
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 in a straight line with velocity $v(t) = t^2 - t + 6$. Calculate the distance traveled by the body from $t=1$ to $t=4$.

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