1,1,19,25,0.032065,"\text{Not used}","int(x^2*(a*x^2 + b*x^3 + c*x^4),x)","\frac{x^5\,\left(30\,c\,x^2+35\,b\,x+42\,a\right)}{210}","Not used",1,"(x^5*(42*a + 35*b*x + 30*c*x^2))/210","B"
2,1,19,25,0.031703,"\text{Not used}","int(x*(a*x^2 + b*x^3 + c*x^4),x)","\frac{x^4\,\left(10\,c\,x^2+12\,b\,x+15\,a\right)}{60}","Not used",1,"(x^4*(15*a + 12*b*x + 10*c*x^2))/60","B"
3,1,19,25,0.031712,"\text{Not used}","int(a*x^2 + b*x^3 + c*x^4,x)","\frac{x^3\,\left(12\,c\,x^2+15\,b\,x+20\,a\right)}{60}","Not used",1,"(x^3*(20*a + 15*b*x + 12*c*x^2))/60","B"
4,1,19,25,0.030650,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)/x,x)","\frac{x^2\,\left(3\,c\,x^2+4\,b\,x+6\,a\right)}{12}","Not used",1,"(x^2*(6*a + 4*b*x + 3*c*x^2))/12","B"
5,1,16,20,0.025262,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)/x^2,x)","\frac{c\,x^3}{3}+\frac{b\,x^2}{2}+a\,x","Not used",1,"a*x + (b*x^2)/2 + (c*x^3)/3","B"
6,1,45,54,0.034448,"\text{Not used}","int(x^2*(a*x^2 + b*x^3 + c*x^4)^2,x)","x^9\,\left(\frac{b^2}{9}+\frac{2\,a\,c}{9}\right)+\frac{a^2\,x^7}{7}+\frac{c^2\,x^{11}}{11}+\frac{a\,b\,x^8}{4}+\frac{b\,c\,x^{10}}{5}","Not used",1,"x^9*((2*a*c)/9 + b^2/9) + (a^2*x^7)/7 + (c^2*x^11)/11 + (a*b*x^8)/4 + (b*c*x^10)/5","B"
7,1,45,54,0.023910,"\text{Not used}","int(x*(a*x^2 + b*x^3 + c*x^4)^2,x)","x^8\,\left(\frac{b^2}{8}+\frac{a\,c}{4}\right)+\frac{a^2\,x^6}{6}+\frac{c^2\,x^{10}}{10}+\frac{2\,a\,b\,x^7}{7}+\frac{2\,b\,c\,x^9}{9}","Not used",1,"x^8*((a*c)/4 + b^2/8) + (a^2*x^6)/6 + (c^2*x^10)/10 + (2*a*b*x^7)/7 + (2*b*c*x^9)/9","B"
8,1,45,54,0.022158,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^2,x)","x^7\,\left(\frac{b^2}{7}+\frac{2\,a\,c}{7}\right)+\frac{a^2\,x^5}{5}+\frac{c^2\,x^9}{9}+\frac{a\,b\,x^6}{3}+\frac{b\,c\,x^8}{4}","Not used",1,"x^7*((2*a*c)/7 + b^2/7) + (a^2*x^5)/5 + (c^2*x^9)/9 + (a*b*x^6)/3 + (b*c*x^8)/4","B"
9,1,45,54,0.024695,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^2/x,x)","x^6\,\left(\frac{b^2}{6}+\frac{a\,c}{3}\right)+\frac{a^2\,x^4}{4}+\frac{c^2\,x^8}{8}+\frac{2\,a\,b\,x^5}{5}+\frac{2\,b\,c\,x^7}{7}","Not used",1,"x^6*((a*c)/3 + b^2/6) + (a^2*x^4)/4 + (c^2*x^8)/8 + (2*a*b*x^5)/5 + (2*b*c*x^7)/7","B"
10,1,45,54,0.023858,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^2/x^2,x)","x^5\,\left(\frac{b^2}{5}+\frac{2\,a\,c}{5}\right)+\frac{a^2\,x^3}{3}+\frac{c^2\,x^7}{7}+\frac{a\,b\,x^4}{2}+\frac{b\,c\,x^6}{3}","Not used",1,"x^5*((2*a*c)/5 + b^2/5) + (a^2*x^3)/3 + (c^2*x^7)/7 + (a*b*x^4)/2 + (b*c*x^6)/3","B"
11,1,112,89,0.141402,"\text{Not used}","int(x^5/(a*x^2 + b*x^3 + c*x^4),x)","\frac{x^2}{2\,c}-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(4\,a^2\,c^2-5\,a\,b^2\,c+b^4\right)}{2\,\left(4\,a\,c^4-b^2\,c^3\right)}-\frac{b\,x}{c^2}+\frac{b\,\mathrm{atan}\left(\frac{b+2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(3\,a\,c-b^2\right)}{c^3\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x^2/(2*c) - (log(a + b*x + c*x^2)*(b^4 + 4*a^2*c^2 - 5*a*b^2*c))/(2*(4*a*c^4 - b^2*c^3)) - (b*x)/c^2 + (b*atan((b + 2*c*x)/(4*a*c - b^2)^(1/2))*(3*a*c - b^2))/(c^3*(4*a*c - b^2)^(1/2))","B"
12,1,172,70,2.032626,"\text{Not used}","int(x^4/(a*x^2 + b*x^3 + c*x^4),x)","\frac{x}{c}+\frac{b^3\,\ln\left(c\,x^2+b\,x+a\right)}{2\,\left(4\,a\,c^3-b^2\,c^2\right)}-\frac{2\,a\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{c\,\sqrt{4\,a\,c-b^2}}+\frac{b^2\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{c^2\,\sqrt{4\,a\,c-b^2}}-\frac{2\,a\,b\,c\,\ln\left(c\,x^2+b\,x+a\right)}{4\,a\,c^3-b^2\,c^2}","Not used",1,"x/c + (b^3*log(a + b*x + c*x^2))/(2*(4*a*c^3 - b^2*c^2)) - (2*a*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(c*(4*a*c - b^2)^(1/2)) + (b^2*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(c^2*(4*a*c - b^2)^(1/2)) - (2*a*b*c*log(a + b*x + c*x^2))/(4*a*c^3 - b^2*c^2)","B"
13,1,112,56,0.132902,"\text{Not used}","int(x^3/(a*x^2 + b*x^3 + c*x^4),x)","\frac{2\,a\,c\,\ln\left(c\,x^2+b\,x+a\right)}{4\,a\,c^2-b^2\,c}-\frac{b\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{c\,\sqrt{4\,a\,c-b^2}}-\frac{b^2\,\ln\left(c\,x^2+b\,x+a\right)}{2\,\left(4\,a\,c^2-b^2\,c\right)}","Not used",1,"(2*a*c*log(a + b*x + c*x^2))/(4*a*c^2 - b^2*c) - (b*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(c*(4*a*c - b^2)^(1/2)) - (b^2*log(a + b*x + c*x^2))/(2*(4*a*c^2 - b^2*c))","B"
14,1,46,34,0.034501,"\text{Not used}","int(x^2/(a*x^2 + b*x^3 + c*x^4),x)","\frac{2\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{\sqrt{4\,a\,c-b^2}}","Not used",1,"(2*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(4*a*c - b^2)^(1/2)","B"
15,1,213,62,2.297636,"\text{Not used}","int(x/(a*x^2 + b*x^3 + c*x^4),x)","\frac{\ln\left(x\right)}{a}-\ln\left(b\,c-\left(x\,\left(6\,a\,c^2-2\,b^2\,c\right)-a\,b\,c\right)\,\left(\frac{1}{2\,a}-\frac{b\,\sqrt{b^2-4\,a\,c}}{2\,\left(a\,b^2-4\,a^2\,c\right)}\right)+3\,c^2\,x\right)\,\left(\frac{1}{2\,a}-\frac{b\,\sqrt{b^2-4\,a\,c}}{2\,\left(a\,b^2-4\,a^2\,c\right)}\right)-\ln\left(\left(x\,\left(6\,a\,c^2-2\,b^2\,c\right)-a\,b\,c\right)\,\left(\frac{1}{2\,a}+\frac{b\,\sqrt{b^2-4\,a\,c}}{2\,\left(a\,b^2-4\,a^2\,c\right)}\right)-b\,c-3\,c^2\,x\right)\,\left(\frac{1}{2\,a}+\frac{b\,\sqrt{b^2-4\,a\,c}}{2\,\left(a\,b^2-4\,a^2\,c\right)}\right)","Not used",1,"log(x)/a - log(b*c - (x*(6*a*c^2 - 2*b^2*c) - a*b*c)*(1/(2*a) - (b*(b^2 - 4*a*c)^(1/2))/(2*(a*b^2 - 4*a^2*c))) + 3*c^2*x)*(1/(2*a) - (b*(b^2 - 4*a*c)^(1/2))/(2*(a*b^2 - 4*a^2*c))) - log((x*(6*a*c^2 - 2*b^2*c) - a*b*c)*(1/(2*a) + (b*(b^2 - 4*a*c)^(1/2))/(2*(a*b^2 - 4*a^2*c))) - b*c - 3*c^2*x)*(1/(2*a) + (b*(b^2 - 4*a*c)^(1/2))/(2*(a*b^2 - 4*a^2*c)))","B"
16,1,339,81,2.503615,"\text{Not used}","int(1/(a*x^2 + b*x^3 + c*x^4),x)","\frac{\ln\left(2\,a\,b^3+2\,b^4\,x-2\,a\,b^2\,\sqrt{b^2-4\,a\,c}+a^2\,c\,\sqrt{b^2-4\,a\,c}-2\,b^3\,x\,\sqrt{b^2-4\,a\,c}+2\,a^2\,c^2\,x-7\,a^2\,b\,c-8\,a\,b^2\,c\,x+4\,a\,b\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(a\,\left(2\,b\,c-c\,\sqrt{b^2-4\,a\,c}\right)-\frac{b^3}{2}+\frac{b^2\,\sqrt{b^2-4\,a\,c}}{2}\right)}{4\,a^3\,c-a^2\,b^2}-\frac{1}{a\,x}-\frac{\ln\left(2\,a\,b^3+2\,b^4\,x+2\,a\,b^2\,\sqrt{b^2-4\,a\,c}-a^2\,c\,\sqrt{b^2-4\,a\,c}+2\,b^3\,x\,\sqrt{b^2-4\,a\,c}+2\,a^2\,c^2\,x-7\,a^2\,b\,c-8\,a\,b^2\,c\,x-4\,a\,b\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^3}{2}-a\,\left(2\,b\,c+c\,\sqrt{b^2-4\,a\,c}\right)+\frac{b^2\,\sqrt{b^2-4\,a\,c}}{2}\right)}{4\,a^3\,c-a^2\,b^2}-\frac{b\,\ln\left(x\right)}{a^2}","Not used",1,"(log(2*a*b^3 + 2*b^4*x - 2*a*b^2*(b^2 - 4*a*c)^(1/2) + a^2*c*(b^2 - 4*a*c)^(1/2) - 2*b^3*x*(b^2 - 4*a*c)^(1/2) + 2*a^2*c^2*x - 7*a^2*b*c - 8*a*b^2*c*x + 4*a*b*c*x*(b^2 - 4*a*c)^(1/2))*(a*(2*b*c - c*(b^2 - 4*a*c)^(1/2)) - b^3/2 + (b^2*(b^2 - 4*a*c)^(1/2))/2))/(4*a^3*c - a^2*b^2) - 1/(a*x) - (log(2*a*b^3 + 2*b^4*x + 2*a*b^2*(b^2 - 4*a*c)^(1/2) - a^2*c*(b^2 - 4*a*c)^(1/2) + 2*b^3*x*(b^2 - 4*a*c)^(1/2) + 2*a^2*c^2*x - 7*a^2*b*c - 8*a*b^2*c*x - 4*a*b*c*x*(b^2 - 4*a*c)^(1/2))*(b^3/2 - a*(2*b*c + c*(b^2 - 4*a*c)^(1/2)) + (b^2*(b^2 - 4*a*c)^(1/2))/2))/(4*a^3*c - a^2*b^2) - (b*log(x))/a^2","B"
17,1,447,104,0.586695,"\text{Not used}","int(1/(x*(a*x^2 + b*x^3 + c*x^4)),x)","\frac{\ln\left(2\,a\,b^4+2\,b^5\,x+6\,a^3\,c^2+2\,a\,b^3\,\sqrt{b^2-4\,a\,c}+2\,b^4\,x\,\sqrt{b^2-4\,a\,c}-9\,a^2\,b^2\,c-10\,a\,b^3\,c\,x-3\,a^2\,b\,c\,\sqrt{b^2-4\,a\,c}+9\,a^2\,b\,c^2\,x+3\,a^2\,c^2\,x\,\sqrt{b^2-4\,a\,c}-6\,a\,b^2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^4}{2}-a\,\left(\frac{5\,b^2\,c}{2}+\frac{3\,b\,c\,\sqrt{b^2-4\,a\,c}}{2}\right)+\frac{b^3\,\sqrt{b^2-4\,a\,c}}{2}+2\,a^2\,c^2\right)}{4\,a^4\,c-a^3\,b^2}-\frac{\ln\left(2\,a\,b^4+2\,b^5\,x+6\,a^3\,c^2-2\,a\,b^3\,\sqrt{b^2-4\,a\,c}-2\,b^4\,x\,\sqrt{b^2-4\,a\,c}-9\,a^2\,b^2\,c-10\,a\,b^3\,c\,x+3\,a^2\,b\,c\,\sqrt{b^2-4\,a\,c}+9\,a^2\,b\,c^2\,x-3\,a^2\,c^2\,x\,\sqrt{b^2-4\,a\,c}+6\,a\,b^2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(a\,\left(\frac{5\,b^2\,c}{2}-\frac{3\,b\,c\,\sqrt{b^2-4\,a\,c}}{2}\right)-\frac{b^4}{2}+\frac{b^3\,\sqrt{b^2-4\,a\,c}}{2}-2\,a^2\,c^2\right)}{4\,a^4\,c-a^3\,b^2}-\frac{\frac{1}{2\,a}-\frac{b\,x}{a^2}}{x^2}-\frac{\ln\left(x\right)\,\left(a\,c-b^2\right)}{a^3}","Not used",1,"(log(2*a*b^4 + 2*b^5*x + 6*a^3*c^2 + 2*a*b^3*(b^2 - 4*a*c)^(1/2) + 2*b^4*x*(b^2 - 4*a*c)^(1/2) - 9*a^2*b^2*c - 10*a*b^3*c*x - 3*a^2*b*c*(b^2 - 4*a*c)^(1/2) + 9*a^2*b*c^2*x + 3*a^2*c^2*x*(b^2 - 4*a*c)^(1/2) - 6*a*b^2*c*x*(b^2 - 4*a*c)^(1/2))*(b^4/2 - a*((5*b^2*c)/2 + (3*b*c*(b^2 - 4*a*c)^(1/2))/2) + (b^3*(b^2 - 4*a*c)^(1/2))/2 + 2*a^2*c^2))/(4*a^4*c - a^3*b^2) - (log(2*a*b^4 + 2*b^5*x + 6*a^3*c^2 - 2*a*b^3*(b^2 - 4*a*c)^(1/2) - 2*b^4*x*(b^2 - 4*a*c)^(1/2) - 9*a^2*b^2*c - 10*a*b^3*c*x + 3*a^2*b*c*(b^2 - 4*a*c)^(1/2) + 9*a^2*b*c^2*x - 3*a^2*c^2*x*(b^2 - 4*a*c)^(1/2) + 6*a*b^2*c*x*(b^2 - 4*a*c)^(1/2))*(a*((5*b^2*c)/2 - (3*b*c*(b^2 - 4*a*c)^(1/2))/2) - b^4/2 + (b^3*(b^2 - 4*a*c)^(1/2))/2 - 2*a^2*c^2))/(4*a^4*c - a^3*b^2) - (1/(2*a) - (b*x)/a^2)/x^2 - (log(x)*(a*c - b^2))/a^3","B"
18,1,524,137,2.595532,"\text{Not used}","int(1/(x^2*(a*x^2 + b*x^3 + c*x^4)),x)","\ln\left(2\,a\,b^4\,\sqrt{b^2-4\,a\,c}-2\,b^6\,x-2\,a\,b^5+2\,b^5\,x\,\sqrt{b^2-4\,a\,c}+11\,a^2\,b^3\,c-13\,a^3\,b\,c^2+2\,a^3\,c^3\,x+a^3\,c^2\,\sqrt{b^2-4\,a\,c}-17\,a^2\,b^2\,c^2\,x+12\,a\,b^4\,c\,x-5\,a^2\,b^2\,c\,\sqrt{b^2-4\,a\,c}-8\,a\,b^3\,c\,x\,\sqrt{b^2-4\,a\,c}+7\,a^2\,b\,c^2\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^3}{2\,a^4}-\frac{b^2\,\sqrt{b^2-4\,a\,c}}{2\,a^4}-\frac{b\,c}{a^3}+\frac{a^2\,c^2\,\sqrt{b^2-4\,a\,c}}{4\,a^5\,c-a^4\,b^2}\right)+\ln\left(2\,a\,b^5+2\,b^6\,x+2\,a\,b^4\,\sqrt{b^2-4\,a\,c}+2\,b^5\,x\,\sqrt{b^2-4\,a\,c}-11\,a^2\,b^3\,c+13\,a^3\,b\,c^2-2\,a^3\,c^3\,x+a^3\,c^2\,\sqrt{b^2-4\,a\,c}+17\,a^2\,b^2\,c^2\,x-12\,a\,b^4\,c\,x-5\,a^2\,b^2\,c\,\sqrt{b^2-4\,a\,c}-8\,a\,b^3\,c\,x\,\sqrt{b^2-4\,a\,c}+7\,a^2\,b\,c^2\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^3}{2\,a^4}+\frac{b^2\,\sqrt{b^2-4\,a\,c}}{2\,a^4}-\frac{b\,c}{a^3}-\frac{a^2\,c^2\,\sqrt{b^2-4\,a\,c}}{4\,a^5\,c-a^4\,b^2}\right)+\frac{\frac{x^2\,\left(a\,c-b^2\right)}{a^3}-\frac{1}{3\,a}+\frac{b\,x}{2\,a^2}}{x^3}+\frac{b\,\ln\left(x\right)\,\left(2\,a\,c-b^2\right)}{a^4}","Not used",1,"log(2*a*b^4*(b^2 - 4*a*c)^(1/2) - 2*b^6*x - 2*a*b^5 + 2*b^5*x*(b^2 - 4*a*c)^(1/2) + 11*a^2*b^3*c - 13*a^3*b*c^2 + 2*a^3*c^3*x + a^3*c^2*(b^2 - 4*a*c)^(1/2) - 17*a^2*b^2*c^2*x + 12*a*b^4*c*x - 5*a^2*b^2*c*(b^2 - 4*a*c)^(1/2) - 8*a*b^3*c*x*(b^2 - 4*a*c)^(1/2) + 7*a^2*b*c^2*x*(b^2 - 4*a*c)^(1/2))*(b^3/(2*a^4) - (b^2*(b^2 - 4*a*c)^(1/2))/(2*a^4) - (b*c)/a^3 + (a^2*c^2*(b^2 - 4*a*c)^(1/2))/(4*a^5*c - a^4*b^2)) + log(2*a*b^5 + 2*b^6*x + 2*a*b^4*(b^2 - 4*a*c)^(1/2) + 2*b^5*x*(b^2 - 4*a*c)^(1/2) - 11*a^2*b^3*c + 13*a^3*b*c^2 - 2*a^3*c^3*x + a^3*c^2*(b^2 - 4*a*c)^(1/2) + 17*a^2*b^2*c^2*x - 12*a*b^4*c*x - 5*a^2*b^2*c*(b^2 - 4*a*c)^(1/2) - 8*a*b^3*c*x*(b^2 - 4*a*c)^(1/2) + 7*a^2*b*c^2*x*(b^2 - 4*a*c)^(1/2))*(b^3/(2*a^4) + (b^2*(b^2 - 4*a*c)^(1/2))/(2*a^4) - (b*c)/a^3 - (a^2*c^2*(b^2 - 4*a*c)^(1/2))/(4*a^5*c - a^4*b^2)) + ((x^2*(a*c - b^2))/a^3 - 1/(3*a) + (b*x)/(2*a^2))/x^3 + (b*log(x)*(2*a*c - b^2))/a^4","B"
19,1,261,150,2.455602,"\text{Not used}","int(x^8/(a*x^2 + b*x^3 + c*x^4)^2,x)","\frac{x}{c^2}+\frac{\frac{a\,\left(b^3-3\,a\,b\,c\right)}{c\,\left(4\,a\,c-b^2\right)}+\frac{x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c\,\left(4\,a\,c-b^2\right)}}{c^3\,x^2+b\,c^2\,x+a\,c^2}+\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-128\,a^3\,b\,c^3+96\,a^2\,b^3\,c^2-24\,a\,b^5\,c+2\,b^7\right)}{2\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}-\frac{2\,\mathrm{atan}\left(\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}-\frac{b^3\,c^2-4\,a\,b\,c^3}{c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"x/c^2 + ((a*(b^3 - 3*a*b*c))/(c*(4*a*c - b^2)) + (x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/(c*(4*a*c - b^2)))/(a*c^2 + c^3*x^2 + b*c^2*x) + (log(a + b*x + c*x^2)*(2*b^7 - 128*a^3*b*c^3 + 96*a^2*b^3*c^2 - 24*a*b^5*c))/(2*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) - (2*atan((2*c*x)/(4*a*c - b^2)^(1/2) - (b^3*c^2 - 4*a*b*c^3)/(c^2*(4*a*c - b^2)^(3/2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(c^3*(4*a*c - b^2)^(3/2))","B"
20,1,279,114,2.491012,"\text{Not used}","int(x^7/(a*x^2 + b*x^3 + c*x^4)^2,x)","\frac{\frac{a\,\left(2\,a\,c-b^2\right)}{c^2\,\left(4\,a\,c-b^2\right)}+\frac{b\,x\,\left(3\,a\,c-b^2\right)}{c^2\,\left(4\,a\,c-b^2\right)}}{c\,x^2+b\,x+a}-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}{2\,\left(64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2\right)}+\frac{b\,\mathrm{atan}\left(\frac{c^2\,{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(\frac{2\,b\,x\,\left(6\,a\,c-b^2\right)}{c\,{\left(4\,a\,c-b^2\right)}^3}+\frac{b^2\,\left(4\,a\,c^2-b^2\,c\right)\,\left(6\,a\,c-b^2\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^4}\right)}{b^3-6\,a\,b\,c}\right)\,\left(6\,a\,c-b^2\right)}{c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((a*(2*a*c - b^2))/(c^2*(4*a*c - b^2)) + (b*x*(3*a*c - b^2))/(c^2*(4*a*c - b^2)))/(a + b*x + c*x^2) - (log(a + b*x + c*x^2)*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c))/(2*(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4)) + (b*atan((c^2*(4*a*c - b^2)^(5/2)*((2*b*x*(6*a*c - b^2))/(c*(4*a*c - b^2)^3) + (b^2*(4*a*c^2 - b^2*c)*(6*a*c - b^2))/(c^3*(4*a*c - b^2)^4)))/(b^3 - 6*a*b*c))*(6*a*c - b^2))/(c^2*(4*a*c - b^2)^(3/2))","B"
21,1,135,67,2.129000,"\text{Not used}","int(x^6/(a*x^2 + b*x^3 + c*x^4)^2,x)","-\frac{\frac{x\,\left(2\,a\,c-b^2\right)}{c\,\left(4\,a\,c-b^2\right)}-\frac{a\,b}{c\,\left(4\,a\,c-b^2\right)}}{c\,x^2+b\,x+a}-\frac{4\,a\,\mathrm{atan}\left(\frac{\left(\frac{2\,a\,\left(b^3-4\,a\,b\,c\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{4\,a\,c\,x}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(4\,a\,c-b^2\right)}{2\,a}\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"- ((x*(2*a*c - b^2))/(c*(4*a*c - b^2)) - (a*b)/(c*(4*a*c - b^2)))/(a + b*x + c*x^2) - (4*a*atan((((2*a*(b^3 - 4*a*b*c))/(4*a*c - b^2)^(5/2) - (4*a*c*x)/(4*a*c - b^2)^(3/2))*(4*a*c - b^2))/(2*a)))/(4*a*c - b^2)^(3/2)","B"
22,1,110,66,2.183412,"\text{Not used}","int(x^5/(a*x^2 + b*x^3 + c*x^4)^2,x)","-\frac{\frac{2\,a}{4\,a\,c-b^2}+\frac{b\,x}{4\,a\,c-b^2}}{c\,x^2+b\,x+a}-\frac{2\,b\,\mathrm{atan}\left(\frac{\left(\frac{b^2}{{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{2\,b\,c\,x}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(4\,a\,c-b^2\right)}{b}\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"- ((2*a)/(4*a*c - b^2) + (b*x)/(4*a*c - b^2))/(a + b*x + c*x^2) - (2*b*atan(((b^2/(4*a*c - b^2)^(3/2) + (2*b*c*x)/(4*a*c - b^2)^(3/2))*(4*a*c - b^2))/b))/(4*a*c - b^2)^(3/2)","B"
23,1,119,66,0.084389,"\text{Not used}","int(x^4/(a*x^2 + b*x^3 + c*x^4)^2,x)","\frac{\frac{b}{4\,a\,c-b^2}+\frac{2\,c\,x}{4\,a\,c-b^2}}{c\,x^2+b\,x+a}-\frac{4\,c\,\mathrm{atan}\left(\frac{\left(\frac{2\,c\,\left(b^3-4\,a\,b\,c\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{4\,c^2\,x}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(4\,a\,c-b^2\right)}{2\,c}\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"(b/(4*a*c - b^2) + (2*c*x)/(4*a*c - b^2))/(a + b*x + c*x^2) - (4*c*atan((((2*c*(b^3 - 4*a*b*c))/(4*a*c - b^2)^(5/2) - (4*c^2*x)/(4*a*c - b^2)^(3/2))*(4*a*c - b^2))/(2*c)))/(4*a*c - b^2)^(3/2)","B"
24,1,620,108,2.871388,"\text{Not used}","int(x^3/(a*x^2 + b*x^3 + c*x^4)^2,x)","\frac{\ln\left(x\right)}{a^2}+\frac{\frac{2\,a\,c-b^2}{a\,\left(4\,a\,c-b^2\right)}-\frac{b\,c\,x}{a\,\left(4\,a\,c-b^2\right)}}{c\,x^2+b\,x+a}+\frac{\ln\left(2\,a\,b^6+2\,b^7\,x-96\,a^4\,c^3+2\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-23\,a^2\,b^4\,c+2\,b^4\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+84\,a^3\,b^2\,c^2+94\,a^2\,b^3\,c^2\,x+12\,a^2\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-24\,a\,b^5\,c\,x-9\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-120\,a^3\,b\,c^3\,x-12\,a\,b^2\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(b^6-64\,a^3\,c^3+b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c-6\,a\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,a^2\,{\left(4\,a\,c-b^2\right)}^3}+\frac{\ln\left(96\,a^4\,c^3-2\,b^7\,x-2\,a\,b^6+2\,a\,b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+23\,a^2\,b^4\,c+2\,b^4\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-84\,a^3\,b^2\,c^2-94\,a^2\,b^3\,c^2\,x+12\,a^2\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,a\,b^5\,c\,x-9\,a^2\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+120\,a^3\,b\,c^3\,x-12\,a\,b^2\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(b^6-64\,a^3\,c^3-b^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+6\,a\,b\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,a^2\,{\left(4\,a\,c-b^2\right)}^3}","Not used",1,"log(x)/a^2 + ((2*a*c - b^2)/(a*(4*a*c - b^2)) - (b*c*x)/(a*(4*a*c - b^2)))/(a + b*x + c*x^2) + (log(2*a*b^6 + 2*b^7*x - 96*a^4*c^3 + 2*a*b^3*(-(4*a*c - b^2)^3)^(1/2) - 23*a^2*b^4*c + 2*b^4*x*(-(4*a*c - b^2)^3)^(1/2) + 84*a^3*b^2*c^2 + 94*a^2*b^3*c^2*x + 12*a^2*c^2*x*(-(4*a*c - b^2)^3)^(1/2) - 24*a*b^5*c*x - 9*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2) - 120*a^3*b*c^3*x - 12*a*b^2*c*x*(-(4*a*c - b^2)^3)^(1/2))*(b^6 - 64*a^3*c^3 + b^3*(-(4*a*c - b^2)^3)^(1/2) + 48*a^2*b^2*c^2 - 12*a*b^4*c - 6*a*b*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*a^2*(4*a*c - b^2)^3) + (log(96*a^4*c^3 - 2*b^7*x - 2*a*b^6 + 2*a*b^3*(-(4*a*c - b^2)^3)^(1/2) + 23*a^2*b^4*c + 2*b^4*x*(-(4*a*c - b^2)^3)^(1/2) - 84*a^3*b^2*c^2 - 94*a^2*b^3*c^2*x + 12*a^2*c^2*x*(-(4*a*c - b^2)^3)^(1/2) + 24*a*b^5*c*x - 9*a^2*b*c*(-(4*a*c - b^2)^3)^(1/2) + 120*a^3*b*c^3*x - 12*a*b^2*c*x*(-(4*a*c - b^2)^3)^(1/2))*(b^6 - 64*a^3*c^3 - b^3*(-(4*a*c - b^2)^3)^(1/2) + 48*a^2*b^2*c^2 - 12*a*b^4*c + 6*a*b*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*a^2*(4*a*c - b^2)^3)","B"
25,1,775,148,2.832644,"\text{Not used}","int(x^2/(a*x^2 + b*x^3 + c*x^4)^2,x)","\ln\left(2\,a\,b^7+2\,b^8\,x+2\,a\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-23\,a^2\,b^5\,c-108\,a^4\,b\,c^3+24\,a^4\,c^4\,x+2\,b^5\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+87\,a^3\,b^3\,c^2+3\,a^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a^2\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+97\,a^2\,b^4\,c^2\,x-138\,a^3\,b^2\,c^3\,x-24\,a\,b^6\,c\,x-12\,a\,b^3\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+15\,a^2\,b\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}+\frac{b}{a^3}\right)-\frac{\frac{1}{a}-\frac{x\,\left(2\,b^3-7\,a\,b\,c\right)}{a^2\,\left(4\,a\,c-b^2\right)}+\frac{2\,c\,x^2\,\left(3\,a\,c-b^2\right)}{a^2\,\left(4\,a\,c-b^2\right)}}{c\,x^3+b\,x^2+a\,x}-\ln\left(2\,a\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-2\,b^8\,x-2\,a\,b^7+23\,a^2\,b^5\,c+108\,a^4\,b\,c^3-24\,a^4\,c^4\,x+2\,b^5\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-87\,a^3\,b^3\,c^2+3\,a^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a^2\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-97\,a^2\,b^4\,c^2\,x+138\,a^3\,b^2\,c^3\,x+24\,a\,b^6\,c\,x-12\,a\,b^3\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+15\,a^2\,b\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+6\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-6\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{b}{a^3}\right)-\frac{2\,b\,\ln\left(x\right)}{a^3}","Not used",1,"log(2*a*b^7 + 2*b^8*x + 2*a*b^4*(-(4*a*c - b^2)^3)^(1/2) - 23*a^2*b^5*c - 108*a^4*b*c^3 + 24*a^4*c^4*x + 2*b^5*x*(-(4*a*c - b^2)^3)^(1/2) + 87*a^3*b^3*c^2 + 3*a^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a^2*b^2*c*(-(4*a*c - b^2)^3)^(1/2) + 97*a^2*b^4*c^2*x - 138*a^3*b^2*c^3*x - 24*a*b^6*c*x - 12*a*b^3*c*x*(-(4*a*c - b^2)^3)^(1/2) + 15*a^2*b*c^2*x*(-(4*a*c - b^2)^3)^(1/2))*((b^4*(-(4*a*c - b^2)^3)^(1/2) + 6*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + b/a^3) - (1/a - (x*(2*b^3 - 7*a*b*c))/(a^2*(4*a*c - b^2)) + (2*c*x^2*(3*a*c - b^2))/(a^2*(4*a*c - b^2)))/(a*x + b*x^2 + c*x^3) - log(2*a*b^4*(-(4*a*c - b^2)^3)^(1/2) - 2*b^8*x - 2*a*b^7 + 23*a^2*b^5*c + 108*a^4*b*c^3 - 24*a^4*c^4*x + 2*b^5*x*(-(4*a*c - b^2)^3)^(1/2) - 87*a^3*b^3*c^2 + 3*a^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a^2*b^2*c*(-(4*a*c - b^2)^3)^(1/2) - 97*a^2*b^4*c^2*x + 138*a^3*b^2*c^3*x + 24*a*b^6*c*x - 12*a*b^3*c*x*(-(4*a*c - b^2)^3)^(1/2) + 15*a^2*b*c^2*x*(-(4*a*c - b^2)^3)^(1/2))*((b^4*(-(4*a*c - b^2)^3)^(1/2) + 6*a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 6*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - b/a^3) - (2*b*log(x))/a^3","B"
26,1,914,202,2.956143,"\text{Not used}","int(x/(a*x^2 + b*x^3 + c*x^4)^2,x)","\frac{\ln\left(6\,a\,b^8+6\,b^9\,x+192\,a^5\,c^4-6\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-73\,a^2\,b^6\,c-6\,b^6\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+307\,a^3\,b^4\,c^2-492\,a^4\,b^2\,c^3+31\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-27\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+339\,a^2\,b^5\,c^2\,x-602\,a^3\,b^3\,c^3\,x+24\,a^3\,c^3\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-76\,a\,b^7\,c\,x+312\,a^4\,b\,c^4\,x+40\,a\,b^4\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-69\,a^2\,b^2\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(3\,b^8+128\,a^4\,c^4-3\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+168\,a^2\,b^4\,c^2-288\,a^3\,b^2\,c^3-38\,a\,b^6\,c-30\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+20\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,a^4\,{\left(4\,a\,c-b^2\right)}^3}-\frac{\ln\left(x\right)\,\left(2\,a\,c-3\,b^2\right)}{a^4}-\frac{\frac{1}{2\,a}-\frac{3\,b\,x}{2\,a^2}+\frac{x^2\,\left(8\,a^2\,c^2-25\,a\,b^2\,c+6\,b^4\right)}{2\,a^3\,\left(4\,a\,c-b^2\right)}-\frac{b\,c\,x^3\,\left(11\,a\,c-3\,b^2\right)}{a^3\,\left(4\,a\,c-b^2\right)}}{c\,x^4+b\,x^3+a\,x^2}+\frac{\ln\left(6\,a\,b^8+6\,b^9\,x+192\,a^5\,c^4+6\,a\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-73\,a^2\,b^6\,c+6\,b^6\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+307\,a^3\,b^4\,c^2-492\,a^4\,b^2\,c^3-31\,a^2\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+27\,a^3\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+339\,a^2\,b^5\,c^2\,x-602\,a^3\,b^3\,c^3\,x-24\,a^3\,c^3\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-76\,a\,b^7\,c\,x+312\,a^4\,b\,c^4\,x-40\,a\,b^4\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+69\,a^2\,b^2\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(3\,b^8+128\,a^4\,c^4+3\,b^5\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+168\,a^2\,b^4\,c^2-288\,a^3\,b^2\,c^3-38\,a\,b^6\,c+30\,a^2\,b\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a\,b^3\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,a^4\,{\left(4\,a\,c-b^2\right)}^3}","Not used",1,"(log(6*a*b^8 + 6*b^9*x + 192*a^5*c^4 - 6*a*b^5*(-(4*a*c - b^2)^3)^(1/2) - 73*a^2*b^6*c - 6*b^6*x*(-(4*a*c - b^2)^3)^(1/2) + 307*a^3*b^4*c^2 - 492*a^4*b^2*c^3 + 31*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) - 27*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 339*a^2*b^5*c^2*x - 602*a^3*b^3*c^3*x + 24*a^3*c^3*x*(-(4*a*c - b^2)^3)^(1/2) - 76*a*b^7*c*x + 312*a^4*b*c^4*x + 40*a*b^4*c*x*(-(4*a*c - b^2)^3)^(1/2) - 69*a^2*b^2*c^2*x*(-(4*a*c - b^2)^3)^(1/2))*(3*b^8 + 128*a^4*c^4 - 3*b^5*(-(4*a*c - b^2)^3)^(1/2) + 168*a^2*b^4*c^2 - 288*a^3*b^2*c^3 - 38*a*b^6*c - 30*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 20*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*a^4*(4*a*c - b^2)^3) - (log(x)*(2*a*c - 3*b^2))/a^4 - (1/(2*a) - (3*b*x)/(2*a^2) + (x^2*(6*b^4 + 8*a^2*c^2 - 25*a*b^2*c))/(2*a^3*(4*a*c - b^2)) - (b*c*x^3*(11*a*c - 3*b^2))/(a^3*(4*a*c - b^2)))/(a*x^2 + b*x^3 + c*x^4) + (log(6*a*b^8 + 6*b^9*x + 192*a^5*c^4 + 6*a*b^5*(-(4*a*c - b^2)^3)^(1/2) - 73*a^2*b^6*c + 6*b^6*x*(-(4*a*c - b^2)^3)^(1/2) + 307*a^3*b^4*c^2 - 492*a^4*b^2*c^3 - 31*a^2*b^3*c*(-(4*a*c - b^2)^3)^(1/2) + 27*a^3*b*c^2*(-(4*a*c - b^2)^3)^(1/2) + 339*a^2*b^5*c^2*x - 602*a^3*b^3*c^3*x - 24*a^3*c^3*x*(-(4*a*c - b^2)^3)^(1/2) - 76*a*b^7*c*x + 312*a^4*b*c^4*x - 40*a*b^4*c*x*(-(4*a*c - b^2)^3)^(1/2) + 69*a^2*b^2*c^2*x*(-(4*a*c - b^2)^3)^(1/2))*(3*b^8 + 128*a^4*c^4 + 3*b^5*(-(4*a*c - b^2)^3)^(1/2) + 168*a^2*b^4*c^2 - 288*a^3*b^2*c^3 - 38*a*b^6*c + 30*a^2*b*c^2*(-(4*a*c - b^2)^3)^(1/2) - 20*a*b^3*c*(-(4*a*c - b^2)^3)^(1/2)))/(2*a^4*(4*a*c - b^2)^3)","B"
