1,0,0,0,0.000000," ","integrate(1/(-9*b*x+9*x^3+2*b^(3/2)*3^(1/2)),x, algorithm=""maxima"")","\int \frac{1}{9 \, x^{3} + 2 \, \sqrt{3} b^{\frac{3}{2}} - 9 \, b x}\,{d x}"," ",0,"integrate(1/(9*x^3 + 2*sqrt(3)*b^(3/2) - 9*b*x), x)","F",0
2,1,25,0,0.489446," ","integrate((b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^p,x, algorithm=""maxima"")","\frac{{\left(b x + a\right)} {\left(b x + a\right)}^{3 \, p}}{b {\left(3 \, p + 1\right)}}"," ",0,"(b*x + a)*(b*x + a)^(3*p)/(b*(3*p + 1))","A",0
3,1,216,0,0.686148," ","integrate((b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^3,x, algorithm=""maxima"")","\frac{1}{10} \, b^{9} x^{10} + a b^{8} x^{9} + \frac{27}{8} \, a^{2} b^{7} x^{8} + \frac{27}{7} \, a^{3} b^{6} x^{7} + \frac{27}{4} \, a^{6} b^{3} x^{4} + a^{9} x + \frac{3}{4} \, {\left(b^{3} x^{4} + 4 \, a b^{2} x^{3} + 6 \, a^{2} b x^{2}\right)} a^{6} + \frac{9}{10} \, {\left(5 \, b^{3} x^{6} + 18 \, a b^{2} x^{5}\right)} a^{4} b^{2} + \frac{3}{70} \, {\left(10 \, b^{6} x^{7} + 70 \, a b^{5} x^{6} + 126 \, a^{2} b^{4} x^{5} + 210 \, a^{4} b^{2} x^{3} + 21 \, {\left(4 \, b^{3} x^{5} + 15 \, a b^{2} x^{4}\right)} a^{2} b\right)} a^{3} + \frac{9}{56} \, {\left(7 \, b^{6} x^{8} + 48 \, a b^{5} x^{7} + 84 \, a^{2} b^{4} x^{6}\right)} a^{2} b"," ",0,"1/10*b^9*x^10 + a*b^8*x^9 + 27/8*a^2*b^7*x^8 + 27/7*a^3*b^6*x^7 + 27/4*a^6*b^3*x^4 + a^9*x + 3/4*(b^3*x^4 + 4*a*b^2*x^3 + 6*a^2*b*x^2)*a^6 + 9/10*(5*b^3*x^6 + 18*a*b^2*x^5)*a^4*b^2 + 3/70*(10*b^6*x^7 + 70*a*b^5*x^6 + 126*a^2*b^4*x^5 + 210*a^4*b^2*x^3 + 21*(4*b^3*x^5 + 15*a*b^2*x^4)*a^2*b)*a^3 + 9/56*(7*b^6*x^8 + 48*a*b^5*x^7 + 84*a^2*b^4*x^6)*a^2*b","B",0
4,1,99,0,0.657315," ","integrate((b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^2,x, algorithm=""maxima"")","\frac{1}{7} \, b^{6} x^{7} + a b^{5} x^{6} + \frac{9}{5} \, a^{2} b^{4} x^{5} + 3 \, a^{4} b^{2} x^{3} + a^{6} x + \frac{1}{2} \, {\left(b^{3} x^{4} + 4 \, a b^{2} x^{3} + 6 \, a^{2} b x^{2}\right)} a^{3} + \frac{3}{10} \, {\left(4 \, b^{3} x^{5} + 15 \, a b^{2} x^{4}\right)} a^{2} b"," ",0,"1/7*b^6*x^7 + a*b^5*x^6 + 9/5*a^2*b^4*x^5 + 3*a^4*b^2*x^3 + a^6*x + 1/2*(b^3*x^4 + 4*a*b^2*x^3 + 6*a^2*b*x^2)*a^3 + 3/10*(4*b^3*x^5 + 15*a*b^2*x^4)*a^2*b","B",0
5,1,31,0,0.735497," ","integrate(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3,x, algorithm=""maxima"")","\frac{1}{4} \, b^{3} x^{4} + a b^{2} x^{3} + \frac{3}{2} \, a^{2} b x^{2} + a^{3} x"," ",0,"1/4*b^3*x^4 + a*b^2*x^3 + 3/2*a^2*b*x^2 + a^3*x","A",0
6,1,24,0,0.648619," ","integrate(1/(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3),x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(b^{3} x^{2} + 2 \, a b^{2} x + a^{2} b\right)}}"," ",0,"-1/2/(b^3*x^2 + 2*a*b^2*x + a^2*b)","A",0
7,1,57,0,0.713880," ","integrate(1/(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^2,x, algorithm=""maxima"")","-\frac{1}{5 \, {\left(b^{6} x^{5} + 5 \, a b^{5} x^{4} + 10 \, a^{2} b^{4} x^{3} + 10 \, a^{3} b^{3} x^{2} + 5 \, a^{4} b^{2} x + a^{5} b\right)}}"," ",0,"-1/5/(b^6*x^5 + 5*a*b^5*x^4 + 10*a^2*b^4*x^3 + 10*a^3*b^3*x^2 + 5*a^4*b^2*x + a^5*b)","B",0
8,1,90,0,0.537956," ","integrate(1/(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)^3,x, algorithm=""maxima"")","-\frac{1}{8 \, {\left(b^{9} x^{8} + 8 \, a b^{8} x^{7} + 28 \, a^{2} b^{7} x^{6} + 56 \, a^{3} b^{6} x^{5} + 70 \, a^{4} b^{5} x^{4} + 56 \, a^{5} b^{4} x^{3} + 28 \, a^{6} b^{3} x^{2} + 8 \, a^{7} b^{2} x + a^{8} b\right)}}"," ",0,"-1/8/(b^9*x^8 + 8*a*b^8*x^7 + 28*a^2*b^7*x^6 + 56*a^3*b^6*x^5 + 70*a^4*b^5*x^4 + 56*a^5*b^4*x^3 + 28*a^6*b^3*x^2 + 8*a^7*b^2*x + a^8*b)","B",0
9,1,204,0,0.675982," ","integrate((c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)^3,x, algorithm=""maxima"")","\frac{1}{10} \, c^{6} x^{10} + b c^{5} x^{9} + \frac{27}{8} \, b^{2} c^{4} x^{8} + \frac{27}{7} \, b^{3} c^{3} x^{7} + \frac{27}{4} \, b^{6} x^{4} + 27 \, a^{3} b^{3} x + \frac{27}{4} \, {\left(c^{2} x^{4} + 4 \, b c x^{3} + 6 \, b^{2} x^{2}\right)} a^{2} b^{2} + \frac{9}{10} \, {\left(5 \, c^{2} x^{6} + 18 \, b c x^{5}\right)} b^{4} + \frac{9}{70} \, {\left(10 \, c^{4} x^{7} + 70 \, b c^{3} x^{6} + 126 \, b^{2} c^{2} x^{5} + 210 \, b^{4} x^{3} + 21 \, {\left(4 \, c^{2} x^{5} + 15 \, b c x^{4}\right)} b^{2}\right)} a b + \frac{9}{56} \, {\left(7 \, c^{4} x^{8} + 48 \, b c^{3} x^{7} + 84 \, b^{2} c^{2} x^{6}\right)} b^{2}"," ",0,"1/10*c^6*x^10 + b*c^5*x^9 + 27/8*b^2*c^4*x^8 + 27/7*b^3*c^3*x^7 + 27/4*b^6*x^4 + 27*a^3*b^3*x + 27/4*(c^2*x^4 + 4*b*c*x^3 + 6*b^2*x^2)*a^2*b^2 + 9/10*(5*c^2*x^6 + 18*b*c*x^5)*b^4 + 9/70*(10*c^4*x^7 + 70*b*c^3*x^6 + 126*b^2*c^2*x^5 + 210*b^4*x^3 + 21*(4*c^2*x^5 + 15*b*c*x^4)*b^2)*a*b + 9/56*(7*c^4*x^8 + 48*b*c^3*x^7 + 84*b^2*c^2*x^6)*b^2","B",0
10,1,93,0,0.636024," ","integrate((c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)^2,x, algorithm=""maxima"")","\frac{1}{7} \, c^{4} x^{7} + b c^{3} x^{6} + \frac{9}{5} \, b^{2} c^{2} x^{5} + 3 \, b^{4} x^{3} + 9 \, a^{2} b^{2} x + \frac{3}{2} \, {\left(c^{2} x^{4} + 4 \, b c x^{3} + 6 \, b^{2} x^{2}\right)} a b + \frac{3}{10} \, {\left(4 \, c^{2} x^{5} + 15 \, b c x^{4}\right)} b^{2}"," ",0,"1/7*c^4*x^7 + b*c^3*x^6 + 9/5*b^2*c^2*x^5 + 3*b^4*x^3 + 9*a^2*b^2*x + 3/2*(c^2*x^4 + 4*b*c*x^3 + 6*b^2*x^2)*a*b + 3/10*(4*c^2*x^5 + 15*b*c*x^4)*b^2","A",0
11,1,28,0,0.549641," ","integrate(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b,x, algorithm=""maxima"")","\frac{1}{4} \, c^{2} x^{4} + b c x^{3} + \frac{3}{2} \, b^{2} x^{2} + 3 \, a b x"," ",0,"1/4*c^2*x^4 + b*c*x^3 + 3/2*b^2*x^2 + 3*a*b*x","A",0
12,0,0,0,0.000000," ","integrate(1/(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b),x, algorithm=""maxima"")","\int \frac{1}{c^{2} x^{3} + 3 \, b c x^{2} + 3 \, b^{2} x + 3 \, a b}\,{d x}"," ",0,"integrate(1/(c^2*x^3 + 3*b*c*x^2 + 3*b^2*x + 3*a*b), x)","F",0
13,0,0,0,0.000000," ","integrate(1/(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)^2,x, algorithm=""maxima"")","-\frac{\frac{1}{3} \, {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} c x + \sqrt{3} b - \sqrt{3} {\left(-b^{3} + 3 \, a b c\right)}^{\frac{1}{3}}}{c x + b + {\left(-b^{3} + 3 \, a b c\right)}^{\frac{1}{3}}}\right)}{{\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{3}}} - \frac{\log\left(4 \, {\left(\sqrt{3} c x + \sqrt{3} b - \sqrt{3} {\left(-b^{3} + 3 \, a b c\right)}^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(c x + b + {\left(-b^{3} + 3 \, a b c\right)}^{\frac{1}{3}}\right)}^{2}\right)}{{\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{3}}} + \frac{2 \, \log\left({\left| c x + b + {\left(-b^{3} + 3 \, a b c\right)}^{\frac{1}{3}} \right|}\right)}{{\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{3}}}\right)} c}{3 \, {\left(b^{3} - 3 \, a b c\right)}} - \frac{c x + b}{3 \, {\left(3 \, a b^{4} - 9 \, a^{2} b^{2} c + {\left(b^{3} c^{2} - 3 \, a b c^{3}\right)} x^{3} + 3 \, {\left(b^{4} c - 3 \, a b^{2} c^{2}\right)} x^{2} + 3 \, {\left(b^{5} - 3 \, a b^{3} c\right)} x\right)}}"," ",0,"-2/3*c*integrate(1/(c^2*x^3 + 3*b*c*x^2 + 3*b^2*x + 3*a*b), x)/(b^3 - 3*a*b*c) - 1/3*(c*x + b)/(3*a*b^4 - 9*a^2*b^2*c + (b^3*c^2 - 3*a*b*c^3)*x^3 + 3*(b^4*c - 3*a*b^2*c^2)*x^2 + 3*(b^5 - 3*a*b^3*c)*x)","F",0
14,0,0,0,0.000000," ","integrate(1/(c^2*x^3+3*b*c*x^2+3*b^2*x+3*a*b)^3,x, algorithm=""maxima"")","\frac{\frac{5}{6} \, {\left(\frac{2 \, \sqrt{3} \arctan\left(\frac{\sqrt{3} c x + \sqrt{3} b - \sqrt{3} {\left(-b^{3} + 3 \, a b c\right)}^{\frac{1}{3}}}{c x + b + {\left(-b^{3} + 3 \, a b c\right)}^{\frac{1}{3}}}\right)}{{\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{3}}} - \frac{\log\left(4 \, {\left(\sqrt{3} c x + \sqrt{3} b - \sqrt{3} {\left(-b^{3} + 3 \, a b c\right)}^{\frac{1}{3}}\right)}^{2} + 4 \, {\left(c x + b + {\left(-b^{3} + 3 \, a b c\right)}^{\frac{1}{3}}\right)}^{2}\right)}{{\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{3}}} + \frac{2 \, \log\left({\left| c x + b + {\left(-b^{3} + 3 \, a b c\right)}^{\frac{1}{3}} \right|}\right)}{{\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}^{\frac{1}{3}}}\right)} c^{2}}{9 \, {\left(b^{6} - 6 \, a b^{4} c + 9 \, a^{2} b^{2} c^{2}\right)}} + \frac{5 \, c^{4} x^{4} + 20 \, b c^{3} x^{3} + 30 \, b^{2} c^{2} x^{2} - 3 \, b^{4} + 24 \, a b^{2} c + 12 \, {\left(b^{3} c + 2 \, a b c^{2}\right)} x}{18 \, {\left(9 \, a^{2} b^{8} - 54 \, a^{3} b^{6} c + 81 \, a^{4} b^{4} c^{2} + {\left(b^{6} c^{4} - 6 \, a b^{4} c^{5} + 9 \, a^{2} b^{2} c^{6}\right)} x^{6} + 6 \, {\left(b^{7} c^{3} - 6 \, a b^{5} c^{4} + 9 \, a^{2} b^{3} c^{5}\right)} x^{5} + 15 \, {\left(b^{8} c^{2} - 6 \, a b^{6} c^{3} + 9 \, a^{2} b^{4} c^{4}\right)} x^{4} + 6 \, {\left(3 \, b^{9} c - 17 \, a b^{7} c^{2} + 21 \, a^{2} b^{5} c^{3} + 9 \, a^{3} b^{3} c^{4}\right)} x^{3} + 9 \, {\left(b^{10} - 4 \, a b^{8} c - 3 \, a^{2} b^{6} c^{2} + 18 \, a^{3} b^{4} c^{3}\right)} x^{2} + 18 \, {\left(a b^{9} - 6 \, a^{2} b^{7} c + 9 \, a^{3} b^{5} c^{2}\right)} x\right)}}"," ",0,"5/9*c^2*integrate(1/(c^2*x^3 + 3*b*c*x^2 + 3*b^2*x + 3*a*b), x)/(b^6 - 6*a*b^4*c + 9*a^2*b^2*c^2) + 1/18*(5*c^4*x^4 + 20*b*c^3*x^3 + 30*b^2*c^2*x^2 - 3*b^4 + 24*a*b^2*c + 12*(b^3*c + 2*a*b*c^2)*x)/(9*a^2*b^8 - 54*a^3*b^6*c + 81*a^4*b^4*c^2 + (b^6*c^4 - 6*a*b^4*c^5 + 9*a^2*b^2*c^6)*x^6 + 6*(b^7*c^3 - 6*a*b^5*c^4 + 9*a^2*b^3*c^5)*x^5 + 15*(b^8*c^2 - 6*a*b^6*c^3 + 9*a^2*b^4*c^4)*x^4 + 6*(3*b^9*c - 17*a*b^7*c^2 + 21*a^2*b^5*c^3 + 9*a^3*b^3*c^4)*x^3 + 9*(b^10 - 4*a*b^8*c - 3*a^2*b^6*c^2 + 18*a^3*b^4*c^3)*x^2 + 18*(a*b^9 - 6*a^2*b^7*c + 9*a^3*b^5*c^2)*x)","F",0
15,1,461,0,0.679512," ","integrate((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, algorithm=""maxima"")","\frac{1}{10} \, b^{3} d^{3} f^{3} x^{10} + \frac{1}{3} \, {\left(b d e + b c f + a d f\right)} b^{2} d^{2} f^{2} x^{9} + \frac{3}{8} \, {\left(b d e + b c f + a d f\right)}^{2} b d f x^{8} + a^{3} c^{3} e^{3} x + \frac{1}{7} \, {\left(b d e + b c f + a d f\right)}^{3} x^{7} + \frac{1}{4} \, {\left(3 \, b d f x^{4} + 4 \, {\left(b d e + b c f + a d f\right)} x^{3} + 6 \, {\left(b c e + a d e + a c f\right)} x^{2}\right)} a^{2} c^{2} e^{2} + \frac{1}{4} \, {\left(b c e + a d e + a c f\right)}^{3} x^{4} + \frac{1}{70} \, {\left(30 \, b^{2} d^{2} f^{2} x^{7} + 70 \, {\left(b d e + b c f + a d f\right)} b d f x^{6} + 42 \, {\left(b d e + b c f + a d f\right)}^{2} x^{5} + 70 \, {\left(b c e + a d e + a c f\right)}^{2} x^{3} + 21 \, {\left(4 \, b d f x^{5} + 5 \, {\left(b d e + {\left(b c + a d\right)} f\right)} x^{4}\right)} {\left(b c e + a d e + a c f\right)}\right)} a c e + \frac{1}{10} \, {\left(5 \, b d f x^{6} + 6 \, {\left(b d e + {\left(b c + a d\right)} f\right)} x^{5}\right)} {\left(b c e + a d e + a c f\right)}^{2} + \frac{1}{56} \, {\left(21 \, b^{2} d^{2} f^{2} x^{8} + 48 \, {\left(b^{2} d^{2} e f + {\left(b^{2} c d + a b d^{2}\right)} f^{2}\right)} x^{7} + 28 \, {\left(b^{2} d^{2} e^{2} + 2 \, {\left(b^{2} c d + a b d^{2}\right)} e f + {\left(b^{2} c^{2} + 2 \, a b c d + a^{2} d^{2}\right)} f^{2}\right)} x^{6}\right)} {\left(b c e + a d e + a c f\right)}"," ",0,"1/10*b^3*d^3*f^3*x^10 + 1/3*(b*d*e + b*c*f + a*d*f)*b^2*d^2*f^2*x^9 + 3/8*(b*d*e + b*c*f + a*d*f)^2*b*d*f*x^8 + a^3*c^3*e^3*x + 1/7*(b*d*e + b*c*f + a*d*f)^3*x^7 + 1/4*(3*b*d*f*x^4 + 4*(b*d*e + b*c*f + a*d*f)*x^3 + 6*(b*c*e + a*d*e + a*c*f)*x^2)*a^2*c^2*e^2 + 1/4*(b*c*e + a*d*e + a*c*f)^3*x^4 + 1/70*(30*b^2*d^2*f^2*x^7 + 70*(b*d*e + b*c*f + a*d*f)*b*d*f*x^6 + 42*(b*d*e + b*c*f + a*d*f)^2*x^5 + 70*(b*c*e + a*d*e + a*c*f)^2*x^3 + 21*(4*b*d*f*x^5 + 5*(b*d*e + (b*c + a*d)*f)*x^4)*(b*c*e + a*d*e + a*c*f))*a*c*e + 1/10*(5*b*d*f*x^6 + 6*(b*d*e + (b*c + a*d)*f)*x^5)*(b*c*e + a*d*e + a*c*f)^2 + 1/56*(21*b^2*d^2*f^2*x^8 + 48*(b^2*d^2*e*f + (b^2*c*d + a*b*d^2)*f^2)*x^7 + 28*(b^2*d^2*e^2 + 2*(b^2*c*d + a*b*d^2)*e*f + (b^2*c^2 + 2*a*b*c*d + a^2*d^2)*f^2)*x^6)*(b*c*e + a*d*e + a*c*f)","A",0
16,1,180,0,0.624760," ","integrate((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, algorithm=""maxima"")","\frac{1}{7} \, b^{2} d^{2} f^{2} x^{7} + \frac{1}{3} \, {\left(b d e + b c f + a d f\right)} b d f x^{6} + a^{2} c^{2} e^{2} x + \frac{1}{5} \, {\left(b d e + b c f + a d f\right)}^{2} x^{5} + \frac{1}{3} \, {\left(b c e + a d e + a c f\right)}^{2} x^{3} + \frac{1}{6} \, {\left(3 \, b d f x^{4} + 4 \, {\left(b d e + b c f + a d f\right)} x^{3} + 6 \, {\left(b c e + a d e + a c f\right)} x^{2}\right)} a c e + \frac{1}{10} \, {\left(4 \, b d f x^{5} + 5 \, {\left(b d e + {\left(b c + a d\right)} f\right)} x^{4}\right)} {\left(b c e + a d e + a c f\right)}"," ",0,"1/7*b^2*d^2*f^2*x^7 + 1/3*(b*d*e + b*c*f + a*d*f)*b*d*f*x^6 + a^2*c^2*e^2*x + 1/5*(b*d*e + b*c*f + a*d*f)^2*x^5 + 1/3*(b*c*e + a*d*e + a*c*f)^2*x^3 + 1/6*(3*b*d*f*x^4 + 4*(b*d*e + b*c*f + a*d*f)*x^3 + 6*(b*c*e + a*d*e + a*c*f)*x^2)*a*c*e + 1/10*(4*b*d*f*x^5 + 5*(b*d*e + (b*c + a*d)*f)*x^4)*(b*c*e + a*d*e + a*c*f)","A",0
17,1,50,0,0.827355," ","integrate(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, algorithm=""maxima"")","\frac{1}{4} \, b d f x^{4} + a c e x + \frac{1}{3} \, {\left(b d e + b c f + a d f\right)} x^{3} + \frac{1}{2} \, {\left(b c e + a d e + a c f\right)} x^{2}"," ",0,"1/4*b*d*f*x^4 + a*c*e*x + 1/3*(b*d*e + b*c*f + a*d*f)*x^3 + 1/2*(b*c*e + a*d*e + a*c*f)*x^2","A",0
18,1,112,0,0.646555," ","integrate(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, algorithm=""maxima"")","\frac{b \log\left(b x + a\right)}{{\left(b^{2} c - a b d\right)} e - {\left(a b c - a^{2} d\right)} f} - \frac{d \log\left(d x + c\right)}{{\left(b c d - a d^{2}\right)} e - {\left(b c^{2} - a c d\right)} f} + \frac{f \log\left(f x + e\right)}{b d e^{2} + a c f^{2} - {\left(b c + a d\right)} e f}"," ",0,"b*log(b*x + a)/((b^2*c - a*b*d)*e - (a*b*c - a^2*d)*f) - d*log(d*x + c)/((b*c*d - a*d^2)*e - (b*c^2 - a*c*d)*f) + f*log(f*x + e)/(b*d*e^2 + a*c*f^2 - (b*c + a*d)*e*f)","A",0
19,1,2096,0,1.539029," ","integrate(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, algorithm=""maxima"")","-\frac{2 \, {\left(b^{4} d e + {\left(b^{4} c - 2 \, a b^{3} d\right)} f\right)} \log\left(b x + a\right)}{{\left(b^{6} c^{3} - 3 \, a b^{5} c^{2} d + 3 \, a^{2} b^{4} c d^{2} - a^{3} b^{3} d^{3}\right)} e^{3} - 3 \, {\left(a b^{5} c^{3} - 3 \, a^{2} b^{4} c^{2} d + 3 \, a^{3} b^{3} c d^{2} - a^{4} b^{2} d^{3}\right)} e^{2} f + 3 \, {\left(a^{2} b^{4} c^{3} - 3 \, a^{3} b^{3} c^{2} d + 3 \, a^{4} b^{2} c d^{2} - a^{5} b d^{3}\right)} e f^{2} - {\left(a^{3} b^{3} c^{3} - 3 \, a^{4} b^{2} c^{2} d + 3 \, a^{5} b c d^{2} - a^{6} d^{3}\right)} f^{3}} + \frac{2 \, {\left(b d^{4} e - {\left(2 \, b c d^{3} - a d^{4}\right)} f\right)} \log\left(d x + c\right)}{{\left(b^{3} c^{3} d^{3} - 3 \, a b^{2} c^{2} d^{4} + 3 \, a^{2} b c d^{5} - a^{3} d^{6}\right)} e^{3} - 3 \, {\left(b^{3} c^{4} d^{2} - 3 \, a b^{2} c^{3} d^{3} + 3 \, a^{2} b c^{2} d^{4} - a^{3} c d^{5}\right)} e^{2} f + 3 \, {\left(b^{3} c^{5} d - 3 \, a b^{2} c^{4} d^{2} + 3 \, a^{2} b c^{3} d^{3} - a^{3} c^{2} d^{4}\right)} e f^{2} - {\left(b^{3} c^{6} - 3 \, a b^{2} c^{5} d + 3 \, a^{2} b c^{4} d^{2} - a^{3} c^{3} d^{3}\right)} f^{3}} + \frac{2 \, {\left(2 \, b d e f^{3} - {\left(b c + a d\right)} f^{4}\right)} \log\left(f x + e\right)}{b^{3} d^{3} e^{6} + a^{3} c^{3} f^{6} - 3 \, {\left(b^{3} c d^{2} + a b^{2} d^{3}\right)} e^{5} f + 3 \, {\left(b^{3} c^{2} d + 3 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} e^{4} f^{2} - {\left(b^{3} c^{3} + 9 \, a b^{2} c^{2} d + 9 \, a^{2} b c d^{2} + a^{3} d^{3}\right)} e^{3} f^{3} + 3 \, {\left(a b^{2} c^{3} + 3 \, a^{2} b c^{2} d + a^{3} c d^{2}\right)} e^{2} f^{4} - 3 \, {\left(a^{2} b c^{3} + a^{3} c^{2} d\right)} e f^{5}} - \frac{{\left(b^{3} c d^{2} + a b^{2} d^{3}\right)} e^{3} - 2 \, {\left(b^{3} c^{2} d + a^{2} b d^{3}\right)} e^{2} f + {\left(b^{3} c^{3} + a^{3} d^{3}\right)} e f^{2} + {\left(a b^{2} c^{3} - 2 \, a^{2} b c^{2} d + a^{3} c d^{2}\right)} f^{3} + 2 \, {\left(b^{3} d^{3} e^{2} f - {\left(b^{3} c d^{2} + a b^{2} d^{3}\right)} e f^{2} + {\left(b^{3} c^{2} d - a b^{2} c d^{2} + a^{2} b d^{3}\right)} f^{3}\right)} x^{2} + {\left(2 \, b^{3} d^{3} e^{3} - {\left(b^{3} c d^{2} + a b^{2} d^{3}\right)} e^{2} f - {\left(b^{3} c^{2} d + a^{2} b d^{3}\right)} e f^{2} + {\left(2 \, b^{3} c^{3} - a b^{2} c^{2} d - a^{2} b c d^{2} + 2 \, a^{3} d^{3}\right)} f^{3}\right)} x}{{\left(a b^{4} c^{3} d^{2} - 2 \, a^{2} b^{3} c^{2} d^{3} + a^{3} b^{2} c d^{4}\right)} e^{5} - 2 \, {\left(a b^{4} c^{4} d - a^{2} b^{3} c^{3} d^{2} - a^{3} b^{2} c^{2} d^{3} + a^{4} b c d^{4}\right)} e^{4} f + {\left(a b^{4} c^{5} + 2 \, a^{2} b^{3} c^{4} d - 6 \, a^{3} b^{2} c^{3} d^{2} + 2 \, a^{4} b c^{2} d^{3} + a^{5} c d^{4}\right)} e^{3} f^{2} - 2 \, {\left(a^{2} b^{3} c^{5} - a^{3} b^{2} c^{4} d - a^{4} b c^{3} d^{2} + a^{5} c^{2} d^{3}\right)} e^{2} f^{3} + {\left(a^{3} b^{2} c^{5} - 2 \, a^{4} b c^{4} d + a^{5} c^{3} d^{2}\right)} e f^{4} + {\left({\left(b^{5} c^{2} d^{3} - 2 \, a b^{4} c d^{4} + a^{2} b^{3} d^{5}\right)} e^{4} f - 2 \, {\left(b^{5} c^{3} d^{2} - a b^{4} c^{2} d^{3} - a^{2} b^{3} c d^{4} + a^{3} b^{2} d^{5}\right)} e^{3} f^{2} + {\left(b^{5} c^{4} d + 2 \, a b^{4} c^{3} d^{2} - 6 \, a^{2} b^{3} c^{2} d^{3} + 2 \, a^{3} b^{2} c d^{4} + a^{4} b d^{5}\right)} e^{2} f^{3} - 2 \, {\left(a b^{4} c^{4} d - a^{2} b^{3} c^{3} d^{2} - a^{3} b^{2} c^{2} d^{3} + a^{4} b c d^{4}\right)} e f^{4} + {\left(a^{2} b^{3} c^{4} d - 2 \, a^{3} b^{2} c^{3} d^{2} + a^{4} b c^{2} d^{3}\right)} f^{5}\right)} x^{3} + {\left({\left(b^{5} c^{2} d^{3} - 2 \, a b^{4} c d^{4} + a^{2} b^{3} d^{5}\right)} e^{5} - {\left(b^{5} c^{3} d^{2} - a b^{4} c^{2} d^{3} - a^{2} b^{3} c d^{4} + a^{3} b^{2} d^{5}\right)} e^{4} f - {\left(b^{5} c^{4} d - 2 \, a b^{4} c^{3} d^{2} + 2 \, a^{2} b^{3} c^{2} d^{3} - 2 \, a^{3} b^{2} c d^{4} + a^{4} b d^{5}\right)} e^{3} f^{2} + {\left(b^{5} c^{5} + a b^{4} c^{4} d - 2 \, a^{2} b^{3} c^{3} d^{2} - 2 \, a^{3} b^{2} c^{2} d^{3} + a^{4} b c d^{4} + a^{5} d^{5}\right)} e^{2} f^{3} - {\left(2 \, a b^{4} c^{5} - a^{2} b^{3} c^{4} d - 2 \, a^{3} b^{2} c^{3} d^{2} - a^{4} b c^{2} d^{3} + 2 \, a^{5} c d^{4}\right)} e f^{4} + {\left(a^{2} b^{3} c^{5} - a^{3} b^{2} c^{4} d - a^{4} b c^{3} d^{2} + a^{5} c^{2} d^{3}\right)} f^{5}\right)} x^{2} + {\left({\left(b^{5} c^{3} d^{2} - a b^{4} c^{2} d^{3} - a^{2} b^{3} c d^{4} + a^{3} b^{2} d^{5}\right)} e^{5} - {\left(2 \, b^{5} c^{4} d - a b^{4} c^{3} d^{2} - 2 \, a^{2} b^{3} c^{2} d^{3} - a^{3} b^{2} c d^{4} + 2 \, a^{4} b d^{5}\right)} e^{4} f + {\left(b^{5} c^{5} + a b^{4} c^{4} d - 2 \, a^{2} b^{3} c^{3} d^{2} - 2 \, a^{3} b^{2} c^{2} d^{3} + a^{4} b c d^{4} + a^{5} d^{5}\right)} e^{3} f^{2} - {\left(a b^{4} c^{5} - 2 \, a^{2} b^{3} c^{4} d + 2 \, a^{3} b^{2} c^{3} d^{2} - 2 \, a^{4} b c^{2} d^{3} + a^{5} c d^{4}\right)} e^{2} f^{3} - {\left(a^{2} b^{3} c^{5} - a^{3} b^{2} c^{4} d - a^{4} b c^{3} d^{2} + a^{5} c^{2} d^{3}\right)} e f^{4} + {\left(a^{3} b^{2} c^{5} - 2 \, a^{4} b c^{4} d + a^{5} c^{3} d^{2}\right)} f^{5}\right)} x}"," ",0,"-2*(b^4*d*e + (b^4*c - 2*a*b^3*d)*f)*log(b*x + a)/((b^6*c^3 - 3*a*b^5*c^2*d + 3*a^2*b^4*c*d^2 - a^3*b^3*d^3)*e^3 - 3*(a*b^5*c^3 - 3*a^2*b^4*c^2*d + 3*a^3*b^3*c*d^2 - a^4*b^2*d^3)*e^2*f + 3*(a^2*b^4*c^3 - 3*a^3*b^3*c^2*d + 3*a^4*b^2*c*d^2 - a^5*b*d^3)*e*f^2 - (a^3*b^3*c^3 - 3*a^4*b^2*c^2*d + 3*a^5*b*c*d^2 - a^6*d^3)*f^3) + 2*(b*d^4*e - (2*b*c*d^3 - a*d^4)*f)*log(d*x + c)/((b^3*c^3*d^3 - 3*a*b^2*c^2*d^4 + 3*a^2*b*c*d^5 - a^3*d^6)*e^3 - 3*(b^3*c^4*d^2 - 3*a*b^2*c^3*d^3 + 3*a^2*b*c^2*d^4 - a^3*c*d^5)*e^2*f + 3*(b^3*c^5*d - 3*a*b^2*c^4*d^2 + 3*a^2*b*c^3*d^3 - a^3*c^2*d^4)*e*f^2 - (b^3*c^6 - 3*a*b^2*c^5*d + 3*a^2*b*c^4*d^2 - a^3*c^3*d^3)*f^3) + 2*(2*b*d*e*f^3 - (b*c + a*d)*f^4)*log(f*x + e)/(b^3*d^3*e^6 + a^3*c^3*f^6 - 3*(b^3*c*d^2 + a*b^2*d^3)*e^5*f + 3*(b^3*c^2*d + 3*a*b^2*c*d^2 + a^2*b*d^3)*e^4*f^2 - (b^3*c^3 + 9*a*b^2*c^2*d + 9*a^2*b*c*d^2 + a^3*d^3)*e^3*f^3 + 3*(a*b^2*c^3 + 3*a^2*b*c^2*d + a^3*c*d^2)*e^2*f^4 - 3*(a^2*b*c^3 + a^3*c^2*d)*e*f^5) - ((b^3*c*d^2 + a*b^2*d^3)*e^3 - 2*(b^3*c^2*d + a^2*b*d^3)*e^2*f + (b^3*c^3 + a^3*d^3)*e*f^2 + (a*b^2*c^3 - 2*a^2*b*c^2*d + a^3*c*d^2)*f^3 + 2*(b^3*d^3*e^2*f - (b^3*c*d^2 + a*b^2*d^3)*e*f^2 + (b^3*c^2*d - a*b^2*c*d^2 + a^2*b*d^3)*f^3)*x^2 + (2*b^3*d^3*e^3 - (b^3*c*d^2 + a*b^2*d^3)*e^2*f - (b^3*c^2*d + a^2*b*d^3)*e*f^2 + (2*b^3*c^3 - a*b^2*c^2*d - a^2*b*c*d^2 + 2*a^3*d^3)*f^3)*x)/((a*b^4*c^3*d^2 - 2*a^2*b^3*c^2*d^3 + a^3*b^2*c*d^4)*e^5 - 2*(a*b^4*c^4*d - a^2*b^3*c^3*d^2 - a^3*b^2*c^2*d^3 + a^4*b*c*d^4)*e^4*f + (a*b^4*c^5 + 2*a^2*b^3*c^4*d - 6*a^3*b^2*c^3*d^2 + 2*a^4*b*c^2*d^3 + a^5*c*d^4)*e^3*f^2 - 2*(a^2*b^3*c^5 - a^3*b^2*c^4*d - a^4*b*c^3*d^2 + a^5*c^2*d^3)*e^2*f^3 + (a^3*b^2*c^5 - 2*a^4*b*c^4*d + a^5*c^3*d^2)*e*f^4 + ((b^5*c^2*d^3 - 2*a*b^4*c*d^4 + a^2*b^3*d^5)*e^4*f - 2*(b^5*c^3*d^2 - a*b^4*c^2*d^3 - a^2*b^3*c*d^4 + a^3*b^2*d^5)*e^3*f^2 + (b^5*c^4*d + 2*a*b^4*c^3*d^2 - 6*a^2*b^3*c^2*d^3 + 2*a^3*b^2*c*d^4 + a^4*b*d^5)*e^2*f^3 - 2*(a*b^4*c^4*d - a^2*b^3*c^3*d^2 - a^3*b^2*c^2*d^3 + a^4*b*c*d^4)*e*f^4 + (a^2*b^3*c^4*d - 2*a^3*b^2*c^3*d^2 + a^4*b*c^2*d^3)*f^5)*x^3 + ((b^5*c^2*d^3 - 2*a*b^4*c*d^4 + a^2*b^3*d^5)*e^5 - (b^5*c^3*d^2 - a*b^4*c^2*d^3 - a^2*b^3*c*d^4 + a^3*b^2*d^5)*e^4*f - (b^5*c^4*d - 2*a*b^4*c^3*d^2 + 2*a^2*b^3*c^2*d^3 - 2*a^3*b^2*c*d^4 + a^4*b*d^5)*e^3*f^2 + (b^5*c^5 + a*b^4*c^4*d - 2*a^2*b^3*c^3*d^2 - 2*a^3*b^2*c^2*d^3 + a^4*b*c*d^4 + a^5*d^5)*e^2*f^3 - (2*a*b^4*c^5 - a^2*b^3*c^4*d - 2*a^3*b^2*c^3*d^2 - a^4*b*c^2*d^3 + 2*a^5*c*d^4)*e*f^4 + (a^2*b^3*c^5 - a^3*b^2*c^4*d - a^4*b*c^3*d^2 + a^5*c^2*d^3)*f^5)*x^2 + ((b^5*c^3*d^2 - a*b^4*c^2*d^3 - a^2*b^3*c*d^4 + a^3*b^2*d^5)*e^5 - (2*b^5*c^4*d - a*b^4*c^3*d^2 - 2*a^2*b^3*c^2*d^3 - a^3*b^2*c*d^4 + 2*a^4*b*d^5)*e^4*f + (b^5*c^5 + a*b^4*c^4*d - 2*a^2*b^3*c^3*d^2 - 2*a^3*b^2*c^2*d^3 + a^4*b*c*d^4 + a^5*d^5)*e^3*f^2 - (a*b^4*c^5 - 2*a^2*b^3*c^4*d + 2*a^3*b^2*c^3*d^2 - 2*a^4*b*c^2*d^3 + a^5*c*d^4)*e^2*f^3 - (a^2*b^3*c^5 - a^3*b^2*c^4*d - a^4*b*c^3*d^2 + a^5*c^2*d^3)*e*f^4 + (a^3*b^2*c^5 - 2*a^4*b*c^4*d + a^5*c^3*d^2)*f^5)*x)","B",0
20,1,11005,0,5.723209," ","integrate(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, algorithm=""maxima"")","\frac{3 \, {\left(2 \, b^{7} d^{2} e^{2} + {\left(3 \, b^{7} c d - 7 \, a b^{6} d^{2}\right)} e f + {\left(2 \, b^{7} c^{2} - 7 \, a b^{6} c d + 7 \, a^{2} b^{5} d^{2}\right)} f^{2}\right)} \log\left(b x + a\right)}{{\left(b^{10} c^{5} - 5 \, a b^{9} c^{4} d + 10 \, a^{2} b^{8} c^{3} d^{2} - 10 \, a^{3} b^{7} c^{2} d^{3} + 5 \, a^{4} b^{6} c d^{4} - a^{5} b^{5} d^{5}\right)} e^{5} - 5 \, {\left(a b^{9} c^{5} - 5 \, a^{2} b^{8} c^{4} d + 10 \, a^{3} b^{7} c^{3} d^{2} - 10 \, a^{4} b^{6} c^{2} d^{3} + 5 \, a^{5} b^{5} c d^{4} - a^{6} b^{4} d^{5}\right)} e^{4} f + 10 \, {\left(a^{2} b^{8} c^{5} - 5 \, a^{3} b^{7} c^{4} d + 10 \, a^{4} b^{6} c^{3} d^{2} - 10 \, a^{5} b^{5} c^{2} d^{3} + 5 \, a^{6} b^{4} c d^{4} - a^{7} b^{3} d^{5}\right)} e^{3} f^{2} - 10 \, {\left(a^{3} b^{7} c^{5} - 5 \, a^{4} b^{6} c^{4} d + 10 \, a^{5} b^{5} c^{3} d^{2} - 10 \, a^{6} b^{4} c^{2} d^{3} + 5 \, a^{7} b^{3} c d^{4} - a^{8} b^{2} d^{5}\right)} e^{2} f^{3} + 5 \, {\left(a^{4} b^{6} c^{5} - 5 \, a^{5} b^{5} c^{4} d + 10 \, a^{6} b^{4} c^{3} d^{2} - 10 \, a^{7} b^{3} c^{2} d^{3} + 5 \, a^{8} b^{2} c d^{4} - a^{9} b d^{5}\right)} e f^{4} - {\left(a^{5} b^{5} c^{5} - 5 \, a^{6} b^{4} c^{4} d + 10 \, a^{7} b^{3} c^{3} d^{2} - 10 \, a^{8} b^{2} c^{2} d^{3} + 5 \, a^{9} b c d^{4} - a^{10} d^{5}\right)} f^{5}} - \frac{3 \, {\left(2 \, b^{2} d^{7} e^{2} - {\left(7 \, b^{2} c d^{6} - 3 \, a b d^{7}\right)} e f + {\left(7 \, b^{2} c^{2} d^{5} - 7 \, a b c d^{6} + 2 \, a^{2} d^{7}\right)} f^{2}\right)} \log\left(d x + c\right)}{{\left(b^{5} c^{5} d^{5} - 5 \, a b^{4} c^{4} d^{6} + 10 \, a^{2} b^{3} c^{3} d^{7} - 10 \, a^{3} b^{2} c^{2} d^{8} + 5 \, a^{4} b c d^{9} - a^{5} d^{10}\right)} e^{5} - 5 \, {\left(b^{5} c^{6} d^{4} - 5 \, a b^{4} c^{5} d^{5} + 10 \, a^{2} b^{3} c^{4} d^{6} - 10 \, a^{3} b^{2} c^{3} d^{7} + 5 \, a^{4} b c^{2} d^{8} - a^{5} c d^{9}\right)} e^{4} f + 10 \, {\left(b^{5} c^{7} d^{3} - 5 \, a b^{4} c^{6} d^{4} + 10 \, a^{2} b^{3} c^{5} d^{5} - 10 \, a^{3} b^{2} c^{4} d^{6} + 5 \, a^{4} b c^{3} d^{7} - a^{5} c^{2} d^{8}\right)} e^{3} f^{2} - 10 \, {\left(b^{5} c^{8} d^{2} - 5 \, a b^{4} c^{7} d^{3} + 10 \, a^{2} b^{3} c^{6} d^{4} - 10 \, a^{3} b^{2} c^{5} d^{5} + 5 \, a^{4} b c^{4} d^{6} - a^{5} c^{3} d^{7}\right)} e^{2} f^{3} + 5 \, {\left(b^{5} c^{9} d - 5 \, a b^{4} c^{8} d^{2} + 10 \, a^{2} b^{3} c^{7} d^{3} - 10 \, a^{3} b^{2} c^{6} d^{4} + 5 \, a^{4} b c^{5} d^{5} - a^{5} c^{4} d^{6}\right)} e f^{4} - {\left(b^{5} c^{10} - 5 \, a b^{4} c^{9} d + 10 \, a^{2} b^{3} c^{8} d^{2} - 10 \, a^{3} b^{2} c^{7} d^{3} + 5 \, a^{4} b c^{6} d^{4} - a^{5} c^{5} d^{5}\right)} f^{5}} + \frac{3 \, {\left(7 \, b^{2} d^{2} e^{2} f^{5} - 7 \, {\left(b^{2} c d + a b d^{2}\right)} e f^{6} + {\left(2 \, b^{2} c^{2} + 3 \, a b c d + 2 \, a^{2} d^{2}\right)} f^{7}\right)} \log\left(f x + e\right)}{b^{5} d^{5} e^{10} + a^{5} c^{5} f^{10} - 5 \, {\left(b^{5} c d^{4} + a b^{4} d^{5}\right)} e^{9} f + 5 \, {\left(2 \, b^{5} c^{2} d^{3} + 5 \, a b^{4} c d^{4} + 2 \, a^{2} b^{3} d^{5}\right)} e^{8} f^{2} - 10 \, {\left(b^{5} c^{3} d^{2} + 5 \, a b^{4} c^{2} d^{3} + 5 \, a^{2} b^{3} c d^{4} + a^{3} b^{2} d^{5}\right)} e^{7} f^{3} + 5 \, {\left(b^{5} c^{4} d + 10 \, a b^{4} c^{3} d^{2} + 20 \, a^{2} b^{3} c^{2} d^{3} + 10 \, a^{3} b^{2} c d^{4} + a^{4} b d^{5}\right)} e^{6} f^{4} - {\left(b^{5} c^{5} + 25 \, a b^{4} c^{4} d + 100 \, a^{2} b^{3} c^{3} d^{2} + 100 \, a^{3} b^{2} c^{2} d^{3} + 25 \, a^{4} b c d^{4} + a^{5} d^{5}\right)} e^{5} f^{5} + 5 \, {\left(a b^{4} c^{5} + 10 \, a^{2} b^{3} c^{4} d + 20 \, a^{3} b^{2} c^{3} d^{2} + 10 \, a^{4} b c^{2} d^{3} + a^{5} c d^{4}\right)} e^{4} f^{6} - 10 \, {\left(a^{2} b^{3} c^{5} + 5 \, a^{3} b^{2} c^{4} d + 5 \, a^{4} b c^{3} d^{2} + a^{5} c^{2} d^{3}\right)} e^{3} f^{7} + 5 \, {\left(2 \, a^{3} b^{2} c^{5} + 5 \, a^{4} b c^{4} d + 2 \, a^{5} c^{3} d^{2}\right)} e^{2} f^{8} - 5 \, {\left(a^{4} b c^{5} + a^{5} c^{4} d\right)} e f^{9}} - \frac{{\left(b^{7} c^{3} d^{4} - 7 \, a b^{6} c^{2} d^{5} - 7 \, a^{2} b^{5} c d^{6} + a^{3} b^{4} d^{7}\right)} e^{7} - {\left(4 \, b^{7} c^{4} d^{3} - 21 \, a b^{6} c^{3} d^{4} - 26 \, a^{2} b^{5} c^{2} d^{5} - 21 \, a^{3} b^{4} c d^{6} + 4 \, a^{4} b^{3} d^{7}\right)} e^{6} f + 2 \, {\left(3 \, b^{7} c^{5} d^{2} - 7 \, a b^{6} c^{4} d^{3} - 26 \, a^{2} b^{5} c^{3} d^{4} - 26 \, a^{3} b^{4} c^{2} d^{5} - 7 \, a^{4} b^{3} c d^{6} + 3 \, a^{5} b^{2} d^{7}\right)} e^{5} f^{2} - 2 \, {\left(2 \, b^{7} c^{6} d + 7 \, a b^{6} c^{5} d^{2} - 39 \, a^{2} b^{5} c^{4} d^{3} - 39 \, a^{4} b^{3} c^{2} d^{5} + 7 \, a^{5} b^{2} c d^{6} + 2 \, a^{6} b d^{7}\right)} e^{4} f^{3} + {\left(b^{7} c^{7} + 21 \, a b^{6} c^{6} d - 52 \, a^{2} b^{5} c^{5} d^{2} - 52 \, a^{5} b^{2} c^{2} d^{5} + 21 \, a^{6} b c d^{6} + a^{7} d^{7}\right)} e^{3} f^{4} - {\left(7 \, a b^{6} c^{7} - 26 \, a^{2} b^{5} c^{6} d + 52 \, a^{3} b^{4} c^{5} d^{2} - 78 \, a^{4} b^{3} c^{4} d^{3} + 52 \, a^{5} b^{2} c^{3} d^{4} - 26 \, a^{6} b c^{2} d^{5} + 7 \, a^{7} c d^{6}\right)} e^{2} f^{5} - 7 \, {\left(a^{2} b^{5} c^{7} - 3 \, a^{3} b^{4} c^{6} d + 2 \, a^{4} b^{3} c^{5} d^{2} + 2 \, a^{5} b^{2} c^{4} d^{3} - 3 \, a^{6} b c^{3} d^{4} + a^{7} c^{2} d^{5}\right)} e f^{6} + {\left(a^{3} b^{4} c^{7} - 4 \, a^{4} b^{3} c^{6} d + 6 \, a^{5} b^{2} c^{5} d^{2} - 4 \, a^{6} b c^{4} d^{3} + a^{7} c^{3} d^{4}\right)} f^{7} - 6 \, {\left(2 \, b^{7} d^{7} e^{5} f^{2} - 5 \, {\left(b^{7} c d^{6} + a b^{6} d^{7}\right)} e^{4} f^{3} + 2 \, {\left(b^{7} c^{2} d^{5} + 8 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} e^{3} f^{4} + 2 \, {\left(b^{7} c^{3} d^{4} - 6 \, a b^{6} c^{2} d^{5} - 6 \, a^{2} b^{5} c d^{6} + a^{3} b^{4} d^{7}\right)} e^{2} f^{5} - {\left(5 \, b^{7} c^{4} d^{3} - 16 \, a b^{6} c^{3} d^{4} + 12 \, a^{2} b^{5} c^{2} d^{5} - 16 \, a^{3} b^{4} c d^{6} + 5 \, a^{4} b^{3} d^{7}\right)} e f^{6} + {\left(2 \, b^{7} c^{5} d^{2} - 5 \, a b^{6} c^{4} d^{3} + 2 \, a^{2} b^{5} c^{3} d^{4} + 2 \, a^{3} b^{4} c^{2} d^{5} - 5 \, a^{4} b^{3} c d^{6} + 2 \, a^{5} b^{2} d^{7}\right)} f^{7}\right)} x^{5} - 3 \, {\left(8 \, b^{7} d^{7} e^{6} f - 14 \, {\left(b^{7} c d^{6} + a b^{6} d^{7}\right)} e^{5} f^{2} - {\left(7 \, b^{7} c^{2} d^{5} - 34 \, a b^{6} c d^{6} + 7 \, a^{2} b^{5} d^{7}\right)} e^{4} f^{3} + 2 \, {\left(7 \, b^{7} c^{3} d^{4} + 3 \, a b^{6} c^{2} d^{5} + 3 \, a^{2} b^{5} c d^{6} + 7 \, a^{3} b^{4} d^{7}\right)} e^{3} f^{4} - {\left(7 \, b^{7} c^{4} d^{3} - 6 \, a b^{6} c^{3} d^{4} + 78 \, a^{2} b^{5} c^{2} d^{5} - 6 \, a^{3} b^{4} c d^{6} + 7 \, a^{4} b^{3} d^{7}\right)} e^{2} f^{5} - 2 \, {\left(7 \, b^{7} c^{5} d^{2} - 17 \, a b^{6} c^{4} d^{3} - 3 \, a^{2} b^{5} c^{3} d^{4} - 3 \, a^{3} b^{4} c^{2} d^{5} - 17 \, a^{4} b^{3} c d^{6} + 7 \, a^{5} b^{2} d^{7}\right)} e f^{6} + {\left(8 \, b^{7} c^{6} d - 14 \, a b^{6} c^{5} d^{2} - 7 \, a^{2} b^{5} c^{4} d^{3} + 14 \, a^{3} b^{4} c^{3} d^{4} - 7 \, a^{4} b^{3} c^{2} d^{5} - 14 \, a^{5} b^{2} c d^{6} + 8 \, a^{6} b d^{7}\right)} f^{7}\right)} x^{4} - 2 \, {\left(6 \, b^{7} d^{7} e^{7} + 3 \, {\left(b^{7} c d^{6} + a b^{6} d^{7}\right)} e^{6} f - {\left(37 \, b^{7} c^{2} d^{5} + 28 \, a b^{6} c d^{6} + 37 \, a^{2} b^{5} d^{7}\right)} e^{5} f^{2} + {\left(19 \, b^{7} c^{3} d^{4} + 86 \, a b^{6} c^{2} d^{5} + 86 \, a^{2} b^{5} c d^{6} + 19 \, a^{3} b^{4} d^{7}\right)} e^{4} f^{3} + {\left(19 \, b^{7} c^{4} d^{3} - 68 \, a b^{6} c^{3} d^{4} - 52 \, a^{2} b^{5} c^{2} d^{5} - 68 \, a^{3} b^{4} c d^{6} + 19 \, a^{4} b^{3} d^{7}\right)} e^{3} f^{4} - {\left(37 \, b^{7} c^{5} d^{2} - 86 \, a b^{6} c^{4} d^{3} + 52 \, a^{2} b^{5} c^{3} d^{4} + 52 \, a^{3} b^{4} c^{2} d^{5} - 86 \, a^{4} b^{3} c d^{6} + 37 \, a^{5} b^{2} d^{7}\right)} e^{2} f^{5} + {\left(3 \, b^{7} c^{6} d - 28 \, a b^{6} c^{5} d^{2} + 86 \, a^{2} b^{5} c^{4} d^{3} - 68 \, a^{3} b^{4} c^{3} d^{4} + 86 \, a^{4} b^{3} c^{2} d^{5} - 28 \, a^{5} b^{2} c d^{6} + 3 \, a^{6} b d^{7}\right)} e f^{6} + {\left(6 \, b^{7} c^{7} + 3 \, a b^{6} c^{6} d - 37 \, a^{2} b^{5} c^{5} d^{2} + 19 \, a^{3} b^{4} c^{4} d^{3} + 19 \, a^{4} b^{3} c^{3} d^{4} - 37 \, a^{5} b^{2} c^{2} d^{5} + 3 \, a^{6} b c d^{6} + 6 \, a^{7} d^{7}\right)} f^{7}\right)} x^{3} - {\left(18 \, {\left(b^{7} c d^{6} + a b^{6} d^{7}\right)} e^{7} - {\left(37 \, b^{7} c^{2} d^{5} + 34 \, a b^{6} c d^{6} + 37 \, a^{2} b^{5} d^{7}\right)} e^{6} f - 3 \, {\left(b^{7} c^{3} d^{4} - 3 \, a b^{6} c^{2} d^{5} - 3 \, a^{2} b^{5} c d^{6} + a^{3} b^{4} d^{7}\right)} e^{5} f^{2} + {\left(32 \, b^{7} c^{4} d^{3} + a b^{6} c^{3} d^{4} + 234 \, a^{2} b^{5} c^{2} d^{5} + a^{3} b^{4} c d^{6} + 32 \, a^{4} b^{3} d^{7}\right)} e^{4} f^{3} - {\left(3 \, b^{7} c^{5} d^{2} - a b^{6} c^{4} d^{3} + 208 \, a^{2} b^{5} c^{3} d^{4} + 208 \, a^{3} b^{4} c^{2} d^{5} - a^{4} b^{3} c d^{6} + 3 \, a^{5} b^{2} d^{7}\right)} e^{3} f^{4} - {\left(37 \, b^{7} c^{6} d - 9 \, a b^{6} c^{5} d^{2} - 234 \, a^{2} b^{5} c^{4} d^{3} + 208 \, a^{3} b^{4} c^{3} d^{4} - 234 \, a^{4} b^{3} c^{2} d^{5} - 9 \, a^{5} b^{2} c d^{6} + 37 \, a^{6} b d^{7}\right)} e^{2} f^{5} + {\left(18 \, b^{7} c^{7} - 34 \, a b^{6} c^{6} d + 9 \, a^{2} b^{5} c^{5} d^{2} + a^{3} b^{4} c^{4} d^{3} + a^{4} b^{3} c^{3} d^{4} + 9 \, a^{5} b^{2} c^{2} d^{5} - 34 \, a^{6} b c d^{6} + 18 \, a^{7} d^{7}\right)} e f^{6} + {\left(18 \, a b^{6} c^{7} - 37 \, a^{2} b^{5} c^{6} d - 3 \, a^{3} b^{4} c^{5} d^{2} + 32 \, a^{4} b^{3} c^{4} d^{3} - 3 \, a^{5} b^{2} c^{3} d^{4} - 37 \, a^{6} b c^{2} d^{5} + 18 \, a^{7} c d^{6}\right)} f^{7}\right)} x^{2} - 2 \, {\left(2 \, {\left(b^{7} c^{2} d^{5} + 7 \, a b^{6} c d^{6} + a^{2} b^{5} d^{7}\right)} e^{7} - 3 \, {\left(2 \, b^{7} c^{3} d^{4} + 11 \, a b^{6} c^{2} d^{5} + 11 \, a^{2} b^{5} c d^{6} + 2 \, a^{3} b^{4} d^{7}\right)} e^{6} f + {\left(4 \, b^{7} c^{4} d^{3} + 17 \, a b^{6} c^{3} d^{4} + 78 \, a^{2} b^{5} c^{2} d^{5} + 17 \, a^{3} b^{4} c d^{6} + 4 \, a^{4} b^{3} d^{7}\right)} e^{5} f^{2} + 2 \, {\left(2 \, b^{7} c^{5} d^{2} - 4 \, a b^{6} c^{4} d^{3} - 13 \, a^{2} b^{5} c^{3} d^{4} - 13 \, a^{3} b^{4} c^{2} d^{5} - 4 \, a^{4} b^{3} c d^{6} + 2 \, a^{5} b^{2} d^{7}\right)} e^{4} f^{3} - {\left(6 \, b^{7} c^{6} d - 17 \, a b^{6} c^{5} d^{2} + 26 \, a^{2} b^{5} c^{4} d^{3} + 26 \, a^{4} b^{3} c^{2} d^{5} - 17 \, a^{5} b^{2} c d^{6} + 6 \, a^{6} b d^{7}\right)} e^{3} f^{4} + {\left(2 \, b^{7} c^{7} - 33 \, a b^{6} c^{6} d + 78 \, a^{2} b^{5} c^{5} d^{2} - 26 \, a^{3} b^{4} c^{4} d^{3} - 26 \, a^{4} b^{3} c^{3} d^{4} + 78 \, a^{5} b^{2} c^{2} d^{5} - 33 \, a^{6} b c d^{6} + 2 \, a^{7} d^{7}\right)} e^{2} f^{5} + {\left(14 \, a b^{6} c^{7} - 33 \, a^{2} b^{5} c^{6} d + 17 \, a^{3} b^{4} c^{5} d^{2} - 8 \, a^{4} b^{3} c^{4} d^{3} + 17 \, a^{5} b^{2} c^{3} d^{4} - 33 \, a^{6} b c^{2} d^{5} + 14 \, a^{7} c d^{6}\right)} e f^{6} + 2 \, {\left(a^{2} b^{5} c^{7} - 3 \, a^{3} b^{4} c^{6} d + 2 \, a^{4} b^{3} c^{5} d^{2} + 2 \, a^{5} b^{2} c^{4} d^{3} - 3 \, a^{6} b c^{3} d^{4} + a^{7} c^{2} d^{5}\right)} f^{7}\right)} x}{2 \, {\left({\left(a^{2} b^{8} c^{6} d^{4} - 4 \, a^{3} b^{7} c^{5} d^{5} + 6 \, a^{4} b^{6} c^{4} d^{6} - 4 \, a^{5} b^{5} c^{3} d^{7} + a^{6} b^{4} c^{2} d^{8}\right)} e^{10} - 4 \, {\left(a^{2} b^{8} c^{7} d^{3} - 3 \, a^{3} b^{7} c^{6} d^{4} + 2 \, a^{4} b^{6} c^{5} d^{5} + 2 \, a^{5} b^{5} c^{4} d^{6} - 3 \, a^{6} b^{4} c^{3} d^{7} + a^{7} b^{3} c^{2} d^{8}\right)} e^{9} f + 2 \, {\left(3 \, a^{2} b^{8} c^{8} d^{2} - 4 \, a^{3} b^{7} c^{7} d^{3} - 11 \, a^{4} b^{6} c^{6} d^{4} + 24 \, a^{5} b^{5} c^{5} d^{5} - 11 \, a^{6} b^{4} c^{4} d^{6} - 4 \, a^{7} b^{3} c^{3} d^{7} + 3 \, a^{8} b^{2} c^{2} d^{8}\right)} e^{8} f^{2} - 4 \, {\left(a^{2} b^{8} c^{9} d + 2 \, a^{3} b^{7} c^{8} d^{2} - 12 \, a^{4} b^{6} c^{7} d^{3} + 9 \, a^{5} b^{5} c^{6} d^{4} + 9 \, a^{6} b^{4} c^{5} d^{5} - 12 \, a^{7} b^{3} c^{4} d^{6} + 2 \, a^{8} b^{2} c^{3} d^{7} + a^{9} b c^{2} d^{8}\right)} e^{7} f^{3} + {\left(a^{2} b^{8} c^{10} + 12 \, a^{3} b^{7} c^{9} d - 22 \, a^{4} b^{6} c^{8} d^{2} - 36 \, a^{5} b^{5} c^{7} d^{3} + 90 \, a^{6} b^{4} c^{6} d^{4} - 36 \, a^{7} b^{3} c^{5} d^{5} - 22 \, a^{8} b^{2} c^{4} d^{6} + 12 \, a^{9} b c^{3} d^{7} + a^{10} c^{2} d^{8}\right)} e^{6} f^{4} - 4 \, {\left(a^{3} b^{7} c^{10} + 2 \, a^{4} b^{6} c^{9} d - 12 \, a^{5} b^{5} c^{8} d^{2} + 9 \, a^{6} b^{4} c^{7} d^{3} + 9 \, a^{7} b^{3} c^{6} d^{4} - 12 \, a^{8} b^{2} c^{5} d^{5} + 2 \, a^{9} b c^{4} d^{6} + a^{10} c^{3} d^{7}\right)} e^{5} f^{5} + 2 \, {\left(3 \, a^{4} b^{6} c^{10} - 4 \, a^{5} b^{5} c^{9} d - 11 \, a^{6} b^{4} c^{8} d^{2} + 24 \, a^{7} b^{3} c^{7} d^{3} - 11 \, a^{8} b^{2} c^{6} d^{4} - 4 \, a^{9} b c^{5} d^{5} + 3 \, a^{10} c^{4} d^{6}\right)} e^{4} f^{6} - 4 \, {\left(a^{5} b^{5} c^{10} - 3 \, a^{6} b^{4} c^{9} d + 2 \, a^{7} b^{3} c^{8} d^{2} + 2 \, a^{8} b^{2} c^{7} d^{3} - 3 \, a^{9} b c^{6} d^{4} + a^{10} c^{5} d^{5}\right)} e^{3} f^{7} + {\left(a^{6} b^{4} c^{10} - 4 \, a^{7} b^{3} c^{9} d + 6 \, a^{8} b^{2} c^{8} d^{2} - 4 \, a^{9} b c^{7} d^{3} + a^{10} c^{6} d^{4}\right)} e^{2} f^{8} + {\left({\left(b^{10} c^{4} d^{6} - 4 \, a b^{9} c^{3} d^{7} + 6 \, a^{2} b^{8} c^{2} d^{8} - 4 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} e^{8} f^{2} - 4 \, {\left(b^{10} c^{5} d^{5} - 3 \, a b^{9} c^{4} d^{6} + 2 \, a^{2} b^{8} c^{3} d^{7} + 2 \, a^{3} b^{7} c^{2} d^{8} - 3 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} e^{7} f^{3} + 2 \, {\left(3 \, b^{10} c^{6} d^{4} - 4 \, a b^{9} c^{5} d^{5} - 11 \, a^{2} b^{8} c^{4} d^{6} + 24 \, a^{3} b^{7} c^{3} d^{7} - 11 \, a^{4} b^{6} c^{2} d^{8} - 4 \, a^{5} b^{5} c d^{9} + 3 \, a^{6} b^{4} d^{10}\right)} e^{6} f^{4} - 4 \, {\left(b^{10} c^{7} d^{3} + 2 \, a b^{9} c^{6} d^{4} - 12 \, a^{2} b^{8} c^{5} d^{5} + 9 \, a^{3} b^{7} c^{4} d^{6} + 9 \, a^{4} b^{6} c^{3} d^{7} - 12 \, a^{5} b^{5} c^{2} d^{8} + 2 \, a^{6} b^{4} c d^{9} + a^{7} b^{3} d^{10}\right)} e^{5} f^{5} + {\left(b^{10} c^{8} d^{2} + 12 \, a b^{9} c^{7} d^{3} - 22 \, a^{2} b^{8} c^{6} d^{4} - 36 \, a^{3} b^{7} c^{5} d^{5} + 90 \, a^{4} b^{6} c^{4} d^{6} - 36 \, a^{5} b^{5} c^{3} d^{7} - 22 \, a^{6} b^{4} c^{2} d^{8} + 12 \, a^{7} b^{3} c d^{9} + a^{8} b^{2} d^{10}\right)} e^{4} f^{6} - 4 \, {\left(a b^{9} c^{8} d^{2} + 2 \, a^{2} b^{8} c^{7} d^{3} - 12 \, a^{3} b^{7} c^{6} d^{4} + 9 \, a^{4} b^{6} c^{5} d^{5} + 9 \, a^{5} b^{5} c^{4} d^{6} - 12 \, a^{6} b^{4} c^{3} d^{7} + 2 \, a^{7} b^{3} c^{2} d^{8} + a^{8} b^{2} c d^{9}\right)} e^{3} f^{7} + 2 \, {\left(3 \, a^{2} b^{8} c^{8} d^{2} - 4 \, a^{3} b^{7} c^{7} d^{3} - 11 \, a^{4} b^{6} c^{6} d^{4} + 24 \, a^{5} b^{5} c^{5} d^{5} - 11 \, a^{6} b^{4} c^{4} d^{6} - 4 \, a^{7} b^{3} c^{3} d^{7} + 3 \, a^{8} b^{2} c^{2} d^{8}\right)} e^{2} f^{8} - 4 \, {\left(a^{3} b^{7} c^{8} d^{2} - 3 \, a^{4} b^{6} c^{7} d^{3} + 2 \, a^{5} b^{5} c^{6} d^{4} + 2 \, a^{6} b^{4} c^{5} d^{5} - 3 \, a^{7} b^{3} c^{4} d^{6} + a^{8} b^{2} c^{3} d^{7}\right)} e f^{9} + {\left(a^{4} b^{6} c^{8} d^{2} - 4 \, a^{5} b^{5} c^{7} d^{3} + 6 \, a^{6} b^{4} c^{6} d^{4} - 4 \, a^{7} b^{3} c^{5} d^{5} + a^{8} b^{2} c^{4} d^{6}\right)} f^{10}\right)} x^{6} + 2 \, {\left({\left(b^{10} c^{4} d^{6} - 4 \, a b^{9} c^{3} d^{7} + 6 \, a^{2} b^{8} c^{2} d^{8} - 4 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} e^{9} f - 3 \, {\left(b^{10} c^{5} d^{5} - 3 \, a b^{9} c^{4} d^{6} + 2 \, a^{2} b^{8} c^{3} d^{7} + 2 \, a^{3} b^{7} c^{2} d^{8} - 3 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} e^{8} f^{2} + 2 \, {\left(b^{10} c^{6} d^{4} - 9 \, a^{2} b^{8} c^{4} d^{6} + 16 \, a^{3} b^{7} c^{3} d^{7} - 9 \, a^{4} b^{6} c^{2} d^{8} + a^{6} b^{4} d^{10}\right)} e^{7} f^{3} + 2 \, {\left(b^{10} c^{7} d^{3} - 5 \, a b^{9} c^{6} d^{4} + 9 \, a^{2} b^{8} c^{5} d^{5} - 5 \, a^{3} b^{7} c^{4} d^{6} - 5 \, a^{4} b^{6} c^{3} d^{7} + 9 \, a^{5} b^{5} c^{2} d^{8} - 5 \, a^{6} b^{4} c d^{9} + a^{7} b^{3} d^{10}\right)} e^{6} f^{4} - 3 \, {\left(b^{10} c^{8} d^{2} - 6 \, a^{2} b^{8} c^{6} d^{4} + 8 \, a^{3} b^{7} c^{5} d^{5} - 6 \, a^{4} b^{6} c^{4} d^{6} + 8 \, a^{5} b^{5} c^{3} d^{7} - 6 \, a^{6} b^{4} c^{2} d^{8} + a^{8} b^{2} d^{10}\right)} e^{5} f^{5} + {\left(b^{10} c^{9} d + 9 \, a b^{9} c^{8} d^{2} - 18 \, a^{2} b^{8} c^{7} d^{3} - 10 \, a^{3} b^{7} c^{6} d^{4} + 18 \, a^{4} b^{6} c^{5} d^{5} + 18 \, a^{5} b^{5} c^{4} d^{6} - 10 \, a^{6} b^{4} c^{3} d^{7} - 18 \, a^{7} b^{3} c^{2} d^{8} + 9 \, a^{8} b^{2} c d^{9} + a^{9} b d^{10}\right)} e^{4} f^{6} - 2 \, {\left(2 \, a b^{9} c^{9} d + 3 \, a^{2} b^{8} c^{8} d^{2} - 16 \, a^{3} b^{7} c^{7} d^{3} + 5 \, a^{4} b^{6} c^{6} d^{4} + 12 \, a^{5} b^{5} c^{5} d^{5} + 5 \, a^{6} b^{4} c^{4} d^{6} - 16 \, a^{7} b^{3} c^{3} d^{7} + 3 \, a^{8} b^{2} c^{2} d^{8} + 2 \, a^{9} b c d^{9}\right)} e^{3} f^{7} + 6 \, {\left(a^{2} b^{8} c^{9} d - a^{3} b^{7} c^{8} d^{2} - 3 \, a^{4} b^{6} c^{7} d^{3} + 3 \, a^{5} b^{5} c^{6} d^{4} + 3 \, a^{6} b^{4} c^{5} d^{5} - 3 \, a^{7} b^{3} c^{4} d^{6} - a^{8} b^{2} c^{3} d^{7} + a^{9} b c^{2} d^{8}\right)} e^{2} f^{8} - {\left(4 \, a^{3} b^{7} c^{9} d - 9 \, a^{4} b^{6} c^{8} d^{2} + 10 \, a^{6} b^{4} c^{6} d^{4} - 9 \, a^{8} b^{2} c^{4} d^{6} + 4 \, a^{9} b c^{3} d^{7}\right)} e f^{9} + {\left(a^{4} b^{6} c^{9} d - 3 \, a^{5} b^{5} c^{8} d^{2} + 2 \, a^{6} b^{4} c^{7} d^{3} + 2 \, a^{7} b^{3} c^{6} d^{4} - 3 \, a^{8} b^{2} c^{5} d^{5} + a^{9} b c^{4} d^{6}\right)} f^{10}\right)} x^{5} + {\left({\left(b^{10} c^{4} d^{6} - 4 \, a b^{9} c^{3} d^{7} + 6 \, a^{2} b^{8} c^{2} d^{8} - 4 \, a^{3} b^{7} c d^{9} + a^{4} b^{6} d^{10}\right)} e^{10} - 3 \, {\left(3 \, b^{10} c^{6} d^{4} - 8 \, a b^{9} c^{5} d^{5} + 5 \, a^{2} b^{8} c^{4} d^{6} + 5 \, a^{4} b^{6} c^{2} d^{8} - 8 \, a^{5} b^{5} c d^{9} + 3 \, a^{6} b^{4} d^{10}\right)} e^{8} f^{2} + 4 \, {\left(4 \, b^{10} c^{7} d^{3} - 5 \, a b^{9} c^{6} d^{4} - 9 \, a^{2} b^{8} c^{5} d^{5} + 10 \, a^{3} b^{7} c^{4} d^{6} + 10 \, a^{4} b^{6} c^{3} d^{7} - 9 \, a^{5} b^{5} c^{2} d^{8} - 5 \, a^{6} b^{4} c d^{9} + 4 \, a^{7} b^{3} d^{10}\right)} e^{7} f^{3} - {\left(9 \, b^{10} c^{8} d^{2} + 20 \, a b^{9} c^{7} d^{3} - 90 \, a^{2} b^{8} c^{6} d^{4} + 36 \, a^{3} b^{7} c^{5} d^{5} + 50 \, a^{4} b^{6} c^{4} d^{6} + 36 \, a^{5} b^{5} c^{3} d^{7} - 90 \, a^{6} b^{4} c^{2} d^{8} + 20 \, a^{7} b^{3} c d^{9} + 9 \, a^{8} b^{2} d^{10}\right)} e^{6} f^{4} + 12 \, {\left(2 \, a b^{9} c^{8} d^{2} - 3 \, a^{2} b^{8} c^{7} d^{3} - 3 \, a^{3} b^{7} c^{6} d^{4} + 4 \, a^{4} b^{6} c^{5} d^{5} + 4 \, a^{5} b^{5} c^{4} d^{6} - 3 \, a^{6} b^{4} c^{3} d^{7} - 3 \, a^{7} b^{3} c^{2} d^{8} + 2 \, a^{8} b^{2} c d^{9}\right)} e^{5} f^{5} + {\left(b^{10} c^{10} - 15 \, a^{2} b^{8} c^{8} d^{2} + 40 \, a^{3} b^{7} c^{7} d^{3} - 50 \, a^{4} b^{6} c^{6} d^{4} + 48 \, a^{5} b^{5} c^{5} d^{5} - 50 \, a^{6} b^{4} c^{4} d^{6} + 40 \, a^{7} b^{3} c^{3} d^{7} - 15 \, a^{8} b^{2} c^{2} d^{8} + a^{10} d^{10}\right)} e^{4} f^{6} - 4 \, {\left(a b^{9} c^{10} - 10 \, a^{4} b^{6} c^{7} d^{3} + 9 \, a^{5} b^{5} c^{6} d^{4} + 9 \, a^{6} b^{4} c^{5} d^{5} - 10 \, a^{7} b^{3} c^{4} d^{6} + a^{10} c d^{9}\right)} e^{3} f^{7} + 3 \, {\left(2 \, a^{2} b^{8} c^{10} - 5 \, a^{4} b^{6} c^{8} d^{2} - 12 \, a^{5} b^{5} c^{7} d^{3} + 30 \, a^{6} b^{4} c^{6} d^{4} - 12 \, a^{7} b^{3} c^{5} d^{5} - 5 \, a^{8} b^{2} c^{4} d^{6} + 2 \, a^{10} c^{2} d^{8}\right)} e^{2} f^{8} - 4 \, {\left(a^{3} b^{7} c^{10} - 6 \, a^{5} b^{5} c^{8} d^{2} + 5 \, a^{6} b^{4} c^{7} d^{3} + 5 \, a^{7} b^{3} c^{6} d^{4} - 6 \, a^{8} b^{2} c^{5} d^{5} + a^{10} c^{3} d^{7}\right)} e f^{9} + {\left(a^{4} b^{6} c^{10} - 9 \, a^{6} b^{4} c^{8} d^{2} + 16 \, a^{7} b^{3} c^{7} d^{3} - 9 \, a^{8} b^{2} c^{6} d^{4} + a^{10} c^{4} d^{6}\right)} f^{10}\right)} x^{4} + 2 \, {\left({\left(b^{10} c^{5} d^{5} - 3 \, a b^{9} c^{4} d^{6} + 2 \, a^{2} b^{8} c^{3} d^{7} + 2 \, a^{3} b^{7} c^{2} d^{8} - 3 \, a^{4} b^{6} c d^{9} + a^{5} b^{5} d^{10}\right)} e^{10} - {\left(3 \, b^{10} c^{6} d^{4} - 8 \, a b^{9} c^{5} d^{5} + 5 \, a^{2} b^{8} c^{4} d^{6} + 5 \, a^{4} b^{6} c^{2} d^{8} - 8 \, a^{5} b^{5} c d^{9} + 3 \, a^{6} b^{4} d^{10}\right)} e^{9} f + {\left(2 \, b^{10} c^{7} d^{3} - 5 \, a b^{9} c^{6} d^{4} + 3 \, a^{2} b^{8} c^{5} d^{5} + 3 \, a^{5} b^{5} c^{2} d^{8} - 5 \, a^{6} b^{4} c d^{9} + 2 \, a^{7} b^{3} d^{10}\right)} e^{8} f^{2} + 2 \, {\left(b^{10} c^{8} d^{2} - 16 \, a^{3} b^{7} c^{5} d^{5} + 30 \, a^{4} b^{6} c^{4} d^{6} - 16 \, a^{5} b^{5} c^{3} d^{7} + a^{8} b^{2} d^{10}\right)} e^{7} f^{3} - {\left(3 \, b^{10} c^{9} d + 5 \, a b^{9} c^{8} d^{2} - 60 \, a^{3} b^{7} c^{6} d^{4} + 52 \, a^{4} b^{6} c^{5} d^{5} + 52 \, a^{5} b^{5} c^{4} d^{6} - 60 \, a^{6} b^{4} c^{3} d^{7} + 5 \, a^{8} b^{2} c d^{9} + 3 \, a^{9} b d^{10}\right)} e^{6} f^{4} + {\left(b^{10} c^{10} + 8 \, a b^{9} c^{9} d + 3 \, a^{2} b^{8} c^{8} d^{2} - 32 \, a^{3} b^{7} c^{7} d^{3} - 52 \, a^{4} b^{6} c^{6} d^{4} + 144 \, a^{5} b^{5} c^{5} d^{5} - 52 \, a^{6} b^{4} c^{4} d^{6} - 32 \, a^{7} b^{3} c^{3} d^{7} + 3 \, a^{8} b^{2} c^{2} d^{8} + 8 \, a^{9} b c d^{9} + a^{10} d^{10}\right)} e^{5} f^{5} - {\left(3 \, a b^{9} c^{10} + 5 \, a^{2} b^{8} c^{9} d - 60 \, a^{4} b^{6} c^{7} d^{3} + 52 \, a^{5} b^{5} c^{6} d^{4} + 52 \, a^{6} b^{4} c^{5} d^{5} - 60 \, a^{7} b^{3} c^{4} d^{6} + 5 \, a^{9} b c^{2} d^{8} + 3 \, a^{10} c d^{9}\right)} e^{4} f^{6} + 2 \, {\left(a^{2} b^{8} c^{10} - 16 \, a^{5} b^{5} c^{7} d^{3} + 30 \, a^{6} b^{4} c^{6} d^{4} - 16 \, a^{7} b^{3} c^{5} d^{5} + a^{10} c^{2} d^{8}\right)} e^{3} f^{7} + {\left(2 \, a^{3} b^{7} c^{10} - 5 \, a^{4} b^{6} c^{9} d + 3 \, a^{5} b^{5} c^{8} d^{2} + 3 \, a^{8} b^{2} c^{5} d^{5} - 5 \, a^{9} b c^{4} d^{6} + 2 \, a^{10} c^{3} d^{7}\right)} e^{2} f^{8} - {\left(3 \, a^{4} b^{6} c^{10} - 8 \, a^{5} b^{5} c^{9} d + 5 \, a^{6} b^{4} c^{8} d^{2} + 5 \, a^{8} b^{2} c^{6} d^{4} - 8 \, a^{9} b c^{5} d^{5} + 3 \, a^{10} c^{4} d^{6}\right)} e f^{9} + {\left(a^{5} b^{5} c^{10} - 3 \, a^{6} b^{4} c^{9} d + 2 \, a^{7} b^{3} c^{8} d^{2} + 2 \, a^{8} b^{2} c^{7} d^{3} - 3 \, a^{9} b c^{6} d^{4} + a^{10} c^{5} d^{5}\right)} f^{10}\right)} x^{3} + {\left({\left(b^{10} c^{6} d^{4} - 9 \, a^{2} b^{8} c^{4} d^{6} + 16 \, a^{3} b^{7} c^{3} d^{7} - 9 \, a^{4} b^{6} c^{2} d^{8} + a^{6} b^{4} d^{10}\right)} e^{10} - 4 \, {\left(b^{10} c^{7} d^{3} - 6 \, a^{2} b^{8} c^{5} d^{5} + 5 \, a^{3} b^{7} c^{4} d^{6} + 5 \, a^{4} b^{6} c^{3} d^{7} - 6 \, a^{5} b^{5} c^{2} d^{8} + a^{7} b^{3} d^{10}\right)} e^{9} f + 3 \, {\left(2 \, b^{10} c^{8} d^{2} - 5 \, a^{2} b^{8} c^{6} d^{4} - 12 \, a^{3} b^{7} c^{5} d^{5} + 30 \, a^{4} b^{6} c^{4} d^{6} - 12 \, a^{5} b^{5} c^{3} d^{7} - 5 \, a^{6} b^{4} c^{2} d^{8} + 2 \, a^{8} b^{2} d^{10}\right)} e^{8} f^{2} - 4 \, {\left(b^{10} c^{9} d - 10 \, a^{3} b^{7} c^{6} d^{4} + 9 \, a^{4} b^{6} c^{5} d^{5} + 9 \, a^{5} b^{5} c^{4} d^{6} - 10 \, a^{6} b^{4} c^{3} d^{7} + a^{9} b d^{10}\right)} e^{7} f^{3} + {\left(b^{10} c^{10} - 15 \, a^{2} b^{8} c^{8} d^{2} + 40 \, a^{3} b^{7} c^{7} d^{3} - 50 \, a^{4} b^{6} c^{6} d^{4} + 48 \, a^{5} b^{5} c^{5} d^{5} - 50 \, a^{6} b^{4} c^{4} d^{6} + 40 \, a^{7} b^{3} c^{3} d^{7} - 15 \, a^{8} b^{2} c^{2} d^{8} + a^{10} d^{10}\right)} e^{6} f^{4} + 12 \, {\left(2 \, a^{2} b^{8} c^{9} d - 3 \, a^{3} b^{7} c^{8} d^{2} - 3 \, a^{4} b^{6} c^{7} d^{3} + 4 \, a^{5} b^{5} c^{6} d^{4} + 4 \, a^{6} b^{4} c^{5} d^{5} - 3 \, a^{7} b^{3} c^{4} d^{6} - 3 \, a^{8} b^{2} c^{3} d^{7} + 2 \, a^{9} b c^{2} d^{8}\right)} e^{5} f^{5} - {\left(9 \, a^{2} b^{8} c^{10} + 20 \, a^{3} b^{7} c^{9} d - 90 \, a^{4} b^{6} c^{8} d^{2} + 36 \, a^{5} b^{5} c^{7} d^{3} + 50 \, a^{6} b^{4} c^{6} d^{4} + 36 \, a^{7} b^{3} c^{5} d^{5} - 90 \, a^{8} b^{2} c^{4} d^{6} + 20 \, a^{9} b c^{3} d^{7} + 9 \, a^{10} c^{2} d^{8}\right)} e^{4} f^{6} + 4 \, {\left(4 \, a^{3} b^{7} c^{10} - 5 \, a^{4} b^{6} c^{9} d - 9 \, a^{5} b^{5} c^{8} d^{2} + 10 \, a^{6} b^{4} c^{7} d^{3} + 10 \, a^{7} b^{3} c^{6} d^{4} - 9 \, a^{8} b^{2} c^{5} d^{5} - 5 \, a^{9} b c^{4} d^{6} + 4 \, a^{10} c^{3} d^{7}\right)} e^{3} f^{7} - 3 \, {\left(3 \, a^{4} b^{6} c^{10} - 8 \, a^{5} b^{5} c^{9} d + 5 \, a^{6} b^{4} c^{8} d^{2} + 5 \, a^{8} b^{2} c^{6} d^{4} - 8 \, a^{9} b c^{5} d^{5} + 3 \, a^{10} c^{4} d^{6}\right)} e^{2} f^{8} + {\left(a^{6} b^{4} c^{10} - 4 \, a^{7} b^{3} c^{9} d + 6 \, a^{8} b^{2} c^{8} d^{2} - 4 \, a^{9} b c^{7} d^{3} + a^{10} c^{6} d^{4}\right)} f^{10}\right)} x^{2} + 2 \, {\left({\left(a b^{9} c^{6} d^{4} - 3 \, a^{2} b^{8} c^{5} d^{5} + 2 \, a^{3} b^{7} c^{4} d^{6} + 2 \, a^{4} b^{6} c^{3} d^{7} - 3 \, a^{5} b^{5} c^{2} d^{8} + a^{6} b^{4} c d^{9}\right)} e^{10} - {\left(4 \, a b^{9} c^{7} d^{3} - 9 \, a^{2} b^{8} c^{6} d^{4} + 10 \, a^{4} b^{6} c^{4} d^{6} - 9 \, a^{6} b^{4} c^{2} d^{8} + 4 \, a^{7} b^{3} c d^{9}\right)} e^{9} f + 6 \, {\left(a b^{9} c^{8} d^{2} - a^{2} b^{8} c^{7} d^{3} - 3 \, a^{3} b^{7} c^{6} d^{4} + 3 \, a^{4} b^{6} c^{5} d^{5} + 3 \, a^{5} b^{5} c^{4} d^{6} - 3 \, a^{6} b^{4} c^{3} d^{7} - a^{7} b^{3} c^{2} d^{8} + a^{8} b^{2} c d^{9}\right)} e^{8} f^{2} - 2 \, {\left(2 \, a b^{9} c^{9} d + 3 \, a^{2} b^{8} c^{8} d^{2} - 16 \, a^{3} b^{7} c^{7} d^{3} + 5 \, a^{4} b^{6} c^{6} d^{4} + 12 \, a^{5} b^{5} c^{5} d^{5} + 5 \, a^{6} b^{4} c^{4} d^{6} - 16 \, a^{7} b^{3} c^{3} d^{7} + 3 \, a^{8} b^{2} c^{2} d^{8} + 2 \, a^{9} b c d^{9}\right)} e^{7} f^{3} + {\left(a b^{9} c^{10} + 9 \, a^{2} b^{8} c^{9} d - 18 \, a^{3} b^{7} c^{8} d^{2} - 10 \, a^{4} b^{6} c^{7} d^{3} + 18 \, a^{5} b^{5} c^{6} d^{4} + 18 \, a^{6} b^{4} c^{5} d^{5} - 10 \, a^{7} b^{3} c^{4} d^{6} - 18 \, a^{8} b^{2} c^{3} d^{7} + 9 \, a^{9} b c^{2} d^{8} + a^{10} c d^{9}\right)} e^{6} f^{4} - 3 \, {\left(a^{2} b^{8} c^{10} - 6 \, a^{4} b^{6} c^{8} d^{2} + 8 \, a^{5} b^{5} c^{7} d^{3} - 6 \, a^{6} b^{4} c^{6} d^{4} + 8 \, a^{7} b^{3} c^{5} d^{5} - 6 \, a^{8} b^{2} c^{4} d^{6} + a^{10} c^{2} d^{8}\right)} e^{5} f^{5} + 2 \, {\left(a^{3} b^{7} c^{10} - 5 \, a^{4} b^{6} c^{9} d + 9 \, a^{5} b^{5} c^{8} d^{2} - 5 \, a^{6} b^{4} c^{7} d^{3} - 5 \, a^{7} b^{3} c^{6} d^{4} + 9 \, a^{8} b^{2} c^{5} d^{5} - 5 \, a^{9} b c^{4} d^{6} + a^{10} c^{3} d^{7}\right)} e^{4} f^{6} + 2 \, {\left(a^{4} b^{6} c^{10} - 9 \, a^{6} b^{4} c^{8} d^{2} + 16 \, a^{7} b^{3} c^{7} d^{3} - 9 \, a^{8} b^{2} c^{6} d^{4} + a^{10} c^{4} d^{6}\right)} e^{3} f^{7} - 3 \, {\left(a^{5} b^{5} c^{10} - 3 \, a^{6} b^{4} c^{9} d + 2 \, a^{7} b^{3} c^{8} d^{2} + 2 \, a^{8} b^{2} c^{7} d^{3} - 3 \, a^{9} b c^{6} d^{4} + a^{10} c^{5} d^{5}\right)} e^{2} f^{8} + {\left(a^{6} b^{4} c^{10} - 4 \, a^{7} b^{3} c^{9} d + 6 \, a^{8} b^{2} c^{8} d^{2} - 4 \, a^{9} b c^{7} d^{3} + a^{10} c^{6} d^{4}\right)} e f^{9}\right)} x\right)}}"," ",0,"3*(2*b^7*d^2*e^2 + (3*b^7*c*d - 7*a*b^6*d^2)*e*f + (2*b^7*c^2 - 7*a*b^6*c*d + 7*a^2*b^5*d^2)*f^2)*log(b*x + a)/((b^10*c^5 - 5*a*b^9*c^4*d + 10*a^2*b^8*c^3*d^2 - 10*a^3*b^7*c^2*d^3 + 5*a^4*b^6*c*d^4 - a^5*b^5*d^5)*e^5 - 5*(a*b^9*c^5 - 5*a^2*b^8*c^4*d + 10*a^3*b^7*c^3*d^2 - 10*a^4*b^6*c^2*d^3 + 5*a^5*b^5*c*d^4 - a^6*b^4*d^5)*e^4*f + 10*(a^2*b^8*c^5 - 5*a^3*b^7*c^4*d + 10*a^4*b^6*c^3*d^2 - 10*a^5*b^5*c^2*d^3 + 5*a^6*b^4*c*d^4 - a^7*b^3*d^5)*e^3*f^2 - 10*(a^3*b^7*c^5 - 5*a^4*b^6*c^4*d + 10*a^5*b^5*c^3*d^2 - 10*a^6*b^4*c^2*d^3 + 5*a^7*b^3*c*d^4 - a^8*b^2*d^5)*e^2*f^3 + 5*(a^4*b^6*c^5 - 5*a^5*b^5*c^4*d + 10*a^6*b^4*c^3*d^2 - 10*a^7*b^3*c^2*d^3 + 5*a^8*b^2*c*d^4 - a^9*b*d^5)*e*f^4 - (a^5*b^5*c^5 - 5*a^6*b^4*c^4*d + 10*a^7*b^3*c^3*d^2 - 10*a^8*b^2*c^2*d^3 + 5*a^9*b*c*d^4 - a^10*d^5)*f^5) - 3*(2*b^2*d^7*e^2 - (7*b^2*c*d^6 - 3*a*b*d^7)*e*f + (7*b^2*c^2*d^5 - 7*a*b*c*d^6 + 2*a^2*d^7)*f^2)*log(d*x + c)/((b^5*c^5*d^5 - 5*a*b^4*c^4*d^6 + 10*a^2*b^3*c^3*d^7 - 10*a^3*b^2*c^2*d^8 + 5*a^4*b*c*d^9 - a^5*d^10)*e^5 - 5*(b^5*c^6*d^4 - 5*a*b^4*c^5*d^5 + 10*a^2*b^3*c^4*d^6 - 10*a^3*b^2*c^3*d^7 + 5*a^4*b*c^2*d^8 - a^5*c*d^9)*e^4*f + 10*(b^5*c^7*d^3 - 5*a*b^4*c^6*d^4 + 10*a^2*b^3*c^5*d^5 - 10*a^3*b^2*c^4*d^6 + 5*a^4*b*c^3*d^7 - a^5*c^2*d^8)*e^3*f^2 - 10*(b^5*c^8*d^2 - 5*a*b^4*c^7*d^3 + 10*a^2*b^3*c^6*d^4 - 10*a^3*b^2*c^5*d^5 + 5*a^4*b*c^4*d^6 - a^5*c^3*d^7)*e^2*f^3 + 5*(b^5*c^9*d - 5*a*b^4*c^8*d^2 + 10*a^2*b^3*c^7*d^3 - 10*a^3*b^2*c^6*d^4 + 5*a^4*b*c^5*d^5 - a^5*c^4*d^6)*e*f^4 - (b^5*c^10 - 5*a*b^4*c^9*d + 10*a^2*b^3*c^8*d^2 - 10*a^3*b^2*c^7*d^3 + 5*a^4*b*c^6*d^4 - a^5*c^5*d^5)*f^5) + 3*(7*b^2*d^2*e^2*f^5 - 7*(b^2*c*d + a*b*d^2)*e*f^6 + (2*b^2*c^2 + 3*a*b*c*d + 2*a^2*d^2)*f^7)*log(f*x + e)/(b^5*d^5*e^10 + a^5*c^5*f^10 - 5*(b^5*c*d^4 + a*b^4*d^5)*e^9*f + 5*(2*b^5*c^2*d^3 + 5*a*b^4*c*d^4 + 2*a^2*b^3*d^5)*e^8*f^2 - 10*(b^5*c^3*d^2 + 5*a*b^4*c^2*d^3 + 5*a^2*b^3*c*d^4 + a^3*b^2*d^5)*e^7*f^3 + 5*(b^5*c^4*d + 10*a*b^4*c^3*d^2 + 20*a^2*b^3*c^2*d^3 + 10*a^3*b^2*c*d^4 + a^4*b*d^5)*e^6*f^4 - (b^5*c^5 + 25*a*b^4*c^4*d + 100*a^2*b^3*c^3*d^2 + 100*a^3*b^2*c^2*d^3 + 25*a^4*b*c*d^4 + a^5*d^5)*e^5*f^5 + 5*(a*b^4*c^5 + 10*a^2*b^3*c^4*d + 20*a^3*b^2*c^3*d^2 + 10*a^4*b*c^2*d^3 + a^5*c*d^4)*e^4*f^6 - 10*(a^2*b^3*c^5 + 5*a^3*b^2*c^4*d + 5*a^4*b*c^3*d^2 + a^5*c^2*d^3)*e^3*f^7 + 5*(2*a^3*b^2*c^5 + 5*a^4*b*c^4*d + 2*a^5*c^3*d^2)*e^2*f^8 - 5*(a^4*b*c^5 + a^5*c^4*d)*e*f^9) - 1/2*((b^7*c^3*d^4 - 7*a*b^6*c^2*d^5 - 7*a^2*b^5*c*d^6 + a^3*b^4*d^7)*e^7 - (4*b^7*c^4*d^3 - 21*a*b^6*c^3*d^4 - 26*a^2*b^5*c^2*d^5 - 21*a^3*b^4*c*d^6 + 4*a^4*b^3*d^7)*e^6*f + 2*(3*b^7*c^5*d^2 - 7*a*b^6*c^4*d^3 - 26*a^2*b^5*c^3*d^4 - 26*a^3*b^4*c^2*d^5 - 7*a^4*b^3*c*d^6 + 3*a^5*b^2*d^7)*e^5*f^2 - 2*(2*b^7*c^6*d + 7*a*b^6*c^5*d^2 - 39*a^2*b^5*c^4*d^3 - 39*a^4*b^3*c^2*d^5 + 7*a^5*b^2*c*d^6 + 2*a^6*b*d^7)*e^4*f^3 + (b^7*c^7 + 21*a*b^6*c^6*d - 52*a^2*b^5*c^5*d^2 - 52*a^5*b^2*c^2*d^5 + 21*a^6*b*c*d^6 + a^7*d^7)*e^3*f^4 - (7*a*b^6*c^7 - 26*a^2*b^5*c^6*d + 52*a^3*b^4*c^5*d^2 - 78*a^4*b^3*c^4*d^3 + 52*a^5*b^2*c^3*d^4 - 26*a^6*b*c^2*d^5 + 7*a^7*c*d^6)*e^2*f^5 - 7*(a^2*b^5*c^7 - 3*a^3*b^4*c^6*d + 2*a^4*b^3*c^5*d^2 + 2*a^5*b^2*c^4*d^3 - 3*a^6*b*c^3*d^4 + a^7*c^2*d^5)*e*f^6 + (a^3*b^4*c^7 - 4*a^4*b^3*c^6*d + 6*a^5*b^2*c^5*d^2 - 4*a^6*b*c^4*d^3 + a^7*c^3*d^4)*f^7 - 6*(2*b^7*d^7*e^5*f^2 - 5*(b^7*c*d^6 + a*b^6*d^7)*e^4*f^3 + 2*(b^7*c^2*d^5 + 8*a*b^6*c*d^6 + a^2*b^5*d^7)*e^3*f^4 + 2*(b^7*c^3*d^4 - 6*a*b^6*c^2*d^5 - 6*a^2*b^5*c*d^6 + a^3*b^4*d^7)*e^2*f^5 - (5*b^7*c^4*d^3 - 16*a*b^6*c^3*d^4 + 12*a^2*b^5*c^2*d^5 - 16*a^3*b^4*c*d^6 + 5*a^4*b^3*d^7)*e*f^6 + (2*b^7*c^5*d^2 - 5*a*b^6*c^4*d^3 + 2*a^2*b^5*c^3*d^4 + 2*a^3*b^4*c^2*d^5 - 5*a^4*b^3*c*d^6 + 2*a^5*b^2*d^7)*f^7)*x^5 - 3*(8*b^7*d^7*e^6*f - 14*(b^7*c*d^6 + a*b^6*d^7)*e^5*f^2 - (7*b^7*c^2*d^5 - 34*a*b^6*c*d^6 + 7*a^2*b^5*d^7)*e^4*f^3 + 2*(7*b^7*c^3*d^4 + 3*a*b^6*c^2*d^5 + 3*a^2*b^5*c*d^6 + 7*a^3*b^4*d^7)*e^3*f^4 - (7*b^7*c^4*d^3 - 6*a*b^6*c^3*d^4 + 78*a^2*b^5*c^2*d^5 - 6*a^3*b^4*c*d^6 + 7*a^4*b^3*d^7)*e^2*f^5 - 2*(7*b^7*c^5*d^2 - 17*a*b^6*c^4*d^3 - 3*a^2*b^5*c^3*d^4 - 3*a^3*b^4*c^2*d^5 - 17*a^4*b^3*c*d^6 + 7*a^5*b^2*d^7)*e*f^6 + (8*b^7*c^6*d - 14*a*b^6*c^5*d^2 - 7*a^2*b^5*c^4*d^3 + 14*a^3*b^4*c^3*d^4 - 7*a^4*b^3*c^2*d^5 - 14*a^5*b^2*c*d^6 + 8*a^6*b*d^7)*f^7)*x^4 - 2*(6*b^7*d^7*e^7 + 3*(b^7*c*d^6 + a*b^6*d^7)*e^6*f - (37*b^7*c^2*d^5 + 28*a*b^6*c*d^6 + 37*a^2*b^5*d^7)*e^5*f^2 + (19*b^7*c^3*d^4 + 86*a*b^6*c^2*d^5 + 86*a^2*b^5*c*d^6 + 19*a^3*b^4*d^7)*e^4*f^3 + (19*b^7*c^4*d^3 - 68*a*b^6*c^3*d^4 - 52*a^2*b^5*c^2*d^5 - 68*a^3*b^4*c*d^6 + 19*a^4*b^3*d^7)*e^3*f^4 - (37*b^7*c^5*d^2 - 86*a*b^6*c^4*d^3 + 52*a^2*b^5*c^3*d^4 + 52*a^3*b^4*c^2*d^5 - 86*a^4*b^3*c*d^6 + 37*a^5*b^2*d^7)*e^2*f^5 + (3*b^7*c^6*d - 28*a*b^6*c^5*d^2 + 86*a^2*b^5*c^4*d^3 - 68*a^3*b^4*c^3*d^4 + 86*a^4*b^3*c^2*d^5 - 28*a^5*b^2*c*d^6 + 3*a^6*b*d^7)*e*f^6 + (6*b^7*c^7 + 3*a*b^6*c^6*d - 37*a^2*b^5*c^5*d^2 + 19*a^3*b^4*c^4*d^3 + 19*a^4*b^3*c^3*d^4 - 37*a^5*b^2*c^2*d^5 + 3*a^6*b*c*d^6 + 6*a^7*d^7)*f^7)*x^3 - (18*(b^7*c*d^6 + a*b^6*d^7)*e^7 - (37*b^7*c^2*d^5 + 34*a*b^6*c*d^6 + 37*a^2*b^5*d^7)*e^6*f - 3*(b^7*c^3*d^4 - 3*a*b^6*c^2*d^5 - 3*a^2*b^5*c*d^6 + a^3*b^4*d^7)*e^5*f^2 + (32*b^7*c^4*d^3 + a*b^6*c^3*d^4 + 234*a^2*b^5*c^2*d^5 + a^3*b^4*c*d^6 + 32*a^4*b^3*d^7)*e^4*f^3 - (3*b^7*c^5*d^2 - a*b^6*c^4*d^3 + 208*a^2*b^5*c^3*d^4 + 208*a^3*b^4*c^2*d^5 - a^4*b^3*c*d^6 + 3*a^5*b^2*d^7)*e^3*f^4 - (37*b^7*c^6*d - 9*a*b^6*c^5*d^2 - 234*a^2*b^5*c^4*d^3 + 208*a^3*b^4*c^3*d^4 - 234*a^4*b^3*c^2*d^5 - 9*a^5*b^2*c*d^6 + 37*a^6*b*d^7)*e^2*f^5 + (18*b^7*c^7 - 34*a*b^6*c^6*d + 9*a^2*b^5*c^5*d^2 + a^3*b^4*c^4*d^3 + a^4*b^3*c^3*d^4 + 9*a^5*b^2*c^2*d^5 - 34*a^6*b*c*d^6 + 18*a^7*d^7)*e*f^6 + (18*a*b^6*c^7 - 37*a^2*b^5*c^6*d - 3*a^3*b^4*c^5*d^2 + 32*a^4*b^3*c^4*d^3 - 3*a^5*b^2*c^3*d^4 - 37*a^6*b*c^2*d^5 + 18*a^7*c*d^6)*f^7)*x^2 - 2*(2*(b^7*c^2*d^5 + 7*a*b^6*c*d^6 + a^2*b^5*d^7)*e^7 - 3*(2*b^7*c^3*d^4 + 11*a*b^6*c^2*d^5 + 11*a^2*b^5*c*d^6 + 2*a^3*b^4*d^7)*e^6*f + (4*b^7*c^4*d^3 + 17*a*b^6*c^3*d^4 + 78*a^2*b^5*c^2*d^5 + 17*a^3*b^4*c*d^6 + 4*a^4*b^3*d^7)*e^5*f^2 + 2*(2*b^7*c^5*d^2 - 4*a*b^6*c^4*d^3 - 13*a^2*b^5*c^3*d^4 - 13*a^3*b^4*c^2*d^5 - 4*a^4*b^3*c*d^6 + 2*a^5*b^2*d^7)*e^4*f^3 - (6*b^7*c^6*d - 17*a*b^6*c^5*d^2 + 26*a^2*b^5*c^4*d^3 + 26*a^4*b^3*c^2*d^5 - 17*a^5*b^2*c*d^6 + 6*a^6*b*d^7)*e^3*f^4 + (2*b^7*c^7 - 33*a*b^6*c^6*d + 78*a^2*b^5*c^5*d^2 - 26*a^3*b^4*c^4*d^3 - 26*a^4*b^3*c^3*d^4 + 78*a^5*b^2*c^2*d^5 - 33*a^6*b*c*d^6 + 2*a^7*d^7)*e^2*f^5 + (14*a*b^6*c^7 - 33*a^2*b^5*c^6*d + 17*a^3*b^4*c^5*d^2 - 8*a^4*b^3*c^4*d^3 + 17*a^5*b^2*c^3*d^4 - 33*a^6*b*c^2*d^5 + 14*a^7*c*d^6)*e*f^6 + 2*(a^2*b^5*c^7 - 3*a^3*b^4*c^6*d + 2*a^4*b^3*c^5*d^2 + 2*a^5*b^2*c^4*d^3 - 3*a^6*b*c^3*d^4 + a^7*c^2*d^5)*f^7)*x)/((a^2*b^8*c^6*d^4 - 4*a^3*b^7*c^5*d^5 + 6*a^4*b^6*c^4*d^6 - 4*a^5*b^5*c^3*d^7 + a^6*b^4*c^2*d^8)*e^10 - 4*(a^2*b^8*c^7*d^3 - 3*a^3*b^7*c^6*d^4 + 2*a^4*b^6*c^5*d^5 + 2*a^5*b^5*c^4*d^6 - 3*a^6*b^4*c^3*d^7 + a^7*b^3*c^2*d^8)*e^9*f + 2*(3*a^2*b^8*c^8*d^2 - 4*a^3*b^7*c^7*d^3 - 11*a^4*b^6*c^6*d^4 + 24*a^5*b^5*c^5*d^5 - 11*a^6*b^4*c^4*d^6 - 4*a^7*b^3*c^3*d^7 + 3*a^8*b^2*c^2*d^8)*e^8*f^2 - 4*(a^2*b^8*c^9*d + 2*a^3*b^7*c^8*d^2 - 12*a^4*b^6*c^7*d^3 + 9*a^5*b^5*c^6*d^4 + 9*a^6*b^4*c^5*d^5 - 12*a^7*b^3*c^4*d^6 + 2*a^8*b^2*c^3*d^7 + a^9*b*c^2*d^8)*e^7*f^3 + (a^2*b^8*c^10 + 12*a^3*b^7*c^9*d - 22*a^4*b^6*c^8*d^2 - 36*a^5*b^5*c^7*d^3 + 90*a^6*b^4*c^6*d^4 - 36*a^7*b^3*c^5*d^5 - 22*a^8*b^2*c^4*d^6 + 12*a^9*b*c^3*d^7 + a^10*c^2*d^8)*e^6*f^4 - 4*(a^3*b^7*c^10 + 2*a^4*b^6*c^9*d - 12*a^5*b^5*c^8*d^2 + 9*a^6*b^4*c^7*d^3 + 9*a^7*b^3*c^6*d^4 - 12*a^8*b^2*c^5*d^5 + 2*a^9*b*c^4*d^6 + a^10*c^3*d^7)*e^5*f^5 + 2*(3*a^4*b^6*c^10 - 4*a^5*b^5*c^9*d - 11*a^6*b^4*c^8*d^2 + 24*a^7*b^3*c^7*d^3 - 11*a^8*b^2*c^6*d^4 - 4*a^9*b*c^5*d^5 + 3*a^10*c^4*d^6)*e^4*f^6 - 4*(a^5*b^5*c^10 - 3*a^6*b^4*c^9*d + 2*a^7*b^3*c^8*d^2 + 2*a^8*b^2*c^7*d^3 - 3*a^9*b*c^6*d^4 + a^10*c^5*d^5)*e^3*f^7 + (a^6*b^4*c^10 - 4*a^7*b^3*c^9*d + 6*a^8*b^2*c^8*d^2 - 4*a^9*b*c^7*d^3 + a^10*c^6*d^4)*e^2*f^8 + ((b^10*c^4*d^6 - 4*a*b^9*c^3*d^7 + 6*a^2*b^8*c^2*d^8 - 4*a^3*b^7*c*d^9 + a^4*b^6*d^10)*e^8*f^2 - 4*(b^10*c^5*d^5 - 3*a*b^9*c^4*d^6 + 2*a^2*b^8*c^3*d^7 + 2*a^3*b^7*c^2*d^8 - 3*a^4*b^6*c*d^9 + a^5*b^5*d^10)*e^7*f^3 + 2*(3*b^10*c^6*d^4 - 4*a*b^9*c^5*d^5 - 11*a^2*b^8*c^4*d^6 + 24*a^3*b^7*c^3*d^7 - 11*a^4*b^6*c^2*d^8 - 4*a^5*b^5*c*d^9 + 3*a^6*b^4*d^10)*e^6*f^4 - 4*(b^10*c^7*d^3 + 2*a*b^9*c^6*d^4 - 12*a^2*b^8*c^5*d^5 + 9*a^3*b^7*c^4*d^6 + 9*a^4*b^6*c^3*d^7 - 12*a^5*b^5*c^2*d^8 + 2*a^6*b^4*c*d^9 + a^7*b^3*d^10)*e^5*f^5 + (b^10*c^8*d^2 + 12*a*b^9*c^7*d^3 - 22*a^2*b^8*c^6*d^4 - 36*a^3*b^7*c^5*d^5 + 90*a^4*b^6*c^4*d^6 - 36*a^5*b^5*c^3*d^7 - 22*a^6*b^4*c^2*d^8 + 12*a^7*b^3*c*d^9 + a^8*b^2*d^10)*e^4*f^6 - 4*(a*b^9*c^8*d^2 + 2*a^2*b^8*c^7*d^3 - 12*a^3*b^7*c^6*d^4 + 9*a^4*b^6*c^5*d^5 + 9*a^5*b^5*c^4*d^6 - 12*a^6*b^4*c^3*d^7 + 2*a^7*b^3*c^2*d^8 + a^8*b^2*c*d^9)*e^3*f^7 + 2*(3*a^2*b^8*c^8*d^2 - 4*a^3*b^7*c^7*d^3 - 11*a^4*b^6*c^6*d^4 + 24*a^5*b^5*c^5*d^5 - 11*a^6*b^4*c^4*d^6 - 4*a^7*b^3*c^3*d^7 + 3*a^8*b^2*c^2*d^8)*e^2*f^8 - 4*(a^3*b^7*c^8*d^2 - 3*a^4*b^6*c^7*d^3 + 2*a^5*b^5*c^6*d^4 + 2*a^6*b^4*c^5*d^5 - 3*a^7*b^3*c^4*d^6 + a^8*b^2*c^3*d^7)*e*f^9 + (a^4*b^6*c^8*d^2 - 4*a^5*b^5*c^7*d^3 + 6*a^6*b^4*c^6*d^4 - 4*a^7*b^3*c^5*d^5 + a^8*b^2*c^4*d^6)*f^10)*x^6 + 2*((b^10*c^4*d^6 - 4*a*b^9*c^3*d^7 + 6*a^2*b^8*c^2*d^8 - 4*a^3*b^7*c*d^9 + a^4*b^6*d^10)*e^9*f - 3*(b^10*c^5*d^5 - 3*a*b^9*c^4*d^6 + 2*a^2*b^8*c^3*d^7 + 2*a^3*b^7*c^2*d^8 - 3*a^4*b^6*c*d^9 + a^5*b^5*d^10)*e^8*f^2 + 2*(b^10*c^6*d^4 - 9*a^2*b^8*c^4*d^6 + 16*a^3*b^7*c^3*d^7 - 9*a^4*b^6*c^2*d^8 + a^6*b^4*d^10)*e^7*f^3 + 2*(b^10*c^7*d^3 - 5*a*b^9*c^6*d^4 + 9*a^2*b^8*c^5*d^5 - 5*a^3*b^7*c^4*d^6 - 5*a^4*b^6*c^3*d^7 + 9*a^5*b^5*c^2*d^8 - 5*a^6*b^4*c*d^9 + a^7*b^3*d^10)*e^6*f^4 - 3*(b^10*c^8*d^2 - 6*a^2*b^8*c^6*d^4 + 8*a^3*b^7*c^5*d^5 - 6*a^4*b^6*c^4*d^6 + 8*a^5*b^5*c^3*d^7 - 6*a^6*b^4*c^2*d^8 + a^8*b^2*d^10)*e^5*f^5 + (b^10*c^9*d + 9*a*b^9*c^8*d^2 - 18*a^2*b^8*c^7*d^3 - 10*a^3*b^7*c^6*d^4 + 18*a^4*b^6*c^5*d^5 + 18*a^5*b^5*c^4*d^6 - 10*a^6*b^4*c^3*d^7 - 18*a^7*b^3*c^2*d^8 + 9*a^8*b^2*c*d^9 + a^9*b*d^10)*e^4*f^6 - 2*(2*a*b^9*c^9*d + 3*a^2*b^8*c^8*d^2 - 16*a^3*b^7*c^7*d^3 + 5*a^4*b^6*c^6*d^4 + 12*a^5*b^5*c^5*d^5 + 5*a^6*b^4*c^4*d^6 - 16*a^7*b^3*c^3*d^7 + 3*a^8*b^2*c^2*d^8 + 2*a^9*b*c*d^9)*e^3*f^7 + 6*(a^2*b^8*c^9*d - a^3*b^7*c^8*d^2 - 3*a^4*b^6*c^7*d^3 + 3*a^5*b^5*c^6*d^4 + 3*a^6*b^4*c^5*d^5 - 3*a^7*b^3*c^4*d^6 - a^8*b^2*c^3*d^7 + a^9*b*c^2*d^8)*e^2*f^8 - (4*a^3*b^7*c^9*d - 9*a^4*b^6*c^8*d^2 + 10*a^6*b^4*c^6*d^4 - 9*a^8*b^2*c^4*d^6 + 4*a^9*b*c^3*d^7)*e*f^9 + (a^4*b^6*c^9*d - 3*a^5*b^5*c^8*d^2 + 2*a^6*b^4*c^7*d^3 + 2*a^7*b^3*c^6*d^4 - 3*a^8*b^2*c^5*d^5 + a^9*b*c^4*d^6)*f^10)*x^5 + ((b^10*c^4*d^6 - 4*a*b^9*c^3*d^7 + 6*a^2*b^8*c^2*d^8 - 4*a^3*b^7*c*d^9 + a^4*b^6*d^10)*e^10 - 3*(3*b^10*c^6*d^4 - 8*a*b^9*c^5*d^5 + 5*a^2*b^8*c^4*d^6 + 5*a^4*b^6*c^2*d^8 - 8*a^5*b^5*c*d^9 + 3*a^6*b^4*d^10)*e^8*f^2 + 4*(4*b^10*c^7*d^3 - 5*a*b^9*c^6*d^4 - 9*a^2*b^8*c^5*d^5 + 10*a^3*b^7*c^4*d^6 + 10*a^4*b^6*c^3*d^7 - 9*a^5*b^5*c^2*d^8 - 5*a^6*b^4*c*d^9 + 4*a^7*b^3*d^10)*e^7*f^3 - (9*b^10*c^8*d^2 + 20*a*b^9*c^7*d^3 - 90*a^2*b^8*c^6*d^4 + 36*a^3*b^7*c^5*d^5 + 50*a^4*b^6*c^4*d^6 + 36*a^5*b^5*c^3*d^7 - 90*a^6*b^4*c^2*d^8 + 20*a^7*b^3*c*d^9 + 9*a^8*b^2*d^10)*e^6*f^4 + 12*(2*a*b^9*c^8*d^2 - 3*a^2*b^8*c^7*d^3 - 3*a^3*b^7*c^6*d^4 + 4*a^4*b^6*c^5*d^5 + 4*a^5*b^5*c^4*d^6 - 3*a^6*b^4*c^3*d^7 - 3*a^7*b^3*c^2*d^8 + 2*a^8*b^2*c*d^9)*e^5*f^5 + (b^10*c^10 - 15*a^2*b^8*c^8*d^2 + 40*a^3*b^7*c^7*d^3 - 50*a^4*b^6*c^6*d^4 + 48*a^5*b^5*c^5*d^5 - 50*a^6*b^4*c^4*d^6 + 40*a^7*b^3*c^3*d^7 - 15*a^8*b^2*c^2*d^8 + a^10*d^10)*e^4*f^6 - 4*(a*b^9*c^10 - 10*a^4*b^6*c^7*d^3 + 9*a^5*b^5*c^6*d^4 + 9*a^6*b^4*c^5*d^5 - 10*a^7*b^3*c^4*d^6 + a^10*c*d^9)*e^3*f^7 + 3*(2*a^2*b^8*c^10 - 5*a^4*b^6*c^8*d^2 - 12*a^5*b^5*c^7*d^3 + 30*a^6*b^4*c^6*d^4 - 12*a^7*b^3*c^5*d^5 - 5*a^8*b^2*c^4*d^6 + 2*a^10*c^2*d^8)*e^2*f^8 - 4*(a^3*b^7*c^10 - 6*a^5*b^5*c^8*d^2 + 5*a^6*b^4*c^7*d^3 + 5*a^7*b^3*c^6*d^4 - 6*a^8*b^2*c^5*d^5 + a^10*c^3*d^7)*e*f^9 + (a^4*b^6*c^10 - 9*a^6*b^4*c^8*d^2 + 16*a^7*b^3*c^7*d^3 - 9*a^8*b^2*c^6*d^4 + a^10*c^4*d^6)*f^10)*x^4 + 2*((b^10*c^5*d^5 - 3*a*b^9*c^4*d^6 + 2*a^2*b^8*c^3*d^7 + 2*a^3*b^7*c^2*d^8 - 3*a^4*b^6*c*d^9 + a^5*b^5*d^10)*e^10 - (3*b^10*c^6*d^4 - 8*a*b^9*c^5*d^5 + 5*a^2*b^8*c^4*d^6 + 5*a^4*b^6*c^2*d^8 - 8*a^5*b^5*c*d^9 + 3*a^6*b^4*d^10)*e^9*f + (2*b^10*c^7*d^3 - 5*a*b^9*c^6*d^4 + 3*a^2*b^8*c^5*d^5 + 3*a^5*b^5*c^2*d^8 - 5*a^6*b^4*c*d^9 + 2*a^7*b^3*d^10)*e^8*f^2 + 2*(b^10*c^8*d^2 - 16*a^3*b^7*c^5*d^5 + 30*a^4*b^6*c^4*d^6 - 16*a^5*b^5*c^3*d^7 + a^8*b^2*d^10)*e^7*f^3 - (3*b^10*c^9*d + 5*a*b^9*c^8*d^2 - 60*a^3*b^7*c^6*d^4 + 52*a^4*b^6*c^5*d^5 + 52*a^5*b^5*c^4*d^6 - 60*a^6*b^4*c^3*d^7 + 5*a^8*b^2*c*d^9 + 3*a^9*b*d^10)*e^6*f^4 + (b^10*c^10 + 8*a*b^9*c^9*d + 3*a^2*b^8*c^8*d^2 - 32*a^3*b^7*c^7*d^3 - 52*a^4*b^6*c^6*d^4 + 144*a^5*b^5*c^5*d^5 - 52*a^6*b^4*c^4*d^6 - 32*a^7*b^3*c^3*d^7 + 3*a^8*b^2*c^2*d^8 + 8*a^9*b*c*d^9 + a^10*d^10)*e^5*f^5 - (3*a*b^9*c^10 + 5*a^2*b^8*c^9*d - 60*a^4*b^6*c^7*d^3 + 52*a^5*b^5*c^6*d^4 + 52*a^6*b^4*c^5*d^5 - 60*a^7*b^3*c^4*d^6 + 5*a^9*b*c^2*d^8 + 3*a^10*c*d^9)*e^4*f^6 + 2*(a^2*b^8*c^10 - 16*a^5*b^5*c^7*d^3 + 30*a^6*b^4*c^6*d^4 - 16*a^7*b^3*c^5*d^5 + a^10*c^2*d^8)*e^3*f^7 + (2*a^3*b^7*c^10 - 5*a^4*b^6*c^9*d + 3*a^5*b^5*c^8*d^2 + 3*a^8*b^2*c^5*d^5 - 5*a^9*b*c^4*d^6 + 2*a^10*c^3*d^7)*e^2*f^8 - (3*a^4*b^6*c^10 - 8*a^5*b^5*c^9*d + 5*a^6*b^4*c^8*d^2 + 5*a^8*b^2*c^6*d^4 - 8*a^9*b*c^5*d^5 + 3*a^10*c^4*d^6)*e*f^9 + (a^5*b^5*c^10 - 3*a^6*b^4*c^9*d + 2*a^7*b^3*c^8*d^2 + 2*a^8*b^2*c^7*d^3 - 3*a^9*b*c^6*d^4 + a^10*c^5*d^5)*f^10)*x^3 + ((b^10*c^6*d^4 - 9*a^2*b^8*c^4*d^6 + 16*a^3*b^7*c^3*d^7 - 9*a^4*b^6*c^2*d^8 + a^6*b^4*d^10)*e^10 - 4*(b^10*c^7*d^3 - 6*a^2*b^8*c^5*d^5 + 5*a^3*b^7*c^4*d^6 + 5*a^4*b^6*c^3*d^7 - 6*a^5*b^5*c^2*d^8 + a^7*b^3*d^10)*e^9*f + 3*(2*b^10*c^8*d^2 - 5*a^2*b^8*c^6*d^4 - 12*a^3*b^7*c^5*d^5 + 30*a^4*b^6*c^4*d^6 - 12*a^5*b^5*c^3*d^7 - 5*a^6*b^4*c^2*d^8 + 2*a^8*b^2*d^10)*e^8*f^2 - 4*(b^10*c^9*d - 10*a^3*b^7*c^6*d^4 + 9*a^4*b^6*c^5*d^5 + 9*a^5*b^5*c^4*d^6 - 10*a^6*b^4*c^3*d^7 + a^9*b*d^10)*e^7*f^3 + (b^10*c^10 - 15*a^2*b^8*c^8*d^2 + 40*a^3*b^7*c^7*d^3 - 50*a^4*b^6*c^6*d^4 + 48*a^5*b^5*c^5*d^5 - 50*a^6*b^4*c^4*d^6 + 40*a^7*b^3*c^3*d^7 - 15*a^8*b^2*c^2*d^8 + a^10*d^10)*e^6*f^4 + 12*(2*a^2*b^8*c^9*d - 3*a^3*b^7*c^8*d^2 - 3*a^4*b^6*c^7*d^3 + 4*a^5*b^5*c^6*d^4 + 4*a^6*b^4*c^5*d^5 - 3*a^7*b^3*c^4*d^6 - 3*a^8*b^2*c^3*d^7 + 2*a^9*b*c^2*d^8)*e^5*f^5 - (9*a^2*b^8*c^10 + 20*a^3*b^7*c^9*d - 90*a^4*b^6*c^8*d^2 + 36*a^5*b^5*c^7*d^3 + 50*a^6*b^4*c^6*d^4 + 36*a^7*b^3*c^5*d^5 - 90*a^8*b^2*c^4*d^6 + 20*a^9*b*c^3*d^7 + 9*a^10*c^2*d^8)*e^4*f^6 + 4*(4*a^3*b^7*c^10 - 5*a^4*b^6*c^9*d - 9*a^5*b^5*c^8*d^2 + 10*a^6*b^4*c^7*d^3 + 10*a^7*b^3*c^6*d^4 - 9*a^8*b^2*c^5*d^5 - 5*a^9*b*c^4*d^6 + 4*a^10*c^3*d^7)*e^3*f^7 - 3*(3*a^4*b^6*c^10 - 8*a^5*b^5*c^9*d + 5*a^6*b^4*c^8*d^2 + 5*a^8*b^2*c^6*d^4 - 8*a^9*b*c^5*d^5 + 3*a^10*c^4*d^6)*e^2*f^8 + (a^6*b^4*c^10 - 4*a^7*b^3*c^9*d + 6*a^8*b^2*c^8*d^2 - 4*a^9*b*c^7*d^3 + a^10*c^6*d^4)*f^10)*x^2 + 2*((a*b^9*c^6*d^4 - 3*a^2*b^8*c^5*d^5 + 2*a^3*b^7*c^4*d^6 + 2*a^4*b^6*c^3*d^7 - 3*a^5*b^5*c^2*d^8 + a^6*b^4*c*d^9)*e^10 - (4*a*b^9*c^7*d^3 - 9*a^2*b^8*c^6*d^4 + 10*a^4*b^6*c^4*d^6 - 9*a^6*b^4*c^2*d^8 + 4*a^7*b^3*c*d^9)*e^9*f + 6*(a*b^9*c^8*d^2 - a^2*b^8*c^7*d^3 - 3*a^3*b^7*c^6*d^4 + 3*a^4*b^6*c^5*d^5 + 3*a^5*b^5*c^4*d^6 - 3*a^6*b^4*c^3*d^7 - a^7*b^3*c^2*d^8 + a^8*b^2*c*d^9)*e^8*f^2 - 2*(2*a*b^9*c^9*d + 3*a^2*b^8*c^8*d^2 - 16*a^3*b^7*c^7*d^3 + 5*a^4*b^6*c^6*d^4 + 12*a^5*b^5*c^5*d^5 + 5*a^6*b^4*c^4*d^6 - 16*a^7*b^3*c^3*d^7 + 3*a^8*b^2*c^2*d^8 + 2*a^9*b*c*d^9)*e^7*f^3 + (a*b^9*c^10 + 9*a^2*b^8*c^9*d - 18*a^3*b^7*c^8*d^2 - 10*a^4*b^6*c^7*d^3 + 18*a^5*b^5*c^6*d^4 + 18*a^6*b^4*c^5*d^5 - 10*a^7*b^3*c^4*d^6 - 18*a^8*b^2*c^3*d^7 + 9*a^9*b*c^2*d^8 + a^10*c*d^9)*e^6*f^4 - 3*(a^2*b^8*c^10 - 6*a^4*b^6*c^8*d^2 + 8*a^5*b^5*c^7*d^3 - 6*a^6*b^4*c^6*d^4 + 8*a^7*b^3*c^5*d^5 - 6*a^8*b^2*c^4*d^6 + a^10*c^2*d^8)*e^5*f^5 + 2*(a^3*b^7*c^10 - 5*a^4*b^6*c^9*d + 9*a^5*b^5*c^8*d^2 - 5*a^6*b^4*c^7*d^3 - 5*a^7*b^3*c^6*d^4 + 9*a^8*b^2*c^5*d^5 - 5*a^9*b*c^4*d^6 + a^10*c^3*d^7)*e^4*f^6 + 2*(a^4*b^6*c^10 - 9*a^6*b^4*c^8*d^2 + 16*a^7*b^3*c^7*d^3 - 9*a^8*b^2*c^6*d^4 + a^10*c^4*d^6)*e^3*f^7 - 3*(a^5*b^5*c^10 - 3*a^6*b^4*c^9*d + 2*a^7*b^3*c^8*d^2 + 2*a^8*b^2*c^7*d^3 - 3*a^9*b*c^6*d^4 + a^10*c^5*d^5)*e^2*f^8 + (a^6*b^4*c^10 - 4*a^7*b^3*c^9*d + 6*a^8*b^2*c^8*d^2 - 4*a^9*b*c^7*d^3 + a^10*c^6*d^4)*e*f^9)*x)","B",0
21,1,19,0,1.452948," ","integrate(1/(x^3+x^2+x+1),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"1/2*arctan(x) - 1/4*log(x^2 + 1) + 1/2*log(x + 1)","A",0
22,1,25,0,1.280033," ","integrate(1/(16*x^3-4*x^2+4*x-1),x, algorithm=""maxima"")","-\frac{1}{10} \, \arctan\left(2 \, x\right) - \frac{1}{10} \, \log\left(4 \, x^{2} + 1\right) + \frac{1}{5} \, \log\left(4 \, x - 1\right)"," ",0,"-1/10*arctan(2*x) - 1/10*log(4*x^2 + 1) + 1/5*log(4*x - 1)","A",0
23,1,8,0,0.625856," ","integrate(1/d/x^3,x, algorithm=""maxima"")","-\frac{1}{2 \, d x^{2}}"," ",0,"-1/2/(d*x^2)","A",0
24,1,28,0,0.587217," ","integrate(1/(d*x^3+c*x^2),x, algorithm=""maxima"")","\frac{d \log\left(d x + c\right)}{c^{2}} - \frac{d \log\left(x\right)}{c^{2}} - \frac{1}{c x}"," ",0,"d*log(d*x + c)/c^2 - d*log(x)/c^2 - 1/(c*x)","A",0
25,1,20,0,0.793194," ","integrate(1/(d*x^3+b*x),x, algorithm=""maxima"")","-\frac{\log\left(d x^{2} + b\right)}{2 \, b} + \frac{\log\left(x\right)}{b}"," ",0,"-1/2*log(d*x^2 + b)/b + log(x)/b","A",0
26,-2,0,0,0.000000," ","integrate(1/(d*x^3+c*x^2+b*x),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b*d-c^2>0)', see `assume?` for more details)Is 4*b*d-c^2 positive or negative?","F(-2)",0
27,1,98,0,1.281338," ","integrate(1/(d*x^3+a),x, algorithm=""maxima"")","\frac{\sqrt{3} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{d}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{d}\right)^{\frac{1}{3}}}\right)}{3 \, d \left(\frac{a}{d}\right)^{\frac{2}{3}}} - \frac{\log\left(x^{2} - x \left(\frac{a}{d}\right)^{\frac{1}{3}} + \left(\frac{a}{d}\right)^{\frac{2}{3}}\right)}{6 \, d \left(\frac{a}{d}\right)^{\frac{2}{3}}} + \frac{\log\left(x + \left(\frac{a}{d}\right)^{\frac{1}{3}}\right)}{3 \, d \left(\frac{a}{d}\right)^{\frac{2}{3}}}"," ",0,"1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - (a/d)^(1/3))/(a/d)^(1/3))/(d*(a/d)^(2/3)) - 1/6*log(x^2 - x*(a/d)^(1/3) + (a/d)^(2/3))/(d*(a/d)^(2/3)) + 1/3*log(x + (a/d)^(1/3))/(d*(a/d)^(2/3))","A",0
28,1,17,0,0.574488," ","integrate((d*x^3)^n,x, algorithm=""maxima"")","\frac{d^{n} x x^{3 \, n}}{3 \, n + 1}"," ",0,"d^n*x*x^(3*n)/(3*n + 1)","A",0
29,0,0,0,0.000000," ","integrate((d*x^3+c*x^2)^n,x, algorithm=""maxima"")","\int {\left(d x^{3} + c x^{2}\right)}^{n}\,{d x}"," ",0,"integrate((d*x^3 + c*x^2)^n, x)","F",0
30,0,0,0,0.000000," ","integrate((d*x^3+b*x)^n,x, algorithm=""maxima"")","\int {\left(d x^{3} + b x\right)}^{n}\,{d x}"," ",0,"integrate((d*x^3 + b*x)^n, x)","F",0
31,0,0,0,0.000000," ","integrate((d*x^3+c*x^2+b*x)^n,x, algorithm=""maxima"")","\int {\left(d x^{3} + c x^{2} + b x\right)}^{n}\,{d x}"," ",0,"integrate((d*x^3 + c*x^2 + b*x)^n, x)","F",0
32,0,0,0,0.000000," ","integrate((d*x^3+a)^n,x, algorithm=""maxima"")","\int {\left(d x^{3} + a\right)}^{n}\,{d x}"," ",0,"integrate((d*x^3 + a)^n, x)","F",0
33,1,372,0,0.627946," ","integrate((d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^4,x, algorithm=""maxima"")","\frac{1}{17} \, d^{8} x^{17} + c d^{7} x^{16} + \frac{32}{5} \, c^{2} d^{6} x^{15} + \frac{128}{7} \, c^{3} d^{5} x^{14} + \frac{256}{13} \, c^{4} d^{4} x^{13} + \frac{256}{9} \, c^{8} x^{9} + 256 \, a^{4} c^{4} x + \frac{256}{15} \, {\left(3 \, d^{2} x^{5} + 15 \, c d x^{4} + 20 \, c^{2} x^{3}\right)} a^{3} c^{3} + \frac{256}{55} \, {\left(5 \, d^{2} x^{11} + 22 \, c d x^{10}\right)} c^{6} + \frac{32}{105} \, {\left(35 \, d^{4} x^{9} + 315 \, c d^{3} x^{8} + 720 \, c^{2} d^{2} x^{7} + 1008 \, c^{4} x^{5} + 120 \, {\left(3 \, d^{2} x^{7} + 14 \, c d x^{6}\right)} c^{2}\right)} a^{2} c^{2} + \frac{32}{143} \, {\left(33 \, d^{4} x^{13} + 286 \, c d^{3} x^{12} + 624 \, c^{2} d^{2} x^{11}\right)} c^{4} + \frac{16}{15015} \, {\left(1155 \, d^{6} x^{13} + 15015 \, c d^{5} x^{12} + 65520 \, c^{2} d^{4} x^{11} + 96096 \, c^{3} d^{3} x^{10} + 137280 \, c^{6} x^{7} + 40040 \, {\left(2 \, d^{2} x^{9} + 9 \, c d x^{8}\right)} c^{4} + 364 \, {\left(45 \, d^{4} x^{11} + 396 \, c d^{3} x^{10} + 880 \, c^{2} d^{2} x^{9}\right)} c^{2}\right)} a c + \frac{16}{1365} \, {\left(91 \, d^{6} x^{15} + 1170 \, c d^{5} x^{14} + 5040 \, c^{2} d^{4} x^{13} + 7280 \, c^{3} d^{3} x^{12}\right)} c^{2}"," ",0,"1/17*d^8*x^17 + c*d^7*x^16 + 32/5*c^2*d^6*x^15 + 128/7*c^3*d^5*x^14 + 256/13*c^4*d^4*x^13 + 256/9*c^8*x^9 + 256*a^4*c^4*x + 256/15*(3*d^2*x^5 + 15*c*d*x^4 + 20*c^2*x^3)*a^3*c^3 + 256/55*(5*d^2*x^11 + 22*c*d*x^10)*c^6 + 32/105*(35*d^4*x^9 + 315*c*d^3*x^8 + 720*c^2*d^2*x^7 + 1008*c^4*x^5 + 120*(3*d^2*x^7 + 14*c*d*x^6)*c^2)*a^2*c^2 + 32/143*(33*d^4*x^13 + 286*c*d^3*x^12 + 624*c^2*d^2*x^11)*c^4 + 16/15015*(1155*d^6*x^13 + 15015*c*d^5*x^12 + 65520*c^2*d^4*x^11 + 96096*c^3*d^3*x^10 + 137280*c^6*x^7 + 40040*(2*d^2*x^9 + 9*c*d*x^8)*c^4 + 364*(45*d^4*x^11 + 396*c*d^3*x^10 + 880*c^2*d^2*x^9)*c^2)*a*c + 16/1365*(91*d^6*x^15 + 1170*c*d^5*x^14 + 5040*c^2*d^4*x^13 + 7280*c^3*d^3*x^12)*c^2","A",0
34,1,205,0,0.801882," ","integrate((d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^3,x, algorithm=""maxima"")","\frac{1}{13} \, d^{6} x^{13} + c d^{5} x^{12} + \frac{48}{11} \, c^{2} d^{4} x^{11} + \frac{32}{5} \, c^{3} d^{3} x^{10} + \frac{64}{7} \, c^{6} x^{7} + 64 \, a^{3} c^{3} x + \frac{16}{5} \, {\left(3 \, d^{2} x^{5} + 15 \, c d x^{4} + 20 \, c^{2} x^{3}\right)} a^{2} c^{2} + \frac{8}{3} \, {\left(2 \, d^{2} x^{9} + 9 \, c d x^{8}\right)} c^{4} + \frac{4}{105} \, {\left(35 \, d^{4} x^{9} + 315 \, c d^{3} x^{8} + 720 \, c^{2} d^{2} x^{7} + 1008 \, c^{4} x^{5} + 120 \, {\left(3 \, d^{2} x^{7} + 14 \, c d x^{6}\right)} c^{2}\right)} a c + \frac{4}{165} \, {\left(45 \, d^{4} x^{11} + 396 \, c d^{3} x^{10} + 880 \, c^{2} d^{2} x^{9}\right)} c^{2}"," ",0,"1/13*d^6*x^13 + c*d^5*x^12 + 48/11*c^2*d^4*x^11 + 32/5*c^3*d^3*x^10 + 64/7*c^6*x^7 + 64*a^3*c^3*x + 16/5*(3*d^2*x^5 + 15*c*d*x^4 + 20*c^2*x^3)*a^2*c^2 + 8/3*(2*d^2*x^9 + 9*c*d*x^8)*c^4 + 4/105*(35*d^4*x^9 + 315*c*d^3*x^8 + 720*c^2*d^2*x^7 + 1008*c^4*x^5 + 120*(3*d^2*x^7 + 14*c*d*x^6)*c^2)*a*c + 4/165*(45*d^4*x^11 + 396*c*d^3*x^10 + 880*c^2*d^2*x^9)*c^2","A",0
35,1,94,0,0.570271," ","integrate((d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^2,x, algorithm=""maxima"")","\frac{1}{9} \, d^{4} x^{9} + c d^{3} x^{8} + \frac{16}{7} \, c^{2} d^{2} x^{7} + \frac{16}{5} \, c^{4} x^{5} + 16 \, a^{2} c^{2} x + \frac{8}{15} \, {\left(3 \, d^{2} x^{5} + 15 \, c d x^{4} + 20 \, c^{2} x^{3}\right)} a c + \frac{8}{21} \, {\left(3 \, d^{2} x^{7} + 14 \, c d x^{6}\right)} c^{2}"," ",0,"1/9*d^4*x^9 + c*d^3*x^8 + 16/7*c^2*d^2*x^7 + 16/5*c^4*x^5 + 16*a^2*c^2*x + 8/15*(3*d^2*x^5 + 15*c*d*x^4 + 20*c^2*x^3)*a*c + 8/21*(3*d^2*x^7 + 14*c*d*x^6)*c^2","A",0
36,1,28,0,0.651038," ","integrate(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c,x, algorithm=""maxima"")","\frac{1}{5} \, d^{2} x^{5} + c d x^{4} + \frac{4}{3} \, c^{2} x^{3} + 4 \, a c x"," ",0,"1/5*d^2*x^5 + c*d*x^4 + 4/3*c^2*x^3 + 4*a*c*x","A",0
37,0,0,0,0.000000," ","integrate(1/(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c),x, algorithm=""maxima"")","\int \frac{1}{d^{2} x^{4} + 4 \, c d x^{3} + 4 \, c^{2} x^{2} + 4 \, a c}\,{d x}"," ",0,"integrate(1/(d^2*x^4 + 4*c*d*x^3 + 4*c^2*x^2 + 4*a*c), x)","F",0
38,0,0,0,0.000000," ","integrate(1/(d^2*x^4+4*c*d*x^3+4*c^2*x^2+4*a*c)^2,x, algorithm=""maxima"")","\frac{c d^{2} x^{3} + 3 \, c^{2} d x^{2} + 4 \, a c d + 2 \, {\left(c^{3} + 2 \, a d^{2}\right)} x}{16 \, {\left(4 \, a^{2} c^{5} + 16 \, a^{3} c^{2} d^{2} + {\left(a c^{4} d^{2} + 4 \, a^{2} c d^{4}\right)} x^{4} + 4 \, {\left(a c^{5} d + 4 \, a^{2} c^{2} d^{3}\right)} x^{3} + 4 \, {\left(a c^{6} + 4 \, a^{2} c^{3} d^{2}\right)} x^{2}\right)}} + \frac{-\frac{{\left(c d^{2} {\left(\frac{c}{d} + \frac{\sqrt{c^{2} d^{2} + 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}^{2} - 2 \, c^{2} d {\left(\frac{c}{d} + \frac{\sqrt{c^{2} d^{2} + 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)} + 2 \, c^{3} + 12 \, a d^{2}\right)} \log\left(x + \frac{c}{d} + \frac{\sqrt{c^{2} d^{2} + 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}{4 \, {\left(d^{2} {\left(\frac{c}{d} + \frac{\sqrt{c^{2} d^{2} + 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}^{3} - 3 \, c d {\left(\frac{c}{d} + \frac{\sqrt{c^{2} d^{2} + 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}^{2} + 2 \, c^{2} {\left(\frac{c}{d} + \frac{\sqrt{c^{2} d^{2} + 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}\right)}} - \frac{{\left(c d^{2} {\left(\frac{c}{d} - \frac{\sqrt{c^{2} d^{2} + 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}^{2} - 2 \, c^{2} d {\left(\frac{c}{d} - \frac{\sqrt{c^{2} d^{2} + 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)} + 2 \, c^{3} + 12 \, a d^{2}\right)} \log\left(x + \frac{c}{d} - \frac{\sqrt{c^{2} d^{2} + 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}{4 \, {\left(d^{2} {\left(\frac{c}{d} - \frac{\sqrt{c^{2} d^{2} + 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}^{3} - 3 \, c d {\left(\frac{c}{d} - \frac{\sqrt{c^{2} d^{2} + 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}^{2} + 2 \, c^{2} {\left(\frac{c}{d} - \frac{\sqrt{c^{2} d^{2} + 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}\right)}} - \frac{{\left(c d^{2} {\left(\frac{c}{d} + \frac{\sqrt{c^{2} d^{2} - 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}^{2} - 2 \, c^{2} d {\left(\frac{c}{d} + \frac{\sqrt{c^{2} d^{2} - 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)} + 2 \, c^{3} + 12 \, a d^{2}\right)} \log\left(x + \frac{c}{d} + \frac{\sqrt{c^{2} d^{2} - 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}{4 \, {\left(d^{2} {\left(\frac{c}{d} + \frac{\sqrt{c^{2} d^{2} - 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}^{3} - 3 \, c d {\left(\frac{c}{d} + \frac{\sqrt{c^{2} d^{2} - 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}^{2} + 2 \, c^{2} {\left(\frac{c}{d} + \frac{\sqrt{c^{2} d^{2} - 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}\right)}} - \frac{{\left(c d^{2} {\left(\frac{c}{d} - \frac{\sqrt{c^{2} d^{2} - 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}^{2} - 2 \, c^{2} d {\left(\frac{c}{d} - \frac{\sqrt{c^{2} d^{2} - 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)} + 2 \, c^{3} + 12 \, a d^{2}\right)} \log\left(x + \frac{c}{d} - \frac{\sqrt{c^{2} d^{2} - 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}{4 \, {\left(d^{2} {\left(\frac{c}{d} - \frac{\sqrt{c^{2} d^{2} - 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}^{3} - 3 \, c d {\left(\frac{c}{d} - \frac{\sqrt{c^{2} d^{2} - 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}^{2} + 2 \, c^{2} {\left(\frac{c}{d} - \frac{\sqrt{c^{2} d^{2} - 2 \, \sqrt{-a c} d^{3}}}{d^{2}}\right)}\right)}}}{16 \, {\left(a c^{4} + 4 \, a^{2} c d^{2}\right)}}"," ",0,"1/16*(c*d^2*x^3 + 3*c^2*d*x^2 + 4*a*c*d + 2*(c^3 + 2*a*d^2)*x)/(4*a^2*c^5 + 16*a^3*c^2*d^2 + (a*c^4*d^2 + 4*a^2*c*d^4)*x^4 + 4*(a*c^5*d + 4*a^2*c^2*d^3)*x^3 + 4*(a*c^6 + 4*a^2*c^3*d^2)*x^2) + 1/16*integrate((c*d^2*x^2 + 2*c^2*d*x + 2*c^3 + 12*a*d^2)/(d^2*x^4 + 4*c*d*x^3 + 4*c^2*x^2 + 4*a*c), x)/(a*c^4 + 4*a^2*c*d^2)","F",0
