1,1,13,0,0.952678," ","integrate(1/(-a*x+1)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{-a x + 1}}{a}"," ",0,"-2*sqrt(-a*x + 1)/a","A",0
2,1,1,0,0.972182," ","integrate(1/2*(log(a*x-1)-2*log(-(a*x-1)^(1/2)))/pi/(a*x-1)^(1/2),x, algorithm=""fricas"")","0"," ",0,"0","A",0
3,1,100,0,0.991719," ","integrate(1/(2*x+(x^2+1)^(1/2))^2,x, algorithm=""fricas"")","\frac{\sqrt{3} {\left(3 \, x^{2} - 1\right)} \log\left(\frac{3 \, x^{2} - 2 \, \sqrt{3} x + 1}{3 \, x^{2} - 1}\right) + \sqrt{3} {\left(3 \, x^{2} - 1\right)} \log\left(\frac{3 \, x^{2} + 4 \, \sqrt{3} \sqrt{x^{2} + 1} + 7}{3 \, x^{2} - 1}\right) - 24 \, x + 12 \, \sqrt{x^{2} + 1}}{18 \, {\left(3 \, x^{2} - 1\right)}}"," ",0,"1/18*(sqrt(3)*(3*x^2 - 1)*log((3*x^2 - 2*sqrt(3)*x + 1)/(3*x^2 - 1)) + sqrt(3)*(3*x^2 - 1)*log((3*x^2 + 4*sqrt(3)*sqrt(x^2 + 1) + 7)/(3*x^2 - 1)) - 24*x + 12*sqrt(x^2 + 1))/(3*x^2 - 1)","A",0
4,1,80,0,0.808336," ","integrate(1/(3*x^2-4)^2/(x^2-1)^(1/2),x, algorithm=""fricas"")","-\frac{12 \, x^{2} + 5 \, {\left(3 \, x^{2} - 4\right)} \log\left(3 \, x^{2} - 3 \, \sqrt{x^{2} - 1} x - 2\right) - 5 \, {\left(3 \, x^{2} - 4\right)} \log\left(x^{2} - \sqrt{x^{2} - 1} x - 2\right) + 12 \, \sqrt{x^{2} - 1} x - 16}{32 \, {\left(3 \, x^{2} - 4\right)}}"," ",0,"-1/32*(12*x^2 + 5*(3*x^2 - 4)*log(3*x^2 - 3*sqrt(x^2 - 1)*x - 2) - 5*(3*x^2 - 4)*log(x^2 - sqrt(x^2 - 1)*x - 2) + 12*sqrt(x^2 - 1)*x - 16)/(3*x^2 - 4)","B",0
5,1,105,0,1.270483," ","integrate(1/(2*x^(1/2)+(1+x)^(1/2))^2,x, algorithm=""fricas"")","-\frac{5 \, {\left(3 \, x - 1\right)} \log\left(3 \, \sqrt{x + 1} \sqrt{x} - 3 \, x - 1\right) - 4 \, {\left(3 \, x - 1\right)} \log\left(2 \, \sqrt{x + 1} \sqrt{x} - 2 \, x - 1\right) - 5 \, {\left(3 \, x - 1\right)} \log\left(\sqrt{x + 1} \sqrt{x} - x + 1\right) - 5 \, {\left(3 \, x - 1\right)} \log\left(3 \, x - 1\right) - 12 \, \sqrt{x + 1} \sqrt{x} - 12 \, x + 12}{9 \, {\left(3 \, x - 1\right)}}"," ",0,"-1/9*(5*(3*x - 1)*log(3*sqrt(x + 1)*sqrt(x) - 3*x - 1) - 4*(3*x - 1)*log(2*sqrt(x + 1)*sqrt(x) - 2*x - 1) - 5*(3*x - 1)*log(sqrt(x + 1)*sqrt(x) - x + 1) - 5*(3*x - 1)*log(3*x - 1) - 12*sqrt(x + 1)*sqrt(x) - 12*x + 12)/(3*x - 1)","A",0
6,1,92,0,1.265855," ","integrate((x^2-1)^(1/2)/(-I+x)^2,x, algorithm=""fricas"")","-\frac{\sqrt{2} {\left(x - i\right)} \log\left(-x + i \, \sqrt{2} + \sqrt{x^{2} - 1} + i\right) - \sqrt{2} {\left(x - i\right)} \log\left(-x - i \, \sqrt{2} + \sqrt{x^{2} - 1} + i\right) + {\left(2 \, x - 2 i\right)} \log\left(-x + \sqrt{x^{2} - 1}\right) + 2 \, x + 2 \, \sqrt{x^{2} - 1} - 2 i}{2 \, x - 2 i}"," ",0,"-(sqrt(2)*(x - I)*log(-x + I*sqrt(2) + sqrt(x^2 - 1) + I) - sqrt(2)*(x - I)*log(-x - I*sqrt(2) + sqrt(x^2 - 1) + I) + (2*x - 2*I)*log(-x + sqrt(x^2 - 1)) + 2*x + 2*sqrt(x^2 - 1) - 2*I)/(2*x - 2*I)","A",0
7,1,83,0,0.998694," ","integrate(1/(x^2+1)^2/(x^2-1)^(1/2),x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} {\left(x^{2} + 1\right)} \log\left(\frac{9 \, x^{2} + 2 \, \sqrt{2} {\left(3 \, x^{2} - 1\right)} + 2 \, \sqrt{x^{2} - 1} {\left(3 \, \sqrt{2} x + 4 \, x\right)} - 3}{x^{2} + 1}\right) - 4 \, x^{2} - 4 \, \sqrt{x^{2} - 1} x - 4}{16 \, {\left(x^{2} + 1\right)}}"," ",0,"1/16*(3*sqrt(2)*(x^2 + 1)*log((9*x^2 + 2*sqrt(2)*(3*x^2 - 1) + 2*sqrt(x^2 - 1)*(3*sqrt(2)*x + 4*x) - 3)/(x^2 + 1)) - 4*x^2 - 4*sqrt(x^2 - 1)*x - 4)/(x^2 + 1)","B",0
8,1,18,0,0.933284," ","integrate(1/(-1+x)^(1/2)/((-1+x)^(1/2)+x^(1/2))^2,x, algorithm=""fricas"")","\frac{2}{3} \, {\left(2 \, x + 1\right)} \sqrt{x - 1} - \frac{4}{3} \, x^{\frac{3}{2}}"," ",0,"2/3*(2*x + 1)*sqrt(x - 1) - 4/3*x^(3/2)","A",0
9,1,424,0,1.193224," ","integrate(1/(x^2-1)^(1/2)/(x^(1/2)+(x^2-1)^(1/2))^2,x, algorithm=""fricas"")","\frac{4 \, \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} - 22} \arctan\left(\frac{1}{2} \, \sqrt{2 \, x^{2} - \sqrt{x^{2} - 1} {\left(2 \, x + \sqrt{5} - 1\right)} + \sqrt{5} x - x} \sqrt{10 \, \sqrt{5} - 22} {\left(\sqrt{5} + 2\right)} + \frac{1}{4} \, {\left(\sqrt{5} {\left(2 \, x + 1\right)} - 2 \, \sqrt{x^{2} - 1} {\left(\sqrt{5} + 2\right)} + 4 \, x + 3\right)} \sqrt{10 \, \sqrt{5} - 22}\right) - 4 \, \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} - 22} \arctan\left(\frac{1}{4} \, {\left(\sqrt{2} \sqrt{2 \, x + \sqrt{5} - 1} {\left(\sqrt{5} + 2\right)} - 2 \, \sqrt{x} {\left(\sqrt{5} + 2\right)}\right)} \sqrt{10 \, \sqrt{5} - 22}\right) - \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} + 22} \log\left(\sqrt{10 \, \sqrt{5} + 22} {\left(\sqrt{5} - 3\right)} - 4 \, x + 2 \, \sqrt{5} + 4 \, \sqrt{x^{2} - 1} + 2\right) + \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} + 22} \log\left(\sqrt{10 \, \sqrt{5} + 22} {\left(\sqrt{5} - 3\right)} + 4 \, \sqrt{x}\right) + \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} + 22} \log\left(-\sqrt{10 \, \sqrt{5} + 22} {\left(\sqrt{5} - 3\right)} - 4 \, x + 2 \, \sqrt{5} + 4 \, \sqrt{x^{2} - 1} + 2\right) - \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} + 22} \log\left(-\sqrt{10 \, \sqrt{5} + 22} {\left(\sqrt{5} - 3\right)} + 4 \, \sqrt{x}\right) - 40 \, x^{2} - 20 \, \sqrt{x^{2} - 1} {\left(2 \, x - 1\right)} + 20 \, {\left(2 \, x - 1\right)} \sqrt{x} + 40 \, x + 40}{50 \, {\left(x^{2} - x - 1\right)}}"," ",0,"1/50*(4*sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) - 22)*arctan(1/2*sqrt(2*x^2 - sqrt(x^2 - 1)*(2*x + sqrt(5) - 1) + sqrt(5)*x - x)*sqrt(10*sqrt(5) - 22)*(sqrt(5) + 2) + 1/4*(sqrt(5)*(2*x + 1) - 2*sqrt(x^2 - 1)*(sqrt(5) + 2) + 4*x + 3)*sqrt(10*sqrt(5) - 22)) - 4*sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) - 22)*arctan(1/4*(sqrt(2)*sqrt(2*x + sqrt(5) - 1)*(sqrt(5) + 2) - 2*sqrt(x)*(sqrt(5) + 2))*sqrt(10*sqrt(5) - 22)) - sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) + 22)*log(sqrt(10*sqrt(5) + 22)*(sqrt(5) - 3) - 4*x + 2*sqrt(5) + 4*sqrt(x^2 - 1) + 2) + sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) + 22)*log(sqrt(10*sqrt(5) + 22)*(sqrt(5) - 3) + 4*sqrt(x)) + sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) + 22)*log(-sqrt(10*sqrt(5) + 22)*(sqrt(5) - 3) - 4*x + 2*sqrt(5) + 4*sqrt(x^2 - 1) + 2) - sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) + 22)*log(-sqrt(10*sqrt(5) + 22)*(sqrt(5) - 3) + 4*sqrt(x)) - 40*x^2 - 20*sqrt(x^2 - 1)*(2*x - 1) + 20*(2*x - 1)*sqrt(x) + 40*x + 40)/(x^2 - x - 1)","B",0
10,1,424,0,1.175477," ","integrate((x^(1/2)-(x^2-1)^(1/2))^2/(-x^2+x+1)^2/(x^2-1)^(1/2),x, algorithm=""fricas"")","\frac{4 \, \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} - 22} \arctan\left(\frac{1}{2} \, \sqrt{2 \, x^{2} - \sqrt{x^{2} - 1} {\left(2 \, x + \sqrt{5} - 1\right)} + \sqrt{5} x - x} \sqrt{10 \, \sqrt{5} - 22} {\left(\sqrt{5} + 2\right)} + \frac{1}{4} \, {\left(\sqrt{5} {\left(2 \, x + 1\right)} - 2 \, \sqrt{x^{2} - 1} {\left(\sqrt{5} + 2\right)} + 4 \, x + 3\right)} \sqrt{10 \, \sqrt{5} - 22}\right) - 4 \, \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} - 22} \arctan\left(\frac{1}{4} \, {\left(\sqrt{2} \sqrt{2 \, x + \sqrt{5} - 1} {\left(\sqrt{5} + 2\right)} - 2 \, \sqrt{x} {\left(\sqrt{5} + 2\right)}\right)} \sqrt{10 \, \sqrt{5} - 22}\right) - \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} + 22} \log\left(\sqrt{10 \, \sqrt{5} + 22} {\left(\sqrt{5} - 3\right)} - 4 \, x + 2 \, \sqrt{5} + 4 \, \sqrt{x^{2} - 1} + 2\right) + \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} + 22} \log\left(\sqrt{10 \, \sqrt{5} + 22} {\left(\sqrt{5} - 3\right)} + 4 \, \sqrt{x}\right) + \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} + 22} \log\left(-\sqrt{10 \, \sqrt{5} + 22} {\left(\sqrt{5} - 3\right)} - 4 \, x + 2 \, \sqrt{5} + 4 \, \sqrt{x^{2} - 1} + 2\right) - \sqrt{5} {\left(x^{2} - x - 1\right)} \sqrt{10 \, \sqrt{5} + 22} \log\left(-\sqrt{10 \, \sqrt{5} + 22} {\left(\sqrt{5} - 3\right)} + 4 \, \sqrt{x}\right) - 40 \, x^{2} - 20 \, \sqrt{x^{2} - 1} {\left(2 \, x - 1\right)} + 20 \, {\left(2 \, x - 1\right)} \sqrt{x} + 40 \, x + 40}{50 \, {\left(x^{2} - x - 1\right)}}"," ",0,"1/50*(4*sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) - 22)*arctan(1/2*sqrt(2*x^2 - sqrt(x^2 - 1)*(2*x + sqrt(5) - 1) + sqrt(5)*x - x)*sqrt(10*sqrt(5) - 22)*(sqrt(5) + 2) + 1/4*(sqrt(5)*(2*x + 1) - 2*sqrt(x^2 - 1)*(sqrt(5) + 2) + 4*x + 3)*sqrt(10*sqrt(5) - 22)) - 4*sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) - 22)*arctan(1/4*(sqrt(2)*sqrt(2*x + sqrt(5) - 1)*(sqrt(5) + 2) - 2*sqrt(x)*(sqrt(5) + 2))*sqrt(10*sqrt(5) - 22)) - sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) + 22)*log(sqrt(10*sqrt(5) + 22)*(sqrt(5) - 3) - 4*x + 2*sqrt(5) + 4*sqrt(x^2 - 1) + 2) + sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) + 22)*log(sqrt(10*sqrt(5) + 22)*(sqrt(5) - 3) + 4*sqrt(x)) + sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) + 22)*log(-sqrt(10*sqrt(5) + 22)*(sqrt(5) - 3) - 4*x + 2*sqrt(5) + 4*sqrt(x^2 - 1) + 2) - sqrt(5)*(x^2 - x - 1)*sqrt(10*sqrt(5) + 22)*log(-sqrt(10*sqrt(5) + 22)*(sqrt(5) - 3) + 4*sqrt(x)) - 40*x^2 - 20*sqrt(x^2 - 1)*(2*x - 1) + 20*(2*x - 1)*sqrt(x) + 40*x + 40)/(x^2 - x - 1)","B",0
11,1,161,0,0.985888," ","integrate(1/2/(1+x)^2*2^(1/2)/(-I+x^2)^(1/2)+1/2/(1+x)^2*2^(1/2)/(I+x^2)^(1/2),x, algorithm=""fricas"")","\frac{\sqrt{-\frac{1}{2} i + \frac{1}{2}} {\left(-\left(i - 1\right) \, x - i + 1\right)} \log\left(\sqrt{2} \sqrt{-\frac{1}{2} i + \frac{1}{2}} - x + \sqrt{x^{2} - i} - 1\right) + \sqrt{-\frac{1}{2} i + \frac{1}{2}} {\left(\left(i - 1\right) \, x + i - 1\right)} \log\left(-\sqrt{2} \sqrt{-\frac{1}{2} i + \frac{1}{2}} - x + \sqrt{x^{2} - i} - 1\right) + \sqrt{-\frac{1}{2} i - \frac{1}{2}} {\left(-\left(i + 1\right) \, x - i - 1\right)} \log\left(i \, \sqrt{2} \sqrt{-\frac{1}{2} i - \frac{1}{2}} - x + \sqrt{x^{2} + i} - 1\right) + \sqrt{-\frac{1}{2} i - \frac{1}{2}} {\left(\left(i + 1\right) \, x + i + 1\right)} \log\left(-i \, \sqrt{2} \sqrt{-\frac{1}{2} i - \frac{1}{2}} - x + \sqrt{x^{2} + i} - 1\right) + \sqrt{2} {\left(-\left(i + 1\right) \, x - i - 1\right)} - \sqrt{2} \sqrt{x^{2} + i} - i \, \sqrt{2} \sqrt{x^{2} - i}}{\left(2 i + 2\right) \, x + 2 i + 2}"," ",0,"(sqrt(-1/2*I + 1/2)*(-(I - 1)*x - I + 1)*log(sqrt(2)*sqrt(-1/2*I + 1/2) - x + sqrt(x^2 - I) - 1) + sqrt(-1/2*I + 1/2)*((I - 1)*x + I - 1)*log(-sqrt(2)*sqrt(-1/2*I + 1/2) - x + sqrt(x^2 - I) - 1) + sqrt(-1/2*I - 1/2)*(-(I + 1)*x - I - 1)*log(I*sqrt(2)*sqrt(-1/2*I - 1/2) - x + sqrt(x^2 + I) - 1) + sqrt(-1/2*I - 1/2)*((I + 1)*x + I + 1)*log(-I*sqrt(2)*sqrt(-1/2*I - 1/2) - x + sqrt(x^2 + I) - 1) + sqrt(2)*(-(I + 1)*x - I - 1) - sqrt(2)*sqrt(x^2 + I) - I*sqrt(2)*sqrt(x^2 - I))/((2*I + 2)*x + 2*I + 2)","A",0
12,1,394,0,5.117059," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(1+x)^2/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{4 \, {\left(x + 1\right)} \sqrt{\sqrt{2} + 1} \arctan\left(\frac{2 \, {\left(x^{3} + x^{2} - \sqrt{2} {\left(x^{3} + 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} x - x - 1\right)} - x + 1\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{\sqrt{2} + 1} + {\left(2 \, x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + 2 \, \sqrt{x^{4} + 1} {\left(\sqrt{2} - 1\right)} + 2\right)} \sqrt{2 \, \sqrt{2} + 2} \sqrt{\sqrt{2} + 1}}{2 \, {\left(x^{2} - 2 \, x + 1\right)}}\right) + {\left(x + 1\right)} \sqrt{\sqrt{2} - 1} \log\left(-\frac{{\left(2 \, x^{3} - \sqrt{2} {\left(x^{3} - x^{2} - x - 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2 \, x\right)} - 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + {\left(\sqrt{2} {\left(x^{2} + 1\right)} + 2 \, \sqrt{x^{4} + 1}\right)} \sqrt{\sqrt{2} - 1}}{x^{2} + 2 \, x + 1}\right) - {\left(x + 1\right)} \sqrt{\sqrt{2} - 1} \log\left(-\frac{{\left(2 \, x^{3} - \sqrt{2} {\left(x^{3} - x^{2} - x - 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2 \, x\right)} - 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - {\left(\sqrt{2} {\left(x^{2} + 1\right)} + 2 \, \sqrt{x^{4} + 1}\right)} \sqrt{\sqrt{2} - 1}}{x^{2} + 2 \, x + 1}\right) + 4 \, \sqrt{x^{2} + \sqrt{x^{4} + 1}} {\left(x^{2} - \sqrt{x^{4} + 1} - 1\right)}}{8 \, {\left(x + 1\right)}}"," ",0,"1/8*(4*(x + 1)*sqrt(sqrt(2) + 1)*arctan(1/2*(2*(x^3 + x^2 - sqrt(2)*(x^3 + 1) + sqrt(x^4 + 1)*(sqrt(2)*x - x - 1) - x + 1)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(sqrt(2) + 1) + (2*x^2 - sqrt(2)*(x^2 + 1) + 2*sqrt(x^4 + 1)*(sqrt(2) - 1) + 2)*sqrt(2*sqrt(2) + 2)*sqrt(sqrt(2) + 1))/(x^2 - 2*x + 1)) + (x + 1)*sqrt(sqrt(2) - 1)*log(-((2*x^3 - sqrt(2)*(x^3 - x^2 - x - 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2*x) - 2)*sqrt(x^2 + sqrt(x^4 + 1)) + (sqrt(2)*(x^2 + 1) + 2*sqrt(x^4 + 1))*sqrt(sqrt(2) - 1))/(x^2 + 2*x + 1)) - (x + 1)*sqrt(sqrt(2) - 1)*log(-((2*x^3 - sqrt(2)*(x^3 - x^2 - x - 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2*x) - 2)*sqrt(x^2 + sqrt(x^4 + 1)) - (sqrt(2)*(x^2 + 1) + 2*sqrt(x^4 + 1))*sqrt(sqrt(2) - 1))/(x^2 + 2*x + 1)) + 4*sqrt(x^2 + sqrt(x^4 + 1))*(x^2 - sqrt(x^4 + 1) - 1))/(x + 1)","B",0
13,1,369,0,9.866125," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(1+x)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{2 \, \sqrt{2} - 2} \arctan\left(\frac{{\left(2 \, x^{2} - \sqrt{2} {\left(x^{3} - x^{2} + x + 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2\right)} - 2 \, x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} \sqrt{2 \, \sqrt{2} - 2} + {\left(x^{2} + \sqrt{2} \sqrt{x^{4} + 1} + 1\right)} \sqrt{2 \, \sqrt{2} + 2} \sqrt{2 \, \sqrt{2} - 2}}{2 \, {\left(x^{2} - 2 \, x + 1\right)}}\right) - \frac{1}{8} \, \sqrt{2 \, \sqrt{2} + 2} \log\left(-\frac{{\left(2 \, x^{3} - \sqrt{2} {\left(x^{3} - x^{2} - x - 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2 \, x\right)} - 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} - 2\right)} + 1\right)} \sqrt{2 \, \sqrt{2} + 2}}{x^{2} + 2 \, x + 1}\right) + \frac{1}{8} \, \sqrt{2 \, \sqrt{2} + 2} \log\left(-\frac{{\left(2 \, x^{3} - \sqrt{2} {\left(x^{3} - x^{2} - x - 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} {\left(x - 1\right)} - 2 \, x\right)} - 2\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} - {\left(x^{2} - \sqrt{2} {\left(x^{2} + 1\right)} + \sqrt{x^{4} + 1} {\left(\sqrt{2} - 2\right)} + 1\right)} \sqrt{2 \, \sqrt{2} + 2}}{x^{2} + 2 \, x + 1}\right)"," ",0,"1/2*sqrt(2*sqrt(2) - 2)*arctan(1/2*((2*x^2 - sqrt(2)*(x^3 - x^2 + x + 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2) - 2*x)*sqrt(x^2 + sqrt(x^4 + 1))*sqrt(2*sqrt(2) - 2) + (x^2 + sqrt(2)*sqrt(x^4 + 1) + 1)*sqrt(2*sqrt(2) + 2)*sqrt(2*sqrt(2) - 2))/(x^2 - 2*x + 1)) - 1/8*sqrt(2*sqrt(2) + 2)*log(-((2*x^3 - sqrt(2)*(x^3 - x^2 - x - 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2*x) - 2)*sqrt(x^2 + sqrt(x^4 + 1)) + (x^2 - sqrt(2)*(x^2 + 1) + sqrt(x^4 + 1)*(sqrt(2) - 2) + 1)*sqrt(2*sqrt(2) + 2))/(x^2 + 2*x + 1)) + 1/8*sqrt(2*sqrt(2) + 2)*log(-((2*x^3 - sqrt(2)*(x^3 - x^2 - x - 1) + sqrt(x^4 + 1)*(sqrt(2)*(x - 1) - 2*x) - 2)*sqrt(x^2 + sqrt(x^4 + 1)) - (x^2 - sqrt(2)*(x^2 + 1) + sqrt(x^4 + 1)*(sqrt(2) - 2) + 1)*sqrt(2*sqrt(2) + 2))/(x^2 + 2*x + 1))","B",0
14,1,60,0,1.269082," ","integrate((x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \log\left(4 \, x^{4} + 4 \, \sqrt{x^{4} + 1} x^{2} + 2 \, {\left(\sqrt{2} x^{3} + \sqrt{2} \sqrt{x^{4} + 1} x\right)} \sqrt{x^{2} + \sqrt{x^{4} + 1}} + 1\right)"," ",0,"1/4*sqrt(2)*log(4*x^4 + 4*sqrt(x^4 + 1)*x^2 + 2*(sqrt(2)*x^3 + sqrt(2)*sqrt(x^4 + 1)*x)*sqrt(x^2 + sqrt(x^4 + 1)) + 1)","B",0
15,1,29,0,1.583687," ","integrate((-x^2+(x^4+1)^(1/2))^(1/2)/(x^4+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} \sqrt{-x^{2} + \sqrt{x^{4} + 1}}}{2 \, x}\right)"," ",0,"-1/2*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(-x^2 + sqrt(x^4 + 1))/x)","A",0
16,1,28,0,1.085806," ","integrate(((-1+x)^(3/2)+(1+x)^(3/2))/(-1+x)^(3/2)/(1+x)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left({\left(x + 1\right)} \sqrt{x - 1} + \sqrt{x + 1} {\left(x - 1\right)}\right)}}{x^{2} - 1}"," ",0,"-2*((x + 1)*sqrt(x - 1) + sqrt(x + 1)*(x - 1))/(x^2 - 1)","A",0
17,1,32,0,1.198827," ","integrate((x+(x^2+a)^(1/2))^b,x, algorithm=""fricas"")","\frac{{\left(\sqrt{x^{2} + a} b - x\right)} {\left(x + \sqrt{x^{2} + a}\right)}^{b}}{b^{2} - 1}"," ",0,"(sqrt(x^2 + a)*b - x)*(x + sqrt(x^2 + a))^b/(b^2 - 1)","A",0
18,1,33,0,1.155919," ","integrate((x-(x^2+a)^(1/2))^b,x, algorithm=""fricas"")","-\frac{{\left(\sqrt{x^{2} + a} b + x\right)} {\left(x - \sqrt{x^{2} + a}\right)}^{b}}{b^{2} - 1}"," ",0,"-(sqrt(x^2 + a)*b + x)*(x - sqrt(x^2 + a))^b/(b^2 - 1)","A",0
19,1,15,0,1.142939," ","integrate((x+(x^2+a)^(1/2))^b/(x^2+a)^(1/2),x, algorithm=""fricas"")","\frac{{\left(x + \sqrt{x^{2} + a}\right)}^{b}}{b}"," ",0,"(x + sqrt(x^2 + a))^b/b","A",0
20,1,18,0,0.843101," ","integrate((x-(x^2+a)^(1/2))^b/(x^2+a)^(1/2),x, algorithm=""fricas"")","-\frac{{\left(x - \sqrt{x^{2} + a}\right)}^{b}}{b}"," ",0,"-(x - sqrt(x^2 + a))^b/b","A",0
21,1,52,0,1.096812," ","integrate(1/(a+b*exp(p*x))^2,x, algorithm=""fricas"")","\frac{b p x e^{\left(p x\right)} + a p x - {\left(b e^{\left(p x\right)} + a\right)} \log\left(b e^{\left(p x\right)} + a\right) + a}{a^{2} b p e^{\left(p x\right)} + a^{3} p}"," ",0,"(b*p*x*e^(p*x) + a*p*x - (b*e^(p*x) + a)*log(b*e^(p*x) + a) + a)/(a^2*b*p*e^(p*x) + a^3*p)","A",0
22,1,19,0,0.971777," ","integrate(1/(b/exp(p*x)+a*exp(p*x))^2,x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(a^{2} p e^{\left(2 \, p x\right)} + a b p\right)}}"," ",0,"-1/2/(a^2*p*e^(2*p*x) + a*b*p)","A",0
23,1,58,0,1.123955," ","integrate(x/(b/exp(p*x)+a*exp(p*x))^2,x, algorithm=""fricas"")","\frac{2 \, a p x e^{\left(2 \, p x\right)} - {\left(a e^{\left(2 \, p x\right)} + b\right)} \log\left(a e^{\left(2 \, p x\right)} + b\right)}{4 \, {\left(a^{2} b p^{2} e^{\left(2 \, p x\right)} + a b^{2} p^{2}\right)}}"," ",0,"1/4*(2*a*p*x*e^(2*p*x) - (a*e^(2*p*x) + b)*log(a*e^(2*p*x) + b))/(a^2*b*p^2*e^(2*p*x) + a*b^2*p^2)","A",0
24,1,358,0,1.037683," ","integrate((3*x^2-x+1)/(x^2+x+1)^2/(x^2-x+1)^(1/2),x, algorithm=""fricas"")","-\frac{8 \, \sqrt{6} \sqrt{3} {\left(x^{2} + x + 1\right)} \arctan\left(\frac{2}{3} \, \sqrt{6} \sqrt{3} {\left(x - 1\right)} + \frac{2}{3} \, \sqrt{2 \, x^{2} - \sqrt{x^{2} - x + 1} {\left(2 \, x - \sqrt{6} + 1\right)} - \sqrt{6} {\left(x + 1\right)} + 4} {\left(\sqrt{6} \sqrt{3} + 3 \, \sqrt{3}\right)} - \frac{2}{3} \, \sqrt{x^{2} - x + 1} {\left(\sqrt{6} \sqrt{3} + 3 \, \sqrt{3}\right)} + \sqrt{3} {\left(2 \, x - 1\right)}\right) + 8 \, \sqrt{6} \sqrt{3} {\left(x^{2} + x + 1\right)} \arctan\left(\frac{2}{3} \, \sqrt{6} \sqrt{3} {\left(x - 1\right)} + \frac{2}{3} \, \sqrt{2 \, x^{2} - \sqrt{x^{2} - x + 1} {\left(2 \, x + \sqrt{6} + 1\right)} + \sqrt{6} {\left(x + 1\right)} + 4} {\left(\sqrt{6} \sqrt{3} - 3 \, \sqrt{3}\right)} - \frac{2}{3} \, \sqrt{x^{2} - x + 1} {\left(\sqrt{6} \sqrt{3} - 3 \, \sqrt{3}\right)} - \sqrt{3} {\left(2 \, x - 1\right)}\right) - \sqrt{6} {\left(x^{2} + x + 1\right)} \log\left(12168 \, x^{2} - 6084 \, \sqrt{x^{2} - x + 1} {\left(2 \, x + \sqrt{6} + 1\right)} + 6084 \, \sqrt{6} {\left(x + 1\right)} + 24336\right) + \sqrt{6} {\left(x^{2} + x + 1\right)} \log\left(12168 \, x^{2} - 6084 \, \sqrt{x^{2} - x + 1} {\left(2 \, x - \sqrt{6} + 1\right)} - 6084 \, \sqrt{6} {\left(x + 1\right)} + 24336\right) - 12 \, x^{2} - 12 \, \sqrt{x^{2} - x + 1} {\left(x + 1\right)} - 12 \, x - 12}{12 \, {\left(x^{2} + x + 1\right)}}"," ",0,"-1/12*(8*sqrt(6)*sqrt(3)*(x^2 + x + 1)*arctan(2/3*sqrt(6)*sqrt(3)*(x - 1) + 2/3*sqrt(2*x^2 - sqrt(x^2 - x + 1)*(2*x - sqrt(6) + 1) - sqrt(6)*(x + 1) + 4)*(sqrt(6)*sqrt(3) + 3*sqrt(3)) - 2/3*sqrt(x^2 - x + 1)*(sqrt(6)*sqrt(3) + 3*sqrt(3)) + sqrt(3)*(2*x - 1)) + 8*sqrt(6)*sqrt(3)*(x^2 + x + 1)*arctan(2/3*sqrt(6)*sqrt(3)*(x - 1) + 2/3*sqrt(2*x^2 - sqrt(x^2 - x + 1)*(2*x + sqrt(6) + 1) + sqrt(6)*(x + 1) + 4)*(sqrt(6)*sqrt(3) - 3*sqrt(3)) - 2/3*sqrt(x^2 - x + 1)*(sqrt(6)*sqrt(3) - 3*sqrt(3)) - sqrt(3)*(2*x - 1)) - sqrt(6)*(x^2 + x + 1)*log(12168*x^2 - 6084*sqrt(x^2 - x + 1)*(2*x + sqrt(6) + 1) + 6084*sqrt(6)*(x + 1) + 24336) + sqrt(6)*(x^2 + x + 1)*log(12168*x^2 - 6084*sqrt(x^2 - x + 1)*(2*x - sqrt(6) + 1) - 6084*sqrt(6)*(x + 1) + 24336) - 12*x^2 - 12*sqrt(x^2 - x + 1)*(x + 1) - 12*x - 12)/(x^2 + x + 1)","B",0
25,1,15,0,1.166745," ","integrate((x+(a^2+x^2)^(1/2))^(1/2)/(a^2+x^2)^(1/2),x, algorithm=""fricas"")","2 \, \sqrt{x + \sqrt{a^{2} + x^{2}}}"," ",0,"2*sqrt(x + sqrt(a^2 + x^2))","A",0
26,1,22,0,1.020334," ","integrate((b*x+(b^2*x^2+a)^(1/2))^(1/2)/(b^2*x^2+a)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{b x + \sqrt{b^{2} x^{2} + a}}}{b}"," ",0,"2*sqrt(b*x + sqrt(b^2*x^2 + a))/b","A",0
27,1,198,0,1.110698," ","integrate(1/x/(a^2+x^2)^(1/2)/(x+(a^2+x^2)^(1/2))^(1/2),x, algorithm=""fricas"")","\left[-\frac{2 \, \sqrt{a} \arctan\left(\frac{\sqrt{x + \sqrt{a^{2} + x^{2}}}}{\sqrt{a}}\right) - \sqrt{a} \log\left(\frac{a^{2} + \sqrt{a^{2} + x^{2}} a - {\left({\left(a - x\right)} \sqrt{a} + \sqrt{a^{2} + x^{2}} \sqrt{a}\right)} \sqrt{x + \sqrt{a^{2} + x^{2}}}}{x}\right)}{a^{2}}, \frac{2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{-a} \sqrt{x + \sqrt{a^{2} + x^{2}}}}{a}\right) - \sqrt{-a} \log\left(-\frac{a^{2} - \sqrt{a^{2} + x^{2}} a - {\left(\sqrt{-a} {\left(a + x\right)} - \sqrt{a^{2} + x^{2}} \sqrt{-a}\right)} \sqrt{x + \sqrt{a^{2} + x^{2}}}}{x}\right)}{a^{2}}\right]"," ",0,"[-(2*sqrt(a)*arctan(sqrt(x + sqrt(a^2 + x^2))/sqrt(a)) - sqrt(a)*log((a^2 + sqrt(a^2 + x^2)*a - ((a - x)*sqrt(a) + sqrt(a^2 + x^2)*sqrt(a))*sqrt(x + sqrt(a^2 + x^2)))/x))/a^2, (2*sqrt(-a)*arctan(sqrt(-a)*sqrt(x + sqrt(a^2 + x^2))/a) - sqrt(-a)*log(-(a^2 - sqrt(a^2 + x^2)*a - (sqrt(-a)*(a + x) - sqrt(a^2 + x^2)*sqrt(-a))*sqrt(x + sqrt(a^2 + x^2)))/x))/a^2]","A",0
28,1,216,0,1.189665," ","integrate((x+(a^2+x^2)^(1/2))^(1/2)/x,x, algorithm=""fricas"")","\left[-2 \, \sqrt{a} \arctan\left(\frac{\sqrt{x + \sqrt{a^{2} + x^{2}}}}{\sqrt{a}}\right) + \sqrt{a} \log\left(\frac{a^{2} + \sqrt{a^{2} + x^{2}} a - {\left({\left(a - x\right)} \sqrt{a} + \sqrt{a^{2} + x^{2}} \sqrt{a}\right)} \sqrt{x + \sqrt{a^{2} + x^{2}}}}{x}\right) + 2 \, \sqrt{x + \sqrt{a^{2} + x^{2}}}, 2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{-a} \sqrt{x + \sqrt{a^{2} + x^{2}}}}{a}\right) + \sqrt{-a} \log\left(-\frac{a^{2} - \sqrt{a^{2} + x^{2}} a + {\left(\sqrt{-a} {\left(a + x\right)} - \sqrt{a^{2} + x^{2}} \sqrt{-a}\right)} \sqrt{x + \sqrt{a^{2} + x^{2}}}}{x}\right) + 2 \, \sqrt{x + \sqrt{a^{2} + x^{2}}}\right]"," ",0,"[-2*sqrt(a)*arctan(sqrt(x + sqrt(a^2 + x^2))/sqrt(a)) + sqrt(a)*log((a^2 + sqrt(a^2 + x^2)*a - ((a - x)*sqrt(a) + sqrt(a^2 + x^2)*sqrt(a))*sqrt(x + sqrt(a^2 + x^2)))/x) + 2*sqrt(x + sqrt(a^2 + x^2)), 2*sqrt(-a)*arctan(sqrt(-a)*sqrt(x + sqrt(a^2 + x^2))/a) + sqrt(-a)*log(-(a^2 - sqrt(a^2 + x^2)*a + (sqrt(-a)*(a + x) - sqrt(a^2 + x^2)*sqrt(-a))*sqrt(x + sqrt(a^2 + x^2)))/x) + 2*sqrt(x + sqrt(a^2 + x^2))]","A",0
29,0,0,0,1.166816," ","integrate(x^3*log(2+x)^3*log(3+x),x, algorithm=""fricas"")","{\rm integral}\left(x^{3} \log\left(x + 3\right) \log\left(x + 2\right)^{3}, x\right)"," ",0,"integral(x^3*log(x + 3)*log(x + 2)^3, x)","F",0
30,1,15,0,1.168074," ","integrate((x+(x^2+b)^(1/2))^a/(x^2+b)^(1/2),x, algorithm=""fricas"")","\frac{{\left(x + \sqrt{x^{2} + b}\right)}^{a}}{a}"," ",0,"(x + sqrt(x^2 + b))^a/a","A",0
31,1,32,0,0.976226," ","integrate((x+(x^2+b)^(1/2))^a,x, algorithm=""fricas"")","\frac{{\left(\sqrt{x^{2} + b} a - x\right)} {\left(x + \sqrt{x^{2} + b}\right)}^{a}}{a^{2} - 1}"," ",0,"(sqrt(x^2 + b)*a - x)*(x + sqrt(x^2 + b))^a/(a^2 - 1)","A",0
32,1,48,0,1.127539," ","integrate((6+3*x^a+2*x^(2*a))^(1/a)*(x^a+x^(2*a)+x^(3*a)),x, algorithm=""fricas"")","\frac{{\left(2 \, x x^{3 \, a} + 3 \, x x^{2 \, a} + 6 \, x x^{a}\right)} {\left(2 \, x^{2 \, a} + 3 \, x^{a} + 6\right)}^{\left(\frac{1}{a}\right)}}{6 \, {\left(a + 1\right)}}"," ",0,"1/6*(2*x*x^(3*a) + 3*x*x^(2*a) + 6*x*x^a)*(2*x^(2*a) + 3*x^a + 6)^(1/a)/(a + 1)","A",0
33,1,64,0,2.070563," ","integrate(1/x/(-x^2+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(-x^{2} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{4} \, \log\left({\left(-x^{2} + 1\right)}^{\frac{2}{3}} + {\left(-x^{2} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{2} \, \log\left({\left(-x^{2} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/2*sqrt(3)*arctan(2/3*sqrt(3)*(-x^2 + 1)^(1/3) + 1/3*sqrt(3)) - 1/4*log((-x^2 + 1)^(2/3) + (-x^2 + 1)^(1/3) + 1) + 1/2*log((-x^2 + 1)^(1/3) - 1)","A",0
34,1,64,0,0.700120," ","integrate(1/x/(-x^2+1)^(2/3),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(-x^{2} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{4} \, \log\left({\left(-x^{2} + 1\right)}^{\frac{2}{3}} + {\left(-x^{2} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{2} \, \log\left({\left(-x^{2} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"-1/2*sqrt(3)*arctan(2/3*sqrt(3)*(-x^2 + 1)^(1/3) + 1/3*sqrt(3)) - 1/4*log((-x^2 + 1)^(2/3) + (-x^2 + 1)^(1/3) + 1) + 1/2*log((-x^2 + 1)^(1/3) - 1)","A",0
35,1,82,0,1.114403," ","integrate(1/(-x^3+1)^(1/3),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} x - 2 \, \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{3} \, \log\left(\frac{x + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{6} \, \log\left(\frac{x^{2} - {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-1/3*sqrt(3)*arctan(-1/3*(sqrt(3)*x - 2*sqrt(3)*(-x^3 + 1)^(1/3))/x) + 1/3*log((x + (-x^3 + 1)^(1/3))/x) - 1/6*log((x^2 - (-x^3 + 1)^(1/3)*x + (-x^3 + 1)^(2/3))/x^2)","B",0
36,1,64,0,0.799392," ","integrate(1/x/(-x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) - \frac{1}{6} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{2}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/3*sqrt(3)*arctan(2/3*sqrt(3)*(-x^3 + 1)^(1/3) + 1/3*sqrt(3)) - 1/6*log((-x^3 + 1)^(2/3) + (-x^3 + 1)^(1/3) + 1) + 1/3*log((-x^3 + 1)^(1/3) - 1)","A",0
37,1,301,0,7.798540," ","integrate(1/(1+x)/(-x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} {\left(13 \, x^{6} + 2 \, x^{5} + 19 \, x^{4} - 4 \, x^{3} + 19 \, x^{2} + 2 \, x + 13\right)} - 4 \, \sqrt{2} {\left(5 \, x^{5} - 5 \, x^{4} + 6 \, x^{3} - 6 \, x^{2} + 5 \, x - 5\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 16 \cdot 2^{\frac{1}{6}} {\left(x^{4} + 2 \, x^{3} + 2 \, x^{2} + 2 \, x + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right)}}{6 \, {\left(3 \, x^{6} - 18 \, x^{5} - 3 \, x^{4} - 28 \, x^{3} - 3 \, x^{2} - 18 \, x + 3\right)}}\right) - \frac{1}{24} \cdot 2^{\frac{2}{3}} \log\left(\frac{4 \cdot 2^{\frac{2}{3}} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{2} + 1\right)} + 2^{\frac{1}{3}} {\left(5 \, x^{4} + 6 \, x^{2} + 5\right)} - 2 \, {\left(3 \, x^{3} - x^{2} + x - 3\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{4} + 4 \, x^{3} + 6 \, x^{2} + 4 \, x + 1}\right) + \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(\frac{2^{\frac{2}{3}} {\left(x^{2} + 2 \, x + 1\right)} - 2 \cdot 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} - 4 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2} + 2 \, x + 1}\right)"," ",0,"1/12*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6)*(13*x^6 + 2*x^5 + 19*x^4 - 4*x^3 + 19*x^2 + 2*x + 13) - 4*sqrt(2)*(5*x^5 - 5*x^4 + 6*x^3 - 6*x^2 + 5*x - 5)*(-x^3 + 1)^(1/3) + 16*2^(1/6)*(x^4 + 2*x^3 + 2*x^2 + 2*x + 1)*(-x^3 + 1)^(2/3))/(3*x^6 - 18*x^5 - 3*x^4 - 28*x^3 - 3*x^2 - 18*x + 3)) - 1/24*2^(2/3)*log((4*2^(2/3)*(-x^3 + 1)^(2/3)*(x^2 + 1) + 2^(1/3)*(5*x^4 + 6*x^2 + 5) - 2*(3*x^3 - x^2 + x - 3)*(-x^3 + 1)^(1/3))/(x^4 + 4*x^3 + 6*x^2 + 4*x + 1)) + 1/12*2^(2/3)*log((2^(2/3)*(x^2 + 2*x + 1) - 2*2^(1/3)*(-x^3 + 1)^(1/3)*(x - 1) - 4*(-x^3 + 1)^(2/3))/(x^2 + 2*x + 1))","B",0
38,-2,0,0,0.000000," ","integrate(x/(1+x)/(-x^3+1)^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
39,1,277,0,4.306160," ","integrate(1/x/(x^2-3*x+2)^(1/3),x, algorithm=""fricas"")","-\frac{1}{12} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} {\left(x^{6} + 36 \, x^{5} - 612 \, x^{4} + 2880 \, x^{3} - 5760 \, x^{2} + 5184 \, x - 1728\right)} + 12 \, \sqrt{2} {\left(x^{5} - 38 \, x^{4} + 252 \, x^{3} - 648 \, x^{2} + 720 \, x - 288\right)} {\left(x^{2} - 3 \, x + 2\right)}^{\frac{1}{3}} + 48 \cdot 2^{\frac{1}{6}} {\left(x^{4} - 6 \, x^{3} + 6 \, x^{2}\right)} {\left(x^{2} - 3 \, x + 2\right)}^{\frac{2}{3}}\right)}}{6 \, {\left(x^{6} - 108 \, x^{5} + 972 \, x^{4} - 3456 \, x^{3} + 6048 \, x^{2} - 5184 \, x + 1728\right)}}\right) + \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(\frac{2^{\frac{2}{3}} x^{2} + 6 \cdot 2^{\frac{1}{3}} {\left(x^{2} - 3 \, x + 2\right)}^{\frac{1}{3}} {\left(x - 2\right)} + 12 \, {\left(x^{2} - 3 \, x + 2\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{24} \cdot 2^{\frac{2}{3}} \log\left(\frac{12 \cdot 2^{\frac{2}{3}} {\left(x^{2} - 3 \, x + 2\right)}^{\frac{2}{3}} {\left(x^{2} - 6 \, x + 6\right)} + 2^{\frac{1}{3}} {\left(x^{4} - 36 \, x^{3} + 180 \, x^{2} - 288 \, x + 144\right)} - 6 \, {\left(x^{3} - 14 \, x^{2} + 36 \, x - 24\right)} {\left(x^{2} - 3 \, x + 2\right)}^{\frac{1}{3}}}{x^{4}}\right)"," ",0,"-1/12*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6)*(x^6 + 36*x^5 - 612*x^4 + 2880*x^3 - 5760*x^2 + 5184*x - 1728) + 12*sqrt(2)*(x^5 - 38*x^4 + 252*x^3 - 648*x^2 + 720*x - 288)*(x^2 - 3*x + 2)^(1/3) + 48*2^(1/6)*(x^4 - 6*x^3 + 6*x^2)*(x^2 - 3*x + 2)^(2/3))/(x^6 - 108*x^5 + 972*x^4 - 3456*x^3 + 6048*x^2 - 5184*x + 1728)) + 1/12*2^(2/3)*log((2^(2/3)*x^2 + 6*2^(1/3)*(x^2 - 3*x + 2)^(1/3)*(x - 2) + 12*(x^2 - 3*x + 2)^(2/3))/x^2) - 1/24*2^(2/3)*log((12*2^(2/3)*(x^2 - 3*x + 2)^(2/3)*(x^2 - 6*x + 6) + 2^(1/3)*(x^4 - 36*x^3 + 180*x^2 - 288*x + 144) - 6*(x^3 - 14*x^2 + 36*x - 24)*(x^2 - 3*x + 2)^(1/3))/x^4)","B",0
40,1,120,0,1.909994," ","integrate(1/(x^3-3*x^2+7*x-5)^(1/3),x, algorithm=""fricas"")","-\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{22791076 \, \sqrt{3} {\left(x^{3} - 3 \, x^{2} + 7 \, x - 5\right)}^{\frac{1}{3}} {\left(x - 1\right)} + \sqrt{3} {\left(20389537 \, x^{2} - 40779074 \, x + 53222437\right)} + 17987998 \, \sqrt{3} {\left(x^{3} - 3 \, x^{2} + 7 \, x - 5\right)}^{\frac{2}{3}}}{7204617 \, x^{2} - 14409234 \, x - 20666867}\right) - \frac{1}{4} \, \log\left(3 \, {\left(x^{3} - 3 \, x^{2} + 7 \, x - 5\right)}^{\frac{1}{3}} {\left(x - 1\right)} - 3 \, {\left(x^{3} - 3 \, x^{2} + 7 \, x - 5\right)}^{\frac{2}{3}} + 4\right)"," ",0,"-1/2*sqrt(3)*arctan((22791076*sqrt(3)*(x^3 - 3*x^2 + 7*x - 5)^(1/3)*(x - 1) + sqrt(3)*(20389537*x^2 - 40779074*x + 53222437) + 17987998*sqrt(3)*(x^3 - 3*x^2 + 7*x - 5)^(2/3))/(7204617*x^2 - 14409234*x - 20666867)) - 1/4*log(3*(x^3 - 3*x^2 + 7*x - 5)^(1/3)*(x - 1) - 3*(x^3 - 3*x^2 + 7*x - 5)^(2/3) + 4)","A",0
41,1,415,0,3.772986," ","integrate(1/(x*(x^2-q))^(1/3),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{4 \, \sqrt{3} {\left(q^{12} - 15 \, q^{10} + 90 \, q^{8} - 351 \, q^{6} + 810 \, q^{4} - 1215 \, q^{2} + 729\right)} {\left(x^{3} - q x\right)}^{\frac{1}{3}} x - 2 \, \sqrt{3} {\left(q^{12} + 6 \, q^{11} - 15 \, q^{10} - 54 \, q^{9} + 90 \, q^{8} + 270 \, q^{7} - 351 \, q^{6} - 810 \, q^{5} + 810 \, q^{4} + 1458 \, q^{3} - 1215 \, q^{2} - 1458 \, q + 729\right)} {\left(x^{3} - q x\right)}^{\frac{2}{3}} - \sqrt{3} {\left(q^{13} + 10 \, q^{12} - 15 \, q^{11} - 282 \, q^{10} + 90 \, q^{9} + 2178 \, q^{8} - 351 \, q^{7} - 6534 \, q^{6} + 810 \, q^{5} + 7614 \, q^{4} - 1215 \, q^{3} - {\left(q^{12} - 6 \, q^{11} - 15 \, q^{10} + 54 \, q^{9} + 90 \, q^{8} - 270 \, q^{7} - 351 \, q^{6} + 810 \, q^{5} + 810 \, q^{4} - 1458 \, q^{3} - 1215 \, q^{2} + 1458 \, q + 729\right)} x^{2} - 2430 \, q^{2} + 729 \, q\right)}}{q^{13} + 18 \, q^{12} + 81 \, q^{11} - 162 \, q^{10} - 1350 \, q^{9} + 810 \, q^{8} + 6561 \, q^{7} - 2430 \, q^{6} - 12150 \, q^{5} + 4374 \, q^{4} + 6561 \, q^{3} - 9 \, {\left(q^{12} + 2 \, q^{11} - 15 \, q^{10} - 18 \, q^{9} + 90 \, q^{8} + 90 \, q^{7} - 351 \, q^{6} - 270 \, q^{5} + 810 \, q^{4} + 486 \, q^{3} - 1215 \, q^{2} - 486 \, q + 729\right)} x^{2} - 4374 \, q^{2} + 729 \, q}\right) - \frac{1}{4} \, \log\left(-3 \, {\left(x^{3} - q x\right)}^{\frac{1}{3}} x + q + 3 \, {\left(x^{3} - q x\right)}^{\frac{2}{3}}\right)"," ",0,"1/2*sqrt(3)*arctan((4*sqrt(3)*(q^12 - 15*q^10 + 90*q^8 - 351*q^6 + 810*q^4 - 1215*q^2 + 729)*(x^3 - q*x)^(1/3)*x - 2*sqrt(3)*(q^12 + 6*q^11 - 15*q^10 - 54*q^9 + 90*q^8 + 270*q^7 - 351*q^6 - 810*q^5 + 810*q^4 + 1458*q^3 - 1215*q^2 - 1458*q + 729)*(x^3 - q*x)^(2/3) - sqrt(3)*(q^13 + 10*q^12 - 15*q^11 - 282*q^10 + 90*q^9 + 2178*q^8 - 351*q^7 - 6534*q^6 + 810*q^5 + 7614*q^4 - 1215*q^3 - (q^12 - 6*q^11 - 15*q^10 + 54*q^9 + 90*q^8 - 270*q^7 - 351*q^6 + 810*q^5 + 810*q^4 - 1458*q^3 - 1215*q^2 + 1458*q + 729)*x^2 - 2430*q^2 + 729*q))/(q^13 + 18*q^12 + 81*q^11 - 162*q^10 - 1350*q^9 + 810*q^8 + 6561*q^7 - 2430*q^6 - 12150*q^5 + 4374*q^4 + 6561*q^3 - 9*(q^12 + 2*q^11 - 15*q^10 - 18*q^9 + 90*q^8 + 90*q^7 - 351*q^6 - 270*q^5 + 810*q^4 + 486*q^3 - 1215*q^2 - 486*q + 729)*x^2 - 4374*q^2 + 729*q)) - 1/4*log(-3*(x^3 - q*x)^(1/3)*x + q + 3*(x^3 - q*x)^(2/3))","B",0
42,1,665,0,3.275624," ","integrate(1/((-1+x)*(x^2+q-2*x))^(1/3),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{3} \arctan\left(\frac{2 \, \sqrt{3} {\left(q^{12} - 18 \, q^{11} + 117 \, q^{10} - 346 \, q^{9} + 414 \, q^{8} - 18 \, q^{7} + 69 \, q^{6} - 774 \, q^{5} - 234 \, q^{4} + 1058 \, q^{3} + 621 \, q^{2} + 378 \, q - 539\right)} {\left(x^{3} + {\left(q + 2\right)} x - 3 \, x^{2} - q\right)}^{\frac{2}{3}} + 4 \, \sqrt{3} {\left(q^{12} - 12 \, q^{11} + 51 \, q^{10} - 70 \, q^{9} - 90 \, q^{8} + 288 \, q^{7} - 57 \, q^{6} + 54 \, q^{5} - 810 \, q^{4} + 320 \, q^{3} + 291 \, q^{2} - {\left(q^{12} - 12 \, q^{11} + 51 \, q^{10} - 70 \, q^{9} - 90 \, q^{8} + 288 \, q^{7} - 57 \, q^{6} + 54 \, q^{5} - 810 \, q^{4} + 320 \, q^{3} + 291 \, q^{2} + 714 \, q + 49\right)} x + 714 \, q + 49\right)} {\left(x^{3} + {\left(q + 2\right)} x - 3 \, x^{2} - q\right)}^{\frac{1}{3}} - \sqrt{3} {\left(q^{13} - 22 \, q^{12} + 177 \, q^{11} - 514 \, q^{10} - 434 \, q^{9} + 5346 \, q^{8} - 8247 \, q^{7} - 4542 \, q^{6} + 19638 \, q^{5} - 8050 \, q^{4} - 10343 \, q^{3} + {\left(q^{12} - 6 \, q^{11} - 15 \, q^{10} + 206 \, q^{9} - 594 \, q^{8} + 594 \, q^{7} - 183 \, q^{6} + 882 \, q^{5} - 1386 \, q^{4} - 418 \, q^{3} - 39 \, q^{2} + 1050 \, q + 637\right)} x^{2} + 6186 \, q^{2} - 2 \, {\left(q^{12} - 6 \, q^{11} - 15 \, q^{10} + 206 \, q^{9} - 594 \, q^{8} + 594 \, q^{7} - 183 \, q^{6} + 882 \, q^{5} - 1386 \, q^{4} - 418 \, q^{3} - 39 \, q^{2} + 1050 \, q + 637\right)} x + 1501 \, q + 32\right)}}{q^{13} - 22 \, q^{12} + 249 \, q^{11} - 1546 \, q^{10} + 4702 \, q^{9} - 4230 \, q^{8} - 10623 \, q^{7} + 25338 \, q^{6} - 3546 \, q^{5} - 31306 \, q^{4} + 18817 \, q^{3} + 9 \, {\left(q^{12} - 14 \, q^{11} + 73 \, q^{10} - 162 \, q^{9} + 78 \, q^{8} + 186 \, q^{7} - 15 \, q^{6} - 222 \, q^{5} - 618 \, q^{4} + 566 \, q^{3} + 401 \, q^{2} + 602 \, q - 147\right)} x^{2} + 9714 \, q^{2} - 18 \, {\left(q^{12} - 14 \, q^{11} + 73 \, q^{10} - 162 \, q^{9} + 78 \, q^{8} + 186 \, q^{7} - 15 \, q^{6} - 222 \, q^{5} - 618 \, q^{4} + 566 \, q^{3} + 401 \, q^{2} + 602 \, q - 147\right)} x - 995 \, q + 8}\right) - \frac{1}{4} \, \log\left(3 \, {\left(x^{3} + {\left(q + 2\right)} x - 3 \, x^{2} - q\right)}^{\frac{1}{3}} {\left(x - 1\right)} + q - 3 \, {\left(x^{3} + {\left(q + 2\right)} x - 3 \, x^{2} - q\right)}^{\frac{2}{3}} - 1\right)"," ",0,"1/2*sqrt(3)*arctan((2*sqrt(3)*(q^12 - 18*q^11 + 117*q^10 - 346*q^9 + 414*q^8 - 18*q^7 + 69*q^6 - 774*q^5 - 234*q^4 + 1058*q^3 + 621*q^2 + 378*q - 539)*(x^3 + (q + 2)*x - 3*x^2 - q)^(2/3) + 4*sqrt(3)*(q^12 - 12*q^11 + 51*q^10 - 70*q^9 - 90*q^8 + 288*q^7 - 57*q^6 + 54*q^5 - 810*q^4 + 320*q^3 + 291*q^2 - (q^12 - 12*q^11 + 51*q^10 - 70*q^9 - 90*q^8 + 288*q^7 - 57*q^6 + 54*q^5 - 810*q^4 + 320*q^3 + 291*q^2 + 714*q + 49)*x + 714*q + 49)*(x^3 + (q + 2)*x - 3*x^2 - q)^(1/3) - sqrt(3)*(q^13 - 22*q^12 + 177*q^11 - 514*q^10 - 434*q^9 + 5346*q^8 - 8247*q^7 - 4542*q^6 + 19638*q^5 - 8050*q^4 - 10343*q^3 + (q^12 - 6*q^11 - 15*q^10 + 206*q^9 - 594*q^8 + 594*q^7 - 183*q^6 + 882*q^5 - 1386*q^4 - 418*q^3 - 39*q^2 + 1050*q + 637)*x^2 + 6186*q^2 - 2*(q^12 - 6*q^11 - 15*q^10 + 206*q^9 - 594*q^8 + 594*q^7 - 183*q^6 + 882*q^5 - 1386*q^4 - 418*q^3 - 39*q^2 + 1050*q + 637)*x + 1501*q + 32))/(q^13 - 22*q^12 + 249*q^11 - 1546*q^10 + 4702*q^9 - 4230*q^8 - 10623*q^7 + 25338*q^6 - 3546*q^5 - 31306*q^4 + 18817*q^3 + 9*(q^12 - 14*q^11 + 73*q^10 - 162*q^9 + 78*q^8 + 186*q^7 - 15*q^6 - 222*q^5 - 618*q^4 + 566*q^3 + 401*q^2 + 602*q - 147)*x^2 + 9714*q^2 - 18*(q^12 - 14*q^11 + 73*q^10 - 162*q^9 + 78*q^8 + 186*q^7 - 15*q^6 - 222*q^5 - 618*q^4 + 566*q^3 + 401*q^2 + 602*q - 147)*x - 995*q + 8)) - 1/4*log(3*(x^3 + (q + 2)*x - 3*x^2 - q)^(1/3)*(x - 1) + q - 3*(x^3 + (q + 2)*x - 3*x^2 - q)^(2/3) - 1)","B",0
43,1,1496,0,56.276529," ","integrate(1/x/((-1+x)*(-2*q*x+x^2+q))^(1/3),x, algorithm=""fricas"")","\left[\frac{\sqrt{3} q \sqrt{\frac{\left(-q\right)^{\frac{1}{3}}}{q}} \log\left(-\frac{{\left(q^{3} - 30 \, q^{2} - 51 \, q - 1\right)} x^{6} + 54 \, {\left(q^{3} + 6 \, q^{2} + 2 \, q\right)} x^{5} - 27 \, {\left(17 \, q^{3} + 26 \, q^{2} + 2 \, q\right)} x^{4} + 486 \, q^{3} x + 540 \, {\left(2 \, q^{3} + q^{2}\right)} x^{3} - 81 \, q^{3} - 135 \, {\left(8 \, q^{3} + q^{2}\right)} x^{2} + 9 \, {\left({\left(2 \, q^{2} - q - 1\right)} x^{4} - 6 \, {\left(q^{2} - q\right)} x^{3} + 3 \, {\left(q^{2} - q\right)} x^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} \left(-q\right)^{\frac{1}{3}} + 9 \, {\left({\left(q^{2} + 7 \, q + 1\right)} x^{5} - {\left(19 \, q^{2} + 25 \, q + 1\right)} x^{4} + 9 \, {\left(7 \, q^{2} + 3 \, q\right)} x^{3} + 45 \, q^{2} x - 9 \, {\left(9 \, q^{2} + q\right)} x^{2} - 9 \, q^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} \left(-q\right)^{\frac{2}{3}} + \sqrt{3} {\left(3 \, {\left({\left(4 \, q^{2} + 13 \, q + 1\right)} x^{4} - 6 \, {\left(7 \, q^{2} + 5 \, q\right)} x^{3} - 72 \, q^{2} x + 3 \, {\left(31 \, q^{2} + 5 \, q\right)} x^{2} + 18 \, q^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} \left(-q\right)^{\frac{2}{3}} + 3 \, {\left({\left(q^{3} - 5 \, q^{2} - 5 \, q\right)} x^{5} + 5 \, {\left(q^{3} + 7 \, q^{2} + q\right)} x^{4} - 45 \, q^{3} x - 45 \, {\left(q^{3} + q^{2}\right)} x^{3} + 9 \, q^{3} + 15 \, {\left(5 \, q^{3} + q^{2}\right)} x^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} + {\left({\left(q^{3} + 24 \, q^{2} + 3 \, q - 1\right)} x^{6} - 54 \, {\left(q^{3} + 2 \, q^{2}\right)} x^{5} + 81 \, {\left(3 \, q^{3} + 2 \, q^{2}\right)} x^{4} - 162 \, q^{3} x - 108 \, {\left(4 \, q^{3} + q^{2}\right)} x^{3} + 27 \, q^{3} + 27 \, {\left(14 \, q^{3} + q^{2}\right)} x^{2}\right)} \left(-q\right)^{\frac{1}{3}}\right)} \sqrt{\frac{\left(-q\right)^{\frac{1}{3}}}{q}}}{x^{6}}\right) - 2 \, \left(-q\right)^{\frac{2}{3}} \log\left(\frac{\left(-q\right)^{\frac{2}{3}} {\left(q - 1\right)} x^{2} + 3 \, {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} {\left(q x - q\right)} \left(-q\right)^{\frac{1}{3}} + 3 \, {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} q}{x^{2}}\right) + \left(-q\right)^{\frac{2}{3}} \log\left(\frac{3 \, {\left({\left(2 \, q + 1\right)} x^{2} - 6 \, q x + 3 \, q\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} \left(-q\right)^{\frac{2}{3}} + 3 \, {\left({\left(q^{2} + 2 \, q\right)} x^{3} + 9 \, q^{2} x - {\left(7 \, q^{2} + 2 \, q\right)} x^{2} - 3 \, q^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} - {\left({\left(q^{2} + 7 \, q + 1\right)} x^{4} - 18 \, {\left(q^{2} + q\right)} x^{3} - 36 \, q^{2} x + 9 \, {\left(5 \, q^{2} + q\right)} x^{2} + 9 \, q^{2}\right)} \left(-q\right)^{\frac{1}{3}}}{x^{4}}\right)}{12 \, q}, \frac{2 \, \sqrt{3} q \sqrt{-\frac{\left(-q\right)^{\frac{1}{3}}}{q}} \arctan\left(\frac{\sqrt{3} {\left(6 \, {\left({\left(2 \, q^{2} - q - 1\right)} x^{4} - 6 \, {\left(q^{2} - q\right)} x^{3} + 3 \, {\left(q^{2} - q\right)} x^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} \left(-q\right)^{\frac{2}{3}} - 6 \, {\left({\left(q^{3} + 7 \, q^{2} + q\right)} x^{5} - {\left(19 \, q^{3} + 25 \, q^{2} + q\right)} x^{4} + 45 \, q^{3} x + 9 \, {\left(7 \, q^{3} + 3 \, q^{2}\right)} x^{3} - 9 \, q^{3} - 9 \, {\left(9 \, q^{3} + q^{2}\right)} x^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} - {\left({\left(q^{3} - 12 \, q^{2} - 15 \, q - 1\right)} x^{6} + 18 \, {\left(q^{3} + 6 \, q^{2} + 2 \, q\right)} x^{5} - 9 \, {\left(17 \, q^{3} + 26 \, q^{2} + 2 \, q\right)} x^{4} + 162 \, q^{3} x + 180 \, {\left(2 \, q^{3} + q^{2}\right)} x^{3} - 27 \, q^{3} - 45 \, {\left(8 \, q^{3} + q^{2}\right)} x^{2}\right)} \left(-q\right)^{\frac{1}{3}}\right)} \sqrt{-\frac{\left(-q\right)^{\frac{1}{3}}}{q}}}{3 \, {\left({\left(q^{3} + 24 \, q^{2} + 3 \, q - 1\right)} x^{6} - 54 \, {\left(q^{3} + 2 \, q^{2}\right)} x^{5} + 81 \, {\left(3 \, q^{3} + 2 \, q^{2}\right)} x^{4} - 162 \, q^{3} x - 108 \, {\left(4 \, q^{3} + q^{2}\right)} x^{3} + 27 \, q^{3} + 27 \, {\left(14 \, q^{3} + q^{2}\right)} x^{2}\right)}}\right) - 2 \, \left(-q\right)^{\frac{2}{3}} \log\left(\frac{\left(-q\right)^{\frac{2}{3}} {\left(q - 1\right)} x^{2} + 3 \, {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} {\left(q x - q\right)} \left(-q\right)^{\frac{1}{3}} + 3 \, {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} q}{x^{2}}\right) + \left(-q\right)^{\frac{2}{3}} \log\left(\frac{3 \, {\left({\left(2 \, q + 1\right)} x^{2} - 6 \, q x + 3 \, q\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{2}{3}} \left(-q\right)^{\frac{2}{3}} + 3 \, {\left({\left(q^{2} + 2 \, q\right)} x^{3} + 9 \, q^{2} x - {\left(7 \, q^{2} + 2 \, q\right)} x^{2} - 3 \, q^{2}\right)} {\left(-{\left(2 \, q + 1\right)} x^{2} + x^{3} + 3 \, q x - q\right)}^{\frac{1}{3}} - {\left({\left(q^{2} + 7 \, q + 1\right)} x^{4} - 18 \, {\left(q^{2} + q\right)} x^{3} - 36 \, q^{2} x + 9 \, {\left(5 \, q^{2} + q\right)} x^{2} + 9 \, q^{2}\right)} \left(-q\right)^{\frac{1}{3}}}{x^{4}}\right)}{12 \, q}\right]"," ",0,"[1/12*(sqrt(3)*q*sqrt((-q)^(1/3)/q)*log(-((q^3 - 30*q^2 - 51*q - 1)*x^6 + 54*(q^3 + 6*q^2 + 2*q)*x^5 - 27*(17*q^3 + 26*q^2 + 2*q)*x^4 + 486*q^3*x + 540*(2*q^3 + q^2)*x^3 - 81*q^3 - 135*(8*q^3 + q^2)*x^2 + 9*((2*q^2 - q - 1)*x^4 - 6*(q^2 - q)*x^3 + 3*(q^2 - q)*x^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*(-q)^(1/3) + 9*((q^2 + 7*q + 1)*x^5 - (19*q^2 + 25*q + 1)*x^4 + 9*(7*q^2 + 3*q)*x^3 + 45*q^2*x - 9*(9*q^2 + q)*x^2 - 9*q^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3)*(-q)^(2/3) + sqrt(3)*(3*((4*q^2 + 13*q + 1)*x^4 - 6*(7*q^2 + 5*q)*x^3 - 72*q^2*x + 3*(31*q^2 + 5*q)*x^2 + 18*q^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*(-q)^(2/3) + 3*((q^3 - 5*q^2 - 5*q)*x^5 + 5*(q^3 + 7*q^2 + q)*x^4 - 45*q^3*x - 45*(q^3 + q^2)*x^3 + 9*q^3 + 15*(5*q^3 + q^2)*x^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3) + ((q^3 + 24*q^2 + 3*q - 1)*x^6 - 54*(q^3 + 2*q^2)*x^5 + 81*(3*q^3 + 2*q^2)*x^4 - 162*q^3*x - 108*(4*q^3 + q^2)*x^3 + 27*q^3 + 27*(14*q^3 + q^2)*x^2)*(-q)^(1/3))*sqrt((-q)^(1/3)/q))/x^6) - 2*(-q)^(2/3)*log(((-q)^(2/3)*(q - 1)*x^2 + 3*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3)*(q*x - q)*(-q)^(1/3) + 3*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*q)/x^2) + (-q)^(2/3)*log((3*((2*q + 1)*x^2 - 6*q*x + 3*q)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*(-q)^(2/3) + 3*((q^2 + 2*q)*x^3 + 9*q^2*x - (7*q^2 + 2*q)*x^2 - 3*q^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3) - ((q^2 + 7*q + 1)*x^4 - 18*(q^2 + q)*x^3 - 36*q^2*x + 9*(5*q^2 + q)*x^2 + 9*q^2)*(-q)^(1/3))/x^4))/q, 1/12*(2*sqrt(3)*q*sqrt(-(-q)^(1/3)/q)*arctan(1/3*sqrt(3)*(6*((2*q^2 - q - 1)*x^4 - 6*(q^2 - q)*x^3 + 3*(q^2 - q)*x^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*(-q)^(2/3) - 6*((q^3 + 7*q^2 + q)*x^5 - (19*q^3 + 25*q^2 + q)*x^4 + 45*q^3*x + 9*(7*q^3 + 3*q^2)*x^3 - 9*q^3 - 9*(9*q^3 + q^2)*x^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3) - ((q^3 - 12*q^2 - 15*q - 1)*x^6 + 18*(q^3 + 6*q^2 + 2*q)*x^5 - 9*(17*q^3 + 26*q^2 + 2*q)*x^4 + 162*q^3*x + 180*(2*q^3 + q^2)*x^3 - 27*q^3 - 45*(8*q^3 + q^2)*x^2)*(-q)^(1/3))*sqrt(-(-q)^(1/3)/q)/((q^3 + 24*q^2 + 3*q - 1)*x^6 - 54*(q^3 + 2*q^2)*x^5 + 81*(3*q^3 + 2*q^2)*x^4 - 162*q^3*x - 108*(4*q^3 + q^2)*x^3 + 27*q^3 + 27*(14*q^3 + q^2)*x^2)) - 2*(-q)^(2/3)*log(((-q)^(2/3)*(q - 1)*x^2 + 3*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3)*(q*x - q)*(-q)^(1/3) + 3*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*q)/x^2) + (-q)^(2/3)*log((3*((2*q + 1)*x^2 - 6*q*x + 3*q)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(2/3)*(-q)^(2/3) + 3*((q^2 + 2*q)*x^3 + 9*q^2*x - (7*q^2 + 2*q)*x^2 - 3*q^2)*(-(2*q + 1)*x^2 + x^3 + 3*q*x - q)^(1/3) - ((q^2 + 7*q + 1)*x^4 - 18*(q^2 + q)*x^3 - 36*q^2*x + 9*(5*q^2 + q)*x^2 + 9*q^2)*(-q)^(1/3))/x^4))/q]","B",0
44,-1,0,0,0.000000," ","integrate((2-(1+k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(1-(1+k)*x),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
45,-1,0,0,0.000000," ","integrate((-k*x+1)/(1+(-2+k)*x)/((1-x)*x*(-k*x+1))^(2/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
46,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(x^2-x+1)/(-x^3+1)^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
47,1,957,0,1.753858," ","integrate(1/(3-2*x)^(11/2)/(2*x^2+x+1)^5,x, algorithm=""fricas"")","\frac{2263908918780 \cdot 22241759018113166^{\frac{1}{4}} \sqrt{79716926} \sqrt{14} \sqrt{7} {\left(512 \, x^{13} - 2816 \, x^{12} + 5632 \, x^{11} - 5888 \, x^{10} + 6848 \, x^{9} - 8992 \, x^{8} + 6112 \, x^{7} - 4240 \, x^{6} + 4994 \, x^{5} - 1707 \, x^{4} + 936 \, x^{3} - 1242 \, x^{2} - 162 \, x - 243\right)} \sqrt{21292357711 \, \sqrt{14} + 81630132224} \arctan\left(\frac{1}{10052187156951869469526908685753437228729401815040} \cdot 22241759018113166^{\frac{3}{4}} \sqrt{12577271771} \sqrt{79716926} \sqrt{-2089731384934400 \cdot 22241759018113166^{\frac{1}{4}} \sqrt{79716926} \sqrt{-2 \, x + 3} \sqrt{21292357711 \, \sqrt{14} + 81630132224} {\left(7645 \, \sqrt{14} - 115739\right)} - 4190418993502514995568679111884800 \, x + 2095209496751257497784339555942400 \, \sqrt{14} + 6285628490253772493353018667827200} {\left(115739 \, \sqrt{14} \sqrt{7} - 107030 \, \sqrt{7}\right)} \sqrt{21292357711 \, \sqrt{14} + 81630132224} - \frac{1}{1958184534851295802906658902} \cdot 22241759018113166^{\frac{3}{4}} \sqrt{79716926} {\left(115739 \, \sqrt{14} \sqrt{7} - 107030 \, \sqrt{7}\right)} \sqrt{-2 \, x + 3} \sqrt{21292357711 \, \sqrt{14} + 81630132224} - \frac{2}{7} \, \sqrt{14} \sqrt{7} - \sqrt{7}\right) + 2263908918780 \cdot 22241759018113166^{\frac{1}{4}} \sqrt{79716926} \sqrt{14} \sqrt{7} {\left(512 \, x^{13} - 2816 \, x^{12} + 5632 \, x^{11} - 5888 \, x^{10} + 6848 \, x^{9} - 8992 \, x^{8} + 6112 \, x^{7} - 4240 \, x^{6} + 4994 \, x^{5} - 1707 \, x^{4} + 936 \, x^{3} - 1242 \, x^{2} - 162 \, x - 243\right)} \sqrt{21292357711 \, \sqrt{14} + 81630132224} \arctan\left(\frac{1}{24628619072593968384668700756050455442} \cdot 22241759018113166^{\frac{3}{4}} \sqrt{12577271771} \sqrt{22241759018113166^{\frac{1}{4}} \sqrt{79716926} \sqrt{-2 \, x + 3} \sqrt{21292357711 \, \sqrt{14} + 81630132224} {\left(7645 \, \sqrt{14} - 115739\right)} - 2005242886101391892 \, x + 1002621443050695946 \, \sqrt{14} + 3007864329152087838} {\left(115739 \, \sqrt{14} \sqrt{7} - 107030 \, \sqrt{7}\right)} \sqrt{21292357711 \, \sqrt{14} + 81630132224} - \frac{1}{1958184534851295802906658902} \cdot 22241759018113166^{\frac{3}{4}} \sqrt{79716926} {\left(115739 \, \sqrt{14} \sqrt{7} - 107030 \, \sqrt{7}\right)} \sqrt{-2 \, x + 3} \sqrt{21292357711 \, \sqrt{14} + 81630132224} + \frac{2}{7} \, \sqrt{14} \sqrt{7} + \sqrt{7}\right) + 315 \cdot 22241759018113166^{\frac{1}{4}} \sqrt{79716926} {\left(41794627698688 \, x^{13} - 229870452342784 \, x^{12} + 459740904685568 \, x^{11} - 480638218534912 \, x^{10} + 559003145469952 \, x^{9} - 734018148958208 \, x^{8} + 498923368153088 \, x^{7} - 346111760629760 \, x^{6} + 407660880326656 \, x^{5} - 139342635706368 \, x^{4} + 76405803761664 \, x^{3} - 101384624222208 \, x^{2} - 21292357711 \, \sqrt{14} {\left(512 \, x^{13} - 2816 \, x^{12} + 5632 \, x^{11} - 5888 \, x^{10} + 6848 \, x^{9} - 8992 \, x^{8} + 6112 \, x^{7} - 4240 \, x^{6} + 4994 \, x^{5} - 1707 \, x^{4} + 936 \, x^{3} - 1242 \, x^{2} - 162 \, x - 243\right)} - 13224081420288 \, x - 19836122130432\right)} \sqrt{21292357711 \, \sqrt{14} + 81630132224} \log\left(\frac{2089731384934400}{12577271771} \cdot 22241759018113166^{\frac{1}{4}} \sqrt{79716926} \sqrt{-2 \, x + 3} \sqrt{21292357711 \, \sqrt{14} + 81630132224} {\left(7645 \, \sqrt{14} - 115739\right)} - 333173924345386159308800 \, x + 166586962172693079654400 \, \sqrt{14} + 499760886518079238963200\right) - 315 \cdot 22241759018113166^{\frac{1}{4}} \sqrt{79716926} {\left(41794627698688 \, x^{13} - 229870452342784 \, x^{12} + 459740904685568 \, x^{11} - 480638218534912 \, x^{10} + 559003145469952 \, x^{9} - 734018148958208 \, x^{8} + 498923368153088 \, x^{7} - 346111760629760 \, x^{6} + 407660880326656 \, x^{5} - 139342635706368 \, x^{4} + 76405803761664 \, x^{3} - 101384624222208 \, x^{2} - 21292357711 \, \sqrt{14} {\left(512 \, x^{13} - 2816 \, x^{12} + 5632 \, x^{11} - 5888 \, x^{10} + 6848 \, x^{9} - 8992 \, x^{8} + 6112 \, x^{7} - 4240 \, x^{6} + 4994 \, x^{5} - 1707 \, x^{4} + 936 \, x^{3} - 1242 \, x^{2} - 162 \, x - 243\right)} - 13224081420288 \, x - 19836122130432\right)} \sqrt{21292357711 \, \sqrt{14} + 81630132224} \log\left(-\frac{2089731384934400}{12577271771} \cdot 22241759018113166^{\frac{1}{4}} \sqrt{79716926} \sqrt{-2 \, x + 3} \sqrt{21292357711 \, \sqrt{14} + 81630132224} {\left(7645 \, \sqrt{14} - 115739\right)} - 333173924345386159308800 \, x + 166586962172693079654400 \, \sqrt{14} + 499760886518079238963200\right) + 393027605675872810832 \, {\left(88070400 \, x^{12} - 677249280 \, x^{11} + 1873554048 \, x^{10} - 2443779648 \, x^{9} + 2343370048 \, x^{8} - 3106712560 \, x^{7} + 2888625656 \, x^{6} - 1470758860 \, x^{5} + 1627773523 \, x^{4} - 1073855156 \, x^{3} + 135202154 \, x^{2} - 429812744 \, x + 40289347\right)} \sqrt{-2 \, x + 3}}{852282865707923134247251378176 \, {\left(512 \, x^{13} - 2816 \, x^{12} + 5632 \, x^{11} - 5888 \, x^{10} + 6848 \, x^{9} - 8992 \, x^{8} + 6112 \, x^{7} - 4240 \, x^{6} + 4994 \, x^{5} - 1707 \, x^{4} + 936 \, x^{3} - 1242 \, x^{2} - 162 \, x - 243\right)}}"," ",0,"1/852282865707923134247251378176*(2263908918780*22241759018113166^(1/4)*sqrt(79716926)*sqrt(14)*sqrt(7)*(512*x^13 - 2816*x^12 + 5632*x^11 - 5888*x^10 + 6848*x^9 - 8992*x^8 + 6112*x^7 - 4240*x^6 + 4994*x^5 - 1707*x^4 + 936*x^3 - 1242*x^2 - 162*x - 243)*sqrt(21292357711*sqrt(14) + 81630132224)*arctan(1/10052187156951869469526908685753437228729401815040*22241759018113166^(3/4)*sqrt(12577271771)*sqrt(79716926)*sqrt(-2089731384934400*22241759018113166^(1/4)*sqrt(79716926)*sqrt(-2*x + 3)*sqrt(21292357711*sqrt(14) + 81630132224)*(7645*sqrt(14) - 115739) - 4190418993502514995568679111884800*x + 2095209496751257497784339555942400*sqrt(14) + 6285628490253772493353018667827200)*(115739*sqrt(14)*sqrt(7) - 107030*sqrt(7))*sqrt(21292357711*sqrt(14) + 81630132224) - 1/1958184534851295802906658902*22241759018113166^(3/4)*sqrt(79716926)*(115739*sqrt(14)*sqrt(7) - 107030*sqrt(7))*sqrt(-2*x + 3)*sqrt(21292357711*sqrt(14) + 81630132224) - 2/7*sqrt(14)*sqrt(7) - sqrt(7)) + 2263908918780*22241759018113166^(1/4)*sqrt(79716926)*sqrt(14)*sqrt(7)*(512*x^13 - 2816*x^12 + 5632*x^11 - 5888*x^10 + 6848*x^9 - 8992*x^8 + 6112*x^7 - 4240*x^6 + 4994*x^5 - 1707*x^4 + 936*x^3 - 1242*x^2 - 162*x - 243)*sqrt(21292357711*sqrt(14) + 81630132224)*arctan(1/24628619072593968384668700756050455442*22241759018113166^(3/4)*sqrt(12577271771)*sqrt(22241759018113166^(1/4)*sqrt(79716926)*sqrt(-2*x + 3)*sqrt(21292357711*sqrt(14) + 81630132224)*(7645*sqrt(14) - 115739) - 2005242886101391892*x + 1002621443050695946*sqrt(14) + 3007864329152087838)*(115739*sqrt(14)*sqrt(7) - 107030*sqrt(7))*sqrt(21292357711*sqrt(14) + 81630132224) - 1/1958184534851295802906658902*22241759018113166^(3/4)*sqrt(79716926)*(115739*sqrt(14)*sqrt(7) - 107030*sqrt(7))*sqrt(-2*x + 3)*sqrt(21292357711*sqrt(14) + 81630132224) + 2/7*sqrt(14)*sqrt(7) + sqrt(7)) + 315*22241759018113166^(1/4)*sqrt(79716926)*(41794627698688*x^13 - 229870452342784*x^12 + 459740904685568*x^11 - 480638218534912*x^10 + 559003145469952*x^9 - 734018148958208*x^8 + 498923368153088*x^7 - 346111760629760*x^6 + 407660880326656*x^5 - 139342635706368*x^4 + 76405803761664*x^3 - 101384624222208*x^2 - 21292357711*sqrt(14)*(512*x^13 - 2816*x^12 + 5632*x^11 - 5888*x^10 + 6848*x^9 - 8992*x^8 + 6112*x^7 - 4240*x^6 + 4994*x^5 - 1707*x^4 + 936*x^3 - 1242*x^2 - 162*x - 243) - 13224081420288*x - 19836122130432)*sqrt(21292357711*sqrt(14) + 81630132224)*log(2089731384934400/12577271771*22241759018113166^(1/4)*sqrt(79716926)*sqrt(-2*x + 3)*sqrt(21292357711*sqrt(14) + 81630132224)*(7645*sqrt(14) - 115739) - 333173924345386159308800*x + 166586962172693079654400*sqrt(14) + 499760886518079238963200) - 315*22241759018113166^(1/4)*sqrt(79716926)*(41794627698688*x^13 - 229870452342784*x^12 + 459740904685568*x^11 - 480638218534912*x^10 + 559003145469952*x^9 - 734018148958208*x^8 + 498923368153088*x^7 - 346111760629760*x^6 + 407660880326656*x^5 - 139342635706368*x^4 + 76405803761664*x^3 - 101384624222208*x^2 - 21292357711*sqrt(14)*(512*x^13 - 2816*x^12 + 5632*x^11 - 5888*x^10 + 6848*x^9 - 8992*x^8 + 6112*x^7 - 4240*x^6 + 4994*x^5 - 1707*x^4 + 936*x^3 - 1242*x^2 - 162*x - 243) - 13224081420288*x - 19836122130432)*sqrt(21292357711*sqrt(14) + 81630132224)*log(-2089731384934400/12577271771*22241759018113166^(1/4)*sqrt(79716926)*sqrt(-2*x + 3)*sqrt(21292357711*sqrt(14) + 81630132224)*(7645*sqrt(14) - 115739) - 333173924345386159308800*x + 166586962172693079654400*sqrt(14) + 499760886518079238963200) + 393027605675872810832*(88070400*x^12 - 677249280*x^11 + 1873554048*x^10 - 2443779648*x^9 + 2343370048*x^8 - 3106712560*x^7 + 2888625656*x^6 - 1470758860*x^5 + 1627773523*x^4 - 1073855156*x^3 + 135202154*x^2 - 429812744*x + 40289347)*sqrt(-2*x + 3))/(512*x^13 - 2816*x^12 + 5632*x^11 - 5888*x^10 + 6848*x^9 - 8992*x^8 + 6112*x^7 - 4240*x^6 + 4994*x^5 - 1707*x^4 + 936*x^3 - 1242*x^2 - 162*x - 243)","B",0
