1,1,84,0,0.255801," ","integrate((a+b*x+b*f*x^2/e)/(f*x^2+e*x+d)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{f x^{2} + x e + d} {\left(2 \, b x e^{\left(-1\right)} + \frac{b}{f}\right)} + \frac{{\left(4 \, b d f - 8 \, a f e + b e^{2}\right)} e^{\left(-1\right)} \log\left({\left| -2 \, {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)} \sqrt{f} - e \right|}\right)}{8 \, f^{\frac{3}{2}}}"," ",0,"1/4*sqrt(f*x^2 + x*e + d)*(2*b*x*e^(-1) + b/f) + 1/8*(4*b*d*f - 8*a*f*e + b*e^2)*e^(-1)*log(abs(-2*(sqrt(f)*x - sqrt(f*x^2 + x*e + d))*sqrt(f) - e))/f^(3/2)","A",0
2,1,847,0,3.036680," ","integrate(1/(a+b*x+b*f*x^2/e)/(f*x^2+e*x+d)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{-4 \, a b d f e + b^{2} d e^{2} + 4 \, a^{2} f e^{2} - a b e^{3}} \log\left({\left| -4 \, {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)}^{2} b d f^{2} + 8 \, {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)}^{2} a f^{2} e - 4 \, {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)} b d f^{\frac{3}{2}} e + 4 \, b d^{2} f^{2} - {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)}^{2} b f e^{2} + 8 \, {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)} a f^{\frac{3}{2}} e^{2} + 4 \, \sqrt{-4 \, a b d f e + b^{2} d e^{2} + 4 \, a^{2} f e^{2} - a b e^{3}} {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)}^{2} f^{\frac{3}{2}} - 3 \, b d f e^{2} - {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)} b \sqrt{f} e^{3} + 4 \, \sqrt{-4 \, a b d f e + b^{2} d e^{2} + 4 \, a^{2} f e^{2} - a b e^{3}} {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)} f e + 2 \, a f e^{3} + \sqrt{-4 \, a b d f e + b^{2} d e^{2} + 4 \, a^{2} f e^{2} - a b e^{3}} \sqrt{f} e^{2} \right|}\right)}{4 \, a b d f - b^{2} d e - 4 \, a^{2} f e + a b e^{2}} - \frac{\sqrt{-4 \, a b d f e + b^{2} d e^{2} + 4 \, a^{2} f e^{2} - a b e^{3}} \log\left({\left| -4 \, {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)}^{2} b d f^{2} + 8 \, {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)}^{2} a f^{2} e - 4 \, {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)} b d f^{\frac{3}{2}} e + 4 \, b d^{2} f^{2} - {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)}^{2} b f e^{2} + 8 \, {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)} a f^{\frac{3}{2}} e^{2} - 4 \, \sqrt{-4 \, a b d f e + b^{2} d e^{2} + 4 \, a^{2} f e^{2} - a b e^{3}} {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)}^{2} f^{\frac{3}{2}} - 3 \, b d f e^{2} - {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)} b \sqrt{f} e^{3} - 4 \, \sqrt{-4 \, a b d f e + b^{2} d e^{2} + 4 \, a^{2} f e^{2} - a b e^{3}} {\left(\sqrt{f} x - \sqrt{f x^{2} + x e + d}\right)} f e + 2 \, a f e^{3} - \sqrt{-4 \, a b d f e + b^{2} d e^{2} + 4 \, a^{2} f e^{2} - a b e^{3}} \sqrt{f} e^{2} \right|}\right)}{4 \, a b d f - b^{2} d e - 4 \, a^{2} f e + a b e^{2}}"," ",0,"sqrt(-4*a*b*d*f*e + b^2*d*e^2 + 4*a^2*f*e^2 - a*b*e^3)*log(abs(-4*(sqrt(f)*x - sqrt(f*x^2 + x*e + d))^2*b*d*f^2 + 8*(sqrt(f)*x - sqrt(f*x^2 + x*e + d))^2*a*f^2*e - 4*(sqrt(f)*x - sqrt(f*x^2 + x*e + d))*b*d*f^(3/2)*e + 4*b*d^2*f^2 - (sqrt(f)*x - sqrt(f*x^2 + x*e + d))^2*b*f*e^2 + 8*(sqrt(f)*x - sqrt(f*x^2 + x*e + d))*a*f^(3/2)*e^2 + 4*sqrt(-4*a*b*d*f*e + b^2*d*e^2 + 4*a^2*f*e^2 - a*b*e^3)*(sqrt(f)*x - sqrt(f*x^2 + x*e + d))^2*f^(3/2) - 3*b*d*f*e^2 - (sqrt(f)*x - sqrt(f*x^2 + x*e + d))*b*sqrt(f)*e^3 + 4*sqrt(-4*a*b*d*f*e + b^2*d*e^2 + 4*a^2*f*e^2 - a*b*e^3)*(sqrt(f)*x - sqrt(f*x^2 + x*e + d))*f*e + 2*a*f*e^3 + sqrt(-4*a*b*d*f*e + b^2*d*e^2 + 4*a^2*f*e^2 - a*b*e^3)*sqrt(f)*e^2))/(4*a*b*d*f - b^2*d*e - 4*a^2*f*e + a*b*e^2) - sqrt(-4*a*b*d*f*e + b^2*d*e^2 + 4*a^2*f*e^2 - a*b*e^3)*log(abs(-4*(sqrt(f)*x - sqrt(f*x^2 + x*e + d))^2*b*d*f^2 + 8*(sqrt(f)*x - sqrt(f*x^2 + x*e + d))^2*a*f^2*e - 4*(sqrt(f)*x - sqrt(f*x^2 + x*e + d))*b*d*f^(3/2)*e + 4*b*d^2*f^2 - (sqrt(f)*x - sqrt(f*x^2 + x*e + d))^2*b*f*e^2 + 8*(sqrt(f)*x - sqrt(f*x^2 + x*e + d))*a*f^(3/2)*e^2 - 4*sqrt(-4*a*b*d*f*e + b^2*d*e^2 + 4*a^2*f*e^2 - a*b*e^3)*(sqrt(f)*x - sqrt(f*x^2 + x*e + d))^2*f^(3/2) - 3*b*d*f*e^2 - (sqrt(f)*x - sqrt(f*x^2 + x*e + d))*b*sqrt(f)*e^3 - 4*sqrt(-4*a*b*d*f*e + b^2*d*e^2 + 4*a^2*f*e^2 - a*b*e^3)*(sqrt(f)*x - sqrt(f*x^2 + x*e + d))*f*e + 2*a*f*e^3 - sqrt(-4*a*b*d*f*e + b^2*d*e^2 + 4*a^2*f*e^2 - a*b*e^3)*sqrt(f)*e^2))/(4*a*b*d*f - b^2*d*e - 4*a^2*f*e + a*b*e^2)","B",0
3,1,703,0,1.897544," ","integrate(1/(c*x^2+b*x+d)/(c*x^2+b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} c - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c^{2} + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{2} d - {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} \sqrt{c} - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b c^{\frac{3}{2}} + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c^{\frac{3}{2}} d - 3 \, a b^{2} c + 4 \, \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{\frac{3}{2}} + 4 \, a^{2} c^{2} + 2 \, b^{2} c d + 4 \, \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c + \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} b^{2} \sqrt{c} \right|}\right)}{\sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}}} + \frac{\log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} c - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c^{2} + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{2} d - {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} \sqrt{c} - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b c^{\frac{3}{2}} + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c^{\frac{3}{2}} d - 3 \, a b^{2} c - 4 \, \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{\frac{3}{2}} + 4 \, a^{2} c^{2} + 2 \, b^{2} c d - 4 \, \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c - \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} b^{2} \sqrt{c} \right|}\right)}{\sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}}}"," ",0,"-log(abs(-(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*c - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c^2 + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^2*d - (sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3*sqrt(c) - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*c^(3/2) + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c^(3/2)*d - 3*a*b^2*c + 4*sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^(3/2) + 4*a^2*c^2 + 2*b^2*c*d + 4*sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c + sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*b^2*sqrt(c)))/sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2) + log(abs(-(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*c - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c^2 + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^2*d - (sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3*sqrt(c) - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*c^(3/2) + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c^(3/2)*d - 3*a*b^2*c - 4*sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^(3/2) + 4*a^2*c^2 + 2*b^2*c*d - 4*sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c - sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*b^2*sqrt(c)))/sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)","B",0
4,1,1166,0,2.265127," ","integrate(1/(c*x^2+b*x+d)^2/(c*x^2+b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{{\left(b^{2} + 4 \, a c - 8 \, c d\right)} \log\left({\left| {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} c + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c^{2} - 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{2} d + {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} \sqrt{c} + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b c^{\frac{3}{2}} - 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c^{\frac{3}{2}} d + 3 \, a b^{2} c + 4 \, \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{\frac{3}{2}} - 4 \, a^{2} c^{2} - 2 \, b^{2} c d + 4 \, \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c + \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} b^{2} \sqrt{c} \right|}\right)}{\sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}}} - \frac{{\left(b^{2} + 4 \, a c - 8 \, c d\right)} \log\left({\left| {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} c + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c^{2} - 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{2} d + {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} \sqrt{c} + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b c^{\frac{3}{2}} - 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c^{\frac{3}{2}} d + 3 \, a b^{2} c - 4 \, \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{\frac{3}{2}} - 4 \, a^{2} c^{2} - 2 \, b^{2} c d - 4 \, \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c - \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} b^{2} \sqrt{c} \right|}\right)}{\sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}}}}{2 \, {\left(a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}\right)}} + \frac{{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} \sqrt{c} + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c^{\frac{3}{2}} - 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{\frac{3}{2}} d + {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b c - 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c d + 3 \, a b^{2} \sqrt{c} - 4 \, a^{2} c^{\frac{3}{2}} - 2 \, b^{2} \sqrt{c} d}{{\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{4} c + 2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b \sqrt{c} + {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} - 2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c d - 2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b \sqrt{c} + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b \sqrt{c} d - a b^{2} + a^{2} c + b^{2} d\right)} {\left(a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}\right)}}"," ",0,"-1/2*((b^2 + 4*a*c - 8*c*d)*log(abs((sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*c + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c^2 - 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^2*d + (sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3*sqrt(c) + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*c^(3/2) - 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c^(3/2)*d + 3*a*b^2*c + 4*sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^(3/2) - 4*a^2*c^2 - 2*b^2*c*d + 4*sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c + sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*b^2*sqrt(c)))/sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2) - (b^2 + 4*a*c - 8*c*d)*log(abs((sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*c + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c^2 - 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^2*d + (sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3*sqrt(c) + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*c^(3/2) - 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c^(3/2)*d + 3*a*b^2*c - 4*sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^(3/2) - 4*a^2*c^2 - 2*b^2*c*d - 4*sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c - sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*b^2*sqrt(c)))/sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2))/(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2) + ((sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*sqrt(c) + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c^(3/2) - 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^(3/2)*d + (sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3 + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*c - 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c*d + 3*a*b^2*sqrt(c) - 4*a^2*c^(3/2) - 2*b^2*sqrt(c)*d)/(((sqrt(c)*x - sqrt(c*x^2 + b*x + a))^4*c + 2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b*sqrt(c) + (sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2 - 2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c*d - 2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*sqrt(c) + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*sqrt(c)*d - a*b^2 + a^2*c + b^2*d)*(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2))","B",0
5,1,2986,0,4.870102," ","integrate(1/(c*x^2+b*x+d)^3/(c*x^2+b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{\frac{{\left(3 \, b^{4} + 8 \, a b^{2} c + 48 \, a^{2} c^{2} - 32 \, b^{2} c d - 128 \, a c^{2} d + 128 \, c^{2} d^{2}\right)} \log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} c - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c^{2} + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{2} d - {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} \sqrt{c} - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b c^{\frac{3}{2}} + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c^{\frac{3}{2}} d - 3 \, a b^{2} c + 4 \, \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{\frac{3}{2}} + 4 \, a^{2} c^{2} + 2 \, b^{2} c d + 4 \, \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c + \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} b^{2} \sqrt{c} \right|}\right)}{\sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}}} - \frac{{\left(3 \, b^{4} + 8 \, a b^{2} c + 48 \, a^{2} c^{2} - 32 \, b^{2} c d - 128 \, a c^{2} d + 128 \, c^{2} d^{2}\right)} \log\left({\left| -{\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} c - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c^{2} + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{2} d - {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} \sqrt{c} - 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b c^{\frac{3}{2}} + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c^{\frac{3}{2}} d - 3 \, a b^{2} c - 4 \, \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c^{\frac{3}{2}} + 4 \, a^{2} c^{2} + 2 \, b^{2} c d - 4 \, \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b c - \sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}} b^{2} \sqrt{c} \right|}\right)}{\sqrt{a b^{2} - b^{2} d - 4 \, a c d + 4 \, c d^{2}}}}{8 \, {\left(a^{2} b^{4} - 2 \, a b^{4} d - 8 \, a^{2} b^{2} c d + b^{4} d^{2} + 16 \, a b^{2} c d^{2} + 16 \, a^{2} c^{2} d^{2} - 8 \, b^{2} c d^{3} - 32 \, a c^{2} d^{3} + 16 \, c^{2} d^{4}\right)}} - \frac{3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{6} b^{4} c^{\frac{3}{2}} + 8 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{6} a b^{2} c^{\frac{5}{2}} + 48 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{6} a^{2} c^{\frac{7}{2}} - 32 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{6} b^{2} c^{\frac{5}{2}} d - 128 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{6} a c^{\frac{7}{2}} d + 128 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{6} c^{\frac{7}{2}} d^{2} + 9 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{5} b^{5} c + 24 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{5} a b^{3} c^{2} + 144 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{5} a^{2} b c^{3} - 96 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{5} b^{3} c^{2} d - 384 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{5} a b c^{3} d + 384 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{5} b c^{3} d^{2} + 9 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{4} b^{6} \sqrt{c} + 15 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{4} a b^{4} c^{\frac{3}{2}} + 120 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{4} a^{2} b^{2} c^{\frac{5}{2}} - 144 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{4} a^{3} c^{\frac{7}{2}} - 78 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{4} b^{4} c^{\frac{3}{2}} d - 240 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{4} a b^{2} c^{\frac{5}{2}} d + 672 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{4} a^{2} c^{\frac{7}{2}} d + 192 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{4} b^{2} c^{\frac{5}{2}} d^{2} - 