
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 contour integrals:
1) \(\oint_{-i} 2 x \, dx - (x + 2 y) \, dy\)
2) \(\oint_{+i} y \cos x \, dx + \sin x \, dy\)

along the perimeter of the triangle with vertices \(A(-1, 0)\), \(B(0, 2)\), and \(C(2, 0)\).

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