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Question Number 199686 by MathedUp last updated on 07/Nov/23

C a n y o u h e l p m e . . ? ? ? p l s \dots .

Evaluate \int \int_{S} \hat{F} \cdot d \hat{S}

Parametric Surface

\hat{S} (u, v) = (2 + \sin (u)) \cos (v) {\hat{e}}_{1} + (2 + \sin (u)) \sin (v) {\hat{e}}_{2} + (\cos (v) + u) {\hat{e}}_{3}

Vector Field \hat{F} (x, y) = x {\hat{e}}_{1} + y {\hat{e}}_{2} + z {\hat{e}}_{3}