27,1,1120,252,3.064473,"\text{Not used}","int(1/(a*x^2 + b*x^3 + c*x^4)^2,x)","\frac{\frac{x^2\,\left(5\,a\,c-6\,b^2\right)}{3\,a^3}-\frac{1}{3\,a}+\frac{2\,b\,x}{3\,a^2}+\frac{x^3\,\left(17\,a^2\,b\,c^2-20\,a\,b^3\,c+4\,b^5\right)}{a^4\,\left(4\,a\,c-b^2\right)}+\frac{2\,c\,x^4\,\left(5\,a^2\,c^2-9\,a\,b^2\,c+2\,b^4\right)}{a^4\,\left(4\,a\,c-b^2\right)}}{c\,x^5+b\,x^4+a\,x^3}+\frac{\ln\left(4\,a\,b^9+4\,b^{10}\,x-4\,a\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-52\,a^2\,b^7\,c+308\,a^5\,b\,c^4-40\,a^5\,c^5\,x-4\,b^7\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+243\,a^3\,b^5\,c^2-473\,a^4\,b^3\,c^3+5\,a^4\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+24\,a^2\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+266\,a^2\,b^6\,c^2\,x-563\,a^3\,b^4\,c^3\,x+438\,a^4\,b^2\,c^4\,x-54\,a\,b^8\,c\,x-33\,a^3\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+30\,a\,b^5\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+41\,a^3\,b\,c^3\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-66\,a^2\,b^3\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(a^2\,\left(132\,b^5\,c^2-30\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)-a^3\,\left(272\,b^3\,c^3-10\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)+2\,b^9-2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-a\,\left(27\,b^7\,c-15\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)+192\,a^4\,b\,c^4\right)}{-64\,a^8\,c^3+48\,a^7\,b^2\,c^2-12\,a^6\,b^4\,c+a^5\,b^6}+\frac{\ln\left(4\,a\,b^9+4\,b^{10}\,x+4\,a\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-52\,a^2\,b^7\,c+308\,a^5\,b\,c^4-40\,a^5\,c^5\,x+4\,b^7\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+243\,a^3\,b^5\,c^2-473\,a^4\,b^3\,c^3-5\,a^4\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-24\,a^2\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+266\,a^2\,b^6\,c^2\,x-563\,a^3\,b^4\,c^3\,x+438\,a^4\,b^2\,c^4\,x-54\,a\,b^8\,c\,x+33\,a^3\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-30\,a\,b^5\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-41\,a^3\,b\,c^3\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+66\,a^2\,b^3\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(a^2\,\left(132\,b^5\,c^2+30\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)-a^3\,\left(272\,b^3\,c^3+10\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)+2\,b^9+2\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-a\,\left(27\,b^7\,c+15\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)+192\,a^4\,b\,c^4\right)}{-64\,a^8\,c^3+48\,a^7\,b^2\,c^2-12\,a^6\,b^4\,c+a^5\,b^6}+\frac{2\,b\,\ln\left(x\right)\,\left(3\,a\,c-2\,b^2\right)}{a^5}","Not used",1,"((x^2*(5*a*c - 6*b^2))/(3*a^3) - 1/(3*a) + (2*b*x)/(3*a^2) + (x^3*(4*b^5 + 17*a^2*b*c^2 - 20*a*b^3*c))/(a^4*(4*a*c - b^2)) + (2*c*x^4*(2*b^4 + 5*a^2*c^2 - 9*a*b^2*c))/(a^4*(4*a*c - b^2)))/(a*x^3 + b*x^4 + c*x^5) + (log(4*a*b^9 + 4*b^10*x - 4*a*b^6*(-(4*a*c - b^2)^3)^(1/2) - 52*a^2*b^7*c + 308*a^5*b*c^4 - 40*a^5*c^5*x - 4*b^7*x*(-(4*a*c - b^2)^3)^(1/2) + 243*a^3*b^5*c^2 - 473*a^4*b^3*c^3 + 5*a^4*c^3*(-(4*a*c - b^2)^3)^(1/2) + 24*a^2*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 266*a^2*b^6*c^2*x - 563*a^3*b^4*c^3*x + 438*a^4*b^2*c^4*x - 54*a*b^8*c*x - 33*a^3*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 30*a*b^5*c*x*(-(4*a*c - b^2)^3)^(1/2) + 41*a^3*b*c^3*x*(-(4*a*c - b^2)^3)^(1/2) - 66*a^2*b^3*c^2*x*(-(4*a*c - b^2)^3)^(1/2))*(a^2*(132*b^5*c^2 - 30*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2)) - a^3*(272*b^3*c^3 - 10*c^3*(-(4*a*c - b^2)^3)^(1/2)) + 2*b^9 - 2*b^6*(-(4*a*c - b^2)^3)^(1/2) - a*(27*b^7*c - 15*b^4*c*(-(4*a*c - b^2)^3)^(1/2)) + 192*a^4*b*c^4))/(a^5*b^6 - 64*a^8*c^3 - 12*a^6*b^4*c + 48*a^7*b^2*c^2) + (log(4*a*b^9 + 4*b^10*x + 4*a*b^6*(-(4*a*c - b^2)^3)^(1/2) - 52*a^2*b^7*c + 308*a^5*b*c^4 - 40*a^5*c^5*x + 4*b^7*x*(-(4*a*c - b^2)^3)^(1/2) + 243*a^3*b^5*c^2 - 473*a^4*b^3*c^3 - 5*a^4*c^3*(-(4*a*c - b^2)^3)^(1/2) - 24*a^2*b^4*c*(-(4*a*c - b^2)^3)^(1/2) + 266*a^2*b^6*c^2*x - 563*a^3*b^4*c^3*x + 438*a^4*b^2*c^4*x - 54*a*b^8*c*x + 33*a^3*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 30*a*b^5*c*x*(-(4*a*c - b^2)^3)^(1/2) - 41*a^3*b*c^3*x*(-(4*a*c - b^2)^3)^(1/2) + 66*a^2*b^3*c^2*x*(-(4*a*c - b^2)^3)^(1/2))*(a^2*(132*b^5*c^2 + 30*b^2*c^2*(-(4*a*c - b^2)^3)^(1/2)) - a^3*(272*b^3*c^3 + 10*c^3*(-(4*a*c - b^2)^3)^(1/2)) + 2*b^9 + 2*b^6*(-(4*a*c - b^2)^3)^(1/2) - a*(27*b^7*c + 15*b^4*c*(-(4*a*c - b^2)^3)^(1/2)) + 192*a^4*b*c^4))/(a^5*b^6 - 64*a^8*c^3 - 12*a^6*b^4*c + 48*a^7*b^2*c^2) + (2*b*log(x)*(3*a*c - 2*b^2))/a^5","B"
28,1,1260,318,3.143208,"\text{Not used}","int(1/(x*(a*x^2 + b*x^3 + c*x^4)^2),x)","\frac{\ln\left(x\right)\,\left(3\,a^2\,c^2-12\,a\,b^2\,c+5\,b^4\right)}{a^6}-\frac{\frac{1}{4\,a}-\frac{x^2\,\left(9\,a\,c-10\,b^2\right)}{12\,a^3}-\frac{5\,b\,x}{12\,a^2}+\frac{x^4\,\left(-12\,a^3\,c^3+80\,a^2\,b^2\,c^2-59\,a\,b^4\,c+10\,b^6\right)}{2\,a^5\,\left(4\,a\,c-b^2\right)}+\frac{b\,x^3\,\left(26\,a\,c-15\,b^2\right)}{6\,a^4}+\frac{b\,c\,x^5\,\left(29\,a^2\,c^2-27\,a\,b^2\,c+5\,b^4\right)}{a^5\,\left(4\,a\,c-b^2\right)}}{c\,x^6+b\,x^5+a\,x^4}+\frac{\ln\left(288\,a^6\,c^5-10\,b^{11}\,x-10\,a\,b^{10}+10\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+139\,a^2\,b^8\,c+10\,b^8\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-717\,a^3\,b^6\,c^2+1643\,a^4\,b^4\,c^3-1508\,a^5\,b^2\,c^4-69\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-53\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-779\,a^2\,b^7\,c^2\,x+1916\,a^3\,b^5\,c^3\,x-1998\,a^4\,b^3\,c^4\,x+36\,a^4\,c^4\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+144\,a\,b^9\,c\,x+129\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+568\,a^5\,b\,c^5\,x-84\,a\,b^6\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+225\,a^2\,b^4\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-206\,a^3\,b^2\,c^3\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(a^3\,\left(466\,b^4\,c^3-35\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)-a^2\,\left(\frac{387\,b^6\,c^2}{2}-\frac{105\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2}\right)-\frac{5\,b^{10}}{2}+96\,a^5\,c^5+\frac{5\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2}+a\,\left(36\,b^8\,c-21\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)-456\,a^4\,b^2\,c^4\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{\ln\left(10\,a\,b^{10}+10\,b^{11}\,x-288\,a^6\,c^5+10\,a\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-139\,a^2\,b^8\,c+10\,b^8\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+717\,a^3\,b^6\,c^2-1643\,a^4\,b^4\,c^3+1508\,a^5\,b^2\,c^4-69\,a^2\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-53\,a^4\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+779\,a^2\,b^7\,c^2\,x-1916\,a^3\,b^5\,c^3\,x+1998\,a^4\,b^3\,c^4\,x+36\,a^4\,c^4\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-144\,a\,b^9\,c\,x+129\,a^3\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-568\,a^5\,b\,c^5\,x-84\,a\,b^6\,c\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+225\,a^2\,b^4\,c^2\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-206\,a^3\,b^2\,c^3\,x\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)\,\left(a^2\,\left(\frac{387\,b^6\,c^2}{2}+\frac{105\,b^3\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2}\right)-a^3\,\left(466\,b^4\,c^3+35\,b\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)+\frac{5\,b^{10}}{2}-96\,a^5\,c^5+\frac{5\,b^7\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{2}-a\,\left(36\,b^8\,c+21\,b^5\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}\right)+456\,a^4\,b^2\,c^4\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}","Not used",1,"(log(x)*(5*b^4 + 3*a^2*c^2 - 12*a*b^2*c))/a^6 - (1/(4*a) - (x^2*(9*a*c - 10*b^2))/(12*a^3) - (5*b*x)/(12*a^2) + (x^4*(10*b^6 - 12*a^3*c^3 + 80*a^2*b^2*c^2 - 59*a*b^4*c))/(2*a^5*(4*a*c - b^2)) + (b*x^3*(26*a*c - 15*b^2))/(6*a^4) + (b*c*x^5*(5*b^4 + 29*a^2*c^2 - 27*a*b^2*c))/(a^5*(4*a*c - b^2)))/(a*x^4 + b*x^5 + c*x^6) + (log(288*a^6*c^5 - 10*b^11*x - 10*a*b^10 + 10*a*b^7*(-(4*a*c - b^2)^3)^(1/2) + 139*a^2*b^8*c + 10*b^8*x*(-(4*a*c - b^2)^3)^(1/2) - 717*a^3*b^6*c^2 + 1643*a^4*b^4*c^3 - 1508*a^5*b^2*c^4 - 69*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 53*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) - 779*a^2*b^7*c^2*x + 1916*a^3*b^5*c^3*x - 1998*a^4*b^3*c^4*x + 36*a^4*c^4*x*(-(4*a*c - b^2)^3)^(1/2) + 144*a*b^9*c*x + 129*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) + 568*a^5*b*c^5*x - 84*a*b^6*c*x*(-(4*a*c - b^2)^3)^(1/2) + 225*a^2*b^4*c^2*x*(-(4*a*c - b^2)^3)^(1/2) - 206*a^3*b^2*c^3*x*(-(4*a*c - b^2)^3)^(1/2))*(a^3*(466*b^4*c^3 - 35*b*c^3*(-(4*a*c - b^2)^3)^(1/2)) - a^2*((387*b^6*c^2)/2 - (105*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/2) - (5*b^10)/2 + 96*a^5*c^5 + (5*b^7*(-(4*a*c - b^2)^3)^(1/2))/2 + a*(36*b^8*c - 21*b^5*c*(-(4*a*c - b^2)^3)^(1/2)) - 456*a^4*b^2*c^4))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (log(10*a*b^10 + 10*b^11*x - 288*a^6*c^5 + 10*a*b^7*(-(4*a*c - b^2)^3)^(1/2) - 139*a^2*b^8*c + 10*b^8*x*(-(4*a*c - b^2)^3)^(1/2) + 717*a^3*b^6*c^2 - 1643*a^4*b^4*c^3 + 1508*a^5*b^2*c^4 - 69*a^2*b^5*c*(-(4*a*c - b^2)^3)^(1/2) - 53*a^4*b*c^3*(-(4*a*c - b^2)^3)^(1/2) + 779*a^2*b^7*c^2*x - 1916*a^3*b^5*c^3*x + 1998*a^4*b^3*c^4*x + 36*a^4*c^4*x*(-(4*a*c - b^2)^3)^(1/2) - 144*a*b^9*c*x + 129*a^3*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2) - 568*a^5*b*c^5*x - 84*a*b^6*c*x*(-(4*a*c - b^2)^3)^(1/2) + 225*a^2*b^4*c^2*x*(-(4*a*c - b^2)^3)^(1/2) - 206*a^3*b^2*c^3*x*(-(4*a*c - b^2)^3)^(1/2))*(a^2*((387*b^6*c^2)/2 + (105*b^3*c^2*(-(4*a*c - b^2)^3)^(1/2))/2) - a^3*(466*b^4*c^3 + 35*b*c^3*(-(4*a*c - b^2)^3)^(1/2)) + (5*b^10)/2 - 96*a^5*c^5 + (5*b^7*(-(4*a*c - b^2)^3)^(1/2))/2 - a*(36*b^8*c + 21*b^5*c*(-(4*a*c - b^2)^3)^(1/2)) + 456*a^4*b^2*c^4))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)","B"
29,0,-1,257,0.000000,"\text{Not used}","int(x^2*(a*x^2 + b*x^3 + c*x^4)^(1/2),x)","\int x^2\,\sqrt{c\,x^4+b\,x^3+a\,x^2} \,d x","Not used",1,"int(x^2*(a*x^2 + b*x^3 + c*x^4)^(1/2), x)","F"
30,0,-1,205,0.000000,"\text{Not used}","int(x*(a*x^2 + b*x^3 + c*x^4)^(1/2),x)","\int x\,\sqrt{c\,x^4+b\,x^3+a\,x^2} \,d x","Not used",1,"int(x*(a*x^2 + b*x^3 + c*x^4)^(1/2), x)","F"
31,0,-1,163,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(1/2),x)","\int \sqrt{c\,x^4+b\,x^3+a\,x^2} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(1/2), x)","F"
32,0,-1,119,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(1/2)/x,x)","\int \frac{\sqrt{c\,x^4+b\,x^3+a\,x^2}}{x} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(1/2)/x, x)","F"
33,0,-1,173,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(1/2)/x^2,x)","\int \frac{\sqrt{c\,x^4+b\,x^3+a\,x^2}}{x^2} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(1/2)/x^2, x)","F"
34,0,-1,173,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(1/2)/x^3,x)","\int \frac{\sqrt{c\,x^4+b\,x^3+a\,x^2}}{x^3} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(1/2)/x^3, x)","F"
35,0,-1,114,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(1/2)/x^4,x)","\int \frac{\sqrt{c\,x^4+b\,x^3+a\,x^2}}{x^4} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(1/2)/x^4, x)","F"
36,0,-1,155,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(1/2)/x^5,x)","\int \frac{\sqrt{c\,x^4+b\,x^3+a\,x^2}}{x^5} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(1/2)/x^5, x)","F"
37,0,-1,205,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(1/2)/x^6,x)","\int \frac{\sqrt{c\,x^4+b\,x^3+a\,x^2}}{x^6} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(1/2)/x^6, x)","F"
38,0,-1,422,0.000000,"\text{Not used}","int(x*(a*x^2 + b*x^3 + c*x^4)^(3/2),x)","\int x\,{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x*(a*x^2 + b*x^3 + c*x^4)^(3/2), x)","F"
39,0,-1,364,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(3/2),x)","\int {\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(3/2), x)","F"
40,0,-1,288,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x,x)","\int \frac{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}}{x} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x, x)","F"
41,0,-1,198,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^2,x)","\int \frac{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}}{x^2} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^2, x)","F"
42,0,-1,165,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^3,x)","\int \frac{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^3, x)","F"
43,0,-1,227,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^4,x)","\int \frac{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^4, x)","F"
44,0,-1,219,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^5,x)","\int \frac{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}}{x^5} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^5, x)","F"
45,0,-1,219,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^6,x)","\int \frac{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}}{x^6} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^6, x)","F"
46,0,-1,257,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^7,x)","\int \frac{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}}{x^7} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^7, x)","F"
47,0,-1,197,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^8,x)","\int \frac{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}}{x^8} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^8, x)","F"
48,0,-1,249,0.000000,"\text{Not used}","int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^9,x)","\int \frac{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}}{x^9} \,d x","Not used",1,"int((a*x^2 + b*x^3 + c*x^4)^(3/2)/x^9, x)","F"
49,0,-1,143,0.000000,"\text{Not used}","int(x^3/(a*x^2 + b*x^3 + c*x^4)^(1/2),x)","\int \frac{x^3}{\sqrt{c\,x^4+b\,x^3+a\,x^2}} \,d x","Not used",1,"int(x^3/(a*x^2 + b*x^3 + c*x^4)^(1/2), x)","F"
50,0,-1,103,0.000000,"\text{Not used}","int(x^2/(a*x^2 + b*x^3 + c*x^4)^(1/2),x)","\int \frac{x^2}{\sqrt{c\,x^4+b\,x^3+a\,x^2}} \,d x","Not used",1,"int(x^2/(a*x^2 + b*x^3 + c*x^4)^(1/2), x)","F"
51,0,-1,71,0.000000,"\text{Not used}","int(x/(a*x^2 + b*x^3 + c*x^4)^(1/2),x)","\int \frac{x}{\sqrt{c\,x^4+b\,x^3+a\,x^2}} \,d x","Not used",1,"int(x/(a*x^2 + b*x^3 + c*x^4)^(1/2), x)","F"
52,0,-1,45,0.000000,"\text{Not used}","int(1/(a*x^2 + b*x^3 + c*x^4)^(1/2),x)","\int \frac{1}{\sqrt{c\,x^4+b\,x^3+a\,x^2}} \,d x","Not used",1,"int(1/(a*x^2 + b*x^3 + c*x^4)^(1/2), x)","F"
53,0,-1,77,0.000000,"\text{Not used}","int(1/(x*(a*x^2 + b*x^3 + c*x^4)^(1/2)),x)","\int \frac{1}{x\,\sqrt{c\,x^4+b\,x^3+a\,x^2}} \,d x","Not used",1,"int(1/(x*(a*x^2 + b*x^3 + c*x^4)^(1/2)), x)","F"
54,0,-1,119,0.000000,"\text{Not used}","int(1/(x^2*(a*x^2 + b*x^3 + c*x^4)^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{c\,x^4+b\,x^3+a\,x^2}} \,d x","Not used",1,"int(1/(x^2*(a*x^2 + b*x^3 + c*x^4)^(1/2)), x)","F"
55,0,-1,262,0.000000,"\text{Not used}","int(x^7/(a*x^2 + b*x^3 + c*x^4)^(3/2),x)","\int \frac{x^7}{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x^7/(a*x^2 + b*x^3 + c*x^4)^(3/2), x)","F"
56,0,-1,201,0.000000,"\text{Not used}","int(x^6/(a*x^2 + b*x^3 + c*x^4)^(3/2),x)","\int \frac{x^6}{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x^6/(a*x^2 + b*x^3 + c*x^4)^(3/2), x)","F"
57,0,-1,153,0.000000,"\text{Not used}","int(x^5/(a*x^2 + b*x^3 + c*x^4)^(3/2),x)","\int \frac{x^5}{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x^5/(a*x^2 + b*x^3 + c*x^4)^(3/2), x)","F"
58,1,75,40,2.121933,"\text{Not used}","int(x^4/(a*x^2 + b*x^3 + c*x^4)^(3/2),x)","-\frac{\left(\frac{4\,a\,c}{4\,a\,c^2-b^2\,c}+\frac{2\,b\,c\,x}{4\,a\,c^2-b^2\,c}\right)\,\sqrt{c\,x^4+b\,x^3+a\,x^2}}{x\,\left(c\,x^2+b\,x+a\right)}","Not used",1,"-(((4*a*c)/(4*a*c^2 - b^2*c) + (2*b*c*x)/(4*a*c^2 - b^2*c))*(a*x^2 + b*x^3 + c*x^4)^(1/2))/(x*(a + b*x + c*x^2))","B"
59,1,75,39,2.033842,"\text{Not used}","int(x^3/(a*x^2 + b*x^3 + c*x^4)^(3/2),x)","\frac{\left(\frac{4\,c^2\,x}{4\,a\,c^2-b^2\,c}+\frac{2\,b\,c}{4\,a\,c^2-b^2\,c}\right)\,\sqrt{c\,x^4+b\,x^3+a\,x^2}}{x\,\left(c\,x^2+b\,x+a\right)}","Not used",1,"(((4*c^2*x)/(4*a*c^2 - b^2*c) + (2*b*c)/(4*a*c^2 - b^2*c))*(a*x^2 + b*x^3 + c*x^4)^(1/2))/(x*(a + b*x + c*x^2))","B"
60,0,-1,94,0.000000,"\text{Not used}","int(x^2/(a*x^2 + b*x^3 + c*x^4)^(3/2),x)","\int \frac{x^2}{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x^2/(a*x^2 + b*x^3 + c*x^4)^(3/2), x)","F"
61,0,-1,144,0.000000,"\text{Not used}","int(x/(a*x^2 + b*x^3 + c*x^4)^(3/2),x)","\int \frac{x}{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(x/(a*x^2 + b*x^3 + c*x^4)^(3/2), x)","F"
62,0,-1,209,0.000000,"\text{Not used}","int(1/(a*x^2 + b*x^3 + c*x^4)^(3/2),x)","\int \frac{1}{{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(1/(a*x^2 + b*x^3 + c*x^4)^(3/2), x)","F"
63,0,-1,271,0.000000,"\text{Not used}","int(1/(x*(a*x^2 + b*x^3 + c*x^4)^(3/2)),x)","\int \frac{1}{x\,{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*(a*x^2 + b*x^3 + c*x^4)^(3/2)), x)","F"
64,0,-1,343,0.000000,"\text{Not used}","int(1/(x^2*(a*x^2 + b*x^3 + c*x^4)^(3/2)),x)","\int \frac{1}{x^2\,{\left(c\,x^4+b\,x^3+a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*(a*x^2 + b*x^3 + c*x^4)^(3/2)), x)","F"
65,1,89,37,2.083928,"\text{Not used}","int(x^m*(a*x + b*x^3 + c*x^5),x)","x^m\,\left(\frac{a\,x^2\,\left(m^2+10\,m+24\right)}{m^3+12\,m^2+44\,m+48}+\frac{b\,x^4\,\left(m^2+8\,m+12\right)}{m^3+12\,m^2+44\,m+48}+\frac{c\,x^6\,\left(m^2+6\,m+8\right)}{m^3+12\,m^2+44\,m+48}\right)","Not used",1,"x^m*((a*x^2*(10*m + m^2 + 24))/(44*m + 12*m^2 + m^3 + 48) + (b*x^4*(8*m + m^2 + 12))/(44*m + 12*m^2 + m^3 + 48) + (c*x^6*(6*m + m^2 + 8))/(44*m + 12*m^2 + m^3 + 48))","B"
66,1,19,25,0.029455,"\text{Not used}","int(x^2*(a*x + b*x^3 + c*x^5),x)","\frac{c\,x^8}{8}+\frac{b\,x^6}{6}+\frac{a\,x^4}{4}","Not used",1,"(a*x^4)/4 + (b*x^6)/6 + (c*x^8)/8","B"
67,1,19,25,0.031103,"\text{Not used}","int(x*(a*x + b*x^3 + c*x^5),x)","\frac{c\,x^7}{7}+\frac{b\,x^5}{5}+\frac{a\,x^3}{3}","Not used",1,"(a*x^3)/3 + (b*x^5)/5 + (c*x^7)/7","B"
68,1,19,25,0.028319,"\text{Not used}","int(a*x + b*x^3 + c*x^5,x)","\frac{c\,x^6}{6}+\frac{b\,x^4}{4}+\frac{a\,x^2}{2}","Not used",1,"(a*x^2)/2 + (b*x^4)/4 + (c*x^6)/6","B"
69,1,16,20,0.027227,"\text{Not used}","int((a*x + b*x^3 + c*x^5)/x,x)","\frac{c\,x^5}{5}+\frac{b\,x^3}{3}+a\,x","Not used",1,"a*x + (b*x^3)/3 + (c*x^5)/5","B"
70,1,17,21,0.025074,"\text{Not used}","int((a*x + b*x^3 + c*x^5)/x^2,x)","\frac{b\,x^2}{2}+\frac{c\,x^4}{4}+a\,\ln\left(x\right)","Not used",1,"(b*x^2)/2 + (c*x^4)/4 + a*log(x)","B"
71,1,16,18,0.029867,"\text{Not used}","int((a*x + b*x^3 + c*x^5)/x^3,x)","b\,x-\frac{a}{x}+\frac{c\,x^3}{3}","Not used",1,"b*x - a/x + (c*x^3)/3","B"
72,1,271,76,2.194664,"\text{Not used}","int(x^m*(a*x + b*x^3 + c*x^5)^2,x)","\frac{a^2\,x^m\,x^3\,\left(m^4+32\,m^3+374\,m^2+1888\,m+3465\right)}{m^5+35\,m^4+470\,m^3+3010\,m^2+9129\,m+10395}+\frac{c^2\,x^m\,x^{11}\,\left(m^4+24\,m^3+206\,m^2+744\,m+945\right)}{m^5+35\,m^4+470\,m^3+3010\,m^2+9129\,m+10395}+\frac{x^m\,x^7\,\left(b^2+2\,a\,c\right)\,\left(m^4+28\,m^3+274\,m^2+1092\,m+1485\right)}{m^5+35\,m^4+470\,m^3+3010\,m^2+9129\,m+10395}+\frac{2\,a\,b\,x^m\,x^5\,\left(m^4+30\,m^3+320\,m^2+1410\,m+2079\right)}{m^5+35\,m^4+470\,m^3+3010\,m^2+9129\,m+10395}+\frac{2\,b\,c\,x^m\,x^9\,\left(m^4+26\,m^3+236\,m^2+886\,m+1155\right)}{m^5+35\,m^4+470\,m^3+3010\,m^2+9129\,m+10395}","Not used",1,"(a^2*x^m*x^3*(1888*m + 374*m^2 + 32*m^3 + m^4 + 3465))/(9129*m + 3010*m^2 + 470*m^3 + 35*m^4 + m^5 + 10395) + (c^2*x^m*x^11*(744*m + 206*m^2 + 24*m^3 + m^4 + 945))/(9129*m + 3010*m^2 + 470*m^3 + 35*m^4 + m^5 + 10395) + (x^m*x^7*(2*a*c + b^2)*(1092*m + 274*m^2 + 28*m^3 + m^4 + 1485))/(9129*m + 3010*m^2 + 470*m^3 + 35*m^4 + m^5 + 10395) + (2*a*b*x^m*x^5*(1410*m + 320*m^2 + 30*m^3 + m^4 + 2079))/(9129*m + 3010*m^2 + 470*m^3 + 35*m^4 + m^5 + 10395) + (2*b*c*x^m*x^9*(886*m + 236*m^2 + 26*m^3 + m^4 + 1155))/(9129*m + 3010*m^2 + 470*m^3 + 35*m^4 + m^5 + 10395)","B"
73,1,45,54,0.034221,"\text{Not used}","int(x^2*(a*x + b*x^3 + c*x^5)^2,x)","x^9\,\left(\frac{b^2}{9}+\frac{2\,a\,c}{9}\right)+\frac{a^2\,x^5}{5}+\frac{c^2\,x^{13}}{13}+\frac{2\,a\,b\,x^7}{7}+\frac{2\,b\,c\,x^{11}}{11}","Not used",1,"x^9*((2*a*c)/9 + b^2/9) + (a^2*x^5)/5 + (c^2*x^13)/13 + (2*a*b*x^7)/7 + (2*b*c*x^11)/11","B"
74,1,45,54,0.024483,"\text{Not used}","int(x*(a*x + b*x^3 + c*x^5)^2,x)","x^8\,\left(\frac{b^2}{8}+\frac{a\,c}{4}\right)+\frac{a^2\,x^4}{4}+\frac{c^2\,x^{12}}{12}+\frac{a\,b\,x^6}{3}+\frac{b\,c\,x^{10}}{5}","Not used",1,"x^8*((a*c)/4 + b^2/8) + (a^2*x^4)/4 + (c^2*x^12)/12 + (a*b*x^6)/3 + (b*c*x^10)/5","B"
75,1,45,54,0.023593,"\text{Not used}","int((a*x + b*x^3 + c*x^5)^2,x)","x^7\,\left(\frac{b^2}{7}+\frac{2\,a\,c}{7}\right)+\frac{a^2\,x^3}{3}+\frac{c^2\,x^{11}}{11}+\frac{2\,a\,b\,x^5}{5}+\frac{2\,b\,c\,x^9}{9}","Not used",1,"x^7*((2*a*c)/7 + b^2/7) + (a^2*x^3)/3 + (c^2*x^11)/11 + (2*a*b*x^5)/5 + (2*b*c*x^9)/9","B"
76,1,45,54,0.023611,"\text{Not used}","int((a*x + b*x^3 + c*x^5)^2/x,x)","x^6\,\left(\frac{b^2}{6}+\frac{a\,c}{3}\right)+\frac{a^2\,x^2}{2}+\frac{c^2\,x^{10}}{10}+\frac{a\,b\,x^4}{2}+\frac{b\,c\,x^8}{4}","Not used",1,"x^6*((a*c)/3 + b^2/6) + (a^2*x^2)/2 + (c^2*x^10)/10 + (a*b*x^4)/2 + (b*c*x^8)/4","B"
77,1,42,49,0.022873,"\text{Not used}","int((a*x + b*x^3 + c*x^5)^2/x^2,x)","a^2\,x+x^5\,\left(\frac{b^2}{5}+\frac{2\,a\,c}{5}\right)+\frac{c^2\,x^9}{9}+\frac{2\,a\,b\,x^3}{3}+\frac{2\,b\,c\,x^7}{7}","Not used",1,"a^2*x + x^5*((2*a*c)/5 + b^2/5) + (c^2*x^9)/9 + (2*a*b*x^3)/3 + (2*b*c*x^7)/7","B"
78,1,842,100,2.203057,"\text{Not used}","int(x^8/(a*x + b*x^3 + c*x^5),x)","\frac{x^4}{4\,c}-\frac{\ln\left(c\,x^4+b\,x^2+a\right)\,\left(8\,a^2\,c^2-10\,a\,b^2\,c+2\,b^4\right)}{2\,\left(16\,a\,c^4-4\,b^2\,c^3\right)}-\frac{b\,x^2}{2\,c^2}+\frac{b\,\mathrm{atan}\left(\frac{2\,c^4\,\left(4\,a\,c-b^2\right)\,\left(\frac{\frac{b\,\left(3\,a\,c-b^2\right)\,\left(\frac{8\,a^2\,c^4-8\,a\,b^2\,c^3}{c^4}-\frac{8\,a\,c^2\,\left(8\,a^2\,c^2-10\,a\,b^2\,c+2\,b^4\right)}{16\,a\,c^4-4\,b^2\,c^3}\right)}{8\,c^3\,\sqrt{4\,a\,c-b^2}}-\frac{a\,b\,\left(3\,a\,c-b^2\right)\,\left(8\,a^2\,c^2-10\,a\,b^2\,c+2\,b^4\right)}{c\,\sqrt{4\,a\,c-b^2}\,\left(16\,a\,c^4-4\,b^2\,c^3\right)}}{a}-x^2\,\left(\frac{\frac{b\,\left(\frac{6\,b^3\,c^3-10\,a\,b\,c^4}{c^4}+\frac{4\,b\,c^2\,\left(8\,a^2\,c^2-10\,a\,b^2\,c+2\,b^4\right)}{16\,a\,c^4-4\,b^2\,c^3}\right)\,\left(3\,a\,c-b^2\right)}{8\,c^3\,\sqrt{4\,a\,c-b^2}}+\frac{b^2\,\left(3\,a\,c-b^2\right)\,\left(8\,a^2\,c^2-10\,a\,b^2\,c+2\,b^4\right)}{2\,c\,\sqrt{4\,a\,c-b^2}\,\left(16\,a\,c^4-4\,b^2\,c^3\right)}}{a}+\frac{b\,\left(\frac{2\,a^2\,b\,c^2-3\,a\,b^3\,c+b^5}{c^4}+\frac{\left(\frac{6\,b^3\,c^3-10\,a\,b\,c^4}{c^4}+\frac{4\,b\,c^2\,\left(8\,a^2\,c^2-10\,a\,b^2\,c+2\,b^4\right)}{16\,a\,c^4-4\,b^2\,c^3}\right)\,\left(8\,a^2\,c^2-10\,a\,b^2\,c+2\,b^4\right)}{2\,\left(16\,a\,c^4-4\,b^2\,c^3\right)}-\frac{b^3\,{\left(3\,a\,c-b^2\right)}^2}{2\,c^4\,\left(4\,a\,c-b^2\right)}\right)}{2\,a\,\sqrt{4\,a\,c-b^2}}\right)+\frac{b\,\left(\frac{\left(\frac{8\,a^2\,c^4-8\,a\,b^2\,c^3}{c^4}-\frac{8\,a\,c^2\,\left(8\,a^2\,c^2-10\,a\,b^2\,c+2\,b^4\right)}{16\,a\,c^4-4\,b^2\,c^3}\right)\,\left(8\,a^2\,c^2-10\,a\,b^2\,c+2\,b^4\right)}{2\,\left(16\,a\,c^4-4\,b^2\,c^3\right)}-\frac{a^3\,c^2-2\,a^2\,b^2\,c+a\,b^4}{c^4}+\frac{a\,b^2\,{\left(3\,a\,c-b^2\right)}^2}{c^4\,\left(4\,a\,c-b^2\right)}\right)}{2\,a\,\sqrt{4\,a\,c-b^2}}\right)}{9\,a^2\,b^2\,c^2-6\,a\,b^4\,c+b^6}\right)\,\left(3\,a\,c-b^2\right)}{2\,c^3\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x^4/(4*c) - (log(a + b*x^2 + c*x^4)*(2*b^4 + 8*a^2*c^2 - 10*a*b^2*c))/(2*(16*a*c^4 - 4*b^2*c^3)) - (b*x^2)/(2*c^2) + (b*atan((2*c^4*(4*a*c - b^2)*(((b*(3*a*c - b^2)*((8*a^2*c^4 - 8*a*b^2*c^3)/c^4 - (8*a*c^2*(2*b^4 + 8*a^2*c^2 - 10*a*b^2*c))/(16*a*c^4 - 4*b^2*c^3)))/(8*c^3*(4*a*c - b^2)^(1/2)) - (a*b*(3*a*c - b^2)*(2*b^4 + 8*a^2*c^2 - 10*a*b^2*c))/(c*(4*a*c - b^2)^(1/2)*(16*a*c^4 - 4*b^2*c^3)))/a - x^2*(((b*((6*b^3*c^3 - 10*a*b*c^4)/c^4 + (4*b*c^2*(2*b^4 + 8*a^2*c^2 - 10*a*b^2*c))/(16*a*c^4 - 4*b^2*c^3))*(3*a*c - b^2))/(8*c^3*(4*a*c - b^2)^(1/2)) + (b^2*(3*a*c - b^2)*(2*b^4 + 8*a^2*c^2 - 10*a*b^2*c))/(2*c*(4*a*c - b^2)^(1/2)*(16*a*c^4 - 4*b^2*c^3)))/a + (b*((b^5 + 2*a^2*b*c^2 - 3*a*b^3*c)/c^4 + (((6*b^3*c^3 - 10*a*b*c^4)/c^4 + (4*b*c^2*(2*b^4 + 8*a^2*c^2 - 10*a*b^2*c))/(16*a*c^4 - 4*b^2*c^3))*(2*b^4 + 8*a^2*c^2 - 10*a*b^2*c))/(2*(16*a*c^4 - 4*b^2*c^3)) - (b^3*(3*a*c - b^2)^2)/(2*c^4*(4*a*c - b^2))))/(2*a*(4*a*c - b^2)^(1/2))) + (b*((((8*a^2*c^4 - 8*a*b^2*c^3)/c^4 - (8*a*c^2*(2*b^4 + 8*a^2*c^2 - 10*a*b^2*c))/(16*a*c^4 - 4*b^2*c^3))*(2*b^4 + 8*a^2*c^2 - 10*a*b^2*c))/(2*(16*a*c^4 - 4*b^2*c^3)) - (a*b^4 + a^3*c^2 - 2*a^2*b^2*c)/c^4 + (a*b^2*(3*a*c - b^2)^2)/(c^4*(4*a*c - b^2))))/(2*a*(4*a*c - b^2)^(1/2))))/(b^6 + 9*a^2*b^2*c^2 - 6*a*b^4*c))*(3*a*c - b^2))/(2*c^3*(4*a*c - b^2)^(1/2))","B"
79,1,4127,203,2.718015,"\text{Not used}","int(x^7/(a*x + b*x^3 + c*x^5),x)","\frac{x^3}{3\,c}-\frac{b\,x}{c^2}-\mathrm{atan}\left(\frac{\left(\left(\frac{4\,a\,b^3\,c^3-16\,a^2\,b\,c^4}{c^3}-\frac{2\,x\,\left(4\,b^3\,c^5-16\,a\,b\,c^6\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}-\frac{2\,x\,\left(-2\,a^3\,c^3+9\,a^2\,b^2\,c^2-6\,a\,b^4\,c+b^6\right)}{c^3}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}\,1{}\mathrm{i}-\left(\left(\frac{4\,a\,b^3\,c^3-16\,a^2\,b\,c^4}{c^3}+\frac{2\,x\,\left(4\,b^3\,c^5-16\,a\,b\,c^6\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\frac{2\,x\,\left(-2\,a^3\,c^3+9\,a^2\,b^2\,c^2-6\,a\,b^4\,c+b^6\right)}{c^3}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{4\,a\,b^3\,c^3-16\,a^2\,b\,c^4}{c^3}-\frac{2\,x\,\left(4\,b^3\,c^5-16\,a\,b\,c^6\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}-\frac{2\,x\,\left(-2\,a^3\,c^3+9\,a^2\,b^2\,c^2-6\,a\,b^4\,c+b^6\right)}{c^3}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\left(\left(\frac{4\,a\,b^3\,c^3-16\,a^2\,b\,c^4}{c^3}+\frac{2\,x\,\left(4\,b^3\,c^5-16\,a\,b\,c^6\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\frac{2\,x\,\left(-2\,a^3\,c^3+9\,a^2\,b^2\,c^2-6\,a\,b^4\,c+b^6\right)}{c^3}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\frac{2\,\left(a^4\,c-a^3\,b^2\right)}{c^3}}\right)\,\sqrt{\frac{b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^7+20\,a^3\,b\,c^3-25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{4\,a\,b^3\,c^3-16\,a^2\,b\,c^4}{c^3}-\frac{2\,x\,\left(4\,b^3\,c^5-16\,a\,b\,c^6\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}-\frac{2\,x\,\left(-2\,a^3\,c^3+9\,a^2\,b^2\,c^2-6\,a\,b^4\,c+b^6\right)}{c^3}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}\,1{}\mathrm{i}-\left(\left(\frac{4\,a\,b^3\,c^3-16\,a^2\,b\,c^4}{c^3}+\frac{2\,x\,\left(4\,b^3\,c^5-16\,a\,b\,c^6\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\frac{2\,x\,\left(-2\,a^3\,c^3+9\,a^2\,b^2\,c^2-6\,a\,b^4\,c+b^6\right)}{c^3}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{4\,a\,b^3\,c^3-16\,a^2\,b\,c^4}{c^3}-\frac{2\,x\,\left(4\,b^3\,c^5-16\,a\,b\,c^6\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}-\frac{2\,x\,\left(-2\,a^3\,c^3+9\,a^2\,b^2\,c^2-6\,a\,b^4\,c+b^6\right)}{c^3}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\left(\left(\frac{4\,a\,b^3\,c^3-16\,a^2\,b\,c^4}{c^3}+\frac{2\,x\,\left(4\,b^3\,c^5-16\,a\,b\,c^6\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}}{c^3}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\frac{2\,x\,\left(-2\,a^3\,c^3+9\,a^2\,b^2\,c^2-6\,a\,b^4\,c+b^6\right)}{c^3}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}+\frac{2\,\left(a^4\,c-a^3\,b^2\right)}{c^3}}\right)\,\sqrt{-\frac{b^7+b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-20\,a^3\,b\,c^3+25\,a^2\,b^3\,c^2+a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-9\,a\,b^5\,c-3\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^7-8\,a\,b^2\,c^6+b^4\,c^5\right)}}\,2{}\mathrm{i}","Not used",1,"x^3/(3*c) - atan(((((4*a*b^3*c^3 - 16*a^2*b*c^4)/c^3 - (2*x*(4*b^3*c^5 - 16*a*b*c^6)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) - (2*x*(b^6 - 2*a^3*c^3 + 9*a^2*b^2*c^2 - 6*a*b^4*c))/c^3)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2)*1i - (((4*a*b^3*c^3 - 16*a^2*b*c^4)/c^3 + (2*x*(4*b^3*c^5 - 16*a*b*c^6)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (2*x*(b^6 - 2*a^3*c^3 + 9*a^2*b^2*c^2 - 6*a*b^4*c))/c^3)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2)*1i)/((((4*a*b^3*c^3 - 16*a^2*b*c^4)/c^3 - (2*x*(4*b^3*c^5 - 16*a*b*c^6)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) - (2*x*(b^6 - 2*a^3*c^3 + 9*a^2*b^2*c^2 - 6*a*b^4*c))/c^3)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (((4*a*b^3*c^3 - 16*a^2*b*c^4)/c^3 + (2*x*(4*b^3*c^5 - 16*a*b*c^6)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (2*x*(b^6 - 2*a^3*c^3 + 9*a^2*b^2*c^2 - 6*a*b^4*c))/c^3)*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (2*(a^4*c - a^3*b^2))/c^3))*(-(b^7 + b^4*(-(4*a*c - b^2)^3)^(1/2) - 20*a^3*b*c^3 + 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) - 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2)*2i - atan(((((4*a*b^3*c^3 - 16*a^2*b*c^4)/c^3 - (2*x*(4*b^3*c^5 - 16*a*b*c^6)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) - (2*x*(b^6 - 2*a^3*c^3 + 9*a^2*b^2*c^2 - 6*a*b^4*c))/c^3)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2)*1i - (((4*a*b^3*c^3 - 16*a^2*b*c^4)/c^3 + (2*x*(4*b^3*c^5 - 16*a*b*c^6)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (2*x*(b^6 - 2*a^3*c^3 + 9*a^2*b^2*c^2 - 6*a*b^4*c))/c^3)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2)*1i)/((((4*a*b^3*c^3 - 16*a^2*b*c^4)/c^3 - (2*x*(4*b^3*c^5 - 16*a*b*c^6)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) - (2*x*(b^6 - 2*a^3*c^3 + 9*a^2*b^2*c^2 - 6*a*b^4*c))/c^3)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (((4*a*b^3*c^3 - 16*a^2*b*c^4)/c^3 + (2*x*(4*b^3*c^5 - 16*a*b*c^6)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2))/c^3)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (2*x*(b^6 - 2*a^3*c^3 + 9*a^2*b^2*c^2 - 6*a*b^4*c))/c^3)*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2) + (2*(a^4*c - a^3*b^2))/c^3))*((b^4*(-(4*a*c - b^2)^3)^(1/2) - b^7 + 20*a^3*b*c^3 - 25*a^2*b^3*c^2 + a^2*c^2*(-(4*a*c - b^2)^3)^(1/2) + 9*a*b^5*c - 3*a*b^2*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^7 + b^4*c^5 - 8*a*b^2*c^6)))^(1/2)*2i - (b*x)/c^2","B"
