
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
A body moves from $x=0$ to $x=4$ (unit: $m$) under the influence of a force $F(x)$, given by
$$
F(x) = 
\begin{cases}
5, & 0 \leq x \leq 2,\\
3x + 4, & x > 2 
\end{cases}
$$
(unit: $N$), in the direction of the force $F$. Calculate the work done by the force $F(x)$.

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