1,1,125,0,0.430726," ","integrate(x^3*(e*x^2+d)*(c*x^4+a)^5,x, algorithm=""maxima"")","\frac{1}{26} \, c^{5} e x^{26} + \frac{1}{24} \, c^{5} d x^{24} + \frac{5}{22} \, a c^{4} e x^{22} + \frac{1}{4} \, a c^{4} d x^{20} + \frac{5}{9} \, a^{2} c^{3} e x^{18} + \frac{5}{8} \, a^{2} c^{3} d x^{16} + \frac{5}{7} \, a^{3} c^{2} e x^{14} + \frac{5}{6} \, a^{3} c^{2} d x^{12} + \frac{1}{2} \, a^{4} c e x^{10} + \frac{5}{8} \, a^{4} c d x^{8} + \frac{1}{6} \, a^{5} e x^{6} + \frac{1}{4} \, a^{5} d x^{4}"," ",0,"1/26*c^5*e*x^26 + 1/24*c^5*d*x^24 + 5/22*a*c^4*e*x^22 + 1/4*a*c^4*d*x^20 + 5/9*a^2*c^3*e*x^18 + 5/8*a^2*c^3*d*x^16 + 5/7*a^3*c^2*e*x^14 + 5/6*a^3*c^2*d*x^12 + 1/2*a^4*c*e*x^10 + 5/8*a^4*c*d*x^8 + 1/6*a^5*e*x^6 + 1/4*a^5*d*x^4","A",0
2,1,125,0,0.463190," ","integrate(x^2*(e*x^2+d)*(c*x^4+a)^5,x, algorithm=""maxima"")","\frac{1}{25} \, c^{5} e x^{25} + \frac{1}{23} \, c^{5} d x^{23} + \frac{5}{21} \, a c^{4} e x^{21} + \frac{5}{19} \, a c^{4} d x^{19} + \frac{10}{17} \, a^{2} c^{3} e x^{17} + \frac{2}{3} \, a^{2} c^{3} d x^{15} + \frac{10}{13} \, a^{3} c^{2} e x^{13} + \frac{10}{11} \, a^{3} c^{2} d x^{11} + \frac{5}{9} \, a^{4} c e x^{9} + \frac{5}{7} \, a^{4} c d x^{7} + \frac{1}{5} \, a^{5} e x^{5} + \frac{1}{3} \, a^{5} d x^{3}"," ",0,"1/25*c^5*e*x^25 + 1/23*c^5*d*x^23 + 5/21*a*c^4*e*x^21 + 5/19*a*c^4*d*x^19 + 10/17*a^2*c^3*e*x^17 + 2/3*a^2*c^3*d*x^15 + 10/13*a^3*c^2*e*x^13 + 10/11*a^3*c^2*d*x^11 + 5/9*a^4*c*e*x^9 + 5/7*a^4*c*d*x^7 + 1/5*a^5*e*x^5 + 1/3*a^5*d*x^3","A",0
3,1,124,0,0.440521," ","integrate(x*(e*x^2+d)*(c*x^4+a)^5,x, algorithm=""maxima"")","\frac{1}{24} \, c^{5} e x^{24} + \frac{1}{22} \, c^{5} d x^{22} + \frac{1}{4} \, a c^{4} e x^{20} + \frac{5}{18} \, a c^{4} d x^{18} + \frac{5}{8} \, a^{2} c^{3} e x^{16} + \frac{5}{7} \, a^{2} c^{3} d x^{14} + \frac{5}{6} \, a^{3} c^{2} e x^{12} + a^{3} c^{2} d x^{10} + \frac{5}{8} \, a^{4} c e x^{8} + \frac{5}{6} \, a^{4} c d x^{6} + \frac{1}{4} \, a^{5} e x^{4} + \frac{1}{2} \, a^{5} d x^{2}"," ",0,"1/24*c^5*e*x^24 + 1/22*c^5*d*x^22 + 1/4*a*c^4*e*x^20 + 5/18*a*c^4*d*x^18 + 5/8*a^2*c^3*e*x^16 + 5/7*a^2*c^3*d*x^14 + 5/6*a^3*c^2*e*x^12 + a^3*c^2*d*x^10 + 5/8*a^4*c*e*x^8 + 5/6*a^4*c*d*x^6 + 1/4*a^5*e*x^4 + 1/2*a^5*d*x^2","A",0
4,1,121,0,0.464939," ","integrate((e*x^2+d)*(c*x^4+a)^5,x, algorithm=""maxima"")","\frac{1}{23} \, c^{5} e x^{23} + \frac{1}{21} \, c^{5} d x^{21} + \frac{5}{19} \, a c^{4} e x^{19} + \frac{5}{17} \, a c^{4} d x^{17} + \frac{2}{3} \, a^{2} c^{3} e x^{15} + \frac{10}{13} \, a^{2} c^{3} d x^{13} + \frac{10}{11} \, a^{3} c^{2} e x^{11} + \frac{10}{9} \, a^{3} c^{2} d x^{9} + \frac{5}{7} \, a^{4} c e x^{7} + a^{4} c d x^{5} + \frac{1}{3} \, a^{5} e x^{3} + a^{5} d x"," ",0,"1/23*c^5*e*x^23 + 1/21*c^5*d*x^21 + 5/19*a*c^4*e*x^19 + 5/17*a*c^4*d*x^17 + 2/3*a^2*c^3*e*x^15 + 10/13*a^2*c^3*d*x^13 + 10/11*a^3*c^2*e*x^11 + 10/9*a^3*c^2*d*x^9 + 5/7*a^4*c*e*x^7 + a^4*c*d*x^5 + 1/3*a^5*e*x^3 + a^5*d*x","A",0
5,1,125,0,0.517560," ","integrate((e*x^2+d)*(c*x^4+a)^5/x,x, algorithm=""maxima"")","\frac{1}{22} \, c^{5} e x^{22} + \frac{1}{20} \, c^{5} d x^{20} + \frac{5}{18} \, a c^{4} e x^{18} + \frac{5}{16} \, a c^{4} d x^{16} + \frac{5}{7} \, a^{2} c^{3} e x^{14} + \frac{5}{6} \, a^{2} c^{3} d x^{12} + a^{3} c^{2} e x^{10} + \frac{5}{4} \, a^{3} c^{2} d x^{8} + \frac{5}{6} \, a^{4} c e x^{6} + \frac{5}{4} \, a^{4} c d x^{4} + \frac{1}{2} \, a^{5} e x^{2} + \frac{1}{2} \, a^{5} d \log\left(x^{2}\right)"," ",0,"1/22*c^5*e*x^22 + 1/20*c^5*d*x^20 + 5/18*a*c^4*e*x^18 + 5/16*a*c^4*d*x^16 + 5/7*a^2*c^3*e*x^14 + 5/6*a^2*c^3*d*x^12 + a^3*c^2*e*x^10 + 5/4*a^3*c^2*d*x^8 + 5/6*a^4*c*e*x^6 + 5/4*a^4*c*d*x^4 + 1/2*a^5*e*x^2 + 1/2*a^5*d*log(x^2)","A",0
6,1,121,0,0.522189," ","integrate((e*x^2+d)*(c*x^4+a)^5/x^2,x, algorithm=""maxima"")","\frac{1}{21} \, c^{5} e x^{21} + \frac{1}{19} \, c^{5} d x^{19} + \frac{5}{17} \, a c^{4} e x^{17} + \frac{1}{3} \, a c^{4} d x^{15} + \frac{10}{13} \, a^{2} c^{3} e x^{13} + \frac{10}{11} \, a^{2} c^{3} d x^{11} + \frac{10}{9} \, a^{3} c^{2} e x^{9} + \frac{10}{7} \, a^{3} c^{2} d x^{7} + a^{4} c e x^{5} + \frac{5}{3} \, a^{4} c d x^{3} + a^{5} e x - \frac{a^{5} d}{x}"," ",0,"1/21*c^5*e*x^21 + 1/19*c^5*d*x^19 + 5/17*a*c^4*e*x^17 + 1/3*a*c^4*d*x^15 + 10/13*a^2*c^3*e*x^13 + 10/11*a^2*c^3*d*x^11 + 10/9*a^3*c^2*e*x^9 + 10/7*a^3*c^2*d*x^7 + a^4*c*e*x^5 + 5/3*a^4*c*d*x^3 + a^5*e*x - a^5*d/x","A",0
7,1,125,0,0.504188," ","integrate((e*x^2+d)*(c*x^4+a)^5/x^3,x, algorithm=""maxima"")","\frac{1}{20} \, c^{5} e x^{20} + \frac{1}{18} \, c^{5} d x^{18} + \frac{5}{16} \, a c^{4} e x^{16} + \frac{5}{14} \, a c^{4} d x^{14} + \frac{5}{6} \, a^{2} c^{3} e x^{12} + a^{2} c^{3} d x^{10} + \frac{5}{4} \, a^{3} c^{2} e x^{8} + \frac{5}{3} \, a^{3} c^{2} d x^{6} + \frac{5}{4} \, a^{4} c e x^{4} + \frac{5}{2} \, a^{4} c d x^{2} + \frac{1}{2} \, a^{5} e \log\left(x^{2}\right) - \frac{a^{5} d}{2 \, x^{2}}"," ",0,"1/20*c^5*e*x^20 + 1/18*c^5*d*x^18 + 5/16*a*c^4*e*x^16 + 5/14*a*c^4*d*x^14 + 5/6*a^2*c^3*e*x^12 + a^2*c^3*d*x^10 + 5/4*a^3*c^2*e*x^8 + 5/3*a^3*c^2*d*x^6 + 5/4*a^4*c*e*x^4 + 5/2*a^4*c*d*x^2 + 1/2*a^5*e*log(x^2) - 1/2*a^5*d/x^2","A",0
8,1,102,0,1.012233," ","integrate(x^5*(3*x^2+2)*(x^4+5)^(1/2),x, algorithm=""maxima"")","\frac{3}{10} \, {\left(x^{4} + 5\right)}^{\frac{5}{2}} - \frac{5}{2} \, {\left(x^{4} + 5\right)}^{\frac{3}{2}} - \frac{25 \, {\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + \frac{{\left(x^{4} + 5\right)}^{\frac{3}{2}}}{x^{6}}\right)}}{8 \, {\left(\frac{2 \, {\left(x^{4} + 5\right)}}{x^{4}} - \frac{{\left(x^{4} + 5\right)}^{2}}{x^{8}} - 1\right)}} - \frac{25}{16} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) + \frac{25}{16} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"3/10*(x^4 + 5)^(5/2) - 5/2*(x^4 + 5)^(3/2) - 25/8*(sqrt(x^4 + 5)/x^2 + (x^4 + 5)^(3/2)/x^6)/(2*(x^4 + 5)/x^4 - (x^4 + 5)^2/x^8 - 1) - 25/16*log(sqrt(x^4 + 5)/x^2 + 1) + 25/16*log(sqrt(x^4 + 5)/x^2 - 1)","B",0
9,1,93,0,1.015616," ","integrate(x^3*(3*x^2+2)*(x^4+5)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(x^{4} + 5\right)}^{\frac{3}{2}} - \frac{75 \, {\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + \frac{{\left(x^{4} + 5\right)}^{\frac{3}{2}}}{x^{6}}\right)}}{16 \, {\left(\frac{2 \, {\left(x^{4} + 5\right)}}{x^{4}} - \frac{{\left(x^{4} + 5\right)}^{2}}{x^{8}} - 1\right)}} - \frac{75}{32} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) + \frac{75}{32} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"1/3*(x^4 + 5)^(3/2) - 75/16*(sqrt(x^4 + 5)/x^2 + (x^4 + 5)^(3/2)/x^6)/(2*(x^4 + 5)/x^4 - (x^4 + 5)^2/x^8 - 1) - 75/32*log(sqrt(x^4 + 5)/x^2 + 1) + 75/32*log(sqrt(x^4 + 5)/x^2 - 1)","B",0
10,1,67,0,1.324774," ","integrate(x*(3*x^2+2)*(x^4+5)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(x^{4} + 5\right)}^{\frac{3}{2}} + \frac{5 \, \sqrt{x^{4} + 5}}{2 \, x^{2} {\left(\frac{x^{4} + 5}{x^{4}} - 1\right)}} + \frac{5}{4} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{5}{4} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"1/2*(x^4 + 5)^(3/2) + 5/2*sqrt(x^4 + 5)/(x^2*((x^4 + 5)/x^4 - 1)) + 5/4*log(sqrt(x^4 + 5)/x^2 + 1) - 5/4*log(sqrt(x^4 + 5)/x^2 - 1)","B",0
11,1,99,0,1.560642," ","integrate((3*x^2+2)*(x^4+5)^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{x^{4} + 5}}{\sqrt{5} + \sqrt{x^{4} + 5}}\right) + \sqrt{x^{4} + 5} + \frac{15 \, \sqrt{x^{4} + 5}}{4 \, x^{2} {\left(\frac{x^{4} + 5}{x^{4}} - 1\right)}} + \frac{15}{8} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{15}{8} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"1/2*sqrt(5)*log(-(sqrt(5) - sqrt(x^4 + 5))/(sqrt(5) + sqrt(x^4 + 5))) + sqrt(x^4 + 5) + 15/4*sqrt(x^4 + 5)/(x^2*((x^4 + 5)/x^4 - 1)) + 15/8*log(sqrt(x^4 + 5)/x^2 + 1) - 15/8*log(sqrt(x^4 + 5)/x^2 - 1)","B",0
12,1,88,0,1.408283," ","integrate((3*x^2+2)*(x^4+5)^(1/2)/x^3,x, algorithm=""maxima"")","\frac{3}{4} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{x^{4} + 5}}{\sqrt{5} + \sqrt{x^{4} + 5}}\right) + \frac{3}{2} \, \sqrt{x^{4} + 5} - \frac{\sqrt{x^{4} + 5}}{x^{2}} + \frac{1}{2} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{1}{2} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"3/4*sqrt(5)*log(-(sqrt(5) - sqrt(x^4 + 5))/(sqrt(5) + sqrt(x^4 + 5))) + 3/2*sqrt(x^4 + 5) - sqrt(x^4 + 5)/x^2 + 1/2*log(sqrt(x^4 + 5)/x^2 + 1) - 1/2*log(sqrt(x^4 + 5)/x^2 - 1)","A",0
13,1,91,0,1.237124," ","integrate((3*x^2+2)*(x^4+5)^(1/2)/x^5,x, algorithm=""maxima"")","\frac{1}{20} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{x^{4} + 5}}{\sqrt{5} + \sqrt{x^{4} + 5}}\right) - \frac{3 \, \sqrt{x^{4} + 5}}{2 \, x^{2}} - \frac{\sqrt{x^{4} + 5}}{2 \, x^{4}} + \frac{3}{4} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{3}{4} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"1/20*sqrt(5)*log(-(sqrt(5) - sqrt(x^4 + 5))/(sqrt(5) + sqrt(x^4 + 5))) - 3/2*sqrt(x^4 + 5)/x^2 - 1/2*sqrt(x^4 + 5)/x^4 + 3/4*log(sqrt(x^4 + 5)/x^2 + 1) - 3/4*log(sqrt(x^4 + 5)/x^2 - 1)","A",0
14,1,59,0,1.612281," ","integrate((3*x^2+2)*(x^4+5)^(1/2)/x^7,x, algorithm=""maxima"")","\frac{3}{40} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{x^{4} + 5}}{\sqrt{5} + \sqrt{x^{4} + 5}}\right) - \frac{3 \, \sqrt{x^{4} + 5}}{4 \, x^{4}} - \frac{{\left(x^{4} + 5\right)}^{\frac{3}{2}}}{15 \, x^{6}}"," ",0,"3/40*sqrt(5)*log(-(sqrt(5) - sqrt(x^4 + 5))/(sqrt(5) + sqrt(x^4 + 5))) - 3/4*sqrt(x^4 + 5)/x^4 - 1/15*(x^4 + 5)^(3/2)/x^6","A",0
15,0,0,0,0.000000," ","integrate(x^4*(3*x^2+2)*(x^4+5)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 5} {\left(3 \, x^{2} + 2\right)} x^{4}\,{d x}"," ",0,"integrate(sqrt(x^4 + 5)*(3*x^2 + 2)*x^4, x)","F",0
16,0,0,0,0.000000," ","integrate(x^2*(3*x^2+2)*(x^4+5)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 5} {\left(3 \, x^{2} + 2\right)} x^{2}\,{d x}"," ",0,"integrate(sqrt(x^4 + 5)*(3*x^2 + 2)*x^2, x)","F",0
17,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^4+5)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 5} {\left(3 \, x^{2} + 2\right)}\,{d x}"," ",0,"integrate(sqrt(x^4 + 5)*(3*x^2 + 2), x)","F",0
18,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^4+5)^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 5} {\left(3 \, x^{2} + 2\right)}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 5)*(3*x^2 + 2)/x^2, x)","F",0
19,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^4+5)^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 5} {\left(3 \, x^{2} + 2\right)}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 5)*(3*x^2 + 2)/x^4, x)","F",0
20,1,127,0,1.348869," ","integrate(x^5*(3*x^2+2)*(x^4+5)^(3/2),x, algorithm=""maxima"")","\frac{3}{14} \, {\left(x^{4} + 5\right)}^{\frac{7}{2}} - \frac{3}{2} \, {\left(x^{4} + 5\right)}^{\frac{5}{2}} - \frac{125 \, {\left(\frac{3 \, \sqrt{x^{4} + 5}}{x^{2}} - \frac{8 \, {\left(x^{4} + 5\right)}^{\frac{3}{2}}}{x^{6}} - \frac{3 \, {\left(x^{4} + 5\right)}^{\frac{5}{2}}}{x^{10}}\right)}}{48 \, {\left(\frac{3 \, {\left(x^{4} + 5\right)}}{x^{4}} - \frac{3 \, {\left(x^{4} + 5\right)}^{2}}{x^{8}} + \frac{{\left(x^{4} + 5\right)}^{3}}{x^{12}} - 1\right)}} - \frac{125}{32} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) + \frac{125}{32} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"3/14*(x^4 + 5)^(7/2) - 3/2*(x^4 + 5)^(5/2) - 125/48*(3*sqrt(x^4 + 5)/x^2 - 8*(x^4 + 5)^(3/2)/x^6 - 3*(x^4 + 5)^(5/2)/x^10)/(3*(x^4 + 5)/x^4 - 3*(x^4 + 5)^2/x^8 + (x^4 + 5)^3/x^12 - 1) - 125/32*log(sqrt(x^4 + 5)/x^2 + 1) + 125/32*log(sqrt(x^4 + 5)/x^2 - 1)","A",0
21,1,118,0,1.132809," ","integrate(x^3*(3*x^2+2)*(x^4+5)^(3/2),x, algorithm=""maxima"")","\frac{1}{5} \, {\left(x^{4} + 5\right)}^{\frac{5}{2}} - \frac{125 \, {\left(\frac{3 \, \sqrt{x^{4} + 5}}{x^{2}} - \frac{8 \, {\left(x^{4} + 5\right)}^{\frac{3}{2}}}{x^{6}} - \frac{3 \, {\left(x^{4} + 5\right)}^{\frac{5}{2}}}{x^{10}}\right)}}{32 \, {\left(\frac{3 \, {\left(x^{4} + 5\right)}}{x^{4}} - \frac{3 \, {\left(x^{4} + 5\right)}^{2}}{x^{8}} + \frac{{\left(x^{4} + 5\right)}^{3}}{x^{12}} - 1\right)}} - \frac{375}{64} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) + \frac{375}{64} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"1/5*(x^4 + 5)^(5/2) - 125/32*(3*sqrt(x^4 + 5)/x^2 - 8*(x^4 + 5)^(3/2)/x^6 - 3*(x^4 + 5)^(5/2)/x^10)/(3*(x^4 + 5)/x^4 - 3*(x^4 + 5)^2/x^8 + (x^4 + 5)^3/x^12 - 1) - 375/64*log(sqrt(x^4 + 5)/x^2 + 1) + 375/64*log(sqrt(x^4 + 5)/x^2 - 1)","B",0
22,1,95,0,1.596862," ","integrate(x*(3*x^2+2)*(x^4+5)^(3/2),x, algorithm=""maxima"")","\frac{3}{10} \, {\left(x^{4} + 5\right)}^{\frac{5}{2}} + \frac{25 \, {\left(\frac{3 \, \sqrt{x^{4} + 5}}{x^{2}} - \frac{5 \, {\left(x^{4} + 5\right)}^{\frac{3}{2}}}{x^{6}}\right)}}{8 \, {\left(\frac{2 \, {\left(x^{4} + 5\right)}}{x^{4}} - \frac{{\left(x^{4} + 5\right)}^{2}}{x^{8}} - 1\right)}} + \frac{75}{16} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{75}{16} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"3/10*(x^4 + 5)^(5/2) + 25/8*(3*sqrt(x^4 + 5)/x^2 - 5*(x^4 + 5)^(3/2)/x^6)/(2*(x^4 + 5)/x^4 - (x^4 + 5)^2/x^8 - 1) + 75/16*log(sqrt(x^4 + 5)/x^2 + 1) - 75/16*log(sqrt(x^4 + 5)/x^2 - 1)","B",0
23,1,138,0,1.186995," ","integrate((3*x^2+2)*(x^4+5)^(3/2)/x,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(x^{4} + 5\right)}^{\frac{3}{2}} + \frac{5}{2} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{x^{4} + 5}}{\sqrt{5} + \sqrt{x^{4} + 5}}\right) + 5 \, \sqrt{x^{4} + 5} + \frac{75 \, {\left(\frac{3 \, \sqrt{x^{4} + 5}}{x^{2}} - \frac{5 \, {\left(x^{4} + 5\right)}^{\frac{3}{2}}}{x^{6}}\right)}}{16 \, {\left(\frac{2 \, {\left(x^{4} + 5\right)}}{x^{4}} - \frac{{\left(x^{4} + 5\right)}^{2}}{x^{8}} - 1\right)}} + \frac{225}{32} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{225}{32} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"1/3*(x^4 + 5)^(3/2) + 5/2*sqrt(5)*log(-(sqrt(5) - sqrt(x^4 + 5))/(sqrt(5) + sqrt(x^4 + 5))) + 5*sqrt(x^4 + 5) + 75/16*(3*sqrt(x^4 + 5)/x^2 - 5*(x^4 + 5)^(3/2)/x^6)/(2*(x^4 + 5)/x^4 - (x^4 + 5)^2/x^8 - 1) + 225/32*log(sqrt(x^4 + 5)/x^2 + 1) - 225/32*log(sqrt(x^4 + 5)/x^2 - 1)","B",0
24,1,122,0,1.330426," ","integrate((3*x^2+2)*(x^4+5)^(3/2)/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(x^{4} + 5\right)}^{\frac{3}{2}} + \frac{15}{4} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{x^{4} + 5}}{\sqrt{5} + \sqrt{x^{4} + 5}}\right) + \frac{15}{2} \, \sqrt{x^{4} + 5} - \frac{5 \, \sqrt{x^{4} + 5}}{x^{2}} + \frac{5 \, \sqrt{x^{4} + 5}}{2 \, x^{2} {\left(\frac{x^{4} + 5}{x^{4}} - 1\right)}} + \frac{15}{4} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{15}{4} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"1/2*(x^4 + 5)^(3/2) + 15/4*sqrt(5)*log(-(sqrt(5) - sqrt(x^4 + 5))/(sqrt(5) + sqrt(x^4 + 5))) + 15/2*sqrt(x^4 + 5) - 5*sqrt(x^4 + 5)/x^2 + 5/2*sqrt(x^4 + 5)/(x^2*((x^4 + 5)/x^4 - 1)) + 15/4*log(sqrt(x^4 + 5)/x^2 + 1) - 15/4*log(sqrt(x^4 + 5)/x^2 - 1)","A",0
25,1,123,0,1.372275," ","integrate((3*x^2+2)*(x^4+5)^(3/2)/x^5,x, algorithm=""maxima"")","\frac{3}{4} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{x^{4} + 5}}{\sqrt{5} + \sqrt{x^{4} + 5}}\right) + \sqrt{x^{4} + 5} - \frac{15 \, \sqrt{x^{4} + 5}}{2 \, x^{2}} + \frac{15 \, \sqrt{x^{4} + 5}}{4 \, x^{2} {\left(\frac{x^{4} + 5}{x^{4}} - 1\right)}} - \frac{5 \, \sqrt{x^{4} + 5}}{2 \, x^{4}} + \frac{45}{8} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{45}{8} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"3/4*sqrt(5)*log(-(sqrt(5) - sqrt(x^4 + 5))/(sqrt(5) + sqrt(x^4 + 5))) + sqrt(x^4 + 5) - 15/2*sqrt(x^4 + 5)/x^2 + 15/4*sqrt(x^4 + 5)/(x^2*((x^4 + 5)/x^4 - 1)) - 5/2*sqrt(x^4 + 5)/x^4 + 45/8*log(sqrt(x^4 + 5)/x^2 + 1) - 45/8*log(sqrt(x^4 + 5)/x^2 - 1)","A",0
26,1,112,0,1.346098," ","integrate((3*x^2+2)*(x^4+5)^(3/2)/x^7,x, algorithm=""maxima"")","\frac{9}{8} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{x^{4} + 5}}{\sqrt{5} + \sqrt{x^{4} + 5}}\right) + \frac{3}{2} \, \sqrt{x^{4} + 5} - \frac{\sqrt{x^{4} + 5}}{x^{2}} - \frac{15 \, \sqrt{x^{4} + 5}}{4 \, x^{4}} - \frac{{\left(x^{4} + 5\right)}^{\frac{3}{2}}}{3 \, x^{6}} + \frac{1}{2} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{1}{2} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"9/8*sqrt(5)*log(-(sqrt(5) - sqrt(x^4 + 5))/(sqrt(5) + sqrt(x^4 + 5))) + 3/2*sqrt(x^4 + 5) - sqrt(x^4 + 5)/x^2 - 15/4*sqrt(x^4 + 5)/x^4 - 1/3*(x^4 + 5)^(3/2)/x^6 + 1/2*log(sqrt(x^4 + 5)/x^2 + 1) - 1/2*log(sqrt(x^4 + 5)/x^2 - 1)","A",0
27,0,0,0,0.000000," ","integrate(x^4*(3*x^2+2)*(x^4+5)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 5\right)}^{\frac{3}{2}} {\left(3 \, x^{2} + 2\right)} x^{4}\,{d x}"," ",0,"integrate((x^4 + 5)^(3/2)*(3*x^2 + 2)*x^4, x)","F",0
28,0,0,0,0.000000," ","integrate(x^2*(3*x^2+2)*(x^4+5)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 5\right)}^{\frac{3}{2}} {\left(3 \, x^{2} + 2\right)} x^{2}\,{d x}"," ",0,"integrate((x^4 + 5)^(3/2)*(3*x^2 + 2)*x^2, x)","F",0
29,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^4+5)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 5\right)}^{\frac{3}{2}} {\left(3 \, x^{2} + 2\right)}\,{d x}"," ",0,"integrate((x^4 + 5)^(3/2)*(3*x^2 + 2), x)","F",0
30,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^4+5)^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 5\right)}^{\frac{3}{2}} {\left(3 \, x^{2} + 2\right)}}{x^{2}}\,{d x}"," ",0,"integrate((x^4 + 5)^(3/2)*(3*x^2 + 2)/x^2, x)","F",0
31,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^4+5)^(3/2)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 5\right)}^{\frac{3}{2}} {\left(3 \, x^{2} + 2\right)}}{x^{4}}\,{d x}"," ",0,"integrate((x^4 + 5)^(3/2)*(3*x^2 + 2)/x^4, x)","F",0
32,1,104,0,1.314403," ","integrate(x^7*(3*x^2+2)/(x^4+5)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(x^{4} + 5\right)}^{\frac{3}{2}} - 5 \, \sqrt{x^{4} + 5} - \frac{75 \, {\left(\frac{5 \, \sqrt{x^{4} + 5}}{x^{2}} - \frac{3 \, {\left(x^{4} + 5\right)}^{\frac{3}{2}}}{x^{6}}\right)}}{16 \, {\left(\frac{2 \, {\left(x^{4} + 5\right)}}{x^{4}} - \frac{{\left(x^{4} + 5\right)}^{2}}{x^{8}} - 1\right)}} + \frac{225}{32} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{225}{32} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"1/3*(x^4 + 5)^(3/2) - 5*sqrt(x^4 + 5) - 75/16*(5*sqrt(x^4 + 5)/x^2 - 3*(x^4 + 5)^(3/2)/x^6)/(2*(x^4 + 5)/x^4 - (x^4 + 5)^2/x^8 - 1) + 225/32*log(sqrt(x^4 + 5)/x^2 + 1) - 225/32*log(sqrt(x^4 + 5)/x^2 - 1)","A",0
33,1,76,0,1.218417," ","integrate(x^5*(3*x^2+2)/(x^4+5)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(x^{4} + 5\right)}^{\frac{3}{2}} - \frac{15}{2} \, \sqrt{x^{4} + 5} + \frac{5 \, \sqrt{x^{4} + 5}}{2 \, x^{2} {\left(\frac{x^{4} + 5}{x^{4}} - 1\right)}} - \frac{5}{4} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) + \frac{5}{4} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"1/2*(x^4 + 5)^(3/2) - 15/2*sqrt(x^4 + 5) + 5/2*sqrt(x^4 + 5)/(x^2*((x^4 + 5)/x^4 - 1)) - 5/4*log(sqrt(x^4 + 5)/x^2 + 1) + 5/4*log(sqrt(x^4 + 5)/x^2 - 1)","A",0
34,1,65,0,1.157945," ","integrate(x^3*(3*x^2+2)/(x^4+5)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{4} + 5} + \frac{15 \, \sqrt{x^{4} + 5}}{4 \, x^{2} {\left(\frac{x^{4} + 5}{x^{4}} - 1\right)}} - \frac{15}{8} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) + \frac{15}{8} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"sqrt(x^4 + 5) + 15/4*sqrt(x^4 + 5)/(x^2*((x^4 + 5)/x^4 - 1)) - 15/8*log(sqrt(x^4 + 5)/x^2 + 1) + 15/8*log(sqrt(x^4 + 5)/x^2 - 1)","B",0
35,1,42,0,1.117816," ","integrate(x*(3*x^2+2)/(x^4+5)^(1/2),x, algorithm=""maxima"")","\frac{3}{2} \, \sqrt{x^{4} + 5} + \frac{1}{2} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{1}{2} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"3/2*sqrt(x^4 + 5) + 1/2*log(sqrt(x^4 + 5)/x^2 + 1) - 1/2*log(sqrt(x^4 + 5)/x^2 - 1)","B",0
36,1,67,0,1.172773," ","integrate((3*x^2+2)/x/(x^4+5)^(1/2),x, algorithm=""maxima"")","\frac{1}{10} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{x^{4} + 5}}{\sqrt{5} + \sqrt{x^{4} + 5}}\right) + \frac{3}{4} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{3}{4} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"1/10*sqrt(5)*log(-(sqrt(5) - sqrt(x^4 + 5))/(sqrt(5) + sqrt(x^4 + 5))) + 3/4*log(sqrt(x^4 + 5)/x^2 + 1) - 3/4*log(sqrt(x^4 + 5)/x^2 - 1)","B",0
37,1,47,0,1.257316," ","integrate((3*x^2+2)/x^3/(x^4+5)^(1/2),x, algorithm=""maxima"")","\frac{3}{20} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{x^{4} + 5}}{\sqrt{5} + \sqrt{x^{4} + 5}}\right) - \frac{\sqrt{x^{4} + 5}}{5 \, x^{2}}"," ",0,"3/20*sqrt(5)*log(-(sqrt(5) - sqrt(x^4 + 5))/(sqrt(5) + sqrt(x^4 + 5))) - 1/5*sqrt(x^4 + 5)/x^2","A",0
38,1,59,0,1.118395," ","integrate((3*x^2+2)/x^5/(x^4+5)^(1/2),x, algorithm=""maxima"")","-\frac{1}{100} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{x^{4} + 5}}{\sqrt{5} + \sqrt{x^{4} + 5}}\right) - \frac{3 \, \sqrt{x^{4} + 5}}{10 \, x^{2}} - \frac{\sqrt{x^{4} + 5}}{10 \, x^{4}}"," ",0,"-1/100*sqrt(5)*log(-(sqrt(5) - sqrt(x^4 + 5))/(sqrt(5) + sqrt(x^4 + 5))) - 3/10*sqrt(x^4 + 5)/x^2 - 1/10*sqrt(x^4 + 5)/x^4","A",0
39,0,0,0,0.000000," ","integrate(x^4*(3*x^2+2)/(x^4+5)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{2} + 2\right)} x^{4}}{\sqrt{x^{4} + 5}}\,{d x}"," ",0,"integrate((3*x^2 + 2)*x^4/sqrt(x^4 + 5), x)","F",0
40,0,0,0,0.000000," ","integrate(x^2*(3*x^2+2)/(x^4+5)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{2} + 2\right)} x^{2}}{\sqrt{x^{4} + 5}}\,{d x}"," ",0,"integrate((3*x^2 + 2)*x^2/sqrt(x^4 + 5), x)","F",0
41,0,0,0,0.000000," ","integrate((3*x^2+2)/(x^4+5)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{2} + 2}{\sqrt{x^{4} + 5}}\,{d x}"," ",0,"integrate((3*x^2 + 2)/sqrt(x^4 + 5), x)","F",0
42,0,0,0,0.000000," ","integrate((3*x^2+2)/x^2/(x^4+5)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{2} + 2}{\sqrt{x^{4} + 5} x^{2}}\,{d x}"," ",0,"integrate((3*x^2 + 2)/(sqrt(x^4 + 5)*x^2), x)","F",0
43,0,0,0,0.000000," ","integrate((3*x^2+2)/x^4/(x^4+5)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{2} + 2}{\sqrt{x^{4} + 5} x^{4}}\,{d x}"," ",0,"integrate((3*x^2 + 2)/(sqrt(x^4 + 5)*x^4), x)","F",0
44,1,89,0,1.211344," ","integrate(x^7*(3*x^2+2)/(x^4+5)^(3/2),x, algorithm=""maxima"")","\sqrt{x^{4} + 5} - \frac{15 \, {\left(\frac{3 \, {\left(x^{4} + 5\right)}}{x^{4}} - 2\right)}}{4 \, {\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - \frac{{\left(x^{4} + 5\right)}^{\frac{3}{2}}}{x^{6}}\right)}} + \frac{5}{\sqrt{x^{4} + 5}} - \frac{45}{8} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) + \frac{45}{8} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"sqrt(x^4 + 5) - 15/4*(3*(x^4 + 5)/x^4 - 2)/(sqrt(x^4 + 5)/x^2 - (x^4 + 5)^(3/2)/x^6) + 5/sqrt(x^4 + 5) - 45/8*log(sqrt(x^4 + 5)/x^2 + 1) + 45/8*log(sqrt(x^4 + 5)/x^2 - 1)","A",0
45,1,63,0,1.413935," ","integrate(x^5*(3*x^2+2)/(x^4+5)^(3/2),x, algorithm=""maxima"")","-\frac{x^{2}}{\sqrt{x^{4} + 5}} + \frac{3}{2} \, \sqrt{x^{4} + 5} + \frac{15}{2 \, \sqrt{x^{4} + 5}} + \frac{1}{2} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{1}{2} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"-x^2/sqrt(x^4 + 5) + 3/2*sqrt(x^4 + 5) + 15/2/sqrt(x^4 + 5) + 1/2*log(sqrt(x^4 + 5)/x^2 + 1) - 1/2*log(sqrt(x^4 + 5)/x^2 - 1)","A",0
46,1,54,0,1.226555," ","integrate(x^3*(3*x^2+2)/(x^4+5)^(3/2),x, algorithm=""maxima"")","-\frac{3 \, x^{2}}{2 \, \sqrt{x^{4} + 5}} - \frac{1}{\sqrt{x^{4} + 5}} + \frac{3}{4} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} + 1\right) - \frac{3}{4} \, \log\left(\frac{\sqrt{x^{4} + 5}}{x^{2}} - 1\right)"," ",0,"-3/2*x^2/sqrt(x^4 + 5) - 1/sqrt(x^4 + 5) + 3/4*log(sqrt(x^4 + 5)/x^2 + 1) - 3/4*log(sqrt(x^4 + 5)/x^2 - 1)","A",0
47,1,22,0,1.485916," ","integrate(x*(3*x^2+2)/(x^4+5)^(3/2),x, algorithm=""maxima"")","\frac{x^{2}}{5 \, \sqrt{x^{4} + 5}} - \frac{3}{2 \, \sqrt{x^{4} + 5}}"," ",0,"1/5*x^2/sqrt(x^4 + 5) - 3/2/sqrt(x^4 + 5)","A",0
48,1,56,0,1.405088," ","integrate((3*x^2+2)/x/(x^4+5)^(3/2),x, algorithm=""maxima"")","\frac{3 \, x^{2}}{10 \, \sqrt{x^{4} + 5}} + \frac{1}{50} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{x^{4} + 5}}{\sqrt{5} + \sqrt{x^{4} + 5}}\right) + \frac{1}{5 \, \sqrt{x^{4} + 5}}"," ",0,"3/10*x^2/sqrt(x^4 + 5) + 1/50*sqrt(5)*log(-(sqrt(5) - sqrt(x^4 + 5))/(sqrt(5) + sqrt(x^4 + 5))) + 1/5/sqrt(x^4 + 5)","A",0
49,1,68,0,1.098061," ","integrate((3*x^2+2)/x^3/(x^4+5)^(3/2),x, algorithm=""maxima"")","-\frac{x^{2}}{25 \, \sqrt{x^{4} + 5}} + \frac{3}{100} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - \sqrt{x^{4} + 5}}{\sqrt{5} + \sqrt{x^{4} + 5}}\right) + \frac{3}{10 \, \sqrt{x^{4} + 5}} - \frac{\sqrt{x^{4} + 5}}{25 \, x^{2}}"," ",0,"-1/25*x^2/sqrt(x^4 + 5) + 3/100*sqrt(5)*log(-(sqrt(5) - sqrt(x^4 + 5))/(sqrt(5) + sqrt(x^4 + 5))) + 3/10/sqrt(x^4 + 5) - 1/25*sqrt(x^4 + 5)/x^2","A",0
50,0,0,0,0.000000," ","integrate(x^4*(3*x^2+2)/(x^4+5)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{2} + 2\right)} x^{4}}{{\left(x^{4} + 5\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x^2 + 2)*x^4/(x^4 + 5)^(3/2), x)","F",0
51,0,0,0,0.000000," ","integrate(x^2*(3*x^2+2)/(x^4+5)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{2} + 2\right)} x^{2}}{{\left(x^{4} + 5\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x^2 + 2)*x^2/(x^4 + 5)^(3/2), x)","F",0
52,0,0,0,0.000000," ","integrate((3*x^2+2)/(x^4+5)^(3/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{2} + 2}{{\left(x^{4} + 5\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x^2 + 2)/(x^4 + 5)^(3/2), x)","F",0
53,0,0,0,0.000000," ","integrate((3*x^2+2)/x^2/(x^4+5)^(3/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{2} + 2}{{\left(x^{4} + 5\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate((3*x^2 + 2)/((x^4 + 5)^(3/2)*x^2), x)","F",0
54,0,0,0,0.000000," ","integrate((3*x^2+2)/x^4/(x^4+5)^(3/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{2} + 2}{{\left(x^{4} + 5\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate((3*x^2 + 2)/((x^4 + 5)^(3/2)*x^4), x)","F",0
55,1,372,0,0.885372," ","integrate((f*x)^m*(e*x^2+d)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{e f^{m} x^{23} x^{m}}{m + 23} + \frac{d f^{m} x^{21} x^{m}}{m + 21} + \frac{10 \, e f^{m} x^{21} x^{m}}{m + 21} + \frac{10 \, d f^{m} x^{19} x^{m}}{m + 19} + \frac{45 \, e f^{m} x^{19} x^{m}}{m + 19} + \frac{45 \, d f^{m} x^{17} x^{m}}{m + 17} + \frac{120 \, e f^{m} x^{17} x^{m}}{m + 17} + \frac{120 \, d f^{m} x^{15} x^{m}}{m + 15} + \frac{210 \, e f^{m} x^{15} x^{m}}{m + 15} + \frac{210 \, d f^{m} x^{13} x^{m}}{m + 13} + \frac{252 \, e f^{m} x^{13} x^{m}}{m + 13} + \frac{252 \, d f^{m} x^{11} x^{m}}{m + 11} + \frac{210 \, e f^{m} x^{11} x^{m}}{m + 11} + \frac{210 \, d f^{m} x^{9} x^{m}}{m + 9} + \frac{120 \, e f^{m} x^{9} x^{m}}{m + 9} + \frac{120 \, d f^{m} x^{7} x^{m}}{m + 7} + \frac{45 \, e f^{m} x^{7} x^{m}}{m + 7} + \frac{45 \, d f^{m} x^{5} x^{m}}{m + 5} + \frac{10 \, e f^{m} x^{5} x^{m}}{m + 5} + \frac{10 \, d f^{m} x^{3} x^{m}}{m + 3} + \frac{e f^{m} x^{3} x^{m}}{m + 3} + \frac{\left(f x\right)^{m + 1} d}{f {\left(m + 1\right)}}"," ",0,"e*f^m*x^23*x^m/(m + 23) + d*f^m*x^21*x^m/(m + 21) + 10*e*f^m*x^21*x^m/(m + 21) + 10*d*f^m*x^19*x^m/(m + 19) + 45*e*f^m*x^19*x^m/(m + 19) + 45*d*f^m*x^17*x^m/(m + 17) + 120*e*f^m*x^17*x^m/(m + 17) + 120*d*f^m*x^15*x^m/(m + 15) + 210*e*f^m*x^15*x^m/(m + 15) + 210*d*f^m*x^13*x^m/(m + 13) + 252*e*f^m*x^13*x^m/(m + 13) + 252*d*f^m*x^11*x^m/(m + 11) + 210*e*f^m*x^11*x^m/(m + 11) + 210*d*f^m*x^9*x^m/(m + 9) + 120*e*f^m*x^9*x^m/(m + 9) + 120*d*f^m*x^7*x^m/(m + 7) + 45*e*f^m*x^7*x^m/(m + 7) + 45*d*f^m*x^5*x^m/(m + 5) + 10*e*f^m*x^5*x^m/(m + 5) + 10*d*f^m*x^3*x^m/(m + 3) + e*f^m*x^3*x^m/(m + 3) + (f*x)^(m + 1)*d/(f*(m + 1))","A",0
56,1,129,0,0.591434," ","integrate(x^5*(e*x^2+d)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{1}{28} \, e x^{28} + \frac{1}{26} \, {\left(d + 10 \, e\right)} x^{26} + \frac{5}{24} \, {\left(2 \, d + 9 \, e\right)} x^{24} + \frac{15}{22} \, {\left(3 \, d + 8 \, e\right)} x^{22} + \frac{3}{2} \, {\left(4 \, d + 7 \, e\right)} x^{20} + \frac{7}{3} \, {\left(5 \, d + 6 \, e\right)} x^{18} + \frac{21}{8} \, {\left(6 \, d + 5 \, e\right)} x^{16} + \frac{15}{7} \, {\left(7 \, d + 4 \, e\right)} x^{14} + \frac{5}{4} \, {\left(8 \, d + 3 \, e\right)} x^{12} + \frac{1}{2} \, {\left(9 \, d + 2 \, e\right)} x^{10} + \frac{1}{8} \, {\left(10 \, d + e\right)} x^{8} + \frac{1}{6} \, d x^{6}"," ",0,"1/28*e*x^28 + 1/26*(d + 10*e)*x^26 + 5/24*(2*d + 9*e)*x^24 + 15/22*(3*d + 8*e)*x^22 + 3/2*(4*d + 7*e)*x^20 + 7/3*(5*d + 6*e)*x^18 + 21/8*(6*d + 5*e)*x^16 + 15/7*(7*d + 4*e)*x^14 + 5/4*(8*d + 3*e)*x^12 + 1/2*(9*d + 2*e)*x^10 + 1/8*(10*d + e)*x^8 + 1/6*d*x^6","B",0
57,1,129,0,0.667187," ","integrate(x^4*(e*x^2+d)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{1}{27} \, e x^{27} + \frac{1}{25} \, {\left(d + 10 \, e\right)} x^{25} + \frac{5}{23} \, {\left(2 \, d + 9 \, e\right)} x^{23} + \frac{5}{7} \, {\left(3 \, d + 8 \, e\right)} x^{21} + \frac{30}{19} \, {\left(4 \, d + 7 \, e\right)} x^{19} + \frac{42}{17} \, {\left(5 \, d + 6 \, e\right)} x^{17} + \frac{14}{5} \, {\left(6 \, d + 5 \, e\right)} x^{15} + \frac{30}{13} \, {\left(7 \, d + 4 \, e\right)} x^{13} + \frac{15}{11} \, {\left(8 \, d + 3 \, e\right)} x^{11} + \frac{5}{9} \, {\left(9 \, d + 2 \, e\right)} x^{9} + \frac{1}{7} \, {\left(10 \, d + e\right)} x^{7} + \frac{1}{5} \, d x^{5}"," ",0,"1/27*e*x^27 + 1/25*(d + 10*e)*x^25 + 5/23*(2*d + 9*e)*x^23 + 5/7*(3*d + 8*e)*x^21 + 30/19*(4*d + 7*e)*x^19 + 42/17*(5*d + 6*e)*x^17 + 14/5*(6*d + 5*e)*x^15 + 30/13*(7*d + 4*e)*x^13 + 15/11*(8*d + 3*e)*x^11 + 5/9*(9*d + 2*e)*x^9 + 1/7*(10*d + e)*x^7 + 1/5*d*x^5","A",0