80,1,655,81,2.438184,"\text{Not used}","int(x^6/(a*x + b*x^3 + c*x^5),x)","\frac{x^2}{2\,c}+\frac{\ln\left(c\,x^4+b\,x^2+a\right)\,\left(2\,b^3-8\,a\,b\,c\right)}{2\,\left(16\,a\,c^3-4\,b^2\,c^2\right)}+\frac{\mathrm{atan}\left(\frac{2\,c^2\,\left(4\,a\,c-b^2\right)\,\left(\frac{\frac{\left(8\,a\,b+\frac{8\,a\,c^2\,\left(2\,b^3-8\,a\,b\,c\right)}{16\,a\,c^3-4\,b^2\,c^2}\right)\,\left(2\,a\,c-b^2\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}+\frac{a\,\left(2\,b^3-8\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{\sqrt{4\,a\,c-b^2}\,\left(16\,a\,c^3-4\,b^2\,c^2\right)}}{a}-x^2\,\left(\frac{\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{4\,a\,c^3-6\,b^2\,c^2}{c^2}-\frac{4\,b\,c^2\,\left(2\,b^3-8\,a\,b\,c\right)}{16\,a\,c^3-4\,b^2\,c^2}\right)}{8\,c^2\,\sqrt{4\,a\,c-b^2}}-\frac{b\,\left(2\,b^3-8\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{2\,\sqrt{4\,a\,c-b^2}\,\left(16\,a\,c^3-4\,b^2\,c^2\right)}}{a}+\frac{b\,\left(\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(\frac{4\,a\,c^3-6\,b^2\,c^2}{c^2}-\frac{4\,b\,c^2\,\left(2\,b^3-8\,a\,b\,c\right)}{16\,a\,c^3-4\,b^2\,c^2}\right)}{2\,\left(16\,a\,c^3-4\,b^2\,c^2\right)}-\frac{b^3-a\,b\,c}{c^2}+\frac{b\,{\left(2\,a\,c-b^2\right)}^2}{2\,c^2\,\left(4\,a\,c-b^2\right)}\right)}{2\,a\,\sqrt{4\,a\,c-b^2}}\right)+\frac{b\,\left(\frac{a\,b^2}{c^2}+\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(8\,a\,b+\frac{8\,a\,c^2\,\left(2\,b^3-8\,a\,b\,c\right)}{16\,a\,c^3-4\,b^2\,c^2}\right)}{2\,\left(16\,a\,c^3-4\,b^2\,c^2\right)}-\frac{a\,{\left(2\,a\,c-b^2\right)}^2}{c^2\,\left(4\,a\,c-b^2\right)}\right)}{2\,a\,\sqrt{4\,a\,c-b^2}}\right)}{4\,a^2\,c^2-4\,a\,b^2\,c+b^4}\right)\,\left(2\,a\,c-b^2\right)}{2\,c^2\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x^2/(2*c) + (log(a + b*x^2 + c*x^4)*(2*b^3 - 8*a*b*c))/(2*(16*a*c^3 - 4*b^2*c^2)) + (atan((2*c^2*(4*a*c - b^2)*((((8*a*b + (8*a*c^2*(2*b^3 - 8*a*b*c))/(16*a*c^3 - 4*b^2*c^2))*(2*a*c - b^2))/(8*c^2*(4*a*c - b^2)^(1/2)) + (a*(2*b^3 - 8*a*b*c)*(2*a*c - b^2))/((4*a*c - b^2)^(1/2)*(16*a*c^3 - 4*b^2*c^2)))/a - x^2*((((2*a*c - b^2)*((4*a*c^3 - 6*b^2*c^2)/c^2 - (4*b*c^2*(2*b^3 - 8*a*b*c))/(16*a*c^3 - 4*b^2*c^2)))/(8*c^2*(4*a*c - b^2)^(1/2)) - (b*(2*b^3 - 8*a*b*c)*(2*a*c - b^2))/(2*(4*a*c - b^2)^(1/2)*(16*a*c^3 - 4*b^2*c^2)))/a + (b*(((2*b^3 - 8*a*b*c)*((4*a*c^3 - 6*b^2*c^2)/c^2 - (4*b*c^2*(2*b^3 - 8*a*b*c))/(16*a*c^3 - 4*b^2*c^2)))/(2*(16*a*c^3 - 4*b^2*c^2)) - (b^3 - a*b*c)/c^2 + (b*(2*a*c - b^2)^2)/(2*c^2*(4*a*c - b^2))))/(2*a*(4*a*c - b^2)^(1/2))) + (b*((a*b^2)/c^2 + ((2*b^3 - 8*a*b*c)*(8*a*b + (8*a*c^2*(2*b^3 - 8*a*b*c))/(16*a*c^3 - 4*b^2*c^2)))/(2*(16*a*c^3 - 4*b^2*c^2)) - (a*(2*a*c - b^2)^2)/(c^2*(4*a*c - b^2))))/(2*a*(4*a*c - b^2)^(1/2))))/(b^4 + 4*a^2*c^2 - 4*a*b^2*c))*(2*a*c - b^2))/(2*c^2*(4*a*c - b^2)^(1/2))","B"
81,1,3026,179,2.583762,"\text{Not used}","int(x^5/(a*x + b*x^3 + c*x^5),x)","\frac{x}{c}-\mathrm{atan}\left(\frac{\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}-\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}+\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}-\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}+\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,a^2\,b}{c}}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}-\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}+\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}-\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}-\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\left(\left(\frac{16\,a^2\,c^3-4\,a\,b^2\,c^2}{c}+\frac{2\,x\,\left(4\,b^3\,c^3-16\,a\,b\,c^4\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,x\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{c}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}+\frac{2\,a^2\,b}{c}}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}}\,2{}\mathrm{i}","Not used",1,"x/c - atan(((((16*a^2*c^3 - 4*a*b^2*c^2)/c - (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i - (((16*a^2*c^3 - 4*a*b^2*c^2)/c + (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i)/((((16*a^2*c^3 - 4*a*b^2*c^2)/c - (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (((16*a^2*c^3 - 4*a*b^2*c^2)/c + (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*a^2*b)/c))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*2i - atan(((((16*a^2*c^3 - 4*a*b^2*c^2)/c - (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i - (((16*a^2*c^3 - 4*a*b^2*c^2)/c + (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*1i)/((((16*a^2*c^3 - 4*a*b^2*c^2)/c - (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) - (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (((16*a^2*c^3 - 4*a*b^2*c^2)/c + (2*x*(4*b^3*c^3 - 16*a*b*c^4)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*x*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/c)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2) + (2*a^2*b)/c))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))^(1/2)*2i","B"
82,1,118,63,0.165932,"\text{Not used}","int(x^4/(a*x + b*x^3 + c*x^5),x)","\frac{4\,a\,c\,\ln\left(c\,x^4+b\,x^2+a\right)}{16\,a\,c^2-4\,b^2\,c}-\frac{b^2\,\ln\left(c\,x^4+b\,x^2+a\right)}{16\,a\,c^2-4\,b^2\,c}-\frac{b\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x^2}{\sqrt{4\,a\,c-b^2}}\right)}{2\,c\,\sqrt{4\,a\,c-b^2}}","Not used",1,"(4*a*c*log(a + b*x^2 + c*x^4))/(16*a*c^2 - 4*b^2*c) - (b^2*log(a + b*x^2 + c*x^4))/(16*a*c^2 - 4*b^2*c) - (b*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x^2)/(4*a*c - b^2)^(1/2)))/(2*c*(4*a*c - b^2)^(1/2))","B"
83,1,416,150,2.208913,"\text{Not used}","int(x^3/(a*x + b*x^3 + c*x^5),x)","-2\,\mathrm{atanh}\left(\frac{\left(x\,\left(4\,a\,c^2-2\,b^2\,c\right)+\frac{x\,\left(8\,b^3\,c^2-32\,a\,b\,c^3\right)\,\left(b^3+\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^3+\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}}}{a\,c}\right)\,\sqrt{-\frac{b^3+\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-4\,a\,b\,c}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}}-2\,\mathrm{atanh}\left(\frac{\left(x\,\left(4\,a\,c^2-2\,b^2\,c\right)-\frac{x\,\left(8\,b^3\,c^2-32\,a\,b\,c^3\right)\,\left(\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3+4\,a\,b\,c\right)}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3+4\,a\,b\,c}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}}}{a\,c}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^3}-b^3+4\,a\,b\,c}{8\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}}","Not used",1,"- 2*atanh(((x*(4*a*c^2 - 2*b^2*c) + (x*(8*b^3*c^2 - 32*a*b*c^3)*(b^3 + (-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^3 + (-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c)/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))^(1/2))/(a*c))*(-(b^3 + (-(4*a*c - b^2)^3)^(1/2) - 4*a*b*c)/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))^(1/2) - 2*atanh(((x*(4*a*c^2 - 2*b^2*c) - (x*(8*b^3*c^2 - 32*a*b*c^3)*((-(4*a*c - b^2)^3)^(1/2) - b^3 + 4*a*b*c))/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(((-(4*a*c - b^2)^3)^(1/2) - b^3 + 4*a*b*c)/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))^(1/2))/(a*c))*(((-(4*a*c - b^2)^3)^(1/2) - b^3 + 4*a*b*c)/(8*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))^(1/2)","B"
84,1,41,36,2.039785,"\text{Not used}","int(x^2/(a*x + b*x^3 + c*x^5),x)","\frac{\mathrm{atan}\left(\frac{2\,a\,c\,x^2+a\,b}{a\,\sqrt{4\,a\,c-b^2}}\right)}{\sqrt{4\,a\,c-b^2}}","Not used",1,"atan((a*b + 2*a*c*x^2)/(a*(4*a*c - b^2)^(1/2)))/(4*a*c - b^2)^(1/2)","B"
85,1,763,150,2.478819,"\text{Not used}","int(x/(a*x + b*x^3 + c*x^5),x)","-\mathrm{atan}\left(\frac{b^4\,x\,1{}\mathrm{i}+b\,x\,\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\,1{}\mathrm{i}+a^2\,c^2\,x\,16{}\mathrm{i}-a\,b^2\,c\,x\,8{}\mathrm{i}}{4\,a\,b^4\,\sqrt{-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{128\,a^3\,c^2-64\,a^2\,b^2\,c+8\,a\,b^4}}+64\,a^3\,c^2\,\sqrt{-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{128\,a^3\,c^2-64\,a^2\,b^2\,c+8\,a\,b^4}}-32\,a^2\,b^2\,c\,\sqrt{-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{128\,a^3\,c^2-64\,a^2\,b^2\,c+8\,a\,b^4}}}\right)\,\sqrt{-\frac{b^3+\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-4\,a\,b\,c}{128\,a^3\,c^2-64\,a^2\,b^2\,c+8\,a\,b^4}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{b^4\,x\,1{}\mathrm{i}-b\,x\,\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\,1{}\mathrm{i}+a^2\,c^2\,x\,16{}\mathrm{i}-a\,b^2\,c\,x\,8{}\mathrm{i}}{4\,a\,b^4\,\sqrt{\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{128\,a^3\,c^2-64\,a^2\,b^2\,c+8\,a\,b^4}}+64\,a^3\,c^2\,\sqrt{\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{128\,a^3\,c^2-64\,a^2\,b^2\,c+8\,a\,b^4}}-32\,a^2\,b^2\,c\,\sqrt{\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{128\,a^3\,c^2-64\,a^2\,b^2\,c+8\,a\,b^4}}}\right)\,\sqrt{\frac{\sqrt{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}-b^3+4\,a\,b\,c}{128\,a^3\,c^2-64\,a^2\,b^2\,c+8\,a\,b^4}}\,2{}\mathrm{i}","Not used",1,"- atan((b^4*x*1i + b*x*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2)*1i + a^2*c^2*x*16i - a*b^2*c*x*8i)/(4*a*b^4*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(8*a*b^4 + 128*a^3*c^2 - 64*a^2*b^2*c))^(1/2) + 64*a^3*c^2*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(8*a*b^4 + 128*a^3*c^2 - 64*a^2*b^2*c))^(1/2) - 32*a^2*b^2*c*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(8*a*b^4 + 128*a^3*c^2 - 64*a^2*b^2*c))^(1/2)))*(-(b^3 + (b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - 4*a*b*c)/(8*a*b^4 + 128*a^3*c^2 - 64*a^2*b^2*c))^(1/2)*2i - atan((b^4*x*1i - b*x*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2)*1i + a^2*c^2*x*16i - a*b^2*c*x*8i)/(4*a*b^4*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(8*a*b^4 + 128*a^3*c^2 - 64*a^2*b^2*c))^(1/2) + 64*a^3*c^2*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(8*a*b^4 + 128*a^3*c^2 - 64*a^2*b^2*c))^(1/2) - 32*a^2*b^2*c*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(8*a*b^4 + 128*a^3*c^2 - 64*a^2*b^2*c))^(1/2)))*(((b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)^(1/2) - b^3 + 4*a*b*c)/(8*a*b^4 + 128*a^3*c^2 - 64*a^2*b^2*c))^(1/2)*2i","B"
86,1,1014,69,2.701491,"\text{Not used}","int(1/(a*x + b*x^3 + c*x^5),x)","\frac{\ln\left(x\right)}{a}+\frac{\ln\left(c\,x^4+b\,x^2+a\right)\,\left(8\,a\,c-2\,b^2\right)}{2\,\left(4\,a\,b^2-16\,a^2\,c\right)}+\frac{b\,\mathrm{atan}\left(\frac{16\,a^3\,x^2\,\left(\frac{\left(3\,b^3-8\,a\,b\,c\right)\,\left(\frac{{\left(8\,a\,c-2\,b^2\right)}^2\,\left(10\,b\,c^3-\frac{\left(12\,b^3\,c^2-40\,a\,b\,c^3\right)\,\left(8\,a\,c-2\,b^2\right)}{2\,\left(4\,a\,b^2-16\,a^2\,c\right)}\right)}{4\,{\left(4\,a\,b^2-16\,a^2\,c\right)}^2}-\frac{b^2\,\left(10\,b\,c^3-\frac{\left(12\,b^3\,c^2-40\,a\,b\,c^3\right)\,\left(8\,a\,c-2\,b^2\right)}{2\,\left(4\,a\,b^2-16\,a^2\,c\right)}\right)}{16\,a^2\,\left(4\,a\,c-b^2\right)}+\frac{b^2\,\left(12\,b^3\,c^2-40\,a\,b\,c^3\right)\,\left(8\,a\,c-2\,b^2\right)}{16\,a^2\,\left(4\,a\,b^2-16\,a^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{8\,a^3\,c^2\,\left(25\,a\,c-6\,b^2\right)}-\frac{\left(10\,a^2\,c^2-14\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{b^3\,\left(12\,b^3\,c^2-40\,a\,b\,c^3\right)}{64\,a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{b\,\left(12\,b^3\,c^2-40\,a\,b\,c^3\right)\,{\left(8\,a\,c-2\,b^2\right)}^2}{16\,a\,{\left(4\,a\,b^2-16\,a^2\,c\right)}^2\,\sqrt{4\,a\,c-b^2}}+\frac{b\,\left(8\,a\,c-2\,b^2\right)\,\left(10\,b\,c^3-\frac{\left(12\,b^3\,c^2-40\,a\,b\,c^3\right)\,\left(8\,a\,c-2\,b^2\right)}{2\,\left(4\,a\,b^2-16\,a^2\,c\right)}\right)}{4\,a\,\left(4\,a\,b^2-16\,a^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}\,\left(25\,a\,c-6\,b^2\right)}\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}{b^2\,c^2}+\frac{2\,\left(3\,b^3-8\,a\,b\,c\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(\frac{{\left(8\,a\,c-2\,b^2\right)}^2\,\left(4\,b^2\,c^2-\frac{2\,a\,b^2\,c^2\,\left(8\,a\,c-2\,b^2\right)}{4\,a\,b^2-16\,a^2\,c}\right)}{4\,{\left(4\,a\,b^2-16\,a^2\,c\right)}^2}-\frac{b^2\,\left(4\,b^2\,c^2-\frac{2\,a\,b^2\,c^2\,\left(8\,a\,c-2\,b^2\right)}{4\,a\,b^2-16\,a^2\,c}\right)}{16\,a^2\,\left(4\,a\,c-b^2\right)}+\frac{b^4\,c^2\,\left(8\,a\,c-2\,b^2\right)}{4\,a\,\left(4\,a\,b^2-16\,a^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)}{b^2\,c^4\,\left(25\,a\,c-6\,b^2\right)}-\frac{2\,\left(4\,a\,c-b^2\right)\,\left(10\,a^2\,c^2-14\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{b^5\,c^2}{16\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{b^3\,c^2\,{\left(8\,a\,c-2\,b^2\right)}^2}{4\,{\left(4\,a\,b^2-16\,a^2\,c\right)}^2\,\sqrt{4\,a\,c-b^2}}+\frac{b\,\left(8\,a\,c-2\,b^2\right)\,\left(4\,b^2\,c^2-\frac{2\,a\,b^2\,c^2\,\left(8\,a\,c-2\,b^2\right)}{4\,a\,b^2-16\,a^2\,c}\right)}{4\,a\,\left(4\,a\,b^2-16\,a^2\,c\right)\,\sqrt{4\,a\,c-b^2}}\right)}{b^2\,c^4\,\left(25\,a\,c-6\,b^2\right)}\right)}{2\,a\,\sqrt{4\,a\,c-b^2}}","Not used",1,"log(x)/a + (log(a + b*x^2 + c*x^4)*(8*a*c - 2*b^2))/(2*(4*a*b^2 - 16*a^2*c)) + (b*atan((16*a^3*x^2*(((3*b^3 - 8*a*b*c)*(((8*a*c - 2*b^2)^2*(10*b*c^3 - ((12*b^3*c^2 - 40*a*b*c^3)*(8*a*c - 2*b^2))/(2*(4*a*b^2 - 16*a^2*c))))/(4*(4*a*b^2 - 16*a^2*c)^2) - (b^2*(10*b*c^3 - ((12*b^3*c^2 - 40*a*b*c^3)*(8*a*c - 2*b^2))/(2*(4*a*b^2 - 16*a^2*c))))/(16*a^2*(4*a*c - b^2)) + (b^2*(12*b^3*c^2 - 40*a*b*c^3)*(8*a*c - 2*b^2))/(16*a^2*(4*a*b^2 - 16*a^2*c)*(4*a*c - b^2))))/(8*a^3*c^2*(25*a*c - 6*b^2)) - ((3*b^4 + 10*a^2*c^2 - 14*a*b^2*c)*((b^3*(12*b^3*c^2 - 40*a*b*c^3))/(64*a^3*(4*a*c - b^2)^(3/2)) - (b*(12*b^3*c^2 - 40*a*b*c^3)*(8*a*c - 2*b^2)^2)/(16*a*(4*a*b^2 - 16*a^2*c)^2*(4*a*c - b^2)^(1/2)) + (b*(8*a*c - 2*b^2)*(10*b*c^3 - ((12*b^3*c^2 - 40*a*b*c^3)*(8*a*c - 2*b^2))/(2*(4*a*b^2 - 16*a^2*c))))/(4*a*(4*a*b^2 - 16*a^2*c)*(4*a*c - b^2)^(1/2))))/(8*a^3*c^2*(4*a*c - b^2)^(1/2)*(25*a*c - 6*b^2)))*(4*a*c - b^2)^(3/2))/(b^2*c^2) + (2*(3*b^3 - 8*a*b*c)*(4*a*c - b^2)^(3/2)*(((8*a*c - 2*b^2)^2*(4*b^2*c^2 - (2*a*b^2*c^2*(8*a*c - 2*b^2))/(4*a*b^2 - 16*a^2*c)))/(4*(4*a*b^2 - 16*a^2*c)^2) - (b^2*(4*b^2*c^2 - (2*a*b^2*c^2*(8*a*c - 2*b^2))/(4*a*b^2 - 16*a^2*c)))/(16*a^2*(4*a*c - b^2)) + (b^4*c^2*(8*a*c - 2*b^2))/(4*a*(4*a*b^2 - 16*a^2*c)*(4*a*c - b^2))))/(b^2*c^4*(25*a*c - 6*b^2)) - (2*(4*a*c - b^2)*(3*b^4 + 10*a^2*c^2 - 14*a*b^2*c)*((b^5*c^2)/(16*a^2*(4*a*c - b^2)^(3/2)) - (b^3*c^2*(8*a*c - 2*b^2)^2)/(4*(4*a*b^2 - 16*a^2*c)^2*(4*a*c - b^2)^(1/2)) + (b*(8*a*c - 2*b^2)*(4*b^2*c^2 - (2*a*b^2*c^2*(8*a*c - 2*b^2))/(4*a*b^2 - 16*a^2*c)))/(4*a*(4*a*b^2 - 16*a^2*c)*(4*a*c - b^2)^(1/2))))/(b^2*c^4*(25*a*c - 6*b^2))))/(2*a*(4*a*c - b^2)^(1/2))","B"
87,1,2997,174,2.859000,"\text{Not used}","int(1/(x*(a*x + b*x^3 + c*x^5)),x)","-\frac{1}{a\,x}-\mathrm{atan}\left(\frac{\left(x\,\left(4\,a^4\,c^4-2\,a^3\,b^2\,c^3\right)+\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(4\,a^4\,b^3\,c^2-16\,a^5\,b\,c^3+x\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\right)\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,1{}\mathrm{i}+\left(x\,\left(4\,a^4\,c^4-2\,a^3\,b^2\,c^3\right)+\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(16\,a^5\,b\,c^3-4\,a^4\,b^3\,c^2+x\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\right)\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,1{}\mathrm{i}}{\left(x\,\left(4\,a^4\,c^4-2\,a^3\,b^2\,c^3\right)+\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(16\,a^5\,b\,c^3-4\,a^4\,b^3\,c^2+x\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\right)\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}-\left(x\,\left(4\,a^4\,c^4-2\,a^3\,b^2\,c^3\right)+\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(4\,a^4\,b^3\,c^2-16\,a^5\,b\,c^3+x\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\right)\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+2\,a^3\,c^4}\right)\,\sqrt{-\frac{b^5+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c-a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(x\,\left(4\,a^4\,c^4-2\,a^3\,b^2\,c^3\right)+\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(4\,a^4\,b^3\,c^2-16\,a^5\,b\,c^3+x\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\right)\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,1{}\mathrm{i}+\left(x\,\left(4\,a^4\,c^4-2\,a^3\,b^2\,c^3\right)+\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(16\,a^5\,b\,c^3-4\,a^4\,b^3\,c^2+x\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\right)\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,1{}\mathrm{i}}{\left(x\,\left(4\,a^4\,c^4-2\,a^3\,b^2\,c^3\right)+\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(16\,a^5\,b\,c^3-4\,a^4\,b^3\,c^2+x\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\right)\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}-\left(x\,\left(4\,a^4\,c^4-2\,a^3\,b^2\,c^3\right)+\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,\left(4\,a^4\,b^3\,c^2-16\,a^5\,b\,c^3+x\,\left(32\,a^6\,b\,c^3-8\,a^5\,b^3\,c^2\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\right)\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}+2\,a^3\,c^4}\right)\,\sqrt{-\frac{b^5-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}+12\,a^2\,b\,c^2-7\,a\,b^3\,c+a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^3}}{8\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}}\,2{}\mathrm{i}","Not used",1,"- atan(((x*(4*a^4*c^4 - 2*a^3*b^2*c^3) + (-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(4*a^4*b^3*c^2 - 16*a^5*b*c^3 + x*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*1i + (x*(4*a^4*c^4 - 2*a^3*b^2*c^3) + (-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(16*a^5*b*c^3 - 4*a^4*b^3*c^2 + x*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*1i)/((x*(4*a^4*c^4 - 2*a^3*b^2*c^3) + (-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(16*a^5*b*c^3 - 4*a^4*b^3*c^2 + x*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) - (x*(4*a^4*c^4 - 2*a^3*b^2*c^3) + (-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(4*a^4*b^3*c^2 - 16*a^5*b*c^3 + x*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 2*a^3*c^4))*(-(b^5 + b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c - a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*2i - atan(((x*(4*a^4*c^4 - 2*a^3*b^2*c^3) + (-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(4*a^4*b^3*c^2 - 16*a^5*b*c^3 + x*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*1i + (x*(4*a^4*c^4 - 2*a^3*b^2*c^3) + (-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(16*a^5*b*c^3 - 4*a^4*b^3*c^2 + x*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*1i)/((x*(4*a^4*c^4 - 2*a^3*b^2*c^3) + (-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(16*a^5*b*c^3 - 4*a^4*b^3*c^2 + x*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) - (x*(4*a^4*c^4 - 2*a^3*b^2*c^3) + (-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*(4*a^4*b^3*c^2 - 16*a^5*b*c^3 + x*(32*a^6*b*c^3 - 8*a^5*b^3*c^2)*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2) + 2*a^3*c^4))*(-(b^5 - b^2*(-(4*a*c - b^2)^3)^(1/2) + 12*a^2*b*c^2 - 7*a*b^3*c + a*c*(-(4*a*c - b^2)^3)^(1/2))/(8*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))^(1/2)*2i - 1/(a*x)","B"
88,1,2033,89,3.910190,"\text{Not used}","int(1/(x^2*(a*x + b*x^3 + c*x^5)),x)","\frac{\mathrm{atan}\left(\frac{16\,a^6\,x^2\,\left(\frac{\left(a^2\,c^2-9\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{c^5}{a^3}+\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(\frac{6\,b\,c^4}{a^2}+\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(\frac{20\,a^3\,c^4+2\,a^2\,b^2\,c^3}{a^3}+\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(40\,a^4\,b\,c^3-12\,a^3\,b^3\,c^2\right)}{2\,a^3\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)}{2\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)}{2\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}-\frac{\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{20\,a^3\,c^4+2\,a^2\,b^2\,c^3}{a^3}+\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(40\,a^4\,b\,c^3-12\,a^3\,b^3\,c^2\right)}{2\,a^3\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)}{4\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(40\,a^4\,b\,c^3-12\,a^3\,b^3\,c^2\right)\,\left(2\,a\,c-b^2\right)}{8\,a^5\,\sqrt{4\,a\,c-b^2}\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(40\,a^4\,b\,c^3-12\,a^3\,b^3\,c^2\right)\,{\left(2\,a\,c-b^2\right)}^2}{32\,a^7\,\left(4\,a\,c-b^2\right)\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)}{8\,a^3\,c^2\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)}+\frac{\left(\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{20\,a^3\,c^4+2\,a^2\,b^2\,c^3}{a^3}+\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(40\,a^4\,b\,c^3-12\,a^3\,b^3\,c^2\right)}{2\,a^3\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)}{4\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(40\,a^4\,b\,c^3-12\,a^3\,b^3\,c^2\right)\,\left(2\,a\,c-b^2\right)}{8\,a^5\,\sqrt{4\,a\,c-b^2}\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)}{2\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}-\frac{\left(40\,a^4\,b\,c^3-12\,a^3\,b^3\,c^2\right)\,{\left(2\,a\,c-b^2\right)}^3}{64\,a^9\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{\left(\frac{6\,b\,c^4}{a^2}+\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(\frac{20\,a^3\,c^4+2\,a^2\,b^2\,c^3}{a^3}+\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(40\,a^4\,b\,c^3-12\,a^3\,b^3\,c^2\right)}{2\,a^3\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)}{2\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,\sqrt{4\,a\,c-b^2}}\right)\,\left(13\,a^2\,b\,c^2-15\,a\,b^3\,c+3\,b^5\right)}{8\,a^3\,c^2\,\sqrt{4\,a\,c-b^2}\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)}\right)\,{\left(4\,a\,c-b^2\right)}^{3/2}}{4\,a^2\,c^4-4\,a\,b^2\,c^3+b^4\,c^2}-\frac{2\,a^3\,\left(4\,a\,c-b^2\right)\,\left(13\,a^2\,b\,c^2-15\,a\,b^3\,c+3\,b^5\right)\,\left(\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(\frac{\left(\frac{4\,a^3\,b\,c^3-4\,a^2\,b^3\,c^2}{a^3}+\frac{2\,a\,b^2\,c^2\,\left(2\,b^3-8\,a\,b\,c\right)}{16\,a^3\,c-4\,a^2\,b^2}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{b^2\,c^2\,\left(2\,b^3-8\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{2\,a\,\sqrt{4\,a\,c-b^2}\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)}{2\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{a^2\,c^4-4\,a\,b^2\,c^3}{a^3}+\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(\frac{4\,a^3\,b\,c^3-4\,a^2\,b^3\,c^2}{a^3}+\frac{2\,a\,b^2\,c^2\,\left(2\,b^3-8\,a\,b\,c\right)}{16\,a^3\,c-4\,a^2\,b^2}\right)}{2\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)}{4\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{b^2\,c^2\,{\left(2\,a\,c-b^2\right)}^3}{16\,a^5\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{c^2\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)\,\left(4\,a^2\,c^4-4\,a\,b^2\,c^3+b^4\,c^2\right)}+\frac{2\,a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(a^2\,c^2-9\,a\,b^2\,c+3\,b^4\right)\,\left(\frac{b\,c^4}{a^3}-\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(\frac{a^2\,c^4-4\,a\,b^2\,c^3}{a^3}+\frac{\left(2\,b^3-8\,a\,b\,c\right)\,\left(\frac{4\,a^3\,b\,c^3-4\,a^2\,b^3\,c^2}{a^3}+\frac{2\,a\,b^2\,c^2\,\left(2\,b^3-8\,a\,b\,c\right)}{16\,a^3\,c-4\,a^2\,b^2}\right)}{2\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)}{2\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}+\frac{\left(2\,a\,c-b^2\right)\,\left(\frac{\left(\frac{4\,a^3\,b\,c^3-4\,a^2\,b^3\,c^2}{a^3}+\frac{2\,a\,b^2\,c^2\,\left(2\,b^3-8\,a\,b\,c\right)}{16\,a^3\,c-4\,a^2\,b^2}\right)\,\left(2\,a\,c-b^2\right)}{4\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{b^2\,c^2\,\left(2\,b^3-8\,a\,b\,c\right)\,\left(2\,a\,c-b^2\right)}{2\,a\,\sqrt{4\,a\,c-b^2}\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)}{4\,a^2\,\sqrt{4\,a\,c-b^2}}+\frac{b^2\,c^2\,\left(2\,b^3-8\,a\,b\,c\right)\,{\left(2\,a\,c-b^2\right)}^2}{8\,a^3\,\left(4\,a\,c-b^2\right)\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}\right)}{c^2\,\left(a^2\,c^2+24\,a\,b^2\,c-6\,b^4\right)\,\left(4\,a^2\,c^4-4\,a\,b^2\,c^3+b^4\,c^2\right)}\right)\,\left(2\,a\,c-b^2\right)}{2\,a^2\,\sqrt{4\,a\,c-b^2}}-\frac{b\,\ln\left(x\right)}{a^2}-\frac{\ln\left(c\,x^4+b\,x^2+a\right)\,\left(2\,b^3-8\,a\,b\,c\right)}{2\,\left(16\,a^3\,c-4\,a^2\,b^2\right)}-\frac{1}{2\,a\,x^2}","Not used",1,"(atan((16*a^6*x^2*(((3*b^4 + a^2*c^2 - 9*a*b^2*c)*(c^5/a^3 + ((2*b^3 - 8*a*b*c)*((6*b*c^4)/a^2 + ((2*b^3 - 8*a*b*c)*((20*a^3*c^4 + 2*a^2*b^2*c^3)/a^3 + ((2*b^3 - 8*a*b*c)*(40*a^4*b*c^3 - 12*a^3*b^3*c^2))/(2*a^3*(16*a^3*c - 4*a^2*b^2))))/(2*(16*a^3*c - 4*a^2*b^2))))/(2*(16*a^3*c - 4*a^2*b^2)) - ((((2*a*c - b^2)*((20*a^3*c^4 + 2*a^2*b^2*c^3)/a^3 + ((2*b^3 - 8*a*b*c)*(40*a^4*b*c^3 - 12*a^3*b^3*c^2))/(2*a^3*(16*a^3*c - 4*a^2*b^2))))/(4*a^2*(4*a*c - b^2)^(1/2)) + ((2*b^3 - 8*a*b*c)*(40*a^4*b*c^3 - 12*a^3*b^3*c^2)*(2*a*c - b^2))/(8*a^5*(4*a*c - b^2)^(1/2)*(16*a^3*c - 4*a^2*b^2)))*(2*a*c - b^2))/(4*a^2*(4*a*c - b^2)^(1/2)) - ((2*b^3 - 8*a*b*c)*(40*a^4*b*c^3 - 12*a^3*b^3*c^2)*(2*a*c - b^2)^2)/(32*a^7*(4*a*c - b^2)*(16*a^3*c - 4*a^2*b^2))))/(8*a^3*c^2*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)) + ((((2*b^3 - 8*a*b*c)*(((2*a*c - b^2)*((20*a^3*c^4 + 2*a^2*b^2*c^3)/a^3 + ((2*b^3 - 8*a*b*c)*(40*a^4*b*c^3 - 12*a^3*b^3*c^2))/(2*a^3*(16*a^3*c - 4*a^2*b^2))))/(4*a^2*(4*a*c - b^2)^(1/2)) + ((2*b^3 - 8*a*b*c)*(40*a^4*b*c^3 - 12*a^3*b^3*c^2)*(2*a*c - b^2))/(8*a^5*(4*a*c - b^2)^(1/2)*(16*a^3*c - 4*a^2*b^2))))/(2*(16*a^3*c - 4*a^2*b^2)) - ((40*a^4*b*c^3 - 12*a^3*b^3*c^2)*(2*a*c - b^2)^3)/(64*a^9*(4*a*c - b^2)^(3/2)) + (((6*b*c^4)/a^2 + ((2*b^3 - 8*a*b*c)*((20*a^3*c^4 + 2*a^2*b^2*c^3)/a^3 + ((2*b^3 - 8*a*b*c)*(40*a^4*b*c^3 - 12*a^3*b^3*c^2))/(2*a^3*(16*a^3*c - 4*a^2*b^2))))/(2*(16*a^3*c - 4*a^2*b^2)))*(2*a*c - b^2))/(4*a^2*(4*a*c - b^2)^(1/2)))*(3*b^5 + 13*a^2*b*c^2 - 15*a*b^3*c))/(8*a^3*c^2*(4*a*c - b^2)^(1/2)*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)))*(4*a*c - b^2)^(3/2))/(4*a^2*c^4 + b^4*c^2 - 4*a*b^2*c^3) - (2*a^3*(4*a*c - b^2)*(3*b^5 + 13*a^2*b*c^2 - 15*a*b^3*c)*(((2*b^3 - 8*a*b*c)*((((4*a^3*b*c^3 - 4*a^2*b^3*c^2)/a^3 + (2*a*b^2*c^2*(2*b^3 - 8*a*b*c))/(16*a^3*c - 4*a^2*b^2))*(2*a*c - b^2))/(4*a^2*(4*a*c - b^2)^(1/2)) + (b^2*c^2*(2*b^3 - 8*a*b*c)*(2*a*c - b^2))/(2*a*(4*a*c - b^2)^(1/2)*(16*a^3*c - 4*a^2*b^2))))/(2*(16*a^3*c - 4*a^2*b^2)) + ((2*a*c - b^2)*((a^2*c^4 - 4*a*b^2*c^3)/a^3 + ((2*b^3 - 8*a*b*c)*((4*a^3*b*c^3 - 4*a^2*b^3*c^2)/a^3 + (2*a*b^2*c^2*(2*b^3 - 8*a*b*c))/(16*a^3*c - 4*a^2*b^2)))/(2*(16*a^3*c - 4*a^2*b^2))))/(4*a^2*(4*a*c - b^2)^(1/2)) - (b^2*c^2*(2*a*c - b^2)^3)/(16*a^5*(4*a*c - b^2)^(3/2))))/(c^2*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)*(4*a^2*c^4 + b^4*c^2 - 4*a*b^2*c^3)) + (2*a^3*(4*a*c - b^2)^(3/2)*(3*b^4 + a^2*c^2 - 9*a*b^2*c)*((b*c^4)/a^3 - ((2*b^3 - 8*a*b*c)*((a^2*c^4 - 4*a*b^2*c^3)/a^3 + ((2*b^3 - 8*a*b*c)*((4*a^3*b*c^3 - 4*a^2*b^3*c^2)/a^3 + (2*a*b^2*c^2*(2*b^3 - 8*a*b*c))/(16*a^3*c - 4*a^2*b^2)))/(2*(16*a^3*c - 4*a^2*b^2))))/(2*(16*a^3*c - 4*a^2*b^2)) + ((2*a*c - b^2)*((((4*a^3*b*c^3 - 4*a^2*b^3*c^2)/a^3 + (2*a*b^2*c^2*(2*b^3 - 8*a*b*c))/(16*a^3*c - 4*a^2*b^2))*(2*a*c - b^2))/(4*a^2*(4*a*c - b^2)^(1/2)) + (b^2*c^2*(2*b^3 - 8*a*b*c)*(2*a*c - b^2))/(2*a*(4*a*c - b^2)^(1/2)*(16*a^3*c - 4*a^2*b^2))))/(4*a^2*(4*a*c - b^2)^(1/2)) + (b^2*c^2*(2*b^3 - 8*a*b*c)*(2*a*c - b^2)^2)/(8*a^3*(4*a*c - b^2)*(16*a^3*c - 4*a^2*b^2))))/(c^2*(a^2*c^2 - 6*b^4 + 24*a*b^2*c)*(4*a^2*c^4 + b^4*c^2 - 4*a*b^2*c^3)))*(2*a*c - b^2))/(2*a^2*(4*a*c - b^2)^(1/2)) - (b*log(x))/a^2 - (log(a + b*x^2 + c*x^4)*(2*b^3 - 8*a*b*c))/(2*(16*a^3*c - 4*a^2*b^2)) - 1/(2*a*x^2)","B"
