# Exponential Integration

Calculus Level 4

$\large \int e^{x^2} \ e^x \ (2x^2+x+1) \, dx=e^{x^2} f(x)+C$

Above shows an indefinite integral for some non-constant function $$f(x)$$ and arbitrary constant $$C$$.

If the minimum value of $$f (x)$$ is equal to $$m$$, then find the value of $$\left \lfloor -\dfrac{1}{m} \right \rfloor$$.

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