39,1,383,0,0.745410," ","integrate((8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^4,x, algorithm=""maxima"")","\frac{4096}{17} \, e^{12} x^{17} + 1024 \, d e^{11} x^{16} + \frac{8192}{5} \, d^{2} e^{10} x^{15} + \frac{8192}{7} \, d^{3} e^{9} x^{14} + \frac{4096}{13} \, d^{4} e^{8} x^{13} + \frac{1}{5} \, d^{12} x^{5} + 4096 \, a^{4} e^{8} x - \frac{4}{7} \, {\left(7 \, e^{3} x^{8} + 8 \, d e^{2} x^{7}\right)} d^{9} + \frac{1024}{5} \, {\left(16 \, e^{3} x^{5} + 20 \, d e^{2} x^{4} - 5 \, d^{3} x^{2}\right)} a^{3} e^{6} + \frac{128}{165} \, {\left(45 \, e^{6} x^{11} + 99 \, d e^{5} x^{10} + 55 \, d^{2} e^{4} x^{9}\right)} d^{6} + \frac{128}{105} \, {\left(2240 \, e^{6} x^{9} + 5040 \, d e^{5} x^{8} + 2880 \, d^{2} e^{4} x^{7} + 105 \, d^{6} x^{3} - 168 \, {\left(5 \, e^{3} x^{6} + 6 \, d e^{2} x^{5}\right)} d^{3}\right)} a^{2} e^{4} - \frac{512}{1001} \, {\left(286 \, e^{9} x^{14} + 924 \, d e^{8} x^{13} + 1001 \, d^{2} e^{7} x^{12} + 364 \, d^{3} e^{6} x^{11}\right)} d^{3} + \frac{8}{15015} \, {\left(2365440 \, e^{9} x^{13} + 7687680 \, d e^{8} x^{12} + 8386560 \, d^{2} e^{7} x^{11} + 3075072 \, d^{3} e^{6} x^{10} - 15015 \, d^{9} x^{4} + 34320 \, {\left(6 \, e^{3} x^{7} + 7 \, d e^{2} x^{6}\right)} d^{6} - 32032 \, {\left(36 \, e^{6} x^{10} + 80 \, d e^{5} x^{9} + 45 \, d^{2} e^{4} x^{8}\right)} d^{3}\right)} a e^{2}"," ",0,"4096/17*e^12*x^17 + 1024*d*e^11*x^16 + 8192/5*d^2*e^10*x^15 + 8192/7*d^3*e^9*x^14 + 4096/13*d^4*e^8*x^13 + 1/5*d^12*x^5 + 4096*a^4*e^8*x - 4/7*(7*e^3*x^8 + 8*d*e^2*x^7)*d^9 + 1024/5*(16*e^3*x^5 + 20*d*e^2*x^4 - 5*d^3*x^2)*a^3*e^6 + 128/165*(45*e^6*x^11 + 99*d*e^5*x^10 + 55*d^2*e^4*x^9)*d^6 + 128/105*(2240*e^6*x^9 + 5040*d*e^5*x^8 + 2880*d^2*e^4*x^7 + 105*d^6*x^3 - 168*(5*e^3*x^6 + 6*d*e^2*x^5)*d^3)*a^2*e^4 - 512/1001*(286*e^9*x^14 + 924*d*e^8*x^13 + 1001*d^2*e^7*x^12 + 364*d^3*e^6*x^11)*d^3 + 8/15015*(2365440*e^9*x^13 + 7687680*d*e^8*x^12 + 8386560*d^2*e^7*x^11 + 3075072*d^3*e^6*x^10 - 15015*d^9*x^4 + 34320*(6*e^3*x^7 + 7*d*e^2*x^6)*d^6 - 32032*(36*e^6*x^10 + 80*d*e^5*x^9 + 45*d^2*e^4*x^8)*d^3)*a*e^2","A",0
40,1,214,0,0.598437," ","integrate((8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^3,x, algorithm=""maxima"")","\frac{512}{13} \, e^{9} x^{13} + 128 \, d e^{8} x^{12} + \frac{1536}{11} \, d^{2} e^{7} x^{11} + \frac{256}{5} \, d^{3} e^{6} x^{10} - \frac{1}{4} \, d^{9} x^{4} + 512 \, a^{3} e^{6} x + \frac{4}{7} \, {\left(6 \, e^{3} x^{7} + 7 \, d e^{2} x^{6}\right)} d^{6} + \frac{96}{5} \, {\left(16 \, e^{3} x^{5} + 20 \, d e^{2} x^{4} - 5 \, d^{3} x^{2}\right)} a^{2} e^{4} - \frac{8}{15} \, {\left(36 \, e^{6} x^{10} + 80 \, d e^{5} x^{9} + 45 \, d^{2} e^{4} x^{8}\right)} d^{3} + \frac{8}{105} \, {\left(2240 \, e^{6} x^{9} + 5040 \, d e^{5} x^{8} + 2880 \, d^{2} e^{4} x^{7} + 105 \, d^{6} x^{3} - 168 \, {\left(5 \, e^{3} x^{6} + 6 \, d e^{2} x^{5}\right)} d^{3}\right)} a e^{2}"," ",0,"512/13*e^9*x^13 + 128*d*e^8*x^12 + 1536/11*d^2*e^7*x^11 + 256/5*d^3*e^6*x^10 - 1/4*d^9*x^4 + 512*a^3*e^6*x + 4/7*(6*e^3*x^7 + 7*d*e^2*x^6)*d^6 + 96/5*(16*e^3*x^5 + 20*d*e^2*x^4 - 5*d^3*x^2)*a^2*e^4 - 8/15*(36*e^6*x^10 + 80*d*e^5*x^9 + 45*d^2*e^4*x^8)*d^3 + 8/105*(2240*e^6*x^9 + 5040*d*e^5*x^8 + 2880*d^2*e^4*x^7 + 105*d^6*x^3 - 168*(5*e^3*x^6 + 6*d*e^2*x^5)*d^3)*a*e^2","A",0
41,1,101,0,0.606691," ","integrate((8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^2,x, algorithm=""maxima"")","\frac{64}{9} \, e^{6} x^{9} + 16 \, d e^{5} x^{8} + \frac{64}{7} \, d^{2} e^{4} x^{7} + \frac{1}{3} \, d^{6} x^{3} + 64 \, a^{2} e^{4} x - \frac{8}{15} \, {\left(5 \, e^{3} x^{6} + 6 \, d e^{2} x^{5}\right)} d^{3} + \frac{8}{5} \, {\left(16 \, e^{3} x^{5} + 20 \, d e^{2} x^{4} - 5 \, d^{3} x^{2}\right)} a e^{2}"," ",0,"64/9*e^6*x^9 + 16*d*e^5*x^8 + 64/7*d^2*e^4*x^7 + 1/3*d^6*x^3 + 64*a^2*e^4*x - 8/15*(5*e^3*x^6 + 6*d*e^2*x^5)*d^3 + 8/5*(16*e^3*x^5 + 20*d*e^2*x^4 - 5*d^3*x^2)*a*e^2","A",0
42,1,33,0,0.667080," ","integrate(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2,x, algorithm=""maxima"")","\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,"8/5*e^3*x^5 + 2*d*e^2*x^4 - 1/2*d^3*x^2 + 8*a*e^2*x","A",0
43,0,0,0,0.000000," ","integrate(1/(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2),x, algorithm=""maxima"")","\int \frac{1}{8 \, e^{3} x^{4} + 8 \, d e^{2} x^{3} - d^{3} x + 8 \, a e^{2}}\,{d x}"," ",0,"integrate(1/(8*e^3*x^4 + 8*d*e^2*x^3 - d^3*x + 8*a*e^2), x)","F",0
44,-1,0,0,0.000000," ","integrate(1/(8*e^3*x^4+8*d*e^2*x^3-d^3*x+8*a*e^2)^2,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
45,1,84,0,1.247697," ","integrate((8*x^4-x^3+8*x+8)^4,x, algorithm=""maxima"")","\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,"4096/17*x^17 - 128*x^16 + 128/5*x^15 + 1168*x^14 + 10241/13*x^13 - 448*x^12 + 25312/11*x^11 + 21488/5*x^10 + 1408*x^9 + 1376*x^8 + 6784*x^7 + 7168*x^6 + 14336/5*x^5 + 3584*x^4 + 8192*x^3 + 8192*x^2 + 4096*x","A",0
46,1,64,0,0.938577," ","integrate((8*x^4-x^3+8*x+8)^3,x, algorithm=""maxima"")","\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,"512/13*x^13 - 16*x^12 + 24/11*x^11 + 307/2*x^10 + 128*x^9 - 45*x^8 + 1560/7*x^7 + 480*x^6 + 1152/5*x^5 + 80*x^4 + 512*x^3 + 768*x^2 + 512*x","A",0
47,1,44,0,0.883793," ","integrate((8*x^4-x^3+8*x+8)^2,x, algorithm=""maxima"")","\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,"64/9*x^9 - 2*x^8 + 1/7*x^7 + 64/3*x^6 + 112/5*x^5 - 4*x^4 + 64/3*x^3 + 64*x^2 + 64*x","A",0
48,1,19,0,0.910956," ","integrate(8*x^4-x^3+8*x+8,x, algorithm=""maxima"")","\frac{8}{5} \, x^{5} - \frac{1}{4} \, x^{4} + 4 \, x^{2} + 8 \, x"," ",0,"8/5*x^5 - 1/4*x^4 + 4*x^2 + 8*x","A",0
49,0,0,0,0.000000," ","integrate(1/(8*x^4-x^3+8*x+8),x, algorithm=""maxima"")","\int \frac{1}{8 \, x^{4} - x^{3} + 8 \, x + 8}\,{d x}"," ",0,"integrate(1/(8*x^4 - x^3 + 8*x + 8), x)","F",0
50,0,0,0,0.000000," ","integrate(1/(8*x^4-x^3+8*x+8)^2,x, algorithm=""maxima"")","\frac{784 \, x^{3} - 1146 \, x^{2} + 1539 \, x + 544}{43848 \, {\left(8 \, x^{4} - x^{3} + 8 \, x + 8\right)}} + \frac{1}{21924} \, \int \frac{392 \, x^{2} - 1097 \, x + 2243}{8 \, x^{4} - x^{3} + 8 \, x + 8}\,{d x}"," ",0,"1/43848*(784*x^3 - 1146*x^2 + 1539*x + 544)/(8*x^4 - x^3 + 8*x + 8) + 1/21924*integrate((392*x^2 - 1097*x + 2243)/(8*x^4 - x^3 + 8*x + 8), x)","F",0
51,1,77,0,0.570286," ","integrate((4*x^4+4*x^2+4*x+1)^4,x, algorithm=""maxima"")","\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,"256/17*x^17 + 1024/15*x^15 + 512/7*x^14 + 1792/13*x^13 + 256*x^12 + 3328/11*x^11 + 384*x^10 + 4192/9*x^9 + 448*x^8 + 2752/7*x^7 + 992/3*x^6 + 1136/5*x^5 + 112*x^4 + 112/3*x^3 + 8*x^2 + x","A",0
52,1,57,0,0.455380," ","integrate((4*x^4+4*x^2+4*x+1)^3,x, algorithm=""maxima"")","\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,"64/13*x^13 + 192/11*x^11 + 96/5*x^10 + 80/3*x^9 + 48*x^8 + 352/7*x^7 + 48*x^6 + 252/5*x^5 + 40*x^4 + 20*x^3 + 6*x^2 + x","A",0
53,1,37,0,0.567880," ","integrate((4*x^4+4*x^2+4*x+1)^2,x, algorithm=""maxima"")","\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,"16/9*x^9 + 32/7*x^7 + 16/3*x^6 + 24/5*x^5 + 8*x^4 + 8*x^3 + 4*x^2 + x","A",0
54,1,17,0,0.569494," ","integrate(4*x^4+4*x^2+4*x+1,x, algorithm=""maxima"")","\frac{4}{5} \, x^{5} + \frac{4}{3} \, x^{3} + 2 \, x^{2} + x"," ",0,"4/5*x^5 + 4/3*x^3 + 2*x^2 + x","A",0
55,0,0,0,0.000000," ","integrate(1/(4*x^4+4*x^2+4*x+1),x, algorithm=""maxima"")","\int \frac{1}{4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1}\,{d x}"," ",0,"integrate(1/(4*x^4 + 4*x^2 + 4*x + 1), x)","F",0
56,0,0,0,0.000000," ","integrate(1/(4*x^4+4*x^2+4*x+1)^2,x, algorithm=""maxima"")","\frac{36 \, x^{3} - 16 \, x^{2} + 42 \, x + 19}{20 \, {\left(4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1\right)}} + \frac{1}{10} \, \int \frac{18 \, x^{2} - 16 \, x + 27}{4 \, x^{4} + 4 \, x^{2} + 4 \, x + 1}\,{d x}"," ",0,"1/20*(36*x^3 - 16*x^2 + 42*x + 19)/(4*x^4 + 4*x^2 + 4*x + 1) + 1/10*integrate((18*x^2 - 16*x + 27)/(4*x^4 + 4*x^2 + 4*x + 1), x)","F",0
57,1,84,0,0.661074," ","integrate((8*x^4-15*x^3+8*x^2+24*x+8)^4,x, algorithm=""maxima"")","\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,"4096/17*x^17 - 1920*x^16 + 102784/15*x^15 - 75504/7*x^14 - 12095/13*x^13 + 31128*x^12 - 331040/11*x^11 - 169584/5*x^10 + 641152/9*x^9 + 36384*x^8 - 566912/7*x^7 - 30720*x^6 + 538624/5*x^5 + 139776*x^4 + 237568/3*x^3 + 24576*x^2 + 4096*x","A",0
58,1,64,0,0.645844," ","integrate((8*x^4-15*x^3+8*x^2+24*x+8)^3,x, algorithm=""maxima"")","\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,"512/13*x^13 - 240*x^12 + 6936/11*x^11 - 4527/10*x^10 - 2936/3*x^9 + 2097*x^8 + 5528/7*x^7 - 2976*x^6 - 384/5*x^5 + 5040*x^4 + 5120*x^3 + 2304*x^2 + 512*x","A",0
59,1,44,0,0.609925," ","integrate((8*x^4-15*x^3+8*x^2+24*x+8)^2,x, algorithm=""maxima"")","\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,"64/9*x^9 - 30*x^8 + 353/7*x^7 + 24*x^6 - 528/5*x^5 + 36*x^4 + 704/3*x^3 + 192*x^2 + 64*x","A",0
60,1,24,0,0.462069," ","integrate(8*x^4-15*x^3+8*x^2+24*x+8,x, algorithm=""maxima"")","\frac{8}{5} \, x^{5} - \frac{15}{4} \, x^{4} + \frac{8}{3} \, x^{3} + 12 \, x^{2} + 8 \, x"," ",0,"8/5*x^5 - 15/4*x^4 + 8/3*x^3 + 12*x^2 + 8*x","A",0
61,0,0,0,0.000000," ","integrate(1/(8*x^4-15*x^3+8*x^2+24*x+8),x, algorithm=""maxima"")","\int \frac{1}{8 \, x^{4} - 15 \, x^{3} + 8 \, x^{2} + 24 \, x + 8}\,{d x}"," ",0,"integrate(1/(8*x^4 - 15*x^3 + 8*x^2 + 24*x + 8), x)","F",0
62,0,0,0,0.000000," ","integrate(1/(8*x^4-15*x^3+8*x^2+24*x+8)^2,x, algorithm=""maxima"")","\frac{39280 \, x^{3} - 94314 \, x^{2} + 89033 \, x + 72888}{161304 \, {\left(8 \, x^{4} - 15 \, x^{3} + 8 \, x^{2} + 24 \, x + 8\right)}} + \frac{1}{80652} \, \int \frac{19640 \, x^{2} - 57489 \, x + 74897}{8 \, x^{4} - 15 \, x^{3} + 8 \, x^{2} + 24 \, x + 8}\,{d x}"," ",0,"1/161304*(39280*x^3 - 94314*x^2 + 89033*x + 72888)/(8*x^4 - 15*x^3 + 8*x^2 + 24*x + 8) + 1/80652*integrate((19640*x^2 - 57489*x + 74897)/(8*x^4 - 15*x^3 + 8*x^2 + 24*x + 8), x)","F",0
63,1,592,0,0.682894," ","integrate((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, algorithm=""maxima"")","\frac{1}{16} \, b^{15} x^{16} + a b^{14} x^{15} + \frac{75}{14} \, a^{2} b^{13} x^{14} + \frac{125}{13} \, a^{3} b^{12} x^{13} + 100 \, a^{6} b^{9} x^{10} + \frac{1000}{7} \, a^{9} b^{6} x^{7} + \frac{125}{4} \, a^{12} b^{3} x^{4} + a^{15} x + \frac{1}{2} \, {\left(b^{5} x^{6} + 6 \, a b^{4} x^{5} + 15 \, a^{2} b^{3} x^{4} + 20 \, a^{3} b^{2} x^{3} + 15 \, a^{4} b x^{2}\right)} a^{10} + \frac{25}{56} \, {\left(21 \, b^{5} x^{8} + 120 \, a b^{4} x^{7} + 280 \, a^{2} b^{3} x^{6} + 336 \, a^{3} b^{2} x^{5}\right)} a^{8} b^{2} + \frac{5}{3} \, {\left(18 \, b^{5} x^{10} + 100 \, a b^{4} x^{9} + 225 \, a^{2} b^{3} x^{8}\right)} a^{6} b^{4} + \frac{25}{11} \, {\left(11 \, b^{5} x^{12} + 60 \, a b^{4} x^{11}\right)} a^{4} b^{6} + \frac{1}{462} \, {\left(126 \, b^{10} x^{11} + 1386 \, a b^{9} x^{10} + 3850 \, a^{2} b^{8} x^{9} + 19800 \, a^{4} b^{6} x^{7} + 27720 \, a^{6} b^{4} x^{5} + 11550 \, a^{8} b^{2} x^{3} + 330 \, {\left(6 \, b^{5} x^{7} + 35 \, a b^{4} x^{6} + 84 \, a^{2} b^{3} x^{5} + 105 \, a^{3} b^{2} x^{4}\right)} a^{4} b + 165 \, {\left(21 \, b^{5} x^{8} + 120 \, a b^{4} x^{7} + 280 \, a^{2} b^{3} x^{6}\right)} a^{3} b^{2} + 385 \, {\left(8 \, b^{5} x^{9} + 45 \, a b^{4} x^{8}\right)} a^{2} b^{3}\right)} a^{5} + \frac{5}{308} \, {\left(77 \, b^{10} x^{12} + 840 \, a b^{9} x^{11} + 4158 \, a^{2} b^{8} x^{10} + 12320 \, a^{3} b^{7} x^{9} + 23100 \, a^{4} b^{6} x^{8} + 26400 \, a^{5} b^{5} x^{7} + 15400 \, a^{6} b^{4} x^{6}\right)} a^{4} b + \frac{5}{429} \, {\left(198 \, b^{10} x^{13} + 2145 \, a b^{9} x^{12} + 10530 \, a^{2} b^{8} x^{11} + 25740 \, a^{3} b^{7} x^{10} + 28600 \, a^{4} b^{6} x^{9}\right)} a^{3} b^{2} + \frac{5}{182} \, {\left(78 \, b^{10} x^{14} + 840 \, a b^{9} x^{13} + 2275 \, a^{2} b^{8} x^{12}\right)} a^{2} b^{3}"," ",0,"1/16*b^15*x^16 + a*b^14*x^15 + 75/14*a^2*b^13*x^14 + 125/13*a^3*b^12*x^13 + 100*a^6*b^9*x^10 + 1000/7*a^9*b^6*x^7 + 125/4*a^12*b^3*x^4 + a^15*x + 1/2*(b^5*x^6 + 6*a*b^4*x^5 + 15*a^2*b^3*x^4 + 20*a^3*b^2*x^3 + 15*a^4*b*x^2)*a^10 + 25/56*(21*b^5*x^8 + 120*a*b^4*x^7 + 280*a^2*b^3*x^6 + 336*a^3*b^2*x^5)*a^8*b^2 + 5/3*(18*b^5*x^10 + 100*a*b^4*x^9 + 225*a^2*b^3*x^8)*a^6*b^4 + 25/11*(11*b^5*x^12 + 60*a*b^4*x^11)*a^4*b^6 + 1/462*(126*b^10*x^11 + 1386*a*b^9*x^10 + 3850*a^2*b^8*x^9 + 19800*a^4*b^6*x^7 + 27720*a^6*b^4*x^5 + 11550*a^8*b^2*x^3 + 330*(6*b^5*x^7 + 35*a*b^4*x^6 + 84*a^2*b^3*x^5 + 105*a^3*b^2*x^4)*a^4*b + 165*(21*b^5*x^8 + 120*a*b^4*x^7 + 280*a^2*b^3*x^6)*a^3*b^2 + 385*(8*b^5*x^9 + 45*a*b^4*x^8)*a^2*b^3)*a^5 + 5/308*(77*b^10*x^12 + 840*a*b^9*x^11 + 4158*a^2*b^8*x^10 + 12320*a^3*b^7*x^9 + 23100*a^4*b^6*x^8 + 26400*a^5*b^5*x^7 + 15400*a^6*b^4*x^6)*a^4*b + 5/429*(198*b^10*x^13 + 2145*a*b^9*x^12 + 10530*a^2*b^8*x^11 + 25740*a^3*b^7*x^10 + 28600*a^4*b^6*x^9)*a^3*b^2 + 5/182*(78*b^10*x^14 + 840*a*b^9*x^13 + 2275*a^2*b^8*x^12)*a^2*b^3","B",0
64,1,228,0,0.491190," ","integrate((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, algorithm=""maxima"")","\frac{1}{11} \, b^{10} x^{11} + a b^{9} x^{10} + \frac{25}{9} \, a^{2} b^{8} x^{9} + \frac{100}{7} \, a^{4} b^{6} x^{7} + 20 \, a^{6} b^{4} x^{5} + \frac{25}{3} \, a^{8} b^{2} x^{3} + a^{10} x + \frac{1}{3} \, {\left(b^{5} x^{6} + 6 \, a b^{4} x^{5} + 15 \, a^{2} b^{3} x^{4} + 20 \, a^{3} b^{2} x^{3} + 15 \, a^{4} b x^{2}\right)} a^{5} + \frac{5}{21} \, {\left(6 \, b^{5} x^{7} + 35 \, a b^{4} x^{6} + 84 \, a^{2} b^{3} x^{5} + 105 \, a^{3} b^{2} x^{4}\right)} a^{4} b + \frac{5}{42} \, {\left(21 \, b^{5} x^{8} + 120 \, a b^{4} x^{7} + 280 \, a^{2} b^{3} x^{6}\right)} a^{3} b^{2} + \frac{5}{18} \, {\left(8 \, b^{5} x^{9} + 45 \, a b^{4} x^{8}\right)} a^{2} b^{3}"," ",0,"1/11*b^10*x^11 + a*b^9*x^10 + 25/9*a^2*b^8*x^9 + 100/7*a^4*b^6*x^7 + 20*a^6*b^4*x^5 + 25/3*a^8*b^2*x^3 + a^10*x + 1/3*(b^5*x^6 + 6*a*b^4*x^5 + 15*a^2*b^3*x^4 + 20*a^3*b^2*x^3 + 15*a^4*b*x^2)*a^5 + 5/21*(6*b^5*x^7 + 35*a*b^4*x^6 + 84*a^2*b^3*x^5 + 105*a^3*b^2*x^4)*a^4*b + 5/42*(21*b^5*x^8 + 120*a*b^4*x^7 + 280*a^2*b^3*x^6)*a^3*b^2 + 5/18*(8*b^5*x^9 + 45*a*b^4*x^8)*a^2*b^3","B",0
65,1,53,0,0.457599," ","integrate(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, algorithm=""maxima"")","\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,"1/6*b^5*x^6 + a*b^4*x^5 + 5/2*a^2*b^3*x^4 + 10/3*a^3*b^2*x^3 + 5/2*a^4*b*x^2 + a^5*x","B",0
66,1,46,0,0.690198," ","integrate(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, algorithm=""maxima"")","-\frac{1}{4 \, {\left(b^{5} x^{4} + 4 \, a b^{4} x^{3} + 6 \, a^{2} b^{3} x^{2} + 4 \, a^{3} b^{2} x + a^{4} b\right)}}"," ",0,"-1/4/(b^5*x^4 + 4*a*b^4*x^3 + 6*a^2*b^3*x^2 + 4*a^3*b^2*x + a^4*b)","B",0
67,1,101,0,0.602456," ","integrate(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, algorithm=""maxima"")","-\frac{1}{9 \, {\left(b^{10} x^{9} + 9 \, a b^{9} x^{8} + 36 \, a^{2} b^{8} x^{7} + 84 \, a^{3} b^{7} x^{6} + 126 \, a^{4} b^{6} x^{5} + 126 \, a^{5} b^{5} x^{4} + 84 \, a^{6} b^{4} x^{3} + 36 \, a^{7} b^{3} x^{2} + 9 \, a^{8} b^{2} x + a^{9} b\right)}}"," ",0,"-1/9/(b^10*x^9 + 9*a*b^9*x^8 + 36*a^2*b^8*x^7 + 84*a^3*b^7*x^6 + 126*a^4*b^6*x^5 + 126*a^5*b^5*x^4 + 84*a^6*b^4*x^3 + 36*a^7*b^3*x^2 + 9*a^8*b^2*x + a^9*b)","B",0
68,1,156,0,0.543924," ","integrate(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, algorithm=""maxima"")","-\frac{1}{14 \, {\left(b^{15} x^{14} + 14 \, a b^{14} x^{13} + 91 \, a^{2} b^{13} x^{12} + 364 \, a^{3} b^{12} x^{11} + 1001 \, a^{4} b^{11} x^{10} + 2002 \, a^{5} b^{10} x^{9} + 3003 \, a^{6} b^{9} x^{8} + 3432 \, a^{7} b^{8} x^{7} + 3003 \, a^{8} b^{7} x^{6} + 2002 \, a^{9} b^{6} x^{5} + 1001 \, a^{10} b^{5} x^{4} + 364 \, a^{11} b^{4} x^{3} + 91 \, a^{12} b^{3} x^{2} + 14 \, a^{13} b^{2} x + a^{14} b\right)}}"," ",0,"-1/14/(b^15*x^14 + 14*a*b^14*x^13 + 91*a^2*b^13*x^12 + 364*a^3*b^12*x^11 + 1001*a^4*b^11*x^10 + 2002*a^5*b^10*x^9 + 3003*a^6*b^9*x^8 + 3432*a^7*b^8*x^7 + 3003*a^8*b^7*x^6 + 2002*a^9*b^6*x^5 + 1001*a^10*b^5*x^4 + 364*a^11*b^4*x^3 + 91*a^12*b^3*x^2 + 14*a^13*b^2*x + a^14*b)","B",0
69,1,30,0,1.112629," ","integrate(1/(x^5+x^3+x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{3} \, \log\left(x^{2} - x + 1\right) + \frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{6} \, \log\left(x + 1\right)"," ",0,"1/2*arctan(x) - 1/3*log(x^2 - x + 1) + 1/4*log(x^2 + 1) + 1/6*log(x + 1)","A",0
70,1,64,0,0.487639," ","integrate((-16*x^6+32*x^4-19*x^2+3)^4,x, algorithm=""maxima"")","\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,"65536/25*x^25 - 524288/23*x^23 + 1884160/21*x^21 - 4014080/19*x^19 + 5633536/17*x^17 - 1094656/3*x^15 + 3764416/13*x^13 - 1841600/11*x^11 + 634321/9*x^9 - 149700/7*x^7 + 4590*x^5 - 684*x^3 + 81*x","A",0
71,1,49,0,0.726846," ","integrate((-16*x^6+32*x^4-19*x^2+3)^3,x, algorithm=""maxima"")","-\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,"-4096/19*x^19 + 24576/17*x^17 - 21248/5*x^15 + 93440/13*x^13 - 84912/11*x^11 + 16448/3*x^9 - 2605*x^7 + 4113/5*x^5 - 171*x^3 + 27*x","A",0
72,1,34,0,0.748855," ","integrate((-16*x^6+32*x^4-19*x^2+3)^2,x, algorithm=""maxima"")","\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,"256/13*x^13 - 1024/11*x^11 + 544/3*x^9 - 1312/7*x^7 + 553/5*x^5 - 38*x^3 + 9*x","A",0
73,1,19,0,0.639310," ","integrate(-16*x^6+32*x^4-19*x^2+3,x, algorithm=""maxima"")","-\frac{16}{7} \, x^{7} + \frac{32}{5} \, x^{5} - \frac{19}{3} \, x^{3} + 3 \, x"," ",0,"-16/7*x^7 + 32/5*x^5 - 19/3*x^3 + 3*x","A",0
74,1,54,0,1.054973," ","integrate(1/(-16*x^6+32*x^4-19*x^2+3),x, algorithm=""maxima"")","\frac{1}{6} \, \sqrt{3} \log\left(\frac{2 \, x - \sqrt{3}}{2 \, x + \sqrt{3}}\right) + \frac{1}{6} \, \log\left(2 \, x + 1\right) - \frac{1}{6} \, \log\left(2 \, x - 1\right) + \frac{1}{6} \, \log\left(x + 1\right) - \frac{1}{6} \, \log\left(x - 1\right)"," ",0,"1/6*sqrt(3)*log((2*x - sqrt(3))/(2*x + sqrt(3))) + 1/6*log(2*x + 1) - 1/6*log(2*x - 1) + 1/6*log(x + 1) - 1/6*log(x - 1)","B",0
75,1,89,0,1.289229," ","integrate(1/(-16*x^6+32*x^4-19*x^2+3)^2,x, algorithm=""maxima"")","\frac{5}{18} \, \sqrt{3} \log\left(\frac{2 \, x - \sqrt{3}}{2 \, x + \sqrt{3}}\right) - \frac{80 \, x^{5} - 104 \, x^{3} + 27 \, x}{18 \, {\left(16 \, x^{6} - 32 \, x^{4} + 19 \, x^{2} - 3\right)}} - \frac{7}{54} \, \log\left(2 \, x + 1\right) + \frac{7}{54} \, \log\left(2 \, x - 1\right) + \frac{67}{108} \, \log\left(x + 1\right) - \frac{67}{108} \, \log\left(x - 1\right)"," ",0,"5/18*sqrt(3)*log((2*x - sqrt(3))/(2*x + sqrt(3))) - 1/18*(80*x^5 - 104*x^3 + 27*x)/(16*x^6 - 32*x^4 + 19*x^2 - 3) - 7/54*log(2*x + 1) + 7/54*log(2*x - 1) + 67/108*log(x + 1) - 67/108*log(x - 1)","A",0
76,1,119,0,1.319921," ","integrate(1/(-16*x^6+32*x^4-19*x^2+3)^3,x, algorithm=""maxima"")","\frac{67}{36} \, \sqrt{3} \log\left(\frac{2 \, x - \sqrt{3}}{2 \, x + \sqrt{3}}\right) - \frac{36608 \, x^{11} - 111360 \, x^{9} + 125280 \, x^{7} - 63680 \, x^{5} + 14331 \, x^{3} - 1197 \, x}{216 \, {\left(256 \, x^{12} - 1024 \, x^{10} + 1632 \, x^{8} - 1312 \, x^{6} + 553 \, x^{4} - 114 \, x^{2} + 9\right)}} + \frac{67}{324} \, \log\left(2 \, x + 1\right) - \frac{67}{324} \, \log\left(2 \, x - 1\right) + \frac{3913}{1296} \, \log\left(x + 1\right) - \frac{3913}{1296} \, \log\left(x - 1\right)"," ",0,"67/36*sqrt(3)*log((2*x - sqrt(3))/(2*x + sqrt(3))) - 1/216*(36608*x^11 - 111360*x^9 + 125280*x^7 - 63680*x^5 + 14331*x^3 - 1197*x)/(256*x^12 - 1024*x^10 + 1632*x^8 - 1312*x^6 + 553*x^4 - 114*x^2 + 9) + 67/324*log(2*x + 1) - 67/324*log(2*x - 1) + 3913/1296*log(x + 1) - 3913/1296*log(x - 1)","A",0
77,1,114,0,1.271288," ","integrate(1/(x^6-7*x^4+7*x^2-1)^2,x, algorithm=""maxima"")","-\frac{3}{1024} \, \sqrt{2} \log\left(\frac{x - \sqrt{2} + 1}{x + \sqrt{2} + 1}\right) - \frac{3}{1024} \, \sqrt{2} \log\left(\frac{x - \sqrt{2} - 1}{x + \sqrt{2} - 1}\right) - \frac{21 \, x^{5} - 140 \, x^{3} + 103 \, x}{128 \, {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)}} - \frac{1}{256} \, \log\left(x^{2} + 2 \, x - 1\right) + \frac{1}{256} \, \log\left(x^{2} - 2 \, x - 1\right) + \frac{5}{64} \, \log\left(x + 1\right) - \frac{5}{64} \, \log\left(x - 1\right)"," ",0,"-3/1024*sqrt(2)*log((x - sqrt(2) + 1)/(x + sqrt(2) + 1)) - 3/1024*sqrt(2)*log((x - sqrt(2) - 1)/(x + sqrt(2) - 1)) - 1/128*(21*x^5 - 140*x^3 + 103*x)/(x^6 - 7*x^4 + 7*x^2 - 1) - 1/256*log(x^2 + 2*x - 1) + 1/256*log(x^2 - 2*x - 1) + 5/64*log(x + 1) - 5/64*log(x - 1)","A",0
78,1,81,0,1.458319," ","integrate(x^3/(c+(b*x+a)^2),x, algorithm=""maxima"")","\frac{b x^{2} - 4 \, a x}{2 \, b^{3}} + \frac{{\left(3 \, a^{2} - c\right)} \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right)}{2 \, b^{4}} - \frac{{\left(a^{3} - 3 \, a c\right)} \arctan\left(\frac{b^{2} x + a b}{b \sqrt{c}}\right)}{b^{4} \sqrt{c}}"," ",0,"1/2*(b*x^2 - 4*a*x)/b^3 + 1/2*(3*a^2 - c)*log(b^2*x^2 + 2*a*b*x + a^2 + c)/b^4 - (a^3 - 3*a*c)*arctan((b^2*x + a*b)/(b*sqrt(c)))/(b^4*sqrt(c))","A",0
79,1,61,0,1.648089," ","integrate(x^2/(c+(b*x+a)^2),x, algorithm=""maxima"")","\frac{x}{b^{2}} - \frac{a \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right)}{b^{3}} + \frac{{\left(a^{2} - c\right)} \arctan\left(\frac{b^{2} x + a b}{b \sqrt{c}}\right)}{b^{3} \sqrt{c}}"," ",0,"x/b^2 - a*log(b^2*x^2 + 2*a*b*x + a^2 + c)/b^3 + (a^2 - c)*arctan((b^2*x + a*b)/(b*sqrt(c)))/(b^3*sqrt(c))","A",0
80,1,50,0,1.362344," ","integrate(x/(c+(b*x+a)^2),x, algorithm=""maxima"")","-\frac{a \arctan\left(\frac{b^{2} x + a b}{b \sqrt{c}}\right)}{b^{2} \sqrt{c}} + \frac{\log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right)}{2 \, b^{2}}"," ",0,"-a*arctan((b^2*x + a*b)/(b*sqrt(c)))/(b^2*sqrt(c)) + 1/2*log(b^2*x^2 + 2*a*b*x + a^2 + c)/b^2","A",0
81,1,24,0,1.520064," ","integrate(1/(c+(b*x+a)^2),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{b^{2} x + a b}{b \sqrt{c}}\right)}{b \sqrt{c}}"," ",0,"arctan((b^2*x + a*b)/(b*sqrt(c)))/(b*sqrt(c))","A",0
82,1,68,0,1.517646," ","integrate(1/x/(c+(b*x+a)^2),x, algorithm=""maxima"")","-\frac{a \arctan\left(\frac{b^{2} x + a b}{b \sqrt{c}}\right)}{{\left(a^{2} + c\right)} \sqrt{c}} - \frac{\log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right)}{2 \, {\left(a^{2} + c\right)}} + \frac{\log\left(x\right)}{a^{2} + c}"," ",0,"-a*arctan((b^2*x + a*b)/(b*sqrt(c)))/((a^2 + c)*sqrt(c)) - 1/2*log(b^2*x^2 + 2*a*b*x + a^2 + c)/(a^2 + c) + log(x)/(a^2 + c)","A",0
83,1,123,0,1.590937," ","integrate(1/x^2/(c+(b*x+a)^2),x, algorithm=""maxima"")","\frac{a b \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right)}{a^{4} + 2 \, a^{2} c + c^{2}} - \frac{2 \, a b \log\left(x\right)}{a^{4} + 2 \, a^{2} c + c^{2}} + \frac{{\left(a^{2} b^{2} - b^{2} c\right)} \arctan\left(\frac{b^{2} x + a b}{b \sqrt{c}}\right)}{{\left(a^{4} + 2 \, a^{2} c + c^{2}\right)} b \sqrt{c}} - \frac{1}{{\left(a^{2} + c\right)} x}"," ",0,"a*b*log(b^2*x^2 + 2*a*b*x + a^2 + c)/(a^4 + 2*a^2*c + c^2) - 2*a*b*log(x)/(a^4 + 2*a^2*c + c^2) + (a^2*b^2 - b^2*c)*arctan((b^2*x + a*b)/(b*sqrt(c)))/((a^4 + 2*a^2*c + c^2)*b*sqrt(c)) - 1/((a^2 + c)*x)","A",0
84,1,197,0,1.611829," ","integrate(1/x^3/(c+(b*x+a)^2),x, algorithm=""maxima"")","-\frac{{\left(3 \, a^{2} b^{2} - b^{2} c\right)} \log\left(b^{2} x^{2} + 2 \, a b x + a^{2} + c\right)}{2 \, {\left(a^{6} + 3 \, a^{4} c + 3 \, a^{2} c^{2} + c^{3}\right)}} + \frac{{\left(3 \, a^{2} b^{2} - b^{2} c\right)} \log\left(x\right)}{a^{6} + 3 \, a^{4} c + 3 \, a^{2} c^{2} + c^{3}} - \frac{{\left(a^{3} b^{3} - 3 \, a b^{3} c\right)} \arctan\left(\frac{b^{2} x + a b}{b \sqrt{c}}\right)}{{\left(a^{6} + 3 \, a^{4} c + 3 \, a^{2} c^{2} + c^{3}\right)} b \sqrt{c}} + \frac{4 \, a b x - a^{2} - c}{2 \, {\left(a^{4} + 2 \, a^{2} c + c^{2}\right)} x^{2}}"," ",0,"-1/2*(3*a^2*b^2 - b^2*c)*log(b^2*x^2 + 2*a*b*x + a^2 + c)/(a^6 + 3*a^4*c + 3*a^2*c^2 + c^3) + (3*a^2*b^2 - b^2*c)*log(x)/(a^6 + 3*a^4*c + 3*a^2*c^2 + c^3) - (a^3*b^3 - 3*a*b^3*c)*arctan((b^2*x + a*b)/(b*sqrt(c)))/((a^6 + 3*a^4*c + 3*a^2*c^2 + c^3)*b*sqrt(c)) + 1/2*(4*a*b*x - a^2 - c)/((a^4 + 2*a^2*c + c^2)*x^2)","A",0
85,1,30,0,1.561426," ","integrate(1/(a+b*(d*x+c)^2),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{b d^{2} x + b c d}{\sqrt{a b} d}\right)}{\sqrt{a b} d}"," ",0,"arctan((b*d^2*x + b*c*d)/(sqrt(a*b)*d))/(sqrt(a*b)*d)","A",0
86,1,75,0,1.560085," ","integrate(1/(a+b*(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{d x + c}{2 \, {\left(a b d^{3} x^{2} + 2 \, a b c d^{2} x + {\left(a b c^{2} + a^{2}\right)} d\right)}} + \frac{\arctan\left(\frac{b d^{2} x + b c d}{\sqrt{a b} d}\right)}{2 \, \sqrt{a b} a d}"," ",0,"1/2*(d*x + c)/(a*b*d^3*x^2 + 2*a*b*c*d^2*x + (a*b*c^2 + a^2)*d) + 1/2*arctan((b*d^2*x + b*c*d)/(sqrt(a*b)*d))/(sqrt(a*b)*a*d)","A",0
87,1,184,0,1.585472," ","integrate(1/(a+b*(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{3 \, b d^{3} x^{3} + 9 \, b c d^{2} x^{2} + 3 \, b c^{3} + {\left(9 \, b c^{2} + 5 \, a\right)} d x + 5 \, a c}{8 \, {\left(a^{2} b^{2} d^{5} x^{4} + 4 \, a^{2} b^{2} c d^{4} x^{3} + 2 \, {\left(3 \, a^{2} b^{2} c^{2} + a^{3} b\right)} d^{3} x^{2} + 4 \, {\left(a^{2} b^{2} c^{3} + a^{3} b c\right)} d^{2} x + {\left(a^{2} b^{2} c^{4} + 2 \, a^{3} b c^{2} + a^{4}\right)} d\right)}} + \frac{3 \, \arctan\left(\frac{b d^{2} x + b c d}{\sqrt{a b} d}\right)}{8 \, \sqrt{a b} a^{2} d}"," ",0,"1/8*(3*b*d^3*x^3 + 9*b*c*d^2*x^2 + 3*b*c^3 + (9*b*c^2 + 5*a)*d*x + 5*a*c)/(a^2*b^2*d^5*x^4 + 4*a^2*b^2*c*d^4*x^3 + 2*(3*a^2*b^2*c^2 + a^3*b)*d^3*x^2 + 4*(a^2*b^2*c^3 + a^3*b*c)*d^2*x + (a^2*b^2*c^4 + 2*a^3*b*c^2 + a^4)*d) + 3/8*arctan((b*d^2*x + b*c*d)/(sqrt(a*b)*d))/(sqrt(a*b)*a^2*d)","B",0
88,1,66,0,1.403650," ","integrate(1/(b*(d*x+c)^2+(-a)^(1/2)),x, algorithm=""maxima"")","\frac{\log\left(\frac{b d^{2} x + b c d - \sqrt{-\sqrt{-a} b} d}{b d^{2} x + b c d + \sqrt{-\sqrt{-a} b} d}\right)}{2 \, \sqrt{-\sqrt{-a} b} d}"," ",0,"1/2*log((b*d^2*x + b*c*d - sqrt(-sqrt(-a)*b)*d)/(b*d^2*x + b*c*d + sqrt(-sqrt(-a)*b)*d))/(sqrt(-sqrt(-a)*b)*d)","B",0
89,1,18,0,1.569218," ","integrate(1/(1+(d*x+c)^2),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{d^{2} x + c d}{d}\right)}{d}"," ",0,"arctan((d^2*x + c*d)/d)/d","A",0
90,1,51,0,1.315080," ","integrate(1/(1+(d*x+c)^2)^2,x, algorithm=""maxima"")","\frac{d x + c}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + {\left(c^{2} + 1\right)} d\right)}} + \frac{\arctan\left(\frac{d^{2} x + c d}{d}\right)}{2 \, d}"," ",0,"1/2*(d*x + c)/(d^3*x^2 + 2*c*d^2*x + (c^2 + 1)*d) + 1/2*arctan((d^2*x + c*d)/d)/d","A",0
91,1,115,0,1.505294," ","integrate(1/(1+(d*x+c)^2)^3,x, algorithm=""maxima"")","\frac{3 \, d^{3} x^{3} + 9 \, c d^{2} x^{2} + 3 \, c^{3} + {\left(9 \, c^{2} + 5\right)} d x + 5 \, c}{8 \, {\left(d^{5} x^{4} + 4 \, c d^{4} x^{3} + 2 \, {\left(3 \, c^{2} + 1\right)} d^{3} x^{2} + 4 \, {\left(c^{3} + c\right)} d^{2} x + {\left(c^{4} + 2 \, c^{2} + 1\right)} d\right)}} + \frac{3 \, \arctan\left(\frac{d^{2} x + c d}{d}\right)}{8 \, d}"," ",0,"1/8*(3*d^3*x^3 + 9*c*d^2*x^2 + 3*c^3 + (9*c^2 + 5)*d*x + 5*c)/(d^5*x^4 + 4*c*d^4*x^3 + 2*(3*c^2 + 1)*d^3*x^2 + 4*(c^3 + c)*d^2*x + (c^4 + 2*c^2 + 1)*d) + 3/8*arctan((d^2*x + c*d)/d)/d","B",0
92,1,25,0,0.489701," ","integrate(1/(1-(d*x+c)^2),x, algorithm=""maxima"")","\frac{\log\left(d x + c + 1\right)}{2 \, d} - \frac{\log\left(d x + c - 1\right)}{2 \, d}"," ",0,"1/2*log(d*x + c + 1)/d - 1/2*log(d*x + c - 1)/d","B",0
93,1,56,0,0.624131," ","integrate(1/(1-(d*x+c)^2)^2,x, algorithm=""maxima"")","-\frac{d x + c}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + {\left(c^{2} - 1\right)} d\right)}} + \frac{\log\left(d x + c + 1\right)}{4 \, d} - \frac{\log\left(d x + c - 1\right)}{4 \, d}"," ",0,"-1/2*(d*x + c)/(d^3*x^2 + 2*c*d^2*x + (c^2 - 1)*d) + 1/4*log(d*x + c + 1)/d - 1/4*log(d*x + c - 1)/d","A",0
94,1,122,0,0.641331," ","integrate(1/(1-(d*x+c)^2)^3,x, algorithm=""maxima"")","-\frac{3 \, d^{3} x^{3} + 9 \, c d^{2} x^{2} + 3 \, c^{3} + {\left(9 \, c^{2} - 5\right)} d x - 5 \, c}{8 \, {\left(d^{5} x^{4} + 4 \, c d^{4} x^{3} + 2 \, {\left(3 \, c^{2} - 1\right)} d^{3} x^{2} + 4 \, {\left(c^{3} - c\right)} d^{2} x + {\left(c^{4} - 2 \, c^{2} + 1\right)} d\right)}} + \frac{3 \, \log\left(d x + c + 1\right)}{16 \, d} - \frac{3 \, \log\left(d x + c - 1\right)}{16 \, d}"," ",0,"-1/8*(3*d^3*x^3 + 9*c*d^2*x^2 + 3*c^3 + (9*c^2 - 5)*d*x - 5*c)/(d^5*x^4 + 4*c*d^4*x^3 + 2*(3*c^2 - 1)*d^3*x^2 + 4*(c^3 - c)*d^2*x + (c^4 - 2*c^2 + 1)*d) + 3/16*log(d*x + c + 1)/d - 3/16*log(d*x + c - 1)/d","B",0
95,1,11,0,0.570874," ","integrate(1/(1-(1+x)^2),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(x + 2\right) - \frac{1}{2} \, \log\left(x\right)"," ",0,"1/2*log(x + 2) - 1/2*log(x)","B",0
96,1,25,0,0.648793," ","integrate(1/(1-(1+x)^2)^2,x, algorithm=""maxima"")","-\frac{x + 1}{2 \, {\left(x^{2} + 2 \, x\right)}} + \frac{1}{4} \, \log\left(x + 2\right) - \frac{1}{4} \, \log\left(x\right)"," ",0,"-1/2*(x + 1)/(x^2 + 2*x) + 1/4*log(x + 2) - 1/4*log(x)","A",0
97,1,44,0,0.644446," ","integrate(1/(1-(1+x)^2)^3,x, algorithm=""maxima"")","-\frac{3 \, x^{3} + 9 \, x^{2} + 4 \, x - 2}{8 \, {\left(x^{4} + 4 \, x^{3} + 4 \, x^{2}\right)}} + \frac{3}{16} \, \log\left(x + 2\right) - \frac{3}{16} \, \log\left(x\right)"," ",0,"-1/8*(3*x^3 + 9*x^2 + 4*x - 2)/(x^4 + 4*x^3 + 4*x^2) + 3/16*log(x + 2) - 3/16*log(x)","A",0
98,1,54,0,0.541985," ","integrate((1+(b*x+a)^2)^2/x,x, algorithm=""maxima"")","\frac{1}{4} \, b^{4} x^{4} + \frac{4}{3} \, a b^{3} x^{3} + {\left(3 \, a^{2} + 1\right)} b^{2} x^{2} + 4 \, {\left(a^{3} + a\right)} b x + {\left(a^{4} + 2 \, a^{2} + 1\right)} \log\left(x\right)"," ",0,"1/4*b^4*x^4 + 4/3*a*b^3*x^3 + (3*a^2 + 1)*b^2*x^2 + 4*(a^3 + a)*b*x + (a^4 + 2*a^2 + 1)*log(x)","A",0
99,1,11,0,0.678279," ","integrate(x^2/(1+(-1+x)^2),x, algorithm=""maxima"")","x + \log\left(x^{2} - 2 \, x + 2\right)"," ",0,"x + log(x^2 - 2*x + 2)","A",0
100,1,36,0,1.289351," ","integrate(x^2/(1-(1+x)^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{-x^{2} - 2 \, x} x + \frac{3}{2} \, \sqrt{-x^{2} - 2 \, x} - \frac{3}{2} \, \arcsin\left(-x - 1\right)"," ",0,"-1/2*sqrt(-x^2 - 2*x)*x + 3/2*sqrt(-x^2 - 2*x) - 3/2*arcsin(-x - 1)","A",0
101,1,139,0,1.461995," ","integrate(x^2/(1-(b*x+a)^2)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, a^{2} \arcsin\left(-\frac{b^{2} x + a b}{\sqrt{a^{2} b^{2} - {\left(a^{2} - 1\right)} b^{2}}}\right)}{2 \, b^{3}} - \frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} x}{2 \, b^{2}} + \frac{{\left(a^{2} - 1\right)} \arcsin\left(-\frac{b^{2} x + a b}{\sqrt{a^{2} b^{2} - {\left(a^{2} - 1\right)} b^{2}}}\right)}{2 \, b^{3}} + \frac{3 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} a}{2 \, b^{3}}"," ",0,"-3/2*a^2*arcsin(-(b^2*x + a*b)/sqrt(a^2*b^2 - (a^2 - 1)*b^2))/b^3 - 1/2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*x/b^2 + 1/2*(a^2 - 1)*arcsin(-(b^2*x + a*b)/sqrt(a^2*b^2 - (a^2 - 1)*b^2))/b^3 + 3/2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*a/b^3","B",0
102,1,135,0,0.586826," ","integrate(x^2/(1+(b*x+a)^2)^(1/2),x, algorithm=""maxima"")","\frac{3 \, a^{2} \operatorname{arsinh}\left(\frac{2 \, {\left(b^{2} x + a b\right)}}{\sqrt{-4 \, a^{2} b^{2} + 4 \, {\left(a^{2} + 1\right)} b^{2}}}\right)}{2 \, b^{3}} + \frac{\sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} x}{2 \, b^{2}} - \frac{{\left(a^{2} + 1\right)} \operatorname{arsinh}\left(\frac{2 \, {\left(b^{2} x + a b\right)}}{\sqrt{-4 \, a^{2} b^{2} + 4 \, {\left(a^{2} + 1\right)} b^{2}}}\right)}{2 \, b^{3}} - \frac{3 \, \sqrt{b^{2} x^{2} + 2 \, a b x + a^{2} + 1} a}{2 \, b^{3}}"," ",0,"3/2*a^2*arcsinh(2*(b^2*x + a*b)/sqrt(-4*a^2*b^2 + 4*(a^2 + 1)*b^2))/b^3 + 1/2*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*x/b^2 - 1/2*(a^2 + 1)*arcsinh(2*(b^2*x + a*b)/sqrt(-4*a^2*b^2 + 4*(a^2 + 1)*b^2))/b^3 - 3/2*sqrt(b^2*x^2 + 2*a*b*x + a^2 + 1)*a/b^3","B",0
103,0,0,0,0.000000," ","integrate(x^3/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","\frac{x}{b d^{3}} - \frac{\int \frac{3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}\,{d x}}{b d^{3}}"," ",0,"x/(b*d^3) - integrate((3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(b*d^3)","F",0
104,0,0,0,0.000000," ","integrate(x^2/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(d x + c\right)}^{3} b + a}\,{d x}"," ",0,"integrate(x^2/((d*x + c)^3*b + a), x)","F",0
105,0,0,0,0.000000," ","integrate(x/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","\int \frac{x}{{\left(d x + c\right)}^{3} b + a}\,{d x}"," ",0,"integrate(x/((d*x + c)^3*b + a), x)","F",0
106,0,0,0,0.000000," ","integrate(1/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x + c\right)}^{3} b + a}\,{d x}"," ",0,"integrate(1/((d*x + c)^3*b + a), x)","F",0
107,0,0,0,0.000000," ","integrate(1/x/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{b d \int \frac{d^{2} x^{2} + 3 \, c d x + 3 \, c^{2}}{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}\,{d x}}{b c^{3} + a} + \frac{\log\left(x\right)}{b c^{3} + a}"," ",0,"-b*d*integrate((d^2*x^2 + 3*c*d*x + 3*c^2)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(b*c^3 + a) + log(x)/(b*c^3 + a)","F",0
108,0,0,0,0.000000," ","integrate(1/x^2/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{3 \, b c^{2} d \log\left(x\right)}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} + \frac{b d^{2} \int \frac{3 \, b c^{2} d^{2} x^{2} + 6 \, b c^{4} + {\left(8 \, b c^{3} - a\right)} d x - 3 \, a c}{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}\,{d x}}{b^{2} c^{6} + 2 \, a b c^{3} + a^{2}} - \frac{1}{{\left(b c^{3} + a\right)} x}"," ",0,"-3*b*c^2*d*log(x)/(b^2*c^6 + 2*a*b*c^3 + a^2) + b*d^2*integrate((3*b*c^2*d^2*x^2 + 6*b*c^4 + (8*b*c^3 - a)*d*x - 3*a*c)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(b^2*c^6 + 2*a*b*c^3 + a^2) - 1/((b*c^3 + a)*x)","F",0
109,0,0,0,0.000000," ","integrate(1/x^3/(a+b*(d*x+c)^3),x, algorithm=""maxima"")","-\frac{b d^{3} \int \frac{10 \, b^{2} c^{6} - 16 \, a b c^{3} + 3 \, {\left(2 \, b^{2} c^{4} - a b c\right)} d^{2} x^{2} + 3 \, {\left(5 \, b^{2} c^{5} - 4 \, a b c^{2}\right)} d x + a^{2}}{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}\,{d x}}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}} + \frac{3 \, {\left(2 \, b^{2} c^{4} - a b c\right)} d^{2} \log\left(x\right)}{b^{3} c^{9} + 3 \, a b^{2} c^{6} + 3 \, a^{2} b c^{3} + a^{3}} + \frac{6 \, b c^{2} d x - b c^{3} - a}{2 \, {\left(b^{2} c^{6} + 2 \, a b c^{3} + a^{2}\right)} x^{2}}"," ",0,"-b*d^3*integrate((10*b^2*c^6 - 16*a*b*c^3 + 3*(2*b^2*c^4 - a*b*c)*d^2*x^2 + 3*(5*b^2*c^5 - 4*a*b*c^2)*d*x + a^2)/(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a), x)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3) + 3*(2*b^2*c^4 - a*b*c)*d^2*log(x)/(b^3*c^9 + 3*a*b^2*c^6 + 3*a^2*b*c^3 + a^3) + 1/2*(6*b*c^2*d*x - b*c^3 - a)/((b^2*c^6 + 2*a*b*c^3 + a^2)*x^2)","F",0
110,0,0,0,0.000000," ","integrate(x^3/(a+b*(d*x+c)^4),x, algorithm=""maxima"")","\int \frac{x^{3}}{{\left(d x + c\right)}^{4} b + a}\,{d x}"," ",0,"integrate(x^3/((d*x + c)^4*b + a), x)","F",0
111,0,0,0,0.000000," ","integrate(x^2/(a+b*(d*x+c)^4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(d x + c\right)}^{4} b + a}\,{d x}"," ",0,"integrate(x^2/((d*x + c)^4*b + a), x)","F",0
112,0,0,0,0.000000," ","integrate(x/(a+b*(d*x+c)^4),x, algorithm=""maxima"")","\int \frac{x}{{\left(d x + c\right)}^{4} b + a}\,{d x}"," ",0,"integrate(x/((d*x + c)^4*b + a), x)","F",0
113,0,0,0,0.000000," ","integrate(1/(a+b*(d*x+c)^4),x, algorithm=""maxima"")","\int \frac{1}{{\left(d x + c\right)}^{4} b + a}\,{d x}"," ",0,"integrate(1/((d*x + c)^4*b + a), x)","F",0
114,0,0,0,0.000000," ","integrate(1/x/(a+b*(d*x+c)^4),x, algorithm=""maxima"")","-\frac{b d \int \frac{d^{3} x^{3} + 4 \, c d^{2} x^{2} + 6 \, c^{2} d x + 4 \, c^{3}}{b d^{4} x^{4} + 4 \, b c d^{3} x^{3} + 6 \, b c^{2} d^{2} x^{2} + 4 \, b c^{3} d x + b c^{4} + a}\,{d x}}{b c^{4} + a} + \frac{\log\left(x\right)}{b c^{4} + a}"," ",0,"-b*d*integrate((d^3*x^3 + 4*c*d^2*x^2 + 6*c^2*d*x + 4*c^3)/(b*d^4*x^4 + 4*b*c*d^3*x^3 + 6*b*c^2*d^2*x^2 + 4*b*c^3*d*x + b*c^4 + a), x)/(b*c^4 + a) + log(x)/(b*c^4 + a)","F",0
115,0,0,0,0.000000," ","integrate(1/x^2/(a+b*(d*x+c)^4),x, algorithm=""maxima"")","-\frac{4 \, b c^{3} d \log\left(x\right)}{b^{2} c^{8} + 2 \, a b c^{4} + a^{2}} + \frac{b d^{2} \int \frac{4 \, b c^{3} d^{3} x^{3} + 10 \, b c^{6} + {\left(15 \, b c^{4} - a\right)} d^{2} x^{2} - 6 \, a c^{2} + 4 \, {\left(5 \, b c^{5} - a c\right)} d x}{b d^{4} x^{4} + 4 \, b c d^{3} x^{3} + 6 \, b c^{2} d^{2} x^{2} + 4 \, b c^{3} d x + b c^{4} + a}\,{d x}}{b^{2} c^{8} + 2 \, a b c^{4} + a^{2}} - \frac{1}{{\left(b c^{4} + a\right)} x}"," ",0,"-4*b*c^3*d*log(x)/(b^2*c^8 + 2*a*b*c^4 + a^2) + b*d^2*integrate((4*b*c^3*d^3*x^3 + 10*b*c^6 + (15*b*c^4 - a)*d^2*x^2 - 6*a*c^2 + 4*(5*b*c^5 - a*c)*d*x)/(b*d^4*x^4 + 4*b*c*d^3*x^3 + 6*b*c^2*d^2*x^2 + 4*b*c^3*d*x + b*c^4 + a), x)/(b^2*c^8 + 2*a*b*c^4 + a^2) - 1/((b*c^4 + a)*x)","F",0
116,1,192,0,0.692051," ","integrate((-x^4+4*x^3-8*x^2+a+8*x)^4,x, algorithm=""maxima"")","\frac{1}{17} \, x^{17} - x^{16} + \frac{128}{15} \, x^{15} - 48 \, x^{14} + \frac{2560}{13} \, x^{13} - \frac{1856}{3} \, x^{12} + \frac{16768}{11} \, x^{11} - \frac{14848}{5} \, x^{10} + \frac{40960}{9} \, x^{9} - 5376 \, x^{8} + \frac{32768}{7} \, x^{7} - \frac{8192}{3} \, x^{6} + a^{4} x + \frac{4096}{5} \, x^{5} - \frac{4}{15} \, {\left(3 \, x^{5} - 15 \, x^{4} + 40 \, x^{3} - 60 \, x^{2}\right)} a^{3} + \frac{2}{105} \, {\left(35 \, x^{9} - 315 \, x^{8} + 1440 \, x^{7} - 4200 \, x^{6} + 8064 \, x^{5} - 10080 \, x^{4} + 6720 \, x^{3}\right)} a^{2} - \frac{4}{2145} \, {\left(165 \, x^{13} - 2145 \, x^{12} + 14040 \, x^{11} - 60060 \, x^{10} + 183040 \, x^{9} - 411840 \, x^{8} + 686400 \, x^{7} - 823680 \, x^{6} + 658944 \, x^{5} - 274560 \, x^{4}\right)} a"," ",0,"1/17*x^17 - x^16 + 128/15*x^15 - 48*x^14 + 2560/13*x^13 - 1856/3*x^12 + 16768/11*x^11 - 14848/5*x^10 + 40960/9*x^9 - 5376*x^8 + 32768/7*x^7 - 8192/3*x^6 + a^4*x + 4096/5*x^5 - 4/15*(3*x^5 - 15*x^4 + 40*x^3 - 60*x^2)*a^3 + 2/105*(35*x^9 - 315*x^8 + 1440*x^7 - 4200*x^6 + 8064*x^5 - 10080*x^4 + 6720*x^3)*a^2 - 4/2145*(165*x^13 - 2145*x^12 + 14040*x^11 - 60060*x^10 + 183040*x^9 - 411840*x^8 + 686400*x^7 - 823680*x^6 + 658944*x^5 - 274560*x^4)*a","A",0