89,1,1473,166,0.528020,"\text{Not used}","int(x^11/(a*x + b*x^3 + c*x^5)^2,x)","\frac{\frac{a\,\left(b^3-3\,a\,b\,c\right)}{2\,c\,\left(4\,a\,c-b^2\right)}+\frac{x^2\,\left(2\,a^2\,c^2-4\,a\,b^2\,c+b^4\right)}{2\,c\,\left(4\,a\,c-b^2\right)}}{c^3\,x^4+b\,c^2\,x^2+a\,c^2}+\frac{x^2}{2\,c^2}+\frac{\ln\left(c\,x^4+b\,x^2+a\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{2\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}+\frac{\mathrm{atan}\left(\frac{\left(4\,a\,c^5\,{\left(4\,a\,c-b^2\right)}^3-b^2\,c^4\,{\left(4\,a\,c-b^2\right)}^3\right)\,\left(\frac{\frac{\left(\frac{16\,a\,b}{c}+\frac{8\,a\,c^2\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,c^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{4\,a\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{c\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}}{2\,a\,\left(4\,a\,c-b^2\right)}-x^2\,\left(\frac{\frac{\left(\frac{4\,\left(6\,a^2\,c^5-14\,a\,b^2\,c^4+3\,b^4\,c^3\right)}{4\,a\,c^5-b^2\,c^4}+\frac{2\,\left(2\,b^3\,c^6-8\,a\,b\,c^7\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{\left(4\,a\,c^5-b^2\,c^4\right)\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,c^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{\left(2\,b^3\,c^6-8\,a\,b\,c^7\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(4\,a\,c^5-b^2\,c^4\right)\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}}{2\,a\,\left(4\,a\,c-b^2\right)}+\frac{b\,\left(\frac{4\,\left(3\,a^2\,b\,c^2-5\,a\,b^3\,c+b^5\right)}{4\,a\,c^5-b^2\,c^4}+\frac{\left(\frac{4\,\left(6\,a^2\,c^5-14\,a\,b^2\,c^4+3\,b^4\,c^3\right)}{4\,a\,c^5-b^2\,c^4}+\frac{2\,\left(2\,b^3\,c^6-8\,a\,b\,c^7\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{\left(4\,a\,c^5-b^2\,c^4\right)\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{2\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}-\frac{\left(2\,b^3\,c^6-8\,a\,b\,c^7\right)\,{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{c^6\,{\left(4\,a\,c-b^2\right)}^3\,\left(4\,a\,c^5-b^2\,c^4\right)}\right)}{2\,a\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)+\frac{b\,\left(\frac{4\,a\,b^2}{c^4}+\frac{\left(\frac{16\,a\,b}{c}+\frac{8\,a\,c^2\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3}\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{2\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}-\frac{4\,a\,{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2}{c^4\,{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,a\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{72\,a^4\,c^4-144\,a^3\,b^2\,c^3+96\,a^2\,b^4\,c^2-24\,a\,b^6\,c+2\,b^8}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((a*(b^3 - 3*a*b*c))/(2*c*(4*a*c - b^2)) + (x^2*(b^4 + 2*a^2*c^2 - 4*a*b^2*c))/(2*c*(4*a*c - b^2)))/(a*c^2 + c^3*x^4 + b*c^2*x^2) + x^2/(2*c^2) + (log(a + b*x^2 + c*x^4)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(2*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) + (atan(((4*a*c^5*(4*a*c - b^2)^3 - b^2*c^4*(4*a*c - b^2)^3)*(((((16*a*b)/c + (8*a*c^2*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*c^3*(4*a*c - b^2)^(3/2)) + (4*a*(b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(c*(4*a*c - b^2)^(3/2)*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)))/(2*a*(4*a*c - b^2)) - x^2*(((((4*(6*a^2*c^5 + 3*b^4*c^3 - 14*a*b^2*c^4))/(4*a*c^5 - b^2*c^4) + (2*(2*b^3*c^6 - 8*a*b*c^7)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/((4*a*c^5 - b^2*c^4)*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*c^3*(4*a*c - b^2)^(3/2)) + ((2*b^3*c^6 - 8*a*b*c^7)*(b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(c^3*(4*a*c - b^2)^(3/2)*(4*a*c^5 - b^2*c^4)*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)))/(2*a*(4*a*c - b^2)) + (b*((4*(b^5 + 3*a^2*b*c^2 - 5*a*b^3*c))/(4*a*c^5 - b^2*c^4) + (((4*(6*a^2*c^5 + 3*b^4*c^3 - 14*a*b^2*c^4))/(4*a*c^5 - b^2*c^4) + (2*(2*b^3*c^6 - 8*a*b*c^7)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/((4*a*c^5 - b^2*c^4)*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)))*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(2*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) - ((2*b^3*c^6 - 8*a*b*c^7)*(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2)/(c^6*(4*a*c - b^2)^3*(4*a*c^5 - b^2*c^4))))/(2*a*(4*a*c - b^2)^(3/2))) + (b*((4*a*b^2)/c^4 + (((16*a*b)/c + (8*a*c^2*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5))*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(2*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) - (4*a*(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2)/(c^4*(4*a*c - b^2)^3)))/(2*a*(4*a*c - b^2)^(3/2))))/(2*b^8 + 72*a^4*c^4 + 96*a^2*b^4*c^2 - 144*a^3*b^2*c^3 - 24*a*b^6*c))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(c^3*(4*a*c - b^2)^(3/2))","B"
90,1,7599,331,3.755901,"\text{Not used}","int(x^10/(a*x + b*x^3 + c*x^5)^2,x)","\frac{\frac{b\,x^3\,\left(3\,a\,c-b^2\right)}{2\,\left(4\,a\,c-b^2\right)}+\frac{a\,x\,\left(2\,a\,c-b^2\right)}{2\,\left(4\,a\,c-b^2\right)}}{c^3\,x^4+b\,c^2\,x^2+a\,c^2}+\frac{x}{c^2}-\mathrm{atan}\left(\frac{\left(\left(\frac{10240\,a^5\,c^7-10752\,a^4\,b^2\,c^6+4224\,a^3\,b^4\,c^5-736\,a^2\,b^6\,c^4+48\,a\,b^8\,c^3}{8\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}-\frac{x\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-1024\,a^3\,b\,c^8+768\,a^2\,b^3\,c^7-192\,a\,b^5\,c^6+16\,b^7\,c^5\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}-\frac{x\,\left(200\,a^4\,c^4-718\,a^3\,b^2\,c^3+481\,a^2\,b^4\,c^2-114\,a\,b^6\,c+9\,b^8\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,1{}\mathrm{i}-\left(\left(\frac{10240\,a^5\,c^7-10752\,a^4\,b^2\,c^6+4224\,a^3\,b^4\,c^5-736\,a^2\,b^6\,c^4+48\,a\,b^8\,c^3}{8\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}+\frac{x\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-1024\,a^3\,b\,c^8+768\,a^2\,b^3\,c^7-192\,a\,b^5\,c^6+16\,b^7\,c^5\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\frac{x\,\left(200\,a^4\,c^4-718\,a^3\,b^2\,c^3+481\,a^2\,b^4\,c^2-114\,a\,b^6\,c+9\,b^8\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{10240\,a^5\,c^7-10752\,a^4\,b^2\,c^6+4224\,a^3\,b^4\,c^5-736\,a^2\,b^6\,c^4+48\,a\,b^8\,c^3}{8\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}-\frac{x\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-1024\,a^3\,b\,c^8+768\,a^2\,b^3\,c^7-192\,a\,b^5\,c^6+16\,b^7\,c^5\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}-\frac{x\,\left(200\,a^4\,c^4-718\,a^3\,b^2\,c^3+481\,a^2\,b^4\,c^2-114\,a\,b^6\,c+9\,b^8\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\left(\left(\frac{10240\,a^5\,c^7-10752\,a^4\,b^2\,c^6+4224\,a^3\,b^4\,c^5-736\,a^2\,b^6\,c^4+48\,a\,b^8\,c^3}{8\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}+\frac{x\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-1024\,a^3\,b\,c^8+768\,a^2\,b^3\,c^7-192\,a\,b^5\,c^6+16\,b^7\,c^5\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\frac{x\,\left(200\,a^4\,c^4-718\,a^3\,b^2\,c^3+481\,a^2\,b^4\,c^2-114\,a\,b^6\,c+9\,b^8\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\frac{1300\,a^5\,b\,c^2-573\,a^4\,b^3\,c+63\,a^3\,b^5}{4\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}}\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{10240\,a^5\,c^7-10752\,a^4\,b^2\,c^6+4224\,a^3\,b^4\,c^5-736\,a^2\,b^6\,c^4+48\,a\,b^8\,c^3}{8\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}-\frac{x\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-1024\,a^3\,b\,c^8+768\,a^2\,b^3\,c^7-192\,a\,b^5\,c^6+16\,b^7\,c^5\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}-\frac{x\,\left(200\,a^4\,c^4-718\,a^3\,b^2\,c^3+481\,a^2\,b^4\,c^2-114\,a\,b^6\,c+9\,b^8\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,1{}\mathrm{i}-\left(\left(\frac{10240\,a^5\,c^7-10752\,a^4\,b^2\,c^6+4224\,a^3\,b^4\,c^5-736\,a^2\,b^6\,c^4+48\,a\,b^8\,c^3}{8\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}+\frac{x\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-1024\,a^3\,b\,c^8+768\,a^2\,b^3\,c^7-192\,a\,b^5\,c^6+16\,b^7\,c^5\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\frac{x\,\left(200\,a^4\,c^4-718\,a^3\,b^2\,c^3+481\,a^2\,b^4\,c^2-114\,a\,b^6\,c+9\,b^8\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{10240\,a^5\,c^7-10752\,a^4\,b^2\,c^6+4224\,a^3\,b^4\,c^5-736\,a^2\,b^6\,c^4+48\,a\,b^8\,c^3}{8\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}-\frac{x\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-1024\,a^3\,b\,c^8+768\,a^2\,b^3\,c^7-192\,a\,b^5\,c^6+16\,b^7\,c^5\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}-\frac{x\,\left(200\,a^4\,c^4-718\,a^3\,b^2\,c^3+481\,a^2\,b^4\,c^2-114\,a\,b^6\,c+9\,b^8\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\left(\left(\frac{10240\,a^5\,c^7-10752\,a^4\,b^2\,c^6+4224\,a^3\,b^4\,c^5-736\,a^2\,b^6\,c^4+48\,a\,b^8\,c^3}{8\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}+\frac{x\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,\left(-1024\,a^3\,b\,c^8+768\,a^2\,b^3\,c^7-192\,a\,b^5\,c^6+16\,b^7\,c^5\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\frac{x\,\left(200\,a^4\,c^4-718\,a^3\,b^2\,c^3+481\,a^2\,b^4\,c^2-114\,a\,b^6\,c+9\,b^8\right)}{2\,\left(16\,a^2\,c^5-8\,a\,b^2\,c^4+b^4\,c^3\right)}\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}+\frac{1300\,a^5\,b\,c^2-573\,a^4\,b^3\,c+63\,a^3\,b^5}{4\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}}\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^{11}-6144\,a^5\,b^2\,c^{10}+3840\,a^4\,b^4\,c^9-1280\,a^3\,b^6\,c^8+240\,a^2\,b^8\,c^7-24\,a\,b^{10}\,c^6+b^{12}\,c^5\right)}}\,2{}\mathrm{i}","Not used",1,"((b*x^3*(3*a*c - b^2))/(2*(4*a*c - b^2)) + (a*x*(2*a*c - b^2))/(2*(4*a*c - b^2)))/(a*c^2 + c^3*x^4 + b*c^2*x^2) - atan(((((10240*a^5*c^7 + 48*a*b^8*c^3 - 736*a^2*b^6*c^4 + 4224*a^3*b^4*c^5 - 10752*a^4*b^2*c^6)/(8*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) - (x*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(16*b^7*c^5 - 192*a*b^5*c^6 - 1024*a^3*b*c^8 + 768*a^2*b^3*c^7))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) - (x*(9*b^8 + 200*a^4*c^4 + 481*a^2*b^4*c^2 - 718*a^3*b^2*c^3 - 114*a*b^6*c))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*1i - (((10240*a^5*c^7 + 48*a*b^8*c^3 - 736*a^2*b^6*c^4 + 4224*a^3*b^4*c^5 - 10752*a^4*b^2*c^6)/(8*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) + (x*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(16*b^7*c^5 - 192*a*b^5*c^6 - 1024*a^3*b*c^8 + 768*a^2*b^3*c^7))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (x*(9*b^8 + 200*a^4*c^4 + 481*a^2*b^4*c^2 - 718*a^3*b^2*c^3 - 114*a*b^6*c))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*1i)/((((10240*a^5*c^7 + 48*a*b^8*c^3 - 736*a^2*b^6*c^4 + 4224*a^3*b^4*c^5 - 10752*a^4*b^2*c^6)/(8*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) - (x*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(16*b^7*c^5 - 192*a*b^5*c^6 - 1024*a^3*b*c^8 + 768*a^2*b^3*c^7))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) - (x*(9*b^8 + 200*a^4*c^4 + 481*a^2*b^4*c^2 - 718*a^3*b^2*c^3 - 114*a*b^6*c))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (((10240*a^5*c^7 + 48*a*b^8*c^3 - 736*a^2*b^6*c^4 + 4224*a^3*b^4*c^5 - 10752*a^4*b^2*c^6)/(8*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) + (x*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(16*b^7*c^5 - 192*a*b^5*c^6 - 1024*a^3*b*c^8 + 768*a^2*b^3*c^7))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (x*(9*b^8 + 200*a^4*c^4 + 481*a^2*b^4*c^2 - 718*a^3*b^2*c^3 - 114*a*b^6*c))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (63*a^3*b^5 - 573*a^4*b^3*c + 1300*a^5*b*c^2)/(4*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5))))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*2i - atan(((((10240*a^5*c^7 + 48*a*b^8*c^3 - 736*a^2*b^6*c^4 + 4224*a^3*b^4*c^5 - 10752*a^4*b^2*c^6)/(8*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) - (x*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(16*b^7*c^5 - 192*a*b^5*c^6 - 1024*a^3*b*c^8 + 768*a^2*b^3*c^7))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) - (x*(9*b^8 + 200*a^4*c^4 + 481*a^2*b^4*c^2 - 718*a^3*b^2*c^3 - 114*a*b^6*c))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*1i - (((10240*a^5*c^7 + 48*a*b^8*c^3 - 736*a^2*b^6*c^4 + 4224*a^3*b^4*c^5 - 10752*a^4*b^2*c^6)/(8*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) + (x*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(16*b^7*c^5 - 192*a*b^5*c^6 - 1024*a^3*b*c^8 + 768*a^2*b^3*c^7))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (x*(9*b^8 + 200*a^4*c^4 + 481*a^2*b^4*c^2 - 718*a^3*b^2*c^3 - 114*a*b^6*c))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*1i)/((((10240*a^5*c^7 + 48*a*b^8*c^3 - 736*a^2*b^6*c^4 + 4224*a^3*b^4*c^5 - 10752*a^4*b^2*c^6)/(8*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) - (x*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(16*b^7*c^5 - 192*a*b^5*c^6 - 1024*a^3*b*c^8 + 768*a^2*b^3*c^7))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) - (x*(9*b^8 + 200*a^4*c^4 + 481*a^2*b^4*c^2 - 718*a^3*b^2*c^3 - 114*a*b^6*c))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (((10240*a^5*c^7 + 48*a*b^8*c^3 - 736*a^2*b^6*c^4 + 4224*a^3*b^4*c^5 - 10752*a^4*b^2*c^6)/(8*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) + (x*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*(16*b^7*c^5 - 192*a*b^5*c^6 - 1024*a^3*b*c^8 + 768*a^2*b^3*c^7))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (x*(9*b^8 + 200*a^4*c^4 + 481*a^2*b^4*c^2 - 718*a^3*b^2*c^3 - 114*a*b^6*c))/(2*(16*a^2*c^5 + b^4*c^3 - 8*a*b^2*c^4)))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2) + (63*a^3*b^5 - 573*a^4*b^3*c + 1300*a^5*b*c^2)/(4*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5))))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^11 + b^12*c^5 - 24*a*b^10*c^6 + 240*a^2*b^8*c^7 - 1280*a^3*b^6*c^8 + 3840*a^4*b^4*c^9 - 6144*a^5*b^2*c^10)))^(1/2)*2i + x/c^2","B"
91,1,1336,132,2.943206,"\text{Not used}","int(x^9/(a*x + b*x^3 + c*x^5)^2,x)","\frac{\frac{a\,\left(2\,a\,c-b^2\right)}{2\,c^2\,\left(4\,a\,c-b^2\right)}+\frac{b\,x^2\,\left(3\,a\,c-b^2\right)}{2\,c^2\,\left(4\,a\,c-b^2\right)}}{c\,x^4+b\,x^2+a}-\frac{\ln\left(c\,x^4+b\,x^2+a\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(256\,a^3\,c^5-192\,a^2\,b^2\,c^4+48\,a\,b^4\,c^3-4\,b^6\,c^2\right)}+\frac{b\,\mathrm{atan}\left(\frac{\left(8\,a\,c^3\,{\left(4\,a\,c-b^2\right)}^3-2\,b^2\,c^2\,{\left(4\,a\,c-b^2\right)}^3\right)\,\left(x^2\,\left(\frac{\frac{b\,\left(\frac{6\,b^3\,c^2-28\,a\,b\,c^3}{4\,a\,c^3-b^2\,c^2}+\frac{\left(8\,b^3\,c^4-32\,a\,b\,c^5\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(4\,a\,c^3-b^2\,c^2\right)\,\left(256\,a^3\,c^5-192\,a^2\,b^2\,c^4+48\,a\,b^4\,c^3-4\,b^6\,c^2\right)}\right)\,\left(6\,a\,c-b^2\right)}{8\,c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(8\,b^3\,c^4-32\,a\,b\,c^5\right)\,\left(6\,a\,c-b^2\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{16\,c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(4\,a\,c^3-b^2\,c^2\right)\,\left(256\,a^3\,c^5-192\,a^2\,b^2\,c^4+48\,a\,b^4\,c^3-4\,b^6\,c^2\right)}}{a\,\left(4\,a\,c-b^2\right)}-\frac{b\,\left(\frac{b^3-5\,a\,b\,c}{4\,a\,c^3-b^2\,c^2}+\frac{\left(\frac{6\,b^3\,c^2-28\,a\,b\,c^3}{4\,a\,c^3-b^2\,c^2}+\frac{\left(8\,b^3\,c^4-32\,a\,b\,c^5\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(4\,a\,c^3-b^2\,c^2\right)\,\left(256\,a^3\,c^5-192\,a^2\,b^2\,c^4+48\,a\,b^4\,c^3-4\,b^6\,c^2\right)}\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(256\,a^3\,c^5-192\,a^2\,b^2\,c^4+48\,a\,b^4\,c^3-4\,b^6\,c^2\right)}-\frac{b^2\,\left(\frac{b^3\,c^4}{2}-2\,a\,b\,c^5\right)\,{\left(6\,a\,c-b^2\right)}^2}{c^4\,{\left(4\,a\,c-b^2\right)}^3\,\left(4\,a\,c^3-b^2\,c^2\right)}\right)}{2\,a\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)-\frac{\frac{b\,\left(6\,a\,c-b^2\right)\,\left(8\,a+\frac{8\,a\,c^2\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{256\,a^3\,c^5-192\,a^2\,b^2\,c^4+48\,a\,b^4\,c^3-4\,b^6\,c^2}\right)}{8\,c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{a\,b\,\left(6\,a\,c-b^2\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(256\,a^3\,c^5-192\,a^2\,b^2\,c^4+48\,a\,b^4\,c^3-4\,b^6\,c^2\right)}}{a\,\left(4\,a\,c-b^2\right)}+\frac{b\,\left(\frac{a}{c^2}+\frac{\left(8\,a+\frac{8\,a\,c^2\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{256\,a^3\,c^5-192\,a^2\,b^2\,c^4+48\,a\,b^4\,c^3-4\,b^6\,c^2}\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(256\,a^3\,c^5-192\,a^2\,b^2\,c^4+48\,a\,b^4\,c^3-4\,b^6\,c^2\right)}-\frac{a\,b^2\,{\left(6\,a\,c-b^2\right)}^2}{c^2\,{\left(4\,a\,c-b^2\right)}^3}\right)}{2\,a\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)}{36\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}\right)\,\left(6\,a\,c-b^2\right)}{2\,c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((a*(2*a*c - b^2))/(2*c^2*(4*a*c - b^2)) + (b*x^2*(3*a*c - b^2))/(2*c^2*(4*a*c - b^2)))/(a + b*x^2 + c*x^4) - (log(a + b*x^2 + c*x^4)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(256*a^3*c^5 - 4*b^6*c^2 + 48*a*b^4*c^3 - 192*a^2*b^2*c^4)) + (b*atan(((8*a*c^3*(4*a*c - b^2)^3 - 2*b^2*c^2*(4*a*c - b^2)^3)*(x^2*(((b*((6*b^3*c^2 - 28*a*b*c^3)/(4*a*c^3 - b^2*c^2) + ((8*b^3*c^4 - 32*a*b*c^5)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(4*a*c^3 - b^2*c^2)*(256*a^3*c^5 - 4*b^6*c^2 + 48*a*b^4*c^3 - 192*a^2*b^2*c^4)))*(6*a*c - b^2))/(8*c^2*(4*a*c - b^2)^(3/2)) + (b*(8*b^3*c^4 - 32*a*b*c^5)*(6*a*c - b^2)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(16*c^2*(4*a*c - b^2)^(3/2)*(4*a*c^3 - b^2*c^2)*(256*a^3*c^5 - 4*b^6*c^2 + 48*a*b^4*c^3 - 192*a^2*b^2*c^4)))/(a*(4*a*c - b^2)) - (b*((b^3 - 5*a*b*c)/(4*a*c^3 - b^2*c^2) + (((6*b^3*c^2 - 28*a*b*c^3)/(4*a*c^3 - b^2*c^2) + ((8*b^3*c^4 - 32*a*b*c^5)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(4*a*c^3 - b^2*c^2)*(256*a^3*c^5 - 4*b^6*c^2 + 48*a*b^4*c^3 - 192*a^2*b^2*c^4)))*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(256*a^3*c^5 - 4*b^6*c^2 + 48*a*b^4*c^3 - 192*a^2*b^2*c^4)) - (b^2*((b^3*c^4)/2 - 2*a*b*c^5)*(6*a*c - b^2)^2)/(c^4*(4*a*c - b^2)^3*(4*a*c^3 - b^2*c^2))))/(2*a*(4*a*c - b^2)^(3/2))) - ((b*(6*a*c - b^2)*(8*a + (8*a*c^2*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(256*a^3*c^5 - 4*b^6*c^2 + 48*a*b^4*c^3 - 192*a^2*b^2*c^4)))/(8*c^2*(4*a*c - b^2)^(3/2)) + (a*b*(6*a*c - b^2)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/((4*a*c - b^2)^(3/2)*(256*a^3*c^5 - 4*b^6*c^2 + 48*a*b^4*c^3 - 192*a^2*b^2*c^4)))/(a*(4*a*c - b^2)) + (b*(a/c^2 + ((8*a + (8*a*c^2*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(256*a^3*c^5 - 4*b^6*c^2 + 48*a*b^4*c^3 - 192*a^2*b^2*c^4))*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(256*a^3*c^5 - 4*b^6*c^2 + 48*a*b^4*c^3 - 192*a^2*b^2*c^4)) - (a*b^2*(6*a*c - b^2)^2)/(c^2*(4*a*c - b^2)^3)))/(2*a*(4*a*c - b^2)^(3/2))))/(b^6 + 36*a^2*b^2*c^2 - 12*a*b^4*c))*(6*a*c - b^2))/(2*c^2*(4*a*c - b^2)^(3/2))","B"
92,1,6293,271,3.857852,"\text{Not used}","int(x^8/(a*x + b*x^3 + c*x^5)^2,x)","-\frac{\frac{x^3\,\left(2\,a\,c-b^2\right)}{2\,c\,\left(4\,a\,c-b^2\right)}-\frac{a\,b\,x}{2\,c\,\left(4\,a\,c-b^2\right)}}{c\,x^4+b\,x^2+a}-\mathrm{atan}\left(\frac{\left(\left(\frac{-1024\,a^4\,b\,c^5+768\,a^3\,b^3\,c^4-192\,a^2\,b^5\,c^3+16\,a\,b^7\,c^2}{8\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}-\frac{x\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-1024\,a^3\,b\,c^6+768\,a^2\,b^3\,c^5-192\,a\,b^5\,c^4+16\,b^7\,c^3\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{x\,\left(-72\,a^3\,c^3+74\,a^2\,b^2\,c^2-16\,a\,b^4\,c+b^6\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-1024\,a^4\,b\,c^5+768\,a^3\,b^3\,c^4-192\,a^2\,b^5\,c^3+16\,a\,b^7\,c^2}{8\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}+\frac{x\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-1024\,a^3\,b\,c^6+768\,a^2\,b^3\,c^5-192\,a\,b^5\,c^4+16\,b^7\,c^3\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{x\,\left(-72\,a^3\,c^3+74\,a^2\,b^2\,c^2-16\,a\,b^4\,c+b^6\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{-1024\,a^4\,b\,c^5+768\,a^3\,b^3\,c^4-192\,a^2\,b^5\,c^3+16\,a\,b^7\,c^2}{8\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}-\frac{x\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-1024\,a^3\,b\,c^6+768\,a^2\,b^3\,c^5-192\,a\,b^5\,c^4+16\,b^7\,c^3\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{x\,\left(-72\,a^3\,c^3+74\,a^2\,b^2\,c^2-16\,a\,b^4\,c+b^6\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\left(\left(\frac{-1024\,a^4\,b\,c^5+768\,a^3\,b^3\,c^4-192\,a^2\,b^5\,c^3+16\,a\,b^7\,c^2}{8\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}+\frac{x\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-1024\,a^3\,b\,c^6+768\,a^2\,b^3\,c^5-192\,a\,b^5\,c^4+16\,b^7\,c^3\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{x\,\left(-72\,a^3\,c^3+74\,a^2\,b^2\,c^2-16\,a\,b^4\,c+b^6\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{216\,a^4\,c^2-66\,a^3\,b^2\,c+5\,a^2\,b^4}{4\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{-1024\,a^4\,b\,c^5+768\,a^3\,b^3\,c^4-192\,a^2\,b^5\,c^3+16\,a\,b^7\,c^2}{8\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}-\frac{x\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-1024\,a^3\,b\,c^6+768\,a^2\,b^3\,c^5-192\,a\,b^5\,c^4+16\,b^7\,c^3\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{x\,\left(-72\,a^3\,c^3+74\,a^2\,b^2\,c^2-16\,a\,b^4\,c+b^6\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-1024\,a^4\,b\,c^5+768\,a^3\,b^3\,c^4-192\,a^2\,b^5\,c^3+16\,a\,b^7\,c^2}{8\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}+\frac{x\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-1024\,a^3\,b\,c^6+768\,a^2\,b^3\,c^5-192\,a\,b^5\,c^4+16\,b^7\,c^3\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{x\,\left(-72\,a^3\,c^3+74\,a^2\,b^2\,c^2-16\,a\,b^4\,c+b^6\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{-1024\,a^4\,b\,c^5+768\,a^3\,b^3\,c^4-192\,a^2\,b^5\,c^3+16\,a\,b^7\,c^2}{8\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}-\frac{x\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-1024\,a^3\,b\,c^6+768\,a^2\,b^3\,c^5-192\,a\,b^5\,c^4+16\,b^7\,c^3\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}-\frac{x\,\left(-72\,a^3\,c^3+74\,a^2\,b^2\,c^2-16\,a\,b^4\,c+b^6\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\left(\left(\frac{-1024\,a^4\,b\,c^5+768\,a^3\,b^3\,c^4-192\,a^2\,b^5\,c^3+16\,a\,b^7\,c^2}{8\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}+\frac{x\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,\left(-1024\,a^3\,b\,c^6+768\,a^2\,b^3\,c^5-192\,a\,b^5\,c^4+16\,b^7\,c^3\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{x\,\left(-72\,a^3\,c^3+74\,a^2\,b^2\,c^2-16\,a\,b^4\,c+b^6\right)}{2\,\left(16\,a^2\,c^3-8\,a\,b^2\,c^2+b^4\,c\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}+\frac{216\,a^4\,c^2-66\,a^3\,b^2\,c+5\,a^2\,b^4}{4\,\left(-64\,a^3\,c^4+48\,a^2\,b^2\,c^3-12\,a\,b^4\,c^2+b^6\,c\right)}}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^6\,c^9-6144\,a^5\,b^2\,c^8+3840\,a^4\,b^4\,c^7-1280\,a^3\,b^6\,c^6+240\,a^2\,b^8\,c^5-24\,a\,b^{10}\,c^4+b^{12}\,c^3\right)}}\,2{}\mathrm{i}","Not used",1,"- ((x^3*(2*a*c - b^2))/(2*c*(4*a*c - b^2)) - (a*b*x)/(2*c*(4*a*c - b^2)))/(a + b*x^2 + c*x^4) - atan(((((16*a*b^7*c^2 - 1024*a^4*b*c^5 - 192*a^2*b^5*c^3 + 768*a^3*b^3*c^4)/(8*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) - (x*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(16*b^7*c^3 - 192*a*b^5*c^4 - 1024*a^3*b*c^6 + 768*a^2*b^3*c^5))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - (x*(b^6 - 72*a^3*c^3 + 74*a^2*b^2*c^2 - 16*a*b^4*c))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*1i - (((16*a*b^7*c^2 - 1024*a^4*b*c^5 - 192*a^2*b^5*c^3 + 768*a^3*b^3*c^4)/(8*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) + (x*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(16*b^7*c^3 - 192*a*b^5*c^4 - 1024*a^3*b*c^6 + 768*a^2*b^3*c^5))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (x*(b^6 - 72*a^3*c^3 + 74*a^2*b^2*c^2 - 16*a*b^4*c))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*1i)/((((16*a*b^7*c^2 - 1024*a^4*b*c^5 - 192*a^2*b^5*c^3 + 768*a^3*b^3*c^4)/(8*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) - (x*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(16*b^7*c^3 - 192*a*b^5*c^4 - 1024*a^3*b*c^6 + 768*a^2*b^3*c^5))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - (x*(b^6 - 72*a^3*c^3 + 74*a^2*b^2*c^2 - 16*a*b^4*c))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (((16*a*b^7*c^2 - 1024*a^4*b*c^5 - 192*a^2*b^5*c^3 + 768*a^3*b^3*c^4)/(8*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) + (x*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(16*b^7*c^3 - 192*a*b^5*c^4 - 1024*a^3*b*c^6 + 768*a^2*b^3*c^5))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (x*(b^6 - 72*a^3*c^3 + 74*a^2*b^2*c^2 - 16*a*b^4*c))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (5*a^2*b^4 + 216*a^4*c^2 - 66*a^3*b^2*c)/(4*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3))))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*2i - atan(((((16*a*b^7*c^2 - 1024*a^4*b*c^5 - 192*a^2*b^5*c^3 + 768*a^3*b^3*c^4)/(8*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) - (x*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(16*b^7*c^3 - 192*a*b^5*c^4 - 1024*a^3*b*c^6 + 768*a^2*b^3*c^5))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - (x*(b^6 - 72*a^3*c^3 + 74*a^2*b^2*c^2 - 16*a*b^4*c))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*1i - (((16*a*b^7*c^2 - 1024*a^4*b*c^5 - 192*a^2*b^5*c^3 + 768*a^3*b^3*c^4)/(8*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) + (x*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(16*b^7*c^3 - 192*a*b^5*c^4 - 1024*a^3*b*c^6 + 768*a^2*b^3*c^5))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (x*(b^6 - 72*a^3*c^3 + 74*a^2*b^2*c^2 - 16*a*b^4*c))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*1i)/((((16*a*b^7*c^2 - 1024*a^4*b*c^5 - 192*a^2*b^5*c^3 + 768*a^3*b^3*c^4)/(8*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) - (x*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(16*b^7*c^3 - 192*a*b^5*c^4 - 1024*a^3*b*c^6 + 768*a^2*b^3*c^5))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) - (x*(b^6 - 72*a^3*c^3 + 74*a^2*b^2*c^2 - 16*a*b^4*c))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (((16*a*b^7*c^2 - 1024*a^4*b*c^5 - 192*a^2*b^5*c^3 + 768*a^3*b^3*c^4)/(8*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3)) + (x*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*(16*b^7*c^3 - 192*a*b^5*c^4 - 1024*a^3*b*c^6 + 768*a^2*b^3*c^5))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (x*(b^6 - 72*a^3*c^3 + 74*a^2*b^2*c^2 - 16*a*b^4*c))/(2*(b^4*c + 16*a^2*c^3 - 8*a*b^2*c^2)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2) + (5*a^2*b^4 + 216*a^4*c^2 - 66*a^3*b^2*c)/(4*(b^6*c - 64*a^3*c^4 - 12*a*b^4*c^2 + 48*a^2*b^2*c^3))))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(4096*a^6*c^9 + b^12*c^3 - 24*a*b^10*c^4 + 240*a^2*b^8*c^5 - 1280*a^3*b^6*c^6 + 3840*a^4*b^4*c^7 - 6144*a^5*b^2*c^8)))^(1/2)*2i","B"