1152 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{4} a c^{\frac{7}{2}} d^{2} + 768 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{4} c^{\frac{7}{2}} d^{3} + 3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b^{7} - 10 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a b^{5} c - 288 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a^{3} b c^{3} + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b^{5} c d + 160 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a b^{3} c^{2} d + 1344 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a^{2} b c^{3} d - 256 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b^{3} c^{2} d^{2} - 2304 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} a b c^{3} d^{2} + 1536 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b c^{3} d^{3} - 14 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a b^{6} \sqrt{c} - 71 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a^{2} b^{4} c^{\frac{3}{2}} - 200 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a^{3} b^{2} c^{\frac{5}{2}} + 144 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a^{4} c^{\frac{7}{2}} + 23 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{6} \sqrt{c} d + 280 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a b^{4} c^{\frac{3}{2}} d + 1168 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a^{2} b^{2} c^{\frac{5}{2}} d - 640 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a^{3} c^{\frac{7}{2}} d - 272 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{4} c^{\frac{3}{2}} d^{2} - 2048 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a b^{2} c^{\frac{5}{2}} d^{2} + 640 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a^{2} c^{\frac{7}{2}} d^{2} + 1152 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} c^{\frac{5}{2}} d^{3} - 5 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b^{7} - 47 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{2} b^{5} c - 56 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{3} b^{3} c^{2} + 144 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{4} b c^{3} + 5 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{7} d + 136 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b^{5} c d + 496 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{2} b^{3} c^{2} d - 640 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{3} b c^{3} d - 80 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{5} c d^{2} - 896 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b^{3} c^{2} d^{2} + 640 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a^{2} b c^{3} d^{2} + 384 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b^{3} c^{2} d^{3} - 11 \, a^{2} b^{6} \sqrt{c} - 11 \, a^{3} b^{4} c^{\frac{3}{2}} + 72 \, a^{4} b^{2} c^{\frac{5}{2}} - 48 \, a^{5} c^{\frac{7}{2}} + 17 \, a b^{6} \sqrt{c} d + 118 \, a^{2} b^{4} c^{\frac{3}{2}} d - 256 \, a^{3} b^{2} c^{\frac{5}{2}} d + 96 \, a^{4} c^{\frac{7}{2}} d - 6 \, b^{6} \sqrt{c} d^{2} - 152 \, a b^{4} c^{\frac{3}{2}} d^{2} + 160 \, a^{2} b^{2} c^{\frac{5}{2}} d^{2} + 48 \, b^{4} c^{\frac{3}{2}} d^{3}}{4 \, {\left(a^{2} b^{4} - 2 \, a b^{4} d - 8 \, a^{2} b^{2} c d + b^{4} d^{2} + 16 \, a b^{2} c d^{2} + 16 \, a^{2} c^{2} d^{2} - 8 \, b^{2} c d^{3} - 32 \, a c^{2} d^{3} + 16 \, c^{2} d^{4}\right)} {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{4} c + 2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{3} b \sqrt{c} + {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} b^{2} - 2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} a c + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)}^{2} c d - 2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} a b \sqrt{c} + 4 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} b \sqrt{c} d - a b^{2} + a^{2} c + b^{2} d\right)}^{2}}"," ",0,"-1/8*((3*b^4 + 8*a*b^2*c + 48*a^2*c^2 - 32*b^2*c*d - 128*a*c^2*d + 128*c^2*d^2)*log(abs(-(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*c - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c^2 + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^2*d - (sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3*sqrt(c) - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*c^(3/2) + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c^(3/2)*d - 3*a*b^2*c + 4*sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^(3/2) + 4*a^2*c^2 + 2*b^2*c*d + 4*sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c + sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*b^2*sqrt(c)))/sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2) - (3*b^4 + 8*a*b^2*c + 48*a^2*c^2 - 32*b^2*c*d - 128*a*c^2*d + 128*c^2*d^2)*log(abs(-(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*c - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c^2 + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^2*d - (sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3*sqrt(c) - 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*c^(3/2) + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c^(3/2)*d - 3*a*b^2*c - 4*sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c^(3/2) + 4*a^2*c^2 + 2*b^2*c*d - 4*sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*c - sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2)*b^2*sqrt(c)))/sqrt(a*b^2 - b^2*d - 4*a*c*d + 4*c*d^2))/(a^2*b^4 - 2*a*b^4*d - 8*a^2*b^2*c*d + b^4*d^2 + 16*a*b^2*c*d^2 + 16*a^2*c^2*d^2 - 8*b^2*c*d^3 - 32*a*c^2*d^3 + 16*c^2*d^4) - 1/4*(3*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^6*b^4*c^(3/2) + 8*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^6*a*b^2*c^(5/2) + 48*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^6*a^2*c^(7/2) - 32*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^6*b^2*c^(5/2)*d - 128*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^6*a*c^(7/2)*d + 128*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^6*c^(7/2)*d^2 + 9*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^5*b^5*c + 24*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^5*a*b^3*c^2 + 144*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^5*a^2*b*c^3 - 96*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^5*b^3*c^2*d - 384*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^5*a*b*c^3*d + 384*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^5*b*c^3*d^2 + 9*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^4*b^6*sqrt(c) + 15*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^4*a*b^4*c^(3/2) + 120*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^4*a^2*b^2*c^(5/2) - 144*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^4*a^3*c^(7/2) - 78*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^4*b^4*c^(3/2)*d - 240*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^4*a*b^2*c^(5/2)*d + 672*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^4*a^2*c^(7/2)*d + 192*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^4*b^2*c^(5/2)*d^2 - 1152*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^4*a*c^(7/2)*d^2 + 768*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^4*c^(7/2)*d^3 + 3*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b^7 - 10*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a*b^5*c - 288*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a^3*b*c^3 + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b^5*c*d + 160*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a*b^3*c^2*d + 1344*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a^2*b*c^3*d - 256*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b^3*c^2*d^2 - 2304*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*a*b*c^3*d^2 + 1536*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b*c^3*d^3 - 14*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*b^6*sqrt(c) - 71*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a^2*b^4*c^(3/2) - 200*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a^3*b^2*c^(5/2) + 144*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a^4*c^(7/2) + 23*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^6*sqrt(c)*d + 280*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*b^4*c^(3/2)*d + 1168*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a^2*b^2*c^(5/2)*d - 640*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a^3*c^(7/2)*d - 272*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^4*c^(3/2)*d^2 - 2048*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*b^2*c^(5/2)*d^2 + 640*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a^2*c^(7/2)*d^2 + 1152*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2*c^(5/2)*d^3 - 5*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b^7 - 47*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^2*b^5*c - 56*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^3*b^3*c^2 + 144*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^4*b*c^3 + 5*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^7*d + 136*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b^5*c*d + 496*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^2*b^3*c^2*d - 640*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^3*b*c^3*d - 80*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^5*c*d^2 - 896*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b^3*c^2*d^2 + 640*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a^2*b*c^3*d^2 + 384*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b^3*c^2*d^3 - 11*a^2*b^6*sqrt(c) - 11*a^3*b^4*c^(3/2) + 72*a^4*b^2*c^(5/2) - 48*a^5*c^(7/2) + 17*a*b^6*sqrt(c)*d + 118*a^2*b^4*c^(3/2)*d - 256*a^3*b^2*c^(5/2)*d + 96*a^4*c^(7/2)*d - 6*b^6*sqrt(c)*d^2 - 152*a*b^4*c^(3/2)*d^2 + 160*a^2*b^2*c^(5/2)*d^2 + 48*b^4*c^(3/2)*d^3)/((a^2*b^4 - 2*a*b^4*d - 8*a^2*b^2*c*d + b^4*d^2 + 16*a*b^2*c*d^2 + 16*a^2*c^2*d^2 - 8*b^2*c*d^3 - 32*a*c^2*d^3 + 16*c^2*d^4)*((sqrt(c)*x - sqrt(c*x^2 + b*x + a))^4*c + 2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^3*b*sqrt(c) + (sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*b^2 - 2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*a*c + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))^2*c*d - 2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*a*b*sqrt(c) + 4*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*b*sqrt(c)*d - a*b^2 + a^2*c + b^2*d)^2)","B",0
6,-1,0,0,0.000000," ","integrate(1/(c*x^2+b*x+d)^4/(c*x^2+b*x+a)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
7,-2,0,0,0.000000," ","integrate(1/(b*f*x^2+b*e*x+a*e)^2/(f*x^2+e*x+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding error%%%{%%%{1,[2]%%%},[8,2,0,0,0]%%%}+%%%{%%{[%%%{-4,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,2,1,0,0]%%%}+%%%{%%%{6,[1]%%%},[6,2,2,0,0]%%%}+%%%{%%%{-4,[2]%%%},[6,2,0,0,1]%%%}+%%%{%%%{8,[2]%%%},[6,1,1,1,0]%%%}+%%%{%%{[-4,0]:[1,0,%%%{-1,[1]%%%}]%%},[5,2,3,0,0]%%%}+%%%{%%{[%%%{12,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,2,1,0,1]%%%}+%%%{%%{[%%%{-24,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,1,2,1,0]%%%}+%%%{1,[4,2,4,0,0]%%%}+%%%{%%%{-14,[1]%%%},[4,2,2,0,1]%%%}+%%%{%%%{6,[2]%%%},[4,2,0,0,2]%%%}+%%%{%%%{26,[1]%%%},[4,1,3,1,0]%%%}+%%%{%%%{-16,[2]%%%},[4,1,1,1,1]%%%}+%%%{%%%{16,[2]%%%},[4,0,2,2,0]%%%}+%%%{%%{[8,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,2,3,0,1]%%%}+%%%{%%{[%%%{-12,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,2,1,0,2]%%%}+%%%{%%{[-12,0]:[1,0,%%%{-1,[1]%%%}]%%},[3,1,4,1,0]%%%}+%%%{%%{[%%%{32,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,1,2,1,1]%%%}+%%%{%%{[%%%{-32,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,3,2,0]%%%}+%%%{-2,[2,2,4,0,1]%%%}+%%%{%%%{10,[1]%%%},[2,2,2,0,2]%%%}+%%%{%%%{-4,[2]%%%},[2,2,0,0,3]%%%}+%%%{2,[2,1,5,1,0]%%%}+%%%{%%%{-28,[1]%%%},[2,1,3,1,1]%%%}+%%%{%%%{8,[2]%%%},[2,1,1,1,2]%%%}+%%%{%%%{24,[1]%%%},[2,0,4,2,0]%%%}+%%%{%%{[-4,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,2,3,0,2]%%%}+%%%{%%{[%%%{4,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,2,1,0,3]%%%}+%%%{%%{[12,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1,4,1,1]%%%}+%%%{%%{[%%%{-8,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1,2,1,2]%%%}+%%%{%%{[-8,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,5,2,0]%%%}+%%%{1,[0,2,4,0,2]%%%}+%%%{%%%{-2,[1]%%%},[0,2,2,0,3]%%%}+%%%{%%%{1,[2]%%%},[0,2,0,0,4]%%%}+%%%{-2,[0,1,5,1,1]%%%}+%%%{%%%{2,[1]%%%},[0,1,3,1,2]%%%}+%%%{1,[0,0,6,2,0]%%%} / %%%{%%%{1,[3]%%%},[8,2,0,0,0]%%%}+%%%{%%{poly1[%%%{-4,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,2,1,0,0]%%%}+%%%{%%%{6,[2]%%%},[6,2,2,0,0]%%%}+%%%{%%%{-4,[3]%%%},[6,2,0,0,1]%%%}+%%%{%%%{8,[3]%%%},[6,1,1,1,0]%%%}+%%%{%%{poly1[%%%{-4,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,2,3,0,0]%%%}+%%%{%%{poly1[%%%{12,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,2,1,0,1]%%%}+%%%{%%{poly1[%%%{-24,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,1,2,1,0]%%%}+%%%{%%%{1,[1]%%%},[4,2,4,0,0]%%%}+%%%{%%%{-14,[2]%%%},[4,2,2,0,1]%%%}+%%%{%%%{6,[3]%%%},[4,2,0,0,2]%%%}+%%%{%%%{26,[2]%%%},[4,1,3,1,0]%%%}+%%%{%%%{-16,[3]%%%},[4,1,1,1,1]%%%}+%%%{%%%{16,[3]%%%},[4,0,2,2,0]%%%}+%%%{%%{poly1[%%%{8,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,2,3,0,1]%%%}+%%%{%%{poly1[%%%{-12,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,2,1,0,2]%%%}+%%%{%%{poly1[%%%{-12,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,1,4,1,0]%%%}+%%%{%%{poly1[%%%{32,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,1,2,1,1]%%%}+%%%{%%{poly1[%%%{-32,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,3,2,0]%%%}+%%%{%%%{-2,[1]%%%},[2,2,4,0,1]%%%}+%%%{%%%{10,[2]%%%},[2,2,2,0,2]%%%}+%%%{%%%{-4,[3]%%%},[2,2,0,0,3]%%%}+%%%{%%%{2,[1]%%%},[2,1,5,1,0]%%%}+%%%{%%%{-28,[2]%%%},[2,1,3,1,1]%%%}+%%%{%%%{8,[3]%%%},[2,1,1,1,2]%%%}+%%%{%%%{24,[2]%%%},[2,0,4,2,0]%%%}+%%%{%%{poly1[%%%{-4,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,2,3,0,2]%%%}+%%%{%%{poly1[%%%{4,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,2,1,0,3]%%%}+%%%{%%{poly1[%%%{12,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1,4,1,1]%%%}+%%%{%%{poly1[%%%{-8,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1,2,1,2]%%%}+%%%{%%{poly1[%%%{-8,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,5,2,0]%%%}+%%%{%%%{1,[1]%%%},[0,2,4,0,2]%%%}+%%%{%%%{-2,[2]%%%},[0,2,2,0,3]%%%}+%%%{%%%{1,[3]%%%},[0,2,0,0,4]%%%}+%%%{%%%{-2,[1]%%%},[0,1,5,1,1]%%%}+%%%{%%%{2,[2]%%%},[0,1,3,1,2]%%%}+%%%{%%%{1,[1]%%%},[0,0,6,2,0]%%%} Error: Bad Argument Value","F(-2)",0
8,1,52,0,0.218956," ","integrate(1/(x^2+2*x+4)/(x^2+2*x+5)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(-\frac{1}{3} \, \sqrt{3} {\left(x - \sqrt{x^{2} + 2 \, x + 5} + 2\right)}\right) + \frac{1}{3} \, \sqrt{3} \arctan\left(-\frac{1}{3} \, \sqrt{3} {\left(x - \sqrt{x^{2} + 2 \, x + 5}\right)}\right)"," ",0,"-1/3*sqrt(3)*arctan(-1/3*sqrt(3)*(x - sqrt(x^2 + 2*x + 5) + 2)) + 1/3*sqrt(3)*arctan(-1/3*sqrt(3)*(x - sqrt(x^2 + 2*x + 5)))","B",0
9,0,0,0,0.000000," ","integrate((a+1/2*e*x+c*x^2)^p*(2*c*x^2+e*x+2*a)^q,x, algorithm=""giac"")","\int {\left(2 \, c x^{2} + e x + 2 \, a\right)}^{q} {\left(c x^{2} + \frac{1}{2} \, e x + a\right)}^{p}\,{d x}"," ",0,"integrate((2*c*x^2 + e*x + 2*a)^q*(c*x^2 + 1/2*e*x + a)^p, x)","F",0
10,0,0,0,0.000000," ","integrate((a+c*e*x/f+c*x^2)^p*(a*f/c+e*x+f*x^2)^q,x, algorithm=""giac"")","\int {\left(c x^{2} + \frac{c e x}{f} + a\right)}^{p} {\left(f x^{2} + e x + \frac{a f}{c}\right)}^{q}\,{d x}"," ",0,"integrate((c*x^2 + c*e*x/f + a)^p*(f*x^2 + e*x + a*f/c)^q, x)","F",0
11,1,49,0,0.229122," ","integrate(((1+x)^2)^(1/2)/(x^2+1)^(1/2),x, algorithm=""giac"")","-{\left(\sqrt{2} - \log\left(\sqrt{2} + 1\right)\right)} \mathrm{sgn}\left(x + 1\right) - \log\left(-x + \sqrt{x^{2} + 1}\right) \mathrm{sgn}\left(x + 1\right) + \sqrt{x^{2} + 1} \mathrm{sgn}\left(x + 1\right)"," ",0,"-(sqrt(2) - log(sqrt(2) + 1))*sgn(x + 1) - log(-x + sqrt(x^2 + 1))*sgn(x + 1) + sqrt(x^2 + 1)*sgn(x + 1)","A",0