58,1,129,0,0.654253," ","integrate(x^3*(e*x^2+d)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{1}{26} \, e x^{26} + \frac{1}{24} \, {\left(d + 10 \, e\right)} x^{24} + \frac{5}{22} \, {\left(2 \, d + 9 \, e\right)} x^{22} + \frac{3}{4} \, {\left(3 \, d + 8 \, e\right)} x^{20} + \frac{5}{3} \, {\left(4 \, d + 7 \, e\right)} x^{18} + \frac{21}{8} \, {\left(5 \, d + 6 \, e\right)} x^{16} + 3 \, {\left(6 \, d + 5 \, e\right)} x^{14} + \frac{5}{2} \, {\left(7 \, d + 4 \, e\right)} x^{12} + \frac{3}{2} \, {\left(8 \, d + 3 \, e\right)} x^{10} + \frac{5}{8} \, {\left(9 \, d + 2 \, e\right)} x^{8} + \frac{1}{6} \, {\left(10 \, d + e\right)} x^{6} + \frac{1}{4} \, d x^{4}"," ",0,"1/26*e*x^26 + 1/24*(d + 10*e)*x^24 + 5/22*(2*d + 9*e)*x^22 + 3/4*(3*d + 8*e)*x^20 + 5/3*(4*d + 7*e)*x^18 + 21/8*(5*d + 6*e)*x^16 + 3*(6*d + 5*e)*x^14 + 5/2*(7*d + 4*e)*x^12 + 3/2*(8*d + 3*e)*x^10 + 5/8*(9*d + 2*e)*x^8 + 1/6*(10*d + e)*x^6 + 1/4*d*x^4","B",0
59,1,129,0,0.498783," ","integrate(x^2*(e*x^2+d)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{1}{25} \, e x^{25} + \frac{1}{23} \, {\left(d + 10 \, e\right)} x^{23} + \frac{5}{21} \, {\left(2 \, d + 9 \, e\right)} x^{21} + \frac{15}{19} \, {\left(3 \, d + 8 \, e\right)} x^{19} + \frac{30}{17} \, {\left(4 \, d + 7 \, e\right)} x^{17} + \frac{14}{5} \, {\left(5 \, d + 6 \, e\right)} x^{15} + \frac{42}{13} \, {\left(6 \, d + 5 \, e\right)} x^{13} + \frac{30}{11} \, {\left(7 \, d + 4 \, e\right)} x^{11} + \frac{5}{3} \, {\left(8 \, d + 3 \, e\right)} x^{9} + \frac{5}{7} \, {\left(9 \, d + 2 \, e\right)} x^{7} + \frac{1}{5} \, {\left(10 \, d + e\right)} x^{5} + \frac{1}{3} \, d x^{3}"," ",0,"1/25*e*x^25 + 1/23*(d + 10*e)*x^23 + 5/21*(2*d + 9*e)*x^21 + 15/19*(3*d + 8*e)*x^19 + 30/17*(4*d + 7*e)*x^17 + 14/5*(5*d + 6*e)*x^15 + 42/13*(6*d + 5*e)*x^13 + 30/11*(7*d + 4*e)*x^11 + 5/3*(8*d + 3*e)*x^9 + 5/7*(9*d + 2*e)*x^7 + 1/5*(10*d + e)*x^5 + 1/3*d*x^3","A",0
60,1,129,0,0.645137," ","integrate(x*(e*x^2+d)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{1}{24} \, e x^{24} + \frac{1}{22} \, {\left(d + 10 \, e\right)} x^{22} + \frac{1}{4} \, {\left(2 \, d + 9 \, e\right)} x^{20} + \frac{5}{6} \, {\left(3 \, d + 8 \, e\right)} x^{18} + \frac{15}{8} \, {\left(4 \, d + 7 \, e\right)} x^{16} + 3 \, {\left(5 \, d + 6 \, e\right)} x^{14} + \frac{7}{2} \, {\left(6 \, d + 5 \, e\right)} x^{12} + 3 \, {\left(7 \, d + 4 \, e\right)} x^{10} + \frac{15}{8} \, {\left(8 \, d + 3 \, e\right)} x^{8} + \frac{5}{6} \, {\left(9 \, d + 2 \, e\right)} x^{6} + \frac{1}{4} \, {\left(10 \, d + e\right)} x^{4} + \frac{1}{2} \, d x^{2}"," ",0,"1/24*e*x^24 + 1/22*(d + 10*e)*x^22 + 1/4*(2*d + 9*e)*x^20 + 5/6*(3*d + 8*e)*x^18 + 15/8*(4*d + 7*e)*x^16 + 3*(5*d + 6*e)*x^14 + 7/2*(6*d + 5*e)*x^12 + 3*(7*d + 4*e)*x^10 + 15/8*(8*d + 3*e)*x^8 + 5/6*(9*d + 2*e)*x^6 + 1/4*(10*d + e)*x^4 + 1/2*d*x^2","B",0
61,1,125,0,0.576414," ","integrate((e*x^2+d)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{1}{23} \, e x^{23} + \frac{1}{21} \, {\left(d + 10 \, e\right)} x^{21} + \frac{5}{19} \, {\left(2 \, d + 9 \, e\right)} x^{19} + \frac{15}{17} \, {\left(3 \, d + 8 \, e\right)} x^{17} + 2 \, {\left(4 \, d + 7 \, e\right)} x^{15} + \frac{42}{13} \, {\left(5 \, d + 6 \, e\right)} x^{13} + \frac{42}{11} \, {\left(6 \, d + 5 \, e\right)} x^{11} + \frac{10}{3} \, {\left(7 \, d + 4 \, e\right)} x^{9} + \frac{15}{7} \, {\left(8 \, d + 3 \, e\right)} x^{7} + {\left(9 \, d + 2 \, e\right)} x^{5} + \frac{1}{3} \, {\left(10 \, d + e\right)} x^{3} + d x"," ",0,"1/23*e*x^23 + 1/21*(d + 10*e)*x^21 + 5/19*(2*d + 9*e)*x^19 + 15/17*(3*d + 8*e)*x^17 + 2*(4*d + 7*e)*x^15 + 42/13*(5*d + 6*e)*x^13 + 42/11*(6*d + 5*e)*x^11 + 10/3*(7*d + 4*e)*x^9 + 15/7*(8*d + 3*e)*x^7 + (9*d + 2*e)*x^5 + 1/3*(10*d + e)*x^3 + d*x","A",0
62,1,130,0,0.477958," ","integrate((e*x^2+d)*(x^4+2*x^2+1)^5/x,x, algorithm=""maxima"")","\frac{1}{22} \, e x^{22} + \frac{1}{20} \, {\left(d + 10 \, e\right)} x^{20} + \frac{5}{18} \, {\left(2 \, d + 9 \, e\right)} x^{18} + \frac{15}{16} \, {\left(3 \, d + 8 \, e\right)} x^{16} + \frac{15}{7} \, {\left(4 \, d + 7 \, e\right)} x^{14} + \frac{7}{2} \, {\left(5 \, d + 6 \, e\right)} x^{12} + \frac{21}{5} \, {\left(6 \, d + 5 \, e\right)} x^{10} + \frac{15}{4} \, {\left(7 \, d + 4 \, e\right)} x^{8} + \frac{5}{2} \, {\left(8 \, d + 3 \, e\right)} x^{6} + \frac{5}{4} \, {\left(9 \, d + 2 \, e\right)} x^{4} + \frac{1}{2} \, {\left(10 \, d + e\right)} x^{2} + \frac{1}{2} \, d \log\left(x^{2}\right)"," ",0,"1/22*e*x^22 + 1/20*(d + 10*e)*x^20 + 5/18*(2*d + 9*e)*x^18 + 15/16*(3*d + 8*e)*x^16 + 15/7*(4*d + 7*e)*x^14 + 7/2*(5*d + 6*e)*x^12 + 21/5*(6*d + 5*e)*x^10 + 15/4*(7*d + 4*e)*x^8 + 5/2*(8*d + 3*e)*x^6 + 5/4*(9*d + 2*e)*x^4 + 1/2*(10*d + e)*x^2 + 1/2*d*log(x^2)","A",0
63,1,125,0,0.503825," ","integrate((e*x^2+d)*(x^4+2*x^2+1)^5/x^2,x, algorithm=""maxima"")","\frac{1}{21} \, e x^{21} + \frac{1}{19} \, {\left(d + 10 \, e\right)} x^{19} + \frac{5}{17} \, {\left(2 \, d + 9 \, e\right)} x^{17} + {\left(3 \, d + 8 \, e\right)} x^{15} + \frac{30}{13} \, {\left(4 \, d + 7 \, e\right)} x^{13} + \frac{42}{11} \, {\left(5 \, d + 6 \, e\right)} x^{11} + \frac{14}{3} \, {\left(6 \, d + 5 \, e\right)} x^{9} + \frac{30}{7} \, {\left(7 \, d + 4 \, e\right)} x^{7} + 3 \, {\left(8 \, d + 3 \, e\right)} x^{5} + \frac{5}{3} \, {\left(9 \, d + 2 \, e\right)} x^{3} + {\left(10 \, d + e\right)} x - \frac{d}{x}"," ",0,"1/21*e*x^21 + 1/19*(d + 10*e)*x^19 + 5/17*(2*d + 9*e)*x^17 + (3*d + 8*e)*x^15 + 30/13*(4*d + 7*e)*x^13 + 42/11*(5*d + 6*e)*x^11 + 14/3*(6*d + 5*e)*x^9 + 30/7*(7*d + 4*e)*x^7 + 3*(8*d + 3*e)*x^5 + 5/3*(9*d + 2*e)*x^3 + (10*d + e)*x - d/x","A",0
64,1,130,0,0.698300," ","integrate((e*x^2+d)*(x^4+2*x^2+1)^5/x^3,x, algorithm=""maxima"")","\frac{1}{20} \, e x^{20} + \frac{1}{18} \, {\left(d + 10 \, e\right)} x^{18} + \frac{5}{16} \, {\left(2 \, d + 9 \, e\right)} x^{16} + \frac{15}{14} \, {\left(3 \, d + 8 \, e\right)} x^{14} + \frac{5}{2} \, {\left(4 \, d + 7 \, e\right)} x^{12} + \frac{21}{5} \, {\left(5 \, d + 6 \, e\right)} x^{10} + \frac{21}{4} \, {\left(6 \, d + 5 \, e\right)} x^{8} + 5 \, {\left(7 \, d + 4 \, e\right)} x^{6} + \frac{15}{4} \, {\left(8 \, d + 3 \, e\right)} x^{4} + \frac{5}{2} \, {\left(9 \, d + 2 \, e\right)} x^{2} + \frac{1}{2} \, {\left(10 \, d + e\right)} \log\left(x^{2}\right) - \frac{d}{2 \, x^{2}}"," ",0,"1/20*e*x^20 + 1/18*(d + 10*e)*x^18 + 5/16*(2*d + 9*e)*x^16 + 15/14*(3*d + 8*e)*x^14 + 5/2*(4*d + 7*e)*x^12 + 21/5*(5*d + 6*e)*x^10 + 21/4*(6*d + 5*e)*x^8 + 5*(7*d + 4*e)*x^6 + 15/4*(8*d + 3*e)*x^4 + 5/2*(9*d + 2*e)*x^2 + 1/2*(10*d + e)*log(x^2) - 1/2*d/x^2","A",0
65,1,192,0,0.971951," ","integrate((f*x)^m*(x^2+1)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{f^{m} x^{23} x^{m}}{m + 23} + \frac{11 \, f^{m} x^{21} x^{m}}{m + 21} + \frac{55 \, f^{m} x^{19} x^{m}}{m + 19} + \frac{165 \, f^{m} x^{17} x^{m}}{m + 17} + \frac{330 \, f^{m} x^{15} x^{m}}{m + 15} + \frac{462 \, f^{m} x^{13} x^{m}}{m + 13} + \frac{462 \, f^{m} x^{11} x^{m}}{m + 11} + \frac{330 \, f^{m} x^{9} x^{m}}{m + 9} + \frac{165 \, f^{m} x^{7} x^{m}}{m + 7} + \frac{55 \, f^{m} x^{5} x^{m}}{m + 5} + \frac{11 \, f^{m} x^{3} x^{m}}{m + 3} + \frac{\left(f x\right)^{m + 1}}{f {\left(m + 1\right)}}"," ",0,"f^m*x^23*x^m/(m + 23) + 11*f^m*x^21*x^m/(m + 21) + 55*f^m*x^19*x^m/(m + 19) + 165*f^m*x^17*x^m/(m + 17) + 330*f^m*x^15*x^m/(m + 15) + 462*f^m*x^13*x^m/(m + 13) + 462*f^m*x^11*x^m/(m + 11) + 330*f^m*x^9*x^m/(m + 9) + 165*f^m*x^7*x^m/(m + 7) + 55*f^m*x^5*x^m/(m + 5) + 11*f^m*x^3*x^m/(m + 3) + (f*x)^(m + 1)/(f*(m + 1))","A",0
66,1,61,0,0.637012," ","integrate(x^5*(x^2+1)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{1}{28} \, x^{28} + \frac{11}{26} \, x^{26} + \frac{55}{24} \, x^{24} + \frac{15}{2} \, x^{22} + \frac{33}{2} \, x^{20} + \frac{77}{3} \, x^{18} + \frac{231}{8} \, x^{16} + \frac{165}{7} \, x^{14} + \frac{55}{4} \, x^{12} + \frac{11}{2} \, x^{10} + \frac{11}{8} \, x^{8} + \frac{1}{6} \, x^{6}"," ",0,"1/28*x^28 + 11/26*x^26 + 55/24*x^24 + 15/2*x^22 + 33/2*x^20 + 77/3*x^18 + 231/8*x^16 + 165/7*x^14 + 55/4*x^12 + 11/2*x^10 + 11/8*x^8 + 1/6*x^6","B",0
67,1,61,0,0.762075," ","integrate(x^4*(x^2+1)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{1}{27} \, x^{27} + \frac{11}{25} \, x^{25} + \frac{55}{23} \, x^{23} + \frac{55}{7} \, x^{21} + \frac{330}{19} \, x^{19} + \frac{462}{17} \, x^{17} + \frac{154}{5} \, x^{15} + \frac{330}{13} \, x^{13} + 15 \, x^{11} + \frac{55}{9} \, x^{9} + \frac{11}{7} \, x^{7} + \frac{1}{5} \, x^{5}"," ",0,"1/27*x^27 + 11/25*x^25 + 55/23*x^23 + 55/7*x^21 + 330/19*x^19 + 462/17*x^17 + 154/5*x^15 + 330/13*x^13 + 15*x^11 + 55/9*x^9 + 11/7*x^7 + 1/5*x^5","A",0
68,1,61,0,0.563024," ","integrate(x^3*(x^2+1)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{1}{26} \, x^{26} + \frac{11}{24} \, x^{24} + \frac{5}{2} \, x^{22} + \frac{33}{4} \, x^{20} + \frac{55}{3} \, x^{18} + \frac{231}{8} \, x^{16} + 33 \, x^{14} + \frac{55}{2} \, x^{12} + \frac{33}{2} \, x^{10} + \frac{55}{8} \, x^{8} + \frac{11}{6} \, x^{6} + \frac{1}{4} \, x^{4}"," ",0,"1/26*x^26 + 11/24*x^24 + 5/2*x^22 + 33/4*x^20 + 55/3*x^18 + 231/8*x^16 + 33*x^14 + 55/2*x^12 + 33/2*x^10 + 55/8*x^8 + 11/6*x^6 + 1/4*x^4","B",0
69,1,61,0,0.879860," ","integrate(x^2*(x^2+1)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{1}{25} \, x^{25} + \frac{11}{23} \, x^{23} + \frac{55}{21} \, x^{21} + \frac{165}{19} \, x^{19} + \frac{330}{17} \, x^{17} + \frac{154}{5} \, x^{15} + \frac{462}{13} \, x^{13} + 30 \, x^{11} + \frac{55}{3} \, x^{9} + \frac{55}{7} \, x^{7} + \frac{11}{5} \, x^{5} + \frac{1}{3} \, x^{3}"," ",0,"1/25*x^25 + 11/23*x^23 + 55/21*x^21 + 165/19*x^19 + 330/17*x^17 + 154/5*x^15 + 462/13*x^13 + 30*x^11 + 55/3*x^9 + 55/7*x^7 + 11/5*x^5 + 1/3*x^3","A",0
70,1,61,0,0.781773," ","integrate(x*(x^2+1)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{1}{24} \, x^{24} + \frac{1}{2} \, x^{22} + \frac{11}{4} \, x^{20} + \frac{55}{6} \, x^{18} + \frac{165}{8} \, x^{16} + 33 \, x^{14} + \frac{77}{2} \, x^{12} + 33 \, x^{10} + \frac{165}{8} \, x^{8} + \frac{55}{6} \, x^{6} + \frac{11}{4} \, x^{4} + \frac{1}{2} \, x^{2}"," ",0,"1/24*x^24 + 1/2*x^22 + 11/4*x^20 + 55/6*x^18 + 165/8*x^16 + 33*x^14 + 77/2*x^12 + 33*x^10 + 165/8*x^8 + 55/6*x^6 + 11/4*x^4 + 1/2*x^2","B",0
71,1,57,0,0.977489," ","integrate((x^2+1)*(x^4+2*x^2+1)^5,x, algorithm=""maxima"")","\frac{1}{23} \, x^{23} + \frac{11}{21} \, x^{21} + \frac{55}{19} \, x^{19} + \frac{165}{17} \, x^{17} + 22 \, x^{15} + \frac{462}{13} \, x^{13} + 42 \, x^{11} + \frac{110}{3} \, x^{9} + \frac{165}{7} \, x^{7} + 11 \, x^{5} + \frac{11}{3} \, x^{3} + x"," ",0,"1/23*x^23 + 11/21*x^21 + 55/19*x^19 + 165/17*x^17 + 22*x^15 + 462/13*x^13 + 42*x^11 + 110/3*x^9 + 165/7*x^7 + 11*x^5 + 11/3*x^3 + x","A",0
72,1,62,0,0.821345," ","integrate((x^2+1)*(x^4+2*x^2+1)^5/x,x, algorithm=""maxima"")","\frac{1}{22} \, x^{22} + \frac{11}{20} \, x^{20} + \frac{55}{18} \, x^{18} + \frac{165}{16} \, x^{16} + \frac{165}{7} \, x^{14} + \frac{77}{2} \, x^{12} + \frac{231}{5} \, x^{10} + \frac{165}{4} \, x^{8} + \frac{55}{2} \, x^{6} + \frac{55}{4} \, x^{4} + \frac{11}{2} \, x^{2} + \frac{1}{2} \, \log\left(x^{2}\right)"," ",0,"1/22*x^22 + 11/20*x^20 + 55/18*x^18 + 165/16*x^16 + 165/7*x^14 + 77/2*x^12 + 231/5*x^10 + 165/4*x^8 + 55/2*x^6 + 55/4*x^4 + 11/2*x^2 + 1/2*log(x^2)","A",0
73,1,59,0,0.825673," ","integrate((x^2+1)*(x^4+2*x^2+1)^5/x^2,x, algorithm=""maxima"")","\frac{1}{21} \, x^{21} + \frac{11}{19} \, x^{19} + \frac{55}{17} \, x^{17} + 11 \, x^{15} + \frac{330}{13} \, x^{13} + 42 \, x^{11} + \frac{154}{3} \, x^{9} + \frac{330}{7} \, x^{7} + 33 \, x^{5} + \frac{55}{3} \, x^{3} + 11 \, x - \frac{1}{x}"," ",0,"1/21*x^21 + 11/19*x^19 + 55/17*x^17 + 11*x^15 + 330/13*x^13 + 42*x^11 + 154/3*x^9 + 330/7*x^7 + 33*x^5 + 55/3*x^3 + 11*x - 1/x","A",0
74,1,62,0,0.735774," ","integrate((x^2+1)*(x^4+2*x^2+1)^5/x^3,x, algorithm=""maxima"")","\frac{1}{20} \, x^{20} + \frac{11}{18} \, x^{18} + \frac{55}{16} \, x^{16} + \frac{165}{14} \, x^{14} + \frac{55}{2} \, x^{12} + \frac{231}{5} \, x^{10} + \frac{231}{4} \, x^{8} + 55 \, x^{6} + \frac{165}{4} \, x^{4} + \frac{55}{2} \, x^{2} - \frac{1}{2 \, x^{2}} + \frac{11}{2} \, \log\left(x^{2}\right)"," ",0,"1/20*x^20 + 11/18*x^18 + 55/16*x^16 + 165/14*x^14 + 55/2*x^12 + 231/5*x^10 + 231/4*x^8 + 55*x^6 + 165/4*x^4 + 55/2*x^2 - 1/2/x^2 + 11/2*log(x^2)","A",0
75,1,54,0,1.518546," ","integrate(x^2*(e*x^2+d)/((b*x^2+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{{\left(a b d - a^{2} e\right)} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}} + \frac{b e x^{3} + 3 \, {\left(b d - a e\right)} x}{3 \, b^{2}}"," ",0,"-(a*b*d - a^2*e)*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^2) + 1/3*(b*e*x^3 + 3*(b*d - a*e)*x)/b^2","A",0
76,1,31,0,0.779381," ","integrate(x*(e*x^2+d)/((b*x^2+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{e x^{2}}{2 \, b} + \frac{{\left(b d - a e\right)} \log\left(b x^{2} + a\right)}{2 \, b^{2}}"," ",0,"1/2*e*x^2/b + 1/2*(b*d - a*e)*log(b*x^2 + a)/b^2","A",0
77,1,33,0,1.506787," ","integrate((e*x^2+d)/((b*x^2+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{e x}{b} + \frac{{\left(b d - a e\right)} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} b}"," ",0,"e*x/b + (b*d - a*e)*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b)","A",0
78,1,35,0,0.733661," ","integrate((e*x^2+d)/x/((b*x^2+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{d \log\left(x^{2}\right)}{2 \, a} - \frac{{\left(b d - a e\right)} \log\left(b x^{2} + a\right)}{2 \, a b}"," ",0,"1/2*d*log(x^2)/a - 1/2*(b*d - a*e)*log(b*x^2 + a)/(a*b)","A",0
79,1,37,0,1.216113," ","integrate((e*x^2+d)/x^2/((b*x^2+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{{\left(b d - a e\right)} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} a} - \frac{d}{a x}"," ",0,"-(b*d - a*e)*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a) - d/(a*x)","A",0
80,1,48,0,0.783903," ","integrate((e*x^2+d)/x^3/((b*x^2+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b d - a e\right)} \log\left(b x^{2} + a\right)}{2 \, a^{2}} - \frac{{\left(b d - a e\right)} \log\left(x^{2}\right)}{2 \, a^{2}} - \frac{d}{2 \, a x^{2}}"," ",0,"1/2*(b*d - a*e)*log(b*x^2 + a)/a^2 - 1/2*(b*d - a*e)*log(x^2)/a^2 - 1/2*d/(a*x^2)","A",0
81,1,125,0,1.488601," ","integrate(x^2*(e*x^2+d)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{8} \, e {\left(\frac{5 \, b x^{3} + 3 \, a x}{b^{4} x^{4} + 2 \, a b^{3} x^{2} + a^{2} b^{2}} - \frac{3 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} b^{2}}\right)} + \frac{1}{8} \, d {\left(\frac{b x^{3} - a x}{a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{2} + a^{3} b} + \frac{\arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} a b}\right)}"," ",0,"-1/8*e*((5*b*x^3 + 3*a*x)/(b^4*x^4 + 2*a*b^3*x^2 + a^2*b^2) - 3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^2)) + 1/8*d*((b*x^3 - a*x)/(a*b^3*x^4 + 2*a^2*b^2*x^2 + a^3*b) + arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a*b))","A",0
82,1,65,0,0.636443," ","integrate(x*(e*x^2+d)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{{\left(2 \, b x^{2} + a\right)} e}{4 \, {\left(b^{4} x^{4} + 2 \, a b^{3} x^{2} + a^{2} b^{2}\right)}} - \frac{d}{4 \, {\left(b^{3} x^{4} + 2 \, a b^{2} x^{2} + a^{2} b\right)}}"," ",0,"-1/4*(2*b*x^2 + a)*e/(b^4*x^4 + 2*a*b^3*x^2 + a^2*b^2) - 1/4*d/(b^3*x^4 + 2*a*b^2*x^2 + a^2*b)","A",0
83,1,124,0,1.669881," ","integrate((e*x^2+d)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{8} \, d {\left(\frac{3 \, b x^{3} + 5 \, a x}{a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}} + \frac{3 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}}\right)} + \frac{1}{8} \, e {\left(\frac{b x^{3} - a x}{a b^{3} x^{4} + 2 \, a^{2} b^{2} x^{2} + a^{3} b} + \frac{\arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} a b}\right)}"," ",0,"1/8*d*((3*b*x^3 + 5*a*x)/(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4) + 3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^2)) + 1/8*e*((b*x^3 - a*x)/(a*b^3*x^4 + 2*a^2*b^2*x^2 + a^3*b) + arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a*b))","A",0
84,1,88,0,0.888111," ","integrate((e*x^2+d)/x/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, d {\left(\frac{2 \, b x^{2} + 3 \, a}{a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}} - \frac{2 \, \log\left(b x^{2} + a\right)}{a^{3}} + \frac{4 \, \log\left(x\right)}{a^{3}}\right)} - \frac{e}{4 \, {\left(b^{3} x^{4} + 2 \, a b^{2} x^{2} + a^{2} b\right)}}"," ",0,"1/4*d*((2*b*x^2 + 3*a)/(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4) - 2*log(b*x^2 + a)/a^3 + 4*log(x)/a^3) - 1/4*e/(b^3*x^4 + 2*a*b^2*x^2 + a^2*b)","A",0
85,1,134,0,1.402943," ","integrate((e*x^2+d)/x^2/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{8} \, d {\left(\frac{15 \, b^{2} x^{4} + 25 \, a b x^{2} + 8 \, a^{2}}{a^{3} b^{2} x^{5} + 2 \, a^{4} b x^{3} + a^{5} x} + \frac{15 \, b \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} a^{3}}\right)} + \frac{1}{8} \, e {\left(\frac{3 \, b x^{3} + 5 \, a x}{a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}} + \frac{3 \, \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} a^{2}}\right)}"," ",0,"-1/8*d*((15*b^2*x^4 + 25*a*b*x^2 + 8*a^2)/(a^3*b^2*x^5 + 2*a^4*b*x^3 + a^5*x) + 15*b*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^3)) + 1/8*e*((3*b*x^3 + 5*a*x)/(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4) + 3*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^2))","A",0
86,1,138,0,0.841185," ","integrate((e*x^2+d)/x^3/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{4} \, d {\left(\frac{6 \, b^{2} x^{4} + 9 \, a b x^{2} + 2 \, a^{2}}{a^{3} b^{2} x^{6} + 2 \, a^{4} b x^{4} + a^{5} x^{2}} - \frac{6 \, b \log\left(b x^{2} + a\right)}{a^{4}} + \frac{12 \, b \log\left(x\right)}{a^{4}}\right)} + \frac{1}{4} \, e {\left(\frac{2 \, b x^{2} + 3 \, a}{a^{2} b^{2} x^{4} + 2 \, a^{3} b x^{2} + a^{4}} - \frac{2 \, \log\left(b x^{2} + a\right)}{a^{3}} + \frac{4 \, \log\left(x\right)}{a^{3}}\right)}"," ",0,"-1/4*d*((6*b^2*x^4 + 9*a*b*x^2 + 2*a^2)/(a^3*b^2*x^6 + 2*a^4*b*x^4 + a^5*x^2) - 6*b*log(b*x^2 + a)/a^4 + 12*b*log(x)/a^4) + 1/4*e*((2*b*x^2 + 3*a)/(a^2*b^2*x^4 + 2*a^3*b*x^2 + a^4) - 2*log(b*x^2 + a)/a^3 + 4*log(x)/a^3)","A",0
87,1,491,0,0.815489," ","integrate((f*x)^m*(e*x^2+d)*(b^2*x^4+2*a*b*x^2+a^2)^(5/2),x, algorithm=""maxima"")","\frac{{\left({\left(m^{5} + 25 \, m^{4} + 230 \, m^{3} + 950 \, m^{2} + 1689 \, m + 945\right)} b^{5} f^{m} x^{11} + 5 \, {\left(m^{5} + 27 \, m^{4} + 262 \, m^{3} + 1122 \, m^{2} + 2041 \, m + 1155\right)} a b^{4} f^{m} x^{9} + 10 \, {\left(m^{5} + 29 \, m^{4} + 302 \, m^{3} + 1366 \, m^{2} + 2577 \, m + 1485\right)} a^{2} b^{3} f^{m} x^{7} + 10 \, {\left(m^{5} + 31 \, m^{4} + 350 \, m^{3} + 1730 \, m^{2} + 3489 \, m + 2079\right)} a^{3} b^{2} f^{m} x^{5} + 5 \, {\left(m^{5} + 33 \, m^{4} + 406 \, m^{3} + 2262 \, m^{2} + 5353 \, m + 3465\right)} a^{4} b f^{m} x^{3} + {\left(m^{5} + 35 \, m^{4} + 470 \, m^{3} + 3010 \, m^{2} + 9129 \, m + 10395\right)} a^{5} f^{m} x\right)} d x^{m}}{m^{6} + 36 \, m^{5} + 505 \, m^{4} + 3480 \, m^{3} + 12139 \, m^{2} + 19524 \, m + 10395} + \frac{{\left({\left(m^{5} + 35 \, m^{4} + 470 \, m^{3} + 3010 \, m^{2} + 9129 \, m + 10395\right)} b^{5} f^{m} x^{13} + 5 \, {\left(m^{5} + 37 \, m^{4} + 518 \, m^{3} + 3422 \, m^{2} + 10617 \, m + 12285\right)} a b^{4} f^{m} x^{11} + 10 \, {\left(m^{5} + 39 \, m^{4} + 574 \, m^{3} + 3954 \, m^{2} + 12673 \, m + 15015\right)} a^{2} b^{3} f^{m} x^{9} + 10 \, {\left(m^{5} + 41 \, m^{4} + 638 \, m^{3} + 4654 \, m^{2} + 15681 \, m + 19305\right)} a^{3} b^{2} f^{m} x^{7} + 5 \, {\left(m^{5} + 43 \, m^{4} + 710 \, m^{3} + 5570 \, m^{2} + 20409 \, m + 27027\right)} a^{4} b f^{m} x^{5} + {\left(m^{5} + 45 \, m^{4} + 790 \, m^{3} + 6750 \, m^{2} + 28009 \, m + 45045\right)} a^{5} f^{m} x^{3}\right)} e x^{m}}{m^{6} + 48 \, m^{5} + 925 \, m^{4} + 9120 \, m^{3} + 48259 \, m^{2} + 129072 \, m + 135135}"," ",0,"((m^5 + 25*m^4 + 230*m^3 + 950*m^2 + 1689*m + 945)*b^5*f^m*x^11 + 5*(m^5 + 27*m^4 + 262*m^3 + 1122*m^2 + 2041*m + 1155)*a*b^4*f^m*x^9 + 10*(m^5 + 29*m^4 + 302*m^3 + 1366*m^2 + 2577*m + 1485)*a^2*b^3*f^m*x^7 + 10*(m^5 + 31*m^4 + 350*m^3 + 1730*m^2 + 3489*m + 2079)*a^3*b^2*f^m*x^5 + 5*(m^5 + 33*m^4 + 406*m^3 + 2262*m^2 + 5353*m + 3465)*a^4*b*f^m*x^3 + (m^5 + 35*m^4 + 470*m^3 + 3010*m^2 + 9129*m + 10395)*a^5*f^m*x)*d*x^m/(m^6 + 36*m^5 + 505*m^4 + 3480*m^3 + 12139*m^2 + 19524*m + 10395) + ((m^5 + 35*m^4 + 470*m^3 + 3010*m^2 + 9129*m + 10395)*b^5*f^m*x^13 + 5*(m^5 + 37*m^4 + 518*m^3 + 3422*m^2 + 10617*m + 12285)*a*b^4*f^m*x^11 + 10*(m^5 + 39*m^4 + 574*m^3 + 3954*m^2 + 12673*m + 15015)*a^2*b^3*f^m*x^9 + 10*(m^5 + 41*m^4 + 638*m^3 + 4654*m^2 + 15681*m + 19305)*a^3*b^2*f^m*x^7 + 5*(m^5 + 43*m^4 + 710*m^3 + 5570*m^2 + 20409*m + 27027)*a^4*b*f^m*x^5 + (m^5 + 45*m^4 + 790*m^3 + 6750*m^2 + 28009*m + 45045)*a^5*f^m*x^3)*e*x^m/(m^6 + 48*m^5 + 925*m^4 + 9120*m^3 + 48259*m^2 + 129072*m + 135135)","A",0
88,1,243,0,0.964335," ","integrate((f*x)^m*(e*x^2+d)*(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left({\left(m^{3} + 9 \, m^{2} + 23 \, m + 15\right)} b^{3} f^{m} x^{7} + 3 \, {\left(m^{3} + 11 \, m^{2} + 31 \, m + 21\right)} a b^{2} f^{m} x^{5} + 3 \, {\left(m^{3} + 13 \, m^{2} + 47 \, m + 35\right)} a^{2} b f^{m} x^{3} + {\left(m^{3} + 15 \, m^{2} + 71 \, m + 105\right)} a^{3} f^{m} x\right)} d x^{m}}{m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105} + \frac{{\left({\left(m^{3} + 15 \, m^{2} + 71 \, m + 105\right)} b^{3} f^{m} x^{9} + 3 \, {\left(m^{3} + 17 \, m^{2} + 87 \, m + 135\right)} a b^{2} f^{m} x^{7} + 3 \, {\left(m^{3} + 19 \, m^{2} + 111 \, m + 189\right)} a^{2} b f^{m} x^{5} + {\left(m^{3} + 21 \, m^{2} + 143 \, m + 315\right)} a^{3} f^{m} x^{3}\right)} e x^{m}}{m^{4} + 24 \, m^{3} + 206 \, m^{2} + 744 \, m + 945}"," ",0,"((m^3 + 9*m^2 + 23*m + 15)*b^3*f^m*x^7 + 3*(m^3 + 11*m^2 + 31*m + 21)*a*b^2*f^m*x^5 + 3*(m^3 + 13*m^2 + 47*m + 35)*a^2*b*f^m*x^3 + (m^3 + 15*m^2 + 71*m + 105)*a^3*f^m*x)*d*x^m/(m^4 + 16*m^3 + 86*m^2 + 176*m + 105) + ((m^3 + 15*m^2 + 71*m + 105)*b^3*f^m*x^9 + 3*(m^3 + 17*m^2 + 87*m + 135)*a*b^2*f^m*x^7 + 3*(m^3 + 19*m^2 + 111*m + 189)*a^2*b*f^m*x^5 + (m^3 + 21*m^2 + 143*m + 315)*a^3*f^m*x^3)*e*x^m/(m^4 + 24*m^3 + 206*m^2 + 744*m + 945)","A",0
89,1,75,0,0.810704," ","integrate((f*x)^m*(e*x^2+d)*(b^2*x^4+2*a*b*x^2+a^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(b f^{m} {\left(m + 1\right)} x^{3} + a f^{m} {\left(m + 3\right)} x\right)} d x^{m}}{m^{2} + 4 \, m + 3} + \frac{{\left(b f^{m} {\left(m + 3\right)} x^{5} + a f^{m} {\left(m + 5\right)} x^{3}\right)} e x^{m}}{m^{2} + 8 \, m + 15}"," ",0,"(b*f^m*(m + 1)*x^3 + a*f^m*(m + 3)*x)*d*x^m/(m^2 + 4*m + 3) + (b*f^m*(m + 3)*x^5 + a*f^m*(m + 5)*x^3)*e*x^m/(m^2 + 8*m + 15)","A",0
90,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)/(b^2*x^4+2*a*b*x^2+a^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)} \left(f x\right)^{m}}{\sqrt{b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}}\,{d x}"," ",0,"integrate((e*x^2 + d)*(f*x)^m/sqrt(b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
91,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)/(b^2*x^4+2*a*b*x^2+a^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)} \left(f x\right)^{m}}{{\left(b^{2} x^{4} + 2 \, a b x^{2} + a^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x^2 + d)*(f*x)^m/(b^2*x^4 + 2*a*b*x^2 + a^2)^(3/2), x)","F",0
92,1,86,0,0.721600," ","integrate(x*(b*x^2+a)*(b^2*x^4+2*a*b*x^2+a^2)^p,x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)} {\left(b x^{2} + a\right)}^{2 \, p} a}{2 \, b {\left(2 \, p + 1\right)}} + \frac{{\left(b^{2} {\left(2 \, p + 1\right)} x^{4} + 2 \, a b p x^{2} - a^{2}\right)} {\left(b x^{2} + a\right)}^{2 \, p}}{4 \, {\left(2 \, p^{2} + 3 \, p + 1\right)} b}"," ",0,"1/2*(b*x^2 + a)*(b*x^2 + a)^(2*p)*a/(b*(2*p + 1)) + 1/4*(b^2*(2*p + 1)*x^4 + 2*a*b*p*x^2 - a^2)*(b*x^2 + a)^(2*p)/((2*p^2 + 3*p + 1)*b)","B",0
93,1,135,0,0.737157," ","integrate(x^3*(b*x^2+a)*(b^2*x^4+2*a*b*x^2+a^2)^p,x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(2 \, p + 1\right)} x^{4} + 2 \, a b p x^{2} - a^{2}\right)} {\left(b x^{2} + a\right)}^{2 \, p} a}{4 \, {\left(2 \, p^{2} + 3 \, p + 1\right)} b^{2}} + \frac{{\left({\left(2 \, p^{2} + 3 \, p + 1\right)} b^{3} x^{6} + {\left(2 \, p^{2} + p\right)} a b^{2} x^{4} - 2 \, a^{2} b p x^{2} + a^{3}\right)} {\left(b x^{2} + a\right)}^{2 \, p}}{2 \, {\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} b^{2}}"," ",0,"1/4*(b^2*(2*p + 1)*x^4 + 2*a*b*p*x^2 - a^2)*(b*x^2 + a)^(2*p)*a/((2*p^2 + 3*p + 1)*b^2) + 1/2*((2*p^2 + 3*p + 1)*b^3*x^6 + (2*p^2 + p)*a*b^2*x^4 - 2*a^2*b*p*x^2 + a^3)*(b*x^2 + a)^(2*p)/((4*p^3 + 12*p^2 + 11*p + 3)*b^2)","A",0
94,1,196,0,0.698432," ","integrate(x^5*(b*x^2+a)*(b^2*x^4+2*a*b*x^2+a^2)^p,x, algorithm=""maxima"")","\frac{{\left({\left(2 \, p^{2} + 3 \, p + 1\right)} b^{3} x^{6} + {\left(2 \, p^{2} + p\right)} a b^{2} x^{4} - 2 \, a^{2} b p x^{2} + a^{3}\right)} {\left(b x^{2} + a\right)}^{2 \, p} a}{2 \, {\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} b^{3}} + \frac{{\left({\left(4 \, p^{3} + 12 \, p^{2} + 11 \, p + 3\right)} b^{4} x^{8} + 2 \, {\left(2 \, p^{3} + 3 \, p^{2} + p\right)} a b^{3} x^{6} - 3 \, {\left(2 \, p^{2} + p\right)} a^{2} b^{2} x^{4} + 6 \, a^{3} b p x^{2} - 3 \, a^{4}\right)} {\left(b x^{2} + a\right)}^{2 \, p}}{4 \, {\left(4 \, p^{4} + 20 \, p^{3} + 35 \, p^{2} + 25 \, p + 6\right)} b^{3}}"," ",0,"1/2*((2*p^2 + 3*p + 1)*b^3*x^6 + (2*p^2 + p)*a*b^2*x^4 - 2*a^2*b*p*x^2 + a^3)*(b*x^2 + a)^(2*p)*a/((4*p^3 + 12*p^2 + 11*p + 3)*b^3) + 1/4*((4*p^3 + 12*p^2 + 11*p + 3)*b^4*x^8 + 2*(2*p^3 + 3*p^2 + p)*a*b^3*x^6 - 3*(2*p^2 + p)*a^2*b^2*x^4 + 6*a^3*b*p*x^2 - 3*a^4)*(b*x^2 + a)^(2*p)/((4*p^4 + 20*p^3 + 35*p^2 + 25*p + 6)*b^3)","A",0
95,1,166,0,0.604284," ","integrate(x^3*(B*x^2+A)*(c*x^4+b*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{18} \, B c^{3} x^{18} + \frac{1}{16} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{16} + \frac{3}{14} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{14} + \frac{1}{12} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{12} + \frac{1}{10} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{10} + \frac{3}{8} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{8} + \frac{1}{4} \, A a^{3} x^{4} + \frac{1}{6} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{6}"," ",0,"1/18*B*c^3*x^18 + 1/16*(3*B*b*c^2 + A*c^3)*x^16 + 3/14*(B*b^2*c + (B*a + A*b)*c^2)*x^14 + 1/12*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^12 + 1/10*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^10 + 3/8*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^8 + 1/4*A*a^3*x^4 + 1/6*(B*a^3 + 3*A*a^2*b)*x^6","A",0
96,1,166,0,0.725715," ","integrate(x^2*(B*x^2+A)*(c*x^4+b*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{17} \, B c^{3} x^{17} + \frac{1}{15} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{15} + \frac{3}{13} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{13} + \frac{1}{11} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{11} + \frac{1}{9} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{9} + \frac{3}{7} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{7} + \frac{1}{3} \, A a^{3} x^{3} + \frac{1}{5} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{5}"," ",0,"1/17*B*c^3*x^17 + 1/15*(3*B*b*c^2 + A*c^3)*x^15 + 3/13*(B*b^2*c + (B*a + A*b)*c^2)*x^13 + 1/11*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^11 + 1/9*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^9 + 3/7*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^7 + 1/3*A*a^3*x^3 + 1/5*(B*a^3 + 3*A*a^2*b)*x^5","A",0
97,1,166,0,0.767699," ","integrate(x*(B*x^2+A)*(c*x^4+b*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{16} \, B c^{3} x^{16} + \frac{1}{14} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{14} + \frac{1}{4} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{12} + \frac{1}{10} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{10} + \frac{1}{8} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{8} + \frac{1}{2} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{6} + \frac{1}{2} \, A a^{3} x^{2} + \frac{1}{4} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{4}"," ",0,"1/16*B*c^3*x^16 + 1/14*(3*B*b*c^2 + A*c^3)*x^14 + 1/4*(B*b^2*c + (B*a + A*b)*c^2)*x^12 + 1/10*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^10 + 1/8*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^8 + 1/2*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^6 + 1/2*A*a^3*x^2 + 1/4*(B*a^3 + 3*A*a^2*b)*x^4","A",0
98,1,163,0,0.730324," ","integrate((B*x^2+A)*(c*x^4+b*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{15} \, B c^{3} x^{15} + \frac{1}{13} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{13} + \frac{3}{11} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{11} + \frac{1}{9} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{9} + \frac{1}{7} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{7} + \frac{3}{5} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{5} + A a^{3} x + \frac{1}{3} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{3}"," ",0,"1/15*B*c^3*x^15 + 1/13*(3*B*b*c^2 + A*c^3)*x^13 + 3/11*(B*b^2*c + (B*a + A*b)*c^2)*x^11 + 1/9*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^9 + 1/7*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^7 + 3/5*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^5 + A*a^3*x + 1/3*(B*a^3 + 3*A*a^2*b)*x^3","A",0
99,1,167,0,0.786604," ","integrate((B*x^2+A)*(c*x^4+b*x^2+a)^3/x,x, algorithm=""maxima"")","\frac{1}{14} \, B c^{3} x^{14} + \frac{1}{12} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{12} + \frac{3}{10} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{10} + \frac{1}{8} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{8} + \frac{1}{6} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{6} + \frac{3}{4} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{4} + \frac{1}{2} \, A a^{3} \log\left(x^{2}\right) + \frac{1}{2} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{2}"," ",0,"1/14*B*c^3*x^14 + 1/12*(3*B*b*c^2 + A*c^3)*x^12 + 3/10*(B*b^2*c + (B*a + A*b)*c^2)*x^10 + 1/8*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^8 + 1/6*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^6 + 3/4*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^4 + 1/2*A*a^3*log(x^2) + 1/2*(B*a^3 + 3*A*a^2*b)*x^2","A",0
