How to Calculate Surface Integral Using Stokes' Theorem?

  • #1
WMDhamnekar
MHB
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TL;DR Summary
Stokes’ theorem translates between the flux integral of surface S to a line integral around the boundary of S. Therefore, the theorem allows us to compute surface integrals or line integrals that would ordinarily be quite difficult by translating the line integral into a surface integral or vice versa.
Calculating a surface integral
Calculate surface integral where S is the surface, oriented outward in below given figure and F = [ z,2xy,x+y].

1669809506421.png


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  • #2
You would do that as a line integral over ; I assume the question tells you what is?
 
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