
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) $\int \frac{d x}{3 x^{2}-6 x+5}$
2) $\int \frac{x + 3}{x^{2} + 4 x - 1} \, dx$
3) $\int \frac{x^{3} - 2 x^{2} + x - 1}{3 + 2 x - x^{2}} \, dx$
4) $\int \frac{2 x - 1}{x^{2} - 2 x} \, dx$.

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