12,1,143,0,0.259964," ","integrate(1/(x^2-1)^2/(x^2+x-1)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(x - \sqrt{x^{2} + x - 1}\right)}^{3} + 3 \, {\left(x - \sqrt{x^{2} + x - 1}\right)}^{2} - x + \sqrt{x^{2} + x - 1} - 1}{2 \, {\left({\left(x - \sqrt{x^{2} + x - 1}\right)}^{4} - 2 \, {\left(x - \sqrt{x^{2} + x - 1}\right)}^{2} - 4 \, x + 4 \, \sqrt{x^{2} + x - 1}\right)}} + \frac{1}{4} \, \arctan\left(-x + \sqrt{x^{2} + x - 1} - 1\right) + \frac{5}{8} \, \log\left({\left| -x + \sqrt{x^{2} + x - 1} + 2 \right|}\right) - \frac{5}{8} \, \log\left({\left| -x + \sqrt{x^{2} + x - 1} \right|}\right)"," ",0,"1/2*(2*(x - sqrt(x^2 + x - 1))^3 + 3*(x - sqrt(x^2 + x - 1))^2 - x + sqrt(x^2 + x - 1) - 1)/((x - sqrt(x^2 + x - 1))^4 - 2*(x - sqrt(x^2 + x - 1))^2 - 4*x + 4*sqrt(x^2 + x - 1)) + 1/4*arctan(-x + sqrt(x^2 + x - 1) - 1) + 5/8*log(abs(-x + sqrt(x^2 + x - 1) + 2)) - 5/8*log(abs(-x + sqrt(x^2 + x - 1)))","B",0
13,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^(1/2)/(f*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} \sqrt{f x^{2} + d}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*sqrt(f*x^2 + d)), x)","F",0
14,1,171,0,0.214981," ","integrate((-x^2-4*x-3)^(1/2)/(2*x^2+4*x+3),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\frac{3 \, {\left(\sqrt{-x^{2} - 4 \, x - 3} - 1\right)}}{x + 2} + 1\right)}\right) - \frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\frac{\sqrt{-x^{2} - 4 \, x - 3} - 1}{x + 2} + 1\right)}\right) - \frac{1}{2} \, \arcsin\left(x + 2\right) - \frac{1}{4} \, \log\left(\frac{2 \, {\left(\sqrt{-x^{2} - 4 \, x - 3} - 1\right)}}{x + 2} + \frac{3 \, {\left(\sqrt{-x^{2} - 4 \, x - 3} - 1\right)}^{2}}{{\left(x + 2\right)}^{2}} + 1\right) + \frac{1}{4} \, \log\left(\frac{2 \, {\left(\sqrt{-x^{2} - 4 \, x - 3} - 1\right)}}{x + 2} + \frac{{\left(\sqrt{-x^{2} - 4 \, x - 3} - 1\right)}^{2}}{{\left(x + 2\right)}^{2}} + 3\right)"," ",0,"-1/2*sqrt(2)*arctan(1/2*sqrt(2)*(3*(sqrt(-x^2 - 4*x - 3) - 1)/(x + 2) + 1)) - 1/2*sqrt(2)*arctan(1/2*sqrt(2)*((sqrt(-x^2 - 4*x - 3) - 1)/(x + 2) + 1)) - 1/2*arcsin(x + 2) - 1/4*log(2*(sqrt(-x^2 - 4*x - 3) - 1)/(x + 2) + 3*(sqrt(-x^2 - 4*x - 3) - 1)^2/(x + 2)^2 + 1) + 1/4*log(2*(sqrt(-x^2 - 4*x - 3) - 1)/(x + 2) + (sqrt(-x^2 - 4*x - 3) - 1)^2/(x + 2)^2 + 3)","B",0
15,1,54,0,0.206046," ","integrate((2*x^2-x+3)*(5*x^2+3*x+2)^4,x, algorithm=""giac"")","\frac{1250}{11} \, x^{11} + \frac{475}{2} \, x^{10} + \frac{5075}{9} \, x^{9} + \frac{3415}{4} \, x^{8} + 1176 \, x^{7} + \frac{2377}{2} \, x^{6} + \frac{5099}{5} \, x^{5} + 656 \, x^{4} + \frac{1064}{3} \, x^{3} + 136 \, x^{2} + 48 \, x"," ",0,"1250/11*x^11 + 475/2*x^10 + 5075/9*x^9 + 3415/4*x^8 + 1176*x^7 + 2377/2*x^6 + 5099/5*x^5 + 656*x^4 + 1064/3*x^3 + 136*x^2 + 48*x","A",0
16,1,44,0,0.181343," ","integrate((2*x^2-x+3)*(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\frac{250}{9} \, x^{9} + \frac{325}{8} \, x^{8} + \frac{720}{7} \, x^{7} + 134 \, x^{6} + \frac{876}{5} \, x^{5} + \frac{579}{4} \, x^{4} + \frac{322}{3} \, x^{3} + 50 \, x^{2} + 24 \, x"," ",0,"250/9*x^9 + 325/8*x^8 + 720/7*x^7 + 134*x^6 + 876/5*x^5 + 579/4*x^4 + 322/3*x^3 + 50*x^2 + 24*x","A",0
17,1,34,0,0.208684," ","integrate((2*x^2-x+3)*(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\frac{50}{7} \, x^{7} + \frac{35}{6} \, x^{6} + \frac{103}{5} \, x^{5} + \frac{85}{4} \, x^{4} + \frac{83}{3} \, x^{3} + 16 \, x^{2} + 12 \, x"," ",0,"50/7*x^7 + 35/6*x^6 + 103/5*x^5 + 85/4*x^4 + 83/3*x^3 + 16*x^2 + 12*x","A",0
18,1,24,0,0.181556," ","integrate((2*x^2-x+3)*(5*x^2+3*x+2),x, algorithm=""giac"")","2 \, x^{5} + \frac{1}{4} \, x^{4} + \frac{16}{3} \, x^{3} + \frac{7}{2} \, x^{2} + 6 \, x"," ",0,"2*x^5 + 1/4*x^4 + 16/3*x^3 + 7/2*x^2 + 6*x","A",0
19,1,33,0,0.175535," ","integrate((2*x^2-x+3)/(5*x^2+3*x+2),x, algorithm=""giac"")","\frac{143}{775} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{2}{5} \, x - \frac{11}{50} \, \log\left(5 \, x^{2} + 3 \, x + 2\right)"," ",0,"143/775*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 2/5*x - 11/50*log(5*x^2 + 3*x + 2)","A",0
20,1,36,0,0.209372," ","integrate((2*x^2-x+3)/(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\frac{82}{961} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{11 \, {\left(13 \, x + 7\right)}}{155 \, {\left(5 \, x^{2} + 3 \, x + 2\right)}}"," ",0,"82/961*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 11/155*(13*x + 7)/(5*x^2 + 3*x + 2)","A",0
21,1,46,0,0.174653," ","integrate((2*x^2-x+3)/(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\frac{1106}{29791} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{5530 \, x^{3} + 4977 \, x^{2} + 4094 \, x + 1141}{1922 \, {\left(5 \, x^{2} + 3 \, x + 2\right)}^{2}}"," ",0,"1106/29791*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 1/1922*(5530*x^3 + 4977*x^2 + 4094*x + 1141)/(5*x^2 + 3*x + 2)^2","A",0
22,1,64,0,0.201108," ","integrate((2*x^2-x+3)^2*(5*x^2+3*x+2)^4,x, algorithm=""giac"")","\frac{2500}{13} \, x^{13} + \frac{875}{3} \, x^{12} + \frac{11525}{11} \, x^{11} + 1571 \, x^{10} + \frac{24859}{9} \, x^{9} + 3315 \, x^{8} + \frac{27763}{7} \, x^{7} + \frac{10771}{3} \, x^{6} + \frac{14801}{5} \, x^{5} + 1838 \, x^{4} + \frac{3016}{3} \, x^{3} + 384 \, x^{2} + 144 \, x"," ",0,"2500/13*x^13 + 875/3*x^12 + 11525/11*x^11 + 1571*x^10 + 24859/9*x^9 + 3315*x^8 + 27763/7*x^7 + 10771/3*x^6 + 14801/5*x^5 + 1838*x^4 + 3016/3*x^3 + 384*x^2 + 144*x","A",0
23,1,54,0,0.214697," ","integrate((2*x^2-x+3)^2*(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\frac{500}{11} \, x^{11} + 40 \, x^{10} + \frac{1865}{9} \, x^{9} + \frac{1863}{8} \, x^{8} + 444 \, x^{7} + 449 \, x^{6} + \frac{2693}{5} \, x^{5} + \frac{1615}{4} \, x^{4} + \frac{914}{3} \, x^{3} + 138 \, x^{2} + 72 \, x"," ",0,"500/11*x^11 + 40*x^10 + 1865/9*x^9 + 1863/8*x^8 + 444*x^7 + 449*x^6 + 2693/5*x^5 + 1615/4*x^4 + 914/3*x^3 + 138*x^2 + 72*x","A",0
24,1,44,0,0.201675," ","integrate((2*x^2-x+3)^2*(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\frac{100}{9} \, x^{9} + \frac{5}{2} \, x^{8} + \frac{321}{7} \, x^{7} + \frac{86}{3} \, x^{6} + 78 \, x^{5} + 59 \, x^{4} + \frac{241}{3} \, x^{3} + 42 \, x^{2} + 36 \, x"," ",0,"100/9*x^9 + 5/2*x^8 + 321/7*x^7 + 86/3*x^6 + 78*x^5 + 59*x^4 + 241/3*x^3 + 42*x^2 + 36*x","A",0
25,1,34,0,0.191946," ","integrate((2*x^2-x+3)^2*(5*x^2+3*x+2),x, algorithm=""giac"")","\frac{20}{7} \, x^{7} - \frac{4}{3} \, x^{6} + \frac{61}{5} \, x^{5} + \frac{1}{4} \, x^{4} + \frac{53}{3} \, x^{3} + \frac{15}{2} \, x^{2} + 18 \, x"," ",0,"20/7*x^7 - 4/3*x^6 + 61/5*x^5 + 1/4*x^4 + 53/3*x^3 + 15/2*x^2 + 18*x","A",0
26,1,43,0,0.209591," ","integrate((2*x^2-x+3)^2/(5*x^2+3*x+2),x, algorithm=""giac"")","\frac{4}{15} \, x^{3} - \frac{16}{25} \, x^{2} + \frac{8349}{19375} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{381}{125} \, x - \frac{1573}{1250} \, \log\left(5 \, x^{2} + 3 \, x + 2\right)"," ",0,"4/15*x^3 - 16/25*x^2 + 8349/19375*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 381/125*x - 1573/1250*log(5*x^2 + 3*x + 2)","A",0
27,1,52,0,0.171973," ","integrate((2*x^2-x+3)^2/(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\frac{41932}{120125} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{4}{25} \, x + \frac{121 \, {\left(69 \, x + 61\right)}}{3875 \, {\left(5 \, x^{2} + 3 \, x + 2\right)}} - \frac{22}{125} \, \log\left(5 \, x^{2} + 3 \, x + 2\right)"," ",0,"41932/120125*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 4/25*x + 121/3875*(69*x + 61)/(5*x^2 + 3*x + 2) - 22/125*log(5*x^2 + 3*x + 2)","A",0
28,1,46,0,0.184951," ","integrate((2*x^2-x+3)^2/(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\frac{4330}{29791} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{11 \, {\left(45710 \, x^{3} + 44983 \, x^{2} + 33524 \, x + 11183\right)}}{48050 \, {\left(5 \, x^{2} + 3 \, x + 2\right)}^{2}}"," ",0,"4330/29791*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 11/48050*(45710*x^3 + 44983*x^2 + 33524*x + 11183)/(5*x^2 + 3*x + 2)^2","A",0
29,1,56,0,0.183227," ","integrate((2*x^2-x+3)^2/(5*x^2+3*x+2)^4,x, algorithm=""giac"")","\frac{66752}{923521} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{12516000 \, x^{5} + 18774000 \, x^{4} + 21491796 \, x^{3} + 12780597 \, x^{2} + 5674908 \, x + 1259239}{446865 \, {\left(5 \, x^{2} + 3 \, x + 2\right)}^{3}}"," ",0,"66752/923521*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 1/446865*(12516000*x^5 + 18774000*x^4 + 21491796*x^3 + 12780597*x^2 + 5674908*x + 1259239)/(5*x^2 + 3*x + 2)^3","A",0
30,1,74,0,0.176075," ","integrate((2*x^2-x+3)^3*(5*x^2+3*x+2)^4,x, algorithm=""giac"")","\frac{1000}{3} \, x^{15} + \frac{2250}{7} \, x^{14} + \frac{27050}{13} \, x^{13} + \frac{30395}{12} \, x^{12} + \frac{68583}{11} \, x^{11} + \frac{75311}{10} \, x^{10} + \frac{103583}{9} \, x^{9} + \frac{94881}{8} \, x^{8} + \frac{91349}{7} \, x^{7} + \frac{64529}{6} \, x^{6} + \frac{43083}{5} \, x^{5} + 5144 \, x^{4} + 2856 \, x^{3} + 1080 \, x^{2} + 432 \, x"," ",0,"1000/3*x^15 + 2250/7*x^14 + 27050/13*x^13 + 30395/12*x^12 + 68583/11*x^11 + 75311/10*x^10 + 103583/9*x^9 + 94881/8*x^8 + 91349/7*x^7 + 64529/6*x^6 + 43083/5*x^5 + 5144*x^4 + 2856*x^3 + 1080*x^2 + 432*x","A",0
31,1,64,0,0.205414," ","integrate((2*x^2-x+3)^3*(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\frac{1000}{13} \, x^{13} + 25 \, x^{12} + \frac{4830}{11} \, x^{11} + \frac{3061}{10} \, x^{10} + \frac{3316}{3} \, x^{9} + \frac{7869}{8} \, x^{8} + \frac{12016}{7} \, x^{7} + \frac{2873}{2} \, x^{6} + \frac{8292}{5} \, x^{5} + \frac{4483}{4} \, x^{4} + 870 \, x^{3} + 378 \, x^{2} + 216 \, x"," ",0,"1000/13*x^13 + 25*x^12 + 4830/11*x^11 + 3061/10*x^10 + 3316/3*x^9 + 7869/8*x^8 + 12016/7*x^7 + 2873/2*x^6 + 8292/5*x^5 + 4483/4*x^4 + 870*x^3 + 378*x^2 + 216*x","A",0
32,1,54,0,0.201678," ","integrate((2*x^2-x+3)^3*(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\frac{200}{11} \, x^{11} - 6 \, x^{10} + \frac{922}{9} \, x^{9} + \frac{83}{8} \, x^{8} + \frac{1571}{7} \, x^{7} + \frac{299}{3} \, x^{6} + \frac{1416}{5} \, x^{5} + \frac{635}{4} \, x^{4} + 237 \, x^{3} + 108 \, x^{2} + 108 \, x"," ",0,"200/11*x^11 - 6*x^10 + 922/9*x^9 + 83/8*x^8 + 1571/7*x^7 + 299/3*x^6 + 1416/5*x^5 + 635/4*x^4 + 237*x^3 + 108*x^2 + 108*x","A",0
33,1,44,0,0.200778," ","integrate((2*x^2-x+3)^3*(5*x^2+3*x+2),x, algorithm=""giac"")","\frac{40}{9} \, x^{9} - \frac{9}{2} \, x^{8} + \frac{190}{7} \, x^{7} - \frac{83}{6} \, x^{6} + \frac{288}{5} \, x^{5} - 5 \, x^{4} + 60 \, x^{3} + \frac{27}{2} \, x^{2} + 54 \, x"," ",0,"40/9*x^9 - 9/2*x^8 + 190/7*x^7 - 83/6*x^6 + 288/5*x^5 - 5*x^4 + 60*x^3 + 27/2*x^2 + 54*x","A",0
34,1,53,0,0.211418," ","integrate((2*x^2-x+3)^3/(5*x^2+3*x+2),x, algorithm=""giac"")","\frac{8}{25} \, x^{5} - \frac{21}{25} \, x^{4} + \frac{1222}{375} \, x^{3} - \frac{7451}{1250} \, x^{2} + \frac{328757}{484375} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{49508}{3125} \, x - \frac{158389}{31250} \, \log\left(5 \, x^{2} + 3 \, x + 2\right)"," ",0,"8/25*x^5 - 21/25*x^4 + 1222/375*x^3 - 7451/1250*x^2 + 328757/484375*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 49508/3125*x - 158389/31250*log(5*x^2 + 3*x + 2)","A",0
35,1,62,0,0.206380," ","integrate((2*x^2-x+3)^3/(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\frac{8}{75} \, x^{3} - \frac{54}{125} \, x^{2} + \frac{3819607}{3003125} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{1466}{625} \, x + \frac{1331 \, {\left(247 \, x + 443\right)}}{96875 \, {\left(5 \, x^{2} + 3 \, x + 2\right)}} - \frac{10769}{6250} \, \log\left(5 \, x^{2} + 3 \, x + 2\right)"," ",0,"8/75*x^3 - 54/125*x^2 + 3819607/3003125*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 1466/625*x + 1331/96875*(247*x + 443)/(5*x^2 + 3*x + 2) - 10769/6250*log(5*x^2 + 3*x + 2)","A",0
36,1,62,0,0.189097," ","integrate((2*x^2-x+3)^3/(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\frac{11341176}{18619375} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{8}{125} \, x + \frac{121 \, {\left(68568 \, x^{3} + 78817 \, x^{2} + 53402 \, x + 21113\right)}}{240250 \, {\left(5 \, x^{2} + 3 \, x + 2\right)}^{2}} - \frac{66}{625} \, \log\left(5 \, x^{2} + 3 \, x + 2\right)"," ",0,"11341176/18619375*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 8/125*x + 121/240250*(68568*x^3 + 78817*x^2 + 53402*x + 21113)/(5*x^2 + 3*x + 2)^2 - 66/625*log(5*x^2 + 3*x + 2)","A",0
37,1,63,0,0.210753," ","integrate((5*x^2+3*x+2)^4/(2*x^2-x+3),x, algorithm=""giac"")","\frac{625}{14} \, x^{7} + \frac{3625}{24} \, x^{6} + \frac{1855}{8} \, x^{5} + \frac{6245}{64} \, x^{4} - \frac{21229}{96} \, x^{3} - \frac{28747}{128} \, x^{2} - \frac{1156639}{5888} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{122691}{128} \, x + \frac{307461}{512} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"625/14*x^7 + 3625/24*x^6 + 1855/8*x^5 + 6245/64*x^4 - 21229/96*x^3 - 28747/128*x^2 - 1156639/5888*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 122691/128*x + 307461/512*log(2*x^2 - x + 3)","A",0
38,1,53,0,0.213243," ","integrate((5*x^2+3*x+2)^3/(2*x^2-x+3),x, algorithm=""giac"")","\frac{25}{2} \, x^{5} + \frac{575}{16} \, x^{4} + \frac{965}{24} \, x^{3} - \frac{829}{32} \, x^{2} + \frac{59895}{1472} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) - \frac{4795}{32} \, x + \frac{1331}{128} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"25/2*x^5 + 575/16*x^4 + 965/24*x^3 - 829/32*x^2 + 59895/1472*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) - 4795/32*x + 1331/128*log(2*x^2 - x + 3)","A",0
39,1,43,0,0.182318," ","integrate((5*x^2+3*x+2)^2/(2*x^2-x+3),x, algorithm=""giac"")","\frac{25}{6} \, x^{3} + \frac{85}{8} \, x^{2} - \frac{847}{368} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{51}{8} \, x - \frac{363}{32} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"25/6*x^3 + 85/8*x^2 - 847/368*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 51/8*x - 363/32*log(2*x^2 - x + 3)","A",0
40,1,33,0,0.207134," ","integrate((5*x^2+3*x+2)/(2*x^2-x+3),x, algorithm=""giac"")","-\frac{33}{92} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{5}{2} \, x + \frac{11}{8} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"-33/92*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 5/2*x + 11/8*log(2*x^2 - x + 3)","A",0
41,1,59,0,0.190958," ","integrate(1/(2*x^2-x+3)/(5*x^2+3*x+2),x, algorithm=""giac"")","\frac{13}{682} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) - \frac{3}{506} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{1}{44} \, \log\left(5 \, x^{2} + 3 \, x + 2\right) - \frac{1}{44} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"13/682*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) - 3/506*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 1/44*log(5*x^2 + 3*x + 2) - 1/44*log(2*x^2 - x + 3)","A",0
42,1,78,0,0.197978," ","integrate(1/(2*x^2-x+3)/(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\frac{2891}{465124} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) - \frac{7}{11132} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{65 \, x + 4}{682 \, {\left(5 \, x^{2} + 3 \, x + 2\right)}} - \frac{3}{968} \, \log\left(5 \, x^{2} + 3 \, x + 2\right) + \frac{3}{968} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"2891/465124*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) - 7/11132*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 1/682*(65*x + 4)/(5*x^2 + 3*x + 2) - 3/968*log(5*x^2 + 3*x + 2) + 3/968*log(2*x^2 - x + 3)","A",0
43,1,88,0,0.179733," ","integrate(1/(2*x^2-x+3)/(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\frac{847793}{317214568} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{45}{244904} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{108025 \, x^{3} + 104430 \, x^{2} + 89144 \, x + 17210}{465124 \, {\left(5 \, x^{2} + 3 \, x + 2\right)}^{2}} + \frac{1}{21296} \, \log\left(5 \, x^{2} + 3 \, x + 2\right) - \frac{1}{21296} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"847793/317214568*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 45/244904*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 1/465124*(108025*x^3 + 104430*x^2 + 89144*x + 17210)/(5*x^2 + 3*x + 2)^2 + 1/21296*log(5*x^2 + 3*x + 2) - 1/21296*log(2*x^2 - x + 3)","A",0
