
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) \(\int \frac{\cos x}{\sqrt{3+\sin ^{2} x}} \, dx\)
2) \(\int \sin ^{5} x \, dx\)
3) \(\int \frac{1}{3 \tan^{2} x + 5} \cdot \frac{dx}{\cos ^{2} x}\)
4) \(\int \cot^{6} x \, dx\).

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