1,1,41,40,0.000000," ","int((e*x+d)*(c*x^4+b*x^2+a),x)","\frac{1}{6} c e \,x^{6}+\frac{1}{5} c d \,x^{5}+\frac{1}{4} b e \,x^{4}+\frac{1}{3} b d \,x^{3}+\frac{1}{2} a e \,x^{2}+a d x"," ",0,"a*d*x+1/2*a*e*x^2+1/3*b*d*x^3+1/4*b*e*x^4+1/5*c*d*x^5+1/6*c*e*x^6","A"
2,1,58,57,0.002000," ","int((f*x^2+e*x+d)*(c*x^4+b*x^2+a),x)","\frac{c f \,x^{7}}{7}+\frac{c e \,x^{6}}{6}+\frac{b e \,x^{4}}{4}+\frac{\left(b f +c d \right) x^{5}}{5}+\frac{a e \,x^{2}}{2}+a d x +\frac{\left(a f +b d \right) x^{3}}{3}"," ",0,"a*d*x+1/2*a*e*x^2+1/3*(a*f+b*d)*x^3+1/4*b*e*x^4+1/5*(b*f+c*d)*x^5+1/6*c*e*x^6+1/7*c*f*x^7","A"
3,1,75,74,0.002000," ","int((g*x^3+f*x^2+e*x+d)*(c*x^4+b*x^2+a),x)","\frac{c g \,x^{8}}{8}+\frac{c f \,x^{7}}{7}+\frac{\left(b g +c e \right) x^{6}}{6}+\frac{\left(b f +c d \right) x^{5}}{5}+\frac{a e \,x^{2}}{2}+\frac{\left(a g +b e \right) x^{4}}{4}+a d x +\frac{\left(a f +b d \right) x^{3}}{3}"," ",0,"a*d*x+1/2*a*e*x^2+1/3*(a*f+b*d)*x^3+1/4*(a*g+b*e)*x^4+1/5*(b*f+c*d)*x^5+1/6*(b*g+c*e)*x^6+1/7*c*f*x^7+1/8*c*g*x^8","A"
4,1,90,89,0.002000," ","int((c*x^4+b*x^2+a)*(h*x^4+g*x^3+f*x^2+e*x+d),x)","\frac{c h \,x^{9}}{9}+\frac{c g \,x^{8}}{8}+\frac{\left(b h +c f \right) x^{7}}{7}+\frac{\left(b g +c e \right) x^{6}}{6}+\frac{\left(a h +b f +c d \right) x^{5}}{5}+\frac{a e \,x^{2}}{2}+\frac{\left(a g +b e \right) x^{4}}{4}+a d x +\frac{\left(a f +b d \right) x^{3}}{3}"," ",0,"a*d*x+1/2*a*e*x^2+1/3*(a*f+b*d)*x^3+1/4*(a*g+b*e)*x^4+1/5*(a*h+b*f+c*d)*x^5+1/6*(b*g+c*e)*x^6+1/7*(b*h+c*f)*x^7+1/8*c*g*x^8+1/9*c*h*x^9","A"
5,1,105,104,0.001000," ","int((c*x^4+b*x^2+a)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d),x)","\frac{c i \,x^{10}}{10}+\frac{c h \,x^{9}}{9}+\frac{\left(b i +c g \right) x^{8}}{8}+\frac{\left(b h +c f \right) x^{7}}{7}+\frac{\left(a i +b g +c e \right) x^{6}}{6}+\frac{\left(a h +b f +c d \right) x^{5}}{5}+\frac{a e \,x^{2}}{2}+\frac{\left(a g +b e \right) x^{4}}{4}+a d x +\frac{\left(a f +b d \right) x^{3}}{3}"," ",0,"a*d*x+1/2*a*e*x^2+1/3*(a*f+b*d)*x^3+1/4*(a*g+b*e)*x^4+1/5*(a*h+b*f+c*d)*x^5+1/6*(a*i+b*g+c*e)*x^6+1/7*(b*h+c*f)*x^7+1/8*(b*i+c*g)*x^8+1/9*c*h*x^9+1/10*c*i*x^10","A"
6,1,95,94,0.001000," ","int((e*x+d)*(c*x^4+b*x^2+a)^2,x)","\frac{c^{2} e \,x^{10}}{10}+\frac{c^{2} d \,x^{9}}{9}+\frac{b c e \,x^{8}}{4}+\frac{2 b c d \,x^{7}}{7}+\frac{a b e \,x^{4}}{2}+\frac{\left(2 a c +b^{2}\right) e \,x^{6}}{6}+\frac{2 a b d \,x^{3}}{3}+\frac{\left(2 a c +b^{2}\right) d \,x^{5}}{5}+\frac{a^{2} e \,x^{2}}{2}+a^{2} d x"," ",0,"a^2*d*x+1/2*a^2*e*x^2+2/3*a*b*d*x^3+1/2*a*b*e*x^4+1/5*(2*a*c+b^2)*d*x^5+1/6*(2*a*c+b^2)*e*x^6+2/7*b*c*d*x^7+1/4*b*c*e*x^8+1/9*c^2*d*x^9+1/10*c^2*e*x^10","A"
7,1,139,134,0.000000," ","int((f*x^2+e*x+d)*(c*x^4+b*x^2+a)^2,x)","\frac{c^{2} f \,x^{11}}{11}+\frac{c^{2} e \,x^{10}}{10}+\frac{b c e \,x^{8}}{4}+\frac{\left(2 f b c +c^{2} d \right) x^{9}}{9}+\frac{a b e \,x^{4}}{2}+\frac{\left(2 a c +b^{2}\right) e \,x^{6}}{6}+\frac{\left(2 b c d +\left(2 a c +b^{2}\right) f \right) x^{7}}{7}+\frac{a^{2} e \,x^{2}}{2}+\frac{\left(2 a b f +\left(2 a c +b^{2}\right) d \right) x^{5}}{5}+a^{2} d x +\frac{\left(f \,a^{2}+2 a b d \right) x^{3}}{3}"," ",0,"1/11*c^2*f*x^11+1/10*c^2*e*x^10+1/9*(2*b*c*f+c^2*d)*x^9+1/4*b*c*e*x^8+1/7*(2*b*c*d+f*(2*a*c+b^2))*x^7+1/6*(2*a*c+b^2)*e*x^6+1/5*(d*(2*a*c+b^2)+2*a*b*f)*x^5+1/2*a*b*e*x^4+1/3*(a^2*f+2*a*b*d)*x^3+1/2*a^2*e*x^2+a^2*d*x","A"
8,1,183,174,0.000000," ","int((g*x^3+f*x^2+e*x+d)*(c*x^4+b*x^2+a)^2,x)","\frac{c^{2} g \,x^{12}}{12}+\frac{c^{2} f \,x^{11}}{11}+\frac{\left(2 g b c +e \,c^{2}\right) x^{10}}{10}+\frac{\left(2 f b c +c^{2} d \right) x^{9}}{9}+\frac{\left(2 b c e +\left(2 a c +b^{2}\right) g \right) x^{8}}{8}+\frac{\left(2 b c d +\left(2 a c +b^{2}\right) f \right) x^{7}}{7}+\frac{\left(2 a b g +\left(2 a c +b^{2}\right) e \right) x^{6}}{6}+\frac{a^{2} e \,x^{2}}{2}+\frac{\left(2 a b f +\left(2 a c +b^{2}\right) d \right) x^{5}}{5}+a^{2} d x +\frac{\left(g \,a^{2}+2 a b e \right) x^{4}}{4}+\frac{\left(f \,a^{2}+2 a b d \right) x^{3}}{3}"," ",0,"1/12*c^2*g*x^12+1/11*c^2*f*x^11+1/10*(2*b*c*g+c^2*e)*x^10+1/9*(2*b*c*f+c^2*d)*x^9+1/8*(2*b*c*e+g*(2*a*c+b^2))*x^8+1/7*(2*b*c*d+(2*a*c+b^2)*f)*x^7+1/6*(e*(2*a*c+b^2)+2*a*b*g)*x^6+1/5*(2*a*b*f+(2*a*c+b^2)*d)*x^5+1/4*(a^2*g+2*a*b*e)*x^4+1/3*(a^2*f+2*a*b*d)*x^3+1/2*a^2*e*x^2+a^2*d*x","A"
9,1,219,210,0.000000," ","int((c*x^4+b*x^2+a)^2*(h*x^4+g*x^3+f*x^2+e*x+d),x)","\frac{c^{2} h \,x^{13}}{13}+\frac{c^{2} g \,x^{12}}{12}+\frac{\left(2 b c h +c^{2} f \right) x^{11}}{11}+\frac{\left(2 g b c +e \,c^{2}\right) x^{10}}{10}+\frac{\left(2 b c f +c^{2} d +\left(2 a c +b^{2}\right) h \right) x^{9}}{9}+\frac{\left(2 b c e +\left(2 a c +b^{2}\right) g \right) x^{8}}{8}+\frac{\left(2 a b h +2 b c d +\left(2 a c +b^{2}\right) f \right) x^{7}}{7}+\frac{\left(2 a b g +\left(2 a c +b^{2}\right) e \right) x^{6}}{6}+\frac{a^{2} e \,x^{2}}{2}+\frac{\left(a^{2} h +2 a b f +\left(2 a c +b^{2}\right) d \right) x^{5}}{5}+a^{2} d x +\frac{\left(g \,a^{2}+2 a b e \right) x^{4}}{4}+\frac{\left(f \,a^{2}+2 a b d \right) x^{3}}{3}"," ",0,"1/13*c^2*h*x^13+1/12*c^2*g*x^12+1/11*(2*b*c*h+c^2*f)*x^11+1/10*(2*b*c*g+c^2*e)*x^10+1/9*((2*a*c+b^2)*h+2*f*b*c+c^2*d)*x^9+1/8*(2*b*c*e+(2*a*c+b^2)*g)*x^8+1/7*(2*a*b*h+(2*a*c+b^2)*f+2*b*c*d)*x^7+1/6*(2*a*b*g+(2*a*c+b^2)*e)*x^6+1/5*(a^2*h+2*a*b*f+(2*a*c+b^2)*d)*x^5+1/4*(a^2*g+2*a*b*e)*x^4+1/3*(a^2*f+2*a*b*d)*x^3+1/2*a^2*e*x^2+a^2*d*x","A"
10,1,58,35,0.012000," ","int((e*x+d)/(x^4-5*x^2+4),x)","-\frac{d \ln \left(x +2\right)}{12}+\frac{d \ln \left(x -2\right)}{12}-\frac{d \ln \left(x -1\right)}{6}+\frac{d \ln \left(x +1\right)}{6}+\frac{e \ln \left(x +2\right)}{6}+\frac{e \ln \left(x -2\right)}{6}-\frac{e \ln \left(x -1\right)}{6}-\frac{e \ln \left(x +1\right)}{6}"," ",0,"1/12*ln(x-2)*d+1/6*ln(x-2)*e+1/6*ln(x+1)*d-1/6*ln(x+1)*e-1/6*ln(x-1)*d-1/6*ln(x-1)*e-1/12*ln(2+x)*d+1/6*ln(2+x)*e","A"
11,1,86,41,0.009000," ","int((f*x^2+e*x+d)/(x^4-5*x^2+4),x)","-\frac{d \ln \left(x +2\right)}{12}+\frac{d \ln \left(x -2\right)}{12}-\frac{d \ln \left(x -1\right)}{6}+\frac{d \ln \left(x +1\right)}{6}+\frac{e \ln \left(x +2\right)}{6}+\frac{e \ln \left(x -2\right)}{6}-\frac{e \ln \left(x -1\right)}{6}-\frac{e \ln \left(x +1\right)}{6}-\frac{f \ln \left(x +2\right)}{3}+\frac{f \ln \left(x -2\right)}{3}-\frac{f \ln \left(x -1\right)}{6}+\frac{f \ln \left(x +1\right)}{6}"," ",0,"1/12*d*ln(x-2)+1/6*e*ln(x-2)+1/3*ln(x-2)*f+1/6*d*ln(x+1)-1/6*e*ln(x+1)+1/6*ln(x+1)*f-1/6*d*ln(x-1)-1/6*e*ln(x-1)-1/6*ln(x-1)*f-1/12*d*ln(x+2)+1/6*e*ln(x+2)-1/3*ln(x+2)*f","B"
12,1,114,47,0.008000," ","int((g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x)","-\frac{d \ln \left(x +2\right)}{12}+\frac{d \ln \left(x -2\right)}{12}-\frac{d \ln \left(x -1\right)}{6}+\frac{d \ln \left(x +1\right)}{6}+\frac{e \ln \left(x +2\right)}{6}+\frac{e \ln \left(x -2\right)}{6}-\frac{e \ln \left(x -1\right)}{6}-\frac{e \ln \left(x +1\right)}{6}-\frac{f \ln \left(x +2\right)}{3}+\frac{f \ln \left(x -2\right)}{3}-\frac{f \ln \left(x -1\right)}{6}+\frac{f \ln \left(x +1\right)}{6}+\frac{2 g \ln \left(x +2\right)}{3}+\frac{2 g \ln \left(x -2\right)}{3}-\frac{g \ln \left(x -1\right)}{6}-\frac{g \ln \left(x +1\right)}{6}"," ",0,"1/12*d*ln(x-2)+1/6*e*ln(x-2)+1/3*f*ln(x-2)+2/3*ln(x-2)*g+1/6*d*ln(x+1)-1/6*e*ln(x+1)+1/6*f*ln(x+1)-1/6*ln(x+1)*g-1/6*d*ln(x-1)-1/6*e*ln(x-1)-1/6*f*ln(x-1)-1/6*ln(x-1)*g-1/12*d*ln(x+2)+1/6*e*ln(x+2)-1/3*f*ln(x+2)+2/3*ln(x+2)*g","B"
13,1,145,54,0.010000," ","int((h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x)","-\frac{d \ln \left(x +2\right)}{12}+\frac{d \ln \left(x -2\right)}{12}-\frac{d \ln \left(x -1\right)}{6}+\frac{d \ln \left(x +1\right)}{6}+\frac{e \ln \left(x +2\right)}{6}+\frac{e \ln \left(x -2\right)}{6}-\frac{e \ln \left(x -1\right)}{6}-\frac{e \ln \left(x +1\right)}{6}-\frac{f \ln \left(x +2\right)}{3}+\frac{f \ln \left(x -2\right)}{3}-\frac{f \ln \left(x -1\right)}{6}+\frac{f \ln \left(x +1\right)}{6}+\frac{2 g \ln \left(x +2\right)}{3}+\frac{2 g \ln \left(x -2\right)}{3}-\frac{g \ln \left(x -1\right)}{6}-\frac{g \ln \left(x +1\right)}{6}+h x -\frac{4 h \ln \left(x +2\right)}{3}+\frac{4 h \ln \left(x -2\right)}{3}-\frac{h \ln \left(x -1\right)}{6}+\frac{h \ln \left(x +1\right)}{6}"," ",0,"h*x+1/12*d*ln(x-2)+1/6*e*ln(x-2)+1/3*f*ln(x-2)+2/3*g*ln(x-2)+4/3*ln(x-2)*h+1/6*d*ln(x+1)-1/6*e*ln(x+1)+1/6*f*ln(x+1)-1/6*g*ln(x+1)+1/6*ln(x+1)*h-1/6*d*ln(x-1)-1/6*e*ln(x-1)-1/6*f*ln(x-1)-1/6*g*ln(x-1)-1/6*ln(x-1)*h-1/12*d*ln(x+2)+1/6*e*ln(x+2)-1/3*f*ln(x+2)+2/3*g*ln(x+2)-4/3*ln(x+2)*h","B"
14,1,179,64,0.009000," ","int((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x)","\frac{i \,x^{2}}{2}-\frac{d \ln \left(x +2\right)}{12}+\frac{d \ln \left(x -2\right)}{12}-\frac{d \ln \left(x -1\right)}{6}+\frac{d \ln \left(x +1\right)}{6}+\frac{e \ln \left(x +2\right)}{6}+\frac{e \ln \left(x -2\right)}{6}-\frac{e \ln \left(x -1\right)}{6}-\frac{e \ln \left(x +1\right)}{6}-\frac{f \ln \left(x +2\right)}{3}+\frac{f \ln \left(x -2\right)}{3}-\frac{f \ln \left(x -1\right)}{6}+\frac{f \ln \left(x +1\right)}{6}+\frac{2 g \ln \left(x +2\right)}{3}+\frac{2 g \ln \left(x -2\right)}{3}-\frac{g \ln \left(x -1\right)}{6}-\frac{g \ln \left(x +1\right)}{6}+h x -\frac{4 h \ln \left(x +2\right)}{3}+\frac{4 h \ln \left(x -2\right)}{3}-\frac{h \ln \left(x -1\right)}{6}+\frac{h \ln \left(x +1\right)}{6}+\frac{8 i \ln \left(x +2\right)}{3}+\frac{8 i \ln \left(x -2\right)}{3}-\frac{i \ln \left(x -1\right)}{6}-\frac{i \ln \left(x +1\right)}{6}"," ",0,"8/3*ln(x+2)*i-1/6*ln(x-1)*i-1/6*ln(x+1)*i+8/3*ln(x-2)*i-4/3*h*ln(x+2)-1/6*h*ln(x-1)+1/6*h*ln(x+1)+4/3*h*ln(x-2)-1/6*g*ln(x-1)+2/3*g*ln(x+2)+2/3*g*ln(x-2)-1/6*g*ln(x+1)-1/12*d*ln(x+2)+1/6*e*ln(x+2)-1/6*e*ln(x-1)-1/6*d*ln(x-1)-1/6*e*ln(x+1)+1/6*d*ln(x+1)+1/12*d*ln(x-2)+1/6*e*ln(x-2)+1/3*f*ln(x-2)+1/6*f*ln(x+1)-1/6*f*ln(x-1)-1/3*f*ln(x+2)+1/2*i*x^2+h*x","B"
15,1,92,76,0.007000," ","int((e*x+d)/(x^4+x^2+1),x)","\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}-\frac{d \ln \left(x^{2}-x +1\right)}{4}+\frac{d \ln \left(x^{2}+x +1\right)}{4}-\frac{\sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\frac{\sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}"," ",0,"1/4*d*ln(x^2+x+1)+1/6*d*arctan(1/3*(1+2*x)*3^(1/2))*3^(1/2)-1/3*3^(1/2)*arctan(1/3*(1+2*x)*3^(1/2))*e-1/4*d*ln(x^2-x+1)+1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))*d+1/3*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))*e","A"
16,1,148,88,0.003000," ","int((f*x^2+e*x+d)/(x^4+x^2+1),x)","\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}-\frac{d \ln \left(x^{2}-x +1\right)}{4}+\frac{d \ln \left(x^{2}+x +1\right)}{4}-\frac{\sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\frac{\sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{f \ln \left(x^{2}-x +1\right)}{4}-\frac{f \ln \left(x^{2}+x +1\right)}{4}"," ",0,"1/4*d*ln(x^2+x+1)-1/4*ln(x^2+x+1)*f+1/6*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-1/3*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))+1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))*f+1/4*ln(x^2-x+1)*f-1/4*d*ln(x^2-x+1)+1/6*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+1/3*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))+1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))*f","A"
17,1,204,106,0.003000," ","int((g*x^3+f*x^2+e*x+d)/(x^4+x^2+1),x)","\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}-\frac{d \ln \left(x^{2}-x +1\right)}{4}+\frac{d \ln \left(x^{2}+x +1\right)}{4}-\frac{\sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\frac{\sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{f \ln \left(x^{2}-x +1\right)}{4}-\frac{f \ln \left(x^{2}+x +1\right)}{4}+\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{g \ln \left(x^{2}-x +1\right)}{4}+\frac{g \ln \left(x^{2}+x +1\right)}{4}"," ",0,"1/4*d*ln(x^2+x+1)-1/4*f*ln(x^2+x+1)+1/4*ln(x^2+x+1)*g+1/6*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-1/3*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))+1/6*3^(1/2)*f*arctan(1/3*(2*x+1)*3^(1/2))+1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))*g+1/4*f*ln(x^2-x+1)-1/4*d*ln(x^2-x+1)+1/4*ln(x^2-x+1)*g+1/6*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+1/3*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))+1/6*3^(1/2)*f*arctan(1/3*(2*x-1)*3^(1/2))-1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))*g","A"
18,1,241,115,0.006000," ","int((h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1),x)","\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}-\frac{d \ln \left(x^{2}-x +1\right)}{4}+\frac{d \ln \left(x^{2}+x +1\right)}{4}-\frac{\sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\frac{\sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{f \ln \left(x^{2}-x +1\right)}{4}-\frac{f \ln \left(x^{2}+x +1\right)}{4}+\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{g \ln \left(x^{2}-x +1\right)}{4}+\frac{g \ln \left(x^{2}+x +1\right)}{4}+h x -\frac{\sqrt{3}\, h \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}-\frac{\sqrt{3}\, h \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}"," ",0,"h*x+1/4*d*ln(x^2+x+1)-1/4*f*ln(x^2+x+1)+1/4*g*ln(x^2+x+1)+1/6*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-1/3*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))+1/6*3^(1/2)*f*arctan(1/3*(2*x+1)*3^(1/2))+1/6*3^(1/2)*g*arctan(1/3*(2*x+1)*3^(1/2))-1/3*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))*h+1/4*f*ln(x^2-x+1)-1/4*d*ln(x^2-x+1)+1/4*g*ln(x^2-x+1)+1/6*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+1/3*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))+1/6*3^(1/2)*f*arctan(1/3*(2*x-1)*3^(1/2))-1/6*3^(1/2)*g*arctan(1/3*(2*x-1)*3^(1/2))-1/3*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))*h","B"
19,1,303,128,0.006000," ","int((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1),x)","\frac{i \,x^{2}}{2}+\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}-\frac{d \ln \left(x^{2}-x +1\right)}{4}+\frac{d \ln \left(x^{2}+x +1\right)}{4}-\frac{\sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\frac{\sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{f \ln \left(x^{2}-x +1\right)}{4}-\frac{f \ln \left(x^{2}+x +1\right)}{4}+\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}+\frac{g \ln \left(x^{2}-x +1\right)}{4}+\frac{g \ln \left(x^{2}+x +1\right)}{4}+h x -\frac{\sqrt{3}\, h \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}-\frac{\sqrt{3}\, h \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}+\frac{\sqrt{3}\, i \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{6}-\frac{\sqrt{3}\, i \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{6}-\frac{i \ln \left(x^{2}-x +1\right)}{4}-\frac{i \ln \left(x^{2}+x +1\right)}{4}"," ",0,"1/2*i*x^2+h*x+1/4*d*ln(x^2+x+1)-1/4*f*ln(x^2+x+1)+1/4*g*ln(x^2+x+1)-1/4*ln(x^2+x+1)*i+1/6*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-1/3*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))+1/6*3^(1/2)*f*arctan(1/3*(2*x+1)*3^(1/2))+1/6*3^(1/2)*g*arctan(1/3*(2*x+1)*3^(1/2))-1/3*3^(1/2)*h*arctan(1/3*(2*x+1)*3^(1/2))+1/6*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))*i+1/4*g*ln(x^2-x+1)-1/4*ln(x^2-x+1)*i+1/4*f*ln(x^2-x+1)-1/4*d*ln(x^2-x+1)+1/6*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+1/3*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))+1/6*3^(1/2)*f*arctan(1/3*(2*x-1)*3^(1/2))-1/6*3^(1/2)*g*arctan(1/3*(2*x-1)*3^(1/2))-1/3*3^(1/2)*h*arctan(1/3*(2*x-1)*3^(1/2))-1/6*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))*i","B"
20,1,231,149,0.034000," ","int((e*x+d)/(c*x^4+b*x^2+a),x)","\frac{2 \sqrt{-4 a c +b^{2}}\, \sqrt{2}\, c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(8 a c -2 b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{-4 a c +b^{2}}\, \sqrt{2}\, c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(8 a c -2 b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{-4 a c +b^{2}}\, e \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{8 a c -2 b^{2}}+\frac{\sqrt{-4 a c +b^{2}}\, e \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{8 a c -2 b^{2}}"," ",0,"-(-4*a*c+b^2)^(1/2)/(8*a*c-2*b^2)*e*ln(-2*c*x^2+(-4*a*c+b^2)^(1/2)-b)+2*c*(-4*a*c+b^2)^(1/2)/(8*a*c-2*b^2)*d*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+(-4*a*c+b^2)^(1/2)/(8*a*c-2*b^2)*e*ln(2*c*x^2+(-4*a*c+b^2)^(1/2)+b)+2*c*(-4*a*c+b^2)^(1/2)/(8*a*c-2*b^2)*d*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)","A"
21,1,616,171,0.031000," ","int((f*x^2+e*x+d)/(c*x^4+b*x^2+a),x)","-\frac{2 \sqrt{2}\, a c f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{2}\, a c f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b^{2} f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{2} f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{-4 a c +b^{2}}\, e \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{2 \left(4 a c -b^{2}\right)}+\frac{\sqrt{-4 a c +b^{2}}\, e \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{8 a c -2 b^{2}}"," ",0,"-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))-2*c/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f*a+1/2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f*b^2-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*f+c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*d+1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+2*c/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f*a-1/2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f*b^2-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*f+c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*d","B"
22,1,866,201,0.033000," ","int((g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a),x)","-\frac{2 \sqrt{2}\, a c f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{2}\, a c f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b^{2} f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{2} f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{a g \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{4 a c -b^{2}}+\frac{a g \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{4 a c -b^{2}}-\frac{b^{2} g \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c}-\frac{b^{2} g \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c}-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, b g \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c}-\frac{\sqrt{-4 a c +b^{2}}\, b g \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c}-\frac{\sqrt{-4 a c +b^{2}}\, e \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{2 \left(4 a c -b^{2}\right)}+\frac{\sqrt{-4 a c +b^{2}}\, e \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{8 a c -2 b^{2}}"," ",0,"1/(4*a*c-b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*g*a-1/4/(4*a*c-b^2)/c*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*g*b^2+1/4*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)/c*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*b*g-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))-2*c/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f*a+1/2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f*b^2-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*f+c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*d+1/(4*a*c-b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*g*a-1/4/(4*a*c-b^2)/c*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*g*b^2-1/4*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)/c*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*b*g+1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^2*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)","B"
23,1,1132,247,0.042000," ","int((h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a),x)","-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, a h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, a h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b^{2} h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b^{2} h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, b g \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c}-\frac{\sqrt{-4 a c +b^{2}}\, b g \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c}-\frac{\left(-4 a c +b^{2}\right) \sqrt{2}\, b h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\left(-4 a c +b^{2}\right) \sqrt{2}\, b h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{-4 a c +b^{2}}\, e \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{2 \left(4 a c -b^{2}\right)}+\frac{\sqrt{-4 a c +b^{2}}\, e \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{8 a c -2 b^{2}}+\frac{\left(-4 a c +b^{2}\right) \sqrt{2}\, f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\left(-4 a c +b^{2}\right) \sqrt{2}\, f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\left(-4 a c +b^{2}\right) g \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c}-\frac{\left(-4 a c +b^{2}\right) g \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c}+\frac{h x}{c}"," ",0,"h*x/c-1/4*(-4*a*c+b^2)/(4*a*c-b^2)/c*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*g+1/4*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*b/c*g*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))-1/2*(-4*a*c+b^2)/(4*a*c-b^2)/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h+1/2*(-4*a*c+b^2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f-(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a*h+1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*h-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*f+c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*d-1/4*(-4*a*c+b^2)/(4*a*c-b^2)/c*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*g-1/4*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*b/c*g*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+1/2*(-4*a*c+b^2)/(4*a*c-b^2)/c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h-1/2*(-4*a*c+b^2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f-(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a*h+1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)/c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*h-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)","B"