44,1,72,0,0.182586," ","integrate((5*x^2+3*x+2)^4/(2*x^2-x+3)^2,x, algorithm=""giac"")","\frac{125}{4} \, x^{5} + \frac{2125}{16} \, x^{4} + \frac{9775}{48} \, x^{3} - \frac{1185}{8} \, x^{2} + \frac{13292697}{33856} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) - \frac{89359}{64} \, x - \frac{14641 \, {\left(79 \, x + 101\right)}}{2944 \, {\left(2 \, x^{2} - x + 3\right)}} - \frac{30613}{128} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"125/4*x^5 + 2125/16*x^4 + 9775/48*x^3 - 1185/8*x^2 + 13292697/33856*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) - 89359/64*x - 14641/2944*(79*x + 101)/(2*x^2 - x + 3) - 30613/128*log(2*x^2 - x + 3)","A",0
45,1,62,0,0.194510," ","integrate((5*x^2+3*x+2)^3/(2*x^2-x+3)^2,x, algorithm=""giac"")","\frac{125}{12} \, x^{3} + \frac{175}{4} \, x^{2} - \frac{223971}{8464} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{915}{16} \, x + \frac{1331 \, {\left(45 \, x - 17\right)}}{736 \, {\left(2 \, x^{2} - x + 3\right)}} - \frac{2057}{32} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"125/12*x^3 + 175/4*x^2 - 223971/8464*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 915/16*x + 1331/736*(45*x - 17)/(2*x^2 - x + 3) - 2057/32*log(2*x^2 - x + 3)","A",0
46,1,52,0,0.172596," ","integrate((5*x^2+3*x+2)^2/(2*x^2-x+3)^2,x, algorithm=""giac"")","-\frac{1859}{2116} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{25}{4} \, x - \frac{121 \, {\left(7 \, x - 19\right)}}{184 \, {\left(2 \, x^{2} - x + 3\right)}} + \frac{55}{8} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"-1859/2116*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 25/4*x - 121/184*(7*x - 19)/(2*x^2 - x + 3) + 55/8*log(2*x^2 - x + 3)","A",0
47,1,36,0,0.188572," ","integrate((5*x^2+3*x+2)/(2*x^2-x+3)^2,x, algorithm=""giac"")","\frac{82}{529} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) - \frac{11 \, {\left(3 \, x + 5\right)}}{46 \, {\left(2 \, x^{2} - x + 3\right)}}"," ",0,"82/529*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) - 11/46*(3*x + 5)/(2*x^2 - x + 3)","A",0
48,1,78,0,0.192047," ","integrate(1/(2*x^2-x+3)^2/(5*x^2+3*x+2),x, algorithm=""giac"")","\frac{69}{15004} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) - \frac{241}{256036} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) - \frac{6 \, x - 13}{506 \, {\left(2 \, x^{2} - x + 3\right)}} + \frac{13}{968} \, \log\left(5 \, x^{2} + 3 \, x + 2\right) - \frac{13}{968} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"69/15004*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) - 241/256036*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) - 1/506*(6*x - 13)/(2*x^2 - x + 3) + 13/968*log(5*x^2 + 3*x + 2) - 13/968*log(2*x^2 - x + 3)","A",0
49,1,96,0,0.193436," ","integrate(1/(2*x^2-x+3)^2/(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\frac{12643}{5116364} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) - \frac{2769}{2816396} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{6850 \, x^{3} - 9275 \, x^{2} + 11154 \, x - 4342}{172546 \, {\left(10 \, x^{4} + x^{3} + 16 \, x^{2} + 7 \, x + 6\right)}} - \frac{19}{10648} \, \log\left(5 \, x^{2} + 3 \, x + 2\right) + \frac{19}{10648} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"12643/5116364*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) - 2769/2816396*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 1/172546*(6850*x^3 - 9275*x^2 + 11154*x - 4342)/(10*x^4 + x^3 + 16*x^2 + 7*x + 6) - 19/10648*log(5*x^2 + 3*x + 2) + 19/10648*log(2*x^2 - x + 3)","A",0
50,1,110,0,0.202271," ","integrate(1/(2*x^2-x+3)^2/(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\frac{4464079}{6978720496} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{25557}{123921424} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{39969650 \, x^{5} + 21652955 \, x^{4} + 69648769 \, x^{3} + 47820302 \, x^{2} + 42668920 \, x + 6976948}{235352744 \, {\left(5 \, x^{2} + 3 \, x + 2\right)}^{2} {\left(2 \, x^{2} - x + 3\right)}} - \frac{97}{468512} \, \log\left(5 \, x^{2} + 3 \, x + 2\right) + \frac{97}{468512} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"4464079/6978720496*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 25557/123921424*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 1/235352744*(39969650*x^5 + 21652955*x^4 + 69648769*x^3 + 47820302*x^2 + 42668920*x + 6976948)/((5*x^2 + 3*x + 2)^2*(2*x^2 - x + 3)) - 97/468512*log(5*x^2 + 3*x + 2) + 97/468512*log(2*x^2 - x + 3)","A",0
51,1,72,0,0.206568," ","integrate((5*x^2+3*x+2)^4/(2*x^2-x+3)^3,x, algorithm=""giac"")","\frac{625}{24} \, x^{3} + \frac{4875}{32} \, x^{2} - \frac{63799791}{389344} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{2725}{8} \, x + \frac{1331 \, {\left(76420 \, x^{3} - 32981 \, x^{2} + 102022 \, x - 4933\right)}}{67712 \, {\left(2 \, x^{2} - x + 3\right)}^{2}} - \frac{13915}{64} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"625/24*x^3 + 4875/32*x^2 - 63799791/389344*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 2725/8*x + 1331/67712*(76420*x^3 - 32981*x^2 + 102022*x - 4933)/(2*x^2 - x + 3)^2 - 13915/64*log(2*x^2 - x + 3)","A",0
52,1,62,0,0.182569," ","integrate((5*x^2+3*x+2)^3/(2*x^2-x+3)^3,x, algorithm=""giac"")","-\frac{165099}{194672} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{125}{8} \, x - \frac{121 \, {\left(12828 \, x^{3} - 27607 \, x^{2} + 24146 \, x - 29639\right)}}{16928 \, {\left(2 \, x^{2} - x + 3\right)}^{2}} + \frac{825}{32} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"-165099/194672*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 125/8*x - 121/16928*(12828*x^3 - 27607*x^2 + 24146*x - 29639)/(2*x^2 - x + 3)^2 + 825/32*log(2*x^2 - x + 3)","A",0
53,1,46,0,0.185829," ","integrate((5*x^2+3*x+2)^2/(2*x^2-x+3)^3,x, algorithm=""giac"")","\frac{4330}{12167} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) - \frac{11 \, {\left(1660 \, x^{3} + 4045 \, x^{2} + 938 \, x + 4909\right)}}{4232 \, {\left(2 \, x^{2} - x + 3\right)}^{2}}"," ",0,"4330/12167*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) - 11/4232*(1660*x^3 + 4045*x^2 + 938*x + 4909)/(2*x^2 - x + 3)^2","A",0
54,1,46,0,0.205272," ","integrate((5*x^2+3*x+2)/(2*x^2-x+3)^3,x, algorithm=""giac"")","\frac{262}{12167} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{524 \, x^{3} - 393 \, x^{2} + 472 \, x - 829}{1058 \, {\left(2 \, x^{2} - x + 3\right)}^{2}}"," ",0,"262/12167*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 1/1058*(524*x^3 - 393*x^2 + 472*x - 829)/(2*x^2 - x + 3)^2","A",0
55,1,88,0,0.211432," ","integrate(1/(2*x^2-x+3)^3/(5*x^2+3*x+2),x, algorithm=""giac"")","\frac{247}{330088} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{53403}{129554216} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) - \frac{1492 \, x^{3} - 7996 \, x^{2} + 7381 \, x - 14164}{256036 \, {\left(2 \, x^{2} - x + 3\right)}^{2}} + \frac{119}{21296} \, \log\left(5 \, x^{2} + 3 \, x + 2\right) - \frac{119}{21296} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"247/330088*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 53403/129554216*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) - 1/256036*(1492*x^3 - 7996*x^2 + 7381*x - 14164)/(2*x^2 - x + 3)^2 + 119/21296*log(5*x^2 + 3*x + 2) - 119/21296*log(2*x^2 - x + 3)","A",0
56,1,110,0,0.216583," ","integrate(1/(2*x^2-x+3)^3/(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\frac{246757}{225120016} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) - \frac{2038497}{2850192752} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) - \frac{1011260 \, x^{5} + 8304376 \, x^{4} - 5042869 \, x^{3} + 21674311 \, x^{2} - 5887820 \, x + 8829788}{174616552 \, {\left(5 \, x^{2} + 3 \, x + 2\right)} {\left(2 \, x^{2} - x + 3\right)}^{2}} - \frac{181}{468512} \, \log\left(5 \, x^{2} + 3 \, x + 2\right) + \frac{181}{468512} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"246757/225120016*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) - 2038497/2850192752*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) - 1/174616552*(1011260*x^5 + 8304376*x^4 - 5042869*x^3 + 21674311*x^2 - 5887820*x + 8829788)/((5*x^2 + 3*x + 2)*(2*x^2 - x + 3)^2) - 181/468512*log(5*x^2 + 3*x + 2) + 181/468512*log(2*x^2 - x + 3)","A",0
57,1,116,0,0.218589," ","integrate(1/(2*x^2-x+3)^3/(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\frac{2768835}{19191481364} \, \sqrt{31} \arctan\left(\frac{1}{31} \, \sqrt{31} {\left(10 \, x + 3\right)}\right) + \frac{880575}{7838030068} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(4 \, x - 1\right)}\right) + \frac{4284261000 \, x^{7} - 142720800 \, x^{6} + 11913326210 \, x^{5} + 4005307690 \, x^{4} + 11087580870 \, x^{3} + 4691822415 \, x^{2} + 5017681412 \, x + 470561254}{29772122116 \, {\left(10 \, x^{4} + x^{3} + 16 \, x^{2} + 7 \, x + 6\right)}^{2}} - \frac{405}{1288408} \, \log\left(5 \, x^{2} + 3 \, x + 2\right) + \frac{405}{1288408} \, \log\left(2 \, x^{2} - x + 3\right)"," ",0,"2768835/19191481364*sqrt(31)*arctan(1/31*sqrt(31)*(10*x + 3)) + 880575/7838030068*sqrt(23)*arctan(1/23*sqrt(23)*(4*x - 1)) + 1/29772122116*(4284261000*x^7 - 142720800*x^6 + 11913326210*x^5 + 4005307690*x^4 + 11087580870*x^3 + 4691822415*x^2 + 5017681412*x + 470561254)/(10*x^4 + x^3 + 16*x^2 + 7*x + 6)^2 - 405/1288408*log(5*x^2 + 3*x + 2) + 405/1288408*log(2*x^2 - x + 3)","A",0
58,1,93,0,0.249444," ","integrate((5*x^2+3*x+2)^4*(2*x^2-x+3)^(1/2),x, algorithm=""giac"")","\frac{1}{21139292160} \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(40 \, {\left(140 \, {\left(160 \, {\left(36 \, x + 95\right)} x + 27587\right)} x + 4715553\right)} x + 185859571\right)} x + 2614620113\right)} x + 17278778577\right)} x - 5450564931\right)} x + 134438046441\right)} x + 3801512106459\right)} \sqrt{2 \, x^{2} - x + 3} - \frac{8267844569}{268435456} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/21139292160*(4*(8*(4*(16*(20*(40*(140*(160*(36*x + 95)*x + 27587)*x + 4715553)*x + 185859571)*x + 2614620113)*x + 17278778577)*x - 5450564931)*x + 134438046441)*x + 3801512106459)*sqrt(2*x^2 - x + 3) - 8267844569/268435456*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
59,1,83,0,0.253967," ","integrate((5*x^2+3*x+2)^3*(2*x^2-x+3)^(1/2),x, algorithm=""giac"")","\frac{1}{220200960} \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, {\left(120 \, {\left(140 \, x + 283\right)} x + 53507\right)} x + 5474693\right)} x + 77126277\right)} x + 143244129\right)} x - 405326979\right)} x - 3957369321\right)} \sqrt{2 \, x^{2} - x + 3} - \frac{155620231}{8388608} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/220200960*(4*(8*(4*(16*(100*(120*(140*x + 283)*x + 53507)*x + 5474693)*x + 77126277)*x + 143244129)*x - 405326979)*x - 3957369321)*sqrt(2*x^2 - x + 3) - 155620231/8388608*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
60,1,73,0,0.217067," ","integrate((5*x^2+3*x+2)^2*(2*x^2-x+3)^(1/2),x, algorithm=""giac"")","\frac{1}{49152} \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x + 139\right)} x + 3195\right)} x + 11423\right)} x + 82051\right)} x - 64023\right)} \sqrt{2 \, x^{2} - x + 3} + \frac{284533}{65536} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/49152*(4*(8*(4*(16*(100*x + 139)*x + 3195)*x + 11423)*x + 82051)*x - 64023)*sqrt(2*x^2 - x + 3) + 284533/65536*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
61,1,63,0,0.237587," ","integrate((5*x^2+3*x+2)*(2*x^2-x+3)^(1/2),x, algorithm=""giac"")","\frac{1}{1536} \, {\left(4 \, {\left(8 \, {\left(60 \, x + 43\right)} x + 671\right)} x + 3261\right)} \sqrt{2 \, x^{2} - x + 3} - \frac{1863}{2048} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/1536*(4*(8*(60*x + 43)*x + 671)*x + 3261)*sqrt(2*x^2 - x + 3) - 1863/2048*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
62,-2,0,0,0.000000," ","integrate((2*x^2-x+3)^(1/2)/(5*x^2+3*x+2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 5.57Done","F(-2)",0
63,-2,0,0,0.000000," ","integrate((2*x^2-x+3)^(1/2)/(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 17.67Done","F(-2)",0
64,-2,0,0,0.000000," ","integrate((2*x^2-x+3)^(1/2)/(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 48.06Done","F(-2)",0
65,1,103,0,0.254774," ","integrate((2*x^2-x+3)^(3/2)*(5*x^2+3*x+2)^4,x, algorithm=""giac"")","\frac{1}{676457349120} \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(8 \, {\left(28 \, {\left(160 \, {\left(12 \, {\left(200 \, {\left(20 \, x + 41\right)} x + 19833\right)} x + 363785\right)} x + 81213077\right)} x + 2334860475\right)} x + 16491197869\right)} x + 220498721807\right)} x + 1867353001743\right)} x + 2035999939491\right)} x + 3242793881079\right)} x + 74032009514181\right)} \sqrt{2 \, x^{2} - x + 3} - \frac{606427533063}{8589934592} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/676457349120*(4*(8*(4*(16*(20*(8*(28*(160*(12*(200*(20*x + 41)*x + 19833)*x + 363785)*x + 81213077)*x + 2334860475)*x + 16491197869)*x + 220498721807)*x + 1867353001743)*x + 2035999939491)*x + 3242793881079)*x + 74032009514181)*sqrt(2*x^2 - x + 3) - 606427533063/8589934592*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
66,1,93,0,0.255606," ","integrate((2*x^2-x+3)^(3/2)*(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\frac{1}{3523215360} \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(8 \, {\left(140 \, {\left(160 \, {\left(12 \, x + 17\right)} x + 7157\right)} x + 1314759\right)} x + 13947713\right)} x + 238228459\right)} x + 3041071851\right)} x + 6237970767\right)} x + 13496358003\right)} x - 72152399943\right)} \sqrt{2 \, x^{2} - x + 3} - \frac{1059790665}{134217728} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/3523215360*(4*(8*(4*(16*(20*(8*(140*(160*(12*x + 17)*x + 7157)*x + 1314759)*x + 13947713)*x + 238228459)*x + 3041071851)*x + 6237970767)*x + 13496358003)*x - 72152399943)*sqrt(2*x^2 - x + 3) - 1059790665/134217728*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
67,1,83,0,0.256915," ","integrate((2*x^2-x+3)^(3/2)*(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\frac{1}{110100480} \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(20 \, {\left(120 \, {\left(140 \, x + 107\right)} x + 49459\right)} x + 1006481\right)} x + 21315729\right)} x + 56238973\right)} x + 404850857\right)} x + 439831323\right)} \sqrt{2 \, x^{2} - x + 3} + \frac{12850997}{4194304} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/110100480*(4*(8*(4*(16*(20*(120*(140*x + 107)*x + 49459)*x + 1006481)*x + 21315729)*x + 56238973)*x + 404850857)*x + 439831323)*sqrt(2*x^2 - x + 3) + 12850997/4194304*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
68,1,73,0,0.230013," ","integrate((2*x^2-x+3)^(3/2)*(5*x^2+3*x+2),x, algorithm=""giac"")","\frac{1}{122880} \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, x + 7\right)} x + 4383\right)} x + 9971\right)} x + 141319\right)} x + 388341\right)} \sqrt{2 \, x^{2} - x + 3} - \frac{94691}{32768} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/122880*(4*(8*(4*(16*(100*x + 7)*x + 4383)*x + 9971)*x + 141319)*x + 388341)*sqrt(2*x^2 - x + 3) - 94691/32768*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
69,-2,0,0,0.000000," ","integrate((2*x^2-x+3)^(3/2)/(5*x^2+3*x+2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 10.3Done","F(-2)",0
70,-2,0,0,0.000000," ","integrate((2*x^2-x+3)^(3/2)/(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding error%%%{174900625,[8]%%%}+%%%{%%{[-419761500,0]:[1,0,-2]%%},[7]%%%}+%%%{-685610450,[6]%%%}+%%%{%%{[3246155600,0]:[1,0,-2]%%},[5]%%%}+%%%{1574105625,[4]%%%}+%%%{%%{[-10885814900,0]:[1,0,-2]%%},[3]%%%}+%%%{-3861805800,[2]%%%}+%%%{%%{[20372424800,0]:[1,0,-2]%%},[1]%%%}+%%%{21939534400,[0]%%%} / %%%{50,[8]%%%}+%%%{%%{poly1[-120,0]:[1,0,-2]%%},[7]%%%}+%%%{-196,[6]%%%}+%%%{%%{poly1[928,0]:[1,0,-2]%%},[5]%%%}+%%%{450,[4]%%%}+%%%{%%{poly1[-3112,0]:[1,0,-2]%%},[3]%%%}+%%%{-1104,[2]%%%}+%%%{%%{poly1[5824,0]:[1,0,-2]%%},[1]%%%}+%%%{6272,[0]%%%} Error: Bad Argument Value","F(-2)",0
