1,1,151,0,0.145258," ","integrate(x**3*(e*x**2+d)*(c*x**4+a)**5,x)","\frac{a^{5} d x^{4}}{4} + \frac{a^{5} e x^{6}}{6} + \frac{5 a^{4} c d x^{8}}{8} + \frac{a^{4} c e x^{10}}{2} + \frac{5 a^{3} c^{2} d x^{12}}{6} + \frac{5 a^{3} c^{2} e x^{14}}{7} + \frac{5 a^{2} c^{3} d x^{16}}{8} + \frac{5 a^{2} c^{3} e x^{18}}{9} + \frac{a c^{4} d x^{20}}{4} + \frac{5 a c^{4} e x^{22}}{22} + \frac{c^{5} d x^{24}}{24} + \frac{c^{5} e x^{26}}{26}"," ",0,"a**5*d*x**4/4 + a**5*e*x**6/6 + 5*a**4*c*d*x**8/8 + a**4*c*e*x**10/2 + 5*a**3*c**2*d*x**12/6 + 5*a**3*c**2*e*x**14/7 + 5*a**2*c**3*d*x**16/8 + 5*a**2*c**3*e*x**18/9 + a*c**4*d*x**20/4 + 5*a*c**4*e*x**22/22 + c**5*d*x**24/24 + c**5*e*x**26/26","A",0
2,1,155,0,0.088462," ","integrate(x**2*(e*x**2+d)*(c*x**4+a)**5,x)","\frac{a^{5} d x^{3}}{3} + \frac{a^{5} e x^{5}}{5} + \frac{5 a^{4} c d x^{7}}{7} + \frac{5 a^{4} c e x^{9}}{9} + \frac{10 a^{3} c^{2} d x^{11}}{11} + \frac{10 a^{3} c^{2} e x^{13}}{13} + \frac{2 a^{2} c^{3} d x^{15}}{3} + \frac{10 a^{2} c^{3} e x^{17}}{17} + \frac{5 a c^{4} d x^{19}}{19} + \frac{5 a c^{4} e x^{21}}{21} + \frac{c^{5} d x^{23}}{23} + \frac{c^{5} e x^{25}}{25}"," ",0,"a**5*d*x**3/3 + a**5*e*x**5/5 + 5*a**4*c*d*x**7/7 + 5*a**4*c*e*x**9/9 + 10*a**3*c**2*d*x**11/11 + 10*a**3*c**2*e*x**13/13 + 2*a**2*c**3*d*x**15/3 + 10*a**2*c**3*e*x**17/17 + 5*a*c**4*d*x**19/19 + 5*a*c**4*e*x**21/21 + c**5*d*x**23/23 + c**5*e*x**25/25","A",0
3,1,150,0,0.088603," ","integrate(x*(e*x**2+d)*(c*x**4+a)**5,x)","\frac{a^{5} d x^{2}}{2} + \frac{a^{5} e x^{4}}{4} + \frac{5 a^{4} c d x^{6}}{6} + \frac{5 a^{4} c e x^{8}}{8} + a^{3} c^{2} d x^{10} + \frac{5 a^{3} c^{2} e x^{12}}{6} + \frac{5 a^{2} c^{3} d x^{14}}{7} + \frac{5 a^{2} c^{3} e x^{16}}{8} + \frac{5 a c^{4} d x^{18}}{18} + \frac{a c^{4} e x^{20}}{4} + \frac{c^{5} d x^{22}}{22} + \frac{c^{5} e x^{24}}{24}"," ",0,"a**5*d*x**2/2 + a**5*e*x**4/4 + 5*a**4*c*d*x**6/6 + 5*a**4*c*e*x**8/8 + a**3*c**2*d*x**10 + 5*a**3*c**2*e*x**12/6 + 5*a**2*c**3*d*x**14/7 + 5*a**2*c**3*e*x**16/8 + 5*a*c**4*d*x**18/18 + a*c**4*e*x**20/4 + c**5*d*x**22/22 + c**5*e*x**24/24","A",0
4,1,148,0,0.088533," ","integrate((e*x**2+d)*(c*x**4+a)**5,x)","a^{5} d x + \frac{a^{5} e x^{3}}{3} + a^{4} c d x^{5} + \frac{5 a^{4} c e x^{7}}{7} + \frac{10 a^{3} c^{2} d x^{9}}{9} + \frac{10 a^{3} c^{2} e x^{11}}{11} + \frac{10 a^{2} c^{3} d x^{13}}{13} + \frac{2 a^{2} c^{3} e x^{15}}{3} + \frac{5 a c^{4} d x^{17}}{17} + \frac{5 a c^{4} e x^{19}}{19} + \frac{c^{5} d x^{21}}{21} + \frac{c^{5} e x^{23}}{23}"," ",0,"a**5*d*x + a**5*e*x**3/3 + a**4*c*d*x**5 + 5*a**4*c*e*x**7/7 + 10*a**3*c**2*d*x**9/9 + 10*a**3*c**2*e*x**11/11 + 10*a**2*c**3*d*x**13/13 + 2*a**2*c**3*e*x**15/3 + 5*a*c**4*d*x**17/17 + 5*a*c**4*e*x**19/19 + c**5*d*x**21/21 + c**5*e*x**23/23","A",0
5,1,150,0,0.250257," ","integrate((e*x**2+d)*(c*x**4+a)**5/x,x)","a^{5} d \log{\left(x \right)} + \frac{a^{5} e x^{2}}{2} + \frac{5 a^{4} c d x^{4}}{4} + \frac{5 a^{4} c e x^{6}}{6} + \frac{5 a^{3} c^{2} d x^{8}}{4} + a^{3} c^{2} e x^{10} + \frac{5 a^{2} c^{3} d x^{12}}{6} + \frac{5 a^{2} c^{3} e x^{14}}{7} + \frac{5 a c^{4} d x^{16}}{16} + \frac{5 a c^{4} e x^{18}}{18} + \frac{c^{5} d x^{20}}{20} + \frac{c^{5} e x^{22}}{22}"," ",0,"a**5*d*log(x) + a**5*e*x**2/2 + 5*a**4*c*d*x**4/4 + 5*a**4*c*e*x**6/6 + 5*a**3*c**2*d*x**8/4 + a**3*c**2*e*x**10 + 5*a**2*c**3*d*x**12/6 + 5*a**2*c**3*e*x**14/7 + 5*a*c**4*d*x**16/16 + 5*a*c**4*e*x**18/18 + c**5*d*x**20/20 + c**5*e*x**22/22","A",0
6,1,143,0,0.244386," ","integrate((e*x**2+d)*(c*x**4+a)**5/x**2,x)","- \frac{a^{5} d}{x} + a^{5} e x + \frac{5 a^{4} c d x^{3}}{3} + a^{4} c e x^{5} + \frac{10 a^{3} c^{2} d x^{7}}{7} + \frac{10 a^{3} c^{2} e x^{9}}{9} + \frac{10 a^{2} c^{3} d x^{11}}{11} + \frac{10 a^{2} c^{3} e x^{13}}{13} + \frac{a c^{4} d x^{15}}{3} + \frac{5 a c^{4} e x^{17}}{17} + \frac{c^{5} d x^{19}}{19} + \frac{c^{5} e x^{21}}{21}"," ",0,"-a**5*d/x + a**5*e*x + 5*a**4*c*d*x**3/3 + a**4*c*e*x**5 + 10*a**3*c**2*d*x**7/7 + 10*a**3*c**2*e*x**9/9 + 10*a**2*c**3*d*x**11/11 + 10*a**2*c**3*e*x**13/13 + a*c**4*d*x**15/3 + 5*a*c**4*e*x**17/17 + c**5*d*x**19/19 + c**5*e*x**21/21","A",0
7,1,150,0,0.279206," ","integrate((e*x**2+d)*(c*x**4+a)**5/x**3,x)","- \frac{a^{5} d}{2 x^{2}} + a^{5} e \log{\left(x \right)} + \frac{5 a^{4} c d x^{2}}{2} + \frac{5 a^{4} c e x^{4}}{4} + \frac{5 a^{3} c^{2} d x^{6}}{3} + \frac{5 a^{3} c^{2} e x^{8}}{4} + a^{2} c^{3} d x^{10} + \frac{5 a^{2} c^{3} e x^{12}}{6} + \frac{5 a c^{4} d x^{14}}{14} + \frac{5 a c^{4} e x^{16}}{16} + \frac{c^{5} d x^{18}}{18} + \frac{c^{5} e x^{20}}{20}"," ",0,"-a**5*d/(2*x**2) + a**5*e*log(x) + 5*a**4*c*d*x**2/2 + 5*a**4*c*e*x**4/4 + 5*a**3*c**2*d*x**6/3 + 5*a**3*c**2*e*x**8/4 + a**2*c**3*d*x**10 + 5*a**2*c**3*e*x**12/6 + 5*a*c**4*d*x**14/14 + 5*a*c**4*e*x**16/16 + c**5*d*x**18/18 + c**5*e*x**20/20","A",0
8,1,97,0,6.014718," ","integrate(x**5*(3*x**2+2)*(x**4+5)**(1/2),x)","\frac{x^{10}}{4 \sqrt{x^{4} + 5}} + \frac{3 x^{8} \sqrt{x^{4} + 5}}{10} + \frac{15 x^{6}}{8 \sqrt{x^{4} + 5}} + \frac{x^{4} \sqrt{x^{4} + 5}}{2} + \frac{25 x^{2}}{8 \sqrt{x^{4} + 5}} - 5 \sqrt{x^{4} + 5} - \frac{25 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{8}"," ",0,"x**10/(4*sqrt(x**4 + 5)) + 3*x**8*sqrt(x**4 + 5)/10 + 15*x**6/(8*sqrt(x**4 + 5)) + x**4*sqrt(x**4 + 5)/2 + 25*x**2/(8*sqrt(x**4 + 5)) - 5*sqrt(x**4 + 5) - 25*asinh(sqrt(5)*x**2/5)/8","A",0
9,1,70,0,4.306642," ","integrate(x**3*(3*x**2+2)*(x**4+5)**(1/2),x)","\frac{3 x^{10}}{8 \sqrt{x^{4} + 5}} + \frac{45 x^{6}}{16 \sqrt{x^{4} + 5}} + \frac{75 x^{2}}{16 \sqrt{x^{4} + 5}} + \frac{\left(x^{4} + 5\right)^{\frac{3}{2}}}{3} - \frac{75 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{16}"," ",0,"3*x**10/(8*sqrt(x**4 + 5)) + 45*x**6/(16*sqrt(x**4 + 5)) + 75*x**2/(16*sqrt(x**4 + 5)) + (x**4 + 5)**(3/2)/3 - 75*asinh(sqrt(5)*x**2/5)/16","A",0
10,1,53,0,3.083201," ","integrate(x*(3*x**2+2)*(x**4+5)**(1/2),x)","\frac{x^{6}}{2 \sqrt{x^{4} + 5}} + \frac{5 x^{2}}{2 \sqrt{x^{4} + 5}} + \frac{\left(x^{4} + 5\right)^{\frac{3}{2}}}{2} + \frac{5 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{2}"," ",0,"x**6/(2*sqrt(x**4 + 5)) + 5*x**2/(2*sqrt(x**4 + 5)) + (x**4 + 5)**(3/2)/2 + 5*asinh(sqrt(5)*x**2/5)/2","A",0
11,1,83,0,15.587775," ","integrate((3*x**2+2)*(x**4+5)**(1/2)/x,x)","\frac{3 x^{6}}{4 \sqrt{x^{4} + 5}} + \frac{15 x^{2}}{4 \sqrt{x^{4} + 5}} + \sqrt{x^{4} + 5} + \frac{\sqrt{5} \log{\left(x^{4} \right)}}{2} - \sqrt{5} \log{\left(\sqrt{\frac{x^{4}}{5} + 1} + 1 \right)} + \frac{15 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{4}"," ",0,"3*x**6/(4*sqrt(x**4 + 5)) + 15*x**2/(4*sqrt(x**4 + 5)) + sqrt(x**4 + 5) + sqrt(5)*log(x**4)/2 - sqrt(5)*log(sqrt(x**4/5 + 1) + 1) + 15*asinh(sqrt(5)*x**2/5)/4","A",0
12,1,83,0,7.460052," ","integrate((3*x**2+2)*(x**4+5)**(1/2)/x**3,x)","- \frac{x^{2}}{\sqrt{x^{4} + 5}} + \frac{3 \sqrt{x^{4} + 5}}{2} + \frac{3 \sqrt{5} \log{\left(x^{4} \right)}}{4} - \frac{3 \sqrt{5} \log{\left(\sqrt{\frac{x^{4}}{5} + 1} + 1 \right)}}{2} + \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)} - \frac{5}{x^{2} \sqrt{x^{4} + 5}}"," ",0,"-x**2/sqrt(x**4 + 5) + 3*sqrt(x**4 + 5)/2 + 3*sqrt(5)*log(x**4)/4 - 3*sqrt(5)*log(sqrt(x**4/5 + 1) + 1)/2 + asinh(sqrt(5)*x**2/5) - 5/(x**2*sqrt(x**4 + 5))","A",0
13,1,76,0,6.041683," ","integrate((3*x**2+2)*(x**4+5)**(1/2)/x**5,x)","- \frac{3 x^{2}}{2 \sqrt{x^{4} + 5}} - \frac{\sqrt{5} \operatorname{asinh}{\left(\frac{\sqrt{5}}{x^{2}} \right)}}{10} + \frac{3 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{2} - \frac{\sqrt{1 + \frac{5}{x^{4}}}}{2 x^{2}} - \frac{15}{2 x^{2} \sqrt{x^{4} + 5}}"," ",0,"-3*x**2/(2*sqrt(x**4 + 5)) - sqrt(5)*asinh(sqrt(5)/x**2)/10 + 3*asinh(sqrt(5)*x**2/5)/2 - sqrt(1 + 5/x**4)/(2*x**2) - 15/(2*x**2*sqrt(x**4 + 5))","A",0
14,1,63,0,5.956054," ","integrate((3*x**2+2)*(x**4+5)**(1/2)/x**7,x)","- \frac{\sqrt{1 + \frac{5}{x^{4}}}}{15} - \frac{3 \sqrt{5} \operatorname{asinh}{\left(\frac{\sqrt{5}}{x^{2}} \right)}}{20} - \frac{3 \sqrt{1 + \frac{5}{x^{4}}}}{4 x^{2}} - \frac{\sqrt{1 + \frac{5}{x^{4}}}}{3 x^{4}}"," ",0,"-sqrt(1 + 5/x**4)/15 - 3*sqrt(5)*asinh(sqrt(5)/x**2)/20 - 3*sqrt(1 + 5/x**4)/(4*x**2) - sqrt(1 + 5/x**4)/(3*x**4)","A",0
15,1,78,0,2.333159," ","integrate(x**4*(3*x**2+2)*(x**4+5)**(1/2),x)","\frac{3 \sqrt{5} x^{7} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 \Gamma\left(\frac{11}{4}\right)} + \frac{\sqrt{5} x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 \Gamma\left(\frac{9}{4}\right)}"," ",0,"3*sqrt(5)*x**7*gamma(7/4)*hyper((-1/2, 7/4), (11/4,), x**4*exp_polar(I*pi)/5)/(4*gamma(11/4)) + sqrt(5)*x**5*gamma(5/4)*hyper((-1/2, 5/4), (9/4,), x**4*exp_polar(I*pi)/5)/(2*gamma(9/4))","C",0
16,1,78,0,2.141005," ","integrate(x**2*(3*x**2+2)*(x**4+5)**(1/2),x)","\frac{3 \sqrt{5} x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 \Gamma\left(\frac{9}{4}\right)} + \frac{\sqrt{5} x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 \Gamma\left(\frac{7}{4}\right)}"," ",0,"3*sqrt(5)*x**5*gamma(5/4)*hyper((-1/2, 5/4), (9/4,), x**4*exp_polar(I*pi)/5)/(4*gamma(9/4)) + sqrt(5)*x**3*gamma(3/4)*hyper((-1/2, 3/4), (7/4,), x**4*exp_polar(I*pi)/5)/(2*gamma(7/4))","C",0
17,1,76,0,2.015761," ","integrate((3*x**2+2)*(x**4+5)**(1/2),x)","\frac{3 \sqrt{5} x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 \Gamma\left(\frac{7}{4}\right)} + \frac{\sqrt{5} x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 \Gamma\left(\frac{5}{4}\right)}"," ",0,"3*sqrt(5)*x**3*gamma(3/4)*hyper((-1/2, 3/4), (7/4,), x**4*exp_polar(I*pi)/5)/(4*gamma(7/4)) + sqrt(5)*x*gamma(1/4)*hyper((-1/2, 1/4), (5/4,), x**4*exp_polar(I*pi)/5)/(2*gamma(5/4))","C",0
18,1,78,0,2.304220," ","integrate((3*x**2+2)*(x**4+5)**(1/2)/x**2,x)","\frac{3 \sqrt{5} x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)} + \frac{\sqrt{5} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 x \Gamma\left(\frac{3}{4}\right)}"," ",0,"3*sqrt(5)*x*gamma(1/4)*hyper((-1/2, 1/4), (5/4,), x**4*exp_polar(I*pi)/5)/(4*gamma(5/4)) + sqrt(5)*gamma(-1/4)*hyper((-1/2, -1/4), (3/4,), x**4*exp_polar(I*pi)/5)/(2*x*gamma(3/4))","C",0
19,1,83,0,2.500208," ","integrate((3*x**2+2)*(x**4+5)**(1/2)/x**4,x)","\frac{3 \sqrt{5} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 x \Gamma\left(\frac{3}{4}\right)} + \frac{\sqrt{5} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{2} \\ \frac{1}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 x^{3} \Gamma\left(\frac{1}{4}\right)}"," ",0,"3*sqrt(5)*gamma(-1/4)*hyper((-1/2, -1/4), (3/4,), x**4*exp_polar(I*pi)/5)/(4*x*gamma(3/4)) + sqrt(5)*gamma(-3/4)*hyper((-3/4, -1/2), (1/4,), x**4*exp_polar(I*pi)/5)/(2*x**3*gamma(1/4))","C",0
20,1,131,0,14.314138," ","integrate(x**5*(3*x**2+2)*(x**4+5)**(3/2),x)","\frac{x^{14}}{6 \sqrt{x^{4} + 5}} + \frac{3 x^{12} \sqrt{x^{4} + 5}}{14} + \frac{55 x^{10}}{24 \sqrt{x^{4} + 5}} + \frac{12 x^{8} \sqrt{x^{4} + 5}}{7} + \frac{425 x^{6}}{48 \sqrt{x^{4} + 5}} + \frac{15 x^{4} \sqrt{x^{4} + 5}}{14} + \frac{125 x^{2}}{16 \sqrt{x^{4} + 5}} - \frac{75 \sqrt{x^{4} + 5}}{7} - \frac{125 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{16}"," ",0,"x**14/(6*sqrt(x**4 + 5)) + 3*x**12*sqrt(x**4 + 5)/14 + 55*x**10/(24*sqrt(x**4 + 5)) + 12*x**8*sqrt(x**4 + 5)/7 + 425*x**6/(48*sqrt(x**4 + 5)) + 15*x**4*sqrt(x**4 + 5)/14 + 125*x**2/(16*sqrt(x**4 + 5)) - 75*sqrt(x**4 + 5)/7 - 125*asinh(sqrt(5)*x**2/5)/16","A",0
21,1,124,0,11.572328," ","integrate(x**3*(3*x**2+2)*(x**4+5)**(3/2),x)","\frac{x^{14}}{4 \sqrt{x^{4} + 5}} + \frac{55 x^{10}}{16 \sqrt{x^{4} + 5}} + \frac{x^{8} \sqrt{x^{4} + 5}}{5} + \frac{425 x^{6}}{32 \sqrt{x^{4} + 5}} + \frac{x^{4} \sqrt{x^{4} + 5}}{3} + \frac{375 x^{2}}{32 \sqrt{x^{4} + 5}} + \frac{5 \left(x^{4} + 5\right)^{\frac{3}{2}}}{3} - \frac{10 \sqrt{x^{4} + 5}}{3} - \frac{375 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{32}"," ",0,"x**14/(4*sqrt(x**4 + 5)) + 55*x**10/(16*sqrt(x**4 + 5)) + x**8*sqrt(x**4 + 5)/5 + 425*x**6/(32*sqrt(x**4 + 5)) + x**4*sqrt(x**4 + 5)/3 + 375*x**2/(32*sqrt(x**4 + 5)) + 5*(x**4 + 5)**(3/2)/3 - 10*sqrt(x**4 + 5)/3 - 375*asinh(sqrt(5)*x**2/5)/32","B",0
22,1,109,0,8.192532," ","integrate(x*(3*x**2+2)*(x**4+5)**(3/2),x)","\frac{x^{10}}{4 \sqrt{x^{4} + 5}} + \frac{3 x^{8} \sqrt{x^{4} + 5}}{10} + \frac{35 x^{6}}{8 \sqrt{x^{4} + 5}} + \frac{x^{4} \sqrt{x^{4} + 5}}{2} + \frac{125 x^{2}}{8 \sqrt{x^{4} + 5}} + \frac{5 \left(x^{4} + 5\right)^{\frac{3}{2}}}{2} - 5 \sqrt{x^{4} + 5} + \frac{75 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{8}"," ",0,"x**10/(4*sqrt(x**4 + 5)) + 3*x**8*sqrt(x**4 + 5)/10 + 35*x**6/(8*sqrt(x**4 + 5)) + x**4*sqrt(x**4 + 5)/2 + 125*x**2/(8*sqrt(x**4 + 5)) + 5*(x**4 + 5)**(3/2)/2 - 5*sqrt(x**4 + 5) + 75*asinh(sqrt(5)*x**2/5)/8","B",0
23,1,114,0,33.671746," ","integrate((3*x**2+2)*(x**4+5)**(3/2)/x,x)","\frac{3 x^{10}}{8 \sqrt{x^{4} + 5}} + \frac{105 x^{6}}{16 \sqrt{x^{4} + 5}} + \frac{375 x^{2}}{16 \sqrt{x^{4} + 5}} + \frac{\left(x^{4} + 5\right)^{\frac{3}{2}}}{3} + 5 \sqrt{x^{4} + 5} + \frac{5 \sqrt{5} \log{\left(x^{4} \right)}}{2} - 5 \sqrt{5} \log{\left(\sqrt{\frac{x^{4}}{5} + 1} + 1 \right)} + \frac{225 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{16}"," ",0,"3*x**10/(8*sqrt(x**4 + 5)) + 105*x**6/(16*sqrt(x**4 + 5)) + 375*x**2/(16*sqrt(x**4 + 5)) + (x**4 + 5)**(3/2)/3 + 5*sqrt(x**4 + 5) + 5*sqrt(5)*log(x**4)/2 - 5*sqrt(5)*log(sqrt(x**4/5 + 1) + 1) + 225*asinh(sqrt(5)*x**2/5)/16","A",0
24,1,114,0,11.391028," ","integrate((3*x**2+2)*(x**4+5)**(3/2)/x**3,x)","\frac{x^{6}}{2 \sqrt{x^{4} + 5}} - \frac{5 x^{2}}{2 \sqrt{x^{4} + 5}} + \frac{\left(x^{4} + 5\right)^{\frac{3}{2}}}{2} + \frac{15 \sqrt{x^{4} + 5}}{2} + \frac{15 \sqrt{5} \log{\left(x^{4} \right)}}{4} - \frac{15 \sqrt{5} \log{\left(\sqrt{\frac{x^{4}}{5} + 1} + 1 \right)}}{2} + \frac{15 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{2} - \frac{25}{x^{2} \sqrt{x^{4} + 5}}"," ",0,"x**6/(2*sqrt(x**4 + 5)) - 5*x**2/(2*sqrt(x**4 + 5)) + (x**4 + 5)**(3/2)/2 + 15*sqrt(x**4 + 5)/2 + 15*sqrt(5)*log(x**4)/4 - 15*sqrt(5)*log(sqrt(x**4/5 + 1) + 1)/2 + 15*asinh(sqrt(5)*x**2/5)/2 - 25/(x**2*sqrt(x**4 + 5))","A",0
25,1,133,0,12.754940," ","integrate((3*x**2+2)*(x**4+5)**(3/2)/x**5,x)","\frac{3 x^{6}}{4 \sqrt{x^{4} + 5}} - \frac{15 x^{2}}{4 \sqrt{x^{4} + 5}} + \sqrt{x^{4} + 5} + \frac{\sqrt{5} \log{\left(x^{4} \right)}}{2} - \sqrt{5} \log{\left(\sqrt{\frac{x^{4}}{5} + 1} + 1 \right)} - \frac{\sqrt{5} \operatorname{asinh}{\left(\frac{\sqrt{5}}{x^{2}} \right)}}{2} + \frac{45 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{4} - \frac{5 \sqrt{1 + \frac{5}{x^{4}}}}{2 x^{2}} - \frac{75}{2 x^{2} \sqrt{x^{4} + 5}}"," ",0,"3*x**6/(4*sqrt(x**4 + 5)) - 15*x**2/(4*sqrt(x**4 + 5)) + sqrt(x**4 + 5) + sqrt(5)*log(x**4)/2 - sqrt(5)*log(sqrt(x**4/5 + 1) + 1) - sqrt(5)*asinh(sqrt(5)/x**2)/2 + 45*asinh(sqrt(5)*x**2/5)/4 - 5*sqrt(1 + 5/x**4)/(2*x**2) - 75/(2*x**2*sqrt(x**4 + 5))","A",0
26,1,148,0,12.557585," ","integrate((3*x**2+2)*(x**4+5)**(3/2)/x**7,x)","- \frac{x^{2}}{\sqrt{x^{4} + 5}} - \frac{\sqrt{1 + \frac{5}{x^{4}}}}{3} + \frac{3 \sqrt{x^{4} + 5}}{2} + \frac{3 \sqrt{5} \log{\left(x^{4} \right)}}{4} - \frac{3 \sqrt{5} \log{\left(\sqrt{\frac{x^{4}}{5} + 1} + 1 \right)}}{2} - \frac{3 \sqrt{5} \operatorname{asinh}{\left(\frac{\sqrt{5}}{x^{2}} \right)}}{4} + \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)} - \frac{15 \sqrt{1 + \frac{5}{x^{4}}}}{4 x^{2}} - \frac{5}{x^{2} \sqrt{x^{4} + 5}} - \frac{5 \sqrt{1 + \frac{5}{x^{4}}}}{3 x^{4}}"," ",0,"-x**2/sqrt(x**4 + 5) - sqrt(1 + 5/x**4)/3 + 3*sqrt(x**4 + 5)/2 + 3*sqrt(5)*log(x**4)/4 - 3*sqrt(5)*log(sqrt(x**4/5 + 1) + 1)/2 - 3*sqrt(5)*asinh(sqrt(5)/x**2)/4 + asinh(sqrt(5)*x**2/5) - 15*sqrt(1 + 5/x**4)/(4*x**2) - 5/(x**2*sqrt(x**4 + 5)) - 5*sqrt(1 + 5/x**4)/(3*x**4)","A",0
27,1,160,0,3.968593," ","integrate(x**4*(3*x**2+2)*(x**4+5)**(3/2),x)","\frac{3 \sqrt{5} x^{11} \Gamma\left(\frac{11}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{11}{4} \\ \frac{15}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 \Gamma\left(\frac{15}{4}\right)} + \frac{\sqrt{5} x^{9} \Gamma\left(\frac{9}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{9}{4} \\ \frac{13}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 \Gamma\left(\frac{13}{4}\right)} + \frac{15 \sqrt{5} x^{7} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 \Gamma\left(\frac{11}{4}\right)} + \frac{5 \sqrt{5} x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 \Gamma\left(\frac{9}{4}\right)}"," ",0,"3*sqrt(5)*x**11*gamma(11/4)*hyper((-1/2, 11/4), (15/4,), x**4*exp_polar(I*pi)/5)/(4*gamma(15/4)) + sqrt(5)*x**9*gamma(9/4)*hyper((-1/2, 9/4), (13/4,), x**4*exp_polar(I*pi)/5)/(2*gamma(13/4)) + 15*sqrt(5)*x**7*gamma(7/4)*hyper((-1/2, 7/4), (11/4,), x**4*exp_polar(I*pi)/5)/(4*gamma(11/4)) + 5*sqrt(5)*x**5*gamma(5/4)*hyper((-1/2, 5/4), (9/4,), x**4*exp_polar(I*pi)/5)/(2*gamma(9/4))","C",0
28,1,160,0,3.654474," ","integrate(x**2*(3*x**2+2)*(x**4+5)**(3/2),x)","\frac{3 \sqrt{5} x^{9} \Gamma\left(\frac{9}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{9}{4} \\ \frac{13}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 \Gamma\left(\frac{13}{4}\right)} + \frac{\sqrt{5} x^{7} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 \Gamma\left(\frac{11}{4}\right)} + \frac{15 \sqrt{5} x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 \Gamma\left(\frac{9}{4}\right)} + \frac{5 \sqrt{5} x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 \Gamma\left(\frac{7}{4}\right)}"," ",0,"3*sqrt(5)*x**9*gamma(9/4)*hyper((-1/2, 9/4), (13/4,), x**4*exp_polar(I*pi)/5)/(4*gamma(13/4)) + sqrt(5)*x**7*gamma(7/4)*hyper((-1/2, 7/4), (11/4,), x**4*exp_polar(I*pi)/5)/(2*gamma(11/4)) + 15*sqrt(5)*x**5*gamma(5/4)*hyper((-1/2, 5/4), (9/4,), x**4*exp_polar(I*pi)/5)/(4*gamma(9/4)) + 5*sqrt(5)*x**3*gamma(3/4)*hyper((-1/2, 3/4), (7/4,), x**4*exp_polar(I*pi)/5)/(2*gamma(7/4))","C",0
29,1,158,0,3.628796," ","integrate((3*x**2+2)*(x**4+5)**(3/2),x)","\frac{3 \sqrt{5} x^{7} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 \Gamma\left(\frac{11}{4}\right)} + \frac{\sqrt{5} x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 \Gamma\left(\frac{9}{4}\right)} + \frac{15 \sqrt{5} x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 \Gamma\left(\frac{7}{4}\right)} + \frac{5 \sqrt{5} x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 \Gamma\left(\frac{5}{4}\right)}"," ",0,"3*sqrt(5)*x**7*gamma(7/4)*hyper((-1/2, 7/4), (11/4,), x**4*exp_polar(I*pi)/5)/(4*gamma(11/4)) + sqrt(5)*x**5*gamma(5/4)*hyper((-1/2, 5/4), (9/4,), x**4*exp_polar(I*pi)/5)/(2*gamma(9/4)) + 15*sqrt(5)*x**3*gamma(3/4)*hyper((-1/2, 3/4), (7/4,), x**4*exp_polar(I*pi)/5)/(4*gamma(7/4)) + 5*sqrt(5)*x*gamma(1/4)*hyper((-1/2, 1/4), (5/4,), x**4*exp_polar(I*pi)/5)/(2*gamma(5/4))","C",0
30,1,160,0,4.257370," ","integrate((3*x**2+2)*(x**4+5)**(3/2)/x**2,x)","\frac{3 \sqrt{5} x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 \Gamma\left(\frac{9}{4}\right)} + \frac{\sqrt{5} x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 \Gamma\left(\frac{7}{4}\right)} + \frac{15 \sqrt{5} x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 \Gamma\left(\frac{5}{4}\right)} + \frac{5 \sqrt{5} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 x \Gamma\left(\frac{3}{4}\right)}"," ",0,"3*sqrt(5)*x**5*gamma(5/4)*hyper((-1/2, 5/4), (9/4,), x**4*exp_polar(I*pi)/5)/(4*gamma(9/4)) + sqrt(5)*x**3*gamma(3/4)*hyper((-1/2, 3/4), (7/4,), x**4*exp_polar(I*pi)/5)/(2*gamma(7/4)) + 15*sqrt(5)*x*gamma(1/4)*hyper((-1/2, 1/4), (5/4,), x**4*exp_polar(I*pi)/5)/(4*gamma(5/4)) + 5*sqrt(5)*gamma(-1/4)*hyper((-1/2, -1/4), (3/4,), x**4*exp_polar(I*pi)/5)/(2*x*gamma(3/4))","C",0
31,1,163,0,4.121154," ","integrate((3*x**2+2)*(x**4+5)**(3/2)/x**4,x)","\frac{3 \sqrt{5} x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 \Gamma\left(\frac{7}{4}\right)} + \frac{\sqrt{5} x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{4} \\ \frac{5}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 \Gamma\left(\frac{5}{4}\right)} + \frac{15 \sqrt{5} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4} \\ \frac{3}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{4 x \Gamma\left(\frac{3}{4}\right)} + \frac{5 \sqrt{5} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{2} \\ \frac{1}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{2 x^{3} \Gamma\left(\frac{1}{4}\right)}"," ",0,"3*sqrt(5)*x**3*gamma(3/4)*hyper((-1/2, 3/4), (7/4,), x**4*exp_polar(I*pi)/5)/(4*gamma(7/4)) + sqrt(5)*x*gamma(1/4)*hyper((-1/2, 1/4), (5/4,), x**4*exp_polar(I*pi)/5)/(2*gamma(5/4)) + 15*sqrt(5)*gamma(-1/4)*hyper((-1/2, -1/4), (3/4,), x**4*exp_polar(I*pi)/5)/(4*x*gamma(3/4)) + 5*sqrt(5)*gamma(-3/4)*hyper((-3/4, -1/2), (1/4,), x**4*exp_polar(I*pi)/5)/(2*x**3*gamma(1/4))","C",0
32,1,85,0,7.072387," ","integrate(x**7*(3*x**2+2)/(x**4+5)**(1/2),x)","\frac{3 x^{10}}{8 \sqrt{x^{4} + 5}} - \frac{15 x^{6}}{16 \sqrt{x^{4} + 5}} + \frac{x^{4} \sqrt{x^{4} + 5}}{3} - \frac{225 x^{2}}{16 \sqrt{x^{4} + 5}} - \frac{10 \sqrt{x^{4} + 5}}{3} + \frac{225 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{16}"," ",0,"3*x**10/(8*sqrt(x**4 + 5)) - 15*x**6/(16*sqrt(x**4 + 5)) + x**4*sqrt(x**4 + 5)/3 - 225*x**2/(16*sqrt(x**4 + 5)) - 10*sqrt(x**4 + 5)/3 + 225*asinh(sqrt(5)*x**2/5)/16","A",0
33,1,66,0,5.518863," ","integrate(x**5*(3*x**2+2)/(x**4+5)**(1/2),x)","\frac{x^{6}}{2 \sqrt{x^{4} + 5}} + \frac{x^{4} \sqrt{x^{4} + 5}}{2} + \frac{5 x^{2}}{2 \sqrt{x^{4} + 5}} - 5 \sqrt{x^{4} + 5} - \frac{5 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{2}"," ",0,"x**6/(2*sqrt(x**4 + 5)) + x**4*sqrt(x**4 + 5)/2 + 5*x**2/(2*sqrt(x**4 + 5)) - 5*sqrt(x**4 + 5) - 5*asinh(sqrt(5)*x**2/5)/2","A",0
34,1,53,0,4.040803," ","integrate(x**3*(3*x**2+2)/(x**4+5)**(1/2),x)","\frac{3 x^{6}}{4 \sqrt{x^{4} + 5}} + \frac{15 x^{2}}{4 \sqrt{x^{4} + 5}} + \sqrt{x^{4} + 5} - \frac{15 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{4}"," ",0,"3*x**6/(4*sqrt(x**4 + 5)) + 15*x**2/(4*sqrt(x**4 + 5)) + sqrt(x**4 + 5) - 15*asinh(sqrt(5)*x**2/5)/4","A",0
35,1,22,0,2.131004," ","integrate(x*(3*x**2+2)/(x**4+5)**(1/2),x)","\frac{3 \sqrt{x^{4} + 5}}{2} + \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}"," ",0,"3*sqrt(x**4 + 5)/2 + asinh(sqrt(5)*x**2/5)","A",0
36,1,31,0,6.007596," ","integrate((3*x**2+2)/x/(x**4+5)**(1/2),x)","- \frac{\sqrt{5} \operatorname{asinh}{\left(\frac{\sqrt{5}}{x^{2}} \right)}}{5} + \frac{3 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{2}"," ",0,"-sqrt(5)*asinh(sqrt(5)/x**2)/5 + 3*asinh(sqrt(5)*x**2/5)/2","A",0
37,1,31,0,3.596663," ","integrate((3*x**2+2)/x**3/(x**4+5)**(1/2),x)","- \frac{\sqrt{1 + \frac{5}{x^{4}}}}{5} - \frac{3 \sqrt{5} \operatorname{asinh}{\left(\frac{\sqrt{5}}{x^{2}} \right)}}{10}"," ",0,"-sqrt(1 + 5/x**4)/5 - 3*sqrt(5)*asinh(sqrt(5)/x**2)/10","A",0
38,1,88,0,14.329135," ","integrate((3*x**2+2)/x**5/(x**4+5)**(1/2),x)","\frac{\sqrt{5} \left(- \frac{\log{\left(\sqrt{\frac{x^{4}}{5} + 1} - 1 \right)}}{4} + \frac{\log{\left(\sqrt{\frac{x^{4}}{5} + 1} + 1 \right)}}{4} - \frac{1}{4 \left(\sqrt{\frac{x^{4}}{5} + 1} + 1\right)} - \frac{1}{4 \left(\sqrt{\frac{x^{4}}{5} + 1} - 1\right)}\right)}{25} - \frac{3 \sqrt{5} \sqrt{5 x^{4} + 25}}{50 x^{2}}"," ",0,"sqrt(5)*(-log(sqrt(x**4/5 + 1) - 1)/4 + log(sqrt(x**4/5 + 1) + 1)/4 - 1/(4*(sqrt(x**4/5 + 1) + 1)) - 1/(4*(sqrt(x**4/5 + 1) - 1)))/25 - 3*sqrt(5)*sqrt(5*x**4 + 25)/(50*x**2)","A",0
39,1,75,0,2.550850," ","integrate(x**4*(3*x**2+2)/(x**4+5)**(1/2),x)","\frac{3 \sqrt{5} x^{7} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{20 \Gamma\left(\frac{11}{4}\right)} + \frac{\sqrt{5} x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{10 \Gamma\left(\frac{9}{4}\right)}"," ",0,"3*sqrt(5)*x**7*gamma(7/4)*hyper((1/2, 7/4), (11/4,), x**4*exp_polar(I*pi)/5)/(20*gamma(11/4)) + sqrt(5)*x**5*gamma(5/4)*hyper((1/2, 5/4), (9/4,), x**4*exp_polar(I*pi)/5)/(10*gamma(9/4))","C",0
40,1,75,0,2.360181," ","integrate(x**2*(3*x**2+2)/(x**4+5)**(1/2),x)","\frac{3 \sqrt{5} x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{5}{4} \\ \frac{9}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{20 \Gamma\left(\frac{9}{4}\right)} + \frac{\sqrt{5} x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{10 \Gamma\left(\frac{7}{4}\right)}"," ",0,"3*sqrt(5)*x**5*gamma(5/4)*hyper((1/2, 5/4), (9/4,), x**4*exp_polar(I*pi)/5)/(20*gamma(9/4)) + sqrt(5)*x**3*gamma(3/4)*hyper((1/2, 3/4), (7/4,), x**4*exp_polar(I*pi)/5)/(10*gamma(7/4))","C",0
41,1,73,0,1.705420," ","integrate((3*x**2+2)/(x**4+5)**(1/2),x)","\frac{3 \sqrt{5} x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4} \\ \frac{7}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{20 \Gamma\left(\frac{7}{4}\right)} + \frac{\sqrt{5} x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{2} \\ \frac{5}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{10 \Gamma\left(\frac{5}{4}\right)}"," ",0,"3*sqrt(5)*x**3*gamma(3/4)*hyper((1/2, 3/4), (7/4,), x**4*exp_polar(I*pi)/5)/(20*gamma(7/4)) + sqrt(5)*x*gamma(1/4)*hyper((1/4, 1/2), (5/4,), x**4*exp_polar(I*pi)/5)/(10*gamma(5/4))","C",0
