1,1,43,55,0.054000," ","int(1/(-9*b*x+9*x^3+2*b^(3/2)*3^(1/2)),x)","\frac{\ln \left(-\RootOf \left(9 \textit{\_Z}^{3}-9 \textit{\_Z} b +2 \sqrt{3}\, b^{\frac{3}{2}}\right)+x \right)}{27 \RootOf \left(9 \textit{\_Z}^{3}-9 \textit{\_Z} b +2 \sqrt{3}\, b^{\frac{3}{2}}\right)^{2}-9 b}"," ",0,"1/9*sum(1/(3*_R^2-b)*ln(x-_R),_R=RootOf(-9*b*_Z+9*_Z^3+2*b^(3/2)*3^(1/2)))","C"
2,1,46,30,0.012000," ","int((b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^p,x)","\frac{\left(b x +a \right) \left(b^{3} x^{3}+3 a \,b^{2} x^{2}+3 a^{2} b x +a^{3}\right)^{p}}{\left(3 p +1\right) b}"," ",0,"(b*x+a)/b/(1+3*p)*(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^p","A"
3,1,98,12,0.003000," ","int((b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^3,x)","\frac{1}{10} b^{9} x^{10}+a \,b^{8} x^{9}+\frac{9}{2} a^{2} b^{7} x^{8}+12 a^{3} b^{6} x^{7}+21 a^{4} b^{5} x^{6}+\frac{126}{5} a^{5} b^{4} x^{5}+21 a^{6} b^{3} x^{4}+12 a^{7} b^{2} x^{3}+\frac{9}{2} a^{8} b \,x^{2}+a^{9} x"," ",0,"1/10*b^9*x^10+a*b^8*x^9+9/2*a^2*b^7*x^8+12*a^3*b^6*x^7+21*a^4*b^5*x^6+126/5*a^5*b^4*x^5+21*a^6*b^3*x^4+12*a^7*b^2*x^3+9/2*a^8*b*x^2+a^9*x","B"
4,1,65,12,0.001000," ","int((b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^2,x)","\frac{1}{7} b^{6} x^{7}+a \,b^{5} x^{6}+3 a^{2} b^{4} x^{5}+5 a^{3} b^{3} x^{4}+5 a^{4} b^{2} x^{3}+3 a^{5} b \,x^{2}+a^{6} x"," ",0,"1/7*b^6*x^7+a*b^5*x^6+3*a^2*b^4*x^5+5*a^3*b^3*x^4+5*a^4*b^2*x^3+3*a^5*b*x^2+a^6*x","B"
5,1,32,31,0.001000," ","int(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3,x)","\frac{1}{4} b^{3} x^{4}+a \,b^{2} x^{3}+\frac{3}{2} a^{2} b \,x^{2}+a^{3} x"," ",0,"a^3*x+3/2*a^2*b*x^2+a*b^2*x^3+1/4*b^3*x^4","A"
6,1,13,12,0.023000," ","int(1/(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3),x)","-\frac{1}{2 \left(b x +a \right)^{2} b}"," ",0,"-1/2/b/(b*x+a)^2","A"
7,1,13,12,0.003000," ","int(1/(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^2,x)","-\frac{1}{5 \left(b x +a \right)^{5} b}"," ",0,"-1/5/b/(b*x+a)^5","A"
8,1,13,12,0.005000," ","int(1/(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^3,x)","-\frac{1}{8 \left(b x +a \right)^{8} b}"," ",0,"-1/8/b/(b*x+a)^8","A"
9,1,295,78,0.002000," ","int((c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)^3,x)","\frac{c^{6} x^{10}}{10}+b \,c^{5} x^{9}+\frac{9 b^{2} c^{4} x^{8}}{2}+\frac{81 a^{2} b^{4} x^{2}}{2}+27 a^{3} b^{3} x +\frac{\left(3 a b \,c^{4}+63 b^{3} c^{3}+\left(6 a b \,c^{2}+18 b^{3} c \right) c^{2}\right) x^{7}}{7}+\frac{\left(18 a \,b^{2} c^{3}+45 b^{4} c^{2}+3 \left(6 a b \,c^{2}+18 b^{3} c \right) b c +\left(18 a \,b^{2} c +9 b^{4}\right) c^{2}\right) x^{6}}{6}+\frac{\left(63 a \,b^{3} c^{2}+3 \left(6 a b \,c^{2}+18 b^{3} c \right) b^{2}+3 \left(18 a \,b^{2} c +9 b^{4}\right) b c \right) x^{5}}{5}+\frac{\left(9 a^{2} b^{2} c^{2}+54 a \,b^{4} c +3 \left(6 a b \,c^{2}+18 b^{3} c \right) a b +3 \left(18 a \,b^{2} c +9 b^{4}\right) b^{2}\right) x^{4}}{4}+\frac{\left(27 a^{2} b^{3} c +54 a \,b^{5}+3 \left(18 a \,b^{2} c +9 b^{4}\right) a b \right) x^{3}}{3}"," ",0,"1/10*c^6*x^10+b*c^5*x^9+9/2*b^2*c^4*x^8+1/7*(3*a*b*c^4+63*b^3*c^3+c^2*(6*a*b*c^2+18*b^3*c))*x^7+1/6*(18*a*b^2*c^3+45*b^4*c^2+3*b*c*(6*a*b*c^2+18*b^3*c)+c^2*(18*a*b^2*c+9*b^4))*x^6+1/5*(63*a*b^3*c^2+3*b^2*(6*a*b*c^2+18*b^3*c)+3*b*c*(18*a*b^2*c+9*b^4))*x^5+1/4*(3*a*b*(6*a*b*c^2+18*b^3*c)+3*b^2*(18*a*b^2*c+9*b^4)+54*b^4*c*a+9*c^2*a^2*b^2)*x^4+1/3*(3*a*b*(18*a*b^2*c+9*b^4)+54*b^5*a+27*b^3*c*a^2)*x^3+81/2*a^2*b^4*x^2+27*a^3*b^3*x","B"
10,1,84,52,0.002000," ","int((c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)^2,x)","\frac{c^{4} x^{7}}{7}+b \,c^{3} x^{6}+3 b^{2} c^{2} x^{5}+9 a \,b^{3} x^{2}+9 a^{2} b^{2} x +\frac{\left(6 a b \,c^{2}+18 b^{3} c \right) x^{4}}{4}+\frac{\left(18 a \,b^{2} c +9 b^{4}\right) x^{3}}{3}"," ",0,"1/7*c^4*x^7+b*c^3*x^6+3*b^2*c^2*x^5+1/4*(6*a*b*c^2+18*b^3*c)*x^4+1/3*(18*a*b^2*c+9*b^4)*x^3+9*a*b^3*x^2+9*a^2*b^2*x","A"
11,1,29,28,0.001000," ","int(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b,x)","\frac{1}{4} c^{2} x^{4}+b c \,x^{3}+\frac{3}{2} b^{2} x^{2}+3 a b x"," ",0,"3*a*b*x+3/2*b^2*x^2+b*c*x^3+1/4*c^2*x^4","A"
12,1,57,151,0.005000," ","int(1/(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b),x)","\frac{\ln \left(-\RootOf \left(c^{2} \textit{\_Z}^{3}+3 b c \,\textit{\_Z}^{2}+3 b^{2} \textit{\_Z} +3 a b \right)+x \right)}{3 \RootOf \left(c^{2} \textit{\_Z}^{3}+3 b c \,\textit{\_Z}^{2}+3 b^{2} \textit{\_Z} +3 a b \right)^{2} c^{2}+6 \RootOf \left(c^{2} \textit{\_Z}^{3}+3 b c \,\textit{\_Z}^{2}+3 b^{2} \textit{\_Z} +3 a b \right) b c +3 b^{2}}"," ",0,"1/3*sum(1/(_R^2*c^2+2*_R*b*c+b^2)*ln(-_R+x),_R=RootOf(_Z^3*c^2+3*_Z^2*b*c+3*_Z*b^2+3*a*b))","C"
13,1,136,204,0.020000," ","int(1/(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)^2,x)","\frac{2 c \ln \left(-\RootOf \left(c^{2} \textit{\_Z}^{3}+3 b c \,\textit{\_Z}^{2}+3 b^{2} \textit{\_Z} +3 a b \right)+x \right)}{9 \left(3 a c -b^{2}\right) b \left(\RootOf \left(c^{2} \textit{\_Z}^{3}+3 b c \,\textit{\_Z}^{2}+3 b^{2} \textit{\_Z} +3 a b \right)^{2} c^{2}+2 \RootOf \left(c^{2} \textit{\_Z}^{3}+3 b c \,\textit{\_Z}^{2}+3 b^{2} \textit{\_Z} +3 a b \right) b c +b^{2}\right)}+\frac{\frac{c x}{3 \left(3 a c -b^{2}\right) b}+\frac{1}{9 a c -3 b^{2}}}{c^{2} x^{3}+3 b c \,x^{2}+3 b^{2} x +3 a b}"," ",0,"(1/3*c/b/(3*a*c-b^2)*x+1/3/(3*a*c-b^2))/(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)+2/9*c/b/(3*a*c-b^2)*sum(1/(_R^2*c^2+2*_R*b*c+b^2)*ln(-_R+x),_R=RootOf(_Z^3*c^2+3*_Z^2*b*c+3*_Z*b^2+3*a*b))","C"
14,1,276,262,0.018000," ","int(1/(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)^3,x)","\frac{5 c^{2} \ln \left(-\RootOf \left(c^{2} \textit{\_Z}^{3}+3 b c \,\textit{\_Z}^{2}+3 b^{2} \textit{\_Z} +3 a b \right)+x \right)}{27 \left(9 a^{2} c^{2}-6 a \,b^{2} c +b^{4}\right) b^{2} \left(\RootOf \left(c^{2} \textit{\_Z}^{3}+3 b c \,\textit{\_Z}^{2}+3 b^{2} \textit{\_Z} +3 a b \right)^{2} c^{2}+2 \RootOf \left(c^{2} \textit{\_Z}^{3}+3 b c \,\textit{\_Z}^{2}+3 b^{2} \textit{\_Z} +3 a b \right) b c +b^{2}\right)}+\frac{\frac{5 c^{4} x^{4}}{18 \left(9 a^{2} c^{2}-6 a \,b^{2} c +b^{4}\right) b^{2}}+\frac{10 c^{3} x^{3}}{9 \left(9 a^{2} c^{2}-6 a \,b^{2} c +b^{4}\right) b}+\frac{5 c^{2} x^{2}}{3 \left(9 a^{2} c^{2}-6 a \,b^{2} c +b^{4}\right)}+\frac{2 \left(2 a c +b^{2}\right) c x}{3 \left(9 a^{2} c^{2}-6 a \,b^{2} c +b^{4}\right) b}+\frac{8 a c -b^{2}}{54 a^{2} c^{2}-36 a \,b^{2} c +6 b^{4}}}{\left(c^{2} x^{3}+3 b c \,x^{2}+3 b^{2} x +3 a b \right)^{2}}"," ",0,"(5/18*c^4/b^2/(9*a^2*c^2-6*a*b^2*c+b^4)*x^4+10/9/b*c^3/(9*a^2*c^2-6*a*b^2*c+b^4)*x^3+5/3*c^2/(9*a^2*c^2-6*a*b^2*c+b^4)*x^2+2/3/b*(2*a*c+b^2)*c/(9*a^2*c^2-6*a*b^2*c+b^4)*x+1/6*(8*a*c-b^2)/(9*a^2*c^2-6*a*b^2*c+b^4))/(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)^2+5/27*c^2/b^2/(9*a^2*c^2-6*a*b^2*c+b^4)*sum(1/(_R^2*c^2+2*_R*b*c+b^2)*ln(-_R+x),_R=RootOf(_Z^3*c^2+3*_Z^2*b*c+3*_Z*b^2+3*a*b))","C"
15,1,861,347,0.002000," ","int((a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x^2+b*d*f*x^3)^3,x)","\frac{b^{3} d^{3} f^{3} x^{10}}{10}+\frac{\left(a d f +b c f +b d e \right) b^{2} d^{2} f^{2} x^{9}}{3}+a^{3} c^{3} e^{3} x +\frac{3 \left(a c f +a d e +b c e \right) a^{2} c^{2} e^{2} x^{2}}{2}+\frac{\left(\left(a c f +a d e +b c e \right) b^{2} d^{2} f^{2}+2 \left(a d f +b c f +b d e \right)^{2} b d f +\left(2 \left(a c f +a d e +b c e \right) b d f +\left(a d f +b c f +b d e \right)^{2}\right) b d f \right) x^{8}}{8}+\frac{\left(a \,b^{2} c \,d^{2} e \,f^{2}+2 \left(a c f +a d e +b c e \right) \left(a d f +b c f +b d e \right) b d f +\left(2 a b c d e f +2 \left(a c f +a d e +b c e \right) \left(a d f +b c f +b d e \right)\right) b d f +\left(a d f +b c f +b d e \right) \left(2 \left(a c f +a d e +b c e \right) b d f +\left(a d f +b c f +b d e \right)^{2}\right)\right) x^{7}}{7}+\frac{\left(2 \left(a d f +b c f +b d e \right) a b c d e f +\left(2 \left(a d f +b c f +b d e \right) a c e +\left(a c f +a d e +b c e \right)^{2}\right) b d f +\left(a c f +a d e +b c e \right) \left(2 \left(a c f +a d e +b c e \right) b d f +\left(a d f +b c f +b d e \right)^{2}\right)+\left(a d f +b c f +b d e \right) \left(2 a b c d e f +2 \left(a c f +a d e +b c e \right) \left(a d f +b c f +b d e \right)\right)\right) x^{6}}{6}+\frac{\left(2 \left(a c f +a d e +b c e \right) a b c d e f +\left(2 \left(a c f +a d e +b c e \right) b d f +\left(a d f +b c f +b d e \right)^{2}\right) a c e +\left(a c f +a d e +b c e \right) \left(2 a b c d e f +2 \left(a c f +a d e +b c e \right) \left(a d f +b c f +b d e \right)\right)+\left(a d f +b c f +b d e \right) \left(2 \left(a d f +b c f +b d e \right) a c e +\left(a c f +a d e +b c e \right)^{2}\right)\right) x^{5}}{5}+\frac{\left(a^{2} b \,c^{2} d \,e^{2} f +\left(2 a b c d e f +2 \left(a c f +a d e +b c e \right) \left(a d f +b c f +b d e \right)\right) a c e +2 \left(a d f +b c f +b d e \right) \left(a c f +a d e +b c e \right) a c e +\left(a c f +a d e +b c e \right) \left(2 \left(a d f +b c f +b d e \right) a c e +\left(a c f +a d e +b c e \right)^{2}\right)\right) x^{4}}{4}+\frac{\left(\left(a d f +b c f +b d e \right) a^{2} c^{2} e^{2}+\left(2 \left(a d f +b c f +b d e \right) a c e +\left(a c f +a d e +b c e \right)^{2}\right) a c e +2 \left(a c f +a d e +b c e \right)^{2} a c e \right) x^{3}}{3}"," ",0,"1/10*b^3*d^3*f^3*x^10+1/3*(a*d*f+b*c*f+b*d*e)*b^2*d^2*f^2*x^9+1/8*((a*c*f+a*d*e+b*c*e)*b^2*d^2*f^2+2*(a*d*f+b*c*f+b*d*e)^2*b*d*f+b*d*f*(2*(a*c*f+a*d*e+b*c*e)*b*d*f+(a*d*f+b*c*f+b*d*e)^2))*x^8+1/7*(a*c*e*b^2*d^2*f^2+2*(a*c*f+a*d*e+b*c*e)*(a*d*f+b*c*f+b*d*e)*b*d*f+(a*d*f+b*c*f+b*d*e)*(2*(a*c*f+a*d*e+b*c*e)*b*d*f+(a*d*f+b*c*f+b*d*e)^2)+b*d*f*(2*a*c*e*b*d*f+2*(a*c*f+a*d*e+b*c*e)*(a*d*f+b*c*f+b*d*e)))*x^7+1/6*(2*a*c*e*(a*d*f+b*c*f+b*d*e)*b*d*f+(a*c*f+a*d*e+b*c*e)*(2*(a*c*f+a*d*e+b*c*e)*b*d*f+(a*d*f+b*c*f+b*d*e)^2)+(a*d*f+b*c*f+b*d*e)*(2*a*c*e*b*d*f+2*(a*c*f+a*d*e+b*c*e)*(a*d*f+b*c*f+b*d*e))+b*d*f*(2*a*c*e*(a*d*f+b*c*f+b*d*e)+(a*c*f+a*d*e+b*c*e)^2))*x^6+1/5*(a*c*e*(2*(a*c*f+a*d*e+b*c*e)*b*d*f+(a*d*f+b*c*f+b*d*e)^2)+(a*c*f+a*d*e+b*c*e)*(2*a*c*e*b*d*f+2*(a*c*f+a*d*e+b*c*e)*(a*d*f+b*c*f+b*d*e))+(a*d*f+b*c*f+b*d*e)*(2*a*c*e*(a*d*f+b*c*f+b*d*e)+(a*c*f+a*d*e+b*c*e)^2)+2*b*d*f*a*c*e*(a*c*f+a*d*e+b*c*e))*x^5+1/4*(a*c*e*(2*a*c*e*b*d*f+2*(a*c*f+a*d*e+b*c*e)*(a*d*f+b*c*f+b*d*e))+(a*c*f+a*d*e+b*c*e)*(2*a*c*e*(a*d*f+b*c*f+b*d*e)+(a*c*f+a*d*e+b*c*e)^2)+2*(a*d*f+b*c*f+b*d*e)*a*c*e*(a*c*f+a*d*e+b*c*e)+b*d*f*a^2*c^2*e^2)*x^4+1/3*(a*c*e*(2*a*c*e*(a*d*f+b*c*f+b*d*e)+(a*c*f+a*d*e+b*c*e)^2)+2*(a*c*f+a*d*e+b*c*e)^2*a*c*e+(a*d*f+b*c*f+b*d*e)*a^2*c^2*e^2)*x^3+3/2*a^2*c^2*e^2*(a*c*f+a*d*e+b*c*e)*x^2+a^3*c^3*e^3*x","B"
16,1,188,183,0.002000," ","int((a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x^2+b*d*f*x^3)^2,x)","\frac{b^{2} d^{2} f^{2} x^{7}}{7}+\frac{\left(a d f +b c f +b d e \right) b d f \,x^{6}}{3}+a^{2} c^{2} e^{2} x +\left(a c f +a d e +b c e \right) a c e \,x^{2}+\frac{\left(2 \left(a c f +a d e +b c e \right) b d f +\left(a d f +b c f +b d e \right)^{2}\right) x^{5}}{5}+\frac{\left(2 a b c d e f +2 \left(a c f +a d e +b c e \right) \left(a d f +b c f +b d e \right)\right) x^{4}}{4}+\frac{\left(2 \left(a d f +b c f +b d e \right) a c e +\left(a c f +a d e +b c e \right)^{2}\right) x^{3}}{3}"," ",0,"1/7*b^2*d^2*f^2*x^7+1/3*(a*d*f+b*c*f+b*d*e)*b*d*f*x^6+1/5*(2*(a*c*f+a*d*e+b*c*e)*b*d*f+(a*d*f+b*c*f+b*d*e)^2)*x^5+1/4*(2*a*b*c*d*e*f+2*(a*c*f+a*d*e+b*c*e)*(a*d*f+b*c*f+b*d*e))*x^4+1/3*(2*(a*d*f+b*c*f+b*d*e)*a*c*e+(a*c*f+a*d*e+b*c*e)^2)*x^3+a*c*e*(a*c*f+a*d*e+b*c*e)*x^2+a^2*c^2*e^2*x","A"
17,1,51,50,0.000000," ","int(a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x^2+b*d*f*x^3,x)","\frac{b d f \,x^{4}}{4}+a c e x +\frac{\left(a d f +b c f +b d e \right) x^{3}}{3}+\frac{\left(a c f +a d e +b c e \right) x^{2}}{2}"," ",0,"a*c*e*x+1/2*(a*c*f+a*d*e+b*c*e)*x^2+1/3*(a*d*f+b*c*f+b*d*e)*x^3+1/4*b*d*f*x^4","A"
18,1,87,86,0.011000," ","int(1/(a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x^2+b*d*f*x^3),x)","\frac{b \ln \left(b x +a \right)}{\left(a f -b e \right) \left(a d -b c \right)}-\frac{d \ln \left(d x +c \right)}{\left(c f -d e \right) \left(a d -b c \right)}+\frac{f \ln \left(f x +e \right)}{\left(c f -d e \right) \left(a f -b e \right)}"," ",0,"f/(c*f-d*e)/(a*f-b*e)*ln(f*x+e)-d/(c*f-d*e)/(a*d-b*c)*ln(d*x+c)+b/(a*f-b*e)/(a*d-b*c)*ln(b*x+a)","A"
19,1,398,234,0.026000," ","int(1/(a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x^2+b*d*f*x^3)^2,x)","\frac{4 a \,b^{3} d f \ln \left(b x +a \right)}{\left(a f -b e \right)^{3} \left(a d -b c \right)^{3}}+\frac{2 a \,d^{4} f \ln \left(d x +c \right)}{\left(c f -d e \right)^{3} \left(a d -b c \right)^{3}}-\frac{2 a d \,f^{4} \ln \left(f x +e \right)}{\left(c f -d e \right)^{3} \left(a f -b e \right)^{3}}-\frac{2 b^{4} c f \ln \left(b x +a \right)}{\left(a f -b e \right)^{3} \left(a d -b c \right)^{3}}-\frac{2 b^{4} d e \ln \left(b x +a \right)}{\left(a f -b e \right)^{3} \left(a d -b c \right)^{3}}-\frac{4 b c \,d^{3} f \ln \left(d x +c \right)}{\left(c f -d e \right)^{3} \left(a d -b c \right)^{3}}-\frac{2 b c \,f^{4} \ln \left(f x +e \right)}{\left(c f -d e \right)^{3} \left(a f -b e \right)^{3}}+\frac{2 b \,d^{4} e \ln \left(d x +c \right)}{\left(c f -d e \right)^{3} \left(a d -b c \right)^{3}}+\frac{4 b d e \,f^{3} \ln \left(f x +e \right)}{\left(c f -d e \right)^{3} \left(a f -b e \right)^{3}}-\frac{b^{3}}{\left(a f -b e \right)^{2} \left(a d -b c \right)^{2} \left(b x +a \right)}-\frac{d^{3}}{\left(c f -d e \right)^{2} \left(a d -b c \right)^{2} \left(d x +c \right)}-\frac{f^{3}}{\left(c f -d e \right)^{2} \left(a f -b e \right)^{2} \left(f x +e \right)}"," ",0,"-f^3/(c*f-d*e)^2/(a*f-b*e)^2/(f*x+e)-2*f^4/(c*f-d*e)^3/(a*f-b*e)^3*ln(f*x+e)*a*d-2*f^4/(c*f-d*e)^3/(a*f-b*e)^3*ln(f*x+e)*b*c+4*f^3/(c*f-d*e)^3/(a*f-b*e)^3*ln(f*x+e)*b*d*e-d^3/(c*f-d*e)^2/(a*d-b*c)^2/(d*x+c)+2*d^4/(c*f-d*e)^3/(a*d-b*c)^3*ln(d*x+c)*a*f-4*d^3/(c*f-d*e)^3/(a*d-b*c)^3*ln(d*x+c)*b*c*f+2*d^4/(c*f-d*e)^3/(a*d-b*c)^3*ln(d*x+c)*b*e-b^3/(a*f-b*e)^2/(a*d-b*c)^2/(b*x+a)+4*b^3/(a*f-b*e)^3/(a*d-b*c)^3*ln(b*x+a)*a*d*f-2*b^4/(a*f-b*e)^3/(a*d-b*c)^3*ln(b*x+a)*c*f-2*b^4/(a*f-b*e)^3/(a*d-b*c)^3*ln(b*x+a)*d*e","A"
20,1,1076,489,0.034000," ","int(1/(a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x^2+b*d*f*x^3)^3,x)","\frac{21 a^{2} b^{5} d^{2} f^{2} \ln \left(b x +a \right)}{\left(a f -b e \right)^{5} \left(a d -b c \right)^{5}}-\frac{6 a^{2} d^{7} f^{2} \ln \left(d x +c \right)}{\left(c f -d e \right)^{5} \left(a d -b c \right)^{5}}+\frac{6 a^{2} d^{2} f^{7} \ln \left(f x +e \right)}{\left(c f -d e \right)^{5} \left(a f -b e \right)^{5}}-\frac{21 a \,b^{6} c d \,f^{2} \ln \left(b x +a \right)}{\left(a f -b e \right)^{5} \left(a d -b c \right)^{5}}-\frac{21 a \,b^{6} d^{2} e f \ln \left(b x +a \right)}{\left(a f -b e \right)^{5} \left(a d -b c \right)^{5}}+\frac{21 a b c \,d^{6} f^{2} \ln \left(d x +c \right)}{\left(c f -d e \right)^{5} \left(a d -b c \right)^{5}}+\frac{9 a b c d \,f^{7} \ln \left(f x +e \right)}{\left(c f -d e \right)^{5} \left(a f -b e \right)^{5}}-\frac{9 a b \,d^{7} e f \ln \left(d x +c \right)}{\left(c f -d e \right)^{5} \left(a d -b c \right)^{5}}-\frac{21 a b \,d^{2} e \,f^{6} \ln \left(f x +e \right)}{\left(c f -d e \right)^{5} \left(a f -b e \right)^{5}}+\frac{6 b^{7} c^{2} f^{2} \ln \left(b x +a \right)}{\left(a f -b e \right)^{5} \left(a d -b c \right)^{5}}+\frac{9 b^{7} c d e f \ln \left(b x +a \right)}{\left(a f -b e \right)^{5} \left(a d -b c \right)^{5}}+\frac{6 b^{7} d^{2} e^{2} \ln \left(b x +a \right)}{\left(a f -b e \right)^{5} \left(a d -b c \right)^{5}}-\frac{21 b^{2} c^{2} d^{5} f^{2} \ln \left(d x +c \right)}{\left(c f -d e \right)^{5} \left(a d -b c \right)^{5}}+\frac{6 b^{2} c^{2} f^{7} \ln \left(f x +e \right)}{\left(c f -d e \right)^{5} \left(a f -b e \right)^{5}}+\frac{21 b^{2} c \,d^{6} e f \ln \left(d x +c \right)}{\left(c f -d e \right)^{5} \left(a d -b c \right)^{5}}-\frac{21 b^{2} c d e \,f^{6} \ln \left(f x +e \right)}{\left(c f -d e \right)^{5} \left(a f -b e \right)^{5}}-\frac{6 b^{2} d^{7} e^{2} \ln \left(d x +c \right)}{\left(c f -d e \right)^{5} \left(a d -b c \right)^{5}}+\frac{21 b^{2} d^{2} e^{2} f^{5} \ln \left(f x +e \right)}{\left(c f -d e \right)^{5} \left(a f -b e \right)^{5}}-\frac{6 a \,b^{5} d f}{\left(a f -b e \right)^{4} \left(a d -b c \right)^{4} \left(b x +a \right)}+\frac{3 a \,d^{6} f}{\left(c f -d e \right)^{4} \left(a d -b c \right)^{4} \left(d x +c \right)}+\frac{3 a d \,f^{6}}{\left(c f -d e \right)^{4} \left(a f -b e \right)^{4} \left(f x +e \right)}+\frac{3 b^{6} c f}{\left(a f -b e \right)^{4} \left(a d -b c \right)^{4} \left(b x +a \right)}+\frac{3 b^{6} d e}{\left(a f -b e \right)^{4} \left(a d -b c \right)^{4} \left(b x +a \right)}-\frac{6 b c \,d^{5} f}{\left(c f -d e \right)^{4} \left(a d -b c \right)^{4} \left(d x +c \right)}+\frac{3 b c \,f^{6}}{\left(c f -d e \right)^{4} \left(a f -b e \right)^{4} \left(f x +e \right)}+\frac{3 b \,d^{6} e}{\left(c f -d e \right)^{4} \left(a d -b c \right)^{4} \left(d x +c \right)}-\frac{6 b d e \,f^{5}}{\left(c f -d e \right)^{4} \left(a f -b e \right)^{4} \left(f x +e \right)}-\frac{b^{5}}{2 \left(a f -b e \right)^{3} \left(a d -b c \right)^{3} \left(b x +a \right)^{2}}+\frac{d^{5}}{2 \left(c f -d e \right)^{3} \left(a d -b c \right)^{3} \left(d x +c \right)^{2}}-\frac{f^{5}}{2 \left(c f -d e \right)^{3} \left(a f -b e \right)^{3} \left(f x +e \right)^{2}}"," ",0,"21*d^6/(c*f-d*e)^5/(a*d-b*c)^5*ln(d*x+c)*b^2*c*e*f-21*b^6/(a*f-b*e)^5/(a*d-b*c)^5*ln(b*x+a)*a*c*d*f^2-21*b^6/(a*f-b*e)^5/(a*d-b*c)^5*ln(b*x+a)*a*d^2*e*f+9*b^7/(a*f-b*e)^5/(a*d-b*c)^5*ln(b*x+a)*c*d*e*f+9*f^7/(c*f-d*e)^5/(a*f-b*e)^5*ln(f*x+e)*a*b*c*d-21*f^6/(c*f-d*e)^5/(a*f-b*e)^5*ln(f*x+e)*a*b*d^2*e-21*f^6/(c*f-d*e)^5/(a*f-b*e)^5*ln(f*x+e)*b^2*c*d*e+21*d^6/(c*f-d*e)^5/(a*d-b*c)^5*ln(d*x+c)*a*b*c*f^2-9*d^7/(c*f-d*e)^5/(a*d-b*c)^5*ln(d*x+c)*a*b*e*f-6*d^7/(c*f-d*e)^5/(a*d-b*c)^5*ln(d*x+c)*e^2*b^2+3*b^6/(a*f-b*e)^4/(a*d-b*c)^4/(b*x+a)*c*f+3*b^6/(a*f-b*e)^4/(a*d-b*c)^4/(b*x+a)*d*e+6*b^7/(a*f-b*e)^5/(a*d-b*c)^5*ln(b*x+a)*c^2*f^2+6*b^7/(a*f-b*e)^5/(a*d-b*c)^5*ln(b*x+a)*d^2*e^2+3*f^6/(c*f-d*e)^4/(a*f-b*e)^4/(f*x+e)*b*c+6*f^7/(c*f-d*e)^5/(a*f-b*e)^5*ln(f*x+e)*a^2*d^2+6*f^7/(c*f-d*e)^5/(a*f-b*e)^5*ln(f*x+e)*b^2*c^2+3*d^6/(c*f-d*e)^4/(a*d-b*c)^4/(d*x+c)*a*f+3*d^6/(c*f-d*e)^4/(a*d-b*c)^4/(d*x+c)*b*e-6*d^7/(c*f-d*e)^5/(a*d-b*c)^5*ln(d*x+c)*a^2*f^2+3*f^6/(c*f-d*e)^4/(a*f-b*e)^4/(f*x+e)*a*d-1/2*b^5/(a*f-b*e)^3/(a*d-b*c)^3/(b*x+a)^2+1/2*d^5/(c*f-d*e)^3/(a*d-b*c)^3/(d*x+c)^2-1/2*f^5/(c*f-d*e)^3/(a*f-b*e)^3/(f*x+e)^2-6*f^5/(c*f-d*e)^4/(a*f-b*e)^4/(f*x+e)*b*d*e+21*f^5/(c*f-d*e)^5/(a*f-b*e)^5*ln(f*x+e)*d^2*e^2*b^2-6*d^5/(c*f-d*e)^4/(a*d-b*c)^4/(d*x+c)*b*c*f-21*d^5/(c*f-d*e)^5/(a*d-b*c)^5*ln(d*x+c)*b^2*c^2*f^2-6*b^5/(a*f-b*e)^4/(a*d-b*c)^4/(b*x+a)*a*d*f+21*b^5/(a*f-b*e)^5/(a*d-b*c)^5*ln(b*x+a)*a^2*d^2*f^2","B"
21,1,20,19,0.013000," ","int(1/(x^3+x^2+x+1),x)","\frac{\arctan \left(x \right)}{2}+\frac{\ln \left(x +1\right)}{2}-\frac{\ln \left(x^{2}+1\right)}{4}"," ",0,"1/2*arctan(x)+1/2*ln(1+x)-1/4*ln(x^2+1)","A"
22,1,26,25,0.007000," ","int(1/(16*x^3-4*x^2+4*x-1),x)","-\frac{\arctan \left(2 x \right)}{10}+\frac{\ln \left(4 x -1\right)}{5}-\frac{\ln \left(4 x^{2}+1\right)}{10}"," ",0,"-1/10*ln(4*x^2+1)-1/10*arctan(2*x)+1/5*ln(-1+4*x)","A"
23,1,9,8,0.001000," ","int(1/d/x^3,x)","-\frac{1}{2 d \,x^{2}}"," ",0,"-1/2/d/x^2","A"
24,1,29,28,0.009000," ","int(1/(d*x^3+c*x^2),x)","-\frac{d \ln \left(x \right)}{c^{2}}+\frac{d \ln \left(d x +c \right)}{c^{2}}-\frac{1}{c x}"," ",0,"-1/c/x-d*ln(x)/c^2+d*ln(d*x+c)/c^2","A"
25,1,21,20,0.005000," ","int(1/(d*x^3+b*x),x)","\frac{\ln \left(x \right)}{b}-\frac{\ln \left(d \,x^{2}+b \right)}{2 b}"," ",0,"ln(x)/b-1/2*ln(d*x^2+b)/b","A"
26,1,62,56,0.009000," ","int(1/(d*x^3+c*x^2+b*x),x)","-\frac{c \arctan \left(\frac{2 d x +c}{\sqrt{4 b d -c^{2}}}\right)}{\sqrt{4 b d -c^{2}}\, b}+\frac{\ln \left(x \right)}{b}-\frac{\ln \left(d \,x^{2}+c x +b \right)}{2 b}"," ",0,"-1/2*ln(d*x^2+c*x+b)/b-1/b*c/(4*b*d-c^2)^(1/2)*arctan((2*d*x+c)/(4*b*d-c^2)^(1/2))+1/b*ln(x)","A"
27,1,91,78,0.008000," ","int(1/(d*x^3+a),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{d}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{d}\right)^{\frac{2}{3}} d}+\frac{\ln \left(x +\left(\frac{a}{d}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{d}\right)^{\frac{2}{3}} d}-\frac{\ln \left(x^{2}-\left(\frac{a}{d}\right)^{\frac{1}{3}} x +\left(\frac{a}{d}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{d}\right)^{\frac{2}{3}} d}"," ",0,"1/3/d/(a/d)^(2/3)*ln(x+(a/d)^(1/3))-1/6/d/(a/d)^(2/3)*ln(x^2-(a/d)^(1/3)*x+(a/d)^(2/3))+1/3/d/(a/d)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/d)^(1/3)*x-1))","A"
28,1,17,16,0.002000," ","int((d*x^3)^n,x)","\frac{x \left(d \,x^{3}\right)^{n}}{3 n +1}"," ",0,"x*(d*x^3)^n/(1+3*n)","A"
29,0,0,57,0.089000," ","int((d*x^3+c*x^2)^n,x)","\int \left(d \,x^{3}+c \,x^{2}\right)^{n}\, dx"," ",0,"int((d*x^3+c*x^2)^n,x)","F"
30,0,0,51,0.092000," ","int((d*x^3+b*x)^n,x)","\int \left(d \,x^{3}+b x \right)^{n}\, dx"," ",0,"int((d*x^3+b*x)^n,x)","F"
31,0,0,124,0.024000," ","int((d*x^3+c*x^2+b*x)^n,x)","\int \left(d \,x^{3}+c \,x^{2}+b x \right)^{n}\, dx"," ",0,"int((d*x^3+c*x^2+b*x)^n,x)","F"
32,0,0,33,0.085000," ","int((d*x^3+a)^n,x)","\int \left(d \,x^{3}+a \right)^{n}\, dx"," ",0,"int((d*x^3+a)^n,x)","F"
33,1,392,254,0.002000," ","int((d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^4,x)","\frac{d^{8} x^{17}}{17}+c \,d^{7} x^{16}+\frac{112 c^{2} d^{6} x^{15}}{15}+32 c^{3} d^{5} x^{14}+512 a^{2} c^{5} d \,x^{6}+\frac{\left(1088 c^{4} d^{4}+2 \left(8 a c \,d^{2}+16 c^{4}\right) d^{4}\right) x^{13}}{13}+256 a^{3} c^{4} d \,x^{4}+\frac{\left(64 a \,c^{2} d^{5}+1536 c^{5} d^{3}+16 \left(8 a c \,d^{2}+16 c^{4}\right) c \,d^{3}\right) x^{12}}{12}+\frac{1024 a^{3} c^{5} x^{3}}{3}+\frac{\left(576 a \,c^{3} d^{4}+1024 c^{6} d^{2}+48 \left(8 a c \,d^{2}+16 c^{4}\right) c^{2} d^{2}\right) x^{11}}{11}+\frac{\left(2048 a \,c^{4} d^{3}+64 \left(8 a c \,d^{2}+16 c^{4}\right) c^{3} d \right) x^{10}}{10}+256 a^{4} c^{4} x +\frac{\left(32 a^{2} c^{2} d^{4}+3584 a \,c^{5} d^{2}+\left(8 a c \,d^{2}+16 c^{4}\right)^{2}\right) x^{9}}{9}+\frac{\left(256 a^{2} c^{3} d^{3}+2048 a \,c^{6} d +64 \left(8 a c \,d^{2}+16 c^{4}\right) a \,c^{2} d \right) x^{8}}{8}+\frac{\left(1792 a^{2} c^{4} d^{2}+64 \left(8 a c \,d^{2}+16 c^{4}\right) a \,c^{3}\right) x^{7}}{7}+\frac{\left(1024 a^{2} c^{6}+32 \left(8 a c \,d^{2}+16 c^{4}\right) a^{2} c^{2}\right) x^{5}}{5}"," ",0,"1/17*d^8*x^17+c*d^7*x^16+112/15*c^2*d^6*x^15+32*c^3*d^5*x^14+1/13*(2*(8*a*c*d^2+16*c^4)*d^4+1088*c^4*d^4)*x^13+1/12*(64*a*c^2*d^5+16*(8*a*c*d^2+16*c^4)*c*d^3+1536*c^5*d^3)*x^12+1/11*(576*a*c^3*d^4+48*(8*a*c*d^2+16*c^4)*c^2*d^2+1024*c^6*d^2)*x^11+1/10*(2048*a*c^4*d^3+64*(8*a*c*d^2+16*c^4)*c^3*d)*x^10+1/9*(32*a^2*c^2*d^4+3584*a*c^5*d^2+(8*a*c*d^2+16*c^4)^2)*x^9+1/8*(256*a^2*c^3*d^3+2048*a*c^6*d+64*a*c^2*d*(8*a*c*d^2+16*c^4))*x^8+1/7*(1792*a^2*c^4*d^2+64*a*c^3*(8*a*c*d^2+16*c^4))*x^7+512*a^2*c^5*d*x^6+1/5*(32*a^2*c^2*(8*a*c*d^2+16*c^4)+1024*a^2*c^6)*x^5+256*a^3*c^4*d*x^4+1024/3*a^3*c^5*x^3+256*a^4*c^4*x","A"
34,1,231,161,0.002000," ","int((d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^3,x)","\frac{d^{6} x^{13}}{13}+c \,d^{5} x^{12}+\frac{60 c^{2} d^{4} x^{11}}{11}+16 c^{3} d^{3} x^{10}+64 a \,c^{4} d \,x^{6}+48 a^{2} c^{3} d \,x^{4}+64 a^{2} c^{4} x^{3}+\frac{\left(4 a c \,d^{4}+224 c^{4} d^{2}+\left(8 a c \,d^{2}+16 c^{4}\right) d^{2}\right) x^{9}}{9}+\frac{\left(64 a \,c^{2} d^{3}+128 c^{5} d +4 \left(8 a c \,d^{2}+16 c^{4}\right) c d \right) x^{8}}{8}+64 a^{3} c^{3} x +\frac{\left(256 a \,c^{3} d^{2}+4 \left(8 a c \,d^{2}+16 c^{4}\right) c^{2}\right) x^{7}}{7}+\frac{\left(16 a^{2} c^{2} d^{2}+128 a \,c^{5}+4 \left(8 a c \,d^{2}+16 c^{4}\right) a c \right) x^{5}}{5}"," ",0,"1/13*d^6*x^13+c*d^5*x^12+60/11*c^2*d^4*x^11+16*c^3*d^3*x^10+1/9*(4*a*c*d^4+224*c^4*d^2+d^2*(8*a*c*d^2+16*c^4))*x^9+1/8*(64*a*c^2*d^3+128*c^5*d+4*c*d*(8*a*c*d^2+16*c^4))*x^8+1/7*(256*a*c^3*d^2+4*c^2*(8*a*c*d^2+16*c^4))*x^7+64*a*c^4*d*x^6+1/5*(4*a*c*(8*a*c*d^2+16*c^4)+128*c^5*a+16*d^2*a^2*c^2)*x^5+48*a^2*c^3*d*x^4+64*a^2*c^4*x^3+64*a^3*c^3*x","A"
35,1,84,82,0.001000," ","int((d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^2,x)","\frac{d^{4} x^{9}}{9}+c \,d^{3} x^{8}+\frac{24 c^{2} d^{2} x^{7}}{7}+\frac{16 c^{3} d \,x^{6}}{3}+8 a \,c^{2} d \,x^{4}+\frac{32 a \,c^{3} x^{3}}{3}+16 a^{2} c^{2} x +\frac{\left(8 a c \,d^{2}+16 c^{4}\right) x^{5}}{5}"," ",0,"1/9*d^4*x^9+c*d^3*x^8+24/7*c^2*d^2*x^7+16/3*c^3*d*x^6+1/5*(8*a*c*d^2+16*c^4)*x^5+8*a*c^2*d*x^4+32/3*a*c^3*x^3+16*a^2*c^2*x","A"
36,1,29,28,0.002000," ","int(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c,x)","\frac{1}{5} d^{2} x^{5}+c d \,x^{4}+\frac{4}{3} c^{2} x^{3}+4 a c x"," ",0,"4*a*c*x+4/3*c^2*x^3+c*d*x^4+1/5*d^2*x^5","A"
37,1,64,407,0.059000," ","int(1/(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c),x)","\frac{\ln \left(-\RootOf \left(d^{2} \textit{\_Z}^{4}+4 d c \,\textit{\_Z}^{3}+4 c^{2} \textit{\_Z}^{2}+4 a c \right)+x \right)}{4 \RootOf \left(d^{2} \textit{\_Z}^{4}+4 d c \,\textit{\_Z}^{3}+4 c^{2} \textit{\_Z}^{2}+4 a c \right)^{3} d^{2}+12 \RootOf \left(d^{2} \textit{\_Z}^{4}+4 d c \,\textit{\_Z}^{3}+4 c^{2} \textit{\_Z}^{2}+4 a c \right)^{2} c d +8 \RootOf \left(d^{2} \textit{\_Z}^{4}+4 d c \,\textit{\_Z}^{3}+4 c^{2} \textit{\_Z}^{2}+4 a c \right) c^{2}}"," ",0,"1/4*sum(1/(_R^3*d^2+3*_R^2*c*d+2*_R*c^2)*ln(-_R+x),_R=RootOf(_Z^4*d^2+4*_Z^3*c*d+4*_Z^2*c^2+4*a*c))","C"
38,1,232,606,0.018000," ","int(1/(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^2,x)","\frac{\left(\RootOf \left(d^{2} \textit{\_Z}^{4}+4 d c \,\textit{\_Z}^{3}+4 c^{2} \textit{\_Z}^{2}+4 a c \right)^{2} c \,d^{2}+2 \RootOf \left(d^{2} \textit{\_Z}^{4}+4 d c \,\textit{\_Z}^{3}+4 c^{2} \textit{\_Z}^{2}+4 a c \right) c^{2} d +12 a \,d^{2}+2 c^{3}\right) \ln \left(-\RootOf \left(d^{2} \textit{\_Z}^{4}+4 d c \,\textit{\_Z}^{3}+4 c^{2} \textit{\_Z}^{2}+4 a c \right)+x \right)}{64 \left(4 a \,d^{2}+c^{3}\right) a c \left(\RootOf \left(d^{2} \textit{\_Z}^{4}+4 d c \,\textit{\_Z}^{3}+4 c^{2} \textit{\_Z}^{2}+4 a c \right)^{3} d^{2}+3 \RootOf \left(d^{2} \textit{\_Z}^{4}+4 d c \,\textit{\_Z}^{3}+4 c^{2} \textit{\_Z}^{2}+4 a c \right)^{2} c d +2 \RootOf \left(d^{2} \textit{\_Z}^{4}+4 d c \,\textit{\_Z}^{3}+4 c^{2} \textit{\_Z}^{2}+4 a c \right) c^{2}\right)}+\frac{\frac{d^{2} x^{3}}{16 \left(4 a \,d^{2}+c^{3}\right) a}+\frac{3 c d \,x^{2}}{16 \left(4 a \,d^{2}+c^{3}\right) a}+\frac{d}{16 a \,d^{2}+4 c^{3}}+\frac{\left(2 a \,d^{2}+c^{3}\right) x}{8 \left(4 a \,d^{2}+c^{3}\right) a c}}{d^{2} x^{4}+4 c d \,x^{3}+4 c^{2} x^{2}+4 a c}"," ",0,"(1/16*d^2/a/(4*a*d^2+c^3)*x^3+3/16/a*c*d/(4*a*d^2+c^3)*x^2+1/8/c*(2*a*d^2+c^3)/(4*a*d^2+c^3)/a*x+1/4*d/(4*a*d^2+c^3))/(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)+1/64/(4*a*d^2+c^3)/a/c*sum((_R^2*c*d^2+2*_R*c^2*d+12*a*d^2+2*c^3)/(_R^3*d^2+3*_R^2*c*d+2*_R*c^2)*ln(-_R+x),_R=RootOf(_Z^4*d^2+4*_Z^3*c*d+4*_Z^2*c^2+4*a*c))","C"
39,1,500,261,0.002000," ","int((8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^4,x)","\frac{4096 e^{12} x^{17}}{17}+1024 d \,e^{11} x^{16}+\frac{8192 d^{2} e^{10} x^{15}}{5}+1024 d^{3} e^{9} x^{14}+\frac{128 \left(128 a \,e^{5}-16 d^{4} e^{2}\right) e^{6} x^{13}}{13}+128 a^{2} d^{6} e^{4} x^{3}-1024 a^{3} d^{3} e^{6} x^{2}+4096 a^{4} e^{8} x +\frac{\left(16384 a d \,e^{10}-2048 d^{5} e^{7}+256 \left(128 a \,e^{5}-16 d^{4} e^{2}\right) d \,e^{5}\right) x^{12}}{12}+\frac{\left(32768 a \,d^{2} e^{9}+384 d^{6} e^{6}+128 \left(128 a \,e^{5}-16 d^{4} e^{2}\right) d^{2} e^{4}\right) x^{11}}{11}+\frac{\left(14336 a \,d^{3} e^{8}+256 d^{7} e^{5}-32 \left(128 a \,e^{5}-16 d^{4} e^{2}\right) d^{3} e^{3}\right) x^{10}}{10}+\frac{\left(8192 a^{2} e^{10}-8192 a \,d^{4} e^{7}+128 d^{8} e^{4}+\left(128 a \,e^{5}-16 d^{4} e^{2}\right)^{2}\right) x^{9}}{9}+\frac{\left(16384 a^{2} d \,e^{9}-2048 a \,d^{5} e^{6}-32 d^{9} e^{3}+256 \left(128 a \,e^{5}-16 d^{4} e^{2}\right) a d \,e^{4}\right) x^{8}}{8}+\frac{\left(24576 a^{2} d^{2} e^{8}+512 a \,d^{6} e^{5}+2 \left(128 a \,e^{5}-16 d^{4} e^{2}\right) d^{6}\right) x^{7}}{7}+\frac{\left(-2048 a^{2} d^{3} e^{7}+256 a \,d^{7} e^{4}-32 \left(128 a \,e^{5}-16 d^{4} e^{2}\right) a \,d^{3} e^{2}\right) x^{6}}{6}+\frac{\left(-4096 a^{2} d^{4} e^{6}+d^{12}+128 \left(128 a \,e^{5}-16 d^{4} e^{2}\right) a^{2} e^{4}\right) x^{5}}{5}+\frac{\left(16384 a^{3} e^{8} d -32 a \,e^{2} d^{9}\right) x^{4}}{4}"," ",0,"4096/17*e^12*x^17+1024*d*e^11*x^16+8192/5*d^2*e^10*x^15+1024*d^3*e^9*x^14+128/13*(128*a*e^5-16*d^4*e^2)*e^6*x^13+1/12*(16384*a*e^10*d+256*(128*a*e^5-16*d^4*e^2)*d*e^5-2048*d^5*e^7)*x^12+1/11*(384*d^6*e^6+32768*a*e^9*d^2+128*(128*a*e^5-16*d^4*e^2)*d^2*e^4)*x^11+1/10*(14336*a*e^8*d^3+256*d^7*e^5-32*(128*a*e^5-16*d^4*e^2)*d^3*e^3)*x^10+1/9*(8192*a^2*e^10-8192*a*e^7*d^4+128*d^8*e^4+(128*a*e^5-16*d^4*e^2)^2)*x^9+1/8*(16384*a^2*e^9*d-2048*a*e^6*d^5-32*d^9*e^3+256*a*e^4*d*(128*a*e^5-16*d^4*e^2))*x^8+1/7*(24576*a^2*e^8*d^2+512*a*e^5*d^6+2*d^6*(128*a*e^5-16*d^4*e^2))*x^7+1/6*(-2048*a^2*e^7*d^3-32*a*e^2*d^3*(128*a*e^5-16*d^4*e^2)+256*d^7*a*e^4)*x^6+1/5*(128*a^2*e^4*(128*a*e^5-16*d^4*e^2)-4096*a^2*e^6*d^4+d^12)*x^5+1/4*(16384*a^3*d*e^8-32*a*d^9*e^2)*x^4+128*a^2*e^4*d^6*x^3-1024*a^3*e^6*d^3*x^2+4096*a^4*e^8*x","A"
40,1,288,191,0.001000," ","int((8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^3,x)","\frac{512 e^{9} x^{13}}{13}+128 d \,e^{8} x^{12}+\frac{1536 d^{2} e^{7} x^{11}}{11}+32 d^{3} e^{6} x^{10}+8 a \,d^{6} e^{2} x^{3}-96 a^{2} d^{3} e^{4} x^{2}+512 a^{3} e^{6} x +\frac{\left(512 a \,e^{8}-256 d^{4} e^{5}+8 \left(128 a \,e^{5}-16 d^{4} e^{2}\right) e^{3}\right) x^{9}}{9}+\frac{\left(2048 a d \,e^{7}-64 d^{5} e^{4}+8 \left(128 a \,e^{5}-16 d^{4} e^{2}\right) d \,e^{2}\right) x^{8}}{8}+\frac{\left(1536 a \,e^{6} d^{2}+24 d^{6} e^{3}\right) x^{7}}{7}+\frac{\left(-256 a \,d^{3} e^{5}+8 d^{7} e^{2}-\left(128 a \,e^{5}-16 d^{4} e^{2}\right) d^{3}\right) x^{6}}{6}+\frac{\left(512 a^{2} e^{7}-256 a \,d^{4} e^{4}+8 \left(128 a \,e^{5}-16 d^{4} e^{2}\right) a \,e^{2}\right) x^{5}}{5}+\frac{\left(1536 a^{2} e^{6} d -d^{9}\right) x^{4}}{4}"," ",0,"512/13*e^9*x^13+128*d*e^8*x^12+1536/11*d^2*e^7*x^11+32*d^3*e^6*x^10+1/9*(512*a*e^8-256*d^4*e^5+8*e^3*(128*a*e^5-16*d^4*e^2))*x^9+1/8*(2048*a*e^7*d-64*d^5*e^4+8*d*e^2*(128*a*e^5-16*d^4*e^2))*x^8+1/7*(1536*a*d^2*e^6+24*d^6*e^3)*x^7+1/6*(-256*a*e^5*d^3-d^3*(128*a*e^5-16*d^4*e^2)+8*d^7*e^2)*x^6+1/5*(8*a*e^2*(128*a*e^5-16*d^4*e^2)-256*d^4*a*e^4+512*e^7*a^2)*x^5+1/4*(1536*a^2*d*e^6-d^9)*x^4+8*a*d^6*e^2*x^3-96*a^2*d^3*e^4*x^2+512*a^3*e^6*x","A"
41,1,100,97,0.000000," ","int((8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^2,x)","\frac{64 e^{6} x^{9}}{9}+16 d \,e^{5} x^{8}+\frac{64 d^{2} e^{4} x^{7}}{7}-\frac{8 d^{3} e^{3} x^{6}}{3}+32 a d \,e^{4} x^{4}+\frac{d^{6} x^{3}}{3}-8 a \,d^{3} e^{2} x^{2}+64 a^{2} e^{4} x +\frac{\left(128 a \,e^{5}-16 d^{4} e^{2}\right) x^{5}}{5}"," ",0,"64/9*e^6*x^9+16*d*e^5*x^8+64/7*d^2*e^4*x^7-8/3*d^3*e^3*x^6+1/5*(128*a*e^5-16*d^4*e^2)*x^5+32*a*d*e^4*x^4+1/3*d^6*x^3-8*a*d^3*e^2*x^2+64*a^2*e^4*x","A"
42,1,34,33,0.000000," ","int(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2,x)","\frac{8}{5} e^{3} x^{5}+2 d \,e^{2} x^{4}-\frac{1}{2} d^{3} x^{2}+8 a \,e^{2} x"," ",0,"8*a*e^2*x-1/2*d^3*x^2+2*d*e^2*x^4+8/5*e^3*x^5","A"
43,1,67,133,0.066000," ","int(1/(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2),x)","\frac{\ln \left(-\RootOf \left(8 e^{3} \textit{\_Z}^{4}+8 e^{2} d \,\textit{\_Z}^{3}-d^{3} \textit{\_Z} +8 a \,e^{2}\right)+x \right)}{32 \RootOf \left(8 e^{3} \textit{\_Z}^{4}+8 e^{2} d \,\textit{\_Z}^{3}-d^{3} \textit{\_Z} +8 a \,e^{2}\right)^{3} e^{3}+24 \RootOf \left(8 e^{3} \textit{\_Z}^{4}+8 e^{2} d \,\textit{\_Z}^{3}-d^{3} \textit{\_Z} +8 a \,e^{2}\right)^{2} d \,e^{2}-d^{3}}"," ",0,"sum(1/(32*_R^3*e^3+24*_R^2*d*e^2-d^3)*ln(-_R+x),_R=RootOf(8*_Z^4*e^3+8*_Z^3*d*e^2-_Z*d^3+8*a*e^2))","C"
44,1,288,314,0.023000," ","int(1/(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^2,x)","\frac{384 e^{2} \left(2 \RootOf \left(8 e^{3} \textit{\_Z}^{4}+8 e^{2} d \,\textit{\_Z}^{3}-d^{3} \textit{\_Z} +8 a \,e^{2}\right)^{2} d^{2} e +\RootOf \left(8 e^{3} \textit{\_Z}^{4}+8 e^{2} d \,\textit{\_Z}^{3}-d^{3} \textit{\_Z} +8 a \,e^{2}\right) d^{3}+32 a \,e^{2}\right) \ln \left(-\RootOf \left(8 e^{3} \textit{\_Z}^{4}+8 e^{2} d \,\textit{\_Z}^{3}-d^{3} \textit{\_Z} +8 a \,e^{2}\right)+x \right)}{\left(2048 a \,e^{3}+40 d^{4}\right) \left(64 a \,e^{3}-d^{4}\right) \left(32 \RootOf \left(8 e^{3} \textit{\_Z}^{4}+8 e^{2} d \,\textit{\_Z}^{3}-d^{3} \textit{\_Z} +8 a \,e^{2}\right)^{3} e^{3}+24 \RootOf \left(8 e^{3} \textit{\_Z}^{4}+8 e^{2} d \,\textit{\_Z}^{3}-d^{3} \textit{\_Z} +8 a \,e^{2}\right)^{2} d \,e^{2}-d^{3}\right)}+\frac{\frac{12 d^{2} e^{3} x^{3}}{\left(256 a \,e^{3}+5 d^{4}\right) \left(64 a \,e^{3}-d^{4}\right)}+\frac{9 d^{3} e^{2} x^{2}}{\left(256 a \,e^{3}+5 d^{4}\right) \left(64 a \,e^{3}-d^{4}\right)}+\frac{e x}{256 a \,e^{3}+5 d^{4}}+\frac{\left(128 a \,e^{3}-5 d^{4}\right) d}{131072 a^{2} e^{6}+512 a \,d^{4} e^{3}-40 d^{8}}}{e^{3} x^{4}+d \,e^{2} x^{3}-\frac{1}{8} d^{3} x +a \,e^{2}}"," ",0,"(12*d^2*e^3/(256*a*e^3+5*d^4)/(64*a*e^3-d^4)*x^3+9*d^3*e^2/(256*a*e^3+5*d^4)/(64*a*e^3-d^4)*x^2+e/(256*a*e^3+5*d^4)*x+1/8*d*(128*a*e^3-5*d^4)/(16384*a^2*e^6+64*a*d^4*e^3-5*d^8))/(e^3*x^4+d*e^2*x^3-1/8*d^3*x+a*e^2)+384*e^2/(2048*a*e^3+40*d^4)/(64*a*e^3-d^4)*sum((2*_R^2*d^2*e+_R*d^3+32*a*e^2)/(32*_R^3*e^3+24*_R^2*d*e^2-d^3)*ln(-_R+x),_R=RootOf(8*_Z^4*e^3+8*_Z^3*d*e^2-_Z*d^3+8*a*e^2))","C"
45,1,85,84,0.002000," ","int((8*x^4-x^3+8*x+8)^4,x)","\frac{4096}{17} x^{17}-128 x^{16}+\frac{128}{5} x^{15}+1168 x^{14}+\frac{10241}{13} x^{13}-448 x^{12}+\frac{25312}{11} x^{11}+\frac{21488}{5} x^{10}+1408 x^{9}+1376 x^{8}+6784 x^{7}+7168 x^{6}+\frac{14336}{5} x^{5}+3584 x^{4}+8192 x^{3}+8192 x^{2}+4096 x"," ",0,"4096*x+8192*x^2+8192*x^3+3584*x^4+14336/5*x^5+7168*x^6+6784*x^7+1376*x^8+1408*x^9+21488/5*x^10+25312/11*x^11-448*x^12+10241/13*x^13+1168*x^14+128/5*x^15-128*x^16+4096/17*x^17","A"
46,1,65,64,0.001000," ","int((8*x^4-x^3+8*x+8)^3,x)","\frac{512}{13} x^{13}-16 x^{12}+\frac{24}{11} x^{11}+\frac{307}{2} x^{10}+128 x^{9}-45 x^{8}+\frac{1560}{7} x^{7}+480 x^{6}+\frac{1152}{5} x^{5}+80 x^{4}+512 x^{3}+768 x^{2}+512 x"," ",0,"512*x+768*x^2+512*x^3+80*x^4+1152/5*x^5+480*x^6+1560/7*x^7-45*x^8+128*x^9+307/2*x^10+24/11*x^11-16*x^12+512/13*x^13","A"
47,1,45,44,0.000000," ","int((8*x^4-x^3+8*x+8)^2,x)","\frac{64}{9} x^{9}-2 x^{8}+\frac{1}{7} x^{7}+\frac{64}{3} x^{6}+\frac{112}{5} x^{5}-4 x^{4}+\frac{64}{3} x^{3}+64 x^{2}+64 x"," ",0,"64*x+64*x^2+64/3*x^3-4*x^4+112/5*x^5+64/3*x^6+1/7*x^7-2*x^8+64/9*x^9","A"
48,1,20,19,0.000000," ","int(8*x^4-x^3+8*x+8,x)","\frac{8}{5} x^{5}-\frac{1}{4} x^{4}+4 x^{2}+8 x"," ",0,"8*x+4*x^2-1/4*x^4+8/5*x^5","A"
49,1,41,192,0.015000," ","int(1/(8*x^4-x^3+8*x+8),x)","\frac{\ln \left(-\RootOf \left(8 \textit{\_Z}^{4}-\textit{\_Z}^{3}+8 \textit{\_Z} +8\right)+x \right)}{32 \RootOf \left(8 \textit{\_Z}^{4}-\textit{\_Z}^{3}+8 \textit{\_Z} +8\right)^{3}-3 \RootOf \left(8 \textit{\_Z}^{4}-\textit{\_Z}^{3}+8 \textit{\_Z} +8\right)^{2}+8}"," ",0,"sum(1/(32*_R^3-3*_R^2+8)*ln(-_R+x),_R=RootOf(8*_Z^4-_Z^3+8*_Z+8))","C"
50,1,83,277,0.013000," ","int(1/(8*x^4-x^3+8*x+8)^2,x)","\frac{\left(392 \RootOf \left(8 \textit{\_Z}^{4}-\textit{\_Z}^{3}+8 \textit{\_Z} +8\right)^{2}-1097 \RootOf \left(8 \textit{\_Z}^{4}-\textit{\_Z}^{3}+8 \textit{\_Z} +8\right)+2243\right) \ln \left(-\RootOf \left(8 \textit{\_Z}^{4}-\textit{\_Z}^{3}+8 \textit{\_Z} +8\right)+x \right)}{701568 \RootOf \left(8 \textit{\_Z}^{4}-\textit{\_Z}^{3}+8 \textit{\_Z} +8\right)^{3}-65772 \RootOf \left(8 \textit{\_Z}^{4}-\textit{\_Z}^{3}+8 \textit{\_Z} +8\right)^{2}+175392}+\frac{\frac{7}{3132} x^{3}-\frac{191}{58464} x^{2}+\frac{57}{12992} x +\frac{17}{10962}}{x^{4}-\frac{1}{8} x^{3}+x +1}"," ",0,"(7/3132*x^3-191/58464*x^2+57/12992*x+17/10962)/(x^4-1/8*x^3+x+1)+1/21924*sum((392*_R^2-1097*_R+2243)/(32*_R^3-3*_R^2+8)*ln(-_R+x),_R=RootOf(8*_Z^4-_Z^3+8*_Z+8))","C"
51,1,78,77,0.003000," ","int((4*x^4+4*x^2+4*x+1)^4,x)","\frac{256}{17} x^{17}+\frac{1024}{15} x^{15}+\frac{512}{7} x^{14}+\frac{1792}{13} x^{13}+256 x^{12}+\frac{3328}{11} x^{11}+384 x^{10}+\frac{4192}{9} x^{9}+448 x^{8}+\frac{2752}{7} x^{7}+\frac{992}{3} x^{6}+\frac{1136}{5} x^{5}+112 x^{4}+\frac{112}{3} x^{3}+8 x^{2}+x"," ",0,"x+8*x^2+112/3*x^3+112*x^4+1136/5*x^5+992/3*x^6+2752/7*x^7+448*x^8+4192/9*x^9+384*x^10+3328/11*x^11+256*x^12+1792/13*x^13+512/7*x^14+1024/15*x^15+256/17*x^17","A"
52,1,58,57,0.001000," ","int((4*x^4+4*x^2+4*x+1)^3,x)","\frac{64}{13} x^{13}+\frac{192}{11} x^{11}+\frac{96}{5} x^{10}+\frac{80}{3} x^{9}+48 x^{8}+\frac{352}{7} x^{7}+48 x^{6}+\frac{252}{5} x^{5}+40 x^{4}+20 x^{3}+6 x^{2}+x"," ",0,"x+6*x^2+20*x^3+40*x^4+252/5*x^5+48*x^6+352/7*x^7+48*x^8+80/3*x^9+96/5*x^10+192/11*x^11+64/13*x^13","A"
53,1,38,37,0.001000," ","int((4*x^4+4*x^2+4*x+1)^2,x)","\frac{16}{9} x^{9}+\frac{32}{7} x^{7}+\frac{16}{3} x^{6}+\frac{24}{5} x^{5}+8 x^{4}+8 x^{3}+4 x^{2}+x"," ",0,"x+4*x^2+8*x^3+8*x^4+24/5*x^5+16/3*x^6+32/7*x^7+16/9*x^9","A"
54,1,18,17,0.000000," ","int(4*x^4+4*x^2+4*x+1,x)","\frac{4}{5} x^{5}+\frac{4}{3} x^{3}+2 x^{2}+x"," ",0,"x+2*x^2+4/3*x^3+4/5*x^5","A"
55,1,41,170,0.007000," ","int(1/(4*x^4+4*x^2+4*x+1),x)","\frac{\ln \left(-\RootOf \left(4 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+4 \textit{\_Z} +1\right)+x \right)}{16 \RootOf \left(4 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+4 \textit{\_Z} +1\right)^{3}+8 \RootOf \left(4 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+4 \textit{\_Z} +1\right)+4}"," ",0,"1/4*sum(1/(4*_R^3+2*_R+1)*ln(-_R+x),_R=RootOf(4*_Z^4+4*_Z^2+4*_Z+1))","C"
56,1,79,239,0.013000," ","int(1/(4*x^4+4*x^2+4*x+1)^2,x)","\frac{\left(18 \RootOf \left(4 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+4 \textit{\_Z} +1\right)^{2}-16 \RootOf \left(4 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+4 \textit{\_Z} +1\right)+27\right) \ln \left(-\RootOf \left(4 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+4 \textit{\_Z} +1\right)+x \right)}{160 \RootOf \left(4 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+4 \textit{\_Z} +1\right)^{3}+80 \RootOf \left(4 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+4 \textit{\_Z} +1\right)+40}+\frac{\frac{9}{20} x^{3}-\frac{1}{5} x^{2}+\frac{21}{40} x +\frac{19}{80}}{x^{4}+x^{2}+x +\frac{1}{4}}"," ",0,"(9/20*x^3-1/5*x^2+21/40*x+19/80)/(x^4+x^2+x+1/4)+1/40*sum((18*_R^2-16*_R+27)/(4*_R^3+2*_R+1)*ln(-_R+x),_R=RootOf(4*_Z^4+4*_Z^2+4*_Z+1))","C"
57,1,85,84,0.002000," ","int((8*x^4-15*x^3+8*x^2+24*x+8)^4,x)","\frac{4096}{17} x^{17}-1920 x^{16}+\frac{102784}{15} x^{15}-\frac{75504}{7} x^{14}-\frac{12095}{13} x^{13}+31128 x^{12}-\frac{331040}{11} x^{11}-\frac{169584}{5} x^{10}+\frac{641152}{9} x^{9}+36384 x^{8}-\frac{566912}{7} x^{7}-30720 x^{6}+\frac{538624}{5} x^{5}+139776 x^{4}+\frac{237568}{3} x^{3}+24576 x^{2}+4096 x"," ",0,"4096*x+24576*x^2+237568/3*x^3+139776*x^4+538624/5*x^5-30720*x^6-566912/7*x^7+36384*x^8+641152/9*x^9-169584/5*x^10-331040/11*x^11+31128*x^12-12095/13*x^13-75504/7*x^14+102784/15*x^15-1920*x^16+4096/17*x^17","A"
58,1,65,64,0.000000," ","int((8*x^4-15*x^3+8*x^2+24*x+8)^3,x)","\frac{512}{13} x^{13}-240 x^{12}+\frac{6936}{11} x^{11}-\frac{4527}{10} x^{10}-\frac{2936}{3} x^{9}+2097 x^{8}+\frac{5528}{7} x^{7}-2976 x^{6}-\frac{384}{5} x^{5}+5040 x^{4}+5120 x^{3}+2304 x^{2}+512 x"," ",0,"512*x+2304*x^2+5120*x^3+5040*x^4-384/5*x^5-2976*x^6+5528/7*x^7+2097*x^8-2936/3*x^9-4527/10*x^10+6936/11*x^11-240*x^12+512/13*x^13","A"