117,1,119,0,0.666529," ","integrate((-x^4+4*x^3-8*x^2+a+8*x)^3,x, algorithm=""maxima"")","-\frac{1}{13} \, x^{13} + x^{12} - \frac{72}{11} \, x^{11} + 28 \, x^{10} - \frac{256}{3} \, x^{9} + 192 \, x^{8} - 320 \, x^{7} + 384 \, x^{6} - \frac{1536}{5} \, x^{5} + a^{3} x + 128 \, x^{4} - \frac{1}{5} \, {\left(3 \, x^{5} - 15 \, x^{4} + 40 \, x^{3} - 60 \, x^{2}\right)} a^{2} + \frac{1}{105} \, {\left(35 \, x^{9} - 315 \, x^{8} + 1440 \, x^{7} - 4200 \, x^{6} + 8064 \, x^{5} - 10080 \, x^{4} + 6720 \, x^{3}\right)} a"," ",0,"-1/13*x^13 + x^12 - 72/11*x^11 + 28*x^10 - 256/3*x^9 + 192*x^8 - 320*x^7 + 384*x^6 - 1536/5*x^5 + a^3*x + 128*x^4 - 1/5*(3*x^5 - 15*x^4 + 40*x^3 - 60*x^2)*a^2 + 1/105*(35*x^9 - 315*x^8 + 1440*x^7 - 4200*x^6 + 8064*x^5 - 10080*x^4 + 6720*x^3)*a","A",0
118,1,65,0,0.707160," ","integrate((-x^4+4*x^3-8*x^2+a+8*x)^2,x, algorithm=""maxima"")","\frac{1}{9} \, x^{9} - x^{8} + \frac{32}{7} \, x^{7} - \frac{40}{3} \, x^{6} + \frac{128}{5} \, x^{5} - 32 \, x^{4} + a^{2} x + \frac{64}{3} \, x^{3} - \frac{2}{15} \, {\left(3 \, x^{5} - 15 \, x^{4} + 40 \, x^{3} - 60 \, x^{2}\right)} a"," ",0,"1/9*x^9 - x^8 + 32/7*x^7 - 40/3*x^6 + 128/5*x^5 - 32*x^4 + a^2*x + 64/3*x^3 - 2/15*(3*x^5 - 15*x^4 + 40*x^3 - 60*x^2)*a","A",0
119,1,22,0,0.626859," ","integrate(-x^4+4*x^3-8*x^2+a+8*x,x, algorithm=""maxima"")","-\frac{1}{5} \, x^{5} + x^{4} - \frac{8}{3} \, x^{3} + a x + 4 \, x^{2}"," ",0,"-1/5*x^5 + x^4 - 8/3*x^3 + a*x + 4*x^2","A",0
120,0,0,0,0.000000," ","integrate(1/(-x^4+4*x^3-8*x^2+a+8*x),x, algorithm=""maxima"")","-\int \frac{1}{x^{4} - 4 \, x^{3} + 8 \, x^{2} - a - 8 \, x}\,{d x}"," ",0,"-integrate(1/(x^4 - 4*x^3 + 8*x^2 - a - 8*x), x)","F",0
121,0,0,0,0.000000," ","integrate(1/(-x^4+4*x^3-8*x^2+a+8*x)^2,x, algorithm=""maxima"")","-\frac{x^{3} + {\left(a + 8\right)} x - 3 \, x^{2} - a - 6}{4 \, {\left({\left(a^{2} + 7 \, a + 12\right)} x^{4} - 4 \, {\left(a^{2} + 7 \, a + 12\right)} x^{3} - a^{3} + 8 \, {\left(a^{2} + 7 \, a + 12\right)} x^{2} - 7 \, a^{2} - 8 \, {\left(a^{2} + 7 \, a + 12\right)} x - 12 \, a\right)}} - \frac{\int \frac{x^{2} + 3 \, a - 2 \, x + 12}{x^{4} - 4 \, x^{3} + 8 \, x^{2} - a - 8 \, x}\,{d x}}{4 \, {\left(a^{2} + 7 \, a + 12\right)}}"," ",0,"-1/4*(x^3 + (a + 8)*x - 3*x^2 - a - 6)/((a^2 + 7*a + 12)*x^4 - 4*(a^2 + 7*a + 12)*x^3 - a^3 + 8*(a^2 + 7*a + 12)*x^2 - 7*a^2 - 8*(a^2 + 7*a + 12)*x - 12*a) - 1/4*integrate((x^2 + 3*a - 2*x + 12)/(x^4 - 4*x^3 + 8*x^2 - a - 8*x), x)/(a^2 + 7*a + 12)","F",0
122,0,0,0,0.000000," ","integrate(1/(-x^4+4*x^3-8*x^2+a+8*x)^3,x, algorithm=""maxima"")","-\frac{6 \, {\left(2 \, a + 7\right)} x^{7} - 42 \, {\left(2 \, a + 7\right)} x^{6} + {\left(7 \, a^{2} + 343 \, a + 1116\right)} x^{5} - 5 \, {\left(7 \, a^{2} + 175 \, a + 528\right)} x^{4} + 2 \, {\left(34 \, a^{2} + 679 \, a + 1968\right)} x^{3} + 11 \, a^{3} - 2 \, {\left(32 \, a^{2} + 623 \, a + 1800\right)} x^{2} + 131 \, a^{2} - {\left(11 \, a^{3} + 107 \, a^{2} - 84 \, a - 1152\right)} x + 408 \, a + 288}{32 \, {\left({\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{8} - 8 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{7} + 32 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{6} + a^{6} - 80 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{5} + 14 \, a^{5} - 2 \, {\left(a^{5} - 50 \, a^{4} - 823 \, a^{3} - 4504 \, a^{2} - 10608 \, a - 9216\right)} x^{4} + 73 \, a^{4} + 8 \, {\left(a^{5} - 2 \, a^{4} - 151 \, a^{3} - 1000 \, a^{2} - 2544 \, a - 2304\right)} x^{3} + 168 \, a^{3} - 16 \, {\left(a^{5} + 10 \, a^{4} + 17 \, a^{3} - 124 \, a^{2} - 528 \, a - 576\right)} x^{2} + 144 \, a^{2} + 16 \, {\left(a^{5} + 14 \, a^{4} + 73 \, a^{3} + 168 \, a^{2} + 144 \, a\right)} x\right)}} - \frac{3 \, \int \frac{2 \, {\left(2 \, a + 7\right)} x^{2} + 7 \, a^{2} - 4 \, {\left(2 \, a + 7\right)} x + 55 \, a + 108}{x^{4} - 4 \, x^{3} + 8 \, x^{2} - a - 8 \, x}\,{d x}}{32 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)}}"," ",0,"-1/32*(6*(2*a + 7)*x^7 - 42*(2*a + 7)*x^6 + (7*a^2 + 343*a + 1116)*x^5 - 5*(7*a^2 + 175*a + 528)*x^4 + 2*(34*a^2 + 679*a + 1968)*x^3 + 11*a^3 - 2*(32*a^2 + 623*a + 1800)*x^2 + 131*a^2 - (11*a^3 + 107*a^2 - 84*a - 1152)*x + 408*a + 288)/((a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^8 - 8*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^7 + 32*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^6 + a^6 - 80*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^5 + 14*a^5 - 2*(a^5 - 50*a^4 - 823*a^3 - 4504*a^2 - 10608*a - 9216)*x^4 + 73*a^4 + 8*(a^5 - 2*a^4 - 151*a^3 - 1000*a^2 - 2544*a - 2304)*x^3 + 168*a^3 - 16*(a^5 + 10*a^4 + 17*a^3 - 124*a^2 - 528*a - 576)*x^2 + 144*a^2 + 16*(a^5 + 14*a^4 + 73*a^3 + 168*a^2 + 144*a)*x) - 3/32*integrate((2*(2*a + 7)*x^2 + 7*a^2 - 4*(2*a + 7)*x + 55*a + 108)/(x^4 - 4*x^3 + 8*x^2 - a - 8*x), x)/(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)","F",0
123,1,182,0,0.620982," ","integrate(x*(-x^4+4*x^3-8*x^2+a+8*x)^4,x, algorithm=""maxima"")","\frac{1}{18} \, x^{18} - \frac{16}{17} \, x^{17} + 8 \, x^{16} - \frac{2}{7} \, {\left(a - 640\right)} x^{14} - \frac{224}{5} \, x^{15} + \frac{16}{13} \, {\left(3 \, a - 464\right)} x^{13} - \frac{8}{3} \, {\left(9 \, a - 524\right)} x^{12} + \frac{32}{11} \, {\left(35 \, a - 928\right)} x^{11} + \frac{1}{5} \, {\left(3 \, a^{2} - 1536 \, a + 20480\right)} x^{10} - \frac{16}{3} \, {\left(a^{2} - 128 \, a + 896\right)} x^{9} + 8 \, {\left(3 \, a^{2} - 140 \, a + 512\right)} x^{8} - \frac{32}{7} \, {\left(15 \, a^{2} - 288 \, a + 512\right)} x^{7} - \frac{2}{3} \, {\left(a^{3} - 192 \, a^{2} + 1536 \, a - 1024\right)} x^{6} + \frac{1}{2} \, a^{4} x^{2} + \frac{32}{3} \, a^{3} x^{3} + \frac{16}{5} \, {\left(a^{3} - 48 \, a^{2} + 128 \, a\right)} x^{5} - 8 \, {\left(a^{3} - 12 \, a^{2}\right)} x^{4}"," ",0,"1/18*x^18 - 16/17*x^17 + 8*x^16 - 2/7*(a - 640)*x^14 - 224/5*x^15 + 16/13*(3*a - 464)*x^13 - 8/3*(9*a - 524)*x^12 + 32/11*(35*a - 928)*x^11 + 1/5*(3*a^2 - 1536*a + 20480)*x^10 - 16/3*(a^2 - 128*a + 896)*x^9 + 8*(3*a^2 - 140*a + 512)*x^8 - 32/7*(15*a^2 - 288*a + 512)*x^7 - 2/3*(a^3 - 192*a^2 + 1536*a - 1024)*x^6 + 1/2*a^4*x^2 + 32/3*a^3*x^3 + 16/5*(a^3 - 48*a^2 + 128*a)*x^5 - 8*(a^3 - 12*a^2)*x^4","A",0
124,1,113,0,0.624231," ","integrate(x*(-x^4+4*x^3-8*x^2+a+8*x)^3,x, algorithm=""maxima"")","-\frac{1}{14} \, x^{14} + \frac{12}{13} \, x^{13} - 6 \, x^{12} + \frac{3}{10} \, {\left(a - 256\right)} x^{10} + \frac{280}{11} \, x^{11} - \frac{8}{3} \, {\left(a - 64\right)} x^{9} + 4 \, {\left(3 \, a - 70\right)} x^{8} - \frac{48}{7} \, {\left(5 \, a - 48\right)} x^{7} - \frac{1}{2} \, {\left(a^{2} - 128 \, a + 512\right)} x^{6} + \frac{4}{5} \, {\left(3 \, a^{2} - 96 \, a + 128\right)} x^{5} + \frac{1}{2} \, a^{3} x^{2} + 8 \, a^{2} x^{3} - 6 \, {\left(a^{2} - 8 \, a\right)} x^{4}"," ",0,"-1/14*x^14 + 12/13*x^13 - 6*x^12 + 3/10*(a - 256)*x^10 + 280/11*x^11 - 8/3*(a - 64)*x^9 + 4*(3*a - 70)*x^8 - 48/7*(5*a - 48)*x^7 - 1/2*(a^2 - 128*a + 512)*x^6 + 4/5*(3*a^2 - 96*a + 128)*x^5 + 1/2*a^3*x^2 + 8*a^2*x^3 - 6*(a^2 - 8*a)*x^4","A",0
125,1,59,0,0.616244," ","integrate(x*(-x^4+4*x^3-8*x^2+a+8*x)^2,x, algorithm=""maxima"")","\frac{1}{10} \, x^{10} - \frac{8}{9} \, x^{9} + 4 \, x^{8} - \frac{1}{3} \, {\left(a - 64\right)} x^{6} - \frac{80}{7} \, x^{7} + \frac{8}{5} \, {\left(a - 16\right)} x^{5} - 4 \, {\left(a - 4\right)} x^{4} + \frac{1}{2} \, a^{2} x^{2} + \frac{16}{3} \, a x^{3}"," ",0,"1/10*x^10 - 8/9*x^9 + 4*x^8 - 1/3*(a - 64)*x^6 - 80/7*x^7 + 8/5*(a - 16)*x^5 - 4*(a - 4)*x^4 + 1/2*a^2*x^2 + 16/3*a*x^3","A",0
126,1,27,0,0.610632," ","integrate(x*(-x^4+4*x^3-8*x^2+a+8*x),x, algorithm=""maxima"")","-\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,"-1/6*x^6 + 4/5*x^5 - 2*x^4 + 1/2*a*x^2 + 8/3*x^3","A",0
127,0,0,0,0.000000," ","integrate(x/(-x^4+4*x^3-8*x^2+a+8*x),x, algorithm=""maxima"")","-\int \frac{x}{x^{4} - 4 \, x^{3} + 8 \, x^{2} - a - 8 \, x}\,{d x}"," ",0,"-integrate(x/(x^4 - 4*x^3 + 8*x^2 - a - 8*x), x)","F",0
128,0,0,0,0.000000," ","integrate(x/(-x^4+4*x^3-8*x^2+a+8*x)^2,x, algorithm=""maxima"")","-\frac{a x^{2} + x^{3} - {\left(a - 2\right)} x + a}{4 \, {\left({\left(a^{2} + 7 \, a + 12\right)} x^{4} - 4 \, {\left(a^{2} + 7 \, a + 12\right)} x^{3} - a^{3} + 8 \, {\left(a^{2} + 7 \, a + 12\right)} x^{2} - 7 \, a^{2} - 8 \, {\left(a^{2} + 7 \, a + 12\right)} x - 12 \, a\right)}} - \frac{\int \frac{2 \, {\left(a + 2\right)} x + x^{2} + a + 6}{x^{4} - 4 \, x^{3} + 8 \, x^{2} - a - 8 \, x}\,{d x}}{4 \, {\left(a^{2} + 7 \, a + 12\right)}}"," ",0,"-1/4*(a*x^2 + x^3 - (a - 2)*x + a)/((a^2 + 7*a + 12)*x^4 - 4*(a^2 + 7*a + 12)*x^3 - a^3 + 8*(a^2 + 7*a + 12)*x^2 - 7*a^2 - 8*(a^2 + 7*a + 12)*x - 12*a) - 1/4*integrate((2*(a + 2)*x + x^2 + a + 6)/(x^4 - 4*x^3 + 8*x^2 - a - 8*x), x)/(a^2 + 7*a + 12)","F",0
129,0,0,0,0.000000," ","integrate(x/(-x^4+4*x^3-8*x^2+a+8*x)^3,x, algorithm=""maxima"")","-\frac{6 \, {\left(2 \, a + 7\right)} x^{7} + 6 \, {\left(a^{2} - 8 \, a - 40\right)} x^{6} - {\left(29 \, a^{2} - 127 \, a - 792\right)} x^{5} + {\left(73 \, a^{2} - 227 \, a - 1668\right)} x^{4} - 2 \, {\left(62 \, a^{2} - 103 \, a - 1104\right)} x^{3} - 9 \, a^{3} - 2 \, {\left(5 \, a^{3} - 26 \, a^{2} + 140 \, a + 1008\right)} x^{2} - 21 \, a^{2} + 3 \, {\left(3 \, a^{3} - 17 \, a^{2} - 40 \, a + 192\right)} x + 36 \, a}{32 \, {\left({\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{8} - 8 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{7} + 32 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{6} + a^{6} - 80 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)} x^{5} + 14 \, a^{5} - 2 \, {\left(a^{5} - 50 \, a^{4} - 823 \, a^{3} - 4504 \, a^{2} - 10608 \, a - 9216\right)} x^{4} + 73 \, a^{4} + 8 \, {\left(a^{5} - 2 \, a^{4} - 151 \, a^{3} - 1000 \, a^{2} - 2544 \, a - 2304\right)} x^{3} + 168 \, a^{3} - 16 \, {\left(a^{5} + 10 \, a^{4} + 17 \, a^{3} - 124 \, a^{2} - 528 \, a - 576\right)} x^{2} + 144 \, a^{2} + 16 \, {\left(a^{5} + 14 \, a^{4} + 73 \, a^{3} + 168 \, a^{2} + 144 \, a\right)} x\right)}} - \frac{3 \, \int \frac{2 \, {\left(2 \, a + 7\right)} x^{2} + 3 \, a^{2} + 4 \, {\left(a^{2} + 4 \, a + 2\right)} x + 31 \, a + 72}{x^{4} - 4 \, x^{3} + 8 \, x^{2} - a - 8 \, x}\,{d x}}{32 \, {\left(a^{4} + 14 \, a^{3} + 73 \, a^{2} + 168 \, a + 144\right)}}"," ",0,"-1/32*(6*(2*a + 7)*x^7 + 6*(a^2 - 8*a - 40)*x^6 - (29*a^2 - 127*a - 792)*x^5 + (73*a^2 - 227*a - 1668)*x^4 - 2*(62*a^2 - 103*a - 1104)*x^3 - 9*a^3 - 2*(5*a^3 - 26*a^2 + 140*a + 1008)*x^2 - 21*a^2 + 3*(3*a^3 - 17*a^2 - 40*a + 192)*x + 36*a)/((a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^8 - 8*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^7 + 32*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^6 + a^6 - 80*(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)*x^5 + 14*a^5 - 2*(a^5 - 50*a^4 - 823*a^3 - 4504*a^2 - 10608*a - 9216)*x^4 + 73*a^4 + 8*(a^5 - 2*a^4 - 151*a^3 - 1000*a^2 - 2544*a - 2304)*x^3 + 168*a^3 - 16*(a^5 + 10*a^4 + 17*a^3 - 124*a^2 - 528*a - 576)*x^2 + 144*a^2 + 16*(a^5 + 14*a^4 + 73*a^3 + 168*a^2 + 144*a)*x) - 3/32*integrate((2*(2*a + 7)*x^2 + 3*a^2 + 4*(a^2 + 4*a + 2)*x + 31*a + 72)/(x^4 - 4*x^3 + 8*x^2 - a - 8*x), x)/(a^4 + 14*a^3 + 73*a^2 + 168*a + 144)","F",0
130,1,182,0,0.638814," ","integrate(x^2*(-x^4+4*x^3-8*x^2+a+8*x)^4,x, algorithm=""maxima"")","\frac{1}{19} \, x^{19} - \frac{8}{9} \, x^{18} + \frac{128}{17} \, x^{17} - \frac{4}{15} \, {\left(a - 640\right)} x^{15} - 42 \, x^{16} + \frac{8}{7} \, {\left(3 \, a - 464\right)} x^{14} - \frac{32}{13} \, {\left(9 \, a - 524\right)} x^{13} + \frac{8}{3} \, {\left(35 \, a - 928\right)} x^{12} + \frac{2}{11} \, {\left(3 \, a^{2} - 1536 \, a + 20480\right)} x^{11} - \frac{24}{5} \, {\left(a^{2} - 128 \, a + 896\right)} x^{10} + \frac{64}{9} \, {\left(3 \, a^{2} - 140 \, a + 512\right)} x^{9} - 4 \, {\left(15 \, a^{2} - 288 \, a + 512\right)} x^{8} - \frac{4}{7} \, {\left(a^{3} - 192 \, a^{2} + 1536 \, a - 1024\right)} x^{7} + \frac{1}{3} \, a^{4} x^{3} + 8 \, a^{3} x^{4} + \frac{8}{3} \, {\left(a^{3} - 48 \, a^{2} + 128 \, a\right)} x^{6} - \frac{32}{5} \, {\left(a^{3} - 12 \, a^{2}\right)} x^{5}"," ",0,"1/19*x^19 - 8/9*x^18 + 128/17*x^17 - 4/15*(a - 640)*x^15 - 42*x^16 + 8/7*(3*a - 464)*x^14 - 32/13*(9*a - 524)*x^13 + 8/3*(35*a - 928)*x^12 + 2/11*(3*a^2 - 1536*a + 20480)*x^11 - 24/5*(a^2 - 128*a + 896)*x^10 + 64/9*(3*a^2 - 140*a + 512)*x^9 - 4*(15*a^2 - 288*a + 512)*x^8 - 4/7*(a^3 - 192*a^2 + 1536*a - 1024)*x^7 + 1/3*a^4*x^3 + 8*a^3*x^4 + 8/3*(a^3 - 48*a^2 + 128*a)*x^6 - 32/5*(a^3 - 12*a^2)*x^5","A",0
131,1,113,0,0.562996," ","integrate(x^2*(-x^4+4*x^3-8*x^2+a+8*x)^3,x, algorithm=""maxima"")","-\frac{1}{15} \, x^{15} + \frac{6}{7} \, x^{14} - \frac{72}{13} \, x^{13} + \frac{3}{11} \, {\left(a - 256\right)} x^{11} + \frac{70}{3} \, x^{12} - \frac{12}{5} \, {\left(a - 64\right)} x^{10} + \frac{32}{9} \, {\left(3 \, a - 70\right)} x^{9} - 6 \, {\left(5 \, a - 48\right)} x^{8} - \frac{3}{7} \, {\left(a^{2} - 128 \, a + 512\right)} x^{7} + \frac{2}{3} \, {\left(3 \, a^{2} - 96 \, a + 128\right)} x^{6} + \frac{1}{3} \, a^{3} x^{3} + 6 \, a^{2} x^{4} - \frac{24}{5} \, {\left(a^{2} - 8 \, a\right)} x^{5}"," ",0,"-1/15*x^15 + 6/7*x^14 - 72/13*x^13 + 3/11*(a - 256)*x^11 + 70/3*x^12 - 12/5*(a - 64)*x^10 + 32/9*(3*a - 70)*x^9 - 6*(5*a - 48)*x^8 - 3/7*(a^2 - 128*a + 512)*x^7 + 2/3*(3*a^2 - 96*a + 128)*x^6 + 1/3*a^3*x^3 + 6*a^2*x^4 - 24/5*(a^2 - 8*a)*x^5","A",0
132,1,59,0,0.546086," ","integrate(x^2*(-x^4+4*x^3-8*x^2+a+8*x)^2,x, algorithm=""maxima"")","\frac{1}{11} \, x^{11} - \frac{4}{5} \, x^{10} + \frac{32}{9} \, x^{9} - \frac{2}{7} \, {\left(a - 64\right)} x^{7} - 10 \, x^{8} + \frac{4}{3} \, {\left(a - 16\right)} x^{6} - \frac{16}{5} \, {\left(a - 4\right)} x^{5} + \frac{1}{3} \, a^{2} x^{3} + 4 \, a x^{4}"," ",0,"1/11*x^11 - 4/5*x^10 + 32/9*x^9 - 2/7*(a - 64)*x^7 - 10*x^8 + 4/3*(a - 16)*x^6 - 16/5*(a - 4)*x^5 + 1/3*a^2*x^3 + 4*a*x^4","A",0
133,1,27,0,0.609411," ","integrate(x^2*(-x^4+4*x^3-8*x^2+a+8*x),x, algorithm=""maxima"")","-\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,"-1/7*x^7 + 2/3*x^6 - 8/5*x^5 + 1/3*a*x^3 + 2*x^4","A",0
134,0,0,0,0.000000," ","integrate(x^2/(-x^4+4*x^3-8*x^2+a+8*x),x, algorithm=""maxima"")","-\int \frac{x^{2}}{x^{4} - 4 \, x^{3} + 8 \, x^{2} - a - 8 \, x}\,{d x}"," ",0,"-integrate(x^2/(x^4 - 4*x^3 + 8*x^2 - a - 8*x), x)","F",0
135,0,0,0,0.000000," ","integrate(x^2/(-x^4+4*x^3-8*x^2+a+8*x)^2,x, algorithm=""maxima"")","-\frac{{\left(a + 4\right)} x^{3} - {\left(a + 6\right)} x^{2} + {\left(a + 8\right)} x + a}{4 \, {\left({\left(a^{2} + 7 \, a + 12\right)} x^{4} - 4 \, {\left(a^{2} + 7 \, a + 12\right)} x^{3} - a^{3} + 8 \, {\left(a^{2} + 7 \, a + 12\right)} x^{2} - 7 \, a^{2} - 8 \, {\left(a^{2} + 7 \, a + 12\right)} x - 12 \, a\right)}} - \frac{\int \frac{{\left(a + 4\right)} x^{2} + 2 \, {\left(a + 2\right)} x - a}{x^{4} - 4 \, x^{3} + 8 \, x^{2} - a - 8 \, x}\,{d x}}{4 \, {\left(a^{2} + 7 \, a + 12\right)}}"," ",0,"-1/4*((a + 4)*x^3 - (a + 6)*x^2 + (a + 8)*x + a)/((a^2 + 7*a + 12)*x^4 - 4*(a^2 + 7*a + 12)*x^3 - a^3 + 8*(a^2 + 7*a + 12)*x^2 - 7*a^2 - 8*(a^2 + 7*a + 12)*x - 12*a) - 1/4*integrate(((a + 4)*x^2 + 2*(a + 2)*x - a)/(x^4 - 4*x^3 + 8*x^2 - a - 8*x), x)/(a^2 + 7*a + 12)","F",0
136,0,0,0,0.000000," ","integrate(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, algorithm=""maxima"")","\int \frac{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}}\,{d x}"," ",0,"integrate(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)","F",0
137,0,0,0,0.000000," ","integrate(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, algorithm=""maxima"")","\int \frac{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}}\,{d x}"," ",0,"integrate(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)","F",0
138,0,0,0,0.000000," ","integrate(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, algorithm=""maxima"")","\int \frac{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}}\,{d x}"," ",0,"integrate(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)","F",0
139,0,0,0,0.000000," ","integrate(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, algorithm=""maxima"")","\int \frac{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}}\,{d x}"," ",0,"integrate(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)","F",0
140,0,0,0,0.000000," ","integrate(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, algorithm=""maxima"")","\int \frac{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}}\,{d x}"," ",0,"integrate(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)","F",0
141,-1,0,0,0.000000," ","integrate(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, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
142,-1,0,0,0.000000," ","integrate(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, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
143,0,0,0,0.000000," ","integrate(x^5/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""maxima"")","\int \frac{x^{5}}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"integrate(x^5/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
144,0,0,0,0.000000," ","integrate(x^4/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""maxima"")","\int \frac{x^{4}}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"integrate(x^4/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
145,0,0,0,0.000000," ","integrate(x^3/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""maxima"")","\int \frac{x^{3}}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"integrate(x^3/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
146,0,0,0,0.000000," ","integrate(x^2/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""maxima"")","\int \frac{x^{2}}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"integrate(x^2/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
147,0,0,0,0.000000," ","integrate(x/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""maxima"")","\int \frac{x}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"integrate(x/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
148,0,0,0,0.000000," ","integrate(1/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""maxima"")","\int \frac{1}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"integrate(1/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
149,0,0,0,0.000000," ","integrate(1/x/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""maxima"")","-\frac{1}{216} \, \int \frac{x^{5} + 18 \, x^{3} + 324 \, x^{2} + 108 \, x}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x} + \frac{1}{216} \, \log\left(x\right)"," ",0,"-1/216*integrate((x^5 + 18*x^3 + 324*x^2 + 108*x)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x) + 1/216*log(x)","F",0
150,0,0,0,0.000000," ","integrate(1/x^2/(x^6+18*x^4+324*x^3+108*x^2+216),x, algorithm=""maxima"")","-\frac{1}{216 \, x} - \frac{1}{216} \, \int \frac{x^{4} + 18 \, x^{2} + 324 \, x + 108}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"-1/216/x - 1/216*integrate((x^4 + 18*x^2 + 324*x + 108)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
151,0,0,0,0.000000," ","integrate(x^8/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""maxima"")","-\frac{9 \, x^{5} + 203 \, x^{4} + 11610 \, x^{3} + 3990 \, x^{2} - 324 \, x + 7884}{34182 \, {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)}} - \frac{1}{34182} \, \int \frac{9 \, x^{4} + 406 \, x^{3} + 324 \, x^{2} - 96 \, x + 324}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"-1/34182*(9*x^5 + 203*x^4 + 11610*x^3 + 3990*x^2 - 324*x + 7884)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216) - 1/34182*integrate((9*x^4 + 406*x^3 + 324*x^2 - 96*x + 324)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
152,0,0,0,0.000000," ","integrate(x^7/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""maxima"")","\frac{73 \, x^{5} - 18 \, x^{4} + 908 \, x^{3} + 432 \, x^{2} - 96 \, x + 648}{68364 \, {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)}} + \frac{1}{68364} \, \int \frac{73 \, x^{4} - 36 \, x^{3} + 96 \, x^{2} - 216 \, x + 96}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"1/68364*(73*x^5 - 18*x^4 + 908*x^3 + 432*x^2 - 96*x + 648)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216) + 1/68364*integrate((73*x^4 - 36*x^3 + 96*x^2 - 216*x + 96)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
153,0,0,0,0.000000," ","integrate(x^6/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""maxima"")","-\frac{3 \, x^{5} - 73 \, x^{4} + 72 \, x^{3} + 64 \, x^{2} - 108 \, x + 96}{68364 \, {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)}} - \frac{1}{68364} \, \int \frac{3 \, x^{4} - 146 \, x^{3} + 108 \, x^{2} - 32 \, x + 108}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"-1/68364*(3*x^5 - 73*x^4 + 72*x^3 + 64*x^2 - 108*x + 96)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216) - 1/68364*integrate((3*x^4 - 146*x^3 + 108*x^2 - 32*x + 108)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
154,0,0,0,0.000000," ","integrate(x^5/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""maxima"")","\frac{4 \, x^{5} - 27 \, x^{4} + 729 \, x^{3} + 648 \, x^{2} - 144 \, x + 972}{615276 \, {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)}} + \frac{1}{615276} \, \int \frac{4 \, x^{4} - 54 \, x^{3} + 2043 \, x^{2} - 324 \, x + 144}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"1/615276*(4*x^5 - 27*x^4 + 729*x^3 + 648*x^2 - 144*x + 972)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216) + 1/615276*integrate((4*x^4 - 54*x^3 + 2043*x^2 - 324*x + 144)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
155,0,0,0,0.000000," ","integrate(x^4/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""maxima"")","-\frac{9 \, x^{5} - 8 \, x^{4} + 216 \, x^{3} + 1458 \, x^{2} - 324 \, x + 288}{1230552 \, {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)}} - \frac{1}{1230552} \, \int \frac{9 \, x^{4} - 16 \, x^{3} + 324 \, x^{2} - 2628 \, x + 324}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"-1/1230552*(9*x^5 - 8*x^4 + 216*x^3 + 1458*x^2 - 324*x + 288)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216) - 1/1230552*integrate((9*x^4 - 16*x^3 + 324*x^2 - 2628*x + 324)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
156,0,0,0,0.000000," ","integrate(x^3/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""maxima"")","\frac{4 \, x^{5} - 27 \, x^{4} + 96 \, x^{3} + 648 \, x^{2} - 3942 \, x + 972}{3691656 \, {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)}} + \frac{1}{1845828} \, \int \frac{2 \, x^{4} - 27 \, x^{3} + 72 \, x^{2} - 162 \, x + 1971}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"1/3691656*(4*x^5 - 27*x^4 + 96*x^3 + 648*x^2 - 3942*x + 972)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216) + 1/1845828*integrate((2*x^4 - 27*x^3 + 72*x^2 - 162*x + 1971)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
157,0,0,0,0.000000," ","integrate(x^2/(x^6+18*x^4+324*x^3+108*x^2+216)^2,x, algorithm=""maxima"")","-\frac{9 \, x^{5} - 8 \, x^{4} + 216 \, x^{3} + 2724 \, x^{2} - 324 \, x + 7884}{7383312 \, {\left(x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216\right)}} - \frac{1}{7383312} \, \int \frac{9 \, x^{4} - 16 \, x^{3} + 324 \, x^{2} + 2436 \, x + 324}{x^{6} + 18 \, x^{4} + 324 \, x^{3} + 108 \, x^{2} + 216}\,{d x}"," ",0,"-1/7383312*(9*x^5 - 8*x^4 + 216*x^3 + 2724*x^2 - 324*x + 7884)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216) - 1/7383312*integrate((9*x^4 - 16*x^3 + 324*x^2 + 2436*x + 324)/(x^6 + 18*x^4 + 324*x^3 + 108*x^2 + 216), x)","F",0
158,1,21,0,0.442606," ","integrate((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, algorithm=""maxima"")","\frac{1}{5} \, b^{2} x^{5} + \frac{2}{3} \, a b x^{3} + a^{2} x"," ",0,"1/5*b^2*x^5 + 2/3*a*b*x^3 + a^2*x","A",0
159,1,105,0,0.439293," ","integrate((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, algorithm=""maxima"")","\frac{3 \, b^{2} d^{3} x^{4} - 4 \, b^{2} c d^{2} x^{3} + 6 \, {\left(b^{2} c^{2} d + 2 \, a b d^{3}\right)} x^{2} - 12 \, {\left(b^{2} c^{3} + 2 \, a b c d^{2}\right)} x}{12 \, d^{4}} + \frac{{\left(b^{2} c^{4} + 2 \, a b c^{2} d^{2} + a^{2} d^{4}\right)} \log\left(d x + c\right)}{d^{5}}"," ",0,"1/12*(3*b^2*d^3*x^4 - 4*b^2*c*d^2*x^3 + 6*(b^2*c^2*d + 2*a*b*d^3)*x^2 - 12*(b^2*c^3 + 2*a*b*c*d^2)*x)/d^4 + (b^2*c^4 + 2*a*b*c^2*d^2 + a^2*d^4)*log(d*x + c)/d^5","A",0
160,1,13,0,0.436118," ","integrate((2*c*x+b)*(c*x^2+b*x)^13,x, algorithm=""maxima"")","\frac{1}{14} \, {\left(c x^{2} + b x\right)}^{14}"," ",0,"1/14*(c*x^2 + b*x)^14","A",0
161,1,156,0,0.608419," ","integrate(x^14*(2*c*x^2+b)*(c*x^3+b*x)^13,x, algorithm=""maxima"")","\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",0
162,1,156,0,0.552419," ","integrate(x^28*(2*c*x^3+b)*(c*x^4+b*x)^13,x, algorithm=""maxima"")","\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",0
163,1,229,0,0.645337," ","integrate(x^(-14+14*n)*(b+2*c*x^n)*(b*x+c*x^(1+n))^13,x, algorithm=""maxima"")","\frac{c^{14} x^{28 \, n}}{14 \, n} + \frac{b c^{13} x^{27 \, n}}{n} + \frac{13 \, b^{2} c^{12} x^{26 \, n}}{2 \, n} + \frac{26 \, b^{3} c^{11} x^{25 \, n}}{n} + \frac{143 \, b^{4} c^{10} x^{24 \, n}}{2 \, n} + \frac{143 \, b^{5} c^{9} x^{23 \, n}}{n} + \frac{429 \, b^{6} c^{8} x^{22 \, n}}{2 \, n} + \frac{1716 \, b^{7} c^{7} x^{21 \, n}}{7 \, n} + \frac{429 \, b^{8} c^{6} x^{20 \, n}}{2 \, n} + \frac{143 \, b^{9} c^{5} x^{19 \, n}}{n} + \frac{143 \, b^{10} c^{4} x^{18 \, n}}{2 \, n} + \frac{26 \, b^{11} c^{3} x^{17 \, n}}{n} + \frac{13 \, b^{12} c^{2} x^{16 \, n}}{2 \, n} + \frac{b^{13} c x^{15 \, n}}{n} + \frac{b^{14} x^{14 \, n}}{14 \, n}"," ",0,"1/14*c^14*x^(28*n)/n + b*c^13*x^(27*n)/n + 13/2*b^2*c^12*x^(26*n)/n + 26*b^3*c^11*x^(25*n)/n + 143/2*b^4*c^10*x^(24*n)/n + 143*b^5*c^9*x^(23*n)/n + 429/2*b^6*c^8*x^(22*n)/n + 1716/7*b^7*c^7*x^(21*n)/n + 429/2*b^8*c^6*x^(20*n)/n + 143*b^9*c^5*x^(19*n)/n + 143/2*b^10*c^4*x^(18*n)/n + 26*b^11*c^3*x^(17*n)/n + 13/2*b^12*c^2*x^(16*n)/n + b^13*c*x^(15*n)/n + 1/14*b^14*x^(14*n)/n","B",0
164,1,10,0,0.554585," ","integrate((2*c*x+b)/(c*x^2+b*x),x, algorithm=""maxima"")","\log\left(c x^{2} + b x\right)"," ",0,"log(c*x^2 + b*x)","A",0
165,1,13,0,0.643534," ","integrate((2*c*x^2+b)/(c*x^3+b*x),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(c x^{2} + b\right) + \log\left(x\right)"," ",0,"1/2*log(c*x^2 + b) + log(x)","A",0
166,1,13,0,0.524676," ","integrate((2*c*x^3+b)/(c*x^4+b*x),x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(c x^{3} + b\right) + \log\left(x\right)"," ",0,"1/3*log(c*x^3 + b) + log(x)","A",0
167,1,47,0,0.576669," ","integrate((b+2*c*x^n)/(b*x+c*x^(1+n)),x, algorithm=""maxima"")","b {\left(\frac{\log\left(x\right)}{b} - \frac{\log\left(\frac{c x^{n} + b}{c}\right)}{b n}\right)} + \frac{2 \, \log\left(\frac{c x^{n} + b}{c}\right)}{n}"," ",0,"b*(log(x)/b - log((c*x^n + b)/c)/(b*n)) + 2*log((c*x^n + b)/c)/n","B",0
168,1,13,0,0.528480," ","integrate((2*c*x+b)/(c*x^2+b*x)^8,x, algorithm=""maxima"")","-\frac{1}{7 \, {\left(c x^{2} + b x\right)}^{7}}"," ",0,"-1/7/(c*x^2 + b*x)^7","A",0
169,1,81,0,0.670065," ","integrate((2*c*x^2+b)/x^7/(c*x^3+b*x)^8,x, algorithm=""maxima"")","-\frac{1}{14 \, {\left(c^{7} x^{28} + 7 \, b c^{6} x^{26} + 21 \, b^{2} c^{5} x^{24} + 35 \, b^{3} c^{4} x^{22} + 35 \, b^{4} c^{3} x^{20} + 21 \, b^{5} c^{2} x^{18} + 7 \, b^{6} c x^{16} + b^{7} x^{14}\right)}}"," ",0,"-1/14/(c^7*x^28 + 7*b*c^6*x^26 + 21*b^2*c^5*x^24 + 35*b^3*c^4*x^22 + 35*b^4*c^3*x^20 + 21*b^5*c^2*x^18 + 7*b^6*c*x^16 + b^7*x^14)","B",0
170,1,81,0,0.799519," ","integrate((2*c*x^3+b)/x^14/(c*x^4+b*x)^8,x, algorithm=""maxima"")","-\frac{1}{21 \, {\left(c^{7} x^{42} + 7 \, b c^{6} x^{39} + 21 \, b^{2} c^{5} x^{36} + 35 \, b^{3} c^{4} x^{33} + 35 \, b^{4} c^{3} x^{30} + 21 \, b^{5} c^{2} x^{27} + 7 \, b^{6} c x^{24} + b^{7} x^{21}\right)}}"," ",0,"-1/21/(c^7*x^42 + 7*b*c^6*x^39 + 21*b^2*c^5*x^36 + 35*b^3*c^4*x^33 + 35*b^4*c^3*x^30 + 21*b^5*c^2*x^27 + 7*b^6*c*x^24 + b^7*x^21)","B",0
171,1,612,0,1.034037," ","integrate((b+2*c*x^n)/(x^(-7+7*n))/(b*x+c*x^(1+n))^8,x, algorithm=""maxima"")","-\frac{1}{105} \, b {\left(\frac{360360 \, c^{13} x^{13 \, n} + 2342340 \, b c^{12} x^{12 \, n} + 6426420 \, b^{2} c^{11} x^{11 \, n} + 9579570 \, b^{3} c^{10} x^{10 \, n} + 8270262 \, b^{4} c^{9} x^{9 \, n} + 4018014 \, b^{5} c^{8} x^{8 \, n} + 934362 \, b^{6} c^{7} x^{7 \, n} + 45045 \, b^{7} c^{6} x^{6 \, n} - 5005 \, b^{8} c^{5} x^{5 \, n} + 1001 \, b^{9} c^{4} x^{4 \, n} - 273 \, b^{10} c^{3} x^{3 \, n} + 91 \, b^{11} c^{2} x^{2 \, n} - 35 \, b^{12} c x^{n} + 15 \, b^{13}}{b^{14} c^{7} n x^{14 \, n} + 7 \, b^{15} c^{6} n x^{13 \, n} + 21 \, b^{16} c^{5} n x^{12 \, n} + 35 \, b^{17} c^{4} n x^{11 \, n} + 35 \, b^{18} c^{3} n x^{10 \, n} + 21 \, b^{19} c^{2} n x^{9 \, n} + 7 \, b^{20} c n x^{8 \, n} + b^{21} n x^{7 \, n}} + \frac{360360 \, c^{7} \log\left(x\right)}{b^{15}} - \frac{360360 \, c^{7} \log\left(\frac{c x^{n} + b}{c}\right)}{b^{15} n}\right)} + \frac{1}{105} \, c {\left(\frac{360360 \, c^{12} x^{12 \, n} + 2342340 \, b c^{11} x^{11 \, n} + 6426420 \, b^{2} c^{10} x^{10 \, n} + 9579570 \, b^{3} c^{9} x^{9 \, n} + 8270262 \, b^{4} c^{8} x^{8 \, n} + 4018014 \, b^{5} c^{7} x^{7 \, n} + 934362 \, b^{6} c^{6} x^{6 \, n} + 45045 \, b^{7} c^{5} x^{5 \, n} - 5005 \, b^{8} c^{4} x^{4 \, n} + 1001 \, b^{9} c^{3} x^{3 \, n} - 273 \, b^{10} c^{2} x^{2 \, n} + 91 \, b^{11} c x^{n} - 35 \, b^{12}}{b^{13} c^{7} n x^{13 \, n} + 7 \, b^{14} c^{6} n x^{12 \, n} + 21 \, b^{15} c^{5} n x^{11 \, n} + 35 \, b^{16} c^{4} n x^{10 \, n} + 35 \, b^{17} c^{3} n x^{9 \, n} + 21 \, b^{18} c^{2} n x^{8 \, n} + 7 \, b^{19} c n x^{7 \, n} + b^{20} n x^{6 \, n}} + \frac{360360 \, c^{6} \log\left(x\right)}{b^{14}} - \frac{360360 \, c^{6} \log\left(\frac{c x^{n} + b}{c}\right)}{b^{14} n}\right)}"," ",0,"-1/105*b*((360360*c^13*x^(13*n) + 2342340*b*c^12*x^(12*n) + 6426420*b^2*c^11*x^(11*n) + 9579570*b^3*c^10*x^(10*n) + 8270262*b^4*c^9*x^(9*n) + 4018014*b^5*c^8*x^(8*n) + 934362*b^6*c^7*x^(7*n) + 45045*b^7*c^6*x^(6*n) - 5005*b^8*c^5*x^(5*n) + 1001*b^9*c^4*x^(4*n) - 273*b^10*c^3*x^(3*n) + 91*b^11*c^2*x^(2*n) - 35*b^12*c*x^n + 15*b^13)/(b^14*c^7*n*x^(14*n) + 7*b^15*c^6*n*x^(13*n) + 21*b^16*c^5*n*x^(12*n) + 35*b^17*c^4*n*x^(11*n) + 35*b^18*c^3*n*x^(10*n) + 21*b^19*c^2*n*x^(9*n) + 7*b^20*c*n*x^(8*n) + b^21*n*x^(7*n)) + 360360*c^7*log(x)/b^15 - 360360*c^7*log((c*x^n + b)/c)/(b^15*n)) + 1/105*c*((360360*c^12*x^(12*n) + 2342340*b*c^11*x^(11*n) + 6426420*b^2*c^10*x^(10*n) + 9579570*b^3*c^9*x^(9*n) + 8270262*b^4*c^8*x^(8*n) + 4018014*b^5*c^7*x^(7*n) + 934362*b^6*c^6*x^(6*n) + 45045*b^7*c^5*x^(5*n) - 5005*b^8*c^4*x^(4*n) + 1001*b^9*c^3*x^(3*n) - 273*b^10*c^2*x^(2*n) + 91*b^11*c*x^n - 35*b^12)/(b^13*c^7*n*x^(13*n) + 7*b^14*c^6*n*x^(12*n) + 21*b^15*c^5*n*x^(11*n) + 35*b^16*c^4*n*x^(10*n) + 35*b^17*c^3*n*x^(9*n) + 21*b^18*c^2*n*x^(8*n) + 7*b^19*c*n*x^(7*n) + b^20*n*x^(6*n)) + 360360*c^6*log(x)/b^14 - 360360*c^6*log((c*x^n + b)/c)/(b^14*n))","B",0
172,1,19,0,0.559392," ","integrate((2*c*x+b)*(c*x^2+b*x)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b x\right)}^{p + 1}}{p + 1}"," ",0,"(c*x^2 + b*x)^(p + 1)/(p + 1)","A",0
173,1,35,0,0.990044," ","integrate(x^(1+p)*(2*c*x^2+b)*(c*x^3+b*x)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{4} + b x^{2}\right)} e^{\left(p \log\left(c x^{2} + b\right) + 2 \, p \log\left(x\right)\right)}}{2 \, {\left(p + 1\right)}}"," ",0,"1/2*(c*x^4 + b*x^2)*e^(p*log(c*x^2 + b) + 2*p*log(x))/(p + 1)","A",0
174,1,35,0,1.073146," ","integrate(b*x^(1+p)*(c*x^3+b*x)^p+2*c*x^(3+p)*(c*x^3+b*x)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{4} + b x^{2}\right)} e^{\left(p \log\left(c x^{2} + b\right) + 2 \, p \log\left(x\right)\right)}}{2 \, {\left(p + 1\right)}}"," ",0,"1/2*(c*x^4 + b*x^2)*e^(p*log(c*x^2 + b) + 2*p*log(x))/(p + 1)","A",0
175,1,35,0,1.012615," ","integrate(x^(2+2*p)*(2*c*x^3+b)*(c*x^4+b*x)^p,x, algorithm=""maxima"")","\frac{{\left(c x^{6} + b x^{3}\right)} e^{\left(p \log\left(c x^{3} + b\right) + 3 \, p \log\left(x\right)\right)}}{3 \, {\left(p + 1\right)}}"," ",0,"1/3*(c*x^6 + b*x^3)*e^(p*log(c*x^3 + b) + 3*p*log(x))/(p + 1)","A",0
176,1,39,0,1.072490," ","integrate(x^((-1+n)*(1+p))*(b+2*c*x^n)*(b*x+c*x^(1+n))^p,x, algorithm=""maxima"")","\frac{{\left(c x^{2 \, n} + b x^{n}\right)} e^{\left(n p \log\left(x\right) + p \log\left(c x^{n} + b\right)\right)}}{n {\left(p + 1\right)}}"," ",0,"(c*x^(2*n) + b*x^n)*e^(n*p*log(x) + p*log(c*x^n + b))/(n*(p + 1))","A",0
177,1,26,0,0.780558," ","integrate((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, algorithm=""maxima"")","\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,"1/4*b*d*x^4 + 1/3*b*c*x^3 + 1/2*a*d*x^2 + a*c*x","A",0
178,1,10,0,0.471681," ","integrate((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, algorithm=""maxima"")","\frac{1}{2} \, d x^{2} + c x"," ",0,"1/2*d*x^2 + c*x","A",0
179,1,31,0,1.488983," ","integrate((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, algorithm=""maxima"")","\frac{c \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}} + \frac{d \log\left(b x^{2} + a\right)}{2 \, b}"," ",0,"c*arctan(b*x/sqrt(a*b))/sqrt(a*b) + 1/2*d*log(b*x^2 + a)/b","A",0
180,1,25,0,0.672305," ","integrate((3*d*x^2+2*c*x+b)*(d*x^3+c*x^2+b*x+a)^n,x, algorithm=""maxima"")","\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",0
181,1,24,0,0.629488," ","integrate((3*d*x^2+2*c*x+b)*(d*x^3+c*x^2+b*x)^n,x, algorithm=""maxima"")","\frac{{\left(d x^{3} + c x^{2} + b x\right)}^{n + 1}}{n + 1}"," ",0,"(d*x^3 + c*x^2 + b*x)^(n + 1)/(n + 1)","A",0
182,1,39,0,0.862430," ","integrate(x^n*(d*x^2+c*x+b)^n*(3*d*x^2+2*c*x+b),x, algorithm=""maxima"")","\frac{{\left(d x^{3} + c x^{2} + b x\right)} e^{\left(n \log\left(d x^{2} + c x + b\right) + n \log\left(x\right)\right)}}{n + 1}"," ",0,"(d*x^3 + c*x^2 + b*x)*e^(n*log(d*x^2 + c*x + b) + n*log(x))/(n + 1)","A",0
183,1,20,0,0.651280," ","integrate((3*d*x^2+b)*(d*x^3+b*x+a)^n,x, algorithm=""maxima"")","\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",0
184,1,19,0,0.533733," ","integrate((3*d*x^2+b)*(d*x^3+b*x)^n,x, algorithm=""maxima"")","\frac{{\left(d x^{3} + b x\right)}^{n + 1}}{n + 1}"," ",0,"(d*x^3 + b*x)^(n + 1)/(n + 1)","A",0
185,1,31,0,1.208563," ","integrate(x^n*(d*x^2+b)^n*(3*d*x^2+b),x, algorithm=""maxima"")","\frac{{\left(d x^{3} + b x\right)} e^{\left(n \log\left(d x^{2} + b\right) + n \log\left(x\right)\right)}}{n + 1}"," ",0,"(d*x^3 + b*x)*e^(n*log(d*x^2 + b) + n*log(x))/(n + 1)","A",0
186,1,22,0,0.661131," ","integrate((3*d*x^2+2*c*x)*(d*x^3+c*x^2+a)^n,x, algorithm=""maxima"")","\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",0
187,1,21,0,0.593672," ","integrate((3*d*x^2+2*c*x)*(d*x^3+c*x^2)^n,x, algorithm=""maxima"")","\frac{{\left(d x^{3} + c x^{2}\right)}^{n + 1}}{n + 1}"," ",0,"(d*x^3 + c*x^2)^(n + 1)/(n + 1)","A",0
188,1,32,0,0.826102," ","integrate(x^n*(d*x^2+c*x)^n*(3*d*x^2+2*c*x),x, algorithm=""maxima"")","\frac{{\left(d x^{3} + c x^{2}\right)} e^{\left(n \log\left(d x + c\right) + 2 \, n \log\left(x\right)\right)}}{n + 1}"," ",0,"(d*x^3 + c*x^2)*e^(n*log(d*x + c) + 2*n*log(x))/(n + 1)","A",0
189,1,32,0,0.895497," ","integrate(x^(2*n)*(d*x+c)^n*(3*d*x^2+2*c*x),x, algorithm=""maxima"")","\frac{{\left(d x^{3} + c x^{2}\right)} e^{\left(n \log\left(d x + c\right) + 2 \, n \log\left(x\right)\right)}}{n + 1}"," ",0,"(d*x^3 + c*x^2)*e^(n*log(d*x + c) + 2*n*log(x))/(n + 1)","A",0
190,1,32,0,0.751490," ","integrate(x*(3*d*x+2*c)*(d*x^3+c*x^2+a)^n,x, algorithm=""maxima"")","\frac{{\left(d x^{3} + c x^{2} + a\right)} {\left(d x^{3} + c x^{2} + a\right)}^{n}}{n + 1}"," ",0,"(d*x^3 + c*x^2 + a)*(d*x^3 + c*x^2 + a)^n/(n + 1)","A",0
191,1,32,0,0.929733," ","integrate(x*(3*d*x+2*c)*(d*x^3+c*x^2)^n,x, algorithm=""maxima"")","\frac{{\left(d x^{3} + c x^{2}\right)} e^{\left(n \log\left(d x + c\right) + 2 \, n \log\left(x\right)\right)}}{n + 1}"," ",0,"(d*x^3 + c*x^2)*e^(n*log(d*x + c) + 2*n*log(x))/(n + 1)","A",0
192,1,19,0,0.740160," ","integrate((3*d*x^2+2*c*x+b)*(d*x^3+c*x^2+b*x+a)^7,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(d x^{3} + c x^{2} + b x + a\right)}^{8}"," ",0,"1/8*(d*x^3 + c*x^2 + b*x + a)^8","A",0
193,1,18,0,0.633232," ","integrate((3*d*x^2+2*c*x+b)*(d*x^3+c*x^2+b*x)^7,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(d x^{3} + c x^{2} + b x\right)}^{8}"," ",0,"1/8*(d*x^3 + c*x^2 + b*x)^8","A",0
194,1,441,0,0.600878," ","integrate(x^7*(d*x^2+c*x+b)^7*(3*d*x^2+2*c*x+b),x, algorithm=""maxima"")","\frac{1}{8} \, d^{8} x^{24} + c d^{7} x^{23} + \frac{1}{2} \, {\left(7 \, c^{2} d^{6} + 2 \, b d^{7}\right)} x^{22} + 7 \, {\left(c^{3} d^{5} + b c d^{6}\right)} x^{21} + \frac{7}{4} \, {\left(5 \, c^{4} d^{4} + 12 \, b c^{2} d^{5} + 2 \, b^{2} d^{6}\right)} x^{20} + 7 \, {\left(c^{5} d^{3} + 5 \, b c^{3} d^{4} + 3 \, b^{2} c d^{5}\right)} x^{19} + \frac{7}{2} \, {\left(c^{6} d^{2} + 10 \, b c^{4} d^{3} + 15 \, b^{2} c^{2} d^{4} + 2 \, b^{3} d^{5}\right)} x^{18} + {\left(c^{7} d + 21 \, b c^{5} d^{2} + 70 \, b^{2} c^{3} d^{3} + 35 \, b^{3} c d^{4}\right)} x^{17} + b^{7} c x^{9} + \frac{1}{8} \, {\left(c^{8} + 56 \, b c^{6} d + 420 \, b^{2} c^{4} d^{2} + 560 \, b^{3} c^{2} d^{3} + 70 \, b^{4} d^{4}\right)} x^{16} + \frac{1}{8} \, b^{8} x^{8} + {\left(b c^{7} + 21 \, b^{2} c^{5} d + 70 \, b^{3} c^{3} d^{2} + 35 \, b^{4} c d^{3}\right)} x^{15} + \frac{7}{2} \, {\left(b^{2} c^{6} + 10 \, b^{3} c^{4} d + 15 \, b^{4} c^{2} d^{2} + 2 \, b^{5} d^{3}\right)} x^{14} + 7 \, {\left(b^{3} c^{5} + 5 \, b^{4} c^{3} d + 3 \, b^{5} c d^{2}\right)} x^{13} + \frac{7}{4} \, {\left(5 \, b^{4} c^{4} + 12 \, b^{5} c^{2} d + 2 \, b^{6} d^{2}\right)} x^{12} + 7 \, {\left(b^{5} c^{3} + b^{6} c d\right)} x^{11} + \frac{1}{2} \, {\left(7 \, b^{6} c^{2} + 2 \, b^{7} d\right)} x^{10}"," ",0,"1/8*d^8*x^24 + c*d^7*x^23 + 1/2*(7*c^2*d^6 + 2*b*d^7)*x^22 + 7*(c^3*d^5 + b*c*d^6)*x^21 + 7/4*(5*c^4*d^4 + 12*b*c^2*d^5 + 2*b^2*d^6)*x^20 + 7*(c^5*d^3 + 5*b*c^3*d^4 + 3*b^2*c*d^5)*x^19 + 7/2*(c^6*d^2 + 10*b*c^4*d^3 + 15*b^2*c^2*d^4 + 2*b^3*d^5)*x^18 + (c^7*d + 21*b*c^5*d^2 + 70*b^2*c^3*d^3 + 35*b^3*c*d^4)*x^17 + b^7*c*x^9 + 1/8*(c^8 + 56*b*c^6*d + 420*b^2*c^4*d^2 + 560*b^3*c^2*d^3 + 70*b^4*d^4)*x^16 + 1/8*b^8*x^8 + (b*c^7 + 21*b^2*c^5*d + 70*b^3*c^3*d^2 + 35*b^4*c*d^3)*x^15 + 7/2*(b^2*c^6 + 10*b^3*c^4*d + 15*b^4*c^2*d^2 + 2*b^5*d^3)*x^14 + 7*(b^3*c^5 + 5*b^4*c^3*d + 3*b^5*c*d^2)*x^13 + 7/4*(5*b^4*c^4 + 12*b^5*c^2*d + 2*b^6*d^2)*x^12 + 7*(b^5*c^3 + b^6*c*d)*x^11 + 1/2*(7*b^6*c^2 + 2*b^7*d)*x^10","B",0