42,1,75,0,1.818784," ","integrate((3*x**2+2)/x**2/(x**4+5)**(1/2),x)","\frac{3 \sqrt{5} x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{1}{2} \\ \frac{5}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{20 \Gamma\left(\frac{5}{4}\right)} + \frac{\sqrt{5} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{2} \\ \frac{3}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{10 x \Gamma\left(\frac{3}{4}\right)}"," ",0,"3*sqrt(5)*x*gamma(1/4)*hyper((1/4, 1/2), (5/4,), x**4*exp_polar(I*pi)/5)/(20*gamma(5/4)) + sqrt(5)*gamma(-1/4)*hyper((-1/4, 1/2), (3/4,), x**4*exp_polar(I*pi)/5)/(10*x*gamma(3/4))","C",0
43,1,80,0,2.081773," ","integrate((3*x**2+2)/x**4/(x**4+5)**(1/2),x)","\frac{3 \sqrt{5} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{2} \\ \frac{3}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{20 x \Gamma\left(\frac{3}{4}\right)} + \frac{\sqrt{5} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{1}{2} \\ \frac{1}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{10 x^{3} \Gamma\left(\frac{1}{4}\right)}"," ",0,"3*sqrt(5)*gamma(-1/4)*hyper((-1/4, 1/2), (3/4,), x**4*exp_polar(I*pi)/5)/(20*x*gamma(3/4)) + sqrt(5)*gamma(-3/4)*hyper((-3/4, 1/2), (1/4,), x**4*exp_polar(I*pi)/5)/(10*x**3*gamma(1/4))","C",0
44,1,66,0,14.277351," ","integrate(x**7*(3*x**2+2)/(x**4+5)**(3/2),x)","\frac{3 x^{6}}{4 \sqrt{x^{4} + 5}} + \frac{x^{4}}{\sqrt{x^{4} + 5}} + \frac{45 x^{2}}{4 \sqrt{x^{4} + 5}} - \frac{45 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{4} + \frac{10}{\sqrt{x^{4} + 5}}"," ",0,"3*x**6/(4*sqrt(x**4 + 5)) + x**4/sqrt(x**4 + 5) + 45*x**2/(4*sqrt(x**4 + 5)) - 45*asinh(sqrt(5)*x**2/5)/4 + 10/sqrt(x**4 + 5)","A",0
45,1,48,0,12.336425," ","integrate(x**5*(3*x**2+2)/(x**4+5)**(3/2),x)","\frac{3 x^{4}}{2 \sqrt{x^{4} + 5}} - \frac{x^{2}}{\sqrt{x^{4} + 5}} + \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)} + \frac{15}{\sqrt{x^{4} + 5}}"," ",0,"3*x**4/(2*sqrt(x**4 + 5)) - x**2/sqrt(x**4 + 5) + asinh(sqrt(5)*x**2/5) + 15/sqrt(x**4 + 5)","A",0
46,1,39,0,10.675389," ","integrate(x**3*(3*x**2+2)/(x**4+5)**(3/2),x)","- \frac{3 x^{2}}{2 \sqrt{x^{4} + 5}} + \frac{3 \operatorname{asinh}{\left(\frac{\sqrt{5} x^{2}}{5} \right)}}{2} - \frac{1}{\sqrt{x^{4} + 5}}"," ",0,"-3*x**2/(2*sqrt(x**4 + 5)) + 3*asinh(sqrt(5)*x**2/5)/2 - 1/sqrt(x**4 + 5)","A",0
47,1,31,0,7.856477," ","integrate(x*(3*x**2+2)/(x**4+5)**(3/2),x)","\frac{\sqrt{5} x^{2}}{5 \sqrt{5 x^{4} + 25}} - \frac{3}{2 \sqrt{x^{4} + 5}}"," ",0,"sqrt(5)*x**2/(5*sqrt(5*x**4 + 25)) - 3/(2*sqrt(x**4 + 5))","B",0
48,1,212,0,19.618083," ","integrate((3*x**2+2)/x/(x**4+5)**(3/2),x)","\frac{2 x^{4} \log{\left(x^{4} \right)}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}} - \frac{4 x^{4} \log{\left(\sqrt{\frac{x^{4}}{5} + 1} + 1 \right)}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}} - \frac{2 x^{4} \log{\left(5 \right)}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}} + \frac{3 x^{2}}{10 \sqrt{x^{4} + 5}} + \frac{4 \sqrt{5} \sqrt{x^{4} + 5}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}} + \frac{10 \log{\left(x^{4} \right)}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}} - \frac{20 \log{\left(\sqrt{\frac{x^{4}}{5} + 1} + 1 \right)}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}} - \frac{10 \log{\left(5 \right)}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}}"," ",0,"2*x**4*log(x**4)/(20*sqrt(5)*x**4 + 100*sqrt(5)) - 4*x**4*log(sqrt(x**4/5 + 1) + 1)/(20*sqrt(5)*x**4 + 100*sqrt(5)) - 2*x**4*log(5)/(20*sqrt(5)*x**4 + 100*sqrt(5)) + 3*x**2/(10*sqrt(x**4 + 5)) + 4*sqrt(5)*sqrt(x**4 + 5)/(20*sqrt(5)*x**4 + 100*sqrt(5)) + 10*log(x**4)/(20*sqrt(5)*x**4 + 100*sqrt(5)) - 20*log(sqrt(x**4/5 + 1) + 1)/(20*sqrt(5)*x**4 + 100*sqrt(5)) - 10*log(5)/(20*sqrt(5)*x**4 + 100*sqrt(5))","B",0
49,1,228,0,12.982343," ","integrate((3*x**2+2)/x**3/(x**4+5)**(3/2),x)","\frac{3 x^{4} \log{\left(x^{4} \right)}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}} - \frac{6 x^{4} \log{\left(\sqrt{\frac{x^{4}}{5} + 1} + 1 \right)}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}} - \frac{3 x^{4} \log{\left(5 \right)}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}} + \frac{6 \sqrt{5} \sqrt{x^{4} + 5}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}} + \frac{15 \log{\left(x^{4} \right)}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}} - \frac{30 \log{\left(\sqrt{\frac{x^{4}}{5} + 1} + 1 \right)}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}} - \frac{15 \log{\left(5 \right)}}{20 \sqrt{5} x^{4} + 100 \sqrt{5}} - \frac{2}{25 \sqrt{1 + \frac{5}{x^{4}}}} - \frac{1}{5 x^{4} \sqrt{1 + \frac{5}{x^{4}}}}"," ",0,"3*x**4*log(x**4)/(20*sqrt(5)*x**4 + 100*sqrt(5)) - 6*x**4*log(sqrt(x**4/5 + 1) + 1)/(20*sqrt(5)*x**4 + 100*sqrt(5)) - 3*x**4*log(5)/(20*sqrt(5)*x**4 + 100*sqrt(5)) + 6*sqrt(5)*sqrt(x**4 + 5)/(20*sqrt(5)*x**4 + 100*sqrt(5)) + 15*log(x**4)/(20*sqrt(5)*x**4 + 100*sqrt(5)) - 30*log(sqrt(x**4/5 + 1) + 1)/(20*sqrt(5)*x**4 + 100*sqrt(5)) - 15*log(5)/(20*sqrt(5)*x**4 + 100*sqrt(5)) - 2/(25*sqrt(1 + 5/x**4)) - 1/(5*x**4*sqrt(1 + 5/x**4))","B",0
50,1,75,0,5.589548," ","integrate(x**4*(3*x**2+2)/(x**4+5)**(3/2),x)","\frac{3 \sqrt{5} x^{7} \Gamma\left(\frac{7}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{2}, \frac{7}{4} \\ \frac{11}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{100 \Gamma\left(\frac{11}{4}\right)} + \frac{\sqrt{5} x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{5}{4}, \frac{3}{2} \\ \frac{9}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{50 \Gamma\left(\frac{9}{4}\right)}"," ",0,"3*sqrt(5)*x**7*gamma(7/4)*hyper((3/2, 7/4), (11/4,), x**4*exp_polar(I*pi)/5)/(100*gamma(11/4)) + sqrt(5)*x**5*gamma(5/4)*hyper((5/4, 3/2), (9/4,), x**4*exp_polar(I*pi)/5)/(50*gamma(9/4))","C",0
51,1,75,0,5.094918," ","integrate(x**2*(3*x**2+2)/(x**4+5)**(3/2),x)","\frac{3 \sqrt{5} x^{5} \Gamma\left(\frac{5}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{5}{4}, \frac{3}{2} \\ \frac{9}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{100 \Gamma\left(\frac{9}{4}\right)} + \frac{\sqrt{5} x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{2} \\ \frac{7}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{50 \Gamma\left(\frac{7}{4}\right)}"," ",0,"3*sqrt(5)*x**5*gamma(5/4)*hyper((5/4, 3/2), (9/4,), x**4*exp_polar(I*pi)/5)/(100*gamma(9/4)) + sqrt(5)*x**3*gamma(3/4)*hyper((3/4, 3/2), (7/4,), x**4*exp_polar(I*pi)/5)/(50*gamma(7/4))","C",0
52,1,73,0,5.074898," ","integrate((3*x**2+2)/(x**4+5)**(3/2),x)","\frac{3 \sqrt{5} x^{3} \Gamma\left(\frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{3}{4}, \frac{3}{2} \\ \frac{7}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{100 \Gamma\left(\frac{7}{4}\right)} + \frac{\sqrt{5} x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{3}{2} \\ \frac{5}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{50 \Gamma\left(\frac{5}{4}\right)}"," ",0,"3*sqrt(5)*x**3*gamma(3/4)*hyper((3/4, 3/2), (7/4,), x**4*exp_polar(I*pi)/5)/(100*gamma(7/4)) + sqrt(5)*x*gamma(1/4)*hyper((1/4, 3/2), (5/4,), x**4*exp_polar(I*pi)/5)/(50*gamma(5/4))","C",0
53,1,75,0,7.203332," ","integrate((3*x**2+2)/x**2/(x**4+5)**(3/2),x)","\frac{3 \sqrt{5} x \Gamma\left(\frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{4}, \frac{3}{2} \\ \frac{5}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{100 \Gamma\left(\frac{5}{4}\right)} + \frac{\sqrt{5} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{3}{2} \\ \frac{3}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{50 x \Gamma\left(\frac{3}{4}\right)}"," ",0,"3*sqrt(5)*x*gamma(1/4)*hyper((1/4, 3/2), (5/4,), x**4*exp_polar(I*pi)/5)/(100*gamma(5/4)) + sqrt(5)*gamma(-1/4)*hyper((-1/4, 3/2), (3/4,), x**4*exp_polar(I*pi)/5)/(50*x*gamma(3/4))","C",0
54,1,80,0,8.146381," ","integrate((3*x**2+2)/x**4/(x**4+5)**(3/2),x)","\frac{3 \sqrt{5} \Gamma\left(- \frac{1}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{4}, \frac{3}{2} \\ \frac{3}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{100 x \Gamma\left(\frac{3}{4}\right)} + \frac{\sqrt{5} \Gamma\left(- \frac{3}{4}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{3}{4}, \frac{3}{2} \\ \frac{1}{4} \end{matrix}\middle| {\frac{x^{4} e^{i \pi}}{5}} \right)}}{50 x^{3} \Gamma\left(\frac{1}{4}\right)}"," ",0,"3*sqrt(5)*gamma(-1/4)*hyper((-1/4, 3/2), (3/4,), x**4*exp_polar(I*pi)/5)/(100*x*gamma(3/4)) + sqrt(5)*gamma(-3/4)*hyper((-3/4, 3/2), (1/4,), x**4*exp_polar(I*pi)/5)/(50*x**3*gamma(1/4))","C",0
55,-1,0,0,0.000000," ","integrate((f*x)**m*(e*x**2+d)*(x**4+2*x**2+1)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,1,134,0,0.095868," ","integrate(x**5*(e*x**2+d)*(x**4+2*x**2+1)**5,x)","\frac{d x^{6}}{6} + \frac{e x^{28}}{28} + x^{26} \left(\frac{d}{26} + \frac{5 e}{13}\right) + x^{24} \left(\frac{5 d}{12} + \frac{15 e}{8}\right) + x^{22} \left(\frac{45 d}{22} + \frac{60 e}{11}\right) + x^{20} \left(6 d + \frac{21 e}{2}\right) + x^{18} \left(\frac{35 d}{3} + 14 e\right) + x^{16} \left(\frac{63 d}{4} + \frac{105 e}{8}\right) + x^{14} \left(15 d + \frac{60 e}{7}\right) + x^{12} \left(10 d + \frac{15 e}{4}\right) + x^{10} \left(\frac{9 d}{2} + e\right) + x^{8} \left(\frac{5 d}{4} + \frac{e}{8}\right)"," ",0,"d*x**6/6 + e*x**28/28 + x**26*(d/26 + 5*e/13) + x**24*(5*d/12 + 15*e/8) + x**22*(45*d/22 + 60*e/11) + x**20*(6*d + 21*e/2) + x**18*(35*d/3 + 14*e) + x**16*(63*d/4 + 105*e/8) + x**14*(15*d + 60*e/7) + x**12*(10*d + 15*e/4) + x**10*(9*d/2 + e) + x**8*(5*d/4 + e/8)","B",0
57,1,141,0,0.095185," ","integrate(x**4*(e*x**2+d)*(x**4+2*x**2+1)**5,x)","\frac{d x^{5}}{5} + \frac{e x^{27}}{27} + x^{25} \left(\frac{d}{25} + \frac{2 e}{5}\right) + x^{23} \left(\frac{10 d}{23} + \frac{45 e}{23}\right) + x^{21} \left(\frac{15 d}{7} + \frac{40 e}{7}\right) + x^{19} \left(\frac{120 d}{19} + \frac{210 e}{19}\right) + x^{17} \left(\frac{210 d}{17} + \frac{252 e}{17}\right) + x^{15} \left(\frac{84 d}{5} + 14 e\right) + x^{13} \left(\frac{210 d}{13} + \frac{120 e}{13}\right) + x^{11} \left(\frac{120 d}{11} + \frac{45 e}{11}\right) + x^{9} \left(5 d + \frac{10 e}{9}\right) + x^{7} \left(\frac{10 d}{7} + \frac{e}{7}\right)"," ",0,"d*x**5/5 + e*x**27/27 + x**25*(d/25 + 2*e/5) + x**23*(10*d/23 + 45*e/23) + x**21*(15*d/7 + 40*e/7) + x**19*(120*d/19 + 210*e/19) + x**17*(210*d/17 + 252*e/17) + x**15*(84*d/5 + 14*e) + x**13*(210*d/13 + 120*e/13) + x**11*(120*d/11 + 45*e/11) + x**9*(5*d + 10*e/9) + x**7*(10*d/7 + e/7)","A",0
58,1,136,0,0.097559," ","integrate(x**3*(e*x**2+d)*(x**4+2*x**2+1)**5,x)","\frac{d x^{4}}{4} + \frac{e x^{26}}{26} + x^{24} \left(\frac{d}{24} + \frac{5 e}{12}\right) + x^{22} \left(\frac{5 d}{11} + \frac{45 e}{22}\right) + x^{20} \left(\frac{9 d}{4} + 6 e\right) + x^{18} \left(\frac{20 d}{3} + \frac{35 e}{3}\right) + x^{16} \left(\frac{105 d}{8} + \frac{63 e}{4}\right) + x^{14} \left(18 d + 15 e\right) + x^{12} \left(\frac{35 d}{2} + 10 e\right) + x^{10} \left(12 d + \frac{9 e}{2}\right) + x^{8} \left(\frac{45 d}{8} + \frac{5 e}{4}\right) + x^{6} \left(\frac{5 d}{3} + \frac{e}{6}\right)"," ",0,"d*x**4/4 + e*x**26/26 + x**24*(d/24 + 5*e/12) + x**22*(5*d/11 + 45*e/22) + x**20*(9*d/4 + 6*e) + x**18*(20*d/3 + 35*e/3) + x**16*(105*d/8 + 63*e/4) + x**14*(18*d + 15*e) + x**12*(35*d/2 + 10*e) + x**10*(12*d + 9*e/2) + x**8*(45*d/8 + 5*e/4) + x**6*(5*d/3 + e/6)","B",0
59,1,139,0,0.096598," ","integrate(x**2*(e*x**2+d)*(x**4+2*x**2+1)**5,x)","\frac{d x^{3}}{3} + \frac{e x^{25}}{25} + x^{23} \left(\frac{d}{23} + \frac{10 e}{23}\right) + x^{21} \left(\frac{10 d}{21} + \frac{15 e}{7}\right) + x^{19} \left(\frac{45 d}{19} + \frac{120 e}{19}\right) + x^{17} \left(\frac{120 d}{17} + \frac{210 e}{17}\right) + x^{15} \left(14 d + \frac{84 e}{5}\right) + x^{13} \left(\frac{252 d}{13} + \frac{210 e}{13}\right) + x^{11} \left(\frac{210 d}{11} + \frac{120 e}{11}\right) + x^{9} \left(\frac{40 d}{3} + 5 e\right) + x^{7} \left(\frac{45 d}{7} + \frac{10 e}{7}\right) + x^{5} \left(2 d + \frac{e}{5}\right)"," ",0,"d*x**3/3 + e*x**25/25 + x**23*(d/23 + 10*e/23) + x**21*(10*d/21 + 15*e/7) + x**19*(45*d/19 + 120*e/19) + x**17*(120*d/17 + 210*e/17) + x**15*(14*d + 84*e/5) + x**13*(252*d/13 + 210*e/13) + x**11*(210*d/11 + 120*e/11) + x**9*(40*d/3 + 5*e) + x**7*(45*d/7 + 10*e/7) + x**5*(2*d + e/5)","A",0
60,1,133,0,0.096057," ","integrate(x*(e*x**2+d)*(x**4+2*x**2+1)**5,x)","\frac{d x^{2}}{2} + \frac{e x^{24}}{24} + x^{22} \left(\frac{d}{22} + \frac{5 e}{11}\right) + x^{20} \left(\frac{d}{2} + \frac{9 e}{4}\right) + x^{18} \left(\frac{5 d}{2} + \frac{20 e}{3}\right) + x^{16} \left(\frac{15 d}{2} + \frac{105 e}{8}\right) + x^{14} \left(15 d + 18 e\right) + x^{12} \left(21 d + \frac{35 e}{2}\right) + x^{10} \left(21 d + 12 e\right) + x^{8} \left(15 d + \frac{45 e}{8}\right) + x^{6} \left(\frac{15 d}{2} + \frac{5 e}{3}\right) + x^{4} \left(\frac{5 d}{2} + \frac{e}{4}\right)"," ",0,"d*x**2/2 + e*x**24/24 + x**22*(d/22 + 5*e/11) + x**20*(d/2 + 9*e/4) + x**18*(5*d/2 + 20*e/3) + x**16*(15*d/2 + 105*e/8) + x**14*(15*d + 18*e) + x**12*(21*d + 35*e/2) + x**10*(21*d + 12*e) + x**8*(15*d + 45*e/8) + x**6*(15*d/2 + 5*e/3) + x**4*(5*d/2 + e/4)","B",0
61,1,134,0,0.097502," ","integrate((e*x**2+d)*(x**4+2*x**2+1)**5,x)","d x + \frac{e x^{23}}{23} + x^{21} \left(\frac{d}{21} + \frac{10 e}{21}\right) + x^{19} \left(\frac{10 d}{19} + \frac{45 e}{19}\right) + x^{17} \left(\frac{45 d}{17} + \frac{120 e}{17}\right) + x^{15} \left(8 d + 14 e\right) + x^{13} \left(\frac{210 d}{13} + \frac{252 e}{13}\right) + x^{11} \left(\frac{252 d}{11} + \frac{210 e}{11}\right) + x^{9} \left(\frac{70 d}{3} + \frac{40 e}{3}\right) + x^{7} \left(\frac{120 d}{7} + \frac{45 e}{7}\right) + x^{5} \left(9 d + 2 e\right) + x^{3} \left(\frac{10 d}{3} + \frac{e}{3}\right)"," ",0,"d*x + e*x**23/23 + x**21*(d/21 + 10*e/21) + x**19*(10*d/19 + 45*e/19) + x**17*(45*d/17 + 120*e/17) + x**15*(8*d + 14*e) + x**13*(210*d/13 + 252*e/13) + x**11*(252*d/11 + 210*e/11) + x**9*(70*d/3 + 40*e/3) + x**7*(120*d/7 + 45*e/7) + x**5*(9*d + 2*e) + x**3*(10*d/3 + e/3)","A",0
62,1,131,0,0.327727," ","integrate((e*x**2+d)*(x**4+2*x**2+1)**5/x,x)","d \log{\left(x \right)} + \frac{e x^{22}}{22} + x^{20} \left(\frac{d}{20} + \frac{e}{2}\right) + x^{18} \left(\frac{5 d}{9} + \frac{5 e}{2}\right) + x^{16} \left(\frac{45 d}{16} + \frac{15 e}{2}\right) + x^{14} \left(\frac{60 d}{7} + 15 e\right) + x^{12} \left(\frac{35 d}{2} + 21 e\right) + x^{10} \left(\frac{126 d}{5} + 21 e\right) + x^{8} \left(\frac{105 d}{4} + 15 e\right) + x^{6} \left(20 d + \frac{15 e}{2}\right) + x^{4} \left(\frac{45 d}{4} + \frac{5 e}{2}\right) + x^{2} \left(5 d + \frac{e}{2}\right)"," ",0,"d*log(x) + e*x**22/22 + x**20*(d/20 + e/2) + x**18*(5*d/9 + 5*e/2) + x**16*(45*d/16 + 15*e/2) + x**14*(60*d/7 + 15*e) + x**12*(35*d/2 + 21*e) + x**10*(126*d/5 + 21*e) + x**8*(105*d/4 + 15*e) + x**6*(20*d + 15*e/2) + x**4*(45*d/4 + 5*e/2) + x**2*(5*d + e/2)","A",0
63,1,124,0,0.321155," ","integrate((e*x**2+d)*(x**4+2*x**2+1)**5/x**2,x)","- \frac{d}{x} + \frac{e x^{21}}{21} + x^{19} \left(\frac{d}{19} + \frac{10 e}{19}\right) + x^{17} \left(\frac{10 d}{17} + \frac{45 e}{17}\right) + x^{15} \left(3 d + 8 e\right) + x^{13} \left(\frac{120 d}{13} + \frac{210 e}{13}\right) + x^{11} \left(\frac{210 d}{11} + \frac{252 e}{11}\right) + x^{9} \left(28 d + \frac{70 e}{3}\right) + x^{7} \left(30 d + \frac{120 e}{7}\right) + x^{5} \left(24 d + 9 e\right) + x^{3} \left(15 d + \frac{10 e}{3}\right) + x \left(10 d + e\right)"," ",0,"-d/x + e*x**21/21 + x**19*(d/19 + 10*e/19) + x**17*(10*d/17 + 45*e/17) + x**15*(3*d + 8*e) + x**13*(120*d/13 + 210*e/13) + x**11*(210*d/11 + 252*e/11) + x**9*(28*d + 70*e/3) + x**7*(30*d + 120*e/7) + x**5*(24*d + 9*e) + x**3*(15*d + 10*e/3) + x*(10*d + e)","A",0
64,1,131,0,0.386473," ","integrate((e*x**2+d)*(x**4+2*x**2+1)**5/x**3,x)","- \frac{d}{2 x^{2}} + \frac{e x^{20}}{20} + x^{18} \left(\frac{d}{18} + \frac{5 e}{9}\right) + x^{16} \left(\frac{5 d}{8} + \frac{45 e}{16}\right) + x^{14} \left(\frac{45 d}{14} + \frac{60 e}{7}\right) + x^{12} \left(10 d + \frac{35 e}{2}\right) + x^{10} \left(21 d + \frac{126 e}{5}\right) + x^{8} \left(\frac{63 d}{2} + \frac{105 e}{4}\right) + x^{6} \left(35 d + 20 e\right) + x^{4} \left(30 d + \frac{45 e}{4}\right) + x^{2} \left(\frac{45 d}{2} + 5 e\right) + \left(10 d + e\right) \log{\left(x \right)}"," ",0,"-d/(2*x**2) + e*x**20/20 + x**18*(d/18 + 5*e/9) + x**16*(5*d/8 + 45*e/16) + x**14*(45*d/14 + 60*e/7) + x**12*(10*d + 35*e/2) + x**10*(21*d + 126*e/5) + x**8*(63*d/2 + 105*e/4) + x**6*(35*d + 20*e) + x**4*(30*d + 45*e/4) + x**2*(45*d/2 + 5*e) + (10*d + e)*log(x)","A",0
65,-1,0,0,0.000000," ","integrate((f*x)**m*(x**2+1)*(x**4+2*x**2+1)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,1,76,0,0.071555," ","integrate(x**5*(x**2+1)*(x**4+2*x**2+1)**5,x)","\frac{x^{28}}{28} + \frac{11 x^{26}}{26} + \frac{55 x^{24}}{24} + \frac{15 x^{22}}{2} + \frac{33 x^{20}}{2} + \frac{77 x^{18}}{3} + \frac{231 x^{16}}{8} + \frac{165 x^{14}}{7} + \frac{55 x^{12}}{4} + \frac{11 x^{10}}{2} + \frac{11 x^{8}}{8} + \frac{x^{6}}{6}"," ",0,"x**28/28 + 11*x**26/26 + 55*x**24/24 + 15*x**22/2 + 33*x**20/2 + 77*x**18/3 + 231*x**16/8 + 165*x**14/7 + 55*x**12/4 + 11*x**10/2 + 11*x**8/8 + x**6/6","B",0
67,1,75,0,0.070632," ","integrate(x**4*(x**2+1)*(x**4+2*x**2+1)**5,x)","\frac{x^{27}}{27} + \frac{11 x^{25}}{25} + \frac{55 x^{23}}{23} + \frac{55 x^{21}}{7} + \frac{330 x^{19}}{19} + \frac{462 x^{17}}{17} + \frac{154 x^{15}}{5} + \frac{330 x^{13}}{13} + 15 x^{11} + \frac{55 x^{9}}{9} + \frac{11 x^{7}}{7} + \frac{x^{5}}{5}"," ",0,"x**27/27 + 11*x**25/25 + 55*x**23/23 + 55*x**21/7 + 330*x**19/19 + 462*x**17/17 + 154*x**15/5 + 330*x**13/13 + 15*x**11 + 55*x**9/9 + 11*x**7/7 + x**5/5","A",0
68,1,75,0,0.072640," ","integrate(x**3*(x**2+1)*(x**4+2*x**2+1)**5,x)","\frac{x^{26}}{26} + \frac{11 x^{24}}{24} + \frac{5 x^{22}}{2} + \frac{33 x^{20}}{4} + \frac{55 x^{18}}{3} + \frac{231 x^{16}}{8} + 33 x^{14} + \frac{55 x^{12}}{2} + \frac{33 x^{10}}{2} + \frac{55 x^{8}}{8} + \frac{11 x^{6}}{6} + \frac{x^{4}}{4}"," ",0,"x**26/26 + 11*x**24/24 + 5*x**22/2 + 33*x**20/4 + 55*x**18/3 + 231*x**16/8 + 33*x**14 + 55*x**12/2 + 33*x**10/2 + 55*x**8/8 + 11*x**6/6 + x**4/4","B",0
69,1,75,0,0.070891," ","integrate(x**2*(x**2+1)*(x**4+2*x**2+1)**5,x)","\frac{x^{25}}{25} + \frac{11 x^{23}}{23} + \frac{55 x^{21}}{21} + \frac{165 x^{19}}{19} + \frac{330 x^{17}}{17} + \frac{154 x^{15}}{5} + \frac{462 x^{13}}{13} + 30 x^{11} + \frac{55 x^{9}}{3} + \frac{55 x^{7}}{7} + \frac{11 x^{5}}{5} + \frac{x^{3}}{3}"," ",0,"x**25/25 + 11*x**23/23 + 55*x**21/21 + 165*x**19/19 + 330*x**17/17 + 154*x**15/5 + 462*x**13/13 + 30*x**11 + 55*x**9/3 + 55*x**7/7 + 11*x**5/5 + x**3/3","A",0
70,1,71,0,0.069816," ","integrate(x*(x**2+1)*(x**4+2*x**2+1)**5,x)","\frac{x^{24}}{24} + \frac{x^{22}}{2} + \frac{11 x^{20}}{4} + \frac{55 x^{18}}{6} + \frac{165 x^{16}}{8} + 33 x^{14} + \frac{77 x^{12}}{2} + 33 x^{10} + \frac{165 x^{8}}{8} + \frac{55 x^{6}}{6} + \frac{11 x^{4}}{4} + \frac{x^{2}}{2}"," ",0,"x**24/24 + x**22/2 + 11*x**20/4 + 55*x**18/6 + 165*x**16/8 + 33*x**14 + 77*x**12/2 + 33*x**10 + 165*x**8/8 + 55*x**6/6 + 11*x**4/4 + x**2/2","B",0
71,1,68,0,0.074080," ","integrate((x**2+1)*(x**4+2*x**2+1)**5,x)","\frac{x^{23}}{23} + \frac{11 x^{21}}{21} + \frac{55 x^{19}}{19} + \frac{165 x^{17}}{17} + 22 x^{15} + \frac{462 x^{13}}{13} + 42 x^{11} + \frac{110 x^{9}}{3} + \frac{165 x^{7}}{7} + 11 x^{5} + \frac{11 x^{3}}{3} + x"," ",0,"x**23/23 + 11*x**21/21 + 55*x**19/19 + 165*x**17/17 + 22*x**15 + 462*x**13/13 + 42*x**11 + 110*x**9/3 + 165*x**7/7 + 11*x**5 + 11*x**3/3 + x","A",0
72,1,75,0,0.106742," ","integrate((x**2+1)*(x**4+2*x**2+1)**5/x,x)","\frac{x^{22}}{22} + \frac{11 x^{20}}{20} + \frac{55 x^{18}}{18} + \frac{165 x^{16}}{16} + \frac{165 x^{14}}{7} + \frac{77 x^{12}}{2} + \frac{231 x^{10}}{5} + \frac{165 x^{8}}{4} + \frac{55 x^{6}}{2} + \frac{55 x^{4}}{4} + \frac{11 x^{2}}{2} + \log{\left(x \right)}"," ",0,"x**22/22 + 11*x**20/20 + 55*x**18/18 + 165*x**16/16 + 165*x**14/7 + 77*x**12/2 + 231*x**10/5 + 165*x**8/4 + 55*x**6/2 + 55*x**4/4 + 11*x**2/2 + log(x)","A",0
73,1,66,0,0.100547," ","integrate((x**2+1)*(x**4+2*x**2+1)**5/x**2,x)","\frac{x^{21}}{21} + \frac{11 x^{19}}{19} + \frac{55 x^{17}}{17} + 11 x^{15} + \frac{330 x^{13}}{13} + 42 x^{11} + \frac{154 x^{9}}{3} + \frac{330 x^{7}}{7} + 33 x^{5} + \frac{55 x^{3}}{3} + 11 x - \frac{1}{x}"," ",0,"x**21/21 + 11*x**19/19 + 55*x**17/17 + 11*x**15 + 330*x**13/13 + 42*x**11 + 154*x**9/3 + 330*x**7/7 + 33*x**5 + 55*x**3/3 + 11*x - 1/x","A",0
74,1,75,0,0.112286," ","integrate((x**2+1)*(x**4+2*x**2+1)**5/x**3,x)","\frac{x^{20}}{20} + \frac{11 x^{18}}{18} + \frac{55 x^{16}}{16} + \frac{165 x^{14}}{14} + \frac{55 x^{12}}{2} + \frac{231 x^{10}}{5} + \frac{231 x^{8}}{4} + 55 x^{6} + \frac{165 x^{4}}{4} + \frac{55 x^{2}}{2} + 11 \log{\left(x \right)} - \frac{1}{2 x^{2}}"," ",0,"x**20/20 + 11*x**18/18 + 55*x**16/16 + 165*x**14/14 + 55*x**12/2 + 231*x**10/5 + 231*x**8/4 + 55*x**6 + 165*x**4/4 + 55*x**2/2 + 11*log(x) - 1/(2*x**2)","A",0
75,1,90,0,0.364840," ","integrate(x**2*(e*x**2+d)/((b*x**2+a)**2)**(1/2),x)","x \left(- \frac{a e}{b^{2}} + \frac{d}{b}\right) - \frac{\sqrt{- \frac{a}{b^{5}}} \left(a e - b d\right) \log{\left(- b^{2} \sqrt{- \frac{a}{b^{5}}} + x \right)}}{2} + \frac{\sqrt{- \frac{a}{b^{5}}} \left(a e - b d\right) \log{\left(b^{2} \sqrt{- \frac{a}{b^{5}}} + x \right)}}{2} + \frac{e x^{3}}{3 b}"," ",0,"x*(-a*e/b**2 + d/b) - sqrt(-a/b**5)*(a*e - b*d)*log(-b**2*sqrt(-a/b**5) + x)/2 + sqrt(-a/b**5)*(a*e - b*d)*log(b**2*sqrt(-a/b**5) + x)/2 + e*x**3/(3*b)","A",0
76,1,27,0,0.277212," ","integrate(x*(e*x**2+d)/((b*x**2+a)**2)**(1/2),x)","\frac{e x^{2}}{2 b} - \frac{\left(a e - b d\right) \log{\left(a + b x^{2} \right)}}{2 b^{2}}"," ",0,"e*x**2/(2*b) - (a*e - b*d)*log(a + b*x**2)/(2*b**2)","A",0
77,1,82,0,0.317313," ","integrate((e*x**2+d)/((b*x**2+a)**2)**(1/2),x)","\frac{\sqrt{- \frac{1}{a b^{3}}} \left(a e - b d\right) \log{\left(- a b \sqrt{- \frac{1}{a b^{3}}} + x \right)}}{2} - \frac{\sqrt{- \frac{1}{a b^{3}}} \left(a e - b d\right) \log{\left(a b \sqrt{- \frac{1}{a b^{3}}} + x \right)}}{2} + \frac{e x}{b}"," ",0,"sqrt(-1/(a*b**3))*(a*e - b*d)*log(-a*b*sqrt(-1/(a*b**3)) + x)/2 - sqrt(-1/(a*b**3))*(a*e - b*d)*log(a*b*sqrt(-1/(a*b**3)) + x)/2 + e*x/b","A",0
78,1,26,0,0.708956," ","integrate((e*x**2+d)/x/((b*x**2+a)**2)**(1/2),x)","\frac{d \log{\left(x \right)}}{a} + \frac{\left(a e - b d\right) \log{\left(\frac{a}{b} + x^{2} \right)}}{2 a b}"," ",0,"d*log(x)/a + (a*e - b*d)*log(a/b + x**2)/(2*a*b)","A",0
79,1,82,0,0.371929," ","integrate((e*x**2+d)/x**2/((b*x**2+a)**2)**(1/2),x)","- \frac{\sqrt{- \frac{1}{a^{3} b}} \left(a e - b d\right) \log{\left(- a^{2} \sqrt{- \frac{1}{a^{3} b}} + x \right)}}{2} + \frac{\sqrt{- \frac{1}{a^{3} b}} \left(a e - b d\right) \log{\left(a^{2} \sqrt{- \frac{1}{a^{3} b}} + x \right)}}{2} - \frac{d}{a x}"," ",0,"-sqrt(-1/(a**3*b))*(a*e - b*d)*log(-a**2*sqrt(-1/(a**3*b)) + x)/2 + sqrt(-1/(a**3*b))*(a*e - b*d)*log(a**2*sqrt(-1/(a**3*b)) + x)/2 - d/(a*x)","A",0
80,1,41,0,0.725749," ","integrate((e*x**2+d)/x**3/((b*x**2+a)**2)**(1/2),x)","- \frac{d}{2 a x^{2}} + \frac{\left(a e - b d\right) \log{\left(x \right)}}{a^{2}} - \frac{\left(a e - b d\right) \log{\left(\frac{a}{b} + x^{2} \right)}}{2 a^{2}}"," ",0,"-d/(2*a*x**2) + (a*e - b*d)*log(x)/a**2 - (a*e - b*d)*log(a/b + x**2)/(2*a**2)","A",0
81,0,0,0,0.000000," ","integrate(x**2*(e*x**2+d)/(b**2*x**4+2*a*b*x**2+a**2)**(3/2),x)","\int \frac{x^{2} \left(d + e x^{2}\right)}{\left(\left(a + b x^{2}\right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2*(d + e*x**2)/((a + b*x**2)**2)**(3/2), x)","F",0
82,0,0,0,0.000000," ","integrate(x*(e*x**2+d)/(b**2*x**4+2*a*b*x**2+a**2)**(3/2),x)","\int \frac{x \left(d + e x^{2}\right)}{\left(\left(a + b x^{2}\right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x*(d + e*x**2)/((a + b*x**2)**2)**(3/2), x)","F",0
83,0,0,0,0.000000," ","integrate((e*x**2+d)/(b**2*x**4+2*a*b*x**2+a**2)**(3/2),x)","\int \frac{d + e x^{2}}{\left(\left(a + b x^{2}\right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((d + e*x**2)/((a + b*x**2)**2)**(3/2), x)","F",0
84,0,0,0,0.000000," ","integrate((e*x**2+d)/x/(b**2*x**4+2*a*b*x**2+a**2)**(3/2),x)","\int \frac{d + e x^{2}}{x \left(\left(a + b x^{2}\right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((d + e*x**2)/(x*((a + b*x**2)**2)**(3/2)), x)","F",0
85,0,0,0,0.000000," ","integrate((e*x**2+d)/x**2/(b**2*x**4+2*a*b*x**2+a**2)**(3/2),x)","\int \frac{d + e x^{2}}{x^{2} \left(\left(a + b x^{2}\right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((d + e*x**2)/(x**2*((a + b*x**2)**2)**(3/2)), x)","F",0
86,0,0,0,0.000000," ","integrate((e*x**2+d)/x**3/(b**2*x**4+2*a*b*x**2+a**2)**(3/2),x)","\int \frac{d + e x^{2}}{x^{3} \left(\left(a + b x^{2}\right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((d + e*x**2)/(x**3*((a + b*x**2)**2)**(3/2)), x)","F",0
87,0,0,0,0.000000," ","integrate((f*x)**m*(e*x**2+d)*(b**2*x**4+2*a*b*x**2+a**2)**(5/2),x)","\int \left(f x\right)^{m} \left(d + e x^{2}\right) \left(\left(a + b x^{2}\right)^{2}\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((f*x)**m*(d + e*x**2)*((a + b*x**2)**2)**(5/2), x)","F",0
