{6 \, a^{2} x^{6}}"," ",0,"1/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b^2/a^2 + 1/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b/(a*x^3) - 1/6*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)/(a^2*x^6)","A",0
19,1,15,0,0.456547," ","integrate(((b*x^3+a)^2)^(1/2)/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
20,1,15,0,0.453304," ","integrate(((b*x^3+a)^2)^(1/2)/x^9,x, algorithm=""maxima"")","-\frac{8 \, b x^{3} + 5 \, a}{40 \, x^{8}}"," ",0,"-1/40*(8*b*x^3 + 5*a)/x^8","A",0
21,1,117,0,0.472893," ","integrate(((b*x^3+a)^2)^(1/2)/x^10,x, algorithm=""maxima"")","-\frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b^{3}}{6 \, a^{3}} - \frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b^{2}}{6 \, a^{2} x^{3}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b}{6 \, a^{3} x^{6}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}}}{9 \, a^{2} x^{9}}"," ",0,"-1/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b^3/a^3 - 1/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b^2/(a^2*x^3) + 1/6*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b/(a^3*x^6) - 1/9*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)/(a^2*x^9)","B",0
22,1,15,0,0.451584," ","integrate(((b*x^3+a)^2)^(1/2)/x^11,x, algorithm=""maxima"")","-\frac{10 \, b x^{3} + 7 \, a}{70 \, x^{10}}"," ",0,"-1/70*(10*b*x^3 + 7*a)/x^10","A",0
23,1,35,0,0.471931," ","integrate(x^9*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{19} \, b^{3} x^{19} + \frac{3}{16} \, a b^{2} x^{16} + \frac{3}{13} \, a^{2} b x^{13} + \frac{1}{10} \, a^{3} x^{10}"," ",0,"1/19*b^3*x^19 + 3/16*a*b^2*x^16 + 3/13*a^2*b*x^13 + 1/10*a^3*x^10","A",0
24,1,114,0,0.463269," ","integrate(x^8*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} a^{2} x^{3}}{12 \, b^{2}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} x^{3}}{18 \, b^{2}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} a^{3}}{12 \, b^{3}} - \frac{7 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} a}{90 \, b^{3}}"," ",0,"1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*a^2*x^3/b^2 + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*x^3/b^2 + 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*a^3/b^3 - 7/90*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*a/b^3","A",0
25,1,35,0,0.447628," ","integrate(x^7*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{17} \, b^{3} x^{17} + \frac{3}{14} \, a b^{2} x^{14} + \frac{3}{11} \, a^{2} b x^{11} + \frac{1}{8} \, a^{3} x^{8}"," ",0,"1/17*b^3*x^17 + 3/14*a*b^2*x^14 + 3/11*a^2*b*x^11 + 1/8*a^3*x^8","A",0
26,1,35,0,0.452431," ","integrate(x^6*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{16} \, b^{3} x^{16} + \frac{3}{13} \, a b^{2} x^{13} + \frac{3}{10} \, a^{2} b x^{10} + \frac{1}{7} \, a^{3} x^{7}"," ",0,"1/16*b^3*x^16 + 3/13*a*b^2*x^13 + 3/10*a^2*b*x^10 + 1/7*a^3*x^7","A",0
27,1,83,0,0.486545," ","integrate(x^5*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} a x^{3}}{12 \, b} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} a^{2}}{12 \, b^{2}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}}}{15 \, b^{2}}"," ",0,"-1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*a*x^3/b - 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*a^2/b^2 + 1/15*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)/b^2","A",0
28,1,35,0,0.468772," ","integrate(x^4*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),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
29,1,35,0,0.479697," ","integrate(x^3*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),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
30,1,52,0,0.452971," ","integrate(x^2*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{12} \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} x^{3} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} a}{12 \, b}"," ",0,"1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*x^3 + 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*a/b","A",0
31,1,35,0,0.443116," ","integrate(x*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),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
32,1,32,0,0.714560," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2),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
33,1,152,0,0.516732," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x,x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a b x^{3} + \frac{1}{3} \, \left(-1\right)^{2 \, b^{2} x^{3} + 2 \, a b} a^{3} \log\left(2 \, b^{2} x^{3} + 2 \, a b\right) - \frac{1}{3} \, \left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} a^{3} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right) + \frac{1}{2} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a^{2} + \frac{1}{9} \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}}"," ",0,"1/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a*b*x^3 + 1/3*(-1)^(2*b^2*x^3 + 2*a*b)*a^3*log(2*b^2*x^3 + 2*a*b) - 1/3*(-1)^(2*a*b*x^3 + 2*a^2)*a^3*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x))) + 1/2*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a^2 + 1/9*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)","A",0
34,1,37,0,0.495565," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^2,x, algorithm=""maxima"")","\frac{5 \, b^{3} x^{9} + 24 \, a b^{2} x^{6} + 60 \, a^{2} b x^{3} - 40 \, a^{3}}{40 \, x}"," ",0,"1/40*(5*b^3*x^9 + 24*a*b^2*x^6 + 60*a^2*b*x^3 - 40*a^3)/x","A",0
35,1,37,0,0.497501," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^3,x, algorithm=""maxima"")","\frac{4 \, b^{3} x^{9} + 21 \, a b^{2} x^{6} + 84 \, a^{2} b x^{3} - 14 \, a^{3}}{28 \, x^{2}}"," ",0,"1/28*(4*b^3*x^9 + 21*a*b^2*x^6 + 84*a^2*b*x^3 - 14*a^3)/x^2","A",0
36,1,156,0,0.527622," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^4,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b^{2} x^{3} + \left(-1\right)^{2 \, b^{2} x^{3} + 2 \, a b} a^{2} b \log\left(2 \, b^{2} x^{3} + 2 \, a b\right) - \left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} a^{2} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right) + \frac{3}{2} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a b - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}}}{3 \, x^{3}}"," ",0,"1/2*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b^2*x^3 + (-1)^(2*b^2*x^3 + 2*a*b)*a^2*b*log(2*b^2*x^3 + 2*a*b) - (-1)^(2*a*b*x^3 + 2*a^2)*a^2*b*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x))) + 3/2*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a*b - 1/3*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)/x^3","A",0
37,1,37,0,0.525367," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^5,x, algorithm=""maxima"")","\frac{4 \, b^{3} x^{9} + 30 \, a b^{2} x^{6} - 60 \, a^{2} b x^{3} - 5 \, a^{3}}{20 \, x^{4}}"," ",0,"1/20*(4*b^3*x^9 + 30*a*b^2*x^6 - 60*a^2*b*x^3 - 5*a^3)/x^4","A",0
38,1,37,0,0.496686," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^6,x, algorithm=""maxima"")","\frac{5 \, b^{3} x^{9} + 60 \, a b^{2} x^{6} - 30 \, a^{2} b x^{3} - 4 \, a^{3}}{20 \, x^{5}}"," ",0,"1/20*(5*b^3*x^9 + 60*a*b^2*x^6 - 30*a^2*b*x^3 - 4*a^3)/x^5","A",0
39,1,220,0,0.699670," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^7,x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b^{3} x^{3}}{2 \, a} + \left(-1\right)^{2 \, b^{2} x^{3} + 2 \, a b} a b^{2} \log\left(2 \, b^{2} x^{3} + 2 \, a b\right) - \left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} a b^{2} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right) + \frac{3}{2} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b^{2} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{2}}{6 \, a^{2}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b}{6 \, a x^{3}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}}}{6 \, a^{2} x^{6}}"," ",0,"1/2*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b^3*x^3/a + (-1)^(2*b^2*x^3 + 2*a*b)*a*b^2*log(2*b^2*x^3 + 2*a*b) - (-1)^(2*a*b*x^3 + 2*a^2)*a*b^2*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x))) + 3/2*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b^2 + 1/6*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^2/a^2 - 1/6*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b/(a*x^3) - 1/6*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)/(a^2*x^6)","A",0
40,1,37,0,0.738133," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^8,x, algorithm=""maxima"")","\frac{14 \, b^{3} x^{9} - 84 \, a b^{2} x^{6} - 21 \, a^{2} b x^{3} - 4 \, a^{3}}{28 \, x^{7}}"," ",0,"1/28*(14*b^3*x^9 - 84*a*b^2*x^6 - 21*a^2*b*x^3 - 4*a^3)/x^7","A",0
41,1,37,0,0.676634," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^9,x, algorithm=""maxima"")","\frac{40 \, b^{3} x^{9} - 60 \, a b^{2} x^{6} - 24 \, a^{2} b x^{3} - 5 \, a^{3}}{40 \, x^{8}}"," ",0,"1/40*(40*b^3*x^9 - 60*a*b^2*x^6 - 24*a^2*b*x^3 - 5*a^3)/x^8","A",0
42,1,253,0,0.723871," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^10,x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b^{4} x^{3}}{6 \, a^{2}} + \frac{1}{3} \, \left(-1\right)^{2 \, b^{2} x^{3} + 2 \, a b} b^{3} \log\left(2 \, b^{2} x^{3} + 2 \, a b\right) - \frac{1}{3} \, \left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} b^{3} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right) + \frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b^{3}}{2 \, a} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{3}}{18 \, a^{3}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{2}}{6 \, a^{2} x^{3}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b}{18 \, a^{3} x^{6}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}}}{9 \, a^{2} x^{9}}"," ",0,"1/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b^4*x^3/a^2 + 1/3*(-1)^(2*b^2*x^3 + 2*a*b)*b^3*log(2*b^2*x^3 + 2*a*b) - 1/3*(-1)^(2*a*b*x^3 + 2*a^2)*b^3*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x))) + 1/2*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b^3/a - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^3/a^3 - 1/6*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^2/(a^2*x^3) + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b/(a^3*x^6) - 1/9*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)/(a^2*x^9)","B",0
43,1,37,0,0.664710," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^11,x, algorithm=""maxima"")","-\frac{140 \, b^{3} x^{9} + 105 \, a b^{2} x^{6} + 60 \, a^{2} b x^{3} + 14 \, a^{3}}{140 \, x^{10}}"," ",0,"-1/140*(140*b^3*x^9 + 105*a*b^2*x^6 + 60*a^2*b*x^3 + 14*a^3)/x^10","A",0
44,1,37,0,0.718123," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^12,x, algorithm=""maxima"")","-\frac{220 \, b^{3} x^{9} + 264 \, a b^{2} x^{6} + 165 \, a^{2} b x^{3} + 40 \, a^{3}}{440 \, x^{11}}"," ",0,"-1/440*(220*b^3*x^9 + 264*a*b^2*x^6 + 165*a^2*b*x^3 + 40*a^3)/x^11","A",0
45,1,148,0,0.546236," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^13,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{4}}{12 \, a^{4}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{3}}{12 \, a^{3} x^{3}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{2}}{12 \, a^{4} x^{6}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b}{12 \, a^{3} x^{9}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}}}{12 \, a^{2} x^{12}}"," ",0,"1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^4/a^4 + 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^3/(a^3*x^3) - 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^2/(a^4*x^6) + 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b/(a^3*x^9) - 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)/(a^2*x^12)","B",0
46,1,37,0,0.688873," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^14,x, algorithm=""maxima"")","-\frac{455 \, b^{3} x^{9} + 780 \, a b^{2} x^{6} + 546 \, a^{2} b x^{3} + 140 \, a^{3}}{1820 \, x^{13}}"," ",0,"-1/1820*(455*b^3*x^9 + 780*a*b^2*x^6 + 546*a^2*b*x^3 + 140*a^3)/x^13","A",0
47,1,37,0,0.686098," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^15,x, algorithm=""maxima"")","-\frac{616 \, b^{3} x^{9} + 1155 \, a b^{2} x^{6} + 840 \, a^{2} b x^{3} + 220 \, a^{3}}{3080 \, x^{14}}"," ",0,"-1/3080*(616*b^3*x^9 + 1155*a*b^2*x^6 + 840*a^2*b*x^3 + 220*a^3)/x^14","A",0
48,1,179,0,0.521905," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^16,x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{5}}{12 \, a^{5}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{4}}{12 \, a^{4} x^{3}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{3}}{12 \, a^{5} x^{6}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{2}}{12 \, a^{4} x^{9}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b}{12 \, a^{3} x^{12}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}}}{15 \, a^{2} x^{15}}"," ",0,"-1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^5/a^5 - 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^4/(a^4*x^3) + 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^3/(a^5*x^6) - 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^2/(a^4*x^9) + 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b/(a^3*x^12) - 1/15*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)/(a^2*x^15)","B",0
49,1,37,0,0.765592," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(3/2)/x^17,x, algorithm=""maxima"")","-\frac{1040 \, b^{3} x^{9} + 2184 \, a b^{2} x^{6} + 1680 \, a^{2} b x^{3} + 455 \, a^{3}}{7280 \, x^{16}}"," ",0,"-1/7280*(1040*b^3*x^9 + 2184*a*b^2*x^6 + 1680*a^2*b*x^3 + 455*a^3)/x^16","A",0
50,1,57,0,0.829571," ","integrate(x^13*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{29} \, b^{5} x^{29} + \frac{5}{26} \, a b^{4} x^{26} + \frac{10}{23} \, a^{2} b^{3} x^{23} + \frac{1}{2} \, a^{3} b^{2} x^{20} + \frac{5}{17} \, a^{4} b x^{17} + \frac{1}{14} \, a^{5} x^{14}"," ",0,"1/29*b^5*x^29 + 5/26*a*b^4*x^26 + 10/23*a^2*b^3*x^23 + 1/2*a^3*b^2*x^20 + 5/17*a^4*b*x^17 + 1/14*a^5*x^14","A",0
51,1,57,0,0.603422," ","integrate(x^12*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{28} \, b^{5} x^{28} + \frac{1}{5} \, a b^{4} x^{25} + \frac{5}{11} \, a^{2} b^{3} x^{22} + \frac{10}{19} \, a^{3} b^{2} x^{19} + \frac{5}{16} \, a^{4} b x^{16} + \frac{1}{13} \, a^{5} x^{13}"," ",0,"1/28*b^5*x^28 + 1/5*a*b^4*x^25 + 5/11*a^2*b^3*x^22 + 10/19*a^3*b^2*x^19 + 5/16*a^4*b*x^16 + 1/13*a^5*x^13","A",0
52,1,145,0,0.724992," ","integrate(x^11*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} x^{6}}{27 \, b^{2}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} a^{3} x^{3}}{18 \, b^{3}} - \frac{11 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} a x^{3}}{216 \, b^{3}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} a^{4}}{18 \, b^{4}} + \frac{83 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} a^{2}}{1512 \, b^{4}}"," ",0,"1/27*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*x^6/b^2 - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*a^3*x^3/b^3 - 11/216*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*a*x^3/b^3 - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*a^4/b^4 + 83/1512*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*a^2/b^4","A",0
53,1,57,0,0.805408," ","integrate(x^10*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{26} \, b^{5} x^{26} + \frac{5}{23} \, a b^{4} x^{23} + \frac{1}{2} \, a^{2} b^{3} x^{20} + \frac{10}{17} \, a^{3} b^{2} x^{17} + \frac{5}{14} \, a^{4} b x^{14} + \frac{1}{11} \, a^{5} x^{11}"," ",0,"1/26*b^5*x^26 + 5/23*a*b^4*x^23 + 1/2*a^2*b^3*x^20 + 10/17*a^3*b^2*x^17 + 5/14*a^4*b*x^14 + 1/11*a^5*x^11","A",0
54,1,57,0,0.674200," ","integrate(x^9*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{25} \, b^{5} x^{25} + \frac{5}{22} \, a b^{4} x^{22} + \frac{10}{19} \, a^{2} b^{3} x^{19} + \frac{5}{8} \, a^{3} b^{2} x^{16} + \frac{5}{13} \, a^{4} b x^{13} + \frac{1}{10} \, a^{5} x^{10}"," ",0,"1/25*b^5*x^25 + 5/22*a*b^4*x^22 + 10/19*a^2*b^3*x^19 + 5/8*a^3*b^2*x^16 + 5/13*a^4*b*x^13 + 1/10*a^5*x^10","A",0
55,1,114,0,0.666425," ","integrate(x^8*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} a^{2} x^{3}}{18 \, b^{2}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} x^{3}}{24 \, b^{2}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} a^{3}}{18 \, b^{3}} - \frac{3 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} a}{56 \, b^{3}}"," ",0,"1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*a^2*x^3/b^2 + 1/24*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*x^3/b^2 + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*a^3/b^3 - 3/56*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*a/b^3","A",0
56,1,57,0,0.774032," ","integrate(x^7*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{23} \, b^{5} x^{23} + \frac{1}{4} \, a b^{4} x^{20} + \frac{10}{17} \, a^{2} b^{3} x^{17} + \frac{5}{7} \, a^{3} b^{2} x^{14} + \frac{5}{11} \, a^{4} b x^{11} + \frac{1}{8} \, a^{5} x^{8}"," ",0,"1/23*b^5*x^23 + 1/4*a*b^4*x^20 + 10/17*a^2*b^3*x^17 + 5/7*a^3*b^2*x^14 + 5/11*a^4*b*x^11 + 1/8*a^5*x^8","A",0
57,1,57,0,0.713729," ","integrate(x^6*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{22} \, b^{5} x^{22} + \frac{5}{19} \, a b^{4} x^{19} + \frac{5}{8} \, a^{2} b^{3} x^{16} + \frac{10}{13} \, a^{3} b^{2} x^{13} + \frac{1}{2} \, a^{4} b x^{10} + \frac{1}{7} \, a^{5} x^{7}"," ",0,"1/22*b^5*x^22 + 5/19*a*b^4*x^19 + 5/8*a^2*b^3*x^16 + 10/13*a^3*b^2*x^13 + 1/2*a^4*b*x^10 + 1/7*a^5*x^7","A",0
58,1,83,0,0.625426," ","integrate(x^5*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} a x^{3}}{18 \, b} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} a^{2}}{18 \, b^{2}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}}}{21 \, b^{2}}"," ",0,"-1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*a*x^3/b - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*a^2/b^2 + 1/21*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)/b^2","A",0
59,1,57,0,0.691172," ","integrate(x^4*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),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
60,1,56,0,0.511479," ","integrate(x^3*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),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
61,1,52,0,0.659990," ","integrate(x^2*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{18} \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} x^{3} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} a}{18 \, b}"," ",0,"1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*x^3 + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*a/b","A",0
62,1,56,0,1.101446," ","integrate(x*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),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
63,1,53,0,1.016380," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2),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
64,1,206,0,1.156384," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x,x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a^{3} b x^{3} + \frac{1}{3} \, \left(-1\right)^{2 \, b^{2} x^{3} + 2 \, a b} a^{5} \log\left(2 \, b^{2} x^{3} + 2 \, a b\right) - \frac{1}{3} \, \left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} a^{5} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right) + \frac{1}{12} \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} a b x^{3} + \frac{1}{2} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a^{4} + \frac{7}{36} \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} a^{2} + \frac{1}{15} \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}}"," ",0,"1/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a^3*b*x^3 + 1/3*(-1)^(2*b^2*x^3 + 2*a*b)*a^5*log(2*b^2*x^3 + 2*a*b) - 1/3*(-1)^(2*a*b*x^3 + 2*a^2)*a^5*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x))) + 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*a*b*x^3 + 1/2*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a^4 + 7/36*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*a^2 + 1/15*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)","A",0
65,1,59,0,0.820400," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^2,x, algorithm=""maxima"")","\frac{22 \, b^{5} x^{15} + 140 \, a b^{4} x^{12} + 385 \, a^{2} b^{3} x^{9} + 616 \, a^{3} b^{2} x^{6} + 770 \, a^{4} b x^{3} - 308 \, a^{5}}{308 \, x}"," ",0,"1/308*(22*b^5*x^15 + 140*a*b^4*x^12 + 385*a^2*b^3*x^9 + 616*a^3*b^2*x^6 + 770*a^4*b*x^3 - 308*a^5)/x","A",0
66,1,59,0,1.230520," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^3,x, algorithm=""maxima"")","\frac{14 \, b^{5} x^{15} + 91 \, a b^{4} x^{12} + 260 \, a^{2} b^{3} x^{9} + 455 \, a^{3} b^{2} x^{6} + 910 \, a^{4} b x^{3} - 91 \, a^{5}}{182 \, x^{2}}"," ",0,"1/182*(14*b^5*x^15 + 91*a*b^4*x^12 + 260*a^2*b^3*x^9 + 455*a^3*b^2*x^6 + 910*a^4*b*x^3 - 91*a^5)/x^2","A",0
67,1,214,0,1.196416," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^4,x, algorithm=""maxima"")","\frac{5}{6} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a^{2} b^{2} x^{3} + \frac{5}{3} \, \left(-1\right)^{2 \, b^{2} x^{3} + 2 \, a b} a^{4} b \log\left(2 \, b^{2} x^{3} + 2 \, a b\right) - \frac{5}{3} \, \left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} a^{4} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right) + \frac{5}{12} \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{2} x^{3} + \frac{5}{2} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a^{3} b + \frac{35}{36} \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} a b - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}}}{3 \, x^{3}}"," ",0,"5/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a^2*b^2*x^3 + 5/3*(-1)^(2*b^2*x^3 + 2*a*b)*a^4*b*log(2*b^2*x^3 + 2*a*b) - 5/3*(-1)^(2*a*b*x^3 + 2*a^2)*a^4*b*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x))) + 5/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^2*x^3 + 5/2*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a^3*b + 35/36*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*a*b - 1/3*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)/x^3","A",0
68,1,59,0,0.972283," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^5,x, algorithm=""maxima"")","\frac{8 \, b^{5} x^{15} + 55 \, a b^{4} x^{12} + 176 \, a^{2} b^{3} x^{9} + 440 \, a^{3} b^{2} x^{6} - 440 \, a^{4} b x^{3} - 22 \, a^{5}}{88 \, x^{4}}"," ",0,"1/88*(8*b^5*x^15 + 55*a*b^4*x^12 + 176*a^2*b^3*x^9 + 440*a^3*b^2*x^6 - 440*a^4*b*x^3 - 22*a^5)/x^4","A",0
69,1,59,0,0.671736," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^6,x, algorithm=""maxima"")","\frac{7 \, b^{5} x^{15} + 50 \, a b^{4} x^{12} + 175 \, a^{2} b^{3} x^{9} + 700 \, a^{3} b^{2} x^{6} - 175 \, a^{4} b x^{3} - 14 \, a^{5}}{70 \, x^{5}}"," ",0,"1/70*(7*b^5*x^15 + 50*a*b^4*x^12 + 175*a^2*b^3*x^9 + 700*a^3*b^2*x^6 - 175*a^4*b*x^3 - 14*a^5)/x^5","A",0
70,1,282,0,1.244627," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^7,x, algorithm=""maxima"")","\frac{5}{3} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a b^{3} x^{3} + \frac{10}{3} \, \left(-1\right)^{2 \, b^{2} x^{3} + 2 \, a b} a^{3} b^{2} \log\left(2 \, b^{2} x^{3} + 2 \, a b\right) - \frac{10}{3} \, \left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} a^{3} b^{2} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right) + \frac{5 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{3} x^{3}}{6 \, a} + 5 \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a^{2} b^{2} + \frac{35}{18} \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{2} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{2}}{6 \, a^{2}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b}{2 \, a x^{3}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}}}{6 \, a^{2} x^{6}}"," ",0,"5/3*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a*b^3*x^3 + 10/3*(-1)^(2*b^2*x^3 + 2*a*b)*a^3*b^2*log(2*b^2*x^3 + 2*a*b) - 10/3*(-1)^(2*a*b*x^3 + 2*a^2)*a^3*b^2*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x))) + 5/6*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^3*x^3/a + 5*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a^2*b^2 + 35/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^2 + 1/6*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^2/a^2 - 1/2*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b/(a*x^3) - 1/6*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)/(a^2*x^6)","A",0
71,1,59,0,1.099487," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^8,x, algorithm=""maxima"")","\frac{7 \, b^{5} x^{15} + 56 \, a b^{4} x^{12} + 280 \, a^{2} b^{3} x^{9} - 560 \, a^{3} b^{2} x^{6} - 70 \, a^{4} b x^{3} - 8 \, a^{5}}{56 \, x^{7}}"," ",0,"1/56*(7*b^5*x^15 + 56*a*b^4*x^12 + 280*a^2*b^3*x^9 - 560*a^3*b^2*x^6 - 70*a^4*b*x^3 - 8*a^5)/x^7","A",0
72,1,59,0,1.325678," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^9,x, algorithm=""maxima"")","\frac{8 \, b^{5} x^{15} + 70 \, a b^{4} x^{12} + 560 \, a^{2} b^{3} x^{9} - 280 \, a^{3} b^{2} x^{6} - 56 \, a^{4} b x^{3} - 7 \, a^{5}}{56 \, x^{8}}"," ",0,"1/56*(8*b^5*x^15 + 70*a*b^4*x^12 + 560*a^2*b^3*x^9 - 280*a^3*b^2*x^6 - 56*a^4*b*x^3 - 7*a^5)/x^8","A",0
73,1,313,0,0.797466," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^10,x, algorithm=""maxima"")","\frac{5}{3} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b^{4} x^{3} + \frac{10}{3} \, \left(-1\right)^{2 \, b^{2} x^{3} + 2 \, a b} a^{2} b^{3} \log\left(2 \, b^{2} x^{3} + 2 \, a b\right) - \frac{10}{3} \, \left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} a^{2} b^{3} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right) + \frac{5 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{4} x^{3}}{6 \, a^{2}} + 5 \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a b^{3} + \frac{35 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{3}}{18 \, a} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{3}}{18 \, a^{3}} - \frac{11 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{2}}{18 \, a^{2} x^{3}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b}{18 \, a^{3} x^{6}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}}}{9 \, a^{2} x^{9}}"," ",0,"5/3*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b^4*x^3 + 10/3*(-1)^(2*b^2*x^3 + 2*a*b)*a^2*b^3*log(2*b^2*x^3 + 2*a*b) - 10/3*(-1)^(2*a*b*x^3 + 2*a^2)*a^2*b^3*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x))) + 5/6*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^4*x^3/a^2 + 5*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a*b^3 + 35/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^3/a + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^3/a^3 - 11/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^2/(a^2*x^3) - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b/(a^3*x^6) - 1/9*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)/(a^2*x^9)","A",0
74,1,59,0,1.012797," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^11,x, algorithm=""maxima"")","\frac{14 \, b^{5} x^{15} + 175 \, a b^{4} x^{12} - 700 \, a^{2} b^{3} x^{9} - 175 \, a^{3} b^{2} x^{6} - 50 \, a^{4} b x^{3} - 7 \, a^{5}}{70 \, x^{10}}"," ",0,"1/70*(14*b^5*x^15 + 175*a*b^4*x^12 - 700*a^2*b^3*x^9 - 175*a^3*b^2*x^6 - 50*a^4*b*x^3 - 7*a^5)/x^10","A",0
75,1,59,0,0.973813," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^12,x, algorithm=""maxima"")","\frac{22 \, b^{5} x^{15} + 440 \, a b^{4} x^{12} - 440 \, a^{2} b^{3} x^{9} - 176 \, a^{3} b^{2} x^{6} - 55 \, a^{4} b x^{3} - 8 \, a^{5}}{88 \, x^{11}}"," ",0,"1/88*(22*b^5*x^15 + 440*a*b^4*x^12 - 440*a^2*b^3*x^9 - 176*a^3*b^2*x^6 - 55*a^4*b*x^3 - 8*a^5)/x^11","A",0
76,1,342,0,1.097164," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^13,x, algorithm=""maxima"")","\frac{5 \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b^{5} x^{3}}{6 \, a} + \frac{5}{3} \, \left(-1\right)^{2 \, b^{2} x^{3} + 2 \, a b} a b^{4} \log\left(2 \, b^{2} x^{3} + 2 \, a b\right) - \frac{5}{3} \, \left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} a b^{4} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right) + \frac{5 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{5} x^{3}}{12 \, a^{3}} + \frac{5}{2} \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b^{4} + \frac{35 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{4}}{36 \, a^{2}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{4}}{9 \, a^{4}} - \frac{2 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{3}}{9 \, a^{3} x^{3}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{2}}{9 \, a^{4} x^{6}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b}{36 \, a^{3} x^{9}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}}}{12 \, a^{2} x^{12}}"," ",0,"5/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b^5*x^3/a + 5/3*(-1)^(2*b^2*x^3 + 2*a*b)*a*b^4*log(2*b^2*x^3 + 2*a*b) - 5/3*(-1)^(2*a*b*x^3 + 2*a^2)*a*b^4*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x))) + 5/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^5*x^3/a^3 + 5/2*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b^4 + 35/36*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^4/a^2 + 1/9*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^4/a^4 - 2/9*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^3/(a^3*x^3) - 1/9*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^2/(a^4*x^6) + 1/36*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b/(a^3*x^9) - 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)/(a^2*x^12)","A",0
77,1,59,0,0.985619," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^14,x, algorithm=""maxima"")","\frac{91 \, b^{5} x^{15} - 910 \, a b^{4} x^{12} - 455 \, a^{2} b^{3} x^{9} - 260 \, a^{3} b^{2} x^{6} - 91 \, a^{4} b x^{3} - 14 \, a^{5}}{182 \, x^{13}}"," ",0,"1/182*(91*b^5*x^15 - 910*a*b^4*x^12 - 455*a^2*b^3*x^9 - 260*a^3*b^2*x^6 - 91*a^4*b*x^3 - 14*a^5)/x^13","A",0
78,1,59,0,0.990165," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^15,x, algorithm=""maxima"")","\frac{308 \, b^{5} x^{15} - 770 \, a b^{4} x^{12} - 616 \, a^{2} b^{3} x^{9} - 385 \, a^{3} b^{2} x^{6} - 140 \, a^{4} b x^{3} - 22 \, a^{5}}{308 \, x^{14}}"," ",0,"1/308*(308*b^5*x^15 - 770*a*b^4*x^12 - 616*a^2*b^3*x^9 - 385*a^3*b^2*x^6 - 140*a^4*b*x^3 - 22*a^5)/x^14","A",0