71,-2,0,0,0.000000," ","integrate((2*x^2-x+3)^(3/2)/(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 36.71Done","F(-2)",0
72,1,113,0,0.535937," ","integrate((2*x^2-x+3)^(5/2)*(5*x^2+3*x+2)^4,x, algorithm=""giac"")","\frac{1}{140703128616960} \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(32 \, {\left(12 \, {\left(200 \, {\left(20 \, {\left(240 \, {\left(260 \, x + 387\right)} x + 340823\right)} x + 10179103\right)} x + 3612502719\right)} x + 52340574127\right)} x + 2023708176167\right)} x + 7401903757359\right)} x + 49495652134297\right)} x + 125872428004183\right)} x + 1113210402762327\right)} x + 1564505438694219\right)} x + 3017903568965631\right)} x + 10820567498568669\right)} \sqrt{2 \, x^{2} - x + 3} - \frac{14641852251147}{137438953472} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/140703128616960*(4*(8*(4*(16*(4*(8*(4*(32*(12*(200*(20*(240*(260*x + 387)*x + 340823)*x + 10179103)*x + 3612502719)*x + 52340574127)*x + 2023708176167)*x + 7401903757359)*x + 49495652134297)*x + 125872428004183)*x + 1113210402762327)*x + 1564505438694219)*x + 3017903568965631)*x + 10820567498568669)*sqrt(2*x^2 - x + 3) - 14641852251147/137438953472*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
73,1,103,0,0.548775," ","integrate((2*x^2-x+3)^(5/2)*(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\frac{1}{67645734912} \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(4 \, {\left(8 \, {\left(28 \, {\left(32 \, {\left(12 \, {\left(200 \, {\left(20 \, x + 17\right)} x + 18369\right)} x + 244241\right)} x + 15169177\right)} x + 432549111\right)} x + 4196608145\right)} x + 12786390239\right)} x + 159256442847\right)} x + 314397861939\right)} x + 1140235932231\right)} x - 1191399152715\right)} \sqrt{2 \, x^{2} - x + 3} - \frac{10569777075}{4294967296} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/67645734912*(4*(8*(4*(16*(4*(8*(28*(32*(12*(200*(20*x + 17)*x + 18369)*x + 244241)*x + 15169177)*x + 432549111)*x + 4196608145)*x + 12786390239)*x + 159256442847)*x + 314397861939)*x + 1140235932231)*x - 1191399152715)*sqrt(2*x^2 - x + 3) - 10569777075/4294967296*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
74,1,93,0,0.516011," ","integrate((2*x^2-x+3)^(5/2)*(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\frac{1}{1056964608} \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(4 \, {\left(8 \, {\left(28 \, {\left(160 \, {\left(36 \, x + 7\right)} x + 24067\right)} x + 402861\right)} x + 9202859\right)} x + 27904037\right)} x + 608377125\right)} x + 1343520129\right)} x + 9883312413\right)} x + 14824182519\right)} \sqrt{2 \, x^{2} - x + 3} - \frac{94111745}{67108864} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/1056964608*(4*(8*(4*(16*(4*(8*(28*(160*(36*x + 7)*x + 24067)*x + 402861)*x + 9202859)*x + 27904037)*x + 608377125)*x + 1343520129)*x + 9883312413)*x + 14824182519)*sqrt(2*x^2 - x + 3) - 94111745/67108864*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
75,1,83,0,0.391307," ","integrate((2*x^2-x+3)^(5/2)*(5*x^2+3*x+2),x, algorithm=""giac"")","\frac{1}{11010048} \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(4 \, {\left(24 \, {\left(140 \, x - 69\right)} x + 14503\right)} x - 791\right)} x + 1349097\right)} x + 2102261\right)} x + 37239361\right)} x + 58536675\right)} \sqrt{2 \, x^{2} - x + 3} - \frac{16851295}{2097152} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/11010048*(4*(8*(4*(16*(4*(24*(140*x - 69)*x + 14503)*x - 791)*x + 1349097)*x + 2102261)*x + 37239361)*x + 58536675)*sqrt(2*x^2 - x + 3) - 16851295/2097152*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
76,-2,0,0,0.000000," ","integrate((2*x^2-x+3)^(5/2)/(5*x^2+3*x+2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 15.78Done","F(-2)",0
77,-2,0,0,0.000000," ","integrate((2*x^2-x+3)^(5/2)/(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding error%%%{15625,[8]%%%}+%%%{%%{[-37500,0]:[1,0,-2]%%},[7]%%%}+%%%{-61250,[6]%%%}+%%%{%%{[290000,0]:[1,0,-2]%%},[5]%%%}+%%%{140625,[4]%%%}+%%%{%%{[-972500,0]:[1,0,-2]%%},[3]%%%}+%%%{-345000,[2]%%%}+%%%{%%{[1820000,0]:[1,0,-2]%%},[1]%%%}+%%%{1960000,[0]%%%} / %%%{50,[8]%%%}+%%%{%%{poly1[-120,0]:[1,0,-2]%%},[7]%%%}+%%%{-196,[6]%%%}+%%%{%%{poly1[928,0]:[1,0,-2]%%},[5]%%%}+%%%{450,[4]%%%}+%%%{%%{poly1[-3112,0]:[1,0,-2]%%},[3]%%%}+%%%{-1104,[2]%%%}+%%%{%%{poly1[5824,0]:[1,0,-2]%%},[1]%%%}+%%%{6272,[0]%%%} Error: Bad Argument Value","F(-2)",0
78,-2,0,0,0.000000," ","integrate((2*x^2-x+3)^(5/2)/(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 59.56Done","F(-2)",0
79,1,83,0,0.502613," ","integrate((5*x^2+3*x+2)^4/(2*x^2-x+3)^(1/2),x, algorithm=""giac"")","\frac{1}{88080384} \, {\left(4 \, {\left(8 \, {\left(4 \, {\left(16 \, {\left(100 \, {\left(120 \, {\left(140 \, x + 459\right)} x + 84659\right)} x + 4805717\right)} x - 59251371\right)} x - 323993103\right)} x + 4716022221\right)} x + 49479262983\right)} \sqrt{2 \, x^{2} - x + 3} + \frac{2899366573}{16777216} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/88080384*(4*(8*(4*(16*(100*(120*(140*x + 459)*x + 84659)*x + 4805717)*x - 59251371)*x - 323993103)*x + 4716022221)*x + 49479262983)*sqrt(2*x^2 - x + 3) + 2899366573/16777216*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
80,1,73,0,0.523580," ","integrate((5*x^2+3*x+2)^3/(2*x^2-x+3)^(1/2),x, algorithm=""giac"")","\frac{1}{98304} \, {\left(4 \, {\left(8 \, {\left(20 \, {\left(16 \, {\left(100 \, x + 271\right)} x + 4911\right)} x - 10161\right)} x - 1118349\right)} x - 610119\right)} \sqrt{2 \, x^{2} - x + 3} - \frac{9267707}{131072} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/98304*(4*(8*(20*(16*(100*x + 271)*x + 4911)*x - 10161)*x - 1118349)*x - 610119)*sqrt(2*x^2 - x + 3) - 9267707/131072*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
81,1,63,0,0.487013," ","integrate((5*x^2+3*x+2)^2/(2*x^2-x+3)^(1/2),x, algorithm=""giac"")","\frac{1}{3072} \, {\left(4 \, {\left(40 \, {\left(60 \, x + 131\right)} x + 3443\right)} x - 34119\right)} \sqrt{2 \, x^{2} - x + 3} + \frac{30725}{4096} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/3072*(4*(40*(60*x + 131)*x + 3443)*x - 34119)*sqrt(2*x^2 - x + 3) + 30725/4096*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
82,1,53,0,0.529623," ","integrate((5*x^2+3*x+2)/(2*x^2-x+3)^(1/2),x, algorithm=""giac"")","\frac{1}{16} \, \sqrt{2 \, x^{2} - x + 3} {\left(20 \, x + 39\right)} + \frac{17}{64} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right)"," ",0,"1/16*sqrt(2*x^2 - x + 3)*(20*x + 39) + 17/64*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1)","A",0
83,-2,0,0,0.000000," ","integrate(1/(5*x^2+3*x+2)/(2*x^2-x+3)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 7.57Done","F(-2)",0
84,-2,0,0,0.000000," ","integrate(1/(5*x^2+3*x+2)^2/(2*x^2-x+3)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 27.71Done","F(-2)",0
85,-2,0,0,0.000000," ","integrate(1/(5*x^2+3*x+2)^3/(2*x^2-x+3)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 42.09Done","F(-2)",0
86,1,82,0,0.250717," ","integrate((5*x^2+3*x+2)^4/(2*x^2-x+3)^(3/2),x, algorithm=""giac"")","-\frac{310445587}{262144} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right) + \frac{{\left(46 \, {\left(4 \, {\left(40 \, {\left(20 \, {\left(16 \, {\left(100 \, x + 353\right)} x + 8707\right)} x + 31341\right)} x - 14204481\right)} x - 55103493\right)} x - 8859305979\right)} x - 10961697147}{4521984 \, \sqrt{2 \, x^{2} - x + 3}}"," ",0,"-310445587/262144*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1) + 1/4521984*((46*(4*(40*(20*(16*(100*x + 353)*x + 8707)*x + 31341)*x - 14204481)*x - 55103493)*x - 8859305979)*x - 10961697147)/sqrt(2*x^2 - x + 3)","A",0
87,1,72,0,0.280678," ","integrate((5*x^2+3*x+2)^3/(2*x^2-x+3)^(3/2),x, algorithm=""giac"")","\frac{1168881}{8192} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right) + \frac{{\left(46 \, {\left(20 \, {\left(40 \, {\left(20 \, x + 63\right)} x + 2853\right)} x - 125091\right)} x + 16138403\right)} x - 15423965}{47104 \, \sqrt{2 \, x^{2} - x + 3}}"," ",0,"1168881/8192*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1) + 1/47104*((46*(20*(40*(20*x + 63)*x + 2853)*x - 125091)*x + 16138403)*x - 15423965)/sqrt(2*x^2 - x + 3)","A",0
88,1,62,0,0.237267," ","integrate((5*x^2+3*x+2)^2/(2*x^2-x+3)^(3/2),x, algorithm=""giac"")","-\frac{223}{128} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right) + \frac{{\left(230 \, {\left(20 \, x + 73\right)} x - 9421\right)} x + 47027}{736 \, \sqrt{2 \, x^{2} - x + 3}}"," ",0,"-223/128*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1) + 1/736*((230*(20*x + 73)*x - 9421)*x + 47027)/sqrt(2*x^2 - x + 3)","A",0
89,1,53,0,0.233871," ","integrate((5*x^2+3*x+2)/(2*x^2-x+3)^(3/2),x, algorithm=""giac"")","-\frac{5}{4} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right) - \frac{11 \, {\left(3 \, x + 5\right)}}{23 \, \sqrt{2 \, x^{2} - x + 3}}"," ",0,"-5/4*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1) - 11/23*(3*x + 5)/sqrt(2*x^2 - x + 3)","A",0
90,-2,0,0,0.000000," ","integrate(1/(2*x^2-x+3)^(3/2)/(5*x^2+3*x+2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 9.49Done","F(-2)",0
91,-2,0,0,0.000000," ","integrate(1/(2*x^2-x+3)^(3/2)/(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 36.15Done","F(-2)",0
92,-2,0,0,0.000000," ","integrate(1/(2*x^2-x+3)^(3/2)/(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 69.9Done","F(-2)",0
93,1,81,0,0.251614," ","integrate((5*x^2+3*x+2)^4/(2*x^2-x+3)^(5/2),x, algorithm=""giac"")","\frac{16955197}{16384} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right) + \frac{{\left({\left(4 \, {\left(2645 \, {\left(20 \, {\left(40 \, {\left(60 \, x + 247\right)} x + 16563\right)} x - 479847\right)} x + 9962225246\right)} x - 36481630395\right)} x + 49883864262\right)} x - 18974698519}{6500352 \, {\left(2 \, x^{2} - x + 3\right)}^{\frac{3}{2}}}"," ",0,"16955197/16384*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1) + 1/6500352*(((4*(2645*(20*(40*(60*x + 247)*x + 16563)*x - 479847)*x + 9962225246)*x - 36481630395)*x + 49883864262)*x - 18974698519)/(2*x^2 - x + 3)^(3/2)","A",0
94,1,72,0,0.267921," ","integrate((5*x^2+3*x+2)^3/(2*x^2-x+3)^(5/2),x, algorithm=""giac"")","-\frac{7495}{256} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right) + \frac{3 \, {\left({\left(4 \, {\left(13225 \, {\left(20 \, x + 107\right)} x - 2451998\right)} x + 33848843\right)} x - 20821094\right)} x + 89784565}{101568 \, {\left(2 \, x^{2} - x + 3\right)}^{\frac{3}{2}}}"," ",0,"-7495/256*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1) + 1/101568*(3*((4*(13225*(20*x + 107)*x - 2451998)*x + 33848843)*x - 20821094)*x + 89784565)/(2*x^2 - x + 3)^(3/2)","A",0
95,1,61,0,0.267377," ","integrate((5*x^2+3*x+2)^2/(2*x^2-x+3)^(5/2),x, algorithm=""giac"")","-\frac{25}{8} \, \sqrt{2} \log\left(-2 \, \sqrt{2} {\left(\sqrt{2} x - \sqrt{2 \, x^{2} - x + 3}\right)} + 1\right) - \frac{11 \, {\left({\left({\left(2336 \, x + 6183\right)} x + 714\right)} x + 8623\right)}}{3174 \, {\left(2 \, x^{2} - x + 3\right)}^{\frac{3}{2}}}"," ",0,"-25/8*sqrt(2)*log(-2*sqrt(2)*(sqrt(2)*x - sqrt(2*x^2 - x + 3)) + 1) - 11/3174*(((2336*x + 6183)*x + 714)*x + 8623)/(2*x^2 - x + 3)^(3/2)","A",0
96,1,29,0,0.232435," ","integrate((5*x^2+3*x+2)/(2*x^2-x+3)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, {\left(71 \, {\left(4 \, x - 3\right)} x + 335\right)} x - 952\right)}}{1587 \, {\left(2 \, x^{2} - x + 3\right)}^{\frac{3}{2}}}"," ",0,"2/1587*(3*(71*(4*x - 3)*x + 335)*x - 952)/(2*x^2 - x + 3)^(3/2)","A",0
97,-2,0,0,0.000000," ","integrate(1/(2*x^2-x+3)^(5/2)/(5*x^2+3*x+2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 16.02Done","F(-2)",0
98,-2,0,0,0.000000," ","integrate(1/(2*x^2-x+3)^(5/2)/(5*x^2+3*x+2)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 18.73Done","F(-2)",0
99,-2,0,0,0.000000," ","integrate(1/(2*x^2-x+3)^(5/2)/(5*x^2+3*x+2)^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Francis algorithm failure for[-1.0,infinity,infinity,infinity,infinity]proot error [1.0,infinity,infinity,infinity,infinity]Evaluation time: 70.56Done","F(-2)",0
100,1,638,0,0.364692," ","integrate((c*x^2+b*x+a)^(1/2)*(f*x^2+e*x+d)^2,x, algorithm=""giac"")","\frac{1}{7680} \, \sqrt{c x^{2} + b x + a} {\left(2 \, {\left(4 \, {\left(2 \, {\left(8 \, {\left(10 \, f^{2} x + \frac{b c^{4} f^{2} + 24 \, c^{5} f e}{c^{5}}\right)} x + \frac{240 \, c^{5} d f - 9 \, b^{2} c^{3} f^{2} + 20 \, a c^{4} f^{2} + 24 \, b c^{4} f e + 120 \, c^{5} e^{2}}{c^{5}}\right)} x + \frac{80 \, b c^{4} d f + 21 \, b^{3} c^{2} f^{2} - 68 \, a b c^{3} f^{2} + 640 \, c^{5} d e - 56 \, b^{2} c^{3} f e + 128 \, a c^{4} f e + 40 \, b c^{4} e^{2}}{c^{5}}\right)} x + \frac{1920 \, c^{5} d^{2} - 400 \, b^{2} c^{3} d f + 960 \, a c^{4} d f - 105 \, b^{4} c f^{2} + 448 \, a b^{2} c^{2} f^{2} - 240 \, a^{2} c^{3} f^{2} + 640 \, b c^{4} d e + 280 \, b^{3} c^{2} f e - 928 \, a b c^{3} f e - 200 \, b^{2} c^{3} e^{2} + 480 \, a c^{4} e^{2}}{c^{5}}\right)} x + \frac{1920 \, b c^{4} d^{2} + 1200 \, b^{3} c^{2} d f - 4160 \, a b c^{3} d f + 315 \, b^{5} f^{2} - 1680 \, a b^{3} c f^{2} + 1808 \, a^{2} b c^{2} f^{2} - 1920 \, b^{2} c^{3} d e + 5120 \, a c^{4} d e - 840 \, b^{4} c f e + 3680 \, a b^{2} c^{2} f e - 2048 \, a^{2} c^{3} f e + 600 \, b^{3} c^{2} e^{2} - 2080 \, a b c^{3} e^{2}}{c^{5}}\right)} + \frac{{\left(128 \, b^{2} c^{4} d^{2} - 512 \, a c^{5} d^{2} + 80 \, b^{4} c^{2} d f - 384 \, a b^{2} c^{3} d f + 256 \, a^{2} c^{4} d f + 21 \, b^{6} f^{2} - 140 \, a b^{4} c f^{2} + 240 \, a^{2} b^{2} c^{2} f^{2} - 64 \, a^{3} c^{3} f^{2} - 128 \, b^{3} c^{3} d e + 512 \, a b c^{4} d e - 56 \, b^{5} c f e + 320 \, a b^{3} c^{2} f e - 384 \, a^{2} b c^{3} f e + 40 \, b^{4} c^{2} e^{2} - 192 \, a b^{2} c^{3} e^{2} + 128 \, a^{2} c^{4} e^{2}\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} - b \right|}\right)}{1024 \, c^{\frac{11}{2}}}"," ",0,"1/7680*sqrt(c*x^2 + b*x + a)*(2*(4*(2*(8*(10*f^2*x + (b*c^4*f^2 + 24*c^5*f*e)/c^5)*x + (240*c^5*d*f - 9*b^2*c^3*f^2 + 20*a*c^4*f^2 + 24*b*c^4*f*e + 120*c^5*e^2)/c^5)*x + (80*b*c^4*d*f + 21*b^3*c^2*f^2 - 68*a*b*c^3*f^2 + 640*c^5*d*e - 56*b^2*c^3*f*e + 128*a*c^4*f*e + 40*b*c^4*e^2)/c^5)*x + (1920*c^5*d^2 - 400*b^2*c^3*d*f + 960*a*c^4*d*f - 105*b^4*c*f^2 + 448*a*b^2*c^2*f^2 - 240*a^2*c^3*f^2 + 640*b*c^4*d*e + 280*b^3*c^2*f*e - 928*a*b*c^3*f*e - 200*b^2*c^3*e^2 + 480*a*c^4*e^2)/c^5)*x + (1920*b*c^4*d^2 + 1200*b^3*c^2*d*f - 4160*a*b*c^3*d*f + 315*b^5*f^2 - 1680*a*b^3*c*f^2 + 1808*a^2*b*c^2*f^2 - 1920*b^2*c^3*d*e + 5120*a*c^4*d*e - 840*b^4*c*f*e + 3680*a*b^2*c^2*f*e - 2048*a^2*c^3*f*e + 600*b^3*c^2*e^2 - 2080*a*b*c^3*e^2)/c^5) + 1/1024*(128*b^2*c^4*d^2 - 512*a*c^5*d^2 + 80*b^4*c^2*d*f - 384*a*b^2*c^3*d*f + 256*a^2*c^4*d*f + 21*b^6*f^2 - 140*a*b^4*c*f^2 + 240*a^2*b^2*c^2*f^2 - 64*a^3*c^3*f^2 - 128*b^3*c^3*d*e + 512*a*b*c^4*d*e - 56*b^5*c*f*e + 320*a*b^3*c^2*f*e - 384*a^2*b*c^3*f*e + 40*b^4*c^2*e^2 - 192*a*b^2*c^3*e^2 + 128*a^2*c^4*e^2)*log(abs(-2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c) - b))/c^(11/2)","A",0
101,1,212,0,0.298869," ","integrate((c*x^2+b*x+a)^(1/2)*(f*x^2+e*x+d),x, algorithm=""giac"")","\frac{1}{192} \, \sqrt{c x^{2} + b x + a} {\left(2 \, {\left(4 \, {\left(6 \, f x + \frac{b c^{2} f + 8 \, c^{3} e}{c^{3}}\right)} x + \frac{48 \, c^{3} d - 5 \, b^{2} c f + 12 \, a c^{2} f + 8 \, b c^{2} e}{c^{3}}\right)} x + \frac{48 \, b c^{2} d + 15 \, b^{3} f - 52 \, a b c f - 24 \, b^{2} c e + 64 \, a c^{2} e}{c^{3}}\right)} + \frac{{\left(16 \, b^{2} c^{2} d - 64 \, a c^{3} d + 5 \, b^{4} f - 24 \, a b^{2} c f + 16 \, a^{2} c^{2} f - 8 \, b^{3} c e + 32 \, a b c^{2} e\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} - b \right|}\right)}{128 \, c^{\frac{7}{2}}}"," ",0,"1/192*sqrt(c*x^2 + b*x + a)*(2*(4*(6*f*x + (b*c^2*f + 8*c^3*e)/c^3)*x + (48*c^3*d - 5*b^2*c*f + 12*a*c^2*f + 8*b*c^2*e)/c^3)*x + (48*b*c^2*d + 15*b^3*f - 52*a*b*c*f - 24*b^2*c*e + 64*a*c^2*e)/c^3) + 1/128*(16*b^2*c^2*d - 64*a*c^3*d + 5*b^4*f - 24*a*b^2*c*f + 16*a^2*c^2*f - 8*b^3*c*e + 32*a*b*c^2*e)*log(abs(-2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c) - b))/c^(7/2)","A",0
