
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
Using Stokes' theorem, calculate the line integral \( K=\oint_{l} e^{x} \, dx + z\left(x^{2}+y^{2}\right)^{\frac{3}{2}} \, dy + yz^{3} \, dz \), where \( l \) is the closed curve \( OCBAO \) of the intersection of the surfaces \( z=\sqrt{x^{2}+y^{2}} \), \( x=0 \), \( x=2 \), \( y=0 \), \( y=1 \).

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