195,1,14,0,0.549285," ","integrate((3*d*x^2+b)*(d*x^3+b*x+a)^7,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(d x^{3} + b x + a\right)}^{8}"," ",0,"1/8*(d*x^3 + b*x + a)^8","A",0
196,1,13,0,0.510804," ","integrate((3*d*x^2+b)*(d*x^3+b*x)^7,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(d x^{3} + b x\right)}^{8}"," ",0,"1/8*(d*x^3 + b*x)^8","A",0
197,1,88,0,0.644956," ","integrate(x^7*(d*x^2+b)^7*(3*d*x^2+b),x, algorithm=""maxima"")","\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",0
198,1,16,0,0.622719," ","integrate((3*d*x^2+2*c*x)*(d*x^3+c*x^2+a)^7,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(d x^{3} + c x^{2} + a\right)}^{8}"," ",0,"1/8*(d*x^3 + c*x^2 + a)^8","A",0
199,1,15,0,0.660905," ","integrate((3*d*x^2+2*c*x)*(d*x^3+c*x^2)^7,x, algorithm=""maxima"")","\frac{1}{8} \, {\left(d x^{3} + c x^{2}\right)}^{8}"," ",0,"1/8*(d*x^3 + c*x^2)^8","A",0
200,1,88,0,0.524723," ","integrate(x^7*(d*x^2+c*x)^7*(3*d*x^2+2*c*x),x, algorithm=""maxima"")","\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",0
201,1,88,0,0.658907," ","integrate(x^14*(d*x+c)^7*(3*d*x^2+2*c*x),x, algorithm=""maxima"")","\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",0
202,1,458,0,0.594558," ","integrate(x*(3*d*x+2*c)*(d*x^3+c*x^2+a)^7,x, algorithm=""maxima"")","\frac{1}{8} \, d^{8} x^{24} + c d^{7} x^{23} + \frac{7}{2} \, c^{2} d^{6} x^{22} + {\left(7 \, c^{3} d^{5} + a d^{7}\right)} x^{21} + \frac{7}{4} \, {\left(5 \, c^{4} d^{4} + 4 \, a c d^{6}\right)} x^{20} + 7 \, {\left(c^{5} d^{3} + 3 \, a c^{2} d^{5}\right)} x^{19} + \frac{7}{2} \, {\left(c^{6} d^{2} + 10 \, a c^{3} d^{4} + a^{2} d^{6}\right)} x^{18} + {\left(c^{7} d + 35 \, a c^{4} d^{3} + 21 \, a^{2} c d^{5}\right)} x^{17} + \frac{1}{8} \, {\left(c^{8} + 168 \, a c^{5} d^{2} + 420 \, a^{2} c^{2} d^{4}\right)} x^{16} + 7 \, {\left(a c^{6} d + 10 \, a^{2} c^{3} d^{3} + a^{3} d^{5}\right)} x^{15} + 21 \, a^{5} c^{2} d x^{7} + \frac{1}{2} \, {\left(2 \, a c^{7} + 105 \, a^{2} c^{4} d^{2} + 70 \, a^{3} c d^{4}\right)} x^{14} + 7 \, {\left(3 \, a^{2} c^{5} d + 10 \, a^{3} c^{2} d^{3}\right)} x^{13} + 7 \, a^{6} c d x^{5} + \frac{7}{4} \, {\left(2 \, a^{2} c^{6} + 40 \, a^{3} c^{3} d^{2} + 5 \, a^{4} d^{4}\right)} x^{12} + \frac{7}{2} \, a^{6} c^{2} x^{4} + 35 \, {\left(a^{3} c^{4} d + a^{4} c d^{3}\right)} x^{11} + a^{7} d x^{3} + \frac{7}{2} \, {\left(2 \, a^{3} c^{5} + 15 \, a^{4} c^{2} d^{2}\right)} x^{10} + a^{7} c x^{2} + 7 \, {\left(5 \, a^{4} c^{3} d + a^{5} d^{3}\right)} x^{9} + \frac{7}{4} \, {\left(5 \, a^{4} c^{4} + 12 \, a^{5} c d^{2}\right)} x^{8} + \frac{7}{2} \, {\left(2 \, a^{5} c^{3} + a^{6} d^{2}\right)} x^{6}"," ",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 + a*d^7)*x^21 + 7/4*(5*c^4*d^4 + 4*a*c*d^6)*x^20 + 7*(c^5*d^3 + 3*a*c^2*d^5)*x^19 + 7/2*(c^6*d^2 + 10*a*c^3*d^4 + a^2*d^6)*x^18 + (c^7*d + 35*a*c^4*d^3 + 21*a^2*c*d^5)*x^17 + 1/8*(c^8 + 168*a*c^5*d^2 + 420*a^2*c^2*d^4)*x^16 + 7*(a*c^6*d + 10*a^2*c^3*d^3 + a^3*d^5)*x^15 + 21*a^5*c^2*d*x^7 + 1/2*(2*a*c^7 + 105*a^2*c^4*d^2 + 70*a^3*c*d^4)*x^14 + 7*(3*a^2*c^5*d + 10*a^3*c^2*d^3)*x^13 + 7*a^6*c*d*x^5 + 7/4*(2*a^2*c^6 + 40*a^3*c^3*d^2 + 5*a^4*d^4)*x^12 + 7/2*a^6*c^2*x^4 + 35*(a^3*c^4*d + a^4*c*d^3)*x^11 + a^7*d*x^3 + 7/2*(2*a^3*c^5 + 15*a^4*c^2*d^2)*x^10 + a^7*c*x^2 + 7*(5*a^4*c^3*d + a^5*d^3)*x^9 + 7/4*(5*a^4*c^4 + 12*a^5*c*d^2)*x^8 + 7/2*(2*a^5*c^3 + a^6*d^2)*x^6","B",0
203,1,88,0,0.597790," ","integrate(x*(3*d*x+2*c)*(d*x^3+c*x^2)^7,x, algorithm=""maxima"")","\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",0
204,1,88,0,0.570287," ","integrate(x^8*(3*d*x+2*c)*(d*x^2+c*x)^7,x, algorithm=""maxima"")","\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",0
205,1,88,0,0.670377," ","integrate(x^15*(d*x+c)^7*(3*d*x+2*c),x, algorithm=""maxima"")","\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",0
206,1,66,0,0.609890," ","integrate((b*x+a)*(1+(a*x+1/2*b*x^2)^4),x, algorithm=""maxima"")","\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",0
207,1,187,0,0.437922," ","integrate((b*x+a)*(1+(c+a*x+1/2*b*x^2)^4),x, algorithm=""maxima"")","\frac{1}{160} \, b^{5} x^{10} + \frac{1}{16} \, a b^{4} x^{9} + \frac{1}{16} \, {\left(4 \, a^{2} b^{3} + b^{4} c\right)} x^{8} + \frac{1}{2} \, {\left(a^{3} b^{2} + a b^{3} c\right)} x^{7} + \frac{1}{4} \, {\left(2 \, a^{4} b + 6 \, a^{2} b^{2} c + b^{3} c^{2}\right)} x^{6} + \frac{1}{10} \, {\left(2 \, a^{5} + 20 \, a^{3} b c + 15 \, a b^{2} c^{2}\right)} x^{5} + \frac{1}{2} \, {\left(2 \, a^{4} c + 6 \, a^{2} b c^{2} + b^{2} c^{3}\right)} x^{4} + 2 \, {\left(a^{3} c^{2} + a b c^{3}\right)} x^{3} + \frac{1}{2} \, {\left(4 \, a^{2} c^{3} + b c^{4} + b\right)} x^{2} + {\left(a c^{4} + a\right)} x"," ",0,"1/160*b^5*x^10 + 1/16*a*b^4*x^9 + 1/16*(4*a^2*b^3 + b^4*c)*x^8 + 1/2*(a^3*b^2 + a*b^3*c)*x^7 + 1/4*(2*a^4*b + 6*a^2*b^2*c + b^3*c^2)*x^6 + 1/10*(2*a^5 + 20*a^3*b*c + 15*a*b^2*c^2)*x^5 + 1/2*(2*a^4*c + 6*a^2*b*c^2 + b^2*c^3)*x^4 + 2*(a^3*c^2 + a*b*c^3)*x^3 + 1/2*(4*a^2*c^3 + b*c^4 + b)*x^2 + (a*c^4 + a)*x","B",0
208,1,52,0,1.133335," ","integrate((b*x+a)*(1+(a*x+1/2*b*x^2)^n),x, algorithm=""maxima"")","\frac{1}{2} \, b x^{2} + a x + \frac{{\left(b x^{2} + 2 \, a x\right)} e^{\left(n \log\left(b x + 2 \, a\right) + n \log\left(x\right)\right)}}{2^{n + 1} n + 2^{n + 1}}"," ",0,"1/2*b*x^2 + a*x + (b*x^2 + 2*a*x)*e^(n*log(b*x + 2*a) + n*log(x))/(2^(n + 1)*n + 2^(n + 1))","A",0
209,1,54,0,1.158548," ","integrate((b*x+a)*(1+(c+a*x+1/2*b*x^2)^n),x, algorithm=""maxima"")","\frac{1}{2} \, b x^{2} + a x + \frac{{\left(b x^{2} + 2 \, a x + 2 \, c\right)} {\left(b x^{2} + 2 \, a x + 2 \, c\right)}^{n}}{2^{n + 1} n + 2^{n + 1}}"," ",0,"1/2*b*x^2 + a*x + (b*x^2 + 2*a*x + 2*c)*(b*x^2 + 2*a*x + 2*c)^n/(2^(n + 1)*n + 2^(n + 1))","A",0
210,1,77,0,0.437687," ","integrate((c*x^2+a)*(1+(a*x+1/3*c*x^3)^5),x, algorithm=""maxima"")","\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",0
211,1,280,0,0.455044," ","integrate((c*x^2+a)*(1+(d+a*x+1/3*c*x^3)^5),x, algorithm=""maxima"")","\frac{1}{4374} \, c^{6} x^{18} + \frac{1}{243} \, a c^{5} x^{16} + \frac{1}{243} \, c^{5} d x^{15} + \frac{5}{162} \, a^{2} c^{4} x^{14} + \frac{5}{81} \, a c^{4} d x^{13} + \frac{10}{27} \, a^{2} c^{3} d x^{11} + \frac{5}{162} \, {\left(4 \, a^{3} c^{3} + c^{4} d^{2}\right)} x^{12} + \frac{5}{54} \, {\left(3 \, a^{4} c^{2} + 4 \, a c^{3} d^{2}\right)} x^{10} + \frac{10}{81} \, {\left(9 \, a^{3} c^{2} d + c^{3} d^{3}\right)} x^{9} + \frac{1}{3} \, {\left(a^{5} c + 5 \, a^{2} c^{2} d^{2}\right)} x^{8} + \frac{5}{2} \, a^{2} d^{4} x^{2} + \frac{5}{9} \, {\left(3 \, a^{4} c d + 2 \, a c^{2} d^{3}\right)} x^{7} + \frac{1}{18} \, {\left(3 \, a^{6} + 60 \, a^{3} c d^{2} + 5 \, c^{2} d^{4}\right)} x^{6} + \frac{1}{3} \, {\left(3 \, a^{5} d + 10 \, a^{2} c d^{3}\right)} x^{5} + \frac{5}{6} \, {\left(3 \, a^{4} d^{2} + 2 \, a c d^{4}\right)} x^{4} + \frac{1}{3} \, {\left(10 \, a^{3} d^{3} + c d^{5} + c\right)} x^{3} + {\left(a d^{5} + a\right)} 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 + 10/27*a^2*c^3*d*x^11 + 5/162*(4*a^3*c^3 + c^4*d^2)*x^12 + 5/54*(3*a^4*c^2 + 4*a*c^3*d^2)*x^10 + 10/81*(9*a^3*c^2*d + c^3*d^3)*x^9 + 1/3*(a^5*c + 5*a^2*c^2*d^2)*x^8 + 5/2*a^2*d^4*x^2 + 5/9*(3*a^4*c*d + 2*a*c^2*d^3)*x^7 + 1/18*(3*a^6 + 60*a^3*c*d^2 + 5*c^2*d^4)*x^6 + 1/3*(3*a^5*d + 10*a^2*c*d^3)*x^5 + 5/6*(3*a^4*d^2 + 2*a*c*d^4)*x^4 + 1/3*(10*a^3*d^3 + c*d^5 + c)*x^3 + (a*d^5 + a)*x","B",0
212,1,80,0,0.439391," ","integrate((c*x^2+b*x)*(1+(1/2*b*x^2+1/3*c*x^3)^5),x, algorithm=""maxima"")","\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",0
213,1,289,0,0.446072," ","integrate((c*x^2+b*x)*(1+(d+1/2*b*x^2+1/3*c*x^3)^5),x, algorithm=""maxima"")","\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{1}{972} \, {\left(15 \, b^{3} c^{3} + 4 \, c^{5} d\right)} x^{15} + \frac{5}{2592} \, {\left(9 \, b^{4} c^{2} + 16 \, b c^{4} d\right)} x^{14} + \frac{1}{864} \, {\left(9 \, b^{5} c + 80 \, b^{2} c^{3} d\right)} x^{13} + \frac{5}{6} \, b^{2} c d^{3} x^{7} + \frac{1}{10368} \, {\left(27 \, b^{6} + 1440 \, b^{3} c^{2} d + 320 \, c^{4} d^{2}\right)} x^{12} + \frac{5}{432} \, {\left(9 \, b^{4} c d + 16 \, b c^{3} d^{2}\right)} x^{11} + \frac{5}{6} \, b c d^{4} x^{5} + \frac{1}{96} \, {\left(3 \, b^{5} d + 40 \, b^{2} c^{2} d^{2}\right)} x^{10} + \frac{5}{8} \, b^{2} d^{4} x^{4} + \frac{5}{324} \, {\left(27 \, b^{3} c d^{2} + 8 \, c^{3} d^{3}\right)} x^{9} + \frac{5}{288} \, {\left(9 \, b^{4} d^{2} + 32 \, b c^{2} d^{3}\right)} x^{8} + \frac{5}{36} \, {\left(3 \, b^{3} d^{3} + 2 \, c^{2} d^{4}\right)} x^{6} + \frac{1}{3} \, {\left(c d^{5} + c\right)} x^{3} + \frac{1}{2} \, {\left(b d^{5} + b\right)} x^{2}"," ",0,"1/4374*c^6*x^18 + 1/486*b*c^5*x^17 + 5/648*b^2*c^4*x^16 + 1/972*(15*b^3*c^3 + 4*c^5*d)*x^15 + 5/2592*(9*b^4*c^2 + 16*b*c^4*d)*x^14 + 1/864*(9*b^5*c + 80*b^2*c^3*d)*x^13 + 5/6*b^2*c*d^3*x^7 + 1/10368*(27*b^6 + 1440*b^3*c^2*d + 320*c^4*d^2)*x^12 + 5/432*(9*b^4*c*d + 16*b*c^3*d^2)*x^11 + 5/6*b*c*d^4*x^5 + 1/96*(3*b^5*d + 40*b^2*c^2*d^2)*x^10 + 5/8*b^2*d^4*x^4 + 5/324*(27*b^3*c*d^2 + 8*c^3*d^3)*x^9 + 5/288*(9*b^4*d^2 + 32*b*c^2*d^3)*x^8 + 5/36*(3*b^3*d^3 + 2*c^2*d^4)*x^6 + 1/3*(c*d^5 + c)*x^3 + 1/2*(b*d^5 + b)*x^2","B",0
214,1,289,0,0.453124," ","integrate((c*x^2+b*x+a)*(1+(a*x+1/2*b*x^2+1/3*c*x^3)^5),x, algorithm=""maxima"")","\frac{1}{4374} \, c^{6} x^{18} + \frac{1}{486} \, b c^{5} x^{17} + \frac{1}{1944} \, {\left(15 \, b^{2} c^{4} + 8 \, a c^{5}\right)} x^{16} + \frac{5}{324} \, {\left(b^{3} c^{3} + 2 \, a b c^{4}\right)} x^{15} + \frac{5}{2592} \, {\left(9 \, b^{4} c^{2} + 48 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}\right)} x^{14} + \frac{1}{864} \, {\left(9 \, b^{5} c + 120 \, a b^{3} c^{2} + 160 \, a^{2} b c^{3}\right)} x^{13} + \frac{1}{2} \, a^{5} b x^{7} + \frac{1}{10368} \, {\left(27 \, b^{6} + 1080 \, a b^{4} c + 4320 \, a^{2} b^{2} c^{2} + 1280 \, a^{3} c^{3}\right)} x^{12} + \frac{1}{6} \, a^{6} x^{6} + \frac{1}{288} \, {\left(9 \, a b^{5} + 120 \, a^{2} b^{3} c + 160 \, a^{3} b c^{2}\right)} x^{11} + \frac{5}{288} \, {\left(9 \, a^{2} b^{4} + 48 \, a^{3} b^{2} c + 16 \, a^{4} c^{2}\right)} x^{10} + \frac{5}{12} \, {\left(a^{3} b^{3} + 2 \, a^{4} b c\right)} x^{9} + \frac{1}{24} \, {\left(15 \, a^{4} b^{2} + 8 \, a^{5} c\right)} x^{8} + \frac{1}{3} \, c x^{3} + \frac{1}{2} \, b x^{2} + a x"," ",0,"1/4374*c^6*x^18 + 1/486*b*c^5*x^17 + 1/1944*(15*b^2*c^4 + 8*a*c^5)*x^16 + 5/324*(b^3*c^3 + 2*a*b*c^4)*x^15 + 5/2592*(9*b^4*c^2 + 48*a*b^2*c^3 + 16*a^2*c^4)*x^14 + 1/864*(9*b^5*c + 120*a*b^3*c^2 + 160*a^2*b*c^3)*x^13 + 1/2*a^5*b*x^7 + 1/10368*(27*b^6 + 1080*a*b^4*c + 4320*a^2*b^2*c^2 + 1280*a^3*c^3)*x^12 + 1/6*a^6*x^6 + 1/288*(9*a*b^5 + 120*a^2*b^3*c + 160*a^3*b*c^2)*x^11 + 5/288*(9*a^2*b^4 + 48*a^3*b^2*c + 16*a^4*c^2)*x^10 + 5/12*(a^3*b^3 + 2*a^4*b*c)*x^9 + 1/24*(15*a^4*b^2 + 8*a^5*c)*x^8 + 1/3*c*x^3 + 1/2*b*x^2 + a*x","B",0
215,1,773,0,0.480406," ","integrate((c*x^2+b*x+a)*(1+(d+a*x+1/2*b*x^2+1/3*c*x^3)^5),x, algorithm=""maxima"")","\frac{1}{4374} \, c^{6} x^{18} + \frac{1}{486} \, b c^{5} x^{17} + \frac{1}{1944} \, {\left(15 \, b^{2} c^{4} + 8 \, a c^{5}\right)} x^{16} + \frac{1}{972} \, {\left(15 \, b^{3} c^{3} + 30 \, a b c^{4} + 4 \, c^{5} d\right)} x^{15} + \frac{5}{2592} \, {\left(9 \, b^{4} c^{2} + 48 \, a b^{2} c^{3} + 16 \, a^{2} c^{4} + 16 \, b c^{4} d\right)} x^{14} + \frac{1}{2592} \, {\left(27 \, b^{5} c + 360 \, a b^{3} c^{2} + 480 \, a^{2} b c^{3} + 80 \, {\left(3 \, b^{2} c^{3} + 2 \, a c^{4}\right)} d\right)} x^{13} + \frac{1}{10368} \, {\left(27 \, b^{6} + 1080 \, a b^{4} c + 4320 \, a^{2} b^{2} c^{2} + 1280 \, a^{3} c^{3} + 320 \, c^{4} d^{2} + 480 \, {\left(3 \, b^{3} c^{2} + 8 \, a b c^{3}\right)} d\right)} x^{12} + \frac{1}{864} \, {\left(27 \, a b^{5} + 360 \, a^{2} b^{3} c + 480 \, a^{3} b c^{2} + 160 \, b c^{3} d^{2} + 10 \, {\left(9 \, b^{4} c + 72 \, a b^{2} c^{2} + 32 \, a^{2} c^{3}\right)} d\right)} x^{11} + \frac{1}{864} \, {\left(135 \, a^{2} b^{4} + 720 \, a^{3} b^{2} c + 240 \, a^{4} c^{2} + 40 \, {\left(9 \, b^{2} c^{2} + 8 \, a c^{3}\right)} d^{2} + 9 \, {\left(3 \, b^{5} + 80 \, a b^{3} c + 160 \, a^{2} b c^{2}\right)} d\right)} x^{10} + \frac{5}{1296} \, {\left(108 \, a^{3} b^{3} + 216 \, a^{4} b c + 32 \, c^{3} d^{3} + 108 \, {\left(b^{3} c + 4 \, a b c^{2}\right)} d^{2} + 9 \, {\left(9 \, a b^{4} + 72 \, a^{2} b^{2} c + 32 \, a^{3} c^{2}\right)} d\right)} x^{9} + \frac{1}{288} \, {\left(180 \, a^{4} b^{2} + 96 \, a^{5} c + 160 \, b c^{2} d^{3} + 15 \, {\left(3 \, b^{4} + 48 \, a b^{2} c + 32 \, a^{2} c^{2}\right)} d^{2} + 120 \, {\left(3 \, a^{2} b^{3} + 8 \, a^{3} b c\right)} d\right)} x^{8} + \frac{1}{36} \, {\left(18 \, a^{5} b + 10 \, {\left(3 \, b^{2} c + 4 \, a c^{2}\right)} d^{3} + 45 \, {\left(a b^{3} + 4 \, a^{2} b c\right)} d^{2} + 30 \, {\left(3 \, a^{3} b^{2} + 2 \, a^{4} c\right)} d\right)} x^{7} + \frac{1}{36} \, {\left(6 \, a^{6} + 90 \, a^{4} b d + 10 \, c^{2} d^{4} + 15 \, {\left(b^{3} + 8 \, a b c\right)} d^{3} + 15 \, {\left(9 \, a^{2} b^{2} + 8 \, a^{3} c\right)} d^{2}\right)} x^{6} + \frac{1}{6} \, {\left(6 \, a^{5} d + 30 \, a^{3} b d^{2} + 5 \, b c d^{4} + 5 \, {\left(3 \, a b^{2} + 4 \, a^{2} c\right)} d^{3}\right)} x^{5} + \frac{5}{24} \, {\left(12 \, a^{4} d^{2} + 24 \, a^{2} b d^{3} + {\left(3 \, b^{2} + 8 \, a c\right)} d^{4}\right)} x^{4} + \frac{1}{6} \, {\left(20 \, a^{3} d^{3} + 15 \, a b d^{4} + 2 \, c d^{5} + 2 \, c\right)} x^{3} + \frac{1}{2} \, {\left(5 \, a^{2} d^{4} + b d^{5} + b\right)} x^{2} + {\left(a d^{5} + a\right)} x"," ",0,"1/4374*c^6*x^18 + 1/486*b*c^5*x^17 + 1/1944*(15*b^2*c^4 + 8*a*c^5)*x^16 + 1/972*(15*b^3*c^3 + 30*a*b*c^4 + 4*c^5*d)*x^15 + 5/2592*(9*b^4*c^2 + 48*a*b^2*c^3 + 16*a^2*c^4 + 16*b*c^4*d)*x^14 + 1/2592*(27*b^5*c + 360*a*b^3*c^2 + 480*a^2*b*c^3 + 80*(3*b^2*c^3 + 2*a*c^4)*d)*x^13 + 1/10368*(27*b^6 + 1080*a*b^4*c + 4320*a^2*b^2*c^2 + 1280*a^3*c^3 + 320*c^4*d^2 + 480*(3*b^3*c^2 + 8*a*b*c^3)*d)*x^12 + 1/864*(27*a*b^5 + 360*a^2*b^3*c + 480*a^3*b*c^2 + 160*b*c^3*d^2 + 10*(9*b^4*c + 72*a*b^2*c^2 + 32*a^2*c^3)*d)*x^11 + 1/864*(135*a^2*b^4 + 720*a^3*b^2*c + 240*a^4*c^2 + 40*(9*b^2*c^2 + 8*a*c^3)*d^2 + 9*(3*b^5 + 80*a*b^3*c + 160*a^2*b*c^2)*d)*x^10 + 5/1296*(108*a^3*b^3 + 216*a^4*b*c + 32*c^3*d^3 + 108*(b^3*c + 4*a*b*c^2)*d^2 + 9*(9*a*b^4 + 72*a^2*b^2*c + 32*a^3*c^2)*d)*x^9 + 1/288*(180*a^4*b^2 + 96*a^5*c + 160*b*c^2*d^3 + 15*(3*b^4 + 48*a*b^2*c + 32*a^2*c^2)*d^2 + 120*(3*a^2*b^3 + 8*a^3*b*c)*d)*x^8 + 1/36*(18*a^5*b + 10*(3*b^2*c + 4*a*c^2)*d^3 + 45*(a*b^3 + 4*a^2*b*c)*d^2 + 30*(3*a^3*b^2 + 2*a^4*c)*d)*x^7 + 1/36*(6*a^6 + 90*a^4*b*d + 10*c^2*d^4 + 15*(b^3 + 8*a*b*c)*d^3 + 15*(9*a^2*b^2 + 8*a^3*c)*d^2)*x^6 + 1/6*(6*a^5*d + 30*a^3*b*d^2 + 5*b*c*d^4 + 5*(3*a*b^2 + 4*a^2*c)*d^3)*x^5 + 5/24*(12*a^4*d^2 + 24*a^2*b*d^3 + (3*b^2 + 8*a*c)*d^4)*x^4 + 1/6*(20*a^3*d^3 + 15*a*b*d^4 + 2*c*d^5 + 2*c)*x^3 + 1/2*(5*a^2*d^4 + b*d^5 + b)*x^2 + (a*d^5 + a)*x","B",0
216,1,54,0,1.143204," ","integrate((c*x^2+a)*(1+(a*x+1/3*c*x^3)^n),x, algorithm=""maxima"")","\frac{1}{3} \, c x^{3} + a x + \frac{{\left(c x^{3} + 3 \, a x\right)} e^{\left(n \log\left(c x^{2} + 3 \, a\right) + n \log\left(x\right)\right)}}{3^{n + 1} n + 3^{n + 1}}"," ",0,"1/3*c*x^3 + a*x + (c*x^3 + 3*a*x)*e^(n*log(c*x^2 + 3*a) + n*log(x))/(3^(n + 1)*n + 3^(n + 1))","A",0
217,1,71,0,1.172749," ","integrate((c*x^2+b*x)*(1+(1/2*b*x^2+1/3*c*x^3)^n),x, algorithm=""maxima"")","\frac{1}{3} \, c x^{3} + \frac{1}{2} \, b x^{2} + \frac{{\left(2 \, c x^{3} + 3 \, b x^{2}\right)} e^{\left(n \log\left(2 \, c x + 3 \, b\right) + 2 \, n \log\left(x\right)\right)}}{3^{n + 1} 2^{n + 1} n + 3^{n + 1} 2^{n + 1}}"," ",0,"1/3*c*x^3 + 1/2*b*x^2 + (2*c*x^3 + 3*b*x^2)*e^(n*log(2*c*x + 3*b) + 2*n*log(x))/(3^(n + 1)*2^(n + 1)*n + 3^(n + 1)*2^(n + 1))","A",0
218,1,83,0,1.218491," ","integrate((c*x^2+b*x+a)*(1+(a*x+1/2*b*x^2+1/3*c*x^3)^n),x, algorithm=""maxima"")","\frac{1}{3} \, c x^{3} + \frac{1}{2} \, b x^{2} + a x + \frac{{\left(2 \, c x^{3} + 3 \, b x^{2} + 6 \, a x\right)} e^{\left(n \log\left(2 \, c x^{2} + 3 \, b x + 6 \, a\right) + n \log\left(x\right)\right)}}{3^{n + 1} 2^{n + 1} n + 3^{n + 1} 2^{n + 1}}"," ",0,"1/3*c*x^3 + 1/2*b*x^2 + a*x + (2*c*x^3 + 3*b*x^2 + 6*a*x)*e^(n*log(2*c*x^2 + 3*b*x + 6*a) + n*log(x))/(3^(n + 1)*2^(n + 1)*n + 3^(n + 1)*2^(n + 1))","A",0
219,1,17,0,0.434004," ","integrate((x^2+4*x-4)*(x^3+6*x^2-12*x+5),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(x^{3} + 6 \, x^{2} - 12 \, x + 5\right)}^{2}"," ",0,"1/6*(x^3 + 6*x^2 - 12*x + 5)^2","A",0
220,1,14,0,0.438674," ","integrate((x^3+2*x)*(x^4+4*x^2+1),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(x^{4} + 4 \, x^{2} + 1\right)}^{2}"," ",0,"1/8*(x^4 + 4*x^2 + 1)^2","A",0
221,1,86,0,0.436573," ","integrate((1+2*x)*(x^2+x)^3*(-18+7*(x^2+x)^3)^2,x, algorithm=""maxima"")","\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",0
222,1,86,0,0.448936," ","integrate(x^3*(1+x)^3*(1+2*x)*(-18+7*x^3*(1+x)^3)^2,x, algorithm=""maxima"")","\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",0
223,1,12,0,0.436457," ","integrate((-x^2+2)/(x^3-6*x+1)^5,x, algorithm=""maxima"")","\frac{1}{12 \, {\left(x^{3} - 6 \, x + 1\right)}^{4}}"," ",0,"1/12/(x^3 - 6*x + 1)^4","A",0
224,1,13,0,0.441832," ","integrate((x^2+2*x)/(x^3+3*x^2+4),x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(x^{3} + 3 \, x^{2} + 4\right)"," ",0,"1/3*log(x^3 + 3*x^2 + 4)","A",0
225,1,15,0,0.447858," ","integrate((x^3+x+1)/(x^4+2*x^2+4*x),x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(x^{4} + 2 \, x^{2} + 4 \, x\right)"," ",0,"1/4*log(x^4 + 2*x^2 + 4*x)","A",0
226,1,23,0,0.503413," ","integrate((-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, algorithm=""maxima"")","\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",0
227,0,0,0,0.000000," ","integrate((D*x^3+C*x^2+B*x+A)/(a*x^4+b*x^3+c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{D x^{3} + C x^{2} + B x + A}{a x^{4} + b x^{3} + c x^{2} + b x + a}\,{d x}"," ",0,"integrate((D*x^3 + C*x^2 + B*x + A)/(a*x^4 + b*x^3 + c*x^2 + b*x + a), x)","F",0
228,0,0,0,0.000000," ","integrate((2*x^3-4*x^2+x+2)/(x^4-x^3+x^2-x+1),x, algorithm=""maxima"")","\int \frac{2 \, x^{3} - 4 \, x^{2} + x + 2}{x^{4} - x^{3} + x^{2} - x + 1}\,{d x}"," ",0,"integrate((2*x^3 - 4*x^2 + x + 2)/(x^4 - x^3 + x^2 - x + 1), x)","F",0
229,1,22,0,0.436080," ","integrate((x^3+3*x^2+3*x)/(x^4+4*x^3+6*x^2+4*x+1),x, algorithm=""maxima"")","\frac{1}{3 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)}} + \log\left(x + 1\right)"," ",0,"1/3/(x^3 + 3*x^2 + 3*x + 1) + log(x + 1)","A",0
230,1,32,0,0.445712," ","integrate((x^3-3*x^2+3*x-1)/(x^4+4*x^3+6*x^2+4*x+1),x, algorithm=""maxima"")","\frac{2 \, {\left(9 \, x^{2} + 9 \, x + 4\right)}}{3 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)}} + \log\left(x + 1\right)"," ",0,"2/3*(9*x^2 + 9*x + 4)/(x^3 + 3*x^2 + 3*x + 1) + log(x + 1)","A",0
231,1,38,0,0.463277," ","integrate((-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, algorithm=""maxima"")","\frac{13 \, x^{5} - 4 \, x^{2} + 3 \, x + 2}{x^{8} + 4 \, x^{6} + 10 \, x^{4} + 12 \, x^{2} + 9}"," ",0,"(13*x^5 - 4*x^2 + 3*x + 2)/(x^8 + 4*x^6 + 10*x^4 + 12*x^2 + 9)","A",0
232,1,11,0,0.438209," ","integrate((4*x^5-1)/(x^5+x+1)^2,x, algorithm=""maxima"")","-\frac{x}{x^{5} + x + 1}"," ",0,"-x/(x^5 + x + 1)","A",0
233,1,114,0,0.987442," ","integrate((x^2+1)/(-x^6+7*x^4-7*x^2+1)^2,x, algorithm=""maxima"")","\frac{1}{64} \, \sqrt{2} \log\left(\frac{x - \sqrt{2} + 1}{x + \sqrt{2} + 1}\right) + \frac{1}{64} \, \sqrt{2} \log\left(\frac{x - \sqrt{2} - 1}{x + \sqrt{2} - 1}\right) - \frac{7 \, x^{5} - 46 \, x^{3} + 31 \, x}{32 \, {\left(x^{6} - 7 \, x^{4} + 7 \, x^{2} - 1\right)}} + \frac{3}{128} \, \log\left(x^{2} + 2 \, x - 1\right) - \frac{3}{128} \, \log\left(x^{2} - 2 \, x - 1\right) + \frac{1}{8} \, \log\left(x + 1\right) - \frac{1}{8} \, \log\left(x - 1\right)"," ",0,"1/64*sqrt(2)*log((x - sqrt(2) + 1)/(x + sqrt(2) + 1)) + 1/64*sqrt(2)*log((x - sqrt(2) - 1)/(x + sqrt(2) - 1)) - 1/32*(7*x^5 - 46*x^3 + 31*x)/(x^6 - 7*x^4 + 7*x^2 - 1) + 3/128*log(x^2 + 2*x - 1) - 3/128*log(x^2 - 2*x - 1) + 1/8*log(x + 1) - 1/8*log(x - 1)","A",0
234,1,44,0,0.699384," ","integrate(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, algorithm=""maxima"")","{\left(d x^{4} + c x^{3} + b x^{2} + a x\right)} e^{\left(p \log\left(d x^{3} + c x^{2} + b x + a\right) + m \log\left(x\right)\right)}"," ",0,"(d*x^4 + c*x^3 + b*x^2 + a*x)*e^(p*log(d*x^3 + c*x^2 + b*x + a) + m*log(x))","A",0
235,1,39,0,0.656093," ","integrate(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, algorithm=""maxima"")","{\left(d x^{6} + c x^{5} + b x^{4} + a x^{3}\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}"," ",0,"(d*x^6 + c*x^5 + b*x^4 + a*x^3)*(d*x^3 + c*x^2 + b*x + a)^p","A",0
236,1,39,0,0.628658," ","integrate(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, algorithm=""maxima"")","{\left(d x^{5} + c x^{4} + b x^{3} + a x^{2}\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}"," ",0,"(d*x^5 + c*x^4 + b*x^3 + a*x^2)*(d*x^3 + c*x^2 + b*x + a)^p","A",0
237,1,37,0,0.608233," ","integrate((d*x^3+c*x^2+b*x+a)^p*(a+b*(2+p)*x+c*(3+2*p)*x^2+d*(4+3*p)*x^3),x, algorithm=""maxima"")","{\left(d x^{4} + c x^{3} + b x^{2} + a x\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}"," ",0,"(d*x^4 + c*x^3 + b*x^2 + a*x)*(d*x^3 + c*x^2 + b*x + a)^p","A",0
238,1,33,0,0.620785," ","integrate((d*x^3+c*x^2+b*x+a)^p*(b*(1+p)*x+c*(2+2*p)*x^2+d*(3+3*p)*x^3)/x,x, algorithm=""maxima"")","{\left(d x^{3} + c x^{2} + b x + a\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}"," ",0,"(d*x^3 + c*x^2 + b*x + a)*(d*x^3 + c*x^2 + b*x + a)^p","A",0
239,1,36,0,0.618691," ","integrate((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, algorithm=""maxima"")","\frac{{\left(d x^{3} + c x^{2} + b x + a\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}}{x}"," ",0,"(d*x^3 + c*x^2 + b*x + a)*(d*x^3 + c*x^2 + b*x + a)^p/x","A",0
240,1,36,0,0.635593," ","integrate((d*x^3+c*x^2+b*x+a)^p*(-2*a+b*(-1+p)*x+2*c*p*x^2+d*(1+3*p)*x^3)/x^3,x, algorithm=""maxima"")","\frac{{\left(d x^{3} + c x^{2} + b x + a\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}}{x^{2}}"," ",0,"(d*x^3 + c*x^2 + b*x + a)*(d*x^3 + c*x^2 + b*x + a)^p/x^2","A",0
241,1,36,0,0.641513," ","integrate((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, algorithm=""maxima"")","\frac{{\left(d x^{3} + c x^{2} + b x + a\right)} {\left(d x^{3} + c x^{2} + b x + a\right)}^{p}}{x^{3}}"," ",0,"(d*x^3 + c*x^2 + b*x + a)*(d*x^3 + c*x^2 + b*x + a)^p/x^3","A",0
242,1,73,0,1.520362," ","integrate(x^4*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} + \frac{1}{3} \, x^{3} - \frac{3}{4} \, x^{2} - \frac{1}{72} \, \sqrt{15} \arctan\left(\frac{1}{15} \, \sqrt{15} {\left(4 \, x - 1\right)}\right) - \frac{10}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{5}{4} \, x - \frac{13}{48} \, \log\left(2 \, x^{2} - x + 2\right) + \frac{1}{3} \, \log\left(x^{2} + x + 1\right)"," ",0,"1/4*x^4 + 1/3*x^3 - 3/4*x^2 - 1/72*sqrt(15)*arctan(1/15*sqrt(15)*(4*x - 1)) - 10/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 5/4*x - 13/48*log(2*x^2 - x + 2) + 1/3*log(x^2 + x + 1)","A",0
243,1,68,0,1.879929," ","integrate(x^3*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, x^{2} - \frac{5}{36} \, \sqrt{15} \arctan\left(\frac{1}{15} \, \sqrt{15} {\left(4 \, x - 1\right)}\right) + \frac{8}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{3}{2} \, x - \frac{1}{24} \, \log\left(2 \, x^{2} - x + 2\right) + \frac{2}{3} \, \log\left(x^{2} + x + 1\right)"," ",0,"1/3*x^3 + 1/2*x^2 - 5/36*sqrt(15)*arctan(1/15*sqrt(15)*(4*x - 1)) + 8/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 3/2*x - 1/24*log(2*x^2 - x + 2) + 2/3*log(x^2 + x + 1)","A",0
244,1,61,0,1.441243," ","integrate(x^2*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{1}{18} \, \sqrt{15} \arctan\left(\frac{1}{15} \, \sqrt{15} {\left(4 \, x - 1\right)}\right) + \frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + x + \frac{1}{4} \, \log\left(2 \, x^{2} - x + 2\right) - \log\left(x^{2} + x + 1\right)"," ",0,"1/2*x^2 - 1/18*sqrt(15)*arctan(1/15*sqrt(15)*(4*x - 1)) + 2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + x + 1/4*log(2*x^2 - x + 2) - log(x^2 + x + 1)","A",0
245,1,56,0,1.585598," ","integrate(x*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{15} \arctan\left(\frac{1}{15} \, \sqrt{15} {\left(4 \, x - 1\right)}\right) - \frac{10}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + x + \frac{1}{6} \, \log\left(2 \, x^{2} - x + 2\right) + \frac{1}{3} \, \log\left(x^{2} + x + 1\right)"," ",0,"1/9*sqrt(15)*arctan(1/15*sqrt(15)*(4*x - 1)) - 10/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + x + 1/6*log(2*x^2 - x + 2) + 1/3*log(x^2 + x + 1)","A",0
246,1,55,0,1.315987," ","integrate((2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""maxima"")","\frac{1}{9} \, \sqrt{15} \arctan\left(\frac{1}{15} \, \sqrt{15} {\left(4 \, x - 1\right)}\right) + \frac{8}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{6} \, \log\left(2 \, x^{2} - x + 2\right) + \frac{2}{3} \, \log\left(x^{2} + x + 1\right)"," ",0,"1/9*sqrt(15)*arctan(1/15*sqrt(15)*(4*x - 1)) + 8/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*log(2*x^2 - x + 2) + 2/3*log(x^2 + x + 1)","A",0
247,1,59,0,1.571144," ","integrate((2*x^3+3*x^2+x+5)/x/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""maxima"")","-\frac{1}{18} \, \sqrt{15} \arctan\left(\frac{1}{15} \, \sqrt{15} {\left(4 \, x - 1\right)}\right) + \frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{4} \, \log\left(2 \, x^{2} - x + 2\right) - \log\left(x^{2} + x + 1\right) + \frac{5}{2} \, \log\left(x\right)"," ",0,"-1/18*sqrt(15)*arctan(1/15*sqrt(15)*(4*x - 1)) + 2/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/4*log(2*x^2 - x + 2) - log(x^2 + x + 1) + 5/2*log(x)","A",0
248,1,64,0,1.440713," ","integrate((2*x^3+3*x^2+x+5)/x^2/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""maxima"")","-\frac{5}{36} \, \sqrt{15} \arctan\left(\frac{1}{15} \, \sqrt{15} {\left(4 \, x - 1\right)}\right) - \frac{10}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{5}{2 \, x} + \frac{1}{24} \, \log\left(2 \, x^{2} - x + 2\right) + \frac{1}{3} \, \log\left(x^{2} + x + 1\right) - \frac{3}{4} \, \log\left(x\right)"," ",0,"-5/36*sqrt(15)*arctan(1/15*sqrt(15)*(4*x - 1)) - 10/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 5/2/x + 1/24*log(2*x^2 - x + 2) + 1/3*log(x^2 + x + 1) - 3/4*log(x)","A",0
249,1,69,0,1.263947," ","integrate((2*x^3+3*x^2+x+5)/x^3/(2*x^4+x^3+3*x^2+x+2),x, algorithm=""maxima"")","-\frac{1}{72} \, \sqrt{15} \arctan\left(\frac{1}{15} \, \sqrt{15} {\left(4 \, x - 1\right)}\right) + \frac{8}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{3 \, x - 5}{4 \, x^{2}} + \frac{13}{48} \, \log\left(2 \, x^{2} - x + 2\right) + \frac{2}{3} \, \log\left(x^{2} + x + 1\right) - \frac{15}{8} \, \log\left(x\right)"," ",0,"-1/72*sqrt(15)*arctan(1/15*sqrt(15)*(4*x - 1)) + 8/9*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/4*(3*x - 5)/x^2 + 13/48*log(2*x^2 - x + 2) + 2/3*log(x^2 + x + 1) - 15/8*log(x)","A",0
250,0,0,0,0.000000," ","integrate(x^3*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, x^{2} - \frac{5}{2} \, x + \frac{1}{2} \, \int \frac{3 \, x^{3} + 19 \, x^{2} + x + 10}{2 \, x^{4} + x^{3} + 5 \, x^{2} + x + 2}\,{d x}"," ",0,"1/3*x^3 + 1/2*x^2 - 5/2*x + 1/2*integrate((3*x^3 + 19*x^2 + x + 10)/(2*x^4 + x^3 + 5*x^2 + x + 2), x)","F",0
251,0,0,0,0.000000," ","integrate(x^2*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + x - \int \frac{5 \, x^{3} + x^{2} + 3 \, x + 2}{2 \, x^{4} + x^{3} + 5 \, x^{2} + x + 2}\,{d x}"," ",0,"1/2*x^2 + x - integrate((5*x^3 + x^2 + 3*x + 2)/(2*x^4 + x^3 + 5*x^2 + x + 2), x)","F",0
252,0,0,0,0.000000," ","integrate(x*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""maxima"")","x + 2 \, \int \frac{x^{3} - 2 \, x^{2} + 2 \, x - 1}{2 \, x^{4} + x^{3} + 5 \, x^{2} + x + 2}\,{d x}"," ",0,"x + 2*integrate((x^3 - 2*x^2 + 2*x - 1)/(2*x^4 + x^3 + 5*x^2 + x + 2), x)","F",0
253,0,0,0,0.000000," ","integrate((2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""maxima"")","\int \frac{2 \, x^{3} + 3 \, x^{2} + x + 5}{2 \, x^{4} + x^{3} + 5 \, x^{2} + x + 2}\,{d x}"," ",0,"integrate((2*x^3 + 3*x^2 + x + 5)/(2*x^4 + x^3 + 5*x^2 + x + 2), x)","F",0
254,0,0,0,0.000000," ","integrate((2*x^3+3*x^2+x+5)/x/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""maxima"")","-\frac{1}{2} \, \int \frac{10 \, x^{3} + x^{2} + 19 \, x + 3}{2 \, x^{4} + x^{3} + 5 \, x^{2} + x + 2}\,{d x} + \frac{5}{2} \, \log\left(x\right)"," ",0,"-1/2*integrate((10*x^3 + x^2 + 19*x + 3)/(2*x^4 + x^3 + 5*x^2 + x + 2), x) + 5/2*log(x)","F",0
255,0,0,0,0.000000," ","integrate((2*x^3+3*x^2+x+5)/x^2/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""maxima"")","-\frac{5}{2 \, x} + \frac{1}{4} \, \int \frac{6 \, x^{3} - 17 \, x^{2} + 13 \, x - 35}{2 \, x^{4} + x^{3} + 5 \, x^{2} + x + 2}\,{d x} - \frac{3}{4} \, \log\left(x\right)"," ",0,"-5/2/x + 1/4*integrate((6*x^3 - 17*x^2 + 13*x - 35)/(2*x^4 + x^3 + 5*x^2 + x + 2), x) - 3/4*log(x)","F",0
256,0,0,0,0.000000," ","integrate((2*x^3+3*x^2+x+5)/x^3/(2*x^4+x^3+5*x^2+x+2),x, algorithm=""maxima"")","\frac{3 \, x - 5}{4 \, x^{2}} + \frac{1}{8} \, \int \frac{70 \, x^{3} + 47 \, x^{2} + 141 \, x + 61}{2 \, x^{4} + x^{3} + 5 \, x^{2} + x + 2}\,{d x} - \frac{35}{8} \, \log\left(x\right)"," ",0,"1/4*(3*x - 5)/x^2 + 1/8*integrate((70*x^3 + 47*x^2 + 141*x + 61)/(2*x^4 + x^3 + 5*x^2 + x + 2), x) - 35/8*log(x)","F",0
257,0,0,0,0.000000," ","integrate(x^2*(b*x^2+3*a)/(c^2*x^6+b^2*x^4+2*a*b*x^2+a^2),x, algorithm=""maxima"")","\int \frac{{\left(b x^{2} + 3 \, a\right)} x^{2}}{c^{2} x^{6} + b^{2} x^{4} + 2 \, a b x^{2} + a^{2}}\,{d x}"," ",0,"integrate((b*x^2 + 3*a)*x^2/(c^2*x^6 + b^2*x^4 + 2*a*b*x^2 + a^2), x)","F",0
258,1,33,0,2.104375," ","integrate((-3*x^4+1)/(-2+x)/(x^2+1)^2,x, algorithm=""maxima"")","\frac{2 \, x - 1}{5 \, {\left(x^{2} + 1\right)}} - \frac{46}{25} \, \arctan\left(x\right) - \frac{14}{25} \, \log\left(x^{2} + 1\right) - \frac{47}{25} \, \log\left(x - 2\right)"," ",0,"1/5*(2*x - 1)/(x^2 + 1) - 46/25*arctan(x) - 14/25*log(x^2 + 1) - 47/25*log(x - 2)","A",0
259,1,15,0,1.116098," ","integrate((2*x^2-9*x-9)/(x^3-9*x),x, algorithm=""maxima"")","2 \, \log\left(x + 3\right) - \log\left(x - 3\right) + \log\left(x\right)"," ",0,"2*log(x + 3) - log(x - 3) + log(x)","A",0
260,1,21,0,1.147058," ","integrate((x^5+2*x^2+1)/(x^3-x),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + x + \log\left(x + 1\right) + 2 \, \log\left(x - 1\right) - \log\left(x\right)"," ",0,"1/3*x^3 + x + log(x + 1) + 2*log(x - 1) - log(x)","A",0
261,1,18,0,1.094725," ","integrate((2*x^2+3)/(-1+x)^2/x,x, algorithm=""maxima"")","-\frac{5}{x - 1} - \log\left(x - 1\right) + 3 \, \log\left(x\right)"," ",0,"-5/(x - 1) - log(x - 1) + 3*log(x)","A",0
262,1,21,0,2.309357," ","integrate((2*x^2-1)/(-1+4*x)/(x^2+1),x, algorithm=""maxima"")","\frac{3}{17} \, \arctan\left(x\right) + \frac{6}{17} \, \log\left(x^{2} + 1\right) - \frac{7}{34} \, \log\left(4 \, x - 1\right)"," ",0,"3/17*arctan(x) + 6/17*log(x^2 + 1) - 7/34*log(4*x - 1)","A",0
263,1,17,0,2.281015," ","integrate((x^3-3*x^2+2*x-3)/(x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - 3 \, x + \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"1/2*x^2 - 3*x + 1/2*log(x^2 + 1)","A",0
264,1,23,0,2.077467," ","integrate((x^4+6*x^3+10*x^2+x)/(x^2+6*x+10),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} - 3 \, \arctan\left(x + 3\right) + \frac{1}{2} \, \log\left(x^{2} + 6 \, x + 10\right)"," ",0,"1/3*x^3 - 3*arctan(x + 3) + 1/2*log(x^2 + 6*x + 10)","A",0
265,1,25,0,1.272928," ","integrate(1/(x^4-3*x^3-7*x^2+27*x-18),x, algorithm=""maxima"")","-\frac{1}{120} \, \log\left(x + 3\right) + \frac{1}{8} \, \log\left(x - 1\right) - \frac{1}{5} \, \log\left(x - 2\right) + \frac{1}{12} \, \log\left(x - 3\right)"," ",0,"-1/120*log(x + 3) + 1/8*log(x - 1) - 1/5*log(x - 2) + 1/12*log(x - 3)","A",0
266,1,18,0,1.132983," ","integrate((x^3+1)/(-2+x),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + x^{2} + 4 \, x + 9 \, \log\left(x - 2\right)"," ",0,"1/3*x^3 + x^2 + 4*x + 9*log(x - 2)","A",0
267,1,13,0,2.300901," ","integrate((3*x^3-4*x^2+3*x)/(x^2+1),x, algorithm=""maxima"")","\frac{3}{2} \, x^{2} - 4 \, x + 4 \, \arctan\left(x\right)"," ",0,"3/2*x^2 - 4*x + 4*arctan(x)","A",0
268,1,20,0,1.077601," ","integrate((5+3*x)/(x^3-x^2-x+1),x, algorithm=""maxima"")","-\frac{4}{x - 1} + \frac{1}{2} \, \log\left(x + 1\right) - \frac{1}{2} \, \log\left(x - 1\right)"," ",0,"-4/(x - 1) + 1/2*log(x + 1) - 1/2*log(x - 1)","A",0
269,1,21,0,1.129483," ","integrate((x^4-x^3-x-1)/(x^3-x^2),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{1}{x} - 2 \, \log\left(x - 1\right) + 2 \, \log\left(x\right)"," ",0,"1/2*x^2 - 1/x - 2*log(x - 1) + 2*log(x)","A",0
270,1,11,0,2.157011," ","integrate((x^3+x^2+x+2)/(x^4+3*x^2+2),x, algorithm=""maxima"")","\arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 2\right)"," ",0,"arctan(x) + 1/2*log(x^2 + 2)","A",0
271,1,35,0,2.222794," ","integrate((x^5-x^4+4*x^3-4*x^2+8*x-4)/(x^2+2)^3,x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - \frac{1}{x^{4} + 4 \, x^{2} + 4} + \frac{1}{2} \, \log\left(x^{2} + 2\right)"," ",0,"-1/2*sqrt(2)*arctan(1/2*sqrt(2)*x) - 1/(x^4 + 4*x^2 + 4) + 1/2*log(x^2 + 2)","A",0
272,1,17,0,1.404573," ","integrate((x^2-3*x-1)/(x^3+x^2-2*x),x, algorithm=""maxima"")","\frac{3}{2} \, \log\left(x + 2\right) - \log\left(x - 1\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"3/2*log(x + 2) - log(x - 1) + 1/2*log(x)","A",0
273,1,19,0,1.115078," ","integrate((x^4-2*x^3+3*x^2-x+3)/(x^3-2*x^2+3*x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{1}{2} \, \log\left(x^{2} - 2 \, x + 3\right) + \log\left(x\right)"," ",0,"1/2*x^2 - 1/2*log(x^2 - 2*x + 3) + log(x)","A",0
274,1,23,0,2.334549," ","integrate((x^3+x-1)/(x^2+1)^2,x, algorithm=""maxima"")","-\frac{x}{2 \, {\left(x^{2} + 1\right)}} - \frac{1}{2} \, \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"-1/2*x/(x^2 + 1) - 1/2*arctan(x) + 1/2*log(x^2 + 1)","A",0
275,1,41,0,2.248328," ","integrate((x^4+8*x^3-x^2+2*x+1)/(x^2+x)/(x^3+1),x, algorithm=""maxima"")","\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{3}{x + 1} + \log\left(x^{2} - x + 1\right) - 2 \, \log\left(x + 1\right) + \log\left(x\right)"," ",0,"2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 3/(x + 1) + log(x^2 - x + 1) - 2*log(x + 1) + log(x)","A",0
276,1,38,0,2.286855," ","integrate((x^3+x^2-5*x+15)/(x^2+5)/(x^2+2*x+3),x, algorithm=""maxima"")","\frac{5}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x + 1\right)}\right) - \sqrt{5} \arctan\left(\frac{1}{5} \, \sqrt{5} x\right) + \frac{1}{2} \, \log\left(x^{2} + 2 \, x + 3\right)"," ",0,"5/2*sqrt(2)*arctan(1/2*sqrt(2)*(x + 1)) - sqrt(5)*arctan(1/5*sqrt(5)*x) + 1/2*log(x^2 + 2*x + 3)","A",0
277,1,44,0,1.155812," ","integrate((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, algorithm=""maxima"")","-\frac{2 \, x^{2} + 3 \, x + 5}{x^{4} + x^{3} + 3 \, x^{2} + x + 2} - \log\left(x^{2} + x + 2\right) + \log\left(x^{2} + 1\right)"," ",0,"-(2*x^2 + 3*x + 5)/(x^4 + x^3 + 3*x^2 + x + 2) - log(x^2 + x + 2) + log(x^2 + 1)","A",0
278,1,11,0,2.199634," ","integrate(1/(x^2+1)/(x^2+4),x, algorithm=""maxima"")","-\frac{1}{6} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{1}{3} \, \arctan\left(x\right)"," ",0,"-1/6*arctan(1/2*x) + 1/3*arctan(x)","A",0
279,1,20,0,2.254621," ","integrate((b*x^3+a)/(x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, b x^{2} + a \arctan\left(x\right) - \frac{1}{2} \, b \log\left(x^{2} + 1\right)"," ",0,"1/2*b*x^2 + a*arctan(x) - 1/2*b*log(x^2 + 1)","A",0
280,1,17,0,2.313196," ","integrate((x^2+x)/(4+x)/(x^2-4),x, algorithm=""maxima"")","\log\left(x + 4\right) - \frac{1}{4} \, \log\left(x + 2\right) + \frac{1}{4} \, \log\left(x - 2\right)"," ",0,"log(x + 4) - 1/4*log(x + 2) + 1/4*log(x - 2)","A",0
281,1,17,0,2.398283," ","integrate((x^2+4)/(x^2+1)/(x^2+2),x, algorithm=""maxima"")","-\sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 3 \, \arctan\left(x\right)"," ",0,"-sqrt(2)*arctan(1/2*sqrt(2)*x) + 3*arctan(x)","A",0
282,1,27,0,2.223825," ","integrate((x^4+3*x^2-4*x+5)/(-1+x)^2/(x^2+1),x, algorithm=""maxima"")","x - \frac{5}{2 \, {\left(x - 1\right)}} + 2 \, \arctan\left(x\right) + \frac{3}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left(x - 1\right)"," ",0,"x - 5/2/(x - 1) + 2*arctan(x) + 3/4*log(x^2 + 1) + 1/2*log(x - 1)","A",0
283,1,21,0,2.215965," ","integrate((x^4+1)/(x^2+2),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + \frac{5}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 2 \, x"," ",0,"1/3*x^3 + 5/2*sqrt(2)*arctan(1/2*sqrt(2)*x) - 2*x","A",0
284,1,10,0,1.105250," ","integrate((x^4+2*x+2)/(x^5+x^4),x, algorithm=""maxima"")","-\frac{2}{3 \, x^{3}} + \log\left(x + 1\right)"," ",0,"-2/3/x^3 + log(x + 1)","A",0
285,1,17,0,1.091939," ","integrate((2*x^2-5*x-1)/(x^3-2*x^2-x+2),x, algorithm=""maxima"")","\log\left(x + 1\right) + 2 \, \log\left(x - 1\right) - \log\left(x - 2\right)"," ",0,"log(x + 1) + 2*log(x - 1) - log(x - 2)","A",0