79,1,374,0,1.096919," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^16,x, algorithm=""maxima"")","\frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b^{6} x^{3}}{6 \, a^{2}} + \frac{1}{3} \, \left(-1\right)^{2 \, b^{2} x^{3} + 2 \, a b} b^{5} \log\left(2 \, b^{2} x^{3} + 2 \, a b\right) - \frac{1}{3} \, \left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} b^{5} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right) + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{6} x^{3}}{12 \, a^{4}} + \frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} b^{5}}{2 \, a} + \frac{7 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{5}}{36 \, a^{3}} - \frac{2 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{5}}{45 \, a^{5}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{4}}{9 \, a^{4} x^{3}} + \frac{2 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{3}}{45 \, a^{5} x^{6}} - \frac{11 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{2}}{180 \, a^{4} x^{9}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b}{20 \, a^{3} x^{12}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}}}{15 \, a^{2} x^{15}}"," ",0,"1/6*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b^6*x^3/a^2 + 1/3*(-1)^(2*b^2*x^3 + 2*a*b)*b^5*log(2*b^2*x^3 + 2*a*b) - 1/3*(-1)^(2*a*b*x^3 + 2*a^2)*b^5*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x))) + 1/12*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^6*x^3/a^4 + 1/2*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*b^5/a + 7/36*(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^5/a^3 - 2/45*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^5/a^5 - 1/9*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^4/(a^4*x^3) + 2/45*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^3/(a^5*x^6) - 11/180*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^2/(a^4*x^9) + 1/20*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b/(a^3*x^12) - 1/15*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)/(a^2*x^15)","B",0
80,1,59,0,0.985493," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^17,x, algorithm=""maxima"")","-\frac{1456 \, b^{5} x^{15} + 1820 \, a b^{4} x^{12} + 2080 \, a^{2} b^{3} x^{9} + 1456 \, a^{3} b^{2} x^{6} + 560 \, a^{4} b x^{3} + 91 \, a^{5}}{1456 \, x^{16}}"," ",0,"-1/1456*(1456*b^5*x^15 + 1820*a*b^4*x^12 + 2080*a^2*b^3*x^9 + 1456*a^3*b^2*x^6 + 560*a^4*b*x^3 + 91*a^5)/x^16","A",0
81,1,59,0,1.162760," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^18,x, algorithm=""maxima"")","-\frac{2618 \, b^{5} x^{15} + 5236 \, a b^{4} x^{12} + 6545 \, a^{2} b^{3} x^{9} + 4760 \, a^{3} b^{2} x^{6} + 1870 \, a^{4} b x^{3} + 308 \, a^{5}}{5236 \, x^{17}}"," ",0,"-1/5236*(2618*b^5*x^15 + 5236*a*b^4*x^12 + 6545*a^2*b^3*x^9 + 4760*a^3*b^2*x^6 + 1870*a^4*b*x^3 + 308*a^5)/x^17","A",0
82,1,210,0,1.097173," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^19,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{6}}{18 \, a^{6}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{5}}{18 \, a^{5} x^{3}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{4}}{18 \, a^{6} x^{6}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{3}}{18 \, a^{5} x^{9}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{2}}{18 \, a^{4} x^{12}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b}{18 \, a^{3} x^{15}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}}}{18 \, a^{2} x^{18}}"," ",0,"1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^6/a^6 + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^5/(a^5*x^3) - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^4/(a^6*x^6) + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^3/(a^5*x^9) - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^2/(a^4*x^12) + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b/(a^3*x^15) - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)/(a^2*x^18)","B",0
83,1,59,0,1.044991," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^20,x, algorithm=""maxima"")","-\frac{6916 \, b^{5} x^{15} + 19760 \, a b^{4} x^{12} + 27664 \, a^{2} b^{3} x^{9} + 21280 \, a^{3} b^{2} x^{6} + 8645 \, a^{4} b x^{3} + 1456 \, a^{5}}{27664 \, x^{19}}"," ",0,"-1/27664*(6916*b^5*x^15 + 19760*a*b^4*x^12 + 27664*a^2*b^3*x^9 + 21280*a^3*b^2*x^6 + 8645*a^4*b*x^3 + 1456*a^5)/x^19","A",0
84,1,59,0,0.982615," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^21,x, algorithm=""maxima"")","-\frac{10472 \, b^{5} x^{15} + 32725 \, a b^{4} x^{12} + 47600 \, a^{2} b^{3} x^{9} + 37400 \, a^{3} b^{2} x^{6} + 15400 \, a^{4} b x^{3} + 2618 \, a^{5}}{52360 \, x^{20}}"," ",0,"-1/52360*(10472*b^5*x^15 + 32725*a*b^4*x^12 + 47600*a^2*b^3*x^9 + 37400*a^3*b^2*x^6 + 15400*a^4*b*x^3 + 2618*a^5)/x^20","A",0
85,1,241,0,1.158518," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^22,x, algorithm=""maxima"")","-\frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{7}}{18 \, a^{7}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{6}}{18 \, a^{6} x^{3}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{5}}{18 \, a^{7} x^{6}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{4}}{18 \, a^{6} x^{9}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{3}}{18 \, a^{5} x^{12}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{2}}{18 \, a^{4} x^{15}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b}{18 \, a^{3} x^{18}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}}}{21 \, a^{2} x^{21}}"," ",0,"-1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^7/a^7 - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^6/(a^6*x^3) + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^5/(a^7*x^6) - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^4/(a^6*x^9) + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^3/(a^5*x^12) - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^2/(a^4*x^15) + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b/(a^3*x^18) - 1/21*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)/(a^2*x^21)","B",0
86,1,59,0,0.983551," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^23,x, algorithm=""maxima"")","-\frac{21736 \, b^{5} x^{15} + 76076 \, a b^{4} x^{12} + 117040 \, a^{2} b^{3} x^{9} + 95095 \, a^{3} b^{2} x^{6} + 40040 \, a^{4} b x^{3} + 6916 \, a^{5}}{152152 \, x^{22}}"," ",0,"-1/152152*(21736*b^5*x^15 + 76076*a*b^4*x^12 + 117040*a^2*b^3*x^9 + 95095*a^3*b^2*x^6 + 40040*a^4*b*x^3 + 6916*a^5)/x^22","A",0
87,1,59,0,0.831879," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^24,x, algorithm=""maxima"")","-\frac{30107 \, b^{5} x^{15} + 109480 \, a b^{4} x^{12} + 172040 \, a^{2} b^{3} x^{9} + 141680 \, a^{3} b^{2} x^{6} + 60214 \, a^{4} b x^{3} + 10472 \, a^{5}}{240856 \, x^{23}}"," ",0,"-1/240856*(30107*b^5*x^15 + 109480*a*b^4*x^12 + 172040*a^2*b^3*x^9 + 141680*a^3*b^2*x^6 + 60214*a^4*b*x^3 + 10472*a^5)/x^23","A",0
88,1,272,0,1.020524," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^(5/2)/x^25,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{8}}{18 \, a^{8}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}} b^{7}}{18 \, a^{7} x^{3}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{6}}{18 \, a^{8} x^{6}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{5}}{18 \, a^{7} x^{9}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{4}}{18 \, a^{6} x^{12}} + \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{3}}{18 \, a^{5} x^{15}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b^{2}}{18 \, a^{4} x^{18}} + \frac{3 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}} b}{56 \, a^{3} x^{21}} - \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{7}{2}}}{24 \, a^{2} x^{24}}"," ",0,"1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^8/a^8 + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2)*b^7/(a^7*x^3) - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^6/(a^8*x^6) + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^5/(a^7*x^9) - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^4/(a^6*x^12) + 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^3/(a^5*x^15) - 1/18*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b^2/(a^4*x^18) + 3/56*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)*b/(a^3*x^21) - 1/24*(b^2*x^6 + 2*a*b*x^3 + a^2)^(7/2)/(a^2*x^24)","B",0
89,1,109,0,2.178468," ","integrate(x^4/((b*x^3+a)^2)^(1/2),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
90,1,106,0,1.364870," ","integrate(x^3/((b*x^3+a)^2)^(1/2),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
91,1,15,0,0.932040," ","integrate(x^2/((b*x^3+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(x^{3} + \frac{a}{b}\right)}{3 \, b}"," ",0,"1/3*log(x^3 + a/b)/b","A",0
92,1,98,0,1.277330," ","integrate(x/((b*x^3+a)^2)^(1/2),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
93,1,98,0,2.733215," ","integrate(1/((b*x^3+a)^2)^(1/2),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
94,1,43,0,1.146164," ","integrate(1/x/((b*x^3+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right)}{3 \, a}"," ",0,"-1/3*(-1)^(2*a*b*x^3 + 2*a^2)*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x)))/a","A",0
95,1,106,0,1.742291," ","integrate(1/x^2/((b*x^3+a)^2)^(1/2),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
96,1,106,0,2.210643," ","integrate(1/x^3/((b*x^3+a)^2)^(1/2),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
97,1,73,0,1.195172," ","integrate(1/x^4/((b*x^3+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{\left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right)}{3 \, a^{2}} - \frac{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}}}{3 \, a^{2} x^{3}}"," ",0,"1/3*(-1)^(2*a*b*x^3 + 2*a^2)*b*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x)))/a^2 - 1/3*sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)/(a^2*x^3)","A",0
98,1,149,0,1.809838," ","integrate(x^4/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),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
99,1,146,0,1.699907," ","integrate(x^3/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),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
100,1,16,0,0.888004," ","integrate(x^2/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{6 \, {\left(x^{3} + \frac{a}{b}\right)}^{2} b^{3}}"," ",0,"-1/6/((x^3 + a/b)^2*b^3)","A",0
101,1,147,0,1.361176," ","integrate(x/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),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
102,1,145,0,1.915959," ","integrate(1/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),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
103,1,88,0,1.152716," ","integrate(1/x/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right)}{3 \, a^{3}} + \frac{1}{3 \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a^{2}} + \frac{1}{6 \, {\left(x^{3} + \frac{a}{b}\right)}^{2} a b^{2}}"," ",0,"-1/3*(-1)^(2*a*b*x^3 + 2*a^2)*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x)))/a^3 + 1/3/(sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a^2) + 1/6/((x^3 + a/b)^2*a*b^2)","A",0
104,1,148,0,1.949229," ","integrate(1/x^2/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{28 \, b^{2} x^{6} + 49 \, a b x^{3} + 18 \, a^{2}}{18 \, {\left(a^{3} b^{2} x^{7} + 2 \, a^{4} b x^{4} + a^{5} x\right)}} - \frac{14 \, \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^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{7 \, \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{27 \, a^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{14 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a^{3} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/18*(28*b^2*x^6 + 49*a*b*x^3 + 18*a^2)/(a^3*b^2*x^7 + 2*a^4*b*x^4 + a^5*x) - 14/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^3*(a/b)^(1/3)) - 7/27*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^3*(a/b)^(1/3)) + 14/27*log(x + (a/b)^(1/3))/(a^3*(a/b)^(1/3))","A",0
105,1,150,0,1.801414," ","integrate(1/x^3/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{20 \, b^{2} x^{6} + 32 \, a b x^{3} + 9 \, a^{2}}{18 \, {\left(a^{3} b^{2} x^{8} + 2 \, a^{4} b x^{5} + a^{5} x^{2}\right)}} - \frac{20 \, \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^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{10 \, \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{27 \, a^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{20 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{27 \, a^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/18*(20*b^2*x^6 + 32*a*b*x^3 + 9*a^2)/(a^3*b^2*x^8 + 2*a^4*b*x^5 + a^5*x^2) - 20/27*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^3*(a/b)^(2/3)) + 10/27*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^3*(a/b)^(2/3)) - 20/27*log(x + (a/b)^(1/3))/(a^3*(a/b)^(2/3))","A",0
106,1,117,0,0.994343," ","integrate(1/x^4/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x, algorithm=""maxima"")","\frac{\left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right)}{a^{4}} - \frac{b}{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a^{3}} - \frac{1}{6 \, {\left(x^{3} + \frac{a}{b}\right)}^{2} a^{2} b} - \frac{1}{3 \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a^{2} x^{3}}"," ",0,"(-1)^(2*a*b*x^3 + 2*a^2)*b*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x)))/a^4 - b/(sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a^3) - 1/6/((x^3 + a/b)^2*a^2*b) - 1/3/(sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a^2*x^3)","A",0
107,1,195,0,1.347594," ","integrate(x^6/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{10 \, b^{3} x^{10} + 36 \, a b^{2} x^{7} - 75 \, a^{2} b x^{4} - 20 \, a^{3} x}{972 \, {\left(a^{2} b^{6} x^{12} + 4 \, a^{3} b^{5} x^{9} + 6 \, a^{4} b^{4} x^{6} + 4 \, a^{5} b^{3} x^{3} + a^{6} 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)}{729 \, a^{2} b^{3} \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)}{1458 \, a^{2} b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{5 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{729 \, a^{2} b^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/972*(10*b^3*x^10 + 36*a*b^2*x^7 - 75*a^2*b*x^4 - 20*a^3*x)/(a^2*b^6*x^12 + 4*a^3*b^5*x^9 + 6*a^4*b^4*x^6 + 4*a^5*b^3*x^3 + a^6*b^2) + 5/729*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^2*b^3*(a/b)^(2/3)) - 5/1458*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^2*b^3*(a/b)^(2/3)) + 5/729*log(x + (a/b)^(1/3))/(a^2*b^3*(a/b)^(2/3))","A",0
108,1,43,0,0.857175," ","integrate(x^5/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{9 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} b^{2}} + \frac{a}{12 \, {\left(x^{3} + \frac{a}{b}\right)}^{4} b^{6}}"," ",0,"-1/9/((b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*b^2) + 1/12*a/((x^3 + a/b)^4*b^6)","A",0
109,1,195,0,1.765535," ","integrate(x^4/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{28 \, b^{3} x^{11} + 105 \, a b^{2} x^{8} + 144 \, a^{2} b x^{5} - 14 \, a^{3} x^{2}}{972 \, {\left(a^{3} b^{5} x^{12} + 4 \, a^{4} b^{4} x^{9} + 6 \, a^{5} b^{3} x^{6} + 4 \, a^{6} b^{2} x^{3} + a^{7} b\right)}} + \frac{7 \, \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)}{729 \, a^{3} b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{7 \, \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{1458 \, a^{3} b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{7 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{729 \, a^{3} b^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/972*(28*b^3*x^11 + 105*a*b^2*x^8 + 144*a^2*b*x^5 - 14*a^3*x^2)/(a^3*b^5*x^12 + 4*a^4*b^4*x^9 + 6*a^5*b^3*x^6 + 4*a^6*b^2*x^3 + a^7*b) + 7/729*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^3*b^2*(a/b)^(1/3)) + 7/1458*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^3*b^2*(a/b)^(1/3)) - 7/729*log(x + (a/b)^(1/3))/(a^3*b^2*(a/b)^(1/3))","A",0
110,1,193,0,2.284203," ","integrate(x^3/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{20 \, b^{3} x^{10} + 72 \, a b^{2} x^{7} + 93 \, a^{2} b x^{4} - 40 \, a^{3} x}{972 \, {\left(a^{3} b^{5} x^{12} + 4 \, a^{4} b^{4} x^{9} + 6 \, a^{5} b^{3} x^{6} + 4 \, a^{6} b^{2} x^{3} + a^{7} b\right)}} + \frac{10 \, \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)}{729 \, a^{3} b^{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)}{729 \, a^{3} b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{10 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{729 \, a^{3} b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/972*(20*b^3*x^10 + 72*a*b^2*x^7 + 93*a^2*b*x^4 - 40*a^3*x)/(a^3*b^5*x^12 + 4*a^4*b^4*x^9 + 6*a^5*b^3*x^6 + 4*a^6*b^2*x^3 + a^7*b) + 10/729*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^3*b^2*(a/b)^(2/3)) - 5/729*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^3*b^2*(a/b)^(2/3)) + 10/729*log(x + (a/b)^(1/3))/(a^3*b^2*(a/b)^(2/3))","A",0
111,1,16,0,0.511853," ","integrate(x^2/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{1}{12 \, {\left(x^{3} + \frac{a}{b}\right)}^{4} b^{5}}"," ",0,"-1/12/((x^3 + a/b)^4*b^5)","A",0
112,1,191,0,2.184360," ","integrate(x/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{140 \, b^{3} x^{11} + 525 \, a b^{2} x^{8} + 720 \, a^{2} b x^{5} + 416 \, a^{3} x^{2}}{972 \, {\left(a^{4} b^{4} x^{12} + 4 \, a^{5} b^{3} x^{9} + 6 \, a^{6} b^{2} x^{6} + 4 \, a^{7} b x^{3} + a^{8}\right)}} + \frac{35 \, \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)}{729 \, a^{4} b \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{35 \, \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{1458 \, a^{4} b \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{35 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{729 \, a^{4} b \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"1/972*(140*b^3*x^11 + 525*a*b^2*x^8 + 720*a^2*b*x^5 + 416*a^3*x^2)/(a^4*b^4*x^12 + 4*a^5*b^3*x^9 + 6*a^6*b^2*x^6 + 4*a^7*b*x^3 + a^8) + 35/729*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^4*b*(a/b)^(1/3)) + 35/1458*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^4*b*(a/b)^(1/3)) - 35/729*log(x + (a/b)^(1/3))/(a^4*b*(a/b)^(1/3))","A",0
113,1,189,0,2.152169," ","integrate(1/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{220 \, b^{3} x^{10} + 792 \, a b^{2} x^{7} + 1023 \, a^{2} b x^{4} + 532 \, a^{3} x}{972 \, {\left(a^{4} b^{4} x^{12} + 4 \, a^{5} b^{3} x^{9} + 6 \, a^{6} b^{2} x^{6} + 4 \, a^{7} b x^{3} + a^{8}\right)}} + \frac{110 \, \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)}{729 \, a^{4} b \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{55 \, \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{729 \, a^{4} b \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{110 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{729 \, a^{4} b \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"1/972*(220*b^3*x^10 + 792*a*b^2*x^7 + 1023*a^2*b*x^4 + 532*a^3*x)/(a^4*b^4*x^12 + 4*a^5*b^3*x^9 + 6*a^6*b^2*x^6 + 4*a^7*b*x^3 + a^8) + 110/729*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^4*b*(a/b)^(2/3)) - 55/729*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^4*b*(a/b)^(2/3)) + 110/729*log(x + (a/b)^(1/3))/(a^4*b*(a/b)^(2/3))","A",0
114,1,132,0,0.875344," ","integrate(1/x/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{\left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right)}{3 \, a^{5}} + \frac{1}{9 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} a^{2}} + \frac{1}{3 \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a^{4}} + \frac{1}{6 \, {\left(x^{3} + \frac{a}{b}\right)}^{2} a^{3} b^{2}} + \frac{1}{12 \, {\left(x^{3} + \frac{a}{b}\right)}^{4} a b^{4}}"," ",0,"-1/3*(-1)^(2*a*b*x^3 + 2*a^2)*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x)))/a^5 + 1/9/((b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*a^2) + 1/3/(sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a^4) + 1/6/((x^3 + a/b)^2*a^3*b^2) + 1/12/((x^3 + a/b)^4*a*b^4)","A",0
115,1,192,0,2.333401," ","integrate(1/x^2/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{1820 \, b^{4} x^{12} + 6825 \, a b^{3} x^{9} + 9360 \, a^{2} b^{2} x^{6} + 5408 \, a^{3} b x^{3} + 972 \, a^{4}}{972 \, {\left(a^{5} b^{4} x^{13} + 4 \, a^{6} b^{3} x^{10} + 6 \, a^{7} b^{2} x^{7} + 4 \, a^{8} b x^{4} + a^{9} x\right)}} - \frac{455 \, \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)}{729 \, a^{5} \left(\frac{a}{b}\right)^{\frac{1}{3}}} - \frac{455 \, \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{1458 \, a^{5} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{455 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{729 \, a^{5} \left(\frac{a}{b}\right)^{\frac{1}{3}}}"," ",0,"-1/972*(1820*b^4*x^12 + 6825*a*b^3*x^9 + 9360*a^2*b^2*x^6 + 5408*a^3*b*x^3 + 972*a^4)/(a^5*b^4*x^13 + 4*a^6*b^3*x^10 + 6*a^7*b^2*x^7 + 4*a^8*b*x^4 + a^9*x) - 455/729*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^5*(a/b)^(1/3)) - 455/1458*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^5*(a/b)^(1/3)) + 455/729*log(x + (a/b)^(1/3))/(a^5*(a/b)^(1/3))","A",0
116,1,194,0,2.059170," ","integrate(1/x^3/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","-\frac{1540 \, b^{4} x^{12} + 5544 \, a b^{3} x^{9} + 7161 \, a^{2} b^{2} x^{6} + 3724 \, a^{3} b x^{3} + 486 \, a^{4}}{972 \, {\left(a^{5} b^{4} x^{14} + 4 \, a^{6} b^{3} x^{11} + 6 \, a^{7} b^{2} x^{8} + 4 \, a^{8} b x^{5} + a^{9} x^{2}\right)}} - \frac{770 \, \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)}{729 \, a^{5} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{385 \, \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{729 \, a^{5} \left(\frac{a}{b}\right)^{\frac{2}{3}}} - \frac{770 \, \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{729 \, a^{5} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/972*(1540*b^4*x^12 + 5544*a*b^3*x^9 + 7161*a^2*b^2*x^6 + 3724*a^3*b*x^3 + 486*a^4)/(a^5*b^4*x^14 + 4*a^6*b^3*x^11 + 6*a^7*b^2*x^8 + 4*a^8*b*x^5 + a^9*x^2) - 770/729*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a^5*(a/b)^(2/3)) + 385/729*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(a^5*(a/b)^(2/3)) - 770/729*log(x + (a/b)^(1/3))/(a^5*(a/b)^(2/3))","A",0
117,1,163,0,0.850612," ","integrate(1/x^4/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{5 \, \left(-1\right)^{2 \, a b x^{3} + 2 \, a^{2}} b \log\left(\frac{2 \, a b x}{{\left| x \right|}} + \frac{2 \, a^{2}}{x^{2} {\left| x \right|}}\right)}{3 \, a^{6}} - \frac{5 \, b}{9 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} a^{3}} - \frac{5 \, b}{3 \, \sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}} a^{5}} - \frac{1}{3 \, {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}} a^{2} x^{3}} - \frac{5}{6 \, {\left(x^{3} + \frac{a}{b}\right)}^{2} a^{4} b} - \frac{1}{12 \, {\left(x^{3} + \frac{a}{b}\right)}^{4} a^{2} b^{3}}"," ",0,"5/3*(-1)^(2*a*b*x^3 + 2*a^2)*b*log(2*a*b*x/abs(x) + 2*a^2/(x^2*abs(x)))/a^6 - 5/9*b/((b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*a^3) - 5/3*b/(sqrt(b^2*x^6 + 2*a*b*x^3 + a^2)*a^5) - 1/3/((b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2)*a^2*x^3) - 5/6/((x^3 + a/b)^2*a^4*b) - 1/12/((x^3 + a/b)^4*a^2*b^3)","A",0
118,1,243,0,0.951849," ","integrate((d*x)^m*(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left({\left(m^{5} + 35 \, m^{4} + 445 \, m^{3} + 2485 \, m^{2} + 5714 \, m + 3640\right)} b^{5} d^{m} x^{16} + 5 \, {\left(m^{5} + 38 \, m^{4} + 511 \, m^{3} + 2962 \, m^{2} + 6968 \, m + 4480\right)} a b^{4} d^{m} x^{13} + 10 \, {\left(m^{5} + 41 \, m^{4} + 595 \, m^{3} + 3655 \, m^{2} + 8924 \, m + 5824\right)} a^{2} b^{3} d^{m} x^{10} + 10 \, {\left(m^{5} + 44 \, m^{4} + 697 \, m^{3} + 4726 \, m^{2} + 12392 \, m + 8320\right)} a^{3} b^{2} d^{m} x^{7} + 5 \, {\left(m^{5} + 47 \, m^{4} + 817 \, m^{3} + 6337 \, m^{2} + 20126 \, m + 14560\right)} a^{4} b d^{m} x^{4} + {\left(m^{5} + 50 \, m^{4} + 955 \, m^{3} + 8650 \, m^{2} + 36824 \, m + 58240\right)} a^{5} d^{m} x\right)} x^{m}}{m^{6} + 51 \, m^{5} + 1005 \, m^{4} + 9605 \, m^{3} + 45474 \, m^{2} + 95064 \, m + 58240}"," ",0,"((m^5 + 35*m^4 + 445*m^3 + 2485*m^2 + 5714*m + 3640)*b^5*d^m*x^16 + 5*(m^5 + 38*m^4 + 511*m^3 + 2962*m^2 + 6968*m + 4480)*a*b^4*d^m*x^13 + 10*(m^5 + 41*m^4 + 595*m^3 + 3655*m^2 + 8924*m + 5824)*a^2*b^3*d^m*x^10 + 10*(m^5 + 44*m^4 + 697*m^3 + 4726*m^2 + 12392*m + 8320)*a^3*b^2*d^m*x^7 + 5*(m^5 + 47*m^4 + 817*m^3 + 6337*m^2 + 20126*m + 14560)*a^4*b*d^m*x^4 + (m^5 + 50*m^4 + 955*m^3 + 8650*m^2 + 36824*m + 58240)*a^5*d^m*x)*x^m/(m^6 + 51*m^5 + 1005*m^4 + 9605*m^3 + 45474*m^2 + 95064*m + 58240)","A",0
119,1,119,0,1.036781," ","integrate((d*x)^m*(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left({\left(m^{3} + 12 \, m^{2} + 39 \, m + 28\right)} b^{3} d^{m} x^{10} + 3 \, {\left(m^{3} + 15 \, m^{2} + 54 \, m + 40\right)} a b^{2} d^{m} x^{7} + 3 \, {\left(m^{3} + 18 \, m^{2} + 87 \, m + 70\right)} a^{2} b d^{m} x^{4} + {\left(m^{3} + 21 \, m^{2} + 138 \, m + 280\right)} a^{3} d^{m} x\right)} x^{m}}{m^{4} + 22 \, m^{3} + 159 \, m^{2} + 418 \, m + 280}"," ",0,"((m^3 + 12*m^2 + 39*m + 28)*b^3*d^m*x^10 + 3*(m^3 + 15*m^2 + 54*m + 40)*a*b^2*d^m*x^7 + 3*(m^3 + 18*m^2 + 87*m + 70)*a^2*b*d^m*x^4 + (m^3 + 21*m^2 + 138*m + 280)*a^3*d^m*x)*x^m/(m^4 + 22*m^3 + 159*m^2 + 418*m + 280)","A",0
120,1,35,0,1.033701," ","integrate((d*x)^m*(b^2*x^6+2*a*b*x^3+a^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b d^{m} {\left(m + 1\right)} x^{4} + a d^{m} {\left(m + 4\right)} x\right)} x^{m}}{m^{2} + 5 \, m + 4}"," ",0,"(b*d^m*(m + 1)*x^4 + a*d^m*(m + 4)*x)*x^m/(m^2 + 5*m + 4)","A",0
121,0,0,0,0.000000," ","integrate((d*x)^m/(b^2*x^6+2*a*b*x^3+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{\sqrt{b^{2} x^{6} + 2 \, a b x^{3} + a^{2}}}\,{d x}"," ",0,"integrate((d*x)^m/sqrt(b^2*x^6 + 2*a*b*x^3 + a^2), x)","F",0
122,0,0,0,0.000000," ","integrate((d*x)^m/(b^2*x^6+2*a*b*x^3+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x)^m/(b^2*x^6 + 2*a*b*x^3 + a^2)^(3/2), x)","F",0
123,0,0,0,0.000000," ","integrate((d*x)^m/(b^2*x^6+2*a*b*x^3+a^2)^(5/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*x)^m/(b^2*x^6 + 2*a*b*x^3 + a^2)^(5/2), x)","F",0
124,0,0,0,0.000000," ","integrate((d*x)^m*(b^2*x^6+2*a*b*x^3+a^2)^p,x, algorithm=""maxima"")","\int {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{p} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((b^2*x^6 + 2*a*b*x^3 + a^2)^p*(d*x)^m, x)","F",0
125,1,115,0,0.808307," ","integrate(x^11*(b^2*x^6+2*a*b*x^3+a^2)^p,x, algorithm=""maxima"")","\frac{{\left({\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} b^{4} x^{12} + 2 \, {\left(2 \, p^{3} + 3 \, p^{2} + p\right)} a b^{3} x^{9} - 3 \, {\left(2 \, p^{2} + p\right)} a^{2} b^{2} x^{6} + 6 \, a^{3} b p x^{3} - 3 \, a^{4}\right)} {\left(b x^{3} + a\right)}^{2 \, p}}{6 \, {\left(4 \, p^{4} + 20 \, p^{3} + 35 \, p^{2} + 25 \, p + 6\right)} b^{4}}"," ",0,"1/6*((4*p^3 + 12*p^2 + 11*p + 3)*b^4*x^12 + 2*(2*p^3 + 3*p^2 + p)*a*b^3*x^9 - 3*(2*p^2 + p)*a^2*b^2*x^6 + 6*a^3*b*p*x^3 - 3*a^4)*(b*x^3 + a)^(2*p)/((4*p^4 + 20*p^3 + 35*p^2 + 25*p + 6)*b^4)","A",0
126,1,79,0,1.221776," ","integrate(x^8*(b^2*x^6+2*a*b*x^3+a^2)^p,x, algorithm=""maxima"")","\frac{{\left({\left(2 \, p^{2} + 3 \, p + 1\right)} b^{3} x^{9} + {\left(2 \, p^{2} + p\right)} a b^{2} x^{6} - 2 \, a^{2} b p x^{3} + a^{3}\right)} {\left(b x^{3} + a\right)}^{2 \, p}}{3 \, {\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} b^{3}}"," ",0,"1/3*((2*p^2 + 3*p + 1)*b^3*x^9 + (2*p^2 + p)*a*b^2*x^6 - 2*a^2*b*p*x^3 + a^3)*(b*x^3 + a)^(2*p)/((4*p^3 + 12*p^2 + 11*p + 3)*b^3)","A",0
127,1,54,0,0.627740," ","integrate(x^5*(b^2*x^6+2*a*b*x^3+a^2)^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(2 \, p + 1\right)} x^{6} + 2 \, a b p x^{3} - a^{2}\right)} {\left(b x^{3} + a\right)}^{2 \, p}}{6 \, {\left(2 \, p^{2} + 3 \, p + 1\right)} b^{2}}"," ",0,"1/6*(b^2*(2*p + 1)*x^6 + 2*a*b*p*x^3 - a^2)*(b*x^3 + a)^(2*p)/((2*p^2 + 3*p + 1)*b^2)","A",0
128,0,0,0,0.000000," ","integrate(x^4*(b^2*x^6+2*a*b*x^3+a^2)^p,x, algorithm=""maxima"")","\int {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{p} x^{4}\,{d x}"," ",0,"integrate((b^2*x^6 + 2*a*b*x^3 + a^2)^p*x^4, x)","F",0
129,0,0,0,0.000000," ","integrate(x^3*(b^2*x^6+2*a*b*x^3+a^2)^p,x, algorithm=""maxima"")","\int {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{p} x^{3}\,{d x}"," ",0,"integrate((b^2*x^6 + 2*a*b*x^3 + a^2)^p*x^3, x)","F",0
130,1,30,0,0.946848," ","integrate(x^2*(b^2*x^6+2*a*b*x^3+a^2)^p,x, algorithm=""maxima"")","\frac{{\left(b x^{3} + a\right)} {\left(b x^{3} + a\right)}^{2 \, p}}{3 \, b {\left(2 \, p + 1\right)}}"," ",0,"1/3*(b*x^3 + a)*(b*x^3 + a)^(2*p)/(b*(2*p + 1))","A",0
131,0,0,0,0.000000," ","integrate(x*(b^2*x^6+2*a*b*x^3+a^2)^p,x, algorithm=""maxima"")","\int {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{p} x\,{d x}"," ",0,"integrate((b^2*x^6 + 2*a*b*x^3 + a^2)^p*x, x)","F",0
132,0,0,0,0.000000," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^p,x, algorithm=""maxima"")","\int {\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{p}\,{d x}"," ",0,"integrate((b^2*x^6 + 2*a*b*x^3 + a^2)^p, x)","F",0
133,0,0,0,0.000000," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b^2*x^6 + 2*a*b*x^3 + a^2)^p/x, x)","F",0
134,0,0,0,0.000000," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b^2*x^6 + 2*a*b*x^3 + a^2)^p/x^2, x)","F",0
135,0,0,0,0.000000," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^p/x^3,x, algorithm=""maxima"")","\int \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((b^2*x^6 + 2*a*b*x^3 + a^2)^p/x^3, x)","F",0
136,0,0,0,0.000000," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^p/x^4,x, algorithm=""maxima"")","\int \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{p}}{x^{4}}\,{d x}"," ",0,"integrate((b^2*x^6 + 2*a*b*x^3 + a^2)^p/x^4, x)","F",0
137,0,0,0,0.000000," ","integrate((b^2*x^6+2*a*b*x^3+a^2)^p/x^5,x, algorithm=""maxima"")","\int \frac{{\left(b^{2} x^{6} + 2 \, a b x^{3} + a^{2}\right)}^{p}}{x^{5}}\,{d x}"," ",0,"integrate((b^2*x^6 + 2*a*b*x^3 + a^2)^p/x^5, x)","F",0
138,-2,0,0,0.000000," ","integrate(x^8/(c*x^6+b*x^3+a),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
139,-2,0,0,0.000000," ","integrate(x^5/(c*x^6+b*x^3+a),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
140,-2,0,0,0.000000," ","integrate(x^2/(c*x^6+b*x^3+a),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
141,-2,0,0,0.000000," ","integrate(1/x/(c*x^6+b*x^3+a),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
142,-2,0,0,0.000000," ","integrate(1/x^4/(c*x^6+b*x^3+a),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
143,0,0,0,0.000000," ","integrate(x^7/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, c} - \frac{\int \frac{b x^{4} + a x}{c x^{6} + b x^{3} + a}\,{d x}}{c}"," ",0,"1/2*x^2/c - integrate((b*x^4 + a*x)/(c*x^6 + b*x^3 + a), x)/c","F",0
144,0,0,0,0.000000," ","integrate(x^6/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\frac{x}{c} - \frac{\int \frac{b x^{3} + a}{c x^{6} + b x^{3} + a}\,{d x}}{c}"," ",0,"x/c - integrate((b*x^3 + a)/(c*x^6 + b*x^3 + a), x)/c","F",0
145,0,0,0,0.000000," ","integrate(x^4/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\int \frac{x^{4}}{c x^{6} + b x^{3} + a}\,{d x}"," ",0,"integrate(x^4/(c*x^6 + b*x^3 + a), x)","F",0
146,0,0,0,0.000000," ","integrate(x^3/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\int \frac{x^{3}}{c x^{6} + b x^{3} + a}\,{d x}"," ",0,"integrate(x^3/(c*x^6 + b*x^3 + a), x)","F",0
147,0,0,0,0.000000," ","integrate(x/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\int \frac{x}{c x^{6} + b x^{3} + a}\,{d x}"," ",0,"integrate(x/(c*x^6 + b*x^3 + a), x)","F",0
148,0,0,0,0.000000," ","integrate(1/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\int \frac{1}{c x^{6} + b x^{3} + a}\,{d x}"," ",0,"integrate(1/(c*x^6 + b*x^3 + a), x)","F",0