100,1,162,0,0.706960," ","integrate((B*x^2+A)*(c*x^4+b*x^2+a)^3/x^2,x, algorithm=""maxima"")","\frac{1}{13} \, B c^{3} x^{13} + \frac{1}{11} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{11} + \frac{1}{3} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{9} + \frac{1}{7} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{7} + \frac{1}{5} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{5} + {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{3} - \frac{A a^{3}}{x} + {\left(B a^{3} + 3 \, A a^{2} b\right)} x"," ",0,"1/13*B*c^3*x^13 + 1/11*(3*B*b*c^2 + A*c^3)*x^11 + 1/3*(B*b^2*c + (B*a + A*b)*c^2)*x^9 + 1/7*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^7 + 1/5*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^5 + (B*a^2*b + A*a*b^2 + A*a^2*c)*x^3 - A*a^3/x + (B*a^3 + 3*A*a^2*b)*x","A",0
101,1,167,0,0.785256," ","integrate((B*x^2+A)*(c*x^4+b*x^2+a)^3/x^3,x, algorithm=""maxima"")","\frac{1}{12} \, B c^{3} x^{12} + \frac{1}{10} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{10} + \frac{3}{8} \, {\left(B b^{2} c + {\left(B a + A b\right)} c^{2}\right)} x^{8} + \frac{1}{6} \, {\left(B b^{3} + 3 \, A a c^{2} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c\right)} x^{6} + \frac{1}{4} \, {\left(3 \, B a b^{2} + A b^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c\right)} x^{4} + \frac{3}{2} \, {\left(B a^{2} b + A a b^{2} + A a^{2} c\right)} x^{2} - \frac{A a^{3}}{2 \, x^{2}} + \frac{1}{2} \, {\left(B a^{3} + 3 \, A a^{2} b\right)} \log\left(x^{2}\right)"," ",0,"1/12*B*c^3*x^12 + 1/10*(3*B*b*c^2 + A*c^3)*x^10 + 3/8*(B*b^2*c + (B*a + A*b)*c^2)*x^8 + 1/6*(B*b^3 + 3*A*a*c^2 + 3*(2*B*a*b + A*b^2)*c)*x^6 + 1/4*(3*B*a*b^2 + A*b^3 + 3*(B*a^2 + 2*A*a*b)*c)*x^4 + 3/2*(B*a^2*b + A*a*b^2 + A*a^2*c)*x^2 - 1/2*A*a^3/x^2 + 1/2*(B*a^3 + 3*A*a^2*b)*log(x^2)","A",0
102,-2,0,0,0.000000," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2+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
103,-2,0,0,0.000000," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2+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
104,-2,0,0,0.000000," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2+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
105,-2,0,0,0.000000," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2+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
106,-2,0,0,0.000000," ","integrate((B*x^2+A)/x^3/(c*x^4+b*x^2+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
107,0,0,0,0.000000," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{B c x^{3} - 3 \, {\left(B b - A c\right)} x}{3 \, c^{2}} - \frac{-\int \frac{B a b - A a c + {\left(B b^{2} - {\left(B a + A b\right)} c\right)} x^{2}}{c x^{4} + b x^{2} + a}\,{d x}}{c^{2}}"," ",0,"1/3*(B*c*x^3 - 3*(B*b - A*c)*x)/c^2 - integrate(-(B*a*b - A*a*c + (B*b^2 - (B*a + A*b)*c)*x^2)/(c*x^4 + b*x^2 + a), x)/c^2","F",0
108,0,0,0,0.000000," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{B x}{c} + \frac{-\int \frac{{\left(B b - A c\right)} x^{2} + B a}{c x^{4} + b x^{2} + a}\,{d x}}{c}"," ",0,"B*x/c + integrate(-((B*b - A*c)*x^2 + B*a)/(c*x^4 + b*x^2 + a), x)/c","F",0
109,0,0,0,0.000000," ","integrate((B*x^2+A)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((B*x^2 + A)/(c*x^4 + b*x^2 + a), x)","F",0
110,0,0,0,0.000000," ","integrate((B*x^2+A)/x^2/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","-\frac{\frac{{\left({\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)} A - {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 2 \, a b^{4} c + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{2} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + 16 \, a^{2} b^{2} c^{2} + 2 \, a b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} - 32 \, a^{3} c^{3} - 8 \, a^{2} b c^{3} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c - 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b c^{2}\right)} B\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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({\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)} A - {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c + 2 \, a b^{4} c + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{2} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 16 \, a^{2} b^{2} c^{2} - 2 \, a b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} + 32 \, a^{3} c^{3} + 8 \, a^{2} b c^{3} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c + 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b c^{2}\right)} B\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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{A}{a x}"," ",0,"-integrate((A*c*x^2 - B*a + A*b)/(c*x^4 + b*x^2 + a), x)/a - A/(a*x)","F",0
111,0,0,0,0.000000," ","integrate((B*x^2+A)/x^4/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{-\int \frac{{\left(B a - A b\right)} c x^{2} + B a b - A b^{2} + A a c}{c x^{4} + b x^{2} + a}\,{d x}}{a^{2}} - \frac{3 \, {\left(B a - A b\right)} x^{2} + A a}{3 \, a^{2} x^{3}}"," ",0,"integrate(-((B*a - A*b)*c*x^2 + B*a*b - A*b^2 + A*a*c)/(c*x^4 + b*x^2 + a), x)/a^2 - 1/3*(3*(B*a - A*b)*x^2 + A*a)/(a^2*x^3)","F",0
112,-2,0,0,0.000000," ","integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2+a)^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
113,-2,0,0,0.000000," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2+a)^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
114,-2,0,0,0.000000," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2+a)^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
115,-2,0,0,0.000000," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2+a)^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
116,-2,0,0,0.000000," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2+a)^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
117,-2,0,0,0.000000," ","integrate((B*x^2+A)/x^3/(c*x^4+b*x^2+a)^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
118,0,0,0,0.000000," ","integrate(x^6*(B*x^2+A)/(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{{\left(B b^{3} + 2 \, A a c^{2} - {\left(3 \, B a b + A b^{2}\right)} c\right)} x^{3} + {\left(B a b^{2} - {\left(2 \, B a^{2} + A a b\right)} c\right)} x}{2 \, {\left(a b^{2} c^{2} - 4 \, a^{2} c^{3} + {\left(b^{2} c^{3} - 4 \, a c^{4}\right)} x^{4} + {\left(b^{3} c^{2} - 4 \, a b c^{3}\right)} x^{2}\right)}} + \frac{B x}{c^{2}} - \frac{-\frac{{\left({\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 2 \, b^{5} c^{2} + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{3} + 16 \, a b^{3} c^{3} - 2 \, b^{4} c^{3} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{4} - 32 \, a^{2} b c^{4} + 32 \, a b^{2} c^{4} - 96 \, a^{2} c^{5} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 48 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} + 24 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} - 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{4} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} - 8 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{3} - 24 \, {\left(b^{2} - 4 \, a c\right)} a c^{4}\right)} A - {\left(3 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} - 34 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 6 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 6 \, b^{6} c + 128 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 44 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + 3 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} + 68 \, a b^{4} c^{2} - 6 \, b^{5} c^{2} - 160 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} - 80 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 22 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} - 256 \, a^{2} b^{2} c^{3} + 56 \, a b^{3} c^{3} + 40 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 320 \, a^{3} c^{4} - 128 \, a^{2} b c^{4} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} - 28 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c + 64 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 32 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + 6 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c - 44 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} + 6 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} + 80 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3} - 32 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3}\right)} B\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({\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} + 2 \, b^{5} c^{2} + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{3} - 16 \, a b^{3} c^{3} + 2 \, b^{4} c^{3} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{4} + 32 \, a^{2} b c^{4} - 32 \, a b^{2} c^{4} + 96 \, a^{2} c^{5} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c + 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 48 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} - 24 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} + 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{4} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} + 8 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{3} + 24 \, {\left(b^{2} - 4 \, a c\right)} a c^{4}\right)} A - {\left(3 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} - 34 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 6 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c + 6 \, b^{6} c + 128 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 44 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + 3 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 68 \, a b^{4} c^{2} + 6 \, b^{5} c^{2} - 160 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} - 80 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 22 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + 256 \, a^{2} b^{2} c^{3} - 56 \, a b^{3} c^{3} + 40 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} - 320 \, a^{3} c^{4} + 128 \, a^{2} b c^{4} - 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} + 28 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c + 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 64 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} - 32 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} - 6 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c + 44 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} - 6 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} - 80 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3} + 32 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3}\right)} B\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}}{2 \, {\left(b^{2} c^{2} - 4 \, a c^{3}\right)}}"," ",0,"1/2*((B*b^3 + 2*A*a*c^2 - (3*B*a*b + A*b^2)*c)*x^3 + (B*a*b^2 - (2*B*a^2 + A*a*b)*c)*x)/(a*b^2*c^2 - 4*a^2*c^3 + (b^2*c^3 - 4*a*c^4)*x^4 + (b^3*c^2 - 4*a*b*c^3)*x^2) + B*x/c^2 - 1/2*integrate((3*B*a*b^2 + (3*B*b^3 + 6*A*a*c^2 - (13*B*a*b + A*b^2)*c)*x^2 - (10*B*a^2 + A*a*b)*c)/(c*x^4 + b*x^2 + a), x)/(b^2*c^2 - 4*a*c^3)","F",0
119,0,0,0,0.000000," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{{\left(B b^{2} - {\left(2 \, B a + A b\right)} c\right)} x^{3} + {\left(B a b - 2 \, A a c\right)} x}{2 \, {\left({\left(b^{2} c^{2} - 4 \, a c^{3}\right)} x^{4} + a b^{2} c - 4 \, a^{2} c^{2} + {\left(b^{3} c - 4 \, a b c^{2}\right)} x^{2}\right)}} + \frac{-\frac{{\left(2 \, {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 2 \, b^{4} c^{2} + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} + 16 \, a b^{2} c^{3} + 4 \, b^{3} c^{3} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{4} - 32 \, a^{2} c^{4} - 16 \, a b c^{4} - 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 b c^{2} + 4 \, \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} b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{2} - 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{3} - 4 \, {\left(b^{2} - 4 \, a c\right)} b c^{3}\right)} A - {\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} + 32 \, a b^{2} c^{3} - 96 \, a^{2} c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} - 16 \, \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 + 48 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{2} + 24 \, \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} - 12 \, \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} - 24 \, {\left(b^{2} - 4 \, a c\right)} a c^{3}\right)} B\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(2 \, {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 2 \, b^{4} c^{2} + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} - 16 \, a b^{2} c^{3} - 4 \, b^{3} c^{3} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{4} + 32 \, a^{2} c^{4} + 16 \, a b c^{4} + 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 b c^{2} - 4 \, \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} b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{2} + 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{3} + 4 \, {\left(b^{2} - 4 \, a c\right)} b c^{3}\right)} A - {\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} - 32 \, a b^{2} c^{3} + 96 \, a^{2} c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} + 16 \, \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 - 48 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{2} - 24 \, \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} + 12 \, \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} + 24 \, {\left(b^{2} - 4 \, a c\right)} a c^{3}\right)} B\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}}{2 \, {\left(b^{2} c - 4 \, a c^{2}\right)}}"," ",0,"-1/2*((B*b^2 - (2*B*a + A*b)*c)*x^3 + (B*a*b - 2*A*a*c)*x)/((b^2*c^2 - 4*a*c^3)*x^4 + a*b^2*c - 4*a^2*c^2 + (b^3*c - 4*a*b*c^2)*x^2) + 1/2*integrate((B*a*b - 2*A*a*c + (B*b^2 - (6*B*a - A*b)*c)*x^2)/(c*x^4 + b*x^2 + a), x)/(b^2*c - 4*a*c^2)","F",0
120,0,0,0,0.000000," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{{\left(B b - 2 \, A c\right)} x^{3} + {\left(2 \, B a - A b\right)} x}{2 \, {\left({\left(b^{2} c - 4 \, a c^{2}\right)} x^{4} + a b^{2} - 4 \, a^{2} c + {\left(b^{3} - 4 \, a b c\right)} x^{2}\right)}} - \frac{-\int \frac{{\left(B b - 2 \, A c\right)} x^{2} - 2 \, B a + A b}{c x^{4} + b x^{2} + a}\,{d x}}{2 \, {\left(b^{2} - 4 \, a c\right)}}"," ",0,"1/2*((B*b - 2*A*c)*x^3 + (2*B*a - A*b)*x)/((b^2*c - 4*a*c^2)*x^4 + a*b^2 - 4*a^2*c + (b^3 - 4*a*b*c)*x^2) - 1/2*integrate(-((B*b - 2*A*c)*x^2 - 2*B*a + A*b)/(c*x^4 + b*x^2 + a), x)/(b^2 - 4*a*c)","F",0
121,0,0,0,0.000000," ","integrate((B*x^2+A)/(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","-\frac{{\left(2 \, B a - A b\right)} c x^{3} + {\left(B a b - A b^{2} + 2 \, A a c\right)} x}{2 \, {\left({\left(a b^{2} c - 4 \, a^{2} c^{2}\right)} x^{4} + a^{2} b^{2} - 4 \, a^{3} c + {\left(a b^{3} - 4 \, a^{2} b c\right)} x^{2}\right)}} + \frac{-\int \frac{{\left(2 \, B a - A b\right)} c x^{2} - B a b - A b^{2} + 6 \, A a c}{c x^{4} + b x^{2} + a}\,{d x}}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)}}"," ",0,"-1/2*((2*B*a - A*b)*c*x^3 + (B*a*b - A*b^2 + 2*A*a*c)*x)/((a*b^2*c - 4*a^2*c^2)*x^4 + a^2*b^2 - 4*a^3*c + (a*b^3 - 4*a^2*b*c)*x^2) + 1/2*integrate(-((2*B*a - A*b)*c*x^2 - B*a*b - A*b^2 + 6*A*a*c)/(c*x^4 + b*x^2 + a), x)/(a*b^2 - 4*a^2*c)","F",0
122,0,0,0,0.000000," ","integrate((B*x^2+A)/x^2/(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{{\left(10 \, A a c^{2} + {\left(B a b - 3 \, A b^{2}\right)} c\right)} x^{4} - 2 \, A a b^{2} + 8 \, A a^{2} c + {\left(B a b^{2} - 3 \, A b^{3} - {\left(2 \, B a^{2} - 11 \, A a b\right)} c\right)} x^{2}}{2 \, {\left({\left(a^{2} b^{2} c - 4 \, a^{3} c^{2}\right)} x^{5} + {\left(a^{2} b^{3} - 4 \, a^{3} b c\right)} x^{3} + {\left(a^{3} b^{2} - 4 \, a^{4} c\right)} x\right)}} + \frac{-\frac{{\left({\left(3 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{7} - 37 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 6 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} c - 6 \, b^{7} c + 152 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + 50 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + 3 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} + 74 \, a b^{5} c^{2} + 6 \, b^{6} c^{2} - 208 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 104 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 25 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} - 304 \, a^{2} b^{3} c^{3} - 62 \, a b^{4} c^{3} + 52 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} + 416 \, a^{3} b c^{4} + 192 \, a^{2} b^{2} c^{4} - 160 \, a^{3} c^{5} - 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} + 31 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c + 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 96 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} - 38 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} + 80 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} + 40 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 19 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} - 20 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 6 \, {\left(b^{2} - 4 \, a c\right)} b^{5} c - 50 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} - 6 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c^{2} + 104 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3} + 38 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{3} - 40 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{4}\right)} A - {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{6} - 14 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 2 \, a b^{6} c + 64 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{2} + 20 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + 28 \, a^{2} b^{4} c^{2} + 2 \, a b^{5} c^{2} - 96 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{3} - 48 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 10 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 128 \, a^{3} b^{2} c^{3} - 24 \, a^{2} b^{3} c^{3} + 24 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} + 192 \, a^{4} c^{4} + 64 \, a^{3} b c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} + 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 32 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{2} - 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c - 20 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} + 48 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{3} + 16 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3}\right)} B\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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({\left(3 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{7} - 37 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 6 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} c + 6 \, b^{7} c + 152 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + 50 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + 3 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} - 74 \, a b^{5} c^{2} - 6 \, b^{6} c^{2} - 208 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 104 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 25 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} + 304 \, a^{2} b^{3} c^{3} + 62 \, a b^{4} c^{3} + 52 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} - 416 \, a^{3} b c^{4} - 192 \, a^{2} b^{2} c^{4} + 160 \, a^{3} c^{5} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} - 31 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c + 96 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 38 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 80 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} - 40 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 19 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + 20 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} - 6 \, {\left(b^{2} - 4 \, a c\right)} b^{5} c + 50 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} + 6 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c^{2} - 104 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3} - 38 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{3} + 40 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{4}\right)} A - {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{6} - 14 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c + 2 \, a b^{6} c + 64 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{2} + 20 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 28 \, a^{2} b^{4} c^{2} - 2 \, a b^{5} c^{2} - 96 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{3} - 48 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 10 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} + 128 \, a^{3} b^{2} c^{3} + 24 \, a^{2} b^{3} c^{3} + 24 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} - 192 \, a^{4} c^{4} - 64 \, a^{3} b c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} - 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c + 32 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{2} + 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c + 20 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} - 48 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{3} - 16 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3}\right)} B\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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}}{2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)}}"," ",0,"1/2*((10*A*a*c^2 + (B*a*b - 3*A*b^2)*c)*x^4 - 2*A*a*b^2 + 8*A*a^2*c + (B*a*b^2 - 3*A*b^3 - (2*B*a^2 - 11*A*a*b)*c)*x^2)/((a^2*b^2*c - 4*a^3*c^2)*x^5 + (a^2*b^3 - 4*a^3*b*c)*x^3 + (a^3*b^2 - 4*a^4*c)*x) + 1/2*integrate((B*a*b^2 - 3*A*b^3 + (10*A*a*c^2 + (B*a*b - 3*A*b^2)*c)*x^2 - (6*B*a^2 - 13*A*a*b)*c)/(c*x^4 + b*x^2 + a), x)/(a^2*b^2 - 4*a^3*c)","F",0
123,0,0,0,0.000000," ","integrate((B*x^2+A)/x^4/(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{3 \, {\left({\left(10 \, B a^{2} - 19 \, A a b\right)} c^{2} - {\left(3 \, B a b^{2} - 5 \, A b^{3}\right)} c\right)} x^{6} - 2 \, A a^{2} b^{2} + 8 \, A a^{3} c - {\left(9 \, B a b^{3} - 15 \, A b^{4} - 14 \, A a^{2} c^{2} - {\left(33 \, B a^{2} b - 62 \, A a b^{2}\right)} c\right)} x^{4} - 2 \, {\left(3 \, B a^{2} b^{2} - 5 \, A a b^{3} - 4 \, {\left(3 \, B a^{3} - 5 \, A a^{2} b\right)} c\right)} x^{2}}{6 \, {\left({\left(a^{3} b^{2} c - 4 \, a^{4} c^{2}\right)} x^{7} + {\left(a^{3} b^{3} - 4 \, a^{4} b c\right)} x^{5} + {\left(a^{4} b^{2} - 4 \, a^{5} c\right)} x^{3}\right)}} - \frac{-\frac{{\left({\left(5 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{8} - 64 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{6} c - 10 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{7} c - 10 \, b^{8} c + 286 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c^{2} + 88 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c^{2} + 5 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} c^{2} + 128 \, a b^{6} c^{2} + 10 \, b^{7} c^{2} - 496 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{3} - 220 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{3} - 44 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{3} - 572 \, a^{2} b^{4} c^{3} - 108 \, a b^{5} c^{3} + 224 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{4} + 112 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{4} + 110 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{4} + 992 \, a^{3} b^{2} c^{4} + 376 \, a^{2} b^{3} c^{4} - 56 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{5} - 448 \, a^{4} c^{5} - 416 \, a^{3} b c^{5} - 5 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{7} + 54 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c + 10 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} c - 188 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} - 68 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 5 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} + 208 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} + 104 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} + 34 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} - 52 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} + 10 \, {\left(b^{2} - 4 \, a c\right)} b^{6} c - 88 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c^{2} - 10 \, {\left(b^{2} - 4 \, a c\right)} b^{5} c^{2} + 220 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c^{3} + 68 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{3} - 112 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{4} - 104 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{4}\right)} A - {\left(3 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{7} - 37 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{5} c - 6 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{6} c - 6 \, a b^{7} c + 152 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{3} c^{2} + 50 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c^{2} + 3 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c^{2} + 74 \, a^{2} b^{5} c^{2} + 6 \, a b^{6} c^{2} - 208 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{4} b c^{3} - 104 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{3} - 25 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{3} - 304 \, a^{3} b^{3} c^{3} - 62 \, a^{2} b^{4} c^{3} + 52 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{4} + 416 \, a^{4} b c^{4} + 192 \, a^{3} b^{2} c^{4} - 160 \, a^{4} c^{5} - 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{6} + 31 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c + 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 96 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{2} - 38 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} - 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + 80 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{3} + 40 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} + 19 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 20 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} + 6 \, {\left(b^{2} - 4 \, a c\right)} a b^{5} c - 50 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{3} c^{2} - 6 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c^{2} + 104 \, {\left(b^{2} - 4 \, a c\right)} a^{3} b c^{3} + 38 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c^{3} - 40 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{4}\right)} B\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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({\left(5 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{8} - 64 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{6} c - 10 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{7} c + 10 \, b^{8} c + 286 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c^{2} + 88 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c^{2} + 5 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} c^{2} - 128 \, a b^{6} c^{2} - 10 \, b^{7} c^{2} - 496 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{3} - 220 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{3} - 44 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{3} + 572 \, a^{2} b^{4} c^{3} + 108 \, a b^{5} c^{3} + 224 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{4} + 112 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{4} + 110 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{4} - 992 \, a^{3} b^{2} c^{4} - 376 \, a^{2} b^{3} c^{4} - 56 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{5} + 448 \, a^{4} c^{5} + 416 \, a^{3} b c^{5} + 5 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{7} - 54 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 10 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} c + 188 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + 68 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + 5 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} - 208 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 104 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 34 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} + 52 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} - 10 \, {\left(b^{2} - 4 \, a c\right)} b^{6} c + 88 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c^{2} + 10 \, {\left(b^{2} - 4 \, a c\right)} b^{5} c^{2} - 220 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c^{3} - 68 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{3} + 112 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{4} + 104 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{4}\right)} A - {\left(3 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{7} - 37 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{5} c - 6 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{6} c + 6 \, a b^{7} c + 152 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{3} c^{2} + 50 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c^{2} + 3 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c^{2} - 74 \, a^{2} b^{5} c^{2} - 6 \, a b^{6} c^{2} - 208 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{4} b c^{3} - 104 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{3} - 25 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{3} + 304 \, a^{3} b^{3} c^{3} + 62 \, a^{2} b^{4} c^{3} + 52 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{4} - 416 \, a^{4} b c^{4} - 192 \, a^{3} b^{2} c^{4} + 160 \, a^{4} c^{5} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{6} - 31 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c + 96 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{2} + 38 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 80 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{3} - 40 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 19 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} + 20 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} - 6 \, {\left(b^{2} - 4 \, a c\right)} a b^{5} c + 50 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{3} c^{2} + 6 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c^{2} - 104 \, {\left(b^{2} - 4 \, a c\right)} a^{3} b c^{3} - 38 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b^{2} c^{3} + 40 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{4}\right)} B\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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}}{2 \, {\left(a^{3} b^{2} - 4 \, a^{4} c\right)}}"," ",0,"1/6*(3*((10*B*a^2 - 19*A*a*b)*c^2 - (3*B*a*b^2 - 5*A*b^3)*c)*x^6 - 2*A*a^2*b^2 + 8*A*a^3*c - (9*B*a*b^3 - 15*A*b^4 - 14*A*a^2*c^2 - (33*B*a^2*b - 62*A*a*b^2)*c)*x^4 - 2*(3*B*a^2*b^2 - 5*A*a*b^3 - 4*(3*B*a^3 - 5*A*a^2*b)*c)*x^2)/((a^3*b^2*c - 4*a^4*c^2)*x^7 + (a^3*b^3 - 4*a^4*b*c)*x^5 + (a^4*b^2 - 4*a^5*c)*x^3) - 1/2*integrate((3*B*a*b^3 - 5*A*b^4 - 14*A*a^2*c^2 - ((10*B*a^2 - 19*A*a*b)*c^2 - (3*B*a*b^2 - 5*A*b^3)*c)*x^2 - (13*B*a^2*b - 24*A*a*b^2)*c)/(c*x^4 + b*x^2 + a), x)/(a^3*b^2 - 4*a^4*c)","F",0
