
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
Find the integrals:
1) $\int\left(5 x^{3}-4 x^{2}+2\right) d x$
2) $\int \frac{d x}{x-2}$
3) $\int \frac{5 d x}{(x+3)^{7}}$
4) $\int \frac{2 x-5}{x^{2}+4 x+8} d x$

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