59,1,45,44,0.002000," ","int((8*x^4-15*x^3+8*x^2+24*x+8)^2,x)","\frac{64}{9} x^{9}-30 x^{8}+\frac{353}{7} x^{7}+24 x^{6}-\frac{528}{5} x^{5}+36 x^{4}+\frac{704}{3} x^{3}+192 x^{2}+64 x"," ",0,"64*x+192*x^2+704/3*x^3+36*x^4-528/5*x^5+24*x^6+353/7*x^7-30*x^8+64/9*x^9","A"
60,1,25,24,0.001000," ","int(8*x^4-15*x^3+8*x^2+24*x+8,x)","\frac{8}{5} x^{5}-\frac{15}{4} x^{4}+\frac{8}{3} x^{3}+12 x^{2}+8 x"," ",0,"8*x+12*x^2+8/3*x^3-15/4*x^4+8/5*x^5","A"
61,1,49,188,0.008000," ","int(1/(8*x^4-15*x^3+8*x^2+24*x+8),x)","\frac{\ln \left(-\RootOf \left(8 \textit{\_Z}^{4}-15 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}+24 \textit{\_Z} +8\right)+x \right)}{32 \RootOf \left(8 \textit{\_Z}^{4}-15 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}+24 \textit{\_Z} +8\right)^{3}-45 \RootOf \left(8 \textit{\_Z}^{4}-15 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}+24 \textit{\_Z} +8\right)^{2}+16 \RootOf \left(8 \textit{\_Z}^{4}-15 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}+24 \textit{\_Z} +8\right)+24}"," ",0,"sum(1/(32*_R^3-45*_R^2+16*_R+24)*ln(-_R+x),_R=RootOf(8*_Z^4-15*_Z^3+8*_Z^2+24*_Z+8))","C"
62,1,96,287,0.011000," ","int(1/(8*x^4-15*x^3+8*x^2+24*x+8)^2,x)","\frac{\left(19640 \RootOf \left(8 \textit{\_Z}^{4}-15 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}+24 \textit{\_Z} +8\right)^{2}-57489 \RootOf \left(8 \textit{\_Z}^{4}-15 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}+24 \textit{\_Z} +8\right)+74897\right) \ln \left(-\RootOf \left(8 \textit{\_Z}^{4}-15 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}+24 \textit{\_Z} +8\right)+x \right)}{2580864 \RootOf \left(8 \textit{\_Z}^{4}-15 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}+24 \textit{\_Z} +8\right)^{3}-3629340 \RootOf \left(8 \textit{\_Z}^{4}-15 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}+24 \textit{\_Z} +8\right)^{2}+1290432 \RootOf \left(8 \textit{\_Z}^{4}-15 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}+24 \textit{\_Z} +8\right)+1935648}+\frac{\frac{2455}{80652} x^{3}-\frac{1429}{19552} x^{2}+\frac{89033}{1290432} x +\frac{3037}{53768}}{x^{4}-\frac{15}{8} x^{3}+x^{2}+3 x +1}"," ",0,"(2455/80652*x^3-1429/19552*x^2+89033/1290432*x+3037/53768)/(x^4-15/8*x^3+x^2+3*x+1)+1/80652*sum((19640*_R^2-57489*_R+74897)/(32*_R^3-45*_R^2+16*_R+24)*ln(-_R+x),_R=RootOf(8*_Z^4-15*_Z^3+8*_Z^2+24*_Z+8))","C"
63,1,164,12,0.003000," ","int((b^5*x^5+5*a*b^4*x^4+10*a^2*b^3*x^3+10*a^3*b^2*x^2+5*a^4*b*x+a^5)^3,x)","\frac{1}{16} b^{15} x^{16}+a \,b^{14} x^{15}+\frac{15}{2} a^{2} b^{13} x^{14}+35 a^{3} b^{12} x^{13}+\frac{455}{4} a^{4} b^{11} x^{12}+273 a^{5} b^{10} x^{11}+\frac{1001}{2} a^{6} b^{9} x^{10}+715 a^{7} b^{8} x^{9}+\frac{6435}{8} a^{8} b^{7} x^{8}+715 a^{9} b^{6} x^{7}+\frac{1001}{2} a^{10} b^{5} x^{6}+273 a^{11} b^{4} x^{5}+\frac{455}{4} a^{12} b^{3} x^{4}+35 a^{13} b^{2} x^{3}+\frac{15}{2} a^{14} b \,x^{2}+a^{15} x"," ",0,"1/16*b^15*x^16+a*b^14*x^15+15/2*a^2*b^13*x^14+35*a^3*b^12*x^13+455/4*a^4*b^11*x^12+273*a^5*b^10*x^11+1001/2*a^6*b^9*x^10+715*a^7*b^8*x^9+6435/8*a^8*b^7*x^8+715*a^9*b^6*x^7+1001/2*a^10*b^5*x^6+273*a^11*b^4*x^5+455/4*a^12*b^3*x^4+35*a^13*b^2*x^3+15/2*a^14*b*x^2+a^15*x","B"
64,1,109,12,0.002000," ","int((b^5*x^5+5*a*b^4*x^4+10*a^2*b^3*x^3+10*a^3*b^2*x^2+5*a^4*b*x+a^5)^2,x)","\frac{1}{11} b^{10} x^{11}+a \,b^{9} x^{10}+5 a^{2} b^{8} x^{9}+15 a^{3} b^{7} x^{8}+30 a^{4} b^{6} x^{7}+42 a^{5} b^{5} x^{6}+42 a^{6} b^{4} x^{5}+30 a^{7} b^{3} x^{4}+15 a^{8} b^{2} x^{3}+5 a^{9} b \,x^{2}+a^{10} x"," ",0,"1/11*b^10*x^11+a*b^9*x^10+5*a^2*b^8*x^9+15*a^3*b^7*x^8+30*a^4*b^6*x^7+42*a^5*b^5*x^6+42*a^6*b^4*x^5+30*a^7*b^3*x^4+15*a^8*b^2*x^3+5*a^9*b*x^2+a^10*x","B"
65,1,54,12,0.001000," ","int(b^5*x^5+5*a*b^4*x^4+10*a^2*b^3*x^3+10*a^3*b^2*x^2+5*a^4*b*x+a^5,x)","\frac{1}{6} b^{5} x^{6}+a \,b^{4} x^{5}+\frac{5}{2} a^{2} b^{3} x^{4}+\frac{10}{3} a^{3} b^{2} x^{3}+\frac{5}{2} a^{4} b \,x^{2}+a^{5} x"," ",0,"a^5*x+5/2*a^4*b*x^2+10/3*a^3*b^2*x^3+5/2*a^2*b^3*x^4+a*b^4*x^5+1/6*b^5*x^6","B"
66,1,13,12,0.006000," ","int(1/(b^5*x^5+5*a*b^4*x^4+10*a^2*b^3*x^3+10*a^3*b^2*x^2+5*a^4*b*x+a^5),x)","-\frac{1}{4 \left(b x +a \right)^{4} b}"," ",0,"-1/4/b/(b*x+a)^4","A"
67,1,13,12,0.005000," ","int(1/(b^5*x^5+5*a*b^4*x^4+10*a^2*b^3*x^3+10*a^3*b^2*x^2+5*a^4*b*x+a^5)^2,x)","-\frac{1}{9 \left(b x +a \right)^{9} b}"," ",0,"-1/9/b/(b*x+a)^9","A"
68,1,13,12,0.005000," ","int(1/(b^5*x^5+5*a*b^4*x^4+10*a^2*b^3*x^3+10*a^3*b^2*x^2+5*a^4*b*x+a^5)^3,x)","-\frac{1}{14 \left(b x +a \right)^{14} b}"," ",0,"-1/14/b/(b*x+a)^14","A"
69,1,31,30,0.009000," ","int(1/(x^5+x^3+x^2+1),x)","\frac{\arctan \left(x \right)}{2}+\frac{\ln \left(x +1\right)}{6}+\frac{\ln \left(x^{2}+1\right)}{4}-\frac{\ln \left(x^{2}-x +1\right)}{3}"," ",0,"1/2*arctan(x)+1/6*ln(x+1)+1/4*ln(x^2+1)-1/3*ln(x^2-x+1)","A"
70,1,65,64,0.000000," ","int((-16*x^6+32*x^4-19*x^2+3)^4,x)","\frac{65536}{25} x^{25}-\frac{524288}{23} x^{23}+\frac{1884160}{21} x^{21}-\frac{4014080}{19} x^{19}+\frac{5633536}{17} x^{17}-\frac{1094656}{3} x^{15}+\frac{3764416}{13} x^{13}-\frac{1841600}{11} x^{11}+\frac{634321}{9} x^{9}-\frac{149700}{7} x^{7}+4590 x^{5}-684 x^{3}+81 x"," ",0,"81*x-684*x^3+4590*x^5-149700/7*x^7+634321/9*x^9-1841600/11*x^11+3764416/13*x^13-1094656/3*x^15+5633536/17*x^17-4014080/19*x^19+1884160/21*x^21-524288/23*x^23+65536/25*x^25","A"
71,1,50,49,0.002000," ","int((-16*x^6+32*x^4-19*x^2+3)^3,x)","-\frac{4096}{19} x^{19}+\frac{24576}{17} x^{17}-\frac{21248}{5} x^{15}+\frac{93440}{13} x^{13}-\frac{84912}{11} x^{11}+\frac{16448}{3} x^{9}-2605 x^{7}+\frac{4113}{5} x^{5}-171 x^{3}+27 x"," ",0,"27*x-171*x^3+4113/5*x^5-2605*x^7+16448/3*x^9-84912/11*x^11+93440/13*x^13-21248/5*x^15+24576/17*x^17-4096/19*x^19","A"
72,1,35,34,0.003000," ","int((-16*x^6+32*x^4-19*x^2+3)^2,x)","\frac{256}{13} x^{13}-\frac{1024}{11} x^{11}+\frac{544}{3} x^{9}-\frac{1312}{7} x^{7}+\frac{553}{5} x^{5}-38 x^{3}+9 x"," ",0,"9*x-38*x^3+553/5*x^5-1312/7*x^7+544/3*x^9-1024/11*x^11+256/13*x^13","A"
73,1,20,19,0.002000," ","int(-16*x^6+32*x^4-19*x^2+3,x)","-\frac{16}{7} x^{7}+\frac{32}{5} x^{5}-\frac{19}{3} x^{3}+3 x"," ",0,"3*x-19/3*x^3+32/5*x^5-16/7*x^7","A"
74,1,42,23,0.011000," ","int(1/(-16*x^6+32*x^4-19*x^2+3),x)","-\frac{\sqrt{3}\, \arctanh \left(\frac{2 \sqrt{3}\, x}{3}\right)}{3}-\frac{\ln \left(x -1\right)}{6}-\frac{\ln \left(2 x -1\right)}{6}+\frac{\ln \left(x +1\right)}{6}+\frac{\ln \left(2 x +1\right)}{6}"," ",0,"-1/6*ln(-1+x)-1/6*ln(-1+2*x)+1/6*ln(1+2*x)+1/6*ln(x+1)-1/3*arctanh(2/3*x*3^(1/2))*3^(1/2)","A"
75,1,84,69,0.023000," ","int(1/(-16*x^6+32*x^4-19*x^2+3)^2,x)","-\frac{x}{6 \left(x^{2}-\frac{3}{4}\right)}-\frac{5 \sqrt{3}\, \arctanh \left(\frac{2 \sqrt{3}\, x}{3}\right)}{9}-\frac{67 \ln \left(x -1\right)}{108}+\frac{7 \ln \left(2 x -1\right)}{54}+\frac{67 \ln \left(x +1\right)}{108}-\frac{7 \ln \left(2 x +1\right)}{54}-\frac{1}{36 \left(x -1\right)}-\frac{1}{18 \left(2 x -1\right)}-\frac{1}{18 \left(2 x +1\right)}-\frac{1}{36 \left(x +1\right)}"," ",0,"-1/36/(x-1)-67/108*ln(x-1)-1/18/(2*x-1)+7/54*ln(2*x-1)-1/18/(2*x+1)-7/54*ln(2*x+1)-1/36/(x+1)+67/108*ln(x+1)-1/6*x/(x^2-3/4)-5/9*arctanh(2/3*3^(1/2)*x)*3^(1/2)","A"
76,1,126,115,0.023000," ","int(1/(-16*x^6+32*x^4-19*x^2+3)^3,x)","-\frac{67 \sqrt{3}\, \arctanh \left(\frac{2 \sqrt{3}\, x}{3}\right)}{18}-\frac{3913 \ln \left(x -1\right)}{1296}-\frac{67 \ln \left(2 x -1\right)}{324}+\frac{3913 \ln \left(x +1\right)}{1296}+\frac{67 \ln \left(2 x +1\right)}{324}+\frac{1}{432 \left(x -1\right)^{2}}-\frac{67}{432 \left(x -1\right)}+\frac{1}{108 \left(2 x -1\right)^{2}}+\frac{7}{108 \left(2 x -1\right)}-\frac{1}{108 \left(2 x +1\right)^{2}}+\frac{7}{108 \left(2 x +1\right)}-\frac{1}{432 \left(x +1\right)^{2}}-\frac{67}{432 \left(x +1\right)}+\frac{-\frac{20}{3} x^{3}+\frac{13}{3} x}{\left(4 x^{2}-3\right)^{2}}"," ",0,"1/432/(x-1)^2-67/432/(x-1)-3913/1296*ln(x-1)+1/108/(2*x-1)^2+7/108/(2*x-1)-67/324*ln(2*x-1)-1/108/(2*x+1)^2+7/108/(2*x+1)+67/324*ln(2*x+1)-1/432/(x+1)^2-67/432/(x+1)+3913/1296*ln(x+1)+64*(-5/48*x^3+13/192*x)/(4*x^2-3)^2-67/18*arctanh(2/3*3^(1/2)*x)*3^(1/2)","A"
77,1,116,73,0.022000," ","int(1/(x^6-7*x^4+7*x^2-1)^2,x)","\frac{3 \sqrt{2}\, \arctanh \left(\frac{\left(2 x +2\right) \sqrt{2}}{4}\right)}{512}+\frac{3 \sqrt{2}\, \arctanh \left(\frac{\left(2 x -2\right) \sqrt{2}}{4}\right)}{512}-\frac{5 \ln \left(x -1\right)}{64}+\frac{5 \ln \left(x +1\right)}{64}+\frac{\ln \left(x^{2}-2 x -1\right)}{256}-\frac{\ln \left(x^{2}+2 x -1\right)}{256}-\frac{1}{64 \left(x -1\right)}-\frac{\frac{17 x}{2}+\frac{41}{2}}{128 \left(x^{2}+2 x -1\right)}-\frac{1}{64 \left(x +1\right)}+\frac{-\frac{17 x}{2}+\frac{41}{2}}{128 x^{2}-256 x -128}"," ",0,"-1/64/(x-1)-5/64*ln(x-1)-1/128*(17/2*x+41/2)/(x^2+2*x-1)-1/256*ln(x^2+2*x-1)+3/512*2^(1/2)*arctanh(1/4*(2+2*x)*2^(1/2))-1/64/(x+1)+5/64*ln(x+1)+1/128*(-17/2*x+41/2)/(x^2-2*x-1)+1/256*ln(x^2-2*x-1)+3/512*2^(1/2)*arctanh(1/4*(2*x-2)*2^(1/2))","A"
78,1,127,70,0.012000," ","int(x^3/(c+(b*x+a)^2),x)","\frac{x^{2}}{2 b^{2}}-\frac{a^{3} \arctan \left(\frac{2 b^{2} x +2 b a}{2 b \sqrt{c}}\right)}{b^{4} \sqrt{c}}+\frac{3 a^{2} \ln \left(b^{2} x^{2}+2 a b x +a^{2}+c \right)}{2 b^{4}}-\frac{2 a x}{b^{3}}+\frac{3 a \sqrt{c}\, \arctan \left(\frac{2 b^{2} x +2 b a}{2 b \sqrt{c}}\right)}{b^{4}}-\frac{c \ln \left(b^{2} x^{2}+2 a b x +a^{2}+c \right)}{2 b^{4}}"," ",0,"1/2/b^2*x^2-2*a*x/b^3+3/2/b^4*ln(b^2*x^2+2*a*b*x+a^2+c)*a^2-1/2/b^4*ln(b^2*x^2+2*a*b*x+a^2+c)*c-1/b^4/c^(1/2)*arctan(1/2*(2*b^2*x+2*a*b)/b/c^(1/2))*a^3+3/b^4*c^(1/2)*arctan(1/2*(2*b^2*x+2*a*b)/b/c^(1/2))*a","A"
79,1,89,46,0.007000," ","int(x^2/(c+(b*x+a)^2),x)","\frac{a^{2} \arctan \left(\frac{2 b^{2} x +2 b a}{2 b \sqrt{c}}\right)}{b^{3} \sqrt{c}}-\frac{a \ln \left(b^{2} x^{2}+2 a b x +a^{2}+c \right)}{b^{3}}+\frac{x}{b^{2}}-\frac{\sqrt{c}\, \arctan \left(\frac{2 b^{2} x +2 b a}{2 b \sqrt{c}}\right)}{b^{3}}"," ",0,"x/b^2-1/b^3*a*ln(b^2*x^2+2*a*b*x+a^2+c)+1/b^3/c^(1/2)*arctan(1/2*(2*b^2*x+2*a*b)/b/c^(1/2))*a^2-1/b^3*c^(1/2)*arctan(1/2*(2*b^2*x+2*a*b)/b/c^(1/2))","A"
80,1,54,35,0.003000," ","int(x/(c+(b*x+a)^2),x)","-\frac{a \arctan \left(\frac{2 b^{2} x +2 b a}{2 b \sqrt{c}}\right)}{b^{2} \sqrt{c}}+\frac{\ln \left(b^{2} x^{2}+2 a b x +a^{2}+c \right)}{2 b^{2}}"," ",0,"1/2/b^2*ln(b^2*x^2+2*a*b*x+a^2+c)-a/b^2/c^(1/2)*arctan(1/2*(2*b^2*x+2*a*b)/b/c^(1/2))","A"
81,1,28,17,0.003000," ","int(1/(c+(b*x+a)^2),x)","\frac{\arctan \left(\frac{2 b^{2} x +2 b a}{2 b \sqrt{c}}\right)}{b \sqrt{c}}"," ",0,"1/b/c^(1/2)*arctan(1/2*(2*b^2*x+2*a*b)/b/c^(1/2))","A"
82,1,72,53,0.007000," ","int(1/x/(c+(b*x+a)^2),x)","-\frac{a \arctan \left(\frac{2 b^{2} x +2 b a}{2 b \sqrt{c}}\right)}{\left(a^{2}+c \right) \sqrt{c}}+\frac{\ln \left(x \right)}{a^{2}+c}-\frac{\ln \left(b^{2} x^{2}+2 a b x +a^{2}+c \right)}{2 \left(a^{2}+c \right)}"," ",0,"ln(x)/(a^2+c)-1/2/(a^2+c)*ln(b^2*x^2+2*a*b*x+a^2+c)-1/(a^2+c)*a/c^(1/2)*arctan(1/2*(2*b^2*x+2*a*b)/b/c^(1/2))","A"
83,1,123,75,0.011000," ","int(1/x^2/(c+(b*x+a)^2),x)","\frac{a^{2} b \arctan \left(\frac{2 b^{2} x +2 b a}{2 b \sqrt{c}}\right)}{\left(a^{2}+c \right)^{2} \sqrt{c}}-\frac{2 a b \ln \left(x \right)}{\left(a^{2}+c \right)^{2}}+\frac{a b \ln \left(b^{2} x^{2}+2 a b x +a^{2}+c \right)}{\left(a^{2}+c \right)^{2}}-\frac{b \sqrt{c}\, \arctan \left(\frac{2 b^{2} x +2 b a}{2 b \sqrt{c}}\right)}{\left(a^{2}+c \right)^{2}}-\frac{1}{\left(a^{2}+c \right) x}"," ",0,"-1/(a^2+c)/x-2*a*b*ln(x)/(a^2+c)^2+b/(a^2+c)^2*a*ln(b^2*x^2+2*a*b*x+a^2+c)+b/(a^2+c)^2/c^(1/2)*arctan(1/2*(2*b^2*x+2*a*b)/b/c^(1/2))*a^2-b/(a^2+c)^2*c^(1/2)*arctan(1/2*(2*b^2*x+2*a*b)/b/c^(1/2))","A"
84,1,198,113,0.010000," ","int(1/x^3/(c+(b*x+a)^2),x)","-\frac{a^{3} b^{2} \arctan \left(\frac{2 b^{2} x +2 b a}{2 b \sqrt{c}}\right)}{\left(a^{2}+c \right)^{3} \sqrt{c}}+\frac{3 a^{2} b^{2} \ln \left(x \right)}{\left(a^{2}+c \right)^{3}}-\frac{3 a^{2} b^{2} \ln \left(b^{2} x^{2}+2 a b x +a^{2}+c \right)}{2 \left(a^{2}+c \right)^{3}}+\frac{3 a \,b^{2} \sqrt{c}\, \arctan \left(\frac{2 b^{2} x +2 b a}{2 b \sqrt{c}}\right)}{\left(a^{2}+c \right)^{3}}-\frac{b^{2} c \ln \left(x \right)}{\left(a^{2}+c \right)^{3}}+\frac{b^{2} c \ln \left(b^{2} x^{2}+2 a b x +a^{2}+c \right)}{2 \left(a^{2}+c \right)^{3}}+\frac{2 a b}{\left(a^{2}+c \right)^{2} x}-\frac{1}{2 \left(a^{2}+c \right) x^{2}}"," ",0,"-1/2/(a^2+c)/x^2+3*b^2/(a^2+c)^3*ln(x)*a^2-b^2/(a^2+c)^3*ln(x)*c+2*a*b/(a^2+c)^2/x-3/2*b^2/(a^2+c)^3*ln(b^2*x^2+2*a*b*x+a^2+c)*a^2+1/2*b^2/(a^2+c)^3*ln(b^2*x^2+2*a*b*x+a^2+c)*c-b^2/(a^2+c)^3/c^(1/2)*arctan(1/2*(2*b^2*x+2*a*b)/b/c^(1/2))*a^3+3*b^2/(a^2+c)^3*c^(1/2)*arctan(1/2*(2*b^2*x+2*a*b)/b/c^(1/2))*a","A"
85,1,34,23,0.006000," ","int(1/(a+b*(d*x+c)^2),x)","\frac{\arctan \left(\frac{2 b \,d^{2} x +2 b d c}{2 \sqrt{a b}\, d}\right)}{\sqrt{a b}\, d}"," ",0,"1/d/(b*a)^(1/2)*arctan(1/2*(2*b*d^2*x+2*b*c*d)/d/(b*a)^(1/2))","A"
86,1,86,51,0.004000," ","int(1/(a+b*(d*x+c)^2)^2,x)","\frac{\arctan \left(\frac{2 b \,d^{2} x +2 b d c}{2 \sqrt{a b}\, d}\right)}{2 \sqrt{a b}\, a d}+\frac{2 b \,d^{2} x +2 b d c}{4 \left(b \,d^{2} x^{2}+2 b c d x +b \,c^{2}+a \right) a b \,d^{2}}"," ",0,"1/4*(2*b*d^2*x+2*b*c*d)/a/b/d^2/(b*d^2*x^2+2*b*c*d*x+b*c^2+a)+1/2/d/a/(a*b)^(1/2)*arctan(1/2*(2*b*d^2*x+2*b*c*d)/(a*b)^(1/2)/d)","A"
87,1,147,77,0.005000," ","int(1/(a+b*(d*x+c)^2)^3,x)","\frac{3 x}{8 \left(b \,d^{2} x^{2}+2 b c d x +b \,c^{2}+a \right) a^{2}}+\frac{3 c}{8 \left(b \,d^{2} x^{2}+2 b c d x +b \,c^{2}+a \right) a^{2} d}+\frac{3 \arctan \left(\frac{2 b \,d^{2} x +2 b d c}{2 \sqrt{a b}\, d}\right)}{8 \sqrt{a b}\, a^{2} d}+\frac{2 b \,d^{2} x +2 b d c}{8 \left(b \,d^{2} x^{2}+2 b c d x +b \,c^{2}+a \right)^{2} a b \,d^{2}}"," ",0,"1/8*(2*b*d^2*x+2*b*c*d)/a/b/d^2/(b*d^2*x^2+2*b*c*d*x+b*c^2+a)^2+3/8/a^2/(b*d^2*x^2+2*b*c*d*x+b*c^2+a)*x+3/8/a^2/d/(b*d^2*x^2+2*b*c*d*x+b*c^2+a)*c+3/8/a^2/d/(a*b)^(1/2)*arctan(1/2*(2*b*d^2*x+2*b*c*d)/(a*b)^(1/2)/d)","A"
88,1,42,27,0.010000," ","int(1/(b*(d*x+c)^2+(-a)^(1/2)),x)","\frac{\arctan \left(\frac{2 b \,d^{2} x +2 b d c}{2 \sqrt{\sqrt{-a}\, b}\, d}\right)}{\sqrt{\sqrt{-a}\, b}\, d}"," ",0,"1/d/((-a)^(1/2)*b)^(1/2)*arctan(1/2*(2*b*d^2*x+2*b*c*d)/d/((-a)^(1/2)*b)^(1/2))","A"
89,1,11,10,0.003000," ","int(1/(1+(d*x+c)^2),x)","\frac{\arctan \left(d x +c \right)}{d}"," ",0,"arctan(d*x+c)/d","A"
90,1,59,33,0.006000," ","int(1/(1+(d*x+c)^2)^2,x)","\frac{\arctan \left(\frac{2 d^{2} x +2 c d}{2 d}\right)}{2 d}+\frac{2 d^{2} x +2 c d}{4 \left(d^{2} x^{2}+2 c d x +c^{2}+1\right) d^{2}}"," ",0,"1/4*(2*d^2*x+2*c*d)/d^2/(d^2*x^2+2*c*d*x+c^2+1)+1/2/d*arctan(1/2*(2*d^2*x+2*c*d)/d)","A"
91,1,94,54,0.006000," ","int(1/(1+(d*x+c)^2)^3,x)","\frac{3 \arctan \left(\frac{2 d^{2} x +2 c d}{2 d}\right)}{8 d}+\frac{2 d^{2} x +2 c d}{8 \left(d^{2} x^{2}+2 c d x +c^{2}+1\right)^{2} d^{2}}+\frac{\frac{3}{8} d^{2} x +\frac{3}{8} c d}{\left(d^{2} x^{2}+2 c d x +c^{2}+1\right) d^{2}}"," ",0,"1/8*(2*d^2*x+2*c*d)/d^2/(d^2*x^2+2*c*d*x+c^2+1)^2+3/16*(2*d^2*x+2*c*d)/(d^2*x^2+2*c*d*x+c^2+1)/d^2+3/8/d*arctan(1/2*(2*d^2*x+2*c*d)/d)","A"
92,1,26,10,0.010000," ","int(1/(1-(d*x+c)^2),x)","-\frac{\ln \left(d x +c -1\right)}{2 d}+\frac{\ln \left(d x +c +1\right)}{2 d}"," ",0,"-1/2/d*ln(d*x+c-1)+1/2/d*ln(d*x+c+1)","B"
93,1,52,35,0.010000," ","int(1/(1-(d*x+c)^2)^2,x)","-\frac{\ln \left(d x +c -1\right)}{4 d}+\frac{\ln \left(d x +c +1\right)}{4 d}-\frac{1}{4 \left(d x +c -1\right) d}-\frac{1}{4 \left(d x +c +1\right) d}"," ",0,"-1/4/d/(d*x+c-1)-1/4/d*ln(d*x+c-1)-1/4/d/(d*x+c+1)+1/4/d*ln(d*x+c+1)","A"
94,1,78,58,0.010000," ","int(1/(1-(d*x+c)^2)^3,x)","-\frac{3 \ln \left(d x +c -1\right)}{16 d}+\frac{3 \ln \left(d x +c +1\right)}{16 d}+\frac{1}{16 \left(d x +c -1\right)^{2} d}-\frac{3}{16 \left(d x +c -1\right) d}-\frac{1}{16 \left(d x +c +1\right)^{2} d}-\frac{3}{16 \left(d x +c +1\right) d}"," ",0,"1/16/d/(d*x+c-1)^2-3/16/(d*x+c-1)/d-3/16/d*ln(d*x+c-1)-1/16/d/(d*x+c+1)^2-3/16/(d*x+c+1)/d+3/16/d*ln(d*x+c+1)","A"
95,1,12,4,0.005000," ","int(1/(1-(x+1)^2),x)","-\frac{\ln \left(x \right)}{2}+\frac{\ln \left(x +2\right)}{2}"," ",0,"1/2*ln(2+x)-1/2*ln(x)","B"
96,1,24,23,0.008000," ","int(1/(1-(x+1)^2)^2,x)","-\frac{\ln \left(x \right)}{4}+\frac{\ln \left(x +2\right)}{4}-\frac{1}{4 x}-\frac{1}{4 \left(x +2\right)}"," ",0,"-1/4/(x+2)+1/4*ln(x+2)-1/4/x-1/4*ln(x)","A"
97,1,36,39,0.010000," ","int(1/(1-(x+1)^2)^3,x)","-\frac{3 \ln \left(x \right)}{16}+\frac{3 \ln \left(x +2\right)}{16}-\frac{3}{16 x}+\frac{1}{16 x^{2}}-\frac{1}{16 \left(x +2\right)^{2}}-\frac{3}{16 \left(x +2\right)}"," ",0,"-1/16/(x+2)^2-3/16/(x+2)+3/16*ln(x+2)+1/16/x^2-3/16/x-3/16*ln(x)","A"
98,1,64,53,0.004000," ","int((1+(b*x+a)^2)^2/x,x)","\frac{b^{4} x^{4}}{4}+\frac{4 a \,b^{3} x^{3}}{3}+3 a^{2} b^{2} x^{2}+a^{4} \ln \left(x \right)+4 a^{3} b x +b^{2} x^{2}+2 a^{2} \ln \left(x \right)+4 a b x +\ln \left(x \right)"," ",0,"1/4*b^4*x^4+4/3*a*b^3*x^3+3*x^2*a^2*b^2+4*a^3*b*x+b^2*x^2+4*a*b*x+ln(x)*a^4+2*ln(x)*a^2+ln(x)","A"
99,1,12,10,0.001000," ","int(x^2/(1+(x-1)^2),x)","x +\ln \left(x^{2}-2 x +2\right)"," ",0,"x+ln(x^2-2*x+2)","A"
100,1,35,34,0.006000," ","int(x^2/(1-(x+1)^2)^(1/2),x)","-\frac{\sqrt{-x^{2}-2 x}\, x}{2}+\frac{3 \arcsin \left(x +1\right)}{2}+\frac{3 \sqrt{-x^{2}-2 x}}{2}"," ",0,"-1/2*x*(-x^2-2*x)^(1/2)+3/2*(-x^2-2*x)^(1/2)+3/2*arcsin(x+1)","A"
101,1,152,57,0.020000," ","int(x^2/(1-(b*x+a)^2)^(1/2),x)","\frac{a^{2} \arctan \left(\frac{\sqrt{b^{2}}\, \left(x +\frac{a}{b}\right)}{\sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}}\right)}{\sqrt{b^{2}}\, b^{2}}-\frac{\sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}\, x}{2 b^{2}}+\frac{\arctan \left(\frac{\sqrt{b^{2}}\, \left(x +\frac{a}{b}\right)}{\sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}}\right)}{2 \sqrt{b^{2}}\, b^{2}}+\frac{3 \sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}\, a}{2 b^{3}}"," ",0,"-1/2*x/b^2*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2)+3/2*a/b^3*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2)+a^2/b^2/(b^2)^(1/2)*arctan((b^2)^(1/2)*(a/b+x)/(-b^2*x^2-2*a*b*x-a^2+1)^(1/2))+1/2/b^2/(b^2)^(1/2)*arctan((b^2)^(1/2)*(a/b+x)/(-b^2*x^2-2*a*b*x-a^2+1)^(1/2))","B"
102,1,146,53,0.011000," ","int(x^2/(1+(b*x+a)^2)^(1/2),x)","\frac{a^{2} \ln \left(\frac{b^{2} x +a b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+2 a b x +a^{2}+1}\right)}{\sqrt{b^{2}}\, b^{2}}+\frac{\sqrt{b^{2} x^{2}+2 a b x +a^{2}+1}\, x}{2 b^{2}}-\frac{\ln \left(\frac{b^{2} x +a b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+2 a b x +a^{2}+1}\right)}{2 \sqrt{b^{2}}\, b^{2}}-\frac{3 \sqrt{b^{2} x^{2}+2 a b x +a^{2}+1}\, a}{2 b^{3}}"," ",0,"1/2*x/b^2*(b^2*x^2+2*a*b*x+a^2+1)^(1/2)-3/2*a/b^3*(b^2*x^2+2*a*b*x+a^2+1)^(1/2)+a^2/b^2*ln((b^2*x+a*b)/(b^2)^(1/2)+(b^2*x^2+2*a*b*x+a^2+1)^(1/2))/(b^2)^(1/2)-1/2/b^2*ln((b^2*x+a*b)/(b^2)^(1/2)+(b^2*x^2+2*a*b*x+a^2+1)^(1/2))/(b^2)^(1/2)","B"
103,1,108,186,0.006000," ","int(x^3/(a+b*(d*x+c)^3),x)","\frac{x}{b \,d^{3}}+\frac{\left(-3 \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2} b c \,d^{2}-3 \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) b \,c^{2} d -b \,c^{3}-a \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 b^{2} d^{4} \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"x/b/d^3+1/3/b^2/d^4*sum((-3*_R^2*b*c*d^2-3*_R*b*c^2*d-b*c^3-a)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
104,1,74,160,0.004000," ","int(x^2/(a+b*(d*x+c)^3),x)","\frac{\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2} \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 b d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"1/3/b/d*sum(_R^2/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
105,1,72,131,0.003000," ","int(x/(a+b*(d*x+c)^3),x)","\frac{\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 b d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"1/3/b/d*sum(_R/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
106,1,71,103,0.002000," ","int(1/(a+b*(d*x+c)^3),x)","\frac{\ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 b d \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"1/3/b/d*sum(1/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))","C"
107,1,105,168,0.010000," ","int(1/x/(a+b*(d*x+c)^3),x)","\frac{\ln \left(x \right)}{b \,c^{3}+a}-\frac{\left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+3 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+3 c^{2}\right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 \left(b \,c^{3}+a \right) \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}"," ",0,"-1/3/(b*c^3+a)*sum((_R^2*d^2+3*_R*c*d+3*c^2)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))+ln(x)/(b*c^3+a)","C"
108,1,144,262,0.010000," ","int(1/x^2/(a+b*(d*x+c)^3),x)","-\frac{3 b \,c^{2} d \ln \left(x \right)}{\left(b \,c^{3}+a \right)^{2}}+\frac{d \left(3 \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2} b \,c^{2} d^{2}+8 \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) b \,c^{3} d +6 b \,c^{4}-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) a d -3 a c \right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 \left(b \,c^{3}+a \right)^{2} \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{\left(b \,c^{3}+a \right) x}"," ",0,"1/3*d/(b*c^3+a)^2*sum((3*_R^2*b*c^2*d^2+8*_R*b*c^3*d+6*b*c^4-_R*a*d-3*a*c)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))-1/(b*c^3+a)/x-3*b*c^2*d*ln(x)/(b*c^3+a)^2","C"
109,1,217,331,0.012000," ","int(1/x^3/(a+b*(d*x+c)^3),x)","\frac{6 b^{2} c^{4} d^{2} \ln \left(x \right)}{\left(b \,c^{3}+a \right)^{3}}-\frac{3 a b c \,d^{2} \ln \left(x \right)}{\left(b \,c^{3}+a \right)^{3}}+\frac{3 b \,c^{2} d}{\left(b \,c^{3}+a \right)^{2} x}+\frac{d^{2} \left(-6 \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2} b^{2} c^{4} d^{2}-15 \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) b^{2} c^{5} d -10 b^{2} c^{6}+3 \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2} a b c \,d^{2}+12 \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right) a b \,c^{2} d +16 a b \,c^{3}-a^{2}\right) \ln \left(-\RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+x \right)}{3 \left(b \,c^{3}+a \right)^{3} \left(d^{2} \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)^{2}+2 c d \RootOf \left(b \,d^{3} \textit{\_Z}^{3}+3 b \,d^{2} c \,\textit{\_Z}^{2}+3 b d \,c^{2} \textit{\_Z} +b \,c^{3}+a \right)+c^{2}\right)}-\frac{1}{2 \left(b \,c^{3}+a \right) x^{2}}"," ",0,"1/3*d^2/(b*c^3+a)^3*sum((-6*_R^2*b^2*c^4*d^2-15*_R*b^2*c^5*d-10*b^2*c^6+3*_R^2*a*b*c*d^2+12*_R*a*b*c^2*d+16*a*b*c^3-a^2)/(_R^2*d^2+2*_R*c*d+c^2)*ln(-_R+x),_R=RootOf(_Z^3*b*d^3+3*_Z^2*b*c*d^2+3*_Z*b*c^2*d+b*c^3+a))-1/2/(b*c^3+a)/x^2+3*b*c^2*d/(b*c^3+a)^2/x+6*b^2*d^2*c^4/(b*c^3+a)^3*ln(x)-3*b*d^2*c/(b*c^3+a)^3*ln(x)*a","C"
110,1,97,263,0.016000," ","int(x^3/(a+b*(d*x+c)^4),x)","\frac{\RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{3} \ln \left(-\RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)+x \right)}{4 b d \left(d^{3} \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{3}+3 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{2} c \,d^{2}+3 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right) c^{2} d +c^{3}\right)}"," ",0,"1/4/b/d*sum(_R^3/(_R^3*d^3+3*_R^2*c*d^2+3*_R*c^2*d+c^3)*ln(-_R+x),_R=RootOf(_Z^4*b*d^4+4*_Z^3*b*c*d^3+6*_Z^2*b*c^2*d^2+4*_Z*b*c^3*d+b*c^4+a))","C"
111,1,97,229,0.005000," ","int(x^2/(a+b*(d*x+c)^4),x)","\frac{\RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{2} \ln \left(-\RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)+x \right)}{4 b d \left(d^{3} \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{3}+3 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{2} c \,d^{2}+3 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right) c^{2} d +c^{3}\right)}"," ",0,"1/4/b/d*sum(_R^2/(_R^3*d^3+3*_R^2*c*d^2+3*_R*c^2*d+c^3)*ln(-_R+x),_R=RootOf(_Z^4*b*d^4+4*_Z^3*b*c*d^3+6*_Z^2*b*c^2*d^2+4*_Z*b*c^3*d+b*c^4+a))","C"
112,1,95,186,0.007000," ","int(x/(a+b*(d*x+c)^4),x)","\frac{\RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right) \ln \left(-\RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)+x \right)}{4 b d \left(d^{3} \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{3}+3 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{2} c \,d^{2}+3 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right) c^{2} d +c^{3}\right)}"," ",0,"1/4/b/d*sum(_R/(_R^3*d^3+3*_R^2*c*d^2+3*_R*c^2*d+c^3)*ln(-_R+x),_R=RootOf(_Z^4*b*d^4+4*_Z^3*b*c*d^3+6*_Z^2*b*c^2*d^2+4*_Z*b*c^3*d+b*c^4+a))","C"
113,1,94,156,0.005000," ","int(1/(a+b*(d*x+c)^4),x)","\frac{\ln \left(-\RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)+x \right)}{4 b d \left(d^{3} \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{3}+3 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{2} c \,d^{2}+3 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right) c^{2} d +c^{3}\right)}"," ",0,"1/4/b/d*sum(1/(_R^3*d^3+3*_R^2*c*d^2+3*_R*c^2*d+c^3)*ln(-_R+x),_R=RootOf(_Z^4*b*d^4+4*_Z^3*b*c*d^3+6*_Z^2*b*c^2*d^2+4*_Z*b*c^3*d+b*c^4+a))","C"
114,1,139,300,0.008000," ","int(1/x/(a+b*(d*x+c)^4),x)","\frac{\ln \left(x \right)}{b \,c^{4}+a}-\frac{\left(d^{3} \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{3}+4 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{2} c \,d^{2}+6 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right) c^{2} d +4 c^{3}\right) \ln \left(-\RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)+x \right)}{4 \left(b \,c^{4}+a \right) \left(d^{3} \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{3}+3 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{2} c \,d^{2}+3 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right) c^{2} d +c^{3}\right)}"," ",0,"-1/4/(b*c^4+a)*sum((_R^3*d^3+4*_R^2*c*d^2+6*_R*c^2*d+4*c^3)/(_R^3*d^3+3*_R^2*c*d^2+3*_R*c^2*d+c^3)*ln(-_R+x),_R=RootOf(_Z^4*b*d^4+4*_Z^3*b*c*d^3+6*_Z^2*b*c^2*d^2+4*_Z*b*c^3*d+b*c^4+a))+ln(x)/(b*c^4+a)","C"
115,1,188,407,0.013000," ","int(1/x^2/(a+b*(d*x+c)^4),x)","-\frac{4 b \,c^{3} d \ln \left(x \right)}{\left(b \,c^{4}+a \right)^{2}}+\frac{d \left(4 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{3} b \,c^{3} d^{3}+10 b \,c^{6}+\left(15 b \,c^{4}-a \right) \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{2} d^{2}+4 \left(5 b \,c^{4}-a \right) \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right) c d -6 a \,c^{2}\right) \ln \left(-\RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)+x \right)}{4 \left(b \,c^{4}+a \right)^{2} \left(d^{3} \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{3}+3 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right)^{2} c \,d^{2}+3 \RootOf \left(b \,d^{4} \textit{\_Z}^{4}+4 b \,d^{3} c \,\textit{\_Z}^{3}+6 b \,d^{2} c^{2} \textit{\_Z}^{2}+4 b \,c^{3} d \textit{\_Z} +b \,c^{4}+a \right) c^{2} d +c^{3}\right)}-\frac{1}{\left(b \,c^{4}+a \right) x}"," ",0,"1/4*d/(b*c^4+a)^2*sum((4*b*d^3*c^3*_R^3+d^2*(15*b*c^4-a)*_R^2+4*c*d*(5*b*c^4-a)*_R+10*b*c^6-6*a*c^2)/(_R^3*d^3+3*_R^2*c*d^2+3*_R*c^2*d+c^3)*ln(-_R+x),_R=RootOf(_Z^4*b*d^4+4*_Z^3*b*c*d^3+6*_Z^2*b*c^2*d^2+4*_Z*b*c^3*d+b*c^4+a))-1/(b*c^4+a)/x-4*b*c^3*d*ln(x)/(b*c^4+a)^2","C"
116,1,264,107,0.003000," ","int((-x^4+4*x^3-8*x^2+a+8*x)^4,x)","\frac{x^{17}}{17}-x^{16}+\frac{128 x^{15}}{15}-48 x^{14}+\frac{\left(-4 a +2560\right) x^{13}}{13}+\frac{\left(48 a -7424\right) x^{12}}{12}+\frac{\left(-288 a +16768\right) x^{11}}{11}+\frac{\left(1120 a -29696\right) x^{10}}{10}+\frac{\left(2 a^{2}-2560 a +24576+\left(-2 a +128\right)^{2}\right) x^{9}}{9}+\frac{\left(-16 a^{2}+3584 a -10240+2 \left(8 a -128\right) \left(-2 a +128\right)\right) x^{8}}{8}+\frac{\left(64 a^{2}-2560 a +2 \left(-16 a +64\right) \left(-2 a +128\right)+\left(8 a -128\right)^{2}\right) x^{7}}{7}+\frac{\left(-160 a^{2}+32 \left(-2 a +128\right) a +2 \left(-16 a +64\right) \left(8 a -128\right)\right) x^{6}}{6}+a^{4} x +16 a^{3} x^{2}+\frac{\left(2 \left(-2 a +128\right) a^{2}+32 \left(8 a -128\right) a +\left(-16 a +64\right)^{2}\right) x^{5}}{5}+\frac{\left(2 \left(8 a -128\right) a^{2}+32 \left(-16 a +64\right) a \right) x^{4}}{4}+\frac{\left(2 \left(-16 a +64\right) a^{2}+256 a^{2}\right) x^{3}}{3}"," ",0,"1/17*x^17-x^16+128/15*x^15-48*x^14+1/13*(-4*a+2560)*x^13+1/12*(48*a-7424)*x^12+1/11*(-288*a+16768)*x^11+1/10*(1120*a-29696)*x^10+1/9*(2*a^2-2560*a+24576+(-2*a+128)^2)*x^9+1/8*(-16*a^2+3584*a-10240+2*(8*a-128)*(-2*a+128))*x^8+1/7*(64*a^2-2560*a+2*(-16*a+64)*(-2*a+128)+(8*a-128)^2)*x^7+1/6*(-160*a^2+32*a*(-2*a+128)+2*(-16*a+64)*(8*a-128))*x^6+1/5*(2*a^2*(-2*a+128)+32*a*(8*a-128)+(-16*a+64)^2)*x^5+1/4*(2*a^2*(8*a-128)+32*a*(-16*a+64))*x^4+1/3*(2*a^2*(-16*a+64)+256*a^2)*x^3+16*a^3*x^2+a^4*x","B"
117,1,138,110,0.000000," ","int((-x^4+4*x^3-8*x^2+a+8*x)^3,x)","-\frac{x^{13}}{13}+x^{12}-\frac{72 x^{11}}{11}+28 x^{10}+\frac{\left(3 a -768\right) x^{9}}{9}+\frac{\left(-24 a +1536\right) x^{8}}{8}+\frac{\left(96 a -2240\right) x^{7}}{7}+\frac{\left(-240 a +2304\right) x^{6}}{6}+\frac{\left(-a^{2}+\left(-2 a +128\right) a +256 a -1536\right) x^{5}}{5}+a^{3} x +12 a^{2} x^{2}+\frac{\left(4 a^{2}+\left(8 a -128\right) a -256 a +512\right) x^{4}}{4}+\frac{\left(-8 a^{2}+\left(-16 a +64\right) a +128 a \right) x^{3}}{3}"," ",0,"-1/13*x^13+x^12-72/11*x^11+28*x^10+1/9*(3*a-768)*x^9+1/8*(-24*a+1536)*x^8+1/7*(96*a-2240)*x^7+1/6*(-240*a+2304)*x^6+1/5*((-2*a+128)*a+256*a-1536-a^2)*x^5+1/4*((8*a-128)*a-256*a+512+4*a^2)*x^4+1/3*((-16*a+64)*a+128*a-8*a^2)*x^3+12*a^2*x^2+a^3*x","A"
118,1,63,62,0.000000," ","int((-x^4+4*x^3-8*x^2+a+8*x)^2,x)","\frac{x^{9}}{9}-x^{8}+\frac{32 x^{7}}{7}-\frac{40 x^{6}}{3}+\frac{\left(-2 a +128\right) x^{5}}{5}+\frac{\left(8 a -128\right) x^{4}}{4}+a^{2} x +8 a \,x^{2}+\frac{\left(-16 a +64\right) x^{3}}{3}"," ",0,"1/9*x^9-x^8+32/7*x^7-40/3*x^6+1/5*(-2*a+128)*x^5+1/4*(8*a-128)*x^4+1/3*(-16*a+64)*x^3+8*a*x^2+a^2*x","A"
119,1,23,22,0.000000," ","int(-x^4+4*x^3-8*x^2+a+8*x,x)","-\frac{1}{5} x^{5}+x^{4}-\frac{8}{3} x^{3}+a x +4 x^{2}"," ",0,"a*x+4*x^2-8/3*x^3+x^4-1/5*x^5","A"
120,1,49,65,0.016000," ","int(1/(-x^4+4*x^3-8*x^2+a+8*x),x)","-\frac{\ln \left(-\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)+x \right)}{4 \left(\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{3}-3 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2}+4 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)-2\right)}"," ",0,"-1/4*sum(1/(_R^3-3*_R^2+4*_R-2)*ln(-_R+x),_R=RootOf(_Z^4-4*_Z^3+8*_Z^2-8*_Z-a))","C"
121,1,158,139,0.013000," ","int(1/(-x^4+4*x^3-8*x^2+a+8*x)^2,x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2}+2 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)-3 a -12\right) \ln \left(-\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)+x \right)}{16 \left(a +3\right) \left(a +4\right) \left(\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{3}-3 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2}+4 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)-2\right)}+\frac{-\frac{x^{3}}{4 \left(a^{2}+7 a +12\right)}+\frac{3 x^{2}}{4 \left(a^{2}+7 a +12\right)}-\frac{\left(a +8\right) x}{4 \left(a^{2}+7 a +12\right)}+\frac{a +6}{4 a^{2}+28 a +48}}{x^{4}-4 x^{3}+8 x^{2}-a -8 x}"," ",0,"(-1/4/(a^2+7*a+12)*x^3+3/4/(a^2+7*a+12)*x^2-1/4*(8+a)/(a^2+7*a+12)*x+1/4*(6+a)/(a^2+7*a+12))/(x^4-4*x^3+8*x^2-a-8*x)+1/16/(3+a)/(4+a)*sum((-_R^2+2*_R-3*a-12)/(_R^3-3*_R^2+4*_R-2)*ln(-_R+x),_R=RootOf(_Z^4-4*_Z^3+8*_Z^2-8*_Z-a))","C"
122,1,398,219,0.023000," ","int(1/(-x^4+4*x^3-8*x^2+a+8*x)^3,x)","-\frac{3 \left(2 \left(2 a +7\right) \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2}+7 a^{2}+4 \left(-2 a -7\right) \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)+55 a +108\right) \ln \left(-\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)+x \right)}{128 \left(a^{3}+10 a^{2}+33 a +36\right) \left(a +4\right) \left(\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{3}-3 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2}+4 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)-2\right)}-\frac{\frac{3 \left(2 a +7\right) x^{7}}{16 \left(a^{4}+14 a^{3}+73 a^{2}+168 a +144\right)}-\frac{21 \left(2 a +7\right) x^{6}}{16 \left(a^{2}+8 a +16\right) \left(a^{2}+6 a +9\right)}+\frac{\left(7 a^{2}+343 a +1116\right) x^{5}}{32 a^{4}+448 a^{3}+2336 a^{2}+5376 a +4608}-\frac{5 \left(7 a^{2}+175 a +528\right) x^{4}}{32 \left(a^{4}+14 a^{3}+73 a^{2}+168 a +144\right)}+\frac{\left(34 a^{2}+679 a +1968\right) x^{3}}{16 a^{4}+224 a^{3}+1168 a^{2}+2688 a +2304}-\frac{\left(32 a^{2}+623 a +1800\right) x^{2}}{16 \left(a^{4}+14 a^{3}+73 a^{2}+168 a +144\right)}-\frac{\left(11 a^{3}+107 a^{2}-84 a -1152\right) x}{32 \left(a^{4}+14 a^{3}+73 a^{2}+168 a +144\right)}+\frac{11 a^{3}+131 a^{2}+408 a +288}{32 a^{4}+448 a^{3}+2336 a^{2}+5376 a +4608}}{\left(x^{4}-4 x^{3}+8 x^{2}-a -8 x \right)^{2}}"," ",0,"-(3/16*(7+2*a)/(a^4+14*a^3+73*a^2+168*a+144)*x^7-21/16*(7+2*a)/(a^2+8*a+16)/(a^2+6*a+9)*x^6+1/32*(7*a^2+343*a+1116)/(a^4+14*a^3+73*a^2+168*a+144)*x^5-5/32*(7*a^2+175*a+528)/(a^4+14*a^3+73*a^2+168*a+144)*x^4+1/16*(34*a^2+679*a+1968)/(a^4+14*a^3+73*a^2+168*a+144)*x^3-1/16*(32*a^2+623*a+1800)/(a^4+14*a^3+73*a^2+168*a+144)*x^2-1/32*(11*a^3+107*a^2-84*a-1152)/(a^4+14*a^3+73*a^2+168*a+144)*x+1/32*(11*a^3+131*a^2+408*a+288)/(a^4+14*a^3+73*a^2+168*a+144))/(x^4-4*x^3+8*x^2-a-8*x)^2-3/128/(a^3+10*a^2+33*a+36)/(a+4)*sum((108+2*(7+2*a)*_R^2+4*(-2*a-7)*_R+7*a^2+55*a)/(_R^3-3*_R^2+4*_R-2)*ln(-_R+x),_R=RootOf(_Z^4-4*_Z^3+8*_Z^2-8*_Z-a))","C"
123,1,267,182,0.003000," ","int(x*(-x^4+4*x^3-8*x^2+a+8*x)^4,x)","\frac{x^{18}}{18}-\frac{16 x^{17}}{17}+8 x^{16}-\frac{224 x^{15}}{5}+\frac{\left(-4 a +2560\right) x^{14}}{14}+\frac{\left(48 a -7424\right) x^{13}}{13}+\frac{\left(-288 a +16768\right) x^{12}}{12}+\frac{\left(1120 a -29696\right) x^{11}}{11}+\frac{\left(2 a^{2}-2560 a +24576+\left(-2 a +128\right)^{2}\right) x^{10}}{10}+\frac{\left(-16 a^{2}+3584 a -10240+2 \left(8 a -128\right) \left(-2 a +128\right)\right) x^{9}}{9}+\frac{\left(64 a^{2}-2560 a +2 \left(-16 a +64\right) \left(-2 a +128\right)+\left(8 a -128\right)^{2}\right) x^{8}}{8}+\frac{\left(-160 a^{2}+32 \left(-2 a +128\right) a +2 \left(-16 a +64\right) \left(8 a -128\right)\right) x^{7}}{7}+\frac{a^{4} x^{2}}{2}+\frac{32 a^{3} x^{3}}{3}+\frac{\left(2 \left(-2 a +128\right) a^{2}+32 \left(8 a -128\right) a +\left(-16 a +64\right)^{2}\right) x^{6}}{6}+\frac{\left(2 \left(8 a -128\right) a^{2}+32 \left(-16 a +64\right) a \right) x^{5}}{5}+\frac{\left(2 \left(-16 a +64\right) a^{2}+256 a^{2}\right) x^{4}}{4}"," ",0,"1/18*x^18-16/17*x^17+8*x^16-224/5*x^15+1/14*(-4*a+2560)*x^14+1/13*(48*a-7424)*x^13+1/12*(-288*a+16768)*x^12+1/11*(1120*a-29696)*x^11+1/10*(2*a^2-2560*a+24576+(-2*a+128)^2)*x^10+1/9*(-16*a^2+3584*a-10240+2*(8*a-128)*(-2*a+128))*x^9+1/8*(64*a^2-2560*a+2*(-16*a+64)*(-2*a+128)+(8*a-128)^2)*x^8+1/7*(-160*a^2+32*(-2*a+128)*a+2*(-16*a+64)*(8*a-128))*x^7+1/6*(2*(-2*a+128)*a^2+32*(8*a-128)*a+(-16*a+64)^2)*x^6+1/5*(2*(8*a-128)*a^2+32*(-16*a+64)*a)*x^5+1/4*(2*(-16*a+64)*a^2+256*a^2)*x^4+32/3*a^3*x^3+1/2*a^4*x^2","A"
124,1,143,116,0.002000," ","int(x*(-x^4+4*x^3-8*x^2+a+8*x)^3,x)","-\frac{x^{14}}{14}+\frac{12 x^{13}}{13}-6 x^{12}+\frac{280 x^{11}}{11}+\frac{\left(3 a -768\right) x^{10}}{10}+\frac{\left(-24 a +1536\right) x^{9}}{9}+\frac{\left(96 a -2240\right) x^{8}}{8}+\frac{\left(-240 a +2304\right) x^{7}}{7}+\frac{\left(-a^{2}+\left(-2 a +128\right) a +256 a -1536\right) x^{6}}{6}+\frac{a^{3} x^{2}}{2}+8 a^{2} x^{3}+\frac{\left(4 a^{2}+\left(8 a -128\right) a -256 a +512\right) x^{5}}{5}+\frac{\left(-8 a^{2}+\left(-16 a +64\right) a +128 a \right) x^{4}}{4}"," ",0,"-1/14*x^14+12/13*x^13-6*x^12+280/11*x^11+1/10*(3*a-768)*x^10+1/9*(-24*a+1536)*x^9+1/8*(96*a-2240)*x^8+1/7*(-240*a+2304)*x^7+1/6*(-a^2+(-2*a+128)*a+256*a-1536)*x^6+1/5*(4*a^2+(8*a-128)*a-256*a+512)*x^5+1/4*(-8*a^2+(-16*a+64)*a+128*a)*x^4+8*a^2*x^3+1/2*a^3*x^2","A"
125,1,66,65,0.000000," ","int(x*(-x^4+4*x^3-8*x^2+a+8*x)^2,x)","\frac{x^{10}}{10}-\frac{8 x^{9}}{9}+4 x^{8}-\frac{80 x^{7}}{7}+\frac{\left(-2 a +128\right) x^{6}}{6}+\frac{\left(8 a -128\right) x^{5}}{5}+\frac{a^{2} x^{2}}{2}+\frac{16 a \,x^{3}}{3}+\frac{\left(-16 a +64\right) x^{4}}{4}"," ",0,"1/10*x^10-8/9*x^9+4*x^8-80/7*x^7+1/6*(-2*a+128)*x^6+1/5*(8*a-128)*x^5+1/4*(-16*a+64)*x^4+16/3*a*x^3+1/2*a^2*x^2","A"
126,1,28,27,0.000000," ","int(x*(-x^4+4*x^3-8*x^2+a+8*x),x)","-\frac{1}{6} x^{6}+\frac{4}{5} x^{5}-2 x^{4}+\frac{1}{2} a \,x^{2}+\frac{8}{3} x^{3}"," ",0,"1/2*a*x^2+8/3*x^3-2*x^4+4/5*x^5-1/6*x^6","A"
127,1,50,86,0.004000," ","int(x/(-x^4+4*x^3-8*x^2+a+8*x),x)","-\frac{\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right) \ln \left(-\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)+x \right)}{4 \left(\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{3}-3 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2}+4 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)-2\right)}"," ",0,"-1/4*sum(_R/(_R^3-3*_R^2+4*_R-2)*ln(-_R+x),_R=RootOf(_Z^4-4*_Z^3+8*_Z^2-8*_Z-a))","C"
128,1,162,193,0.012000," ","int(x/(-x^4+4*x^3-8*x^2+a+8*x)^2,x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2}+2 \left(-a -2\right) \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)-a -6\right) \ln \left(-\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)+x \right)}{16 \left(a^{2}+7 a +12\right) \left(\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{3}-3 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2}+4 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)-2\right)}+\frac{-\frac{a \,x^{2}}{4 \left(a^{2}+7 a +12\right)}-\frac{x^{3}}{4 \left(a^{2}+7 a +12\right)}-\frac{a}{4 \left(a^{2}+7 a +12\right)}+\frac{\left(a -2\right) x}{4 a^{2}+28 a +48}}{x^{4}-4 x^{3}+8 x^{2}-a -8 x}"," ",0,"(-1/4/(a^2+7*a+12)*x^3-1/4*a/(a^2+7*a+12)*x^2+1/4*(a-2)/(a^2+7*a+12)*x-1/4*a/(a^2+7*a+12))/(x^4-4*x^3+8*x^2-a-8*x)+1/16/(a^2+7*a+12)*sum((-6-_R^2+2*(-a-2)*_R-a)/(_R^3-3*_R^2+4*_R-2)*ln(-_R+x),_R=RootOf(_Z^4-4*_Z^3+8*_Z^2-8*_Z-a))","C"
129,1,405,306,0.023000," ","int(x/(-x^4+4*x^3-8*x^2+a+8*x)^3,x)","-\frac{3 \left(2 \left(2 a +7\right) \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2}+3 a^{2}+4 \left(a^{2}+4 a +2\right) \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)+31 a +72\right) \ln \left(-\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)+x \right)}{128 \left(a^{4}+14 a^{3}+73 a^{2}+168 a +144\right) \left(\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{3}-3 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2}+4 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)-2\right)}-\frac{\frac{3 \left(2 a +7\right) x^{7}}{16 \left(a^{4}+14 a^{3}+73 a^{2}+168 a +144\right)}+\frac{3 \left(a^{2}-8 a -40\right) x^{6}}{16 \left(a^{4}+14 a^{3}+73 a^{2}+168 a +144\right)}-\frac{\left(29 a^{2}-127 a -792\right) x^{5}}{32 \left(a^{4}+14 a^{3}+73 a^{2}+168 a +144\right)}+\frac{\left(73 a^{2}-227 a -1668\right) x^{4}}{32 a^{4}+448 a^{3}+2336 a^{2}+5376 a +4608}-\frac{\left(62 a^{2}-103 a -1104\right) x^{3}}{16 \left(a^{4}+14 a^{3}+73 a^{2}+168 a +144\right)}-\frac{\left(5 a^{3}-26 a^{2}+140 a +1008\right) x^{2}}{16 \left(a^{4}+14 a^{3}+73 a^{2}+168 a +144\right)}-\frac{3 \left(3 a^{2}+7 a -12\right) a}{32 \left(a^{4}+14 a^{3}+73 a^{2}+168 a +144\right)}+\frac{3 \left(3 a^{3}-17 a^{2}-40 a +192\right) x}{32 \left(a^{4}+14 a^{3}+73 a^{2}+168 a +144\right)}}{\left(x^{4}-4 x^{3}+8 x^{2}-a -8 x \right)^{2}}"," ",0,"-(3/16*(2*a+7)/(a^4+14*a^3+73*a^2+168*a+144)*x^7+3/16*(a^2-8*a-40)/(a^4+14*a^3+73*a^2+168*a+144)*x^6-1/32*(29*a^2-127*a-792)/(a^4+14*a^3+73*a^2+168*a+144)*x^5+1/32*(73*a^2-227*a-1668)/(a^4+14*a^3+73*a^2+168*a+144)*x^4-1/16*(62*a^2-103*a-1104)/(a^4+14*a^3+73*a^2+168*a+144)*x^3-1/16*(5*a^3-26*a^2+140*a+1008)/(a^4+14*a^3+73*a^2+168*a+144)*x^2+3/32*(3*a^3-17*a^2-40*a+192)/(a^4+14*a^3+73*a^2+168*a+144)*x-3/32*a*(3*a^2+7*a-12)/(a^4+14*a^3+73*a^2+168*a+144))/(x^4-4*x^3+8*x^2-a-8*x)^2-3/128/(a^4+14*a^3+73*a^2+168*a+144)*sum((72+2*(2*a+7)*_R^2+4*(a^2+4*a+2)*_R+3*a^2+31*a)/(_R^3-3*_R^2+4*_R-2)*ln(-_R+x),_R=RootOf(_Z^4-4*_Z^3+8*_Z^2-8*_Z-a))","C"
