Any help would be greatly appreciated :) Let F (x,y,z)=x2 i+y2 j+z2 k be the vector field defined on the surface S which the portion of the cylinder y2+z2=4, with z≥0 (z greater than or equal to 0) between the planes x=0 and x=5 oriented upward. How would I evaluate the surface integral ∬S F ∙dS for the given vector fi

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Any help would be greatly appreciated :)

Let F (x,y,z)=x2 i+y2 j+z2 k be the vector field defined on the surface S which the portion of the cylinder y2+z2=4, with z≥0 (z greater than or equal to 0) between the planes x=0 and x=5 oriented upward. How would I evaluate the surface integral ∬S F ∙dS for the given vector field F and the oriented surface S

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