286,1,20,0,2.231253," ","integrate((x^3+x+2)/(x^4+2*x^2+1),x, algorithm=""maxima"")","\frac{x}{x^{2} + 1} + \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"x/(x^2 + 1) + arctan(x) + 1/2*log(x^2 + 1)","A",0
287,1,20,0,2.176305," ","integrate((x^3+x^2+2*x+1)/(x^4+2*x^2+1),x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(x^{2} + 1\right)}} + \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"-1/2/(x^2 + 1) + arctan(x) + 1/2*log(x^2 + 1)","A",0
288,1,33,0,2.057326," ","integrate((3+4*x)/(x^2+1)/(x^2+2),x, algorithm=""maxima"")","-\frac{3}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 3 \, \arctan\left(x\right) - 2 \, \log\left(x^{2} + 2\right) + 2 \, \log\left(x^{2} + 1\right)"," ",0,"-3/2*sqrt(2)*arctan(1/2*sqrt(2)*x) + 3*arctan(x) - 2*log(x^2 + 2) + 2*log(x^2 + 1)","A",0
289,1,27,0,2.002908," ","integrate((2+x)/(x^2+1)/(x^2+4),x, algorithm=""maxima"")","-\frac{1}{3} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{2}{3} \, \arctan\left(x\right) - \frac{1}{6} \, \log\left(x^{2} + 4\right) + \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"-1/3*arctan(1/2*x) + 2/3*arctan(x) - 1/6*log(x^2 + 4) + 1/6*log(x^2 + 1)","A",0
290,1,21,0,1.082607," ","integrate((x^3-x+2)/(x^2-6*x-7),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + 6 \, x - \frac{1}{4} \, \log\left(x + 1\right) + \frac{169}{4} \, \log\left(x - 7\right)"," ",0,"1/2*x^2 + 6*x - 1/4*log(x + 1) + 169/4*log(x - 7)","A",0
291,1,15,0,1.066115," ","integrate((x^5-1)/(x^2-1),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} + \frac{1}{2} \, x^{2} + \log\left(x + 1\right)"," ",0,"1/4*x^4 + 1/2*x^2 + log(x + 1)","A",0
292,1,34,0,2.177553," ","integrate((x^3-x^2+2*x+5)/(x^2+x+1),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + \frac{11}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, x + \frac{3}{2} \, \log\left(x^{2} + x + 1\right)"," ",0,"1/2*x^2 + 11/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*x + 3/2*log(x^2 + x + 1)","A",0
293,1,31,0,2.074020," ","integrate((x^4-2*x^3+x-3)/(2*x^2-8*x+10),x, algorithm=""maxima"")","\frac{1}{6} \, x^{3} + \frac{1}{2} \, x^{2} + \frac{3}{2} \, x - 6 \, \arctan\left(x - 2\right) + \frac{3}{4} \, \log\left(x^{2} - 4 \, x + 5\right)"," ",0,"1/6*x^3 + 1/2*x^2 + 3/2*x - 6*arctan(x - 2) + 3/4*log(x^2 - 4*x + 5)","A",0
294,1,20,0,1.038215," ","integrate((x^3+3*x^2+2*x+1)/(-3+x)/(-2+x)/(-1+x),x, algorithm=""maxima"")","x + \frac{7}{2} \, \log\left(x - 1\right) - 25 \, \log\left(x - 2\right) + \frac{61}{2} \, \log\left(x - 3\right)"," ",0,"x + 7/2*log(x - 1) - 25*log(x - 2) + 61/2*log(x - 3)","A",0
295,1,27,0,1.117527," ","integrate((x^4-x^3+x^2-7*x+2)/(x^3+x^2-14*x-24),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - 2 \, x + 20 \, \log\left(x + 3\right) - \frac{22}{3} \, \log\left(x + 2\right) + \frac{13}{3} \, \log\left(x - 4\right)"," ",0,"1/2*x^2 - 2*x + 20*log(x + 3) - 22/3*log(x + 2) + 13/3*log(x - 4)","A",0
296,1,24,0,1.132526," ","integrate((x^2+2)/(-1+x)^2/x/(1+x),x, algorithm=""maxima"")","-\frac{3}{2 \, {\left(x - 1\right)}} - \frac{3}{4} \, \log\left(x + 1\right) - \frac{5}{4} \, \log\left(x - 1\right) + 2 \, \log\left(x\right)"," ",0,"-3/2/(x - 1) - 3/4*log(x + 1) - 5/4*log(x - 1) + 2*log(x)","A",0
297,1,33,0,2.355375," ","integrate((x^3+x^2+3)/(x^2+2)^2,x, algorithm=""maxima"")","\frac{5}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + \frac{x + 4}{4 \, {\left(x^{2} + 2\right)}} + \frac{1}{2} \, \log\left(x^{2} + 2\right)"," ",0,"5/8*sqrt(2)*arctan(1/2*sqrt(2)*x) + 1/4*(x + 4)/(x^2 + 2) + 1/2*log(x^2 + 2)","A",0
298,1,37,0,2.802839," ","integrate((2*x^3-4*x^2+70*x-35)/(x^2-10*x+26)/(x^2-2*x+17),x, algorithm=""maxima"")","\frac{15033}{1025} \, \arctan\left(x - 5\right) - \frac{4607}{4100} \, \arctan\left(\frac{1}{4} \, x - \frac{1}{4}\right) + \frac{22}{1025} \, \log\left(x^{2} - 2 \, x + 17\right) + \frac{1003}{1025} \, \log\left(x^{2} - 10 \, x + 26\right)"," ",0,"15033/1025*arctan(x - 5) - 4607/4100*arctan(1/4*x - 1/4) + 22/1025*log(x^2 - 2*x + 17) + 1003/1025*log(x^2 - 10*x + 26)","A",0
299,1,19,0,1.166101," ","integrate((x^2+2)/(-5+x)/(-3+x)/(4+x),x, algorithm=""maxima"")","\frac{2}{7} \, \log\left(x + 4\right) - \frac{11}{14} \, \log\left(x - 3\right) + \frac{3}{2} \, \log\left(x - 5\right)"," ",0,"2/7*log(x + 4) - 11/14*log(x - 3) + 3/2*log(x - 5)","A",0
300,1,33,0,2.161189," ","integrate(x^4/(-1+x)/(x^2+2),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{2}{3} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + x - \frac{2}{3} \, \log\left(x^{2} + 2\right) + \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"1/2*x^2 - 2/3*sqrt(2)*arctan(1/2*sqrt(2)*x) + x - 2/3*log(x^2 + 2) + 1/3*log(x - 1)","A",0
301,1,14,0,1.085399," ","integrate((2*x^2+7*x-1)/(x^3+x^2-x-1),x, algorithm=""maxima"")","-\frac{3}{x + 1} + 2 \, \log\left(x - 1\right)"," ",0,"-3/(x + 1) + 2*log(x - 1)","A",0
302,1,17,0,1.088045," ","integrate((1+2*x)/(x^3-3*x^2+3*x-1),x, algorithm=""maxima"")","-\frac{4 \, x - 1}{2 \, {\left(x^{2} - 2 \, x + 1\right)}}"," ",0,"-1/2*(4*x - 1)/(x^2 - 2*x + 1)","A",0
303,1,23,0,1.267662," ","integrate((x^3+7*x^2-5*x+5)/(-1+x)^2/(1+x)^3,x, algorithm=""maxima"")","-\frac{x^{2} + 4 \, x - 1}{x^{3} + x^{2} - x - 1}"," ",0,"-(x^2 + 4*x - 1)/(x^3 + x^2 - x - 1)","A",0
304,1,28,0,2.356657," ","integrate((3*x^2+3*x+1)/(x^3+2*x^2+2*x+1),x, algorithm=""maxima"")","-\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \log\left(x^{2} + x + 1\right) + \log\left(x + 1\right)"," ",0,"-2/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + log(x^2 + x + 1) + log(x + 1)","A",0
305,1,19,0,1.087532," ","integrate((x^2+2*x-1)/(2*x^3+3*x^2-2*x),x, algorithm=""maxima"")","\frac{1}{10} \, \log\left(2 \, x - 1\right) - \frac{1}{10} \, \log\left(x + 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"1/10*log(2*x - 1) - 1/10*log(x + 2) + 1/2*log(x)","A",0
306,1,24,0,1.212473," ","integrate((x^4-2*x^2+4*x+1)/(x^3-x^2-x+1),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + x - \frac{2}{x - 1} - \log\left(x + 1\right) + \log\left(x - 1\right)"," ",0,"1/2*x^2 + x - 2/(x - 1) - log(x + 1) + log(x - 1)","A",0
307,1,17,0,2.075470," ","integrate((2*x^2-x+4)/(x^3+4*x),x, algorithm=""maxima"")","-\frac{1}{2} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{1}{2} \, \log\left(x^{2} + 4\right) + \log\left(x\right)"," ",0,"-1/2*arctan(1/2*x) + 1/2*log(x^2 + 4) + log(x)","A",0
308,1,77,0,2.247574," ","integrate((x^3+x^2+1)/(-1+x)/x/(x^2+1)^3/(x^2+x+1),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{9 \, x^{3} - 6 \, x^{2} + 11 \, x - 4}{16 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}} + \frac{7}{16} \, \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + x + 1\right) + \frac{15}{16} \, \log\left(x^{2} + 1\right) + \frac{1}{8} \, \log\left(x - 1\right) - \log\left(x\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/16*(9*x^3 - 6*x^2 + 11*x - 4)/(x^4 + 2*x^2 + 1) + 7/16*arctan(x) - 1/2*log(x^2 + x + 1) + 15/16*log(x^2 + 1) + 1/8*log(x - 1) - log(x)","A",0
309,1,25,0,2.149020," ","integrate((-x^3+2*x^2-3*x+1)/(x^2+1)^2,x, algorithm=""maxima"")","-\frac{x - 2}{2 \, {\left(x^{2} + 1\right)}} + \frac{3}{2} \, \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"-1/2*(x - 2)/(x^2 + 1) + 3/2*arctan(x) - 1/2*log(x^2 + 1)","A",0
310,1,29,0,2.253840," ","integrate((-x^3+2*x^2-3*x+1)/x/(x^2+1)^2,x, algorithm=""maxima"")","-\frac{2 \, x + 1}{2 \, {\left(x^{2} + 1\right)}} - 2 \, \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right) + \log\left(x\right)"," ",0,"-1/2*(2*x + 1)/(x^2 + 1) - 2*arctan(x) - 1/2*log(x^2 + 1) + log(x)","A",0
311,1,23,0,1.046406," ","integrate((x^4+x^3-x^2-x+1)/(x^3-x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + x + \frac{1}{2} \, \log\left(x + 1\right) + \frac{1}{2} \, \log\left(x - 1\right) - \log\left(x\right)"," ",0,"1/2*x^2 + x + 1/2*log(x + 1) + 1/2*log(x - 1) - log(x)","A",0
312,1,31,0,2.096183," ","integrate((x^3-4*x^2+2)/(x^2+1)/(x^2+2),x, algorithm=""maxima"")","-5 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 6 \, \arctan\left(x\right) + \log\left(x^{2} + 2\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"-5*sqrt(2)*arctan(1/2*sqrt(2)*x) + 6*arctan(x) + log(x^2 + 2) - 1/2*log(x^2 + 1)","A",0
313,1,21,0,2.089488," ","integrate((x^4+x^2+1)/(x^2+1)/(x^2+4)^2,x, algorithm=""maxima"")","-\frac{13 \, x}{24 \, {\left(x^{2} + 4\right)}} + \frac{25}{144} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{1}{9} \, \arctan\left(x\right)"," ",0,"-13/24*x/(x^2 + 4) + 25/144*arctan(1/2*x) + 1/9*arctan(x)","A",0
314,1,35,0,2.093047," ","integrate((x^3+x^2+1)/(x^4+x^3+2*x^2),x, algorithm=""maxima"")","\frac{1}{28} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(2 \, x + 1\right)}\right) - \frac{1}{2 \, x} + \frac{5}{8} \, \log\left(x^{2} + x + 2\right) - \frac{1}{4} \, \log\left(x\right)"," ",0,"1/28*sqrt(7)*arctan(1/7*sqrt(7)*(2*x + 1)) - 1/2/x + 5/8*log(x^2 + x + 2) - 1/4*log(x)","A",0
315,1,18,0,0.973825," ","integrate((x^3+x^2-12*x+1)/(x^2+x-12),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{1}{7} \, \log\left(x + 4\right) + \frac{1}{7} \, \log\left(x - 3\right)"," ",0,"1/2*x^2 - 1/7*log(x + 4) + 1/7*log(x - 3)","A",0
316,1,15,0,0.850136," ","integrate((6*x^2+5*x-3)/(x^3+2*x^2-3*x),x, algorithm=""maxima"")","3 \, \log\left(x + 3\right) + 2 \, \log\left(x - 1\right) + \log\left(x\right)"," ",0,"3*log(x + 3) + 2*log(x - 1) + log(x)","A",0
317,1,14,0,0.998599," ","integrate((5*x^2+3*x-2)/(x^3+2*x^2),x, algorithm=""maxima"")","\frac{1}{x} + 3 \, \log\left(x + 2\right) + 2 \, \log\left(x\right)"," ",0,"1/x + 3*log(x + 2) + 2*log(x)","A",0
318,1,17,0,1.028534," ","integrate((-4*x^2-2*x+18)/(x^3+4*x^2+x-6),x, algorithm=""maxima"")","-3 \, \log\left(x + 3\right) - 2 \, \log\left(x + 2\right) + \log\left(x - 1\right)"," ",0,"-3*log(x + 3) - 2*log(x + 2) + log(x - 1)","A",0
319,1,17,0,2.121574," ","integrate((x^3-2*x^2+x+1)/(x^4+5*x^2+4),x, algorithm=""maxima"")","-\frac{3}{2} \, \arctan\left(\frac{1}{2} \, x\right) + \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 4\right)"," ",0,"-3/2*arctan(1/2*x) + arctan(x) + 1/2*log(x^2 + 4)","A",0
320,1,50,0,2.111789," ","integrate((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, algorithm=""maxima"")","\frac{3988}{260015} \, \sqrt{19} \arctan\left(\frac{1}{19} \, \sqrt{19} {\left(2 \, x + 1\right)}\right) + \frac{11049}{260015} \, \log\left(x^{2} + x + 5\right) + \frac{4822}{4879} \, \log\left(5 \, x + 2\right) - \frac{3146}{80155} \, \log\left(3 \, x - 7\right) - \frac{334}{323} \, \log\left(2 \, x + 1\right)"," ",0,"3988/260015*sqrt(19)*arctan(1/19*sqrt(19)*(2*x + 1)) + 11049/260015*log(x^2 + x + 5) + 4822/4879*log(5*x + 2) - 3146/80155*log(3*x - 7) - 334/323*log(2*x + 1)","A",0
321,1,59,0,2.070266," ","integrate((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, algorithm=""maxima"")","\frac{503}{15972} \, \sqrt{2} \arctan\left(\sqrt{2} x\right) - \frac{36458 \, x^{2} + 4675 \, x + 2554}{12100 \, {\left(10 \, x^{3} - 4 \, x^{2} + 5 \, x - 2\right)}} + \frac{2843}{7986} \, \log\left(2 \, x^{2} + 1\right) - \frac{59096}{99825} \, \log\left(5 \, x - 2\right)"," ",0,"503/15972*sqrt(2)*arctan(sqrt(2)*x) - 1/12100*(36458*x^2 + 4675*x + 2554)/(10*x^3 - 4*x^2 + 5*x - 2) + 2843/7986*log(2*x^2 + 1) - 59096/99825*log(5*x - 2)","A",0
322,1,13,0,2.043319," ","integrate((x^4+9)/x^2/(x^2+9),x, algorithm=""maxima"")","x - \frac{1}{x} - \frac{10}{3} \, \arctan\left(\frac{1}{3} \, x\right)"," ",0,"x - 1/x - 10/3*arctan(1/3*x)","A",0
323,1,17,0,2.030486," ","integrate((x^4+2*x)/(x^2+1),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} - x + \arctan\left(x\right) + \log\left(x^{2} + 1\right)"," ",0,"1/3*x^3 - x + arctan(x) + log(x^2 + 1)","A",0
324,1,7,0,2.165972," ","integrate((x^3-x)/(-1+x)^2/(x^2+1),x, algorithm=""maxima"")","\arctan\left(x\right) + \log\left(x - 1\right)"," ",0,"arctan(x) + log(x - 1)","A",0
325,1,12,0,1.374575," ","integrate((2*x^3+3*x^2+5*x+2)/(x^2+x+1),x, algorithm=""maxima"")","x^{2} + x + \log\left(x^{2} + x + 1\right)"," ",0,"x^2 + x + log(x^2 + x + 1)","A",0
326,1,51,0,1.771098," ","integrate((3*x^3-5*x^2-4*x+3)/x^3/(x^2+x-1),x, algorithm=""maxima"")","\frac{1}{10} \, \sqrt{5} \log\left(\frac{2 \, x - \sqrt{5} + 1}{2 \, x + \sqrt{5} + 1}\right) - \frac{2 \, x - 3}{2 \, x^{2}} - \frac{3}{2} \, \log\left(x^{2} + x - 1\right) + 3 \, \log\left(x\right)"," ",0,"1/10*sqrt(5)*log((2*x - sqrt(5) + 1)/(2*x + sqrt(5) + 1)) - 1/2*(2*x - 3)/x^2 - 3/2*log(x^2 + x - 1) + 3*log(x)","A",0
327,1,28,0,1.655931," ","integrate((2*x^3+5*x^2+8*x+4)/(x^2+2*x+2)^2,x, algorithm=""maxima"")","-\frac{1}{x^{2} + 2 \, x + 2} - \arctan\left(x + 1\right) + \log\left(x^{2} + 2 \, x + 2\right)"," ",0,"-1/(x^2 + 2*x + 2) - arctan(x + 1) + log(x^2 + 2*x + 2)","A",0
328,1,26,0,1.514621," ","integrate((-1+x)^4*x^4/(x^2+1),x, algorithm=""maxima"")","\frac{1}{7} \, x^{7} - \frac{2}{3} \, x^{6} + x^{5} - \frac{4}{3} \, x^{3} + 4 \, x - 4 \, \arctan\left(x\right)"," ",0,"1/7*x^7 - 2/3*x^6 + x^5 - 4/3*x^3 + 4*x - 4*arctan(x)","A",0
329,1,23,0,0.796791," ","integrate((4*x^2-20*x)/(x^4-10*x^2+9),x, algorithm=""maxima"")","-2 \, \log\left(x + 3\right) + \frac{3}{2} \, \log\left(x + 1\right) + \log\left(x - 1\right) - \frac{1}{2} \, \log\left(x - 3\right)"," ",0,"-2*log(x + 3) + 3/2*log(x + 1) + log(x - 1) - 1/2*log(x - 3)","A",0
330,1,22,0,1.223043," ","integrate((4*x^3+x-1)/(-1+x)/x^2/(x^2+1),x, algorithm=""maxima"")","-\frac{1}{x} + \arctan\left(x\right) - \log\left(x^{2} + 1\right) + 2 \, \log\left(x - 1\right)"," ",0,"-1/x + arctan(x) - log(x^2 + 1) + 2*log(x - 1)","A",0
331,1,24,0,1.430581," ","integrate((x^4-4*x^3+2*x^2-3*x+1)/(x^2+1)^3,x, algorithm=""maxima"")","\frac{8 \, x^{2} + 7}{4 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}} + \arctan\left(x\right)"," ",0,"1/4*(8*x^2 + 7)/(x^4 + 2*x^2 + 1) + arctan(x)","A",0
332,1,24,0,1.415684," ","integrate((x^4-4*x^3+2*x^2-3*x+1)/(x^6+3*x^4+3*x^2+1),x, algorithm=""maxima"")","\frac{8 \, x^{2} + 7}{4 \, {\left(x^{4} + 2 \, x^{2} + 1\right)}} + \arctan\left(x\right)"," ",0,"1/4*(8*x^2 + 7)/(x^4 + 2*x^2 + 1) + arctan(x)","A",0
333,1,13,0,0.708456," ","integrate((2*x^3+2*x^2+x+1)/(x^4+x^3+x^2),x, algorithm=""maxima"")","-\frac{1}{x} + \log\left(x^{2} + x + 1\right)"," ",0,"-1/x + log(x^2 + x + 1)","A",0
334,1,199,0,1.652400," ","integrate(x^2*(d*x+c)^2/(b*x^3+a),x, algorithm=""maxima"")","-\frac{\sqrt{3} {\left(a d^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}} + 2 \, a c d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, a b} + \frac{d^{2} x^{2} + 4 \, c d x}{2 \, b} + \frac{{\left(2 \, b c^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}} - a d^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}} + 2 \, a c d\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}} + \frac{{\left(b c^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}} + a d^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}} - 2 \, a c d\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, b^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}}}"," ",0,"-1/3*sqrt(3)*(a*d^2*(a/b)^(2/3) + 2*a*c*d*(a/b)^(1/3))*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/(a*b) + 1/2*(d^2*x^2 + 4*c*d*x)/b + 1/6*(2*b*c^2*(a/b)^(2/3) - a*d^2*(a/b)^(1/3) + 2*a*c*d)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*(a/b)^(2/3)) + 1/3*(b*c^2*(a/b)^(2/3) + a*d^2*(a/b)^(1/3) - 2*a*c*d)*log(x + (a/b)^(1/3))/(b^2*(a/b)^(2/3))","A",0
335,0,0,0,0.000000," ","integrate((4*x^5+2*x^3-x)/(x^4+2*x^2+3)^2,x, algorithm=""maxima"")","-\frac{7 \, x^{2} - 5}{8 \, {\left(x^{4} + 2 \, x^{2} + 3\right)}} + \frac{9}{4} \, \int \frac{x}{x^{4} + 2 \, x^{2} + 3}\,{d x}"," ",0,"-1/8*(7*x^2 - 5)/(x^4 + 2*x^2 + 3) + 9/4*integrate(x/(x^4 + 2*x^2 + 3), x)","F",0
336,0,0,0,0.000000," ","integrate((x^5+x)/(2*x^4+2*x^2+1)^3,x, algorithm=""maxima"")","\frac{32 \, x^{6} + 48 \, x^{4} + 36 \, x^{2} + 11}{16 \, {\left(4 \, x^{8} + 8 \, x^{6} + 8 \, x^{4} + 4 \, x^{2} + 1\right)}} + 2 \, \int \frac{x}{2 \, x^{4} + 2 \, x^{2} + 1}\,{d x}"," ",0,"1/16*(32*x^6 + 48*x^4 + 36*x^2 + 11)/(4*x^8 + 8*x^6 + 8*x^4 + 4*x^2 + 1) + 2*integrate(x/(2*x^4 + 2*x^2 + 1), x)","F",0
337,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(f*x^4+e*x^2+d),x, algorithm=""maxima"")","\int \frac{c x^{2} + b x + a}{f x^{4} + e x^{2} + d}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)/(f*x^4 + e*x^2 + d), x)","F",0
338,0,0,0,0.000000," ","integrate((e*x+d)^2/(c*x^4+b*x^2+a),x, algorithm=""maxima"")","\int \frac{{\left(e x + d\right)}^{2}}{c x^{4} + b x^{2} + a}\,{d x}"," ",0,"integrate((e*x + d)^2/(c*x^4 + b*x^2 + a), x)","F",0
339,1,60,0,0.684882," ","integrate(x^2/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\frac{a^{2} \log\left(b x + a\right)}{b^{3} c - a b^{2} d} - \frac{c^{2} \log\left(d x + c\right)}{b c d^{2} - a d^{3}} + \frac{x}{b d}"," ",0,"a^2*log(b*x + a)/(b^3*c - a*b^2*d) - c^2*log(d*x + c)/(b*c*d^2 - a*d^3) + x/(b*d)","A",0
340,1,84,0,1.222277," ","integrate(x^2/(d*x+c)/(b*x^2+a),x, algorithm=""maxima"")","\frac{a d \log\left(b x^{2} + a\right)}{2 \, {\left(b^{2} c^{2} + a b d^{2}\right)}} + \frac{c^{2} \log\left(d x + c\right)}{b c^{2} d + a d^{3}} - \frac{a c \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{{\left(b c^{2} + a d^{2}\right)} \sqrt{a b}}"," ",0,"1/2*a*d*log(b*x^2 + a)/(b^2*c^2 + a*b*d^2) + c^2*log(d*x + c)/(b*c^2*d + a*d^3) - a*c*arctan(b*x/sqrt(a*b))/((b*c^2 + a*d^2)*sqrt(a*b))","A",0
341,1,279,0,1.706110," ","integrate(x^2/(d*x+c)/(b*x^3+a),x, algorithm=""maxima"")","-\frac{c^{2} \log\left(d x + c\right)}{b c^{3} - a d^{3}} - \frac{\sqrt{3} {\left(a d^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}} - a c d \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x - \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{3 \, {\left(b^{2} c^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}} - a b d^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)} \left(\frac{a}{b}\right)^{\frac{1}{3}}} + \frac{{\left(2 \, b c^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}} - a d^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}} - a c d\right)} \log\left(x^{2} - x \left(\frac{a}{b}\right)^{\frac{1}{3}} + \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{6 \, {\left(b^{2} c^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}} - a b d^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}} + \frac{{\left(b c^{2} \left(\frac{a}{b}\right)^{\frac{2}{3}} + a d^{2} \left(\frac{a}{b}\right)^{\frac{1}{3}} + a c d\right)} \log\left(x + \left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{3 \, {\left(b^{2} c^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}} - a b d^{3} \left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}}"," ",0,"-c^2*log(d*x + c)/(b*c^3 - a*d^3) - 1/3*sqrt(3)*(a*d^2*(a/b)^(2/3) - a*c*d*(a/b)^(1/3))*arctan(1/3*sqrt(3)*(2*x - (a/b)^(1/3))/(a/b)^(1/3))/((b^2*c^3*(a/b)^(2/3) - a*b*d^3*(a/b)^(2/3))*(a/b)^(1/3)) + 1/6*(2*b*c^2*(a/b)^(2/3) - a*d^2*(a/b)^(1/3) - a*c*d)*log(x^2 - x*(a/b)^(1/3) + (a/b)^(2/3))/(b^2*c^3*(a/b)^(2/3) - a*b*d^3*(a/b)^(2/3)) + 1/3*(b*c^2*(a/b)^(2/3) + a*d^2*(a/b)^(1/3) + a*c*d)*log(x + (a/b)^(1/3))/(b^2*c^3*(a/b)^(2/3) - a*b*d^3*(a/b)^(2/3))","A",0
342,1,349,0,1.480792," ","integrate(x^2/(d*x+c)/(b*x^4+a),x, algorithm=""maxima"")","\frac{c^{2} d \log\left(d x + c\right)}{b c^{4} + a d^{4}} - \frac{\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{3}{4}} b^{\frac{5}{4}} c^{2} d + \sqrt{a} b^{\frac{3}{2}} c^{3} + a b c d^{2}\right)} \log\left(\sqrt{b} x^{2} + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} b^{\frac{5}{4}}} + \frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{3}{4}} b^{\frac{5}{4}} c^{2} d - \sqrt{a} b^{\frac{3}{2}} c^{3} - a b c d^{2}\right)} \log\left(\sqrt{b} x^{2} - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} b^{\frac{5}{4}}} - \frac{2 \, {\left(\sqrt{2} a^{\frac{3}{4}} b^{\frac{7}{4}} c^{3} - \sqrt{2} a^{\frac{5}{4}} b^{\frac{5}{4}} c d^{2} - 2 \, a^{\frac{3}{2}} b d^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x + \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{b}} b^{\frac{5}{4}}} - \frac{2 \, {\left(\sqrt{2} a^{\frac{3}{4}} b^{\frac{7}{4}} c^{3} - \sqrt{2} a^{\frac{5}{4}} b^{\frac{5}{4}} c d^{2} + 2 \, a^{\frac{3}{2}} b d^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{b} x - \sqrt{2} a^{\frac{1}{4}} b^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{b}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{b}} b^{\frac{5}{4}}}}{8 \, {\left(b c^{4} + a d^{4}\right)}}"," ",0,"c^2*d*log(d*x + c)/(b*c^4 + a*d^4) - 1/8*(sqrt(2)*(sqrt(2)*a^(3/4)*b^(5/4)*c^2*d + sqrt(a)*b^(3/2)*c^3 + a*b*c*d^2)*log(sqrt(b)*x^2 + sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(3/4)*b^(5/4)) + sqrt(2)*(sqrt(2)*a^(3/4)*b^(5/4)*c^2*d - sqrt(a)*b^(3/2)*c^3 - a*b*c*d^2)*log(sqrt(b)*x^2 - sqrt(2)*a^(1/4)*b^(1/4)*x + sqrt(a))/(a^(3/4)*b^(5/4)) - 2*(sqrt(2)*a^(3/4)*b^(7/4)*c^3 - sqrt(2)*a^(5/4)*b^(5/4)*c*d^2 - 2*a^(3/2)*b*d^3)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x + sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(b))*b^(5/4)) - 2*(sqrt(2)*a^(3/4)*b^(7/4)*c^3 - sqrt(2)*a^(5/4)*b^(5/4)*c*d^2 + 2*a^(3/2)*b*d^3)*arctan(1/2*sqrt(2)*(2*sqrt(b)*x - sqrt(2)*a^(1/4)*b^(1/4))/sqrt(sqrt(a)*sqrt(b)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(b))*b^(5/4)))/(b*c^4 + a*d^4)","A",0
343,1,20,0,0.752602," ","integrate(x/(1-x)/(1+x)^2,x, algorithm=""maxima"")","\frac{1}{2 \, {\left(x + 1\right)}} + \frac{1}{4} \, \log\left(x + 1\right) - \frac{1}{4} \, \log\left(x - 1\right)"," ",0,"1/2/(x + 1) + 1/4*log(x + 1) - 1/4*log(x - 1)","A",0
344,1,23,0,0.650839," ","integrate(x^2/(-x^2+1)/(x^2+1)^2,x, algorithm=""maxima"")","-\frac{x}{4 \, {\left(x^{2} + 1\right)}} + \frac{1}{8} \, \log\left(x + 1\right) - \frac{1}{8} \, \log\left(x - 1\right)"," ",0,"-1/4*x/(x^2 + 1) + 1/8*log(x + 1) - 1/8*log(x - 1)","A",0
345,1,75,0,1.933698," ","integrate(x^3/(-x^3+1)/(x^3+1)^2,x, algorithm=""maxima"")","\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{36} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) - \frac{x}{6 \, {\left(x^{3} + 1\right)}} + \frac{1}{24} \, \log\left(x^{2} + x + 1\right) + \frac{1}{72} \, \log\left(x^{2} - x + 1\right) - \frac{1}{36} \, \log\left(x + 1\right) - \frac{1}{12} \, \log\left(x - 1\right)"," ",0,"1/12*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/36*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) - 1/6*x/(x^3 + 1) + 1/24*log(x^2 + x + 1) + 1/72*log(x^2 - x + 1) - 1/36*log(x + 1) - 1/12*log(x - 1)","A",0
346,1,13,0,1.399950," ","integrate((x^3+3*x^2+x+9)/(x^2+1)/(x^2+3),x, algorithm=""maxima"")","3 \, \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 3\right)"," ",0,"3*arctan(x) + 1/2*log(x^2 + 3)","A",0
347,1,11,0,1.326721," ","integrate((x^3+x^2+x+3)/(x^2+1)/(x^2+3),x, algorithm=""maxima"")","\arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 3\right)"," ",0,"arctan(x) + 1/2*log(x^2 + 3)","A",0
348,1,24,0,1.479313," ","integrate((3*x^3-x^2+6*x-4)/(x^2+1)/(x^2+2),x, algorithm=""maxima"")","\sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 3 \, \arctan\left(x\right) + \frac{3}{2} \, \log\left(x^{2} + 1\right)"," ",0,"sqrt(2)*arctan(1/2*sqrt(2)*x) - 3*arctan(x) + 3/2*log(x^2 + 1)","A",0
349,1,14,0,2.074055," ","integrate(1/(x^2-4*x+4)/(x^2-4*x+5),x, algorithm=""maxima"")","-\frac{1}{x - 2} - \arctan\left(x - 2\right)"," ",0,"-1/(x - 2) - arctan(x - 2)","A",0
350,1,10,0,0.751804," ","integrate((x^2+x-3)/(-3+x)/x^2,x, algorithm=""maxima"")","-\frac{1}{x} + \log\left(x - 3\right)"," ",0,"-1/x + log(x - 3)","A",0
351,1,9,0,1.608011," ","integrate((4*x^2+x+1)/(4*x^3+x),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(2 \, x\right) + \log\left(x\right)"," ",0,"1/2*arctan(2*x) + log(x)","A",0
352,1,10,0,0.714002," ","integrate((3*x^2-x+1)/(x^3-x^2),x, algorithm=""maxima"")","\frac{1}{x} + 3 \, \log\left(x - 1\right)"," ",0,"1/x + 3*log(x - 1)","A",0
353,1,12,0,0.595549," ","integrate((x^2+3*x+4)/(x^2+x),x, algorithm=""maxima"")","x - 2 \, \log\left(x + 1\right) + 4 \, \log\left(x\right)"," ",0,"x - 2*log(x + 1) + 4*log(x)","A",0
354,1,15,0,1.532242," ","integrate((3*x^2+x+4)/(x^3+x),x, algorithm=""maxima"")","\arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right) + 4 \, \log\left(x\right)"," ",0,"arctan(x) - 1/2*log(x^2 + 1) + 4*log(x)","A",0
355,1,13,0,1.409600," ","integrate((8*x^2-4*x+7)/(1+4*x)/(x^2+1),x, algorithm=""maxima"")","-\arctan\left(x\right) + 2 \, \log\left(4 \, x + 1\right)"," ",0,"-arctan(x) + 2*log(4*x + 1)","A",0
356,1,20,0,0.662465," ","integrate(x^2/(-1+x)/(x^2+2*x+1),x, algorithm=""maxima"")","\frac{1}{2 \, {\left(x + 1\right)}} + \frac{3}{4} \, \log\left(x + 1\right) + \frac{1}{4} \, \log\left(x - 1\right)"," ",0,"1/2/(x + 1) + 3/4*log(x + 1) + 1/4*log(x - 1)","A",0
357,1,26,0,0.746324," ","integrate((x^2+3*x-4)/(-1+2*x)^2/(3+2*x),x, algorithm=""maxima"")","\frac{9}{32 \, {\left(2 \, x - 1\right)}} - \frac{25}{128} \, \log\left(2 \, x + 3\right) + \frac{41}{128} \, \log\left(2 \, x - 1\right)"," ",0,"9/32/(2*x - 1) - 25/128*log(2*x + 3) + 41/128*log(2*x - 1)","A",0
358,1,19,0,1.557712," ","integrate((3*x^2-4*x+5)/(-1+x)/(x^2+1),x, algorithm=""maxima"")","-3 \, \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 1\right) + 2 \, \log\left(x - 1\right)"," ",0,"-3*arctan(x) + 1/2*log(x^2 + 1) + 2*log(x - 1)","A",0
359,1,20,0,1.600446," ","integrate((x^2-2*x-1)/(-1+x)^2/(x^2+1),x, algorithm=""maxima"")","\frac{1}{x - 1} + \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right) + \log\left(x - 1\right)"," ",0,"1/(x - 1) + arctan(x) - 1/2*log(x^2 + 1) + log(x - 1)","A",0
360,1,39,0,1.707623," ","integrate((x^3+5)/(x^2-6*x+10)/(1/2-x+x^2),x, algorithm=""maxima"")","\frac{261}{221} \, \arctan\left(2 \, x - 1\right) + \frac{1026}{221} \, \arctan\left(x - 3\right) + \frac{109}{442} \, \log\left(2 \, x^{2} - 2 \, x + 1\right) + \frac{56}{221} \, \log\left(x^{2} - 6 \, x + 10\right)"," ",0,"261/221*arctan(2*x - 1) + 1026/221*arctan(x - 3) + 109/442*log(2*x^2 - 2*x + 1) + 56/221*log(x^2 - 6*x + 10)","A",0
361,1,19,0,1.067255," ","integrate((x^2+3*x+4)/(-3+x)/(-2+x)/(-1+x),x, algorithm=""maxima"")","4 \, \log\left(x - 1\right) - 14 \, \log\left(x - 2\right) + 11 \, \log\left(x - 3\right)"," ",0,"4*log(x - 1) - 14*log(x - 2) + 11*log(x - 3)","A",0
362,1,47,0,2.797605," ","integrate((1+16*x)/(5+x)^2/(-3+2*x)/(x^2+x+1),x, algorithm=""maxima"")","\frac{451}{8379} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{79}{273 \, {\left(x + 5\right)}} - \frac{481}{5586} \, \log\left(x^{2} + x + 1\right) + \frac{200}{3211} \, \log\left(2 \, x - 3\right) + \frac{2731}{24843} \, \log\left(x + 5\right)"," ",0,"451/8379*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 79/273/(x + 5) - 481/5586*log(x^2 + x + 1) + 200/3211*log(2*x - 3) + 2731/24843*log(x + 5)","A",0
363,1,9,0,0.844579," ","integrate((x^3-1)/(x^2+x+1),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - x"," ",0,"1/2*x^2 - x","A",0
364,1,21,0,1.096234," ","integrate((x^3-3)/(x^2-6*x-7),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + 6 \, x + \frac{1}{2} \, \log\left(x + 1\right) + \frac{85}{2} \, \log\left(x - 7\right)"," ",0,"1/2*x^2 + 6*x + 1/2*log(x + 1) + 85/2*log(x - 7)","A",0
365,1,37,0,1.838619," ","integrate((x^3+1)/(x^2+4*x+13)^2,x, algorithm=""maxima"")","\frac{47 \, x + 67}{18 \, {\left(x^{2} + 4 \, x + 13\right)}} - \frac{61}{54} \, \arctan\left(\frac{1}{3} \, x + \frac{2}{3}\right) + \frac{1}{2} \, \log\left(x^{2} + 4 \, x + 13\right)"," ",0,"1/18*(47*x + 67)/(x^2 + 4*x + 13) - 61/54*arctan(1/3*x + 2/3) + 1/2*log(x^2 + 4*x + 13)","A",0
366,1,28,0,2.024889," ","integrate((3*x^5-10*x^4+21*x^3-42*x^2+36*x-32)/x/(x^2+1)/(x^2+4)^2,x, algorithm=""maxima"")","\frac{1}{x^{2} + 4} + \frac{1}{2} \, \arctan\left(\frac{1}{2} \, x\right) + 2 \, \arctan\left(x\right) + \log\left(x^{2} + 4\right) - 2 \, \log\left(x\right)"," ",0,"1/(x^2 + 4) + 1/2*arctan(1/2*x) + 2*arctan(x) + log(x^2 + 4) - 2*log(x)","A",0
367,1,132,0,2.008592," ","integrate((x^9+7*x^5+x^4-1)/(x^8+6*x^4-7),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + \frac{1}{28} \cdot 7^{\frac{1}{4}} \sqrt{2} \arctan\left(\frac{1}{14} \cdot 7^{\frac{3}{4}} \sqrt{2} {\left(2 \, x + 7^{\frac{1}{4}} \sqrt{2}\right)}\right) + \frac{1}{28} \cdot 7^{\frac{1}{4}} \sqrt{2} \arctan\left(\frac{1}{14} \cdot 7^{\frac{3}{4}} \sqrt{2} {\left(2 \, x - 7^{\frac{1}{4}} \sqrt{2}\right)}\right) + \frac{1}{56} \cdot 7^{\frac{1}{4}} \sqrt{2} \log\left(x^{2} + 7^{\frac{1}{4}} \sqrt{2} x + \sqrt{7}\right) - \frac{1}{56} \cdot 7^{\frac{1}{4}} \sqrt{2} \log\left(x^{2} - 7^{\frac{1}{4}} \sqrt{2} x + \sqrt{7}\right) - \frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{4} \, \log\left(x + 1\right) + \frac{1}{4} \, \log\left(x - 1\right)"," ",0,"1/2*x^2 + 1/28*7^(1/4)*sqrt(2)*arctan(1/14*7^(3/4)*sqrt(2)*(2*x + 7^(1/4)*sqrt(2))) + 1/28*7^(1/4)*sqrt(2)*arctan(1/14*7^(3/4)*sqrt(2)*(2*x - 7^(1/4)*sqrt(2))) + 1/56*7^(1/4)*sqrt(2)*log(x^2 + 7^(1/4)*sqrt(2)*x + sqrt(7)) - 1/56*7^(1/4)*sqrt(2)*log(x^2 - 7^(1/4)*sqrt(2)*x + sqrt(7)) - 1/4*log(x^2 + 1) + 1/4*log(x + 1) + 1/4*log(x - 1)","A",0
368,1,99,0,2.058164," ","integrate((x^6+x^3+1)/(x^5+x),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} {\left(\sqrt{2} + 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) - \frac{1}{4} \, \sqrt{2} {\left(\sqrt{2} - 1\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) - \frac{1}{8} \, \sqrt{2} {\left(\sqrt{2} + 1\right)} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{1}{8} \, \sqrt{2} {\left(\sqrt{2} - 1\right)} \log\left(x^{2} - \sqrt{2} x + 1\right) + \frac{1}{2} \, x^{2} + \log\left(x\right)"," ",0,"1/4*sqrt(2)*(sqrt(2) + 1)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) - 1/4*sqrt(2)*(sqrt(2) - 1)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) - 1/8*sqrt(2)*(sqrt(2) + 1)*log(x^2 + sqrt(2)*x + 1) - 1/8*sqrt(2)*(sqrt(2) - 1)*log(x^2 - sqrt(2)*x + 1) + 1/2*x^2 + log(x)","A",0
369,1,12,0,0.906600," ","integrate((x^2+1)/(x^2-x),x, algorithm=""maxima"")","x + 2 \, \log\left(x - 1\right) - \log\left(x\right)"," ",0,"x + 2*log(x - 1) - log(x)","A",0
370,1,10,0,1.005227," ","integrate((x^3+1)/(x^3-x),x, algorithm=""maxima"")","x + \log\left(x - 1\right) - \log\left(x\right)"," ",0,"x + log(x - 1) - log(x)","A",0
371,1,15,0,0.891886," ","integrate((x^3+1)/(x^3-x^2),x, algorithm=""maxima"")","x + \frac{1}{x} + 2 \, \log\left(x - 1\right) - \log\left(x\right)"," ",0,"x + 1/x + 2*log(x - 1) - log(x)","A",0
372,1,15,0,0.899539," ","integrate((x^5-1)/(x^3-x),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + x - \log\left(x + 1\right) + \log\left(x\right)"," ",0,"1/3*x^3 + x - log(x + 1) + log(x)","A",0
373,1,16,0,1.920564," ","integrate((x^4+1)/(x^5+x^3),x, algorithm=""maxima"")","-\frac{1}{2 \, x^{2}} + \log\left(x^{2} + 1\right) - \log\left(x\right)"," ",0,"-1/2/x^2 + log(x^2 + 1) - log(x)","A",0
374,1,10,0,0.891825," ","integrate((x^2+1)/(x^3+2*x^2+x),x, algorithm=""maxima"")","\frac{2}{x + 1} + \log\left(x\right)"," ",0,"2/(x + 1) + log(x)","A",0
375,1,30,0,0.878240," ","integrate((x^5+1)/(x^3-3*x^2-10*x),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + \frac{3}{2} \, x^{2} + 19 \, x - \frac{31}{14} \, \log\left(x + 2\right) + \frac{3126}{35} \, \log\left(x - 5\right) - \frac{1}{10} \, \log\left(x\right)"," ",0,"1/3*x^3 + 3/2*x^2 + 19*x - 31/14*log(x + 2) + 3126/35*log(x - 5) - 1/10*log(x)","A",0
376,1,38,0,1.972036," ","integrate((x^3+x^2-5*x+15)/(x^2+5)/(x^2+2*x+3),x, algorithm=""maxima"")","\frac{5}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(x + 1\right)}\right) - \sqrt{5} \arctan\left(\frac{1}{5} \, \sqrt{5} x\right) + \frac{1}{2} \, \log\left(x^{2} + 2 \, x + 3\right)"," ",0,"5/2*sqrt(2)*arctan(1/2*sqrt(2)*(x + 1)) - sqrt(5)*arctan(1/5*sqrt(5)*x) + 1/2*log(x^2 + 2*x + 3)","A",0
377,1,15,0,1.025841," ","integrate(1/(x^2+1)/(3+10*x/(x^2+1)),x, algorithm=""maxima"")","\frac{1}{8} \, \log\left(3 \, x + 1\right) - \frac{1}{8} \, \log\left(x + 3\right)"," ",0,"1/8*log(3*x + 1) - 1/8*log(x + 3)","A",0
378,1,30,0,0.994907," ","integrate(x^3/(13+2/x+15*x),x, algorithm=""maxima"")","\frac{1}{45} \, x^{3} - \frac{13}{450} \, x^{2} + \frac{139}{3375} \, x + \frac{1}{4375} \, \log\left(5 \, x + 1\right) - \frac{16}{567} \, \log\left(3 \, x + 2\right)"," ",0,"1/45*x^3 - 13/450*x^2 + 139/3375*x + 1/4375*log(5*x + 1) - 16/567*log(3*x + 2)","A",0
379,1,25,0,1.020499," ","integrate(x^2/(13+2/x+15*x),x, algorithm=""maxima"")","\frac{1}{30} \, x^{2} - \frac{13}{225} \, x - \frac{1}{875} \, \log\left(5 \, x + 1\right) + \frac{8}{189} \, \log\left(3 \, x + 2\right)"," ",0,"1/30*x^2 - 13/225*x - 1/875*log(5*x + 1) + 8/189*log(3*x + 2)","A",0
380,1,20,0,1.026838," ","integrate(x/(13+2/x+15*x),x, algorithm=""maxima"")","\frac{1}{15} \, x + \frac{1}{175} \, \log\left(5 \, x + 1\right) - \frac{4}{63} \, \log\left(3 \, x + 2\right)"," ",0,"1/15*x + 1/175*log(5*x + 1) - 4/63*log(3*x + 2)","A",0
381,1,17,0,1.172586," ","integrate(1/(13+2/x+15*x),x, algorithm=""maxima"")","-\frac{1}{35} \, \log\left(5 \, x + 1\right) + \frac{2}{21} \, \log\left(3 \, x + 2\right)"," ",0,"-1/35*log(5*x + 1) + 2/21*log(3*x + 2)","A",0
382,1,17,0,0.926302," ","integrate(1/x/(13+2/x+15*x),x, algorithm=""maxima"")","\frac{1}{7} \, \log\left(5 \, x + 1\right) - \frac{1}{7} \, \log\left(3 \, x + 2\right)"," ",0,"1/7*log(5*x + 1) - 1/7*log(3*x + 2)","A",0
383,1,21,0,0.916337," ","integrate(1/x^2/(13+2/x+15*x),x, algorithm=""maxima"")","-\frac{5}{7} \, \log\left(5 \, x + 1\right) + \frac{3}{14} \, \log\left(3 \, x + 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-5/7*log(5*x + 1) + 3/14*log(3*x + 2) + 1/2*log(x)","A",0
384,1,26,0,1.061768," ","integrate(1/x^3/(13+2/x+15*x),x, algorithm=""maxima"")","-\frac{1}{2 \, x} + \frac{25}{7} \, \log\left(5 \, x + 1\right) - \frac{9}{28} \, \log\left(3 \, x + 2\right) - \frac{13}{4} \, \log\left(x\right)"," ",0,"-1/2/x + 25/7*log(5*x + 1) - 9/28*log(3*x + 2) - 13/4*log(x)","A",0
385,1,31,0,1.015007," ","integrate(1/x^4/(13+2/x+15*x),x, algorithm=""maxima"")","\frac{13 \, x - 1}{4 \, x^{2}} - \frac{125}{7} \, \log\left(5 \, x + 1\right) + \frac{27}{56} \, \log\left(3 \, x + 2\right) + \frac{139}{8} \, \log\left(x\right)"," ",0,"1/4*(13*x - 1)/x^2 - 125/7*log(5*x + 1) + 27/56*log(3*x + 2) + 139/8*log(x)","A",0
386,1,36,0,1.070681," ","integrate(1/x^5/(13+2/x+15*x),x, algorithm=""maxima"")","-\frac{417 \, x^{2} - 39 \, x + 4}{24 \, x^{3}} + \frac{625}{7} \, \log\left(5 \, x + 1\right) - \frac{81}{112} \, \log\left(3 \, x + 2\right) - \frac{1417}{16} \, \log\left(x\right)"," ",0,"-1/24*(417*x^2 - 39*x + 4)/x^3 + 625/7*log(5*x + 1) - 81/112*log(3*x + 2) - 1417/16*log(x)","A",0
387,0,0,0,0.000000," ","integrate(x^2/(2-(x^2+1)^4),x, algorithm=""maxima"")","-\int \frac{x^{2}}{{\left(x^{2} + 1\right)}^{4} - 2}\,{d x}"," ",0,"-integrate(x^2/((x^2 + 1)^4 - 2), x)","F",0
388,0,0,0,0.000000," ","integrate(x^2/(2-(-x^2+1)^4),x, algorithm=""maxima"")","-\int \frac{x^{2}}{{\left(x^{2} - 1\right)}^{4} - 2}\,{d x}"," ",0,"-integrate(x^2/((x^2 - 1)^4 - 2), x)","F",0
389,0,0,0,0.000000," ","integrate(x^2/(2+(x^2+1)^4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(x^{2} + 1\right)}^{4} + 2}\,{d x}"," ",0,"integrate(x^2/((x^2 + 1)^4 + 2), x)","F",0
390,0,0,0,0.000000," ","integrate(x^2/(2+(-x^2+1)^4),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(x^{2} - 1\right)}^{4} + 2}\,{d x}"," ",0,"integrate(x^2/((x^2 - 1)^4 + 2), x)","F",0
391,0,0,0,0.000000," ","integrate((-x^2+1)/(a+b*(-x^2+1)^4),x, algorithm=""maxima"")","-\int \frac{x^{2} - 1}{{\left(x^{2} - 1\right)}^{4} b + a}\,{d x}"," ",0,"-integrate((x^2 - 1)/((x^2 - 1)^4*b + a), x)","F",0
392,0,0,0,0.000000," ","integrate((-x^2+1)/(a+b*(x^2-1)^4),x, algorithm=""maxima"")","-\int \frac{x^{2} - 1}{{\left(x^{2} - 1\right)}^{4} b + a}\,{d x}"," ",0,"-integrate((x^2 - 1)/((x^2 - 1)^4*b + a), x)","F",0
393,0,0,0,0.000000," ","integrate((x^2+1)^2/(a*x^6+b*(x^2+1)^3),x, algorithm=""maxima"")","\int \frac{{\left(x^{2} + 1\right)}^{2}}{a x^{6} + {\left(x^{2} + 1\right)}^{3} b}\,{d x}"," ",0,"integrate((x^2 + 1)^2/(a*x^6 + (x^2 + 1)^3*b), x)","F",0
394,1,310,0,1.956481," ","integrate((e*x+d)^3/(c*x^4+a),x, algorithm=""maxima"")","\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{3} + c d^{3} - 3 \, \sqrt{a} \sqrt{c} d e^{2}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{5}{4}}} + \frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{3} - c d^{3} + 3 \, \sqrt{a} \sqrt{c} d e^{2}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{5}{4}}} + \frac{{\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{5}{4}} d^{3} + 3 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{3}{4}} d e^{2} - 6 \, \sqrt{a} c d^{2} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}} + \frac{{\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{5}{4}} d^{3} + 3 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{3}{4}} d e^{2} + 6 \, \sqrt{a} c d^{2} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}}"," ",0,"1/8*sqrt(2)*(sqrt(2)*a^(3/4)*c^(1/4)*e^3 + c*d^3 - 3*sqrt(a)*sqrt(c)*d*e^2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) + 1/8*sqrt(2)*(sqrt(2)*a^(3/4)*c^(1/4)*e^3 - c*d^3 + 3*sqrt(a)*sqrt(c)*d*e^2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) + 1/4*(sqrt(2)*a^(1/4)*c^(5/4)*d^3 + 3*sqrt(2)*a^(3/4)*c^(3/4)*d*e^2 - 6*sqrt(a)*c*d^2*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)) + 1/4*(sqrt(2)*a^(1/4)*c^(5/4)*d^3 + 3*sqrt(2)*a^(3/4)*c^(3/4)*d*e^2 + 6*sqrt(a)*c*d^2*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4))","A",0