130,1,267,182,0.001000," ","int(x^2*(-x^4+4*x^3-8*x^2+a+8*x)^4,x)","\frac{x^{19}}{19}-\frac{8 x^{18}}{9}+\frac{128 x^{17}}{17}-42 x^{16}+\frac{\left(-4 a +2560\right) x^{15}}{15}+\frac{\left(48 a -7424\right) x^{14}}{14}+\frac{\left(-288 a +16768\right) x^{13}}{13}+\frac{\left(1120 a -29696\right) x^{12}}{12}+\frac{\left(2 a^{2}-2560 a +24576+\left(-2 a +128\right)^{2}\right) x^{11}}{11}+\frac{\left(-16 a^{2}+3584 a -10240+2 \left(8 a -128\right) \left(-2 a +128\right)\right) x^{10}}{10}+\frac{\left(64 a^{2}-2560 a +2 \left(-16 a +64\right) \left(-2 a +128\right)+\left(8 a -128\right)^{2}\right) x^{9}}{9}+\frac{\left(-160 a^{2}+32 \left(-2 a +128\right) a +2 \left(-16 a +64\right) \left(8 a -128\right)\right) x^{8}}{8}+\frac{a^{4} x^{3}}{3}+8 a^{3} x^{4}+\frac{\left(2 \left(-2 a +128\right) a^{2}+32 \left(8 a -128\right) a +\left(-16 a +64\right)^{2}\right) x^{7}}{7}+\frac{\left(2 \left(8 a -128\right) a^{2}+32 \left(-16 a +64\right) a \right) x^{6}}{6}+\frac{\left(2 \left(-16 a +64\right) a^{2}+256 a^{2}\right) x^{5}}{5}"," ",0,"1/19*x^19-8/9*x^18+128/17*x^17-42*x^16+1/15*(-4*a+2560)*x^15+1/14*(48*a-7424)*x^14+1/13*(-288*a+16768)*x^13+1/12*(1120*a-29696)*x^12+1/11*(2*a^2-2560*a+24576+(-2*a+128)^2)*x^11+1/10*(-16*a^2+3584*a-10240+2*(8*a-128)*(-2*a+128))*x^10+1/9*(64*a^2-2560*a+2*(-16*a+64)*(-2*a+128)+(8*a-128)^2)*x^9+1/8*(-160*a^2+32*(-2*a+128)*a+2*(-16*a+64)*(8*a-128))*x^8+1/7*(2*(-2*a+128)*a^2+32*(8*a-128)*a+(-16*a+64)^2)*x^7+1/6*(2*(8*a-128)*a^2+32*(-16*a+64)*a)*x^6+1/5*(2*(-16*a+64)*a^2+256*a^2)*x^5+8*a^3*x^4+1/3*a^4*x^3","A"
131,1,143,116,0.003000," ","int(x^2*(-x^4+4*x^3-8*x^2+a+8*x)^3,x)","-\frac{x^{15}}{15}+\frac{6 x^{14}}{7}-\frac{72 x^{13}}{13}+\frac{70 x^{12}}{3}+\frac{\left(3 a -768\right) x^{11}}{11}+\frac{\left(-24 a +1536\right) x^{10}}{10}+\frac{\left(96 a -2240\right) x^{9}}{9}+\frac{\left(-240 a +2304\right) x^{8}}{8}+\frac{\left(-a^{2}+\left(-2 a +128\right) a +256 a -1536\right) x^{7}}{7}+\frac{a^{3} x^{3}}{3}+6 a^{2} x^{4}+\frac{\left(4 a^{2}+\left(8 a -128\right) a -256 a +512\right) x^{6}}{6}+\frac{\left(-8 a^{2}+\left(-16 a +64\right) a +128 a \right) x^{5}}{5}"," ",0,"-1/15*x^15+6/7*x^14-72/13*x^13+70/3*x^12+1/11*(3*a-768)*x^11+1/10*(-24*a+1536)*x^10+1/9*(96*a-2240)*x^9+1/8*(-240*a+2304)*x^8+1/7*(-a^2+(-2*a+128)*a+256*a-1536)*x^7+1/6*(4*a^2+(8*a-128)*a-256*a+512)*x^6+1/5*(-8*a^2+(-16*a+64)*a+128*a)*x^5+6*a^2*x^4+1/3*a^3*x^3","A"
132,1,66,65,0.001000," ","int(x^2*(-x^4+4*x^3-8*x^2+a+8*x)^2,x)","\frac{x^{11}}{11}-\frac{4 x^{10}}{5}+\frac{32 x^{9}}{9}-10 x^{8}+\frac{\left(-2 a +128\right) x^{7}}{7}+\frac{\left(8 a -128\right) x^{6}}{6}+\frac{a^{2} x^{3}}{3}+4 a \,x^{4}+\frac{\left(-16 a +64\right) x^{5}}{5}"," ",0,"1/11*x^11-4/5*x^10+32/9*x^9-10*x^8+1/7*(-2*a+128)*x^7+1/6*(8*a-128)*x^6+1/5*(-16*a+64)*x^5+4*a*x^4+1/3*a^2*x^3","A"
133,1,28,27,0.000000," ","int(x^2*(-x^4+4*x^3-8*x^2+a+8*x),x)","-\frac{1}{7} x^{7}+\frac{2}{3} x^{6}-\frac{8}{5} x^{5}+\frac{1}{3} a \,x^{3}+2 x^{4}"," ",0,"1/3*a*x^3+2*x^4-8/5*x^5+2/3*x^6-1/7*x^7","A"
134,1,52,75,0.004000," ","int(x^2/(-x^4+4*x^3-8*x^2+a+8*x),x)","-\frac{\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2} \ln \left(-\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)+x \right)}{4 \left(\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{3}-3 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2}+4 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)-2\right)}"," ",0,"-1/4*sum(_R^2/(_R^3-3*_R^2+4*_R-2)*ln(-_R+x),_R=RootOf(_Z^4-4*_Z^3+8*_Z^2-8*_Z-a))","C"
135,1,160,191,0.014000," ","int(x^2/(-x^4+4*x^3-8*x^2+a+8*x)^2,x)","\frac{\left(\left(-a -4\right) \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2}+2 \left(-a -2\right) \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)+a \right) \ln \left(-\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)+x \right)}{16 \left(a +3\right) \left(a +4\right) \left(\RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{3}-3 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)^{2}+4 \RootOf \left(\textit{\_Z}^{4}-4 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-8 \textit{\_Z} -a \right)-2\right)}+\frac{-\frac{x^{3}}{4 \left(a +3\right)}+\frac{\left(a +6\right) x^{2}}{4 \left(a +3\right) \left(a +4\right)}-\frac{a}{4 \left(a +3\right) \left(a +4\right)}-\frac{\left(a +8\right) x}{4 \left(a +3\right) \left(a +4\right)}}{x^{4}-4 x^{3}+8 x^{2}-a -8 x}"," ",0,"(-1/4/(a+3)*x^3+1/4*(a+6)/(a+3)/(a+4)*x^2-1/4*(a+8)/(a+3)/(a+4)*x-1/4*a/(a+3)/(a+4))/(x^4-4*x^3+8*x^2-a-8*x)+1/16/(a+3)/(a+4)*sum(((-a-4)*_R^2+2*(-a-2)*_R+a)/(_R^3-3*_R^2+4*_R-2)*ln(-_R+x),_R=RootOf(_Z^4-4*_Z^3+8*_Z^2-8*_Z-a))","C"
136,1,93,388,0.015000," ","int(x^4/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x)","\frac{\RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{4} \ln \left(-\RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)+x \right)}{6 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{5} b^{3}+36 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{3} a \,b^{2}+81 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{2} a^{2} c +54 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right) a^{2} b}"," ",0,"1/3*sum(_R^4/(2*_R^5*b^3+12*_R^3*a*b^2+27*_R^2*a^2*c+18*_R*a^2*b)*ln(-_R+x),_R=RootOf(_Z^6*b^3+9*_Z^4*a*b^2+27*_Z^3*a^2*c+27*_Z^2*a^2*b+27*a^3))","C"
137,1,93,346,0.003000," ","int(x^3/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x)","\frac{\RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{3} \ln \left(-\RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)+x \right)}{6 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{5} b^{3}+36 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{3} a \,b^{2}+81 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{2} a^{2} c +54 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right) a^{2} b}"," ",0,"1/3*sum(_R^3/(2*_R^5*b^3+12*_R^3*a*b^2+27*_R^2*a^2*c+18*_R*a^2*b)*ln(-_R+x),_R=RootOf(_Z^6*b^3+9*_Z^4*a*b^2+27*_Z^3*a^2*c+27*_Z^2*a^2*b+27*a^3))","C"
138,1,93,231,0.005000," ","int(x^2/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x)","\frac{\RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{2} \ln \left(-\RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)+x \right)}{6 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{5} b^{3}+36 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{3} a \,b^{2}+81 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{2} a^{2} c +54 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right) a^{2} b}"," ",0,"1/3*sum(_R^2/(2*_R^5*b^3+12*_R^3*a*b^2+27*_R^2*a^2*c+18*_R*a^2*b)*ln(-_R+x),_R=RootOf(_Z^6*b^3+9*_Z^4*a*b^2+27*_Z^3*a^2*c+27*_Z^2*a^2*b+27*a^3))","C"
139,1,91,328,0.005000," ","int(x/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x)","\frac{\RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right) \ln \left(-\RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)+x \right)}{6 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{5} b^{3}+36 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{3} a \,b^{2}+81 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{2} a^{2} c +54 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right) a^{2} b}"," ",0,"1/3*sum(_R/(2*_R^5*b^3+12*_R^3*a*b^2+27*_R^2*a^2*c+18*_R*a^2*b)*ln(-_R+x),_R=RootOf(_Z^6*b^3+9*_Z^4*a*b^2+27*_Z^3*a^2*c+27*_Z^2*a^2*b+27*a^3))","C"
140,1,90,367,0.005000," ","int(1/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x)","\frac{\ln \left(-\RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)+x \right)}{6 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{5} b^{3}+36 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{3} a \,b^{2}+81 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{2} a^{2} c +54 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right) a^{2} b}"," ",0,"1/3*sum(1/(2*_R^5*b^3+12*_R^3*a*b^2+27*_R^2*a^2*c+18*_R*a^2*b)*ln(-_R+x),_R=RootOf(_Z^6*b^3+9*_Z^4*a*b^2+27*_Z^3*a^2*c+27*_Z^2*a^2*b+27*a^3))","C"
141,1,134,397,0.009000," ","int(1/x/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x)","\frac{\ln \left(x \right)}{27 a^{3}}-\frac{\left(\RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{5} b^{3}+9 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{3} a \,b^{2}+27 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{2} a^{2} c +27 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right) a^{2} b \right) \ln \left(-\RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)+x \right)}{81 a^{3} \left(2 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{5} b^{3}+12 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{3} a \,b^{2}+27 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{2} a^{2} c +18 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right) a^{2} b \right)}"," ",0,"-1/81/a^3*sum((_R^5*b^3+9*_R^3*a*b^2+27*_R^2*a^2*c+27*_R*a^2*b)/(2*_R^5*b^3+12*_R^3*a*b^2+27*_R^2*a^2*c+18*_R*a^2*b)*ln(-_R+x),_R=RootOf(_Z^6*b^3+9*_Z^4*a*b^2+27*_Z^3*a^2*c+27*_Z^2*a^2*b+27*a^3))+1/27*ln(x)/a^3","C"
142,1,133,456,0.008000," ","int(1/x^2/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x)","\frac{\left(-\RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{4} b^{3}-9 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{2} a \,b^{2}-27 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right) a^{2} c -27 b \,a^{2}\right) \ln \left(-\RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)+x \right)}{81 a^{3} \left(2 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{5} b^{3}+12 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{3} a \,b^{2}+27 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right)^{2} a^{2} c +18 \RootOf \left(b^{3} \textit{\_Z}^{6}+9 b^{2} a \,\textit{\_Z}^{4}+27 a^{2} c \,\textit{\_Z}^{3}+27 b \,a^{2} \textit{\_Z}^{2}+27 a^{3}\right) a^{2} b \right)}-\frac{1}{27 a^{3} x}"," ",0,"-1/27/a^3/x+1/81/a^3*sum((-_R^4*b^3-9*_R^2*a*b^2-27*_R*a^2*c-27*a^2*b)/(2*_R^5*b^3+12*_R^3*a*b^2+27*_R^2*a^2*c+18*_R*a^2*b)*ln(-_R+x),_R=RootOf(_Z^6*b^3+9*_Z^4*a*b^2+27*_Z^3*a^2*c+27*_Z^2*a^2*b+27*a^3))","C"
143,1,56,277,0.008000," ","int(x^5/(x^6+18*x^4+324*x^3+108*x^2+216),x)","\frac{\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5} \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{6 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+72 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+972 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+216 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}"," ",0,"1/6*sum(_R^5/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
144,1,56,255,0.009000," ","int(x^4/(x^6+18*x^4+324*x^3+108*x^2+216),x)","\frac{\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{4} \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{6 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+72 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+972 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+216 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}"," ",0,"1/6*sum(_R^4/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
145,1,56,242,0.009000," ","int(x^3/(x^6+18*x^4+324*x^3+108*x^2+216),x)","\frac{\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3} \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{6 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+72 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+972 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+216 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}"," ",0,"1/6*sum(_R^3/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
146,1,56,163,0.008000," ","int(x^2/(x^6+18*x^4+324*x^3+108*x^2+216),x)","\frac{\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2} \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{6 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+72 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+972 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+216 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}"," ",0,"1/6*sum(_R^2/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
147,1,54,242,0.008000," ","int(x/(x^6+18*x^4+324*x^3+108*x^2+216),x)","\frac{\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{6 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+72 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+972 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+216 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}"," ",0,"1/6*sum(_R/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
148,1,53,255,0.007000," ","int(1/(x^6+18*x^4+324*x^3+108*x^2+216),x)","\frac{\ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{6 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+72 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+972 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+216 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}"," ",0,"1/6*sum(1/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
149,1,75,283,0.013000," ","int(1/x/(x^6+18*x^4+324*x^3+108*x^2+216),x)","\frac{\ln \left(x \right)}{216}-\frac{\left(\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+18 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+324 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+108 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{1296 \left(\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+12 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+162 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+36 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)\right)}"," ",0,"1/216*ln(x)-1/1296*sum((_R^5+18*_R^3+324*_R^2+108*_R)/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
150,1,74,307,0.011000," ","int(1/x^2/(x^6+18*x^4+324*x^3+108*x^2+216),x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{4}-18 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}-324 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)-108\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{1296 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+15552 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+209952 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+46656 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}-\frac{1}{216 x}"," ",0,"-1/216/x+1/1296*sum((-_R^4-18*_R^2-324*_R-108)/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
151,1,122,735,0.015000," ","int(x^8/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x)","\frac{\left(-9 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{4}-406 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}-324 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+96 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)-324\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{205092 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+2461104 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+33224904 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+7383312 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}+\frac{-\frac{1}{3798} x^{5}-\frac{203}{34182} x^{4}-\frac{215}{633} x^{3}-\frac{665}{5697} x^{2}+\frac{2}{211} x -\frac{146}{633}}{x^{6}+18 x^{4}+324 x^{3}+108 x^{2}+216}"," ",0,"(-1/3798*x^5-203/34182*x^4-215/633*x^3-665/5697*x^2+2/211*x-146/633)/(x^6+18*x^4+324*x^3+108*x^2+216)+1/205092*sum((-9*_R^4-406*_R^3-324*_R^2+96*_R-324)/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
152,1,122,694,0.016000," ","int(x^7/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x)","\frac{\left(73 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{4}-36 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+96 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}-216 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+96\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{410184 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+4922208 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+66449808 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+14766624 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}+\frac{\frac{73}{68364} x^{5}-\frac{1}{3798} x^{4}+\frac{227}{17091} x^{3}+\frac{4}{633} x^{2}-\frac{8}{5697} x +\frac{2}{211}}{x^{6}+18 x^{4}+324 x^{3}+108 x^{2}+216}"," ",0,"(73/68364*x^5-1/3798*x^4+227/17091*x^3+4/633*x^2-8/5697*x+2/211)/(x^6+18*x^4+324*x^3+108*x^2+216)+1/410184*sum((73*_R^4-36*_R^3+96*_R^2-216*_R+96)/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
153,1,122,478,0.015000," ","int(x^6/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x)","\frac{\left(-3 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{4}+146 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}-108 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+32 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)-108\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{410184 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+4922208 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+66449808 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+14766624 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}+\frac{-\frac{1}{22788} x^{5}+\frac{73}{68364} x^{4}-\frac{2}{1899} x^{3}-\frac{16}{17091} x^{2}+\frac{1}{633} x -\frac{8}{5697}}{x^{6}+18 x^{4}+324 x^{3}+108 x^{2}+216}"," ",0,"(-1/22788*x^5+73/68364*x^4-2/1899*x^3-16/17091*x^2+1/633*x-8/5697)/(x^6+18*x^4+324*x^3+108*x^2+216)+1/410184*sum((-3*_R^4+146*_R^3-108*_R^2+32*_R-108)/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
154,1,122,467,0.012000," ","int(x^5/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x)","\frac{\left(4 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{4}-54 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+2043 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}-324 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+144\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{3691656 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+44299872 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+598048272 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+132899616 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}+\frac{\frac{1}{153819} x^{5}-\frac{1}{22788} x^{4}+\frac{1}{844} x^{3}+\frac{2}{1899} x^{2}-\frac{4}{17091} x +\frac{1}{633}}{x^{6}+18 x^{4}+324 x^{3}+108 x^{2}+216}"," ",0,"(1/153819*x^5-1/22788*x^4+1/844*x^3+2/1899*x^2-4/17091*x+1/633)/(x^6+18*x^4+324*x^3+108*x^2+216)+1/3691656*sum((4*_R^4-54*_R^3+2043*_R^2-324*_R+144)/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
155,1,122,588,0.013000," ","int(x^4/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x)","\frac{\left(-9 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{4}+16 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}-324 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+2628 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)-324\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{7383312 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+88599744 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+1196096544 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+265799232 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}+\frac{-\frac{1}{136728} x^{5}+\frac{1}{153819} x^{4}-\frac{1}{5697} x^{3}-\frac{1}{844} x^{2}+\frac{1}{3798} x -\frac{4}{17091}}{x^{6}+18 x^{4}+324 x^{3}+108 x^{2}+216}"," ",0,"(-1/136728*x^5+1/153819*x^4-1/5697*x^3-1/844*x^2+1/3798*x-4/17091)/(x^6+18*x^4+324*x^3+108*x^2+216)+1/7383312*sum((-9*_R^4+16*_R^3-324*_R^2+2628*_R-324)/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
156,1,122,601,0.013000," ","int(x^3/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x)","\frac{\left(2 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{4}-27 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+72 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}-162 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+1971\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{11074968 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+132899616 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+1794144816 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+398698848 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}+\frac{\frac{1}{922914} x^{5}-\frac{1}{136728} x^{4}+\frac{4}{153819} x^{3}+\frac{1}{5697} x^{2}-\frac{73}{68364} x +\frac{1}{3798}}{x^{6}+18 x^{4}+324 x^{3}+108 x^{2}+216}"," ",0,"(1/922914*x^5-1/136728*x^4+4/153819*x^3+1/5697*x^2-73/68364*x+1/3798)/(x^6+18*x^4+324*x^3+108*x^2+216)+1/11074968*sum((2*_R^4-27*_R^3+72*_R^2-162*_R+1971)/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
157,1,122,676,0.014000," ","int(x^2/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x)","\frac{\left(-9 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{4}+16 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}-324 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}-2436 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)-324\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)+x \right)}{44299872 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{5}+531598464 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{3}+7176579264 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)^{2}+1594795392 \RootOf \left(\textit{\_Z}^{6}+18 \textit{\_Z}^{4}+324 \textit{\_Z}^{3}+108 \textit{\_Z}^{2}+216\right)}+\frac{-\frac{1}{820368} x^{5}+\frac{1}{922914} x^{4}-\frac{1}{34182} x^{3}-\frac{227}{615276} x^{2}+\frac{1}{22788} x -\frac{73}{68364}}{x^{6}+18 x^{4}+324 x^{3}+108 x^{2}+216}"," ",0,"(-1/820368*x^5+1/922914*x^4-1/34182*x^3-227/615276*x^2+1/22788*x-73/68364)/(x^6+18*x^4+324*x^3+108*x^2+216)+1/44299872*sum((-9*_R^4+16*_R^3-324*_R^2-2436*_R-324)/(_R^5+12*_R^3+162*_R^2+36*_R)*ln(-_R+x),_R=RootOf(_Z^6+18*_Z^4+324*_Z^3+108*_Z^2+216))","C"
158,1,22,21,0.000000," ","int((b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(d*x+c),x)","\frac{1}{5} b^{2} x^{5}+\frac{2}{3} a b \,x^{3}+a^{2} x"," ",0,"a^2*x+2/3*a*b*x^3+1/5*b^2*x^5","A"
159,1,114,88,0.005000," ","int((b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(d*x+c)^2,x)","\frac{b^{2} x^{4}}{4 d}-\frac{b^{2} c \,x^{3}}{3 d^{2}}+\frac{a b \,x^{2}}{d}+\frac{b^{2} c^{2} x^{2}}{2 d^{3}}+\frac{a^{2} \ln \left(d x +c \right)}{d}+\frac{2 a b \,c^{2} \ln \left(d x +c \right)}{d^{3}}-\frac{2 a b c x}{d^{2}}+\frac{b^{2} c^{4} \ln \left(d x +c \right)}{d^{5}}-\frac{b^{2} c^{3} x}{d^{4}}"," ",0,"1/4*b^2*x^4/d-1/3*b^2*c*x^3/d^2+b/d*x^2*a+1/2*b^2/d^3*x^2*c^2-2*b/d^2*a*c*x-b^2/d^4*c^3*x+1/d*ln(d*x+c)*a^2+2/d^3*ln(d*x+c)*a*b*c^2+1/d^5*ln(d*x+c)*b^2*c^4","A"
160,1,155,13,0.003000," ","int((2*c*x+b)*(c*x^2+b*x)^13,x)","\frac{1}{14} c^{14} x^{28}+b \,c^{13} x^{27}+\frac{13}{2} b^{2} c^{12} x^{26}+26 b^{3} c^{11} x^{25}+\frac{143}{2} b^{4} c^{10} x^{24}+143 b^{5} c^{9} x^{23}+\frac{429}{2} b^{6} c^{8} x^{22}+\frac{1716}{7} b^{7} c^{7} x^{21}+\frac{429}{2} b^{8} c^{6} x^{20}+143 b^{9} c^{5} x^{19}+\frac{143}{2} b^{10} c^{4} x^{18}+26 b^{11} c^{3} x^{17}+\frac{13}{2} b^{12} c^{2} x^{16}+b^{13} c \,x^{15}+\frac{1}{14} b^{14} x^{14}"," ",0,"1/14*c^14*x^28+b*c^13*x^27+13/2*b^2*c^12*x^26+26*b^3*c^11*x^25+143/2*b^4*c^10*x^24+143*b^5*c^9*x^23+429/2*b^6*c^8*x^22+1716/7*b^7*c^7*x^21+429/2*b^8*c^6*x^20+143*b^9*c^5*x^19+143/2*b^10*c^4*x^18+26*b^11*c^3*x^17+13/2*b^12*c^2*x^16+b^13*c*x^15+1/14*b^14*x^14","B"
161,1,157,14,0.002000," ","int(x^14*(2*c*x^2+b)*(c*x^3+b*x)^13,x)","\frac{1}{28} c^{14} x^{56}+\frac{1}{2} b \,c^{13} x^{54}+\frac{13}{4} b^{2} c^{12} x^{52}+13 b^{3} c^{11} x^{50}+\frac{143}{4} b^{4} c^{10} x^{48}+\frac{143}{2} b^{5} c^{9} x^{46}+\frac{429}{4} b^{6} c^{8} x^{44}+\frac{858}{7} b^{7} c^{7} x^{42}+\frac{429}{4} b^{8} c^{6} x^{40}+\frac{143}{2} b^{9} c^{5} x^{38}+\frac{143}{4} b^{10} c^{4} x^{36}+13 b^{11} c^{3} x^{34}+\frac{13}{4} b^{12} c^{2} x^{32}+\frac{1}{2} b^{13} c \,x^{30}+\frac{1}{28} b^{14} x^{28}"," ",0,"1/28*c^14*x^56+1/2*b*c^13*x^54+13/4*b^2*c^12*x^52+13*b^3*c^11*x^50+143/4*b^4*c^10*x^48+143/2*b^5*c^9*x^46+429/4*b^6*c^8*x^44+858/7*b^7*c^7*x^42+429/4*b^8*c^6*x^40+143/2*b^9*c^5*x^38+143/4*b^10*c^4*x^36+13*b^11*c^3*x^34+13/4*b^12*c^2*x^32+1/2*b^13*c*x^30+1/28*b^14*x^28","B"
162,1,157,14,0.002000," ","int(x^28*(2*c*x^3+b)*(c*x^4+b*x)^13,x)","\frac{1}{42} c^{14} x^{84}+\frac{1}{3} b \,c^{13} x^{81}+\frac{13}{6} b^{2} c^{12} x^{78}+\frac{26}{3} b^{3} c^{11} x^{75}+\frac{143}{6} b^{4} c^{10} x^{72}+\frac{143}{3} b^{5} c^{9} x^{69}+\frac{143}{2} b^{6} c^{8} x^{66}+\frac{572}{7} b^{7} c^{7} x^{63}+\frac{143}{2} b^{8} c^{6} x^{60}+\frac{143}{3} b^{9} c^{5} x^{57}+\frac{143}{6} b^{10} c^{4} x^{54}+\frac{26}{3} b^{11} c^{3} x^{51}+\frac{13}{6} b^{12} c^{2} x^{48}+\frac{1}{3} b^{13} c \,x^{45}+\frac{1}{42} b^{14} x^{42}"," ",0,"1/42*c^14*x^84+1/3*b*c^13*x^81+13/6*b^2*c^12*x^78+26/3*b^3*c^11*x^75+143/6*b^4*c^10*x^72+143/3*b^5*c^9*x^69+143/2*b^6*c^8*x^66+572/7*b^7*c^7*x^63+143/2*b^8*c^6*x^60+143/3*b^9*c^5*x^57+143/6*b^10*c^4*x^54+26/3*b^11*c^3*x^51+13/6*b^12*c^2*x^48+1/3*b^13*c*x^45+1/42*b^14*x^42","B"
163,1,230,19,0.052000," ","int(x^(-14+14*n)*(b+2*c*x^n)*(b*x+c*x^(1+n))^13,x)","\frac{b^{14} x^{14 n}}{14 n}+\frac{b^{13} c \,x^{15 n}}{n}+\frac{13 b^{12} c^{2} x^{16 n}}{2 n}+\frac{26 b^{11} c^{3} x^{17 n}}{n}+\frac{143 b^{10} c^{4} x^{18 n}}{2 n}+\frac{143 b^{9} c^{5} x^{19 n}}{n}+\frac{429 b^{8} c^{6} x^{20 n}}{2 n}+\frac{1716 b^{7} c^{7} x^{21 n}}{7 n}+\frac{429 b^{6} c^{8} x^{22 n}}{2 n}+\frac{143 b^{5} c^{9} x^{23 n}}{n}+\frac{143 b^{4} c^{10} x^{24 n}}{2 n}+\frac{26 b^{3} c^{11} x^{25 n}}{n}+\frac{13 b^{2} c^{12} x^{26 n}}{2 n}+\frac{b \,c^{13} x^{27 n}}{n}+\frac{c^{14} x^{28 n}}{14 n}"," ",0,"1/14*c^14/n*(x^n)^28+b*c^13/n*(x^n)^27+13/2*b^2*c^12/n*(x^n)^26+26*b^3*c^11/n*(x^n)^25+143/2*b^4*c^10/n*(x^n)^24+143*b^5*c^9/n*(x^n)^23+429/2*b^6*c^8/n*(x^n)^22+1716/7*b^7*c^7/n*(x^n)^21+429/2*b^8*c^6/n*(x^n)^20+143*b^9*c^5/n*(x^n)^19+143/2*b^10*c^4/n*(x^n)^18+26*b^11*c^3/n*(x^n)^17+13/2*b^12*c^2/n*(x^n)^16+b^13*c/n*(x^n)^15+1/14*b^14/n*(x^n)^14","B"
164,1,9,10,0.000000," ","int((2*c*x+b)/(c*x^2+b*x),x)","\ln \left(\left(c x +b \right) x \right)"," ",0,"ln(x*(c*x+b))","A"
165,1,14,13,0.004000," ","int((2*c*x^2+b)/(c*x^3+b*x),x)","\ln \left(x \right)+\frac{\ln \left(c \,x^{2}+b \right)}{2}"," ",0,"ln(x)+1/2*ln(c*x^2+b)","A"
166,1,14,13,0.006000," ","int((2*c*x^3+b)/(c*x^4+b*x),x)","\ln \left(x \right)+\frac{\ln \left(c \,x^{3}+b \right)}{3}"," ",0,"ln(x)+1/3*ln(c*x^3+b)","A"
167,1,18,15,0.018000," ","int((b+2*c*x^n)/(b*x+c*x^(1+n)),x)","\ln \left(x \right)+\frac{\ln \left(c \,{\mathrm e}^{n \ln \left(x \right)}+b \right)}{n}"," ",0,"ln(x)+1/n*ln(c*exp(n*ln(x))+b)","A"
168,1,177,13,0.018000," ","int((2*c*x+b)/(c*x^2+b*x)^8,x)","\frac{c^{7}}{7 \left(c x +b \right)^{7} b^{7}}+\frac{c^{7}}{\left(c x +b \right)^{6} b^{8}}+\frac{4 c^{7}}{\left(c x +b \right)^{5} b^{9}}+\frac{12 c^{7}}{\left(c x +b \right)^{4} b^{10}}+\frac{30 c^{7}}{\left(c x +b \right)^{3} b^{11}}+\frac{66 c^{7}}{\left(c x +b \right)^{2} b^{12}}+\frac{132 c^{7}}{\left(c x +b \right) b^{13}}-\frac{132 c^{6}}{b^{13} x}+\frac{66 c^{5}}{b^{12} x^{2}}-\frac{30 c^{4}}{b^{11} x^{3}}+\frac{12 c^{3}}{b^{10} x^{4}}-\frac{4 c^{2}}{b^{9} x^{5}}+\frac{c}{b^{8} x^{6}}-\frac{1}{7 b^{7} x^{7}}"," ",0,"132/b^13*c^7/(c*x+b)+66/b^12*c^7/(c*x+b)^2+30/b^11*c^7/(c*x+b)^3+12/b^10*c^7/(c*x+b)^4+4/b^9*c^7/(c*x+b)^5+1/b^8*c^7/(c*x+b)^6+1/7/b^7*c^7/(c*x+b)^7-1/7/b^7/x^7-132/b^13*c^6/x+66/b^12*c^5/x^2-30/b^11*c^4/x^3+12/b^10*c^3/x^4-4/b^9*c^2/x^5+1/b^8*c/x^6","B"
169,1,197,14,0.019000," ","int((2*c*x^2+b)/x^7/(c*x^3+b*x)^8,x)","-\frac{\left(-\frac{b^{6}}{7 \left(c \,x^{2}+b \right)^{7} c}-\frac{b^{5}}{\left(c \,x^{2}+b \right)^{6} c}-\frac{4 b^{4}}{\left(c \,x^{2}+b \right)^{5} c}-\frac{12 b^{3}}{\left(c \,x^{2}+b \right)^{4} c}-\frac{30 b^{2}}{\left(c \,x^{2}+b \right)^{3} c}-\frac{66 b}{\left(c \,x^{2}+b \right)^{2} c}-\frac{132}{\left(c \,x^{2}+b \right) c}\right) c^{8}}{2 b^{13}}-\frac{66 c^{6}}{b^{13} x^{2}}+\frac{33 c^{5}}{b^{12} x^{4}}-\frac{15 c^{4}}{b^{11} x^{6}}+\frac{6 c^{3}}{b^{10} x^{8}}-\frac{2 c^{2}}{b^{9} x^{10}}+\frac{c}{2 b^{8} x^{12}}-\frac{1}{14 b^{7} x^{14}}"," ",0,"-1/2/b^13*c^8*(-1/7*b^6/c/(c*x^2+b)^7-b^5/c/(c*x^2+b)^6-132/c/(c*x^2+b)-66*b/c/(c*x^2+b)^2-4*b^4/c/(c*x^2+b)^5-30*b^2/c/(c*x^2+b)^3-12*b^3/c/(c*x^2+b)^4)-1/14/b^7/x^14-66/b^13*c^6/x^2+33/b^12*c^5/x^4-15/b^11*c^4/x^6+6/b^10*c^3/x^8-2/b^9*c^2/x^10+1/2/b^8*c/x^12","B"
170,1,197,14,0.016000," ","int((2*c*x^3+b)/x^14/(c*x^4+b*x)^8,x)","-\frac{\left(-\frac{b^{6}}{7 \left(c \,x^{3}+b \right)^{7} c}-\frac{b^{5}}{\left(c \,x^{3}+b \right)^{6} c}-\frac{4 b^{4}}{\left(c \,x^{3}+b \right)^{5} c}-\frac{12 b^{3}}{\left(c \,x^{3}+b \right)^{4} c}-\frac{30 b^{2}}{\left(c \,x^{3}+b \right)^{3} c}-\frac{66 b}{\left(c \,x^{3}+b \right)^{2} c}-\frac{132}{\left(c \,x^{3}+b \right) c}\right) c^{8}}{3 b^{13}}-\frac{44 c^{6}}{b^{13} x^{3}}+\frac{22 c^{5}}{b^{12} x^{6}}-\frac{10 c^{4}}{b^{11} x^{9}}+\frac{4 c^{3}}{b^{10} x^{12}}-\frac{4 c^{2}}{3 b^{9} x^{15}}+\frac{c}{3 b^{8} x^{18}}-\frac{1}{21 b^{7} x^{21}}"," ",0,"-1/3*c^8/b^13*(-1/7*b^6/c/(c*x^3+b)^7-b^5/c/(c*x^3+b)^6-132/c/(c*x^3+b)-66*b/c/(c*x^3+b)^2-4*b^4/c/(c*x^3+b)^5-30*b^2/c/(c*x^3+b)^3-12*b^3/c/(c*x^3+b)^4)-1/21/b^7/x^21-44/b^13*c^6/x^3+22/b^12*c^5/x^6-10/b^11*c^4/x^9+4/b^10*c^3/x^12-4/3/b^9*c^2/x^15+1/3/b^8*c/x^18","B"
171,1,203,21,0.064000," ","int((b+2*c*x^n)/(x^(-7+7*n))/(b*x+c*x^(1+n))^8,x)","-\frac{x^{-7 n}}{7 b^{7} n}+\frac{c \,x^{-6 n}}{b^{8} n}-\frac{4 c^{2} x^{-5 n}}{b^{9} n}+\frac{12 c^{3} x^{-4 n}}{b^{10} n}-\frac{30 c^{4} x^{-3 n}}{b^{11} n}+\frac{66 c^{5} x^{-2 n}}{b^{12} n}+\frac{\left(9009 b^{5} c \,x^{n}+20020 b^{4} c^{2} x^{2 n}+24024 b^{3} c^{3} x^{3 n}+16380 b^{2} c^{4} x^{4 n}+6006 b \,c^{5} x^{5 n}+924 c^{6} x^{6 n}+1716 b^{6}\right) c^{7}}{7 \left(c \,x^{n}+b \right)^{7} b^{13} n}-\frac{132 c^{6} x^{-n}}{b^{13} n}"," ",0,"-132/b^13*c^6/n/(x^n)+66/b^12*c^5/n/(x^n)^2-30/b^11*c^4/n/(x^n)^3+12/b^10*c^3/n/(x^n)^4-4/b^9*c^2/n/(x^n)^5+1/b^8*c/n/(x^n)^6-1/7/b^7/n/(x^n)^7+1/7*c^7*(924*(x^n)^6*c^6+6006*b*c^5*(x^n)^5+16380*b^2*c^4*(x^n)^4+24024*b^3*c^3*(x^n)^3+20020*b^4*c^2*(x^n)^2+9009*b^5*c*x^n+1716*b^6)/b^13/n/(b+c*x^n)^7","B"
172,1,24,19,0.005000," ","int((2*c*x+b)*(c*x^2+b*x)^p,x)","\frac{\left(c x +b \right) x \left(c \,x^{2}+b x \right)^{p}}{p +1}"," ",0,"(c*x+b)*x/(1+p)*(c*x^2+b*x)^p","A"
173,1,31,25,0.004000," ","int(x^(p+1)*(2*c*x^2+b)*(c*x^3+b*x)^p,x)","\frac{\left(c \,x^{2}+b \right) x^{p +2} \left(c \,x^{3}+b x \right)^{p}}{2+2 p}"," ",0,"1/2*x^(2+p)*(c*x^2+b)/(p+1)*(c*x^3+b*x)^p","A"
174,1,142,25,0.259000," ","int(b*x^(p+1)*(c*x^3+b*x)^p+2*c*x^(3+p)*(c*x^3+b*x)^p,x)","\frac{\left(c \,x^{2}+b \right) x \,x^{p +1} {\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(c \,x^{2}+b \right)\right) \mathrm{csgn}\left(i \left(c \,x^{2}+b \right) x \right)+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i \left(c \,x^{2}+b \right) x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(c \,x^{2}+b \right)\right) \mathrm{csgn}\left(i \left(c \,x^{2}+b \right) x \right)^{2}-i \pi  \mathrm{csgn}\left(i \left(c \,x^{2}+b \right) x \right)^{3}+2 \ln \left(x \right)+2 \ln \left(c \,x^{2}+b \right)\right) p}{2}}}{2+2 p}"," ",0,"1/2*(c*x^2+b)*x*x^(p+1)/(p+1)*exp(1/2*p*(-I*csgn(I*x*(c*x^2+b))^3*Pi+I*csgn(I*x*(c*x^2+b))^2*csgn(I*x)*Pi+I*csgn(I*x*(c*x^2+b))^2*csgn(I*(c*x^2+b))*Pi-I*csgn(I*x*(c*x^2+b))*csgn(I*x)*csgn(I*(c*x^2+b))*Pi+2*ln(x)+2*ln(c*x^2+b)))","C"
175,1,33,27,0.005000," ","int(x^(2+2*p)*(2*c*x^3+b)*(c*x^4+b*x)^p,x)","\frac{\left(c \,x^{3}+b \right) x^{2 p +3} \left(c \,x^{4}+b x \right)^{p}}{3+3 p}"," ",0,"1/3*x^(3+2*p)*(c*x^3+b)/(p+1)*(c*x^4+b*x)^p","A"
176,0,0,37,0.135000," ","int(x^((-1+n)*(p+1))*(b+2*c*x^n)*(b*x+c*x^(1+n))^p,x)","\int \left(2 c \,x^{n}+b \right) x^{\left(n -1\right) \left(p +1\right)} \left(b x +c \,x^{n +1}\right)^{p}\, dx"," ",0,"int(x^((-1+n)*(p+1))*(b+2*c*x^n)*(b*x+c*x^(1+n))^p,x)","F"
177,1,27,26,0.001000," ","int((b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(b*x^2+a),x)","\frac{1}{4} b d \,x^{4}+\frac{1}{3} b c \,x^{3}+\frac{1}{2} a d \,x^{2}+a c x"," ",0,"a*c*x+1/2*a*d*x^2+1/3*b*c*x^3+1/4*b*d*x^4","A"
178,1,11,10,0.001000," ","int((b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(b*x^2+a)^2,x)","\frac{1}{2} d \,x^{2}+c x"," ",0,"c*x+1/2*d*x^2","A"
179,1,32,32,0.005000," ","int((b^2*d*x^5+b^2*c*x^4+2*a*b*d*x^3+2*a*b*c*x^2+a^2*d*x+a^2*c)/(b*x^2+a)^3,x)","\frac{c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}+\frac{d \ln \left(b \,x^{2}+a \right)}{2 b}"," ",0,"1/2*d*ln(b*x^2+a)/b+c/(a*b)^(1/2)*arctan(b*x/(a*b)^(1/2))","A"
180,1,26,25,0.003000," ","int((3*d*x^2+2*c*x+b)*(d*x^3+c*x^2+b*x+a)^n,x)","\frac{\left(d \,x^{3}+c \,x^{2}+b x +a \right)^{n +1}}{n +1}"," ",0,"(d*x^3+c*x^2+b*x+a)^(n+1)/(n+1)","A"
181,1,34,24,0.005000," ","int((3*d*x^2+2*c*x+b)*(d*x^3+c*x^2+b*x)^n,x)","\frac{\left(d \,x^{2}+c x +b \right) x \left(d \,x^{3}+c \,x^{2}+b x \right)^{n}}{n +1}"," ",0,"x*(d*x^2+c*x+b)/(n+1)*(d*x^3+c*x^2+b*x)^n","A"
182,1,26,25,0.006000," ","int(x^n*(d*x^2+c*x+b)^n*(3*d*x^2+2*c*x+b),x)","\frac{x^{n +1} \left(d \,x^{2}+c x +b \right)^{n +1}}{n +1}"," ",0,"x^(n+1)*(d*x^2+c*x+b)^(n+1)/(n+1)","A"
183,1,21,20,0.004000," ","int((3*d*x^2+b)*(d*x^3+b*x+a)^n,x)","\frac{\left(d \,x^{3}+b x +a \right)^{n +1}}{n +1}"," ",0,"(d*x^3+b*x+a)^(n+1)/(n+1)","A"
184,1,26,19,0.005000," ","int((3*d*x^2+b)*(d*x^3+b*x)^n,x)","\frac{\left(d \,x^{2}+b \right) x \left(d \,x^{3}+b x \right)^{n}}{n +1}"," ",0,"x*(d*x^2+b)/(n+1)*(d*x^3+b*x)^n","A"
185,1,23,22,0.003000," ","int(x^n*(d*x^2+b)^n*(3*d*x^2+b),x)","\frac{x^{n +1} \left(d \,x^{2}+b \right)^{n +1}}{n +1}"," ",0,"x^(n+1)*(d*x^2+b)^(n+1)/(n+1)","A"
186,1,23,22,0.004000," ","int((3*d*x^2+2*c*x)*(d*x^3+c*x^2+a)^n,x)","\frac{\left(d \,x^{3}+c \,x^{2}+a \right)^{n +1}}{n +1}"," ",0,"(d*x^3+c*x^2+a)^(n+1)/(n+1)","A"
187,1,28,21,0.004000," ","int((3*d*x^2+2*c*x)*(d*x^3+c*x^2)^n,x)","\frac{\left(d x +c \right) x^{2} \left(d \,x^{3}+c \,x^{2}\right)^{n}}{n +1}"," ",0,"(d*x^3+c*x^2)^n*x^2*(d*x+c)/(n+1)","A"
188,1,28,24,0.003000," ","int(x^n*(d*x^2+c*x)^n*(3*d*x^2+2*c*x),x)","\frac{\left(d x +c \right) x^{n +2} \left(d \,x^{2}+c x \right)^{n}}{n +1}"," ",0,"(d*x^2+c*x)^n*x^(2+n)*(d*x+c)/(n+1)","A"
189,1,23,22,0.005000," ","int(x^(2*n)*(d*x+c)^n*(3*d*x^2+2*c*x),x)","\frac{x^{2 n +2} \left(d x +c \right)^{n +1}}{n +1}"," ",0,"x^(2+2*n)*(d*x+c)^(n+1)/(n+1)","A"
190,1,23,22,0.004000," ","int(x*(3*d*x+2*c)*(d*x^3+c*x^2+a)^n,x)","\frac{\left(d \,x^{3}+c \,x^{2}+a \right)^{n +1}}{n +1}"," ",0,"1/(n+1)*(d*x^3+c*x^2+a)^(n+1)","A"
191,1,28,21,0.003000," ","int(x*(3*d*x+2*c)*(d*x^3+c*x^2)^n,x)","\frac{\left(d x +c \right) x^{2} \left(d \,x^{3}+c \,x^{2}\right)^{n}}{n +1}"," ",0,"(d*x+c)/(n+1)*x^2*(d*x^3+c*x^2)^n","A"
192,1,25686,19,0.004000," ","int((3*d*x^2+2*c*x+b)*(d*x^3+c*x^2+b*x+a)^7,x)","\text{output too large to display}"," ",0,"result too large to display","B"
193,1,5596,18,0.002000," ","int((3*d*x^2+2*c*x+b)*(d*x^3+c*x^2+b*x)^7,x)","\text{output too large to display}"," ",0,"result too large to display","B"
194,1,5596,17,0.002000," ","int(x^7*(d*x^2+c*x+b)^7*(3*d*x^2+2*c*x+b),x)","\text{output too large to display}"," ",0,"result too large to display","B"