124,-2,0,0,0.000000," ","integrate(x^11*(B*x^2+A)/(c*x^4+b*x^2+a)^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
125,-2,0,0,0.000000," ","integrate(x^9*(B*x^2+A)/(c*x^4+b*x^2+a)^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
126,-2,0,0,0.000000," ","integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2+a)^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
127,-2,0,0,0.000000," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2+a)^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
128,-2,0,0,0.000000," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2+a)^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
129,-2,0,0,0.000000," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2+a)^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
130,-2,0,0,0.000000," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2+a)^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
131,-2,0,0,0.000000," ","integrate((B*x^2+A)/x^3/(c*x^4+b*x^2+a)^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
132,0,0,0,0.000000," ","integrate(x^8*(B*x^2+A)/(c*x^4+b*x^2+a)^3,x, algorithm=""maxima"")","-\frac{{\left(5 \, B b^{4} c + 4 \, {\left(11 \, B a^{2} + 4 \, A a b\right)} c^{3} - {\left(37 \, B a b^{2} + A b^{3}\right)} c^{2}\right)} x^{7} + {\left(3 \, B b^{5} + 36 \, A a^{2} c^{3} - {\left(4 \, B a^{2} b - 5 \, A a b^{2}\right)} c^{2} - {\left(20 \, B a b^{3} - A b^{4}\right)} c\right)} x^{5} + {\left(6 \, B a b^{4} + 28 \, {\left(B a^{3} + A a^{2} b\right)} c^{2} - {\left(49 \, B a^{2} b^{2} - 2 \, A a b^{3}\right)} c\right)} x^{3} + {\left(3 \, B a^{2} b^{3} + 20 \, A a^{3} c^{2} - {\left(24 \, B a^{3} b - A a^{2} b^{2}\right)} c\right)} x}{8 \, {\left({\left(b^{4} c^{4} - 8 \, a b^{2} c^{5} + 16 \, a^{2} c^{6}\right)} x^{8} + a^{2} b^{4} c^{2} - 8 \, a^{3} b^{2} c^{3} + 16 \, a^{4} c^{4} + 2 \, {\left(b^{5} c^{3} - 8 \, a b^{3} c^{4} + 16 \, a^{2} b c^{5}\right)} x^{6} + {\left(b^{6} c^{2} - 6 \, a b^{4} c^{3} + 32 \, a^{3} c^{5}\right)} x^{4} + 2 \, {\left(a b^{5} c^{2} - 8 \, a^{2} b^{3} c^{3} + 16 \, a^{3} b c^{4}\right)} x^{2}\right)}} - \frac{-\int \frac{3 \, B a b^{3} + 20 \, A a^{2} c^{2} + {\left(3 \, B b^{4} + 4 \, {\left(21 \, B a^{2} - 4 \, A a b\right)} c^{2} - {\left(27 \, B a b^{2} - A b^{3}\right)} c\right)} x^{2} - {\left(24 \, B a^{2} b - A a b^{2}\right)} c}{c x^{4} + b x^{2} + a}\,{d x}}{8 \, {\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)}}"," ",0,"-1/8*((5*B*b^4*c + 4*(11*B*a^2 + 4*A*a*b)*c^3 - (37*B*a*b^2 + A*b^3)*c^2)*x^7 + (3*B*b^5 + 36*A*a^2*c^3 - (4*B*a^2*b - 5*A*a*b^2)*c^2 - (20*B*a*b^3 - A*b^4)*c)*x^5 + (6*B*a*b^4 + 28*(B*a^3 + A*a^2*b)*c^2 - (49*B*a^2*b^2 - 2*A*a*b^3)*c)*x^3 + (3*B*a^2*b^3 + 20*A*a^3*c^2 - (24*B*a^3*b - A*a^2*b^2)*c)*x)/((b^4*c^4 - 8*a*b^2*c^5 + 16*a^2*c^6)*x^8 + a^2*b^4*c^2 - 8*a^3*b^2*c^3 + 16*a^4*c^4 + 2*(b^5*c^3 - 8*a*b^3*c^4 + 16*a^2*b*c^5)*x^6 + (b^6*c^2 - 6*a*b^4*c^3 + 32*a^3*c^5)*x^4 + 2*(a*b^5*c^2 - 8*a^2*b^3*c^3 + 16*a^3*b*c^4)*x^2) - 1/8*integrate(-(3*B*a*b^3 + 20*A*a^2*c^2 + (3*B*b^4 + 4*(21*B*a^2 - 4*A*a*b)*c^2 - (27*B*a*b^2 - A*b^3)*c)*x^2 - (24*B*a^2*b - A*a*b^2)*c)/(c*x^4 + b*x^2 + a), x)/(b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)","F",0
133,0,0,0,0.000000," ","integrate(x^6*(B*x^2+A)/(c*x^4+b*x^2+a)^3,x, algorithm=""maxima"")","\frac{{\left(B b^{3} c + 12 \, A a c^{3} - {\left(16 \, B a b - 3 \, A b^{2}\right)} c^{2}\right)} x^{7} - {\left(B b^{4} + 4 \, {\left(9 \, B a^{2} - 4 \, A a b\right)} c^{2} + 5 \, {\left(B a b^{2} - A b^{3}\right)} c\right)} x^{5} - {\left(2 \, B a b^{3} + 4 \, A a^{2} c^{2} + {\left(28 \, B a^{2} b - 19 \, A a b^{2}\right)} c\right)} x^{3} - {\left(B a^{2} b^{2} + 4 \, {\left(5 \, B a^{3} - 3 \, A a^{2} b\right)} c\right)} x}{8 \, {\left({\left(b^{4} c^{3} - 8 \, a b^{2} c^{4} + 16 \, a^{2} c^{5}\right)} x^{8} + a^{2} b^{4} c - 8 \, a^{3} b^{2} c^{2} + 16 \, a^{4} c^{3} + 2 \, {\left(b^{5} c^{2} - 8 \, a b^{3} c^{3} + 16 \, a^{2} b c^{4}\right)} x^{6} + {\left(b^{6} c - 6 \, a b^{4} c^{2} + 32 \, a^{3} c^{4}\right)} x^{4} + 2 \, {\left(a b^{5} c - 8 \, a^{2} b^{3} c^{2} + 16 \, a^{3} b c^{3}\right)} x^{2}\right)}} + \frac{-\frac{{\left(6 \, {\left(2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 4 \, b^{5} c^{2} + 32 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{3} + 32 \, a b^{3} c^{3} + 6 \, b^{4} c^{3} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{4} - 64 \, a^{2} b c^{4} - 16 \, a b^{2} c^{4} - 32 \, a^{2} c^{5} - 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} - 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{4} + 4 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} - 16 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3} - 6 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{3} - 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{4}\right)} A - {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} + 12 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 2 \, b^{6} c - 144 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} - 32 \, \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} - 24 \, a b^{4} c^{2} - 2 \, b^{5} c^{2} + 320 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} + 160 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + 288 \, a^{2} b^{2} c^{3} + 112 \, a b^{3} c^{3} - 80 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} - 640 \, a^{3} c^{4} - 416 \, a^{2} b c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} - 56 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c + 208 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 104 \, \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^{2} - 52 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c + 32 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} - 160 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3} - 104 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3}\right)} B\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(6 \, {\left(2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} + 4 \, b^{5} c^{2} + 32 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{3} - 32 \, a b^{3} c^{3} - 6 \, b^{4} c^{3} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{4} + 64 \, a^{2} b c^{4} + 16 \, a b^{2} c^{4} + 32 \, a^{2} c^{5} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{4} - 4 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} + 16 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3} + 6 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{3} + 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{4}\right)} A - {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} + 12 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c + 2 \, b^{6} c - 144 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} - 32 \, \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} + 24 \, a b^{4} c^{2} + 2 \, b^{5} c^{2} + 320 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} + 160 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} - 288 \, a^{2} b^{2} c^{3} - 112 \, a b^{3} c^{3} - 80 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 640 \, a^{3} c^{4} + 416 \, a^{2} b c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} + 56 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 208 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} - 104 \, \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^{2} + 52 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c - 32 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} + 160 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3} + 104 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3}\right)} B\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}}{8 \, {\left(b^{4} c - 8 \, a b^{2} c^{2} + 16 \, a^{2} c^{3}\right)}}"," ",0,"1/8*((B*b^3*c + 12*A*a*c^3 - (16*B*a*b - 3*A*b^2)*c^2)*x^7 - (B*b^4 + 4*(9*B*a^2 - 4*A*a*b)*c^2 + 5*(B*a*b^2 - A*b^3)*c)*x^5 - (2*B*a*b^3 + 4*A*a^2*c^2 + (28*B*a^2*b - 19*A*a*b^2)*c)*x^3 - (B*a^2*b^2 + 4*(5*B*a^3 - 3*A*a^2*b)*c)*x)/((b^4*c^3 - 8*a*b^2*c^4 + 16*a^2*c^5)*x^8 + a^2*b^4*c - 8*a^3*b^2*c^2 + 16*a^4*c^3 + 2*(b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4)*x^6 + (b^6*c - 6*a*b^4*c^2 + 32*a^3*c^4)*x^4 + 2*(a*b^5*c - 8*a^2*b^3*c^2 + 16*a^3*b*c^3)*x^2) + 1/8*integrate((B*a*b^2 + (B*b^3 + 12*A*a*c^2 - (16*B*a*b - 3*A*b^2)*c)*x^2 + 4*(5*B*a^2 - 3*A*a*b)*c)/(c*x^4 + b*x^2 + a), x)/(b^4*c - 8*a*b^2*c^2 + 16*a^2*c^3)","F",0
134,0,0,0,0.000000," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2+a)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(B b^{2} c + 4 \, {\left(B a - A b\right)} c^{2}\right)} x^{7} + {\left(5 \, B b^{3} + 4 \, A a c^{2} + {\left(16 \, B a b - 19 \, A b^{2}\right)} c\right)} x^{5} + {\left(19 \, B a b^{2} - 5 \, A b^{3} - 4 \, {\left(B a^{2} + 4 \, A a b\right)} c\right)} x^{3} + 3 \, {\left(4 \, B a^{2} b - A a b^{2} - 4 \, A a^{2} c\right)} x}{8 \, {\left({\left(b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} x^{8} + 2 \, {\left(b^{5} c - 8 \, a b^{3} c^{2} + 16 \, a^{2} b c^{3}\right)} x^{6} + a^{2} b^{4} - 8 \, a^{3} b^{2} c + 16 \, a^{4} c^{2} + {\left(b^{6} - 6 \, a b^{4} c + 32 \, a^{3} c^{3}\right)} x^{4} + 2 \, {\left(a b^{5} - 8 \, a^{2} b^{3} c + 16 \, a^{3} b c^{2}\right)} x^{2}\right)}} - \frac{3 \, {\left(-\frac{{\left({\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 2 \, b^{6} c - 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} + 8 \, a b^{4} c^{2} + 2 \, b^{5} c^{2} + 64 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} + 32 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 32 \, a^{2} b^{2} c^{3} + 16 \, a b^{3} c^{3} - 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} - 128 \, a^{3} c^{4} - 96 \, a^{2} b c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c + 48 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 24 \, \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^{2} - 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} - 32 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3} - 24 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3}\right)} A - 2 \, {\left(2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} - 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 4 \, a b^{5} c + 32 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{2} + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + 32 \, a^{2} b^{3} c^{2} + 6 \, a b^{4} c^{2} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 64 \, a^{3} b c^{3} - 16 \, a^{2} b^{2} c^{3} - 32 \, a^{3} c^{4} - 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c + 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c + 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{2} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} - 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} + 4 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c - 16 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{2} - 6 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} - 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3}\right)} B\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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({\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c + 2 \, b^{6} c - 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 8 \, a b^{4} c^{2} - 2 \, b^{5} c^{2} + 64 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} + 32 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 32 \, a^{2} b^{2} c^{3} - 16 \, a b^{3} c^{3} - 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 128 \, a^{3} c^{4} + 96 \, a^{2} b c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 48 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} - 24 \, \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^{2} + 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{2} + 32 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3} + 24 \, {\left(b^{2} - 4 \, a c\right)} a b c^{3}\right)} A - 2 \, {\left(2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} - 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c + 4 \, a b^{5} c + 32 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{2} + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 32 \, a^{2} b^{3} c^{2} - 6 \, a b^{4} c^{2} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 64 \, a^{3} b c^{3} + 16 \, a^{2} b^{2} c^{3} + 32 \, a^{3} c^{4} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c - 16 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{2} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{2} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} - 4 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c + 16 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{2} + 6 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{2} + 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{3}\right)} B\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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}\right)}}{8 \, {\left(b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}\right)}}"," ",0,"1/8*(3*(B*b^2*c + 4*(B*a - A*b)*c^2)*x^7 + (5*B*b^3 + 4*A*a*c^2 + (16*B*a*b - 19*A*b^2)*c)*x^5 + (19*B*a*b^2 - 5*A*b^3 - 4*(B*a^2 + 4*A*a*b)*c)*x^3 + 3*(4*B*a^2*b - A*a*b^2 - 4*A*a^2*c)*x)/((b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4)*x^8 + 2*(b^5*c - 8*a*b^3*c^2 + 16*a^2*b*c^3)*x^6 + a^2*b^4 - 8*a^3*b^2*c + 16*a^4*c^2 + (b^6 - 6*a*b^4*c + 32*a^3*c^3)*x^4 + 2*(a*b^5 - 8*a^2*b^3*c + 16*a^3*b*c^2)*x^2) - 3/8*integrate((4*B*a*b - A*b^2 - 4*A*a*c - (B*b^2 + 4*(B*a - A*b)*c)*x^2)/(c*x^4 + b*x^2 + a), x)/(b^4 - 8*a*b^2*c + 16*a^2*c^2)","F",0
135,0,0,0,0.000000," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2+a)^3,x, algorithm=""maxima"")","\frac{{\left(20 \, A a c^{3} - {\left(12 \, B a b - A b^{2}\right)} c^{2}\right)} x^{7} + {\left(4 \, {\left(B a^{2} + 7 \, A a b\right)} c^{2} - {\left(19 \, B a b^{2} - 2 \, A b^{3}\right)} c\right)} x^{5} - {\left(5 \, B a b^{3} - A b^{4} - 36 \, A a^{2} c^{2} + {\left(16 \, B a^{2} b - 5 \, A a b^{2}\right)} c\right)} x^{3} - {\left(3 \, B a^{2} b^{2} + A a b^{3} + 4 \, {\left(3 \, B a^{3} - 4 \, A a^{2} b\right)} c\right)} x}{8 \, {\left({\left(a b^{4} c^{2} - 8 \, a^{2} b^{2} c^{3} + 16 \, a^{3} c^{4}\right)} x^{8} + a^{3} b^{4} - 8 \, a^{4} b^{2} c + 16 \, a^{5} c^{2} + 2 \, {\left(a b^{5} c - 8 \, a^{2} b^{3} c^{2} + 16 \, a^{3} b c^{3}\right)} x^{6} + {\left(a b^{6} - 6 \, a^{2} b^{4} c + 32 \, a^{4} c^{3}\right)} x^{4} + 2 \, {\left(a^{2} b^{5} - 8 \, a^{3} b^{3} c + 16 \, a^{4} b c^{2}\right)} x^{2}\right)}} + \frac{\frac{{\left({\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{7} - 24 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} c - 2 \, b^{7} c + 144 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + 40 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} + 48 \, a b^{5} c^{2} + 2 \, b^{6} c^{2} - 256 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 128 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 20 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} - 288 \, a^{2} b^{3} c^{3} - 44 \, a b^{4} c^{3} + 64 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} + 512 \, a^{3} b c^{4} + 64 \, a^{2} b^{2} c^{4} + 320 \, a^{3} c^{5} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} + 22 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 32 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} - 36 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 160 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} - 80 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 18 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + 40 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{5} c - 40 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c^{2} + 128 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3} + 36 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{3} + 80 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{4}\right)} A + 3 \, {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{6} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 2 \, a b^{6} c - 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + 8 \, a^{2} b^{4} c^{2} + 2 \, a b^{5} c^{2} + 64 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{3} + 32 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} + 32 \, a^{3} b^{2} c^{3} + 16 \, a^{2} b^{3} c^{3} - 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} - 128 \, a^{4} c^{4} - 96 \, a^{3} b c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c + 48 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{2} + 24 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c - 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} - 32 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{3} - 24 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3}\right)} B\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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({\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{7} - 24 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} c + 2 \, b^{7} c + 144 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + 40 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} - 48 \, a b^{5} c^{2} - 2 \, b^{6} c^{2} - 256 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 128 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 20 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} + 288 \, a^{2} b^{3} c^{3} + 44 \, a b^{4} c^{3} + 64 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} - 512 \, a^{3} b c^{4} - 64 \, a^{2} b^{2} c^{4} - 320 \, a^{3} c^{5} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} - 22 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c + 32 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 36 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} + 160 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} + 80 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 18 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} - 40 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{5} c + 40 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c^{2} - 128 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3} - 36 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{3} - 80 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{4}\right)} A + 3 \, {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{6} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{4} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c + 2 \, a b^{6} c - 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b^{2} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 8 \, a^{2} b^{4} c^{2} - 2 \, a b^{5} c^{2} + 64 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{4} c^{3} + 32 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 32 \, a^{3} b^{2} c^{3} - 16 \, a^{2} b^{3} c^{3} - 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} + 128 \, a^{4} c^{4} + 96 \, a^{3} b c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 48 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{2} - 24 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{4} c + 2 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} + 32 \, {\left(b^{2} - 4 \, a c\right)} a^{3} c^{3} + 24 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3}\right)} B\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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}}{8 \, {\left(a b^{4} - 8 \, a^{2} b^{2} c + 16 \, a^{3} c^{2}\right)}}"," ",0,"1/8*((20*A*a*c^3 - (12*B*a*b - A*b^2)*c^2)*x^7 + (4*(B*a^2 + 7*A*a*b)*c^2 - (19*B*a*b^2 - 2*A*b^3)*c)*x^5 - (5*B*a*b^3 - A*b^4 - 36*A*a^2*c^2 + (16*B*a^2*b - 5*A*a*b^2)*c)*x^3 - (3*B*a^2*b^2 + A*a*b^3 + 4*(3*B*a^3 - 4*A*a^2*b)*c)*x)/((a*b^4*c^2 - 8*a^2*b^2*c^3 + 16*a^3*c^4)*x^8 + a^3*b^4 - 8*a^4*b^2*c + 16*a^5*c^2 + 2*(a*b^5*c - 8*a^2*b^3*c^2 + 16*a^3*b*c^3)*x^6 + (a*b^6 - 6*a^2*b^4*c + 32*a^4*c^3)*x^4 + 2*(a^2*b^5 - 8*a^3*b^3*c + 16*a^4*b*c^2)*x^2) + 1/8*integrate((3*B*a*b^2 + A*b^3 + (20*A*a*c^2 - (12*B*a*b - A*b^2)*c)*x^2 + 4*(3*B*a^2 - 4*A*a*b)*c)/(c*x^4 + b*x^2 + a), x)/(a*b^4 - 8*a^2*b^2*c + 16*a^3*c^2)","F",0
136,0,0,0,0.000000," ","integrate((B*x^2+A)/(c*x^4+b*x^2+a)^3,x, algorithm=""maxima"")","\frac{{\left(4 \, {\left(5 \, B a^{2} - 6 \, A a b\right)} c^{3} + {\left(B a b^{2} + 3 \, A b^{3}\right)} c^{2}\right)} x^{7} + {\left(28 \, A a^{2} c^{3} + 7 \, {\left(4 \, B a^{2} b - 7 \, A a b^{2}\right)} c^{2} + 2 \, {\left(B a b^{3} + 3 \, A b^{4}\right)} c\right)} x^{5} + {\left(B a b^{4} + 3 \, A b^{5} + 4 \, {\left(9 \, B a^{3} - A a^{2} b\right)} c^{2} + 5 \, {\left(B a^{2} b^{2} - 4 \, A a b^{3}\right)} c\right)} x^{3} - {\left(B a^{2} b^{3} - 5 \, A a b^{4} - 44 \, A a^{3} c^{2} - {\left(16 \, B a^{3} b - 37 \, A a^{2} b^{2}\right)} c\right)} x}{8 \, {\left({\left(a^{2} b^{4} c^{2} - 8 \, a^{3} b^{2} c^{3} + 16 \, a^{4} c^{4}\right)} x^{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)} x^{6} + {\left(a^{2} b^{6} - 6 \, a^{3} b^{4} c + 32 \, a^{5} c^{3}\right)} x^{4} + 2 \, {\left(a^{3} b^{5} - 8 \, a^{4} b^{3} c + 16 \, a^{5} b c^{2}\right)} x^{2}\right)}} - \frac{-\int \frac{B a b^{3} + 3 \, A b^{4} + 84 \, A a^{2} c^{2} + {\left(4 \, {\left(5 \, B a^{2} - 6 \, A a b\right)} c^{2} + {\left(B a b^{2} + 3 \, A b^{3}\right)} c\right)} x^{2} - {\left(16 \, B a^{2} b + 27 \, A a b^{2}\right)} c}{c x^{4} + b x^{2} + a}\,{d x}}{8 \, {\left(a^{2} b^{4} - 8 \, a^{3} b^{2} c + 16 \, a^{4} c^{2}\right)}}"," ",0,"1/8*((4*(5*B*a^2 - 6*A*a*b)*c^3 + (B*a*b^2 + 3*A*b^3)*c^2)*x^7 + (28*A*a^2*c^3 + 7*(4*B*a^2*b - 7*A*a*b^2)*c^2 + 2*(B*a*b^3 + 3*A*b^4)*c)*x^5 + (B*a*b^4 + 3*A*b^5 + 4*(9*B*a^3 - A*a^2*b)*c^2 + 5*(B*a^2*b^2 - 4*A*a*b^3)*c)*x^3 - (B*a^2*b^3 - 5*A*a*b^4 - 44*A*a^3*c^2 - (16*B*a^3*b - 37*A*a^2*b^2)*c)*x)/((a^2*b^4*c^2 - 8*a^3*b^2*c^3 + 16*a^4*c^4)*x^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)*x^6 + (a^2*b^6 - 6*a^3*b^4*c + 32*a^5*c^3)*x^4 + 2*(a^3*b^5 - 8*a^4*b^3*c + 16*a^5*b*c^2)*x^2) - 1/8*integrate(-(B*a*b^3 + 3*A*b^4 + 84*A*a^2*c^2 + (4*(5*B*a^2 - 6*A*a*b)*c^2 + (B*a*b^2 + 3*A*b^3)*c)*x^2 - (16*B*a^2*b + 27*A*a*b^2)*c)/(c*x^4 + b*x^2 + a), x)/(a^2*b^4 - 8*a^3*b^2*c + 16*a^4*c^2)","F",0
137,1,17,0,0.718404," ","integrate(x*(4*x^2-7)/(x^4-5*x^2+4),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(x^{2} - 1\right) + \frac{3}{2} \, \log\left(x^{2} - 4\right)"," ",0,"1/2*log(x^2 - 1) + 3/2*log(x^2 - 4)","A",0
138,1,25,0,0.739496," ","integrate((4*x^3-7*x)/(x^4-5*x^2+4),x, algorithm=""maxima"")","\frac{3}{2} \, \log\left(x + 2\right) + \frac{1}{2} \, \log\left(x + 1\right) + \frac{1}{2} \, \log\left(x - 1\right) + \frac{3}{2} \, \log\left(x - 2\right)"," ",0,"3/2*log(x + 2) + 1/2*log(x + 1) + 1/2*log(x - 1) + 3/2*log(x - 2)","A",0
139,1,30,0,1.400676," ","integrate(x*(x^2+2)/(x^4+x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{2} + 1\right)}\right) + \frac{1}{4} \, \log\left(x^{4} + x^{2} + 1\right)"," ",0,"1/2*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^2 + 1)) + 1/4*log(x^4 + x^2 + 1)","A",0
140,1,53,0,1.597313," ","integrate((x^3+2*x)/(x^4+x^2+1),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{2} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{4} \, \log\left(x^{2} + x + 1\right) + \frac{1}{4} \, \log\left(x^{2} - x + 1\right)"," ",0,"-1/2*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/2*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/4*log(x^2 + x + 1) + 1/4*log(x^2 - x + 1)","A",0
141,0,0,0,0.000000," ","integrate((2*x^3+11*x)/(x^4+2*x^2+3)^2,x, algorithm=""maxima"")","\frac{9 \, x^{2} + 5}{8 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}} + \frac{9}{4} \, \int \frac{x}{x^{4} + 2 \, x^{2} + 3}\,{d x}"," ",0,"1/8*(9*x^2 + 5)/(x^4 + 2*x^2 + 3) + 9/4*integrate(x/(x^4 + 2*x^2 + 3), x)","F",0
142,1,104,0,0.672282," ","integrate(x^5*(3*x^2+2)*(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\frac{3}{10} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} x^{4} - \frac{17}{16} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} x^{2} - \frac{1633}{128} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} + \frac{1837}{480} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} - \frac{8165}{256} \, \sqrt{x^{4} + 5 \, x^{2} + 3} + \frac{21229}{512} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"3/10*(x^4 + 5*x^2 + 3)^(3/2)*x^4 - 17/16*(x^4 + 5*x^2 + 3)^(3/2)*x^2 - 1633/128*sqrt(x^4 + 5*x^2 + 3)*x^2 + 1837/480*(x^4 + 5*x^2 + 3)^(3/2) - 8165/256*sqrt(x^4 + 5*x^2 + 3) + 21229/512*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
143,1,87,0,0.593042," ","integrate(x^3*(3*x^2+2)*(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\frac{3}{8} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} x^{2} + \frac{259}{64} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} - \frac{59}{48} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} + \frac{1295}{128} \, \sqrt{x^{4} + 5 \, x^{2} + 3} - \frac{3367}{256} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"3/8*(x^4 + 5*x^2 + 3)^(3/2)*x^2 + 259/64*sqrt(x^4 + 5*x^2 + 3)*x^2 - 59/48*(x^4 + 5*x^2 + 3)^(3/2) + 1295/128*sqrt(x^4 + 5*x^2 + 3) - 3367/256*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
144,1,70,0,0.652599," ","integrate(x*(3*x^2+2)*(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","-\frac{11}{8} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} + \frac{1}{2} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} - \frac{55}{16} \, \sqrt{x^{4} + 5 \, x^{2} + 3} + \frac{143}{32} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"-11/8*sqrt(x^4 + 5*x^2 + 3)*x^2 + 1/2*(x^4 + 5*x^2 + 3)^(3/2) - 55/16*sqrt(x^4 + 5*x^2 + 3) + 143/32*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
145,1,89,0,1.495785," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(1/2)/x,x, algorithm=""maxima"")","\frac{3}{4} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} - \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) + \frac{23}{8} \, \sqrt{x^{4} + 5 \, x^{2} + 3} + \frac{1}{16} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"3/4*sqrt(x^4 + 5*x^2 + 3)*x^2 - sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) + 23/8*sqrt(x^4 + 5*x^2 + 3) + 1/16*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
146,1,89,0,1.350211," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(1/2)/x^3,x, algorithm=""maxima"")","-\frac{7}{3} \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) + \frac{3}{2} \, \sqrt{x^{4} + 5 \, x^{2} + 3} - \frac{\sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{19}{4} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"-7/3*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) + 3/2*sqrt(x^4 + 5*x^2 + 3) - sqrt(x^4 + 5*x^2 + 3)/x^2 + 19/4*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
147,1,106,0,1.425627," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(1/2)/x^5,x, algorithm=""maxima"")","-\frac{77}{72} \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) + \frac{1}{6} \, \sqrt{x^{4} + 5 \, x^{2} + 3} - \frac{13 \, \sqrt{x^{4} + 5 \, x^{2} + 3}}{12 \, x^{2}} - \frac{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}{6 \, x^{4}} + \frac{3}{2} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"-77/72*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) + 1/6*sqrt(x^4 + 5*x^2 + 3) - 13/12*sqrt(x^4 + 5*x^2 + 3)/x^2 - 1/6*(x^4 + 5*x^2 + 3)^(3/2)/x^4 + 3/2*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
148,1,99,0,1.452867," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(1/2)/x^7,x, algorithm=""maxima"")","\frac{13}{108} \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) + \frac{1}{9} \, \sqrt{x^{4} + 5 \, x^{2} + 3} + \frac{5 \, \sqrt{x^{4} + 5 \, x^{2} + 3}}{18 \, x^{2}} - \frac{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}{9 \, x^{4}} - \frac{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}{9 \, x^{6}}"," ",0,"13/108*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) + 1/9*sqrt(x^4 + 5*x^2 + 3) + 5/18*sqrt(x^4 + 5*x^2 + 3)/x^2 - 1/9*(x^4 + 5*x^2 + 3)^(3/2)/x^4 - 1/9*(x^4 + 5*x^2 + 3)^(3/2)/x^6","A",0
