\[ \int \frac {1}{8+24 x+8 x^2-15 x^3+8 x^4} \, dx \]
Optimal antiderivative \[ \frac {\arctan \left (\frac {\left (-5 x^{2}+12 x +8\right ) \sqrt {39}}{39 x^{2}}\right ) \sqrt {39}}{52}-\frac {\ln \left (\left (3+\frac {4}{x}\right )^{2}+\sqrt {517}-\left (3+\frac {4}{x}\right ) \sqrt {38+2 \sqrt {517}}\right ) \sqrt {-208364442+9476610 \sqrt {517}}}{322608}+\frac {\ln \left (\left (3+\frac {4}{x}\right )^{2}+\sqrt {517}+\left (3+\frac {4}{x}\right ) \sqrt {38+2 \sqrt {517}}\right ) \sqrt {-208364442+9476610 \sqrt {517}}}{322608}-\frac {\arctan \left (\frac {6+\frac {8}{x}-\sqrt {38+2 \sqrt {517}}}{\sqrt {-38+2 \sqrt {517}}}\right ) \sqrt {208364442+9476610 \sqrt {517}}}{161304}-\frac {\arctan \left (\frac {6+\frac {8}{x}+\sqrt {38+2 \sqrt {517}}}{\sqrt {-38+2 \sqrt {517}}}\right ) \sqrt {208364442+9476610 \sqrt {517}}}{161304} \]
command
integrate(1/(8*x^4-15*x^3+8*x^2+24*x+8),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 \[ \text {Timed out} \]