\[ \int \left (\frac {1}{2} \left (3-\sqrt {37}\right )+x\right ) \left (\frac {1}{2} \left (3+\sqrt {37}\right )+x\right ) \, dx \]
Optimal antiderivative \[ -7 x +\frac {3}{2} x^{2}+\frac {1}{3} x^{3} \]
command
integrate((x+3/2-1/2*37^(1/2))*(x+3/2+1/2*37^(1/2)),x, algorithm="fricas")
Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output
\[ \frac {1}{3} \, x^{3} + \frac {3}{2} \, x^{2} - 7 \, x \]
Fricas 1.3.7 via sagemath 9.3 output
\[ \text {Exception raised: SyntaxError} \]