48,1,1563,0,2.218225," ","integrate(1/(3-2*x)^(21/2)/(2*x^2+x+1)^10,x, algorithm=""fricas"")","\frac{4732002380085251586622550100 \cdot 4787936175075825342943147314686^{\frac{1}{4}} \sqrt{1169607525756986} \sqrt{14} \sqrt{7} {\left(524288 \, x^{28} - 5505024 \, x^{27} + 24772608 \, x^{26} - 64684032 \, x^{25} + 119734272 \, x^{24} - 194052096 \, x^{23} + 295206912 \, x^{22} - 386777088 \, x^{21} + 449261568 \, x^{20} - 515594240 \, x^{19} + 540503040 \, x^{18} - 496581120 \, x^{17} + 467712000 \, x^{16} - 411828480 \, x^{15} + 303534720 \, x^{14} - 248434368 \, x^{13} + 186495624 \, x^{12} - 105219828 \, x^{11} + 83621482 \, x^{10} - 49793667 \, x^{9} + 19105065 \, x^{8} - 20036484 \, x^{7} + 5497632 \, x^{6} - 2235114 \, x^{5} + 3276126 \, x^{4} + 734832 \, x^{3} + 826686 \, x^{2} + 137781 \, x + 59049\right)} \sqrt{327571850528462403199 \, \sqrt{14} + 1226422380928157351936} \arctan\left(\frac{1}{36562170851931970248855340113387035354417457241870626866024945379489008832725311219252} \cdot 4787936175075825342943147314686^{\frac{3}{4}} \sqrt{2776387167632535361} \sqrt{12865682783326846} \sqrt{1169607525756986} \sqrt{4787936175075825342943147314686^{\frac{1}{4}} \sqrt{1169607525756986} \sqrt{-2 \, x + 3} \sqrt{327571850528462403199 \, \sqrt{14} + 1226422380928157351936} {\left(2148932869 \, \sqrt{14} - 9756589235\right)} - 71440233164918992209696826631202812 \, x + 28280279689505005187146 \, \sqrt{22335021272086100802556094} + 107160349747378488314545239946804218} {\left(9756589235 \, \sqrt{14} \sqrt{7} - 30085060166 \, \sqrt{7}\right)} \sqrt{327571850528462403199 \, \sqrt{14} + 1226422380928157351936} - \frac{1}{1023573670806157676669100144258228441327447900096742} \cdot 4787936175075825342943147314686^{\frac{3}{4}} \sqrt{1169607525756986} {\left(9756589235 \, \sqrt{14} \sqrt{7} - 30085060166 \, \sqrt{7}\right)} \sqrt{-2 \, x + 3} \sqrt{327571850528462403199 \, \sqrt{14} + 1226422380928157351936} + \frac{2}{7} \, \sqrt{14} \sqrt{7} + \sqrt{7}\right) + 4732002380085251586622550100 \cdot 4787936175075825342943147314686^{\frac{1}{4}} \sqrt{1169607525756986} \sqrt{14} \sqrt{7} {\left(524288 \, x^{28} - 5505024 \, x^{27} + 24772608 \, x^{26} - 64684032 \, x^{25} + 119734272 \, x^{24} - 194052096 \, x^{23} + 295206912 \, x^{22} - 386777088 \, x^{21} + 449261568 \, x^{20} - 515594240 \, x^{19} + 540503040 \, x^{18} - 496581120 \, x^{17} + 467712000 \, x^{16} - 411828480 \, x^{15} + 303534720 \, x^{14} - 248434368 \, x^{13} + 186495624 \, x^{12} - 105219828 \, x^{11} + 83621482 \, x^{10} - 49793667 \, x^{9} + 19105065 \, x^{8} - 20036484 \, x^{7} + 5497632 \, x^{6} - 2235114 \, x^{5} + 3276126 \, x^{4} + 734832 \, x^{3} + 826686 \, x^{2} + 137781 \, x + 59049\right)} \sqrt{327571850528462403199 \, \sqrt{14} + 1226422380928157351936} \arctan\left(\frac{1}{39296670234816303076555330542603297083388480635973027797585697454399143598928370335464344780800} \cdot 4787936175075825342943147314686^{\frac{3}{4}} \sqrt{2776387167632535361} \sqrt{1169607525756986} \sqrt{-14862107440409842545228890767360000 \cdot 4787936175075825342943147314686^{\frac{1}{4}} \sqrt{1169607525756986} \sqrt{-2 \, x + 3} \sqrt{327571850528462403199 \, \sqrt{14} + 1226422380928157351936} {\left(2148932869 \, \sqrt{14} - 9756589235\right)} - 1061752420864956548109093061495542399038192585561809435358469816320000 \, x + 420304555190263689316852795001664341102416628348354560000 \, \sqrt{22335021272086100802556094} + 1592628631297434822163639592243313598557288878342714153037704724480000} {\left(9756589235 \, \sqrt{14} \sqrt{7} - 30085060166 \, \sqrt{7}\right)} \sqrt{327571850528462403199 \, \sqrt{14} + 1226422380928157351936} - \frac{1}{1023573670806157676669100144258228441327447900096742} \cdot 4787936175075825342943147314686^{\frac{3}{4}} \sqrt{1169607525756986} {\left(9756589235 \, \sqrt{14} \sqrt{7} - 30085060166 \, \sqrt{7}\right)} \sqrt{-2 \, x + 3} \sqrt{327571850528462403199 \, \sqrt{14} + 1226422380928157351936} - \frac{2}{7} \, \sqrt{14} \sqrt{7} - \sqrt{7}\right) + 271150425 \cdot 4787936175075825342943147314686^{\frac{1}{4}} \sqrt{1169607525756986} {\left(642998537252061761731821568 \, x^{28} - 6751484641146648498184126464 \, x^{27} + 30381680885159918241828569088 \, x^{26} - 79329944533473119853663485952 \, x^{25} + 146844790944939604835504750592 \, x^{24} - 237989833600419359560990457856 \, x^{23} + 362048363881489025715123781632 \, x^{22} - 474352077153419437787597242368 \, x^{21} + 550984441886077267281495195648 \, x^{20} - 632336315413643784471854448640 \, x^{19} + 662885025215707070319757885440 \, x^{18} - 609018199514371017360613048320 \, x^{17} + 573612464628670331388690432000 \, x^{16} - 505075664975624031448627937280 \, x^{15} + 372261773996761581935835217920 \, x^{14} - 304685469106942025132773736448 \, x^{13} + 228722407218762404519491928064 \, x^{12} - 129043951976611196927641387008 \, x^{11} + 102555257051181053298083889152 \, x^{10} - 61068067637283818105902989312 \, x^{9} + 23430879305087206538965155840 \, x^{8} - 24573192412708929931548033024 \, x^{7} + 6742418926906827559038615552 \, x^{6} - 2741193833525857491515080704 \, x^{5} + 4017914249140640432768679936 \, x^{4} + 901214411022199723237834752 \, x^{3} + 1013866212399974688642564096 \, x^{2} - 327571850528462403199 \, \sqrt{14} {\left(524288 \, x^{28} - 5505024 \, x^{27} + 24772608 \, x^{26} - 64684032 \, x^{25} + 119734272 \, x^{24} - 194052096 \, x^{23} + 295206912 \, x^{22} - 386777088 \, x^{21} + 449261568 \, x^{20} - 515594240 \, x^{19} + 540503040 \, x^{18} - 496581120 \, x^{17} + 467712000 \, x^{16} - 411828480 \, x^{15} + 303534720 \, x^{14} - 248434368 \, x^{13} + 186495624 \, x^{12} - 105219828 \, x^{11} + 83621482 \, x^{10} - 49793667 \, x^{9} + 19105065 \, x^{8} - 20036484 \, x^{7} + 5497632 \, x^{6} - 2235114 \, x^{5} + 3276126 \, x^{4} + 734832 \, x^{3} + 826686 \, x^{2} + 137781 \, x + 59049\right)} + 168977702066662448107094016 \, x + 72419015171426763474468864\right)} \sqrt{327571850528462403199 \, \sqrt{14} + 1226422380928157351936} \log\left(\frac{14862107440409842545228890767360000}{2776387167632535361} \cdot 4787936175075825342943147314686^{\frac{1}{4}} \sqrt{1169607525756986} \sqrt{-2 \, x + 3} \sqrt{327571850528462403199 \, \sqrt{14} + 1226422380928157351936} {\left(2148932869 \, \sqrt{14} - 9756589235\right)} - 382422319640069460132720868272698184789257093120000 \, x + 151385426388014656165701481356328960000 \, \sqrt{22335021272086100802556094} + 573633479460104190199081302409047277183885639680000\right) - 271150425 \cdot 4787936175075825342943147314686^{\frac{1}{4}} \sqrt{1169607525756986} {\left(642998537252061761731821568 \, x^{28} - 6751484641146648498184126464 \, x^{27} + 30381680885159918241828569088 \, x^{26} - 79329944533473119853663485952 \, x^{25} + 146844790944939604835504750592 \, x^{24} - 237989833600419359560990457856 \, x^{23} + 362048363881489025715123781632 \, x^{22} - 474352077153419437787597242368 \, x^{21} + 550984441886077267281495195648 \, x^{20} - 632336315413643784471854448640 \, x^{19} + 662885025215707070319757885440 \, x^{18} - 609018199514371017360613048320 \, x^{17} + 573612464628670331388690432000 \, x^{16} - 505075664975624031448627937280 \, x^{15} + 372261773996761581935835217920 \, x^{14} - 304685469106942025132773736448 \, x^{13} + 228722407218762404519491928064 \, x^{12} - 129043951976611196927641387008 \, x^{11} + 102555257051181053298083889152 \, x^{10} - 61068067637283818105902989312 \, x^{9} + 23430879305087206538965155840 \, x^{8} - 24573192412708929931548033024 \, x^{7} + 6742418926906827559038615552 \, x^{6} - 2741193833525857491515080704 \, x^{5} + 4017914249140640432768679936 \, x^{4} + 901214411022199723237834752 \, x^{3} + 1013866212399974688642564096 \, x^{2} - 327571850528462403199 \, \sqrt{14} {\left(524288 \, x^{28} - 5505024 \, x^{27} + 24772608 \, x^{26} - 64684032 \, x^{25} + 119734272 \, x^{24} - 194052096 \, x^{23} + 295206912 \, x^{22} - 386777088 \, x^{21} + 449261568 \, x^{20} - 515594240 \, x^{19} + 540503040 \, x^{18} - 496581120 \, x^{17} + 467712000 \, x^{16} - 411828480 \, x^{15} + 303534720 \, x^{14} - 248434368 \, x^{13} + 186495624 \, x^{12} - 105219828 \, x^{11} + 83621482 \, x^{10} - 49793667 \, x^{9} + 19105065 \, x^{8} - 20036484 \, x^{7} + 5497632 \, x^{6} - 2235114 \, x^{5} + 3276126 \, x^{4} + 734832 \, x^{3} + 826686 \, x^{2} + 137781 \, x + 59049\right)} + 168977702066662448107094016 \, x + 72419015171426763474468864\right)} \sqrt{327571850528462403199 \, \sqrt{14} + 1226422380928157351936} \log\left(-\frac{14862107440409842545228890767360000}{2776387167632535361} \cdot 4787936175075825342943147314686^{\frac{1}{4}} \sqrt{1169607525756986} \sqrt{-2 \, x + 3} \sqrt{327571850528462403199 \, \sqrt{14} + 1226422380928157351936} {\left(2148932869 \, \sqrt{14} - 9756589235\right)} - 382422319640069460132720868272698184789257093120000 \, x + 151385426388014656165701481356328960000 \, \sqrt{22335021272086100802556094} + 573633479460104190199081302409047277183885639680000\right) + 1272935063665829315736416183610522832 \, {\left(240031204937714427494400 \, x^{27} - 2621948941596237063782400 \, x^{26} + 12365045055896811105484800 \, x^{25} - 33969890064381284111155200 \, x^{24} + 65360120291258796757811200 \, x^{23} - 106701725825102321939251200 \, x^{22} + 162290307223249502039654400 \, x^{21} - 216634228326470609547509760 \, x^{20} + 253788172995391086570485760 \, x^{19} - 287279159180291305208156160 \, x^{18} + 304010591010966811155955200 \, x^{17} - 282644664539994827031006720 \, x^{16} + 258819256815163249845447936 \, x^{15} - 229408132984166521977166336 \, x^{14} + 172649692294614969274168896 \, x^{13} - 133312541377246386115890240 \, x^{12} + 102031573634317834547976132 \, x^{11} - 59791102681494117572149176 \, x^{10} + 41613884937255303086792337 \, x^{9} - 27246604251076689552043953 \, x^{8} + 10718131725916893151555068 \, x^{7} - 8685973988079840377705700 \, x^{6} + 3673303058277822225386926 \, x^{5} - 809990362095044210054958 \, x^{4} + 1362587089603925431664856 \, x^{3} + 111926768697602999806116 \, x^{2} + 205702452014540322797289 \, x - 4884417100172357749737\right)} \sqrt{-2 \, x + 3}}{1094755373086200603246995644663447631605361478665641987670016 \, {\left(524288 \, x^{28} - 5505024 \, x^{27} + 24772608 \, x^{26} - 64684032 \, x^{25} + 119734272 \, x^{24} - 194052096 \, x^{23} + 295206912 \, x^{22} - 386777088 \, x^{21} + 449261568 \, x^{20} - 515594240 \, x^{19} + 540503040 \, x^{18} - 496581120 \, x^{17} + 467712000 \, x^{16} - 411828480 \, x^{15} + 303534720 \, x^{14} - 248434368 \, x^{13} + 186495624 \, x^{12} - 105219828 \, x^{11} + 83621482 \, x^{10} - 49793667 \, x^{9} + 19105065 \, x^{8} - 20036484 \, x^{7} + 5497632 \, x^{6} - 2235114 \, x^{5} + 3276126 \, x^{4} + 734832 \, x^{3} + 826686 \, x^{2} + 137781 \, x + 59049\right)}}"," ",0,"1/1094755373086200603246995644663447631605361478665641987670016*(4732002380085251586622550100*4787936175075825342943147314686^(1/4)*sqrt(1169607525756986)*sqrt(14)*sqrt(7)*(524288*x^28 - 5505024*x^27 + 24772608*x^26 - 64684032*x^25 + 119734272*x^24 - 194052096*x^23 + 295206912*x^22 - 386777088*x^21 + 449261568*x^20 - 515594240*x^19 + 540503040*x^18 - 496581120*x^17 + 467712000*x^16 - 411828480*x^15 + 303534720*x^14 - 248434368*x^13 + 186495624*x^12 - 105219828*x^11 + 83621482*x^10 - 49793667*x^9 + 19105065*x^8 - 20036484*x^7 + 5497632*x^6 - 2235114*x^5 + 3276126*x^4 + 734832*x^3 + 826686*x^2 + 137781*x + 59049)*sqrt(327571850528462403199*sqrt(14) + 1226422380928157351936)*arctan(1/36562170851931970248855340113387035354417457241870626866024945379489008832725311219252*4787936175075825342943147314686^(3/4)*sqrt(2776387167632535361)*sqrt(12865682783326846)*sqrt(1169607525756986)*sqrt(4787936175075825342943147314686^(1/4)*sqrt(1169607525756986)*sqrt(-2*x + 3)*sqrt(327571850528462403199*sqrt(14) + 1226422380928157351936)*(2148932869*sqrt(14) - 9756589235) - 71440233164918992209696826631202812*x + 28280279689505005187146*sqrt(22335021272086100802556094) + 107160349747378488314545239946804218)*(9756589235*sqrt(14)*sqrt(7) - 30085060166*sqrt(7))*sqrt(327571850528462403199*sqrt(14) + 1226422380928157351936) - 1/1023573670806157676669100144258228441327447900096742*4787936175075825342943147314686^(3/4)*sqrt(1169607525756986)*(9756589235*sqrt(14)*sqrt(7) - 30085060166*sqrt(7))*sqrt(-2*x + 3)*sqrt(327571850528462403199*sqrt(14) + 1226422380928157351936) + 2/7*sqrt(14)*sqrt(7) + sqrt(7)) + 4732002380085251586622550100*4787936175075825342943147314686^(1/4)*sqrt(1169607525756986)*sqrt(14)*sqrt(7)*(524288*x^28 - 5505024*x^27 + 24772608*x^26 - 64684032*x^25 + 119734272*x^24 - 194052096*x^23 + 295206912*x^22 - 386777088*x^21 + 449261568*x^20 - 515594240*x^19 + 540503040*x^18 - 496581120*x^17 + 467712000*x^16 - 411828480*x^15 + 303534720*x^14 - 248434368*x^13 + 186495624*x^12 - 105219828*x^11 + 83621482*x^10 - 49793667*x^9 + 19105065*x^8 - 20036484*x^7 + 5497632*x^6 - 2235114*x^5 + 3276126*x^4 + 734832*x^3 + 826686*x^2 + 137781*x + 59049)*sqrt(327571850528462403199*sqrt(14) + 1226422380928157351936)*arctan(1/39296670234816303076555330542603297083388480635973027797585697454399143598928370335464344780800*4787936175075825342943147314686^(3/4)*sqrt(2776387167632535361)*sqrt(1169607525756986)*sqrt(-14862107440409842545228890767360000*4787936175075825342943147314686^(1/4)*sqrt(1169607525756986)*sqrt(-2*x + 3)*sqrt(327571850528462403199*sqrt(14) + 1226422380928157351936)*(2148932869*sqrt(14) - 9756589235) - 1061752420864956548109093061495542399038192585561809435358469816320000*x + 420304555190263689316852795001664341102416628348354560000*sqrt(22335021272086100802556094) + 1592628631297434822163639592243313598557288878342714153037704724480000)*(9756589235*sqrt(14)*sqrt(7) - 30085060166*sqrt(7))*sqrt(327571850528462403199*sqrt(14) + 1226422380928157351936) - 1/1023573670806157676669100144258228441327447900096742*4787936175075825342943147314686^(3/4)*sqrt(1169607525756986)*(9756589235*sqrt(14)*sqrt(7) - 30085060166*sqrt(7))*sqrt(-2*x + 3)*sqrt(327571850528462403199*sqrt(14) + 1226422380928157351936) - 2/7*sqrt(14)*sqrt(7) - sqrt(7)) + 271150425*4787936175075825342943147314686^(1/4)*sqrt(1169607525756986)*(642998537252061761731821568*x^28 - 6751484641146648498184126464*x^27 + 30381680885159918241828569088*x^26 - 79329944533473119853663485952*x^25 + 146844790944939604835504750592*x^24 - 237989833600419359560990457856*x^23 + 362048363881489025715123781632*x^22 - 474352077153419437787597242368*x^21 + 550984441886077267281495195648*x^20 - 632336315413643784471854448640*x^19 + 662885025215707070319757885440*x^18 - 609018199514371017360613048320*x^17 + 573612464628670331388690432000*x^16 - 505075664975624031448627937280*x^15 + 372261773996761581935835217920*x^14 - 304685469106942025132773736448*x^13 + 228722407218762404519491928064*x^12 - 129043951976611196927641387008*x^11 + 102555257051181053298083889152*x^10 - 61068067637283818105902989312*x^9 + 23430879305087206538965155840*x^8 - 24573192412708929931548033024*x^7 + 6742418926906827559038615552*x^6 - 2741193833525857491515080704*x^5 + 4017914249140640432768679936*x^4 + 901214411022199723237834752*x^3 + 1013866212399974688642564096*x^2 - 327571850528462403199*sqrt(14)*(524288*x^28 - 5505024*x^27 + 24772608*x^26 - 64684032*x^25 + 119734272*x^24 - 194052096*x^23 + 295206912*x^22 - 386777088*x^21 + 449261568*x^20 - 515594240*x^19 + 540503040*x^18 - 496581120*x^17 + 467712000*x^16 - 411828480*x^15 + 303534720*x^14 - 248434368*x^13 + 186495624*x^12 - 105219828*x^11 + 83621482*x^10 - 49793667*x^9 + 19105065*x^8 - 20036484*x^7 + 5497632*x^6 - 2235114*x^5 + 3276126*x^4 + 734832*x^3 + 826686*x^2 + 137781*x + 59049) + 168977702066662448107094016*x + 72419015171426763474468864)*sqrt(327571850528462403199*sqrt(14) + 1226422380928157351936)*log(14862107440409842545228890767360000/2776387167632535361*4787936175075825342943147314686^(1/4)*sqrt(1169607525756986)*sqrt(-2*x + 3)*sqrt(327571850528462403199*sqrt(14) + 1226422380928157351936)*(2148932869*sqrt(14) - 9756589235) - 382422319640069460132720868272698184789257093120000*x + 151385426388014656165701481356328960000*sqrt(22335021272086100802556094) + 573633479460104190199081302409047277183885639680000) - 271150425*4787936175075825342943147314686^(1/4)*sqrt(1169607525756986)*(642998537252061761731821568*x^28 - 6751484641146648498184126464*x^27 + 30381680885159918241828569088*x^26 - 79329944533473119853663485952*x^25 + 146844790944939604835504750592*x^24 - 237989833600419359560990457856*x^23 + 362048363881489025715123781632*x^22 - 474352077153419437787597242368*x^21 + 550984441886077267281495195648*x^20 - 632336315413643784471854448640*x^19 + 662885025215707070319757885440*x^18 - 609018199514371017360613048320*x^17 + 573612464628670331388690432000*x^16 - 505075664975624031448627937280*x^15 + 372261773996761581935835217920*x^14 - 304685469106942025132773736448*x^13 + 228722407218762404519491928064*x^12 - 129043951976611196927641387008*x^11 + 102555257051181053298083889152*x^10 - 61068067637283818105902989312*x^9 + 23430879305087206538965155840*x^8 - 24573192412708929931548033024*x^7 + 6742418926906827559038615552*x^6 - 2741193833525857491515080704*x^5 + 4017914249140640432768679936*x^4 + 901214411022199723237834752*x^3 + 1013866212399974688642564096*x^2 - 327571850528462403199*sqrt(14)*(524288*x^28 - 5505024*x^27 + 24772608*x^26 - 64684032*x^25 + 119734272*x^24 - 194052096*x^23 + 295206912*x^22 - 386777088*x^21 + 449261568*x^20 - 515594240*x^19 + 540503040*x^18 - 496581120*x^17 + 467712000*x^16 - 411828480*x^15 + 303534720*x^14 - 248434368*x^13 + 186495624*x^12 - 105219828*x^11 + 83621482*x^10 - 49793667*x^9 + 19105065*x^8 - 20036484*x^7 + 5497632*x^6 - 2235114*x^5 + 3276126*x^4 + 734832*x^3 + 826686*x^2 + 137781*x + 59049) + 168977702066662448107094016*x + 72419015171426763474468864)*sqrt(327571850528462403199*sqrt(14) + 1226422380928157351936)*log(-14862107440409842545228890767360000/2776387167632535361*4787936175075825342943147314686^(1/4)*sqrt(1169607525756986)*sqrt(-2*x + 3)*sqrt(327571850528462403199*sqrt(14) + 1226422380928157351936)*(2148932869*sqrt(14) - 9756589235) - 382422319640069460132720868272698184789257093120000*x + 151385426388014656165701481356328960000*sqrt(22335021272086100802556094) + 573633479460104190199081302409047277183885639680000) + 1272935063665829315736416183610522832*(240031204937714427494400*x^27 - 2621948941596237063782400*x^26 + 12365045055896811105484800*x^25 - 33969890064381284111155200*x^24 + 65360120291258796757811200*x^23 - 106701725825102321939251200*x^22 + 162290307223249502039654400*x^21 - 216634228326470609547509760*x^20 + 253788172995391086570485760*x^19 - 287279159180291305208156160*x^18 + 304010591010966811155955200*x^17 - 282644664539994827031006720*x^16 + 258819256815163249845447936*x^15 - 229408132984166521977166336*x^14 + 172649692294614969274168896*x^13 - 133312541377246386115890240*x^12 + 102031573634317834547976132*x^11 - 59791102681494117572149176*x^10 + 41613884937255303086792337*x^9 - 27246604251076689552043953*x^8 + 10718131725916893151555068*x^7 - 8685973988079840377705700*x^6 + 3673303058277822225386926*x^5 - 809990362095044210054958*x^4 + 1362587089603925431664856*x^3 + 111926768697602999806116*x^2 + 205702452014540322797289*x - 4884417100172357749737)*sqrt(-2*x + 3))/(524288*x^28 - 5505024*x^27 + 24772608*x^26 - 64684032*x^25 + 119734272*x^24 - 194052096*x^23 + 295206912*x^22 - 386777088*x^21 + 449261568*x^20 - 515594240*x^19 + 540503040*x^18 - 496581120*x^17 + 467712000*x^16 - 411828480*x^15 + 303534720*x^14 - 248434368*x^13 + 186495624*x^12 - 105219828*x^11 + 83621482*x^10 - 49793667*x^9 + 19105065*x^8 - 20036484*x^7 + 5497632*x^6 - 2235114*x^5 + 3276126*x^4 + 734832*x^3 + 826686*x^2 + 137781*x + 59049)","B",0
49,1,2763,0,178.079181," ","integrate(1/(3-2*x)^(41/2)/(2*x^2+x+1)^20,x, algorithm=""fricas"")","\frac{616525316537858546962128448983043227187951381815778781478549978900 \cdot 579590499192185855665304541951571706717845859384545414208024478076585205782332794174344701326^{\frac{1}{4}} \sqrt{12868460882463048970358421717432178503450051394} \sqrt{14} \sqrt{7} {\left(549755813888 \, x^{58} - 11269994184704 \, x^{57} + 107064944754688 \, x^{56} - 630638638006272 \, x^{55} + 2618521301286912 \, x^{54} - 8342252417974272 \, x^{53} + 21849572376576000 \, x^{52} - 49684091485814784 \, x^{51} + 101394501297242112 \, x^{50} - 188583312363618304 \, x^{49} + 323261995581177856 \, x^{48} - 517079841212727296 \, x^{47} + 778117896260812800 \, x^{46} - 1105641165387988992 \, x^{45} + 1491287028233404416 \, x^{44} - 1919929663119949824 \, x^{43} + 2363050939901804544 \, x^{42} - 2786274020645928960 \, x^{41} + 3161145685194047488 \, x^{40} - 3453753931369283584 \, x^{39} + 3634098467102523392 \, x^{38} - 3697893960325791744 \, x^{37} + 3640651752731836416 \, x^{36} - 3461798212247617536 \, x^{35} + 3194540251789393920 \, x^{34} - 2861544579495297024 \, x^{33} + 2477632938217930752 \, x^{32} - 2088430257127768064 \, x^{31} + 1712761005459316736 \, x^{30} - 1355447485390974976 \, x^{29} + 1048940886155151360 \, x^{28} - 790511024135089152 \, x^{27} + 571750925528393856 \, x^{26} - 408374103192240192 \, x^{25} + 282845069599813728 \, x^{24} - 186113897194906128 \, x^{23} + 123982890381352520 \, x^{22} - 78116367732251996 \, x^{21} + 46488580159296898 \, x^{20} - 29591055660829971 \, x^{19} + 16200795673453545 \, x^{18} - 8941894120163277 \, x^{17} + 5578893209169441 \, x^{16} - 2296849711499532 \, x^{15} + 1448289882400788 \, x^{14} - 756896247319212 \, x^{13} + 182213447974992 \, x^{12} - 240797810407770 \, x^{11} + 25549234281774 \, x^{10} - 26500281727302 \, x^{9} + 25520701332582 \, x^{8} + 9965507230260 \, x^{7} + 10389354811164 \, x^{6} + 3755740313808 \, x^{5} + 1820618017974 \, x^{4} + 463742325333 \, x^{3} + 139858796529 \, x^{2} + 19758444939 \, x + 3486784401\right)} \sqrt{3781484028801678888003468129339153727662345024772741260943 \, \sqrt{14} + 14149022371848728385570789036684124101210161640127797919744} \arctan\left(\frac{1}{3488555476273159707600878934940824497561724963674913242575009589894914045286581081812447079130476773106112671051669997871458082291658322630168235582320931564879831926785152574881809490600509573163099222783843446054688985482057622250395943920813921700} \cdot 579590499192185855665304541951571706717845859384545414208024478076585205782332794174344701326^{\frac{3}{4}} \sqrt{1634857335323112850812492677092639503349451327418417311} \sqrt{64342304412315244851792108587160892517250256970} \sqrt{12868460882463048970358421717432178503450051394} \sqrt{579590499192185855665304541951571706717845859384545414208024478076585205782332794174344701326^{\frac{1}{4}} \sqrt{12868460882463048970358421717432178503450051394} \sqrt{-2 \, x + 3} \sqrt{3781484028801678888003468129339153727662345024772741260943 \, \sqrt{14} + 14149022371848728385570789036684124101210161640127797919744} {\left(8061110911143276053983022787 \, \sqrt{14} - 30297118912219360725028693061\right)} - 210380976680132535569563443287236823905478719259451204168457324874865216162080856741370745650892815340 \, x + 963732050599621794425456308219340060829468062999882820661390 \, \sqrt{166789371965963959581098742817586289130679764812156476721038706576007991289033281726} + 315571465020198803354345164930855235858218078889176806252685987312297824243121285112056118476339223010} {\left(30297118912219360725028693061 \, \sqrt{14} \sqrt{7} - 112855552756005864755762319018 \, \sqrt{7}\right)} \sqrt{3781484028801678888003468129339153727662345024772741260943 \, \sqrt{14} + 14149022371848728385570789036684124101210161640127797919744} - \frac{1}{33164172268077541576042406944735803543071184128057805445740643992848947205475131833297639875732592434272266883677954804521721584006729715127306903510} \cdot 579590499192185855665304541951571706717845859384545414208024478076585205782332794174344701326^{\frac{3}{4}} \sqrt{12868460882463048970358421717432178503450051394} {\left(30297118912219360725028693061 \, \sqrt{14} \sqrt{7} - 112855552756005864755762319018 \, \sqrt{7}\right)} \sqrt{-2 \, x + 3} \sqrt{3781484028801678888003468129339153727662345024772741260943 \, \sqrt{14} + 14149022371848728385570789036684124101210161640127797919744} + \frac{2}{7} \, \sqrt{14} \sqrt{7} + \sqrt{7}\right) + 616525316537858546962128448983043227187951381815778781478549978900 \cdot 579590499192185855665304541951571706717845859384545414208024478076585205782332794174344701326^{\frac{1}{4}} \sqrt{12868460882463048970358421717432178503450051394} \sqrt{14} \sqrt{7} {\left(549755813888 \, x^{58} - 11269994184704 \, x^{57} + 107064944754688 \, x^{56} - 630638638006272 \, x^{55} + 2618521301286912 \, x^{54} - 8342252417974272 \, x^{53} + 21849572376576000 \, x^{52} - 49684091485814784 \, x^{51} + 101394501297242112 \, x^{50} - 188583312363618304 \, x^{49} + 323261995581177856 \, x^{48} - 517079841212727296 \, x^{47} + 778117896260812800 \, x^{46} - 1105641165387988992 \, x^{45} + 1491287028233404416 \, x^{44} - 1919929663119949824 \, x^{43} + 2363050939901804544 \, x^{42} - 2786274020645928960 \, x^{41} + 3161145685194047488 \, x^{40} - 3453753931369283584 \, x^{39} + 3634098467102523392 \, x^{38} - 3697893960325791744 \, x^{37} + 3640651752731836416 \, x^{36} - 3461798212247617536 \, x^{35} + 3194540251789393920 \, x^{34} - 2861544579495297024 \, x^{33} + 2477632938217930752 \, x^{32} - 2088430257127768064 \, x^{31} + 1712761005459316736 \, x^{30} - 1355447485390974976 \, x^{29} + 1048940886155151360 \, x^{28} - 790511024135089152 \, x^{27} + 571750925528393856 \, x^{26} - 408374103192240192 \, x^{25} + 282845069599813728 \, x^{24} - 186113897194906128 \, x^{23} + 123982890381352520 \, x^{22} - 78116367732251996 \, x^{21} + 46488580159296898 \, x^{20} - 29591055660829971 \, x^{19} + 16200795673453545 \, x^{18} - 8941894120163277 \, x^{17} + 5578893209169441 \, x^{16} - 2296849711499532 \, x^{15} + 1448289882400788 \, x^{14} - 756896247319212 \, x^{13} + 182213447974992 \, x^{12} - 240797810407770 \, x^{11} + 25549234281774 \, x^{10} - 26500281727302 \, x^{9} + 25520701332582 \, x^{8} + 9965507230260 \, x^{7} + 10389354811164 \, x^{6} + 3755740313808 \, x^{5} + 1820618017974 \, x^{4} + 463742325333 \, x^{3} + 139858796529 \, x^{2} + 19758444939 \, x + 3486784401\right)} \sqrt{3781484028801678888003468129339153727662345024772741260943 \, \sqrt{14} + 14149022371848728385570789036684124101210161640127797919744} \arctan\left(\frac{1}{88221268136991557850830347742157188347641479830426221595502224219175844282483036150488446475189965496243820538044661002745074619234209862134823250046493206397567627980015263931446769927917308008043494406341475991998227625530289790494302092900288913988891810201600} \cdot 579590499192185855665304541951571706717845859384545414208024478076585205782332794174344701326^{\frac{3}{4}} \sqrt{1634857335323112850812492677092639503349451327418417311} \sqrt{12868460882463048970358421717432178503450051394} \sqrt{-41148303668605102441456509058170322829014409271501775935163876370158714880 \cdot 579590499192185855665304541951571706717845859384545414208024478076585205782332794174344701326^{\frac{1}{4}} \sqrt{12868460882463048970358421717432178503450051394} \sqrt{-2 \, x + 3} \sqrt{3781484028801678888003468129339153727662345024772741260943 \, \sqrt{14} + 14149022371848728385570789036684124101210161640127797919744} {\left(8061110911143276053983022787 \, \sqrt{14} - 30297118912219360725028693061\right)} - 8656820314531822118728360997572779097778939674421147453644364422395484151619562228052225609790512587117159969770287304130190501793583932157415533491476293668491490879550259200 \, x + 39655939073240735699697464832307040228010334971057954913097176452275244656121253105297648773136457461603590116807858434249634034483200 \, \sqrt{166789371965963959581098742817586289130679764812156476721038706576007991289033281726} + 12985230471797733178092541496359168646668409511631721180466546633593226227429343342078338414685768880675739954655430956195285752690375898236123300237214440502737236319325388800} {\left(30297118912219360725028693061 \, \sqrt{14} \sqrt{7} - 112855552756005864755762319018 \, \sqrt{7}\right)} \sqrt{3781484028801678888003468129339153727662345024772741260943 \, \sqrt{14} + 14149022371848728385570789036684124101210161640127797919744} - \frac{1}{33164172268077541576042406944735803543071184128057805445740643992848947205475131833297639875732592434272266883677954804521721584006729715127306903510} \cdot 579590499192185855665304541951571706717845859384545414208024478076585205782332794174344701326^{\frac{3}{4}} \sqrt{12868460882463048970358421717432178503450051394} {\left(30297118912219360725028693061 \, \sqrt{14} \sqrt{7} - 112855552756005864755762319018 \, \sqrt{7}\right)} \sqrt{-2 \, x + 3} \sqrt{3781484028801678888003468129339153727662345024772741260943 \, \sqrt{14} + 14149022371848728385570789036684124101210161640127797919744} - \frac{2}{7} \, \sqrt{14} \sqrt{7} - \sqrt{7}\right) + 131989413465 \cdot 579590499192185855665304541951571706717845859384545414208024478076585205782332794174344701326^{\frac{1}{4}} \sqrt{12868460882463048970358421717432178503450051394} {\left(7778507309755217852827317402300628134029188898204494505702056024604672 \, x^{58} - 159459399849981965982960006747162876747598372413192137366892148504395776 \, x^{57} + 1514864298574828676838120064098047329102184537925325304985475410791759872 \, x^{56} - 8922920197702954279424536475114108048248233314852830759853471017224634368 \, x^{55} + 37049516473070962334132314494495535591639403546454145111565499223693590528 \, x^{54} - 118034716093527123457170227067542059725196738523651032986322545956112826368 \, x^{53} + 309150088371501812670279456678545863084687431424928239641662378993516544000 \, x^{52} - 702981321957772306733839830751157952666084707511427579277943471480080695296 \, x^{51} + 1434633067237123554683051124392269116634712360343909848074251531317913059328 \, x^{50} - 2668269505590172280049044367109090002286110479558215558121161934960041394176 \, x^{49} + 4573841207446550262699821197175010650353163360439432757916212490278077988864 \, x^{48} - 7316174241350866619870016799834089425838276814640448981448669826605566132224 \, x^{47} + 11009607522130108303720327150964714549103431151620256934238701471906607923200 \, x^{46} - 15643741584311556183830093683288060491254305358060645835780583727821171458048 \, x^{45} + 21100253525322245323369387355308423247443333718020271970799243119655863189504 \, x^{44} - 27165127755860162519562776582318065307577993759440407412731079664252858925056 \, x^{43} + 33434860614488797445569848022836846490704329307177012620295046744354886516736 \, x^{42} - 39423053452220154576417414767228020698502502067094287273232395028270405386240 \, x^{41} + 44727121020483655457697163684573632669291499878162600868891481089937948803072 \, x^{40} - 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790511024135089152 \, x^{27} + 571750925528393856 \, x^{26} - 408374103192240192 \, x^{25} + 282845069599813728 \, x^{24} - 186113897194906128 \, x^{23} + 123982890381352520 \, x^{22} - 78116367732251996 \, x^{21} + 46488580159296898 \, x^{20} - 29591055660829971 \, x^{19} + 16200795673453545 \, x^{18} - 8941894120163277 \, x^{17} + 5578893209169441 \, x^{16} - 2296849711499532 \, x^{15} + 1448289882400788 \, x^{14} - 756896247319212 \, x^{13} + 182213447974992 \, x^{12} - 240797810407770 \, x^{11} + 25549234281774 \, x^{10} - 26500281727302 \, x^{9} + 25520701332582 \, x^{8} + 9965507230260 \, x^{7} + 10389354811164 \, x^{6} + 3755740313808 \, x^{5} + 1820618017974 \, x^{4} + 463742325333 \, x^{3} + 139858796529 \, x^{2} + 19758444939 \, x + 3486784401\right)} + 279562679474852283443466797268108117189203842033755028120580564975616 \, x + 49334590495562167666494140694372020680447736829486181433043629113344\right)} \sqrt{3781484028801678888003468129339153727662345024772741260943 \, \sqrt{14} + 14149022371848728385570789036684124101210161640127797919744} \log\left(-\frac{41148303668605102441456509058170322829014409271501775935163876370158714880}{1634857335323112850812492677092639503349451327418417311} \cdot 579590499192185855665304541951571706717845859384545414208024478076585205782332794174344701326^{\frac{1}{4}} \sqrt{12868460882463048970358421717432178503450051394} \sqrt{-2 \, x + 3} \sqrt{3781484028801678888003468129339153727662345024772741260943 \, \sqrt{14} + 14149022371848728385570789036684124101210161640127797919744} {\left(8061110911143276053983022787 \, \sqrt{14} - 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11269994184704*x^57 + 107064944754688*x^56 - 630638638006272*x^55 + 2618521301286912*x^54 - 8342252417974272*x^53 + 21849572376576000*x^52 - 49684091485814784*x^51 + 101394501297242112*x^50 - 188583312363618304*x^49 + 323261995581177856*x^48 - 517079841212727296*x^47 + 778117896260812800*x^46 - 1105641165387988992*x^45 + 1491287028233404416*x^44 - 1919929663119949824*x^43 + 2363050939901804544*x^42 - 2786274020645928960*x^41 + 3161145685194047488*x^40 - 3453753931369283584*x^39 + 3634098467102523392*x^38 - 3697893960325791744*x^37 + 3640651752731836416*x^36 - 3461798212247617536*x^35 + 3194540251789393920*x^34 - 2861544579495297024*x^33 + 2477632938217930752*x^32 - 2088430257127768064*x^31 + 1712761005459316736*x^30 - 1355447485390974976*x^29 + 1048940886155151360*x^28 - 790511024135089152*x^27 + 571750925528393856*x^26 - 408374103192240192*x^25 + 282845069599813728*x^24 - 186113897194906128*x^23 + 123982890381352520*x^22 - 78116367732251996*x^21 + 46488580159296898*x^20 - 29591055660829971*x^19 + 16200795673453545*x^18 - 8941894120163277*x^17 + 5578893209169441*x^16 - 2296849711499532*x^15 + 1448289882400788*x^14 - 756896247319212*x^13 + 182213447974992*x^12 - 240797810407770*x^11 + 25549234281774*x^10 - 26500281727302*x^9 + 25520701332582*x^8 + 9965507230260*x^7 + 10389354811164*x^6 + 3755740313808*x^5 + 1820618017974*x^4 + 463742325333*x^3 + 139858796529*x^2 + 19758444939*x + 3486784401)","B",0
50,1,1873,0,1.171146," ","integrate(1/(x^2-2*x+3)^(11/2)/(2*x^2+x+1)^5,x, algorithm=""fricas"")","\frac{26460206086876512301981559146074412800 \, x^{18} - 211681648695012098415852473168595302400 \, x^{17} + 1018717934344745723626290027123864892800 \, x^{16} - 3214915039555496244690759436248041155200 \, x^{15} + 7688343631118056605744516779381246569200 \, x^{14} - 13980911391153377187559506313807067863200 \, x^{13} + 20977982138251784909414754860497120398000 \, x^{12} - 25712705264922250829450580100197810638400 \, x^{11} + 28757282727793479526197333249442997761200 \, x^{10} - 27283780001330543747380735174495978898400 \, x^{9} + 25562212842803140665733059982554512415600 \, x^{8} - 18045860551249781389951423337622749529600 \, x^{7} + 15206349685551845663545027271759639106000 \, x^{6} - 7266634096608462190931685680490685615200 \, x^{5} - 3602042876982878244 \cdot 337802213083473608^{\frac{1}{4}} \sqrt{205487899} \sqrt{35} \sqrt{2} {\left(16 \, x^{18} - 128 \, x^{17} + 616 \, x^{16} - 1944 \, x^{15} + 4649 \, x^{14} - 8454 \, x^{13} + 12685 \, x^{12} - 15548 \, x^{11} + 17389 \, x^{10} - 16498 \, x^{9} + 15457 \, x^{8} - 10912 \, x^{7} + 9195 \, x^{6} - 4394 \, x^{5} + 4407 \, x^{4} - 396 \, x^{3} + 1647 \, x^{2} + 162 \, x + 243\right)} \sqrt{151363871237318045 \, \sqrt{2} + 220640951482187776} \arctan\left(\frac{1}{964393622349963919677467835514205441102895152270484353118304} \, \sqrt{205487899} {\left(12071210867722009415131100925112940 \, \sqrt{41672947348129} \sqrt{7} \sqrt{2} {\left(10 \, \sqrt{2} + 9\right)} + \sqrt{205487899} {\left(5 \cdot 337802213083473608^{\frac{3}{4}} \sqrt{41672947348129} \sqrt{35} {\left(534678000 \, \sqrt{2} - 573381349\right)} + 2876830586 \cdot 337802213083473608^{\frac{1}{4}} \sqrt{41672947348129} \sqrt{35} {\left(201502465 \, \sqrt{2} + 108532744\right)}\right)} \sqrt{151363871237318045 \, \sqrt{2} + 220640951482187776} + 2414242173544401883026220185022588 \, \sqrt{41672947348129} \sqrt{7} {\left(125 \, \sqrt{2} + 172\right)}\right)} \sqrt{164483605088694913184970968 \, x^{2} + \sqrt{205487899} {\left(337802213083473608^{\frac{1}{4}} \sqrt{35} \sqrt{7} \sqrt{x^{2} - 2 \, x + 3} {\left(89801606 \, \sqrt{2} - 42834985\right)} - 337802213083473608^{\frac{1}{4}} \sqrt{35} \sqrt{7} {\left(\sqrt{2} {\left(89801606 \, x - 132636591\right)} - 42834985 \, x + 222438197\right)}\right)} \sqrt{151363871237318045 \, \sqrt{2} + 220640951482187776} - 41120901272173728296242742 \, \sqrt{x^{2} - 2 \, x + 3} {\left(4 \, x + 1\right)} - 123362703816521184888728226 \, x + 205604506360868641481213710 \, \sqrt{2} + 287846308905216098073699194} + \frac{5}{476} \, \sqrt{7} \sqrt{2} {\left(\sqrt{2} {\left(10 \, x - 19\right)} + 9 \, x - 29\right)} + \frac{1}{1149179274607135296320480808070751888} \, \sqrt{205487899} {\left(5 \cdot 337802213083473608^{\frac{3}{4}} \sqrt{35} {\left(\sqrt{2} {\left(534678000 \, x + 38703349\right)} - 573381349 \, x - 495974651\right)} + 2876830586 \cdot 337802213083473608^{\frac{1}{4}} \sqrt{35} {\left(\sqrt{2} {\left(201502465 \, x - 310035209\right)} + 108532744 \, x - 511537674\right)} - {\left(5 \cdot 337802213083473608^{\frac{3}{4}} \sqrt{35} {\left(534678000 \, \sqrt{2} - 573381349\right)} + 2876830586 \cdot 337802213083473608^{\frac{1}{4}} \sqrt{35} {\left(201502465 \, \sqrt{2} + 108532744\right)}\right)} \sqrt{x^{2} - 2 \, x + 3}\right)} \sqrt{151363871237318045 \, \sqrt{2} + 220640951482187776} - \frac{1}{476} \, \sqrt{x^{2} - 2 \, x + 3} {\left(5 \, \sqrt{7} \sqrt{2} {\left(10 \, \sqrt{2} + 9\right)} + \sqrt{7} {\left(125 \, \sqrt{2} + 172\right)}\right)} + \frac{1}{476} \, \sqrt{7} {\left(25 \, \sqrt{2} {\left(5 \, x - 1\right)} + 172 \, x - 82\right)}\right) - 3602042876982878244 \cdot 337802213083473608^{\frac{1}{4}} \sqrt{205487899} \sqrt{35} \sqrt{2} {\left(16 \, x^{18} - 128 \, x^{17} + 616 \, x^{16} - 1944 \, x^{15} + 4649 \, x^{14} - 8454 \, x^{13} + 12685 \, x^{12} - 15548 \, x^{11} + 17389 \, x^{10} - 16498 \, x^{9} + 15457 \, x^{8} - 10912 \, x^{7} + 9195 \, x^{6} - 4394 \, x^{5} + 4407 \, x^{4} - 396 \, x^{3} + 1647 \, x^{2} + 162 \, x + 243\right)} \sqrt{151363871237318045 \, \sqrt{2} + 220640951482187776} \arctan\left(-\frac{1}{964393622349963919677467835514205441102895152270484353118304} \, \sqrt{205487899} {\left(12071210867722009415131100925112940 \, \sqrt{41672947348129} \sqrt{7} \sqrt{2} {\left(10 \, \sqrt{2} + 9\right)} - \sqrt{205487899} {\left(5 \cdot 337802213083473608^{\frac{3}{4}} \sqrt{41672947348129} \sqrt{35} {\left(534678000 \, \sqrt{2} - 573381349\right)} + 2876830586 \cdot 337802213083473608^{\frac{1}{4}} \sqrt{41672947348129} \sqrt{35} {\left(201502465 \, \sqrt{2} + 108532744\right)}\right)} \sqrt{151363871237318045 \, \sqrt{2} + 220640951482187776} + 2414242173544401883026220185022588 \, \sqrt{41672947348129} \sqrt{7} {\left(125 \, \sqrt{2} + 172\right)}\right)} \sqrt{164483605088694913184970968 \, x^{2} - \sqrt{205487899} {\left(337802213083473608^{\frac{1}{4}} \sqrt{35} \sqrt{7} \sqrt{x^{2} - 2 \, x + 3} {\left(89801606 \, \sqrt{2} - 42834985\right)} - 337802213083473608^{\frac{1}{4}} \sqrt{35} \sqrt{7} {\left(\sqrt{2} {\left(89801606 \, x - 132636591\right)} - 42834985 \, x + 222438197\right)}\right)} \sqrt{151363871237318045 \, \sqrt{2} + 220640951482187776} - 41120901272173728296242742 \, \sqrt{x^{2} - 2 \, x + 3} {\left(4 \, x + 1\right)} - 123362703816521184888728226 \, x + 205604506360868641481213710 \, \sqrt{2} + 287846308905216098073699194} - \frac{5}{476} \, \sqrt{7} \sqrt{2} {\left(\sqrt{2} {\left(10 \, x - 19\right)} + 9 \, x - 29\right)} + \frac{1}{1149179274607135296320480808070751888} \, \sqrt{205487899} {\left(5 \cdot 337802213083473608^{\frac{3}{4}} \sqrt{35} {\left(\sqrt{2} {\left(534678000 \, x + 38703349\right)} - 573381349 \, x - 495974651\right)} + 2876830586 \cdot 337802213083473608^{\frac{1}{4}} \sqrt{35} {\left(\sqrt{2} {\left(201502465 \, x - 310035209\right)} + 108532744 \, x - 511537674\right)} - {\left(5 \cdot 337802213083473608^{\frac{3}{4}} \sqrt{35} {\left(534678000 \, \sqrt{2} - 573381349\right)} + 2876830586 \cdot 337802213083473608^{\frac{1}{4}} \sqrt{35} {\left(201502465 \, \sqrt{2} + 108532744\right)}\right)} \sqrt{x^{2} - 2 \, x + 3}\right)} \sqrt{151363871237318045 \, \sqrt{2} + 220640951482187776} + \frac{1}{476} \, \sqrt{x^{2} - 2 \, x + 3} {\left(5 \, \sqrt{7} \sqrt{2} {\left(10 \, \sqrt{2} + 9\right)} + \sqrt{7} {\left(125 \, \sqrt{2} + 172\right)}\right)} - \frac{1}{476} \, \sqrt{7} {\left(25 \, \sqrt{2} {\left(5 \, x - 1\right)} + 172 \, x - 82\right)}\right) + 9 \cdot 337802213083473608^{\frac{1}{4}} \sqrt{205487899} \sqrt{35} \sqrt{7} {\left(3530255223715004416 \, x^{18} - 28242041789720035328 \, x^{17} + 135914826113027670016 \, x^{16} - 428926009681373036544 \, x^{15} + 1025759783440690970624 \, x^{14} - 1865298603830415458304 \, x^{13} + 2798830469551551938560 \, x^{12} - 3430525513645055541248 \, x^{11} + 3836725505323763236864 \, x^{10} - 3640134417553133928448 \, x^{9} + 3410447187060176453632 \, x^{8} - 2407634062573633011712 \, x^{7} + 2028793548878716600320 \, x^{6} - 969496340812733087744 \, x^{5} + 972364673182001528832 \, x^{4} - 87373816786946359296 \, x^{3} + 363395647091163267072 \, x^{2} - 151363871237318045 \, \sqrt{2} {\left(16 \, x^{18} - 128 \, x^{17} + 616 \, x^{16} - 1944 \, x^{15} + 4649 \, x^{14} - 8454 \, x^{13} + 12685 \, x^{12} - 15548 \, x^{11} + 17389 \, x^{10} - 16498 \, x^{9} + 15457 \, x^{8} - 10912 \, x^{7} + 9195 \, x^{6} - 4394 \, x^{5} + 4407 \, x^{4} - 396 \, x^{3} + 1647 \, x^{2} + 162 \, x + 243\right)} + 35743834140114419712 \, x + 53615751210171629568\right)} \sqrt{151363871237318045 \, \sqrt{2} + 220640951482187776} \log\left(19083512352618334937598521302939860992 \, x^{2} + \frac{236911417693579806112743424}{2041974420058321} \, \sqrt{205487899} {\left(337802213083473608^{\frac{1}{4}} \sqrt{35} \sqrt{7} \sqrt{x^{2} - 2 \, x + 3} {\left(89801606 \, \sqrt{2} - 42834985\right)} - 337802213083473608^{\frac{1}{4}} \sqrt{35} \sqrt{7} {\left(\sqrt{2} {\left(89801606 \, x - 132636591\right)} - 42834985 \, x + 222438197\right)}\right)} \sqrt{151363871237318045 \, \sqrt{2} + 220640951482187776} - 4770878088154583734399630325734965248 \, \sqrt{x^{2} - 2 \, x + 3} {\left(4 \, x + 1\right)} - 14312634264463751203198890977204895744 \, x + 23854390440772918671998151628674826240 \, \sqrt{2} + 33396146617082086140797412280144756736\right) - 9 \cdot 337802213083473608^{\frac{1}{4}} \sqrt{205487899} \sqrt{35} \sqrt{7} {\left(3530255223715004416 \, x^{18} - 28242041789720035328 \, x^{17} + 135914826113027670016 \, x^{16} - 428926009681373036544 \, x^{15} + 1025759783440690970624 \, x^{14} - 1865298603830415458304 \, x^{13} + 2798830469551551938560 \, x^{12} - 3430525513645055541248 \, x^{11} + 3836725505323763236864 \, x^{10} - 3640134417553133928448 \, x^{9} + 3410447187060176453632 \, x^{8} - 2407634062573633011712 \, x^{7} + 2028793548878716600320 \, x^{6} - 969496340812733087744 \, x^{5} + 972364673182001528832 \, x^{4} - 87373816786946359296 \, x^{3} + 363395647091163267072 \, x^{2} - 151363871237318045 \, \sqrt{2} {\left(16 \, x^{18} - 128 \, x^{17} + 616 \, x^{16} - 1944 \, x^{15} + 4649 \, x^{14} - 8454 \, x^{13} + 12685 \, x^{12} - 15548 \, x^{11} + 17389 \, x^{10} - 16498 \, x^{9} + 15457 \, x^{8} - 10912 \, x^{7} + 9195 \, x^{6} - 4394 \, x^{5} + 4407 \, x^{4} - 396 \, x^{3} + 1647 \, x^{2} + 162 \, x + 243\right)} + 35743834140114419712 \, x + 53615751210171629568\right)} \sqrt{151363871237318045 \, \sqrt{2} + 220640951482187776} \log\left(19083512352618334937598521302939860992 \, x^{2} - \frac{236911417693579806112743424}{2041974420058321} \, \sqrt{205487899} {\left(337802213083473608^{\frac{1}{4}} \sqrt{35} \sqrt{7} \sqrt{x^{2} - 2 \, x + 3} {\left(89801606 \, \sqrt{2} - 42834985\right)} - 337802213083473608^{\frac{1}{4}} \sqrt{35} \sqrt{7} {\left(\sqrt{2} {\left(89801606 \, x - 132636591\right)} - 42834985 \, x + 222438197\right)}\right)} \sqrt{151363871237318045 \, \sqrt{2} + 220640951482187776} - 4770878088154583734399630325734965248 \, \sqrt{x^{2} - 2 \, x + 3} {\left(4 \, x + 1\right)} - 14312634264463751203198890977204895744 \, x + 23854390440772918671998151628674826240 \, \sqrt{2} + 33396146617082086140797412280144756736\right) + 7288133014054049357177045697296871075600 \, x^{4} - 654890100650193679474043588865341716800 \, x^{3} + 2723747464067850985085226744599034867600 \, x^{2} + 5756926178104321961473983880 \, {\left(4596238560 \, x^{17} - 38639385552 \, x^{16} + 188603773872 \, x^{15} - 606785954952 \, x^{14} + 1459208021718 \, x^{13} - 2679143870481 \, x^{12} + 3999656132532 \, x^{11} - 4915797913008 \, x^{10} + 5380603084494 \, x^{9} - 5134334619701 \, x^{8} + 4591320676952 \, x^{7} - 3359813871472 \, x^{6} + 2503427226914 \, x^{5} - 1409335257371 \, x^{4} + 1002897791524 \, x^{3} - 266966654968 \, x^{2} + 261702502714 \, x - 53205422447\right)} \sqrt{x^{2} - 2 \, x + 3} + 267909586629624687057563286354003429600 \, x + 401864379944437030586344929531005144400}{7108652444723216758028075295024000000000 \, {\left(16 \, x^{18} - 128 \, x^{17} + 616 \, x^{16} - 1944 \, x^{15} + 4649 \, x^{14} - 8454 \, x^{13} + 12685 \, x^{12} - 15548 \, x^{11} + 17389 \, x^{10} - 16498 \, x^{9} + 15457 \, x^{8} - 10912 \, x^{7} + 9195 \, x^{6} - 4394 \, x^{5} + 4407 \, x^{4} - 396 \, x^{3} + 1647 \, x^{2} + 162 \, x + 243\right)}}"," ",0,"1/7108652444723216758028075295024000000000*(26460206086876512301981559146074412800*x^18 - 211681648695012098415852473168595302400*x^17 + 1018717934344745723626290027123864892800*x^16 - 3214915039555496244690759436248041155200*x^15 + 7688343631118056605744516779381246569200*x^14 - 13980911391153377187559506313807067863200*x^13 + 20977982138251784909414754860497120398000*x^12 - 25712705264922250829450580100197810638400*x^11 + 28757282727793479526197333249442997761200*x^10 - 27283780001330543747380735174495978898400*x^9 + 25562212842803140665733059982554512415600*x^8 - 18045860551249781389951423337622749529600*x^7 + 15206349685551845663545027271759639106000*x^6 - 7266634096608462190931685680490685615200*x^5 - 3602042876982878244*337802213083473608^(1/4)*sqrt(205487899)*sqrt(35)*sqrt(2)*(16*x^18 - 128*x^17 + 616*x^16 - 1944*x^15 + 4649*x^14 - 8454*x^13 + 12685*x^12 - 15548*x^11 + 17389*x^10 - 16498*x^9 + 15457*x^8 - 10912*x^7 + 9195*x^6 - 4394*x^5 + 4407*x^4 - 396*x^3 + 1647*x^2 + 162*x + 243)*sqrt(151363871237318045*sqrt(2) + 220640951482187776)*arctan(1/964393622349963919677467835514205441102895152270484353118304*sqrt(205487899)*(12071210867722009415131100925112940*sqrt(41672947348129)*sqrt(7)*sqrt(2)*(10*sqrt(2) + 9) + sqrt(205487899)*(5*337802213083473608^(3/4)*sqrt(41672947348129)*sqrt(35)*(534678000*sqrt(2) - 573381349) + 2876830586*337802213083473608^(1/4)*sqrt(41672947348129)*sqrt(35)*(201502465*sqrt(2) + 108532744))*sqrt(151363871237318045*sqrt(2) + 220640951482187776) + 2414242173544401883026220185022588*sqrt(41672947348129)*sqrt(7)*(125*sqrt(2) + 172))*sqrt(164483605088694913184970968*x^2 + sqrt(205487899)*(337802213083473608^(1/4)*sqrt(35)*sqrt(7)*sqrt(x^2 - 2*x + 3)*(89801606*sqrt(2) - 42834985) - 337802213083473608^(1/4)*sqrt(35)*sqrt(7)*(sqrt(2)*(89801606*x - 132636591) - 42834985*x + 222438197))*sqrt(151363871237318045*sqrt(2) + 220640951482187776) - 41120901272173728296242742*sqrt(x^2 - 2*x + 3)*(4*x + 1) - 123362703816521184888728226*x + 205604506360868641481213710*sqrt(2) + 287846308905216098073699194) + 5/476*sqrt(7)*sqrt(2)*(sqrt(2)*(10*x - 19) + 9*x - 29) + 1/1149179274607135296320480808070751888*sqrt(205487899)*(5*337802213083473608^(3/4)*sqrt(35)*(sqrt(2)*(534678000*x + 38703349) - 573381349*x - 495974651) + 2876830586*337802213083473608^(1/4)*sqrt(35)*(sqrt(2)*(201502465*x - 310035209) + 108532744*x - 511537674) - (5*337802213083473608^(3/4)*sqrt(35)*(534678000*sqrt(2) - 573381349) + 2876830586*337802213083473608^(1/4)*sqrt(35)*(201502465*sqrt(2) + 108532744))*sqrt(x^2 - 2*x + 3))*sqrt(151363871237318045*sqrt(2) + 220640951482187776) - 1/476*sqrt(x^2 - 2*x + 3)*(5*sqrt(7)*sqrt(2)*(10*sqrt(2) + 9) + sqrt(7)*(125*sqrt(2) + 172)) + 1/476*sqrt(7)*(25*sqrt(2)*(5*x - 1) + 172*x - 82)) - 3602042876982878244*337802213083473608^(1/4)*sqrt(205487899)*sqrt(35)*sqrt(2)*(16*x^18 - 128*x^17 + 616*x^16 - 1944*x^15 + 4649*x^14 - 8454*x^13 + 12685*x^12 - 15548*x^11 + 17389*x^10 - 16498*x^9 + 15457*x^8 - 10912*x^7 + 9195*x^6 - 4394*x^5 + 4407*x^4 - 396*x^3 + 1647*x^2 + 162*x + 243)*sqrt(151363871237318045*sqrt(2) + 220640951482187776)*arctan(-1/964393622349963919677467835514205441102895152270484353118304*sqrt(205487899)*(12071210867722009415131100925112940*sqrt(41672947348129)*sqrt(7)*sqrt(2)*(10*sqrt(2) + 9) - sqrt(205487899)*(5*337802213083473608^(3/4)*sqrt(41672947348129)*sqrt(35)*(534678000*sqrt(2) - 573381349) + 2876830586*337802213083473608^(1/4)*sqrt(41672947348129)*sqrt(35)*(201502465*sqrt(2) + 108532744))*sqrt(151363871237318045*sqrt(2) + 220640951482187776) + 2414242173544401883026220185022588*sqrt(41672947348129)*sqrt(7)*(125*sqrt(2) + 172))*sqrt(164483605088694913184970968*x^2 - sqrt(205487899)*(337802213083473608^(1/4)*sqrt(35)*sqrt(7)*sqrt(x^2 - 2*x + 3)*(89801606*sqrt(2) - 42834985) - 337802213083473608^(1/4)*sqrt(35)*sqrt(7)*(sqrt(2)*(89801606*x - 132636591) - 42834985*x + 222438197))*sqrt(151363871237318045*sqrt(2) + 220640951482187776) - 41120901272173728296242742*sqrt(x^2 - 2*x + 3)*(4*x + 1) - 123362703816521184888728226*x + 205604506360868641481213710*sqrt(2) + 287846308905216098073699194) - 5/476*sqrt(7)*sqrt(2)*(sqrt(2)*(10*x - 19) + 9*x - 29) + 1/1149179274607135296320480808070751888*sqrt(205487899)*(5*337802213083473608^(3/4)*sqrt(35)*(sqrt(2)*(534678000*x + 38703349) - 573381349*x - 495974651) + 2876830586*337802213083473608^(1/4)*sqrt(35)*(sqrt(2)*(201502465*x - 310035209) + 108532744*x - 511537674) - (5*337802213083473608^(3/4)*sqrt(35)*(534678000*sqrt(2) - 573381349) + 2876830586*337802213083473608^(1/4)*sqrt(35)*(201502465*sqrt(2) + 108532744))*sqrt(x^2 - 2*x + 3))*sqrt(151363871237318045*sqrt(2) + 220640951482187776) + 1/476*sqrt(x^2 - 2*x + 3)*(5*sqrt(7)*sqrt(2)*(10*sqrt(2) + 9) + sqrt(7)*(125*sqrt(2) + 172)) - 1/476*sqrt(7)*(25*sqrt(2)*(5*x - 1) + 172*x - 82)) + 9*337802213083473608^(1/4)*sqrt(205487899)*sqrt(35)*sqrt(7)*(3530255223715004416*x^18 - 28242041789720035328*x^17 + 135914826113027670016*x^16 - 428926009681373036544*x^15 + 1025759783440690970624*x^14 - 1865298603830415458304*x^13 + 2798830469551551938560*x^12 - 3430525513645055541248*x^11 + 3836725505323763236864*x^10 - 3640134417553133928448*x^9 + 3410447187060176453632*x^8 - 2407634062573633011712*x^7 + 2028793548878716600320*x^6 - 969496340812733087744*x^5 + 972364673182001528832*x^4 - 87373816786946359296*x^3 + 363395647091163267072*x^2 - 151363871237318045*sqrt(2)*(16*x^18 - 128*x^17 + 616*x^16 - 1944*x^15 + 4649*x^14 - 8454*x^13 + 12685*x^12 - 15548*x^11 + 17389*x^10 - 16498*x^9 + 15457*x^8 - 10912*x^7 + 9195*x^6 - 4394*x^5 + 4407*x^4 - 396*x^3 + 1647*x^2 + 162*x + 243) + 35743834140114419712*x + 53615751210171629568)*sqrt(151363871237318045*sqrt(2) + 220640951482187776)*log(19083512352618334937598521302939860992*x^2 + 236911417693579806112743424/2041974420058321*sqrt(205487899)*(337802213083473608^(1/4)*sqrt(35)*sqrt(7)*sqrt(x^2 - 2*x + 3)*(89801606*sqrt(2) - 42834985) - 337802213083473608^(1/4)*sqrt(35)*sqrt(7)*(sqrt(2)*(89801606*x - 132636591) - 42834985*x + 222438197))*sqrt(151363871237318045*sqrt(2) + 220640951482187776) - 4770878088154583734399630325734965248*sqrt(x^2 - 2*x + 3)*(4*x + 1) - 14312634264463751203198890977204895744*x + 23854390440772918671998151628674826240*sqrt(2) + 33396146617082086140797412280144756736) - 9*337802213083473608^(1/4)*sqrt(205487899)*sqrt(35)*sqrt(7)*(3530255223715004416*x^18 - 28242041789720035328*x^17 + 135914826113027670016*x^16 - 428926009681373036544*x^15 + 1025759783440690970624*x^14 - 1865298603830415458304*x^13 + 2798830469551551938560*x^12 - 3430525513645055541248*x^11 + 3836725505323763236864*x^10 - 3640134417553133928448*x^9 + 3410447187060176453632*x^8 - 2407634062573633011712*x^7 + 2028793548878716600320*x^6 - 969496340812733087744*x^5 + 972364673182001528832*x^4 - 87373816786946359296*x^3 + 363395647091163267072*x^2 - 151363871237318045*sqrt(2)*(16*x^18 - 128*x^17 + 616*x^16 - 1944*x^15 + 4649*x^14 - 8454*x^13 + 12685*x^12 - 15548*x^11 + 17389*x^10 - 16498*x^9 + 15457*x^8 - 10912*x^7 + 9195*x^6 - 4394*x^5 + 4407*x^4 - 396*x^3 + 1647*x^2 + 162*x + 243) + 35743834140114419712*x + 53615751210171629568)*sqrt(151363871237318045*sqrt(2) + 220640951482187776)*log(19083512352618334937598521302939860992*x^2 - 236911417693579806112743424/2041974420058321*sqrt(205487899)*(337802213083473608^(1/4)*sqrt(35)*sqrt(7)*sqrt(x^2 - 2*x + 3)*(89801606*sqrt(2) - 42834985) - 337802213083473608^(1/4)*sqrt(35)*sqrt(7)*(sqrt(2)*(89801606*x - 132636591) - 42834985*x + 222438197))*sqrt(151363871237318045*sqrt(2) + 220640951482187776) - 4770878088154583734399630325734965248*sqrt(x^2 - 2*x + 3)*(4*x + 1) - 14312634264463751203198890977204895744*x + 23854390440772918671998151628674826240*sqrt(2) + 33396146617082086140797412280144756736) + 7288133014054049357177045697296871075600*x^4 - 654890100650193679474043588865341716800*x^3 + 2723747464067850985085226744599034867600*x^2 + 5756926178104321961473983880*(4596238560*x^17 - 38639385552*x^16 + 188603773872*x^15 - 606785954952*x^14 + 1459208021718*x^13 - 2679143870481*x^12 + 3999656132532*x^11 - 4915797913008*x^10 + 5380603084494*x^9 - 5134334619701*x^8 + 4591320676952*x^7 - 3359813871472*x^6 + 2503427226914*x^5 - 1409335257371*x^4 + 1002897791524*x^3 - 266966654968*x^2 + 261702502714*x - 53205422447)*sqrt(x^2 - 2*x + 3) + 267909586629624687057563286354003429600*x + 401864379944437030586344929531005144400)/(16*x^18 - 128*x^17 + 616*x^16 - 1944*x^15 + 4649*x^14 - 8454*x^13 + 12685*x^12 - 15548*x^11 + 17389*x^10 - 16498*x^9 + 15457*x^8 - 10912*x^7 + 9195*x^6 - 4394*x^5 + 4407*x^4 - 396*x^3 + 1647*x^2 + 162*x + 243)","B",0
51,1,2775,0,1.702014," ","integrate(1/(x^2-2*x+3)^(21/2)/(2*x^2+x+1)^10,x, algorithm=""fricas"")","\frac{36045960776272236628083717974972055111190660172853358396135728761934386631817942748278579200 \, x^{38} - 558712392032219667735297628612066854223455232679227055140103795809982992793178112598317977600 \, x^{37} + 4812135763632343589849176349658769357343953133075923345884119789718240615347695356895190323200 \, x^{36} - 28710607758300836474268681367065241896063360827677699962522107958880738952242991399003888332800 \, x^{35} + 131509182147132221307984934566938671566290224808133871438501689421822367827858786874250861388800 \, x^{34} - 486154125862132172417754359560821543038072883167534048023582332295256693402493082467454965081600 \, x^{33} + 1501251185900380179145587707151129894284646412544039883821859865409233818038611634065993336166400 \, x^{32} - 3960120768072419508193345390732915044310906172694579718477009206696968949880161377086262197766400 \, x^{31} + 9091420000021428607042340211572164213987876160818897418150894645435329015717575267031369642428000 \, x^{30} - 18424764929872158270698990044243761821209838303936935404825000845297214002673057816247491027262800 \, x^{29} + 33413073756673638925333625169011170445598811516221975115590200411293389434416479555356860509015600 \, x^{28} - 54816532560449295459717517003382699673242410936114304344629842103656622934490247108012261346586400 \, x^{27} + 82245983094063518667736627604663547588572840238581597325736701493749880383650749401133206999014400 \, x^{26} - 113722848067639694402592735862649094093874045443618754295078471234595964240139128161766283626302000 \, x^{25} + 146086574413322248286514192550522624098477614094095488624493581512454991258074867544318895241990800 \, x^{24} - 175027094081001021682973752997412023251736305226127144272811232619626419165679723993392477178363200 \, x^{23} + 196887291605784159433455654443374481739030277196290989156609388218395099469530751149958413044135200 \, x^{22} - 208068683375682167383215047521697995267539026087882795784482813901791360434798005710722616487282000 \, x^{21} + 208171444918478482519618165392015730347012009814583465001141378703189206795143605224483243158516400 \, x^{20} - 196227556184540408353167422341576855508320001795821851558311176995574081069015969836642878534431200 \, x^{19} + 176534941677723459681422280024952573032106299529482816321219585323399086976471958310981405494523200 \, x^{18} - 149136255738011380556954829398929258737007615204074730330565887220730783382923822619571340737358000 \, x^{17} + 121890814483587724389011961696733756253105383654426234336150913799569962877883235263704480534144400 \, x^{16} - 91983186053222129635537069278588580392985745730700928388526309371776740142438834607398588992195200 \, x^{15} + 69317814132471559316390137037592557060398996838342232414889371690271398098098738643314402130954400 \, x^{14} - 45743070841132500247970739727093296878765897323708593659902862883667237249390700654758574610918000 \, x^{13} + 32996965521676394929803121509049143329451789049169789455644615129199190308917673348518481311574800 \, x^{12} - 17770083757788737971933739892049927033484890029804651938270182161740937851280707834822272274354400 \, x^{11} + 13544225267451459701960369238256374351899362683978498551483729852256655264147093337392596228028800 \, x^{10} - 4813759732728488651728668551069958186240925466978671799825767568732599092879797201593187475517200 \, x^{9} + 5091181133639025216832620106123280320347641869015804163342220634415255665812683873707564839486000 \, x^{8} - 464213118503056400758348994571884060773399462026537769017971996084095803827142837363184426478400 \, x^{7} + 1771233883264782126042267141811413849986971398265032235916172889879027134542752439323372429279200 \, x^{6} + 239115034543163209918411032521665649750496447867853609069487786445410804754998849116452338787600 \, x^{5} + 79817891129994413353362937273464455099835468 \cdot 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{1590558865810545927822094} \sqrt{35} \sqrt{2} {\left(512 \, x^{38} - 7936 \, x^{37} + 68352 \, x^{36} - 407808 \, x^{35} + 1867968 \, x^{34} - 6905376 \, x^{33} + 21323904 \, x^{32} - 56249904 \, x^{31} + 129135330 \, x^{30} - 261706983 \, x^{29} + 474602241 \, x^{28} - 778618854 \, x^{27} + 1168229184 \, x^{26} - 1615329345 \, x^{25} + 2075026563 \, x^{24} - 2486100252 \, x^{23} + 2796604422 \, x^{22} - 2955425895 \, x^{21} + 2956885529 \, x^{20} - 2787233482 \, x^{19} + 2507517852 \, x^{18} - 2118344505 \, x^{17} + 1731347859 \, x^{16} - 1306537272 \, x^{15} + 984596334 \, x^{14} - 649738605 \, x^{13} + 468691803 \, x^{12} - 252407834 \, x^{11} + 192383368 \, x^{10} - 68375067 \, x^{9} + 72315585 \, x^{8} - 6593724 \, x^{7} + 25158762 \, x^{6} + 3396411 \, x^{5} + 6720651 \, x^{4} + 1325322 \, x^{3} + 1023516 \, x^{2} + 137781 \, x + 59049\right)} \sqrt{81042225921274689605478944797800854846405 \, \sqrt{2} + 114611845046003414252052727757333000617984} \arctan\left(\frac{1}{5420685078115688702331051867309027496600568583824326872468406439198505135017594564915473395777024743167351056637371274953501437271981836435236061968} \, \sqrt{795279432905272963911047} {\left(9939513250523192816422116593216797292815016511001378462170679301990 \, \sqrt{11005224487862873621128239642490888848098} \sqrt{2888868076710542715672947094311} \sqrt{7} {\left(10 \, \sqrt{2} + 9\right)} + \sqrt{1590558865810545927822094} {\left(5 \cdot 1264938752804265123815574105117799608149057272418^{\frac{3}{4}} \sqrt{2888868076710542715672947094311} \sqrt{35} {\left(340613697110906370000 \, \sqrt{2} - 483753219647003202703\right)} + 5566956030336910747377329 \cdot 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{2888868076710542715672947094311} \sqrt{35} {\left(43734782664604992355 \, \sqrt{2} - 66269826580994560232\right)}\right)} \sqrt{81042225921274689605478944797800854846405 \, \sqrt{2} + 114611845046003414252052727757333000617984} + 147461812540444568715696613114138557910359478676937042172325597372869522935182724790786 \, \sqrt{2888868076710542715672947094311} \sqrt{7} {\left(125 \, \sqrt{2} + 172\right)}\right)} \sqrt{5191798731734901573730421875012971256390643826285581511813805064 \, x^{2} + \sqrt{1590558865810545927822094} {\left(1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{35} \sqrt{7} \sqrt{x^{2} - 2 \, x + 3} {\left(43268355662383849682 \, \sqrt{2} - 62135959399493560795\right)} - 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{35} \sqrt{7} {\left(\sqrt{2} {\left(43268355662383849682 \, x - 105404315061877410477\right)} - 62135959399493560795 \, x + 148672670724261260159\right)}\right)} \sqrt{81042225921274689605478944797800854846405 \, \sqrt{2} + 114611845046003414252052727757333000617984} - 1297949682933725393432605468753242814097660956571395377953451266 \, \sqrt{x^{2} - 2 \, x + 3} {\left(4 \, x + 1\right)} - 3893849048801176180297816406259728442292982869714186133860353798 \, x + 87486976117927258982681475740074062806745190 \, \sqrt{11005224487862873621128239642490888848098} + 9085647780536077754028238281272699698683626695999767645674158862} + \frac{5}{35309486994022006419332} \, \sqrt{11005224487862873621128239642490888848098} \sqrt{7} {\left(\sqrt{2} {\left(10 \, x - 19\right)} + 9 \, x - 29\right)} + \frac{1}{70191822769251614708671587842329953565331111850222032074026984349485892917146977000414136} \, \sqrt{1590558865810545927822094} {\left(5 \cdot 1264938752804265123815574105117799608149057272418^{\frac{3}{4}} \sqrt{35} {\left(\sqrt{2} {\left(340613697110906370000 \, x + 143139522536096832703\right)} - 483753219647003202703 \, x - 197474174574809537297\right)} + 5566956030336910747377329 \cdot 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{35} {\left(\sqrt{2} {\left(43734782664604992355 \, x + 22535043916389567877\right)} - 66269826580994560232 \, x - 21199738748215424478\right)} - {\left(5 \cdot 1264938752804265123815574105117799608149057272418^{\frac{3}{4}} \sqrt{35} {\left(340613697110906370000 \, \sqrt{2} - 483753219647003202703\right)} + 5566956030336910747377329 \cdot 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{35} {\left(43734782664604992355 \, \sqrt{2} - 66269826580994560232\right)}\right)} \sqrt{x^{2} - 2 \, x + 3}\right)} \sqrt{81042225921274689605478944797800854846405 \, \sqrt{2} + 114611845046003414252052727757333000617984} - \frac{1}{35309486994022006419332} \, \sqrt{x^{2} - 2 \, x + 3} {\left(5 \, \sqrt{11005224487862873621128239642490888848098} \sqrt{7} {\left(10 \, \sqrt{2} + 9\right)} + 74179594525256316007 \, \sqrt{7} {\left(125 \, \sqrt{2} + 172\right)}\right)} + \frac{1}{476} \, \sqrt{7} {\left(25 \, \sqrt{2} {\left(5 \, x - 1\right)} + 172 \, x - 82\right)}\right) + 79817891129994413353362937273464455099835468 \cdot 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{1590558865810545927822094} \sqrt{35} \sqrt{2} {\left(512 \, x^{38} - 7936 \, x^{37} + 68352 \, x^{36} - 407808 \, x^{35} + 1867968 \, x^{34} - 6905376 \, x^{33} + 21323904 \, x^{32} - 56249904 \, x^{31} + 129135330 \, x^{30} - 261706983 \, x^{29} + 474602241 \, x^{28} - 778618854 \, x^{27} + 1168229184 \, x^{26} - 1615329345 \, x^{25} + 2075026563 \, x^{24} - 2486100252 \, x^{23} + 2796604422 \, x^{22} - 2955425895 \, x^{21} + 2956885529 \, x^{20} - 2787233482 \, x^{19} + 2507517852 \, x^{18} - 2118344505 \, x^{17} + 1731347859 \, x^{16} - 1306537272 \, x^{15} + 984596334 \, x^{14} - 649738605 \, x^{13} + 468691803 \, x^{12} - 252407834 \, x^{11} + 192383368 \, x^{10} - 68375067 \, x^{9} + 72315585 \, x^{8} - 6593724 \, x^{7} + 25158762 \, x^{6} + 3396411 \, x^{5} + 6720651 \, x^{4} + 1325322 \, x^{3} + 1023516 \, x^{2} + 137781 \, x + 59049\right)} \sqrt{81042225921274689605478944797800854846405 \, \sqrt{2} + 114611845046003414252052727757333000617984} \arctan\left(-\frac{1}{5420685078115688702331051867309027496600568583824326872468406439198505135017594564915473395777024743167351056637371274953501437271981836435236061968} \, \sqrt{795279432905272963911047} {\left(9939513250523192816422116593216797292815016511001378462170679301990 \, \sqrt{11005224487862873621128239642490888848098} \sqrt{2888868076710542715672947094311} \sqrt{7} {\left(10 \, \sqrt{2} + 9\right)} - \sqrt{1590558865810545927822094} {\left(5 \cdot 1264938752804265123815574105117799608149057272418^{\frac{3}{4}} \sqrt{2888868076710542715672947094311} \sqrt{35} {\left(340613697110906370000 \, \sqrt{2} - 483753219647003202703\right)} + 5566956030336910747377329 \cdot 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{2888868076710542715672947094311} \sqrt{35} {\left(43734782664604992355 \, \sqrt{2} - 66269826580994560232\right)}\right)} \sqrt{81042225921274689605478944797800854846405 \, \sqrt{2} + 114611845046003414252052727757333000617984} + 147461812540444568715696613114138557910359478676937042172325597372869522935182724790786 \, \sqrt{2888868076710542715672947094311} \sqrt{7} {\left(125 \, \sqrt{2} + 172\right)}\right)} \sqrt{5191798731734901573730421875012971256390643826285581511813805064 \, x^{2} - \sqrt{1590558865810545927822094} {\left(1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{35} \sqrt{7} \sqrt{x^{2} - 2 \, x + 3} {\left(43268355662383849682 \, \sqrt{2} - 62135959399493560795\right)} - 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{35} \sqrt{7} {\left(\sqrt{2} {\left(43268355662383849682 \, x - 105404315061877410477\right)} - 62135959399493560795 \, x + 148672670724261260159\right)}\right)} \sqrt{81042225921274689605478944797800854846405 \, \sqrt{2} + 114611845046003414252052727757333000617984} - 1297949682933725393432605468753242814097660956571395377953451266 \, \sqrt{x^{2} - 2 \, x + 3} {\left(4 \, x + 1\right)} - 3893849048801176180297816406259728442292982869714186133860353798 \, x + 87486976117927258982681475740074062806745190 \, \sqrt{11005224487862873621128239642490888848098} + 9085647780536077754028238281272699698683626695999767645674158862} - \frac{5}{35309486994022006419332} \, \sqrt{11005224487862873621128239642490888848098} \sqrt{7} {\left(\sqrt{2} {\left(10 \, x - 19\right)} + 9 \, x - 29\right)} + \frac{1}{70191822769251614708671587842329953565331111850222032074026984349485892917146977000414136} \, \sqrt{1590558865810545927822094} {\left(5 \cdot 1264938752804265123815574105117799608149057272418^{\frac{3}{4}} \sqrt{35} {\left(\sqrt{2} {\left(340613697110906370000 \, x + 143139522536096832703\right)} - 483753219647003202703 \, x - 197474174574809537297\right)} + 5566956030336910747377329 \cdot 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{35} {\left(\sqrt{2} {\left(43734782664604992355 \, x + 22535043916389567877\right)} - 66269826580994560232 \, x - 21199738748215424478\right)} - {\left(5 \cdot 1264938752804265123815574105117799608149057272418^{\frac{3}{4}} \sqrt{35} {\left(340613697110906370000 \, \sqrt{2} - 483753219647003202703\right)} + 5566956030336910747377329 \cdot 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{35} {\left(43734782664604992355 \, \sqrt{2} - 66269826580994560232\right)}\right)} \sqrt{x^{2} - 2 \, x + 3}\right)} \sqrt{81042225921274689605478944797800854846405 \, \sqrt{2} + 114611845046003414252052727757333000617984} + \frac{1}{35309486994022006419332} \, \sqrt{x^{2} - 2 \, x + 3} {\left(5 \, \sqrt{11005224487862873621128239642490888848098} \sqrt{7} {\left(10 \, \sqrt{2} + 9\right)} + 74179594525256316007 \, \sqrt{7} {\left(125 \, \sqrt{2} + 172\right)}\right)} - \frac{1}{476} \, \sqrt{7} {\left(25 \, \sqrt{2} {\left(5 \, x - 1\right)} + 172 \, x - 82\right)}\right) + 24453 \cdot 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{1590558865810545927822094} \sqrt{35} \sqrt{7} {\left(58681264663553748097050996611754496316407808 \, x^{38} - 909559602285083095504290447482194692904321024 \, x^{37} + 7833948832584425370956308047669225258240442368 \, x^{36} - 46739627304520560359301118801262456316018819072 \, x^{35} + 214091258966892905713578429763409810498374336512 \, x^{34} - 791437884096390872694182856990021126475411881984 \, x^{33} + 2443971981023852389183004169635504201209831489536 \, x^{32} - 6446905281100567635350197739288116580793540673536 \, x^{31} + 14800438431924516080565532176343356954693567774720 \, x^{30} - 29994720183053049751603920938291975718069728182272 \, x^{29} + 54395038503977968497675563443793146276549591302144 \, x^{28} - 89238943444544755685020562033988611037555993870336 \, x^{27} + 133892902214827011092889528472923281328218944045056 \, x^{26} - 185135876587402190011531997633716034835132689940480 \, x^{25} + 237822622904897041561702187373073394318812215508992 \, x^{24} - 284936536851054039764888677994792967684286178131968 \, x^{23} + 320523992669231941724388481023319612454782787125248 \, x^{22} - 338726814722685956738928688519407226164440916295680 \, x^{21} + 338894106068517834886487069250634573161464946753536 \, x^{20} - 319449971946016546489637350034669310345971696140288 \, x^{19} + 287391247503511322489973442496808422958321912250368 \, x^{18} - 242787372161112804792074580815007335314268010577920 \, x^{17} + 198432972536437767771981576557768362169992275296256 \, x^{16} - 149744647365292015359562891324224536622995129499648 \, x^{15} + 112846402465271023024054467724570114025686780870656 \, x^{14} - 74467740316666419201365857719494322341993062072320 \, x^{13} + 53717632299767958169950489423652550531043035185152 \, x^{12} - 28928927558805352147965359067020100302706002886656 \, x^{11} + 22049412762644251773309104679542809356433843290112 \, x^{10} - 7836592584014101531712860147940403658565697404928 \, x^{9} + 8288222622431088813634530458617273979494874480640 \, x^{8} - 755718873364113816635702120278992782166815932416 \, x^{7} + 2883492131893278950354802589097534717293712375808 \, x^{6} + 389268931244541502203228657135011133961927655424 \, x^{5} + 770266211020267891996472416855047787936254787584 \, x^{4} + 151897599700059336983359025256804087045027790848 \, x^{3} + 117307057194105230541603999703274443460516511744 \, x^{2} - 81042225921274689605478944797800854846405 \, \sqrt{2} {\left(512 \, x^{38} - 7936 \, x^{37} + 68352 \, x^{36} - 407808 \, x^{35} + 1867968 \, x^{34} - 6905376 \, x^{33} + 21323904 \, x^{32} - 56249904 \, x^{31} + 129135330 \, x^{30} - 261706983 \, x^{29} + 474602241 \, x^{28} - 778618854 \, x^{27} + 1168229184 \, x^{26} - 1615329345 \, x^{25} + 2075026563 \, x^{24} - 2486100252 \, x^{23} + 2796604422 \, x^{22} - 2955425895 \, x^{21} + 2956885529 \, x^{20} - 2787233482 \, x^{19} + 2507517852 \, x^{18} - 2118344505 \, x^{17} + 1731347859 \, x^{16} - 1306537272 \, x^{15} + 984596334 \, x^{14} - 649738605 \, x^{13} + 468691803 \, x^{12} - 252407834 \, x^{11} + 192383368 \, x^{10} - 68375067 \, x^{9} + 72315585 \, x^{8} - 6593724 \, x^{7} + 25158762 \, x^{6} + 3396411 \, x^{5} + 6720651 \, x^{4} + 1325322 \, x^{3} + 1023516 \, x^{2} + 137781 \, x + 59049\right)} + 15791334622283396419062076883133098158146453504 \, x + 6767714838121455608169461521342756353491337216\right)} \sqrt{81042225921274689605478944797800854846405 \, \sqrt{2} + 114611845046003414252052727757333000617984} \log\left(5149263009740846168871608737947327093513510106682349523414420454231938660554455908352 \, x^{2} + \frac{16517307604525632141069927349727551216675979497245715202048}{16653749577489013357854121082231147111} \, \sqrt{1590558865810545927822094} {\left(1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{35} \sqrt{7} \sqrt{x^{2} - 2 \, x + 3} {\left(43268355662383849682 \, \sqrt{2} - 62135959399493560795\right)} - 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{35} \sqrt{7} {\left(\sqrt{2} {\left(43268355662383849682 \, x - 105404315061877410477\right)} - 62135959399493560795 \, x + 148672670724261260159\right)}\right)} \sqrt{81042225921274689605478944797800854846405 \, \sqrt{2} + 114611845046003414252052727757333000617984} - 1287315752435211542217902184486831773378377526670587380853605113557984665138613977088 \, \sqrt{x^{2} - 2 \, x + 3} {\left(4 \, x + 1\right)} - 3861947257305634626653706553460495320135132580011762142560815340673953995415841931264 \, x + 86770206865778458070361238647050247531051756333085943213766737920 \, \sqrt{11005224487862873621128239642490888848098} + 9011210267046480795525315291407822413648642686694111665975235794905892655970297839616\right) - 24453 \cdot 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{1590558865810545927822094} \sqrt{35} \sqrt{7} {\left(58681264663553748097050996611754496316407808 \, x^{38} - 909559602285083095504290447482194692904321024 \, x^{37} + 7833948832584425370956308047669225258240442368 \, x^{36} - 46739627304520560359301118801262456316018819072 \, x^{35} + 214091258966892905713578429763409810498374336512 \, x^{34} - 791437884096390872694182856990021126475411881984 \, x^{33} + 2443971981023852389183004169635504201209831489536 \, x^{32} - 6446905281100567635350197739288116580793540673536 \, x^{31} + 14800438431924516080565532176343356954693567774720 \, x^{30} - 29994720183053049751603920938291975718069728182272 \, x^{29} + 54395038503977968497675563443793146276549591302144 \, x^{28} - 89238943444544755685020562033988611037555993870336 \, x^{27} + 133892902214827011092889528472923281328218944045056 \, x^{26} - 185135876587402190011531997633716034835132689940480 \, x^{25} + 237822622904897041561702187373073394318812215508992 \, x^{24} - 284936536851054039764888677994792967684286178131968 \, x^{23} + 320523992669231941724388481023319612454782787125248 \, x^{22} - 338726814722685956738928688519407226164440916295680 \, x^{21} + 338894106068517834886487069250634573161464946753536 \, x^{20} - 319449971946016546489637350034669310345971696140288 \, x^{19} + 287391247503511322489973442496808422958321912250368 \, x^{18} - 242787372161112804792074580815007335314268010577920 \, x^{17} + 198432972536437767771981576557768362169992275296256 \, x^{16} - 149744647365292015359562891324224536622995129499648 \, x^{15} + 112846402465271023024054467724570114025686780870656 \, x^{14} - 74467740316666419201365857719494322341993062072320 \, x^{13} + 53717632299767958169950489423652550531043035185152 \, x^{12} - 28928927558805352147965359067020100302706002886656 \, x^{11} + 22049412762644251773309104679542809356433843290112 \, x^{10} - 7836592584014101531712860147940403658565697404928 \, x^{9} + 8288222622431088813634530458617273979494874480640 \, x^{8} - 755718873364113816635702120278992782166815932416 \, x^{7} + 2883492131893278950354802589097534717293712375808 \, x^{6} + 389268931244541502203228657135011133961927655424 \, x^{5} + 770266211020267891996472416855047787936254787584 \, x^{4} + 151897599700059336983359025256804087045027790848 \, x^{3} + 117307057194105230541603999703274443460516511744 \, x^{2} - 81042225921274689605478944797800854846405 \, \sqrt{2} {\left(512 \, x^{38} - 7936 \, x^{37} + 68352 \, x^{36} - 407808 \, x^{35} + 1867968 \, x^{34} - 6905376 \, x^{33} + 21323904 \, x^{32} - 56249904 \, x^{31} + 129135330 \, x^{30} - 261706983 \, x^{29} + 474602241 \, x^{28} - 778618854 \, x^{27} + 1168229184 \, x^{26} - 1615329345 \, x^{25} + 2075026563 \, x^{24} - 2486100252 \, x^{23} + 2796604422 \, x^{22} - 2955425895 \, x^{21} + 2956885529 \, x^{20} - 2787233482 \, x^{19} + 2507517852 \, x^{18} - 2118344505 \, x^{17} + 1731347859 \, x^{16} - 1306537272 \, x^{15} + 984596334 \, x^{14} - 649738605 \, x^{13} + 468691803 \, x^{12} - 252407834 \, x^{11} + 192383368 \, x^{10} - 68375067 \, x^{9} + 72315585 \, x^{8} - 6593724 \, x^{7} + 25158762 \, x^{6} + 3396411 \, x^{5} + 6720651 \, x^{4} + 1325322 \, x^{3} + 1023516 \, x^{2} + 137781 \, x + 59049\right)} + 15791334622283396419062076883133098158146453504 \, x + 6767714838121455608169461521342756353491337216\right)} \sqrt{81042225921274689605478944797800854846405 \, \sqrt{2} + 114611845046003414252052727757333000617984} \log\left(5149263009740846168871608737947327093513510106682349523414420454231938660554455908352 \, x^{2} - \frac{16517307604525632141069927349727551216675979497245715202048}{16653749577489013357854121082231147111} \, \sqrt{1590558865810545927822094} {\left(1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{35} \sqrt{7} \sqrt{x^{2} - 2 \, x + 3} {\left(43268355662383849682 \, \sqrt{2} - 62135959399493560795\right)} - 1264938752804265123815574105117799608149057272418^{\frac{1}{4}} \sqrt{35} \sqrt{7} {\left(\sqrt{2} {\left(43268355662383849682 \, x - 105404315061877410477\right)} - 62135959399493560795 \, x + 148672670724261260159\right)}\right)} \sqrt{81042225921274689605478944797800854846405 \, \sqrt{2} + 114611845046003414252052727757333000617984} - 1287315752435211542217902184486831773378377526670587380853605113557984665138613977088 \, \sqrt{x^{2} - 2 \, x + 3} {\left(4 \, x + 1\right)} - 3861947257305634626653706553460495320135132580011762142560815340673953995415841931264 \, x + 86770206865778458070361238647050247531051756333085943213766737920 \, \sqrt{11005224487862873621128239642490888848098} + 9011210267046480795525315291407822413648642686694111665975235794905892655970297839616\right) + 473149067064481998763217709555105306943512932580756046793648401639888862209988063963205432771600 \, x^{4} + 93305673492052096078916346238331863328268414300012419250553508426219541327449647498113404575200 \, x^{3} + 72057846855248153407479950560295894451534022924762066351912610467773507163772995097552926305600 \, x^{2} + 10688997388865973828268515625026705527863090230587961936087245720 \, {\left(3372249001933422237824271360 \, x^{37} - 53502205399640031394796147712 \, x^{36} + 469149394082989701729494575872 \, x^{35} - 2847499220912667753383035299072 \, x^{34} + 13254252261100740556512388253568 \, x^{33} - 49770080058525077628064229832576 \, x^{32} + 156010734937008739388220889457760 \, x^{31} - 417516398850754397130111919794336 \, x^{30} + 971538171913365251873706873353652 \, x^{29} - 1993653213575521837888601204380228 \, x^{28} + 3655553471852957606257345414140031 \, x^{27} - 6054769996581738503753686155104785 \, x^{26} + 9155494158513869230271529746307221 \, x^{25} - 12740106677685048178693605103009787 \, x^{24} + 16442770202470076313197215936814318 \, x^{23} - 19772569734288744720189854470201506 \, x^{22} + 22286437617621909921609206629636086 \, x^{21} - 23584986647560742443188031208946882 \, x^{20} + 23579397211179175240196614296051673 \, x^{19} - 22218747553941794885903840542461607 \, x^{18} + 19912295454080246583636391613811979 \, x^{17} - 16801760806053390242995145349148613 \, x^{16} + 13613407965006475288139078599341572 \, x^{15} - 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2*x + 3)*(5*sqrt(11005224487862873621128239642490888848098)*sqrt(7)*(10*sqrt(2) + 9) + 74179594525256316007*sqrt(7)*(125*sqrt(2) + 172)) - 1/476*sqrt(7)*(25*sqrt(2)*(5*x - 1) + 172*x - 82)) + 24453*1264938752804265123815574105117799608149057272418^(1/4)*sqrt(1590558865810545927822094)*sqrt(35)*sqrt(7)*(58681264663553748097050996611754496316407808*x^38 - 909559602285083095504290447482194692904321024*x^37 + 7833948832584425370956308047669225258240442368*x^36 - 46739627304520560359301118801262456316018819072*x^35 + 214091258966892905713578429763409810498374336512*x^34 - 791437884096390872694182856990021126475411881984*x^33 + 2443971981023852389183004169635504201209831489536*x^32 - 6446905281100567635350197739288116580793540673536*x^31 + 14800438431924516080565532176343356954693567774720*x^30 - 29994720183053049751603920938291975718069728182272*x^29 + 54395038503977968497675563443793146276549591302144*x^28 - 89238943444544755685020562033988611037555993870336*x^27 + 133892902214827011092889528472923281328218944045056*x^26 - 185135876587402190011531997633716034835132689940480*x^25 + 237822622904897041561702187373073394318812215508992*x^24 - 284936536851054039764888677994792967684286178131968*x^23 + 320523992669231941724388481023319612454782787125248*x^22 - 338726814722685956738928688519407226164440916295680*x^21 + 338894106068517834886487069250634573161464946753536*x^20 - 319449971946016546489637350034669310345971696140288*x^19 + 287391247503511322489973442496808422958321912250368*x^18 - 242787372161112804792074580815007335314268010577920*x^17 + 198432972536437767771981576557768362169992275296256*x^16 - 149744647365292015359562891324224536622995129499648*x^15 + 112846402465271023024054467724570114025686780870656*x^14 - 74467740316666419201365857719494322341993062072320*x^13 + 53717632299767958169950489423652550531043035185152*x^12 - 28928927558805352147965359067020100302706002886656*x^11 + 22049412762644251773309104679542809356433843290112*x^10 - 7836592584014101531712860147940403658565697404928*x^9 + 8288222622431088813634530458617273979494874480640*x^8 - 755718873364113816635702120278992782166815932416*x^7 + 2883492131893278950354802589097534717293712375808*x^6 + 389268931244541502203228657135011133961927655424*x^5 + 770266211020267891996472416855047787936254787584*x^4 + 151897599700059336983359025256804087045027790848*x^3 + 117307057194105230541603999703274443460516511744*x^2 - 81042225921274689605478944797800854846405*sqrt(2)*(512*x^38 - 7936*x^37 + 68352*x^36 - 407808*x^35 + 1867968*x^34 - 6905376*x^33 + 21323904*x^32 - 56249904*x^31 + 129135330*x^30 - 261706983*x^29 + 474602241*x^28 - 778618854*x^27 + 1168229184*x^26 - 1615329345*x^25 + 2075026563*x^24 - 2486100252*x^23 + 2796604422*x^22 - 2955425895*x^21 + 2956885529*x^20 - 2787233482*x^19 + 2507517852*x^18 - 2118344505*x^17 + 1731347859*x^16 - 1306537272*x^15 + 984596334*x^14 - 649738605*x^13 + 468691803*x^12 - 252407834*x^11 + 192383368*x^10 - 68375067*x^9 + 72315585*x^8 - 6593724*x^7 + 25158762*x^6 + 3396411*x^5 + 6720651*x^4 + 1325322*x^3 + 1023516*x^2 + 137781*x + 59049) + 15791334622283396419062076883133098158146453504*x + 6767714838121455608169461521342756353491337216)*sqrt(81042225921274689605478944797800854846405*sqrt(2) + 114611845046003414252052727757333000617984)*log(5149263009740846168871608737947327093513510106682349523414420454231938660554455908352*x^2 + 16517307604525632141069927349727551216675979497245715202048/16653749577489013357854121082231147111*sqrt(1590558865810545927822094)*(1264938752804265123815574105117799608149057272418^(1/4)*sqrt(35)*sqrt(7)*sqrt(x^2 - 2*x + 3)*(43268355662383849682*sqrt(2) - 62135959399493560795) - 1264938752804265123815574105117799608149057272418^(1/4)*sqrt(35)*sqrt(7)*(sqrt(2)*(43268355662383849682*x - 105404315061877410477) - 62135959399493560795*x + 148672670724261260159))*sqrt(81042225921274689605478944797800854846405*sqrt(2) + 114611845046003414252052727757333000617984) - 1287315752435211542217902184486831773378377526670587380853605113557984665138613977088*sqrt(x^2 - 2*x + 3)*(4*x + 1) - 3861947257305634626653706553460495320135132580011762142560815340673953995415841931264*x + 86770206865778458070361238647050247531051756333085943213766737920*sqrt(11005224487862873621128239642490888848098) + 9011210267046480795525315291407822413648642686694111665975235794905892655970297839616) - 24453*1264938752804265123815574105117799608149057272418^(1/4)*sqrt(1590558865810545927822094)*sqrt(35)*sqrt(7)*(58681264663553748097050996611754496316407808*x^38 - 909559602285083095504290447482194692904321024*x^37 + 7833948832584425370956308047669225258240442368*x^36 - 46739627304520560359301118801262456316018819072*x^35 + 214091258966892905713578429763409810498374336512*x^34 - 791437884096390872694182856990021126475411881984*x^33 + 2443971981023852389183004169635504201209831489536*x^32 - 6446905281100567635350197739288116580793540673536*x^31 + 14800438431924516080565532176343356954693567774720*x^30 - 29994720183053049751603920938291975718069728182272*x^29 + 54395038503977968497675563443793146276549591302144*x^28 - 89238943444544755685020562033988611037555993870336*x^27 + 133892902214827011092889528472923281328218944045056*x^26 - 185135876587402190011531997633716034835132689940480*x^25 + 237822622904897041561702187373073394318812215508992*x^24 - 284936536851054039764888677994792967684286178131968*x^23 + 320523992669231941724388481023319612454782787125248*x^22 - 338726814722685956738928688519407226164440916295680*x^21 + 338894106068517834886487069250634573161464946753536*x^20 - 319449971946016546489637350034669310345971696140288*x^19 + 287391247503511322489973442496808422958321912250368*x^18 - 242787372161112804792074580815007335314268010577920*x^17 + 198432972536437767771981576557768362169992275296256*x^16 - 149744647365292015359562891324224536622995129499648*x^15 + 112846402465271023024054467724570114025686780870656*x^14 - 74467740316666419201365857719494322341993062072320*x^13 + 53717632299767958169950489423652550531043035185152*x^12 - 28928927558805352147965359067020100302706002886656*x^11 + 22049412762644251773309104679542809356433843290112*x^10 - 7836592584014101531712860147940403658565697404928*x^9 + 8288222622431088813634530458617273979494874480640*x^8 - 755718873364113816635702120278992782166815932416*x^7 + 2883492131893278950354802589097534717293712375808*x^6 + 389268931244541502203228657135011133961927655424*x^5 + 770266211020267891996472416855047787936254787584*x^4 + 151897599700059336983359025256804087045027790848*x^3 + 117307057194105230541603999703274443460516511744*x^2 - 81042225921274689605478944797800854846405*sqrt(2)*(512*x^38 - 7936*x^37 + 68352*x^36 - 407808*x^35 + 1867968*x^34 - 6905376*x^33 + 21323904*x^32 - 56249904*x^31 + 129135330*x^30 - 261706983*x^29 + 474602241*x^28 - 778618854*x^27 + 1168229184*x^26 - 1615329345*x^25 + 2075026563*x^24 - 2486100252*x^23 + 2796604422*x^22 - 2955425895*x^21 + 2956885529*x^20 - 2787233482*x^19 + 2507517852*x^18 - 2118344505*x^17 + 1731347859*x^16 - 1306537272*x^15 + 984596334*x^14 - 649738605*x^13 + 468691803*x^12 - 252407834*x^11 + 192383368*x^10 - 68375067*x^9 + 72315585*x^8 - 6593724*x^7 + 25158762*x^6 + 3396411*x^5 + 6720651*x^4 + 1325322*x^3 + 1023516*x^2 + 137781*x + 59049) + 15791334622283396419062076883133098158146453504*x + 6767714838121455608169461521342756353491337216)*sqrt(81042225921274689605478944797800854846405*sqrt(2) + 114611845046003414252052727757333000617984)*log(5149263009740846168871608737947327093513510106682349523414420454231938660554455908352*x^2 - 16517307604525632141069927349727551216675979497245715202048/16653749577489013357854121082231147111*sqrt(1590558865810545927822094)*(1264938752804265123815574105117799608149057272418^(1/4)*sqrt(35)*sqrt(7)*sqrt(x^2 - 2*x + 3)*(43268355662383849682*sqrt(2) - 62135959399493560795) - 1264938752804265123815574105117799608149057272418^(1/4)*sqrt(35)*sqrt(7)*(sqrt(2)*(43268355662383849682*x - 105404315061877410477) - 62135959399493560795*x + 148672670724261260159))*sqrt(81042225921274689605478944797800854846405*sqrt(2) + 114611845046003414252052727757333000617984) - 1287315752435211542217902184486831773378377526670587380853605113557984665138613977088*sqrt(x^2 - 2*x + 3)*(4*x + 1) - 3861947257305634626653706553460495320135132580011762142560815340673953995415841931264*x + 86770206865778458070361238647050247531051756333085943213766737920*sqrt(11005224487862873621128239642490888848098) + 9011210267046480795525315291407822413648642686694111665975235794905892655970297839616) + 473149067064481998763217709555105306943512932580756046793648401639888862209988063963205432771600*x^4 + 93305673492052096078916346238331863328268414300012419250553508426219541327449647498113404575200*x^3 + 72057846855248153407479950560295894451534022924762066351912610467773507163772995097552926305600*x^2 + 10688997388865973828268515625026705527863090230587961936087245720*(3372249001933422237824271360*x^37 - 53502205399640031394796147712*x^36 + 469149394082989701729494575872*x^35 - 2847499220912667753383035299072*x^34 + 13254252261100740556512388253568*x^33 - 49770080058525077628064229832576*x^32 + 156010734937008739388220889457760*x^31 - 417516398850754397130111919794336*x^30 + 971538171913365251873706873353652*x^29 - 1993653213575521837888601204380228*x^28 + 3655553471852957606257345414140031*x^27 - 6054769996581738503753686155104785*x^26 + 9155494158513869230271529746307221*x^25 - 12740106677685048178693605103009787*x^24 + 16442770202470076313197215936814318*x^23 - 19772569734288744720189854470201506*x^22 + 22286437617621909921609206629636086*x^21 - 23584986647560742443188031208946882*x^20 + 23579397211179175240196614296051673*x^19 - 22218747553941794885903840542461607*x^18 + 19912295454080246583636391613811979*x^17 - 16801760806053390242995145349148613*x^16 + 13613407965006475288139078599341572*x^15 - 10279305650733178669223634020962076*x^14 + 7606288378303449524327938977040824*x^13 - 5069838234992751929471190426115248*x^12 + 3507425970596197680016078213030977*x^11 - 1974814483061344405275851094534735*x^10 + 1357002388430055881833293557852283*x^9 - 566969010759169461615951049236597*x^8 + 458426000073846882432457044306894*x^7 - 94704557665253489332536549937026*x^6 + 135183920426913231415208872303230*x^5 - 1023095318901774638403186272874*x^4 + 29398041153524973343917601742151*x^3 + 1933957195570062708781629134823*x^2 + 3397462350398947848063583843461*x - 80038710871555316861345369643)*sqrt(x^2 - 2*x + 3) + 9700094768975712958699224113885985791552656932179508931988236024507972118200210878516740079600*x + 4157183472418162696585381763093993910665424399505503827994958296217702336371518947935745748400)/(512*x^38 - 7936*x^37 + 68352*x^36 - 407808*x^35 + 1867968*x^34 - 6905376*x^33 + 21323904*x^32 - 56249904*x^31 + 129135330*x^30 - 261706983*x^29 + 474602241*x^28 - 778618854*x^27 + 1168229184*x^26 - 1615329345*x^25 + 2075026563*x^24 - 2486100252*x^23 + 2796604422*x^22 - 2955425895*x^21 + 2956885529*x^20 - 2787233482*x^19 + 2507517852*x^18 - 2118344505*x^17 + 1731347859*x^16 - 1306537272*x^15 + 984596334*x^14 - 649738605*x^13 + 468691803*x^12 - 252407834*x^11 + 192383368*x^10 - 68375067*x^9 + 72315585*x^8 - 6593724*x^7 + 25158762*x^6 + 3396411*x^5 + 6720651*x^4 + 1325322*x^3 + 1023516*x^2 + 137781*x + 59049)","B",0
52,1,546,0,1.032495," ","integrate((-a+x-(a^2+1)^(1/2))/(-a+x+(a^2+1)^(1/2))/((-a+x)*(x^2+1))^(1/2),x, algorithm=""fricas"")","\left[\frac{1}{4} \, \sqrt{-2 \, a - 2 \, \sqrt{a^{2} + 1}} \log\left(-\frac{8 \, a x^{7} + x^{8} + 4 \, {\left(2 \, a^{2} + 15\right)} x^{6} - 8 \, {\left(4 \, a^{3} + 15 \, a\right)} x^{5} + 2 \, {\left(8 \, a^{4} + 80 \, a^{2} + 67\right)} x^{4} + 64 \, a^{4} - 8 \, {\left(20 \, a^{3} + 37 \, a\right)} x^{3} + 4 \, {\left(16 \, a^{4} + 74 \, a^{2} + 15\right)} x^{2} + 48 \, a^{2} - 4 \, {\left(a x^{6} + 2 \, {\left(2 \, a^{2} + 3\right)} x^{5} - {\left(4 \, a^{3} - a\right)} x^{4} - 8 \, a^{3} - {\left(4 \, a^{3} + 29 \, a\right)} x^{2} + 20 \, x^{3} + 2 \, {\left(10 \, a^{2} + 3\right)} x - {\left(4 \, a x^{5} + x^{6} - {\left(4 \, a^{2} - 15\right)} x^{4} - 16 \, a x^{3} + {\left(4 \, a^{2} + 15\right)} x^{2} + 8 \, a^{2} - 20 \, a x + 1\right)} \sqrt{a^{2} + 1} - 5 \, a\right)} \sqrt{-a x^{2} + x^{3} - a + x} \sqrt{-2 \, a - 2 \, \sqrt{a^{2} + 1}} - 8 \, {\left(24 \, a^{3} + 13 \, a\right)} x + 16 \, {\left(a x^{6} - x^{7} + 15 \, a x^{4} - 7 \, x^{5} - {\left(12 \, a^{2} + 7\right)} x^{3} + 4 \, a^{3} + {\left(4 \, a^{3} + 15 \, a\right)} x^{2} - {\left(12 \, a^{2} + 1\right)} x + a\right)} \sqrt{a^{2} + 1} + 1}{8 \, a x^{7} - x^{8} - 4 \, {\left(6 \, a^{2} - 1\right)} x^{6} + 8 \, {\left(4 \, a^{3} - 3 \, a\right)} x^{5} - 2 \, {\left(8 \, a^{4} - 24 \, a^{2} + 3\right)} x^{4} - 8 \, {\left(4 \, a^{3} - 3 \, a\right)} x^{3} - 4 \, {\left(6 \, a^{2} - 1\right)} x^{2} - 8 \, a x - 1}\right), -\frac{1}{2} \, \sqrt{2 \, a + 2 \, \sqrt{a^{2} + 1}} \arctan\left(-\frac{\sqrt{-a x^{2} + x^{3} - a + x} {\left(2 \, a^{2} - 2 \, a x - x^{2} - 2 \, \sqrt{a^{2} + 1} {\left(a - x\right)} - 1\right)} \sqrt{2 \, a + 2 \, \sqrt{a^{2} + 1}}}{4 \, {\left(a x^{2} - x^{3} + a - x\right)}}\right)\right]"," ",0,"[1/4*sqrt(-2*a - 2*sqrt(a^2 + 1))*log(-(8*a*x^7 + x^8 + 4*(2*a^2 + 15)*x^6 - 8*(4*a^3 + 15*a)*x^5 + 2*(8*a^4 + 80*a^2 + 67)*x^4 + 64*a^4 - 8*(20*a^3 + 37*a)*x^3 + 4*(16*a^4 + 74*a^2 + 15)*x^2 + 48*a^2 - 4*(a*x^6 + 2*(2*a^2 + 3)*x^5 - (4*a^3 - a)*x^4 - 8*a^3 - (4*a^3 + 29*a)*x^2 + 20*x^3 + 2*(10*a^2 + 3)*x - (4*a*x^5 + x^6 - (4*a^2 - 15)*x^4 - 16*a*x^3 + (4*a^2 + 15)*x^2 + 8*a^2 - 20*a*x + 1)*sqrt(a^2 + 1) - 5*a)*sqrt(-a*x^2 + x^3 - a + x)*sqrt(-2*a - 2*sqrt(a^2 + 1)) - 8*(24*a^3 + 13*a)*x + 16*(a*x^6 - x^7 + 15*a*x^4 - 7*x^5 - (12*a^2 + 7)*x^3 + 4*a^3 + (4*a^3 + 15*a)*x^2 - (12*a^2 + 1)*x + a)*sqrt(a^2 + 1) + 1)/(8*a*x^7 - x^8 - 4*(6*a^2 - 1)*x^6 + 8*(4*a^3 - 3*a)*x^5 - 2*(8*a^4 - 24*a^2 + 3)*x^4 - 8*(4*a^3 - 3*a)*x^3 - 4*(6*a^2 - 1)*x^2 - 8*a*x - 1)), -1/2*sqrt(2*a + 2*sqrt(a^2 + 1))*arctan(-1/4*sqrt(-a*x^2 + x^3 - a + x)*(2*a^2 - 2*a*x - x^2 - 2*sqrt(a^2 + 1)*(a - x) - 1)*sqrt(2*a + 2*sqrt(a^2 + 1))/(a*x^2 - x^3 + a - x))]","A",0
53,-2,0,0,0.000000," ","integrate((b*x+a)/(-x^2+1)^(1/3)/(x^2+3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
54,-2,0,0,0.000000," ","integrate((b*x+a)/(-x^2+3)/(x^2+1)^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (trace 0)","F(-2)",0
55,1,171,0,4.195562," ","integrate(1/x/(3*x^2-6*x+4)^(1/3),x, algorithm=""fricas"")","-\frac{1}{6} \cdot 4^{\frac{1}{6}} \sqrt{3} \arctan\left(\frac{4^{\frac{1}{6}} \sqrt{3} {\left(4^{\frac{1}{3}} x^{3} + 2 \cdot 4^{\frac{2}{3}} {\left(3 \, x^{2} - 6 \, x + 4\right)}^{\frac{2}{3}} {\left(x - 2\right)} + 4 \, {\left(3 \, x^{2} - 6 \, x + 4\right)}^{\frac{1}{3}} {\left(x^{2} - 4 \, x + 4\right)}\right)}}{6 \, {\left(x^{3} - 12 \, x^{2} + 24 \, x - 16\right)}}\right) + \frac{1}{12} \cdot 4^{\frac{2}{3}} \log\left(\frac{4^{\frac{1}{3}} {\left(x - 2\right)} + 2 \, {\left(3 \, x^{2} - 6 \, x + 4\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{24} \cdot 4^{\frac{2}{3}} \log\left(\frac{4^{\frac{2}{3}} {\left(3 \, x^{2} - 6 \, x + 4\right)}^{\frac{2}{3}} + 4^{\frac{1}{3}} {\left(x^{2} - 4 \, x + 4\right)} - 2 \, {\left(3 \, x^{2} - 6 \, x + 4\right)}^{\frac{1}{3}} {\left(x - 2\right)}}{x^{2}}\right)"," ",0,"-1/6*4^(1/6)*sqrt(3)*arctan(1/6*4^(1/6)*sqrt(3)*(4^(1/3)*x^3 + 2*4^(2/3)*(3*x^2 - 6*x + 4)^(2/3)*(x - 2) + 4*(3*x^2 - 6*x + 4)^(1/3)*(x^2 - 4*x + 4))/(x^3 - 12*x^2 + 24*x - 16)) + 1/12*4^(2/3)*log((4^(1/3)*(x - 2) + 2*(3*x^2 - 6*x + 4)^(1/3))/x) - 1/24*4^(2/3)*log((4^(2/3)*(3*x^2 - 6*x + 4)^(2/3) + 4^(1/3)*(x^2 - 4*x + 4) - 2*(3*x^2 - 6*x + 4)^(1/3)*(x - 2))/x^2)","B",0
56,1,96,0,0.803464," ","integrate(x*(-x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{2} - \frac{1}{9} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} x - 2 \, \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x}\right) - \frac{1}{9} \, \log\left(\frac{x + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{18} \, \log\left(\frac{x^{2} - {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/3*(-x^3 + 1)^(1/3)*x^2 - 1/9*sqrt(3)*arctan(-1/3*(sqrt(3)*x - 2*sqrt(3)*(-x^3 + 1)^(1/3))/x) - 1/9*log((x + (-x^3 + 1)^(1/3))/x) + 1/18*log((x^2 - (-x^3 + 1)^(1/3)*x + (-x^3 + 1)^(2/3))/x^2)","A",0
57,1,73,0,0.862994," ","integrate((-x^3+1)^(1/3)/x,x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - \frac{1}{6} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{2}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(2/3*sqrt(3)*(-x^3 + 1)^(1/3) + 1/3*sqrt(3)) + (-x^3 + 1)^(1/3) - 1/6*log((-x^3 + 1)^(2/3) + (-x^3 + 1)^(1/3) + 1) + 1/3*log((-x^3 + 1)^(1/3) - 1)","A",0
58,-2,0,0,0.000000," ","integrate((-x^3+1)^(1/3)/(1+x),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
59,1,3085,0,15.536451," ","integrate((-x^3+1)^(1/3)/(x^2-x+1),x, algorithm=""fricas"")","-\frac{1}{9} \, \sqrt{3} 2^{\frac{1}{3}} \arctan\left(\frac{26795748 \, \sqrt{3} 2^{\frac{2}{3}} {\left(586745 \, x^{11} - 706109 \, x^{10} - 191742 \, x^{9} - 43779 \, x^{8} + 396304 \, x^{7} + 323715 \, x^{6} - 462255 \, x^{5} + 73568 \, x^{4} + 24102 \, x^{3} + 2372 \, x^{2} - 2008 \, x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 26795748 \, \sqrt{3} 2^{\frac{1}{3}} {\left(340975 \, x^{10} + 46080 \, x^{9} - 970873 \, x^{8} + 685704 \, x^{7} - 289743 \, x^{6} + 397966 \, x^{5} - 203166 \, x^{4} - 21912 \, x^{3} + 29756 \, x^{2} - 4016 \, x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 7 \, \sqrt{273426} 2^{\frac{1}{6}} {\left(6 \, \sqrt{3} 2^{\frac{2}{3}} {\left(338078915 \, x^{10} - 459916473 \, x^{9} - 111133574 \, x^{8} + 235674676 \, x^{7} + 297312537 \, x^{6} - 494815414 \, x^{5} + 244815194 \, x^{4} - 34383000 \, x^{3} - 8933924 \, x^{2} + 2566224 \, x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + \sqrt{3} 2^{\frac{1}{3}} {\left(2332175065 \, x^{12} - 3283524318 \, x^{11} + 1882024851 \, x^{10} - 3919300970 \, x^{9} + 2796090405 \, x^{8} + 610770276 \, x^{7} + 98233512 \, x^{6} + 140867400 \, x^{5} - 1145424564 \, x^{4} + 430987096 \, x^{3} + 108889824 \, x^{2} - 54987072 \, x + 4032064\right)} - 6 \, \sqrt{3} {\left(493920245 \, x^{11} - 452201839 \, x^{10} - 276972599 \, x^{9} - 661557480 \, x^{8} + 1375964914 \, x^{7} - 191435014 \, x^{6} - 333786162 \, x^{5} - 47180632 \, x^{4} + 107411572 \, x^{3} - 13096840 \, x^{2} - 2566224 \, x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)} - 3 \, \sqrt{3} {\left(2247079524645 \, x^{12} - 5276442179264 \, x^{11} + 3816306322874 \, x^{10} - 3280399521884 \, x^{9} + 6278089258290 \, x^{8} - 6181108351032 \, x^{7} + 2698150339136 \, x^{6} + 1210170331680 \, x^{5} - 2558541243960 \, x^{4} + 1136906331664 \, x^{3} - 42652634816 \, x^{2} - 54080708992 \, x + 5152977792\right)}}{3 \, {\left(18230538112975 \, x^{12} - 14115716188440 \, x^{11} - 20854883745366 \, x^{10} + 1856205891292 \, x^{9} + 11854156958820 \, x^{8} + 23868971173080 \, x^{7} - 27900743059560 \, x^{6} + 8785124358048 \, x^{5} - 2880050871456 \, x^{4} + 1047429829408 \, x^{3} + 242964112512 \, x^{2} - 141331907328 \, x + 8096384512\right)}}\right) + \frac{1}{18} \, \sqrt{3} 2^{\frac{1}{3}} \arctan\left(-\frac{13397874 \, \sqrt{3} 2^{\frac{2}{3}} {\left(18803 \, x^{11} - 25367 \, x^{10} - 203754 \, x^{9} + 408021 \, x^{8} - 139829 \, x^{7} + 7128 \, x^{6} - 233871 \, x^{5} + 225275 \, x^{4} - 47094 \, x^{3} - 10225 \, x^{2} + 2921 \, x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 26795748 \, \sqrt{3} 2^{\frac{1}{3}} {\left(10589 \, x^{10} - 73935 \, x^{9} + 63883 \, x^{8} + 142959 \, x^{7} - 173613 \, x^{6} - 31588 \, x^{5} + 79410 \, x^{4} - 4377 \, x^{3} - 13328 \, x^{2} + 2921 \, x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - 7 \, \sqrt{273426} {\left(6 \, \sqrt{3} 2^{\frac{2}{3}} {\left(309683372 \, x^{10} - 328552599 \, x^{9} - 24698630 \, x^{8} - 422031122 \, x^{7} + 702164163 \, x^{6} - 95703451 \, x^{5} - 206316094 \, x^{4} + 60985482 \, x^{3} + 11167816 \, x^{2} - 3733038 \, x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + \sqrt{3} 2^{\frac{1}{3}} {\left(2345654785 \, x^{12} - 2502234618 \, x^{11} - 252041853 \, x^{10} - 4416416426 \, x^{9} + 6899968311 \, x^{8} - 1680852528 \, x^{7} + 1576960038 \, x^{6} - 2990585436 \, x^{5} + 642930363 \, x^{4} + 528479914 \, x^{3} - 117963261 \, x^{2} - 38399466 \, x + 8532241\right)} - 6 \, \sqrt{3} {\left(491687266 \, x^{11} - 516958230 \, x^{10} - 69305552 \, x^{9} - 808934094 \, x^{8} + 1418391515 \, x^{7} - 385704187 \, x^{6} - 112721241 \, x^{5} - 69510422 \, x^{4} + 47121139 \, x^{3} + 11465929 \, x^{2} - 4799203 \, x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{6 \cdot 2^{\frac{2}{3}} {\left(4 \, x^{10} - 27 \, x^{9} + 32 \, x^{8} + 6 \, x^{7} + 12 \, x^{6} - 65 \, x^{5} + 48 \, x^{4} - 6 \, x^{3} - 4 \, x^{2} + x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - 2^{\frac{1}{3}} {\left(35 \, x^{12} - 66 \, x^{11} - 201 \, x^{10} + 338 \, x^{9} + 90 \, x^{8} - 90 \, x^{7} - 249 \, x^{6} - 18 \, x^{5} + 306 \, x^{4} - 166 \, x^{3} + 15 \, x^{2} + 6 \, x - 1\right)} - 6 \, {\left(x^{11} + 29 \, x^{10} - 93 \, x^{9} + 66 \, x^{8} - 19 \, x^{7} + 87 \, x^{6} - 99 \, x^{5} + 10 \, x^{4} + 27 \, x^{3} - 11 \, x^{2} + x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{12} - 6 \, x^{11} + 21 \, x^{10} - 50 \, x^{9} + 90 \, x^{8} - 126 \, x^{7} + 141 \, x^{6} - 126 \, x^{5} + 90 \, x^{4} - 50 \, x^{3} + 21 \, x^{2} - 6 \, x + 1}} - 3 \, \sqrt{3} {\left(2995162579 \, x^{12} + 315959718008 \, x^{11} - 849682072424 \, x^{10} + 177300060912 \, x^{9} - 508006765899 \, x^{8} + 3583876884636 \, x^{7} - 3031033916540 \, x^{6} - 1410763301208 \, x^{5} + 2375077456341 \, x^{4} - 546587071308 \, x^{3} - 175036021936 \, x^{2} + 63861157012 \, x - 3114267965\right)}}{3 \, {\left(367648430113 \, x^{12} - 1408582980384 \, x^{11} - 1269375810828 \, x^{10} + 5714713216048 \, x^{9} - 1087485936795 \, x^{8} - 126379999188 \, x^{7} - 10319650860540 \, x^{6} + 10854292018608 \, x^{5} - 1383220291365 \, x^{4} - 1828745373668 \, x^{3} + 426327416076 \, x^{2} + 93479232396 \, x - 24922675961\right)}}\right) - \frac{1}{18} \, \sqrt{3} 2^{\frac{1}{3}} \arctan\left(\frac{13397874 \, \sqrt{3} 2^{\frac{2}{3}} {\left(17344 \, x^{11} - 120304 \, x^{10} + 110610 \, x^{9} + 203214 \, x^{8} - 213415 \, x^{7} - 96387 \, x^{6} + 30102 \, x^{5} + 157561 \, x^{4} - 101868 \, x^{3} + 15151 \, x^{2} + 913 \, x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 26795748 \, \sqrt{3} 2^{\frac{1}{3}} {\left(1277 \, x^{10} + 57510 \, x^{9} - 189677 \, x^{8} + 108972 \, x^{7} + 102426 \, x^{6} - 47461 \, x^{5} - 82155 \, x^{4} + 56409 \, x^{3} - 7301 \, x^{2} - 913 \, x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 7 \, \sqrt{273426} {\left(6 \, \sqrt{3} 2^{\frac{2}{3}} {\left(8733539 \, x^{10} - 122586360 \, x^{9} + 269810944 \, x^{8} - 28009538 \, x^{7} - 316185126 \, x^{6} + 161786897 \, x^{5} + 95479640 \, x^{4} - 80193978 \, x^{3} + 11163982 \, x^{2} + 1166814 \, x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - \sqrt{3} 2^{\frac{1}{3}} {\left(1971824 \, x^{12} - 78264612 \, x^{11} + 705529692 \, x^{10} - 1556393152 \, x^{9} + 933849120 \, x^{8} + 135726408 \, x^{7} - 213906684 \, x^{6} + 446158968 \, x^{5} - 582881445 \, x^{4} + 182390318 \, x^{3} + 31120185 \, x^{2} - 12999294 \, x - 833569\right)} + 6 \, \sqrt{3} {\left(12965988 \, x^{11} - 175265260 \, x^{10} + 270273662 \, x^{9} + 299814882 \, x^{8} - 663644613 \, x^{7} + 77553085 \, x^{6} + 286893603 \, x^{5} - 82332150 \, x^{4} - 33723265 \, x^{3} + 10863861 \, x^{2} + 333245 \, x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{6 \cdot 2^{\frac{2}{3}} {\left(143 \, x^{10} - 177 \, x^{9} - 2 \, x^{8} - 54 \, x^{7} + 141 \, x^{6} - 31 \, x^{5} - 18 \, x^{4} - 6 \, x^{3} + 7 \, x^{2} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(1081 \, x^{12} - 1338 \, x^{11} - 15 \, x^{10} - 1130 \, x^{9} + 1962 \, x^{8} - 234 \, x^{7} + 33 \, x^{6} - 630 \, x^{5} + 234 \, x^{4} + 58 \, x^{3} - 15 \, x^{2} - 6 \, x + 1\right)} - 6 \, {\left(227 \, x^{11} - 281 \, x^{10} - 3 \, x^{9} - 162 \, x^{8} + 319 \, x^{7} - 51 \, x^{6} - 21 \, x^{5} - 58 \, x^{4} + 33 \, x^{3} - x^{2} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{12} - 6 \, x^{11} + 21 \, x^{10} - 50 \, x^{9} + 90 \, x^{8} - 126 \, x^{7} + 141 \, x^{6} - 126 \, x^{5} + 90 \, x^{4} - 50 \, x^{3} + 21 \, x^{2} - 6 \, x + 1}} - 3 \, \sqrt{3} {\left(67113679084 \, x^{12} - 61534090748 \, x^{11} - 1006807736260 \, x^{10} + 1996201310444 \, x^{9} + 193806523788 \, x^{8} - 2673973669800 \, x^{7} + 775957356356 \, x^{6} + 2110159119756 \, x^{5} - 1821028473882 \, x^{4} + 377014646048 \, x^{3} + 67410900094 \, x^{2} - 19835743048 \, x - 1369553867\right)}}{3 \, {\left(168032067092 \, x^{12} - 2318893136652 \, x^{11} + 4401905935020 \, x^{10} + 1550444734940 \, x^{9} - 6210007783092 \, x^{8} - 1634341806144 \, x^{7} + 6341768478444 \, x^{6} - 948091553244 \, x^{5} - 2281774840272 \, x^{4} + 1036207535072 \, x^{3} - 59480228082 \, x^{2} - 20085678624 \, x - 761048497\right)}}\right) + \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{4 \, \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 2 \, \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x - \sqrt{3} {\left(x^{3} - 1\right)}}{9 \, x^{3} - 1}\right) + \frac{1}{48} \cdot 2^{\frac{1}{3}} \log\left(\frac{7717175424 \, {\left(6 \cdot 2^{\frac{2}{3}} {\left(143 \, x^{10} - 177 \, x^{9} - 2 \, x^{8} - 54 \, x^{7} + 141 \, x^{6} - 31 \, x^{5} - 18 \, x^{4} - 6 \, x^{3} + 7 \, x^{2} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(1081 \, x^{12} - 1338 \, x^{11} - 15 \, x^{10} - 1130 \, x^{9} + 1962 \, x^{8} - 234 \, x^{7} + 33 \, x^{6} - 630 \, x^{5} + 234 \, x^{4} + 58 \, x^{3} - 15 \, x^{2} - 6 \, x + 1\right)} - 6 \, {\left(227 \, x^{11} - 281 \, x^{10} - 3 \, x^{9} - 162 \, x^{8} + 319 \, x^{7} - 51 \, x^{6} - 21 \, x^{5} - 58 \, x^{4} + 33 \, x^{3} - x^{2} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{x^{12} - 6 \, x^{11} + 21 \, x^{10} - 50 \, x^{9} + 90 \, x^{8} - 126 \, x^{7} + 141 \, x^{6} - 126 \, x^{5} + 90 \, x^{4} - 50 \, x^{3} + 21 \, x^{2} - 6 \, x + 1}\right) + \frac{1}{48} \cdot 2^{\frac{1}{3}} \log\left(\frac{1929293856 \, {\left(6 \cdot 2^{\frac{2}{3}} {\left(143 \, x^{10} - 177 \, x^{9} - 2 \, x^{8} - 54 \, x^{7} + 141 \, x^{6} - 31 \, x^{5} - 18 \, x^{4} - 6 \, x^{3} + 7 \, x^{2} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(1081 \, x^{12} - 1338 \, x^{11} - 15 \, x^{10} - 1130 \, x^{9} + 1962 \, x^{8} - 234 \, x^{7} + 33 \, x^{6} - 630 \, x^{5} + 234 \, x^{4} + 58 \, x^{3} - 15 \, x^{2} - 6 \, x + 1\right)} - 6 \, {\left(227 \, x^{11} - 281 \, x^{10} - 3 \, x^{9} - 162 \, x^{8} + 319 \, x^{7} - 51 \, x^{6} - 21 \, x^{5} - 58 \, x^{4} + 33 \, x^{3} - x^{2} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{x^{12} - 6 \, x^{11} + 21 \, x^{10} - 50 \, x^{9} + 90 \, x^{8} - 126 \, x^{7} + 141 \, x^{6} - 126 \, x^{5} + 90 \, x^{4} - 50 \, x^{3} + 21 \, x^{2} - 6 \, x + 1}\right) - \frac{1}{48} \cdot 2^{\frac{1}{3}} \log\left(\frac{7717175424 \, {\left(6 \cdot 2^{\frac{2}{3}} {\left(4 \, x^{10} - 27 \, x^{9} + 32 \, x^{8} + 6 \, x^{7} + 12 \, x^{6} - 65 \, x^{5} + 48 \, x^{4} - 6 \, x^{3} - 4 \, x^{2} + x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - 2^{\frac{1}{3}} {\left(35 \, x^{12} - 66 \, x^{11} - 201 \, x^{10} + 338 \, x^{9} + 90 \, x^{8} - 90 \, x^{7} - 249 \, x^{6} - 18 \, x^{5} + 306 \, x^{4} - 166 \, x^{3} + 15 \, x^{2} + 6 \, x - 1\right)} - 6 \, {\left(x^{11} + 29 \, x^{10} - 93 \, x^{9} + 66 \, x^{8} - 19 \, x^{7} + 87 \, x^{6} - 99 \, x^{5} + 10 \, x^{4} + 27 \, x^{3} - 11 \, x^{2} + x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{x^{12} - 6 \, x^{11} + 21 \, x^{10} - 50 \, x^{9} + 90 \, x^{8} - 126 \, x^{7} + 141 \, x^{6} - 126 \, x^{5} + 90 \, x^{4} - 50 \, x^{3} + 21 \, x^{2} - 6 \, x + 1}\right) - \frac{1}{48} \cdot 2^{\frac{1}{3}} \log\left(\frac{1929293856 \, {\left(6 \cdot 2^{\frac{2}{3}} {\left(4 \, x^{10} - 27 \, x^{9} + 32 \, x^{8} + 6 \, x^{7} + 12 \, x^{6} - 65 \, x^{5} + 48 \, x^{4} - 6 \, x^{3} - 4 \, x^{2} + x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - 2^{\frac{1}{3}} {\left(35 \, x^{12} - 66 \, x^{11} - 201 \, x^{10} + 338 \, x^{9} + 90 \, x^{8} - 90 \, x^{7} - 249 \, x^{6} - 18 \, x^{5} + 306 \, x^{4} - 166 \, x^{3} + 15 \, x^{2} + 6 \, x - 1\right)} - 6 \, {\left(x^{11} + 29 \, x^{10} - 93 \, x^{9} + 66 \, x^{8} - 19 \, x^{7} + 87 \, x^{6} - 99 \, x^{5} + 10 \, x^{4} + 27 \, x^{3} - 11 \, x^{2} + x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{x^{12} - 6 \, x^{11} + 21 \, x^{10} - 50 \, x^{9} + 90 \, x^{8} - 126 \, x^{7} + 141 \, x^{6} - 126 \, x^{5} + 90 \, x^{4} - 50 \, x^{3} + 21 \, x^{2} - 6 \, x + 1}\right) + \frac{1}{6} \, \log\left(3 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x + 1\right)"," ",0,"-1/9*sqrt(3)*2^(1/3)*arctan(1/3*(26795748*sqrt(3)*2^(2/3)*(586745*x^11 - 706109*x^10 - 191742*x^9 - 43779*x^8 + 396304*x^7 + 323715*x^6 - 462255*x^5 + 73568*x^4 + 24102*x^3 + 2372*x^2 - 2008*x)*(-x^3 + 1)^(1/3) + 26795748*sqrt(3)*2^(1/3)*(340975*x^10 + 46080*x^9 - 970873*x^8 + 685704*x^7 - 289743*x^6 + 397966*x^5 - 203166*x^4 - 21912*x^3 + 29756*x^2 - 4016*x)*(-x^3 + 1)^(2/3) + 7*sqrt(273426)*2^(1/6)*(6*sqrt(3)*2^(2/3)*(338078915*x^10 - 459916473*x^9 - 111133574*x^8 + 235674676*x^7 + 297312537*x^6 - 494815414*x^5 + 244815194*x^4 - 34383000*x^3 - 8933924*x^2 + 2566224*x)*(-x^3 + 1)^(2/3) + sqrt(3)*2^(1/3)*(2332175065*x^12 - 3283524318*x^11 + 1882024851*x^10 - 3919300970*x^9 + 2796090405*x^8 + 610770276*x^7 + 98233512*x^6 + 140867400*x^5 - 1145424564*x^4 + 430987096*x^3 + 108889824*x^2 - 54987072*x + 4032064) - 6*sqrt(3)*(493920245*x^11 - 452201839*x^10 - 276972599*x^9 - 661557480*x^8 + 1375964914*x^7 - 191435014*x^6 - 333786162*x^5 - 47180632*x^4 + 107411572*x^3 - 13096840*x^2 - 2566224*x)*(-x^3 + 1)^(1/3)) - 3*sqrt(3)*(2247079524645*x^12 - 5276442179264*x^11 + 3816306322874*x^10 - 3280399521884*x^9 + 6278089258290*x^8 - 6181108351032*x^7 + 2698150339136*x^6 + 1210170331680*x^5 - 2558541243960*x^4 + 1136906331664*x^3 - 42652634816*x^2 - 54080708992*x + 5152977792))/(18230538112975*x^12 - 14115716188440*x^11 - 20854883745366*x^10 + 1856205891292*x^9 + 11854156958820*x^8 + 23868971173080*x^7 - 27900743059560*x^6 + 8785124358048*x^5 - 2880050871456*x^4 + 1047429829408*x^3 + 242964112512*x^2 - 141331907328*x + 8096384512)) + 1/18*sqrt(3)*2^(1/3)*arctan(-1/3*(13397874*sqrt(3)*2^(2/3)*(18803*x^11 - 25367*x^10 - 203754*x^9 + 408021*x^8 - 139829*x^7 + 7128*x^6 - 233871*x^5 + 225275*x^4 - 47094*x^3 - 10225*x^2 + 2921*x)*(-x^3 + 1)^(1/3) + 26795748*sqrt(3)*2^(1/3)*(10589*x^10 - 73935*x^9 + 63883*x^8 + 142959*x^7 - 173613*x^6 - 31588*x^5 + 79410*x^4 - 4377*x^3 - 13328*x^2 + 2921*x)*(-x^3 + 1)^(2/3) - 7*sqrt(273426)*(6*sqrt(3)*2^(2/3)*(309683372*x^10 - 328552599*x^9 - 24698630*x^8 - 422031122*x^7 + 702164163*x^6 - 95703451*x^5 - 206316094*x^4 + 60985482*x^3 + 11167816*x^2 - 3733038*x)*(-x^3 + 1)^(2/3) + sqrt(3)*2^(1/3)*(2345654785*x^12 - 2502234618*x^11 - 252041853*x^10 - 4416416426*x^9 + 6899968311*x^8 - 1680852528*x^7 + 1576960038*x^6 - 2990585436*x^5 + 642930363*x^4 + 528479914*x^3 - 117963261*x^2 - 38399466*x + 8532241) - 6*sqrt(3)*(491687266*x^11 - 516958230*x^10 - 69305552*x^9 - 808934094*x^8 + 1418391515*x^7 - 385704187*x^6 - 112721241*x^5 - 69510422*x^4 + 47121139*x^3 + 11465929*x^2 - 4799203*x)*(-x^3 + 1)^(1/3))*sqrt((6*2^(2/3)*(4*x^10 - 27*x^9 + 32*x^8 + 6*x^7 + 12*x^6 - 65*x^5 + 48*x^4 - 6*x^3 - 4*x^2 + x)*(-x^3 + 1)^(2/3) - 2^(1/3)*(35*x^12 - 66*x^11 - 201*x^10 + 338*x^9 + 90*x^8 - 90*x^7 - 249*x^6 - 18*x^5 + 306*x^4 - 166*x^3 + 15*x^2 + 6*x - 1) - 6*(x^11 + 29*x^10 - 93*x^9 + 66*x^8 - 19*x^7 + 87*x^6 - 99*x^5 + 10*x^4 + 27*x^3 - 11*x^2 + x)*(-x^3 + 1)^(1/3))/(x^12 - 6*x^11 + 21*x^10 - 50*x^9 + 90*x^8 - 126*x^7 + 141*x^6 - 126*x^5 + 90*x^4 - 50*x^3 + 21*x^2 - 6*x + 1)) - 3*sqrt(3)*(2995162579*x^12 + 315959718008*x^11 - 849682072424*x^10 + 177300060912*x^9 - 508006765899*x^8 + 3583876884636*x^7 - 3031033916540*x^6 - 1410763301208*x^5 + 2375077456341*x^4 - 546587071308*x^3 - 175036021936*x^2 + 63861157012*x - 3114267965))/(367648430113*x^12 - 1408582980384*x^11 - 1269375810828*x^10 + 5714713216048*x^9 - 1087485936795*x^8 - 126379999188*x^7 - 10319650860540*x^6 + 10854292018608*x^5 - 1383220291365*x^4 - 1828745373668*x^3 + 426327416076*x^2 + 93479232396*x - 24922675961)) - 1/18*sqrt(3)*2^(1/3)*arctan(1/3*(13397874*sqrt(3)*2^(2/3)*(17344*x^11 - 120304*x^10 + 110610*x^9 + 203214*x^8 - 213415*x^7 - 96387*x^6 + 30102*x^5 + 157561*x^4 - 101868*x^3 + 15151*x^2 + 913*x)*(-x^3 + 1)^(1/3) - 26795748*sqrt(3)*2^(1/3)*(1277*x^10 + 57510*x^9 - 189677*x^8 + 108972*x^7 + 102426*x^6 - 47461*x^5 - 82155*x^4 + 56409*x^3 - 7301*x^2 - 913*x)*(-x^3 + 1)^(2/3) + 7*sqrt(273426)*(6*sqrt(3)*2^(2/3)*(8733539*x^10 - 122586360*x^9 + 269810944*x^8 - 28009538*x^7 - 316185126*x^6 + 161786897*x^5 + 95479640*x^4 - 80193978*x^3 + 11163982*x^2 + 1166814*x)*(-x^3 + 1)^(2/3) - sqrt(3)*2^(1/3)*(1971824*x^12 - 78264612*x^11 + 705529692*x^10 - 1556393152*x^9 + 933849120*x^8 + 135726408*x^7 - 213906684*x^6 + 446158968*x^5 - 582881445*x^4 + 182390318*x^3 + 31120185*x^2 - 12999294*x - 833569) + 6*sqrt(3)*(12965988*x^11 - 175265260*x^10 + 270273662*x^9 + 299814882*x^8 - 663644613*x^7 + 77553085*x^6 + 286893603*x^5 - 82332150*x^4 - 33723265*x^3 + 10863861*x^2 + 333245*x)*(-x^3 + 1)^(1/3))*sqrt((6*2^(2/3)*(143*x^10 - 177*x^9 - 2*x^8 - 54*x^7 + 141*x^6 - 31*x^5 - 18*x^4 - 6*x^3 + 7*x^2 - x)*(-x^3 + 1)^(2/3) + 2^(1/3)*(1081*x^12 - 1338*x^11 - 15*x^10 - 1130*x^9 + 1962*x^8 - 234*x^7 + 33*x^6 - 630*x^5 + 234*x^4 + 58*x^3 - 15*x^2 - 6*x + 1) - 6*(227*x^11 - 281*x^10 - 3*x^9 - 162*x^8 + 319*x^7 - 51*x^6 - 21*x^5 - 58*x^4 + 33*x^3 - x^2 - x)*(-x^3 + 1)^(1/3))/(x^12 - 6*x^11 + 21*x^10 - 50*x^9 + 90*x^8 - 126*x^7 + 141*x^6 - 126*x^5 + 90*x^4 - 50*x^3 + 21*x^2 - 6*x + 1)) - 3*sqrt(3)*(67113679084*x^12 - 61534090748*x^11 - 1006807736260*x^10 + 1996201310444*x^9 + 193806523788*x^8 - 2673973669800*x^7 + 775957356356*x^6 + 2110159119756*x^5 - 1821028473882*x^4 + 377014646048*x^3 + 67410900094*x^2 - 19835743048*x - 1369553867))/(168032067092*x^12 - 2318893136652*x^11 + 4401905935020*x^10 + 1550444734940*x^9 - 6210007783092*x^8 - 1634341806144*x^7 + 6341768478444*x^6 - 948091553244*x^5 - 2281774840272*x^4 + 1036207535072*x^3 - 59480228082*x^2 - 20085678624*x - 761048497)) + 1/3*sqrt(3)*arctan((4*sqrt(3)*(-x^3 + 1)^(1/3)*x^2 + 2*sqrt(3)*(-x^3 + 1)^(2/3)*x - sqrt(3)*(x^3 - 1))/(9*x^3 - 1)) + 1/48*2^(1/3)*log(7717175424*(6*2^(2/3)*(143*x^10 - 177*x^9 - 2*x^8 - 54*x^7 + 141*x^6 - 31*x^5 - 18*x^4 - 6*x^3 + 7*x^2 - x)*(-x^3 + 1)^(2/3) + 2^(1/3)*(1081*x^12 - 1338*x^11 - 15*x^10 - 1130*x^9 + 1962*x^8 - 234*x^7 + 33*x^6 - 630*x^5 + 234*x^4 + 58*x^3 - 15*x^2 - 6*x + 1) - 6*(227*x^11 - 281*x^10 - 3*x^9 - 162*x^8 + 319*x^7 - 51*x^6 - 21*x^5 - 58*x^4 + 33*x^3 - x^2 - x)*(-x^3 + 1)^(1/3))/(x^12 - 6*x^11 + 21*x^10 - 50*x^9 + 90*x^8 - 126*x^7 + 141*x^6 - 126*x^5 + 90*x^4 - 50*x^3 + 21*x^2 - 6*x + 1)) + 1/48*2^(1/3)*log(1929293856*(6*2^(2/3)*(143*x^10 - 177*x^9 - 2*x^8 - 54*x^7 + 141*x^6 - 31*x^5 - 18*x^4 - 6*x^3 + 7*x^2 - x)*(-x^3 + 1)^(2/3) + 2^(1/3)*(1081*x^12 - 1338*x^11 - 15*x^10 - 1130*x^9 + 1962*x^8 - 234*x^7 + 33*x^6 - 630*x^5 + 234*x^4 + 58*x^3 - 15*x^2 - 6*x + 1) - 6*(227*x^11 - 281*x^10 - 3*x^9 - 162*x^8 + 319*x^7 - 51*x^6 - 21*x^5 - 58*x^4 + 33*x^3 - x^2 - x)*(-x^3 + 1)^(1/3))/(x^12 - 6*x^11 + 21*x^10 - 50*x^9 + 90*x^8 - 126*x^7 + 141*x^6 - 126*x^5 + 90*x^4 - 50*x^3 + 21*x^2 - 6*x + 1)) - 1/48*2^(1/3)*log(7717175424*(6*2^(2/3)*(4*x^10 - 27*x^9 + 32*x^8 + 6*x^7 + 12*x^6 - 65*x^5 + 48*x^4 - 6*x^3 - 4*x^2 + x)*(-x^3 + 1)^(2/3) - 2^(1/3)*(35*x^12 - 66*x^11 - 201*x^10 + 338*x^9 + 90*x^8 - 90*x^7 - 249*x^6 - 18*x^5 + 306*x^4 - 166*x^3 + 15*x^2 + 6*x - 1) - 6*(x^11 + 29*x^10 - 93*x^9 + 66*x^8 - 19*x^7 + 87*x^6 - 99*x^5 + 10*x^4 + 27*x^3 - 11*x^2 + x)*(-x^3 + 1)^(1/3))/(x^12 - 6*x^11 + 21*x^10 - 50*x^9 + 90*x^8 - 126*x^7 + 141*x^6 - 126*x^5 + 90*x^4 - 50*x^3 + 21*x^2 - 6*x + 1)) - 1/48*2^(1/3)*log(1929293856*(6*2^(2/3)*(4*x^10 - 27*x^9 + 32*x^8 + 6*x^7 + 12*x^6 - 65*x^5 + 48*x^4 - 6*x^3 - 4*x^2 + x)*(-x^3 + 1)^(2/3) - 2^(1/3)*(35*x^12 - 66*x^11 - 201*x^10 + 338*x^9 + 90*x^8 - 90*x^7 - 249*x^6 - 18*x^5 + 306*x^4 - 166*x^3 + 15*x^2 + 6*x - 1) - 6*(x^11 + 29*x^10 - 93*x^9 + 66*x^8 - 19*x^7 + 87*x^6 - 99*x^5 + 10*x^4 + 27*x^3 - 11*x^2 + x)*(-x^3 + 1)^(1/3))/(x^12 - 6*x^11 + 21*x^10 - 50*x^9 + 90*x^8 - 126*x^7 + 141*x^6 - 126*x^5 + 90*x^4 - 50*x^3 + 21*x^2 - 6*x + 1)) + 1/6*log(3*(-x^3 + 1)^(1/3)*x^2 + 3*(-x^3 + 1)^(2/3)*x + 1)","B",0
60,-2,0,0,0.000000," ","integrate((-x^3+1)^(1/3)/(2+x),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
61,0,0,0,18.703212," ","integrate((2+x)/(x^2+x+1)/(x^3+2)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(x^{3} + 2\right)}^{\frac{2}{3}} {\left(x + 2\right)}}{x^{5} + x^{4} + x^{3} + 2 \, x^{2} + 2 \, x + 2}, x\right)"," ",0,"integral((x^3 + 2)^(2/3)*(x + 2)/(x^5 + x^4 + x^3 + 2*x^2 + 2*x + 2), x)","F",0
62,1,23,0,0.885393," ","integrate((160*x^3+30*x^2-3*x+3)/(320*x^4+80*x^3-12*x^2+24*x+9),x, algorithm=""fricas"")","\frac{1}{8} \, \log\left(320 \, x^{4} + 80 \, x^{3} - 12 \, x^{2} + 24 \, x + 9\right)"," ",0,"1/8*log(320*x^4 + 80*x^3 - 12*x^2 + 24*x + 9)","A",0
63,1,43,0,0.772930," ","integrate((20*x^2+12*x+3)/(320*x^4+80*x^3-12*x^2+24*x+9),x, algorithm=""fricas"")","\frac{1}{22} \, \sqrt{11} \arctan\left(\frac{1}{66} \, \sqrt{11} {\left(800 \, x^{3} - 40 \, x^{2} + 30 \, x + 57\right)}\right) + \frac{1}{22} \, \sqrt{11} \arctan\left(\frac{1}{55} \, \sqrt{11} {\left(40 \, x - 7\right)}\right)"," ",0,"1/22*sqrt(11)*arctan(1/66*sqrt(11)*(800*x^3 - 40*x^2 + 30*x + 57)) + 1/22*sqrt(11)*arctan(1/55*sqrt(11)*(40*x - 7))","A",0
64,1,66,0,0.960610," ","integrate((2560*x^3-400*x^2-576*x-84)/(320*x^4+80*x^3-12*x^2+24*x+9),x, algorithm=""fricas"")","-2 \, \sqrt{11} \arctan\left(\frac{1}{66} \, \sqrt{11} {\left(800 \, x^{3} - 40 \, x^{2} + 30 \, x + 57\right)}\right) - 2 \, \sqrt{11} \arctan\left(\frac{1}{55} \, \sqrt{11} {\left(40 \, x - 7\right)}\right) + 2 \, \log\left(320 \, x^{4} + 80 \, x^{3} - 12 \, x^{2} + 24 \, x + 9\right)"," ",0,"-2*sqrt(11)*arctan(1/66*sqrt(11)*(800*x^3 - 40*x^2 + 30*x + 57)) - 2*sqrt(11)*arctan(1/55*sqrt(11)*(40*x - 7)) + 2*log(320*x^4 + 80*x^3 - 12*x^2 + 24*x + 9)","A",0
65,1,56,0,0.704397," ","integrate((-x^4+1)^(1/2)/(x^4+1),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{\sqrt{-x^{4} + 1} x}{x^{2} - 1}\right) + \frac{1}{4} \, \log\left(-\frac{x^{4} - 2 \, x^{2} - 2 \, \sqrt{-x^{4} + 1} x - 1}{x^{4} + 1}\right)"," ",0,"-1/2*arctan(sqrt(-x^4 + 1)*x/(x^2 - 1)) + 1/4*log(-(x^4 - 2*x^2 - 2*sqrt(-x^4 + 1)*x - 1)/(x^4 + 1))","A",0
66,1,61,0,1.046322," ","integrate((x^4+1)^(1/2)/(-x^4+1),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{\sqrt{2} x}{\sqrt{x^{4} + 1}}\right) + \frac{1}{8} \, \sqrt{2} \log\left(\frac{x^{4} + 2 \, \sqrt{2} \sqrt{x^{4} + 1} x + 2 \, x^{2} + 1}{x^{4} - 2 \, x^{2} + 1}\right)"," ",0,"1/4*sqrt(2)*arctan(sqrt(2)*x/sqrt(x^4 + 1)) + 1/8*sqrt(2)*log((x^4 + 2*sqrt(2)*sqrt(x^4 + 1)*x + 2*x^2 + 1)/(x^4 - 2*x^2 + 1))","A",0
67,1,359,0,1.112629," ","integrate((x^4+p*x^2+1)^(1/2)/(-x^4+1),x, algorithm=""fricas"")","\left[\frac{1}{8} \, \sqrt{p - 2} \log\left(\frac{x^{4} + 2 \, {\left(p - 1\right)} x^{2} - 2 \, \sqrt{x^{4} + p x^{2} + 1} \sqrt{p - 2} x + 1}{x^{4} + 2 \, x^{2} + 1}\right) + \frac{1}{8} \, \sqrt{p + 2} \log\left(\frac{x^{4} + 2 \, {\left(p + 1\right)} x^{2} + 2 \, \sqrt{x^{4} + p x^{2} + 1} \sqrt{p + 2} x + 1}{x^{4} - 2 \, x^{2} + 1}\right), \frac{1}{4} \, \sqrt{-p + 2} \arctan\left(\frac{\sqrt{-p + 2} x}{\sqrt{x^{4} + p x^{2} + 1}}\right) + \frac{1}{8} \, \sqrt{p + 2} \log\left(\frac{x^{4} + 2 \, {\left(p + 1\right)} x^{2} + 2 \, \sqrt{x^{4} + p x^{2} + 1} \sqrt{p + 2} x + 1}{x^{4} - 2 \, x^{2} + 1}\right), -\frac{1}{4} \, \sqrt{-p - 2} \arctan\left(\frac{\sqrt{x^{4} + p x^{2} + 1} \sqrt{-p - 2}}{{\left(p + 2\right)} x}\right) + \frac{1}{8} \, \sqrt{p - 2} \log\left(\frac{x^{4} + 2 \, {\left(p - 1\right)} x^{2} - 2 \, \sqrt{x^{4} + p x^{2} + 1} \sqrt{p - 2} x + 1}{x^{4} + 2 \, x^{2} + 1}\right), \frac{1}{4} \, \sqrt{-p + 2} \arctan\left(\frac{\sqrt{-p + 2} x}{\sqrt{x^{4} + p x^{2} + 1}}\right) - \frac{1}{4} \, \sqrt{-p - 2} \arctan\left(\frac{\sqrt{x^{4} + p x^{2} + 1} \sqrt{-p - 2}}{{\left(p + 2\right)} x}\right)\right]"," ",0,"[1/8*sqrt(p - 2)*log((x^4 + 2*(p - 1)*x^2 - 2*sqrt(x^4 + p*x^2 + 1)*sqrt(p - 2)*x + 1)/(x^4 + 2*x^2 + 1)) + 1/8*sqrt(p + 2)*log((x^4 + 2*(p + 1)*x^2 + 2*sqrt(x^4 + p*x^2 + 1)*sqrt(p + 2)*x + 1)/(x^4 - 2*x^2 + 1)), 1/4*sqrt(-p + 2)*arctan(sqrt(-p + 2)*x/sqrt(x^4 + p*x^2 + 1)) + 1/8*sqrt(p + 2)*log((x^4 + 2*(p + 1)*x^2 + 2*sqrt(x^4 + p*x^2 + 1)*sqrt(p + 2)*x + 1)/(x^4 - 2*x^2 + 1)), -1/4*sqrt(-p - 2)*arctan(sqrt(x^4 + p*x^2 + 1)*sqrt(-p - 2)/((p + 2)*x)) + 1/8*sqrt(p - 2)*log((x^4 + 2*(p - 1)*x^2 - 2*sqrt(x^4 + p*x^2 + 1)*sqrt(p - 2)*x + 1)/(x^4 + 2*x^2 + 1)), 1/4*sqrt(-p + 2)*arctan(sqrt(-p + 2)*x/sqrt(x^4 + p*x^2 + 1)) - 1/4*sqrt(-p - 2)*arctan(sqrt(x^4 + p*x^2 + 1)*sqrt(-p - 2)/((p + 2)*x))]","A",0
68,1,2667,0,5.719390," ","integrate((-x^4+p*x^2+1)^(1/2)/(x^4+1),x, algorithm=""fricas"")","-\frac{8 \, \sqrt{2} \sqrt{p^{2} + \sqrt{p^{2} + 4} p + 4} {\left(p^{2} + 4\right)}^{\frac{3}{4}} \arctan\left(\frac{2 \, {\left(p^{3} + 4 \, p\right)} x^{12} - 2 \, {\left(p^{4} - 2 \, p^{2} - 24\right)} x^{10} - 20 \, {\left(p^{3} + 4 \, p\right)} x^{8} + 2 \, {\left(3 \, p^{4} + 4 \, p^{2} - 32\right)} x^{6} + 10 \, {\left(p^{3} + 4 \, p\right)} x^{4} + 4 \, {\left(p^{2} + 4\right)} x^{2} - 2 \, {\left({\left(p^{2} + 4\right)} x^{12} - {\left(p^{3} + 4 \, p\right)} x^{10} - {\left(p^{3} + 4 \, p\right)} x^{6} - {\left(p^{2} + 4\right)} x^{4} + {\left(p x^{12} - {\left(p^{2} - 6\right)} x^{10} - 10 \, p x^{8} + {\left(3 \, p^{2} - 8\right)} x^{6} + 5 \, p x^{4} + 2 \, x^{2}\right)} \sqrt{p^{2} + 4}\right)} \sqrt{p^{2} + 4} + 2 \, {\left({\left(p^{2} + 4\right)} x^{12} - {\left(p^{3} + 4 \, p\right)} x^{10} - {\left(p^{3} + 4 \, p\right)} x^{6} - {\left(p^{2} + 4\right)} x^{4}\right)} \sqrt{p^{2} + 4} + \sqrt{p^{2} + \sqrt{p^{2} + 4} p + 4} {\left(2 \, {\left(\sqrt{2} {\left(x^{9} - p x^{7} - x^{5}\right)} \sqrt{-x^{4} + p x^{2} + 1} \sqrt{p^{2} + 4} + \sqrt{2} {\left(x^{11} - 2 \, p x^{9} + {\left(p^{2} - 2\right)} x^{7} + 2 \, p x^{5} + x^{3}\right)} \sqrt{-x^{4} + p x^{2} + 1}\right)} {\left(p^{2} + 4\right)}^{\frac{3}{4}} - {\left(\sqrt{2} {\left(p x^{9} + 8 \, x^{7} - 6 \, p x^{5} + 2 \, p^{2} x^{3} + p x\right)} \sqrt{-x^{4} + p x^{2} + 1} \sqrt{p^{2} + 4} + \sqrt{2} {\left({\left(p^{2} + 4\right)} x^{9} + 4 \, {\left(p^{2} + 4\right)} x^{5} - 2 \, {\left(p^{3} + 4 \, p\right)} x^{3} - {\left(p^{2} + 4\right)} x\right)} \sqrt{-x^{4} + p x^{2} + 1}\right)} {\left(p^{2} + 4\right)}^{\frac{1}{4}}\right)} - {\left(2 \, {\left({\left(p^{3} + 4 \, p\right)} x^{8} + 4 \, {\left(p^{2} + 4\right)} x^{6} - {\left(p^{3} + 4 \, p\right)} x^{4}\right)} \sqrt{-x^{4} + p x^{2} + 1} \sqrt{p^{2} + 4} + 2 \, {\left({\left(p^{4} + 6 \, p^{2} + 8\right)} x^{8} + 4 \, {\left(p^{3} + 4 \, p\right)} x^{6} - {\left(p^{4} - 4 \, p^{2} - 32\right)} x^{4} - 4 \, {\left(p^{3} + 4 \, p\right)} x^{2} - 2 \, p^{2} - 8\right)} \sqrt{-x^{4} + p x^{2} + 1} - 2 \, {\left({\left(p x^{10} - {\left(p^{2} - 4\right)} x^{8} - 6 \, p x^{6} + {\left(p^{2} - 4\right)} x^{4} + p x^{2}\right)} \sqrt{-x^{4} + p x^{2} + 1} \sqrt{p^{2} + 4} + {\left({\left(p^{2} + 4\right)} x^{10} - {\left(p^{3} + 4 \, p\right)} x^{8} - 2 \, {\left(p^{2} + 4\right)} x^{6} + {\left(p^{3} + 4 \, p\right)} x^{4} + {\left(p^{2} + 4\right)} x^{2}\right)} \sqrt{-x^{4} + p x^{2} + 1}\right)} \sqrt{p^{2} + 4} - \sqrt{p^{2} + \sqrt{p^{2} + 4} p + 4} {\left({\left(\sqrt{2} {\left(x^{11} - p x^{9} - p x^{5} - x^{3}\right)} \sqrt{p^{2} + 4} + \sqrt{2} {\left(2 \, x^{13} - 5 \, p x^{11} + {\left(3 \, p^{2} - 8\right)} x^{9} + 10 \, p x^{7} - {\left(p^{2} - 6\right)} x^{5} - p x^{3}\right)}\right)} {\left(p^{2} + 4\right)}^{\frac{3}{4}} - {\left(\sqrt{2} {\left(p x^{11} - {\left(p^{2} - 6\right)} x^{9} - 10 \, p x^{7} + {\left(3 \, p^{2} - 8\right)} x^{5} + 5 \, p x^{3} + 2 \, x\right)} \sqrt{p^{2} + 4} + \sqrt{2} {\left({\left(p^{2} + 4\right)} x^{11} - {\left(p^{3} + 4 \, p\right)} x^{9} - {\left(p^{3} + 4 \, p\right)} x^{5} - {\left(p^{2} + 4\right)} x^{3}\right)}\right)} {\left(p^{2} + 4\right)}^{\frac{1}{4}}\right)}\right)} \sqrt{-\frac{{\left(p^{2} + 4\right)} x^{4} - {\left(p^{2} + 4\right)}^{\frac{3}{2}} x^{2} - \sqrt{2} \sqrt{-x^{4} + p x^{2} + 1} \sqrt{p^{2} + \sqrt{p^{2} + 4} p + 4} {\left(p^{2} + 4\right)}^{\frac{3}{4}} x - {\left(p^{3} + 4 \, p\right)} x^{2} - p^{2} - 4}{{\left(p^{2} + 4\right)} x^{4} + p^{2} + 4}}}{4 \, {\left({\left(p^{2} + 4\right)} x^{12} - 3 \, {\left(p^{3} + 4 \, p\right)} x^{10} + {\left(2 \, p^{4} + p^{2} - 28\right)} x^{8} + 10 \, {\left(p^{3} + 4 \, p\right)} x^{6} - {\left(2 \, p^{4} + p^{2} - 28\right)} x^{4} - 3 \, {\left(p^{3} + 4 \, p\right)} x^{2} - p^{2} - 4\right)}}\right) + 8 \, \sqrt{2} \sqrt{p^{2} + \sqrt{p^{2} + 4} p + 4} {\left(p^{2} + 4\right)}^{\frac{3}{4}} \arctan\left(-\frac{2 \, {\left(p^{3} + 4 \, p\right)} x^{12} - 2 \, {\left(p^{4} - 2 \, p^{2} - 24\right)} x^{10} - 20 \, {\left(p^{3} + 4 \, p\right)} x^{8} + 2 \, {\left(3 \, p^{4} + 4 \, p^{2} - 32\right)} x^{6} + 10 \, {\left(p^{3} + 4 \, p\right)} x^{4} + 4 \, {\left(p^{2} + 4\right)} x^{2} - 2 \, {\left({\left(p^{2} + 4\right)} x^{12} - {\left(p^{3} + 4 \, p\right)} x^{10} - {\left(p^{3} + 4 \, p\right)} x^{6} - {\left(p^{2} + 4\right)} x^{4} + {\left(p x^{12} - {\left(p^{2} - 6\right)} x^{10} - 10 \, p x^{8} + {\left(3 \, p^{2} - 8\right)} x^{6} + 5 \, p x^{4} + 2 \, x^{2}\right)} \sqrt{p^{2} + 4}\right)} \sqrt{p^{2} + 4} + 2 \, {\left({\left(p^{2} + 4\right)} x^{12} - {\left(p^{3} + 4 \, p\right)} x^{10} - {\left(p^{3} + 4 \, p\right)} x^{6} - {\left(p^{2} + 4\right)} x^{4}\right)} \sqrt{p^{2} + 4} - \sqrt{p^{2} + \sqrt{p^{2} + 4} p + 4} {\left(2 \, {\left(\sqrt{2} {\left(x^{9} - p x^{7} - x^{5}\right)} \sqrt{-x^{4} + p x^{2} + 1} \sqrt{p^{2} + 4} + \sqrt{2} {\left(x^{11} - 2 \, p x^{9} + {\left(p^{2} - 2\right)} x^{7} + 2 \, p x^{5} + x^{3}\right)} \sqrt{-x^{4} + p x^{2} + 1}\right)} {\left(p^{2} + 4\right)}^{\frac{3}{4}} - {\left(\sqrt{2} {\left(p x^{9} + 8 \, x^{7} - 6 \, p x^{5} + 2 \, p^{2} x^{3} + p x\right)} \sqrt{-x^{4} + p x^{2} + 1} \sqrt{p^{2} + 4} + \sqrt{2} {\left({\left(p^{2} + 4\right)} x^{9} + 4 \, {\left(p^{2} + 4\right)} x^{5} - 2 \, {\left(p^{3} + 4 \, p\right)} x^{3} - {\left(p^{2} + 4\right)} x\right)} \sqrt{-x^{4} + p x^{2} + 1}\right)} {\left(p^{2} + 4\right)}^{\frac{1}{4}}\right)} - {\left(2 \, {\left({\left(p^{3} + 4 \, p\right)} x^{8} + 4 \, {\left(p^{2} + 4\right)} x^{6} - {\left(p^{3} + 4 \, p\right)} x^{4}\right)} \sqrt{-x^{4} + p x^{2} + 1} \sqrt{p^{2} + 4} + 2 \, {\left({\left(p^{4} + 6 \, p^{2} + 8\right)} x^{8} + 4 \, {\left(p^{3} + 4 \, p\right)} x^{6} - {\left(p^{4} - 4 \, p^{2} - 32\right)} x^{4} - 4 \, {\left(p^{3} + 4 \, p\right)} x^{2} - 2 \, p^{2} - 8\right)} \sqrt{-x^{4} + p x^{2} + 1} - 2 \, {\left({\left(p x^{10} - {\left(p^{2} - 4\right)} x^{8} - 6 \, p x^{6} + {\left(p^{2} - 4\right)} x^{4} + p x^{2}\right)} \sqrt{-x^{4} + p x^{2} + 1} \sqrt{p^{2} + 4} + {\left({\left(p^{2} + 4\right)} x^{10} - {\left(p^{3} + 4 \, p\right)} x^{8} - 2 \, {\left(p^{2} + 4\right)} x^{6} + {\left(p^{3} + 4 \, p\right)} x^{4} + {\left(p^{2} + 4\right)} x^{2}\right)} \sqrt{-x^{4} + p x^{2} + 1}\right)} \sqrt{p^{2} + 4} + \sqrt{p^{2} + \sqrt{p^{2} + 4} p + 4} {\left({\left(\sqrt{2} {\left(x^{11} - p x^{9} - p x^{5} - x^{3}\right)} \sqrt{p^{2} + 4} + \sqrt{2} {\left(2 \, x^{13} - 5 \, p x^{11} + {\left(3 \, p^{2} - 8\right)} x^{9} + 10 \, p x^{7} - {\left(p^{2} - 6\right)} x^{5} - p x^{3}\right)}\right)} {\left(p^{2} + 4\right)}^{\frac{3}{4}} - {\left(\sqrt{2} {\left(p x^{11} - {\left(p^{2} - 6\right)} x^{9} - 10 \, p x^{7} + {\left(3 \, p^{2} - 8\right)} x^{5} + 5 \, p x^{3} + 2 \, x\right)} \sqrt{p^{2} + 4} + \sqrt{2} {\left({\left(p^{2} + 4\right)} x^{11} - {\left(p^{3} + 4 \, p\right)} x^{9} - {\left(p^{3} + 4 \, p\right)} x^{5} - {\left(p^{2} + 4\right)} x^{3}\right)}\right)} {\left(p^{2} + 4\right)}^{\frac{1}{4}}\right)}\right)} \sqrt{-\frac{{\left(p^{2} + 4\right)} x^{4} - {\left(p^{2} + 4\right)}^{\frac{3}{2}} x^{2} + \sqrt{2} \sqrt{-x^{4} + p x^{2} + 1} \sqrt{p^{2} + \sqrt{p^{2} + 4} p + 4} {\left(p^{2} + 4\right)}^{\frac{3}{4}} x - {\left(p^{3} + 4 \, p\right)} x^{2} - p^{2} - 4}{{\left(p^{2} + 4\right)} x^{4} + p^{2} + 4}}}{4 \, {\left({\left(p^{2} + 4\right)} x^{12} - 3 \, {\left(p^{3} + 4 \, p\right)} x^{10} + {\left(2 \, p^{4} + p^{2} - 28\right)} x^{8} + 10 \, {\left(p^{3} + 4 \, p\right)} x^{6} - {\left(2 \, p^{4} + p^{2} - 28\right)} x^{4} - 3 \, {\left(p^{3} + 4 \, p\right)} x^{2} - p^{2} - 4\right)}}\right) - {\left(\sqrt{2} \sqrt{p^{2} + 4} p - \sqrt{2} {\left(p^{2} + 4\right)}\right)} \sqrt{p^{2} + \sqrt{p^{2} + 4} p + 4} {\left(p^{2} + 4\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(p^{2} + 4\right)} x^{4} - {\left(p^{2} + 4\right)}^{\frac{3}{2}} x^{2} + \sqrt{2} \sqrt{-x^{4} + p x^{2} + 1} \sqrt{p^{2} + \sqrt{p^{2} + 4} p + 4} {\left(p^{2} + 4\right)}^{\frac{3}{4}} x - {\left(p^{3} + 4 \, p\right)} x^{2} - p^{2} - 4}{{\left(p^{2} + 4\right)} x^{4} + p^{2} + 4}\right) + {\left(\sqrt{2} \sqrt{p^{2} + 4} p - \sqrt{2} {\left(p^{2} + 4\right)}\right)} \sqrt{p^{2} + \sqrt{p^{2} + 4} p + 4} {\left(p^{2} + 4\right)}^{\frac{1}{4}} \log\left(-\frac{{\left(p^{2} + 4\right)} x^{4} - {\left(p^{2} + 4\right)}^{\frac{3}{2}} x^{2} - \sqrt{2} \sqrt{-x^{4} + p x^{2} + 1} \sqrt{p^{2} + \sqrt{p^{2} + 4} p + 4} {\left(p^{2} + 4\right)}^{\frac{3}{4}} x - {\left(p^{3} + 4 \, p\right)} x^{2} - p^{2} - 4}{{\left(p^{2} + 4\right)} x^{4} + p^{2} + 4}\right)}{32 \, {\left(p^{2} + 4\right)}}"," ",0,"-1/32*(8*sqrt(2)*sqrt(p^2 + sqrt(p^2 + 4)*p + 4)*(p^2 + 4)^(3/4)*arctan(1/4*(2*(p^3 + 4*p)*x^12 - 2*(p^4 - 2*p^2 - 24)*x^10 - 20*(p^3 + 4*p)*x^8 + 2*(3*p^4 + 4*p^2 - 32)*x^6 + 10*(p^3 + 4*p)*x^4 + 4*(p^2 + 4)*x^2 - 2*((p^2 + 4)*x^12 - (p^3 + 4*p)*x^10 - (p^3 + 4*p)*x^6 - (p^2 + 4)*x^4 + (p*x^12 - (p^2 - 6)*x^10 - 10*p*x^8 + (3*p^2 - 8)*x^6 + 5*p*x^4 + 2*x^2)*sqrt(p^2 + 4))*sqrt(p^2 + 4) + 2*((p^2 + 4)*x^12 - (p^3 + 4*p)*x^10 - (p^3 + 4*p)*x^6 - (p^2 + 4)*x^4)*sqrt(p^2 + 4) + sqrt(p^2 + sqrt(p^2 + 4)*p + 4)*(2*(sqrt(2)*(x^9 - p*x^7 - x^5)*sqrt(-x^4 + p*x^2 + 1)*sqrt(p^2 + 4) + sqrt(2)*(x^11 - 2*p*x^9 + (p^2 - 2)*x^7 + 2*p*x^5 + x^3)*sqrt(-x^4 + p*x^2 + 1))*(p^2 + 4)^(3/4) - (sqrt(2)*(p*x^9 + 8*x^7 - 6*p*x^5 + 2*p^2*x^3 + p*x)*sqrt(-x^4 + p*x^2 + 1)*sqrt(p^2 + 4) + sqrt(2)*((p^2 + 4)*x^9 + 4*(p^2 + 4)*x^5 - 2*(p^3 + 4*p)*x^3 - (p^2 + 4)*x)*sqrt(-x^4 + p*x^2 + 1))*(p^2 + 4)^(1/4)) - (2*((p^3 + 4*p)*x^8 + 4*(p^2 + 4)*x^6 - (p^3 + 4*p)*x^4)*sqrt(-x^4 + p*x^2 + 1)*sqrt(p^2 + 4) + 2*((p^4 + 6*p^2 + 8)*x^8 + 4*(p^3 + 4*p)*x^6 - (p^4 - 4*p^2 - 32)*x^4 - 4*(p^3 + 4*p)*x^2 - 2*p^2 - 8)*sqrt(-x^4 + p*x^2 + 1) - 2*((p*x^10 - (p^2 - 4)*x^8 - 6*p*x^6 + (p^2 - 4)*x^4 + p*x^2)*sqrt(-x^4 + p*x^2 + 1)*sqrt(p^2 + 4) + ((p^2 + 4)*x^10 - (p^3 + 4*p)*x^8 - 2*(p^2 + 4)*x^6 + (p^3 + 4*p)*x^4 + (p^2 + 4)*x^2)*sqrt(-x^4 + p*x^2 + 1))*sqrt(p^2 + 4) - sqrt(p^2 + sqrt(p^2 + 4)*p + 4)*((sqrt(2)*(x^11 - p*x^9 - p*x^5 - x^3)*sqrt(p^2 + 4) + sqrt(2)*(2*x^13 - 5*p*x^11 + (3*p^2 - 8)*x^9 + 10*p*x^7 - (p^2 - 6)*x^5 - p*x^3))*(p^2 + 4)^(3/4) - (sqrt(2)*(p*x^11 - (p^2 - 6)*x^9 - 10*p*x^7 + (3*p^2 - 8)*x^5 + 5*p*x^3 + 2*x)*sqrt(p^2 + 4) + sqrt(2)*((p^2 + 4)*x^11 - (p^3 + 4*p)*x^9 - (p^3 + 4*p)*x^5 - (p^2 + 4)*x^3))*(p^2 + 4)^(1/4)))*sqrt(-((p^2 + 4)*x^4 - (p^2 + 4)^(3/2)*x^2 - sqrt(2)*sqrt(-x^4 + p*x^2 + 1)*sqrt(p^2 + sqrt(p^2 + 4)*p + 4)*(p^2 + 4)^(3/4)*x - (p^3 + 4*p)*x^2 - p^2 - 4)/((p^2 + 4)*x^4 + p^2 + 4)))/((p^2 + 4)*x^12 - 3*(p^3 + 4*p)*x^10 + (2*p^4 + p^2 - 28)*x^8 + 10*(p^3 + 4*p)*x^6 - (2*p^4 + p^2 - 28)*x^4 - 3*(p^3 + 4*p)*x^2 - p^2 - 4)) + 8*sqrt(2)*sqrt(p^2 + sqrt(p^2 + 4)*p + 4)*(p^2 + 4)^(3/4)*arctan(-1/4*(2*(p^3 + 4*p)*x^12 - 2*(p^4 - 2*p^2 - 24)*x^10 - 20*(p^3 + 4*p)*x^8 + 2*(3*p^4 + 4*p^2 - 32)*x^6 + 10*(p^3 + 4*p)*x^4 + 4*(p^2 + 4)*x^2 - 2*((p^2 + 4)*x^12 - (p^3 + 4*p)*x^10 - (p^3 + 4*p)*x^6 - (p^2 + 4)*x^4 + (p*x^12 - (p^2 - 6)*x^10 - 10*p*x^8 + (3*p^2 - 8)*x^6 + 5*p*x^4 + 2*x^2)*sqrt(p^2 + 4))*sqrt(p^2 + 4) + 2*((p^2 + 4)*x^12 - (p^3 + 4*p)*x^10 - (p^3 + 4*p)*x^6 - (p^2 + 4)*x^4)*sqrt(p^2 + 4) - sqrt(p^2 + sqrt(p^2 + 4)*p + 4)*(2*(sqrt(2)*(x^9 - p*x^7 - x^5)*sqrt(-x^4 + p*x^2 + 1)*sqrt(p^2 + 4) + sqrt(2)*(x^11 - 2*p*x^9 + (p^2 - 2)*x^7 + 2*p*x^5 + x^3)*sqrt(-x^4 + p*x^2 + 1))*(p^2 + 4)^(3/4) - (sqrt(2)*(p*x^9 + 8*x^7 - 6*p*x^5 + 2*p^2*x^3 + p*x)*sqrt(-x^4 + p*x^2 + 1)*sqrt(p^2 + 4) + sqrt(2)*((p^2 + 4)*x^9 + 4*(p^2 + 4)*x^5 - 2*(p^3 + 4*p)*x^3 - (p^2 + 4)*x)*sqrt(-x^4 + p*x^2 + 1))*(p^2 + 4)^(1/4)) - (2*((p^3 + 4*p)*x^8 + 4*(p^2 + 4)*x^6 - (p^3 + 4*p)*x^4)*sqrt(-x^4 + p*x^2 + 1)*sqrt(p^2 + 4) + 2*((p^4 + 6*p^2 + 8)*x^8 + 4*(p^3 + 4*p)*x^6 - (p^4 - 4*p^2 - 32)*x^4 - 4*(p^3 + 4*p)*x^2 - 2*p^2 - 8)*sqrt(-x^4 + p*x^2 + 1) - 2*((p*x^10 - (p^2 - 4)*x^8 - 6*p*x^6 + (p^2 - 4)*x^4 + p*x^2)*sqrt(-x^4 + p*x^2 + 1)*sqrt(p^2 + 4) + ((p^2 + 4)*x^10 - (p^3 + 4*p)*x^8 - 2*(p^2 + 4)*x^6 + (p^3 + 4*p)*x^4 + (p^2 + 4)*x^2)*sqrt(-x^4 + p*x^2 + 1))*sqrt(p^2 + 4) + sqrt(p^2 + sqrt(p^2 + 4)*p + 4)*((sqrt(2)*(x^11 - p*x^9 - p*x^5 - x^3)*sqrt(p^2 + 4) + sqrt(2)*(2*x^13 - 5*p*x^11 + (3*p^2 - 8)*x^9 + 10*p*x^7 - (p^2 - 6)*x^5 - p*x^3))*(p^2 + 4)^(3/4) - (sqrt(2)*(p*x^11 - (p^2 - 6)*x^9 - 10*p*x^7 + (3*p^2 - 8)*x^5 + 5*p*x^3 + 2*x)*sqrt(p^2 + 4) + sqrt(2)*((p^2 + 4)*x^11 - (p^3 + 4*p)*x^9 - (p^3 + 4*p)*x^5 - (p^2 + 4)*x^3))*(p^2 + 4)^(1/4)))*sqrt(-((p^2 + 4)*x^4 - (p^2 + 4)^(3/2)*x^2 + sqrt(2)*sqrt(-x^4 + p*x^2 + 1)*sqrt(p^2 + sqrt(p^2 + 4)*p + 4)*(p^2 + 4)^(3/4)*x - (p^3 + 4*p)*x^2 - p^2 - 4)/((p^2 + 4)*x^4 + p^2 + 4)))/((p^2 + 4)*x^12 - 3*(p^3 + 4*p)*x^10 + (2*p^4 + p^2 - 28)*x^8 + 10*(p^3 + 4*p)*x^6 - (2*p^4 + p^2 - 28)*x^4 - 3*(p^3 + 4*p)*x^2 - p^2 - 4)) - (sqrt(2)*sqrt(p^2 + 4)*p - sqrt(2)*(p^2 + 4))*sqrt(p^2 + sqrt(p^2 + 4)*p + 4)*(p^2 + 4)^(1/4)*log(-((p^2 + 4)*x^4 - (p^2 + 4)^(3/2)*x^2 + sqrt(2)*sqrt(-x^4 + p*x^2 + 1)*sqrt(p^2 + sqrt(p^2 + 4)*p + 4)*(p^2 + 4)^(3/4)*x - (p^3 + 4*p)*x^2 - p^2 - 4)/((p^2 + 4)*x^4 + p^2 + 4)) + (sqrt(2)*sqrt(p^2 + 4)*p - sqrt(2)*(p^2 + 4))*sqrt(p^2 + sqrt(p^2 + 4)*p + 4)*(p^2 + 4)^(1/4)*log(-((p^2 + 4)*x^4 - (p^2 + 4)^(3/2)*x^2 - sqrt(2)*sqrt(-x^4 + p*x^2 + 1)*sqrt(p^2 + sqrt(p^2 + 4)*p + 4)*(p^2 + 4)^(3/4)*x - (p^3 + 4*p)*x^2 - p^2 - 4)/((p^2 + 4)*x^4 + p^2 + 4)))/(p^2 + 4)","B",0