149,0,0,0,0.000000," ","integrate(1/x^2/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","-\frac{\int \frac{c x^{4} + b x}{c x^{6} + b x^{3} + a}\,{d x}}{a} - \frac{1}{a x}"," ",0,"-integrate((c*x^4 + b*x)/(c*x^6 + b*x^3 + a), x)/a - 1/(a*x)","F",0
150,0,0,0,0.000000," ","integrate(1/x^3/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","-\frac{\int \frac{c x^{3} + b}{c x^{6} + b x^{3} + a}\,{d x}}{a} - \frac{1}{2 \, a x^{2}}"," ",0,"-integrate((c*x^3 + b)/(c*x^6 + b*x^3 + a), x)/a - 1/2/(a*x^2)","F",0
151,1,27,0,0.489105," ","integrate(x^11/(x^6+4*x^3+3),x, algorithm=""maxima"")","\frac{1}{6} \, x^{6} - \frac{4}{3} \, x^{3} + \frac{9}{2} \, \log\left(x^{3} + 3\right) - \frac{1}{6} \, \log\left(x^{3} + 1\right)"," ",0,"1/6*x^6 - 4/3*x^3 + 9/2*log(x^3 + 3) - 1/6*log(x^3 + 1)","A",0
152,1,22,0,0.486704," ","integrate(x^8/(x^6+4*x^3+3),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} - \frac{3}{2} \, \log\left(x^{3} + 3\right) + \frac{1}{6} \, \log\left(x^{3} + 1\right)"," ",0,"1/3*x^3 - 3/2*log(x^3 + 3) + 1/6*log(x^3 + 1)","A",0
153,1,17,0,0.519331," ","integrate(x^5/(x^6+4*x^3+3),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(x^{3} + 3\right) - \frac{1}{6} \, \log\left(x^{3} + 1\right)"," ",0,"1/2*log(x^3 + 3) - 1/6*log(x^3 + 1)","A",0
154,1,17,0,0.465198," ","integrate(x^2/(x^6+4*x^3+3),x, algorithm=""maxima"")","-\frac{1}{6} \, \log\left(x^{3} + 3\right) + \frac{1}{6} \, \log\left(x^{3} + 1\right)"," ",0,"-1/6*log(x^3 + 3) + 1/6*log(x^3 + 1)","B",0
155,1,23,0,0.450790," ","integrate(1/x/(x^6+4*x^3+3),x, algorithm=""maxima"")","\frac{1}{18} \, \log\left(x^{3} + 3\right) - \frac{1}{6} \, \log\left(x^{3} + 1\right) + \frac{1}{9} \, \log\left(x^{3}\right)"," ",0,"1/18*log(x^3 + 3) - 1/6*log(x^3 + 1) + 1/9*log(x^3)","A",0
156,1,28,0,0.682059," ","integrate(1/x^4/(x^6+4*x^3+3),x, algorithm=""maxima"")","-\frac{1}{9 \, x^{3}} - \frac{1}{54} \, \log\left(x^{3} + 3\right) + \frac{1}{6} \, \log\left(x^{3} + 1\right) - \frac{4}{27} \, \log\left(x^{3}\right)"," ",0,"-1/9/x^3 - 1/54*log(x^3 + 3) + 1/6*log(x^3 + 1) - 4/27*log(x^3)","A",0
157,1,35,0,0.587623," ","integrate(1/x^7/(x^6+4*x^3+3),x, algorithm=""maxima"")","\frac{8 \, x^{3} - 3}{54 \, x^{6}} + \frac{1}{162} \, \log\left(x^{3} + 3\right) - \frac{1}{6} \, \log\left(x^{3} + 1\right) + \frac{13}{81} \, \log\left(x^{3}\right)"," ",0,"1/54*(8*x^3 - 3)/x^6 + 1/162*log(x^3 + 3) - 1/6*log(x^3 + 1) + 13/81*log(x^3)","A",0
158,1,94,0,1.229537," ","integrate(x^10/(x^6+4*x^3+3),x, algorithm=""maxima"")","\frac{1}{5} \, x^{5} - 2 \, x^{2} + \frac{3}{4} \cdot 3^{\frac{2}{3}} \log\left(x^{2} - 3^{\frac{1}{3}} x + 3^{\frac{2}{3}}\right) - \frac{3}{2} \cdot 3^{\frac{2}{3}} \log\left(x + 3^{\frac{1}{3}}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{9}{2} \cdot 3^{\frac{1}{6}} \arctan\left(\frac{1}{3} \cdot 3^{\frac{1}{6}} {\left(2 \, x - 3^{\frac{1}{3}}\right)}\right) - \frac{1}{12} \, \log\left(x^{2} - x + 1\right) + \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"1/5*x^5 - 2*x^2 + 3/4*3^(2/3)*log(x^2 - 3^(1/3)*x + 3^(2/3)) - 3/2*3^(2/3)*log(x + 3^(1/3)) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 9/2*3^(1/6)*arctan(1/3*3^(1/6)*(2*x - 3^(1/3))) - 1/12*log(x^2 - x + 1) + 1/6*log(x + 1)","A",0
159,1,92,0,1.330920," ","integrate(x^9/(x^6+4*x^3+3),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} + \frac{3}{2} \cdot 3^{\frac{5}{6}} \arctan\left(\frac{1}{3} \cdot 3^{\frac{1}{6}} {\left(2 \, x - 3^{\frac{1}{3}}\right)}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{3}{4} \cdot 3^{\frac{1}{3}} \log\left(x^{2} - 3^{\frac{1}{3}} x + 3^{\frac{2}{3}}\right) + \frac{3}{2} \cdot 3^{\frac{1}{3}} \log\left(x + 3^{\frac{1}{3}}\right) - 4 \, x + \frac{1}{12} \, \log\left(x^{2} - x + 1\right) - \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"1/4*x^4 + 3/2*3^(5/6)*arctan(1/3*3^(1/6)*(2*x - 3^(1/3))) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 3/4*3^(1/3)*log(x^2 - 3^(1/3)*x + 3^(2/3)) + 3/2*3^(1/3)*log(x + 3^(1/3)) - 4*x + 1/12*log(x^2 - x + 1) - 1/6*log(x + 1)","A",0
160,1,89,0,1.305207," ","integrate(x^7/(x^6+4*x^3+3),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{1}{4} \cdot 3^{\frac{2}{3}} \log\left(x^{2} - 3^{\frac{1}{3}} x + 3^{\frac{2}{3}}\right) + \frac{1}{2} \cdot 3^{\frac{2}{3}} \log\left(x + 3^{\frac{1}{3}}\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{3}{2} \cdot 3^{\frac{1}{6}} \arctan\left(\frac{1}{3} \cdot 3^{\frac{1}{6}} {\left(2 \, x - 3^{\frac{1}{3}}\right)}\right) + \frac{1}{12} \, \log\left(x^{2} - x + 1\right) - \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"1/2*x^2 - 1/4*3^(2/3)*log(x^2 - 3^(1/3)*x + 3^(2/3)) + 1/2*3^(2/3)*log(x + 3^(1/3)) + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 3/2*3^(1/6)*arctan(1/3*3^(1/6)*(2*x - 3^(1/3))) + 1/12*log(x^2 - x + 1) - 1/6*log(x + 1)","A",0
161,1,85,0,1.227382," ","integrate(x^6/(x^6+4*x^3+3),x, algorithm=""maxima"")","-\frac{1}{2} \cdot 3^{\frac{5}{6}} \arctan\left(\frac{1}{3} \cdot 3^{\frac{1}{6}} {\left(2 \, x - 3^{\frac{1}{3}}\right)}\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{4} \cdot 3^{\frac{1}{3}} \log\left(x^{2} - 3^{\frac{1}{3}} x + 3^{\frac{2}{3}}\right) - \frac{1}{2} \cdot 3^{\frac{1}{3}} \log\left(x + 3^{\frac{1}{3}}\right) + x - \frac{1}{12} \, \log\left(x^{2} - x + 1\right) + \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"-1/2*3^(5/6)*arctan(1/3*3^(1/6)*(2*x - 3^(1/3))) + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/4*3^(1/3)*log(x^2 - 3^(1/3)*x + 3^(2/3)) - 1/2*3^(1/3)*log(x + 3^(1/3)) + x - 1/12*log(x^2 - x + 1) + 1/6*log(x + 1)","A",0
162,1,84,0,1.606920," ","integrate(x^4/(x^6+4*x^3+3),x, algorithm=""maxima"")","\frac{1}{12} \cdot 3^{\frac{2}{3}} \log\left(x^{2} - 3^{\frac{1}{3}} x + 3^{\frac{2}{3}}\right) - \frac{1}{6} \cdot 3^{\frac{2}{3}} \log\left(x + 3^{\frac{1}{3}}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{2} \cdot 3^{\frac{1}{6}} \arctan\left(\frac{1}{3} \cdot 3^{\frac{1}{6}} {\left(2 \, x - 3^{\frac{1}{3}}\right)}\right) - \frac{1}{12} \, \log\left(x^{2} - x + 1\right) + \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"1/12*3^(2/3)*log(x^2 - 3^(1/3)*x + 3^(2/3)) - 1/6*3^(2/3)*log(x + 3^(1/3)) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/2*3^(1/6)*arctan(1/3*3^(1/6)*(2*x - 3^(1/3))) - 1/12*log(x^2 - x + 1) + 1/6*log(x + 1)","A",0
163,1,84,0,1.706379," ","integrate(x^3/(x^6+4*x^3+3),x, algorithm=""maxima"")","\frac{1}{6} \cdot 3^{\frac{5}{6}} \arctan\left(\frac{1}{3} \cdot 3^{\frac{1}{6}} {\left(2 \, x - 3^{\frac{1}{3}}\right)}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{12} \cdot 3^{\frac{1}{3}} \log\left(x^{2} - 3^{\frac{1}{3}} x + 3^{\frac{2}{3}}\right) + \frac{1}{6} \cdot 3^{\frac{1}{3}} \log\left(x + 3^{\frac{1}{3}}\right) + \frac{1}{12} \, \log\left(x^{2} - x + 1\right) - \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"1/6*3^(5/6)*arctan(1/3*3^(1/6)*(2*x - 3^(1/3))) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/12*3^(1/3)*log(x^2 - 3^(1/3)*x + 3^(2/3)) + 1/6*3^(1/3)*log(x + 3^(1/3)) + 1/12*log(x^2 - x + 1) - 1/6*log(x + 1)","A",0
164,1,84,0,1.596825," ","integrate(x/(x^6+4*x^3+3),x, algorithm=""maxima"")","-\frac{1}{36} \cdot 3^{\frac{2}{3}} \log\left(x^{2} - 3^{\frac{1}{3}} x + 3^{\frac{2}{3}}\right) + \frac{1}{18} \cdot 3^{\frac{2}{3}} \log\left(x + 3^{\frac{1}{3}}\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{6} \cdot 3^{\frac{1}{6}} \arctan\left(\frac{1}{3} \cdot 3^{\frac{1}{6}} {\left(2 \, x - 3^{\frac{1}{3}}\right)}\right) + \frac{1}{12} \, \log\left(x^{2} - x + 1\right) - \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"-1/36*3^(2/3)*log(x^2 - 3^(1/3)*x + 3^(2/3)) + 1/18*3^(2/3)*log(x + 3^(1/3)) + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/6*3^(1/6)*arctan(1/3*3^(1/6)*(2*x - 3^(1/3))) + 1/12*log(x^2 - x + 1) - 1/6*log(x + 1)","A",0
165,1,84,0,1.283134," ","integrate(1/(x^6+4*x^3+3),x, algorithm=""maxima"")","-\frac{1}{18} \cdot 3^{\frac{5}{6}} \arctan\left(\frac{1}{3} \cdot 3^{\frac{1}{6}} {\left(2 \, x - 3^{\frac{1}{3}}\right)}\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{36} \cdot 3^{\frac{1}{3}} \log\left(x^{2} - 3^{\frac{1}{3}} x + 3^{\frac{2}{3}}\right) - \frac{1}{18} \cdot 3^{\frac{1}{3}} \log\left(x + 3^{\frac{1}{3}}\right) - \frac{1}{12} \, \log\left(x^{2} - x + 1\right) + \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"-1/18*3^(5/6)*arctan(1/3*3^(1/6)*(2*x - 3^(1/3))) + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/36*3^(1/3)*log(x^2 - 3^(1/3)*x + 3^(2/3)) - 1/18*3^(1/3)*log(x + 3^(1/3)) - 1/12*log(x^2 - x + 1) + 1/6*log(x + 1)","A",0
166,1,89,0,1.085372," ","integrate(1/x^2/(x^6+4*x^3+3),x, algorithm=""maxima"")","\frac{1}{108} \cdot 3^{\frac{2}{3}} \log\left(x^{2} - 3^{\frac{1}{3}} x + 3^{\frac{2}{3}}\right) - \frac{1}{54} \cdot 3^{\frac{2}{3}} \log\left(x + 3^{\frac{1}{3}}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{18} \cdot 3^{\frac{1}{6}} \arctan\left(\frac{1}{3} \cdot 3^{\frac{1}{6}} {\left(2 \, x - 3^{\frac{1}{3}}\right)}\right) - \frac{1}{3 \, x} - \frac{1}{12} \, \log\left(x^{2} - x + 1\right) + \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"1/108*3^(2/3)*log(x^2 - 3^(1/3)*x + 3^(2/3)) - 1/54*3^(2/3)*log(x + 3^(1/3)) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/18*3^(1/6)*arctan(1/3*3^(1/6)*(2*x - 3^(1/3))) - 1/3/x - 1/12*log(x^2 - x + 1) + 1/6*log(x + 1)","A",0
167,1,89,0,1.274664," ","integrate(1/x^3/(x^6+4*x^3+3),x, algorithm=""maxima"")","\frac{1}{54} \cdot 3^{\frac{5}{6}} \arctan\left(\frac{1}{3} \cdot 3^{\frac{1}{6}} {\left(2 \, x - 3^{\frac{1}{3}}\right)}\right) - \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{108} \cdot 3^{\frac{1}{3}} \log\left(x^{2} - 3^{\frac{1}{3}} x + 3^{\frac{2}{3}}\right) + \frac{1}{54} \cdot 3^{\frac{1}{3}} \log\left(x + 3^{\frac{1}{3}}\right) - \frac{1}{6 \, x^{2}} + \frac{1}{12} \, \log\left(x^{2} - x + 1\right) - \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"1/54*3^(5/6)*arctan(1/3*3^(1/6)*(2*x - 3^(1/3))) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/108*3^(1/3)*log(x^2 - 3^(1/3)*x + 3^(2/3)) + 1/54*3^(1/3)*log(x + 3^(1/3)) - 1/6/x^2 + 1/12*log(x^2 - x + 1) - 1/6*log(x + 1)","A",0
168,1,96,0,1.197676," ","integrate(1/x^5/(x^6+4*x^3+3),x, algorithm=""maxima"")","-\frac{1}{324} \cdot 3^{\frac{2}{3}} \log\left(x^{2} - 3^{\frac{1}{3}} x + 3^{\frac{2}{3}}\right) + \frac{1}{162} \cdot 3^{\frac{2}{3}} \log\left(x + 3^{\frac{1}{3}}\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{54} \cdot 3^{\frac{1}{6}} \arctan\left(\frac{1}{3} \cdot 3^{\frac{1}{6}} {\left(2 \, x - 3^{\frac{1}{3}}\right)}\right) + \frac{16 \, x^{3} - 3}{36 \, x^{4}} + \frac{1}{12} \, \log\left(x^{2} - x + 1\right) - \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"-1/324*3^(2/3)*log(x^2 - 3^(1/3)*x + 3^(2/3)) + 1/162*3^(2/3)*log(x + 3^(1/3)) + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/54*3^(1/6)*arctan(1/3*3^(1/6)*(2*x - 3^(1/3))) + 1/36*(16*x^3 - 3)/x^4 + 1/12*log(x^2 - x + 1) - 1/6*log(x + 1)","A",0
169,1,96,0,1.657588," ","integrate(1/x^6/(x^6+4*x^3+3),x, algorithm=""maxima"")","-\frac{1}{162} \cdot 3^{\frac{5}{6}} \arctan\left(\frac{1}{3} \cdot 3^{\frac{1}{6}} {\left(2 \, x - 3^{\frac{1}{3}}\right)}\right) + \frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{324} \cdot 3^{\frac{1}{3}} \log\left(x^{2} - 3^{\frac{1}{3}} x + 3^{\frac{2}{3}}\right) - \frac{1}{162} \cdot 3^{\frac{1}{3}} \log\left(x + 3^{\frac{1}{3}}\right) + \frac{10 \, x^{3} - 3}{45 \, x^{5}} - \frac{1}{12} \, \log\left(x^{2} - x + 1\right) + \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"-1/162*3^(5/6)*arctan(1/3*3^(1/6)*(2*x - 3^(1/3))) + 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/324*3^(1/3)*log(x^2 - 3^(1/3)*x + 3^(2/3)) - 1/162*3^(1/3)*log(x + 3^(1/3)) + 1/45*(10*x^3 - 3)/x^5 - 1/12*log(x^2 - x + 1) + 1/6*log(x + 1)","A",0
170,0,0,0,0.000000," ","integrate(x^6/(x^6-x^3+1),x, algorithm=""maxima"")","x + \int \frac{x^{3} - 1}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"x + integrate((x^3 - 1)/(x^6 - x^3 + 1), x)","F",0
171,1,32,0,1.040648," ","integrate(x^5/(x^6-x^3+1),x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{3} - 1\right)}\right) + \frac{1}{6} \, \log\left(x^{6} - x^{3} + 1\right)"," ",0,"1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^3 - 1)) + 1/6*log(x^6 - x^3 + 1)","A",0
172,0,0,0,0.000000," ","integrate(x^4/(x^6-x^3+1),x, algorithm=""maxima"")","\int \frac{x^{4}}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"integrate(x^4/(x^6 - x^3 + 1), x)","F",0
173,0,0,0,0.000000," ","integrate(x^3/(x^6-x^3+1),x, algorithm=""maxima"")","\int \frac{x^{3}}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"integrate(x^3/(x^6 - x^3 + 1), x)","F",0
174,1,18,0,1.135216," ","integrate(x^2/(x^6-x^3+1),x, algorithm=""maxima"")","\frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{3} - 1\right)}\right)"," ",0,"2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^3 - 1))","A",0
175,0,0,0,0.000000," ","integrate(x/(x^6-x^3+1),x, algorithm=""maxima"")","\int \frac{x}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"integrate(x/(x^6 - x^3 + 1), x)","F",0
176,0,0,0,0.000000," ","integrate(1/(x^6-x^3+1),x, algorithm=""maxima"")","\int \frac{1}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"integrate(1/(x^6 - x^3 + 1), x)","F",0
177,1,38,0,1.447275," ","integrate(1/x/(x^6-x^3+1),x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{3} - 1\right)}\right) - \frac{1}{6} \, \log\left(x^{6} - x^{3} + 1\right) + \frac{1}{3} \, \log\left(x^{3}\right)"," ",0,"1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^3 - 1)) - 1/6*log(x^6 - x^3 + 1) + 1/3*log(x^3)","A",0
178,0,0,0,0.000000," ","integrate(1/x^2/(x^6-x^3+1),x, algorithm=""maxima"")","-\frac{1}{x} - \int \frac{x^{4} - x}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"-1/x - integrate((x^4 - x)/(x^6 - x^3 + 1), x)","F",0
179,0,0,0,0.000000," ","integrate(1/x^3/(x^6-x^3+1),x, algorithm=""maxima"")","-\frac{1}{2 \, x^{2}} - \int \frac{x^{3} - 1}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"-1/2/x^2 - integrate((x^3 - 1)/(x^6 - x^3 + 1), x)","F",0
180,1,43,0,1.130160," ","integrate(1/x^4/(x^6-x^3+1),x, algorithm=""maxima"")","-\frac{1}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{3} - 1\right)}\right) - \frac{1}{3 \, x^{3}} - \frac{1}{6} \, \log\left(x^{6} - x^{3} + 1\right) + \frac{1}{3} \, \log\left(x^{3}\right)"," ",0,"-1/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^3 - 1)) - 1/3/x^3 - 1/6*log(x^6 - x^3 + 1) + 1/3*log(x^3)","A",0
181,0,0,0,0.000000," ","integrate(1/x^5/(x^6-x^3+1),x, algorithm=""maxima"")","-\frac{4 \, x^{3} + 1}{4 \, x^{4}} - \int \frac{x^{4}}{x^{6} - x^{3} + 1}\,{d x}"," ",0,"-1/4*(4*x^3 + 1)/x^4 - integrate(x^4/(x^6 - x^3 + 1), x)","F",0
182,0,0,0,0.000000," ","integrate(1/(x^6+x^3+2),x, algorithm=""maxima"")","\int \frac{1}{x^{6} + x^{3} + 2}\,{d x}"," ",0,"integrate(1/(x^6 + x^3 + 2), x)","F",0
183,1,18,0,1.360048," ","integrate(x^2/(x^6+x^3+2),x, algorithm=""maxima"")","\frac{2}{21} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(2 \, x^{3} + 1\right)}\right)"," ",0,"2/21*sqrt(7)*arctan(1/7*sqrt(7)*(2*x^3 + 1))","A",0
184,0,0,0,0.000000," ","integrate(x^3/(x^6+x^3+2),x, algorithm=""maxima"")","\int \frac{x^{3}}{x^{6} + x^{3} + 2}\,{d x}"," ",0,"integrate(x^3/(x^6 + x^3 + 2), x)","F",0
185,-2,0,0,0.000000," ","integrate(x^14*(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
186,-2,0,0,0.000000," ","integrate(x^11*(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
187,-2,0,0,0.000000," ","integrate(x^8*(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
188,-2,0,0,0.000000," ","integrate(x^5*(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
189,-2,0,0,0.000000," ","integrate(x^2*(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
190,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(1/2)/x,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
191,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(1/2)/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
192,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(1/2)/x^7,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
193,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(1/2)/x^10,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
194,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(1/2)/x^13,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
195,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(1/2)/x^16,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
196,0,0,0,0.000000," ","integrate(x^3*(c*x^6+b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{6} + b x^{3} + a} x^{3}\,{d x}"," ",0,"integrate(sqrt(c*x^6 + b*x^3 + a)*x^3, x)","F",0
197,0,0,0,0.000000," ","integrate(x*(c*x^6+b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{6} + b x^{3} + a} x\,{d x}"," ",0,"integrate(sqrt(c*x^6 + b*x^3 + a)*x, x)","F",0
198,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{6} + b x^{3} + a}\,{d x}"," ",0,"integrate(sqrt(c*x^6 + b*x^3 + a), x)","F",0
199,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{6} + b x^{3} + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^6 + b*x^3 + a)/x^2, x)","F",0
200,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{6} + b x^{3} + a}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(c*x^6 + b*x^3 + a)/x^3, x)","F",0
201,-2,0,0,0.000000," ","integrate(x^14*(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
202,-2,0,0,0.000000," ","integrate(x^11*(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
203,-2,0,0,0.000000," ","integrate(x^8*(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
204,-2,0,0,0.000000," ","integrate(x^5*(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
205,-2,0,0,0.000000," ","integrate(x^2*(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
206,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(3/2)/x,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
207,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
208,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(3/2)/x^7,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
209,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(3/2)/x^10,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
210,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(3/2)/x^13,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
211,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(3/2)/x^16,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
212,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(3/2)/x^19,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
213,-2,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(3/2)/x^22,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
214,0,0,0,0.000000," ","integrate(x^3*(c*x^6+b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)}^{\frac{3}{2}} x^{3}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^(3/2)*x^3, x)","F",0
215,0,0,0,0.000000," ","integrate(x*(c*x^6+b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)}^{\frac{3}{2}} x\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^(3/2)*x, x)","F",0
216,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^(3/2), x)","F",0
217,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{6} + b x^{3} + a\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^(3/2)/x^2, x)","F",0
218,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^(3/2)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{6} + b x^{3} + a\right)}^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^(3/2)/x^3, x)","F",0
219,-2,0,0,0.000000," ","integrate(x^14/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
220,-2,0,0,0.000000," ","integrate(x^11/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
221,-2,0,0,0.000000," ","integrate(x^8/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
222,-2,0,0,0.000000," ","integrate(x^5/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
223,-2,0,0,0.000000," ","integrate(x^2/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
224,-2,0,0,0.000000," ","integrate(1/x/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
225,-2,0,0,0.000000," ","integrate(1/x^4/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
226,-2,0,0,0.000000," ","integrate(1/x^7/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
227,-2,0,0,0.000000," ","integrate(1/x^10/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
228,-2,0,0,0.000000," ","integrate(1/x^13/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
229,0,0,0,0.000000," ","integrate(x^3/(c*x^6+b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{c x^{6} + b x^{3} + a}}\,{d x}"," ",0,"integrate(x^3/sqrt(c*x^6 + b*x^3 + a), x)","F",0
230,0,0,0,0.000000," ","integrate(x/(c*x^6+b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{c x^{6} + b x^{3} + a}}\,{d x}"," ",0,"integrate(x/sqrt(c*x^6 + b*x^3 + a), x)","F",0
231,0,0,0,0.000000," ","integrate(1/(c*x^6+b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{6} + b x^{3} + a}}\,{d x}"," ",0,"integrate(1/sqrt(c*x^6 + b*x^3 + a), x)","F",0
232,0,0,0,0.000000," ","integrate(1/x^2/(c*x^6+b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{6} + b x^{3} + a} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^6 + b*x^3 + a)*x^2), x)","F",0
233,0,0,0,0.000000," ","integrate(1/x^3/(c*x^6+b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{6} + b x^{3} + a} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^6 + b*x^3 + a)*x^3), x)","F",0
234,-2,0,0,0.000000," ","integrate(x^14/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
235,-2,0,0,0.000000," ","integrate(x^11/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
236,-2,0,0,0.000000," ","integrate(x^8/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
237,-2,0,0,0.000000," ","integrate(x^5/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
238,-2,0,0,0.000000," ","integrate(x^2/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 zero or nonzero?","F(-2)",0
239,-2,0,0,0.000000," ","integrate(1/x/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
240,-2,0,0,0.000000," ","integrate(1/x^4/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
241,-2,0,0,0.000000," ","integrate(1/x^7/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
242,-2,0,0,0.000000," ","integrate(1/x^10/(c*x^6+b*x^3+a)^(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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive, negative or zero?","F(-2)",0
243,0,0,0,0.000000," ","integrate(x^3/(c*x^6+b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(c x^{6} + b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/(c*x^6 + b*x^3 + a)^(3/2), x)","F",0
244,0,0,0,0.000000," ","integrate(x/(c*x^6+b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(c x^{6} + b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(c*x^6 + b*x^3 + a)^(3/2), x)","F",0
245,0,0,0,0.000000," ","integrate(1/(c*x^6+b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{6} + b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^(-3/2), x)","F",0
246,0,0,0,0.000000," ","integrate(1/x^2/(c*x^6+b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{6} + b x^{3} + a\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((c*x^6 + b*x^3 + a)^(3/2)*x^2), x)","F",0
247,0,0,0,0.000000," ","integrate(1/x^3/(c*x^6+b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{6} + b x^{3} + a\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate(1/((c*x^6 + b*x^3 + a)^(3/2)*x^3), x)","F",0
248,1,110,0,1.102021," ","integrate((d*x)^m*(c*x^6+b*x^3+a)^2,x, algorithm=""maxima"")","\frac{c^{2} d^{m} x^{13} x^{m}}{m + 13} + \frac{2 \, b c d^{m} x^{10} x^{m}}{m + 10} + \frac{b^{2} d^{m} x^{7} x^{m}}{m + 7} + \frac{2 \, a c d^{m} x^{7} x^{m}}{m + 7} + \frac{2 \, a b d^{m} x^{4} x^{m}}{m + 4} + \frac{\left(d x\right)^{m + 1} a^{2}}{d {\left(m + 1\right)}}"," ",0,"c^2*d^m*x^13*x^m/(m + 13) + 2*b*c*d^m*x^10*x^m/(m + 10) + b^2*d^m*x^7*x^m/(m + 7) + 2*a*c*d^m*x^7*x^m/(m + 7) + 2*a*b*d^m*x^4*x^m/(m + 4) + (d*x)^(m + 1)*a^2/(d*(m + 1))","A",0
249,1,50,0,1.162868," ","integrate((d*x)^m*(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\frac{c d^{m} x^{7} x^{m}}{m + 7} + \frac{b d^{m} x^{4} x^{m}}{m + 4} + \frac{\left(d x\right)^{m + 1} a}{d {\left(m + 1\right)}}"," ",0,"c*d^m*x^7*x^m/(m + 7) + b*d^m*x^4*x^m/(m + 4) + (d*x)^(m + 1)*a/(d*(m + 1))","A",0
250,0,0,0,0.000000," ","integrate((d*x)^m/(c*x^6+b*x^3+a),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{c x^{6} + b x^{3} + a}\,{d x}"," ",0,"integrate((d*x)^m/(c*x^6 + b*x^3 + a), x)","F",0
251,0,0,0,0.000000," ","integrate((d*x)^m/(c*x^6+b*x^3+a)^2,x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{{\left(c x^{6} + b x^{3} + a\right)}^{2}}\,{d x}"," ",0,"integrate((d*x)^m/(c*x^6 + b*x^3 + a)^2, x)","F",0
252,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^6+b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)}^{\frac{3}{2}} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^(3/2)*(d*x)^m, x)","F",0
253,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^6+b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{6} + b x^{3} + a} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^6 + b*x^3 + a)*(d*x)^m, x)","F",0
254,0,0,0,0.000000," ","integrate((d*x)^m/(c*x^6+b*x^3+a)^(1/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{\sqrt{c x^{6} + b x^{3} + a}}\,{d x}"," ",0,"integrate((d*x)^m/sqrt(c*x^6 + b*x^3 + a), x)","F",0
255,0,0,0,0.000000," ","integrate((d*x)^m/(c*x^6+b*x^3+a)^(3/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{{\left(c x^{6} + b x^{3} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x)^m/(c*x^6 + b*x^3 + a)^(3/2), x)","F",0
256,0,0,0,0.000000," ","integrate((d*x)^m*(c*x^6+b*x^3+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)}^{p} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p*(d*x)^m, x)","F",0
257,0,0,0,0.000000," ","integrate(x^8*(c*x^6+b*x^3+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)}^{p} x^{8}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p*x^8, x)","F",0
258,0,0,0,0.000000," ","integrate(x^5*(c*x^6+b*x^3+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)}^{p} x^{5}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p*x^5, x)","F",0
259,0,0,0,0.000000," ","integrate(x^2*(c*x^6+b*x^3+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p*x^2, x)","F",0
260,0,0,0,0.000000," ","integrate(x^4*(c*x^6+b*x^3+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)}^{p} x^{4}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p*x^4, x)","F",0
261,0,0,0,0.000000," ","integrate(x^3*(c*x^6+b*x^3+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)}^{p} x^{3}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p*x^3, x)","F",0
262,0,0,0,0.000000," ","integrate(x*(c*x^6+b*x^3+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)}^{p} x\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p*x, x)","F",0
263,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{6} + b x^{3} + a\right)}^{p}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p, x)","F",0
264,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^p/x,x, algorithm=""maxima"")","\int \frac{{\left(c x^{6} + b x^{3} + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p/x, x)","F",0
265,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{6} + b x^{3} + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p/x^2, x)","F",0
266,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^p/x^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{6} + b x^{3} + a\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p/x^3, x)","F",0
267,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^p/x^4,x, algorithm=""maxima"")","\int \frac{{\left(c x^{6} + b x^{3} + a\right)}^{p}}{x^{4}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p/x^4, x)","F",0
268,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^p/x^5,x, algorithm=""maxima"")","\int \frac{{\left(c x^{6} + b x^{3} + a\right)}^{p}}{x^{5}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p/x^5, x)","F",0
269,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^p/x^6,x, algorithm=""maxima"")","\int \frac{{\left(c x^{6} + b x^{3} + a\right)}^{p}}{x^{6}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p/x^6, x)","F",0
270,0,0,0,0.000000," ","integrate((c*x^6+b*x^3+a)^p/x^7,x, algorithm=""maxima"")","\int \frac{{\left(c x^{6} + b x^{3} + a\right)}^{p}}{x^{7}}\,{d x}"," ",0,"integrate((c*x^6 + b*x^3 + a)^p/x^7, x)","F",0
271,0,0,0,0.000000," ","integrate(x^m/(x^8+2*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{m}}{x^{8} + 2 \, x^{4} + 1}\,{d x}"," ",0,"integrate(x^m/(x^8 + 2*x^4 + 1), x)","F",0
272,1,24,0,2.155914," ","integrate(x^9/(x^8+2*x^4+1),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + \frac{x^{2}}{4 \, {\left(x^{4} + 1\right)}} - \frac{3}{4} \, \arctan\left(x^{2}\right)"," ",0,"1/2*x^2 + 1/4*x^2/(x^4 + 1) - 3/4*arctan(x^2)","A",0
273,1,18,0,0.983658," ","integrate(x^7/(x^8+2*x^4+1),x, algorithm=""maxima"")","\frac{1}{4 \, {\left(x^{4} + 1\right)}} + \frac{1}{4} \, \log\left(x^{4} + 1\right)"," ",0,"1/4/(x^4 + 1) + 1/4*log(x^4 + 1)","A",0
274,1,19,0,2.015238," ","integrate(x^5/(x^8+2*x^4+1),x, algorithm=""maxima"")","-\frac{x^{2}}{4 \, {\left(x^{4} + 1\right)}} + \frac{1}{4} \, \arctan\left(x^{2}\right)"," ",0,"-1/4*x^2/(x^4 + 1) + 1/4*arctan(x^2)","A",0
275,1,9,0,0.887284," ","integrate(x^3/(x^8+2*x^4+1),x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(x^{4} + 1\right)}}"," ",0,"-1/4/(x^4 + 1)","A",0
276,1,19,0,2.173134," ","integrate(x/(x^8+2*x^4+1),x, algorithm=""maxima"")","\frac{x^{2}}{4 \, {\left(x^{4} + 1\right)}} + \frac{1}{4} \, \arctan\left(x^{2}\right)"," ",0,"1/4*x^2/(x^4 + 1) + 1/4*arctan(x^2)","A",0
277,1,24,0,0.973797," ","integrate(1/x/(x^8+2*x^4+1),x, algorithm=""maxima"")","\frac{1}{4 \, {\left(x^{4} + 1\right)}} - \frac{1}{4} \, \log\left(x^{4} + 1\right) + \frac{1}{4} \, \log\left(x^{4}\right)"," ",0,"1/4/(x^4 + 1) - 1/4*log(x^4 + 1) + 1/4*log(x^4)","A",0
278,1,25,0,1.976183," ","integrate(1/x^3/(x^8+2*x^4+1),x, algorithm=""maxima"")","-\frac{3 \, x^{4} + 2}{4 \, {\left(x^{6} + x^{2}\right)}} - \frac{3}{4} \, \arctan\left(x^{2}\right)"," ",0,"-1/4*(3*x^4 + 2)/(x^6 + x^2) - 3/4*arctan(x^2)","A",0
279,1,33,0,0.877276," ","integrate(1/x^5/(x^8+2*x^4+1),x, algorithm=""maxima"")","-\frac{2 \, x^{4} + 1}{4 \, {\left(x^{8} + x^{4}\right)}} + \frac{1}{2} \, \log\left(x^{4} + 1\right) - \frac{1}{2} \, \log\left(x^{4}\right)"," ",0,"-1/4*(2*x^4 + 1)/(x^8 + x^4) + 1/2*log(x^4 + 1) - 1/2*log(x^4)","A",0
280,1,30,0,2.487039," ","integrate(1/x^7/(x^8+2*x^4+1),x, algorithm=""maxima"")","\frac{15 \, x^{8} + 10 \, x^{4} - 2}{12 \, {\left(x^{10} + x^{6}\right)}} + \frac{5}{4} \, \arctan\left(x^{2}\right)"," ",0,"1/12*(15*x^8 + 10*x^4 - 2)/(x^10 + x^6) + 5/4*arctan(x^2)","A",0