93,1,187,78,2.196850,"\text{Not used}","int(x^7/(a*x + b*x^3 + c*x^5)^2,x)","-\frac{\frac{x^2\,\left(2\,a\,c-b^2\right)}{2\,c\,\left(4\,a\,c-b^2\right)}-\frac{a\,b}{2\,c\,\left(4\,a\,c-b^2\right)}}{c\,x^4+b\,x^2+a}-\frac{2\,a\,\mathrm{atan}\left(\frac{b^3-4\,a\,b\,c}{{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{x^2\,\left(\frac{4\,a\,c^2}{{\left(4\,a\,c-b^2\right)}^{7/2}}+\frac{4\,a\,\left(b^3\,c^2-4\,a\,b\,c^3\right)\,\left(b^3-4\,a\,b\,c\right)}{{\left(4\,a\,c-b^2\right)}^{13/2}}\right)\,{\left(4\,a\,c-b^2\right)}^4}{8\,a^2\,c^2}\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"- ((x^2*(2*a*c - b^2))/(2*c*(4*a*c - b^2)) - (a*b)/(2*c*(4*a*c - b^2)))/(a + b*x^2 + c*x^4) - (2*a*atan((b^3 - 4*a*b*c)/(4*a*c - b^2)^(3/2) - (x^2*((4*a*c^2)/(4*a*c - b^2)^(7/2) + (4*a*(b^3*c^2 - 4*a*b*c^3)*(b^3 - 4*a*b*c))/(4*a*c - b^2)^(13/2))*(4*a*c - b^2)^4)/(8*a^2*c^2)))/(4*a*c - b^2)^(3/2)","B"
94,1,4973,237,3.635466,"\text{Not used}","int(x^6/(a*x + b*x^3 + c*x^5)^2,x)","-\frac{\frac{a\,x}{4\,a\,c-b^2}+\frac{b\,x^3}{2\,\left(4\,a\,c-b^2\right)}}{c\,x^4+b\,x^2+a}-\mathrm{atan}\left(\frac{\left(\left(\frac{2048\,a^4\,c^5-1536\,a^3\,b^2\,c^4+384\,a^2\,b^4\,c^3-32\,a\,b^6\,c^2}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-1024\,a^3\,b\,c^5+768\,a^2\,b^3\,c^4-192\,a\,b^5\,c^3+16\,b^7\,c^2\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}-\frac{x\,\left(8\,a^2\,c^3+2\,a\,b^2\,c^2+b^4\,c\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,1{}\mathrm{i}-\left(\left(\frac{2048\,a^4\,c^5-1536\,a^3\,b^2\,c^4+384\,a^2\,b^4\,c^3-32\,a\,b^6\,c^2}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-1024\,a^3\,b\,c^5+768\,a^2\,b^3\,c^4-192\,a\,b^5\,c^3+16\,b^7\,c^2\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}+\frac{x\,\left(8\,a^2\,c^3+2\,a\,b^2\,c^2+b^4\,c\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{2048\,a^4\,c^5-1536\,a^3\,b^2\,c^4+384\,a^2\,b^4\,c^3-32\,a\,b^6\,c^2}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-1024\,a^3\,b\,c^5+768\,a^2\,b^3\,c^4-192\,a\,b^5\,c^3+16\,b^7\,c^2\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}-\frac{x\,\left(8\,a^2\,c^3+2\,a\,b^2\,c^2+b^4\,c\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}-\frac{4\,a^2\,b\,c^2+3\,a\,b^3\,c}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\left(\frac{2048\,a^4\,c^5-1536\,a^3\,b^2\,c^4+384\,a^2\,b^4\,c^3-32\,a\,b^6\,c^2}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-1024\,a^3\,b\,c^5+768\,a^2\,b^3\,c^4-192\,a\,b^5\,c^3+16\,b^7\,c^2\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}+\frac{x\,\left(8\,a^2\,c^3+2\,a\,b^2\,c^2+b^4\,c\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{2048\,a^4\,c^5-1536\,a^3\,b^2\,c^4+384\,a^2\,b^4\,c^3-32\,a\,b^6\,c^2}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-1024\,a^3\,b\,c^5+768\,a^2\,b^3\,c^4-192\,a\,b^5\,c^3+16\,b^7\,c^2\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}-\frac{x\,\left(8\,a^2\,c^3+2\,a\,b^2\,c^2+b^4\,c\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,1{}\mathrm{i}-\left(\left(\frac{2048\,a^4\,c^5-1536\,a^3\,b^2\,c^4+384\,a^2\,b^4\,c^3-32\,a\,b^6\,c^2}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-1024\,a^3\,b\,c^5+768\,a^2\,b^3\,c^4-192\,a\,b^5\,c^3+16\,b^7\,c^2\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}+\frac{x\,\left(8\,a^2\,c^3+2\,a\,b^2\,c^2+b^4\,c\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{2048\,a^4\,c^5-1536\,a^3\,b^2\,c^4+384\,a^2\,b^4\,c^3-32\,a\,b^6\,c^2}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-1024\,a^3\,b\,c^5+768\,a^2\,b^3\,c^4-192\,a\,b^5\,c^3+16\,b^7\,c^2\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}-\frac{x\,\left(8\,a^2\,c^3+2\,a\,b^2\,c^2+b^4\,c\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}+\left(\left(\frac{2048\,a^4\,c^5-1536\,a^3\,b^2\,c^4+384\,a^2\,b^4\,c^3-32\,a\,b^6\,c^2}{8\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,\left(-1024\,a^3\,b\,c^5+768\,a^2\,b^3\,c^4-192\,a\,b^5\,c^3+16\,b^7\,c^2\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}+\frac{x\,\left(8\,a^2\,c^3+2\,a\,b^2\,c^2+b^4\,c\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}-\frac{4\,a^2\,b\,c^2+3\,a\,b^3\,c}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^6\,c^7-6144\,a^5\,b^2\,c^6+3840\,a^4\,b^4\,c^5-1280\,a^3\,b^6\,c^4+240\,a^2\,b^8\,c^3-24\,a\,b^{10}\,c^2+b^{12}\,c\right)}}\,2{}\mathrm{i}","Not used",1,"- atan(((((2048*a^4*c^5 - 32*a*b^6*c^2 + 384*a^2*b^4*c^3 - 1536*a^3*b^2*c^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(16*b^7*c^2 - 192*a*b^5*c^3 - 1024*a^3*b*c^5 + 768*a^2*b^3*c^4))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) - (x*(b^4*c + 8*a^2*c^3 + 2*a*b^2*c^2))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*1i - (((2048*a^4*c^5 - 32*a*b^6*c^2 + 384*a^2*b^4*c^3 - 1536*a^3*b^2*c^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(16*b^7*c^2 - 192*a*b^5*c^3 - 1024*a^3*b*c^5 + 768*a^2*b^3*c^4))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) + (x*(b^4*c + 8*a^2*c^3 + 2*a*b^2*c^2))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*1i)/((((2048*a^4*c^5 - 32*a*b^6*c^2 + 384*a^2*b^4*c^3 - 1536*a^3*b^2*c^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(16*b^7*c^2 - 192*a*b^5*c^3 - 1024*a^3*b*c^5 + 768*a^2*b^3*c^4))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) - (x*(b^4*c + 8*a^2*c^3 + 2*a*b^2*c^2))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) - (4*a^2*b*c^2 + 3*a*b^3*c)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (((2048*a^4*c^5 - 32*a*b^6*c^2 + 384*a^2*b^4*c^3 - 1536*a^3*b^2*c^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(16*b^7*c^2 - 192*a*b^5*c^3 - 1024*a^3*b*c^5 + 768*a^2*b^3*c^4))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) + (x*(b^4*c + 8*a^2*c^3 + 2*a*b^2*c^2))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*2i - atan(((((2048*a^4*c^5 - 32*a*b^6*c^2 + 384*a^2*b^4*c^3 - 1536*a^3*b^2*c^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(16*b^7*c^2 - 192*a*b^5*c^3 - 1024*a^3*b*c^5 + 768*a^2*b^3*c^4))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) - (x*(b^4*c + 8*a^2*c^3 + 2*a*b^2*c^2))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*1i - (((2048*a^4*c^5 - 32*a*b^6*c^2 + 384*a^2*b^4*c^3 - 1536*a^3*b^2*c^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(16*b^7*c^2 - 192*a*b^5*c^3 - 1024*a^3*b*c^5 + 768*a^2*b^3*c^4))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) + (x*(b^4*c + 8*a^2*c^3 + 2*a*b^2*c^2))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*1i)/((((2048*a^4*c^5 - 32*a*b^6*c^2 + 384*a^2*b^4*c^3 - 1536*a^3*b^2*c^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(16*b^7*c^2 - 192*a*b^5*c^3 - 1024*a^3*b*c^5 + 768*a^2*b^3*c^4))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) - (x*(b^4*c + 8*a^2*c^3 + 2*a*b^2*c^2))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) + (((2048*a^4*c^5 - 32*a*b^6*c^2 + 384*a^2*b^4*c^3 - 1536*a^3*b^2*c^4)/(8*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*(16*b^7*c^2 - 192*a*b^5*c^3 - 1024*a^3*b*c^5 + 768*a^2*b^3*c^4))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) + (x*(b^4*c + 8*a^2*c^3 + 2*a*b^2*c^2))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2) - (4*a^2*b*c^2 + 3*a*b^3*c)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c))))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(b^12*c + 4096*a^6*c^7 - 24*a*b^10*c^2 + 240*a^2*b^8*c^3 - 1280*a^3*b^6*c^4 + 3840*a^4*b^4*c^5 - 6144*a^5*b^2*c^6)))^(1/2)*2i - ((a*x)/(4*a*c - b^2) + (b*x^3)/(2*(4*a*c - b^2)))/(a + b*x^2 + c*x^4)","B"
95,1,178,75,0.143815,"\text{Not used}","int(x^5/(a*x + b*x^3 + c*x^5)^2,x)","\frac{b\,\mathrm{atan}\left(\frac{b^3-4\,a\,b\,c}{{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{x^2\,{\left(4\,a\,c-b^2\right)}^4\,\left(\frac{b^2\,c^2}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}+\frac{b^2\,\left(2\,b^3\,c^2-8\,a\,b\,c^3\right)\,\left(b^3-4\,a\,b\,c\right)}{2\,a\,{\left(4\,a\,c-b^2\right)}^{13/2}}\right)}{2\,b^2\,c^2}\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\frac{a}{4\,a\,c-b^2}+\frac{b\,x^2}{2\,\left(4\,a\,c-b^2\right)}}{c\,x^4+b\,x^2+a}","Not used",1,"(b*atan((b^3 - 4*a*b*c)/(4*a*c - b^2)^(3/2) - (x^2*(4*a*c - b^2)^4*((b^2*c^2)/(a*(4*a*c - b^2)^(7/2)) + (b^2*(2*b^3*c^2 - 8*a*b*c^3)*(b^3 - 4*a*b*c))/(2*a*(4*a*c - b^2)^(13/2))))/(2*b^2*c^2)))/(4*a*c - b^2)^(3/2) - (a/(4*a*c - b^2) + (b*x^2)/(2*(4*a*c - b^2)))/(a + b*x^2 + c*x^4)","B"
96,1,4854,221,3.363273,"\text{Not used}","int(x^4/(a*x + b*x^3 + c*x^5)^2,x)","\frac{\frac{b\,x}{2\,\left(4\,a\,c-b^2\right)}+\frac{c\,x^3}{4\,a\,c-b^2}}{c\,x^4+b\,x^2+a}+\mathrm{atan}\left(\frac{\left(\left(\frac{-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,\left(-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}-\frac{x\,\left(4\,a\,c^4-5\,b^2\,c^3\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,\left(-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}+\frac{x\,\left(4\,a\,c^4-5\,b^2\,c^3\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,1{}\mathrm{i}}{\frac{3\,b^2\,c^3+4\,a\,c^4}{2\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\left(\frac{-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,\left(-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}-\frac{x\,\left(4\,a\,c^4-5\,b^2\,c^3\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}+\left(\left(\frac{-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,\left(-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}+\frac{x\,\left(4\,a\,c^4-5\,b^2\,c^3\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}}\right)\,\sqrt{\frac{\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-b^9+768\,a^4\,b\,c^4+96\,a^2\,b^5\,c^2-512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,\left(-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}-\frac{x\,\left(4\,a\,c^4-5\,b^2\,c^3\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,\left(-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}+\frac{x\,\left(4\,a\,c^4-5\,b^2\,c^3\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,1{}\mathrm{i}}{\frac{3\,b^2\,c^3+4\,a\,c^4}{2\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\left(\left(\frac{-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,\left(-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}-\frac{x\,\left(4\,a\,c^4-5\,b^2\,c^3\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}+\left(\left(\frac{-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2}{4\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}-\frac{x\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,\left(-512\,a^3\,b\,c^5+384\,a^2\,b^3\,c^4-96\,a\,b^5\,c^3+8\,b^7\,c^2\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}+\frac{x\,\left(4\,a\,c^4-5\,b^2\,c^3\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}}\right)\,\sqrt{-\frac{b^9+\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-768\,a^4\,b\,c^4-96\,a^2\,b^5\,c^2+512\,a^3\,b^3\,c^3}{32\,\left(4096\,a^7\,c^6-6144\,a^6\,b^2\,c^5+3840\,a^5\,b^4\,c^4-1280\,a^4\,b^6\,c^3+240\,a^3\,b^8\,c^2-24\,a^2\,b^{10}\,c+a\,b^{12}\right)}}\,2{}\mathrm{i}","Not used",1,"atan(((((8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*(8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2) - (x*(4*a*c^4 - 5*b^2*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*1i - (((8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*(8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2) + (x*(4*a*c^4 - 5*b^2*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*1i)/((4*a*c^4 + 3*b^2*c^3)/(2*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (((8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*(8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2) - (x*(4*a*c^4 - 5*b^2*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2) + (((8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*(8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2) + (x*(4*a*c^4 - 5*b^2*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)))*(((-(4*a*c - b^2)^9)^(1/2) - b^9 + 768*a^4*b*c^4 + 96*a^2*b^5*c^2 - 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*2i + atan(((((8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*(8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2) - (x*(4*a*c^4 - 5*b^2*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*1i - (((8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*(8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2) + (x*(4*a*c^4 - 5*b^2*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*1i)/((4*a*c^4 + 3*b^2*c^3)/(2*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (((8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*(8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2) - (x*(4*a*c^4 - 5*b^2*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2) + (((8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4)/(4*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) - (x*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*(8*b^7*c^2 - 96*a*b^5*c^3 - 512*a^3*b*c^5 + 384*a^2*b^3*c^4))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2) + (x*(4*a*c^4 - 5*b^2*c^3))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)))*(-(b^9 + (-(4*a*c - b^2)^9)^(1/2) - 768*a^4*b*c^4 - 96*a^2*b^5*c^2 + 512*a^3*b^3*c^3)/(32*(a*b^12 + 4096*a^7*c^6 - 24*a^2*b^10*c + 240*a^3*b^8*c^2 - 1280*a^4*b^6*c^3 + 3840*a^5*b^4*c^4 - 6144*a^6*b^2*c^5)))^(1/2)*2i + ((b*x)/(2*(4*a*c - b^2)) + (c*x^3)/(4*a*c - b^2))/(a + b*x^2 + c*x^4)","B"
97,1,172,74,2.160027,"\text{Not used}","int(x^3/(a*x + b*x^3 + c*x^5)^2,x)","\frac{\frac{b}{2\,\left(4\,a\,c-b^2\right)}+\frac{c\,x^2}{4\,a\,c-b^2}}{c\,x^4+b\,x^2+a}-\frac{2\,c\,\mathrm{atan}\left(\frac{b^3-4\,a\,b\,c}{{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{x^2\,{\left(4\,a\,c-b^2\right)}^4\,\left(\frac{4\,c^4}{a\,{\left(4\,a\,c-b^2\right)}^{7/2}}+\frac{4\,c^2\,\left(b^3\,c^2-4\,a\,b\,c^3\right)\,\left(b^3-4\,a\,b\,c\right)}{a\,{\left(4\,a\,c-b^2\right)}^{13/2}}\right)}{8\,c^4}\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"(b/(2*(4*a*c - b^2)) + (c*x^2)/(4*a*c - b^2))/(a + b*x^2 + c*x^4) - (2*c*atan((b^3 - 4*a*b*c)/(4*a*c - b^2)^(3/2) - (x^2*(4*a*c - b^2)^4*((4*c^4)/(a*(4*a*c - b^2)^(7/2)) + (4*c^2*(b^3*c^2 - 4*a*b*c^3)*(b^3 - 4*a*b*c))/(a*(4*a*c - b^2)^(13/2))))/(8*c^4)))/(4*a*c - b^2)^(3/2)","B"
98,1,6404,252,3.846783,"\text{Not used}","int(x^2/(a*x + b*x^3 + c*x^5)^2,x)","\frac{\frac{x\,\left(2\,a\,c-b^2\right)}{2\,a\,\left(4\,a\,c-b^2\right)}-\frac{b\,c\,x^3}{2\,a\,\left(4\,a\,c-b^2\right)}}{c\,x^4+b\,x^2+a}+\mathrm{atan}\left(\frac{\left(\left(\frac{6144\,a^5\,c^6-5632\,a^4\,b^2\,c^5+1920\,a^3\,b^4\,c^4-288\,a^2\,b^6\,c^3+16\,a\,b^8\,c^2}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(1024\,a^5\,b\,c^5-768\,a^4\,b^3\,c^4+192\,a^3\,b^5\,c^3-16\,a^2\,b^7\,c^2\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\frac{x\,\left(72\,a^2\,c^5-14\,a\,b^2\,c^4+b^4\,c^3\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{6144\,a^5\,c^6-5632\,a^4\,b^2\,c^5+1920\,a^3\,b^4\,c^4-288\,a^2\,b^6\,c^3+16\,a\,b^8\,c^2}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}+\frac{x\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(1024\,a^5\,b\,c^5-768\,a^4\,b^3\,c^4+192\,a^3\,b^5\,c^3-16\,a^2\,b^7\,c^2\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}-\frac{x\,\left(72\,a^2\,c^5-14\,a\,b^2\,c^4+b^4\,c^3\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{6144\,a^5\,c^6-5632\,a^4\,b^2\,c^5+1920\,a^3\,b^4\,c^4-288\,a^2\,b^6\,c^3+16\,a\,b^8\,c^2}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(1024\,a^5\,b\,c^5-768\,a^4\,b^3\,c^4+192\,a^3\,b^5\,c^3-16\,a^2\,b^7\,c^2\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\frac{x\,\left(72\,a^2\,c^5-14\,a\,b^2\,c^4+b^4\,c^3\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\left(\left(\frac{6144\,a^5\,c^6-5632\,a^4\,b^2\,c^5+1920\,a^3\,b^4\,c^4-288\,a^2\,b^6\,c^3+16\,a\,b^8\,c^2}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}+\frac{x\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(1024\,a^5\,b\,c^5-768\,a^4\,b^3\,c^4+192\,a^3\,b^5\,c^3-16\,a^2\,b^7\,c^2\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}-\frac{x\,\left(72\,a^2\,c^5-14\,a\,b^2\,c^4+b^4\,c^3\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\frac{5\,b^3\,c^4-36\,a\,b\,c^5}{4\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}}\right)\,\sqrt{-\frac{b^{11}+b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c-9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{6144\,a^5\,c^6-5632\,a^4\,b^2\,c^5+1920\,a^3\,b^4\,c^4-288\,a^2\,b^6\,c^3+16\,a\,b^8\,c^2}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(1024\,a^5\,b\,c^5-768\,a^4\,b^3\,c^4+192\,a^3\,b^5\,c^3-16\,a^2\,b^7\,c^2\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\frac{x\,\left(72\,a^2\,c^5-14\,a\,b^2\,c^4+b^4\,c^3\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,1{}\mathrm{i}-\left(\left(\frac{6144\,a^5\,c^6-5632\,a^4\,b^2\,c^5+1920\,a^3\,b^4\,c^4-288\,a^2\,b^6\,c^3+16\,a\,b^8\,c^2}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}+\frac{x\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(1024\,a^5\,b\,c^5-768\,a^4\,b^3\,c^4+192\,a^3\,b^5\,c^3-16\,a^2\,b^7\,c^2\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}-\frac{x\,\left(72\,a^2\,c^5-14\,a\,b^2\,c^4+b^4\,c^3\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{6144\,a^5\,c^6-5632\,a^4\,b^2\,c^5+1920\,a^3\,b^4\,c^4-288\,a^2\,b^6\,c^3+16\,a\,b^8\,c^2}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}-\frac{x\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(1024\,a^5\,b\,c^5-768\,a^4\,b^3\,c^4+192\,a^3\,b^5\,c^3-16\,a^2\,b^7\,c^2\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\frac{x\,\left(72\,a^2\,c^5-14\,a\,b^2\,c^4+b^4\,c^3\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\left(\left(\frac{6144\,a^5\,c^6-5632\,a^4\,b^2\,c^5+1920\,a^3\,b^4\,c^4-288\,a^2\,b^6\,c^3+16\,a\,b^8\,c^2}{8\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}+\frac{x\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,\left(1024\,a^5\,b\,c^5-768\,a^4\,b^3\,c^4+192\,a^3\,b^5\,c^3-16\,a^2\,b^7\,c^2\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}-\frac{x\,\left(72\,a^2\,c^5-14\,a\,b^2\,c^4+b^4\,c^3\right)}{2\,\left(16\,a^4\,c^2-8\,a^3\,b^2\,c+a^2\,b^4\right)}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}+\frac{5\,b^3\,c^4-36\,a\,b\,c^5}{4\,\left(-64\,a^5\,c^3+48\,a^4\,b^2\,c^2-12\,a^3\,b^4\,c+a^2\,b^6\right)}}\right)\,\sqrt{-\frac{b^{11}-b^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-3840\,a^5\,b\,c^5+288\,a^2\,b^7\,c^2-1504\,a^3\,b^5\,c^3+3840\,a^4\,b^3\,c^4-27\,a\,b^9\,c+9\,a\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^9\,c^6-6144\,a^8\,b^2\,c^5+3840\,a^7\,b^4\,c^4-1280\,a^6\,b^6\,c^3+240\,a^5\,b^8\,c^2-24\,a^4\,b^{10}\,c+a^3\,b^{12}\right)}}\,2{}\mathrm{i}","Not used",1,"((x*(2*a*c - b^2))/(2*a*(4*a*c - b^2)) - (b*c*x^3)/(2*a*(4*a*c - b^2)))/(a + b*x^2 + c*x^4) + atan(((((6144*a^5*c^6 + 16*a*b^8*c^2 - 288*a^2*b^6*c^3 + 1920*a^3*b^4*c^4 - 5632*a^4*b^2*c^5)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(1024*a^5*b*c^5 - 16*a^2*b^7*c^2 + 192*a^3*b^5*c^3 - 768*a^4*b^3*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (x*(72*a^2*c^5 + b^4*c^3 - 14*a*b^2*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*1i - (((6144*a^5*c^6 + 16*a*b^8*c^2 - 288*a^2*b^6*c^3 + 1920*a^3*b^4*c^4 - 5632*a^4*b^2*c^5)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) + (x*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(1024*a^5*b*c^5 - 16*a^2*b^7*c^2 + 192*a^3*b^5*c^3 - 768*a^4*b^3*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) - (x*(72*a^2*c^5 + b^4*c^3 - 14*a*b^2*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*1i)/((((6144*a^5*c^6 + 16*a*b^8*c^2 - 288*a^2*b^6*c^3 + 1920*a^3*b^4*c^4 - 5632*a^4*b^2*c^5)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(1024*a^5*b*c^5 - 16*a^2*b^7*c^2 + 192*a^3*b^5*c^3 - 768*a^4*b^3*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (x*(72*a^2*c^5 + b^4*c^3 - 14*a*b^2*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (((6144*a^5*c^6 + 16*a*b^8*c^2 - 288*a^2*b^6*c^3 + 1920*a^3*b^4*c^4 - 5632*a^4*b^2*c^5)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) + (x*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(1024*a^5*b*c^5 - 16*a^2*b^7*c^2 + 192*a^3*b^5*c^3 - 768*a^4*b^3*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) - (x*(72*a^2*c^5 + b^4*c^3 - 14*a*b^2*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (5*b^3*c^4 - 36*a*b*c^5)/(4*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2))))*(-(b^11 + b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c - 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*2i + atan(((((6144*a^5*c^6 + 16*a*b^8*c^2 - 288*a^2*b^6*c^3 + 1920*a^3*b^4*c^4 - 5632*a^4*b^2*c^5)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(1024*a^5*b*c^5 - 16*a^2*b^7*c^2 + 192*a^3*b^5*c^3 - 768*a^4*b^3*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (x*(72*a^2*c^5 + b^4*c^3 - 14*a*b^2*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*1i - (((6144*a^5*c^6 + 16*a*b^8*c^2 - 288*a^2*b^6*c^3 + 1920*a^3*b^4*c^4 - 5632*a^4*b^2*c^5)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) + (x*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(1024*a^5*b*c^5 - 16*a^2*b^7*c^2 + 192*a^3*b^5*c^3 - 768*a^4*b^3*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) - (x*(72*a^2*c^5 + b^4*c^3 - 14*a*b^2*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*1i)/((((6144*a^5*c^6 + 16*a*b^8*c^2 - 288*a^2*b^6*c^3 + 1920*a^3*b^4*c^4 - 5632*a^4*b^2*c^5)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) - (x*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(1024*a^5*b*c^5 - 16*a^2*b^7*c^2 + 192*a^3*b^5*c^3 - 768*a^4*b^3*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (x*(72*a^2*c^5 + b^4*c^3 - 14*a*b^2*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (((6144*a^5*c^6 + 16*a*b^8*c^2 - 288*a^2*b^6*c^3 + 1920*a^3*b^4*c^4 - 5632*a^4*b^2*c^5)/(8*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2)) + (x*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*(1024*a^5*b*c^5 - 16*a^2*b^7*c^2 + 192*a^3*b^5*c^3 - 768*a^4*b^3*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) - (x*(72*a^2*c^5 + b^4*c^3 - 14*a*b^2*c^4))/(2*(a^2*b^4 + 16*a^4*c^2 - 8*a^3*b^2*c)))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2) + (5*b^3*c^4 - 36*a*b*c^5)/(4*(a^2*b^6 - 64*a^5*c^3 - 12*a^3*b^4*c + 48*a^4*b^2*c^2))))*(-(b^11 - b^2*(-(4*a*c - b^2)^9)^(1/2) - 3840*a^5*b*c^5 + 288*a^2*b^7*c^2 - 1504*a^3*b^5*c^3 + 3840*a^4*b^3*c^4 - 27*a*b^9*c + 9*a*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^3*b^12 + 4096*a^9*c^6 - 24*a^4*b^10*c + 240*a^5*b^8*c^2 - 1280*a^6*b^6*c^3 + 3840*a^7*b^4*c^4 - 6144*a^8*b^2*c^5)))^(1/2)*2i","B"