195,1,2185,14,0.001000," ","int((3*d*x^2+b)*(d*x^3+b*x+a)^7,x)","\frac{d^{8} x^{24}}{8}+b \,d^{7} x^{22}+a \,d^{7} x^{21}+\frac{7 b^{2} d^{6} x^{20}}{2}+7 a b \,d^{6} x^{19}+21 a \,b^{2} d^{5} x^{17}+\frac{\left(21 b^{3} d^{5}+3 \left(6 a^{2} d^{5}+15 b^{3} d^{4}+\left(9 a^{2} d^{4}+18 b^{3} d^{3}+2 \left(3 d \,a^{2}+b^{3}\right) d^{3}\right) d \right) d \right) x^{18}}{18}+\frac{\left(\left(6 a^{2} d^{5}+15 b^{3} d^{4}+\left(9 a^{2} d^{4}+18 b^{3} d^{3}+2 \left(3 d \,a^{2}+b^{3}\right) d^{3}\right) d \right) b +3 \left(30 a^{2} b \,d^{4}+\left(9 a^{2} d^{4}+18 b^{3} d^{3}+2 \left(3 d \,a^{2}+b^{3}\right) d^{3}\right) b +\left(42 a^{2} b \,d^{3}+9 b^{4} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) b \,d^{2}\right) d \right) d \right) x^{16}}{16}+\frac{\left(105 a \,b^{3} d^{4}+3 \left(60 a \,b^{3} d^{3}+\left(9 a^{2} d^{4}+18 b^{3} d^{3}+2 \left(3 d \,a^{2}+b^{3}\right) d^{3}\right) a +\left(2 a^{3} d^{3}+54 a \,b^{3} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) a \,d^{2}\right) d \right) d \right) x^{15}}{15}+\frac{\left(\left(30 a^{2} b \,d^{4}+\left(9 a^{2} d^{4}+18 b^{3} d^{3}+2 \left(3 d \,a^{2}+b^{3}\right) d^{3}\right) b +\left(42 a^{2} b \,d^{3}+9 b^{4} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) b \,d^{2}\right) d \right) b +3 \left(60 a^{2} b^{2} d^{3}+\left(42 a^{2} b \,d^{3}+9 b^{4} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) b \,d^{2}\right) b +\left(72 a^{2} b^{2} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) b^{2} d \right) d \right) d \right) x^{14}}{14}+\frac{\left(\left(60 a \,b^{3} d^{3}+\left(9 a^{2} d^{4}+18 b^{3} d^{3}+2 \left(3 d \,a^{2}+b^{3}\right) d^{3}\right) a +\left(2 a^{3} d^{3}+54 a \,b^{3} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) a \,d^{2}\right) d \right) b +3 \left(\left(42 a^{2} b \,d^{3}+9 b^{4} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) b \,d^{2}\right) a +\left(2 a^{3} d^{3}+54 a \,b^{3} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) a \,d^{2}\right) b +\left(24 a^{3} b \,d^{2}+18 a \,b^{4} d +12 \left(3 d \,a^{2}+b^{3}\right) a b d \right) d \right) d \right) x^{13}}{13}+\frac{\left(\left(60 a^{2} b^{2} d^{3}+\left(42 a^{2} b \,d^{3}+9 b^{4} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) b \,d^{2}\right) b +\left(72 a^{2} b^{2} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) b^{2} d \right) d \right) b +3 \left(\left(2 a^{3} d^{3}+54 a \,b^{3} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) a \,d^{2}\right) a +\left(72 a^{2} b^{2} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) b^{2} d \right) b +\left(6 a^{4} d^{2}+54 a^{2} b^{3} d +\left(3 d \,a^{2}+b^{3}\right)^{2}\right) d \right) d \right) x^{12}}{12}+\frac{\left(\left(\left(42 a^{2} b \,d^{3}+9 b^{4} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) b \,d^{2}\right) a +\left(2 a^{3} d^{3}+54 a \,b^{3} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) a \,d^{2}\right) b +\left(24 a^{3} b \,d^{2}+18 a \,b^{4} d +12 \left(3 d \,a^{2}+b^{3}\right) a b d \right) d \right) b +3 \left(\left(72 a^{2} b^{2} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) b^{2} d \right) a +\left(24 a^{3} b \,d^{2}+18 a \,b^{4} d +12 \left(3 d \,a^{2}+b^{3}\right) a b d \right) b +\left(42 a^{3} b^{2} d +6 \left(3 d \,a^{2}+b^{3}\right) a \,b^{2}\right) d \right) d \right) x^{11}}{11}+\frac{7 a^{6} b^{2} x^{2}}{2}+\frac{\left(\left(\left(2 a^{3} d^{3}+54 a \,b^{3} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) a \,d^{2}\right) a +\left(72 a^{2} b^{2} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) b^{2} d \right) b +\left(6 a^{4} d^{2}+54 a^{2} b^{3} d +\left(3 d \,a^{2}+b^{3}\right)^{2}\right) d \right) b +3 \left(\left(24 a^{3} b \,d^{2}+18 a \,b^{4} d +12 \left(3 d \,a^{2}+b^{3}\right) a b d \right) a +\left(6 a^{4} d^{2}+54 a^{2} b^{3} d +\left(3 d \,a^{2}+b^{3}\right)^{2}\right) b +\left(12 a^{4} b d +9 a^{2} b^{4}+6 \left(3 d \,a^{2}+b^{3}\right) a^{2} b \right) d \right) d \right) x^{10}}{10}+a^{7} b x +\frac{\left(\left(\left(72 a^{2} b^{2} d^{2}+6 \left(3 d \,a^{2}+b^{3}\right) b^{2} d \right) a +\left(24 a^{3} b \,d^{2}+18 a \,b^{4} d +12 \left(3 d \,a^{2}+b^{3}\right) a b d \right) b +\left(42 a^{3} b^{2} d +6 \left(3 d \,a^{2}+b^{3}\right) a \,b^{2}\right) d \right) b +3 \left(\left(6 a^{4} d^{2}+54 a^{2} b^{3} d +\left(3 d \,a^{2}+b^{3}\right)^{2}\right) a +\left(42 a^{3} b^{2} d +6 \left(3 d \,a^{2}+b^{3}\right) a \,b^{2}\right) b +\left(18 a^{3} b^{3}+2 \left(3 d \,a^{2}+b^{3}\right) a^{3}\right) d \right) d \right) x^{9}}{9}+\frac{\left(\left(\left(24 a^{3} b \,d^{2}+18 a \,b^{4} d +12 \left(3 d \,a^{2}+b^{3}\right) a b d \right) a +\left(6 a^{4} d^{2}+54 a^{2} b^{3} d +\left(3 d \,a^{2}+b^{3}\right)^{2}\right) b +\left(12 a^{4} b d +9 a^{2} b^{4}+6 \left(3 d \,a^{2}+b^{3}\right) a^{2} b \right) d \right) b +3 \left(15 a^{4} b^{2} d +\left(42 a^{3} b^{2} d +6 \left(3 d \,a^{2}+b^{3}\right) a \,b^{2}\right) a +\left(12 a^{4} b d +9 a^{2} b^{4}+6 \left(3 d \,a^{2}+b^{3}\right) a^{2} b \right) b \right) d \right) x^{8}}{8}+\frac{\left(\left(\left(6 a^{4} d^{2}+54 a^{2} b^{3} d +\left(3 d \,a^{2}+b^{3}\right)^{2}\right) a +\left(42 a^{3} b^{2} d +6 \left(3 d \,a^{2}+b^{3}\right) a \,b^{2}\right) b +\left(18 a^{3} b^{3}+2 \left(3 d \,a^{2}+b^{3}\right) a^{3}\right) d \right) b +3 \left(6 a^{5} b d +\left(12 a^{4} b d +9 a^{2} b^{4}+6 \left(3 d \,a^{2}+b^{3}\right) a^{2} b \right) a +\left(18 a^{3} b^{3}+2 \left(3 d \,a^{2}+b^{3}\right) a^{3}\right) b \right) d \right) x^{7}}{7}+\frac{\left(\left(15 a^{4} b^{2} d +\left(42 a^{3} b^{2} d +6 \left(3 d \,a^{2}+b^{3}\right) a \,b^{2}\right) a +\left(12 a^{4} b d +9 a^{2} b^{4}+6 \left(3 d \,a^{2}+b^{3}\right) a^{2} b \right) b \right) b +3 \left(a^{6} d +15 a^{4} b^{3}+\left(18 a^{3} b^{3}+2 \left(3 d \,a^{2}+b^{3}\right) a^{3}\right) a \right) d \right) x^{6}}{6}+\frac{\left(63 a^{5} b^{2} d +\left(6 a^{5} b d +\left(12 a^{4} b d +9 a^{2} b^{4}+6 \left(3 d \,a^{2}+b^{3}\right) a^{2} b \right) a +\left(18 a^{3} b^{3}+2 \left(3 d \,a^{2}+b^{3}\right) a^{3}\right) b \right) b \right) x^{5}}{5}+\frac{\left(21 a^{6} b d +\left(a^{6} d +15 a^{4} b^{3}+\left(18 a^{3} b^{3}+2 \left(3 d \,a^{2}+b^{3}\right) a^{3}\right) a \right) b \right) x^{4}}{4}+\frac{\left(3 d \,a^{7}+21 b^{3} a^{5}\right) x^{3}}{3}"," ",0,"1/8*d^8*x^24+b*d^7*x^22+d^7*a*x^21+7/2*b^2*d^6*x^20+7*b*a*d^6*x^19+1/18*(21*b^3*d^5+3*d*(6*a^2*d^5+15*b^3*d^4+d*(2*(3*a^2*d+b^3)*d^3+18*b^3*d^3+9*a^2*d^4)))*x^18+21*b^2*a*d^5*x^17+1/16*(b*(6*a^2*d^5+15*b^3*d^4+d*(2*(3*a^2*d+b^3)*d^3+18*b^3*d^3+9*a^2*d^4))+3*d*(30*a^2*d^4*b+b*(2*(3*a^2*d+b^3)*d^3+18*b^3*d^3+9*a^2*d^4)+d*(42*b*a^2*d^3+6*(3*a^2*d+b^3)*b*d^2+9*d^2*b^4)))*x^16+1/15*(105*b^3*a*d^4+3*d*(a*(2*(3*a^2*d+b^3)*d^3+18*b^3*d^3+9*a^2*d^4)+60*b^3*a*d^3+d*(2*a^3*d^3+54*b^3*a*d^2+6*(3*a^2*d+b^3)*a*d^2)))*x^15+1/14*(b*(30*a^2*d^4*b+b*(2*(3*a^2*d+b^3)*d^3+18*b^3*d^3+9*a^2*d^4)+d*(42*b*a^2*d^3+6*(3*a^2*d+b^3)*b*d^2+9*d^2*b^4))+3*d*(60*a^2*b^2*d^3+b*(42*b*a^2*d^3+6*(3*a^2*d+b^3)*b*d^2+9*d^2*b^4)+d*(72*b^2*a^2*d^2+6*(3*a^2*d+b^3)*d*b^2)))*x^14+1/13*(b*(a*(2*(3*a^2*d+b^3)*d^3+18*b^3*d^3+9*a^2*d^4)+60*b^3*a*d^3+d*(2*a^3*d^3+54*b^3*a*d^2+6*(3*a^2*d+b^3)*a*d^2))+3*d*(a*(42*b*a^2*d^3+6*(3*a^2*d+b^3)*b*d^2+9*d^2*b^4)+b*(2*a^3*d^3+54*b^3*a*d^2+6*(3*a^2*d+b^3)*a*d^2)+d*(24*a^3*b*d^2+18*b^4*a*d+12*(3*a^2*d+b^3)*d*a*b)))*x^13+1/12*(b*(60*a^2*b^2*d^3+b*(42*b*a^2*d^3+6*(3*a^2*d+b^3)*b*d^2+9*d^2*b^4)+d*(72*b^2*a^2*d^2+6*(3*a^2*d+b^3)*d*b^2))+3*d*(a*(2*a^3*d^3+54*b^3*a*d^2+6*(3*a^2*d+b^3)*a*d^2)+b*(72*b^2*a^2*d^2+6*(3*a^2*d+b^3)*d*b^2)+d*(6*a^4*d^2+54*b^3*a^2*d+(3*a^2*d+b^3)^2)))*x^12+1/11*(b*(a*(42*b*a^2*d^3+6*(3*a^2*d+b^3)*b*d^2+9*d^2*b^4)+b*(2*a^3*d^3+54*b^3*a*d^2+6*(3*a^2*d+b^3)*a*d^2)+d*(24*a^3*b*d^2+18*b^4*a*d+12*(3*a^2*d+b^3)*d*a*b))+3*d*(a*(72*b^2*a^2*d^2+6*(3*a^2*d+b^3)*d*b^2)+b*(24*a^3*b*d^2+18*b^4*a*d+12*(3*a^2*d+b^3)*d*a*b)+d*(42*a^3*d*b^2+6*b^2*a*(3*a^2*d+b^3))))*x^11+1/10*(b*(a*(2*a^3*d^3+54*b^3*a*d^2+6*(3*a^2*d+b^3)*a*d^2)+b*(72*b^2*a^2*d^2+6*(3*a^2*d+b^3)*d*b^2)+d*(6*a^4*d^2+54*b^3*a^2*d+(3*a^2*d+b^3)^2))+3*d*(a*(24*a^3*b*d^2+18*b^4*a*d+12*(3*a^2*d+b^3)*d*a*b)+b*(6*a^4*d^2+54*b^3*a^2*d+(3*a^2*d+b^3)^2)+d*(12*a^4*d*b+6*b*a^2*(3*a^2*d+b^3)+9*b^4*a^2)))*x^10+1/9*(b*(a*(72*b^2*a^2*d^2+6*(3*a^2*d+b^3)*d*b^2)+b*(24*a^3*b*d^2+18*b^4*a*d+12*(3*a^2*d+b^3)*d*a*b)+d*(42*a^3*d*b^2+6*b^2*a*(3*a^2*d+b^3)))+3*d*(a*(6*a^4*d^2+54*b^3*a^2*d+(3*a^2*d+b^3)^2)+b*(42*a^3*d*b^2+6*b^2*a*(3*a^2*d+b^3))+d*(2*a^3*(3*a^2*d+b^3)+18*b^3*a^3)))*x^9+1/8*(b*(a*(24*a^3*b*d^2+18*b^4*a*d+12*(3*a^2*d+b^3)*d*a*b)+b*(6*a^4*d^2+54*b^3*a^2*d+(3*a^2*d+b^3)^2)+d*(12*a^4*d*b+6*b*a^2*(3*a^2*d+b^3)+9*b^4*a^2))+3*d*(a*(42*a^3*d*b^2+6*b^2*a*(3*a^2*d+b^3))+b*(12*a^4*d*b+6*b*a^2*(3*a^2*d+b^3)+9*b^4*a^2)+15*d*b^2*a^4))*x^8+1/7*(b*(a*(6*a^4*d^2+54*b^3*a^2*d+(3*a^2*d+b^3)^2)+b*(42*a^3*d*b^2+6*b^2*a*(3*a^2*d+b^3))+d*(2*a^3*(3*a^2*d+b^3)+18*b^3*a^3))+3*d*(a*(12*a^4*d*b+6*b*a^2*(3*a^2*d+b^3)+9*b^4*a^2)+b*(2*a^3*(3*a^2*d+b^3)+18*b^3*a^3)+6*d*a^5*b))*x^7+1/6*(b*(a*(42*a^3*d*b^2+6*b^2*a*(3*a^2*d+b^3))+b*(12*a^4*d*b+6*b*a^2*(3*a^2*d+b^3)+9*b^4*a^2)+15*d*b^2*a^4)+3*d*(a*(2*a^3*(3*a^2*d+b^3)+18*b^3*a^3)+15*b^3*a^4+d*a^6))*x^6+1/5*(b*(a*(12*a^4*d*b+6*b*a^2*(3*a^2*d+b^3)+9*b^4*a^2)+b*(2*a^3*(3*a^2*d+b^3)+18*b^3*a^3)+6*d*a^5*b)+63*d*b^2*a^5)*x^5+1/4*(b*(a*(2*a^3*(3*a^2*d+b^3)+18*b^3*a^3)+15*b^3*a^4+d*a^6)+21*d*a^6*b)*x^4+1/3*(3*a^7*d+21*a^5*b^3)*x^3+7/2*b^2*a^6*x^2+b*a^7*x","B"
196,1,89,13,0.000000," ","int((3*d*x^2+b)*(d*x^3+b*x)^7,x)","\frac{1}{8} d^{8} x^{24}+b \,d^{7} x^{22}+\frac{7}{2} b^{2} d^{6} x^{20}+7 b^{3} d^{5} x^{18}+\frac{35}{4} b^{4} d^{4} x^{16}+7 b^{5} d^{3} x^{14}+\frac{7}{2} b^{6} d^{2} x^{12}+b^{7} d \,x^{10}+\frac{1}{8} b^{8} x^{8}"," ",0,"1/8*d^8*x^24+b*d^7*x^22+7/2*b^2*d^6*x^20+7*b^3*d^5*x^18+35/4*b^4*d^4*x^16+7*b^5*d^3*x^14+7/2*b^6*d^2*x^12+d*b^7*x^10+1/8*b^8*x^8","B"
197,1,89,14,0.000000," ","int(x^7*(d*x^2+b)^7*(3*d*x^2+b),x)","\frac{1}{8} d^{8} x^{24}+b \,d^{7} x^{22}+\frac{7}{2} b^{2} d^{6} x^{20}+7 b^{3} d^{5} x^{18}+\frac{35}{4} b^{4} d^{4} x^{16}+7 b^{5} d^{3} x^{14}+\frac{7}{2} b^{6} d^{2} x^{12}+b^{7} d \,x^{10}+\frac{1}{8} b^{8} x^{8}"," ",0,"1/8*d^8*x^24+b*d^7*x^22+7/2*b^2*d^6*x^20+7*b^3*d^5*x^18+35/4*b^4*d^4*x^16+7*b^5*d^3*x^14+7/2*b^6*d^2*x^12+b^7*d*x^10+1/8*b^8*x^8","B"
198,1,2205,16,0.003000," ","int((3*d*x^2+2*c*x)*(d*x^3+c*x^2+a)^7,x)","\frac{d^{8} x^{24}}{8}+c \,d^{7} x^{23}+\frac{7 c^{2} d^{6} x^{22}}{2}+\frac{\left(42 c^{3} d^{5}+3 \left(a \,d^{6}+15 c^{3} d^{4}+\left(18 c^{3} d^{3}+2 \left(3 a \,d^{2}+c^{3}\right) d^{3}\right) d \right) d \right) x^{21}}{21}+\frac{\left(2 \left(a \,d^{6}+15 c^{3} d^{4}+\left(18 c^{3} d^{3}+2 \left(3 a \,d^{2}+c^{3}\right) d^{3}\right) d \right) c +3 \left(6 a c \,d^{5}+\left(18 c^{3} d^{3}+2 \left(3 a \,d^{2}+c^{3}\right) d^{3}\right) c +\left(12 a c \,d^{4}+9 c^{4} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) c \,d^{2}\right) d \right) d \right) x^{20}}{20}+\frac{\left(2 \left(6 a c \,d^{5}+\left(18 c^{3} d^{3}+2 \left(3 a \,d^{2}+c^{3}\right) d^{3}\right) c +\left(12 a c \,d^{4}+9 c^{4} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) c \,d^{2}\right) d \right) c +3 \left(15 a \,c^{2} d^{4}+\left(12 a c \,d^{4}+9 c^{4} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) c \,d^{2}\right) c +\left(42 a \,c^{2} d^{3}+6 \left(3 a \,d^{2}+c^{3}\right) c^{2} d \right) d \right) d \right) x^{19}}{19}+\frac{\left(2 \left(15 a \,c^{2} d^{4}+\left(12 a c \,d^{4}+9 c^{4} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) c \,d^{2}\right) c +\left(42 a \,c^{2} d^{3}+6 \left(3 a \,d^{2}+c^{3}\right) c^{2} d \right) d \right) c +3 \left(\left(18 c^{3} d^{3}+2 \left(3 a \,d^{2}+c^{3}\right) d^{3}\right) a +\left(42 a \,c^{2} d^{3}+6 \left(3 a \,d^{2}+c^{3}\right) c^{2} d \right) c +\left(6 a^{2} d^{4}+54 a \,c^{3} d^{2}+\left(3 a \,d^{2}+c^{3}\right)^{2}\right) d \right) d \right) x^{18}}{18}+\frac{\left(2 \left(\left(18 c^{3} d^{3}+2 \left(3 a \,d^{2}+c^{3}\right) d^{3}\right) a +\left(42 a \,c^{2} d^{3}+6 \left(3 a \,d^{2}+c^{3}\right) c^{2} d \right) c +\left(6 a^{2} d^{4}+54 a \,c^{3} d^{2}+\left(3 a \,d^{2}+c^{3}\right)^{2}\right) d \right) c +3 \left(\left(12 a c \,d^{4}+9 c^{4} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) c \,d^{2}\right) a +\left(6 a^{2} d^{4}+54 a \,c^{3} d^{2}+\left(3 a \,d^{2}+c^{3}\right)^{2}\right) c +\left(24 a^{2} c \,d^{3}+18 a \,c^{4} d +12 \left(3 a \,d^{2}+c^{3}\right) a c d \right) d \right) d \right) x^{17}}{17}+\frac{\left(2 \left(\left(12 a c \,d^{4}+9 c^{4} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) c \,d^{2}\right) a +\left(6 a^{2} d^{4}+54 a \,c^{3} d^{2}+\left(3 a \,d^{2}+c^{3}\right)^{2}\right) c +\left(24 a^{2} c \,d^{3}+18 a \,c^{4} d +12 \left(3 a \,d^{2}+c^{3}\right) a c d \right) d \right) c +3 \left(\left(42 a \,c^{2} d^{3}+6 \left(3 a \,d^{2}+c^{3}\right) c^{2} d \right) a +\left(24 a^{2} c \,d^{3}+18 a \,c^{4} d +12 \left(3 a \,d^{2}+c^{3}\right) a c d \right) c +\left(72 a^{2} c^{2} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) a \,c^{2}\right) d \right) d \right) x^{16}}{16}+21 a^{5} c^{2} d \,x^{7}+\frac{\left(2 \left(\left(42 a \,c^{2} d^{3}+6 \left(3 a \,d^{2}+c^{3}\right) c^{2} d \right) a +\left(24 a^{2} c \,d^{3}+18 a \,c^{4} d +12 \left(3 a \,d^{2}+c^{3}\right) a c d \right) c +\left(72 a^{2} c^{2} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) a \,c^{2}\right) d \right) c +3 \left(\left(6 a^{2} d^{4}+54 a \,c^{3} d^{2}+\left(3 a \,d^{2}+c^{3}\right)^{2}\right) a +\left(72 a^{2} c^{2} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) a \,c^{2}\right) c +\left(2 a^{3} d^{3}+54 a^{2} c^{3} d +6 \left(3 a \,d^{2}+c^{3}\right) a^{2} d \right) d \right) d \right) x^{15}}{15}+\frac{\left(2 \left(\left(6 a^{2} d^{4}+54 a \,c^{3} d^{2}+\left(3 a \,d^{2}+c^{3}\right)^{2}\right) a +\left(72 a^{2} c^{2} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) a \,c^{2}\right) c +\left(2 a^{3} d^{3}+54 a^{2} c^{3} d +6 \left(3 a \,d^{2}+c^{3}\right) a^{2} d \right) d \right) c +3 \left(\left(24 a^{2} c \,d^{3}+18 a \,c^{4} d +12 \left(3 a \,d^{2}+c^{3}\right) a c d \right) a +\left(2 a^{3} d^{3}+54 a^{2} c^{3} d +6 \left(3 a \,d^{2}+c^{3}\right) a^{2} d \right) c +\left(42 a^{3} c \,d^{2}+9 a^{2} c^{4}+6 \left(3 a \,d^{2}+c^{3}\right) a^{2} c \right) d \right) d \right) x^{14}}{14}+7 a^{6} c d \,x^{5}+\frac{\left(2 \left(\left(24 a^{2} c \,d^{3}+18 a \,c^{4} d +12 \left(3 a \,d^{2}+c^{3}\right) a c d \right) a +\left(2 a^{3} d^{3}+54 a^{2} c^{3} d +6 \left(3 a \,d^{2}+c^{3}\right) a^{2} d \right) c +\left(42 a^{3} c \,d^{2}+9 a^{2} c^{4}+6 \left(3 a \,d^{2}+c^{3}\right) a^{2} c \right) d \right) c +3 \left(60 a^{3} c^{2} d^{2}+\left(72 a^{2} c^{2} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) a \,c^{2}\right) a +\left(42 a^{3} c \,d^{2}+9 a^{2} c^{4}+6 \left(3 a \,d^{2}+c^{3}\right) a^{2} c \right) c \right) d \right) x^{13}}{13}+\frac{7 a^{6} c^{2} x^{4}}{2}+\frac{\left(2 \left(60 a^{3} c^{2} d^{2}+\left(72 a^{2} c^{2} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) a \,c^{2}\right) a +\left(42 a^{3} c \,d^{2}+9 a^{2} c^{4}+6 \left(3 a \,d^{2}+c^{3}\right) a^{2} c \right) c \right) c +3 \left(60 a^{3} c^{3} d +\left(2 a^{3} d^{3}+54 a^{2} c^{3} d +6 \left(3 a \,d^{2}+c^{3}\right) a^{2} d \right) a +\left(9 a^{4} d^{2}+18 a^{3} c^{3}+2 \left(3 a \,d^{2}+c^{3}\right) a^{3}\right) d \right) d \right) x^{12}}{12}+a^{7} d \,x^{3}+\frac{\left(2 \left(60 a^{3} c^{3} d +\left(2 a^{3} d^{3}+54 a^{2} c^{3} d +6 \left(3 a \,d^{2}+c^{3}\right) a^{2} d \right) a +\left(9 a^{4} d^{2}+18 a^{3} c^{3}+2 \left(3 a \,d^{2}+c^{3}\right) a^{3}\right) d \right) c +3 \left(30 a^{4} c \,d^{2}+\left(42 a^{3} c \,d^{2}+9 a^{2} c^{4}+6 \left(3 a \,d^{2}+c^{3}\right) a^{2} c \right) a +\left(9 a^{4} d^{2}+18 a^{3} c^{3}+2 \left(3 a \,d^{2}+c^{3}\right) a^{3}\right) c \right) d \right) x^{11}}{11}+a^{7} c \,x^{2}+\frac{\left(315 a^{4} c^{2} d^{2}+2 \left(30 a^{4} c \,d^{2}+\left(42 a^{3} c \,d^{2}+9 a^{2} c^{4}+6 \left(3 a \,d^{2}+c^{3}\right) a^{2} c \right) a +\left(9 a^{4} d^{2}+18 a^{3} c^{3}+2 \left(3 a \,d^{2}+c^{3}\right) a^{3}\right) c \right) c \right) x^{10}}{10}+\frac{\left(210 a^{4} c^{3} d +3 \left(6 a^{5} d^{2}+15 a^{4} c^{3}+\left(9 a^{4} d^{2}+18 a^{3} c^{3}+2 \left(3 a \,d^{2}+c^{3}\right) a^{3}\right) a \right) d \right) x^{9}}{9}+\frac{\left(126 a^{5} c \,d^{2}+2 \left(6 a^{5} d^{2}+15 a^{4} c^{3}+\left(9 a^{4} d^{2}+18 a^{3} c^{3}+2 \left(3 a \,d^{2}+c^{3}\right) a^{3}\right) a \right) c \right) x^{8}}{8}+\frac{\left(21 d^{2} a^{6}+42 c^{3} a^{5}\right) x^{6}}{6}"," ",0,"1/8*d^8*x^24+c*d^7*x^23+7/2*c^2*d^6*x^22+1/21*(42*c^3*d^5+3*d*(a*d^6+15*c^3*d^4+d*(2*(3*a*d^2+c^3)*d^3+18*c^3*d^3)))*x^21+1/20*(2*c*(a*d^6+15*c^3*d^4+d*(2*(3*a*d^2+c^3)*d^3+18*c^3*d^3))+3*d*(6*a*c*d^5+c*(2*(3*a*d^2+c^3)*d^3+18*c^3*d^3)+d*(12*a*c*d^4+6*(3*a*d^2+c^3)*c*d^2+9*c^4*d^2)))*x^20+1/19*(2*c*(6*a*c*d^5+c*(2*(3*a*d^2+c^3)*d^3+18*c^3*d^3)+d*(12*a*c*d^4+6*(3*a*d^2+c^3)*c*d^2+9*c^4*d^2))+3*d*(15*a*c^2*d^4+c*(12*a*c*d^4+6*(3*a*d^2+c^3)*c*d^2+9*c^4*d^2)+d*(42*a*c^2*d^3+6*(3*a*d^2+c^3)*c^2*d)))*x^19+1/18*(2*c*(15*a*c^2*d^4+c*(12*a*c*d^4+6*(3*a*d^2+c^3)*c*d^2+9*c^4*d^2)+d*(42*a*c^2*d^3+6*(3*a*d^2+c^3)*c^2*d))+3*d*(a*(2*(3*a*d^2+c^3)*d^3+18*c^3*d^3)+c*(42*a*c^2*d^3+6*(3*a*d^2+c^3)*c^2*d)+d*(6*a^2*d^4+54*a*c^3*d^2+(3*a*d^2+c^3)^2)))*x^18+1/17*(2*c*(a*(2*(3*a*d^2+c^3)*d^3+18*c^3*d^3)+c*(42*a*c^2*d^3+6*(3*a*d^2+c^3)*c^2*d)+d*(6*a^2*d^4+54*a*c^3*d^2+(3*a*d^2+c^3)^2))+3*d*(a*(12*a*c*d^4+6*(3*a*d^2+c^3)*c*d^2+9*c^4*d^2)+c*(6*a^2*d^4+54*a*c^3*d^2+(3*a*d^2+c^3)^2)+d*(24*c*a^2*d^3+18*a*c^4*d+12*a*c*d*(3*a*d^2+c^3))))*x^17+1/16*(2*c*(a*(12*a*c*d^4+6*(3*a*d^2+c^3)*c*d^2+9*c^4*d^2)+c*(6*a^2*d^4+54*a*c^3*d^2+(3*a*d^2+c^3)^2)+d*(24*c*a^2*d^3+18*a*c^4*d+12*a*c*d*(3*a*d^2+c^3)))+3*d*(a*(42*a*c^2*d^3+6*(3*a*d^2+c^3)*c^2*d)+c*(24*c*a^2*d^3+18*a*c^4*d+12*a*c*d*(3*a*d^2+c^3))+d*(72*a^2*c^2*d^2+6*a*c^2*(3*a*d^2+c^3))))*x^16+1/15*(2*c*(a*(42*a*c^2*d^3+6*(3*a*d^2+c^3)*c^2*d)+c*(24*c*a^2*d^3+18*a*c^4*d+12*a*c*d*(3*a*d^2+c^3))+d*(72*a^2*c^2*d^2+6*a*c^2*(3*a*d^2+c^3)))+3*d*(a*(6*a^2*d^4+54*a*c^3*d^2+(3*a*d^2+c^3)^2)+c*(72*a^2*c^2*d^2+6*a*c^2*(3*a*d^2+c^3))+d*(2*a^3*d^3+54*c^3*a^2*d+6*d*a^2*(3*a*d^2+c^3))))*x^15+1/14*(2*c*(a*(6*a^2*d^4+54*a*c^3*d^2+(3*a*d^2+c^3)^2)+c*(72*a^2*c^2*d^2+6*a*c^2*(3*a*d^2+c^3))+d*(2*a^3*d^3+54*c^3*a^2*d+6*d*a^2*(3*a*d^2+c^3)))+3*d*(a*(24*c*a^2*d^3+18*a*c^4*d+12*a*c*d*(3*a*d^2+c^3))+c*(2*a^3*d^3+54*c^3*a^2*d+6*d*a^2*(3*a*d^2+c^3))+d*(42*a^3*c*d^2+6*c*a^2*(3*a*d^2+c^3)+9*a^2*c^4)))*x^14+1/13*(2*c*(a*(24*c*a^2*d^3+18*a*c^4*d+12*a*c*d*(3*a*d^2+c^3))+c*(2*a^3*d^3+54*c^3*a^2*d+6*d*a^2*(3*a*d^2+c^3))+d*(42*a^3*c*d^2+6*c*a^2*(3*a*d^2+c^3)+9*a^2*c^4))+3*d*(a*(72*a^2*c^2*d^2+6*a*c^2*(3*a*d^2+c^3))+c*(42*a^3*c*d^2+6*c*a^2*(3*a*d^2+c^3)+9*a^2*c^4)+60*d^2*a^3*c^2))*x^13+1/12*(2*c*(a*(72*a^2*c^2*d^2+6*a*c^2*(3*a*d^2+c^3))+c*(42*a^3*c*d^2+6*c*a^2*(3*a*d^2+c^3)+9*a^2*c^4)+60*d^2*a^3*c^2)+3*d*(a*(2*a^3*d^3+54*c^3*a^2*d+6*d*a^2*(3*a*d^2+c^3))+60*c^3*a^3*d+d*(2*a^3*(3*a*d^2+c^3)+18*c^3*a^3+9*a^4*d^2)))*x^12+1/11*(2*c*(a*(2*a^3*d^3+54*c^3*a^2*d+6*d*a^2*(3*a*d^2+c^3))+60*c^3*a^3*d+d*(2*a^3*(3*a*d^2+c^3)+18*c^3*a^3+9*a^4*d^2))+3*d*(a*(42*a^3*c*d^2+6*c*a^2*(3*a*d^2+c^3)+9*a^2*c^4)+c*(2*a^3*(3*a*d^2+c^3)+18*c^3*a^3+9*a^4*d^2)+30*d^2*a^4*c))*x^11+1/10*(2*c*(a*(42*a^3*c*d^2+6*c*a^2*(3*a*d^2+c^3)+9*a^2*c^4)+c*(2*a^3*(3*a*d^2+c^3)+18*c^3*a^3+9*a^4*d^2)+30*d^2*a^4*c)+315*d^2*a^4*c^2)*x^10+1/9*(210*c^3*a^4*d+3*d*(a*(2*a^3*(3*a*d^2+c^3)+18*c^3*a^3+9*a^4*d^2)+15*c^3*a^4+6*d^2*a^5))*x^9+1/8*(2*c*(a*(2*a^3*(3*a*d^2+c^3)+18*c^3*a^3+9*a^4*d^2)+15*c^3*a^4+6*d^2*a^5)+126*d^2*a^5*c)*x^8+21*c^2*a^5*d*x^7+1/6*(21*a^6*d^2+42*a^5*c^3)*x^6+7*c*a^6*d*x^5+7/2*c^2*a^6*x^4+d*a^7*x^3+c*a^7*x^2","B"
199,1,89,15,0.001000," ","int((3*d*x^2+2*c*x)*(d*x^3+c*x^2)^7,x)","\frac{1}{8} d^{8} x^{24}+c \,d^{7} x^{23}+\frac{7}{2} c^{2} d^{6} x^{22}+7 c^{3} d^{5} x^{21}+\frac{35}{4} c^{4} d^{4} x^{20}+7 c^{5} d^{3} x^{19}+\frac{7}{2} c^{6} d^{2} x^{18}+c^{7} d \,x^{17}+\frac{1}{8} c^{8} x^{16}"," ",0,"1/8*d^8*x^24+c*d^7*x^23+7/2*c^2*d^6*x^22+7*c^3*d^5*x^21+35/4*c^4*d^4*x^20+7*c^5*d^3*x^19+7/2*c^6*d^2*x^18+c^7*d*x^17+1/8*c^8*x^16","B"
200,1,89,12,0.001000," ","int(x^7*(d*x^2+c*x)^7*(3*d*x^2+2*c*x),x)","\frac{1}{8} d^{8} x^{24}+c \,d^{7} x^{23}+\frac{7}{2} c^{2} d^{6} x^{22}+7 c^{3} d^{5} x^{21}+\frac{35}{4} c^{4} d^{4} x^{20}+7 c^{5} d^{3} x^{19}+\frac{7}{2} c^{6} d^{2} x^{18}+c^{7} d \,x^{17}+\frac{1}{8} c^{8} x^{16}"," ",0,"1/8*d^8*x^24+c*d^7*x^23+7/2*c^2*d^6*x^22+7*c^3*d^5*x^21+35/4*c^4*d^4*x^20+7*c^5*d^3*x^19+7/2*c^6*d^2*x^18+c^7*d*x^17+1/8*c^8*x^16","B"
201,1,89,12,0.002000," ","int(x^14*(d*x+c)^7*(3*d*x^2+2*c*x),x)","\frac{1}{8} d^{8} x^{24}+c \,d^{7} x^{23}+\frac{7}{2} c^{2} d^{6} x^{22}+7 c^{3} d^{5} x^{21}+\frac{35}{4} c^{4} d^{4} x^{20}+7 c^{5} d^{3} x^{19}+\frac{7}{2} c^{6} d^{2} x^{18}+c^{7} d \,x^{17}+\frac{1}{8} c^{8} x^{16}"," ",0,"1/8*d^8*x^24+c*d^7*x^23+7/2*c^2*d^6*x^22+7*c^3*d^5*x^21+35/4*c^4*d^4*x^20+7*c^5*d^3*x^19+7/2*c^6*d^2*x^18+c^7*d*x^17+1/8*c^8*x^16","B"
202,1,2205,16,0.002000," ","int(x*(3*d*x+2*c)*(d*x^3+c*x^2+a)^7,x)","\frac{d^{8} x^{24}}{8}+c \,d^{7} x^{23}+\frac{7 c^{2} d^{6} x^{22}}{2}+\frac{\left(42 c^{3} d^{5}+3 \left(a \,d^{6}+15 c^{3} d^{4}+\left(18 c^{3} d^{3}+2 \left(3 a \,d^{2}+c^{3}\right) d^{3}\right) d \right) d \right) x^{21}}{21}+\frac{\left(2 \left(a \,d^{6}+15 c^{3} d^{4}+\left(18 c^{3} d^{3}+2 \left(3 a \,d^{2}+c^{3}\right) d^{3}\right) d \right) c +3 \left(6 a c \,d^{5}+\left(18 c^{3} d^{3}+2 \left(3 a \,d^{2}+c^{3}\right) d^{3}\right) c +\left(12 a c \,d^{4}+9 c^{4} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) c \,d^{2}\right) d \right) d \right) x^{20}}{20}+\frac{\left(2 \left(6 a c \,d^{5}+\left(18 c^{3} d^{3}+2 \left(3 a \,d^{2}+c^{3}\right) d^{3}\right) c +\left(12 a c \,d^{4}+9 c^{4} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) c \,d^{2}\right) d \right) c +3 \left(15 a \,c^{2} d^{4}+\left(12 a c \,d^{4}+9 c^{4} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) c \,d^{2}\right) c +\left(42 a \,c^{2} d^{3}+6 \left(3 a \,d^{2}+c^{3}\right) c^{2} d \right) d \right) d \right) x^{19}}{19}+\frac{\left(2 \left(15 a \,c^{2} d^{4}+\left(12 a c \,d^{4}+9 c^{4} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) c \,d^{2}\right) c +\left(42 a \,c^{2} d^{3}+6 \left(3 a \,d^{2}+c^{3}\right) c^{2} d \right) d \right) c +3 \left(\left(18 c^{3} d^{3}+2 \left(3 a \,d^{2}+c^{3}\right) d^{3}\right) a +\left(42 a \,c^{2} d^{3}+6 \left(3 a \,d^{2}+c^{3}\right) c^{2} d \right) c +\left(6 a^{2} d^{4}+54 a \,c^{3} d^{2}+\left(3 a \,d^{2}+c^{3}\right)^{2}\right) d \right) d \right) x^{18}}{18}+\frac{\left(2 \left(\left(18 c^{3} d^{3}+2 \left(3 a \,d^{2}+c^{3}\right) d^{3}\right) a +\left(42 a \,c^{2} d^{3}+6 \left(3 a \,d^{2}+c^{3}\right) c^{2} d \right) c +\left(6 a^{2} d^{4}+54 a \,c^{3} d^{2}+\left(3 a \,d^{2}+c^{3}\right)^{2}\right) d \right) c +3 \left(\left(12 a c \,d^{4}+9 c^{4} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) c \,d^{2}\right) a +\left(6 a^{2} d^{4}+54 a \,c^{3} d^{2}+\left(3 a \,d^{2}+c^{3}\right)^{2}\right) c +\left(24 a^{2} c \,d^{3}+18 a \,c^{4} d +12 \left(3 a \,d^{2}+c^{3}\right) a c d \right) d \right) d \right) x^{17}}{17}+\frac{\left(2 \left(\left(12 a c \,d^{4}+9 c^{4} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) c \,d^{2}\right) a +\left(6 a^{2} d^{4}+54 a \,c^{3} d^{2}+\left(3 a \,d^{2}+c^{3}\right)^{2}\right) c +\left(24 a^{2} c \,d^{3}+18 a \,c^{4} d +12 \left(3 a \,d^{2}+c^{3}\right) a c d \right) d \right) c +3 \left(\left(42 a \,c^{2} d^{3}+6 \left(3 a \,d^{2}+c^{3}\right) c^{2} d \right) a +\left(24 a^{2} c \,d^{3}+18 a \,c^{4} d +12 \left(3 a \,d^{2}+c^{3}\right) a c d \right) c +\left(72 a^{2} c^{2} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) a \,c^{2}\right) d \right) d \right) x^{16}}{16}+21 a^{5} c^{2} d \,x^{7}+\frac{\left(2 \left(\left(42 a \,c^{2} d^{3}+6 \left(3 a \,d^{2}+c^{3}\right) c^{2} d \right) a +\left(24 a^{2} c \,d^{3}+18 a \,c^{4} d +12 \left(3 a \,d^{2}+c^{3}\right) a c d \right) c +\left(72 a^{2} c^{2} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) a \,c^{2}\right) d \right) c +3 \left(\left(6 a^{2} d^{4}+54 a \,c^{3} d^{2}+\left(3 a \,d^{2}+c^{3}\right)^{2}\right) a +\left(72 a^{2} c^{2} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) a \,c^{2}\right) c +\left(2 a^{3} d^{3}+54 a^{2} c^{3} d +6 \left(3 a \,d^{2}+c^{3}\right) a^{2} d \right) d \right) d \right) x^{15}}{15}+\frac{\left(2 \left(\left(6 a^{2} d^{4}+54 a \,c^{3} d^{2}+\left(3 a \,d^{2}+c^{3}\right)^{2}\right) a +\left(72 a^{2} c^{2} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) a \,c^{2}\right) c +\left(2 a^{3} d^{3}+54 a^{2} c^{3} d +6 \left(3 a \,d^{2}+c^{3}\right) a^{2} d \right) d \right) c +3 \left(\left(24 a^{2} c \,d^{3}+18 a \,c^{4} d +12 \left(3 a \,d^{2}+c^{3}\right) a c d \right) a +\left(2 a^{3} d^{3}+54 a^{2} c^{3} d +6 \left(3 a \,d^{2}+c^{3}\right) a^{2} d \right) c +\left(42 a^{3} c \,d^{2}+9 a^{2} c^{4}+6 \left(3 a \,d^{2}+c^{3}\right) a^{2} c \right) d \right) d \right) x^{14}}{14}+7 a^{6} c d \,x^{5}+\frac{\left(2 \left(\left(24 a^{2} c \,d^{3}+18 a \,c^{4} d +12 \left(3 a \,d^{2}+c^{3}\right) a c d \right) a +\left(2 a^{3} d^{3}+54 a^{2} c^{3} d +6 \left(3 a \,d^{2}+c^{3}\right) a^{2} d \right) c +\left(42 a^{3} c \,d^{2}+9 a^{2} c^{4}+6 \left(3 a \,d^{2}+c^{3}\right) a^{2} c \right) d \right) c +3 \left(60 a^{3} c^{2} d^{2}+\left(72 a^{2} c^{2} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) a \,c^{2}\right) a +\left(42 a^{3} c \,d^{2}+9 a^{2} c^{4}+6 \left(3 a \,d^{2}+c^{3}\right) a^{2} c \right) c \right) d \right) x^{13}}{13}+\frac{7 a^{6} c^{2} x^{4}}{2}+\frac{\left(2 \left(60 a^{3} c^{2} d^{2}+\left(72 a^{2} c^{2} d^{2}+6 \left(3 a \,d^{2}+c^{3}\right) a \,c^{2}\right) a +\left(42 a^{3} c \,d^{2}+9 a^{2} c^{4}+6 \left(3 a \,d^{2}+c^{3}\right) a^{2} c \right) c \right) c +3 \left(60 a^{3} c^{3} d +\left(2 a^{3} d^{3}+54 a^{2} c^{3} d +6 \left(3 a \,d^{2}+c^{3}\right) a^{2} d \right) a +\left(9 a^{4} d^{2}+18 a^{3} c^{3}+2 \left(3 a \,d^{2}+c^{3}\right) a^{3}\right) d \right) d \right) x^{12}}{12}+a^{7} d \,x^{3}+\frac{\left(2 \left(60 a^{3} c^{3} d +\left(2 a^{3} d^{3}+54 a^{2} c^{3} d +6 \left(3 a \,d^{2}+c^{3}\right) a^{2} d \right) a +\left(9 a^{4} d^{2}+18 a^{3} c^{3}+2 \left(3 a \,d^{2}+c^{3}\right) a^{3}\right) d \right) c +3 \left(30 a^{4} c \,d^{2}+\left(42 a^{3} c \,d^{2}+9 a^{2} c^{4}+6 \left(3 a \,d^{2}+c^{3}\right) a^{2} c \right) a +\left(9 a^{4} d^{2}+18 a^{3} c^{3}+2 \left(3 a \,d^{2}+c^{3}\right) a^{3}\right) c \right) d \right) x^{11}}{11}+a^{7} c \,x^{2}+\frac{\left(315 a^{4} c^{2} d^{2}+2 \left(30 a^{4} c \,d^{2}+\left(42 a^{3} c \,d^{2}+9 a^{2} c^{4}+6 \left(3 a \,d^{2}+c^{3}\right) a^{2} c \right) a +\left(9 a^{4} d^{2}+18 a^{3} c^{3}+2 \left(3 a \,d^{2}+c^{3}\right) a^{3}\right) c \right) c \right) x^{10}}{10}+\frac{\left(210 a^{4} c^{3} d +3 \left(6 a^{5} d^{2}+15 a^{4} c^{3}+\left(9 a^{4} d^{2}+18 a^{3} c^{3}+2 \left(3 a \,d^{2}+c^{3}\right) a^{3}\right) a \right) d \right) x^{9}}{9}+\frac{\left(126 a^{5} c \,d^{2}+2 \left(6 a^{5} d^{2}+15 a^{4} c^{3}+\left(9 a^{4} d^{2}+18 a^{3} c^{3}+2 \left(3 a \,d^{2}+c^{3}\right) a^{3}\right) a \right) c \right) x^{8}}{8}+\frac{\left(21 d^{2} a^{6}+42 c^{3} a^{5}\right) x^{6}}{6}"," ",0,"1/8*d^8*x^24+c*d^7*x^23+7/2*c^2*d^6*x^22+1/21*(42*c^3*d^5+3*(a*d^6+15*c^3*d^4+(18*c^3*d^3+2*(3*a*d^2+c^3)*d^3)*d)*d)*x^21+1/20*(2*(a*d^6+15*c^3*d^4+(18*c^3*d^3+2*(3*a*d^2+c^3)*d^3)*d)*c+3*(6*a*c*d^5+(18*c^3*d^3+2*(3*a*d^2+c^3)*d^3)*c+(12*a*c*d^4+9*c^4*d^2+6*(3*a*d^2+c^3)*c*d^2)*d)*d)*x^20+1/19*(2*(6*a*c*d^5+(18*c^3*d^3+2*(3*a*d^2+c^3)*d^3)*c+(12*a*c*d^4+9*c^4*d^2+6*(3*a*d^2+c^3)*c*d^2)*d)*c+3*(15*a*c^2*d^4+(12*a*c*d^4+9*c^4*d^2+6*(3*a*d^2+c^3)*c*d^2)*c+(42*a*c^2*d^3+6*(3*a*d^2+c^3)*c^2*d)*d)*d)*x^19+1/18*(2*(15*a*c^2*d^4+(12*a*c*d^4+9*c^4*d^2+6*(3*a*d^2+c^3)*c*d^2)*c+(42*a*c^2*d^3+6*(3*a*d^2+c^3)*c^2*d)*d)*c+3*((18*c^3*d^3+2*(3*a*d^2+c^3)*d^3)*a+(42*a*c^2*d^3+6*(3*a*d^2+c^3)*c^2*d)*c+(6*a^2*d^4+54*a*c^3*d^2+(3*a*d^2+c^3)^2)*d)*d)*x^18+1/17*(2*((18*c^3*d^3+2*(3*a*d^2+c^3)*d^3)*a+(42*a*c^2*d^3+6*(3*a*d^2+c^3)*c^2*d)*c+(6*a^2*d^4+54*a*c^3*d^2+(3*a*d^2+c^3)^2)*d)*c+3*((12*a*c*d^4+9*c^4*d^2+6*(3*a*d^2+c^3)*c*d^2)*a+(6*a^2*d^4+54*a*c^3*d^2+(3*a*d^2+c^3)^2)*c+(24*a^2*c*d^3+18*a*c^4*d+12*(3*a*d^2+c^3)*a*c*d)*d)*d)*x^17+1/16*(2*((12*a*c*d^4+9*c^4*d^2+6*(3*a*d^2+c^3)*c*d^2)*a+(6*a^2*d^4+54*a*c^3*d^2+(3*a*d^2+c^3)^2)*c+(24*a^2*c*d^3+18*a*c^4*d+12*(3*a*d^2+c^3)*a*c*d)*d)*c+3*((42*a*c^2*d^3+6*(3*a*d^2+c^3)*c^2*d)*a+(24*a^2*c*d^3+18*a*c^4*d+12*(3*a*d^2+c^3)*a*c*d)*c+(72*a^2*c^2*d^2+6*(3*a*d^2+c^3)*a*c^2)*d)*d)*x^16+21*a^5*c^2*d*x^7+1/15*(2*((42*a*c^2*d^3+6*(3*a*d^2+c^3)*c^2*d)*a+(24*a^2*c*d^3+18*a*c^4*d+12*(3*a*d^2+c^3)*a*c*d)*c+(72*a^2*c^2*d^2+6*(3*a*d^2+c^3)*a*c^2)*d)*c+3*((6*a^2*d^4+54*a*c^3*d^2+(3*a*d^2+c^3)^2)*a+(72*a^2*c^2*d^2+6*(3*a*d^2+c^3)*a*c^2)*c+(2*a^3*d^3+54*a^2*c^3*d+6*(3*a*d^2+c^3)*a^2*d)*d)*d)*x^15+1/14*(2*((6*a^2*d^4+54*a*c^3*d^2+(3*a*d^2+c^3)^2)*a+(72*a^2*c^2*d^2+6*(3*a*d^2+c^3)*a*c^2)*c+(2*a^3*d^3+54*a^2*c^3*d+6*(3*a*d^2+c^3)*a^2*d)*d)*c+3*((24*a^2*c*d^3+18*a*c^4*d+12*(3*a*d^2+c^3)*a*c*d)*a+(2*a^3*d^3+54*a^2*c^3*d+6*(3*a*d^2+c^3)*a^2*d)*c+(42*a^3*c*d^2+9*a^2*c^4+6*(3*a*d^2+c^3)*a^2*c)*d)*d)*x^14+7*a^6*c*d*x^5+1/13*(2*((24*a^2*c*d^3+18*a*c^4*d+12*(3*a*d^2+c^3)*a*c*d)*a+(2*a^3*d^3+54*a^2*c^3*d+6*(3*a*d^2+c^3)*a^2*d)*c+(42*a^3*c*d^2+9*a^2*c^4+6*(3*a*d^2+c^3)*a^2*c)*d)*c+3*(60*a^3*c^2*d^2+(72*a^2*c^2*d^2+6*(3*a*d^2+c^3)*a*c^2)*a+(42*a^3*c*d^2+9*a^2*c^4+6*(3*a*d^2+c^3)*a^2*c)*c)*d)*x^13+7/2*a^6*c^2*x^4+1/12*(2*(60*a^3*c^2*d^2+(72*a^2*c^2*d^2+6*(3*a*d^2+c^3)*a*c^2)*a+(42*a^3*c*d^2+9*a^2*c^4+6*(3*a*d^2+c^3)*a^2*c)*c)*c+3*(60*a^3*c^3*d+(2*a^3*d^3+54*a^2*c^3*d+6*(3*a*d^2+c^3)*a^2*d)*a+(9*a^4*d^2+18*a^3*c^3+2*(3*a*d^2+c^3)*a^3)*d)*d)*x^12+a^7*d*x^3+1/11*(2*(60*a^3*c^3*d+(2*a^3*d^3+54*a^2*c^3*d+6*(3*a*d^2+c^3)*a^2*d)*a+(9*a^4*d^2+18*a^3*c^3+2*(3*a*d^2+c^3)*a^3)*d)*c+3*(30*a^4*c*d^2+(42*a^3*c*d^2+9*a^2*c^4+6*(3*a*d^2+c^3)*a^2*c)*a+(9*a^4*d^2+18*a^3*c^3+2*(3*a*d^2+c^3)*a^3)*c)*d)*x^11+a^7*c*x^2+1/10*(315*a^4*c^2*d^2+2*(30*a^4*c*d^2+(42*a^3*c*d^2+9*a^2*c^4+6*(3*a*d^2+c^3)*a^2*c)*a+(9*a^4*d^2+18*a^3*c^3+2*(3*a*d^2+c^3)*a^3)*c)*c)*x^10+1/9*(210*a^4*c^3*d+3*(6*a^5*d^2+15*a^4*c^3+(9*a^4*d^2+18*a^3*c^3+2*(3*a*d^2+c^3)*a^3)*a)*d)*x^9+1/8*(126*a^5*c*d^2+2*(6*a^5*d^2+15*a^4*c^3+(9*a^4*d^2+18*a^3*c^3+2*(3*a*d^2+c^3)*a^3)*a)*c)*x^8+1/6*(21*a^6*d^2+42*a^5*c^3)*x^6","B"
203,1,89,12,0.001000," ","int(x*(3*d*x+2*c)*(d*x^3+c*x^2)^7,x)","\frac{1}{8} d^{8} x^{24}+c \,d^{7} x^{23}+\frac{7}{2} c^{2} d^{6} x^{22}+7 c^{3} d^{5} x^{21}+\frac{35}{4} c^{4} d^{4} x^{20}+7 c^{5} d^{3} x^{19}+\frac{7}{2} c^{6} d^{2} x^{18}+c^{7} d \,x^{17}+\frac{1}{8} c^{8} x^{16}"," ",0,"1/8*d^8*x^24+c*d^7*x^23+7/2*c^2*d^6*x^22+7*c^3*d^5*x^21+35/4*c^4*d^4*x^20+7*c^5*d^3*x^19+7/2*c^6*d^2*x^18+c^7*d*x^17+1/8*c^8*x^16","B"
204,1,89,16,0.002000," ","int(x^8*(3*d*x+2*c)*(d*x^2+c*x)^7,x)","\frac{1}{8} d^{8} x^{24}+c \,d^{7} x^{23}+\frac{7}{2} c^{2} d^{6} x^{22}+7 c^{3} d^{5} x^{21}+\frac{35}{4} c^{4} d^{4} x^{20}+7 c^{5} d^{3} x^{19}+\frac{7}{2} c^{6} d^{2} x^{18}+c^{7} d \,x^{17}+\frac{1}{8} c^{8} x^{16}"," ",0,"1/8*d^8*x^24+c*d^7*x^23+7/2*c^2*d^6*x^22+7*c^3*d^5*x^21+35/4*c^4*d^4*x^20+7*c^5*d^3*x^19+7/2*c^6*d^2*x^18+c^7*d*x^17+1/8*c^8*x^16","B"
205,1,89,12,0.000000," ","int(x^15*(d*x+c)^7*(3*d*x+2*c),x)","\frac{1}{8} d^{8} x^{24}+c \,d^{7} x^{23}+\frac{7}{2} c^{2} d^{6} x^{22}+7 c^{3} d^{5} x^{21}+\frac{35}{4} c^{4} d^{4} x^{20}+7 c^{5} d^{3} x^{19}+\frac{7}{2} c^{6} d^{2} x^{18}+c^{7} d \,x^{17}+\frac{1}{8} c^{8} x^{16}"," ",0,"1/8*d^8*x^24+c*d^7*x^23+7/2*c^2*d^6*x^22+7*c^3*d^5*x^21+35/4*c^4*d^4*x^20+7*c^5*d^3*x^19+7/2*c^6*d^2*x^18+c^7*d*x^17+1/8*c^8*x^16","B"
206,1,67,24,0.002000," ","int((b*x+a)*(1+(a*x+1/2*b*x^2)^4),x)","\frac{1}{160} b^{5} x^{10}+\frac{1}{16} a \,b^{4} x^{9}+\frac{1}{4} a^{2} b^{3} x^{8}+\frac{1}{2} a^{3} b^{2} x^{7}+\frac{1}{2} a^{4} b \,x^{6}+\frac{1}{5} a^{5} x^{5}+\frac{1}{2} b \,x^{2}+a x"," ",0,"1/160*b^5*x^10+1/16*a*b^4*x^9+1/4*a^2*b^3*x^8+1/2*a^3*b^2*x^7+1/2*a^4*b*x^6+1/5*a^5*x^5+1/2*b*x^2+a*x","B"
207,1,325,25,0.001000," ","int((b*x+a)*(1+(c+a*x+1/2*b*x^2)^4),x)","\frac{b^{5} x^{10}}{160}+\frac{a \,b^{4} x^{9}}{16}+\frac{\left(\frac{a^{2} b^{3}}{2}+\left(a^{2} b^{2}+\frac{\left(a^{2}+b c \right) b^{2}}{2}\right) b \right) x^{8}}{8}+\frac{\left(\left(a^{2} b^{2}+\frac{\left(a^{2}+b c \right) b^{2}}{2}\right) a +\left(a \,b^{2} c +2 \left(a^{2}+b c \right) a b \right) b \right) x^{7}}{7}+\frac{\left(\left(a \,b^{2} c +2 \left(a^{2}+b c \right) a b \right) a +\left(4 a^{2} b c +\frac{b^{2} c^{2}}{2}+\left(a^{2}+b c \right)^{2}\right) b \right) x^{6}}{6}+\frac{\left(\left(4 a^{2} b c +\frac{b^{2} c^{2}}{2}+\left(a^{2}+b c \right)^{2}\right) a +\left(2 a b \,c^{2}+4 \left(a^{2}+b c \right) a c \right) b \right) x^{5}}{5}+\frac{\left(\left(2 a b \,c^{2}+4 \left(a^{2}+b c \right) a c \right) a +\left(4 a^{2} c^{2}+2 \left(a^{2}+b c \right) c^{2}\right) b \right) x^{4}}{4}+\frac{\left(4 a b \,c^{3}+\left(4 a^{2} c^{2}+2 \left(a^{2}+b c \right) c^{2}\right) a \right) x^{3}}{3}+\left(c^{4}+1\right) a x +\frac{\left(4 a^{2} c^{3}+\left(c^{4}+1\right) b \right) x^{2}}{2}"," ",0,"1/160*b^5*x^10+1/16*a*b^4*x^9+1/8*(1/2*a^2*b^3+b*(1/2*(a^2+b*c)*b^2+a^2*b^2))*x^8+1/7*(a*(1/2*(a^2+b*c)*b^2+a^2*b^2)+b*(a*c*b^2+2*(a^2+b*c)*a*b))*x^7+1/6*(a*(a*c*b^2+2*(a^2+b*c)*a*b)+b*(1/2*c^2*b^2+4*a^2*c*b+(a^2+b*c)^2))*x^6+1/5*(a*(1/2*c^2*b^2+4*a^2*c*b+(a^2+b*c)^2)+b*(2*c^2*a*b+4*a*c*(a^2+b*c)))*x^5+1/4*(a*(2*c^2*a*b+4*a*c*(a^2+b*c))+b*(2*c^2*(a^2+b*c)+4*a^2*c^2))*x^4+1/3*(a*(2*c^2*(a^2+b*c)+4*a^2*c^2)+4*a*b*c^3)*x^3+1/2*(4*a^2*c^3+b*(c^4+1))*x^2+a*(c^4+1)*x","B"
208,1,31,30,0.004000," ","int((b*x+a)*(1+(a*x+1/2*b*x^2)^n),x)","\frac{b \,x^{2}}{2}+a x +\frac{\left(\frac{1}{2} b \,x^{2}+a x \right)^{n +1}}{n +1}"," ",0,"a*x+1/2*b*x^2+(a*x+1/2*b*x^2)^(n+1)/(n+1)","A"
209,1,33,31,0.003000," ","int((b*x+a)*(1+(c+a*x+1/2*b*x^2)^n),x)","\frac{b \,x^{2}}{2}+a x +c +\frac{\left(\frac{1}{2} b \,x^{2}+a x +c \right)^{n +1}}{n +1}"," ",0,"c+a*x+1/2*b*x^2+(c+a*x+1/2*b*x^2)^(n+1)/(n+1)","A"
210,1,78,24,0.002000," ","int((c*x^2+a)*(1+(a*x+1/3*c*x^3)^5),x)","\frac{1}{4374} c^{6} x^{18}+\frac{1}{243} a \,c^{5} x^{16}+\frac{5}{162} a^{2} c^{4} x^{14}+\frac{10}{81} a^{3} c^{3} x^{12}+\frac{5}{18} a^{4} c^{2} x^{10}+\frac{1}{3} a^{5} c \,x^{8}+\frac{1}{6} a^{6} x^{6}+\frac{1}{3} c \,x^{3}+a x"," ",0,"1/4374*c^6*x^18+1/243*a*c^5*x^16+5/162*a^2*c^4*x^14+10/81*a^3*c^3*x^12+5/18*a^4*c^2*x^10+1/3*a^5*c*x^8+1/6*a^6*x^6+1/3*c*x^3+a*x","B"
211,1,618,25,0.002000," ","int((c*x^2+a)*(1+(d+a*x+1/3*c*x^3)^5),x)","\frac{c^{6} x^{18}}{4374}+\frac{a \,c^{5} x^{16}}{243}+\frac{c^{5} d \,x^{15}}{243}+\frac{5 a^{2} c^{4} x^{14}}{162}+\frac{5 a \,c^{4} d \,x^{13}}{81}+\frac{10 a^{2} c^{3} d \,x^{11}}{27}+\frac{\left(\frac{10 a^{3} c^{3}}{27}+\left(\frac{2 a^{3} c^{2}}{3}+\frac{4 c^{3} d^{2}}{27}+\frac{\left(\frac{4}{3} a^{3} c +\frac{2}{3} c^{2} d^{2}\right) c}{3}\right) c \right) x^{12}}{12}+\frac{\left(\left(\frac{2 a^{3} c^{2}}{3}+\frac{4 c^{3} d^{2}}{27}+\frac{\left(\frac{4}{3} a^{3} c +\frac{2}{3} c^{2} d^{2}\right) c}{3}\right) a +\left(\frac{4 a \,c^{2} d^{2}}{3}+\left(\frac{4}{3} a^{3} c +\frac{2}{3} c^{2} d^{2}\right) a +\frac{\left(a^{4}+4 a c \,d^{2}\right) c}{3}\right) c \right) x^{10}}{10}+\frac{\left(\frac{10 a^{3} c^{2} d}{3}+\left(4 a^{3} c d +\frac{\left(4 a^{3} d +\frac{4}{3} c \,d^{3}\right) c}{3}+\left(\frac{4}{3} a^{3} c +\frac{2}{3} c^{2} d^{2}\right) d \right) c \right) x^{9}}{9}+\frac{5 a^{2} d^{4} x^{2}}{2}+\frac{\left(\left(\frac{4 a \,c^{2} d^{2}}{3}+\left(\frac{4}{3} a^{3} c +\frac{2}{3} c^{2} d^{2}\right) a +\frac{\left(a^{4}+4 a c \,d^{2}\right) c}{3}\right) a +\left(6 a^{2} c \,d^{2}+\left(a^{4}+4 a c \,d^{2}\right) a \right) c \right) x^{8}}{8}+\frac{\left(\left(4 a^{3} c d +\frac{\left(4 a^{3} d +\frac{4}{3} c \,d^{3}\right) c}{3}+\left(\frac{4}{3} a^{3} c +\frac{2}{3} c^{2} d^{2}\right) d \right) a +\left(\frac{4 a c \,d^{3}}{3}+\left(4 a^{3} d +\frac{4}{3} c \,d^{3}\right) a +\left(a^{4}+4 a c \,d^{2}\right) d \right) c \right) x^{7}}{7}+\frac{\left(\left(6 a^{2} c \,d^{2}+\left(a^{4}+4 a c \,d^{2}\right) a \right) a +\left(6 a^{3} d^{2}+\frac{c \,d^{4}}{3}+\left(4 a^{3} d +\frac{4}{3} c \,d^{3}\right) d \right) c \right) x^{6}}{6}+\frac{\left(10 a^{2} c \,d^{3}+\left(\frac{4 a c \,d^{3}}{3}+\left(4 a^{3} d +\frac{4}{3} c \,d^{3}\right) a +\left(a^{4}+4 a c \,d^{2}\right) d \right) a \right) x^{5}}{5}+\frac{\left(5 a c \,d^{4}+\left(6 a^{3} d^{2}+\frac{c \,d^{4}}{3}+\left(4 a^{3} d +\frac{4}{3} c \,d^{3}\right) d \right) a \right) x^{4}}{4}+\frac{\left(10 a^{3} d^{3}+\left(d^{5}+1\right) c \right) x^{3}}{3}+\left(d^{5}+1\right) a x"," ",0,"1/4374*c^6*x^18+1/243*a*c^5*x^16+1/243*c^5*d*x^15+5/162*a^2*c^4*x^14+5/81*a*c^4*d*x^13+1/12*(10/27*a^3*c^3+c*(4/27*d^2*c^3+2/3*a^3*c^2+1/3*c*(2/3*d^2*c^2+4/3*a^3*c)))*x^12+10/27*a^2*c^3*d*x^11+1/10*(a*(4/27*d^2*c^3+2/3*a^3*c^2+1/3*c*(2/3*d^2*c^2+4/3*a^3*c))+c*(4/3*d^2*a*c^2+a*(2/3*d^2*c^2+4/3*a^3*c)+1/3*c*(a^4+4*a*c*d^2)))*x^10+1/9*(10/3*a^3*d*c^2+c*(d*(2/3*d^2*c^2+4/3*a^3*c)+4*a^3*d*c+1/3*c*(4/3*d^3*c+4*a^3*d)))*x^9+1/8*(a*(4/3*d^2*a*c^2+a*(2/3*d^2*c^2+4/3*a^3*c)+1/3*c*(a^4+4*a*c*d^2))+c*(6*d^2*a^2*c+a*(a^4+4*a*c*d^2)))*x^8+1/7*(a*(d*(2/3*d^2*c^2+4/3*a^3*c)+4*a^3*d*c+1/3*c*(4/3*d^3*c+4*a^3*d))+c*(d*(a^4+4*a*c*d^2)+a*(4/3*d^3*c+4*a^3*d)+4/3*c*d^3*a))*x^7+1/6*(a*(6*d^2*a^2*c+a*(a^4+4*a*c*d^2))+c*(d*(4/3*d^3*c+4*a^3*d)+6*a^3*d^2+1/3*c*d^4))*x^6+1/5*(a*(d*(a^4+4*a*c*d^2)+a*(4/3*d^3*c+4*a^3*d)+4/3*c*d^3*a)+10*a^2*c*d^3)*x^5+1/4*(a*(d*(4/3*d^3*c+4*a^3*d)+6*a^3*d^2+1/3*c*d^4)+5*a*c*d^4)*x^4+1/3*(10*a^3*d^3+c*(d^5+1))*x^3+5/2*a^2*d^4*x^2+a*(d^5+1)*x","B"
212,1,81,28,0.002000," ","int((c*x^2+b*x)*(1+(1/2*b*x^2+1/3*c*x^3)^5),x)","\frac{1}{4374} c^{6} x^{18}+\frac{1}{486} b \,c^{5} x^{17}+\frac{5}{648} b^{2} c^{4} x^{16}+\frac{5}{324} b^{3} c^{3} x^{15}+\frac{5}{288} b^{4} c^{2} x^{14}+\frac{1}{96} b^{5} c \,x^{13}+\frac{1}{384} b^{6} x^{12}+\frac{1}{3} c \,x^{3}+\frac{1}{2} b \,x^{2}"," ",0,"1/4374*c^6*x^18+1/486*b*c^5*x^17+5/648*b^2*c^4*x^16+5/324*b^3*c^3*x^15+5/288*b^4*c^2*x^14+1/96*b^5*c*x^13+1/384*b^6*x^12+1/3*c*x^3+1/2*b*x^2","B"
213,1,646,31,0.001000," ","int((c*x^2+b*x)*(1+(d+1/2*b*x^2+1/3*c*x^3)^5),x)","\frac{c^{6} x^{18}}{4374}+\frac{b \,c^{5} x^{17}}{486}+\frac{5 b^{2} c^{4} x^{16}}{648}+\frac{\left(\frac{5 b^{3} c^{3}}{54}+\left(\frac{b^{3} c^{2}}{12}+\frac{c^{4} d}{81}+\frac{\left(\frac{1}{6} b^{3} c +\frac{4}{27} c^{3} d \right) c}{3}\right) c \right) x^{15}}{15}+\frac{\left(\left(\frac{b^{3} c^{2}}{12}+\frac{c^{4} d}{81}+\frac{\left(\frac{1}{6} b^{3} c +\frac{4}{27} c^{3} d \right) c}{3}\right) b +\left(\frac{2 b \,c^{3} d}{27}+\frac{\left(\frac{1}{6} b^{3} c +\frac{4}{27} c^{3} d \right) b}{2}+\frac{\left(\frac{1}{16} b^{4}+\frac{2}{3} b \,c^{2} d \right) c}{3}\right) c \right) x^{14}}{14}+\frac{5 b^{2} c \,d^{3} x^{7}}{6}+\frac{\left(\left(\frac{2 b \,c^{3} d}{27}+\frac{\left(\frac{1}{6} b^{3} c +\frac{4}{27} c^{3} d \right) b}{2}+\frac{\left(\frac{1}{16} b^{4}+\frac{2}{3} b \,c^{2} d \right) c}{3}\right) b +\left(\frac{b^{2} c^{2} d}{2}+\frac{\left(\frac{1}{16} b^{4}+\frac{2}{3} b \,c^{2} d \right) b}{2}\right) c \right) x^{13}}{13}+\frac{\left(\left(\frac{b^{2} c^{2} d}{2}+\frac{\left(\frac{1}{16} b^{4}+\frac{2}{3} b \,c^{2} d \right) b}{2}\right) b +\left(\frac{b^{3} c d}{2}+\frac{\left(\frac{1}{2} b^{3} d +\frac{2}{3} c^{2} d^{2}\right) c}{3}+\left(\frac{1}{6} b^{3} c +\frac{4}{27} c^{3} d \right) d \right) c \right) x^{12}}{12}+\frac{5 b c \,d^{4} x^{5}}{6}+\frac{\left(\left(\frac{b^{3} c d}{2}+\frac{\left(\frac{1}{2} b^{3} d +\frac{2}{3} c^{2} d^{2}\right) c}{3}+\left(\frac{1}{6} b^{3} c +\frac{4}{27} c^{3} d \right) d \right) b +\left(\frac{2 b \,c^{2} d^{2}}{3}+\frac{\left(\frac{1}{2} b^{3} d +\frac{2}{3} c^{2} d^{2}\right) b}{2}+\left(\frac{1}{16} b^{4}+\frac{2}{3} b \,c^{2} d \right) d \right) c \right) x^{11}}{11}+\frac{5 b^{2} d^{4} x^{4}}{8}+\frac{\left(\frac{5 b^{2} c^{2} d^{2}}{2}+\left(\frac{2 b \,c^{2} d^{2}}{3}+\frac{\left(\frac{1}{2} b^{3} d +\frac{2}{3} c^{2} d^{2}\right) b}{2}+\left(\frac{1}{16} b^{4}+\frac{2}{3} b \,c^{2} d \right) d \right) b \right) x^{10}}{10}+\frac{\left(\frac{5 b^{3} c \,d^{2}}{2}+\left(\frac{3 b^{3} d^{2}}{4}+\frac{4 c^{2} d^{3}}{9}+\left(\frac{1}{2} b^{3} d +\frac{2}{3} c^{2} d^{2}\right) d \right) c \right) x^{9}}{9}+\frac{\left(\frac{10 b \,c^{2} d^{3}}{3}+\left(\frac{3 b^{3} d^{2}}{4}+\frac{4 c^{2} d^{3}}{9}+\left(\frac{1}{2} b^{3} d +\frac{2}{3} c^{2} d^{2}\right) d \right) b \right) x^{8}}{8}+\frac{\left(\frac{5}{2} b^{3} d^{3}+\frac{5}{3} c^{2} d^{4}\right) x^{6}}{6}+\frac{\left(d^{5}+1\right) c \,x^{3}}{3}+\frac{\left(d^{5}+1\right) b \,x^{2}}{2}"," ",0,"1/4374*c^6*x^18+1/486*b*c^5*x^17+5/648*b^2*c^4*x^16+1/15*(5/54*b^3*c^3+c*(1/81*d*c^4+1/12*b^3*c^2+1/3*c*(4/27*c^3*d+1/6*b^3*c)))*x^15+1/14*(b*(1/81*d*c^4+1/12*b^3*c^2+1/3*c*(4/27*c^3*d+1/6*b^3*c))+c*(2/27*d*b*c^3+1/2*b*(4/27*c^3*d+1/6*b^3*c)+1/3*c*(2/3*d*b*c^2+1/16*b^4)))*x^14+1/13*(b*(2/27*d*b*c^3+1/2*b*(4/27*c^3*d+1/6*b^3*c)+1/3*c*(2/3*d*b*c^2+1/16*b^4))+c*(1/2*d*b^2*c^2+1/2*b*(2/3*d*b*c^2+1/16*b^4)))*x^13+1/12*(b*(1/2*d*b^2*c^2+1/2*b*(2/3*d*b*c^2+1/16*b^4))+c*(d*(4/27*c^3*d+1/6*b^3*c)+1/2*b^3*d*c+1/3*c*(2/3*c^2*d^2+1/2*d*b^3)))*x^12+1/11*(b*(d*(4/27*c^3*d+1/6*b^3*c)+1/2*b^3*d*c+1/3*c*(2/3*c^2*d^2+1/2*d*b^3))+c*(d*(2/3*d*b*c^2+1/16*b^4)+1/2*b*(2/3*c^2*d^2+1/2*d*b^3)+2/3*c^2*d^2*b))*x^11+1/10*(b*(d*(2/3*d*b*c^2+1/16*b^4)+1/2*b*(2/3*c^2*d^2+1/2*d*b^3)+2/3*c^2*d^2*b)+5/2*b^2*c^2*d^2)*x^10+1/9*(5/2*b^3*c*d^2+c*(d*(2/3*c^2*d^2+1/2*d*b^3)+3/4*b^3*d^2+4/9*c^2*d^3))*x^9+1/8*(b*(d*(2/3*c^2*d^2+1/2*d*b^3)+3/4*b^3*d^2+4/9*c^2*d^3)+10/3*c^2*d^3*b)*x^8+5/6*b^2*c*d^3*x^7+1/6*(5/2*b^3*d^3+5/3*c^2*d^4)*x^6+5/6*b*c*d^4*x^5+5/8*b^2*d^4*x^4+1/3*(d^5+1)*c*x^3+1/2*b*(d^5+1)*x^2","B"