281,1,83,0,2.022310," ","integrate(x^8/(x^8+2*x^4+1),x, algorithm=""maxima"")","-\frac{5}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) - \frac{5}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) - \frac{5}{32} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{5}{32} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) + x + \frac{x}{4 \, {\left(x^{4} + 1\right)}}"," ",0,"-5/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) - 5/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) - 5/32*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 5/32*sqrt(2)*log(x^2 - sqrt(2)*x + 1) + x + 1/4*x/(x^4 + 1)","A",0
282,1,84,0,2.074658," ","integrate(x^6/(x^8+2*x^4+1),x, algorithm=""maxima"")","-\frac{x^{3}}{4 \, {\left(x^{4} + 1\right)}} + \frac{3}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{3}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) - \frac{3}{32} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{3}{32} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right)"," ",0,"-1/4*x^3/(x^4 + 1) + 3/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 3/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) - 3/32*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 3/32*sqrt(2)*log(x^2 - sqrt(2)*x + 1)","A",0
283,1,82,0,1.986094," ","integrate(x^4/(x^8+2*x^4+1),x, algorithm=""maxima"")","\frac{1}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{1}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) + \frac{1}{32} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{1}{32} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) - \frac{x}{4 \, {\left(x^{4} + 1\right)}}"," ",0,"1/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 1/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) + 1/32*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 1/32*sqrt(2)*log(x^2 - sqrt(2)*x + 1) - 1/4*x/(x^4 + 1)","A",0
284,1,84,0,2.064952," ","integrate(x^2/(x^8+2*x^4+1),x, algorithm=""maxima"")","\frac{x^{3}}{4 \, {\left(x^{4} + 1\right)}} + \frac{1}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{1}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) - \frac{1}{32} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{1}{32} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right)"," ",0,"1/4*x^3/(x^4 + 1) + 1/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 1/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) - 1/32*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 1/32*sqrt(2)*log(x^2 - sqrt(2)*x + 1)","A",0
285,1,82,0,2.002396," ","integrate(1/(x^8+2*x^4+1),x, algorithm=""maxima"")","\frac{3}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{3}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) + \frac{3}{32} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{3}{32} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) + \frac{x}{4 \, {\left(x^{4} + 1\right)}}"," ",0,"3/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 3/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) + 3/32*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 3/32*sqrt(2)*log(x^2 - sqrt(2)*x + 1) + 1/4*x/(x^4 + 1)","A",0
286,1,88,0,2.025370," ","integrate(1/x^2/(x^8+2*x^4+1),x, algorithm=""maxima"")","-\frac{5}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) - \frac{5}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) + \frac{5}{32} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{5}{32} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) - \frac{5 \, x^{4} + 4}{4 \, {\left(x^{5} + x\right)}}"," ",0,"-5/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) - 5/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) + 5/32*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 5/32*sqrt(2)*log(x^2 - sqrt(2)*x + 1) - 1/4*(5*x^4 + 4)/(x^5 + x)","A",0
287,1,90,0,2.198455," ","integrate(1/x^4/(x^8+2*x^4+1),x, algorithm=""maxima"")","-\frac{7}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) - \frac{7}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) - \frac{7}{32} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{7}{32} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) - \frac{7 \, x^{4} + 4}{12 \, {\left(x^{7} + x^{3}\right)}}"," ",0,"-7/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) - 7/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) - 7/32*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 7/32*sqrt(2)*log(x^2 - sqrt(2)*x + 1) - 1/12*(7*x^4 + 4)/(x^7 + x^3)","A",0
288,1,95,0,2.012328," ","integrate(1/x^6/(x^8+2*x^4+1),x, algorithm=""maxima"")","\frac{9}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{9}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) - \frac{9}{32} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) + \frac{9}{32} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) + \frac{45 \, x^{8} + 36 \, x^{4} - 4}{20 \, {\left(x^{9} + x^{5}\right)}}"," ",0,"9/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 9/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) - 9/32*sqrt(2)*log(x^2 + sqrt(2)*x + 1) + 9/32*sqrt(2)*log(x^2 - sqrt(2)*x + 1) + 1/20*(45*x^8 + 36*x^4 - 4)/(x^9 + x^5)","A",0
289,1,95,0,1.932358," ","integrate(1/x^8/(x^8+2*x^4+1),x, algorithm=""maxima"")","\frac{11}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{11}{16} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) + \frac{11}{32} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{11}{32} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right) + \frac{77 \, x^{8} + 44 \, x^{4} - 12}{84 \, {\left(x^{11} + x^{7}\right)}}"," ",0,"11/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 11/16*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) + 11/32*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 11/32*sqrt(2)*log(x^2 - sqrt(2)*x + 1) + 1/84*(77*x^8 + 44*x^4 - 12)/(x^11 + x^7)","A",0
290,0,0,0,0.000000," ","integrate(x^m/(x^8-2*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{m}}{x^{8} - 2 \, x^{4} + 1}\,{d x}"," ",0,"integrate(x^m/(x^8 - 2*x^4 + 1), x)","F",0
291,1,34,0,1.032347," ","integrate(x^9/(x^8-2*x^4+1),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{x^{2}}{4 \, {\left(x^{4} - 1\right)}} - \frac{3}{8} \, \log\left(x^{2} + 1\right) + \frac{3}{8} \, \log\left(x^{2} - 1\right)"," ",0,"1/2*x^2 - 1/4*x^2/(x^4 - 1) - 3/8*log(x^2 + 1) + 3/8*log(x^2 - 1)","A",0
292,1,18,0,1.128121," ","integrate(x^7/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(x^{4} - 1\right)}} + \frac{1}{4} \, \log\left(x^{4} - 1\right)"," ",0,"-1/4/(x^4 - 1) + 1/4*log(x^4 - 1)","A",0
293,1,29,0,0.913531," ","integrate(x^5/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{x^{2}}{4 \, {\left(x^{4} - 1\right)}} - \frac{1}{8} \, \log\left(x^{2} + 1\right) + \frac{1}{8} \, \log\left(x^{2} - 1\right)"," ",0,"-1/4*x^2/(x^4 - 1) - 1/8*log(x^2 + 1) + 1/8*log(x^2 - 1)","A",0
294,1,9,0,0.884473," ","integrate(x^3/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(x^{4} - 1\right)}}"," ",0,"-1/4/(x^4 - 1)","A",0
295,1,29,0,0.917917," ","integrate(x/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{x^{2}}{4 \, {\left(x^{4} - 1\right)}} + \frac{1}{8} \, \log\left(x^{2} + 1\right) - \frac{1}{8} \, \log\left(x^{2} - 1\right)"," ",0,"-1/4*x^2/(x^4 - 1) + 1/8*log(x^2 + 1) - 1/8*log(x^2 - 1)","A",0
296,1,24,0,0.942523," ","integrate(1/x/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(x^{4} - 1\right)}} - \frac{1}{4} \, \log\left(x^{4} - 1\right) + \frac{1}{4} \, \log\left(x^{4}\right)"," ",0,"-1/4/(x^4 - 1) - 1/4*log(x^4 - 1) + 1/4*log(x^4)","A",0
297,1,37,0,0.952814," ","integrate(1/x^3/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{3 \, x^{4} - 2}{4 \, {\left(x^{6} - x^{2}\right)}} + \frac{3}{8} \, \log\left(x^{2} + 1\right) - \frac{3}{8} \, \log\left(x^{2} - 1\right)"," ",0,"-1/4*(3*x^4 - 2)/(x^6 - x^2) + 3/8*log(x^2 + 1) - 3/8*log(x^2 - 1)","A",0
298,1,35,0,0.828045," ","integrate(1/x^5/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{2 \, x^{4} - 1}{4 \, {\left(x^{8} - x^{4}\right)}} - \frac{1}{2} \, \log\left(x^{4} - 1\right) + \frac{1}{2} \, \log\left(x^{4}\right)"," ",0,"-1/4*(2*x^4 - 1)/(x^8 - x^4) - 1/2*log(x^4 - 1) + 1/2*log(x^4)","A",0
299,1,42,0,0.937431," ","integrate(1/x^7/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{15 \, x^{8} - 10 \, x^{4} - 2}{12 \, {\left(x^{10} - x^{6}\right)}} + \frac{5}{8} \, \log\left(x^{2} + 1\right) - \frac{5}{8} \, \log\left(x^{2} - 1\right)"," ",0,"-1/12*(15*x^8 - 10*x^4 - 2)/(x^10 - x^6) + 5/8*log(x^2 + 1) - 5/8*log(x^2 - 1)","A",0
300,1,28,0,2.126610," ","integrate(x^8/(x^8-2*x^4+1),x, algorithm=""maxima"")","x - \frac{x}{4 \, {\left(x^{4} - 1\right)}} - \frac{5}{8} \, \arctan\left(x\right) - \frac{5}{16} \, \log\left(x + 1\right) + \frac{5}{16} \, \log\left(x - 1\right)"," ",0,"x - 1/4*x/(x^4 - 1) - 5/8*arctan(x) - 5/16*log(x + 1) + 5/16*log(x - 1)","A",0
301,1,29,0,2.026952," ","integrate(x^6/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{x^{3}}{4 \, {\left(x^{4} - 1\right)}} + \frac{3}{8} \, \arctan\left(x\right) - \frac{3}{16} \, \log\left(x + 1\right) + \frac{3}{16} \, \log\left(x - 1\right)"," ",0,"-1/4*x^3/(x^4 - 1) + 3/8*arctan(x) - 3/16*log(x + 1) + 3/16*log(x - 1)","A",0
302,1,27,0,1.918243," ","integrate(x^4/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{x}{4 \, {\left(x^{4} - 1\right)}} - \frac{1}{8} \, \arctan\left(x\right) - \frac{1}{16} \, \log\left(x + 1\right) + \frac{1}{16} \, \log\left(x - 1\right)"," ",0,"-1/4*x/(x^4 - 1) - 1/8*arctan(x) - 1/16*log(x + 1) + 1/16*log(x - 1)","A",0
303,1,29,0,1.711339," ","integrate(x^2/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{x^{3}}{4 \, {\left(x^{4} - 1\right)}} - \frac{1}{8} \, \arctan\left(x\right) + \frac{1}{16} \, \log\left(x + 1\right) - \frac{1}{16} \, \log\left(x - 1\right)"," ",0,"-1/4*x^3/(x^4 - 1) - 1/8*arctan(x) + 1/16*log(x + 1) - 1/16*log(x - 1)","A",0
304,1,27,0,2.132199," ","integrate(1/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{x}{4 \, {\left(x^{4} - 1\right)}} + \frac{3}{8} \, \arctan\left(x\right) + \frac{3}{16} \, \log\left(x + 1\right) - \frac{3}{16} \, \log\left(x - 1\right)"," ",0,"-1/4*x/(x^4 - 1) + 3/8*arctan(x) + 3/16*log(x + 1) - 3/16*log(x - 1)","A",0
305,1,35,0,2.086467," ","integrate(1/x^2/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{5 \, x^{4} - 4}{4 \, {\left(x^{5} - x\right)}} - \frac{5}{8} \, \arctan\left(x\right) + \frac{5}{16} \, \log\left(x + 1\right) - \frac{5}{16} \, \log\left(x - 1\right)"," ",0,"-1/4*(5*x^4 - 4)/(x^5 - x) - 5/8*arctan(x) + 5/16*log(x + 1) - 5/16*log(x - 1)","A",0
306,1,37,0,1.982757," ","integrate(1/x^4/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{7 \, x^{4} - 4}{12 \, {\left(x^{7} - x^{3}\right)}} + \frac{7}{8} \, \arctan\left(x\right) + \frac{7}{16} \, \log\left(x + 1\right) - \frac{7}{16} \, \log\left(x - 1\right)"," ",0,"-1/12*(7*x^4 - 4)/(x^7 - x^3) + 7/8*arctan(x) + 7/16*log(x + 1) - 7/16*log(x - 1)","A",0
307,1,42,0,2.433992," ","integrate(1/x^6/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{45 \, x^{8} - 36 \, x^{4} - 4}{20 \, {\left(x^{9} - x^{5}\right)}} - \frac{9}{8} \, \arctan\left(x\right) + \frac{9}{16} \, \log\left(x + 1\right) - \frac{9}{16} \, \log\left(x - 1\right)"," ",0,"-1/20*(45*x^8 - 36*x^4 - 4)/(x^9 - x^5) - 9/8*arctan(x) + 9/16*log(x + 1) - 9/16*log(x - 1)","A",0
308,1,42,0,1.939622," ","integrate(1/x^8/(x^8-2*x^4+1),x, algorithm=""maxima"")","-\frac{77 \, x^{8} - 44 \, x^{4} - 12}{84 \, {\left(x^{11} - x^{7}\right)}} + \frac{11}{8} \, \arctan\left(x\right) + \frac{11}{16} \, \log\left(x + 1\right) - \frac{11}{16} \, \log\left(x - 1\right)"," ",0,"-1/84*(77*x^8 - 44*x^4 - 12)/(x^11 - x^7) + 11/8*arctan(x) + 11/16*log(x + 1) - 11/16*log(x - 1)","A",0
309,0,0,0,0.000000," ","integrate(x^m/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\int \frac{x^{m}}{c x^{8} + b x^{4} + a}\,{d x}"," ",0,"integrate(x^m/(c*x^8 + b*x^4 + a), x)","F",0
310,-2,0,0,0.000000," ","integrate(x^11/(c*x^8+b*x^4+a),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
311,0,0,0,0.000000," ","integrate(x^9/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\frac{x^{2}}{2 \, c} - \frac{\frac{{\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c - 2 \, b^{4} c + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{2} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} + 16 \, a b^{2} c^{2} - 2 \, b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{3} - 32 \, a^{2} c^{3} + 8 \, a b c^{3} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c - 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b c^{2}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x^{2}}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{8 \, {\left(b^{4} - 8 \, a b^{2} c - 2 \, b^{3} c + 16 \, a^{2} c^{2} + 8 \, a b c^{2} + b^{2} c^{2} - 4 \, a c^{3}\right)} c} + \frac{{\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c + 2 \, b^{4} c + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{2} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} - 16 \, a b^{2} c^{2} + 2 \, b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{3} + 32 \, a^{2} c^{3} - 8 \, a b c^{3} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c + 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} b c^{2}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x^{2}}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{8 \, {\left(b^{4} - 8 \, a b^{2} c - 2 \, b^{3} c + 16 \, a^{2} c^{2} + 8 \, a b c^{2} + b^{2} c^{2} - 4 \, a c^{3}\right)} c}}{c}"," ",0,"1/2*x^2/c - integrate((b*x^4 + a)*x/(c*x^8 + b*x^4 + a), x)/c","F",0
312,-2,0,0,0.000000," ","integrate(x^7/(c*x^8+b*x^4+a),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
313,0,0,0,0.000000," ","integrate(x^5/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\int \frac{x^{5}}{c x^{8} + b x^{4} + a}\,{d x}"," ",0,"integrate(x^5/(c*x^8 + b*x^4 + a), x)","F",0
314,-2,0,0,0.000000," ","integrate(x^3/(c*x^8+b*x^4+a),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
315,0,0,0,0.000000," ","integrate(x/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\int \frac{x}{c x^{8} + b x^{4} + a}\,{d x}"," ",0,"integrate(x/(c*x^8 + b*x^4 + a), x)","F",0
316,-2,0,0,0.000000," ","integrate(1/x/(c*x^8+b*x^4+a),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
317,0,0,0,0.000000," ","integrate(1/x^3/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","-\frac{\frac{{\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 2 \, b^{5} c + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 16 \, a b^{3} c^{2} + 2 \, b^{4} c^{2} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} - 32 \, a^{2} b c^{3} - 12 \, a b^{2} c^{3} + 16 \, a^{2} c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} + 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{2} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c - 8 \, {\left(b^{2} - 4 \, a c\right)} a b c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{2} + 4 \, {\left(b^{2} - 4 \, a c\right)} a c^{3}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x^{2}}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{8 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c} + \frac{{\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c + 2 \, b^{5} c + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 16 \, a b^{3} c^{2} - 2 \, b^{4} c^{2} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + 32 \, a^{2} b c^{3} + 12 \, a b^{2} c^{3} - 16 \, a^{2} c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{2} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c + 8 \, {\left(b^{2} - 4 \, a c\right)} a b c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{2} - 4 \, {\left(b^{2} - 4 \, a c\right)} a c^{3}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x^{2}}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{8 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c - 2 \, a b^{3} c + 16 \, a^{3} c^{2} + 8 \, a^{2} b c^{2} + a b^{2} c^{2} - 4 \, a^{2} c^{3}\right)} c}}{a} - \frac{1}{2 \, a x^{2}}"," ",0,"-integrate((c*x^4 + b)*x/(c*x^8 + b*x^4 + a), x)/a - 1/2/(a*x^2)","F",0
318,-2,0,0,0.000000," ","integrate(1/x^5/(c*x^8+b*x^4+a),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
319,-1,0,0,0.000000," ","integrate(x^10/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
320,0,0,0,0.000000," ","integrate(x^8/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\frac{x}{c} - \frac{\int \frac{b x^{4} + a}{c x^{8} + b x^{4} + a}\,{d x}}{c}"," ",0,"x/c - integrate((b*x^4 + a)/(c*x^8 + b*x^4 + a), x)/c","F",0
321,0,0,0,0.000000," ","integrate(x^6/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\int \frac{x^{6}}{c x^{8} + b x^{4} + a}\,{d x}"," ",0,"integrate(x^6/(c*x^8 + b*x^4 + a), x)","F",0
322,0,0,0,0.000000," ","integrate(x^4/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\int \frac{x^{4}}{c x^{8} + b x^{4} + a}\,{d x}"," ",0,"integrate(x^4/(c*x^8 + b*x^4 + a), x)","F",0
323,0,0,0,0.000000," ","integrate(x^2/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\int \frac{x^{2}}{c x^{8} + b x^{4} + a}\,{d x}"," ",0,"integrate(x^2/(c*x^8 + b*x^4 + a), x)","F",0
324,0,0,0,0.000000," ","integrate(1/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\int \frac{1}{c x^{8} + b x^{4} + a}\,{d x}"," ",0,"integrate(1/(c*x^8 + b*x^4 + a), x)","F",0
325,-1,0,0,0.000000," ","integrate(1/x^2/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
326,-1,0,0,0.000000," ","integrate(1/x^4/(c*x^8+b*x^4+a),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
327,0,0,0,0.000000," ","integrate(x^m/(x^8+x^4+1),x, algorithm=""maxima"")","\int \frac{x^{m}}{x^{8} + x^{4} + 1}\,{d x}"," ",0,"integrate(x^m/(x^8 + x^4 + 1), x)","F",0
328,1,35,0,2.423114," ","integrate(x^11/(x^8+x^4+1),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} - \frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} + 1\right)}\right) - \frac{1}{8} \, \log\left(x^{8} + x^{4} + 1\right)"," ",0,"1/4*x^4 - 1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 + 1)) - 1/8*log(x^8 + x^4 + 1)","A",0
329,1,42,0,2.394461," ","integrate(x^9/(x^8+x^4+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}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - 1\right)}\right)"," ",0,"1/2*x^2 - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 + 1)) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - 1))","A",0
330,1,30,0,2.434563," ","integrate(x^7/(x^8+x^4+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} + 1\right)}\right) + \frac{1}{8} \, \log\left(x^{8} + x^{4} + 1\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 + 1)) + 1/8*log(x^8 + x^4 + 1)","A",0
331,1,61,0,2.490340," ","integrate(x^5/(x^8+x^4+1),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} + 1\right)}\right) + \frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - 1\right)}\right) - \frac{1}{8} \, \log\left(x^{4} + x^{2} + 1\right) + \frac{1}{8} \, \log\left(x^{4} - x^{2} + 1\right)"," ",0,"1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 + 1)) + 1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - 1)) - 1/8*log(x^4 + x^2 + 1) + 1/8*log(x^4 - x^2 + 1)","A",0
332,1,18,0,2.470388," ","integrate(x^3/(x^8+x^4+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} + 1\right)}\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 + 1))","A",0
333,1,61,0,2.588665," ","integrate(x/(x^8+x^4+1),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} + 1\right)}\right) + \frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - 1\right)}\right) + \frac{1}{8} \, \log\left(x^{4} + x^{2} + 1\right) - \frac{1}{8} \, \log\left(x^{4} - x^{2} + 1\right)"," ",0,"1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 + 1)) + 1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - 1)) + 1/8*log(x^4 + x^2 + 1) - 1/8*log(x^4 - x^2 + 1)","A",0
334,1,36,0,3.047062," ","integrate(1/x/(x^8+x^4+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} + 1\right)}\right) - \frac{1}{8} \, \log\left(x^{8} + x^{4} + 1\right) + \frac{1}{4} \, \log\left(x^{4}\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 + 1)) - 1/8*log(x^8 + x^4 + 1) + 1/4*log(x^4)","A",0
335,1,42,0,2.392109," ","integrate(1/x^3/(x^8+x^4+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}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - 1\right)}\right) - \frac{1}{2 \, x^{2}}"," ",0,"-1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 + 1)) - 1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - 1)) - 1/2/x^2","A",0
336,1,41,0,2.790953," ","integrate(1/x^5/(x^8+x^4+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} + 1\right)}\right) - \frac{1}{4 \, x^{4}} + \frac{1}{8} \, \log\left(x^{8} + x^{4} + 1\right) - \frac{1}{4} \, \log\left(x^{4}\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 + 1)) - 1/4/x^4 + 1/8*log(x^8 + x^4 + 1) - 1/4*log(x^4)","A",0
337,1,73,0,2.371948," ","integrate(1/x^7/(x^8+x^4+1),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} + 1\right)}\right) + \frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} - 1\right)}\right) + \frac{3 \, x^{4} - 1}{6 \, x^{6}} - \frac{1}{8} \, \log\left(x^{4} + x^{2} + 1\right) + \frac{1}{8} \, \log\left(x^{4} - x^{2} + 1\right)"," ",0,"1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 + 1)) + 1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 - 1)) + 1/6*(3*x^4 - 1)/x^6 - 1/8*log(x^4 + x^2 + 1) + 1/8*log(x^4 - x^2 + 1)","A",0
338,0,0,0,0.000000," ","integrate(x^8/(x^8+x^4+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + x - \frac{1}{2} \, \int \frac{1}{x^{4} - x^{2} + 1}\,{d x} - \frac{1}{8} \, \log\left(x^{2} + x + 1\right) + \frac{1}{8} \, \log\left(x^{2} - x + 1\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + x - 1/2*integrate(1/(x^4 - x^2 + 1), x) - 1/8*log(x^2 + x + 1) + 1/8*log(x^2 - x + 1)","F",0
339,0,0,0,0.000000," ","integrate(x^6/(x^8+x^4+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}{2} \, \int \frac{x^{2} - 1}{x^{4} - x^{2} + 1}\,{d x}"," ",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)) + 1/2*integrate((x^2 - 1)/(x^4 - x^2 + 1), x)","F",0
340,0,0,0,0.000000," ","integrate(x^4/(x^8+x^4+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{2} \, \int \frac{x^{2}}{x^{4} - x^{2} + 1}\,{d x} + \frac{1}{8} \, \log\left(x^{2} + x + 1\right) - \frac{1}{8} \, \log\left(x^{2} - x + 1\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/2*integrate(x^2/(x^4 - x^2 + 1), x) + 1/8*log(x^2 + x + 1) - 1/8*log(x^2 - x + 1)","F",0
341,0,0,0,0.000000," ","integrate(x^2/(x^8+x^4+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{2} \, \int \frac{1}{x^{4} - x^{2} + 1}\,{d x} - \frac{1}{8} \, \log\left(x^{2} + x + 1\right) + \frac{1}{8} \, \log\left(x^{2} - x + 1\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/2*integrate(1/(x^4 - x^2 + 1), x) - 1/8*log(x^2 + x + 1) + 1/8*log(x^2 - x + 1)","F",0
342,0,0,0,0.000000," ","integrate(1/(x^8+x^4+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}{2} \, \int \frac{x^{2} - 1}{x^{4} - x^{2} + 1}\,{d x}"," ",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)) - 1/2*integrate((x^2 - 1)/(x^4 - x^2 + 1), x)","F",0
343,0,0,0,0.000000," ","integrate(1/x^2/(x^8+x^4+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{x} - \frac{1}{2} \, \int \frac{x^{2}}{x^{4} - x^{2} + 1}\,{d x} + \frac{1}{8} \, \log\left(x^{2} + x + 1\right) - \frac{1}{8} \, \log\left(x^{2} - x + 1\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/x - 1/2*integrate(x^2/(x^4 - x^2 + 1), x) + 1/8*log(x^2 + x + 1) - 1/8*log(x^2 - x + 1)","F",0
344,0,0,0,0.000000," ","integrate(1/x^4/(x^8+x^4+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{1}{3 \, x^{3}} - \frac{1}{2} \, \int \frac{1}{x^{4} - x^{2} + 1}\,{d x} - \frac{1}{8} \, \log\left(x^{2} + x + 1\right) + \frac{1}{8} \, \log\left(x^{2} - x + 1\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/3/x^3 - 1/2*integrate(1/(x^4 - x^2 + 1), x) - 1/8*log(x^2 + x + 1) + 1/8*log(x^2 - x + 1)","F",0
345,0,0,0,0.000000," ","integrate(1/x^6/(x^8+x^4+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{5 \, x^{4} - 1}{5 \, x^{5}} + \frac{1}{2} \, \int \frac{x^{2} - 1}{x^{4} - x^{2} + 1}\,{d x}"," ",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*(5*x^4 - 1)/x^5 + 1/2*integrate((x^2 - 1)/(x^4 - x^2 + 1), x)","F",0
346,0,0,0,0.000000," ","integrate(1/x^8/(x^8+x^4+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{7 \, x^{4} - 3}{21 \, x^{7}} + \frac{1}{2} \, \int \frac{x^{2}}{x^{4} - x^{2} + 1}\,{d x} + \frac{1}{8} \, \log\left(x^{2} + x + 1\right) - \frac{1}{8} \, \log\left(x^{2} - x + 1\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/21*(7*x^4 - 3)/x^7 + 1/2*integrate(x^2/(x^4 - x^2 + 1), x) + 1/8*log(x^2 + x + 1) - 1/8*log(x^2 - x + 1)","F",0
347,0,0,0,0.000000," ","integrate(x^m/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{x^{m}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"integrate(x^m/(x^8 - x^4 + 1), x)","F",0
348,1,37,0,2.112166," ","integrate(x^11/(x^8-x^4+1),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} - \frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} - 1\right)}\right) + \frac{1}{8} \, \log\left(x^{8} - x^{4} + 1\right)"," ",0,"1/4*x^4 - 1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 - 1)) + 1/8*log(x^8 - x^4 + 1)","A",0
349,0,0,0,0.000000," ","integrate(x^9/(x^8-x^4+1),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + \int \frac{{\left(x^{4} - 1\right)} x}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"1/2*x^2 + integrate((x^4 - 1)*x/(x^8 - x^4 + 1), x)","F",0
350,1,32,0,1.967867," ","integrate(x^7/(x^8-x^4+1),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} - 1\right)}\right) + \frac{1}{8} \, \log\left(x^{8} - x^{4} + 1\right)"," ",0,"1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 - 1)) + 1/8*log(x^8 - x^4 + 1)","A",0
351,0,0,0,0.000000," ","integrate(x^5/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{x^{5}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"integrate(x^5/(x^8 - x^4 + 1), x)","F",0
352,1,18,0,1.937093," ","integrate(x^3/(x^8-x^4+1),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} - 1\right)}\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 - 1))","A",0
353,0,0,0,0.000000," ","integrate(x/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{x}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"integrate(x/(x^8 - x^4 + 1), x)","F",0
354,1,38,0,1.946983," ","integrate(1/x/(x^8-x^4+1),x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} - 1\right)}\right) - \frac{1}{8} \, \log\left(x^{8} - x^{4} + 1\right) + \frac{1}{4} \, \log\left(x^{4}\right)"," ",0,"1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 - 1)) - 1/8*log(x^8 - x^4 + 1) + 1/4*log(x^4)","A",0
355,0,0,0,0.000000," ","integrate(1/x^3/(x^8-x^4+1),x, algorithm=""maxima"")","-\frac{1}{2 \, x^{2}} - \int \frac{{\left(x^{4} - 1\right)} x}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"-1/2/x^2 - integrate((x^4 - 1)*x/(x^8 - x^4 + 1), x)","F",0
356,1,43,0,1.968478," ","integrate(1/x^5/(x^8-x^4+1),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{4} - 1\right)}\right) - \frac{1}{4 \, x^{4}} - \frac{1}{8} \, \log\left(x^{8} - x^{4} + 1\right) + \frac{1}{4} \, \log\left(x^{4}\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^4 - 1)) - 1/4/x^4 - 1/8*log(x^8 - x^4 + 1) + 1/4*log(x^4)","A",0
357,0,0,0,0.000000," ","integrate(1/x^7/(x^8-x^4+1),x, algorithm=""maxima"")","-\frac{3 \, x^{4} + 1}{6 \, x^{6}} - \int \frac{x^{5}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"-1/6*(3*x^4 + 1)/x^6 - integrate(x^5/(x^8 - x^4 + 1), x)","F",0
358,0,0,0,0.000000," ","integrate(x^8/(x^8-x^4+1),x, algorithm=""maxima"")","x + \int \frac{x^{4} - 1}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"x + integrate((x^4 - 1)/(x^8 - x^4 + 1), x)","F",0
359,0,0,0,0.000000," ","integrate(x^6/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{x^{6}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"integrate(x^6/(x^8 - x^4 + 1), x)","F",0
360,0,0,0,0.000000," ","integrate(x^4/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{x^{4}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"integrate(x^4/(x^8 - x^4 + 1), x)","F",0
361,0,0,0,0.000000," ","integrate(x^2/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{x^{2}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"integrate(x^2/(x^8 - x^4 + 1), x)","F",0
362,0,0,0,0.000000," ","integrate(1/(x^8-x^4+1),x, algorithm=""maxima"")","\int \frac{1}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"integrate(1/(x^8 - x^4 + 1), x)","F",0
363,0,0,0,0.000000," ","integrate(1/x^2/(x^8-x^4+1),x, algorithm=""maxima"")","-\frac{1}{x} - \int \frac{x^{6} - x^{2}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"-1/x - integrate((x^6 - x^2)/(x^8 - x^4 + 1), x)","F",0
364,0,0,0,0.000000," ","integrate(1/x^4/(x^8-x^4+1),x, algorithm=""maxima"")","-\frac{1}{3 \, x^{3}} - \int \frac{x^{4} - 1}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"-1/3/x^3 - integrate((x^4 - 1)/(x^8 - x^4 + 1), x)","F",0
365,0,0,0,0.000000," ","integrate(1/x^6/(x^8-x^4+1),x, algorithm=""maxima"")","-\frac{5 \, x^{4} + 1}{5 \, x^{5}} - \int \frac{x^{6}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"-1/5*(5*x^4 + 1)/x^5 - integrate(x^6/(x^8 - x^4 + 1), x)","F",0
366,0,0,0,0.000000," ","integrate(1/x^8/(x^8-x^4+1),x, algorithm=""maxima"")","-\frac{7 \, x^{4} + 3}{21 \, x^{7}} - \int \frac{x^{4}}{x^{8} - x^{4} + 1}\,{d x}"," ",0,"-1/21*(7*x^4 + 3)/x^7 - integrate(x^4/(x^8 - x^4 + 1), x)","F",0
367,0,0,0,0.000000," ","integrate(x^m/(x^8+3*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{m}}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"integrate(x^m/(x^8 + 3*x^4 + 1), x)","F",0
368,1,50,0,1.281149," ","integrate(x^11/(x^8+3*x^4+1),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} + \frac{7}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{4} - \sqrt{5} + 3}{2 \, x^{4} + \sqrt{5} + 3}\right) - \frac{3}{8} \, \log\left(x^{8} + 3 \, x^{4} + 1\right)"," ",0,"1/4*x^4 + 7/40*sqrt(5)*log((2*x^4 - sqrt(5) + 3)/(2*x^4 + sqrt(5) + 3)) - 3/8*log(x^8 + 3*x^4 + 1)","A",0
369,0,0,0,0.000000," ","integrate(x^9/(x^8+3*x^4+1),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \int \frac{{\left(3 \, x^{4} + 1\right)} x}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"1/2*x^2 - integrate((3*x^4 + 1)*x/(x^8 + 3*x^4 + 1), x)","F",0
370,1,45,0,1.169192," ","integrate(x^7/(x^8+3*x^4+1),x, algorithm=""maxima"")","-\frac{3}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{4} - \sqrt{5} + 3}{2 \, x^{4} + \sqrt{5} + 3}\right) + \frac{1}{8} \, \log\left(x^{8} + 3 \, x^{4} + 1\right)"," ",0,"-3/40*sqrt(5)*log((2*x^4 - sqrt(5) + 3)/(2*x^4 + sqrt(5) + 3)) + 1/8*log(x^8 + 3*x^4 + 1)","A",0
371,0,0,0,0.000000," ","integrate(x^5/(x^8+3*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{5}}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"integrate(x^5/(x^8 + 3*x^4 + 1), x)","F",0
