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Let S Be the Cylinder x2+y2=4,0z6x ^ { 2 } + y ^ { 2 } = 4,0 \leq z \leq 6

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Let S be the cylinder x2+y2=4,0z6x ^ { 2 } + y ^ { 2 } = 4,0 \leq z \leq 6 .Find Q if (xx2+y2i+yx2+y2j+k)dA=Qπ\int \left( \frac { x } { \sqrt { x ^ { 2 } + y ^ { 2 } } } \vec { i } + \frac { y } { \sqrt { x ^ { 2 } + y ^ { 2 } } } \vec { j } + \vec { k } \right) \cdot d \vec { A } = Q \pi .


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