214,1,1523,36,0.002000," ","int((c*x^2+b*x+a)*(1+(a*x+1/2*b*x^2+1/3*c*x^3)^5),x)","\frac{c^{6} x^{18}}{4374}+\frac{b \,c^{5} x^{17}}{486}+\frac{\left(\frac{a \,c^{5}}{243}+\frac{5 b^{2} c^{4}}{162}+\left(\frac{a \,c^{4}}{81}+\frac{b^{2} c^{3}}{27}+\frac{\left(\frac{b^{2} c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) c^{2}}{9}\right) c}{3}\right) c \right) x^{16}}{16}+\frac{\left(\frac{5 a b \,c^{4}}{162}+\left(\frac{a \,c^{4}}{81}+\frac{b^{2} c^{3}}{27}+\frac{\left(\frac{b^{2} c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) c^{2}}{9}\right) c}{3}\right) b +\left(\frac{2 a b \,c^{3}}{27}+\frac{\left(\frac{b^{2} c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) c^{2}}{9}\right) b}{2}+\frac{\left(\frac{2 a b \,c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) b c}{3}\right) c}{3}\right) c \right) x^{15}}{15}+\frac{\left(\left(\frac{a \,c^{4}}{81}+\frac{b^{2} c^{3}}{27}+\frac{\left(\frac{b^{2} c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) c^{2}}{9}\right) c}{3}\right) a +\left(\frac{2 a b \,c^{3}}{27}+\frac{\left(\frac{b^{2} c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) c^{2}}{9}\right) b}{2}+\frac{\left(\frac{2 a b \,c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) b c}{3}\right) c}{3}\right) b +\left(\left(\frac{b^{2} c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) c^{2}}{9}\right) a +\frac{\left(\frac{2 a b \,c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) b c}{3}\right) b}{2}+\frac{\left(\frac{2 a^{2} c^{2}}{9}+\frac{2 a \,b^{2} c}{3}+\left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right)^{2}\right) c}{3}\right) c \right) x^{14}}{14}+\frac{a^{5} b \,x^{7}}{2}+\frac{\left(\left(\frac{2 a b \,c^{3}}{27}+\frac{\left(\frac{b^{2} c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) c^{2}}{9}\right) b}{2}+\frac{\left(\frac{2 a b \,c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) b c}{3}\right) c}{3}\right) a +\left(\left(\frac{b^{2} c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) c^{2}}{9}\right) a +\frac{\left(\frac{2 a b \,c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) b c}{3}\right) b}{2}+\frac{\left(\frac{2 a^{2} c^{2}}{9}+\frac{2 a \,b^{2} c}{3}+\left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right)^{2}\right) c}{3}\right) b +\left(\left(\frac{2 a b \,c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) b c}{3}\right) a +\frac{\left(\frac{2 a^{2} c^{2}}{9}+\frac{2 a \,b^{2} c}{3}+\left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right)^{2}\right) b}{2}+\frac{\left(\frac{2 a^{2} b c}{3}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a b \right) c}{3}\right) c \right) x^{13}}{13}+\frac{a^{6} x^{6}}{6}+\frac{\left(\left(\left(\frac{b^{2} c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) c^{2}}{9}\right) a +\frac{\left(\frac{2 a b \,c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) b c}{3}\right) b}{2}+\frac{\left(\frac{2 a^{2} c^{2}}{9}+\frac{2 a \,b^{2} c}{3}+\left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right)^{2}\right) c}{3}\right) a +\left(\left(\frac{2 a b \,c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) b c}{3}\right) a +\frac{\left(\frac{2 a^{2} c^{2}}{9}+\frac{2 a \,b^{2} c}{3}+\left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right)^{2}\right) b}{2}+\frac{\left(\frac{2 a^{2} b c}{3}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a b \right) c}{3}\right) b +\left(\left(\frac{2 a^{2} c^{2}}{9}+\frac{2 a \,b^{2} c}{3}+\left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right)^{2}\right) a +\frac{\left(\frac{2 a^{2} b c}{3}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a b \right) b}{2}+\frac{\left(a^{2} b^{2}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a^{2}\right) c}{3}\right) c \right) x^{12}}{12}+\frac{\left(\left(\left(\frac{2 a b \,c^{2}}{9}+\frac{2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) b c}{3}\right) a +\frac{\left(\frac{2 a^{2} c^{2}}{9}+\frac{2 a \,b^{2} c}{3}+\left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right)^{2}\right) b}{2}+\frac{\left(\frac{2 a^{2} b c}{3}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a b \right) c}{3}\right) a +\left(\left(\frac{2 a^{2} c^{2}}{9}+\frac{2 a \,b^{2} c}{3}+\left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right)^{2}\right) a +\frac{\left(\frac{2 a^{2} b c}{3}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a b \right) b}{2}+\frac{\left(a^{2} b^{2}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a^{2}\right) c}{3}\right) b +\left(\frac{2 a^{3} b c}{3}+\left(\frac{2 a^{2} b c}{3}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a b \right) a +\frac{\left(a^{2} b^{2}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a^{2}\right) b}{2}\right) c \right) x^{11}}{11}+\frac{\left(\left(\left(\frac{2 a^{2} c^{2}}{9}+\frac{2 a \,b^{2} c}{3}+\left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right)^{2}\right) a +\frac{\left(\frac{2 a^{2} b c}{3}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a b \right) b}{2}+\frac{\left(a^{2} b^{2}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a^{2}\right) c}{3}\right) a +\left(\frac{2 a^{3} b c}{3}+\left(\frac{2 a^{2} b c}{3}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a b \right) a +\frac{\left(a^{2} b^{2}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a^{2}\right) b}{2}\right) b +\left(\frac{a^{4} c}{3}+a^{3} b^{2}+\left(a^{2} b^{2}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a^{2}\right) a \right) c \right) x^{10}}{10}+\frac{\left(\frac{5 a^{4} b c}{2}+\left(\frac{2 a^{3} b c}{3}+\left(\frac{2 a^{2} b c}{3}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a b \right) a +\frac{\left(a^{2} b^{2}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a^{2}\right) b}{2}\right) a +\left(\frac{a^{4} c}{3}+a^{3} b^{2}+\left(a^{2} b^{2}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a^{2}\right) a \right) b \right) x^{9}}{9}+\frac{\left(a^{5} c +\frac{5 a^{4} b^{2}}{2}+\left(\frac{a^{4} c}{3}+a^{3} b^{2}+\left(a^{2} b^{2}+2 \left(\frac{2 a c}{3}+\frac{b^{2}}{4}\right) a^{2}\right) a \right) a \right) x^{8}}{8}+\frac{c \,x^{3}}{3}+\frac{b \,x^{2}}{2}+a x"," ",0,"1/4374*c^6*x^18+1/486*b*c^5*x^17+1/16*(1/243*a*c^5+5/162*b^2*c^4+c*(1/81*a*c^4+1/27*b^2*c^3+1/3*c*(2/9*(2/3*a*c+1/4*b^2)*c^2+1/9*b^2*c^2)))*x^16+1/15*(5/162*a*b*c^4+b*(1/81*a*c^4+1/27*b^2*c^3+1/3*c*(2/9*(2/3*a*c+1/4*b^2)*c^2+1/9*b^2*c^2))+c*(2/27*a*b*c^3+1/2*b*(2/9*(2/3*a*c+1/4*b^2)*c^2+1/9*b^2*c^2)+1/3*c*(2/9*a*b*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)))*x^15+1/14*(a*(1/81*a*c^4+1/27*b^2*c^3+1/3*c*(2/9*(2/3*a*c+1/4*b^2)*c^2+1/9*b^2*c^2))+b*(2/27*a*b*c^3+1/2*b*(2/9*(2/3*a*c+1/4*b^2)*c^2+1/9*b^2*c^2)+1/3*c*(2/9*a*b*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c))+c*(a*(2/9*(2/3*a*c+1/4*b^2)*c^2+1/9*b^2*c^2)+1/2*b*(2/9*a*b*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+1/3*c*(2/9*a^2*c^2+2/3*a*b^2*c+(2/3*a*c+1/4*b^2)^2)))*x^14+1/13*(a*(2/27*a*b*c^3+1/2*b*(2/9*(2/3*a*c+1/4*b^2)*c^2+1/9*b^2*c^2)+1/3*c*(2/9*a*b*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c))+b*(a*(2/9*(2/3*a*c+1/4*b^2)*c^2+1/9*b^2*c^2)+1/2*b*(2/9*a*b*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+1/3*c*(2/9*a^2*c^2+2/3*a*b^2*c+(2/3*a*c+1/4*b^2)^2))+c*(a*(2/9*a*b*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+1/2*b*(2/9*a^2*c^2+2/3*a*b^2*c+(2/3*a*c+1/4*b^2)^2)+1/3*c*(2/3*a^2*b*c+2*a*b*(2/3*a*c+1/4*b^2))))*x^13+1/12*(a*(a*(2/9*(2/3*a*c+1/4*b^2)*c^2+1/9*b^2*c^2)+1/2*b*(2/9*a*b*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+1/3*c*(2/9*a^2*c^2+2/3*a*b^2*c+(2/3*a*c+1/4*b^2)^2))+b*(a*(2/9*a*b*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+1/2*b*(2/9*a^2*c^2+2/3*a*b^2*c+(2/3*a*c+1/4*b^2)^2)+1/3*c*(2/3*a^2*b*c+2*a*b*(2/3*a*c+1/4*b^2)))+c*(a*(2/9*a^2*c^2+2/3*a*b^2*c+(2/3*a*c+1/4*b^2)^2)+1/2*b*(2/3*a^2*b*c+2*a*b*(2/3*a*c+1/4*b^2))+1/3*c*(2*a^2*(2/3*a*c+1/4*b^2)+a^2*b^2)))*x^12+1/11*(a*(a*(2/9*a*b*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+1/2*b*(2/9*a^2*c^2+2/3*a*b^2*c+(2/3*a*c+1/4*b^2)^2)+1/3*c*(2/3*a^2*b*c+2*a*b*(2/3*a*c+1/4*b^2)))+b*(a*(2/9*a^2*c^2+2/3*a*b^2*c+(2/3*a*c+1/4*b^2)^2)+1/2*b*(2/3*a^2*b*c+2*a*b*(2/3*a*c+1/4*b^2))+1/3*c*(2*a^2*(2/3*a*c+1/4*b^2)+a^2*b^2))+c*(a*(2/3*a^2*b*c+2*a*b*(2/3*a*c+1/4*b^2))+1/2*b*(2*a^2*(2/3*a*c+1/4*b^2)+a^2*b^2)+2/3*c*a^3*b))*x^11+1/10*(a*(a*(2/9*a^2*c^2+2/3*a*b^2*c+(2/3*a*c+1/4*b^2)^2)+1/2*b*(2/3*a^2*b*c+2*a*b*(2/3*a*c+1/4*b^2))+1/3*c*(2*a^2*(2/3*a*c+1/4*b^2)+a^2*b^2))+b*(a*(2/3*a^2*b*c+2*a*b*(2/3*a*c+1/4*b^2))+1/2*b*(2*a^2*(2/3*a*c+1/4*b^2)+a^2*b^2)+2/3*c*a^3*b)+c*(a*(2*a^2*(2/3*a*c+1/4*b^2)+a^2*b^2)+b^2*a^3+1/3*c*a^4))*x^10+1/9*(a*(a*(2/3*a^2*b*c+2*a*b*(2/3*a*c+1/4*b^2))+1/2*b*(2*a^2*(2/3*a*c+1/4*b^2)+a^2*b^2)+2/3*c*a^3*b)+b*(a*(2*a^2*(2/3*a*c+1/4*b^2)+a^2*b^2)+b^2*a^3+1/3*c*a^4)+5/2*c*a^4*b)*x^9+1/8*(a*(a*(2*a^2*(2/3*a*c+1/4*b^2)+a^2*b^2)+b^2*a^3+1/3*c*a^4)+5/2*b^2*a^4+c*a^5)*x^8+1/2*a^5*b*x^7+1/6*a^6*x^6+1/3*c*x^3+1/2*b*x^2+a*x","B"
215,1,4284,37,0.002000," ","int((c*x^2+b*x+a)*(1+(d+a*x+1/2*b*x^2+1/3*c*x^3)^5),x)","\text{output too large to display}"," ",0,"1/4374*c^6*x^18+1/486*b*c^5*x^17+1/16*(1/243*a*c^5+5/162*b^2*c^4+(1/81*a*c^4+1/27*b^2*c^3+1/3*(1/9*b^2*c^2+2/9*(2/3*a*c+1/4*b^2)*c^2)*c)*c)*x^16+1/15*(5/162*a*b*c^4+(1/81*a*c^4+1/27*b^2*c^3+1/3*(1/9*b^2*c^2+2/9*(2/3*a*c+1/4*b^2)*c^2)*c)*b+c*(1/81*c^4*d+2/27*a*b*c^3+1/2*(1/9*b^2*c^2+2/9*(2/3*a*c+1/4*b^2)*c^2)*b+1/3*c*(2/9*(2/3*c*d+a*b)*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)))*x^15+1/14*((1/81*a*c^4+1/27*b^2*c^3+1/3*(1/9*b^2*c^2+2/9*(2/3*a*c+1/4*b^2)*c^2)*c)*a+b*(1/81*c^4*d+2/27*a*b*c^3+1/2*(1/9*b^2*c^2+2/9*(2/3*a*c+1/4*b^2)*c^2)*b+1/3*c*(2/9*(2/3*c*d+a*b)*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c))+c*(2/27*b*c^3*d+(1/9*b^2*c^2+2/9*(2/3*a*c+1/4*b^2)*c^2)*a+1/2*b*(2/9*(2/3*c*d+a*b)*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+1/3*c*(2/9*(a^2+b*d)*c^2+2/3*(2/3*c*d+a*b)*b*c+(2/3*a*c+1/4*b^2)^2)))*x^14+1/13*(a*(1/81*c^4*d+2/27*a*b*c^3+1/2*(1/9*b^2*c^2+2/9*(2/3*a*c+1/4*b^2)*c^2)*b+1/3*c*(2/9*(2/3*c*d+a*b)*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c))+b*(2/27*b*c^3*d+(1/9*b^2*c^2+2/9*(2/3*a*c+1/4*b^2)*c^2)*a+1/2*b*(2/9*(2/3*c*d+a*b)*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+1/3*c*(2/9*(a^2+b*d)*c^2+2/3*(2/3*c*d+a*b)*b*c+(2/3*a*c+1/4*b^2)^2))+c*(d*(1/9*b^2*c^2+2/9*(2/3*a*c+1/4*b^2)*c^2)+a*(2/9*(2/3*c*d+a*b)*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+1/2*b*(2/9*(a^2+b*d)*c^2+2/3*(2/3*c*d+a*b)*b*c+(2/3*a*c+1/4*b^2)^2)+1/3*c*(4/9*a*d*c^2+2/3*(a^2+b*d)*b*c+2*(2/3*c*d+a*b)*(2/3*a*c+1/4*b^2))))*x^13+1/12*(a*(2/27*b*c^3*d+(1/9*b^2*c^2+2/9*(2/3*a*c+1/4*b^2)*c^2)*a+1/2*b*(2/9*(2/3*c*d+a*b)*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+1/3*c*(2/9*(a^2+b*d)*c^2+2/3*(2/3*c*d+a*b)*b*c+(2/3*a*c+1/4*b^2)^2))+b*(d*(1/9*b^2*c^2+2/9*(2/3*a*c+1/4*b^2)*c^2)+a*(2/9*(2/3*c*d+a*b)*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+1/2*b*(2/9*(a^2+b*d)*c^2+2/3*(2/3*c*d+a*b)*b*c+(2/3*a*c+1/4*b^2)^2)+1/3*c*(4/9*a*d*c^2+2/3*(a^2+b*d)*b*c+2*(2/3*c*d+a*b)*(2/3*a*c+1/4*b^2)))+c*(d*(2/9*(2/3*c*d+a*b)*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+a*(2/9*(a^2+b*d)*c^2+2/3*(2/3*c*d+a*b)*b*c+(2/3*a*c+1/4*b^2)^2)+1/2*b*(4/9*a*d*c^2+2/3*(a^2+b*d)*b*c+2*(2/3*c*d+a*b)*(2/3*a*c+1/4*b^2))+1/3*c*(2/9*c^2*d^2+4/3*a*d*b*c+2*(a^2+b*d)*(2/3*a*c+1/4*b^2)+(2/3*c*d+a*b)^2)))*x^12+1/11*(a*(d*(1/9*b^2*c^2+2/9*(2/3*a*c+1/4*b^2)*c^2)+a*(2/9*(2/3*c*d+a*b)*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+1/2*b*(2/9*(a^2+b*d)*c^2+2/3*(2/3*c*d+a*b)*b*c+(2/3*a*c+1/4*b^2)^2)+1/3*c*(4/9*a*d*c^2+2/3*(a^2+b*d)*b*c+2*(2/3*c*d+a*b)*(2/3*a*c+1/4*b^2)))+b*(d*(2/9*(2/3*c*d+a*b)*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+a*(2/9*(a^2+b*d)*c^2+2/3*(2/3*c*d+a*b)*b*c+(2/3*a*c+1/4*b^2)^2)+1/2*b*(4/9*a*d*c^2+2/3*(a^2+b*d)*b*c+2*(2/3*c*d+a*b)*(2/3*a*c+1/4*b^2))+1/3*c*(2/9*c^2*d^2+4/3*a*d*b*c+2*(a^2+b*d)*(2/3*a*c+1/4*b^2)+(2/3*c*d+a*b)^2))+c*(d*(2/9*(a^2+b*d)*c^2+2/3*(2/3*c*d+a*b)*b*c+(2/3*a*c+1/4*b^2)^2)+a*(4/9*a*d*c^2+2/3*(a^2+b*d)*b*c+2*(2/3*c*d+a*b)*(2/3*a*c+1/4*b^2))+1/2*b*(2/9*c^2*d^2+4/3*a*d*b*c+2*(a^2+b*d)*(2/3*a*c+1/4*b^2)+(2/3*c*d+a*b)^2)+1/3*c*(2/3*d^2*b*c+4*a*d*(2/3*a*c+1/4*b^2)+2*(a^2+b*d)*(2/3*c*d+a*b))))*x^11+1/10*(a*(d*(2/9*(2/3*c*d+a*b)*c^2+2/3*(2/3*a*c+1/4*b^2)*b*c)+a*(2/9*(a^2+b*d)*c^2+2/3*(2/3*c*d+a*b)*b*c+(2/3*a*c+1/4*b^2)^2)+1/2*b*(4/9*a*d*c^2+2/3*(a^2+b*d)*b*c+2*(2/3*c*d+a*b)*(2/3*a*c+1/4*b^2))+1/3*c*(2/9*c^2*d^2+4/3*a*d*b*c+2*(a^2+b*d)*(2/3*a*c+1/4*b^2)+(2/3*c*d+a*b)^2))+b*(d*(2/9*(a^2+b*d)*c^2+2/3*(2/3*c*d+a*b)*b*c+(2/3*a*c+1/4*b^2)^2)+a*(4/9*a*d*c^2+2/3*(a^2+b*d)*b*c+2*(2/3*c*d+a*b)*(2/3*a*c+1/4*b^2))+1/2*b*(2/9*c^2*d^2+4/3*a*d*b*c+2*(a^2+b*d)*(2/3*a*c+1/4*b^2)+(2/3*c*d+a*b)^2)+1/3*c*(2/3*d^2*b*c+4*a*d*(2/3*a*c+1/4*b^2)+2*(a^2+b*d)*(2/3*c*d+a*b)))+c*(d*(4/9*a*d*c^2+2/3*(a^2+b*d)*b*c+2*(2/3*c*d+a*b)*(2/3*a*c+1/4*b^2))+a*(2/9*c^2*d^2+4/3*a*d*b*c+2*(a^2+b*d)*(2/3*a*c+1/4*b^2)+(2/3*c*d+a*b)^2)+1/2*b*(2/3*d^2*b*c+4*a*d*(2/3*a*c+1/4*b^2)+2*(a^2+b*d)*(2/3*c*d+a*b))+1/3*c*(2*d^2*(2/3*a*c+1/4*b^2)+4*a*d*(2/3*c*d+a*b)+(a^2+b*d)^2)))*x^10+1/9*(a*(d*(2/9*(a^2+b*d)*c^2+2/3*(2/3*c*d+a*b)*b*c+(2/3*a*c+1/4*b^2)^2)+a*(4/9*a*d*c^2+2/3*(a^2+b*d)*b*c+2*(2/3*c*d+a*b)*(2/3*a*c+1/4*b^2))+1/2*b*(2/9*c^2*d^2+4/3*a*d*b*c+2*(a^2+b*d)*(2/3*a*c+1/4*b^2)+(2/3*c*d+a*b)^2)+1/3*c*(2/3*d^2*b*c+4*a*d*(2/3*a*c+1/4*b^2)+2*(a^2+b*d)*(2/3*c*d+a*b)))+b*(d*(4/9*a*d*c^2+2/3*(a^2+b*d)*b*c+2*(2/3*c*d+a*b)*(2/3*a*c+1/4*b^2))+a*(2/9*c^2*d^2+4/3*a*d*b*c+2*(a^2+b*d)*(2/3*a*c+1/4*b^2)+(2/3*c*d+a*b)^2)+1/2*b*(2/3*d^2*b*c+4*a*d*(2/3*a*c+1/4*b^2)+2*(a^2+b*d)*(2/3*c*d+a*b))+1/3*c*(2*d^2*(2/3*a*c+1/4*b^2)+4*a*d*(2/3*c*d+a*b)+(a^2+b*d)^2))+c*(d*(2/9*c^2*d^2+4/3*a*d*b*c+2*(a^2+b*d)*(2/3*a*c+1/4*b^2)+(2/3*c*d+a*b)^2)+a*(2/3*d^2*b*c+4*a*d*(2/3*a*c+1/4*b^2)+2*(a^2+b*d)*(2/3*c*d+a*b))+1/2*b*(2*d^2*(2/3*a*c+1/4*b^2)+4*a*d*(2/3*c*d+a*b)+(a^2+b*d)^2)+1/3*c*(2*d^2*(2/3*c*d+a*b)+4*a*d*(a^2+b*d))))*x^9+1/8*(a*(d*(4/9*a*d*c^2+2/3*(a^2+b*d)*b*c+2*(2/3*c*d+a*b)*(2/3*a*c+1/4*b^2))+a*(2/9*c^2*d^2+4/3*a*d*b*c+2*(a^2+b*d)*(2/3*a*c+1/4*b^2)+(2/3*c*d+a*b)^2)+1/2*b*(2/3*d^2*b*c+4*a*d*(2/3*a*c+1/4*b^2)+2*(a^2+b*d)*(2/3*c*d+a*b))+1/3*c*(2*d^2*(2/3*a*c+1/4*b^2)+4*a*d*(2/3*c*d+a*b)+(a^2+b*d)^2))+b*(d*(2/9*c^2*d^2+4/3*a*d*b*c+2*(a^2+b*d)*(2/3*a*c+1/4*b^2)+(2/3*c*d+a*b)^2)+a*(2/3*d^2*b*c+4*a*d*(2/3*a*c+1/4*b^2)+2*(a^2+b*d)*(2/3*c*d+a*b))+1/2*b*(2*d^2*(2/3*a*c+1/4*b^2)+4*a*d*(2/3*c*d+a*b)+(a^2+b*d)^2)+1/3*c*(2*d^2*(2/3*c*d+a*b)+4*a*d*(a^2+b*d)))+c*(d*(2/3*d^2*b*c+4*a*d*(2/3*a*c+1/4*b^2)+2*(a^2+b*d)*(2/3*c*d+a*b))+a*(2*d^2*(2/3*a*c+1/4*b^2)+4*a*d*(2/3*c*d+a*b)+(a^2+b*d)^2)+1/2*b*(2*d^2*(2/3*c*d+a*b)+4*a*d*(a^2+b*d))+1/3*c*(2*d^2*(a^2+b*d)+4*a^2*d^2)))*x^8+1/7*(a*(d*(2/9*c^2*d^2+4/3*a*d*b*c+2*(a^2+b*d)*(2/3*a*c+1/4*b^2)+(2/3*c*d+a*b)^2)+a*(2/3*d^2*b*c+4*a*d*(2/3*a*c+1/4*b^2)+2*(a^2+b*d)*(2/3*c*d+a*b))+1/2*b*(2*d^2*(2/3*a*c+1/4*b^2)+4*a*d*(2/3*c*d+a*b)+(a^2+b*d)^2)+1/3*c*(2*d^2*(2/3*c*d+a*b)+4*a*d*(a^2+b*d)))+b*(d*(2/3*d^2*b*c+4*a*d*(2/3*a*c+1/4*b^2)+2*(a^2+b*d)*(2/3*c*d+a*b))+a*(2*d^2*(2/3*a*c+1/4*b^2)+4*a*d*(2/3*c*d+a*b)+(a^2+b*d)^2)+1/2*b*(2*d^2*(2/3*c*d+a*b)+4*a*d*(a^2+b*d))+1/3*c*(2*d^2*(a^2+b*d)+4*a^2*d^2))+c*(d*(2*d^2*(2/3*a*c+1/4*b^2)+4*a*d*(2/3*c*d+a*b)+(a^2+b*d)^2)+a*(2*d^2*(2/3*c*d+a*b)+4*a*d*(a^2+b*d))+1/2*b*(2*d^2*(a^2+b*d)+4*a^2*d^2)+4/3*a*c*d^3))*x^7+1/6*(a*(d*(2/3*d^2*b*c+4*a*d*(2/3*a*c+1/4*b^2)+2*(a^2+b*d)*(2/3*c*d+a*b))+a*(2*d^2*(2/3*a*c+1/4*b^2)+4*a*d*(2/3*c*d+a*b)+(a^2+b*d)^2)+1/2*b*(2*d^2*(2/3*c*d+a*b)+4*a*d*(a^2+b*d))+1/3*c*(2*d^2*(a^2+b*d)+4*a^2*d^2))+b*(d*(2*d^2*(2/3*a*c+1/4*b^2)+4*a*d*(2/3*c*d+a*b)+(a^2+b*d)^2)+a*(2*d^2*(2/3*c*d+a*b)+4*a*d*(a^2+b*d))+1/2*b*(2*d^2*(a^2+b*d)+4*a^2*d^2)+4/3*a*c*d^3)+c*(d*(2*d^2*(2/3*c*d+a*b)+4*a*d*(a^2+b*d))+a*(2*d^2*(a^2+b*d)+4*a^2*d^2)+2*b*d^3*a+1/3*c*d^4))*x^6+1/5*(a*(d*(2*d^2*(2/3*a*c+1/4*b^2)+4*a*d*(2/3*c*d+a*b)+(a^2+b*d)^2)+a*(2*d^2*(2/3*c*d+a*b)+4*a*d*(a^2+b*d))+1/2*b*(2*d^2*(a^2+b*d)+4*a^2*d^2)+4/3*a*c*d^3)+b*(d*(2*d^2*(2/3*c*d+a*b)+4*a*d*(a^2+b*d))+a*(2*d^2*(a^2+b*d)+4*a^2*d^2)+2*b*d^3*a+1/3*c*d^4)+c*(d*(2*d^2*(a^2+b*d)+4*a^2*d^2)+4*a^2*d^3+1/2*b*d^4))*x^5+1/4*(a*(d*(2*d^2*(2/3*c*d+a*b)+4*a*d*(a^2+b*d))+a*(2*d^2*(a^2+b*d)+4*a^2*d^2)+2*b*d^3*a+1/3*c*d^4)+b*(d*(2*d^2*(a^2+b*d)+4*a^2*d^2)+4*a^2*d^3+1/2*b*d^4)+5*a*c*d^4)*x^4+1/3*(a*(d*(2*d^2*(a^2+b*d)+4*a^2*d^2)+4*a^2*d^3+1/2*b*d^4)+5*b*d^4*a+(d^5+1)*c)*x^3+1/2*(5*a^2*d^4+b*(d^5+1))*x^2+(d^5+1)*a*x","B"
216,1,31,30,0.004000," ","int((c*x^2+a)*(1+(a*x+1/3*c*x^3)^n),x)","\frac{c \,x^{3}}{3}+a x +\frac{\left(\frac{1}{3} c \,x^{3}+a x \right)^{n +1}}{n +1}"," ",0,"a*x+1/3*c*x^3+(a*x+1/3*c*x^3)^(n+1)/(n+1)","A"
217,1,37,36,0.003000," ","int((c*x^2+b*x)*(1+(1/2*b*x^2+1/3*c*x^3)^n),x)","\frac{c \,x^{3}}{3}+\frac{b \,x^{2}}{2}+\frac{\left(\frac{1}{3} c \,x^{3}+\frac{1}{2} b \,x^{2}\right)^{n +1}}{n +1}"," ",0,"1/2*b*x^2+1/3*c*x^3+(1/2*b*x^2+1/3*c*x^3)^(n+1)/(n+1)","A"
218,1,43,42,0.003000," ","int((c*x^2+b*x+a)*(1+(a*x+1/2*b*x^2+1/3*c*x^3)^n),x)","\frac{c \,x^{3}}{3}+\frac{b \,x^{2}}{2}+a x +\frac{\left(\frac{1}{3} c \,x^{3}+\frac{1}{2} b \,x^{2}+a x \right)^{n +1}}{n +1}"," ",0,"a*x+1/2*b*x^2+1/3*c*x^3+(a*x+1/2*b*x^2+1/3*c*x^3)^(n+1)/(n+1)","A"
219,1,30,17,0.001000," ","int((x^2+4*x-4)*(x^3+6*x^2-12*x+5),x)","\frac{1}{6} x^{6}+2 x^{5}+2 x^{4}-\frac{67}{3} x^{3}+34 x^{2}-20 x"," ",0,"1/6*x^6+2*x^5+2*x^4-67/3*x^3+34*x^2-20*x","A"
220,1,18,14,0.000000," ","int((x^3+2*x)*(x^4+4*x^2+1),x)","\frac{1}{8} x^{8}+x^{6}+\frac{9}{4} x^{4}+x^{2}"," ",0,"1/8*x^8+x^6+9/4*x^4+x^2","A"
221,1,87,31,0.001000," ","int((2*x+1)*(x^2+x)^3*(-18+7*(x^2+x)^3)^2,x)","\frac{49}{10} x^{20}+49 x^{19}+\frac{441}{2} x^{18}+588 x^{17}+1029 x^{16}+\frac{6174}{5} x^{15}+993 x^{14}+336 x^{13}-\frac{1071}{2} x^{12}-1211 x^{11}-\frac{12551}{10} x^{10}-756 x^{9}-171 x^{8}+288 x^{7}+486 x^{6}+324 x^{5}+81 x^{4}"," ",0,"49/10*x^20+49*x^19+441/2*x^18+588*x^17+1029*x^16+6174/5*x^15+993*x^14+336*x^13-1071/2*x^12-1211*x^11-12551/10*x^10-756*x^9-171*x^8+288*x^7+486*x^6+324*x^5+81*x^4","B"
222,1,87,31,0.001000," ","int(x^3*(x+1)^3*(2*x+1)*(-18+7*x^3*(x+1)^3)^2,x)","\frac{49}{10} x^{20}+49 x^{19}+\frac{441}{2} x^{18}+588 x^{17}+1029 x^{16}+\frac{6174}{5} x^{15}+993 x^{14}+336 x^{13}-\frac{1071}{2} x^{12}-1211 x^{11}-\frac{12551}{10} x^{10}-756 x^{9}-171 x^{8}+288 x^{7}+486 x^{6}+324 x^{5}+81 x^{4}"," ",0,"49/10*x^20+49*x^19+441/2*x^18+588*x^17+1029*x^16+6174/5*x^15+993*x^14+336*x^13-1071/2*x^12-1211*x^11-12551/10*x^10-756*x^9-171*x^8+288*x^7+486*x^6+324*x^5+81*x^4","B"
223,1,13,12,0.001000," ","int((-x^2+2)/(x^3-6*x+1)^5,x)","\frac{1}{12 \left(x^{3}-6 x +1\right)^{4}}"," ",0,"1/12/(x^3-6*x+1)^4","A"
224,1,14,13,0.002000," ","int((x^2+2*x)/(x^3+3*x^2+4),x)","\frac{\ln \left(x^{3}+3 x^{2}+4\right)}{3}"," ",0,"1/3*ln(x^3+3*x^2+4)","A"
225,1,14,15,0.003000," ","int((x^3+x+1)/(x^4+2*x^2+4*x),x)","\frac{\ln \left(\left(x^{3}+2 x +4\right) x \right)}{4}"," ",0,"1/4*ln(x*(x^3+2*x+4))","A"
226,1,28,40,0.013000," ","int((-2*b*f*x^3-3*a*f*x^2-b*e*x^2-2*a*e*x-a*d+b*c)/(f*x^3+e*x^2+d*x+c)^2,x)","-\frac{-b x -a}{f \,x^{3}+e \,x^{2}+d x +c}"," ",0,"-(-b*x-a)/(f*x^3+e*x^2+d*x+c)","A"
227,1,2105,548,0.088000," ","int((D*x^3+C*x^2+B*x+A)/(a*x^4+b*x^3+c*x^2+b*x+a),x)","\frac{A b \arctan \left(\frac{4 a x +b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}-4 a c +b^{2}}\, \sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}+\frac{A b \arctan \left(\frac{-4 a x -b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}-4 a c +b^{2}}\, \sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}-\frac{4 B a \arctan \left(\frac{4 a x +b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}-4 a c +b^{2}}\, \sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}-\frac{4 B a \arctan \left(\frac{-4 a x -b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}-4 a c +b^{2}}\, \sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}+\frac{C b \arctan \left(\frac{4 a x +b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}-4 a c +b^{2}}\, \sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}+\frac{C b \arctan \left(\frac{-4 a x -b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}-4 a c +b^{2}}\, \sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}-\frac{D b^{2} \arctan \left(\frac{4 a x +b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}-4 a c +b^{2}}\, \sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}\, a}-\frac{D b^{2} \arctan \left(\frac{-4 a x -b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}-4 a c +b^{2}}\, \sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}\, a}+\frac{2 D c \arctan \left(\frac{4 a x +b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}-4 a c +b^{2}}\, \sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}+\frac{2 D c \arctan \left(\frac{-4 a x -b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}-4 a c +b^{2}}\, \sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}+\frac{A \arctan \left(\frac{4 a x +b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}-\frac{A \arctan \left(\frac{-4 a x -b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}-\frac{A \ln \left(-2 a \,x^{2}-b x -2 a +\sqrt{8 a^{2}-4 a c +b^{2}}\, x \right)}{2 \sqrt{8 a^{2}-4 a c +b^{2}}}+\frac{A \ln \left(2 a \,x^{2}+b x +2 a +\sqrt{8 a^{2}-4 a c +b^{2}}\, x \right)}{2 \sqrt{8 a^{2}-4 a c +b^{2}}}+\frac{C \arctan \left(\frac{4 a x +b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}-\frac{C \arctan \left(\frac{-4 a x -b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}+\frac{C \ln \left(-2 a \,x^{2}-b x -2 a +\sqrt{8 a^{2}-4 a c +b^{2}}\, x \right)}{2 \sqrt{8 a^{2}-4 a c +b^{2}}}-\frac{C \ln \left(2 a \,x^{2}+b x +2 a +\sqrt{8 a^{2}-4 a c +b^{2}}\, x \right)}{2 \sqrt{8 a^{2}-4 a c +b^{2}}}-\frac{D b \arctan \left(\frac{4 a x +b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}+4 a c -2 b^{2}-2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}\, a}+\frac{D b \arctan \left(\frac{-4 a x -b +\sqrt{8 a^{2}-4 a c +b^{2}}}{\sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}}\right)}{\sqrt{8 a^{2}+4 a c -2 b^{2}+2 \sqrt{8 a^{2}-4 a c +b^{2}}\, b}\, a}-\frac{D b \ln \left(-2 a \,x^{2}-b x -2 a +\sqrt{8 a^{2}-4 a c +b^{2}}\, x \right)}{4 \sqrt{8 a^{2}-4 a c +b^{2}}\, a}+\frac{D b \ln \left(2 a \,x^{2}+b x +2 a +\sqrt{8 a^{2}-4 a c +b^{2}}\, x \right)}{4 \sqrt{8 a^{2}-4 a c +b^{2}}\, a}+\frac{D \ln \left(-2 a \,x^{2}-b x -2 a +\sqrt{8 a^{2}-4 a c +b^{2}}\, x \right)}{4 a}+\frac{D \ln \left(2 a \,x^{2}+b x +2 a +\sqrt{8 a^{2}-4 a c +b^{2}}\, x \right)}{4 a}"," ",0,"-1/2/(8*a^2-4*a*c+b^2)^(1/2)*ln(-2*a*x^2+(8*a^2-4*a*c+b^2)^(1/2)*x-b*x-2*a)*A+1/2/(8*a^2-4*a*c+b^2)^(1/2)*ln(-2*a*x^2+(8*a^2-4*a*c+b^2)^(1/2)*x-b*x-2*a)*C+1/4/a*ln(-2*a*x^2+(8*a^2-4*a*c+b^2)^(1/2)*x-b*x-2*a)*D-1/4/a/(8*a^2-4*a*c+b^2)^(1/2)*ln(-2*a*x^2+(8*a^2-4*a*c+b^2)^(1/2)*x-b*x-2*a)*D*b-1/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((-4*a*x+(8*a^2-4*a*c+b^2)^(1/2)-b)/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*A+1/(8*a^2-4*a*c+b^2)^(1/2)/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((-4*a*x+(8*a^2-4*a*c+b^2)^(1/2)-b)/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*b*A-1/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((-4*a*x+(8*a^2-4*a*c+b^2)^(1/2)-b)/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*C+1/(8*a^2-4*a*c+b^2)^(1/2)/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((-4*a*x+(8*a^2-4*a*c+b^2)^(1/2)-b)/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*b*C+2/(8*a^2-4*a*c+b^2)^(1/2)/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((-4*a*x+(8*a^2-4*a*c+b^2)^(1/2)-b)/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*D*c-1/a/(8*a^2-4*a*c+b^2)^(1/2)/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((-4*a*x+(8*a^2-4*a*c+b^2)^(1/2)-b)/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*D*b^2+1/a/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((-4*a*x+(8*a^2-4*a*c+b^2)^(1/2)-b)/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*D*b-4*a/(8*a^2-4*a*c+b^2)^(1/2)/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((-4*a*x+(8*a^2-4*a*c+b^2)^(1/2)-b)/(8*a^2+4*a*c-2*b^2+2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*B+1/2/(8*a^2-4*a*c+b^2)^(1/2)*ln(2*a*x^2+(8*a^2-4*a*c+b^2)^(1/2)*x+b*x+2*a)*A-1/2/(8*a^2-4*a*c+b^2)^(1/2)*ln(2*a*x^2+(8*a^2-4*a*c+b^2)^(1/2)*x+b*x+2*a)*C+1/4/a*ln(2*a*x^2+(8*a^2-4*a*c+b^2)^(1/2)*x+b*x+2*a)*D+1/4/a/(8*a^2-4*a*c+b^2)^(1/2)*ln(2*a*x^2+(8*a^2-4*a*c+b^2)^(1/2)*x+b*x+2*a)*D*b+1/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((b+4*a*x+(8*a^2-4*a*c+b^2)^(1/2))/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*A+1/(8*a^2-4*a*c+b^2)^(1/2)/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((b+4*a*x+(8*a^2-4*a*c+b^2)^(1/2))/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*b*A+1/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((b+4*a*x+(8*a^2-4*a*c+b^2)^(1/2))/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*C+1/(8*a^2-4*a*c+b^2)^(1/2)/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((b+4*a*x+(8*a^2-4*a*c+b^2)^(1/2))/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*b*C+2/(8*a^2-4*a*c+b^2)^(1/2)/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((b+4*a*x+(8*a^2-4*a*c+b^2)^(1/2))/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*D*c-1/a/(8*a^2-4*a*c+b^2)^(1/2)/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((b+4*a*x+(8*a^2-4*a*c+b^2)^(1/2))/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*D*b^2-1/a/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((b+4*a*x+(8*a^2-4*a*c+b^2)^(1/2))/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*D*b-4*a/(8*a^2-4*a*c+b^2)^(1/2)/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2)*arctan((b+4*a*x+(8*a^2-4*a*c+b^2)^(1/2))/(8*a^2+4*a*c-2*b^2-2*b*(8*a^2-4*a*c+b^2)^(1/2))^(1/2))*B","B"
228,1,82,55,0.049000," ","int((2*x^3-4*x^2+x+2)/(x^4-x^3+x^2-x+1),x)","\frac{\ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{2}-\frac{\sqrt{5}\, \ln \left(2 x^{2}-\sqrt{5}\, x -x +2\right)}{2}+\frac{\ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{2}+\frac{\sqrt{5}\, \ln \left(2 x^{2}+\sqrt{5}\, x -x +2\right)}{2}"," ",0,"1/2*ln(x*5^(1/2)+2*x^2-x+2)+1/2*ln(x*5^(1/2)+2*x^2-x+2)*5^(1/2)+1/2*ln(-x*5^(1/2)+2*x^2-x+2)-1/2*ln(-x*5^(1/2)+2*x^2-x+2)*5^(1/2)","A"
229,1,13,12,0.007000," ","int((x^3+3*x^2+3*x)/(x^4+4*x^3+6*x^2+4*x+1),x)","\ln \left(x +1\right)+\frac{1}{3 \left(x +1\right)^{3}}"," ",0,"1/3/(x+1)^3+ln(x+1)","A"
230,1,27,26,0.006000," ","int((x^3-3*x^2+3*x-1)/(x^4+4*x^3+6*x^2+4*x+1),x)","\ln \left(x +1\right)+\frac{8}{3 \left(x +1\right)^{3}}-\frac{6}{\left(x +1\right)^{2}}+\frac{6}{x +1}"," ",0,"8/3/(x+1)^3-6/(x+1)^2+6/(x+1)+ln(x+1)","A"
231,1,30,59,0.006000," ","int((-39*x^8+26*x^6+24*x^5+174*x^4-18*x^2-40*x+9)/(x^4+2*x^2+3)^3,x)","-\frac{-13 x^{5}+4 x^{2}-3 x -2}{\left(x^{4}+2 x^{2}+3\right)^{2}}"," ",0,"-(-13*x^5+4*x^2-3*x-2)/(x^4+2*x^2+3)^2","A"
232,1,41,11,0.009000," ","int((4*x^5-1)/(x^5+x+1)^2,x)","-\frac{-3 x^{2}+5 x -1}{7 \left(x^{3}-x^{2}+1\right)}+\frac{-3 x -1}{7 x^{2}+7 x +7}"," ",0,"-1/7*(-3*x^2+5*x-1)/(x^3-x^2+1)+1/7*(-3*x-1)/(x^2+x+1)","B"
233,1,116,73,0.019000," ","int((x^2+1)/(-x^6+7*x^4-7*x^2+1)^2,x)","-\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 x +2\right) \sqrt{2}}{4}\right)}{32}-\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 x -2\right) \sqrt{2}}{4}\right)}{32}-\frac{\ln \left(x -1\right)}{8}+\frac{\ln \left(x +1\right)}{8}-\frac{3 \ln \left(x^{2}-2 x -1\right)}{128}+\frac{3 \ln \left(x^{2}+2 x -1\right)}{128}-\frac{1}{32 \left(x -1\right)}+\frac{-5 x -12}{64 x^{2}+128 x -64}-\frac{1}{32 \left(x +1\right)}-\frac{5 x -12}{64 \left(x^{2}-2 x -1\right)}"," ",0,"-1/32/(x-1)-1/8*ln(x-1)+1/64*(-5*x-12)/(x^2+2*x-1)+3/128*ln(x^2+2*x-1)-1/32*2^(1/2)*arctanh(1/4*(2*x+2)*2^(1/2))-1/32/(x+1)+1/8*ln(x+1)-1/64*(-12+5*x)/(x^2-2*x-1)-3/128*ln(x^2-2*x-1)-1/32*2^(1/2)*arctanh(1/4*(2*x-2)*2^(1/2))","A"
234,1,26,25,0.010000," ","int(x^m*(d*x^3+c*x^2+b*x+a)^p*(a*(1+m)+x*(b*(2+m+p)+x*(c*(3+m+2*p)+d*(4+m+3*p)*x))),x)","x^{m +1} \left(d \,x^{3}+c \,x^{2}+b x +a \right)^{p +1}"," ",0,"x^(1+m)*(d*x^3+c*x^2+b*x+a)^(p+1)","A"
235,1,24,23,0.010000," ","int(x^2*(d*x^3+c*x^2+b*x+a)^p*(3*a+b*(4+p)*x+c*(5+2*p)*x^2+d*(6+3*p)*x^3),x)","x^{3} \left(d \,x^{3}+c \,x^{2}+b x +a \right)^{p +1}"," ",0,"x^3*(d*x^3+c*x^2+b*x+a)^(p+1)","A"
236,1,24,23,0.008000," ","int(x*(d*x^3+c*x^2+b*x+a)^p*(2*a+b*(3+p)*x+c*(4+2*p)*x^2+d*(5+3*p)*x^3),x)","x^{2} \left(d \,x^{3}+c \,x^{2}+b x +a \right)^{p +1}"," ",0,"x^2*(d*x^3+c*x^2+b*x+a)^(p+1)","A"
237,1,22,21,0.005000," ","int((d*x^3+c*x^2+b*x+a)^p*(a+b*(p+2)*x+c*(2*p+3)*x^2+d*(4+3*p)*x^3),x)","x \left(d \,x^{3}+c \,x^{2}+b x +a \right)^{p +1}"," ",0,"x*(d*x^3+c*x^2+b*x+a)^(p+1)","A"
238,1,20,19,0.006000," ","int((d*x^3+c*x^2+b*x+a)^p*(b*(p+1)*x+c*(2+2*p)*x^2+d*(3+3*p)*x^3)/x,x)","\left(d \,x^{3}+c \,x^{2}+b x +a \right)^{p +1}"," ",0,"(d*x^3+c*x^2+b*x+a)^(p+1)","A"
239,1,24,23,0.009000," ","int((d*x^3+c*x^2+b*x+a)^p*(-a+b*p*x+c*(1+2*p)*x^2+d*(2+3*p)*x^3)/x^2,x)","\frac{\left(d \,x^{3}+c \,x^{2}+b x +a \right)^{p +1}}{x}"," ",0,"(d*x^3+c*x^2+b*x+a)^(p+1)/x","A"
240,1,24,23,0.008000," ","int((d*x^3+c*x^2+b*x+a)^p*(-2*a+b*(-1+p)*x+2*c*p*x^2+d*(3*p+1)*x^3)/x^3,x)","\frac{\left(d \,x^{3}+c \,x^{2}+b x +a \right)^{p +1}}{x^{2}}"," ",0,"(d*x^3+c*x^2+b*x+a)^(p+1)/x^2","A"
241,1,24,23,0.008000," ","int((d*x^3+c*x^2+b*x+a)^p*(-3*a+b*(-2+p)*x+c*(-1+2*p)*x^2+3*d*p*x^3)/x^4,x)","\frac{\left(d \,x^{3}+c \,x^{2}+b x +a \right)^{p +1}}{x^{3}}"," ",0,"(d*x^3+c*x^2+b*x+a)^(p+1)/x^3","A"
242,1,74,73,0.007000," ","int(x^4*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x)","\frac{x^{4}}{4}+\frac{x^{3}}{3}-\frac{3 x^{2}}{4}+\frac{5 x}{4}-\frac{\sqrt{15}\, \arctan \left(\frac{\left(4 x -1\right) \sqrt{15}}{15}\right)}{72}-\frac{10 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{\ln \left(x^{2}+x +1\right)}{3}-\frac{13 \ln \left(2 x^{2}-x +2\right)}{48}"," ",0,"1/4*x^4+1/3*x^3-3/4*x^2+5/4*x-13/48*ln(2*x^2-x+2)-1/72*15^(1/2)*arctan(1/15*(4*x-1)*15^(1/2))+1/3*ln(x^2+x+1)-10/9*arctan(1/3*(2*x+1)*3^(1/2))*3^(1/2)","A"
243,1,69,68,0.006000," ","int(x^3*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x)","\frac{x^{3}}{3}+\frac{x^{2}}{2}-\frac{3 x}{2}-\frac{5 \sqrt{15}\, \arctan \left(\frac{\left(4 x -1\right) \sqrt{15}}{15}\right)}{36}+\frac{8 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 \ln \left(x^{2}+x +1\right)}{3}-\frac{\ln \left(2 x^{2}-x +2\right)}{24}"," ",0,"1/3*x^3+1/2*x^2-3/2*x-1/24*ln(2*x^2-x+2)-5/36*15^(1/2)*arctan(1/15*(4*x-1)*15^(1/2))+2/3*ln(x^2+x+1)+8/9*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
244,1,62,61,0.005000," ","int(x^2*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x)","\frac{x^{2}}{2}+x -\frac{\sqrt{15}\, \arctan \left(\frac{\left(4 x -1\right) \sqrt{15}}{15}\right)}{18}+\frac{2 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}-\ln \left(x^{2}+x +1\right)+\frac{\ln \left(2 x^{2}-x +2\right)}{4}"," ",0,"1/2*x^2+x+1/4*ln(2*x^2-x+2)-1/18*15^(1/2)*arctan(1/15*(4*x-1)*15^(1/2))-ln(x^2+x+1)+2/9*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
245,1,57,56,0.005000," ","int(x*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x)","x +\frac{\sqrt{15}\, \arctan \left(\frac{\left(4 x -1\right) \sqrt{15}}{15}\right)}{9}-\frac{10 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{\ln \left(x^{2}+x +1\right)}{3}+\frac{\ln \left(2 x^{2}-x +2\right)}{6}"," ",0,"x+1/6*ln(2*x^2-x+2)+1/9*15^(1/2)*arctan(1/15*(4*x-1)*15^(1/2))+1/3*ln(x^2+x+1)-10/9*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
246,1,56,55,0.006000," ","int((2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x)","\frac{\sqrt{15}\, \arctan \left(\frac{\left(4 x -1\right) \sqrt{15}}{15}\right)}{9}+\frac{8 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{2 \ln \left(x^{2}+x +1\right)}{3}-\frac{\ln \left(2 x^{2}-x +2\right)}{6}"," ",0,"-1/6*ln(2*x^2-x+2)+1/9*15^(1/2)*arctan(1/15*(4*x-1)*15^(1/2))+2/3*ln(x^2+x+1)+8/9*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
247,1,60,59,0.007000," ","int((2*x^3+3*x^2+x+5)/x/(2*x^4+x^3+3*x^2+x+2),x)","-\frac{\sqrt{15}\, \arctan \left(\frac{\left(4 x -1\right) \sqrt{15}}{15}\right)}{18}+\frac{2 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}+\frac{5 \ln \left(x \right)}{2}-\ln \left(x^{2}+x +1\right)-\frac{\ln \left(2 x^{2}-x +2\right)}{4}"," ",0,"-1/4*ln(2*x^2-x+2)-1/18*15^(1/2)*arctan(1/15*(4*x-1)*15^(1/2))+5/2*ln(x)-ln(x^2+x+1)+2/9*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
248,1,65,64,0.009000," ","int((2*x^3+3*x^2+x+5)/x^2/(2*x^4+x^3+3*x^2+x+2),x)","-\frac{5 \sqrt{15}\, \arctan \left(\frac{\left(4 x -1\right) \sqrt{15}}{15}\right)}{36}-\frac{10 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}-\frac{3 \ln \left(x \right)}{4}+\frac{\ln \left(x^{2}+x +1\right)}{3}+\frac{\ln \left(2 x^{2}-x +2\right)}{24}-\frac{5}{2 x}"," ",0,"1/24*ln(2*x^2-x+2)-5/36*15^(1/2)*arctan(1/15*(4*x-1)*15^(1/2))-5/2/x-3/4*ln(x)+1/3*ln(x^2+x+1)-10/9*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
249,1,70,69,0.010000," ","int((2*x^3+3*x^2+x+5)/x^3/(2*x^4+x^3+3*x^2+x+2),x)","-\frac{\sqrt{15}\, \arctan \left(\frac{\left(4 x -1\right) \sqrt{15}}{15}\right)}{72}+\frac{8 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{9}-\frac{15 \ln \left(x \right)}{8}+\frac{2 \ln \left(x^{2}+x +1\right)}{3}+\frac{13 \ln \left(2 x^{2}-x +2\right)}{48}+\frac{3}{4 x}-\frac{5}{4 x^{2}}"," ",0,"13/48*ln(2*x^2-x+2)-1/72*15^(1/2)*arctan(1/15*(4*x-1)*15^(1/2))-5/4/x^2+3/4/x-15/8*ln(x)+2/3*ln(x^2+x+1)+8/9*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
250,1,74,217,0.008000," ","int(x^3*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x)","\frac{x^{3}}{3}+\frac{x^{2}}{2}-\frac{5 x}{2}+\frac{\left(3 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}+19 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}+\RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+10\right) \ln \left(-\RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+x \right)}{16 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}+6 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}+20 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+2}"," ",0,"1/3*x^3+1/2*x^2-5/2*x+1/2*sum((3*_R^3+19*_R^2+_R+10)/(8*_R^3+3*_R^2+10*_R+1)*ln(-_R+x),_R=RootOf(2*_Z^4+_Z^3+5*_Z^2+_Z+2))","C"
251,1,67,189,0.007000," ","int(x^2*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x)","\frac{x^{2}}{2}+x +\frac{\left(-5 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}-\RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}-3 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)-2\right) \ln \left(-\RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+x \right)}{8 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}+3 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}+10 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+1}"," ",0,"1/2*x^2+x+sum((-5*_R^3-_R^2-3*_R-2)/(8*_R^3+3*_R^2+10*_R+1)*ln(-_R+x),_R=RootOf(2*_Z^4+_Z^3+5*_Z^2+_Z+2))","C"
252,1,62,164,0.008000," ","int(x*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x)","x +\frac{2 \left(\RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}-2 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}+2 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)-1\right) \ln \left(-\RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+x \right)}{8 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}+3 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}+10 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+1}"," ",0,"x+2*sum((_R^3-2*_R^2+2*_R-1)/(8*_R^3+3*_R^2+10*_R+1)*ln(-_R+x),_R=RootOf(2*_Z^4+_Z^3+5*_Z^2+_Z+2))","C"
253,1,58,142,0.007000," ","int((2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x)","\frac{\left(2 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}+3 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}+\RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+5\right) \ln \left(-\RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+x \right)}{8 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}+3 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}+10 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+1}"," ",0,"sum((2*_R^3+3*_R^2+_R+5)/(8*_R^3+3*_R^2+10*_R+1)*ln(-_R+x),_R=RootOf(2*_Z^4+_Z^3+5*_Z^2+_Z+2))","C"
254,1,67,169,0.011000," ","int((2*x^3+3*x^2+x+5)/x/(2*x^4+x^3+5*x^2+x+2),x)","\frac{5 \ln \left(x \right)}{2}+\frac{\left(-10 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}-\RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}-19 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)-3\right) \ln \left(-\RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+x \right)}{16 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}+6 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}+20 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+2}"," ",0,"1/2*sum((-10*_R^3-_R^2-19*_R-3)/(8*_R^3+3*_R^2+10*_R+1)*ln(-_R+x),_R=RootOf(2*_Z^4+_Z^3+5*_Z^2+_Z+2))+5/2*ln(x)","C"
255,1,72,195,0.013000," ","int((2*x^3+3*x^2+x+5)/x^2/(2*x^4+x^3+5*x^2+x+2),x)","-\frac{3 \ln \left(x \right)}{4}+\frac{\left(6 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}-17 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}+13 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)-35\right) \ln \left(-\RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+x \right)}{32 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}+12 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}+40 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+4}-\frac{5}{2 x}"," ",0,"1/4*sum((6*_R^3-17*_R^2+13*_R-35)/(8*_R^3+3*_R^2+10*_R+1)*ln(-_R+x),_R=RootOf(2*_Z^4+_Z^3+5*_Z^2+_Z+2))-5/2/x-3/4*ln(x)","C"
256,1,77,221,0.012000," ","int((2*x^3+3*x^2+x+5)/x^3/(2*x^4+x^3+5*x^2+x+2),x)","-\frac{35 \ln \left(x \right)}{8}+\frac{\left(70 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}+47 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}+141 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+61\right) \ln \left(-\RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+x \right)}{64 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{3}+24 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)^{2}+80 \RootOf \left(2 \textit{\_Z}^{4}+\textit{\_Z}^{3}+5 \textit{\_Z}^{2}+\textit{\_Z} +2\right)+8}+\frac{3}{4 x}-\frac{5}{4 x^{2}}"," ",0,"1/8*sum((70*_R^3+47*_R^2+141*_R+61)/(8*_R^3+3*_R^2+10*_R+1)*ln(-_R+x),_R=RootOf(2*_Z^4+_Z^3+5*_Z^2+_Z+2))-5/4/x^2+3/4/x-35/8*ln(x)","C"
257,1,75,19,0.095000," ","int(x^2*(b*x^2+3*a)/(c^2*x^6+b^2*x^4+2*a*b*x^2+a^2),x)","\frac{\left(\RootOf \left(c^{2} \textit{\_Z}^{6}+b^{2} \textit{\_Z}^{4}+2 a b \,\textit{\_Z}^{2}+a^{2}\right)^{4} b +3 \RootOf \left(c^{2} \textit{\_Z}^{6}+b^{2} \textit{\_Z}^{4}+2 a b \,\textit{\_Z}^{2}+a^{2}\right)^{2} a \right) \ln \left(-\RootOf \left(c^{2} \textit{\_Z}^{6}+b^{2} \textit{\_Z}^{4}+2 a b \,\textit{\_Z}^{2}+a^{2}\right)+x \right)}{6 \RootOf \left(c^{2} \textit{\_Z}^{6}+b^{2} \textit{\_Z}^{4}+2 a b \,\textit{\_Z}^{2}+a^{2}\right)^{5} c^{2}+4 \RootOf \left(c^{2} \textit{\_Z}^{6}+b^{2} \textit{\_Z}^{4}+2 a b \,\textit{\_Z}^{2}+a^{2}\right)^{3} b^{2}+4 \RootOf \left(c^{2} \textit{\_Z}^{6}+b^{2} \textit{\_Z}^{4}+2 a b \,\textit{\_Z}^{2}+a^{2}\right) a b}"," ",0,"1/2*sum((_R^4*b+3*_R^2*a)/(3*_R^5*c^2+2*_R^3*b^2+2*_R*a*b)*ln(-_R+x),_R=RootOf(_Z^6*c^2+_Z^4*b^2+2*_Z^2*a*b+a^2))","C"
258,1,34,35,0.009000," ","int((-3*x^4+1)/(-2+x)/(x^2+1)^2,x)","-\frac{46 \arctan \left(x \right)}{25}-\frac{47 \ln \left(x -2\right)}{25}-\frac{14 \ln \left(x^{2}+1\right)}{25}-\frac{2 \left(-5 x +\frac{5}{2}\right)}{25 \left(x^{2}+1\right)}"," ",0,"-2/25*(-5*x+5/2)/(x^2+1)-14/25*ln(x^2+1)-46/25*arctan(x)-47/25*ln(-2+x)","A"
259,1,16,17,0.008000," ","int((2*x^2-9*x-9)/(x^3-9*x),x)","\ln \left(x \right)-\ln \left(x -3\right)+2 \ln \left(x +3\right)"," ",0,"2*ln(3+x)-ln(-3+x)+ln(x)","A"
260,1,22,23,0.006000," ","int((x^5+2*x^2+1)/(x^3-x),x)","\frac{x^{3}}{3}+x -\ln \left(x \right)+2 \ln \left(x -1\right)+\ln \left(x +1\right)"," ",0,"1/3*x^3+x+2*ln(x-1)+ln(x+1)-ln(x)","A"
261,1,19,22,0.007000," ","int((2*x^2+3)/(x-1)^2/x,x)","3 \ln \left(x \right)-\ln \left(x -1\right)-\frac{5}{x -1}"," ",0,"-5/(x-1)-ln(x-1)+3*ln(x)","A"
262,1,22,21,0.007000," ","int((2*x^2-1)/(4*x-1)/(x^2+1),x)","\frac{3 \arctan \left(x \right)}{17}-\frac{7 \ln \left(4 x -1\right)}{34}+\frac{6 \ln \left(x^{2}+1\right)}{17}"," ",0,"6/17*ln(x^2+1)+3/17*arctan(x)-7/34*ln(4*x-1)","A"
263,1,18,17,0.001000," ","int((x^3-3*x^2+2*x-3)/(x^2+1),x)","\frac{x^{2}}{2}-3 x +\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"-3*x+1/2*x^2+1/2*ln(x^2+1)","A"
264,1,24,23,0.005000," ","int((x^4+6*x^3+10*x^2+x)/(x^2+6*x+10),x)","\frac{x^{3}}{3}-3 \arctan \left(x +3\right)+\frac{\ln \left(x^{2}+6 x +10\right)}{2}"," ",0,"1/3*x^3-3*arctan(x+3)+1/2*ln(x^2+6*x+10)","A"
265,1,26,31,0.009000," ","int(1/(x^4-3*x^3-7*x^2+27*x-18),x)","\frac{\ln \left(x -3\right)}{12}-\frac{\ln \left(x -2\right)}{5}+\frac{\ln \left(x -1\right)}{8}-\frac{\ln \left(x +3\right)}{120}"," ",0,"1/8*ln(x-1)-1/5*ln(x-2)-1/120*ln(x+3)+1/12*ln(x-3)","A"
266,1,19,20,0.002000," ","int((x^3+1)/(x-2),x)","\frac{x^{3}}{3}+x^{2}+4 x +9 \ln \left(x -2\right)"," ",0,"1/3*x^3+x^2+4*x+9*ln(x-2)","A"
267,1,14,13,0.003000," ","int((3*x^3-4*x^2+3*x)/(x^2+1),x)","\frac{3 x^{2}}{2}-4 x +4 \arctan \left(x \right)"," ",0,"-4*x+3/2*x^2+4*arctan(x)","A"
268,1,21,12,0.008000," ","int((5+3*x)/(x^3-x^2-x+1),x)","-\frac{\ln \left(x -1\right)}{2}+\frac{\ln \left(x +1\right)}{2}-\frac{4}{x -1}"," ",0,"-4/(x-1)-1/2*ln(x-1)+1/2*ln(x+1)","A"
269,1,22,23,0.007000," ","int((x^4-x^3-x-1)/(x^3-x^2),x)","\frac{x^{2}}{2}+2 \ln \left(x \right)-2 \ln \left(x -1\right)-\frac{1}{x}"," ",0,"1/2*x^2-2*ln(x-1)-1/x+2*ln(x)","A"
270,1,12,11,0.005000," ","int((x^3+x^2+x+2)/(x^4+3*x^2+2),x)","\arctan \left(x \right)+\frac{\ln \left(x^{2}+2\right)}{2}"," ",0,"arctan(x)+1/2*ln(x^2+2)","A"