69,-1,0,0,0.000000," ","integrate((b*x+a)/(-x^2+2)/(x^2-1)^(1/4),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
70,-1,0,0,0.000000," ","integrate((b*x+a)/(-x^2-1)^(1/4)/(x^2+2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,-1,0,0,0.000000," ","integrate((b*x+a)/(-x^2+1)^(1/4)/(-x^2+2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,-1,0,0,0.000000," ","integrate((b*x+a)/(x^2+1)^(1/4)/(x^2+2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
73,1,1191,0,2.318376," ","integrate(x/(-x^3+4)/(-x^3+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{31104} \cdot 432^{\frac{5}{6}} \sqrt{3} \log\left(\frac{144 \, {\left(36 \, x^{9} - 8208 \, x^{6} + 9504 \, x^{3} - 648 \cdot 2^{\frac{2}{3}} {\left(x^{8} - 5 \, x^{5} + 4 \, x^{2}\right)} + {\left(2592 \, x^{6} - 2592 \, x^{3} - 432^{\frac{5}{6}} \sqrt{3} {\left(x^{7} - 26 \, x^{4} + 16 \, x\right)} - 216 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(7 \, x^{5} - 4 \, x^{2}\right)}\right)} \sqrt{-x^{3} + 1} + 3888 \cdot 2^{\frac{1}{3}} {\left(x^{7} - x^{4}\right)} - 2304\right)}}{x^{9} - 12 \, x^{6} + 48 \, x^{3} - 64}\right) - \frac{1}{31104} \cdot 432^{\frac{5}{6}} \sqrt{3} \log\left(\frac{36 \, {\left(36 \, x^{9} - 8208 \, x^{6} + 9504 \, x^{3} - 648 \cdot 2^{\frac{2}{3}} {\left(x^{8} - 5 \, x^{5} + 4 \, x^{2}\right)} + {\left(2592 \, x^{6} - 2592 \, x^{3} - 432^{\frac{5}{6}} \sqrt{3} {\left(x^{7} - 26 \, x^{4} + 16 \, x\right)} - 216 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(7 \, x^{5} - 4 \, x^{2}\right)}\right)} \sqrt{-x^{3} + 1} + 3888 \cdot 2^{\frac{1}{3}} {\left(x^{7} - x^{4}\right)} - 2304\right)}}{x^{9} - 12 \, x^{6} + 48 \, x^{3} - 64}\right) + \frac{1}{31104} \cdot 432^{\frac{5}{6}} \sqrt{3} \log\left(\frac{144 \, {\left(36 \, x^{9} - 8208 \, x^{6} + 9504 \, x^{3} - 648 \cdot 2^{\frac{2}{3}} {\left(x^{8} - 5 \, x^{5} + 4 \, x^{2}\right)} - {\left(2592 \, x^{6} - 2592 \, x^{3} - 432^{\frac{5}{6}} \sqrt{3} {\left(x^{7} - 26 \, x^{4} + 16 \, x\right)} - 216 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(7 \, x^{5} - 4 \, x^{2}\right)}\right)} \sqrt{-x^{3} + 1} + 3888 \cdot 2^{\frac{1}{3}} {\left(x^{7} - x^{4}\right)} - 2304\right)}}{x^{9} - 12 \, x^{6} + 48 \, x^{3} - 64}\right) + \frac{1}{31104} \cdot 432^{\frac{5}{6}} \sqrt{3} \log\left(\frac{36 \, {\left(36 \, x^{9} - 8208 \, x^{6} + 9504 \, x^{3} - 648 \cdot 2^{\frac{2}{3}} {\left(x^{8} - 5 \, x^{5} + 4 \, x^{2}\right)} - {\left(2592 \, x^{6} - 2592 \, x^{3} - 432^{\frac{5}{6}} \sqrt{3} {\left(x^{7} - 26 \, x^{4} + 16 \, x\right)} - 216 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(7 \, x^{5} - 4 \, x^{2}\right)}\right)} \sqrt{-x^{3} + 1} + 3888 \cdot 2^{\frac{1}{3}} {\left(x^{7} - x^{4}\right)} - 2304\right)}}{x^{9} - 12 \, x^{6} + 48 \, x^{3} - 64}\right) - \frac{1}{1944} \cdot 432^{\frac{5}{6}} \arctan\left(\frac{\sqrt{-x^{3} + 1} {\left(72 \cdot 432^{\frac{1}{6}} x^{2} + 432^{\frac{5}{6}} x + 72 \, \sqrt{3}\right)}}{216 \, {\left(2 \, x^{3} - 1\right)}}\right) + \frac{1}{3888} \cdot 432^{\frac{5}{6}} \arctan\left(-\frac{6 \, \sqrt{-x^{3} + 1} {\left(432^{\frac{5}{6}} {\left(x^{4} + 2 \, x\right)} - 36 \, \sqrt{3} {\left(x^{3} - 4\right)} + 18 \cdot 432^{\frac{1}{6}} {\left(x^{5} + 8 \, x^{2}\right)}\right)} + {\left(108 \, \sqrt{3} 2^{\frac{2}{3}} {\left(x^{5} - x^{2}\right)} - 216 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x\right)} - 108 \, \sqrt{3} {\left(x^{6} - x^{3}\right)} - \sqrt{-x^{3} + 1} {\left(432^{\frac{5}{6}} {\left(2 \, x^{4} + x\right)} - 36 \, \sqrt{3} {\left(5 \, x^{3} - 8\right)} - 18 \cdot 432^{\frac{1}{6}} {\left(x^{5} - 10 \, x^{2}\right)}\right)}\right)} \sqrt{\frac{36 \, x^{9} - 8208 \, x^{6} + 9504 \, x^{3} - 648 \cdot 2^{\frac{2}{3}} {\left(x^{8} - 5 \, x^{5} + 4 \, x^{2}\right)} + {\left(2592 \, x^{6} - 2592 \, x^{3} - 432^{\frac{5}{6}} \sqrt{3} {\left(x^{7} - 26 \, x^{4} + 16 \, x\right)} - 216 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(7 \, x^{5} - 4 \, x^{2}\right)}\right)} \sqrt{-x^{3} + 1} + 3888 \cdot 2^{\frac{1}{3}} {\left(x^{7} - x^{4}\right)} - 2304}{x^{9} - 12 \, x^{6} + 48 \, x^{3} - 64}}}{648 \, {\left(x^{6} + 3 \, x^{3} - 4\right)}}\right) + \frac{1}{3888} \cdot 432^{\frac{5}{6}} \arctan\left(-\frac{6 \, \sqrt{-x^{3} + 1} {\left(432^{\frac{5}{6}} {\left(x^{4} + 2 \, x\right)} - 36 \, \sqrt{3} {\left(x^{3} - 4\right)} + 18 \cdot 432^{\frac{1}{6}} {\left(x^{5} + 8 \, x^{2}\right)}\right)} - {\left(108 \, \sqrt{3} 2^{\frac{2}{3}} {\left(x^{5} - x^{2}\right)} - 216 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{4} - x\right)} - 108 \, \sqrt{3} {\left(x^{6} - x^{3}\right)} + \sqrt{-x^{3} + 1} {\left(432^{\frac{5}{6}} {\left(2 \, x^{4} + x\right)} - 36 \, \sqrt{3} {\left(5 \, x^{3} - 8\right)} - 18 \cdot 432^{\frac{1}{6}} {\left(x^{5} - 10 \, x^{2}\right)}\right)}\right)} \sqrt{\frac{36 \, x^{9} - 8208 \, x^{6} + 9504 \, x^{3} - 648 \cdot 2^{\frac{2}{3}} {\left(x^{8} - 5 \, x^{5} + 4 \, x^{2}\right)} - {\left(2592 \, x^{6} - 2592 \, x^{3} - 432^{\frac{5}{6}} \sqrt{3} {\left(x^{7} - 26 \, x^{4} + 16 \, x\right)} - 216 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(7 \, x^{5} - 4 \, x^{2}\right)}\right)} \sqrt{-x^{3} + 1} + 3888 \cdot 2^{\frac{1}{3}} {\left(x^{7} - x^{4}\right)} - 2304}{x^{9} - 12 \, x^{6} + 48 \, x^{3} - 64}}}{648 \, {\left(x^{6} + 3 \, x^{3} - 4\right)}}\right)"," ",0,"-1/31104*432^(5/6)*sqrt(3)*log(144*(36*x^9 - 8208*x^6 + 9504*x^3 - 648*2^(2/3)*(x^8 - 5*x^5 + 4*x^2) + (2592*x^6 - 2592*x^3 - 432^(5/6)*sqrt(3)*(x^7 - 26*x^4 + 16*x) - 216*432^(1/6)*sqrt(3)*(7*x^5 - 4*x^2))*sqrt(-x^3 + 1) + 3888*2^(1/3)*(x^7 - x^4) - 2304)/(x^9 - 12*x^6 + 48*x^3 - 64)) - 1/31104*432^(5/6)*sqrt(3)*log(36*(36*x^9 - 8208*x^6 + 9504*x^3 - 648*2^(2/3)*(x^8 - 5*x^5 + 4*x^2) + (2592*x^6 - 2592*x^3 - 432^(5/6)*sqrt(3)*(x^7 - 26*x^4 + 16*x) - 216*432^(1/6)*sqrt(3)*(7*x^5 - 4*x^2))*sqrt(-x^3 + 1) + 3888*2^(1/3)*(x^7 - x^4) - 2304)/(x^9 - 12*x^6 + 48*x^3 - 64)) + 1/31104*432^(5/6)*sqrt(3)*log(144*(36*x^9 - 8208*x^6 + 9504*x^3 - 648*2^(2/3)*(x^8 - 5*x^5 + 4*x^2) - (2592*x^6 - 2592*x^3 - 432^(5/6)*sqrt(3)*(x^7 - 26*x^4 + 16*x) - 216*432^(1/6)*sqrt(3)*(7*x^5 - 4*x^2))*sqrt(-x^3 + 1) + 3888*2^(1/3)*(x^7 - x^4) - 2304)/(x^9 - 12*x^6 + 48*x^3 - 64)) + 1/31104*432^(5/6)*sqrt(3)*log(36*(36*x^9 - 8208*x^6 + 9504*x^3 - 648*2^(2/3)*(x^8 - 5*x^5 + 4*x^2) - (2592*x^6 - 2592*x^3 - 432^(5/6)*sqrt(3)*(x^7 - 26*x^4 + 16*x) - 216*432^(1/6)*sqrt(3)*(7*x^5 - 4*x^2))*sqrt(-x^3 + 1) + 3888*2^(1/3)*(x^7 - x^4) - 2304)/(x^9 - 12*x^6 + 48*x^3 - 64)) - 1/1944*432^(5/6)*arctan(1/216*sqrt(-x^3 + 1)*(72*432^(1/6)*x^2 + 432^(5/6)*x + 72*sqrt(3))/(2*x^3 - 1)) + 1/3888*432^(5/6)*arctan(-1/648*(6*sqrt(-x^3 + 1)*(432^(5/6)*(x^4 + 2*x) - 36*sqrt(3)*(x^3 - 4) + 18*432^(1/6)*(x^5 + 8*x^2)) + (108*sqrt(3)*2^(2/3)*(x^5 - x^2) - 216*sqrt(3)*2^(1/3)*(x^4 - x) - 108*sqrt(3)*(x^6 - x^3) - sqrt(-x^3 + 1)*(432^(5/6)*(2*x^4 + x) - 36*sqrt(3)*(5*x^3 - 8) - 18*432^(1/6)*(x^5 - 10*x^2)))*sqrt((36*x^9 - 8208*x^6 + 9504*x^3 - 648*2^(2/3)*(x^8 - 5*x^5 + 4*x^2) + (2592*x^6 - 2592*x^3 - 432^(5/6)*sqrt(3)*(x^7 - 26*x^4 + 16*x) - 216*432^(1/6)*sqrt(3)*(7*x^5 - 4*x^2))*sqrt(-x^3 + 1) + 3888*2^(1/3)*(x^7 - x^4) - 2304)/(x^9 - 12*x^6 + 48*x^3 - 64)))/(x^6 + 3*x^3 - 4)) + 1/3888*432^(5/6)*arctan(-1/648*(6*sqrt(-x^3 + 1)*(432^(5/6)*(x^4 + 2*x) - 36*sqrt(3)*(x^3 - 4) + 18*432^(1/6)*(x^5 + 8*x^2)) - (108*sqrt(3)*2^(2/3)*(x^5 - x^2) - 216*sqrt(3)*2^(1/3)*(x^4 - x) - 108*sqrt(3)*(x^6 - x^3) + sqrt(-x^3 + 1)*(432^(5/6)*(2*x^4 + x) - 36*sqrt(3)*(5*x^3 - 8) - 18*432^(1/6)*(x^5 - 10*x^2)))*sqrt((36*x^9 - 8208*x^6 + 9504*x^3 - 648*2^(2/3)*(x^8 - 5*x^5 + 4*x^2) - (2592*x^6 - 2592*x^3 - 432^(5/6)*sqrt(3)*(x^7 - 26*x^4 + 16*x) - 216*432^(1/6)*sqrt(3)*(7*x^5 - 4*x^2))*sqrt(-x^3 + 1) + 3888*2^(1/3)*(x^7 - x^4) - 2304)/(x^9 - 12*x^6 + 48*x^3 - 64)))/(x^6 + 3*x^3 - 4))","B",0
74,1,1666,0,2.914914," ","integrate(x/(-d*x^3+4)/(d*x^3-1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{9} \, \sqrt{3} \left(\frac{1}{432}\right)^{\frac{1}{6}} \frac{1}{d^{4}}^{\frac{1}{6}} \arctan\left(\frac{3 \, {\left(\sqrt{3} \sqrt{\frac{1}{3}} d^{2} \sqrt{\frac{1}{d^{4}}} x + 2 \, \sqrt{3} \left(\frac{1}{432}\right)^{\frac{1}{6}} d \frac{1}{d^{4}}^{\frac{1}{6}} x^{2} - 24 \, \sqrt{3} \left(\frac{1}{432}\right)^{\frac{5}{6}} {\left(d^{4} x^{3} - 4 \, d^{3}\right)} \frac{1}{d^{4}}^{\frac{5}{6}}\right)} \sqrt{d x^{3} - 1} + {\left(2 \, \sqrt{3} \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(d^{2} x^{3} - d\right)} \frac{1}{d^{4}}^{\frac{1}{3}} + \sqrt{3} {\left(d x^{4} - x\right)} + 3 \, {\left(\sqrt{3} \sqrt{\frac{1}{3}} d^{2} \sqrt{\frac{1}{d^{4}}} x + 2 \, \sqrt{3} \left(\frac{1}{432}\right)^{\frac{1}{6}} d \frac{1}{d^{4}}^{\frac{1}{6}} x^{2} + 24 \, \sqrt{3} \left(\frac{1}{432}\right)^{\frac{5}{6}} {\left(d^{4} x^{3} + 2 \, d^{3}\right)} \frac{1}{d^{4}}^{\frac{5}{6}}\right)} \sqrt{d x^{3} - 1}\right)} \sqrt{\frac{d^{3} x^{9} - 60 \, d^{2} x^{6} - 24 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(d^{5} x^{7} - 5 \, d^{4} x^{4} + 4 \, d^{3} x\right)} \frac{1}{d^{4}}^{\frac{2}{3}} + 12 \, \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(d^{4} x^{8} + 7 \, d^{3} x^{5} - 8 \, d^{2} x^{2}\right)} \frac{1}{d^{4}}^{\frac{1}{3}} + 12 \, {\left(648 \, \left(\frac{1}{432}\right)^{\frac{5}{6}} d^{5} \frac{1}{d^{4}}^{\frac{5}{6}} x^{5} - \sqrt{\frac{1}{3}} {\left(d^{4} x^{6} + 16 \, d^{3} x^{3} - 8 \, d^{2}\right)} \sqrt{\frac{1}{d^{4}}} - \left(\frac{1}{432}\right)^{\frac{1}{6}} {\left(d^{3} x^{7} - 2 \, d^{2} x^{4} - 8 \, d x\right)} \frac{1}{d^{4}}^{\frac{1}{6}}\right)} \sqrt{d x^{3} - 1} + 32}{d^{3} x^{9} - 12 \, d^{2} x^{6} + 48 \, d x^{3} - 64}}}{3 \, {\left(d x^{4} - x\right)}}\right) - \frac{1}{9} \, \sqrt{3} \left(\frac{1}{432}\right)^{\frac{1}{6}} \frac{1}{d^{4}}^{\frac{1}{6}} \arctan\left(\frac{3 \, {\left(\sqrt{3} \sqrt{\frac{1}{3}} d^{2} \sqrt{\frac{1}{d^{4}}} x + 2 \, \sqrt{3} \left(\frac{1}{432}\right)^{\frac{1}{6}} d \frac{1}{d^{4}}^{\frac{1}{6}} x^{2} - 24 \, \sqrt{3} \left(\frac{1}{432}\right)^{\frac{5}{6}} {\left(d^{4} x^{3} - 4 \, d^{3}\right)} \frac{1}{d^{4}}^{\frac{5}{6}}\right)} \sqrt{d x^{3} - 1} - {\left(2 \, \sqrt{3} \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(d^{2} x^{3} - d\right)} \frac{1}{d^{4}}^{\frac{1}{3}} + \sqrt{3} {\left(d x^{4} - x\right)} - 3 \, {\left(\sqrt{3} \sqrt{\frac{1}{3}} d^{2} \sqrt{\frac{1}{d^{4}}} x + 2 \, \sqrt{3} \left(\frac{1}{432}\right)^{\frac{1}{6}} d \frac{1}{d^{4}}^{\frac{1}{6}} x^{2} + 24 \, \sqrt{3} \left(\frac{1}{432}\right)^{\frac{5}{6}} {\left(d^{4} x^{3} + 2 \, d^{3}\right)} \frac{1}{d^{4}}^{\frac{5}{6}}\right)} \sqrt{d x^{3} - 1}\right)} \sqrt{\frac{d^{3} x^{9} - 60 \, d^{2} x^{6} - 24 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(d^{5} x^{7} - 5 \, d^{4} x^{4} + 4 \, d^{3} x\right)} \frac{1}{d^{4}}^{\frac{2}{3}} + 12 \, \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(d^{4} x^{8} + 7 \, d^{3} x^{5} - 8 \, d^{2} x^{2}\right)} \frac{1}{d^{4}}^{\frac{1}{3}} - 12 \, {\left(648 \, \left(\frac{1}{432}\right)^{\frac{5}{6}} d^{5} \frac{1}{d^{4}}^{\frac{5}{6}} x^{5} - \sqrt{\frac{1}{3}} {\left(d^{4} x^{6} + 16 \, d^{3} x^{3} - 8 \, d^{2}\right)} \sqrt{\frac{1}{d^{4}}} - \left(\frac{1}{432}\right)^{\frac{1}{6}} {\left(d^{3} x^{7} - 2 \, d^{2} x^{4} - 8 \, d x\right)} \frac{1}{d^{4}}^{\frac{1}{6}}\right)} \sqrt{d x^{3} - 1} + 32}{d^{3} x^{9} - 12 \, d^{2} x^{6} + 48 \, d x^{3} - 64}}}{3 \, {\left(d x^{4} - x\right)}}\right) + \frac{1}{18} \, \left(\frac{1}{432}\right)^{\frac{1}{6}} \frac{1}{d^{4}}^{\frac{1}{6}} \log\left(\frac{d^{3} x^{9} + 66 \, d^{2} x^{6} - 72 \, d x^{3} + 48 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(d^{5} x^{7} + d^{4} x^{4} - 2 \, d^{3} x\right)} \frac{1}{d^{4}}^{\frac{2}{3}} + 12 \, \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(d^{4} x^{8} + 7 \, d^{3} x^{5} - 8 \, d^{2} x^{2}\right)} \frac{1}{d^{4}}^{\frac{1}{3}} + 6 \, {\left(1296 \, \left(\frac{1}{432}\right)^{\frac{5}{6}} d^{5} \frac{1}{d^{4}}^{\frac{5}{6}} x^{5} + \sqrt{\frac{1}{3}} {\left(5 \, d^{4} x^{6} + 20 \, d^{3} x^{3} - 16 \, d^{2}\right)} \sqrt{\frac{1}{d^{4}}} + 2 \, \left(\frac{1}{432}\right)^{\frac{1}{6}} {\left(d^{3} x^{7} + 16 \, d^{2} x^{4} - 8 \, d x\right)} \frac{1}{d^{4}}^{\frac{1}{6}}\right)} \sqrt{d x^{3} - 1} + 32}{d^{3} x^{9} - 12 \, d^{2} x^{6} + 48 \, d x^{3} - 64}\right) - \frac{1}{18} \, \left(\frac{1}{432}\right)^{\frac{1}{6}} \frac{1}{d^{4}}^{\frac{1}{6}} \log\left(\frac{d^{3} x^{9} + 66 \, d^{2} x^{6} - 72 \, d x^{3} + 48 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(d^{5} x^{7} + d^{4} x^{4} - 2 \, d^{3} x\right)} \frac{1}{d^{4}}^{\frac{2}{3}} + 12 \, \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(d^{4} x^{8} + 7 \, d^{3} x^{5} - 8 \, d^{2} x^{2}\right)} \frac{1}{d^{4}}^{\frac{1}{3}} - 6 \, {\left(1296 \, \left(\frac{1}{432}\right)^{\frac{5}{6}} d^{5} \frac{1}{d^{4}}^{\frac{5}{6}} x^{5} + \sqrt{\frac{1}{3}} {\left(5 \, d^{4} x^{6} + 20 \, d^{3} x^{3} - 16 \, d^{2}\right)} \sqrt{\frac{1}{d^{4}}} + 2 \, \left(\frac{1}{432}\right)^{\frac{1}{6}} {\left(d^{3} x^{7} + 16 \, d^{2} x^{4} - 8 \, d x\right)} \frac{1}{d^{4}}^{\frac{1}{6}}\right)} \sqrt{d x^{3} - 1} + 32}{d^{3} x^{9} - 12 \, d^{2} x^{6} + 48 \, d x^{3} - 64}\right) - \frac{1}{36} \, \left(\frac{1}{432}\right)^{\frac{1}{6}} \frac{1}{d^{4}}^{\frac{1}{6}} \log\left(\frac{d^{3} x^{9} - 60 \, d^{2} x^{6} - 24 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(d^{5} x^{7} - 5 \, d^{4} x^{4} + 4 \, d^{3} x\right)} \frac{1}{d^{4}}^{\frac{2}{3}} + 12 \, \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(d^{4} x^{8} + 7 \, d^{3} x^{5} - 8 \, d^{2} x^{2}\right)} \frac{1}{d^{4}}^{\frac{1}{3}} + 12 \, {\left(648 \, \left(\frac{1}{432}\right)^{\frac{5}{6}} d^{5} \frac{1}{d^{4}}^{\frac{5}{6}} x^{5} - \sqrt{\frac{1}{3}} {\left(d^{4} x^{6} + 16 \, d^{3} x^{3} - 8 \, d^{2}\right)} \sqrt{\frac{1}{d^{4}}} - \left(\frac{1}{432}\right)^{\frac{1}{6}} {\left(d^{3} x^{7} - 2 \, d^{2} x^{4} - 8 \, d x\right)} \frac{1}{d^{4}}^{\frac{1}{6}}\right)} \sqrt{d x^{3} - 1} + 32}{d^{3} x^{9} - 12 \, d^{2} x^{6} + 48 \, d x^{3} - 64}\right) + \frac{1}{36} \, \left(\frac{1}{432}\right)^{\frac{1}{6}} \frac{1}{d^{4}}^{\frac{1}{6}} \log\left(\frac{d^{3} x^{9} - 60 \, d^{2} x^{6} - 24 \, \left(\frac{1}{2}\right)^{\frac{2}{3}} {\left(d^{5} x^{7} - 5 \, d^{4} x^{4} + 4 \, d^{3} x\right)} \frac{1}{d^{4}}^{\frac{2}{3}} + 12 \, \left(\frac{1}{2}\right)^{\frac{1}{3}} {\left(d^{4} x^{8} + 7 \, d^{3} x^{5} - 8 \, d^{2} x^{2}\right)} \frac{1}{d^{4}}^{\frac{1}{3}} - 12 \, {\left(648 \, \left(\frac{1}{432}\right)^{\frac{5}{6}} d^{5} \frac{1}{d^{4}}^{\frac{5}{6}} x^{5} - \sqrt{\frac{1}{3}} {\left(d^{4} x^{6} + 16 \, d^{3} x^{3} - 8 \, d^{2}\right)} \sqrt{\frac{1}{d^{4}}} - \left(\frac{1}{432}\right)^{\frac{1}{6}} {\left(d^{3} x^{7} - 2 \, d^{2} x^{4} - 8 \, d x\right)} \frac{1}{d^{4}}^{\frac{1}{6}}\right)} \sqrt{d x^{3} - 1} + 32}{d^{3} x^{9} - 12 \, d^{2} x^{6} + 48 \, d x^{3} - 64}\right)"," ",0,"-1/9*sqrt(3)*(1/432)^(1/6)*(d^(-4))^(1/6)*arctan(1/3*(3*(sqrt(3)*sqrt(1/3)*d^2*sqrt(d^(-4))*x + 2*sqrt(3)*(1/432)^(1/6)*d*(d^(-4))^(1/6)*x^2 - 24*sqrt(3)*(1/432)^(5/6)*(d^4*x^3 - 4*d^3)*(d^(-4))^(5/6))*sqrt(d*x^3 - 1) + (2*sqrt(3)*(1/2)^(1/3)*(d^2*x^3 - d)*(d^(-4))^(1/3) + sqrt(3)*(d*x^4 - x) + 3*(sqrt(3)*sqrt(1/3)*d^2*sqrt(d^(-4))*x + 2*sqrt(3)*(1/432)^(1/6)*d*(d^(-4))^(1/6)*x^2 + 24*sqrt(3)*(1/432)^(5/6)*(d^4*x^3 + 2*d^3)*(d^(-4))^(5/6))*sqrt(d*x^3 - 1))*sqrt((d^3*x^9 - 60*d^2*x^6 - 24*(1/2)^(2/3)*(d^5*x^7 - 5*d^4*x^4 + 4*d^3*x)*(d^(-4))^(2/3) + 12*(1/2)^(1/3)*(d^4*x^8 + 7*d^3*x^5 - 8*d^2*x^2)*(d^(-4))^(1/3) + 12*(648*(1/432)^(5/6)*d^5*(d^(-4))^(5/6)*x^5 - sqrt(1/3)*(d^4*x^6 + 16*d^3*x^3 - 8*d^2)*sqrt(d^(-4)) - (1/432)^(1/6)*(d^3*x^7 - 2*d^2*x^4 - 8*d*x)*(d^(-4))^(1/6))*sqrt(d*x^3 - 1) + 32)/(d^3*x^9 - 12*d^2*x^6 + 48*d*x^3 - 64)))/(d*x^4 - x)) - 1/9*sqrt(3)*(1/432)^(1/6)*(d^(-4))^(1/6)*arctan(1/3*(3*(sqrt(3)*sqrt(1/3)*d^2*sqrt(d^(-4))*x + 2*sqrt(3)*(1/432)^(1/6)*d*(d^(-4))^(1/6)*x^2 - 24*sqrt(3)*(1/432)^(5/6)*(d^4*x^3 - 4*d^3)*(d^(-4))^(5/6))*sqrt(d*x^3 - 1) - (2*sqrt(3)*(1/2)^(1/3)*(d^2*x^3 - d)*(d^(-4))^(1/3) + sqrt(3)*(d*x^4 - x) - 3*(sqrt(3)*sqrt(1/3)*d^2*sqrt(d^(-4))*x + 2*sqrt(3)*(1/432)^(1/6)*d*(d^(-4))^(1/6)*x^2 + 24*sqrt(3)*(1/432)^(5/6)*(d^4*x^3 + 2*d^3)*(d^(-4))^(5/6))*sqrt(d*x^3 - 1))*sqrt((d^3*x^9 - 60*d^2*x^6 - 24*(1/2)^(2/3)*(d^5*x^7 - 5*d^4*x^4 + 4*d^3*x)*(d^(-4))^(2/3) + 12*(1/2)^(1/3)*(d^4*x^8 + 7*d^3*x^5 - 8*d^2*x^2)*(d^(-4))^(1/3) - 12*(648*(1/432)^(5/6)*d^5*(d^(-4))^(5/6)*x^5 - sqrt(1/3)*(d^4*x^6 + 16*d^3*x^3 - 8*d^2)*sqrt(d^(-4)) - (1/432)^(1/6)*(d^3*x^7 - 2*d^2*x^4 - 8*d*x)*(d^(-4))^(1/6))*sqrt(d*x^3 - 1) + 32)/(d^3*x^9 - 12*d^2*x^6 + 48*d*x^3 - 64)))/(d*x^4 - x)) + 1/18*(1/432)^(1/6)*(d^(-4))^(1/6)*log((d^3*x^9 + 66*d^2*x^6 - 72*d*x^3 + 48*(1/2)^(2/3)*(d^5*x^7 + d^4*x^4 - 2*d^3*x)*(d^(-4))^(2/3) + 12*(1/2)^(1/3)*(d^4*x^8 + 7*d^3*x^5 - 8*d^2*x^2)*(d^(-4))^(1/3) + 6*(1296*(1/432)^(5/6)*d^5*(d^(-4))^(5/6)*x^5 + sqrt(1/3)*(5*d^4*x^6 + 20*d^3*x^3 - 16*d^2)*sqrt(d^(-4)) + 2*(1/432)^(1/6)*(d^3*x^7 + 16*d^2*x^4 - 8*d*x)*(d^(-4))^(1/6))*sqrt(d*x^3 - 1) + 32)/(d^3*x^9 - 12*d^2*x^6 + 48*d*x^3 - 64)) - 1/18*(1/432)^(1/6)*(d^(-4))^(1/6)*log((d^3*x^9 + 66*d^2*x^6 - 72*d*x^3 + 48*(1/2)^(2/3)*(d^5*x^7 + d^4*x^4 - 2*d^3*x)*(d^(-4))^(2/3) + 12*(1/2)^(1/3)*(d^4*x^8 + 7*d^3*x^5 - 8*d^2*x^2)*(d^(-4))^(1/3) - 6*(1296*(1/432)^(5/6)*d^5*(d^(-4))^(5/6)*x^5 + sqrt(1/3)*(5*d^4*x^6 + 20*d^3*x^3 - 16*d^2)*sqrt(d^(-4)) + 2*(1/432)^(1/6)*(d^3*x^7 + 16*d^2*x^4 - 8*d*x)*(d^(-4))^(1/6))*sqrt(d*x^3 - 1) + 32)/(d^3*x^9 - 12*d^2*x^6 + 48*d*x^3 - 64)) - 1/36*(1/432)^(1/6)*(d^(-4))^(1/6)*log((d^3*x^9 - 60*d^2*x^6 - 24*(1/2)^(2/3)*(d^5*x^7 - 5*d^4*x^4 + 4*d^3*x)*(d^(-4))^(2/3) + 12*(1/2)^(1/3)*(d^4*x^8 + 7*d^3*x^5 - 8*d^2*x^2)*(d^(-4))^(1/3) + 12*(648*(1/432)^(5/6)*d^5*(d^(-4))^(5/6)*x^5 - sqrt(1/3)*(d^4*x^6 + 16*d^3*x^3 - 8*d^2)*sqrt(d^(-4)) - (1/432)^(1/6)*(d^3*x^7 - 2*d^2*x^4 - 8*d*x)*(d^(-4))^(1/6))*sqrt(d*x^3 - 1) + 32)/(d^3*x^9 - 12*d^2*x^6 + 48*d*x^3 - 64)) + 1/36*(1/432)^(1/6)*(d^(-4))^(1/6)*log((d^3*x^9 - 60*d^2*x^6 - 24*(1/2)^(2/3)*(d^5*x^7 - 5*d^4*x^4 + 4*d^3*x)*(d^(-4))^(2/3) + 12*(1/2)^(1/3)*(d^4*x^8 + 7*d^3*x^5 - 8*d^2*x^2)*(d^(-4))^(1/3) - 12*(648*(1/432)^(5/6)*d^5*(d^(-4))^(5/6)*x^5 - sqrt(1/3)*(d^4*x^6 + 16*d^3*x^3 - 8*d^2)*sqrt(d^(-4)) - (1/432)^(1/6)*(d^3*x^7 - 2*d^2*x^4 - 8*d*x)*(d^(-4))^(1/6))*sqrt(d*x^3 - 1) + 32)/(d^3*x^9 - 12*d^2*x^6 + 48*d*x^3 - 64))","B",0
75,1,547,0,1.806848," ","integrate(x/(x^3+8)/(x^3-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{216} \, \sqrt{3} \log\left(\frac{4 \, {\left(x^{6} + 48 \, x^{5} + 186 \, x^{4} - 56 \, x^{3} + 6 \, \sqrt{3} {\left(x^{4} + 12 \, x^{3} + 12 \, x^{2} - 16 \, x\right)} \sqrt{x^{3} - 1} - 120 \, x^{2} - 96 \, x + 64\right)}}{x^{6} - 6 \, x^{5} + 24 \, x^{4} - 56 \, x^{3} + 96 \, x^{2} - 96 \, x + 64}\right) - \frac{1}{216} \, \sqrt{3} \log\left(\frac{4 \, {\left(x^{6} + 48 \, x^{5} + 186 \, x^{4} - 56 \, x^{3} - 6 \, \sqrt{3} {\left(x^{4} + 12 \, x^{3} + 12 \, x^{2} - 16 \, x\right)} \sqrt{x^{3} - 1} - 120 \, x^{2} - 96 \, x + 64\right)}}{x^{6} - 6 \, x^{5} + 24 \, x^{4} - 56 \, x^{3} + 96 \, x^{2} - 96 \, x + 64}\right) + \frac{1}{54} \, \arctan\left(\frac{{\left(x^{3} - 12 \, x^{2} - 6 \, x - 10\right)} \sqrt{x^{3} - 1}}{6 \, {\left(x^{4} - x^{3} - x + 1\right)}}\right) - \frac{1}{54} \, \arctan\left(-\frac{\sqrt{x^{3} - 1} {\left(x^{2} - 8 \, x + 10\right)} + {\left(3 \, \sqrt{3} {\left(x^{3} + x^{2} - 2 \, x\right)} - \sqrt{x^{3} - 1} {\left(x^{2} + 10 \, x - 8\right)}\right)} \sqrt{\frac{x^{6} + 48 \, x^{5} + 186 \, x^{4} - 56 \, x^{3} + 6 \, \sqrt{3} {\left(x^{4} + 12 \, x^{3} + 12 \, x^{2} - 16 \, x\right)} \sqrt{x^{3} - 1} - 120 \, x^{2} - 96 \, x + 64}{x^{6} - 6 \, x^{5} + 24 \, x^{4} - 56 \, x^{3} + 96 \, x^{2} - 96 \, x + 64}}}{3 \, {\left(x^{3} - 3 \, x^{2} + 2\right)}}\right) - \frac{1}{54} \, \arctan\left(-\frac{\sqrt{x^{3} - 1} {\left(x^{2} - 8 \, x + 10\right)} - {\left(3 \, \sqrt{3} {\left(x^{3} + x^{2} - 2 \, x\right)} + \sqrt{x^{3} - 1} {\left(x^{2} + 10 \, x - 8\right)}\right)} \sqrt{\frac{x^{6} + 48 \, x^{5} + 186 \, x^{4} - 56 \, x^{3} - 6 \, \sqrt{3} {\left(x^{4} + 12 \, x^{3} + 12 \, x^{2} - 16 \, x\right)} \sqrt{x^{3} - 1} - 120 \, x^{2} - 96 \, x + 64}{x^{6} - 6 \, x^{5} + 24 \, x^{4} - 56 \, x^{3} + 96 \, x^{2} - 96 \, x + 64}}}{3 \, {\left(x^{3} - 3 \, x^{2} + 2\right)}}\right)"," ",0,"1/216*sqrt(3)*log(4*(x^6 + 48*x^5 + 186*x^4 - 56*x^3 + 6*sqrt(3)*(x^4 + 12*x^3 + 12*x^2 - 16*x)*sqrt(x^3 - 1) - 120*x^2 - 96*x + 64)/(x^6 - 6*x^5 + 24*x^4 - 56*x^3 + 96*x^2 - 96*x + 64)) - 1/216*sqrt(3)*log(4*(x^6 + 48*x^5 + 186*x^4 - 56*x^3 - 6*sqrt(3)*(x^4 + 12*x^3 + 12*x^2 - 16*x)*sqrt(x^3 - 1) - 120*x^2 - 96*x + 64)/(x^6 - 6*x^5 + 24*x^4 - 56*x^3 + 96*x^2 - 96*x + 64)) + 1/54*arctan(1/6*(x^3 - 12*x^2 - 6*x - 10)*sqrt(x^3 - 1)/(x^4 - x^3 - x + 1)) - 1/54*arctan(-1/3*(sqrt(x^3 - 1)*(x^2 - 8*x + 10) + (3*sqrt(3)*(x^3 + x^2 - 2*x) - sqrt(x^3 - 1)*(x^2 + 10*x - 8))*sqrt((x^6 + 48*x^5 + 186*x^4 - 56*x^3 + 6*sqrt(3)*(x^4 + 12*x^3 + 12*x^2 - 16*x)*sqrt(x^3 - 1) - 120*x^2 - 96*x + 64)/(x^6 - 6*x^5 + 24*x^4 - 56*x^3 + 96*x^2 - 96*x + 64)))/(x^3 - 3*x^2 + 2)) - 1/54*arctan(-1/3*(sqrt(x^3 - 1)*(x^2 - 8*x + 10) - (3*sqrt(3)*(x^3 + x^2 - 2*x) + sqrt(x^3 - 1)*(x^2 + 10*x - 8))*sqrt((x^6 + 48*x^5 + 186*x^4 - 56*x^3 - 6*sqrt(3)*(x^4 + 12*x^3 + 12*x^2 - 16*x)*sqrt(x^3 - 1) - 120*x^2 - 96*x + 64)/(x^6 - 6*x^5 + 24*x^4 - 56*x^3 + 96*x^2 - 96*x + 64)))/(x^3 - 3*x^2 + 2))","B",0
76,1,497,0,2.400730," ","integrate(x/(-d*x^3+8)/(d*x^3+1)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{3} {\left(d^{2}\right)}^{\frac{1}{6}} d \arctan\left(-\frac{{\left(9 \, \sqrt{3} d^{3} x^{5} - \sqrt{3} {\left(d^{2} x^{6} - 40 \, d x^{3} - 32\right)} {\left(d^{2}\right)}^{\frac{2}{3}} + 3 \, \sqrt{3} {\left(5 \, d^{2} x^{4} + 8 \, d x\right)} {\left(d^{2}\right)}^{\frac{1}{3}}\right)} \sqrt{d x^{3} + 1} {\left(d^{2}\right)}^{\frac{1}{6}}}{9 \, {\left(d^{4} x^{7} - 7 \, d^{3} x^{4} - 8 \, d^{2} x\right)}}\right) + 2 \, {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(\frac{d^{4} x^{9} + 318 \, d^{3} x^{6} + 1200 \, d^{2} x^{3} + 18 \, {\left(5 \, d^{2} x^{7} + 64 \, d x^{4} + 32 \, x\right)} {\left(d^{2}\right)}^{\frac{2}{3}} + 6 \, {\left(7 \, d^{3} x^{6} + 152 \, d^{2} x^{3} + {\left(d^{2} x^{7} + 80 \, d x^{4} + 160 \, x\right)} {\left(d^{2}\right)}^{\frac{2}{3}} + 6 \, {\left(5 \, d^{2} x^{5} + 32 \, d x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}} + 64 \, d\right)} \sqrt{d x^{3} + 1} + 18 \, {\left(d^{3} x^{8} + 38 \, d^{2} x^{5} + 64 \, d x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}} + 640 \, d}{d^{3} x^{9} - 24 \, d^{2} x^{6} + 192 \, d x^{3} - 512}\right) - {\left(d^{2}\right)}^{\frac{2}{3}} \log\left(\frac{d^{4} x^{9} - 276 \, d^{3} x^{6} - 1608 \, d^{2} x^{3} - 18 \, {\left(d^{2} x^{7} - 52 \, d x^{4} - 80 \, x\right)} {\left(d^{2}\right)}^{\frac{2}{3}} - 6 \, {\left(4 \, d^{3} x^{6} + 164 \, d^{2} x^{3} + {\left(d^{2} x^{7} - 28 \, d x^{4} - 272 \, x\right)} {\left(d^{2}\right)}^{\frac{2}{3}} - 24 \, {\left(d^{2} x^{5} + d x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}} + 160 \, d\right)} \sqrt{d x^{3} + 1} + 18 \, {\left(d^{3} x^{8} + 20 \, d^{2} x^{5} - 8 \, d x^{2}\right)} {\left(d^{2}\right)}^{\frac{1}{3}} - 1088 \, d}{d^{3} x^{9} - 24 \, d^{2} x^{6} + 192 \, d x^{3} - 512}\right)}{108 \, d^{2}}"," ",0,"1/108*(2*sqrt(3)*(d^2)^(1/6)*d*arctan(-1/9*(9*sqrt(3)*d^3*x^5 - sqrt(3)*(d^2*x^6 - 40*d*x^3 - 32)*(d^2)^(2/3) + 3*sqrt(3)*(5*d^2*x^4 + 8*d*x)*(d^2)^(1/3))*sqrt(d*x^3 + 1)*(d^2)^(1/6)/(d^4*x^7 - 7*d^3*x^4 - 8*d^2*x)) + 2*(d^2)^(2/3)*log((d^4*x^9 + 318*d^3*x^6 + 1200*d^2*x^3 + 18*(5*d^2*x^7 + 64*d*x^4 + 32*x)*(d^2)^(2/3) + 6*(7*d^3*x^6 + 152*d^2*x^3 + (d^2*x^7 + 80*d*x^4 + 160*x)*(d^2)^(2/3) + 6*(5*d^2*x^5 + 32*d*x^2)*(d^2)^(1/3) + 64*d)*sqrt(d*x^3 + 1) + 18*(d^3*x^8 + 38*d^2*x^5 + 64*d*x^2)*(d^2)^(1/3) + 640*d)/(d^3*x^9 - 24*d^2*x^6 + 192*d*x^3 - 512)) - (d^2)^(2/3)*log((d^4*x^9 - 276*d^3*x^6 - 1608*d^2*x^3 - 18*(d^2*x^7 - 52*d*x^4 - 80*x)*(d^2)^(2/3) - 6*(4*d^3*x^6 + 164*d^2*x^3 + (d^2*x^7 - 28*d*x^4 - 272*x)*(d^2)^(2/3) - 24*(d^2*x^5 + d*x^2)*(d^2)^(1/3) + 160*d)*sqrt(d*x^3 + 1) + 18*(d^3*x^8 + 20*d^2*x^5 - 8*d*x^2)*(d^2)^(1/3) - 1088*d)/(d^3*x^9 - 24*d^2*x^6 + 192*d*x^3 - 512)))/d^2","B",0
77,1,1792,0,7.441566," ","integrate(1/(-3*x^2+1)^(1/3)/(-x^2+3),x, algorithm=""fricas"")","\frac{1}{72} \, \sqrt{6} \sqrt{3} \sqrt{2} \arctan\left(\frac{36 \, \sqrt{6} \sqrt{3} \sqrt{2} {\left(3 \, x^{11} - 1117 \, x^{9} + 3918 \, x^{7} - 1866 \, x^{5} + 255 \, x^{3} - 9 \, x\right)} + \sqrt{3} {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{12} + 2184 \, x^{10} - 211215 \, x^{8} + 94152 \, x^{6} - 13581 \, x^{4} + 432 \, x^{2} + 27\right)} + 12 \, {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{10} - 107 \, x^{8} - 7262 \, x^{6} + 2322 \, x^{4} - 243 \, x^{2} + 9\right)} - 48 \, \sqrt{3} {\left(5 \, x^{9} - 245 \, x^{7} + 183 \, x^{5} - 15 \, x^{3}\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} - 12 \, \sqrt{3} {\left(29 \, x^{11} + 293 \, x^{9} - 2670 \, x^{7} + 4986 \, x^{5} - 1215 \, x^{3} + 81 \, x\right)} - 6 \, {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(49 \, x^{10} - 5043 \, x^{8} + 3658 \, x^{6} + 378 \, x^{4} - 171 \, x^{2} + 9\right)} - 2 \, \sqrt{3} {\left(x^{11} + 917 \, x^{9} - 40566 \, x^{7} + 15786 \, x^{5} - 2043 \, x^{3} + 81 \, x\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{x^{6} - 93 \, x^{4} + 4 \, \sqrt{6} \sqrt{2} {\left(x^{5} + 13 \, x^{3}\right)} - 117 \, x^{2} - 2 \, {\left(4 \, \sqrt{6} \sqrt{2} x^{3} - 3 \, x^{4} - 18 \, x^{2} + 9\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} + {\left(6 \, x^{4} - \sqrt{6} \sqrt{2} {\left(x^{5} - 10 \, x^{3} - 27 \, x\right)} - 108 \, x^{2} - 18\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}} + 9}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}} + 12 \, {\left(2 \, \sqrt{6} \sqrt{3} \sqrt{2} {\left(35 \, x^{9} - 4860 \, x^{7} + 2106 \, x^{5} - 396 \, x^{3} + 27 \, x\right)} - 3 \, \sqrt{3} {\left(x^{10} + 589 \, x^{8} + 3946 \, x^{6} - 774 \, x^{4} - 27 \, x^{2} + 9\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} - 3 \, \sqrt{3} {\left(x^{12} + 3150 \, x^{10} + 77991 \, x^{8} + 4260 \, x^{6} - 14337 \, x^{4} + 2862 \, x^{2} - 135\right)} - 6 \, {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{11} - 1591 \, x^{9} + 42426 \, x^{7} - 15102 \, x^{5} + 1269 \, x^{3} - 27 \, x\right)} - 6 \, \sqrt{3} {\left(27 \, x^{10} + 2307 \, x^{8} + 4574 \, x^{6} - 2538 \, x^{4} + 279 \, x^{2} - 9\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}}}{9 \, {\left(x^{12} - 4986 \, x^{10} + 327519 \, x^{8} - 159660 \, x^{6} + 25839 \, x^{4} - 2106 \, x^{2} + 81\right)}}\right) + \frac{1}{72} \, \sqrt{6} \sqrt{3} \sqrt{2} \arctan\left(\frac{36 \, \sqrt{6} \sqrt{3} \sqrt{2} {\left(3 \, x^{11} - 1117 \, x^{9} + 3918 \, x^{7} - 1866 \, x^{5} + 255 \, x^{3} - 9 \, x\right)} + \sqrt{3} {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{12} + 2184 \, x^{10} - 211215 \, x^{8} + 94152 \, x^{6} - 13581 \, x^{4} + 432 \, x^{2} + 27\right)} + 12 \, {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{10} - 107 \, x^{8} - 7262 \, x^{6} + 2322 \, x^{4} - 243 \, x^{2} + 9\right)} + 48 \, \sqrt{3} {\left(5 \, x^{9} - 245 \, x^{7} + 183 \, x^{5} - 15 \, x^{3}\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} + 12 \, \sqrt{3} {\left(29 \, x^{11} + 293 \, x^{9} - 2670 \, x^{7} + 4986 \, x^{5} - 1215 \, x^{3} + 81 \, x\right)} - 6 \, {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(49 \, x^{10} - 5043 \, x^{8} + 3658 \, x^{6} + 378 \, x^{4} - 171 \, x^{2} + 9\right)} + 2 \, \sqrt{3} {\left(x^{11} + 917 \, x^{9} - 40566 \, x^{7} + 15786 \, x^{5} - 2043 \, x^{3} + 81 \, x\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{x^{6} - 93 \, x^{4} - 4 \, \sqrt{6} \sqrt{2} {\left(x^{5} + 13 \, x^{3}\right)} - 117 \, x^{2} + 2 \, {\left(4 \, \sqrt{6} \sqrt{2} x^{3} + 3 \, x^{4} + 18 \, x^{2} - 9\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} + {\left(6 \, x^{4} + \sqrt{6} \sqrt{2} {\left(x^{5} - 10 \, x^{3} - 27 \, x\right)} - 108 \, x^{2} - 18\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}} + 9}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}} + 12 \, {\left(2 \, \sqrt{6} \sqrt{3} \sqrt{2} {\left(35 \, x^{9} - 4860 \, x^{7} + 2106 \, x^{5} - 396 \, x^{3} + 27 \, x\right)} + 3 \, \sqrt{3} {\left(x^{10} + 589 \, x^{8} + 3946 \, x^{6} - 774 \, x^{4} - 27 \, x^{2} + 9\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} + 3 \, \sqrt{3} {\left(x^{12} + 3150 \, x^{10} + 77991 \, x^{8} + 4260 \, x^{6} - 14337 \, x^{4} + 2862 \, x^{2} - 135\right)} - 6 \, {\left(\sqrt{6} \sqrt{3} \sqrt{2} {\left(x^{11} - 1591 \, x^{9} + 42426 \, x^{7} - 15102 \, x^{5} + 1269 \, x^{3} - 27 \, x\right)} + 6 \, \sqrt{3} {\left(27 \, x^{10} + 2307 \, x^{8} + 4574 \, x^{6} - 2538 \, x^{4} + 279 \, x^{2} - 9\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}}}{9 \, {\left(x^{12} - 4986 \, x^{10} + 327519 \, x^{8} - 159660 \, x^{6} + 25839 \, x^{4} - 2106 \, x^{2} + 81\right)}}\right) - \frac{1}{288} \, \sqrt{6} \sqrt{2} \log\left(\frac{12 \, {\left(x^{6} - 93 \, x^{4} + 4 \, \sqrt{6} \sqrt{2} {\left(x^{5} + 13 \, x^{3}\right)} - 117 \, x^{2} - 2 \, {\left(4 \, \sqrt{6} \sqrt{2} x^{3} - 3 \, x^{4} - 18 \, x^{2} + 9\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} + {\left(6 \, x^{4} - \sqrt{6} \sqrt{2} {\left(x^{5} - 10 \, x^{3} - 27 \, x\right)} - 108 \, x^{2} - 18\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}} + 9\right)}}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}\right) + \frac{1}{288} \, \sqrt{6} \sqrt{2} \log\left(\frac{12 \, {\left(x^{6} - 93 \, x^{4} - 4 \, \sqrt{6} \sqrt{2} {\left(x^{5} + 13 \, x^{3}\right)} - 117 \, x^{2} + 2 \, {\left(4 \, \sqrt{6} \sqrt{2} x^{3} + 3 \, x^{4} + 18 \, x^{2} - 9\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} + {\left(6 \, x^{4} + \sqrt{6} \sqrt{2} {\left(x^{5} - 10 \, x^{3} - 27 \, x\right)} - 108 \, x^{2} - 18\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}} + 9\right)}}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}\right) + \frac{1}{72} \, \sqrt{3} \log\left(-\frac{x^{12} + 2598 \, x^{10} + 55143 \, x^{8} + 114228 \, x^{6} - 22113 \, x^{4} - 7290 \, x^{2} + 8 \, {\left(3 \, x^{10} + 576 \, x^{8} + 5598 \, x^{6} + 5832 \, x^{4} - 729 \, x^{2} - \sqrt{3} {\left(41 \, x^{9} + 1368 \, x^{7} + 4482 \, x^{5} + 864 \, x^{3} - 243 \, x\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{2}{3}} - 4 \, \sqrt{3} {\left(25 \, x^{11} + 2359 \, x^{9} + 15426 \, x^{7} + 6966 \, x^{5} - 4347 \, x^{3} + 243 \, x\right)} - 4 \, {\left(84 \, x^{10} + 4536 \, x^{8} + 20880 \, x^{6} + 5832 \, x^{4} - 2916 \, x^{2} - \sqrt{3} {\left(x^{11} + 521 \, x^{9} + 7362 \, x^{7} + 10746 \, x^{5} - 1971 \, x^{3} - 243 \, x\right)}\right)} {\left(-3 \, x^{2} + 1\right)}^{\frac{1}{3}} + 729}{x^{12} - 18 \, x^{10} + 135 \, x^{8} - 540 \, x^{6} + 1215 \, x^{4} - 1458 \, x^{2} + 729}\right)"," ",0,"1/72*sqrt(6)*sqrt(3)*sqrt(2)*arctan(1/9*(36*sqrt(6)*sqrt(3)*sqrt(2)*(3*x^11 - 1117*x^9 + 3918*x^7 - 1866*x^5 + 255*x^3 - 9*x) + sqrt(3)*(sqrt(6)*sqrt(3)*sqrt(2)*(x^12 + 2184*x^10 - 211215*x^8 + 94152*x^6 - 13581*x^4 + 432*x^2 + 27) + 12*(sqrt(6)*sqrt(3)*sqrt(2)*(x^10 - 107*x^8 - 7262*x^6 + 2322*x^4 - 243*x^2 + 9) - 48*sqrt(3)*(5*x^9 - 245*x^7 + 183*x^5 - 15*x^3))*(-3*x^2 + 1)^(2/3) - 12*sqrt(3)*(29*x^11 + 293*x^9 - 2670*x^7 + 4986*x^5 - 1215*x^3 + 81*x) - 6*(sqrt(6)*sqrt(3)*sqrt(2)*(49*x^10 - 5043*x^8 + 3658*x^6 + 378*x^4 - 171*x^2 + 9) - 2*sqrt(3)*(x^11 + 917*x^9 - 40566*x^7 + 15786*x^5 - 2043*x^3 + 81*x))*(-3*x^2 + 1)^(1/3))*sqrt((x^6 - 93*x^4 + 4*sqrt(6)*sqrt(2)*(x^5 + 13*x^3) - 117*x^2 - 2*(4*sqrt(6)*sqrt(2)*x^3 - 3*x^4 - 18*x^2 + 9)*(-3*x^2 + 1)^(2/3) + (6*x^4 - sqrt(6)*sqrt(2)*(x^5 - 10*x^3 - 27*x) - 108*x^2 - 18)*(-3*x^2 + 1)^(1/3) + 9)/(x^6 - 9*x^4 + 27*x^2 - 27)) + 12*(2*sqrt(6)*sqrt(3)*sqrt(2)*(35*x^9 - 4860*x^7 + 2106*x^5 - 396*x^3 + 27*x) - 3*sqrt(3)*(x^10 + 589*x^8 + 3946*x^6 - 774*x^4 - 27*x^2 + 9))*(-3*x^2 + 1)^(2/3) - 3*sqrt(3)*(x^12 + 3150*x^10 + 77991*x^8 + 4260*x^6 - 14337*x^4 + 2862*x^2 - 135) - 6*(sqrt(6)*sqrt(3)*sqrt(2)*(x^11 - 1591*x^9 + 42426*x^7 - 15102*x^5 + 1269*x^3 - 27*x) - 6*sqrt(3)*(27*x^10 + 2307*x^8 + 4574*x^6 - 2538*x^4 + 279*x^2 - 9))*(-3*x^2 + 1)^(1/3))/(x^12 - 4986*x^10 + 327519*x^8 - 159660*x^6 + 25839*x^4 - 2106*x^2 + 81)) + 1/72*sqrt(6)*sqrt(3)*sqrt(2)*arctan(1/9*(36*sqrt(6)*sqrt(3)*sqrt(2)*(3*x^11 - 1117*x^9 + 3918*x^7 - 1866*x^5 + 255*x^3 - 9*x) + sqrt(3)*(sqrt(6)*sqrt(3)*sqrt(2)*(x^12 + 2184*x^10 - 211215*x^8 + 94152*x^6 - 13581*x^4 + 432*x^2 + 27) + 12*(sqrt(6)*sqrt(3)*sqrt(2)*(x^10 - 107*x^8 - 7262*x^6 + 2322*x^4 - 243*x^2 + 9) + 48*sqrt(3)*(5*x^9 - 245*x^7 + 183*x^5 - 15*x^3))*(-3*x^2 + 1)^(2/3) + 12*sqrt(3)*(29*x^11 + 293*x^9 - 2670*x^7 + 4986*x^5 - 1215*x^3 + 81*x) - 6*(sqrt(6)*sqrt(3)*sqrt(2)*(49*x^10 - 5043*x^8 + 3658*x^6 + 378*x^4 - 171*x^2 + 9) + 2*sqrt(3)*(x^11 + 917*x^9 - 40566*x^7 + 15786*x^5 - 2043*x^3 + 81*x))*(-3*x^2 + 1)^(1/3))*sqrt((x^6 - 93*x^4 - 4*sqrt(6)*sqrt(2)*(x^5 + 13*x^3) - 117*x^2 + 2*(4*sqrt(6)*sqrt(2)*x^3 + 3*x^4 + 18*x^2 - 9)*(-3*x^2 + 1)^(2/3) + (6*x^4 + sqrt(6)*sqrt(2)*(x^5 - 10*x^3 - 27*x) - 108*x^2 - 18)*(-3*x^2 + 1)^(1/3) + 9)/(x^6 - 9*x^4 + 27*x^2 - 27)) + 12*(2*sqrt(6)*sqrt(3)*sqrt(2)*(35*x^9 - 4860*x^7 + 2106*x^5 - 396*x^3 + 27*x) + 3*sqrt(3)*(x^10 + 589*x^8 + 3946*x^6 - 774*x^4 - 27*x^2 + 9))*(-3*x^2 + 1)^(2/3) + 3*sqrt(3)*(x^12 + 3150*x^10 + 77991*x^8 + 4260*x^6 - 14337*x^4 + 2862*x^2 - 135) - 6*(sqrt(6)*sqrt(3)*sqrt(2)*(x^11 - 1591*x^9 + 42426*x^7 - 15102*x^5 + 1269*x^3 - 27*x) + 6*sqrt(3)*(27*x^10 + 2307*x^8 + 4574*x^6 - 2538*x^4 + 279*x^2 - 9))*(-3*x^2 + 1)^(1/3))/(x^12 - 4986*x^10 + 327519*x^8 - 159660*x^6 + 25839*x^4 - 2106*x^2 + 81)) - 1/288*sqrt(6)*sqrt(2)*log(12*(x^6 - 93*x^4 + 4*sqrt(6)*sqrt(2)*(x^5 + 13*x^3) - 117*x^2 - 2*(4*sqrt(6)*sqrt(2)*x^3 - 3*x^4 - 18*x^2 + 9)*(-3*x^2 + 1)^(2/3) + (6*x^4 - sqrt(6)*sqrt(2)*(x^5 - 10*x^3 - 27*x) - 108*x^2 - 18)*(-3*x^2 + 1)^(1/3) + 9)/(x^6 - 9*x^4 + 27*x^2 - 27)) + 1/288*sqrt(6)*sqrt(2)*log(12*(x^6 - 93*x^4 - 4*sqrt(6)*sqrt(2)*(x^5 + 13*x^3) - 117*x^2 + 2*(4*sqrt(6)*sqrt(2)*x^3 + 3*x^4 + 18*x^2 - 9)*(-3*x^2 + 1)^(2/3) + (6*x^4 + sqrt(6)*sqrt(2)*(x^5 - 10*x^3 - 27*x) - 108*x^2 - 18)*(-3*x^2 + 1)^(1/3) + 9)/(x^6 - 9*x^4 + 27*x^2 - 27)) + 1/72*sqrt(3)*log(-(x^12 + 2598*x^10 + 55143*x^8 + 114228*x^6 - 22113*x^4 - 7290*x^2 + 8*(3*x^10 + 576*x^8 + 5598*x^6 + 5832*x^4 - 729*x^2 - sqrt(3)*(41*x^9 + 1368*x^7 + 4482*x^5 + 864*x^3 - 243*x))*(-3*x^2 + 1)^(2/3) - 4*sqrt(3)*(25*x^11 + 2359*x^9 + 15426*x^7 + 6966*x^5 - 4347*x^3 + 243*x) - 4*(84*x^10 + 4536*x^8 + 20880*x^6 + 5832*x^4 - 2916*x^2 - sqrt(3)*(x^11 + 521*x^9 + 7362*x^7 + 10746*x^5 - 1971*x^3 - 243*x))*(-3*x^2 + 1)^(1/3) + 729)/(x^12 - 18*x^10 + 135*x^8 - 540*x^6 + 1215*x^4 - 1458*x^2 + 729))","B",0
78,1,345,0,4.706482," ","integrate(1/(x^2+3)/(3*x^2+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{36} \, \sqrt{3} \arctan\left(\frac{4 \, \sqrt{3} {\left(3 \, x^{4} - 10 \, x^{3} - 36 \, x^{2} + 18 \, x + 9\right)} {\left(3 \, x^{2} + 1\right)}^{\frac{2}{3}} - 4 \, \sqrt{3} {\left(x^{5} + 15 \, x^{4} - 26 \, x^{3} - 54 \, x^{2} + 9 \, x - 9\right)} {\left(3 \, x^{2} + 1\right)}^{\frac{1}{3}} + \sqrt{3} {\left(x^{6} - 2 \, x^{5} - 105 \, x^{4} - 28 \, x^{3} + 63 \, x^{2} + 126 \, x + 9\right)}}{x^{6} + 126 \, x^{5} - 225 \, x^{4} - 828 \, x^{3} - 81 \, x^{2} - 162 \, x + 81}\right) - \frac{1}{36} \, \sqrt{3} \arctan\left(\frac{2 \, {\left(2 \, \sqrt{3} {\left(23 \, x^{3} + 9 \, x\right)} {\left(3 \, x^{2} + 1\right)}^{\frac{2}{3}} + \sqrt{3} {\left(x^{5} - 80 \, x^{3} - 9 \, x\right)} {\left(3 \, x^{2} + 1\right)}^{\frac{1}{3}} + \sqrt{3} {\left(11 \, x^{5} + 10 \, x^{3} - 9 \, x\right)}\right)}}{x^{6} - 657 \, x^{4} - 189 \, x^{2} - 27}\right) + \frac{1}{24} \, \log\left(\frac{x^{6} + 108 \, x^{5} + 549 \, x^{4} + 360 \, x^{3} + 99 \, x^{2} + 6 \, {\left(3 \, x^{4} + 32 \, x^{3} + 42 \, x^{2} + 3\right)} {\left(3 \, x^{2} + 1\right)}^{\frac{2}{3}} + 6 \, {\left(x^{5} + 27 \, x^{4} + 70 \, x^{3} + 18 \, x^{2} + 9 \, x + 3\right)} {\left(3 \, x^{2} + 1\right)}^{\frac{1}{3}} + 108 \, x - 9}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}\right)"," ",0,"1/36*sqrt(3)*arctan((4*sqrt(3)*(3*x^4 - 10*x^3 - 36*x^2 + 18*x + 9)*(3*x^2 + 1)^(2/3) - 4*sqrt(3)*(x^5 + 15*x^4 - 26*x^3 - 54*x^2 + 9*x - 9)*(3*x^2 + 1)^(1/3) + sqrt(3)*(x^6 - 2*x^5 - 105*x^4 - 28*x^3 + 63*x^2 + 126*x + 9))/(x^6 + 126*x^5 - 225*x^4 - 828*x^3 - 81*x^2 - 162*x + 81)) - 1/36*sqrt(3)*arctan(2*(2*sqrt(3)*(23*x^3 + 9*x)*(3*x^2 + 1)^(2/3) + sqrt(3)*(x^5 - 80*x^3 - 9*x)*(3*x^2 + 1)^(1/3) + sqrt(3)*(11*x^5 + 10*x^3 - 9*x))/(x^6 - 657*x^4 - 189*x^2 - 27)) + 1/24*log((x^6 + 108*x^5 + 549*x^4 + 360*x^3 + 99*x^2 + 6*(3*x^4 + 32*x^3 + 42*x^2 + 3)*(3*x^2 + 1)^(2/3) + 6*(x^5 + 27*x^4 + 70*x^3 + 18*x^2 + 9*x + 3)*(3*x^2 + 1)^(1/3) + 108*x - 9)/(x^6 + 9*x^4 + 27*x^2 + 27))","B",0
79,1,1943,0,3.004248," ","integrate(1/(-x^2+1)^(1/3)/(x^2+3),x, algorithm=""fricas"")","-\frac{1}{20736} \cdot 432^{\frac{5}{6}} \sqrt{3} \log\left(\frac{10368 \, {\left(6 \cdot 2^{\frac{2}{3}} {\left(x^{6} + 225 \, x^{4} - 189 \, x^{2} + 27\right)} + 144 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{5} - x^{3}\right)} + {\left(432^{\frac{5}{6}} \sqrt{3} {\left(7 \, x^{3} - 3 \, x\right)} + 216 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 3 \, x^{2}\right)}\right)} {\left(-x^{2} + 1\right)}^{\frac{2}{3}} - 72 \, {\left(x^{5} + 18 \, x^{4} + 24 \, x^{3} - 18 \, x^{2} - 9 \, x\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{3}}\right)}}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}\right) - \frac{1}{20736} \cdot 432^{\frac{5}{6}} \sqrt{3} \log\left(\frac{2592 \, {\left(6 \cdot 2^{\frac{2}{3}} {\left(x^{6} + 225 \, x^{4} - 189 \, x^{2} + 27\right)} + 144 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{5} - x^{3}\right)} + {\left(432^{\frac{5}{6}} \sqrt{3} {\left(7 \, x^{3} - 3 \, x\right)} + 216 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 3 \, x^{2}\right)}\right)} {\left(-x^{2} + 1\right)}^{\frac{2}{3}} - 72 \, {\left(x^{5} + 18 \, x^{4} + 24 \, x^{3} - 18 \, x^{2} - 9 \, x\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{3}}\right)}}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}\right) + \frac{1}{20736} \cdot 432^{\frac{5}{6}} \sqrt{3} \log\left(\frac{10368 \, {\left(6 \cdot 2^{\frac{2}{3}} {\left(x^{6} + 225 \, x^{4} - 189 \, x^{2} + 27\right)} - 144 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{5} - x^{3}\right)} - {\left(432^{\frac{5}{6}} \sqrt{3} {\left(7 \, x^{3} - 3 \, x\right)} - 216 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 3 \, x^{2}\right)}\right)} {\left(-x^{2} + 1\right)}^{\frac{2}{3}} + 72 \, {\left(x^{5} - 18 \, x^{4} + 24 \, x^{3} + 18 \, x^{2} - 9 \, x\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{3}}\right)}}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}\right) + \frac{1}{20736} \cdot 432^{\frac{5}{6}} \sqrt{3} \log\left(\frac{2592 \, {\left(6 \cdot 2^{\frac{2}{3}} {\left(x^{6} + 225 \, x^{4} - 189 \, x^{2} + 27\right)} - 144 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{5} - x^{3}\right)} - {\left(432^{\frac{5}{6}} \sqrt{3} {\left(7 \, x^{3} - 3 \, x\right)} - 216 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 3 \, x^{2}\right)}\right)} {\left(-x^{2} + 1\right)}^{\frac{2}{3}} + 72 \, {\left(x^{5} - 18 \, x^{4} + 24 \, x^{3} + 18 \, x^{2} - 9 \, x\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{3}}\right)}}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}\right) - \frac{1}{1296} \cdot 432^{\frac{5}{6}} \arctan\left(\frac{432^{\frac{5}{6}} {\left(x^{5} - 18 \, x^{3} + 9 \, x\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{3}} + \sqrt{3} 2^{\frac{1}{3}} {\left(432^{\frac{5}{6}} {\left(x^{4} + 9 \, x^{2}\right)} {\left(-x^{2} + 1\right)}^{\frac{2}{3}} - 288 \, \sqrt{3} {\left(2 \, x^{4} - 3 \, x^{2}\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{3}} + 6 \cdot 432^{\frac{1}{6}} {\left(x^{6} + 141 \, x^{4} - 153 \, x^{2} + 27\right)}\right)} - 648 \cdot 432^{\frac{1}{6}} {\left(3 \, x^{3} - x\right)} {\left(-x^{2} + 1\right)}^{\frac{2}{3}} - 72 \, \sqrt{3} {\left(7 \, x^{5} + 6 \, x^{3} - 9 \, x\right)}}{36 \, {\left(x^{6} - 225 \, x^{4} + 243 \, x^{2} - 27\right)}}\right) - \frac{1}{2592} \cdot 432^{\frac{5}{6}} \arctan\left(-\frac{\sqrt{2} {\left(18 \, \sqrt{3} 2^{\frac{2}{3}} {\left(29 \, x^{11} + 879 \, x^{9} - 12078 \, x^{7} + 10638 \, x^{5} - 3807 \, x^{3} + 243 \, x\right)} - 2 \, {\left(-x^{2} + 1\right)}^{\frac{2}{3}} {\left(432^{\frac{5}{6}} {\left(x^{10} + 153 \, x^{8} - 1701 \, x^{6} + 459 \, x^{4}\right)} - 216 \, \sqrt{3} 2^{\frac{1}{3}} {\left(31 \, x^{9} - 297 \, x^{7} - 27 \, x^{5} - 27 \, x^{3}\right)}\right)} - 36 \, {\left(-x^{2} + 1\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left(x^{11} + 1167 \, x^{9} - 13158 \, x^{7} + 17550 \, x^{5} - 4779 \, x^{3} + 243 \, x\right)} - 8 \, \sqrt{3} {\left(13 \, x^{10} - 6 \, x^{8} - 1404 \, x^{6} + 1350 \, x^{4} - 81 \, x^{2}\right)}\right)} - 3 \cdot 432^{\frac{1}{6}} {\left(x^{12} + 7620 \, x^{10} - 92115 \, x^{8} + 169776 \, x^{6} - 109269 \, x^{4} + 16524 \, x^{2} - 729\right)}\right)} \sqrt{\frac{6 \cdot 2^{\frac{2}{3}} {\left(x^{6} + 225 \, x^{4} - 189 \, x^{2} + 27\right)} + 144 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{5} - x^{3}\right)} + {\left(432^{\frac{5}{6}} \sqrt{3} {\left(7 \, x^{3} - 3 \, x\right)} + 216 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 3 \, x^{2}\right)}\right)} {\left(-x^{2} + 1\right)}^{\frac{2}{3}} - 72 \, {\left(x^{5} + 18 \, x^{4} + 24 \, x^{3} - 18 \, x^{2} - 9 \, x\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{3}}}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}} - 216 \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{10} + 144 \, x^{8} - 918 \, x^{6} + 2808 \, x^{4} - 243 \, x^{2}\right)} - 3 \cdot 432^{\frac{1}{6}} {\left(31 \, x^{9} - 568 \, x^{7} + 1710 \, x^{5} - 432 \, x^{3} + 27 \, x\right)}\right)} {\left(-x^{2} + 1\right)}^{\frac{2}{3}} - 18 \, \sqrt{3} {\left(x^{12} - 366 \, x^{10} + 14535 \, x^{8} - 42660 \, x^{6} + 58239 \, x^{4} - 14094 \, x^{2} + 729\right)} + 144 \, \sqrt{3} {\left(11 \, x^{11} - 807 \, x^{9} + 4518 \, x^{7} - 5238 \, x^{5} + 3807 \, x^{3} - 243 \, x\right)} - {\left(-x^{2} + 1\right)}^{\frac{1}{3}} {\left(432^{\frac{5}{6}} {\left(x^{11} - 1215 \, x^{9} + 11754 \, x^{7} - 21006 \, x^{5} + 5589 \, x^{3} - 243 \, x\right)} - 432 \, \sqrt{3} 2^{\frac{1}{3}} {\left(13 \, x^{10} - 120 \, x^{8} + 1242 \, x^{6} - 1728 \, x^{4} + 81 \, x^{2}\right)}\right)}}{18 \, {\left(x^{12} - 8334 \, x^{10} + 110727 \, x^{8} - 301860 \, x^{6} + 187839 \, x^{4} - 21870 \, x^{2} + 729\right)}}\right) - \frac{1}{2592} \cdot 432^{\frac{5}{6}} \arctan\left(\frac{\sqrt{2} {\left(18 \, \sqrt{3} 2^{\frac{2}{3}} {\left(29 \, x^{11} + 879 \, x^{9} - 12078 \, x^{7} + 10638 \, x^{5} - 3807 \, x^{3} + 243 \, x\right)} + 2 \, {\left(-x^{2} + 1\right)}^{\frac{2}{3}} {\left(432^{\frac{5}{6}} {\left(x^{10} + 153 \, x^{8} - 1701 \, x^{6} + 459 \, x^{4}\right)} + 216 \, \sqrt{3} 2^{\frac{1}{3}} {\left(31 \, x^{9} - 297 \, x^{7} - 27 \, x^{5} - 27 \, x^{3}\right)}\right)} - 36 \, {\left(-x^{2} + 1\right)}^{\frac{1}{3}} {\left(\sqrt{3} {\left(x^{11} + 1167 \, x^{9} - 13158 \, x^{7} + 17550 \, x^{5} - 4779 \, x^{3} + 243 \, x\right)} + 8 \, \sqrt{3} {\left(13 \, x^{10} - 6 \, x^{8} - 1404 \, x^{6} + 1350 \, x^{4} - 81 \, x^{2}\right)}\right)} + 3 \cdot 432^{\frac{1}{6}} {\left(x^{12} + 7620 \, x^{10} - 92115 \, x^{8} + 169776 \, x^{6} - 109269 \, x^{4} + 16524 \, x^{2} - 729\right)}\right)} \sqrt{\frac{6 \cdot 2^{\frac{2}{3}} {\left(x^{6} + 225 \, x^{4} - 189 \, x^{2} + 27\right)} - 144 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{5} - x^{3}\right)} - {\left(432^{\frac{5}{6}} \sqrt{3} {\left(7 \, x^{3} - 3 \, x\right)} - 216 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 3 \, x^{2}\right)}\right)} {\left(-x^{2} + 1\right)}^{\frac{2}{3}} + 72 \, {\left(x^{5} - 18 \, x^{4} + 24 \, x^{3} + 18 \, x^{2} - 9 \, x\right)} {\left(-x^{2} + 1\right)}^{\frac{1}{3}}}{x^{6} + 9 \, x^{4} + 27 \, x^{2} + 27}} - 216 \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{10} + 144 \, x^{8} - 918 \, x^{6} + 2808 \, x^{4} - 243 \, x^{2}\right)} + 3 \cdot 432^{\frac{1}{6}} {\left(31 \, x^{9} - 568 \, x^{7} + 1710 \, x^{5} - 432 \, x^{3} + 27 \, x\right)}\right)} {\left(-x^{2} + 1\right)}^{\frac{2}{3}} - 18 \, \sqrt{3} {\left(x^{12} - 366 \, x^{10} + 14535 \, x^{8} - 42660 \, x^{6} + 58239 \, x^{4} - 14094 \, x^{2} + 729\right)} - 144 \, \sqrt{3} {\left(11 \, x^{11} - 807 \, x^{9} + 4518 \, x^{7} - 5238 \, x^{5} + 3807 \, x^{3} - 243 \, x\right)} + {\left(-x^{2} + 1\right)}^{\frac{1}{3}} {\left(432^{\frac{5}{6}} {\left(x^{11} - 1215 \, x^{9} + 11754 \, x^{7} - 21006 \, x^{5} + 5589 \, x^{3} - 243 \, x\right)} + 432 \, \sqrt{3} 2^{\frac{1}{3}} {\left(13 \, x^{10} - 120 \, x^{8} + 1242 \, x^{6} - 1728 \, x^{4} + 81 \, x^{2}\right)}\right)}}{18 \, {\left(x^{12} - 8334 \, x^{10} + 110727 \, x^{8} - 301860 \, x^{6} + 187839 \, x^{4} - 21870 \, x^{2} + 729\right)}}\right)"," ",0,"-1/20736*432^(5/6)*sqrt(3)*log(10368*(6*2^(2/3)*(x^6 + 225*x^4 - 189*x^2 + 27) + 144*432^(1/6)*sqrt(3)*(x^5 - x^3) + (432^(5/6)*sqrt(3)*(7*x^3 - 3*x) + 216*2^(1/3)*(x^4 + 3*x^2))*(-x^2 + 1)^(2/3) - 72*(x^5 + 18*x^4 + 24*x^3 - 18*x^2 - 9*x)*(-x^2 + 1)^(1/3))/(x^6 + 9*x^4 + 27*x^2 + 27)) - 1/20736*432^(5/6)*sqrt(3)*log(2592*(6*2^(2/3)*(x^6 + 225*x^4 - 189*x^2 + 27) + 144*432^(1/6)*sqrt(3)*(x^5 - x^3) + (432^(5/6)*sqrt(3)*(7*x^3 - 3*x) + 216*2^(1/3)*(x^4 + 3*x^2))*(-x^2 + 1)^(2/3) - 72*(x^5 + 18*x^4 + 24*x^3 - 18*x^2 - 9*x)*(-x^2 + 1)^(1/3))/(x^6 + 9*x^4 + 27*x^2 + 27)) + 1/20736*432^(5/6)*sqrt(3)*log(10368*(6*2^(2/3)*(x^6 + 225*x^4 - 189*x^2 + 27) - 144*432^(1/6)*sqrt(3)*(x^5 - x^3) - (432^(5/6)*sqrt(3)*(7*x^3 - 3*x) - 216*2^(1/3)*(x^4 + 3*x^2))*(-x^2 + 1)^(2/3) + 72*(x^5 - 18*x^4 + 24*x^3 + 18*x^2 - 9*x)*(-x^2 + 1)^(1/3))/(x^6 + 9*x^4 + 27*x^2 + 27)) + 1/20736*432^(5/6)*sqrt(3)*log(2592*(6*2^(2/3)*(x^6 + 225*x^4 - 189*x^2 + 27) - 144*432^(1/6)*sqrt(3)*(x^5 - x^3) - (432^(5/6)*sqrt(3)*(7*x^3 - 3*x) - 216*2^(1/3)*(x^4 + 3*x^2))*(-x^2 + 1)^(2/3) + 72*(x^5 - 18*x^4 + 24*x^3 + 18*x^2 - 9*x)*(-x^2 + 1)^(1/3))/(x^6 + 9*x^4 + 27*x^2 + 27)) - 1/1296*432^(5/6)*arctan(1/36*(432^(5/6)*(x^5 - 18*x^3 + 9*x)*(-x^2 + 1)^(1/3) + sqrt(3)*2^(1/3)*(432^(5/6)*(x^4 + 9*x^2)*(-x^2 + 1)^(2/3) - 288*sqrt(3)*(2*x^4 - 3*x^2)*(-x^2 + 1)^(1/3) + 6*432^(1/6)*(x^6 + 141*x^4 - 153*x^2 + 27)) - 648*432^(1/6)*(3*x^3 - x)*(-x^2 + 1)^(2/3) - 72*sqrt(3)*(7*x^5 + 6*x^3 - 9*x))/(x^6 - 225*x^4 + 243*x^2 - 27)) - 1/2592*432^(5/6)*arctan(-1/18*(sqrt(2)*(18*sqrt(3)*2^(2/3)*(29*x^11 + 879*x^9 - 12078*x^7 + 10638*x^5 - 3807*x^3 + 243*x) - 2*(-x^2 + 1)^(2/3)*(432^(5/6)*(x^10 + 153*x^8 - 1701*x^6 + 459*x^4) - 216*sqrt(3)*2^(1/3)*(31*x^9 - 297*x^7 - 27*x^5 - 27*x^3)) - 36*(-x^2 + 1)^(1/3)*(sqrt(3)*(x^11 + 1167*x^9 - 13158*x^7 + 17550*x^5 - 4779*x^3 + 243*x) - 8*sqrt(3)*(13*x^10 - 6*x^8 - 1404*x^6 + 1350*x^4 - 81*x^2)) - 3*432^(1/6)*(x^12 + 7620*x^10 - 92115*x^8 + 169776*x^6 - 109269*x^4 + 16524*x^2 - 729))*sqrt((6*2^(2/3)*(x^6 + 225*x^4 - 189*x^2 + 27) + 144*432^(1/6)*sqrt(3)*(x^5 - x^3) + (432^(5/6)*sqrt(3)*(7*x^3 - 3*x) + 216*2^(1/3)*(x^4 + 3*x^2))*(-x^2 + 1)^(2/3) - 72*(x^5 + 18*x^4 + 24*x^3 - 18*x^2 - 9*x)*(-x^2 + 1)^(1/3))/(x^6 + 9*x^4 + 27*x^2 + 27)) - 216*(sqrt(3)*2^(2/3)*(x^10 + 144*x^8 - 918*x^6 + 2808*x^4 - 243*x^2) - 3*432^(1/6)*(31*x^9 - 568*x^7 + 1710*x^5 - 432*x^3 + 27*x))*(-x^2 + 1)^(2/3) - 18*sqrt(3)*(x^12 - 366*x^10 + 14535*x^8 - 42660*x^6 + 58239*x^4 - 14094*x^2 + 729) + 144*sqrt(3)*(11*x^11 - 807*x^9 + 4518*x^7 - 5238*x^5 + 3807*x^3 - 243*x) - (-x^2 + 1)^(1/3)*(432^(5/6)*(x^11 - 1215*x^9 + 11754*x^7 - 21006*x^5 + 5589*x^3 - 243*x) - 432*sqrt(3)*2^(1/3)*(13*x^10 - 120*x^8 + 1242*x^6 - 1728*x^4 + 81*x^2)))/(x^12 - 8334*x^10 + 110727*x^8 - 301860*x^6 + 187839*x^4 - 21870*x^2 + 729)) - 1/2592*432^(5/6)*arctan(1/18*(sqrt(2)*(18*sqrt(3)*2^(2/3)*(29*x^11 + 879*x^9 - 12078*x^7 + 10638*x^5 - 3807*x^3 + 243*x) + 2*(-x^2 + 1)^(2/3)*(432^(5/6)*(x^10 + 153*x^8 - 1701*x^6 + 459*x^4) + 216*sqrt(3)*2^(1/3)*(31*x^9 - 297*x^7 - 27*x^5 - 27*x^3)) - 36*(-x^2 + 1)^(1/3)*(sqrt(3)*(x^11 + 1167*x^9 - 13158*x^7 + 17550*x^5 - 4779*x^3 + 243*x) + 8*sqrt(3)*(13*x^10 - 6*x^8 - 1404*x^6 + 1350*x^4 - 81*x^2)) + 3*432^(1/6)*(x^12 + 7620*x^10 - 92115*x^8 + 169776*x^6 - 109269*x^4 + 16524*x^2 - 729))*sqrt((6*2^(2/3)*(x^6 + 225*x^4 - 189*x^2 + 27) - 144*432^(1/6)*sqrt(3)*(x^5 - x^3) - (432^(5/6)*sqrt(3)*(7*x^3 - 3*x) - 216*2^(1/3)*(x^4 + 3*x^2))*(-x^2 + 1)^(2/3) + 72*(x^5 - 18*x^4 + 24*x^3 + 18*x^2 - 9*x)*(-x^2 + 1)^(1/3))/(x^6 + 9*x^4 + 27*x^2 + 27)) - 216*(sqrt(3)*2^(2/3)*(x^10 + 144*x^8 - 918*x^6 + 2808*x^4 - 243*x^2) + 3*432^(1/6)*(31*x^9 - 568*x^7 + 1710*x^5 - 432*x^3 + 27*x))*(-x^2 + 1)^(2/3) - 18*sqrt(3)*(x^12 - 366*x^10 + 14535*x^8 - 42660*x^6 + 58239*x^4 - 14094*x^2 + 729) - 144*sqrt(3)*(11*x^11 - 807*x^9 + 4518*x^7 - 5238*x^5 + 3807*x^3 - 243*x) + (-x^2 + 1)^(1/3)*(432^(5/6)*(x^11 - 1215*x^9 + 11754*x^7 - 21006*x^5 + 5589*x^3 - 243*x) + 432*sqrt(3)*2^(1/3)*(13*x^10 - 120*x^8 + 1242*x^6 - 1728*x^4 + 81*x^2)))/(x^12 - 8334*x^10 + 110727*x^8 - 301860*x^6 + 187839*x^4 - 21870*x^2 + 729))","B",0
80,1,1685,0,3.676933," ","integrate(1/(-x^2+3)/(x^2+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{2592} \cdot 432^{\frac{5}{6}} \sqrt{3} \arctan\left(-\frac{2592 \, x^{11} - 393984 \, x^{9} - 699840 \, x^{7} - 373248 \, x^{5} - 69984 \, x^{3} - \sqrt{6} {\left(18 \, \sqrt{3} 2^{\frac{2}{3}} {\left(19 \, x^{11} + 111 \, x^{9} + 6030 \, x^{7} + 7182 \, x^{5} + 2511 \, x^{3} + 243 \, x\right)} + 3 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{12} + 924 \, x^{10} - 33363 \, x^{8} - 60912 \, x^{6} - 36693 \, x^{4} - 8748 \, x^{2} - 729\right)} + {\left(432^{\frac{5}{6}} \sqrt{3} {\left(x^{10} - 78 \, x^{8} - 720 \, x^{6} - 594 \, x^{4} - 81 \, x^{2}\right)} + 432 \, \sqrt{3} 2^{\frac{1}{3}} {\left(13 \, x^{9} - 177 \, x^{7} - 153 \, x^{5} - 27 \, x^{3}\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} + 36 \, {\left(96 \, x^{10} - 4032 \, x^{8} - 2592 \, x^{6} + \sqrt{3} {\left(x^{11} + 369 \, x^{9} - 3654 \, x^{7} - 5454 \, x^{5} - 2187 \, x^{3} - 243 \, x\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{2 \cdot 2^{\frac{2}{3}} {\left(x^{6} - 57 \, x^{4} - 117 \, x^{2} - 27\right)} + {\left(x^{2} + 1\right)}^{\frac{2}{3}} {\left(432^{\frac{5}{6}} {\left(x^{3} + x\right)} + 24 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 9 \, x^{2}\right)}\right)} - 8 \, {\left(6 \, x^{4} - 18 \, x^{2} + \sqrt{3} {\left(x^{5} - 9 \, x\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}} - 8 \cdot 432^{\frac{1}{6}} {\left(x^{5} + 18 \, x^{3} + 9 \, x\right)}}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}} + 216 \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{10} + 276 \, x^{8} + 1206 \, x^{6} + 756 \, x^{4} + 81 \, x^{2}\right)} + 432^{\frac{1}{6}} \sqrt{3} {\left(31 \, x^{9} - 1620 \, x^{7} - 2070 \, x^{5} - 756 \, x^{3} - 81 \, x\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} + 18 \, \sqrt{3} {\left(x^{12} + 1422 \, x^{10} + 21447 \, x^{8} + 27108 \, x^{6} + 16767 \, x^{4} + 6318 \, x^{2} + 729\right)} + {\left(432^{\frac{5}{6}} \sqrt{3} {\left(x^{11} - 681 \, x^{9} + 4338 \, x^{7} + 6102 \, x^{5} + 2349 \, x^{3} + 243 \, x\right)} + 3888 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{10} + 44 \, x^{8} + 94 \, x^{6} + 60 \, x^{4} + 9 \, x^{2}\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}{54 \, {\left(x^{12} - 2178 \, x^{10} + 46791 \, x^{8} + 83268 \, x^{6} + 47871 \, x^{4} + 10206 \, x^{2} + 729\right)}}\right) + \frac{1}{2592} \cdot 432^{\frac{5}{6}} \sqrt{3} \arctan\left(-\frac{2592 \, x^{11} - 393984 \, x^{9} - 699840 \, x^{7} - 373248 \, x^{5} - 69984 \, x^{3} + \sqrt{6} {\left(18 \, \sqrt{3} 2^{\frac{2}{3}} {\left(19 \, x^{11} + 111 \, x^{9} + 6030 \, x^{7} + 7182 \, x^{5} + 2511 \, x^{3} + 243 \, x\right)} - 3 \cdot 432^{\frac{1}{6}} \sqrt{3} {\left(x^{12} + 924 \, x^{10} - 33363 \, x^{8} - 60912 \, x^{6} - 36693 \, x^{4} - 8748 \, x^{2} - 729\right)} - {\left(432^{\frac{5}{6}} \sqrt{3} {\left(x^{10} - 78 \, x^{8} - 720 \, x^{6} - 594 \, x^{4} - 81 \, x^{2}\right)} - 432 \, \sqrt{3} 2^{\frac{1}{3}} {\left(13 \, x^{9} - 177 \, x^{7} - 153 \, x^{5} - 27 \, x^{3}\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} - 36 \, {\left(96 \, x^{10} - 4032 \, x^{8} - 2592 \, x^{6} - \sqrt{3} {\left(x^{11} + 369 \, x^{9} - 3654 \, x^{7} - 5454 \, x^{5} - 2187 \, x^{3} - 243 \, x\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{2 \cdot 2^{\frac{2}{3}} {\left(x^{6} - 57 \, x^{4} - 117 \, x^{2} - 27\right)} - {\left(x^{2} + 1\right)}^{\frac{2}{3}} {\left(432^{\frac{5}{6}} {\left(x^{3} + x\right)} - 24 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 9 \, x^{2}\right)}\right)} - 8 \, {\left(6 \, x^{4} - 18 \, x^{2} - \sqrt{3} {\left(x^{5} - 9 \, x\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 8 \cdot 432^{\frac{1}{6}} {\left(x^{5} + 18 \, x^{3} + 9 \, x\right)}}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}} - 216 \, {\left(\sqrt{3} 2^{\frac{2}{3}} {\left(x^{10} + 276 \, x^{8} + 1206 \, x^{6} + 756 \, x^{4} + 81 \, x^{2}\right)} - 432^{\frac{1}{6}} \sqrt{3} {\left(31 \, x^{9} - 1620 \, x^{7} - 2070 \, x^{5} - 756 \, x^{3} - 81 \, x\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} - 18 \, \sqrt{3} {\left(x^{12} + 1422 \, x^{10} + 21447 \, x^{8} + 27108 \, x^{6} + 16767 \, x^{4} + 6318 \, x^{2} + 729\right)} + {\left(432^{\frac{5}{6}} \sqrt{3} {\left(x^{11} - 681 \, x^{9} + 4338 \, x^{7} + 6102 \, x^{5} + 2349 \, x^{3} + 243 \, x\right)} - 3888 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{10} + 44 \, x^{8} + 94 \, x^{6} + 60 \, x^{4} + 9 \, x^{2}\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}}}{54 \, {\left(x^{12} - 2178 \, x^{10} + 46791 \, x^{8} + 83268 \, x^{6} + 47871 \, x^{4} + 10206 \, x^{2} + 729\right)}}\right) + \frac{1}{5184} \cdot 432^{\frac{5}{6}} \log\left(-\frac{432^{\frac{5}{6}} {\left(x^{6} + 69 \, x^{4} + 63 \, x^{2} + 27\right)} + 864 \, {\left(9 \, x^{3} + \sqrt{3} {\left(x^{4} + 9 \, x^{2}\right)} + 9 \, x\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} + 432 \cdot 2^{\frac{1}{3}} {\left(5 \, x^{5} + 30 \, x^{3} + 9 \, x\right)} + 432 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} {\left(2^{\frac{2}{3}} {\left(x^{5} + 18 \, x^{3} + 9 \, x\right)} + 4 \cdot 432^{\frac{1}{6}} {\left(x^{4} + 3 \, x^{2}\right)}\right)}}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}\right) - \frac{1}{5184} \cdot 432^{\frac{5}{6}} \log\left(\frac{432^{\frac{5}{6}} {\left(x^{6} + 69 \, x^{4} + 63 \, x^{2} + 27\right)} - 864 \, {\left(9 \, x^{3} - \sqrt{3} {\left(x^{4} + 9 \, x^{2}\right)} + 9 \, x\right)} {\left(x^{2} + 1\right)}^{\frac{2}{3}} - 432 \cdot 2^{\frac{1}{3}} {\left(5 \, x^{5} + 30 \, x^{3} + 9 \, x\right)} - 432 \, {\left(x^{2} + 1\right)}^{\frac{1}{3}} {\left(2^{\frac{2}{3}} {\left(x^{5} + 18 \, x^{3} + 9 \, x\right)} - 4 \cdot 432^{\frac{1}{6}} {\left(x^{4} + 3 \, x^{2}\right)}\right)}}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}\right) - \frac{1}{10368} \cdot 432^{\frac{5}{6}} \log\left(\frac{31104 \, {\left(2 \cdot 2^{\frac{2}{3}} {\left(x^{6} - 57 \, x^{4} - 117 \, x^{2} - 27\right)} + {\left(x^{2} + 1\right)}^{\frac{2}{3}} {\left(432^{\frac{5}{6}} {\left(x^{3} + x\right)} + 24 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 9 \, x^{2}\right)}\right)} - 8 \, {\left(6 \, x^{4} - 18 \, x^{2} + \sqrt{3} {\left(x^{5} - 9 \, x\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}} - 8 \cdot 432^{\frac{1}{6}} {\left(x^{5} + 18 \, x^{3} + 9 \, x\right)}\right)}}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}\right) + \frac{1}{10368} \cdot 432^{\frac{5}{6}} \log\left(\frac{31104 \, {\left(2 \cdot 2^{\frac{2}{3}} {\left(x^{6} - 57 \, x^{4} - 117 \, x^{2} - 27\right)} - {\left(x^{2} + 1\right)}^{\frac{2}{3}} {\left(432^{\frac{5}{6}} {\left(x^{3} + x\right)} - 24 \cdot 2^{\frac{1}{3}} {\left(x^{4} + 9 \, x^{2}\right)}\right)} - 8 \, {\left(6 \, x^{4} - 18 \, x^{2} - \sqrt{3} {\left(x^{5} - 9 \, x\right)}\right)} {\left(x^{2} + 1\right)}^{\frac{1}{3}} + 8 \cdot 432^{\frac{1}{6}} {\left(x^{5} + 18 \, x^{3} + 9 \, x\right)}\right)}}{x^{6} - 9 \, x^{4} + 27 \, x^{2} - 27}\right)"," ",0,"1/2592*432^(5/6)*sqrt(3)*arctan(-1/54*(2592*x^11 - 393984*x^9 - 699840*x^7 - 373248*x^5 - 69984*x^3 - sqrt(6)*(18*sqrt(3)*2^(2/3)*(19*x^11 + 111*x^9 + 6030*x^7 + 7182*x^5 + 2511*x^3 + 243*x) + 3*432^(1/6)*sqrt(3)*(x^12 + 924*x^10 - 33363*x^8 - 60912*x^6 - 36693*x^4 - 8748*x^2 - 729) + (432^(5/6)*sqrt(3)*(x^10 - 78*x^8 - 720*x^6 - 594*x^4 - 81*x^2) + 432*sqrt(3)*2^(1/3)*(13*x^9 - 177*x^7 - 153*x^5 - 27*x^3))*(x^2 + 1)^(2/3) + 36*(96*x^10 - 4032*x^8 - 2592*x^6 + sqrt(3)*(x^11 + 369*x^9 - 3654*x^7 - 5454*x^5 - 2187*x^3 - 243*x))*(x^2 + 1)^(1/3))*sqrt((2*2^(2/3)*(x^6 - 57*x^4 - 117*x^2 - 27) + (x^2 + 1)^(2/3)*(432^(5/6)*(x^3 + x) + 24*2^(1/3)*(x^4 + 9*x^2)) - 8*(6*x^4 - 18*x^2 + sqrt(3)*(x^5 - 9*x))*(x^2 + 1)^(1/3) - 8*432^(1/6)*(x^5 + 18*x^3 + 9*x))/(x^6 - 9*x^4 + 27*x^2 - 27)) + 216*(sqrt(3)*2^(2/3)*(x^10 + 276*x^8 + 1206*x^6 + 756*x^4 + 81*x^2) + 432^(1/6)*sqrt(3)*(31*x^9 - 1620*x^7 - 2070*x^5 - 756*x^3 - 81*x))*(x^2 + 1)^(2/3) + 18*sqrt(3)*(x^12 + 1422*x^10 + 21447*x^8 + 27108*x^6 + 16767*x^4 + 6318*x^2 + 729) + (432^(5/6)*sqrt(3)*(x^11 - 681*x^9 + 4338*x^7 + 6102*x^5 + 2349*x^3 + 243*x) + 3888*sqrt(3)*2^(1/3)*(x^10 + 44*x^8 + 94*x^6 + 60*x^4 + 9*x^2))*(x^2 + 1)^(1/3))/(x^12 - 2178*x^10 + 46791*x^8 + 83268*x^6 + 47871*x^4 + 10206*x^2 + 729)) + 1/2592*432^(5/6)*sqrt(3)*arctan(-1/54*(2592*x^11 - 393984*x^9 - 699840*x^7 - 373248*x^5 - 69984*x^3 + sqrt(6)*(18*sqrt(3)*2^(2/3)*(19*x^11 + 111*x^9 + 6030*x^7 + 7182*x^5 + 2511*x^3 + 243*x) - 3*432^(1/6)*sqrt(3)*(x^12 + 924*x^10 - 33363*x^8 - 60912*x^6 - 36693*x^4 - 8748*x^2 - 729) - (432^(5/6)*sqrt(3)*(x^10 - 78*x^8 - 720*x^6 - 594*x^4 - 81*x^2) - 432*sqrt(3)*2^(1/3)*(13*x^9 - 177*x^7 - 153*x^5 - 27*x^3))*(x^2 + 1)^(2/3) - 36*(96*x^10 - 4032*x^8 - 2592*x^6 - sqrt(3)*(x^11 + 369*x^9 - 3654*x^7 - 5454*x^5 - 2187*x^3 - 243*x))*(x^2 + 1)^(1/3))*sqrt((2*2^(2/3)*(x^6 - 57*x^4 - 117*x^2 - 27) - (x^2 + 1)^(2/3)*(432^(5/6)*(x^3 + x) - 24*2^(1/3)*(x^4 + 9*x^2)) - 8*(6*x^4 - 18*x^2 - sqrt(3)*(x^5 - 9*x))*(x^2 + 1)^(1/3) + 8*432^(1/6)*(x^5 + 18*x^3 + 9*x))/(x^6 - 9*x^4 + 27*x^2 - 27)) - 216*(sqrt(3)*2^(2/3)*(x^10 + 276*x^8 + 1206*x^6 + 756*x^4 + 81*x^2) - 432^(1/6)*sqrt(3)*(31*x^9 - 1620*x^7 - 2070*x^5 - 756*x^3 - 81*x))*(x^2 + 1)^(2/3) - 18*sqrt(3)*(x^12 + 1422*x^10 + 21447*x^8 + 27108*x^6 + 16767*x^4 + 6318*x^2 + 729) + (432^(5/6)*sqrt(3)*(x^11 - 681*x^9 + 4338*x^7 + 6102*x^5 + 2349*x^3 + 243*x) - 3888*sqrt(3)*2^(1/3)*(x^10 + 44*x^8 + 94*x^6 + 60*x^4 + 9*x^2))*(x^2 + 1)^(1/3))/(x^12 - 2178*x^10 + 46791*x^8 + 83268*x^6 + 47871*x^4 + 10206*x^2 + 729)) + 1/5184*432^(5/6)*log(-(432^(5/6)*(x^6 + 69*x^4 + 63*x^2 + 27) + 864*(9*x^3 + sqrt(3)*(x^4 + 9*x^2) + 9*x)*(x^2 + 1)^(2/3) + 432*2^(1/3)*(5*x^5 + 30*x^3 + 9*x) + 432*(x^2 + 1)^(1/3)*(2^(2/3)*(x^5 + 18*x^3 + 9*x) + 4*432^(1/6)*(x^4 + 3*x^2)))/(x^6 - 9*x^4 + 27*x^2 - 27)) - 1/5184*432^(5/6)*log((432^(5/6)*(x^6 + 69*x^4 + 63*x^2 + 27) - 864*(9*x^3 - sqrt(3)*(x^4 + 9*x^2) + 9*x)*(x^2 + 1)^(2/3) - 432*2^(1/3)*(5*x^5 + 30*x^3 + 9*x) - 432*(x^2 + 1)^(1/3)*(2^(2/3)*(x^5 + 18*x^3 + 9*x) - 4*432^(1/6)*(x^4 + 3*x^2)))/(x^6 - 9*x^4 + 27*x^2 - 27)) - 1/10368*432^(5/6)*log(31104*(2*2^(2/3)*(x^6 - 57*x^4 - 117*x^2 - 27) + (x^2 + 1)^(2/3)*(432^(5/6)*(x^3 + x) + 24*2^(1/3)*(x^4 + 9*x^2)) - 8*(6*x^4 - 18*x^2 + sqrt(3)*(x^5 - 9*x))*(x^2 + 1)^(1/3) - 8*432^(1/6)*(x^5 + 18*x^3 + 9*x))/(x^6 - 9*x^4 + 27*x^2 - 27)) + 1/10368*432^(5/6)*log(31104*(2*2^(2/3)*(x^6 - 57*x^4 - 117*x^2 - 27) - (x^2 + 1)^(2/3)*(432^(5/6)*(x^3 + x) - 24*2^(1/3)*(x^4 + 9*x^2)) - 8*(6*x^4 - 18*x^2 - sqrt(3)*(x^5 - 9*x))*(x^2 + 1)^(1/3) + 8*432^(1/6)*(x^5 + 18*x^3 + 9*x))/(x^6 - 9*x^4 + 27*x^2 - 27))","B",0
