
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 $f(x)=\begin{cases} x^{2},x\in[0,1], \\\\ \frac{1}{x},x\in(1,e], \end{cases}$ find the value of $\int_{0}^{e}{{}}f\left( x \right)dx$.

A) $\frac{6}{5}$
B) $\frac{5}{4}$
C) $\frac{4}{3}$
D) $\frac{7}{6}$

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