
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
The area of the enclosed shape formed by the line $y=0$, $x=e$, $y=2x$, and the curve $y= \frac {2}{x}$ is $\int_{1}^{e} \frac{2}{x} - 2x \,dx$.

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