24,1,1435,276,0.043000," ","int((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a),x)","\frac{\left(-4 a c +b^{2}\right) \sqrt{2}\, b h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b^{2} h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\left(-4 a c +b^{2}\right) \sqrt{2}\, b h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b^{2} h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, c}-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\left(-4 a c +b^{2}\right) \sqrt{2}\, f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\left(-4 a c +b^{2}\right) \sqrt{2}\, f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, b g \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c}-\frac{\sqrt{-4 a c +b^{2}}\, b g \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c}+\frac{h x}{c}-\frac{\sqrt{-4 a c +b^{2}}\, e \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{2 \left(4 a c -b^{2}\right)}+\frac{\sqrt{-4 a c +b^{2}}\, e \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{8 a c -2 b^{2}}-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, a h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, a h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\left(-4 a c +b^{2}\right) g \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c}-\frac{\left(-4 a c +b^{2}\right) g \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c}+\frac{i \,x^{2}}{2 c}+\frac{\left(-4 a c +b^{2}\right) b i \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c^{2}}+\frac{\sqrt{-4 a c +b^{2}}\, a i \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{2 \left(4 a c -b^{2}\right) c}-\frac{\sqrt{-4 a c +b^{2}}\, b^{2} i \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c^{2}}+\frac{\left(-4 a c +b^{2}\right) b i \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c^{2}}-\frac{\sqrt{-4 a c +b^{2}}\, a i \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{2 \left(4 a c -b^{2}\right) c}+\frac{\sqrt{-4 a c +b^{2}}\, b^{2} i \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{4 \left(4 a c -b^{2}\right) c^{2}}"," ",0,"-1/2*(-4*a*c+b^2)/(4*a*c-b^2)/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h+1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*h+1/2*(-4*a*c+b^2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b/c*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^2/c*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*f+c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*d-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+1/2*(-4*a*c+b^2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f-1/2*(-4*a*c+b^2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+1/4*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*b/c*g*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))-1/4*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*b/c*g*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+1/c*h*x-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))-(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a*h-1/4*(-4*a*c+b^2)/(4*a*c-b^2)/c*g*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))-1/4*(-4*a*c+b^2)/(4*a*c-b^2)/c*g*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+1/2*i*x^2/c+1/4*(-4*a*c+b^2)/(4*a*c-b^2)/c^2*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*b*i+1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)/c*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*a*i-1/4*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)/c^2*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*b^2*i+1/4*(-4*a*c+b^2)/(4*a*c-b^2)/c^2*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*b*i-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)/c*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*a*i+1/4*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)/c^2*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*b^2*i","B"
25,1,3835,494,0.080000," ","int((m*x^8+l*x^7+k*x^6+j*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a),x)","\text{output too large to display}"," ",0,"1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*h+1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^2/c*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-2*c/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f*a-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*f+c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*d+2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4/(4*a*c-b^2)*b^2/c*g*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))-1/4/(4*a*c-b^2)*b^2/c*g*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+1/4*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*b/c*g*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))-1/4*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*b/c*g*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+1/2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f*b^2-1/2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^2*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/2/c/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*h+1/2/c/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*h+3/4/c^2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*a*b*l-3/4/c^2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*a*b*l-1/2/c^2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^4*k+1/2/c^2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^4*k+2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h*a-2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h*a+1/2/c^3/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^5*m-1/2/c^3/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^5*m-2/c^2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a*b^2*m+3/2/c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a*b*k+3/2/c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a*b*k-2/c^2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a*b^2*m-1/c^2*a*m*x+1/c^3*b^2*m*x-1/c^2*b*k*x-1/3/c^2*x^3*b*m-1/2/c^2*x^2*b*l+1/c*h*x+1/(4*a*c-b^2)*a*g*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+1/(4*a*c-b^2)*a*g*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))-(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a*h+5/2/c/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*k*a-5/2/c/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*k*a+4/c/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a^2*b*m+1/c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a^2*m-1/2/c^2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*k+1/4*l*x^4/c+1/5*m*x^5/c+1/3/c*x^3*k+1/2/c*x^2*j+1/4/c^2/(4*a*c-b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*b^3*j+1/4/c^2/(4*a*c-b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*b^3*j-1/c/(4*a*c-b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*a^2*l-1/c/(4*a*c-b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*a^2*l-1/4/c^3/(4*a*c-b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*b^4*l-1/4/c^3/(4*a*c-b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*b^4*l+1/2/c^3*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^4*m+1/c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a^2*m-1/2/c^2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*k+1/2/c^3*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^4*m-3/c^2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a*b^3*m+3/c^2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*m*a-4/c/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a^2*b*m+2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a^2*k-2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*a^2*k+5/4/c^2/(4*a*c-b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*a*l*b^2+5/4/c^2/(4*a*c-b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*a*l*b^2-1/c/(4*a*c-b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*b*j*a-1/c/(4*a*c-b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*b*j*a+1/2/c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*a*j+1/4/c^3*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*b^3*l-1/4/c^2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*b^2*j-1/2/c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*a*j-1/4/c^3*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*b^3*l+1/4/c^2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*b^2*j","B"
26,1,122,80,0.019000," ","int((e*x+d)/(x^4-5*x^2+4)^2,x)","\frac{19 d \ln \left(x +2\right)}{864}-\frac{19 d \ln \left(x -2\right)}{864}+\frac{d \ln \left(x -1\right)}{108}-\frac{d \ln \left(x +1\right)}{108}-\frac{e \ln \left(x +2\right)}{27}-\frac{e \ln \left(x -2\right)}{27}+\frac{e \ln \left(x -1\right)}{27}+\frac{e \ln \left(x +1\right)}{27}-\frac{d}{144 \left(x -2\right)}-\frac{d}{36 \left(x +1\right)}-\frac{d}{36 \left(x -1\right)}-\frac{d}{144 \left(x +2\right)}-\frac{e}{72 \left(x -2\right)}+\frac{e}{36 x +36}-\frac{e}{36 \left(x -1\right)}+\frac{e}{72 x +144}"," ",0,"-19/864*d*ln(x-2)-1/27*e*ln(x-2)-1/144/(x-2)*d-1/72/(x-2)*e-1/108*d*ln(x+1)+1/27*e*ln(x+1)-1/36/(x+1)*d+1/36/(x+1)*e-1/36/(x-1)*d-1/36/(x-1)*e+1/108*d*ln(x-1)+1/27*e*ln(x-1)-1/144/(x+2)*d+1/72/(x+2)*e+19/864*d*ln(x+2)-1/27*e*ln(x+2)","A"
27,1,182,101,0.018000," ","int((f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","\frac{19 d \ln \left(x +2\right)}{864}-\frac{19 d \ln \left(x -2\right)}{864}+\frac{d \ln \left(x -1\right)}{108}-\frac{d \ln \left(x +1\right)}{108}-\frac{e \ln \left(x +2\right)}{27}-\frac{e \ln \left(x -2\right)}{27}+\frac{e \ln \left(x -1\right)}{27}+\frac{e \ln \left(x +1\right)}{27}+\frac{13 f \ln \left(x +2\right)}{216}-\frac{13 f \ln \left(x -2\right)}{216}+\frac{7 f \ln \left(x -1\right)}{108}-\frac{7 f \ln \left(x +1\right)}{108}-\frac{d}{144 \left(x -2\right)}-\frac{d}{36 \left(x +1\right)}-\frac{d}{36 \left(x -1\right)}-\frac{d}{144 \left(x +2\right)}-\frac{e}{72 \left(x -2\right)}+\frac{e}{36 x +36}-\frac{e}{36 \left(x -1\right)}+\frac{e}{72 x +144}-\frac{f}{36 \left(x -2\right)}-\frac{f}{36 \left(x +1\right)}-\frac{f}{36 \left(x -1\right)}-\frac{f}{36 \left(x +2\right)}"," ",0,"-19/864*d*ln(x-2)-1/27*e*ln(x-2)-13/216*f*ln(x-2)-1/144/(x-2)*d-1/72/(x-2)*e-1/36/(x-2)*f-1/108*d*ln(x+1)+1/27*e*ln(x+1)-7/108*f*ln(x+1)-1/36/(x+1)*d+1/36/(x+1)*e-1/36/(x+1)*f-1/36/(x-1)*d-1/36/(x-1)*e-1/36/(x-1)*f+1/108*d*ln(x-1)+1/27*e*ln(x-1)+7/108*f*ln(x-1)-1/144/(x+2)*d+1/72/(x+2)*e-1/36/(x+2)*f+19/864*d*ln(x+2)-1/27*e*ln(x+2)+13/216*f*ln(x+2)","A"
28,1,242,124,0.023000," ","int((g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","\frac{5 g \ln \left(x -1\right)}{54}-\frac{5 g \ln \left(x +2\right)}{54}-\frac{5 g \ln \left(x -2\right)}{54}+\frac{5 g \ln \left(x +1\right)}{54}+\frac{19 d \ln \left(x +2\right)}{864}-\frac{e \ln \left(x +2\right)}{27}+\frac{e \ln \left(x -1\right)}{27}+\frac{d \ln \left(x -1\right)}{108}+\frac{e \ln \left(x +1\right)}{27}-\frac{d \ln \left(x +1\right)}{108}-\frac{19 d \ln \left(x -2\right)}{864}-\frac{e \ln \left(x -2\right)}{27}-\frac{13 f \ln \left(x -2\right)}{216}-\frac{7 f \ln \left(x +1\right)}{108}+\frac{7 f \ln \left(x -1\right)}{108}+\frac{13 f \ln \left(x +2\right)}{216}+\frac{g}{18 x +36}+\frac{g}{36 x +36}+\frac{e}{36 x +36}+\frac{e}{72 x +144}-\frac{g}{36 \left(x -1\right)}-\frac{g}{18 \left(x -2\right)}-\frac{d}{144 \left(x +2\right)}-\frac{d}{144 \left(x -2\right)}-\frac{e}{72 \left(x -2\right)}-\frac{d}{36 \left(x +1\right)}-\frac{d}{36 \left(x -1\right)}-\frac{e}{36 \left(x -1\right)}-\frac{f}{36 \left(x -1\right)}-\frac{f}{36 \left(x +2\right)}-\frac{f}{36 \left(x -2\right)}-\frac{f}{36 \left(x +1\right)}"," ",0,"5/54*g*ln(x-1)-5/54*g*ln(x+2)-5/54*g*ln(x-2)+5/54*g*ln(x+1)+19/864*d*ln(x+2)-1/27*e*ln(x+2)+1/27*e*ln(x-1)+1/108*d*ln(x-1)+1/27*e*ln(x+1)-1/108*d*ln(x+1)-19/864*d*ln(x-2)-1/27*e*ln(x-2)-13/216*f*ln(x-2)-7/108*f*ln(x+1)+7/108*f*ln(x-1)+13/216*f*ln(x+2)+1/18/(x+2)*g+1/36/(x+1)*g-1/36/(x-1)*g-1/18/(x-2)*g-1/144/(x+2)*d+1/72/(x+2)*e-1/144/(x-2)*d-1/72/(x-2)*e-1/36/(x+1)*d+1/36/(x+1)*e-1/36/(x-1)*d-1/36/(x-1)*e-1/36/(x-1)*f-1/36/(x+2)*f-1/36/(x-2)*f-1/36/(x+1)*f","A"
29,1,302,136,0.017000," ","int((h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","\frac{7 h \ln \left(x +2\right)}{54}+\frac{13 h \ln \left(x -1\right)}{108}-\frac{13 h \ln \left(x +1\right)}{108}-\frac{7 h \ln \left(x -2\right)}{54}+\frac{5 g \ln \left(x -1\right)}{54}-\frac{5 g \ln \left(x +2\right)}{54}-\frac{5 g \ln \left(x -2\right)}{54}+\frac{5 g \ln \left(x +1\right)}{54}+\frac{19 d \ln \left(x +2\right)}{864}-\frac{e \ln \left(x +2\right)}{27}+\frac{e \ln \left(x -1\right)}{27}+\frac{d \ln \left(x -1\right)}{108}+\frac{e \ln \left(x +1\right)}{27}-\frac{d \ln \left(x +1\right)}{108}-\frac{19 d \ln \left(x -2\right)}{864}-\frac{e \ln \left(x -2\right)}{27}-\frac{13 f \ln \left(x -2\right)}{216}-\frac{7 f \ln \left(x +1\right)}{108}+\frac{7 f \ln \left(x -1\right)}{108}+\frac{13 f \ln \left(x +2\right)}{216}+\frac{g}{18 x +36}+\frac{g}{36 x +36}+\frac{e}{36 x +36}+\frac{e}{72 x +144}-\frac{h}{9 \left(x +2\right)}-\frac{h}{36 \left(x +1\right)}-\frac{h}{36 \left(x -1\right)}-\frac{h}{9 \left(x -2\right)}-\frac{g}{36 \left(x -1\right)}-\frac{g}{18 \left(x -2\right)}-\frac{d}{144 \left(x +2\right)}-\frac{d}{144 \left(x -2\right)}-\frac{e}{72 \left(x -2\right)}-\frac{d}{36 \left(x +1\right)}-\frac{d}{36 \left(x -1\right)}-\frac{e}{36 \left(x -1\right)}-\frac{f}{36 \left(x -1\right)}-\frac{f}{36 \left(x +2\right)}-\frac{f}{36 \left(x -2\right)}-\frac{f}{36 \left(x +1\right)}"," ",0,"7/54*h*ln(x+2)+13/108*h*ln(x-1)-13/108*h*ln(x+1)-7/54*h*ln(x-2)+5/54*g*ln(x-1)-5/54*g*ln(x+2)-5/54*g*ln(x-2)+5/54*g*ln(x+1)+19/864*d*ln(x+2)-1/27*e*ln(x+2)+1/27*e*ln(x-1)+1/108*d*ln(x-1)+1/27*e*ln(x+1)-1/108*d*ln(x+1)-19/864*d*ln(x-2)-1/27*e*ln(x-2)-13/216*f*ln(x-2)-7/108*f*ln(x+1)+7/108*f*ln(x-1)+13/216*f*ln(x+2)-1/9/(x+2)*h-1/36/(x+1)*h-1/36/(x-1)*h-1/9/(x-2)*h+1/18/(x+2)*g+1/36/(x+1)*g-1/36/(x-1)*g-1/18/(x-2)*g-1/144/(x+2)*d+1/72/(x+2)*e-1/144/(x-2)*d-1/72/(x-2)*e-1/36/(x+1)*d+1/36/(x+1)*e-1/36/(x-1)*d-1/36/(x-1)*e-1/36/(x-1)*f-1/36/(x+2)*f-1/36/(x-2)*f-1/36/(x+1)*f","B"
30,1,362,148,0.020000," ","int((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","-\frac{4 i \ln \left(x +2\right)}{27}+\frac{4 i \ln \left(x -1\right)}{27}+\frac{4 i \ln \left(x +1\right)}{27}-\frac{4 i \ln \left(x -2\right)}{27}+\frac{7 h \ln \left(x +2\right)}{54}+\frac{13 h \ln \left(x -1\right)}{108}-\frac{13 h \ln \left(x +1\right)}{108}-\frac{7 h \ln \left(x -2\right)}{54}+\frac{5 g \ln \left(x -1\right)}{54}-\frac{5 g \ln \left(x +2\right)}{54}-\frac{5 g \ln \left(x -2\right)}{54}+\frac{5 g \ln \left(x +1\right)}{54}+\frac{19 d \ln \left(x +2\right)}{864}-\frac{e \ln \left(x +2\right)}{27}+\frac{e \ln \left(x -1\right)}{27}+\frac{d \ln \left(x -1\right)}{108}+\frac{e \ln \left(x +1\right)}{27}-\frac{d \ln \left(x +1\right)}{108}-\frac{19 d \ln \left(x -2\right)}{864}-\frac{e \ln \left(x -2\right)}{27}-\frac{13 f \ln \left(x -2\right)}{216}-\frac{7 f \ln \left(x +1\right)}{108}+\frac{7 f \ln \left(x -1\right)}{108}+\frac{13 f \ln \left(x +2\right)}{216}+\frac{i}{36 x +36}+\frac{g}{18 x +36}+\frac{g}{36 x +36}+\frac{e}{36 x +36}+\frac{e}{72 x +144}+\frac{2 i}{9 \left(x +2\right)}-\frac{i}{36 \left(x -1\right)}-\frac{2 i}{9 \left(x -2\right)}-\frac{h}{9 \left(x +2\right)}-\frac{h}{36 \left(x +1\right)}-\frac{h}{36 \left(x -1\right)}-\frac{h}{9 \left(x -2\right)}-\frac{g}{36 \left(x -1\right)}-\frac{g}{18 \left(x -2\right)}-\frac{d}{144 \left(x +2\right)}-\frac{d}{144 \left(x -2\right)}-\frac{e}{72 \left(x -2\right)}-\frac{d}{36 \left(x +1\right)}-\frac{d}{36 \left(x -1\right)}-\frac{e}{36 \left(x -1\right)}-\frac{f}{36 \left(x -1\right)}-\frac{f}{36 \left(x +2\right)}-\frac{f}{36 \left(x -2\right)}-\frac{f}{36 \left(x +1\right)}"," ",0,"-4/27*i*ln(x+2)+4/27*i*ln(x-1)+4/27*i*ln(x+1)-4/27*i*ln(x-2)+7/54*h*ln(x+2)+13/108*h*ln(x-1)-13/108*h*ln(x+1)-7/54*h*ln(x-2)+5/54*g*ln(x-1)-5/54*g*ln(x+2)-5/54*g*ln(x-2)+5/54*g*ln(x+1)+19/864*d*ln(x+2)-1/27*e*ln(x+2)+1/27*e*ln(x-1)+1/108*d*ln(x-1)+1/27*e*ln(x+1)-1/108*d*ln(x+1)-19/864*d*ln(x-2)-1/27*e*ln(x-2)-13/216*f*ln(x-2)-7/108*f*ln(x+1)+7/108*f*ln(x-1)+13/216*f*ln(x+2)+2/9/(x+2)*i+1/36/(x+1)*i-1/36/(x-1)*i-2/9/(x-2)*i-1/9/(x+2)*h-1/36/(x+1)*h-1/36/(x-1)*h-1/9/(x-2)*h+1/18/(x+2)*g+1/36/(x+1)*g-1/36/(x-1)*g-1/18/(x-2)*g-1/144/(x+2)*d+1/72/(x+2)*e-1/144/(x-2)*d-1/72/(x-2)*e-1/36/(x+1)*d+1/36/(x+1)*e-1/36/(x-1)*d-1/36/(x-1)*e-1/36/(x-1)*f-1/36/(x+2)*f-1/36/(x-2)*f-1/36/(x+1)*f","B"
31,1,146,117,0.014000," ","int((e*x+d)/(x^4+x^2+1)^2,x)","\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}-\frac{d \ln \left(x^{2}-x +1\right)}{4}+\frac{d \ln \left(x^{2}+x +1\right)}{4}-\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{-\frac{2 d}{3}+\frac{e}{3}+\left(-\frac{d}{3}-\frac{e}{3}\right) x}{4 x^{2}+4 x +4}-\frac{-\frac{2 d}{3}-\frac{e}{3}+\left(\frac{d}{3}-\frac{e}{3}\right) x}{4 \left(x^{2}-x +1\right)}"," ",0,"1/4*((-1/3*d-1/3*e)*x-2/3*d+1/3*e)/(x^2+x+1)+1/4*d*ln(x^2+x+1)+1/9*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-2/9*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))-1/4*((1/3*d-1/3*e)*x-2/3*d-1/3*e)/(x^2-x+1)-1/4*d*ln(x^2-x+1)+1/9*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+2/9*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))","A"
32,1,214,142,0.013000," ","int((f*x^2+e*x+d)/(x^4+x^2+1)^2,x)","\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}-\frac{d \ln \left(x^{2}-x +1\right)}{4}+\frac{d \ln \left(x^{2}+x +1\right)}{4}-\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{36}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{36}+\frac{f \ln \left(x^{2}-x +1\right)}{8}-\frac{f \ln \left(x^{2}+x +1\right)}{8}+\frac{-\frac{2 d}{3}+\frac{e}{3}+\frac{f}{3}+\left(-\frac{d}{3}-\frac{e}{3}+\frac{2 f}{3}\right) x}{4 x^{2}+4 x +4}-\frac{-\frac{2 d}{3}-\frac{e}{3}+\frac{f}{3}+\left(\frac{d}{3}-\frac{e}{3}-\frac{2 f}{3}\right) x}{4 \left(x^{2}-x +1\right)}"," ",0,"1/4*((-1/3*d-1/3*e+2/3*f)*x-2/3*d+1/3*e+1/3*f)/(x^2+x+1)+1/4*d*ln(x^2+x+1)-1/8*f*ln(x^2+x+1)+1/9*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-2/9*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))+1/36*3^(1/2)*f*arctan(1/3*(2*x+1)*3^(1/2))-1/4*((1/3*d-1/3*e-2/3*f)*x-2/3*d-1/3*e+1/3*f)/(x^2-x+1)-1/4*d*ln(x^2-x+1)+1/8*f*ln(x^2-x+1)+1/9*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+2/9*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))+1/36*3^(1/2)*f*arctan(1/3*(2*x-1)*3^(1/2))","A"
33,1,260,156,0.016000," ","int((g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^2,x)","\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}-\frac{d \ln \left(x^{2}-x +1\right)}{4}+\frac{d \ln \left(x^{2}+x +1\right)}{4}-\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{36}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{36}+\frac{f \ln \left(x^{2}-x +1\right)}{8}-\frac{f \ln \left(x^{2}+x +1\right)}{8}+\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}-\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{-\frac{2 d}{3}+\frac{e}{3}+\frac{f}{3}-\frac{2 g}{3}+\left(-\frac{d}{3}-\frac{e}{3}+\frac{2 f}{3}-\frac{g}{3}\right) x}{4 x^{2}+4 x +4}-\frac{-\frac{2 d}{3}-\frac{e}{3}+\frac{f}{3}+\frac{2 g}{3}+\left(\frac{d}{3}-\frac{e}{3}-\frac{2 f}{3}-\frac{g}{3}\right) x}{4 \left(x^{2}-x +1\right)}"," ",0,"1/4*((-1/3*d-1/3*e-1/3*g+2/3*f)*x-2/3*d+1/3*e-2/3*g+1/3*f)/(x^2+x+1)+1/4*d*ln(x^2+x+1)-1/8*f*ln(x^2+x+1)+1/9*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-2/9*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))+1/36*3^(1/2)*f*arctan(1/3*(2*x+1)*3^(1/2))+1/9*3^(1/2)*g*arctan(1/3*(2*x+1)*3^(1/2))-1/4*((1/3*d-1/3*e-1/3*g-2/3*f)*x-2/3*d-1/3*e+2/3*g+1/3*f)/(x^2-x+1)-1/4*d*ln(x^2-x+1)+1/8*f*ln(x^2-x+1)+1/9*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+2/9*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))+1/36*3^(1/2)*f*arctan(1/3*(2*x-1)*3^(1/2))-1/9*3^(1/2)*g*arctan(1/3*(2*x-1)*3^(1/2))","A"