88,0,0,0,0.000000," ","integrate((f*x)**m*(e*x**2+d)*(b**2*x**4+2*a*b*x**2+a**2)**(3/2),x)","\int \left(f x\right)^{m} \left(d + e x^{2}\right) \left(\left(a + b x^{2}\right)^{2}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((f*x)**m*(d + e*x**2)*((a + b*x**2)**2)**(3/2), x)","F",0
89,0,0,0,0.000000," ","integrate((f*x)**m*(e*x**2+d)*(b**2*x**4+2*a*b*x**2+a**2)**(1/2),x)","\int \left(f x\right)^{m} \left(d + e x^{2}\right) \sqrt{\left(a + b x^{2}\right)^{2}}\, dx"," ",0,"Integral((f*x)**m*(d + e*x**2)*sqrt((a + b*x**2)**2), x)","F",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)","\int \frac{\left(f x\right)^{m} \left(d + e x^{2}\right)}{\sqrt{\left(a + b x^{2}\right)^{2}}}\, dx"," ",0,"Integral((f*x)**m*(d + e*x**2)/sqrt((a + b*x**2)**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)","\int \frac{\left(f x\right)^{m} \left(d + e x^{2}\right)}{\left(\left(a + b x^{2}\right)^{2}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((f*x)**m*(d + e*x**2)/((a + b*x**2)**2)**(3/2), x)","F",0
92,1,165,0,9.596723," ","integrate(x*(b*x**2+a)*(b**2*x**4+2*a*b*x**2+a**2)**p,x)","\begin{cases} \frac{x^{2}}{2 a} & \text{for}\: b = 0 \wedge p = -1 \\\frac{a x^{2} \left(a^{2}\right)^{p}}{2} & \text{for}\: b = 0 \\\frac{\log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + x \right)}}{2 b} + \frac{\log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + x \right)}}{2 b} & \text{for}\: p = -1 \\\frac{a^{2} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{4 b p + 4 b} + \frac{2 a b x^{2} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{4 b p + 4 b} + \frac{b^{2} x^{4} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{4 b p + 4 b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**2/(2*a), Eq(b, 0) & Eq(p, -1)), (a*x**2*(a**2)**p/2, Eq(b, 0)), (log(-I*sqrt(a)*sqrt(1/b) + x)/(2*b) + log(I*sqrt(a)*sqrt(1/b) + x)/(2*b), Eq(p, -1)), (a**2*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(4*b*p + 4*b) + 2*a*b*x**2*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(4*b*p + 4*b) + b**2*x**4*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(4*b*p + 4*b), True))","A",0
93,0,0,0,0.000000," ","integrate(x**3*(b*x**2+a)*(b**2*x**4+2*a*b*x**2+a**2)**p,x)","\begin{cases} \frac{a x^{4} \left(a^{2}\right)^{p}}{4} & \text{for}\: b = 0 \\\int \frac{x^{3} \left(a + b x^{2}\right)}{\left(\left(a + b x^{2}\right)^{2}\right)^{\frac{3}{2}}}\, dx & \text{for}\: p = - \frac{3}{2} \\- \frac{a \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + x \right)}}{2 b^{2}} - \frac{a \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + x \right)}}{2 b^{2}} + \frac{x^{2}}{2 b} & \text{for}\: p = -1 \\- \frac{a^{3} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{2} p^{2} + 20 b^{2} p + 12 b^{2}} + \frac{2 a^{2} b p x^{2} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{2} p^{2} + 20 b^{2} p + 12 b^{2}} + \frac{4 a b^{2} p x^{4} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{2} p^{2} + 20 b^{2} p + 12 b^{2}} + \frac{3 a b^{2} x^{4} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{2} p^{2} + 20 b^{2} p + 12 b^{2}} + \frac{2 b^{3} p x^{6} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{2} p^{2} + 20 b^{2} p + 12 b^{2}} + \frac{2 b^{3} x^{6} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{2} p^{2} + 20 b^{2} p + 12 b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**4*(a**2)**p/4, Eq(b, 0)), (Integral(x**3*(a + b*x**2)/((a + b*x**2)**2)**(3/2), x), Eq(p, -3/2)), (-a*log(-I*sqrt(a)*sqrt(1/b) + x)/(2*b**2) - a*log(I*sqrt(a)*sqrt(1/b) + x)/(2*b**2) + x**2/(2*b), Eq(p, -1)), (-a**3*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**2*p**2 + 20*b**2*p + 12*b**2) + 2*a**2*b*p*x**2*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**2*p**2 + 20*b**2*p + 12*b**2) + 4*a*b**2*p*x**4*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**2*p**2 + 20*b**2*p + 12*b**2) + 3*a*b**2*x**4*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**2*p**2 + 20*b**2*p + 12*b**2) + 2*b**3*p*x**6*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**2*p**2 + 20*b**2*p + 12*b**2) + 2*b**3*x**6*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**2*p**2 + 20*b**2*p + 12*b**2), True))","F",0
94,0,0,0,0.000000," ","integrate(x**5*(b*x**2+a)*(b**2*x**4+2*a*b*x**2+a**2)**p,x)","\begin{cases} \frac{a x^{6} \left(a^{2}\right)^{p}}{6} & \text{for}\: b = 0 \\\frac{2 a^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + x \right)}}{4 a^{2} b^{3} + 8 a b^{4} x^{2} + 4 b^{5} x^{4}} + \frac{2 a^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + x \right)}}{4 a^{2} b^{3} + 8 a b^{4} x^{2} + 4 b^{5} x^{4}} + \frac{3 a^{2}}{4 a^{2} b^{3} + 8 a b^{4} x^{2} + 4 b^{5} x^{4}} + \frac{4 a b x^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + x \right)}}{4 a^{2} b^{3} + 8 a b^{4} x^{2} + 4 b^{5} x^{4}} + \frac{4 a b x^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + x \right)}}{4 a^{2} b^{3} + 8 a b^{4} x^{2} + 4 b^{5} x^{4}} + \frac{4 a b x^{2}}{4 a^{2} b^{3} + 8 a b^{4} x^{2} + 4 b^{5} x^{4}} + \frac{2 b^{2} x^{4} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + x \right)}}{4 a^{2} b^{3} + 8 a b^{4} x^{2} + 4 b^{5} x^{4}} + \frac{2 b^{2} x^{4} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + x \right)}}{4 a^{2} b^{3} + 8 a b^{4} x^{2} + 4 b^{5} x^{4}} & \text{for}\: p = -2 \\\int \frac{x^{5} \left(a + b x^{2}\right)}{\left(\left(a + b x^{2}\right)^{2}\right)^{\frac{3}{2}}}\, dx & \text{for}\: p = - \frac{3}{2} \\\frac{a^{2} \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + x \right)}}{2 b^{3}} + \frac{a^{2} \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + x \right)}}{2 b^{3}} - \frac{a x^{2}}{2 b^{2}} + \frac{x^{4}}{4 b} & \text{for}\: p = -1 \\\frac{a^{4} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{3} p^{3} + 36 b^{3} p^{2} + 52 b^{3} p + 24 b^{3}} - \frac{2 a^{3} b p x^{2} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{3} p^{3} + 36 b^{3} p^{2} + 52 b^{3} p + 24 b^{3}} + \frac{2 a^{2} b^{2} p^{2} x^{4} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{3} p^{3} + 36 b^{3} p^{2} + 52 b^{3} p + 24 b^{3}} + \frac{a^{2} b^{2} p x^{4} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{3} p^{3} + 36 b^{3} p^{2} + 52 b^{3} p + 24 b^{3}} + \frac{4 a b^{3} p^{2} x^{6} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{3} p^{3} + 36 b^{3} p^{2} + 52 b^{3} p + 24 b^{3}} + \frac{8 a b^{3} p x^{6} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{3} p^{3} + 36 b^{3} p^{2} + 52 b^{3} p + 24 b^{3}} + \frac{4 a b^{3} x^{6} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{3} p^{3} + 36 b^{3} p^{2} + 52 b^{3} p + 24 b^{3}} + \frac{2 b^{4} p^{2} x^{8} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{3} p^{3} + 36 b^{3} p^{2} + 52 b^{3} p + 24 b^{3}} + \frac{5 b^{4} p x^{8} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{3} p^{3} + 36 b^{3} p^{2} + 52 b^{3} p + 24 b^{3}} + \frac{3 b^{4} x^{8} \left(a^{2} + 2 a b x^{2} + b^{2} x^{4}\right)^{p}}{8 b^{3} p^{3} + 36 b^{3} p^{2} + 52 b^{3} p + 24 b^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**6*(a**2)**p/6, Eq(b, 0)), (2*a**2*log(-I*sqrt(a)*sqrt(1/b) + x)/(4*a**2*b**3 + 8*a*b**4*x**2 + 4*b**5*x**4) + 2*a**2*log(I*sqrt(a)*sqrt(1/b) + x)/(4*a**2*b**3 + 8*a*b**4*x**2 + 4*b**5*x**4) + 3*a**2/(4*a**2*b**3 + 8*a*b**4*x**2 + 4*b**5*x**4) + 4*a*b*x**2*log(-I*sqrt(a)*sqrt(1/b) + x)/(4*a**2*b**3 + 8*a*b**4*x**2 + 4*b**5*x**4) + 4*a*b*x**2*log(I*sqrt(a)*sqrt(1/b) + x)/(4*a**2*b**3 + 8*a*b**4*x**2 + 4*b**5*x**4) + 4*a*b*x**2/(4*a**2*b**3 + 8*a*b**4*x**2 + 4*b**5*x**4) + 2*b**2*x**4*log(-I*sqrt(a)*sqrt(1/b) + x)/(4*a**2*b**3 + 8*a*b**4*x**2 + 4*b**5*x**4) + 2*b**2*x**4*log(I*sqrt(a)*sqrt(1/b) + x)/(4*a**2*b**3 + 8*a*b**4*x**2 + 4*b**5*x**4), Eq(p, -2)), (Integral(x**5*(a + b*x**2)/((a + b*x**2)**2)**(3/2), x), Eq(p, -3/2)), (a**2*log(-I*sqrt(a)*sqrt(1/b) + x)/(2*b**3) + a**2*log(I*sqrt(a)*sqrt(1/b) + x)/(2*b**3) - a*x**2/(2*b**2) + x**4/(4*b), Eq(p, -1)), (a**4*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**3*p**3 + 36*b**3*p**2 + 52*b**3*p + 24*b**3) - 2*a**3*b*p*x**2*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**3*p**3 + 36*b**3*p**2 + 52*b**3*p + 24*b**3) + 2*a**2*b**2*p**2*x**4*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**3*p**3 + 36*b**3*p**2 + 52*b**3*p + 24*b**3) + a**2*b**2*p*x**4*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**3*p**3 + 36*b**3*p**2 + 52*b**3*p + 24*b**3) + 4*a*b**3*p**2*x**6*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**3*p**3 + 36*b**3*p**2 + 52*b**3*p + 24*b**3) + 8*a*b**3*p*x**6*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**3*p**3 + 36*b**3*p**2 + 52*b**3*p + 24*b**3) + 4*a*b**3*x**6*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**3*p**3 + 36*b**3*p**2 + 52*b**3*p + 24*b**3) + 2*b**4*p**2*x**8*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**3*p**3 + 36*b**3*p**2 + 52*b**3*p + 24*b**3) + 5*b**4*p*x**8*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**3*p**3 + 36*b**3*p**2 + 52*b**3*p + 24*b**3) + 3*b**4*x**8*(a**2 + 2*a*b*x**2 + b**2*x**4)**p/(8*b**3*p**3 + 36*b**3*p**2 + 52*b**3*p + 24*b**3), True))","F",0
95,1,202,0,0.102072," ","integrate(x**3*(B*x**2+A)*(c*x**4+b*x**2+a)**3,x)","\frac{A a^{3} x^{4}}{4} + \frac{B c^{3} x^{18}}{18} + x^{16} \left(\frac{A c^{3}}{16} + \frac{3 B b c^{2}}{16}\right) + x^{14} \left(\frac{3 A b c^{2}}{14} + \frac{3 B a c^{2}}{14} + \frac{3 B b^{2} c}{14}\right) + x^{12} \left(\frac{A a c^{2}}{4} + \frac{A b^{2} c}{4} + \frac{B a b c}{2} + \frac{B b^{3}}{12}\right) + x^{10} \left(\frac{3 A a b c}{5} + \frac{A b^{3}}{10} + \frac{3 B a^{2} c}{10} + \frac{3 B a b^{2}}{10}\right) + x^{8} \left(\frac{3 A a^{2} c}{8} + \frac{3 A a b^{2}}{8} + \frac{3 B a^{2} b}{8}\right) + x^{6} \left(\frac{A a^{2} b}{2} + \frac{B a^{3}}{6}\right)"," ",0,"A*a**3*x**4/4 + B*c**3*x**18/18 + x**16*(A*c**3/16 + 3*B*b*c**2/16) + x**14*(3*A*b*c**2/14 + 3*B*a*c**2/14 + 3*B*b**2*c/14) + x**12*(A*a*c**2/4 + A*b**2*c/4 + B*a*b*c/2 + B*b**3/12) + x**10*(3*A*a*b*c/5 + A*b**3/10 + 3*B*a**2*c/10 + 3*B*a*b**2/10) + x**8*(3*A*a**2*c/8 + 3*A*a*b**2/8 + 3*B*a**2*b/8) + x**6*(A*a**2*b/2 + B*a**3/6)","A",0
96,1,204,0,0.101400," ","integrate(x**2*(B*x**2+A)*(c*x**4+b*x**2+a)**3,x)","\frac{A a^{3} x^{3}}{3} + \frac{B c^{3} x^{17}}{17} + x^{15} \left(\frac{A c^{3}}{15} + \frac{B b c^{2}}{5}\right) + x^{13} \left(\frac{3 A b c^{2}}{13} + \frac{3 B a c^{2}}{13} + \frac{3 B b^{2} c}{13}\right) + x^{11} \left(\frac{3 A a c^{2}}{11} + \frac{3 A b^{2} c}{11} + \frac{6 B a b c}{11} + \frac{B b^{3}}{11}\right) + x^{9} \left(\frac{2 A a b c}{3} + \frac{A b^{3}}{9} + \frac{B a^{2} c}{3} + \frac{B a b^{2}}{3}\right) + x^{7} \left(\frac{3 A a^{2} c}{7} + \frac{3 A a b^{2}}{7} + \frac{3 B a^{2} b}{7}\right) + x^{5} \left(\frac{3 A a^{2} b}{5} + \frac{B a^{3}}{5}\right)"," ",0,"A*a**3*x**3/3 + B*c**3*x**17/17 + x**15*(A*c**3/15 + B*b*c**2/5) + x**13*(3*A*b*c**2/13 + 3*B*a*c**2/13 + 3*B*b**2*c/13) + x**11*(3*A*a*c**2/11 + 3*A*b**2*c/11 + 6*B*a*b*c/11 + B*b**3/11) + x**9*(2*A*a*b*c/3 + A*b**3/9 + B*a**2*c/3 + B*a*b**2/3) + x**7*(3*A*a**2*c/7 + 3*A*a*b**2/7 + 3*B*a**2*b/7) + x**5*(3*A*a**2*b/5 + B*a**3/5)","A",0
97,1,199,0,0.101998," ","integrate(x*(B*x**2+A)*(c*x**4+b*x**2+a)**3,x)","\frac{A a^{3} x^{2}}{2} + \frac{B c^{3} x^{16}}{16} + x^{14} \left(\frac{A c^{3}}{14} + \frac{3 B b c^{2}}{14}\right) + x^{12} \left(\frac{A b c^{2}}{4} + \frac{B a c^{2}}{4} + \frac{B b^{2} c}{4}\right) + x^{10} \left(\frac{3 A a c^{2}}{10} + \frac{3 A b^{2} c}{10} + \frac{3 B a b c}{5} + \frac{B b^{3}}{10}\right) + x^{8} \left(\frac{3 A a b c}{4} + \frac{A b^{3}}{8} + \frac{3 B a^{2} c}{8} + \frac{3 B a b^{2}}{8}\right) + x^{6} \left(\frac{A a^{2} c}{2} + \frac{A a b^{2}}{2} + \frac{B a^{2} b}{2}\right) + x^{4} \left(\frac{3 A a^{2} b}{4} + \frac{B a^{3}}{4}\right)"," ",0,"A*a**3*x**2/2 + B*c**3*x**16/16 + x**14*(A*c**3/14 + 3*B*b*c**2/14) + x**12*(A*b*c**2/4 + B*a*c**2/4 + B*b**2*c/4) + x**10*(3*A*a*c**2/10 + 3*A*b**2*c/10 + 3*B*a*b*c/5 + B*b**3/10) + x**8*(3*A*a*b*c/4 + A*b**3/8 + 3*B*a**2*c/8 + 3*B*a*b**2/8) + x**6*(A*a**2*c/2 + A*a*b**2/2 + B*a**2*b/2) + x**4*(3*A*a**2*b/4 + B*a**3/4)","A",0
98,1,199,0,0.101975," ","integrate((B*x**2+A)*(c*x**4+b*x**2+a)**3,x)","A a^{3} x + \frac{B c^{3} x^{15}}{15} + x^{13} \left(\frac{A c^{3}}{13} + \frac{3 B b c^{2}}{13}\right) + x^{11} \left(\frac{3 A b c^{2}}{11} + \frac{3 B a c^{2}}{11} + \frac{3 B b^{2} c}{11}\right) + x^{9} \left(\frac{A a c^{2}}{3} + \frac{A b^{2} c}{3} + \frac{2 B a b c}{3} + \frac{B b^{3}}{9}\right) + x^{7} \left(\frac{6 A a b c}{7} + \frac{A b^{3}}{7} + \frac{3 B a^{2} c}{7} + \frac{3 B a b^{2}}{7}\right) + x^{5} \left(\frac{3 A a^{2} c}{5} + \frac{3 A a b^{2}}{5} + \frac{3 B a^{2} b}{5}\right) + x^{3} \left(A a^{2} b + \frac{B a^{3}}{3}\right)"," ",0,"A*a**3*x + B*c**3*x**15/15 + x**13*(A*c**3/13 + 3*B*b*c**2/13) + x**11*(3*A*b*c**2/11 + 3*B*a*c**2/11 + 3*B*b**2*c/11) + x**9*(A*a*c**2/3 + A*b**2*c/3 + 2*B*a*b*c/3 + B*b**3/9) + x**7*(6*A*a*b*c/7 + A*b**3/7 + 3*B*a**2*c/7 + 3*B*a*b**2/7) + x**5*(3*A*a**2*c/5 + 3*A*a*b**2/5 + 3*B*a**2*b/5) + x**3*(A*a**2*b + B*a**3/3)","A",0
99,1,199,0,0.308864," ","integrate((B*x**2+A)*(c*x**4+b*x**2+a)**3/x,x)","A a^{3} \log{\left(x \right)} + \frac{B c^{3} x^{14}}{14} + x^{12} \left(\frac{A c^{3}}{12} + \frac{B b c^{2}}{4}\right) + x^{10} \left(\frac{3 A b c^{2}}{10} + \frac{3 B a c^{2}}{10} + \frac{3 B b^{2} c}{10}\right) + x^{8} \left(\frac{3 A a c^{2}}{8} + \frac{3 A b^{2} c}{8} + \frac{3 B a b c}{4} + \frac{B b^{3}}{8}\right) + x^{6} \left(A a b c + \frac{A b^{3}}{6} + \frac{B a^{2} c}{2} + \frac{B a b^{2}}{2}\right) + x^{4} \left(\frac{3 A a^{2} c}{4} + \frac{3 A a b^{2}}{4} + \frac{3 B a^{2} b}{4}\right) + x^{2} \left(\frac{3 A a^{2} b}{2} + \frac{B a^{3}}{2}\right)"," ",0,"A*a**3*log(x) + B*c**3*x**14/14 + x**12*(A*c**3/12 + B*b*c**2/4) + x**10*(3*A*b*c**2/10 + 3*B*a*c**2/10 + 3*B*b**2*c/10) + x**8*(3*A*a*c**2/8 + 3*A*b**2*c/8 + 3*B*a*b*c/4 + B*b**3/8) + x**6*(A*a*b*c + A*b**3/6 + B*a**2*c/2 + B*a*b**2/2) + x**4*(3*A*a**2*c/4 + 3*A*a*b**2/4 + 3*B*a**2*b/4) + x**2*(3*A*a**2*b/2 + B*a**3/2)","A",0
100,1,185,0,0.307310," ","integrate((B*x**2+A)*(c*x**4+b*x**2+a)**3/x**2,x)","- \frac{A a^{3}}{x} + \frac{B c^{3} x^{13}}{13} + x^{11} \left(\frac{A c^{3}}{11} + \frac{3 B b c^{2}}{11}\right) + x^{9} \left(\frac{A b c^{2}}{3} + \frac{B a c^{2}}{3} + \frac{B b^{2} c}{3}\right) + x^{7} \left(\frac{3 A a c^{2}}{7} + \frac{3 A b^{2} c}{7} + \frac{6 B a b c}{7} + \frac{B b^{3}}{7}\right) + x^{5} \left(\frac{6 A a b c}{5} + \frac{A b^{3}}{5} + \frac{3 B a^{2} c}{5} + \frac{3 B a b^{2}}{5}\right) + x^{3} \left(A a^{2} c + A a b^{2} + B a^{2} b\right) + x \left(3 A a^{2} b + B a^{3}\right)"," ",0,"-A*a**3/x + B*c**3*x**13/13 + x**11*(A*c**3/11 + 3*B*b*c**2/11) + x**9*(A*b*c**2/3 + B*a*c**2/3 + B*b**2*c/3) + x**7*(3*A*a*c**2/7 + 3*A*b**2*c/7 + 6*B*a*b*c/7 + B*b**3/7) + x**5*(6*A*a*b*c/5 + A*b**3/5 + 3*B*a**2*c/5 + 3*B*a*b**2/5) + x**3*(A*a**2*c + A*a*b**2 + B*a**2*b) + x*(3*A*a**2*b + B*a**3)","A",0
101,1,197,0,0.400570," ","integrate((B*x**2+A)*(c*x**4+b*x**2+a)**3/x**3,x)","- \frac{A a^{3}}{2 x^{2}} + \frac{B c^{3} x^{12}}{12} + a^{2} \left(3 A b + B a\right) \log{\left(x \right)} + x^{10} \left(\frac{A c^{3}}{10} + \frac{3 B b c^{2}}{10}\right) + x^{8} \left(\frac{3 A b c^{2}}{8} + \frac{3 B a c^{2}}{8} + \frac{3 B b^{2} c}{8}\right) + x^{6} \left(\frac{A a c^{2}}{2} + \frac{A b^{2} c}{2} + B a b c + \frac{B b^{3}}{6}\right) + x^{4} \left(\frac{3 A a b c}{2} + \frac{A b^{3}}{4} + \frac{3 B a^{2} c}{4} + \frac{3 B a b^{2}}{4}\right) + x^{2} \left(\frac{3 A a^{2} c}{2} + \frac{3 A a b^{2}}{2} + \frac{3 B a^{2} b}{2}\right)"," ",0,"-A*a**3/(2*x**2) + B*c**3*x**12/12 + a**2*(3*A*b + B*a)*log(x) + x**10*(A*c**3/10 + 3*B*b*c**2/10) + x**8*(3*A*b*c**2/8 + 3*B*a*c**2/8 + 3*B*b**2*c/8) + x**6*(A*a*c**2/2 + A*b**2*c/2 + B*a*b*c + B*b**3/6) + x**4*(3*A*a*b*c/2 + A*b**3/4 + 3*B*a**2*c/4 + 3*B*a*b**2/4) + x**2*(3*A*a**2*c/2 + 3*A*a*b**2/2 + 3*B*a**2*b/2)","A",0
102,1,620,0,43.891791," ","integrate(x**5*(B*x**2+A)/(c*x**4+b*x**2+a),x)","\frac{B x^{4}}{4 c} + x^{2} \left(\frac{A}{2 c} - \frac{B b}{2 c^{2}}\right) + \left(- \frac{\sqrt{- 4 a c + b^{2}} \left(- 2 A a c^{2} + A b^{2} c + 3 B a b c - B b^{3}\right)}{4 c^{3} \left(4 a c - b^{2}\right)} - \frac{A b c + B a c - B b^{2}}{4 c^{3}}\right) \log{\left(x^{2} + \frac{A a b c + 2 B a^{2} c - B a b^{2} + 8 a c^{3} \left(- \frac{\sqrt{- 4 a c + b^{2}} \left(- 2 A a c^{2} + A b^{2} c + 3 B a b c - B b^{3}\right)}{4 c^{3} \left(4 a c - b^{2}\right)} - \frac{A b c + B a c - B b^{2}}{4 c^{3}}\right) - 2 b^{2} c^{2} \left(- \frac{\sqrt{- 4 a c + b^{2}} \left(- 2 A a c^{2} + A b^{2} c + 3 B a b c - B b^{3}\right)}{4 c^{3} \left(4 a c - b^{2}\right)} - \frac{A b c + B a c - B b^{2}}{4 c^{3}}\right)}{- 2 A a c^{2} + A b^{2} c + 3 B a b c - B b^{3}} \right)} + \left(\frac{\sqrt{- 4 a c + b^{2}} \left(- 2 A a c^{2} + A b^{2} c + 3 B a b c - B b^{3}\right)}{4 c^{3} \left(4 a c - b^{2}\right)} - \frac{A b c + B a c - B b^{2}}{4 c^{3}}\right) \log{\left(x^{2} + \frac{A a b c + 2 B a^{2} c - B a b^{2} + 8 a c^{3} \left(\frac{\sqrt{- 4 a c + b^{2}} \left(- 2 A a c^{2} + A b^{2} c + 3 B a b c - B b^{3}\right)}{4 c^{3} \left(4 a c - b^{2}\right)} - \frac{A b c + B a c - B b^{2}}{4 c^{3}}\right) - 2 b^{2} c^{2} \left(\frac{\sqrt{- 4 a c + b^{2}} \left(- 2 A a c^{2} + A b^{2} c + 3 B a b c - B b^{3}\right)}{4 c^{3} \left(4 a c - b^{2}\right)} - \frac{A b c + B a c - B b^{2}}{4 c^{3}}\right)}{- 2 A a c^{2} + A b^{2} c + 3 B a b c - B b^{3}} \right)}"," ",0,"B*x**4/(4*c) + x**2*(A/(2*c) - B*b/(2*c**2)) + (-sqrt(-4*a*c + b**2)*(-2*A*a*c**2 + A*b**2*c + 3*B*a*b*c - B*b**3)/(4*c**3*(4*a*c - b**2)) - (A*b*c + B*a*c - B*b**2)/(4*c**3))*log(x**2 + (A*a*b*c + 2*B*a**2*c - B*a*b**2 + 8*a*c**3*(-sqrt(-4*a*c + b**2)*(-2*A*a*c**2 + A*b**2*c + 3*B*a*b*c - B*b**3)/(4*c**3*(4*a*c - b**2)) - (A*b*c + B*a*c - B*b**2)/(4*c**3)) - 2*b**2*c**2*(-sqrt(-4*a*c + b**2)*(-2*A*a*c**2 + A*b**2*c + 3*B*a*b*c - B*b**3)/(4*c**3*(4*a*c - b**2)) - (A*b*c + B*a*c - B*b**2)/(4*c**3)))/(-2*A*a*c**2 + A*b**2*c + 3*B*a*b*c - B*b**3)) + (sqrt(-4*a*c + b**2)*(-2*A*a*c**2 + A*b**2*c + 3*B*a*b*c - B*b**3)/(4*c**3*(4*a*c - b**2)) - (A*b*c + B*a*c - B*b**2)/(4*c**3))*log(x**2 + (A*a*b*c + 2*B*a**2*c - B*a*b**2 + 8*a*c**3*(sqrt(-4*a*c + b**2)*(-2*A*a*c**2 + A*b**2*c + 3*B*a*b*c - B*b**3)/(4*c**3*(4*a*c - b**2)) - (A*b*c + B*a*c - B*b**2)/(4*c**3)) - 2*b**2*c**2*(sqrt(-4*a*c + b**2)*(-2*A*a*c**2 + A*b**2*c + 3*B*a*b*c - B*b**3)/(4*c**3*(4*a*c - b**2)) - (A*b*c + B*a*c - B*b**2)/(4*c**3)))/(-2*A*a*c**2 + A*b**2*c + 3*B*a*b*c - B*b**3))","B",0
103,1,434,0,10.545399," ","integrate(x**3*(B*x**2+A)/(c*x**4+b*x**2+a),x)","\frac{B x^{2}}{2 c} + \left(- \frac{- A c + B b}{4 c^{2}} - \frac{\sqrt{- 4 a c + b^{2}} \left(A b c + 2 B a c - B b^{2}\right)}{4 c^{2} \left(4 a c - b^{2}\right)}\right) \log{\left(x^{2} + \frac{2 A a c - B a b - 8 a c^{2} \left(- \frac{- A c + B b}{4 c^{2}} - \frac{\sqrt{- 4 a c + b^{2}} \left(A b c + 2 B a c - B b^{2}\right)}{4 c^{2} \left(4 a c - b^{2}\right)}\right) + 2 b^{2} c \left(- \frac{- A c + B b}{4 c^{2}} - \frac{\sqrt{- 4 a c + b^{2}} \left(A b c + 2 B a c - B b^{2}\right)}{4 c^{2} \left(4 a c - b^{2}\right)}\right)}{A b c + 2 B a c - B b^{2}} \right)} + \left(- \frac{- A c + B b}{4 c^{2}} + \frac{\sqrt{- 4 a c + b^{2}} \left(A b c + 2 B a c - B b^{2}\right)}{4 c^{2} \left(4 a c - b^{2}\right)}\right) \log{\left(x^{2} + \frac{2 A a c - B a b - 8 a c^{2} \left(- \frac{- A c + B b}{4 c^{2}} + \frac{\sqrt{- 4 a c + b^{2}} \left(A b c + 2 B a c - B b^{2}\right)}{4 c^{2} \left(4 a c - b^{2}\right)}\right) + 2 b^{2} c \left(- \frac{- A c + B b}{4 c^{2}} + \frac{\sqrt{- 4 a c + b^{2}} \left(A b c + 2 B a c - B b^{2}\right)}{4 c^{2} \left(4 a c - b^{2}\right)}\right)}{A b c + 2 B a c - B b^{2}} \right)}"," ",0,"B*x**2/(2*c) + (-(-A*c + B*b)/(4*c**2) - sqrt(-4*a*c + b**2)*(A*b*c + 2*B*a*c - B*b**2)/(4*c**2*(4*a*c - b**2)))*log(x**2 + (2*A*a*c - B*a*b - 8*a*c**2*(-(-A*c + B*b)/(4*c**2) - sqrt(-4*a*c + b**2)*(A*b*c + 2*B*a*c - B*b**2)/(4*c**2*(4*a*c - b**2))) + 2*b**2*c*(-(-A*c + B*b)/(4*c**2) - sqrt(-4*a*c + b**2)*(A*b*c + 2*B*a*c - B*b**2)/(4*c**2*(4*a*c - b**2))))/(A*b*c + 2*B*a*c - B*b**2)) + (-(-A*c + B*b)/(4*c**2) + sqrt(-4*a*c + b**2)*(A*b*c + 2*B*a*c - B*b**2)/(4*c**2*(4*a*c - b**2)))*log(x**2 + (2*A*a*c - B*a*b - 8*a*c**2*(-(-A*c + B*b)/(4*c**2) + sqrt(-4*a*c + b**2)*(A*b*c + 2*B*a*c - B*b**2)/(4*c**2*(4*a*c - b**2))) + 2*b**2*c*(-(-A*c + B*b)/(4*c**2) + sqrt(-4*a*c + b**2)*(A*b*c + 2*B*a*c - B*b**2)/(4*c**2*(4*a*c - b**2))))/(A*b*c + 2*B*a*c - B*b**2))","B",0
104,1,287,0,3.589403," ","integrate(x*(B*x**2+A)/(c*x**4+b*x**2+a),x)","\left(\frac{B}{4 c} - \frac{\left(- 2 A c + B b\right) \sqrt{- 4 a c + b^{2}}}{4 c \left(4 a c - b^{2}\right)}\right) \log{\left(x^{2} + \frac{- A b + 2 B a - 8 a c \left(\frac{B}{4 c} - \frac{\left(- 2 A c + B b\right) \sqrt{- 4 a c + b^{2}}}{4 c \left(4 a c - b^{2}\right)}\right) + 2 b^{2} \left(\frac{B}{4 c} - \frac{\left(- 2 A c + B b\right) \sqrt{- 4 a c + b^{2}}}{4 c \left(4 a c - b^{2}\right)}\right)}{- 2 A c + B b} \right)} + \left(\frac{B}{4 c} + \frac{\left(- 2 A c + B b\right) \sqrt{- 4 a c + b^{2}}}{4 c \left(4 a c - b^{2}\right)}\right) \log{\left(x^{2} + \frac{- A b + 2 B a - 8 a c \left(\frac{B}{4 c} + \frac{\left(- 2 A c + B b\right) \sqrt{- 4 a c + b^{2}}}{4 c \left(4 a c - b^{2}\right)}\right) + 2 b^{2} \left(\frac{B}{4 c} + \frac{\left(- 2 A c + B b\right) \sqrt{- 4 a c + b^{2}}}{4 c \left(4 a c - b^{2}\right)}\right)}{- 2 A c + B b} \right)}"," ",0,"(B/(4*c) - (-2*A*c + B*b)*sqrt(-4*a*c + b**2)/(4*c*(4*a*c - b**2)))*log(x**2 + (-A*b + 2*B*a - 8*a*c*(B/(4*c) - (-2*A*c + B*b)*sqrt(-4*a*c + b**2)/(4*c*(4*a*c - b**2))) + 2*b**2*(B/(4*c) - (-2*A*c + B*b)*sqrt(-4*a*c + b**2)/(4*c*(4*a*c - b**2))))/(-2*A*c + B*b)) + (B/(4*c) + (-2*A*c + B*b)*sqrt(-4*a*c + b**2)/(4*c*(4*a*c - b**2)))*log(x**2 + (-A*b + 2*B*a - 8*a*c*(B/(4*c) + (-2*A*c + B*b)*sqrt(-4*a*c + b**2)/(4*c*(4*a*c - b**2))) + 2*b**2*(B/(4*c) + (-2*A*c + B*b)*sqrt(-4*a*c + b**2)/(4*c*(4*a*c - b**2))))/(-2*A*c + B*b))","B",0
105,-1,0,0,0.000000," ","integrate((B*x**2+A)/x/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
106,-1,0,0,0.000000," ","integrate((B*x**2+A)/x**3/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
107,-1,0,0,0.000000," ","integrate(x**4*(B*x**2+A)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
108,-1,0,0,0.000000," ","integrate(x**2*(B*x**2+A)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
109,1,314,0,16.958593," ","integrate((B*x**2+A)/(c*x**4+b*x**2+a),x)","\operatorname{RootSum} {\left(t^{4} \left(256 a^{3} c^{3} - 128 a^{2} b^{2} c^{2} + 16 a b^{4} c\right) + t^{2} \left(- 16 A^{2} a b c^{2} + 4 A^{2} b^{3} c + 64 A B a^{2} c^{2} - 16 A B a b^{2} c - 16 B^{2} a^{2} b c + 4 B^{2} a b^{3}\right) + A^{4} c^{2} - 2 A^{3} B b c + 2 A^{2} B^{2} a c + A^{2} B^{2} b^{2} - 2 A B^{3} a b + B^{4} a^{2}, \left( t \mapsto t \log{\left(x + \frac{- 32 t^{3} A a^{2} b c^{2} + 8 t^{3} A a b^{3} c + 64 t^{3} B a^{3} c^{2} - 16 t^{3} B a^{2} b^{2} c - 4 t A^{3} a c^{2} + 2 t A^{3} b^{2} c - 6 t A^{2} B a b c + 12 t A B^{2} a^{2} c - 2 t B^{3} a^{2} b}{- A^{4} c^{2} + A^{3} B b c - A B^{3} a b + B^{4} a^{2}} \right)} \right)\right)}"," ",0,"RootSum(_t**4*(256*a**3*c**3 - 128*a**2*b**2*c**2 + 16*a*b**4*c) + _t**2*(-16*A**2*a*b*c**2 + 4*A**2*b**3*c + 64*A*B*a**2*c**2 - 16*A*B*a*b**2*c - 16*B**2*a**2*b*c + 4*B**2*a*b**3) + A**4*c**2 - 2*A**3*B*b*c + 2*A**2*B**2*a*c + A**2*B**2*b**2 - 2*A*B**3*a*b + B**4*a**2, Lambda(_t, _t*log(x + (-32*_t**3*A*a**2*b*c**2 + 8*_t**3*A*a*b**3*c + 64*_t**3*B*a**3*c**2 - 16*_t**3*B*a**2*b**2*c - 4*_t*A**3*a*c**2 + 2*_t*A**3*b**2*c - 6*_t*A**2*B*a*b*c + 12*_t*A*B**2*a**2*c - 2*_t*B**3*a**2*b)/(-A**4*c**2 + A**3*B*b*c - A*B**3*a*b + B**4*a**2))))","A",0
110,-1,0,0,0.000000," ","integrate((B*x**2+A)/x**2/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
111,-1,0,0,0.000000," ","integrate((B*x**2+A)/x**4/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
112,-1,0,0,0.000000," ","integrate(x**7*(B*x**2+A)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
113,-1,0,0,0.000000," ","integrate(x**5*(B*x**2+A)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
