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

$$Canyouhelpme..???pls....$$$$$$$$$$$$\mathrm{Evaluate}\int {\int }_{\mathcal{S}}\hat{\mathbf{F}}\cdot \mathrm{d}\hat{\mathbf{S}}$$$$\mathrm{Parametric}\mathrm{Surface}$$$$\hat{\mathbf{S}}(u,v)=(2+\sin \left(u\right))\cos \left(v\right){\hat{\mathbf{e}}}_1+(2+\sin \left(u\right))\sin \left(v\right){\hat{\mathbf{e}}}_2+(\cos \left(v\right)+u){\hat{\mathbf{e}}}_3$$$$\mathrm{Vector}\mathrm{Field}\hat{\mathbf{F}}(x,y)=x{\hat{\mathbf{e}}}_1+y{\hat{\mathbf{e}}}_2+z{\hat{\mathbf{e}}}_3$$

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