271,1,31,30,0.007000," ","int((x^5-x^4+4*x^3-4*x^2+8*x-4)/(x^2+2)^3,x)","-\frac{\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{2}\right)}{2}+\frac{\ln \left(x^{2}+2\right)}{2}-\frac{1}{\left(x^{2}+2\right)^{2}}"," ",0,"-1/(x^2+2)^2+1/2*ln(x^2+2)-1/2*arctan(1/2*x*2^(1/2))*2^(1/2)","A"
272,1,18,19,0.009000," ","int((x^2-3*x-1)/(x^3+x^2-2*x),x)","\frac{\ln \left(x \right)}{2}-\ln \left(x -1\right)+\frac{3 \ln \left(x +2\right)}{2}"," ",0,"-ln(x-1)+3/2*ln(x+2)+1/2*ln(x)","A"
273,1,20,19,0.006000," ","int((x^4-2*x^3+3*x^2-x+3)/(x^3-2*x^2+3*x),x)","\frac{x^{2}}{2}+\ln \left(x \right)-\frac{\ln \left(x^{2}-2 x +3\right)}{2}"," ",0,"1/2*x^2+ln(x)-1/2*ln(x^2-2*x+3)","A"
274,1,24,23,0.006000," ","int((x^3+x-1)/(x^2+1)^2,x)","-\frac{x}{2 \left(x^{2}+1\right)}-\frac{\arctan \left(x \right)}{2}+\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"-1/2*x/(x^2+1)-1/2*arctan(x)+1/2*ln(x^2+1)","A"
275,1,42,41,0.010000," ","int((x^4+8*x^3-x^2+2*x+1)/(x^2+x)/(x^3+1),x)","\frac{2 \sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}+\ln \left(x \right)-2 \ln \left(x +1\right)+\ln \left(x^{2}-x +1\right)-\frac{3}{x +1}"," ",0,"ln(x^2-x+1)+2/3*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))-3/(x+1)-2*ln(x+1)+ln(x)","A"
276,1,41,38,0.005000," ","int((x^3+x^2-5*x+15)/(x^2+5)/(x^2+2*x+3),x)","-\sqrt{5}\, \arctan \left(\frac{\sqrt{5}\, x}{5}\right)+\frac{5 \sqrt{2}\, \arctan \left(\frac{\left(2 x +2\right) \sqrt{2}}{4}\right)}{2}+\frac{\ln \left(x^{2}+2 x +3\right)}{2}"," ",0,"-arctan(1/5*5^(1/2)*x)*5^(1/2)+1/2*ln(x^2+2*x+3)+5/2*2^(1/2)*arctan(1/4*(2*x+2)*2^(1/2))","A"
277,1,34,33,0.012000," ","int((x^6+7*x^5+15*x^4+32*x^3+23*x^2+25*x-3)/(x^2+1)^2/(x^2+x+2)^2,x)","\ln \left(x^{2}+1\right)-\ln \left(x^{2}+x +2\right)-\frac{3}{x^{2}+1}+\frac{1}{x^{2}+x +2}"," ",0,"-3/(x^2+1)+1/(x^2+x+2)+ln(x^2+1)-ln(x^2+x+2)","A"
278,1,12,11,0.007000," ","int(1/(x^2+1)/(x^2+4),x)","\frac{\arctan \left(x \right)}{3}-\frac{\arctan \left(\frac{x}{2}\right)}{6}"," ",0,"-1/6*arctan(1/2*x)+1/3*arctan(x)","A"
279,1,21,20,0.003000," ","int((b*x^3+a)/(x^2+1),x)","\frac{b \,x^{2}}{2}+a \arctan \left(x \right)-\frac{b \ln \left(x^{2}+1\right)}{2}"," ",0,"1/2*b*x^2+a*arctan(x)-1/2*b*ln(x^2+1)","A"
280,1,18,11,0.008000," ","int((x^2+x)/(4+x)/(x^2-4),x)","\frac{\ln \left(x -2\right)}{4}-\frac{\ln \left(x +2\right)}{4}+\ln \left(x +4\right)"," ",0,"ln(4+x)+1/4*ln(x-2)-1/4*ln(x+2)","A"
281,1,18,17,0.007000," ","int((x^2+4)/(x^2+1)/(x^2+2),x)","3 \arctan \left(x \right)-\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{2}\right)"," ",0,"3*arctan(x)-2^(1/2)*arctan(1/2*2^(1/2)*x)","A"
282,1,28,31,0.007000," ","int((x^4+3*x^2-4*x+5)/(x-1)^2/(x^2+1),x)","x +2 \arctan \left(x \right)+\frac{\ln \left(x -1\right)}{2}+\frac{3 \ln \left(x^{2}+1\right)}{4}-\frac{5}{2 \left(x -1\right)}"," ",0,"x-5/2/(x-1)+1/2*ln(x-1)+3/4*ln(x^2+1)+2*arctan(x)","A"
283,1,22,21,0.002000," ","int((x^4+1)/(x^2+2),x)","\frac{x^{3}}{3}-2 x +\frac{5 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{2}\right)}{2}"," ",0,"-2*x+1/3*x^3+5/2*2^(1/2)*arctan(1/2*2^(1/2)*x)","A"
284,1,11,10,0.006000," ","int((x^4+2*x+2)/(x^5+x^4),x)","\ln \left(x +1\right)-\frac{2}{3 x^{3}}"," ",0,"-2/3/x^3+ln(x+1)","A"
285,1,18,21,0.008000," ","int((2*x^2-5*x-1)/(x^3-2*x^2-x+2),x)","-\ln \left(x -2\right)+2 \ln \left(x -1\right)+\ln \left(x +1\right)"," ",0,"2*ln(x-1)-ln(x-2)+ln(x+1)","A"
286,1,21,20,0.005000," ","int((x^3+x+2)/(x^4+2*x^2+1),x)","\frac{x}{x^{2}+1}+\arctan \left(x \right)+\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"1/(x^2+1)*x+arctan(x)+1/2*ln(x^2+1)","A"
287,1,21,20,0.007000," ","int((x^3+x^2+2*x+1)/(x^4+2*x^2+1),x)","\arctan \left(x \right)+\frac{\ln \left(x^{2}+1\right)}{2}-\frac{1}{2 \left(x^{2}+1\right)}"," ",0,"-1/2/(x^2+1)+arctan(x)+1/2*ln(x^2+1)","A"
288,1,34,33,0.005000," ","int((3+4*x)/(x^2+1)/(x^2+2),x)","3 \arctan \left(x \right)-\frac{3 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{2}\right)}{2}+2 \ln \left(x^{2}+1\right)-2 \ln \left(x^{2}+2\right)"," ",0,"3*arctan(x)+2*ln(x^2+1)-2*ln(x^2+2)-3/2*2^(1/2)*arctan(1/2*2^(1/2)*x)","A"
289,1,28,27,0.003000," ","int((x+2)/(x^2+1)/(x^2+4),x)","\frac{2 \arctan \left(x \right)}{3}-\frac{\arctan \left(\frac{x}{2}\right)}{3}+\frac{\ln \left(x^{2}+1\right)}{6}-\frac{\ln \left(x^{2}+4\right)}{6}"," ",0,"-1/3*arctan(1/2*x)+2/3*arctan(x)+1/6*ln(x^2+1)-1/6*ln(x^2+4)","A"
290,1,22,23,0.006000," ","int((x^3-x+2)/(x^2-6*x-7),x)","\frac{x^{2}}{2}+6 x -\frac{\ln \left(x +1\right)}{4}+\frac{169 \ln \left(x -7\right)}{4}"," ",0,"1/2*x^2+6*x-1/4*ln(x+1)+169/4*ln(x-7)","A"
291,1,16,15,0.002000," ","int((x^5-1)/(x^2-1),x)","\frac{x^{4}}{4}+\frac{x^{2}}{2}+\ln \left(x +1\right)"," ",0,"1/2*x^2+1/4*x^4+ln(x+1)","A"
292,1,35,34,0.005000," ","int((x^3-x^2+2*x+5)/(x^2+x+1),x)","\frac{x^{2}}{2}-2 x +\frac{11 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\frac{3 \ln \left(x^{2}+x +1\right)}{2}"," ",0,"-2*x+1/2*x^2+3/2*ln(x^2+x+1)+11/3*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
293,1,32,31,0.004000," ","int((x^4-2*x^3+x-3)/(2*x^2-8*x+10),x)","\frac{x^{3}}{6}+\frac{x^{2}}{2}+\frac{3 x}{2}-6 \arctan \left(x -2\right)+\frac{3 \ln \left(x^{2}-4 x +5\right)}{4}"," ",0,"3/2*x+1/2*x^2+1/6*x^3-6*arctan(x-2)+3/4*ln(x^2-4*x+5)","A"
294,1,21,26,0.007000," ","int((x^3+3*x^2+2*x+1)/(x-3)/(x-2)/(x-1),x)","x +\frac{61 \ln \left(x -3\right)}{2}-25 \ln \left(x -2\right)+\frac{7 \ln \left(x -1\right)}{2}"," ",0,"x+7/2*ln(x-1)-25*ln(x-2)+61/2*ln(x-3)","A"
295,1,28,29,0.008000," ","int((x^4-x^3+x^2-7*x+2)/(x^3+x^2-14*x-24),x)","\frac{x^{2}}{2}-2 x -\frac{22 \ln \left(x +2\right)}{3}+20 \ln \left(x +3\right)+\frac{13 \ln \left(x -4\right)}{3}"," ",0,"-2*x+1/2*x^2-22/3*ln(x+2)+13/3*ln(x-4)+20*ln(x+3)","A"
296,1,25,28,0.008000," ","int((x^2+2)/(x-1)^2/x/(x+1),x)","2 \ln \left(x \right)-\frac{5 \ln \left(x -1\right)}{4}-\frac{3 \ln \left(x +1\right)}{4}-\frac{3}{2 \left(x -1\right)}"," ",0,"-3/2/(x-1)-5/4*ln(x-1)-3/4*ln(x+1)+2*ln(x)","A"
297,1,35,33,0.006000," ","int((x^3+x^2+3)/(x^2+2)^2,x)","\frac{5 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{2}\right)}{8}+\frac{\ln \left(x^{2}+2\right)}{2}+\frac{\frac{x}{4}+1}{x^{2}+2}"," ",0,"(1/4*x+1)/(x^2+2)+1/2*ln(x^2+2)+5/8*2^(1/2)*arctan(1/2*2^(1/2)*x)","A"
298,1,38,37,0.006000," ","int((2*x^3-4*x^2+70*x-35)/(x^2-10*x+26)/(x^2-2*x+17),x)","\frac{15033 \arctan \left(x -5\right)}{1025}-\frac{4607 \arctan \left(\frac{x}{4}-\frac{1}{4}\right)}{4100}+\frac{1003 \ln \left(x^{2}-10 x +26\right)}{1025}+\frac{22 \ln \left(x^{2}-2 x +17\right)}{1025}"," ",0,"15033/1025*arctan(-5+x)-4607/4100*arctan(-1/4+1/4*x)+1003/1025*ln(x^2-10*x+26)+22/1025*ln(x^2-2*x+17)","A"
299,1,20,23,0.008000," ","int((x^2+2)/(x-5)/(x-3)/(x+4),x)","\frac{3 \ln \left(x -5\right)}{2}-\frac{11 \ln \left(x -3\right)}{14}+\frac{2 \ln \left(x +4\right)}{7}"," ",0,"2/7*ln(x+4)-11/14*ln(x-3)+3/2*ln(x-5)","A"
300,1,34,35,0.006000," ","int(x^4/(x-1)/(x^2+2),x)","\frac{x^{2}}{2}+x -\frac{2 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{2}\right)}{3}+\frac{\ln \left(x -1\right)}{3}-\frac{2 \ln \left(x^{2}+2\right)}{3}"," ",0,"1/2*x^2+x+1/3*ln(x-1)-2/3*ln(x^2+2)-2/3*2^(1/2)*arctan(1/2*2^(1/2)*x)","A"
301,1,15,16,0.004000," ","int((2*x^2+7*x-1)/(x^3+x^2-x-1),x)","2 \ln \left(x -1\right)-\frac{3}{x +1}"," ",0,"2*ln(x-1)-3/(x+1)","A"
302,1,16,19,0.004000," ","int((2*x+1)/(x^3-3*x^2+3*x-1),x)","-\frac{3}{2 \left(x -1\right)^{2}}-\frac{2}{x -1}"," ",0,"-3/2/(x-1)^2-2/(x-1)","A"
303,1,16,15,0.005000," ","int((x^3+7*x^2-5*x+5)/(x-1)^2/(x+1)^3,x)","-\frac{2}{\left(x +1\right)^{2}}-\frac{1}{x -1}"," ",0,"-2/(x+1)^2-1/(x-1)","A"
304,1,29,28,0.005000," ","int((3*x^2+3*x+1)/(x^3+2*x^2+2*x+1),x)","-\frac{2 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\ln \left(x +1\right)+\ln \left(x^{2}+x +1\right)"," ",0,"ln(x+1)+ln(x^2+x+1)-2/3*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
305,1,20,19,0.007000," ","int((x^2+2*x-1)/(2*x^3+3*x^2-2*x),x)","\frac{\ln \left(x \right)}{2}+\frac{\ln \left(2 x -1\right)}{10}-\frac{\ln \left(x +2\right)}{10}"," ",0,"1/10*ln(2*x-1)-1/10*ln(x+2)+1/2*ln(x)","A"
306,1,25,28,0.006000," ","int((x^4-2*x^2+4*x+1)/(x^3-x^2-x+1),x)","\frac{x^{2}}{2}+x +\ln \left(x -1\right)-\ln \left(x +1\right)-\frac{2}{x -1}"," ",0,"1/2*x^2+x+ln(x-1)-2/(x-1)-ln(x+1)","A"
307,1,18,17,0.005000," ","int((2*x^2-x+4)/(x^3+4*x),x)","-\frac{\arctan \left(\frac{x}{2}\right)}{2}+\ln \left(x \right)+\frac{\ln \left(x^{2}+4\right)}{2}"," ",0,"-1/2*arctan(1/2*x)+ln(x)+1/2*ln(x^2+4)","A"
308,1,73,86,0.013000," ","int((x^3+x^2+1)/(x-1)/x/(x^2+1)^3/(x^2+x+1),x)","\frac{7 \arctan \left(x \right)}{16}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}-\ln \left(x \right)+\frac{\ln \left(x -1\right)}{8}+\frac{15 \ln \left(x^{2}+1\right)}{16}-\frac{\ln \left(x^{2}+x +1\right)}{2}+\frac{\frac{9}{2} x^{3}-3 x^{2}+\frac{11}{2} x -2}{8 \left(x^{2}+1\right)^{2}}"," ",0,"1/8*ln(x-1)+1/8*(9/2*x^3-3*x^2+11/2*x-2)/(x^2+1)^2+15/16*ln(x^2+1)+7/16*arctan(x)-ln(x)-1/2*ln(x^2+x+1)-1/3*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
309,1,28,27,0.005000," ","int((-x^3+2*x^2-3*x+1)/(x^2+1)^2,x)","\frac{3 \arctan \left(x \right)}{2}-\frac{\ln \left(x^{2}+1\right)}{2}-\frac{\frac{x}{2}-1}{x^{2}+1}"," ",0,"-(1/2*x-1)/(x^2+1)-1/2*ln(x^2+1)+3/2*arctan(x)","A"
310,1,28,29,0.008000," ","int((-x^3+2*x^2-3*x+1)/x/(x^2+1)^2,x)","-2 \arctan \left(x \right)+\ln \left(x \right)-\frac{\ln \left(x^{2}+1\right)}{2}-\frac{x +\frac{1}{2}}{x^{2}+1}"," ",0,"-(x+1/2)/(x^2+1)-1/2*ln(x^2+1)-2*arctan(x)+ln(x)","A"
311,1,24,21,0.007000," ","int((x^4+x^3-x^2-x+1)/(x^3-x),x)","\frac{x^{2}}{2}+x -\ln \left(x \right)+\frac{\ln \left(x -1\right)}{2}+\frac{\ln \left(x +1\right)}{2}"," ",0,"1/2*x^2+x+1/2*ln(x-1)+1/2*ln(x+1)-ln(x)","A"
312,1,32,31,0.004000," ","int((x^3-4*x^2+2)/(x^2+1)/(x^2+2),x)","6 \arctan \left(x \right)-5 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{2}\right)-\frac{\ln \left(x^{2}+1\right)}{2}+\ln \left(x^{2}+2\right)"," ",0,"6*arctan(x)-1/2*ln(x^2+1)+ln(x^2+2)-5*2^(1/2)*arctan(1/2*2^(1/2)*x)","A"
313,1,22,21,0.009000," ","int((x^4+x^2+1)/(x^2+1)/(x^2+4)^2,x)","-\frac{13 x}{24 \left(x^{2}+4\right)}+\frac{\arctan \left(x \right)}{9}+\frac{25 \arctan \left(\frac{x}{2}\right)}{144}"," ",0,"-13/24*x/(x^2+4)+25/144*arctan(1/2*x)+1/9*arctan(x)","A"
314,1,36,35,0.008000," ","int((x^3+x^2+1)/(x^4+x^3+2*x^2),x)","\frac{\sqrt{7}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{7}}{7}\right)}{28}-\frac{\ln \left(x \right)}{4}+\frac{5 \ln \left(x^{2}+x +2\right)}{8}-\frac{1}{2 x}"," ",0,"-1/2/x-1/4*ln(x)+5/8*ln(x^2+x+2)+1/28*arctan(1/7*(2*x+1)*7^(1/2))*7^(1/2)","A"
315,1,19,14,0.005000," ","int((x^3+x^2-12*x+1)/(x^2+x-12),x)","\frac{x^{2}}{2}+\frac{\ln \left(x -3\right)}{7}-\frac{\ln \left(x +4\right)}{7}"," ",0,"1/2*x^2-1/7*ln(x+4)+1/7*ln(x-3)","A"
316,1,16,17,0.007000," ","int((6*x^2+5*x-3)/(x^3+2*x^2-3*x),x)","\ln \left(x \right)+2 \ln \left(x -1\right)+3 \ln \left(x +3\right)"," ",0,"2*ln(x-1)+3*ln(x+3)+ln(x)","A"
317,1,15,14,0.007000," ","int((5*x^2+3*x-2)/(x^3+2*x^2),x)","2 \ln \left(x \right)+3 \ln \left(x +2\right)+\frac{1}{x}"," ",0,"1/x+2*ln(x)+3*ln(x+2)","A"
318,1,18,19,0.007000," ","int((-4*x^2-2*x+18)/(x^3+4*x^2+x-6),x)","\ln \left(x -1\right)-2 \ln \left(x +2\right)-3 \ln \left(x +3\right)"," ",0,"ln(x-1)-2*ln(x+2)-3*ln(x+3)","A"
319,1,18,17,0.006000," ","int((x^3-2*x^2+x+1)/(x^4+5*x^2+4),x)","\arctan \left(x \right)-\frac{3 \arctan \left(\frac{x}{2}\right)}{2}+\frac{\ln \left(x^{2}+4\right)}{2}"," ",0,"-3/2*arctan(1/2*x)+arctan(x)+1/2*ln(x^2+4)","A"
320,1,51,50,0.010000," ","int((4*x^3-27*x^2+5*x-32)/(30*x^5-13*x^4+50*x^3-286*x^2-299*x-70),x)","\frac{3988 \sqrt{19}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{19}}{19}\right)}{260015}-\frac{334 \ln \left(2 x +1\right)}{323}+\frac{4822 \ln \left(5 x +2\right)}{4879}-\frac{3146 \ln \left(3 x -7\right)}{80155}+\frac{11049 \ln \left(x^{2}+x +5\right)}{260015}"," ",0,"4822/4879*ln(2+5*x)-3146/80155*ln(3*x-7)-334/323*ln(2*x+1)+11049/260015*ln(x^2+x+5)+3988/260015*arctan(1/19*(2*x+1)*19^(1/2))*19^(1/2)","A"
321,1,54,55,0.014000," ","int((12*x^5-7*x^3-13*x^2+8)/(100*x^6-80*x^5+116*x^4-80*x^3+41*x^2-20*x+4),x)","\frac{503 \sqrt{2}\, \arctan \left(\sqrt{2}\, x \right)}{15972}-\frac{59096 \ln \left(5 x -2\right)}{99825}+\frac{2843 \ln \left(2 x^{2}+1\right)}{7986}-\frac{5828}{9075 \left(5 x -2\right)}+\frac{-\frac{2761 x}{4}-\frac{3443}{8}}{3993 x^{2}+\frac{3993}{2}}"," ",0,"-5828/9075/(5*x-2)-59096/99825*ln(5*x-2)+1/3993*(-2761/4*x-3443/8)/(x^2+1/2)+2843/7986*ln(2*x^2+1)+503/15972*arctan(2^(1/2)*x)*2^(1/2)","A"
322,1,14,13,0.006000," ","int((x^4+9)/x^2/(x^2+9),x)","x -\frac{10 \arctan \left(\frac{x}{3}\right)}{3}-\frac{1}{x}"," ",0,"-1/x+x-10/3*arctan(1/3*x)","A"
323,1,18,17,0.004000," ","int((x^4+2*x)/(x^2+1),x)","\frac{x^{3}}{3}-x +\arctan \left(x \right)+\ln \left(x^{2}+1\right)"," ",0,"-x+1/3*x^3+arctan(x)+ln(x^2+1)","A"
324,1,8,9,0.005000," ","int((x^3-x)/(x-1)^2/(x^2+1),x)","\arctan \left(x \right)+\ln \left(x -1\right)"," ",0,"ln(x-1)+arctan(x)","A"
325,1,13,12,0.002000," ","int((2*x^3+3*x^2+5*x+2)/(x^2+x+1),x)","x^{2}+x +\ln \left(x^{2}+x +1\right)"," ",0,"x+x^2+ln(x^2+x+1)","A"
326,1,41,51,0.008000," ","int((3*x^3-5*x^2-4*x+3)/x^3/(x^2+x-1),x)","-\frac{\sqrt{5}\, \arctanh \left(\frac{\left(2 x +1\right) \sqrt{5}}{5}\right)}{5}+3 \ln \left(x \right)-\frac{3 \ln \left(x^{2}+x -1\right)}{2}-\frac{1}{x}+\frac{3}{2 x^{2}}"," ",0,"-3/2*ln(x^2+x-1)-1/5*5^(1/2)*arctanh(1/5*(2*x+1)*5^(1/2))-1/x+3/2/x^2+3*ln(x)","A"
327,1,29,28,0.006000," ","int((2*x^3+5*x^2+8*x+4)/(x^2+2*x+2)^2,x)","-\arctan \left(x +1\right)+\ln \left(x^{2}+2 x +2\right)-\frac{1}{x^{2}+2 x +2}"," ",0,"-1/(x^2+2*x+2)-arctan(x+1)+ln(x^2+2*x+2)","A"
328,1,27,26,0.004000," ","int((x-1)^4*x^4/(x^2+1),x)","\frac{x^{7}}{7}-\frac{2 x^{6}}{3}+x^{5}-\frac{4 x^{3}}{3}+4 x -4 \arctan \left(x \right)"," ",0,"4*x-4/3*x^3+x^5-2/3*x^6+1/7*x^7-4*arctan(x)","A"
329,1,24,27,0.008000," ","int((4*x^2-20*x)/(x^4-10*x^2+9),x)","-\frac{\ln \left(x -3\right)}{2}+\ln \left(x -1\right)+\frac{3 \ln \left(x +1\right)}{2}-2 \ln \left(x +3\right)"," ",0,"ln(x-1)+3/2*ln(x+1)-2*ln(x+3)-1/2*ln(x-3)","A"
330,1,23,24,0.006000," ","int((4*x^3+x-1)/(x-1)/x^2/(x^2+1),x)","\arctan \left(x \right)+2 \ln \left(x -1\right)-\ln \left(x^{2}+1\right)-\frac{1}{x}"," ",0,"2*ln(x-1)-1/x-ln(x^2+1)+arctan(x)","A"
331,1,19,21,0.006000," ","int((x^4-4*x^3+2*x^2-3*x+1)/(x^2+1)^3,x)","\arctan \left(x \right)+\frac{2 x^{2}+\frac{7}{4}}{\left(x^{2}+1\right)^{2}}"," ",0,"(2*x^2+7/4)/(x^2+1)^2+arctan(x)","A"
332,1,19,21,0.005000," ","int((x^4-4*x^3+2*x^2-3*x+1)/(x^6+3*x^4+3*x^2+1),x)","\arctan \left(x \right)+\frac{2 x^{2}+\frac{7}{4}}{\left(x^{2}+1\right)^{2}}"," ",0,"arctan(x)+(2*x^2+7/4)/(x^2+1)^2","A"
333,1,14,13,0.005000," ","int((2*x^3+2*x^2+x+1)/(x^4+x^3+x^2),x)","\ln \left(x^{2}+x +1\right)-\frac{1}{x}"," ",0,"-1/x+ln(x^2+x+1)","A"
334,1,236,154,0.008000," ","int(x^2*(d*x+c)^2/(b*x^3+a),x)","\frac{d^{2} x^{2}}{2 b}-\frac{2 \sqrt{3}\, a c d \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}-\frac{2 a c d \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}+\frac{a c d \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{2}{3}} b^{2}}-\frac{\sqrt{3}\, a \,d^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}+\frac{a \,d^{2} \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}-\frac{a \,d^{2} \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{a}{b}\right)^{\frac{1}{3}} b^{2}}+\frac{c^{2} \ln \left(b \,x^{3}+a \right)}{3 b}+\frac{2 c d x}{b}"," ",0,"1/2*d^2*x^2/b+2*c*d*x/b-2/3/b^2*a*c*d/(a/b)^(2/3)*ln(x+(a/b)^(1/3))+1/3/b^2*a*c*d/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))-2/3/b^2*a*c*d/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))+1/3/b^2*a*d^2/(a/b)^(1/3)*ln(x+(a/b)^(1/3))-1/6/b^2*a*d^2/(a/b)^(1/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))-1/3/b^2*a*d^2*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))+1/3*c^2*ln(b*x^3+a)/b","A"
335,1,41,38,0.009000," ","int((4*x^5+2*x^3-x)/(x^4+2*x^2+3)^2,x)","\frac{9 \sqrt{2}\, \arctan \left(\frac{\left(2 x^{2}+2\right) \sqrt{2}}{4}\right)}{16}+\frac{-\frac{7 x^{2}}{4}+\frac{5}{4}}{2 x^{4}+4 x^{2}+6}"," ",0,"1/2*(-7/4*x^2+5/4)/(x^4+2*x^2+3)+9/16*2^(1/2)*arctan(1/4*(2*x^2+2)*2^(1/2))","A"
336,1,41,55,0.010000," ","int((x^5+x)/(2*x^4+2*x^2+1)^3,x)","\arctan \left(2 x^{2}+1\right)+\frac{2 x^{6}+3 x^{4}+\frac{9}{4} x^{2}+\frac{11}{16}}{\left(2 x^{4}+2 x^{2}+1\right)^{2}}"," ",0,"2*(x^6+3/2*x^4+9/8*x^2+11/32)/(2*x^4+2*x^2+1)^2+arctan(2*x^2+1)","A"
337,1,616,171,0.061000," ","int((c*x^2+b*x+a)/(f*x^4+e*x^2+d),x)","-\frac{2 \sqrt{2}\, c d f \arctanh \left(\frac{\sqrt{2}\, f x}{\sqrt{\left(-e +\sqrt{-4 d f +e^{2}}\right) f}}\right)}{\left(4 d f -e^{2}\right) \sqrt{\left(-e +\sqrt{-4 d f +e^{2}}\right) f}}+\frac{2 \sqrt{2}\, c d f \arctan \left(\frac{\sqrt{2}\, f x}{\sqrt{\left(e +\sqrt{-4 d f +e^{2}}\right) f}}\right)}{\left(4 d f -e^{2}\right) \sqrt{\left(e +\sqrt{-4 d f +e^{2}}\right) f}}+\frac{\sqrt{2}\, c \,e^{2} \arctanh \left(\frac{\sqrt{2}\, f x}{\sqrt{\left(-e +\sqrt{-4 d f +e^{2}}\right) f}}\right)}{2 \left(4 d f -e^{2}\right) \sqrt{\left(-e +\sqrt{-4 d f +e^{2}}\right) f}}-\frac{\sqrt{2}\, c \,e^{2} \arctan \left(\frac{\sqrt{2}\, f x}{\sqrt{\left(e +\sqrt{-4 d f +e^{2}}\right) f}}\right)}{2 \left(4 d f -e^{2}\right) \sqrt{\left(e +\sqrt{-4 d f +e^{2}}\right) f}}+\frac{\sqrt{-4 d f +e^{2}}\, \sqrt{2}\, a f \arctanh \left(\frac{\sqrt{2}\, f x}{\sqrt{\left(-e +\sqrt{-4 d f +e^{2}}\right) f}}\right)}{\left(4 d f -e^{2}\right) \sqrt{\left(-e +\sqrt{-4 d f +e^{2}}\right) f}}+\frac{\sqrt{-4 d f +e^{2}}\, \sqrt{2}\, a f \arctan \left(\frac{\sqrt{2}\, f x}{\sqrt{\left(e +\sqrt{-4 d f +e^{2}}\right) f}}\right)}{\left(4 d f -e^{2}\right) \sqrt{\left(e +\sqrt{-4 d f +e^{2}}\right) f}}-\frac{\sqrt{-4 d f +e^{2}}\, \sqrt{2}\, c e \arctanh \left(\frac{\sqrt{2}\, f x}{\sqrt{\left(-e +\sqrt{-4 d f +e^{2}}\right) f}}\right)}{2 \left(4 d f -e^{2}\right) \sqrt{\left(-e +\sqrt{-4 d f +e^{2}}\right) f}}-\frac{\sqrt{-4 d f +e^{2}}\, \sqrt{2}\, c e \arctan \left(\frac{\sqrt{2}\, f x}{\sqrt{\left(e +\sqrt{-4 d f +e^{2}}\right) f}}\right)}{2 \left(4 d f -e^{2}\right) \sqrt{\left(e +\sqrt{-4 d f +e^{2}}\right) f}}-\frac{\sqrt{-4 d f +e^{2}}\, b \ln \left(-2 f \,x^{2}-e +\sqrt{-4 d f +e^{2}}\right)}{2 \left(4 d f -e^{2}\right)}+\frac{\sqrt{-4 d f +e^{2}}\, b \ln \left(2 f \,x^{2}+e +\sqrt{-4 d f +e^{2}}\right)}{8 d f -2 e^{2}}"," ",0,"-1/2*(-4*d*f+e^2)^(1/2)/(4*d*f-e^2)*b*ln(-2*f*x^2+(-4*d*f+e^2)^(1/2)-e)-2*f/(4*d*f-e^2)*2^(1/2)/(((-4*d*f+e^2)^(1/2)-e)*f)^(1/2)*arctanh(f*x*2^(1/2)/(((-4*d*f+e^2)^(1/2)-e)*f)^(1/2))*c*d+1/2/(4*d*f-e^2)*2^(1/2)/(((-4*d*f+e^2)^(1/2)-e)*f)^(1/2)*arctanh(f*x*2^(1/2)/(((-4*d*f+e^2)^(1/2)-e)*f)^(1/2))*c*e^2+f*(-4*d*f+e^2)^(1/2)/(4*d*f-e^2)*2^(1/2)/(((-4*d*f+e^2)^(1/2)-e)*f)^(1/2)*arctanh(f*x*2^(1/2)/(((-4*d*f+e^2)^(1/2)-e)*f)^(1/2))*a-1/2*(-4*d*f+e^2)^(1/2)/(4*d*f-e^2)*2^(1/2)/(((-4*d*f+e^2)^(1/2)-e)*f)^(1/2)*arctanh(f*x*2^(1/2)/(((-4*d*f+e^2)^(1/2)-e)*f)^(1/2))*c*e+1/2*(-4*d*f+e^2)^(1/2)/(4*d*f-e^2)*b*ln(2*f*x^2+(-4*d*f+e^2)^(1/2)+e)+2*f/(4*d*f-e^2)*2^(1/2)/((e+(-4*d*f+e^2)^(1/2))*f)^(1/2)*arctan(f*x*2^(1/2)/((e+(-4*d*f+e^2)^(1/2))*f)^(1/2))*c*d-1/2/(4*d*f-e^2)*2^(1/2)/((e+(-4*d*f+e^2)^(1/2))*f)^(1/2)*arctan(f*x*2^(1/2)/((e+(-4*d*f+e^2)^(1/2))*f)^(1/2))*c*e^2+f*(-4*d*f+e^2)^(1/2)/(4*d*f-e^2)*2^(1/2)/((e+(-4*d*f+e^2)^(1/2))*f)^(1/2)*arctan(f*x*2^(1/2)/((e+(-4*d*f+e^2)^(1/2))*f)^(1/2))*a-1/2*(-4*d*f+e^2)^(1/2)/(4*d*f-e^2)*2^(1/2)/((e+(-4*d*f+e^2)^(1/2))*f)^(1/2)*arctan(f*x*2^(1/2)/((e+(-4*d*f+e^2)^(1/2))*f)^(1/2))*c*e","B"
338,1,633,184,0.060000," ","int((e*x+d)^2/(c*x^4+b*x^2+a),x)","-\frac{2 \sqrt{2}\, a c \,e^{2} \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 \,e^{2} \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} e^{2} \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} e^{2} \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 \,e^{2} \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 \,e^{2} \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^{2} \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^{2} \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}}\, d e \ln \left(-2 c \,x^{2}-b +\sqrt{-4 a c +b^{2}}\right)}{4 a c -b^{2}}+\frac{\sqrt{-4 a c +b^{2}}\, d e \ln \left(2 c \,x^{2}+b +\sqrt{-4 a c +b^{2}}\right)}{4 a c -b^{2}}"," ",0,"-(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*d*e*ln(-2*c*x^2+(-4*a*c+b^2)^(1/2)-b)-2*c/(4*a*c-b^2)*2^(1/2)/(((-4*a*c+b^2)^(1/2)-b)*c)^(1/2)*arctanh(c*x*2^(1/2)/(((-4*a*c+b^2)^(1/2)-b)*c)^(1/2))*e^2*a+1/2/(4*a*c-b^2)*2^(1/2)/(((-4*a*c+b^2)^(1/2)-b)*c)^(1/2)*arctanh(c*x*2^(1/2)/(((-4*a*c+b^2)^(1/2)-b)*c)^(1/2))*e^2*b^2-1/2*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/(((-4*a*c+b^2)^(1/2)-b)*c)^(1/2)*arctanh(c*x*2^(1/2)/(((-4*a*c+b^2)^(1/2)-b)*c)^(1/2))*b*e^2+c*(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*2^(1/2)/(((-4*a*c+b^2)^(1/2)-b)*c)^(1/2)*arctanh(c*x*2^(1/2)/(((-4*a*c+b^2)^(1/2)-b)*c)^(1/2))*d^2+(-4*a*c+b^2)^(1/2)/(4*a*c-b^2)*d*e*ln(2*c*x^2+(-4*a*c+b^2)^(1/2)+b)+2*c/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(c*x*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2))*e^2*a-1/2/(4*a*c-b^2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(c*x*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2))*e^2*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(c*x*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2))*b*e^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(c*x*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2))*d^2","B"
339,1,57,56,0.007000," ","int(x^2/(b*x+a)/(d*x+c),x)","-\frac{a^{2} \ln \left(b x +a \right)}{\left(a d -b c \right) b^{2}}+\frac{c^{2} \ln \left(d x +c \right)}{\left(a d -b c \right) d^{2}}+\frac{x}{b d}"," ",0,"x/b/d+1/d^2*c^2/(a*d-b*c)*ln(d*x+c)-1/b^2*a^2/(a*d-b*c)*ln(b*x+a)","A"
340,1,87,86,0.008000," ","int(x^2/(d*x+c)/(b*x^2+a),x)","-\frac{a c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\left(a \,d^{2}+b \,c^{2}\right) \sqrt{a b}}+\frac{a d \ln \left(b \,x^{2}+a \right)}{2 \left(a \,d^{2}+b \,c^{2}\right) b}+\frac{c^{2} \ln \left(d x +c \right)}{\left(a \,d^{2}+b \,c^{2}\right) d}"," ",0,"1/2*a*d*ln(b*x^2+a)/b/(a*d^2+b*c^2)-a/(a*d^2+b*c^2)*c/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)+c^2*ln(d*x+c)/d/(a*d^2+b*c^2)","A"
341,1,336,209,0.007000," ","int(x^2/(d*x+c)/(b*x^3+a),x)","-\frac{\sqrt{3}\, a c d \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(a \,d^{3}-b \,c^{3}\right) \left(\frac{a}{b}\right)^{\frac{2}{3}} b}-\frac{a c d \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(a \,d^{3}-b \,c^{3}\right) \left(\frac{a}{b}\right)^{\frac{2}{3}} b}+\frac{a c d \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(a \,d^{3}-b \,c^{3}\right) \left(\frac{a}{b}\right)^{\frac{2}{3}} b}+\frac{\sqrt{3}\, a \,d^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(a \,d^{3}-b \,c^{3}\right) \left(\frac{a}{b}\right)^{\frac{1}{3}} b}-\frac{a \,d^{2} \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \left(a \,d^{3}-b \,c^{3}\right) \left(\frac{a}{b}\right)^{\frac{1}{3}} b}+\frac{a \,d^{2} \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \left(a \,d^{3}-b \,c^{3}\right) \left(\frac{a}{b}\right)^{\frac{1}{3}} b}-\frac{c^{2} \ln \left(b \,x^{3}+a \right)}{3 \left(a \,d^{3}-b \,c^{3}\right)}+\frac{c^{2} \ln \left(d x +c \right)}{a \,d^{3}-b \,c^{3}}"," ",0,"-1/3/(a*d^3-b*c^3)*a*c*d/b/(a/b)^(2/3)*ln(x+(a/b)^(1/3))+1/6/(a*d^3-b*c^3)*a*c*d/b/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))-1/3/(a*d^3-b*c^3)*a*c*d/b/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))-1/3/(a*d^3-b*c^3)*a*d^2/b/(a/b)^(1/3)*ln(x+(a/b)^(1/3))+1/6/(a*d^3-b*c^3)*a*d^2/b/(a/b)^(1/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+1/3/(a*d^3-b*c^3)*a*d^2*3^(1/2)/b/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))-1/3/(a*d^3-b*c^3)*c^2*ln(b*x^3+a)+c^2/(a*d^3-b*c^3)*ln(d*x+c)","A"
342,1,422,324,0.014000," ","int(x^2/(d*x+c)/(b*x^4+a),x)","\frac{a \,d^{3} \arctan \left(\sqrt{\frac{b}{a}}\, x^{2}\right)}{2 \left(a \,d^{4}+b \,c^{4}\right) \sqrt{a b}}+\frac{\sqrt{2}\, c^{3} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{4 \left(a \,d^{4}+b \,c^{4}\right) \left(\frac{a}{b}\right)^{\frac{1}{4}}}+\frac{\sqrt{2}\, c^{3} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{4 \left(a \,d^{4}+b \,c^{4}\right) \left(\frac{a}{b}\right)^{\frac{1}{4}}}+\frac{\sqrt{2}\, c^{3} \ln \left(\frac{x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{b}}}{x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{b}}}\right)}{8 \left(a \,d^{4}+b \,c^{4}\right) \left(\frac{a}{b}\right)^{\frac{1}{4}}}-\frac{c^{2} d \ln \left(b \,x^{4}+a \right)}{4 \left(a \,d^{4}+b \,c^{4}\right)}+\frac{c^{2} d \ln \left(d x +c \right)}{a \,d^{4}+b \,c^{4}}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}-1\right)}{4 \left(a \,d^{4}+b \,c^{4}\right)}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{b}\right)^{\frac{1}{4}}}+1\right)}{4 \left(a \,d^{4}+b \,c^{4}\right)}-\frac{\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{2} \ln \left(\frac{x^{2}+\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{b}}}{x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{b}}}\right)}{8 \left(a \,d^{4}+b \,c^{4}\right)}"," ",0,"c^2*d*ln(d*x+c)/(a*d^4+b*c^4)-1/4/(a*d^4+b*c^4)*c*d^2*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x-1)-1/8/(a*d^4+b*c^4)*c*d^2*(a/b)^(1/4)*2^(1/2)*ln((x^2+(a/b)^(1/4)*x*2^(1/2)+(a/b)^(1/2))/(x^2-(a/b)^(1/4)*x*2^(1/2)+(a/b)^(1/2)))-1/4/(a*d^4+b*c^4)*c*d^2*(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x+1)+1/2/(a*d^4+b*c^4)*a*d^3/(a*b)^(1/2)*arctan(x^2*(b/a)^(1/2))+1/8/(a*d^4+b*c^4)*c^3/(a/b)^(1/4)*2^(1/2)*ln((x^2-(a/b)^(1/4)*x*2^(1/2)+(a/b)^(1/2))/(x^2+(a/b)^(1/4)*x*2^(1/2)+(a/b)^(1/2)))+1/4/(a*d^4+b*c^4)*c^3/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x+1)+1/4/(a*d^4+b*c^4)*c^3/(a/b)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/b)^(1/4)*x-1)-1/4*c^2*d*ln(b*x^4+a)/(a*d^4+b*c^4)","A"
343,1,21,12,0.007000," ","int(x/(1-x)/(x+1)^2,x)","-\frac{\ln \left(x -1\right)}{4}+\frac{\ln \left(x +1\right)}{4}+\frac{1}{2 x +2}"," ",0,"-1/4*ln(x-1)+1/2/(x+1)+1/4*ln(x+1)","A"
344,1,24,15,0.009000," ","int(x^2/(-x^2+1)/(x^2+1)^2,x)","-\frac{x}{4 \left(x^{2}+1\right)}-\frac{\ln \left(x -1\right)}{8}+\frac{\ln \left(x +1\right)}{8}"," ",0,"-1/8*ln(x-1)-1/4/(x^2+1)*x+1/8*ln(x+1)","A"
345,1,90,77,0.012000," ","int(x^3/(-x^3+1)/(x^3+1)^2,x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{36}+\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{12}-\frac{\ln \left(x -1\right)}{12}-\frac{\ln \left(x +1\right)}{36}+\frac{\ln \left(x^{2}-x +1\right)}{72}+\frac{\ln \left(x^{2}+x +1\right)}{24}+\frac{-2 x -2}{36 x^{2}-36 x +36}+\frac{1}{18 x +18}"," ",0,"-1/12*ln(x-1)+1/36*(-2*x-2)/(x^2-x+1)+1/72*ln(x^2-x+1)-1/36*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))+1/18/(x+1)-1/36*ln(x+1)+1/24*ln(x^2+x+1)+1/12*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
346,1,14,13,0.005000," ","int((x^3+3*x^2+x+9)/(x^2+1)/(x^2+3),x)","3 \arctan \left(x \right)+\frac{\ln \left(x^{2}+3\right)}{2}"," ",0,"3*arctan(x)+1/2*ln(x^2+3)","A"
347,1,12,11,0.004000," ","int((x^3+x^2+x+3)/(x^2+1)/(x^2+3),x)","\arctan \left(x \right)+\frac{\ln \left(x^{2}+3\right)}{2}"," ",0,"arctan(x)+1/2*ln(x^2+3)","A"
348,1,25,24,0.004000," ","int((3*x^3-x^2+6*x-4)/(x^2+1)/(x^2+2),x)","-3 \arctan \left(x \right)+\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{2}\right)+\frac{3 \ln \left(x^{2}+1\right)}{2}"," ",0,"-3*arctan(x)+3/2*ln(x^2+1)+2^(1/2)*arctan(1/2*2^(1/2)*x)","A"
349,1,15,14,0.004000," ","int(1/(x^2-4*x+4)/(x^2-4*x+5),x)","-\arctan \left(x -2\right)-\frac{1}{x -2}"," ",0,"-arctan(x-2)-1/(x-2)","A"
350,1,11,12,0.004000," ","int((x^2+x-3)/(x-3)/x^2,x)","\ln \left(x -3\right)-\frac{1}{x}"," ",0,"-1/x+ln(x-3)","A"
351,1,10,9,0.006000," ","int((4*x^2+x+1)/(4*x^3+x),x)","\frac{\arctan \left(2 x \right)}{2}+\ln \left(x \right)"," ",0,"1/2*arctan(2*x)+ln(x)","A"
352,1,11,12,0.005000," ","int((3*x^2-x+1)/(x^3-x^2),x)","3 \ln \left(x -1\right)+\frac{1}{x}"," ",0,"3*ln(x-1)+1/x","A"
353,1,13,12,0.005000," ","int((x^2+3*x+4)/(x^2+x),x)","x +4 \ln \left(x \right)-2 \ln \left(x +1\right)"," ",0,"x+4*ln(x)-2*ln(x+1)","A"
354,1,16,15,0.005000," ","int((3*x^2+x+4)/(x^3+x),x)","\arctan \left(x \right)+4 \ln \left(x \right)-\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"arctan(x)+4*ln(x)-1/2*ln(x^2+1)","A"
355,1,14,13,0.006000," ","int((8*x^2-4*x+7)/(1+4*x)/(x^2+1),x)","-\arctan \left(x \right)+2 \ln \left(4 x +1\right)"," ",0,"-arctan(x)+2*ln(1+4*x)","A"
356,1,21,22,0.007000," ","int(x^2/(x-1)/(x^2+2*x+1),x)","\frac{\ln \left(x -1\right)}{4}+\frac{3 \ln \left(x +1\right)}{4}+\frac{1}{2 x +2}"," ",0,"1/4*ln(x-1)+1/2/(x+1)+3/4*ln(x+1)","A"
357,1,27,26,0.009000," ","int((x^2+3*x-4)/(2*x-1)^2/(3+2*x),x)","\frac{41 \ln \left(2 x -1\right)}{128}-\frac{25 \ln \left(2 x +3\right)}{128}+\frac{9}{32 \left(2 x -1\right)}"," ",0,"9/32/(2*x-1)+41/128*ln(2*x-1)-25/128*ln(3+2*x)","A"
358,1,20,21,0.005000," ","int((3*x^2-4*x+5)/(x-1)/(x^2+1),x)","-3 \arctan \left(x \right)+2 \ln \left(x -1\right)+\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"2*ln(x-1)+1/2*ln(x^2+1)-3*arctan(x)","A"
359,1,21,22,0.007000," ","int((x^2-2*x-1)/(x-1)^2/(x^2+1),x)","\arctan \left(x \right)+\ln \left(x -1\right)-\frac{\ln \left(x^{2}+1\right)}{2}+\frac{1}{x -1}"," ",0,"ln(x-1)+1/(x-1)-1/2*ln(x^2+1)+arctan(x)","A"
360,1,40,39,0.007000," ","int((x^3+5)/(x^2-6*x+10)/(1/2-x+x^2),x)","\frac{1026 \arctan \left(x -3\right)}{221}+\frac{261 \arctan \left(2 x -1\right)}{221}+\frac{56 \ln \left(x^{2}-6 x +10\right)}{221}+\frac{109 \ln \left(2 x^{2}-2 x +1\right)}{442}"," ",0,"261/221*arctan(2*x-1)+1026/221*arctan(x-3)+56/221*ln(x^2-6*x+10)+109/442*ln(2*x^2-2*x+1)","A"
361,1,20,25,0.006000," ","int((x^2+3*x+4)/(x-3)/(x-2)/(x-1),x)","11 \ln \left(x -3\right)-14 \ln \left(x -2\right)+4 \ln \left(x -1\right)"," ",0,"4*ln(x-1)-14*ln(x-2)+11*ln(x-3)","A"
362,1,48,47,0.009000," ","int((1+16*x)/(5+x)^2/(-3+2*x)/(x^2+x+1),x)","\frac{451 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{8379}+\frac{200 \ln \left(2 x -3\right)}{3211}+\frac{2731 \ln \left(x +5\right)}{24843}-\frac{481 \ln \left(x^{2}+x +1\right)}{5586}-\frac{79}{273 \left(x +5\right)}"," ",0,"-79/273/(5+x)+2731/24843*ln(5+x)+200/3211*ln(-3+2*x)-481/5586*ln(x^2+x+1)+451/8379*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
363,1,10,9,0.000000," ","int((x^3-1)/(x^2+x+1),x)","\frac{1}{2} x^{2}-x"," ",0,"-x+1/2*x^2","A"
364,1,22,23,0.005000," ","int((x^3-3)/(x^2-6*x-7),x)","\frac{x^{2}}{2}+6 x +\frac{\ln \left(x +1\right)}{2}+\frac{85 \ln \left(x -7\right)}{2}"," ",0,"1/2*x^2+6*x+1/2*ln(x+1)+85/2*ln(x-7)","A"
365,1,37,37,0.007000," ","int((x^3+1)/(x^2+4*x+13)^2,x)","-\frac{61 \arctan \left(\frac{x}{3}+\frac{2}{3}\right)}{54}+\frac{\ln \left(x^{2}+4 x +13\right)}{2}+\frac{\frac{47 x}{18}+\frac{67}{18}}{x^{2}+4 x +13}"," ",0,"(47/18*x+67/18)/(x^2+4*x+13)+1/2*ln(x^2+4*x+13)-61/54*arctan(2/3+1/3*x)","A"
366,1,29,28,0.010000," ","int((3*x^5-10*x^4+21*x^3-42*x^2+36*x-32)/x/(x^2+1)/(x^2+4)^2,x)","2 \arctan \left(x \right)+\frac{\arctan \left(\frac{x}{2}\right)}{2}-2 \ln \left(x \right)+\ln \left(x^{2}+4\right)+\frac{1}{x^{2}+4}"," ",0,"1/(x^2+4)+1/2*arctan(1/2*x)+2*arctan(x)-2*ln(x)+ln(x^2+4)","A"
367,1,110,101,0.011000," ","int((x^9+7*x^5+x^4-1)/(x^8+6*x^4-7),x)","\frac{x^{2}}{2}+\frac{7^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, 7^{\frac{3}{4}} x}{7}-1\right)}{28}+\frac{7^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, 7^{\frac{3}{4}} x}{7}+1\right)}{28}+\frac{7^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+7^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{7}}{x^{2}-7^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{7}}\right)}{56}+\frac{\ln \left(x -1\right)}{4}+\frac{\ln \left(x +1\right)}{4}-\frac{\ln \left(x^{2}+1\right)}{4}"," ",0,"1/2*x^2+1/4*ln(x-1)-1/4*ln(x^2+1)+1/56*7^(1/4)*2^(1/2)*ln((x^2+7^(1/4)*x*2^(1/2)+7^(1/2))/(x^2-7^(1/4)*x*2^(1/2)+7^(1/2)))+1/28*arctan(1+1/7*x*2^(1/2)*7^(3/4))*7^(1/4)*2^(1/2)+1/28*arctan(-1+1/7*x*2^(1/2)*7^(3/4))*7^(1/4)*2^(1/2)+1/4*ln(x+1)","A"
368,1,79,81,0.007000," ","int((x^6+x^3+1)/(x^5+x),x)","\frac{x^{2}}{2}-\frac{\arctan \left(x^{2}\right)}{2}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x -1\right)}{4}+\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x +1\right)}{4}+\ln \left(x \right)+\frac{\sqrt{2}\, \ln \left(\frac{x^{2}-\sqrt{2}\, x +1}{x^{2}+\sqrt{2}\, x +1}\right)}{8}-\frac{\ln \left(x^{4}+1\right)}{4}"," ",0,"1/2*x^2-1/2*arctan(x^2)+1/4*arctan(-1+2^(1/2)*x)*2^(1/2)+1/8*2^(1/2)*ln((1+x^2-2^(1/2)*x)/(1+x^2+2^(1/2)*x))+1/4*arctan(1+2^(1/2)*x)*2^(1/2)-1/4*ln(x^4+1)+ln(x)","A"
369,1,13,14,0.005000," ","int((x^2+1)/(x^2-x),x)","x -\ln \left(x \right)+2 \ln \left(x -1\right)"," ",0,"x+2*ln(x-1)-ln(x)","A"
370,1,11,12,0.004000," ","int((x^3+1)/(x^3-x),x)","x -\ln \left(x \right)+\ln \left(x -1\right)"," ",0,"x+ln(x-1)-ln(x)","A"
371,1,16,17,0.007000," ","int((x^3+1)/(x^3-x^2),x)","x -\ln \left(x \right)+2 \ln \left(x -1\right)+\frac{1}{x}"," ",0,"x+2*ln(x-1)+1/x-ln(x)","A"
372,1,16,15,0.005000," ","int((x^5-1)/(x^3-x),x)","\frac{x^{3}}{3}+x +\ln \left(x \right)-\ln \left(x +1\right)"," ",0,"x+1/3*x^3+ln(x)-ln(x+1)","A"
373,1,17,16,0.006000," ","int((x^4+1)/(x^5+x^3),x)","-\ln \left(x \right)+\ln \left(x^{2}+1\right)-\frac{1}{2 x^{2}}"," ",0,"-1/2/x^2-ln(x)+ln(x^2+1)","A"
374,1,11,10,0.005000," ","int((x^2+1)/(x^3+2*x^2+x),x)","\ln \left(x \right)+\frac{2}{x +1}"," ",0,"2/(x+1)+ln(x)","A"
375,1,31,32,0.008000," ","int((x^5+1)/(x^3-3*x^2-10*x),x)","\frac{x^{3}}{3}+\frac{3 x^{2}}{2}+19 x -\frac{\ln \left(x \right)}{10}+\frac{3126 \ln \left(x -5\right)}{35}-\frac{31 \ln \left(x +2\right)}{14}"," ",0,"1/3*x^3+3/2*x^2+19*x-31/14*ln(x+2)-1/10*ln(x)+3126/35*ln(x-5)","A"
376,1,41,38,0.002000," ","int((x^3+x^2-5*x+15)/(x^2+5)/(x^2+2*x+3),x)","-\sqrt{5}\, \arctan \left(\frac{\sqrt{5}\, x}{5}\right)+\frac{5 \sqrt{2}\, \arctan \left(\frac{\left(2 x +2\right) \sqrt{2}}{4}\right)}{2}+\frac{\ln \left(x^{2}+2 x +3\right)}{2}"," ",0,"-5^(1/2)*arctan(1/5*5^(1/2)*x)+5/2*2^(1/2)*arctan(1/4*(2*x+2)*2^(1/2))+1/2*ln(x^2+2*x+3)","A"
377,1,16,15,0.007000," ","int(1/(x^2+1)/(3+10/(x^2+1)*x),x)","\frac{\ln \left(3 x +1\right)}{8}-\frac{\ln \left(x +3\right)}{8}"," ",0,"-1/8*ln(x+3)+1/8*ln(1+3*x)","A"
378,1,31,30,0.007000," ","int(x^3/(13+2/x+15*x),x)","\frac{x^{3}}{45}-\frac{13 x^{2}}{450}+\frac{139 x}{3375}+\frac{\ln \left(5 x +1\right)}{4375}-\frac{16 \ln \left(3 x +2\right)}{567}"," ",0,"139/3375*x-13/450*x^2+1/45*x^3-16/567*ln(2+3*x)+1/4375*ln(1+5*x)","A"
379,1,26,25,0.006000," ","int(x^2/(13+2/x+15*x),x)","\frac{x^{2}}{30}-\frac{13 x}{225}-\frac{\ln \left(5 x +1\right)}{875}+\frac{8 \ln \left(3 x +2\right)}{189}"," ",0,"-13/225*x+1/30*x^2+8/189*ln(3*x+2)-1/875*ln(5*x+1)","A"
380,1,21,20,0.006000," ","int(x/(13+2/x+15*x),x)","\frac{x}{15}+\frac{\ln \left(5 x +1\right)}{175}-\frac{4 \ln \left(3 x +2\right)}{63}"," ",0,"1/15*x-4/63*ln(3*x+2)+1/175*ln(5*x+1)","A"
381,1,18,17,0.003000," ","int(1/(13+2/x+15*x),x)","-\frac{\ln \left(5 x +1\right)}{35}+\frac{2 \ln \left(3 x +2\right)}{21}"," ",0,"2/21*ln(3*x+2)-1/35*ln(5*x+1)","A"
382,1,18,17,0.005000," ","int(1/x/(13+2/x+15*x),x)","\frac{\ln \left(5 x +1\right)}{7}-\frac{\ln \left(3 x +2\right)}{7}"," ",0,"-1/7*ln(3*x+2)+1/7*ln(5*x+1)","A"
383,1,22,21,0.008000," ","int(1/x^2/(13+2/x+15*x),x)","\frac{\ln \left(x \right)}{2}-\frac{5 \ln \left(5 x +1\right)}{7}+\frac{3 \ln \left(3 x +2\right)}{14}"," ",0,"1/2*ln(x)+3/14*ln(3*x+2)-5/7*ln(5*x+1)","A"
384,1,27,26,0.008000," ","int(1/x^3/(13+2/x+15*x),x)","-\frac{13 \ln \left(x \right)}{4}+\frac{25 \ln \left(5 x +1\right)}{7}-\frac{9 \ln \left(3 x +2\right)}{28}-\frac{1}{2 x}"," ",0,"-1/2/x-13/4*ln(x)-9/28*ln(3*x+2)+25/7*ln(5*x+1)","A"
385,1,32,31,0.008000," ","int(1/x^4/(13+2/x+15*x),x)","\frac{139 \ln \left(x \right)}{8}-\frac{125 \ln \left(5 x +1\right)}{7}+\frac{27 \ln \left(3 x +2\right)}{56}+\frac{13}{4 x}-\frac{1}{4 x^{2}}"," ",0,"-1/4/x^2+13/4/x+139/8*ln(x)+27/56*ln(3*x+2)-125/7*ln(5*x+1)","A"
386,1,37,36,0.009000," ","int(1/x^5/(13+2/x+15*x),x)","-\frac{1417 \ln \left(x \right)}{16}+\frac{625 \ln \left(5 x +1\right)}{7}-\frac{81 \ln \left(3 x +2\right)}{112}-\frac{139}{8 x}+\frac{13}{8 x^{2}}-\frac{1}{6 x^{3}}"," ",0,"-1/6/x^3+13/8/x^2-139/8/x-1417/16*ln(x)-81/112*ln(3*x+2)+625/7*ln(5*x+1)","A"
387,1,54,103,0.014000," ","int(x^2/(2-(x^2+1)^4),x)","-\frac{\RootOf \left(\textit{\_Z}^{8}+4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}-1\right)^{2} \ln \left(-\RootOf \left(\textit{\_Z}^{8}+4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}-1\right)+x \right)}{8 \left(\RootOf \left(\textit{\_Z}^{8}+4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}-1\right)^{7}+3 \RootOf \left(\textit{\_Z}^{8}+4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}-1\right)^{5}+3 \RootOf \left(\textit{\_Z}^{8}+4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}-1\right)^{3}+\RootOf \left(\textit{\_Z}^{8}+4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}-1\right)\right)}"," ",0,"-1/8*sum(_R^2/(_R^7+3*_R^5+3*_R^3+_R)*ln(-_R+x),_R=RootOf(_Z^8+4*_Z^6+6*_Z^4+4*_Z^2-1))","C"
388,1,56,103,0.015000," ","int(x^2/(2-(-x^2+1)^4),x)","-\frac{\RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}-4 \textit{\_Z}^{2}-1\right)^{2} \ln \left(-\RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}-4 \textit{\_Z}^{2}-1\right)+x \right)}{8 \left(\RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}-4 \textit{\_Z}^{2}-1\right)^{7}-3 \RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}-4 \textit{\_Z}^{2}-1\right)^{5}+3 \RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}-4 \textit{\_Z}^{2}-1\right)^{3}-\RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}-4 \textit{\_Z}^{2}-1\right)\right)}"," ",0,"-1/8*sum(_R^2/(_R^7-3*_R^5+3*_R^3-_R)*ln(-_R+x),_R=RootOf(_Z^8-4*_Z^6+6*_Z^4-4*_Z^2-1))","C"
389,1,54,129,0.008000," ","int(x^2/(2+(x^2+1)^4),x)","\frac{\RootOf \left(\textit{\_Z}^{8}+4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+3\right)^{2} \ln \left(-\RootOf \left(\textit{\_Z}^{8}+4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+3\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}+4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+3\right)^{7}+24 \RootOf \left(\textit{\_Z}^{8}+4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+3\right)^{5}+24 \RootOf \left(\textit{\_Z}^{8}+4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+3\right)^{3}+8 \RootOf \left(\textit{\_Z}^{8}+4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}+4 \textit{\_Z}^{2}+3\right)}"," ",0,"1/8*sum(1/(_R^7+3*_R^5+3*_R^3+_R)*_R^2*ln(-_R+x),_R=RootOf(_Z^8+4*_Z^6+6*_Z^4+4*_Z^2+3))","C"
390,1,56,129,0.010000," ","int(x^2/(2+(-x^2+1)^4),x)","\frac{\RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}-4 \textit{\_Z}^{2}+3\right)^{2} \ln \left(-\RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}-4 \textit{\_Z}^{2}+3\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}-4 \textit{\_Z}^{2}+3\right)^{7}-24 \RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}-4 \textit{\_Z}^{2}+3\right)^{5}+24 \RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}-4 \textit{\_Z}^{2}+3\right)^{3}-8 \RootOf \left(\textit{\_Z}^{8}-4 \textit{\_Z}^{6}+6 \textit{\_Z}^{4}-4 \textit{\_Z}^{2}+3\right)}"," ",0,"1/8*sum(1/(_R^7-3*_R^5+3*_R^3-_R)*_R^2*ln(-_R+x),_R=RootOf(_Z^8-4*_Z^6+6*_Z^4-4*_Z^2+3))","C"