149,1,116,0,1.736335," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(1/2)/x^9,x, algorithm=""maxima"")","-\frac{871}{10368} \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) - \frac{67}{864} \, \sqrt{x^{4} + 5 \, x^{2} + 3} - \frac{335 \, \sqrt{x^{4} + 5 \, x^{2} + 3}}{1728 \, x^{2}} + \frac{67 \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}{864 \, x^{4}} - \frac{11 \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}{216 \, x^{6}} - \frac{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}{12 \, x^{8}}"," ",0,"-871/10368*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) - 67/864*sqrt(x^4 + 5*x^2 + 3) - 335/1728*sqrt(x^4 + 5*x^2 + 3)/x^2 + 67/864*(x^4 + 5*x^2 + 3)^(3/2)/x^4 - 11/216*(x^4 + 5*x^2 + 3)^(3/2)/x^6 - 1/12*(x^4 + 5*x^2 + 3)^(3/2)/x^8","A",0
150,1,133,0,1.730494," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(1/2)/x^11,x, algorithm=""maxima"")","\frac{2093}{31104} \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) + \frac{161}{2592} \, \sqrt{x^{4} + 5 \, x^{2} + 3} + \frac{805 \, \sqrt{x^{4} + 5 \, x^{2} + 3}}{5184 \, x^{2}} - \frac{161 \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}{2592 \, x^{4}} + \frac{173 \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}{3240 \, x^{6}} - \frac{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}{36 \, x^{8}} - \frac{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}{15 \, x^{10}}"," ",0,"2093/31104*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) + 161/2592*sqrt(x^4 + 5*x^2 + 3) + 805/5184*sqrt(x^4 + 5*x^2 + 3)/x^2 - 161/2592*(x^4 + 5*x^2 + 3)^(3/2)/x^4 + 173/3240*(x^4 + 5*x^2 + 3)^(3/2)/x^6 - 1/36*(x^4 + 5*x^2 + 3)^(3/2)/x^8 - 1/15*(x^4 + 5*x^2 + 3)^(3/2)/x^10","A",0
151,0,0,0,0.000000," ","integrate(x^4*(3*x^2+2)*(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 5 \, x^{2} + 3} {\left(3 \, x^{2} + 2\right)} x^{4}\,{d x}"," ",0,"integrate(sqrt(x^4 + 5*x^2 + 3)*(3*x^2 + 2)*x^4, x)","F",0
152,0,0,0,0.000000," ","integrate(x^2*(3*x^2+2)*(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 5 \, x^{2} + 3} {\left(3 \, x^{2} + 2\right)} x^{2}\,{d x}"," ",0,"integrate(sqrt(x^4 + 5*x^2 + 3)*(3*x^2 + 2)*x^2, x)","F",0
153,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\int \sqrt{x^{4} + 5 \, x^{2} + 3} {\left(3 \, x^{2} + 2\right)}\,{d x}"," ",0,"integrate(sqrt(x^4 + 5*x^2 + 3)*(3*x^2 + 2), x)","F",0
154,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(1/2)/x^2,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 5 \, x^{2} + 3} {\left(3 \, x^{2} + 2\right)}}{x^{2}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 5*x^2 + 3)*(3*x^2 + 2)/x^2, x)","F",0
155,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{x^{4} + 5 \, x^{2} + 3} {\left(3 \, x^{2} + 2\right)}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(x^4 + 5*x^2 + 3)*(3*x^2 + 2)/x^4, x)","F",0
156,1,135,0,0.585281," ","integrate(x^5*(3*x^2+2)*(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","\frac{3}{14} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{5}{2}} x^{4} - \frac{107}{168} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{5}{2}} x^{2} - \frac{2183}{384} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} x^{2} + \frac{3313}{1680} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{5}{2}} + \frac{28379}{1024} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} - \frac{10915}{768} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} + \frac{141895}{2048} \, \sqrt{x^{4} + 5 \, x^{2} + 3} - \frac{368927}{4096} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"3/14*(x^4 + 5*x^2 + 3)^(5/2)*x^4 - 107/168*(x^4 + 5*x^2 + 3)^(5/2)*x^2 - 2183/384*(x^4 + 5*x^2 + 3)^(3/2)*x^2 + 3313/1680*(x^4 + 5*x^2 + 3)^(5/2) + 28379/1024*sqrt(x^4 + 5*x^2 + 3)*x^2 - 10915/768*(x^4 + 5*x^2 + 3)^(3/2) + 141895/2048*sqrt(x^4 + 5*x^2 + 3) - 368927/4096*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
157,1,118,0,0.878184," ","integrate(x^3*(3*x^2+2)*(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{5}{2}} x^{2} + \frac{123}{64} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} x^{2} - \frac{27}{40} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{5}{2}} - \frac{4797}{512} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} + \frac{615}{128} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} - \frac{23985}{1024} \, \sqrt{x^{4} + 5 \, x^{2} + 3} + \frac{62361}{2048} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"1/4*(x^4 + 5*x^2 + 3)^(5/2)*x^2 + 123/64*(x^4 + 5*x^2 + 3)^(3/2)*x^2 - 27/40*(x^4 + 5*x^2 + 3)^(5/2) - 4797/512*sqrt(x^4 + 5*x^2 + 3)*x^2 + 615/128*(x^4 + 5*x^2 + 3)^(3/2) - 23985/1024*sqrt(x^4 + 5*x^2 + 3) + 62361/2048*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
158,1,101,0,0.665529," ","integrate(x*(3*x^2+2)*(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","-\frac{11}{16} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} x^{2} + \frac{3}{10} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{5}{2}} + \frac{429}{128} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} - \frac{55}{32} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} + \frac{2145}{256} \, \sqrt{x^{4} + 5 \, x^{2} + 3} - \frac{5577}{512} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"-11/16*(x^4 + 5*x^2 + 3)^(3/2)*x^2 + 3/10*(x^4 + 5*x^2 + 3)^(5/2) + 429/128*sqrt(x^4 + 5*x^2 + 3)*x^2 - 55/32*(x^4 + 5*x^2 + 3)^(3/2) + 2145/256*sqrt(x^4 + 5*x^2 + 3) - 5577/512*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
159,1,120,0,1.395591," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(3/2)/x,x, algorithm=""maxima"")","\frac{3}{8} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} x^{2} - \frac{37}{64} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} + \frac{61}{48} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} - 3 \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) + \frac{199}{128} \, \sqrt{x^{4} + 5 \, x^{2} + 3} + \frac{2401}{256} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"3/8*(x^4 + 5*x^2 + 3)^(3/2)*x^2 - 37/64*sqrt(x^4 + 5*x^2 + 3)*x^2 + 61/48*(x^4 + 5*x^2 + 3)^(3/2) - 3*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) + 199/128*sqrt(x^4 + 5*x^2 + 3) + 2401/256*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
160,1,120,0,1.745949," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(3/2)/x^3,x, algorithm=""maxima"")","\frac{27}{8} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} + \frac{1}{2} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} - 12 \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) + \frac{327}{16} \, \sqrt{x^{4} + 5 \, x^{2} + 3} - \frac{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}{x^{2}} + \frac{609}{32} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"27/8*sqrt(x^4 + 5*x^2 + 3)*x^2 + 1/2*(x^4 + 5*x^2 + 3)^(3/2) - 12*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) + 327/16*sqrt(x^4 + 5*x^2 + 3) - (x^4 + 5*x^2 + 3)^(3/2)/x^2 + 609/32*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
161,1,137,0,1.460775," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(3/2)/x^5,x, algorithm=""maxima"")","\frac{7}{2} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} + \frac{1}{6} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} - \frac{127}{8} \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) + \frac{197}{8} \, \sqrt{x^{4} + 5 \, x^{2} + 3} - \frac{23 \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}{12 \, x^{2}} - \frac{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{5}{2}}}{6 \, x^{4}} + \frac{453}{16} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"7/2*sqrt(x^4 + 5*x^2 + 3)*x^2 + 1/6*(x^4 + 5*x^2 + 3)^(3/2) - 127/8*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) + 197/8*sqrt(x^4 + 5*x^2 + 3) - 23/12*(x^4 + 5*x^2 + 3)^(3/2)/x^2 - 1/6*(x^4 + 5*x^2 + 3)^(5/2)/x^4 + 453/16*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
162,1,154,0,1.584549," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(3/2)/x^7,x, algorithm=""maxima"")","\frac{67}{36} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} + \frac{11}{54} \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} - \frac{527}{72} \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) + \frac{431}{36} \, \sqrt{x^{4} + 5 \, x^{2} + 3} - \frac{79 \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}{108 \, x^{2}} - \frac{11 \, {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{5}{2}}}{54 \, x^{4}} - \frac{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{5}{2}}}{9 \, x^{6}} + \frac{49}{4} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"67/36*sqrt(x^4 + 5*x^2 + 3)*x^2 + 11/54*(x^4 + 5*x^2 + 3)^(3/2) - 527/72*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) + 431/36*sqrt(x^4 + 5*x^2 + 3) - 79/108*(x^4 + 5*x^2 + 3)^(3/2)/x^2 - 11/54*(x^4 + 5*x^2 + 3)^(5/2)/x^4 - 1/9*(x^4 + 5*x^2 + 3)^(5/2)/x^6 + 49/4*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
163,0,0,0,0.000000," ","integrate(x^4*(3*x^2+2)*(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} {\left(3 \, x^{2} + 2\right)} x^{4}\,{d x}"," ",0,"integrate((x^4 + 5*x^2 + 3)^(3/2)*(3*x^2 + 2)*x^4, x)","F",0
164,0,0,0,0.000000," ","integrate(x^2*(3*x^2+2)*(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} {\left(3 \, x^{2} + 2\right)} x^{2}\,{d x}"," ",0,"integrate((x^4 + 5*x^2 + 3)^(3/2)*(3*x^2 + 2)*x^2, x)","F",0
165,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","\int {\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} {\left(3 \, x^{2} + 2\right)}\,{d x}"," ",0,"integrate((x^4 + 5*x^2 + 3)^(3/2)*(3*x^2 + 2), x)","F",0
166,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(3/2)/x^2,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} {\left(3 \, x^{2} + 2\right)}}{x^{2}}\,{d x}"," ",0,"integrate((x^4 + 5*x^2 + 3)^(3/2)*(3*x^2 + 2)/x^2, x)","F",0
167,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(3/2)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} {\left(3 \, x^{2} + 2\right)}}{x^{4}}\,{d x}"," ",0,"integrate((x^4 + 5*x^2 + 3)^(3/2)*(3*x^2 + 2)/x^4, x)","F",0
168,0,0,0,0.000000," ","integrate((3*x^2+2)*(x^4+5*x^2+3)^(3/2)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} {\left(3 \, x^{2} + 2\right)}}{x^{6}}\,{d x}"," ",0,"integrate((x^4 + 5*x^2 + 3)^(3/2)*(3*x^2 + 2)/x^6, x)","F",0
169,-2,0,0,0.000000," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2+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
170,-2,0,0,0.000000," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2+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
171,-2,0,0,0.000000," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2+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
172,-2,0,0,0.000000," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2+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
173,-2,0,0,0.000000," ","integrate((B*x^2+A)/x^3/(c*x^4+b*x^2+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
174,-2,0,0,0.000000," ","integrate((B*x^2+A)/x^5/(c*x^4+b*x^2+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
175,-2,0,0,0.000000," ","integrate((B*x^2+A)/x^7/(c*x^4+b*x^2+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
176,0,0,0,0.000000," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{4}}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^4/sqrt(c*x^4 + b*x^2 + a), x)","F",0
177,0,0,0,0.000000," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{2}}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^2/sqrt(c*x^4 + b*x^2 + a), x)","F",0
178,0,0,0,0.000000," ","integrate((B*x^2+A)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((B*x^2 + A)/sqrt(c*x^4 + b*x^2 + a), x)","F",0
179,0,0,0,0.000000," ","integrate((B*x^2+A)/x^2/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2} + a} x^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + b*x^2 + a)*x^2), x)","F",0
180,0,0,0,0.000000," ","integrate((B*x^2+A)/x^4/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2} + a} x^{4}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + b*x^2 + a)*x^4), x)","F",0
181,1,90,0,0.926230," ","integrate(x^7*(3*x^2+2)/(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\frac{3}{8} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{6} - \frac{89}{48} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{4} + \frac{1901}{192} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} - \frac{8081}{128} \, \sqrt{x^{4} + 5 \, x^{2} + 3} + \frac{32801}{256} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"3/8*sqrt(x^4 + 5*x^2 + 3)*x^6 - 89/48*sqrt(x^4 + 5*x^2 + 3)*x^4 + 1901/192*sqrt(x^4 + 5*x^2 + 3)*x^2 - 8081/128*sqrt(x^4 + 5*x^2 + 3) + 32801/256*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
182,1,73,0,0.988219," ","integrate(x^5*(3*x^2+2)/(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{4} - \frac{21}{8} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} + \frac{267}{16} \, \sqrt{x^{4} + 5 \, x^{2} + 3} - \frac{1083}{32} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"1/2*sqrt(x^4 + 5*x^2 + 3)*x^4 - 21/8*sqrt(x^4 + 5*x^2 + 3)*x^2 + 267/16*sqrt(x^4 + 5*x^2 + 3) - 1083/32*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
183,1,56,0,1.039539," ","integrate(x^3*(3*x^2+2)/(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\frac{3}{4} \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2} - \frac{37}{8} \, \sqrt{x^{4} + 5 \, x^{2} + 3} + \frac{149}{16} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"3/4*sqrt(x^4 + 5*x^2 + 3)*x^2 - 37/8*sqrt(x^4 + 5*x^2 + 3) + 149/16*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
184,1,39,0,0.923178," ","integrate(x*(3*x^2+2)/(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\frac{3}{2} \, \sqrt{x^{4} + 5 \, x^{2} + 3} - \frac{11}{4} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"3/2*sqrt(x^4 + 5*x^2 + 3) - 11/4*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
185,1,58,0,1.928836," ","integrate((3*x^2+2)/x/(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) + \frac{3}{2} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"-1/3*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) + 3/2*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
186,1,51,0,2.021056," ","integrate((3*x^2+2)/x^3/(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","-\frac{2}{9} \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) - \frac{\sqrt{x^{4} + 5 \, x^{2} + 3}}{3 \, x^{2}}"," ",0,"-2/9*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) - 1/3*sqrt(x^4 + 5*x^2 + 3)/x^2","A",0
187,1,68,0,1.999701," ","integrate((3*x^2+2)/x^5/(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\frac{1}{8} \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) - \frac{\sqrt{x^{4} + 5 \, x^{2} + 3}}{12 \, x^{2}} - \frac{\sqrt{x^{4} + 5 \, x^{2} + 3}}{6 \, x^{4}}"," ",0,"1/8*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) - 1/12*sqrt(x^4 + 5*x^2 + 3)/x^2 - 1/6*sqrt(x^4 + 5*x^2 + 3)/x^4","A",0
188,1,85,0,1.980789," ","integrate((3*x^2+2)/x^7/(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","-\frac{61}{648} \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) + \frac{13 \, \sqrt{x^{4} + 5 \, x^{2} + 3}}{108 \, x^{2}} - \frac{\sqrt{x^{4} + 5 \, x^{2} + 3}}{54 \, x^{4}} - \frac{\sqrt{x^{4} + 5 \, x^{2} + 3}}{9 \, x^{6}}"," ",0,"-61/648*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) + 13/108*sqrt(x^4 + 5*x^2 + 3)/x^2 - 1/54*sqrt(x^4 + 5*x^2 + 3)/x^4 - 1/9*sqrt(x^4 + 5*x^2 + 3)/x^6","A",0
189,0,0,0,0.000000," ","integrate(x^4*(3*x^2+2)/(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{2} + 2\right)} x^{4}}{\sqrt{x^{4} + 5 \, x^{2} + 3}}\,{d x}"," ",0,"integrate((3*x^2 + 2)*x^4/sqrt(x^4 + 5*x^2 + 3), x)","F",0
190,0,0,0,0.000000," ","integrate(x^2*(3*x^2+2)/(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{2} + 2\right)} x^{2}}{\sqrt{x^{4} + 5 \, x^{2} + 3}}\,{d x}"," ",0,"integrate((3*x^2 + 2)*x^2/sqrt(x^4 + 5*x^2 + 3), x)","F",0
191,0,0,0,0.000000," ","integrate((3*x^2+2)/(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{2} + 2}{\sqrt{x^{4} + 5 \, x^{2} + 3}}\,{d x}"," ",0,"integrate((3*x^2 + 2)/sqrt(x^4 + 5*x^2 + 3), x)","F",0
192,0,0,0,0.000000," ","integrate((3*x^2+2)/x^2/(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{2} + 2}{\sqrt{x^{4} + 5 \, x^{2} + 3} x^{2}}\,{d x}"," ",0,"integrate((3*x^2 + 2)/(sqrt(x^4 + 5*x^2 + 3)*x^2), x)","F",0
193,0,0,0,0.000000," ","integrate((3*x^2+2)/x^4/(x^4+5*x^2+3)^(1/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{2} + 2}{\sqrt{x^{4} + 5 \, x^{2} + 3} x^{4}}\,{d x}"," ",0,"integrate((3*x^2 + 2)/(sqrt(x^4 + 5*x^2 + 3)*x^4), x)","F",0
194,1,73,0,0.922839," ","integrate(x^5*(3*x^2+2)/(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","\frac{3 \, x^{4}}{2 \, \sqrt{x^{4} + 5 \, x^{2} + 3}} + \frac{599 \, x^{2}}{26 \, \sqrt{x^{4} + 5 \, x^{2} + 3}} + \frac{399}{26 \, \sqrt{x^{4} + 5 \, x^{2} + 3}} - \frac{41}{4} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"3/2*x^4/sqrt(x^4 + 5*x^2 + 3) + 599/26*x^2/sqrt(x^4 + 5*x^2 + 3) + 399/26/sqrt(x^4 + 5*x^2 + 3) - 41/4*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
195,1,56,0,0.932825," ","integrate(x^3*(3*x^2+2)/(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","-\frac{47 \, x^{2}}{13 \, \sqrt{x^{4} + 5 \, x^{2} + 3}} - \frac{33}{13 \, \sqrt{x^{4} + 5 \, x^{2} + 3}} + \frac{3}{2} \, \log\left(2 \, x^{2} + 2 \, \sqrt{x^{4} + 5 \, x^{2} + 3} + 5\right)"," ",0,"-47/13*x^2/sqrt(x^4 + 5*x^2 + 3) - 33/13/sqrt(x^4 + 5*x^2 + 3) + 3/2*log(2*x^2 + 2*sqrt(x^4 + 5*x^2 + 3) + 5)","A",0
196,1,32,0,0.937573," ","integrate(x*(3*x^2+2)/(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","\frac{11 \, x^{2}}{13 \, \sqrt{x^{4} + 5 \, x^{2} + 3}} + \frac{8}{13 \, \sqrt{x^{4} + 5 \, x^{2} + 3}}"," ",0,"11/13*x^2/sqrt(x^4 + 5*x^2 + 3) + 8/13/sqrt(x^4 + 5*x^2 + 3)","A",0
197,1,65,0,2.006372," ","integrate((3*x^2+2)/x/(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","-\frac{8 \, x^{2}}{39 \, \sqrt{x^{4} + 5 \, x^{2} + 3}} - \frac{1}{9} \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) - \frac{7}{39 \, \sqrt{x^{4} + 5 \, x^{2} + 3}}"," ",0,"-8/39*x^2/sqrt(x^4 + 5*x^2 + 3) - 1/9*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) - 7/39/sqrt(x^4 + 5*x^2 + 3)","A",0
198,1,82,0,2.087932," ","integrate((3*x^2+2)/x^3/(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, x^{2}}{39 \, \sqrt{x^{4} + 5 \, x^{2} + 3}} + \frac{1}{9} \, \sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{x^{4} + 5 \, x^{2} + 3}}{x^{2}} + \frac{6}{x^{2}} + 5\right) - \frac{6}{13 \, \sqrt{x^{4} + 5 \, x^{2} + 3}} - \frac{1}{3 \, \sqrt{x^{4} + 5 \, x^{2} + 3} x^{2}}"," ",0,"-2/39*x^2/sqrt(x^4 + 5*x^2 + 3) + 1/9*sqrt(3)*log(2*sqrt(3)*sqrt(x^4 + 5*x^2 + 3)/x^2 + 6/x^2 + 5) - 6/13/sqrt(x^4 + 5*x^2 + 3) - 1/3/(sqrt(x^4 + 5*x^2 + 3)*x^2)","A",0
199,0,0,0,0.000000," ","integrate(x^4*(3*x^2+2)/(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{2} + 2\right)} x^{4}}{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x^2 + 2)*x^4/(x^4 + 5*x^2 + 3)^(3/2), x)","F",0
200,0,0,0,0.000000," ","integrate(x^2*(3*x^2+2)/(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(3 \, x^{2} + 2\right)} x^{2}}{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x^2 + 2)*x^2/(x^4 + 5*x^2 + 3)^(3/2), x)","F",0
201,0,0,0,0.000000," ","integrate((3*x^2+2)/(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{2} + 2}{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((3*x^2 + 2)/(x^4 + 5*x^2 + 3)^(3/2), x)","F",0
202,0,0,0,0.000000," ","integrate((3*x^2+2)/x^2/(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{2} + 2}{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate((3*x^2 + 2)/((x^4 + 5*x^2 + 3)^(3/2)*x^2), x)","F",0
203,0,0,0,0.000000," ","integrate((3*x^2+2)/x^4/(x^4+5*x^2+3)^(3/2),x, algorithm=""maxima"")","\int \frac{3 \, x^{2} + 2}{{\left(x^{4} + 5 \, x^{2} + 3\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate((3*x^2 + 2)/((x^4 + 5*x^2 + 3)^(3/2)*x^4), x)","F",0
204,0,0,0,0.000000," ","integrate((f*x)^(3/2)*(e*x^2+d)*(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)} \left(f x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)*(f*x)^(3/2), x)","F",0
205,0,0,0,0.000000," ","integrate((f*x)^(1/2)*(e*x^2+d)*(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)} \sqrt{f x}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)*sqrt(f*x), x)","F",0
206,0,0,0,0.000000," ","integrate((e*x^2+d)*(c*x^4+b*x^2+a)^(1/2)/(f*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)}}{\sqrt{f x}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)/sqrt(f*x), x)","F",0
207,0,0,0,0.000000," ","integrate((e*x^2+d)*(c*x^4+b*x^2+a)^(1/2)/(f*x)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)}}{\left(f x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)/(f*x)^(3/2), x)","F",0
208,0,0,0,0.000000," ","integrate((f*x)^(3/2)*(e*x^2+d)*(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)} \left(f x\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2 + a)^(3/2)*(e*x^2 + d)*(f*x)^(3/2), x)","F",0
209,0,0,0,0.000000," ","integrate((f*x)^(1/2)*(e*x^2+d)*(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)} \sqrt{f x}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2 + a)^(3/2)*(e*x^2 + d)*sqrt(f*x), x)","F",0
210,0,0,0,0.000000," ","integrate((e*x^2+d)*(c*x^4+b*x^2+a)^(3/2)/(f*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)}}{\sqrt{f x}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2 + a)^(3/2)*(e*x^2 + d)/sqrt(f*x), x)","F",0
211,0,0,0,0.000000," ","integrate((e*x^2+d)*(c*x^4+b*x^2+a)^(3/2)/(f*x)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)}}{\left(f x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2 + a)^(3/2)*(e*x^2 + d)/(f*x)^(3/2), x)","F",0
212,0,0,0,0.000000," ","integrate((f*x)^(3/2)*(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)} \left(f x\right)^{\frac{3}{2}}}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)*(f*x)^(3/2)/sqrt(c*x^4 + b*x^2 + a), x)","F",0
213,0,0,0,0.000000," ","integrate((f*x)^(1/2)*(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)} \sqrt{f x}}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)*sqrt(f*x)/sqrt(c*x^4 + b*x^2 + a), x)","F",0
214,0,0,0,0.000000," ","integrate((e*x^2+d)/(f*x)^(1/2)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{\sqrt{c x^{4} + b x^{2} + a} \sqrt{f x}}\,{d x}"," ",0,"integrate((e*x^2 + d)/(sqrt(c*x^4 + b*x^2 + a)*sqrt(f*x)), x)","F",0
215,0,0,0,0.000000," ","integrate((e*x^2+d)/(f*x)^(3/2)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{\sqrt{c x^{4} + b x^{2} + a} \left(f x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x^2 + d)/(sqrt(c*x^4 + b*x^2 + a)*(f*x)^(3/2)), x)","F",0
216,0,0,0,0.000000," ","integrate((f*x)^(3/2)*(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)} \left(f x\right)^{\frac{3}{2}}}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x^2 + d)*(f*x)^(3/2)/(c*x^4 + b*x^2 + a)^(3/2), x)","F",0
217,0,0,0,0.000000," ","integrate((f*x)^(1/2)*(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)} \sqrt{f x}}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x^2 + d)*sqrt(f*x)/(c*x^4 + b*x^2 + a)^(3/2), x)","F",0
218,0,0,0,0.000000," ","integrate((e*x^2+d)/(f*x)^(1/2)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} \sqrt{f x}}\,{d x}"," ",0,"integrate((e*x^2 + d)/((c*x^4 + b*x^2 + a)^(3/2)*sqrt(f*x)), x)","F",0
219,0,0,0,0.000000," ","integrate((e*x^2+d)/(f*x)^(3/2)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{e x^{2} + d}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} \left(f x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x^2 + d)/((c*x^4 + b*x^2 + a)^(3/2)*(f*x)^(3/2)), x)","F",0
220,1,408,0,1.387892," ","integrate((f*x)^m*(e*x^2+d)*(c*x^4+b*x^2+a)^3,x, algorithm=""maxima"")","\frac{c^{3} e f^{m} x^{15} x^{m}}{m + 15} + \frac{c^{3} d f^{m} x^{13} x^{m}}{m + 13} + \frac{3 \, b c^{2} e f^{m} x^{13} x^{m}}{m + 13} + \frac{3 \, b c^{2} d f^{m} x^{11} x^{m}}{m + 11} + \frac{3 \, b^{2} c e f^{m} x^{11} x^{m}}{m + 11} + \frac{3 \, a c^{2} e f^{m} x^{11} x^{m}}{m + 11} + \frac{3 \, b^{2} c d f^{m} x^{9} x^{m}}{m + 9} + \frac{3 \, a c^{2} d f^{m} x^{9} x^{m}}{m + 9} + \frac{b^{3} e f^{m} x^{9} x^{m}}{m + 9} + \frac{6 \, a b c e f^{m} x^{9} x^{m}}{m + 9} + \frac{b^{3} d f^{m} x^{7} x^{m}}{m + 7} + \frac{6 \, a b c d f^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, a b^{2} e f^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, a^{2} c e f^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, a b^{2} d f^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, a^{2} c d f^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, a^{2} b e f^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, a^{2} b d f^{m} x^{3} x^{m}}{m + 3} + \frac{a^{3} e f^{m} x^{3} x^{m}}{m + 3} + \frac{\left(f x\right)^{m + 1} a^{3} d}{f {\left(m + 1\right)}}"," ",0,"c^3*e*f^m*x^15*x^m/(m + 15) + c^3*d*f^m*x^13*x^m/(m + 13) + 3*b*c^2*e*f^m*x^13*x^m/(m + 13) + 3*b*c^2*d*f^m*x^11*x^m/(m + 11) + 3*b^2*c*e*f^m*x^11*x^m/(m + 11) + 3*a*c^2*e*f^m*x^11*x^m/(m + 11) + 3*b^2*c*d*f^m*x^9*x^m/(m + 9) + 3*a*c^2*d*f^m*x^9*x^m/(m + 9) + b^3*e*f^m*x^9*x^m/(m + 9) + 6*a*b*c*e*f^m*x^9*x^m/(m + 9) + b^3*d*f^m*x^7*x^m/(m + 7) + 6*a*b*c*d*f^m*x^7*x^m/(m + 7) + 3*a*b^2*e*f^m*x^7*x^m/(m + 7) + 3*a^2*c*e*f^m*x^7*x^m/(m + 7) + 3*a*b^2*d*f^m*x^5*x^m/(m + 5) + 3*a^2*c*d*f^m*x^5*x^m/(m + 5) + 3*a^2*b*e*f^m*x^5*x^m/(m + 5) + 3*a^2*b*d*f^m*x^3*x^m/(m + 3) + a^3*e*f^m*x^3*x^m/(m + 3) + (f*x)^(m + 1)*a^3*d/(f*(m + 1))","A",0
221,1,230,0,1.221355," ","integrate((f*x)^m*(e*x^2+d)*(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\frac{c^{2} e f^{m} x^{11} x^{m}}{m + 11} + \frac{c^{2} d f^{m} x^{9} x^{m}}{m + 9} + \frac{2 \, b c e f^{m} x^{9} x^{m}}{m + 9} + \frac{2 \, b c d f^{m} x^{7} x^{m}}{m + 7} + \frac{b^{2} e f^{m} x^{7} x^{m}}{m + 7} + \frac{2 \, a c e f^{m} x^{7} x^{m}}{m + 7} + \frac{b^{2} d f^{m} x^{5} x^{m}}{m + 5} + \frac{2 \, a c d f^{m} x^{5} x^{m}}{m + 5} + \frac{2 \, a b e f^{m} x^{5} x^{m}}{m + 5} + \frac{2 \, a b d f^{m} x^{3} x^{m}}{m + 3} + \frac{a^{2} e f^{m} x^{3} x^{m}}{m + 3} + \frac{\left(f x\right)^{m + 1} a^{2} d}{f {\left(m + 1\right)}}"," ",0,"c^2*e*f^m*x^11*x^m/(m + 11) + c^2*d*f^m*x^9*x^m/(m + 9) + 2*b*c*e*f^m*x^9*x^m/(m + 9) + 2*b*c*d*f^m*x^7*x^m/(m + 7) + b^2*e*f^m*x^7*x^m/(m + 7) + 2*a*c*e*f^m*x^7*x^m/(m + 7) + b^2*d*f^m*x^5*x^m/(m + 5) + 2*a*c*d*f^m*x^5*x^m/(m + 5) + 2*a*b*e*f^m*x^5*x^m/(m + 5) + 2*a*b*d*f^m*x^3*x^m/(m + 3) + a^2*e*f^m*x^3*x^m/(m + 3) + (f*x)^(m + 1)*a^2*d/(f*(m + 1))","A",0
222,1,104,0,1.058243," ","integrate((f*x)^m*(e*x^2+d)*(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{c e f^{m} x^{7} x^{m}}{m + 7} + \frac{c d f^{m} x^{5} x^{m}}{m + 5} + \frac{b e f^{m} x^{5} x^{m}}{m + 5} + \frac{b d f^{m} x^{3} x^{m}}{m + 3} + \frac{a e f^{m} x^{3} x^{m}}{m + 3} + \frac{\left(f x\right)^{m + 1} a d}{f {\left(m + 1\right)}}"," ",0,"c*e*f^m*x^7*x^m/(m + 7) + c*d*f^m*x^5*x^m/(m + 5) + b*e*f^m*x^5*x^m/(m + 5) + b*d*f^m*x^3*x^m/(m + 3) + a*e*f^m*x^3*x^m/(m + 3) + (f*x)^(m + 1)*a*d/(f*(m + 1))","A",0
223,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)} \left(f x\right)^{m}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)*(f*x)^m/(c*x^4 + b*x^2 + a), x)","F",0
224,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)/(c*x^4+b*x^2+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)} \left(f x\right)^{m}}{{\left(c x^{4} + b x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*x^2 + d)*(f*x)^m/(c*x^4 + b*x^2 + a)^2, x)","F",0
225,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)*(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)} \left(f x\right)^{m}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2 + a)^(3/2)*(e*x^2 + d)*(f*x)^m, x)","F",0
226,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)*(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)} \left(f x\right)^{m}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)*(f*x)^m, x)","F",0
227,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)} \left(f x\right)^{m}}{\sqrt{c x^{4} + b x^{2} + a}}\,{d x}"," ",0,"integrate((e*x^2 + d)*(f*x)^m/sqrt(c*x^4 + b*x^2 + a), x)","F",0
228,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)} \left(f x\right)^{m}}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((e*x^2 + d)*(f*x)^m/(c*x^4 + b*x^2 + a)^(3/2), x)","F",0
229,1,120,0,1.998072," ","integrate(x^9/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","\frac{d^{4} \log\left(e x^{2} + d\right)}{2 \, {\left(c d^{2} e^{3} + a e^{5}\right)}} - \frac{a^{2} e \log\left(c x^{4} + a\right)}{4 \, {\left(c^{3} d^{2} + a c^{2} e^{2}\right)}} + \frac{a^{2} d \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{2 \, {\left(c^{2} d^{2} + a c e^{2}\right)} \sqrt{a c}} + \frac{e x^{4} - 2 \, d x^{2}}{4 \, c e^{2}}"," ",0,"1/2*d^4*log(e*x^2 + d)/(c*d^2*e^3 + a*e^5) - 1/4*a^2*e*log(c*x^4 + a)/(c^3*d^2 + a*c^2*e^2) + 1/2*a^2*d*arctan(c*x^2/sqrt(a*c))/((c^2*d^2 + a*c*e^2)*sqrt(a*c)) + 1/4*(e*x^4 - 2*d*x^2)/(c*e^2)","A",0
230,1,107,0,2.018365," ","integrate(x^7/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","-\frac{d^{3} \log\left(e x^{2} + d\right)}{2 \, {\left(c d^{2} e^{2} + a e^{4}\right)}} - \frac{a^{2} e \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{2 \, {\left(c^{2} d^{2} + a c e^{2}\right)} \sqrt{a c}} - \frac{a d \log\left(c x^{4} + a\right)}{4 \, {\left(c^{2} d^{2} + a c e^{2}\right)}} + \frac{x^{2}}{2 \, c e}"," ",0,"-1/2*d^3*log(e*x^2 + d)/(c*d^2*e^2 + a*e^4) - 1/2*a^2*e*arctan(c*x^2/sqrt(a*c))/((c^2*d^2 + a*c*e^2)*sqrt(a*c)) - 1/4*a*d*log(c*x^4 + a)/(c^2*d^2 + a*c*e^2) + 1/2*x^2/(c*e)","A",0
231,1,89,0,1.998446," ","integrate(x^5/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","\frac{a e \log\left(c x^{4} + a\right)}{4 \, {\left(c^{2} d^{2} + a c e^{2}\right)}} + \frac{d^{2} \log\left(e x^{2} + d\right)}{2 \, {\left(c d^{2} e + a e^{3}\right)}} - \frac{a d \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{2 \, {\left(c d^{2} + a e^{2}\right)} \sqrt{a c}}"," ",0,"1/4*a*e*log(c*x^4 + a)/(c^2*d^2 + a*c*e^2) + 1/2*d^2*log(e*x^2 + d)/(c*d^2*e + a*e^3) - 1/2*a*d*arctan(c*x^2/sqrt(a*c))/((c*d^2 + a*e^2)*sqrt(a*c))","A",0