372,1,31,0,1.481562," ","integrate(x^3/(x^8+3*x^4+1),x, algorithm=""maxima"")","\frac{1}{20} \, \sqrt{5} \log\left(\frac{2 \, x^{4} - \sqrt{5} + 3}{2 \, x^{4} + \sqrt{5} + 3}\right)"," ",0,"1/20*sqrt(5)*log((2*x^4 - sqrt(5) + 3)/(2*x^4 + sqrt(5) + 3))","A",0
373,0,0,0,0.000000," ","integrate(x/(x^8+3*x^4+1),x, algorithm=""maxima"")","\int \frac{x}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"integrate(x/(x^8 + 3*x^4 + 1), x)","F",0
374,1,51,0,1.504771," ","integrate(1/x/(x^8+3*x^4+1),x, algorithm=""maxima"")","-\frac{3}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{4} - \sqrt{5} + 3}{2 \, x^{4} + \sqrt{5} + 3}\right) - \frac{1}{8} \, \log\left(x^{8} + 3 \, x^{4} + 1\right) + \frac{1}{4} \, \log\left(x^{4}\right)"," ",0,"-3/40*sqrt(5)*log((2*x^4 - sqrt(5) + 3)/(2*x^4 + sqrt(5) + 3)) - 1/8*log(x^8 + 3*x^4 + 1) + 1/4*log(x^4)","A",0
375,0,0,0,0.000000," ","integrate(1/x^3/(x^8+3*x^4+1),x, algorithm=""maxima"")","-\frac{1}{2 \, x^{2}} - \int \frac{{\left(x^{4} + 3\right)} x}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"-1/2/x^2 - integrate((x^4 + 3)*x/(x^8 + 3*x^4 + 1), x)","F",0
376,1,56,0,1.292248," ","integrate(1/x^5/(x^8+3*x^4+1),x, algorithm=""maxima"")","\frac{7}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{4} - \sqrt{5} + 3}{2 \, x^{4} + \sqrt{5} + 3}\right) - \frac{1}{4 \, x^{4}} + \frac{3}{8} \, \log\left(x^{8} + 3 \, x^{4} + 1\right) - \frac{3}{4} \, \log\left(x^{4}\right)"," ",0,"7/40*sqrt(5)*log((2*x^4 - sqrt(5) + 3)/(2*x^4 + sqrt(5) + 3)) - 1/4/x^4 + 3/8*log(x^8 + 3*x^4 + 1) - 3/4*log(x^4)","A",0
377,0,0,0,0.000000," ","integrate(1/x^7/(x^8+3*x^4+1),x, algorithm=""maxima"")","\frac{9 \, x^{4} - 1}{6 \, x^{6}} + \int \frac{{\left(3 \, x^{4} + 8\right)} x}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"1/6*(9*x^4 - 1)/x^6 + integrate((3*x^4 + 8)*x/(x^8 + 3*x^4 + 1), x)","F",0
378,0,0,0,0.000000," ","integrate(x^8/(x^8+3*x^4+1),x, algorithm=""maxima"")","x - \int \frac{3 \, x^{4} + 1}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"x - integrate((3*x^4 + 1)/(x^8 + 3*x^4 + 1), x)","F",0
379,0,0,0,0.000000," ","integrate(x^6/(x^8+3*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{6}}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"integrate(x^6/(x^8 + 3*x^4 + 1), x)","F",0
380,0,0,0,0.000000," ","integrate(x^4/(x^8+3*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{4}}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"integrate(x^4/(x^8 + 3*x^4 + 1), x)","F",0
381,0,0,0,0.000000," ","integrate(x^2/(x^8+3*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{2}}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"integrate(x^2/(x^8 + 3*x^4 + 1), x)","F",0
382,0,0,0,0.000000," ","integrate(1/(x^8+3*x^4+1),x, algorithm=""maxima"")","\int \frac{1}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"integrate(1/(x^8 + 3*x^4 + 1), x)","F",0
383,0,0,0,0.000000," ","integrate(1/x^2/(x^8+3*x^4+1),x, algorithm=""maxima"")","-\frac{1}{x} - \int \frac{x^{6} + 3 \, x^{2}}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"-1/x - integrate((x^6 + 3*x^2)/(x^8 + 3*x^4 + 1), x)","F",0
384,0,0,0,0.000000," ","integrate(1/x^4/(x^8+3*x^4+1),x, algorithm=""maxima"")","-\frac{1}{3 \, x^{3}} - \int \frac{x^{4} + 3}{x^{8} + 3 \, x^{4} + 1}\,{d x}"," ",0,"-1/3/x^3 - integrate((x^4 + 3)/(x^8 + 3*x^4 + 1), x)","F",0
385,0,0,0,0.000000," ","integrate(x^m/(x^8-3*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{m}}{x^{8} - 3 \, x^{4} + 1}\,{d x}"," ",0,"integrate(x^m/(x^8 - 3*x^4 + 1), x)","F",0
386,1,50,0,1.392871," ","integrate(x^11/(x^8-3*x^4+1),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} + \frac{7}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{4} - \sqrt{5} - 3}{2 \, x^{4} + \sqrt{5} - 3}\right) + \frac{3}{8} \, \log\left(x^{8} - 3 \, x^{4} + 1\right)"," ",0,"1/4*x^4 + 7/40*sqrt(5)*log((2*x^4 - sqrt(5) - 3)/(2*x^4 + sqrt(5) - 3)) + 3/8*log(x^8 - 3*x^4 + 1)","A",0
387,1,92,0,1.358750," ","integrate(x^9/(x^8-3*x^4+1),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + \frac{1}{10} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} + 1}{2 \, x^{2} + \sqrt{5} + 1}\right) + \frac{1}{10} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} - 1}{2 \, x^{2} + \sqrt{5} - 1}\right) - \frac{1}{4} \, \log\left(x^{4} + x^{2} - 1\right) + \frac{1}{4} \, \log\left(x^{4} - x^{2} - 1\right)"," ",0,"1/2*x^2 + 1/10*sqrt(5)*log((2*x^2 - sqrt(5) + 1)/(2*x^2 + sqrt(5) + 1)) + 1/10*sqrt(5)*log((2*x^2 - sqrt(5) - 1)/(2*x^2 + sqrt(5) - 1)) - 1/4*log(x^4 + x^2 - 1) + 1/4*log(x^4 - x^2 - 1)","A",0
388,1,45,0,1.478694," ","integrate(x^7/(x^8-3*x^4+1),x, algorithm=""maxima"")","\frac{3}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{4} - \sqrt{5} - 3}{2 \, x^{4} + \sqrt{5} - 3}\right) + \frac{1}{8} \, \log\left(x^{8} - 3 \, x^{4} + 1\right)"," ",0,"3/40*sqrt(5)*log((2*x^4 - sqrt(5) - 3)/(2*x^4 + sqrt(5) - 3)) + 1/8*log(x^8 - 3*x^4 + 1)","A",0
389,1,87,0,1.917103," ","integrate(x^5/(x^8-3*x^4+1),x, algorithm=""maxima"")","\frac{1}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} + 1}{2 \, x^{2} + \sqrt{5} + 1}\right) + \frac{1}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} - 1}{2 \, x^{2} + \sqrt{5} - 1}\right) - \frac{1}{8} \, \log\left(x^{4} + x^{2} - 1\right) + \frac{1}{8} \, \log\left(x^{4} - x^{2} - 1\right)"," ",0,"1/40*sqrt(5)*log((2*x^2 - sqrt(5) + 1)/(2*x^2 + sqrt(5) + 1)) + 1/40*sqrt(5)*log((2*x^2 - sqrt(5) - 1)/(2*x^2 + sqrt(5) - 1)) - 1/8*log(x^4 + x^2 - 1) + 1/8*log(x^4 - x^2 - 1)","B",0
390,1,31,0,1.413133," ","integrate(x^3/(x^8-3*x^4+1),x, algorithm=""maxima"")","\frac{1}{20} \, \sqrt{5} \log\left(\frac{2 \, x^{4} - \sqrt{5} - 3}{2 \, x^{4} + \sqrt{5} - 3}\right)"," ",0,"1/20*sqrt(5)*log((2*x^4 - sqrt(5) - 3)/(2*x^4 + sqrt(5) - 3))","A",0
391,1,87,0,1.450165," ","integrate(x/(x^8-3*x^4+1),x, algorithm=""maxima"")","-\frac{1}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} + 1}{2 \, x^{2} + \sqrt{5} + 1}\right) - \frac{1}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} - 1}{2 \, x^{2} + \sqrt{5} - 1}\right) - \frac{1}{8} \, \log\left(x^{4} + x^{2} - 1\right) + \frac{1}{8} \, \log\left(x^{4} - x^{2} - 1\right)"," ",0,"-1/40*sqrt(5)*log((2*x^2 - sqrt(5) + 1)/(2*x^2 + sqrt(5) + 1)) - 1/40*sqrt(5)*log((2*x^2 - sqrt(5) - 1)/(2*x^2 + sqrt(5) - 1)) - 1/8*log(x^4 + x^2 - 1) + 1/8*log(x^4 - x^2 - 1)","B",0
392,1,51,0,1.445398," ","integrate(1/x/(x^8-3*x^4+1),x, algorithm=""maxima"")","\frac{3}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{4} - \sqrt{5} - 3}{2 \, x^{4} + \sqrt{5} - 3}\right) - \frac{1}{8} \, \log\left(x^{8} - 3 \, x^{4} + 1\right) + \frac{1}{4} \, \log\left(x^{4}\right)"," ",0,"3/40*sqrt(5)*log((2*x^4 - sqrt(5) - 3)/(2*x^4 + sqrt(5) - 3)) - 1/8*log(x^8 - 3*x^4 + 1) + 1/4*log(x^4)","A",0
393,1,92,0,1.461563," ","integrate(1/x^3/(x^8-3*x^4+1),x, algorithm=""maxima"")","-\frac{1}{10} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} + 1}{2 \, x^{2} + \sqrt{5} + 1}\right) - \frac{1}{10} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} - 1}{2 \, x^{2} + \sqrt{5} - 1}\right) - \frac{1}{2 \, x^{2}} - \frac{1}{4} \, \log\left(x^{4} + x^{2} - 1\right) + \frac{1}{4} \, \log\left(x^{4} - x^{2} - 1\right)"," ",0,"-1/10*sqrt(5)*log((2*x^2 - sqrt(5) + 1)/(2*x^2 + sqrt(5) + 1)) - 1/10*sqrt(5)*log((2*x^2 - sqrt(5) - 1)/(2*x^2 + sqrt(5) - 1)) - 1/2/x^2 - 1/4*log(x^4 + x^2 - 1) + 1/4*log(x^4 - x^2 - 1)","A",0
394,1,56,0,1.395466," ","integrate(1/x^5/(x^8-3*x^4+1),x, algorithm=""maxima"")","\frac{7}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{4} - \sqrt{5} - 3}{2 \, x^{4} + \sqrt{5} - 3}\right) - \frac{1}{4 \, x^{4}} - \frac{3}{8} \, \log\left(x^{8} - 3 \, x^{4} + 1\right) + \frac{3}{4} \, \log\left(x^{4}\right)"," ",0,"7/40*sqrt(5)*log((2*x^4 - sqrt(5) - 3)/(2*x^4 + sqrt(5) - 3)) - 1/4/x^4 - 3/8*log(x^8 - 3*x^4 + 1) + 3/4*log(x^4)","A",0
395,1,99,0,1.324603," ","integrate(1/x^7/(x^8-3*x^4+1),x, algorithm=""maxima"")","-\frac{11}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} + 1}{2 \, x^{2} + \sqrt{5} + 1}\right) - \frac{11}{40} \, \sqrt{5} \log\left(\frac{2 \, x^{2} - \sqrt{5} - 1}{2 \, x^{2} + \sqrt{5} - 1}\right) - \frac{9 \, x^{4} + 1}{6 \, x^{6}} - \frac{5}{8} \, \log\left(x^{4} + x^{2} - 1\right) + \frac{5}{8} \, \log\left(x^{4} - x^{2} - 1\right)"," ",0,"-11/40*sqrt(5)*log((2*x^2 - sqrt(5) + 1)/(2*x^2 + sqrt(5) + 1)) - 11/40*sqrt(5)*log((2*x^2 - sqrt(5) - 1)/(2*x^2 + sqrt(5) - 1)) - 1/6*(9*x^4 + 1)/x^6 - 5/8*log(x^4 + x^2 - 1) + 5/8*log(x^4 - x^2 - 1)","A",0
396,0,0,0,0.000000," ","integrate(x^8/(x^8-3*x^4+1),x, algorithm=""maxima"")","x + \frac{1}{2} \, \int \frac{2 \, x^{2} + 1}{x^{4} - x^{2} - 1}\,{d x} - \frac{1}{2} \, \int \frac{2 \, x^{2} - 1}{x^{4} + x^{2} - 1}\,{d x}"," ",0,"x + 1/2*integrate((2*x^2 + 1)/(x^4 - x^2 - 1), x) - 1/2*integrate((2*x^2 - 1)/(x^4 + x^2 - 1), x)","F",0
397,0,0,0,0.000000," ","integrate(x^6/(x^8-3*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{6}}{x^{8} - 3 \, x^{4} + 1}\,{d x}"," ",0,"integrate(x^6/(x^8 - 3*x^4 + 1), x)","F",0
398,0,0,0,0.000000," ","integrate(x^4/(x^8-3*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{4}}{x^{8} - 3 \, x^{4} + 1}\,{d x}"," ",0,"integrate(x^4/(x^8 - 3*x^4 + 1), x)","F",0
399,0,0,0,0.000000," ","integrate(x^2/(x^8-3*x^4+1),x, algorithm=""maxima"")","\int \frac{x^{2}}{x^{8} - 3 \, x^{4} + 1}\,{d x}"," ",0,"integrate(x^2/(x^8 - 3*x^4 + 1), x)","F",0
400,0,0,0,0.000000," ","integrate(1/(x^8-3*x^4+1),x, algorithm=""maxima"")","\int \frac{1}{x^{8} - 3 \, x^{4} + 1}\,{d x}"," ",0,"integrate(1/(x^8 - 3*x^4 + 1), x)","F",0
401,0,0,0,0.000000," ","integrate(1/x^2/(x^8-3*x^4+1),x, algorithm=""maxima"")","-\frac{1}{x} - \frac{1}{2} \, \int \frac{x^{2} + 2}{x^{4} + x^{2} - 1}\,{d x} - \frac{1}{2} \, \int \frac{x^{2} - 2}{x^{4} - x^{2} - 1}\,{d x}"," ",0,"-1/x - 1/2*integrate((x^2 + 2)/(x^4 + x^2 - 1), x) - 1/2*integrate((x^2 - 2)/(x^4 - x^2 - 1), x)","F",0
402,0,0,0,0.000000," ","integrate(1/x^4/(x^8-3*x^4+1),x, algorithm=""maxima"")","-\frac{1}{3 \, x^{3}} - \frac{1}{2} \, \int \frac{2 \, x^{2} + 3}{x^{4} + x^{2} - 1}\,{d x} + \frac{1}{2} \, \int \frac{2 \, x^{2} - 3}{x^{4} - x^{2} - 1}\,{d x}"," ",0,"-1/3/x^3 - 1/2*integrate((2*x^2 + 3)/(x^4 + x^2 - 1), x) + 1/2*integrate((2*x^2 - 3)/(x^4 - x^2 - 1), x)","F",0
403,0,0,0,0.000000," ","integrate(1/x^6/(x^8-3*x^4+1),x, algorithm=""maxima"")","-\frac{15 \, x^{4} + 1}{5 \, x^{5}} - \frac{1}{2} \, \int \frac{3 \, x^{2} + 5}{x^{4} + x^{2} - 1}\,{d x} - \frac{1}{2} \, \int \frac{3 \, x^{2} - 5}{x^{4} - x^{2} - 1}\,{d x}"," ",0,"-1/5*(15*x^4 + 1)/x^5 - 1/2*integrate((3*x^2 + 5)/(x^4 + x^2 - 1), x) - 1/2*integrate((3*x^2 - 5)/(x^4 - x^2 - 1), x)","F",0
404,0,0,0,0.000000," ","integrate(1/x^8/(x^8-3*x^4+1),x, algorithm=""maxima"")","-\frac{7 \, x^{4} + 1}{7 \, x^{7}} - \frac{1}{2} \, \int \frac{5 \, x^{2} + 8}{x^{4} + x^{2} - 1}\,{d x} + \frac{1}{2} \, \int \frac{5 \, x^{2} - 8}{x^{4} - x^{2} - 1}\,{d x}"," ",0,"-1/7*(7*x^4 + 1)/x^7 - 1/2*integrate((5*x^2 + 8)/(x^4 + x^2 - 1), x) + 1/2*integrate((5*x^2 - 8)/(x^4 - x^2 - 1), x)","F",0
405,1,17,0,0.586699," ","integrate(x^3/(x^8+3*x^4+2),x, algorithm=""maxima"")","-\frac{1}{4} \, \log\left(x^{4} + 2\right) + \frac{1}{4} \, \log\left(x^{4} + 1\right)"," ",0,"-1/4*log(x^4 + 2) + 1/4*log(x^4 + 1)","A",0
406,1,22,0,0.860976," ","integrate(x^11/(x^8+3*x^4+2),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} - \log\left(x^{4} + 2\right) + \frac{1}{4} \, \log\left(x^{4} + 1\right)"," ",0,"1/4*x^4 - log(x^4 + 2) + 1/4*log(x^4 + 1)","A",0
407,1,30,0,2.046309," ","integrate(x^9/(x^10+x^5+2),x, algorithm=""maxima"")","-\frac{1}{35} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(2 \, x^{5} + 1\right)}\right) + \frac{1}{10} \, \log\left(x^{10} + x^{5} + 2\right)"," ",0,"-1/35*sqrt(7)*arctan(1/7*sqrt(7)*(2*x^5 + 1)) + 1/10*log(x^10 + x^5 + 2)","A",0
408,1,18,0,2.092238," ","integrate(x^4/(x^10+x^5+2),x, algorithm=""maxima"")","\frac{2}{35} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(2 \, x^{5} + 1\right)}\right)"," ",0,"2/35*sqrt(7)*arctan(1/7*sqrt(7)*(2*x^5 + 1))","A",0
409,1,36,0,2.032985," ","integrate(1/x/(x^10+x^5+1),x, algorithm=""maxima"")","-\frac{1}{15} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{5} + 1\right)}\right) - \frac{1}{10} \, \log\left(x^{10} + x^{5} + 1\right) + \frac{1}{5} \, \log\left(x^{5}\right)"," ",0,"-1/15*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^5 + 1)) - 1/10*log(x^10 + x^5 + 1) + 1/5*log(x^5)","A",0
410,1,41,0,2.070073," ","integrate(1/x^6/(x^10+x^5+1),x, algorithm=""maxima"")","-\frac{1}{15} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{5} + 1\right)}\right) - \frac{1}{5 \, x^{5}} + \frac{1}{10} \, \log\left(x^{10} + x^{5} + 1\right) - \frac{1}{5} \, \log\left(x^{5}\right)"," ",0,"-1/15*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^5 + 1)) - 1/5/x^5 + 1/10*log(x^10 + x^5 + 1) - 1/5*log(x^5)","A",0
411,0,0,0,0.000000," ","integrate(1/(x^11+x^6+x),x, algorithm=""maxima"")","\frac{1}{15} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{5} \, \int \frac{4 \, x^{7} - 3 \, x^{6} - x^{5} + 3 \, x^{4} - x^{3} + 2 \, x^{2} - x}{x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1}\,{d x} - \frac{1}{10} \, \log\left(x^{2} + x + 1\right) + \log\left(x\right)"," ",0,"1/15*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/5*integrate((4*x^7 - 3*x^6 - x^5 + 3*x^4 - x^3 + 2*x^2 - x)/(x^8 - x^7 + x^5 - x^4 + x^3 - x + 1), x) - 1/10*log(x^2 + x + 1) + log(x)","F",0
412,-2,0,0,0.000000," ","integrate(x^3/(c+a/x^2+b/x),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
413,-2,0,0,0.000000," ","integrate(x^2/(c+a/x^2+b/x),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
414,-2,0,0,0.000000," ","integrate(x/(c+a/x^2+b/x),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
415,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x),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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
416,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)/x,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
417,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
418,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
419,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
420,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)/x^5,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
421,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)/x^6,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
422,-2,0,0,0.000000," ","integrate(x/(c+a/x^2+b/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
423,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
424,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^2/x,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
425,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
426,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
427,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
428,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^2/x^5,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
429,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^2/x^6,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
430,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^2/x^7,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
431,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
432,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^3/x,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
433,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
434,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
435,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^3/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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
436,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^3/x^5,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
437,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^3/x^6,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
438,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^3/x^7,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
439,-2,0,0,0.000000," ","integrate(1/(c+a/x^2+b/x)^3/x^8,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(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
440,1,30,0,0.422977," ","integrate(x^2/(15+2/x^2+13/x),x, algorithm=""maxima"")","\frac{1}{45} \, x^{3} - \frac{13}{450} \, x^{2} + \frac{139}{3375} \, x + \frac{1}{4375} \, \log\left(5 \, x + 1\right) - \frac{16}{567} \, \log\left(3 \, x + 2\right)"," ",0,"1/45*x^3 - 13/450*x^2 + 139/3375*x + 1/4375*log(5*x + 1) - 16/567*log(3*x + 2)","A",0
441,1,25,0,0.417717," ","integrate(x/(15+2/x^2+13/x),x, algorithm=""maxima"")","\frac{1}{30} \, x^{2} - \frac{13}{225} \, x - \frac{1}{875} \, \log\left(5 \, x + 1\right) + \frac{8}{189} \, \log\left(3 \, x + 2\right)"," ",0,"1/30*x^2 - 13/225*x - 1/875*log(5*x + 1) + 8/189*log(3*x + 2)","A",0
442,1,20,0,0.417608," ","integrate(1/(15+2/x^2+13/x),x, algorithm=""maxima"")","\frac{1}{15} \, x + \frac{1}{175} \, \log\left(5 \, x + 1\right) - \frac{4}{63} \, \log\left(3 \, x + 2\right)"," ",0,"1/15*x + 1/175*log(5*x + 1) - 4/63*log(3*x + 2)","A",0
443,1,17,0,0.420392," ","integrate(1/(15+2/x^2+13/x)/x,x, algorithm=""maxima"")","-\frac{1}{35} \, \log\left(5 \, x + 1\right) + \frac{2}{21} \, \log\left(3 \, x + 2\right)"," ",0,"-1/35*log(5*x + 1) + 2/21*log(3*x + 2)","A",0
444,1,17,0,0.418253," ","integrate(1/(15+2/x^2+13/x)/x^2,x, algorithm=""maxima"")","\frac{1}{7} \, \log\left(5 \, x + 1\right) - \frac{1}{7} \, \log\left(3 \, x + 2\right)"," ",0,"1/7*log(5*x + 1) - 1/7*log(3*x + 2)","A",0
445,1,21,0,0.421162," ","integrate(1/(15+2/x^2+13/x)/x^3,x, algorithm=""maxima"")","-\frac{5}{7} \, \log\left(5 \, x + 1\right) + \frac{3}{14} \, \log\left(3 \, x + 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-5/7*log(5*x + 1) + 3/14*log(3*x + 2) + 1/2*log(x)","A",0
446,1,26,0,0.427377," ","integrate(1/(15+2/x^2+13/x)/x^4,x, algorithm=""maxima"")","-\frac{1}{2 \, x} + \frac{25}{7} \, \log\left(5 \, x + 1\right) - \frac{9}{28} \, \log\left(3 \, x + 2\right) - \frac{13}{4} \, \log\left(x\right)"," ",0,"-1/2/x + 25/7*log(5*x + 1) - 9/28*log(3*x + 2) - 13/4*log(x)","A",0
447,1,31,0,0.421307," ","integrate(1/(15+2/x^2+13/x)/x^5,x, algorithm=""maxima"")","\frac{13 \, x - 1}{4 \, x^{2}} - \frac{125}{7} \, \log\left(5 \, x + 1\right) + \frac{27}{56} \, \log\left(3 \, x + 2\right) + \frac{139}{8} \, \log\left(x\right)"," ",0,"1/4*(13*x - 1)/x^2 - 125/7*log(5*x + 1) + 27/56*log(3*x + 2) + 139/8*log(x)","A",0
448,1,36,0,0.645390," ","integrate(1/(15+2/x^2+13/x)/x^6,x, algorithm=""maxima"")","-\frac{417 \, x^{2} - 39 \, x + 4}{24 \, x^{3}} + \frac{625}{7} \, \log\left(5 \, x + 1\right) - \frac{81}{112} \, \log\left(3 \, x + 2\right) - \frac{1417}{16} \, \log\left(x\right)"," ",0,"-1/24*(417*x^2 - 39*x + 4)/x^3 + 625/7*log(5*x + 1) - 81/112*log(3*x + 2) - 1417/16*log(x)","A",0
449,0,0,0,0.000000," ","integrate((a+c/x^2+b/x)^(5/2),x, algorithm=""maxima"")","\int {\left(a + \frac{b}{x} + \frac{c}{x^{2}}\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((a + b/x + c/x^2)^(5/2), x)","F",0
450,0,0,0,0.000000," ","integrate((a+c/x^2+b/x)^(3/2),x, algorithm=""maxima"")","\int {\left(a + \frac{b}{x} + \frac{c}{x^{2}}\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a + b/x + c/x^2)^(3/2), x)","F",0
451,0,0,0,0.000000," ","integrate((a+c/x^2+b/x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{a + \frac{b}{x} + \frac{c}{x^{2}}}\,{d x}"," ",0,"integrate(sqrt(a + b/x + c/x^2), x)","F",0
452,0,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a + \frac{b}{x} + \frac{c}{x^{2}}}}\,{d x}"," ",0,"integrate(1/sqrt(a + b/x + c/x^2), x)","F",0
453,0,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x} + \frac{c}{x^{2}}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a + b/x + c/x^2)^(-3/2), x)","F",0
454,0,0,0,0.000000," ","integrate(1/(a+c/x^2+b/x)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(a + \frac{b}{x} + \frac{c}{x^{2}}\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a + b/x + c/x^2)^(-5/2), x)","F",0
455,1,8,0,0.784683," ","integrate((a^2+b^2/x^2+2*a*b/x)^(1/2),x, algorithm=""maxima"")","a x + b \log\left(x\right)"," ",0,"a*x + b*log(x)","A",0
456,0,0,0,0.000000," ","integrate(1/(c+a/x^4+b/x^2),x, algorithm=""maxima"")","\frac{x}{c} - \frac{\frac{{\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c - 2 \, b^{4} c + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{2} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} + 16 \, a b^{2} c^{2} - 2 \, b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{3} - 32 \, a^{2} c^{3} + 8 \, a b c^{3} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c - 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b c^{2}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(b^{4} - 8 \, a b^{2} c - 2 \, b^{3} c + 16 \, a^{2} c^{2} + 8 \, a b c^{2} + b^{2} c^{2} - 4 \, a c^{3}\right)} c} + \frac{{\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c + 2 \, b^{4} c + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{2} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} - 16 \, a b^{2} c^{2} + 2 \, b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{3} + 32 \, a^{2} c^{3} - 8 \, a b c^{3} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c + 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} b c^{2}\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\left(b^{4} - 8 \, a b^{2} c - 2 \, b^{3} c + 16 \, a^{2} c^{2} + 8 \, a b c^{2} + b^{2} c^{2} - 4 \, a c^{3}\right)} c}}{c}"," ",0,"x/c - integrate((b*x^2 + a)/(c*x^4 + b*x^2 + a), x)/c","F",0
457,0,0,0,0.000000," ","integrate(1/(c+a/x^6+b/x^3),x, algorithm=""maxima"")","\frac{x}{c} - \frac{\int \frac{b x^{3} + a}{c x^{6} + b x^{3} + a}\,{d x}}{c}"," ",0,"x/c - integrate((b*x^3 + a)/(c*x^6 + b*x^3 + a), x)/c","F",0
458,-1,0,0,0.000000," ","integrate(1/(c+a/x^8+b/x^4),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
459,0,0,0,0.000000," ","integrate((a+c*x+b*x^(1/2))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{c x + b \sqrt{x} + a}}{x}\,{d x}"," ",0,"integrate(sqrt(c*x + b*sqrt(x) + a)/x, x)","F",0
460,1,54,0,0.868608," ","integrate((1/4/c*b^2+c*x+b*x^(1/2))^2,x, algorithm=""maxima"")","\frac{1}{3} \, c^{2} x^{3} + \frac{4}{5} \, b c x^{\frac{5}{2}} + \frac{1}{2} \, b^{2} x^{2} + \frac{b^{4} x}{16 \, c^{2}} + \frac{{\left(3 \, c x^{2} + 4 \, b x^{\frac{3}{2}}\right)} b^{2}}{12 \, c}"," ",0,"1/3*c^2*x^3 + 4/5*b*c*x^(5/2) + 1/2*b^2*x^2 + 1/16*b^4*x/c^2 + 1/12*(3*c*x^2 + 4*b*x^(3/2))*b^2/c","A",0
461,1,23,0,0.955880," ","integrate(1/(a^2+b^2*x+2*a*b*x^(1/2))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, a \log\left(b \sqrt{x} + a\right)}{b^{2}} + \frac{2 \, \sqrt{x}}{b}"," ",0,"-2*a*log(b*sqrt(x) + a)/b^2 + 2*sqrt(x)/b","A",0
462,1,114,0,0.906326," ","integrate((a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^(7/2),x, algorithm=""maxima"")","\frac{3 \, {\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{7}{2}} a^{2} x^{\frac{1}{3}}}{8 \, b^{2}} + \frac{3 \, {\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{7}{2}} a^{3}}{8 \, b^{3}} + \frac{3 \, {\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{9}{2}} x^{\frac{1}{3}}}{10 \, b^{2}} - \frac{11 \, {\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{9}{2}} a}{30 \, b^{3}}"," ",0,"3/8*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(7/2)*a^2*x^(1/3)/b^2 + 3/8*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(7/2)*a^3/b^3 + 3/10*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(9/2)*x^(1/3)/b^2 - 11/30*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(9/2)*a/b^3","A",0
463,1,114,0,0.889733," ","integrate((a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^(5/2),x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{5}{2}} a^{2} x^{\frac{1}{3}}}{2 \, b^{2}} + \frac{{\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{5}{2}} a^{3}}{2 \, b^{3}} + \frac{3 \, {\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{7}{2}} x^{\frac{1}{3}}}{8 \, b^{2}} - \frac{27 \, {\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{7}{2}} a}{56 \, b^{3}}"," ",0,"1/2*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(5/2)*a^2*x^(1/3)/b^2 + 1/2*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(5/2)*a^3/b^3 + 3/8*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(7/2)*x^(1/3)/b^2 - 27/56*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(7/2)*a/b^3","A",0
464,1,114,0,0.914442," ","integrate((a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^(3/2),x, algorithm=""maxima"")","\frac{3 \, {\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{3}{2}} a^{2} x^{\frac{1}{3}}}{4 \, b^{2}} + \frac{3 \, {\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{3}{2}} a^{3}}{4 \, b^{3}} + \frac{{\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{5}{2}} x^{\frac{1}{3}}}{2 \, b^{2}} - \frac{7 \, {\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{5}{2}} a}{10 \, b^{3}}"," ",0,"3/4*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(3/2)*a^2*x^(1/3)/b^2 + 3/4*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(3/2)*a^3/b^3 + 1/2*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(5/2)*x^(1/3)/b^2 - 7/10*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(5/2)*a/b^3","A",0
465,1,114,0,0.883796," ","integrate((a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^(1/2),x, algorithm=""maxima"")","\frac{3 \, \sqrt{b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}} a^{2} x^{\frac{1}{3}}}{2 \, b^{2}} + \frac{3 \, \sqrt{b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}} a^{3}}{2 \, b^{3}} + \frac{3 \, {\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{3}{2}} x^{\frac{1}{3}}}{4 \, b^{2}} - \frac{5 \, {\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{\frac{3}{2}} a}{4 \, b^{3}}"," ",0,"3/2*sqrt(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)*a^2*x^(1/3)/b^2 + 3/2*sqrt(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)*a^3/b^3 + 3/4*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(3/2)*x^(1/3)/b^2 - 5/4*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^(3/2)*a/b^3","A",0
466,1,36,0,0.876449," ","integrate(1/(a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^(1/2),x, algorithm=""maxima"")","\frac{3 \, a^{2} \log\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}{b^{3}} + \frac{3 \, x^{\frac{2}{3}}}{2 \, b} - \frac{3 \, a x^{\frac{1}{3}}}{b^{2}}"," ",0,"3*a^2*log(x^(1/3) + a/b)/b^3 + 3/2*x^(2/3)/b - 3*a*x^(1/3)/b^2","A",0
467,1,55,0,0.616844," ","integrate(1/(a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^(3/2),x, algorithm=""maxima"")","\frac{3 \, \log\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}{b^{3}} + \frac{6 \, a x^{\frac{1}{3}}}{b^{4} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{2}} + \frac{9 \, a^{2}}{2 \, b^{5} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{2}}"," ",0,"3*log(x^(1/3) + a/b)/b^3 + 6*a*x^(1/3)/(b^4*(x^(1/3) + a/b)^2) + 9/2*a^2/(b^5*(x^(1/3) + a/b)^2)","A",0
468,1,53,0,0.715586," ","integrate(1/(a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^(5/2),x, algorithm=""maxima"")","-\frac{3}{2 \, b^{5} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{2}} + \frac{2 \, a}{b^{6} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{3}} - \frac{3 \, a^{2}}{4 \, b^{7} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{4}}"," ",0,"-3/2/(b^5*(x^(1/3) + a/b)^2) + 2*a/(b^6*(x^(1/3) + a/b)^3) - 3/4*a^2/(b^7*(x^(1/3) + a/b)^4)","A",0
469,1,53,0,0.538034," ","integrate(1/(a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^(7/2),x, algorithm=""maxima"")","-\frac{3}{4 \, b^{7} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{4}} + \frac{6 \, a}{5 \, b^{8} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{5}} - \frac{a^{2}}{2 \, b^{9} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{6}}"," ",0,"-3/4/(b^7*(x^(1/3) + a/b)^4) + 6/5*a/(b^8*(x^(1/3) + a/b)^5) - 1/2*a^2/(b^9*(x^(1/3) + a/b)^6)","A",0
470,1,53,0,0.720706," ","integrate(1/(a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^(9/2),x, algorithm=""maxima"")","-\frac{1}{2 \, b^{9} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{6}} + \frac{6 \, a}{7 \, b^{10} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{7}} - \frac{3 \, a^{2}}{8 \, b^{11} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{8}}"," ",0,"-1/2/(b^9*(x^(1/3) + a/b)^6) + 6/7*a/(b^10*(x^(1/3) + a/b)^7) - 3/8*a^2/(b^11*(x^(1/3) + a/b)^8)","A",0
471,1,53,0,0.542591," ","integrate(1/(a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^(11/2),x, algorithm=""maxima"")","-\frac{3}{8 \, b^{11} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{8}} + \frac{2 \, a}{3 \, b^{12} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{9}} - \frac{3 \, a^{2}}{10 \, b^{13} {\left(x^{\frac{1}{3}} + \frac{a}{b}\right)}^{10}}"," ",0,"-3/8/(b^11*(x^(1/3) + a/b)^8) + 2/3*a/(b^12*(x^(1/3) + a/b)^9) - 3/10*a^2/(b^13*(x^(1/3) + a/b)^10)","A",0
472,0,0,0,0.000000," ","integrate((a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^p*(d*x)^m,x, algorithm=""maxima"")","\int {\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{p} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^p*(d*x)^m, x)","F",0
473,1,362,0,0.703995," ","integrate((a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^p*x^2,x, algorithm=""maxima"")","\frac{3 \, {\left({\left(16 \, p^{8} + 288 \, p^{7} + 2184 \, p^{6} + 9072 \, p^{5} + 22449 \, p^{4} + 33642 \, p^{3} + 29531 \, p^{2} + 13698 \, p + 2520\right)} b^{9} x^{3} + {\left(16 \, p^{8} + 224 \, p^{7} + 1288 \, p^{6} + 3920 \, p^{5} + 6769 \, p^{4} + 6566 \, p^{3} + 3267 \, p^{2} + 630 \, p\right)} a b^{8} x^{\frac{8}{3}} - 8 \, {\left(8 \, p^{7} + 84 \, p^{6} + 350 \, p^{5} + 735 \, p^{4} + 812 \, p^{3} + 441 \, p^{2} + 90 \, p\right)} a^{2} b^{7} x^{\frac{7}{3}} + 28 \, {\left(8 \, p^{6} + 60 \, p^{5} + 170 \, p^{4} + 225 \, p^{3} + 137 \, p^{2} + 30 \, p\right)} a^{3} b^{6} x^{2} - 168 \, {\left(4 \, p^{5} + 20 \, p^{4} + 35 \, p^{3} + 25 \, p^{2} + 6 \, p\right)} a^{4} b^{5} x^{\frac{5}{3}} + 420 \, {\left(4 \, p^{4} + 12 \, p^{3} + 11 \, p^{2} + 3 \, p\right)} a^{5} b^{4} x^{\frac{4}{3}} - 1680 \, {\left(2 \, p^{3} + 3 \, p^{2} + p\right)} a^{6} b^{3} x + 2520 \, {\left(2 \, p^{2} + p\right)} a^{7} b^{2} x^{\frac{2}{3}} - 5040 \, a^{8} b p x^{\frac{1}{3}} + 2520 \, a^{9}\right)} {\left(b x^{\frac{1}{3}} + a\right)}^{2 \, p}}{{\left(32 \, p^{9} + 720 \, p^{8} + 6960 \, p^{7} + 37800 \, p^{6} + 126546 \, p^{5} + 269325 \, p^{4} + 361840 \, p^{3} + 293175 \, p^{2} + 128322 \, p + 22680\right)} b^{9}}"," ",0,"3*((16*p^8 + 288*p^7 + 2184*p^6 + 9072*p^5 + 22449*p^4 + 33642*p^3 + 29531*p^2 + 13698*p + 2520)*b^9*x^3 + (16*p^8 + 224*p^7 + 1288*p^6 + 3920*p^5 + 6769*p^4 + 6566*p^3 + 3267*p^2 + 630*p)*a*b^8*x^(8/3) - 8*(8*p^7 + 84*p^6 + 350*p^5 + 735*p^4 + 812*p^3 + 441*p^2 + 90*p)*a^2*b^7*x^(7/3) + 28*(8*p^6 + 60*p^5 + 170*p^4 + 225*p^3 + 137*p^2 + 30*p)*a^3*b^6*x^2 - 168*(4*p^5 + 20*p^4 + 35*p^3 + 25*p^2 + 6*p)*a^4*b^5*x^(5/3) + 420*(4*p^4 + 12*p^3 + 11*p^2 + 3*p)*a^5*b^4*x^(4/3) - 1680*(2*p^3 + 3*p^2 + p)*a^6*b^3*x + 2520*(2*p^2 + p)*a^7*b^2*x^(2/3) - 5040*a^8*b*p*x^(1/3) + 2520*a^9)*(b*x^(1/3) + a)^(2*p)/((32*p^9 + 720*p^8 + 6960*p^7 + 37800*p^6 + 126546*p^5 + 269325*p^4 + 361840*p^3 + 293175*p^2 + 128322*p + 22680)*b^9)","A",0
