\[ \int \frac {a+b x+d x^3}{2+3 x^4} \, dx \]
Optimal antiderivative \[ \frac {a \arctan \left (-1+6^{\frac {1}{4}} x \right ) 6^{\frac {3}{4}}}{24}+\frac {a \arctan \left (1+6^{\frac {1}{4}} x \right ) 6^{\frac {3}{4}}}{24}+\frac {d \ln \left (3 x^{4}+2\right )}{12}-\frac {a \ln \left (-6^{\frac {3}{4}} x +3 x^{2}+\sqrt {6}\right ) 6^{\frac {3}{4}}}{48}+\frac {a \ln \left (6^{\frac {3}{4}} x +3 x^{2}+\sqrt {6}\right ) 6^{\frac {3}{4}}}{48}+\frac {b \arctan \left (\frac {x^{2} \sqrt {6}}{2}\right ) \sqrt {6}}{12} \]
command
integrate((d*x^3+b*x+a)/(3*x^4+2),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 \[ \text {Timed out} \]