232,1,82,0,1.985001," ","integrate(x^3/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","\frac{a e \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{2 \, {\left(c d^{2} + a e^{2}\right)} \sqrt{a c}} + \frac{d \log\left(c x^{4} + a\right)}{4 \, {\left(c d^{2} + a e^{2}\right)}} - \frac{d \log\left(e x^{2} + d\right)}{2 \, {\left(c d^{2} + a e^{2}\right)}}"," ",0,"1/2*a*e*arctan(c*x^2/sqrt(a*c))/((c*d^2 + a*e^2)*sqrt(a*c)) + 1/4*d*log(c*x^4 + a)/(c*d^2 + a*e^2) - 1/2*d*log(e*x^2 + d)/(c*d^2 + a*e^2)","A",0
233,1,82,0,1.984628," ","integrate(x/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","\frac{c d \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{2 \, {\left(c d^{2} + a e^{2}\right)} \sqrt{a c}} - \frac{e \log\left(c x^{4} + a\right)}{4 \, {\left(c d^{2} + a e^{2}\right)}} + \frac{e \log\left(e x^{2} + d\right)}{2 \, {\left(c d^{2} + a e^{2}\right)}}"," ",0,"1/2*c*d*arctan(c*x^2/sqrt(a*c))/((c*d^2 + a*e^2)*sqrt(a*c)) - 1/4*e*log(c*x^4 + a)/(c*d^2 + a*e^2) + 1/2*e*log(e*x^2 + d)/(c*d^2 + a*e^2)","A",0
234,1,101,0,1.965653," ","integrate(1/x/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","-\frac{c d \log\left(c x^{4} + a\right)}{4 \, {\left(a c d^{2} + a^{2} e^{2}\right)}} - \frac{e^{2} \log\left(e x^{2} + d\right)}{2 \, {\left(c d^{3} + a d e^{2}\right)}} - \frac{c e \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{2 \, {\left(c d^{2} + a e^{2}\right)} \sqrt{a c}} + \frac{\log\left(x^{2}\right)}{2 \, a d}"," ",0,"-1/4*c*d*log(c*x^4 + a)/(a*c*d^2 + a^2*e^2) - 1/2*e^2*log(e*x^2 + d)/(c*d^3 + a*d*e^2) - 1/2*c*e*arctan(c*x^2/sqrt(a*c))/((c*d^2 + a*e^2)*sqrt(a*c)) + 1/2*log(x^2)/(a*d)","A",0
235,1,120,0,1.997372," ","integrate(1/x^3/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","\frac{e^{3} \log\left(e x^{2} + d\right)}{2 \, {\left(c d^{4} + a d^{2} e^{2}\right)}} - \frac{c^{2} d \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{2 \, {\left(a c d^{2} + a^{2} e^{2}\right)} \sqrt{a c}} + \frac{c e \log\left(c x^{4} + a\right)}{4 \, {\left(a c d^{2} + a^{2} e^{2}\right)}} - \frac{e \log\left(x^{2}\right)}{2 \, a d^{2}} - \frac{1}{2 \, a d x^{2}}"," ",0,"1/2*e^3*log(e*x^2 + d)/(c*d^4 + a*d^2*e^2) - 1/2*c^2*d*arctan(c*x^2/sqrt(a*c))/((a*c*d^2 + a^2*e^2)*sqrt(a*c)) + 1/4*c*e*log(c*x^4 + a)/(a*c*d^2 + a^2*e^2) - 1/2*e*log(x^2)/(a*d^2) - 1/2/(a*d*x^2)","A",0
236,1,145,0,2.049886," ","integrate(1/x^5/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","-\frac{e^{4} \log\left(e x^{2} + d\right)}{2 \, {\left(c d^{5} + a d^{3} e^{2}\right)}} + \frac{c^{2} d \log\left(c x^{4} + a\right)}{4 \, {\left(a^{2} c d^{2} + a^{3} e^{2}\right)}} + \frac{c^{2} e \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{2 \, {\left(a c d^{2} + a^{2} e^{2}\right)} \sqrt{a c}} - \frac{{\left(c d^{2} - a e^{2}\right)} \log\left(x^{2}\right)}{2 \, a^{2} d^{3}} + \frac{2 \, e x^{2} - d}{4 \, a d^{2} x^{4}}"," ",0,"-1/2*e^4*log(e*x^2 + d)/(c*d^5 + a*d^3*e^2) + 1/4*c^2*d*log(c*x^4 + a)/(a^2*c*d^2 + a^3*e^2) + 1/2*c^2*e*arctan(c*x^2/sqrt(a*c))/((a*c*d^2 + a^2*e^2)*sqrt(a*c)) - 1/2*(c*d^2 - a*e^2)*log(x^2)/(a^2*d^3) + 1/4*(2*e*x^2 - d)/(a*d^2*x^4)","A",0
237,1,294,0,2.048190," ","integrate(x^8/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","\frac{d^{4} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{2} e^{2} + a e^{4}\right)} \sqrt{d e}} + \frac{a^{2} {\left(\frac{2 \, \sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{8 \, {\left(c^{2} d^{2} + a c e^{2}\right)}} + \frac{e x^{3} - 3 \, d x}{3 \, c e^{2}}"," ",0,"d^4*arctan(e*x/sqrt(d*e))/((c*d^2*e^2 + a*e^4)*sqrt(d*e)) + 1/8*a^2*(2*sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(c^2*d^2 + a*c*e^2) + 1/3*(e*x^3 - 3*d*x)/(c*e^2)","A",0
238,1,289,0,2.089022," ","integrate(x^6/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","-\frac{d^{3} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{2} e + a e^{3}\right)} \sqrt{d e}} - \frac{a {\left(\frac{2 \, \sqrt{2} {\left(\sqrt{a} c d + a \sqrt{c} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(\sqrt{a} c d + a \sqrt{c} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(\sqrt{a} c d - a \sqrt{c} e\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(\sqrt{a} c d - a \sqrt{c} e\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{8 \, {\left(c^{2} d^{2} + a c e^{2}\right)}} + \frac{x}{c e}"," ",0,"-d^3*arctan(e*x/sqrt(d*e))/((c*d^2*e + a*e^3)*sqrt(d*e)) - 1/8*a*(2*sqrt(2)*(sqrt(a)*c*d + a*sqrt(c)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(sqrt(a)*c*d + a*sqrt(c)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(sqrt(a)*c*d - a*sqrt(c)*e)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(sqrt(a)*c*d - a*sqrt(c)*e)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(c^2*d^2 + a*c*e^2) + x/(c*e)","A",0
239,1,268,0,2.627251," ","integrate(x^4/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","\frac{d^{2} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{2} + a e^{2}\right)} \sqrt{d e}} - \frac{a {\left(\frac{2 \, \sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{8 \, {\left(c d^{2} + a e^{2}\right)}}"," ",0,"d^2*arctan(e*x/sqrt(d*e))/((c*d^2 + a*e^2)*sqrt(d*e)) - 1/8*a*(2*sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(c*d^2 + a*e^2)","A",0
240,1,275,0,1.426646," ","integrate(x^2/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","-\frac{d e \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{2} + a e^{2}\right)} \sqrt{d e}} + \frac{\frac{2 \, \sqrt{2} {\left(\sqrt{a} c d + a \sqrt{c} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(\sqrt{a} c d + a \sqrt{c} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(\sqrt{a} c d - a \sqrt{c} e\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(\sqrt{a} c d - a \sqrt{c} e\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{8 \, {\left(c d^{2} + a e^{2}\right)}}"," ",0,"-d*e*arctan(e*x/sqrt(d*e))/((c*d^2 + a*e^2)*sqrt(d*e)) + 1/8*(2*sqrt(2)*(sqrt(a)*c*d + a*sqrt(c)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(sqrt(a)*c*d + a*sqrt(c)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(sqrt(a)*c*d - a*sqrt(c)*e)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(sqrt(a)*c*d - a*sqrt(c)*e)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(c*d^2 + a*e^2)","A",0
241,1,268,0,1.090420," ","integrate(1/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","\frac{e^{2} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{2} + a e^{2}\right)} \sqrt{d e}} + \frac{c {\left(\frac{2 \, \sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{8 \, {\left(c d^{2} + a e^{2}\right)}}"," ",0,"e^2*arctan(e*x/sqrt(d*e))/((c*d^2 + a*e^2)*sqrt(d*e)) + 1/8*c*(2*sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(c*d^2 + a*e^2)","A",0
242,1,292,0,1.274312," ","integrate(1/x^2/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","-\frac{e^{3} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{3} + a d e^{2}\right)} \sqrt{d e}} - \frac{c {\left(\frac{2 \, \sqrt{2} {\left(\sqrt{a} c d + a \sqrt{c} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(\sqrt{a} c d + a \sqrt{c} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(\sqrt{a} c d - a \sqrt{c} e\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(\sqrt{a} c d - a \sqrt{c} e\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{8 \, {\left(a c d^{2} + a^{2} e^{2}\right)}} - \frac{1}{a d x}"," ",0,"-e^3*arctan(e*x/sqrt(d*e))/((c*d^3 + a*d*e^2)*sqrt(d*e)) - 1/8*c*(2*sqrt(2)*(sqrt(a)*c*d + a*sqrt(c)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(sqrt(a)*c*d + a*sqrt(c)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(sqrt(a)*c*d - a*sqrt(c)*e)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(sqrt(a)*c*d - a*sqrt(c)*e)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a*c*d^2 + a^2*e^2) - 1/(a*d*x)","A",0
243,1,297,0,2.122905," ","integrate(1/x^4/(e*x^2+d)/(c*x^4+a),x, algorithm=""maxima"")","\frac{e^{4} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{4} + a d^{2} e^{2}\right)} \sqrt{d e}} - \frac{c^{2} {\left(\frac{2 \, \sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(\sqrt{c} d - \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(\sqrt{c} d + \sqrt{a} e\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{8 \, {\left(a c d^{2} + a^{2} e^{2}\right)}} + \frac{3 \, e x^{2} - d}{3 \, a d^{2} x^{3}}"," ",0,"e^4*arctan(e*x/sqrt(d*e))/((c*d^4 + a*d^2*e^2)*sqrt(d*e)) - 1/8*c^2*(2*sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(sqrt(c)*d - sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(sqrt(c)*d + sqrt(a)*e)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a*c*d^2 + a^2*e^2) + 1/3*(3*e*x^2 - d)/(a*d^2*x^3)","A",0
244,1,220,0,2.075119," ","integrate(x^9/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{d^{4} \log\left(e x^{2} + d\right)}{2 \, {\left(c^{2} d^{4} e + 2 \, a c d^{2} e^{3} + a^{2} e^{5}\right)}} + \frac{{\left(2 \, a c d^{2} e + a^{2} e^{3}\right)} \log\left(c x^{4} + a\right)}{4 \, {\left(c^{4} d^{4} + 2 \, a c^{3} d^{2} e^{2} + a^{2} c^{2} e^{4}\right)}} - \frac{{\left(3 \, a c d^{3} + a^{2} d e^{2}\right)} \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{4 \, {\left(c^{3} d^{4} + 2 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}\right)} \sqrt{a c}} + \frac{a c d x^{2} + a^{2} e}{4 \, {\left(a c^{3} d^{2} + a^{2} c^{2} e^{2} + {\left(c^{4} d^{2} + a c^{3} e^{2}\right)} x^{4}\right)}}"," ",0,"1/2*d^4*log(e*x^2 + d)/(c^2*d^4*e + 2*a*c*d^2*e^3 + a^2*e^5) + 1/4*(2*a*c*d^2*e + a^2*e^3)*log(c*x^4 + a)/(c^4*d^4 + 2*a*c^3*d^2*e^2 + a^2*c^2*e^4) - 1/4*(3*a*c*d^3 + a^2*d*e^2)*arctan(c*x^2/sqrt(a*c))/((c^3*d^4 + 2*a*c^2*d^2*e^2 + a^2*c*e^4)*sqrt(a*c)) + 1/4*(a*c*d*x^2 + a^2*e)/(a*c^3*d^2 + a^2*c^2*e^2 + (c^4*d^2 + a*c^3*e^2)*x^4)","A",0
245,1,197,0,2.046512," ","integrate(x^7/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{d^{3} \log\left(c x^{4} + a\right)}{4 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)}} - \frac{d^{3} \log\left(e x^{2} + d\right)}{2 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)}} + \frac{{\left(3 \, a c d^{2} e + a^{2} e^{3}\right)} \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{4 \, {\left(c^{3} d^{4} + 2 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}\right)} \sqrt{a c}} - \frac{a e x^{2} - a d}{4 \, {\left(a c^{2} d^{2} + a^{2} c e^{2} + {\left(c^{3} d^{2} + a c^{2} e^{2}\right)} x^{4}\right)}}"," ",0,"1/4*d^3*log(c*x^4 + a)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) - 1/2*d^3*log(e*x^2 + d)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) + 1/4*(3*a*c*d^2*e + a^2*e^3)*arctan(c*x^2/sqrt(a*c))/((c^3*d^4 + 2*a*c^2*d^2*e^2 + a^2*c*e^4)*sqrt(a*c)) - 1/4*(a*e*x^2 - a*d)/(a*c^2*d^2 + a^2*c*e^2 + (c^3*d^2 + a*c^2*e^2)*x^4)","A",0
246,1,192,0,2.076872," ","integrate(x^5/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{d^{2} e \log\left(c x^{4} + a\right)}{4 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)}} + \frac{d^{2} e \log\left(e x^{2} + d\right)}{2 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)}} + \frac{{\left(c d^{3} - a d e^{2}\right)} \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{4 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \sqrt{a c}} - \frac{c d x^{2} + a e}{4 \, {\left(a c^{2} d^{2} + a^{2} c e^{2} + {\left(c^{3} d^{2} + a c^{2} e^{2}\right)} x^{4}\right)}}"," ",0,"-1/4*d^2*e*log(c*x^4 + a)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) + 1/2*d^2*e*log(e*x^2 + d)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) + 1/4*(c*d^3 - a*d*e^2)*arctan(c*x^2/sqrt(a*c))/((c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*sqrt(a*c)) - 1/4*(c*d*x^2 + a*e)/(a*c^2*d^2 + a^2*c*e^2 + (c^3*d^2 + a*c^2*e^2)*x^4)","A",0
247,1,186,0,2.026868," ","integrate(x^3/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{d e^{2} \log\left(c x^{4} + a\right)}{4 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)}} - \frac{d e^{2} \log\left(e x^{2} + d\right)}{2 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)}} - \frac{{\left(c d^{2} e - a e^{3}\right)} \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{4 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \sqrt{a c}} + \frac{e x^{2} - d}{4 \, {\left({\left(c^{2} d^{2} + a c e^{2}\right)} x^{4} + a c d^{2} + a^{2} e^{2}\right)}}"," ",0,"1/4*d*e^2*log(c*x^4 + a)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) - 1/2*d*e^2*log(e*x^2 + d)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) - 1/4*(c*d^2*e - a*e^3)*arctan(c*x^2/sqrt(a*c))/((c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*sqrt(a*c)) + 1/4*(e*x^2 - d)/((c^2*d^2 + a*c*e^2)*x^4 + a*c*d^2 + a^2*e^2)","A",0
248,1,196,0,2.029526," ","integrate(x/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{e^{3} \log\left(c x^{4} + a\right)}{4 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)}} + \frac{e^{3} \log\left(e x^{2} + d\right)}{2 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)}} + \frac{{\left(c^{2} d^{3} + 3 \, a c d e^{2}\right)} \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{4 \, {\left(a c^{2} d^{4} + 2 \, a^{2} c d^{2} e^{2} + a^{3} e^{4}\right)} \sqrt{a c}} + \frac{c d x^{2} + a e}{4 \, {\left(a^{2} c d^{2} + a^{3} e^{2} + {\left(a c^{2} d^{2} + a^{2} c e^{2}\right)} x^{4}\right)}}"," ",0,"-1/4*e^3*log(c*x^4 + a)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) + 1/2*e^3*log(e*x^2 + d)/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4) + 1/4*(c^2*d^3 + 3*a*c*d*e^2)*arctan(c*x^2/sqrt(a*c))/((a*c^2*d^4 + 2*a^2*c*d^2*e^2 + a^3*e^4)*sqrt(a*c)) + 1/4*(c*d*x^2 + a*e)/(a^2*c*d^2 + a^3*e^2 + (a*c^2*d^2 + a^2*c*e^2)*x^4)","A",0
249,1,228,0,2.053900," ","integrate(1/x/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{e^{4} \log\left(e x^{2} + d\right)}{2 \, {\left(c^{2} d^{5} + 2 \, a c d^{3} e^{2} + a^{2} d e^{4}\right)}} - \frac{{\left(c^{2} d^{3} + 2 \, a c d e^{2}\right)} \log\left(c x^{4} + a\right)}{4 \, {\left(a^{2} c^{2} d^{4} + 2 \, a^{3} c d^{2} e^{2} + a^{4} e^{4}\right)}} - \frac{{\left(c^{2} d^{2} e + 3 \, a c e^{3}\right)} \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{4 \, {\left(a c^{2} d^{4} + 2 \, a^{2} c d^{2} e^{2} + a^{3} e^{4}\right)} \sqrt{a c}} - \frac{c e x^{2} - c d}{4 \, {\left(a^{2} c d^{2} + a^{3} e^{2} + {\left(a c^{2} d^{2} + a^{2} c e^{2}\right)} x^{4}\right)}} + \frac{\log\left(x^{2}\right)}{2 \, a^{2} d}"," ",0,"-1/2*e^4*log(e*x^2 + d)/(c^2*d^5 + 2*a*c*d^3*e^2 + a^2*d*e^4) - 1/4*(c^2*d^3 + 2*a*c*d*e^2)*log(c*x^4 + a)/(a^2*c^2*d^4 + 2*a^3*c*d^2*e^2 + a^4*e^4) - 1/4*(c^2*d^2*e + 3*a*c*e^3)*arctan(c*x^2/sqrt(a*c))/((a*c^2*d^4 + 2*a^2*c*d^2*e^2 + a^3*e^4)*sqrt(a*c)) - 1/4*(c*e*x^2 - c*d)/(a^2*c*d^2 + a^3*e^2 + (a*c^2*d^2 + a^2*c*e^2)*x^4) + 1/2*log(x^2)/(a^2*d)","A",0
250,1,278,0,2.006954," ","integrate(1/x^3/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{e^{5} \log\left(e x^{2} + d\right)}{2 \, {\left(c^{2} d^{6} + 2 \, a c d^{4} e^{2} + a^{2} d^{2} e^{4}\right)}} + \frac{{\left(c^{2} d^{2} e + 2 \, a c e^{3}\right)} \log\left(c x^{4} + a\right)}{4 \, {\left(a^{2} c^{2} d^{4} + 2 \, a^{3} c d^{2} e^{2} + a^{4} e^{4}\right)}} - \frac{{\left(3 \, c^{3} d^{3} + 5 \, a c^{2} d e^{2}\right)} \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{4 \, {\left(a^{2} c^{2} d^{4} + 2 \, a^{3} c d^{2} e^{2} + a^{4} e^{4}\right)} \sqrt{a c}} - \frac{a c d e x^{2} + {\left(3 \, c^{2} d^{2} + 2 \, a c e^{2}\right)} x^{4} + 2 \, a c d^{2} + 2 \, a^{2} e^{2}}{4 \, {\left({\left(a^{2} c^{2} d^{3} + a^{3} c d e^{2}\right)} x^{6} + {\left(a^{3} c d^{3} + a^{4} d e^{2}\right)} x^{2}\right)}} - \frac{e \log\left(x^{2}\right)}{2 \, a^{2} d^{2}}"," ",0,"1/2*e^5*log(e*x^2 + d)/(c^2*d^6 + 2*a*c*d^4*e^2 + a^2*d^2*e^4) + 1/4*(c^2*d^2*e + 2*a*c*e^3)*log(c*x^4 + a)/(a^2*c^2*d^4 + 2*a^3*c*d^2*e^2 + a^4*e^4) - 1/4*(3*c^3*d^3 + 5*a*c^2*d*e^2)*arctan(c*x^2/sqrt(a*c))/((a^2*c^2*d^4 + 2*a^3*c*d^2*e^2 + a^4*e^4)*sqrt(a*c)) - 1/4*(a*c*d*e*x^2 + (3*c^2*d^2 + 2*a*c*e^2)*x^4 + 2*a*c*d^2 + 2*a^2*e^2)/((a^2*c^2*d^3 + a^3*c*d*e^2)*x^6 + (a^3*c*d^3 + a^4*d*e^2)*x^2) - 1/2*e*log(x^2)/(a^2*d^2)","A",0
251,1,332,0,2.081842," ","integrate(1/x^5/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{e^{6} \log\left(e x^{2} + d\right)}{2 \, {\left(c^{2} d^{7} + 2 \, a c d^{5} e^{2} + a^{2} d^{3} e^{4}\right)}} + \frac{{\left(2 \, c^{3} d^{3} + 3 \, a c^{2} d e^{2}\right)} \log\left(c x^{4} + a\right)}{4 \, {\left(a^{3} c^{2} d^{4} + 2 \, a^{4} c d^{2} e^{2} + a^{5} e^{4}\right)}} + \frac{{\left(3 \, c^{3} d^{2} e + 5 \, a c^{2} e^{3}\right)} \arctan\left(\frac{c x^{2}}{\sqrt{a c}}\right)}{4 \, {\left(a^{2} c^{2} d^{4} + 2 \, a^{3} c d^{2} e^{2} + a^{4} e^{4}\right)} \sqrt{a c}} + \frac{{\left(3 \, c^{2} d^{2} e + 2 \, a c e^{3}\right)} x^{6} - a c d^{3} - a^{2} d e^{2} - {\left(2 \, c^{2} d^{3} + a c d e^{2}\right)} x^{4} + 2 \, {\left(a c d^{2} e + a^{2} e^{3}\right)} x^{2}}{4 \, {\left({\left(a^{2} c^{2} d^{4} + a^{3} c d^{2} e^{2}\right)} x^{8} + {\left(a^{3} c d^{4} + a^{4} d^{2} e^{2}\right)} x^{4}\right)}} - \frac{{\left(2 \, c d^{2} - a e^{2}\right)} \log\left(x^{2}\right)}{2 \, a^{3} d^{3}}"," ",0,"-1/2*e^6*log(e*x^2 + d)/(c^2*d^7 + 2*a*c*d^5*e^2 + a^2*d^3*e^4) + 1/4*(2*c^3*d^3 + 3*a*c^2*d*e^2)*log(c*x^4 + a)/(a^3*c^2*d^4 + 2*a^4*c*d^2*e^2 + a^5*e^4) + 1/4*(3*c^3*d^2*e + 5*a*c^2*e^3)*arctan(c*x^2/sqrt(a*c))/((a^2*c^2*d^4 + 2*a^3*c*d^2*e^2 + a^4*e^4)*sqrt(a*c)) + 1/4*((3*c^2*d^2*e + 2*a*c*e^3)*x^6 - a*c*d^3 - a^2*d*e^2 - (2*c^2*d^3 + a*c*d*e^2)*x^4 + 2*(a*c*d^2*e + a^2*e^3)*x^2)/((a^2*c^2*d^4 + a^3*c*d^2*e^2)*x^8 + (a^3*c*d^4 + a^4*d^2*e^2)*x^4) - 1/2*(2*c*d^2 - a*e^2)*log(x^2)/(a^3*d^3)","A",0
252,1,504,0,2.064139," ","integrate(x^8/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{d^{4} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \sqrt{d e}} - \frac{a {\left(\frac{2 \, \sqrt{2} {\left(5 \, c^{\frac{3}{2}} d^{3} - 7 \, \sqrt{a} c d^{2} e + a \sqrt{c} d e^{2} - 3 \, a^{\frac{3}{2}} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(5 \, c^{\frac{3}{2}} d^{3} - 7 \, \sqrt{a} c d^{2} e + a \sqrt{c} d e^{2} - 3 \, a^{\frac{3}{2}} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(5 \, c^{\frac{3}{2}} d^{3} + 7 \, \sqrt{a} c d^{2} e + a \sqrt{c} d e^{2} + 3 \, a^{\frac{3}{2}} e^{3}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(5 \, c^{\frac{3}{2}} d^{3} + 7 \, \sqrt{a} c d^{2} e + a \sqrt{c} d e^{2} + 3 \, a^{\frac{3}{2}} e^{3}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{32 \, {\left(c^{3} d^{4} + 2 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}\right)}} - \frac{{\left(a c d^{2} e + a^{2} e^{3}\right)} x^{3} - {\left(a c d^{3} + a^{2} d e^{2}\right)} x}{4 \, {\left(a c^{3} d^{4} + 2 \, a^{2} c^{2} d^{2} e^{2} + a^{3} c e^{4} + {\left(c^{4} d^{4} + 2 \, a c^{3} d^{2} e^{2} + a^{2} c^{2} e^{4}\right)} x^{4}\right)}}"," ",0,"d^4*arctan(e*x/sqrt(d*e))/((c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*sqrt(d*e)) - 1/32*a*(2*sqrt(2)*(5*c^(3/2)*d^3 - 7*sqrt(a)*c*d^2*e + a*sqrt(c)*d*e^2 - 3*a^(3/2)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(5*c^(3/2)*d^3 - 7*sqrt(a)*c*d^2*e + a*sqrt(c)*d*e^2 - 3*a^(3/2)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(5*c^(3/2)*d^3 + 7*sqrt(a)*c*d^2*e + a*sqrt(c)*d*e^2 + 3*a^(3/2)*e^3)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(5*c^(3/2)*d^3 + 7*sqrt(a)*c*d^2*e + a*sqrt(c)*d*e^2 + 3*a^(3/2)*e^3)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(c^3*d^4 + 2*a*c^2*d^2*e^2 + a^2*c*e^4) - 1/4*((a*c*d^2*e + a^2*e^3)*x^3 - (a*c*d^3 + a^2*d*e^2)*x)/(a*c^3*d^4 + 2*a^2*c^2*d^2*e^2 + a^3*c*e^4 + (c^4*d^4 + 2*a*c^3*d^2*e^2 + a^2*c^2*e^4)*x^4)","A",0
253,1,476,0,2.079474," ","integrate(x^6/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{d^{3} e \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \sqrt{d e}} - \frac{c d x^{3} + a e x}{4 \, {\left(a c^{2} d^{2} + a^{2} c e^{2} + {\left(c^{3} d^{2} + a c^{2} e^{2}\right)} x^{4}\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(3 \, \sqrt{a} c^{2} d^{3} + 5 \, a c^{\frac{3}{2}} d^{2} e - a^{\frac{3}{2}} c d e^{2} + a^{2} \sqrt{c} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(3 \, \sqrt{a} c^{2} d^{3} + 5 \, a c^{\frac{3}{2}} d^{2} e - a^{\frac{3}{2}} c d e^{2} + a^{2} \sqrt{c} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(3 \, \sqrt{a} c^{2} d^{3} - 5 \, a c^{\frac{3}{2}} d^{2} e - a^{\frac{3}{2}} c d e^{2} - a^{2} \sqrt{c} e^{3}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(3 \, \sqrt{a} c^{2} d^{3} - 5 \, a c^{\frac{3}{2}} d^{2} e - a^{\frac{3}{2}} c d e^{2} - a^{2} \sqrt{c} e^{3}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{32 \, {\left(c^{3} d^{4} + 2 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}\right)}}"," ",0,"-d^3*e*arctan(e*x/sqrt(d*e))/((c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*sqrt(d*e)) - 1/4*(c*d*x^3 + a*e*x)/(a*c^2*d^2 + a^2*c*e^2 + (c^3*d^2 + a*c^2*e^2)*x^4) + 1/32*(2*sqrt(2)*(3*sqrt(a)*c^2*d^3 + 5*a*c^(3/2)*d^2*e - a^(3/2)*c*d*e^2 + a^2*sqrt(c)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(3*sqrt(a)*c^2*d^3 + 5*a*c^(3/2)*d^2*e - a^(3/2)*c*d*e^2 + a^2*sqrt(c)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(3*sqrt(a)*c^2*d^3 - 5*a*c^(3/2)*d^2*e - a^(3/2)*c*d*e^2 - a^2*sqrt(c)*e^3)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(3*sqrt(a)*c^2*d^3 - 5*a*c^(3/2)*d^2*e - a^(3/2)*c*d*e^2 - a^2*sqrt(c)*e^3)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(c^3*d^4 + 2*a*c^2*d^2*e^2 + a^2*c*e^4)","A",0
254,1,490,0,2.094646," ","integrate(x^4/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{d^{2} e^{2} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \sqrt{d e}} + \frac{{\left(c d^{2} e + a e^{3}\right)} x^{3} - {\left(c d^{3} + a d e^{2}\right)} x}{4 \, {\left(a c^{2} d^{4} + 2 \, a^{2} c d^{2} e^{2} + a^{3} e^{4} + {\left(c^{3} d^{4} + 2 \, a c^{2} d^{2} e^{2} + a^{2} c e^{4}\right)} x^{4}\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(c^{\frac{3}{2}} d^{3} - 3 \, \sqrt{a} c d^{2} e - 3 \, a \sqrt{c} d e^{2} + a^{\frac{3}{2}} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(c^{\frac{3}{2}} d^{3} - 3 \, \sqrt{a} c d^{2} e - 3 \, a \sqrt{c} d e^{2} + a^{\frac{3}{2}} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(c^{\frac{3}{2}} d^{3} + 3 \, \sqrt{a} c d^{2} e - 3 \, a \sqrt{c} d e^{2} - a^{\frac{3}{2}} e^{3}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(c^{\frac{3}{2}} d^{3} + 3 \, \sqrt{a} c d^{2} e - 3 \, a \sqrt{c} d e^{2} - a^{\frac{3}{2}} e^{3}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{32 \, {\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)}}"," ",0,"d^2*e^2*arctan(e*x/sqrt(d*e))/((c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*sqrt(d*e)) + 1/4*((c*d^2*e + a*e^3)*x^3 - (c*d^3 + a*d*e^2)*x)/(a*c^2*d^4 + 2*a^2*c*d^2*e^2 + a^3*e^4 + (c^3*d^4 + 2*a*c^2*d^2*e^2 + a^2*c*e^4)*x^4) + 1/32*(2*sqrt(2)*(c^(3/2)*d^3 - 3*sqrt(a)*c*d^2*e - 3*a*sqrt(c)*d*e^2 + a^(3/2)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(c^(3/2)*d^3 - 3*sqrt(a)*c*d^2*e - 3*a*sqrt(c)*d*e^2 + a^(3/2)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(c^(3/2)*d^3 + 3*sqrt(a)*c*d^2*e - 3*a*sqrt(c)*d*e^2 - a^(3/2)*e^3)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(c^(3/2)*d^3 + 3*sqrt(a)*c*d^2*e - 3*a*sqrt(c)*d*e^2 - a^(3/2)*e^3)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)","A",0
255,1,472,0,2.148477," ","integrate(x^2/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{d e^{3} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \sqrt{d e}} + \frac{c d x^{3} + a e x}{4 \, {\left(a^{2} c d^{2} + a^{3} e^{2} + {\left(a c^{2} d^{2} + a^{2} c e^{2}\right)} x^{4}\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(\sqrt{a} c^{2} d^{3} - a c^{\frac{3}{2}} d^{2} e + 5 \, a^{\frac{3}{2}} c d e^{2} + 3 \, a^{2} \sqrt{c} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(\sqrt{a} c^{2} d^{3} - a c^{\frac{3}{2}} d^{2} e + 5 \, a^{\frac{3}{2}} c d e^{2} + 3 \, a^{2} \sqrt{c} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(\sqrt{a} c^{2} d^{3} + a c^{\frac{3}{2}} d^{2} e + 5 \, a^{\frac{3}{2}} c d e^{2} - 3 \, a^{2} \sqrt{c} e^{3}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(\sqrt{a} c^{2} d^{3} + a c^{\frac{3}{2}} d^{2} e + 5 \, a^{\frac{3}{2}} c d e^{2} - 3 \, a^{2} \sqrt{c} e^{3}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}}{32 \, {\left(a c^{2} d^{4} + 2 \, a^{2} c d^{2} e^{2} + a^{3} e^{4}\right)}}"," ",0,"-d*e^3*arctan(e*x/sqrt(d*e))/((c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*sqrt(d*e)) + 1/4*(c*d*x^3 + a*e*x)/(a^2*c*d^2 + a^3*e^2 + (a*c^2*d^2 + a^2*c*e^2)*x^4) + 1/32*(2*sqrt(2)*(sqrt(a)*c^2*d^3 - a*c^(3/2)*d^2*e + 5*a^(3/2)*c*d*e^2 + 3*a^2*sqrt(c)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(sqrt(a)*c^2*d^3 - a*c^(3/2)*d^2*e + 5*a^(3/2)*c*d*e^2 + 3*a^2*sqrt(c)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(sqrt(a)*c^2*d^3 + a*c^(3/2)*d^2*e + 5*a^(3/2)*c*d*e^2 - 3*a^2*sqrt(c)*e^3)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(sqrt(a)*c^2*d^3 + a*c^(3/2)*d^2*e + 5*a^(3/2)*c*d*e^2 - 3*a^2*sqrt(c)*e^3)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a*c^2*d^4 + 2*a^2*c*d^2*e^2 + a^3*e^4)","A",0
256,1,506,0,2.059660," ","integrate(1/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{e^{4} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c^{2} d^{4} + 2 \, a c d^{2} e^{2} + a^{2} e^{4}\right)} \sqrt{d e}} + \frac{c {\left(\frac{2 \, \sqrt{2} {\left(3 \, c^{\frac{3}{2}} d^{3} - \sqrt{a} c d^{2} e + 7 \, a \sqrt{c} d e^{2} - 5 \, a^{\frac{3}{2}} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(3 \, c^{\frac{3}{2}} d^{3} - \sqrt{a} c d^{2} e + 7 \, a \sqrt{c} d e^{2} - 5 \, a^{\frac{3}{2}} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(3 \, c^{\frac{3}{2}} d^{3} + \sqrt{a} c d^{2} e + 7 \, a \sqrt{c} d e^{2} + 5 \, a^{\frac{3}{2}} e^{3}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(3 \, c^{\frac{3}{2}} d^{3} + \sqrt{a} c d^{2} e + 7 \, a \sqrt{c} d e^{2} + 5 \, a^{\frac{3}{2}} e^{3}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{32 \, {\left(a c^{2} d^{4} + 2 \, a^{2} c d^{2} e^{2} + a^{3} e^{4}\right)}} - \frac{{\left(c^{2} d^{2} e + a c e^{3}\right)} x^{3} - {\left(c^{2} d^{3} + a c d e^{2}\right)} x}{4 \, {\left(a^{2} c^{2} d^{4} + 2 \, a^{3} c d^{2} e^{2} + a^{4} e^{4} + {\left(a c^{3} d^{4} + 2 \, a^{2} c^{2} d^{2} e^{2} + a^{3} c e^{4}\right)} x^{4}\right)}}"," ",0,"e^4*arctan(e*x/sqrt(d*e))/((c^2*d^4 + 2*a*c*d^2*e^2 + a^2*e^4)*sqrt(d*e)) + 1/32*c*(2*sqrt(2)*(3*c^(3/2)*d^3 - sqrt(a)*c*d^2*e + 7*a*sqrt(c)*d*e^2 - 5*a^(3/2)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(3*c^(3/2)*d^3 - sqrt(a)*c*d^2*e + 7*a*sqrt(c)*d*e^2 - 5*a^(3/2)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(3*c^(3/2)*d^3 + sqrt(a)*c*d^2*e + 7*a*sqrt(c)*d*e^2 + 5*a^(3/2)*e^3)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(3*c^(3/2)*d^3 + sqrt(a)*c*d^2*e + 7*a*sqrt(c)*d*e^2 + 5*a^(3/2)*e^3)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a*c^2*d^4 + 2*a^2*c*d^2*e^2 + a^3*e^4) - 1/4*((c^2*d^2*e + a*c*e^3)*x^3 - (c^2*d^3 + a*c*d*e^2)*x)/(a^2*c^2*d^4 + 2*a^3*c*d^2*e^2 + a^4*e^4 + (a*c^3*d^4 + 2*a^2*c^2*d^2*e^2 + a^3*c*e^4)*x^4)","A",0
257,1,521,0,2.110646," ","integrate(1/x^2/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{e^{5} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c^{2} d^{5} + 2 \, a c d^{3} e^{2} + a^{2} d e^{4}\right)} \sqrt{d e}} - \frac{c {\left(\frac{2 \, \sqrt{2} {\left(5 \, \sqrt{a} c^{2} d^{3} + 3 \, a c^{\frac{3}{2}} d^{2} e + 9 \, a^{\frac{3}{2}} c d e^{2} + 7 \, a^{2} \sqrt{c} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(5 \, \sqrt{a} c^{2} d^{3} + 3 \, a c^{\frac{3}{2}} d^{2} e + 9 \, a^{\frac{3}{2}} c d e^{2} + 7 \, a^{2} \sqrt{c} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} {\left(5 \, \sqrt{a} c^{2} d^{3} - 3 \, a c^{\frac{3}{2}} d^{2} e + 9 \, a^{\frac{3}{2}} c d e^{2} - 7 \, a^{2} \sqrt{c} e^{3}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} {\left(5 \, \sqrt{a} c^{2} d^{3} - 3 \, a c^{\frac{3}{2}} d^{2} e + 9 \, a^{\frac{3}{2}} c d e^{2} - 7 \, a^{2} \sqrt{c} e^{3}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{32 \, {\left(a^{2} c^{2} d^{4} + 2 \, a^{3} c d^{2} e^{2} + a^{4} e^{4}\right)}} - \frac{a c d e x^{2} + {\left(5 \, c^{2} d^{2} + 4 \, a c e^{2}\right)} x^{4} + 4 \, a c d^{2} + 4 \, a^{2} e^{2}}{4 \, {\left({\left(a^{2} c^{2} d^{3} + a^{3} c d e^{2}\right)} x^{5} + {\left(a^{3} c d^{3} + a^{4} d e^{2}\right)} x\right)}}"," ",0,"-e^5*arctan(e*x/sqrt(d*e))/((c^2*d^5 + 2*a*c*d^3*e^2 + a^2*d*e^4)*sqrt(d*e)) - 1/32*c*(2*sqrt(2)*(5*sqrt(a)*c^2*d^3 + 3*a*c^(3/2)*d^2*e + 9*a^(3/2)*c*d*e^2 + 7*a^2*sqrt(c)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(5*sqrt(a)*c^2*d^3 + 3*a*c^(3/2)*d^2*e + 9*a^(3/2)*c*d*e^2 + 7*a^2*sqrt(c)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) - sqrt(2)*(5*sqrt(a)*c^2*d^3 - 3*a*c^(3/2)*d^2*e + 9*a^(3/2)*c*d*e^2 - 7*a^2*sqrt(c)*e^3)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + sqrt(2)*(5*sqrt(a)*c^2*d^3 - 3*a*c^(3/2)*d^2*e + 9*a^(3/2)*c*d*e^2 - 7*a^2*sqrt(c)*e^3)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a^2*c^2*d^4 + 2*a^3*c*d^2*e^2 + a^4*e^4) - 1/4*(a*c*d*e*x^2 + (5*c^2*d^2 + 4*a*c*e^2)*x^4 + 4*a*c*d^2 + 4*a^2*e^2)/((a^2*c^2*d^3 + a^3*c*d*e^2)*x^5 + (a^3*c*d^3 + a^4*d*e^2)*x)","A",0