34,1,328,164,0.015000," ","int((h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^2,x)","\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}-\frac{d \ln \left(x^{2}-x +1\right)}{4}+\frac{d \ln \left(x^{2}+x +1\right)}{4}-\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{36}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{36}+\frac{f \ln \left(x^{2}-x +1\right)}{8}-\frac{f \ln \left(x^{2}+x +1\right)}{8}+\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}-\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, h \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{36}+\frac{\sqrt{3}\, h \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{36}-\frac{h \ln \left(x^{2}-x +1\right)}{8}+\frac{h \ln \left(x^{2}+x +1\right)}{8}+\frac{-\frac{2 d}{3}+\frac{e}{3}+\frac{f}{3}-\frac{2 g}{3}+\frac{h}{3}+\left(-\frac{d}{3}-\frac{e}{3}+\frac{2 f}{3}-\frac{g}{3}-\frac{h}{3}\right) x}{4 x^{2}+4 x +4}-\frac{-\frac{2 d}{3}-\frac{e}{3}+\frac{f}{3}+\frac{2 g}{3}+\frac{h}{3}+\left(\frac{d}{3}-\frac{e}{3}-\frac{2 f}{3}-\frac{g}{3}+\frac{h}{3}\right) x}{4 \left(x^{2}-x +1\right)}"," ",0,"1/4*((-1/3*d+2/3*f-1/3*g-1/3*e-1/3*h)*x-2/3*d+1/3*f-2/3*g+1/3*e+1/3*h)/(x^2+x+1)+1/4*d*ln(x^2+x+1)-1/8*f*ln(x^2+x+1)+1/8*ln(x^2+x+1)*h+1/9*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-2/9*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))+1/36*3^(1/2)*f*arctan(1/3*(2*x+1)*3^(1/2))+1/9*3^(1/2)*g*arctan(1/3*(2*x+1)*3^(1/2))+1/36*3^(1/2)*h*arctan(1/3*(2*x+1)*3^(1/2))-1/4*((1/3*d-2/3*f-1/3*g-1/3*e+1/3*h)*x-2/3*d+1/3*f+2/3*g-1/3*e+1/3*h)/(x^2-x+1)-1/4*d*ln(x^2-x+1)+1/8*f*ln(x^2-x+1)-1/8*ln(x^2-x+1)*h+1/9*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+2/9*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))+1/36*3^(1/2)*f*arctan(1/3*(2*x-1)*3^(1/2))-1/9*3^(1/2)*g*arctan(1/3*(2*x-1)*3^(1/2))+1/36*3^(1/2)*h*arctan(1/3*(2*x-1)*3^(1/2))","A"
35,1,374,171,0.015000," ","int((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^2,x)","\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}-\frac{d \ln \left(x^{2}-x +1\right)}{4}+\frac{d \ln \left(x^{2}+x +1\right)}{4}-\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{36}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{36}+\frac{f \ln \left(x^{2}-x +1\right)}{8}-\frac{f \ln \left(x^{2}+x +1\right)}{8}+\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}-\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, h \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{36}+\frac{\sqrt{3}\, h \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{36}-\frac{h \ln \left(x^{2}-x +1\right)}{8}+\frac{h \ln \left(x^{2}+x +1\right)}{8}-\frac{2 \sqrt{3}\, i \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 \sqrt{3}\, i \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{-\frac{2 d}{3}+\frac{e}{3}+\frac{f}{3}-\frac{2 g}{3}+\frac{h}{3}+\frac{i}{3}+\left(-\frac{d}{3}-\frac{e}{3}+\frac{2 f}{3}-\frac{g}{3}-\frac{h}{3}+\frac{2 i}{3}\right) x}{4 x^{2}+4 x +4}-\frac{-\frac{2 d}{3}-\frac{e}{3}+\frac{f}{3}+\frac{2 g}{3}+\frac{h}{3}-\frac{i}{3}+\left(\frac{d}{3}-\frac{e}{3}-\frac{2 f}{3}-\frac{g}{3}+\frac{h}{3}+\frac{2 i}{3}\right) x}{4 \left(x^{2}-x +1\right)}"," ",0,"1/4*((-1/3*d-1/3*e-1/3*g-1/3*h+2/3*f+2/3*i)*x-2/3*d+1/3*e-2/3*g+1/3*h+1/3*f+1/3*i)/(x^2+x+1)+1/4*d*ln(x^2+x+1)-1/8*f*ln(x^2+x+1)+1/8*h*ln(x^2+x+1)+1/9*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-2/9*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))+1/36*3^(1/2)*f*arctan(1/3*(2*x+1)*3^(1/2))+1/9*3^(1/2)*g*arctan(1/3*(2*x+1)*3^(1/2))+1/36*3^(1/2)*h*arctan(1/3*(2*x+1)*3^(1/2))-2/9*3^(1/2)*i*arctan(1/3*(2*x+1)*3^(1/2))-1/4*((1/3*d-1/3*e-1/3*g+1/3*h-2/3*f+2/3*i)*x-2/3*d-1/3*e+2/3*g+1/3*h+1/3*f-1/3*i)/(x^2-x+1)-1/4*d*ln(x^2-x+1)+1/8*f*ln(x^2-x+1)-1/8*h*ln(x^2-x+1)+1/9*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+2/9*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))+1/36*3^(1/2)*f*arctan(1/3*(2*x-1)*3^(1/2))-1/9*3^(1/2)*g*arctan(1/3*(2*x-1)*3^(1/2))+1/36*3^(1/2)*h*arctan(1/3*(2*x-1)*3^(1/2))+2/9*3^(1/2)*i*arctan(1/3*(2*x-1)*3^(1/2))","B"
36,1,1237,278,0.145000," ","int((e*x+d)/(c*x^4+b*x^2+a)^2,x)","-\frac{\sqrt{2}\, b^{3} c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, b^{3} c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, b \,c^{2} d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b \,c^{2} d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{b^{3} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}+\frac{b^{3} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{b c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{b c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{3 \sqrt{2}\, \sqrt{-4 a c +b^{2}}\, c^{2} d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, \sqrt{-4 a c +b^{2}}\, c^{2} d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 a c e}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{2 a c e}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{-4 a c +b^{2}}\, b^{2} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}+\frac{\sqrt{-4 a c +b^{2}}\, b^{2} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}-\frac{b^{2} e}{2 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{b^{2} e}{2 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{\sqrt{-4 a c +b^{2}}\, c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{-4 a c +b^{2}}\, c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{-4 a c +b^{2}}\, c e \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}+\frac{\sqrt{-4 a c +b^{2}}\, c e \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}"," ",0,"c/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*d*x*(-4*a*c+b^2)^(1/2)-1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)/a*d*x*b^2*(-4*a*c+b^2)^(1/2)-c/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*d*x*b+1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)/a*d*x*b^3+2*c/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*e*a-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*e*b^2+c/(4*a*c-b^2)^2*e*(-4*a*c+b^2)^(1/2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+3*c^2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d-c^2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d-c/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*d*x*(-4*a*c+b^2)^(1/2)+1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)/a*d*x*b^2*(-4*a*c+b^2)^(1/2)-c/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*d*x*b+1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)/a*d*x*b^3+2*c/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*e*a-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*e*b^2-c/(4*a*c-b^2)^2*e*(-4*a*c+b^2)^(1/2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+3*c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d+c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d","B"
37,1,1813,320,0.179000," ","int((f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x)","-\frac{2 \sqrt{2}\, a \,c^{2} f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{2}\, a \,c^{2} f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{3} c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, b^{3} c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, b^{2} c f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{2} c f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b \,c^{2} d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b \,c^{2} d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 a c f x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{2 a c f x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{b^{3} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}+\frac{b^{3} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{b^{2} f x}{2 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{b^{2} f x}{2 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{b c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{b c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b c f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b c f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, \sqrt{-4 a c +b^{2}}\, c^{2} d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, \sqrt{-4 a c +b^{2}}\, c^{2} d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 a c e}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{2 a c e}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{-4 a c +b^{2}}\, b^{2} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}+\frac{\sqrt{-4 a c +b^{2}}\, b^{2} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}-\frac{b^{2} e}{2 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{b^{2} e}{2 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{\sqrt{-4 a c +b^{2}}\, c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{-4 a c +b^{2}}\, c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{-4 a c +b^{2}}\, c e \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}+\frac{\sqrt{-4 a c +b^{2}}\, c e \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}"," ",0,"-1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)/a*b^2*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*b^2*e-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*b^2*e-c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*f-c/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*f-2*c^2/(4*a*c-b^2)^2*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f+1/2*c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*f+2*c^2/(4*a*c-b^2)^2*a*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f-1/2*c/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*f+2*c/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*x*a*f+2*c/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*x*a*f-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*x*b^2*f+1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+2/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*a*c*e-1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))-1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)/a*b^2*d*x+3/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)/a*b^2*d*x+3*c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d+c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)/a*b^3*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+2/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*a*c*e-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*x*b^2*f+1/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)*c*d*x-1/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*b*c*d*x+1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)/a*b^3*d*x-1/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)*c*d*x-1/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*b*c*d*x+1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)/a*b^3*d*x","B"
38,1,2310,340,0.175000," ","int((g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x)","-\frac{2 \sqrt{2}\, a \,c^{2} f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{2}\, a \,c^{2} f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{3} c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, b^{3} c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, b^{2} c f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{2} c f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b \,c^{2} d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b \,c^{2} d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 a c f x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{2 a c f x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{b^{3} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 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-b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b c f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b c f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, \sqrt{-4 a c +b^{2}}\, c^{2} d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, \sqrt{-4 a c +b^{2}}\, c^{2} d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{a b g}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{a b g}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{2 a c e}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{2 a c e}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{-4 a c +b^{2}}\, b^{2} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}+\frac{\sqrt{-4 a c +b^{2}}\, b^{2} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}+\frac{b^{3} g}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) c}+\frac{b^{3} g}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) c}-\frac{b^{2} e}{2 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{b^{2} e}{2 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{\sqrt{-4 a c +b^{2}}\, b g \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{2 \left(4 a c -b^{2}\right)^{2}}-\frac{\sqrt{-4 a c +b^{2}}\, b g \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{2 \left(4 a c -b^{2}\right)^{2}}+\frac{\sqrt{-4 a c +b^{2}}\, c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{-4 a c +b^{2}}\, c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{-4 a c +b^{2}}\, c e \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}+\frac{\sqrt{-4 a c +b^{2}}\, c e \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}-\frac{\sqrt{-4 a c +b^{2}}\, a g}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{\sqrt{-4 a c +b^{2}}\, a g}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{\sqrt{-4 a c +b^{2}}\, b^{2} g}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) c}-\frac{\sqrt{-4 a c +b^{2}}\, b^{2} g}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) c}"," ",0,"-1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)/a*b^2*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*b^2*e-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*b^2*e-c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*f-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*b*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-2*c^2/(4*a*c-b^2)^2*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f+1/2*c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*f+2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*c^2*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^2*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+2/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*a*c*f*x+2/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*a*c*f*x-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*b^2*f*x+1/2/(4*a*c-b^2)^2*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b*g+1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+2/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*a*c*e-1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))-1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)/a*b^2*d*x+3/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)/a*b^2*d*x+3*c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d+c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)/a*b^3*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+2/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*a*c*e-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*b^2*f*x+1/4/c/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*b^3*g+1/4/c/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*b^3*g-1/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)*a*g-1/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*a*b*g-1/2/(4*a*c-b^2)^2*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b*g+1/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)*a*g-1/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*a*b*g+1/4/c/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)*b^2*g-1/4/c/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)*b^2*g+1/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)*c*d*x-1/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*b*c*d*x+1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)/a*b^3*d*x-1/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)*c*d*x-1/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*b*c*d*x+1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)/a*b^3*d*x","B"
39,1,1801,393,0.070000," ","int((h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x)","\frac{\sqrt{2}\, a b c h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, a b c h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{2 \sqrt{2}\, a \,c^{2} f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{2}\, a \,c^{2} f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{3} c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, b^{3} c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, b^{3} h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b^{3} h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b^{2} c f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{2} c f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b \,c^{2} d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b \,c^{2} d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, a c h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, a c h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b c f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b c f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, \sqrt{-4 a c +b^{2}}\, c^{2} d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, \sqrt{-4 a c +b^{2}}\, c^{2} d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, b g \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{2 \left(4 a c -b^{2}\right)^{2}}-\frac{\sqrt{-4 a c +b^{2}}\, b g \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{2 \left(4 a c -b^{2}\right)^{2}}-\frac{\sqrt{-4 a c +b^{2}}\, c e \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}+\frac{\sqrt{-4 a c +b^{2}}\, c e \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}+\frac{-\frac{\left(a b h -2 a c f +b c d \right) x^{3}}{2 \left(4 a c -b^{2}\right) a}-\frac{\left(b g -2 c e \right) x^{2}}{2 \left(4 a c -b^{2}\right)}-\frac{\left(2 a^{2} h -a b f -2 a c d +b^{2} d \right) x}{2 \left(4 a c -b^{2}\right) a}-\frac{2 a g -b e}{2 \left(4 a c -b^{2}\right)}}{c \,x^{4}+b \,x^{2}+a}"," ",0,"1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*h+1/4/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*h+(-1/2/a*(a*b*h-2*a*c*f+b*c*d)/(4*a*c-b^2)*x^3-1/2*(b*g-2*c*e)/(4*a*c-b^2)*x^2-1/2*(2*a^2*h-a*b*f-2*a*c*d+b^2*d)/a/(4*a*c-b^2)*x-1/2*(2*a*g-b*e)/(4*a*c-b^2))/(c*x^4+b*x^2+a)-1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)/a*b^2*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d-c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*f-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*b*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-2*c^2/(4*a*c-b^2)^2*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f+1/2*c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*f+2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*c^2*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^2*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d+a/(4*a*c-b^2)^2*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h+1/2/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*b*g*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))-1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+3/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+3*c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d+c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)/a*b^3*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*h-1/2/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*b*g*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+a/(4*a*c-b^2)^2*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*h-a/(4*a*c-b^2)^2*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h+a/(4*a*c-b^2)^2*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*h+1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*h","B"
