
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 following propositions:
① $y=x^2$ is a power function  
② The function $f(x)=2^x-x^2$ has 2 zeros  
③ The expansion of $(x^{2}+ \frac {1}{x^{2}}+2)^{5}$ has 6 terms  
④ The area of the shape formed by the graph of the function $y=\sin x$ ($x \in [-\pi, \pi]$) and the x-axis is $S= \int _{ -\pi }^{ \pi }\sin xdx$  
⑤ If $\xi \sim N(1, \sigma^2)$, and $P(0 \leq \xi \leq 1)=0.3$, then $P(\xi \geq 2)=0.2$  
Among these, the numbers of the true propositions are __________ (write down all the correct proposition numbers).

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