81,1,85,0,1.319396," ","integrate((a+x)/(-a+x)/(a^2*x-(a^2+1)*x^2+x^3)^(1/2),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{\sqrt{a^{2} x - {\left(a^{2} + 1\right)} x^{2} + x^{3}} {\left(a^{2} - 2 \, {\left(a^{2} - a + 1\right)} x + x^{2}\right)}}{2 \, {\left({\left(a - 1\right)} x^{3} - {\left(a^{3} - a^{2} + a - 1\right)} x^{2} + {\left(a^{3} - a^{2}\right)} x\right)}}\right)}{a - 1}"," ",0,"arctan(1/2*sqrt(a^2*x - (a^2 + 1)*x^2 + x^3)*(a^2 - 2*(a^2 - a + 1)*x + x^2)/((a - 1)*x^3 - (a^3 - a^2 + a - 1)*x^2 + (a^3 - a^2)*x))/(a - 1)","A",0
82,1,70,0,1.292778," ","integrate((-2+a+x)/(-a+x)/((2-a)*a*x+(a^2-2*a-1)*x^2+x^3)^(1/2),x, algorithm=""fricas"")","\frac{\log\left(-\frac{a^{2} - 2 \, {\left(a^{2} - a\right)} x - x^{2} + 2 \, \sqrt{{\left(a^{2} - 2 \, a - 1\right)} x^{2} + x^{3} - {\left(a^{2} - 2 \, a\right)} x} a}{a^{2} - 2 \, a x + x^{2}}\right)}{a}"," ",0,"log(-(a^2 - 2*(a^2 - a)*x - x^2 + 2*sqrt((a^2 - 2*a - 1)*x^2 + x^3 - (a^2 - 2*a)*x)*a)/(a^2 - 2*a*x + x^2))/a","C",0
83,1,63,0,1.021710," ","integrate((-a+(-1+2*a)*x)/(-a+x)/(a^2*x-(a^2+2*a-1)*x^2+(-1+2*a)*x^3)^(1/2),x, algorithm=""fricas"")","\log\left(-\frac{a^{2} - 2 \, {\left(a - 1\right)} x - x^{2} + 2 \, \sqrt{{\left(2 \, a - 1\right)} x^{3} + a^{2} x - {\left(a^{2} + 2 \, a - 1\right)} x^{2}}}{a^{2} - 2 \, a x + x^{2}}\right)"," ",0,"log(-(a^2 - 2*(a - 1)*x - x^2 + 2*sqrt((2*a - 1)*x^3 + a^2*x - (a^2 + 2*a - 1)*x^2))/(a^2 - 2*a*x + x^2))","A",0
84,-2,0,0,0.000000," ","integrate((1-2^(1/3)*x)/(2^(2/3)+x)/(x^3+1)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   catdef: division by zero","F(-2)",0
85,1,44,0,1.270821," ","integrate((1+x)/(-2+x)/(x^3+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(\frac{x^{3} + 12 \, x^{2} - 6 \, \sqrt{x^{3} + 1} {\left(x + 1\right)} - 6 \, x + 10}{x^{3} - 6 \, x^{2} + 12 \, x - 8}\right)"," ",0,"1/3*log((x^3 + 12*x^2 - 6*sqrt(x^3 + 1)*(x + 1) - 6*x + 10)/(x^3 - 6*x^2 + 12*x - 8))","B",0
86,1,7739,0,16.925303," ","integrate(x/(10+x^3+6*3^(1/2))/(x^3+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{432} \, \sqrt{-2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(56 \, \sqrt{3} + 97\right)} \sqrt{-56 \, \sqrt{3} + 97} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} \arctan\left(-\frac{6 \, \sqrt{x^{3} + 1} {\left({\left(459 \, x^{16} - 13425 \, x^{15} - 33201 \, x^{14} + 950652 \, x^{13} - 997302 \, x^{12} - 14760972 \, x^{11} + 47069892 \, x^{10} - 49762248 \, x^{9} - 8212536 \, x^{8} + 84377808 \, x^{7} - 88427328 \, x^{6} + 25613856 \, x^{5} + 27458496 \, x^{4} - 36433344 \, x^{3} + 12609792 \, x^{2} + \sqrt{3} {\left(265 \, x^{16} - 7751 \, x^{15} - 19167 \, x^{14} + 548864 \, x^{13} - 575818 \, x^{12} - 8522268 \, x^{11} + 27175852 \, x^{10} - 28730312 \, x^{9} - 4741560 \, x^{8} + 48715600 \, x^{7} - 51053600 \, x^{6} + 14788128 \, x^{5} + 15853184 \, x^{4} - 21034816 \, x^{3} + 7280256 \, x^{2} - 2488832 \, x - 1889792\right)} + {\left(3691 \, x^{16} - 6128 \, x^{15} - 537864 \, x^{14} + 1586477 \, x^{13} + 16210952 \, x^{12} - 77181756 \, x^{11} + 84218362 \, x^{10} + 71018320 \, x^{9} - 254455812 \, x^{8} + 196076008 \, x^{7} + 120105208 \, x^{6} - 256326864 \, x^{5} + 134645168 \, x^{4} + 78464672 \, x^{3} - 78514944 \, x^{2} + \sqrt{3} {\left(2131 \, x^{16} - 3538 \, x^{15} - 310536 \, x^{14} + 915953 \, x^{13} + 9359398 \, x^{12} - 44560908 \, x^{11} + 48623494 \, x^{10} + 41002448 \, x^{9} - 146910132 \, x^{8} + 113204536 \, x^{7} + 69342776 \, x^{6} - 147990384 \, x^{5} + 77737424 \, x^{4} + 45301600 \, x^{3} - 45330624 \, x^{2} + 12242560 \, x + 7598336\right)} + 21204736 \, x + 13160704\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 4310784 \, x - 3273216\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 3 \, {\left(984 \, x^{15} - 30612 \, x^{14} + 164676 \, x^{13} - 205368 \, x^{12} - 289200 \, x^{11} + 183720 \, x^{10} + 886752 \, x^{9} - 71568 \, x^{8} - 1960992 \, x^{7} + 1849440 \, x^{6} + 1558464 \, x^{5} - 2478912 \, x^{4} + 66432 \, x^{3} + 750336 \, x^{2} + 4 \, \sqrt{3} {\left(142 \, x^{15} - 4419 \, x^{14} + 23781 \, x^{13} - 29608 \, x^{12} - 41940 \, x^{11} + 26454 \, x^{10} + 128152 \, x^{9} - 10692 \, x^{8} - 283320 \, x^{7} + 267064 \, x^{6} + 224784 \, x^{5} - 357936 \, x^{4} + 9632 \, x^{3} + 108288 \, x^{2} - 96000 \, x - 33920\right)} + {\left(4945 \, x^{15} - 88617 \, x^{14} + 738528 \, x^{13} - 1860046 \, x^{12} - 784596 \, x^{11} + 7668708 \, x^{10} - 6570680 \, x^{9} - 6903864 \, x^{8} + 15444144 \, x^{7} - 4312832 \, x^{6} - 9559200 \, x^{5} + 9359808 \, x^{4} - 155968 \, x^{3} - 3016704 \, x^{2} + \sqrt{3} {\left(2855 \, x^{15} - 51163 \, x^{14} + 426388 \, x^{13} - 1073898 \, x^{12} - 452980 \, x^{11} + 4427548 \, x^{10} - 3793592 \, x^{9} - 3985944 \, x^{8} + 8916720 \, x^{7} - 2490016 \, x^{6} - 5519008 \, x^{5} + 5403904 \, x^{4} - 90048 \, x^{3} - 1741696 \, x^{2} + 1543936 \, x + 545536\right)} + 2674176 \, x + 944896\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 665088 \, x - 235008\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} \sqrt{-2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} \sqrt{-56 \, \sqrt{3} + 97} + 36 \, {\left(144 \, x^{17} - 5976 \, x^{16} + 5544 \, x^{15} + 299664 \, x^{14} - 1062360 \, x^{13} + 116712 \, x^{12} + 3600000 \, x^{11} - 4761216 \, x^{10} - 1046592 \, x^{9} + 8676864 \, x^{8} - 6592896 \, x^{7} - 2641536 \, x^{6} + 7016832 \, x^{5} - 3699072 \, x^{4} - 1861632 \, x^{3} + 1640448 \, x^{2} + 12 \, \sqrt{3} {\left(7 \, x^{17} - 286 \, x^{16} + 238 \, x^{15} + 14255 \, x^{14} - 50390 \, x^{13} + 5942 \, x^{12} + 171808 \, x^{11} - 226888 \, x^{10} - 48920 \, x^{9} + 415384 \, x^{8} - 315088 \, x^{7} - 125600 \, x^{6} + 336608 \, x^{5} - 177344 \, x^{4} - 89152 \, x^{3} + 78784 \, x^{2} - 39040 \, x - 18176\right)} - {\left(1164 \, x^{17} - 6276 \, x^{16} - 26052 \, x^{15} + 332844 \, x^{14} - 1632156 \, x^{13} + 4149132 \, x^{12} - 5805024 \, x^{11} + 318696 \, x^{10} + 12621072 \, x^{9} - 19878720 \, x^{8} + 9619008 \, x^{7} + 13361088 \, x^{6} - 20168256 \, x^{5} + 10936128 \, x^{4} + 6434304 \, x^{3} - 6426240 \, x^{2} + 24 \, \sqrt{3} {\left(28 \, x^{17} - 151 \, x^{16} - 626 \, x^{15} + 8006 \, x^{14} - 39266 \, x^{13} + 99812 \, x^{12} - 139652 \, x^{11} + 7661 \, x^{10} + 303610 \, x^{9} - 478214 \, x^{8} + 231392 \, x^{7} + 321412 \, x^{6} - 485176 \, x^{5} + 263080 \, x^{4} + 154784 \, x^{3} - 154592 \, x^{2} + 78464 \, x + 36544\right)} + {\left(2340 \, x^{17} - 96354 \, x^{16} + 84798 \, x^{15} + 4817124 \, x^{14} - 17052930 \, x^{13} + 1941678 \, x^{12} + 57963744 \, x^{11} - 76603680 \, x^{10} - 16678512 \, x^{9} + 139922496 \, x^{8} - 106227360 \, x^{7} - 42453216 \, x^{6} + 113269536 \, x^{5} - 59694624 \, x^{4} - 30025728 \, x^{3} + 26496000 \, x^{2} + \sqrt{3} {\left(1351 \, x^{17} - 55630 \, x^{16} + 48958 \, x^{15} + 2781167 \, x^{14} - 9845510 \, x^{13} + 1121030 \, x^{12} + 33465376 \, x^{11} - 44227144 \, x^{10} - 9629336 \, x^{9} + 80784280 \, x^{8} - 61330384 \, x^{7} - 24510368 \, x^{6} + 65396192 \, x^{5} - 34464704 \, x^{4} - 17335360 \, x^{3} + 15297472 \, x^{2} - 7571584 \, x - 3526400\right)} - 13114368 \, x - 6107904\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 3261696 \, x + 1519104\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 12 \, {\left(97 \, x^{17} - 523 \, x^{16} - 2171 \, x^{15} + 27737 \, x^{14} - 136013 \, x^{13} + 345761 \, x^{12} - 483752 \, x^{11} + 26558 \, x^{10} + 1051756 \, x^{9} - 1656560 \, x^{8} + 801584 \, x^{7} + 1113424 \, x^{6} - 1680688 \, x^{5} + 911344 \, x^{4} + 536192 \, x^{3} - 535520 \, x^{2} + 2 \, \sqrt{3} {\left(28 \, x^{17} - 151 \, x^{16} - 626 \, x^{15} + 8006 \, x^{14} - 39266 \, x^{13} + 99812 \, x^{12} - 139652 \, x^{11} + 7661 \, x^{10} + 303610 \, x^{9} - 478214 \, x^{8} + 231392 \, x^{7} + 321412 \, x^{6} - 485176 \, x^{5} + 263080 \, x^{4} + 154784 \, x^{3} - 154592 \, x^{2} + 78464 \, x + 36544\right)} + 271808 \, x + 126592\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 811008 \, x - 377856\right)} \sqrt{-56 \, \sqrt{3} + 97} - {\left(\sqrt{x^{3} + 1} {\left({\left(459 \, x^{16} - 1557 \, x^{15} - 26415 \, x^{14} - 1449954 \, x^{13} + 4677912 \, x^{12} + 12651948 \, x^{11} - 55684800 \, x^{10} + 62834256 \, x^{9} + 8526168 \, x^{8} - 105313392 \, x^{7} + 99605088 \, x^{6} - 18897984 \, x^{5} - 42499296 \, x^{4} + 37357632 \, x^{3} - 8256960 \, x^{2} + \sqrt{3} {\left(265 \, x^{16} - 899 \, x^{15} - 15249 \, x^{14} - 837130 \, x^{13} + 2700776 \, x^{12} + 7304604 \, x^{11} - 32149640 \, x^{10} + 36277360 \, x^{9} + 4922568 \, x^{8} - 60802736 \, x^{7} + 57507040 \, x^{6} - 10910784 \, x^{5} - 24536992 \, x^{4} + 21568448 \, x^{3} - 4767168 \, x^{2} + 1207168 \, x + 1383424\right)} + {\left(3691 \, x^{16} + 17731 \, x^{15} - 951114 \, x^{14} + 450359 \, x^{13} + 4370159 \, x^{12} + 30318522 \, x^{11} - 78096668 \, x^{10} + 9429316 \, x^{9} + 146877876 \, x^{8} - 197107784 \, x^{7} - 30834152 \, x^{6} + 185125776 \, x^{5} - 132260896 \, x^{4} - 45545344 \, x^{3} + 69517536 \, x^{2} + \sqrt{3} {\left(2131 \, x^{16} + 10237 \, x^{15} - 549126 \, x^{14} + 260015 \, x^{13} + 2523113 \, x^{12} + 17504406 \, x^{11} - 45089132 \, x^{10} + 5444020 \, x^{9} + 84799980 \, x^{8} - 113800232 \, x^{7} - 17802104 \, x^{6} + 106882416 \, x^{5} - 76360864 \, x^{4} - 26295616 \, x^{3} + 40135968 \, x^{2} - 7907648 \, x - 5562368\right)} - 13696448 \, x - 9634304\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 2090880 \, x + 2396160\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 3 \, {\left(984 \, x^{15} - 14712 \, x^{14} - 53940 \, x^{13} + 411732 \, x^{12} - 280248 \, x^{11} - 324624 \, x^{10} + 180816 \, x^{9} - 518544 \, x^{8} + 974304 \, x^{7} - 887136 \, x^{6} - 1404096 \, x^{5} + 1843584 \, x^{4} + 135936 \, x^{3} - 696192 \, x^{2} + 4 \, \sqrt{3} {\left(142 \, x^{15} - 2124 \, x^{14} - 7773 \, x^{13} + 59447 \, x^{12} - 40626 \, x^{11} - 46860 \, x^{10} + 26308 \, x^{9} - 75276 \, x^{8} + 140472 \, x^{7} - 127784 \, x^{6} - 202896 \, x^{5} + 266016 \, x^{4} + 19712 \, x^{3} - 100512 \, x^{2} + 62400 \, x + 24832\right)} + {\left(4945 \, x^{15} - 37473 \, x^{14} - 490698 \, x^{13} + 2249468 \, x^{12} + 474132 \, x^{11} - 8423784 \, x^{10} + 5853520 \, x^{9} + 8451720 \, x^{8} - 15320016 \, x^{7} + 768064 \, x^{6} + 10405056 \, x^{5} - 6627744 \, x^{4} - 700480 \, x^{3} + 2799552 \, x^{2} + \sqrt{3} {\left(2855 \, x^{15} - 21635 \, x^{14} - 283306 \, x^{13} + 1298732 \, x^{12} + 273748 \, x^{11} - 4863472 \, x^{10} + 3379536 \, x^{9} + 4879608 \, x^{8} - 8845008 \, x^{7} + 443456 \, x^{6} + 6007360 \, x^{5} - 3826528 \, x^{4} - 404416 \, x^{3} + 1616320 \, x^{2} - 1003648 \, x - 399360\right)} - 1738368 \, x - 691712\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 432384 \, x + 172032\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} \sqrt{-2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} \sqrt{-56 \, \sqrt{3} + 97} - 6 \, {\left(4680 \, x^{16} - 60552 \, x^{15} + 89856 \, x^{14} + 278280 \, x^{13} + 64440 \, x^{12} - 1285200 \, x^{11} - 255600 \, x^{10} + 3098880 \, x^{9} - 1770336 \, x^{8} - 3614400 \, x^{7} + 3895488 \, x^{6} + 1199232 \, x^{5} - 2905344 \, x^{4} + 681984 \, x^{3} + 649728 \, x^{2} + 108 \, \sqrt{3} {\left(25 \, x^{16} - 324 \, x^{15} + 489 \, x^{14} + 1482 \, x^{13} + 316 \, x^{12} - 6984 \, x^{11} - 1312 \, x^{10} + 16624 \, x^{9} - 9792 \, x^{8} - 19328 \, x^{7} + 20976 \, x^{6} + 6240 \, x^{5} - 15552 \, x^{4} + 3712 \, x^{3} + 3456 \, x^{2} - 4096 \, x - 1280\right)} + {\left(1164 \, x^{17} + 1248 \, x^{16} - 246120 \, x^{15} + 518172 \, x^{14} + 2607528 \, x^{13} - 8301144 \, x^{12} + 7017600 \, x^{11} + 6258120 \, x^{10} - 21360336 \, x^{9} + 16998960 \, x^{8} + 966336 \, x^{7} - 18216672 \, x^{6} + 15860544 \, x^{5} - 4720704 \, x^{4} - 6023424 \, x^{3} + 5362176 \, x^{2} + 48 \, \sqrt{3} {\left(14 \, x^{17} + 15 \, x^{16} - 2960 \, x^{15} + 6232 \, x^{14} + 31362 \, x^{13} - 99844 \, x^{12} + 84404 \, x^{11} + 75267 \, x^{10} - 256916 \, x^{9} + 204458 \, x^{8} + 11616 \, x^{7} - 219104 \, x^{6} + 190768 \, x^{5} - 56784 \, x^{4} - 72448 \, x^{3} + 64496 \, x^{2} - 24480 \, x - 13376\right)} + {\left(2340 \, x^{17} - 35850 \, x^{16} - 106410 \, x^{15} - 2064744 \, x^{14} + 11945946 \, x^{13} - 1710042 \, x^{12} - 46293732 \, x^{11} + 59161524 \, x^{10} + 18480192 \, x^{9} - 122366520 \, x^{8} + 81203856 \, x^{7} + 45222000 \, x^{6} - 100598112 \, x^{5} + 42207168 \, x^{4} + 29609472 \, x^{3} - 22458240 \, x^{2} + \sqrt{3} {\left(1351 \, x^{17} - 20698 \, x^{16} - 61436 \, x^{15} - 1192081 \, x^{14} + 6896998 \, x^{13} - 987292 \, x^{12} - 26727704 \, x^{11} + 34156928 \, x^{10} + 10669552 \, x^{9} - 70648352 \, x^{8} + 46883072 \, x^{7} + 26108944 \, x^{6} - 58080352 \, x^{5} + 24368320 \, x^{4} + 17095040 \, x^{3} - 12966272 \, x^{2} + 4724480 \, x + 2581504\right)} + 8183040 \, x + 4471296\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 2035200 \, x - 1112064\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24 \, {\left(627 \, x^{16} - 14286 \, x^{15} + 39762 \, x^{14} + 50142 \, x^{13} - 216816 \, x^{12} + 112284 \, x^{11} + 325707 \, x^{10} - 586326 \, x^{9} - 3294 \, x^{8} + 631752 \, x^{7} - 539220 \, x^{6} - 184392 \, x^{5} + 483816 \, x^{4} - 115296 \, x^{3} - 108576 \, x^{2} + 2 \, \sqrt{3} {\left(181 \, x^{16} - 4124 \, x^{15} + 11478 \, x^{14} + 14474 \, x^{13} - 62584 \, x^{12} + 32412 \, x^{11} + 94021 \, x^{10} - 169244 \, x^{9} - 954 \, x^{8} + 182368 \, x^{7} - 155648 \, x^{6} - 53232 \, x^{5} + 139664 \, x^{4} - 33280 \, x^{3} - 31344 \, x^{2} + 37024 \, x + 11584\right)} + 128256 \, x + 40128\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 764928 \, x - 239616\right)} \sqrt{-56 \, \sqrt{3} + 97}\right)} \sqrt{\frac{36 \, x^{8} + 72 \, x^{7} + 1656 \, x^{6} + 720 \, x^{5} + 1440 \, x^{4} + 2016 \, x^{3} + {\left(60 \, x^{6} + 324 \, x^{5} + 576 \, x^{4} + 696 \, x^{3} + 432 \, x^{2} + 36 \, \sqrt{3} {\left(x^{6} + 5 \, x^{5} + 10 \, x^{4} + 10 \, x^{3} + 8 \, x^{2} + 4 \, x\right)} + {\left(123 \, x^{6} + 2016 \, x^{5} + 2214 \, x^{4} + 2064 \, x^{3} + 396 \, x^{2} + \sqrt{3} {\left(71 \, x^{6} + 1164 \, x^{5} + 1278 \, x^{4} + 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 144 \, x + 96\right)} \sqrt{x^{3} + 1} \sqrt{-2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} - 288 \, x^{2} + 144 \, \sqrt{3} {\left(x^{7} + 4 \, x^{6} + 6 \, x^{5} + 5 \, x^{4} - 4 \, x^{3} + 6 \, x^{2} + 4 \, x - 8\right)} + 72 \, {\left(26 \, x^{7} + 38 \, x^{6} + 42 \, x^{5} + 46 \, x^{4} + 46 \, x^{3} + 42 \, x^{2} + \sqrt{3} {\left(15 \, x^{7} + 22 \, x^{6} + 24 \, x^{5} + 27 \, x^{4} + 26 \, x^{3} + 24 \, x^{2} + 12 \, x + 4\right)} + 20 \, x + 8\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 576 \, x + 2304}{x^{8} - 4 \, x^{7} + 16 \, x^{6} - 16 \, x^{5} + 28 \, x^{4} + 32 \, x^{3} + 64 \, x^{2} + 32 \, x + 16}}}{1296 \, {\left(x^{17} + 13 \, x^{16} - 522 \, x^{15} + 1742 \, x^{14} + 3008 \, x^{13} - 16884 \, x^{12} + 11656 \, x^{11} + 23944 \, x^{10} - 42336 \, x^{9} + 9136 \, x^{8} + 36256 \, x^{7} - 27360 \, x^{6} - 256 \, x^{5} + 13376 \, x^{4} - 5760 \, x^{3} - 1664 \, x^{2} + 256 \, x\right)}}\right) - \frac{1}{432} \, \sqrt{-2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(56 \, \sqrt{3} + 97\right)} \sqrt{-56 \, \sqrt{3} + 97} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} \arctan\left(-\frac{6 \, \sqrt{x^{3} + 1} {\left({\left(459 \, x^{16} - 13425 \, x^{15} - 33201 \, x^{14} + 950652 \, x^{13} - 997302 \, x^{12} - 14760972 \, x^{11} + 47069892 \, x^{10} - 49762248 \, x^{9} - 8212536 \, x^{8} + 84377808 \, x^{7} - 88427328 \, x^{6} + 25613856 \, x^{5} + 27458496 \, x^{4} - 36433344 \, x^{3} + 12609792 \, x^{2} + \sqrt{3} {\left(265 \, x^{16} - 7751 \, x^{15} - 19167 \, x^{14} + 548864 \, x^{13} - 575818 \, x^{12} - 8522268 \, x^{11} + 27175852 \, x^{10} - 28730312 \, x^{9} - 4741560 \, x^{8} + 48715600 \, x^{7} - 51053600 \, x^{6} + 14788128 \, x^{5} + 15853184 \, x^{4} - 21034816 \, x^{3} + 7280256 \, x^{2} - 2488832 \, x - 1889792\right)} + {\left(3691 \, x^{16} - 6128 \, x^{15} - 537864 \, x^{14} + 1586477 \, x^{13} + 16210952 \, x^{12} - 77181756 \, x^{11} + 84218362 \, x^{10} + 71018320 \, x^{9} - 254455812 \, x^{8} + 196076008 \, x^{7} + 120105208 \, x^{6} - 256326864 \, x^{5} + 134645168 \, x^{4} + 78464672 \, x^{3} - 78514944 \, x^{2} + \sqrt{3} {\left(2131 \, x^{16} - 3538 \, x^{15} - 310536 \, x^{14} + 915953 \, x^{13} + 9359398 \, x^{12} - 44560908 \, x^{11} + 48623494 \, x^{10} + 41002448 \, x^{9} - 146910132 \, x^{8} + 113204536 \, x^{7} + 69342776 \, x^{6} - 147990384 \, x^{5} + 77737424 \, x^{4} + 45301600 \, x^{3} - 45330624 \, x^{2} + 12242560 \, x + 7598336\right)} + 21204736 \, x + 13160704\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 4310784 \, x - 3273216\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 3 \, {\left(984 \, x^{15} - 30612 \, x^{14} + 164676 \, x^{13} - 205368 \, x^{12} - 289200 \, x^{11} + 183720 \, x^{10} + 886752 \, x^{9} - 71568 \, x^{8} - 1960992 \, x^{7} + 1849440 \, x^{6} + 1558464 \, x^{5} - 2478912 \, x^{4} + 66432 \, x^{3} + 750336 \, x^{2} + 4 \, \sqrt{3} {\left(142 \, x^{15} - 4419 \, x^{14} + 23781 \, x^{13} - 29608 \, x^{12} - 41940 \, x^{11} + 26454 \, x^{10} + 128152 \, x^{9} - 10692 \, x^{8} - 283320 \, x^{7} + 267064 \, x^{6} + 224784 \, x^{5} - 357936 \, x^{4} + 9632 \, x^{3} + 108288 \, x^{2} - 96000 \, x - 33920\right)} + {\left(4945 \, x^{15} - 88617 \, x^{14} + 738528 \, x^{13} - 1860046 \, x^{12} - 784596 \, x^{11} + 7668708 \, x^{10} - 6570680 \, x^{9} - 6903864 \, x^{8} + 15444144 \, x^{7} - 4312832 \, x^{6} - 9559200 \, x^{5} + 9359808 \, x^{4} - 155968 \, x^{3} - 3016704 \, x^{2} + \sqrt{3} {\left(2855 \, x^{15} - 51163 \, x^{14} + 426388 \, x^{13} - 1073898 \, x^{12} - 452980 \, x^{11} + 4427548 \, x^{10} - 3793592 \, x^{9} - 3985944 \, x^{8} + 8916720 \, x^{7} - 2490016 \, x^{6} - 5519008 \, x^{5} + 5403904 \, x^{4} - 90048 \, x^{3} - 1741696 \, x^{2} + 1543936 \, x + 545536\right)} + 2674176 \, x + 944896\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 665088 \, x - 235008\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} \sqrt{-2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} \sqrt{-56 \, \sqrt{3} + 97} - 36 \, {\left(144 \, x^{17} - 5976 \, x^{16} + 5544 \, x^{15} + 299664 \, x^{14} - 1062360 \, x^{13} + 116712 \, x^{12} + 3600000 \, x^{11} - 4761216 \, x^{10} - 1046592 \, x^{9} + 8676864 \, x^{8} - 6592896 \, x^{7} - 2641536 \, x^{6} + 7016832 \, x^{5} - 3699072 \, x^{4} - 1861632 \, x^{3} + 1640448 \, x^{2} + 12 \, \sqrt{3} {\left(7 \, x^{17} - 286 \, x^{16} + 238 \, x^{15} + 14255 \, x^{14} - 50390 \, x^{13} + 5942 \, x^{12} + 171808 \, x^{11} - 226888 \, x^{10} - 48920 \, x^{9} + 415384 \, x^{8} - 315088 \, x^{7} - 125600 \, x^{6} + 336608 \, x^{5} - 177344 \, x^{4} - 89152 \, x^{3} + 78784 \, x^{2} - 39040 \, x - 18176\right)} - {\left(1164 \, x^{17} - 6276 \, x^{16} - 26052 \, x^{15} + 332844 \, x^{14} - 1632156 \, x^{13} + 4149132 \, x^{12} - 5805024 \, x^{11} + 318696 \, x^{10} + 12621072 \, x^{9} - 19878720 \, x^{8} + 9619008 \, x^{7} + 13361088 \, x^{6} - 20168256 \, x^{5} + 10936128 \, x^{4} + 6434304 \, x^{3} - 6426240 \, x^{2} + 24 \, \sqrt{3} {\left(28 \, x^{17} - 151 \, x^{16} - 626 \, x^{15} + 8006 \, x^{14} - 39266 \, x^{13} + 99812 \, x^{12} - 139652 \, x^{11} + 7661 \, x^{10} + 303610 \, x^{9} - 478214 \, x^{8} + 231392 \, x^{7} + 321412 \, x^{6} - 485176 \, x^{5} + 263080 \, x^{4} + 154784 \, x^{3} - 154592 \, x^{2} + 78464 \, x + 36544\right)} + {\left(2340 \, x^{17} - 96354 \, x^{16} + 84798 \, x^{15} + 4817124 \, x^{14} - 17052930 \, x^{13} + 1941678 \, x^{12} + 57963744 \, x^{11} - 76603680 \, x^{10} - 16678512 \, x^{9} + 139922496 \, x^{8} - 106227360 \, x^{7} - 42453216 \, x^{6} + 113269536 \, x^{5} - 59694624 \, x^{4} - 30025728 \, x^{3} + 26496000 \, x^{2} + \sqrt{3} {\left(1351 \, x^{17} - 55630 \, x^{16} + 48958 \, x^{15} + 2781167 \, x^{14} - 9845510 \, x^{13} + 1121030 \, x^{12} + 33465376 \, x^{11} - 44227144 \, x^{10} - 9629336 \, x^{9} + 80784280 \, x^{8} - 61330384 \, x^{7} - 24510368 \, x^{6} + 65396192 \, x^{5} - 34464704 \, x^{4} - 17335360 \, x^{3} + 15297472 \, x^{2} - 7571584 \, x - 3526400\right)} - 13114368 \, x - 6107904\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 3261696 \, x + 1519104\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 12 \, {\left(97 \, x^{17} - 523 \, x^{16} - 2171 \, x^{15} + 27737 \, x^{14} - 136013 \, x^{13} + 345761 \, x^{12} - 483752 \, x^{11} + 26558 \, x^{10} + 1051756 \, x^{9} - 1656560 \, x^{8} + 801584 \, x^{7} + 1113424 \, x^{6} - 1680688 \, x^{5} + 911344 \, x^{4} + 536192 \, x^{3} - 535520 \, x^{2} + 2 \, \sqrt{3} {\left(28 \, x^{17} - 151 \, x^{16} - 626 \, x^{15} + 8006 \, x^{14} - 39266 \, x^{13} + 99812 \, x^{12} - 139652 \, x^{11} + 7661 \, x^{10} + 303610 \, x^{9} - 478214 \, x^{8} + 231392 \, x^{7} + 321412 \, x^{6} - 485176 \, x^{5} + 263080 \, x^{4} + 154784 \, x^{3} - 154592 \, x^{2} + 78464 \, x + 36544\right)} + 271808 \, x + 126592\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 811008 \, x - 377856\right)} \sqrt{-56 \, \sqrt{3} + 97} - {\left(\sqrt{x^{3} + 1} {\left({\left(459 \, x^{16} - 1557 \, x^{15} - 26415 \, x^{14} - 1449954 \, x^{13} + 4677912 \, x^{12} + 12651948 \, x^{11} - 55684800 \, x^{10} + 62834256 \, x^{9} + 8526168 \, x^{8} - 105313392 \, x^{7} + 99605088 \, x^{6} - 18897984 \, x^{5} - 42499296 \, x^{4} + 37357632 \, x^{3} - 8256960 \, x^{2} + \sqrt{3} {\left(265 \, x^{16} - 899 \, x^{15} - 15249 \, x^{14} - 837130 \, x^{13} + 2700776 \, x^{12} + 7304604 \, x^{11} - 32149640 \, x^{10} + 36277360 \, x^{9} + 4922568 \, x^{8} - 60802736 \, x^{7} + 57507040 \, x^{6} - 10910784 \, x^{5} - 24536992 \, x^{4} + 21568448 \, x^{3} - 4767168 \, x^{2} + 1207168 \, x + 1383424\right)} + {\left(3691 \, x^{16} + 17731 \, x^{15} - 951114 \, x^{14} + 450359 \, x^{13} + 4370159 \, x^{12} + 30318522 \, x^{11} - 78096668 \, x^{10} + 9429316 \, x^{9} + 146877876 \, x^{8} - 197107784 \, x^{7} - 30834152 \, x^{6} + 185125776 \, x^{5} - 132260896 \, x^{4} - 45545344 \, x^{3} + 69517536 \, x^{2} + \sqrt{3} {\left(2131 \, x^{16} + 10237 \, x^{15} - 549126 \, x^{14} + 260015 \, x^{13} + 2523113 \, x^{12} + 17504406 \, x^{11} - 45089132 \, x^{10} + 5444020 \, x^{9} + 84799980 \, x^{8} - 113800232 \, x^{7} - 17802104 \, x^{6} + 106882416 \, x^{5} - 76360864 \, x^{4} - 26295616 \, x^{3} + 40135968 \, x^{2} - 7907648 \, x - 5562368\right)} - 13696448 \, x - 9634304\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 2090880 \, x + 2396160\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 3 \, {\left(984 \, x^{15} - 14712 \, x^{14} - 53940 \, x^{13} + 411732 \, x^{12} - 280248 \, x^{11} - 324624 \, x^{10} + 180816 \, x^{9} - 518544 \, x^{8} + 974304 \, x^{7} - 887136 \, x^{6} - 1404096 \, x^{5} + 1843584 \, x^{4} + 135936 \, x^{3} - 696192 \, x^{2} + 4 \, \sqrt{3} {\left(142 \, x^{15} - 2124 \, x^{14} - 7773 \, x^{13} + 59447 \, x^{12} - 40626 \, x^{11} - 46860 \, x^{10} + 26308 \, x^{9} - 75276 \, x^{8} + 140472 \, x^{7} - 127784 \, x^{6} - 202896 \, x^{5} + 266016 \, x^{4} + 19712 \, x^{3} - 100512 \, x^{2} + 62400 \, x + 24832\right)} + {\left(4945 \, x^{15} - 37473 \, x^{14} - 490698 \, x^{13} + 2249468 \, x^{12} + 474132 \, x^{11} - 8423784 \, x^{10} + 5853520 \, x^{9} + 8451720 \, x^{8} - 15320016 \, x^{7} + 768064 \, x^{6} + 10405056 \, x^{5} - 6627744 \, x^{4} - 700480 \, x^{3} + 2799552 \, x^{2} + \sqrt{3} {\left(2855 \, x^{15} - 21635 \, x^{14} - 283306 \, x^{13} + 1298732 \, x^{12} + 273748 \, x^{11} - 4863472 \, x^{10} + 3379536 \, x^{9} + 4879608 \, x^{8} - 8845008 \, x^{7} + 443456 \, x^{6} + 6007360 \, x^{5} - 3826528 \, x^{4} - 404416 \, x^{3} + 1616320 \, x^{2} - 1003648 \, x - 399360\right)} - 1738368 \, x - 691712\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 432384 \, x + 172032\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} \sqrt{-2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} \sqrt{-56 \, \sqrt{3} + 97} + 6 \, {\left(4680 \, x^{16} - 60552 \, x^{15} + 89856 \, x^{14} + 278280 \, x^{13} + 64440 \, x^{12} - 1285200 \, x^{11} - 255600 \, x^{10} + 3098880 \, x^{9} - 1770336 \, x^{8} - 3614400 \, x^{7} + 3895488 \, x^{6} + 1199232 \, x^{5} - 2905344 \, x^{4} + 681984 \, x^{3} + 649728 \, x^{2} + 108 \, \sqrt{3} {\left(25 \, x^{16} - 324 \, x^{15} + 489 \, x^{14} + 1482 \, x^{13} + 316 \, x^{12} - 6984 \, x^{11} - 1312 \, x^{10} + 16624 \, x^{9} - 9792 \, x^{8} - 19328 \, x^{7} + 20976 \, x^{6} + 6240 \, x^{5} - 15552 \, x^{4} + 3712 \, x^{3} + 3456 \, x^{2} - 4096 \, x - 1280\right)} + {\left(1164 \, x^{17} + 1248 \, x^{16} - 246120 \, x^{15} + 518172 \, x^{14} + 2607528 \, x^{13} - 8301144 \, x^{12} + 7017600 \, x^{11} + 6258120 \, x^{10} - 21360336 \, x^{9} + 16998960 \, x^{8} + 966336 \, x^{7} - 18216672 \, x^{6} + 15860544 \, x^{5} - 4720704 \, x^{4} - 6023424 \, x^{3} + 5362176 \, x^{2} + 48 \, \sqrt{3} {\left(14 \, x^{17} + 15 \, x^{16} - 2960 \, x^{15} + 6232 \, x^{14} + 31362 \, x^{13} - 99844 \, x^{12} + 84404 \, x^{11} + 75267 \, x^{10} - 256916 \, x^{9} + 204458 \, x^{8} + 11616 \, x^{7} - 219104 \, x^{6} + 190768 \, x^{5} - 56784 \, x^{4} - 72448 \, x^{3} + 64496 \, x^{2} - 24480 \, x - 13376\right)} + {\left(2340 \, x^{17} - 35850 \, x^{16} - 106410 \, x^{15} - 2064744 \, x^{14} + 11945946 \, x^{13} - 1710042 \, x^{12} - 46293732 \, x^{11} + 59161524 \, x^{10} + 18480192 \, x^{9} - 122366520 \, x^{8} + 81203856 \, x^{7} + 45222000 \, x^{6} - 100598112 \, x^{5} + 42207168 \, x^{4} + 29609472 \, x^{3} - 22458240 \, x^{2} + \sqrt{3} {\left(1351 \, x^{17} - 20698 \, x^{16} - 61436 \, x^{15} - 1192081 \, x^{14} + 6896998 \, x^{13} - 987292 \, x^{12} - 26727704 \, x^{11} + 34156928 \, x^{10} + 10669552 \, x^{9} - 70648352 \, x^{8} + 46883072 \, x^{7} + 26108944 \, x^{6} - 58080352 \, x^{5} + 24368320 \, x^{4} + 17095040 \, x^{3} - 12966272 \, x^{2} + 4724480 \, x + 2581504\right)} + 8183040 \, x + 4471296\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 2035200 \, x - 1112064\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24 \, {\left(627 \, x^{16} - 14286 \, x^{15} + 39762 \, x^{14} + 50142 \, x^{13} - 216816 \, x^{12} + 112284 \, x^{11} + 325707 \, x^{10} - 586326 \, x^{9} - 3294 \, x^{8} + 631752 \, x^{7} - 539220 \, x^{6} - 184392 \, x^{5} + 483816 \, x^{4} - 115296 \, x^{3} - 108576 \, x^{2} + 2 \, \sqrt{3} {\left(181 \, x^{16} - 4124 \, x^{15} + 11478 \, x^{14} + 14474 \, x^{13} - 62584 \, x^{12} + 32412 \, x^{11} + 94021 \, x^{10} - 169244 \, x^{9} - 954 \, x^{8} + 182368 \, x^{7} - 155648 \, x^{6} - 53232 \, x^{5} + 139664 \, x^{4} - 33280 \, x^{3} - 31344 \, x^{2} + 37024 \, x + 11584\right)} + 128256 \, x + 40128\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 764928 \, x - 239616\right)} \sqrt{-56 \, \sqrt{3} + 97}\right)} \sqrt{\frac{36 \, x^{8} + 72 \, x^{7} + 1656 \, x^{6} + 720 \, x^{5} + 1440 \, x^{4} + 2016 \, x^{3} - {\left(60 \, x^{6} + 324 \, x^{5} + 576 \, x^{4} + 696 \, x^{3} + 432 \, x^{2} + 36 \, \sqrt{3} {\left(x^{6} + 5 \, x^{5} + 10 \, x^{4} + 10 \, x^{3} + 8 \, x^{2} + 4 \, x\right)} + {\left(123 \, x^{6} + 2016 \, x^{5} + 2214 \, x^{4} + 2064 \, x^{3} + 396 \, x^{2} + \sqrt{3} {\left(71 \, x^{6} + 1164 \, x^{5} + 1278 \, x^{4} + 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 144 \, x + 96\right)} \sqrt{x^{3} + 1} \sqrt{-2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} - 288 \, x^{2} + 144 \, \sqrt{3} {\left(x^{7} + 4 \, x^{6} + 6 \, x^{5} + 5 \, x^{4} - 4 \, x^{3} + 6 \, x^{2} + 4 \, x - 8\right)} + 72 \, {\left(26 \, x^{7} + 38 \, x^{6} + 42 \, x^{5} + 46 \, x^{4} + 46 \, x^{3} + 42 \, x^{2} + \sqrt{3} {\left(15 \, x^{7} + 22 \, x^{6} + 24 \, x^{5} + 27 \, x^{4} + 26 \, x^{3} + 24 \, x^{2} + 12 \, x + 4\right)} + 20 \, x + 8\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 576 \, x + 2304}{x^{8} - 4 \, x^{7} + 16 \, x^{6} - 16 \, x^{5} + 28 \, x^{4} + 32 \, x^{3} + 64 \, x^{2} + 32 \, x + 16}}}{1296 \, {\left(x^{17} + 13 \, x^{16} - 522 \, x^{15} + 1742 \, x^{14} + 3008 \, x^{13} - 16884 \, x^{12} + 11656 \, x^{11} + 23944 \, x^{10} - 42336 \, x^{9} + 9136 \, x^{8} + 36256 \, x^{7} - 27360 \, x^{6} - 256 \, x^{5} + 13376 \, x^{4} - 5760 \, x^{3} - 1664 \, x^{2} + 256 \, x\right)}}\right) + \frac{1}{5184} \, {\left({\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 12\right)} \sqrt{-2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} \log\left(\frac{36 \, x^{8} + 72 \, x^{7} + 1656 \, x^{6} + 720 \, x^{5} + 1440 \, x^{4} + 2016 \, x^{3} + {\left(60 \, x^{6} + 324 \, x^{5} + 576 \, x^{4} + 696 \, x^{3} + 432 \, x^{2} + 36 \, \sqrt{3} {\left(x^{6} + 5 \, x^{5} + 10 \, x^{4} + 10 \, x^{3} + 8 \, x^{2} + 4 \, x\right)} + {\left(123 \, x^{6} + 2016 \, x^{5} + 2214 \, x^{4} + 2064 \, x^{3} + 396 \, x^{2} + \sqrt{3} {\left(71 \, x^{6} + 1164 \, x^{5} + 1278 \, x^{4} + 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 144 \, x + 96\right)} \sqrt{x^{3} + 1} \sqrt{-2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} - 288 \, x^{2} + 144 \, \sqrt{3} {\left(x^{7} + 4 \, x^{6} + 6 \, x^{5} + 5 \, x^{4} - 4 \, x^{3} + 6 \, x^{2} + 4 \, x - 8\right)} + 72 \, {\left(26 \, x^{7} + 38 \, x^{6} + 42 \, x^{5} + 46 \, x^{4} + 46 \, x^{3} + 42 \, x^{2} + \sqrt{3} {\left(15 \, x^{7} + 22 \, x^{6} + 24 \, x^{5} + 27 \, x^{4} + 26 \, x^{3} + 24 \, x^{2} + 12 \, x + 4\right)} + 20 \, x + 8\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 576 \, x + 2304}{36 \, {\left(x^{8} - 4 \, x^{7} + 16 \, x^{6} - 16 \, x^{5} + 28 \, x^{4} + 32 \, x^{3} + 64 \, x^{2} + 32 \, x + 16\right)}}\right) - \frac{1}{5184} \, {\left({\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 12\right)} \sqrt{-2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} \log\left(\frac{36 \, x^{8} + 72 \, x^{7} + 1656 \, x^{6} + 720 \, x^{5} + 1440 \, x^{4} + 2016 \, x^{3} - {\left(60 \, x^{6} + 324 \, x^{5} + 576 \, x^{4} + 696 \, x^{3} + 432 \, x^{2} + 36 \, \sqrt{3} {\left(x^{6} + 5 \, x^{5} + 10 \, x^{4} + 10 \, x^{3} + 8 \, x^{2} + 4 \, x\right)} + {\left(123 \, x^{6} + 2016 \, x^{5} + 2214 \, x^{4} + 2064 \, x^{3} + 396 \, x^{2} + \sqrt{3} {\left(71 \, x^{6} + 1164 \, x^{5} + 1278 \, x^{4} + 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 144 \, x + 96\right)} \sqrt{x^{3} + 1} \sqrt{-2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} - 288 \, x^{2} + 144 \, \sqrt{3} {\left(x^{7} + 4 \, x^{6} + 6 \, x^{5} + 5 \, x^{4} - 4 \, x^{3} + 6 \, x^{2} + 4 \, x - 8\right)} + 72 \, {\left(26 \, x^{7} + 38 \, x^{6} + 42 \, x^{5} + 46 \, x^{4} + 46 \, x^{3} + 42 \, x^{2} + \sqrt{3} {\left(15 \, x^{7} + 22 \, x^{6} + 24 \, x^{5} + 27 \, x^{4} + 26 \, x^{3} + 24 \, x^{2} + 12 \, x + 4\right)} + 20 \, x + 8\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 576 \, x + 2304}{36 \, {\left(x^{8} - 4 \, x^{7} + 16 \, x^{6} - 16 \, x^{5} + 28 \, x^{4} + 32 \, x^{3} + 64 \, x^{2} + 32 \, x + 16\right)}}\right) + \frac{1}{36} \, \sqrt{14 \, \sqrt{3} - 24} \arctan\left(\frac{{\left(3 \, x^{2} + \sqrt{3} {\left(x^{2} - 10 \, x - 8\right)} - 18 \, x - 12\right)} \sqrt{14 \, \sqrt{3} - 24}}{12 \, \sqrt{x^{3} + 1}}\right)"," ",0,"-1/432*sqrt(-2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(56*sqrt(3) + 97)*sqrt(-56*sqrt(3) + 97)*(-672*sqrt(3) + 1164)^(3/4)*arctan(-1/1296*(6*sqrt(x^3 + 1)*((459*x^16 - 13425*x^15 - 33201*x^14 + 950652*x^13 - 997302*x^12 - 14760972*x^11 + 47069892*x^10 - 49762248*x^9 - 8212536*x^8 + 84377808*x^7 - 88427328*x^6 + 25613856*x^5 + 27458496*x^4 - 36433344*x^3 + 12609792*x^2 + sqrt(3)*(265*x^16 - 7751*x^15 - 19167*x^14 + 548864*x^13 - 575818*x^12 - 8522268*x^11 + 27175852*x^10 - 28730312*x^9 - 4741560*x^8 + 48715600*x^7 - 51053600*x^6 + 14788128*x^5 + 15853184*x^4 - 21034816*x^3 + 7280256*x^2 - 2488832*x - 1889792) + (3691*x^16 - 6128*x^15 - 537864*x^14 + 1586477*x^13 + 16210952*x^12 - 77181756*x^11 + 84218362*x^10 + 71018320*x^9 - 254455812*x^8 + 196076008*x^7 + 120105208*x^6 - 256326864*x^5 + 134645168*x^4 + 78464672*x^3 - 78514944*x^2 + sqrt(3)*(2131*x^16 - 3538*x^15 - 310536*x^14 + 915953*x^13 + 9359398*x^12 - 44560908*x^11 + 48623494*x^10 + 41002448*x^9 - 146910132*x^8 + 113204536*x^7 + 69342776*x^6 - 147990384*x^5 + 77737424*x^4 + 45301600*x^3 - 45330624*x^2 + 12242560*x + 7598336) + 21204736*x + 13160704)*sqrt(-672*sqrt(3) + 1164) - 4310784*x - 3273216)*(-672*sqrt(3) + 1164)^(3/4) + 3*(984*x^15 - 30612*x^14 + 164676*x^13 - 205368*x^12 - 289200*x^11 + 183720*x^10 + 886752*x^9 - 71568*x^8 - 1960992*x^7 + 1849440*x^6 + 1558464*x^5 - 2478912*x^4 + 66432*x^3 + 750336*x^2 + 4*sqrt(3)*(142*x^15 - 4419*x^14 + 23781*x^13 - 29608*x^12 - 41940*x^11 + 26454*x^10 + 128152*x^9 - 10692*x^8 - 283320*x^7 + 267064*x^6 + 224784*x^5 - 357936*x^4 + 9632*x^3 + 108288*x^2 - 96000*x - 33920) + (4945*x^15 - 88617*x^14 + 738528*x^13 - 1860046*x^12 - 784596*x^11 + 7668708*x^10 - 6570680*x^9 - 6903864*x^8 + 15444144*x^7 - 4312832*x^6 - 9559200*x^5 + 9359808*x^4 - 155968*x^3 - 3016704*x^2 + sqrt(3)*(2855*x^15 - 51163*x^14 + 426388*x^13 - 1073898*x^12 - 452980*x^11 + 4427548*x^10 - 3793592*x^9 - 3985944*x^8 + 8916720*x^7 - 2490016*x^6 - 5519008*x^5 + 5403904*x^4 - 90048*x^3 - 1741696*x^2 + 1543936*x + 545536) + 2674176*x + 944896)*sqrt(-672*sqrt(3) + 1164) - 665088*x - 235008)*(-672*sqrt(3) + 1164)^(1/4))*sqrt(-2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*sqrt(-56*sqrt(3) + 97) + 36*(144*x^17 - 5976*x^16 + 5544*x^15 + 299664*x^14 - 1062360*x^13 + 116712*x^12 + 3600000*x^11 - 4761216*x^10 - 1046592*x^9 + 8676864*x^8 - 6592896*x^7 - 2641536*x^6 + 7016832*x^5 - 3699072*x^4 - 1861632*x^3 + 1640448*x^2 + 12*sqrt(3)*(7*x^17 - 286*x^16 + 238*x^15 + 14255*x^14 - 50390*x^13 + 5942*x^12 + 171808*x^11 - 226888*x^10 - 48920*x^9 + 415384*x^8 - 315088*x^7 - 125600*x^6 + 336608*x^5 - 177344*x^4 - 89152*x^3 + 78784*x^2 - 39040*x - 18176) - (1164*x^17 - 6276*x^16 - 26052*x^15 + 332844*x^14 - 1632156*x^13 + 4149132*x^12 - 5805024*x^11 + 318696*x^10 + 12621072*x^9 - 19878720*x^8 + 9619008*x^7 + 13361088*x^6 - 20168256*x^5 + 10936128*x^4 + 6434304*x^3 - 6426240*x^2 + 24*sqrt(3)*(28*x^17 - 151*x^16 - 626*x^15 + 8006*x^14 - 39266*x^13 + 99812*x^12 - 139652*x^11 + 7661*x^10 + 303610*x^9 - 478214*x^8 + 231392*x^7 + 321412*x^6 - 485176*x^5 + 263080*x^4 + 154784*x^3 - 154592*x^2 + 78464*x + 36544) + (2340*x^17 - 96354*x^16 + 84798*x^15 + 4817124*x^14 - 17052930*x^13 + 1941678*x^12 + 57963744*x^11 - 76603680*x^10 - 16678512*x^9 + 139922496*x^8 - 106227360*x^7 - 42453216*x^6 + 113269536*x^5 - 59694624*x^4 - 30025728*x^3 + 26496000*x^2 + sqrt(3)*(1351*x^17 - 55630*x^16 + 48958*x^15 + 2781167*x^14 - 9845510*x^13 + 1121030*x^12 + 33465376*x^11 - 44227144*x^10 - 9629336*x^9 + 80784280*x^8 - 61330384*x^7 - 24510368*x^6 + 65396192*x^5 - 34464704*x^4 - 17335360*x^3 + 15297472*x^2 - 7571584*x - 3526400) - 13114368*x - 6107904)*sqrt(-672*sqrt(3) + 1164) + 3261696*x + 1519104)*sqrt(-672*sqrt(3) + 1164) + 12*(97*x^17 - 523*x^16 - 2171*x^15 + 27737*x^14 - 136013*x^13 + 345761*x^12 - 483752*x^11 + 26558*x^10 + 1051756*x^9 - 1656560*x^8 + 801584*x^7 + 1113424*x^6 - 1680688*x^5 + 911344*x^4 + 536192*x^3 - 535520*x^2 + 2*sqrt(3)*(28*x^17 - 151*x^16 - 626*x^15 + 8006*x^14 - 39266*x^13 + 99812*x^12 - 139652*x^11 + 7661*x^10 + 303610*x^9 - 478214*x^8 + 231392*x^7 + 321412*x^6 - 485176*x^5 + 263080*x^4 + 154784*x^3 - 154592*x^2 + 78464*x + 36544) + 271808*x + 126592)*sqrt(-672*sqrt(3) + 1164) - 811008*x - 377856)*sqrt(-56*sqrt(3) + 97) - (sqrt(x^3 + 1)*((459*x^16 - 1557*x^15 - 26415*x^14 - 1449954*x^13 + 4677912*x^12 + 12651948*x^11 - 55684800*x^10 + 62834256*x^9 + 8526168*x^8 - 105313392*x^7 + 99605088*x^6 - 18897984*x^5 - 42499296*x^4 + 37357632*x^3 - 8256960*x^2 + sqrt(3)*(265*x^16 - 899*x^15 - 15249*x^14 - 837130*x^13 + 2700776*x^12 + 7304604*x^11 - 32149640*x^10 + 36277360*x^9 + 4922568*x^8 - 60802736*x^7 + 57507040*x^6 - 10910784*x^5 - 24536992*x^4 + 21568448*x^3 - 4767168*x^2 + 1207168*x + 1383424) + (3691*x^16 + 17731*x^15 - 951114*x^14 + 450359*x^13 + 4370159*x^12 + 30318522*x^11 - 78096668*x^10 + 9429316*x^9 + 146877876*x^8 - 197107784*x^7 - 30834152*x^6 + 185125776*x^5 - 132260896*x^4 - 45545344*x^3 + 69517536*x^2 + sqrt(3)*(2131*x^16 + 10237*x^15 - 549126*x^14 + 260015*x^13 + 2523113*x^12 + 17504406*x^11 - 45089132*x^10 + 5444020*x^9 + 84799980*x^8 - 113800232*x^7 - 17802104*x^6 + 106882416*x^5 - 76360864*x^4 - 26295616*x^3 + 40135968*x^2 - 7907648*x - 5562368) - 13696448*x - 9634304)*sqrt(-672*sqrt(3) + 1164) + 2090880*x + 2396160)*(-672*sqrt(3) + 1164)^(3/4) + 3*(984*x^15 - 14712*x^14 - 53940*x^13 + 411732*x^12 - 280248*x^11 - 324624*x^10 + 180816*x^9 - 518544*x^8 + 974304*x^7 - 887136*x^6 - 1404096*x^5 + 1843584*x^4 + 135936*x^3 - 696192*x^2 + 4*sqrt(3)*(142*x^15 - 2124*x^14 - 7773*x^13 + 59447*x^12 - 40626*x^11 - 46860*x^10 + 26308*x^9 - 75276*x^8 + 140472*x^7 - 127784*x^6 - 202896*x^5 + 266016*x^4 + 19712*x^3 - 100512*x^2 + 62400*x + 24832) + (4945*x^15 - 37473*x^14 - 490698*x^13 + 2249468*x^12 + 474132*x^11 - 8423784*x^10 + 5853520*x^9 + 8451720*x^8 - 15320016*x^7 + 768064*x^6 + 10405056*x^5 - 6627744*x^4 - 700480*x^3 + 2799552*x^2 + sqrt(3)*(2855*x^15 - 21635*x^14 - 283306*x^13 + 1298732*x^12 + 273748*x^11 - 4863472*x^10 + 3379536*x^9 + 4879608*x^8 - 8845008*x^7 + 443456*x^6 + 6007360*x^5 - 3826528*x^4 - 404416*x^3 + 1616320*x^2 - 1003648*x - 399360) - 1738368*x - 691712)*sqrt(-672*sqrt(3) + 1164) + 432384*x + 172032)*(-672*sqrt(3) + 1164)^(1/4))*sqrt(-2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*sqrt(-56*sqrt(3) + 97) - 6*(4680*x^16 - 60552*x^15 + 89856*x^14 + 278280*x^13 + 64440*x^12 - 1285200*x^11 - 255600*x^10 + 3098880*x^9 - 1770336*x^8 - 3614400*x^7 + 3895488*x^6 + 1199232*x^5 - 2905344*x^4 + 681984*x^3 + 649728*x^2 + 108*sqrt(3)*(25*x^16 - 324*x^15 + 489*x^14 + 1482*x^13 + 316*x^12 - 6984*x^11 - 1312*x^10 + 16624*x^9 - 9792*x^8 - 19328*x^7 + 20976*x^6 + 6240*x^5 - 15552*x^4 + 3712*x^3 + 3456*x^2 - 4096*x - 1280) + (1164*x^17 + 1248*x^16 - 246120*x^15 + 518172*x^14 + 2607528*x^13 - 8301144*x^12 + 7017600*x^11 + 6258120*x^10 - 21360336*x^9 + 16998960*x^8 + 966336*x^7 - 18216672*x^6 + 15860544*x^5 - 4720704*x^4 - 6023424*x^3 + 5362176*x^2 + 48*sqrt(3)*(14*x^17 + 15*x^16 - 2960*x^15 + 6232*x^14 + 31362*x^13 - 99844*x^12 + 84404*x^11 + 75267*x^10 - 256916*x^9 + 204458*x^8 + 11616*x^7 - 219104*x^6 + 190768*x^5 - 56784*x^4 - 72448*x^3 + 64496*x^2 - 24480*x - 13376) + (2340*x^17 - 35850*x^16 - 106410*x^15 - 2064744*x^14 + 11945946*x^13 - 1710042*x^12 - 46293732*x^11 + 59161524*x^10 + 18480192*x^9 - 122366520*x^8 + 81203856*x^7 + 45222000*x^6 - 100598112*x^5 + 42207168*x^4 + 29609472*x^3 - 22458240*x^2 + sqrt(3)*(1351*x^17 - 20698*x^16 - 61436*x^15 - 1192081*x^14 + 6896998*x^13 - 987292*x^12 - 26727704*x^11 + 34156928*x^10 + 10669552*x^9 - 70648352*x^8 + 46883072*x^7 + 26108944*x^6 - 58080352*x^5 + 24368320*x^4 + 17095040*x^3 - 12966272*x^2 + 4724480*x + 2581504) + 8183040*x + 4471296)*sqrt(-672*sqrt(3) + 1164) - 2035200*x - 1112064)*sqrt(-672*sqrt(3) + 1164) + 24*(627*x^16 - 14286*x^15 + 39762*x^14 + 50142*x^13 - 216816*x^12 + 112284*x^11 + 325707*x^10 - 586326*x^9 - 3294*x^8 + 631752*x^7 - 539220*x^6 - 184392*x^5 + 483816*x^4 - 115296*x^3 - 108576*x^2 + 2*sqrt(3)*(181*x^16 - 4124*x^15 + 11478*x^14 + 14474*x^13 - 62584*x^12 + 32412*x^11 + 94021*x^10 - 169244*x^9 - 954*x^8 + 182368*x^7 - 155648*x^6 - 53232*x^5 + 139664*x^4 - 33280*x^3 - 31344*x^2 + 37024*x + 11584) + 128256*x + 40128)*sqrt(-672*sqrt(3) + 1164) - 764928*x - 239616)*sqrt(-56*sqrt(3) + 97))*sqrt((36*x^8 + 72*x^7 + 1656*x^6 + 720*x^5 + 1440*x^4 + 2016*x^3 + (60*x^6 + 324*x^5 + 576*x^4 + 696*x^3 + 432*x^2 + 36*sqrt(3)*(x^6 + 5*x^5 + 10*x^4 + 10*x^3 + 8*x^2 + 4*x) + (123*x^6 + 2016*x^5 + 2214*x^4 + 2064*x^3 + 396*x^2 + sqrt(3)*(71*x^6 + 1164*x^5 + 1278*x^4 + 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(-672*sqrt(3) + 1164) + 144*x + 96)*sqrt(x^3 + 1)*sqrt(-2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(-672*sqrt(3) + 1164)^(1/4) - 288*x^2 + 144*sqrt(3)*(x^7 + 4*x^6 + 6*x^5 + 5*x^4 - 4*x^3 + 6*x^2 + 4*x - 8) + 72*(26*x^7 + 38*x^6 + 42*x^5 + 46*x^4 + 46*x^3 + 42*x^2 + sqrt(3)*(15*x^7 + 22*x^6 + 24*x^5 + 27*x^4 + 26*x^3 + 24*x^2 + 12*x + 4) + 20*x + 8)*sqrt(-672*sqrt(3) + 1164) - 576*x + 2304)/(x^8 - 4*x^7 + 16*x^6 - 16*x^5 + 28*x^4 + 32*x^3 + 64*x^2 + 32*x + 16)))/(x^17 + 13*x^16 - 522*x^15 + 1742*x^14 + 3008*x^13 - 16884*x^12 + 11656*x^11 + 23944*x^10 - 42336*x^9 + 9136*x^8 + 36256*x^7 - 27360*x^6 - 256*x^5 + 13376*x^4 - 5760*x^3 - 1664*x^2 + 256*x)) - 1/432*sqrt(-2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(56*sqrt(3) + 97)*sqrt(-56*sqrt(3) + 97)*(-672*sqrt(3) + 1164)^(3/4)*arctan(-1/1296*(6*sqrt(x^3 + 1)*((459*x^16 - 13425*x^15 - 33201*x^14 + 950652*x^13 - 997302*x^12 - 14760972*x^11 + 47069892*x^10 - 49762248*x^9 - 8212536*x^8 + 84377808*x^7 - 88427328*x^6 + 25613856*x^5 + 27458496*x^4 - 36433344*x^3 + 12609792*x^2 + sqrt(3)*(265*x^16 - 7751*x^15 - 19167*x^14 + 548864*x^13 - 575818*x^12 - 8522268*x^11 + 27175852*x^10 - 28730312*x^9 - 4741560*x^8 + 48715600*x^7 - 51053600*x^6 + 14788128*x^5 + 15853184*x^4 - 21034816*x^3 + 7280256*x^2 - 2488832*x - 1889792) + (3691*x^16 - 6128*x^15 - 537864*x^14 + 1586477*x^13 + 16210952*x^12 - 77181756*x^11 + 84218362*x^10 + 71018320*x^9 - 254455812*x^8 + 196076008*x^7 + 120105208*x^6 - 256326864*x^5 + 134645168*x^4 + 78464672*x^3 - 78514944*x^2 + sqrt(3)*(2131*x^16 - 3538*x^15 - 310536*x^14 + 915953*x^13 + 9359398*x^12 - 44560908*x^11 + 48623494*x^10 + 41002448*x^9 - 146910132*x^8 + 113204536*x^7 + 69342776*x^6 - 147990384*x^5 + 77737424*x^4 + 45301600*x^3 - 45330624*x^2 + 12242560*x + 7598336) + 21204736*x + 13160704)*sqrt(-672*sqrt(3) + 1164) - 4310784*x - 3273216)*(-672*sqrt(3) + 1164)^(3/4) + 3*(984*x^15 - 30612*x^14 + 164676*x^13 - 205368*x^12 - 289200*x^11 + 183720*x^10 + 886752*x^9 - 71568*x^8 - 1960992*x^7 + 1849440*x^6 + 1558464*x^5 - 2478912*x^4 + 66432*x^3 + 750336*x^2 + 4*sqrt(3)*(142*x^15 - 4419*x^14 + 23781*x^13 - 29608*x^12 - 41940*x^11 + 26454*x^10 + 128152*x^9 - 10692*x^8 - 283320*x^7 + 267064*x^6 + 224784*x^5 - 357936*x^4 + 9632*x^3 + 108288*x^2 - 96000*x - 33920) + (4945*x^15 - 88617*x^14 + 738528*x^13 - 1860046*x^12 - 784596*x^11 + 7668708*x^10 - 6570680*x^9 - 6903864*x^8 + 15444144*x^7 - 4312832*x^6 - 9559200*x^5 + 9359808*x^4 - 155968*x^3 - 3016704*x^2 + sqrt(3)*(2855*x^15 - 51163*x^14 + 426388*x^13 - 1073898*x^12 - 452980*x^11 + 4427548*x^10 - 3793592*x^9 - 3985944*x^8 + 8916720*x^7 - 2490016*x^6 - 5519008*x^5 + 5403904*x^4 - 90048*x^3 - 1741696*x^2 + 1543936*x + 545536) + 2674176*x + 944896)*sqrt(-672*sqrt(3) + 1164) - 665088*x - 235008)*(-672*sqrt(3) + 1164)^(1/4))*sqrt(-2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*sqrt(-56*sqrt(3) + 97) - 36*(144*x^17 - 5976*x^16 + 5544*x^15 + 299664*x^14 - 1062360*x^13 + 116712*x^12 + 3600000*x^11 - 4761216*x^10 - 1046592*x^9 + 8676864*x^8 - 6592896*x^7 - 2641536*x^6 + 7016832*x^5 - 3699072*x^4 - 1861632*x^3 + 1640448*x^2 + 12*sqrt(3)*(7*x^17 - 286*x^16 + 238*x^15 + 14255*x^14 - 50390*x^13 + 5942*x^12 + 171808*x^11 - 226888*x^10 - 48920*x^9 + 415384*x^8 - 315088*x^7 - 125600*x^6 + 336608*x^5 - 177344*x^4 - 89152*x^3 + 78784*x^2 - 39040*x - 18176) - (1164*x^17 - 6276*x^16 - 26052*x^15 + 332844*x^14 - 1632156*x^13 + 4149132*x^12 - 5805024*x^11 + 318696*x^10 + 12621072*x^9 - 19878720*x^8 + 9619008*x^7 + 13361088*x^6 - 20168256*x^5 + 10936128*x^4 + 6434304*x^3 - 6426240*x^2 + 24*sqrt(3)*(28*x^17 - 151*x^16 - 626*x^15 + 8006*x^14 - 39266*x^13 + 99812*x^12 - 139652*x^11 + 7661*x^10 + 303610*x^9 - 478214*x^8 + 231392*x^7 + 321412*x^6 - 485176*x^5 + 263080*x^4 + 154784*x^3 - 154592*x^2 + 78464*x + 36544) + (2340*x^17 - 96354*x^16 + 84798*x^15 + 4817124*x^14 - 17052930*x^13 + 1941678*x^12 + 57963744*x^11 - 76603680*x^10 - 16678512*x^9 + 139922496*x^8 - 106227360*x^7 - 42453216*x^6 + 113269536*x^5 - 59694624*x^4 - 30025728*x^3 + 26496000*x^2 + sqrt(3)*(1351*x^17 - 55630*x^16 + 48958*x^15 + 2781167*x^14 - 9845510*x^13 + 1121030*x^12 + 33465376*x^11 - 44227144*x^10 - 9629336*x^9 + 80784280*x^8 - 61330384*x^7 - 24510368*x^6 + 65396192*x^5 - 34464704*x^4 - 17335360*x^3 + 15297472*x^2 - 7571584*x - 3526400) - 13114368*x - 6107904)*sqrt(-672*sqrt(3) + 1164) + 3261696*x + 1519104)*sqrt(-672*sqrt(3) + 1164) + 12*(97*x^17 - 523*x^16 - 2171*x^15 + 27737*x^14 - 136013*x^13 + 345761*x^12 - 483752*x^11 + 26558*x^10 + 1051756*x^9 - 1656560*x^8 + 801584*x^7 + 1113424*x^6 - 1680688*x^5 + 911344*x^4 + 536192*x^3 - 535520*x^2 + 2*sqrt(3)*(28*x^17 - 151*x^16 - 626*x^15 + 8006*x^14 - 39266*x^13 + 99812*x^12 - 139652*x^11 + 7661*x^10 + 303610*x^9 - 478214*x^8 + 231392*x^7 + 321412*x^6 - 485176*x^5 + 263080*x^4 + 154784*x^3 - 154592*x^2 + 78464*x + 36544) + 271808*x + 126592)*sqrt(-672*sqrt(3) + 1164) - 811008*x - 377856)*sqrt(-56*sqrt(3) + 97) - (sqrt(x^3 + 1)*((459*x^16 - 1557*x^15 - 26415*x^14 - 1449954*x^13 + 4677912*x^12 + 12651948*x^11 - 55684800*x^10 + 62834256*x^9 + 8526168*x^8 - 105313392*x^7 + 99605088*x^6 - 18897984*x^5 - 42499296*x^4 + 37357632*x^3 - 8256960*x^2 + sqrt(3)*(265*x^16 - 899*x^15 - 15249*x^14 - 837130*x^13 + 2700776*x^12 + 7304604*x^11 - 32149640*x^10 + 36277360*x^9 + 4922568*x^8 - 60802736*x^7 + 57507040*x^6 - 10910784*x^5 - 24536992*x^4 + 21568448*x^3 - 4767168*x^2 + 1207168*x + 1383424) + (3691*x^16 + 17731*x^15 - 951114*x^14 + 450359*x^13 + 4370159*x^12 + 30318522*x^11 - 78096668*x^10 + 9429316*x^9 + 146877876*x^8 - 197107784*x^7 - 30834152*x^6 + 185125776*x^5 - 132260896*x^4 - 45545344*x^3 + 69517536*x^2 + sqrt(3)*(2131*x^16 + 10237*x^15 - 549126*x^14 + 260015*x^13 + 2523113*x^12 + 17504406*x^11 - 45089132*x^10 + 5444020*x^9 + 84799980*x^8 - 113800232*x^7 - 17802104*x^6 + 106882416*x^5 - 76360864*x^4 - 26295616*x^3 + 40135968*x^2 - 7907648*x - 5562368) - 13696448*x - 9634304)*sqrt(-672*sqrt(3) + 1164) + 2090880*x + 2396160)*(-672*sqrt(3) + 1164)^(3/4) + 3*(984*x^15 - 14712*x^14 - 53940*x^13 + 411732*x^12 - 280248*x^11 - 324624*x^10 + 180816*x^9 - 518544*x^8 + 974304*x^7 - 887136*x^6 - 1404096*x^5 + 1843584*x^4 + 135936*x^3 - 696192*x^2 + 4*sqrt(3)*(142*x^15 - 2124*x^14 - 7773*x^13 + 59447*x^12 - 40626*x^11 - 46860*x^10 + 26308*x^9 - 75276*x^8 + 140472*x^7 - 127784*x^6 - 202896*x^5 + 266016*x^4 + 19712*x^3 - 100512*x^2 + 62400*x + 24832) + (4945*x^15 - 37473*x^14 - 490698*x^13 + 2249468*x^12 + 474132*x^11 - 8423784*x^10 + 5853520*x^9 + 8451720*x^8 - 15320016*x^7 + 768064*x^6 + 10405056*x^5 - 6627744*x^4 - 700480*x^3 + 2799552*x^2 + sqrt(3)*(2855*x^15 - 21635*x^14 - 283306*x^13 + 1298732*x^12 + 273748*x^11 - 4863472*x^10 + 3379536*x^9 + 4879608*x^8 - 8845008*x^7 + 443456*x^6 + 6007360*x^5 - 3826528*x^4 - 404416*x^3 + 1616320*x^2 - 1003648*x - 399360) - 1738368*x - 691712)*sqrt(-672*sqrt(3) + 1164) + 432384*x + 172032)*(-672*sqrt(3) + 1164)^(1/4))*sqrt(-2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*sqrt(-56*sqrt(3) + 97) + 6*(4680*x^16 - 60552*x^15 + 89856*x^14 + 278280*x^13 + 64440*x^12 - 1285200*x^11 - 255600*x^10 + 3098880*x^9 - 1770336*x^8 - 3614400*x^7 + 3895488*x^6 + 1199232*x^5 - 2905344*x^4 + 681984*x^3 + 649728*x^2 + 108*sqrt(3)*(25*x^16 - 324*x^15 + 489*x^14 + 1482*x^13 + 316*x^12 - 6984*x^11 - 1312*x^10 + 16624*x^9 - 9792*x^8 - 19328*x^7 + 20976*x^6 + 6240*x^5 - 15552*x^4 + 3712*x^3 + 3456*x^2 - 4096*x - 1280) + (1164*x^17 + 1248*x^16 - 246120*x^15 + 518172*x^14 + 2607528*x^13 - 8301144*x^12 + 7017600*x^11 + 6258120*x^10 - 21360336*x^9 + 16998960*x^8 + 966336*x^7 - 18216672*x^6 + 15860544*x^5 - 4720704*x^4 - 6023424*x^3 + 5362176*x^2 + 48*sqrt(3)*(14*x^17 + 15*x^16 - 2960*x^15 + 6232*x^14 + 31362*x^13 - 99844*x^12 + 84404*x^11 + 75267*x^10 - 256916*x^9 + 204458*x^8 + 11616*x^7 - 219104*x^6 + 190768*x^5 - 56784*x^4 - 72448*x^3 + 64496*x^2 - 24480*x - 13376) + (2340*x^17 - 35850*x^16 - 106410*x^15 - 2064744*x^14 + 11945946*x^13 - 1710042*x^12 - 46293732*x^11 + 59161524*x^10 + 18480192*x^9 - 122366520*x^8 + 81203856*x^7 + 45222000*x^6 - 100598112*x^5 + 42207168*x^4 + 29609472*x^3 - 22458240*x^2 + sqrt(3)*(1351*x^17 - 20698*x^16 - 61436*x^15 - 1192081*x^14 + 6896998*x^13 - 987292*x^12 - 26727704*x^11 + 34156928*x^10 + 10669552*x^9 - 70648352*x^8 + 46883072*x^7 + 26108944*x^6 - 58080352*x^5 + 24368320*x^4 + 17095040*x^3 - 12966272*x^2 + 4724480*x + 2581504) + 8183040*x + 4471296)*sqrt(-672*sqrt(3) + 1164) - 2035200*x - 1112064)*sqrt(-672*sqrt(3) + 1164) + 24*(627*x^16 - 14286*x^15 + 39762*x^14 + 50142*x^13 - 216816*x^12 + 112284*x^11 + 325707*x^10 - 586326*x^9 - 3294*x^8 + 631752*x^7 - 539220*x^6 - 184392*x^5 + 483816*x^4 - 115296*x^3 - 108576*x^2 + 2*sqrt(3)*(181*x^16 - 4124*x^15 + 11478*x^14 + 14474*x^13 - 62584*x^12 + 32412*x^11 + 94021*x^10 - 169244*x^9 - 954*x^8 + 182368*x^7 - 155648*x^6 - 53232*x^5 + 139664*x^4 - 33280*x^3 - 31344*x^2 + 37024*x + 11584) + 128256*x + 40128)*sqrt(-672*sqrt(3) + 1164) - 764928*x - 239616)*sqrt(-56*sqrt(3) + 97))*sqrt((36*x^8 + 72*x^7 + 1656*x^6 + 720*x^5 + 1440*x^4 + 2016*x^3 - (60*x^6 + 324*x^5 + 576*x^4 + 696*x^3 + 432*x^2 + 36*sqrt(3)*(x^6 + 5*x^5 + 10*x^4 + 10*x^3 + 8*x^2 + 4*x) + (123*x^6 + 2016*x^5 + 2214*x^4 + 2064*x^3 + 396*x^2 + sqrt(3)*(71*x^6 + 1164*x^5 + 1278*x^4 + 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(-672*sqrt(3) + 1164) + 144*x + 96)*sqrt(x^3 + 1)*sqrt(-2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(-672*sqrt(3) + 1164)^(1/4) - 288*x^2 + 144*sqrt(3)*(x^7 + 4*x^6 + 6*x^5 + 5*x^4 - 4*x^3 + 6*x^2 + 4*x - 8) + 72*(26*x^7 + 38*x^6 + 42*x^5 + 46*x^4 + 46*x^3 + 42*x^2 + sqrt(3)*(15*x^7 + 22*x^6 + 24*x^5 + 27*x^4 + 26*x^3 + 24*x^2 + 12*x + 4) + 20*x + 8)*sqrt(-672*sqrt(3) + 1164) - 576*x + 2304)/(x^8 - 4*x^7 + 16*x^6 - 16*x^5 + 28*x^4 + 32*x^3 + 64*x^2 + 32*x + 16)))/(x^17 + 13*x^16 - 522*x^15 + 1742*x^14 + 3008*x^13 - 16884*x^12 + 11656*x^11 + 23944*x^10 - 42336*x^9 + 9136*x^8 + 36256*x^7 - 27360*x^6 - 256*x^5 + 13376*x^4 - 5760*x^3 - 1664*x^2 + 256*x)) + 1/5184*((7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 12)*sqrt(-2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(-672*sqrt(3) + 1164)^(1/4)*log(1/36*(36*x^8 + 72*x^7 + 1656*x^6 + 720*x^5 + 1440*x^4 + 2016*x^3 + (60*x^6 + 324*x^5 + 576*x^4 + 696*x^3 + 432*x^2 + 36*sqrt(3)*(x^6 + 5*x^5 + 10*x^4 + 10*x^3 + 8*x^2 + 4*x) + (123*x^6 + 2016*x^5 + 2214*x^4 + 2064*x^3 + 396*x^2 + sqrt(3)*(71*x^6 + 1164*x^5 + 1278*x^4 + 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(-672*sqrt(3) + 1164) + 144*x + 96)*sqrt(x^3 + 1)*sqrt(-2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(-672*sqrt(3) + 1164)^(1/4) - 288*x^2 + 144*sqrt(3)*(x^7 + 4*x^6 + 6*x^5 + 5*x^4 - 4*x^3 + 6*x^2 + 4*x - 8) + 72*(26*x^7 + 38*x^6 + 42*x^5 + 46*x^4 + 46*x^3 + 42*x^2 + sqrt(3)*(15*x^7 + 22*x^6 + 24*x^5 + 27*x^4 + 26*x^3 + 24*x^2 + 12*x + 4) + 20*x + 8)*sqrt(-672*sqrt(3) + 1164) - 576*x + 2304)/(x^8 - 4*x^7 + 16*x^6 - 16*x^5 + 28*x^4 + 32*x^3 + 64*x^2 + 32*x + 16)) - 1/5184*((7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 12)*sqrt(-2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(-672*sqrt(3) + 1164)^(1/4)*log(1/36*(36*x^8 + 72*x^7 + 1656*x^6 + 720*x^5 + 1440*x^4 + 2016*x^3 - (60*x^6 + 324*x^5 + 576*x^4 + 696*x^3 + 432*x^2 + 36*sqrt(3)*(x^6 + 5*x^5 + 10*x^4 + 10*x^3 + 8*x^2 + 4*x) + (123*x^6 + 2016*x^5 + 2214*x^4 + 2064*x^3 + 396*x^2 + sqrt(3)*(71*x^6 + 1164*x^5 + 1278*x^4 + 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(-672*sqrt(3) + 1164) + 144*x + 96)*sqrt(x^3 + 1)*sqrt(-2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(-672*sqrt(3) + 1164)^(1/4) - 288*x^2 + 144*sqrt(3)*(x^7 + 4*x^6 + 6*x^5 + 5*x^4 - 4*x^3 + 6*x^2 + 4*x - 8) + 72*(26*x^7 + 38*x^6 + 42*x^5 + 46*x^4 + 46*x^3 + 42*x^2 + sqrt(3)*(15*x^7 + 22*x^6 + 24*x^5 + 27*x^4 + 26*x^3 + 24*x^2 + 12*x + 4) + 20*x + 8)*sqrt(-672*sqrt(3) + 1164) - 576*x + 2304)/(x^8 - 4*x^7 + 16*x^6 - 16*x^5 + 28*x^4 + 32*x^3 + 64*x^2 + 32*x + 16)) + 1/36*sqrt(14*sqrt(3) - 24)*arctan(1/12*(3*x^2 + sqrt(3)*(x^2 - 10*x - 8) - 18*x - 12)*sqrt(14*sqrt(3) - 24)/sqrt(x^3 + 1))","B",0