40,1,1917,420,0.049000," ","int((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x)","\frac{\sqrt{2}\, a b c h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, a b c h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{2 \sqrt{2}\, a \,c^{2} f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{2}\, a \,c^{2} f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{3} c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, b^{3} c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, b^{3} h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b^{3} h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b^{2} c f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{2} c f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b \,c^{2} d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b \,c^{2} d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, a c h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, a c h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} h \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} h \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b c f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b c f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, \sqrt{-4 a c +b^{2}}\, c^{2} d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, \sqrt{-4 a c +b^{2}}\, c^{2} d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{-4 a c +b^{2}}\, a i \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}+\frac{\sqrt{-4 a c +b^{2}}\, a i \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}+\frac{\sqrt{-4 a c +b^{2}}\, b g \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{2 \left(4 a c -b^{2}\right)^{2}}-\frac{\sqrt{-4 a c +b^{2}}\, b g \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{2 \left(4 a c -b^{2}\right)^{2}}-\frac{\sqrt{-4 a c +b^{2}}\, c e \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}+\frac{\sqrt{-4 a c +b^{2}}\, c e \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}+\frac{-\frac{\left(a b h -2 a c f +b c d \right) x^{3}}{2 \left(4 a c -b^{2}\right) a}-\frac{\left(2 a c i -b^{2} i +g b c -2 e \,c^{2}\right) x^{2}}{2 \left(4 a c -b^{2}\right) c}-\frac{\left(2 a^{2} h -a b f -2 a c d +b^{2} d \right) x}{2 \left(4 a c -b^{2}\right) a}+\frac{a b i -2 a c g +b c e}{2 \left(4 a c -b^{2}\right) c}}{c \,x^{4}+b \,x^{2}+a}"," ",0,"1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*b^2*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+1/4/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*h+(-1/2*(a*b*h-2*a*c*f+b*c*d)/(4*a*c-b^2)/a*x^3-1/2*(2*a*c*i-b^2*i+b*c*g-2*c^2*e)/(4*a*c-b^2)/c*x^2-1/2*(2*a^2*h-a*b*f-2*a*c*d+b^2*d)/(4*a*c-b^2)/a*x+1/2/c*(a*b*i-2*a*c*g+b*c*e)/(4*a*c-b^2))/(c*x^4+b*x^2+a)-1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)/a*b^2*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d-c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*f-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*b*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-2*c^2/(4*a*c-b^2)^2*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f+1/2*c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*f+2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*c^2*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^2*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d+a/(4*a*c-b^2)^2*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h+1/2/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*b*g*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))-1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+3/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+3*c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d+c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)/a*b^3*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*h-1/2/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*b*g*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*a*c*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*b*c*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+a/(4*a*c-b^2)^2*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*h+1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^3*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-a/(4*a*c-b^2)^2*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*i+a/(4*a*c-b^2)^2*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*i","B"
41,1,4570,718,0.104000," ","int((m*x^8+l*x^7+k*x^6+j*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x)","\text{output too large to display}"," ",0,"-3/4/c^2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^5*m+1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*b^2*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+1/4/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*h+4*a^2/(4*a*c-b^2)^2*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*l-1/(c*x^4+b*x^2+a)/(4*a*c-b^2)*a*g+1/2/(c*x^4+b*x^2+a)/(4*a*c-b^2)*b*e+4*a^2/(4*a*c-b^2)^2*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*l-1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)/a*b^2*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d+m*x/c^2-c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*f-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*b*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-2*c^2/(4*a*c-b^2)^2*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f+1/2*c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*f+2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*c^2*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^2*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d+a/(4*a*c-b^2)^2*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h+1/2/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*b*g*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))-1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+c/(c*x^4+b*x^2+a)/(4*a*c-b^2)*x*d+1/c/(c*x^4+b*x^2+a)/(4*a*c-b^2)*a^2*l-1/(c*x^4+b*x^2+a)*a/(4*a*c-b^2)*x^3*k-1/(c*x^4+b*x^2+a)/(4*a*c-b^2)*x^2*a*j-1/2/(c*x^4+b*x^2+a)/(4*a*c-b^2)*x^2*b*g-1/(c*x^4+b*x^2+a)*a/(4*a*c-b^2)*x*h-1/2/(c*x^4+b*x^2+a)/(4*a*c-b^2)*x^3*b*h+1/2/(c*x^4+b*x^2+a)/(4*a*c-b^2)*x*b*f+1/4/c^2/(4*a*c-b^2)^2*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*b^4*l-a/(4*a*c-b^2)^2*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*j+a/(4*a*c-b^2)^2*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*j+1/4/c^2/(4*a*c-b^2)^2*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*b^4*l+3/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+3*c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d+c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)/a*b^3*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+3/2/c/(c*x^4+b*x^2+a)*a/(4*a*c-b^2)*x^3*b*m-1/2*c/(c*x^4+b*x^2+a)/a/(4*a*c-b^2)*x^3*b*d+3/2/c/(c*x^4+b*x^2+a)/(4*a*c-b^2)*x^2*a*b*l+1/2/c/(c*x^4+b*x^2+a)*a/(4*a*c-b^2)*x*b*k-1/2/c^2/(c*x^4+b*x^2+a)*a/(4*a*c-b^2)*x*b^2*m-5*a^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*m+13*a^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*m+5/2*a/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*k-13*a^2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*m-5/2*a/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*k-5*a^2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*m+3/2/c*a/(4*a*c-b^2)^2*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b*l-6*c*a^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*k-3/2/c*a/(4*a*c-b^2)^2*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b*l+6*c*a^2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*k+3/4/c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^5*m-1/4/c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^4*k+1/4/c/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^4*k-1/4/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*h-1/2/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*b*g*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+19/4/c*a/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*m+19/4/c*a/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*m+1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*a*c*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*b*c*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+a/(4*a*c-b^2)^2*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*h+c/(c*x^4+b*x^2+a)/(4*a*c-b^2)*x^2*e+c/(c*x^4+b*x^2+a)/(4*a*c-b^2)*x^3*f+1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^3*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-25/4/c*a/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*m+25/4/c*a/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*m-3/4/c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^4*m-3/4/c^2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^4*m+1/4/c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^3*k-2*a/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*k-2*a/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*k+1/4/c/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^3*k-1/2/(c*x^4+b*x^2+a)/a/(4*a*c-b^2)*x*b^2*d-1/2/c^2/(c*x^4+b*x^2+a)/(4*a*c-b^2)*x^2*b^3*l-1/2/c^2/(c*x^4+b*x^2+a)/(4*a*c-b^2)*x^3*b^3*m-1/2/c^2/(c*x^4+b*x^2+a)/(4*a*c-b^2)*a*b^2*l+1/2/c/(c*x^4+b*x^2+a)/(4*a*c-b^2)*x^2*b^2*j+1/c/(c*x^4+b*x^2+a)*a^2/(4*a*c-b^2)*x*m+1/2/c/(c*x^4+b*x^2+a)/(4*a*c-b^2)*a*b*j+1/2/c/(c*x^4+b*x^2+a)/(4*a*c-b^2)*x^3*b^2*k-1/4/c^2/(4*a*c-b^2)^2*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b^3*l+1/4/c^2/(4*a*c-b^2)^2*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b^3*l-2/c*a/(4*a*c-b^2)^2*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*b^2*l-2/c*a/(4*a*c-b^2)^2*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*b^2*l","B"
42,1,186,125,0.020000," ","int((e*x+d)/(x^4-5*x^2+4)^3,x)","-\frac{313 d \ln \left(x +2\right)}{41472}+\frac{313 d \ln \left(x -2\right)}{41472}-\frac{13 d \ln \left(x -1\right)}{1296}+\frac{13 d \ln \left(x +1\right)}{1296}+\frac{e \ln \left(x +2\right)}{81}+\frac{e \ln \left(x -2\right)}{81}-\frac{e \ln \left(x -1\right)}{81}-\frac{e \ln \left(x +1\right)}{81}+\frac{19 d}{6912 \left(x -2\right)}-\frac{d}{3456 \left(x -2\right)^{2}}+\frac{d}{432 x +432}-\frac{d}{432 \left(x +1\right)^{2}}+\frac{d}{432 x -432}+\frac{d}{432 \left(x -1\right)^{2}}+\frac{19 d}{6912 \left(x +2\right)}+\frac{d}{3456 \left(x +2\right)^{2}}+\frac{17 e}{3456 \left(x -2\right)}-\frac{e}{1728 \left(x -2\right)^{2}}-\frac{e}{144 \left(x +1\right)}+\frac{e}{432 \left(x +1\right)^{2}}+\frac{e}{144 x -144}+\frac{e}{432 \left(x -1\right)^{2}}-\frac{17 e}{3456 \left(x +2\right)}-\frac{e}{1728 \left(x +2\right)^{2}}"," ",0,"19/6912/(x-2)*d+17/3456/(x-2)*e-1/3456/(x-2)^2*d-1/1728/(x-2)^2*e+313/41472*d*ln(x-2)+1/81*e*ln(x-2)+1/432/(x+1)*d-1/144/(x+1)*e-1/432/(x+1)^2*d+1/432/(x+1)^2*e+13/1296*d*ln(x+1)-1/81*e*ln(x+1)-13/1296*d*ln(x-1)-1/81*e*ln(x-1)+1/432/(x-1)*d+1/144/(x-1)*e+1/432/(x-1)^2*d+1/432/(x-1)^2*e-313/41472*d*ln(x+2)+1/81*e*ln(x+2)+19/6912/(x+2)*d-17/3456/(x+2)*e+1/3456/(x+2)^2*d-1/1728/(x+2)^2*e","A"
43,1,278,157,0.023000," ","int((f*x^2+e*x+d)/(x^4-5*x^2+4)^3,x)","-\frac{313 d \ln \left(x +2\right)}{41472}+\frac{e \ln \left(x +2\right)}{81}-\frac{e \ln \left(x -1\right)}{81}-\frac{13 d \ln \left(x -1\right)}{1296}-\frac{e \ln \left(x +1\right)}{81}+\frac{13 d \ln \left(x +1\right)}{1296}+\frac{313 d \ln \left(x -2\right)}{41472}+\frac{e \ln \left(x -2\right)}{81}+\frac{205 f \ln \left(x -2\right)}{10368}+\frac{25 f \ln \left(x +1\right)}{1296}-\frac{25 f \ln \left(x -1\right)}{1296}-\frac{205 f \ln \left(x +2\right)}{10368}+\frac{e}{144 x -144}+\frac{d}{432 x +432}+\frac{d}{432 x -432}-\frac{d}{432 \left(x +1\right)^{2}}+\frac{e}{432 \left(x +1\right)^{2}}+\frac{d}{432 \left(x -1\right)^{2}}+\frac{e}{432 \left(x -1\right)^{2}}+\frac{d}{3456 \left(x +2\right)^{2}}-\frac{e}{1728 \left(x +2\right)^{2}}+\frac{f}{864 \left(x +2\right)^{2}}+\frac{f}{432 \left(x -1\right)^{2}}-\frac{f}{432 \left(x +1\right)^{2}}-\frac{f}{864 \left(x -2\right)^{2}}-\frac{d}{3456 \left(x -2\right)^{2}}-\frac{e}{1728 \left(x -2\right)^{2}}+\frac{19 d}{6912 \left(x +2\right)}-\frac{17 e}{3456 \left(x +2\right)}+\frac{19 d}{6912 \left(x -2\right)}+\frac{17 e}{3456 \left(x -2\right)}-\frac{e}{144 \left(x +1\right)}+\frac{5 f}{432 \left(x -1\right)}+\frac{5 f}{576 \left(x +2\right)}+\frac{5 f}{576 \left(x -2\right)}+\frac{5 f}{432 \left(x +1\right)}"," ",0,"-313/41472*d*ln(x+2)+1/81*e*ln(x+2)-1/81*e*ln(x-1)-13/1296*d*ln(x-1)-1/81*e*ln(x+1)+13/1296*d*ln(x+1)+313/41472*d*ln(x-2)+1/81*e*ln(x-2)+205/10368*f*ln(x-2)+25/1296*f*ln(x+1)-25/1296*f*ln(x-1)-205/10368*f*ln(x+2)-1/432/(x+1)^2*d+1/432/(x+1)^2*e+1/432/(x-1)^2*d+1/432/(x-1)^2*e+1/3456/(x+2)^2*d-1/1728/(x+2)^2*e+1/864/(x+2)^2*f+1/432/(x-1)^2*f-1/432/(x+1)^2*f-1/864/(x-2)^2*f-1/3456/(x-2)^2*d-1/1728/(x-2)^2*e+19/6912/(x+2)*d-17/3456/(x+2)*e+19/6912/(x-2)*d+17/3456/(x-2)*e+1/432/(x+1)*d-1/144/(x+1)*e+1/432/(x-1)*d+1/144/(x-1)*e+5/432/(x-1)*f+5/576/(x+2)*f+5/576/(x-2)*f+5/432/(x+1)*f","A"
44,1,370,186,0.022000," ","int((g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^3,x)","-\frac{5 g \ln \left(x -1\right)}{162}+\frac{5 g \ln \left(x +2\right)}{162}+\frac{5 g \ln \left(x -2\right)}{162}-\frac{5 g \ln \left(x +1\right)}{162}-\frac{313 d \ln \left(x +2\right)}{41472}+\frac{e \ln \left(x +2\right)}{81}-\frac{e \ln \left(x -1\right)}{81}-\frac{13 d \ln \left(x -1\right)}{1296}-\frac{e \ln \left(x +1\right)}{81}+\frac{13 d \ln \left(x +1\right)}{1296}+\frac{313 d \ln \left(x -2\right)}{41472}+\frac{e \ln \left(x -2\right)}{81}+\frac{205 f \ln \left(x -2\right)}{10368}+\frac{25 f \ln \left(x +1\right)}{1296}-\frac{25 f \ln \left(x -1\right)}{1296}-\frac{205 f \ln \left(x +2\right)}{10368}+\frac{e}{144 x -144}+\frac{d}{432 x +432}+\frac{d}{432 x -432}-\frac{g}{432 \left(x +2\right)^{2}}+\frac{g}{432 \left(x -1\right)^{2}}+\frac{g}{432 \left(x +1\right)^{2}}-\frac{g}{432 \left(x -2\right)^{2}}-\frac{d}{432 \left(x +1\right)^{2}}+\frac{e}{432 \left(x +1\right)^{2}}+\frac{d}{432 \left(x -1\right)^{2}}+\frac{e}{432 \left(x -1\right)^{2}}+\frac{d}{3456 \left(x +2\right)^{2}}-\frac{e}{1728 \left(x +2\right)^{2}}+\frac{f}{864 \left(x +2\right)^{2}}+\frac{f}{432 \left(x -1\right)^{2}}-\frac{f}{432 \left(x +1\right)^{2}}-\frac{f}{864 \left(x -2\right)^{2}}-\frac{d}{3456 \left(x -2\right)^{2}}-\frac{e}{1728 \left(x -2\right)^{2}}-\frac{13 g}{864 \left(x +2\right)}-\frac{7 g}{432 \left(x +1\right)}+\frac{7 g}{432 \left(x -1\right)}+\frac{13 g}{864 \left(x -2\right)}+\frac{19 d}{6912 \left(x +2\right)}-\frac{17 e}{3456 \left(x +2\right)}+\frac{19 d}{6912 \left(x -2\right)}+\frac{17 e}{3456 \left(x -2\right)}-\frac{e}{144 \left(x +1\right)}+\frac{5 f}{432 \left(x -1\right)}+\frac{5 f}{576 \left(x +2\right)}+\frac{5 f}{576 \left(x -2\right)}+\frac{5 f}{432 \left(x +1\right)}"," ",0,"-5/162*g*ln(x-1)+5/162*g*ln(x+2)+5/162*g*ln(x-2)-5/162*g*ln(x+1)-313/41472*d*ln(x+2)+1/81*e*ln(x+2)-1/81*e*ln(x-1)-13/1296*d*ln(x-1)-1/81*e*ln(x+1)+13/1296*d*ln(x+1)+313/41472*d*ln(x-2)+1/81*e*ln(x-2)+205/10368*f*ln(x-2)+25/1296*f*ln(x+1)-25/1296*f*ln(x-1)-205/10368*f*ln(x+2)-1/432/(x+2)^2*g+1/432/(x-1)^2*g+1/432/(x+1)^2*g-1/432/(x-2)^2*g-1/432/(x+1)^2*d+1/432/(x+1)^2*e+1/432/(x-1)^2*d+1/432/(x-1)^2*e+1/3456/(x+2)^2*d-1/1728/(x+2)^2*e+1/864/(x+2)^2*f+1/432/(x-1)^2*f-1/432/(x+1)^2*f-1/864/(x-2)^2*f-1/3456/(x-2)^2*d-1/1728/(x-2)^2*e-13/864/(x+2)*g-7/432/(x+1)*g+7/432/(x-1)*g+13/864/(x-2)*g+19/6912/(x+2)*d-17/3456/(x+2)*e+19/6912/(x-2)*d+17/3456/(x-2)*e+1/432/(x+1)*d-1/144/(x+1)*e+1/432/(x-1)*d+1/144/(x-1)*e+5/432/(x-1)*f+5/576/(x+2)*f+5/576/(x-2)*f+5/432/(x+1)*f","A"
45,1,462,206,0.022000," ","int((h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^3,x)","-\frac{121 h \ln \left(x +2\right)}{2592}-\frac{61 h \ln \left(x -1\right)}{1296}+\frac{61 h \ln \left(x +1\right)}{1296}+\frac{121 h \ln \left(x -2\right)}{2592}-\frac{5 g \ln \left(x -1\right)}{162}+\frac{5 g \ln \left(x +2\right)}{162}+\frac{5 g \ln \left(x -2\right)}{162}-\frac{5 g \ln \left(x +1\right)}{162}-\frac{313 d \ln \left(x +2\right)}{41472}+\frac{e \ln \left(x +2\right)}{81}-\frac{e \ln \left(x -1\right)}{81}-\frac{13 d \ln \left(x -1\right)}{1296}-\frac{e \ln \left(x +1\right)}{81}+\frac{13 d \ln \left(x +1\right)}{1296}+\frac{313 d \ln \left(x -2\right)}{41472}+\frac{e \ln \left(x -2\right)}{81}+\frac{205 f \ln \left(x -2\right)}{10368}+\frac{25 f \ln \left(x +1\right)}{1296}-\frac{25 f \ln \left(x -1\right)}{1296}-\frac{205 f \ln \left(x +2\right)}{10368}+\frac{h}{48 x +48}+\frac{h}{48 x -48}+\frac{e}{144 x -144}+\frac{d}{432 x +432}+\frac{d}{432 x -432}+\frac{h}{216 \left(x +2\right)^{2}}+\frac{h}{432 \left(x -1\right)^{2}}-\frac{h}{432 \left(x +1\right)^{2}}-\frac{h}{216 \left(x -2\right)^{2}}-\frac{g}{432 \left(x +2\right)^{2}}+\frac{g}{432 \left(x -1\right)^{2}}+\frac{g}{432 \left(x +1\right)^{2}}-\frac{g}{432 \left(x -2\right)^{2}}-\frac{d}{432 \left(x +1\right)^{2}}+\frac{e}{432 \left(x +1\right)^{2}}+\frac{d}{432 \left(x -1\right)^{2}}+\frac{e}{432 \left(x -1\right)^{2}}+\frac{d}{3456 \left(x +2\right)^{2}}-\frac{e}{1728 \left(x +2\right)^{2}}+\frac{f}{864 \left(x +2\right)^{2}}+\frac{f}{432 \left(x -1\right)^{2}}-\frac{f}{432 \left(x +1\right)^{2}}-\frac{f}{864 \left(x -2\right)^{2}}-\frac{d}{3456 \left(x -2\right)^{2}}-\frac{e}{1728 \left(x -2\right)^{2}}+\frac{11 h}{432 \left(x +2\right)}+\frac{11 h}{432 \left(x -2\right)}-\frac{13 g}{864 \left(x +2\right)}-\frac{7 g}{432 \left(x +1\right)}+\frac{7 g}{432 \left(x -1\right)}+\frac{13 g}{864 \left(x -2\right)}+\frac{19 d}{6912 \left(x +2\right)}-\frac{17 e}{3456 \left(x +2\right)}+\frac{19 d}{6912 \left(x -2\right)}+\frac{17 e}{3456 \left(x -2\right)}-\frac{e}{144 \left(x +1\right)}+\frac{5 f}{432 \left(x -1\right)}+\frac{5 f}{576 \left(x +2\right)}+\frac{5 f}{576 \left(x -2\right)}+\frac{5 f}{432 \left(x +1\right)}"," ",0,"-121/2592*h*ln(x+2)-61/1296*h*ln(x-1)+61/1296*h*ln(x+1)+121/2592*h*ln(x-2)-5/162*g*ln(x-1)+5/162*g*ln(x+2)+5/162*g*ln(x-2)-5/162*g*ln(x+1)-313/41472*d*ln(x+2)+1/81*e*ln(x+2)-1/81*e*ln(x-1)-13/1296*d*ln(x-1)-1/81*e*ln(x+1)+13/1296*d*ln(x+1)+313/41472*d*ln(x-2)+1/81*e*ln(x-2)+205/10368*f*ln(x-2)+25/1296*f*ln(x+1)-25/1296*f*ln(x-1)-205/10368*f*ln(x+2)+1/216/(x+2)^2*h+1/432/(x-1)^2*h-1/432/(x+1)^2*h-1/216/(x-2)^2*h-1/432/(x+2)^2*g+1/432/(x-1)^2*g+1/432/(x+1)^2*g-1/432/(x-2)^2*g-1/432/(x+1)^2*d+1/432/(x+1)^2*e+1/432/(x-1)^2*d+1/432/(x-1)^2*e+1/3456/(x+2)^2*d-1/1728/(x+2)^2*e+1/864/(x+2)^2*f+1/432/(x-1)^2*f-1/432/(x+1)^2*f-1/864/(x-2)^2*f-1/3456/(x-2)^2*d-1/1728/(x-2)^2*e+11/432/(x+2)*h+1/48/(x+1)*h+1/48/(x-1)*h+11/432/(x-2)*h-13/864/(x+2)*g-7/432/(x+1)*g+7/432/(x-1)*g+13/864/(x-2)*g+19/6912/(x+2)*d-17/3456/(x+2)*e+19/6912/(x-2)*d+17/3456/(x-2)*e+1/432/(x+1)*d-1/144/(x+1)*e+1/432/(x-1)*d+1/144/(x-1)*e+5/432/(x-1)*f+5/576/(x+2)*f+5/576/(x-2)*f+5/432/(x+1)*f","B"
46,1,554,221,0.021000," ","int((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^3,x)","\frac{11 i \ln \left(x +2\right)}{162}-\frac{11 i \ln \left(x -1\right)}{162}-\frac{11 i \ln \left(x +1\right)}{162}+\frac{11 i \ln \left(x -2\right)}{162}-\frac{121 h \ln \left(x +2\right)}{2592}-\frac{61 h \ln \left(x -1\right)}{1296}+\frac{61 h \ln \left(x +1\right)}{1296}+\frac{121 h \ln \left(x -2\right)}{2592}-\frac{5 g \ln \left(x -1\right)}{162}+\frac{5 g \ln \left(x +2\right)}{162}+\frac{5 g \ln \left(x -2\right)}{162}-\frac{5 g \ln \left(x +1\right)}{162}-\frac{313 d \ln \left(x +2\right)}{41472}+\frac{e \ln \left(x +2\right)}{81}-\frac{e \ln \left(x -1\right)}{81}-\frac{13 d \ln \left(x -1\right)}{1296}-\frac{e \ln \left(x +1\right)}{81}+\frac{13 d \ln \left(x +1\right)}{1296}+\frac{313 d \ln \left(x -2\right)}{41472}+\frac{e \ln \left(x -2\right)}{81}+\frac{205 f \ln \left(x -2\right)}{10368}+\frac{25 f \ln \left(x +1\right)}{1296}-\frac{25 f \ln \left(x -1\right)}{1296}-\frac{205 f \ln \left(x +2\right)}{10368}+\frac{i}{24 x -48}+\frac{h}{48 x +48}+\frac{h}{48 x -48}+\frac{e}{144 x -144}+\frac{d}{432 x +432}+\frac{d}{432 x -432}-\frac{i}{108 \left(x +2\right)^{2}}+\frac{i}{432 \left(x -1\right)^{2}}+\frac{i}{432 \left(x +1\right)^{2}}-\frac{i}{108 \left(x -2\right)^{2}}+\frac{h}{216 \left(x +2\right)^{2}}+\frac{h}{432 \left(x -1\right)^{2}}-\frac{h}{432 \left(x +1\right)^{2}}-\frac{h}{216 \left(x -2\right)^{2}}-\frac{g}{432 \left(x +2\right)^{2}}+\frac{g}{432 \left(x -1\right)^{2}}+\frac{g}{432 \left(x +1\right)^{2}}-\frac{g}{432 \left(x -2\right)^{2}}-\frac{d}{432 \left(x +1\right)^{2}}+\frac{e}{432 \left(x +1\right)^{2}}+\frac{d}{432 \left(x -1\right)^{2}}+\frac{e}{432 \left(x -1\right)^{2}}+\frac{d}{3456 \left(x +2\right)^{2}}-\frac{e}{1728 \left(x +2\right)^{2}}+\frac{f}{864 \left(x +2\right)^{2}}+\frac{f}{432 \left(x -1\right)^{2}}-\frac{f}{432 \left(x +1\right)^{2}}-\frac{f}{864 \left(x -2\right)^{2}}-\frac{d}{3456 \left(x -2\right)^{2}}-\frac{e}{1728 \left(x -2\right)^{2}}-\frac{i}{24 \left(x +2\right)}-\frac{11 i}{432 \left(x +1\right)}+\frac{11 i}{432 \left(x -1\right)}+\frac{11 h}{432 \left(x +2\right)}+\frac{11 h}{432 \left(x -2\right)}-\frac{13 g}{864 \left(x +2\right)}-\frac{7 g}{432 \left(x +1\right)}+\frac{7 g}{432 \left(x -1\right)}+\frac{13 g}{864 \left(x -2\right)}+\frac{19 d}{6912 \left(x +2\right)}-\frac{17 e}{3456 \left(x +2\right)}+\frac{19 d}{6912 \left(x -2\right)}+\frac{17 e}{3456 \left(x -2\right)}-\frac{e}{144 \left(x +1\right)}+\frac{5 f}{432 \left(x -1\right)}+\frac{5 f}{576 \left(x +2\right)}+\frac{5 f}{576 \left(x -2\right)}+\frac{5 f}{432 \left(x +1\right)}"," ",0,"11/162*i*ln(x+2)-11/162*i*ln(x-1)-11/162*i*ln(x+1)+11/162*i*ln(x-2)-121/2592*h*ln(x+2)-61/1296*h*ln(x-1)+61/1296*h*ln(x+1)+121/2592*h*ln(x-2)-5/162*g*ln(x-1)+5/162*g*ln(x+2)+5/162*g*ln(x-2)-5/162*g*ln(x+1)-313/41472*d*ln(x+2)+1/81*e*ln(x+2)-1/81*e*ln(x-1)-13/1296*d*ln(x-1)-1/81*e*ln(x+1)+13/1296*d*ln(x+1)+313/41472*d*ln(x-2)+1/81*e*ln(x-2)+205/10368*f*ln(x-2)+25/1296*f*ln(x+1)-25/1296*f*ln(x-1)-205/10368*f*ln(x+2)-1/108/(x+2)^2*i+1/432/(x-1)^2*i+1/432/(x+1)^2*i-1/108/(x-2)^2*i+1/216/(x+2)^2*h+1/432/(x-1)^2*h-1/432/(x+1)^2*h-1/216/(x-2)^2*h-1/432/(x+2)^2*g+1/432/(x-1)^2*g+1/432/(x+1)^2*g-1/432/(x-2)^2*g-1/432/(x+1)^2*d+1/432/(x+1)^2*e+1/432/(x-1)^2*d+1/432/(x-1)^2*e+1/3456/(x+2)^2*d-1/1728/(x+2)^2*e+1/864/(x+2)^2*f+1/432/(x-1)^2*f-1/432/(x+1)^2*f-1/864/(x-2)^2*f-1/3456/(x-2)^2*d-1/1728/(x-2)^2*e-1/24/(x+2)*i-11/432/(x+1)*i+11/432/(x-1)*i+1/24/(x-2)*i+11/432/(x+2)*h+1/48/(x+1)*h+1/48/(x-1)*h+11/432/(x-2)*h-13/864/(x+2)*g-7/432/(x+1)*g+7/432/(x-1)*g+13/864/(x-2)*g+19/6912/(x+2)*d-17/3456/(x+2)*e+19/6912/(x-2)*d+17/3456/(x-2)*e+1/432/(x+1)*d-1/144/(x+1)*e+1/432/(x-1)*d+1/144/(x-1)*e+5/432/(x-1)*f+5/576/(x+2)*f+5/576/(x-2)*f+5/432/(x+1)*f","B"
