\[ \int \frac {x}{a+8 x-8 x^2+4 x^3-x^4} \, dx \]
Optimal antiderivative \[ \frac {\arctanh \left (\frac {1+\left (-1+x \right )^{2}}{\sqrt {4+a}}\right )}{2 \sqrt {4+a}}-\frac {\arctan \left (\frac {-1+x}{\sqrt {1-\sqrt {4+a}}}\right )}{2 \sqrt {4+a}\, \sqrt {1-\sqrt {4+a}}}+\frac {\arctan \left (\frac {-1+x}{\sqrt {1+\sqrt {4+a}}}\right )}{2 \sqrt {4+a}\, \sqrt {1+\sqrt {4+a}}} \]
command
integrate(x/(-x^4+4*x^3-8*x^2+a+8*x),x, algorithm="fricas")
Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output
\[ \text {output too large to display} \]
Fricas 1.3.7 via sagemath 9.3 output \[ \text {Timed out} \]