114,1,394,0,5.380194," ","integrate(x**3*(B*x**2+A)/(c*x**4+b*x**2+a)**2,x)","- \frac{\sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- A b + 2 B a\right) \log{\left(x^{2} + \frac{- A b^{2} + 2 B a b - 16 a^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- A b + 2 B a\right) + 8 a b^{2} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- A b + 2 B a\right) - b^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- A b + 2 B a\right)}{- 2 A b c + 4 B a c} \right)}}{2} + \frac{\sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- A b + 2 B a\right) \log{\left(x^{2} + \frac{- A b^{2} + 2 B a b + 16 a^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- A b + 2 B a\right) - 8 a b^{2} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- A b + 2 B a\right) + b^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- A b + 2 B a\right)}{- 2 A b c + 4 B a c} \right)}}{2} + \frac{- 2 A a c + B a b + x^{2} \left(- A b c - 2 B a c + B b^{2}\right)}{8 a^{2} c^{2} - 2 a b^{2} c + x^{4} \left(8 a c^{3} - 2 b^{2} c^{2}\right) + x^{2} \left(8 a b c^{2} - 2 b^{3} c\right)}"," ",0,"-sqrt(-1/(4*a*c - b**2)**3)*(-A*b + 2*B*a)*log(x**2 + (-A*b**2 + 2*B*a*b - 16*a**2*c**2*sqrt(-1/(4*a*c - b**2)**3)*(-A*b + 2*B*a) + 8*a*b**2*c*sqrt(-1/(4*a*c - b**2)**3)*(-A*b + 2*B*a) - b**4*sqrt(-1/(4*a*c - b**2)**3)*(-A*b + 2*B*a))/(-2*A*b*c + 4*B*a*c))/2 + sqrt(-1/(4*a*c - b**2)**3)*(-A*b + 2*B*a)*log(x**2 + (-A*b**2 + 2*B*a*b + 16*a**2*c**2*sqrt(-1/(4*a*c - b**2)**3)*(-A*b + 2*B*a) - 8*a*b**2*c*sqrt(-1/(4*a*c - b**2)**3)*(-A*b + 2*B*a) + b**4*sqrt(-1/(4*a*c - b**2)**3)*(-A*b + 2*B*a))/(-2*A*b*c + 4*B*a*c))/2 + (-2*A*a*c + B*a*b + x**2*(-A*b*c - 2*B*a*c + B*b**2))/(8*a**2*c**2 - 2*a*b**2*c + x**4*(8*a*c**3 - 2*b**2*c**2) + x**2*(8*a*b*c**2 - 2*b**3*c))","B",0
115,1,374,0,3.363250," ","integrate(x*(B*x**2+A)/(c*x**4+b*x**2+a)**2,x)","\frac{\sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- 2 A c + B b\right) \log{\left(x^{2} + \frac{- 2 A b c + B b^{2} - 16 a^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- 2 A c + B b\right) + 8 a b^{2} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- 2 A c + B b\right) - b^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- 2 A c + B b\right)}{- 4 A c^{2} + 2 B b c} \right)}}{2} - \frac{\sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- 2 A c + B b\right) \log{\left(x^{2} + \frac{- 2 A b c + B b^{2} + 16 a^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- 2 A c + B b\right) - 8 a b^{2} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- 2 A c + B b\right) + b^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(- 2 A c + B b\right)}{- 4 A c^{2} + 2 B b c} \right)}}{2} + \frac{A b - 2 B a + x^{2} \left(2 A c - B b\right)}{8 a^{2} c - 2 a b^{2} + x^{4} \left(8 a c^{2} - 2 b^{2} c\right) + x^{2} \left(8 a b c - 2 b^{3}\right)}"," ",0,"sqrt(-1/(4*a*c - b**2)**3)*(-2*A*c + B*b)*log(x**2 + (-2*A*b*c + B*b**2 - 16*a**2*c**2*sqrt(-1/(4*a*c - b**2)**3)*(-2*A*c + B*b) + 8*a*b**2*c*sqrt(-1/(4*a*c - b**2)**3)*(-2*A*c + B*b) - b**4*sqrt(-1/(4*a*c - b**2)**3)*(-2*A*c + B*b))/(-4*A*c**2 + 2*B*b*c))/2 - sqrt(-1/(4*a*c - b**2)**3)*(-2*A*c + B*b)*log(x**2 + (-2*A*b*c + B*b**2 + 16*a**2*c**2*sqrt(-1/(4*a*c - b**2)**3)*(-2*A*c + B*b) - 8*a*b**2*c*sqrt(-1/(4*a*c - b**2)**3)*(-2*A*c + B*b) + b**4*sqrt(-1/(4*a*c - b**2)**3)*(-2*A*c + B*b))/(-4*A*c**2 + 2*B*b*c))/2 + (A*b - 2*B*a + x**2*(2*A*c - B*b))/(8*a**2*c - 2*a*b**2 + x**4*(8*a*c**2 - 2*b**2*c) + x**2*(8*a*b*c - 2*b**3))","B",0
116,-1,0,0,0.000000," ","integrate((B*x**2+A)/x/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
117,-1,0,0,0.000000," ","integrate((B*x**2+A)/x**3/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,-1,0,0,0.000000," ","integrate(x**6*(B*x**2+A)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
119,-1,0,0,0.000000," ","integrate(x**4*(B*x**2+A)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
120,-1,0,0,0.000000," ","integrate(x**2*(B*x**2+A)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
121,-1,0,0,0.000000," ","integrate((B*x**2+A)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
122,-1,0,0,0.000000," ","integrate((B*x**2+A)/x**2/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
123,-1,0,0,0.000000," ","integrate((B*x**2+A)/x**4/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
124,-1,0,0,0.000000," ","integrate(x**11*(B*x**2+A)/(c*x**4+b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
125,-1,0,0,0.000000," ","integrate(x**9*(B*x**2+A)/(c*x**4+b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
126,1,775,0,102.043294," ","integrate(x**7*(B*x**2+A)/(c*x**4+b*x**2+a)**3,x)","- \frac{3 a \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- A b + 2 B a\right) \log{\left(x^{2} + \frac{- 3 A a b^{2} + 6 B a^{2} b - 192 a^{4} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- A b + 2 B a\right) + 144 a^{3} b^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- A b + 2 B a\right) - 36 a^{2} b^{4} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- A b + 2 B a\right) + 3 a b^{6} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- A b + 2 B a\right)}{- 6 A a b c + 12 B a^{2} c} \right)}}{2} + \frac{3 a \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- A b + 2 B a\right) \log{\left(x^{2} + \frac{- 3 A a b^{2} + 6 B a^{2} b + 192 a^{4} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- A b + 2 B a\right) - 144 a^{3} b^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- A b + 2 B a\right) + 36 a^{2} b^{4} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- A b + 2 B a\right) - 3 a b^{6} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- A b + 2 B a\right)}{- 6 A a b c + 12 B a^{2} c} \right)}}{2} + \frac{- 8 A a^{3} c^{2} - A a^{2} b^{2} c + 10 B a^{3} b c - B a^{2} b^{3} + x^{6} \left(- 6 A a b c^{3} - 20 B a^{2} c^{3} + 16 B a b^{2} c^{2} - 2 B b^{4} c\right) + x^{4} \left(- 16 A a^{2} c^{3} - A a b^{2} c^{2} - A b^{4} c + 2 B a^{2} b c^{2} + 8 B a b^{3} c - B b^{5}\right) + x^{2} \left(- 10 A a^{2} b c^{2} - 2 A a b^{3} c - 12 B a^{3} c^{2} + 20 B a^{2} b^{2} c - 2 B a b^{4}\right)}{64 a^{4} c^{4} - 32 a^{3} b^{2} c^{3} + 4 a^{2} b^{4} c^{2} + x^{8} \left(64 a^{2} c^{6} - 32 a b^{2} c^{5} + 4 b^{4} c^{4}\right) + x^{6} \left(128 a^{2} b c^{5} - 64 a b^{3} c^{4} + 8 b^{5} c^{3}\right) + x^{4} \left(128 a^{3} c^{5} - 24 a b^{4} c^{3} + 4 b^{6} c^{2}\right) + x^{2} \left(128 a^{3} b c^{4} - 64 a^{2} b^{3} c^{3} + 8 a b^{5} c^{2}\right)}"," ",0,"-3*a*sqrt(-1/(4*a*c - b**2)**5)*(-A*b + 2*B*a)*log(x**2 + (-3*A*a*b**2 + 6*B*a**2*b - 192*a**4*c**3*sqrt(-1/(4*a*c - b**2)**5)*(-A*b + 2*B*a) + 144*a**3*b**2*c**2*sqrt(-1/(4*a*c - b**2)**5)*(-A*b + 2*B*a) - 36*a**2*b**4*c*sqrt(-1/(4*a*c - b**2)**5)*(-A*b + 2*B*a) + 3*a*b**6*sqrt(-1/(4*a*c - b**2)**5)*(-A*b + 2*B*a))/(-6*A*a*b*c + 12*B*a**2*c))/2 + 3*a*sqrt(-1/(4*a*c - b**2)**5)*(-A*b + 2*B*a)*log(x**2 + (-3*A*a*b**2 + 6*B*a**2*b + 192*a**4*c**3*sqrt(-1/(4*a*c - b**2)**5)*(-A*b + 2*B*a) - 144*a**3*b**2*c**2*sqrt(-1/(4*a*c - b**2)**5)*(-A*b + 2*B*a) + 36*a**2*b**4*c*sqrt(-1/(4*a*c - b**2)**5)*(-A*b + 2*B*a) - 3*a*b**6*sqrt(-1/(4*a*c - b**2)**5)*(-A*b + 2*B*a))/(-6*A*a*b*c + 12*B*a**2*c))/2 + (-8*A*a**3*c**2 - A*a**2*b**2*c + 10*B*a**3*b*c - B*a**2*b**3 + x**6*(-6*A*a*b*c**3 - 20*B*a**2*c**3 + 16*B*a*b**2*c**2 - 2*B*b**4*c) + x**4*(-16*A*a**2*c**3 - A*a*b**2*c**2 - A*b**4*c + 2*B*a**2*b*c**2 + 8*B*a*b**3*c - B*b**5) + x**2*(-10*A*a**2*b*c**2 - 2*A*a*b**3*c - 12*B*a**3*c**2 + 20*B*a**2*b**2*c - 2*B*a*b**4))/(64*a**4*c**4 - 32*a**3*b**2*c**3 + 4*a**2*b**4*c**2 + x**8*(64*a**2*c**6 - 32*a*b**2*c**5 + 4*b**4*c**4) + x**6*(128*a**2*b*c**5 - 64*a*b**3*c**4 + 8*b**5*c**3) + x**4*(128*a**3*c**5 - 24*a*b**4*c**3 + 4*b**6*c**2) + x**2*(128*a**3*b*c**4 - 64*a**2*b**3*c**3 + 8*a*b**5*c**2))","B",0
127,1,833,0,44.844090," ","integrate(x**5*(B*x**2+A)/(c*x**4+b*x**2+a)**3,x)","\frac{\sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A a c - A b^{2} + 3 B a b\right) \log{\left(x^{2} + \frac{- 2 A a b c - A b^{3} + 3 B a b^{2} - 64 a^{3} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A a c - A b^{2} + 3 B a b\right) + 48 a^{2} b^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A a c - A b^{2} + 3 B a b\right) - 12 a b^{4} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A a c - A b^{2} + 3 B a b\right) + b^{6} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A a c - A b^{2} + 3 B a b\right)}{- 4 A a c^{2} - 2 A b^{2} c + 6 B a b c} \right)}}{2} - \frac{\sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A a c - A b^{2} + 3 B a b\right) \log{\left(x^{2} + \frac{- 2 A a b c - A b^{3} + 3 B a b^{2} + 64 a^{3} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A a c - A b^{2} + 3 B a b\right) - 48 a^{2} b^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A a c - A b^{2} + 3 B a b\right) + 12 a b^{4} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A a c - A b^{2} + 3 B a b\right) - b^{6} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A a c - A b^{2} + 3 B a b\right)}{- 4 A a c^{2} - 2 A b^{2} c + 6 B a b c} \right)}}{2} + \frac{6 A a^{2} b c - 8 B a^{3} c - B a^{2} b^{2} + x^{6} \left(4 A a c^{3} + 2 A b^{2} c^{2} - 6 B a b c^{2}\right) + x^{4} \left(6 A a b c^{2} + 3 A b^{3} c - 16 B a^{2} c^{2} - B a b^{2} c - B b^{4}\right) + x^{2} \left(- 4 A a^{2} c^{2} + 10 A a b^{2} c - 10 B a^{2} b c - 2 B a b^{3}\right)}{64 a^{4} c^{3} - 32 a^{3} b^{2} c^{2} + 4 a^{2} b^{4} c + x^{8} \left(64 a^{2} c^{5} - 32 a b^{2} c^{4} + 4 b^{4} c^{3}\right) + x^{6} \left(128 a^{2} b c^{4} - 64 a b^{3} c^{3} + 8 b^{5} c^{2}\right) + x^{4} \left(128 a^{3} c^{4} - 24 a b^{4} c^{2} + 4 b^{6} c\right) + x^{2} \left(128 a^{3} b c^{3} - 64 a^{2} b^{3} c^{2} + 8 a b^{5} c\right)}"," ",0,"sqrt(-1/(4*a*c - b**2)**5)*(-2*A*a*c - A*b**2 + 3*B*a*b)*log(x**2 + (-2*A*a*b*c - A*b**3 + 3*B*a*b**2 - 64*a**3*c**3*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*a*c - A*b**2 + 3*B*a*b) + 48*a**2*b**2*c**2*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*a*c - A*b**2 + 3*B*a*b) - 12*a*b**4*c*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*a*c - A*b**2 + 3*B*a*b) + b**6*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*a*c - A*b**2 + 3*B*a*b))/(-4*A*a*c**2 - 2*A*b**2*c + 6*B*a*b*c))/2 - sqrt(-1/(4*a*c - b**2)**5)*(-2*A*a*c - A*b**2 + 3*B*a*b)*log(x**2 + (-2*A*a*b*c - A*b**3 + 3*B*a*b**2 + 64*a**3*c**3*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*a*c - A*b**2 + 3*B*a*b) - 48*a**2*b**2*c**2*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*a*c - A*b**2 + 3*B*a*b) + 12*a*b**4*c*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*a*c - A*b**2 + 3*B*a*b) - b**6*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*a*c - A*b**2 + 3*B*a*b))/(-4*A*a*c**2 - 2*A*b**2*c + 6*B*a*b*c))/2 + (6*A*a**2*b*c - 8*B*a**3*c - B*a**2*b**2 + x**6*(4*A*a*c**3 + 2*A*b**2*c**2 - 6*B*a*b*c**2) + x**4*(6*A*a*b*c**2 + 3*A*b**3*c - 16*B*a**2*c**2 - B*a*b**2*c - B*b**4) + x**2*(-4*A*a**2*c**2 + 10*A*a*b**2*c - 10*B*a**2*b*c - 2*B*a*b**3))/(64*a**4*c**3 - 32*a**3*b**2*c**2 + 4*a**2*b**4*c + x**8*(64*a**2*c**5 - 32*a*b**2*c**4 + 4*b**4*c**3) + x**6*(128*a**2*b*c**4 - 64*a*b**3*c**3 + 8*b**5*c**2) + x**4*(128*a**3*c**4 - 24*a*b**4*c**2 + 4*b**6*c) + x**2*(128*a**3*b*c**3 - 64*a**2*b**3*c**2 + 8*a*b**5*c))","B",0
128,1,789,0,21.367057," ","integrate(x**3*(B*x**2+A)/(c*x**4+b*x**2+a)**3,x)","- \frac{\sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 3 A b c + 2 B a c + B b^{2}\right) \log{\left(x^{2} + \frac{- 3 A b^{2} c + 2 B a b c + B b^{3} - 64 a^{3} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 3 A b c + 2 B a c + B b^{2}\right) + 48 a^{2} b^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 3 A b c + 2 B a c + B b^{2}\right) - 12 a b^{4} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 3 A b c + 2 B a c + B b^{2}\right) + b^{6} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 3 A b c + 2 B a c + B b^{2}\right)}{- 6 A b c^{2} + 4 B a c^{2} + 2 B b^{2} c} \right)}}{2} + \frac{\sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 3 A b c + 2 B a c + B b^{2}\right) \log{\left(x^{2} + \frac{- 3 A b^{2} c + 2 B a b c + B b^{3} + 64 a^{3} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 3 A b c + 2 B a c + B b^{2}\right) - 48 a^{2} b^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 3 A b c + 2 B a c + B b^{2}\right) + 12 a b^{4} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 3 A b c + 2 B a c + B b^{2}\right) - b^{6} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 3 A b c + 2 B a c + B b^{2}\right)}{- 6 A b c^{2} + 4 B a c^{2} + 2 B b^{2} c} \right)}}{2} + \frac{- 8 A a^{2} c - A a b^{2} + 6 B a^{2} b + x^{6} \left(- 6 A b c^{2} + 4 B a c^{2} + 2 B b^{2} c\right) + x^{4} \left(- 9 A b^{2} c + 6 B a b c + 3 B b^{3}\right) + x^{2} \left(- 10 A a b c - 2 A b^{3} - 4 B a^{2} c + 10 B a b^{2}\right)}{64 a^{4} c^{2} - 32 a^{3} b^{2} c + 4 a^{2} b^{4} + x^{8} \left(64 a^{2} c^{4} - 32 a b^{2} c^{3} + 4 b^{4} c^{2}\right) + x^{6} \left(128 a^{2} b c^{3} - 64 a b^{3} c^{2} + 8 b^{5} c\right) + x^{4} \left(128 a^{3} c^{3} - 24 a b^{4} c + 4 b^{6}\right) + x^{2} \left(128 a^{3} b c^{2} - 64 a^{2} b^{3} c + 8 a b^{5}\right)}"," ",0,"-sqrt(-1/(4*a*c - b**2)**5)*(-3*A*b*c + 2*B*a*c + B*b**2)*log(x**2 + (-3*A*b**2*c + 2*B*a*b*c + B*b**3 - 64*a**3*c**3*sqrt(-1/(4*a*c - b**2)**5)*(-3*A*b*c + 2*B*a*c + B*b**2) + 48*a**2*b**2*c**2*sqrt(-1/(4*a*c - b**2)**5)*(-3*A*b*c + 2*B*a*c + B*b**2) - 12*a*b**4*c*sqrt(-1/(4*a*c - b**2)**5)*(-3*A*b*c + 2*B*a*c + B*b**2) + b**6*sqrt(-1/(4*a*c - b**2)**5)*(-3*A*b*c + 2*B*a*c + B*b**2))/(-6*A*b*c**2 + 4*B*a*c**2 + 2*B*b**2*c))/2 + sqrt(-1/(4*a*c - b**2)**5)*(-3*A*b*c + 2*B*a*c + B*b**2)*log(x**2 + (-3*A*b**2*c + 2*B*a*b*c + B*b**3 + 64*a**3*c**3*sqrt(-1/(4*a*c - b**2)**5)*(-3*A*b*c + 2*B*a*c + B*b**2) - 48*a**2*b**2*c**2*sqrt(-1/(4*a*c - b**2)**5)*(-3*A*b*c + 2*B*a*c + B*b**2) + 12*a*b**4*c*sqrt(-1/(4*a*c - b**2)**5)*(-3*A*b*c + 2*B*a*c + B*b**2) - b**6*sqrt(-1/(4*a*c - b**2)**5)*(-3*A*b*c + 2*B*a*c + B*b**2))/(-6*A*b*c**2 + 4*B*a*c**2 + 2*B*b**2*c))/2 + (-8*A*a**2*c - A*a*b**2 + 6*B*a**2*b + x**6*(-6*A*b*c**2 + 4*B*a*c**2 + 2*B*b**2*c) + x**4*(-9*A*b**2*c + 6*B*a*b*c + 3*B*b**3) + x**2*(-10*A*a*b*c - 2*A*b**3 - 4*B*a**2*c + 10*B*a*b**2))/(64*a**4*c**2 - 32*a**3*b**2*c + 4*a**2*b**4 + x**8*(64*a**2*c**4 - 32*a*b**2*c**3 + 4*b**4*c**2) + x**6*(128*a**2*b*c**3 - 64*a*b**3*c**2 + 8*b**5*c) + x**4*(128*a**3*c**3 - 24*a*b**4*c + 4*b**6) + x**2*(128*a**3*b*c**2 - 64*a**2*b**3*c + 8*a*b**5))","B",0
129,1,661,0,12.403800," ","integrate(x*(B*x**2+A)/(c*x**4+b*x**2+a)**3,x)","\frac{3 c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A c + B b\right) \log{\left(x^{2} + \frac{- 6 A b c^{2} + 3 B b^{2} c - 192 a^{3} c^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A c + B b\right) + 144 a^{2} b^{2} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A c + B b\right) - 36 a b^{4} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A c + B b\right) + 3 b^{6} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A c + B b\right)}{- 12 A c^{3} + 6 B b c^{2}} \right)}}{2} - \frac{3 c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A c + B b\right) \log{\left(x^{2} + \frac{- 6 A b c^{2} + 3 B b^{2} c + 192 a^{3} c^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A c + B b\right) - 144 a^{2} b^{2} c^{3} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A c + B b\right) + 36 a b^{4} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A c + B b\right) - 3 b^{6} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{5}}} \left(- 2 A c + B b\right)}{- 12 A c^{3} + 6 B b c^{2}} \right)}}{2} + \frac{10 A a b c - A b^{3} - 8 B a^{2} c - B a b^{2} + x^{6} \left(12 A c^{3} - 6 B b c^{2}\right) + x^{4} \left(18 A b c^{2} - 9 B b^{2} c\right) + x^{2} \left(20 A a c^{2} + 4 A b^{2} c - 10 B a b c - 2 B b^{3}\right)}{64 a^{4} c^{2} - 32 a^{3} b^{2} c + 4 a^{2} b^{4} + x^{8} \left(64 a^{2} c^{4} - 32 a b^{2} c^{3} + 4 b^{4} c^{2}\right) + x^{6} \left(128 a^{2} b c^{3} - 64 a b^{3} c^{2} + 8 b^{5} c\right) + x^{4} \left(128 a^{3} c^{3} - 24 a b^{4} c + 4 b^{6}\right) + x^{2} \left(128 a^{3} b c^{2} - 64 a^{2} b^{3} c + 8 a b^{5}\right)}"," ",0,"3*c*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*c + B*b)*log(x**2 + (-6*A*b*c**2 + 3*B*b**2*c - 192*a**3*c**4*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*c + B*b) + 144*a**2*b**2*c**3*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*c + B*b) - 36*a*b**4*c**2*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*c + B*b) + 3*b**6*c*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*c + B*b))/(-12*A*c**3 + 6*B*b*c**2))/2 - 3*c*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*c + B*b)*log(x**2 + (-6*A*b*c**2 + 3*B*b**2*c + 192*a**3*c**4*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*c + B*b) - 144*a**2*b**2*c**3*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*c + B*b) + 36*a*b**4*c**2*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*c + B*b) - 3*b**6*c*sqrt(-1/(4*a*c - b**2)**5)*(-2*A*c + B*b))/(-12*A*c**3 + 6*B*b*c**2))/2 + (10*A*a*b*c - A*b**3 - 8*B*a**2*c - B*a*b**2 + x**6*(12*A*c**3 - 6*B*b*c**2) + x**4*(18*A*b*c**2 - 9*B*b**2*c) + x**2*(20*A*a*c**2 + 4*A*b**2*c - 10*B*a*b*c - 2*B*b**3))/(64*a**4*c**2 - 32*a**3*b**2*c + 4*a**2*b**4 + x**8*(64*a**2*c**4 - 32*a*b**2*c**3 + 4*b**4*c**2) + x**6*(128*a**2*b*c**3 - 64*a*b**3*c**2 + 8*b**5*c) + x**4*(128*a**3*c**3 - 24*a*b**4*c + 4*b**6) + x**2*(128*a**3*b*c**2 - 64*a**2*b**3*c + 8*a*b**5))","B",0
130,-1,0,0,0.000000," ","integrate((B*x**2+A)/x/(c*x**4+b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,-1,0,0,0.000000," ","integrate((B*x**2+A)/x**3/(c*x**4+b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate(x**8*(B*x**2+A)/(c*x**4+b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,-1,0,0,0.000000," ","integrate(x**6*(B*x**2+A)/(c*x**4+b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
134,-1,0,0,0.000000," ","integrate(x**4*(B*x**2+A)/(c*x**4+b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
135,-1,0,0,0.000000," ","integrate(x**2*(B*x**2+A)/(c*x**4+b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
136,-1,0,0,0.000000," ","integrate((B*x**2+A)/(c*x**4+b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,1,17,0,0.121379," ","integrate(x*(4*x**2-7)/(x**4-5*x**2+4),x)","\frac{3 \log{\left(x^{2} - 4 \right)}}{2} + \frac{\log{\left(x^{2} - 1 \right)}}{2}"," ",0,"3*log(x**2 - 4)/2 + log(x**2 - 1)/2","A",0
138,1,17,0,0.114571," ","integrate((4*x**3-7*x)/(x**4-5*x**2+4),x)","\frac{3 \log{\left(x^{2} - 4 \right)}}{2} + \frac{\log{\left(x^{2} - 1 \right)}}{2}"," ",0,"3*log(x**2 - 4)/2 + log(x**2 - 1)/2","A",0
139,1,37,0,0.120260," ","integrate(x*(x**2+2)/(x**4+x**2+1),x)","\frac{\log{\left(x^{4} + x^{2} + 1 \right)}}{4} + \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x^{2}}{3} + \frac{\sqrt{3}}{3} \right)}}{2}"," ",0,"log(x**4 + x**2 + 1)/4 + sqrt(3)*atan(2*sqrt(3)*x**2/3 + sqrt(3)/3)/2","A",0
140,1,37,0,0.121103," ","integrate((x**3+2*x)/(x**4+x**2+1),x)","\frac{\log{\left(x^{4} + x^{2} + 1 \right)}}{4} + \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x^{2}}{3} + \frac{\sqrt{3}}{3} \right)}}{2}"," ",0,"log(x**4 + x**2 + 1)/4 + sqrt(3)*atan(2*sqrt(3)*x**2/3 + sqrt(3)/3)/2","A",0
141,1,44,0,0.151887," ","integrate((2*x**3+11*x)/(x**4+2*x**2+3)**2,x)","\frac{9 x^{2} + 5}{8 x^{4} + 16 x^{2} + 24} + \frac{9 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x^{2}}{2} + \frac{\sqrt{2}}{2} \right)}}{16}"," ",0,"(9*x**2 + 5)/(8*x**4 + 16*x**2 + 24) + 9*sqrt(2)*atan(sqrt(2)*x**2/2 + sqrt(2)/2)/16","A",0
142,0,0,0,0.000000," ","integrate(x**5*(3*x**2+2)*(x**4+5*x**2+3)**(1/2),x)","\int x^{5} \left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}\, dx"," ",0,"Integral(x**5*(3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3), x)","F",0
143,0,0,0,0.000000," ","integrate(x**3*(3*x**2+2)*(x**4+5*x**2+3)**(1/2),x)","\int x^{3} \left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}\, dx"," ",0,"Integral(x**3*(3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3), x)","F",0
144,0,0,0,0.000000," ","integrate(x*(3*x**2+2)*(x**4+5*x**2+3)**(1/2),x)","\int x \left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}\, dx"," ",0,"Integral(x*(3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3), x)","F",0
145,0,0,0,0.000000," ","integrate((3*x**2+2)*(x**4+5*x**2+3)**(1/2)/x,x)","\int \frac{\left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}}{x}\, dx"," ",0,"Integral((3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3)/x, x)","F",0
146,0,0,0,0.000000," ","integrate((3*x**2+2)*(x**4+5*x**2+3)**(1/2)/x**3,x)","\int \frac{\left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}}{x^{3}}\, dx"," ",0,"Integral((3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3)/x**3, x)","F",0
147,0,0,0,0.000000," ","integrate((3*x**2+2)*(x**4+5*x**2+3)**(1/2)/x**5,x)","\int \frac{\left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}}{x^{5}}\, dx"," ",0,"Integral((3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3)/x**5, x)","F",0
148,0,0,0,0.000000," ","integrate((3*x**2+2)*(x**4+5*x**2+3)**(1/2)/x**7,x)","\int \frac{\left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}}{x^{7}}\, dx"," ",0,"Integral((3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3)/x**7, x)","F",0
149,0,0,0,0.000000," ","integrate((3*x**2+2)*(x**4+5*x**2+3)**(1/2)/x**9,x)","\int \frac{\left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}}{x^{9}}\, dx"," ",0,"Integral((3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3)/x**9, x)","F",0
150,0,0,0,0.000000," ","integrate((3*x**2+2)*(x**4+5*x**2+3)**(1/2)/x**11,x)","\int \frac{\left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}}{x^{11}}\, dx"," ",0,"Integral((3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3)/x**11, x)","F",0
151,0,0,0,0.000000," ","integrate(x**4*(3*x**2+2)*(x**4+5*x**2+3)**(1/2),x)","\int x^{4} \left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}\, dx"," ",0,"Integral(x**4*(3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3), 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)","\int x^{2} \left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}\, dx"," ",0,"Integral(x**2*(3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3), x)","F",0
153,0,0,0,0.000000," ","integrate((3*x**2+2)*(x**4+5*x**2+3)**(1/2),x)","\int \left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}\, dx"," ",0,"Integral((3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3), 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)","\int \frac{\left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}}{x^{2}}\, dx"," ",0,"Integral((3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3)/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)","\int \frac{\left(3 x^{2} + 2\right) \sqrt{x^{4} + 5 x^{2} + 3}}{x^{4}}\, dx"," ",0,"Integral((3*x**2 + 2)*sqrt(x**4 + 5*x**2 + 3)/x**4, x)","F",0
156,0,0,0,0.000000," ","integrate(x**5*(3*x**2+2)*(x**4+5*x**2+3)**(3/2),x)","\int x^{5} \left(3 x^{2} + 2\right) \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**5*(3*x**2 + 2)*(x**4 + 5*x**2 + 3)**(3/2), x)","F",0
157,0,0,0,0.000000," ","integrate(x**3*(3*x**2+2)*(x**4+5*x**2+3)**(3/2),x)","\int x^{3} \left(3 x^{2} + 2\right) \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**3*(3*x**2 + 2)*(x**4 + 5*x**2 + 3)**(3/2), x)","F",0
158,0,0,0,0.000000," ","integrate(x*(3*x**2+2)*(x**4+5*x**2+3)**(3/2),x)","\int x \left(3 x^{2} + 2\right) \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x*(3*x**2 + 2)*(x**4 + 5*x**2 + 3)**(3/2), x)","F",0
159,0,0,0,0.000000," ","integrate((3*x**2+2)*(x**4+5*x**2+3)**(3/2)/x,x)","\int \frac{\left(3 x^{2} + 2\right) \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}{x}\, dx"," ",0,"Integral((3*x**2 + 2)*(x**4 + 5*x**2 + 3)**(3/2)/x, x)","F",0
160,0,0,0,0.000000," ","integrate((3*x**2+2)*(x**4+5*x**2+3)**(3/2)/x**3,x)","\int \frac{\left(3 x^{2} + 2\right) \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}{x^{3}}\, dx"," ",0,"Integral((3*x**2 + 2)*(x**4 + 5*x**2 + 3)**(3/2)/x**3, x)","F",0
161,0,0,0,0.000000," ","integrate((3*x**2+2)*(x**4+5*x**2+3)**(3/2)/x**5,x)","\int \frac{\left(3 x^{2} + 2\right) \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}{x^{5}}\, dx"," ",0,"Integral((3*x**2 + 2)*(x**4 + 5*x**2 + 3)**(3/2)/x**5, x)","F",0
162,0,0,0,0.000000," ","integrate((3*x**2+2)*(x**4+5*x**2+3)**(3/2)/x**7,x)","\int \frac{\left(3 x^{2} + 2\right) \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}{x^{7}}\, dx"," ",0,"Integral((3*x**2 + 2)*(x**4 + 5*x**2 + 3)**(3/2)/x**7, x)","F",0
163,0,0,0,0.000000," ","integrate(x**4*(3*x**2+2)*(x**4+5*x**2+3)**(3/2),x)","\int x^{4} \left(3 x^{2} + 2\right) \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**4*(3*x**2 + 2)*(x**4 + 5*x**2 + 3)**(3/2), 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)","\int x^{2} \left(3 x^{2} + 2\right) \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(x**2*(3*x**2 + 2)*(x**4 + 5*x**2 + 3)**(3/2), x)","F",0
165,0,0,0,0.000000," ","integrate((3*x**2+2)*(x**4+5*x**2+3)**(3/2),x)","\int \left(3 x^{2} + 2\right) \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((3*x**2 + 2)*(x**4 + 5*x**2 + 3)**(3/2), 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)","\int \frac{\left(3 x^{2} + 2\right) \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}{x^{2}}\, dx"," ",0,"Integral((3*x**2 + 2)*(x**4 + 5*x**2 + 3)**(3/2)/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)","\int \frac{\left(3 x^{2} + 2\right) \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}{x^{4}}\, dx"," ",0,"Integral((3*x**2 + 2)*(x**4 + 5*x**2 + 3)**(3/2)/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)","\int \frac{\left(3 x^{2} + 2\right) \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}{x^{6}}\, dx"," ",0,"Integral((3*x**2 + 2)*(x**4 + 5*x**2 + 3)**(3/2)/x**6, x)","F",0