474,1,198,0,0.640339," ","integrate((a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^p*x,x, algorithm=""maxima"")","\frac{3 \, {\left({\left(8 \, p^{5} + 60 \, p^{4} + 170 \, p^{3} + 225 \, p^{2} + 137 \, p + 30\right)} b^{6} x^{2} + 2 \, {\left(4 \, p^{5} + 20 \, p^{4} + 35 \, p^{3} + 25 \, p^{2} + 6 \, p\right)} a b^{5} x^{\frac{5}{3}} - 5 \, {\left(4 \, p^{4} + 12 \, p^{3} + 11 \, p^{2} + 3 \, p\right)} a^{2} b^{4} x^{\frac{4}{3}} + 20 \, {\left(2 \, p^{3} + 3 \, p^{2} + p\right)} a^{3} b^{3} x - 30 \, {\left(2 \, p^{2} + p\right)} a^{4} b^{2} x^{\frac{2}{3}} + 60 \, a^{5} b p x^{\frac{1}{3}} - 30 \, a^{6}\right)} {\left(b x^{\frac{1}{3}} + a\right)}^{2 \, p}}{2 \, {\left(8 \, p^{6} + 84 \, p^{5} + 350 \, p^{4} + 735 \, p^{3} + 812 \, p^{2} + 441 \, p + 90\right)} b^{6}}"," ",0,"3/2*((8*p^5 + 60*p^4 + 170*p^3 + 225*p^2 + 137*p + 30)*b^6*x^2 + 2*(4*p^5 + 20*p^4 + 35*p^3 + 25*p^2 + 6*p)*a*b^5*x^(5/3) - 5*(4*p^4 + 12*p^3 + 11*p^2 + 3*p)*a^2*b^4*x^(4/3) + 20*(2*p^3 + 3*p^2 + p)*a^3*b^3*x - 30*(2*p^2 + p)*a^4*b^2*x^(2/3) + 60*a^5*b*p*x^(1/3) - 30*a^6)*(b*x^(1/3) + a)^(2*p)/((8*p^6 + 84*p^5 + 350*p^4 + 735*p^3 + 812*p^2 + 441*p + 90)*b^6)","A",0
475,1,77,0,0.798204," ","integrate((a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^p,x, algorithm=""maxima"")","\frac{3 \, {\left({\left(2 \, p^{2} + 3 \, p + 1\right)} b^{3} x + {\left(2 \, p^{2} + p\right)} a b^{2} x^{\frac{2}{3}} - 2 \, a^{2} b p x^{\frac{1}{3}} + a^{3}\right)} {\left(b x^{\frac{1}{3}} + a\right)}^{2 \, p}}{{\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} b^{3}}"," ",0,"3*((2*p^2 + 3*p + 1)*b^3*x + (2*p^2 + p)*a*b^2*x^(2/3) - 2*a^2*b*p*x^(1/3) + a^3)*(b*x^(1/3) + a)^(2*p)/((4*p^3 + 12*p^2 + 11*p + 3)*b^3)","A",0
476,0,0,0,0.000000," ","integrate((a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^p/x,x, algorithm=""maxima"")","\int \frac{{\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^p/x, x)","F",0
477,0,0,0,0.000000," ","integrate((a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^p/x^2,x, algorithm=""maxima"")","\int \frac{{\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^p/x^2, x)","F",0
478,0,0,0,0.000000," ","integrate((a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^p/x^2-2/3*b^3*(1-2*p)*(1-p)*p*(a^2+2*a*b*x^(1/3)+b^2*x^(2/3))^p/a^3/x,x, algorithm=""maxima"")","\int -\frac{2 \, {\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{p} b^{3} {\left(2 \, p - 1\right)} {\left(p - 1\right)} p}{3 \, a^{3} x} + \frac{{\left(b^{2} x^{\frac{2}{3}} + 2 \, a b x^{\frac{1}{3}} + a^{2}\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate(-2/3*(b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^p*b^3*(2*p - 1)*(p - 1)*p/(a^3*x) + (b^2*x^(2/3) + 2*a*b*x^(1/3) + a^2)^p/x^2, x)","F",0
479,1,114,0,0.576413," ","integrate(1/(a^2+2*a*b*x^(1/4)+b^2*x^(1/2))^(3/2),x, algorithm=""maxima"")","\frac{4 \, \sqrt{x}}{\sqrt{b^{2} \sqrt{x} + 2 \, a b x^{\frac{1}{4}} + a^{2}} b^{2}} - \frac{12 \, a \log\left(x^{\frac{1}{4}} + \frac{a}{b}\right)}{b^{4}} + \frac{8 \, a^{2}}{\sqrt{b^{2} \sqrt{x} + 2 \, a b x^{\frac{1}{4}} + a^{2}} b^{4}} - \frac{24 \, a^{2} x^{\frac{1}{4}}}{b^{5} {\left(x^{\frac{1}{4}} + \frac{a}{b}\right)}^{2}} - \frac{22 \, a^{3}}{b^{6} {\left(x^{\frac{1}{4}} + \frac{a}{b}\right)}^{2}}"," ",0,"4*sqrt(x)/(sqrt(b^2*sqrt(x) + 2*a*b*x^(1/4) + a^2)*b^2) - 12*a*log(x^(1/4) + a/b)/b^4 + 8*a^2/(sqrt(b^2*sqrt(x) + 2*a*b*x^(1/4) + a^2)*b^4) - 24*a^2*x^(1/4)/(b^5*(x^(1/4) + a/b)^2) - 22*a^3/(b^6*(x^(1/4) + a/b)^2)","A",0
480,1,119,0,0.877722," ","integrate(1/(a^2+2*a*b*x^(1/6)+b^2*x^(1/3))^(5/2),x, algorithm=""maxima"")","\frac{12 \, b^{5} x^{\frac{5}{6}} + 48 \, a b^{4} x^{\frac{2}{3}} - 48 \, a^{2} b^{3} \sqrt{x} - 252 \, a^{3} b^{2} x^{\frac{1}{3}} - 248 \, a^{4} b x^{\frac{1}{6}} - 77 \, a^{5}}{2 \, {\left(b^{10} x^{\frac{2}{3}} + 4 \, a b^{9} \sqrt{x} + 6 \, a^{2} b^{8} x^{\frac{1}{3}} + 4 \, a^{3} b^{7} x^{\frac{1}{6}} + a^{4} b^{6}\right)}} - \frac{30 \, a \log\left(b x^{\frac{1}{6}} + a\right)}{b^{6}}"," ",0,"1/2*(12*b^5*x^(5/6) + 48*a*b^4*x^(2/3) - 48*a^2*b^3*sqrt(x) - 252*a^3*b^2*x^(1/3) - 248*a^4*b*x^(1/6) - 77*a^5)/(b^10*x^(2/3) + 4*a*b^9*sqrt(x) + 6*a^2*b^8*x^(1/3) + 4*a^3*b^7*x^(1/6) + a^4*b^6) - 30*a*log(b*x^(1/6) + a)/b^6","A",0
481,0,0,0,0.000000," ","integrate((a^2+b^2/x+2*a*b/x^(1/2))^(3/2),x, algorithm=""maxima"")","a^{3} x + 3 \, a b^{2} \int \frac{1}{x}\,{d x} + 6 \, a^{2} b \sqrt{x} - \frac{2 \, b^{3}}{\sqrt{x}}"," ",0,"a^3*x + 3*a*b^2*integrate(1/x, x) + 6*a^2*b*sqrt(x) - 2*b^3/sqrt(x)","F",0
482,1,79,0,0.598330," ","integrate((a^2+b^2/x^(2/3)+2*a*b/x^(1/3))^(7/2),x, algorithm=""maxima"")","35 \, a^{4} b^{3} \log\left(x\right) + \frac{4 \, a^{7} x^{\frac{7}{3}} + 42 \, a^{6} b x^{2} + 252 \, a^{5} b^{2} x^{\frac{5}{3}} - 420 \, a^{3} b^{4} x - 126 \, a^{2} b^{5} x^{\frac{2}{3}} - 28 \, a b^{6} x^{\frac{1}{3}} - 3 \, b^{7}}{4 \, x^{\frac{4}{3}}}"," ",0,"35*a^4*b^3*log(x) + 1/4*(4*a^7*x^(7/3) + 42*a^6*b*x^2 + 252*a^5*b^2*x^(5/3) - 420*a^3*b^4*x - 126*a^2*b^5*x^(2/3) - 28*a*b^6*x^(1/3) - 3*b^7)/x^(4/3)","A",0
483,1,57,0,0.635003," ","integrate((a^2+b^2/x^(2/3)+2*a*b/x^(1/3))^(5/2),x, algorithm=""maxima"")","10 \, a^{2} b^{3} \log\left(x\right) + \frac{2 \, a^{5} x^{\frac{5}{3}} + 15 \, a^{4} b x^{\frac{4}{3}} + 60 \, a^{3} b^{2} x - 30 \, a b^{4} x^{\frac{1}{3}} - 3 \, b^{5}}{2 \, x^{\frac{2}{3}}}"," ",0,"10*a^2*b^3*log(x) + 1/2*(2*a^5*x^(5/3) + 15*a^4*b*x^(4/3) + 60*a^3*b^2*x - 30*a*b^4*x^(1/3) - 3*b^5)/x^(2/3)","A",0
484,1,30,0,0.662555," ","integrate((a^2+b^2/x^(2/3)+2*a*b/x^(1/3))^(3/2),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
485,1,10,0,0.732890," ","integrate((a^2+b^2/x^(2/3)+2*a*b/x^(1/3))^(1/2),x, algorithm=""maxima"")","a x + \frac{3}{2} \, b x^{\frac{2}{3}}"," ",0,"a*x + 3/2*b*x^(2/3)","A",0
486,1,44,0,0.742520," ","integrate(1/(a^2+b^2/x^(2/3)+2*a*b/x^(1/3))^(1/2),x, algorithm=""maxima"")","-\frac{3 \, b^{3} \log\left(a x^{\frac{1}{3}} + b\right)}{a^{4}} + \frac{2 \, a^{2} x - 3 \, a b x^{\frac{2}{3}} + 6 \, b^{2} x^{\frac{1}{3}}}{2 \, a^{3}}"," ",0,"-3*b^3*log(a*x^(1/3) + b)/a^4 + 1/2*(2*a^2*x - 3*a*b*x^(2/3) + 6*b^2*x^(1/3))/a^3","A",0
487,1,97,0,1.068082," ","integrate(1/(a^2+b^2/x^(2/3)+2*a*b/x^(1/3))^(3/2),x, algorithm=""maxima"")","\frac{2 \, a^{5} x^{\frac{5}{3}} - 5 \, a^{4} b x^{\frac{4}{3}} + 20 \, a^{3} b^{2} x + 63 \, a^{2} b^{3} x^{\frac{2}{3}} + 6 \, a b^{4} x^{\frac{1}{3}} - 27 \, b^{5}}{2 \, {\left(a^{8} x^{\frac{2}{3}} + 2 \, a^{7} b x^{\frac{1}{3}} + a^{6} b^{2}\right)}} - \frac{30 \, b^{3} \log\left(a x^{\frac{1}{3}} + b\right)}{a^{6}}"," ",0,"1/2*(2*a^5*x^(5/3) - 5*a^4*b*x^(4/3) + 20*a^3*b^2*x + 63*a^2*b^3*x^(2/3) + 6*a*b^4*x^(1/3) - 27*b^5)/(a^8*x^(2/3) + 2*a^7*b*x^(1/3) + a^6*b^2) - 30*b^3*log(a*x^(1/3) + b)/a^6","A",0
488,1,139,0,0.854018," ","integrate(1/(a^2+b^2/x^(2/3)+2*a*b/x^(1/3))^(5/2),x, algorithm=""maxima"")","\frac{4 \, a^{7} x^{\frac{7}{3}} - 14 \, a^{6} b x^{2} + 84 \, a^{5} b^{2} x^{\frac{5}{3}} + 556 \, a^{4} b^{3} x^{\frac{4}{3}} + 544 \, a^{3} b^{4} x - 444 \, a^{2} b^{5} x^{\frac{2}{3}} - 856 \, a b^{6} x^{\frac{1}{3}} - 319 \, b^{7}}{4 \, {\left(a^{12} x^{\frac{4}{3}} + 4 \, a^{11} b x + 6 \, a^{10} b^{2} x^{\frac{2}{3}} + 4 \, a^{9} b^{3} x^{\frac{1}{3}} + a^{8} b^{4}\right)}} - \frac{105 \, b^{3} \log\left(a x^{\frac{1}{3}} + b\right)}{a^{8}}"," ",0,"1/4*(4*a^7*x^(7/3) - 14*a^6*b*x^2 + 84*a^5*b^2*x^(5/3) + 556*a^4*b^3*x^(4/3) + 544*a^3*b^4*x - 444*a^2*b^5*x^(2/3) - 856*a*b^6*x^(1/3) - 319*b^7)/(a^12*x^(4/3) + 4*a^11*b*x + 6*a^10*b^2*x^(2/3) + 4*a^9*b^3*x^(1/3) + a^8*b^4) - 105*b^3*log(a*x^(1/3) + b)/a^8","A",0
489,1,57,0,0.994649," ","integrate((a^2+2*a*b/x^(1/4)+b^2/x^(1/2))^(5/2),x, algorithm=""maxima"")","5 \, a b^{4} \log\left(x\right) + \frac{3 \, a^{5} x^{\frac{5}{4}} + 20 \, a^{4} b x + 60 \, a^{3} b^{2} x^{\frac{3}{4}} + 120 \, a^{2} b^{3} \sqrt{x} - 12 \, b^{5}}{3 \, x^{\frac{1}{4}}}"," ",0,"5*a*b^4*log(x) + 1/3*(3*a^5*x^(5/4) + 20*a^4*b*x + 60*a^3*b^2*x^(3/4) + 120*a^2*b^3*sqrt(x) - 12*b^5)/x^(1/4)","A",0
490,1,52,0,0.939893," ","integrate((a^2+b^2/x^(2/5)+2*a*b/x^(1/5))^(5/2),x, algorithm=""maxima"")","a^{5} x + b^{5} \log\left(x\right) + \frac{25}{4} \, a^{4} b x^{\frac{4}{5}} + \frac{50}{3} \, a^{3} b^{2} x^{\frac{3}{5}} + 25 \, a^{2} b^{3} x^{\frac{2}{5}} + 25 \, a b^{4} x^{\frac{1}{5}}"," ",0,"a^5*x + b^5*log(x) + 25/4*a^4*b*x^(4/5) + 50/3*a^3*b^2*x^(3/5) + 25*a^2*b^3*x^(2/5) + 25*a*b^4*x^(1/5)","A",0
491,1,99,0,1.022022," ","integrate(1/(a^2+2*a*b*x^(1/5)+b^2*x^(2/5))^(5/2),x, algorithm=""maxima"")","\frac{5 \, {\left(48 \, a b^{3} x^{\frac{3}{5}} + 108 \, a^{2} b^{2} x^{\frac{2}{5}} + 88 \, a^{3} b x^{\frac{1}{5}} + 25 \, a^{4}\right)}}{12 \, {\left(b^{9} x^{\frac{4}{5}} + 4 \, a b^{8} x^{\frac{3}{5}} + 6 \, a^{2} b^{7} x^{\frac{2}{5}} + 4 \, a^{3} b^{6} x^{\frac{1}{5}} + a^{4} b^{5}\right)}} + \frac{5 \, \log\left(b x^{\frac{1}{5}} + a\right)}{b^{5}}"," ",0,"5/12*(48*a*b^3*x^(3/5) + 108*a^2*b^2*x^(2/5) + 88*a^3*b*x^(1/5) + 25*a^4)/(b^9*x^(4/5) + 4*a*b^8*x^(3/5) + 6*a^2*b^7*x^(2/5) + 4*a^3*b^6*x^(1/5) + a^4*b^5) + 5*log(b*x^(1/5) + a)/b^5","A",0
492,1,79,0,0.946679," ","integrate((a^2+b^2/x^(1/3)+2*a*b/x^(1/6))^(7/2),x, algorithm=""maxima"")","7 \, a b^{6} \log\left(x\right) + \frac{10 \, a^{7} x^{\frac{7}{6}} + 84 \, a^{6} b x + 315 \, a^{5} b^{2} x^{\frac{5}{6}} + 700 \, a^{4} b^{3} x^{\frac{2}{3}} + 1050 \, a^{3} b^{4} \sqrt{x} + 1260 \, a^{2} b^{5} x^{\frac{1}{3}} - 60 \, b^{7}}{10 \, x^{\frac{1}{6}}}"," ",0,"7*a*b^6*log(x) + 1/10*(10*a^7*x^(7/6) + 84*a^6*b*x + 315*a^5*b^2*x^(5/6) + 700*a^4*b^3*x^(2/3) + 1050*a^3*b^4*sqrt(x) + 1260*a^2*b^5*x^(1/3) - 60*b^7)/x^(1/6)","A",0
493,1,45,0,0.934225," ","integrate(x^(-1+4*n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\frac{b^{2} \log\left(\frac{c x^{n} + b}{c}\right)}{c^{3} n} + \frac{c x^{2 \, n} - 2 \, b x^{n}}{2 \, c^{2} n}"," ",0,"b^2*log((c*x^n + b)/c)/(c^3*n) + 1/2*(c*x^(2*n) - 2*b*x^n)/(c^2*n)","A",0
494,1,32,0,0.871766," ","integrate(x^(-1+3*n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\frac{x^{n}}{c n} - \frac{b \log\left(\frac{c x^{n} + b}{c}\right)}{c^{2} n}"," ",0,"x^n/(c*n) - b*log((c*x^n + b)/c)/(c^2*n)","A",0
495,1,19,0,0.885180," ","integrate(x^(-1+2*n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\frac{\log\left(\frac{c x^{n} + b}{c}\right)}{c n}"," ",0,"log((c*x^n + b)/c)/(c*n)","A",0
496,1,27,0,0.895552," ","integrate(x^(-1+n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\frac{\log\left(x\right)}{b} - \frac{\log\left(\frac{c x^{n} + b}{c}\right)}{b n}"," ",0,"log(x)/b - log((c*x^n + b)/c)/(b*n)","A",0
497,1,58,0,0.910672," ","integrate(x^(-1-n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\frac{c^{2} \log\left(x\right)}{b^{3}} - \frac{c^{2} \log\left(\frac{c x^{n} + b}{c}\right)}{b^{3} n} + \frac{2 \, c x^{n} - b}{2 \, b^{2} n x^{2 \, n}}"," ",0,"c^2*log(x)/b^3 - c^2*log((c*x^n + b)/c)/(b^3*n) + 1/2*(2*c*x^n - b)/(b^2*n*x^(2*n))","A",0
498,1,71,0,0.909576," ","integrate(x^(-1-2*n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","-\frac{c^{3} \log\left(x\right)}{b^{4}} + \frac{c^{3} \log\left(\frac{c x^{n} + b}{c}\right)}{b^{4} n} - \frac{6 \, c^{2} x^{2 \, n} - 3 \, b c x^{n} + 2 \, b^{2}}{6 \, b^{3} n x^{3 \, n}}"," ",0,"-c^3*log(x)/b^4 + c^3*log((c*x^n + b)/c)/(b^4*n) - 1/6*(6*c^2*x^(2*n) - 3*b*c*x^n + 2*b^2)/(b^3*n*x^(3*n))","A",0
499,1,84,0,0.920979," ","integrate(x^(-1-3*n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\frac{c^{4} \log\left(x\right)}{b^{5}} - \frac{c^{4} \log\left(\frac{c x^{n} + b}{c}\right)}{b^{5} n} + \frac{12 \, c^{3} x^{3 \, n} - 6 \, b c^{2} x^{2 \, n} + 4 \, b^{2} c x^{n} - 3 \, b^{3}}{12 \, b^{4} n x^{4 \, n}}"," ",0,"c^4*log(x)/b^5 - c^4*log((c*x^n + b)/c)/(b^5*n) + 1/12*(12*c^3*x^(3*n) - 6*b*c^2*x^(2*n) + 4*b^2*c*x^n - 3*b^3)/(b^4*n*x^(4*n))","A",0
500,0,0,0,0.000000," ","integrate(x^(-1+1/4*n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","-c \int \frac{x^{\frac{1}{4} \, n}}{b c x x^{n} + b^{2} x}\,{d x} - \frac{4}{3 \, b n x^{\frac{3}{4} \, n}}"," ",0,"-c*integrate(x^(1/4*n)/(b*c*x*x^n + b^2*x), x) - 4/3/(b*n*x^(3/4*n))","F",0
501,0,0,0,0.000000," ","integrate(x^(-1+1/3*n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","-c \int \frac{x^{\frac{1}{3} \, n}}{b c x x^{n} + b^{2} x}\,{d x} - \frac{3}{2 \, b n x^{\frac{2}{3} \, n}}"," ",0,"-c*integrate(x^(1/3*n)/(b*c*x*x^n + b^2*x), x) - 3/2/(b*n*x^(2/3*n))","F",0
502,0,0,0,0.000000," ","integrate(x^(-1+1/2*n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","-c \int \frac{x^{\frac{1}{2} \, n}}{b c x x^{n} + b^{2} x}\,{d x} - \frac{2}{b n x^{\frac{1}{2} \, n}}"," ",0,"-c*integrate(x^(1/2*n)/(b*c*x*x^n + b^2*x), x) - 2/(b*n*x^(1/2*n))","F",0
503,0,0,0,0.000000," ","integrate(x^(-1-1/2*n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","c^{2} \int \frac{x^{\frac{1}{2} \, n}}{b^{2} c x x^{n} + b^{3} x}\,{d x} + \frac{2 \, {\left(3 \, c x^{n} - b\right)}}{3 \, b^{2} n x^{\frac{3}{2} \, n}}"," ",0,"c^2*integrate(x^(1/2*n)/(b^2*c*x*x^n + b^3*x), x) + 2/3*(3*c*x^n - b)/(b^2*n*x^(3/2*n))","F",0
504,0,0,0,0.000000," ","integrate(x^(-1-1/3*n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","c^{2} \int \frac{x^{\frac{2}{3} \, n}}{b^{2} c x x^{n} + b^{3} x}\,{d x} + \frac{3 \, {\left(4 \, c x^{n} - b\right)}}{4 \, b^{2} n x^{\frac{4}{3} \, n}}"," ",0,"c^2*integrate(x^(2/3*n)/(b^2*c*x*x^n + b^3*x), x) + 3/4*(4*c*x^n - b)/(b^2*n*x^(4/3*n))","F",0
505,0,0,0,0.000000," ","integrate(x^(-1-1/4*n)/(b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","c^{2} \int \frac{x^{\frac{3}{4} \, n}}{b^{2} c x x^{n} + b^{3} x}\,{d x} + \frac{4 \, {\left(5 \, c x^{n} - b\right)}}{5 \, b^{2} n x^{\frac{5}{4} \, n}}"," ",0,"c^2*integrate(x^(3/4*n)/(b^2*c*x*x^n + b^3*x), x) + 4/5*(5*c*x^n - b)/(b^2*n*x^(5/4*n))","F",0
506,1,43,0,1.105682," ","integrate(x^(-1-n*(-1+p))*(b*x^n+c*x^(2*n))^p,x, algorithm=""maxima"")","\frac{{\left(c x^{n} + b\right)} e^{\left(-n p \log\left(x\right) + p \log\left(c x^{n} + b\right) + p \log\left(x^{n}\right)\right)}}{c n {\left(p + 1\right)}}"," ",0,"(c*x^n + b)*e^(-n*p*log(x) + p*log(c*x^n + b) + p*log(x^n))/(c*n*(p + 1))","A",0
507,0,0,0,0.000000," ","integrate(x^(-1-n*(1+2*p))*(b*x^n+c*x^(2*n))^p,x, algorithm=""maxima"")","\int {\left(c x^{2 \, n} + b x^{n}\right)}^{p} x^{-n {\left(2 \, p + 1\right)} - 1}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n)^p*x^(-n*(2*p + 1) - 1), x)","F",0
508,1,74,0,0.922419," ","integrate(x^(-1+2*n)*(a^2+2*a*b*x^n+b^2*x^(2*n))^(5/2),x, algorithm=""maxima"")","\frac{6 \, b^{5} x^{7 \, n} + 35 \, a b^{4} x^{6 \, n} + 84 \, a^{2} b^{3} x^{5 \, n} + 105 \, a^{3} b^{2} x^{4 \, n} + 70 \, a^{4} b x^{3 \, n} + 21 \, a^{5} x^{2 \, n}}{42 \, n}"," ",0,"1/42*(6*b^5*x^(7*n) + 35*a*b^4*x^(6*n) + 84*a^2*b^3*x^(5*n) + 105*a^3*b^2*x^(4*n) + 70*a^4*b*x^(3*n) + 21*a^5*x^(2*n))/n","A",0
509,1,48,0,0.922415," ","integrate(x^(-1+2*n)*(a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2),x, algorithm=""maxima"")","\frac{4 \, b^{3} x^{5 \, n} + 15 \, a b^{2} x^{4 \, n} + 20 \, a^{2} b x^{3 \, n} + 10 \, a^{3} x^{2 \, n}}{20 \, n}"," ",0,"1/20*(4*b^3*x^(5*n) + 15*a*b^2*x^(4*n) + 20*a^2*b*x^(3*n) + 10*a^3*x^(2*n))/n","A",0
510,1,22,0,0.889695," ","integrate(x^(-1+2*n)*(a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2),x, algorithm=""maxima"")","\frac{2 \, b x^{3 \, n} + 3 \, a x^{2 \, n}}{6 \, n}"," ",0,"1/6*(2*b*x^(3*n) + 3*a*x^(2*n))/n","A",0
511,1,32,0,0.893696," ","integrate(x^(-1+2*n)/(a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2),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
512,1,41,0,0.915403," ","integrate(x^(-1+2*n)/(a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2),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
513,1,69,0,0.947178," ","integrate(x^(-1+2*n)/(a^2+2*a*b*x^n+b^2*x^(2*n))^(5/2),x, algorithm=""maxima"")","-\frac{4 \, b x^{n} + a}{12 \, {\left(b^{6} n x^{4 \, n} + 4 \, a b^{5} n x^{3 \, n} + 6 \, a^{2} b^{4} n x^{2 \, n} + 4 \, a^{3} b^{3} n x^{n} + a^{4} b^{2} n\right)}}"," ",0,"-1/12*(4*b*x^n + a)/(b^6*n*x^(4*n) + 4*a*b^5*n*x^(3*n) + 6*a^2*b^4*n*x^(2*n) + 4*a^3*b^3*n*x^n + a^4*b^2*n)","A",0
514,1,97,0,0.974722," ","integrate(x^(-1+2*n)/(a^2+2*a*b*x^n+b^2*x^(2*n))^(7/2),x, algorithm=""maxima"")","-\frac{6 \, b x^{n} + a}{30 \, {\left(b^{8} n x^{6 \, n} + 6 \, a b^{7} n x^{5 \, n} + 15 \, a^{2} b^{6} n x^{4 \, n} + 20 \, a^{3} b^{5} n x^{3 \, n} + 15 \, a^{4} b^{4} n x^{2 \, n} + 6 \, a^{5} b^{3} n x^{n} + a^{6} b^{2} n\right)}}"," ",0,"-1/30*(6*b*x^n + a)/(b^8*n*x^(6*n) + 6*a*b^7*n*x^(5*n) + 15*a^2*b^6*n*x^(4*n) + 20*a^3*b^5*n*x^(3*n) + 15*a^4*b^4*n*x^(2*n) + 6*a^5*b^3*n*x^n + a^6*b^2*n)","A",0
515,1,47,0,0.939913," ","integrate((d*x)^m*(a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2),x, algorithm=""maxima"")","\frac{a d^{m} {\left(m + n + 1\right)} x x^{m} + b d^{m} {\left(m + 1\right)} x e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}}{m^{2} + m {\left(n + 2\right)} + n + 1}"," ",0,"(a*d^m*(m + n + 1)*x*x^m + b*d^m*(m + 1)*x*e^(m*log(x) + n*log(x)))/(m^2 + m*(n + 2) + n + 1)","A",0
516,1,25,0,0.949438," ","integrate(x^2*(a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2),x, algorithm=""maxima"")","\frac{3 \, b x^{3} x^{n} + a {\left(n + 3\right)} x^{3}}{3 \, {\left(n + 3\right)}}"," ",0,"1/3*(3*b*x^3*x^n + a*(n + 3)*x^3)/(n + 3)","A",0
517,1,25,0,0.883427," ","integrate(x*(a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2),x, algorithm=""maxima"")","\frac{2 \, b x^{2} x^{n} + a {\left(n + 2\right)} x^{2}}{2 \, {\left(n + 2\right)}}"," ",0,"1/2*(2*b*x^2*x^n + a*(n + 2)*x^2)/(n + 2)","A",0
518,1,19,0,1.043075," ","integrate((a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2),x, algorithm=""maxima"")","\frac{a {\left(n + 1\right)} x + b x x^{n}}{n + 1}"," ",0,"(a*(n + 1)*x + b*x*x^n)/(n + 1)","A",0
519,1,13,0,0.797032," ","integrate((a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2)/x,x, algorithm=""maxima"")","a \log\left(x\right) + \frac{b x^{n}}{n}"," ",0,"a*log(x) + b*x^n/n","A",0
520,1,22,0,0.665439," ","integrate((a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2)/x^2,x, algorithm=""maxima"")","-\frac{a {\left(n - 1\right)} - b x^{n}}{{\left(n - 1\right)} x}"," ",0,"-(a*(n - 1) - b*x^n)/((n - 1)*x)","A",0
521,1,22,0,0.911328," ","integrate((a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{a {\left(n - 2\right)} - 2 \, b x^{n}}{2 \, {\left(n - 2\right)} x^{2}}"," ",0,"-1/2*(a*(n - 2) - 2*b*x^n)/((n - 2)*x^2)","A",0
522,1,276,0,0.993342," ","integrate((d*x)^m*(a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2),x, algorithm=""maxima"")","\frac{{\left(m^{3} + 3 \, m^{2} {\left(2 \, n + 1\right)} + 6 \, n^{3} + {\left(11 \, n^{2} + 12 \, n + 3\right)} m + 11 \, n^{2} + 6 \, n + 1\right)} a^{3} d^{m} x x^{m} + {\left(m^{3} + 3 \, m^{2} {\left(n + 1\right)} + {\left(2 \, n^{2} + 6 \, n + 3\right)} m + 2 \, n^{2} + 3 \, n + 1\right)} b^{3} d^{m} x e^{\left(m \log\left(x\right) + 3 \, n \log\left(x\right)\right)} + 3 \, {\left(m^{3} + m^{2} {\left(4 \, n + 3\right)} + {\left(3 \, n^{2} + 8 \, n + 3\right)} m + 3 \, n^{2} + 4 \, n + 1\right)} a b^{2} d^{m} x e^{\left(m \log\left(x\right) + 2 \, n \log\left(x\right)\right)} + 3 \, {\left(m^{3} + m^{2} {\left(5 \, n + 3\right)} + {\left(6 \, n^{2} + 10 \, n + 3\right)} m + 6 \, n^{2} + 5 \, n + 1\right)} a^{2} b d^{m} x e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}}{m^{4} + 2 \, m^{3} {\left(3 \, n + 2\right)} + {\left(11 \, n^{2} + 18 \, n + 6\right)} m^{2} + 6 \, n^{3} + 2 \, {\left(3 \, n^{3} + 11 \, n^{2} + 9 \, n + 2\right)} m + 11 \, n^{2} + 6 \, n + 1}"," ",0,"((m^3 + 3*m^2*(2*n + 1) + 6*n^3 + (11*n^2 + 12*n + 3)*m + 11*n^2 + 6*n + 1)*a^3*d^m*x*x^m + (m^3 + 3*m^2*(n + 1) + (2*n^2 + 6*n + 3)*m + 2*n^2 + 3*n + 1)*b^3*d^m*x*e^(m*log(x) + 3*n*log(x)) + 3*(m^3 + m^2*(4*n + 3) + (3*n^2 + 8*n + 3)*m + 3*n^2 + 4*n + 1)*a*b^2*d^m*x*e^(m*log(x) + 2*n*log(x)) + 3*(m^3 + m^2*(5*n + 3) + (6*n^2 + 10*n + 3)*m + 6*n^2 + 5*n + 1)*a^2*b*d^m*x*e^(m*log(x) + n*log(x)))/(m^4 + 2*m^3*(3*n + 2) + (11*n^2 + 18*n + 6)*m^2 + 6*n^3 + 2*(3*n^3 + 11*n^2 + 9*n + 2)*m + 11*n^2 + 6*n + 1)","A",0
523,1,108,0,0.928299," ","integrate(x^2*(a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2),x, algorithm=""maxima"")","\frac{{\left(2 \, n^{2} + 9 \, n + 9\right)} b^{3} x^{3} x^{3 \, n} + 9 \, {\left(n^{2} + 4 \, n + 3\right)} a b^{2} x^{3} x^{2 \, n} + 9 \, {\left(2 \, n^{2} + 5 \, n + 3\right)} a^{2} b x^{3} x^{n} + {\left(2 \, n^{3} + 11 \, n^{2} + 18 \, n + 9\right)} a^{3} x^{3}}{3 \, {\left(2 \, n^{3} + 11 \, n^{2} + 18 \, n + 9\right)}}"," ",0,"1/3*((2*n^2 + 9*n + 9)*b^3*x^3*x^(3*n) + 9*(n^2 + 4*n + 3)*a*b^2*x^3*x^(2*n) + 9*(2*n^2 + 5*n + 3)*a^2*b*x^3*x^n + (2*n^3 + 11*n^2 + 18*n + 9)*a^3*x^3)/(2*n^3 + 11*n^2 + 18*n + 9)","A",0
524,1,109,0,0.937047," ","integrate(x*(a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(n^{2} + 3 \, n + 2\right)} b^{3} x^{2} x^{3 \, n} + 3 \, {\left(3 \, n^{2} + 8 \, n + 4\right)} a b^{2} x^{2} x^{2 \, n} + 6 \, {\left(3 \, n^{2} + 5 \, n + 2\right)} a^{2} b x^{2} x^{n} + {\left(3 \, n^{3} + 11 \, n^{2} + 12 \, n + 4\right)} a^{3} x^{2}}{2 \, {\left(3 \, n^{3} + 11 \, n^{2} + 12 \, n + 4\right)}}"," ",0,"1/2*(2*(n^2 + 3*n + 2)*b^3*x^2*x^(3*n) + 3*(3*n^2 + 8*n + 4)*a*b^2*x^2*x^(2*n) + 6*(3*n^2 + 5*n + 2)*a^2*b*x^2*x^n + (3*n^3 + 11*n^2 + 12*n + 4)*a^3*x^2)/(3*n^3 + 11*n^2 + 12*n + 4)","A",0
525,1,101,0,0.945351," ","integrate((a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2),x, algorithm=""maxima"")","\frac{{\left(2 \, n^{2} + 3 \, n + 1\right)} b^{3} x x^{3 \, n} + 3 \, {\left(3 \, n^{2} + 4 \, n + 1\right)} a b^{2} x x^{2 \, n} + 3 \, {\left(6 \, n^{2} + 5 \, n + 1\right)} a^{2} b x x^{n} + {\left(6 \, n^{3} + 11 \, n^{2} + 6 \, n + 1\right)} a^{3} x}{6 \, n^{3} + 11 \, n^{2} + 6 \, n + 1}"," ",0,"((2*n^2 + 3*n + 1)*b^3*x*x^(3*n) + 3*(3*n^2 + 4*n + 1)*a*b^2*x*x^(2*n) + 3*(6*n^2 + 5*n + 1)*a^2*b*x*x^n + (6*n^3 + 11*n^2 + 6*n + 1)*a^3*x)/(6*n^3 + 11*n^2 + 6*n + 1)","A",0
526,1,43,0,0.901953," ","integrate((a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2)/x,x, algorithm=""maxima"")","a^{3} \log\left(x\right) + \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) + 1/6*(2*b^3*x^(3*n) + 9*a*b^2*x^(2*n) + 18*a^2*b*x^n)/n","A",0
527,1,101,0,0.944977," ","integrate((a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2)/x^2,x, algorithm=""maxima"")","\frac{{\left(2 \, n^{2} - 3 \, n + 1\right)} b^{3} x^{3 \, n} + 3 \, {\left(3 \, n^{2} - 4 \, n + 1\right)} a b^{2} x^{2 \, n} + 3 \, {\left(6 \, n^{2} - 5 \, n + 1\right)} a^{2} b x^{n} - {\left(6 \, n^{3} - 11 \, n^{2} + 6 \, n - 1\right)} a^{3}}{{\left(6 \, n^{3} - 11 \, n^{2} + 6 \, n - 1\right)} x}"," ",0,"((2*n^2 - 3*n + 1)*b^3*x^(3*n) + 3*(3*n^2 - 4*n + 1)*a*b^2*x^(2*n) + 3*(6*n^2 - 5*n + 1)*a^2*b*x^n - (6*n^3 - 11*n^2 + 6*n - 1)*a^3)/((6*n^3 - 11*n^2 + 6*n - 1)*x)","A",0
528,1,101,0,1.172486," ","integrate((a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2)/x^3,x, algorithm=""maxima"")","\frac{2 \, {\left(n^{2} - 3 \, n + 2\right)} b^{3} x^{3 \, n} + 3 \, {\left(3 \, n^{2} - 8 \, n + 4\right)} a b^{2} x^{2 \, n} + 6 \, {\left(3 \, n^{2} - 5 \, n + 2\right)} a^{2} b x^{n} - {\left(3 \, n^{3} - 11 \, n^{2} + 12 \, n - 4\right)} a^{3}}{2 \, {\left(3 \, n^{3} - 11 \, n^{2} + 12 \, n - 4\right)} x^{2}}"," ",0,"1/2*(2*(n^2 - 3*n + 2)*b^3*x^(3*n) + 3*(3*n^2 - 8*n + 4)*a*b^2*x^(2*n) + 6*(3*n^2 - 5*n + 2)*a^2*b*x^n - (3*n^3 - 11*n^2 + 12*n - 4)*a^3)/((3*n^3 - 11*n^2 + 12*n - 4)*x^2)","A",0
529,0,0,0,0.000000," ","integrate((d*x)^m/(a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{\sqrt{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}}}\,{d x}"," ",0,"integrate((d*x)^m/sqrt(b^2*x^(2*n) + 2*a*b*x^n + a^2), x)","F",0
530,0,0,0,0.000000," ","integrate(x^2/(a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}}}\,{d x}"," ",0,"integrate(x^2/sqrt(b^2*x^(2*n) + 2*a*b*x^n + a^2), x)","F",0
531,0,0,0,0.000000," ","integrate(x/(a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}}}\,{d x}"," ",0,"integrate(x/sqrt(b^2*x^(2*n) + 2*a*b*x^n + a^2), x)","F",0
532,0,0,0,0.000000," ","integrate(1/(a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}}}\,{d x}"," ",0,"integrate(1/sqrt(b^2*x^(2*n) + 2*a*b*x^n + a^2), x)","F",0
533,1,27,0,1.066401," ","integrate(1/x/(a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2),x, algorithm=""maxima"")","\frac{\log\left(x\right)}{a} - \frac{\log\left(\frac{b x^{n} + a}{b}\right)}{a n}"," ",0,"log(x)/a - log((b*x^n + a)/b)/(a*n)","A",0
534,0,0,0,0.000000," ","integrate(1/x^2/(a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(b^2*x^(2*n) + 2*a*b*x^n + a^2)*x^2), x)","F",0
535,0,0,0,0.000000," ","integrate(1/x^3/(a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(b^2*x^(2*n) + 2*a*b*x^n + a^2)*x^3), x)","F",0
536,0,0,0,0.000000," ","integrate((d*x)^m/(a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2),x, algorithm=""maxima"")","{\left(m^{2} - m {\left(3 \, n - 2\right)} + 2 \, n^{2} - 3 \, n + 1\right)} d^{m} \int \frac{x^{m}}{2 \, {\left(a^{2} b n^{2} x^{n} + a^{3} n^{2}\right)}}\,{d x} - \frac{a d^{m} {\left(m - 3 \, n + 1\right)} x x^{m} + b d^{m} {\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)*d^m*integrate(1/2*x^m/(a^2*b*n^2*x^n + a^3*n^2), x) - 1/2*(a*d^m*(m - 3*n + 1)*x*x^m + b*d^m*(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
537,0,0,0,0.000000," ","integrate(x^2/(a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2),x, algorithm=""maxima"")","{\left(2 \, n^{2} - 9 \, n + 9\right)} \int \frac{x^{2}}{2 \, {\left(a^{2} b n^{2} x^{n} + a^{3} n^{2}\right)}}\,{d x} + \frac{b {\left(2 \, n - 3\right)} x^{3} x^{n} + 3 \, a {\left(n - 1\right)} x^{3}}{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 - 9*n + 9)*integrate(1/2*x^2/(a^2*b*n^2*x^n + a^3*n^2), x) + 1/2*(b*(2*n - 3)*x^3*x^n + 3*a*(n - 1)*x^3)/(a^2*b^2*n^2*x^(2*n) + 2*a^3*b*n^2*x^n + a^4*n^2)","F",0
538,0,0,0,0.000000," ","integrate(x/(a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2),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
539,0,0,0,0.000000," ","integrate(1/(a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2),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
540,1,70,0,1.162196," ","integrate(1/x/(a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2),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(x\right)}{a^{3}} - \frac{\log\left(\frac{b x^{n} + a}{b}\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(x)/a^3 - log((b*x^n + a)/b)/(a^3*n)","A",0
541,0,0,0,0.000000," ","integrate(1/x^2/(a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2),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
542,0,0,0,0.000000," ","integrate(1/x^3/(a^2+2*a*b*x^n+b^2*x^(2*n))^(3/2),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
543,0,0,0,0.000000," ","integrate((a^2+b^2/(x^(2/(1+2*p)))+2*a*b/(x^(1/(1+2*p))))^p,x, algorithm=""maxima"")","\int {\left(a^{2} + \frac{b^{2}}{x^{\frac{2}{2 \, p + 1}}} + \frac{2 \, a b}{x^{\left(\frac{1}{2 \, p + 1}\right)}}\right)}^{p}\,{d x}"," ",0,"integrate((a^2 + b^2/x^(2/(2*p + 1)) + 2*a*b/x^(1/(2*p + 1)))^p, x)","F",0
544,0,0,0,0.000000," ","integrate(1/((a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2*(1+n)/n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}\right)}^{\frac{n + 1}{2 \, n}}}\,{d x}"," ",0,"integrate(1/((b^2*x^(2*n) + 2*a*b*x^n + a^2)^(1/2*(n + 1)/n)), x)","F",0
545,0,0,0,0.000000," ","integrate((a^2+b^2/(x^(1/(1+p)))+2*a*b/(x^(1/2/(1+p))))^p,x, algorithm=""maxima"")","\int {\left(a^{2} + \frac{2 \, a b}{x^{\frac{1}{2 \, {\left(p + 1\right)}}}} + \frac{b^{2}}{x^{\left(\frac{1}{p + 1}\right)}}\right)}^{p}\,{d x}"," ",0,"integrate((a^2 + 2*a*b/x^(1/2/(p + 1)) + b^2/x^(1/(p + 1)))^p, x)","F",0
546,0,0,0,0.000000," ","integrate(1/((a^2+2*a*b*x^n+b^2*x^(2*n))^(1/2*(1+2*n)/n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}\right)}^{\frac{2 \, n + 1}{2 \, n}}}\,{d x}"," ",0,"integrate(1/((b^2*x^(2*n) + 2*a*b*x^n + a^2)^(1/2*(2*n + 1)/n)), x)","F",0
547,0,0,0,0.000000," ","integrate((d*x)^(-1-2*n*(1+p))*(a^2+2*a*b*x^n+b^2*x^(2*n))^p,x, algorithm=""maxima"")","\int {\left(b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}\right)}^{p} \left(d x\right)^{-2 \, n {\left(p + 1\right)} - 1}\,{d x}"," ",0,"integrate((b^2*x^(2*n) + 2*a*b*x^n + a^2)^p*(d*x)^(-2*n*(p + 1) - 1), x)","F",0
548,1,59,0,1.233324," ","integrate(x^(-1+2*n)*(a^2+2*a*b*x^n+b^2*x^(2*n))^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(2 \, p + 1\right)} x^{2 \, n} + 2 \, a b p x^{n} - a^{2}\right)} {\left(b x^{n} + a\right)}^{2 \, p}}{2 \, {\left(2 \, p^{2} + 3 \, p + 1\right)} b^{2} n}"," ",0,"1/2*(b^2*(2*p + 1)*x^(2*n) + 2*a*b*p*x^n - a^2)*(b*x^n + a)^(2*p)/((2*p^2 + 3*p + 1)*b^2*n)","A",0
549,0,0,0,0.000000," ","integrate(x^(-1+4*n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\frac{{\left(b^{2} - a c\right)} \log\left(x\right)}{c^{3}} + \frac{c x^{2 \, n} - 2 \, b x^{n}}{2 \, c^{2} n} + \int -\frac{a b^{2} - a^{2} c + {\left(b^{3} - 2 \, a b c\right)} x^{n}}{c^{4} x x^{2 \, n} + b c^{3} x x^{n} + a c^{3} x}\,{d x}"," ",0,"(b^2 - a*c)*log(x)/c^3 + 1/2*(c*x^(2*n) - 2*b*x^n)/(c^2*n) + integrate(-(a*b^2 - a^2*c + (b^3 - 2*a*b*c)*x^n)/(c^4*x*x^(2*n) + b*c^3*x*x^n + a*c^3*x), x)","F",0
550,0,0,0,0.000000," ","integrate(x^(-1+3*n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","-\frac{b \log\left(x\right)}{c^{2}} + \frac{x^{n}}{c n} - \int -\frac{a b + {\left(b^{2} - a c\right)} x^{n}}{c^{3} x x^{2 \, n} + b c^{2} x x^{n} + a c^{2} x}\,{d x}"," ",0,"-b*log(x)/c^2 + x^n/(c*n) - integrate(-(a*b + (b^2 - a*c)*x^n)/(c^3*x*x^(2*n) + b*c^2*x*x^n + a*c^2*x), x)","F",0
551,0,0,0,0.000000," ","integrate(x^(-1+2*n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\frac{\log\left(x\right)}{c} - \int \frac{b x^{n} + a}{c^{2} x x^{2 \, n} + b c x x^{n} + a c x}\,{d x}"," ",0,"log(x)/c - integrate((b*x^n + a)/(c^2*x*x^(2*n) + b*c*x*x^n + a*c*x), x)","F",0
552,0,0,0,0.000000," ","integrate(x^(-1+n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{x^{n - 1}}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate(x^(n - 1)/(c*x^(2*n) + b*x^n + a), x)","F",0
553,0,0,0,0.000000," ","integrate(x^(-1-n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","-\frac{1}{a n x^{n}} - \int \frac{c x^{n} + b}{a c x x^{2 \, n} + a b x x^{n} + a^{2} x}\,{d x}"," ",0,"-1/(a*n*x^n) - integrate((c*x^n + b)/(a*c*x*x^(2*n) + a*b*x*x^n + a^2*x), x)","F",0