47,1,180,158,0.017000," ","int((e*x+d)/(x^4+x^2+1)^3,x)","\frac{13 \sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{144}+\frac{13 \sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{144}-\frac{9 d \ln \left(x^{2}-x +1\right)}{32}+\frac{9 d \ln \left(x^{2}+x +1\right)}{32}-\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{-6 d \,x^{2}+\left(-\frac{7 d}{3}-\frac{4 e}{3}\right) x^{3}-4 d +2 e +\left(-\frac{20 d}{3}+\frac{e}{3}\right) x}{16 \left(x^{2}+x +1\right)^{2}}-\frac{-6 d \,x^{2}+\left(\frac{7 d}{3}-\frac{4 e}{3}\right) x^{3}-4 d -2 e +\left(\frac{20 d}{3}+\frac{e}{3}\right) x}{16 \left(x^{2}-x +1\right)^{2}}"," ",0,"1/16*((-7/3*d-4/3*e)*x^3-6*d*x^2+(-20/3*d+1/3*e)*x-4*d+2*e)/(x^2+x+1)^2+9/32*d*ln(x^2+x+1)+13/144*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-2/9*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))-1/16*((7/3*d-4/3*e)*x^3-6*d*x^2+(20/3*d+1/3*e)*x-4*d-2*e)/(x^2-x+1)^2-9/32*d*ln(x^2-x+1)+13/144*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+2/9*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))","A"
48,1,264,196,0.017000," ","int((f*x^2+e*x+d)/(x^4+x^2+1)^3,x)","\frac{13 \sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{144}+\frac{13 \sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{144}-\frac{9 d \ln \left(x^{2}-x +1\right)}{32}+\frac{9 d \ln \left(x^{2}+x +1\right)}{32}-\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{72}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{72}+\frac{f \ln \left(x^{2}-x +1\right)}{8}-\frac{f \ln \left(x^{2}+x +1\right)}{8}+\frac{\left(-\frac{7 d}{3}-\frac{4 e}{3}+\frac{7 f}{3}\right) x^{3}+\left(-6 d +4 f \right) x^{2}-4 d +2 e +\frac{4 f}{3}+\left(-\frac{20 d}{3}+\frac{e}{3}+\frac{13 f}{3}\right) x}{16 \left(x^{2}+x +1\right)^{2}}-\frac{\left(\frac{7 d}{3}-\frac{4 e}{3}-\frac{7 f}{3}\right) x^{3}+\left(-6 d +4 f \right) x^{2}-4 d -2 e +\frac{4 f}{3}+\left(\frac{20 d}{3}+\frac{e}{3}-\frac{13 f}{3}\right) x}{16 \left(x^{2}-x +1\right)^{2}}"," ",0,"1/16*((-7/3*d+7/3*f-4/3*e)*x^3+(-6*d+4*f)*x^2+(-20/3*d+13/3*f+1/3*e)*x-4*d+4/3*f+2*e)/(x^2+x+1)^2+9/32*d*ln(x^2+x+1)-1/8*f*ln(x^2+x+1)+13/144*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-2/9*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))+1/72*3^(1/2)*f*arctan(1/3*(2*x+1)*3^(1/2))-1/16*((7/3*d-7/3*f-4/3*e)*x^3+(-6*d+4*f)*x^2+(20/3*d-13/3*f+1/3*e)*x-4*d+4/3*f-2*e)/(x^2-x+1)^2-9/32*d*ln(x^2-x+1)+1/8*f*ln(x^2-x+1)+13/144*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+2/9*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))+1/72*3^(1/2)*f*arctan(1/3*(2*x-1)*3^(1/2))","A"
49,1,322,216,0.019000," ","int((g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^3,x)","\frac{13 \sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{144}+\frac{13 \sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{144}-\frac{9 d \ln \left(x^{2}-x +1\right)}{32}+\frac{9 d \ln \left(x^{2}+x +1\right)}{32}-\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{72}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{72}+\frac{f \ln \left(x^{2}-x +1\right)}{8}-\frac{f \ln \left(x^{2}+x +1\right)}{8}+\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}-\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\left(-\frac{7 d}{3}-\frac{4 e}{3}+\frac{7 f}{3}-\frac{g}{3}\right) x^{3}+\left(-6 d +4 f -2 g \right) x^{2}-4 d +2 e +\frac{4 f}{3}-2 g +\left(-\frac{20 d}{3}+\frac{e}{3}+\frac{13 f}{3}-\frac{8 g}{3}\right) x}{16 \left(x^{2}+x +1\right)^{2}}-\frac{\left(\frac{7 d}{3}-\frac{4 e}{3}-\frac{7 f}{3}-\frac{g}{3}\right) x^{3}+\left(-6 d +4 f +2 g \right) x^{2}-4 d -2 e +\frac{4 f}{3}+2 g +\left(\frac{20 d}{3}+\frac{e}{3}-\frac{13 f}{3}-\frac{8 g}{3}\right) x}{16 \left(x^{2}-x +1\right)^{2}}"," ",0,"1/16*((-7/3*d+7/3*f-4/3*e-1/3*g)*x^3+(-6*d+4*f-2*g)*x^2+(-20/3*d+13/3*f+1/3*e-8/3*g)*x-4*d+4/3*f+2*e-2*g)/(x^2+x+1)^2+9/32*d*ln(x^2+x+1)-1/8*f*ln(x^2+x+1)+13/144*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-2/9*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))+1/72*3^(1/2)*f*arctan(1/3*(2*x+1)*3^(1/2))+1/9*3^(1/2)*g*arctan(1/3*(2*x+1)*3^(1/2))-1/16*((7/3*d-7/3*f-4/3*e-1/3*g)*x^3+(-6*d+4*f+2*g)*x^2+(20/3*d-13/3*f+1/3*e-8/3*g)*x-4*d+4/3*f-2*e+2*g)/(x^2-x+1)^2-9/32*d*ln(x^2-x+1)+1/8*f*ln(x^2-x+1)+13/144*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+2/9*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))+1/72*3^(1/2)*f*arctan(1/3*(2*x-1)*3^(1/2))-1/9*3^(1/2)*g*arctan(1/3*(2*x-1)*3^(1/2))","A"
50,1,396,236,0.023000," ","int((h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^3,x)","\frac{13 \sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{144}+\frac{13 \sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{144}-\frac{9 d \ln \left(x^{2}-x +1\right)}{32}+\frac{9 d \ln \left(x^{2}+x +1\right)}{32}-\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{72}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{72}+\frac{f \ln \left(x^{2}-x +1\right)}{8}-\frac{f \ln \left(x^{2}+x +1\right)}{8}+\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}-\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, h \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{144}+\frac{\sqrt{3}\, h \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{144}-\frac{3 h \ln \left(x^{2}-x +1\right)}{32}+\frac{3 h \ln \left(x^{2}+x +1\right)}{32}+\frac{\left(-\frac{7 d}{3}-\frac{4 e}{3}+\frac{7 f}{3}-\frac{g}{3}-\frac{4 h}{3}\right) x^{3}+\left(-6 d +4 f -2 g -2 h \right) x^{2}-4 d +2 e +\frac{4 f}{3}-2 g +\left(-\frac{20 d}{3}+\frac{e}{3}+\frac{13 f}{3}-\frac{8 g}{3}-\frac{5 h}{3}\right) x}{16 \left(x^{2}+x +1\right)^{2}}-\frac{\left(\frac{7 d}{3}-\frac{4 e}{3}-\frac{7 f}{3}-\frac{g}{3}+\frac{4 h}{3}\right) x^{3}+\left(-6 d +4 f +2 g -2 h \right) x^{2}-4 d -2 e +\frac{4 f}{3}+2 g +\left(\frac{20 d}{3}+\frac{e}{3}-\frac{13 f}{3}-\frac{8 g}{3}+\frac{5 h}{3}\right) x}{16 \left(x^{2}-x +1\right)^{2}}"," ",0,"1/16*((-7/3*d+7/3*f-4/3*h-4/3*e-1/3*g)*x^3+(-6*d+4*f-2*h-2*g)*x^2+(-20/3*d+13/3*f-5/3*h+1/3*e-8/3*g)*x-4*d+4/3*f+2*e-2*g)/(x^2+x+1)^2+9/32*d*ln(x^2+x+1)-1/8*f*ln(x^2+x+1)+3/32*h*ln(x^2+x+1)+13/144*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-2/9*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))+1/72*3^(1/2)*f*arctan(1/3*(2*x+1)*3^(1/2))+1/9*3^(1/2)*g*arctan(1/3*(2*x+1)*3^(1/2))+1/144*3^(1/2)*h*arctan(1/3*(2*x+1)*3^(1/2))-1/16*((7/3*d-7/3*f+4/3*h-4/3*e-1/3*g)*x^3+(-6*d+4*f-2*h+2*g)*x^2+(20/3*d-13/3*f+5/3*h+1/3*e-8/3*g)*x-4*d+4/3*f-2*e+2*g)/(x^2-x+1)^2-9/32*d*ln(x^2-x+1)+1/8*f*ln(x^2-x+1)-3/32*h*ln(x^2-x+1)+13/144*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+2/9*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))+1/72*3^(1/2)*f*arctan(1/3*(2*x-1)*3^(1/2))-1/9*3^(1/2)*g*arctan(1/3*(2*x-1)*3^(1/2))+1/144*3^(1/2)*h*arctan(1/3*(2*x-1)*3^(1/2))","A"
51,1,454,242,0.019000," ","int((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4+x^2+1)^3,x)","\frac{13 \sqrt{3}\, d \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{144}+\frac{13 \sqrt{3}\, d \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{144}-\frac{9 d \ln \left(x^{2}-x +1\right)}{32}+\frac{9 d \ln \left(x^{2}+x +1\right)}{32}-\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 \sqrt{3}\, e \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{72}+\frac{\sqrt{3}\, f \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{72}+\frac{f \ln \left(x^{2}-x +1\right)}{8}-\frac{f \ln \left(x^{2}+x +1\right)}{8}+\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}-\frac{\sqrt{3}\, g \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, h \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{144}+\frac{\sqrt{3}\, h \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{144}-\frac{3 h \ln \left(x^{2}-x +1\right)}{32}+\frac{3 h \ln \left(x^{2}+x +1\right)}{32}-\frac{\sqrt{3}\, i \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{\sqrt{3}\, i \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\left(-\frac{7 d}{3}-\frac{4 e}{3}+\frac{7 f}{3}-\frac{g}{3}-\frac{4 h}{3}+\frac{i}{3}\right) x^{3}+\left(-6 d +4 f -2 g -2 h +2 i \right) x^{2}-4 d +2 e +\frac{4 f}{3}-2 g +\frac{4 i}{3}+\left(-\frac{20 d}{3}+\frac{e}{3}+\frac{13 f}{3}-\frac{8 g}{3}-\frac{5 h}{3}+\frac{7 i}{3}\right) x}{16 \left(x^{2}+x +1\right)^{2}}-\frac{\left(\frac{7 d}{3}-\frac{4 e}{3}-\frac{7 f}{3}-\frac{g}{3}+\frac{4 h}{3}+\frac{i}{3}\right) x^{3}+\left(-6 d +4 f +2 g -2 h -2 i \right) x^{2}-4 d -2 e +\frac{4 f}{3}+2 g -\frac{4 i}{3}+\left(\frac{20 d}{3}+\frac{e}{3}-\frac{13 f}{3}-\frac{8 g}{3}+\frac{5 h}{3}+\frac{7 i}{3}\right) x}{16 \left(x^{2}-x +1\right)^{2}}"," ",0,"1/16*((-7/3*d+7/3*f-4/3*h-4/3*e-1/3*g+1/3*i)*x^3+(-6*d+4*f-2*h-2*g+2*i)*x^2+(-20/3*d+13/3*f-5/3*h+1/3*e-8/3*g+7/3*i)*x-4*d+4/3*f+2*e-2*g+4/3*i)/(x^2+x+1)^2+9/32*d*ln(x^2+x+1)-1/8*f*ln(x^2+x+1)+3/32*h*ln(x^2+x+1)+13/144*3^(1/2)*d*arctan(1/3*(2*x+1)*3^(1/2))-2/9*3^(1/2)*e*arctan(1/3*(2*x+1)*3^(1/2))+1/72*3^(1/2)*f*arctan(1/3*(2*x+1)*3^(1/2))+1/9*3^(1/2)*g*arctan(1/3*(2*x+1)*3^(1/2))+1/144*3^(1/2)*h*arctan(1/3*(2*x+1)*3^(1/2))-1/9*3^(1/2)*i*arctan(1/3*(2*x+1)*3^(1/2))-1/16*((7/3*d-7/3*f+4/3*h-4/3*e-1/3*g+1/3*i)*x^3+(-6*d+4*f-2*h+2*g-2*i)*x^2+(20/3*d-13/3*f+5/3*h+1/3*e-8/3*g+7/3*i)*x-4*d+4/3*f-2*e+2*g-4/3*i)/(x^2-x+1)^2-9/32*d*ln(x^2-x+1)+1/8*f*ln(x^2-x+1)-3/32*h*ln(x^2-x+1)+13/144*3^(1/2)*d*arctan(1/3*(2*x-1)*3^(1/2))+2/9*3^(1/2)*e*arctan(1/3*(2*x-1)*3^(1/2))+1/72*3^(1/2)*f*arctan(1/3*(2*x-1)*3^(1/2))-1/9*3^(1/2)*g*arctan(1/3*(2*x-1)*3^(1/2))+1/144*3^(1/2)*h*arctan(1/3*(2*x-1)*3^(1/2))+1/9*3^(1/2)*i*arctan(1/3*(2*x-1)*3^(1/2))","A"
52,1,3725,421,0.359000," ","int((e*x+d)/(c*x^4+b*x^2+a)^3,x)","\text{output too large to display}"," ",0,"3/16*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/a^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^4*d-15/8*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/a*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d+3/16*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/a^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^4*d-15/8*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d+3/16*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/a^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^5*d-15/8*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2/a*d*x^3*(-4*a*c+b^2)^(1/2)*b^2+9/4*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/a*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d-3/16*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/a^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^5*d+15/8*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2/a*d*x^3*(-4*a*c+b^2)^(1/2)*b^2-9/4*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d-3*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)*(-4*a*c+b^2)^(1/2)*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+3*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)*(-4*a*c+b^2)^(1/2)*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))-1/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2*e*(-4*a*c+b^2)^(1/2)*b^2+1/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2*e*(-4*a*c+b^2)^(1/2)*b^2-3/4/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2*e*b^3-3/4/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2*e*b^3-3/16/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2/a^2*d*x^3*b^5-5/16/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2*d/a*x*b^4-3/16/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2/a^2*d*x^3*b^5-5/16/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2*d/a*x*b^4+9/2*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2*d*x^3*(-4*a*c+b^2)^(1/2)-6*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2*d*x^3*b+6*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2*e*x^2*a-3/2*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2*e*x^2*b^2-11*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2*d*a*x+4*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2*d*x*b^2+4*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2*e*(-4*a*c+b^2)^(1/2)*a+3*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2*e*a*b-9/2*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2*d*x^3*(-4*a*c+b^2)^(1/2)-6*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2*d*x^3*b+6*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2*e*x^2*a-3/2*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2*e*x^2*b^2-11*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2*d*a*x+4*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2*d*x*b^2-4*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2*e*(-4*a*c+b^2)^(1/2)*a+3*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2*e*a*b+9/4*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2/a*d*x^3*b^3+5/4*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2*d*x*b*(-4*a*c+b^2)^(1/2)+9/4*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2/a*d*x^3*b^3-5/4*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2*d*x*b*(-4*a*c+b^2)^(1/2)+21/2*c^3/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d-6*c^3/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+21/2*c^3/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d+3/16/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2/a^2*d*x^3*(-4*a*c+b^2)^(1/2)*b^4+5/16/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)^2*d/a*x*b^3*(-4*a*c+b^2)^(1/2)-3/16/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2/a^2*d*x^3*(-4*a*c+b^2)^(1/2)*b^4-5/16/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)^2*d/a*x*b^3*(-4*a*c+b^2)^(1/2)+6*c^3/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d","B"
53,1,7858,561,0.616000," ","int((f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
54,1,10222,588,0.448000," ","int((g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
55,1,3492,629,0.096000," ","int((h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x)","\text{output too large to display}"," ",0,"-15/2/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d+3/4/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^4*d+3/4/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^4*d+1/4/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^3*f+1/4/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^3*f-15/2/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d+(-1/8*c^2*(12*a^2*b*h-20*a^2*c*f-a*b^2*f+24*a*b*c*d-3*b^3*d)/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^7-3/2*c^2*(b*g-2*c*e)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^6+1/8/a^2*c*(4*a^3*c*h-19*a^2*b^2*h+28*a^2*b*c*f+28*a^2*c^2*d+2*a*b^3*f-49*a*b^2*c*d+6*b^4*d)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^5-9/4*b*c*(b*g-2*c*e)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^4-1/8*(16*a^3*b*c*h-36*a^3*c^2*f+5*a^2*b^3*h-5*a^2*b^2*c*f+4*a^2*b*c^2*d-a*b^4*f+20*a*b^3*c*d-3*b^5*d)/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^3-1/2*(5*a*c+b^2)*(b*g-2*c*e)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^2-1/8*(12*a^3*c*h+3*a^2*b^2*h-16*a^2*b*c*f-44*a^2*c^2*d+a*b^3*f+37*a*b^2*c*d-5*b^4*d)/(16*a^2*c^2-8*a*b^2*c+b^4)/a*x-1/4*(8*a^2*c*g+a*b^2*g-10*a*b*c*e+b^3*e)/(16*a^2*c^2-8*a*b^2*c+b^4))/(c*x^4+b*x^2+a)^2-4/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*f-24/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+4/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*f+24/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+3/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*h+20*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f-20*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f-3/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*h+42/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d+42/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d+6/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b*g-6/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b*g-12*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h+9/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d-9/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d-1/4/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^4*f+3/4/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^5*d-13/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*f+9/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*h+9/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*h-13/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*f-3/4/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^5*d+1/4/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^4*f+6*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*h+12*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h+6*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*h-12/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*e+12/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*e","B"
56,1,3824,676,0.063000," ","int((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x)","\text{output too large to display}"," ",0,"-15/2/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d+3/4/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^4*d+3/4/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^4*d+1/4/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^3*f+1/4/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^3*f-15/2/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d-4*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*i+4*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*i+(-1/8*c^2*(12*a^2*b*h-20*a^2*c*f-a*b^2*f+24*a*b*c*d-3*b^3*d)/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^7+1/2*c*(2*a*c*i+b^2*i-3*b*c*g+6*c^2*e)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^6+1/8/a^2*c*(4*a^3*c*h-19*a^2*b^2*h+28*a^2*b*c*f+28*a^2*c^2*d+2*a*b^3*f-49*a*b^2*c*d+6*b^4*d)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^5+3/4*b*(2*a*c*i+b^2*i-3*b*c*g+6*c^2*e)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^4-1/8*(16*a^3*b*c*h-36*a^3*c^2*f+5*a^2*b^3*h-5*a^2*b^2*c*f+4*a^2*b*c^2*d-a*b^4*f+20*a*b^3*c*d-3*b^5*d)/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^3-1/2*(2*a^2*c*i-5*a*b^2*i+5*a*b*c*g-10*a*c^2*e+b^3*g-2*b^2*c*e)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^2-1/8*(12*a^3*c*h+3*a^2*b^2*h-16*a^2*b*c*f-44*a^2*c^2*d+a*b^3*f+37*a*b^2*c*d-5*b^4*d)/(16*a^2*c^2-8*a*b^2*c+b^4)/a*x+1/4*(6*a^2*b*i-8*a^2*c*g-a*b^2*g+10*a*b*c*e-b^3*e)/(16*a^2*c^2-8*a*b^2*c+b^4))/(c*x^4+b*x^2+a)^2-4/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*f-24/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+4/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*f+24/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+3/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*h+20*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f-20*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f-3/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*h+42/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d+42/(16*a^2*c^2-8*a*b^2*c+b^4)*c^3/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d+6/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b*g-6/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b*g-12*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h+9/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d-9/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d-1/4/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^4*f+3/4/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^5*d-13/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*f+9/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*h+9/2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*h-13/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*f-3/4/a^2/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^5*d+1/4/a/(16*a^2*c^2-8*a*b^2*c+b^4)*c/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^4*f+6*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*h+12*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h+6*a/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*h-12/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*e+12/(16*a^2*c^2-8*a*b^2*c+b^4)*c^2/(16*a*c-4*b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*e+2/(16*a^2*c^2-8*a*b^2*c+b^4)/(16*a*c-4*b^2)*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b^2*i-2/(16*a^2*c^2-8*a*b^2*c+b^4)/(16*a*c-4*b^2)*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b^2*i","B"