169,0,0,0,0.000000," ","integrate(x**5*(B*x**2+A)/(c*x**4+b*x**2+a)**(1/2),x)","\int \frac{x^{5} \left(A + B x^{2}\right)}{\sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral(x**5*(A + B*x**2)/sqrt(a + b*x**2 + c*x**4), x)","F",0
170,0,0,0,0.000000," ","integrate(x**3*(B*x**2+A)/(c*x**4+b*x**2+a)**(1/2),x)","\int \frac{x^{3} \left(A + B x^{2}\right)}{\sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral(x**3*(A + B*x**2)/sqrt(a + b*x**2 + c*x**4), x)","F",0
171,0,0,0,0.000000," ","integrate(x*(B*x**2+A)/(c*x**4+b*x**2+a)**(1/2),x)","\int \frac{x \left(A + B x^{2}\right)}{\sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral(x*(A + B*x**2)/sqrt(a + b*x**2 + c*x**4), x)","F",0
172,0,0,0,0.000000," ","integrate((B*x**2+A)/x/(c*x**4+b*x**2+a)**(1/2),x)","\int \frac{A + B x^{2}}{x \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral((A + B*x**2)/(x*sqrt(a + b*x**2 + c*x**4)), x)","F",0
173,0,0,0,0.000000," ","integrate((B*x**2+A)/x**3/(c*x**4+b*x**2+a)**(1/2),x)","\int \frac{A + B x^{2}}{x^{3} \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral((A + B*x**2)/(x**3*sqrt(a + b*x**2 + c*x**4)), x)","F",0
174,0,0,0,0.000000," ","integrate((B*x**2+A)/x**5/(c*x**4+b*x**2+a)**(1/2),x)","\int \frac{A + B x^{2}}{x^{5} \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral((A + B*x**2)/(x**5*sqrt(a + b*x**2 + c*x**4)), x)","F",0
175,0,0,0,0.000000," ","integrate((B*x**2+A)/x**7/(c*x**4+b*x**2+a)**(1/2),x)","\int \frac{A + B x^{2}}{x^{7} \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral((A + B*x**2)/(x**7*sqrt(a + b*x**2 + c*x**4)), x)","F",0
176,0,0,0,0.000000," ","integrate(x**4*(B*x**2+A)/(c*x**4+b*x**2+a)**(1/2),x)","\int \frac{x^{4} \left(A + B x^{2}\right)}{\sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral(x**4*(A + B*x**2)/sqrt(a + b*x**2 + c*x**4), 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)","\int \frac{x^{2} \left(A + B x^{2}\right)}{\sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral(x**2*(A + B*x**2)/sqrt(a + b*x**2 + c*x**4), x)","F",0
178,0,0,0,0.000000," ","integrate((B*x**2+A)/(c*x**4+b*x**2+a)**(1/2),x)","\int \frac{A + B x^{2}}{\sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral((A + B*x**2)/sqrt(a + b*x**2 + c*x**4), 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)","\int \frac{A + B x^{2}}{x^{2} \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral((A + B*x**2)/(x**2*sqrt(a + b*x**2 + c*x**4)), 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)","\int \frac{A + B x^{2}}{x^{4} \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral((A + B*x**2)/(x**4*sqrt(a + b*x**2 + c*x**4)), x)","F",0
181,0,0,0,0.000000," ","integrate(x**7*(3*x**2+2)/(x**4+5*x**2+3)**(1/2),x)","\int \frac{x^{7} \left(3 x^{2} + 2\right)}{\sqrt{x^{4} + 5 x^{2} + 3}}\, dx"," ",0,"Integral(x**7*(3*x**2 + 2)/sqrt(x**4 + 5*x**2 + 3), x)","F",0
182,0,0,0,0.000000," ","integrate(x**5*(3*x**2+2)/(x**4+5*x**2+3)**(1/2),x)","\int \frac{x^{5} \left(3 x^{2} + 2\right)}{\sqrt{x^{4} + 5 x^{2} + 3}}\, dx"," ",0,"Integral(x**5*(3*x**2 + 2)/sqrt(x**4 + 5*x**2 + 3), x)","F",0
183,0,0,0,0.000000," ","integrate(x**3*(3*x**2+2)/(x**4+5*x**2+3)**(1/2),x)","\int \frac{x^{3} \left(3 x^{2} + 2\right)}{\sqrt{x^{4} + 5 x^{2} + 3}}\, dx"," ",0,"Integral(x**3*(3*x**2 + 2)/sqrt(x**4 + 5*x**2 + 3), x)","F",0
184,0,0,0,0.000000," ","integrate(x*(3*x**2+2)/(x**4+5*x**2+3)**(1/2),x)","\int \frac{x \left(3 x^{2} + 2\right)}{\sqrt{x^{4} + 5 x^{2} + 3}}\, dx"," ",0,"Integral(x*(3*x**2 + 2)/sqrt(x**4 + 5*x**2 + 3), x)","F",0
185,0,0,0,0.000000," ","integrate((3*x**2+2)/x/(x**4+5*x**2+3)**(1/2),x)","\int \frac{3 x^{2} + 2}{x \sqrt{x^{4} + 5 x^{2} + 3}}\, dx"," ",0,"Integral((3*x**2 + 2)/(x*sqrt(x**4 + 5*x**2 + 3)), x)","F",0
186,0,0,0,0.000000," ","integrate((3*x**2+2)/x**3/(x**4+5*x**2+3)**(1/2),x)","\int \frac{3 x^{2} + 2}{x^{3} \sqrt{x^{4} + 5 x^{2} + 3}}\, dx"," ",0,"Integral((3*x**2 + 2)/(x**3*sqrt(x**4 + 5*x**2 + 3)), x)","F",0
187,0,0,0,0.000000," ","integrate((3*x**2+2)/x**5/(x**4+5*x**2+3)**(1/2),x)","\int \frac{3 x^{2} + 2}{x^{5} \sqrt{x^{4} + 5 x^{2} + 3}}\, dx"," ",0,"Integral((3*x**2 + 2)/(x**5*sqrt(x**4 + 5*x**2 + 3)), x)","F",0
188,0,0,0,0.000000," ","integrate((3*x**2+2)/x**7/(x**4+5*x**2+3)**(1/2),x)","\int \frac{3 x^{2} + 2}{x^{7} \sqrt{x^{4} + 5 x^{2} + 3}}\, dx"," ",0,"Integral((3*x**2 + 2)/(x**7*sqrt(x**4 + 5*x**2 + 3)), x)","F",0
189,0,0,0,0.000000," ","integrate(x**4*(3*x**2+2)/(x**4+5*x**2+3)**(1/2),x)","\int \frac{x^{4} \left(3 x^{2} + 2\right)}{\sqrt{x^{4} + 5 x^{2} + 3}}\, dx"," ",0,"Integral(x**4*(3*x**2 + 2)/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)","\int \frac{x^{2} \left(3 x^{2} + 2\right)}{\sqrt{x^{4} + 5 x^{2} + 3}}\, dx"," ",0,"Integral(x**2*(3*x**2 + 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)","\int \frac{3 x^{2} + 2}{\sqrt{x^{4} + 5 x^{2} + 3}}\, dx"," ",0,"Integral((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)","\int \frac{3 x^{2} + 2}{x^{2} \sqrt{x^{4} + 5 x^{2} + 3}}\, dx"," ",0,"Integral((3*x**2 + 2)/(x**2*sqrt(x**4 + 5*x**2 + 3)), 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)","\int \frac{3 x^{2} + 2}{x^{4} \sqrt{x^{4} + 5 x^{2} + 3}}\, dx"," ",0,"Integral((3*x**2 + 2)/(x**4*sqrt(x**4 + 5*x**2 + 3)), x)","F",0
194,0,0,0,0.000000," ","integrate(x**5*(3*x**2+2)/(x**4+5*x**2+3)**(3/2),x)","\int \frac{x^{5} \left(3 x^{2} + 2\right)}{\left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**5*(3*x**2 + 2)/(x**4 + 5*x**2 + 3)**(3/2), x)","F",0
195,0,0,0,0.000000," ","integrate(x**3*(3*x**2+2)/(x**4+5*x**2+3)**(3/2),x)","\int \frac{x^{3} \left(3 x^{2} + 2\right)}{\left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3*(3*x**2 + 2)/(x**4 + 5*x**2 + 3)**(3/2), x)","F",0
196,0,0,0,0.000000," ","integrate(x*(3*x**2+2)/(x**4+5*x**2+3)**(3/2),x)","\int \frac{x \left(3 x^{2} + 2\right)}{\left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x*(3*x**2 + 2)/(x**4 + 5*x**2 + 3)**(3/2), x)","F",0
197,0,0,0,0.000000," ","integrate((3*x**2+2)/x/(x**4+5*x**2+3)**(3/2),x)","\int \frac{3 x^{2} + 2}{x \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x**2 + 2)/(x*(x**4 + 5*x**2 + 3)**(3/2)), x)","F",0
198,0,0,0,0.000000," ","integrate((3*x**2+2)/x**3/(x**4+5*x**2+3)**(3/2),x)","\int \frac{3 x^{2} + 2}{x^{3} \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x**2 + 2)/(x**3*(x**4 + 5*x**2 + 3)**(3/2)), x)","F",0
199,0,0,0,0.000000," ","integrate(x**4*(3*x**2+2)/(x**4+5*x**2+3)**(3/2),x)","\int \frac{x^{4} \left(3 x^{2} + 2\right)}{\left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4*(3*x**2 + 2)/(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)","\int \frac{x^{2} \left(3 x^{2} + 2\right)}{\left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2*(3*x**2 + 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)","\int \frac{3 x^{2} + 2}{\left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((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)","\int \frac{3 x^{2} + 2}{x^{2} \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x**2 + 2)/(x**2*(x**4 + 5*x**2 + 3)**(3/2)), 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)","\int \frac{3 x^{2} + 2}{x^{4} \left(x^{4} + 5 x^{2} + 3\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((3*x**2 + 2)/(x**4*(x**4 + 5*x**2 + 3)**(3/2)), 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)","\int \left(f x\right)^{\frac{3}{2}} \left(d + e x^{2}\right) \sqrt{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral((f*x)**(3/2)*(d + e*x**2)*sqrt(a + b*x**2 + c*x**4), 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)","\int \sqrt{f x} \left(d + e x^{2}\right) \sqrt{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(sqrt(f*x)*(d + e*x**2)*sqrt(a + b*x**2 + c*x**4), 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)","\int \frac{\left(d + e x^{2}\right) \sqrt{a + b x^{2} + c x^{4}}}{\sqrt{f x}}\, dx"," ",0,"Integral((d + e*x**2)*sqrt(a + b*x**2 + c*x**4)/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)","\int \frac{\left(d + e x^{2}\right) \sqrt{a + b x^{2} + c x^{4}}}{\left(f x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((d + e*x**2)*sqrt(a + b*x**2 + c*x**4)/(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)","\int \left(f x\right)^{\frac{3}{2}} \left(d + e x^{2}\right) \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((f*x)**(3/2)*(d + e*x**2)*(a + b*x**2 + c*x**4)**(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)","\int \sqrt{f x} \left(d + e x^{2}\right) \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(sqrt(f*x)*(d + e*x**2)*(a + b*x**2 + c*x**4)**(3/2), 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)","\int \frac{\left(d + e x^{2}\right) \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}{\sqrt{f x}}\, dx"," ",0,"Integral((d + e*x**2)*(a + b*x**2 + c*x**4)**(3/2)/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)","\int \frac{\left(d + e x^{2}\right) \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}{\left(f x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((d + e*x**2)*(a + b*x**2 + c*x**4)**(3/2)/(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)","\int \frac{\left(f x\right)^{\frac{3}{2}} \left(d + e x^{2}\right)}{\sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral((f*x)**(3/2)*(d + e*x**2)/sqrt(a + b*x**2 + c*x**4), 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)","\int \frac{\sqrt{f x} \left(d + e x^{2}\right)}{\sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral(sqrt(f*x)*(d + e*x**2)/sqrt(a + b*x**2 + c*x**4), 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)","\int \frac{d + e x^{2}}{\sqrt{f x} \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral((d + e*x**2)/(sqrt(f*x)*sqrt(a + b*x**2 + c*x**4)), 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)","\int \frac{d + e x^{2}}{\left(f x\right)^{\frac{3}{2}} \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral((d + e*x**2)/((f*x)**(3/2)*sqrt(a + b*x**2 + c*x**4)), x)","F",0
216,-1,0,0,0.000000," ","integrate((f*x)**(3/2)*(e*x**2+d)/(c*x**4+b*x**2+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
217,-1,0,0,0.000000," ","integrate((f*x)**(1/2)*(e*x**2+d)/(c*x**4+b*x**2+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{d + e x^{2}}{\sqrt{f x} \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((d + e*x**2)/(sqrt(f*x)*(a + b*x**2 + c*x**4)**(3/2)), x)","F",0
219,-1,0,0,0.000000," ","integrate((e*x**2+d)/(f*x)**(3/2)/(c*x**4+b*x**2+a)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
220,1,11538,0,12.378298," ","integrate((f*x)**m*(e*x**2+d)*(c*x**4+b*x**2+a)**3,x)","\begin{cases} \frac{- \frac{a^{3} d}{14 x^{14}} - \frac{a^{3} e}{12 x^{12}} - \frac{a^{2} b d}{4 x^{12}} - \frac{3 a^{2} b e}{10 x^{10}} - \frac{3 a^{2} c d}{10 x^{10}} - \frac{3 a^{2} c e}{8 x^{8}} - \frac{3 a b^{2} d}{10 x^{10}} - \frac{3 a b^{2} e}{8 x^{8}} - \frac{3 a b c d}{4 x^{8}} - \frac{a b c e}{x^{6}} - \frac{a c^{2} d}{2 x^{6}} - \frac{3 a c^{2} e}{4 x^{4}} - \frac{b^{3} d}{8 x^{8}} - \frac{b^{3} e}{6 x^{6}} - \frac{b^{2} c d}{2 x^{6}} - \frac{3 b^{2} c e}{4 x^{4}} - \frac{3 b c^{2} d}{4 x^{4}} - \frac{3 b c^{2} e}{2 x^{2}} - \frac{c^{3} d}{2 x^{2}} + c^{3} e \log{\left(x \right)}}{f^{15}} & \text{for}\: m = -15 \\\frac{- \frac{a^{3} d}{12 x^{12}} - \frac{a^{3} e}{10 x^{10}} - \frac{3 a^{2} b d}{10 x^{10}} - \frac{3 a^{2} b e}{8 x^{8}} - \frac{3 a^{2} c d}{8 x^{8}} - \frac{a^{2} c e}{2 x^{6}} - \frac{3 a b^{2} d}{8 x^{8}} - \frac{a b^{2} e}{2 x^{6}} - \frac{a b c d}{x^{6}} - \frac{3 a b c e}{2 x^{4}} - \frac{3 a c^{2} d}{4 x^{4}} - \frac{3 a c^{2} e}{2 x^{2}} - \frac{b^{3} d}{6 x^{6}} - \frac{b^{3} e}{4 x^{4}} - \frac{3 b^{2} c d}{4 x^{4}} - \frac{3 b^{2} c e}{2 x^{2}} - \frac{3 b c^{2} d}{2 x^{2}} + 3 b c^{2} e \log{\left(x \right)} + c^{3} d \log{\left(x \right)} + \frac{c^{3} e x^{2}}{2}}{f^{13}} & \text{for}\: m = -13 \\\frac{- \frac{a^{3} d}{10 x^{10}} - \frac{a^{3} e}{8 x^{8}} - \frac{3 a^{2} b d}{8 x^{8}} - \frac{a^{2} b e}{2 x^{6}} - \frac{a^{2} c d}{2 x^{6}} - \frac{3 a^{2} c e}{4 x^{4}} - \frac{a b^{2} d}{2 x^{6}} - \frac{3 a b^{2} e}{4 x^{4}} - \frac{3 a b c d}{2 x^{4}} - \frac{3 a b c e}{x^{2}} - \frac{3 a c^{2} d}{2 x^{2}} + 3 a c^{2} e \log{\left(x \right)} - \frac{b^{3} d}{4 x^{4}} - \frac{b^{3} e}{2 x^{2}} - \frac{3 b^{2} c d}{2 x^{2}} + 3 b^{2} c e \log{\left(x \right)} + 3 b c^{2} d \log{\left(x \right)} + \frac{3 b c^{2} e x^{2}}{2} + \frac{c^{3} d x^{2}}{2} + \frac{c^{3} e x^{4}}{4}}{f^{11}} & \text{for}\: m = -11 \\\frac{- \frac{a^{3} d}{8 x^{8}} - \frac{a^{3} e}{6 x^{6}} - \frac{a^{2} b d}{2 x^{6}} - \frac{3 a^{2} b e}{4 x^{4}} - \frac{3 a^{2} c d}{4 x^{4}} - \frac{3 a^{2} c e}{2 x^{2}} - \frac{3 a b^{2} d}{4 x^{4}} - \frac{3 a b^{2} e}{2 x^{2}} - \frac{3 a b c d}{x^{2}} + 6 a b c e \log{\left(x \right)} + 3 a c^{2} d \log{\left(x \right)} + \frac{3 a c^{2} e x^{2}}{2} - \frac{b^{3} d}{2 x^{2}} + b^{3} e \log{\left(x \right)} + 3 b^{2} c d \log{\left(x \right)} + \frac{3 b^{2} c e x^{2}}{2} + \frac{3 b c^{2} d x^{2}}{2} + \frac{3 b c^{2} e x^{4}}{4} + \frac{c^{3} d x^{4}}{4} + \frac{c^{3} e x^{6}}{6}}{f^{9}} & \text{for}\: m = -9 \\\frac{- \frac{a^{3} d}{6 x^{6}} - \frac{a^{3} e}{4 x^{4}} - \frac{3 a^{2} b d}{4 x^{4}} - \frac{3 a^{2} b e}{2 x^{2}} - \frac{3 a^{2} c d}{2 x^{2}} + 3 a^{2} c e \log{\left(x \right)} - \frac{3 a b^{2} d}{2 x^{2}} + 3 a b^{2} e \log{\left(x \right)} + 6 a b c d \log{\left(x \right)} + 3 a b c e x^{2} + \frac{3 a c^{2} d x^{2}}{2} + \frac{3 a c^{2} e x^{4}}{4} + b^{3} d \log{\left(x \right)} + \frac{b^{3} e x^{2}}{2} + \frac{3 b^{2} c d x^{2}}{2} + \frac{3 b^{2} c e x^{4}}{4} + \frac{3 b c^{2} d x^{4}}{4} + \frac{b c^{2} e x^{6}}{2} + \frac{c^{3} d x^{6}}{6} + \frac{c^{3} e x^{8}}{8}}{f^{7}} & \text{for}\: m = -7 \\\frac{- \frac{a^{3} d}{4 x^{4}} - \frac{a^{3} e}{2 x^{2}} - \frac{3 a^{2} b d}{2 x^{2}} + 3 a^{2} b e \log{\left(x \right)} + 3 a^{2} c d \log{\left(x \right)} + \frac{3 a^{2} c e x^{2}}{2} + 3 a b^{2} d \log{\left(x \right)} + \frac{3 a b^{2} e x^{2}}{2} + 3 a b c d x^{2} + \frac{3 a b c e x^{4}}{2} + \frac{3 a c^{2} d x^{4}}{4} + \frac{a c^{2} e x^{6}}{2} + \frac{b^{3} d x^{2}}{2} + \frac{b^{3} e x^{4}}{4} + \frac{3 b^{2} c d x^{4}}{4} + \frac{b^{2} c e x^{6}}{2} + \frac{b c^{2} d x^{6}}{2} + \frac{3 b c^{2} e x^{8}}{8} + \frac{c^{3} d x^{8}}{8} + \frac{c^{3} e x^{10}}{10}}{f^{5}} & \text{for}\: m = -5 \\\frac{- \frac{a^{3} d}{2 x^{2}} + a^{3} e \log{\left(x \right)} + 3 a^{2} b d \log{\left(x \right)} + \frac{3 a^{2} b e x^{2}}{2} + \frac{3 a^{2} c d x^{2}}{2} + \frac{3 a^{2} c e x^{4}}{4} + \frac{3 a b^{2} d x^{2}}{2} + \frac{3 a b^{2} e x^{4}}{4} + \frac{3 a b c d x^{4}}{2} + a b c e x^{6} + \frac{a c^{2} d x^{6}}{2} + \frac{3 a c^{2} e x^{8}}{8} + \frac{b^{3} d x^{4}}{4} + \frac{b^{3} e x^{6}}{6} + \frac{b^{2} c d x^{6}}{2} + \frac{3 b^{2} c e x^{8}}{8} + \frac{3 b c^{2} d x^{8}}{8} + \frac{3 b c^{2} e x^{10}}{10} + \frac{c^{3} d x^{10}}{10} + \frac{c^{3} e x^{12}}{12}}{f^{3}} & \text{for}\: m = -3 \\\frac{a^{3} d \log{\left(x \right)} + \frac{a^{3} e x^{2}}{2} + \frac{3 a^{2} b d x^{2}}{2} + \frac{3 a^{2} b e x^{4}}{4} + \frac{3 a^{2} c d x^{4}}{4} + \frac{a^{2} c e x^{6}}{2} + \frac{3 a b^{2} d x^{4}}{4} + \frac{a b^{2} e x^{6}}{2} + a b c d x^{6} + \frac{3 a b c e x^{8}}{4} + \frac{3 a c^{2} d x^{8}}{8} + \frac{3 a c^{2} e x^{10}}{10} + \frac{b^{3} d x^{6}}{6} + \frac{b^{3} e x^{8}}{8} + \frac{3 b^{2} c d x^{8}}{8} + \frac{3 b^{2} c e x^{10}}{10} + \frac{3 b c^{2} d x^{10}}{10} + \frac{b c^{2} e x^{12}}{4} + \frac{c^{3} d x^{12}}{12} + \frac{c^{3} e x^{14}}{14}}{f} & \text{for}\: m = -1 \\\frac{a^{3} d f^{m} m^{7} x x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{63 a^{3} d f^{m} m^{6} x x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{1645 a^{3} d f^{m} m^{5} x x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{22995 a^{3} d f^{m} m^{4} x x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{185059 a^{3} d f^{m} m^{3} x x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{852957 a^{3} d f^{m} m^{2} x x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{2071215 a^{3} d f^{m} m x x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{2027025 a^{3} d f^{m} x x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{a^{3} e f^{m} m^{7} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{61 a^{3} e f^{m} m^{6} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{1525 a^{3} e f^{m} m^{5} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{20065 a^{3} e f^{m} m^{4} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{147859 a^{3} e f^{m} m^{3} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{594439 a^{3} e f^{m} m^{2} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{1140855 a^{3} e f^{m} m x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{675675 a^{3} e f^{m} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{3 a^{2} b d f^{m} m^{7} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{183 a^{2} b d f^{m} m^{6} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{4575 a^{2} b d f^{m} m^{5} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{60195 a^{2} b d f^{m} m^{4} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{443577 a^{2} b d f^{m} m^{3} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{1783317 a^{2} b d f^{m} m^{2} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{3422565 a^{2} b d f^{m} m x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{2027025 a^{2} b d f^{m} x^{3} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{3 a^{2} b e f^{m} m^{7} x^{5} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 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2924172 m^{2} + 4098240 m + 2027025} + \frac{700461 a c^{2} e f^{m} m^{2} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{1067445 a c^{2} e f^{m} m x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{552825 a c^{2} e f^{m} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{b^{3} d f^{m} m^{7} x^{7} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{57 b^{3} d f^{m} m^{6} x^{7} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{1309 b^{3} d f^{m} m^{5} x^{7} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{15477 b^{3} d f^{m} m^{4} x^{7} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{99715 b^{3} d f^{m} m^{3} x^{7} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{340011 b^{3} d f^{m} m^{2} x^{7} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{544095 b^{3} d f^{m} m x^{7} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{289575 b^{3} d f^{m} x^{7} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{b^{3} e f^{m} m^{7} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{55 b^{3} e f^{m} m^{6} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{1213 b^{3} e f^{m} m^{5} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{13723 b^{3} e f^{m} m^{4} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{84547 b^{3} e f^{m} m^{3} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{277093 b^{3} e f^{m} m^{2} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{430335 b^{3} e f^{m} m x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{225225 b^{3} e f^{m} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{3 b^{2} c d f^{m} m^{7} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{165 b^{2} c d f^{m} m^{6} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{3639 b^{2} c d f^{m} m^{5} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{41169 b^{2} c d f^{m} m^{4} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{253641 b^{2} c d f^{m} m^{3} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{831279 b^{2} c d f^{m} m^{2} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{1291005 b^{2} c d f^{m} m x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{675675 b^{2} c d f^{m} x^{9} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{3 b^{2} c e f^{m} m^{7} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{159 b^{2} c e f^{m} m^{6} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{3375 b^{2} c e f^{m} m^{5} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{36795 b^{2} c e f^{m} m^{4} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{219417 b^{2} c e f^{m} m^{3} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{700461 b^{2} c e f^{m} m^{2} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{1067445 b^{2} c e f^{m} m x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{552825 b^{2} c e f^{m} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{3 b c^{2} d f^{m} m^{7} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{159 b c^{2} d f^{m} m^{6} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{3375 b c^{2} d f^{m} m^{5} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{36795 b c^{2} d f^{m} m^{4} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{219417 b c^{2} d f^{m} m^{3} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{700461 b c^{2} d f^{m} m^{2} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{1067445 b c^{2} d f^{m} m x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{552825 b c^{2} d f^{m} x^{11} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{3 b c^{2} e f^{m} m^{7} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{153 b c^{2} e f^{m} m^{6} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{3135 b c^{2} e f^{m} m^{5} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{33165 b c^{2} e f^{m} m^{4} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{193017 b c^{2} e f^{m} m^{3} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{604827 b c^{2} e f^{m} m^{2} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{909765 b c^{2} e f^{m} m x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{467775 b c^{2} e f^{m} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{c^{3} d f^{m} m^{7} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{51 c^{3} d f^{m} m^{6} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{1045 c^{3} d f^{m} m^{5} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{11055 c^{3} d f^{m} m^{4} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{64339 c^{3} d f^{m} m^{3} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{201609 c^{3} d f^{m} m^{2} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{303255 c^{3} d f^{m} m x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{155925 c^{3} d f^{m} x^{13} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{c^{3} e f^{m} m^{7} x^{15} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{49 c^{3} e f^{m} m^{6} x^{15} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{973 c^{3} e f^{m} m^{5} x^{15} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{10045 c^{3} e f^{m} m^{4} x^{15} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{57379 c^{3} e f^{m} m^{3} x^{15} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{177331 c^{3} e f^{m} m^{2} x^{15} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{264207 c^{3} e f^{m} m x^{15} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} + \frac{135135 c^{3} e f^{m} x^{15} x^{m}}{m^{8} + 64 m^{7} + 1708 m^{6} + 24640 m^{5} + 208054 m^{4} + 1038016 m^{3} + 2924172 m^{2} + 4098240 m + 2027025} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**3*d/(14*x**14) - a**3*e/(12*x**12) - a**2*b*d/(4*x**12) - 3*a**2*b*e/(10*x**10) - 3*a**2*c*d/(10*x**10) - 3*a**2*c*e/(8*x**8) - 3*a*b**2*d/(10*x**10) - 3*a*b**2*e/(8*x**8) - 3*a*b*c*d/(4*x**8) - a*b*c*e/x**6 - a*c**2*d/(2*x**6) - 3*a*c**2*e/(4*x**4) - b**3*d/(8*x**8) - b**3*e/(6*x**6) - b**2*c*d/(2*x**6) - 3*b**2*c*e/(4*x**4) - 3*b*c**2*d/(4*x**4) - 3*b*c**2*e/(2*x**2) - c**3*d/(2*x**2) + c**3*e*log(x))/f**15, Eq(m, -15)), ((-a**3*d/(12*x**12) - a**3*e/(10*x**10) - 3*a**2*b*d/(10*x**10) - 3*a**2*b*e/(8*x**8) - 3*a**2*c*d/(8*x**8) - a**2*c*e/(2*x**6) - 3*a*b**2*d/(8*x**8) - a*b**2*e/(2*x**6) - a*b*c*d/x**6 - 3*a*b*c*e/(2*x**4) - 3*a*c**2*d/(4*x**4) - 3*a*c**2*e/(2*x**2) - b**3*d/(6*x**6) - b**3*e/(4*x**4) - 3*b**2*c*d/(4*x**4) - 3*b**2*c*e/(2*x**2) - 3*b*c**2*d/(2*x**2) + 3*b*c**2*e*log(x) + c**3*d*log(x) + c**3*e*x**2/2)/f**13, Eq(m, -13)), ((-a**3*d/(10*x**10) - a**3*e/(8*x**8) - 3*a**2*b*d/(8*x**8) - a**2*b*e/(2*x**6) - a**2*c*d/(2*x**6) - 3*a**2*c*e/(4*x**4) - a*b**2*d/(2*x**6) - 3*a*b**2*e/(4*x**4) - 3*a*b*c*d/(2*x**4) - 3*a*b*c*e/x**2 - 3*a*c**2*d/(2*x**2) + 3*a*c**2*e*log(x) - b**3*d/(4*x**4) - b**3*e/(2*x**2) - 3*b**2*c*d/(2*x**2) + 3*b**2*c*e*log(x) + 3*b*c**2*d*log(x) + 3*b*c**2*e*x**2/2 + c**3*d*x**2/2 + c**3*e*x**4/4)/f**11, Eq(m, -11)), ((-a**3*d/(8*x**8) - a**3*e/(6*x**6) - a**2*b*d/(2*x**6) - 3*a**2*b*e/(4*x**4) - 3*a**2*c*d/(4*x**4) - 3*a**2*c*e/(2*x**2) - 3*a*b**2*d/(4*x**4) - 3*a*b**2*e/(2*x**2) - 3*a*b*c*d/x**2 + 6*a*b*c*e*log(x) + 3*a*c**2*d*log(x) + 3*a*c**2*e*x**2/2 - b**3*d/(2*x**2) + b**3*e*log(x) + 3*b**2*c*d*log(x) + 3*b**2*c*e*x**2/2 + 3*b*c**2*d*x**2/2 + 3*b*c**2*e*x**4/4 + c**3*d*x**4/4 + c**3*e*x**6/6)/f**9, Eq(m, -9)), ((-a**3*d/(6*x**6) - a**3*e/(4*x**4) - 3*a**2*b*d/(4*x**4) - 