
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 piecewise function $g$, where $y=x^2$ for $0 \le x \le 6$ and $y=3x-9$ for $6 \le x \le 10$, find the measure of the area bounded by the $x$-axis, the line $x=10$, and the curve defined by $g$.

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