99,1,5048,122,6.311529,"\text{Not used}","int(x/(a*x + b*x^3 + c*x^5)^2,x)","\frac{\ln\left(x\right)}{a^2}+\frac{\frac{2\,a\,c-b^2}{2\,a\,\left(4\,a\,c-b^2\right)}-\frac{b\,c\,x^2}{2\,a\,\left(4\,a\,c-b^2\right)}}{c\,x^4+b\,x^2+a}-\frac{\ln\left(c\,x^4+b\,x^2+a\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}+\frac{b\,\mathrm{atan}\left(\frac{x^2\,\left(\frac{\left(\frac{\left(\frac{b\,\left(\frac{320\,a^5\,b\,c^6-192\,a^4\,b^3\,c^5+36\,a^3\,b^5\,c^4-2\,a^2\,b^7\,c^3}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)\,\left(2560\,a^7\,b\,c^6-2688\,a^6\,b^3\,c^5+1056\,a^5\,b^5\,c^4-184\,a^4\,b^7\,c^3+12\,a^3\,b^9\,c^2\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{b\,\left(6\,a\,c-b^2\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)\,\left(2560\,a^7\,b\,c^6-2688\,a^6\,b^3\,c^5+1056\,a^5\,b^5\,c^4-184\,a^4\,b^7\,c^3+12\,a^3\,b^9\,c^2\right)}{8\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}+\frac{b\,\left(\frac{80\,a^3\,b\,c^6-44\,a^2\,b^3\,c^5+6\,a\,b^5\,c^4}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}+\frac{\left(\frac{320\,a^5\,b\,c^6-192\,a^4\,b^3\,c^5+36\,a^3\,b^5\,c^4-2\,a^2\,b^7\,c^3}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)\,\left(2560\,a^7\,b\,c^6-2688\,a^6\,b^3\,c^5+1056\,a^5\,b^5\,c^4-184\,a^4\,b^7\,c^3+12\,a^3\,b^9\,c^2\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b^3\,{\left(6\,a\,c-b^2\right)}^3\,\left(2560\,a^7\,b\,c^6-2688\,a^6\,b^3\,c^5+1056\,a^5\,b^5\,c^4-184\,a^4\,b^7\,c^3+12\,a^3\,b^9\,c^2\right)}{64\,a^6\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)\,\left(-40\,a^3\,c^3+69\,a^2\,b^2\,c^2-27\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{7/2}\,\left(-400\,a^3\,c^3+291\,a^2\,b^2\,c^2-72\,a\,b^4\,c+6\,b^6\right)}+\frac{3\,b\,\left(11\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)\,\left(\frac{\left(\frac{80\,a^3\,b\,c^6-44\,a^2\,b^3\,c^5+6\,a\,b^5\,c^4}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}+\frac{\left(\frac{320\,a^5\,b\,c^6-192\,a^4\,b^3\,c^5+36\,a^3\,b^5\,c^4-2\,a^2\,b^7\,c^3}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)\,\left(2560\,a^7\,b\,c^6-2688\,a^6\,b^3\,c^5+1056\,a^5\,b^5\,c^4-184\,a^4\,b^7\,c^3+12\,a^3\,b^9\,c^2\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}-\frac{b^3\,c^5}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{b\,\left(6\,a\,c-b^2\right)\,\left(\frac{b\,\left(\frac{320\,a^5\,b\,c^6-192\,a^4\,b^3\,c^5+36\,a^3\,b^5\,c^4-2\,a^2\,b^7\,c^3}{-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6}-\frac{\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)\,\left(2560\,a^7\,b\,c^6-2688\,a^6\,b^3\,c^5+1056\,a^5\,b^5\,c^4-184\,a^4\,b^7\,c^3+12\,a^3\,b^9\,c^2\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{b\,\left(6\,a\,c-b^2\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)\,\left(2560\,a^7\,b\,c^6-2688\,a^6\,b^3\,c^5+1056\,a^5\,b^5\,c^4-184\,a^4\,b^7\,c^3+12\,a^3\,b^9\,c^2\right)}{8\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)}{4\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)\,\left(2560\,a^7\,b\,c^6-2688\,a^6\,b^3\,c^5+1056\,a^5\,b^5\,c^4-184\,a^4\,b^7\,c^3+12\,a^3\,b^9\,c^2\right)}{32\,a^4\,{\left(4\,a\,c-b^2\right)}^3\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(-400\,a^3\,c^3+291\,a^2\,b^2\,c^2-72\,a\,b^4\,c+6\,b^6\right)}\right)\,\left(16\,a^6\,b^6\,{\left(4\,a\,c-b^2\right)}^{9/2}-1024\,a^9\,c^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-192\,a^7\,b^4\,c\,{\left(4\,a\,c-b^2\right)}^{9/2}+768\,a^8\,b^2\,c^2\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)}{36\,a^2\,b^2\,c^4-12\,a\,b^4\,c^3+b^6\,c^2}+\frac{\left(\frac{b\,\left(\frac{4\,a\,b^4\,c^3-17\,a^2\,b^2\,c^4}{16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4}-\frac{\left(\frac{80\,a^4\,b^2\,c^4-36\,a^3\,b^4\,c^3+4\,a^2\,b^6\,c^2}{16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4}+\frac{\left(64\,a^6\,b^2\,c^4-32\,a^5\,b^4\,c^3+4\,a^4\,b^6\,c^2\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\left(\frac{b\,\left(\frac{80\,a^4\,b^2\,c^4-36\,a^3\,b^4\,c^3+4\,a^2\,b^6\,c^2}{16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4}+\frac{\left(64\,a^6\,b^2\,c^4-32\,a^5\,b^4\,c^3+4\,a^4\,b^6\,c^2\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(6\,a\,c-b^2\right)\,\left(64\,a^6\,b^2\,c^4-32\,a^5\,b^4\,c^3+4\,a^4\,b^6\,c^2\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{8\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}+\frac{b^3\,{\left(6\,a\,c-b^2\right)}^3\,\left(64\,a^6\,b^2\,c^4-32\,a^5\,b^4\,c^3+4\,a^4\,b^6\,c^2\right)}{64\,a^6\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)}\right)\,\left(16\,a^6\,b^6\,{\left(4\,a\,c-b^2\right)}^{9/2}-1024\,a^9\,c^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-192\,a^7\,b^4\,c\,{\left(4\,a\,c-b^2\right)}^{9/2}+768\,a^8\,b^2\,c^2\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)\,\left(-40\,a^3\,c^3+69\,a^2\,b^2\,c^2-27\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{7/2}\,\left(36\,a^2\,b^2\,c^4-12\,a\,b^4\,c^3+b^6\,c^2\right)\,\left(-400\,a^3\,c^3+291\,a^2\,b^2\,c^2-72\,a\,b^4\,c+6\,b^6\right)}+\frac{3\,b\,\left(11\,a^2\,c^2-7\,a\,b^2\,c+b^4\right)\,\left(16\,a^6\,b^6\,{\left(4\,a\,c-b^2\right)}^{9/2}-1024\,a^9\,c^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-192\,a^7\,b^4\,c\,{\left(4\,a\,c-b^2\right)}^{9/2}+768\,a^8\,b^2\,c^2\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)\,\left(\frac{\left(\frac{4\,a\,b^4\,c^3-17\,a^2\,b^2\,c^4}{16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4}-\frac{\left(\frac{80\,a^4\,b^2\,c^4-36\,a^3\,b^4\,c^3+4\,a^2\,b^6\,c^2}{16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4}+\frac{\left(64\,a^6\,b^2\,c^4-32\,a^5\,b^4\,c^3+4\,a^4\,b^6\,c^2\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}-\frac{b^2\,c^4}{16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4}+\frac{b\,\left(6\,a\,c-b^2\right)\,\left(\frac{b\,\left(\frac{80\,a^4\,b^2\,c^4-36\,a^3\,b^4\,c^3+4\,a^2\,b^6\,c^2}{16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4}+\frac{\left(64\,a^6\,b^2\,c^4-32\,a^5\,b^4\,c^3+4\,a^4\,b^6\,c^2\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{2\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)\,\left(6\,a\,c-b^2\right)}{4\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(6\,a\,c-b^2\right)\,\left(64\,a^6\,b^2\,c^4-32\,a^5\,b^4\,c^3+4\,a^4\,b^6\,c^2\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{8\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)}{4\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b^2\,{\left(6\,a\,c-b^2\right)}^2\,\left(64\,a^6\,b^2\,c^4-32\,a^5\,b^4\,c^3+4\,a^4\,b^6\,c^2\right)\,\left(-128\,a^3\,c^3+96\,a^2\,b^2\,c^2-24\,a\,b^4\,c+2\,b^6\right)}{32\,a^4\,{\left(4\,a\,c-b^2\right)}^3\,\left(16\,a^5\,c^2-8\,a^4\,b^2\,c+a^3\,b^4\right)\,\left(-256\,a^5\,c^3+192\,a^4\,b^2\,c^2-48\,a^3\,b^4\,c+4\,a^2\,b^6\right)}\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(36\,a^2\,b^2\,c^4-12\,a\,b^4\,c^3+b^6\,c^2\right)\,\left(-400\,a^3\,c^3+291\,a^2\,b^2\,c^2-72\,a\,b^4\,c+6\,b^6\right)}\right)\,\left(6\,a\,c-b^2\right)}{2\,a^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"log(x)/a^2 + ((2*a*c - b^2)/(2*a*(4*a*c - b^2)) - (b*c*x^2)/(2*a*(4*a*c - b^2)))/(a + b*x^2 + c*x^4) - (log(a + b*x^2 + c*x^4)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)) + (b*atan((x^2*((((((b*((320*a^5*b*c^6 - 2*a^2*b^7*c^3 + 36*a^3*b^5*c^4 - 192*a^4*b^3*c^5)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - ((2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c)*(2560*a^7*b*c^6 + 12*a^3*b^9*c^2 - 184*a^4*b^7*c^3 + 1056*a^5*b^5*c^4 - 2688*a^6*b^3*c^5))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(6*a*c - b^2))/(4*a^2*(4*a*c - b^2)^(3/2)) - (b*(6*a*c - b^2)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c)*(2560*a^7*b*c^6 + 12*a^3*b^9*c^2 - 184*a^4*b^7*c^3 + 1056*a^5*b^5*c^4 - 2688*a^6*b^3*c^5))/(8*a^2*(4*a*c - b^2)^(3/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)) + (b*((6*a*b^5*c^4 + 80*a^3*b*c^6 - 44*a^2*b^3*c^5)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + (((320*a^5*b*c^6 - 2*a^2*b^7*c^3 + 36*a^3*b^5*c^4 - 192*a^4*b^3*c^5)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - ((2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c)*(2560*a^7*b*c^6 + 12*a^3*b^9*c^2 - 184*a^4*b^7*c^3 + 1056*a^5*b^5*c^4 - 2688*a^6*b^3*c^5))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(6*a*c - b^2))/(4*a^2*(4*a*c - b^2)^(3/2)) + (b^3*(6*a*c - b^2)^3*(2560*a^7*b*c^6 + 12*a^3*b^9*c^2 - 184*a^4*b^7*c^3 + 1056*a^5*b^5*c^4 - 2688*a^6*b^3*c^5))/(64*a^6*(4*a*c - b^2)^(9/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(3*b^6 - 40*a^3*c^3 + 69*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c)) + (3*b*(b^4 + 11*a^2*c^2 - 7*a*b^2*c)*((((6*a*b^5*c^4 + 80*a^3*b*c^6 - 44*a^2*b^3*c^5)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) + (((320*a^5*b*c^6 - 2*a^2*b^7*c^3 + 36*a^3*b^5*c^4 - 192*a^4*b^3*c^5)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - ((2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c)*(2560*a^7*b*c^6 + 12*a^3*b^9*c^2 - 184*a^4*b^7*c^3 + 1056*a^5*b^5*c^4 - 2688*a^6*b^3*c^5))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)) - (b^3*c^5)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - (b*(6*a*c - b^2)*((b*((320*a^5*b*c^6 - 2*a^2*b^7*c^3 + 36*a^3*b^5*c^4 - 192*a^4*b^3*c^5)/(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2) - ((2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c)*(2560*a^7*b*c^6 + 12*a^3*b^9*c^2 - 184*a^4*b^7*c^3 + 1056*a^5*b^5*c^4 - 2688*a^6*b^3*c^5))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(6*a*c - b^2))/(4*a^2*(4*a*c - b^2)^(3/2)) - (b*(6*a*c - b^2)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c)*(2560*a^7*b*c^6 + 12*a^3*b^9*c^2 - 184*a^4*b^7*c^3 + 1056*a^5*b^5*c^4 - 2688*a^6*b^3*c^5))/(8*a^2*(4*a*c - b^2)^(3/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2))))/(4*a^2*(4*a*c - b^2)^(3/2)) + (b^2*(6*a*c - b^2)^2*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c)*(2560*a^7*b*c^6 + 12*a^3*b^9*c^2 - 184*a^4*b^7*c^3 + 1056*a^5*b^5*c^4 - 2688*a^6*b^3*c^5))/(32*a^4*(4*a*c - b^2)^3*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2))))/(8*a^3*c^2*(4*a*c - b^2)^3*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c)))*(16*a^6*b^6*(4*a*c - b^2)^(9/2) - 1024*a^9*c^3*(4*a*c - b^2)^(9/2) - 192*a^7*b^4*c*(4*a*c - b^2)^(9/2) + 768*a^8*b^2*c^2*(4*a*c - b^2)^(9/2)))/(b^6*c^2 - 12*a*b^4*c^3 + 36*a^2*b^2*c^4) + (((b*((4*a*b^4*c^3 - 17*a^2*b^2*c^4)/(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c) - (((4*a^2*b^6*c^2 - 36*a^3*b^4*c^3 + 80*a^4*b^2*c^4)/(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c) + ((4*a^4*b^6*c^2 - 32*a^5*b^4*c^3 + 64*a^6*b^2*c^4)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(6*a*c - b^2))/(4*a^2*(4*a*c - b^2)^(3/2)) - (((b*((4*a^2*b^6*c^2 - 36*a^3*b^4*c^3 + 80*a^4*b^2*c^4)/(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c) + ((4*a^4*b^6*c^2 - 32*a^5*b^4*c^3 + 64*a^6*b^2*c^4)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(6*a*c - b^2))/(4*a^2*(4*a*c - b^2)^(3/2)) + (b*(6*a*c - b^2)*(4*a^4*b^6*c^2 - 32*a^5*b^4*c^3 + 64*a^6*b^2*c^4)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(8*a^2*(4*a*c - b^2)^(3/2)*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)) + (b^3*(6*a*c - b^2)^3*(4*a^4*b^6*c^2 - 32*a^5*b^4*c^3 + 64*a^6*b^2*c^4))/(64*a^6*(4*a*c - b^2)^(9/2)*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)))*(16*a^6*b^6*(4*a*c - b^2)^(9/2) - 1024*a^9*c^3*(4*a*c - b^2)^(9/2) - 192*a^7*b^4*c*(4*a*c - b^2)^(9/2) + 768*a^8*b^2*c^2*(4*a*c - b^2)^(9/2))*(3*b^6 - 40*a^3*c^3 + 69*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(b^6*c^2 - 12*a*b^4*c^3 + 36*a^2*b^2*c^4)*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c)) + (3*b*(b^4 + 11*a^2*c^2 - 7*a*b^2*c)*(16*a^6*b^6*(4*a*c - b^2)^(9/2) - 1024*a^9*c^3*(4*a*c - b^2)^(9/2) - 192*a^7*b^4*c*(4*a*c - b^2)^(9/2) + 768*a^8*b^2*c^2*(4*a*c - b^2)^(9/2))*((((4*a*b^4*c^3 - 17*a^2*b^2*c^4)/(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c) - (((4*a^2*b^6*c^2 - 36*a^3*b^4*c^3 + 80*a^4*b^2*c^4)/(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c) + ((4*a^4*b^6*c^2 - 32*a^5*b^4*c^3 + 64*a^6*b^2*c^4)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)) - (b^2*c^4)/(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c) + (b*(6*a*c - b^2)*((b*((4*a^2*b^6*c^2 - 36*a^3*b^4*c^3 + 80*a^4*b^2*c^4)/(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c) + ((4*a^4*b^6*c^2 - 32*a^5*b^4*c^3 + 64*a^6*b^2*c^4)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(2*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2)))*(6*a*c - b^2))/(4*a^2*(4*a*c - b^2)^(3/2)) + (b*(6*a*c - b^2)*(4*a^4*b^6*c^2 - 32*a^5*b^4*c^3 + 64*a^6*b^2*c^4)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(8*a^2*(4*a*c - b^2)^(3/2)*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2))))/(4*a^2*(4*a*c - b^2)^(3/2)) + (b^2*(6*a*c - b^2)^2*(4*a^4*b^6*c^2 - 32*a^5*b^4*c^3 + 64*a^6*b^2*c^4)*(2*b^6 - 128*a^3*c^3 + 96*a^2*b^2*c^2 - 24*a*b^4*c))/(32*a^4*(4*a*c - b^2)^3*(a^3*b^4 + 16*a^5*c^2 - 8*a^4*b^2*c)*(4*a^2*b^6 - 256*a^5*c^3 - 48*a^3*b^4*c + 192*a^4*b^2*c^2))))/(8*a^3*c^2*(4*a*c - b^2)^3*(b^6*c^2 - 12*a*b^4*c^3 + 36*a^2*b^2*c^4)*(6*b^6 - 400*a^3*c^3 + 291*a^2*b^2*c^2 - 72*a*b^4*c)))*(6*a*c - b^2))/(2*a^2*(4*a*c - b^2)^(3/2))","B"
100,1,7555,308,2.638624,"\text{Not used}","int(1/(a*x + b*x^3 + c*x^5)^2,x)","-\frac{\frac{1}{a}+\frac{b\,x^2\,\left(11\,a\,c-3\,b^2\right)}{2\,a^2\,\left(4\,a\,c-b^2\right)}+\frac{c\,x^4\,\left(10\,a\,c-3\,b^2\right)}{2\,a^2\,\left(4\,a\,c-b^2\right)}}{c\,x^5+b\,x^3+a\,x}-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(851968\,a^{14}\,b\,c^8+192\,a^8\,b^{13}\,c^2-4672\,a^9\,b^{11}\,c^3+47360\,a^{10}\,b^9\,c^4-256000\,a^{11}\,b^7\,c^5+778240\,a^{12}\,b^5\,c^6-1261568\,a^{13}\,b^3\,c^7+x\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(1048576\,a^{16}\,b\,c^8-1572864\,a^{15}\,b^3\,c^7+983040\,a^{14}\,b^5\,c^6-327680\,a^{13}\,b^7\,c^5+61440\,a^{12}\,b^9\,c^4-6144\,a^{11}\,b^{11}\,c^3+256\,a^{10}\,b^{13}\,c^2\right)\right)+x\,\left(204800\,a^{12}\,c^9-458752\,a^{11}\,b^2\,c^8+365568\,a^{10}\,b^4\,c^7-143360\,a^9\,b^6\,c^6+30112\,a^8\,b^8\,c^5-3264\,a^7\,b^{10}\,c^4+144\,a^6\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(851968\,a^{14}\,b\,c^8+192\,a^8\,b^{13}\,c^2-4672\,a^9\,b^{11}\,c^3+47360\,a^{10}\,b^9\,c^4-256000\,a^{11}\,b^7\,c^5+778240\,a^{12}\,b^5\,c^6-1261568\,a^{13}\,b^3\,c^7-x\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(1048576\,a^{16}\,b\,c^8-1572864\,a^{15}\,b^3\,c^7+983040\,a^{14}\,b^5\,c^6-327680\,a^{13}\,b^7\,c^5+61440\,a^{12}\,b^9\,c^4-6144\,a^{11}\,b^{11}\,c^3+256\,a^{10}\,b^{13}\,c^2\right)\right)-x\,\left(204800\,a^{12}\,c^9-458752\,a^{11}\,b^2\,c^8+365568\,a^{10}\,b^4\,c^7-143360\,a^9\,b^6\,c^6+30112\,a^8\,b^8\,c^5-3264\,a^7\,b^{10}\,c^4+144\,a^6\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(851968\,a^{14}\,b\,c^8+192\,a^8\,b^{13}\,c^2-4672\,a^9\,b^{11}\,c^3+47360\,a^{10}\,b^9\,c^4-256000\,a^{11}\,b^7\,c^5+778240\,a^{12}\,b^5\,c^6-1261568\,a^{13}\,b^3\,c^7+x\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(1048576\,a^{16}\,b\,c^8-1572864\,a^{15}\,b^3\,c^7+983040\,a^{14}\,b^5\,c^6-327680\,a^{13}\,b^7\,c^5+61440\,a^{12}\,b^9\,c^4-6144\,a^{11}\,b^{11}\,c^3+256\,a^{10}\,b^{13}\,c^2\right)\right)+x\,\left(204800\,a^{12}\,c^9-458752\,a^{11}\,b^2\,c^8+365568\,a^{10}\,b^4\,c^7-143360\,a^9\,b^6\,c^6+30112\,a^8\,b^8\,c^5-3264\,a^7\,b^{10}\,c^4+144\,a^6\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}+\left(\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(851968\,a^{14}\,b\,c^8+192\,a^8\,b^{13}\,c^2-4672\,a^9\,b^{11}\,c^3+47360\,a^{10}\,b^9\,c^4-256000\,a^{11}\,b^7\,c^5+778240\,a^{12}\,b^5\,c^6-1261568\,a^{13}\,b^3\,c^7-x\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(1048576\,a^{16}\,b\,c^8-1572864\,a^{15}\,b^3\,c^7+983040\,a^{14}\,b^5\,c^6-327680\,a^{13}\,b^7\,c^5+61440\,a^{12}\,b^9\,c^4-6144\,a^{11}\,b^{11}\,c^3+256\,a^{10}\,b^{13}\,c^2\right)\right)-x\,\left(204800\,a^{12}\,c^9-458752\,a^{11}\,b^2\,c^8+365568\,a^{10}\,b^4\,c^7-143360\,a^9\,b^6\,c^6+30112\,a^8\,b^8\,c^5-3264\,a^7\,b^{10}\,c^4+144\,a^6\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}+128000\,a^{10}\,c^9+504\,a^6\,b^8\,c^5-8112\,a^7\,b^6\,c^6+48704\,a^8\,b^4\,c^7-129280\,a^9\,b^2\,c^8}\right)\,\sqrt{-\frac{9\,b^{13}-9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5-25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c+51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(851968\,a^{14}\,b\,c^8+192\,a^8\,b^{13}\,c^2-4672\,a^9\,b^{11}\,c^3+47360\,a^{10}\,b^9\,c^4-256000\,a^{11}\,b^7\,c^5+778240\,a^{12}\,b^5\,c^6-1261568\,a^{13}\,b^3\,c^7+x\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(1048576\,a^{16}\,b\,c^8-1572864\,a^{15}\,b^3\,c^7+983040\,a^{14}\,b^5\,c^6-327680\,a^{13}\,b^7\,c^5+61440\,a^{12}\,b^9\,c^4-6144\,a^{11}\,b^{11}\,c^3+256\,a^{10}\,b^{13}\,c^2\right)\right)+x\,\left(204800\,a^{12}\,c^9-458752\,a^{11}\,b^2\,c^8+365568\,a^{10}\,b^4\,c^7-143360\,a^9\,b^6\,c^6+30112\,a^8\,b^8\,c^5-3264\,a^7\,b^{10}\,c^4+144\,a^6\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(851968\,a^{14}\,b\,c^8+192\,a^8\,b^{13}\,c^2-4672\,a^9\,b^{11}\,c^3+47360\,a^{10}\,b^9\,c^4-256000\,a^{11}\,b^7\,c^5+778240\,a^{12}\,b^5\,c^6-1261568\,a^{13}\,b^3\,c^7-x\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(1048576\,a^{16}\,b\,c^8-1572864\,a^{15}\,b^3\,c^7+983040\,a^{14}\,b^5\,c^6-327680\,a^{13}\,b^7\,c^5+61440\,a^{12}\,b^9\,c^4-6144\,a^{11}\,b^{11}\,c^3+256\,a^{10}\,b^{13}\,c^2\right)\right)-x\,\left(204800\,a^{12}\,c^9-458752\,a^{11}\,b^2\,c^8+365568\,a^{10}\,b^4\,c^7-143360\,a^9\,b^6\,c^6+30112\,a^8\,b^8\,c^5-3264\,a^7\,b^{10}\,c^4+144\,a^6\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(851968\,a^{14}\,b\,c^8+192\,a^8\,b^{13}\,c^2-4672\,a^9\,b^{11}\,c^3+47360\,a^{10}\,b^9\,c^4-256000\,a^{11}\,b^7\,c^5+778240\,a^{12}\,b^5\,c^6-1261568\,a^{13}\,b^3\,c^7+x\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(1048576\,a^{16}\,b\,c^8-1572864\,a^{15}\,b^3\,c^7+983040\,a^{14}\,b^5\,c^6-327680\,a^{13}\,b^7\,c^5+61440\,a^{12}\,b^9\,c^4-6144\,a^{11}\,b^{11}\,c^3+256\,a^{10}\,b^{13}\,c^2\right)\right)+x\,\left(204800\,a^{12}\,c^9-458752\,a^{11}\,b^2\,c^8+365568\,a^{10}\,b^4\,c^7-143360\,a^9\,b^6\,c^6+30112\,a^8\,b^8\,c^5-3264\,a^7\,b^{10}\,c^4+144\,a^6\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}+\left(\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(851968\,a^{14}\,b\,c^8+192\,a^8\,b^{13}\,c^2-4672\,a^9\,b^{11}\,c^3+47360\,a^{10}\,b^9\,c^4-256000\,a^{11}\,b^7\,c^5+778240\,a^{12}\,b^5\,c^6-1261568\,a^{13}\,b^3\,c^7-x\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,\left(1048576\,a^{16}\,b\,c^8-1572864\,a^{15}\,b^3\,c^7+983040\,a^{14}\,b^5\,c^6-327680\,a^{13}\,b^7\,c^5+61440\,a^{12}\,b^9\,c^4-6144\,a^{11}\,b^{11}\,c^3+256\,a^{10}\,b^{13}\,c^2\right)\right)-x\,\left(204800\,a^{12}\,c^9-458752\,a^{11}\,b^2\,c^8+365568\,a^{10}\,b^4\,c^7-143360\,a^9\,b^6\,c^6+30112\,a^8\,b^8\,c^5-3264\,a^7\,b^{10}\,c^4+144\,a^6\,b^{12}\,c^3\right)\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}+128000\,a^{10}\,c^9+504\,a^6\,b^8\,c^5-8112\,a^7\,b^6\,c^6+48704\,a^8\,b^4\,c^7-129280\,a^9\,b^2\,c^8}\right)\,\sqrt{-\frac{9\,b^{13}+9\,b^4\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+26880\,a^6\,b\,c^6+2077\,a^2\,b^9\,c^2-10656\,a^3\,b^7\,c^3+30240\,a^4\,b^5\,c^4-44800\,a^5\,b^3\,c^5+25\,a^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-213\,a\,b^{11}\,c-51\,a\,b^2\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{11}\,c^6-6144\,a^{10}\,b^2\,c^5+3840\,a^9\,b^4\,c^4-1280\,a^8\,b^6\,c^3+240\,a^7\,b^8\,c^2-24\,a^6\,b^{10}\,c+a^5\,b^{12}\right)}}\,2{}\mathrm{i}","Not used",1,"- atan((((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(851968*a^14*b*c^8 + 192*a^8*b^13*c^2 - 4672*a^9*b^11*c^3 + 47360*a^10*b^9*c^4 - 256000*a^11*b^7*c^5 + 778240*a^12*b^5*c^6 - 1261568*a^13*b^3*c^7 + x*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(1048576*a^16*b*c^8 + 256*a^10*b^13*c^2 - 6144*a^11*b^11*c^3 + 61440*a^12*b^9*c^4 - 327680*a^13*b^7*c^5 + 983040*a^14*b^5*c^6 - 1572864*a^15*b^3*c^7)) + x*(204800*a^12*c^9 + 144*a^6*b^12*c^3 - 3264*a^7*b^10*c^4 + 30112*a^8*b^8*c^5 - 143360*a^9*b^6*c^6 + 365568*a^10*b^4*c^7 - 458752*a^11*b^2*c^8))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*1i - ((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(851968*a^14*b*c^8 + 192*a^8*b^13*c^2 - 4672*a^9*b^11*c^3 + 47360*a^10*b^9*c^4 - 256000*a^11*b^7*c^5 + 778240*a^12*b^5*c^6 - 1261568*a^13*b^3*c^7 - x*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(1048576*a^16*b*c^8 + 256*a^10*b^13*c^2 - 6144*a^11*b^11*c^3 + 61440*a^12*b^9*c^4 - 327680*a^13*b^7*c^5 + 983040*a^14*b^5*c^6 - 1572864*a^15*b^3*c^7)) - x*(204800*a^12*c^9 + 144*a^6*b^12*c^3 - 3264*a^7*b^10*c^4 + 30112*a^8*b^8*c^5 - 143360*a^9*b^6*c^6 + 365568*a^10*b^4*c^7 - 458752*a^11*b^2*c^8))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*1i)/(((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(851968*a^14*b*c^8 + 192*a^8*b^13*c^2 - 4672*a^9*b^11*c^3 + 47360*a^10*b^9*c^4 - 256000*a^11*b^7*c^5 + 778240*a^12*b^5*c^6 - 1261568*a^13*b^3*c^7 + x*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(1048576*a^16*b*c^8 + 256*a^10*b^13*c^2 - 6144*a^11*b^11*c^3 + 61440*a^12*b^9*c^4 - 327680*a^13*b^7*c^5 + 983040*a^14*b^5*c^6 - 1572864*a^15*b^3*c^7)) + x*(204800*a^12*c^9 + 144*a^6*b^12*c^3 - 3264*a^7*b^10*c^4 + 30112*a^8*b^8*c^5 - 143360*a^9*b^6*c^6 + 365568*a^10*b^4*c^7 - 458752*a^11*b^2*c^8))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2) + ((-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(851968*a^14*b*c^8 + 192*a^8*b^13*c^2 - 4672*a^9*b^11*c^3 + 47360*a^10*b^9*c^4 - 256000*a^11*b^7*c^5 + 778240*a^12*b^5*c^6 - 1261568*a^13*b^3*c^7 - x*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(1048576*a^16*b*c^8 + 256*a^10*b^13*c^2 - 6144*a^11*b^11*c^3 + 61440*a^12*b^9*c^4 - 327680*a^13*b^7*c^5 + 983040*a^14*b^5*c^6 - 1572864*a^15*b^3*c^7)) - x*(204800*a^12*c^9 + 144*a^6*b^12*c^3 - 3264*a^7*b^10*c^4 + 30112*a^8*b^8*c^5 - 143360*a^9*b^6*c^6 + 365568*a^10*b^4*c^7 - 458752*a^11*b^2*c^8))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2) + 128000*a^10*c^9 + 504*a^6*b^8*c^5 - 8112*a^7*b^6*c^6 + 48704*a^8*b^4*c^7 - 129280*a^9*b^2*c^8))*(-(9*b^13 - 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 - 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c + 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*2i - atan((((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(851968*a^14*b*c^8 + 192*a^8*b^13*c^2 - 4672*a^9*b^11*c^3 + 47360*a^10*b^9*c^4 - 256000*a^11*b^7*c^5 + 778240*a^12*b^5*c^6 - 1261568*a^13*b^3*c^7 + x*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(1048576*a^16*b*c^8 + 256*a^10*b^13*c^2 - 6144*a^11*b^11*c^3 + 61440*a^12*b^9*c^4 - 327680*a^13*b^7*c^5 + 983040*a^14*b^5*c^6 - 1572864*a^15*b^3*c^7)) + x*(204800*a^12*c^9 + 144*a^6*b^12*c^3 - 3264*a^7*b^10*c^4 + 30112*a^8*b^8*c^5 - 143360*a^9*b^6*c^6 + 365568*a^10*b^4*c^7 - 458752*a^11*b^2*c^8))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*1i - ((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(851968*a^14*b*c^8 + 192*a^8*b^13*c^2 - 4672*a^9*b^11*c^3 + 47360*a^10*b^9*c^4 - 256000*a^11*b^7*c^5 + 778240*a^12*b^5*c^6 - 1261568*a^13*b^3*c^7 - x*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(1048576*a^16*b*c^8 + 256*a^10*b^13*c^2 - 6144*a^11*b^11*c^3 + 61440*a^12*b^9*c^4 - 327680*a^13*b^7*c^5 + 983040*a^14*b^5*c^6 - 1572864*a^15*b^3*c^7)) - x*(204800*a^12*c^9 + 144*a^6*b^12*c^3 - 3264*a^7*b^10*c^4 + 30112*a^8*b^8*c^5 - 143360*a^9*b^6*c^6 + 365568*a^10*b^4*c^7 - 458752*a^11*b^2*c^8))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*1i)/(((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(851968*a^14*b*c^8 + 192*a^8*b^13*c^2 - 4672*a^9*b^11*c^3 + 47360*a^10*b^9*c^4 - 256000*a^11*b^7*c^5 + 778240*a^12*b^5*c^6 - 1261568*a^13*b^3*c^7 + x*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(1048576*a^16*b*c^8 + 256*a^10*b^13*c^2 - 6144*a^11*b^11*c^3 + 61440*a^12*b^9*c^4 - 327680*a^13*b^7*c^5 + 983040*a^14*b^5*c^6 - 1572864*a^15*b^3*c^7)) + x*(204800*a^12*c^9 + 144*a^6*b^12*c^3 - 3264*a^7*b^10*c^4 + 30112*a^8*b^8*c^5 - 143360*a^9*b^6*c^6 + 365568*a^10*b^4*c^7 - 458752*a^11*b^2*c^8))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2) + ((-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(851968*a^14*b*c^8 + 192*a^8*b^13*c^2 - 4672*a^9*b^11*c^3 + 47360*a^10*b^9*c^4 - 256000*a^11*b^7*c^5 + 778240*a^12*b^5*c^6 - 1261568*a^13*b^3*c^7 - x*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*(1048576*a^16*b*c^8 + 256*a^10*b^13*c^2 - 6144*a^11*b^11*c^3 + 61440*a^12*b^9*c^4 - 327680*a^13*b^7*c^5 + 983040*a^14*b^5*c^6 - 1572864*a^15*b^3*c^7)) - x*(204800*a^12*c^9 + 144*a^6*b^12*c^3 - 3264*a^7*b^10*c^4 + 30112*a^8*b^8*c^5 - 143360*a^9*b^6*c^6 + 365568*a^10*b^4*c^7 - 458752*a^11*b^2*c^8))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2) + 128000*a^10*c^9 + 504*a^6*b^8*c^5 - 8112*a^7*b^6*c^6 + 48704*a^8*b^4*c^7 - 129280*a^9*b^2*c^8))*(-(9*b^13 + 9*b^4*(-(4*a*c - b^2)^9)^(1/2) + 26880*a^6*b*c^6 + 2077*a^2*b^9*c^2 - 10656*a^3*b^7*c^3 + 30240*a^4*b^5*c^4 - 44800*a^5*b^3*c^5 + 25*a^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 213*a*b^11*c - 51*a*b^2*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^5*b^12 + 4096*a^11*c^6 - 24*a^6*b^10*c + 240*a^7*b^8*c^2 - 1280*a^8*b^6*c^3 + 3840*a^9*b^4*c^4 - 6144*a^10*b^2*c^5)))^(1/2)*2i - (1/a + (b*x^2*(11*a*c - 3*b^2))/(2*a^2*(4*a*c - b^2)) + (c*x^4*(10*a*c - 3*b^2))/(2*a^2*(4*a*c - b^2)))/(a*x + b*x^3 + c*x^5)","B"
