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Let Q denote the unit cube in [tex]\Re^3[/tex] (that is the unite cube with 0<x,y,z<1). Let G(x,y,z) = (y, xe^z+3y, y^3*sinx). Verify the validity of the divergence theorem.
[tex] \int_{Q} \bigtriangledown} \cdot G dxdydz = \int_{\partial Q} G \cdot n dS [/tex]
I am not sure how to evaluate the right side. Any help would be good.
[tex] \int_{Q} \bigtriangledown} \cdot G dxdydz = \int_{\partial Q} G \cdot n dS [/tex]
I am not sure how to evaluate the right side. Any help would be good.