[Calc 3] Stoke's Theorem

Hi mates,

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I hate to ask this, but could some one be so kind to help solve this with a step by step explanation? The only information that was given to us about stokes theorem is this snippet...

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∬R(∇×F)∙n^dS=∮∂RF∙dp

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The only thing I understand is the curl given by ∇×F, here is the problem I was given to solve...

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Let CC be a circle (drawn in a counterclockwise fashion when viewed from a height of z=10) of radius 11 centered at (0,0,3) in the plane 2x−3y+z=3. Compute:

∮C(y−z)dx+(x+y^2)dy+(y−z^2)dz

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From here I am completely lost. Any help is greatly appreciated

Best,

Jacozza