
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
Calculate the improper integral of the second kind in the sense of the principal value:

\[ I = \mathrm{V} . \mathrm{p} . \int_{1 / e}^{e} \frac{d x}{x \ln x} \]

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