1727.sagews

f(x) = integral(integral(x^3+4*x^2+2*x+4, x), x)
sol = solve(f(x) == 0, x)
show(sol)
plot(f, -100, 100)

\newcommand{\Bold}[1]{\mathbf{#1}}\left[x = -\frac{1}{2} \, {\left(I \, \sqrt{3} + 1\right)} {\left(\frac{20}{81} \, \sqrt{3} \sqrt{2927} - \frac{17180}{729}\right)}^{\left(\frac{1}{3}\right)} + \frac{{\left(\left(110 I\right) \, \sqrt{3} - 110\right)}}{81 \, {\left(\frac{20}{81} \, \sqrt{3} \sqrt{2927} - \frac{17180}{729}\right)}^{\left(\frac{1}{3}\right)}} - \frac{20}{9}, x = -\frac{1}{2} \, {\left(-I \, \sqrt{3} + 1\right)} {\left(\frac{20}{81} \, \sqrt{3} \sqrt{2927} - \frac{17180}{729}\right)}^{\left(\frac{1}{3}\right)} + \frac{{\left(\left(-110 I\right) \, \sqrt{3} - 110\right)}}{81 \, {\left(\frac{20}{81} \, \sqrt{3} \sqrt{2927} - \frac{17180}{729}\right)}^{\left(\frac{1}{3}\right)}} - \frac{20}{9}, x = {\left(\frac{20}{81} \, \sqrt{3} \sqrt{2927} - \frac{17180}{729}\right)}^{\left(\frac{1}{3}\right)} + \frac{220}{81 \, {\left(\frac{20}{81} \, \sqrt{3} \sqrt{2927} - \frac{17180}{729}\right)}^{\left(\frac{1}{3}\right)}} - \frac{20}{9}, x = 0\right]