
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 that the major axis of a circle is $2a$ and the minor axis is $2b$, with an area of $πab$. Compute the integral $$ \int_{-3}^{3} 2 \sqrt{1-\frac{x^2}{9}} \, dx = \_\_\_\_\_\_. $$

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