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