554,0,0,0,0.000000," ","integrate(x^(-1-2*n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\frac{2 \, b x^{n} - a}{2 \, a^{2} n x^{2 \, n}} + \int \frac{b c x^{n} + b^{2} - a c}{a^{2} c x x^{2 \, n} + a^{2} b x x^{n} + a^{3} x}\,{d x}"," ",0,"1/2*(2*b*x^n - a)/(a^2*n*x^(2*n)) + integrate((b*c*x^n + b^2 - a*c)/(a^2*c*x*x^(2*n) + a^2*b*x*x^n + a^3*x), x)","F",0
555,0,0,0,0.000000," ","integrate(x^(-1-3*n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\frac{3 \, a b x^{n} - 2 \, a^{2} - 6 \, {\left(b^{2} - a c\right)} x^{2 \, n}}{6 \, a^{3} n x^{3 \, n}} + \int -\frac{b^{3} - 2 \, a b c + {\left(b^{2} c - a c^{2}\right)} x^{n}}{a^{3} c x x^{2 \, n} + a^{3} b x x^{n} + a^{4} x}\,{d x}"," ",0,"1/6*(3*a*b*x^n - 2*a^2 - 6*(b^2 - a*c)*x^(2*n))/(a^3*n*x^(3*n)) + integrate(-(b^3 - 2*a*b*c + (b^2*c - a*c^2)*x^n)/(a^3*c*x*x^(2*n) + a^3*b*x*x^n + a^4*x), x)","F",0
556,0,0,0,0.000000," ","integrate(x^(-1+1/4*n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{x^{\frac{1}{4} \, n - 1}}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate(x^(1/4*n - 1)/(c*x^(2*n) + b*x^n + a), x)","F",0
557,0,0,0,0.000000," ","integrate(x^(-1+1/3*n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{x^{\frac{1}{3} \, n - 1}}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate(x^(1/3*n - 1)/(c*x^(2*n) + b*x^n + a), x)","F",0
558,0,0,0,0.000000," ","integrate(x^(-1+1/2*n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{x^{\frac{1}{2} \, n - 1}}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate(x^(1/2*n - 1)/(c*x^(2*n) + b*x^n + a), x)","F",0
559,0,0,0,0.000000," ","integrate(x^(-1-1/2*n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","-\frac{2}{a n x^{\frac{1}{2} \, n}} - \int \frac{c x^{\frac{3}{2} \, n} + b x^{\frac{1}{2} \, n}}{a c x x^{2 \, n} + a b x x^{n} + a^{2} x}\,{d x}"," ",0,"-2/(a*n*x^(1/2*n)) - integrate((c*x^(3/2*n) + b*x^(1/2*n))/(a*c*x*x^(2*n) + a*b*x*x^n + a^2*x), x)","F",0
560,0,0,0,0.000000," ","integrate(x^(-1-1/3*n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","-\frac{3}{a n x^{\frac{1}{3} \, n}} - \int \frac{c x^{\frac{5}{3} \, n} + b x^{\frac{2}{3} \, n}}{a c x x^{2 \, n} + a b x x^{n} + a^{2} x}\,{d x}"," ",0,"-3/(a*n*x^(1/3*n)) - integrate((c*x^(5/3*n) + b*x^(2/3*n))/(a*c*x*x^(2*n) + a*b*x*x^n + a^2*x), x)","F",0
561,0,0,0,0.000000," ","integrate(x^(-1-1/4*n)/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","-\frac{4}{a n x^{\frac{1}{4} \, n}} - \int \frac{c x^{\frac{7}{4} \, n} + b x^{\frac{3}{4} \, n}}{a c x x^{2 \, n} + a b x x^{n} + a^{2} x}\,{d x}"," ",0,"-4/(a*n*x^(1/4*n)) - integrate((c*x^(7/4*n) + b*x^(3/4*n))/(a*c*x*x^(2*n) + a*b*x*x^n + a^2*x), x)","F",0
562,0,0,0,0.000000," ","integrate(x^2/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{x^{2}}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate(x^2/(c*x^(2*n) + b*x^n + a), x)","F",0
563,0,0,0,0.000000," ","integrate(x/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{x}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate(x/(c*x^(2*n) + b*x^n + a), x)","F",0
564,0,0,0,0.000000," ","integrate(1/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{1}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate(1/(c*x^(2*n) + b*x^n + a), x)","F",0
565,0,0,0,0.000000," ","integrate(1/x/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2 \, n} + b x^{n} + a\right)} x}\,{d x}"," ",0,"integrate(1/((c*x^(2*n) + b*x^n + a)*x), x)","F",0
566,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2 \, n} + b x^{n} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((c*x^(2*n) + b*x^n + a)*x^2), x)","F",0
567,0,0,0,0.000000," ","integrate(1/x^3/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2 \, n} + b x^{n} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((c*x^(2*n) + b*x^n + a)*x^3), x)","F",0
568,0,0,0,0.000000," ","integrate(x^3*(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2 \, n} + b x^{n} + a} x^{3}\,{d x}"," ",0,"integrate(sqrt(c*x^(2*n) + b*x^n + a)*x^3, x)","F",0
569,0,0,0,0.000000," ","integrate(x^2*(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2 \, n} + b x^{n} + a} x^{2}\,{d x}"," ",0,"integrate(sqrt(c*x^(2*n) + b*x^n + a)*x^2, x)","F",0
570,0,0,0,0.000000," ","integrate(x*(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2 \, n} + b x^{n} + a} x\,{d x}"," ",0,"integrate(sqrt(c*x^(2*n) + b*x^n + a)*x, x)","F",0
571,0,0,0,0.000000," ","integrate((a+b*x^n+c*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate(sqrt(c*x^(2*n) + b*x^n + a), x)","F",0
572,0,0,0,0.000000," ","integrate((a+b*x^n+c*x^(2*n))^(1/2)/x,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2 \, n} + b x^{n} + a}}{x}\,{d x}"," ",0,"integrate(sqrt(c*x^(2*n) + b*x^n + a)/x, x)","F",0
573,0,0,0,0.000000," ","integrate((a+b*x^n+c*x^(2*n))^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2 \, n} + b x^{n} + a}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^(2*n) + b*x^n + a)/x^2, x)","F",0
574,0,0,0,0.000000," ","integrate((a+b*x^n+c*x^(2*n))^(1/2)/x^3,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{2 \, n} + b x^{n} + a}}{x^{3}}\,{d x}"," ",0,"integrate(sqrt(c*x^(2*n) + b*x^n + a)/x^3, x)","F",0
575,0,0,0,0.000000," ","integrate(x^3*(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}} x^{3}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^(3/2)*x^3, x)","F",0
576,0,0,0,0.000000," ","integrate(x^2*(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}} x^{2}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^(3/2)*x^2, x)","F",0
577,0,0,0,0.000000," ","integrate(x*(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}} x\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^(3/2)*x, x)","F",0
578,0,0,0,0.000000," ","integrate((a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^(3/2), x)","F",0
579,0,0,0,0.000000," ","integrate((a+b*x^n+c*x^(2*n))^(3/2)/x,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}}}{x}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^(3/2)/x, x)","F",0
580,0,0,0,0.000000," ","integrate((a+b*x^n+c*x^(2*n))^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}}}{x^{2}}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^(3/2)/x^2, x)","F",0
581,0,0,0,0.000000," ","integrate((a+b*x^n+c*x^(2*n))^(3/2)/x^3,x, algorithm=""maxima"")","\int \frac{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}}}{x^{3}}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^(3/2)/x^3, x)","F",0
582,0,0,0,0.000000," ","integrate(x^3/(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{c x^{2 \, n} + b x^{n} + a}}\,{d x}"," ",0,"integrate(x^3/sqrt(c*x^(2*n) + b*x^n + a), x)","F",0
583,0,0,0,0.000000," ","integrate(x^2/(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{c x^{2 \, n} + b x^{n} + a}}\,{d x}"," ",0,"integrate(x^2/sqrt(c*x^(2*n) + b*x^n + a), x)","F",0
584,0,0,0,0.000000," ","integrate(x/(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{c x^{2 \, n} + b x^{n} + a}}\,{d x}"," ",0,"integrate(x/sqrt(c*x^(2*n) + b*x^n + a), x)","F",0
585,0,0,0,0.000000," ","integrate(1/(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2 \, n} + b x^{n} + a}}\,{d x}"," ",0,"integrate(1/sqrt(c*x^(2*n) + b*x^n + a), x)","F",0
586,0,0,0,0.000000," ","integrate(1/x/(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2 \, n} + b x^{n} + a} x}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^(2*n) + b*x^n + a)*x), x)","F",0
587,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2 \, n} + b x^{n} + a} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^(2*n) + b*x^n + a)*x^2), x)","F",0
588,0,0,0,0.000000," ","integrate(1/x^3/(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{2 \, n} + b x^{n} + a} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^(2*n) + b*x^n + a)*x^3), x)","F",0
589,0,0,0,0.000000," ","integrate(x^3/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^3/(c*x^(2*n) + b*x^n + a)^(3/2), x)","F",0
590,0,0,0,0.000000," ","integrate(x^2/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/(c*x^(2*n) + b*x^n + a)^(3/2), x)","F",0
591,0,0,0,0.000000," ","integrate(x/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x/(c*x^(2*n) + b*x^n + a)^(3/2), x)","F",0
592,0,0,0,0.000000," ","integrate(1/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^(-3/2), x)","F",0
593,0,0,0,0.000000," ","integrate(1/x/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate(1/((c*x^(2*n) + b*x^n + a)^(3/2)*x), x)","F",0
594,0,0,0,0.000000," ","integrate(1/x^2/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((c*x^(2*n) + b*x^n + a)^(3/2)*x^2), x)","F",0
595,0,0,0,0.000000," ","integrate(1/x^3/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate(1/((c*x^(2*n) + b*x^n + a)^(3/2)*x^3), x)","F",0
596,1,273,0,1.298662," ","integrate((d*x)^m*(a+b*x^n+c*x^(2*n))^3,x, algorithm=""maxima"")","\frac{c^{3} d^{m} x e^{\left(m \log\left(x\right) + 6 \, n \log\left(x\right)\right)}}{m + 6 \, n + 1} + \frac{3 \, b c^{2} d^{m} x e^{\left(m \log\left(x\right) + 5 \, n \log\left(x\right)\right)}}{m + 5 \, n + 1} + \frac{3 \, b^{2} c d^{m} x e^{\left(m \log\left(x\right) + 4 \, n \log\left(x\right)\right)}}{m + 4 \, n + 1} + \frac{3 \, a c^{2} d^{m} x e^{\left(m \log\left(x\right) + 4 \, n \log\left(x\right)\right)}}{m + 4 \, n + 1} + \frac{b^{3} d^{m} x e^{\left(m \log\left(x\right) + 3 \, n \log\left(x\right)\right)}}{m + 3 \, n + 1} + \frac{6 \, a b c d^{m} x e^{\left(m \log\left(x\right) + 3 \, n \log\left(x\right)\right)}}{m + 3 \, n + 1} + \frac{3 \, a b^{2} d^{m} x e^{\left(m \log\left(x\right) + 2 \, n \log\left(x\right)\right)}}{m + 2 \, n + 1} + \frac{3 \, a^{2} c d^{m} x e^{\left(m \log\left(x\right) + 2 \, n \log\left(x\right)\right)}}{m + 2 \, n + 1} + \frac{3 \, a^{2} b d^{m} x e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}}{m + n + 1} + \frac{\left(d x\right)^{m + 1} a^{3}}{d {\left(m + 1\right)}}"," ",0,"c^3*d^m*x*e^(m*log(x) + 6*n*log(x))/(m + 6*n + 1) + 3*b*c^2*d^m*x*e^(m*log(x) + 5*n*log(x))/(m + 5*n + 1) + 3*b^2*c*d^m*x*e^(m*log(x) + 4*n*log(x))/(m + 4*n + 1) + 3*a*c^2*d^m*x*e^(m*log(x) + 4*n*log(x))/(m + 4*n + 1) + b^3*d^m*x*e^(m*log(x) + 3*n*log(x))/(m + 3*n + 1) + 6*a*b*c*d^m*x*e^(m*log(x) + 3*n*log(x))/(m + 3*n + 1) + 3*a*b^2*d^m*x*e^(m*log(x) + 2*n*log(x))/(m + 2*n + 1) + 3*a^2*c*d^m*x*e^(m*log(x) + 2*n*log(x))/(m + 2*n + 1) + 3*a^2*b*d^m*x*e^(m*log(x) + n*log(x))/(m + n + 1) + (d*x)^(m + 1)*a^3/(d*(m + 1))","A",0
597,1,152,0,1.265424," ","integrate((d*x)^m*(a+b*x^n+c*x^(2*n))^2,x, algorithm=""maxima"")","\frac{c^{2} d^{m} x e^{\left(m \log\left(x\right) + 4 \, n \log\left(x\right)\right)}}{m + 4 \, n + 1} + \frac{2 \, b c d^{m} x e^{\left(m \log\left(x\right) + 3 \, n \log\left(x\right)\right)}}{m + 3 \, n + 1} + \frac{b^{2} d^{m} x e^{\left(m \log\left(x\right) + 2 \, n \log\left(x\right)\right)}}{m + 2 \, n + 1} + \frac{2 \, a c d^{m} x e^{\left(m \log\left(x\right) + 2 \, n \log\left(x\right)\right)}}{m + 2 \, n + 1} + \frac{2 \, a b d^{m} x e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}}{m + n + 1} + \frac{\left(d x\right)^{m + 1} a^{2}}{d {\left(m + 1\right)}}"," ",0,"c^2*d^m*x*e^(m*log(x) + 4*n*log(x))/(m + 4*n + 1) + 2*b*c*d^m*x*e^(m*log(x) + 3*n*log(x))/(m + 3*n + 1) + b^2*d^m*x*e^(m*log(x) + 2*n*log(x))/(m + 2*n + 1) + 2*a*c*d^m*x*e^(m*log(x) + 2*n*log(x))/(m + 2*n + 1) + 2*a*b*d^m*x*e^(m*log(x) + n*log(x))/(m + n + 1) + (d*x)^(m + 1)*a^2/(d*(m + 1))","A",0
598,1,65,0,1.123564," ","integrate((d*x)^m*(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\frac{c d^{m} x e^{\left(m \log\left(x\right) + 2 \, n \log\left(x\right)\right)}}{m + 2 \, n + 1} + \frac{b d^{m} x e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}}{m + n + 1} + \frac{\left(d x\right)^{m + 1} a}{d {\left(m + 1\right)}}"," ",0,"c*d^m*x*e^(m*log(x) + 2*n*log(x))/(m + 2*n + 1) + b*d^m*x*e^(m*log(x) + n*log(x))/(m + n + 1) + (d*x)^(m + 1)*a/(d*(m + 1))","A",0
599,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*x^n+c*x^(2*n)),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{c x^{2 \, n} + b x^{n} + a}\,{d x}"," ",0,"integrate((d*x)^m/(c*x^(2*n) + b*x^n + a), x)","F",0
600,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*x^n+c*x^(2*n))^2,x, algorithm=""maxima"")","\frac{b c d^{m} x e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)} + {\left(b^{2} d^{m} - 2 \, a c d^{m}\right)} x x^{m}}{a^{2} b^{2} n - 4 \, a^{3} c n + {\left(a b^{2} c n - 4 \, a^{2} c^{2} n\right)} x^{2 \, n} + {\left(a b^{3} n - 4 \, a^{2} b c n\right)} x^{n}} + \int -\frac{b c d^{m} {\left(m - n + 1\right)} e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)} + {\left(b^{2} d^{m} {\left(m - n + 1\right)} - 2 \, a c d^{m} {\left(m - 2 \, n + 1\right)}\right)} x^{m}}{a^{2} b^{2} n - 4 \, a^{3} c n + {\left(a b^{2} c n - 4 \, a^{2} c^{2} n\right)} x^{2 \, n} + {\left(a b^{3} n - 4 \, a^{2} b c n\right)} x^{n}}\,{d x}"," ",0,"(b*c*d^m*x*e^(m*log(x) + n*log(x)) + (b^2*d^m - 2*a*c*d^m)*x*x^m)/(a^2*b^2*n - 4*a^3*c*n + (a*b^2*c*n - 4*a^2*c^2*n)*x^(2*n) + (a*b^3*n - 4*a^2*b*c*n)*x^n) + integrate(-(b*c*d^m*(m - n + 1)*e^(m*log(x) + n*log(x)) + (b^2*d^m*(m - n + 1) - 2*a*c*d^m*(m - 2*n + 1))*x^m)/(a^2*b^2*n - 4*a^3*c*n + (a*b^2*c*n - 4*a^2*c^2*n)*x^(2*n) + (a*b^3*n - 4*a^2*b*c*n)*x^n), x)","F",0
601,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*x^n+c*x^(2*n))^3,x, algorithm=""maxima"")","\frac{{\left(a^{2} b^{2} c d^{m} {\left(5 \, m - 21 \, n + 5\right)} - a b^{4} d^{m} {\left(m - 3 \, n + 1\right)} - 4 \, a^{3} c^{2} d^{m} {\left(m - 6 \, n + 1\right)}\right)} x x^{m} + {\left(2 \, a b c^{3} d^{m} {\left(2 \, m - 7 \, n + 2\right)} - b^{3} c^{2} d^{m} {\left(m - 2 \, n + 1\right)}\right)} x e^{\left(m \log\left(x\right) + 3 \, n \log\left(x\right)\right)} + {\left(a b^{2} c^{2} d^{m} {\left(9 \, m - 29 \, n + 9\right)} - 2 \, b^{4} c d^{m} {\left(m - 2 \, n + 1\right)} - 4 \, a^{2} c^{3} d^{m} {\left(m - 4 \, n + 1\right)}\right)} x e^{\left(m \log\left(x\right) + 2 \, n \log\left(x\right)\right)} - {\left(b^{5} d^{m} {\left(m - 2 \, n + 1\right)} - 4 \, a b^{3} c d^{m} {\left(m - 3 \, n + 1\right)} + 2 \, a^{2} b c^{2} d^{m} n\right)} x e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}}{2 \, {\left(a^{4} b^{4} n^{2} - 8 \, a^{5} b^{2} c n^{2} + 16 \, a^{6} c^{2} n^{2} + {\left(a^{2} b^{4} c^{2} n^{2} - 8 \, a^{3} b^{2} c^{3} n^{2} + 16 \, a^{4} c^{4} n^{2}\right)} x^{4 \, n} + 2 \, {\left(a^{2} b^{5} c n^{2} - 8 \, a^{3} b^{3} c^{2} n^{2} + 16 \, a^{4} b c^{3} n^{2}\right)} x^{3 \, n} + {\left(a^{2} b^{6} n^{2} - 6 \, a^{3} b^{4} c n^{2} + 32 \, a^{5} c^{3} n^{2}\right)} x^{2 \, n} + 2 \, {\left(a^{3} b^{5} n^{2} - 8 \, a^{4} b^{3} c n^{2} + 16 \, a^{5} b c^{2} n^{2}\right)} x^{n}\right)}} - \int -\frac{{\left({\left(m^{2} - m {\left(3 \, n - 2\right)} + 2 \, n^{2} - 3 \, n + 1\right)} b^{4} d^{m} - {\left(5 \, m^{2} - m {\left(21 \, n - 10\right)} + 16 \, n^{2} - 21 \, n + 5\right)} a b^{2} c d^{m} + 4 \, {\left(m^{2} - 2 \, m {\left(3 \, n - 1\right)} + 8 \, n^{2} - 6 \, n + 1\right)} a^{2} c^{2} d^{m}\right)} x^{m} + {\left({\left(m^{2} - m {\left(3 \, n - 2\right)} + 2 \, n^{2} - 3 \, n + 1\right)} b^{3} c d^{m} - 2 \, {\left(2 \, m^{2} - m {\left(9 \, n - 4\right)} + 7 \, n^{2} - 9 \, n + 2\right)} a b c^{2} d^{m}\right)} e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}}{2 \, {\left(a^{3} b^{4} n^{2} - 8 \, a^{4} b^{2} c n^{2} + 16 \, a^{5} c^{2} n^{2} + {\left(a^{2} b^{4} c n^{2} - 8 \, a^{3} b^{2} c^{2} n^{2} + 16 \, a^{4} c^{3} n^{2}\right)} x^{2 \, n} + {\left(a^{2} b^{5} n^{2} - 8 \, a^{3} b^{3} c n^{2} + 16 \, a^{4} b c^{2} n^{2}\right)} x^{n}\right)}}\,{d x}"," ",0,"1/2*((a^2*b^2*c*d^m*(5*m - 21*n + 5) - a*b^4*d^m*(m - 3*n + 1) - 4*a^3*c^2*d^m*(m - 6*n + 1))*x*x^m + (2*a*b*c^3*d^m*(2*m - 7*n + 2) - b^3*c^2*d^m*(m - 2*n + 1))*x*e^(m*log(x) + 3*n*log(x)) + (a*b^2*c^2*d^m*(9*m - 29*n + 9) - 2*b^4*c*d^m*(m - 2*n + 1) - 4*a^2*c^3*d^m*(m - 4*n + 1))*x*e^(m*log(x) + 2*n*log(x)) - (b^5*d^m*(m - 2*n + 1) - 4*a*b^3*c*d^m*(m - 3*n + 1) + 2*a^2*b*c^2*d^m*n)*x*e^(m*log(x) + n*log(x)))/(a^4*b^4*n^2 - 8*a^5*b^2*c*n^2 + 16*a^6*c^2*n^2 + (a^2*b^4*c^2*n^2 - 8*a^3*b^2*c^3*n^2 + 16*a^4*c^4*n^2)*x^(4*n) + 2*(a^2*b^5*c*n^2 - 8*a^3*b^3*c^2*n^2 + 16*a^4*b*c^3*n^2)*x^(3*n) + (a^2*b^6*n^2 - 6*a^3*b^4*c*n^2 + 32*a^5*c^3*n^2)*x^(2*n) + 2*(a^3*b^5*n^2 - 8*a^4*b^3*c*n^2 + 16*a^5*b*c^2*n^2)*x^n) - integrate(-1/2*(((m^2 - m*(3*n - 2) + 2*n^2 - 3*n + 1)*b^4*d^m - (5*m^2 - m*(21*n - 10) + 16*n^2 - 21*n + 5)*a*b^2*c*d^m + 4*(m^2 - 2*m*(3*n - 1) + 8*n^2 - 6*n + 1)*a^2*c^2*d^m)*x^m + ((m^2 - m*(3*n - 2) + 2*n^2 - 3*n + 1)*b^3*c*d^m - 2*(2*m^2 - m*(9*n - 4) + 7*n^2 - 9*n + 2)*a*b*c^2*d^m)*e^(m*log(x) + n*log(x)))/(a^3*b^4*n^2 - 8*a^4*b^2*c*n^2 + 16*a^5*c^2*n^2 + (a^2*b^4*c*n^2 - 8*a^3*b^2*c^2*n^2 + 16*a^4*c^3*n^2)*x^(2*n) + (a^2*b^5*n^2 - 8*a^3*b^3*c*n^2 + 16*a^4*b*c^2*n^2)*x^n), x)","F",0
602,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^(3/2)*(d*x)^m, x)","F",0
603,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2 \, n} + b x^{n} + a} \left(d x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^(2*n) + b*x^n + a)*(d*x)^m, x)","F",0
604,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{\sqrt{c x^{2 \, n} + b x^{n} + a}}\,{d x}"," ",0,"integrate((d*x)^m/sqrt(c*x^(2*n) + b*x^n + a), x)","F",0
605,0,0,0,0.000000," ","integrate((d*x)^m/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(d x\right)^{m}}{{\left(c x^{2 \, n} + b x^{n} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*x)^m/(c*x^(2*n) + b*x^n + a)^(3/2), x)","F",0
606,0,0,0,0.000000," ","integrate((d*x)^m*(a+b*x^n+c*x^(2*n))^p,x, algorithm=""maxima"")","\int {\left(c x^{2 \, n} + b x^{n} + a\right)}^{p} \left(d x\right)^{m}\,{d x}"," ",0,"integrate((c*x^(2*n) + b*x^n + a)^p*(d*x)^m, x)","F",0
607,1,142,0,1.018405," ","integrate((e*x+d)^3*(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\frac{1}{8} \, c e^{7} x^{8} + c d e^{6} x^{7} + \frac{1}{6} \, {\left(21 \, c d^{2} + b\right)} e^{5} x^{6} + {\left(7 \, c d^{3} + b d\right)} e^{4} x^{5} + \frac{1}{4} \, {\left(35 \, c d^{4} + 10 \, b d^{2} + a\right)} e^{3} x^{4} + \frac{1}{3} \, {\left(21 \, c d^{5} + 10 \, b d^{3} + 3 \, a d\right)} e^{2} x^{3} + \frac{1}{2} \, {\left(7 \, c d^{6} + 5 \, b d^{4} + 3 \, a d^{2}\right)} e x^{2} + {\left(c d^{7} + b d^{5} + a d^{3}\right)} x"," ",0,"1/8*c*e^7*x^8 + c*d*e^6*x^7 + 1/6*(21*c*d^2 + b)*e^5*x^6 + (7*c*d^3 + b*d)*e^4*x^5 + 1/4*(35*c*d^4 + 10*b*d^2 + a)*e^3*x^4 + 1/3*(21*c*d^5 + 10*b*d^3 + 3*a*d)*e^2*x^3 + 1/2*(7*c*d^6 + 5*b*d^4 + 3*a*d^2)*e*x^2 + (c*d^7 + b*d^5 + a*d^3)*x","B",0
608,1,403,0,1.060643," ","integrate((e*x+d)^3*(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","\frac{1}{12} \, c^{2} e^{11} x^{12} + c^{2} d e^{10} x^{11} + \frac{1}{10} \, {\left(55 \, c^{2} d^{2} + 2 \, b c\right)} e^{9} x^{10} + \frac{1}{3} \, {\left(55 \, c^{2} d^{3} + 6 \, b c d\right)} e^{8} x^{9} + \frac{1}{8} \, {\left(330 \, c^{2} d^{4} + 72 \, b c d^{2} + b^{2} + 2 \, a c\right)} e^{7} x^{8} + {\left(66 \, c^{2} d^{5} + 24 \, b c d^{3} + {\left(b^{2} + 2 \, a c\right)} d\right)} e^{6} x^{7} + \frac{1}{6} \, {\left(462 \, c^{2} d^{6} + 252 \, b c d^{4} + 21 \, {\left(b^{2} + 2 \, a c\right)} d^{2} + 2 \, a b\right)} e^{5} x^{6} + \frac{1}{5} \, {\left(330 \, c^{2} d^{7} + 252 \, b c d^{5} + 35 \, {\left(b^{2} + 2 \, a c\right)} d^{3} + 10 \, a b d\right)} e^{4} x^{5} + \frac{1}{4} \, {\left(165 \, c^{2} d^{8} + 168 \, b c d^{6} + 35 \, {\left(b^{2} + 2 \, a c\right)} d^{4} + 20 \, a b d^{2} + a^{2}\right)} e^{3} x^{4} + \frac{1}{3} \, {\left(55 \, c^{2} d^{9} + 72 \, b c d^{7} + 21 \, {\left(b^{2} + 2 \, a c\right)} d^{5} + 20 \, a b d^{3} + 3 \, a^{2} d\right)} e^{2} x^{3} + \frac{1}{2} \, {\left(11 \, c^{2} d^{10} + 18 \, b c d^{8} + 7 \, {\left(b^{2} + 2 \, a c\right)} d^{6} + 10 \, a b d^{4} + 3 \, a^{2} d^{2}\right)} e x^{2} + {\left(c^{2} d^{11} + 2 \, b c d^{9} + {\left(b^{2} + 2 \, a c\right)} d^{7} + 2 \, a b d^{5} + a^{2} d^{3}\right)} x"," ",0,"1/12*c^2*e^11*x^12 + c^2*d*e^10*x^11 + 1/10*(55*c^2*d^2 + 2*b*c)*e^9*x^10 + 1/3*(55*c^2*d^3 + 6*b*c*d)*e^8*x^9 + 1/8*(330*c^2*d^4 + 72*b*c*d^2 + b^2 + 2*a*c)*e^7*x^8 + (66*c^2*d^5 + 24*b*c*d^3 + (b^2 + 2*a*c)*d)*e^6*x^7 + 1/6*(462*c^2*d^6 + 252*b*c*d^4 + 21*(b^2 + 2*a*c)*d^2 + 2*a*b)*e^5*x^6 + 1/5*(330*c^2*d^7 + 252*b*c*d^5 + 35*(b^2 + 2*a*c)*d^3 + 10*a*b*d)*e^4*x^5 + 1/4*(165*c^2*d^8 + 168*b*c*d^6 + 35*(b^2 + 2*a*c)*d^4 + 20*a*b*d^2 + a^2)*e^3*x^4 + 1/3*(55*c^2*d^9 + 72*b*c*d^7 + 21*(b^2 + 2*a*c)*d^5 + 20*a*b*d^3 + 3*a^2*d)*e^2*x^3 + 1/2*(11*c^2*d^10 + 18*b*c*d^8 + 7*(b^2 + 2*a*c)*d^6 + 10*a*b*d^4 + 3*a^2*d^2)*e*x^2 + (c^2*d^11 + 2*b*c*d^9 + (b^2 + 2*a*c)*d^7 + 2*a*b*d^5 + a^2*d^3)*x","B",0
609,1,872,0,1.129289," ","integrate((e*x+d)^3*(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\frac{1}{16} \, c^{3} e^{15} x^{16} + c^{3} d e^{14} x^{15} + \frac{3}{14} \, {\left(35 \, c^{3} d^{2} + b c^{2}\right)} e^{13} x^{14} + {\left(35 \, c^{3} d^{3} + 3 \, b c^{2} d\right)} e^{12} x^{13} + \frac{1}{4} \, {\left(455 \, c^{3} d^{4} + 78 \, b c^{2} d^{2} + b^{2} c + a c^{2}\right)} e^{11} x^{12} + 3 \, {\left(91 \, c^{3} d^{5} + 26 \, b c^{2} d^{3} + {\left(b^{2} c + a c^{2}\right)} d\right)} e^{10} x^{11} + \frac{1}{10} \, {\left(5005 \, c^{3} d^{6} + 2145 \, b c^{2} d^{4} + b^{3} + 6 \, a b c + 165 \, {\left(b^{2} c + a c^{2}\right)} d^{2}\right)} e^{9} x^{10} + {\left(715 \, c^{3} d^{7} + 429 \, b c^{2} d^{5} + 55 \, {\left(b^{2} c + a c^{2}\right)} d^{3} + {\left(b^{3} + 6 \, a b c\right)} d\right)} e^{8} x^{9} + \frac{3}{8} \, {\left(2145 \, c^{3} d^{8} + 1716 \, b c^{2} d^{6} + 330 \, {\left(b^{2} c + a c^{2}\right)} d^{4} + a b^{2} + a^{2} c + 12 \, {\left(b^{3} + 6 \, a b c\right)} d^{2}\right)} e^{7} x^{8} + \frac{1}{7} \, {\left(5005 \, c^{3} d^{9} + 5148 \, b c^{2} d^{7} + 1386 \, {\left(b^{2} c + a c^{2}\right)} d^{5} + 84 \, {\left(b^{3} + 6 \, a b c\right)} d^{3} + 21 \, {\left(a b^{2} + a^{2} c\right)} d\right)} e^{6} x^{7} + \frac{1}{2} \, {\left(1001 \, c^{3} d^{10} + 1287 \, b c^{2} d^{8} + 462 \, {\left(b^{2} c + a c^{2}\right)} d^{6} + 42 \, {\left(b^{3} + 6 \, a b c\right)} d^{4} + a^{2} b + 21 \, {\left(a b^{2} + a^{2} c\right)} d^{2}\right)} e^{5} x^{6} + \frac{3}{5} \, {\left(455 \, c^{3} d^{11} + 715 \, b c^{2} d^{9} + 330 \, {\left(b^{2} c + a c^{2}\right)} d^{7} + 42 \, {\left(b^{3} + 6 \, a b c\right)} d^{5} + 5 \, a^{2} b d + 35 \, {\left(a b^{2} + a^{2} c\right)} d^{3}\right)} e^{4} x^{5} + \frac{1}{4} \, {\left(455 \, c^{3} d^{12} + 858 \, b c^{2} d^{10} + 495 \, {\left(b^{2} c + a c^{2}\right)} d^{8} + 84 \, {\left(b^{3} + 6 \, a b c\right)} d^{6} + 30 \, a^{2} b d^{2} + 105 \, {\left(a b^{2} + a^{2} c\right)} d^{4} + a^{3}\right)} e^{3} x^{4} + {\left(35 \, c^{3} d^{13} + 78 \, b c^{2} d^{11} + 55 \, {\left(b^{2} c + a c^{2}\right)} d^{9} + 12 \, {\left(b^{3} + 6 \, a b c\right)} d^{7} + 10 \, a^{2} b d^{3} + 21 \, {\left(a b^{2} + a^{2} c\right)} d^{5} + a^{3} d\right)} e^{2} x^{3} + \frac{3}{2} \, {\left(5 \, c^{3} d^{14} + 13 \, b c^{2} d^{12} + 11 \, {\left(b^{2} c + a c^{2}\right)} d^{10} + 3 \, {\left(b^{3} + 6 \, a b c\right)} d^{8} + 5 \, a^{2} b d^{4} + 7 \, {\left(a b^{2} + a^{2} c\right)} d^{6} + a^{3} d^{2}\right)} e x^{2} + {\left(c^{3} d^{15} + 3 \, b c^{2} d^{13} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{11} + {\left(b^{3} + 6 \, a b c\right)} d^{9} + 3 \, a^{2} b d^{5} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{7} + a^{3} d^{3}\right)} x"," ",0,"1/16*c^3*e^15*x^16 + c^3*d*e^14*x^15 + 3/14*(35*c^3*d^2 + b*c^2)*e^13*x^14 + (35*c^3*d^3 + 3*b*c^2*d)*e^12*x^13 + 1/4*(455*c^3*d^4 + 78*b*c^2*d^2 + b^2*c + a*c^2)*e^11*x^12 + 3*(91*c^3*d^5 + 26*b*c^2*d^3 + (b^2*c + a*c^2)*d)*e^10*x^11 + 1/10*(5005*c^3*d^6 + 2145*b*c^2*d^4 + b^3 + 6*a*b*c + 165*(b^2*c + a*c^2)*d^2)*e^9*x^10 + (715*c^3*d^7 + 429*b*c^2*d^5 + 55*(b^2*c + a*c^2)*d^3 + (b^3 + 6*a*b*c)*d)*e^8*x^9 + 3/8*(2145*c^3*d^8 + 1716*b*c^2*d^6 + 330*(b^2*c + a*c^2)*d^4 + a*b^2 + a^2*c + 12*(b^3 + 6*a*b*c)*d^2)*e^7*x^8 + 1/7*(5005*c^3*d^9 + 5148*b*c^2*d^7 + 1386*(b^2*c + a*c^2)*d^5 + 84*(b^3 + 6*a*b*c)*d^3 + 21*(a*b^2 + a^2*c)*d)*e^6*x^7 + 1/2*(1001*c^3*d^10 + 1287*b*c^2*d^8 + 462*(b^2*c + a*c^2)*d^6 + 42*(b^3 + 6*a*b*c)*d^4 + a^2*b + 21*(a*b^2 + a^2*c)*d^2)*e^5*x^6 + 3/5*(455*c^3*d^11 + 715*b*c^2*d^9 + 330*(b^2*c + a*c^2)*d^7 + 42*(b^3 + 6*a*b*c)*d^5 + 5*a^2*b*d + 35*(a*b^2 + a^2*c)*d^3)*e^4*x^5 + 1/4*(455*c^3*d^12 + 858*b*c^2*d^10 + 495*(b^2*c + a*c^2)*d^8 + 84*(b^3 + 6*a*b*c)*d^6 + 30*a^2*b*d^2 + 105*(a*b^2 + a^2*c)*d^4 + a^3)*e^3*x^4 + (35*c^3*d^13 + 78*b*c^2*d^11 + 55*(b^2*c + a*c^2)*d^9 + 12*(b^3 + 6*a*b*c)*d^7 + 10*a^2*b*d^3 + 21*(a*b^2 + a^2*c)*d^5 + a^3*d)*e^2*x^3 + 3/2*(5*c^3*d^14 + 13*b*c^2*d^12 + 11*(b^2*c + a*c^2)*d^10 + 3*(b^3 + 6*a*b*c)*d^8 + 5*a^2*b*d^4 + 7*(a*b^2 + a^2*c)*d^6 + a^3*d^2)*e*x^2 + (c^3*d^15 + 3*b*c^2*d^13 + 3*(b^2*c + a*c^2)*d^11 + (b^3 + 6*a*b*c)*d^9 + 3*a^2*b*d^5 + 3*(a*b^2 + a^2*c)*d^7 + a^3*d^3)*x","B",0
610,1,166,0,1.076708," ","integrate((e*f*x+d*f)^3*(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\frac{1}{8} \, c e^{7} f^{3} x^{8} + c d e^{6} f^{3} x^{7} + \frac{1}{6} \, {\left(21 \, c d^{2} + b\right)} e^{5} f^{3} x^{6} + {\left(7 \, c d^{3} + b d\right)} e^{4} f^{3} x^{5} + \frac{1}{4} \, {\left(35 \, c d^{4} + 10 \, b d^{2} + a\right)} e^{3} f^{3} x^{4} + \frac{1}{3} \, {\left(21 \, c d^{5} + 10 \, b d^{3} + 3 \, a d\right)} e^{2} f^{3} x^{3} + \frac{1}{2} \, {\left(7 \, c d^{6} + 5 \, b d^{4} + 3 \, a d^{2}\right)} e f^{3} x^{2} + {\left(c d^{7} + b d^{5} + a d^{3}\right)} f^{3} x"," ",0,"1/8*c*e^7*f^3*x^8 + c*d*e^6*f^3*x^7 + 1/6*(21*c*d^2 + b)*e^5*f^3*x^6 + (7*c*d^3 + b*d)*e^4*f^3*x^5 + 1/4*(35*c*d^4 + 10*b*d^2 + a)*e^3*f^3*x^4 + 1/3*(21*c*d^5 + 10*b*d^3 + 3*a*d)*e^2*f^3*x^3 + 1/2*(7*c*d^6 + 5*b*d^4 + 3*a*d^2)*e*f^3*x^2 + (c*d^7 + b*d^5 + a*d^3)*f^3*x","B",0
611,1,439,0,1.034209," ","integrate((e*f*x+d*f)^3*(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","\frac{1}{12} \, c^{2} e^{11} f^{3} x^{12} + c^{2} d e^{10} f^{3} x^{11} + \frac{1}{10} \, {\left(55 \, c^{2} d^{2} + 2 \, b c\right)} e^{9} f^{3} x^{10} + \frac{1}{3} \, {\left(55 \, c^{2} d^{3} + 6 \, b c d\right)} e^{8} f^{3} x^{9} + \frac{1}{8} \, {\left(330 \, c^{2} d^{4} + 72 \, b c d^{2} + b^{2} + 2 \, a c\right)} e^{7} f^{3} x^{8} + {\left(66 \, c^{2} d^{5} + 24 \, b c d^{3} + {\left(b^{2} + 2 \, a c\right)} d\right)} e^{6} f^{3} x^{7} + \frac{1}{6} \, {\left(462 \, c^{2} d^{6} + 252 \, b c d^{4} + 21 \, {\left(b^{2} + 2 \, a c\right)} d^{2} + 2 \, a b\right)} e^{5} f^{3} x^{6} + \frac{1}{5} \, {\left(330 \, c^{2} d^{7} + 252 \, b c d^{5} + 35 \, {\left(b^{2} + 2 \, a c\right)} d^{3} + 10 \, a b d\right)} e^{4} f^{3} x^{5} + \frac{1}{4} \, {\left(165 \, c^{2} d^{8} + 168 \, b c d^{6} + 35 \, {\left(b^{2} + 2 \, a c\right)} d^{4} + 20 \, a b d^{2} + a^{2}\right)} e^{3} f^{3} x^{4} + \frac{1}{3} \, {\left(55 \, c^{2} d^{9} + 72 \, b c d^{7} + 21 \, {\left(b^{2} + 2 \, a c\right)} d^{5} + 20 \, a b d^{3} + 3 \, a^{2} d\right)} e^{2} f^{3} x^{3} + \frac{1}{2} \, {\left(11 \, c^{2} d^{10} + 18 \, b c d^{8} + 7 \, {\left(b^{2} + 2 \, a c\right)} d^{6} + 10 \, a b d^{4} + 3 \, a^{2} d^{2}\right)} e f^{3} x^{2} + {\left(c^{2} d^{11} + 2 \, b c d^{9} + {\left(b^{2} + 2 \, a c\right)} d^{7} + 2 \, a b d^{5} + a^{2} d^{3}\right)} f^{3} x"," ",0,"1/12*c^2*e^11*f^3*x^12 + c^2*d*e^10*f^3*x^11 + 1/10*(55*c^2*d^2 + 2*b*c)*e^9*f^3*x^10 + 1/3*(55*c^2*d^3 + 6*b*c*d)*e^8*f^3*x^9 + 1/8*(330*c^2*d^4 + 72*b*c*d^2 + b^2 + 2*a*c)*e^7*f^3*x^8 + (66*c^2*d^5 + 24*b*c*d^3 + (b^2 + 2*a*c)*d)*e^6*f^3*x^7 + 1/6*(462*c^2*d^6 + 252*b*c*d^4 + 21*(b^2 + 2*a*c)*d^2 + 2*a*b)*e^5*f^3*x^6 + 1/5*(330*c^2*d^7 + 252*b*c*d^5 + 35*(b^2 + 2*a*c)*d^3 + 10*a*b*d)*e^4*f^3*x^5 + 1/4*(165*c^2*d^8 + 168*b*c*d^6 + 35*(b^2 + 2*a*c)*d^4 + 20*a*b*d^2 + a^2)*e^3*f^3*x^4 + 1/3*(55*c^2*d^9 + 72*b*c*d^7 + 21*(b^2 + 2*a*c)*d^5 + 20*a*b*d^3 + 3*a^2*d)*e^2*f^3*x^3 + 1/2*(11*c^2*d^10 + 18*b*c*d^8 + 7*(b^2 + 2*a*c)*d^6 + 10*a*b*d^4 + 3*a^2*d^2)*e*f^3*x^2 + (c^2*d^11 + 2*b*c*d^9 + (b^2 + 2*a*c)*d^7 + 2*a*b*d^5 + a^2*d^3)*f^3*x","B",0
612,1,920,0,1.164036," ","integrate((e*f*x+d*f)^3*(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\frac{1}{16} \, c^{3} e^{15} f^{3} x^{16} + c^{3} d e^{14} f^{3} x^{15} + \frac{3}{14} \, {\left(35 \, c^{3} d^{2} + b c^{2}\right)} e^{13} f^{3} x^{14} + {\left(35 \, c^{3} d^{3} + 3 \, b c^{2} d\right)} e^{12} f^{3} x^{13} + \frac{1}{4} \, {\left(455 \, c^{3} d^{4} + 78 \, b c^{2} d^{2} + b^{2} c + a c^{2}\right)} e^{11} f^{3} x^{12} + 3 \, {\left(91 \, c^{3} d^{5} + 26 \, b c^{2} d^{3} + {\left(b^{2} c + a c^{2}\right)} d\right)} e^{10} f^{3} x^{11} + \frac{1}{10} \, {\left(5005 \, c^{3} d^{6} + 2145 \, b c^{2} d^{4} + b^{3} + 6 \, a b c + 165 \, {\left(b^{2} c + a c^{2}\right)} d^{2}\right)} e^{9} f^{3} x^{10} + {\left(715 \, c^{3} d^{7} + 429 \, b c^{2} d^{5} + 55 \, {\left(b^{2} c + a c^{2}\right)} d^{3} + {\left(b^{3} + 6 \, a b c\right)} d\right)} e^{8} f^{3} x^{9} + \frac{3}{8} \, {\left(2145 \, c^{3} d^{8} + 1716 \, b c^{2} d^{6} + 330 \, {\left(b^{2} c + a c^{2}\right)} d^{4} + a b^{2} + a^{2} c + 12 \, {\left(b^{3} + 6 \, a b c\right)} d^{2}\right)} e^{7} f^{3} x^{8} + \frac{1}{7} \, {\left(5005 \, c^{3} d^{9} + 5148 \, b c^{2} d^{7} + 1386 \, {\left(b^{2} c + a c^{2}\right)} d^{5} + 84 \, {\left(b^{3} + 6 \, a b c\right)} d^{3} + 21 \, {\left(a b^{2} + a^{2} c\right)} d\right)} e^{6} f^{3} x^{7} + \frac{1}{2} \, {\left(1001 \, c^{3} d^{10} + 1287 \, b c^{2} d^{8} + 462 \, {\left(b^{2} c + a c^{2}\right)} d^{6} + 42 \, {\left(b^{3} + 6 \, a b c\right)} d^{4} + a^{2} b + 21 \, {\left(a b^{2} + a^{2} c\right)} d^{2}\right)} e^{5} f^{3} x^{6} + \frac{3}{5} \, {\left(455 \, c^{3} d^{11} + 715 \, b c^{2} d^{9} + 330 \, {\left(b^{2} c + a c^{2}\right)} d^{7} + 42 \, {\left(b^{3} + 6 \, a b c\right)} d^{5} + 5 \, a^{2} b d + 35 \, {\left(a b^{2} + a^{2} c\right)} d^{3}\right)} e^{4} f^{3} x^{5} + \frac{1}{4} \, {\left(455 \, c^{3} d^{12} + 858 \, b c^{2} d^{10} + 495 \, {\left(b^{2} c + a c^{2}\right)} d^{8} + 84 \, {\left(b^{3} + 6 \, a b c\right)} d^{6} + 30 \, a^{2} b d^{2} + 105 \, {\left(a b^{2} + a^{2} c\right)} d^{4} + a^{3}\right)} e^{3} f^{3} x^{4} + {\left(35 \, c^{3} d^{13} + 78 \, b c^{2} d^{11} + 55 \, {\left(b^{2} c + a c^{2}\right)} d^{9} + 12 \, {\left(b^{3} + 6 \, a b c\right)} d^{7} + 10 \, a^{2} b d^{3} + 21 \, {\left(a b^{2} + a^{2} c\right)} d^{5} + a^{3} d\right)} e^{2} f^{3} x^{3} + \frac{3}{2} \, {\left(5 \, c^{3} d^{14} + 13 \, b c^{2} d^{12} + 11 \, {\left(b^{2} c + a c^{2}\right)} d^{10} + 3 \, {\left(b^{3} + 6 \, a b c\right)} d^{8} + 5 \, a^{2} b d^{4} + 7 \, {\left(a b^{2} + a^{2} c\right)} d^{6} + a^{3} d^{2}\right)} e f^{3} x^{2} + {\left(c^{3} d^{15} + 3 \, b c^{2} d^{13} + 3 \, {\left(b^{2} c + a c^{2}\right)} d^{11} + {\left(b^{3} + 6 \, a b c\right)} d^{9} + 3 \, a^{2} b d^{5} + 3 \, {\left(a b^{2} + a^{2} c\right)} d^{7} + a^{3} d^{3}\right)} f^{3} x"," ",0,"1/16*c^3*e^15*f^3*x^16 + c^3*d*e^14*f^3*x^15 + 3/14*(35*c^3*d^2 + b*c^2)*e^13*f^3*x^14 + (35*c^3*d^3 + 3*b*c^2*d)*e^12*f^3*x^13 + 1/4*(455*c^3*d^4 + 78*b*c^2*d^2 + b^2*c + a*c^2)*e^11*f^3*x^12 + 3*(91*c^3*d^5 + 26*b*c^2*d^3 + (b^2*c + a*c^2)*d)*e^10*f^3*x^11 + 1/10*(5005*c^3*d^6 + 2145*b*c^2*d^4 + b^3 + 6*a*b*c + 165*(b^2*c + a*c^2)*d^2)*e^9*f^3*x^10 + (715*c^3*d^7 + 429*b*c^2*d^5 + 55*(b^2*c + a*c^2)*d^3 + (b^3 + 6*a*b*c)*d)*e^8*f^3*x^9 + 3/8*(2145*c^3*d^8 + 1716*b*c^2*d^6 + 330*(b^2*c + a*c^2)*d^4 + a*b^2 + a^2*c + 12*(b^3 + 6*a*b*c)*d^2)*e^7*f^3*x^8 + 1/7*(5005*c^3*d^9 + 5148*b*c^2*d^7 + 1386*(b^2*c + a*c^2)*d^5 + 84*(b^3 + 6*a*b*c)*d^3 + 21*(a*b^2 + a^2*c)*d)*e^6*f^3*x^7 + 1/2*(1001*c^3*d^10 + 1287*b*c^2*d^8 + 462*(b^2*c + a*c^2)*d^6 + 42*(b^3 + 6*a*b*c)*d^4 + a^2*b + 21*(a*b^2 + a^2*c)*d^2)*e^5*f^3*x^6 + 3/5*(455*c^3*d^11 + 715*b*c^2*d^9 + 330*(b^2*c + a*c^2)*d^7 + 42*(b^3 + 6*a*b*c)*d^5 + 5*a^2*b*d + 35*(a*b^2 + a^2*c)*d^3)*e^4*f^3*x^5 + 1/4*(455*c^3*d^12 + 858*b*c^2*d^10 + 495*(b^2*c + a*c^2)*d^8 + 84*(b^3 + 6*a*b*c)*d^6 + 30*a^2*b*d^2 + 105*(a*b^2 + a^2*c)*d^4 + a^3)*e^3*f^3*x^4 + (35*c^3*d^13 + 78*b*c^2*d^11 + 55*(b^2*c + a*c^2)*d^9 + 12*(b^3 + 6*a*b*c)*d^7 + 10*a^2*b*d^3 + 21*(a*b^2 + a^2*c)*d^5 + a^3*d)*e^2*f^3*x^3 + 3/2*(5*c^3*d^14 + 13*b*c^2*d^12 + 11*(b^2*c + a*c^2)*d^10 + 3*(b^3 + 6*a*b*c)*d^8 + 5*a^2*b*d^4 + 7*(a*b^2 + a^2*c)*d^6 + a^3*d^2)*e*f^3*x^2 + (c^3*d^15 + 3*b*c^2*d^13 + 3*(b^2*c + a*c^2)*d^11 + (b^3 + 6*a*b*c)*d^9 + 3*a^2*b*d^5 + 3*(a*b^2 + a^2*c)*d^7 + a^3*d^3)*f^3*x","B",0
