
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
Given the function $f(x)= \begin{cases} x^{2}, & x\in[0,1] \\ \frac {1}{x}, & x\in(1,e] \end{cases}$ (where $e$ is the base of the natural logarithm), find the value of $\int_{0}^{e}f(x)dx$.

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