57,1,6026,1100,0.125000," ","int((m*x^8+l*x^7+k*x^6+j*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
58,1,3107,593,0.089000," ","int((k*x^7+j*x^6+i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^2,x)","\text{output too large to display}"," ",0,"1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*b^2*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+1/4/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*h+(-1/2/a*(2*a^2*c*j-a*b^2*j+a*b*c*h-2*a*c^2*f+b*c^2*d)/(4*a*c-b^2)/c*x^3+1/2*(3*a*b*c*k-2*a*c^2*i-b^3*k+b^2*c*i-b*c^2*g+2*c^3*e)/(4*a*c-b^2)/c^2*x^2+1/2*(a^2*b*j-2*a^2*c*h+a*b*c*f+2*a*c^2*d-b^2*c*d)/a/c/(4*a*c-b^2)*x+1/2*(2*a^2*c*k-a*b^2*k+a*b*c*i-2*a*c^2*g+b*c^2*e)/(4*a*c-b^2)/c^2)/(c*x^4+b*x^2+a)-1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)/a*b^2*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d+4*a^2/(4*a*c-b^2)^2*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*k+4*a^2/(4*a*c-b^2)^2*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*k-c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*f-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*b*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-2*c^2/(4*a*c-b^2)^2*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f+1/2*c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*f+2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*c^2*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^2*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d+a/(4*a*c-b^2)^2*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*h+1/2/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*b*g*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))-1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))-1/4/(4*a*c-b^2)^2/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^4*j-3/2*a/(4*a*c-b^2)^2/c*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b*k+6*a^2/(4*a*c-b^2)^2*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*j+1/4/(4*a*c-b^2)^2/c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^4*j+5/2*a/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*j-6*a^2/(4*a*c-b^2)^2*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*j-5/2*a/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*j+3/2*a/(4*a*c-b^2)^2/c*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b*k-2*a/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*j+1/4/(4*a*c-b^2)^2/c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^3*j+1/4/(4*a*c-b^2)^2/c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^3*j-2*a/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*j+3/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+3*c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d+c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)/a*b^3*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+1/4/(4*a*c-b^2)^2/c^2*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*b^4*k+1/4/(4*a*c-b^2)^2/c^2*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*b^4*k-1/4/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*h-1/2/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*b*g*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*a*c*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*b*c*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+a/(4*a*c-b^2)^2*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*h+1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^3*h*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*a*i*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))+1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*a*i*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+1/4/(4*a*c-b^2)^2/c^2*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b^3*k-2*a/(4*a*c-b^2)^2/c*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*b^2*k-2*a/(4*a*c-b^2)^2/c*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))*b^2*k-1/4/(4*a*c-b^2)^2/c^2*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))*(-4*a*c+b^2)^(1/2)*b^3*k","B"
59,1,6130,1123,0.129000," ","int((k*x^11+j*x^8+i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
60,1,829,382,0.003000," ","int((c*x^4+b*x^2+a)^3*(a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6),x)","\frac{c^{4} f \,x^{19}}{19}+\frac{c^{4} e \,x^{18}}{18}+\frac{b \,c^{3} e \,x^{16}}{4}+\frac{\left(3 b \,c^{3} f +\left(b f +c d \right) c^{3}\right) x^{17}}{17}+\frac{\left(3 \left(b f +c d \right) b \,c^{2}+\left(a f +b d \right) c^{3}+\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) c f \right) x^{15}}{15}+\frac{\left(a \,c^{3} e +3 b^{2} c^{2} e +\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) c e \right) x^{14}}{14}+\frac{\left(a \,c^{3} d +3 \left(a f +b d \right) b \,c^{2}+\left(4 a b c +\left(2 a c +b^{2}\right) b \right) c f +\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) \left(b f +c d \right)\right) x^{13}}{13}+\frac{\left(3 a b \,c^{2} e +\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) b e +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) c e \right) x^{12}}{12}+\frac{\left(3 a b \,c^{2} d +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) c f +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) \left(b f +c d \right)+\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) \left(a f +b d \right)\right) x^{11}}{11}+\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) a e +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) b e +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) c e \right) x^{10}}{10}+a^{3} b e \,x^{4}+\frac{\left(3 a^{2} b c f +\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) a d +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) \left(b f +c d \right)+\left(4 a b c +\left(2 a c +b^{2}\right) b \right) \left(a f +b d \right)\right) x^{9}}{9}+\frac{\left(3 a^{2} b c e +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) a e +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) b e \right) x^{8}}{8}+\frac{a^{4} e \,x^{2}}{2}+\frac{\left(a^{3} c f +3 \left(b f +c d \right) a^{2} b +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) a d +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) \left(a f +b d \right)\right) x^{7}}{7}+a^{4} d x +\frac{\left(a^{3} c e +3 a^{2} b^{2} e +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) a e \right) x^{6}}{6}+\frac{\left(\left(b f +c d \right) a^{3}+3 \left(a f +b d \right) a^{2} b +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) a d \right) x^{5}}{5}+\frac{\left(3 a^{3} b d +\left(a f +b d \right) a^{3}\right) x^{3}}{3}"," ",0,"1/19*c^4*f*x^19+1/18*c^4*e*x^18+1/17*(3*b*c^3*f+c^3*(b*f+c*d))*x^17+1/4*b*c^3*e*x^16+1/15*((a*c^2+2*b^2*c+(2*a*c+b^2)*c)*c*f+3*b*c^2*(b*f+c*d)+c^3*(a*f+b*d))*x^15+1/14*((a*c^2+2*b^2*c+(2*a*c+b^2)*c)*c*e+3*b^2*c^2*e+a*c^3*e)*x^14+1/13*((4*a*b*c+(2*a*c+b^2)*b)*c*f+(a*c^2+2*b^2*c+(2*a*c+b^2)*c)*(b*f+c*d)+3*b*c^2*(a*f+b*d)+a*c^3*d)*x^13+1/12*((4*a*b*c+(2*a*c+b^2)*b)*c*e+(a*c^2+2*b^2*c+(2*a*c+b^2)*c)*b*e+3*a*b*c^2*e)*x^12+1/11*((a^2*c+2*a*b^2+(2*a*c+b^2)*a)*c*f+(4*a*b*c+(2*a*c+b^2)*b)*(b*f+c*d)+(a*c^2+2*b^2*c+(2*a*c+b^2)*c)*(a*f+b*d)+3*d*a*b*c^2)*x^11+1/10*((a^2*c+2*a*b^2+(2*a*c+b^2)*a)*c*e+(4*a*b*c+(2*a*c+b^2)*b)*b*e+(a*c^2+2*b^2*c+(2*a*c+b^2)*c)*a*e)*x^10+1/9*(3*a^2*b*c*f+(a^2*c+2*a*b^2+(2*a*c+b^2)*a)*(b*f+c*d)+(4*a*b*c+(2*a*c+b^2)*b)*(a*f+b*d)+(a*c^2+2*b^2*c+(2*a*c+b^2)*c)*a*d)*x^9+1/8*(3*a^2*b*c*e+(a^2*c+2*a*b^2+(2*a*c+b^2)*a)*b*e+(4*a*b*c+(2*a*c+b^2)*b)*a*e)*x^8+1/7*(a^3*c*f+3*a^2*b*(b*f+c*d)+(a^2*c+2*a*b^2+(2*a*c+b^2)*a)*(a*f+b*d)+(4*a*b*c+(2*a*c+b^2)*b)*a*d)*x^7+1/6*(a^3*c*e+3*a^2*b^2*e+(a^2*c+2*a*b^2+(2*a*c+b^2)*a)*a*e)*x^6+1/5*(a^3*(b*f+c*d)+3*a^2*b*(a*f+b*d)+(a^2*c+2*a*b^2+(2*a*c+b^2)*a)*a*d)*x^5+a^3*b*e*x^4+1/3*(a^3*(a*f+b*d)+3*a^3*b*d)*x^3+1/2*a^4*e*x^2+a^4*d*x","B"
61,1,354,231,0.002000," ","int((c*x^4+b*x^2+a)^2*(a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6),x)","\frac{c^{3} f \,x^{15}}{15}+\frac{c^{3} e \,x^{14}}{14}+\frac{b \,c^{2} e \,x^{12}}{4}+\frac{\left(2 b \,c^{2} f +\left(b f +c d \right) c^{2}\right) x^{13}}{13}+\frac{\left(2 \left(b f +c d \right) b c +\left(a f +b d \right) c^{2}+\left(2 a c +b^{2}\right) c f \right) x^{11}}{11}+\frac{\left(a \,c^{2} e +2 b^{2} c e +\left(2 a c +b^{2}\right) c e \right) x^{10}}{10}+\frac{\left(2 a b c f +a \,c^{2} d +2 \left(a f +b d \right) b c +\left(2 a c +b^{2}\right) \left(b f +c d \right)\right) x^{9}}{9}+\frac{3 a^{2} b e \,x^{4}}{4}+\frac{\left(4 a b c e +\left(2 a c +b^{2}\right) b e \right) x^{8}}{8}+\frac{\left(a^{2} c f +2 a b c d +2 \left(b f +c d \right) a b +\left(2 a c +b^{2}\right) \left(a f +b d \right)\right) x^{7}}{7}+\frac{a^{3} e \,x^{2}}{2}+\frac{\left(a^{2} c e +2 a \,b^{2} e +\left(2 a c +b^{2}\right) a e \right) x^{6}}{6}+a^{3} d x +\frac{\left(\left(b f +c d \right) a^{2}+2 \left(a f +b d \right) a b +\left(2 a c +b^{2}\right) a d \right) x^{5}}{5}+\frac{\left(2 a^{2} b d +\left(a f +b d \right) a^{2}\right) x^{3}}{3}"," ",0,"1/15*c^3*f*x^15+1/14*c^3*e*x^14+1/13*(2*b*c^2*f+c^2*(b*f+c*d))*x^13+1/4*b*c^2*e*x^12+1/11*((2*a*c+b^2)*c*f+2*b*c*(b*f+c*d)+c^2*(a*f+b*d))*x^11+1/10*((2*a*c+b^2)*c*e+2*b^2*c*e+a*c^2*e)*x^10+1/9*(2*a*b*c*f+(2*a*c+b^2)*(b*f+c*d)+2*b*c*(a*f+b*d)+a*c^2*d)*x^9+1/8*(4*a*b*c*e+(2*a*c+b^2)*b*e)*x^8+1/7*(a^2*c*f+2*a*b*(b*f+c*d)+(2*a*c+b^2)*(a*f+b*d)+2*a*b*c*d)*x^7+1/6*(a^2*c*e+2*a*b^2*e+(2*a*c+b^2)*a*e)*x^6+1/5*(a^2*(b*f+c*d)+2*a*b*(a*f+b*d)+(2*a*c+b^2)*a*d)*x^5+3/4*a^2*b*e*x^4+1/3*(a^2*(a*f+b*d)+2*a^2*b*d)*x^3+1/2*a^3*e*x^2+a^3*d*x","A"
62,1,161,134,0.001000," ","int((c*x^4+b*x^2+a)*(a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6),x)","\frac{c^{2} f \,x^{11}}{11}+\frac{c^{2} e \,x^{10}}{10}+\frac{b c e \,x^{8}}{4}+\frac{\left(b c f +\left(b f +c d \right) c \right) x^{9}}{9}+\frac{a b e \,x^{4}}{2}+\frac{\left(a c f +\left(b f +c d \right) b +\left(a f +b d \right) c \right) x^{7}}{7}+\frac{\left(2 a c e +b^{2} e \right) x^{6}}{6}+\frac{a^{2} e \,x^{2}}{2}+\frac{\left(a c d +\left(b f +c d \right) a +\left(a f +b d \right) b \right) x^{5}}{5}+a^{2} d x +\frac{\left(a b d +\left(a f +b d \right) a \right) x^{3}}{3}"," ",0,"1/11*c^2*f*x^11+1/10*c^2*e*x^10+1/9*(b*c*f+c*(b*f+c*d))*x^9+1/4*b*c*e*x^8+1/7*(a*c*f+b*(b*f+c*d)+c*(a*f+b*d))*x^7+1/6*(2*a*c*e+b^2*e)*x^6+1/5*(a*(b*f+c*d)+b*(a*f+b*d)+a*c*d)*x^5+1/2*a*b*e*x^4+1/3*(a*(a*f+b*d)+a*b*d)*x^3+1/2*a^2*e*x^2+a^2*d*x","A"
63,1,17,16,0.001000," ","int((a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6)/(c*x^4+b*x^2+a),x)","\frac{1}{3} f \,x^{3}+\frac{1}{2} e \,x^{2}+d x"," ",0,"d*x+1/2*e*x^2+1/3*f*x^3","A"
64,1,616,171,0.024000," ","int((a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6)/(c*x^4+b*x^2+a)^2,x)","-\frac{2 \sqrt{2}\, a c f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{2}\, a c f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b^{2} f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{2} f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, b f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{-4 a c +b^{2}}\, \sqrt{2}\, c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right) \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{-4 a c +b^{2}}\, e \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{2 \left(4 a c -b^{2}\right)}+\frac{\sqrt{-4 a c +b^{2}}\, e \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{8 a c -2 b^{2}}"," ",0,"-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))-2*c/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f*a+1/2/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f*b^2-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*f+c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*d+1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^2*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)","B"
65,1,1813,320,0.140000," ","int((a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6)/(c*x^4+b*x^2+a)^3,x)","-\frac{2 \sqrt{2}\, a \,c^{2} f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 \sqrt{2}\, a \,c^{2} f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{3} c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, b^{3} c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, b^{2} c f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b^{2} c f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b \,c^{2} d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, b \,c^{2} d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 a c f x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{2 a c f x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{b^{3} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}+\frac{b^{3} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} c d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b^{2} c d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{b^{2} f x}{2 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{b^{2} f x}{2 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{b c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{b c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b c f \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, \sqrt{-4 a c +b^{2}}\, b c f \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, \sqrt{-4 a c +b^{2}}\, c^{2} d \arctanh \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{3 \sqrt{2}\, \sqrt{-4 a c +b^{2}}\, c^{2} d \arctan \left(\frac{\sqrt{2}\, c x}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{\left(4 a c -b^{2}\right)^{2} \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{2 a c e}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{2 a c e}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{-4 a c +b^{2}}\, b^{2} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}+\frac{\sqrt{-4 a c +b^{2}}\, b^{2} d x}{4 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right) a}-\frac{b^{2} e}{2 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{b^{2} e}{2 \left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}+\frac{\sqrt{-4 a c +b^{2}}\, c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}+\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{-4 a c +b^{2}}\, c d x}{\left(4 a c -b^{2}\right)^{2} \left(x^{2}+\frac{b}{2 c}-\frac{\sqrt{-4 a c +b^{2}}}{2 c}\right)}-\frac{\sqrt{-4 a c +b^{2}}\, c e \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}+\frac{\sqrt{-4 a c +b^{2}}\, c e \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{\left(4 a c -b^{2}\right)^{2}}"," ",0,"-1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)/a*b^2*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b^2*d-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*b^2*e-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*b^2*e-c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*b*f-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*b*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-2*c^2/(4*a*c-b^2)^2*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*f+1/2*c/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^2*f+2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*a*c^2*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/2/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b^2*c*f*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+2/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*a*c*f*x+2/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*a*c*f*x-1/4*c/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b^3*d-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*b^2*f*x+1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(2*c*x^2+b+(-4*a*c+b^2)^(1/2))+2/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*a*c*e-1/(4*a*c-b^2)^2*(-4*a*c+b^2)^(1/2)*c*e*ln(-2*c*x^2-b+(-4*a*c+b^2)^(1/2))-1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)/a*b^2*d*x+3/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*(-4*a*c+b^2)^(1/2)*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)-1/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*b*c^2*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)/a*b^2*d*x+3*c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*(-4*a*c+b^2)^(1/2)*d+c^2/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)*b*d+1/4/(4*a*c-b^2)^2*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)/a*b^3*c*d*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x)+2/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*a*c*e-1/2/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*b^2*f*x+1/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)*c*d*x-1/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)*b*c*d*x+1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c+1/2*(-4*a*c+b^2)^(1/2)/c)/a*b^3*d*x-1/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*(-4*a*c+b^2)^(1/2)*c*d*x-1/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)*b*c*d*x+1/4/(4*a*c-b^2)^2/(x^2+1/2*b/c-1/2*(-4*a*c+b^2)^(1/2)/c)/a*b^3*d*x","B"
66,1,7858,561,0.381000," ","int((a*d+a*e*x+(a*f+b*d)*x^2+b*e*x^3+(b*f+c*d)*x^4+c*e*x^5+c*f*x^6)/(c*x^4+b*x^2+a)^4,x)","\text{output too large to display}"," ",0,"result too large to display","B"
67,1,5,4,0.002000," ","int((x^3-2*x^2-x+2)/(x^4-5*x^2+4),x)","\ln \left(x +2\right)"," ",0,"ln(x+2)","A"
68,1,18,14,0.003000," ","int((e*x+d)*(x^3-2*x^2-x+2)/(x^4-5*x^2+4),x)","d \ln \left(x +2\right)+e x -2 e \ln \left(x +2\right)"," ",0,"e*x+d*ln(x+2)-2*e*ln(x+2)","A"
69,1,35,29,0.003000," ","int((f*x^2+e*x+d)*(x^3-2*x^2-x+2)/(x^4-5*x^2+4),x)","\frac{f \,x^{2}}{2}+d \ln \left(x +2\right)+e x -2 e \ln \left(x +2\right)-2 f x +4 f \ln \left(x +2\right)"," ",0,"1/2*f*x^2+e*x-2*f*x+d*ln(x+2)-2*e*ln(x+2)+4*f*ln(x+2)","A"
70,1,58,47,0.003000," ","int((x^3-2*x^2-x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x)","\frac{g \,x^{3}}{3}+\frac{f \,x^{2}}{2}-g \,x^{2}+d \ln \left(x +2\right)+e x -2 e \ln \left(x +2\right)-2 f x +4 f \ln \left(x +2\right)+4 g x -8 g \ln \left(x +2\right)"," ",0,"1/3*g*x^3+1/2*f*x^2-g*x^2+e*x-2*f*x+4*g*x+d*ln(x+2)-2*e*ln(x+2)+4*f*ln(x+2)-8*g*ln(x+2)","A"
71,1,87,62,0.002000," ","int((x^3-2*x^2-x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x)","\frac{h \,x^{4}}{4}+\frac{g \,x^{3}}{3}-\frac{2 h \,x^{3}}{3}+\frac{f \,x^{2}}{2}-g \,x^{2}+2 h \,x^{2}+d \ln \left(x +2\right)+e x -2 e \ln \left(x +2\right)-2 f x +4 f \ln \left(x +2\right)+4 g x -8 g \ln \left(x +2\right)-8 h x +16 h \ln \left(x +2\right)"," ",0,"1/4*h*x^4+1/3*g*x^3-2/3*h*x^3+1/2*f*x^2-g*x^2+2*h*x^2+e*x-2*f*x+4*g*x-8*h*x+d*ln(x+2)-2*e*ln(x+2)+4*f*ln(x+2)-8*g*ln(x+2)+16*h*ln(x+2)","A"
72,1,122,84,0.003000," ","int((x^3-2*x^2-x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x)","\frac{i \,x^{5}}{5}+\frac{h \,x^{4}}{4}-\frac{i \,x^{4}}{2}+\frac{g \,x^{3}}{3}-\frac{2 h \,x^{3}}{3}+\frac{4 i \,x^{3}}{3}+\frac{f \,x^{2}}{2}-g \,x^{2}+2 h \,x^{2}-4 i \,x^{2}+d \ln \left(x +2\right)+e x -2 e \ln \left(x +2\right)-2 f x +4 f \ln \left(x +2\right)+4 g x -8 g \ln \left(x +2\right)-8 h x +16 h \ln \left(x +2\right)+16 i x -32 i \ln \left(x +2\right)"," ",0,"1/5*i*x^5+1/4*h*x^4-1/2*i*x^4+1/3*g*x^3-2/3*h*x^3+4/3*i*x^3+1/2*f*x^2-g*x^2+2*h*x^2-4*i*x^2+e*x-2*f*x+4*g*x-8*h*x+16*i*x+d*ln(x+2)-2*e*ln(x+2)+4*f*ln(x+2)-8*g*ln(x+2)+16*h*ln(x+2)-32*i*ln(x+2)","A"
73,1,12,11,0.004000," ","int((x^2-3*x+2)/(x^4-5*x^2+4),x)","-\ln \left(x +2\right)+\ln \left(x +1\right)"," ",0,"ln(x+1)-ln(x+2)","A"
74,1,29,22,0.004000," ","int((e*x+d)*(x^2-3*x+2)/(x^4-5*x^2+4),x)","-d \ln \left(x +2\right)+d \ln \left(x +1\right)+2 e \ln \left(x +2\right)-e \ln \left(x +1\right)"," ",0,"d*ln(x+1)-e*ln(x+1)-d*ln(x+2)+2*e*ln(x+2)","A"
75,1,45,29,0.006000," ","int((x^2-3*x+2)*(f*x^2+e*x+d)/(x^4-5*x^2+4),x)","-d \ln \left(x +2\right)+d \ln \left(x +1\right)+2 e \ln \left(x +2\right)-e \ln \left(x +1\right)+f x -4 f \ln \left(x +2\right)+f \ln \left(x +1\right)"," ",0,"f*x+d*ln(x+1)-e*ln(x+1)+f*ln(x+1)-d*ln(x+2)+2*e*ln(x+2)-4*f*ln(x+2)","A"
76,1,69,45,0.006000," ","int((x^2-3*x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x)","\frac{g \,x^{2}}{2}-d \ln \left(x +2\right)+d \ln \left(x +1\right)+2 e \ln \left(x +2\right)-e \ln \left(x +1\right)+f x -4 f \ln \left(x +2\right)+f \ln \left(x +1\right)-3 g x +8 g \ln \left(x +2\right)-g \ln \left(x +1\right)"," ",0,"1/2*g*x^2+f*x-3*g*x+d*ln(x+1)-e*ln(x+1)+f*ln(x+1)-g*ln(x+1)-d*ln(x+2)+2*e*ln(x+2)-4*f*ln(x+2)+8*g*ln(x+2)","A"