258,1,543,0,2.110203," ","integrate(1/x^4/(e*x^2+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{e^{6} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c^{2} d^{6} + 2 \, a c d^{4} e^{2} + a^{2} d^{2} e^{4}\right)} \sqrt{d e}} - \frac{c^{2} {\left(\frac{2 \, \sqrt{2} {\left(7 \, c^{\frac{3}{2}} d^{3} - 5 \, \sqrt{a} c d^{2} e + 11 \, a \sqrt{c} d e^{2} - 9 \, a^{\frac{3}{2}} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} {\left(7 \, c^{\frac{3}{2}} d^{3} - 5 \, \sqrt{a} c d^{2} e + 11 \, a \sqrt{c} d e^{2} - 9 \, a^{\frac{3}{2}} e^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}} \sqrt{c}} + \frac{\sqrt{2} {\left(7 \, c^{\frac{3}{2}} d^{3} + 5 \, \sqrt{a} c d^{2} e + 11 \, a \sqrt{c} d e^{2} + 9 \, a^{\frac{3}{2}} e^{3}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(7 \, c^{\frac{3}{2}} d^{3} + 5 \, \sqrt{a} c d^{2} e + 11 \, a \sqrt{c} d e^{2} + 9 \, a^{\frac{3}{2}} e^{3}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}}\right)}}{32 \, {\left(a^{2} c^{2} d^{4} + 2 \, a^{3} c d^{2} e^{2} + a^{4} e^{4}\right)}} + \frac{3 \, {\left(5 \, c^{2} d^{2} e + 4 \, a c e^{3}\right)} x^{6} - 4 \, a c d^{3} - 4 \, a^{2} d e^{2} - {\left(7 \, c^{2} d^{3} + 4 \, a c d e^{2}\right)} x^{4} + 12 \, {\left(a c d^{2} e + a^{2} e^{3}\right)} x^{2}}{12 \, {\left({\left(a^{2} c^{2} d^{4} + a^{3} c d^{2} e^{2}\right)} x^{7} + {\left(a^{3} c d^{4} + a^{4} d^{2} e^{2}\right)} x^{3}\right)}}"," ",0,"e^6*arctan(e*x/sqrt(d*e))/((c^2*d^6 + 2*a*c*d^4*e^2 + a^2*d^2*e^4)*sqrt(d*e)) - 1/32*c^2*(2*sqrt(2)*(7*c^(3/2)*d^3 - 5*sqrt(a)*c*d^2*e + 11*a*sqrt(c)*d*e^2 - 9*a^(3/2)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*(7*c^(3/2)*d^3 - 5*sqrt(a)*c*d^2*e + 11*a*sqrt(c)*d*e^2 - 9*a^(3/2)*e^3)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))*sqrt(c)) + sqrt(2)*(7*c^(3/2)*d^3 + 5*sqrt(a)*c*d^2*e + 11*a*sqrt(c)*d*e^2 + 9*a^(3/2)*e^3)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(7*c^(3/2)*d^3 + 5*sqrt(a)*c*d^2*e + 11*a*sqrt(c)*d*e^2 + 9*a^(3/2)*e^3)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)))/(a^2*c^2*d^4 + 2*a^3*c*d^2*e^2 + a^4*e^4) + 1/12*(3*(5*c^2*d^2*e + 4*a*c*e^3)*x^6 - 4*a*c*d^3 - 4*a^2*d*e^2 - (7*c^2*d^3 + 4*a*c*d*e^2)*x^4 + 12*(a*c*d^2*e + a^2*e^3)*x^2)/((a^2*c^2*d^4 + a^3*c*d^2*e^2)*x^7 + (a^3*c*d^4 + a^4*d^2*e^2)*x^3)","A",0
259,0,0,0,0.000000," ","integrate(x^2/(x^2+1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{x^{4} + 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate(x^2/(sqrt(x^4 + 1)*(x^2 + 1)), x)","F",0
260,0,0,0,0.000000," ","integrate(x^2/(-x^2+1)/(x^4+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2}}{\sqrt{x^{4} + 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"-integrate(x^2/(sqrt(x^4 + 1)*(x^2 - 1)), x)","F",0
261,0,0,0,0.000000," ","integrate(x^2/(x^2+1)/(-x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{-x^{4} + 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate(x^2/(sqrt(-x^4 + 1)*(x^2 + 1)), x)","F",0
262,0,0,0,0.000000," ","integrate(x^2/(-x^2+1)/(-x^4+1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2}}{\sqrt{-x^{4} + 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"-integrate(x^2/(sqrt(-x^4 + 1)*(x^2 - 1)), x)","F",0
263,0,0,0,0.000000," ","integrate(x^2/(x^2+1)/(x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{x^{4} - 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate(x^2/(sqrt(x^4 - 1)*(x^2 + 1)), x)","F",0
264,0,0,0,0.000000," ","integrate(x^2/(-x^2+1)/(x^4-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2}}{\sqrt{x^{4} - 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"-integrate(x^2/(sqrt(x^4 - 1)*(x^2 - 1)), x)","F",0
265,0,0,0,0.000000," ","integrate(x^2/(x^2+1)/(-x^4-1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{-x^{4} - 1} {\left(x^{2} + 1\right)}}\,{d x}"," ",0,"integrate(x^2/(sqrt(-x^4 - 1)*(x^2 + 1)), x)","F",0
266,0,0,0,0.000000," ","integrate(x^2/(-x^2+1)/(-x^4-1)^(1/2),x, algorithm=""maxima"")","-\int \frac{x^{2}}{\sqrt{-x^{4} - 1} {\left(x^{2} - 1\right)}}\,{d x}"," ",0,"-integrate(x^2/(sqrt(-x^4 - 1)*(x^2 - 1)), x)","F",0
267,1,124,0,0.918456," ","integrate(x^2*(d*x^2+c)^(1/2)*((b*x^2+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}} b x^{3}}{6 \, d} - \frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}} b c x}{8 \, d^{2}} + \frac{\sqrt{d x^{2} + c} b c^{2} x}{16 \, d^{2}} + \frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}} a x}{4 \, d} - \frac{\sqrt{d x^{2} + c} a c x}{8 \, d} + \frac{b c^{3} \operatorname{arsinh}\left(\frac{d x}{\sqrt{c d}}\right)}{16 \, d^{\frac{5}{2}}} - \frac{a c^{2} \operatorname{arsinh}\left(\frac{d x}{\sqrt{c d}}\right)}{8 \, d^{\frac{3}{2}}}"," ",0,"1/6*(d*x^2 + c)^(3/2)*b*x^3/d - 1/8*(d*x^2 + c)^(3/2)*b*c*x/d^2 + 1/16*sqrt(d*x^2 + c)*b*c^2*x/d^2 + 1/4*(d*x^2 + c)^(3/2)*a*x/d - 1/8*sqrt(d*x^2 + c)*a*c*x/d + 1/16*b*c^3*arcsinh(d*x/sqrt(c*d))/d^(5/2) - 1/8*a*c^2*arcsinh(d*x/sqrt(c*d))/d^(3/2)","A",0
268,1,50,0,0.897537," ","integrate(x*(d*x^2+c)^(1/2)*((b*x^2+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}} b x^{2}}{5 \, d} - \frac{2 \, {\left(d x^{2} + c\right)}^{\frac{3}{2}} b c}{15 \, d^{2}} + \frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}} a}{3 \, d}"," ",0,"1/5*(d*x^2 + c)^(3/2)*b*x^2/d - 2/15*(d*x^2 + c)^(3/2)*b*c/d^2 + 1/3*(d*x^2 + c)^(3/2)*a/d","A",0
269,1,81,0,1.080348," ","integrate((d*x^2+c)^(1/2)*((b*x^2+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{d x^{2} + c} a x + \frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}} b x}{4 \, d} - \frac{\sqrt{d x^{2} + c} b c x}{8 \, d} - \frac{b c^{2} \operatorname{arsinh}\left(\frac{d x}{\sqrt{c d}}\right)}{8 \, d^{\frac{3}{2}}} + \frac{a c \operatorname{arsinh}\left(\frac{d x}{\sqrt{c d}}\right)}{2 \, \sqrt{d}}"," ",0,"1/2*sqrt(d*x^2 + c)*a*x + 1/4*(d*x^2 + c)^(3/2)*b*x/d - 1/8*sqrt(d*x^2 + c)*b*c*x/d - 1/8*b*c^2*arcsinh(d*x/sqrt(c*d))/d^(3/2) + 1/2*a*c*arcsinh(d*x/sqrt(c*d))/sqrt(d)","A",0
270,1,45,0,1.452724," ","integrate((d*x^2+c)^(1/2)*((b*x^2+a)^2)^(1/2)/x,x, algorithm=""maxima"")","-a \sqrt{c} \operatorname{arsinh}\left(\frac{c}{\sqrt{c d} {\left| x \right|}}\right) + \sqrt{d x^{2} + c} a + \frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}} b}{3 \, d}"," ",0,"-a*sqrt(c)*arcsinh(c/(sqrt(c*d)*abs(x))) + sqrt(d*x^2 + c)*a + 1/3*(d*x^2 + c)^(3/2)*b/d","A",0
271,1,59,0,1.080500," ","integrate((d*x^2+c)^(1/2)*((b*x^2+a)^2)^(1/2)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{d x^{2} + c} b x + \frac{b c \operatorname{arsinh}\left(\frac{d x}{\sqrt{c d}}\right)}{2 \, \sqrt{d}} + a \sqrt{d} \operatorname{arsinh}\left(\frac{d x}{\sqrt{c d}}\right) - \frac{\sqrt{d x^{2} + c} a}{x}"," ",0,"1/2*sqrt(d*x^2 + c)*b*x + 1/2*b*c*arcsinh(d*x/sqrt(c*d))/sqrt(d) + a*sqrt(d)*arcsinh(d*x/sqrt(c*d)) - sqrt(d*x^2 + c)*a/x","A",0
272,1,83,0,1.225441," ","integrate((d*x^2+c)^(1/2)*((b*x^2+a)^2)^(1/2)/x^3,x, algorithm=""maxima"")","-b \sqrt{c} \operatorname{arsinh}\left(\frac{c}{\sqrt{c d} {\left| x \right|}}\right) - \frac{a d \operatorname{arsinh}\left(\frac{c}{\sqrt{c d} {\left| x \right|}}\right)}{2 \, \sqrt{c}} + \sqrt{d x^{2} + c} b + \frac{\sqrt{d x^{2} + c} a d}{2 \, c} - \frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}} a}{2 \, c x^{2}}"," ",0,"-b*sqrt(c)*arcsinh(c/(sqrt(c*d)*abs(x))) - 1/2*a*d*arcsinh(c/(sqrt(c*d)*abs(x)))/sqrt(c) + sqrt(d*x^2 + c)*b + 1/2*sqrt(d*x^2 + c)*a*d/c - 1/2*(d*x^2 + c)^(3/2)*a/(c*x^2)","A",0
273,1,72,0,1.105857," ","integrate(x^3*(e*x^2+d)^2*(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{1}{12} \, c e^{2} x^{12} + \frac{1}{10} \, {\left(2 \, c d e + b e^{2}\right)} x^{10} + \frac{1}{8} \, {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} x^{8} + \frac{1}{4} \, a d^{2} x^{4} + \frac{1}{6} \, {\left(b d^{2} + 2 \, a d e\right)} x^{6}"," ",0,"1/12*c*e^2*x^12 + 1/10*(2*c*d*e + b*e^2)*x^10 + 1/8*(c*d^2 + 2*b*d*e + a*e^2)*x^8 + 1/4*a*d^2*x^4 + 1/6*(b*d^2 + 2*a*d*e)*x^6","A",0
274,1,72,0,1.188552," ","integrate(x^2*(e*x^2+d)^2*(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{1}{11} \, c e^{2} x^{11} + \frac{1}{9} \, {\left(2 \, c d e + b e^{2}\right)} x^{9} + \frac{1}{7} \, {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} x^{7} + \frac{1}{3} \, a d^{2} x^{3} + \frac{1}{5} \, {\left(b d^{2} + 2 \, a d e\right)} x^{5}"," ",0,"1/11*c*e^2*x^11 + 1/9*(2*c*d*e + b*e^2)*x^9 + 1/7*(c*d^2 + 2*b*d*e + a*e^2)*x^7 + 1/3*a*d^2*x^3 + 1/5*(b*d^2 + 2*a*d*e)*x^5","A",0
275,1,72,0,1.211411," ","integrate(x*(e*x^2+d)^2*(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{1}{10} \, c e^{2} x^{10} + \frac{1}{8} \, {\left(2 \, c d e + b e^{2}\right)} x^{8} + \frac{1}{6} \, {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} x^{6} + \frac{1}{2} \, a d^{2} x^{2} + \frac{1}{4} \, {\left(b d^{2} + 2 \, a d e\right)} x^{4}"," ",0,"1/10*c*e^2*x^10 + 1/8*(2*c*d*e + b*e^2)*x^8 + 1/6*(c*d^2 + 2*b*d*e + a*e^2)*x^6 + 1/2*a*d^2*x^2 + 1/4*(b*d^2 + 2*a*d*e)*x^4","A",0
276,1,69,0,1.172858," ","integrate((e*x^2+d)^2*(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{1}{9} \, c e^{2} x^{9} + \frac{1}{7} \, {\left(2 \, c d e + b e^{2}\right)} x^{7} + \frac{1}{5} \, {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} x^{5} + a d^{2} x + \frac{1}{3} \, {\left(b d^{2} + 2 \, a d e\right)} x^{3}"," ",0,"1/9*c*e^2*x^9 + 1/7*(2*c*d*e + b*e^2)*x^7 + 1/5*(c*d^2 + 2*b*d*e + a*e^2)*x^5 + a*d^2*x + 1/3*(b*d^2 + 2*a*d*e)*x^3","A",0
277,1,73,0,1.119848," ","integrate((e*x^2+d)^2*(c*x^4+b*x^2+a)/x,x, algorithm=""maxima"")","\frac{1}{8} \, c e^{2} x^{8} + \frac{1}{6} \, {\left(2 \, c d e + b e^{2}\right)} x^{6} + \frac{1}{4} \, {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} x^{4} + \frac{1}{2} \, a d^{2} \log\left(x^{2}\right) + \frac{1}{2} \, {\left(b d^{2} + 2 \, a d e\right)} x^{2}"," ",0,"1/8*c*e^2*x^8 + 1/6*(2*c*d*e + b*e^2)*x^6 + 1/4*(c*d^2 + 2*b*d*e + a*e^2)*x^4 + 1/2*a*d^2*log(x^2) + 1/2*(b*d^2 + 2*a*d*e)*x^2","A",0
278,1,69,0,1.070498," ","integrate((e*x^2+d)^2*(c*x^4+b*x^2+a)/x^2,x, algorithm=""maxima"")","\frac{1}{7} \, c e^{2} x^{7} + \frac{1}{5} \, {\left(2 \, c d e + b e^{2}\right)} x^{5} + \frac{1}{3} \, {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} x^{3} - \frac{a d^{2}}{x} + {\left(b d^{2} + 2 \, a d e\right)} x"," ",0,"1/7*c*e^2*x^7 + 1/5*(2*c*d*e + b*e^2)*x^5 + 1/3*(c*d^2 + 2*b*d*e + a*e^2)*x^3 - a*d^2/x + (b*d^2 + 2*a*d*e)*x","A",0
279,1,73,0,1.093743," ","integrate((e*x^2+d)^2*(c*x^4+b*x^2+a)/x^3,x, algorithm=""maxima"")","\frac{1}{6} \, c e^{2} x^{6} + \frac{1}{4} \, {\left(2 \, c d e + b e^{2}\right)} x^{4} + \frac{1}{2} \, {\left(c d^{2} + 2 \, b d e + a e^{2}\right)} x^{2} + \frac{1}{2} \, {\left(b d^{2} + 2 \, a d e\right)} \log\left(x^{2}\right) - \frac{a d^{2}}{2 \, x^{2}}"," ",0,"1/6*c*e^2*x^6 + 1/4*(2*c*d*e + b*e^2)*x^4 + 1/2*(c*d^2 + 2*b*d*e + a*e^2)*x^2 + 1/2*(b*d^2 + 2*a*d*e)*log(x^2) - 1/2*a*d^2/x^2","A",0
280,1,165,0,2.486610," ","integrate(x^6*(c*x^4+b*x^2+a)/(e*x^2+d)^2,x, algorithm=""maxima"")","-\frac{{\left(c d^{4} - b d^{3} e + a d^{2} e^{2}\right)} x}{2 \, {\left(e^{6} x^{2} + d e^{5}\right)}} + \frac{{\left(9 \, c d^{4} - 7 \, b d^{3} e + 5 \, a d^{2} e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} e^{5}} + \frac{15 \, c e^{3} x^{7} - 21 \, {\left(2 \, c d e^{2} - b e^{3}\right)} x^{5} + 35 \, {\left(3 \, c d^{2} e - 2 \, b d e^{2} + a e^{3}\right)} x^{3} - 105 \, {\left(4 \, c d^{3} - 3 \, b d^{2} e + 2 \, a d e^{2}\right)} x}{105 \, e^{5}}"," ",0,"-1/2*(c*d^4 - b*d^3*e + a*d^2*e^2)*x/(e^6*x^2 + d*e^5) + 1/2*(9*c*d^4 - 7*b*d^3*e + 5*a*d^2*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e^5) + 1/105*(15*c*e^3*x^7 - 21*(2*c*d*e^2 - b*e^3)*x^5 + 35*(3*c*d^2*e - 2*b*d*e^2 + a*e^3)*x^3 - 105*(4*c*d^3 - 3*b*d^2*e + 2*a*d*e^2)*x)/e^5","A",0
281,1,130,0,2.451380," ","integrate(x^4*(c*x^4+b*x^2+a)/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{{\left(c d^{3} - b d^{2} e + a d e^{2}\right)} x}{2 \, {\left(e^{5} x^{2} + d e^{4}\right)}} - \frac{{\left(7 \, c d^{3} - 5 \, b d^{2} e + 3 \, a d e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} e^{4}} + \frac{3 \, c e^{2} x^{5} - 5 \, {\left(2 \, c d e - b e^{2}\right)} x^{3} + 15 \, {\left(3 \, c d^{2} - 2 \, b d e + a e^{2}\right)} x}{15 \, e^{4}}"," ",0,"1/2*(c*d^3 - b*d^2*e + a*d*e^2)*x/(e^5*x^2 + d*e^4) - 1/2*(7*c*d^3 - 5*b*d^2*e + 3*a*d*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e^4) + 1/15*(3*c*e^2*x^5 - 5*(2*c*d*e - b*e^2)*x^3 + 15*(3*c*d^2 - 2*b*d*e + a*e^2)*x)/e^4","A",0
282,1,95,0,2.517219," ","integrate(x^2*(c*x^4+b*x^2+a)/(e*x^2+d)^2,x, algorithm=""maxima"")","-\frac{{\left(c d^{2} - b d e + a e^{2}\right)} x}{2 \, {\left(e^{4} x^{2} + d e^{3}\right)}} + \frac{{\left(5 \, c d^{2} - 3 \, b d e + a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} e^{3}} + \frac{c e x^{3} - 3 \, {\left(2 \, c d - b e\right)} x}{3 \, e^{3}}"," ",0,"-1/2*(c*d^2 - b*d*e + a*e^2)*x/(e^4*x^2 + d*e^3) + 1/2*(5*c*d^2 - 3*b*d*e + a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e^3) + 1/3*(c*e*x^3 - 3*(2*c*d - b*e)*x)/e^3","A",0
283,1,84,0,2.335335," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{{\left(c d^{2} - b d e + a e^{2}\right)} x}{2 \, {\left(d e^{3} x^{2} + d^{2} e^{2}\right)}} + \frac{c x}{e^{2}} - \frac{{\left(3 \, c d^{2} - b d e - a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} d e^{2}}"," ",0,"1/2*(c*d^2 - b*d*e + a*e^2)*x/(d*e^3*x^2 + d^2*e^2) + c*x/e^2 - 1/2*(3*c*d^2 - b*d*e - a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d*e^2)","A",0
284,1,87,0,2.462368," ","integrate((c*x^4+b*x^2+a)/x^2/(e*x^2+d)^2,x, algorithm=""maxima"")","-\frac{2 \, a d e + {\left(c d^{2} - b d e + 3 \, a e^{2}\right)} x^{2}}{2 \, {\left(d^{2} e^{2} x^{3} + d^{3} e x\right)}} + \frac{{\left(c d^{2} + b d e - 3 \, a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} d^{2} e}"," ",0,"-1/2*(2*a*d*e + (c*d^2 - b*d*e + 3*a*e^2)*x^2)/(d^2*e^2*x^3 + d^3*e*x) + 1/2*(c*d^2 + b*d*e - 3*a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^2*e)","A",0
285,1,103,0,2.385030," ","integrate((c*x^4+b*x^2+a)/x^4/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{3 \, {\left(c d^{2} - 3 \, b d e + 5 \, a e^{2}\right)} x^{4} - 2 \, a d^{2} - 2 \, {\left(3 \, b d^{2} - 5 \, a d e\right)} x^{2}}{6 \, {\left(d^{3} e x^{5} + d^{4} x^{3}\right)}} + \frac{{\left(c d^{2} - 3 \, b d e + 5 \, a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} d^{3}}"," ",0,"1/6*(3*(c*d^2 - 3*b*d*e + 5*a*e^2)*x^4 - 2*a*d^2 - 2*(3*b*d^2 - 5*a*d*e)*x^2)/(d^3*e*x^5 + d^4*x^3) + 1/2*(c*d^2 - 3*b*d*e + 5*a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^3)","A",0
286,1,139,0,2.462978," ","integrate((c*x^4+b*x^2+a)/x^6/(e*x^2+d)^2,x, algorithm=""maxima"")","-\frac{15 \, {\left(3 \, c d^{2} e - 5 \, b d e^{2} + 7 \, a e^{3}\right)} x^{6} + 10 \, {\left(3 \, c d^{3} - 5 \, b d^{2} e + 7 \, a d e^{2}\right)} x^{4} + 6 \, a d^{3} + 2 \, {\left(5 \, b d^{3} - 7 \, a d^{2} e\right)} x^{2}}{30 \, {\left(d^{4} e x^{7} + d^{5} x^{5}\right)}} - \frac{{\left(3 \, c d^{2} e - 5 \, b d e^{2} + 7 \, a e^{3}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} d^{4}}"," ",0,"-1/30*(15*(3*c*d^2*e - 5*b*d*e^2 + 7*a*e^3)*x^6 + 10*(3*c*d^3 - 5*b*d^2*e + 7*a*d*e^2)*x^4 + 6*a*d^3 + 2*(5*b*d^3 - 7*a*d^2*e)*x^2)/(d^4*e*x^7 + d^5*x^5) - 1/2*(3*c*d^2*e - 5*b*d*e^2 + 7*a*e^3)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^4)","A",0
287,1,174,0,2.569557," ","integrate((c*x^4+b*x^2+a)/x^8/(e*x^2+d)^2,x, algorithm=""maxima"")","\frac{105 \, {\left(5 \, c d^{2} e^{2} - 7 \, b d e^{3} + 9 \, a e^{4}\right)} x^{8} + 70 \, {\left(5 \, c d^{3} e - 7 \, b d^{2} e^{2} + 9 \, a d e^{3}\right)} x^{6} - 30 \, a d^{4} - 14 \, {\left(5 \, c d^{4} - 7 \, b d^{3} e + 9 \, a d^{2} e^{2}\right)} x^{4} - 6 \, {\left(7 \, b d^{4} - 9 \, a d^{3} e\right)} x^{2}}{210 \, {\left(d^{5} e x^{9} + d^{6} x^{7}\right)}} + \frac{{\left(5 \, c d^{2} e^{2} - 7 \, b d e^{3} + 9 \, a e^{4}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{2 \, \sqrt{d e} d^{5}}"," ",0,"1/210*(105*(5*c*d^2*e^2 - 7*b*d*e^3 + 9*a*e^4)*x^8 + 70*(5*c*d^3*e - 7*b*d^2*e^2 + 9*a*d*e^3)*x^6 - 30*a*d^4 - 14*(5*c*d^4 - 7*b*d^3*e + 9*a*d^2*e^2)*x^4 - 6*(7*b*d^4 - 9*a*d^3*e)*x^2)/(d^5*e*x^9 + d^6*x^7) + 1/2*(5*c*d^2*e^2 - 7*b*d*e^3 + 9*a*e^4)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^5)","A",0
288,1,175,0,2.466410," ","integrate(x^6*(c*x^4+b*x^2+a)/(e*x^2+d)^3,x, algorithm=""maxima"")","\frac{{\left(17 \, c d^{3} e - 13 \, b d^{2} e^{2} + 9 \, a d e^{3}\right)} x^{3} + {\left(15 \, c d^{4} - 11 \, b d^{3} e + 7 \, a d^{2} e^{2}\right)} x}{8 \, {\left(e^{7} x^{4} + 2 \, d e^{6} x^{2} + d^{2} e^{5}\right)}} - \frac{{\left(63 \, c d^{3} - 35 \, b d^{2} e + 15 \, a d e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, \sqrt{d e} e^{5}} + \frac{3 \, c e^{2} x^{5} - 5 \, {\left(3 \, c d e - b e^{2}\right)} x^{3} + 15 \, {\left(6 \, c d^{2} - 3 \, b d e + a e^{2}\right)} x}{15 \, e^{5}}"," ",0,"1/8*((17*c*d^3*e - 13*b*d^2*e^2 + 9*a*d*e^3)*x^3 + (15*c*d^4 - 11*b*d^3*e + 7*a*d^2*e^2)*x)/(e^7*x^4 + 2*d*e^6*x^2 + d^2*e^5) - 1/8*(63*c*d^3 - 35*b*d^2*e + 15*a*d*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e^5) + 1/15*(3*c*e^2*x^5 - 5*(3*c*d*e - b*e^2)*x^3 + 15*(6*c*d^2 - 3*b*d*e + a*e^2)*x)/e^5","A",0
289,1,139,0,2.508956," ","integrate(x^4*(c*x^4+b*x^2+a)/(e*x^2+d)^3,x, algorithm=""maxima"")","-\frac{{\left(13 \, c d^{2} e - 9 \, b d e^{2} + 5 \, a e^{3}\right)} x^{3} + {\left(11 \, c d^{3} - 7 \, b d^{2} e + 3 \, a d e^{2}\right)} x}{8 \, {\left(e^{6} x^{4} + 2 \, d e^{5} x^{2} + d^{2} e^{4}\right)}} + \frac{{\left(35 \, c d^{2} - 15 \, b d e + 3 \, a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, \sqrt{d e} e^{4}} + \frac{c e x^{3} - 3 \, {\left(3 \, c d - b e\right)} x}{3 \, e^{4}}"," ",0,"-1/8*((13*c*d^2*e - 9*b*d*e^2 + 5*a*e^3)*x^3 + (11*c*d^3 - 7*b*d^2*e + 3*a*d*e^2)*x)/(e^6*x^4 + 2*d*e^5*x^2 + d^2*e^4) + 1/8*(35*c*d^2 - 15*b*d*e + 3*a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*e^4) + 1/3*(c*e*x^3 - 3*(3*c*d - b*e)*x)/e^4","A",0
290,1,126,0,2.460707," ","integrate(x^2*(c*x^4+b*x^2+a)/(e*x^2+d)^3,x, algorithm=""maxima"")","\frac{{\left(9 \, c d^{2} e - 5 \, b d e^{2} + a e^{3}\right)} x^{3} + {\left(7 \, c d^{3} - 3 \, b d^{2} e - a d e^{2}\right)} x}{8 \, {\left(d e^{5} x^{4} + 2 \, d^{2} e^{4} x^{2} + d^{3} e^{3}\right)}} + \frac{c x}{e^{3}} - \frac{{\left(15 \, c d^{2} - 3 \, b d e - a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, \sqrt{d e} d e^{3}}"," ",0,"1/8*((9*c*d^2*e - 5*b*d*e^2 + a*e^3)*x^3 + (7*c*d^3 - 3*b*d^2*e - a*d*e^2)*x)/(d*e^5*x^4 + 2*d^2*e^4*x^2 + d^3*e^3) + c*x/e^3 - 1/8*(15*c*d^2 - 3*b*d*e - a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d*e^3)","A",0
291,1,121,0,2.461605," ","integrate((c*x^4+b*x^2+a)/(e*x^2+d)^3,x, algorithm=""maxima"")","-\frac{{\left(5 \, c d^{2} e - b d e^{2} - 3 \, a e^{3}\right)} x^{3} + {\left(3 \, c d^{3} + b d^{2} e - 5 \, a d e^{2}\right)} x}{8 \, {\left(d^{2} e^{4} x^{4} + 2 \, d^{3} e^{3} x^{2} + d^{4} e^{2}\right)}} + \frac{{\left(3 \, c d^{2} + b d e + 3 \, a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, \sqrt{d e} d^{2} e^{2}}"," ",0,"-1/8*((5*c*d^2*e - b*d*e^2 - 3*a*e^3)*x^3 + (3*c*d^3 + b*d^2*e - 5*a*d*e^2)*x)/(d^2*e^4*x^4 + 2*d^3*e^3*x^2 + d^4*e^2) + 1/8*(3*c*d^2 + b*d*e + 3*a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^2*e^2)","A",0
292,1,129,0,2.649971," ","integrate((c*x^4+b*x^2+a)/x^2/(e*x^2+d)^3,x, algorithm=""maxima"")","\frac{{\left(c d^{2} e + 3 \, b d e^{2} - 15 \, a e^{3}\right)} x^{4} - 8 \, a d^{2} e - {\left(c d^{3} - 5 \, b d^{2} e + 25 \, a d e^{2}\right)} x^{2}}{8 \, {\left(d^{3} e^{3} x^{5} + 2 \, d^{4} e^{2} x^{3} + d^{5} e x\right)}} + \frac{{\left(c d^{2} + 3 \, b d e - 15 \, a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, \sqrt{d e} d^{3} e}"," ",0,"1/8*((c*d^2*e + 3*b*d*e^2 - 15*a*e^3)*x^4 - 8*a*d^2*e - (c*d^3 - 5*b*d^2*e + 25*a*d*e^2)*x^2)/(d^3*e^3*x^5 + 2*d^4*e^2*x^3 + d^5*e*x) + 1/8*(c*d^2 + 3*b*d*e - 15*a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^3*e)","A",0
293,1,147,0,2.594260," ","integrate((c*x^4+b*x^2+a)/x^4/(e*x^2+d)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(3 \, c d^{2} e - 15 \, b d e^{2} + 35 \, a e^{3}\right)} x^{6} + 5 \, {\left(3 \, c d^{3} - 15 \, b d^{2} e + 35 \, a d e^{2}\right)} x^{4} - 8 \, a d^{3} - 8 \, {\left(3 \, b d^{3} - 7 \, a d^{2} e\right)} x^{2}}{24 \, {\left(d^{4} e^{2} x^{7} + 2 \, d^{5} e x^{5} + d^{6} x^{3}\right)}} + \frac{{\left(3 \, c d^{2} - 15 \, b d e + 35 \, a e^{2}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, \sqrt{d e} d^{4}}"," ",0,"1/24*(3*(3*c*d^2*e - 15*b*d*e^2 + 35*a*e^3)*x^6 + 5*(3*c*d^3 - 15*b*d^2*e + 35*a*d*e^2)*x^4 - 8*a*d^3 - 8*(3*b*d^3 - 7*a*d^2*e)*x^2)/(d^4*e^2*x^7 + 2*d^5*e*x^5 + d^6*x^3) + 1/8*(3*c*d^2 - 15*b*d*e + 35*a*e^2)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^4)","A",0
294,1,183,0,2.452854," ","integrate((c*x^4+b*x^2+a)/x^6/(e*x^2+d)^3,x, algorithm=""maxima"")","-\frac{15 \, {\left(15 \, c d^{2} e^{2} - 35 \, b d e^{3} + 63 \, a e^{4}\right)} x^{8} + 25 \, {\left(15 \, c d^{3} e - 35 \, b d^{2} e^{2} + 63 \, a d e^{3}\right)} x^{6} + 24 \, a d^{4} + 8 \, {\left(15 \, c d^{4} - 35 \, b d^{3} e + 63 \, a d^{2} e^{2}\right)} x^{4} + 8 \, {\left(5 \, b d^{4} - 9 \, a d^{3} e\right)} x^{2}}{120 \, {\left(d^{5} e^{2} x^{9} + 2 \, d^{6} e x^{7} + d^{7} x^{5}\right)}} - \frac{{\left(15 \, c d^{2} e - 35 \, b d e^{2} + 63 \, a e^{3}\right)} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{8 \, \sqrt{d e} d^{5}}"," ",0,"-1/120*(15*(15*c*d^2*e^2 - 35*b*d*e^3 + 63*a*e^4)*x^8 + 25*(15*c*d^3*e - 35*b*d^2*e^2 + 63*a*d*e^3)*x^6 + 24*a*d^4 + 8*(15*c*d^4 - 35*b*d^3*e + 63*a*d^2*e^2)*x^4 + 8*(5*b*d^4 - 9*a*d^3*e)*x^2)/(d^5*e^2*x^9 + 2*d^6*e*x^7 + d^7*x^5) - 1/8*(15*c*d^2*e - 35*b*d*e^2 + 63*a*e^3)*arctan(e*x/sqrt(d*e))/(sqrt(d*e)*d^5)","A",0
295,-2,0,0,0.000000," ","integrate(x^9/(e*x^2+d)/(c*x^4+b*x^2+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
296,-2,0,0,0.000000," ","integrate(x^7/(e*x^2+d)/(c*x^4+b*x^2+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
297,-2,0,0,0.000000," ","integrate(x^5/(e*x^2+d)/(c*x^4+b*x^2+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
298,-2,0,0,0.000000," ","integrate(x^3/(e*x^2+d)/(c*x^4+b*x^2+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
299,-2,0,0,0.000000," ","integrate(x/(e*x^2+d)/(c*x^4+b*x^2+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
300,-2,0,0,0.000000," ","integrate(1/x/(e*x^2+d)/(c*x^4+b*x^2+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
301,-2,0,0,0.000000," ","integrate(1/x^3/(e*x^2+d)/(c*x^4+b*x^2+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
302,-2,0,0,0.000000," ","integrate(1/x^5/(e*x^2+d)/(c*x^4+b*x^2+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
303,0,0,0,0.000000," ","integrate(x^8/(e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{d^{4} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{2} e^{2} - b d e^{3} + a e^{4}\right)} \sqrt{d e}} - \frac{-\int \frac{a^{2} b e - {\left({\left(b^{3} - 2 \, a b c\right)} d - {\left(a b^{2} - a^{2} c\right)} e\right)} x^{2} - {\left(a b^{2} - a^{2} c\right)} d}{c x^{4} + b x^{2} + a}\,{d x}}{c^{3} d^{2} - b c^{2} d e + a c^{2} e^{2}} + \frac{c e x^{3} - 3 \, {\left(c d + b e\right)} x}{3 \, c^{2} e^{2}}"," ",0,"d^4*arctan(e*x/sqrt(d*e))/((c*d^2*e^2 - b*d*e^3 + a*e^4)*sqrt(d*e)) - integrate(-(a^2*b*e - ((b^3 - 2*a*b*c)*d - (a*b^2 - a^2*c)*e)*x^2 - (a*b^2 - a^2*c)*d)/(c*x^4 + b*x^2 + a), x)/(c^3*d^2 - b*c^2*d*e + a*c^2*e^2) + 1/3*(c*e*x^3 - 3*(c*d + b*e)*x)/(c^2*e^2)","F",0
304,0,0,0,0.000000," ","integrate(x^6/(e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","-\frac{d^{3} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{2} e - b d e^{2} + a e^{3}\right)} \sqrt{d e}} - \frac{-\int \frac{a b d - a^{2} e - {\left(a b e - {\left(b^{2} - a c\right)} d\right)} x^{2}}{c x^{4} + b x^{2} + a}\,{d x}}{c^{2} d^{2} - b c d e + a c e^{2}} + \frac{x}{c e}"," ",0,"-d^3*arctan(e*x/sqrt(d*e))/((c*d^2*e - b*d*e^2 + a*e^3)*sqrt(d*e)) - integrate(-(a*b*d - a^2*e - (a*b*e - (b^2 - a*c)*d)*x^2)/(c*x^4 + b*x^2 + a), x)/(c^2*d^2 - b*c*d*e + a*c*e^2) + x/(c*e)","F",0
305,0,0,0,0.000000," ","integrate(x^4/(e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{d^{2} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{2} - b d e + a e^{2}\right)} \sqrt{d e}} + \frac{-\int \frac{{\left(b d - a e\right)} x^{2} + a d}{c x^{4} + b x^{2} + a}\,{d x}}{c d^{2} - b d e + a e^{2}}"," ",0,"d^2*arctan(e*x/sqrt(d*e))/((c*d^2 - b*d*e + a*e^2)*sqrt(d*e)) + integrate(-((b*d - a*e)*x^2 + a*d)/(c*x^4 + b*x^2 + a), x)/(c*d^2 - b*d*e + a*e^2)","F",0
306,0,0,0,0.000000," ","integrate(x^2/(e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","-\frac{d e \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{2} - b d e + a e^{2}\right)} \sqrt{d e}} + \frac{-\frac{{\left(2 \, {\left(2 \, b^{2} c^{3} - 8 \, a c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{2} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} c^{3}\right)} d - {\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)} e\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(2 \, {\left(2 \, b^{2} c^{3} - 8 \, a c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{2} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} c^{3}\right)} d + {\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)} e\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 d^{2} - b d e + a e^{2}}"," ",0,"-d*e*arctan(e*x/sqrt(d*e))/((c*d^2 - b*d*e + a*e^2)*sqrt(d*e)) + integrate((c*d*x^2 + a*e)/(c*x^4 + b*x^2 + a), x)/(c*d^2 - b*d*e + a*e^2)","F",0
307,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{e^{2} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{2} - b d e + a e^{2}\right)} \sqrt{d e}} - \frac{-\frac{{\left({\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} - 2 \, b^{4} c^{2} + 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} + 16 \, a b^{2} c^{3} + 2 \, b^{3} c^{3} - 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a c^{4} - 32 \, a^{2} c^{4} - 8 \, a b c^{4} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{2} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{2} - 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b c^{3}\right)} d - {\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)} e\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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({\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{2} - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{2} + 2 \, b^{4} c^{2} + 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{3} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{3} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{3} - 16 \, a b^{2} c^{3} - 2 \, b^{3} c^{3} - 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a c^{4} + 32 \, a^{2} c^{4} + 8 \, a b c^{4} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{2} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{2} c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{2} c^{2} + 8 \, {\left(b^{2} - 4 \, a c\right)} a c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b c^{3}\right)} d - {\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)} e\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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}}{c d^{2} - b d e + a e^{2}}"," ",0,"e^2*arctan(e*x/sqrt(d*e))/((c*d^2 - b*d*e + a*e^2)*sqrt(d*e)) - integrate((c*e*x^2 - c*d + b*e)/(c*x^4 + b*x^2 + a), x)/(c*d^2 - b*d*e + a*e^2)","F",0
308,0,0,0,0.000000," ","integrate(1/x^2/(e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","-\frac{e^{3} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{3} - b d^{2} e + a d e^{2}\right)} \sqrt{d e}} + \frac{-\int \frac{b c d + {\left(c^{2} d - b c e\right)} x^{2} - {\left(b^{2} - a c\right)} e}{c x^{4} + b x^{2} + a}\,{d x}}{a c d^{2} - a b d e + a^{2} e^{2}} - \frac{1}{a d x}"," ",0,"-e^3*arctan(e*x/sqrt(d*e))/((c*d^3 - b*d^2*e + a*d*e^2)*sqrt(d*e)) + integrate(-(b*c*d + (c^2*d - b*c*e)*x^2 - (b^2 - a*c)*e)/(c*x^4 + b*x^2 + a), x)/(a*c*d^2 - a*b*d*e + a^2*e^2) - 1/(a*d*x)","F",0
