
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
For any real numbers $a, b$ ($a < b$), a random variable $X$ is said to follow a normal distribution if $P(a < X \leq b) = \int_{a}^{b} \phi_{\mu\sigma}(x) \,dx$. It is denoted as $X \sim \text{N}(\mu, \sigma^2)$. If $X \sim \text{N}(0,1)$, then $\int_{-1}^{1} \phi_{\mu\sigma}(x) \,dx = \boxed{?}$.

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