77,1,98,62,0.008000," ","int((x^2-3*x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x)","\frac{h \,x^{3}}{3}+\frac{g \,x^{2}}{2}-\frac{3 h \,x^{2}}{2}-d \ln \left(x +2\right)+d \ln \left(x +1\right)+2 e \ln \left(x +2\right)-e \ln \left(x +1\right)+f x -4 f \ln \left(x +2\right)+f \ln \left(x +1\right)-3 g x +8 g \ln \left(x +2\right)-g \ln \left(x +1\right)+7 h x -16 h \ln \left(x +2\right)+h \ln \left(x +1\right)"," ",0,"1/3*h*x^3+1/2*g*x^2-3/2*h*x^2+f*x-3*g*x+7*h*x+d*ln(x+1)-e*ln(x+1)+f*ln(x+1)-g*ln(x+1)+h*ln(x+1)-d*ln(x+2)+2*e*ln(x+2)-4*f*ln(x+2)+8*g*ln(x+2)-16*h*ln(x+2)","A"
78,1,134,84,0.007000," ","int((x^2-3*x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x)","\frac{i \,x^{4}}{4}+\frac{h \,x^{3}}{3}-i \,x^{3}+\frac{g \,x^{2}}{2}-\frac{3 h \,x^{2}}{2}+\frac{7 i \,x^{2}}{2}-d \ln \left(x +2\right)+d \ln \left(x +1\right)+2 e \ln \left(x +2\right)-e \ln \left(x +1\right)+f x -4 f \ln \left(x +2\right)+f \ln \left(x +1\right)-3 g x +8 g \ln \left(x +2\right)-g \ln \left(x +1\right)+7 h x -16 h \ln \left(x +2\right)+h \ln \left(x +1\right)-15 i x +32 i \ln \left(x +2\right)-i \ln \left(x +1\right)"," ",0,"1/4*i*x^4+1/3*h*x^3-i*x^3+1/2*g*x^2-3/2*h*x^2+7/2*i*x^2+f*x-3*g*x+7*h*x-15*i*x+d*ln(x+1)-e*ln(x+1)+f*ln(x+1)-g*ln(x+1)+h*ln(x+1)-i*ln(x+1)-d*ln(x+2)+2*e*ln(x+2)-4*f*ln(x+2)+8*g*ln(x+2)-16*h*ln(x+2)+32*i*ln(x+2)","A"
79,1,20,23,0.008000," ","int((x+2)/(x^4-5*x^2+4),x)","\frac{\ln \left(x -2\right)}{3}-\frac{\ln \left(x -1\right)}{2}+\frac{\ln \left(x +1\right)}{6}"," ",0,"1/3*ln(x-2)+1/6*ln(x+1)-1/2*ln(x-1)","A"
80,1,44,36,0.006000," ","int((x+2)*(e*x+d)/(x^4-5*x^2+4),x)","\frac{d \ln \left(x -2\right)}{3}-\frac{d \ln \left(x -1\right)}{2}+\frac{d \ln \left(x +1\right)}{6}+\frac{2 e \ln \left(x -2\right)}{3}-\frac{e \ln \left(x -1\right)}{2}-\frac{e \ln \left(x +1\right)}{6}"," ",0,"1/3*d*ln(x-2)+2/3*e*ln(x-2)+1/6*d*ln(x+1)-1/6*e*ln(x+1)-1/2*d*ln(x-1)-1/2*e*ln(x-1)","A"
81,1,65,41,0.006000," ","int((x+2)*(f*x^2+e*x+d)/(x^4-5*x^2+4),x)","\frac{d \ln \left(x -2\right)}{3}-\frac{d \ln \left(x -1\right)}{2}+\frac{d \ln \left(x +1\right)}{6}+\frac{2 e \ln \left(x -2\right)}{3}-\frac{e \ln \left(x -1\right)}{2}-\frac{e \ln \left(x +1\right)}{6}+\frac{4 f \ln \left(x -2\right)}{3}-\frac{f \ln \left(x -1\right)}{2}+\frac{f \ln \left(x +1\right)}{6}"," ",0,"1/3*d*ln(x-2)+2/3*e*ln(x-2)+4/3*f*ln(x-2)+1/6*d*ln(x+1)-1/6*e*ln(x+1)+1/6*f*ln(x+1)-1/2*d*ln(x-1)-1/2*e*ln(x-1)-1/2*f*ln(x-1)","A"
82,1,89,51,0.007000," ","int((x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x)","\frac{d \ln \left(x -2\right)}{3}-\frac{d \ln \left(x -1\right)}{2}+\frac{d \ln \left(x +1\right)}{6}+\frac{2 e \ln \left(x -2\right)}{3}-\frac{e \ln \left(x -1\right)}{2}-\frac{e \ln \left(x +1\right)}{6}+\frac{4 f \ln \left(x -2\right)}{3}-\frac{f \ln \left(x -1\right)}{2}+\frac{f \ln \left(x +1\right)}{6}+g x +\frac{8 g \ln \left(x -2\right)}{3}-\frac{g \ln \left(x -1\right)}{2}-\frac{g \ln \left(x +1\right)}{6}"," ",0,"g*x+1/3*d*ln(x-2)+2/3*e*ln(x-2)+4/3*f*ln(x-2)+8/3*g*ln(x-2)+1/6*d*ln(x+1)-1/6*e*ln(x+1)+1/6*f*ln(x+1)-1/6*g*ln(x+1)-1/2*d*ln(x-1)-1/2*e*ln(x-1)-1/2*f*ln(x-1)-1/2*g*ln(x-1)","A"
83,1,120,66,0.007000," ","int((x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x)","\frac{h \,x^{2}}{2}+\frac{d \ln \left(x -2\right)}{3}-\frac{d \ln \left(x -1\right)}{2}+\frac{d \ln \left(x +1\right)}{6}+\frac{2 e \ln \left(x -2\right)}{3}-\frac{e \ln \left(x -1\right)}{2}-\frac{e \ln \left(x +1\right)}{6}+\frac{4 f \ln \left(x -2\right)}{3}-\frac{f \ln \left(x -1\right)}{2}+\frac{f \ln \left(x +1\right)}{6}+g x +\frac{8 g \ln \left(x -2\right)}{3}-\frac{g \ln \left(x -1\right)}{2}-\frac{g \ln \left(x +1\right)}{6}+2 h x +\frac{16 h \ln \left(x -2\right)}{3}-\frac{h \ln \left(x -1\right)}{2}+\frac{h \ln \left(x +1\right)}{6}"," ",0,"1/2*h*x^2+g*x+2*h*x+1/3*d*ln(x-2)+2/3*e*ln(x-2)+4/3*f*ln(x-2)+8/3*g*ln(x-2)+16/3*h*ln(x-2)+1/6*d*ln(x+1)-1/6*e*ln(x+1)+1/6*f*ln(x+1)-1/6*g*ln(x+1)+1/6*h*ln(x+1)-1/2*d*ln(x-1)-1/2*e*ln(x-1)-1/2*f*ln(x-1)-1/2*g*ln(x-1)-1/2*h*ln(x-1)","A"
84,1,156,86,0.009000," ","int((x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4),x)","\frac{i \,x^{3}}{3}+\frac{h \,x^{2}}{2}+i \,x^{2}+\frac{d \ln \left(x -2\right)}{3}-\frac{d \ln \left(x -1\right)}{2}+\frac{d \ln \left(x +1\right)}{6}+\frac{2 e \ln \left(x -2\right)}{3}-\frac{e \ln \left(x -1\right)}{2}-\frac{e \ln \left(x +1\right)}{6}+\frac{4 f \ln \left(x -2\right)}{3}-\frac{f \ln \left(x -1\right)}{2}+\frac{f \ln \left(x +1\right)}{6}+g x +\frac{8 g \ln \left(x -2\right)}{3}-\frac{g \ln \left(x -1\right)}{2}-\frac{g \ln \left(x +1\right)}{6}+2 h x +\frac{16 h \ln \left(x -2\right)}{3}-\frac{h \ln \left(x -1\right)}{2}+\frac{h \ln \left(x +1\right)}{6}+5 i x +\frac{32 i \ln \left(x -2\right)}{3}-\frac{i \ln \left(x -1\right)}{2}-\frac{i \ln \left(x +1\right)}{6}"," ",0,"1/3*d*ln(x-2)+2/3*e*ln(x-2)+4/3*f*ln(x-2)+8/3*g*ln(x-2)+16/3*h*ln(x-2)+32/3*i*ln(x-2)+1/3*i*x^3+1/2*h*x^2+i*x^2+g*x+2*h*x+5*i*x+1/6*d*ln(x+1)-1/6*e*ln(x+1)+1/6*f*ln(x+1)-1/6*g*ln(x+1)+1/6*h*ln(x+1)-1/6*i*ln(x+1)-1/2*d*ln(x-1)-1/2*e*ln(x-1)-1/2*f*ln(x-1)-1/2*g*ln(x-1)-1/2*h*ln(x-1)-1/2*i*ln(x-1)","A"
85,1,33,36,0.010000," ","int((x^3-2*x^2-x+2)/(x^4-5*x^2+4)^2,x)","-\frac{19 \ln \left(x +2\right)}{144}+\frac{\ln \left(x -2\right)}{48}-\frac{\ln \left(x -1\right)}{18}+\frac{\ln \left(x +1\right)}{6}+\frac{1}{12 x +24}"," ",0,"1/48*ln(x-2)+1/6*ln(x+1)-1/18*ln(x-1)+1/12/(x+2)-19/144*ln(x+2)","A"
86,1,74,61,0.010000," ","int((e*x+d)*(x^3-2*x^2-x+2)/(x^4-5*x^2+4)^2,x)","-\frac{19 d \ln \left(x +2\right)}{144}+\frac{d \ln \left(x -2\right)}{48}-\frac{d \ln \left(x -1\right)}{18}+\frac{d \ln \left(x +1\right)}{6}+\frac{13 e \ln \left(x +2\right)}{72}+\frac{e \ln \left(x -2\right)}{24}-\frac{e \ln \left(x -1\right)}{18}-\frac{e \ln \left(x +1\right)}{6}+\frac{d}{12 x +24}-\frac{e}{6 \left(x +2\right)}"," ",0,"1/48*d*ln(x-2)+1/24*e*ln(x-2)+1/6*d*ln(x+1)-1/6*e*ln(x+1)-1/18*d*ln(x-1)-1/18*e*ln(x-1)-19/144*d*ln(x+2)+13/72*e*ln(x+2)+1/12/(x+2)*d-1/6/(x+2)*e","A"
87,1,110,72,0.010000," ","int((f*x^2+e*x+d)*(x^3-2*x^2-x+2)/(x^4-5*x^2+4)^2,x)","-\frac{19 d \ln \left(x +2\right)}{144}+\frac{d \ln \left(x -2\right)}{48}-\frac{d \ln \left(x -1\right)}{18}+\frac{d \ln \left(x +1\right)}{6}+\frac{13 e \ln \left(x +2\right)}{72}+\frac{e \ln \left(x -2\right)}{24}-\frac{e \ln \left(x -1\right)}{18}-\frac{e \ln \left(x +1\right)}{6}-\frac{7 f \ln \left(x +2\right)}{36}+\frac{f \ln \left(x -2\right)}{12}-\frac{f \ln \left(x -1\right)}{18}+\frac{f \ln \left(x +1\right)}{6}+\frac{d}{12 x +24}-\frac{e}{6 \left(x +2\right)}+\frac{f}{3 x +6}"," ",0,"1/48*d*ln(x-2)+1/24*e*ln(x-2)+1/12*f*ln(x-2)+1/6*d*ln(x+1)-1/6*e*ln(x+1)+1/6*f*ln(x+1)-1/18*d*ln(x-1)-1/18*e*ln(x-1)-1/18*f*ln(x-1)+13/72*e*ln(x+2)-7/36*f*ln(x+2)-19/144*d*ln(x+2)+1/12/(x+2)*d-1/6/(x+2)*e+1/3/(x+2)*f","A"
88,1,146,85,0.013000," ","int((x^3-2*x^2-x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","-\frac{19 d \ln \left(x +2\right)}{144}+\frac{d \ln \left(x -2\right)}{48}-\frac{d \ln \left(x -1\right)}{18}+\frac{d \ln \left(x +1\right)}{6}+\frac{13 e \ln \left(x +2\right)}{72}+\frac{e \ln \left(x -2\right)}{24}-\frac{e \ln \left(x -1\right)}{18}-\frac{e \ln \left(x +1\right)}{6}-\frac{7 f \ln \left(x +2\right)}{36}+\frac{f \ln \left(x -2\right)}{12}-\frac{f \ln \left(x -1\right)}{18}+\frac{f \ln \left(x +1\right)}{6}+\frac{g \ln \left(x +2\right)}{18}+\frac{g \ln \left(x -2\right)}{6}-\frac{g \ln \left(x -1\right)}{18}-\frac{g \ln \left(x +1\right)}{6}+\frac{d}{12 x +24}-\frac{e}{6 \left(x +2\right)}+\frac{f}{3 x +6}-\frac{2 g}{3 \left(x +2\right)}"," ",0,"1/48*d*ln(x-2)+1/24*e*ln(x-2)+1/12*f*ln(x-2)+1/6*g*ln(x-2)+1/6*d*ln(x+1)-1/6*e*ln(x+1)+1/6*f*ln(x+1)-1/6*g*ln(x+1)-1/18*d*ln(x-1)-1/18*e*ln(x-1)-1/18*f*ln(x-1)-1/18*g*ln(x-1)+13/72*e*ln(x+2)-7/36*f*ln(x+2)+1/18*g*ln(x+2)-19/144*d*ln(x+2)+1/12/(x+2)*d-1/6/(x+2)*e+1/3/(x+2)*f-2/3/(x+2)*g","A"
89,1,182,96,0.010000," ","int((x^3-2*x^2-x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","\frac{5 h \ln \left(x +2\right)}{9}-\frac{h \ln \left(x -1\right)}{18}+\frac{h \ln \left(x +1\right)}{6}+\frac{h \ln \left(x -2\right)}{3}-\frac{g \ln \left(x -1\right)}{18}+\frac{g \ln \left(x +2\right)}{18}+\frac{g \ln \left(x -2\right)}{6}-\frac{g \ln \left(x +1\right)}{6}-\frac{19 d \ln \left(x +2\right)}{144}+\frac{13 e \ln \left(x +2\right)}{72}-\frac{e \ln \left(x -1\right)}{18}-\frac{d \ln \left(x -1\right)}{18}-\frac{e \ln \left(x +1\right)}{6}+\frac{d \ln \left(x +1\right)}{6}+\frac{d \ln \left(x -2\right)}{48}+\frac{e \ln \left(x -2\right)}{24}+\frac{f \ln \left(x -2\right)}{12}+\frac{f \ln \left(x +1\right)}{6}-\frac{f \ln \left(x -1\right)}{18}-\frac{7 f \ln \left(x +2\right)}{36}+\frac{f}{3 x +6}+\frac{d}{12 x +24}+\frac{4 h}{3 \left(x +2\right)}-\frac{2 g}{3 \left(x +2\right)}-\frac{e}{6 \left(x +2\right)}"," ",0,"5/9*h*ln(x+2)-1/18*h*ln(x-1)+1/6*h*ln(x+1)+1/3*h*ln(x-2)-1/18*g*ln(x-1)+1/18*g*ln(x+2)+1/6*g*ln(x-2)-1/6*g*ln(x+1)-19/144*d*ln(x+2)+13/72*e*ln(x+2)-1/18*e*ln(x-1)-1/18*d*ln(x-1)-1/6*e*ln(x+1)+1/6*d*ln(x+1)+1/48*d*ln(x-2)+1/24*e*ln(x-2)+1/12*f*ln(x-2)+1/6*f*ln(x+1)-1/18*f*ln(x-1)-7/36*f*ln(x+2)+4/3/(x+2)*h-2/3/(x+2)*g+1/12/(x+2)*d-1/6/(x+2)*e+1/3/(x+2)*f","A"
90,1,221,112,0.013000," ","int((x^3-2*x^2-x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","-\frac{22 i \ln \left(x +2\right)}{9}-\frac{i \ln \left(x -1\right)}{18}-\frac{i \ln \left(x +1\right)}{6}+\frac{2 i \ln \left(x -2\right)}{3}+\frac{5 h \ln \left(x +2\right)}{9}-\frac{h \ln \left(x -1\right)}{18}+\frac{h \ln \left(x +1\right)}{6}+\frac{h \ln \left(x -2\right)}{3}-\frac{g \ln \left(x -1\right)}{18}+\frac{g \ln \left(x +2\right)}{18}+\frac{g \ln \left(x -2\right)}{6}-\frac{g \ln \left(x +1\right)}{6}-\frac{19 d \ln \left(x +2\right)}{144}+\frac{13 e \ln \left(x +2\right)}{72}-\frac{e \ln \left(x -1\right)}{18}-\frac{d \ln \left(x -1\right)}{18}-\frac{e \ln \left(x +1\right)}{6}+\frac{d \ln \left(x +1\right)}{6}+\frac{d \ln \left(x -2\right)}{48}+\frac{e \ln \left(x -2\right)}{24}+\frac{f \ln \left(x -2\right)}{12}+\frac{f \ln \left(x +1\right)}{6}-\frac{f \ln \left(x -1\right)}{18}-\frac{7 f \ln \left(x +2\right)}{36}+i x +\frac{f}{3 x +6}+\frac{d}{12 x +24}-\frac{8 i}{3 \left(x +2\right)}+\frac{4 h}{3 \left(x +2\right)}-\frac{2 g}{3 \left(x +2\right)}-\frac{e}{6 \left(x +2\right)}"," ",0,"-22/9*i*ln(x+2)-1/18*i*ln(x-1)-1/6*i*ln(x+1)+2/3*i*ln(x-2)+5/9*h*ln(x+2)-1/18*h*ln(x-1)+1/6*h*ln(x+1)+1/3*h*ln(x-2)-1/18*g*ln(x-1)+1/18*g*ln(x+2)+1/6*g*ln(x-2)-1/6*g*ln(x+1)-19/144*d*ln(x+2)+13/72*e*ln(x+2)-1/18*e*ln(x-1)-1/18*d*ln(x-1)-1/6*e*ln(x+1)+1/6*d*ln(x+1)+1/48*d*ln(x-2)+1/24*e*ln(x-2)+1/12*f*ln(x-2)+1/6*f*ln(x+1)-1/18*f*ln(x-1)-7/36*f*ln(x+2)+i*x-8/3/(x+2)*i+4/3/(x+2)*h-2/3/(x+2)*g+1/12/(x+2)*d-1/6/(x+2)*e+1/3/(x+2)*f","A"
91,1,40,46,0.010000," ","int((x^2-3*x+2)/(x^4-5*x^2+4)^2,x)","\frac{31 \ln \left(x +2\right)}{144}+\frac{\ln \left(x -2\right)}{144}-\frac{\ln \left(x -1\right)}{36}-\frac{7 \ln \left(x +1\right)}{36}-\frac{1}{6 \left(x +1\right)}-\frac{1}{12 \left(x +2\right)}"," ",0,"1/144*ln(x-2)-1/6/(x+1)-7/36*ln(x+1)-1/36*ln(x-1)-1/12/(x+2)+31/144*ln(x+2)","A"
92,1,90,80,0.013000," ","int((e*x+d)*(x^2-3*x+2)/(x^4-5*x^2+4)^2,x)","\frac{31 d \ln \left(x +2\right)}{144}+\frac{d \ln \left(x -2\right)}{144}-\frac{d \ln \left(x -1\right)}{36}-\frac{7 d \ln \left(x +1\right)}{36}-\frac{25 e \ln \left(x +2\right)}{72}+\frac{e \ln \left(x -2\right)}{72}-\frac{e \ln \left(x -1\right)}{36}+\frac{13 e \ln \left(x +1\right)}{36}-\frac{d}{6 \left(x +1\right)}-\frac{d}{12 \left(x +2\right)}+\frac{e}{6 x +6}+\frac{e}{6 x +12}"," ",0,"1/144*d*ln(x-2)+1/72*e*ln(x-2)-7/36*d*ln(x+1)+13/36*e*ln(x+1)-1/6/(x+1)*d+1/6/(x+1)*e-1/36*d*ln(x-1)-1/36*e*ln(x-1)-1/12/(x+2)*d+1/6/(x+2)*e+31/144*d*ln(x+2)-25/72*e*ln(x+2)","A"
93,1,134,96,0.013000," ","int((x^2-3*x+2)*(f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","\frac{31 d \ln \left(x +2\right)}{144}+\frac{d \ln \left(x -2\right)}{144}-\frac{d \ln \left(x -1\right)}{36}-\frac{7 d \ln \left(x +1\right)}{36}-\frac{25 e \ln \left(x +2\right)}{72}+\frac{e \ln \left(x -2\right)}{72}-\frac{e \ln \left(x -1\right)}{36}+\frac{13 e \ln \left(x +1\right)}{36}+\frac{19 f \ln \left(x +2\right)}{36}+\frac{f \ln \left(x -2\right)}{36}-\frac{f \ln \left(x -1\right)}{36}-\frac{19 f \ln \left(x +1\right)}{36}-\frac{d}{6 \left(x +1\right)}-\frac{d}{12 \left(x +2\right)}+\frac{e}{6 x +6}+\frac{e}{6 x +12}-\frac{f}{6 \left(x +1\right)}-\frac{f}{3 \left(x +2\right)}"," ",0,"1/144*d*ln(x-2)+1/72*e*ln(x-2)+1/36*f*ln(x-2)-7/36*d*ln(x+1)+13/36*e*ln(x+1)-19/36*f*ln(x+1)-1/6/(x+1)*d+1/6/(x+1)*e-1/6/(x+1)*f-1/36*d*ln(x-1)-1/36*e*ln(x-1)-1/36*f*ln(x-1)-1/12/(x+2)*d+1/6/(x+2)*e-1/3/(x+2)*f+31/144*d*ln(x+2)-25/72*e*ln(x+2)+19/36*f*ln(x+2)","A"
94,1,178,107,0.015000," ","int((x^2-3*x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","\frac{31 d \ln \left(x +2\right)}{144}+\frac{d \ln \left(x -2\right)}{144}-\frac{d \ln \left(x -1\right)}{36}-\frac{7 d \ln \left(x +1\right)}{36}-\frac{25 e \ln \left(x +2\right)}{72}+\frac{e \ln \left(x -2\right)}{72}-\frac{e \ln \left(x -1\right)}{36}+\frac{13 e \ln \left(x +1\right)}{36}+\frac{19 f \ln \left(x +2\right)}{36}+\frac{f \ln \left(x -2\right)}{36}-\frac{f \ln \left(x -1\right)}{36}-\frac{19 f \ln \left(x +1\right)}{36}-\frac{13 g \ln \left(x +2\right)}{18}+\frac{g \ln \left(x -2\right)}{18}-\frac{g \ln \left(x -1\right)}{36}+\frac{25 g \ln \left(x +1\right)}{36}-\frac{d}{6 \left(x +1\right)}-\frac{d}{12 \left(x +2\right)}+\frac{e}{6 x +6}+\frac{e}{6 x +12}-\frac{f}{6 \left(x +1\right)}-\frac{f}{3 \left(x +2\right)}+\frac{g}{6 x +6}+\frac{2 g}{3 \left(x +2\right)}"," ",0,"1/144*d*ln(x-2)+1/72*e*ln(x-2)+1/36*f*ln(x-2)+1/18*g*ln(x-2)-7/36*d*ln(x+1)+13/36*e*ln(x+1)-19/36*f*ln(x+1)+25/36*g*ln(x+1)-1/6/(x+1)*d+1/6/(x+1)*e-1/6/(x+1)*f+1/6/(x+1)*g-1/36*d*ln(x-1)-1/36*e*ln(x-1)-1/36*f*ln(x-1)-1/36*g*ln(x-1)-1/12/(x+2)*d+1/6/(x+2)*e-1/3/(x+2)*f+2/3/(x+2)*g+31/144*d*ln(x+2)-25/72*e*ln(x+2)+19/36*f*ln(x+2)-13/18*g*ln(x+2)","A"
95,1,222,123,0.013000," ","int((x^2-3*x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","\frac{7 h \ln \left(x +2\right)}{9}-\frac{h \ln \left(x -1\right)}{36}-\frac{31 h \ln \left(x +1\right)}{36}+\frac{h \ln \left(x -2\right)}{9}-\frac{g \ln \left(x -1\right)}{36}-\frac{13 g \ln \left(x +2\right)}{18}+\frac{g \ln \left(x -2\right)}{18}+\frac{25 g \ln \left(x +1\right)}{36}+\frac{31 d \ln \left(x +2\right)}{144}-\frac{25 e \ln \left(x +2\right)}{72}-\frac{e \ln \left(x -1\right)}{36}-\frac{d \ln \left(x -1\right)}{36}+\frac{13 e \ln \left(x +1\right)}{36}-\frac{7 d \ln \left(x +1\right)}{36}+\frac{d \ln \left(x -2\right)}{144}+\frac{e \ln \left(x -2\right)}{72}+\frac{f \ln \left(x -2\right)}{36}-\frac{19 f \ln \left(x +1\right)}{36}-\frac{f \ln \left(x -1\right)}{36}+\frac{19 f \ln \left(x +2\right)}{36}+\frac{g}{6 x +6}+\frac{e}{6 x +6}+\frac{e}{6 x +12}-\frac{4 h}{3 \left(x +2\right)}-\frac{h}{6 \left(x +1\right)}+\frac{2 g}{3 \left(x +2\right)}-\frac{d}{12 \left(x +2\right)}-\frac{d}{6 \left(x +1\right)}-\frac{f}{3 \left(x +2\right)}-\frac{f}{6 \left(x +1\right)}"," ",0,"7/9*h*ln(x+2)-1/36*h*ln(x-1)-31/36*h*ln(x+1)+1/9*h*ln(x-2)-1/36*g*ln(x-1)-13/18*g*ln(x+2)+1/18*g*ln(x-2)+25/36*g*ln(x+1)+31/144*d*ln(x+2)-25/72*e*ln(x+2)-1/36*e*ln(x-1)-1/36*d*ln(x-1)+13/36*e*ln(x+1)-7/36*d*ln(x+1)+1/144*d*ln(x-2)+1/72*e*ln(x-2)+1/36*f*ln(x-2)-19/36*f*ln(x+1)-1/36*f*ln(x-1)+19/36*f*ln(x+2)-4/3/(x+2)*h-1/6/(x+1)*h+2/3/(x+2)*g+1/6/(x+1)*g-1/12/(x+2)*d+1/6/(x+2)*e-1/6/(x+1)*d+1/6/(x+1)*e-1/3/(x+2)*f-1/6/(x+1)*f","A"
96,1,266,137,0.014000," ","int((x^2-3*x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","-\frac{2 i \ln \left(x +2\right)}{9}-\frac{i \ln \left(x -1\right)}{36}+\frac{37 i \ln \left(x +1\right)}{36}+\frac{2 i \ln \left(x -2\right)}{9}+\frac{7 h \ln \left(x +2\right)}{9}-\frac{h \ln \left(x -1\right)}{36}-\frac{31 h \ln \left(x +1\right)}{36}+\frac{h \ln \left(x -2\right)}{9}-\frac{g \ln \left(x -1\right)}{36}-\frac{13 g \ln \left(x +2\right)}{18}+\frac{g \ln \left(x -2\right)}{18}+\frac{25 g \ln \left(x +1\right)}{36}+\frac{31 d \ln \left(x +2\right)}{144}-\frac{25 e \ln \left(x +2\right)}{72}-\frac{e \ln \left(x -1\right)}{36}-\frac{d \ln \left(x -1\right)}{36}+\frac{13 e \ln \left(x +1\right)}{36}-\frac{7 d \ln \left(x +1\right)}{36}+\frac{d \ln \left(x -2\right)}{144}+\frac{e \ln \left(x -2\right)}{72}+\frac{f \ln \left(x -2\right)}{36}-\frac{19 f \ln \left(x +1\right)}{36}-\frac{f \ln \left(x -1\right)}{36}+\frac{19 f \ln \left(x +2\right)}{36}+\frac{i}{6 x +6}+\frac{g}{6 x +6}+\frac{e}{6 x +6}+\frac{e}{6 x +12}+\frac{8 i}{3 \left(x +2\right)}-\frac{4 h}{3 \left(x +2\right)}-\frac{h}{6 \left(x +1\right)}+\frac{2 g}{3 \left(x +2\right)}-\frac{d}{12 \left(x +2\right)}-\frac{d}{6 \left(x +1\right)}-\frac{f}{3 \left(x +2\right)}-\frac{f}{6 \left(x +1\right)}"," ",0,"-2/9*i*ln(x+2)-1/36*i*ln(x-1)+37/36*i*ln(x+1)+2/9*i*ln(x-2)+7/9*h*ln(x+2)-1/36*h*ln(x-1)-31/36*h*ln(x+1)+1/9*h*ln(x-2)-1/36*g*ln(x-1)-13/18*g*ln(x+2)+1/18*g*ln(x-2)+25/36*g*ln(x+1)+31/144*d*ln(x+2)-25/72*e*ln(x+2)-1/36*e*ln(x-1)-1/36*d*ln(x-1)+13/36*e*ln(x+1)-7/36*d*ln(x+1)+1/144*d*ln(x-2)+1/72*e*ln(x-2)+1/36*f*ln(x-2)-19/36*f*ln(x+1)-1/36*f*ln(x-1)+19/36*f*ln(x+2)+8/3/(x+2)*i+1/6/(x+1)*i-4/3/(x+2)*h-1/6/(x+1)*h+2/3/(x+2)*g+1/6/(x+1)*g-1/12/(x+2)*d+1/6/(x+2)*e-1/6/(x+1)*d+1/6/(x+1)*e-1/3/(x+2)*f-1/6/(x+1)*f","A"
97,1,47,54,0.013000," ","int((x+2)/(x^4-5*x^2+4)^2,x)","\frac{\ln \left(x +2\right)}{144}-\frac{35 \ln \left(x -2\right)}{432}+\frac{\ln \left(x -1\right)}{18}+\frac{\ln \left(x +1\right)}{54}-\frac{1}{36 \left(x -2\right)}-\frac{1}{36 \left(x +1\right)}-\frac{1}{12 \left(x -1\right)}"," ",0,"-1/36/(x-2)-35/432*ln(x-2)-1/36/(x+1)+1/54*ln(x+1)-1/12/(x-1)+1/18*ln(x-1)+1/144*ln(x+2)","A"
98,1,106,91,0.014000," ","int((x+2)*(e*x+d)/(x^4-5*x^2+4)^2,x)","\frac{d \ln \left(x +2\right)}{144}-\frac{35 d \ln \left(x -2\right)}{432}+\frac{d \ln \left(x -1\right)}{18}+\frac{d \ln \left(x +1\right)}{54}-\frac{e \ln \left(x +2\right)}{72}-\frac{29 e \ln \left(x -2\right)}{216}+\frac{5 e \ln \left(x -1\right)}{36}+\frac{e \ln \left(x +1\right)}{108}-\frac{d}{36 \left(x -2\right)}-\frac{d}{36 \left(x +1\right)}-\frac{d}{12 \left(x -1\right)}-\frac{e}{18 \left(x -2\right)}+\frac{e}{36 x +36}-\frac{e}{12 \left(x -1\right)}"," ",0,"-35/432*d*ln(x-2)-29/216*e*ln(x-2)-1/36/(x-2)*d-1/18/(x-2)*e-1/36/(x+1)*d+1/36/(x+1)*e+1/54*d*ln(x+1)+1/108*e*ln(x+1)-1/12/(x-1)*d-1/12/(x-1)*e+1/18*d*ln(x-1)+5/36*e*ln(x-1)+1/144*d*ln(x+2)-1/72*e*ln(x+2)","A"
99,1,158,110,0.015000," ","int((x+2)*(f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","\frac{d \ln \left(x +2\right)}{144}-\frac{35 d \ln \left(x -2\right)}{432}+\frac{d \ln \left(x -1\right)}{18}+\frac{d \ln \left(x +1\right)}{54}-\frac{e \ln \left(x +2\right)}{72}-\frac{29 e \ln \left(x -2\right)}{216}+\frac{5 e \ln \left(x -1\right)}{36}+\frac{e \ln \left(x +1\right)}{108}+\frac{f \ln \left(x +2\right)}{36}-\frac{23 f \ln \left(x -2\right)}{108}+\frac{2 f \ln \left(x -1\right)}{9}-\frac{f \ln \left(x +1\right)}{27}-\frac{d}{36 \left(x -2\right)}-\frac{d}{36 \left(x +1\right)}-\frac{d}{12 \left(x -1\right)}-\frac{e}{18 \left(x -2\right)}+\frac{e}{36 x +36}-\frac{e}{12 \left(x -1\right)}-\frac{f}{9 \left(x -2\right)}-\frac{f}{36 \left(x +1\right)}-\frac{f}{12 \left(x -1\right)}"," ",0,"-35/432*d*ln(x-2)-29/216*e*ln(x-2)-23/108*f*ln(x-2)-1/36/(x-2)*d-1/18/(x-2)*e-1/9/(x-2)*f-1/36/(x+1)*d+1/36/(x+1)*e-1/36/(x+1)*f+1/54*d*ln(x+1)+1/108*e*ln(x+1)-1/27*f*ln(x+1)-1/12/(x-1)*d-1/12/(x-1)*e-1/12/(x-1)*f+1/18*d*ln(x-1)+5/36*e*ln(x-1)+2/9*f*ln(x-1)+1/144*d*ln(x+2)-1/72*e*ln(x+2)+1/36*f*ln(x+2)","A"
100,1,210,127,0.017000," ","int((x+2)*(g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","\frac{11 g \ln \left(x -1\right)}{36}-\frac{g \ln \left(x +2\right)}{18}-\frac{17 g \ln \left(x -2\right)}{54}+\frac{7 g \ln \left(x +1\right)}{108}+\frac{d \ln \left(x +2\right)}{144}-\frac{e \ln \left(x +2\right)}{72}+\frac{5 e \ln \left(x -1\right)}{36}+\frac{d \ln \left(x -1\right)}{18}+\frac{e \ln \left(x +1\right)}{108}+\frac{d \ln \left(x +1\right)}{54}-\frac{35 d \ln \left(x -2\right)}{432}-\frac{29 e \ln \left(x -2\right)}{216}-\frac{23 f \ln \left(x -2\right)}{108}-\frac{f \ln \left(x +1\right)}{27}+\frac{2 f \ln \left(x -1\right)}{9}+\frac{f \ln \left(x +2\right)}{36}+\frac{g}{36 x +36}+\frac{e}{36 x +36}-\frac{g}{12 \left(x -1\right)}-\frac{2 g}{9 \left(x -2\right)}-\frac{d}{36 \left(x -2\right)}-\frac{e}{18 \left(x -2\right)}-\frac{d}{36 \left(x +1\right)}-\frac{d}{12 \left(x -1\right)}-\frac{e}{12 \left(x -1\right)}-\frac{f}{12 \left(x -1\right)}-\frac{f}{9 \left(x -2\right)}-\frac{f}{36 \left(x +1\right)}"," ",0,"11/36*g*ln(x-1)-1/18*g*ln(x+2)-17/54*g*ln(x-2)+7/108*g*ln(x+1)+1/144*d*ln(x+2)-1/72*e*ln(x+2)+5/36*e*ln(x-1)+1/18*d*ln(x-1)+1/108*e*ln(x+1)+1/54*d*ln(x+1)-35/432*d*ln(x-2)-29/216*e*ln(x-2)-23/108*f*ln(x-2)-1/27*f*ln(x+1)+2/9*f*ln(x-1)+1/36*f*ln(x+2)+1/36/(x+1)*g-1/12/(x-1)*g-2/9/(x-2)*g-1/36/(x-2)*d-1/18/(x-2)*e-1/36/(x+1)*d+1/36/(x+1)*e-1/12/(x-1)*d-1/12/(x-1)*e-1/12/(x-1)*f-1/9/(x-2)*f-1/36/(x+1)*f","A"