101,1,5491,162,6.766085,"\text{Not used}","int(1/(x*(a*x + b*x^3 + c*x^5)^2),x)","\frac{\ln\left(c\,x^4+b\,x^2+a\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}-\frac{\frac{1}{2\,a}-\frac{x^2\,\left(2\,b^3-7\,a\,b\,c\right)}{2\,a^2\,\left(4\,a\,c-b^2\right)}+\frac{c\,x^4\,\left(3\,a\,c-b^2\right)}{a^2\,\left(4\,a\,c-b^2\right)}}{c\,x^6+b\,x^4+a\,x^2}-\frac{2\,b\,\ln\left(x\right)}{a^3}+\frac{\mathrm{atan}\left(\frac{\left(2\,a^9\,b^6\,{\left(4\,a\,c-b^2\right)}^{9/2}-128\,a^{12}\,c^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-24\,a^{10}\,b^4\,c\,{\left(4\,a\,c-b^2\right)}^{9/2}+96\,a^{11}\,b^2\,c^2\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)\,\left(-3\,a^3\,c^3+36\,a^2\,b^2\,c^2-21\,a\,b^4\,c+3\,b^6\right)\,\left(\frac{4\,\left(18\,a^2\,b\,c^6-12\,a\,b^3\,c^5+2\,b^5\,c^4\right)}{16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4}+\frac{\left(\frac{4\,\left(9\,a^5\,c^6-54\,a^4\,b^2\,c^5+29\,a^3\,b^4\,c^4-4\,a^2\,b^6\,c^3\right)}{16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4}-\frac{\left(\frac{4\,\left(24\,a^7\,b\,c^5-46\,a^6\,b^3\,c^4+18\,a^5\,b^5\,c^3-2\,a^4\,b^7\,c^2\right)}{16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4}-\frac{2\,\left(16\,a^9\,b^2\,c^4-8\,a^8\,b^4\,c^3+a^7\,b^6\,c^2\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{\left(16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4\right)\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}+\frac{\left(\frac{\left(\frac{4\,\left(24\,a^7\,b\,c^5-46\,a^6\,b^3\,c^4+18\,a^5\,b^5\,c^3-2\,a^4\,b^7\,c^2\right)}{16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4}-\frac{2\,\left(16\,a^9\,b^2\,c^4-8\,a^8\,b^4\,c^3+a^7\,b^6\,c^2\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{\left(16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4\right)\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\left(16\,a^9\,b^2\,c^4-8\,a^8\,b^4\,c^3+a^7\,b^6\,c^2\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4\right)\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\left(16\,a^9\,b^2\,c^4-8\,a^8\,b^4\,c^3+a^7\,b^6\,c^2\right)\,{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{2\,a^6\,{\left(4\,a\,c-b^2\right)}^3\,\left(16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4\right)\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(9\,a^4\,c^4+382\,a^3\,b^2\,c^3-288\,a^2\,b^4\,c^2+72\,a\,b^6\,c-6\,b^8\right)\,\left(36\,a^4\,c^6-72\,a^3\,b^2\,c^5+48\,a^2\,b^4\,c^4-12\,a\,b^6\,c^3+b^8\,c^2\right)}-\frac{x^2\,\left(\frac{\left(\frac{4\,\left(54\,a^3\,c^8-54\,a^2\,b^2\,c^7+18\,a\,b^4\,c^6-2\,b^6\,c^5\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{\left(\frac{4\,\left(276\,a^5\,b\,c^7-233\,a^4\,b^3\,c^6+65\,a^3\,b^5\,c^5-6\,a^2\,b^7\,c^4\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{\left(\frac{4\,\left(480\,a^8\,c^7-272\,a^7\,b^2\,c^6+30\,a^6\,b^4\,c^5+6\,a^5\,b^6\,c^4-a^4\,b^8\,c^3\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{2\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)\,\left(640\,a^{10}\,b\,c^6-672\,a^9\,b^3\,c^5+264\,a^8\,b^5\,c^4-46\,a^7\,b^7\,c^3+3\,a^6\,b^9\,c^2\right)}{\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)}\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}-\frac{\left(\frac{\left(\frac{4\,\left(480\,a^8\,c^7-272\,a^7\,b^2\,c^6+30\,a^6\,b^4\,c^5+6\,a^5\,b^6\,c^4-a^4\,b^8\,c^3\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{2\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)\,\left(640\,a^{10}\,b\,c^6-672\,a^9\,b^3\,c^5+264\,a^8\,b^5\,c^4-46\,a^7\,b^7\,c^3+3\,a^6\,b^9\,c^2\right)}{\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)\,\left(640\,a^{10}\,b\,c^6-672\,a^9\,b^3\,c^5+264\,a^8\,b^5\,c^4-46\,a^7\,b^7\,c^3+3\,a^6\,b^9\,c^2\right)}{a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^2\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)\,\left(640\,a^{10}\,b\,c^6-672\,a^9\,b^3\,c^5+264\,a^8\,b^5\,c^4-46\,a^7\,b^7\,c^3+3\,a^6\,b^9\,c^2\right)}{2\,a^6\,{\left(4\,a\,c-b^2\right)}^3\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)}\right)\,\left(-3\,a^3\,c^3+36\,a^2\,b^2\,c^2-21\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(9\,a^4\,c^4+382\,a^3\,b^2\,c^3-288\,a^2\,b^4\,c^2+72\,a\,b^6\,c-6\,b^8\right)}-\frac{b\,\left(\frac{\left(\frac{\left(\frac{4\,\left(480\,a^8\,c^7-272\,a^7\,b^2\,c^6+30\,a^6\,b^4\,c^5+6\,a^5\,b^6\,c^4-a^4\,b^8\,c^3\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{2\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)\,\left(640\,a^{10}\,b\,c^6-672\,a^9\,b^3\,c^5+264\,a^8\,b^5\,c^4-46\,a^7\,b^7\,c^3+3\,a^6\,b^9\,c^2\right)}{\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)\,\left(640\,a^{10}\,b\,c^6-672\,a^9\,b^3\,c^5+264\,a^8\,b^5\,c^4-46\,a^7\,b^7\,c^3+3\,a^6\,b^9\,c^2\right)}{a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)}\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}-\frac{\left(\frac{4\,\left(276\,a^5\,b\,c^7-233\,a^4\,b^3\,c^6+65\,a^3\,b^5\,c^5-6\,a^2\,b^7\,c^4\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{\left(\frac{4\,\left(480\,a^8\,c^7-272\,a^7\,b^2\,c^6+30\,a^6\,b^4\,c^5+6\,a^5\,b^6\,c^4-a^4\,b^8\,c^3\right)}{-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6}-\frac{2\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)\,\left(640\,a^{10}\,b\,c^6-672\,a^9\,b^3\,c^5+264\,a^8\,b^5\,c^4-46\,a^7\,b^7\,c^3+3\,a^6\,b^9\,c^2\right)}{\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)}\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^3\,\left(640\,a^{10}\,b\,c^6-672\,a^9\,b^3\,c^5+264\,a^8\,b^5\,c^4-46\,a^7\,b^7\,c^3+3\,a^6\,b^9\,c^2\right)}{2\,a^9\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(-64\,a^9\,c^3+48\,a^8\,b^2\,c^2-12\,a^7\,b^4\,c+a^6\,b^6\right)}\right)\,\left(-49\,a^3\,c^3+72\,a^2\,b^2\,c^2-27\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{7/2}\,\left(9\,a^4\,c^4+382\,a^3\,b^2\,c^3-288\,a^2\,b^4\,c^2+72\,a\,b^6\,c-6\,b^8\right)}\right)\,\left(2\,a^9\,b^6\,{\left(4\,a\,c-b^2\right)}^{9/2}-128\,a^{12}\,c^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-24\,a^{10}\,b^4\,c\,{\left(4\,a\,c-b^2\right)}^{9/2}+96\,a^{11}\,b^2\,c^2\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)}{36\,a^4\,c^6-72\,a^3\,b^2\,c^5+48\,a^2\,b^4\,c^4-12\,a\,b^6\,c^3+b^8\,c^2}+\frac{b\,\left(\frac{\left(\frac{\left(\frac{4\,\left(24\,a^7\,b\,c^5-46\,a^6\,b^3\,c^4+18\,a^5\,b^5\,c^3-2\,a^4\,b^7\,c^2\right)}{16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4}-\frac{2\,\left(16\,a^9\,b^2\,c^4-8\,a^8\,b^4\,c^3+a^7\,b^6\,c^2\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{\left(16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4\right)\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\left(16\,a^9\,b^2\,c^4-8\,a^8\,b^4\,c^3+a^7\,b^6\,c^2\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4\right)\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}-\frac{\left(\frac{4\,\left(9\,a^5\,c^6-54\,a^4\,b^2\,c^5+29\,a^3\,b^4\,c^4-4\,a^2\,b^6\,c^3\right)}{16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4}-\frac{\left(\frac{4\,\left(24\,a^7\,b\,c^5-46\,a^6\,b^3\,c^4+18\,a^5\,b^5\,c^3-2\,a^4\,b^7\,c^2\right)}{16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4}-\frac{2\,\left(16\,a^9\,b^2\,c^4-8\,a^8\,b^4\,c^3+a^7\,b^6\,c^2\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{\left(16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4\right)\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{2\,\left(-64\,a^6\,c^3+48\,a^5\,b^2\,c^2-12\,a^4\,b^4\,c+a^3\,b^6\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{2\,a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{\left(16\,a^9\,b^2\,c^4-8\,a^8\,b^4\,c^3+a^7\,b^6\,c^2\right)\,{\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}^3}{2\,a^9\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^8\,c^2-8\,a^7\,b^2\,c+a^6\,b^4\right)}\right)\,\left(2\,a^9\,b^6\,{\left(4\,a\,c-b^2\right)}^{9/2}-128\,a^{12}\,c^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-24\,a^{10}\,b^4\,c\,{\left(4\,a\,c-b^2\right)}^{9/2}+96\,a^{11}\,b^2\,c^2\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)\,\left(-49\,a^3\,c^3+72\,a^2\,b^2\,c^2-27\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{7/2}\,\left(9\,a^4\,c^4+382\,a^3\,b^2\,c^3-288\,a^2\,b^4\,c^2+72\,a\,b^6\,c-6\,b^8\right)\,\left(36\,a^4\,c^6-72\,a^3\,b^2\,c^5+48\,a^2\,b^4\,c^4-12\,a\,b^6\,c^3+b^8\,c^2\right)}\right)\,\left(6\,a^2\,c^2-6\,a\,b^2\,c+b^4\right)}{a^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"(log(a + b*x^2 + c*x^4)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)) - (1/(2*a) - (x^2*(2*b^3 - 7*a*b*c))/(2*a^2*(4*a*c - b^2)) + (c*x^4*(3*a*c - b^2))/(a^2*(4*a*c - b^2)))/(a*x^2 + b*x^4 + c*x^6) - (2*b*log(x))/a^3 + (atan(((2*a^9*b^6*(4*a*c - b^2)^(9/2) - 128*a^12*c^3*(4*a*c - b^2)^(9/2) - 24*a^10*b^4*c*(4*a*c - b^2)^(9/2) + 96*a^11*b^2*c^2*(4*a*c - b^2)^(9/2))*(3*b^6 - 3*a^3*c^3 + 36*a^2*b^2*c^2 - 21*a*b^4*c)*((4*(2*b^5*c^4 - 12*a*b^3*c^5 + 18*a^2*b*c^6))/(a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c) + (((4*(9*a^5*c^6 - 4*a^2*b^6*c^3 + 29*a^3*b^4*c^4 - 54*a^4*b^2*c^5))/(a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c) - (((4*(24*a^7*b*c^5 - 2*a^4*b^7*c^2 + 18*a^5*b^5*c^3 - 46*a^6*b^3*c^4))/(a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c) - (2*(a^7*b^6*c^2 - 8*a^8*b^4*c^3 + 16*a^9*b^2*c^4)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/((a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)) + (((((4*(24*a^7*b*c^5 - 2*a^4*b^7*c^2 + 18*a^5*b^5*c^3 - 46*a^6*b^3*c^4))/(a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c) - (2*(a^7*b^6*c^2 - 8*a^8*b^4*c^3 + 16*a^9*b^2*c^4)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/((a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*(4*a*c - b^2)^(3/2)) - ((a^7*b^6*c^2 - 8*a^8*b^4*c^3 + 16*a^9*b^2*c^4)*(b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(a^3*(4*a*c - b^2)^(3/2)*(a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*(4*a*c - b^2)^(3/2)) - ((a^7*b^6*c^2 - 8*a^8*b^4*c^3 + 16*a^9*b^2*c^4)*(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(2*a^6*(4*a*c - b^2)^3*(a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2))))/(8*a^3*c^2*(4*a*c - b^2)^3*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c)*(36*a^4*c^6 + b^8*c^2 - 12*a*b^6*c^3 + 48*a^2*b^4*c^4 - 72*a^3*b^2*c^5)) - (x^2*((((4*(54*a^3*c^8 - 2*b^6*c^5 + 18*a*b^4*c^6 - 54*a^2*b^2*c^7))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (((4*(276*a^5*b*c^7 - 6*a^2*b^7*c^4 + 65*a^3*b^5*c^5 - 233*a^4*b^3*c^6))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (((4*(480*a^8*c^7 - a^4*b^8*c^3 + 6*a^5*b^6*c^4 + 30*a^6*b^4*c^5 - 272*a^7*b^2*c^6))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (2*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c)*(640*a^10*b*c^6 + 3*a^6*b^9*c^2 - 46*a^7*b^7*c^3 + 264*a^8*b^5*c^4 - 672*a^9*b^3*c^5))/((a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)))*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)) - (((((4*(480*a^8*c^7 - a^4*b^8*c^3 + 6*a^5*b^6*c^4 + 30*a^6*b^4*c^5 - 272*a^7*b^2*c^6))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (2*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c)*(640*a^10*b*c^6 + 3*a^6*b^9*c^2 - 46*a^7*b^7*c^3 + 264*a^8*b^5*c^4 - 672*a^9*b^3*c^5))/((a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*(4*a*c - b^2)^(3/2)) - ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c)*(640*a^10*b*c^6 + 3*a^6*b^9*c^2 - 46*a^7*b^7*c^3 + 264*a^8*b^5*c^4 - 672*a^9*b^3*c^5))/(a^3*(4*a*c - b^2)^(3/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^2*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c)*(640*a^10*b*c^6 + 3*a^6*b^9*c^2 - 46*a^7*b^7*c^3 + 264*a^8*b^5*c^4 - 672*a^9*b^3*c^5))/(2*a^6*(4*a*c - b^2)^3*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)))*(3*b^6 - 3*a^3*c^3 + 36*a^2*b^2*c^2 - 21*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^3*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c)) - (b*((((((4*(480*a^8*c^7 - a^4*b^8*c^3 + 6*a^5*b^6*c^4 + 30*a^6*b^4*c^5 - 272*a^7*b^2*c^6))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (2*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c)*(640*a^10*b*c^6 + 3*a^6*b^9*c^2 - 46*a^7*b^7*c^3 + 264*a^8*b^5*c^4 - 672*a^9*b^3*c^5))/((a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*(4*a*c - b^2)^(3/2)) - ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c)*(640*a^10*b*c^6 + 3*a^6*b^9*c^2 - 46*a^7*b^7*c^3 + 264*a^8*b^5*c^4 - 672*a^9*b^3*c^5))/(a^3*(4*a*c - b^2)^(3/2)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)))*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)) - (((4*(276*a^5*b*c^7 - 6*a^2*b^7*c^4 + 65*a^3*b^5*c^5 - 233*a^4*b^3*c^6))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (((4*(480*a^8*c^7 - a^4*b^8*c^3 + 6*a^5*b^6*c^4 + 30*a^6*b^4*c^5 - 272*a^7*b^2*c^6))/(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2) - (2*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c)*(640*a^10*b*c^6 + 3*a^6*b^9*c^2 - 46*a^7*b^7*c^3 + 264*a^8*b^5*c^4 - 672*a^9*b^3*c^5))/((a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)))*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*(4*a*c - b^2)^(3/2)) + ((b^4 + 6*a^2*c^2 - 6*a*b^2*c)^3*(640*a^10*b*c^6 + 3*a^6*b^9*c^2 - 46*a^7*b^7*c^3 + 264*a^8*b^5*c^4 - 672*a^9*b^3*c^5))/(2*a^9*(4*a*c - b^2)^(9/2)*(a^6*b^6 - 64*a^9*c^3 - 12*a^7*b^4*c + 48*a^8*b^2*c^2)))*(3*b^6 - 49*a^3*c^3 + 72*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c)))*(2*a^9*b^6*(4*a*c - b^2)^(9/2) - 128*a^12*c^3*(4*a*c - b^2)^(9/2) - 24*a^10*b^4*c*(4*a*c - b^2)^(9/2) + 96*a^11*b^2*c^2*(4*a*c - b^2)^(9/2)))/(36*a^4*c^6 + b^8*c^2 - 12*a*b^6*c^3 + 48*a^2*b^4*c^4 - 72*a^3*b^2*c^5) + (b*((((((4*(24*a^7*b*c^5 - 2*a^4*b^7*c^2 + 18*a^5*b^5*c^3 - 46*a^6*b^3*c^4))/(a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c) - (2*(a^7*b^6*c^2 - 8*a^8*b^4*c^3 + 16*a^9*b^2*c^4)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/((a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*(4*a*c - b^2)^(3/2)) - ((a^7*b^6*c^2 - 8*a^8*b^4*c^3 + 16*a^9*b^2*c^4)*(b^4 + 6*a^2*c^2 - 6*a*b^2*c)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(a^3*(4*a*c - b^2)^(3/2)*(a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)) - (((4*(9*a^5*c^6 - 4*a^2*b^6*c^3 + 29*a^3*b^4*c^4 - 54*a^4*b^2*c^5))/(a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c) - (((4*(24*a^7*b*c^5 - 2*a^4*b^7*c^2 + 18*a^5*b^5*c^3 - 46*a^6*b^3*c^4))/(a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c) - (2*(a^7*b^6*c^2 - 8*a^8*b^4*c^3 + 16*a^9*b^2*c^4)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/((a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c)*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/(2*(a^3*b^6 - 64*a^6*c^3 - 12*a^4*b^4*c + 48*a^5*b^2*c^2)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(2*a^3*(4*a*c - b^2)^(3/2)) + ((a^7*b^6*c^2 - 8*a^8*b^4*c^3 + 16*a^9*b^2*c^4)*(b^4 + 6*a^2*c^2 - 6*a*b^2*c)^3)/(2*a^9*(4*a*c - b^2)^(9/2)*(a^6*b^4 + 16*a^8*c^2 - 8*a^7*b^2*c)))*(2*a^9*b^6*(4*a*c - b^2)^(9/2) - 128*a^12*c^3*(4*a*c - b^2)^(9/2) - 24*a^10*b^4*c*(4*a*c - b^2)^(9/2) + 96*a^11*b^2*c^2*(4*a*c - b^2)^(9/2))*(3*b^6 - 49*a^3*c^3 + 72*a^2*b^2*c^2 - 27*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(9*a^4*c^4 - 6*b^8 - 288*a^2*b^4*c^2 + 382*a^3*b^2*c^3 + 72*a*b^6*c)*(36*a^4*c^6 + b^8*c^2 - 12*a*b^6*c^3 + 48*a^2*b^4*c^4 - 72*a^3*b^2*c^5)))*(b^4 + 6*a^2*c^2 - 6*a*b^2*c))/(a^3*(4*a*c - b^2)^(3/2))","B"
102,1,8739,361,4.906893,"\text{Not used}","int(1/(x^2*(a*x + b*x^3 + c*x^5)^2),x)","-\frac{\frac{1}{3\,a}-\frac{5\,b\,x^2}{3\,a^2}+\frac{x^4\,\left(14\,a^2\,c^2-62\,a\,b^2\,c+15\,b^4\right)}{6\,a^3\,\left(4\,a\,c-b^2\right)}+\frac{c\,x^6\,\left(5\,b^3-19\,a\,b\,c\right)}{2\,a^3\,\left(4\,a\,c-b^2\right)}}{c\,x^7+b\,x^5+a\,x^3}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(320\,a^{12}\,b^{14}\,c^2-917504\,a^{19}\,c^9-7936\,a^{13}\,b^{12}\,c^3+82816\,a^{14}\,b^{10}\,c^4-468480\,a^{15}\,b^8\,c^5+1536000\,a^{16}\,b^6\,c^6-2867200\,a^{17}\,b^4\,c^7+2719744\,a^{18}\,b^2\,c^8+x\,\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(1048576\,a^{21}\,b\,c^8-1572864\,a^{20}\,b^3\,c^7+983040\,a^{19}\,b^5\,c^6-327680\,a^{18}\,b^7\,c^5+61440\,a^{17}\,b^9\,c^4-6144\,a^{16}\,b^{11}\,c^3+256\,a^{15}\,b^{13}\,c^2\right)\right)-x\,\left(401408\,a^{16}\,c^{10}-1871872\,a^{15}\,b^2\,c^9+2401280\,a^{14}\,b^4\,c^8-1458688\,a^{13}\,b^6\,c^7+488096\,a^{12}\,b^8\,c^6-92816\,a^{11}\,b^{10}\,c^5+9440\,a^{10}\,b^{12}\,c^4-400\,a^9\,b^{14}\,c^3\right)\right)\,\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(917504\,a^{19}\,c^9-320\,a^{12}\,b^{14}\,c^2+7936\,a^{13}\,b^{12}\,c^3-82816\,a^{14}\,b^{10}\,c^4+468480\,a^{15}\,b^8\,c^5-1536000\,a^{16}\,b^6\,c^6+2867200\,a^{17}\,b^4\,c^7-2719744\,a^{18}\,b^2\,c^8+x\,\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(1048576\,a^{21}\,b\,c^8-1572864\,a^{20}\,b^3\,c^7+983040\,a^{19}\,b^5\,c^6-327680\,a^{18}\,b^7\,c^5+61440\,a^{17}\,b^9\,c^4-6144\,a^{16}\,b^{11}\,c^3+256\,a^{15}\,b^{13}\,c^2\right)\right)-x\,\left(401408\,a^{16}\,c^{10}-1871872\,a^{15}\,b^2\,c^9+2401280\,a^{14}\,b^4\,c^8-1458688\,a^{13}\,b^6\,c^7+488096\,a^{12}\,b^8\,c^6-92816\,a^{11}\,b^{10}\,c^5+9440\,a^{10}\,b^{12}\,c^4-400\,a^9\,b^{14}\,c^3\right)\right)\,\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(320\,a^{12}\,b^{14}\,c^2-917504\,a^{19}\,c^9-7936\,a^{13}\,b^{12}\,c^3+82816\,a^{14}\,b^{10}\,c^4-468480\,a^{15}\,b^8\,c^5+1536000\,a^{16}\,b^6\,c^6-2867200\,a^{17}\,b^4\,c^7+2719744\,a^{18}\,b^2\,c^8+x\,\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(1048576\,a^{21}\,b\,c^8-1572864\,a^{20}\,b^3\,c^7+983040\,a^{19}\,b^5\,c^6-327680\,a^{18}\,b^7\,c^5+61440\,a^{17}\,b^9\,c^4-6144\,a^{16}\,b^{11}\,c^3+256\,a^{15}\,b^{13}\,c^2\right)\right)-x\,\left(401408\,a^{16}\,c^{10}-1871872\,a^{15}\,b^2\,c^9+2401280\,a^{14}\,b^4\,c^8-1458688\,a^{13}\,b^6\,c^7+488096\,a^{12}\,b^8\,c^6-92816\,a^{11}\,b^{10}\,c^5+9440\,a^{10}\,b^{12}\,c^4-400\,a^9\,b^{14}\,c^3\right)\right)\,\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}-\left(\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(917504\,a^{19}\,c^9-320\,a^{12}\,b^{14}\,c^2+7936\,a^{13}\,b^{12}\,c^3-82816\,a^{14}\,b^{10}\,c^4+468480\,a^{15}\,b^8\,c^5-1536000\,a^{16}\,b^6\,c^6+2867200\,a^{17}\,b^4\,c^7-2719744\,a^{18}\,b^2\,c^8+x\,\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(1048576\,a^{21}\,b\,c^8-1572864\,a^{20}\,b^3\,c^7+983040\,a^{19}\,b^5\,c^6-327680\,a^{18}\,b^7\,c^5+61440\,a^{17}\,b^9\,c^4-6144\,a^{16}\,b^{11}\,c^3+256\,a^{15}\,b^{13}\,c^2\right)\right)-x\,\left(401408\,a^{16}\,c^{10}-1871872\,a^{15}\,b^2\,c^9+2401280\,a^{14}\,b^4\,c^8-1458688\,a^{13}\,b^6\,c^7+488096\,a^{12}\,b^8\,c^6-92816\,a^{11}\,b^{10}\,c^5+9440\,a^{10}\,b^{12}\,c^4-400\,a^9\,b^{14}\,c^3\right)\right)\,\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}+476672\,a^{13}\,b\,c^{10}+1800\,a^9\,b^9\,c^6-29080\,a^{10}\,b^7\,c^7+176032\,a^{11}\,b^5\,c^8-473216\,a^{12}\,b^3\,c^9}\right)\,\sqrt{-\frac{25\,b^{15}-25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6+49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c-246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}+165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(320\,a^{12}\,b^{14}\,c^2-917504\,a^{19}\,c^9-7936\,a^{13}\,b^{12}\,c^3+82816\,a^{14}\,b^{10}\,c^4-468480\,a^{15}\,b^8\,c^5+1536000\,a^{16}\,b^6\,c^6-2867200\,a^{17}\,b^4\,c^7+2719744\,a^{18}\,b^2\,c^8+x\,\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(1048576\,a^{21}\,b\,c^8-1572864\,a^{20}\,b^3\,c^7+983040\,a^{19}\,b^5\,c^6-327680\,a^{18}\,b^7\,c^5+61440\,a^{17}\,b^9\,c^4-6144\,a^{16}\,b^{11}\,c^3+256\,a^{15}\,b^{13}\,c^2\right)\right)-x\,\left(401408\,a^{16}\,c^{10}-1871872\,a^{15}\,b^2\,c^9+2401280\,a^{14}\,b^4\,c^8-1458688\,a^{13}\,b^6\,c^7+488096\,a^{12}\,b^8\,c^6-92816\,a^{11}\,b^{10}\,c^5+9440\,a^{10}\,b^{12}\,c^4-400\,a^9\,b^{14}\,c^3\right)\right)\,\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(917504\,a^{19}\,c^9-320\,a^{12}\,b^{14}\,c^2+7936\,a^{13}\,b^{12}\,c^3-82816\,a^{14}\,b^{10}\,c^4+468480\,a^{15}\,b^8\,c^5-1536000\,a^{16}\,b^6\,c^6+2867200\,a^{17}\,b^4\,c^7-2719744\,a^{18}\,b^2\,c^8+x\,\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(1048576\,a^{21}\,b\,c^8-1572864\,a^{20}\,b^3\,c^7+983040\,a^{19}\,b^5\,c^6-327680\,a^{18}\,b^7\,c^5+61440\,a^{17}\,b^9\,c^4-6144\,a^{16}\,b^{11}\,c^3+256\,a^{15}\,b^{13}\,c^2\right)\right)-x\,\left(401408\,a^{16}\,c^{10}-1871872\,a^{15}\,b^2\,c^9+2401280\,a^{14}\,b^4\,c^8-1458688\,a^{13}\,b^6\,c^7+488096\,a^{12}\,b^8\,c^6-92816\,a^{11}\,b^{10}\,c^5+9440\,a^{10}\,b^{12}\,c^4-400\,a^9\,b^{14}\,c^3\right)\right)\,\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(320\,a^{12}\,b^{14}\,c^2-917504\,a^{19}\,c^9-7936\,a^{13}\,b^{12}\,c^3+82816\,a^{14}\,b^{10}\,c^4-468480\,a^{15}\,b^8\,c^5+1536000\,a^{16}\,b^6\,c^6-2867200\,a^{17}\,b^4\,c^7+2719744\,a^{18}\,b^2\,c^8+x\,\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(1048576\,a^{21}\,b\,c^8-1572864\,a^{20}\,b^3\,c^7+983040\,a^{19}\,b^5\,c^6-327680\,a^{18}\,b^7\,c^5+61440\,a^{17}\,b^9\,c^4-6144\,a^{16}\,b^{11}\,c^3+256\,a^{15}\,b^{13}\,c^2\right)\right)-x\,\left(401408\,a^{16}\,c^{10}-1871872\,a^{15}\,b^2\,c^9+2401280\,a^{14}\,b^4\,c^8-1458688\,a^{13}\,b^6\,c^7+488096\,a^{12}\,b^8\,c^6-92816\,a^{11}\,b^{10}\,c^5+9440\,a^{10}\,b^{12}\,c^4-400\,a^9\,b^{14}\,c^3\right)\right)\,\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}-\left(\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(917504\,a^{19}\,c^9-320\,a^{12}\,b^{14}\,c^2+7936\,a^{13}\,b^{12}\,c^3-82816\,a^{14}\,b^{10}\,c^4+468480\,a^{15}\,b^8\,c^5-1536000\,a^{16}\,b^6\,c^6+2867200\,a^{17}\,b^4\,c^7-2719744\,a^{18}\,b^2\,c^8+x\,\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,\left(1048576\,a^{21}\,b\,c^8-1572864\,a^{20}\,b^3\,c^7+983040\,a^{19}\,b^5\,c^6-327680\,a^{18}\,b^7\,c^5+61440\,a^{17}\,b^9\,c^4-6144\,a^{16}\,b^{11}\,c^3+256\,a^{15}\,b^{13}\,c^2\right)\right)-x\,\left(401408\,a^{16}\,c^{10}-1871872\,a^{15}\,b^2\,c^9+2401280\,a^{14}\,b^4\,c^8-1458688\,a^{13}\,b^6\,c^7+488096\,a^{12}\,b^8\,c^6-92816\,a^{11}\,b^{10}\,c^5+9440\,a^{10}\,b^{12}\,c^4-400\,a^9\,b^{14}\,c^3\right)\right)\,\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}+476672\,a^{13}\,b\,c^{10}+1800\,a^9\,b^9\,c^6-29080\,a^{10}\,b^7\,c^7+176032\,a^{11}\,b^5\,c^8-473216\,a^{12}\,b^3\,c^9}\right)\,\sqrt{-\frac{25\,b^{15}+25\,b^6\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-80640\,a^7\,b\,c^7+6366\,a^2\,b^{11}\,c^2-35767\,a^3\,b^9\,c^3+116928\,a^4\,b^7\,c^4-219744\,a^5\,b^5\,c^5+215040\,a^6\,b^3\,c^6-49\,a^3\,c^3\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-615\,a\,b^{13}\,c+246\,a^2\,b^2\,c^2\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}-165\,a\,b^4\,c\,\sqrt{-{\left(4\,a\,c-b^2\right)}^9}}{32\,\left(4096\,a^{13}\,c^6-6144\,a^{12}\,b^2\,c^5+3840\,a^{11}\,b^4\,c^4-1280\,a^{10}\,b^6\,c^3+240\,a^9\,b^8\,c^2-24\,a^8\,b^{10}\,c+a^7\,b^{12}\right)}}\,2{}\mathrm{i}","Not used",1,"atan((((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(320*a^12*b^14*c^2 - 917504*a^19*c^9 - 7936*a^13*b^12*c^3 + 82816*a^14*b^10*c^4 - 468480*a^15*b^8*c^5 + 1536000*a^16*b^6*c^6 - 2867200*a^17*b^4*c^7 + 2719744*a^18*b^2*c^8 + x*(-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(1048576*a^21*b*c^8 + 256*a^15*b^13*c^2 - 6144*a^16*b^11*c^3 + 61440*a^17*b^9*c^4 - 327680*a^18*b^7*c^5 + 983040*a^19*b^5*c^6 - 1572864*a^20*b^3*c^7)) - x*(401408*a^16*c^10 - 400*a^9*b^14*c^3 + 9440*a^10*b^12*c^4 - 92816*a^11*b^10*c^5 + 488096*a^12*b^8*c^6 - 1458688*a^13*b^6*c^7 + 2401280*a^14*b^4*c^8 - 1871872*a^15*b^2*c^9))*(-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*1i + ((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(917504*a^19*c^9 - 320*a^12*b^14*c^2 + 7936*a^13*b^12*c^3 - 82816*a^14*b^10*c^4 + 468480*a^15*b^8*c^5 - 1536000*a^16*b^6*c^6 + 2867200*a^17*b^4*c^7 - 2719744*a^18*b^2*c^8 + x*(-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(1048576*a^21*b*c^8 + 256*a^15*b^13*c^2 - 6144*a^16*b^11*c^3 + 61440*a^17*b^9*c^4 - 327680*a^18*b^7*c^5 + 983040*a^19*b^5*c^6 - 1572864*a^20*b^3*c^7)) - x*(401408*a^16*c^10 - 400*a^9*b^14*c^3 + 9440*a^10*b^12*c^4 - 92816*a^11*b^10*c^5 + 488096*a^12*b^8*c^6 - 1458688*a^13*b^6*c^7 + 2401280*a^14*b^4*c^8 - 1871872*a^15*b^2*c^9))*(-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*1i)/(((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(320*a^12*b^14*c^2 - 917504*a^19*c^9 - 7936*a^13*b^12*c^3 + 82816*a^14*b^10*c^4 - 468480*a^15*b^8*c^5 + 1536000*a^16*b^6*c^6 - 2867200*a^17*b^4*c^7 + 2719744*a^18*b^2*c^8 + x*(-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(1048576*a^21*b*c^8 + 256*a^15*b^13*c^2 - 6144*a^16*b^11*c^3 + 61440*a^17*b^9*c^4 - 327680*a^18*b^7*c^5 + 983040*a^19*b^5*c^6 - 1572864*a^20*b^3*c^7)) - x*(401408*a^16*c^10 - 400*a^9*b^14*c^3 + 9440*a^10*b^12*c^4 - 92816*a^11*b^10*c^5 + 488096*a^12*b^8*c^6 - 1458688*a^13*b^6*c^7 + 2401280*a^14*b^4*c^8 - 1871872*a^15*b^2*c^9))*(-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2) - ((-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(917504*a^19*c^9 - 320*a^12*b^14*c^2 + 7936*a^13*b^12*c^3 - 82816*a^14*b^10*c^4 + 468480*a^15*b^8*c^5 - 1536000*a^16*b^6*c^6 + 2867200*a^17*b^4*c^7 - 2719744*a^18*b^2*c^8 + x*(-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(1048576*a^21*b*c^8 + 256*a^15*b^13*c^2 - 6144*a^16*b^11*c^3 + 61440*a^17*b^9*c^4 - 327680*a^18*b^7*c^5 + 983040*a^19*b^5*c^6 - 1572864*a^20*b^3*c^7)) - x*(401408*a^16*c^10 - 400*a^9*b^14*c^3 + 9440*a^10*b^12*c^4 - 92816*a^11*b^10*c^5 + 488096*a^12*b^8*c^6 - 1458688*a^13*b^6*c^7 + 2401280*a^14*b^4*c^8 - 1871872*a^15*b^2*c^9))*(-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2) + 476672*a^13*b*c^10 + 1800*a^9*b^9*c^6 - 29080*a^10*b^7*c^7 + 176032*a^11*b^5*c^8 - 473216*a^12*b^3*c^9))*(-(25*b^15 - 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 + 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c - 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) + 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*2i - (1/(3*a) - (5*b*x^2)/(3*a^2) + (x^4*(15*b^4 + 14*a^2*c^2 - 62*a*b^2*c))/(6*a^3*(4*a*c - b^2)) + (c*x^6*(5*b^3 - 19*a*b*c))/(2*a^3*(4*a*c - b^2)))/(a*x^3 + b*x^5 + c*x^7) + atan((((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(320*a^12*b^14*c^2 - 917504*a^19*c^9 - 7936*a^13*b^12*c^3 + 82816*a^14*b^10*c^4 - 468480*a^15*b^8*c^5 + 1536000*a^16*b^6*c^6 - 2867200*a^17*b^4*c^7 + 2719744*a^18*b^2*c^8 + x*(-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(1048576*a^21*b*c^8 + 256*a^15*b^13*c^2 - 6144*a^16*b^11*c^3 + 61440*a^17*b^9*c^4 - 327680*a^18*b^7*c^5 + 983040*a^19*b^5*c^6 - 1572864*a^20*b^3*c^7)) - x*(401408*a^16*c^10 - 400*a^9*b^14*c^3 + 9440*a^10*b^12*c^4 - 92816*a^11*b^10*c^5 + 488096*a^12*b^8*c^6 - 1458688*a^13*b^6*c^7 + 2401280*a^14*b^4*c^8 - 1871872*a^15*b^2*c^9))*(-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*1i + ((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(917504*a^19*c^9 - 320*a^12*b^14*c^2 + 7936*a^13*b^12*c^3 - 82816*a^14*b^10*c^4 + 468480*a^15*b^8*c^5 - 1536000*a^16*b^6*c^6 + 2867200*a^17*b^4*c^7 - 2719744*a^18*b^2*c^8 + x*(-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(1048576*a^21*b*c^8 + 256*a^15*b^13*c^2 - 6144*a^16*b^11*c^3 + 61440*a^17*b^9*c^4 - 327680*a^18*b^7*c^5 + 983040*a^19*b^5*c^6 - 1572864*a^20*b^3*c^7)) - x*(401408*a^16*c^10 - 400*a^9*b^14*c^3 + 9440*a^10*b^12*c^4 - 92816*a^11*b^10*c^5 + 488096*a^12*b^8*c^6 - 1458688*a^13*b^6*c^7 + 2401280*a^14*b^4*c^8 - 1871872*a^15*b^2*c^9))*(-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*1i)/(((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(320*a^12*b^14*c^2 - 917504*a^19*c^9 - 7936*a^13*b^12*c^3 + 82816*a^14*b^10*c^4 - 468480*a^15*b^8*c^5 + 1536000*a^16*b^6*c^6 - 2867200*a^17*b^4*c^7 + 2719744*a^18*b^2*c^8 + x*(-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(1048576*a^21*b*c^8 + 256*a^15*b^13*c^2 - 6144*a^16*b^11*c^3 + 61440*a^17*b^9*c^4 - 327680*a^18*b^7*c^5 + 983040*a^19*b^5*c^6 - 1572864*a^20*b^3*c^7)) - x*(401408*a^16*c^10 - 400*a^9*b^14*c^3 + 9440*a^10*b^12*c^4 - 92816*a^11*b^10*c^5 + 488096*a^12*b^8*c^6 - 1458688*a^13*b^6*c^7 + 2401280*a^14*b^4*c^8 - 1871872*a^15*b^2*c^9))*(-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2) - ((-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(917504*a^19*c^9 - 320*a^12*b^14*c^2 + 7936*a^13*b^12*c^3 - 82816*a^14*b^10*c^4 + 468480*a^15*b^8*c^5 - 1536000*a^16*b^6*c^6 + 2867200*a^17*b^4*c^7 - 2719744*a^18*b^2*c^8 + x*(-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*(1048576*a^21*b*c^8 + 256*a^15*b^13*c^2 - 6144*a^16*b^11*c^3 + 61440*a^17*b^9*c^4 - 327680*a^18*b^7*c^5 + 983040*a^19*b^5*c^6 - 1572864*a^20*b^3*c^7)) - x*(401408*a^16*c^10 - 400*a^9*b^14*c^3 + 9440*a^10*b^12*c^4 - 92816*a^11*b^10*c^5 + 488096*a^12*b^8*c^6 - 1458688*a^13*b^6*c^7 + 2401280*a^14*b^4*c^8 - 1871872*a^15*b^2*c^9))*(-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2) + 476672*a^13*b*c^10 + 1800*a^9*b^9*c^6 - 29080*a^10*b^7*c^7 + 176032*a^11*b^5*c^8 - 473216*a^12*b^3*c^9))*(-(25*b^15 + 25*b^6*(-(4*a*c - b^2)^9)^(1/2) - 80640*a^7*b*c^7 + 6366*a^2*b^11*c^2 - 35767*a^3*b^9*c^3 + 116928*a^4*b^7*c^4 - 219744*a^5*b^5*c^5 + 215040*a^6*b^3*c^6 - 49*a^3*c^3*(-(4*a*c - b^2)^9)^(1/2) - 615*a*b^13*c + 246*a^2*b^2*c^2*(-(4*a*c - b^2)^9)^(1/2) - 165*a*b^4*c*(-(4*a*c - b^2)^9)^(1/2))/(32*(a^7*b^12 + 4096*a^13*c^6 - 24*a^8*b^10*c + 240*a^9*b^8*c^2 - 1280*a^10*b^6*c^3 + 3840*a^11*b^4*c^4 - 6144*a^12*b^2*c^5)))^(1/2)*2i","B"
