
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) \(\int \frac{dx}{x^{2} + 4x + 8}\)
2) \(\int \frac{7-8x}{2x^{3} - 3x + 1} \, dx\)
3) \(\int \frac{3x - 2}{x^{2} + 6x + 9} \, dx\)
4) \(\int \frac{6x^{3} - 7x^{2} + 3x - 1}{2x - 3x^{2}} \, dx\)

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