395,1,275,0,2.047067," ","integrate((e*x+d)^2/(c*x^4+a),x, algorithm=""maxima"")","\frac{\sqrt{2} {\left(\sqrt{c} d^{2} - \sqrt{a} e^{2}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(\sqrt{c} d^{2} - \sqrt{a} e^{2}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{{\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{3}{4}} d^{2} + \sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{2} - 4 \, \sqrt{a} \sqrt{c} d e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{3}{4}}} + \frac{{\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{3}{4}} d^{2} + \sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{2} + 4 \, \sqrt{a} \sqrt{c} d e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{3}{4}}}"," ",0,"1/8*sqrt(2)*(sqrt(c)*d^2 - sqrt(a)*e^2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - 1/8*sqrt(2)*(sqrt(c)*d^2 - sqrt(a)*e^2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + 1/4*(sqrt(2)*a^(1/4)*c^(3/4)*d^2 + sqrt(2)*a^(3/4)*c^(1/4)*e^2 - 4*sqrt(a)*sqrt(c)*d*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(3/4)) + 1/4*(sqrt(2)*a^(1/4)*c^(3/4)*d^2 + sqrt(2)*a^(3/4)*c^(1/4)*e^2 + 4*sqrt(a)*sqrt(c)*d*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(3/4))","A",0
396,1,207,0,2.665779," ","integrate((e*x+d)/(c*x^4+a),x, algorithm=""maxima"")","\frac{\sqrt{2} d \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} d \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{1}{4}}} + \frac{{\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} d - 2 \, \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{1}{4}}} + \frac{{\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} d + 2 \, \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{1}{4}}}"," ",0,"1/8*sqrt(2)*d*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - 1/8*sqrt(2)*d*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) + 1/4*(sqrt(2)*a^(1/4)*c^(1/4)*d - 2*sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(1/4)) + 1/4*(sqrt(2)*a^(1/4)*c^(1/4)*d + 2*sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(1/4))","A",0
397,1,169,0,2.367247," ","integrate(1/(c*x^4+a),x, algorithm=""maxima"")","\frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{4 \, \sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{8 \, a^{\frac{3}{4}} c^{\frac{1}{4}}}"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 1/8*sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - 1/8*sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4))","A",0
398,1,345,0,2.726579," ","integrate(1/(e*x+d)/(c*x^4+a),x, algorithm=""maxima"")","\frac{e^{3} \log\left(e x + d\right)}{c d^{4} + a e^{4}} - \frac{c {\left(\frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{3} - c d^{3} + \sqrt{a} \sqrt{c} d e^{2}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} + \frac{\sqrt{2} {\left(\sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{3} + c d^{3} - \sqrt{a} \sqrt{c} d e^{2}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} - \frac{2 \, {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{5}{4}} d^{3} + \sqrt{2} a^{\frac{3}{4}} c^{\frac{3}{4}} d e^{2} + 2 \, \sqrt{a} c d^{2} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}} - \frac{2 \, {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{5}{4}} d^{3} + \sqrt{2} a^{\frac{3}{4}} c^{\frac{3}{4}} d e^{2} - 2 \, \sqrt{a} c d^{2} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}}\right)}}{8 \, {\left(c d^{4} + a e^{4}\right)}}"," ",0,"e^3*log(e*x + d)/(c*d^4 + a*e^4) - 1/8*c*(sqrt(2)*(sqrt(2)*a^(3/4)*c^(1/4)*e^3 - c*d^3 + sqrt(a)*sqrt(c)*d*e^2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) + sqrt(2)*(sqrt(2)*a^(3/4)*c^(1/4)*e^3 + c*d^3 - sqrt(a)*sqrt(c)*d*e^2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) - 2*(sqrt(2)*a^(1/4)*c^(5/4)*d^3 + sqrt(2)*a^(3/4)*c^(3/4)*d*e^2 + 2*sqrt(a)*c*d^2*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)) - 2*(sqrt(2)*a^(1/4)*c^(5/4)*d^3 + sqrt(2)*a^(3/4)*c^(3/4)*d*e^2 - 2*sqrt(a)*c*d^2*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)))/(c*d^4 + a*e^4)","A",0
399,1,561,0,2.109171," ","integrate(1/(e*x+d)^2/(c*x^4+a),x, algorithm=""maxima"")","\frac{4 \, c d^{3} e^{3} \log\left(e x + d\right)}{c^{2} d^{8} + 2 \, a c d^{4} e^{4} + a^{2} e^{8}} - \frac{e^{3}}{c d^{5} + a d e^{4} + {\left(c d^{4} e + a e^{5}\right)} x} - \frac{c {\left(\frac{\sqrt{2} {\left(4 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{5}{4}} d^{3} e^{3} - c^{2} d^{6} + 3 \, \sqrt{a} c^{\frac{3}{2}} d^{4} e^{2} + 3 \, a c d^{2} e^{4} - a^{\frac{3}{2}} \sqrt{c} e^{6}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} + \frac{\sqrt{2} {\left(4 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{5}{4}} d^{3} e^{3} + c^{2} d^{6} - 3 \, \sqrt{a} c^{\frac{3}{2}} d^{4} e^{2} - 3 \, a c d^{2} e^{4} + a^{\frac{3}{2}} \sqrt{c} e^{6}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} - \frac{2 \, {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{9}{4}} d^{6} + 3 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{7}{4}} d^{4} e^{2} - 3 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{5}{4}} d^{2} e^{4} - \sqrt{2} a^{\frac{7}{4}} c^{\frac{3}{4}} e^{6} + 4 \, \sqrt{a} c^{2} d^{5} e - 4 \, a^{\frac{3}{2}} c d e^{5}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}} - \frac{2 \, {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{9}{4}} d^{6} + 3 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{7}{4}} d^{4} e^{2} - 3 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{5}{4}} d^{2} e^{4} - \sqrt{2} a^{\frac{7}{4}} c^{\frac{3}{4}} e^{6} - 4 \, \sqrt{a} c^{2} d^{5} e + 4 \, a^{\frac{3}{2}} c d e^{5}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}}\right)}}{8 \, {\left(c^{2} d^{8} + 2 \, a c d^{4} e^{4} + a^{2} e^{8}\right)}}"," ",0,"4*c*d^3*e^3*log(e*x + d)/(c^2*d^8 + 2*a*c*d^4*e^4 + a^2*e^8) - e^3/(c*d^5 + a*d*e^4 + (c*d^4*e + a*e^5)*x) - 1/8*c*(sqrt(2)*(4*sqrt(2)*a^(3/4)*c^(5/4)*d^3*e^3 - c^2*d^6 + 3*sqrt(a)*c^(3/2)*d^4*e^2 + 3*a*c*d^2*e^4 - a^(3/2)*sqrt(c)*e^6)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) + sqrt(2)*(4*sqrt(2)*a^(3/4)*c^(5/4)*d^3*e^3 + c^2*d^6 - 3*sqrt(a)*c^(3/2)*d^4*e^2 - 3*a*c*d^2*e^4 + a^(3/2)*sqrt(c)*e^6)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) - 2*(sqrt(2)*a^(1/4)*c^(9/4)*d^6 + 3*sqrt(2)*a^(3/4)*c^(7/4)*d^4*e^2 - 3*sqrt(2)*a^(5/4)*c^(5/4)*d^2*e^4 - sqrt(2)*a^(7/4)*c^(3/4)*e^6 + 4*sqrt(a)*c^2*d^5*e - 4*a^(3/2)*c*d*e^5)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)) - 2*(sqrt(2)*a^(1/4)*c^(9/4)*d^6 + 3*sqrt(2)*a^(3/4)*c^(7/4)*d^4*e^2 - 3*sqrt(2)*a^(5/4)*c^(5/4)*d^2*e^4 - sqrt(2)*a^(7/4)*c^(3/4)*e^6 - 4*sqrt(a)*c^2*d^5*e + 4*a^(3/2)*c*d*e^5)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)))/(c^2*d^8 + 2*a*c*d^4*e^4 + a^2*e^8)","A",0
400,1,817,0,2.341897," ","integrate(1/(e*x+d)^3/(c*x^4+a),x, algorithm=""maxima"")","-\frac{c {\left(\frac{\sqrt{2} {\left(10 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{9}{4}} d^{6} e^{3} - 6 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{5}{4}} d^{2} e^{7} - c^{3} d^{9} + 6 \, \sqrt{a} c^{\frac{5}{2}} d^{7} e^{2} + 12 \, a c^{2} d^{5} e^{4} - 10 \, a^{\frac{3}{2}} c^{\frac{3}{2}} d^{3} e^{6} - 3 \, a^{2} c d e^{8}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} + \frac{\sqrt{2} {\left(10 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{9}{4}} d^{6} e^{3} - 6 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{5}{4}} d^{2} e^{7} + c^{3} d^{9} - 6 \, \sqrt{a} c^{\frac{5}{2}} d^{7} e^{2} - 12 \, a c^{2} d^{5} e^{4} + 10 \, a^{\frac{3}{2}} c^{\frac{3}{2}} d^{3} e^{6} + 3 \, a^{2} c d e^{8}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} - \frac{2 \, {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{13}{4}} d^{9} + 6 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{11}{4}} d^{7} e^{2} - 12 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{9}{4}} d^{5} e^{4} - 10 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{7}{4}} d^{3} e^{6} + 3 \, \sqrt{2} a^{\frac{9}{4}} c^{\frac{5}{4}} d e^{8} + 6 \, \sqrt{a} c^{3} d^{8} e - 24 \, a^{\frac{3}{2}} c^{2} d^{4} e^{5} + 2 \, a^{\frac{5}{2}} c e^{9}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}} - \frac{2 \, {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{13}{4}} d^{9} + 6 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{11}{4}} d^{7} e^{2} - 12 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{9}{4}} d^{5} e^{4} - 10 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{7}{4}} d^{3} e^{6} + 3 \, \sqrt{2} a^{\frac{9}{4}} c^{\frac{5}{4}} d e^{8} - 6 \, \sqrt{a} c^{3} d^{8} e + 24 \, a^{\frac{3}{2}} c^{2} d^{4} e^{5} - 2 \, a^{\frac{5}{2}} c e^{9}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}}\right)}}{8 \, {\left(c^{3} d^{12} + 3 \, a c^{2} d^{8} e^{4} + 3 \, a^{2} c d^{4} e^{8} + a^{3} e^{12}\right)}} + \frac{2 \, {\left(5 \, c^{2} d^{6} e^{3} - 3 \, a c d^{2} e^{7}\right)} \log\left(e x + d\right)}{c^{3} d^{12} + 3 \, a c^{2} d^{8} e^{4} + 3 \, a^{2} c d^{4} e^{8} + a^{3} e^{12}} - \frac{8 \, c d^{3} e^{4} x + 9 \, c d^{4} e^{3} + a e^{7}}{2 \, {\left(c^{2} d^{10} + 2 \, a c d^{6} e^{4} + a^{2} d^{2} e^{8} + {\left(c^{2} d^{8} e^{2} + 2 \, a c d^{4} e^{6} + a^{2} e^{10}\right)} x^{2} + 2 \, {\left(c^{2} d^{9} e + 2 \, a c d^{5} e^{5} + a^{2} d e^{9}\right)} x\right)}}"," ",0,"-1/8*c*(sqrt(2)*(10*sqrt(2)*a^(3/4)*c^(9/4)*d^6*e^3 - 6*sqrt(2)*a^(7/4)*c^(5/4)*d^2*e^7 - c^3*d^9 + 6*sqrt(a)*c^(5/2)*d^7*e^2 + 12*a*c^2*d^5*e^4 - 10*a^(3/2)*c^(3/2)*d^3*e^6 - 3*a^2*c*d*e^8)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) + sqrt(2)*(10*sqrt(2)*a^(3/4)*c^(9/4)*d^6*e^3 - 6*sqrt(2)*a^(7/4)*c^(5/4)*d^2*e^7 + c^3*d^9 - 6*sqrt(a)*c^(5/2)*d^7*e^2 - 12*a*c^2*d^5*e^4 + 10*a^(3/2)*c^(3/2)*d^3*e^6 + 3*a^2*c*d*e^8)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) - 2*(sqrt(2)*a^(1/4)*c^(13/4)*d^9 + 6*sqrt(2)*a^(3/4)*c^(11/4)*d^7*e^2 - 12*sqrt(2)*a^(5/4)*c^(9/4)*d^5*e^4 - 10*sqrt(2)*a^(7/4)*c^(7/4)*d^3*e^6 + 3*sqrt(2)*a^(9/4)*c^(5/4)*d*e^8 + 6*sqrt(a)*c^3*d^8*e - 24*a^(3/2)*c^2*d^4*e^5 + 2*a^(5/2)*c*e^9)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)) - 2*(sqrt(2)*a^(1/4)*c^(13/4)*d^9 + 6*sqrt(2)*a^(3/4)*c^(11/4)*d^7*e^2 - 12*sqrt(2)*a^(5/4)*c^(9/4)*d^5*e^4 - 10*sqrt(2)*a^(7/4)*c^(7/4)*d^3*e^6 + 3*sqrt(2)*a^(9/4)*c^(5/4)*d*e^8 - 6*sqrt(a)*c^3*d^8*e + 24*a^(3/2)*c^2*d^4*e^5 - 2*a^(5/2)*c*e^9)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)))/(c^3*d^12 + 3*a*c^2*d^8*e^4 + 3*a^2*c*d^4*e^8 + a^3*e^12) + 2*(5*c^2*d^6*e^3 - 3*a*c*d^2*e^7)*log(e*x + d)/(c^3*d^12 + 3*a*c^2*d^8*e^4 + 3*a^2*c*d^4*e^8 + a^3*e^12) - 1/2*(8*c*d^3*e^4*x + 9*c*d^4*e^3 + a*e^7)/(c^2*d^10 + 2*a*c*d^6*e^4 + a^2*d^2*e^8 + (c^2*d^8*e^2 + 2*a*c*d^4*e^6 + a^2*e^10)*x^2 + 2*(c^2*d^9*e + 2*a*c*d^5*e^5 + a^2*d*e^9)*x)","A",0
401,1,332,0,2.200245," ","integrate((e*x+d)^3/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{3 \, d {\left(\frac{\sqrt{2} {\left(\sqrt{c} d^{2} - \sqrt{a} e^{2}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(\sqrt{c} d^{2} - \sqrt{a} e^{2}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{2 \, {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{3}{4}} d^{2} + \sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{2} - 4 \, \sqrt{a} \sqrt{c} d e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{3}{4}}} + \frac{2 \, {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{3}{4}} d^{2} + \sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{2} + 4 \, \sqrt{a} \sqrt{c} d e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{3}{4}}}\right)}}{32 \, a} + \frac{3 \, c d e^{2} x^{3} + 3 \, c d^{2} e x^{2} + c d^{3} x - a e^{3}}{4 \, {\left(a c^{2} x^{4} + a^{2} c\right)}}"," ",0,"3/32*d*(sqrt(2)*(sqrt(c)*d^2 - sqrt(a)*e^2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(sqrt(c)*d^2 - sqrt(a)*e^2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + 2*(sqrt(2)*a^(1/4)*c^(3/4)*d^2 + sqrt(2)*a^(3/4)*c^(1/4)*e^2 - 4*sqrt(a)*sqrt(c)*d*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(3/4)) + 2*(sqrt(2)*a^(1/4)*c^(3/4)*d^2 + sqrt(2)*a^(3/4)*c^(1/4)*e^2 + 4*sqrt(a)*sqrt(c)*d*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(3/4)))/a + 1/4*(3*c*d*e^2*x^3 + 3*c*d^2*e*x^2 + c*d^3*x - a*e^3)/(a*c^2*x^4 + a^2*c)","A",0
402,1,318,0,2.630021," ","integrate((e*x+d)^2/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{e^{2} x^{3} + 2 \, d e x^{2} + d^{2} x}{4 \, {\left(a c x^{4} + a^{2}\right)}} + \frac{\frac{\sqrt{2} {\left(3 \, \sqrt{c} d^{2} - \sqrt{a} e^{2}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(3 \, \sqrt{c} d^{2} - \sqrt{a} e^{2}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{2 \, {\left(3 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{3}{4}} d^{2} + \sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{2} - 8 \, \sqrt{a} \sqrt{c} d e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{3}{4}}} + \frac{2 \, {\left(3 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{3}{4}} d^{2} + \sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{2} + 8 \, \sqrt{a} \sqrt{c} d e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{3}{4}}}}{32 \, a}"," ",0,"1/4*(e^2*x^3 + 2*d*e*x^2 + d^2*x)/(a*c*x^4 + a^2) + 1/32*(sqrt(2)*(3*sqrt(c)*d^2 - sqrt(a)*e^2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(3*sqrt(c)*d^2 - sqrt(a)*e^2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + 2*(3*sqrt(2)*a^(1/4)*c^(3/4)*d^2 + sqrt(2)*a^(3/4)*c^(1/4)*e^2 - 8*sqrt(a)*sqrt(c)*d*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(3/4)) + 2*(3*sqrt(2)*a^(1/4)*c^(3/4)*d^2 + sqrt(2)*a^(3/4)*c^(1/4)*e^2 + 8*sqrt(a)*sqrt(c)*d*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(3/4)))/a","A",0
403,1,238,0,2.432802," ","integrate((e*x+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{e x^{2} + d x}{4 \, {\left(a c x^{4} + a^{2}\right)}} + \frac{\frac{3 \, \sqrt{2} d \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{3 \, \sqrt{2} d \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}} + \frac{2 \, {\left(3 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} d - 4 \, \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{1}{4}}} + \frac{2 \, {\left(3 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} d + 4 \, \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{1}{4}}}}{32 \, a}"," ",0,"1/4*(e*x^2 + d*x)/(a*c*x^4 + a^2) + 1/32*(3*sqrt(2)*d*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - 3*sqrt(2)*d*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) + 2*(3*sqrt(2)*a^(1/4)*c^(1/4)*d - 4*sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(1/4)) + 2*(3*sqrt(2)*a^(1/4)*c^(1/4)*d + 4*sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(1/4)))/a","A",0
404,1,189,0,2.107897," ","integrate(1/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{x}{4 \, {\left(a c x^{4} + a^{2}\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}}\right)}}{32 \, a}"," ",0,"1/4*x/(a*c*x^4 + a^2) + 3/32*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)))/a","A",0
405,1,601,0,2.291404," ","integrate(1/(e*x+d)/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{e^{7} \log\left(e x + d\right)}{c^{2} d^{8} + 2 \, a c d^{4} e^{4} + a^{2} e^{8}} - \frac{c {\left(\frac{\sqrt{2} {\left(4 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{1}{4}} e^{7} - 3 \, c^{2} d^{7} + \sqrt{a} c^{\frac{3}{2}} d^{5} e^{2} - 7 \, a c d^{3} e^{4} + 5 \, a^{\frac{3}{2}} \sqrt{c} d e^{6}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} + \frac{\sqrt{2} {\left(4 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{1}{4}} e^{7} + 3 \, c^{2} d^{7} - \sqrt{a} c^{\frac{3}{2}} d^{5} e^{2} + 7 \, a c d^{3} e^{4} - 5 \, a^{\frac{3}{2}} \sqrt{c} d e^{6}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} - \frac{2 \, {\left(3 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{9}{4}} d^{7} + \sqrt{2} a^{\frac{3}{4}} c^{\frac{7}{4}} d^{5} e^{2} + 7 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{5}{4}} d^{3} e^{4} + 5 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{3}{4}} d e^{6} + 4 \, \sqrt{a} c^{2} d^{6} e + 12 \, a^{\frac{3}{2}} c d^{2} e^{5}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}} - \frac{2 \, {\left(3 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{9}{4}} d^{7} + \sqrt{2} a^{\frac{3}{4}} c^{\frac{7}{4}} d^{5} e^{2} + 7 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{5}{4}} d^{3} e^{4} + 5 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{3}{4}} d e^{6} - 4 \, \sqrt{a} c^{2} d^{6} e - 12 \, a^{\frac{3}{2}} c d^{2} e^{5}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}}\right)}}{32 \, {\left(a c^{2} d^{8} + 2 \, a^{2} c d^{4} e^{4} + a^{3} e^{8}\right)}} + \frac{c d e^{2} x^{3} - c d^{2} e x^{2} + c d^{3} x + a e^{3}}{4 \, {\left(a^{2} c d^{4} + a^{3} e^{4} + {\left(a c^{2} d^{4} + a^{2} c e^{4}\right)} x^{4}\right)}}"," ",0,"e^7*log(e*x + d)/(c^2*d^8 + 2*a*c*d^4*e^4 + a^2*e^8) - 1/32*c*(sqrt(2)*(4*sqrt(2)*a^(7/4)*c^(1/4)*e^7 - 3*c^2*d^7 + sqrt(a)*c^(3/2)*d^5*e^2 - 7*a*c*d^3*e^4 + 5*a^(3/2)*sqrt(c)*d*e^6)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) + sqrt(2)*(4*sqrt(2)*a^(7/4)*c^(1/4)*e^7 + 3*c^2*d^7 - sqrt(a)*c^(3/2)*d^5*e^2 + 7*a*c*d^3*e^4 - 5*a^(3/2)*sqrt(c)*d*e^6)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) - 2*(3*sqrt(2)*a^(1/4)*c^(9/4)*d^7 + sqrt(2)*a^(3/4)*c^(7/4)*d^5*e^2 + 7*sqrt(2)*a^(5/4)*c^(5/4)*d^3*e^4 + 5*sqrt(2)*a^(7/4)*c^(3/4)*d*e^6 + 4*sqrt(a)*c^2*d^6*e + 12*a^(3/2)*c*d^2*e^5)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)) - 2*(3*sqrt(2)*a^(1/4)*c^(9/4)*d^7 + sqrt(2)*a^(3/4)*c^(7/4)*d^5*e^2 + 7*sqrt(2)*a^(5/4)*c^(5/4)*d^3*e^4 + 5*sqrt(2)*a^(7/4)*c^(3/4)*d*e^6 - 4*sqrt(a)*c^2*d^6*e - 12*a^(3/2)*c*d^2*e^5)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)))/(a*c^2*d^8 + 2*a^2*c*d^4*e^4 + a^3*e^8) + 1/4*(c*d*e^2*x^3 - c*d^2*e*x^2 + c*d^3*x + a*e^3)/(a^2*c*d^4 + a^3*e^4 + (a*c^2*d^4 + a^2*c*e^4)*x^4)","A",0
406,1,961,0,2.540753," ","integrate(1/(e*x+d)^2/(c*x^4+a)^2,x, algorithm=""maxima"")","\frac{8 \, c d^{3} e^{7} \log\left(e x + d\right)}{c^{3} d^{12} + 3 \, a c^{2} d^{8} e^{4} + 3 \, a^{2} c d^{4} e^{8} + a^{3} e^{12}} - \frac{c {\left(\frac{\sqrt{2} {\left(32 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{5}{4}} d^{3} e^{7} - 3 \, c^{3} d^{10} + 3 \, \sqrt{a} c^{\frac{5}{2}} d^{8} e^{2} - 14 \, a c^{2} d^{6} e^{4} + 30 \, a^{\frac{3}{2}} c^{\frac{3}{2}} d^{4} e^{6} + 21 \, a^{2} c d^{2} e^{8} - 5 \, a^{\frac{5}{2}} \sqrt{c} e^{10}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} + \frac{\sqrt{2} {\left(32 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{5}{4}} d^{3} e^{7} + 3 \, c^{3} d^{10} - 3 \, \sqrt{a} c^{\frac{5}{2}} d^{8} e^{2} + 14 \, a c^{2} d^{6} e^{4} - 30 \, a^{\frac{3}{2}} c^{\frac{3}{2}} d^{4} e^{6} - 21 \, a^{2} c d^{2} e^{8} + 5 \, a^{\frac{5}{2}} \sqrt{c} e^{10}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} - \frac{2 \, {\left(3 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{13}{4}} d^{10} + 3 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{11}{4}} d^{8} e^{2} + 14 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{9}{4}} d^{6} e^{4} + 30 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{7}{4}} d^{4} e^{6} - 21 \, \sqrt{2} a^{\frac{9}{4}} c^{\frac{5}{4}} d^{2} e^{8} - 5 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{3}{4}} e^{10} + 8 \, \sqrt{a} c^{3} d^{9} e + 48 \, a^{\frac{3}{2}} c^{2} d^{5} e^{5} - 24 \, a^{\frac{5}{2}} c d e^{9}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}} - \frac{2 \, {\left(3 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{13}{4}} d^{10} + 3 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{11}{4}} d^{8} e^{2} + 14 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{9}{4}} d^{6} e^{4} + 30 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{7}{4}} d^{4} e^{6} - 21 \, \sqrt{2} a^{\frac{9}{4}} c^{\frac{5}{4}} d^{2} e^{8} - 5 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{3}{4}} e^{10} - 8 \, \sqrt{a} c^{3} d^{9} e - 48 \, a^{\frac{3}{2}} c^{2} d^{5} e^{5} + 24 \, a^{\frac{5}{2}} c d e^{9}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}}\right)}}{32 \, {\left(a c^{3} d^{12} + 3 \, a^{2} c^{2} d^{8} e^{4} + 3 \, a^{3} c d^{4} e^{8} + a^{4} e^{12}\right)}} + \frac{4 \, a c d^{4} e^{3} - 4 \, a^{2} e^{7} + {\left(3 \, c^{2} d^{4} e^{3} - 5 \, a c e^{7}\right)} x^{4} + {\left(c^{2} d^{5} e^{2} + a c d e^{6}\right)} x^{3} - {\left(c^{2} d^{6} e + a c d^{2} e^{5}\right)} x^{2} + {\left(c^{2} d^{7} + a c d^{3} e^{4}\right)} x}{4 \, {\left(a^{2} c^{2} d^{9} + 2 \, a^{3} c d^{5} e^{4} + a^{4} d e^{8} + {\left(a c^{3} d^{8} e + 2 \, a^{2} c^{2} d^{4} e^{5} + a^{3} c e^{9}\right)} x^{5} + {\left(a c^{3} d^{9} + 2 \, a^{2} c^{2} d^{5} e^{4} + a^{3} c d e^{8}\right)} x^{4} + {\left(a^{2} c^{2} d^{8} e + 2 \, a^{3} c d^{4} e^{5} + a^{4} e^{9}\right)} x\right)}}"," ",0,"8*c*d^3*e^7*log(e*x + d)/(c^3*d^12 + 3*a*c^2*d^8*e^4 + 3*a^2*c*d^4*e^8 + a^3*e^12) - 1/32*c*(sqrt(2)*(32*sqrt(2)*a^(7/4)*c^(5/4)*d^3*e^7 - 3*c^3*d^10 + 3*sqrt(a)*c^(5/2)*d^8*e^2 - 14*a*c^2*d^6*e^4 + 30*a^(3/2)*c^(3/2)*d^4*e^6 + 21*a^2*c*d^2*e^8 - 5*a^(5/2)*sqrt(c)*e^10)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) + sqrt(2)*(32*sqrt(2)*a^(7/4)*c^(5/4)*d^3*e^7 + 3*c^3*d^10 - 3*sqrt(a)*c^(5/2)*d^8*e^2 + 14*a*c^2*d^6*e^4 - 30*a^(3/2)*c^(3/2)*d^4*e^6 - 21*a^2*c*d^2*e^8 + 5*a^(5/2)*sqrt(c)*e^10)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) - 2*(3*sqrt(2)*a^(1/4)*c^(13/4)*d^10 + 3*sqrt(2)*a^(3/4)*c^(11/4)*d^8*e^2 + 14*sqrt(2)*a^(5/4)*c^(9/4)*d^6*e^4 + 30*sqrt(2)*a^(7/4)*c^(7/4)*d^4*e^6 - 21*sqrt(2)*a^(9/4)*c^(5/4)*d^2*e^8 - 5*sqrt(2)*a^(11/4)*c^(3/4)*e^10 + 8*sqrt(a)*c^3*d^9*e + 48*a^(3/2)*c^2*d^5*e^5 - 24*a^(5/2)*c*d*e^9)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)) - 2*(3*sqrt(2)*a^(1/4)*c^(13/4)*d^10 + 3*sqrt(2)*a^(3/4)*c^(11/4)*d^8*e^2 + 14*sqrt(2)*a^(5/4)*c^(9/4)*d^6*e^4 + 30*sqrt(2)*a^(7/4)*c^(7/4)*d^4*e^6 - 21*sqrt(2)*a^(9/4)*c^(5/4)*d^2*e^8 - 5*sqrt(2)*a^(11/4)*c^(3/4)*e^10 - 8*sqrt(a)*c^3*d^9*e - 48*a^(3/2)*c^2*d^5*e^5 + 24*a^(5/2)*c*d*e^9)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)))/(a*c^3*d^12 + 3*a^2*c^2*d^8*e^4 + 3*a^3*c*d^4*e^8 + a^4*e^12) + 1/4*(4*a*c*d^4*e^3 - 4*a^2*e^7 + (3*c^2*d^4*e^3 - 5*a*c*e^7)*x^4 + (c^2*d^5*e^2 + a*c*d*e^6)*x^3 - (c^2*d^6*e + a*c*d^2*e^5)*x^2 + (c^2*d^7 + a*c*d^3*e^4)*x)/(a^2*c^2*d^9 + 2*a^3*c*d^5*e^4 + a^4*d*e^8 + (a*c^3*d^8*e + 2*a^2*c^2*d^4*e^5 + a^3*c*e^9)*x^5 + (a*c^3*d^9 + 2*a^2*c^2*d^5*e^4 + a^3*c*d*e^8)*x^4 + (a^2*c^2*d^8*e + 2*a^3*c*d^4*e^5 + a^4*e^9)*x)","A",0
407,1,1394,0,2.601960," ","integrate(1/(e*x+d)^3/(c*x^4+a)^2,x, algorithm=""maxima"")","-\frac{3 \, c {\left(\frac{\sqrt{2} {\left(48 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{9}{4}} d^{6} e^{7} - 16 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{5}{4}} d^{2} e^{11} - c^{4} d^{13} + 2 \, \sqrt{a} c^{\frac{7}{2}} d^{11} e^{2} - 9 \, a c^{3} d^{9} e^{4} + 36 \, a^{\frac{3}{2}} c^{\frac{5}{2}} d^{7} e^{6} + 49 \, a^{2} c^{2} d^{5} e^{8} - 30 \, a^{\frac{5}{2}} c^{\frac{3}{2}} d^{3} e^{10} - 7 \, a^{3} c d e^{12}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} + \frac{\sqrt{2} {\left(48 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{9}{4}} d^{6} e^{7} - 16 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{5}{4}} d^{2} e^{11} + c^{4} d^{13} - 2 \, \sqrt{a} c^{\frac{7}{2}} d^{11} e^{2} + 9 \, a c^{3} d^{9} e^{4} - 36 \, a^{\frac{3}{2}} c^{\frac{5}{2}} d^{7} e^{6} - 49 \, a^{2} c^{2} d^{5} e^{8} + 30 \, a^{\frac{5}{2}} c^{\frac{3}{2}} d^{3} e^{10} + 7 \, a^{3} c d e^{12}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} - \frac{2 \, {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{17}{4}} d^{13} + 2 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{15}{4}} d^{11} e^{2} + 9 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{13}{4}} d^{9} e^{4} + 36 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{11}{4}} d^{7} e^{6} - 49 \, \sqrt{2} a^{\frac{9}{4}} c^{\frac{9}{4}} d^{5} e^{8} - 30 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{7}{4}} d^{3} e^{10} + 7 \, \sqrt{2} a^{\frac{13}{4}} c^{\frac{5}{4}} d e^{12} + 4 \, \sqrt{a} c^{4} d^{12} e + 44 \, a^{\frac{3}{2}} c^{3} d^{8} e^{5} - 84 \, a^{\frac{5}{2}} c^{2} d^{4} e^{9} + 4 \, a^{\frac{7}{2}} c e^{13}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}} - \frac{2 \, {\left(\sqrt{2} a^{\frac{1}{4}} c^{\frac{17}{4}} d^{13} + 2 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{15}{4}} d^{11} e^{2} + 9 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{13}{4}} d^{9} e^{4} + 36 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{11}{4}} d^{7} e^{6} - 49 \, \sqrt{2} a^{\frac{9}{4}} c^{\frac{9}{4}} d^{5} e^{8} - 30 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{7}{4}} d^{3} e^{10} + 7 \, \sqrt{2} a^{\frac{13}{4}} c^{\frac{5}{4}} d e^{12} - 4 \, \sqrt{a} c^{4} d^{12} e - 44 \, a^{\frac{3}{2}} c^{3} d^{8} e^{5} + 84 \, a^{\frac{5}{2}} c^{2} d^{4} e^{9} - 4 \, a^{\frac{7}{2}} c e^{13}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}}\right)}}{32 \, {\left(a c^{4} d^{16} + 4 \, a^{2} c^{3} d^{12} e^{4} + 6 \, a^{3} c^{2} d^{8} e^{8} + 4 \, a^{4} c d^{4} e^{12} + a^{5} e^{16}\right)}} + \frac{12 \, {\left(3 \, c^{2} d^{6} e^{7} - a c d^{2} e^{11}\right)} \log\left(e x + d\right)}{c^{4} d^{16} + 4 \, a c^{3} d^{12} e^{4} + 6 \, a^{2} c^{2} d^{8} e^{8} + 4 \, a^{3} c d^{4} e^{12} + a^{4} e^{16}} + \frac{10 \, a c^{2} d^{8} e^{3} - 40 \, a^{2} c d^{4} e^{7} - 2 \, a^{3} e^{11} + 6 \, {\left(c^{3} d^{7} e^{4} - 7 \, a c^{2} d^{3} e^{8}\right)} x^{5} + 3 \, {\left(3 \, c^{3} d^{8} e^{3} - 14 \, a c^{2} d^{4} e^{7} - a^{2} c e^{11}\right)} x^{4} + {\left(c^{3} d^{9} e^{2} + 2 \, a c^{2} d^{5} e^{6} + a^{2} c d e^{10}\right)} x^{3} - {\left(c^{3} d^{10} e + 2 \, a c^{2} d^{6} e^{5} + a^{2} c d^{2} e^{9}\right)} x^{2} + {\left(c^{3} d^{11} + 8 \, a c^{2} d^{7} e^{4} - 41 \, a^{2} c d^{3} e^{8}\right)} x}{4 \, {\left(a^{2} c^{3} d^{14} + 3 \, a^{3} c^{2} d^{10} e^{4} + 3 \, a^{4} c d^{6} e^{8} + a^{5} d^{2} e^{12} + {\left(a c^{4} d^{12} e^{2} + 3 \, a^{2} c^{3} d^{8} e^{6} + 3 \, a^{3} c^{2} d^{4} e^{10} + a^{4} c e^{14}\right)} x^{6} + 2 \, {\left(a c^{4} d^{13} e + 3 \, a^{2} c^{3} d^{9} e^{5} + 3 \, a^{3} c^{2} d^{5} e^{9} + a^{4} c d e^{13}\right)} x^{5} + {\left(a c^{4} d^{14} + 3 \, a^{2} c^{3} d^{10} e^{4} + 3 \, a^{3} c^{2} d^{6} e^{8} + a^{4} c d^{2} e^{12}\right)} x^{4} + {\left(a^{2} c^{3} d^{12} e^{2} + 3 \, a^{3} c^{2} d^{8} e^{6} + 3 \, a^{4} c d^{4} e^{10} + a^{5} e^{14}\right)} x^{2} + 2 \, {\left(a^{2} c^{3} d^{13} e + 3 \, a^{3} c^{2} d^{9} e^{5} + 3 \, a^{4} c d^{5} e^{9} + a^{5} d e^{13}\right)} x\right)}}"," ",0,"-3/32*c*(sqrt(2)*(48*sqrt(2)*a^(7/4)*c^(9/4)*d^6*e^7 - 16*sqrt(2)*a^(11/4)*c^(5/4)*d^2*e^11 - c^4*d^13 + 2*sqrt(a)*c^(7/2)*d^11*e^2 - 9*a*c^3*d^9*e^4 + 36*a^(3/2)*c^(5/2)*d^7*e^6 + 49*a^2*c^2*d^5*e^8 - 30*a^(5/2)*c^(3/2)*d^3*e^10 - 7*a^3*c*d*e^12)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) + sqrt(2)*(48*sqrt(2)*a^(7/4)*c^(9/4)*d^6*e^7 - 16*sqrt(2)*a^(11/4)*c^(5/4)*d^2*e^11 + c^4*d^13 - 2*sqrt(a)*c^(7/2)*d^11*e^2 + 9*a*c^3*d^9*e^4 - 36*a^(3/2)*c^(5/2)*d^7*e^6 - 49*a^2*c^2*d^5*e^8 + 30*a^(5/2)*c^(3/2)*d^3*e^10 + 7*a^3*c*d*e^12)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) - 2*(sqrt(2)*a^(1/4)*c^(17/4)*d^13 + 2*sqrt(2)*a^(3/4)*c^(15/4)*d^11*e^2 + 9*sqrt(2)*a^(5/4)*c^(13/4)*d^9*e^4 + 36*sqrt(2)*a^(7/4)*c^(11/4)*d^7*e^6 - 49*sqrt(2)*a^(9/4)*c^(9/4)*d^5*e^8 - 30*sqrt(2)*a^(11/4)*c^(7/4)*d^3*e^10 + 7*sqrt(2)*a^(13/4)*c^(5/4)*d*e^12 + 4*sqrt(a)*c^4*d^12*e + 44*a^(3/2)*c^3*d^8*e^5 - 84*a^(5/2)*c^2*d^4*e^9 + 4*a^(7/2)*c*e^13)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)) - 2*(sqrt(2)*a^(1/4)*c^(17/4)*d^13 + 2*sqrt(2)*a^(3/4)*c^(15/4)*d^11*e^2 + 9*sqrt(2)*a^(5/4)*c^(13/4)*d^9*e^4 + 36*sqrt(2)*a^(7/4)*c^(11/4)*d^7*e^6 - 49*sqrt(2)*a^(9/4)*c^(9/4)*d^5*e^8 - 30*sqrt(2)*a^(11/4)*c^(7/4)*d^3*e^10 + 7*sqrt(2)*a^(13/4)*c^(5/4)*d*e^12 - 4*sqrt(a)*c^4*d^12*e - 44*a^(3/2)*c^3*d^8*e^5 + 84*a^(5/2)*c^2*d^4*e^9 - 4*a^(7/2)*c*e^13)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)))/(a*c^4*d^16 + 4*a^2*c^3*d^12*e^4 + 6*a^3*c^2*d^8*e^8 + 4*a^4*c*d^4*e^12 + a^5*e^16) + 12*(3*c^2*d^6*e^7 - a*c*d^2*e^11)*log(e*x + d)/(c^4*d^16 + 4*a*c^3*d^12*e^4 + 6*a^2*c^2*d^8*e^8 + 4*a^3*c*d^4*e^12 + a^4*e^16) + 1/4*(10*a*c^2*d^8*e^3 - 40*a^2*c*d^4*e^7 - 2*a^3*e^11 + 6*(c^3*d^7*e^4 - 7*a*c^2*d^3*e^8)*x^5 + 3*(3*c^3*d^8*e^3 - 14*a*c^2*d^4*e^7 - a^2*c*e^11)*x^4 + (c^3*d^9*e^2 + 2*a*c^2*d^5*e^6 + a^2*c*d*e^10)*x^3 - (c^3*d^10*e + 2*a*c^2*d^6*e^5 + a^2*c*d^2*e^9)*x^2 + (c^3*d^11 + 8*a*c^2*d^7*e^4 - 41*a^2*c*d^3*e^8)*x)/(a^2*c^3*d^14 + 3*a^3*c^2*d^10*e^4 + 3*a^4*c*d^6*e^8 + a^5*d^2*e^12 + (a*c^4*d^12*e^2 + 3*a^2*c^3*d^8*e^6 + 3*a^3*c^2*d^4*e^10 + a^4*c*e^14)*x^6 + 2*(a*c^4*d^13*e + 3*a^2*c^3*d^9*e^5 + 3*a^3*c^2*d^5*e^9 + a^4*c*d*e^13)*x^5 + (a*c^4*d^14 + 3*a^2*c^3*d^10*e^4 + 3*a^3*c^2*d^6*e^8 + a^4*c*d^2*e^12)*x^4 + (a^2*c^3*d^12*e^2 + 3*a^3*c^2*d^8*e^6 + 3*a^4*c*d^4*e^10 + a^5*e^14)*x^2 + 2*(a^2*c^3*d^13*e + 3*a^3*c^2*d^9*e^5 + 3*a^4*c*d^5*e^9 + a^5*d*e^13)*x)","A",0
408,1,392,0,2.373325," ","integrate((e*x+d)^3/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{15 \, c^{2} d e^{2} x^{7} + 18 \, c^{2} d^{2} e x^{6} + 7 \, c^{2} d^{3} x^{5} + 27 \, a c d e^{2} x^{3} + 30 \, a c d^{2} e x^{2} + 11 \, a c d^{3} x - 4 \, a^{2} e^{3}}{32 \, {\left(a^{2} c^{3} x^{8} + 2 \, a^{3} c^{2} x^{4} + a^{4} c\right)}} + \frac{3 \, d {\left(\frac{\sqrt{2} {\left(7 \, \sqrt{c} d^{2} - 5 \, \sqrt{a} e^{2}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(7 \, \sqrt{c} d^{2} - 5 \, \sqrt{a} e^{2}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{2 \, {\left(7 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{3}{4}} d^{2} + 5 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{2} - 24 \, \sqrt{a} \sqrt{c} d e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{3}{4}}} + \frac{2 \, {\left(7 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{3}{4}} d^{2} + 5 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{2} + 24 \, \sqrt{a} \sqrt{c} d e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{3}{4}}}\right)}}{256 \, a^{2}}"," ",0,"1/32*(15*c^2*d*e^2*x^7 + 18*c^2*d^2*e*x^6 + 7*c^2*d^3*x^5 + 27*a*c*d*e^2*x^3 + 30*a*c*d^2*e*x^2 + 11*a*c*d^3*x - 4*a^2*e^3)/(a^2*c^3*x^8 + 2*a^3*c^2*x^4 + a^4*c) + 3/256*d*(sqrt(2)*(7*sqrt(c)*d^2 - 5*sqrt(a)*e^2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(7*sqrt(c)*d^2 - 5*sqrt(a)*e^2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + 2*(7*sqrt(2)*a^(1/4)*c^(3/4)*d^2 + 5*sqrt(2)*a^(3/4)*c^(1/4)*e^2 - 24*sqrt(a)*sqrt(c)*d*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(3/4)) + 2*(7*sqrt(2)*a^(1/4)*c^(3/4)*d^2 + 5*sqrt(2)*a^(3/4)*c^(1/4)*e^2 + 24*sqrt(a)*sqrt(c)*d*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(3/4)))/a^2","A",0
409,1,364,0,2.181435," ","integrate((e*x+d)^2/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{5 \, c e^{2} x^{7} + 12 \, c d e x^{6} + 7 \, c d^{2} x^{5} + 9 \, a e^{2} x^{3} + 20 \, a d e x^{2} + 11 \, a d^{2} x}{32 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)}} + \frac{\frac{\sqrt{2} {\left(21 \, \sqrt{c} d^{2} - 5 \, \sqrt{a} e^{2}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} - \frac{\sqrt{2} {\left(21 \, \sqrt{c} d^{2} - 5 \, \sqrt{a} e^{2}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{3}{4}}} + \frac{2 \, {\left(21 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{3}{4}} d^{2} + 5 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{2} - 48 \, \sqrt{a} \sqrt{c} d e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{3}{4}}} + \frac{2 \, {\left(21 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{3}{4}} d^{2} + 5 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{1}{4}} e^{2} + 48 \, \sqrt{a} \sqrt{c} d e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{3}{4}}}}{256 \, a^{2}}"," ",0,"1/32*(5*c*e^2*x^7 + 12*c*d*e*x^6 + 7*c*d^2*x^5 + 9*a*e^2*x^3 + 20*a*d*e*x^2 + 11*a*d^2*x)/(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4) + 1/256*(sqrt(2)*(21*sqrt(c)*d^2 - 5*sqrt(a)*e^2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) - sqrt(2)*(21*sqrt(c)*d^2 - 5*sqrt(a)*e^2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(3/4)) + 2*(21*sqrt(2)*a^(1/4)*c^(3/4)*d^2 + 5*sqrt(2)*a^(3/4)*c^(1/4)*e^2 - 48*sqrt(a)*sqrt(c)*d*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(3/4)) + 2*(21*sqrt(2)*a^(1/4)*c^(3/4)*d^2 + 5*sqrt(2)*a^(3/4)*c^(1/4)*e^2 + 48*sqrt(a)*sqrt(c)*d*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(3/4)))/a^2","A",0
410,1,269,0,2.204398," ","integrate((e*x+d)/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{6 \, c e x^{6} + 7 \, c d x^{5} + 10 \, a e x^{2} + 11 \, a d x}{32 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)}} + \frac{3 \, {\left(\frac{7 \, \sqrt{2} d \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{7 \, \sqrt{2} d \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}} + \frac{2 \, {\left(7 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} d - 8 \, \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{1}{4}}} + \frac{2 \, {\left(7 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} d + 8 \, \sqrt{a} e\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{1}{4}}}\right)}}{256 \, a^{2}}"," ",0,"1/32*(6*c*e*x^6 + 7*c*d*x^5 + 10*a*e*x^2 + 11*a*d*x)/(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4) + 3/256*(7*sqrt(2)*d*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - 7*sqrt(2)*d*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) + 2*(7*sqrt(2)*a^(1/4)*c^(1/4)*d - 8*sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(1/4)) + 2*(7*sqrt(2)*a^(1/4)*c^(1/4)*d + 8*sqrt(a)*e)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(1/4)))/a^2","A",0
411,1,212,0,2.703867," ","integrate(1/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{7 \, c x^{5} + 11 \, a x}{32 \, {\left(a^{2} c^{2} x^{8} + 2 \, a^{3} c x^{4} + a^{4}\right)}} + \frac{21 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{\sqrt{a} \sqrt{\sqrt{a} \sqrt{c}}} + \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{1}{4}}}\right)}}{256 \, a^{2}}"," ",0,"1/32*(7*c*x^5 + 11*a*x)/(a^2*c^2*x^8 + 2*a^3*c*x^4 + a^4) + 21/256*(2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + 2*sqrt(2)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(sqrt(a)*sqrt(sqrt(a)*sqrt(c))) + sqrt(2)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)) - sqrt(2)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(1/4)))/a^2","A",0
412,1,1015,0,2.407972," ","integrate(1/(e*x+d)/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{e^{11} \log\left(e x + d\right)}{c^{3} d^{12} + 3 \, a c^{2} d^{8} e^{4} + 3 \, a^{2} c d^{4} e^{8} + a^{3} e^{12}} - \frac{c {\left(\frac{\sqrt{2} {\left(32 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{1}{4}} e^{11} - 21 \, c^{3} d^{11} + 5 \, \sqrt{a} c^{\frac{5}{2}} d^{9} e^{2} - 66 \, a c^{2} d^{7} e^{4} + 18 \, a^{\frac{3}{2}} c^{\frac{3}{2}} d^{5} e^{6} - 77 \, a^{2} c d^{3} e^{8} + 45 \, a^{\frac{5}{2}} \sqrt{c} d e^{10}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} + \frac{\sqrt{2} {\left(32 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{1}{4}} e^{11} + 21 \, c^{3} d^{11} - 5 \, \sqrt{a} c^{\frac{5}{2}} d^{9} e^{2} + 66 \, a c^{2} d^{7} e^{4} - 18 \, a^{\frac{3}{2}} c^{\frac{3}{2}} d^{5} e^{6} + 77 \, a^{2} c d^{3} e^{8} - 45 \, a^{\frac{5}{2}} \sqrt{c} d e^{10}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} - \frac{2 \, {\left(21 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{13}{4}} d^{11} + 5 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{11}{4}} d^{9} e^{2} + 66 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{9}{4}} d^{7} e^{4} + 18 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{7}{4}} d^{5} e^{6} + 77 \, \sqrt{2} a^{\frac{9}{4}} c^{\frac{5}{4}} d^{3} e^{8} + 45 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{3}{4}} d e^{10} + 24 \, \sqrt{a} c^{3} d^{10} e + 80 \, a^{\frac{3}{2}} c^{2} d^{6} e^{5} + 120 \, a^{\frac{5}{2}} c d^{2} e^{9}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}} - \frac{2 \, {\left(21 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{13}{4}} d^{11} + 5 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{11}{4}} d^{9} e^{2} + 66 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{9}{4}} d^{7} e^{4} + 18 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{7}{4}} d^{5} e^{6} + 77 \, \sqrt{2} a^{\frac{9}{4}} c^{\frac{5}{4}} d^{3} e^{8} + 45 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{3}{4}} d e^{10} - 24 \, \sqrt{a} c^{3} d^{10} e - 80 \, a^{\frac{3}{2}} c^{2} d^{6} e^{5} - 120 \, a^{\frac{5}{2}} c d^{2} e^{9}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}}\right)}}{256 \, {\left(a^{2} c^{3} d^{12} + 3 \, a^{3} c^{2} d^{8} e^{4} + 3 \, a^{4} c d^{4} e^{8} + a^{5} e^{12}\right)}} + \frac{8 \, a^{2} c e^{7} x^{4} + 4 \, a^{2} c d^{4} e^{3} + 12 \, a^{3} e^{7} + {\left(5 \, c^{3} d^{5} e^{2} + 13 \, a c^{2} d e^{6}\right)} x^{7} - 2 \, {\left(3 \, c^{3} d^{6} e + 7 \, a c^{2} d^{2} e^{5}\right)} x^{6} + {\left(7 \, c^{3} d^{7} + 15 \, a c^{2} d^{3} e^{4}\right)} x^{5} + {\left(9 \, a c^{2} d^{5} e^{2} + 17 \, a^{2} c d e^{6}\right)} x^{3} - 2 \, {\left(5 \, a c^{2} d^{6} e + 9 \, a^{2} c d^{2} e^{5}\right)} x^{2} + {\left(11 \, a c^{2} d^{7} + 19 \, a^{2} c d^{3} e^{4}\right)} x}{32 \, {\left(a^{4} c^{2} d^{8} + 2 \, a^{5} c d^{4} e^{4} + a^{6} e^{8} + {\left(a^{2} c^{4} d^{8} + 2 \, a^{3} c^{3} d^{4} e^{4} + a^{4} c^{2} e^{8}\right)} x^{8} + 2 \, {\left(a^{3} c^{3} d^{8} + 2 \, a^{4} c^{2} d^{4} e^{4} + a^{5} c e^{8}\right)} x^{4}\right)}}"," ",0,"e^11*log(e*x + d)/(c^3*d^12 + 3*a*c^2*d^8*e^4 + 3*a^2*c*d^4*e^8 + a^3*e^12) - 1/256*c*(sqrt(2)*(32*sqrt(2)*a^(11/4)*c^(1/4)*e^11 - 21*c^3*d^11 + 5*sqrt(a)*c^(5/2)*d^9*e^2 - 66*a*c^2*d^7*e^4 + 18*a^(3/2)*c^(3/2)*d^5*e^6 - 77*a^2*c*d^3*e^8 + 45*a^(5/2)*sqrt(c)*d*e^10)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) + sqrt(2)*(32*sqrt(2)*a^(11/4)*c^(1/4)*e^11 + 21*c^3*d^11 - 5*sqrt(a)*c^(5/2)*d^9*e^2 + 66*a*c^2*d^7*e^4 - 18*a^(3/2)*c^(3/2)*d^5*e^6 + 77*a^2*c*d^3*e^8 - 45*a^(5/2)*sqrt(c)*d*e^10)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) - 2*(21*sqrt(2)*a^(1/4)*c^(13/4)*d^11 + 5*sqrt(2)*a^(3/4)*c^(11/4)*d^9*e^2 + 66*sqrt(2)*a^(5/4)*c^(9/4)*d^7*e^4 + 18*sqrt(2)*a^(7/4)*c^(7/4)*d^5*e^6 + 77*sqrt(2)*a^(9/4)*c^(5/4)*d^3*e^8 + 45*sqrt(2)*a^(11/4)*c^(3/4)*d*e^10 + 24*sqrt(a)*c^3*d^10*e + 80*a^(3/2)*c^2*d^6*e^5 + 120*a^(5/2)*c*d^2*e^9)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)) - 2*(21*sqrt(2)*a^(1/4)*c^(13/4)*d^11 + 5*sqrt(2)*a^(3/4)*c^(11/4)*d^9*e^2 + 66*sqrt(2)*a^(5/4)*c^(9/4)*d^7*e^4 + 18*sqrt(2)*a^(7/4)*c^(7/4)*d^5*e^6 + 77*sqrt(2)*a^(9/4)*c^(5/4)*d^3*e^8 + 45*sqrt(2)*a^(11/4)*c^(3/4)*d*e^10 - 24*sqrt(a)*c^3*d^10*e - 80*a^(3/2)*c^2*d^6*e^5 - 120*a^(5/2)*c*d^2*e^9)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)))/(a^2*c^3*d^12 + 3*a^3*c^2*d^8*e^4 + 3*a^4*c*d^4*e^8 + a^5*e^12) + 1/32*(8*a^2*c*e^7*x^4 + 4*a^2*c*d^4*e^3 + 12*a^3*e^7 + (5*c^3*d^5*e^2 + 13*a*c^2*d*e^6)*x^7 - 2*(3*c^3*d^6*e + 7*a*c^2*d^2*e^5)*x^6 + (7*c^3*d^7 + 15*a*c^2*d^3*e^4)*x^5 + (9*a*c^2*d^5*e^2 + 17*a^2*c*d*e^6)*x^3 - 2*(5*a*c^2*d^6*e + 9*a^2*c*d^2*e^5)*x^2 + (11*a*c^2*d^7 + 19*a^2*c*d^3*e^4)*x)/(a^4*c^2*d^8 + 2*a^5*c*d^4*e^4 + a^6*e^8 + (a^2*c^4*d^8 + 2*a^3*c^3*d^4*e^4 + a^4*c^2*e^8)*x^8 + 2*(a^3*c^3*d^8 + 2*a^4*c^2*d^4*e^4 + a^5*c*e^8)*x^4)","A",0