3*a**2*b*e/(2*x**2) - 3*a**2*c*d/(2*x**2) + 3*a**2*c*e*log(x) - 3*a*b**2*d/(2*x**2) + 3*a*b**2*e*log(x) + 6*a*b*c*d*log(x) + 3*a*b*c*e*x**2 + 3*a*c**2*d*x**2/2 + 3*a*c**2*e*x**4/4 + b**3*d*log(x) + b**3*e*x**2/2 + 3*b**2*c*d*x**2/2 + 3*b**2*c*e*x**4/4 + 3*b*c**2*d*x**4/4 + b*c**2*e*x**6/2 + c**3*d*x**6/6 + c**3*e*x**8/8)/f**7, Eq(m, -7)), ((-a**3*d/(4*x**4) - a**3*e/(2*x**2) - 3*a**2*b*d/(2*x**2) + 3*a**2*b*e*log(x) + 3*a**2*c*d*log(x) + 3*a**2*c*e*x**2/2 + 3*a*b**2*d*log(x) + 3*a*b**2*e*x**2/2 + 3*a*b*c*d*x**2 + 3*a*b*c*e*x**4/2 + 3*a*c**2*d*x**4/4 + a*c**2*e*x**6/2 + b**3*d*x**2/2 + b**3*e*x**4/4 + 3*b**2*c*d*x**4/4 + b**2*c*e*x**6/2 + b*c**2*d*x**6/2 + 3*b*c**2*e*x**8/8 + c**3*d*x**8/8 + c**3*e*x**10/10)/f**5, Eq(m, -5)), ((-a**3*d/(2*x**2) + a**3*e*log(x) + 3*a**2*b*d*log(x) + 3*a**2*b*e*x**2/2 + 3*a**2*c*d*x**2/2 + 3*a**2*c*e*x**4/4 + 3*a*b**2*d*x**2/2 + 3*a*b**2*e*x**4/4 + 3*a*b*c*d*x**4/2 + a*b*c*e*x**6 + a*c**2*d*x**6/2 + 3*a*c**2*e*x**8/8 + b**3*d*x**4/4 + b**3*e*x**6/6 + b**2*c*d*x**6/2 + 3*b**2*c*e*x**8/8 + 3*b*c**2*d*x**8/8 + 3*b*c**2*e*x**10/10 + c**3*d*x**10/10 + c**3*e*x**12/12)/f**3, Eq(m, -3)), ((a**3*d*log(x) + a**3*e*x**2/2 + 3*a**2*b*d*x**2/2 + 3*a**2*b*e*x**4/4 + 3*a**2*c*d*x**4/4 + a**2*c*e*x**6/2 + 3*a*b**2*d*x**4/4 + a*b**2*e*x**6/2 + a*b*c*d*x**6 + 3*a*b*c*e*x**8/4 + 3*a*c**2*d*x**8/8 + 3*a*c**2*e*x**10/10 + b**3*d*x**6/6 + b**3*e*x**8/8 + 3*b**2*c*d*x**8/8 + 3*b**2*c*e*x**10/10 + 3*b*c**2*d*x**10/10 + b*c**2*e*x**12/4 + c**3*d*x**12/12 + c**3*e*x**14/14)/f, Eq(m, -1)), (a**3*d*f**m*m**7*x*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 63*a**3*d*f**m*m**6*x*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1645*a**3*d*f**m*m**5*x*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 22995*a**3*d*f**m*m**4*x*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 185059*a**3*d*f**m*m**3*x*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 852957*a**3*d*f**m*m**2*x*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 2071215*a**3*d*f**m*m*x*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 2027025*a**3*d*f**m*x*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + a**3*e*f**m*m**7*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 61*a**3*e*f**m*m**6*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1525*a**3*e*f**m*m**5*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 20065*a**3*e*f**m*m**4*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 147859*a**3*e*f**m*m**3*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 594439*a**3*e*f**m*m**2*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1140855*a**3*e*f**m*m*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 675675*a**3*e*f**m*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 3*a**2*b*d*f**m*m**7*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 183*a**2*b*d*f**m*m**6*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 4575*a**2*b*d*f**m*m**5*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 60195*a**2*b*d*f**m*m**4*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 443577*a**2*b*d*f**m*m**3*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1783317*a**2*b*d*f**m*m**2*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 3422565*a**2*b*d*f**m*m*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 2027025*a**2*b*d*f**m*x**3*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 3*a**2*b*e*f**m*m**7*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 177*a**2*b*e*f**m*m**6*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 4239*a**2*b*e*f**m*m**5*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 52725*a**2*b*e*f**m*m**4*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 360537*a**2*b*e*f**m*m**3*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1311363*a**2*b*e*f**m*m**2*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 2215701*a**2*b*e*f**m*m*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1216215*a**2*b*e*f**m*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 3*a**2*c*d*f**m*m**7*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 177*a**2*c*d*f**m*m**6*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 4239*a**2*c*d*f**m*m**5*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 52725*a**2*c*d*f**m*m**4*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 360537*a**2*c*d*f**m*m**3*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1311363*a**2*c*d*f**m*m**2*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 2215701*a**2*c*d*f**m*m*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1216215*a**2*c*d*f**m*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 3*a**2*c*e*f**m*m**7*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 171*a**2*c*e*f**m*m**6*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 3927*a**2*c*e*f**m*m**5*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 46431*a**2*c*e*f**m*m**4*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 299145*a**2*c*e*f**m*m**3*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1020033*a**2*c*e*f**m*m**2*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1632285*a**2*c*e*f**m*m*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 868725*a**2*c*e*f**m*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 3*a*b**2*d*f**m*m**7*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 177*a*b**2*d*f**m*m**6*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 4239*a*b**2*d*f**m*m**5*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 52725*a*b**2*d*f**m*m**4*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 360537*a*b**2*d*f**m*m**3*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1311363*a*b**2*d*f**m*m**2*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 2215701*a*b**2*d*f**m*m*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1216215*a*b**2*d*f**m*x**5*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 3*a*b**2*e*f**m*m**7*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 171*a*b**2*e*f**m*m**6*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 3927*a*b**2*e*f**m*m**5*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 46431*a*b**2*e*f**m*m**4*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 299145*a*b**2*e*f**m*m**3*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1020033*a*b**2*e*f**m*m**2*x**7*x**m/(m**8 + 64*m**7 + 1708*m**6 + 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4098240*m + 2027025) + 3135*b*c**2*e*f**m*m**5*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 33165*b*c**2*e*f**m*m**4*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 193017*b*c**2*e*f**m*m**3*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 604827*b*c**2*e*f**m*m**2*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 909765*b*c**2*e*f**m*m*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 467775*b*c**2*e*f**m*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + c**3*d*f**m*m**7*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 51*c**3*d*f**m*m**6*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 1045*c**3*d*f**m*m**5*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 11055*c**3*d*f**m*m**4*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 64339*c**3*d*f**m*m**3*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 201609*c**3*d*f**m*m**2*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 303255*c**3*d*f**m*m*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 155925*c**3*d*f**m*x**13*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + c**3*e*f**m*m**7*x**15*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 49*c**3*e*f**m*m**6*x**15*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 973*c**3*e*f**m*m**5*x**15*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 10045*c**3*e*f**m*m**4*x**15*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 57379*c**3*e*f**m*m**3*x**15*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 177331*c**3*e*f**m*m**2*x**15*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 264207*c**3*e*f**m*m*x**15*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025) + 135135*c**3*e*f**m*x**15*x**m/(m**8 + 64*m**7 + 1708*m**6 + 24640*m**5 + 208054*m**4 + 1038016*m**3 + 2924172*m**2 + 4098240*m + 2027025), True))","A",0
221,1,4190,0,5.444184," ","integrate((f*x)**m*(e*x**2+d)*(c*x**4+b*x**2+a)**2,x)","\begin{cases} \frac{- \frac{a^{2} d}{10 x^{10}} - \frac{a^{2} e}{8 x^{8}} - \frac{a b d}{4 x^{8}} - \frac{a b e}{3 x^{6}} - \frac{a c d}{3 x^{6}} - \frac{a c e}{2 x^{4}} - \frac{b^{2} d}{6 x^{6}} - \frac{b^{2} e}{4 x^{4}} - \frac{b c d}{2 x^{4}} - \frac{b c e}{x^{2}} - \frac{c^{2} d}{2 x^{2}} + c^{2} e \log{\left(x \right)}}{f^{11}} & \text{for}\: m = -11 \\\frac{- \frac{a^{2} d}{8 x^{8}} - \frac{a^{2} e}{6 x^{6}} - \frac{a b d}{3 x^{6}} - \frac{a b e}{2 x^{4}} - \frac{a c d}{2 x^{4}} - \frac{a c e}{x^{2}} - \frac{b^{2} d}{4 x^{4}} - \frac{b^{2} e}{2 x^{2}} - \frac{b c d}{x^{2}} + 2 b c e \log{\left(x \right)} + c^{2} d \log{\left(x \right)} + \frac{c^{2} e x^{2}}{2}}{f^{9}} & \text{for}\: m = -9 \\\frac{- \frac{a^{2} d}{6 x^{6}} - \frac{a^{2} e}{4 x^{4}} - \frac{a b d}{2 x^{4}} - \frac{a b e}{x^{2}} - \frac{a c d}{x^{2}} + 2 a c e \log{\left(x \right)} - \frac{b^{2} d}{2 x^{2}} + b^{2} e \log{\left(x \right)} + 2 b c d \log{\left(x \right)} + b c e x^{2} + \frac{c^{2} d x^{2}}{2} + \frac{c^{2} e x^{4}}{4}}{f^{7}} & \text{for}\: m = -7 \\\frac{- \frac{a^{2} d}{4 x^{4}} - \frac{a^{2} e}{2 x^{2}} - \frac{a b d}{x^{2}} + 2 a b e \log{\left(x \right)} + 2 a c d \log{\left(x \right)} + a c e x^{2} + b^{2} d \log{\left(x \right)} + \frac{b^{2} e x^{2}}{2} + b c d x^{2} + \frac{b c e x^{4}}{2} + \frac{c^{2} d x^{4}}{4} + \frac{c^{2} e x^{6}}{6}}{f^{5}} & \text{for}\: m = -5 \\\frac{- \frac{a^{2} d}{2 x^{2}} + a^{2} e \log{\left(x \right)} + 2 a b d \log{\left(x \right)} + a b e x^{2} + a c d x^{2} + \frac{a c e x^{4}}{2} + \frac{b^{2} d x^{2}}{2} + \frac{b^{2} e x^{4}}{4} + \frac{b c d x^{4}}{2} + \frac{b c e x^{6}}{3} + \frac{c^{2} d x^{6}}{6} + \frac{c^{2} e x^{8}}{8}}{f^{3}} & \text{for}\: m = -3 \\\frac{a^{2} d \log{\left(x \right)} + \frac{a^{2} e x^{2}}{2} + a b d x^{2} + \frac{a b e x^{4}}{2} + \frac{a c d x^{4}}{2} + \frac{a c e x^{6}}{3} + \frac{b^{2} d x^{4}}{4} + \frac{b^{2} e x^{6}}{6} + \frac{b c d x^{6}}{3} + \frac{b c e x^{8}}{4} + \frac{c^{2} d x^{8}}{8} + \frac{c^{2} e x^{10}}{10}}{f} & \text{for}\: m = -1 \\\frac{a^{2} d f^{m} m^{5} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{35 a^{2} d f^{m} m^{4} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{470 a^{2} d f^{m} m^{3} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3010 a^{2} d f^{m} m^{2} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{9129 a^{2} d f^{m} m x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10395 a^{2} d f^{m} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{a^{2} e f^{m} m^{5} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{33 a^{2} e f^{m} m^{4} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{406 a^{2} e f^{m} m^{3} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2262 a^{2} e f^{m} m^{2} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5353 a^{2} e f^{m} m x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3465 a^{2} e f^{m} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 a b d f^{m} m^{5} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{66 a b d f^{m} m^{4} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{812 a b d f^{m} m^{3} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4524 a b d f^{m} m^{2} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10706 a b d f^{m} m x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6930 a b d f^{m} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 a b e f^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{62 a b e f^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{700 a b e f^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3460 a b e f^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6978 a b e f^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4158 a b e f^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 a c d f^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{62 a c d f^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{700 a c d f^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3460 a c d f^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6978 a c d f^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4158 a c d f^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 a c e f^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{58 a c e f^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{604 a c e f^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2732 a c e f^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5154 a c e f^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2970 a c e f^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{b^{2} d f^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{31 b^{2} d f^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{350 b^{2} d f^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1730 b^{2} d f^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3489 b^{2} d f^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2079 b^{2} d f^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{b^{2} e f^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{29 b^{2} e f^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{302 b^{2} e f^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1366 b^{2} e f^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2577 b^{2} e f^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1485 b^{2} e f^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 b c d f^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{58 b c d f^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{604 b c d f^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2732 b c d f^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5154 b c d f^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2970 b c d f^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 b c e f^{m} m^{5} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{54 b c e f^{m} m^{4} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{524 b c e f^{m} m^{3} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2244 b c e f^{m} m^{2} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4082 b c e f^{m} m x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2310 b c e f^{m} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{c^{2} d f^{m} m^{5} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{27 c^{2} d f^{m} m^{4} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{262 c^{2} d f^{m} m^{3} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1122 c^{2} d f^{m} m^{2} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2041 c^{2} d f^{m} m x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1155 c^{2} d f^{m} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{c^{2} e f^{m} m^{5} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{25 c^{2} e f^{m} m^{4} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{230 c^{2} e f^{m} m^{3} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{950 c^{2} e f^{m} m^{2} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1689 c^{2} e f^{m} m x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{945 c^{2} e f^{m} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**2*d/(10*x**10) - a**2*e/(8*x**8) - a*b*d/(4*x**8) - a*b*e/(3*x**6) - a*c*d/(3*x**6) - a*c*e/(2*x**4) - b**2*d/(6*x**6) - b**2*e/(4*x**4) - b*c*d/(2*x**4) - b*c*e/x**2 - c**2*d/(2*x**2) + c**2*e*log(x))/f**11, Eq(m, -11)), ((-a**2*d/(8*x**8) - a**2*e/(6*x**6) - a*b*d/(3*x**6) - a*b*e/(2*x**4) - a*c*d/(2*x**4) - a*c*e/x**2 - b**2*d/(4*x**4) - b**2*e/(2*x**2) - b*c*d/x**2 + 2*b*c*e*log(x) + c**2*d*log(x) + c**2*e*x**2/2)/f**9, Eq(m, -9)), ((-a**2*d/(6*x**6) - a**2*e/(4*x**4) - a*b*d/(2*x**4) - a*b*e/x**2 - a*c*d/x**2 + 2*a*c*e*log(x) - b**2*d/(2*x**2) + b**2*e*log(x) + 2*b*c*d*log(x) + b*c*e*x**2 + c**2*d*x**2/2 + c**2*e*x**4/4)/f**7, Eq(m, -7)), ((-a**2*d/(4*x**4) - a**2*e/(2*x**2) - a*b*d/x**2 + 2*a*b*e*log(x) + 2*a*c*d*log(x) + a*c*e*x**2 + b**2*d*log(x) + b**2*e*x**2/2 + b*c*d*x**2 + b*c*e*x**4/2 + c**2*d*x**4/4 + c**2*e*x**6/6)/f**5, Eq(m, -5)), ((-a**2*d/(2*x**2) + a**2*e*log(x) + 2*a*b*d*log(x) + a*b*e*x**2 + a*c*d*x**2 + a*c*e*x**4/2 + b**2*d*x**2/2 + b**2*e*x**4/4 + b*c*d*x**4/2 + b*c*e*x**6/3 + c**2*d*x**6/6 + c**2*e*x**8/8)/f**3, Eq(m, -3)), ((a**2*d*log(x) + a**2*e*x**2/2 + a*b*d*x**2 + a*b*e*x**4/2 + a*c*d*x**4/2 + a*c*e*x**6/3 + b**2*d*x**4/4 + b**2*e*x**6/6 + b*c*d*x**6/3 + b*c*e*x**8/4 + c**2*d*x**8/8 + c**2*e*x**10/10)/f, Eq(m, -1)), (a**2*d*f**m*m**5*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 35*a**2*d*f**m*m**4*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 470*a**2*d*f**m*m**3*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3010*a**2*d*f**m*m**2*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 9129*a**2*d*f**m*m*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10395*a**2*d*f**m*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + a**2*e*f**m*m**5*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 33*a**2*e*f**m*m**4*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 406*a**2*e*f**m*m**3*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2262*a**2*e*f**m*m**2*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5353*a**2*e*f**m*m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3465*a**2*e*f**m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*a*b*d*f**m*m**5*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 66*a*b*d*f**m*m**4*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 812*a*b*d*f**m*m**3*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4524*a*b*d*f**m*m**2*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10706*a*b*d*f**m*m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6930*a*b*d*f**m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*a*b*e*f**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 62*a*b*e*f**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 700*a*b*e*f**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3460*a*b*e*f**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6978*a*b*e*f**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4158*a*b*e*f**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*a*c*d*f**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 62*a*c*d*f**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 700*a*c*d*f**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3460*a*c*d*f**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6978*a*c*d*f**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4158*a*c*d*f**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*a*c*e*f**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 58*a*c*e*f**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 604*a*c*e*f**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2732*a*c*e*f**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5154*a*c*e*f**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2970*a*c*e*f**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + b**2*d*f**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 31*b**2*d*f**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 350*b**2*d*f**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1730*b**2*d*f**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3489*b**2*d*f**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2079*b**2*d*f**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + b**2*e*f**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 29*b**2*e*f**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 302*b**2*e*f**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1366*b**2*e*f**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2577*b**2*e*f**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1485*b**2*e*f**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*b*c*d*f**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 58*b*c*d*f**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 604*b*c*d*f**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2732*b*c*d*f**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5154*b*c*d*f**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2970*b*c*d*f**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*b*c*e*f**m*m**5*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 54*b*c*e*f**m*m**4*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 524*b*c*e*f**m*m**3*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2244*b*c*e*f**m*m**2*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4082*b*c*e*f**m*m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2310*b*c*e*f**m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + c**2*d*f**m*m**5*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 27*c**2*d*f**m*m**4*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 262*c**2*d*f**m*m**3*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1122*c**2*d*f**m*m**2*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2041*c**2*d*f**m*m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1155*c**2*d*f**m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + c**2*e*f**m*m**5*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 25*c**2*e*f**m*m**4*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 230*c**2*e*f**m*m**3*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 950*c**2*e*f**m*m**2*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1689*c**2*e*f**m*m*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 945*c**2*e*f**m*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395), True))","A",0
222,1,1056,0,1.861858," ","integrate((f*x)**m*(e*x**2+d)*(c*x**4+b*x**2+a),x)","\begin{cases} \frac{- \frac{a d}{6 x^{6}} - \frac{a e}{4 x^{4}} - \frac{b d}{4 x^{4}} - \frac{b e}{2 x^{2}} - \frac{c d}{2 x^{2}} + c e \log{\left(x \right)}}{f^{7}} & \text{for}\: m = -7 \\\frac{- \frac{a d}{4 x^{4}} - \frac{a e}{2 x^{2}} - \frac{b d}{2 x^{2}} + b e \log{\left(x \right)} + c d \log{\left(x \right)} + \frac{c e x^{2}}{2}}{f^{5}} & \text{for}\: m = -5 \\\frac{- \frac{a d}{2 x^{2}} + a e \log{\left(x \right)} + b d \log{\left(x \right)} + \frac{b e x^{2}}{2} + \frac{c d x^{2}}{2} + \frac{c e x^{4}}{4}}{f^{3}} & \text{for}\: m = -3 \\\frac{a d \log{\left(x \right)} + \frac{a e x^{2}}{2} + \frac{b d x^{2}}{2} + \frac{b e x^{4}}{4} + \frac{c d x^{4}}{4} + \frac{c e x^{6}}{6}}{f} & \text{for}\: m = -1 \\\frac{a d f^{m} m^{3} x x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{15 a d f^{m} m^{2} x x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{71 a d f^{m} m x x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{105 a d f^{m} x x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{a e f^{m} m^{3} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{13 a e f^{m} m^{2} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{47 a e f^{m} m x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{35 a e f^{m} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{b d f^{m} m^{3} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{13 b d f^{m} m^{2} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{47 b d f^{m} m x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{35 b d f^{m} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{b e f^{m} m^{3} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{11 b e f^{m} m^{2} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{31 b e f^{m} m x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{21 b e f^{m} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{c d f^{m} m^{3} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{11 c d f^{m} m^{2} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{31 c d f^{m} m x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{21 c d f^{m} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{c e f^{m} m^{3} x^{7} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{9 c e f^{m} m^{2} x^{7} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{23 c e f^{m} m x^{7} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{15 c e f^{m} x^{7} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a*d/(6*x**6) - a*e/(4*x**4) - b*d/(4*x**4) - b*e/(2*x**2) - c*d/(2*x**2) + c*e*log(x))/f**7, Eq(m, -7)), ((-a*d/(4*x**4) - a*e/(2*x**2) - b*d/(2*x**2) + b*e*log(x) + c*d*log(x) + c*e*x**2/2)/f**5, Eq(m, -5)), ((-a*d/(2*x**2) + a*e*log(x) + b*d*log(x) + b*e*x**2/2 + c*d*x**2/2 + c*e*x**4/4)/f**3, Eq(m, -3)), ((a*d*log(x) + a*e*x**2/2 + b*d*x**2/2 + b*e*x**4/4 + c*d*x**4/4 + c*e*x**6/6)/f, Eq(m, -1)), (a*d*f**m*m**3*x*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 15*a*d*f**m*m**2*x*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 71*a*d*f**m*m*x*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 105*a*d*f**m*x*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + a*e*f**m*m**3*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 13*a*e*f**m*m**2*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 47*a*e*f**m*m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 35*a*e*f**m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + b*d*f**m*m**3*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 13*b*d*f**m*m**2*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 47*b*d*f**m*m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 35*b*d*f**m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + b*e*f**m*m**3*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 11*b*e*f**m*m**2*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 31*b*e*f**m*m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 21*b*e*f**m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + c*d*f**m*m**3*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 11*c*d*f**m*m**2*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 31*c*d*f**m*m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 21*c*d*f**m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + c*e*f**m*m**3*x**7*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 9*c*e*f**m*m**2*x**7*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 23*c*e*f**m*m*x**7*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 15*c*e*f**m*x**7*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105), True))","A",0
