
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 force $F(x) = \begin{cases} x^{2}, & 0 \leq x \leq 1 \\ x + 1, & 1 < x \leq 2 \end{cases}$ (unit: N) acting on a particle, calculate the work done by force $F(x)$ as it moves from $x = 0$ to $x = 2$ (unit: m).

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