413,1,1564,0,3.097183," ","integrate(1/(e*x+d)^2/(c*x^4+a)^3,x, algorithm=""maxima"")","\frac{12 \, c d^{3} e^{11} \log\left(e x + d\right)}{c^{4} d^{16} + 4 \, a c^{3} d^{12} e^{4} + 6 \, a^{2} c^{2} d^{8} e^{8} + 4 \, a^{3} c d^{4} e^{12} + a^{4} e^{16}} - \frac{3 \, c {\left(\frac{\sqrt{2} {\left(128 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{5}{4}} d^{3} e^{11} - 7 \, c^{4} d^{14} + 5 \, \sqrt{a} c^{\frac{7}{2}} d^{12} e^{2} - 33 \, a c^{3} d^{10} e^{4} + 27 \, a^{\frac{3}{2}} c^{\frac{5}{2}} d^{8} e^{6} - 77 \, a^{2} c^{2} d^{6} e^{8} + 135 \, a^{\frac{5}{2}} c^{\frac{3}{2}} d^{4} e^{10} + 77 \, a^{3} c d^{2} e^{12} - 15 \, a^{\frac{7}{2}} \sqrt{c} e^{14}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} + \frac{\sqrt{2} {\left(128 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{5}{4}} d^{3} e^{11} + 7 \, c^{4} d^{14} - 5 \, \sqrt{a} c^{\frac{7}{2}} d^{12} e^{2} + 33 \, a c^{3} d^{10} e^{4} - 27 \, a^{\frac{3}{2}} c^{\frac{5}{2}} d^{8} e^{6} + 77 \, a^{2} c^{2} d^{6} e^{8} - 135 \, a^{\frac{5}{2}} c^{\frac{3}{2}} d^{4} e^{10} - 77 \, a^{3} c d^{2} e^{12} + 15 \, a^{\frac{7}{2}} \sqrt{c} e^{14}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} - \frac{2 \, {\left(7 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{17}{4}} d^{14} + 5 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{15}{4}} d^{12} e^{2} + 33 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{13}{4}} d^{10} e^{4} + 27 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{11}{4}} d^{8} e^{6} + 77 \, \sqrt{2} a^{\frac{9}{4}} c^{\frac{9}{4}} d^{6} e^{8} + 135 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{7}{4}} d^{4} e^{10} - 77 \, \sqrt{2} a^{\frac{13}{4}} c^{\frac{5}{4}} d^{2} e^{12} - 15 \, \sqrt{2} a^{\frac{15}{4}} c^{\frac{3}{4}} e^{14} + 16 \, \sqrt{a} c^{4} d^{13} e + 80 \, a^{\frac{3}{2}} c^{3} d^{9} e^{5} + 240 \, a^{\frac{5}{2}} c^{2} d^{5} e^{9} - 80 \, a^{\frac{7}{2}} c d e^{13}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}} - \frac{2 \, {\left(7 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{17}{4}} d^{14} + 5 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{15}{4}} d^{12} e^{2} + 33 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{13}{4}} d^{10} e^{4} + 27 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{11}{4}} d^{8} e^{6} + 77 \, \sqrt{2} a^{\frac{9}{4}} c^{\frac{9}{4}} d^{6} e^{8} + 135 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{7}{4}} d^{4} e^{10} - 77 \, \sqrt{2} a^{\frac{13}{4}} c^{\frac{5}{4}} d^{2} e^{12} - 15 \, \sqrt{2} a^{\frac{15}{4}} c^{\frac{3}{4}} e^{14} - 16 \, \sqrt{a} c^{4} d^{13} e - 80 \, a^{\frac{3}{2}} c^{3} d^{9} e^{5} - 240 \, a^{\frac{5}{2}} c^{2} d^{5} e^{9} + 80 \, a^{\frac{7}{2}} c d e^{13}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}}\right)}}{256 \, {\left(a^{2} c^{4} d^{16} + 4 \, a^{3} c^{3} d^{12} e^{4} + 6 \, a^{4} c^{2} d^{8} e^{8} + 4 \, a^{5} c d^{4} e^{12} + a^{6} e^{16}\right)}} + \frac{16 \, a^{2} c^{2} d^{8} e^{3} + 80 \, a^{3} c d^{4} e^{7} - 32 \, a^{4} e^{11} + 3 \, {\left(5 \, c^{4} d^{8} e^{3} + 22 \, a c^{3} d^{4} e^{7} - 15 \, a^{2} c^{2} e^{11}\right)} x^{8} + 3 \, {\left(c^{4} d^{9} e^{2} + 6 \, a c^{3} d^{5} e^{6} + 5 \, a^{2} c^{2} d e^{10}\right)} x^{7} - {\left(5 \, c^{4} d^{10} e + 22 \, a c^{3} d^{6} e^{5} + 17 \, a^{2} c^{2} d^{2} e^{9}\right)} x^{6} + {\left(7 \, c^{4} d^{11} + 26 \, a c^{3} d^{7} e^{4} + 19 \, a^{2} c^{2} d^{3} e^{8}\right)} x^{5} + 3 \, {\left(9 \, a c^{3} d^{8} e^{3} + 46 \, a^{2} c^{2} d^{4} e^{7} - 27 \, a^{3} c e^{11}\right)} x^{4} + {\left(7 \, a c^{3} d^{9} e^{2} + 26 \, a^{2} c^{2} d^{5} e^{6} + 19 \, a^{3} c d e^{10}\right)} x^{3} - 3 \, {\left(3 \, a c^{3} d^{10} e + 10 \, a^{2} c^{2} d^{6} e^{5} + 7 \, a^{3} c d^{2} e^{9}\right)} x^{2} + {\left(11 \, a c^{3} d^{11} + 34 \, a^{2} c^{2} d^{7} e^{4} + 23 \, a^{3} c d^{3} e^{8}\right)} x}{32 \, {\left(a^{4} c^{3} d^{13} + 3 \, a^{5} c^{2} d^{9} e^{4} + 3 \, a^{6} c d^{5} e^{8} + a^{7} d e^{12} + {\left(a^{2} c^{5} d^{12} e + 3 \, a^{3} c^{4} d^{8} e^{5} + 3 \, a^{4} c^{3} d^{4} e^{9} + a^{5} c^{2} e^{13}\right)} x^{9} + {\left(a^{2} c^{5} d^{13} + 3 \, a^{3} c^{4} d^{9} e^{4} + 3 \, a^{4} c^{3} d^{5} e^{8} + a^{5} c^{2} d e^{12}\right)} x^{8} + 2 \, {\left(a^{3} c^{4} d^{12} e + 3 \, a^{4} c^{3} d^{8} e^{5} + 3 \, a^{5} c^{2} d^{4} e^{9} + a^{6} c e^{13}\right)} x^{5} + 2 \, {\left(a^{3} c^{4} d^{13} + 3 \, a^{4} c^{3} d^{9} e^{4} + 3 \, a^{5} c^{2} d^{5} e^{8} + a^{6} c d e^{12}\right)} x^{4} + {\left(a^{4} c^{3} d^{12} e + 3 \, a^{5} c^{2} d^{8} e^{5} + 3 \, a^{6} c d^{4} e^{9} + a^{7} e^{13}\right)} x\right)}}"," ",0,"12*c*d^3*e^11*log(e*x + d)/(c^4*d^16 + 4*a*c^3*d^12*e^4 + 6*a^2*c^2*d^8*e^8 + 4*a^3*c*d^4*e^12 + a^4*e^16) - 3/256*c*(sqrt(2)*(128*sqrt(2)*a^(11/4)*c^(5/4)*d^3*e^11 - 7*c^4*d^14 + 5*sqrt(a)*c^(7/2)*d^12*e^2 - 33*a*c^3*d^10*e^4 + 27*a^(3/2)*c^(5/2)*d^8*e^6 - 77*a^2*c^2*d^6*e^8 + 135*a^(5/2)*c^(3/2)*d^4*e^10 + 77*a^3*c*d^2*e^12 - 15*a^(7/2)*sqrt(c)*e^14)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) + sqrt(2)*(128*sqrt(2)*a^(11/4)*c^(5/4)*d^3*e^11 + 7*c^4*d^14 - 5*sqrt(a)*c^(7/2)*d^12*e^2 + 33*a*c^3*d^10*e^4 - 27*a^(3/2)*c^(5/2)*d^8*e^6 + 77*a^2*c^2*d^6*e^8 - 135*a^(5/2)*c^(3/2)*d^4*e^10 - 77*a^3*c*d^2*e^12 + 15*a^(7/2)*sqrt(c)*e^14)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) - 2*(7*sqrt(2)*a^(1/4)*c^(17/4)*d^14 + 5*sqrt(2)*a^(3/4)*c^(15/4)*d^12*e^2 + 33*sqrt(2)*a^(5/4)*c^(13/4)*d^10*e^4 + 27*sqrt(2)*a^(7/4)*c^(11/4)*d^8*e^6 + 77*sqrt(2)*a^(9/4)*c^(9/4)*d^6*e^8 + 135*sqrt(2)*a^(11/4)*c^(7/4)*d^4*e^10 - 77*sqrt(2)*a^(13/4)*c^(5/4)*d^2*e^12 - 15*sqrt(2)*a^(15/4)*c^(3/4)*e^14 + 16*sqrt(a)*c^4*d^13*e + 80*a^(3/2)*c^3*d^9*e^5 + 240*a^(5/2)*c^2*d^5*e^9 - 80*a^(7/2)*c*d*e^13)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)) - 2*(7*sqrt(2)*a^(1/4)*c^(17/4)*d^14 + 5*sqrt(2)*a^(3/4)*c^(15/4)*d^12*e^2 + 33*sqrt(2)*a^(5/4)*c^(13/4)*d^10*e^4 + 27*sqrt(2)*a^(7/4)*c^(11/4)*d^8*e^6 + 77*sqrt(2)*a^(9/4)*c^(9/4)*d^6*e^8 + 135*sqrt(2)*a^(11/4)*c^(7/4)*d^4*e^10 - 77*sqrt(2)*a^(13/4)*c^(5/4)*d^2*e^12 - 15*sqrt(2)*a^(15/4)*c^(3/4)*e^14 - 16*sqrt(a)*c^4*d^13*e - 80*a^(3/2)*c^3*d^9*e^5 - 240*a^(5/2)*c^2*d^5*e^9 + 80*a^(7/2)*c*d*e^13)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)))/(a^2*c^4*d^16 + 4*a^3*c^3*d^12*e^4 + 6*a^4*c^2*d^8*e^8 + 4*a^5*c*d^4*e^12 + a^6*e^16) + 1/32*(16*a^2*c^2*d^8*e^3 + 80*a^3*c*d^4*e^7 - 32*a^4*e^11 + 3*(5*c^4*d^8*e^3 + 22*a*c^3*d^4*e^7 - 15*a^2*c^2*e^11)*x^8 + 3*(c^4*d^9*e^2 + 6*a*c^3*d^5*e^6 + 5*a^2*c^2*d*e^10)*x^7 - (5*c^4*d^10*e + 22*a*c^3*d^6*e^5 + 17*a^2*c^2*d^2*e^9)*x^6 + (7*c^4*d^11 + 26*a*c^3*d^7*e^4 + 19*a^2*c^2*d^3*e^8)*x^5 + 3*(9*a*c^3*d^8*e^3 + 46*a^2*c^2*d^4*e^7 - 27*a^3*c*e^11)*x^4 + (7*a*c^3*d^9*e^2 + 26*a^2*c^2*d^5*e^6 + 19*a^3*c*d*e^10)*x^3 - 3*(3*a*c^3*d^10*e + 10*a^2*c^2*d^6*e^5 + 7*a^3*c*d^2*e^9)*x^2 + (11*a*c^3*d^11 + 34*a^2*c^2*d^7*e^4 + 23*a^3*c*d^3*e^8)*x)/(a^4*c^3*d^13 + 3*a^5*c^2*d^9*e^4 + 3*a^6*c*d^5*e^8 + a^7*d*e^12 + (a^2*c^5*d^12*e + 3*a^3*c^4*d^8*e^5 + 3*a^4*c^3*d^4*e^9 + a^5*c^2*e^13)*x^9 + (a^2*c^5*d^13 + 3*a^3*c^4*d^9*e^4 + 3*a^4*c^3*d^5*e^8 + a^5*c^2*d*e^12)*x^8 + 2*(a^3*c^4*d^12*e + 3*a^4*c^3*d^8*e^5 + 3*a^5*c^2*d^4*e^9 + a^6*c*e^13)*x^5 + 2*(a^3*c^4*d^13 + 3*a^4*c^3*d^9*e^4 + 3*a^5*c^2*d^5*e^8 + a^6*c*d*e^12)*x^4 + (a^4*c^3*d^12*e + 3*a^5*c^2*d^8*e^5 + 3*a^6*c*d^4*e^9 + a^7*e^13)*x)","A",0
414,1,2198,0,3.987989," ","integrate(1/(e*x+d)^3/(c*x^4+a)^3,x, algorithm=""maxima"")","-\frac{3 \, c {\left(\frac{\sqrt{2} {\left(832 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{9}{4}} d^{6} e^{11} - 192 \, \sqrt{2} a^{\frac{15}{4}} c^{\frac{5}{4}} d^{2} e^{15} - 7 \, c^{5} d^{17} + 10 \, \sqrt{a} c^{\frac{9}{2}} d^{15} e^{2} - 50 \, a c^{4} d^{13} e^{4} + 78 \, a^{\frac{3}{2}} c^{\frac{7}{2}} d^{11} e^{6} - 220 \, a^{2} c^{3} d^{9} e^{8} + 702 \, a^{\frac{5}{2}} c^{\frac{5}{2}} d^{7} e^{10} + 770 \, a^{3} c^{2} d^{5} e^{12} - 390 \, a^{\frac{7}{2}} c^{\frac{3}{2}} d^{3} e^{14} - 77 \, a^{4} c d e^{16}\right)} \log\left(\sqrt{c} x^{2} + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} + \frac{\sqrt{2} {\left(832 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{9}{4}} d^{6} e^{11} - 192 \, \sqrt{2} a^{\frac{15}{4}} c^{\frac{5}{4}} d^{2} e^{15} + 7 \, c^{5} d^{17} - 10 \, \sqrt{a} c^{\frac{9}{2}} d^{15} e^{2} + 50 \, a c^{4} d^{13} e^{4} - 78 \, a^{\frac{3}{2}} c^{\frac{7}{2}} d^{11} e^{6} + 220 \, a^{2} c^{3} d^{9} e^{8} - 702 \, a^{\frac{5}{2}} c^{\frac{5}{2}} d^{7} e^{10} - 770 \, a^{3} c^{2} d^{5} e^{12} + 390 \, a^{\frac{7}{2}} c^{\frac{3}{2}} d^{3} e^{14} + 77 \, a^{4} c d e^{16}\right)} \log\left(\sqrt{c} x^{2} - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}} x + \sqrt{a}\right)}{a^{\frac{3}{4}} c^{\frac{5}{4}}} - \frac{2 \, {\left(7 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{21}{4}} d^{17} + 10 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{19}{4}} d^{15} e^{2} + 50 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{17}{4}} d^{13} e^{4} + 78 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{15}{4}} d^{11} e^{6} + 220 \, \sqrt{2} a^{\frac{9}{4}} c^{\frac{13}{4}} d^{9} e^{8} + 702 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{11}{4}} d^{7} e^{10} - 770 \, \sqrt{2} a^{\frac{13}{4}} c^{\frac{9}{4}} d^{5} e^{12} - 390 \, \sqrt{2} a^{\frac{15}{4}} c^{\frac{7}{4}} d^{3} e^{14} + 77 \, \sqrt{2} a^{\frac{17}{4}} c^{\frac{5}{4}} d e^{16} + 24 \, \sqrt{a} c^{5} d^{16} e + 176 \, a^{\frac{3}{2}} c^{4} d^{12} e^{5} + 960 \, a^{\frac{5}{2}} c^{3} d^{8} e^{9} - 1200 \, a^{\frac{7}{2}} c^{2} d^{4} e^{13} + 40 \, a^{\frac{9}{2}} c e^{17}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x + \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}} - \frac{2 \, {\left(7 \, \sqrt{2} a^{\frac{1}{4}} c^{\frac{21}{4}} d^{17} + 10 \, \sqrt{2} a^{\frac{3}{4}} c^{\frac{19}{4}} d^{15} e^{2} + 50 \, \sqrt{2} a^{\frac{5}{4}} c^{\frac{17}{4}} d^{13} e^{4} + 78 \, \sqrt{2} a^{\frac{7}{4}} c^{\frac{15}{4}} d^{11} e^{6} + 220 \, \sqrt{2} a^{\frac{9}{4}} c^{\frac{13}{4}} d^{9} e^{8} + 702 \, \sqrt{2} a^{\frac{11}{4}} c^{\frac{11}{4}} d^{7} e^{10} - 770 \, \sqrt{2} a^{\frac{13}{4}} c^{\frac{9}{4}} d^{5} e^{12} - 390 \, \sqrt{2} a^{\frac{15}{4}} c^{\frac{7}{4}} d^{3} e^{14} + 77 \, \sqrt{2} a^{\frac{17}{4}} c^{\frac{5}{4}} d e^{16} - 24 \, \sqrt{a} c^{5} d^{16} e - 176 \, a^{\frac{3}{2}} c^{4} d^{12} e^{5} - 960 \, a^{\frac{5}{2}} c^{3} d^{8} e^{9} + 1200 \, a^{\frac{7}{2}} c^{2} d^{4} e^{13} - 40 \, a^{\frac{9}{2}} c e^{17}\right)} \arctan\left(\frac{\sqrt{2} {\left(2 \, \sqrt{c} x - \sqrt{2} a^{\frac{1}{4}} c^{\frac{1}{4}}\right)}}{2 \, \sqrt{\sqrt{a} \sqrt{c}}}\right)}{a^{\frac{3}{4}} \sqrt{\sqrt{a} \sqrt{c}} c^{\frac{5}{4}}}\right)}}{256 \, {\left(a^{2} c^{5} d^{20} + 5 \, a^{3} c^{4} d^{16} e^{4} + 10 \, a^{4} c^{3} d^{12} e^{8} + 10 \, a^{5} c^{2} d^{8} e^{12} + 5 \, a^{6} c d^{4} e^{16} + a^{7} e^{20}\right)}} + \frac{6 \, {\left(13 \, c^{2} d^{6} e^{11} - 3 \, a c d^{2} e^{15}\right)} \log\left(e x + d\right)}{c^{5} d^{20} + 5 \, a c^{4} d^{16} e^{4} + 10 \, a^{2} c^{3} d^{12} e^{8} + 10 \, a^{3} c^{2} d^{8} e^{12} + 5 \, a^{4} c d^{4} e^{16} + a^{5} e^{20}} + \frac{40 \, a^{2} c^{3} d^{12} e^{3} + 304 \, a^{3} c^{2} d^{8} e^{7} - 520 \, a^{4} c d^{4} e^{11} - 16 \, a^{5} e^{15} + 6 \, {\left(5 \, c^{5} d^{11} e^{4} + 34 \, a c^{4} d^{7} e^{8} - 99 \, a^{2} c^{3} d^{3} e^{12}\right)} x^{9} + 6 \, {\left(7 \, c^{5} d^{12} e^{3} + 49 \, a c^{4} d^{8} e^{7} - 91 \, a^{2} c^{3} d^{4} e^{11} - 5 \, a^{3} c^{2} e^{15}\right)} x^{8} + {\left(c^{5} d^{13} e^{2} + 19 \, a c^{4} d^{9} e^{6} + 35 \, a^{2} c^{3} d^{5} e^{10} + 17 \, a^{3} c^{2} d e^{14}\right)} x^{7} - 4 \, {\left(c^{5} d^{14} e + 7 \, a c^{4} d^{10} e^{5} + 11 \, a^{2} c^{3} d^{6} e^{9} + 5 \, a^{3} c^{2} d^{2} e^{13}\right)} x^{6} + {\left(7 \, c^{5} d^{15} + 97 \, a c^{4} d^{11} e^{4} + 461 \, a^{2} c^{3} d^{7} e^{8} - 1165 \, a^{3} c^{2} d^{3} e^{12}\right)} x^{5} + 2 \, {\left(39 \, a c^{4} d^{12} e^{3} + 293 \, a^{2} c^{3} d^{8} e^{7} - 539 \, a^{3} c^{2} d^{4} e^{11} - 25 \, a^{4} c e^{15}\right)} x^{4} + {\left(5 \, a c^{4} d^{13} e^{2} + 31 \, a^{2} c^{3} d^{9} e^{6} + 47 \, a^{3} c^{2} d^{5} e^{10} + 21 \, a^{4} c d e^{14}\right)} x^{3} - 8 \, {\left(a c^{4} d^{14} e + 5 \, a^{2} c^{3} d^{10} e^{5} + 7 \, a^{3} c^{2} d^{6} e^{9} + 3 \, a^{4} c d^{2} e^{13}\right)} x^{2} + {\left(11 \, a c^{4} d^{15} + 79 \, a^{2} c^{3} d^{11} e^{4} + 269 \, a^{3} c^{2} d^{7} e^{8} - 567 \, a^{4} c d^{3} e^{12}\right)} x}{32 \, {\left(a^{4} c^{4} d^{18} + 4 \, a^{5} c^{3} d^{14} e^{4} + 6 \, a^{6} c^{2} d^{10} e^{8} + 4 \, a^{7} c d^{6} e^{12} + a^{8} d^{2} e^{16} + {\left(a^{2} c^{6} d^{16} e^{2} + 4 \, a^{3} c^{5} d^{12} e^{6} + 6 \, a^{4} c^{4} d^{8} e^{10} + 4 \, a^{5} c^{3} d^{4} e^{14} + a^{6} c^{2} e^{18}\right)} x^{10} + 2 \, {\left(a^{2} c^{6} d^{17} e + 4 \, a^{3} c^{5} d^{13} e^{5} + 6 \, a^{4} c^{4} d^{9} e^{9} + 4 \, a^{5} c^{3} d^{5} e^{13} + a^{6} c^{2} d e^{17}\right)} x^{9} + {\left(a^{2} c^{6} d^{18} + 4 \, a^{3} c^{5} d^{14} e^{4} + 6 \, a^{4} c^{4} d^{10} e^{8} + 4 \, a^{5} c^{3} d^{6} e^{12} + a^{6} c^{2} d^{2} e^{16}\right)} x^{8} + 2 \, {\left(a^{3} c^{5} d^{16} e^{2} + 4 \, a^{4} c^{4} d^{12} e^{6} + 6 \, a^{5} c^{3} d^{8} e^{10} + 4 \, a^{6} c^{2} d^{4} e^{14} + a^{7} c e^{18}\right)} x^{6} + 4 \, {\left(a^{3} c^{5} d^{17} e + 4 \, a^{4} c^{4} d^{13} e^{5} + 6 \, a^{5} c^{3} d^{9} e^{9} + 4 \, a^{6} c^{2} d^{5} e^{13} + a^{7} c d e^{17}\right)} x^{5} + 2 \, {\left(a^{3} c^{5} d^{18} + 4 \, a^{4} c^{4} d^{14} e^{4} + 6 \, a^{5} c^{3} d^{10} e^{8} + 4 \, a^{6} c^{2} d^{6} e^{12} + a^{7} c d^{2} e^{16}\right)} x^{4} + {\left(a^{4} c^{4} d^{16} e^{2} + 4 \, a^{5} c^{3} d^{12} e^{6} + 6 \, a^{6} c^{2} d^{8} e^{10} + 4 \, a^{7} c d^{4} e^{14} + a^{8} e^{18}\right)} x^{2} + 2 \, {\left(a^{4} c^{4} d^{17} e + 4 \, a^{5} c^{3} d^{13} e^{5} + 6 \, a^{6} c^{2} d^{9} e^{9} + 4 \, a^{7} c d^{5} e^{13} + a^{8} d e^{17}\right)} x\right)}}"," ",0,"-3/256*c*(sqrt(2)*(832*sqrt(2)*a^(11/4)*c^(9/4)*d^6*e^11 - 192*sqrt(2)*a^(15/4)*c^(5/4)*d^2*e^15 - 7*c^5*d^17 + 10*sqrt(a)*c^(9/2)*d^15*e^2 - 50*a*c^4*d^13*e^4 + 78*a^(3/2)*c^(7/2)*d^11*e^6 - 220*a^2*c^3*d^9*e^8 + 702*a^(5/2)*c^(5/2)*d^7*e^10 + 770*a^3*c^2*d^5*e^12 - 390*a^(7/2)*c^(3/2)*d^3*e^14 - 77*a^4*c*d*e^16)*log(sqrt(c)*x^2 + sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) + sqrt(2)*(832*sqrt(2)*a^(11/4)*c^(9/4)*d^6*e^11 - 192*sqrt(2)*a^(15/4)*c^(5/4)*d^2*e^15 + 7*c^5*d^17 - 10*sqrt(a)*c^(9/2)*d^15*e^2 + 50*a*c^4*d^13*e^4 - 78*a^(3/2)*c^(7/2)*d^11*e^6 + 220*a^2*c^3*d^9*e^8 - 702*a^(5/2)*c^(5/2)*d^7*e^10 - 770*a^3*c^2*d^5*e^12 + 390*a^(7/2)*c^(3/2)*d^3*e^14 + 77*a^4*c*d*e^16)*log(sqrt(c)*x^2 - sqrt(2)*a^(1/4)*c^(1/4)*x + sqrt(a))/(a^(3/4)*c^(5/4)) - 2*(7*sqrt(2)*a^(1/4)*c^(21/4)*d^17 + 10*sqrt(2)*a^(3/4)*c^(19/4)*d^15*e^2 + 50*sqrt(2)*a^(5/4)*c^(17/4)*d^13*e^4 + 78*sqrt(2)*a^(7/4)*c^(15/4)*d^11*e^6 + 220*sqrt(2)*a^(9/4)*c^(13/4)*d^9*e^8 + 702*sqrt(2)*a^(11/4)*c^(11/4)*d^7*e^10 - 770*sqrt(2)*a^(13/4)*c^(9/4)*d^5*e^12 - 390*sqrt(2)*a^(15/4)*c^(7/4)*d^3*e^14 + 77*sqrt(2)*a^(17/4)*c^(5/4)*d*e^16 + 24*sqrt(a)*c^5*d^16*e + 176*a^(3/2)*c^4*d^12*e^5 + 960*a^(5/2)*c^3*d^8*e^9 - 1200*a^(7/2)*c^2*d^4*e^13 + 40*a^(9/2)*c*e^17)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x + sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)) - 2*(7*sqrt(2)*a^(1/4)*c^(21/4)*d^17 + 10*sqrt(2)*a^(3/4)*c^(19/4)*d^15*e^2 + 50*sqrt(2)*a^(5/4)*c^(17/4)*d^13*e^4 + 78*sqrt(2)*a^(7/4)*c^(15/4)*d^11*e^6 + 220*sqrt(2)*a^(9/4)*c^(13/4)*d^9*e^8 + 702*sqrt(2)*a^(11/4)*c^(11/4)*d^7*e^10 - 770*sqrt(2)*a^(13/4)*c^(9/4)*d^5*e^12 - 390*sqrt(2)*a^(15/4)*c^(7/4)*d^3*e^14 + 77*sqrt(2)*a^(17/4)*c^(5/4)*d*e^16 - 24*sqrt(a)*c^5*d^16*e - 176*a^(3/2)*c^4*d^12*e^5 - 960*a^(5/2)*c^3*d^8*e^9 + 1200*a^(7/2)*c^2*d^4*e^13 - 40*a^(9/2)*c*e^17)*arctan(1/2*sqrt(2)*(2*sqrt(c)*x - sqrt(2)*a^(1/4)*c^(1/4))/sqrt(sqrt(a)*sqrt(c)))/(a^(3/4)*sqrt(sqrt(a)*sqrt(c))*c^(5/4)))/(a^2*c^5*d^20 + 5*a^3*c^4*d^16*e^4 + 10*a^4*c^3*d^12*e^8 + 10*a^5*c^2*d^8*e^12 + 5*a^6*c*d^4*e^16 + a^7*e^20) + 6*(13*c^2*d^6*e^11 - 3*a*c*d^2*e^15)*log(e*x + d)/(c^5*d^20 + 5*a*c^4*d^16*e^4 + 10*a^2*c^3*d^12*e^8 + 10*a^3*c^2*d^8*e^12 + 5*a^4*c*d^4*e^16 + a^5*e^20) + 1/32*(40*a^2*c^3*d^12*e^3 + 304*a^3*c^2*d^8*e^7 - 520*a^4*c*d^4*e^11 - 16*a^5*e^15 + 6*(5*c^5*d^11*e^4 + 34*a*c^4*d^7*e^8 - 99*a^2*c^3*d^3*e^12)*x^9 + 6*(7*c^5*d^12*e^3 + 49*a*c^4*d^8*e^7 - 91*a^2*c^3*d^4*e^11 - 5*a^3*c^2*e^15)*x^8 + (c^5*d^13*e^2 + 19*a*c^4*d^9*e^6 + 35*a^2*c^3*d^5*e^10 + 17*a^3*c^2*d*e^14)*x^7 - 4*(c^5*d^14*e + 7*a*c^4*d^10*e^5 + 11*a^2*c^3*d^6*e^9 + 5*a^3*c^2*d^2*e^13)*x^6 + (7*c^5*d^15 + 97*a*c^4*d^11*e^4 + 461*a^2*c^3*d^7*e^8 - 1165*a^3*c^2*d^3*e^12)*x^5 + 2*(39*a*c^4*d^12*e^3 + 293*a^2*c^3*d^8*e^7 - 539*a^3*c^2*d^4*e^11 - 25*a^4*c*e^15)*x^4 + (5*a*c^4*d^13*e^2 + 31*a^2*c^3*d^9*e^6 + 47*a^3*c^2*d^5*e^10 + 21*a^4*c*d*e^14)*x^3 - 8*(a*c^4*d^14*e + 5*a^2*c^3*d^10*e^5 + 7*a^3*c^2*d^6*e^9 + 3*a^4*c*d^2*e^13)*x^2 + (11*a*c^4*d^15 + 79*a^2*c^3*d^11*e^4 + 269*a^3*c^2*d^7*e^8 - 567*a^4*c*d^3*e^12)*x)/(a^4*c^4*d^18 + 4*a^5*c^3*d^14*e^4 + 6*a^6*c^2*d^10*e^8 + 4*a^7*c*d^6*e^12 + a^8*d^2*e^16 + (a^2*c^6*d^16*e^2 + 4*a^3*c^5*d^12*e^6 + 6*a^4*c^4*d^8*e^10 + 4*a^5*c^3*d^4*e^14 + a^6*c^2*e^18)*x^10 + 2*(a^2*c^6*d^17*e + 4*a^3*c^5*d^13*e^5 + 6*a^4*c^4*d^9*e^9 + 4*a^5*c^3*d^5*e^13 + a^6*c^2*d*e^17)*x^9 + (a^2*c^6*d^18 + 4*a^3*c^5*d^14*e^4 + 6*a^4*c^4*d^10*e^8 + 4*a^5*c^3*d^6*e^12 + a^6*c^2*d^2*e^16)*x^8 + 2*(a^3*c^5*d^16*e^2 + 4*a^4*c^4*d^12*e^6 + 6*a^5*c^3*d^8*e^10 + 4*a^6*c^2*d^4*e^14 + a^7*c*e^18)*x^6 + 4*(a^3*c^5*d^17*e + 4*a^4*c^4*d^13*e^5 + 6*a^5*c^3*d^9*e^9 + 4*a^6*c^2*d^5*e^13 + a^7*c*d*e^17)*x^5 + 2*(a^3*c^5*d^18 + 4*a^4*c^4*d^14*e^4 + 6*a^5*c^3*d^10*e^8 + 4*a^6*c^2*d^6*e^12 + a^7*c*d^2*e^16)*x^4 + (a^4*c^4*d^16*e^2 + 4*a^5*c^3*d^12*e^6 + 6*a^6*c^2*d^8*e^10 + 4*a^7*c*d^4*e^14 + a^8*e^18)*x^2 + 2*(a^4*c^4*d^17*e + 4*a^5*c^3*d^13*e^5 + 6*a^6*c^2*d^9*e^9 + 4*a^7*c*d^5*e^13 + a^8*d*e^17)*x)","A",0
415,1,28,0,2.532132," ","integrate((-1+x)/(x^2-x+1),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{2} \, \log\left(x^{2} - x + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/2*log(x^2 - x + 1)","A",0
416,1,28,0,2.529885," ","integrate((x^2-1)/(x^3+1),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + \frac{1}{2} \, \log\left(x^{2} - x + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + 1/2*log(x^2 - x + 1)","A",0
417,1,26,0,2.156333," ","integrate((-4+3*x)/(x^2-2*x+4),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(x - 1\right)}\right) + \frac{3}{2} \, \log\left(x^{2} - 2 \, x + 4\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(x - 1)) + 3/2*log(x^2 - 2*x + 4)","A",0
418,1,26,0,2.329106," ","integrate((3*x^2+2*x-8)/(x^3+8),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(x - 1\right)}\right) + \frac{3}{2} \, \log\left(x^{2} - 2 \, x + 4\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(x - 1)) + 3/2*log(x^2 - 2*x + 4)","A",0
419,1,35,0,2.621206," ","integrate((2+x)/(x^2+2*x-1),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{x - \sqrt{2} + 1}{x + \sqrt{2} + 1}\right) + \frac{1}{2} \, \log\left(x^{2} + 2 \, x - 1\right)"," ",0,"1/4*sqrt(2)*log((x - sqrt(2) + 1)/(x + sqrt(2) + 1)) + 1/2*log(x^2 + 2*x - 1)","A",0
420,1,35,0,2.331816," ","integrate((x^2-4)/(x^3-5*x+2),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{x - \sqrt{2} + 1}{x + \sqrt{2} + 1}\right) + \frac{1}{2} \, \log\left(x^{2} + 2 \, x - 1\right)"," ",0,"1/4*sqrt(2)*log((x - sqrt(2) + 1)/(x + sqrt(2) + 1)) + 1/2*log(x^2 + 2*x - 1)","A",0
421,1,17,0,1.060778," ","integrate(2/(4*x^2-1),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(2 \, x + 1\right) + \frac{1}{2} \, \log\left(2 \, x - 1\right)"," ",0,"-1/2*log(2*x + 1) + 1/2*log(2*x - 1)","B",0
422,1,17,0,0.942167," ","integrate(1/(-1+2*x)-1/(1+2*x),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(2 \, x + 1\right) + \frac{1}{2} \, \log\left(2 \, x - 1\right)"," ",0,"-1/2*log(2*x + 1) + 1/2*log(2*x - 1)","A",0
423,1,9,0,0.881814," ","integrate(x/(-x^2+1)^5,x, algorithm=""maxima"")","\frac{1}{8 \, {\left(x^{2} - 1\right)}^{4}}"," ",0,"1/8/(x^2 - 1)^4","A",0
424,1,57,0,0.937376," ","integrate(-1/32/(-1+x)^5+3/64/(-1+x)^4-5/128/(-1+x)^3+5/256/(-1+x)^2-1/32/(1+x)^5-3/64/(1+x)^4-5/128/(1+x)^3-5/256/(1+x)^2,x, algorithm=""maxima"")","\frac{5}{256 \, {\left(x + 1\right)}} - \frac{5}{256 \, {\left(x - 1\right)}} + \frac{5}{256 \, {\left(x + 1\right)}^{2}} + \frac{5}{256 \, {\left(x - 1\right)}^{2}} + \frac{1}{64 \, {\left(x + 1\right)}^{3}} - \frac{1}{64 \, {\left(x - 1\right)}^{3}} + \frac{1}{128 \, {\left(x + 1\right)}^{4}} + \frac{1}{128 \, {\left(x - 1\right)}^{4}}"," ",0,"5/256/(x + 1) - 5/256/(x - 1) + 5/256/(x + 1)^2 + 5/256/(x - 1)^2 + 1/64/(x + 1)^3 - 1/64/(x - 1)^3 + 1/128/(x + 1)^4 + 1/128/(x - 1)^4","B",0
425,1,66,0,2.013919," ","integrate((x^6+1)/(x^6-1),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + x - \frac{1}{6} \, \log\left(x^{2} + x + 1\right) + \frac{1}{6} \, \log\left(x^{2} - x + 1\right) - \frac{1}{3} \, \log\left(x + 1\right) + \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + x - 1/6*log(x^2 + x + 1) + 1/6*log(x^2 - x + 1) - 1/3*log(x + 1) + 1/3*log(x - 1)","A",0
426,1,66,0,1.990235," ","integrate((1/x^3+x^3)/(-1/x^3+x^3),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + x - \frac{1}{6} \, \log\left(x^{2} + x + 1\right) + \frac{1}{6} \, \log\left(x^{2} - x + 1\right) - \frac{1}{3} \, \log\left(x + 1\right) + \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + x - 1/6*log(x^2 + x + 1) + 1/6*log(x^2 - x + 1) - 1/3*log(x + 1) + 1/3*log(x - 1)","A",0
427,1,20,0,0.631029," ","integrate((x^3-x)/(6+2*x),x, algorithm=""maxima"")","\frac{1}{6} \, x^{3} - \frac{3}{4} \, x^{2} + 4 \, x - 12 \, \log\left(x + 3\right)"," ",0,"1/6*x^3 - 3/4*x^2 + 4*x - 12*log(x + 3)","A",0
428,1,20,0,0.685928," ","integrate((x^3+x)/(-1+x),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, x^{2} + 2 \, x + 2 \, \log\left(x - 1\right)"," ",0,"1/3*x^3 + 1/2*x^2 + 2*x + 2*log(x - 1)","A",0
429,1,15,0,0.663894," ","integrate(a*c+(b*c+d)*x,x, algorithm=""maxima"")","a c x + \frac{1}{2} \, {\left(b c + d\right)} x^{2}"," ",0,"a*c*x + 1/2*(b*c + d)*x^2","A",0
430,1,20,0,0.568132," ","integrate(d*x+c*(b*x+a),x, algorithm=""maxima"")","\frac{1}{2} \, d x^{2} + \frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} c"," ",0,"1/2*d*x^2 + 1/2*(b*x^2 + 2*a*x)*c","A",0
431,1,22,0,1.378031," ","integrate((4+4*x)/x^2/(x^2+1),x, algorithm=""maxima"")","-\frac{4}{x} - 4 \, \arctan\left(x\right) - 2 \, \log\left(x^{2} + 1\right) + 4 \, \log\left(x\right)"," ",0,"-4/x - 4*arctan(x) - 2*log(x^2 + 1) + 4*log(x)","A",0
432,1,15,0,0.754504," ","integrate((24+8*x)/x/(x^2-4),x, algorithm=""maxima"")","\log\left(x + 2\right) + 5 \, \log\left(x - 2\right) - 6 \, \log\left(x\right)"," ",0,"log(x + 2) + 5*log(x - 2) - 6*log(x)","A",0
433,1,13,0,0.658849," ","integrate((x^2-1)/(x^3-2*x),x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(x^{2} - 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"1/4*log(x^2 - 2) + 1/2*log(x)","A",0
434,1,10,0,0.620631," ","integrate((x^2+1)/(x^3+3*x),x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(x^{3} + 3 \, x\right)"," ",0,"1/3*log(x^3 + 3*x)","A",0
435,1,10,0,0.610235," ","integrate((3*b*x^2+a)/(b*x^3+a*x),x, algorithm=""maxima"")","\log\left(b x^{3} + a x\right)"," ",0,"log(b*x^3 + a*x)","A",0
436,1,15,0,0.614438," ","integrate((-2+4*x)/(x^3-x),x, algorithm=""maxima"")","-3 \, \log\left(x + 1\right) + \log\left(x - 1\right) + 2 \, \log\left(x\right)"," ",0,"-3*log(x + 1) + log(x - 1) + 2*log(x)","A",0
437,1,17,0,1.639762," ","integrate((4+x)/(x^3+4*x),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(\frac{1}{2} \, x\right) - \frac{1}{2} \, \log\left(x^{2} + 4\right) + \log\left(x\right)"," ",0,"1/2*arctan(1/2*x) - 1/2*log(x^2 + 4) + log(x)","A",0
438,1,13,0,0.654655," ","integrate((2*x^3-x)/(x^4-x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(x^{4} - x^{2} + 1\right)"," ",0,"1/2*log(x^4 - x^2 + 1)","A",0
439,1,17,0,0.585709," ","integrate((-3+x)/(x^3+3*x^2+2*x),x, algorithm=""maxima"")","-\frac{5}{2} \, \log\left(x + 2\right) + 4 \, \log\left(x + 1\right) - \frac{3}{2} \, \log\left(x\right)"," ",0,"-5/2*log(x + 2) + 4*log(x + 1) - 3/2*log(x)","A",0
440,1,9,0,0.781105," ","integrate((2+4*x)/(x^4+2*x^3+x^2),x, algorithm=""maxima"")","-\frac{2}{x^{2} + x}"," ",0,"-2/(x^2 + x)","A",0
441,1,17,0,0.645725," ","integrate((1+x)/(x^3+x^2-6*x),x, algorithm=""maxima"")","-\frac{2}{15} \, \log\left(x + 3\right) + \frac{3}{10} \, \log\left(x - 2\right) - \frac{1}{6} \, \log\left(x\right)"," ",0,"-2/15*log(x + 3) + 3/10*log(x - 2) - 1/6*log(x)","A",0
442,1,14,0,1.556840," ","integrate((x^3+4*x^2)/(x^3+x),x, algorithm=""maxima"")","x - \arctan\left(x\right) + 2 \, \log\left(x^{2} + 1\right)"," ",0,"x - arctan(x) + 2*log(x^2 + 1)","A",0
443,1,11,0,0.581996," ","integrate((2*x^3+x)/(x^4+x^2)^3,x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(x^{4} + x^{2}\right)}^{2}}"," ",0,"-1/4/(x^4 + x^2)^2","A",0
444,1,26,0,0.716849," ","integrate((b*x^3+a*x^2)/(d*x^3+c*x^2),x, algorithm=""maxima"")","\frac{b x}{d} - \frac{{\left(b c - a d\right)} \log\left(d x + c\right)}{d^{2}}"," ",0,"b*x/d - (b*c - a*d)*log(d*x + c)/d^2","A",0
445,1,4,0,0.569847," ","integrate((x^2+x)/(x^3-x^2-2*x),x, algorithm=""maxima"")","\log\left(x - 2\right)"," ",0,"log(x - 2)","A",0
446,1,20,0,0.717548," ","integrate((-5*x^2+1)/x^3/(x^2+1),x, algorithm=""maxima"")","-\frac{1}{2 \, x^{2}} + 3 \, \log\left(x^{2} + 1\right) - 3 \, \log\left(x^{2}\right)"," ",0,"-1/2/x^2 + 3*log(x^2 + 1) - 3*log(x^2)","A",0
447,1,27,0,1.972799," ","integrate(2*x/(-1+x)/(x^2+5),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{5} \arctan\left(\frac{1}{5} \, \sqrt{5} x\right) - \frac{1}{6} \, \log\left(x^{2} + 5\right) + \frac{1}{3} \, \log\left(x - 1\right)"," ",0,"1/3*sqrt(5)*arctan(1/5*sqrt(5)*x) - 1/6*log(x^2 + 5) + 1/3*log(x - 1)","A",0
448,1,15,0,0.440151," ","integrate((x^2+2)/(2+x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - 2 \, x + 6 \, \log\left(x + 2\right)"," ",0,"1/2*x^2 - 2*x + 6*log(x + 2)","A",0
449,1,21,0,0.994750," ","integrate(1/(-3+x)/(x^2+4),x, algorithm=""maxima"")","-\frac{3}{26} \, \arctan\left(\frac{1}{2} \, x\right) - \frac{1}{26} \, \log\left(x^{2} + 4\right) + \frac{1}{13} \, \log\left(x - 3\right)"," ",0,"-3/26*arctan(1/2*x) - 1/26*log(x^2 + 4) + 1/13*log(x - 3)","A",0
450,1,17,0,0.473842," ","integrate((3*x^6-2)/x/(2*x^6+5),x, algorithm=""maxima"")","\frac{19}{60} \, \log\left(2 \, x^{6} + 5\right) - \frac{1}{15} \, \log\left(x^{6}\right)"," ",0,"19/60*log(2*x^6 + 5) - 1/15*log(x^6)","A",0
451,1,9,0,0.446753," ","integrate((3+2*x)/(-2+x)/(5+x),x, algorithm=""maxima"")","\log\left(x + 5\right) + \log\left(x - 2\right)"," ",0,"log(x + 5) + log(x - 2)","A",0
452,1,12,0,1.008303," ","integrate(x^4/(x^4+5*x^2+4),x, algorithm=""maxima"")","x - \frac{8}{3} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{1}{3} \, \arctan\left(x\right)"," ",0,"x - 8/3*arctan(1/2*x) + 1/3*arctan(x)","A",0
453,1,46,0,0.448298," ","integrate(1/(1+x)/(2+x)^2/(3+x)^3,x, algorithm=""maxima"")","\frac{9 \, x^{2} + 50 \, x + 68}{4 \, {\left(x^{3} + 8 \, x^{2} + 21 \, x + 18\right)}} - \frac{17}{8} \, \log\left(x + 3\right) + 2 \, \log\left(x + 2\right) + \frac{1}{8} \, \log\left(x + 1\right)"," ",0,"1/4*(9*x^2 + 50*x + 68)/(x^3 + 8*x^2 + 21*x + 18) - 17/8*log(x + 3) + 2*log(x + 2) + 1/8*log(x + 1)","A",0
454,1,8,0,0.438112," ","integrate(x/(x^2-1),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(x^{2} - 1\right)"," ",0,"1/2*log(x^2 - 1)","A",0
455,1,23,0,0.450794," ","integrate(1/(x^2-1)^2,x, algorithm=""maxima"")","-\frac{x}{2 \, {\left(x^{2} - 1\right)}} + \frac{1}{4} \, \log\left(x + 1\right) - \frac{1}{4} \, \log\left(x - 1\right)"," ",0,"-1/2*x/(x^2 - 1) + 1/4*log(x + 1) - 1/4*log(x - 1)","A",0
456,1,15,0,0.996131," ","integrate(x^2/(x^2+1)^2,x, algorithm=""maxima"")","-\frac{x}{2 \, {\left(x^{2} + 1\right)}} + \frac{1}{2} \, \arctan\left(x\right)"," ",0,"-1/2*x/(x^2 + 1) + 1/2*arctan(x)","A",0
457,1,8,0,0.452899," ","integrate(1/(2+3*x),x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(3 \, x + 2\right)"," ",0,"1/3*log(3*x + 2)","A",0
458,1,10,0,0.994527," ","integrate(1/(a^2+x^2),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{x}{a}\right)}{a}"," ",0,"arctan(x/a)/a","A",0
459,1,15,0,0.982379," ","integrate(1/(b*x^2+a),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"arctan(b*x/sqrt(a*b))/sqrt(a*b)","A",0
460,1,16,0,0.954675," ","integrate(1/(x^2-x+2),x, algorithm=""maxima"")","\frac{2}{7} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(2 \, x - 1\right)}\right)"," ",0,"2/7*sqrt(7)*arctan(1/7*sqrt(7)*(2*x - 1))","A",0
461,1,16,0,0.459976," ","integrate(x^2*(-x^2+4)^2,x, algorithm=""maxima"")","\frac{1}{7} \, x^{7} - \frac{8}{5} \, x^{5} + \frac{16}{3} \, x^{3}"," ",0,"1/7*x^7 - 8/5*x^5 + 16/3*x^3","A",0
462,1,16,0,0.455883," ","integrate(x*(-x^3+1)^2,x, algorithm=""maxima"")","\frac{1}{8} \, x^{8} - \frac{2}{5} \, x^{5} + \frac{1}{2} \, x^{2}"," ",0,"1/8*x^8 - 2/5*x^5 + 1/2*x^2","A",0
463,1,14,0,0.456075," ","integrate((x^3+5*x^2-4)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + 5 \, x + \frac{4}{x}"," ",0,"1/2*x^2 + 5*x + 4/x","A",0
464,1,30,0,0.976229," ","integrate((-1+x)/(3*x^2-4*x+3),x, algorithm=""maxima"")","-\frac{1}{15} \, \sqrt{5} \arctan\left(\frac{1}{5} \, \sqrt{5} {\left(3 \, x - 2\right)}\right) + \frac{1}{6} \, \log\left(3 \, x^{2} - 4 \, x + 3\right)"," ",0,"-1/15*sqrt(5)*arctan(1/5*sqrt(5)*(3*x - 2)) + 1/6*log(3*x^2 - 4*x + 3)","A",0
465,1,12,0,0.465824," ","integrate((x^3+2)^2,x, algorithm=""maxima"")","\frac{1}{7} \, x^{7} + x^{4} + 4 \, x"," ",0,"1/7*x^7 + x^4 + 4*x","A",0
466,1,9,0,0.450466," ","integrate((x^2-4)/(2+x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - 2 \, x"," ",0,"1/2*x^2 - 2*x","A",0
467,1,19,0,0.994414," ","integrate(1/(2+x)/(x^2+1),x, algorithm=""maxima"")","\frac{2}{5} \, \arctan\left(x\right) - \frac{1}{10} \, \log\left(x^{2} + 1\right) + \frac{1}{5} \, \log\left(x + 2\right)"," ",0,"2/5*arctan(x) - 1/10*log(x^2 + 1) + 1/5*log(x + 2)","A",0
468,1,19,0,1.358590," ","integrate(1/(1+x)/(x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"1/2*arctan(x) - 1/4*log(x^2 + 1) + 1/2*log(x + 1)","A",0
469,1,19,0,1.432267," ","integrate(x/(1+x)/(x^2+1),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(x\right) + \frac{1}{4} \, \log\left(x^{2} + 1\right) - \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"1/2*arctan(x) + 1/4*log(x^2 + 1) - 1/2*log(x + 1)","A",0
470,1,7,0,0.951428," ","integrate((x^2+2*x)/(1+x)^2,x, algorithm=""maxima"")","x + \frac{1}{x + 1}"," ",0,"x + 1/(x + 1)","A",0
471,1,16,0,1.578741," ","integrate((x^2-10)/(2*x^4+9*x^2+4),x, algorithm=""maxima"")","-\frac{3}{2} \, \sqrt{2} \arctan\left(\sqrt{2} x\right) + \arctan\left(\frac{1}{2} \, x\right)"," ",0,"-3/2*sqrt(2)*arctan(sqrt(2)*x) + arctan(1/2*x)","A",0
472,1,30,0,1.393316," ","integrate((31+5*x)/(3*x^2-4*x+11),x, algorithm=""maxima"")","\frac{103}{87} \, \sqrt{29} \arctan\left(\frac{1}{29} \, \sqrt{29} {\left(3 \, x - 2\right)}\right) + \frac{5}{6} \, \log\left(3 \, x^{2} - 4 \, x + 11\right)"," ",0,"103/87*sqrt(29)*arctan(1/29*sqrt(29)*(3*x - 2)) + 5/6*log(3*x^2 - 4*x + 11)","A",0
473,1,15,0,0.969074," ","integrate((x^3+x^2-2)/x^4,x, algorithm=""maxima"")","-\frac{3 \, x^{2} - 2}{3 \, x^{3}} + \log\left(x\right)"," ",0,"-1/3*(3*x^2 - 2)/x^3 + log(x)","A",0
474,1,13,0,0.948216," ","integrate((x^3+x+1)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - \frac{1}{x} + \log\left(x\right)"," ",0,"1/2*x^2 - 1/x + log(x)","A",0
475,1,13,0,0.692271," ","integrate((x^2-2)/x/(x^2+2),x, algorithm=""maxima"")","\log\left(x^{2} + 2\right) - \frac{1}{2} \, \log\left(x^{2}\right)"," ",0,"log(x^2 + 2) - 1/2*log(x^2)","A",0
476,1,17,0,0.875618," ","integrate((-3+x)*(4*x^2-7),x, algorithm=""maxima"")","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",0
477,1,19,0,0.861794," ","integrate((-2+7*x)^3,x, algorithm=""maxima"")","\frac{343}{4} \, x^{4} - 98 \, x^{3} + 42 \, x^{2} - 8 \, x"," ",0,"343/4*x^4 - 98*x^3 + 42*x^2 - 8*x","B",0
478,1,13,0,0.643359," ","integrate((4*x^2-7)/(3+2*x),x, algorithm=""maxima"")","x^{2} - 3 \, x + \log\left(2 \, x + 3\right)"," ",0,"x^2 - 3*x + log(2*x + 3)","A",0
479,1,14,0,0.588206," ","integrate((1+x)/(-1+x)/x^2,x, algorithm=""maxima"")","\frac{1}{x} + 2 \, \log\left(x - 1\right) - 2 \, \log\left(x\right)"," ",0,"1/x + 2*log(x - 1) - 2*log(x)","A",0
480,1,25,0,0.814511," ","integrate(1/(x^4+4*x^3+4*x^2),x, algorithm=""maxima"")","-\frac{x + 1}{2 \, {\left(x^{2} + 2 \, x\right)}} + \frac{1}{4} \, \log\left(x + 2\right) - \frac{1}{4} \, \log\left(x\right)"," ",0,"-1/2*(x + 1)/(x^2 + 2*x) + 1/4*log(x + 2) - 1/4*log(x)","A",0
481,1,15,0,0.739660," ","integrate((x^2+1)/(1+x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - x + 2 \, \log\left(x + 1\right)"," ",0,"1/2*x^2 - x + 2*log(x + 1)","A",0
482,1,16,0,0.727515," ","integrate((x^3-3*x^2+3*x-1)/x^2,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - 3 \, x + \frac{1}{x} + 3 \, \log\left(x\right)"," ",0,"1/2*x^2 - 3*x + 1/x + 3*log(x)","A",0
483,1,14,0,1.708150," ","integrate((x+3/2-1/2*37^(1/2))*(x+3/2+1/2*37^(1/2)),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + \frac{3}{2} \, x^{2} - 7 \, x"," ",0,"1/3*x^3 + 3/2*x^2 - 7*x","A",0
484,1,34,0,0.737764," ","integrate((2*x^3+3*x^2+4)/(1+x)^4,x, algorithm=""maxima"")","\frac{9 \, x^{2} + 18 \, x + 4}{3 \, {\left(x^{3} + 3 \, x^{2} + 3 \, x + 1\right)}} + 2 \, \log\left(x + 1\right)"," ",0,"1/3*(9*x^2 + 18*x + 4)/(x^3 + 3*x^2 + 3*x + 1) + 2*log(x + 1)","A",0
485,1,12,0,1.789068," ","integrate(x/(1+x)^2/(x^2+1),x, algorithm=""maxima"")","\frac{1}{2 \, {\left(x + 1\right)}} + \frac{1}{2} \, \arctan\left(x\right)"," ",0,"1/2/(x + 1) + 1/2*arctan(x)","A",0
486,1,25,0,0.764801," ","integrate((x^4-x^3+3*x^2-2*x+7)/(2+x),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} - x^{3} + \frac{9}{2} \, x^{2} - 20 \, x + 47 \, \log\left(x + 2\right)"," ",0,"1/4*x^4 - x^3 + 9/2*x^2 - 20*x + 47*log(x + 2)","A",0
487,1,12,0,0.890826," ","integrate((x^3-1)/(-1+x),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, x^{2} + x"," ",0,"1/3*x^3 + 1/2*x^2 + x","A",0
488,1,17,0,1.744918," ","integrate((2+2*x)/(-1+x)^3/(x^2+1),x, algorithm=""maxima"")","\frac{x - 2}{x^{2} - 2 \, x + 1} + \arctan\left(x\right)"," ",0,"(x - 2)/(x^2 - 2*x + 1) + arctan(x)","A",0
489,1,68,0,1.020583," ","integrate(1/(b*x+c*(e*x+d)^2),x, algorithm=""maxima"")","\frac{\log\left(\frac{2 \, c e^{2} x + 2 \, c d e + b - \sqrt{{\left(4 \, c d e + b\right)} b}}{2 \, c e^{2} x + 2 \, c d e + b + \sqrt{{\left(4 \, c d e + b\right)} b}}\right)}{\sqrt{{\left(4 \, c d e + b\right)} b}}"," ",0,"log((2*c*e^2*x + 2*c*d*e + b - sqrt((4*c*d*e + b)*b))/(2*c*e^2*x + 2*c*d*e + b + sqrt((4*c*d*e + b)*b)))/sqrt((4*c*d*e + b)*b)","A",0
490,-2,0,0,0.000000," ","integrate(1/(a+b*x+c*(e*x+d)^2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c*e^2>0)', see `assume?` for more details)Is 4*a*c*e^2    -4*b*c*d*e-b^2    positive or negative?","F(-2)",0
491,0,0,0,0.000000," ","integrate(x^2/(1+(x^2-1)^2),x, algorithm=""maxima"")","\int \frac{x^{2}}{{\left(x^{2} - 1\right)}^{2} + 1}\,{d x}"," ",0,"integrate(x^2/((x^2 - 1)^2 + 1), x)","F",0
492,1,65,0,1.248830," ","integrate((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, algorithm=""maxima"")","-\frac{5 \, x^{6} - x^{4} - 5 \, x^{2} + 3 \, x - 2}{x^{12} + 3 \, x^{9} + 9 \, x^{8} + 3 \, x^{6} + 18 \, x^{5} + 27 \, x^{4} + x^{3} + 9 \, x^{2} + 27 \, x + 27}"," ",0,"-(5*x^6 - x^4 - 5*x^2 + 3*x - 2)/(x^12 + 3*x^9 + 9*x^8 + 3*x^6 + 18*x^5 + 27*x^4 + x^3 + 9*x^2 + 27*x + 27)","A",0
493,1,65,0,1.199408," ","integrate(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, algorithm=""maxima"")","-\frac{5 \, x^{6} - x^{4} - 5 \, x^{2} + 3 \, x - 2}{x^{12} + 3 \, x^{9} + 9 \, x^{8} + 3 \, x^{6} + 18 \, x^{5} + 27 \, x^{4} + x^{3} + 9 \, x^{2} + 27 \, x + 27}"," ",0,"-(5*x^6 - x^4 - 5*x^2 + 3*x - 2)/(x^12 + 3*x^9 + 9*x^8 + 3*x^6 + 18*x^5 + 27*x^4 + x^3 + 9*x^2 + 27*x + 27)","B",0
494,1,65,0,0.975013," ","integrate((-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, algorithm=""maxima"")","-\frac{5 \, x^{6} - x^{4} - 5 \, x^{2} + 3 \, x - 2}{x^{12} + 3 \, x^{9} + 9 \, x^{8} + 3 \, x^{6} + 18 \, x^{5} + 27 \, x^{4} + x^{3} + 9 \, x^{2} + 27 \, x + 27}"," ",0,"-(5*x^6 - x^4 - 5*x^2 + 3*x - 2)/(x^12 + 3*x^9 + 9*x^8 + 3*x^6 + 18*x^5 + 27*x^4 + x^3 + 9*x^2 + 27*x + 27)","B",0