223,0,0,0,0.000000," ","integrate((f*x)**m*(e*x**2+d)/(c*x**4+b*x**2+a),x)","\int \frac{\left(f x\right)^{m} \left(d + e x^{2}\right)}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral((f*x)**m*(d + e*x**2)/(a + b*x**2 + c*x**4), x)","F",0
224,-1,0,0,0.000000," ","integrate((f*x)**m*(e*x**2+d)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \left(f x\right)^{m} \left(d + e x^{2}\right) \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((f*x)**m*(d + e*x**2)*(a + b*x**2 + c*x**4)**(3/2), 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)","\int \left(f x\right)^{m} \left(d + e x^{2}\right) \sqrt{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral((f*x)**m*(d + e*x**2)*sqrt(a + b*x**2 + c*x**4), 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)","\int \frac{\left(f x\right)^{m} \left(d + e x^{2}\right)}{\sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral((f*x)**m*(d + e*x**2)/sqrt(a + b*x**2 + c*x**4), 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)","\int \frac{\left(f x\right)^{m} \left(d + e x^{2}\right)}{\left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((f*x)**m*(d + e*x**2)/(a + b*x**2 + c*x**4)**(3/2), x)","F",0
229,-1,0,0,0.000000," ","integrate(x**9/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
230,-1,0,0,0.000000," ","integrate(x**7/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
231,-1,0,0,0.000000," ","integrate(x**5/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
232,-1,0,0,0.000000," ","integrate(x**3/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
233,-1,0,0,0.000000," ","integrate(x/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
234,-1,0,0,0.000000," ","integrate(1/x/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
235,-1,0,0,0.000000," ","integrate(1/x**3/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
236,-1,0,0,0.000000," ","integrate(1/x**5/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
237,-1,0,0,0.000000," ","integrate(x**8/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
238,-1,0,0,0.000000," ","integrate(x**6/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
239,-1,0,0,0.000000," ","integrate(x**4/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
240,-1,0,0,0.000000," ","integrate(x**2/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
241,-1,0,0,0.000000," ","integrate(1/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
242,-1,0,0,0.000000," ","integrate(1/x**2/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
243,-1,0,0,0.000000," ","integrate(1/x**4/(e*x**2+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
244,-1,0,0,0.000000," ","integrate(x**9/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
245,-1,0,0,0.000000," ","integrate(x**7/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
246,-1,0,0,0.000000," ","integrate(x**5/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
247,-1,0,0,0.000000," ","integrate(x**3/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
248,-1,0,0,0.000000," ","integrate(x/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
249,-1,0,0,0.000000," ","integrate(1/x/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
250,-1,0,0,0.000000," ","integrate(1/x**3/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
251,-1,0,0,0.000000," ","integrate(1/x**5/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
252,-1,0,0,0.000000," ","integrate(x**8/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
253,-1,0,0,0.000000," ","integrate(x**6/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
254,-1,0,0,0.000000," ","integrate(x**4/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
255,-1,0,0,0.000000," ","integrate(x**2/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
256,-1,0,0,0.000000," ","integrate(1/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
257,-1,0,0,0.000000," ","integrate(1/x**2/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
258,-1,0,0,0.000000," ","integrate(1/x**4/(e*x**2+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
259,0,0,0,0.000000," ","integrate(x**2/(x**2+1)/(x**4+1)**(1/2),x)","\int \frac{x^{2}}{\left(x^{2} + 1\right) \sqrt{x^{4} + 1}}\, dx"," ",0,"Integral(x**2/((x**2 + 1)*sqrt(x**4 + 1)), x)","F",0
260,0,0,0,0.000000," ","integrate(x**2/(-x**2+1)/(x**4+1)**(1/2),x)","- \int \frac{x^{2}}{x^{2} \sqrt{x^{4} + 1} - \sqrt{x^{4} + 1}}\, dx"," ",0,"-Integral(x**2/(x**2*sqrt(x**4 + 1) - sqrt(x**4 + 1)), x)","F",0
261,0,0,0,0.000000," ","integrate(x**2/(x**2+1)/(-x**4+1)**(1/2),x)","\int \frac{x^{2}}{\sqrt{- \left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2/(sqrt(-(x - 1)*(x + 1)*(x**2 + 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)","- \int \frac{x^{2}}{x^{2} \sqrt{1 - x^{4}} - \sqrt{1 - x^{4}}}\, dx"," ",0,"-Integral(x**2/(x**2*sqrt(1 - x**4) - sqrt(1 - x**4)), x)","F",0
263,0,0,0,0.000000," ","integrate(x**2/(x**2+1)/(x**4-1)**(1/2),x)","\int \frac{x^{2}}{\sqrt{\left(x - 1\right) \left(x + 1\right) \left(x^{2} + 1\right)} \left(x^{2} + 1\right)}\, dx"," ",0,"Integral(x**2/(sqrt((x - 1)*(x + 1)*(x**2 + 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)","- \int \frac{x^{2}}{x^{2} \sqrt{x^{4} - 1} - \sqrt{x^{4} - 1}}\, dx"," ",0,"-Integral(x**2/(x**2*sqrt(x**4 - 1) - sqrt(x**4 - 1)), x)","F",0
265,0,0,0,0.000000," ","integrate(x**2/(x**2+1)/(-x**4-1)**(1/2),x)","\int \frac{x^{2}}{\left(x^{2} + 1\right) \sqrt{- x^{4} - 1}}\, dx"," ",0,"Integral(x**2/((x**2 + 1)*sqrt(-x**4 - 1)), x)","F",0
266,0,0,0,0.000000," ","integrate(x**2/(-x**2+1)/(-x**4-1)**(1/2),x)","- \int \frac{x^{2}}{x^{2} \sqrt{- x^{4} - 1} - \sqrt{- x^{4} - 1}}\, dx"," ",0,"-Integral(x**2/(x**2*sqrt(-x**4 - 1) - sqrt(-x**4 - 1)), x)","F",0
267,-1,0,0,0.000000," ","integrate(x**2*(d*x**2+c)**(1/2)*((b*x**2+a)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
268,-1,0,0,0.000000," ","integrate(x*(d*x**2+c)**(1/2)*((b*x**2+a)**2)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
269,0,0,0,0.000000," ","integrate((d*x**2+c)**(1/2)*((b*x**2+a)**2)**(1/2),x)","\int \sqrt{c + d x^{2}} \sqrt{\left(a + b x^{2}\right)^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)*sqrt((a + b*x**2)**2), x)","F",0
270,0,0,0,0.000000," ","integrate((d*x**2+c)**(1/2)*((b*x**2+a)**2)**(1/2)/x,x)","\int \frac{\sqrt{c + d x^{2}} \sqrt{\left(a + b x^{2}\right)^{2}}}{x}\, dx"," ",0,"Integral(sqrt(c + d*x**2)*sqrt((a + b*x**2)**2)/x, x)","F",0
271,0,0,0,0.000000," ","integrate((d*x**2+c)**(1/2)*((b*x**2+a)**2)**(1/2)/x**2,x)","\int \frac{\sqrt{c + d x^{2}} \sqrt{\left(a + b x^{2}\right)^{2}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(c + d*x**2)*sqrt((a + b*x**2)**2)/x**2, x)","F",0
272,-1,0,0,0.000000," ","integrate((d*x**2+c)**(1/2)*((b*x**2+a)**2)**(1/2)/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
273,1,76,0,0.079239," ","integrate(x**3*(e*x**2+d)**2*(c*x**4+b*x**2+a),x)","\frac{a d^{2} x^{4}}{4} + \frac{c e^{2} x^{12}}{12} + x^{10} \left(\frac{b e^{2}}{10} + \frac{c d e}{5}\right) + x^{8} \left(\frac{a e^{2}}{8} + \frac{b d e}{4} + \frac{c d^{2}}{8}\right) + x^{6} \left(\frac{a d e}{3} + \frac{b d^{2}}{6}\right)"," ",0,"a*d**2*x**4/4 + c*e**2*x**12/12 + x**10*(b*e**2/10 + c*d*e/5) + x**8*(a*e**2/8 + b*d*e/4 + c*d**2/8) + x**6*(a*d*e/3 + b*d**2/6)","A",0
274,1,82,0,0.078732," ","integrate(x**2*(e*x**2+d)**2*(c*x**4+b*x**2+a),x)","\frac{a d^{2} x^{3}}{3} + \frac{c e^{2} x^{11}}{11} + x^{9} \left(\frac{b e^{2}}{9} + \frac{2 c d e}{9}\right) + x^{7} \left(\frac{a e^{2}}{7} + \frac{2 b d e}{7} + \frac{c d^{2}}{7}\right) + x^{5} \left(\frac{2 a d e}{5} + \frac{b d^{2}}{5}\right)"," ",0,"a*d**2*x**3/3 + c*e**2*x**11/11 + x**9*(b*e**2/9 + 2*c*d*e/9) + x**7*(a*e**2/7 + 2*b*d*e/7 + c*d**2/7) + x**5*(2*a*d*e/5 + b*d**2/5)","A",0
275,1,76,0,0.076739," ","integrate(x*(e*x**2+d)**2*(c*x**4+b*x**2+a),x)","\frac{a d^{2} x^{2}}{2} + \frac{c e^{2} x^{10}}{10} + x^{8} \left(\frac{b e^{2}}{8} + \frac{c d e}{4}\right) + x^{6} \left(\frac{a e^{2}}{6} + \frac{b d e}{3} + \frac{c d^{2}}{6}\right) + x^{4} \left(\frac{a d e}{2} + \frac{b d^{2}}{4}\right)"," ",0,"a*d**2*x**2/2 + c*e**2*x**10/10 + x**8*(b*e**2/8 + c*d*e/4) + x**6*(a*e**2/6 + b*d*e/3 + c*d**2/6) + x**4*(a*d*e/2 + b*d**2/4)","A",0
276,1,78,0,0.077301," ","integrate((e*x**2+d)**2*(c*x**4+b*x**2+a),x)","a d^{2} x + \frac{c e^{2} x^{9}}{9} + x^{7} \left(\frac{b e^{2}}{7} + \frac{2 c d e}{7}\right) + x^{5} \left(\frac{a e^{2}}{5} + \frac{2 b d e}{5} + \frac{c d^{2}}{5}\right) + x^{3} \left(\frac{2 a d e}{3} + \frac{b d^{2}}{3}\right)"," ",0,"a*d**2*x + c*e**2*x**9/9 + x**7*(b*e**2/7 + 2*c*d*e/7) + x**5*(a*e**2/5 + 2*b*d*e/5 + c*d**2/5) + x**3*(2*a*d*e/3 + b*d**2/3)","A",0
277,1,73,0,0.171242," ","integrate((e*x**2+d)**2*(c*x**4+b*x**2+a)/x,x)","a d^{2} \log{\left(x \right)} + \frac{c e^{2} x^{8}}{8} + x^{6} \left(\frac{b e^{2}}{6} + \frac{c d e}{3}\right) + x^{4} \left(\frac{a e^{2}}{4} + \frac{b d e}{2} + \frac{c d^{2}}{4}\right) + x^{2} \left(a d e + \frac{b d^{2}}{2}\right)"," ",0,"a*d**2*log(x) + c*e**2*x**8/8 + x**6*(b*e**2/6 + c*d*e/3) + x**4*(a*e**2/4 + b*d*e/2 + c*d**2/4) + x**2*(a*d*e + b*d**2/2)","A",0
278,1,73,0,0.164060," ","integrate((e*x**2+d)**2*(c*x**4+b*x**2+a)/x**2,x)","- \frac{a d^{2}}{x} + \frac{c e^{2} x^{7}}{7} + x^{5} \left(\frac{b e^{2}}{5} + \frac{2 c d e}{5}\right) + x^{3} \left(\frac{a e^{2}}{3} + \frac{2 b d e}{3} + \frac{c d^{2}}{3}\right) + x \left(2 a d e + b d^{2}\right)"," ",0,"-a*d**2/x + c*e**2*x**7/7 + x**5*(b*e**2/5 + 2*c*d*e/5) + x**3*(a*e**2/3 + 2*b*d*e/3 + c*d**2/3) + x*(2*a*d*e + b*d**2)","A",0
279,1,71,0,0.262632," ","integrate((e*x**2+d)**2*(c*x**4+b*x**2+a)/x**3,x)","- \frac{a d^{2}}{2 x^{2}} + \frac{c e^{2} x^{6}}{6} + d \left(2 a e + b d\right) \log{\left(x \right)} + x^{4} \left(\frac{b e^{2}}{4} + \frac{c d e}{2}\right) + x^{2} \left(\frac{a e^{2}}{2} + b d e + \frac{c d^{2}}{2}\right)"," ",0,"-a*d**2/(2*x**2) + c*e**2*x**6/6 + d*(2*a*e + b*d)*log(x) + x**4*(b*e**2/4 + c*d*e/2) + x**2*(a*e**2/2 + b*d*e + c*d**2/2)","A",0
280,1,320,0,1.176931," ","integrate(x**6*(c*x**4+b*x**2+a)/(e*x**2+d)**2,x)","\frac{c x^{7}}{7 e^{2}} + x^{5} \left(\frac{b}{5 e^{2}} - \frac{2 c d}{5 e^{3}}\right) + x^{3} \left(\frac{a}{3 e^{2}} - \frac{2 b d}{3 e^{3}} + \frac{c d^{2}}{e^{4}}\right) + x \left(- \frac{2 a d}{e^{3}} + \frac{3 b d^{2}}{e^{4}} - \frac{4 c d^{3}}{e^{5}}\right) + \frac{x \left(- a d^{2} e^{2} + b d^{3} e - c d^{4}\right)}{2 d e^{5} + 2 e^{6} x^{2}} - \frac{\sqrt{- \frac{d^{3}}{e^{11}}} \left(5 a e^{2} - 7 b d e + 9 c d^{2}\right) \log{\left(- \frac{e^{5} \sqrt{- \frac{d^{3}}{e^{11}}} \left(5 a e^{2} - 7 b d e + 9 c d^{2}\right)}{5 a d e^{2} - 7 b d^{2} e + 9 c d^{3}} + x \right)}}{4} + \frac{\sqrt{- \frac{d^{3}}{e^{11}}} \left(5 a e^{2} - 7 b d e + 9 c d^{2}\right) \log{\left(\frac{e^{5} \sqrt{- \frac{d^{3}}{e^{11}}} \left(5 a e^{2} - 7 b d e + 9 c d^{2}\right)}{5 a d e^{2} - 7 b d^{2} e + 9 c d^{3}} + x \right)}}{4}"," ",0,"c*x**7/(7*e**2) + x**5*(b/(5*e**2) - 2*c*d/(5*e**3)) + x**3*(a/(3*e**2) - 2*b*d/(3*e**3) + c*d**2/e**4) + x*(-2*a*d/e**3 + 3*b*d**2/e**4 - 4*c*d**3/e**5) + x*(-a*d**2*e**2 + b*d**3*e - c*d**4)/(2*d*e**5 + 2*e**6*x**2) - sqrt(-d**3/e**11)*(5*a*e**2 - 7*b*d*e + 9*c*d**2)*log(-e**5*sqrt(-d**3/e**11)*(5*a*e**2 - 7*b*d*e + 9*c*d**2)/(5*a*d*e**2 - 7*b*d**2*e + 9*c*d**3) + x)/4 + sqrt(-d**3/e**11)*(5*a*e**2 - 7*b*d*e + 9*c*d**2)*log(e**5*sqrt(-d**3/e**11)*(5*a*e**2 - 7*b*d*e + 9*c*d**2)/(5*a*d*e**2 - 7*b*d**2*e + 9*c*d**3) + x)/4","B",0
281,1,189,0,1.084356," ","integrate(x**4*(c*x**4+b*x**2+a)/(e*x**2+d)**2,x)","\frac{c x^{5}}{5 e^{2}} + x^{3} \left(\frac{b}{3 e^{2}} - \frac{2 c d}{3 e^{3}}\right) + x \left(\frac{a}{e^{2}} - \frac{2 b d}{e^{3}} + \frac{3 c d^{2}}{e^{4}}\right) + \frac{x \left(a d e^{2} - b d^{2} e + c d^{3}\right)}{2 d e^{4} + 2 e^{5} x^{2}} + \frac{\sqrt{- \frac{d}{e^{9}}} \left(3 a e^{2} - 5 b d e + 7 c d^{2}\right) \log{\left(- e^{4} \sqrt{- \frac{d}{e^{9}}} + x \right)}}{4} - \frac{\sqrt{- \frac{d}{e^{9}}} \left(3 a e^{2} - 5 b d e + 7 c d^{2}\right) \log{\left(e^{4} \sqrt{- \frac{d}{e^{9}}} + x \right)}}{4}"," ",0,"c*x**5/(5*e**2) + x**3*(b/(3*e**2) - 2*c*d/(3*e**3)) + x*(a/e**2 - 2*b*d/e**3 + 3*c*d**2/e**4) + x*(a*d*e**2 - b*d**2*e + c*d**3)/(2*d*e**4 + 2*e**5*x**2) + sqrt(-d/e**9)*(3*a*e**2 - 5*b*d*e + 7*c*d**2)*log(-e**4*sqrt(-d/e**9) + x)/4 - sqrt(-d/e**9)*(3*a*e**2 - 5*b*d*e + 7*c*d**2)*log(e**4*sqrt(-d/e**9) + x)/4","A",0
282,1,162,0,0.966093," ","integrate(x**2*(c*x**4+b*x**2+a)/(e*x**2+d)**2,x)","\frac{c x^{3}}{3 e^{2}} + x \left(\frac{b}{e^{2}} - \frac{2 c d}{e^{3}}\right) + \frac{x \left(- a e^{2} + b d e - c d^{2}\right)}{2 d e^{3} + 2 e^{4} x^{2}} - \frac{\sqrt{- \frac{1}{d e^{7}}} \left(a e^{2} - 3 b d e + 5 c d^{2}\right) \log{\left(- d e^{3} \sqrt{- \frac{1}{d e^{7}}} + x \right)}}{4} + \frac{\sqrt{- \frac{1}{d e^{7}}} \left(a e^{2} - 3 b d e + 5 c d^{2}\right) \log{\left(d e^{3} \sqrt{- \frac{1}{d e^{7}}} + x \right)}}{4}"," ",0,"c*x**3/(3*e**2) + x*(b/e**2 - 2*c*d/e**3) + x*(-a*e**2 + b*d*e - c*d**2)/(2*d*e**3 + 2*e**4*x**2) - sqrt(-1/(d*e**7))*(a*e**2 - 3*b*d*e + 5*c*d**2)*log(-d*e**3*sqrt(-1/(d*e**7)) + x)/4 + sqrt(-1/(d*e**7))*(a*e**2 - 3*b*d*e + 5*c*d**2)*log(d*e**3*sqrt(-1/(d*e**7)) + x)/4","A",0
283,1,153,0,0.769811," ","integrate((c*x**4+b*x**2+a)/(e*x**2+d)**2,x)","\frac{c x}{e^{2}} + \frac{x \left(a e^{2} - b d e + c d^{2}\right)}{2 d^{2} e^{2} + 2 d e^{3} x^{2}} - \frac{\sqrt{- \frac{1}{d^{3} e^{5}}} \left(a e^{2} + b d e - 3 c d^{2}\right) \log{\left(- d^{2} e^{2} \sqrt{- \frac{1}{d^{3} e^{5}}} + x \right)}}{4} + \frac{\sqrt{- \frac{1}{d^{3} e^{5}}} \left(a e^{2} + b d e - 3 c d^{2}\right) \log{\left(d^{2} e^{2} \sqrt{- \frac{1}{d^{3} e^{5}}} + x \right)}}{4}"," ",0,"c*x/e**2 + x*(a*e**2 - b*d*e + c*d**2)/(2*d**2*e**2 + 2*d*e**3*x**2) - sqrt(-1/(d**3*e**5))*(a*e**2 + b*d*e - 3*c*d**2)*log(-d**2*e**2*sqrt(-1/(d**3*e**5)) + x)/4 + sqrt(-1/(d**3*e**5))*(a*e**2 + b*d*e - 3*c*d**2)*log(d**2*e**2*sqrt(-1/(d**3*e**5)) + x)/4","B",0
284,1,155,0,1.117833," ","integrate((c*x**4+b*x**2+a)/x**2/(e*x**2+d)**2,x)","\frac{\sqrt{- \frac{1}{d^{5} e^{3}}} \left(3 a e^{2} - b d e - c d^{2}\right) \log{\left(- d^{3} e \sqrt{- \frac{1}{d^{5} e^{3}}} + x \right)}}{4} - \frac{\sqrt{- \frac{1}{d^{5} e^{3}}} \left(3 a e^{2} - b d e - c d^{2}\right) \log{\left(d^{3} e \sqrt{- \frac{1}{d^{5} e^{3}}} + x \right)}}{4} + \frac{- 2 a d e + x^{2} \left(- 3 a e^{2} + b d e - c d^{2}\right)}{2 d^{3} e x + 2 d^{2} e^{2} x^{3}}"," ",0,"sqrt(-1/(d**5*e**3))*(3*a*e**2 - b*d*e - c*d**2)*log(-d**3*e*sqrt(-1/(d**5*e**3)) + x)/4 - sqrt(-1/(d**5*e**3))*(3*a*e**2 - b*d*e - c*d**2)*log(d**3*e*sqrt(-1/(d**5*e**3)) + x)/4 + (-2*a*d*e + x**2*(-3*a*e**2 + b*d*e - c*d**2))/(2*d**3*e*x + 2*d**2*e**2*x**3)","A",0
285,1,167,0,1.527026," ","integrate((c*x**4+b*x**2+a)/x**4/(e*x**2+d)**2,x)","- \frac{\sqrt{- \frac{1}{d^{7} e}} \left(5 a e^{2} - 3 b d e + c d^{2}\right) \log{\left(- d^{4} \sqrt{- \frac{1}{d^{7} e}} + x \right)}}{4} + \frac{\sqrt{- \frac{1}{d^{7} e}} \left(5 a e^{2} - 3 b d e + c d^{2}\right) \log{\left(d^{4} \sqrt{- \frac{1}{d^{7} e}} + x \right)}}{4} + \frac{- 2 a d^{2} + x^{4} \left(15 a e^{2} - 9 b d e + 3 c d^{2}\right) + x^{2} \left(10 a d e - 6 b d^{2}\right)}{6 d^{4} x^{3} + 6 d^{3} e x^{5}}"," ",0,"-sqrt(-1/(d**7*e))*(5*a*e**2 - 3*b*d*e + c*d**2)*log(-d**4*sqrt(-1/(d**7*e)) + x)/4 + sqrt(-1/(d**7*e))*(5*a*e**2 - 3*b*d*e + c*d**2)*log(d**4*sqrt(-1/(d**7*e)) + x)/4 + (-2*a*d**2 + x**4*(15*a*e**2 - 9*b*d*e + 3*c*d**2) + x**2*(10*a*d*e - 6*b*d**2))/(6*d**4*x**3 + 6*d**3*e*x**5)","A",0
286,1,284,0,2.133046," ","integrate((c*x**4+b*x**2+a)/x**6/(e*x**2+d)**2,x)","\frac{\sqrt{- \frac{e}{d^{9}}} \left(7 a e^{2} - 5 b d e + 3 c d^{2}\right) \log{\left(- \frac{d^{5} \sqrt{- \frac{e}{d^{9}}} \left(7 a e^{2} - 5 b d e + 3 c d^{2}\right)}{7 a e^{3} - 5 b d e^{2} + 3 c d^{2} e} + x \right)}}{4} - \frac{\sqrt{- \frac{e}{d^{9}}} \left(7 a e^{2} - 5 b d e + 3 c d^{2}\right) \log{\left(\frac{d^{5} \sqrt{- \frac{e}{d^{9}}} \left(7 a e^{2} - 5 b d e + 3 c d^{2}\right)}{7 a e^{3} - 5 b d e^{2} + 3 c d^{2} e} + x \right)}}{4} + \frac{- 6 a d^{3} + x^{6} \left(- 105 a e^{3} + 75 b d e^{2} - 45 c d^{2} e\right) + x^{4} \left(- 70 a d e^{2} + 50 b d^{2} e - 30 c d^{3}\right) + x^{2} \left(14 a d^{2} e - 10 b d^{3}\right)}{30 d^{5} x^{5} + 30 d^{4} e x^{7}}"," ",0,"sqrt(-e/d**9)*(7*a*e**2 - 5*b*d*e + 3*c*d**2)*log(-d**5*sqrt(-e/d**9)*(7*a*e**2 - 5*b*d*e + 3*c*d**2)/(7*a*e**3 - 5*b*d*e**2 + 3*c*d**2*e) + x)/4 - sqrt(-e/d**9)*(7*a*e**2 - 5*b*d*e + 3*c*d**2)*log(d**5*sqrt(-e/d**9)*(7*a*e**2 - 5*b*d*e + 3*c*d**2)/(7*a*e**3 - 5*b*d*e**2 + 3*c*d**2*e) + x)/4 + (-6*a*d**3 + x**6*(-105*a*e**3 + 75*b*d*e**2 - 45*c*d**2*e) + x**4*(-70*a*d*e**2 + 50*b*d**2*e - 30*c*d**3) + x**2*(14*a*d**2*e - 10*b*d**3))/(30*d**5*x**5 + 30*d**4*e*x**7)","B",0
287,1,328,0,2.678627," ","integrate((c*x**4+b*x**2+a)/x**8/(e*x**2+d)**2,x)","- \frac{\sqrt{- \frac{e^{3}}{d^{11}}} \left(9 a e^{2} - 7 b d e + 5 c d^{2}\right) \log{\left(- \frac{d^{6} \sqrt{- \frac{e^{3}}{d^{11}}} \left(9 a e^{2} - 7 b d e + 5 c d^{2}\right)}{9 a e^{4} - 7 b d e^{3} + 5 c d^{2} e^{2}} + x \right)}}{4} + \frac{\sqrt{- \frac{e^{3}}{d^{11}}} \left(9 a e^{2} - 7 b d e + 5 c d^{2}\right) \log{\left(\frac{d^{6} \sqrt{- \frac{e^{3}}{d^{11}}} \left(9 a e^{2} - 7 b d e + 5 c d^{2}\right)}{9 a e^{4} - 7 b d e^{3} + 5 c d^{2} e^{2}} + x \right)}}{4} + \frac{- 30 a d^{4} + x^{8} \left(945 a e^{4} - 735 b d e^{3} + 525 c d^{2} e^{2}\right) + x^{6} \left(630 a d e^{3} - 490 b d^{2} e^{2} + 350 c d^{3} e\right) + x^{4} \left(- 126 a d^{2} e^{2} + 98 b d^{3} e - 70 c d^{4}\right) + x^{2} \left(54 a d^{3} e - 42 b d^{4}\right)}{210 d^{6} x^{7} + 210 d^{5} e x^{9}}"," ",0,"-sqrt(-e**3/d**11)*(9*a*e**2 - 7*b*d*e + 5*c*d**2)*log(-d**6*sqrt(-e**3/d**11)*(9*a*e**2 - 7*b*d*e + 5*c*d**2)/(9*a*e**4 - 7*b*d*e**3 + 5*c*d**2*e**2) + x)/4 + sqrt(-e**3/d**11)*(9*a*e**2 - 7*b*d*e + 5*c*d**2)*log(d**6*sqrt(-e**3/d**11)*(9*a*e**2 - 7*b*d*e + 5*c*d**2)/(9*a*e**4 - 7*b*d*e**3 + 5*c*d**2*e**2) + x)/4 + (-30*a*d**4 + x**8*(945*a*e**4 - 735*b*d*e**3 + 525*c*d**2*e**2) + x**6*(630*a*d*e**3 - 490*b*d**2*e**2 + 350*c*d**3*e) + x**4*(-126*a*d**2*e**2 + 98*b*d**3*e - 70*c*d**4) + x**2*(54*a*d**3*e - 42*b*d**4))/(210*d**6*x**7 + 210*d**5*e*x**9)","B",0
288,1,235,0,3.582676," ","integrate(x**6*(c*x**4+b*x**2+a)/(e*x**2+d)**3,x)","\frac{c x^{5}}{5 e^{3}} + x^{3} \left(\frac{b}{3 e^{3}} - \frac{c d}{e^{4}}\right) + x \left(\frac{a}{e^{3}} - \frac{3 b d}{e^{4}} + \frac{6 c d^{2}}{e^{5}}\right) + \frac{\sqrt{- \frac{d}{e^{11}}} \left(15 a e^{2} - 35 b d e + 63 c d^{2}\right) \log{\left(- e^{5} \sqrt{- \frac{d}{e^{11}}} + x \right)}}{16} - \frac{\sqrt{- \frac{d}{e^{11}}} \left(15 a e^{2} - 35 b d e + 63 c d^{2}\right) \log{\left(e^{5} \sqrt{- \frac{d}{e^{11}}} + x \right)}}{16} + \frac{x^{3} \left(9 a d e^{3} - 13 b d^{2} e^{2} + 17 c d^{3} e\right) + x \left(7 a d^{2} e^{2} - 11 b d^{3} e + 15 c d^{4}\right)}{8 d^{2} e^{5} + 16 d e^{6} x^{2} + 8 e^{7} x^{4}}"," ",0,"c*x**5/(5*e**3) + x**3*(b/(3*e**3) - c*d/e**4) + x*(a/e**3 - 3*b*d/e**4 + 6*c*d**2/e**5) + sqrt(-d/e**11)*(15*a*e**2 - 35*b*d*e + 63*c*d**2)*log(-e**5*sqrt(-d/e**11) + x)/16 - sqrt(-d/e**11)*(15*a*e**2 - 35*b*d*e + 63*c*d**2)*log(e**5*sqrt(-d/e**11) + x)/16 + (x**3*(9*a*d*e**3 - 13*b*d**2*e**2 + 17*c*d**3*e) + x*(7*a*d**2*e**2 - 11*b*d**3*e + 15*c*d**4))/(8*d**2*e**5 + 16*d*e**6*x**2 + 8*e**7*x**4)","A",0
289,1,212,0,3.369557," ","integrate(x**4*(c*x**4+b*x**2+a)/(e*x**2+d)**3,x)","\frac{c x^{3}}{3 e^{3}} + x \left(\frac{b}{e^{3}} - \frac{3 c d}{e^{4}}\right) - \frac{\sqrt{- \frac{1}{d e^{9}}} \left(3 a e^{2} - 15 b d e + 35 c d^{2}\right) \log{\left(- d e^{4} \sqrt{- \frac{1}{d e^{9}}} + x \right)}}{16} + \frac{\sqrt{- \frac{1}{d e^{9}}} \left(3 a e^{2} - 15 b d e + 35 c d^{2}\right) \log{\left(d e^{4} \sqrt{- \frac{1}{d e^{9}}} + x \right)}}{16} + \frac{x^{3} \left(- 5 a e^{3} + 9 b d e^{2} - 13 c d^{2} e\right) + x \left(- 3 a d e^{2} + 7 b d^{2} e - 11 c d^{3}\right)}{8 d^{2} e^{4} + 16 d e^{5} x^{2} + 8 e^{6} x^{4}}"," ",0,"c*x**3/(3*e**3) + x*(b/e**3 - 3*c*d/e**4) - sqrt(-1/(d*e**9))*(3*a*e**2 - 15*b*d*e + 35*c*d**2)*log(-d*e**4*sqrt(-1/(d*e**9)) + x)/16 + sqrt(-1/(d*e**9))*(3*a*e**2 - 15*b*d*e + 35*c*d**2)*log(d*e**4*sqrt(-1/(d*e**9)) + x)/16 + (x**3*(-5*a*e**3 + 9*b*d*e**2 - 13*c*d**2*e) + x*(-3*a*d*e**2 + 7*b*d**2*e - 11*c*d**3))/(8*d**2*e**4 + 16*d*e**5*x**2 + 8*e**6*x**4)","A",0
290,1,201,0,2.621397," ","integrate(x**2*(c*x**4+b*x**2+a)/(e*x**2+d)**3,x)","\frac{c x}{e^{3}} - \frac{\sqrt{- \frac{1}{d^{3} e^{7}}} \left(a e^{2} + 3 b d e - 15 c d^{2}\right) \log{\left(- d^{2} e^{3} \sqrt{- \frac{1}{d^{3} e^{7}}} + x \right)}}{16} + \frac{\sqrt{- \frac{1}{d^{3} e^{7}}} \left(a e^{2} + 3 b d e - 15 c d^{2}\right) \log{\left(d^{2} e^{3} \sqrt{- \frac{1}{d^{3} e^{7}}} + x \right)}}{16} + \frac{x^{3} \left(a e^{3} - 5 b d e^{2} + 9 c d^{2} e\right) + x \left(- a d e^{2} - 3 b d^{2} e + 7 c d^{3}\right)}{8 d^{3} e^{3} + 16 d^{2} e^{4} x^{2} + 8 d e^{5} x^{4}}"," ",0,"c*x/e**3 - sqrt(-1/(d**3*e**7))*(a*e**2 + 3*b*d*e - 15*c*d**2)*log(-d**2*e**3*sqrt(-1/(d**3*e**7)) + x)/16 + sqrt(-1/(d**3*e**7))*(a*e**2 + 3*b*d*e - 15*c*d**2)*log(d**2*e**3*sqrt(-1/(d**3*e**7)) + x)/16 + (x**3*(a*e**3 - 5*b*d*e**2 + 9*c*d**2*e) + x*(-a*d*e**2 - 3*b*d**2*e + 7*c*d**3))/(8*d**3*e**3 + 16*d**2*e**4*x**2 + 8*d*e**5*x**4)","A",0
291,1,196,0,1.501254," ","integrate((c*x**4+b*x**2+a)/(e*x**2+d)**3,x)","- \frac{\sqrt{- \frac{1}{d^{5} e^{5}}} \left(3 a e^{2} + b d e + 3 c d^{2}\right) \log{\left(- d^{3} e^{2} \sqrt{- \frac{1}{d^{5} e^{5}}} + x \right)}}{16} + \frac{\sqrt{- \frac{1}{d^{5} e^{5}}} \left(3 a e^{2} + b d e + 3 c d^{2}\right) \log{\left(d^{3} e^{2} \sqrt{- \frac{1}{d^{5} e^{5}}} + x \right)}}{16} + \frac{x^{3} \left(3 a e^{3} + b d e^{2} - 5 c d^{2} e\right) + x \left(5 a d e^{2} - b d^{2} e - 3 c d^{3}\right)}{8 d^{4} e^{2} + 16 d^{3} e^{3} x^{2} + 8 d^{2} e^{4} x^{4}}"," ",0,"-sqrt(-1/(d**5*e**5))*(3*a*e**2 + b*d*e + 3*c*d**2)*log(-d**3*e**2*sqrt(-1/(d**5*e**5)) + x)/16 + sqrt(-1/(d**5*e**5))*(3*a*e**2 + b*d*e + 3*c*d**2)*log(d**3*e**2*sqrt(-1/(d**5*e**5)) + x)/16 + (x**3*(3*a*e**3 + b*d*e**2 - 5*c*d**2*e) + x*(5*a*d*e**2 - b*d**2*e - 3*c*d**3))/(8*d**4*e**2 + 16*d**3*e**3*x**2 + 8*d**2*e**4*x**4)","A",0
292,1,202,0,2.141815," ","integrate((c*x**4+b*x**2+a)/x**2/(e*x**2+d)**3,x)","\frac{\sqrt{- \frac{1}{d^{7} e^{3}}} \left(15 a e^{2} - 3 b d e - c d^{2}\right) \log{\left(- d^{4} e \sqrt{- \frac{1}{d^{7} e^{3}}} + x \right)}}{16} - \frac{\sqrt{- \frac{1}{d^{7} e^{3}}} \left(15 a e^{2} - 3 b d e - c d^{2}\right) \log{\left(d^{4} e \sqrt{- \frac{1}{d^{7} e^{3}}} + x \right)}}{16} + \frac{- 8 a d^{2} e + x^{4} \left(- 15 a e^{3} + 3 b d e^{2} + c d^{2} e\right) + x^{2} \left(- 25 a d e^{2} + 5 b d^{2} e - c d^{3}\right)}{8 d^{5} e x + 16 d^{4} e^{2} x^{3} + 8 d^{3} e^{3} x^{5}}"," ",0,"sqrt(-1/(d**7*e**3))*(15*a*e**2 - 3*b*d*e - c*d**2)*log(-d**4*e*sqrt(-1/(d**7*e**3)) + x)/16 - sqrt(-1/(d**7*e**3))*(15*a*e**2 - 3*b*d*e - c*d**2)*log(d**4*e*sqrt(-1/(d**7*e**3)) + x)/16 + (-8*a*d**2*e + x**4*(-15*a*e**3 + 3*b*d*e**2 + c*d**2*e) + x**2*(-25*a*d*e**2 + 5*b*d**2*e - c*d**3))/(8*d**5*e*x + 16*d**4*e**2*x**3 + 8*d**3*e**3*x**5)","A",0
