
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let $M$ and $m$ be the maximum and minimum values of $f(x)$ on the interval $[a, b]$, respectively. Then, $m(b-a) \leq \int_{a}^{b} f(x) dx \leq M(b-a)$. Based on the above estimation theorem, estimate the range of the definite integral $$\int_{-1}^{2} 2^{-x^2} dx$$.

Present the answer in LaTex format: \boxed{Your answer}
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