
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
An object moves in a straight line according to the rule $x=4t^{2}(m)$, where the resistance of the medium is proportional to the velocity. When the velocity is $10(m/s)$, the resistance is $2(N)$. Find the integral expression for the work done by the resistance as the object moves from $x=0$ to $x=2$.

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