
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
The area enclosed by the graph of the function $y=f(x)$, the lines $x=a$, $x=b$, and the $x$-axis is called the area of the function $f(x)$ on $[a,b]$. It is known that the area of the function $y=\sin nx$ on $\[0, \dfrac {π}{n}\]$ is $\dfrac {2}{n}(n∈N^{+})$. Find the area of the function $y=\sin 3x$ on $\[0, \dfrac {2π}{3}\]$.

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