309,0,0,0,0.000000," ","integrate(1/x^4/(e*x^2+d)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\frac{e^{4} \arctan\left(\frac{e x}{\sqrt{d e}}\right)}{{\left(c d^{4} - b d^{3} e + a d^{2} e^{2}\right)} \sqrt{d e}} + \frac{\frac{{\left({\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} c - 9 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} - 2 \, b^{6} c^{2} + 24 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} + 10 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{3} + 18 \, a b^{4} c^{3} + 2 \, b^{5} c^{3} - 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} - 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} - 5 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{4} - 48 \, a^{2} b^{2} c^{4} - 14 \, a b^{3} c^{4} + 4 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{5} + 32 \, a^{3} c^{5} + 24 \, a^{2} b c^{5} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c + 7 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{3} + 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b c^{4} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c^{2} - 10 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{3} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{3} + 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{4} + 6 \, {\left(b^{2} - 4 \, a c\right)} a b c^{4}\right)} d - {\left(\sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{7} - 10 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 2 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} c - 2 \, b^{7} c + 32 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + 12 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} + 20 \, a b^{5} c^{2} + 2 \, b^{6} c^{2} - 32 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 16 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 6 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} - 64 \, a^{2} b^{3} c^{3} - 16 \, a b^{4} c^{3} + 8 \, \sqrt{2} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} + 64 \, a^{3} b c^{4} + 36 \, a^{2} b^{2} c^{4} - 16 \, a^{3} c^{5} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{6} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{4} c + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 18 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c + \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{5} c - 12 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c^{2} + 16 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3} + 8 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{3} - 4 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{4}\right)} e\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b + \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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({\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} c - 9 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} + 2 \, b^{6} c^{2} + 24 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} + 10 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{3} - 18 \, a b^{4} c^{3} - 2 \, b^{5} c^{3} - 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{4} - 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} - 5 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{4} + 48 \, a^{2} b^{2} c^{4} + 14 \, a b^{3} c^{4} + 4 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{5} - 32 \, a^{3} c^{5} - 24 \, a^{2} b c^{5} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c - 7 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} + 12 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} + 6 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{3} c^{3} - 3 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b c^{4} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c^{2} + 10 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{3} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{3} c^{3} - 8 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{4} - 6 \, {\left(b^{2} - 4 \, a c\right)} a b c^{4}\right)} d - {\left(\sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{7} - 10 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{5} c - 2 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} c + 2 \, b^{7} c + 32 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{3} c^{2} + 12 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c^{2} + \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c^{2} - 20 \, a b^{5} c^{2} - 2 \, b^{6} c^{2} - 32 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} b c^{3} - 16 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{3} - 6 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{3} + 64 \, a^{2} b^{3} c^{3} + 16 \, a b^{4} c^{3} + 8 \, \sqrt{2} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{4} - 64 \, a^{3} b c^{4} - 36 \, a^{2} b^{2} c^{4} + 16 \, a^{3} c^{5} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{6} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{4} c - 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{5} c + 18 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b^{2} c^{2} + 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{3} c^{2} + \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} b^{4} c^{2} - 8 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{3} c^{3} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} b c^{3} - 4 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a b^{2} c^{3} + 2 \, \sqrt{2} \sqrt{b^{2} - 4 \, a c} \sqrt{b c - \sqrt{b^{2} - 4 \, a c} c} a^{2} c^{4} - 2 \, {\left(b^{2} - 4 \, a c\right)} b^{5} c + 12 \, {\left(b^{2} - 4 \, a c\right)} a b^{3} c^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} b^{4} c^{2} - 16 \, {\left(b^{2} - 4 \, a c\right)} a^{2} b c^{3} - 8 \, {\left(b^{2} - 4 \, a c\right)} a b^{2} c^{3} + 4 \, {\left(b^{2} - 4 \, a c\right)} a^{2} c^{4}\right)} e\right)} \arctan\left(\frac{2 \, \sqrt{\frac{1}{2}} x}{\sqrt{\frac{b - \sqrt{b^{2} - 4 \, a c}}{c}}}\right)}{4 \, {\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^{2} c d^{2} - a^{2} b d e + a^{3} e^{2}} + \frac{3 \, {\left(b d + a e\right)} x^{2} - a d}{3 \, a^{2} d^{2} x^{3}}"," ",0,"e^4*arctan(e*x/sqrt(d*e))/((c*d^4 - b*d^3*e + a*d^2*e^2)*sqrt(d*e)) + integrate(((b*c^2*d - (b^2*c - a*c^2)*e)*x^2 + (b^2*c - a*c^2)*d - (b^3 - 2*a*b*c)*e)/(c*x^4 + b*x^2 + a), x)/(a^2*c*d^2 - a^2*b*d*e + a^3*e^2) + 1/3*(3*(b*d + a*e)*x^2 - a*d)/(a^2*d^2*x^3)","F",0
310,0,0,0,0.000000," ","integrate(1/(e*x^2+d)/(c*x^4+b*x^2+a)/(f*x)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, e^{2} \sqrt{x}}{c d^{3} \sqrt{f} - b d^{2} e \sqrt{f} + a d e^{2} \sqrt{f}} + \frac{\frac{2 \, \sqrt{2} e^{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} d^{\frac{1}{4}} e^{\frac{1}{4}} + 2 \, \sqrt{e} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{d} \sqrt{e}}}\right)}{\sqrt{d} \sqrt{\sqrt{d} \sqrt{e}}} + \frac{2 \, \sqrt{2} e^{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} d^{\frac{1}{4}} e^{\frac{1}{4}} - 2 \, \sqrt{e} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{d} \sqrt{e}}}\right)}{\sqrt{d} \sqrt{\sqrt{d} \sqrt{e}}} + \frac{\sqrt{2} e^{\frac{7}{4}} \log\left(\sqrt{2} d^{\frac{1}{4}} e^{\frac{1}{4}} \sqrt{x} + \sqrt{e} x + \sqrt{d}\right)}{d^{\frac{3}{4}}} - \frac{\sqrt{2} e^{\frac{7}{4}} \log\left(-\sqrt{2} d^{\frac{1}{4}} e^{\frac{1}{4}} \sqrt{x} + \sqrt{e} x + \sqrt{d}\right)}{d^{\frac{3}{4}}}}{4 \, {\left(c d^{2} \sqrt{f} - b d e \sqrt{f} + a e^{2} \sqrt{f}\right)}} + \frac{2 \, \sqrt{x}}{a d \sqrt{f}} + \int -\frac{{\left(c^{2} d - b c e\right)} x^{\frac{7}{2}} + {\left(b c d - b^{2} e + a c e\right)} x^{\frac{3}{2}}}{a^{3} e^{2} \sqrt{f} + {\left(a^{2} c e^{2} \sqrt{f} + {\left(c^{2} d^{2} \sqrt{f} - b c d e \sqrt{f}\right)} a\right)} x^{4} + {\left(c d^{2} \sqrt{f} - b d e \sqrt{f}\right)} a^{2} + {\left(a^{2} b e^{2} \sqrt{f} + {\left(b c d^{2} \sqrt{f} - b^{2} d e \sqrt{f}\right)} a\right)} x^{2}}\,{d x}"," ",0,"-2*e^2*sqrt(x)/(c*d^3*sqrt(f) - b*d^2*e*sqrt(f) + a*d*e^2*sqrt(f)) + 1/4*(2*sqrt(2)*e^2*arctan(1/2*sqrt(2)*(sqrt(2)*d^(1/4)*e^(1/4) + 2*sqrt(e)*sqrt(x))/sqrt(sqrt(d)*sqrt(e)))/(sqrt(d)*sqrt(sqrt(d)*sqrt(e))) + 2*sqrt(2)*e^2*arctan(-1/2*sqrt(2)*(sqrt(2)*d^(1/4)*e^(1/4) - 2*sqrt(e)*sqrt(x))/sqrt(sqrt(d)*sqrt(e)))/(sqrt(d)*sqrt(sqrt(d)*sqrt(e))) + sqrt(2)*e^(7/4)*log(sqrt(2)*d^(1/4)*e^(1/4)*sqrt(x) + sqrt(e)*x + sqrt(d))/d^(3/4) - sqrt(2)*e^(7/4)*log(-sqrt(2)*d^(1/4)*e^(1/4)*sqrt(x) + sqrt(e)*x + sqrt(d))/d^(3/4))/(c*d^2*sqrt(f) - b*d*e*sqrt(f) + a*e^2*sqrt(f)) + 2*sqrt(x)/(a*d*sqrt(f)) + integrate(-((c^2*d - b*c*e)*x^(7/2) + (b*c*d - b^2*e + a*c*e)*x^(3/2))/(a^3*e^2*sqrt(f) + (a^2*c*e^2*sqrt(f) + (c^2*d^2*sqrt(f) - b*c*d*e*sqrt(f))*a)*x^4 + (c*d^2*sqrt(f) - b*d*e*sqrt(f))*a^2 + (a^2*b*e^2*sqrt(f) + (b*c*d^2*sqrt(f) - b^2*d*e*sqrt(f))*a)*x^2), x)","F",0
311,-2,0,0,0.000000," ","integrate(x^5*(c*x^4+b*x^2+a)^(1/2)/(e*x^2+d),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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
312,-2,0,0,0.000000," ","integrate(x^3*(c*x^4+b*x^2+a)^(1/2)/(e*x^2+d),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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
313,-2,0,0,0.000000," ","integrate(x*(c*x^4+b*x^2+a)^(1/2)/(e*x^2+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
314,0,0,0,0.000000," ","integrate((c*x^4+b*x^2+a)^(1/2)/x/(e*x^2+d),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2} + a}}{{\left(e x^{2} + d\right)} x}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2 + a)/((e*x^2 + d)*x), x)","F",0
315,0,0,0,0.000000," ","integrate((c*x^4+b*x^2+a)^(1/2)/x^3/(e*x^2+d),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2} + a}}{{\left(e x^{2} + d\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2 + a)/((e*x^2 + d)*x^3), x)","F",0
316,0,0,0,0.000000," ","integrate(x^4*(2*x^4+2*x^2+1)^(1/2)/(2*x^2+3),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x^{4} + 2 \, x^{2} + 1} x^{4}}{2 \, x^{2} + 3}\,{d x}"," ",0,"integrate(sqrt(2*x^4 + 2*x^2 + 1)*x^4/(2*x^2 + 3), x)","F",0
317,0,0,0,0.000000," ","integrate(x^2*(2*x^4+2*x^2+1)^(1/2)/(2*x^2+3),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x^{4} + 2 \, x^{2} + 1} x^{2}}{2 \, x^{2} + 3}\,{d x}"," ",0,"integrate(sqrt(2*x^4 + 2*x^2 + 1)*x^2/(2*x^2 + 3), x)","F",0
318,0,0,0,0.000000," ","integrate((2*x^4+2*x^2+1)^(1/2)/(2*x^2+3),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x^{4} + 2 \, x^{2} + 1}}{2 \, x^{2} + 3}\,{d x}"," ",0,"integrate(sqrt(2*x^4 + 2*x^2 + 1)/(2*x^2 + 3), x)","F",0
319,0,0,0,0.000000," ","integrate((2*x^4+2*x^2+1)^(1/2)/x^2/(2*x^2+3),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x^{4} + 2 \, x^{2} + 1}}{{\left(2 \, x^{2} + 3\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(2*x^4 + 2*x^2 + 1)/((2*x^2 + 3)*x^2), x)","F",0
320,0,0,0,0.000000," ","integrate((2*x^4+2*x^2+1)^(1/2)/x^4/(2*x^2+3),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x^{4} + 2 \, x^{2} + 1}}{{\left(2 \, x^{2} + 3\right)} x^{4}}\,{d x}"," ",0,"integrate(sqrt(2*x^4 + 2*x^2 + 1)/((2*x^2 + 3)*x^4), x)","F",0
321,0,0,0,0.000000," ","integrate((2*x^4+2*x^2+1)^(1/2)/x^6/(2*x^2+3),x, algorithm=""maxima"")","\int \frac{\sqrt{2 \, x^{4} + 2 \, x^{2} + 1}}{{\left(2 \, x^{2} + 3\right)} x^{6}}\,{d x}"," ",0,"integrate(sqrt(2*x^4 + 2*x^2 + 1)/((2*x^2 + 3)*x^6), x)","F",0
322,-2,0,0,0.000000," ","integrate(x^5*(c*x^4+b*x^2+a)^(3/2)/(e*x^2+d),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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
323,-2,0,0,0.000000," ","integrate(x^3*(c*x^4+b*x^2+a)^(3/2)/(e*x^2+d),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(b*e-2*c*d>0)', see `assume?` for more details)Is b*e-2*c*d zero or nonzero?","F(-2)",0
324,-2,0,0,0.000000," ","integrate(x*(c*x^4+b*x^2+a)^(3/2)/(e*x^2+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*e^2-b*d*e>0)', see `assume?` for more details)Is a*e^2-b*d*e                            +c*d^2 zero or nonzero?","F(-2)",0
325,0,0,0,0.000000," ","integrate((c*x^4+b*x^2+a)^(3/2)/x/(e*x^2+d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}}}{{\left(e x^{2} + d\right)} x}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2 + a)^(3/2)/((e*x^2 + d)*x), x)","F",0
326,0,0,0,0.000000," ","integrate((c*x^4+b*x^2+a)^(3/2)/x^3/(e*x^2+d),x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}}}{{\left(e x^{2} + d\right)} x^{3}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2 + a)^(3/2)/((e*x^2 + d)*x^3), x)","F",0
327,0,0,0,0.000000," ","integrate(x^2*(2*x^4+2*x^2+1)^(3/2)/(-2*x^2+3),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}^{\frac{3}{2}} x^{2}}{2 \, x^{2} - 3}\,{d x}"," ",0,"-integrate((2*x^4 + 2*x^2 + 1)^(3/2)*x^2/(2*x^2 - 3), x)","F",0
328,0,0,0,0.000000," ","integrate((2*x^4+2*x^2+1)^(3/2)/(-2*x^2+3),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}^{\frac{3}{2}}}{2 \, x^{2} - 3}\,{d x}"," ",0,"-integrate((2*x^4 + 2*x^2 + 1)^(3/2)/(2*x^2 - 3), x)","F",0
329,0,0,0,0.000000," ","integrate((2*x^4+2*x^2+1)^(3/2)/x^2/(-2*x^2+3),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}^{\frac{3}{2}}}{{\left(2 \, x^{2} - 3\right)} x^{2}}\,{d x}"," ",0,"-integrate((2*x^4 + 2*x^2 + 1)^(3/2)/((2*x^2 - 3)*x^2), x)","F",0
330,0,0,0,0.000000," ","integrate((2*x^4+2*x^2+1)^(3/2)/x^4/(-2*x^2+3),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}^{\frac{3}{2}}}{{\left(2 \, x^{2} - 3\right)} x^{4}}\,{d x}"," ",0,"-integrate((2*x^4 + 2*x^2 + 1)^(3/2)/((2*x^2 - 3)*x^4), x)","F",0
331,0,0,0,0.000000," ","integrate((2*x^4+2*x^2+1)^(3/2)/x^6/(-2*x^2+3),x, algorithm=""maxima"")","-\int \frac{{\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}^{\frac{3}{2}}}{{\left(2 \, x^{2} - 3\right)} x^{6}}\,{d x}"," ",0,"-integrate((2*x^4 + 2*x^2 + 1)^(3/2)/((2*x^2 - 3)*x^6), x)","F",0
332,0,0,0,0.000000," ","integrate(x^5/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{5}}{\sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(x^5/(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)), x)","F",0
333,0,0,0,0.000000," ","integrate(x^3/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{\sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(x^3/(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)), x)","F",0
334,0,0,0,0.000000," ","integrate(x/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(x/(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)), x)","F",0
335,0,0,0,0.000000," ","integrate(1/x/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)} x}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)*x), x)","F",0
336,0,0,0,0.000000," ","integrate(1/x^3/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{c x^{4} + b x^{2} + a} {\left(e x^{2} + d\right)} x^{3}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^4 + b*x^2 + a)*(e*x^2 + d)*x^3), x)","F",0
337,0,0,0,0.000000," ","integrate(x^4/(2*x^2+3)/(2*x^4+2*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{\sqrt{2 \, x^{4} + 2 \, x^{2} + 1} {\left(2 \, x^{2} + 3\right)}}\,{d x}"," ",0,"integrate(x^4/(sqrt(2*x^4 + 2*x^2 + 1)*(2*x^2 + 3)), x)","F",0
338,0,0,0,0.000000," ","integrate(x^2/(2*x^2+3)/(2*x^4+2*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{2 \, x^{4} + 2 \, x^{2} + 1} {\left(2 \, x^{2} + 3\right)}}\,{d x}"," ",0,"integrate(x^2/(sqrt(2*x^4 + 2*x^2 + 1)*(2*x^2 + 3)), x)","F",0
339,0,0,0,0.000000," ","integrate(1/(2*x^2+3)/(2*x^4+2*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{2 \, x^{4} + 2 \, x^{2} + 1} {\left(2 \, x^{2} + 3\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(2*x^4 + 2*x^2 + 1)*(2*x^2 + 3)), x)","F",0
340,0,0,0,0.000000," ","integrate(1/x^2/(2*x^2+3)/(2*x^4+2*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{2 \, x^{4} + 2 \, x^{2} + 1} {\left(2 \, x^{2} + 3\right)} x^{2}}\,{d x}"," ",0,"integrate(1/(sqrt(2*x^4 + 2*x^2 + 1)*(2*x^2 + 3)*x^2), x)","F",0
341,0,0,0,0.000000," ","integrate(1/x^4/(2*x^2+3)/(2*x^4+2*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{2 \, x^{4} + 2 \, x^{2} + 1} {\left(2 \, x^{2} + 3\right)} x^{4}}\,{d x}"," ",0,"integrate(1/(sqrt(2*x^4 + 2*x^2 + 1)*(2*x^2 + 3)*x^4), x)","F",0
342,0,0,0,0.000000," ","integrate(x^7/(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{7}}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(x^7/((c*x^4 + b*x^2 + a)^(3/2)*(e*x^2 + d)), x)","F",0
343,0,0,0,0.000000," ","integrate(x^5/(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{5}}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(x^5/((c*x^4 + b*x^2 + a)^(3/2)*(e*x^2 + d)), x)","F",0
344,0,0,0,0.000000," ","integrate(x^3/(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(x^3/((c*x^4 + b*x^2 + a)^(3/2)*(e*x^2 + d)), x)","F",0
345,0,0,0,0.000000," ","integrate(x/(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{x}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)}}\,{d x}"," ",0,"integrate(x/((c*x^4 + b*x^2 + a)^(3/2)*(e*x^2 + d)), x)","F",0
346,0,0,0,0.000000," ","integrate(1/x/(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)} x}\,{d x}"," ",0,"integrate(1/((c*x^4 + b*x^2 + a)^(3/2)*(e*x^2 + d)*x), x)","F",0
347,0,0,0,0.000000," ","integrate(1/x^3/(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{4} + b x^{2} + a\right)}^{\frac{3}{2}} {\left(e x^{2} + d\right)} x^{3}}\,{d x}"," ",0,"integrate(1/((c*x^4 + b*x^2 + a)^(3/2)*(e*x^2 + d)*x^3), x)","F",0
348,0,0,0,0.000000," ","integrate(x^8/(2*x^2+3)/(2*x^4+2*x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{{\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}^{\frac{3}{2}} {\left(2 \, x^{2} + 3\right)}}\,{d x}"," ",0,"integrate(x^8/((2*x^4 + 2*x^2 + 1)^(3/2)*(2*x^2 + 3)), x)","F",0
349,0,0,0,0.000000," ","integrate(x^6/(2*x^2+3)/(2*x^4+2*x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}^{\frac{3}{2}} {\left(2 \, x^{2} + 3\right)}}\,{d x}"," ",0,"integrate(x^6/((2*x^4 + 2*x^2 + 1)^(3/2)*(2*x^2 + 3)), x)","F",0
350,0,0,0,0.000000," ","integrate(x^4/(2*x^2+3)/(2*x^4+2*x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}^{\frac{3}{2}} {\left(2 \, x^{2} + 3\right)}}\,{d x}"," ",0,"integrate(x^4/((2*x^4 + 2*x^2 + 1)^(3/2)*(2*x^2 + 3)), x)","F",0
351,0,0,0,0.000000," ","integrate(x^2/(2*x^2+3)/(2*x^4+2*x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}^{\frac{3}{2}} {\left(2 \, x^{2} + 3\right)}}\,{d x}"," ",0,"integrate(x^2/((2*x^4 + 2*x^2 + 1)^(3/2)*(2*x^2 + 3)), x)","F",0
352,0,0,0,0.000000," ","integrate(1/(2*x^2+3)/(2*x^4+2*x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}^{\frac{3}{2}} {\left(2 \, x^{2} + 3\right)}}\,{d x}"," ",0,"integrate(1/((2*x^4 + 2*x^2 + 1)^(3/2)*(2*x^2 + 3)), x)","F",0
353,0,0,0,0.000000," ","integrate(1/x^2/(2*x^2+3)/(2*x^4+2*x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(2 \, x^{4} + 2 \, x^{2} + 1\right)}^{\frac{3}{2}} {\left(2 \, x^{2} + 3\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((2*x^4 + 2*x^2 + 1)^(3/2)*(2*x^2 + 3)*x^2), x)","F",0
354,0,0,0,0.000000," ","integrate(x^7*(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d} x^{7}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*x^7/(c*x^4 + b*x^2 + a), x)","F",0
355,0,0,0,0.000000," ","integrate(x^5*(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d} x^{5}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*x^5/(c*x^4 + b*x^2 + a), x)","F",0
356,0,0,0,0.000000," ","integrate(x^3*(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d} x^{3}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*x^3/(c*x^4 + b*x^2 + a), x)","F",0
357,0,0,0,0.000000," ","integrate(x*(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d} x}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*x/(c*x^4 + b*x^2 + a), x)","F",0
358,0,0,0,0.000000," ","integrate((e*x^2+d)^(1/2)/x/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d}}{{\left(c x^{4} + b x^{2} + a\right)} x}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)/((c*x^4 + b*x^2 + a)*x), x)","F",0
359,0,0,0,0.000000," ","integrate((e*x^2+d)^(1/2)/x^3/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d}}{{\left(c x^{4} + b x^{2} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)/((c*x^4 + b*x^2 + a)*x^3), x)","F",0
360,0,0,0,0.000000," ","integrate((e*x^2+d)^(1/2)/x^5/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d}}{{\left(c x^{4} + b x^{2} + a\right)} x^{5}}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)/((c*x^4 + b*x^2 + a)*x^5), x)","F",0
361,0,0,0,0.000000," ","integrate(x^4*(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d} x^{4}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*x^4/(c*x^4 + b*x^2 + a), x)","F",0
362,0,0,0,0.000000," ","integrate(x^2*(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d} x^{2}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)*x^2/(c*x^4 + b*x^2 + a), x)","F",0
363,0,0,0,0.000000," ","integrate((e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)/(c*x^4 + b*x^2 + a), x)","F",0
364,0,0,0,0.000000," ","integrate((e*x^2+d)^(1/2)/x^2/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d}}{{\left(c x^{4} + b x^{2} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)/((c*x^4 + b*x^2 + a)*x^2), x)","F",0
365,0,0,0,0.000000," ","integrate((e*x^2+d)^(1/2)/x^4/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d}}{{\left(c x^{4} + b x^{2} + a\right)} x^{4}}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)/((c*x^4 + b*x^2 + a)*x^4), x)","F",0
366,0,0,0,0.000000," ","integrate((e*x^2+d)^(1/2)/x^6/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{e x^{2} + d}}{{\left(c x^{4} + b x^{2} + a\right)} x^{6}}\,{d x}"," ",0,"integrate(sqrt(e*x^2 + d)/((c*x^4 + b*x^2 + a)*x^6), x)","F",0
367,0,0,0,0.000000," ","integrate(x^3*(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{3}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*x^3/(c*x^4 + b*x^2 + a), x)","F",0
368,0,0,0,0.000000," ","integrate(x*(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} x}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*x/(c*x^4 + b*x^2 + a), x)","F",0
369,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)/x/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}{{\left(c x^{4} + b x^{2} + a\right)} x}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)/((c*x^4 + b*x^2 + a)*x), x)","F",0
370,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)/x^3/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}{{\left(c x^{4} + b x^{2} + a\right)} x^{3}}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)/((c*x^4 + b*x^2 + a)*x^3), x)","F",0
371,0,0,0,0.000000," ","integrate(x^4*(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{4}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*x^4/(c*x^4 + b*x^2 + a), x)","F",0
372,0,0,0,0.000000," ","integrate(x^2*(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{2}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)*x^2/(c*x^4 + b*x^2 + a), x)","F",0
373,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)/(c*x^4 + b*x^2 + a), x)","F",0
374,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)/x^2/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}{{\left(c x^{4} + b x^{2} + a\right)} x^{2}}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)/((c*x^4 + b*x^2 + a)*x^2), x)","F",0
375,0,0,0,0.000000," ","integrate((e*x^2+d)^(3/2)/x^4/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{\frac{3}{2}}}{{\left(c x^{4} + b x^{2} + a\right)} x^{4}}\,{d x}"," ",0,"integrate((e*x^2 + d)^(3/2)/((c*x^4 + b*x^2 + a)*x^4), x)","F",0
376,0,0,0,0.000000," ","integrate(x^5*(-x^2+1)^(1/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{2} + 1} x^{5}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(-x^2 + 1)*x^5/(c*x^4 + b*x^2 + a), x)","F",0
377,0,0,0,0.000000," ","integrate(x^3*(-x^2+1)^(1/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{2} + 1} x^{3}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(-x^2 + 1)*x^3/(c*x^4 + b*x^2 + a), x)","F",0
378,0,0,0,0.000000," ","integrate(x*(-x^2+1)^(1/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{2} + 1} x}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(-x^2 + 1)*x/(c*x^4 + b*x^2 + a), x)","F",0
379,0,0,0,0.000000," ","integrate((-x^2+1)^(1/2)/x/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{2} + 1}}{{\left(c x^{4} + b x^{2} + a\right)} x}\,{d x}"," ",0,"integrate(sqrt(-x^2 + 1)/((c*x^4 + b*x^2 + a)*x), x)","F",0
380,0,0,0,0.000000," ","integrate((-x^2+1)^(1/2)/x^3/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{2} + 1}}{{\left(c x^{4} + b x^{2} + a\right)} x^{3}}\,{d x}"," ",0,"integrate(sqrt(-x^2 + 1)/((c*x^4 + b*x^2 + a)*x^3), x)","F",0
381,0,0,0,0.000000," ","integrate(x^4*(-x^2+1)^(1/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{2} + 1} x^{4}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(-x^2 + 1)*x^4/(c*x^4 + b*x^2 + a), x)","F",0
382,0,0,0,0.000000," ","integrate(x^2*(-x^2+1)^(1/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{2} + 1} x^{2}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(-x^2 + 1)*x^2/(c*x^4 + b*x^2 + a), x)","F",0
383,0,0,0,0.000000," ","integrate((-x^2+1)^(1/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{2} + 1}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate(sqrt(-x^2 + 1)/(c*x^4 + b*x^2 + a), x)","F",0
384,0,0,0,0.000000," ","integrate((-x^2+1)^(1/2)/x^2/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{2} + 1}}{{\left(c x^{4} + b x^{2} + a\right)} x^{2}}\,{d x}"," ",0,"integrate(sqrt(-x^2 + 1)/((c*x^4 + b*x^2 + a)*x^2), x)","F",0
385,0,0,0,0.000000," ","integrate(x^2*(-x^2+1)^(1/2)/(x^4+x^2-1),x, algorithm=""maxima"")","\int \frac{\sqrt{-x^{2} + 1} x^{2}}{x^{4} + x^{2} - 1}\,{d x}"," ",0,"integrate(sqrt(-x^2 + 1)*x^2/(x^4 + x^2 - 1), x)","F",0
386,0,0,0,0.000000," ","integrate(x^8/(c*x^4+b*x^2+a)/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{8}}{{\left(c x^{4} + b x^{2} + a\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate(x^8/((c*x^4 + b*x^2 + a)*sqrt(e*x^2 + d)), x)","F",0
387,0,0,0,0.000000," ","integrate(x^6/(c*x^4+b*x^2+a)/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(c x^{4} + b x^{2} + a\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate(x^6/((c*x^4 + b*x^2 + a)*sqrt(e*x^2 + d)), x)","F",0
388,0,0,0,0.000000," ","integrate(x^4/(c*x^4+b*x^2+a)/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(c x^{4} + b x^{2} + a\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate(x^4/((c*x^4 + b*x^2 + a)*sqrt(e*x^2 + d)), x)","F",0
389,0,0,0,0.000000," ","integrate(x^2/(c*x^4+b*x^2+a)/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(c x^{4} + b x^{2} + a\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate(x^2/((c*x^4 + b*x^2 + a)*sqrt(e*x^2 + d)), x)","F",0
390,0,0,0,0.000000," ","integrate(1/(c*x^4+b*x^2+a)/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{4} + b x^{2} + a\right)} \sqrt{e x^{2} + d}}\,{d x}"," ",0,"integrate(1/((c*x^4 + b*x^2 + a)*sqrt(e*x^2 + d)), x)","F",0
391,0,0,0,0.000000," ","integrate(1/x^2/(c*x^4+b*x^2+a)/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{4} + b x^{2} + a\right)} \sqrt{e x^{2} + d} x^{2}}\,{d x}"," ",0,"integrate(1/((c*x^4 + b*x^2 + a)*sqrt(e*x^2 + d)*x^2), x)","F",0
392,0,0,0,0.000000," ","integrate(1/x^4/(c*x^4+b*x^2+a)/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{4} + b x^{2} + a\right)} \sqrt{e x^{2} + d} x^{4}}\,{d x}"," ",0,"integrate(1/((c*x^4 + b*x^2 + a)*sqrt(e*x^2 + d)*x^4), x)","F",0
393,0,0,0,0.000000," ","integrate(1/x^6/(c*x^4+b*x^2+a)/(e*x^2+d)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{4} + b x^{2} + a\right)} \sqrt{e x^{2} + d} x^{6}}\,{d x}"," ",0,"integrate(1/((c*x^4 + b*x^2 + a)*sqrt(e*x^2 + d)*x^6), x)","F",0
394,0,0,0,0.000000," ","integrate(x^6/(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{x^{6}}{{\left(c x^{4} + b x^{2} + a\right)} {\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^6/((c*x^4 + b*x^2 + a)*(e*x^2 + d)^(3/2)), x)","F",0
395,0,0,0,0.000000," ","integrate(x^4/(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{x^{4}}{{\left(c x^{4} + b x^{2} + a\right)} {\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^4/((c*x^4 + b*x^2 + a)*(e*x^2 + d)^(3/2)), x)","F",0
396,0,0,0,0.000000," ","integrate(x^2/(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(c x^{4} + b x^{2} + a\right)} {\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x^2/((c*x^4 + b*x^2 + a)*(e*x^2 + d)^(3/2)), x)","F",0
397,0,0,0,0.000000," ","integrate(1/(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{4} + b x^{2} + a\right)} {\left(e x^{2} + d\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((c*x^4 + b*x^2 + a)*(e*x^2 + d)^(3/2)), x)","F",0
398,0,0,0,0.000000," ","integrate(1/x^2/(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{4} + b x^{2} + a\right)} {\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate(1/((c*x^4 + b*x^2 + a)*(e*x^2 + d)^(3/2)*x^2), x)","F",0
399,0,0,0,0.000000," ","integrate(1/x^4/(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{4} + b x^{2} + a\right)} {\left(e x^{2} + d\right)}^{\frac{3}{2}} x^{4}}\,{d x}"," ",0,"integrate(1/((c*x^4 + b*x^2 + a)*(e*x^2 + d)^(3/2)*x^4), x)","F",0
400,0,0,0,0.000000," ","integrate((f*x)^m*(e*x^2+d)^q/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{q} \left(f x\right)^{m}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^q*(f*x)^m/(c*x^4 + b*x^2 + a), x)","F",0
401,0,0,0,0.000000," ","integrate(x^7*(e*x^2+d)^q/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{q} x^{7}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^q*x^7/(c*x^4 + b*x^2 + a), x)","F",0
402,0,0,0,0.000000," ","integrate(x^5*(e*x^2+d)^q/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{q} x^{5}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^q*x^5/(c*x^4 + b*x^2 + a), x)","F",0
403,0,0,0,0.000000," ","integrate(x^3*(e*x^2+d)^q/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{q} x^{3}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^q*x^3/(c*x^4 + b*x^2 + a), x)","F",0
404,0,0,0,0.000000," ","integrate(x*(e*x^2+d)^q/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{q} x}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^q*x/(c*x^4 + b*x^2 + a), x)","F",0
405,0,0,0,0.000000," ","integrate((e*x^2+d)^q/x/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{q}}{{\left(c x^{4} + b x^{2} + a\right)} x}\,{d x}"," ",0,"integrate((e*x^2 + d)^q/((c*x^4 + b*x^2 + a)*x), x)","F",0
406,0,0,0,0.000000," ","integrate((e*x^2+d)^q/x^3/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{q}}{{\left(c x^{4} + b x^{2} + a\right)} x^{3}}\,{d x}"," ",0,"integrate((e*x^2 + d)^q/((c*x^4 + b*x^2 + a)*x^3), x)","F",0
407,0,0,0,0.000000," ","integrate(x^6*(e*x^2+d)^q/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{q} x^{6}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^q*x^6/(c*x^4 + b*x^2 + a), x)","F",0
408,0,0,0,0.000000," ","integrate(x^4*(e*x^2+d)^q/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{q} x^{4}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^q*x^4/(c*x^4 + b*x^2 + a), x)","F",0
409,0,0,0,0.000000," ","integrate(x^2*(e*x^2+d)^q/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{q} x^{2}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^q*x^2/(c*x^4 + b*x^2 + a), x)","F",0
410,0,0,0,0.000000," ","integrate((e*x^2+d)^q/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{q}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x^2 + d)^q/(c*x^4 + b*x^2 + a), x)","F",0
411,0,0,0,0.000000," ","integrate((e*x^2+d)^q/x^2/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{q}}{{\left(c x^{4} + b x^{2} + a\right)} x^{2}}\,{d x}"," ",0,"integrate((e*x^2 + d)^q/((c*x^4 + b*x^2 + a)*x^2), x)","F",0
412,0,0,0,0.000000," ","integrate((e*x^2+d)^q/x^4/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x^{2} + d\right)}^{q}}{{\left(c x^{4} + b x^{2} + a\right)} x^{4}}\,{d x}"," ",0,"integrate((e*x^2 + d)^q/((c*x^4 + b*x^2 + a)*x^4), x)","F",0
413,0,0,0,0.000000," ","integrate((1+1/c^2/x^2)^(1/2)/(-c^4*x^4+1)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{\frac{1}{c^{2} x^{2}} + 1}}{\sqrt{-c^{4} x^{4} + 1}}\,{d x}"," ",0,"integrate(sqrt(1/(c^2*x^2) + 1)/sqrt(-c^4*x^4 + 1), x)","F",0