102,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+d),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
103,-1,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+d)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
104,1,1150,0,0.598122," ","integrate((c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)^2,x, algorithm=""giac"")","\frac{1}{1720320} \, \sqrt{c x^{2} + b x + a} {\left(2 \, {\left(4 \, {\left(2 \, {\left(8 \, {\left(10 \, {\left(12 \, {\left(14 \, c f^{2} x + \frac{17 \, b c^{7} f^{2} + 32 \, c^{8} f e}{c^{7}}\right)} x + \frac{448 \, c^{8} d f + 3 \, b^{2} c^{6} f^{2} + 252 \, a c^{7} f^{2} + 480 \, b c^{7} f e + 224 \, c^{8} e^{2}}{c^{7}}\right)} x + \frac{5824 \, b c^{7} d f - 33 \, b^{3} c^{5} f^{2} + 156 \, a b c^{6} f^{2} + 5376 \, c^{8} d e + 96 \, b^{2} c^{6} f e + 6144 \, a c^{7} f e + 2912 \, b c^{7} e^{2}}{c^{7}}\right)} x + \frac{26880 \, c^{8} d^{2} + 1344 \, b^{2} c^{6} d f + 62720 \, a c^{7} d f + 297 \, b^{4} c^{4} f^{2} - 1704 \, a b^{2} c^{5} f^{2} + 1680 \, a^{2} c^{6} f^{2} + 59136 \, b c^{7} d e - 864 \, b^{3} c^{5} f e + 4224 \, a b c^{6} f e + 672 \, b^{2} c^{6} e^{2} + 31360 \, a c^{7} e^{2}}{c^{7}}\right)} x + \frac{80640 \, b c^{7} d^{2} - 3136 \, b^{3} c^{5} d f + 16128 \, a b c^{6} d f - 693 \, b^{5} c^{3} f^{2} + 4680 \, a b^{3} c^{4} f^{2} - 7248 \, a^{2} b c^{5} f^{2} + 5376 \, b^{2} c^{6} d e + 172032 \, a c^{7} d e + 2016 \, b^{4} c^{4} f e - 11904 \, a b^{2} c^{5} f e + 12288 \, a^{2} c^{6} f e - 1568 \, b^{3} c^{5} e^{2} + 8064 \, a b c^{6} e^{2}}{c^{7}}\right)} x + \frac{26880 \, b^{2} c^{6} d^{2} + 537600 \, a c^{7} d^{2} + 15680 \, b^{4} c^{4} d f - 96768 \, a b^{2} c^{5} d f + 107520 \, a^{2} c^{6} d f + 3465 \, b^{6} c^{2} f^{2} - 26964 \, a b^{4} c^{3} f^{2} + 56688 \, a^{2} b^{2} c^{4} f^{2} - 20160 \, a^{3} c^{5} f^{2} - 26880 \, b^{3} c^{5} d e + 150528 \, a b c^{6} d e - 10080 \, b^{5} c^{3} f e + 69888 \, a b^{3} c^{4} f e - 112128 \, a^{2} b c^{5} f e + 7840 \, b^{4} c^{4} e^{2} - 48384 \, a b^{2} c^{5} e^{2} + 53760 \, a^{2} c^{6} e^{2}}{c^{7}}\right)} x - \frac{80640 \, b^{3} c^{5} d^{2} - 537600 \, a b c^{6} d^{2} + 47040 \, b^{5} c^{3} d f - 340480 \, a b^{3} c^{4} d f + 580608 \, a^{2} b c^{5} d f + 10395 \, b^{7} c f^{2} - 91980 \, a b^{5} c^{2} f^{2} + 244944 \, a^{2} b^{3} c^{3} f^{2} - 176448 \, a^{3} b c^{4} f^{2} - 80640 \, b^{4} c^{4} d e + 537600 \, a b^{2} c^{5} d e - 688128 \, a^{2} c^{6} d e - 30240 \, b^{6} c^{2} f e + 241920 \, a b^{4} c^{3} f e - 526848 \, a^{2} b^{2} c^{4} f e + 196608 \, a^{3} c^{5} f e + 23520 \, b^{5} c^{3} e^{2} - 170240 \, a b^{3} c^{4} e^{2} + 290304 \, a^{2} b c^{5} e^{2}}{c^{7}}\right)} - \frac{{\left(768 \, b^{4} c^{4} d^{2} - 6144 \, a b^{2} c^{5} d^{2} + 12288 \, a^{2} c^{6} d^{2} + 448 \, b^{6} c^{2} d f - 3840 \, a b^{4} c^{3} d f + 9216 \, a^{2} b^{2} c^{4} d f - 4096 \, a^{3} c^{5} d f + 99 \, b^{8} f^{2} - 1008 \, a b^{6} c f^{2} + 3360 \, a^{2} b^{4} c^{2} f^{2} - 3840 \, a^{3} b^{2} c^{3} f^{2} + 768 \, a^{4} c^{4} f^{2} - 768 \, b^{5} c^{3} d e + 6144 \, a b^{3} c^{4} d e - 12288 \, a^{2} b c^{5} d e - 288 \, b^{7} c f e + 2688 \, a b^{5} c^{2} f e - 7680 \, a^{2} b^{3} c^{3} f e + 6144 \, a^{3} b c^{4} f e + 224 \, b^{6} c^{2} e^{2} - 1920 \, a b^{4} c^{3} e^{2} + 4608 \, a^{2} b^{2} c^{4} e^{2} - 2048 \, a^{3} c^{5} e^{2}\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} - b \right|}\right)}{32768 \, c^{\frac{13}{2}}}"," ",0,"1/1720320*sqrt(c*x^2 + b*x + a)*(2*(4*(2*(8*(10*(12*(14*c*f^2*x + (17*b*c^7*f^2 + 32*c^8*f*e)/c^7)*x + (448*c^8*d*f + 3*b^2*c^6*f^2 + 252*a*c^7*f^2 + 480*b*c^7*f*e + 224*c^8*e^2)/c^7)*x + (5824*b*c^7*d*f - 33*b^3*c^5*f^2 + 156*a*b*c^6*f^2 + 5376*c^8*d*e + 96*b^2*c^6*f*e + 6144*a*c^7*f*e + 2912*b*c^7*e^2)/c^7)*x + (26880*c^8*d^2 + 1344*b^2*c^6*d*f + 62720*a*c^7*d*f + 297*b^4*c^4*f^2 - 1704*a*b^2*c^5*f^2 + 1680*a^2*c^6*f^2 + 59136*b*c^7*d*e - 864*b^3*c^5*f*e + 4224*a*b*c^6*f*e + 672*b^2*c^6*e^2 + 31360*a*c^7*e^2)/c^7)*x + (80640*b*c^7*d^2 - 3136*b^3*c^5*d*f + 16128*a*b*c^6*d*f - 693*b^5*c^3*f^2 + 4680*a*b^3*c^4*f^2 - 7248*a^2*b*c^5*f^2 + 5376*b^2*c^6*d*e + 172032*a*c^7*d*e + 2016*b^4*c^4*f*e - 11904*a*b^2*c^5*f*e + 12288*a^2*c^6*f*e - 1568*b^3*c^5*e^2 + 8064*a*b*c^6*e^2)/c^7)*x + (26880*b^2*c^6*d^2 + 537600*a*c^7*d^2 + 15680*b^4*c^4*d*f - 96768*a*b^2*c^5*d*f + 107520*a^2*c^6*d*f + 3465*b^6*c^2*f^2 - 26964*a*b^4*c^3*f^2 + 56688*a^2*b^2*c^4*f^2 - 20160*a^3*c^5*f^2 - 26880*b^3*c^5*d*e + 150528*a*b*c^6*d*e - 10080*b^5*c^3*f*e + 69888*a*b^3*c^4*f*e - 112128*a^2*b*c^5*f*e + 7840*b^4*c^4*e^2 - 48384*a*b^2*c^5*e^2 + 53760*a^2*c^6*e^2)/c^7)*x - (80640*b^3*c^5*d^2 - 537600*a*b*c^6*d^2 + 47040*b^5*c^3*d*f - 340480*a*b^3*c^4*d*f + 580608*a^2*b*c^5*d*f + 10395*b^7*c*f^2 - 91980*a*b^5*c^2*f^2 + 244944*a^2*b^3*c^3*f^2 - 176448*a^3*b*c^4*f^2 - 80640*b^4*c^4*d*e + 537600*a*b^2*c^5*d*e - 688128*a^2*c^6*d*e - 30240*b^6*c^2*f*e + 241920*a*b^4*c^3*f*e - 526848*a^2*b^2*c^4*f*e + 196608*a^3*c^5*f*e + 23520*b^5*c^3*e^2 - 170240*a*b^3*c^4*e^2 + 290304*a^2*b*c^5*e^2)/c^7) - 1/32768*(768*b^4*c^4*d^2 - 6144*a*b^2*c^5*d^2 + 12288*a^2*c^6*d^2 + 448*b^6*c^2*d*f - 3840*a*b^4*c^3*d*f + 9216*a^2*b^2*c^4*d*f - 4096*a^3*c^5*d*f + 99*b^8*f^2 - 1008*a*b^6*c*f^2 + 3360*a^2*b^4*c^2*f^2 - 3840*a^3*b^2*c^3*f^2 + 768*a^4*c^4*f^2 - 768*b^5*c^3*d*e + 6144*a*b^3*c^4*d*e - 12288*a^2*b*c^5*d*e - 288*b^7*c*f*e + 2688*a*b^5*c^2*f*e - 7680*a^2*b^3*c^3*f*e + 6144*a^3*b*c^4*f*e + 224*b^6*c^2*e^2 - 1920*a*b^4*c^3*e^2 + 4608*a^2*b^2*c^4*e^2 - 2048*a^3*c^5*e^2)*log(abs(-2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c) - b))/c^(13/2)","B",0
105,1,417,0,0.611616," ","integrate((c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d),x, algorithm=""giac"")","\frac{1}{7680} \, \sqrt{c x^{2} + b x + a} {\left(2 \, {\left(4 \, {\left(2 \, {\left(8 \, {\left(10 \, c f x + \frac{13 \, b c^{5} f + 12 \, c^{6} e}{c^{5}}\right)} x + \frac{120 \, c^{6} d + 3 \, b^{2} c^{4} f + 140 \, a c^{5} f + 132 \, b c^{5} e}{c^{5}}\right)} x + \frac{360 \, b c^{5} d - 7 \, b^{3} c^{3} f + 36 \, a b c^{4} f + 12 \, b^{2} c^{4} e + 384 \, a c^{5} e}{c^{5}}\right)} x + \frac{120 \, b^{2} c^{4} d + 2400 \, a c^{5} d + 35 \, b^{4} c^{2} f - 216 \, a b^{2} c^{3} f + 240 \, a^{2} c^{4} f - 60 \, b^{3} c^{3} e + 336 \, a b c^{4} e}{c^{5}}\right)} x - \frac{360 \, b^{3} c^{3} d - 2400 \, a b c^{4} d + 105 \, b^{5} c f - 760 \, a b^{3} c^{2} f + 1296 \, a^{2} b c^{3} f - 180 \, b^{4} c^{2} e + 1200 \, a b^{2} c^{3} e - 1536 \, a^{2} c^{4} e}{c^{5}}\right)} - \frac{{\left(24 \, b^{4} c^{2} d - 192 \, a b^{2} c^{3} d + 384 \, a^{2} c^{4} d + 7 \, b^{6} f - 60 \, a b^{4} c f + 144 \, a^{2} b^{2} c^{2} f - 64 \, a^{3} c^{3} f - 12 \, b^{5} c e + 96 \, a b^{3} c^{2} e - 192 \, a^{2} b c^{3} e\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} - b \right|}\right)}{1024 \, c^{\frac{9}{2}}}"," ",0,"1/7680*sqrt(c*x^2 + b*x + a)*(2*(4*(2*(8*(10*c*f*x + (13*b*c^5*f + 12*c^6*e)/c^5)*x + (120*c^6*d + 3*b^2*c^4*f + 140*a*c^5*f + 132*b*c^5*e)/c^5)*x + (360*b*c^5*d - 7*b^3*c^3*f + 36*a*b*c^4*f + 12*b^2*c^4*e + 384*a*c^5*e)/c^5)*x + (120*b^2*c^4*d + 2400*a*c^5*d + 35*b^4*c^2*f - 216*a*b^2*c^3*f + 240*a^2*c^4*f - 60*b^3*c^3*e + 336*a*b*c^4*e)/c^5)*x - (360*b^3*c^3*d - 2400*a*b*c^4*d + 105*b^5*c*f - 760*a*b^3*c^2*f + 1296*a^2*b*c^3*f - 180*b^4*c^2*e + 1200*a*b^2*c^3*e - 1536*a^2*c^4*e)/c^5) - 1/1024*(24*b^4*c^2*d - 192*a*b^2*c^3*d + 384*a^2*c^4*d + 7*b^6*f - 60*a*b^4*c*f + 144*a^2*b^2*c^2*f - 64*a^3*c^3*f - 12*b^5*c*e + 96*a*b^3*c^2*e - 192*a^2*b*c^3*e)*log(abs(-2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c) - b))/c^(9/2)","A",0
106,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
107,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding error%%%{%%{[-1,0]:[1,0,%%%{-1,[1]%%%}]%%},[8,4,8,0,0,0]%%%}+%%%{%%{[%%%{16,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,4,6,0,1,0]%%%}+%%%{%%{[%%%{-96,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,4,4,0,2,0]%%%}+%%%{%%{[%%%{256,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,4,2,0,3,0]%%%}+%%%{%%{[%%%{-256,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[8,4,0,0,4,0]%%%}+%%%{%%%{4,[1]%%%},[7,3,8,1,0,0]%%%}+%%%{%%%{-64,[2]%%%},[7,3,6,1,1,0]%%%}+%%%{%%%{384,[3]%%%},[7,3,4,1,2,0]%%%}+%%%{%%%{-1024,[4]%%%},[7,3,2,1,3,0]%%%}+%%%{%%%{1024,[5]%%%},[7,3,0,1,4,0]%%%}+%%%{%%{[4,0]:[1,0,%%%{-1,[1]%%%}]%%},[6,4,8,0,1,0]%%%}+%%%{%%{[%%%{-64,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,4,6,0,2,0]%%%}+%%%{%%{[%%%{384,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,4,4,0,3,0]%%%}+%%%{%%{[%%%{-1024,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,4,2,0,4,0]%%%}+%%%{%%{[%%%{1024,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,4,0,0,5,0]%%%}+%%%{%%{[-2,0]:[1,0,%%%{-1,[1]%%%}]%%},[6,3,9,1,0,0]%%%}+%%%{%%{[%%%{-8,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,3,8,0,0,1]%%%}+%%%{%%{[%%%{32,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,3,7,1,1,0]%%%}+%%%{%%{[%%%{128,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,3,6,0,1,1]%%%}+%%%{%%{[%%%{-192,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,3,5,1,2,0]%%%}+%%%{%%{[%%%{-768,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,3,4,0,2,1]%%%}+%%%{%%{[%%%{512,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,3,3,1,3,0]%%%}+%%%{%%{[%%%{2048,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,3,2,0,3,1]%%%}+%%%{%%{[%%%{-512,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,3,1,1,4,0]%%%}+%%%{%%{[%%%{-2048,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,3,0,0,4,1]%%%}+%%%{%%{[%%%{-4,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,2,8,2,0,0]%%%}+%%%{%%{[%%%{64,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,2,6,2,1,0]%%%}+%%%{%%{[%%%{-384,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,2,4,2,2,0]%%%}+%%%{%%{[%%%{1024,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,2,2,2,3,0]%%%}+%%%{%%{[%%%{-1024,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[6,2,0,2,4,0]%%%}+%%%{%%%{8,[1]%%%},[5,3,9,0,0,1]%%%}+%%%{%%%{-12,[1]%%%},[5,3,8,1,1,0]%%%}+%%%{%%%{-128,[2]%%%},[5,3,7,0,1,1]%%%}+%%%{%%%{192,[2]%%%},[5,3,6,1,2,0]%%%}+%%%{%%%{768,[3]%%%},[5,3,5,0,2,1]%%%}+%%%{%%%{-1152,[3]%%%},[5,3,4,1,3,0]%%%}+%%%{%%%{-2048,[4]%%%},[5,3,3,0,3,1]%%%}+%%%{%%%{3072,[4]%%%},[5,3,2,1,4,0]%%%}+%%%{%%%{2048,[5]%%%},[5,3,1,0,4,1]%%%}+%%%{%%%{-3072,[5]%%%},[5,3,0,1,5,0]%%%}+%%%{%%%{4,[1]%%%},[5,2,9,2,0,0]%%%}+%%%{%%%{16,[2]%%%},[5,2,8,1,0,1]%%%}+%%%{%%%{-64,[2]%%%},[5,2,7,2,1,0]%%%}+%%%{%%%{-256,[3]%%%},[5,2,6,1,1,1]%%%}+%%%{%%%{384,[3]%%%},[5,2,5,2,2,0]%%%}+%%%{%%%{1536,[4]%%%},[5,2,4,1,2,1]%%%}+%%%{%%%{-1024,[4]%%%},[5,2,3,2,3,0]%%%}+%%%{%%%{-4096,[5]%%%},[5,2,2,1,3,1]%%%}+%%%{%%%{1024,[5]%%%},[5,2,1,2,4,0]%%%}+%%%{%%%{4096,[6]%%%},[5,2,0,1,4,1]%%%}+%%%{%%{[-6,0]:[1,0,%%%{-1,[1]%%%}]%%},[4,4,8,0,2,0]%%%}+%%%{%%{[%%%{96,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,4,6,0,3,0]%%%}+%%%{%%{[%%%{-576,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,4,4,0,4,0]%%%}+%%%{%%{[%%%{1536,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,4,2,0,5,0]%%%}+%%%{%%{[%%%{-1536,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,4,0,0,6,0]%%%}+%%%{%%{[-2,0]:[1,0,%%%{-1,[1]%%%}]%%},[4,3,10,0,0,1]%%%}+%%%{%%{[6,0]:[1,0,%%%{-1,[1]%%%}]%%},[4,3,9,1,1,0]%%%}+%%%{%%{[%%%{48,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,3,8,0,1,1]%%%}+%%%{%%{[%%%{-96,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,3,7,1,2,0]%%%}+%%%{%%{[%%%{-448,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,3,6,0,2,1]%%%}+%%%{%%{[%%%{576,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,3,5,1,3,0]%%%}+%%%{%%{[%%%{2048,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,3,4,0,3,1]%%%}+%%%{%%{[%%%{-1536,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,3,3,1,4,0]%%%}+%%%{%%{[%%%{-4608,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,3,2,0,4,1]%%%}+%%%{%%{[%%%{1536,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,3,1,1,5,0]%%%}+%%%{%%{[%%%{4096,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,3,0,0,5,1]%%%}+%%%{%%{[-1,0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,10,2,0,0]%%%}+%%%{%%{[%%%{-24,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,9,1,0,1]%%%}+%%%{%%{[%%%{24,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,8,2,1,0]%%%}+%%%{%%{[%%%{-16,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,8,0,0,2]%%%}+%%%{%%{[%%%{384,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,7,1,1,1]%%%}+%%%{%%{[%%%{-224,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,6,2,2,0]%%%}+%%%{%%{[%%%{256,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,6,0,1,2]%%%}+%%%{%%{[%%%{-2304,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,5,1,2,1]%%%}+%%%{%%{[%%%{1024,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,4,2,3,0]%%%}+%%%{%%{[%%%{-1536,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,4,0,2,2]%%%}+%%%{%%{[%%%{6144,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,3,1,3,1]%%%}+%%%{%%{[%%%{-2304,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,2,2,4,0]%%%}+%%%{%%{[%%%{4096,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,2,0,3,2]%%%}+%%%{%%{[%%%{-6144,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,1,1,4,1]%%%}+%%%{%%{[%%%{2048,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,0,2,5,0]%%%}+%%%{%%{[%%%{-4096,[6]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[4,2,0,0,4,2]%%%}+%%%{%%%{-16,[1]%%%},[3,3,9,0,1,1]%%%}+%%%{%%%{12,[1]%%%},[3,3,8,1,2,0]%%%}+%%%{%%%{256,[2]%%%},[3,3,7,0,2,1]%%%}+%%%{%%%{-192,[2]%%%},[3,3,6,1,3,0]%%%}+%%%{%%%{-1536,[3]%%%},[3,3,5,0,3,1]%%%}+%%%{%%%{1152,[3]%%%},[3,3,4,1,4,0]%%%}+%%%{%%%{4096,[4]%%%},[3,3,3,0,4,1]%%%}+%%%{%%%{-3072,[4]%%%},[3,3,2,1,5,0]%%%}+%%%{%%%{-4096,[5]%%%},[3,3,1,0,5,1]%%%}+%%%{%%%{3072,[5]%%%},[3,3,0,1,6,0]%%%}+%%%{%%%{12,[1]%%%},[3,2,10,1,0,1]%%%}+%%%{%%%{-8,[1]%%%},[3,2,9,2,1,0]%%%}+%%%{%%%{32,[2]%%%},[3,2,9,0,0,2]%%%}+%%%{%%%{-208,[2]%%%},[3,2,8,1,1,1]%%%}+%%%{%%%{128,[2]%%%},[3,2,7,2,2,0]%%%}+%%%{%%%{-512,[3]%%%},[3,2,7,0,1,2]%%%}+%%%{%%%{1408,[3]%%%},[3,2,6,1,2,1]%%%}+%%%{%%%{-768,[3]%%%},[3,2,5,2,3,0]%%%}+%%%{%%%{3072,[4]%%%},[3,2,5,0,2,2]%%%}+%%%{%%%{-4608,[4]%%%},[3,2,4,1,3,1]%%%}+%%%{%%%{2048,[4]%%%},[3,2,3,2,4,0]%%%}+%%%{%%%{-8192,[5]%%%},[3,2,3,0,3,2]%%%}+%%%{%%%{7168,[5]%%%},[3,2,2,1,4,1]%%%}+%%%{%%%{-2048,[5]%%%},[3,2,1,2,5,0]%%%}+%%%{%%%{8192,[6]%%%},[3,2,1,0,4,2]%%%}+%%%{%%%{-4096,[6]%%%},[3,2,0,1,5,1]%%%}+%%%{%%{[4,0]:[1,0,%%%{-1,[1]%%%}]%%},[2,4,8,0,3,0]%%%}+%%%{%%{[%%%{-64,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,4,6,0,4,0]%%%}+%%%{%%{[%%%{384,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,4,4,0,5,0]%%%}+%%%{%%{[%%%{-1024,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,4,2,0,6,0]%%%}+%%%{%%{[%%%{1024,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,4,0,0,7,0]%%%}+%%%{%%{[4,0]:[1,0,%%%{-1,[1]%%%}]%%},[2,3,10,0,1,1]%%%}+%%%{%%{[-6,0]:[1,0,%%%{-1,[1]%%%}]%%},[2,3,9,1,2,0]%%%}+%%%{%%{[%%%{-72,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,3,8,0,2,1]%%%}+%%%{%%{[%%%{96,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,3,7,1,3,0]%%%}+%%%{%%{[%%%{512,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,3,6,0,3,1]%%%}+%%%{%%{[%%%{-576,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,3,5,1,4,0]%%%}+%%%{%%{[%%%{-1792,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,3,4,0,4,1]%%%}+%%%{%%{[%%%{1536,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,3,3,1,5,0]%%%}+%%%{%%{[%%%{3072,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,3,2,0,5,1]%%%}+%%%{%%{[%%%{-1536,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,3,1,1,6,0]%%%}+%%%{%%{[%%%{-2048,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,3,0,0,6,1]%%%}+%%%{%%{[-2,0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,11,1,0,1]%%%}+%%%{%%{[2,0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,10,2,1,0]%%%}+%%%{%%{[%%%{-24,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,10,0,0,2]%%%}+%%%{%%{[%%%{56,