391,1,69,435,0.074000," ","int((-x^2+1)/(a+b*(-x^2+1)^4),x)","\frac{\left(-\RootOf \left(b \,\textit{\_Z}^{8}-4 b \,\textit{\_Z}^{6}+6 b \,\textit{\_Z}^{4}-4 b \,\textit{\_Z}^{2}+a +b \right)^{2}+1\right) \ln \left(-\RootOf \left(b \,\textit{\_Z}^{8}-4 b \,\textit{\_Z}^{6}+6 b \,\textit{\_Z}^{4}-4 b \,\textit{\_Z}^{2}+a +b \right)+x \right)}{8 b \left(\RootOf \left(b \,\textit{\_Z}^{8}-4 b \,\textit{\_Z}^{6}+6 b \,\textit{\_Z}^{4}-4 b \,\textit{\_Z}^{2}+a +b \right)^{7}-3 \RootOf \left(b \,\textit{\_Z}^{8}-4 b \,\textit{\_Z}^{6}+6 b \,\textit{\_Z}^{4}-4 b \,\textit{\_Z}^{2}+a +b \right)^{5}+3 \RootOf \left(b \,\textit{\_Z}^{8}-4 b \,\textit{\_Z}^{6}+6 b \,\textit{\_Z}^{4}-4 b \,\textit{\_Z}^{2}+a +b \right)^{3}-\RootOf \left(b \,\textit{\_Z}^{8}-4 b \,\textit{\_Z}^{6}+6 b \,\textit{\_Z}^{4}-4 b \,\textit{\_Z}^{2}+a +b \right)\right)}"," ",0,"1/8/b*sum((-_R^2+1)/(_R^7-3*_R^5+3*_R^3-_R)*ln(-_R+x),_R=RootOf(_Z^8*b-4*_Z^6*b+6*_Z^4*b-4*_Z^2*b+a+b))","C"
392,1,69,435,0.002000," ","int((-x^2+1)/(a+b*(x^2-1)^4),x)","\frac{\left(-\RootOf \left(b \,\textit{\_Z}^{8}-4 b \,\textit{\_Z}^{6}+6 b \,\textit{\_Z}^{4}-4 b \,\textit{\_Z}^{2}+a +b \right)^{2}+1\right) \ln \left(-\RootOf \left(b \,\textit{\_Z}^{8}-4 b \,\textit{\_Z}^{6}+6 b \,\textit{\_Z}^{4}-4 b \,\textit{\_Z}^{2}+a +b \right)+x \right)}{8 b \left(\RootOf \left(b \,\textit{\_Z}^{8}-4 b \,\textit{\_Z}^{6}+6 b \,\textit{\_Z}^{4}-4 b \,\textit{\_Z}^{2}+a +b \right)^{7}-3 \RootOf \left(b \,\textit{\_Z}^{8}-4 b \,\textit{\_Z}^{6}+6 b \,\textit{\_Z}^{4}-4 b \,\textit{\_Z}^{2}+a +b \right)^{5}+3 \RootOf \left(b \,\textit{\_Z}^{8}-4 b \,\textit{\_Z}^{6}+6 b \,\textit{\_Z}^{4}-4 b \,\textit{\_Z}^{2}+a +b \right)^{3}-\RootOf \left(b \,\textit{\_Z}^{8}-4 b \,\textit{\_Z}^{6}+6 b \,\textit{\_Z}^{4}-4 b \,\textit{\_Z}^{2}+a +b \right)\right)}"," ",0,"1/8/b*sum((-_R^2+1)/(_R^7-3*_R^5+3*_R^3-_R)*ln(-_R+x),_R=RootOf(_Z^8*b-4*_Z^6*b+6*_Z^4*b-4*_Z^2*b+a+b))","C"
393,1,67,106,0.278000," ","int((x^2+1)^2/(a*x^6+b*(x^2+1)^3),x)","\frac{\left(\RootOf \left(\left(a +b \right) \textit{\_Z}^{6}+3 \textit{\_Z}^{4} b +3 \textit{\_Z}^{2} b +b \right)^{4}+2 \RootOf \left(\left(a +b \right) \textit{\_Z}^{6}+3 \textit{\_Z}^{4} b +3 \textit{\_Z}^{2} b +b \right)^{2}+1\right) \ln \left(-\RootOf \left(\left(a +b \right) \textit{\_Z}^{6}+3 \textit{\_Z}^{4} b +3 \textit{\_Z}^{2} b +b \right)+x \right)}{6 \RootOf \left(\left(a +b \right) \textit{\_Z}^{6}+3 \textit{\_Z}^{4} b +3 \textit{\_Z}^{2} b +b \right)^{5} a +6 \RootOf \left(\left(a +b \right) \textit{\_Z}^{6}+3 \textit{\_Z}^{4} b +3 \textit{\_Z}^{2} b +b \right)^{5} b +12 \RootOf \left(\left(a +b \right) \textit{\_Z}^{6}+3 \textit{\_Z}^{4} b +3 \textit{\_Z}^{2} b +b \right)^{3} b +6 \RootOf \left(\left(a +b \right) \textit{\_Z}^{6}+3 \textit{\_Z}^{4} b +3 \textit{\_Z}^{2} b +b \right) b}"," ",0,"1/6*sum((_R^4+2*_R^2+1)/(_R^5*a+_R^5*b+2*_R^3*b+_R*b)*ln(-_R+x),_R=RootOf((a+b)*_Z^6+3*b*_Z^4+3*b*_Z^2+b))","C"
394,1,314,227,0.011000," ","int((e*x+d)^3/(c*x^4+a),x)","\frac{3 d^{2} e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{2 \sqrt{a c}}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{3} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{3} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{3} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 a}+\frac{3 \sqrt{2}\, d \,e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}+\frac{3 \sqrt{2}\, d \,e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}+\frac{3 \sqrt{2}\, d \,e^{2} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}+\frac{e^{3} \ln \left(c \,x^{4}+a \right)}{4 c}"," ",0,"1/8*d^3*(a/c)^(1/4)/a*2^(1/2)*ln((x^2+(a/c)^(1/4)*x*2^(1/2)+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*x*2^(1/2)+(a/c)^(1/2)))+1/4*d^3*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/4*d^3*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)+3/2*e*d^2/(a*c)^(1/2)*arctan(x^2*(c/a)^(1/2))+3/8*d*e^2/c/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*x*2^(1/2)+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*x*2^(1/2)+(a/c)^(1/2)))+3/4*d*e^2/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+3/4*d*e^2/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)+1/4*e^3*ln(c*x^4+a)/c","A"
395,1,292,202,0.003000," ","int((e*x+d)^2/(c*x^4+a),x)","\frac{d e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{\sqrt{a c}}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{2} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 a}+\frac{\sqrt{2}\, e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, e^{2} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(\frac{a}{c}\right)^{\frac{1}{4}} c}"," ",0,"1/8*d^2*(a/c)^(1/4)/a*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+1/4*d^2*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/4*d^2*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)+d*e/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)+1/8*e^2/c/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+1/4*e^2/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/4*e^2/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
396,1,151,144,0.002000," ","int((e*x+d)/(c*x^4+a),x)","\frac{e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{2 \sqrt{a c}}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 a}"," ",0,"1/8*d*(a/c)^(1/4)/a*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+1/4*d*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/4*d*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)+1/2*e/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)","A"
397,1,128,120,0.003000," ","int(1/(c*x^4+a),x)","\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 a}"," ",0,"1/8*(a/c)^(1/4)/a*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+1/4*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/4*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
398,1,433,323,0.007000," ","int(1/(e*x+d)/(c*x^4+a),x)","-\frac{c \,d^{2} e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{2 \left(a \,e^{4}+c \,d^{4}\right) \sqrt{a c}}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{3} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right) a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{3} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right) a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{3} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(a \,e^{4}+c \,d^{4}\right) a}+\frac{\sqrt{2}\, d \,e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right) \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{\sqrt{2}\, d \,e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right) \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{\sqrt{2}\, d \,e^{2} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(a \,e^{4}+c \,d^{4}\right) \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{e^{3} \ln \left(c \,x^{4}+a \right)}{4 \left(a \,e^{4}+c \,d^{4}\right)}+\frac{e^{3} \ln \left(e x +d \right)}{a \,e^{4}+c \,d^{4}}"," ",0,"e^3*ln(e*x+d)/(a*e^4+c*d^4)+1/8*c/(a*e^4+c*d^4)*d^3*(a/c)^(1/4)/a*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+1/4*c/(a*e^4+c*d^4)*d^3*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/4*c/(a*e^4+c*d^4)*d^3*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)-1/2*c/(a*e^4+c*d^4)*e*d^2/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)+1/8/(a*e^4+c*d^4)*d*e^2/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+1/4/(a*e^4+c*d^4)*d*e^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/4/(a*e^4+c*d^4)*d*e^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)-1/4*e^3*ln(c*x^4+a)/(a*e^4+c*d^4)","A"
399,1,866,463,0.010000," ","int(1/(e*x+d)^2/(c*x^4+a),x)","\frac{a c d \,e^{5} \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{\left(a \,e^{4}+c \,d^{4}\right)^{2} \sqrt{a c}}-\frac{c^{2} d^{5} e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{\left(a \,e^{4}+c \,d^{4}\right)^{2} \sqrt{a c}}-\frac{\sqrt{2}\, a \,e^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{\sqrt{2}\, a \,e^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{\sqrt{2}\, a \,e^{6} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{6} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{2} a}+\frac{3 \sqrt{2}\, c \,d^{4} e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{3 \sqrt{2}\, c \,d^{4} e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{3 \sqrt{2}\, c \,d^{4} e^{2} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{c \,d^{3} e^{3} \ln \left(c \,x^{4}+a \right)}{\left(a \,e^{4}+c \,d^{4}\right)^{2}}+\frac{4 c \,d^{3} e^{3} \ln \left(e x +d \right)}{\left(a \,e^{4}+c \,d^{4}\right)^{2}}-\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{2} e^{4} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2}}-\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{2} e^{4} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2}}-\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{2} e^{4} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{2}}-\frac{e^{3}}{\left(a \,e^{4}+c \,d^{4}\right) \left(e x +d \right)}"," ",0,"-e^3/(a*e^4+c*d^4)/(e*x+d)+4*c*d^3*e^3*ln(e*x+d)/(a*e^4+c*d^4)^2-3/4*c/(a*e^4+c*d^4)^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^2*e^4+1/4*c^2/(a*e^4+c*d^4)^2*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^6-3/8*c/(a*e^4+c*d^4)^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^2*e^4+1/8*c^2/(a*e^4+c*d^4)^2*(a/c)^(1/4)/a*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^6-3/4*c/(a*e^4+c*d^4)^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^2*e^4+1/4*c^2/(a*e^4+c*d^4)^2*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^6+c/(a*e^4+c*d^4)^2/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^5*d*a-c^2/(a*e^4+c*d^4)^2/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e*d^5-1/8/(a*e^4+c*d^4)^2/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*a*e^6+3/8*c/(a*e^4+c*d^4)^2/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^4*e^2-1/4/(a*e^4+c*d^4)^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*a*e^6+3/4*c/(a*e^4+c*d^4)^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^4*e^2-1/4/(a*e^4+c*d^4)^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*a*e^6+3/4*c/(a*e^4+c*d^4)^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^4*e^2-c*d^3*e^3*ln(c*x^4+a)/(a*e^4+c*d^4)^2","A"
400,1,1201,585,0.012000," ","int(1/(e*x+d)^3/(c*x^4+a),x)","-\frac{a^{2} c \,e^{9} \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3} \sqrt{a c}}+\frac{6 a \,c^{2} d^{4} e^{5} \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{\left(a \,e^{4}+c \,d^{4}\right)^{3} \sqrt{a c}}-\frac{3 c^{3} d^{8} e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3} \sqrt{a c}}-\frac{5 \sqrt{2}\, a c \,d^{3} e^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{5 \sqrt{2}\, a c \,d^{3} e^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{5 \sqrt{2}\, a c \,d^{3} e^{6} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{3 a c \,d^{2} e^{7} \ln \left(c \,x^{4}+a \right)}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3}}-\frac{6 a c \,d^{2} e^{7} \ln \left(e x +d \right)}{\left(a \,e^{4}+c \,d^{4}\right)^{3}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, a c d \,e^{8} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{3}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, a c d \,e^{8} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{3}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, a c d \,e^{8} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{3}}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{3} d^{9} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{3} a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{3} d^{9} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{3} a}+\frac{\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{3} d^{9} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{3} a}+\frac{3 \sqrt{2}\, c^{2} d^{7} e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{3 \sqrt{2}\, c^{2} d^{7} e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{3 \sqrt{2}\, c^{2} d^{7} e^{2} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{5 c^{2} d^{6} e^{3} \ln \left(c \,x^{4}+a \right)}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3}}+\frac{10 c^{2} d^{6} e^{3} \ln \left(e x +d \right)}{\left(a \,e^{4}+c \,d^{4}\right)^{3}}-\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{5} e^{4} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{\left(a \,e^{4}+c \,d^{4}\right)^{3}}-\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{5} e^{4} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{\left(a \,e^{4}+c \,d^{4}\right)^{3}}-\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{5} e^{4} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3}}-\frac{4 c \,d^{3} e^{3}}{\left(a \,e^{4}+c \,d^{4}\right)^{2} \left(e x +d \right)}-\frac{e^{3}}{2 \left(a \,e^{4}+c \,d^{4}\right) \left(e x +d \right)^{2}}"," ",0,"-1/2*e^3/(a*e^4+c*d^4)/(e*x+d)^2-4*c*d^3*e^3/(a*e^4+c*d^4)^2/(e*x+d)-6*e^7*d^2*c/(a*e^4+c*d^4)^3*ln(e*x+d)*a+10*e^3*d^6*c^2/(a*e^4+c*d^4)^3*ln(e*x+d)+3/4*c/(a*e^4+c*d^4)^3*(a/c)^(1/4)*a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d*e^8-3*c^2/(a*e^4+c*d^4)^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^5*e^4+1/4*c^3/(a*e^4+c*d^4)^3*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^9+3/8*c/(a*e^4+c*d^4)^3*(a/c)^(1/4)*a*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d*e^8-3/2*c^2/(a*e^4+c*d^4)^3*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^5*e^4+1/8*c^3/(a*e^4+c*d^4)^3*(a/c)^(1/4)/a*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^9+3/4*c/(a*e^4+c*d^4)^3*(a/c)^(1/4)*a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d*e^8-3*c^2/(a*e^4+c*d^4)^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^5*e^4+1/4*c^3/(a*e^4+c*d^4)^3*(a/c)^(1/4)/a*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^9-1/2*c/(a*e^4+c*d^4)^3/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^9*a^2+6*c^2/(a*e^4+c*d^4)^3/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*d^4*e^5*a-3/2*c^3/(a*e^4+c*d^4)^3/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e*d^8-5/4*c/(a*e^4+c*d^4)^3/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*a*d^3*e^6+3/4*c^2/(a*e^4+c*d^4)^3/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^7*e^2-5/2*c/(a*e^4+c*d^4)^3/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*a*d^3*e^6+3/2*c^2/(a*e^4+c*d^4)^3/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^7*e^2-5/2*c/(a*e^4+c*d^4)^3/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*a*d^3*e^6+3/2*c^2/(a*e^4+c*d^4)^3/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^7*e^2+3/2*c/(a*e^4+c*d^4)^3*ln(c*x^4+a)*e^7*d^2*a-5/2*c^2/(a*e^4+c*d^4)^3*ln(c*x^4+a)*e^3*d^6","B"
401,1,390,256,0.004000," ","int((e*x+d)^3/(c*x^4+a)^2,x)","\frac{e^{3} x^{4}}{4 \left(c \,x^{4}+a \right) a}+\frac{3 d \,e^{2} x^{3}}{4 \left(c \,x^{4}+a \right) a}+\frac{3 d^{2} e \,x^{2}}{4 \left(c \,x^{4}+a \right) a}+\frac{d^{3} x}{4 \left(c \,x^{4}+a \right) a}+\frac{3 d^{2} e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{4 \sqrt{a c}\, a}+\frac{3 \sqrt{2}\, d \,e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}+\frac{3 \sqrt{2}\, d \,e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}+\frac{3 \sqrt{2}\, d \,e^{2} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{3} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{3} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{3} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 a^{2}}"," ",0,"1/4*d^3*x/a/(c*x^4+a)+3/32*d^3/a^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+3/16*d^3/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+3/16*d^3/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)+3/4*e*d^2*x^2/a/(c*x^4+a)+3/4*e*d^2/a/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)+3/4*d*e^2*x^3/a/(c*x^4+a)+3/32*d*e^2/a/c/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+3/16*d*e^2/a/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+3/16*d*e^2/a/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)+1/4*e^3*x^4/a/(c*x^4+a)","A"
402,1,362,229,0.007000," ","int((e*x+d)^2/(c*x^4+a)^2,x)","\frac{e^{2} x^{3}}{4 \left(c \,x^{4}+a \right) a}+\frac{d e \,x^{2}}{2 \left(c \,x^{4}+a \right) a}+\frac{d^{2} x}{4 \left(c \,x^{4}+a \right) a}+\frac{d e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{2 \sqrt{a c}\, a}+\frac{\sqrt{2}\, e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}+\frac{\sqrt{2}\, e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}+\frac{\sqrt{2}\, e^{2} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(\frac{a}{c}\right)^{\frac{1}{4}} a c}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{2} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 a^{2}}"," ",0,"1/4*d^2*x/a/(c*x^4+a)+3/32*d^2/a^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+3/16*d^2/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+3/16*d^2/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)+1/2*d*e*x^2/a/(c*x^4+a)+1/2*d*e/a/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)+1/4*e^2*x^3/a/(c*x^4+a)+1/32*e^2/a/c/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+1/16*e^2/a/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+1/16*e^2/a/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
403,1,188,164,0.005000," ","int((e*x+d)/(c*x^4+a)^2,x)","\frac{e \,x^{2}}{4 \left(c \,x^{4}+a \right) a}+\frac{d x}{4 \left(c \,x^{4}+a \right) a}+\frac{e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{4 \sqrt{a c}\, a}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 a^{2}}"," ",0,"1/4*d*x/a/(c*x^4+a)+3/32*d/a^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+3/16*d/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+3/16*d/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)+1/4*e*x^2/a/(c*x^4+a)+1/4*e/a/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)","A"
404,1,143,135,0.005000," ","int(1/(c*x^4+a)^2,x)","\frac{x}{4 \left(c \,x^{4}+a \right) a}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 a^{2}}"," ",0,"1/4*x/a/(c*x^4+a)+3/32/a^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+3/16/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+3/16/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
405,1,1122,669,0.019000," ","int(1/(e*x+d)/(c*x^4+a)^2,x)","\frac{c^{2} d^{5} e^{2} x^{3}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(c \,x^{4}+a \right) a}+\frac{c d \,e^{6} x^{3}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(c \,x^{4}+a \right)}-\frac{c^{2} d^{6} e \,x^{2}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(c \,x^{4}+a \right) a}-\frac{c \,d^{2} e^{5} x^{2}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(c \,x^{4}+a \right)}+\frac{c^{2} d^{7} x}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(c \,x^{4}+a \right) a}-\frac{c^{2} d^{6} e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \sqrt{a c}\, a}+\frac{c \,d^{3} e^{4} x}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(c \,x^{4}+a \right)}-\frac{3 c \,d^{2} e^{5} \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \sqrt{a c}}+\frac{a \,e^{7}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(c \,x^{4}+a \right)}+\frac{\sqrt{2}\, c \,d^{5} e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(\frac{a}{c}\right)^{\frac{1}{4}} a}+\frac{\sqrt{2}\, c \,d^{5} e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(\frac{a}{c}\right)^{\frac{1}{4}} a}+\frac{\sqrt{2}\, c \,d^{5} e^{2} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(\frac{a}{c}\right)^{\frac{1}{4}} a}+\frac{7 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{3} e^{4} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{2} a}+\frac{7 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{3} e^{4} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{2} a}+\frac{7 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{3} e^{4} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(a \,e^{4}+c \,d^{4}\right)^{2} a}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{7} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{2} a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{7} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{2} a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{7} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(a \,e^{4}+c \,d^{4}\right)^{2} a^{2}}+\frac{c \,d^{4} e^{3}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(c \,x^{4}+a \right)}+\frac{5 \sqrt{2}\, d \,e^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{5 \sqrt{2}\, d \,e^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{5 \sqrt{2}\, d \,e^{6} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{e^{7} \ln \left(c \,x^{4}+a \right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{2}}+\frac{e^{7} \ln \left(e x +d \right)}{\left(a \,e^{4}+c \,d^{4}\right)^{2}}"," ",0,"e^7*ln(e*x+d)/(a*e^4+c*d^4)^2+1/4*c/(a*e^4+c*d^4)^2/(c*x^4+a)*d*e^6*x^3+1/4*c^2/(a*e^4+c*d^4)^2/(c*x^4+a)*d^5*e^2/a*x^3-1/4*c/(a*e^4+c*d^4)^2/(c*x^4+a)*e^5*d^2*x^2-1/4*c^2/(a*e^4+c*d^4)^2/(c*x^4+a)*e*d^6/a*x^2+1/4*c/(a*e^4+c*d^4)^2/(c*x^4+a)*d^3*x*e^4+1/4*c^2/(a*e^4+c*d^4)^2/(c*x^4+a)*d^7/a*x+1/4/(a*e^4+c*d^4)^2/(c*x^4+a)*e^7*a+1/4*c/(a*e^4+c*d^4)^2/(c*x^4+a)*e^3*d^4+7/16*c/(a*e^4+c*d^4)^2/a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^3*e^4+3/16*c^2/(a*e^4+c*d^4)^2/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^7+7/32*c/(a*e^4+c*d^4)^2/a*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^3*e^4+3/32*c^2/(a*e^4+c*d^4)^2/a^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^7+7/16*c/(a*e^4+c*d^4)^2/a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^3*e^4+3/16*c^2/(a*e^4+c*d^4)^2/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^7-3/4*c/(a*e^4+c*d^4)^2/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^5*d^2-1/4*c^2/(a*e^4+c*d^4)^2/a/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e*d^6+5/32/(a*e^4+c*d^4)^2/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d*e^6+1/32*c/(a*e^4+c*d^4)^2/a/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^5*e^2+5/16/(a*e^4+c*d^4)^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d*e^6+1/16*c/(a*e^4+c*d^4)^2/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^5*e^2+5/16/(a*e^4+c*d^4)^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d*e^6+1/16*c/(a*e^4+c*d^4)^2/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^5*e^2-1/4*e^7*ln(c*x^4+a)/(a*e^4+c*d^4)^2","A"
406,1,1636,959,0.023000," ","int(1/(e*x+d)^2/(c*x^4+a)^2,x)","-\frac{a c \,e^{10} x^{3}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)}+\frac{3 c^{3} d^{8} e^{2} x^{3}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right) a}+\frac{c^{2} d^{4} e^{6} x^{3}}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)}+\frac{a c d \,e^{9} x^{2}}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)}-\frac{c^{3} d^{9} e \,x^{2}}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right) a}-\frac{3 a c \,d^{2} e^{8} x}{4 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)}+\frac{3 a c d \,e^{9} \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3} \sqrt{a c}}+\frac{c^{3} d^{10} x}{4 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right) a}-\frac{c^{3} d^{9} e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3} \sqrt{a c}\, a}-\frac{c^{2} d^{6} e^{4} x}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)}-\frac{3 c^{2} d^{5} e^{5} \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{\left(a \,e^{4}+c \,d^{4}\right)^{3} \sqrt{a c}}+\frac{a c \,d^{3} e^{7}}{\left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)}-\frac{5 \sqrt{2}\, a \,e^{10} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{5 \sqrt{2}\, a \,e^{10} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{5 \sqrt{2}\, a \,e^{10} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{3 \sqrt{2}\, c^{2} d^{8} e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}} a}+\frac{3 \sqrt{2}\, c^{2} d^{8} e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}} a}+\frac{3 \sqrt{2}\, c^{2} d^{8} e^{2} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}} a}+\frac{7 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{6} e^{4} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{3} a}+\frac{7 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{6} e^{4} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{3} a}+\frac{7 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{6} e^{4} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} a}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{3} d^{10} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{3} d^{10} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{3} d^{10} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(a \,e^{4}+c \,d^{4}\right)^{3} a^{2}}+\frac{c^{2} d^{7} e^{3}}{\left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)}+\frac{15 \sqrt{2}\, c \,d^{4} e^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{15 \sqrt{2}\, c \,d^{4} e^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{15 \sqrt{2}\, c \,d^{4} e^{6} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{2 c \,d^{3} e^{7} \ln \left(c \,x^{4}+a \right)}{\left(a \,e^{4}+c \,d^{4}\right)^{3}}+\frac{8 c \,d^{3} e^{7} \ln \left(e x +d \right)}{\left(a \,e^{4}+c \,d^{4}\right)^{3}}-\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{2} e^{8} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3}}-\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{2} e^{8} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3}}-\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{2} e^{8} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(a \,e^{4}+c \,d^{4}\right)^{3}}-\frac{e^{7}}{\left(a \,e^{4}+c \,d^{4}\right)^{2} \left(e x +d \right)}"," ",0,"8*c*d^3*e^7*ln(e*x+d)/(a*e^4+c*d^4)^3-2*c*d^3*e^7*ln(c*x^4+a)/(a*e^4+c*d^4)^3-e^7/(a*e^4+c*d^4)^2/(e*x+d)-1/2*c^2/(a*e^4+c*d^4)^3/(c*x^4+a)*d^6*x*e^4-3*c^2/(a*e^4+c*d^4)^3/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^5*d^5-5/32/(a*e^4+c*d^4)^3*a/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*e^10-5/16/(a*e^4+c*d^4)^3*a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*e^10-5/16/(a*e^4+c*d^4)^3*a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*e^10+1/4*c^3/(a*e^4+c*d^4)^3/(c*x^4+a)*d^10/a*x-1/4*c/(a*e^4+c*d^4)^3/(c*x^4+a)*e^10*a*x^3+c/(a*e^4+c*d^4)^3/(c*x^4+a)*e^7*d^3*a+1/2*c^2/(a*e^4+c*d^4)^3/(c*x^4+a)*e^6*x^3*d^4+c^2/(a*e^4+c*d^4)^3/(c*x^4+a)*d^7*e^3-21/16*c/(a*e^4+c*d^4)^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^2*e^8+3/16*c^3/(a*e^4+c*d^4)^3/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^10-1/2*c^3/(a*e^4+c*d^4)^3/a/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e*d^9+15/16*c/(a*e^4+c*d^4)^3/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^4*e^6+15/8*c/(a*e^4+c*d^4)^3/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^4*e^6+15/8*c/(a*e^4+c*d^4)^3/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^4*e^6+3/2*c/(a*e^4+c*d^4)^3*a/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^9*d+3/4*c^3/(a*e^4+c*d^4)^3/(c*x^4+a)*e^2/a*x^3*d^8-1/2*c^3/(a*e^4+c*d^4)^3/(c*x^4+a)*d^9*e/a*x^2+1/2*c/(a*e^4+c*d^4)^3/(c*x^4+a)*d*e^9*a*x^2-3/4*c/(a*e^4+c*d^4)^3/(c*x^4+a)*d^2*a*x*e^8-21/16*c/(a*e^4+c*d^4)^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^2*e^8+3/16*c^3/(a*e^4+c*d^4)^3/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^10-21/32*c/(a*e^4+c*d^4)^3*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^2*e^8+3/32*c^3/(a*e^4+c*d^4)^3/a^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^10+7/16*c^2/(a*e^4+c*d^4)^3/a*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^6*e^4+7/8*c^2/(a*e^4+c*d^4)^3/a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^6*e^4+3/16*c^2/(a*e^4+c*d^4)^3/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^8*e^2+3/16*c^2/(a*e^4+c*d^4)^3/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^8*e^2+7/8*c^2/(a*e^4+c*d^4)^3/a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^6*e^4+3/32*c^2/(a*e^4+c*d^4)^3/a/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^8*e^2","A"
407,1,2121,1190,0.026000," ","int(1/(e*x+d)^3/(c*x^4+a)^2,x)","-\frac{5 a \,c^{2} d^{3} e^{10} x^{3}}{2 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right)}+\frac{3 c^{4} d^{11} e^{2} x^{3}}{2 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right) a}-\frac{c^{3} d^{7} e^{6} x^{3}}{\left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right)}-\frac{a^{2} c \,e^{13} x^{2}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right)}+\frac{11 a \,c^{2} d^{4} e^{9} x^{2}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right)}-\frac{3 c^{4} d^{12} e \,x^{2}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right) a}+\frac{9 c^{3} d^{8} e^{5} x^{2}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right)}+\frac{3 a^{2} c d \,e^{12} x}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right)}-\frac{3 a^{2} c \,e^{13} \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \sqrt{a c}}-\frac{9 a \,c^{2} d^{5} e^{8} x}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right)}+\frac{63 a \,c^{2} d^{4} e^{9} \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \sqrt{a c}}+\frac{c^{4} d^{13} x}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right) a}-\frac{3 c^{4} d^{12} e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \sqrt{a c}\, a}-\frac{11 c^{3} d^{9} e^{4} x}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right)}-\frac{33 c^{3} d^{8} e^{5} \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \sqrt{a c}}-\frac{3 a^{2} c \,d^{2} e^{11}}{2 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right)}+\frac{a \,c^{2} d^{6} e^{7}}{\left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right)}-\frac{45 \sqrt{2}\, a c \,d^{3} e^{10} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{45 \sqrt{2}\, a c \,d^{3} e^{10} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{45 \sqrt{2}\, a c \,d^{3} e^{10} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{3 a c \,d^{2} e^{11} \ln \left(c \,x^{4}+a \right)}{\left(a \,e^{4}+c \,d^{4}\right)^{4}}-\frac{12 a c \,d^{2} e^{11} \ln \left(e x +d \right)}{\left(a \,e^{4}+c \,d^{4}\right)^{4}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, a c d \,e^{12} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{4}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, a c d \,e^{12} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{4}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, a c d \,e^{12} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(a \,e^{4}+c \,d^{4}\right)^{4}}+\frac{3 \sqrt{2}\, c^{3} d^{11} e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(\frac{a}{c}\right)^{\frac{1}{4}} a}+\frac{3 \sqrt{2}\, c^{3} d^{11} e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(\frac{a}{c}\right)^{\frac{1}{4}} a}+\frac{3 \sqrt{2}\, c^{3} d^{11} e^{2} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(\frac{a}{c}\right)^{\frac{1}{4}} a}+\frac{27 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{3} d^{9} e^{4} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{4} a}+\frac{27 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{3} d^{9} e^{4} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{4} a}+\frac{27 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{3} d^{9} e^{4} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(a \,e^{4}+c \,d^{4}\right)^{4} a}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{4} d^{13} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{4} a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{4} d^{13} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{4} a^{2}}+\frac{3 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{4} d^{13} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(a \,e^{4}+c \,d^{4}\right)^{4} a^{2}}+\frac{5 c^{3} d^{10} e^{3}}{2 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(c \,x^{4}+a \right)}+\frac{27 \sqrt{2}\, c^{2} d^{7} e^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{27 \sqrt{2}\, c^{2} d^{7} e^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{27 \sqrt{2}\, c^{2} d^{7} e^{6} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{4} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{9 c^{2} d^{6} e^{7} \ln \left(c \,x^{4}+a \right)}{\left(a \,e^{4}+c \,d^{4}\right)^{4}}+\frac{36 c^{2} d^{6} e^{7} \ln \left(e x +d \right)}{\left(a \,e^{4}+c \,d^{4}\right)^{4}}-\frac{147 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{5} e^{8} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{4}}-\frac{147 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{5} e^{8} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{4}}-\frac{147 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{5} e^{8} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{32 \left(a \,e^{4}+c \,d^{4}\right)^{4}}-\frac{8 c \,d^{3} e^{7}}{\left(a \,e^{4}+c \,d^{4}\right)^{3} \left(e x +d \right)}-\frac{e^{7}}{2 \left(a \,e^{4}+c \,d^{4}\right)^{2} \left(e x +d \right)^{2}}"," ",0,"-1/2*e^7/(a*e^4+c*d^4)^2/(e*x+d)^2-8*c*d^3*e^7/(a*e^4+c*d^4)^3/(e*x+d)-12*e^11*d^2*c/(a*e^4+c*d^4)^4*ln(e*x+d)*a-1/4*c/(a*e^4+c*d^4)^4/(c*x^4+a)*e^13*a^2*x^2-3/2*c/(a*e^4+c*d^4)^4/(c*x^4+a)*e^11*d^2*a^2-c^3/(a*e^4+c*d^4)^4/(c*x^4+a)*d^7*e^6*x^3+9/4*c^3/(a*e^4+c*d^4)^4/(c*x^4+a)*e^5*x^2*d^8-11/4*c^3/(a*e^4+c*d^4)^4/(c*x^4+a)*d^9*x*e^4+1/4*c^4/(a*e^4+c*d^4)^4/(c*x^4+a)*d^13/a*x+c^2/(a*e^4+c*d^4)^4/(c*x^4+a)*a*d^6*e^7-33/4*c^3/(a*e^4+c*d^4)^4/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^5*d^8-3/4*c/(a*e^4+c*d^4)^4*a^2/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^13+3*c/(a*e^4+c*d^4)^4*a*ln(c*x^4+a)*e^11*d^2+36*e^7*d^6*c^2/(a*e^4+c*d^4)^4*ln(e*x+d)+5/2*c^3/(a*e^4+c*d^4)^4/(c*x^4+a)*d^10*e^3-9*c^2/(a*e^4+c*d^4)^4*ln(c*x^4+a)*e^7*d^6+27/16*c^3/(a*e^4+c*d^4)^4/a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^9*e^4+21/32*c/(a*e^4+c*d^4)^4*a*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d*e^12+21/16*c/(a*e^4+c*d^4)^4*a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d*e^12-45/16*c/(a*e^4+c*d^4)^4*a/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^3*e^10-45/8*c/(a*e^4+c*d^4)^4*a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^3*e^10-45/8*c/(a*e^4+c*d^4)^4*a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^3*e^10-147/16*c^2/(a*e^4+c*d^4)^4*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^5*e^8+27/8*c^2/(a*e^4+c*d^4)^4/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^7*e^6+27/4*c^2/(a*e^4+c*d^4)^4/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^7*e^6+27/4*c^2/(a*e^4+c*d^4)^4/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^7*e^6+63/4*c^2/(a*e^4+c*d^4)^4*a/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^9*d^4+3/16*c^4/(a*e^4+c*d^4)^4/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^13+3/32*c^4/(a*e^4+c*d^4)^4/a^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^13+3/16*c^4/(a*e^4+c*d^4)^4/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^13-3/4*c^4/(a*e^4+c*d^4)^4/a/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e*d^12-147/16*c^2/(a*e^4+c*d^4)^4*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^5*e^8-147/32*c^2/(a*e^4+c*d^4)^4*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^5*e^8-5/2*c^2/(a*e^4+c*d^4)^4/(c*x^4+a)*d^3*e^10*a*x^3+3/2*c^4/(a*e^4+c*d^4)^4/(c*x^4+a)*d^11*e^2/a*x^3+11/4*c^2/(a*e^4+c*d^4)^4/(c*x^4+a)*e^9*a*x^2*d^4-3/4*c^4/(a*e^4+c*d^4)^4/(c*x^4+a)*e/a*x^2*d^12-9/4*c^2/(a*e^4+c*d^4)^4/(c*x^4+a)*d^5*a*x*e^8+3/4*c/(a*e^4+c*d^4)^4/(c*x^4+a)*d*a^2*x*e^12+3/16*c^3/(a*e^4+c*d^4)^4/a/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^11*e^2+3/8*c^3/(a*e^4+c*d^4)^4/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^11*e^2+3/8*c^3/(a*e^4+c*d^4)^4/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^11*e^2+27/16*c^3/(a*e^4+c*d^4)^4/a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^9*e^4+27/32*c^3/(a*e^4+c*d^4)^4/a*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^9*e^4+21/16*c/(a*e^4+c*d^4)^4*a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d*e^12","A"
408,1,470,299,0.007000," ","int((e*x+d)^3/(c*x^4+a)^3,x)","\frac{e^{3} x^{4}}{8 \left(c \,x^{4}+a \right)^{2} a}+\frac{3 d \,e^{2} x^{3}}{8 \left(c \,x^{4}+a \right)^{2} a}+\frac{e^{3} x^{4}}{8 \left(c \,x^{4}+a \right) a^{2}}+\frac{3 d^{2} e \,x^{2}}{8 \left(c \,x^{4}+a \right)^{2} a}+\frac{15 d \,e^{2} x^{3}}{32 \left(c \,x^{4}+a \right) a^{2}}+\frac{d^{3} x}{8 \left(c \,x^{4}+a \right)^{2} a}+\frac{9 d^{2} e \,x^{2}}{16 \left(c \,x^{4}+a \right) a^{2}}+\frac{7 d^{3} x}{32 \left(c \,x^{4}+a \right) a^{2}}+\frac{9 d^{2} e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{16 \sqrt{a c}\, a^{2}}+\frac{15 \sqrt{2}\, d \,e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}+\frac{15 \sqrt{2}\, d \,e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}+\frac{15 \sqrt{2}\, d \,e^{2} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{3} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{3} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{3} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 a^{3}}"," ",0,"1/8*d^3*x/a/(c*x^4+a)^2+7/32*d^3/a^2*x/(c*x^4+a)+21/256*d^3/a^3*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+21/128*d^3/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+21/128*d^3/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)+3/8*e*d^2*x^2/a/(c*x^4+a)^2+9/16*e*d^2/a^2*x^2/(c*x^4+a)+9/16*e*d^2/a^2/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)+3/8*d*e^2*x^3/a/(c*x^4+a)^2+15/32*d*e^2/a^2*x^3/(c*x^4+a)+15/256*d*e^2/a^2/c/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+15/128*d*e^2/a^2/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+15/128*d*e^2/a^2/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)+1/8*e^3*x^4/a/(c*x^4+a)^2+1/8*e^3/a^2*x^4/(c*x^4+a)","A"
409,1,419,265,0.007000," ","int((e*x+d)^2/(c*x^4+a)^3,x)","\frac{e^{2} x^{3}}{8 \left(c \,x^{4}+a \right)^{2} a}+\frac{d e \,x^{2}}{4 \left(c \,x^{4}+a \right)^{2} a}+\frac{5 e^{2} x^{3}}{32 \left(c \,x^{4}+a \right) a^{2}}+\frac{d^{2} x}{8 \left(c \,x^{4}+a \right)^{2} a}+\frac{3 d e \,x^{2}}{8 \left(c \,x^{4}+a \right) a^{2}}+\frac{7 d^{2} x}{32 \left(c \,x^{4}+a \right) a^{2}}+\frac{3 d e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{8 \sqrt{a c}\, a^{2}}+\frac{5 \sqrt{2}\, e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}+\frac{5 \sqrt{2}\, e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}+\frac{5 \sqrt{2}\, e^{2} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2} c}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d^{2} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 a^{3}}"," ",0,"1/8*d^2*x/a/(c*x^4+a)^2+7/32*d^2/a^2*x/(c*x^4+a)+21/256*d^2/a^3*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+21/128*d^2/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+21/128*d^2/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)+1/4*d*e*x^2/a/(c*x^4+a)^2+3/8*d*e/a^2*x^2/(c*x^4+a)+3/8*d*e/a^2/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)+1/8*e^2*x^3/a/(c*x^4+a)^2+5/32*e^2/a^2*x^3/(c*x^4+a)+5/256*e^2/a^2/c/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+5/128*e^2/a^2/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+5/128*e^2/a^2/c/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
410,1,222,187,0.007000," ","int((e*x+d)/(c*x^4+a)^3,x)","\frac{e \,x^{2}}{8 \left(c \,x^{4}+a \right)^{2} a}+\frac{d x}{8 \left(c \,x^{4}+a \right)^{2} a}+\frac{3 e \,x^{2}}{16 \left(c \,x^{4}+a \right) a^{2}}+\frac{7 d x}{32 \left(c \,x^{4}+a \right) a^{2}}+\frac{3 e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{16 \sqrt{a c}\, a^{2}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, d \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 a^{3}}"," ",0,"1/8*d*x/a/(c*x^4+a)^2+7/32*d/a^2*x/(c*x^4+a)+21/256*d/a^3*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+21/128*d/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+21/128*d/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)+1/8*e*x^2/a/(c*x^4+a)^2+3/16*e/a^2*x^2/(c*x^4+a)+3/16*e/a^2/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)","A"
