
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 line integral

$$
\int_{L}(x-y) d x+d y+z d z
$$

from the point \( M(2,0,4) \) to the point \( N(-2,0,4) \) (where \( y \geq 0 \)) along the curve \( L \), formed by the intersection of the paraboloid \( z=x^{2}+y^{2} \) and the plane \( z=4 \).

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