613,-1,0,0,0.000000," ","integrate((e*x+d)^4/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
614,0,0,0,0.000000," ","integrate((e*x+d)^3/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{3}}{{\left(e x + d\right)}^{4} c + {\left(e x + d\right)}^{2} b + a}\,{d x}"," ",0,"integrate((e*x + d)^3/((e*x + d)^4*c + (e*x + d)^2*b + a), x)","F",0
615,0,0,0,0.000000," ","integrate((e*x+d)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2}}{{\left(e x + d\right)}^{4} c + {\left(e x + d\right)}^{2} b + a}\,{d x}"," ",0,"integrate((e*x + d)^2/((e*x + d)^4*c + (e*x + d)^2*b + a), x)","F",0
616,0,0,0,0.000000," ","integrate((e*x+d)/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\int \frac{e x + d}{{\left(e x + d\right)}^{4} c + {\left(e x + d\right)}^{2} b + a}\,{d x}"," ",0,"integrate((e*x + d)/((e*x + d)^4*c + (e*x + d)^2*b + a), x)","F",0
617,-1,0,0,0.000000," ","integrate(1/(e*x+d)/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
618,-1,0,0,0.000000," ","integrate(1/(e*x+d)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
619,-1,0,0,0.000000," ","integrate(1/(e*x+d)^3/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
620,-1,0,0,0.000000," ","integrate(1/(e*x+d)^4/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
621,0,0,0,0.000000," ","integrate((e*x+d)^4/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","\frac{b e^{3} x^{3} + 3 \, b d e^{2} x^{2} + b d^{3} + {\left(3 \, b d^{2} + 2 \, a\right)} e x + 2 \, a d}{2 \, {\left({\left(b^{2} c - 4 \, a c^{2}\right)} e^{5} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{4} x^{3} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{3} x^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e^{2} x + {\left({\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2}\right)} e\right)}} - \frac{1}{2} \, \int -\frac{b e^{2} x^{2} + 2 \, b d e x + b d^{2} - 2 \, a}{{\left(b^{2} c - 4 \, a c^{2}\right)} e^{4} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{3} x^{3} + {\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{2} x^{2} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e x}\,{d x}"," ",0,"1/2*(b*e^3*x^3 + 3*b*d*e^2*x^2 + b*d^3 + (3*b*d^2 + 2*a)*e*x + 2*a*d)/((b^2*c - 4*a*c^2)*e^5*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^4*x^3 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^3*x^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e^2*x + ((b^2*c - 4*a*c^2)*d^4 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2)*e) - 1/2*integrate(-(b*e^2*x^2 + 2*b*d*e*x + b*d^2 - 2*a)/((b^2*c - 4*a*c^2)*e^4*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^3*x^3 + (b^2*c - 4*a*c^2)*d^4 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^2*x^2 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e*x), x)","F",0
622,0,0,0,0.000000," ","integrate((e*x+d)^3/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","-b \int -\frac{e x + d}{{\left(b^{2} c - 4 \, a c^{2}\right)} e^{4} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{3} x^{3} + {\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{2} x^{2} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e x}\,{d x} + \frac{b e^{2} x^{2} + 2 \, b d e x + b d^{2} + 2 \, a}{2 \, {\left({\left(b^{2} c - 4 \, a c^{2}\right)} e^{5} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{4} x^{3} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{3} x^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e^{2} x + {\left({\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2}\right)} e\right)}}"," ",0,"-b*integrate(-(e*x + d)/((b^2*c - 4*a*c^2)*e^4*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^3*x^3 + (b^2*c - 4*a*c^2)*d^4 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^2*x^2 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e*x), x) + 1/2*(b*e^2*x^2 + 2*b*d*e*x + b*d^2 + 2*a)/((b^2*c - 4*a*c^2)*e^5*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^4*x^3 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^3*x^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e^2*x + ((b^2*c - 4*a*c^2)*d^4 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2)*e)","F",0
623,0,0,0,0.000000," ","integrate((e*x+d)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","-\frac{2 \, c e^{3} x^{3} + 6 \, c d e^{2} x^{2} + 2 \, c d^{3} + {\left(6 \, c d^{2} + b\right)} e x + b d}{2 \, {\left({\left(b^{2} c - 4 \, a c^{2}\right)} e^{5} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{4} x^{3} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{3} x^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e^{2} x + {\left({\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2}\right)} e\right)}} + \frac{1}{2} \, \int -\frac{2 \, c e^{2} x^{2} + 4 \, c d e x + 2 \, c d^{2} - b}{{\left(b^{2} c - 4 \, a c^{2}\right)} e^{4} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{3} x^{3} + {\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{2} x^{2} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e x}\,{d x}"," ",0,"-1/2*(2*c*e^3*x^3 + 6*c*d*e^2*x^2 + 2*c*d^3 + (6*c*d^2 + b)*e*x + b*d)/((b^2*c - 4*a*c^2)*e^5*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^4*x^3 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^3*x^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e^2*x + ((b^2*c - 4*a*c^2)*d^4 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2)*e) + 1/2*integrate(-(2*c*e^2*x^2 + 4*c*d*e*x + 2*c*d^2 - b)/((b^2*c - 4*a*c^2)*e^4*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^3*x^3 + (b^2*c - 4*a*c^2)*d^4 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^2*x^2 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e*x), x)","F",0
624,0,0,0,0.000000," ","integrate((e*x+d)/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","2 \, c \int -\frac{e x + d}{{\left(b^{2} c - 4 \, a c^{2}\right)} e^{4} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{3} x^{3} + {\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{2} x^{2} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e x}\,{d x} - \frac{2 \, c e^{2} x^{2} + 4 \, c d e x + 2 \, c d^{2} + b}{2 \, {\left({\left(b^{2} c - 4 \, a c^{2}\right)} e^{5} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{4} x^{3} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{3} x^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e^{2} x + {\left({\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2}\right)} e\right)}}"," ",0,"2*c*integrate(-(e*x + d)/((b^2*c - 4*a*c^2)*e^4*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^3*x^3 + (b^2*c - 4*a*c^2)*d^4 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^2*x^2 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e*x), x) - 1/2*(2*c*e^2*x^2 + 4*c*d*e*x + 2*c*d^2 + b)/((b^2*c - 4*a*c^2)*e^5*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^4*x^3 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^3*x^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e^2*x + ((b^2*c - 4*a*c^2)*d^4 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2)*e)","F",0
625,0,0,0,0.000000," ","integrate(1/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","\frac{b c e^{3} x^{3} + 3 \, b c d e^{2} x^{2} + b c d^{3} + {\left(3 \, b c d^{2} + b^{2} - 2 \, a c\right)} e x + {\left(b^{2} - 2 \, a c\right)} d}{2 \, {\left({\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} e^{5} x^{4} + 4 \, {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} d e^{4} x^{3} + {\left(a b^{3} - 4 \, a^{2} b c + 6 \, {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} d^{2}\right)} e^{3} x^{2} + 2 \, {\left(2 \, {\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} d^{3} + {\left(a b^{3} - 4 \, a^{2} b c\right)} d\right)} e^{2} x + {\left({\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} d^{4} + a^{2} b^{2} - 4 \, a^{3} c + {\left(a b^{3} - 4 \, a^{2} b c\right)} d^{2}\right)} e\right)}} - \frac{-\int \frac{b c e^{2} x^{2} + 2 \, b c d e x + b c d^{2} + b^{2} - 6 \, a c}{{\left(b^{2} c - 4 \, a c^{2}\right)} e^{4} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{3} x^{3} + {\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{2} x^{2} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e x}\,{d x}}{2 \, a}"," ",0,"1/2*(b*c*e^3*x^3 + 3*b*c*d*e^2*x^2 + b*c*d^3 + (3*b*c*d^2 + b^2 - 2*a*c)*e*x + (b^2 - 2*a*c)*d)/((a*b^2*c - 4*a^2*c^2)*e^5*x^4 + 4*(a*b^2*c - 4*a^2*c^2)*d*e^4*x^3 + (a*b^3 - 4*a^2*b*c + 6*(a*b^2*c - 4*a^2*c^2)*d^2)*e^3*x^2 + 2*(2*(a*b^2*c - 4*a^2*c^2)*d^3 + (a*b^3 - 4*a^2*b*c)*d)*e^2*x + ((a*b^2*c - 4*a^2*c^2)*d^4 + a^2*b^2 - 4*a^3*c + (a*b^3 - 4*a^2*b*c)*d^2)*e) - 1/2*integrate(-(b*c*e^2*x^2 + 2*b*c*d*e*x + b*c*d^2 + b^2 - 6*a*c)/((b^2*c - 4*a*c^2)*e^4*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^3*x^3 + (b^2*c - 4*a*c^2)*d^4 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^2*x^2 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e*x), x)/a","F",0
626,-1,0,0,0.000000," ","integrate(1/(e*x+d)/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
627,-1,0,0,0.000000," ","integrate(1/(e*x+d)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
628,-1,0,0,0.000000," ","integrate(1/(e*x+d)^3/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
629,-1,0,0,0.000000," ","integrate(1/(e*x+d)^4/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
630,-1,0,0,0.000000," ","integrate((e*x+d)^4/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
631,-1,0,0,0.000000," ","integrate((e*x+d)^3/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
632,-1,0,0,0.000000," ","integrate((e*x+d)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
633,-1,0,0,0.000000," ","integrate((e*x+d)/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
634,0,0,0,0.000000," ","integrate(1/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(b^{3} c^{2} - 8 \, a b c^{3}\right)} e^{7} x^{7} + 21 \, {\left(b^{3} c^{2} - 8 \, a b c^{3}\right)} d e^{6} x^{6} + {\left(6 \, b^{4} c - 49 \, a b^{2} c^{2} + 28 \, a^{2} c^{3} + 63 \, {\left(b^{3} c^{2} - 8 \, a b c^{3}\right)} d^{2}\right)} e^{5} x^{5} + 5 \, {\left(21 \, {\left(b^{3} c^{2} - 8 \, a b c^{3}\right)} d^{3} + {\left(6 \, b^{4} c - 49 \, a b^{2} c^{2} + 28 \, a^{2} c^{3}\right)} d\right)} e^{4} x^{4} + 3 \, {\left(b^{3} c^{2} - 8 \, a b c^{3}\right)} d^{7} + {\left(3 \, b^{5} - 20 \, a b^{3} c - 4 \, a^{2} b c^{2} + 105 \, {\left(b^{3} c^{2} - 8 \, a b c^{3}\right)} d^{4} + 10 \, {\left(6 \, b^{4} c - 49 \, a b^{2} c^{2} + 28 \, a^{2} c^{3}\right)} d^{2}\right)} e^{3} x^{3} + {\left(6 \, b^{4} c - 49 \, a b^{2} c^{2} + 28 \, a^{2} c^{3}\right)} d^{5} + {\left(63 \, {\left(b^{3} c^{2} - 8 \, a b c^{3}\right)} d^{5} + 10 \, {\left(6 \, b^{4} c - 49 \, a b^{2} c^{2} + 28 \, a^{2} c^{3}\right)} d^{3} + 3 \, {\left(3 \, b^{5} - 20 \, a b^{3} c - 4 \, a^{2} b c^{2}\right)} d\right)} e^{2} x^{2} + {\left(3 \, b^{5} - 20 \, a b^{3} c - 4 \, a^{2} b c^{2}\right)} d^{3} + {\left(21 \, {\left(b^{3} c^{2} - 8 \, a b c^{3}\right)} d^{6} + 5 \, a b^{4} - 37 \, a^{2} b^{2} c + 44 \, a^{3} c^{2} + 5 \, {\left(6 \, b^{4} c - 49 \, a b^{2} c^{2} + 28 \, a^{2} c^{3}\right)} d^{4} + 3 \, {\left(3 \, b^{5} - 20 \, a b^{3} c - 4 \, a^{2} b c^{2}\right)} d^{2}\right)} e x + {\left(5 \, a b^{4} - 37 \, a^{2} b^{2} c + 44 \, a^{3} c^{2}\right)} d}{8 \, {\left({\left(a^{2} b^{4} c^{2} - 8 \, a^{3} b^{2} c^{3} + 16 \, a^{4} c^{4}\right)} e^{9} x^{8} + 8 \, {\left(a^{2} b^{4} c^{2} - 8 \, a^{3} b^{2} c^{3} + 16 \, a^{4} c^{4}\right)} d e^{8} x^{7} + 2 \, {\left(a^{2} b^{5} c - 8 \, a^{3} b^{3} c^{2} + 16 \, a^{4} b c^{3} + 14 \, {\left(a^{2} b^{4} c^{2} - 8 \, a^{3} b^{2} c^{3} + 16 \, a^{4} c^{4}\right)} d^{2}\right)} e^{7} x^{6} + 4 \, {\left(14 \, {\left(a^{2} b^{4} c^{2} - 8 \, a^{3} b^{2} c^{3} + 16 \, a^{4} c^{4}\right)} d^{3} + 3 \, {\left(a^{2} b^{5} c - 8 \, a^{3} b^{3} c^{2} + 16 \, a^{4} b c^{3}\right)} d\right)} e^{6} x^{5} + {\left(a^{2} b^{6} - 6 \, a^{3} b^{4} c + 32 \, a^{5} c^{3} + 70 \, {\left(a^{2} b^{4} c^{2} - 8 \, a^{3} b^{2} c^{3} + 16 \, a^{4} c^{4}\right)} d^{4} + 30 \, {\left(a^{2} b^{5} c - 8 \, a^{3} b^{3} c^{2} + 16 \, a^{4} b c^{3}\right)} d^{2}\right)} e^{5} x^{4} + 4 \, {\left(14 \, {\left(a^{2} b^{4} c^{2} - 8 \, a^{3} b^{2} c^{3} + 16 \, a^{4} c^{4}\right)} d^{5} + 10 \, {\left(a^{2} b^{5} c - 8 \, a^{3} b^{3} c^{2} + 16 \, a^{4} b c^{3}\right)} d^{3} + {\left(a^{2} b^{6} - 6 \, a^{3} b^{4} c + 32 \, a^{5} c^{3}\right)} d\right)} e^{4} x^{3} + 2 \, {\left(a^{3} b^{5} - 8 \, a^{4} b^{3} c + 16 \, a^{5} b c^{2} + 14 \, {\left(a^{2} b^{4} c^{2} - 8 \, a^{3} b^{2} c^{3} + 16 \, a^{4} c^{4}\right)} d^{6} + 15 \, {\left(a^{2} b^{5} c - 8 \, a^{3} b^{3} c^{2} + 16 \, a^{4} b c^{3}\right)} d^{4} + 3 \, {\left(a^{2} b^{6} - 6 \, a^{3} b^{4} c + 32 \, a^{5} c^{3}\right)} d^{2}\right)} e^{3} x^{2} + 4 \, {\left(2 \, {\left(a^{2} b^{4} c^{2} - 8 \, a^{3} b^{2} c^{3} + 16 \, a^{4} c^{4}\right)} d^{7} + 3 \, {\left(a^{2} b^{5} c - 8 \, a^{3} b^{3} c^{2} + 16 \, a^{4} b c^{3}\right)} d^{5} + {\left(a^{2} b^{6} - 6 \, a^{3} b^{4} c + 32 \, a^{5} c^{3}\right)} d^{3} + {\left(a^{3} b^{5} - 8 \, a^{4} b^{3} c + 16 \, a^{5} b c^{2}\right)} d\right)} e^{2} x + {\left({\left(a^{2} b^{4} c^{2} - 8 \, a^{3} b^{2} c^{3} + 16 \, a^{4} c^{4}\right)} d^{8} + a^{4} b^{4} - 8 \, a^{5} b^{2} c + 16 \, a^{6} c^{2} + 2 \, {\left(a^{2} b^{5} c - 8 \, a^{3} b^{3} c^{2} + 16 \, a^{4} b c^{3}\right)} d^{6} + {\left(a^{2} b^{6} - 6 \, a^{3} b^{4} c + 32 \, a^{5} c^{3}\right)} d^{4} + 2 \, {\left(a^{3} b^{5} - 8 \, a^{4} b^{3} c + 16 \, a^{5} b c^{2}\right)} d^{2}\right)} e\right)}} - \frac{-3 \, \int \frac{{\left(b^{3} c - 8 \, a b c^{2}\right)} e^{2} x^{2} + b^{4} - 9 \, a b^{2} c + 28 \, a^{2} c^{2} + 2 \, {\left(b^{3} c - 8 \, a b c^{2}\right)} d e x + {\left(b^{3} c - 8 \, a b c^{2}\right)} d^{2}}{c e^{4} x^{4} + 4 \, c d e^{3} x^{3} + c d^{4} + {\left(6 \, c d^{2} + b\right)} e^{2} x^{2} + b d^{2} + 2 \, {\left(2 \, c d^{3} + b d\right)} e x + a}\,{d x}}{8 \, {\left(a^{2} b^{4} - 8 \, a^{3} b^{2} c + 16 \, a^{4} c^{2}\right)}}"," ",0,"1/8*(3*(b^3*c^2 - 8*a*b*c^3)*e^7*x^7 + 21*(b^3*c^2 - 8*a*b*c^3)*d*e^6*x^6 + (6*b^4*c - 49*a*b^2*c^2 + 28*a^2*c^3 + 63*(b^3*c^2 - 8*a*b*c^3)*d^2)*e^5*x^5 + 5*(21*(b^3*c^2 - 8*a*b*c^3)*d^3 + (6*b^4*c - 49*a*b^2*c^2 + 28*a^2*c^3)*d)*e^4*x^4 + 3*(b^3*c^2 - 8*a*b*c^3)*d^7 + (3*b^5 - 20*a*b^3*c - 4*a^2*b*c^2 + 105*(b^3*c^2 - 8*a*b*c^3)*d^4 + 10*(6*b^4*c - 49*a*b^2*c^2 + 28*a^2*c^3)*d^2)*e^3*x^3 + (6*b^4*c - 49*a*b^2*c^2 + 28*a^2*c^3)*d^5 + (63*(b^3*c^2 - 8*a*b*c^3)*d^5 + 10*(6*b^4*c - 49*a*b^2*c^2 + 28*a^2*c^3)*d^3 + 3*(3*b^5 - 20*a*b^3*c - 4*a^2*b*c^2)*d)*e^2*x^2 + (3*b^5 - 20*a*b^3*c - 4*a^2*b*c^2)*d^3 + (21*(b^3*c^2 - 8*a*b*c^3)*d^6 + 5*a*b^4 - 37*a^2*b^2*c + 44*a^3*c^2 + 5*(6*b^4*c - 49*a*b^2*c^2 + 28*a^2*c^3)*d^4 + 3*(3*b^5 - 20*a*b^3*c - 4*a^2*b*c^2)*d^2)*e*x + (5*a*b^4 - 37*a^2*b^2*c + 44*a^3*c^2)*d)/((a^2*b^4*c^2 - 8*a^3*b^2*c^3 + 16*a^4*c^4)*e^9*x^8 + 8*(a^2*b^4*c^2 - 8*a^3*b^2*c^3 + 16*a^4*c^4)*d*e^8*x^7 + 2*(a^2*b^5*c - 8*a^3*b^3*c^2 + 16*a^4*b*c^3 + 14*(a^2*b^4*c^2 - 8*a^3*b^2*c^3 + 16*a^4*c^4)*d^2)*e^7*x^6 + 4*(14*(a^2*b^4*c^2 - 8*a^3*b^2*c^3 + 16*a^4*c^4)*d^3 + 3*(a^2*b^5*c - 8*a^3*b^3*c^2 + 16*a^4*b*c^3)*d)*e^6*x^5 + (a^2*b^6 - 6*a^3*b^4*c + 32*a^5*c^3 + 70*(a^2*b^4*c^2 - 8*a^3*b^2*c^3 + 16*a^4*c^4)*d^4 + 30*(a^2*b^5*c - 8*a^3*b^3*c^2 + 16*a^4*b*c^3)*d^2)*e^5*x^4 + 4*(14*(a^2*b^4*c^2 - 8*a^3*b^2*c^3 + 16*a^4*c^4)*d^5 + 10*(a^2*b^5*c - 8*a^3*b^3*c^2 + 16*a^4*b*c^3)*d^3 + (a^2*b^6 - 6*a^3*b^4*c + 32*a^5*c^3)*d)*e^4*x^3 + 2*(a^3*b^5 - 8*a^4*b^3*c + 16*a^5*b*c^2 + 14*(a^2*b^4*c^2 - 8*a^3*b^2*c^3 + 16*a^4*c^4)*d^6 + 15*(a^2*b^5*c - 8*a^3*b^3*c^2 + 16*a^4*b*c^3)*d^4 + 3*(a^2*b^6 - 6*a^3*b^4*c + 32*a^5*c^3)*d^2)*e^3*x^2 + 4*(2*(a^2*b^4*c^2 - 8*a^3*b^2*c^3 + 16*a^4*c^4)*d^7 + 3*(a^2*b^5*c - 8*a^3*b^3*c^2 + 16*a^4*b*c^3)*d^5 + (a^2*b^6 - 6*a^3*b^4*c + 32*a^5*c^3)*d^3 + (a^3*b^5 - 8*a^4*b^3*c + 16*a^5*b*c^2)*d)*e^2*x + ((a^2*b^4*c^2 - 8*a^3*b^2*c^3 + 16*a^4*c^4)*d^8 + a^4*b^4 - 8*a^5*b^2*c + 16*a^6*c^2 + 2*(a^2*b^5*c - 8*a^3*b^3*c^2 + 16*a^4*b*c^3)*d^6 + (a^2*b^6 - 6*a^3*b^4*c + 32*a^5*c^3)*d^4 + 2*(a^3*b^5 - 8*a^4*b^3*c + 16*a^5*b*c^2)*d^2)*e) - 3/8*integrate(-((b^3*c - 8*a*b*c^2)*e^2*x^2 + b^4 - 9*a*b^2*c + 28*a^2*c^2 + 2*(b^3*c - 8*a*b*c^2)*d*e*x + (b^3*c - 8*a*b*c^2)*d^2)/(c*e^4*x^4 + 4*c*d*e^3*x^3 + c*d^4 + (6*c*d^2 + b)*e^2*x^2 + b*d^2 + 2*(2*c*d^3 + b*d)*e*x + a), x)/(a^2*b^4 - 8*a^3*b^2*c + 16*a^4*c^2)","F",0
635,-1,0,0,0.000000," ","integrate(1/(e*x+d)/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
636,-1,0,0,0.000000," ","integrate(1/(e*x+d)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
637,-1,0,0,0.000000," ","integrate(1/(e*x+d)^3/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
638,-1,0,0,0.000000," ","integrate((e*f*x+d*f)^4/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
639,0,0,0,0.000000," ","integrate((e*f*x+d*f)^3/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\int \frac{{\left(e f x + d f\right)}^{3}}{{\left(e x + d\right)}^{4} c + {\left(e x + d\right)}^{2} b + a}\,{d x}"," ",0,"integrate((e*f*x + d*f)^3/((e*x + d)^4*c + (e*x + d)^2*b + a), x)","F",0
640,0,0,0,0.000000," ","integrate((e*f*x+d*f)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\int \frac{{\left(e f x + d f\right)}^{2}}{{\left(e x + d\right)}^{4} c + {\left(e x + d\right)}^{2} b + a}\,{d x}"," ",0,"integrate((e*f*x + d*f)^2/((e*x + d)^4*c + (e*x + d)^2*b + a), x)","F",0
641,0,0,0,0.000000," ","integrate((e*f*x+d*f)/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\int \frac{e f x + d f}{{\left(e x + d\right)}^{4} c + {\left(e x + d\right)}^{2} b + a}\,{d x}"," ",0,"integrate((e*f*x + d*f)/((e*x + d)^4*c + (e*x + d)^2*b + a), x)","F",0
642,-1,0,0,0.000000," ","integrate(1/(e*f*x+d*f)/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
643,-1,0,0,0.000000," ","integrate(1/(e*f*x+d*f)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
644,-1,0,0,0.000000," ","integrate(1/(e*f*x+d*f)^3/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
645,-1,0,0,0.000000," ","integrate(1/(e*f*x+d*f)^4/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
646,0,0,0,0.000000," ","integrate((e*f*x+d*f)^4/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","-\frac{1}{2} \, f^{4} \int -\frac{b e^{2} x^{2} + 2 \, b d e x + b d^{2} - 2 \, a}{{\left(b^{2} c - 4 \, a c^{2}\right)} e^{4} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{3} x^{3} + {\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{2} x^{2} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e x}\,{d x} + \frac{b e^{3} f^{4} x^{3} + 3 \, b d e^{2} f^{4} x^{2} + {\left(3 \, b d^{2} + 2 \, a\right)} e f^{4} x + {\left(b d^{3} + 2 \, a d\right)} f^{4}}{2 \, {\left({\left(b^{2} c - 4 \, a c^{2}\right)} e^{5} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{4} x^{3} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{3} x^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e^{2} x + {\left({\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2}\right)} e\right)}}"," ",0,"-1/2*f^4*integrate(-(b*e^2*x^2 + 2*b*d*e*x + b*d^2 - 2*a)/((b^2*c - 4*a*c^2)*e^4*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^3*x^3 + (b^2*c - 4*a*c^2)*d^4 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^2*x^2 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e*x), x) + 1/2*(b*e^3*f^4*x^3 + 3*b*d*e^2*f^4*x^2 + (3*b*d^2 + 2*a)*e*f^4*x + (b*d^3 + 2*a*d)*f^4)/((b^2*c - 4*a*c^2)*e^5*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^4*x^3 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^3*x^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e^2*x + ((b^2*c - 4*a*c^2)*d^4 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2)*e)","F",0
647,0,0,0,0.000000," ","integrate((e*f*x+d*f)^3/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","-b f^{3} \int -\frac{e x + d}{{\left(b^{2} c - 4 \, a c^{2}\right)} e^{4} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{3} x^{3} + {\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{2} x^{2} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e x}\,{d x} + \frac{b e^{2} f^{3} x^{2} + 2 \, b d e f^{3} x + {\left(b d^{2} + 2 \, a\right)} f^{3}}{2 \, {\left({\left(b^{2} c - 4 \, a c^{2}\right)} e^{5} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{4} x^{3} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{3} x^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e^{2} x + {\left({\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2}\right)} e\right)}}"," ",0,"-b*f^3*integrate(-(e*x + d)/((b^2*c - 4*a*c^2)*e^4*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^3*x^3 + (b^2*c - 4*a*c^2)*d^4 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^2*x^2 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e*x), x) + 1/2*(b*e^2*f^3*x^2 + 2*b*d*e*f^3*x + (b*d^2 + 2*a)*f^3)/((b^2*c - 4*a*c^2)*e^5*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^4*x^3 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^3*x^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e^2*x + ((b^2*c - 4*a*c^2)*d^4 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2)*e)","F",0
648,0,0,0,0.000000," ","integrate((e*f*x+d*f)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","\frac{1}{2} \, f^{2} \int -\frac{2 \, c e^{2} x^{2} + 4 \, c d e x + 2 \, c d^{2} - b}{{\left(b^{2} c - 4 \, a c^{2}\right)} e^{4} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{3} x^{3} + {\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{2} x^{2} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e x}\,{d x} - \frac{2 \, c e^{3} f^{2} x^{3} + 6 \, c d e^{2} f^{2} x^{2} + {\left(6 \, c d^{2} + b\right)} e f^{2} x + {\left(2 \, c d^{3} + b d\right)} f^{2}}{2 \, {\left({\left(b^{2} c - 4 \, a c^{2}\right)} e^{5} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{4} x^{3} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{3} x^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e^{2} x + {\left({\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2}\right)} e\right)}}"," ",0,"1/2*f^2*integrate(-(2*c*e^2*x^2 + 4*c*d*e*x + 2*c*d^2 - b)/((b^2*c - 4*a*c^2)*e^4*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^3*x^3 + (b^2*c - 4*a*c^2)*d^4 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^2*x^2 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e*x), x) - 1/2*(2*c*e^3*f^2*x^3 + 6*c*d*e^2*f^2*x^2 + (6*c*d^2 + b)*e*f^2*x + (2*c*d^3 + b*d)*f^2)/((b^2*c - 4*a*c^2)*e^5*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^4*x^3 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^3*x^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e^2*x + ((b^2*c - 4*a*c^2)*d^4 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2)*e)","F",0
649,0,0,0,0.000000," ","integrate((e*f*x+d*f)/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","2 \, c f \int -\frac{e x + d}{{\left(b^{2} c - 4 \, a c^{2}\right)} e^{4} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{3} x^{3} + {\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{2} x^{2} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e x}\,{d x} - \frac{2 \, c e^{2} f x^{2} + 4 \, c d e f x + {\left(2 \, c d^{2} + b\right)} f}{2 \, {\left({\left(b^{2} c - 4 \, a c^{2}\right)} e^{5} x^{4} + 4 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d e^{4} x^{3} + {\left(b^{3} - 4 \, a b c + 6 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{2}\right)} e^{3} x^{2} + 2 \, {\left(2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} d^{3} + {\left(b^{3} - 4 \, a b c\right)} d\right)} e^{2} x + {\left({\left(b^{2} c - 4 \, a c^{2}\right)} d^{4} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} d^{2}\right)} e\right)}}"," ",0,"2*c*f*integrate(-(e*x + d)/((b^2*c - 4*a*c^2)*e^4*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^3*x^3 + (b^2*c - 4*a*c^2)*d^4 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^2*x^2 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e*x), x) - 1/2*(2*c*e^2*f*x^2 + 4*c*d*e*f*x + (2*c*d^2 + b)*f)/((b^2*c - 4*a*c^2)*e^5*x^4 + 4*(b^2*c - 4*a*c^2)*d*e^4*x^3 + (b^3 - 4*a*b*c + 6*(b^2*c - 4*a*c^2)*d^2)*e^3*x^2 + 2*(2*(b^2*c - 4*a*c^2)*d^3 + (b^3 - 4*a*b*c)*d)*e^2*x + ((b^2*c - 4*a*c^2)*d^4 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*d^2)*e)","F",0
650,-1,0,0,0.000000," ","integrate(1/(e*f*x+d*f)/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
651,-1,0,0,0.000000," ","integrate(1/(e*f*x+d*f)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
652,-1,0,0,0.000000," ","integrate(1/(e*f*x+d*f)^3/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
653,-1,0,0,0.000000," ","integrate(1/(e*f*x+d*f)^4/(a+b*(e*x+d)^2+c*(e*x+d)^4)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
654,-1,0,0,0.000000," ","integrate((e*f*x+d*f)^4/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
655,-1,0,0,0.000000," ","integrate((e*f*x+d*f)^3/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
656,-1,0,0,0.000000," ","integrate((e*f*x+d*f)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
657,-1,0,0,0.000000," ","integrate((e*f*x+d*f)/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
658,-1,0,0,0.000000," ","integrate(1/(e*f*x+d*f)/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
659,-1,0,0,0.000000," ","integrate(1/(e*f*x+d*f)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
660,-1,0,0,0.000000," ","integrate(1/(e*f*x+d*f)^3/(a+b*(e*x+d)^2+c*(e*x+d)^4)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
661,0,0,0,0.000000," ","integrate(x/(a+b*(e*x+d)^3+c*(e*x+d)^6)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{{\left(e x + d\right)}^{6} c + {\left(e x + d\right)}^{3} b + a}}\,{d x}"," ",0,"integrate(x/sqrt((e*x + d)^6*c + (e*x + d)^3*b + a), x)","F",0
662,0,0,0,0.000000," ","integrate(x^2/(a+b*(e*x+d)^3+c*(e*x+d)^6)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{{\left(e x + d\right)}^{6} c + {\left(e x + d\right)}^{3} b + a}}\,{d x}"," ",0,"integrate(x^2/sqrt((e*x + d)^6*c + (e*x + d)^3*b + a), x)","F",0
663,1,104,0,0.543088," ","integrate((2+3*x)^6*(1+(2+3*x)^7+(2+3*x)^14),x, algorithm=""maxima"")","\frac{1162261467}{7} \, x^{21} + 2324522934 \, x^{20} + 15496819560 \, x^{19} + 65431015920 \, x^{18} + 196293047760 \, x^{17} + 444930908256 \, x^{16} + 790988281344 \, x^{15} + \frac{15819767221203}{14} \, x^{14} + 1318314865122 \, x^{13} + 1269491970942 \, x^{12} + 1015602174288 \, x^{11} + 677082445416 \, x^{10} + 376174427616 \, x^{9} + 173635132896 \, x^{8} + 66158154783 \, x^{7} + 20588764518 \, x^{6} + 5149786572 \, x^{5} + 1010576952 \, x^{4} + 149902032 \, x^{3} + 15808800 \, x^{2} + 1056832 \, x"," ",0,"1162261467/7*x^21 + 2324522934*x^20 + 15496819560*x^19 + 65431015920*x^18 + 196293047760*x^17 + 444930908256*x^16 + 790988281344*x^15 + 15819767221203/14*x^14 + 1318314865122*x^13 + 1269491970942*x^12 + 1015602174288*x^11 + 677082445416*x^10 + 376174427616*x^9 + 173635132896*x^8 + 66158154783*x^7 + 20588764518*x^6 + 5149786572*x^5 + 1010576952*x^4 + 149902032*x^3 + 15808800*x^2 + 1056832*x","B",0
664,1,174,0,0.773687," ","integrate((2+3*x)^6*(1+(2+3*x)^7+(2+3*x)^14)^2,x, algorithm=""maxima"")","\frac{16677181699666569}{35} \, x^{35} + 11118121133111046 \, x^{34} + 126005372841925188 \, x^{33} + 924039400840784712 \, x^{32} + 4928210137817518464 \, x^{31} + \frac{101849676181562048256}{5} \, x^{30} + 67899784121041365504 \, x^{29} + \frac{2625458326972530284475}{14} \, x^{28} + 437576396725285446564 \, x^{27} + 875152864622814086340 \, x^{26} + \frac{7584660010542711771792}{5} \, x^{25} + 2298383223254096766840 \, x^{24} + 3064515076512846852480 \, x^{23} + 3614565944605222108800 \, x^{22} + \frac{26506949038858918036881}{7} \, x^{21} + 3534290697929473864098 \, x^{20} + 2945285062308448290360 \, x^{19} + 2194577166014752240080 \, x^{18} + 1463104032160519033200 \, x^{17} + 872775774067455498528 \, x^{16} + 465517091041681015296 \, x^{15} + 221699757548270194389 \, x^{14} + 94069263918929616324 \, x^{13} + 35454069480572048124 \, x^{12} + 11821487501620716192 \, x^{11} + \frac{17344958593049772048}{5} \, x^{10} + 889942562270387136 \, x^{9} + 197897276851452864 \, x^{8} + 37727143432895007 \, x^{7} + 6077684727888102 \, x^{6} + \frac{4057390785756924}{5} \, x^{5} + 87406679578680 \, x^{4} + 7299544818384 \, x^{3} + 443569828128 \, x^{2} + 17451466816 \, x"," ",0,"16677181699666569/35*x^35 + 11118121133111046*x^34 + 126005372841925188*x^33 + 924039400840784712*x^32 + 4928210137817518464*x^31 + 101849676181562048256/5*x^30 + 67899784121041365504*x^29 + 2625458326972530284475/14*x^28 + 437576396725285446564*x^27 + 875152864622814086340*x^26 + 7584660010542711771792/5*x^25 + 2298383223254096766840*x^24 + 3064515076512846852480*x^23 + 3614565944605222108800*x^22 + 26506949038858918036881/7*x^21 + 3534290697929473864098*x^20 + 2945285062308448290360*x^19 + 2194577166014752240080*x^18 + 1463104032160519033200*x^17 + 872775774067455498528*x^16 + 465517091041681015296*x^15 + 221699757548270194389*x^14 + 94069263918929616324*x^13 + 35454069480572048124*x^12 + 11821487501620716192*x^11 + 17344958593049772048/5*x^10 + 889942562270387136*x^9 + 197897276851452864*x^8 + 37727143432895007*x^7 + 6077684727888102*x^6 + 4057390785756924/5*x^5 + 87406679578680*x^4 + 7299544818384*x^3 + 443569828128*x^2 + 17451466816*x","B",0
