Consider the polynomial $\mathrm{f}(\mathrm{x})=1+2 \mathrm{x}+3 \mathrm{x}^2+4 \mathrm{x}^3$. Let s be the sum of all distinct real roots of $\mathrm{f}(\mathrm{x})$ and let $\mathrm{t}=|\mathrm{s}|$.

The area bounded by the curve $y=f(x)$ and the lines $x=0, y=0$ and $x=t$, lies in the interval