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,9,1,1,1]%%%}+%%%{%%{[%%%{-36,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,8,2,2,0]%%%}+%%%{%%{[%%%{384,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,8,0,1,2]%%%}+%%%{%%{[%%%{-576,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,7,1,2,1]%%%}+%%%{%%{[%%%{256,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,6,2,3,0]%%%}+%%%{%%{[%%%{-2304,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,6,0,2,2]%%%}+%%%{%%{[%%%{2816,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,5,1,3,1]%%%}+%%%{%%{[%%%{-896,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,4,2,4,0]%%%}+%%%{%%{[%%%{6144,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,4,0,3,2]%%%}+%%%{%%{[%%%{-6656,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,3,1,4,1]%%%}+%%%{%%{[%%%{1536,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,2,2,5,0]%%%}+%%%{%%{[%%%{-6144,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,2,0,4,2]%%%}+%%%{%%{[%%%{6144,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,1,1,5,1]%%%}+%%%{%%{[%%%{-1024,[5]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[2,2,0,2,6,0]%%%}+%%%{%%%{8,[1]%%%},[1,3,9,0,2,1]%%%}+%%%{%%%{-4,[1]%%%},[1,3,8,1,3,0]%%%}+%%%{%%%{-128,[2]%%%},[1,3,7,0,3,1]%%%}+%%%{%%%{64,[2]%%%},[1,3,6,1,4,0]%%%}+%%%{%%%{768,[3]%%%},[1,3,5,0,4,1]%%%}+%%%{%%%{-384,[3]%%%},[1,3,4,1,5,0]%%%}+%%%{%%%{-2048,[4]%%%},[1,3,3,0,5,1]%%%}+%%%{%%%{1024,[4]%%%},[1,3,2,1,6,0]%%%}+%%%{%%%{2048,[5]%%%},[1,3,1,0,6,1]%%%}+%%%{%%%{-1024,[5]%%%},[1,3,0,1,7,0]%%%}+%%%{%%%{8,[1]%%%},[1,2,11,0,0,2]%%%}+%%%{%%%{-12,[1]%%%},[1,2,10,1,1,1]%%%}+%%%{%%%{4,[1]%%%},[1,2,9,2,2,0]%%%}+%%%{%%%{-128,[2]%%%},[1,2,9,0,1,2]%%%}+%%%{%%%{192,[2]%%%},[1,2,8,1,2,1]%%%}+%%%{%%%{-64,[2]%%%},[1,2,7,2,3,0]%%%}+%%%{%%%{768,[3]%%%},[1,2,7,0,2,2]%%%}+%%%{%%%{-1152,[3]%%%},[1,2,6,1,3,1]%%%}+%%%{%%%{384,[3]%%%},[1,2,5,2,4,0]%%%}+%%%{%%%{-2048,[4]%%%},[1,2,5,0,3,2]%%%}+%%%{%%%{3072,[4]%%%},[1,2,4,1,4,1]%%%}+%%%{%%%{-1024,[4]%%%},[1,2,3,2,5,0]%%%}+%%%{%%%{2048,[5]%%%},[1,2,3,0,4,2]%%%}+%%%{%%%{-3072,[5]%%%},[1,2,2,1,5,1]%%%}+%%%{%%%{1024,[5]%%%},[1,2,1,2,6,0]%%%}+%%%{%%{[-1,0]:[1,0,%%%{-1,[1]%%%}]%%},[0,4,8,0,4,0]%%%}+%%%{%%{[%%%{16,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,4,6,0,5,0]%%%}+%%%{%%{[%%%{-96,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,4,4,0,6,0]%%%}+%%%{%%{[%%%{256,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,4,2,0,7,0]%%%}+%%%{%%{[%%%{-256,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,4,0,0,8,0]%%%}+%%%{%%{[-2,0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3,10,0,2,1]%%%}+%%%{%%{[2,0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3,9,1,3,0]%%%}+%%%{%%{[%%%{32,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3,8,0,3,1]%%%}+%%%{%%{[%%%{-32,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3,7,1,4,0]%%%}+%%%{%%{[%%%{-192,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3,6,0,4,1]%%%}+%%%{%%{[%%%{192,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3,5,1,5,0]%%%}+%%%{%%{[%%%{512,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3,4,0,5,1]%%%}+%%%{%%{[%%%{-512,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3,3,1,6,0]%%%}+%%%{%%{[%%%{-512,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3,2,0,6,1]%%%}+%%%{%%{[%%%{512,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,3,1,1,7,0]%%%}+%%%{%%{[-1,0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,12,0,0,2]%%%}+%%%{%%{[2,0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,11,1,1,1]%%%}+%%%{%%{[-1,0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,10,2,2,0]%%%}+%%%{%%{[%%%{16,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,10,0,1,2]%%%}+%%%{%%{[%%%{-32,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,9,1,2,1]%%%}+%%%{%%{[%%%{16,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,8,2,3,0]%%%}+%%%{%%{[%%%{-96,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,8,0,2,2]%%%}+%%%{%%{[%%%{192,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,7,1,3,1]%%%}+%%%{%%{[%%%{-96,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,6,2,4,0]%%%}+%%%{%%{[%%%{256,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,6,0,3,2]%%%}+%%%{%%{[%%%{-512,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,5,1,4,1]%%%}+%%%{%%{[%%%{256,[3]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,4,2,5,0]%%%}+%%%{%%{[%%%{-256,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,4,0,4,2]%%%}+%%%{%%{[%%%{512,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,3,1,5,1]%%%}+%%%{%%{[%%%{-256,[4]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[0,2,2,2,6,0]%%%} / %%%{%%%{1,[1]%%%},[8,2,0,0,0,0]%%%}+%%%{%%{poly1[%%%{-4,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[7,1,0,1,0,0]%%%}+%%%{%%%{-4,[1]%%%},[6,2,0,0,1,0]%%%}+%%%{%%%{2,[1]%%%},[6,1,1,1,0,0]%%%}+%%%{%%%{8,[2]%%%},[6,1,0,0,0,1]%%%}+%%%{%%%{4,[2]%%%},[6,0,0,2,0,0]%%%}+%%%{%%{poly1[%%%{-8,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,1,1,0,0,1]%%%}+%%%{%%{poly1[%%%{12,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,1,0,1,1,0]%%%}+%%%{%%{poly1[%%%{-4,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,0,1,2,0,0]%%%}+%%%{%%{poly1[%%%{-16,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[5,0,0,1,0,1]%%%}+%%%{%%%{6,[1]%%%},[4,2,0,0,2,0]%%%}+%%%{%%%{2,[1]%%%},[4,1,2,0,0,1]%%%}+%%%{%%%{-6,[1]%%%},[4,1,1,1,1,0]%%%}+%%%{%%%{-16,[2]%%%},[4,1,0,0,1,1]%%%}+%%%{%%%{1,[1]%%%},[4,0,2,2,0,0]%%%}+%%%{%%%{24,[2]%%%},[4,0,1,1,0,1]%%%}+%%%{%%%{-8,[2]%%%},[4,0,0,2,1,0]%%%}+%%%{%%%{16,[3]%%%},[4,0,0,0,0,2]%%%}+%%%{%%{poly1[%%%{16,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,1,1,0,1,1]%%%}+%%%{%%{poly1[%%%{-12,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,1,0,1,2,0]%%%}+%%%{%%{poly1[%%%{-12,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,2,1,0,1]%%%}+%%%{%%{poly1[%%%{8,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,1,2,1,0]%%%}+%%%{%%{poly1[%%%{-32,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,1,0,0,2]%%%}+%%%{%%{poly1[%%%{16,[2]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[3,0,0,1,1,1]%%%}+%%%{%%%{-4,[1]%%%},[2,2,0,0,3,0]%%%}+%%%{%%%{-4,[1]%%%},[2,1,2,0,1,1]%%%}+%%%{%%%{6,[1]%%%},[2,1,1,1,2,0]%%%}+%%%{%%%{8,[2]%%%},[2,1,0,0,2,1]%%%}+%%%{%%%{2,[1]%%%},[2,0,3,1,0,1]%%%}+%%%{%%%{-2,[1]%%%},[2,0,2,2,1,0]%%%}+%%%{%%%{24,[2]%%%},[2,0,2,0,0,2]%%%}+%%%{%%%{-24,[2]%%%},[2,0,1,1,1,1]%%%}+%%%{%%%{4,[2]%%%},[2,0,0,2,2,0]%%%}+%%%{%%{poly1[%%%{-8,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1,1,0,2,1]%%%}+%%%{%%{poly1[%%%{4,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1,0,1,3,0]%%%}+%%%{%%{poly1[%%%{-8,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,3,0,0,2]%%%}+%%%{%%{poly1[%%%{12,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,2,1,1,1]%%%}+%%%{%%{poly1[%%%{-4,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,0,1,2,2,0]%%%}+%%%{%%%{1,[1]%%%},[0,2,0,0,4,0]%%%}+%%%{%%%{2,[1]%%%},[0,1,2,0,2,1]%%%}+%%%{%%%{-2,[1]%%%},[0,1,1,1,3,0]%%%}+%%%{%%%{1,[1]%%%},[0,0,4,0,0,2]%%%}+%%%{%%%{-2,[1]%%%},[0,0,3,1,1,1]%%%}+%%%{%%%{1,[1]%%%},[0,0,2,2,2,0]%%%} Error: Bad Argument Value","F(-2)",0
108,-1,0,0,0.000000," ","integrate((c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
109,1,824,0,0.527538," ","integrate((f*x^2+e*x+d)^3/(c*x^2+b*x+a)^(1/2),x, algorithm=""giac"")","\frac{1}{7680} \, \sqrt{c x^{2} + b x + a} {\left(2 \, {\left(4 \, {\left(2 \, {\left(8 \, {\left(\frac{10 \, f^{3} x}{c} - \frac{11 \, b c^{4} f^{3} - 36 \, c^{5} f^{2} e}{c^{6}}\right)} x + \frac{360 \, c^{5} d f^{2} + 99 \, b^{2} c^{3} f^{3} - 100 \, a c^{4} f^{3} - 324 \, b c^{4} f^{2} e + 360 \, c^{5} f e^{2}}{c^{6}}\right)} x - \frac{840 \, b c^{4} d f^{2} + 231 \, b^{3} c^{2} f^{3} - 468 \, a b c^{3} f^{3} - 1920 \, c^{5} d f e - 756 \, b^{2} c^{3} f^{2} e + 768 \, a c^{4} f^{2} e + 840 \, b c^{4} f e^{2} - 320 \, c^{5} e^{3}}{c^{6}}\right)} x + \frac{5760 \, c^{5} d^{2} f + 4200 \, b^{2} c^{3} d f^{2} - 4320 \, a c^{4} d f^{2} + 1155 \, b^{4} c f^{3} - 3528 \, a b^{2} c^{2} f^{3} + 1200 \, a^{2} c^{3} f^{3} - 9600 \, b c^{4} d f e - 3780 \, b^{3} c^{2} f^{2} e + 7728 \, a b c^{3} f^{2} e + 5760 \, c^{5} d e^{2} + 4200 \, b^{2} c^{3} f e^{2} - 4320 \, a c^{4} f e^{2} - 1600 \, b c^{4} e^{3}}{c^{6}}\right)} x - \frac{17280 \, b c^{4} d^{2} f + 12600 \, b^{3} c^{2} d f^{2} - 26400 \, a b c^{3} d f^{2} + 3465 \, b^{5} f^{3} - 14280 \, a b^{3} c f^{3} + 11088 \, a^{2} b c^{2} f^{3} - 23040 \, c^{5} d^{2} e - 28800 \, b^{2} c^{3} d f e + 30720 \, a c^{4} d f e - 11340 \, b^{4} c f^{2} e + 35280 \, a b^{2} c^{2} f^{2} e - 12288 \, a^{2} c^{3} f^{2} e + 17280 \, b c^{4} d e^{2} + 12600 \, b^{3} c^{2} f e^{2} - 26400 \, a b c^{3} f e^{2} - 4800 \, b^{2} c^{3} e^{3} + 5120 \, a c^{4} e^{3}}{c^{6}}\right)} - \frac{{\left(1024 \, c^{6} d^{3} + 1152 \, b^{2} c^{4} d^{2} f - 1536 \, a c^{5} d^{2} f + 840 \, b^{4} c^{2} d f^{2} - 2880 \, a b^{2} c^{3} d f^{2} + 1152 \, a^{2} c^{4} d f^{2} + 231 \, b^{6} f^{3} - 1260 \, a b^{4} c f^{3} + 1680 \, a^{2} b^{2} c^{2} f^{3} - 320 \, a^{3} c^{3} f^{3} - 1536 \, b c^{5} d^{2} e - 1920 \, b^{3} c^{3} d f e + 4608 \, a b c^{4} d f e - 756 \, b^{5} c f^{2} e + 3360 \, a b^{3} c^{2} f^{2} e - 2880 \, a^{2} b c^{3} f^{2} e + 1152 \, b^{2} c^{4} d e^{2} - 1536 \, a c^{5} d e^{2} + 840 \, b^{4} c^{2} f e^{2} - 2880 \, a b^{2} c^{3} f e^{2} + 1152 \, a^{2} c^{4} f e^{2} - 320 \, b^{3} c^{3} e^{3} + 768 \, a b c^{4} e^{3}\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} - b \right|}\right)}{1024 \, c^{\frac{13}{2}}}"," ",0,"1/7680*sqrt(c*x^2 + b*x + a)*(2*(4*(2*(8*(10*f^3*x/c - (11*b*c^4*f^3 - 36*c^5*f^2*e)/c^6)*x + (360*c^5*d*f^2 + 99*b^2*c^3*f^3 - 100*a*c^4*f^3 - 324*b*c^4*f^2*e + 360*c^5*f*e^2)/c^6)*x - (840*b*c^4*d*f^2 + 231*b^3*c^2*f^3 - 468*a*b*c^3*f^3 - 1920*c^5*d*f*e - 756*b^2*c^3*f^2*e + 768*a*c^4*f^2*e + 840*b*c^4*f*e^2 - 320*c^5*e^3)/c^6)*x + (5760*c^5*d^2*f + 4200*b^2*c^3*d*f^2 - 4320*a*c^4*d*f^2 + 1155*b^4*c*f^3 - 3528*a*b^2*c^2*f^3 + 1200*a^2*c^3*f^3 - 9600*b*c^4*d*f*e - 3780*b^3*c^2*f^2*e + 7728*a*b*c^3*f^2*e + 5760*c^5*d*e^2 + 4200*b^2*c^3*f*e^2 - 4320*a*c^4*f*e^2 - 1600*b*c^4*e^3)/c^6)*x - (17280*b*c^4*d^2*f + 12600*b^3*c^2*d*f^2 - 26400*a*b*c^3*d*f^2 + 3465*b^5*f^3 - 14280*a*b^3*c*f^3 + 11088*a^2*b*c^2*f^3 - 23040*c^5*d^2*e - 28800*b^2*c^3*d*f*e + 30720*a*c^4*d*f*e - 11340*b^4*c*f^2*e + 35280*a*b^2*c^2*f^2*e - 12288*a^2*c^3*f^2*e + 17280*b*c^4*d*e^2 + 12600*b^3*c^2*f*e^2 - 26400*a*b*c^3*f*e^2 - 4800*b^2*c^3*e^3 + 5120*a*c^4*e^3)/c^6) - 1/1024*(1024*c^6*d^3 + 1152*b^2*c^4*d^2*f - 1536*a*c^5*d^2*f + 840*b^4*c^2*d*f^2 - 2880*a*b^2*c^3*d*f^2 + 1152*a^2*c^4*d*f^2 + 231*b^6*f^3 - 1260*a*b^4*c*f^3 + 1680*a^2*b^2*c^2*f^3 - 320*a^3*c^3*f^3 - 1536*b*c^5*d^2*e - 1920*b^3*c^3*d*f*e + 4608*a*b*c^4*d*f*e - 756*b^5*c*f^2*e + 3360*a*b^3*c^2*f^2*e - 2880*a^2*b*c^3*f^2*e + 1152*b^2*c^4*d*e^2 - 1536*a*c^5*d*e^2 + 840*b^4*c^2*f*e^2 - 2880*a*b^2*c^3*f*e^2 + 1152*a^2*c^4*f*e^2 - 320*b^3*c^3*e^3 + 768*a*b*c^4*e^3)*log(abs(-2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c) - b))/c^(13/2)","A",0
110,1,304,0,0.632097," ","integrate((f*x^2+e*x+d)^2/(c*x^2+b*x+a)^(1/2),x, algorithm=""giac"")","\frac{1}{192} \, \sqrt{c x^{2} + b x + a} {\left(2 \, {\left(4 \, {\left(\frac{6 \, f^{2} x}{c} - \frac{7 \, b c^{2} f^{2} - 16 \, c^{3} f e}{c^{4}}\right)} x + \frac{96 \, c^{3} d f + 35 \, b^{2} c f^{2} - 36 \, a c^{2} f^{2} - 80 \, b c^{2} f e + 48 \, c^{3} e^{2}}{c^{4}}\right)} x - \frac{288 \, b c^{2} d f + 105 \, b^{3} f^{2} - 220 \, a b c f^{2} - 384 \, c^{3} d e - 240 \, b^{2} c f e + 256 \, a c^{2} f e + 144 \, b c^{2} e^{2}}{c^{4}}\right)} - \frac{{\left(128 \, c^{4} d^{2} + 96 \, b^{2} c^{2} d f - 128 \, a c^{3} d f + 35 \, b^{4} f^{2} - 120 \, a b^{2} c f^{2} + 48 \, a^{2} c^{2} f^{2} - 128 \, b c^{3} d e - 80 \, b^{3} c f e + 192 \, a b c^{2} f e + 48 \, b^{2} c^{2} e^{2} - 64 \, a c^{3} e^{2}\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} - b \right|}\right)}{128 \, c^{\frac{9}{2}}}"," ",0,"1/192*sqrt(c*x^2 + b*x + a)*(2*(4*(6*f^2*x/c - (7*b*c^2*f^2 - 16*c^3*f*e)/c^4)*x + (96*c^3*d*f + 35*b^2*c*f^2 - 36*a*c^2*f^2 - 80*b*c^2*f*e + 48*c^3*e^2)/c^4)*x - (288*b*c^2*d*f + 105*b^3*f^2 - 220*a*b*c*f^2 - 384*c^3*d*e - 240*b^2*c*f*e + 256*a*c^2*f*e + 144*b*c^2*e^2)/c^4) - 1/128*(128*c^4*d^2 + 96*b^2*c^2*d*f - 128*a*c^3*d*f + 35*b^4*f^2 - 120*a*b^2*c*f^2 + 48*a^2*c^2*f^2 - 128*b*c^3*d*e - 80*b^3*c*f*e + 192*a*b*c^2*f*e + 48*b^2*c^2*e^2 - 64*a*c^3*e^2)*log(abs(-2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c) - b))/c^(9/2)","A",0
111,1,98,0,0.498894," ","integrate((f*x^2+e*x+d)/(c*x^2+b*x+a)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{c x^{2} + b x + a} {\left(\frac{2 \, f x}{c} - \frac{3 \, b f - 4 \, c e}{c^{2}}\right)} - \frac{{\left(8 \, c^{2} d + 3 \, b^{2} f - 4 \, a c f - 4 \, b c e\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} - b \right|}\right)}{8 \, c^{\frac{5}{2}}}"," ",0,"1/4*sqrt(c*x^2 + b*x + a)*(2*f*x/c - (3*b*f - 4*c*e)/c^2) - 1/8*(8*c^2*d + 3*b^2*f - 4*a*c*f - 4*b*c*e)*log(abs(-2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c) - b))/c^(5/2)","A",0
112,-1,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+d),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
113,-1,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+d)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
114,1,1099,0,0.423383," ","integrate((f*x^2+e*x+d)^3/(c*x^2+b*x+a)^(3/2),x, algorithm=""giac"")","\frac{{\left({\left(2 \, {\left(4 \, {\left(\frac{2 \, {\left(b^{2} c^{4} f^{3} - 4 \, a c^{5} f^{3}\right)} x}{b^{2} c^{5} - 4 \, a c^{6}} - \frac{3 \, b^{3} c^{3} f^{3} - 12 \, a b c^{4} f^{3} - 8 \, b^{2} c^{4} f^{2} e + 32 \, a c^{5} f^{2} e}{b^{2} c^{5} - 4 \, a c^{6}}\right)} x + \frac{48 \, b^{2} c^{4} d f^{2} - 192 \, a c^{5} d f^{2} + 21 \, b^{4} c^{2} f^{3} - 104 \, a b^{2} c^{3} f^{3} + 80 \, a^{2} c^{4} f^{3} - 56 \, b^{3} c^{3} f^{2} e + 224 \, a b c^{4} f^{2} e + 48 \, b^{2} c^{4} f e^{2} - 192 \, a c^{5} f e^{2}}{b^{2} c^{5} - 4 \, a c^{6}}\right)} x - \frac{240 \, b^{3} c^{3} d f^{2} - 960 \, a b c^{4} d f^{2} + 105 \, b^{5} c f^{3} - 616 \, a b^{3} c^{2} f^{3} + 784 \, a^{2} b c^{3} f^{3} - 384 \, b^{2} c^{4} d f e + 1536 \, a c^{5} d f e - 280 \, b^{4} c^{2} f^{2} e + 1376 \, a b^{2} c^{3} f^{2} e - 1024 \, a^{2} c^{4} f^{2} e + 240 \, b^{3} c^{3} f e^{2} - 960 \, a b c^{4} f e^{2} - 64 \, b^{2} c^{4} e^{3} + 256 \, a c^{5} e^{3}}{b^{2} c^{5} - 4 \, a c^{6}}\right)} x - \frac{256 \, c^{6} d^{3} + 384 \, b^{2} c^{4} d^{2} f - 768 \, a c^{5} d^{2} f + 720 \, b^{4} c^{2} d f^{2} - 2976 \, a b^{2} c^{3} d f^{2} + 1152 \, a^{2} c^{4} d f^{2} + 315 \, b^{6} f^{3} - 1890 \, a b^{4} c f^{3} + 2704 \, a^{2} b^{2} c^{2} f^{3} - 480 \, a^{3} c^{3} f^{3} - 384 \, b c^{5} d^{2} e - 1152 \, b^{3} c^{3} d f e + 3840 \, a b c^{4} d f e - 840 \, b^{5} c f^{2} e + 4240 \, a b^{3} c^{2} f^{2} e - 3904 \, a^{2} b c^{3} f^{2} e + 384 \, b^{2} c^{4} d e^{2} - 768 \, a c^{5} d e^{2} + 720 \, b^{4} c^{2} f e^{2} - 2976 \, a b^{2} c^{3} f e^{2} + 1152 \, a^{2} c^{4} f e^{2} - 192 \, b^{3} c^{3} e^{3} + 640 \, a b c^{4} e^{3}}{b^{2} c^{5} - 4 \, a c^{6}}\right)} x - \frac{128 \, b c^{5} d^{3} + 384 \, a b c^{4} d^{2} f + 720 \, a b^{3} c^{2} d f^{2} - 2496 \, a^{2} b c^{3} d f^{2} + 315 \, a b^{5} f^{3} - 1680 \, a^{2} b^{3} c f^{3} + 1808 \, a^{3} b c^{2} f^{3} - 768 \, a c^{5} d^{2} e - 1152 \, a b^{2} c^{3} d f e + 3072 \, a^{2} c^{4} d f e - 840 \, a b^{4} c f^{2} e + 3680 \, a^{2} b^{2} c^{2} f^{2} e - 2048 \, a^{3} c^{3} f^{2} e + 384 \, a b c^{4} d e^{2} + 720 \, a b^{3} c^{2} f e^{2} - 2496 \, a^{2} b c^{3} f e^{2} - 192 \, a b^{2} c^{3} e^{3} + 512 \, a^{2} c^{4} e^{3}}{b^{2} c^{5} - 4 \, a c^{6}}}{64 \, \sqrt{c x^{2} + b x + a}} - \frac{3 \, {\left(128 \, c^{4} d^{2} f + 240 \, b^{2} c^{2} d f^{2} - 192 \, a c^{3} d f^{2} + 105 \, b^{4} f^{3} - 280 \, a b^{2} c f^{3} + 80 \, a^{2} c^{2} f^{3} - 384 \, b c^{3} d f e - 280 \, b^{3} c f^{2} e + 480 \, a b c^{2} f^{2} e + 128 \, c^{4} d e^{2} + 240 \, b^{2} c^{2} f e^{2} - 192 \, a c^{3} f e^{2} - 64 \, b c^{3} e^{3}\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} - b \right|}\right)}{128 \, c^{\frac{11}{2}}}"," ",0,"1/64*(((2*(4*(2*(b^2*c^4*f^3 - 4*a*c^5*f^3)*x/(b^2*c^5 - 4*a*c^6) - (3*b^3*c^3*f^3 - 12*a*b*c^4*f^3 - 8*b^2*c^4*f^2*e + 32*a*c^5*f^2*e)/(b^2*c^5 - 4*a*c^6))*x + (48*b^2*c^4*d*f^2 - 192*a*c^5*d*f^2 + 21*b^4*c^2*f^3 - 104*a*b^2*c^3*f^3 + 80*a^2*c^4*f^3 - 56*b^3*c^3*f^2*e + 224*a*b*c^4*f^2*e + 48*b^2*c^4*f*e^2 - 192*a*c^5*f*e^2)/(b^2*c^5 - 4*a*c^6))*x - (240*b^3*c^3*d*f^2 - 960*a*b*c^4*d*f^2 + 105*b^5*c*f^3 - 616*a*b^3*c^2*f^3 + 784*a^2*b*c^3*f^3 - 384*b^2*c^4*d*f*e + 1536*a*c^5*d*f*e - 280*b^4*c^2*f^2*e + 1376*a*b^2*c^3*f^2*e - 1024*a^2*c^4*f^2*e + 240*b^3*c^3*f*e^2 - 960*a*b*c^4*f*e^2 - 64*b^2*c^4*e^3 + 256*a*c^5*e^3)/(b^2*c^5 - 4*a*c^6))*x - (256*c^6*d^3 + 384*b^2*c^4*d^2*f - 768*a*c^5*d^2*f + 720*b^4*c^2*d*f^2 - 2976*a*b^2*c^3*d*f^2 + 1152*a^2*c^4*d*f^2 + 315*b^6*f^3 - 1890*a*b^4*c*f^3 + 2704*a^2*b^2*c^2*f^3 - 480*a^3*c^3*f^3 - 384*b*c^5*d^2*e - 1152*b^3*c^3*d*f*e + 3840*a*b*c^4*d*f*e - 840*b^5*c*f^2*e + 4240*a*b^3*c^2*f^2*e - 3904*a^2*b*c^3*f^2*e + 384*b^2*c^4*d*e^2 - 768*a*c^5*d*e^2 + 720*b^4*c^2*f*e^2 - 2976*a*b^2*c^3*f*e^2 + 1152*a^2*c^4*f*e^2 - 192*b^3*c^3*e^3 + 640*a*b*c^4*e^3)/(b^2*c^5 - 4*a*c^6))*x - (128*b*c^5*d^3 + 384*a*b*c^4*d^2*f + 720*a*b^3*c^2*d*f^2 - 2496*a^2*b*c^3*d*f^2 + 315*a*b^5*f^3 - 1680*a^2*b^3*c*f^3 + 1808*a^3*b*c^2*f^3 - 768*a*c^5*d^2*e - 1152*a*b^2*c^3*d*f*e + 3072*a^2*c^4*d*f*e - 840*a*b^4*c*f^2*e + 3680*a^2*b^2*c^2*f^2*e - 2048*a^3*c^3*f^2*e + 384*a*b*c^4*d*e^2 + 720*a*b^3*c^2*f*e^2 - 2496*a^2*b*c^3*f*e^2 - 192*a*b^2*c^3*e^3 + 512*a^2*c^4*e^3)/(b^2*c^5 - 4*a*c^6))/sqrt(c*x^2 + b*x + a) - 3/128*(128*c^4*d^2*f + 240*b^2*c^2*d*f^2 - 192*a*c^3*d*f^2 + 105*b^4*f^3 - 280*a*b^2*c*f^3 + 80*a^2*c^2*f^3 - 384*b*c^3*d*f*e - 280*b^3*c*f^2*e + 480*a*b*c^2*f^2*e + 128*c^4*d*e^2 + 240*b^2*c^2*f*e^2 - 192*a*c^3*f*e^2 - 64*b*c^3*e^3)*log(abs(-2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c) - b))/c^(11/2)","A",0
