
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 $F(x)= \int_{0}^{x}(t^{2}+2t-8)dt$, $(x > 0)$.
(1) Find the monotonic interval of $F(x)$;
(2) Find the extreme values of the function $F(x)$ on $[1,3]$.

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