103,1,5999,219,7.473427,"\text{Not used}","int(1/(x^3*(a*x + b*x^3 + c*x^5)^2),x)","\frac{b\,\mathrm{atan}\left(\frac{x^2\,\left(\frac{\left(\frac{\left(\frac{b\,\left(\frac{2240\,a^{10}\,b\,c^7-1248\,a^9\,b^3\,c^6+108\,a^8\,b^5\,c^5+40\,a^7\,b^7\,c^4-6\,a^6\,b^9\,c^3}{-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6}-\frac{\left(2560\,a^{13}\,b\,c^6-2688\,a^{12}\,b^3\,c^5+1056\,a^{11}\,b^5\,c^4-184\,a^{10}\,b^7\,c^3+12\,a^9\,b^9\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}{4\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{b\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)\,\left(2560\,a^{13}\,b\,c^6-2688\,a^{12}\,b^3\,c^5+1056\,a^{11}\,b^5\,c^4-184\,a^{10}\,b^7\,c^3+12\,a^9\,b^9\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{8\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}+\frac{b\,\left(\frac{1760\,a^7\,b\,c^8-4484\,a^6\,b^3\,c^7+2775\,a^5\,b^5\,c^6-657\,a^4\,b^7\,c^5+54\,a^3\,b^9\,c^4}{-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6}+\frac{\left(\frac{2240\,a^{10}\,b\,c^7-1248\,a^9\,b^3\,c^6+108\,a^8\,b^5\,c^5+40\,a^7\,b^7\,c^4-6\,a^6\,b^9\,c^3}{-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6}-\frac{\left(2560\,a^{13}\,b\,c^6-2688\,a^{12}\,b^3\,c^5+1056\,a^{11}\,b^5\,c^4-184\,a^{10}\,b^7\,c^3+12\,a^9\,b^9\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}{4\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b^3\,{\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}^3\,\left(2560\,a^{13}\,b\,c^6-2688\,a^{12}\,b^3\,c^5+1056\,a^{11}\,b^5\,c^4-184\,a^{10}\,b^7\,c^3+12\,a^9\,b^9\,c^2\right)}{64\,a^{12}\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6\right)}\right)\,\left(80\,a^4\,c^4-285\,a^3\,b^2\,c^3+270\,a^2\,b^4\,c^2-87\,a\,b^6\,c+9\,b^8\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{7/2}\,\left(-1600\,a^5\,c^5+5775\,a^4\,b^2\,c^4-7200\,a^3\,b^4\,c^3+3480\,a^2\,b^6\,c^2-720\,a\,b^8\,c+54\,b^{10}\right)}+\frac{3\,b\,\left(\frac{-1331\,a^3\,b^3\,c^8+1089\,a^2\,b^5\,c^7-297\,a\,b^7\,c^6+27\,b^9\,c^5}{-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6}-\frac{\left(\frac{1760\,a^7\,b\,c^8-4484\,a^6\,b^3\,c^7+2775\,a^5\,b^5\,c^6-657\,a^4\,b^7\,c^5+54\,a^3\,b^9\,c^4}{-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6}+\frac{\left(\frac{2240\,a^{10}\,b\,c^7-1248\,a^9\,b^3\,c^6+108\,a^8\,b^5\,c^5+40\,a^7\,b^7\,c^4-6\,a^6\,b^9\,c^3}{-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6}-\frac{\left(2560\,a^{13}\,b\,c^6-2688\,a^{12}\,b^3\,c^5+1056\,a^{11}\,b^5\,c^4-184\,a^{10}\,b^7\,c^3+12\,a^9\,b^9\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}+\frac{b\,\left(\frac{b\,\left(\frac{2240\,a^{10}\,b\,c^7-1248\,a^9\,b^3\,c^6+108\,a^8\,b^5\,c^5+40\,a^7\,b^7\,c^4-6\,a^6\,b^9\,c^3}{-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6}-\frac{\left(2560\,a^{13}\,b\,c^6-2688\,a^{12}\,b^3\,c^5+1056\,a^{11}\,b^5\,c^4-184\,a^{10}\,b^7\,c^3+12\,a^9\,b^9\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}{4\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{b\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)\,\left(2560\,a^{13}\,b\,c^6-2688\,a^{12}\,b^3\,c^5+1056\,a^{11}\,b^5\,c^4-184\,a^{10}\,b^7\,c^3+12\,a^9\,b^9\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{8\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}{4\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{b^2\,{\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}^2\,\left(2560\,a^{13}\,b\,c^6-2688\,a^{12}\,b^3\,c^5+1056\,a^{11}\,b^5\,c^4-184\,a^{10}\,b^7\,c^3+12\,a^9\,b^9\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{32\,a^8\,{\left(4\,a\,c-b^2\right)}^3\,\left(-64\,a^{12}\,c^3+48\,a^{11}\,b^2\,c^2-12\,a^{10}\,b^4\,c+a^9\,b^6\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(-25\,a^3\,c^3+50\,a^2\,b^2\,c^2-23\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(-1600\,a^5\,c^5+5775\,a^4\,b^2\,c^4-7200\,a^3\,b^4\,c^3+3480\,a^2\,b^6\,c^2-720\,a\,b^8\,c+54\,b^{10}\right)}\right)\,\left(16\,a^{12}\,b^6\,{\left(4\,a\,c-b^2\right)}^{9/2}-1024\,a^{15}\,c^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-192\,a^{13}\,b^4\,c\,{\left(4\,a\,c-b^2\right)}^{9/2}+768\,a^{14}\,b^2\,c^2\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)}{900\,a^4\,b^2\,c^6-1200\,a^3\,b^4\,c^5+580\,a^2\,b^6\,c^4-120\,a\,b^8\,c^3+9\,b^{10}\,c^2}+\frac{\left(\frac{b\,\left(\frac{-473\,a^6\,b^2\,c^6+778\,a^5\,b^4\,c^5-309\,a^4\,b^6\,c^4+36\,a^3\,b^8\,c^3}{16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4}-\frac{\left(\frac{-304\,a^9\,b^2\,c^5+348\,a^8\,b^4\,c^4-116\,a^7\,b^6\,c^3+12\,a^6\,b^8\,c^2}{16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4}+\frac{\left(64\,a^{12}\,b^2\,c^4-32\,a^{11}\,b^4\,c^3+4\,a^{10}\,b^6\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}{4\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\left(\frac{b\,\left(\frac{-304\,a^9\,b^2\,c^5+348\,a^8\,b^4\,c^4-116\,a^7\,b^6\,c^3+12\,a^6\,b^8\,c^2}{16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4}+\frac{\left(64\,a^{12}\,b^2\,c^4-32\,a^{11}\,b^4\,c^3+4\,a^{10}\,b^6\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}{4\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)\,\left(64\,a^{12}\,b^2\,c^4-32\,a^{11}\,b^4\,c^3+4\,a^{10}\,b^6\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{8\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}+\frac{b^3\,{\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}^3\,\left(64\,a^{12}\,b^2\,c^4-32\,a^{11}\,b^4\,c^3+4\,a^{10}\,b^6\,c^2\right)}{64\,a^{12}\,{\left(4\,a\,c-b^2\right)}^{9/2}\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)}\right)\,\left(16\,a^{12}\,b^6\,{\left(4\,a\,c-b^2\right)}^{9/2}-1024\,a^{15}\,c^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-192\,a^{13}\,b^4\,c\,{\left(4\,a\,c-b^2\right)}^{9/2}+768\,a^{14}\,b^2\,c^2\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)\,\left(80\,a^4\,c^4-285\,a^3\,b^2\,c^3+270\,a^2\,b^4\,c^2-87\,a\,b^6\,c+9\,b^8\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^{7/2}\,\left(900\,a^4\,b^2\,c^6-1200\,a^3\,b^4\,c^5+580\,a^2\,b^6\,c^4-120\,a\,b^8\,c^3+9\,b^{10}\,c^2\right)\,\left(-1600\,a^5\,c^5+5775\,a^4\,b^2\,c^4-7200\,a^3\,b^4\,c^3+3480\,a^2\,b^6\,c^2-720\,a\,b^8\,c+54\,b^{10}\right)}-\frac{3\,b\,\left(16\,a^{12}\,b^6\,{\left(4\,a\,c-b^2\right)}^{9/2}-1024\,a^{15}\,c^3\,{\left(4\,a\,c-b^2\right)}^{9/2}-192\,a^{13}\,b^4\,c\,{\left(4\,a\,c-b^2\right)}^{9/2}+768\,a^{14}\,b^2\,c^2\,{\left(4\,a\,c-b^2\right)}^{9/2}\right)\,\left(\frac{\left(\frac{-473\,a^6\,b^2\,c^6+778\,a^5\,b^4\,c^5-309\,a^4\,b^6\,c^4+36\,a^3\,b^8\,c^3}{16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4}-\frac{\left(\frac{-304\,a^9\,b^2\,c^5+348\,a^8\,b^4\,c^4-116\,a^7\,b^6\,c^3+12\,a^6\,b^8\,c^2}{16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4}+\frac{\left(64\,a^{12}\,b^2\,c^4-32\,a^{11}\,b^4\,c^3+4\,a^{10}\,b^6\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}-\frac{-242\,a^3\,b^2\,c^7+495\,a^2\,b^4\,c^6-216\,a\,b^6\,c^5+27\,b^8\,c^4}{16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4}+\frac{b\,\left(\frac{b\,\left(\frac{-304\,a^9\,b^2\,c^5+348\,a^8\,b^4\,c^4-116\,a^7\,b^6\,c^3+12\,a^6\,b^8\,c^2}{16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4}+\frac{\left(64\,a^{12}\,b^2\,c^4-32\,a^{11}\,b^4\,c^3+4\,a^{10}\,b^6\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}{4\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)\,\left(64\,a^{12}\,b^2\,c^4-32\,a^{11}\,b^4\,c^3+4\,a^{10}\,b^6\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{8\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}{4\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{b^2\,{\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}^2\,\left(64\,a^{12}\,b^2\,c^4-32\,a^{11}\,b^4\,c^3+4\,a^{10}\,b^6\,c^2\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{32\,a^8\,{\left(4\,a\,c-b^2\right)}^3\,\left(16\,a^{11}\,c^2-8\,a^{10}\,b^2\,c+a^9\,b^4\right)\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}\right)\,\left(-25\,a^3\,c^3+50\,a^2\,b^2\,c^2-23\,a\,b^4\,c+3\,b^6\right)}{8\,a^3\,c^2\,{\left(4\,a\,c-b^2\right)}^3\,\left(900\,a^4\,b^2\,c^6-1200\,a^3\,b^4\,c^5+580\,a^2\,b^6\,c^4-120\,a\,b^8\,c^3+9\,b^{10}\,c^2\right)\,\left(-1600\,a^5\,c^5+5775\,a^4\,b^2\,c^4-7200\,a^3\,b^4\,c^3+3480\,a^2\,b^6\,c^2-720\,a\,b^8\,c+54\,b^{10}\right)}\right)\,\left(30\,a^2\,c^2-20\,a\,b^2\,c+3\,b^4\right)}{2\,a^4\,{\left(4\,a\,c-b^2\right)}^{3/2}}-\frac{\ln\left(x\right)\,\left(2\,a\,c-3\,b^2\right)}{a^4}-\frac{\ln\left(c\,x^4+b\,x^2+a\right)\,\left(256\,a^4\,c^4-576\,a^3\,b^2\,c^3+336\,a^2\,b^4\,c^2-76\,a\,b^6\,c+6\,b^8\right)}{2\,\left(-256\,a^7\,c^3+192\,a^6\,b^2\,c^2-48\,a^5\,b^4\,c+4\,a^4\,b^6\right)}-\frac{\frac{1}{4\,a}-\frac{3\,b\,x^2}{4\,a^2}+\frac{x^4\,\left(8\,a^2\,c^2-25\,a\,b^2\,c+6\,b^4\right)}{4\,a^3\,\left(4\,a\,c-b^2\right)}-\frac{b\,c\,x^6\,\left(11\,a\,c-3\,b^2\right)}{2\,a^3\,\left(4\,a\,c-b^2\right)}}{c\,x^8+b\,x^6+a\,x^4}","Not used",1,"(b*atan((x^2*((((((b*((2240*a^10*b*c^7 - 6*a^6*b^9*c^3 + 40*a^7*b^7*c^4 + 108*a^8*b^5*c^5 - 1248*a^9*b^3*c^6)/(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2) - ((2560*a^13*b*c^6 + 12*a^9*b^9*c^2 - 184*a^10*b^7*c^3 + 1056*a^11*b^5*c^4 - 2688*a^12*b^3*c^5)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c))/(4*a^4*(4*a*c - b^2)^(3/2)) - (b*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c)*(2560*a^13*b*c^6 + 12*a^9*b^9*c^2 - 184*a^10*b^7*c^3 + 1056*a^11*b^5*c^4 - 2688*a^12*b^3*c^5)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(8*a^4*(4*a*c - b^2)^(3/2)*(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)) + (b*((1760*a^7*b*c^8 + 54*a^3*b^9*c^4 - 657*a^4*b^7*c^5 + 2775*a^5*b^5*c^6 - 4484*a^6*b^3*c^7)/(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2) + (((2240*a^10*b*c^7 - 6*a^6*b^9*c^3 + 40*a^7*b^7*c^4 + 108*a^8*b^5*c^5 - 1248*a^9*b^3*c^6)/(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2) - ((2560*a^13*b*c^6 + 12*a^9*b^9*c^2 - 184*a^10*b^7*c^3 + 1056*a^11*b^5*c^4 - 2688*a^12*b^3*c^5)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c))/(4*a^4*(4*a*c - b^2)^(3/2)) + (b^3*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c)^3*(2560*a^13*b*c^6 + 12*a^9*b^9*c^2 - 184*a^10*b^7*c^3 + 1056*a^11*b^5*c^4 - 2688*a^12*b^3*c^5))/(64*a^12*(4*a*c - b^2)^(9/2)*(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2)))*(9*b^8 + 80*a^4*c^4 + 270*a^2*b^4*c^2 - 285*a^3*b^2*c^3 - 87*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(54*b^10 - 1600*a^5*c^5 + 3480*a^2*b^6*c^2 - 7200*a^3*b^4*c^3 + 5775*a^4*b^2*c^4 - 720*a*b^8*c)) + (3*b*((27*b^9*c^5 - 297*a*b^7*c^6 + 1089*a^2*b^5*c^7 - 1331*a^3*b^3*c^8)/(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2) - (((1760*a^7*b*c^8 + 54*a^3*b^9*c^4 - 657*a^4*b^7*c^5 + 2775*a^5*b^5*c^6 - 4484*a^6*b^3*c^7)/(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2) + (((2240*a^10*b*c^7 - 6*a^6*b^9*c^3 + 40*a^7*b^7*c^4 + 108*a^8*b^5*c^5 - 1248*a^9*b^3*c^6)/(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2) - ((2560*a^13*b*c^6 + 12*a^9*b^9*c^2 - 184*a^10*b^7*c^3 + 1056*a^11*b^5*c^4 - 2688*a^12*b^3*c^5)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)) + (b*((b*((2240*a^10*b*c^7 - 6*a^6*b^9*c^3 + 40*a^7*b^7*c^4 + 108*a^8*b^5*c^5 - 1248*a^9*b^3*c^6)/(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2) - ((2560*a^13*b*c^6 + 12*a^9*b^9*c^2 - 184*a^10*b^7*c^3 + 1056*a^11*b^5*c^4 - 2688*a^12*b^3*c^5)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c))/(4*a^4*(4*a*c - b^2)^(3/2)) - (b*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c)*(2560*a^13*b*c^6 + 12*a^9*b^9*c^2 - 184*a^10*b^7*c^3 + 1056*a^11*b^5*c^4 - 2688*a^12*b^3*c^5)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(8*a^4*(4*a*c - b^2)^(3/2)*(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c))/(4*a^4*(4*a*c - b^2)^(3/2)) - (b^2*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c)^2*(2560*a^13*b*c^6 + 12*a^9*b^9*c^2 - 184*a^10*b^7*c^3 + 1056*a^11*b^5*c^4 - 2688*a^12*b^3*c^5)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(32*a^8*(4*a*c - b^2)^3*(a^9*b^6 - 64*a^12*c^3 - 12*a^10*b^4*c + 48*a^11*b^2*c^2)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(3*b^6 - 25*a^3*c^3 + 50*a^2*b^2*c^2 - 23*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^3*(54*b^10 - 1600*a^5*c^5 + 3480*a^2*b^6*c^2 - 7200*a^3*b^4*c^3 + 5775*a^4*b^2*c^4 - 720*a*b^8*c)))*(16*a^12*b^6*(4*a*c - b^2)^(9/2) - 1024*a^15*c^3*(4*a*c - b^2)^(9/2) - 192*a^13*b^4*c*(4*a*c - b^2)^(9/2) + 768*a^14*b^2*c^2*(4*a*c - b^2)^(9/2)))/(9*b^10*c^2 - 120*a*b^8*c^3 + 580*a^2*b^6*c^4 - 1200*a^3*b^4*c^5 + 900*a^4*b^2*c^6) + (((b*((36*a^3*b^8*c^3 - 309*a^4*b^6*c^4 + 778*a^5*b^4*c^5 - 473*a^6*b^2*c^6)/(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c) - (((12*a^6*b^8*c^2 - 116*a^7*b^6*c^3 + 348*a^8*b^4*c^4 - 304*a^9*b^2*c^5)/(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c) + ((4*a^10*b^6*c^2 - 32*a^11*b^4*c^3 + 64*a^12*b^2*c^4)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c))/(4*a^4*(4*a*c - b^2)^(3/2)) - (((b*((12*a^6*b^8*c^2 - 116*a^7*b^6*c^3 + 348*a^8*b^4*c^4 - 304*a^9*b^2*c^5)/(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c) + ((4*a^10*b^6*c^2 - 32*a^11*b^4*c^3 + 64*a^12*b^2*c^4)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c))/(4*a^4*(4*a*c - b^2)^(3/2)) + (b*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c)*(4*a^10*b^6*c^2 - 32*a^11*b^4*c^3 + 64*a^12*b^2*c^4)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(8*a^4*(4*a*c - b^2)^(3/2)*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)) + (b^3*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c)^3*(4*a^10*b^6*c^2 - 32*a^11*b^4*c^3 + 64*a^12*b^2*c^4))/(64*a^12*(4*a*c - b^2)^(9/2)*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)))*(16*a^12*b^6*(4*a*c - b^2)^(9/2) - 1024*a^15*c^3*(4*a*c - b^2)^(9/2) - 192*a^13*b^4*c*(4*a*c - b^2)^(9/2) + 768*a^14*b^2*c^2*(4*a*c - b^2)^(9/2))*(9*b^8 + 80*a^4*c^4 + 270*a^2*b^4*c^2 - 285*a^3*b^2*c^3 - 87*a*b^6*c))/(8*a^3*c^2*(4*a*c - b^2)^(7/2)*(9*b^10*c^2 - 120*a*b^8*c^3 + 580*a^2*b^6*c^4 - 1200*a^3*b^4*c^5 + 900*a^4*b^2*c^6)*(54*b^10 - 1600*a^5*c^5 + 3480*a^2*b^6*c^2 - 7200*a^3*b^4*c^3 + 5775*a^4*b^2*c^4 - 720*a*b^8*c)) - (3*b*(16*a^12*b^6*(4*a*c - b^2)^(9/2) - 1024*a^15*c^3*(4*a*c - b^2)^(9/2) - 192*a^13*b^4*c*(4*a*c - b^2)^(9/2) + 768*a^14*b^2*c^2*(4*a*c - b^2)^(9/2))*((((36*a^3*b^8*c^3 - 309*a^4*b^6*c^4 + 778*a^5*b^4*c^5 - 473*a^6*b^2*c^6)/(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c) - (((12*a^6*b^8*c^2 - 116*a^7*b^6*c^3 + 348*a^8*b^4*c^4 - 304*a^9*b^2*c^5)/(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c) + ((4*a^10*b^6*c^2 - 32*a^11*b^4*c^3 + 64*a^12*b^2*c^4)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)) - (27*b^8*c^4 - 216*a*b^6*c^5 + 495*a^2*b^4*c^6 - 242*a^3*b^2*c^7)/(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c) + (b*((b*((12*a^6*b^8*c^2 - 116*a^7*b^6*c^3 + 348*a^8*b^4*c^4 - 304*a^9*b^2*c^5)/(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c) + ((4*a^10*b^6*c^2 - 32*a^11*b^4*c^3 + 64*a^12*b^2*c^4)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c))/(4*a^4*(4*a*c - b^2)^(3/2)) + (b*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c)*(4*a^10*b^6*c^2 - 32*a^11*b^4*c^3 + 64*a^12*b^2*c^4)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(8*a^4*(4*a*c - b^2)^(3/2)*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c))/(4*a^4*(4*a*c - b^2)^(3/2)) + (b^2*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c)^2*(4*a^10*b^6*c^2 - 32*a^11*b^4*c^3 + 64*a^12*b^2*c^4)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(32*a^8*(4*a*c - b^2)^3*(a^9*b^4 + 16*a^11*c^2 - 8*a^10*b^2*c)*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)))*(3*b^6 - 25*a^3*c^3 + 50*a^2*b^2*c^2 - 23*a*b^4*c))/(8*a^3*c^2*(4*a*c - b^2)^3*(9*b^10*c^2 - 120*a*b^8*c^3 + 580*a^2*b^6*c^4 - 1200*a^3*b^4*c^5 + 900*a^4*b^2*c^6)*(54*b^10 - 1600*a^5*c^5 + 3480*a^2*b^6*c^2 - 7200*a^3*b^4*c^3 + 5775*a^4*b^2*c^4 - 720*a*b^8*c)))*(3*b^4 + 30*a^2*c^2 - 20*a*b^2*c))/(2*a^4*(4*a*c - b^2)^(3/2)) - (log(x)*(2*a*c - 3*b^2))/a^4 - (log(a + b*x^2 + c*x^4)*(6*b^8 + 256*a^4*c^4 + 336*a^2*b^4*c^2 - 576*a^3*b^2*c^3 - 76*a*b^6*c))/(2*(4*a^4*b^6 - 256*a^7*c^3 - 48*a^5*b^4*c + 192*a^6*b^2*c^2)) - (1/(4*a) - (3*b*x^2)/(4*a^2) + (x^4*(6*b^4 + 8*a^2*c^2 - 25*a*b^2*c))/(4*a^3*(4*a*c - b^2)) - (b*c*x^6*(11*a*c - 3*b^2))/(2*a^3*(4*a*c - b^2)))/(a*x^4 + b*x^6 + c*x^8)","B"
104,0,-1,142,0.000000,"\text{Not used}","int(x/(a*x + b*x^3 + c*x^5)^(1/2),x)","\int \frac{x}{\sqrt{c\,x^5+b\,x^3+a\,x}} \,d x","Not used",1,"int(x/(a*x + b*x^3 + c*x^5)^(1/2), x)","F"
105,0,-1,380,0.000000,"\text{Not used}","int(x^(3/2)*(a*x + b*x^3 + c*x^5)^(1/2),x)","\int x^{3/2}\,\sqrt{c\,x^5+b\,x^3+a\,x} \,d x","Not used",1,"int(x^(3/2)*(a*x + b*x^3 + c*x^5)^(1/2), x)","F"
106,0,-1,129,0.000000,"\text{Not used}","int(x^(1/2)*(a*x + b*x^3 + c*x^5)^(1/2),x)","\int \sqrt{x}\,\sqrt{c\,x^5+b\,x^3+a\,x} \,d x","Not used",1,"int(x^(1/2)*(a*x + b*x^3 + c*x^5)^(1/2), x)","F"
107,0,-1,347,0.000000,"\text{Not used}","int((a*x + b*x^3 + c*x^5)^(1/2)/x^(1/2),x)","\int \frac{\sqrt{c\,x^5+b\,x^3+a\,x}}{\sqrt{x}} \,d x","Not used",1,"int((a*x + b*x^3 + c*x^5)^(1/2)/x^(1/2), x)","F"
108,0,-1,194,0.000000,"\text{Not used}","int((a*x + b*x^3 + c*x^5)^(1/2)/x^(3/2),x)","\int \frac{\sqrt{c\,x^5+b\,x^3+a\,x}}{x^{3/2}} \,d x","Not used",1,"int((a*x + b*x^3 + c*x^5)^(1/2)/x^(3/2), x)","F"
109,0,-1,244,0.000000,"\text{Not used}","int(x^(3/2)*(a*x + b*x^3 + c*x^5)^(3/2),x)","\int x^{3/2}\,{\left(c\,x^5+b\,x^3+a\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(3/2)*(a*x + b*x^3 + c*x^5)^(3/2), x)","F"
110,0,-1,487,0.000000,"\text{Not used}","int(x^(1/2)*(a*x + b*x^3 + c*x^5)^(3/2),x)","\int \sqrt{x}\,{\left(c\,x^5+b\,x^3+a\,x\right)}^{3/2} \,d x","Not used",1,"int(x^(1/2)*(a*x + b*x^3 + c*x^5)^(3/2), x)","F"
111,0,-1,177,0.000000,"\text{Not used}","int((a*x + b*x^3 + c*x^5)^(3/2)/x^(1/2),x)","\int \frac{{\left(c\,x^5+b\,x^3+a\,x\right)}^{3/2}}{\sqrt{x}} \,d x","Not used",1,"int((a*x + b*x^3 + c*x^5)^(3/2)/x^(1/2), x)","F"
112,0,-1,425,0.000000,"\text{Not used}","int((a*x + b*x^3 + c*x^5)^(3/2)/x^(3/2),x)","\int \frac{{\left(c\,x^5+b\,x^3+a\,x\right)}^{3/2}}{x^{3/2}} \,d x","Not used",1,"int((a*x + b*x^3 + c*x^5)^(3/2)/x^(3/2), x)","F"
113,0,-1,82,0.000000,"\text{Not used}","int(x^(3/2)/(a*x + b*x^3 + c*x^5)^(1/2),x)","\int \frac{x^{3/2}}{\sqrt{c\,x^5+b\,x^3+a\,x}} \,d x","Not used",1,"int(x^(3/2)/(a*x + b*x^3 + c*x^5)^(1/2), x)","F"
114,0,-1,121,0.000000,"\text{Not used}","int(x^(1/2)/(a*x + b*x^3 + c*x^5)^(1/2),x)","\int \frac{\sqrt{x}}{\sqrt{c\,x^5+b\,x^3+a\,x}} \,d x","Not used",1,"int(x^(1/2)/(a*x + b*x^3 + c*x^5)^(1/2), x)","F"
115,0,-1,51,0.000000,"\text{Not used}","int(1/(x^(1/2)*(a*x + b*x^3 + c*x^5)^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{c\,x^5+b\,x^3+a\,x}} \,d x","Not used",1,"int(1/(x^(1/2)*(a*x + b*x^3 + c*x^5)^(1/2)), x)","F"
116,0,-1,330,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a*x + b*x^3 + c*x^5)^(1/2)),x)","\int \frac{1}{x^{3/2}\,\sqrt{c\,x^5+b\,x^3+a\,x}} \,d x","Not used",1,"int(1/(x^(3/2)*(a*x + b*x^3 + c*x^5)^(1/2)), x)","F"
117,0,-1,391,0.000000,"\text{Not used}","int(x^(3/2)/(a*x + b*x^3 + c*x^5)^(3/2),x)","\int \frac{x^{3/2}}{{\left(c\,x^5+b\,x^3+a\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^(3/2)/(a*x + b*x^3 + c*x^5)^(3/2), x)","F"
118,0,-1,103,0.000000,"\text{Not used}","int(x^(1/2)/(a*x + b*x^3 + c*x^5)^(3/2),x)","\int \frac{\sqrt{x}}{{\left(c\,x^5+b\,x^3+a\,x\right)}^{3/2}} \,d x","Not used",1,"int(x^(1/2)/(a*x + b*x^3 + c*x^5)^(3/2), x)","F"
119,0,-1,468,0.000000,"\text{Not used}","int(1/(x^(1/2)*(a*x + b*x^3 + c*x^5)^(3/2)),x)","\int \frac{1}{\sqrt{x}\,{\left(c\,x^5+b\,x^3+a\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^(1/2)*(a*x + b*x^3 + c*x^5)^(3/2)), x)","F"
120,0,-1,154,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a*x + b*x^3 + c*x^5)^(3/2)),x)","\int \frac{1}{x^{3/2}\,{\left(c\,x^5+b\,x^3+a\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^(3/2)*(a*x + b*x^3 + c*x^5)^(3/2)), x)","F"
121,0,-1,51,0.000000,"\text{Not used}","int(x^((3*n)/2 - 3/2)/(b*x^n + a*x^(n - 1) + c*x^(n + 1))^(3/2),x)","\int \frac{x^{\frac{3\,n}{2}-\frac{3}{2}}}{{\left(b\,x^n+a\,x^{n-1}+c\,x^{n+1}\right)}^{3/2}} \,d x","Not used",1,"int(x^((3*n)/2 - 3/2)/(b*x^n + a*x^(n - 1) + c*x^(n + 1))^(3/2), x)","F"
122,0,-1,287,0.000000,"\text{Not used}","int((x*(d + e*x^2))/(a*x + b*x^3 + c*x^5)^(1/2),x)","\int \frac{x\,\left(e\,x^2+d\right)}{\sqrt{c\,x^5+b\,x^3+a\,x}} \,d x","Not used",1,"int((x*(d + e*x^2))/(a*x + b*x^3 + c*x^5)^(1/2), x)","F"
123,0,-1,45,0.000000,"\text{Not used}","int(1/(3*x^2 - 3*x^4 + x^6)^(1/2),x)","\int \frac{1}{\sqrt{x^6-3\,x^4+3\,x^2}} \,d x","Not used",1,"int(1/(3*x^2 - 3*x^4 + x^6)^(1/2), x)","F"
124,0,-1,45,0.000000,"\text{Not used}","int(1/(x^2*(x^4 - 3*x^2 + 3))^(1/2),x)","\int \frac{1}{\sqrt{x^2\,\left(x^4-3\,x^2+3\right)}} \,d x","Not used",1,"int(1/(x^2*(x^4 - 3*x^2 + 3))^(1/2), x)","F"
125,0,-1,45,0.000000,"\text{Not used}","int(1/((x^2 - 1)^3 + 1)^(1/2),x)","\int \frac{1}{\sqrt{{\left(x^2-1\right)}^3+1}} \,d x","Not used",1,"int(1/((x^2 - 1)^3 + 1)^(1/2), x)","F"
126,0,-1,86,0.000000,"\text{Not used}","int((3*x^2 - 3*x^4 + x^6)^(1/2),x)","\int \sqrt{x^6-3\,x^4+3\,x^2} \,d x","Not used",1,"int((3*x^2 - 3*x^4 + x^6)^(1/2), x)","F"
127,0,-1,86,0.000000,"\text{Not used}","int((x^2*(x^4 - 3*x^2 + 3))^(1/2),x)","\int \sqrt{x^2\,\left(x^4-3\,x^2+3\right)} \,d x","Not used",1,"int((x^2*(x^4 - 3*x^2 + 3))^(1/2), x)","F"
128,0,-1,86,0.000000,"\text{Not used}","int(((x^2 - 1)^3 + 1)^(1/2),x)","\int \sqrt{{\left(x^2-1\right)}^3+1} \,d x","Not used",1,"int(((x^2 - 1)^3 + 1)^(1/2), x)","F"
129,1,34,38,0.080103,"\text{Not used}","int(1/(x*(a + b*x + c*x^2)^(1/2)),x)","-\frac{\ln\left(\frac{b}{2}+\frac{a}{x}+\frac{\sqrt{a}\,\sqrt{c\,x^2+b\,x+a}}{x}\right)}{\sqrt{a}}","Not used",1,"-log(b/2 + a/x + (a^(1/2)*(a + b*x + c*x^2)^(1/2))/x)/a^(1/2)","B"
130,0,-1,45,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x + c*x^2))^(1/2),x)","\int \frac{1}{\sqrt{x^2\,\left(c\,x^2+b\,x+a\right)}} \,d x","Not used",1,"int(1/(x^2*(a + b*x + c*x^2))^(1/2), x)","F"
131,0,-1,47,0.000000,"\text{Not used}","int(1/(x^(1/2)*(x*(a + b*x + c*x^2))^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{x\,\left(c\,x^2+b\,x+a\right)}} \,d x","Not used",1,"int(1/(x^(1/2)*(x*(a + b*x + c*x^2))^(1/2)), x)","F"
132,0,-1,49,0.000000,"\text{Not used}","int(x^(1/2)/(x^3*(a + b*x + c*x^2))^(1/2),x)","\int \frac{\sqrt{x}}{\sqrt{x^3\,\left(c\,x^2+b\,x+a\right)}} \,d x","Not used",1,"int(x^(1/2)/(x^3*(a + b*x + c*x^2))^(1/2), x)","F"
133,1,44,44,2.225665,"\text{Not used}","int(1/(x*(a + b*x^2 + c*x^4)^(1/2)),x)","-\frac{\ln\left(\frac{1}{x^2}\right)}{2\,\sqrt{a}}-\frac{\ln\left(2\,a+2\,\sqrt{a}\,\sqrt{c\,x^4+b\,x^2+a}+b\,x^2\right)}{2\,\sqrt{a}}","Not used",1,"- log(1/x^2)/(2*a^(1/2)) - log(2*a + 2*a^(1/2)*(a + b*x^2 + c*x^4)^(1/2) + b*x^2)/(2*a^(1/2))","B"
134,0,-1,49,0.000000,"\text{Not used}","int(1/(x^2*(a + b*x^2 + c*x^4))^(1/2),x)","\int \frac{1}{\sqrt{x^2\,\left(c\,x^4+b\,x^2+a\right)}} \,d x","Not used",1,"int(1/(x^2*(a + b*x^2 + c*x^4))^(1/2), x)","F"
135,0,-1,51,0.000000,"\text{Not used}","int(1/(x^(1/2)*(x*(a + b*x^2 + c*x^4))^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{x\,\left(c\,x^4+b\,x^2+a\right)}} \,d x","Not used",1,"int(1/(x^(1/2)*(x*(a + b*x^2 + c*x^4))^(1/2)), x)","F"
136,0,-1,53,0.000000,"\text{Not used}","int(x^(1/2)/(x^3*(a + b*x^2 + c*x^4))^(1/2),x)","\int \frac{\sqrt{x}}{\sqrt{x^3\,\left(c\,x^4+b\,x^2+a\right)}} \,d x","Not used",1,"int(x^(1/2)/(x^3*(a + b*x^2 + c*x^4))^(1/2), x)","F"
137,1,33,40,0.426514,"\text{Not used}","int(1/(x*(x^4 - 3*x^2 + 3)^(1/2)),x)","-\frac{\sqrt{3}\,\left(\ln\left(x^2-\frac{2\,\sqrt{3}\,\sqrt{x^4-3\,x^2+3}}{3}-2\right)+\ln\left(\frac{1}{x^2}\right)\right)}{6}","Not used",1,"-(3^(1/2)*(log(x^2 - (2*3^(1/2)*(x^4 - 3*x^2 + 3)^(1/2))/3 - 2) + log(1/x^2)))/6","B"
138,0,-1,45,0.000000,"\text{Not used}","int(1/(x^2*(x^4 - 3*x^2 + 3))^(1/2),x)","\int \frac{1}{\sqrt{x^2\,\left(x^4-3\,x^2+3\right)}} \,d x","Not used",1,"int(1/(x^2*(x^4 - 3*x^2 + 3))^(1/2), x)","F"
139,0,-1,43,0.000000,"\text{Not used}","int(1/(x^(1/2)*(x*(x^2 - 3*x + 3))^(1/2)),x)","\int \frac{1}{\sqrt{x}\,\sqrt{x\,\left(x^2-3\,x+3\right)}} \,d x","Not used",1,"int(1/(x^(1/2)*(x*(x^2 - 3*x + 3))^(1/2)), x)","F"
140,0,-1,70,0.000000,"\text{Not used}","int(x^(q/2 - 1)/(b*x^n + a*x^q + c*x^(2*n - q))^(1/2),x)","\int \frac{x^{\frac{q}{2}-1}}{\sqrt{b\,x^n+a\,x^q+c\,x^{2\,n-q}}} \,d x","Not used",1,"int(x^(q/2 - 1)/(b*x^n + a*x^q + c*x^(2*n - q))^(1/2), x)","F"