293,1,214,0,2.924017," ","integrate((c*x**4+b*x**2+a)/x**4/(e*x**2+d)**3,x)","- \frac{\sqrt{- \frac{1}{d^{9} e}} \left(35 a e^{2} - 15 b d e + 3 c d^{2}\right) \log{\left(- d^{5} \sqrt{- \frac{1}{d^{9} e}} + x \right)}}{16} + \frac{\sqrt{- \frac{1}{d^{9} e}} \left(35 a e^{2} - 15 b d e + 3 c d^{2}\right) \log{\left(d^{5} \sqrt{- \frac{1}{d^{9} e}} + x \right)}}{16} + \frac{- 8 a d^{3} + x^{6} \left(105 a e^{3} - 45 b d e^{2} + 9 c d^{2} e\right) + x^{4} \left(175 a d e^{2} - 75 b d^{2} e + 15 c d^{3}\right) + x^{2} \left(56 a d^{2} e - 24 b d^{3}\right)}{24 d^{6} x^{3} + 48 d^{5} e x^{5} + 24 d^{4} e^{2} x^{7}}"," ",0,"-sqrt(-1/(d**9*e))*(35*a*e**2 - 15*b*d*e + 3*c*d**2)*log(-d**5*sqrt(-1/(d**9*e)) + x)/16 + sqrt(-1/(d**9*e))*(35*a*e**2 - 15*b*d*e + 3*c*d**2)*log(d**5*sqrt(-1/(d**9*e)) + x)/16 + (-8*a*d**3 + x**6*(105*a*e**3 - 45*b*d*e**2 + 9*c*d**2*e) + x**4*(175*a*d*e**2 - 75*b*d**2*e + 15*c*d**3) + x**2*(56*a*d**2*e - 24*b*d**3))/(24*d**6*x**3 + 48*d**5*e*x**5 + 24*d**4*e**2*x**7)","A",0
294,1,330,0,3.757049," ","integrate((c*x**4+b*x**2+a)/x**6/(e*x**2+d)**3,x)","\frac{\sqrt{- \frac{e}{d^{11}}} \left(63 a e^{2} - 35 b d e + 15 c d^{2}\right) \log{\left(- \frac{d^{6} \sqrt{- \frac{e}{d^{11}}} \left(63 a e^{2} - 35 b d e + 15 c d^{2}\right)}{63 a e^{3} - 35 b d e^{2} + 15 c d^{2} e} + x \right)}}{16} - \frac{\sqrt{- \frac{e}{d^{11}}} \left(63 a e^{2} - 35 b d e + 15 c d^{2}\right) \log{\left(\frac{d^{6} \sqrt{- \frac{e}{d^{11}}} \left(63 a e^{2} - 35 b d e + 15 c d^{2}\right)}{63 a e^{3} - 35 b d e^{2} + 15 c d^{2} e} + x \right)}}{16} + \frac{- 24 a d^{4} + x^{8} \left(- 945 a e^{4} + 525 b d e^{3} - 225 c d^{2} e^{2}\right) + x^{6} \left(- 1575 a d e^{3} + 875 b d^{2} e^{2} - 375 c d^{3} e\right) + x^{4} \left(- 504 a d^{2} e^{2} + 280 b d^{3} e - 120 c d^{4}\right) + x^{2} \left(72 a d^{3} e - 40 b d^{4}\right)}{120 d^{7} x^{5} + 240 d^{6} e x^{7} + 120 d^{5} e^{2} x^{9}}"," ",0,"sqrt(-e/d**11)*(63*a*e**2 - 35*b*d*e + 15*c*d**2)*log(-d**6*sqrt(-e/d**11)*(63*a*e**2 - 35*b*d*e + 15*c*d**2)/(63*a*e**3 - 35*b*d*e**2 + 15*c*d**2*e) + x)/16 - sqrt(-e/d**11)*(63*a*e**2 - 35*b*d*e + 15*c*d**2)*log(d**6*sqrt(-e/d**11)*(63*a*e**2 - 35*b*d*e + 15*c*d**2)/(63*a*e**3 - 35*b*d*e**2 + 15*c*d**2*e) + x)/16 + (-24*a*d**4 + x**8*(-945*a*e**4 + 525*b*d*e**3 - 225*c*d**2*e**2) + x**6*(-1575*a*d*e**3 + 875*b*d**2*e**2 - 375*c*d**3*e) + x**4*(-504*a*d**2*e**2 + 280*b*d**3*e - 120*c*d**4) + x**2*(72*a*d**3*e - 40*b*d**4))/(120*d**7*x**5 + 240*d**6*e*x**7 + 120*d**5*e**2*x**9)","B",0
295,-1,0,0,0.000000," ","integrate(x**9/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
296,-1,0,0,0.000000," ","integrate(x**7/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
297,-1,0,0,0.000000," ","integrate(x**5/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
298,-1,0,0,0.000000," ","integrate(x**3/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
299,-1,0,0,0.000000," ","integrate(x/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
300,-1,0,0,0.000000," ","integrate(1/x/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
301,-1,0,0,0.000000," ","integrate(1/x**3/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
302,-1,0,0,0.000000," ","integrate(1/x**5/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
303,-1,0,0,0.000000," ","integrate(x**8/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
304,-1,0,0,0.000000," ","integrate(x**6/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
305,-1,0,0,0.000000," ","integrate(x**4/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
306,-1,0,0,0.000000," ","integrate(x**2/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
307,-1,0,0,0.000000," ","integrate(1/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
308,-1,0,0,0.000000," ","integrate(1/x**2/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
309,-1,0,0,0.000000," ","integrate(1/x**4/(e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{1}{\sqrt{f x} \left(d + e x^{2}\right) \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(1/(sqrt(f*x)*(d + e*x**2)*(a + b*x**2 + c*x**4)), x)","F",0
311,0,0,0,0.000000," ","integrate(x**5*(c*x**4+b*x**2+a)**(1/2)/(e*x**2+d),x)","\int \frac{x^{5} \sqrt{a + b x^{2} + c x^{4}}}{d + e x^{2}}\, dx"," ",0,"Integral(x**5*sqrt(a + b*x**2 + c*x**4)/(d + e*x**2), x)","F",0
312,0,0,0,0.000000," ","integrate(x**3*(c*x**4+b*x**2+a)**(1/2)/(e*x**2+d),x)","\int \frac{x^{3} \sqrt{a + b x^{2} + c x^{4}}}{d + e x^{2}}\, dx"," ",0,"Integral(x**3*sqrt(a + b*x**2 + c*x**4)/(d + e*x**2), x)","F",0
313,0,0,0,0.000000," ","integrate(x*(c*x**4+b*x**2+a)**(1/2)/(e*x**2+d),x)","\int \frac{x \sqrt{a + b x^{2} + c x^{4}}}{d + e x^{2}}\, dx"," ",0,"Integral(x*sqrt(a + b*x**2 + c*x**4)/(d + e*x**2), x)","F",0
314,0,0,0,0.000000," ","integrate((c*x**4+b*x**2+a)**(1/2)/x/(e*x**2+d),x)","\int \frac{\sqrt{a + b x^{2} + c x^{4}}}{x \left(d + e x^{2}\right)}\, dx"," ",0,"Integral(sqrt(a + b*x**2 + c*x**4)/(x*(d + e*x**2)), 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)","\int \frac{\sqrt{a + b x^{2} + c x^{4}}}{x^{3} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral(sqrt(a + b*x**2 + c*x**4)/(x**3*(d + e*x**2)), 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)","\int \frac{x^{4} \sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{2} + 3}\, dx"," ",0,"Integral(x**4*sqrt(2*x**4 + 2*x**2 + 1)/(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)","\int \frac{x^{2} \sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{2} + 3}\, dx"," ",0,"Integral(x**2*sqrt(2*x**4 + 2*x**2 + 1)/(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)","\int \frac{\sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{2} + 3}\, dx"," ",0,"Integral(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)","\int \frac{\sqrt{2 x^{4} + 2 x^{2} + 1}}{x^{2} \left(2 x^{2} + 3\right)}\, dx"," ",0,"Integral(sqrt(2*x**4 + 2*x**2 + 1)/(x**2*(2*x**2 + 3)), 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)","\int \frac{\sqrt{2 x^{4} + 2 x^{2} + 1}}{x^{4} \left(2 x^{2} + 3\right)}\, dx"," ",0,"Integral(sqrt(2*x**4 + 2*x**2 + 1)/(x**4*(2*x**2 + 3)), 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)","\int \frac{\sqrt{2 x^{4} + 2 x^{2} + 1}}{x^{6} \left(2 x^{2} + 3\right)}\, dx"," ",0,"Integral(sqrt(2*x**4 + 2*x**2 + 1)/(x**6*(2*x**2 + 3)), x)","F",0
322,0,0,0,0.000000," ","integrate(x**5*(c*x**4+b*x**2+a)**(3/2)/(e*x**2+d),x)","\int \frac{x^{5} \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}{d + e x^{2}}\, dx"," ",0,"Integral(x**5*(a + b*x**2 + c*x**4)**(3/2)/(d + e*x**2), x)","F",0
323,0,0,0,0.000000," ","integrate(x**3*(c*x**4+b*x**2+a)**(3/2)/(e*x**2+d),x)","\int \frac{x^{3} \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}{d + e x^{2}}\, dx"," ",0,"Integral(x**3*(a + b*x**2 + c*x**4)**(3/2)/(d + e*x**2), x)","F",0
324,0,0,0,0.000000," ","integrate(x*(c*x**4+b*x**2+a)**(3/2)/(e*x**2+d),x)","\int \frac{x \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}{d + e x^{2}}\, dx"," ",0,"Integral(x*(a + b*x**2 + c*x**4)**(3/2)/(d + e*x**2), x)","F",0
325,0,0,0,0.000000," ","integrate((c*x**4+b*x**2+a)**(3/2)/x/(e*x**2+d),x)","\int \frac{\left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}{x \left(d + e x^{2}\right)}\, dx"," ",0,"Integral((a + b*x**2 + c*x**4)**(3/2)/(x*(d + e*x**2)), 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)","\int \frac{\left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}{x^{3} \left(d + e x^{2}\right)}\, dx"," ",0,"Integral((a + b*x**2 + c*x**4)**(3/2)/(x**3*(d + e*x**2)), 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)","- \int \frac{x^{2} \sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{2} - 3}\, dx - \int \frac{2 x^{4} \sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{2} - 3}\, dx - \int \frac{2 x^{6} \sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{2} - 3}\, dx"," ",0,"-Integral(x**2*sqrt(2*x**4 + 2*x**2 + 1)/(2*x**2 - 3), x) - Integral(2*x**4*sqrt(2*x**4 + 2*x**2 + 1)/(2*x**2 - 3), x) - Integral(2*x**6*sqrt(2*x**4 + 2*x**2 + 1)/(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)","- \int \frac{\sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{2} - 3}\, dx - \int \frac{2 x^{2} \sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{2} - 3}\, dx - \int \frac{2 x^{4} \sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{2} - 3}\, dx"," ",0,"-Integral(sqrt(2*x**4 + 2*x**2 + 1)/(2*x**2 - 3), x) - Integral(2*x**2*sqrt(2*x**4 + 2*x**2 + 1)/(2*x**2 - 3), x) - Integral(2*x**4*sqrt(2*x**4 + 2*x**2 + 1)/(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)","- \int \frac{\sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{4} - 3 x^{2}}\, dx - \int \frac{2 x^{2} \sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{4} - 3 x^{2}}\, dx - \int \frac{2 x^{4} \sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{4} - 3 x^{2}}\, dx"," ",0,"-Integral(sqrt(2*x**4 + 2*x**2 + 1)/(2*x**4 - 3*x**2), x) - Integral(2*x**2*sqrt(2*x**4 + 2*x**2 + 1)/(2*x**4 - 3*x**2), x) - Integral(2*x**4*sqrt(2*x**4 + 2*x**2 + 1)/(2*x**4 - 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)","- \int \frac{\sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{6} - 3 x^{4}}\, dx - \int \frac{2 x^{2} \sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{6} - 3 x^{4}}\, dx - \int \frac{2 x^{4} \sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{6} - 3 x^{4}}\, dx"," ",0,"-Integral(sqrt(2*x**4 + 2*x**2 + 1)/(2*x**6 - 3*x**4), x) - Integral(2*x**2*sqrt(2*x**4 + 2*x**2 + 1)/(2*x**6 - 3*x**4), x) - Integral(2*x**4*sqrt(2*x**4 + 2*x**2 + 1)/(2*x**6 - 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)","- \int \frac{\sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{8} - 3 x^{6}}\, dx - \int \frac{2 x^{2} \sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{8} - 3 x^{6}}\, dx - \int \frac{2 x^{4} \sqrt{2 x^{4} + 2 x^{2} + 1}}{2 x^{8} - 3 x^{6}}\, dx"," ",0,"-Integral(sqrt(2*x**4 + 2*x**2 + 1)/(2*x**8 - 3*x**6), x) - Integral(2*x**2*sqrt(2*x**4 + 2*x**2 + 1)/(2*x**8 - 3*x**6), x) - Integral(2*x**4*sqrt(2*x**4 + 2*x**2 + 1)/(2*x**8 - 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)","\int \frac{x^{5}}{\left(d + e x^{2}\right) \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral(x**5/((d + e*x**2)*sqrt(a + b*x**2 + c*x**4)), 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)","\int \frac{x^{3}}{\left(d + e x^{2}\right) \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral(x**3/((d + e*x**2)*sqrt(a + b*x**2 + c*x**4)), 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)","\int \frac{x}{\left(d + e x^{2}\right) \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral(x/((d + e*x**2)*sqrt(a + b*x**2 + c*x**4)), 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)","\int \frac{1}{x \left(d + e x^{2}\right) \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral(1/(x*(d + e*x**2)*sqrt(a + b*x**2 + c*x**4)), 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)","\int \frac{1}{x^{3} \left(d + e x^{2}\right) \sqrt{a + b x^{2} + c x^{4}}}\, dx"," ",0,"Integral(1/(x**3*(d + e*x**2)*sqrt(a + b*x**2 + c*x**4)), 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)","\int \frac{x^{4}}{\left(2 x^{2} + 3\right) \sqrt{2 x^{4} + 2 x^{2} + 1}}\, dx"," ",0,"Integral(x**4/((2*x**2 + 3)*sqrt(2*x**4 + 2*x**2 + 1)), 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)","\int \frac{x^{2}}{\left(2 x^{2} + 3\right) \sqrt{2 x^{4} + 2 x^{2} + 1}}\, dx"," ",0,"Integral(x**2/((2*x**2 + 3)*sqrt(2*x**4 + 2*x**2 + 1)), 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)","\int \frac{1}{\left(2 x^{2} + 3\right) \sqrt{2 x^{4} + 2 x^{2} + 1}}\, dx"," ",0,"Integral(1/((2*x**2 + 3)*sqrt(2*x**4 + 2*x**2 + 1)), 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)","\int \frac{1}{x^{2} \left(2 x^{2} + 3\right) \sqrt{2 x^{4} + 2 x^{2} + 1}}\, dx"," ",0,"Integral(1/(x**2*(2*x**2 + 3)*sqrt(2*x**4 + 2*x**2 + 1)), 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)","\int \frac{1}{x^{4} \left(2 x^{2} + 3\right) \sqrt{2 x^{4} + 2 x^{2} + 1}}\, dx"," ",0,"Integral(1/(x**4*(2*x**2 + 3)*sqrt(2*x**4 + 2*x**2 + 1)), 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)","\int \frac{x^{7}}{\left(d + e x^{2}\right) \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**7/((d + e*x**2)*(a + b*x**2 + c*x**4)**(3/2)), 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)","\int \frac{x^{5}}{\left(d + e x^{2}\right) \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**5/((d + e*x**2)*(a + b*x**2 + c*x**4)**(3/2)), 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)","\int \frac{x^{3}}{\left(d + e x^{2}\right) \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**3/((d + e*x**2)*(a + b*x**2 + c*x**4)**(3/2)), 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)","\int \frac{x}{\left(d + e x^{2}\right) \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/((d + e*x**2)*(a + b*x**2 + c*x**4)**(3/2)), 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)","\int \frac{1}{x \left(d + e x^{2}\right) \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x*(d + e*x**2)*(a + b*x**2 + c*x**4)**(3/2)), 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)","\int \frac{1}{x^{3} \left(d + e x^{2}\right) \left(a + b x^{2} + c x^{4}\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**3*(d + e*x**2)*(a + b*x**2 + c*x**4)**(3/2)), 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)","\int \frac{x^{8}}{\left(2 x^{2} + 3\right) \left(2 x^{4} + 2 x^{2} + 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**8/((2*x**2 + 3)*(2*x**4 + 2*x**2 + 1)**(3/2)), 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)","\int \frac{x^{6}}{\left(2 x^{2} + 3\right) \left(2 x^{4} + 2 x^{2} + 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**6/((2*x**2 + 3)*(2*x**4 + 2*x**2 + 1)**(3/2)), 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)","\int \frac{x^{4}}{\left(2 x^{2} + 3\right) \left(2 x^{4} + 2 x^{2} + 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**4/((2*x**2 + 3)*(2*x**4 + 2*x**2 + 1)**(3/2)), 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)","\int \frac{x^{2}}{\left(2 x^{2} + 3\right) \left(2 x^{4} + 2 x^{2} + 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x**2/((2*x**2 + 3)*(2*x**4 + 2*x**2 + 1)**(3/2)), 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)","\int \frac{1}{\left(2 x^{2} + 3\right) \left(2 x^{4} + 2 x^{2} + 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/((2*x**2 + 3)*(2*x**4 + 2*x**2 + 1)**(3/2)), 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)","\int \frac{1}{x^{2} \left(2 x^{2} + 3\right) \left(2 x^{4} + 2 x^{2} + 1\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(x**2*(2*x**2 + 3)*(2*x**4 + 2*x**2 + 1)**(3/2)), x)","F",0
354,-1,0,0,0.000000," ","integrate(x**7*(e*x**2+d)**(1/2)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
355,-1,0,0,0.000000," ","integrate(x**5*(e*x**2+d)**(1/2)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
356,0,0,0,0.000000," ","integrate(x**3*(e*x**2+d)**(1/2)/(c*x**4+b*x**2+a),x)","\int \frac{x^{3} \sqrt{d + e x^{2}}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(x**3*sqrt(d + e*x**2)/(a + b*x**2 + c*x**4), 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)","\int \frac{x \sqrt{d + e x^{2}}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(x*sqrt(d + e*x**2)/(a + b*x**2 + c*x**4), 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)","\int \frac{\sqrt{d + e x^{2}}}{x \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(sqrt(d + e*x**2)/(x*(a + b*x**2 + c*x**4)), 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)","\int \frac{\sqrt{d + e x^{2}}}{x^{3} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(sqrt(d + e*x**2)/(x**3*(a + b*x**2 + c*x**4)), x)","F",0
360,-1,0,0,0.000000," ","integrate((e*x**2+d)**(1/2)/x**5/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
361,0,0,0,0.000000," ","integrate(x**4*(e*x**2+d)**(1/2)/(c*x**4+b*x**2+a),x)","\int \frac{x^{4} \sqrt{d + e x^{2}}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(x**4*sqrt(d + e*x**2)/(a + b*x**2 + c*x**4), 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)","\int \frac{x^{2} \sqrt{d + e x^{2}}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(x**2*sqrt(d + e*x**2)/(a + b*x**2 + c*x**4), x)","F",0
363,0,0,0,0.000000," ","integrate((e*x**2+d)**(1/2)/(c*x**4+b*x**2+a),x)","\int \frac{\sqrt{d + e x^{2}}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(sqrt(d + e*x**2)/(a + b*x**2 + c*x**4), 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)","\int \frac{\sqrt{d + e x^{2}}}{x^{2} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(sqrt(d + e*x**2)/(x**2*(a + b*x**2 + c*x**4)), 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)","\int \frac{\sqrt{d + e x^{2}}}{x^{4} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(sqrt(d + e*x**2)/(x**4*(a + b*x**2 + c*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)","\int \frac{\sqrt{d + e x^{2}}}{x^{6} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(sqrt(d + e*x**2)/(x**6*(a + b*x**2 + c*x**4)), x)","F",0
367,-1,0,0,0.000000," ","integrate(x**3*(e*x**2+d)**(3/2)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
368,-1,0,0,0.000000," ","integrate(x*(e*x**2+d)**(3/2)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
369,-1,0,0,0.000000," ","integrate((e*x**2+d)**(3/2)/x/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
370,-1,0,0,0.000000," ","integrate((e*x**2+d)**(3/2)/x**3/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
371,0,0,0,0.000000," ","integrate(x**4*(e*x**2+d)**(3/2)/(c*x**4+b*x**2+a),x)","\int \frac{x^{4} \left(d + e x^{2}\right)^{\frac{3}{2}}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(x**4*(d + e*x**2)**(3/2)/(a + b*x**2 + c*x**4), 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)","\int \frac{x^{2} \left(d + e x^{2}\right)^{\frac{3}{2}}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(x**2*(d + e*x**2)**(3/2)/(a + b*x**2 + c*x**4), x)","F",0
373,0,0,0,0.000000," ","integrate((e*x**2+d)**(3/2)/(c*x**4+b*x**2+a),x)","\int \frac{\left(d + e x^{2}\right)^{\frac{3}{2}}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral((d + e*x**2)**(3/2)/(a + b*x**2 + c*x**4), 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)","\int \frac{\left(d + e x^{2}\right)^{\frac{3}{2}}}{x^{2} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral((d + e*x**2)**(3/2)/(x**2*(a + b*x**2 + c*x**4)), x)","F",0
375,-1,0,0,0.000000," ","integrate((e*x**2+d)**(3/2)/x**4/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
376,0,0,0,0.000000," ","integrate(x**5*(-x**2+1)**(1/2)/(c*x**4+b*x**2+a),x)","\int \frac{x^{5} \sqrt{- \left(x - 1\right) \left(x + 1\right)}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(x**5*sqrt(-(x - 1)*(x + 1))/(a + b*x**2 + c*x**4), 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)","\int \frac{x^{3} \sqrt{- \left(x - 1\right) \left(x + 1\right)}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(x**3*sqrt(-(x - 1)*(x + 1))/(a + b*x**2 + c*x**4), x)","F",0
378,0,0,0,0.000000," ","integrate(x*(-x**2+1)**(1/2)/(c*x**4+b*x**2+a),x)","\int \frac{x \sqrt{- \left(x - 1\right) \left(x + 1\right)}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(x*sqrt(-(x - 1)*(x + 1))/(a + b*x**2 + c*x**4), x)","F",0
379,0,0,0,0.000000," ","integrate((-x**2+1)**(1/2)/x/(c*x**4+b*x**2+a),x)","\int \frac{\sqrt{- \left(x - 1\right) \left(x + 1\right)}}{x \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(sqrt(-(x - 1)*(x + 1))/(x*(a + b*x**2 + c*x**4)), x)","F",0
380,-1,0,0,0.000000," ","integrate((-x**2+1)**(1/2)/x**3/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
381,0,0,0,0.000000," ","integrate(x**4*(-x**2+1)**(1/2)/(c*x**4+b*x**2+a),x)","\int \frac{x^{4} \sqrt{- \left(x - 1\right) \left(x + 1\right)}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(x**4*sqrt(-(x - 1)*(x + 1))/(a + b*x**2 + c*x**4), 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)","\int \frac{x^{2} \sqrt{- \left(x - 1\right) \left(x + 1\right)}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(x**2*sqrt(-(x - 1)*(x + 1))/(a + b*x**2 + c*x**4), x)","F",0
383,0,0,0,0.000000," ","integrate((-x**2+1)**(1/2)/(c*x**4+b*x**2+a),x)","\int \frac{\sqrt{- \left(x - 1\right) \left(x + 1\right)}}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral(sqrt(-(x - 1)*(x + 1))/(a + b*x**2 + c*x**4), 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)","\int \frac{\sqrt{- \left(x - 1\right) \left(x + 1\right)}}{x^{2} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(sqrt(-(x - 1)*(x + 1))/(x**2*(a + b*x**2 + c*x**4)), x)","F",0
385,0,0,0,0.000000," ","integrate(x**2*(-x**2+1)**(1/2)/(x**4+x**2-1),x)","\int \frac{x^{2} \sqrt{- \left(x - 1\right) \left(x + 1\right)}}{x^{4} + x^{2} - 1}\, dx"," ",0,"Integral(x**2*sqrt(-(x - 1)*(x + 1))/(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)","\int \frac{x^{8}}{\sqrt{d + e x^{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(x**8/(sqrt(d + e*x**2)*(a + b*x**2 + c*x**4)), 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)","\int \frac{x^{6}}{\sqrt{d + e x^{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(x**6/(sqrt(d + e*x**2)*(a + b*x**2 + c*x**4)), 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)","\int \frac{x^{4}}{\sqrt{d + e x^{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(x**4/(sqrt(d + e*x**2)*(a + b*x**2 + c*x**4)), 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)","\int \frac{x^{2}}{\sqrt{d + e x^{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(x**2/(sqrt(d + e*x**2)*(a + b*x**2 + c*x**4)), 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)","\int \frac{1}{\sqrt{d + e x^{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(1/(sqrt(d + e*x**2)*(a + b*x**2 + c*x**4)), 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)","\int \frac{1}{x^{2} \sqrt{d + e x^{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(1/(x**2*sqrt(d + e*x**2)*(a + b*x**2 + c*x**4)), 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)","\int \frac{1}{x^{4} \sqrt{d + e x^{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(1/(x**4*sqrt(d + e*x**2)*(a + b*x**2 + c*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)","\int \frac{1}{x^{6} \sqrt{d + e x^{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(1/(x**6*sqrt(d + e*x**2)*(a + b*x**2 + c*x**4)), 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)","\int \frac{x^{6}}{\left(d + e x^{2}\right)^{\frac{3}{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(x**6/((d + e*x**2)**(3/2)*(a + b*x**2 + c*x**4)), 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)","\int \frac{x^{4}}{\left(d + e x^{2}\right)^{\frac{3}{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(x**4/((d + e*x**2)**(3/2)*(a + b*x**2 + c*x**4)), 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)","\int \frac{x^{2}}{\left(d + e x^{2}\right)^{\frac{3}{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(x**2/((d + e*x**2)**(3/2)*(a + b*x**2 + c*x**4)), 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)","\int \frac{1}{\left(d + e x^{2}\right)^{\frac{3}{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(1/((d + e*x**2)**(3/2)*(a + b*x**2 + c*x**4)), 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)","\int \frac{1}{x^{2} \left(d + e x^{2}\right)^{\frac{3}{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(1/(x**2*(d + e*x**2)**(3/2)*(a + b*x**2 + c*x**4)), 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)","\int \frac{1}{x^{4} \left(d + e x^{2}\right)^{\frac{3}{2}} \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral(1/(x**4*(d + e*x**2)**(3/2)*(a + b*x**2 + c*x**4)), x)","F",0
400,-1,0,0,0.000000," ","integrate((f*x)**m*(e*x**2+d)**q/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
401,-1,0,0,0.000000," ","integrate(x**7*(e*x**2+d)**q/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
402,-1,0,0,0.000000," ","integrate(x**5*(e*x**2+d)**q/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
403,-1,0,0,0.000000," ","integrate(x**3*(e*x**2+d)**q/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
404,-1,0,0,0.000000," ","integrate(x*(e*x**2+d)**q/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
405,0,0,0,0.000000," ","integrate((e*x**2+d)**q/x/(c*x**4+b*x**2+a),x)","\int \frac{\left(d + e x^{2}\right)^{q}}{x \left(a + b x^{2} + c x^{4}\right)}\, dx"," ",0,"Integral((d + e*x**2)**q/(x*(a + b*x**2 + c*x**4)), x)","F",0
406,-1,0,0,0.000000," ","integrate((e*x**2+d)**q/x**3/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
407,-1,0,0,0.000000," ","integrate(x**6*(e*x**2+d)**q/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
408,-1,0,0,0.000000," ","integrate(x**4*(e*x**2+d)**q/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
409,-1,0,0,0.000000," ","integrate(x**2*(e*x**2+d)**q/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
410,-1,0,0,0.000000," ","integrate((e*x**2+d)**q/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
411,-1,0,0,0.000000," ","integrate((e*x**2+d)**q/x**2/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
412,-1,0,0,0.000000," ","integrate((e*x**2+d)**q/x**4/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
413,0,0,0,0.000000," ","integrate((1+1/c**2/x**2)**(1/2)/(-c**4*x**4+1)**(1/2),x)","\int \frac{\sqrt{1 + \frac{1}{c^{2} x^{2}}}}{\sqrt{- \left(c x - 1\right) \left(c x + 1\right) \left(c^{2} x^{2} + 1\right)}}\, dx"," ",0,"Integral(sqrt(1 + 1/(c**2*x**2))/sqrt(-(c*x - 1)*(c*x + 1)*(c**2*x**2 + 1)), x)","F",0