87,1,8237,0,16.835269," ","integrate(x/(10+x^3-6*3^(1/2))/(x^3+1)^(1/2),x, algorithm=""fricas"")","-\frac{1}{108} \, \sqrt{3} \sqrt{\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} {\left(56 \, \sqrt{3} + 97\right)} {\left(56 \, \sqrt{3} - 97\right)} \arctan\left(\frac{216 \, \sqrt{3} {\left(97 \, x^{17} - 523 \, x^{16} - 2171 \, x^{15} + 27737 \, x^{14} - 136013 \, x^{13} + 345761 \, x^{12} - 483752 \, x^{11} + 26558 \, x^{10} + 1051756 \, x^{9} - 1656560 \, x^{8} + 801584 \, x^{7} + 1113424 \, x^{6} - 1680688 \, x^{5} + 911344 \, x^{4} + 536192 \, x^{3} - 535520 \, x^{2} - 2 \, \sqrt{3} {\left(28 \, x^{17} - 151 \, x^{16} - 626 \, x^{15} + 8006 \, x^{14} - 39266 \, x^{13} + 99812 \, x^{12} - 139652 \, x^{11} + 7661 \, x^{10} + 303610 \, x^{9} - 478214 \, x^{8} + 231392 \, x^{7} + 321412 \, x^{6} - 485176 \, x^{5} + 263080 \, x^{4} + 154784 \, x^{3} - 154592 \, x^{2} + 78464 \, x + 36544\right)} + 271808 \, x + 126592\right)} {\left(56 \, \sqrt{3} + 97\right)} - 36 \, \sqrt{3} {\left(\sqrt{3} {\left(2340 \, x^{17} - 96354 \, x^{16} + 84798 \, x^{15} + 4817124 \, x^{14} - 17052930 \, x^{13} + 1941678 \, x^{12} + 57963744 \, x^{11} - 76603680 \, x^{10} - 16678512 \, x^{9} + 139922496 \, x^{8} - 106227360 \, x^{7} - 42453216 \, x^{6} + 113269536 \, x^{5} - 59694624 \, x^{4} - 30025728 \, x^{3} + 26496000 \, x^{2} - \sqrt{3} {\left(1351 \, x^{17} - 55630 \, x^{16} + 48958 \, x^{15} + 2781167 \, x^{14} - 9845510 \, x^{13} + 1121030 \, x^{12} + 33465376 \, x^{11} - 44227144 \, x^{10} - 9629336 \, x^{9} + 80784280 \, x^{8} - 61330384 \, x^{7} - 24510368 \, x^{6} + 65396192 \, x^{5} - 34464704 \, x^{4} - 17335360 \, x^{3} + 15297472 \, x^{2} - 7571584 \, x - 3526400\right)} - 13114368 \, x - 6107904\right)} {\left(56 \, \sqrt{3} + 97\right)} + 6 \, {\left(97 \, x^{17} - 523 \, x^{16} - 2171 \, x^{15} + 27737 \, x^{14} - 136013 \, x^{13} + 345761 \, x^{12} - 483752 \, x^{11} + 26558 \, x^{10} + 1051756 \, x^{9} - 1656560 \, x^{8} + 801584 \, x^{7} + 1113424 \, x^{6} - 1680688 \, x^{5} + 911344 \, x^{4} + 536192 \, x^{3} - 535520 \, x^{2} - 2 \, \sqrt{3} {\left(28 \, x^{17} - 151 \, x^{16} - 626 \, x^{15} + 8006 \, x^{14} - 39266 \, x^{13} + 99812 \, x^{12} - 139652 \, x^{11} + 7661 \, x^{10} + 303610 \, x^{9} - 478214 \, x^{8} + 231392 \, x^{7} + 321412 \, x^{6} - 485176 \, x^{5} + 263080 \, x^{4} + 154784 \, x^{3} - 154592 \, x^{2} + 78464 \, x + 36544\right)} + 271808 \, x + 126592\right)} \sqrt{56 \, \sqrt{3} + 97}\right)} \sqrt{56 \, \sqrt{3} + 97} + 3 \, \sqrt{\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6} {\left({\left(2 \, \sqrt{3} {\left(3691 \, x^{16} - 6128 \, x^{15} - 537864 \, x^{14} + 1586477 \, x^{13} + 16210952 \, x^{12} - 77181756 \, x^{11} + 84218362 \, x^{10} + 71018320 \, x^{9} - 254455812 \, x^{8} + 196076008 \, x^{7} + 120105208 \, x^{6} - 256326864 \, x^{5} + 134645168 \, x^{4} + 78464672 \, x^{3} - 78514944 \, x^{2} - \sqrt{3} {\left(2131 \, x^{16} - 3538 \, x^{15} - 310536 \, x^{14} + 915953 \, x^{13} + 9359398 \, x^{12} - 44560908 \, x^{11} + 48623494 \, x^{10} + 41002448 \, x^{9} - 146910132 \, x^{8} + 113204536 \, x^{7} + 69342776 \, x^{6} - 147990384 \, x^{5} + 77737424 \, x^{4} + 45301600 \, x^{3} - 45330624 \, x^{2} + 12242560 \, x + 7598336\right)} + 21204736 \, x + 13160704\right)} \sqrt{x^{3} + 1} {\left(56 \, \sqrt{3} + 97\right)} + {\left(459 \, x^{16} - 13425 \, x^{15} - 33201 \, x^{14} + 950652 \, x^{13} - 997302 \, x^{12} - 14760972 \, x^{11} + 47069892 \, x^{10} - 49762248 \, x^{9} - 8212536 \, x^{8} + 84377808 \, x^{7} - 88427328 \, x^{6} + 25613856 \, x^{5} + 27458496 \, x^{4} - 36433344 \, x^{3} + 12609792 \, x^{2} - \sqrt{3} {\left(265 \, x^{16} - 7751 \, x^{15} - 19167 \, x^{14} + 548864 \, x^{13} - 575818 \, x^{12} - 8522268 \, x^{11} + 27175852 \, x^{10} - 28730312 \, x^{9} - 4741560 \, x^{8} + 48715600 \, x^{7} - 51053600 \, x^{6} + 14788128 \, x^{5} + 15853184 \, x^{4} - 21034816 \, x^{3} + 7280256 \, x^{2} - 2488832 \, x - 1889792\right)} - 4310784 \, x - 3273216\right)} \sqrt{x^{3} + 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 6 \, {\left(\sqrt{3} {\left(4945 \, x^{15} - 88617 \, x^{14} + 738528 \, x^{13} - 1860046 \, x^{12} - 784596 \, x^{11} + 7668708 \, x^{10} - 6570680 \, x^{9} - 6903864 \, x^{8} + 15444144 \, x^{7} - 4312832 \, x^{6} - 9559200 \, x^{5} + 9359808 \, x^{4} - 155968 \, x^{3} - 3016704 \, x^{2} - \sqrt{3} {\left(2855 \, x^{15} - 51163 \, x^{14} + 426388 \, x^{13} - 1073898 \, x^{12} - 452980 \, x^{11} + 4427548 \, x^{10} - 3793592 \, x^{9} - 3985944 \, x^{8} + 8916720 \, x^{7} - 2490016 \, x^{6} - 5519008 \, x^{5} + 5403904 \, x^{4} - 90048 \, x^{3} - 1741696 \, x^{2} + 1543936 \, x + 545536\right)} + 2674176 \, x + 944896\right)} \sqrt{x^{3} + 1} {\left(56 \, \sqrt{3} + 97\right)} + 2 \, {\left(246 \, x^{15} - 7653 \, x^{14} + 41169 \, x^{13} - 51342 \, x^{12} - 72300 \, x^{11} + 45930 \, x^{10} + 221688 \, x^{9} - 17892 \, x^{8} - 490248 \, x^{7} + 462360 \, x^{6} + 389616 \, x^{5} - 619728 \, x^{4} + 16608 \, x^{3} + 187584 \, x^{2} - \sqrt{3} {\left(142 \, x^{15} - 4419 \, x^{14} + 23781 \, x^{13} - 29608 \, x^{12} - 41940 \, x^{11} + 26454 \, x^{10} + 128152 \, x^{9} - 10692 \, x^{8} - 283320 \, x^{7} + 267064 \, x^{6} + 224784 \, x^{5} - 357936 \, x^{4} + 9632 \, x^{3} + 108288 \, x^{2} - 96000 \, x - 33920\right)} - 166272 \, x - 58752\right)} \sqrt{x^{3} + 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} + 108 \, {\left(12 \, x^{17} - 498 \, x^{16} + 462 \, x^{15} + 24972 \, x^{14} - 88530 \, x^{13} + 9726 \, x^{12} + 300000 \, x^{11} - 396768 \, x^{10} - 87216 \, x^{9} + 723072 \, x^{8} - 549408 \, x^{7} - 220128 \, x^{6} + 584736 \, x^{5} - 308256 \, x^{4} - 155136 \, x^{3} + 136704 \, x^{2} - \sqrt{3} {\left(7 \, x^{17} - 286 \, x^{16} + 238 \, x^{15} + 14255 \, x^{14} - 50390 \, x^{13} + 5942 \, x^{12} + 171808 \, x^{11} - 226888 \, x^{10} - 48920 \, x^{9} + 415384 \, x^{8} - 315088 \, x^{7} - 125600 \, x^{6} + 336608 \, x^{5} - 177344 \, x^{4} - 89152 \, x^{3} + 78784 \, x^{2} - 39040 \, x - 18176\right)} - 67584 \, x - 31488\right)} \sqrt{56 \, \sqrt{3} + 97} + {\left(144 \, \sqrt{3} {\left(627 \, x^{16} - 14286 \, x^{15} + 39762 \, x^{14} + 50142 \, x^{13} - 216816 \, x^{12} + 112284 \, x^{11} + 325707 \, x^{10} - 586326 \, x^{9} - 3294 \, x^{8} + 631752 \, x^{7} - 539220 \, x^{6} - 184392 \, x^{5} + 483816 \, x^{4} - 115296 \, x^{3} - 108576 \, x^{2} - 2 \, \sqrt{3} {\left(181 \, x^{16} - 4124 \, x^{15} + 11478 \, x^{14} + 14474 \, x^{13} - 62584 \, x^{12} + 32412 \, x^{11} + 94021 \, x^{10} - 169244 \, x^{9} - 954 \, x^{8} + 182368 \, x^{7} - 155648 \, x^{6} - 53232 \, x^{5} + 139664 \, x^{4} - 33280 \, x^{3} - 31344 \, x^{2} + 37024 \, x + 11584\right)} + 128256 \, x + 40128\right)} {\left(56 \, \sqrt{3} + 97\right)} + 12 \, \sqrt{3} {\left(\sqrt{3} {\left(2340 \, x^{17} - 35850 \, x^{16} - 106410 \, x^{15} - 2064744 \, x^{14} + 11945946 \, x^{13} - 1710042 \, x^{12} - 46293732 \, x^{11} + 59161524 \, x^{10} + 18480192 \, x^{9} - 122366520 \, x^{8} + 81203856 \, x^{7} + 45222000 \, x^{6} - 100598112 \, x^{5} + 42207168 \, x^{4} + 29609472 \, x^{3} - 22458240 \, x^{2} - \sqrt{3} {\left(1351 \, x^{17} - 20698 \, x^{16} - 61436 \, x^{15} - 1192081 \, x^{14} + 6896998 \, x^{13} - 987292 \, x^{12} - 26727704 \, x^{11} + 34156928 \, x^{10} + 10669552 \, x^{9} - 70648352 \, x^{8} + 46883072 \, x^{7} + 26108944 \, x^{6} - 58080352 \, x^{5} + 24368320 \, x^{4} + 17095040 \, x^{3} - 12966272 \, x^{2} + 4724480 \, x + 2581504\right)} + 8183040 \, x + 4471296\right)} {\left(56 \, \sqrt{3} + 97\right)} + 6 \, {\left(97 \, x^{17} + 104 \, x^{16} - 20510 \, x^{15} + 43181 \, x^{14} + 217294 \, x^{13} - 691762 \, x^{12} + 584800 \, x^{11} + 521510 \, x^{10} - 1780028 \, x^{9} + 1416580 \, x^{8} + 80528 \, x^{7} - 1518056 \, x^{6} + 1321712 \, x^{5} - 393392 \, x^{4} - 501952 \, x^{3} + 446848 \, x^{2} - 4 \, \sqrt{3} {\left(14 \, x^{17} + 15 \, x^{16} - 2960 \, x^{15} + 6232 \, x^{14} + 31362 \, x^{13} - 99844 \, x^{12} + 84404 \, x^{11} + 75267 \, x^{10} - 256916 \, x^{9} + 204458 \, x^{8} + 11616 \, x^{7} - 219104 \, x^{6} + 190768 \, x^{5} - 56784 \, x^{4} - 72448 \, x^{3} + 64496 \, x^{2} - 24480 \, x - 13376\right)} - 169600 \, x - 92672\right)} \sqrt{56 \, \sqrt{3} + 97}\right)} \sqrt{56 \, \sqrt{3} + 97} - \sqrt{\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6} {\left({\left(2 \, \sqrt{3} {\left(3691 \, x^{16} + 17731 \, x^{15} - 951114 \, x^{14} + 450359 \, x^{13} + 4370159 \, x^{12} + 30318522 \, x^{11} - 78096668 \, x^{10} + 9429316 \, x^{9} + 146877876 \, x^{8} - 197107784 \, x^{7} - 30834152 \, x^{6} + 185125776 \, x^{5} - 132260896 \, x^{4} - 45545344 \, x^{3} + 69517536 \, x^{2} - \sqrt{3} {\left(2131 \, x^{16} + 10237 \, x^{15} - 549126 \, x^{14} + 260015 \, x^{13} + 2523113 \, x^{12} + 17504406 \, x^{11} - 45089132 \, x^{10} + 5444020 \, x^{9} + 84799980 \, x^{8} - 113800232 \, x^{7} - 17802104 \, x^{6} + 106882416 \, x^{5} - 76360864 \, x^{4} - 26295616 \, x^{3} + 40135968 \, x^{2} - 7907648 \, x - 5562368\right)} - 13696448 \, x - 9634304\right)} \sqrt{x^{3} + 1} {\left(56 \, \sqrt{3} + 97\right)} + {\left(459 \, x^{16} - 1557 \, x^{15} - 26415 \, x^{14} - 1449954 \, x^{13} + 4677912 \, x^{12} + 12651948 \, x^{11} - 55684800 \, x^{10} + 62834256 \, x^{9} + 8526168 \, x^{8} - 105313392 \, x^{7} + 99605088 \, x^{6} - 18897984 \, x^{5} - 42499296 \, x^{4} + 37357632 \, x^{3} - 8256960 \, x^{2} - \sqrt{3} {\left(265 \, x^{16} - 899 \, x^{15} - 15249 \, x^{14} - 837130 \, x^{13} + 2700776 \, x^{12} + 7304604 \, x^{11} - 32149640 \, x^{10} + 36277360 \, x^{9} + 4922568 \, x^{8} - 60802736 \, x^{7} + 57507040 \, x^{6} - 10910784 \, x^{5} - 24536992 \, x^{4} + 21568448 \, x^{3} - 4767168 \, x^{2} + 1207168 \, x + 1383424\right)} + 2090880 \, x + 2396160\right)} \sqrt{x^{3} + 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 6 \, {\left(\sqrt{3} {\left(4945 \, x^{15} - 37473 \, x^{14} - 490698 \, x^{13} + 2249468 \, x^{12} + 474132 \, x^{11} - 8423784 \, x^{10} + 5853520 \, x^{9} + 8451720 \, x^{8} - 15320016 \, x^{7} + 768064 \, x^{6} + 10405056 \, x^{5} - 6627744 \, x^{4} - 700480 \, x^{3} + 2799552 \, x^{2} - \sqrt{3} {\left(2855 \, x^{15} - 21635 \, x^{14} - 283306 \, x^{13} + 1298732 \, x^{12} + 273748 \, x^{11} - 4863472 \, x^{10} + 3379536 \, x^{9} + 4879608 \, x^{8} - 8845008 \, x^{7} + 443456 \, x^{6} + 6007360 \, x^{5} - 3826528 \, x^{4} - 404416 \, x^{3} + 1616320 \, x^{2} - 1003648 \, x - 399360\right)} - 1738368 \, x - 691712\right)} \sqrt{x^{3} + 1} {\left(56 \, \sqrt{3} + 97\right)} + 2 \, {\left(246 \, x^{15} - 3678 \, x^{14} - 13485 \, x^{13} + 102933 \, x^{12} - 70062 \, x^{11} - 81156 \, x^{10} + 45204 \, x^{9} - 129636 \, x^{8} + 243576 \, x^{7} - 221784 \, x^{6} - 351024 \, x^{5} + 460896 \, x^{4} + 33984 \, x^{3} - 174048 \, x^{2} - \sqrt{3} {\left(142 \, x^{15} - 2124 \, x^{14} - 7773 \, x^{13} + 59447 \, x^{12} - 40626 \, x^{11} - 46860 \, x^{10} + 26308 \, x^{9} - 75276 \, x^{8} + 140472 \, x^{7} - 127784 \, x^{6} - 202896 \, x^{5} + 266016 \, x^{4} + 19712 \, x^{3} - 100512 \, x^{2} + 62400 \, x + 24832\right)} + 108096 \, x + 43008\right)} \sqrt{x^{3} + 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} + 108 \, {\left(130 \, x^{16} - 1682 \, x^{15} + 2496 \, x^{14} + 7730 \, x^{13} + 1790 \, x^{12} - 35700 \, x^{11} - 7100 \, x^{10} + 86080 \, x^{9} - 49176 \, x^{8} - 100400 \, x^{7} + 108208 \, x^{6} + 33312 \, x^{5} - 80704 \, x^{4} + 18944 \, x^{3} + 18048 \, x^{2} - 3 \, \sqrt{3} {\left(25 \, x^{16} - 324 \, x^{15} + 489 \, x^{14} + 1482 \, x^{13} + 316 \, x^{12} - 6984 \, x^{11} - 1312 \, x^{10} + 16624 \, x^{9} - 9792 \, x^{8} - 19328 \, x^{7} + 20976 \, x^{6} + 6240 \, x^{5} - 15552 \, x^{4} + 3712 \, x^{3} + 3456 \, x^{2} - 4096 \, x - 1280\right)} - 21248 \, x - 6656\right)} \sqrt{56 \, \sqrt{3} + 97}\right)} \sqrt{\frac{9 \, x^{8} + 18 \, x^{7} + 414 \, x^{6} + 180 \, x^{5} + 360 \, x^{4} + 504 \, x^{3} - 72 \, x^{2} + 36 \, \sqrt{3} {\left(26 \, x^{7} + 38 \, x^{6} + 42 \, x^{5} + 46 \, x^{4} + 46 \, x^{3} + 42 \, x^{2} - \sqrt{3} {\left(15 \, x^{7} + 22 \, x^{6} + 24 \, x^{5} + 27 \, x^{4} + 26 \, x^{3} + 24 \, x^{2} + 12 \, x + 4\right)} + 20 \, x + 8\right)} \sqrt{56 \, \sqrt{3} + 97} + {\left(\sqrt{3} {\left(123 \, x^{6} + 2016 \, x^{5} + 2214 \, x^{4} + 2064 \, x^{3} + 396 \, x^{2} - \sqrt{3} {\left(71 \, x^{6} + 1164 \, x^{5} + 1278 \, x^{4} + 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{x^{3} + 1} \sqrt{56 \, \sqrt{3} + 97} + 6 \, {\left(5 \, x^{6} + 27 \, x^{5} + 48 \, x^{4} + 58 \, x^{3} + 36 \, x^{2} - 3 \, \sqrt{3} {\left(x^{6} + 5 \, x^{5} + 10 \, x^{4} + 10 \, x^{3} + 8 \, x^{2} + 4 \, x\right)} + 12 \, x + 8\right)} \sqrt{x^{3} + 1}\right)} \sqrt{\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} - 36 \, \sqrt{3} {\left(x^{7} + 4 \, x^{6} + 6 \, x^{5} + 5 \, x^{4} - 4 \, x^{3} + 6 \, x^{2} + 4 \, x - 8\right)} - 144 \, x + 576}{x^{8} - 4 \, x^{7} + 16 \, x^{6} - 16 \, x^{5} + 28 \, x^{4} + 32 \, x^{3} + 64 \, x^{2} + 32 \, x + 16}}}{324 \, {\left(x^{17} + 13 \, x^{16} - 522 \, x^{15} + 1742 \, x^{14} + 3008 \, x^{13} - 16884 \, x^{12} + 11656 \, x^{11} + 23944 \, x^{10} - 42336 \, x^{9} + 9136 \, x^{8} + 36256 \, x^{7} - 27360 \, x^{6} - 256 \, x^{5} + 13376 \, x^{4} - 5760 \, x^{3} - 1664 \, x^{2} + 256 \, x\right)}}\right) - \frac{1}{108} \, \sqrt{3} \sqrt{\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} {\left(56 \, \sqrt{3} + 97\right)} {\left(56 \, \sqrt{3} - 97\right)} \arctan\left(-\frac{216 \, \sqrt{3} {\left(97 \, x^{17} - 523 \, x^{16} - 2171 \, x^{15} + 27737 \, x^{14} - 136013 \, x^{13} + 345761 \, x^{12} - 483752 \, x^{11} + 26558 \, x^{10} + 1051756 \, x^{9} - 1656560 \, x^{8} + 801584 \, x^{7} + 1113424 \, x^{6} - 1680688 \, x^{5} + 911344 \, x^{4} + 536192 \, x^{3} - 535520 \, x^{2} - 2 \, \sqrt{3} {\left(28 \, x^{17} - 151 \, x^{16} - 626 \, x^{15} + 8006 \, x^{14} - 39266 \, x^{13} + 99812 \, x^{12} - 139652 \, x^{11} + 7661 \, x^{10} + 303610 \, x^{9} - 478214 \, x^{8} + 231392 \, x^{7} + 321412 \, x^{6} - 485176 \, x^{5} + 263080 \, x^{4} + 154784 \, x^{3} - 154592 \, x^{2} + 78464 \, x + 36544\right)} + 271808 \, x + 126592\right)} {\left(56 \, \sqrt{3} + 97\right)} - 36 \, \sqrt{3} {\left(\sqrt{3} {\left(2340 \, x^{17} - 96354 \, x^{16} + 84798 \, x^{15} + 4817124 \, x^{14} - 17052930 \, x^{13} + 1941678 \, x^{12} + 57963744 \, x^{11} - 76603680 \, x^{10} - 16678512 \, x^{9} + 139922496 \, x^{8} - 106227360 \, x^{7} - 42453216 \, x^{6} + 113269536 \, x^{5} - 59694624 \, x^{4} - 30025728 \, x^{3} + 26496000 \, x^{2} - \sqrt{3} {\left(1351 \, x^{17} - 55630 \, x^{16} + 48958 \, x^{15} + 2781167 \, x^{14} - 9845510 \, x^{13} + 1121030 \, x^{12} + 33465376 \, x^{11} - 44227144 \, x^{10} - 9629336 \, x^{9} + 80784280 \, x^{8} - 61330384 \, x^{7} - 24510368 \, x^{6} + 65396192 \, x^{5} - 34464704 \, x^{4} - 17335360 \, x^{3} + 15297472 \, x^{2} - 7571584 \, x - 3526400\right)} - 13114368 \, x - 6107904\right)} {\left(56 \, \sqrt{3} + 97\right)} + 6 \, {\left(97 \, x^{17} - 523 \, x^{16} - 2171 \, x^{15} + 27737 \, x^{14} - 136013 \, x^{13} + 345761 \, x^{12} - 483752 \, x^{11} + 26558 \, x^{10} + 1051756 \, x^{9} - 1656560 \, x^{8} + 801584 \, x^{7} + 1113424 \, x^{6} - 1680688 \, x^{5} + 911344 \, x^{4} + 536192 \, x^{3} - 535520 \, x^{2} - 2 \, \sqrt{3} {\left(28 \, x^{17} - 151 \, x^{16} - 626 \, x^{15} + 8006 \, x^{14} - 39266 \, x^{13} + 99812 \, x^{12} - 139652 \, x^{11} + 7661 \, x^{10} + 303610 \, x^{9} - 478214 \, x^{8} + 231392 \, x^{7} + 321412 \, x^{6} - 485176 \, x^{5} + 263080 \, x^{4} + 154784 \, x^{3} - 154592 \, x^{2} + 78464 \, x + 36544\right)} + 271808 \, x + 126592\right)} \sqrt{56 \, \sqrt{3} + 97}\right)} \sqrt{56 \, \sqrt{3} + 97} - 3 \, \sqrt{\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6} {\left({\left(2 \, \sqrt{3} {\left(3691 \, x^{16} - 6128 \, x^{15} - 537864 \, x^{14} + 1586477 \, x^{13} + 16210952 \, x^{12} - 77181756 \, x^{11} + 84218362 \, x^{10} + 71018320 \, x^{9} - 254455812 \, x^{8} + 196076008 \, x^{7} + 120105208 \, x^{6} - 256326864 \, x^{5} + 134645168 \, x^{4} + 78464672 \, x^{3} - 78514944 \, x^{2} - \sqrt{3} {\left(2131 \, x^{16} - 3538 \, x^{15} - 310536 \, x^{14} + 915953 \, x^{13} + 9359398 \, x^{12} - 44560908 \, x^{11} + 48623494 \, x^{10} + 41002448 \, x^{9} - 146910132 \, x^{8} + 113204536 \, x^{7} + 69342776 \, x^{6} - 147990384 \, x^{5} + 77737424 \, x^{4} + 45301600 \, x^{3} - 45330624 \, x^{2} + 12242560 \, x + 7598336\right)} + 21204736 \, x + 13160704\right)} \sqrt{x^{3} + 1} {\left(56 \, \sqrt{3} + 97\right)} + {\left(459 \, x^{16} - 13425 \, x^{15} - 33201 \, x^{14} + 950652 \, x^{13} - 997302 \, x^{12} - 14760972 \, x^{11} + 47069892 \, x^{10} - 49762248 \, x^{9} - 8212536 \, x^{8} + 84377808 \, x^{7} - 88427328 \, x^{6} + 25613856 \, x^{5} + 27458496 \, x^{4} - 36433344 \, x^{3} + 12609792 \, x^{2} - \sqrt{3} {\left(265 \, x^{16} - 7751 \, x^{15} - 19167 \, x^{14} + 548864 \, x^{13} - 575818 \, x^{12} - 8522268 \, x^{11} + 27175852 \, x^{10} - 28730312 \, x^{9} - 4741560 \, x^{8} + 48715600 \, x^{7} - 51053600 \, x^{6} + 14788128 \, x^{5} + 15853184 \, x^{4} - 21034816 \, x^{3} + 7280256 \, x^{2} - 2488832 \, x - 1889792\right)} - 4310784 \, x - 3273216\right)} \sqrt{x^{3} + 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 6 \, {\left(\sqrt{3} {\left(4945 \, x^{15} - 88617 \, x^{14} + 738528 \, x^{13} - 1860046 \, x^{12} - 784596 \, x^{11} + 7668708 \, x^{10} - 6570680 \, x^{9} - 6903864 \, x^{8} + 15444144 \, x^{7} - 4312832 \, x^{6} - 9559200 \, x^{5} + 9359808 \, x^{4} - 155968 \, x^{3} - 3016704 \, x^{2} - \sqrt{3} {\left(2855 \, x^{15} - 51163 \, x^{14} + 426388 \, x^{13} - 1073898 \, x^{12} - 452980 \, x^{11} + 4427548 \, x^{10} - 3793592 \, x^{9} - 3985944 \, x^{8} + 8916720 \, x^{7} - 2490016 \, x^{6} - 5519008 \, x^{5} + 5403904 \, x^{4} - 90048 \, x^{3} - 1741696 \, x^{2} + 1543936 \, x + 545536\right)} + 2674176 \, x + 944896\right)} \sqrt{x^{3} + 1} {\left(56 \, \sqrt{3} + 97\right)} + 2 \, {\left(246 \, x^{15} - 7653 \, x^{14} + 41169 \, x^{13} - 51342 \, x^{12} - 72300 \, x^{11} + 45930 \, x^{10} + 221688 \, x^{9} - 17892 \, x^{8} - 490248 \, x^{7} + 462360 \, x^{6} + 389616 \, x^{5} - 619728 \, x^{4} + 16608 \, x^{3} + 187584 \, x^{2} - \sqrt{3} {\left(142 \, x^{15} - 4419 \, x^{14} + 23781 \, x^{13} - 29608 \, x^{12} - 41940 \, x^{11} + 26454 \, x^{10} + 128152 \, x^{9} - 10692 \, x^{8} - 283320 \, x^{7} + 267064 \, x^{6} + 224784 \, x^{5} - 357936 \, x^{4} + 9632 \, x^{3} + 108288 \, x^{2} - 96000 \, x - 33920\right)} - 166272 \, x - 58752\right)} \sqrt{x^{3} + 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} + 108 \, {\left(12 \, x^{17} - 498 \, x^{16} + 462 \, x^{15} + 24972 \, x^{14} - 88530 \, x^{13} + 9726 \, x^{12} + 300000 \, x^{11} - 396768 \, x^{10} - 87216 \, x^{9} + 723072 \, x^{8} - 549408 \, x^{7} - 220128 \, x^{6} + 584736 \, x^{5} - 308256 \, x^{4} - 155136 \, x^{3} + 136704 \, x^{2} - \sqrt{3} {\left(7 \, x^{17} - 286 \, x^{16} + 238 \, x^{15} + 14255 \, x^{14} - 50390 \, x^{13} + 5942 \, x^{12} + 171808 \, x^{11} - 226888 \, x^{10} - 48920 \, x^{9} + 415384 \, x^{8} - 315088 \, x^{7} - 125600 \, x^{6} + 336608 \, x^{5} - 177344 \, x^{4} - 89152 \, x^{3} + 78784 \, x^{2} - 39040 \, x - 18176\right)} - 67584 \, x - 31488\right)} \sqrt{56 \, \sqrt{3} + 97} + {\left(144 \, \sqrt{3} {\left(627 \, x^{16} - 14286 \, x^{15} + 39762 \, x^{14} + 50142 \, x^{13} - 216816 \, x^{12} + 112284 \, x^{11} + 325707 \, x^{10} - 586326 \, x^{9} - 3294 \, x^{8} + 631752 \, x^{7} - 539220 \, x^{6} - 184392 \, x^{5} + 483816 \, x^{4} - 115296 \, x^{3} - 108576 \, x^{2} - 2 \, \sqrt{3} {\left(181 \, x^{16} - 4124 \, x^{15} + 11478 \, x^{14} + 14474 \, x^{13} - 62584 \, x^{12} + 32412 \, x^{11} + 94021 \, x^{10} - 169244 \, x^{9} - 954 \, x^{8} + 182368 \, x^{7} - 155648 \, x^{6} - 53232 \, x^{5} + 139664 \, x^{4} - 33280 \, x^{3} - 31344 \, x^{2} + 37024 \, x + 11584\right)} + 128256 \, x + 40128\right)} {\left(56 \, \sqrt{3} + 97\right)} + 12 \, \sqrt{3} {\left(\sqrt{3} {\left(2340 \, x^{17} - 35850 \, x^{16} - 106410 \, x^{15} - 2064744 \, x^{14} + 11945946 \, x^{13} - 1710042 \, x^{12} - 46293732 \, x^{11} + 59161524 \, x^{10} + 18480192 \, x^{9} - 122366520 \, x^{8} + 81203856 \, x^{7} + 45222000 \, x^{6} - 100598112 \, x^{5} + 42207168 \, x^{4} + 29609472 \, x^{3} - 22458240 \, x^{2} - \sqrt{3} {\left(1351 \, x^{17} - 20698 \, x^{16} - 61436 \, x^{15} - 1192081 \, x^{14} + 6896998 \, x^{13} - 987292 \, x^{12} - 26727704 \, x^{11} + 34156928 \, x^{10} + 10669552 \, x^{9} - 70648352 \, x^{8} + 46883072 \, x^{7} + 26108944 \, x^{6} - 58080352 \, x^{5} + 24368320 \, x^{4} + 17095040 \, x^{3} - 12966272 \, x^{2} + 4724480 \, x + 2581504\right)} + 8183040 \, x + 4471296\right)} {\left(56 \, \sqrt{3} + 97\right)} + 6 \, {\left(97 \, x^{17} + 104 \, x^{16} - 20510 \, x^{15} + 43181 \, x^{14} + 217294 \, x^{13} - 691762 \, x^{12} + 584800 \, x^{11} + 521510 \, x^{10} - 1780028 \, x^{9} + 1416580 \, x^{8} + 80528 \, x^{7} - 1518056 \, x^{6} + 1321712 \, x^{5} - 393392 \, x^{4} - 501952 \, x^{3} + 446848 \, x^{2} - 4 \, \sqrt{3} {\left(14 \, x^{17} + 15 \, x^{16} - 2960 \, x^{15} + 6232 \, x^{14} + 31362 \, x^{13} - 99844 \, x^{12} + 84404 \, x^{11} + 75267 \, x^{10} - 256916 \, x^{9} + 204458 \, x^{8} + 11616 \, x^{7} - 219104 \, x^{6} + 190768 \, x^{5} - 56784 \, x^{4} - 72448 \, x^{3} + 64496 \, x^{2} - 24480 \, x - 13376\right)} - 169600 \, x - 92672\right)} \sqrt{56 \, \sqrt{3} + 97}\right)} \sqrt{56 \, \sqrt{3} + 97} + \sqrt{\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6} {\left({\left(2 \, \sqrt{3} {\left(3691 \, x^{16} + 17731 \, x^{15} - 951114 \, x^{14} + 450359 \, x^{13} + 4370159 \, x^{12} + 30318522 \, x^{11} - 78096668 \, x^{10} + 9429316 \, x^{9} + 146877876 \, x^{8} - 197107784 \, x^{7} - 30834152 \, x^{6} + 185125776 \, x^{5} - 132260896 \, x^{4} - 45545344 \, x^{3} + 69517536 \, x^{2} - \sqrt{3} {\left(2131 \, x^{16} + 10237 \, x^{15} - 549126 \, x^{14} + 260015 \, x^{13} + 2523113 \, x^{12} + 17504406 \, x^{11} - 45089132 \, x^{10} + 5444020 \, x^{9} + 84799980 \, x^{8} - 113800232 \, x^{7} - 17802104 \, x^{6} + 106882416 \, x^{5} - 76360864 \, x^{4} - 26295616 \, x^{3} + 40135968 \, x^{2} - 7907648 \, x - 5562368\right)} - 13696448 \, x - 9634304\right)} \sqrt{x^{3} + 1} {\left(56 \, \sqrt{3} + 97\right)} + {\left(459 \, x^{16} - 1557 \, x^{15} - 26415 \, x^{14} - 1449954 \, x^{13} + 4677912 \, x^{12} + 12651948 \, x^{11} - 55684800 \, x^{10} + 62834256 \, x^{9} + 8526168 \, x^{8} - 105313392 \, x^{7} + 99605088 \, x^{6} - 18897984 \, x^{5} - 42499296 \, x^{4} + 37357632 \, x^{3} - 8256960 \, x^{2} - \sqrt{3} {\left(265 \, x^{16} - 899 \, x^{15} - 15249 \, x^{14} - 837130 \, x^{13} + 2700776 \, x^{12} + 7304604 \, x^{11} - 32149640 \, x^{10} + 36277360 \, x^{9} + 4922568 \, x^{8} - 60802736 \, x^{7} + 57507040 \, x^{6} - 10910784 \, x^{5} - 24536992 \, x^{4} + 21568448 \, x^{3} - 4767168 \, x^{2} + 1207168 \, x + 1383424\right)} + 2090880 \, x + 2396160\right)} \sqrt{x^{3} + 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 6 \, {\left(\sqrt{3} {\left(4945 \, x^{15} - 37473 \, x^{14} - 490698 \, x^{13} + 2249468 \, x^{12} + 474132 \, x^{11} - 8423784 \, x^{10} + 5853520 \, x^{9} + 8451720 \, x^{8} - 15320016 \, x^{7} + 768064 \, x^{6} + 10405056 \, x^{5} - 6627744 \, x^{4} - 700480 \, x^{3} + 2799552 \, x^{2} - \sqrt{3} {\left(2855 \, x^{15} - 21635 \, x^{14} - 283306 \, x^{13} + 1298732 \, x^{12} + 273748 \, x^{11} - 4863472 \, x^{10} + 3379536 \, x^{9} + 4879608 \, x^{8} - 8845008 \, x^{7} + 443456 \, x^{6} + 6007360 \, x^{5} - 3826528 \, x^{4} - 404416 \, x^{3} + 1616320 \, x^{2} - 1003648 \, x - 399360\right)} - 1738368 \, x - 691712\right)} \sqrt{x^{3} + 1} {\left(56 \, \sqrt{3} + 97\right)} + 2 \, {\left(246 \, x^{15} - 3678 \, x^{14} - 13485 \, x^{13} + 102933 \, x^{12} - 70062 \, x^{11} - 81156 \, x^{10} + 45204 \, x^{9} - 129636 \, x^{8} + 243576 \, x^{7} - 221784 \, x^{6} - 351024 \, x^{5} + 460896 \, x^{4} + 33984 \, x^{3} - 174048 \, x^{2} - \sqrt{3} {\left(142 \, x^{15} - 2124 \, x^{14} - 7773 \, x^{13} + 59447 \, x^{12} - 40626 \, x^{11} - 46860 \, x^{10} + 26308 \, x^{9} - 75276 \, x^{8} + 140472 \, x^{7} - 127784 \, x^{6} - 202896 \, x^{5} + 266016 \, x^{4} + 19712 \, x^{3} - 100512 \, x^{2} + 62400 \, x + 24832\right)} + 108096 \, x + 43008\right)} \sqrt{x^{3} + 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} + 108 \, {\left(130 \, x^{16} - 1682 \, x^{15} + 2496 \, x^{14} + 7730 \, x^{13} + 1790 \, x^{12} - 35700 \, x^{11} - 7100 \, x^{10} + 86080 \, x^{9} - 49176 \, x^{8} - 100400 \, x^{7} + 108208 \, x^{6} + 33312 \, x^{5} - 80704 \, x^{4} + 18944 \, x^{3} + 18048 \, x^{2} - 3 \, \sqrt{3} {\left(25 \, x^{16} - 324 \, x^{15} + 489 \, x^{14} + 1482 \, x^{13} + 316 \, x^{12} - 6984 \, x^{11} - 1312 \, x^{10} + 16624 \, x^{9} - 9792 \, x^{8} - 19328 \, x^{7} + 20976 \, x^{6} + 6240 \, x^{5} - 15552 \, x^{4} + 3712 \, x^{3} + 3456 \, x^{2} - 4096 \, x - 1280\right)} - 21248 \, x - 6656\right)} \sqrt{56 \, \sqrt{3} + 97}\right)} \sqrt{\frac{9 \, x^{8} + 18 \, x^{7} + 414 \, x^{6} + 180 \, x^{5} + 360 \, x^{4} + 504 \, x^{3} - 72 \, x^{2} + 36 \, \sqrt{3} {\left(26 \, x^{7} + 38 \, x^{6} + 42 \, x^{5} + 46 \, x^{4} + 46 \, x^{3} + 42 \, x^{2} - \sqrt{3} {\left(15 \, x^{7} + 22 \, x^{6} + 24 \, x^{5} + 27 \, x^{4} + 26 \, x^{3} + 24 \, x^{2} + 12 \, x + 4\right)} + 20 \, x + 8\right)} \sqrt{56 \, \sqrt{3} + 97} - {\left(\sqrt{3} {\left(123 \, x^{6} + 2016 \, x^{5} + 2214 \, x^{4} + 2064 \, x^{3} + 396 \, x^{2} - \sqrt{3} {\left(71 \, x^{6} + 1164 \, x^{5} + 1278 \, x^{4} + 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{x^{3} + 1} \sqrt{56 \, \sqrt{3} + 97} + 6 \, {\left(5 \, x^{6} + 27 \, x^{5} + 48 \, x^{4} + 58 \, x^{3} + 36 \, x^{2} - 3 \, \sqrt{3} {\left(x^{6} + 5 \, x^{5} + 10 \, x^{4} + 10 \, x^{3} + 8 \, x^{2} + 4 \, x\right)} + 12 \, x + 8\right)} \sqrt{x^{3} + 1}\right)} \sqrt{\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} - 36 \, \sqrt{3} {\left(x^{7} + 4 \, x^{6} + 6 \, x^{5} + 5 \, x^{4} - 4 \, x^{3} + 6 \, x^{2} + 4 \, x - 8\right)} - 144 \, x + 576}{x^{8} - 4 \, x^{7} + 16 \, x^{6} - 16 \, x^{5} + 28 \, x^{4} + 32 \, x^{3} + 64 \, x^{2} + 32 \, x + 16}}}{324 \, {\left(x^{17} + 13 \, x^{16} - 522 \, x^{15} + 1742 \, x^{14} + 3008 \, x^{13} - 16884 \, x^{12} + 11656 \, x^{11} + 23944 \, x^{10} - 42336 \, x^{9} + 9136 \, x^{8} + 36256 \, x^{7} - 27360 \, x^{6} - 256 \, x^{5} + 13376 \, x^{4} - 5760 \, x^{3} - 1664 \, x^{2} + 256 \, x\right)}}\right) - \frac{1}{1296} \, \sqrt{\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6} {\left(\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} - 6\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} \log\left(\frac{9 \, x^{8} + 18 \, x^{7} + 414 \, x^{6} + 180 \, x^{5} + 360 \, x^{4} + 504 \, x^{3} - 72 \, x^{2} + 36 \, \sqrt{3} {\left(26 \, x^{7} + 38 \, x^{6} + 42 \, x^{5} + 46 \, x^{4} + 46 \, x^{3} + 42 \, x^{2} - \sqrt{3} {\left(15 \, x^{7} + 22 \, x^{6} + 24 \, x^{5} + 27 \, x^{4} + 26 \, x^{3} + 24 \, x^{2} + 12 \, x + 4\right)} + 20 \, x + 8\right)} \sqrt{56 \, \sqrt{3} + 97} + {\left(\sqrt{3} {\left(123 \, x^{6} + 2016 \, x^{5} + 2214 \, x^{4} + 2064 \, x^{3} + 396 \, x^{2} - \sqrt{3} {\left(71 \, x^{6} + 1164 \, x^{5} + 1278 \, x^{4} + 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{x^{3} + 1} \sqrt{56 \, \sqrt{3} + 97} + 6 \, {\left(5 \, x^{6} + 27 \, x^{5} + 48 \, x^{4} + 58 \, x^{3} + 36 \, x^{2} - 3 \, \sqrt{3} {\left(x^{6} + 5 \, x^{5} + 10 \, x^{4} + 10 \, x^{3} + 8 \, x^{2} + 4 \, x\right)} + 12 \, x + 8\right)} \sqrt{x^{3} + 1}\right)} \sqrt{\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} - 36 \, \sqrt{3} {\left(x^{7} + 4 \, x^{6} + 6 \, x^{5} + 5 \, x^{4} - 4 \, x^{3} + 6 \, x^{2} + 4 \, x - 8\right)} - 144 \, x + 576}{9 \, {\left(x^{8} - 4 \, x^{7} + 16 \, x^{6} - 16 \, x^{5} + 28 \, x^{4} + 32 \, x^{3} + 64 \, x^{2} + 32 \, x + 16\right)}}\right) + \frac{1}{1296} \, \sqrt{\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6} {\left(\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} - 6\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} \log\left(\frac{9 \, x^{8} + 18 \, x^{7} + 414 \, x^{6} + 180 \, x^{5} + 360 \, x^{4} + 504 \, x^{3} - 72 \, x^{2} + 36 \, \sqrt{3} {\left(26 \, x^{7} + 38 \, x^{6} + 42 \, x^{5} + 46 \, x^{4} + 46 \, x^{3} + 42 \, x^{2} - \sqrt{3} {\left(15 \, x^{7} + 22 \, x^{6} + 24 \, x^{5} + 27 \, x^{4} + 26 \, x^{3} + 24 \, x^{2} + 12 \, x + 4\right)} + 20 \, x + 8\right)} \sqrt{56 \, \sqrt{3} + 97} - {\left(\sqrt{3} {\left(123 \, x^{6} + 2016 \, x^{5} + 2214 \, x^{4} + 2064 \, x^{3} + 396 \, x^{2} - \sqrt{3} {\left(71 \, x^{6} + 1164 \, x^{5} + 1278 \, x^{4} + 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{x^{3} + 1} \sqrt{56 \, \sqrt{3} + 97} + 6 \, {\left(5 \, x^{6} + 27 \, x^{5} + 48 \, x^{4} + 58 \, x^{3} + 36 \, x^{2} - 3 \, \sqrt{3} {\left(x^{6} + 5 \, x^{5} + 10 \, x^{4} + 10 \, x^{3} + 8 \, x^{2} + 4 \, x\right)} + 12 \, x + 8\right)} \sqrt{x^{3} + 1}\right)} \sqrt{\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} - 36 \, \sqrt{3} {\left(x^{7} + 4 \, x^{6} + 6 \, x^{5} + 5 \, x^{4} - 4 \, x^{3} + 6 \, x^{2} + 4 \, x - 8\right)} - 144 \, x + 576}{9 \, {\left(x^{8} - 4 \, x^{7} + 16 \, x^{6} - 16 \, x^{5} + 28 \, x^{4} + 32 \, x^{3} + 64 \, x^{2} + 32 \, x + 16\right)}}\right) + \frac{1}{72} \, \sqrt{14 \, \sqrt{3} + 24} \log\left(\frac{x^{8} - 16 \, x^{7} + 112 \, x^{6} - 16 \, x^{5} + 112 \, x^{4} + 224 \, x^{3} + 64 \, x^{2} + 2 \, {\left(5 \, x^{6} - 54 \, x^{5} + 96 \, x^{4} - 56 \, x^{3} - 36 \, x^{2} - 3 \, \sqrt{3} {\left(x^{6} - 10 \, x^{5} + 20 \, x^{4} - 8 \, x^{3} - 4 \, x^{2} + 8 \, x\right)} + 24 \, x - 16\right)} \sqrt{x^{3} + 1} \sqrt{14 \, \sqrt{3} + 24} + 16 \, \sqrt{3} {\left(x^{7} - 2 \, x^{6} + 6 \, x^{5} + 5 \, x^{4} + 2 \, x^{3} + 6 \, x^{2} + 4 \, x + 4\right)} + 128 \, x + 112}{x^{8} + 8 \, x^{7} + 16 \, x^{6} - 16 \, x^{5} - 56 \, x^{4} + 32 \, x^{3} + 64 \, x^{2} - 64 \, x + 16}\right)"," ",0,"-1/108*sqrt(3)*sqrt(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*(672*sqrt(3) + 1164)^(1/4)*(56*sqrt(3) + 97)*(56*sqrt(3) - 97)*arctan(1/324*(216*sqrt(3)*(97*x^17 - 523*x^16 - 2171*x^15 + 27737*x^14 - 136013*x^13 + 345761*x^12 - 483752*x^11 + 26558*x^10 + 1051756*x^9 - 1656560*x^8 + 801584*x^7 + 1113424*x^6 - 1680688*x^5 + 911344*x^4 + 536192*x^3 - 535520*x^2 - 2*sqrt(3)*(28*x^17 - 151*x^16 - 626*x^15 + 8006*x^14 - 39266*x^13 + 99812*x^12 - 139652*x^11 + 7661*x^10 + 303610*x^9 - 478214*x^8 + 231392*x^7 + 321412*x^6 - 485176*x^5 + 263080*x^4 + 154784*x^3 - 154592*x^2 + 78464*x + 36544) + 271808*x + 126592)*(56*sqrt(3) + 97) - 36*sqrt(3)*(sqrt(3)*(2340*x^17 - 96354*x^16 + 84798*x^15 + 4817124*x^14 - 17052930*x^13 + 1941678*x^12 + 57963744*x^11 - 76603680*x^10 - 16678512*x^9 + 139922496*x^8 - 106227360*x^7 - 42453216*x^6 + 113269536*x^5 - 59694624*x^4 - 30025728*x^3 + 26496000*x^2 - sqrt(3)*(1351*x^17 - 55630*x^16 + 48958*x^15 + 2781167*x^14 - 9845510*x^13 + 1121030*x^12 + 33465376*x^11 - 44227144*x^10 - 9629336*x^9 + 80784280*x^8 - 61330384*x^7 - 24510368*x^6 + 65396192*x^5 - 34464704*x^4 - 17335360*x^3 + 15297472*x^2 - 7571584*x - 3526400) - 13114368*x - 6107904)*(56*sqrt(3) + 97) + 6*(97*x^17 - 523*x^16 - 2171*x^15 + 27737*x^14 - 136013*x^13 + 345761*x^12 - 483752*x^11 + 26558*x^10 + 1051756*x^9 - 1656560*x^8 + 801584*x^7 + 1113424*x^6 - 1680688*x^5 + 911344*x^4 + 536192*x^3 - 535520*x^2 - 2*sqrt(3)*(28*x^17 - 151*x^16 - 626*x^15 + 8006*x^14 - 39266*x^13 + 99812*x^12 - 139652*x^11 + 7661*x^10 + 303610*x^9 - 478214*x^8 + 231392*x^7 + 321412*x^6 - 485176*x^5 + 263080*x^4 + 154784*x^3 - 154592*x^2 + 78464*x + 36544) + 271808*x + 126592)*sqrt(56*sqrt(3) + 97))*sqrt(56*sqrt(3) + 97) + 3*sqrt(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*((2*sqrt(3)*(3691*x^16 - 6128*x^15 - 537864*x^14 + 1586477*x^13 + 16210952*x^12 - 77181756*x^11 + 84218362*x^10 + 71018320*x^9 - 254455812*x^8 + 196076008*x^7 + 120105208*x^6 - 256326864*x^5 + 134645168*x^4 + 78464672*x^3 - 78514944*x^2 - sqrt(3)*(2131*x^16 - 3538*x^15 - 310536*x^14 + 915953*x^13 + 9359398*x^12 - 44560908*x^11 + 48623494*x^10 + 41002448*x^9 - 146910132*x^8 + 113204536*x^7 + 69342776*x^6 - 147990384*x^5 + 77737424*x^4 + 45301600*x^3 - 45330624*x^2 + 12242560*x + 7598336) + 21204736*x + 13160704)*sqrt(x^3 + 1)*(56*sqrt(3) + 97) + (459*x^16 - 13425*x^15 - 33201*x^14 + 950652*x^13 - 997302*x^12 - 14760972*x^11 + 47069892*x^10 - 49762248*x^9 - 8212536*x^8 + 84377808*x^7 - 88427328*x^6 + 25613856*x^5 + 27458496*x^4 - 36433344*x^3 + 12609792*x^2 - sqrt(3)*(265*x^16 - 7751*x^15 - 19167*x^14 + 548864*x^13 - 575818*x^12 - 8522268*x^11 + 27175852*x^10 - 28730312*x^9 - 4741560*x^8 + 48715600*x^7 - 51053600*x^6 + 14788128*x^5 + 15853184*x^4 - 21034816*x^3 + 7280256*x^2 - 2488832*x - 1889792) - 4310784*x - 3273216)*sqrt(x^3 + 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(3/4) + 6*(sqrt(3)*(4945*x^15 - 88617*x^14 + 738528*x^13 - 1860046*x^12 - 784596*x^11 + 7668708*x^10 - 6570680*x^9 - 6903864*x^8 + 15444144*x^7 - 4312832*x^6 - 9559200*x^5 + 9359808*x^4 - 155968*x^3 - 3016704*x^2 - sqrt(3)*(2855*x^15 - 51163*x^14 + 426388*x^13 - 1073898*x^12 - 452980*x^11 + 4427548*x^10 - 3793592*x^9 - 3985944*x^8 + 8916720*x^7 - 2490016*x^6 - 5519008*x^5 + 5403904*x^4 - 90048*x^3 - 1741696*x^2 + 1543936*x + 545536) + 2674176*x + 944896)*sqrt(x^3 + 1)*(56*sqrt(3) + 97) + 2*(246*x^15 - 7653*x^14 + 41169*x^13 - 51342*x^12 - 72300*x^11 + 45930*x^10 + 221688*x^9 - 17892*x^8 - 490248*x^7 + 462360*x^6 + 389616*x^5 - 619728*x^4 + 16608*x^3 + 187584*x^2 - sqrt(3)*(142*x^15 - 4419*x^14 + 23781*x^13 - 29608*x^12 - 41940*x^11 + 26454*x^10 + 128152*x^9 - 10692*x^8 - 283320*x^7 + 267064*x^6 + 224784*x^5 - 357936*x^4 + 9632*x^3 + 108288*x^2 - 96000*x - 33920) - 166272*x - 58752)*sqrt(x^3 + 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(1/4)) + 108*(12*x^17 - 498*x^16 + 462*x^15 + 24972*x^14 - 88530*x^13 + 9726*x^12 + 300000*x^11 - 396768*x^10 - 87216*x^9 + 723072*x^8 - 549408*x^7 - 220128*x^6 + 584736*x^5 - 308256*x^4 - 155136*x^3 + 136704*x^2 - sqrt(3)*(7*x^17 - 286*x^16 + 238*x^15 + 14255*x^14 - 50390*x^13 + 5942*x^12 + 171808*x^11 - 226888*x^10 - 48920*x^9 + 415384*x^8 - 315088*x^7 - 125600*x^6 + 336608*x^5 - 177344*x^4 - 89152*x^3 + 78784*x^2 - 39040*x - 18176) - 67584*x - 31488)*sqrt(56*sqrt(3) + 97) + (144*sqrt(3)*(627*x^16 - 14286*x^15 + 39762*x^14 + 50142*x^13 - 216816*x^12 + 112284*x^11 + 325707*x^10 - 586326*x^9 - 3294*x^8 + 631752*x^7 - 539220*x^6 - 184392*x^5 + 483816*x^4 - 115296*x^3 - 108576*x^2 - 2*sqrt(3)*(181*x^16 - 4124*x^15 + 11478*x^14 + 14474*x^13 - 62584*x^12 + 32412*x^11 + 94021*x^10 - 169244*x^9 - 954*x^8 + 182368*x^7 - 155648*x^6 - 53232*x^5 + 139664*x^4 - 33280*x^3 - 31344*x^2 + 37024*x + 11584) + 128256*x + 40128)*(56*sqrt(3) + 97) + 12*sqrt(3)*(sqrt(3)*(2340*x^17 - 35850*x^16 - 106410*x^15 - 2064744*x^14 + 11945946*x^13 - 1710042*x^12 - 46293732*x^11 + 59161524*x^10 + 18480192*x^9 - 122366520*x^8 + 81203856*x^7 + 45222000*x^6 - 100598112*x^5 + 42207168*x^4 + 29609472*x^3 - 22458240*x^2 - sqrt(3)*(1351*x^17 - 20698*x^16 - 61436*x^15 - 1192081*x^14 + 6896998*x^13 - 987292*x^12 - 26727704*x^11 + 34156928*x^10 + 10669552*x^9 - 70648352*x^8 + 46883072*x^7 + 26108944*x^6 - 58080352*x^5 + 24368320*x^4 + 17095040*x^3 - 12966272*x^2 + 4724480*x + 2581504) + 8183040*x + 4471296)*(56*sqrt(3) + 97) + 6*(97*x^17 + 104*x^16 - 20510*x^15 + 43181*x^14 + 217294*x^13 - 691762*x^12 + 584800*x^11 + 521510*x^10 - 1780028*x^9 + 1416580*x^8 + 80528*x^7 - 1518056*x^6 + 1321712*x^5 - 393392*x^4 - 501952*x^3 + 446848*x^2 - 4*sqrt(3)*(14*x^17 + 15*x^16 - 2960*x^15 + 6232*x^14 + 31362*x^13 - 99844*x^12 + 84404*x^11 + 75267*x^10 - 256916*x^9 + 204458*x^8 + 11616*x^7 - 219104*x^6 + 190768*x^5 - 56784*x^4 - 72448*x^3 + 64496*x^2 - 24480*x - 13376) - 169600*x - 92672)*sqrt(56*sqrt(3) + 97))*sqrt(56*sqrt(3) + 97) - sqrt(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*((2*sqrt(3)*(3691*x^16 + 17731*x^15 - 951114*x^14 + 450359*x^13 + 4370159*x^12 + 30318522*x^11 - 78096668*x^10 + 9429316*x^9 + 146877876*x^8 - 197107784*x^7 - 30834152*x^6 + 185125776*x^5 - 132260896*x^4 - 45545344*x^3 + 69517536*x^2 - sqrt(3)*(2131*x^16 + 10237*x^15 - 549126*x^14 + 260015*x^13 + 2523113*x^12 + 17504406*x^11 - 45089132*x^10 + 5444020*x^9 + 84799980*x^8 - 113800232*x^7 - 17802104*x^6 + 106882416*x^5 - 76360864*x^4 - 26295616*x^3 + 40135968*x^2 - 7907648*x - 5562368) - 13696448*x - 9634304)*sqrt(x^3 + 1)*(56*sqrt(3) + 97) + (459*x^16 - 1557*x^15 - 26415*x^14 - 1449954*x^13 + 4677912*x^12 + 12651948*x^11 - 55684800*x^10 + 62834256*x^9 + 8526168*x^8 - 105313392*x^7 + 99605088*x^6 - 18897984*x^5 - 42499296*x^4 + 37357632*x^3 - 8256960*x^2 - sqrt(3)*(265*x^16 - 899*x^15 - 15249*x^14 - 837130*x^13 + 2700776*x^12 + 7304604*x^11 - 32149640*x^10 + 36277360*x^9 + 4922568*x^8 - 60802736*x^7 + 57507040*x^6 - 10910784*x^5 - 24536992*x^4 + 21568448*x^3 - 4767168*x^2 + 1207168*x + 1383424) + 2090880*x + 2396160)*sqrt(x^3 + 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(3/4) + 6*(sqrt(3)*(4945*x^15 - 37473*x^14 - 490698*x^13 + 2249468*x^12 + 474132*x^11 - 8423784*x^10 + 5853520*x^9 + 8451720*x^8 - 15320016*x^7 + 768064*x^6 + 10405056*x^5 - 6627744*x^4 - 700480*x^3 + 2799552*x^2 - sqrt(3)*(2855*x^15 - 21635*x^14 - 283306*x^13 + 1298732*x^12 + 273748*x^11 - 4863472*x^10 + 3379536*x^9 + 4879608*x^8 - 8845008*x^7 + 443456*x^6 + 6007360*x^5 - 3826528*x^4 - 404416*x^3 + 1616320*x^2 - 1003648*x - 399360) - 1738368*x - 691712)*sqrt(x^3 + 1)*(56*sqrt(3) + 97) + 2*(246*x^15 - 3678*x^14 - 13485*x^13 + 102933*x^12 - 70062*x^11 - 81156*x^10 + 45204*x^9 - 129636*x^8 + 243576*x^7 - 221784*x^6 - 351024*x^5 + 460896*x^4 + 33984*x^3 - 174048*x^2 - sqrt(3)*(142*x^15 - 2124*x^14 - 7773*x^13 + 59447*x^12 - 40626*x^11 - 46860*x^10 + 26308*x^9 - 75276*x^8 + 140472*x^7 - 127784*x^6 - 202896*x^5 + 266016*x^4 + 19712*x^3 - 100512*x^2 + 62400*x + 24832) + 108096*x + 43008)*sqrt(x^3 + 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(1/4)) + 108*(130*x^16 - 1682*x^15 + 2496*x^14 + 7730*x^13 + 1790*x^12 - 35700*x^11 - 7100*x^10 + 86080*x^9 - 49176*x^8 - 100400*x^7 + 108208*x^6 + 33312*x^5 - 80704*x^4 + 18944*x^3 + 18048*x^2 - 3*sqrt(3)*(25*x^16 - 324*x^15 + 489*x^14 + 1482*x^13 + 316*x^12 - 6984*x^11 - 1312*x^10 + 16624*x^9 - 9792*x^8 - 19328*x^7 + 20976*x^6 + 6240*x^5 - 15552*x^4 + 3712*x^3 + 3456*x^2 - 4096*x - 1280) - 21248*x - 6656)*sqrt(56*sqrt(3) + 97))*sqrt((9*x^8 + 18*x^7 + 414*x^6 + 180*x^5 + 360*x^4 + 504*x^3 - 72*x^2 + 36*sqrt(3)*(26*x^7 + 38*x^6 + 42*x^5 + 46*x^4 + 46*x^3 + 42*x^2 - sqrt(3)*(15*x^7 + 22*x^6 + 24*x^5 + 27*x^4 + 26*x^3 + 24*x^2 + 12*x + 4) + 20*x + 8)*sqrt(56*sqrt(3) + 97) + (sqrt(3)*(123*x^6 + 2016*x^5 + 2214*x^4 + 2064*x^3 + 396*x^2 - sqrt(3)*(71*x^6 + 1164*x^5 + 1278*x^4 + 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(x^3 + 1)*sqrt(56*sqrt(3) + 97) + 6*(5*x^6 + 27*x^5 + 48*x^4 + 58*x^3 + 36*x^2 - 3*sqrt(3)*(x^6 + 5*x^5 + 10*x^4 + 10*x^3 + 8*x^2 + 4*x) + 12*x + 8)*sqrt(x^3 + 1))*sqrt(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*(672*sqrt(3) + 1164)^(1/4) - 36*sqrt(3)*(x^7 + 4*x^6 + 6*x^5 + 5*x^4 - 4*x^3 + 6*x^2 + 4*x - 8) - 144*x + 576)/(x^8 - 4*x^7 + 16*x^6 - 16*x^5 + 28*x^4 + 32*x^3 + 64*x^2 + 32*x + 16)))/(x^17 + 13*x^16 - 522*x^15 + 1742*x^14 + 3008*x^13 - 16884*x^12 + 11656*x^11 + 23944*x^10 - 42336*x^9 + 9136*x^8 + 36256*x^7 - 27360*x^6 - 256*x^5 + 13376*x^4 - 5760*x^3 - 1664*x^2 + 256*x)) - 1/108*sqrt(3)*sqrt(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*(672*sqrt(3) + 1164)^(1/4)*(56*sqrt(3) + 97)*(56*sqrt(3) - 97)*arctan(-1/324*(216*sqrt(3)*(97*x^17 - 523*x^16 - 2171*x^15 + 27737*x^14 - 136013*x^13 + 345761*x^12 - 483752*x^11 + 26558*x^10 + 1051756*x^9 - 1656560*x^8 + 801584*x^7 + 1113424*x^6 - 1680688*x^5 + 911344*x^4 + 536192*x^3 - 535520*x^2 - 2*sqrt(3)*(28*x^17 - 151*x^16 - 626*x^15 + 8006*x^14 - 39266*x^13 + 99812*x^12 - 139652*x^11 + 7661*x^10 + 303610*x^9 - 478214*x^8 + 231392*x^7 + 321412*x^6 - 485176*x^5 + 263080*x^4 + 154784*x^3 - 154592*x^2 + 78464*x + 36544) + 271808*x + 126592)*(56*sqrt(3) + 97) - 36*sqrt(3)*(sqrt(3)*(2340*x^17 - 96354*x^16 + 84798*x^15 + 4817124*x^14 - 17052930*x^13 + 1941678*x^12 + 57963744*x^11 - 76603680*x^10 - 16678512*x^9 + 139922496*x^8 - 106227360*x^7 - 42453216*x^6 + 113269536*x^5 - 59694624*x^4 - 30025728*x^3 + 26496000*x^2 - sqrt(3)*(1351*x^17 - 55630*x^16 + 48958*x^15 + 2781167*x^14 - 9845510*x^13 + 1121030*x^12 + 33465376*x^11 - 44227144*x^10 - 9629336*x^9 + 80784280*x^8 - 61330384*x^7 - 24510368*x^6 + 65396192*x^5 - 34464704*x^4 - 17335360*x^3 + 15297472*x^2 - 7571584*x - 3526400) - 13114368*x - 6107904)*(56*sqrt(3) + 97) + 6*(97*x^17 - 523*x^16 - 2171*x^15 + 27737*x^14 - 136013*x^13 + 345761*x^12 - 483752*x^11 + 26558*x^10 + 1051756*x^9 - 1656560*x^8 + 801584*x^7 + 1113424*x^6 - 1680688*x^5 + 911344*x^4 + 536192*x^3 - 535520*x^2 - 2*sqrt(3)*(28*x^17 - 151*x^16 - 626*x^15 + 8006*x^14 - 39266*x^13 + 99812*x^12 - 139652*x^11 + 7661*x^10 + 303610*x^9 - 478214*x^8 + 231392*x^7 + 321412*x^6 - 485176*x^5 + 263080*x^4 + 154784*x^3 - 154592*x^2 + 78464*x + 36544) + 271808*x + 126592)*sqrt(56*sqrt(3) + 97))*sqrt(56*sqrt(3) + 97) - 3*sqrt(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*((2*sqrt(3)*(3691*x^16 - 6128*x^15 - 537864*x^14 + 1586477*x^13 + 16210952*x^12 - 77181756*x^11 + 84218362*x^10 + 71018320*x^9 - 254455812*x^8 + 196076008*x^7 + 120105208*x^6 - 256326864*x^5 + 134645168*x^4 + 78464672*x^3 - 78514944*x^2 - sqrt(3)*(2131*x^16 - 3538*x^15 - 310536*x^14 + 915953*x^13 + 9359398*x^12 - 44560908*x^11 + 48623494*x^10 + 41002448*x^9 - 146910132*x^8 + 113204536*x^7 + 69342776*x^6 - 147990384*x^5 + 77737424*x^4 + 45301600*x^3 - 45330624*x^2 + 12242560*x + 7598336) + 21204736*x + 13160704)*sqrt(x^3 + 1)*(56*sqrt(3) + 97) + (459*x^16 - 13425*x^15 - 33201*x^14 + 950652*x^13 - 997302*x^12 - 14760972*x^11 + 47069892*x^10 - 49762248*x^9 - 8212536*x^8 + 84377808*x^7 - 88427328*x^6 + 25613856*x^5 + 27458496*x^4 - 36433344*x^3 + 12609792*x^2 - sqrt(3)*(265*x^16 - 7751*x^15 - 19167*x^14 + 548864*x^13 - 575818*x^12 - 8522268*x^11 + 27175852*x^10 - 28730312*x^9 - 4741560*x^8 + 48715600*x^7 - 51053600*x^6 + 14788128*x^5 + 15853184*x^4 - 21034816*x^3 + 7280256*x^2 - 2488832*x - 1889792) - 4310784*x - 3273216)*sqrt(x^3 + 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(3/4) + 6*(sqrt(3)*(4945*x^15 - 88617*x^14 + 738528*x^13 - 1860046*x^12 - 784596*x^11 + 7668708*x^10 - 6570680*x^9 - 6903864*x^8 + 15444144*x^7 - 4312832*x^6 - 9559200*x^5 + 9359808*x^4 - 155968*x^3 - 3016704*x^2 - sqrt(3)*(2855*x^15 - 51163*x^14 + 426388*x^13 - 1073898*x^12 - 452980*x^11 + 4427548*x^10 - 3793592*x^9 - 3985944*x^8 + 8916720*x^7 - 2490016*x^6 - 5519008*x^5 + 5403904*x^4 - 90048*x^3 - 1741696*x^2 + 1543936*x + 545536) + 2674176*x + 944896)*sqrt(x^3 + 1)*(56*sqrt(3) + 97) + 2*(246*x^15 - 7653*x^14 + 41169*x^13 - 51342*x^12 - 72300*x^11 + 45930*x^10 + 221688*x^9 - 17892*x^8 - 490248*x^7 + 462360*x^6 + 389616*x^5 - 619728*x^4 + 16608*x^3 + 187584*x^2 - sqrt(3)*(142*x^15 - 4419*x^14 + 23781*x^13 - 29608*x^12 - 41940*x^11 + 26454*x^10 + 128152*x^9 - 10692*x^8 - 283320*x^7 + 267064*x^6 + 224784*x^5 - 357936*x^4 + 9632*x^3 + 108288*x^2 - 96000*x - 33920) - 166272*x - 58752)*sqrt(x^3 + 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(1/4)) + 108*(12*x^17 - 498*x^16 + 462*x^15 + 24972*x^14 - 88530*x^13 + 9726*x^12 + 300000*x^11 - 396768*x^10 - 87216*x^9 + 723072*x^8 - 549408*x^7 - 220128*x^6 + 584736*x^5 - 308256*x^4 - 155136*x^3 + 136704*x^2 - sqrt(3)*(7*x^17 - 286*x^16 + 238*x^15 + 14255*x^14 - 50390*x^13 + 5942*x^12 + 171808*x^11 - 226888*x^10 - 48920*x^9 + 415384*x^8 - 315088*x^7 - 125600*x^6 + 336608*x^5 - 177344*x^4 - 89152*x^3 + 78784*x^2 - 39040*x - 18176) - 67584*x - 31488)*sqrt(56*sqrt(3) + 97) + (144*sqrt(3)*(627*x^16 - 14286*x^15 + 39762*x^14 + 50142*x^13 - 216816*x^12 + 112284*x^11 + 325707*x^10 - 586326*x^9 - 3294*x^8 + 631752*x^7 - 539220*x^6 - 184392*x^5 + 483816*x^4 - 115296*x^3 - 108576*x^2 - 2*sqrt(3)*(181*x^16 - 4124*x^15 + 11478*x^14 + 14474*x^13 - 62584*x^12 + 32412*x^11 + 94021*x^10 - 169244*x^9 - 954*x^8 + 182368*x^7 - 155648*x^6 - 53232*x^5 + 139664*x^4 - 33280*x^3 - 31344*x^2 + 37024*x + 11584) + 128256*x + 40128)*(56*sqrt(3) + 97) + 12*sqrt(3)*(sqrt(3)*(2340*x^17 - 35850*x^16 - 106410*x^15 - 2064744*x^14 + 11945946*x^13 - 1710042*x^12 - 46293732*x^11 + 59161524*x^10 + 18480192*x^9 - 122366520*x^8 + 81203856*x^7 + 45222000*x^6 - 100598112*x^5 + 42207168*x^4 + 29609472*x^3 - 22458240*x^2 - sqrt(3)*(1351*x^17 - 20698*x^16 - 61436*x^15 - 1192081*x^14 + 6896998*x^13 - 987292*x^12 - 26727704*x^11 + 34156928*x^10 + 10669552*x^9 - 70648352*x^8 + 46883072*x^7 + 26108944*x^6 - 58080352*x^5 + 24368320*x^4 + 17095040*x^3 - 12966272*x^2 + 4724480*x + 2581504) + 8183040*x + 4471296)*(56*sqrt(3) + 97) + 6*(97*x^17 + 104*x^16 - 20510*x^15 + 43181*x^14 + 217294*x^13 - 691762*x^12 + 584800*x^11 + 521510*x^10 - 1780028*x^9 + 1416580*x^8 + 80528*x^7 - 1518056*x^6 + 1321712*x^5 - 393392*x^4 - 501952*x^3 + 446848*x^2 - 4*sqrt(3)*(14*x^17 + 15*x^16 - 2960*x^15 + 6232*x^14 + 31362*x^13 - 99844*x^12 + 84404*x^11 + 75267*x^10 - 256916*x^9 + 204458*x^8 + 11616*x^7 - 219104*x^6 + 190768*x^5 - 56784*x^4 - 72448*x^3 + 64496*x^2 - 24480*x - 13376) - 169600*x - 92672)*sqrt(56*sqrt(3) + 97))*sqrt(56*sqrt(3) + 97) + sqrt(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*((2*sqrt(3)*(3691*x^16 + 17731*x^15 - 951114*x^14 + 450359*x^13 + 4370159*x^12 + 30318522*x^11 - 78096668*x^10 + 9429316*x^9 + 146877876*x^8 - 197107784*x^7 - 30834152*x^6 + 185125776*x^5 - 132260896*x^4 - 45545344*x^3 + 69517536*x^2 - sqrt(3)*(2131*x^16 + 10237*x^15 - 549126*x^14 + 260015*x^13 + 2523113*x^12 + 17504406*x^11 - 45089132*x^10 + 5444020*x^9 + 84799980*x^8 - 113800232*x^7 - 17802104*x^6 + 106882416*x^5 - 76360864*x^4 - 26295616*x^3 + 40135968*x^2 - 7907648*x - 5562368) - 13696448*x - 9634304)*sqrt(x^3 + 1)*(56*sqrt(3) + 97) + (459*x^16 - 1557*x^15 - 26415*x^14 - 1449954*x^13 + 4677912*x^12 + 12651948*x^11 - 55684800*x^10 + 62834256*x^9 + 8526168*x^8 - 105313392*x^7 + 99605088*x^6 - 18897984*x^5 - 42499296*x^4 + 37357632*x^3 - 8256960*x^2 - sqrt(3)*(265*x^16 - 899*x^15 - 15249*x^14 - 837130*x^13 + 2700776*x^12 + 7304604*x^11 - 32149640*x^10 + 36277360*x^9 + 4922568*x^8 - 60802736*x^7 + 57507040*x^6 - 10910784*x^5 - 24536992*x^4 + 21568448*x^3 - 4767168*x^2 + 1207168*x + 1383424) + 2090880*x + 2396160)*sqrt(x^3 + 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(3/4) + 6*(sqrt(3)*(4945*x^15 - 37473*x^14 - 490698*x^13 + 2249468*x^12 + 474132*x^11 - 8423784*x^10 + 5853520*x^9 + 8451720*x^8 - 15320016*x^7 + 768064*x^6 + 10405056*x^5 - 6627744*x^4 - 700480*x^3 + 2799552*x^2 - sqrt(3)*(2855*x^15 - 21635*x^14 - 283306*x^13 + 1298732*x^12 + 273748*x^11 - 4863472*x^10 + 3379536*x^9 + 4879608*x^8 - 8845008*x^7 + 443456*x^6 + 6007360*x^5 - 3826528*x^4 - 404416*x^3 + 1616320*x^2 - 1003648*x - 399360) - 1738368*x - 691712)*sqrt(x^3 + 1)*(56*sqrt(3) + 97) + 2*(246*x^15 - 3678*x^14 - 13485*x^13 + 102933*x^12 - 70062*x^11 - 81156*x^10 + 45204*x^9 - 129636*x^8 + 243576*x^7 - 221784*x^6 - 351024*x^5 + 460896*x^4 + 33984*x^3 - 174048*x^2 - sqrt(3)*(142*x^15 - 2124*x^14 - 7773*x^13 + 59447*x^12 - 40626*x^11 - 46860*x^10 + 26308*x^9 - 75276*x^8 + 140472*x^7 - 127784*x^6 - 202896*x^5 + 266016*x^4 + 19712*x^3 - 100512*x^2 + 62400*x + 24832) + 108096*x + 43008)*sqrt(x^3 + 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(1/4)) + 108*(130*x^16 - 1682*x^15 + 2496*x^14 + 7730*x^13 + 1790*x^12 - 35700*x^11 - 7100*x^10 + 86080*x^9 - 49176*x^8 - 100400*x^7 + 108208*x^6 + 33312*x^5 - 80704*x^4 + 18944*x^3 + 18048*x^2 - 3*sqrt(3)*(25*x^16 - 324*x^15 + 489*x^14 + 1482*x^13 + 316*x^12 - 6984*x^11 - 1312*x^10 + 16624*x^9 - 9792*x^8 - 19328*x^7 + 20976*x^6 + 6240*x^5 - 15552*x^4 + 3712*x^3 + 3456*x^2 - 4096*x - 1280) - 21248*x - 6656)*sqrt(56*sqrt(3) + 97))*sqrt((9*x^8 + 18*x^7 + 414*x^6 + 180*x^5 + 360*x^4 + 504*x^3 - 72*x^2 + 36*sqrt(3)*(26*x^7 + 38*x^6 + 42*x^5 + 46*x^4 + 46*x^3 + 42*x^2 - sqrt(3)*(15*x^7 + 22*x^6 + 24*x^5 + 27*x^4 + 26*x^3 + 24*x^2 + 12*x + 4) + 20*x + 8)*sqrt(56*sqrt(3) + 97) - (sqrt(3)*(123*x^6 + 2016*x^5 + 2214*x^4 + 2064*x^3 + 396*x^2 - sqrt(3)*(71*x^6 + 1164*x^5 + 1278*x^4 + 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(x^3 + 1)*sqrt(56*sqrt(3) + 97) + 6*(5*x^6 + 27*x^5 + 48*x^4 + 58*x^3 + 36*x^2 - 3*sqrt(3)*(x^6 + 5*x^5 + 10*x^4 + 10*x^3 + 8*x^2 + 4*x) + 12*x + 8)*sqrt(x^3 + 1))*sqrt(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*(672*sqrt(3) + 1164)^(1/4) - 36*sqrt(3)*(x^7 + 4*x^6 + 6*x^5 + 5*x^4 - 4*x^3 + 6*x^2 + 4*x - 8) - 144*x + 576)/(x^8 - 4*x^7 + 16*x^6 - 16*x^5 + 28*x^4 + 32*x^3 + 64*x^2 + 32*x + 16)))/(x^17 + 13*x^16 - 522*x^15 + 1742*x^14 + 3008*x^13 - 16884*x^12 + 11656*x^11 + 23944*x^10 - 42336*x^9 + 9136*x^8 + 36256*x^7 - 27360*x^6 - 256*x^5 + 13376*x^4 - 5760*x^3 - 1664*x^2 + 256*x)) - 1/1296*sqrt(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) - 6)*(672*sqrt(3) + 1164)^(1/4)*log(1/9*(9*x^8 + 18*x^7 + 414*x^6 + 180*x^5 + 360*x^4 + 504*x^3 - 72*x^2 + 36*sqrt(3)*(26*x^7 + 38*x^6 + 42*x^5 + 46*x^4 + 46*x^3 + 42*x^2 - sqrt(3)*(15*x^7 + 22*x^6 + 24*x^5 + 27*x^4 + 26*x^3 + 24*x^2 + 12*x + 4) + 20*x + 8)*sqrt(56*sqrt(3) + 97) + (sqrt(3)*(123*x^6 + 2016*x^5 + 2214*x^4 + 2064*x^3 + 396*x^2 - sqrt(3)*(71*x^6 + 1164*x^5 + 1278*x^4 + 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(x^3 + 1)*sqrt(56*sqrt(3) + 97) + 6*(5*x^6 + 27*x^5 + 48*x^4 + 58*x^3 + 36*x^2 - 3*sqrt(3)*(x^6 + 5*x^5 + 10*x^4 + 10*x^3 + 8*x^2 + 4*x) + 12*x + 8)*sqrt(x^3 + 1))*sqrt(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*(672*sqrt(3) + 1164)^(1/4) - 36*sqrt(3)*(x^7 + 4*x^6 + 6*x^5 + 5*x^4 - 4*x^3 + 6*x^2 + 4*x - 8) - 144*x + 576)/(x^8 - 4*x^7 + 16*x^6 - 16*x^5 + 28*x^4 + 32*x^3 + 64*x^2 + 32*x + 16)) + 1/1296*sqrt(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) - 6)*(672*sqrt(3) + 1164)^(1/4)*log(1/9*(9*x^8 + 18*x^7 + 414*x^6 + 180*x^5 + 360*x^4 + 504*x^3 - 72*x^2 + 36*sqrt(3)*(26*x^7 + 38*x^6 + 42*x^5 + 46*x^4 + 46*x^3 + 42*x^2 - sqrt(3)*(15*x^7 + 22*x^6 + 24*x^5 + 27*x^4 + 26*x^3 + 24*x^2 + 12*x + 4) + 20*x + 8)*sqrt(56*sqrt(3) + 97) - (sqrt(3)*(123*x^6 + 2016*x^5 + 2214*x^4 + 2064*x^3 + 396*x^2 - sqrt(3)*(71*x^6 + 1164*x^5 + 1278*x^4 + 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(x^3 + 1)*sqrt(56*sqrt(3) + 97) + 6*(5*x^6 + 27*x^5 + 48*x^4 + 58*x^3 + 36*x^2 - 3*sqrt(3)*(x^6 + 5*x^5 + 10*x^4 + 10*x^3 + 8*x^2 + 4*x) + 12*x + 8)*sqrt(x^3 + 1))*sqrt(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*(672*sqrt(3) + 1164)^(1/4) - 36*sqrt(3)*(x^7 + 4*x^6 + 6*x^5 + 5*x^4 - 4*x^3 + 6*x^2 + 4*x - 8) - 144*x + 576)/(x^8 - 4*x^7 + 16*x^6 - 16*x^5 + 28*x^4 + 32*x^3 + 64*x^2 + 32*x + 16)) + 1/72*sqrt(14*sqrt(3) + 24)*log((x^8 - 16*x^7 + 112*x^6 - 16*x^5 + 112*x^4 + 224*x^3 + 64*x^2 + 2*(5*x^6 - 54*x^5 + 96*x^4 - 56*x^3 - 36*x^2 - 3*sqrt(3)*(x^6 - 10*x^5 + 20*x^4 - 8*x^3 - 4*x^2 + 8*x) + 24*x - 16)*sqrt(x^3 + 1)*sqrt(14*sqrt(3) + 24) + 16*sqrt(3)*(x^7 - 2*x^6 + 6*x^5 + 5*x^4 + 2*x^3 + 6*x^2 + 4*x + 4) + 128*x + 112)/(x^8 + 8*x^7 + 16*x^6 - 16*x^5 - 56*x^4 + 32*x^3 + 64*x^2 - 64*x + 16))","B",0
88,1,7910,0,14.522376," ","integrate(x/(-10+x^3-6*3^(1/2))/(x^3-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{432} \, \sqrt{2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(56 \, \sqrt{3} + 97\right)} \sqrt{-56 \, \sqrt{3} + 97} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} \arctan\left(\frac{6 \, \sqrt{x^{3} - 1} {\left({\left(459 \, x^{16} + 13425 \, x^{15} - 33201 \, x^{14} - 950652 \, x^{13} - 997302 \, x^{12} + 14760972 \, x^{11} + 47069892 \, x^{10} + 49762248 \, x^{9} - 8212536 \, x^{8} - 84377808 \, x^{7} - 88427328 \, x^{6} - 25613856 \, x^{5} + 27458496 \, x^{4} + 36433344 \, x^{3} + 12609792 \, x^{2} + \sqrt{3} {\left(265 \, x^{16} + 7751 \, x^{15} - 19167 \, x^{14} - 548864 \, x^{13} - 575818 \, x^{12} + 8522268 \, x^{11} + 27175852 \, x^{10} + 28730312 \, x^{9} - 4741560 \, x^{8} - 48715600 \, x^{7} - 51053600 \, x^{6} - 14788128 \, x^{5} + 15853184 \, x^{4} + 21034816 \, x^{3} + 7280256 \, x^{2} + 2488832 \, x - 1889792\right)} - {\left(3691 \, x^{16} + 6128 \, x^{15} - 537864 \, x^{14} - 1586477 \, x^{13} + 16210952 \, x^{12} + 77181756 \, x^{11} + 84218362 \, x^{10} - 71018320 \, x^{9} - 254455812 \, x^{8} - 196076008 \, x^{7} + 120105208 \, x^{6} + 256326864 \, x^{5} + 134645168 \, x^{4} - 78464672 \, x^{3} - 78514944 \, x^{2} + \sqrt{3} {\left(2131 \, x^{16} + 3538 \, x^{15} - 310536 \, x^{14} - 915953 \, x^{13} + 9359398 \, x^{12} + 44560908 \, x^{11} + 48623494 \, x^{10} - 41002448 \, x^{9} - 146910132 \, x^{8} - 113204536 \, x^{7} + 69342776 \, x^{6} + 147990384 \, x^{5} + 77737424 \, x^{4} - 45301600 \, x^{3} - 45330624 \, x^{2} - 12242560 \, x + 7598336\right)} - 21204736 \, x + 13160704\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 4310784 \, x - 3273216\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 3 \, {\left(984 \, x^{15} + 30612 \, x^{14} + 164676 \, x^{13} + 205368 \, x^{12} - 289200 \, x^{11} - 183720 \, x^{10} + 886752 \, x^{9} + 71568 \, x^{8} - 1960992 \, x^{7} - 1849440 \, x^{6} + 1558464 \, x^{5} + 2478912 \, x^{4} + 66432 \, x^{3} - 750336 \, x^{2} + 4 \, \sqrt{3} {\left(142 \, x^{15} + 4419 \, x^{14} + 23781 \, x^{13} + 29608 \, x^{12} - 41940 \, x^{11} - 26454 \, x^{10} + 128152 \, x^{9} + 10692 \, x^{8} - 283320 \, x^{7} - 267064 \, x^{6} + 224784 \, x^{5} + 357936 \, x^{4} + 9632 \, x^{3} - 108288 \, x^{2} - 96000 \, x + 33920\right)} - {\left(4945 \, x^{15} + 88617 \, x^{14} + 738528 \, x^{13} + 1860046 \, x^{12} - 784596 \, x^{11} - 7668708 \, x^{10} - 6570680 \, x^{9} + 6903864 \, x^{8} + 15444144 \, x^{7} + 4312832 \, x^{6} - 9559200 \, x^{5} - 9359808 \, x^{4} - 155968 \, x^{3} + 3016704 \, x^{2} + \sqrt{3} {\left(2855 \, x^{15} + 51163 \, x^{14} + 426388 \, x^{13} + 1073898 \, x^{12} - 452980 \, x^{11} - 4427548 \, x^{10} - 3793592 \, x^{9} + 3985944 \, x^{8} + 8916720 \, x^{7} + 2490016 \, x^{6} - 5519008 \, x^{5} - 5403904 \, x^{4} - 90048 \, x^{3} + 1741696 \, x^{2} + 1543936 \, x - 545536\right)} + 2674176 \, x - 944896\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 665088 \, x + 235008\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} \sqrt{2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} \sqrt{-56 \, \sqrt{3} + 97} + 36 \, {\left(144 \, x^{17} + 5976 \, x^{16} + 5544 \, x^{15} - 299664 \, x^{14} - 1062360 \, x^{13} - 116712 \, x^{12} + 3600000 \, x^{11} + 4761216 \, x^{10} - 1046592 \, x^{9} - 8676864 \, x^{8} - 6592896 \, x^{7} + 2641536 \, x^{6} + 7016832 \, x^{5} + 3699072 \, x^{4} - 1861632 \, x^{3} - 1640448 \, x^{2} + 12 \, \sqrt{3} {\left(7 \, x^{17} + 286 \, x^{16} + 238 \, x^{15} - 14255 \, x^{14} - 50390 \, x^{13} - 5942 \, x^{12} + 171808 \, x^{11} + 226888 \, x^{10} - 48920 \, x^{9} - 415384 \, x^{8} - 315088 \, x^{7} + 125600 \, x^{6} + 336608 \, x^{5} + 177344 \, x^{4} - 89152 \, x^{3} - 78784 \, x^{2} - 39040 \, x + 18176\right)} + {\left(1164 \, x^{17} + 6276 \, x^{16} - 26052 \, x^{15} - 332844 \, x^{14} - 1632156 \, x^{13} - 4149132 \, x^{12} - 5805024 \, x^{11} - 318696 \, x^{10} + 12621072 \, x^{9} + 19878720 \, x^{8} + 9619008 \, x^{7} - 13361088 \, x^{6} - 20168256 \, x^{5} - 10936128 \, x^{4} + 6434304 \, x^{3} + 6426240 \, x^{2} + 24 \, \sqrt{3} {\left(28 \, x^{17} + 151 \, x^{16} - 626 \, x^{15} - 8006 \, x^{14} - 39266 \, x^{13} - 99812 \, x^{12} - 139652 \, x^{11} - 7661 \, x^{10} + 303610 \, x^{9} + 478214 \, x^{8} + 231392 \, x^{7} - 321412 \, x^{6} - 485176 \, x^{5} - 263080 \, x^{4} + 154784 \, x^{3} + 154592 \, x^{2} + 78464 \, x - 36544\right)} - {\left(2340 \, x^{17} + 96354 \, x^{16} + 84798 \, x^{15} - 4817124 \, x^{14} - 17052930 \, x^{13} - 1941678 \, x^{12} + 57963744 \, x^{11} + 76603680 \, x^{10} - 16678512 \, x^{9} - 139922496 \, x^{8} - 106227360 \, x^{7} + 42453216 \, x^{6} + 113269536 \, x^{5} + 59694624 \, x^{4} - 30025728 \, x^{3} - 26496000 \, x^{2} + \sqrt{3} {\left(1351 \, x^{17} + 55630 \, x^{16} + 48958 \, x^{15} - 2781167 \, x^{14} - 9845510 \, x^{13} - 1121030 \, x^{12} + 33465376 \, x^{11} + 44227144 \, x^{10} - 9629336 \, x^{9} - 80784280 \, x^{8} - 61330384 \, x^{7} + 24510368 \, x^{6} + 65396192 \, x^{5} + 34464704 \, x^{4} - 17335360 \, x^{3} - 15297472 \, x^{2} - 7571584 \, x + 3526400\right)} - 13114368 \, x + 6107904\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 3261696 \, x - 1519104\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 12 \, {\left(97 \, x^{17} + 523 \, x^{16} - 2171 \, x^{15} - 27737 \, x^{14} - 136013 \, x^{13} - 345761 \, x^{12} - 483752 \, x^{11} - 26558 \, x^{10} + 1051756 \, x^{9} + 1656560 \, x^{8} + 801584 \, x^{7} - 1113424 \, x^{6} - 1680688 \, x^{5} - 911344 \, x^{4} + 536192 \, x^{3} + 535520 \, x^{2} + 2 \, \sqrt{3} {\left(28 \, x^{17} + 151 \, x^{16} - 626 \, x^{15} - 8006 \, x^{14} - 39266 \, x^{13} - 99812 \, x^{12} - 139652 \, x^{11} - 7661 \, x^{10} + 303610 \, x^{9} + 478214 \, x^{8} + 231392 \, x^{7} - 321412 \, x^{6} - 485176 \, x^{5} - 263080 \, x^{4} + 154784 \, x^{3} + 154592 \, x^{2} + 78464 \, x - 36544\right)} + 271808 \, x - 126592\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 811008 \, x + 377856\right)} \sqrt{-56 \, \sqrt{3} + 97} - {\left(\sqrt{x^{3} - 1} {\left({\left(459 \, x^{16} + 1557 \, x^{15} - 26415 \, x^{14} + 1449954 \, x^{13} + 4677912 \, x^{12} - 12651948 \, x^{11} - 55684800 \, x^{10} - 62834256 \, x^{9} + 8526168 \, x^{8} + 105313392 \, x^{7} + 99605088 \, x^{6} + 18897984 \, x^{5} - 42499296 \, x^{4} - 37357632 \, x^{3} - 8256960 \, x^{2} + \sqrt{3} {\left(265 \, x^{16} + 899 \, x^{15} - 15249 \, x^{14} + 837130 \, x^{13} + 2700776 \, x^{12} - 7304604 \, x^{11} - 32149640 \, x^{10} - 36277360 \, x^{9} + 4922568 \, x^{8} + 60802736 \, x^{7} + 57507040 \, x^{6} + 10910784 \, x^{5} - 24536992 \, x^{4} - 21568448 \, x^{3} - 4767168 \, x^{2} - 1207168 \, x + 1383424\right)} - {\left(3691 \, x^{16} - 17731 \, x^{15} - 951114 \, x^{14} - 450359 \, x^{13} + 4370159 \, x^{12} - 30318522 \, x^{11} - 78096668 \, x^{10} - 9429316 \, x^{9} + 146877876 \, x^{8} + 197107784 \, x^{7} - 30834152 \, x^{6} - 185125776 \, x^{5} - 132260896 \, x^{4} + 45545344 \, x^{3} + 69517536 \, x^{2} + \sqrt{3} {\left(2131 \, x^{16} - 10237 \, x^{15} - 549126 \, x^{14} - 260015 \, x^{13} + 2523113 \, x^{12} - 17504406 \, x^{11} - 45089132 \, x^{10} - 5444020 \, x^{9} + 84799980 \, x^{8} + 113800232 \, x^{7} - 17802104 \, x^{6} - 106882416 \, x^{5} - 76360864 \, x^{4} + 26295616 \, x^{3} + 40135968 \, x^{2} + 7907648 \, x - 5562368\right)} + 13696448 \, x - 9634304\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 2090880 \, x + 2396160\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 3 \, {\left(984 \, x^{15} + 14712 \, x^{14} - 53940 \, x^{13} - 411732 \, x^{12} - 280248 \, x^{11} + 324624 \, x^{10} + 180816 \, x^{9} + 518544 \, x^{8} + 974304 \, x^{7} + 887136 \, x^{6} - 1404096 \, x^{5} - 1843584 \, x^{4} + 135936 \, x^{3} + 696192 \, x^{2} + 4 \, \sqrt{3} {\left(142 \, x^{15} + 2124 \, x^{14} - 7773 \, x^{13} - 59447 \, x^{12} - 40626 \, x^{11} + 46860 \, x^{10} + 26308 \, x^{9} + 75276 \, x^{8} + 140472 \, x^{7} + 127784 \, x^{6} - 202896 \, x^{5} - 266016 \, x^{4} + 19712 \, x^{3} + 100512 \, x^{2} + 62400 \, x - 24832\right)} - {\left(4945 \, x^{15} + 37473 \, x^{14} - 490698 \, x^{13} - 2249468 \, x^{12} + 474132 \, x^{11} + 8423784 \, x^{10} + 5853520 \, x^{9} - 8451720 \, x^{8} - 15320016 \, x^{7} - 768064 \, x^{6} + 10405056 \, x^{5} + 6627744 \, x^{4} - 700480 \, x^{3} - 2799552 \, x^{2} + \sqrt{3} {\left(2855 \, x^{15} + 21635 \, x^{14} - 283306 \, x^{13} - 1298732 \, x^{12} + 273748 \, x^{11} + 4863472 \, x^{10} + 3379536 \, x^{9} - 4879608 \, x^{8} - 8845008 \, x^{7} - 443456 \, x^{6} + 6007360 \, x^{5} + 3826528 \, x^{4} - 404416 \, x^{3} - 1616320 \, x^{2} - 1003648 \, x + 399360\right)} - 1738368 \, x + 691712\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 432384 \, x - 172032\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} \sqrt{2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} \sqrt{-56 \, \sqrt{3} + 97} + 6 \, {\left(4680 \, x^{16} + 60552 \, x^{15} + 89856 \, x^{14} - 278280 \, x^{13} + 64440 \, x^{12} + 1285200 \, x^{11} - 255600 \, x^{10} - 3098880 \, x^{9} - 1770336 \, x^{8} + 3614400 \, x^{7} + 3895488 \, x^{6} - 1199232 \, x^{5} - 2905344 \, x^{4} - 681984 \, x^{3} + 649728 \, x^{2} + 108 \, \sqrt{3} {\left(25 \, x^{16} + 324 \, x^{15} + 489 \, x^{14} - 1482 \, x^{13} + 316 \, x^{12} + 6984 \, x^{11} - 1312 \, x^{10} - 16624 \, x^{9} - 9792 \, x^{8} + 19328 \, x^{7} + 20976 \, x^{6} - 6240 \, x^{5} - 15552 \, x^{4} - 3712 \, x^{3} + 3456 \, x^{2} + 4096 \, x - 1280\right)} + {\left(1164 \, x^{17} - 1248 \, x^{16} - 246120 \, x^{15} - 518172 \, x^{14} + 2607528 \, x^{13} + 8301144 \, x^{12} + 7017600 \, x^{11} - 6258120 \, x^{10} - 21360336 \, x^{9} - 16998960 \, x^{8} + 966336 \, x^{7} + 18216672 \, x^{6} + 15860544 \, x^{5} + 4720704 \, x^{4} - 6023424 \, x^{3} - 5362176 \, x^{2} + 48 \, \sqrt{3} {\left(14 \, x^{17} - 15 \, x^{16} - 2960 \, x^{15} - 6232 \, x^{14} + 31362 \, x^{13} + 99844 \, x^{12} + 84404 \, x^{11} - 75267 \, x^{10} - 256916 \, x^{9} - 204458 \, x^{8} + 11616 \, x^{7} + 219104 \, x^{6} + 190768 \, x^{5} + 56784 \, x^{4} - 72448 \, x^{3} - 64496 \, x^{2} - 24480 \, x + 13376\right)} - {\left(2340 \, x^{17} + 35850 \, x^{16} - 106410 \, x^{15} + 2064744 \, x^{14} + 11945946 \, x^{13} + 1710042 \, x^{12} - 46293732 \, x^{11} - 59161524 \, x^{10} + 18480192 \, x^{9} + 122366520 \, x^{8} + 81203856 \, x^{7} - 45222000 \, x^{6} - 100598112 \, x^{5} - 42207168 \, x^{4} + 29609472 \, x^{3} + 22458240 \, x^{2} + \sqrt{3} {\left(1351 \, x^{17} + 20698 \, x^{16} - 61436 \, x^{15} + 1192081 \, x^{14} + 6896998 \, x^{13} + 987292 \, x^{12} - 26727704 \, x^{11} - 34156928 \, x^{10} + 10669552 \, x^{9} + 70648352 \, x^{8} + 46883072 \, x^{7} - 26108944 \, x^{6} - 58080352 \, x^{5} - 24368320 \, x^{4} + 17095040 \, x^{3} + 12966272 \, x^{2} + 4724480 \, x - 2581504\right)} + 8183040 \, x - 4471296\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 2035200 \, x + 1112064\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 24 \, {\left(627 \, x^{16} + 14286 \, x^{15} + 39762 \, x^{14} - 50142 \, x^{13} - 216816 \, x^{12} - 112284 \, x^{11} + 325707 \, x^{10} + 586326 \, x^{9} - 3294 \, x^{8} - 631752 \, x^{7} - 539220 \, x^{6} + 184392 \, x^{5} + 483816 \, x^{4} + 115296 \, x^{3} - 108576 \, x^{2} + 2 \, \sqrt{3} {\left(181 \, x^{16} + 4124 \, x^{15} + 11478 \, x^{14} - 14474 \, x^{13} - 62584 \, x^{12} - 32412 \, x^{11} + 94021 \, x^{10} + 169244 \, x^{9} - 954 \, x^{8} - 182368 \, x^{7} - 155648 \, x^{6} + 53232 \, x^{5} + 139664 \, x^{4} + 33280 \, x^{3} - 31344 \, x^{2} - 37024 \, x + 11584\right)} - 128256 \, x + 40128\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 764928 \, x - 239616\right)} \sqrt{-56 \, \sqrt{3} + 97}\right)} \sqrt{\frac{36 \, x^{8} - 72 \, x^{7} + 1656 \, x^{6} - 720 \, x^{5} + 1440 \, x^{4} - 2016 \, x^{3} + {\left(60 \, x^{6} - 324 \, x^{5} + 576 \, x^{4} - 696 \, x^{3} + 432 \, x^{2} + 36 \, \sqrt{3} {\left(x^{6} - 5 \, x^{5} + 10 \, x^{4} - 10 \, x^{3} + 8 \, x^{2} - 4 \, x\right)} - {\left(123 \, x^{6} - 2016 \, x^{5} + 2214 \, x^{4} - 2064 \, x^{3} + 396 \, x^{2} + \sqrt{3} {\left(71 \, x^{6} - 1164 \, x^{5} + 1278 \, x^{4} - 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 144 \, x + 96\right)} \sqrt{x^{3} - 1} \sqrt{2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} - 288 \, x^{2} - 144 \, \sqrt{3} {\left(x^{7} - 4 \, x^{6} + 6 \, x^{5} - 5 \, x^{4} - 4 \, x^{3} - 6 \, x^{2} + 4 \, x + 8\right)} + 72 \, {\left(26 \, x^{7} - 38 \, x^{6} + 42 \, x^{5} - 46 \, x^{4} + 46 \, x^{3} - 42 \, x^{2} + \sqrt{3} {\left(15 \, x^{7} - 22 \, x^{6} + 24 \, x^{5} - 27 \, x^{4} + 26 \, x^{3} - 24 \, x^{2} + 12 \, x - 4\right)} + 20 \, x - 8\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 576 \, x + 2304}{x^{8} + 4 \, x^{7} + 16 \, x^{6} + 16 \, x^{5} + 28 \, x^{4} - 32 \, x^{3} + 64 \, x^{2} - 32 \, x + 16}}}{1296 \, {\left(x^{17} - 13 \, x^{16} - 522 \, x^{15} - 1742 \, x^{14} + 3008 \, x^{13} + 16884 \, x^{12} + 11656 \, x^{11} - 23944 \, x^{10} - 42336 \, x^{9} - 9136 \, x^{8} + 36256 \, x^{7} + 27360 \, x^{6} - 256 \, x^{5} - 13376 \, x^{4} - 5760 \, x^{3} + 1664 \, x^{2} + 256 \, x\right)}}\right) + \frac{1}{432} \, \sqrt{2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(56 \, \sqrt{3} + 97\right)} \sqrt{-56 \, \sqrt{3} + 97} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} \arctan\left(\frac{6 \, \sqrt{x^{3} - 1} {\left({\left(459 \, x^{16} + 13425 \, x^{15} - 33201 \, x^{14} - 950652 \, x^{13} - 997302 \, x^{12} + 14760972 \, x^{11} + 47069892 \, x^{10} + 49762248 \, x^{9} - 8212536 \, x^{8} - 84377808 \, x^{7} - 88427328 \, x^{6} - 25613856 \, x^{5} + 27458496 \, x^{4} + 36433344 \, x^{3} + 12609792 \, x^{2} + \sqrt{3} {\left(265 \, x^{16} + 7751 \, x^{15} - 19167 \, x^{14} - 548864 \, x^{13} - 575818 \, x^{12} + 8522268 \, x^{11} + 27175852 \, x^{10} + 28730312 \, x^{9} - 4741560 \, x^{8} - 48715600 \, x^{7} - 51053600 \, x^{6} - 14788128 \, x^{5} + 15853184 \, x^{4} + 21034816 \, x^{3} + 7280256 \, x^{2} + 2488832 \, x - 1889792\right)} - {\left(3691 \, x^{16} + 6128 \, x^{15} - 537864 \, x^{14} - 1586477 \, x^{13} + 16210952 \, x^{12} + 77181756 \, x^{11} + 84218362 \, x^{10} - 71018320 \, x^{9} - 254455812 \, x^{8} - 196076008 \, x^{7} + 120105208 \, x^{6} + 256326864 \, x^{5} + 134645168 \, x^{4} - 78464672 \, x^{3} - 78514944 \, x^{2} + \sqrt{3} {\left(2131 \, x^{16} + 3538 \, x^{15} - 310536 \, x^{14} - 915953 \, x^{13} + 9359398 \, x^{12} + 44560908 \, x^{11} + 48623494 \, x^{10} - 41002448 \, x^{9} - 146910132 \, x^{8} - 113204536 \, x^{7} + 69342776 \, x^{6} + 147990384 \, x^{5} + 77737424 \, x^{4} - 45301600 \, x^{3} - 45330624 \, x^{2} - 12242560 \, x + 7598336\right)} - 21204736 \, x + 13160704\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 4310784 \, x - 3273216\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 3 \, {\left(984 \, x^{15} + 30612 \, x^{14} + 164676 \, x^{13} + 205368 \, x^{12} - 289200 \, x^{11} - 183720 \, x^{10} + 886752 \, x^{9} + 71568 \, x^{8} - 1960992 \, x^{7} - 1849440 \, x^{6} + 1558464 \, x^{5} + 2478912 \, x^{4} + 66432 \, x^{3} - 750336 \, x^{2} + 4 \, \sqrt{3} {\left(142 \, x^{15} + 4419 \, x^{14} + 23781 \, x^{13} + 29608 \, x^{12} - 41940 \, x^{11} - 26454 \, x^{10} + 128152 \, x^{9} + 10692 \, x^{8} - 283320 \, x^{7} - 267064 \, x^{6} + 224784 \, x^{5} + 357936 \, x^{4} + 9632 \, x^{3} - 108288 \, x^{2} - 96000 \, x + 33920\right)} - {\left(4945 \, x^{15} + 88617 \, x^{14} + 738528 \, x^{13} + 1860046 \, x^{12} - 784596 \, x^{11} - 7668708 \, x^{10} - 6570680 \, x^{9} + 6903864 \, x^{8} + 15444144 \, x^{7} + 4312832 \, x^{6} - 9559200 \, x^{5} - 9359808 \, x^{4} - 155968 \, x^{3} + 3016704 \, x^{2} + \sqrt{3} {\left(2855 \, x^{15} + 51163 \, x^{14} + 426388 \, x^{13} + 1073898 \, x^{12} - 452980 \, x^{11} - 4427548 \, x^{10} - 3793592 \, x^{9} + 3985944 \, x^{8} + 8916720 \, x^{7} + 2490016 \, x^{6} - 5519008 \, x^{5} - 5403904 \, x^{4} - 90048 \, x^{3} + 1741696 \, x^{2} + 1543936 \, x - 545536\right)} + 2674176 \, x - 944896\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 