411,1,158,150,0.005000," ","int(1/(c*x^4+a)^3,x)","\frac{x}{8 \left(c \,x^{4}+a \right)^{2} a}+\frac{7 x}{32 \left(c \,x^{4}+a \right) a^{2}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 a^{3}}"," ",0,"1/8*x/a/(c*x^4+a)^2+7/32*x/a^2/(c*x^4+a)+21/256/a^3*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))+21/128/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)+21/128/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)","A"
412,1,2098,1071,0.025000," ","int(1/(e*x+d)/(c*x^4+a)^3,x)","\frac{9 c^{3} d^{5} e^{6} x^{7}}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2} a}+\frac{5 c^{4} d^{9} e^{2} x^{7}}{32 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2} a^{2}}+\frac{13 c^{2} d \,e^{10} x^{7}}{32 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}-\frac{5 c^{3} d^{6} e^{5} x^{6}}{8 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2} a}-\frac{3 c^{4} d^{10} e \,x^{6}}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2} a^{2}}-\frac{7 c^{2} d^{2} e^{9} x^{6}}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}+\frac{11 c^{3} d^{7} e^{4} x^{5}}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2} a}+\frac{7 c^{4} d^{11} x^{5}}{32 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2} a^{2}}+\frac{15 c^{2} d^{3} e^{8} x^{5}}{32 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}+\frac{a c \,e^{11} x^{4}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}+\frac{c^{2} d^{4} e^{7} x^{4}}{4 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}+\frac{17 a c d \,e^{10} x^{3}}{32 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}+\frac{9 c^{3} d^{9} e^{2} x^{3}}{32 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2} a}+\frac{13 c^{2} d^{5} e^{6} x^{3}}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}-\frac{9 a c \,d^{2} e^{9} x^{2}}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}-\frac{5 c^{3} d^{10} e \,x^{2}}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2} a}-\frac{7 c^{2} d^{6} e^{5} x^{2}}{8 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}+\frac{19 a c \,d^{3} e^{8} x}{32 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}+\frac{11 c^{3} d^{11} x}{32 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2} a}+\frac{15 c^{2} d^{7} e^{4} x}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}+\frac{3 a^{2} e^{11}}{8 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}+\frac{a c \,d^{4} e^{7}}{2 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}-\frac{5 c^{2} d^{6} e^{5} \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{8 \left(a \,e^{4}+c \,d^{4}\right)^{3} \sqrt{a c}\, a}-\frac{3 c^{3} d^{10} e \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \sqrt{a c}\, a^{2}}+\frac{c^{2} d^{8} e^{3}}{8 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(c \,x^{4}+a \right)^{2}}-\frac{15 c \,d^{2} e^{9} \arctan \left(\sqrt{\frac{c}{a}}\, x^{2}\right)}{16 \left(a \,e^{4}+c \,d^{4}\right)^{3} \sqrt{a c}}+\frac{9 \sqrt{2}\, c \,d^{5} e^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}} a}+\frac{9 \sqrt{2}\, c \,d^{5} e^{6} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}} a}+\frac{9 \sqrt{2}\, c \,d^{5} e^{6} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{128 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}} a}+\frac{77 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{3} e^{8} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 \left(a \,e^{4}+c \,d^{4}\right)^{3} a}+\frac{77 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{3} e^{8} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 \left(a \,e^{4}+c \,d^{4}\right)^{3} a}+\frac{77 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c \,d^{3} e^{8} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 \left(a \,e^{4}+c \,d^{4}\right)^{3} a}+\frac{5 \sqrt{2}\, c^{2} d^{9} e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}+\frac{5 \sqrt{2}\, c^{2} d^{9} e^{2} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}+\frac{5 \sqrt{2}\, c^{2} d^{9} e^{2} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}} a^{2}}+\frac{33 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{7} e^{4} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(a \,e^{4}+c \,d^{4}\right)^{3} a^{2}}+\frac{33 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{7} e^{4} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(a \,e^{4}+c \,d^{4}\right)^{3} a^{2}}+\frac{33 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{2} d^{7} e^{4} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{128 \left(a \,e^{4}+c \,d^{4}\right)^{3} a^{2}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{3} d^{11} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 \left(a \,e^{4}+c \,d^{4}\right)^{3} a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{3} d^{11} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 \left(a \,e^{4}+c \,d^{4}\right)^{3} a^{3}}+\frac{21 \left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, c^{3} d^{11} \ln \left(\frac{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 \left(a \,e^{4}+c \,d^{4}\right)^{3} a^{3}}+\frac{45 \sqrt{2}\, d \,e^{10} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}-1\right)}{128 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{45 \sqrt{2}\, d \,e^{10} \arctan \left(\frac{\sqrt{2}\, x}{\left(\frac{a}{c}\right)^{\frac{1}{4}}}+1\right)}{128 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}+\frac{45 \sqrt{2}\, d \,e^{10} \ln \left(\frac{x^{2}-\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}{x^{2}+\left(\frac{a}{c}\right)^{\frac{1}{4}} \sqrt{2}\, x +\sqrt{\frac{a}{c}}}\right)}{256 \left(a \,e^{4}+c \,d^{4}\right)^{3} \left(\frac{a}{c}\right)^{\frac{1}{4}}}-\frac{e^{11} \ln \left(c \,x^{4}+a \right)}{4 \left(a \,e^{4}+c \,d^{4}\right)^{3}}+\frac{e^{11} \ln \left(e x +d \right)}{\left(a \,e^{4}+c \,d^{4}\right)^{3}}"," ",0,"e^11*ln(e*x+d)/(a*e^4+c*d^4)^3-1/4*e^11*ln(c*x^4+a)/(a*e^4+c*d^4)^3+3/8/(a*e^4+c*d^4)^3/(c*x^4+a)^2*e^11*a^2+33/128*c^2/(a*e^4+c*d^4)^3/a^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^7*e^4+33/64*c^2/(a*e^4+c*d^4)^3/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^7*e^4+77/128*c/(a*e^4+c*d^4)^3/a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^3*e^8+5/256*c^2/(a*e^4+c*d^4)^3/a^2/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^9*e^2+5/128*c^2/(a*e^4+c*d^4)^3/a^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^9*e^2+5/128*c^2/(a*e^4+c*d^4)^3/a^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^9*e^2+9/64*c/(a*e^4+c*d^4)^3/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^5*e^6+9/64*c/(a*e^4+c*d^4)^3/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^5*e^6+77/128*c/(a*e^4+c*d^4)^3/a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^3*e^8+77/256*c/(a*e^4+c*d^4)^3/a*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^3*e^8+9/128*c/(a*e^4+c*d^4)^3/a/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^5*e^6+33/64*c^2/(a*e^4+c*d^4)^3/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^7*e^4+13/32*c^2/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d*e^10*x^7-7/16*c^2/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^2*e^9*x^6+15/32*c^2/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^3*x^5*e^8+7/32*c^4/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^11/a^2*x^5+1/4*c^2/(a*e^4+c*d^4)^3/(c*x^4+a)^2*x^4*e^7*d^4+13/16*c^2/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^5*e^6*x^3+1/4*c/(a*e^4+c*d^4)^3/(c*x^4+a)^2*x^4*e^11*a+1/2*c/(a*e^4+c*d^4)^3/(c*x^4+a)^2*e^7*d^4*a-7/8*c^2/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^6*e^5*x^2+15/16*c^2/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^7*x*e^4+11/32*c^3/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^11/a*x-15/16*c/(a*e^4+c*d^4)^3/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^9*d^2+45/256/(a*e^4+c*d^4)^3/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d*e^10+45/128/(a*e^4+c*d^4)^3/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d*e^10+45/128/(a*e^4+c*d^4)^3/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d*e^10+9/32*c^3/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^9*e^2/a*x^3-5/16*c^3/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^10*e/a*x^2-9/16*c/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^2*e^9*a*x^2+19/32*c/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^3*a*x*e^8+21/128*c^3/(a*e^4+c*d^4)^3/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^11+21/256*c^3/(a*e^4+c*d^4)^3/a^3*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^11+21/128*c^3/(a*e^4+c*d^4)^3/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^11-5/8*c^2/(a*e^4+c*d^4)^3/a/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^5*d^6-3/16*c^3/(a*e^4+c*d^4)^3/a^2/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e*d^10-3/16*c^4/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^10*e/a^2*x^6+11/16*c^3/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^7/a*x^5*e^4+17/32*c/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d*e^10*a*x^3+9/16*c^3/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^5*e^6/a*x^7+5/32*c^4/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^9*e^2/a^2*x^7+1/8*c^2/(a*e^4+c*d^4)^3/(c*x^4+a)^2*e^3*d^8-5/8*c^3/(a*e^4+c*d^4)^3/(c*x^4+a)^2*d^6*e^5/a*x^6","A"
413,1,2769,1545,0.033000," ","int(1/(e*x+d)^2/(c*x^4+a)^3,x)","\text{Expression too large to display}"," ",0,"12*c*d^3*e^11*ln(e*x+d)/(a*e^4+c*d^4)^4-3*c*d^3*e^11*ln(c*x^4+a)/(a*e^4+c*d^4)^4-e^11/(a*e^4+c*d^4)^3/(e*x+d)+231/128*c^2/(a*e^4+c*d^4)^4/a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^6*e^8+99/128*c^3/(a*e^4+c*d^4)^4/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^10*e^4+231/256*c^2/(a*e^4+c*d^4)^4/a*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^6*e^8+1/2*c^3/(a*e^4+c*d^4)^4/(c*x^4+a)^2*e^3*d^11+99/256*c^3/(a*e^4+c*d^4)^4/a^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^10*e^4+231/128*c^2/(a*e^4+c*d^4)^4/a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^6*e^8+99/128*c^3/(a*e^4+c*d^4)^4/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^10*e^4+81/256*c^2/(a*e^4+c*d^4)^4/a/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^8*e^6+81/128*c^2/(a*e^4+c*d^4)^4/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^8*e^6+15/128*c^3/(a*e^4+c*d^4)^4/a^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^12*e^2+15/128*c^3/(a*e^4+c*d^4)^4/a^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^12*e^2+81/128*c^2/(a*e^4+c*d^4)^4/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^8*e^6+15/256*c^3/(a*e^4+c*d^4)^4/a^2/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^12*e^2+5/2*c/(a*e^4+c*d^4)^4/(c*x^4+a)^2*e^11*d^3*a^2-17/32*c/(a*e^4+c*d^4)^4/(c*x^4+a)^2*e^14*a^2*x^3+11/32*c^4/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^14/a*x+2*c^3/(a*e^4+c*d^4)^4/(c*x^4+a)^2*x^4*d^7*e^7-13/32*c^2/(a*e^4+c*d^4)^4/(c*x^4+a)^2*e^14*a*x^7+7/32*c^5/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^14/a^2*x^5+3*c^2/(a*e^4+c*d^4)^4/(c*x^4+a)^2*e^7*d^7*a+101/32*c^3/(a*e^4+c*d^4)^4/(c*x^4+a)^2*e^6*x^3*d^8-17/8*c^3/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^9*e^5*x^2+29/32*c^3/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^10*x*e^4+53/32*c^3/(a*e^4+c*d^4)^4/(c*x^4+a)^2*e^10*x^7*d^4-5/8*c^3/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^5*e^9*x^6-19/32*c^3/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^6*x^5*e^8-45/8*c^2/(a*e^4+c*d^4)^4/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^9*d^5-45/256/(a*e^4+c*d^4)^4*a/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*e^14-45/128/(a*e^4+c*d^4)^4*a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*e^14-45/128/(a*e^4+c*d^4)^4*a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*e^14+9/8*c/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d*e^13*a^2*x^2-57/32*c/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^2*a^2*x*e^12-15/8*c^3/(a*e^4+c*d^4)^4/a/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^5*d^9-3/8*c^4/(a*e^4+c*d^4)^4/a^2/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e*d^13+405/256*c/(a*e^4+c*d^4)^4/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^4*e^10+405/128*c/(a*e^4+c*d^4)^4/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^4*e^10+405/128*c/(a*e^4+c*d^4)^4/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^4*e^10+27/32*c^4/(a*e^4+c*d^4)^4/(c*x^4+a)^2*e^2/a*x^3*d^12-3/8*c^2/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^5*e^9*a*x^2-5/8*c^4/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^13*e/a*x^2-39/32*c^2/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^6*a*x*e^8+2*c^2/(a*e^4+c*d^4)^4/(c*x^4+a)^2*x^4*a*d^3*e^11+81/32*c^4/(a*e^4+c*d^4)^4/(c*x^4+a)^2*e^6/a*x^7*d^8+15/32*c^5/(a*e^4+c*d^4)^4/(c*x^4+a)^2*e^2/a^2*x^7*d^12+7/8*c^2/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d*e^13*a*x^6-15/8*c^4/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^9*e^5/a*x^6-3/8*c^5/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^13*e/a^2*x^6-45/32*c^2/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^2*a*x^5*e^12+33/32*c^4/(a*e^4+c*d^4)^4/(c*x^4+a)^2*d^10/a*x^5*e^4+57/32*c^2/(a*e^4+c*d^4)^4/(c*x^4+a)^2*e^10*a*x^3*d^4+15/8*c/(a*e^4+c*d^4)^4*a/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^13*d-231/128*c/(a*e^4+c*d^4)^4*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^2*e^12+21/128*c^4/(a*e^4+c*d^4)^4/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^14-231/256*c/(a*e^4+c*d^4)^4*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^2*e^12+21/256*c^4/(a*e^4+c*d^4)^4/a^3*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^14-231/128*c/(a*e^4+c*d^4)^4*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^2*e^12+21/128*c^4/(a*e^4+c*d^4)^4/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^14","A"
414,1,3334,1905,0.038000," ","int(1/(e*x+d)^3/(c*x^4+a)^3,x)","\text{output too large to display}"," ",0,"-1/2*e^11/(a*e^4+c*d^4)^3/(e*x+d)^2-12*c*d^3*e^11/(a*e^4+c*d^4)^4/(e*x+d)+165/32*c^3/(a*e^4+c*d^4)^5/a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^9*e^8+75/64*c^4/(a*e^4+c*d^4)^5/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^13*e^4+165/64*c^3/(a*e^4+c*d^4)^5/a*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^9*e^8+75/128*c^4/(a*e^4+c*d^4)^5/a^2*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^13*e^4+165/32*c^3/(a*e^4+c*d^4)^5/a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^9*e^8+78*e^11*d^6*c^2/(a*e^4+c*d^4)^5*ln(e*x+d)+5/4*c^4/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e^3*d^14-39/2*c^2/(a*e^4+c*d^4)^5*ln(c*x^4+a)*e^11*d^6-129/16*c^3/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^5*a*x^5*e^12+25/16*c^5/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^13/a*x^5*e^4-125/16*c^2/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^3*e^14*a^2*x^3-31/16*c^3/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^7*e^10*a*x^3+27/16*c^5/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^15*e^2/a*x^3+75/8*c^2/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e^13*a^2*x^2*d^4+15/2*c^3/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e^9*a*x^2*d^8-15/16*c^5/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e/a*x^2*d^16-141/16*c^2/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^5*a^2*x*e^12-85/8*c^3/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^9*a*x*e^8-3*c^2/(a*e^4+c*d^4)^5/(c*x^4+a)^2*x^4*a^2*d^2*e^15+6*c^3/(a*e^4+c*d^4)^5/(c*x^4+a)^2*x^4*a*d^6*e^11-105/16*c^3/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^3*e^14*a*x^7+117/16*c^5/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^11*e^6/a*x^7+15/16*c^6/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^15*e^2/a^2*x^7-1155/64*c^2/(a*e^4+c*d^4)^5*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^5*e^12-1155/128*c^2/(a*e^4+c*d^4)^5*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^5*e^12-1155/64*c^2/(a*e^4+c*d^4)^5*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^5*e^12+1053/64*c^2/(a*e^4+c*d^4)^5/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^7*e^10+1053/128*c^2/(a*e^4+c*d^4)^5/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^7*e^10+1053/64*c^2/(a*e^4+c*d^4)^5/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^7*e^10-9/16*c^5/(a*e^4+c*d^4)^5/a^2/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e*d^16+21/128*c^5/(a*e^4+c*d^4)^5/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^17+21/256*c^5/(a*e^4+c*d^4)^5/a^3*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^17+21/128*c^5/(a*e^4+c*d^4)^5/a^3*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^17+225/8*c^2/(a*e^4+c*d^4)^5*a/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^13*d^4-33/8*c^4/(a*e^4+c*d^4)^5/a/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^5*d^12+57/32*c/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d*a^3*x*e^16+65/8*c^3/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e^13*a*x^6*d^4-33/8*c^5/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e^5/a*x^6*d^12-9/16*c^6/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e/a^2*x^6*d^16+45/32*c^2/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d*a^2*x^5*e^16-18*e^15*d^2*c/(a*e^4+c*d^4)^5*ln(e*x+d)*a+5*c^4/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e^9*x^6*d^8-65/8*c^4/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^9*x^5*e^8+121/16*c^4/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^11*e^6*x^3-27/8*c^4/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e^5*x^2*d^12+5/16*c^4/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^13*x*e^4+9*c^4/(a*e^4+c*d^4)^5/(c*x^4+a)^2*x^4*d^10*e^7-7/16*c^2/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e^17*a^2*x^6+7/32*c^6/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^17/a^2*x^5+11/32*c^5/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^17/a*x+43/4*c^3/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e^7*d^10*a+23/4*c^2/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e^11*d^6*a^2-3/16*c^4/(a*e^4+c*d^4)^5/(c*x^4+a)^2*d^7*e^10*x^7-9/16*c/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e^17*a^3*x^2-15/4*c/(a*e^4+c*d^4)^5/(c*x^4+a)^2*e^15*d^2*a^3-15/16*c/(a*e^4+c*d^4)^5*a^2/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^17+9/2*c/(a*e^4+c*d^4)^5*a*ln(c*x^4+a)*e^15*d^2-45/2*c^3/(a*e^4+c*d^4)^5/(a*c)^(1/2)*arctan((1/a*c)^(1/2)*x^2)*e^9*d^8+75/64*c^4/(a*e^4+c*d^4)^5/a^2*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^13*e^4+117/64*c^3/(a*e^4+c*d^4)^5/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^11*e^6+117/128*c^3/(a*e^4+c*d^4)^5/a/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^11*e^6+117/64*c^3/(a*e^4+c*d^4)^5/a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^11*e^6+15/64*c^4/(a*e^4+c*d^4)^5/a^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^15*e^2+15/128*c^4/(a*e^4+c*d^4)^5/a^2/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^15*e^2+15/64*c^4/(a*e^4+c*d^4)^5/a^2/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^15*e^2-585/64*c/(a*e^4+c*d^4)^5*a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d^3*e^14-585/128*c/(a*e^4+c*d^4)^5*a/(a/c)^(1/4)*2^(1/2)*ln((x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d^3*e^14-585/64*c/(a*e^4+c*d^4)^5*a/(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d^3*e^14+231/128*c/(a*e^4+c*d^4)^5*a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x-1)*d*e^16+231/256*c/(a*e^4+c*d^4)^5*a*(a/c)^(1/4)*2^(1/2)*ln((x^2+(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2))/(x^2-(a/c)^(1/4)*2^(1/2)*x+(a/c)^(1/2)))*d*e^16+231/128*c/(a*e^4+c*d^4)^5*a*(a/c)^(1/4)*2^(1/2)*arctan(2^(1/2)/(a/c)^(1/4)*x+1)*d*e^16","A"
415,1,29,28,0.002000," ","int((x-1)/(x^2-x+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}+\frac{\ln \left(x^{2}-x +1\right)}{2}"," ",0,"1/2*ln(x^2-x+1)-1/3*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))","A"
416,1,29,28,0.002000," ","int((x^2-1)/(x^3+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}+\frac{\ln \left(x^{2}-x +1\right)}{2}"," ",0,"-1/3*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))+1/2*ln(x^2-x+1)","A"
417,1,29,28,0.003000," ","int((-4+3*x)/(x^2-2*x+4),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -2\right) \sqrt{3}}{6}\right)}{3}+\frac{3 \ln \left(x^{2}-2 x +4\right)}{2}"," ",0,"3/2*ln(x^2-2*x+4)-1/3*3^(1/2)*arctan(1/6*(2*x-2)*3^(1/2))","A"
418,1,29,28,0.003000," ","int((3*x^2+2*x-8)/(x^3+8),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -2\right) \sqrt{3}}{6}\right)}{3}+\frac{3 \ln \left(x^{2}-2 x +4\right)}{2}"," ",0,"-1/3*3^(1/2)*arctan(1/6*(2*x-2)*3^(1/2))+3/2*ln(x^2-2*x+4)","A"
419,1,29,33,0.003000," ","int((x+2)/(x^2+2*x-1),x)","-\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 x +2\right) \sqrt{2}}{4}\right)}{2}+\frac{\ln \left(x^{2}+2 x -1\right)}{2}"," ",0,"1/2*ln(x^2+2*x-1)-1/2*2^(1/2)*arctanh(1/4*(2*x+2)*2^(1/2))","A"
420,1,29,33,0.003000," ","int((x^2-4)/(x^3-5*x+2),x)","-\frac{\sqrt{2}\, \arctanh \left(\frac{\left(2 x +2\right) \sqrt{2}}{4}\right)}{2}+\frac{\ln \left(x^{2}+2 x -1\right)}{2}"," ",0,"1/2*ln(x^2+2*x-1)-1/2*2^(1/2)*arctanh(1/4*(2*x+2)*2^(1/2))","A"
421,1,18,6,0.005000," ","int(2/(4*x^2-1),x)","\frac{\ln \left(2 x -1\right)}{2}-\frac{\ln \left(2 x +1\right)}{2}"," ",0,"1/2*ln(2*x-1)-1/2*ln(2*x+1)","B"
422,1,18,17,0.002000," ","int(1/(2*x-1)-1/(2*x+1),x)","\frac{\ln \left(2 x -1\right)}{2}-\frac{\ln \left(2 x +1\right)}{2}"," ",0,"1/2*ln(2*x-1)-1/2*ln(2*x+1)","A"
423,1,10,11,0.001000," ","int(x/(-x^2+1)^5,x)","\frac{1}{8 \left(x^{2}-1\right)^{4}}"," ",0,"1/8/(x^2-1)^4","A"
424,1,58,11,0.002000," ","int(-1/32/(x-1)^5+3/64/(x-1)^4-5/128/(x-1)^3+5/256/(x-1)^2-1/32/(x+1)^5-3/64/(x+1)^4-5/128/(x+1)^3-5/256/(x+1)^2,x)","\frac{1}{128 \left(x -1\right)^{4}}-\frac{1}{64 \left(x -1\right)^{3}}+\frac{5}{256 \left(x -1\right)^{2}}-\frac{5}{256 \left(x -1\right)}+\frac{1}{128 \left(x +1\right)^{4}}+\frac{1}{64 \left(x +1\right)^{3}}+\frac{5}{256 \left(x +1\right)^{2}}+\frac{5}{256 \left(x +1\right)}"," ",0,"1/128/(x-1)^4-1/64/(x-1)^3+5/256/(x-1)^2-5/256/(x-1)+1/128/(x+1)^4+1/64/(x+1)^3+5/256/(x+1)^2+5/256/(x+1)","B"
425,1,67,58,0.009000," ","int((x^6+1)/(x^6-1),x)","x -\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\frac{\ln \left(x -1\right)}{3}-\frac{\ln \left(x +1\right)}{3}+\frac{\ln \left(x^{2}-x +1\right)}{6}-\frac{\ln \left(x^{2}+x +1\right)}{6}"," ",0,"x+1/3*ln(x-1)-1/6*ln(x^2+x+1)-1/3*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))+1/6*ln(x^2-x+1)-1/3*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))-1/3*ln(x+1)","A"
426,1,67,58,0.003000," ","int((1/x^3+x^3)/(-1/x^3+x^3),x)","x -\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\frac{\ln \left(x -1\right)}{3}-\frac{\ln \left(x +1\right)}{3}+\frac{\ln \left(x^{2}-x +1\right)}{6}-\frac{\ln \left(x^{2}+x +1\right)}{6}"," ",0,"x-1/3*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))-1/3*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))+1/3*ln(x-1)-1/3*ln(x+1)+1/6*ln(x^2-x+1)-1/6*ln(x^2+x+1)","A"
427,1,21,20,0.003000," ","int((x^3-x)/(6+2*x),x)","\frac{x^{3}}{6}-\frac{3 x^{2}}{4}+4 x -12 \ln \left(x +3\right)"," ",0,"4*x-3/4*x^2+1/6*x^3-12*ln(x+3)","A"
428,1,21,22,0.002000," ","int((x^3+x)/(x-1),x)","\frac{x^{3}}{3}+\frac{x^{2}}{2}+2 x +2 \ln \left(x -1\right)"," ",0,"1/3*x^3+1/2*x^2+2*x+2*ln(x-1)","A"
429,1,16,15,0.000000," ","int(a*c+(b*c+d)*x,x)","a c x +\frac{\left(b c +d \right) x^{2}}{2}"," ",0,"a*c*x+1/2*(b*c+d)*x^2","A"
430,1,20,20,0.001000," ","int(d*x+c*(b*x+a),x)","\frac{d \,x^{2}}{2}+\left(\frac{1}{2} b \,x^{2}+a x \right) c"," ",0,"1/2*d*x^2+c*(1/2*b*x^2+a*x)","A"
431,1,23,22,0.007000," ","int((4+4*x)/x^2/(x^2+1),x)","-4 \arctan \left(x \right)+4 \ln \left(x \right)-2 \ln \left(x^{2}+1\right)-\frac{4}{x}"," ",0,"-4/x-4*arctan(x)+4*ln(x)-2*ln(x^2+1)","A"
432,1,16,17,0.007000," ","int((24+8*x)/x/(x^2-4),x)","-6 \ln \left(x \right)+5 \ln \left(x -2\right)+\ln \left(x +2\right)"," ",0,"5*ln(x-2)+ln(x+2)-6*ln(x)","A"
433,1,14,15,0.006000," ","int((x^2-1)/(x^3-2*x),x)","\frac{\ln \left(x \right)}{2}+\frac{\ln \left(x^{2}-2\right)}{4}"," ",0,"1/4*ln(x^2-2)+1/2*ln(x)","A"
434,1,11,10,0.001000," ","int((x^2+1)/(x^3+3*x),x)","\frac{\ln \left(\left(x^{2}+3\right) x \right)}{3}"," ",0,"1/3*ln(x*(x^2+3))","A"
435,1,11,10,0.002000," ","int((3*b*x^2+a)/(b*x^3+a*x),x)","\ln \left(\left(b \,x^{2}+a \right) x \right)"," ",0,"ln(x*(b*x^2+a))","A"
436,1,16,17,0.005000," ","int((-2+4*x)/(x^3-x),x)","2 \ln \left(x \right)+\ln \left(x -1\right)-3 \ln \left(x +1\right)"," ",0,"ln(x-1)-3*ln(x+1)+2*ln(x)","A"
437,1,18,17,0.005000," ","int((x+4)/(x^3+4*x),x)","\frac{\arctan \left(\frac{x}{2}\right)}{2}+\ln \left(x \right)-\frac{\ln \left(x^{2}+4\right)}{2}"," ",0,"1/2*arctan(1/2*x)+ln(x)-1/2*ln(x^2+4)","A"
438,1,14,13,0.000000," ","int((2*x^3-x)/(x^4-x^2+1),x)","\frac{\ln \left(x^{4}-x^{2}+1\right)}{2}"," ",0,"1/2*ln(x^4-x^2+1)","A"
439,1,18,17,0.006000," ","int((x-3)/(x^3+3*x^2+2*x),x)","-\frac{3 \ln \left(x \right)}{2}+4 \ln \left(x +1\right)-\frac{5 \ln \left(x +2\right)}{2}"," ",0,"-3/2*ln(x)+4*ln(x+1)-5/2*ln(x+2)","A"
440,1,14,10,0.003000," ","int((2+4*x)/(x^4+2*x^3+x^2),x)","-\frac{2}{x}+\frac{2}{x +1}"," ",0,"-2/x+2/(x+1)","A"
441,1,18,19,0.006000," ","int((x+1)/(x^3+x^2-6*x),x)","-\frac{\ln \left(x \right)}{6}+\frac{3 \ln \left(x -2\right)}{10}-\frac{2 \ln \left(x +3\right)}{15}"," ",0,"3/10*ln(x-2)-2/15*ln(x+3)-1/6*ln(x)","A"
442,1,15,14,0.001000," ","int((x^3+4*x^2)/(x^3+x),x)","x -\arctan \left(x \right)+2 \ln \left(x^{2}+1\right)"," ",0,"x-arctan(x)+2*ln(x^2+1)","A"
443,1,30,11,0.010000," ","int((2*x^3+x)/(x^4+x^2)^3,x)","\frac{1}{2 x^{2}}-\frac{1}{4 x^{4}}-\frac{1}{4 \left(x^{2}+1\right)^{2}}-\frac{1}{2 \left(x^{2}+1\right)}"," ",0,"-1/4/(x^2+1)^2-1/2/(x^2+1)-1/4/x^4+1/2/x^2","B"
444,1,32,26,0.003000," ","int((b*x^3+a*x^2)/(d*x^3+c*x^2),x)","\frac{a \ln \left(d x +c \right)}{d}-\frac{b c \ln \left(d x +c \right)}{d^{2}}+\frac{b x}{d}"," ",0,"b*x/d+1/d*ln(d*x+c)*a-1/d^2*ln(d*x+c)*b*c","A"
445,1,5,6,0.001000," ","int((x^2+x)/(x^3-x^2-2*x),x)","\ln \left(x -2\right)"," ",0,"ln(x-2)","A"
446,1,19,18,0.007000," ","int((-5*x^2+1)/x^3/(x^2+1),x)","-6 \ln \left(x \right)+3 \ln \left(x^{2}+1\right)-\frac{1}{2 x^{2}}"," ",0,"-1/2/x^2-6*ln(x)+3*ln(x^2+1)","A"
447,1,28,29,0.005000," ","int(2*x/(x-1)/(x^2+5),x)","\frac{\sqrt{5}\, \arctan \left(\frac{\sqrt{5}\, x}{5}\right)}{3}+\frac{\ln \left(x -1\right)}{3}-\frac{\ln \left(x^{2}+5\right)}{6}"," ",0,"1/3*ln(x-1)-1/6*ln(x^2+5)+1/3*5^(1/2)*arctan(1/5*5^(1/2)*x)","A"
448,1,16,15,0.002000," ","int((x^2+2)/(x+2),x)","\frac{x^{2}}{2}-2 x +6 \ln \left(x +2\right)"," ",0,"-2*x+1/2*x^2+6*ln(x+2)","A"
449,1,22,23,0.005000," ","int(1/(x-3)/(x^2+4),x)","-\frac{3 \arctan \left(\frac{x}{2}\right)}{26}+\frac{\ln \left(x -3\right)}{13}-\frac{\ln \left(x^{2}+4\right)}{26}"," ",0,"-1/26*ln(x^2+4)-3/26*arctan(1/2*x)+1/13*ln(x-3)","A"
450,1,16,15,0.006000," ","int((3*x^6-2)/x/(2*x^6+5),x)","-\frac{2 \ln \left(x \right)}{5}+\frac{19 \ln \left(2 x^{6}+5\right)}{60}"," ",0,"-2/5*ln(x)+19/60*ln(2*x^6+5)","A"
451,1,9,11,0.000000," ","int((2*x+3)/(x-2)/(x+5),x)","\ln \left(\left(x -2\right) \left(x +5\right)\right)"," ",0,"ln((x-2)*(x+5))","A"
452,1,13,12,0.006000," ","int(x^4/(x^4+5*x^2+4),x)","x +\frac{\arctan \left(x \right)}{3}-\frac{8 \arctan \left(\frac{x}{2}\right)}{3}"," ",0,"x-8/3*arctan(1/2*x)+1/3*arctan(x)","A"
453,1,39,38,0.010000," ","int(1/(x+1)/(x+2)^2/(x+3)^3,x)","\frac{\ln \left(x +1\right)}{8}+2 \ln \left(x +2\right)-\frac{17 \ln \left(x +3\right)}{8}+\frac{1}{x +2}+\frac{1}{4 \left(x +3\right)^{2}}+\frac{5}{4 \left(x +3\right)}"," ",0,"1/(x+2)+1/4/(x+3)^2+5/4/(x+3)+1/8*ln(x+1)+2*ln(x+2)-17/8*ln(x+3)","A"
454,1,14,10,0.002000," ","int(x/(x^2-1),x)","\frac{\ln \left(x -1\right)}{2}+\frac{\ln \left(x +1\right)}{2}"," ",0,"1/2*ln(x-1)+1/2*ln(x+1)","A"
455,1,28,17,0.008000," ","int(1/(x^2-1)^2,x)","-\frac{\ln \left(x -1\right)}{4}+\frac{\ln \left(x +1\right)}{4}-\frac{1}{4 \left(x -1\right)}-\frac{1}{4 \left(x +1\right)}"," ",0,"-1/4/(x-1)-1/4*ln(x-1)-1/4/(x+1)+1/4*ln(x+1)","A"
456,1,16,15,0.006000," ","int(x^2/(x^2+1)^2,x)","-\frac{x}{2 \left(x^{2}+1\right)}+\frac{\arctan \left(x \right)}{2}"," ",0,"-1/2/(x^2+1)*x+1/2*arctan(x)","A"
457,1,9,8,0.001000," ","int(1/(3*x+2),x)","\frac{\ln \left(3 x +2\right)}{3}"," ",0,"1/3*ln(3*x+2)","A"
458,1,11,10,0.003000," ","int(1/(a^2+x^2),x)","\frac{\arctan \left(\frac{x}{a}\right)}{a}"," ",0,"arctan(x/a)/a","A"
459,1,16,16,0.002000," ","int(1/(b*x^2+a),x)","\frac{\arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"1/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
460,1,17,16,0.002000," ","int(1/(x^2-x+2),x)","\frac{2 \sqrt{7}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{7}}{7}\right)}{7}"," ",0,"2/7*7^(1/2)*arctan(1/7*(2*x-1)*7^(1/2))","A"
461,1,17,16,0.000000," ","int(x^2*(-x^2+4)^2,x)","\frac{1}{7} x^{7}-\frac{8}{5} x^{5}+\frac{16}{3} x^{3}"," ",0,"16/3*x^3-8/5*x^5+1/7*x^7","A"
462,1,17,16,0.000000," ","int(x*(-x^3+1)^2,x)","\frac{1}{8} x^{8}-\frac{2}{5} x^{5}+\frac{1}{2} x^{2}"," ",0,"1/2*x^2-2/5*x^5+1/8*x^8","A"
463,1,15,14,0.003000," ","int((x^3+5*x^2-4)/x^2,x)","\frac{x^{2}}{2}+5 x +\frac{4}{x}"," ",0,"4/x+5*x+1/2*x^2","A"
464,1,31,30,0.005000," ","int((x-1)/(3*x^2-4*x+3),x)","-\frac{\sqrt{5}\, \arctan \left(\frac{\left(6 x -4\right) \sqrt{5}}{10}\right)}{15}+\frac{\ln \left(3 x^{2}-4 x +3\right)}{6}"," ",0,"1/6*ln(3*x^2-4*x+3)-1/15*5^(1/2)*arctan(1/10*(6*x-4)*5^(1/2))","A"
465,1,13,12,0.001000," ","int((x^3+2)^2,x)","\frac{1}{7} x^{7}+x^{4}+4 x"," ",0,"4*x+x^4+1/7*x^7","A"
466,1,10,9,0.001000," ","int((x^2-4)/(x+2),x)","\frac{1}{2} x^{2}-2 x"," ",0,"-2*x+1/2*x^2","A"
467,1,20,19,0.005000," ","int(1/(x+2)/(x^2+1),x)","\frac{2 \arctan \left(x \right)}{5}+\frac{\ln \left(x +2\right)}{5}-\frac{\ln \left(x^{2}+1\right)}{10}"," ",0,"2/5*arctan(x)+1/5*ln(x+2)-1/10*ln(x^2+1)","A"
468,1,20,19,0.003000," ","int(1/(x+1)/(x^2+1),x)","\frac{\arctan \left(x \right)}{2}+\frac{\ln \left(x +1\right)}{2}-\frac{\ln \left(x^{2}+1\right)}{4}"," ",0,"1/2*arctan(x)+1/2*ln(x+1)-1/4*ln(x^2+1)","A"
469,1,20,19,0.005000," ","int(x/(x+1)/(x^2+1),x)","\frac{\arctan \left(x \right)}{2}-\frac{\ln \left(x +1\right)}{2}+\frac{\ln \left(x^{2}+1\right)}{4}"," ",0,"1/2*arctan(x)-1/2*ln(x+1)+1/4*ln(x^2+1)","A"
470,1,8,9,0.003000," ","int((x^2+2*x)/(x+1)^2,x)","x +\frac{1}{x +1}"," ",0,"x+1/(x+1)","A"
471,1,17,16,0.007000," ","int((x^2-10)/(2*x^4+9*x^2+4),x)","-\frac{3 \sqrt{2}\, \arctan \left(\sqrt{2}\, x \right)}{2}+\arctan \left(\frac{x}{2}\right)"," ",0,"arctan(1/2*x)-3/2*2^(1/2)*arctan(2^(1/2)*x)","A"
472,1,31,30,0.003000," ","int((31+5*x)/(3*x^2-4*x+11),x)","\frac{103 \sqrt{29}\, \arctan \left(\frac{\left(6 x -4\right) \sqrt{29}}{58}\right)}{87}+\frac{5 \ln \left(3 x^{2}-4 x +11\right)}{6}"," ",0,"5/6*ln(3*x^2-4*x+11)+103/87*29^(1/2)*arctan(1/58*(6*x-4)*29^(1/2))","A"
473,1,14,13,0.004000," ","int((x^3+x^2-2)/x^4,x)","\ln \left(x \right)-\frac{1}{x}+\frac{2}{3 x^{3}}"," ",0,"2/3/x^3-1/x+ln(x)","A"
474,1,14,13,0.005000," ","int((x^3+x+1)/x^2,x)","\frac{x^{2}}{2}+\ln \left(x \right)-\frac{1}{x}"," ",0,"-1/x+1/2*x^2+ln(x)","A"
475,1,12,11,0.005000," ","int((x^2-2)/x/(x^2+2),x)","-\ln \left(x \right)+\ln \left(x^{2}+2\right)"," ",0,"-ln(x)+ln(x^2+2)","A"
476,1,18,20,0.000000," ","int((x-3)*(4*x^2-7),x)","x^{4}-4 x^{3}-\frac{7}{2} x^{2}+21 x"," ",0,"x^4-4*x^3-7/2*x^2+21*x","A"
477,1,10,9,0.000000," ","int((-2+7*x)^3,x)","\frac{\left(7 x -2\right)^{4}}{28}"," ",0,"1/28*(-2+7*x)^4","A"
478,1,14,13,0.002000," ","int((4*x^2-7)/(2*x+3),x)","x^{2}-3 x +\ln \left(2 x +3\right)"," ",0,"-3*x+x^2+ln(2*x+3)","A"
479,1,15,16,0.007000," ","int((x+1)/(x-1)/x^2,x)","-2 \ln \left(x \right)+2 \ln \left(x -1\right)+\frac{1}{x}"," ",0,"2*ln(x-1)+1/x-2*ln(x)","A"
480,1,24,23,0.008000," ","int(1/(x^4+4*x^3+4*x^2),x)","-\frac{\ln \left(x \right)}{4}+\frac{\ln \left(x +2\right)}{4}-\frac{1}{4 x}-\frac{1}{4 \left(x +2\right)}"," ",0,"-1/4*ln(x)+1/4*ln(x+2)-1/4/x-1/4/(x+2)","A"
481,1,16,15,0.002000," ","int((x^2+1)/(x+1),x)","\frac{x^{2}}{2}-x +2 \ln \left(x +1\right)"," ",0,"-x+1/2*x^2+2*ln(x+1)","A"
482,1,17,16,0.005000," ","int((x^3-3*x^2+3*x-1)/x^2,x)","\frac{x^{2}}{2}-3 x +3 \ln \left(x \right)+\frac{1}{x}"," ",0,"1/x-3*x+1/2*x^2+3*ln(x)","A"
483,1,28,14,0.001000," ","int((x+3/2-1/2*37^(1/2))*(x+3/2+1/2*37^(1/2)),x)","\frac{x^{3}}{3}+\frac{3 x^{2}}{2}+\left(\frac{3}{2}-\frac{\sqrt{37}}{2}\right) \left(\frac{3}{2}+\frac{\sqrt{37}}{2}\right) x"," ",0,"1/3*x^3+3/2*x^2+(3/2-1/2*37^(1/2))*(3/2+1/2*37^(1/2))*x","A"
484,1,22,21,0.006000," ","int((2*x^3+3*x^2+4)/(x+1)^4,x)","2 \ln \left(x +1\right)-\frac{5}{3 \left(x +1\right)^{3}}+\frac{3}{x +1}"," ",0,"-5/3/(x+1)^3+3/(x+1)+2*ln(x+1)","A"
485,1,13,12,0.004000," ","int(x/(x+1)^2/(x^2+1),x)","\frac{\arctan \left(x \right)}{2}+\frac{1}{2 x +2}"," ",0,"1/2/(x+1)+1/2*arctan(x)","A"
486,1,26,25,0.001000," ","int((x^4-x^3+3*x^2-2*x+7)/(x+2),x)","\frac{x^{4}}{4}-x^{3}+\frac{9 x^{2}}{2}-20 x +47 \ln \left(x +2\right)"," ",0,"-20*x+9/2*x^2-x^3+1/4*x^4+47*ln(x+2)","A"
487,1,13,12,0.000000," ","int((x^3-1)/(x-1),x)","\frac{1}{3} x^{3}+\frac{1}{2} x^{2}+x"," ",0,"x+1/2*x^2+1/3*x^3","A"
488,1,16,17,0.006000," ","int((2*x+2)/(x-1)^3/(x^2+1),x)","\arctan \left(x \right)-\frac{1}{\left(x -1\right)^{2}}+\frac{1}{x -1}"," ",0,"-1/(x-1)^2+1/(x-1)+arctan(x)","A"
489,1,43,39,0.006000," ","int(1/(b*x+c*(e*x+d)^2),x)","-\frac{2 \arctanh \left(\frac{2 c \,e^{2} x +2 c d e +b}{\sqrt{4 b c d e +b^{2}}}\right)}{\sqrt{4 b c d e +b^{2}}}"," ",0,"-2/(4*b*c*d*e+b^2)^(1/2)*arctanh((2*c*e^2*x+2*c*d*e+b)/(4*b*c*d*e+b^2)^(1/2))","A"
490,1,61,53,0.004000," ","int(1/(a+b*x+c*(e*x+d)^2),x)","\frac{2 \arctan \left(\frac{2 c \,e^{2} x +2 c d e +b}{\sqrt{4 a c \,e^{2}-4 b c d e -b^{2}}}\right)}{\sqrt{4 a c \,e^{2}-4 b c d e -b^{2}}}"," ",0,"2/(4*a*c*e^2-4*b*c*d*e-b^2)^(1/2)*arctan((2*c*e^2*x+2*c*d*e+b)/(4*a*c*e^2-4*b*c*d*e-b^2)^(1/2))","A"
491,1,308,132,0.102000," ","int(x^2/(1+(x^2-1)^2),x)","\frac{\sqrt{2}\, \left(2+2 \sqrt{2}\right) \arctan \left(\frac{2 x -\sqrt{2+2 \sqrt{2}}}{\sqrt{-2+2 \sqrt{2}}}\right)}{4 \sqrt{-2+2 \sqrt{2}}}-\frac{\left(2+2 \sqrt{2}\right) \arctan \left(\frac{2 x -\sqrt{2+2 \sqrt{2}}}{\sqrt{-2+2 \sqrt{2}}}\right)}{4 \sqrt{-2+2 \sqrt{2}}}+\frac{\sqrt{2}\, \left(2+2 \sqrt{2}\right) \arctan \left(\frac{2 x +\sqrt{2+2 \sqrt{2}}}{\sqrt{-2+2 \sqrt{2}}}\right)}{4 \sqrt{-2+2 \sqrt{2}}}-\frac{\left(2+2 \sqrt{2}\right) \arctan \left(\frac{2 x +\sqrt{2+2 \sqrt{2}}}{\sqrt{-2+2 \sqrt{2}}}\right)}{4 \sqrt{-2+2 \sqrt{2}}}+\frac{\sqrt{2+2 \sqrt{2}}\, \sqrt{2}\, \ln \left(x^{2}-\sqrt{2+2 \sqrt{2}}\, x +\sqrt{2}\right)}{8}-\frac{\sqrt{2+2 \sqrt{2}}\, \ln \left(x^{2}-\sqrt{2+2 \sqrt{2}}\, x +\sqrt{2}\right)}{8}-\frac{\sqrt{2+2 \sqrt{2}}\, \sqrt{2}\, \ln \left(x^{2}+\sqrt{2+2 \sqrt{2}}\, x +\sqrt{2}\right)}{8}+\frac{\sqrt{2+2 \sqrt{2}}\, \ln \left(x^{2}+\sqrt{2+2 \sqrt{2}}\, x +\sqrt{2}\right)}{8}"," ",0,"-1/8*(2+2*2^(1/2))^(1/2)*2^(1/2)*ln(x^2+2^(1/2)+x*(2+2*2^(1/2))^(1/2))+1/4*2^(1/2)*(2+2*2^(1/2))/(-2+2*2^(1/2))^(1/2)*arctan((2*x+(2+2*2^(1/2))^(1/2))/(-2+2*2^(1/2))^(1/2))+1/8*(2+2*2^(1/2))^(1/2)*ln(x^2+2^(1/2)+x*(2+2*2^(1/2))^(1/2))-1/4*(2+2*2^(1/2))/(-2+2*2^(1/2))^(1/2)*arctan((2*x+(2+2*2^(1/2))^(1/2))/(-2+2*2^(1/2))^(1/2))+1/8*(2+2*2^(1/2))^(1/2)*2^(1/2)*ln(x^2+2^(1/2)-x*(2+2*2^(1/2))^(1/2))+1/4*2^(1/2)*(2+2*2^(1/2))/(-2+2*2^(1/2))^(1/2)*arctan((2*x-(2+2*2^(1/2))^(1/2))/(-2+2*2^(1/2))^(1/2))-1/8*(2+2*2^(1/2))^(1/2)*ln(x^2+2^(1/2)-x*(2+2*2^(1/2))^(1/2))-1/4*(2+2*2^(1/2))/(-2+2*2^(1/2))^(1/2)*arctan((2*x-(2+2*2^(1/2))^(1/2))/(-2+2*2^(1/2))^(1/2))","B"
492,1,28,60,0.007000," ","int((30*x^9-8*x^7-15*x^6-140*x^5+34*x^4-12*x^3-5*x^2+36*x-15)/(x^4+x+3)^4,x)","\frac{-5 x^{6}+x^{4}+5 x^{2}-3 x +2}{\left(x^{4}+x +3\right)^{3}}"," ",0,"(-5*x^6+x^4+5*x^2-3*x+2)/(x^4+x+3)^3","A"
493,1,250,27,0.030000," ","int(3*(19*x^3+120*x^2+228*x-47)/(x^4+x+3)^4+(-8*x^3-75*x^2-320*x+42)/(x^4+x+3)^3+30*x/(x^4+x+3)^2,x)","\frac{\left(-255032 \RootOf \left(\textit{\_Z}^{4}+\textit{\_Z} +3\right)^{2}+1829456 \RootOf \left(\textit{\_Z}^{4}+\textit{\_Z} +3\right)-680601\right) \ln \left(-\RootOf \left(\textit{\_Z}^{4}+\textit{\_Z} +3\right)+x \right)}{780300 \RootOf \left(\textit{\_Z}^{4}+\textit{\_Z} +3\right)^{3}+195075}+\frac{2 \left(-16 \RootOf \left(\textit{\_Z}^{4}+\textit{\_Z} +3\right)^{2}+128 \RootOf \left(\textit{\_Z}^{4}+\textit{\_Z} +3\right)-3\right) \ln \left(-\RootOf \left(\textit{\_Z}^{4}+\textit{\_Z} +3\right)+x \right)}{51 \left(4 \RootOf \left(\textit{\_Z}^{4}+\textit{\_Z} +3\right)^{3}+1\right)}+\frac{\left(377432 \RootOf \left(\textit{\_Z}^{4}+\textit{\_Z} +3\right)^{2}-2808656 \RootOf \left(\textit{\_Z}^{4}+\textit{\_Z} +3\right)+703551\right) \ln \left(-\RootOf \left(\textit{\_Z}^{4}+\textit{\_Z} +3\right)+x \right)}{780300 \RootOf \left(\textit{\_Z}^{4}+\textit{\_Z} +3\right)^{3}+195075}+\frac{\frac{377432}{195075} x^{7}-\frac{1404328}{195075} x^{6}+\frac{234517}{195075} x^{5}+\frac{660506}{195075} x^{4}-\frac{208792}{195075} x^{3}-\frac{13339729}{390150} x^{2}+\frac{89881}{13005} x +\frac{121303}{21675}}{\left(x^{4}+x +3\right)^{2}}+\frac{-\frac{32}{51} x^{3}+\frac{128}{51} x^{2}-\frac{2}{51} x -\frac{8}{17}}{x^{4}+x +3}+\frac{-\frac{255032}{195075} x^{11}+\frac{914728}{195075} x^{10}-\frac{226867}{195075} x^{9}-\frac{701338}{195075} x^{8}+\frac{236024}{195075} x^{7}+\frac{13501313}{390150} x^{6}-\frac{2360372}{195075} x^{5}-\frac{1873778}{195075} x^{4}+\frac{10935781}{390150} x^{3}+\frac{3415123}{43350} x^{2}-\frac{188961}{7225} x -\frac{76253}{7225}}{\left(x^{4}+x +3\right)^{3}}"," ",0,"(377432/195075*x^7-1404328/195075*x^6+234517/195075*x^5+660506/195075*x^4-208792/195075*x^3-13339729/390150*x^2+89881/13005*x+121303/21675)/(x^4+x+3)^2+1/195075*sum((377432*_R^2-2808656*_R+703551)/(4*_R^3+1)*ln(-_R+x),_R=RootOf(_Z^4+_Z+3))+30*(-16/765*x^3+64/765*x^2-1/765*x-4/255)/(x^4+x+3)+2/51*sum((-16*_R^2+128*_R-3)/(4*_R^3+1)*ln(-_R+x),_R=RootOf(_Z^4+_Z+3))+3*(-255032/585225*x^11+914728/585225*x^10-226867/585225*x^9-701338/585225*x^8+236024/585225*x^7+13501313/1170450*x^6-2360372/585225*x^5-1873778/585225*x^4+10935781/1170450*x^3+3415123/130050*x^2-62987/7225*x-76253/21675)/(x^4+x+3)^3+1/195075*sum((-255032*_R^2+1829456*_R-680601)/(4*_R^3+1)*ln(-_R+x),_R=RootOf(_Z^4+_Z+3))","C"
494,1,112,27,0.019000," ","int((-30*x^5+4*x^3+10*x-3)/(x^4+x+3)^3-3*(4*x^3+1)*(-5*x^6+x^4+5*x^2-3*x+2)/(x^4+x+3)^4,x)","-\frac{-\frac{34568}{195075} x^{7}+\frac{73672}{195075} x^{6}+\frac{15392}{195075} x^{5}-\frac{60494}{195075} x^{4}-\frac{68792}{195075} x^{3}-\frac{583927}{195075} x^{2}+\frac{3356}{13005} x -\frac{2069}{43350}}{\left(x^{4}+x +3\right)^{2}}+\frac{-\frac{34568}{195075} x^{11}+\frac{73672}{195075} x^{10}+\frac{15392}{195075} x^{9}-\frac{95062}{195075} x^{8}-\frac{98824}{195075} x^{7}-\frac{1322894}{195075} x^{6}+\frac{36022}{195075} x^{5}-\frac{129019}{390150} x^{4}-\frac{790303}{195075} x^{3}-\frac{80674}{21675} x^{2}-\frac{32853}{14450} x +\frac{26831}{14450}}{\left(x^{4}+x +3\right)^{3}}"," ",0,"-(-34568/195075*x^7+73672/195075*x^6+15392/195075*x^5-60494/195075*x^4-68792/195075*x^3-583927/195075*x^2+3356/13005*x-2069/43350)/(x^4+x+3)^2+3*(-34568/585225*x^11+73672/585225*x^10+15392/585225*x^9-95062/585225*x^8-98824/585225*x^7-1322894/585225*x^6+36022/585225*x^5-129019/1170450*x^4-790303/585225*x^3-80674/65025*x^2-10951/14450*x+26831/43350)/(x^4+x+3)^3","B"