101,1,262,146,0.016000," ","int((x+2)*(h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","\frac{h \ln \left(x +2\right)}{9}+\frac{7 h \ln \left(x -1\right)}{18}-\frac{5 h \ln \left(x +1\right)}{54}-\frac{11 h \ln \left(x -2\right)}{27}+\frac{11 g \ln \left(x -1\right)}{36}-\frac{g \ln \left(x +2\right)}{18}-\frac{17 g \ln \left(x -2\right)}{54}+\frac{7 g \ln \left(x +1\right)}{108}+\frac{d \ln \left(x +2\right)}{144}-\frac{e \ln \left(x +2\right)}{72}+\frac{5 e \ln \left(x -1\right)}{36}+\frac{d \ln \left(x -1\right)}{18}+\frac{e \ln \left(x +1\right)}{108}+\frac{d \ln \left(x +1\right)}{54}-\frac{35 d \ln \left(x -2\right)}{432}-\frac{29 e \ln \left(x -2\right)}{216}-\frac{23 f \ln \left(x -2\right)}{108}-\frac{f \ln \left(x +1\right)}{27}+\frac{2 f \ln \left(x -1\right)}{9}+\frac{f \ln \left(x +2\right)}{36}+\frac{g}{36 x +36}+\frac{e}{36 x +36}-\frac{h}{36 \left(x +1\right)}-\frac{h}{12 \left(x -1\right)}-\frac{4 h}{9 \left(x -2\right)}-\frac{g}{12 \left(x -1\right)}-\frac{2 g}{9 \left(x -2\right)}-\frac{d}{36 \left(x -2\right)}-\frac{e}{18 \left(x -2\right)}-\frac{d}{36 \left(x +1\right)}-\frac{d}{12 \left(x -1\right)}-\frac{e}{12 \left(x -1\right)}-\frac{f}{12 \left(x -1\right)}-\frac{f}{9 \left(x -2\right)}-\frac{f}{36 \left(x +1\right)}"," ",0,"1/9*h*ln(x+2)+7/18*h*ln(x-1)-5/54*h*ln(x+1)-11/27*h*ln(x-2)+11/36*g*ln(x-1)-1/18*g*ln(x+2)-17/54*g*ln(x-2)+7/108*g*ln(x+1)+1/144*d*ln(x+2)-1/72*e*ln(x+2)+5/36*e*ln(x-1)+1/18*d*ln(x-1)+1/108*e*ln(x+1)+1/54*d*ln(x+1)-35/432*d*ln(x-2)-29/216*e*ln(x-2)-23/108*f*ln(x-2)-1/27*f*ln(x+1)+2/9*f*ln(x-1)+1/36*f*ln(x+2)-1/36/(x+1)*h-1/12/(x-1)*h-4/9/(x-2)*h+1/36/(x+1)*g-1/12/(x-1)*g-2/9/(x-2)*g-1/36/(x-2)*d-1/18/(x-2)*e-1/36/(x+1)*d+1/36/(x+1)*e-1/12/(x-1)*d-1/12/(x-1)*e-1/12/(x-1)*f-1/9/(x-2)*f-1/36/(x+1)*f","A"
102,1,314,163,0.017000," ","int((x+2)*(i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(x^4-5*x^2+4)^2,x)","-\frac{2 i \ln \left(x +2\right)}{9}+\frac{17 i \ln \left(x -1\right)}{36}+\frac{13 i \ln \left(x +1\right)}{108}-\frac{10 i \ln \left(x -2\right)}{27}+\frac{h \ln \left(x +2\right)}{9}+\frac{7 h \ln \left(x -1\right)}{18}-\frac{5 h \ln \left(x +1\right)}{54}-\frac{11 h \ln \left(x -2\right)}{27}+\frac{11 g \ln \left(x -1\right)}{36}-\frac{g \ln \left(x +2\right)}{18}-\frac{17 g \ln \left(x -2\right)}{54}+\frac{7 g \ln \left(x +1\right)}{108}+\frac{d \ln \left(x +2\right)}{144}-\frac{e \ln \left(x +2\right)}{72}+\frac{5 e \ln \left(x -1\right)}{36}+\frac{d \ln \left(x -1\right)}{18}+\frac{e \ln \left(x +1\right)}{108}+\frac{d \ln \left(x +1\right)}{54}-\frac{35 d \ln \left(x -2\right)}{432}-\frac{29 e \ln \left(x -2\right)}{216}-\frac{23 f \ln \left(x -2\right)}{108}-\frac{f \ln \left(x +1\right)}{27}+\frac{2 f \ln \left(x -1\right)}{9}+\frac{f \ln \left(x +2\right)}{36}+\frac{i}{36 x +36}+\frac{g}{36 x +36}+\frac{e}{36 x +36}-\frac{i}{12 \left(x -1\right)}-\frac{8 i}{9 \left(x -2\right)}-\frac{h}{36 \left(x +1\right)}-\frac{h}{12 \left(x -1\right)}-\frac{4 h}{9 \left(x -2\right)}-\frac{g}{12 \left(x -1\right)}-\frac{2 g}{9 \left(x -2\right)}-\frac{d}{36 \left(x -2\right)}-\frac{e}{18 \left(x -2\right)}-\frac{d}{36 \left(x +1\right)}-\frac{d}{12 \left(x -1\right)}-\frac{e}{12 \left(x -1\right)}-\frac{f}{12 \left(x -1\right)}-\frac{f}{9 \left(x -2\right)}-\frac{f}{36 \left(x +1\right)}"," ",0,"-2/9*i*ln(x+2)+17/36*i*ln(x-1)+13/108*i*ln(x+1)-10/27*i*ln(x-2)+1/9*h*ln(x+2)+7/18*h*ln(x-1)-5/54*h*ln(x+1)-11/27*h*ln(x-2)+11/36*g*ln(x-1)-1/18*g*ln(x+2)-17/54*g*ln(x-2)+7/108*g*ln(x+1)+1/144*d*ln(x+2)-1/72*e*ln(x+2)+5/36*e*ln(x-1)+1/18*d*ln(x-1)+1/108*e*ln(x+1)+1/54*d*ln(x+1)-35/432*d*ln(x-2)-29/216*e*ln(x-2)-23/108*f*ln(x-2)-1/27*f*ln(x+1)+2/9*f*ln(x-1)+1/36*f*ln(x+2)+1/36/(x+1)*i-1/12/(x-1)*i-8/9/(x-2)*i-1/36/(x+1)*h-1/12/(x-1)*h-4/9/(x-2)*h+1/36/(x+1)*g-1/12/(x-1)*g-2/9/(x-2)*g-1/36/(x-2)*d-1/18/(x-2)*e-1/36/(x+1)*d+1/36/(x+1)*e-1/12/(x-1)*d-1/12/(x-1)*e-1/12/(x-1)*f-1/9/(x-2)*f-1/36/(x+1)*f","A"
103,1,3038,681,0.019000," ","int((g*x^3+f*x^2+e*x+d)*(c*x^4+b*x^2+a)^(3/2),x)","\text{output too large to display}"," ",0,"1/7*d*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))*a^2+2/15*f*a^3*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*EllipticE(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-2/15*f*a^3*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))+19/210*f*a^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))/c*b^2*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-4/315*f*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*b^4/c^2*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))+4/315*f*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*b^4/c^2*EllipticE(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))+1/35*d*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*b^3/c*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-1/35*d*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*b^3/c*EllipticE(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-19/210*f*a^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))/c*b^2*EllipticE(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))+1/315*f/c^2*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))*b^3-1/140*d*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))*a/c*b^2-8/35*d*a^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*b*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))+8/35*d*a^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*b*EllipticE(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-2/105*f/c*a^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))*b+3/64*g*a*b^3/c^(5/2)*ln((c*x^2+1/2*b)/c^(1/2)+(c*x^4+b*x^2+a)^(1/2))-5/64*g*a*b^2/c^2*(c*x^4+b*x^2+a)^(1/2)+8/105*f/c*x*(c*x^4+b*x^2+a)^(1/2)*a*b+7/160*g*a*b*x^2/c*(c*x^4+b*x^2+a)^(1/2)+5/16*e*a*x^2*(c*x^4+b*x^2+a)^(1/2)-3/128*e*b^3/c^2*(c*x^4+b*x^2+a)^(1/2)+3/256*e*b^4/c^(5/2)*ln((c*x^2+1/2*b)/c^(1/2)+(c*x^4+b*x^2+a)^(1/2))-3/512*g*b^5/c^(7/2)*ln((c*x^2+1/2*b)/c^(1/2)+(c*x^4+b*x^2+a)^(1/2))+1/10*g*a^2/c*(c*x^4+b*x^2+a)^(1/2)+1/9*f*c*x^7*(c*x^4+b*x^2+a)^(1/2)+10/63*f*b*x^5*(c*x^4+b*x^2+a)^(1/2)+11/45*f*x^3*(c*x^4+b*x^2+a)^(1/2)*a+3/16*e*b*x^4*(c*x^4+b*x^2+a)^(1/2)+1/8*e*c*x^6*(c*x^4+b*x^2+a)^(1/2)+3/16*e*a^2*ln((c*x^2+1/2*b)/c^(1/2)+(c*x^4+b*x^2+a)^(1/2))/c^(1/2)+1/7*d*c*x^5*(c*x^4+b*x^2+a)^(1/2)+8/35*d*b*x^3*(c*x^4+b*x^2+a)^(1/2)+3/7*d*x*(c*x^4+b*x^2+a)^(1/2)*a+1/5*g*a*x^4*(c*x^4+b*x^2+a)^(1/2)+3/256*g*b^4/c^3*(c*x^4+b*x^2+a)^(1/2)+1/10*g*c*x^8*(c*x^4+b*x^2+a)^(1/2)+11/80*g*b*x^6*(c*x^4+b*x^2+a)^(1/2)+1/160*g*b^2*x^4/c*(c*x^4+b*x^2+a)^(1/2)-1/128*g*b^3/c^2*x^2*(c*x^4+b*x^2+a)^(1/2)-3/32*g*a^2*b/c^(3/2)*ln((c*x^2+1/2*b)/c^(1/2)+(c*x^4+b*x^2+a)^(1/2))-3/32*e*a*b^2/c^(3/2)*ln((c*x^2+1/2*b)/c^(1/2)+(c*x^4+b*x^2+a)^(1/2))+1/35*d/c*x*(c*x^4+b*x^2+a)^(1/2)*b^2+1/105*f/c*x^3*(c*x^4+b*x^2+a)^(1/2)*b^2-4/315*f/c^2*x*(c*x^4+b*x^2+a)^(1/2)*b^3+1/64*e*b^2*x^2/c*(c*x^4+b*x^2+a)^(1/2)+5/32*e*a*b/c*(c*x^4+b*x^2+a)^(1/2)","B"
104,1,1585,475,0.014000," ","int((g*x^3+f*x^2+e*x+d)*(c*x^4+b*x^2+a)^(1/2),x)","\frac{\sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, a^{2} f \EllipticE \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)}{5 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(b +\sqrt{-4 a c +b^{2}}\right)}-\frac{\sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, a^{2} f \EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)}{5 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(b +\sqrt{-4 a c +b^{2}}\right)}-\frac{\sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, a \,b^{2} f \EllipticE \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)}{15 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(b +\sqrt{-4 a c +b^{2}}\right) c}+\frac{\sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, a \,b^{2} f \EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)}{15 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(b +\sqrt{-4 a c +b^{2}}\right) c}+\frac{\sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, a b d \EllipticE \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)}{6 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(b +\sqrt{-4 a c +b^{2}}\right)}-\frac{\sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, a b d \EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)}{6 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(b +\sqrt{-4 a c +b^{2}}\right)}+\frac{\sqrt{c \,x^{4}+b \,x^{2}+a}\, f \,x^{3}}{5}-\frac{\sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, a b f \EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)}{60 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}\, c}+\frac{\sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, a d \EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)}{6 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}}-\frac{\sqrt{c \,x^{4}+b \,x^{2}+a}\, b g \,x^{2}}{8 c}+\frac{\sqrt{c \,x^{4}+b \,x^{2}+a}\, e \,x^{2}}{4}-\frac{a b g \ln \left(\frac{c \,x^{2}+\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{4}+b \,x^{2}+a}\right)}{8 c^{\frac{3}{2}}}+\frac{a e \ln \left(\frac{c \,x^{2}+\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{4}+b \,x^{2}+a}\right)}{4 \sqrt{c}}+\frac{b^{3} g \ln \left(\frac{c \,x^{2}+\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{4}+b \,x^{2}+a}\right)}{32 c^{\frac{5}{2}}}-\frac{b^{2} e \ln \left(\frac{c \,x^{2}+\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{4}+b \,x^{2}+a}\right)}{16 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{4}+b \,x^{2}+a}\, b f x}{15 c}+\frac{\sqrt{c \,x^{4}+b \,x^{2}+a}\, d x}{3}-\frac{\sqrt{c \,x^{4}+b \,x^{2}+a}\, b^{2} g}{16 c^{2}}+\frac{\sqrt{c \,x^{4}+b \,x^{2}+a}\, b e}{8 c}+\frac{\left(c \,x^{4}+b \,x^{2}+a \right)^{\frac{3}{2}} g}{6 c}"," ",0,"1/6*g*(c*x^4+b*x^2+a)^(3/2)/c-1/8*g*b/c*x^2*(c*x^4+b*x^2+a)^(1/2)-1/16*g*b^2/c^2*(c*x^4+b*x^2+a)^(1/2)-1/8*g*b/c^(3/2)*ln((c*x^2+1/2*b)/c^(1/2)+(c*x^4+b*x^2+a)^(1/2))*a+1/32*g*b^3/c^(5/2)*ln((c*x^2+1/2*b)/c^(1/2)+(c*x^4+b*x^2+a)^(1/2))+1/5*f*x^3*(c*x^4+b*x^2+a)^(1/2)+1/15*f*b/c*x*(c*x^4+b*x^2+a)^(1/2)-1/60*f*b/c*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-1/5*f*a^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))+1/5*f*a^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*EllipticE(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))+1/15*f*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*b^2/c*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-1/15*f*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*b^2/c*EllipticE(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))+1/4*e*x^2*(c*x^4+b*x^2+a)^(1/2)+1/8*e/c*(c*x^4+b*x^2+a)^(1/2)*b+1/4*e/c^(1/2)*ln((c*x^2+1/2*b)/c^(1/2)+(c*x^4+b*x^2+a)^(1/2))*a-1/16*e/c^(3/2)*ln((c*x^2+1/2*b)/c^(1/2)+(c*x^4+b*x^2+a)^(1/2))*b^2+1/3*d*x*(c*x^4+b*x^2+a)^(1/2)+1/6*d*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-1/6*d*b*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))+1/6*d*b*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*EllipticE(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))","B"
105,1,453,345,0.011000," ","int((g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^(1/2),x)","-\frac{\sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \left(-\EllipticE \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)+\EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)\right) a f}{2 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(b +\sqrt{-4 a c +b^{2}}\right)}+\frac{\sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, d \EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)}{4 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}}-\frac{b g \ln \left(\frac{c \,x^{2}+\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{4}+b \,x^{2}+a}\right)}{4 c^{\frac{3}{2}}}+\frac{e \ln \left(\frac{c \,x^{2}+\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{4}+b \,x^{2}+a}\right)}{2 \sqrt{c}}+\frac{\sqrt{c \,x^{4}+b \,x^{2}+a}\, g}{2 c}"," ",0,"1/2*g*(c*x^4+b*x^2+a)^(1/2)/c-1/4*g*b/c^(3/2)*ln((c*x^2+1/2*b)/c^(1/2)+(c*x^4+b*x^2+a)^(1/2))-1/2*f*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*(EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-EllipticE(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2)))+1/2*e*ln((c*x^2+1/2*b)/c^(1/2)+(c*x^4+b*x^2+a)^(1/2))/c^(1/2)+1/4*d*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))","A"
106,1,1005,440,0.026000," ","int((g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^(3/2),x)","\left(-\frac{\sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \left(-\EllipticE \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)+\EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)\right) b c}{2 \left(4 a c -b^{2}\right) \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(b +\sqrt{-4 a c +b^{2}}\right)}-\frac{2 \left(\frac{b \,x^{3}}{2 \left(4 a c -b^{2}\right) a}-\frac{\left(2 a c -b^{2}\right) x}{2 \left(4 a c -b^{2}\right) a c}\right) c}{\sqrt{\left(x^{4}+\frac{b \,x^{2}}{c}+\frac{a}{c}\right) c}}+\frac{\left(\frac{1}{a}-\frac{2 a c -b^{2}}{\left(4 a c -b^{2}\right) a}\right) \sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)}{4 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}}\right) d +\frac{\left(2 c \,x^{2}+b \right) e}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{4}+b \,x^{2}+a}}+\left(\frac{\sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \left(-\EllipticE \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)+\EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)\right) a c}{\left(4 a c -b^{2}\right) \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(b +\sqrt{-4 a c +b^{2}}\right)}-\frac{\sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, b \EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)}{4 \left(4 a c -b^{2}\right) \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}}-\frac{2 \left(-\frac{x^{3}}{4 a c -b^{2}}-\frac{b x}{2 \left(4 a c -b^{2}\right) c}\right) c}{\sqrt{\left(x^{4}+\frac{b \,x^{2}}{c}+\frac{a}{c}\right) c}}\right) f -\frac{\left(b \,x^{2}+2 a \right) g}{\sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(4 a c -b^{2}\right)}"," ",0,"-g/(c*x^4+b*x^2+a)^(1/2)*(b*x^2+2*a)/(4*a*c-b^2)+f*(-2*c*(-1/(4*a*c-b^2)*x^3-1/2/(4*a*c-b^2)*b/c*x)/((x^4+b/c*x^2+a/c)*c)^(1/2)-1/4/(4*a*c-b^2)*b*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))+c/(4*a*c-b^2)*a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*(EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-EllipticE(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))))+e*(2*c*x^2+b)/(4*a*c-b^2)/(c*x^4+b*x^2+a)^(1/2)+d*(-2*c*(1/2/a*b/(4*a*c-b^2)*x^3-1/2*(2*a*c-b^2)/a/(4*a*c-b^2)/c*x)/((x^4+b/c*x^2+a/c)*c)^(1/2)+1/4*(1/a-(2*a*c-b^2)/a/(4*a*c-b^2))*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-1/2*b/(4*a*c-b^2)*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*(EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-EllipticE(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))))","B"
107,1,1395,654,0.057000," ","int((g*x^3+f*x^2+e*x+d)/(c*x^4+b*x^2+a)^(5/2),x)","\left(-\frac{\left(8 a c -b^{2}\right) \sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \left(-\EllipticE \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)+\EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)\right) b c}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(b +\sqrt{-4 a c +b^{2}}\right) a}-\frac{2 \left(\frac{\left(8 a c -b^{2}\right) b \,x^{3}}{3 \left(4 a c -b^{2}\right)^{2} a^{2}}-\frac{\left(20 a^{2} c^{2}-17 a \,b^{2} c +2 b^{4}\right) x}{6 \left(4 a c -b^{2}\right)^{2} a^{2} c}\right) c}{\sqrt{\left(x^{4}+\frac{b \,x^{2}}{c}+\frac{a}{c}\right) c}}+\frac{\left(\frac{\frac{10 a c}{3}-\frac{2 b^{2}}{3}}{a^{2} \left(4 a c -b^{2}\right)}-\frac{20 a^{2} c^{2}-17 a \,b^{2} c +2 b^{4}}{3 \left(4 a c -b^{2}\right)^{2} a^{2}}\right) \sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)}{4 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}}+\frac{\left(-\frac{b \,x^{3}}{3 \left(4 a c -b^{2}\right) a c}+\frac{\left(2 a c -b^{2}\right) x}{3 \left(4 a c -b^{2}\right) a \,c^{2}}\right) \sqrt{c \,x^{4}+b \,x^{2}+a}}{\left(x^{4}+\frac{b \,x^{2}}{c}+\frac{a}{c}\right)^{2}}\right) d +\frac{\left(16 c^{3} x^{6}+24 b \,c^{2} x^{4}+24 a \,c^{2} x^{2}+6 b^{2} c \,x^{2}+12 a b c -b^{3}\right) e}{3 \left(c \,x^{4}+b \,x^{2}+a \right)^{\frac{3}{2}} \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}+\left(-\frac{2 \left(-\frac{\left(12 a c +b^{2}\right) x^{3}}{6 \left(4 a c -b^{2}\right)^{2} a}-\frac{\left(4 a c +b^{2}\right) b x}{6 \left(4 a c -b^{2}\right)^{2} a c}\right) c}{\sqrt{\left(x^{4}+\frac{b \,x^{2}}{c}+\frac{a}{c}\right) c}}+\frac{\left(12 a c +b^{2}\right) \sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \left(-\EllipticE \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)+\EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)\right) c}{6 \left(4 a c -b^{2}\right)^{2} \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(b +\sqrt{-4 a c +b^{2}}\right)}+\frac{\left(-\frac{b}{3 \left(4 a c -b^{2}\right) a}-\frac{\left(4 a c +b^{2}\right) b}{3 \left(4 a c -b^{2}\right)^{2} a}\right) \sqrt{2}\, \sqrt{-\frac{2 \left(-b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) x^{2}}{a}+4}\, \EllipticF \left(\frac{\sqrt{2}\, \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, x}{2}, \frac{\sqrt{\frac{2 \left(b +\sqrt{-4 a c +b^{2}}\right) b}{a c}-4}}{2}\right)}{4 \sqrt{\frac{-b +\sqrt{-4 a c +b^{2}}}{a}}\, \sqrt{c \,x^{4}+b \,x^{2}+a}}+\frac{\left(\frac{2 x^{3}}{3 \left(4 a c -b^{2}\right) c}+\frac{b x}{3 \left(4 a c -b^{2}\right) c^{2}}\right) \sqrt{c \,x^{4}+b \,x^{2}+a}}{\left(x^{4}+\frac{b \,x^{2}}{c}+\frac{a}{c}\right)^{2}}\right) f -\frac{\left(8 b \,c^{2} x^{6}+12 b^{2} c \,x^{4}+12 a b c \,x^{2}+3 b^{3} x^{2}+8 a^{2} c +2 a \,b^{2}\right) g}{3 \left(c \,x^{4}+b \,x^{2}+a \right)^{\frac{3}{2}} \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}"," ",0,"-1/3*g*(8*b*c^2*x^6+12*b^2*c*x^4+12*a*b*c*x^2+3*b^3*x^2+8*a^2*c+2*a*b^2)/(c*x^4+b*x^2+a)^(3/2)/(16*a^2*c^2-8*a*b^2*c+b^4)+f*((2/3/c/(4*a*c-b^2)*x^3+1/3*b/(4*a*c-b^2)/c^2*x)*(c*x^4+b*x^2+a)^(1/2)/(x^4+b/c*x^2+a/c)^2-2*c*(-1/6*(12*a*c+b^2)/a/(4*a*c-b^2)^2*x^3-1/6*(4*a*c+b^2)*b/a/(4*a*c-b^2)^2/c*x)/((x^4+b/c*x^2+a/c)*c)^(1/2)+1/4*(-1/3/a*b/(4*a*c-b^2)-1/3*(4*a*c+b^2)*b/a/(4*a*c-b^2)^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))+1/6*c*(12*a*c+b^2)/(4*a*c-b^2)^2*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*(EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-EllipticE(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))))+1/3*e*(16*c^3*x^6+24*b*c^2*x^4+24*a*c^2*x^2+6*b^2*c*x^2+12*a*b*c-b^3)/(c*x^4+b*x^2+a)^(3/2)/(16*a^2*c^2-8*a*b^2*c+b^4)+d*((-1/3/a*b/(4*a*c-b^2)/c*x^3+1/3*(2*a*c-b^2)/(4*a*c-b^2)/a/c^2*x)*(c*x^4+b*x^2+a)^(1/2)/(x^4+b/c*x^2+a/c)^2-2*c*(1/3*b*(8*a*c-b^2)/(4*a*c-b^2)^2/a^2*x^3-1/6*(20*a^2*c^2-17*a*b^2*c+2*b^4)/a^2/(4*a*c-b^2)^2/c*x)/((x^4+b/c*x^2+a/c)*c)^(1/2)+1/4*(2/3*(5*a*c-b^2)/a^2/(4*a*c-b^2)-1/3*(20*a^2*c^2-17*a*b^2*c+2*b^4)/a^2/(4*a*c-b^2)^2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)*EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-1/3*b*c*(8*a*c-b^2)/(4*a*c-b^2)^2/a*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*(-2*(-b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)*(2*(b+(-4*a*c+b^2)^(1/2))/a*x^2+4)^(1/2)/(c*x^4+b*x^2+a)^(1/2)/(b+(-4*a*c+b^2)^(1/2))*(EllipticF(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))-EllipticE(1/2*2^(1/2)*((-b+(-4*a*c+b^2)^(1/2))/a)^(1/2)*x,1/2*(2*(b+(-4*a*c+b^2)^(1/2))/a*b/c-4)^(1/2))))","B"
108,1,18,17,0.005000," ","int((-c*g*x^4+a*g)/(c*x^4+b*x^2+a)^(3/2),x)","\frac{g x}{\sqrt{c \,x^{4}+b \,x^{2}+a}}"," ",0,"g*x/(c*x^4+b*x^2+a)^(1/2)","A"
109,1,52,53,0.005000," ","int((-c*g*x^4+a*g+e*x)/(c*x^4+b*x^2+a)^(3/2),x)","\frac{4 a c g x -b^{2} g x +2 c e \,x^{2}+b e}{\sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(4 a c -b^{2}\right)}"," ",0,"(4*a*c*g*x-b^2*g*x+2*c*e*x^2+b*e)/(c*x^4+b*x^2+a)^(1/2)/(4*a*c-b^2)","A"
110,1,53,53,0.005000," ","int((-c*g*x^4+f*x^3+a*g)/(c*x^4+b*x^2+a)^(3/2),x)","\frac{4 a c g x -b^{2} g x -b f \,x^{2}-2 a f}{\sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(4 a c -b^{2}\right)}"," ",0,"(4*a*c*g*x-b^2*g*x-b*f*x^2-2*a*f)/(c*x^4+b*x^2+a)^(1/2)/(4*a*c-b^2)","A"
111,1,63,66,0.005000," ","int((-c*g*x^4+f*x^3+a*g+e*x)/(c*x^4+b*x^2+a)^(3/2),x)","\frac{4 a c g x -b^{2} g x -b f \,x^{2}+2 c e \,x^{2}-2 a f +b e}{\sqrt{c \,x^{4}+b \,x^{2}+a}\, \left(4 a c -b^{2}\right)}"," ",0,"(4*a*c*g*x-b^2*g*x-b*f*x^2+2*c*e*x^2-2*a*f+b*e)/(c*x^4+b*x^2+a)^(1/2)/(4*a*c-b^2)","A"