[See Solution] Compute the surface integral of F(x, y, z)=y \veci+z \vecj+x \veck over the part of the plane x+y+z=2 in the first octant with upward-pointing
Question: Compute the surface integral of \(\vec{F}(x, y, z)=y \vec{i}+z \vec{j}+x \vec{k}\) over the part of the plane \(x+y+z=2\) in the first octant with upward-pointing normal.
Deliverable: Word Document 
(Step-by-Step) Use Green's Theorem to find the integral of the vector
![[Step-by-Step] Use Stokes' Theorem to compute ∫_C](/images/solutions/MC-solution-library-70326.jpg "[Step-by-Step] Use Stokes' Theorem to compute ∫_C F •")
[Step-by-Step] Use Stokes' Theorem to compute ∫_C F •
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[See Solution] Compute the Riemann sum for ∫_R(2 x+3 y) d A
![[Steps Shown] Evaluate ∫_D (sin x)/(x) ~d](/images/solutions/MC-solution-library-70328.jpg "[Steps Shown] Evaluate ∫_D (sin x)/(x) ~d A where D is the region")
[Steps Shown] Evaluate ∫_D (sin x)/(x) ~d A where D is the region
![[Solution Library] Reverse the order of integration](/images/solutions/MC-solution-library-70329.jpg "[Solution Library] Reverse the order of integration and evaluate")
[Solution Library] Reverse the order of integration and evaluate
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