665088 \, x + 235008\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} \sqrt{2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} \sqrt{-56 \, \sqrt{3} + 97} - 36 \, {\left(144 \, x^{17} + 5976 \, x^{16} + 5544 \, x^{15} - 299664 \, x^{14} - 1062360 \, x^{13} - 116712 \, x^{12} + 3600000 \, x^{11} + 4761216 \, x^{10} - 1046592 \, x^{9} - 8676864 \, x^{8} - 6592896 \, x^{7} + 2641536 \, x^{6} + 7016832 \, x^{5} + 3699072 \, x^{4} - 1861632 \, x^{3} - 1640448 \, x^{2} + 12 \, \sqrt{3} {\left(7 \, x^{17} + 286 \, x^{16} + 238 \, x^{15} - 14255 \, x^{14} - 50390 \, x^{13} - 5942 \, x^{12} + 171808 \, x^{11} + 226888 \, x^{10} - 48920 \, x^{9} - 415384 \, x^{8} - 315088 \, x^{7} + 125600 \, x^{6} + 336608 \, x^{5} + 177344 \, x^{4} - 89152 \, x^{3} - 78784 \, x^{2} - 39040 \, x + 18176\right)} + {\left(1164 \, x^{17} + 6276 \, x^{16} - 26052 \, x^{15} - 332844 \, x^{14} - 1632156 \, x^{13} - 4149132 \, x^{12} - 5805024 \, x^{11} - 318696 \, x^{10} + 12621072 \, x^{9} + 19878720 \, x^{8} + 9619008 \, x^{7} - 13361088 \, x^{6} - 20168256 \, x^{5} - 10936128 \, x^{4} + 6434304 \, x^{3} + 6426240 \, x^{2} + 24 \, \sqrt{3} {\left(28 \, x^{17} + 151 \, x^{16} - 626 \, x^{15} - 8006 \, x^{14} - 39266 \, x^{13} - 99812 \, x^{12} - 139652 \, x^{11} - 7661 \, x^{10} + 303610 \, x^{9} + 478214 \, x^{8} + 231392 \, x^{7} - 321412 \, x^{6} - 485176 \, x^{5} - 263080 \, x^{4} + 154784 \, x^{3} + 154592 \, x^{2} + 78464 \, x - 36544\right)} - {\left(2340 \, x^{17} + 96354 \, x^{16} + 84798 \, x^{15} - 4817124 \, x^{14} - 17052930 \, x^{13} - 1941678 \, x^{12} + 57963744 \, x^{11} + 76603680 \, x^{10} - 16678512 \, x^{9} - 139922496 \, x^{8} - 106227360 \, x^{7} + 42453216 \, x^{6} + 113269536 \, x^{5} + 59694624 \, x^{4} - 30025728 \, x^{3} - 26496000 \, x^{2} + \sqrt{3} {\left(1351 \, x^{17} + 55630 \, x^{16} + 48958 \, x^{15} - 2781167 \, x^{14} - 9845510 \, x^{13} - 1121030 \, x^{12} + 33465376 \, x^{11} + 44227144 \, x^{10} - 9629336 \, x^{9} - 80784280 \, x^{8} - 61330384 \, x^{7} + 24510368 \, x^{6} + 65396192 \, x^{5} + 34464704 \, x^{4} - 17335360 \, x^{3} - 15297472 \, x^{2} - 7571584 \, x + 3526400\right)} - 13114368 \, x + 6107904\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 3261696 \, x - 1519104\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 12 \, {\left(97 \, x^{17} + 523 \, x^{16} - 2171 \, x^{15} - 27737 \, x^{14} - 136013 \, x^{13} - 345761 \, x^{12} - 483752 \, x^{11} - 26558 \, x^{10} + 1051756 \, x^{9} + 1656560 \, x^{8} + 801584 \, x^{7} - 1113424 \, x^{6} - 1680688 \, x^{5} - 911344 \, x^{4} + 536192 \, x^{3} + 535520 \, x^{2} + 2 \, \sqrt{3} {\left(28 \, x^{17} + 151 \, x^{16} - 626 \, x^{15} - 8006 \, x^{14} - 39266 \, x^{13} - 99812 \, x^{12} - 139652 \, x^{11} - 7661 \, x^{10} + 303610 \, x^{9} + 478214 \, x^{8} + 231392 \, x^{7} - 321412 \, x^{6} - 485176 \, x^{5} - 263080 \, x^{4} + 154784 \, x^{3} + 154592 \, x^{2} + 78464 \, x - 36544\right)} + 271808 \, x - 126592\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 811008 \, x + 377856\right)} \sqrt{-56 \, \sqrt{3} + 97} - {\left(\sqrt{x^{3} - 1} {\left({\left(459 \, x^{16} + 1557 \, x^{15} - 26415 \, x^{14} + 1449954 \, x^{13} + 4677912 \, x^{12} - 12651948 \, x^{11} - 55684800 \, x^{10} - 62834256 \, x^{9} + 8526168 \, x^{8} + 105313392 \, x^{7} + 99605088 \, x^{6} + 18897984 \, x^{5} - 42499296 \, x^{4} - 37357632 \, x^{3} - 8256960 \, x^{2} + \sqrt{3} {\left(265 \, x^{16} + 899 \, x^{15} - 15249 \, x^{14} + 837130 \, x^{13} + 2700776 \, x^{12} - 7304604 \, x^{11} - 32149640 \, x^{10} - 36277360 \, x^{9} + 4922568 \, x^{8} + 60802736 \, x^{7} + 57507040 \, x^{6} + 10910784 \, x^{5} - 24536992 \, x^{4} - 21568448 \, x^{3} - 4767168 \, x^{2} - 1207168 \, x + 1383424\right)} - {\left(3691 \, x^{16} - 17731 \, x^{15} - 951114 \, x^{14} - 450359 \, x^{13} + 4370159 \, x^{12} - 30318522 \, x^{11} - 78096668 \, x^{10} - 9429316 \, x^{9} + 146877876 \, x^{8} + 197107784 \, x^{7} - 30834152 \, x^{6} - 185125776 \, x^{5} - 132260896 \, x^{4} + 45545344 \, x^{3} + 69517536 \, x^{2} + \sqrt{3} {\left(2131 \, x^{16} - 10237 \, x^{15} - 549126 \, x^{14} - 260015 \, x^{13} + 2523113 \, x^{12} - 17504406 \, x^{11} - 45089132 \, x^{10} - 5444020 \, x^{9} + 84799980 \, x^{8} + 113800232 \, x^{7} - 17802104 \, x^{6} - 106882416 \, x^{5} - 76360864 \, x^{4} + 26295616 \, x^{3} + 40135968 \, x^{2} + 7907648 \, x - 5562368\right)} + 13696448 \, x - 9634304\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 2090880 \, x + 2396160\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 3 \, {\left(984 \, x^{15} + 14712 \, x^{14} - 53940 \, x^{13} - 411732 \, x^{12} - 280248 \, x^{11} + 324624 \, x^{10} + 180816 \, x^{9} + 518544 \, x^{8} + 974304 \, x^{7} + 887136 \, x^{6} - 1404096 \, x^{5} - 1843584 \, x^{4} + 135936 \, x^{3} + 696192 \, x^{2} + 4 \, \sqrt{3} {\left(142 \, x^{15} + 2124 \, x^{14} - 7773 \, x^{13} - 59447 \, x^{12} - 40626 \, x^{11} + 46860 \, x^{10} + 26308 \, x^{9} + 75276 \, x^{8} + 140472 \, x^{7} + 127784 \, x^{6} - 202896 \, x^{5} - 266016 \, x^{4} + 19712 \, x^{3} + 100512 \, x^{2} + 62400 \, x - 24832\right)} - {\left(4945 \, x^{15} + 37473 \, x^{14} - 490698 \, x^{13} - 2249468 \, x^{12} + 474132 \, x^{11} + 8423784 \, x^{10} + 5853520 \, x^{9} - 8451720 \, x^{8} - 15320016 \, x^{7} - 768064 \, x^{6} + 10405056 \, x^{5} + 6627744 \, x^{4} - 700480 \, x^{3} - 2799552 \, x^{2} + \sqrt{3} {\left(2855 \, x^{15} + 21635 \, x^{14} - 283306 \, x^{13} - 1298732 \, x^{12} + 273748 \, x^{11} + 4863472 \, x^{10} + 3379536 \, x^{9} - 4879608 \, x^{8} - 8845008 \, x^{7} - 443456 \, x^{6} + 6007360 \, x^{5} + 3826528 \, x^{4} - 404416 \, x^{3} - 1616320 \, x^{2} - 1003648 \, x + 399360\right)} - 1738368 \, x + 691712\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 432384 \, x - 172032\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} \sqrt{2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} \sqrt{-56 \, \sqrt{3} + 97} - 6 \, {\left(4680 \, x^{16} + 60552 \, x^{15} + 89856 \, x^{14} - 278280 \, x^{13} + 64440 \, x^{12} + 1285200 \, x^{11} - 255600 \, x^{10} - 3098880 \, x^{9} - 1770336 \, x^{8} + 3614400 \, x^{7} + 3895488 \, x^{6} - 1199232 \, x^{5} - 2905344 \, x^{4} - 681984 \, x^{3} + 649728 \, x^{2} + 108 \, \sqrt{3} {\left(25 \, x^{16} + 324 \, x^{15} + 489 \, x^{14} - 1482 \, x^{13} + 316 \, x^{12} + 6984 \, x^{11} - 1312 \, x^{10} - 16624 \, x^{9} - 9792 \, x^{8} + 19328 \, x^{7} + 20976 \, x^{6} - 6240 \, x^{5} - 15552 \, x^{4} - 3712 \, x^{3} + 3456 \, x^{2} + 4096 \, x - 1280\right)} + {\left(1164 \, x^{17} - 1248 \, x^{16} - 246120 \, x^{15} - 518172 \, x^{14} + 2607528 \, x^{13} + 8301144 \, x^{12} + 7017600 \, x^{11} - 6258120 \, x^{10} - 21360336 \, x^{9} - 16998960 \, x^{8} + 966336 \, x^{7} + 18216672 \, x^{6} + 15860544 \, x^{5} + 4720704 \, x^{4} - 6023424 \, x^{3} - 5362176 \, x^{2} + 48 \, \sqrt{3} {\left(14 \, x^{17} - 15 \, x^{16} - 2960 \, x^{15} - 6232 \, x^{14} + 31362 \, x^{13} + 99844 \, x^{12} + 84404 \, x^{11} - 75267 \, x^{10} - 256916 \, x^{9} - 204458 \, x^{8} + 11616 \, x^{7} + 219104 \, x^{6} + 190768 \, x^{5} + 56784 \, x^{4} - 72448 \, x^{3} - 64496 \, x^{2} - 24480 \, x + 13376\right)} - {\left(2340 \, x^{17} + 35850 \, x^{16} - 106410 \, x^{15} + 2064744 \, x^{14} + 11945946 \, x^{13} + 1710042 \, x^{12} - 46293732 \, x^{11} - 59161524 \, x^{10} + 18480192 \, x^{9} + 122366520 \, x^{8} + 81203856 \, x^{7} - 45222000 \, x^{6} - 100598112 \, x^{5} - 42207168 \, x^{4} + 29609472 \, x^{3} + 22458240 \, x^{2} + \sqrt{3} {\left(1351 \, x^{17} + 20698 \, x^{16} - 61436 \, x^{15} + 1192081 \, x^{14} + 6896998 \, x^{13} + 987292 \, x^{12} - 26727704 \, x^{11} - 34156928 \, x^{10} + 10669552 \, x^{9} + 70648352 \, x^{8} + 46883072 \, x^{7} - 26108944 \, x^{6} - 58080352 \, x^{5} - 24368320 \, x^{4} + 17095040 \, x^{3} + 12966272 \, x^{2} + 4724480 \, x - 2581504\right)} + 8183040 \, x - 4471296\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 2035200 \, x + 1112064\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 24 \, {\left(627 \, x^{16} + 14286 \, x^{15} + 39762 \, x^{14} - 50142 \, x^{13} - 216816 \, x^{12} - 112284 \, x^{11} + 325707 \, x^{10} + 586326 \, x^{9} - 3294 \, x^{8} - 631752 \, x^{7} - 539220 \, x^{6} + 184392 \, x^{5} + 483816 \, x^{4} + 115296 \, x^{3} - 108576 \, x^{2} + 2 \, \sqrt{3} {\left(181 \, x^{16} + 4124 \, x^{15} + 11478 \, x^{14} - 14474 \, x^{13} - 62584 \, x^{12} - 32412 \, x^{11} + 94021 \, x^{10} + 169244 \, x^{9} - 954 \, x^{8} - 182368 \, x^{7} - 155648 \, x^{6} + 53232 \, x^{5} + 139664 \, x^{4} + 33280 \, x^{3} - 31344 \, x^{2} - 37024 \, x + 11584\right)} - 128256 \, x + 40128\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 764928 \, x - 239616\right)} \sqrt{-56 \, \sqrt{3} + 97}\right)} \sqrt{\frac{36 \, x^{8} - 72 \, x^{7} + 1656 \, x^{6} - 720 \, x^{5} + 1440 \, x^{4} - 2016 \, x^{3} - {\left(60 \, x^{6} - 324 \, x^{5} + 576 \, x^{4} - 696 \, x^{3} + 432 \, x^{2} + 36 \, \sqrt{3} {\left(x^{6} - 5 \, x^{5} + 10 \, x^{4} - 10 \, x^{3} + 8 \, x^{2} - 4 \, x\right)} - {\left(123 \, x^{6} - 2016 \, x^{5} + 2214 \, x^{4} - 2064 \, x^{3} + 396 \, x^{2} + \sqrt{3} {\left(71 \, x^{6} - 1164 \, x^{5} + 1278 \, x^{4} - 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 144 \, x + 96\right)} \sqrt{x^{3} - 1} \sqrt{2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} - 288 \, x^{2} - 144 \, \sqrt{3} {\left(x^{7} - 4 \, x^{6} + 6 \, x^{5} - 5 \, x^{4} - 4 \, x^{3} - 6 \, x^{2} + 4 \, x + 8\right)} + 72 \, {\left(26 \, x^{7} - 38 \, x^{6} + 42 \, x^{5} - 46 \, x^{4} + 46 \, x^{3} - 42 \, x^{2} + \sqrt{3} {\left(15 \, x^{7} - 22 \, x^{6} + 24 \, x^{5} - 27 \, x^{4} + 26 \, x^{3} - 24 \, x^{2} + 12 \, x - 4\right)} + 20 \, x - 8\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 576 \, x + 2304}{x^{8} + 4 \, x^{7} + 16 \, x^{6} + 16 \, x^{5} + 28 \, x^{4} - 32 \, x^{3} + 64 \, x^{2} - 32 \, x + 16}}}{1296 \, {\left(x^{17} - 13 \, x^{16} - 522 \, x^{15} - 1742 \, x^{14} + 3008 \, x^{13} + 16884 \, x^{12} + 11656 \, x^{11} - 23944 \, x^{10} - 42336 \, x^{9} - 9136 \, x^{8} + 36256 \, x^{7} + 27360 \, x^{6} - 256 \, x^{5} - 13376 \, x^{4} - 5760 \, x^{3} + 1664 \, x^{2} + 256 \, x\right)}}\right) + \frac{1}{5184} \, \sqrt{2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left({\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 12\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} \log\left(\frac{36 \, x^{8} - 72 \, x^{7} + 1656 \, x^{6} - 720 \, x^{5} + 1440 \, x^{4} - 2016 \, x^{3} + {\left(60 \, x^{6} - 324 \, x^{5} + 576 \, x^{4} - 696 \, x^{3} + 432 \, x^{2} + 36 \, \sqrt{3} {\left(x^{6} - 5 \, x^{5} + 10 \, x^{4} - 10 \, x^{3} + 8 \, x^{2} - 4 \, x\right)} - {\left(123 \, x^{6} - 2016 \, x^{5} + 2214 \, x^{4} - 2064 \, x^{3} + 396 \, x^{2} + \sqrt{3} {\left(71 \, x^{6} - 1164 \, x^{5} + 1278 \, x^{4} - 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 144 \, x + 96\right)} \sqrt{x^{3} - 1} \sqrt{2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} - 288 \, x^{2} - 144 \, \sqrt{3} {\left(x^{7} - 4 \, x^{6} + 6 \, x^{5} - 5 \, x^{4} - 4 \, x^{3} - 6 \, x^{2} + 4 \, x + 8\right)} + 72 \, {\left(26 \, x^{7} - 38 \, x^{6} + 42 \, x^{5} - 46 \, x^{4} + 46 \, x^{3} - 42 \, x^{2} + \sqrt{3} {\left(15 \, x^{7} - 22 \, x^{6} + 24 \, x^{5} - 27 \, x^{4} + 26 \, x^{3} - 24 \, x^{2} + 12 \, x - 4\right)} + 20 \, x - 8\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 576 \, x + 2304}{36 \, {\left(x^{8} + 4 \, x^{7} + 16 \, x^{6} + 16 \, x^{5} + 28 \, x^{4} - 32 \, x^{3} + 64 \, x^{2} - 32 \, x + 16\right)}}\right) - \frac{1}{5184} \, \sqrt{2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left({\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 12\right)} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} \log\left(\frac{36 \, x^{8} - 72 \, x^{7} + 1656 \, x^{6} - 720 \, x^{5} + 1440 \, x^{4} - 2016 \, x^{3} - {\left(60 \, x^{6} - 324 \, x^{5} + 576 \, x^{4} - 696 \, x^{3} + 432 \, x^{2} + 36 \, \sqrt{3} {\left(x^{6} - 5 \, x^{5} + 10 \, x^{4} - 10 \, x^{3} + 8 \, x^{2} - 4 \, x\right)} - {\left(123 \, x^{6} - 2016 \, x^{5} + 2214 \, x^{4} - 2064 \, x^{3} + 396 \, x^{2} + \sqrt{3} {\left(71 \, x^{6} - 1164 \, x^{5} + 1278 \, x^{4} - 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{-672 \, \sqrt{3} + 1164} - 144 \, x + 96\right)} \sqrt{x^{3} - 1} \sqrt{2 \, {\left(7 \, \sqrt{3} + 12\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 24} {\left(-672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} - 288 \, x^{2} - 144 \, \sqrt{3} {\left(x^{7} - 4 \, x^{6} + 6 \, x^{5} - 5 \, x^{4} - 4 \, x^{3} - 6 \, x^{2} + 4 \, x + 8\right)} + 72 \, {\left(26 \, x^{7} - 38 \, x^{6} + 42 \, x^{5} - 46 \, x^{4} + 46 \, x^{3} - 42 \, x^{2} + \sqrt{3} {\left(15 \, x^{7} - 22 \, x^{6} + 24 \, x^{5} - 27 \, x^{4} + 26 \, x^{3} - 24 \, x^{2} + 12 \, x - 4\right)} + 20 \, x - 8\right)} \sqrt{-672 \, \sqrt{3} + 1164} + 576 \, x + 2304}{36 \, {\left(x^{8} + 4 \, x^{7} + 16 \, x^{6} + 16 \, x^{5} + 28 \, x^{4} - 32 \, x^{3} + 64 \, x^{2} - 32 \, x + 16\right)}}\right) + \frac{1}{72} \, \sqrt{14 \, \sqrt{3} - 24} \log\left(\frac{x^{8} + 16 \, x^{7} + 112 \, x^{6} + 16 \, x^{5} + 112 \, x^{4} - 224 \, x^{3} + 64 \, x^{2} - 2 \, {\left(5 \, x^{6} + 54 \, x^{5} + 96 \, x^{4} + 56 \, x^{3} - 36 \, x^{2} + 3 \, \sqrt{3} {\left(x^{6} + 10 \, x^{5} + 20 \, x^{4} + 8 \, x^{3} - 4 \, x^{2} - 8 \, x\right)} - 24 \, x - 16\right)} \sqrt{x^{3} - 1} \sqrt{14 \, \sqrt{3} - 24} + 16 \, \sqrt{3} {\left(x^{7} + 2 \, x^{6} + 6 \, x^{5} - 5 \, x^{4} + 2 \, x^{3} - 6 \, x^{2} + 4 \, x - 4\right)} - 128 \, x + 112}{x^{8} - 8 \, x^{7} + 16 \, x^{6} + 16 \, x^{5} - 56 \, x^{4} - 32 \, x^{3} + 64 \, x^{2} + 64 \, x + 16}\right)"," ",0,"1/432*sqrt(2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(56*sqrt(3) + 97)*sqrt(-56*sqrt(3) + 97)*(-672*sqrt(3) + 1164)^(3/4)*arctan(1/1296*(6*sqrt(x^3 - 1)*((459*x^16 + 13425*x^15 - 33201*x^14 - 950652*x^13 - 997302*x^12 + 14760972*x^11 + 47069892*x^10 + 49762248*x^9 - 8212536*x^8 - 84377808*x^7 - 88427328*x^6 - 25613856*x^5 + 27458496*x^4 + 36433344*x^3 + 12609792*x^2 + sqrt(3)*(265*x^16 + 7751*x^15 - 19167*x^14 - 548864*x^13 - 575818*x^12 + 8522268*x^11 + 27175852*x^10 + 28730312*x^9 - 4741560*x^8 - 48715600*x^7 - 51053600*x^6 - 14788128*x^5 + 15853184*x^4 + 21034816*x^3 + 7280256*x^2 + 2488832*x - 1889792) - (3691*x^16 + 6128*x^15 - 537864*x^14 - 1586477*x^13 + 16210952*x^12 + 77181756*x^11 + 84218362*x^10 - 71018320*x^9 - 254455812*x^8 - 196076008*x^7 + 120105208*x^6 + 256326864*x^5 + 134645168*x^4 - 78464672*x^3 - 78514944*x^2 + sqrt(3)*(2131*x^16 + 3538*x^15 - 310536*x^14 - 915953*x^13 + 9359398*x^12 + 44560908*x^11 + 48623494*x^10 - 41002448*x^9 - 146910132*x^8 - 113204536*x^7 + 69342776*x^6 + 147990384*x^5 + 77737424*x^4 - 45301600*x^3 - 45330624*x^2 - 12242560*x + 7598336) - 21204736*x + 13160704)*sqrt(-672*sqrt(3) + 1164) + 4310784*x - 3273216)*(-672*sqrt(3) + 1164)^(3/4) + 3*(984*x^15 + 30612*x^14 + 164676*x^13 + 205368*x^12 - 289200*x^11 - 183720*x^10 + 886752*x^9 + 71568*x^8 - 1960992*x^7 - 1849440*x^6 + 1558464*x^5 + 2478912*x^4 + 66432*x^3 - 750336*x^2 + 4*sqrt(3)*(142*x^15 + 4419*x^14 + 23781*x^13 + 29608*x^12 - 41940*x^11 - 26454*x^10 + 128152*x^9 + 10692*x^8 - 283320*x^7 - 267064*x^6 + 224784*x^5 + 357936*x^4 + 9632*x^3 - 108288*x^2 - 96000*x + 33920) - (4945*x^15 + 88617*x^14 + 738528*x^13 + 1860046*x^12 - 784596*x^11 - 7668708*x^10 - 6570680*x^9 + 6903864*x^8 + 15444144*x^7 + 4312832*x^6 - 9559200*x^5 - 9359808*x^4 - 155968*x^3 + 3016704*x^2 + sqrt(3)*(2855*x^15 + 51163*x^14 + 426388*x^13 + 1073898*x^12 - 452980*x^11 - 4427548*x^10 - 3793592*x^9 + 3985944*x^8 + 8916720*x^7 + 2490016*x^6 - 5519008*x^5 - 5403904*x^4 - 90048*x^3 + 1741696*x^2 + 1543936*x - 545536) + 2674176*x - 944896)*sqrt(-672*sqrt(3) + 1164) - 665088*x + 235008)*(-672*sqrt(3) + 1164)^(1/4))*sqrt(2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*sqrt(-56*sqrt(3) + 97) + 36*(144*x^17 + 5976*x^16 + 5544*x^15 - 299664*x^14 - 1062360*x^13 - 116712*x^12 + 3600000*x^11 + 4761216*x^10 - 1046592*x^9 - 8676864*x^8 - 6592896*x^7 + 2641536*x^6 + 7016832*x^5 + 3699072*x^4 - 1861632*x^3 - 1640448*x^2 + 12*sqrt(3)*(7*x^17 + 286*x^16 + 238*x^15 - 14255*x^14 - 50390*x^13 - 5942*x^12 + 171808*x^11 + 226888*x^10 - 48920*x^9 - 415384*x^8 - 315088*x^7 + 125600*x^6 + 336608*x^5 + 177344*x^4 - 89152*x^3 - 78784*x^2 - 39040*x + 18176) + (1164*x^17 + 6276*x^16 - 26052*x^15 - 332844*x^14 - 1632156*x^13 - 4149132*x^12 - 5805024*x^11 - 318696*x^10 + 12621072*x^9 + 19878720*x^8 + 9619008*x^7 - 13361088*x^6 - 20168256*x^5 - 10936128*x^4 + 6434304*x^3 + 6426240*x^2 + 24*sqrt(3)*(28*x^17 + 151*x^16 - 626*x^15 - 8006*x^14 - 39266*x^13 - 99812*x^12 - 139652*x^11 - 7661*x^10 + 303610*x^9 + 478214*x^8 + 231392*x^7 - 321412*x^6 - 485176*x^5 - 263080*x^4 + 154784*x^3 + 154592*x^2 + 78464*x - 36544) - (2340*x^17 + 96354*x^16 + 84798*x^15 - 4817124*x^14 - 17052930*x^13 - 1941678*x^12 + 57963744*x^11 + 76603680*x^10 - 16678512*x^9 - 139922496*x^8 - 106227360*x^7 + 42453216*x^6 + 113269536*x^5 + 59694624*x^4 - 30025728*x^3 - 26496000*x^2 + sqrt(3)*(1351*x^17 + 55630*x^16 + 48958*x^15 - 2781167*x^14 - 9845510*x^13 - 1121030*x^12 + 33465376*x^11 + 44227144*x^10 - 9629336*x^9 - 80784280*x^8 - 61330384*x^7 + 24510368*x^6 + 65396192*x^5 + 34464704*x^4 - 17335360*x^3 - 15297472*x^2 - 7571584*x + 3526400) - 13114368*x + 6107904)*sqrt(-672*sqrt(3) + 1164) + 3261696*x - 1519104)*sqrt(-672*sqrt(3) + 1164) - 12*(97*x^17 + 523*x^16 - 2171*x^15 - 27737*x^14 - 136013*x^13 - 345761*x^12 - 483752*x^11 - 26558*x^10 + 1051756*x^9 + 1656560*x^8 + 801584*x^7 - 1113424*x^6 - 1680688*x^5 - 911344*x^4 + 536192*x^3 + 535520*x^2 + 2*sqrt(3)*(28*x^17 + 151*x^16 - 626*x^15 - 8006*x^14 - 39266*x^13 - 99812*x^12 - 139652*x^11 - 7661*x^10 + 303610*x^9 + 478214*x^8 + 231392*x^7 - 321412*x^6 - 485176*x^5 - 263080*x^4 + 154784*x^3 + 154592*x^2 + 78464*x - 36544) + 271808*x - 126592)*sqrt(-672*sqrt(3) + 1164) - 811008*x + 377856)*sqrt(-56*sqrt(3) + 97) - (sqrt(x^3 - 1)*((459*x^16 + 1557*x^15 - 26415*x^14 + 1449954*x^13 + 4677912*x^12 - 12651948*x^11 - 55684800*x^10 - 62834256*x^9 + 8526168*x^8 + 105313392*x^7 + 99605088*x^6 + 18897984*x^5 - 42499296*x^4 - 37357632*x^3 - 8256960*x^2 + sqrt(3)*(265*x^16 + 899*x^15 - 15249*x^14 + 837130*x^13 + 2700776*x^12 - 7304604*x^11 - 32149640*x^10 - 36277360*x^9 + 4922568*x^8 + 60802736*x^7 + 57507040*x^6 + 10910784*x^5 - 24536992*x^4 - 21568448*x^3 - 4767168*x^2 - 1207168*x + 1383424) - (3691*x^16 - 17731*x^15 - 951114*x^14 - 450359*x^13 + 4370159*x^12 - 30318522*x^11 - 78096668*x^10 - 9429316*x^9 + 146877876*x^8 + 197107784*x^7 - 30834152*x^6 - 185125776*x^5 - 132260896*x^4 + 45545344*x^3 + 69517536*x^2 + sqrt(3)*(2131*x^16 - 10237*x^15 - 549126*x^14 - 260015*x^13 + 2523113*x^12 - 17504406*x^11 - 45089132*x^10 - 5444020*x^9 + 84799980*x^8 + 113800232*x^7 - 17802104*x^6 - 106882416*x^5 - 76360864*x^4 + 26295616*x^3 + 40135968*x^2 + 7907648*x - 5562368) + 13696448*x - 9634304)*sqrt(-672*sqrt(3) + 1164) - 2090880*x + 2396160)*(-672*sqrt(3) + 1164)^(3/4) + 3*(984*x^15 + 14712*x^14 - 53940*x^13 - 411732*x^12 - 280248*x^11 + 324624*x^10 + 180816*x^9 + 518544*x^8 + 974304*x^7 + 887136*x^6 - 1404096*x^5 - 1843584*x^4 + 135936*x^3 + 696192*x^2 + 4*sqrt(3)*(142*x^15 + 2124*x^14 - 7773*x^13 - 59447*x^12 - 40626*x^11 + 46860*x^10 + 26308*x^9 + 75276*x^8 + 140472*x^7 + 127784*x^6 - 202896*x^5 - 266016*x^4 + 19712*x^3 + 100512*x^2 + 62400*x - 24832) - (4945*x^15 + 37473*x^14 - 490698*x^13 - 2249468*x^12 + 474132*x^11 + 8423784*x^10 + 5853520*x^9 - 8451720*x^8 - 15320016*x^7 - 768064*x^6 + 10405056*x^5 + 6627744*x^4 - 700480*x^3 - 2799552*x^2 + sqrt(3)*(2855*x^15 + 21635*x^14 - 283306*x^13 - 1298732*x^12 + 273748*x^11 + 4863472*x^10 + 3379536*x^9 - 4879608*x^8 - 8845008*x^7 - 443456*x^6 + 6007360*x^5 + 3826528*x^4 - 404416*x^3 - 1616320*x^2 - 1003648*x + 399360) - 1738368*x + 691712)*sqrt(-672*sqrt(3) + 1164) + 432384*x - 172032)*(-672*sqrt(3) + 1164)^(1/4))*sqrt(2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*sqrt(-56*sqrt(3) + 97) + 6*(4680*x^16 + 60552*x^15 + 89856*x^14 - 278280*x^13 + 64440*x^12 + 1285200*x^11 - 255600*x^10 - 3098880*x^9 - 1770336*x^8 + 3614400*x^7 + 3895488*x^6 - 1199232*x^5 - 2905344*x^4 - 681984*x^3 + 649728*x^2 + 108*sqrt(3)*(25*x^16 + 324*x^15 + 489*x^14 - 1482*x^13 + 316*x^12 + 6984*x^11 - 1312*x^10 - 16624*x^9 - 9792*x^8 + 19328*x^7 + 20976*x^6 - 6240*x^5 - 15552*x^4 - 3712*x^3 + 3456*x^2 + 4096*x - 1280) + (1164*x^17 - 1248*x^16 - 246120*x^15 - 518172*x^14 + 2607528*x^13 + 8301144*x^12 + 7017600*x^11 - 6258120*x^10 - 21360336*x^9 - 16998960*x^8 + 966336*x^7 + 18216672*x^6 + 15860544*x^5 + 4720704*x^4 - 6023424*x^3 - 5362176*x^2 + 48*sqrt(3)*(14*x^17 - 15*x^16 - 2960*x^15 - 6232*x^14 + 31362*x^13 + 99844*x^12 + 84404*x^11 - 75267*x^10 - 256916*x^9 - 204458*x^8 + 11616*x^7 + 219104*x^6 + 190768*x^5 + 56784*x^4 - 72448*x^3 - 64496*x^2 - 24480*x + 13376) - (2340*x^17 + 35850*x^16 - 106410*x^15 + 2064744*x^14 + 11945946*x^13 + 1710042*x^12 - 46293732*x^11 - 59161524*x^10 + 18480192*x^9 + 122366520*x^8 + 81203856*x^7 - 45222000*x^6 - 100598112*x^5 - 42207168*x^4 + 29609472*x^3 + 22458240*x^2 + sqrt(3)*(1351*x^17 + 20698*x^16 - 61436*x^15 + 1192081*x^14 + 6896998*x^13 + 987292*x^12 - 26727704*x^11 - 34156928*x^10 + 10669552*x^9 + 70648352*x^8 + 46883072*x^7 - 26108944*x^6 - 58080352*x^5 - 24368320*x^4 + 17095040*x^3 + 12966272*x^2 + 4724480*x - 2581504) + 8183040*x - 4471296)*sqrt(-672*sqrt(3) + 1164) - 2035200*x + 1112064)*sqrt(-672*sqrt(3) + 1164) - 24*(627*x^16 + 14286*x^15 + 39762*x^14 - 50142*x^13 - 216816*x^12 - 112284*x^11 + 325707*x^10 + 586326*x^9 - 3294*x^8 - 631752*x^7 - 539220*x^6 + 184392*x^5 + 483816*x^4 + 115296*x^3 - 108576*x^2 + 2*sqrt(3)*(181*x^16 + 4124*x^15 + 11478*x^14 - 14474*x^13 - 62584*x^12 - 32412*x^11 + 94021*x^10 + 169244*x^9 - 954*x^8 - 182368*x^7 - 155648*x^6 + 53232*x^5 + 139664*x^4 + 33280*x^3 - 31344*x^2 - 37024*x + 11584) - 128256*x + 40128)*sqrt(-672*sqrt(3) + 1164) + 764928*x - 239616)*sqrt(-56*sqrt(3) + 97))*sqrt((36*x^8 - 72*x^7 + 1656*x^6 - 720*x^5 + 1440*x^4 - 2016*x^3 + (60*x^6 - 324*x^5 + 576*x^4 - 696*x^3 + 432*x^2 + 36*sqrt(3)*(x^6 - 5*x^5 + 10*x^4 - 10*x^3 + 8*x^2 - 4*x) - (123*x^6 - 2016*x^5 + 2214*x^4 - 2064*x^3 + 396*x^2 + sqrt(3)*(71*x^6 - 1164*x^5 + 1278*x^4 - 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(-672*sqrt(3) + 1164) - 144*x + 96)*sqrt(x^3 - 1)*sqrt(2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(-672*sqrt(3) + 1164)^(1/4) - 288*x^2 - 144*sqrt(3)*(x^7 - 4*x^6 + 6*x^5 - 5*x^4 - 4*x^3 - 6*x^2 + 4*x + 8) + 72*(26*x^7 - 38*x^6 + 42*x^5 - 46*x^4 + 46*x^3 - 42*x^2 + sqrt(3)*(15*x^7 - 22*x^6 + 24*x^5 - 27*x^4 + 26*x^3 - 24*x^2 + 12*x - 4) + 20*x - 8)*sqrt(-672*sqrt(3) + 1164) + 576*x + 2304)/(x^8 + 4*x^7 + 16*x^6 + 16*x^5 + 28*x^4 - 32*x^3 + 64*x^2 - 32*x + 16)))/(x^17 - 13*x^16 - 522*x^15 - 1742*x^14 + 3008*x^13 + 16884*x^12 + 11656*x^11 - 23944*x^10 - 42336*x^9 - 9136*x^8 + 36256*x^7 + 27360*x^6 - 256*x^5 - 13376*x^4 - 5760*x^3 + 1664*x^2 + 256*x)) + 1/432*sqrt(2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(56*sqrt(3) + 97)*sqrt(-56*sqrt(3) + 97)*(-672*sqrt(3) + 1164)^(3/4)*arctan(1/1296*(6*sqrt(x^3 - 1)*((459*x^16 + 13425*x^15 - 33201*x^14 - 950652*x^13 - 997302*x^12 + 14760972*x^11 + 47069892*x^10 + 49762248*x^9 - 8212536*x^8 - 84377808*x^7 - 88427328*x^6 - 25613856*x^5 + 27458496*x^4 + 36433344*x^3 + 12609792*x^2 + sqrt(3)*(265*x^16 + 7751*x^15 - 19167*x^14 - 548864*x^13 - 575818*x^12 + 8522268*x^11 + 27175852*x^10 + 28730312*x^9 - 4741560*x^8 - 48715600*x^7 - 51053600*x^6 - 14788128*x^5 + 15853184*x^4 + 21034816*x^3 + 7280256*x^2 + 2488832*x - 1889792) - (3691*x^16 + 6128*x^15 - 537864*x^14 - 1586477*x^13 + 16210952*x^12 + 77181756*x^11 + 84218362*x^10 - 71018320*x^9 - 254455812*x^8 - 196076008*x^7 + 120105208*x^6 + 256326864*x^5 + 134645168*x^4 - 78464672*x^3 - 78514944*x^2 + sqrt(3)*(2131*x^16 + 3538*x^15 - 310536*x^14 - 915953*x^13 + 9359398*x^12 + 44560908*x^11 + 48623494*x^10 - 41002448*x^9 - 146910132*x^8 - 113204536*x^7 + 69342776*x^6 + 147990384*x^5 + 77737424*x^4 - 45301600*x^3 - 45330624*x^2 - 12242560*x + 7598336) - 21204736*x + 13160704)*sqrt(-672*sqrt(3) + 1164) + 4310784*x - 3273216)*(-672*sqrt(3) + 1164)^(3/4) + 3*(984*x^15 + 30612*x^14 + 164676*x^13 + 205368*x^12 - 289200*x^11 - 183720*x^10 + 886752*x^9 + 71568*x^8 - 1960992*x^7 - 1849440*x^6 + 1558464*x^5 + 2478912*x^4 + 66432*x^3 - 750336*x^2 + 4*sqrt(3)*(142*x^15 + 4419*x^14 + 23781*x^13 + 29608*x^12 - 41940*x^11 - 26454*x^10 + 128152*x^9 + 10692*x^8 - 283320*x^7 - 267064*x^6 + 224784*x^5 + 357936*x^4 + 9632*x^3 - 108288*x^2 - 96000*x + 33920) - (4945*x^15 + 88617*x^14 + 738528*x^13 + 1860046*x^12 - 784596*x^11 - 7668708*x^10 - 6570680*x^9 + 6903864*x^8 + 15444144*x^7 + 4312832*x^6 - 9559200*x^5 - 9359808*x^4 - 155968*x^3 + 3016704*x^2 + sqrt(3)*(2855*x^15 + 51163*x^14 + 426388*x^13 + 1073898*x^12 - 452980*x^11 - 4427548*x^10 - 3793592*x^9 + 3985944*x^8 + 8916720*x^7 + 2490016*x^6 - 5519008*x^5 - 5403904*x^4 - 90048*x^3 + 1741696*x^2 + 1543936*x - 545536) + 2674176*x - 944896)*sqrt(-672*sqrt(3) + 1164) - 665088*x + 235008)*(-672*sqrt(3) + 1164)^(1/4))*sqrt(2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*sqrt(-56*sqrt(3) + 97) - 36*(144*x^17 + 5976*x^16 + 5544*x^15 - 299664*x^14 - 1062360*x^13 - 116712*x^12 + 3600000*x^11 + 4761216*x^10 - 1046592*x^9 - 8676864*x^8 - 6592896*x^7 + 2641536*x^6 + 7016832*x^5 + 3699072*x^4 - 1861632*x^3 - 1640448*x^2 + 12*sqrt(3)*(7*x^17 + 286*x^16 + 238*x^15 - 14255*x^14 - 50390*x^13 - 5942*x^12 + 171808*x^11 + 226888*x^10 - 48920*x^9 - 415384*x^8 - 315088*x^7 + 125600*x^6 + 336608*x^5 + 177344*x^4 - 89152*x^3 - 78784*x^2 - 39040*x + 18176) + (1164*x^17 + 6276*x^16 - 26052*x^15 - 332844*x^14 - 1632156*x^13 - 4149132*x^12 - 5805024*x^11 - 318696*x^10 + 12621072*x^9 + 19878720*x^8 + 9619008*x^7 - 13361088*x^6 - 20168256*x^5 - 10936128*x^4 + 6434304*x^3 + 6426240*x^2 + 24*sqrt(3)*(28*x^17 + 151*x^16 - 626*x^15 - 8006*x^14 - 39266*x^13 - 99812*x^12 - 139652*x^11 - 7661*x^10 + 303610*x^9 + 478214*x^8 + 231392*x^7 - 321412*x^6 - 485176*x^5 - 263080*x^4 + 154784*x^3 + 154592*x^2 + 78464*x - 36544) - (2340*x^17 + 96354*x^16 + 84798*x^15 - 4817124*x^14 - 17052930*x^13 - 1941678*x^12 + 57963744*x^11 + 76603680*x^10 - 16678512*x^9 - 139922496*x^8 - 106227360*x^7 + 42453216*x^6 + 113269536*x^5 + 59694624*x^4 - 30025728*x^3 - 26496000*x^2 + sqrt(3)*(1351*x^17 + 55630*x^16 + 48958*x^15 - 2781167*x^14 - 9845510*x^13 - 1121030*x^12 + 33465376*x^11 + 44227144*x^10 - 9629336*x^9 - 80784280*x^8 - 61330384*x^7 + 24510368*x^6 + 65396192*x^5 + 34464704*x^4 - 17335360*x^3 - 15297472*x^2 - 7571584*x + 3526400) - 13114368*x + 6107904)*sqrt(-672*sqrt(3) + 1164) + 3261696*x - 1519104)*sqrt(-672*sqrt(3) + 1164) - 12*(97*x^17 + 523*x^16 - 2171*x^15 - 27737*x^14 - 136013*x^13 - 345761*x^12 - 483752*x^11 - 26558*x^10 + 1051756*x^9 + 1656560*x^8 + 801584*x^7 - 1113424*x^6 - 1680688*x^5 - 911344*x^4 + 536192*x^3 + 535520*x^2 + 2*sqrt(3)*(28*x^17 + 151*x^16 - 626*x^15 - 8006*x^14 - 39266*x^13 - 99812*x^12 - 139652*x^11 - 7661*x^10 + 303610*x^9 + 478214*x^8 + 231392*x^7 - 321412*x^6 - 485176*x^5 - 263080*x^4 + 154784*x^3 + 154592*x^2 + 78464*x - 36544) + 271808*x - 126592)*sqrt(-672*sqrt(3) + 1164) - 811008*x + 377856)*sqrt(-56*sqrt(3) + 97) - (sqrt(x^3 - 1)*((459*x^16 + 1557*x^15 - 26415*x^14 + 1449954*x^13 + 4677912*x^12 - 12651948*x^11 - 55684800*x^10 - 62834256*x^9 + 8526168*x^8 + 105313392*x^7 + 99605088*x^6 + 18897984*x^5 - 42499296*x^4 - 37357632*x^3 - 8256960*x^2 + sqrt(3)*(265*x^16 + 899*x^15 - 15249*x^14 + 837130*x^13 + 2700776*x^12 - 7304604*x^11 - 32149640*x^10 - 36277360*x^9 + 4922568*x^8 + 60802736*x^7 + 57507040*x^6 + 10910784*x^5 - 24536992*x^4 - 21568448*x^3 - 4767168*x^2 - 1207168*x + 1383424) - (3691*x^16 - 17731*x^15 - 951114*x^14 - 450359*x^13 + 4370159*x^12 - 30318522*x^11 - 78096668*x^10 - 9429316*x^9 + 146877876*x^8 + 197107784*x^7 - 30834152*x^6 - 185125776*x^5 - 132260896*x^4 + 45545344*x^3 + 69517536*x^2 + sqrt(3)*(2131*x^16 - 10237*x^15 - 549126*x^14 - 260015*x^13 + 2523113*x^12 - 17504406*x^11 - 45089132*x^10 - 5444020*x^9 + 84799980*x^8 + 113800232*x^7 - 17802104*x^6 - 106882416*x^5 - 76360864*x^4 + 26295616*x^3 + 40135968*x^2 + 7907648*x - 5562368) + 13696448*x - 9634304)*sqrt(-672*sqrt(3) + 1164) - 2090880*x + 2396160)*(-672*sqrt(3) + 1164)^(3/4) + 3*(984*x^15 + 14712*x^14 - 53940*x^13 - 411732*x^12 - 280248*x^11 + 324624*x^10 + 180816*x^9 + 518544*x^8 + 974304*x^7 + 887136*x^6 - 1404096*x^5 - 1843584*x^4 + 135936*x^3 + 696192*x^2 + 4*sqrt(3)*(142*x^15 + 2124*x^14 - 7773*x^13 - 59447*x^12 - 40626*x^11 + 46860*x^10 + 26308*x^9 + 75276*x^8 + 140472*x^7 + 127784*x^6 - 202896*x^5 - 266016*x^4 + 19712*x^3 + 100512*x^2 + 62400*x - 24832) - (4945*x^15 + 37473*x^14 - 490698*x^13 - 2249468*x^12 + 474132*x^11 + 8423784*x^10 + 5853520*x^9 - 8451720*x^8 - 15320016*x^7 - 768064*x^6 + 10405056*x^5 + 6627744*x^4 - 700480*x^3 - 2799552*x^2 + sqrt(3)*(2855*x^15 + 21635*x^14 - 283306*x^13 - 1298732*x^12 + 273748*x^11 + 4863472*x^10 + 3379536*x^9 - 4879608*x^8 - 8845008*x^7 - 443456*x^6 + 6007360*x^5 + 3826528*x^4 - 404416*x^3 - 1616320*x^2 - 1003648*x + 399360) - 1738368*x + 691712)*sqrt(-672*sqrt(3) + 1164) + 432384*x - 172032)*(-672*sqrt(3) + 1164)^(1/4))*sqrt(2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*sqrt(-56*sqrt(3) + 97) - 6*(4680*x^16 + 60552*x^15 + 89856*x^14 - 278280*x^13 + 64440*x^12 + 1285200*x^11 - 255600*x^10 - 3098880*x^9 - 1770336*x^8 + 3614400*x^7 + 3895488*x^6 - 1199232*x^5 - 2905344*x^4 - 681984*x^3 + 649728*x^2 + 108*sqrt(3)*(25*x^16 + 324*x^15 + 489*x^14 - 1482*x^13 + 316*x^12 + 6984*x^11 - 1312*x^10 - 16624*x^9 - 9792*x^8 + 19328*x^7 + 20976*x^6 - 6240*x^5 - 15552*x^4 - 3712*x^3 + 3456*x^2 + 4096*x - 1280) + (1164*x^17 - 1248*x^16 - 246120*x^15 - 518172*x^14 + 2607528*x^13 + 8301144*x^12 + 7017600*x^11 - 6258120*x^10 - 21360336*x^9 - 16998960*x^8 + 966336*x^7 + 18216672*x^6 + 15860544*x^5 + 4720704*x^4 - 6023424*x^3 - 5362176*x^2 + 48*sqrt(3)*(14*x^17 - 15*x^16 - 2960*x^15 - 6232*x^14 + 31362*x^13 + 99844*x^12 + 84404*x^11 - 75267*x^10 - 256916*x^9 - 204458*x^8 + 11616*x^7 + 219104*x^6 + 190768*x^5 + 56784*x^4 - 72448*x^3 - 64496*x^2 - 24480*x + 13376) - (2340*x^17 + 35850*x^16 - 106410*x^15 + 2064744*x^14 + 11945946*x^13 + 1710042*x^12 - 46293732*x^11 - 59161524*x^10 + 18480192*x^9 + 122366520*x^8 + 81203856*x^7 - 45222000*x^6 - 100598112*x^5 - 42207168*x^4 + 29609472*x^3 + 22458240*x^2 + sqrt(3)*(1351*x^17 + 20698*x^16 - 61436*x^15 + 1192081*x^14 + 6896998*x^13 + 987292*x^12 - 26727704*x^11 - 34156928*x^10 + 10669552*x^9 + 70648352*x^8 + 46883072*x^7 - 26108944*x^6 - 58080352*x^5 - 24368320*x^4 + 17095040*x^3 + 12966272*x^2 + 4724480*x - 2581504) + 8183040*x - 4471296)*sqrt(-672*sqrt(3) + 1164) - 2035200*x + 1112064)*sqrt(-672*sqrt(3) + 1164) - 24*(627*x^16 + 14286*x^15 + 39762*x^14 - 50142*x^13 - 216816*x^12 - 112284*x^11 + 325707*x^10 + 586326*x^9 - 3294*x^8 - 631752*x^7 - 539220*x^6 + 184392*x^5 + 483816*x^4 + 115296*x^3 - 108576*x^2 + 2*sqrt(3)*(181*x^16 + 4124*x^15 + 11478*x^14 - 14474*x^13 - 62584*x^12 - 32412*x^11 + 94021*x^10 + 169244*x^9 - 954*x^8 - 182368*x^7 - 155648*x^6 + 53232*x^5 + 139664*x^4 + 33280*x^3 - 31344*x^2 - 37024*x + 11584) - 128256*x + 40128)*sqrt(-672*sqrt(3) + 1164) + 764928*x - 239616)*sqrt(-56*sqrt(3) + 97))*sqrt((36*x^8 - 72*x^7 + 1656*x^6 - 720*x^5 + 1440*x^4 - 2016*x^3 - (60*x^6 - 324*x^5 + 576*x^4 - 696*x^3 + 432*x^2 + 36*sqrt(3)*(x^6 - 5*x^5 + 10*x^4 - 10*x^3 + 8*x^2 - 4*x) - (123*x^6 - 2016*x^5 + 2214*x^4 - 2064*x^3 + 396*x^2 + sqrt(3)*(71*x^6 - 1164*x^5 + 1278*x^4 - 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(-672*sqrt(3) + 1164) - 144*x + 96)*sqrt(x^3 - 1)*sqrt(2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(-672*sqrt(3) + 1164)^(1/4) - 288*x^2 - 144*sqrt(3)*(x^7 - 4*x^6 + 6*x^5 - 5*x^4 - 4*x^3 - 6*x^2 + 4*x + 8) + 72*(26*x^7 - 38*x^6 + 42*x^5 - 46*x^4 + 46*x^3 - 42*x^2 + sqrt(3)*(15*x^7 - 22*x^6 + 24*x^5 - 27*x^4 + 26*x^3 - 24*x^2 + 12*x - 4) + 20*x - 8)*sqrt(-672*sqrt(3) + 1164) + 576*x + 2304)/(x^8 + 4*x^7 + 16*x^6 + 16*x^5 + 28*x^4 - 32*x^3 + 64*x^2 - 32*x + 16)))/(x^17 - 13*x^16 - 522*x^15 - 1742*x^14 + 3008*x^13 + 16884*x^12 + 11656*x^11 - 23944*x^10 - 42336*x^9 - 9136*x^8 + 36256*x^7 + 27360*x^6 - 256*x^5 - 13376*x^4 - 5760*x^3 + 1664*x^2 + 256*x)) + 1/5184*sqrt(2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*((7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) - 12)*(-672*sqrt(3) + 1164)^(1/4)*log(1/36*(36*x^8 - 72*x^7 + 1656*x^6 - 720*x^5 + 1440*x^4 - 2016*x^3 + (60*x^6 - 324*x^5 + 576*x^4 - 696*x^3 + 432*x^2 + 36*sqrt(3)*(x^6 - 5*x^5 + 10*x^4 - 10*x^3 + 8*x^2 - 4*x) - (123*x^6 - 2016*x^5 + 2214*x^4 - 2064*x^3 + 396*x^2 + sqrt(3)*(71*x^6 - 1164*x^5 + 1278*x^4 - 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(-672*sqrt(3) + 1164) - 144*x + 96)*sqrt(x^3 - 1)*sqrt(2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(-672*sqrt(3) + 1164)^(1/4) - 288*x^2 - 144*sqrt(3)*(x^7 - 4*x^6 + 6*x^5 - 5*x^4 - 4*x^3 - 6*x^2 + 4*x + 8) + 72*(26*x^7 - 38*x^6 + 42*x^5 - 46*x^4 + 46*x^3 - 42*x^2 + sqrt(3)*(15*x^7 - 22*x^6 + 24*x^5 - 27*x^4 + 26*x^3 - 24*x^2 + 12*x - 4) + 20*x - 8)*sqrt(-672*sqrt(3) + 1164) + 576*x + 2304)/(x^8 + 4*x^7 + 16*x^6 + 16*x^5 + 28*x^4 - 32*x^3 + 64*x^2 - 32*x + 16)) - 1/5184*sqrt(2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*((7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) - 12)*(-672*sqrt(3) + 1164)^(1/4)*log(1/36*(36*x^8 - 72*x^7 + 1656*x^6 - 720*x^5 + 1440*x^4 - 2016*x^3 - (60*x^6 - 324*x^5 + 576*x^4 - 696*x^3 + 432*x^2 + 36*sqrt(3)*(x^6 - 5*x^5 + 10*x^4 - 10*x^3 + 8*x^2 - 4*x) - (123*x^6 - 2016*x^5 + 2214*x^4 - 2064*x^3 + 396*x^2 + sqrt(3)*(71*x^6 - 1164*x^5 + 1278*x^4 - 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(-672*sqrt(3) + 1164) - 144*x + 96)*sqrt(x^3 - 1)*sqrt(2*(7*sqrt(3) + 12)*sqrt(-672*sqrt(3) + 1164) + 24)*(-672*sqrt(3) + 1164)^(1/4) - 288*x^2 - 144*sqrt(3)*(x^7 - 4*x^6 + 6*x^5 - 5*x^4 - 4*x^3 - 6*x^2 + 4*x + 8) + 72*(26*x^7 - 38*x^6 + 42*x^5 - 46*x^4 + 46*x^3 - 42*x^2 + sqrt(3)*(15*x^7 - 22*x^6 + 24*x^5 - 27*x^4 + 26*x^3 - 24*x^2 + 12*x - 4) + 20*x - 8)*sqrt(-672*sqrt(3) + 1164) + 576*x + 2304)/(x^8 + 4*x^7 + 16*x^6 + 16*x^5 + 28*x^4 - 32*x^3 + 64*x^2 - 32*x + 16)) + 1/72*sqrt(14*sqrt(3) - 24)*log((x^8 + 16*x^7 + 112*x^6 + 16*x^5 + 112*x^4 - 224*x^3 + 64*x^2 - 2*(5*x^6 + 54*x^5 + 96*x^4 + 56*x^3 - 36*x^2 + 3*sqrt(3)*(x^6 + 10*x^5 + 20*x^4 + 8*x^3 - 4*x^2 - 8*x) - 24*x - 16)*sqrt(x^3 - 1)*sqrt(14*sqrt(3) - 24) + 16*sqrt(3)*(x^7 + 2*x^6 + 6*x^5 - 5*x^4 + 2*x^3 - 6*x^2 + 4*x - 4) - 128*x + 112)/(x^8 - 8*x^7 + 16*x^6 + 16*x^5 - 56*x^4 - 32*x^3 + 64*x^2 + 64*x + 16))","B",0
89,1,8105,0,14.812536," ","integrate(x/(-10+x^3+6*3^(1/2))/(x^3-1)^(1/2),x, algorithm=""fricas"")","\frac{1}{216} \, \sqrt{3} \sqrt{-4 \, \sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 24} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} {\left(56 \, \sqrt{3} + 97\right)} {\left(56 \, \sqrt{3} - 97\right)} \arctan\left(-\frac{432 \, \sqrt{3} {\left(97 \, x^{17} + 523 \, x^{16} - 2171 \, x^{15} - 27737 \, x^{14} - 136013 \, x^{13} - 345761 \, x^{12} - 483752 \, x^{11} - 26558 \, x^{10} + 1051756 \, x^{9} + 1656560 \, x^{8} + 801584 \, x^{7} - 1113424 \, x^{6} - 1680688 \, x^{5} - 911344 \, x^{4} + 536192 \, x^{3} + 535520 \, x^{2} - 2 \, \sqrt{3} {\left(28 \, x^{17} + 151 \, x^{16} - 626 \, x^{15} - 8006 \, x^{14} - 39266 \, x^{13} - 99812 \, x^{12} - 139652 \, x^{11} - 7661 \, x^{10} + 303610 \, x^{9} + 478214 \, x^{8} + 231392 \, x^{7} - 321412 \, x^{6} - 485176 \, x^{5} - 263080 \, x^{4} + 154784 \, x^{3} + 154592 \, x^{2} + 78464 \, x - 36544\right)} + 271808 \, x - 126592\right)} {\left(56 \, \sqrt{3} + 97\right)} + 72 \, \sqrt{3} {\left(\sqrt{3} {\left(2340 \, x^{17} + 96354 \, x^{16} + 84798 \, x^{15} - 4817124 \, x^{14} - 17052930 \, x^{13} - 1941678 \, x^{12} + 57963744 \, x^{11} + 76603680 \, x^{10} - 16678512 \, x^{9} - 139922496 \, x^{8} - 106227360 \, x^{7} + 42453216 \, x^{6} + 113269536 \, x^{5} + 59694624 \, x^{4} - 30025728 \, x^{3} - 26496000 \, x^{2} - \sqrt{3} {\left(1351 \, x^{17} + 55630 \, x^{16} + 48958 \, x^{15} - 2781167 \, x^{14} - 9845510 \, x^{13} - 1121030 \, x^{12} + 33465376 \, x^{11} + 44227144 \, x^{10} - 9629336 \, x^{9} - 80784280 \, x^{8} - 61330384 \, x^{7} + 24510368 \, x^{6} + 65396192 \, x^{5} + 34464704 \, x^{4} - 17335360 \, x^{3} - 15297472 \, x^{2} - 7571584 \, x + 3526400\right)} - 13114368 \, x + 6107904\right)} {\left(56 \, \sqrt{3} + 97\right)} - 6 \, {\left(97 \, x^{17} + 523 \, x^{16} - 2171 \, x^{15} - 27737 \, x^{14} - 136013 \, x^{13} - 345761 \, x^{12} - 483752 \, x^{11} - 26558 \, x^{10} + 1051756 \, x^{9} + 1656560 \, x^{8} + 801584 \, x^{7} - 1113424 \, x^{6} - 1680688 \, x^{5} - 911344 \, x^{4} + 536192 \, x^{3} + 535520 \, x^{2} - 2 \, \sqrt{3} {\left(28 \, x^{17} + 151 \, x^{16} - 626 \, x^{15} - 8006 \, x^{14} - 39266 \, x^{13} - 99812 \, x^{12} - 139652 \, x^{11} - 7661 \, x^{10} + 303610 \, x^{9} + 478214 \, x^{8} + 231392 \, x^{7} - 321412 \, x^{6} - 485176 \, x^{5} - 263080 \, x^{4} + 154784 \, x^{3} + 154592 \, x^{2} + 78464 \, x - 36544\right)} + 271808 \, x - 126592\right)} \sqrt{56 \, \sqrt{3} + 97}\right)} \sqrt{56 \, \sqrt{3} + 97} - \sqrt{\frac{1}{2}} {\left(288 \, \sqrt{3} {\left(627 \, x^{16} + 14286 \, x^{15} + 39762 \, x^{14} - 50142 \, x^{13} - 216816 \, x^{12} - 112284 \, x^{11} + 325707 \, x^{10} + 586326 \, x^{9} - 3294 \, x^{8} - 631752 \, x^{7} - 539220 \, x^{6} + 184392 \, x^{5} + 483816 \, x^{4} + 115296 \, x^{3} - 108576 \, x^{2} - 2 \, \sqrt{3} {\left(181 \, x^{16} + 4124 \, x^{15} + 11478 \, x^{14} - 14474 \, x^{13} - 62584 \, x^{12} - 32412 \, x^{11} + 94021 \, x^{10} + 169244 \, x^{9} - 954 \, x^{8} - 182368 \, x^{7} - 155648 \, x^{6} + 53232 \, x^{5} + 139664 \, x^{4} + 33280 \, x^{3} - 31344 \, x^{2} - 37024 \, x + 11584\right)} - 128256 \, x + 40128\right)} {\left(56 \, \sqrt{3} + 97\right)} + 24 \, \sqrt{3} {\left(\sqrt{3} {\left(2340 \, x^{17} + 35850 \, x^{16} - 106410 \, x^{15} + 2064744 \, x^{14} + 11945946 \, x^{13} + 1710042 \, x^{12} - 46293732 \, x^{11} - 59161524 \, x^{10} + 18480192 \, x^{9} + 122366520 \, x^{8} + 81203856 \, x^{7} - 45222000 \, x^{6} - 100598112 \, x^{5} - 42207168 \, x^{4} + 29609472 \, x^{3} + 22458240 \, x^{2} - \sqrt{3} {\left(1351 \, x^{17} + 20698 \, x^{16} - 61436 \, x^{15} + 1192081 \, x^{14} + 6896998 \, x^{13} + 987292 \, x^{12} - 26727704 \, x^{11} - 34156928 \, x^{10} + 10669552 \, x^{9} + 70648352 \, x^{8} + 46883072 \, x^{7} - 26108944 \, x^{6} - 58080352 \, x^{5} - 24368320 \, x^{4} + 17095040 \, x^{3} + 12966272 \, x^{2} + 4724480 \, x - 2581504\right)} + 8183040 \, x - 4471296\right)} {\left(56 \, \sqrt{3} + 97\right)} - 6 \, {\left(97 \, x^{17} - 104 \, x^{16} - 20510 \, x^{15} - 43181 \, x^{14} + 217294 \, x^{13} + 691762 \, x^{12} + 584800 \, x^{11} - 521510 \, x^{10} - 1780028 \, x^{9} - 1416580 \, x^{8} + 80528 \, x^{7} + 1518056 \, x^{6} + 1321712 \, x^{5} + 393392 \, x^{4} - 501952 \, x^{3} - 446848 \, x^{2} - 4 \, \sqrt{3} {\left(14 \, x^{17} - 15 \, x^{16} - 2960 \, x^{15} - 6232 \, x^{14} + 31362 \, x^{13} + 99844 \, x^{12} + 84404 \, x^{11} - 75267 \, x^{10} - 256916 \, x^{9} - 204458 \, x^{8} + 11616 \, x^{7} + 219104 \, x^{6} + 190768 \, x^{5} + 56784 \, x^{4} - 72448 \, x^{3} - 64496 \, x^{2} - 24480 \, x + 13376\right)} - 169600 \, x + 92672\right)} \sqrt{56 \, \sqrt{3} + 97}\right)} \sqrt{56 \, \sqrt{3} + 97} - \sqrt{-4 \, \sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 24} {\left({\left(2 \, \sqrt{3} {\left(3691 \, x^{16} - 17731 \, x^{15} - 951114 \, x^{14} - 450359 \, x^{13} + 4370159 \, x^{12} - 30318522 \, x^{11} - 78096668 \, x^{10} - 9429316 \, x^{9} + 146877876 \, x^{8} + 197107784 \, x^{7} - 30834152 \, x^{6} - 185125776 \, x^{5} - 132260896 \, x^{4} + 45545344 \, x^{3} + 69517536 \, x^{2} - \sqrt{3} {\left(2131 \, x^{16} - 10237 \, x^{15} - 549126 \, x^{14} - 260015 \, x^{13} + 2523113 \, x^{12} - 17504406 \, x^{11} - 45089132 \, x^{10} - 5444020 \, x^{9} + 84799980 \, x^{8} + 113800232 \, x^{7} - 17802104 \, x^{6} - 106882416 \, x^{5} - 76360864 \, x^{4} + 26295616 \, x^{3} + 40135968 \, x^{2} + 7907648 \, x - 5562368\right)} + 13696448 \, x - 9634304\right)} \sqrt{x^{3} - 1} {\left(56 \, \sqrt{3} + 97\right)} - {\left(459 \, x^{16} + 1557 \, x^{15} - 26415 \, x^{14} + 1449954 \, x^{13} + 4677912 \, x^{12} - 12651948 \, x^{11} - 55684800 \, x^{10} - 62834256 \, x^{9} + 8526168 \, x^{8} + 105313392 \, x^{7} + 99605088 \, x^{6} + 18897984 \, x^{5} - 42499296 \, x^{4} - 37357632 \, x^{3} - 8256960 \, x^{2} - \sqrt{3} {\left(265 \, x^{16} + 899 \, x^{15} - 15249 \, x^{14} + 837130 \, x^{13} + 2700776 \, x^{12} - 7304604 \, x^{11} - 32149640 \, x^{10} - 36277360 \, x^{9} + 4922568 \, x^{8} + 60802736 \, x^{7} + 57507040 \, x^{6} + 10910784 \, x^{5} - 24536992 \, x^{4} - 21568448 \, x^{3} - 4767168 \, x^{2} - 1207168 \, x + 1383424\right)} - 2090880 \, x + 2396160\right)} \sqrt{x^{3} - 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 6 \, {\left(\sqrt{3} {\left(4945 \, x^{15} + 37473 \, x^{14} - 490698 \, x^{13} - 2249468 \, x^{12} + 474132 \, x^{11} + 8423784 \, x^{10} + 5853520 \, x^{9} - 8451720 \, x^{8} - 15320016 \, x^{7} - 768064 \, x^{6} + 10405056 \, x^{5} + 6627744 \, x^{4} - 700480 \, x^{3} - 2799552 \, x^{2} - \sqrt{3} {\left(2855 \, x^{15} + 21635 \, x^{14} - 283306 \, x^{13} - 1298732 \, x^{12} + 273748 \, x^{11} + 4863472 \, x^{10} + 3379536 \, x^{9} - 4879608 \, x^{8} - 8845008 \, x^{7} - 443456 \, x^{6} + 6007360 \, x^{5} + 3826528 \, x^{4} - 404416 \, x^{3} - 1616320 \, x^{2} - 1003648 \, x + 399360\right)} - 1738368 \, x + 691712\right)} \sqrt{x^{3} - 1} {\left(56 \, \sqrt{3} + 97\right)} - 2 \, {\left(246 \, x^{15} + 3678 \, x^{14} - 13485 \, x^{13} - 102933 \, x^{12} - 70062 \, x^{11} + 81156 \, x^{10} + 45204 \, x^{9} + 129636 \, x^{8} + 243576 \, x^{7} + 221784 \, x^{6} - 351024 \, x^{5} - 460896 \, x^{4} + 33984 \, x^{3} + 174048 \, x^{2} - \sqrt{3} {\left(142 \, x^{15} + 2124 \, x^{14} - 7773 \, x^{13} - 59447 \, x^{12} - 40626 \, x^{11} + 46860 \, x^{10} + 26308 \, x^{9} + 75276 \, x^{8} + 140472 \, x^{7} + 127784 \, x^{6} - 202896 \, x^{5} - 266016 \, x^{4} + 19712 \, x^{3} + 100512 \, x^{2} + 62400 \, x - 24832\right)} + 108096 \, x - 43008\right)} \sqrt{x^{3} - 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} - 216 \, {\left(130 \, x^{16} + 1682 \, x^{15} + 2496 \, x^{14} - 7730 \, x^{13} + 1790 \, x^{12} + 35700 \, x^{11} - 7100 \, x^{10} - 86080 \, x^{9} - 49176 \, x^{8} + 100400 \, x^{7} + 108208 \, x^{6} - 33312 \, x^{5} - 80704 \, x^{4} - 18944 \, x^{3} + 18048 \, x^{2} - 3 \, \sqrt{3} {\left(25 \, x^{16} + 324 \, x^{15} + 489 \, x^{14} - 1482 \, x^{13} + 316 \, x^{12} + 6984 \, x^{11} - 1312 \, x^{10} - 16624 \, x^{9} - 9792 \, x^{8} + 19328 \, x^{7} + 20976 \, x^{6} - 6240 \, x^{5} - 15552 \, x^{4} - 3712 \, x^{3} + 3456 \, x^{2} + 4096 \, x - 1280\right)} + 21248 \, x - 6656\right)} \sqrt{56 \, \sqrt{3} + 97}\right)} \sqrt{\frac{18 \, x^{8} - 36 \, x^{7} + 828 \, x^{6} - 360 \, x^{5} + 720 \, x^{4} - 1008 \, x^{3} - 144 \, x^{2} + 72 \, \sqrt{3} {\left(26 \, x^{7} - 38 \, x^{6} + 42 \, x^{5} - 46 \, x^{4} + 46 \, x^{3} - 42 \, x^{2} - \sqrt{3} {\left(15 \, x^{7} - 22 \, x^{6} + 24 \, x^{5} - 27 \, x^{4} + 26 \, x^{3} - 24 \, x^{2} + 12 \, x - 4\right)} + 20 \, x - 8\right)} \sqrt{56 \, \sqrt{3} + 97} + {\left(\sqrt{3} {\left(123 \, x^{6} - 2016 \, x^{5} + 2214 \, x^{4} - 2064 \, x^{3} + 396 \, x^{2} - \sqrt{3} {\left(71 \, x^{6} - 1164 \, x^{5} + 1278 \, x^{4} - 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{x^{3} - 1} \sqrt{56 \, \sqrt{3} + 97} - 6 \, {\left(5 \, x^{6} - 27 \, x^{5} + 48 \, x^{4} - 58 \, x^{3} + 36 \, x^{2} - 3 \, \sqrt{3} {\left(x^{6} - 5 \, x^{5} + 10 \, x^{4} - 10 \, x^{3} + 8 \, x^{2} - 4 \, x\right)} - 12 \, x + 8\right)} \sqrt{x^{3} - 1}\right)} \sqrt{-4 \, \sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 24} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} + 72 \, \sqrt{3} {\left(x^{7} - 4 \, x^{6} + 6 \, x^{5} - 5 \, x^{4} - 4 \, x^{3} - 6 \, x^{2} + 4 \, x + 8\right)} + 288 \, x + 1152}{x^{8} + 4 \, x^{7} + 16 \, x^{6} + 16 \, x^{5} + 28 \, x^{4} - 32 \, x^{3} + 64 \, x^{2} - 32 \, x + 16}} - 3 \, \sqrt{-4 \, \sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 24} {\left({\left(2 \, \sqrt{3} {\left(3691 \, x^{16} + 6128 \, x^{15} - 537864 \, x^{14} - 1586477 \, x^{13} + 16210952 \, x^{12} + 77181756 \, x^{11} + 84218362 \, x^{10} - 71018320 \, x^{9} - 254455812 \, x^{8} - 196076008 \, x^{7} + 120105208 \, x^{6} + 256326864 \, x^{5} + 134645168 \, x^{4} - 78464672 \, x^{3} - 78514944 \, x^{2} - \sqrt{3} {\left(2131 \, x^{16} + 3538 \, x^{15} - 310536 \, x^{14} - 915953 \, x^{13} + 9359398 \, x^{12} + 44560908 \, x^{11} + 48623494 \, x^{10} - 41002448 \, x^{9} - 146910132 \, x^{8} - 113204536 \, x^{7} + 69342776 \, x^{6} + 147990384 \, x^{5} + 77737424 \, x^{4} - 45301600 \, x^{3} - 45330624 \, x^{2} - 12242560 \, x + 7598336\right)} - 21204736 \, x + 13160704\right)} \sqrt{x^{3} - 1} {\left(56 \, \sqrt{3} + 97\right)} - {\left(459 \, x^{16} + 13425 \, x^{15} - 33201 \, x^{14} - 950652 \, x^{13} - 997302 \, x^{12} + 14760972 \, x^{11} + 47069892 \, x^{10} + 49762248 \, x^{9} - 8212536 \, x^{8} - 84377808 \, x^{7} - 88427328 \, x^{6} - 25613856 \, x^{5} + 27458496 \, x^{4} + 36433344 \, x^{3} + 12609792 \, x^{2} - \sqrt{3} {\left(265 \, x^{16} + 7751 \, x^{15} - 19167 \, x^{14} - 548864 \, x^{13} - 575818 \, x^{12} + 8522268 \, x^{11} + 27175852 \, x^{10} + 28730312 \, x^{9} - 4741560 \, x^{8} - 48715600 \, x^{7} - 51053600 \, x^{6} - 14788128 \, x^{5} + 15853184 \, x^{4} + 21034816 \, x^{3} + 7280256 \, x^{2} + 2488832 \, x - 1889792\right)} + 4310784 \, x - 3273216\right)} \sqrt{x^{3} - 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 6 \, {\left(\sqrt{3} {\left(4945 \, x^{15} + 88617 \, x^{14} + 738528 \, x^{13} + 1860046 \, x^{12} - 784596 \, x^{11} - 7668708 \, x^{10} - 6570680 \, x^{9} + 6903864 \, x^{8} + 15444144 \, x^{7} + 4312832 \, x^{6} - 9559200 \, x^{5} - 9359808 \, x^{4} - 155968 \, x^{3} + 3016704 \, x^{2} - \sqrt{3} {\left(2855 \, x^{15} + 51163 \, x^{14} + 426388 \, x^{13} + 1073898 \, x^{12} - 452980 \, x^{11} - 4427548 \, x^{10} - 3793592 \, x^{9} + 3985944 \, x^{8} + 8916720 \, x^{7} + 2490016 \, x^{6} - 5519008 \, x^{5} - 5403904 \, x^{4} - 90048 \, x^{3} + 1741696 \, x^{2} + 1543936 \, x - 545536\right)} + 2674176 \, x - 944896\right)} \sqrt{x^{3} - 1} {\left(56 \, \sqrt{3} + 97\right)} - 2 \, {\left(246 \, x^{15} + 7653 \, x^{14} + 41169 \, x^{13} + 51342 \, x^{12} - 72300 \, x^{11} - 45930 \, x^{10} + 221688 \, x^{9} + 17892 \, x^{8} - 490248 \, x^{7} - 462360 \, x^{6} + 389616 \, x^{5} + 619728 \, x^{4} + 16608 \, x^{3} - 187584 \, x^{2} - \sqrt{3} {\left(142 \, x^{15} + 4419 \, x^{14} + 23781 \, x^{13} + 29608 \, x^{12} - 41940 \, x^{11} - 26454 \, x^{10} + 128152 \, x^{9} + 10692 \, x^{8} - 283320 \, x^{7} - 267064 \, x^{6} + 224784 \, x^{5} + 357936 \, x^{4} + 9632 \, x^{3} - 108288 \, x^{2} - 96000 \, x + 33920\right)} - 166272 \, x + 58752\right)} \sqrt{x^{3} - 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} - 216 \, {\left(12 \, x^{17} + 498 \, x^{16} + 462 \, x^{15} - 24972 \, x^{14} - 88530 \, x^{13} - 9726 \, x^{12} + 300000 \, x^{11} + 396768 \, x^{10} - 87216 \, x^{9} - 723072 \, x^{8} - 549408 \, x^{7} + 220128 \, x^{6} + 584736 \, x^{5} + 308256 \, x^{4} - 155136 \, x^{3} - 136704 \, x^{2} - \sqrt{3} {\left(7 \, x^{17} + 286 \, x^{16} + 238 \, x^{15} - 14255 \, x^{14} - 50390 \, x^{13} - 5942 \, x^{12} + 171808 \, x^{11} + 226888 \, x^{10} - 48920 \, x^{9} - 415384 \, x^{8} - 315088 \, x^{7} + 125600 \, x^{6} + 336608 \, x^{5} + 177344 \, x^{4} - 89152 \, x^{3} - 78784 \, x^{2} - 39040 \, x + 18176\right)} - 67584 \, x + 31488\right)} \sqrt{56 \, \sqrt{3} + 97}}{648 \, {\left(x^{17} - 13 \, x^{16} - 522 \, x^{15} - 1742 \, x^{14} + 3008 \, x^{13} + 16884 \, x^{12} + 11656 \, x^{11} - 23944 \, x^{10} - 42336 \, x^{9} - 9136 \, x^{8} + 36256 \, x^{7} + 27360 \, x^{6} - 256 \, x^{5} - 13376 \, x^{4} - 5760 \, x^{3} + 1664 \, x^{2} + 256 \, x\right)}}\right) + \frac{1}{216} \, \sqrt{3} \sqrt{-4 \, \sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 24} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} {\left(56 \, \sqrt{3} + 97\right)} {\left(56 \, \sqrt{3} - 97\right)} \arctan\left(\frac{432 \, \sqrt{3} {\left(97 \, x^{17} + 523 \, x^{16} - 2171 \, x^{15} - 27737 \, x^{14} - 136013 \, x^{13} - 345761 \, x^{12} - 483752 \, x^{11} - 26558 \, x^{10} + 1051756 \, x^{9} + 1656560 \, x^{8} + 801584 \, x^{7} - 1113424 \, x^{6} - 1680688 \, x^{5} - 911344 \, x^{4} + 536192 \, x^{3} + 535520 \, x^{2} - 2 \, \sqrt{3} {\left(28 \, x^{17} + 151 \, x^{16} - 626 \, x^{15} - 8006 \, x^{14} - 39266 \, x^{13} - 99812 \, x^{12} - 139652 \, x^{11} - 7661 \, x^{10} + 303610 \, x^{9} + 478214 \, x^{8} + 231392 \, x^{7} - 321412 \, x^{6} - 485176 \, x^{5} - 263080 \, x^{4} + 154784 \, x^{3} + 154592 \, x^{2} + 78464 \, x - 36544\right)} + 271808 \, x - 126592\right)} {\left(56 \, \sqrt{3} + 97\right)} + 72 \, \sqrt{3} {\left(\sqrt{3} {\left(2340 \, x^{17} + 96354 \, x^{16} + 84798 \, x^{15} - 4817124 \, x^{14} - 17052930 \, x^{13} - 1941678 \, x^{12} + 57963744 \, x^{11} + 76603680 \, x^{10} - 16678512 \, x^{9} - 139922496 \, x^{8} - 106227360 \, x^{7} + 42453216 \, x^{6} + 113269536 \, x^{5} + 59694624 \, x^{4} - 30025728 \, x^{3} - 26496000 \, x^{2} - \sqrt{3} {\left(1351 \, x^{17} + 55630 \, x^{16} + 48958 \, x^{15} - 2781167 \, x^{14} - 9845510 \, x^{13} - 1121030 \, x^{12} + 33465376 \, x^{11} + 44227144 \, x^{10} - 9629336 \, x^{9} - 80784280 \, x^{8} - 61330384 \, x^{7} + 24510368 \, x^{6} + 65396192 \, x^{5} + 34464704 \, x^{4} - 17335360 \, x^{3} - 15297472 \, x^{2} - 7571584 \, x + 3526400\right)} - 13114368 \, x + 6107904\right)} {\left(56 \, \sqrt{3} + 97\right)} - 6 \, {\left(97 \, x^{17} + 523 \, x^{16} - 2171 \, x^{15} - 27737 \, x^{14} - 136013 \, x^{13} - 345761 \, x^{12} - 483752 \, x^{11} - 26558 \, x^{10} + 1051756 \, x^{9} + 1656560 \, x^{8} + 801584 \, x^{7} - 1113424 \, x^{6} - 1680688 \, x^{5} - 911344 \, x^{4} + 536192 \, x^{3} + 535520 \, x^{2} - 2 \, \sqrt{3} {\left(28 \, x^{17} + 151 \, x^{16} - 626 \, x^{15} - 8006 \, x^{14} - 39266 \, x^{13} - 99812 \, x^{12} - 139652 \, x^{11} - 7661 \, x^{10} + 303610 \, x^{9} + 478214 \, x^{8} + 231392 \, x^{7} - 321412 \, x^{6} - 485176 \, x^{5} - 263080 \, x^{4} + 154784 \, x^{3} + 154592 \, x^{2} + 78464 \, x - 36544\right)} + 271808 \, x - 126592\right)} \sqrt{56 \, \sqrt{3} + 97}\right)} \sqrt{56 \, \sqrt{3} + 97} - \sqrt{\frac{1}{2}} {\left(288 \, \sqrt{3} {\left(627 \, x^{16} + 14286 \, x^{15} + 39762 \, x^{14} - 50142 \, x^{13} - 216816 \, x^{12} - 112284 \, x^{11} + 325707 \, x^{10} + 586326 \, x^{9} - 3294 \, x^{8} - 631752 \, x^{7} - 539220 \, x^{6} + 184392 \, x^{5} + 483816 \, x^{4} + 115296 \, x^{3} - 108576 \, x^{2} - 2 \, \sqrt{3} {\left(181 \, x^{16} + 4124 \, x^{15} + 11478 \, x^{14} - 14474 \, x^{13} - 62584 \, x^{12} - 32412 \, x^{11} + 94021 \, x^{10} + 169244 \, x^{9} - 954 \, x^{8} - 182368 \, x^{7} - 155648 \, x^{6} + 53232 \, x^{5} + 139664 \, x^{4} + 33280 \, x^{3} - 31344 \, x^{2} - 37024 \, x + 11584\right)} - 128256 \, x + 40128\right)} {\left(56 \, \sqrt{3} + 97\right)} + 24 \, \sqrt{3} {\left(\sqrt{3} {\left(2340 \, x^{17} + 35850 \, x^{16} - 106410 \, x^{15} + 2064744 \, x^{14} + 11945946 \, x^{13} + 1710042 \, x^{12} - 46293732 \, x^{11} - 59161524 \, x^{10} + 18480192 \, x^{9} + 122366520 \, x^{8} + 81203856 \, x^{7} - 45222000 \, x^{6} - 100598112 \, x^{5} - 42207168 \, x^{4} + 29609472 \, x^{3} + 22458240 \, x^{2} - \sqrt{3} {\left(1351 \, x^{17} + 20698 \, x^{16} - 61436 \, x^{15} + 1192081 \, x^{14} + 6896998 \, x^{13} + 987292 \, x^{12} - 26727704 \, x^{11} - 34156928 \, x^{10} + 10669552 \, x^{9} + 70648352 \, x^{8} + 46883072 \, x^{7} - 26108944 \, x^{6} - 58080352 \, x^{5} - 24368320 \, x^{4} + 17095040 \, x^{3} + 12966272 \, x^{2} + 4724480 \, x - 2581504\right)} + 8183040 \, x - 4471296\right)} {\left(56 \, \sqrt{3} + 97\right)} - 6 \, {\left(97 \, x^{17} - 104 \, x^{16} - 20510 \, x^{15} - 43181 \, x^{14} + 217294 \, x^{13} + 691762 \, x^{12} + 584800 \, x^{11} - 521510 \, x^{10} - 1780028 \, x^{9} - 1416580 \, x^{8} + 80528 \, x^{7} + 1518056 \, x^{6} + 1321712 \, x^{5} + 393392 \, x^{4} - 501952 \, x^{3} - 446848 \, x^{2} - 4 \, \sqrt{3} {\left(14 \, x^{17} - 15 \, x^{16} - 2960 \, x^{15} - 6232 \, x^{14} + 31362 \, x^{13} + 99844 \, x^{12} + 84404 \, x^{11} - 75267 \, x^{10} - 256916 \, x^{9} - 204458 \, x^{8} + 11616 \, x^{7} + 219104 \, x^{6} + 190768 \, x^{5} + 56784 \, x^{4} - 72448 \, x^{3} - 64496 \, x^{2} - 24480 \, x + 13376\right)} - 169600 \, x + 92672\right)} \sqrt{56 \, \sqrt{3} + 97}\right)} \sqrt{56 \, \sqrt{3} + 97} + \sqrt{-4 \, \sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 24} {\left({\left(2 \, \sqrt{3} {\left(3691 \, x^{16} - 17731 \, x^{15} - 951114 \, x^{14} - 450359 \, x^{13} + 4370159 \, x^{12} - 30318522 \, x^{11} - 78096668 \, x^{10} - 9429316 \, x^{9} + 146877876 \, x^{8} + 197107784 \, x^{7} - 30834152 \, x^{6} - 185125776 \, x^{5} - 132260896 \, x^{4} + 45545344 \, x^{3} + 69517536 \, x^{2} - \sqrt{3} {\left(2131 \, x^{16} - 10237 \, x^{15} - 549126 \, x^{14} - 260015 \, x^{13} + 2523113 \, x^{12} - 17504406 \, x^{11} - 45089132 \, x^{10} - 5444020 \, x^{9} + 84799980 \, x^{8} + 113800232 \, x^{7} - 17802104 \, x^{6} - 106882416 \, x^{5} - 76360864 \, x^{4} + 26295616 \, x^{3} + 40135968 \, x^{2} + 7907648 \, x - 5562368\right)} + 13696448 \, x - 9634304\right)} \sqrt{x^{3} - 1} {\left(56 \, \sqrt{3} + 97\right)} - {\left(459 \, x^{16} + 1557 \, x^{15} - 26415 \, x^{14} + 1449954 \, x^{13} + 4677912 \, x^{12} - 12651948 \, x^{11} - 55684800 \, x^{10} - 62834256 \, x^{9} + 8526168 \, x^{8} + 105313392 \, x^{7} + 99605088 \, x^{6} + 18897984 \, x^{5} - 42499296 \, x^{4} - 37357632 \, x^{3} - 8256960 \, x^{2} - \sqrt{3} {\left(265 \, x^{16} + 899 \, x^{15} - 15249 \, x^{14} + 837130 \, x^{13} + 2700776 \, x^{12} - 7304604 \, x^{11} - 32149640 \, x^{10} - 36277360 \, x^{9} + 4922568 \, x^{8} + 60802736 \, x^{7} + 57507040 \, x^{6} + 10910784 \, x^{5} - 24536992 \, x^{4} - 21568448 \, x^{3} - 4767168 \, x^{2} - 1207168 \, x + 1383424\right)} - 2090880 \, x + 2396160\right)} \sqrt{x^{3} - 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 6 \, {\left(\sqrt{3} {\left(4945 \, x^{15} + 37473 \, x^{14} - 490698 \, x^{13} - 2249468 \, x^{12} + 474132 \, x^{11} + 8423784 \, x^{10} + 5853520 \, x^{9} - 8451720 \, x^{8} - 15320016 \, x^{7} - 768064 \, x^{6} + 10405056 \, x^{5} + 6627744 \, x^{4} - 700480 \, x^{3} - 2799552 \, x^{2} - \sqrt{3} {\left(2855 \, x^{15} + 21635 \, x^{14} - 283306 \, x^{13} - 1298732 \, x^{12} + 273748 \, x^{11} + 4863472 \, x^{10} + 3379536 \, x^{9} - 4879608 \, x^{8} - 8845008 \, x^{7} - 443456 \, x^{6} + 6007360 \, x^{5} + 3826528 \, x^{4} - 404416 \, x^{3} - 1616320 \, x^{2} - 1003648 \, x + 399360\right)} - 1738368 \, x + 691712\right)} \sqrt{x^{3} - 1} {\left(56 \, \sqrt{3} + 97\right)} - 2 \, {\left(246 \, x^{15} + 3678 \, x^{14} - 13485 \, x^{13} - 102933 \, x^{12} - 70062 \, x^{11} + 81156 \, x^{10} + 45204 \, x^{9} + 129636 \, x^{8} + 243576 \, x^{7} + 221784 \, x^{6} - 351024 \, x^{5} - 460896 \, x^{4} + 33984 \, x^{3} + 174048 \, x^{2} - \sqrt{3} {\left(142 \, x^{15} + 2124 \, x^{14} - 7773 \, x^{13} - 59447 \, x^{12} - 40626 \, x^{11} + 46860 \, x^{10} + 26308 \, x^{9} + 75276 \, x^{8} + 140472 \, x^{7} + 127784 \, x^{6} - 202896 \, x^{5} - 266016 \, x^{4} + 19712 \, x^{3} + 100512 \, x^{2} + 62400 \, x - 24832\right)} + 108096 \, x - 43008\right)} \sqrt{x^{3} - 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} - 216 \, {\left(130 \, x^{16} + 1682 \, x^{15} + 2496 \, x^{14} - 7730 \, x^{13} + 1790 \, x^{12} + 35700 \, x^{11} - 7100 \, x^{10} - 86080 \, x^{9} - 49176 \, x^{8} + 100400 \, x^{7} + 108208 \, x^{6} - 33312 \, x^{5} - 80704 \, x^{4} - 18944 \, x^{3} + 18048 \, x^{2} - 3 \, \sqrt{3} {\left(25 \, x^{16} + 324 \, x^{15} + 489 \, x^{14} - 1482 \, x^{13} + 316 \, x^{12} + 6984 \, x^{11} - 1312 \, x^{10} - 16624 \, x^{9} - 9792 \, x^{8} + 19328 \, x^{7} + 20976 \, x^{6} - 6240 \, x^{5} - 15552 \, x^{4} - 3712 \, x^{3} + 3456 \, x^{2} + 4096 \, x - 1280\right)} + 21248 \, x - 6656\right)} \sqrt{56 \, \sqrt{3} + 97}\right)} \sqrt{\frac{18 \, x^{8} - 36 \, x^{7} + 828 \, x^{6} - 360 \, x^{5} + 720 \, x^{4} - 1008 \, x^{3} - 144 \, x^{2} + 72 \, \sqrt{3} {\left(26 \, x^{7} - 38 \, x^{6} + 42 \, x^{5} - 46 \, x^{4} + 46 \, x^{3} - 42 \, x^{2} - \sqrt{3} {\left(15 \, x^{7} - 22 \, x^{6} + 24 \, x^{5} - 27 \, x^{4} + 26 \, x^{3} - 24 \, x^{2} + 12 \, x - 4\right)} + 20 \, x - 8\right)} \sqrt{56 \, \sqrt{3} + 97} - {\left(\sqrt{3} {\left(123 \, x^{6} - 2016 \, x^{5} + 2214 \, x^{4} - 2064 \, x^{3} + 396 \, x^{2} - \sqrt{3} {\left(71 \, x^{6} - 1164 \, x^{5} + 1278 \, x^{4} - 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{x^{3} - 1} \sqrt{56 \, \sqrt{3} + 97} - 6 \, {\left(5 \, x^{6} - 27 \, x^{5} + 48 \, x^{4} - 58 \, x^{3} + 36 \, x^{2} - 3 \, \sqrt{3} {\left(x^{6} - 5 \, x^{5} + 10 \, x^{4} - 10 \, x^{3} + 8 \, x^{2} - 4 \, x\right)} - 12 \, x + 8\right)} \sqrt{x^{3} - 1}\right)} \sqrt{-4 \, \sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 24} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} + 72 \, \sqrt{3} {\left(x^{7} - 4 \, x^{6} + 6 \, x^{5} - 5 \, x^{4} - 4 \, x^{3} - 6 \, x^{2} + 4 \, x + 8\right)} + 288 \, x + 1152}{x^{8} + 4 \, x^{7} + 16 \, x^{6} + 16 \, x^{5} + 28 \, x^{4} - 32 \, x^{3} + 64 \, x^{2} - 32 \, x + 16}} + 3 \, \sqrt{-4 \, \sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 24} {\left({\left(2 \, \sqrt{3} {\left(3691 \, x^{16} + 6128 \, x^{15} - 537864 \, x^{14} - 1586477 \, x^{13} + 16210952 \, x^{12} + 77181756 \, x^{11} + 84218362 \, x^{10} - 71018320 \, x^{9} - 254455812 \, x^{8} - 196076008 \, x^{7} + 120105208 \, x^{6} + 256326864 \, x^{5} + 134645168 \, x^{4} - 78464672 \, x^{3} - 78514944 \, x^{2} - \sqrt{3} {\left(2131 \, x^{16} + 3538 \, x^{15} - 310536 \, x^{14} - 915953 \, x^{13} + 9359398 \, x^{12} + 44560908 \, x^{11} + 48623494 \, x^{10} - 41002448 \, x^{9} - 146910132 \, x^{8} - 113204536 \, x^{7} + 69342776 \, x^{6} + 147990384 \, x^{5} + 77737424 \, x^{4} - 45301600 \, x^{3} - 45330624 \, x^{2} - 12242560 \, x + 7598336\right)} - 21204736 \, x + 13160704\right)} \sqrt{x^{3} - 1} {\left(56 \, \sqrt{3} + 97\right)} - {\left(459 \, x^{16} + 13425 \, x^{15} - 33201 \, x^{14} - 950652 \, x^{13} - 997302 \, x^{12} + 14760972 \, x^{11} + 47069892 \, x^{10} + 49762248 \, x^{9} - 8212536 \, x^{8} - 84377808 \, x^{7} - 88427328 \, x^{6} - 25613856 \, x^{5} + 27458496 \, x^{4} + 36433344 \, x^{3} + 12609792 \, x^{2} - \sqrt{3} {\left(265 \, x^{16} + 7751 \, x^{15} - 19167 \, x^{14} - 548864 \, x^{13} - 575818 \, x^{12} + 8522268 \, x^{11} + 27175852 \, x^{10} + 28730312 \, x^{9} - 4741560 \, x^{8} - 48715600 \, x^{7} - 51053600 \, x^{6} - 14788128 \, x^{5} + 15853184 \, x^{4} + 21034816 \, x^{3} + 7280256 \, x^{2} + 2488832 \, x - 1889792\right)} + 4310784 \, x - 3273216\right)} \sqrt{x^{3} - 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{3}{4}} + 6 \, {\left(\sqrt{3} {\left(4945 \, x^{15} + 88617 \, x^{14} + 738528 \, x^{13} + 1860046 \, x^{12} - 784596 \, x^{11} - 7668708 \, x^{10} - 6570680 \, x^{9} + 6903864 \, x^{8} + 15444144 \, x^{7} + 4312832 \, x^{6} - 9559200 \, x^{5} - 9359808 \, x^{4} - 155968 \, x^{3} + 3016704 \, x^{2} - \sqrt{3} {\left(2855 \, x^{15} + 51163 \, x^{14} + 426388 \, x^{13} + 1073898 \, x^{12} - 452980 \, x^{11} - 4427548 \, x^{10} - 3793592 \, x^{9} + 3985944 \, x^{8} + 8916720 \, x^{7} + 2490016 \, x^{6} - 5519008 \, x^{5} - 5403904 \, x^{4} - 90048 \, x^{3} + 1741696 \, x^{2} + 1543936 \, x - 545536\right)} + 2674176 \, x - 944896\right)} \sqrt{x^{3} - 1} {\left(56 \, \sqrt{3} + 97\right)} - 2 \, {\left(246 \, x^{15} + 7653 \, x^{14} + 41169 \, x^{13} + 51342 \, x^{12} - 72300 \, x^{11} - 45930 \, x^{10} + 221688 \, x^{9} + 17892 \, x^{8} - 490248 \, x^{7} - 462360 \, x^{6} + 389616 \, x^{5} + 619728 \, x^{4} + 16608 \, x^{3} - 187584 \, x^{2} - \sqrt{3} {\left(142 \, x^{15} + 4419 \, x^{14} + 23781 \, x^{13} + 29608 \, x^{12} - 41940 \, x^{11} - 26454 \, x^{10} + 128152 \, x^{9} + 10692 \, x^{8} - 283320 \, x^{7} - 267064 \, x^{6} + 224784 \, x^{5} + 357936 \, x^{4} + 9632 \, x^{3} - 108288 \, x^{2} - 96000 \, x + 33920\right)} - 166272 \, x + 58752\right)} \sqrt{x^{3} - 1} \sqrt{56 \, \sqrt{3} + 97}\right)} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}}\right)} - 216 \, {\left(12 \, x^{17} + 498 \, x^{16} + 462 \, x^{15} - 24972 \, x^{14} - 88530 \, x^{13} - 9726 \, x^{12} + 300000 \, x^{11} + 396768 \, x^{10} - 87216 \, x^{9} - 723072 \, x^{8} - 549408 \, x^{7} + 220128 \, x^{6} + 584736 \, x^{5} + 308256 \, x^{4} - 155136 \, x^{3} - 136704 \, x^{2} - \sqrt{3} {\left(7 \, x^{17} + 286 \, x^{16} + 238 \, x^{15} - 14255 \, x^{14} - 50390 \, x^{13} - 5942 \, x^{12} + 171808 \, x^{11} + 226888 \, x^{10} - 48920 \, x^{9} - 415384 \, x^{8} - 315088 \, x^{7} + 125600 \, x^{6} + 336608 \, x^{5} + 177344 \, x^{4} - 89152 \, x^{3} - 78784 \, x^{2} - 39040 \, x + 18176\right)} - 67584 \, x + 31488\right)} \sqrt{56 \, \sqrt{3} + 97}}{648 \, {\left(x^{17} - 13 \, x^{16} - 522 \, x^{15} - 1742 \, x^{14} + 3008 \, x^{13} + 16884 \, x^{12} + 11656 \, x^{11} - 23944 \, x^{10} - 42336 \, x^{9} - 9136 \, x^{8} + 36256 \, x^{7} + 27360 \, x^{6} - 256 \, x^{5} - 13376 \, x^{4} - 5760 \, x^{3} + 1664 \, x^{2} + 256 \, x\right)}}\right) + \frac{1}{2592} \, {\left(\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6\right)} \sqrt{-4 \, \sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 24} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} \log\left(\frac{18 \, x^{8} - 36 \, x^{7} + 828 \, x^{6} - 360 \, x^{5} + 720 \, x^{4} - 1008 \, x^{3} - 144 \, x^{2} + 72 \, \sqrt{3} {\left(26 \, x^{7} - 38 \, x^{6} + 42 \, x^{5} - 46 \, x^{4} + 46 \, x^{3} - 42 \, x^{2} - \sqrt{3} {\left(15 \, x^{7} - 22 \, x^{6} + 24 \, x^{5} - 27 \, x^{4} + 26 \, x^{3} - 24 \, x^{2} + 12 \, x - 4\right)} + 20 \, x - 8\right)} \sqrt{56 \, \sqrt{3} + 97} + {\left(\sqrt{3} {\left(123 \, x^{6} - 2016 \, x^{5} + 2214 \, x^{4} - 2064 \, x^{3} + 396 \, x^{2} - \sqrt{3} {\left(71 \, x^{6} - 1164 \, x^{5} + 1278 \, x^{4} - 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{x^{3} - 1} \sqrt{56 \, \sqrt{3} + 97} - 6 \, {\left(5 \, x^{6} - 27 \, x^{5} + 48 \, x^{4} - 58 \, x^{3} + 36 \, x^{2} - 3 \, \sqrt{3} {\left(x^{6} - 5 \, x^{5} + 10 \, x^{4} - 10 \, x^{3} + 8 \, x^{2} - 4 \, x\right)} - 12 \, x + 8\right)} \sqrt{x^{3} - 1}\right)} \sqrt{-4 \, \sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 24} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} + 72 \, \sqrt{3} {\left(x^{7} - 4 \, x^{6} + 6 \, x^{5} - 5 \, x^{4} - 4 \, x^{3} - 6 \, x^{2} + 4 \, x + 8\right)} + 288 \, x + 1152}{18 \, {\left(x^{8} + 4 \, x^{7} + 16 \, x^{6} + 16 \, x^{5} + 28 \, x^{4} - 32 \, x^{3} + 64 \, x^{2} - 32 \, x + 16\right)}}\right) - \frac{1}{2592} \, {\left(\sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 6\right)} \sqrt{-4 \, \sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 24} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} \log\left(\frac{18 \, x^{8} - 36 \, x^{7} + 828 \, x^{6} - 360 \, x^{5} + 720 \, x^{4} - 1008 \, x^{3} - 144 \, x^{2} + 72 \, \sqrt{3} {\left(26 \, x^{7} - 38 \, x^{6} + 42 \, x^{5} - 46 \, x^{4} + 46 \, x^{3} - 42 \, x^{2} - \sqrt{3} {\left(15 \, x^{7} - 22 \, x^{6} + 24 \, x^{5} - 27 \, x^{4} + 26 \, x^{3} - 24 \, x^{2} + 12 \, x - 4\right)} + 20 \, x - 8\right)} \sqrt{56 \, \sqrt{3} + 97} - {\left(\sqrt{3} {\left(123 \, x^{6} - 2016 \, x^{5} + 2214 \, x^{4} - 2064 \, x^{3} + 396 \, x^{2} - \sqrt{3} {\left(71 \, x^{6} - 1164 \, x^{5} + 1278 \, x^{4} - 1192 \, x^{3} + 228 \, x^{2} - 112\right)} - 192\right)} \sqrt{x^{3} - 1} \sqrt{56 \, \sqrt{3} + 97} - 6 \, {\left(5 \, x^{6} - 27 \, x^{5} + 48 \, x^{4} - 58 \, x^{3} + 36 \, x^{2} - 3 \, \sqrt{3} {\left(x^{6} - 5 \, x^{5} + 10 \, x^{4} - 10 \, x^{3} + 8 \, x^{2} - 4 \, x\right)} - 12 \, x + 8\right)} \sqrt{x^{3} - 1}\right)} \sqrt{-4 \, \sqrt{3} \sqrt{56 \, \sqrt{3} + 97} {\left(7 \, \sqrt{3} - 12\right)} + 24} {\left(672 \, \sqrt{3} + 1164\right)}^{\frac{1}{4}} + 72 \, \sqrt{3} {\left(x^{7} - 4 \, x^{6} + 6 \, x^{5} - 5 \, x^{4} - 4 \, x^{3} - 6 \, x^{2} + 4 \, x + 8\right)} + 288 \, x + 1152}{18 \, {\left(x^{8} + 4 \, x^{7} + 16 \, x^{6} + 16 \, x^{5} + 28 \, x^{4} - 32 \, x^{3} + 64 \, x^{2} - 32 \, x + 16\right)}}\right) - \frac{1}{36} \, \sqrt{14 \, \sqrt{3} + 24} \arctan\left(-\frac{{\left(3 \, x^{2} - \sqrt{3} {\left(x^{2} + 10 \, x - 8\right)} + 18 \, x - 12\right)} \sqrt{14 \, \sqrt{3} + 24}}{12 \, \sqrt{x^{3} - 1}}\right)"," ",0,"1/216*sqrt(3)*sqrt(-4*sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 24)*(672*sqrt(3) + 1164)^(1/4)*(56*sqrt(3) + 97)*(56*sqrt(3) - 97)*arctan(-1/648*(432*sqrt(3)*(97*x^17 + 523*x^16 - 2171*x^15 - 27737*x^14 - 136013*x^13 - 345761*x^12 - 483752*x^11 - 26558*x^10 + 1051756*x^9 + 1656560*x^8 + 801584*x^7 - 1113424*x^6 - 1680688*x^5 - 911344*x^4 + 536192*x^3 + 535520*x^2 - 2*sqrt(3)*(28*x^17 + 151*x^16 - 626*x^15 - 8006*x^14 - 39266*x^13 - 99812*x^12 - 139652*x^11 - 7661*x^10 + 303610*x^9 + 478214*x^8 + 231392*x^7 - 321412*x^6 - 485176*x^5 - 263080*x^4 + 154784*x^3 + 154592*x^2 + 78464*x - 36544) + 271808*x - 126592)*(56*sqrt(3) + 97) + 72*sqrt(3)*(sqrt(3)*(2340*x^17 + 96354*x^16 + 84798*x^15 - 4817124*x^14 - 17052930*x^13 - 1941678*x^12 + 57963744*x^11 + 76603680*x^10 - 16678512*x^9 - 139922496*x^8 - 106227360*x^7 + 42453216*x^6 + 113269536*x^5 + 59694624*x^4 - 30025728*x^3 - 26496000*x^2 - sqrt(3)*(1351*x^17 + 55630*x^16 + 48958*x^15 - 2781167*x^14 - 9845510*x^13 - 1121030*x^12 + 33465376*x^11 + 44227144*x^10 - 9629336*x^9 - 80784280*x^8 - 61330384*x^7 + 24510368*x^6 + 65396192*x^5 + 34464704*x^4 - 17335360*x^3 - 15297472*x^2 - 7571584*x + 3526400) - 13114368*x + 6107904)*(56*sqrt(3) + 97) - 6*(97*x^17 + 523*x^16 - 2171*x^15 - 27737*x^14 - 136013*x^13 - 345761*x^12 - 483752*x^11 - 26558*x^10 + 1051756*x^9 + 1656560*x^8 + 801584*x^7 - 1113424*x^6 - 1680688*x^5 - 911344*x^4 + 536192*x^3 + 535520*x^2 - 2*sqrt(3)*(28*x^17 + 151*x^16 - 626*x^15 - 8006*x^14 - 39266*x^13 - 99812*x^12 - 139652*x^11 - 7661*x^10 + 303610*x^9 + 478214*x^8 + 231392*x^7 - 321412*x^6 - 485176*x^5 - 263080*x^4 + 154784*x^3 + 154592*x^2 + 78464*x - 36544) + 271808*x - 126592)*sqrt(56*sqrt(3) + 97))*sqrt(56*sqrt(3) + 97) - sqrt(1/2)*(288*sqrt(3)*(627*x^16 + 14286*x^15 + 39762*x^14 - 50142*x^13 - 216816*x^12 - 112284*x^11 + 325707*x^10 + 586326*x^9 - 3294*x^8 - 631752*x^7 - 539220*x^6 + 184392*x^5 + 483816*x^4 + 115296*x^3 - 108576*x^2 - 2*sqrt(3)*(181*x^16 + 4124*x^15 + 11478*x^14 - 14474*x^13 - 62584*x^12 - 32412*x^11 + 94021*x^10 + 169244*x^9 - 954*x^8 - 182368*x^7 - 155648*x^6 + 53232*x^5 + 139664*x^4 + 33280*x^3 - 31344*x^2 - 37024*x + 11584) - 128256*x + 40128)*(56*sqrt(3) + 97) + 24*sqrt(3)*(sqrt(3)*(2340*x^17 + 35850*x^16 - 106410*x^15 + 2064744*x^14 + 11945946*x^13 + 1710042*x^12 - 46293732*x^11 - 59161524*x^10 + 18480192*x^9 + 122366520*x^8 + 81203856*x^7 - 45222000*x^6 - 100598112*x^5 - 42207168*x^4 + 29609472*x^3 + 22458240*x^2 - sqrt(3)*(1351*x^17 + 20698*x^16 - 61436*x^15 + 1192081*x^14 + 6896998*x^13 + 987292*x^12 - 26727704*x^11 - 34156928*x^10 + 10669552*x^9 + 70648352*x^8 + 46883072*x^7 - 26108944*x^6 - 58080352*x^5 - 24368320*x^4 + 17095040*x^3 + 12966272*x^2 + 4724480*x - 2581504) + 8183040*x - 4471296)*(56*sqrt(3) + 97) - 6*(97*x^17 - 104*x^16 - 20510*x^15 - 43181*x^14 + 217294*x^13 + 691762*x^12 + 584800*x^11 - 521510*x^10 - 1780028*x^9 - 1416580*x^8 + 80528*x^7 + 1518056*x^6 + 1321712*x^5 + 393392*x^4 - 501952*x^3 - 446848*x^2 - 4*sqrt(3)*(14*x^17 - 15*x^16 - 2960*x^15 - 6232*x^14 + 31362*x^13 + 99844*x^12 + 84404*x^11 - 75267*x^10 - 256916*x^9 - 204458*x^8 + 11616*x^7 + 219104*x^6 + 190768*x^5 + 56784*x^4 - 72448*x^3 - 64496*x^2 - 24480*x + 13376) - 169600*x + 92672)*sqrt(56*sqrt(3) + 97))*sqrt(56*sqrt(3) + 97) - sqrt(-4*sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 24)*((2*sqrt(3)*(3691*x^16 - 17731*x^15 - 951114*x^14 - 450359*x^13 + 4370159*x^12 - 30318522*x^11 - 78096668*x^10 - 9429316*x^9 + 146877876*x^8 + 197107784*x^7 - 30834152*x^6 - 185125776*x^5 - 132260896*x^4 + 45545344*x^3 + 69517536*x^2 - sqrt(3)*(2131*x^16 - 10237*x^15 - 549126*x^14 - 260015*x^13 + 2523113*x^12 - 17504406*x^11 - 45089132*x^10 - 5444020*x^9 + 84799980*x^8 + 113800232*x^7 - 17802104*x^6 - 106882416*x^5 - 76360864*x^4 + 26295616*x^3 + 40135968*x^2 + 7907648*x - 5562368) + 13696448*x - 9634304)*sqrt(x^3 - 1)*(56*sqrt(3) + 97) - (459*x^16 + 1557*x^15 - 26415*x^14 + 1449954*x^13 + 4677912*x^12 - 12651948*x^11 - 55684800*x^10 - 62834256*x^9 + 8526168*x^8 + 105313392*x^7 + 99605088*x^6 + 18897984*x^5 - 42499296*x^4 - 37357632*x^3 - 8256960*x^2 - sqrt(3)*(265*x^16 + 899*x^15 - 15249*x^14 + 837130*x^13 + 2700776*x^12 - 7304604*x^11 - 32149640*x^10 - 36277360*x^9 + 4922568*x^8 + 60802736*x^7 + 57507040*x^6 + 10910784*x^5 - 24536992*x^4 - 21568448*x^3 - 4767168*x^2 - 1207168*x + 1383424) - 2090880*x + 2396160)*sqrt(x^3 - 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(3/4) + 6*(sqrt(3)*(4945*x^15 + 37473*x^14 - 490698*x^13 - 2249468*x^12 + 474132*x^11 + 8423784*x^10 + 5853520*x^9 - 8451720*x^8 - 15320016*x^7 - 768064*x^6 + 10405056*x^5 + 6627744*x^4 - 700480*x^3 - 2799552*x^2 - sqrt(3)*(2855*x^15 + 21635*x^14 - 283306*x^13 - 1298732*x^12 + 273748*x^11 + 4863472*x^10 + 3379536*x^9 - 4879608*x^8 - 8845008*x^7 - 443456*x^6 + 6007360*x^5 + 3826528*x^4 - 404416*x^3 - 1616320*x^2 - 1003648*x + 399360) - 1738368*x + 691712)*sqrt(x^3 - 1)*(56*sqrt(3) + 97) - 2*(246*x^15 + 3678*x^14 - 13485*x^13 - 102933*x^12 - 70062*x^11 + 81156*x^10 + 45204*x^9 + 129636*x^8 + 243576*x^7 + 221784*x^6 - 351024*x^5 - 460896*x^4 + 33984*x^3 + 174048*x^2 - sqrt(3)*(142*x^15 + 2124*x^14 - 7773*x^13 - 59447*x^12 - 40626*x^11 + 46860*x^10 + 26308*x^9 + 75276*x^8 + 140472*x^7 + 127784*x^6 - 202896*x^5 - 266016*x^4 + 19712*x^3 + 100512*x^2 + 62400*x - 24832) + 108096*x - 43008)*sqrt(x^3 - 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(1/4)) - 216*(130*x^16 + 1682*x^15 + 2496*x^14 - 7730*x^13 + 1790*x^12 + 35700*x^11 - 7100*x^10 - 86080*x^9 - 49176*x^8 + 100400*x^7 + 108208*x^6 - 33312*x^5 - 80704*x^4 - 18944*x^3 + 18048*x^2 - 3*sqrt(3)*(25*x^16 + 324*x^15 + 489*x^14 - 1482*x^13 + 316*x^12 + 6984*x^11 - 1312*x^10 - 16624*x^9 - 9792*x^8 + 19328*x^7 + 20976*x^6 - 6240*x^5 - 15552*x^4 - 3712*x^3 + 3456*x^2 + 4096*x - 1280) + 21248*x - 6656)*sqrt(56*sqrt(3) + 97))*sqrt((18*x^8 - 36*x^7 + 828*x^6 - 360*x^5 + 720*x^4 - 1008*x^3 - 144*x^2 + 72*sqrt(3)*(26*x^7 - 38*x^6 + 42*x^5 - 46*x^4 + 46*x^3 - 42*x^2 - sqrt(3)*(15*x^7 - 22*x^6 + 24*x^5 - 27*x^4 + 26*x^3 - 24*x^2 + 12*x - 4) + 20*x - 8)*sqrt(56*sqrt(3) + 97) + (sqrt(3)*(123*x^6 - 2016*x^5 + 2214*x^4 - 2064*x^3 + 396*x^2 - sqrt(3)*(71*x^6 - 1164*x^5 + 1278*x^4 - 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(x^3 - 1)*sqrt(56*sqrt(3) + 97) - 6*(5*x^6 - 27*x^5 + 48*x^4 - 58*x^3 + 36*x^2 - 3*sqrt(3)*(x^6 - 5*x^5 + 10*x^4 - 10*x^3 + 8*x^2 - 4*x) - 12*x + 8)*sqrt(x^3 - 1))*sqrt(-4*sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 24)*(672*sqrt(3) + 1164)^(1/4) + 72*sqrt(3)*(x^7 - 4*x^6 + 6*x^5 - 5*x^4 - 4*x^3 - 6*x^2 + 4*x + 8) + 288*x + 1152)/(x^8 + 4*x^7 + 16*x^6 + 16*x^5 + 28*x^4 - 32*x^3 + 64*x^2 - 32*x + 16)) - 3*sqrt(-4*sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 24)*((2*sqrt(3)*(3691*x^16 + 6128*x^15 - 537864*x^14 - 1586477*x^13 + 16210952*x^12 + 77181756*x^11 + 84218362*x^10 - 71018320*x^9 - 254455812*x^8 - 196076008*x^7 + 120105208*x^6 + 256326864*x^5 + 134645168*x^4 - 78464672*x^3 - 78514944*x^2 - sqrt(3)*(2131*x^16 + 3538*x^15 - 310536*x^14 - 915953*x^13 + 9359398*x^12 + 44560908*x^11 + 48623494*x^10 - 41002448*x^9 - 146910132*x^8 - 113204536*x^7 + 69342776*x^6 + 147990384*x^5 + 77737424*x^4 - 45301600*x^3 - 45330624*x^2 - 12242560*x + 7598336) - 21204736*x + 13160704)*sqrt(x^3 - 1)*(56*sqrt(3) + 97) - (459*x^16 + 13425*x^15 - 33201*x^14 - 950652*x^13 - 997302*x^12 + 14760972*x^11 + 47069892*x^10 + 49762248*x^9 - 8212536*x^8 - 84377808*x^7 - 88427328*x^6 - 25613856*x^5 + 27458496*x^4 + 36433344*x^3 + 12609792*x^2 - sqrt(3)*(265*x^16 + 7751*x^15 - 19167*x^14 - 548864*x^13 - 575818*x^12 + 8522268*x^11 + 27175852*x^10 + 28730312*x^9 - 4741560*x^8 - 48715600*x^7 - 51053600*x^6 - 14788128*x^5 + 15853184*x^4 + 21034816*x^3 + 7280256*x^2 + 2488832*x - 1889792) + 4310784*x - 3273216)*sqrt(x^3 - 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(3/4) + 6*(sqrt(3)*(4945*x^15 + 88617*x^14 + 738528*x^13 + 1860046*x^12 - 784596*x^11 - 7668708*x^10 - 6570680*x^9 + 6903864*x^8 + 15444144*x^7 + 4312832*x^6 - 9559200*x^5 - 9359808*x^4 - 155968*x^3 + 3016704*x^2 - sqrt(3)*(2855*x^15 + 51163*x^14 + 426388*x^13 + 1073898*x^12 - 452980*x^11 - 4427548*x^10 - 3793592*x^9 + 3985944*x^8 + 8916720*x^7 + 2490016*x^6 - 5519008*x^5 - 5403904*x^4 - 90048*x^3 + 1741696*x^2 + 1543936*x - 545536) + 2674176*x - 944896)*sqrt(x^3 - 1)*(56*sqrt(3) + 97) - 2*(246*x^15 + 7653*x^14 + 41169*x^13 + 51342*x^12 - 72300*x^11 - 45930*x^10 + 221688*x^9 + 17892*x^8 - 490248*x^7 - 462360*x^6 + 389616*x^5 + 619728*x^4 + 16608*x^3 - 187584*x^2 - sqrt(3)*(142*x^15 + 4419*x^14 + 23781*x^13 + 29608*x^12 - 41940*x^11 - 26454*x^10 + 128152*x^9 + 10692*x^8 - 283320*x^7 - 267064*x^6 + 224784*x^5 + 357936*x^4 + 9632*x^3 - 108288*x^2 - 96000*x + 33920) - 166272*x + 58752)*sqrt(x^3 - 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(1/4)) - 216*(12*x^17 + 498*x^16 + 462*x^15 - 24972*x^14 - 88530*x^13 - 9726*x^12 + 300000*x^11 + 396768*x^10 - 87216*x^9 - 723072*x^8 - 549408*x^7 + 220128*x^6 + 584736*x^5 + 308256*x^4 - 155136*x^3 - 136704*x^2 - sqrt(3)*(7*x^17 + 286*x^16 + 238*x^15 - 14255*x^14 - 50390*x^13 - 5942*x^12 + 171808*x^11 + 226888*x^10 - 48920*x^9 - 415384*x^8 - 315088*x^7 + 125600*x^6 + 336608*x^5 + 177344*x^4 - 89152*x^3 - 78784*x^2 - 39040*x + 18176) - 67584*x + 31488)*sqrt(56*sqrt(3) + 97))/(x^17 - 13*x^16 - 522*x^15 - 1742*x^14 + 3008*x^13 + 16884*x^12 + 11656*x^11 - 23944*x^10 - 42336*x^9 - 9136*x^8 + 36256*x^7 + 27360*x^6 - 256*x^5 - 13376*x^4 - 5760*x^3 + 1664*x^2 + 256*x)) + 1/216*sqrt(3)*sqrt(-4*sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 24)*(672*sqrt(3) + 1164)^(1/4)*(56*sqrt(3) + 97)*(56*sqrt(3) - 97)*arctan(1/648*(432*sqrt(3)*(97*x^17 + 523*x^16 - 2171*x^15 - 27737*x^14 - 136013*x^13 - 345761*x^12 - 483752*x^11 - 26558*x^10 + 1051756*x^9 + 1656560*x^8 + 801584*x^7 - 1113424*x^6 - 1680688*x^5 - 911344*x^4 + 536192*x^3 + 535520*x^2 - 2*sqrt(3)*(28*x^17 + 151*x^16 - 626*x^15 - 8006*x^14 - 39266*x^13 - 99812*x^12 - 139652*x^11 - 7661*x^10 + 303610*x^9 + 478214*x^8 + 231392*x^7 - 321412*x^6 - 485176*x^5 - 263080*x^4 + 154784*x^3 + 154592*x^2 + 78464*x - 36544) + 271808*x - 126592)*(56*sqrt(3) + 97) + 72*sqrt(3)*(sqrt(3)*(2340*x^17 + 96354*x^16 + 84798*x^15 - 4817124*x^14 - 17052930*x^13 - 1941678*x^12 + 57963744*x^11 + 76603680*x^10 - 16678512*x^9 - 139922496*x^8 - 106227360*x^7 + 42453216*x^6 + 113269536*x^5 + 59694624*x^4 - 30025728*x^3 - 26496000*x^2 - sqrt(3)*(1351*x^17 + 55630*x^16 + 48958*x^15 - 2781167*x^14 - 9845510*x^13 - 1121030*x^12 + 33465376*x^11 + 44227144*x^10 - 9629336*x^9 - 80784280*x^8 - 61330384*x^7 + 24510368*x^6 + 65396192*x^5 + 34464704*x^4 - 17335360*x^3 - 15297472*x^2 - 7571584*x + 3526400) - 13114368*x + 6107904)*(56*sqrt(3) + 97) - 6*(97*x^17 + 523*x^16 - 2171*x^15 - 27737*x^14 - 136013*x^13 - 345761*x^12 - 483752*x^11 - 26558*x^10 + 1051756*x^9 + 1656560*x^8 + 801584*x^7 - 1113424*x^6 - 1680688*x^5 - 911344*x^4 + 536192*x^3 + 535520*x^2 - 2*sqrt(3)*(28*x^17 + 151*x^16 - 626*x^15 - 8006*x^14 - 39266*x^13 - 99812*x^12 - 139652*x^11 - 7661*x^10 + 303610*x^9 + 478214*x^8 + 231392*x^7 - 321412*x^6 - 485176*x^5 - 263080*x^4 + 154784*x^3 + 154592*x^2 + 78464*x - 36544) + 271808*x - 126592)*sqrt(56*sqrt(3) + 97))*sqrt(56*sqrt(3) + 97) - sqrt(1/2)*(288*sqrt(3)*(627*x^16 + 14286*x^15 + 39762*x^14 - 50142*x^13 - 216816*x^12 - 112284*x^11 + 325707*x^10 + 586326*x^9 - 3294*x^8 - 631752*x^7 - 539220*x^6 + 184392*x^5 + 483816*x^4 + 115296*x^3 - 108576*x^2 - 2*sqrt(3)*(181*x^16 + 4124*x^15 + 11478*x^14 - 14474*x^13 - 62584*x^12 - 32412*x^11 + 94021*x^10 + 169244*x^9 - 954*x^8 - 182368*x^7 - 155648*x^6 + 53232*x^5 + 139664*x^4 + 33280*x^3 - 31344*x^2 - 37024*x + 11584) - 128256*x + 40128)*(56*sqrt(3) + 97) + 24*sqrt(3)*(sqrt(3)*(2340*x^17 + 35850*x^16 - 106410*x^15 + 2064744*x^14 + 11945946*x^13 + 1710042*x^12 - 46293732*x^11 - 59161524*x^10 + 18480192*x^9 + 122366520*x^8 + 81203856*x^7 - 45222000*x^6 - 100598112*x^5 - 42207168*x^4 + 29609472*x^3 + 22458240*x^2 - sqrt(3)*(1351*x^17 + 20698*x^16 - 61436*x^15 + 1192081*x^14 + 6896998*x^13 + 987292*x^12 - 26727704*x^11 - 34156928*x^10 + 10669552*x^9 + 70648352*x^8 + 46883072*x^7 - 26108944*x^6 - 58080352*x^5 - 24368320*x^4 + 17095040*x^3 + 12966272*x^2 + 4724480*x - 2581504) + 8183040*x - 4471296)*(56*sqrt(3) + 97) - 6*(97*x^17 - 104*x^16 - 20510*x^15 - 43181*x^14 + 217294*x^13 + 691762*x^12 + 584800*x^11 - 521510*x^10 - 1780028*x^9 - 1416580*x^8 + 80528*x^7 + 1518056*x^6 + 1321712*x^5 + 393392*x^4 - 501952*x^3 - 446848*x^2 - 4*sqrt(3)*(14*x^17 - 15*x^16 - 2960*x^15 - 6232*x^14 + 31362*x^13 + 99844*x^12 + 84404*x^11 - 75267*x^10 - 256916*x^9 - 204458*x^8 + 11616*x^7 + 219104*x^6 + 190768*x^5 + 56784*x^4 - 72448*x^3 - 64496*x^2 - 24480*x + 13376) - 169600*x + 92672)*sqrt(56*sqrt(3) + 97))*sqrt(56*sqrt(3) + 97) + sqrt(-4*sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 24)*((2*sqrt(3)*(3691*x^16 - 17731*x^15 - 951114*x^14 - 450359*x^13 + 4370159*x^12 - 30318522*x^11 - 78096668*x^10 - 9429316*x^9 + 146877876*x^8 + 197107784*x^7 - 30834152*x^6 - 185125776*x^5 - 132260896*x^4 + 45545344*x^3 + 69517536*x^2 - sqrt(3)*(2131*x^16 - 10237*x^15 - 549126*x^14 - 260015*x^13 + 2523113*x^12 - 17504406*x^11 - 45089132*x^10 - 5444020*x^9 + 84799980*x^8 + 113800232*x^7 - 17802104*x^6 - 106882416*x^5 - 76360864*x^4 + 26295616*x^3 + 40135968*x^2 + 7907648*x - 5562368) + 13696448*x - 9634304)*sqrt(x^3 - 1)*(56*sqrt(3) + 97) - (459*x^16 + 1557*x^15 - 26415*x^14 + 1449954*x^13 + 4677912*x^12 - 12651948*x^11 - 55684800*x^10 - 62834256*x^9 + 8526168*x^8 + 105313392*x^7 + 99605088*x^6 + 18897984*x^5 - 42499296*x^4 - 37357632*x^3 - 8256960*x^2 - sqrt(3)*(265*x^16 + 899*x^15 - 15249*x^14 + 837130*x^13 + 2700776*x^12 - 7304604*x^11 - 32149640*x^10 - 36277360*x^9 + 4922568*x^8 + 60802736*x^7 + 57507040*x^6 + 10910784*x^5 - 24536992*x^4 - 21568448*x^3 - 4767168*x^2 - 1207168*x + 1383424) - 2090880*x + 2396160)*sqrt(x^3 - 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(3/4) + 6*(sqrt(3)*(4945*x^15 + 37473*x^14 - 490698*x^13 - 2249468*x^12 + 474132*x^11 + 8423784*x^10 + 5853520*x^9 - 8451720*x^8 - 15320016*x^7 - 768064*x^6 + 10405056*x^5 + 6627744*x^4 - 700480*x^3 - 2799552*x^2 - sqrt(3)*(2855*x^15 + 21635*x^14 - 283306*x^13 - 1298732*x^12 + 273748*x^11 + 4863472*x^10 + 3379536*x^9 - 4879608*x^8 - 8845008*x^7 - 443456*x^6 + 6007360*x^5 + 3826528*x^4 - 404416*x^3 - 1616320*x^2 - 1003648*x + 399360) - 1738368*x + 691712)*sqrt(x^3 - 1)*(56*sqrt(3) + 97) - 2*(246*x^15 + 3678*x^14 - 13485*x^13 - 102933*x^12 - 70062*x^11 + 81156*x^10 + 45204*x^9 + 129636*x^8 + 243576*x^7 + 221784*x^6 - 351024*x^5 - 460896*x^4 + 33984*x^3 + 174048*x^2 - sqrt(3)*(142*x^15 + 2124*x^14 - 7773*x^13 - 59447*x^12 - 40626*x^11 + 46860*x^10 + 26308*x^9 + 75276*x^8 + 140472*x^7 + 127784*x^6 - 202896*x^5 - 266016*x^4 + 19712*x^3 + 100512*x^2 + 62400*x - 24832) + 108096*x - 43008)*sqrt(x^3 - 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(1/4)) - 216*(130*x^16 + 1682*x^15 + 2496*x^14 - 7730*x^13 + 1790*x^12 + 35700*x^11 - 7100*x^10 - 86080*x^9 - 49176*x^8 + 100400*x^7 + 108208*x^6 - 33312*x^5 - 80704*x^4 - 18944*x^3 + 18048*x^2 - 3*sqrt(3)*(25*x^16 + 324*x^15 + 489*x^14 - 1482*x^13 + 316*x^12 + 6984*x^11 - 1312*x^10 - 16624*x^9 - 9792*x^8 + 19328*x^7 + 20976*x^6 - 6240*x^5 - 15552*x^4 - 3712*x^3 + 3456*x^2 + 4096*x - 1280) + 21248*x - 6656)*sqrt(56*sqrt(3) + 97))*sqrt((18*x^8 - 36*x^7 + 828*x^6 - 360*x^5 + 720*x^4 - 1008*x^3 - 144*x^2 + 72*sqrt(3)*(26*x^7 - 38*x^6 + 42*x^5 - 46*x^4 + 46*x^3 - 42*x^2 - sqrt(3)*(15*x^7 - 22*x^6 + 24*x^5 - 27*x^4 + 26*x^3 - 24*x^2 + 12*x - 4) + 20*x - 8)*sqrt(56*sqrt(3) + 97) - (sqrt(3)*(123*x^6 - 2016*x^5 + 2214*x^4 - 2064*x^3 + 396*x^2 - sqrt(3)*(71*x^6 - 1164*x^5 + 1278*x^4 - 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(x^3 - 1)*sqrt(56*sqrt(3) + 97) - 6*(5*x^6 - 27*x^5 + 48*x^4 - 58*x^3 + 36*x^2 - 3*sqrt(3)*(x^6 - 5*x^5 + 10*x^4 - 10*x^3 + 8*x^2 - 4*x) - 12*x + 8)*sqrt(x^3 - 1))*sqrt(-4*sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 24)*(672*sqrt(3) + 1164)^(1/4) + 72*sqrt(3)*(x^7 - 4*x^6 + 6*x^5 - 5*x^4 - 4*x^3 - 6*x^2 + 4*x + 8) + 288*x + 1152)/(x^8 + 4*x^7 + 16*x^6 + 16*x^5 + 28*x^4 - 32*x^3 + 64*x^2 - 32*x + 16)) + 3*sqrt(-4*sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 24)*((2*sqrt(3)*(3691*x^16 + 6128*x^15 - 537864*x^14 - 1586477*x^13 + 16210952*x^12 + 77181756*x^11 + 84218362*x^10 - 71018320*x^9 - 254455812*x^8 - 196076008*x^7 + 120105208*x^6 + 256326864*x^5 + 134645168*x^4 - 78464672*x^3 - 78514944*x^2 - sqrt(3)*(2131*x^16 + 3538*x^15 - 310536*x^14 - 915953*x^13 + 9359398*x^12 + 44560908*x^11 + 48623494*x^10 - 41002448*x^9 - 146910132*x^8 - 113204536*x^7 + 69342776*x^6 + 147990384*x^5 + 77737424*x^4 - 45301600*x^3 - 45330624*x^2 - 12242560*x + 7598336) - 21204736*x + 13160704)*sqrt(x^3 - 1)*(56*sqrt(3) + 97) - (459*x^16 + 13425*x^15 - 33201*x^14 - 950652*x^13 - 997302*x^12 + 14760972*x^11 + 47069892*x^10 + 49762248*x^9 - 8212536*x^8 - 84377808*x^7 - 88427328*x^6 - 25613856*x^5 + 27458496*x^4 + 36433344*x^3 + 12609792*x^2 - sqrt(3)*(265*x^16 + 7751*x^15 - 19167*x^14 - 548864*x^13 - 575818*x^12 + 8522268*x^11 + 27175852*x^10 + 28730312*x^9 - 4741560*x^8 - 48715600*x^7 - 51053600*x^6 - 14788128*x^5 + 15853184*x^4 + 21034816*x^3 + 7280256*x^2 + 2488832*x - 1889792) + 4310784*x - 3273216)*sqrt(x^3 - 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(3/4) + 6*(sqrt(3)*(4945*x^15 + 88617*x^14 + 738528*x^13 + 1860046*x^12 - 784596*x^11 - 7668708*x^10 - 6570680*x^9 + 6903864*x^8 + 15444144*x^7 + 4312832*x^6 - 9559200*x^5 - 9359808*x^4 - 155968*x^3 + 3016704*x^2 - sqrt(3)*(2855*x^15 + 51163*x^14 + 426388*x^13 + 1073898*x^12 - 452980*x^11 - 4427548*x^10 - 3793592*x^9 + 3985944*x^8 + 8916720*x^7 + 2490016*x^6 - 5519008*x^5 - 5403904*x^4 - 90048*x^3 + 1741696*x^2 + 1543936*x - 545536) + 2674176*x - 944896)*sqrt(x^3 - 1)*(56*sqrt(3) + 97) - 2*(246*x^15 + 7653*x^14 + 41169*x^13 + 51342*x^12 - 72300*x^11 - 45930*x^10 + 221688*x^9 + 17892*x^8 - 490248*x^7 - 462360*x^6 + 389616*x^5 + 619728*x^4 + 16608*x^3 - 187584*x^2 - sqrt(3)*(142*x^15 + 4419*x^14 + 23781*x^13 + 29608*x^12 - 41940*x^11 - 26454*x^10 + 128152*x^9 + 10692*x^8 - 283320*x^7 - 267064*x^6 + 224784*x^5 + 357936*x^4 + 9632*x^3 - 108288*x^2 - 96000*x + 33920) - 166272*x + 58752)*sqrt(x^3 - 1)*sqrt(56*sqrt(3) + 97))*(672*sqrt(3) + 1164)^(1/4)) - 216*(12*x^17 + 498*x^16 + 462*x^15 - 24972*x^14 - 88530*x^13 - 9726*x^12 + 300000*x^11 + 396768*x^10 - 87216*x^9 - 723072*x^8 - 549408*x^7 + 220128*x^6 + 584736*x^5 + 308256*x^4 - 155136*x^3 - 136704*x^2 - sqrt(3)*(7*x^17 + 286*x^16 + 238*x^15 - 14255*x^14 - 50390*x^13 - 5942*x^12 + 171808*x^11 + 226888*x^10 - 48920*x^9 - 415384*x^8 - 315088*x^7 + 125600*x^6 + 336608*x^5 + 177344*x^4 - 89152*x^3 - 78784*x^2 - 39040*x + 18176) - 67584*x + 31488)*sqrt(56*sqrt(3) + 97))/(x^17 - 13*x^16 - 522*x^15 - 1742*x^14 + 3008*x^13 + 16884*x^12 + 11656*x^11 - 23944*x^10 - 42336*x^9 - 9136*x^8 + 36256*x^7 + 27360*x^6 - 256*x^5 - 13376*x^4 - 5760*x^3 + 1664*x^2 + 256*x)) + 1/2592*(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*sqrt(-4*sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 24)*(672*sqrt(3) + 1164)^(1/4)*log(1/18*(18*x^8 - 36*x^7 + 828*x^6 - 360*x^5 + 720*x^4 - 1008*x^3 - 144*x^2 + 72*sqrt(3)*(26*x^7 - 38*x^6 + 42*x^5 - 46*x^4 + 46*x^3 - 42*x^2 - sqrt(3)*(15*x^7 - 22*x^6 + 24*x^5 - 27*x^4 + 26*x^3 - 24*x^2 + 12*x - 4) + 20*x - 8)*sqrt(56*sqrt(3) + 97) + (sqrt(3)*(123*x^6 - 2016*x^5 + 2214*x^4 - 2064*x^3 + 396*x^2 - sqrt(3)*(71*x^6 - 1164*x^5 + 1278*x^4 - 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(x^3 - 1)*sqrt(56*sqrt(3) + 97) - 6*(5*x^6 - 27*x^5 + 48*x^4 - 58*x^3 + 36*x^2 - 3*sqrt(3)*(x^6 - 5*x^5 + 10*x^4 - 10*x^3 + 8*x^2 - 4*x) - 12*x + 8)*sqrt(x^3 - 1))*sqrt(-4*sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 24)*(672*sqrt(3) + 1164)^(1/4) + 72*sqrt(3)*(x^7 - 4*x^6 + 6*x^5 - 5*x^4 - 4*x^3 - 6*x^2 + 4*x + 8) + 288*x + 1152)/(x^8 + 4*x^7 + 16*x^6 + 16*x^5 + 28*x^4 - 32*x^3 + 64*x^2 - 32*x + 16)) - 1/2592*(sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 6)*sqrt(-4*sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 24)*(672*sqrt(3) + 1164)^(1/4)*log(1/18*(18*x^8 - 36*x^7 + 828*x^6 - 360*x^5 + 720*x^4 - 1008*x^3 - 144*x^2 + 72*sqrt(3)*(26*x^7 - 38*x^6 + 42*x^5 - 46*x^4 + 46*x^3 - 42*x^2 - sqrt(3)*(15*x^7 - 22*x^6 + 24*x^5 - 27*x^4 + 26*x^3 - 24*x^2 + 12*x - 4) + 20*x - 8)*sqrt(56*sqrt(3) + 97) - (sqrt(3)*(123*x^6 - 2016*x^5 + 2214*x^4 - 2064*x^3 + 396*x^2 - sqrt(3)*(71*x^6 - 1164*x^5 + 1278*x^4 - 1192*x^3 + 228*x^2 - 112) - 192)*sqrt(x^3 - 1)*sqrt(56*sqrt(3) + 97) - 6*(5*x^6 - 27*x^5 + 48*x^4 - 58*x^3 + 36*x^2 - 3*sqrt(3)*(x^6 - 5*x^5 + 10*x^4 - 10*x^3 + 8*x^2 - 4*x) - 12*x + 8)*sqrt(x^3 - 1))*sqrt(-4*sqrt(3)*sqrt(56*sqrt(3) + 97)*(7*sqrt(3) - 12) + 24)*(672*sqrt(3) + 1164)^(1/4) + 72*sqrt(3)*(x^7 - 4*x^6 + 6*x^5 - 5*x^4 - 4*x^3 - 6*x^2 + 4*x + 8) + 288*x + 1152)/(x^8 + 4*x^7 + 16*x^6 + 16*x^5 + 28*x^4 - 32*x^3 + 64*x^2 - 32*x + 16)) - 1/36*sqrt(14*sqrt(3) + 24)*arctan(-1/12*(3*x^2 - sqrt(3)*(x^2 + 10*x - 8) + 18*x - 12)*sqrt(14*sqrt(3) + 24)/sqrt(x^3 - 1))","B",0
90,1,323,0,1.573985," ","integrate((1+x-3^(1/2))/(1+x+3^(1/2))/(-4+x^4+4*3^(1/2)*x^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{2 \, \sqrt{3} - 3} \log\left(-\frac{37 \, x^{12} - 204 \, x^{11} + 804 \, x^{10} - 2408 \, x^{9} + 3708 \, x^{8} - 5472 \, x^{7} + 6432 \, x^{6} + 10944 \, x^{5} + 14832 \, x^{4} + 19264 \, x^{3} + 12864 \, x^{2} + {\left(54 \, x^{10} - 300 \, x^{9} + 1026 \, x^{8} - 2232 \, x^{7} + 3024 \, x^{6} - 3024 \, x^{5} - 1008 \, x^{4} - 2016 \, x^{3} - 2592 \, x^{2} + \sqrt{3} {\left(31 \, x^{10} - 176 \, x^{9} + 576 \, x^{8} - 1320 \, x^{7} + 1848 \, x^{6} - 1008 \, x^{5} + 1344 \, x^{4} + 1632 \, x^{3} + 1008 \, x^{2} + 832 \, x + 256\right)} - 1152 \, x - 480\right)} \sqrt{x^{4} + 4 \, \sqrt{3} x^{2} - 4} \sqrt{2 \, \sqrt{3} - 3} + 3 \, \sqrt{3} {\left(7 \, x^{12} - 40 \, x^{11} + 160 \, x^{10} - 400 \, x^{9} + 924 \, x^{8} - 960 \, x^{7} - 1920 \, x^{5} - 3696 \, x^{4} - 3200 \, x^{3} - 2560 \, x^{2} - 1280 \, x - 448\right)} + 6528 \, x + 2368}{x^{12} + 12 \, x^{11} + 48 \, x^{10} + 40 \, x^{9} - 180 \, x^{8} - 288 \, x^{7} + 384 \, x^{6} + 576 \, x^{5} - 720 \, x^{4} - 320 \, x^{3} + 768 \, x^{2} - 384 \, x + 64}\right)"," ",0,"1/12*sqrt(2*sqrt(3) - 3)*log(-(37*x^12 - 204*x^11 + 804*x^10 - 2408*x^9 + 3708*x^8 - 5472*x^7 + 6432*x^6 + 10944*x^5 + 14832*x^4 + 19264*x^3 + 12864*x^2 + (54*x^10 - 300*x^9 + 1026*x^8 - 2232*x^7 + 3024*x^6 - 3024*x^5 - 1008*x^4 - 2016*x^3 - 2592*x^2 + sqrt(3)*(31*x^10 - 176*x^9 + 576*x^8 - 1320*x^7 + 1848*x^6 - 1008*x^5 + 1344*x^4 + 1632*x^3 + 1008*x^2 + 832*x + 256) - 1152*x - 480)*sqrt(x^4 + 4*sqrt(3)*x^2 - 4)*sqrt(2*sqrt(3) - 3) + 3*sqrt(3)*(7*x^12 - 40*x^11 + 160*x^10 - 400*x^9 + 924*x^8 - 960*x^7 - 1920*x^5 - 3696*x^4 - 3200*x^3 - 2560*x^2 - 1280*x - 448) + 6528*x + 2368)/(x^12 + 12*x^11 + 48*x^10 + 40*x^9 - 180*x^8 - 288*x^7 + 384*x^6 + 576*x^5 - 720*x^4 - 320*x^3 + 768*x^2 - 384*x + 64))","B",0
91,1,112,0,1.167657," ","integrate((1+x+3^(1/2))/(1+x-3^(1/2))/(-4+x^4-4*3^(1/2)*x^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{2 \, \sqrt{3} + 3} \arctan\left(-\frac{{\left(9 \, x^{4} - 30 \, x^{3} + 18 \, x^{2} - 2 \, \sqrt{3} {\left(2 \, x^{4} - 10 \, x^{3} + 3 \, x^{2} - 10 \, x + 2\right)} + 24\right)} \sqrt{x^{4} - 4 \, \sqrt{3} x^{2} - 4} \sqrt{2 \, \sqrt{3} + 3}}{11 \, x^{6} - 42 \, x^{5} + 66 \, x^{4} - 176 \, x^{3} - 132 \, x^{2} - 168 \, x - 88}\right)"," ",0,"1/6*sqrt(2*sqrt(3) + 3)*arctan(-(9*x^4 - 30*x^3 + 18*x^2 - 2*sqrt(3)*(2*x^4 - 10*x^3 + 3*x^2 - 10*x + 2) + 24)*sqrt(x^4 - 4*sqrt(3)*x^2 - 4)*sqrt(2*sqrt(3) + 3)/(11*x^6 - 42*x^5 + 66*x^4 - 176*x^3 - 132*x^2 - 168*x - 88))","B",0
92,-2,0,0,0.000000," ","integrate((-1+x)/(1+x)/(x^3+2)^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (residue poly has multiple non-linear factors)","F(-2)",0
93,1,267,0,3.477489," ","integrate(1/(1+x)/(x^3+2)^(1/3),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \arctan\left(\frac{13910019318573948542 \, \sqrt{3} {\left(7114781247 \, x^{4} + 13663058416 \, x^{3} - 46178206896 \, x^{2} - 126842559344 \, x - 77084338088\right)} {\left(x^{3} + 2\right)}^{\frac{2}{3}} - 27820038637147897084 \, \sqrt{3} {\left(1625757424 \, x^{5} + 16302821713 \, x^{4} + 26102613730 \, x^{3} - 26431113242 \, x^{2} - 80188343316 \, x - 42779182428\right)} {\left(x^{3} + 2\right)}^{\frac{1}{3}} + \sqrt{3} {\left(93292570833559435663132301885 \, x^{6} + 382151535711085278859235047618 \, x^{5} + 673924074224408772959625384792 \, x^{4} + 889426563183087468015580290048 \, x^{3} + 888876515195959220955879945824 \, x^{2} + 351260598258508240019971964880 \, x - 47674000995597211057816884304\right)}}{3 \, {\left(78905434814564721745708464883 \, x^{6} + 337746705836458222863347934450 \, x^{5} + 15598952776058587894336070976 \, x^{4} - 895430525315100108684787964824 \, x^{3} + 361667862240477028869533375352 \, x^{2} + 2541802301011632510645972090336 \, x + 1554815286823334092314485968880\right)}}\right) + \frac{1}{12} \, \log\left(\frac{22 \, x^{6} + 6 \, x^{5} - 48 \, x^{4} + 44 \, x^{3} + 24 \, x^{2} + 3 \, {\left(7 \, x^{4} - 2 \, x^{3} - 32 \, x^{2} - 20 \, x + 4\right)} {\left(x^{3} + 2\right)}^{\frac{2}{3}} + 3 \, {\left(7 \, x^{5} - 16 \, x^{3} + 34 \, x^{2} + 76 \, x + 32\right)} {\left(x^{3} + 2\right)}^{\frac{1}{3}} - 192 \, x - 140}{x^{6} + 6 \, x^{5} + 15 \, x^{4} + 20 \, x^{3} + 15 \, x^{2} + 6 \, x + 1}\right)"," ",0,"1/6*sqrt(3)*arctan(1/3*(13910019318573948542*sqrt(3)*(7114781247*x^4 + 13663058416*x^3 - 46178206896*x^2 - 126842559344*x - 77084338088)*(x^3 + 2)^(2/3) - 27820038637147897084*sqrt(3)*(1625757424*x^5 + 16302821713*x^4 + 26102613730*x^3 - 26431113242*x^2 - 80188343316*x - 42779182428)*(x^3 + 2)^(1/3) + sqrt(3)*(93292570833559435663132301885*x^6 + 382151535711085278859235047618*x^5 + 673924074224408772959625384792*x^4 + 889426563183087468015580290048*x^3 + 888876515195959220955879945824*x^2 + 351260598258508240019971964880*x - 47674000995597211057816884304))/(78905434814564721745708464883*x^6 + 337746705836458222863347934450*x^5 + 15598952776058587894336070976*x^4 - 895430525315100108684787964824*x^3 + 361667862240477028869533375352*x^2 + 2541802301011632510645972090336*x + 1554815286823334092314485968880)) + 1/12*log((22*x^6 + 6*x^5 - 48*x^4 + 44*x^3 + 24*x^2 + 3*(7*x^4 - 2*x^3 - 32*x^2 - 20*x + 4)*(x^3 + 2)^(2/3) + 3*(7*x^5 - 16*x^3 + 34*x^2 + 76*x + 32)*(x^3 + 2)^(1/3) - 192*x - 140)/(x^6 + 6*x^5 + 15*x^4 + 20*x^3 + 15*x^2 + 6*x + 1))","B",0
94,-1,0,0,0.000000," ","integrate(1/(-x^3+1)/(b*x^3+a)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,-1,0,0,0.000000," ","integrate((1+x)/(x^2+x+1)/(b*x^3+a)^(1/3),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
96,1,387,0,1.710219," ","integrate(x^2/(-x^3+1)/(b*x^3+a)^(1/3),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{\frac{1}{3}} {\left(a + b\right)} \sqrt{\frac{{\left(-a - b\right)}^{\frac{1}{3}}}{a + b}} \log\left(\frac{2 \, b x^{3} + 3 \, \sqrt{\frac{1}{3}} {\left({\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(a + b\right)} - {\left(a + b\right)} {\left(-a - b\right)}^{\frac{1}{3}} - 2 \, {\left(b x^{3} + a\right)}^{\frac{2}{3}} {\left(-a - b\right)}^{\frac{2}{3}}\right)} \sqrt{\frac{{\left(-a - b\right)}^{\frac{1}{3}}}{a + b}} + 3 \, a - 3 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(-a - b\right)}^{\frac{2}{3}} + b}{x^{3} - 1}\right) + {\left(-a - b\right)}^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} - {\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(-a - b\right)}^{\frac{1}{3}} + {\left(-a - b\right)}^{\frac{2}{3}}\right) - 2 \, {\left(-a - b\right)}^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{1}{3}} + {\left(-a - b\right)}^{\frac{1}{3}}\right)}{6 \, {\left(a + b\right)}}, -\frac{6 \, \sqrt{\frac{1}{3}} {\left(a + b\right)} \sqrt{-\frac{{\left(-a - b\right)}^{\frac{1}{3}}}{a + b}} \arctan\left(\sqrt{\frac{1}{3}} {\left(2 \, {\left(b x^{3} + a\right)}^{\frac{1}{3}} - {\left(-a - b\right)}^{\frac{1}{3}}\right)} \sqrt{-\frac{{\left(-a - b\right)}^{\frac{1}{3}}}{a + b}}\right) - {\left(-a - b\right)}^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{2}{3}} - {\left(b x^{3} + a\right)}^{\frac{1}{3}} {\left(-a - b\right)}^{\frac{1}{3}} + {\left(-a - b\right)}^{\frac{2}{3}}\right) + 2 \, {\left(-a - b\right)}^{\frac{2}{3}} \log\left({\left(b x^{3} + a\right)}^{\frac{1}{3}} + {\left(-a - b\right)}^{\frac{1}{3}}\right)}{6 \, {\left(a + b\right)}}\right]"," ",0,"[1/6*(3*sqrt(1/3)*(a + b)*sqrt((-a - b)^(1/3)/(a + b))*log((2*b*x^3 + 3*sqrt(1/3)*((b*x^3 + a)^(1/3)*(a + b) - (a + b)*(-a - b)^(1/3) - 2*(b*x^3 + a)^(2/3)*(-a - b)^(2/3))*sqrt((-a - b)^(1/3)/(a + b)) + 3*a - 3*(b*x^3 + a)^(1/3)*(-a - b)^(2/3) + b)/(x^3 - 1)) + (-a - b)^(2/3)*log((b*x^3 + a)^(2/3) - (b*x^3 + a)^(1/3)*(-a - b)^(1/3) + (-a - b)^(2/3)) - 2*(-a - b)^(2/3)*log((b*x^3 + a)^(1/3) + (-a - b)^(1/3)))/(a + b), -1/6*(6*sqrt(1/3)*(a + b)*sqrt(-(-a - b)^(1/3)/(a + b))*arctan(sqrt(1/3)*(2*(b*x^3 + a)^(1/3) - (-a - b)^(1/3))*sqrt(-(-a - b)^(1/3)/(a + b))) - (-a - b)^(2/3)*log((b*x^3 + a)^(2/3) - (b*x^3 + a)^(1/3)*(-a - b)^(1/3) + (-a - b)^(2/3)) + 2*(-a - b)^(2/3)*log((b*x^3 + a)^(1/3) + (-a - b)^(1/3)))/(a + b)]","B",0
97,1,253,0,9.026703," ","integrate(1/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""fricas"")","-\frac{1}{18} \, \sqrt{6} 2^{\frac{1}{6}} \arctan\left(\frac{2^{\frac{1}{6}} {\left(6 \, \sqrt{6} 2^{\frac{2}{3}} {\left(5 \, x^{7} + 4 \, x^{4} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - \sqrt{6} 2^{\frac{1}{3}} {\left(71 \, x^{9} - 111 \, x^{6} + 33 \, x^{3} - 1\right)} + 12 \, \sqrt{6} {\left(19 \, x^{8} - 16 \, x^{5} + x^{2}\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{6 \, {\left(109 \, x^{9} - 105 \, x^{6} + 3 \, x^{3} + 1\right)}}\right) + \frac{1}{18} \cdot 2^{\frac{2}{3}} \log\left(\frac{6 \cdot 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 2^{\frac{2}{3}} {\left(x^{3} + 1\right)} + 6 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x}{x^{3} + 1}\right) - \frac{1}{36} \cdot 2^{\frac{2}{3}} \log\left(\frac{3 \cdot 2^{\frac{2}{3}} {\left(5 \, x^{4} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(19 \, x^{6} - 16 \, x^{3} + 1\right)} - 12 \, {\left(2 \, x^{5} - x^{2}\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{6} + 2 \, x^{3} + 1}\right)"," ",0,"-1/18*sqrt(6)*2^(1/6)*arctan(1/6*2^(1/6)*(6*sqrt(6)*2^(2/3)*(5*x^7 + 4*x^4 - x)*(-x^3 + 1)^(2/3) - sqrt(6)*2^(1/3)*(71*x^9 - 111*x^6 + 33*x^3 - 1) + 12*sqrt(6)*(19*x^8 - 16*x^5 + x^2)*(-x^3 + 1)^(1/3))/(109*x^9 - 105*x^6 + 3*x^3 + 1)) + 1/18*2^(2/3)*log((6*2^(1/3)*(-x^3 + 1)^(1/3)*x^2 + 2^(2/3)*(x^3 + 1) + 6*(-x^3 + 1)^(2/3)*x)/(x^3 + 1)) - 1/36*2^(2/3)*log((3*2^(2/3)*(5*x^4 - x)*(-x^3 + 1)^(2/3) + 2^(1/3)*(19*x^6 - 16*x^3 + 1) - 12*(2*x^5 - x^2)*(-x^3 + 1)^(1/3))/(x^6 + 2*x^3 + 1))","B",0
98,1,373,0,6.547142," ","integrate(x/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""fricas"")","-\frac{1}{36} \, \sqrt{6} 2^{\frac{1}{6}} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{2^{\frac{1}{6}} {\left(24 \, \sqrt{6} 2^{\frac{2}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{14} - 2 \, x^{11} - 6 \, x^{8} - 2 \, x^{5} + x^{2}\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 12 \, \sqrt{6} \left(-1\right)^{\frac{1}{3}} {\left(x^{16} - 33 \, x^{13} + 110 \, x^{10} - 110 \, x^{7} + 33 \, x^{4} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + \sqrt{6} 2^{\frac{1}{3}} {\left(x^{18} + 42 \, x^{15} - 417 \, x^{12} + 812 \, x^{9} - 417 \, x^{6} + 42 \, x^{3} + 1\right)}\right)}}{6 \, {\left(x^{18} - 102 \, x^{15} + 447 \, x^{12} - 628 \, x^{9} + 447 \, x^{6} - 102 \, x^{3} + 1\right)}}\right) - \frac{1}{72} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{12 \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{8} - 4 \, x^{5} + x^{2}\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{12} - 32 \, x^{9} + 78 \, x^{6} - 32 \, x^{3} + 1\right)} - 6 \, {\left(x^{10} - 11 \, x^{7} + 11 \, x^{4} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{12} + 4 \, x^{9} + 6 \, x^{6} + 4 \, x^{3} + 1}\right) + \frac{1}{36} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{12 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x^{2} - 6 \cdot 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{6} + 2 \, x^{3} + 1\right)}}{x^{6} + 2 \, x^{3} + 1}\right)"," ",0,"-1/36*sqrt(6)*2^(1/6)*(-1)^(1/3)*arctan(1/6*2^(1/6)*(24*sqrt(6)*2^(2/3)*(-1)^(2/3)*(x^14 - 2*x^11 - 6*x^8 - 2*x^5 + x^2)*(-x^3 + 1)^(2/3) + 12*sqrt(6)*(-1)^(1/3)*(x^16 - 33*x^13 + 110*x^10 - 110*x^7 + 33*x^4 - x)*(-x^3 + 1)^(1/3) + sqrt(6)*2^(1/3)*(x^18 + 42*x^15 - 417*x^12 + 812*x^9 - 417*x^6 + 42*x^3 + 1))/(x^18 - 102*x^15 + 447*x^12 - 628*x^9 + 447*x^6 - 102*x^3 + 1)) - 1/72*2^(2/3)*(-1)^(1/3)*log(-(12*2^(2/3)*(-1)^(1/3)*(x^8 - 4*x^5 + x^2)*(-x^3 + 1)^(2/3) - 2^(1/3)*(-1)^(2/3)*(x^12 - 32*x^9 + 78*x^6 - 32*x^3 + 1) - 6*(x^10 - 11*x^7 + 11*x^4 - x)*(-x^3 + 1)^(1/3))/(x^12 + 4*x^9 + 6*x^6 + 4*x^3 + 1)) + 1/36*2^(2/3)*(-1)^(1/3)*log(-(12*(-x^3 + 1)^(2/3)*x^2 - 6*2^(1/3)*(-1)^(2/3)*(x^4 - x)*(-x^3 + 1)^(1/3) - 2^(2/3)*(-1)^(1/3)*(x^6 + 2*x^3 + 1))/(x^6 + 2*x^3 + 1))","B",0
99,1,90,0,1.279338," ","integrate(x^2/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{6} 2^{\frac{1}{6}} \arctan\left(\frac{1}{6} \cdot 2^{\frac{1}{6}} {\left(\sqrt{6} 2^{\frac{1}{3}} + 2 \, \sqrt{6} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(2^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \log\left(-2^{\frac{1}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)"," ",0,"1/6*sqrt(6)*2^(1/6)*arctan(1/6*2^(1/6)*(sqrt(6)*2^(1/3) + 2*sqrt(6)*(-x^3 + 1)^(1/3))) - 1/12*2^(2/3)*log(2^(2/3) + 2^(1/3)*(-x^3 + 1)^(1/3) + (-x^3 + 1)^(2/3)) + 1/6*2^(2/3)*log(-2^(1/3) + (-x^3 + 1)^(1/3))","A",0
100,1,318,0,28.104690," ","integrate((1+x)/(x^2-x+1)/(-x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(4 \cdot 2^{\frac{1}{6}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} - 4 \, x^{3} + 5 \, x^{2} - 4 \, x + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - 4 \, \sqrt{2} \left(-1\right)^{\frac{1}{3}} {\left(x^{5} - x^{4} - 3 \, x^{3} + 3 \, x^{2} + x - 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 2^{\frac{5}{6}} {\left(x^{6} - 7 \, x^{5} + 10 \, x^{4} - 7 \, x^{3} + 10 \, x^{2} - 7 \, x + 1\right)}\right)}}{6 \, {\left(3 \, x^{6} - 9 \, x^{5} + 6 \, x^{4} - x^{3} + 6 \, x^{2} - 9 \, x + 3\right)}}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{2} - 3 \, x + 1\right)} + 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} - 3 \, x^{2} + 1\right)} + 4 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{2} - x\right)}}{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{2 \cdot 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} + 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{2} - x + 1\right)} - 2 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2} - x + 1}\right)"," ",0,"1/6*sqrt(3)*2^(2/3)*(-1)^(1/3)*arctan(1/6*sqrt(3)*2^(1/6)*(4*2^(1/6)*(-1)^(2/3)*(x^4 - 4*x^3 + 5*x^2 - 4*x + 1)*(-x^3 + 1)^(2/3) - 4*sqrt(2)*(-1)^(1/3)*(x^5 - x^4 - 3*x^3 + 3*x^2 + x - 1)*(-x^3 + 1)^(1/3) + 2^(5/6)*(x^6 - 7*x^5 + 10*x^4 - 7*x^3 + 10*x^2 - 7*x + 1))/(3*x^6 - 9*x^5 + 6*x^4 - x^3 + 6*x^2 - 9*x + 3)) - 1/12*2^(2/3)*(-1)^(1/3)*log(-(2^(2/3)*(-1)^(1/3)*(-x^3 + 1)^(2/3)*(x^2 - 3*x + 1) + 2^(1/3)*(-1)^(2/3)*(x^4 - 3*x^2 + 1) + 4*(-x^3 + 1)^(1/3)*(x^2 - x))/(x^4 - 2*x^3 + 3*x^2 - 2*x + 1)) + 1/6*2^(2/3)*(-1)^(1/3)*log(-(2*2^(1/3)*(-1)^(2/3)*(-x^3 + 1)^(1/3)*(x - 1) + 2^(2/3)*(-1)^(1/3)*(x^2 - x + 1) - 2*(-x^3 + 1)^(2/3))/(x^2 - x + 1))","B",0
101,1,318,0,27.590903," ","integrate((1+x)^2/(-x^3+1)^(1/3)/(x^3+1),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(4 \cdot 2^{\frac{1}{6}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} - 4 \, x^{3} + 5 \, x^{2} - 4 \, x + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - 4 \, \sqrt{2} \left(-1\right)^{\frac{1}{3}} {\left(x^{5} - x^{4} - 3 \, x^{3} + 3 \, x^{2} + x - 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 2^{\frac{5}{6}} {\left(x^{6} - 7 \, x^{5} + 10 \, x^{4} - 7 \, x^{3} + 10 \, x^{2} - 7 \, x + 1\right)}\right)}}{6 \, {\left(3 \, x^{6} - 9 \, x^{5} + 6 \, x^{4} - x^{3} + 6 \, x^{2} - 9 \, x + 3\right)}}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{2} - 3 \, x + 1\right)} + 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(x^{4} - 3 \, x^{2} + 1\right)} + 4 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{2} - x\right)}}{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} \log\left(-\frac{2 \cdot 2^{\frac{1}{3}} \left(-1\right)^{\frac{2}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} {\left(x - 1\right)} + 2^{\frac{2}{3}} \left(-1\right)^{\frac{1}{3}} {\left(x^{2} - x + 1\right)} - 2 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2} - x + 1}\right)"," ",0,"1/6*sqrt(3)*2^(2/3)*(-1)^(1/3)*arctan(1/6*sqrt(3)*2^(1/6)*(4*2^(1/6)*(-1)^(2/3)*(x^4 - 4*x^3 + 5*x^2 - 4*x + 1)*(-x^3 + 1)^(2/3) - 4*sqrt(2)*(-1)^(1/3)*(x^5 - x^4 - 3*x^3 + 3*x^2 + x - 1)*(-x^3 + 1)^(1/3) + 2^(5/6)*(x^6 - 7*x^5 + 10*x^4 - 7*x^3 + 10*x^2 - 7*x + 1))/(3*x^6 - 9*x^5 + 6*x^4 - x^3 + 6*x^2 - 9*x + 3)) - 1/12*2^(2/3)*(-1)^(1/3)*log(-(2^(2/3)*(-1)^(1/3)*(-x^3 + 1)^(2/3)*(x^2 - 3*x + 1) + 2^(1/3)*(-1)^(2/3)*(x^4 - 3*x^2 + 1) + 4*(-x^3 + 1)^(1/3)*(x^2 - x))/(x^4 - 2*x^3 + 3*x^2 - 2*x + 1)) + 1/6*2^(2/3)*(-1)^(1/3)*log(-(2*2^(1/3)*(-1)^(2/3)*(-x^3 + 1)^(1/3)*(x - 1) + 2^(2/3)*(-1)^(1/3)*(x^2 - x + 1) - 2*(-x^3 + 1)^(2/3))/(x^2 - x + 1))","B",0
102,1,268,0,28.297541," ","integrate((1-x)/(x^2+x+1)/(x^3+1)^(1/3),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} 2^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} 2^{\frac{1}{6}} {\left(2^{\frac{5}{6}} {\left(x^{6} + 7 \, x^{5} + 10 \, x^{4} + 7 \, x^{3} + 10 \, x^{2} + 7 \, x + 1\right)} - 4 \, \sqrt{2} {\left(x^{5} + x^{4} - 3 \, x^{3} - 3 \, x^{2} + x + 1\right)} {\left(x^{3} + 1\right)}^{\frac{1}{3}} + 4 \cdot 2^{\frac{1}{6}} {\left(x^{4} + 4 \, x^{3} + 5 \, x^{2} + 4 \, x + 1\right)} {\left(x^{3} + 1\right)}^{\frac{2}{3}}\right)}}{6 \, {\left(3 \, x^{6} + 9 \, x^{5} + 6 \, x^{4} + x^{3} + 6 \, x^{2} + 9 \, x + 3\right)}}\right) - \frac{1}{12} \cdot 2^{\frac{2}{3}} \log\left(\frac{2^{\frac{2}{3}} {\left(x^{3} + 1\right)}^{\frac{2}{3}} {\left(x^{2} + 3 \, x + 1\right)} - 2^{\frac{1}{3}} {\left(x^{4} - 3 \, x^{2} + 1\right)} - 4 \, {\left(x^{3} + 1\right)}^{\frac{1}{3}} {\left(x^{2} + x\right)}}{x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1}\right) + \frac{1}{6} \cdot 2^{\frac{2}{3}} \log\left(\frac{2^{\frac{2}{3}} {\left(x^{2} + x + 1\right)} + 2 \cdot 2^{\frac{1}{3}} {\left(x^{3} + 1\right)}^{\frac{1}{3}} {\left(x + 1\right)} + 2 \, {\left(x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2} + x + 1}\right)"," ",0,"1/6*sqrt(3)*2^(2/3)*arctan(1/6*sqrt(3)*2^(1/6)*(2^(5/6)*(x^6 + 7*x^5 + 10*x^4 + 7*x^3 + 10*x^2 + 7*x + 1) - 4*sqrt(2)*(x^5 + x^4 - 3*x^3 - 3*x^2 + x + 1)*(x^3 + 1)^(1/3) + 4*2^(1/6)*(x^4 + 4*x^3 + 5*x^2 + 4*x + 1)*(x^3 + 1)^(2/3))/(3*x^6 + 9*x^5 + 6*x^4 + x^3 + 6*x^2 + 9*x + 3)) - 1/12*2^(2/3)*log((2^(2/3)*(x^3 + 1)^(2/3)*(x^2 + 3*x + 1) - 2^(1/3)*(x^4 - 3*x^2 + 1) - 4*(x^3 + 1)^(1/3)*(x^2 + x))/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1)) + 1/6*2^(2/3)*log((2^(2/3)*(x^2 + x + 1) + 2*2^(1/3)*(x^3 + 1)^(1/3)*(x + 1) + 2*(x^3 + 1)^(2/3))/(x^2 + x + 1))","B",0
103,0,0,0,0.929699," ","integrate((-x^3+1)^(2/3)/(x^2+x+1)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1}, x\right)"," ",0,"integral((-x^3 + 1)^(2/3)/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1), x)","F",0
104,0,0,0,1.167957," ","integrate((1-x)/(x^2+x+1)/(-x^3+1)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1}, x\right)"," ",0,"integral((-x^3 + 1)^(2/3)/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1), x)","F",0
105,0,0,0,1.124714," ","integrate((1-x)^2/(-x^3+1)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{4} + 2 \, x^{3} + 3 \, x^{2} + 2 \, x + 1}, x\right)"," ",0,"integral((-x^3 + 1)^(2/3)/(x^4 + 2*x^3 + 3*x^2 + 2*x + 1), x)","F",0
106,1,94,0,1.163246," ","integrate((-x^3+1)^(2/3),x, algorithm=""fricas"")","\frac{1}{3} \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x - \frac{2}{9} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} x - 2 \, \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{2}{9} \, \log\left(\frac{x + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{9} \, \log\left(\frac{x^{2} - {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"1/3*(-x^3 + 1)^(2/3)*x - 2/9*sqrt(3)*arctan(-1/3*(sqrt(3)*x - 2*sqrt(3)*(-x^3 + 1)^(1/3))/x) + 2/9*log((x + (-x^3 + 1)^(1/3))/x) - 1/9*log((x^2 - (-x^3 + 1)^(1/3)*x + (-x^3 + 1)^(2/3))/x^2)","A",0
107,1,75,0,1.624798," ","integrate((-x^3+1)^(2/3)/x,x, algorithm=""fricas"")","\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + \frac{1}{3} \, \sqrt{3}\right) + \frac{1}{2} \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - \frac{1}{6} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{2}{3}} + {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 1\right) + \frac{1}{3} \, \log\left({\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 1\right)"," ",0,"1/3*sqrt(3)*arctan(2/3*sqrt(3)*(-x^3 + 1)^(1/3) + 1/3*sqrt(3)) + 1/2*(-x^3 + 1)^(2/3) - 1/6*log((-x^3 + 1)^(2/3) + (-x^3 + 1)^(1/3) + 1) + 1/3*log((-x^3 + 1)^(1/3) - 1)","A",0
108,-1,0,0,0.000000," ","integrate((-x^3+1)^(2/3)/(b*x+a),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
109,0,0,0,9.176389," ","integrate((-x^3+1)^(2/3)/(x^2-x+1)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{4} - 2 \, x^{3} + 3 \, x^{2} - 2 \, x + 1}, x\right)"," ",0,"integral((-x^3 + 1)^(2/3)/(x^4 - 2*x^3 + 3*x^2 - 2*x + 1), x)","F",0
110,1,1827,0,8.427305," ","integrate((1-2*x)*(-x^3+1)^(2/3)/(x^2-x+1)^2,x, algorithm=""fricas"")","-\frac{8 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(x^{2} - x + 1\right)} \arctan\left(-\frac{3822 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(50 \, x^{4} - 74 \, x^{3} - 207 \, x^{2} + 143 \, x + 19\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 7644 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(19 \, x^{5} - 150 \, x^{4} + 43 \, x^{3} + 112 \, x^{2} + 57 \, x - 50\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 7 \, \sqrt{39} {\left(6 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(1150 \, x^{4} - 3974 \, x^{3} - 1911 \, x^{2} + 1522 \, x + 3898\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - 4^{\frac{2}{3}} \sqrt{3} {\left(1778 \, x^{6} - 6366 \, x^{5} - 8412 \, x^{4} + 17254 \, x^{3} + 15117 \, x^{2} - 4227 \, x - 16105\right)} + 12 \, \sqrt{3} {\left(437 \, x^{5} - 1539 \, x^{4} - 333 \, x^{3} - 2074 \, x^{2} + 372 \, x + 3261\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{6 \cdot 4^{\frac{1}{3}} {\left(5 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} - 4 \, x + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 4^{\frac{2}{3}} {\left(19 \, x^{6} + 15 \, x^{5} - 12 \, x^{4} - 25 \, x^{3} - 12 \, x^{2} + 15 \, x + 1\right)} - 12 \, {\left(4 \, x^{5} + 3 \, x^{4} - 2 \, x^{3} - 5 \, x^{2} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{6} - 3 \, x^{5} + 6 \, x^{4} - 7 \, x^{3} + 6 \, x^{2} - 3 \, x + 1}} + 6 \, \sqrt{3} {\left(29494 \, x^{6} - 17582 \, x^{5} + 153824 \, x^{4} - 266248 \, x^{3} - 129950 \, x^{2} + 238106 \, x - 29747\right)}}{6 \, {\left(138718 \, x^{6} - 463746 \, x^{5} - 296508 \, x^{4} - 115072 \, x^{3} + 1093704 \, x^{2} - 70446 \, x - 256859\right)}}\right) + 8 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(x^{2} - x + 1\right)} \arctan\left(\frac{3822 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(19 \, x^{4} - 181 \, x^{3} + 36 \, x^{2} + 169 \, x - 31\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - 7644 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(31 \, x^{5} + 57 \, x^{4} - 131 \, x^{3} - 119 \, x^{2} + 93 \, x + 19\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 7 \, \sqrt{39} {\left(6 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(3385 \, x^{4} + 3574 \, x^{3} - 1911 \, x^{2} - 2948 \, x + 124\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 4^{\frac{2}{3}} \sqrt{3} {\left(13027 \, x^{6} + 16539 \, x^{5} - 8961 \, x^{4} - 32644 \, x^{3} - 2361 \, x^{2} + 17139 \, x - 239\right)} - 12 \, \sqrt{3} {\left(2748 \, x^{5} + 3450 \, x^{4} - 4126 \, x^{3} - 2385 \, x^{2} + 1539 \, x - 76\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)} \sqrt{\frac{6 \cdot 4^{\frac{1}{3}} {\left(x^{4} - 4 \, x^{3} - 3 \, x^{2} + 4 \, x + 5\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 4^{\frac{2}{3}} {\left(x^{6} + 15 \, x^{5} - 12 \, x^{4} - 25 \, x^{3} - 12 \, x^{2} + 15 \, x + 19\right)} + 12 \, {\left(x^{5} - 5 \, x^{3} - 2 \, x^{2} + 3 \, x + 4\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{6} - 3 \, x^{5} + 6 \, x^{4} - 7 \, x^{3} + 6 \, x^{2} - 3 \, x + 1}} + 6 \, \sqrt{3} {\left(53953 \, x^{6} - 12994 \, x^{5} - 396521 \, x^{4} + 169424 \, x^{3} + 300029 \, x^{2} - 62294 \, x - 41597\right)}}{6 \, {\left(52723 \, x^{6} + 682854 \, x^{5} - 325173 \, x^{4} - 1353400 \, x^{3} + 193623 \, x^{2} + 640446 \, x - 16073\right)}}\right) + 16 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(x^{2} - x + 1\right)} \arctan\left(\frac{7644 \cdot 4^{\frac{2}{3}} \sqrt{3} {\left(5 \, x^{4} - 107 \, x^{3} - 243 \, x^{2} + 26 \, x + 157\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - 7644 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(307 \, x^{5} + 300 \, x^{4} - 140 \, x^{3} - 221 \, x^{2} - 186 \, x - 98\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} + 7 \, \sqrt{39} 4^{\frac{1}{3}} {\left(6 \cdot 4^{\frac{1}{3}} \sqrt{3} {\left(3109 \, x^{4} + 400 \, x^{3} - 3822 \, x^{2} + 1426 \, x + 3622\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 4^{\frac{2}{3}} \sqrt{3} {\left(15505 \, x^{6} + 11493 \, x^{5} - 22383 \, x^{4} - 22720 \, x^{3} - 5454 \, x^{2} + 13032 \, x + 10888\right)} - 12 \, \sqrt{3} {\left(2111 \, x^{5} + 3450 \, x^{4} - 941 \, x^{3} - 1111 \, x^{2} - 372 \, x - 2624\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)} + 6 \, \sqrt{3} {\left(307479 \, x^{6} + 239258 \, x^{5} - 543668 \, x^{4} - 607716 \, x^{3} + 19112 \, x^{2} + 232000 \, x + 343788\right)}}{6 \, {\left(933353 \, x^{6} + 1472754 \, x^{5} + 285042 \, x^{4} - 1008596 \, x^{3} - 1598208 \, x^{2} - 560184 \, x + 468980\right)}}\right) + 48 \, \sqrt{3} {\left(x^{2} - x + 1\right)} \arctan\left(\frac{4 \, \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 2 \, \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x - \sqrt{3} {\left(x^{3} - 1\right)}}{9 \, x^{3} - 1}\right) - 3 \cdot 4^{\frac{1}{3}} {\left(x^{2} - x + 1\right)} \log\left(\frac{39626496 \, {\left(6 \cdot 4^{\frac{1}{3}} {\left(5 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} - 4 \, x + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 4^{\frac{2}{3}} {\left(19 \, x^{6} + 15 \, x^{5} - 12 \, x^{4} - 25 \, x^{3} - 12 \, x^{2} + 15 \, x + 1\right)} - 12 \, {\left(4 \, x^{5} + 3 \, x^{4} - 2 \, x^{3} - 5 \, x^{2} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{x^{6} - 3 \, x^{5} + 6 \, x^{4} - 7 \, x^{3} + 6 \, x^{2} - 3 \, x + 1}\right) - 3 \cdot 4^{\frac{1}{3}} {\left(x^{2} - x + 1\right)} \log\left(\frac{9906624 \, {\left(6 \cdot 4^{\frac{1}{3}} {\left(5 \, x^{4} + 4 \, x^{3} - 3 \, x^{2} - 4 \, x + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 4^{\frac{2}{3}} {\left(19 \, x^{6} + 15 \, x^{5} - 12 \, x^{4} - 25 \, x^{3} - 12 \, x^{2} + 15 \, x + 1\right)} - 12 \, {\left(4 \, x^{5} + 3 \, x^{4} - 2 \, x^{3} - 5 \, x^{2} + 1\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{x^{6} - 3 \, x^{5} + 6 \, x^{4} - 7 \, x^{3} + 6 \, x^{2} - 3 \, x + 1}\right) + 3 \cdot 4^{\frac{1}{3}} {\left(x^{2} - x + 1\right)} \log\left(\frac{39626496 \, {\left(6 \cdot 4^{\frac{1}{3}} {\left(x^{4} - 4 \, x^{3} - 3 \, x^{2} + 4 \, x + 5\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 4^{\frac{2}{3}} {\left(x^{6} + 15 \, x^{5} - 12 \, x^{4} - 25 \, x^{3} - 12 \, x^{2} + 15 \, x + 19\right)} + 12 \, {\left(x^{5} - 5 \, x^{3} - 2 \, x^{2} + 3 \, x + 4\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{x^{6} - 3 \, x^{5} + 6 \, x^{4} - 7 \, x^{3} + 6 \, x^{2} - 3 \, x + 1}\right) + 3 \cdot 4^{\frac{1}{3}} {\left(x^{2} - x + 1\right)} \log\left(\frac{9906624 \, {\left(6 \cdot 4^{\frac{1}{3}} {\left(x^{4} - 4 \, x^{3} - 3 \, x^{2} + 4 \, x + 5\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 4^{\frac{2}{3}} {\left(x^{6} + 15 \, x^{5} - 12 \, x^{4} - 25 \, x^{3} - 12 \, x^{2} + 15 \, x + 19\right)} + 12 \, {\left(x^{5} - 5 \, x^{3} - 2 \, x^{2} + 3 \, x + 4\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}\right)}}{x^{6} - 3 \, x^{5} + 6 \, x^{4} - 7 \, x^{3} + 6 \, x^{2} - 3 \, x + 1}\right) - 24 \, {\left(x^{2} - x + 1\right)} \log\left(3 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x^{2} + 3 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x + 1\right) - 72 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{72 \, {\left(x^{2} - x + 1\right)}}"," ",0,"-1/72*(8*4^(1/3)*sqrt(3)*(x^2 - x + 1)*arctan(-1/6*(3822*4^(2/3)*sqrt(3)*(50*x^4 - 74*x^3 - 207*x^2 + 143*x + 19)*(-x^3 + 1)^(2/3) + 7644*4^(1/3)*sqrt(3)*(19*x^5 - 150*x^4 + 43*x^3 + 112*x^2 + 57*x - 50)*(-x^3 + 1)^(1/3) - 7*sqrt(39)*(6*4^(1/3)*sqrt(3)*(1150*x^4 - 3974*x^3 - 1911*x^2 + 1522*x + 3898)*(-x^3 + 1)^(2/3) - 4^(2/3)*sqrt(3)*(1778*x^6 - 6366*x^5 - 8412*x^4 + 17254*x^3 + 15117*x^2 - 4227*x - 16105) + 12*sqrt(3)*(437*x^5 - 1539*x^4 - 333*x^3 - 2074*x^2 + 372*x + 3261)*(-x^3 + 1)^(1/3))*sqrt((6*4^(1/3)*(5*x^4 + 4*x^3 - 3*x^2 - 4*x + 1)*(-x^3 + 1)^(2/3) + 4^(2/3)*(19*x^6 + 15*x^5 - 12*x^4 - 25*x^3 - 12*x^2 + 15*x + 1) - 12*(4*x^5 + 3*x^4 - 2*x^3 - 5*x^2 + 1)*(-x^3 + 1)^(1/3))/(x^6 - 3*x^5 + 6*x^4 - 7*x^3 + 6*x^2 - 3*x + 1)) + 6*sqrt(3)*(29494*x^6 - 17582*x^5 + 153824*x^4 - 266248*x^3 - 129950*x^2 + 238106*x - 29747))/(138718*x^6 - 463746*x^5 - 296508*x^4 - 115072*x^3 + 1093704*x^2 - 70446*x - 256859)) + 8*4^(1/3)*sqrt(3)*(x^2 - x + 1)*arctan(1/6*(3822*4^(2/3)*sqrt(3)*(19*x^4 - 181*x^3 + 36*x^2 + 169*x - 31)*(-x^3 + 1)^(2/3) - 7644*4^(1/3)*sqrt(3)*(31*x^5 + 57*x^4 - 131*x^3 - 119*x^2 + 93*x + 19)*(-x^3 + 1)^(1/3) + 7*sqrt(39)*(6*4^(1/3)*sqrt(3)*(3385*x^4 + 3574*x^3 - 1911*x^2 - 2948*x + 124)*(-x^3 + 1)^(2/3) + 4^(2/3)*sqrt(3)*(13027*x^6 + 16539*x^5 - 8961*x^4 - 32644*x^3 - 2361*x^2 + 17139*x - 239) - 12*sqrt(3)*(2748*x^5 + 3450*x^4 - 4126*x^3 - 2385*x^2 + 1539*x - 76)*(-x^3 + 1)^(1/3))*sqrt((6*4^(1/3)*(x^4 - 4*x^3 - 3*x^2 + 4*x + 5)*(-x^3 + 1)^(2/3) + 4^(2/3)*(x^6 + 15*x^5 - 12*x^4 - 25*x^3 - 12*x^2 + 15*x + 19) + 12*(x^5 - 5*x^3 - 2*x^2 + 3*x + 4)*(-x^3 + 1)^(1/3))/(x^6 - 3*x^5 + 6*x^4 - 7*x^3 + 6*x^2 - 3*x + 1)) + 6*sqrt(3)*(53953*x^6 - 12994*x^5 - 396521*x^4 + 169424*x^3 + 300029*x^2 - 62294*x - 41597))/(52723*x^6 + 682854*x^5 - 325173*x^4 - 1353400*x^3 + 193623*x^2 + 640446*x - 16073)) + 16*4^(1/3)*sqrt(3)*(x^2 - x + 1)*arctan(1/6*(7644*4^(2/3)*sqrt(3)*(5*x^4 - 107*x^3 - 243*x^2 + 26*x + 157)*(-x^3 + 1)^(2/3) - 7644*4^(1/3)*sqrt(3)*(307*x^5 + 300*x^4 - 140*x^3 - 221*x^2 - 186*x - 98)*(-x^3 + 1)^(1/3) + 7*sqrt(39)*4^(1/3)*(6*4^(1/3)*sqrt(3)*(3109*x^4 + 400*x^3 - 3822*x^2 + 1426*x + 3622)*(-x^3 + 1)^(2/3) + 4^(2/3)*sqrt(3)*(15505*x^6 + 11493*x^5 - 22383*x^4 - 22720*x^3 - 5454*x^2 + 13032*x + 10888) - 12*sqrt(3)*(2111*x^5 + 3450*x^4 - 941*x^3 - 1111*x^2 - 372*x - 2624)*(-x^3 + 1)^(1/3)) + 6*sqrt(3)*(307479*x^6 + 239258*x^5 - 543668*x^4 - 607716*x^3 + 19112*x^2 + 232000*x + 343788))/(933353*x^6 + 1472754*x^5 + 285042*x^4 - 1008596*x^3 - 1598208*x^2 - 560184*x + 468980)) + 48*sqrt(3)*(x^2 - x + 1)*arctan((4*sqrt(3)*(-x^3 + 1)^(1/3)*x^2 + 2*sqrt(3)*(-x^3 + 1)^(2/3)*x - sqrt(3)*(x^3 - 1))/(9*x^3 - 1)) - 3*4^(1/3)*(x^2 - x + 1)*log(39626496*(6*4^(1/3)*(5*x^4 + 4*x^3 - 3*x^2 - 4*x + 1)*(-x^3 + 1)^(2/3) + 4^(2/3)*(19*x^6 + 15*x^5 - 12*x^4 - 25*x^3 - 12*x^2 + 15*x + 1) - 12*(4*x^5 + 3*x^4 - 2*x^3 - 5*x^2 + 1)*(-x^3 + 1)^(1/3))/(x^6 - 3*x^5 + 6*x^4 - 7*x^3 + 6*x^2 - 3*x + 1)) - 3*4^(1/3)*(x^2 - x + 1)*log(9906624*(6*4^(1/3)*(5*x^4 + 4*x^3 - 3*x^2 - 4*x + 1)*(-x^3 + 1)^(2/3) + 4^(2/3)*(19*x^6 + 15*x^5 - 12*x^4 - 25*x^3 - 12*x^2 + 15*x + 1) - 12*(4*x^5 + 3*x^4 - 2*x^3 - 5*x^2 + 1)*(-x^3 + 1)^(1/3))/(x^6 - 3*x^5 + 6*x^4 - 7*x^3 + 6*x^2 - 3*x + 1)) + 3*4^(1/3)*(x^2 - x + 1)*log(39626496*(6*4^(1/3)*(x^4 - 4*x^3 - 3*x^2 + 4*x + 5)*(-x^3 + 1)^(2/3) + 4^(2/3)*(x^6 + 15*x^5 - 12*x^4 - 25*x^3 - 12*x^2 + 15*x + 19) + 12*(x^5 - 5*x^3 - 2*x^2 + 3*x + 4)*(-x^3 + 1)^(1/3))/(x^6 - 3*x^5 + 6*x^4 - 7*x^3 + 6*x^2 - 3*x + 1)) + 3*4^(1/3)*(x^2 - x + 1)*log(9906624*(6*4^(1/3)*(x^4 - 4*x^3 - 3*x^2 + 4*x + 5)*(-x^3 + 1)^(2/3) + 4^(2/3)*(x^6 + 15*x^5 - 12*x^4 - 25*x^3 - 12*x^2 + 15*x + 19) + 12*(x^5 - 5*x^3 - 2*x^2 + 3*x + 4)*(-x^3 + 1)^(1/3))/(x^6 - 3*x^5 + 6*x^4 - 7*x^3 + 6*x^2 - 3*x + 1)) - 24*(x^2 - x + 1)*log(3*(-x^3 + 1)^(1/3)*x^2 + 3*(-x^3 + 1)^(2/3)*x + 1) - 72*(-x^3 + 1)^(2/3))/(x^2 - x + 1)","B",0
111,0,0,0,10.043824," ","integrate((-x^3+1)^(2/3)/(1+x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x + 1}, x\right)"," ",0,"integral((-x^3 + 1)^(2/3)/(x + 1), x)","F",0
112,0,0,0,10.430981," ","integrate((x^2-x+1)*(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x + 1}, x\right)"," ",0,"integral((-x^3 + 1)^(2/3)/(x + 1), x)","F",0
113,1,191,0,1.350663," ","integrate((-x^3+1)^(2/3)/(x^3+1),x, algorithm=""fricas"")","-\frac{1}{3} \cdot 4^{\frac{1}{3}} \sqrt{3} \arctan\left(-\frac{\sqrt{3} x - 4^{\frac{1}{3}} \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{3} \, \sqrt{3} \arctan\left(-\frac{\sqrt{3} x - 2 \, \sqrt{3} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{3 \, x}\right) + \frac{1}{3} \cdot 4^{\frac{1}{3}} \log\left(\frac{4^{\frac{2}{3}} x + 2 \, {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x}\right) - \frac{1}{6} \cdot 4^{\frac{1}{3}} \log\left(\frac{2 \cdot 4^{\frac{1}{3}} x^{2} - 4^{\frac{2}{3}} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x + 2 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}}\right) - \frac{1}{3} \, \log\left(\frac{x + {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x}\right) + \frac{1}{6} \, \log\left(\frac{x^{2} - {\left(-x^{3} + 1\right)}^{\frac{1}{3}} x + {\left(-x^{3} + 1\right)}^{\frac{2}{3}}}{x^{2}}\right)"," ",0,"-1/3*4^(1/3)*sqrt(3)*arctan(-1/3*(sqrt(3)*x - 4^(1/3)*sqrt(3)*(-x^3 + 1)^(1/3))/x) + 1/3*sqrt(3)*arctan(-1/3*(sqrt(3)*x - 2*sqrt(3)*(-x^3 + 1)^(1/3))/x) + 1/3*4^(1/3)*log((4^(2/3)*x + 2*(-x^3 + 1)^(1/3))/x) - 1/6*4^(1/3)*log((2*4^(1/3)*x^2 - 4^(2/3)*(-x^3 + 1)^(1/3)*x + 2*(-x^3 + 1)^(2/3))/x^2) - 1/3*log((x + (-x^3 + 1)^(1/3))/x) + 1/6*log((x^2 - (-x^3 + 1)^(1/3)*x + (-x^3 + 1)^(2/3))/x^2)","A",0
114,0,0,0,9.265121," ","integrate(x*(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}} x}{x^{3} + 1}, x\right)"," ",0,"integral((-x^3 + 1)^(2/3)*x/(x^3 + 1), x)","F",0
115,0,0,0,27.953449," ","integrate((1-x)*(-x^3+1)^(2/3)/(x^3+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(-x^{3} + 1\right)}^{\frac{2}{3}} {\left(x - 1\right)}}{x^{3} + 1}, x\right)"," ",0,"integral(-(-x^3 + 1)^(2/3)*(x - 1)/(x^3 + 1), x)","F",0
116,1,341,0,9.202260," ","integrate((-x^3+1)^(1/3)/(x^3+1),x, algorithm=""fricas"")","\frac{1}{18} \, \sqrt{3} 2^{\frac{1}{3}} \arctan\left(-\frac{6 \, \sqrt{3} 2^{\frac{2}{3}} {\left(x^{16} - 33 \, x^{13} + 110 \, x^{10} - 110 \, x^{7} + 33 \, x^{4} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}} - 24 \, \sqrt{3} 2^{\frac{1}{3}} {\left(x^{14} - 2 \, x^{11} - 6 \, x^{8} - 2 \, x^{5} + x^{2}\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} - \sqrt{3} {\left(x^{18} + 42 \, x^{15} - 417 \, x^{12} + 812 \, x^{9} - 417 \, x^{6} + 42 \, x^{3} + 1\right)}}{3 \, {\left(x^{18} - 102 \, x^{15} + 447 \, x^{12} - 628 \, x^{9} + 447 \, x^{6} - 102 \, x^{3} + 1\right)}}\right) + \frac{1}{18} \cdot 2^{\frac{1}{3}} \log\left(-\frac{12 \, {\left(-x^{3} + 1\right)}^{\frac{2}{3}} x^{2} + 2^{\frac{2}{3}} {\left(x^{6} + 2 \, x^{3} + 1\right)} - 6 \cdot 2^{\frac{1}{3}} {\left(x^{4} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{6} + 2 \, x^{3} + 1}\right) - \frac{1}{36} \cdot 2^{\frac{1}{3}} \log\left(\frac{12 \cdot 2^{\frac{2}{3}} {\left(x^{8} - 4 \, x^{5} + x^{2}\right)} {\left(-x^{3} + 1\right)}^{\frac{2}{3}} + 2^{\frac{1}{3}} {\left(x^{12} - 32 \, x^{9} + 78 \, x^{6} - 32 \, x^{3} + 1\right)} + 6 \, {\left(x^{10} - 11 \, x^{7} + 11 \, x^{4} - x\right)} {\left(-x^{3} + 1\right)}^{\frac{1}{3}}}{x^{12} + 4 \, x^{9} + 6 \, x^{6} + 4 \, x^{3} + 1}\right)"," ",0,"1/18*sqrt(3)*2^(1/3)*arctan(-1/3*(6*sqrt(3)*2^(2/3)*(x^16 - 33*x^13 + 110*x^10 - 110*x^7 + 33*x^4 - x)*(-x^3 + 1)^(1/3) - 24*sqrt(3)*2^(1/3)*(x^14 - 2*x^11 - 6*x^8 - 2*x^5 + x^2)*(-x^3 + 1)^(2/3) - sqrt(3)*(x^18 + 42*x^15 - 417*x^12 + 812*x^9 - 417*x^6 + 42*x^3 + 1))/(x^18 - 102*x^15 + 447*x^12 - 628*x^9 + 447*x^6 - 102*x^3 + 1)) + 1/18*2^(1/3)*log(-(12*(-x^3 + 1)^(2/3)*x^2 + 2^(2/3)*(x^6 + 2*x^3 + 1) - 6*2^(1/3)*(x^4 - x)*(-x^3 + 1)^(1/3))/(x^6 + 2*x^3 + 1)) - 1/36*2^(1/3)*log((12*2^(2/3)*(x^8 - 4*x^5 + x^2)*(-x^3 + 1)^(2/3) + 2^(1/3)*(x^12 - 32*x^9 + 78*x^6 - 32*x^3 + 1) + 6*(x^10 - 11*x^7 + 11*x^4 - x)*(-x^3 + 1)^(1/3))/(x^12 + 4*x^9 + 6*x^6 + 4*x^3 + 1))","A",0