115,1,407,0,0.352126," ","integrate((f*x^2+e*x+d)^2/(c*x^2+b*x+a)^(3/2),x, algorithm=""giac"")","\frac{{\left({\left(\frac{2 \, {\left(b^{2} c^{2} f^{2} - 4 \, a c^{3} f^{2}\right)} x}{b^{2} c^{3} - 4 \, a c^{4}} - \frac{5 \, b^{3} c f^{2} - 20 \, a b c^{2} f^{2} - 8 \, b^{2} c^{2} f e + 32 \, a c^{3} f e}{b^{2} c^{3} - 4 \, a c^{4}}\right)} x - \frac{16 \, c^{4} d^{2} + 16 \, b^{2} c^{2} d f - 32 \, a c^{3} d f + 15 \, b^{4} f^{2} - 62 \, a b^{2} c f^{2} + 24 \, a^{2} c^{2} f^{2} - 16 \, b c^{3} d e - 24 \, b^{3} c f e + 80 \, a b c^{2} f e + 8 \, b^{2} c^{2} e^{2} - 16 \, a c^{3} e^{2}}{b^{2} c^{3} - 4 \, a c^{4}}\right)} x - \frac{8 \, b c^{3} d^{2} + 16 \, a b c^{2} d f + 15 \, a b^{3} f^{2} - 52 \, a^{2} b c f^{2} - 32 \, a c^{3} d e - 24 \, a b^{2} c f e + 64 \, a^{2} c^{2} f e + 8 \, a b c^{2} e^{2}}{b^{2} c^{3} - 4 \, a c^{4}}}{4 \, \sqrt{c x^{2} + b x + a}} - \frac{{\left(16 \, c^{2} d f + 15 \, b^{2} f^{2} - 12 \, a c f^{2} - 24 \, b c f e + 8 \, c^{2} e^{2}\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} - b \right|}\right)}{8 \, c^{\frac{7}{2}}}"," ",0,"1/4*(((2*(b^2*c^2*f^2 - 4*a*c^3*f^2)*x/(b^2*c^3 - 4*a*c^4) - (5*b^3*c*f^2 - 20*a*b*c^2*f^2 - 8*b^2*c^2*f*e + 32*a*c^3*f*e)/(b^2*c^3 - 4*a*c^4))*x - (16*c^4*d^2 + 16*b^2*c^2*d*f - 32*a*c^3*d*f + 15*b^4*f^2 - 62*a*b^2*c*f^2 + 24*a^2*c^2*f^2 - 16*b*c^3*d*e - 24*b^3*c*f*e + 80*a*b*c^2*f*e + 8*b^2*c^2*e^2 - 16*a*c^3*e^2)/(b^2*c^3 - 4*a*c^4))*x - (8*b*c^3*d^2 + 16*a*b*c^2*d*f + 15*a*b^3*f^2 - 52*a^2*b*c*f^2 - 32*a*c^3*d*e - 24*a*b^2*c*f*e + 64*a^2*c^2*f*e + 8*a*b*c^2*e^2)/(b^2*c^3 - 4*a*c^4))/sqrt(c*x^2 + b*x + a) - 1/8*(16*c^2*d*f + 15*b^2*f^2 - 12*a*c*f^2 - 24*b*c*f*e + 8*c^2*e^2)*log(abs(-2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c) - b))/c^(7/2)","A",0
116,1,122,0,0.312166," ","integrate((f*x^2+e*x+d)/(c*x^2+b*x+a)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{{\left(2 \, c^{2} d + b^{2} f - 2 \, a c f - b c e\right)} x}{b^{2} c - 4 \, a c^{2}} + \frac{b c d + a b f - 2 \, a c e}{b^{2} c - 4 \, a c^{2}}\right)}}{\sqrt{c x^{2} + b x + a}} - \frac{f \log\left({\left| -2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} - b \right|}\right)}{c^{\frac{3}{2}}}"," ",0,"-2*((2*c^2*d + b^2*f - 2*a*c*f - b*c*e)*x/(b^2*c - 4*a*c^2) + (b*c*d + a*b*f - 2*a*c*e)/(b^2*c - 4*a*c^2))/sqrt(c*x^2 + b*x + a) - f*log(abs(-2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c) - b))/c^(3/2)","A",0
117,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d),x, algorithm=""giac"")","\mathit{sage}_{2}"," ",0,"sage2","F",0
118,1,1401,0,0.454967," ","integrate((f*x^2+e*x+d)^3/(c*x^2+b*x+a)^(5/2),x, algorithm=""giac"")","\frac{{\left({\left({\left(3 \, {\left(\frac{2 \, {\left(b^{4} c^{3} f^{3} - 8 \, a b^{2} c^{4} f^{3} + 16 \, a^{2} c^{5} f^{3}\right)} x}{b^{4} c^{4} - 8 \, a b^{2} c^{5} + 16 \, a^{2} c^{6}} - \frac{7 \, b^{5} c^{2} f^{3} - 56 \, a b^{3} c^{3} f^{3} + 112 \, a^{2} b c^{4} f^{3} - 12 \, b^{4} c^{3} f^{2} e + 96 \, a b^{2} c^{4} f^{2} e - 192 \, a^{2} c^{5} f^{2} e}{b^{4} c^{4} - 8 \, a b^{2} c^{5} + 16 \, a^{2} c^{6}}\right)} x + \frac{4 \, {\left(32 \, c^{7} d^{3} + 12 \, b^{2} c^{5} d^{2} f + 48 \, a c^{6} d^{2} f - 24 \, b^{4} c^{3} d f^{2} + 168 \, a b^{2} c^{4} d f^{2} - 192 \, a^{2} c^{5} d f^{2} - 35 \, b^{6} c f^{3} + 279 \, a b^{4} c^{2} f^{3} - 588 \, a^{2} b^{2} c^{3} f^{3} + 160 \, a^{3} c^{4} f^{3} - 48 \, b c^{6} d^{2} e + 12 \, b^{3} c^{4} d f e - 144 \, a b c^{5} d f e + 60 \, b^{5} c^{2} f^{2} e - 444 \, a b^{3} c^{3} f^{2} e + 768 \, a^{2} b c^{4} f^{2} e + 12 \, b^{2} c^{5} d e^{2} + 48 \, a c^{6} d e^{2} - 24 \, b^{4} c^{3} f e^{2} + 168 \, a b^{2} c^{4} f e^{2} - 192 \, a^{2} c^{5} f e^{2} + 2 \, b^{3} c^{4} e^{3} - 24 \, a b c^{5} e^{3}\right)}}{b^{4} c^{4} - 8 \, a b^{2} c^{5} + 16 \, a^{2} c^{6}}\right)} x + \frac{3 \, {\left(64 \, b c^{6} d^{3} + 24 \, b^{3} c^{4} d^{2} f + 96 \, a b c^{5} d^{2} f - 24 \, b^{5} c^{2} d f^{2} + 144 \, a b^{3} c^{3} d f^{2} - 35 \, b^{7} f^{3} + 230 \, a b^{5} c f^{3} - 232 \, a^{2} b^{3} c^{2} f^{3} - 448 \, a^{3} b c^{3} f^{3} - 96 \, b^{2} c^{5} d^{2} e - 96 \, a b^{2} c^{4} d f e - 384 \, a^{2} c^{5} d f e + 60 \, b^{6} c f^{2} e - 360 \, a b^{4} c^{2} f^{2} e + 192 \, a^{2} b^{2} c^{3} f^{2} e + 768 \, a^{3} c^{4} f^{2} e + 24 \, b^{3} c^{4} d e^{2} + 96 \, a b c^{5} d e^{2} - 24 \, b^{5} c^{2} f e^{2} + 144 \, a b^{3} c^{3} f e^{2} - 16 \, a b^{2} c^{4} e^{3} - 64 \, a^{2} c^{5} e^{3}\right)}}{b^{4} c^{4} - 8 \, a b^{2} c^{5} + 16 \, a^{2} c^{6}}\right)} x + \frac{6 \, {\left(8 \, b^{2} c^{5} d^{3} + 32 \, a c^{6} d^{3} + 48 \, a b^{2} c^{4} d^{2} f - 24 \, a b^{4} c^{2} d f^{2} + 168 \, a^{2} b^{2} c^{3} d f^{2} - 96 \, a^{3} c^{4} d f^{2} - 35 \, a b^{6} f^{3} + 265 \, a^{2} b^{4} c f^{3} - 504 \, a^{3} b^{2} c^{2} f^{3} + 80 \, a^{4} c^{3} f^{3} - 12 \, b^{3} c^{4} d^{2} e - 48 \, a b c^{5} d^{2} e - 192 \, a^{2} b c^{4} d f e + 60 \, a b^{5} c f^{2} e - 420 \, a^{2} b^{3} c^{2} f^{2} e + 624 \, a^{3} b c^{3} f^{2} e + 48 \, a b^{2} c^{4} d e^{2} - 24 \, a b^{4} c^{2} f e^{2} + 168 \, a^{2} b^{2} c^{3} f e^{2} - 96 \, a^{3} c^{4} f e^{2} - 32 \, a^{2} b c^{4} e^{3}\right)}}{b^{4} c^{4} - 8 \, a b^{2} c^{5} + 16 \, a^{2} c^{6}}\right)} x - \frac{8 \, b^{3} c^{4} d^{3} - 96 \, a b c^{5} d^{3} - 192 \, a^{2} b c^{4} d^{2} f + 72 \, a^{2} b^{3} c^{2} d f^{2} - 480 \, a^{3} b c^{3} d f^{2} + 105 \, a^{2} b^{5} f^{3} - 760 \, a^{3} b^{3} c f^{3} + 1296 \, a^{4} b c^{2} f^{3} + 48 \, a b^{2} c^{4} d^{2} e + 192 \, a^{2} c^{5} d^{2} e + 768 \, a^{3} c^{4} d f e - 180 \, a^{2} b^{4} c f^{2} e + 1200 \, a^{3} b^{2} c^{2} f^{2} e - 1536 \, a^{4} c^{3} f^{2} e - 192 \, a^{2} b c^{4} d e^{2} + 72 \, a^{2} b^{3} c^{2} f e^{2} - 480 \, a^{3} b c^{3} f e^{2} + 128 \, a^{3} c^{4} e^{3}}{b^{4} c^{4} - 8 \, a b^{2} c^{5} + 16 \, a^{2} c^{6}}}{12 \, {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}} - \frac{{\left(24 \, c^{2} d f^{2} + 35 \, b^{2} f^{3} - 20 \, a c f^{3} - 60 \, b c f^{2} e + 24 \, c^{2} f e^{2}\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} - b \right|}\right)}{8 \, c^{\frac{9}{2}}}"," ",0,"1/12*((((3*(2*(b^4*c^3*f^3 - 8*a*b^2*c^4*f^3 + 16*a^2*c^5*f^3)*x/(b^4*c^4 - 8*a*b^2*c^5 + 16*a^2*c^6) - (7*b^5*c^2*f^3 - 56*a*b^3*c^3*f^3 + 112*a^2*b*c^4*f^3 - 12*b^4*c^3*f^2*e + 96*a*b^2*c^4*f^2*e - 192*a^2*c^5*f^2*e)/(b^4*c^4 - 8*a*b^2*c^5 + 16*a^2*c^6))*x + 4*(32*c^7*d^3 + 12*b^2*c^5*d^2*f + 48*a*c^6*d^2*f - 24*b^4*c^3*d*f^2 + 168*a*b^2*c^4*d*f^2 - 192*a^2*c^5*d*f^2 - 35*b^6*c*f^3 + 279*a*b^4*c^2*f^3 - 588*a^2*b^2*c^3*f^3 + 160*a^3*c^4*f^3 - 48*b*c^6*d^2*e + 12*b^3*c^4*d*f*e - 144*a*b*c^5*d*f*e + 60*b^5*c^2*f^2*e - 444*a*b^3*c^3*f^2*e + 768*a^2*b*c^4*f^2*e + 12*b^2*c^5*d*e^2 + 48*a*c^6*d*e^2 - 24*b^4*c^3*f*e^2 + 168*a*b^2*c^4*f*e^2 - 192*a^2*c^5*f*e^2 + 2*b^3*c^4*e^3 - 24*a*b*c^5*e^3)/(b^4*c^4 - 8*a*b^2*c^5 + 16*a^2*c^6))*x + 3*(64*b*c^6*d^3 + 24*b^3*c^4*d^2*f + 96*a*b*c^5*d^2*f - 24*b^5*c^2*d*f^2 + 144*a*b^3*c^3*d*f^2 - 35*b^7*f^3 + 230*a*b^5*c*f^3 - 232*a^2*b^3*c^2*f^3 - 448*a^3*b*c^3*f^3 - 96*b^2*c^5*d^2*e - 96*a*b^2*c^4*d*f*e - 384*a^2*c^5*d*f*e + 60*b^6*c*f^2*e - 360*a*b^4*c^2*f^2*e + 192*a^2*b^2*c^3*f^2*e + 768*a^3*c^4*f^2*e + 24*b^3*c^4*d*e^2 + 96*a*b*c^5*d*e^2 - 24*b^5*c^2*f*e^2 + 144*a*b^3*c^3*f*e^2 - 16*a*b^2*c^4*e^3 - 64*a^2*c^5*e^3)/(b^4*c^4 - 8*a*b^2*c^5 + 16*a^2*c^6))*x + 6*(8*b^2*c^5*d^3 + 32*a*c^6*d^3 + 48*a*b^2*c^4*d^2*f - 24*a*b^4*c^2*d*f^2 + 168*a^2*b^2*c^3*d*f^2 - 96*a^3*c^4*d*f^2 - 35*a*b^6*f^3 + 265*a^2*b^4*c*f^3 - 504*a^3*b^2*c^2*f^3 + 80*a^4*c^3*f^3 - 12*b^3*c^4*d^2*e - 48*a*b*c^5*d^2*e - 192*a^2*b*c^4*d*f*e + 60*a*b^5*c*f^2*e - 420*a^2*b^3*c^2*f^2*e + 624*a^3*b*c^3*f^2*e + 48*a*b^2*c^4*d*e^2 - 24*a*b^4*c^2*f*e^2 + 168*a^2*b^2*c^3*f*e^2 - 96*a^3*c^4*f*e^2 - 32*a^2*b*c^4*e^3)/(b^4*c^4 - 8*a*b^2*c^5 + 16*a^2*c^6))*x - (8*b^3*c^4*d^3 - 96*a*b*c^5*d^3 - 192*a^2*b*c^4*d^2*f + 72*a^2*b^3*c^2*d*f^2 - 480*a^3*b*c^3*d*f^2 + 105*a^2*b^5*f^3 - 760*a^3*b^3*c*f^3 + 1296*a^4*b*c^2*f^3 + 48*a*b^2*c^4*d^2*e + 192*a^2*c^5*d^2*e + 768*a^3*c^4*d*f*e - 180*a^2*b^4*c*f^2*e + 1200*a^3*b^2*c^2*f^2*e - 1536*a^4*c^3*f^2*e - 192*a^2*b*c^4*d*e^2 + 72*a^2*b^3*c^2*f*e^2 - 480*a^3*b*c^3*f*e^2 + 128*a^3*c^4*e^3)/(b^4*c^4 - 8*a*b^2*c^5 + 16*a^2*c^6))/(c*x^2 + b*x + a)^(3/2) - 1/8*(24*c^2*d*f^2 + 35*b^2*f^3 - 20*a*c*f^3 - 60*b*c*f^2*e + 24*c^2*f*e^2)*log(abs(-2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c) - b))/c^(9/2)","A",0
119,1,587,0,0.338233," ","integrate((f*x^2+e*x+d)^2/(c*x^2+b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{f^{2} \log\left({\left| -2 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b x + a}\right)} \sqrt{c} - b \right|}\right)}{c^{\frac{5}{2}}} + \frac{2 \, {\left({\left({\left(\frac{2 \, {\left(8 \, c^{5} d^{2} + 2 \, b^{2} c^{3} d f + 8 \, a c^{4} d f - 2 \, b^{4} c f^{2} + 14 \, a b^{2} c^{2} f^{2} - 16 \, a^{2} c^{3} f^{2} - 8 \, b c^{4} d e + b^{3} c^{2} f e - 12 \, a b c^{3} f e + b^{2} c^{3} e^{2} + 4 \, a c^{4} e^{2}\right)} x}{b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}} + \frac{3 \, {\left(8 \, b c^{4} d^{2} + 2 \, b^{3} c^{2} d f + 8 \, a b c^{3} d f - b^{5} f^{2} + 6 \, a b^{3} c f^{2} - 8 \, b^{2} c^{3} d e - 4 \, a b^{2} c^{2} f e - 16 \, a^{2} c^{3} f e + b^{3} c^{2} e^{2} + 4 \, a b c^{3} e^{2}\right)}}{b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}}\right)} x + \frac{6 \, {\left(b^{2} c^{3} d^{2} + 4 \, a c^{4} d^{2} + 4 \, a b^{2} c^{2} d f - a b^{4} f^{2} + 7 \, a^{2} b^{2} c f^{2} - 4 \, a^{3} c^{2} f^{2} - b^{3} c^{2} d e - 4 \, a b c^{3} d e - 8 \, a^{2} b c^{2} f e + 2 \, a b^{2} c^{2} e^{2}\right)}}{b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}}\right)} x - \frac{b^{3} c^{2} d^{2} - 12 \, a b c^{3} d^{2} - 16 \, a^{2} b c^{2} d f + 3 \, a^{2} b^{3} f^{2} - 20 \, a^{3} b c f^{2} + 4 \, a b^{2} c^{2} d e + 16 \, a^{2} c^{3} d e + 32 \, a^{3} c^{2} f e - 8 \, a^{2} b c^{2} e^{2}}{b^{4} c^{2} - 8 \, a b^{2} c^{3} + 16 \, a^{2} c^{4}}\right)}}{3 \, {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}"," ",0,"-f^2*log(abs(-2*(sqrt(c)*x - sqrt(c*x^2 + b*x + a))*sqrt(c) - b))/c^(5/2) + 2/3*(((2*(8*c^5*d^2 + 2*b^2*c^3*d*f + 8*a*c^4*d*f - 2*b^4*c*f^2 + 14*a*b^2*c^2*f^2 - 16*a^2*c^3*f^2 - 8*b*c^4*d*e + b^3*c^2*f*e - 12*a*b*c^3*f*e + b^2*c^3*e^2 + 4*a*c^4*e^2)*x/(b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4) + 3*(8*b*c^4*d^2 + 2*b^3*c^2*d*f + 8*a*b*c^3*d*f - b^5*f^2 + 6*a*b^3*c*f^2 - 8*b^2*c^3*d*e - 4*a*b^2*c^2*f*e - 16*a^2*c^3*f*e + b^3*c^2*e^2 + 4*a*b*c^3*e^2)/(b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4))*x + 6*(b^2*c^3*d^2 + 4*a*c^4*d^2 + 4*a*b^2*c^2*d*f - a*b^4*f^2 + 7*a^2*b^2*c*f^2 - 4*a^3*c^2*f^2 - b^3*c^2*d*e - 4*a*b*c^3*d*e - 8*a^2*b*c^2*f*e + 2*a*b^2*c^2*e^2)/(b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4))*x - (b^3*c^2*d^2 - 12*a*b*c^3*d^2 - 16*a^2*b*c^2*d*f + 3*a^2*b^3*f^2 - 20*a^3*b*c*f^2 + 4*a*b^2*c^2*d*e + 16*a^2*c^3*d*e + 32*a^3*c^2*f*e - 8*a^2*b*c^2*e^2)/(b^4*c^2 - 8*a*b^2*c^3 + 16*a^2*c^4))/(c*x^2 + b*x + a)^(3/2)","A",0
120,1,240,0,0.322270," ","integrate((f*x^2+e*x+d)/(c*x^2+b*x+a)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left({\left(\frac{2 \, {\left(8 \, c^{3} d + b^{2} c f + 4 \, a c^{2} f - 4 \, b c^{2} e\right)} x}{b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}} + \frac{3 \, {\left(8 \, b c^{2} d + b^{3} f + 4 \, a b c f - 4 \, b^{2} c e\right)}}{b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}}\right)} x + \frac{3 \, {\left(2 \, b^{2} c d + 8 \, a c^{2} d + 4 \, a b^{2} f - b^{3} e - 4 \, a b c e\right)}}{b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}}\right)} x - \frac{b^{3} d - 12 \, a b c d - 8 \, a^{2} b f + 2 \, a b^{2} e + 8 \, a^{2} c e}{b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2}}\right)}}{3 \, {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}"," ",0,"2/3*(((2*(8*c^3*d + b^2*c*f + 4*a*c^2*f - 4*b*c^2*e)*x/(b^4 - 8*a*b^2*c + 16*a^2*c^2) + 3*(8*b*c^2*d + b^3*f + 4*a*b*c*f - 4*b^2*c*e)/(b^4 - 8*a*b^2*c + 16*a^2*c^2))*x + 3*(2*b^2*c*d + 8*a*c^2*d + 4*a*b^2*f - b^3*e - 4*a*b*c*e)/(b^4 - 8*a*b^2*c + 16*a^2*c^2))*x - (b^3*d - 12*a*b*c*d - 8*a^2*b*f + 2*a*b^2*e + 8*a^2*c*e)/(b^4 - 8*a*b^2*c + 16*a^2*c^2))/(c*x^2 + b*x + a)^(3/2)","A",0
121,1,205,0,0.275863," ","integrate(1/(5*x^2+12*x+8)/(5*x^2+2*x-7)^(1/2),x, algorithm=""giac"")","-\frac{1}{10} \, \arctan\left(-\frac{5 \, \sqrt{5} x + 6 \, \sqrt{5} - 5 \, \sqrt{5 \, x^{2} + 2 \, x - 7} + 5}{2 \, {\left(\sqrt{5} + 5\right)}}\right) - \frac{1}{10} \, \arctan\left(\frac{5 \, \sqrt{5} x + 6 \, \sqrt{5} - 5 \, \sqrt{5 \, x^{2} + 2 \, x - 7} - 5}{2 \, {\left(\sqrt{5} - 5\right)}}\right) + \frac{1}{10} \, \log\left(5 \, {\left(\sqrt{5} x - \sqrt{5 \, x^{2} + 2 \, x - 7}\right)}^{2} + 2 \, {\left(\sqrt{5} x - \sqrt{5 \, x^{2} + 2 \, x - 7}\right)} {\left(6 \, \sqrt{5} + 5\right)} + 20 \, \sqrt{5} + 65\right) - \frac{1}{10} \, \log\left(5 \, {\left(\sqrt{5} x - \sqrt{5 \, x^{2} + 2 \, x - 7}\right)}^{2} + 2 \, {\left(\sqrt{5} x - \sqrt{5 \, x^{2} + 2 \, x - 7}\right)} {\left(6 \, \sqrt{5} - 5\right)} - 20 \, \sqrt{5} + 65\right)"," ",0,"-1/10*arctan(-1/2*(5*sqrt(5)*x + 6*sqrt(5) - 5*sqrt(5*x^2 + 2*x - 7) + 5)/(sqrt(5) + 5)) - 1/10*arctan(1/2*(5*sqrt(5)*x + 6*sqrt(5) - 5*sqrt(5*x^2 + 2*x - 7) - 5)/(sqrt(5) - 5)) + 1/10*log(5*(sqrt(5)*x - sqrt(5*x^2 + 2*x - 7))^2 + 2*(sqrt(5)*x - sqrt(5*x^2 + 2*x - 7))*(6*sqrt(5) + 5) + 20*sqrt(5) + 65) - 1/10*log(5*(sqrt(5)*x - sqrt(5*x^2 + 2*x - 7))^2 + 2*(sqrt(5)*x - sqrt(5*x^2 + 2*x - 7))*(6*sqrt(5) - 5) - 20*sqrt(5) + 65)","B",0
122,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+d)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{c x^{2} + b x + a} \sqrt{f x^{2} + e x + d}}\,{d x}"," ",0,"integrate(1/(sqrt(c*x^2 + b*x + a)*sqrt(f*x^2 + e*x + d)), x)","F",0
123,0,0,0,0.000000," ","integrate(1/(5*x^2+3*x+2)^(1/2)/(2*x^2-x+3)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{5 \, x^{2} + 3 \, x + 2} \sqrt{2 \, x^{2} - x + 3}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x^2 + 3*x + 2)*sqrt(2*x^2 - x + 3)), x)","F",0
