
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
Calculate the surface integrals of the first type (over the surface area):

1) \( I = \iint_{\sigma} (6x + 4y + 3z) \, ds \), where \(\sigma\) is the part of the plane \( x + 2y + 3z = 6 \) that lies in the first octant.
2) \( K = \iint_{W} \left( y + z + V \sqrt{a^2 - x^2} \right) \, ds \), where \( W \) is the surface of the cylinder \( x^2 + y^2 = a^2 \) bounded by the planes \( z = 0 \) and \( z = h \).

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