(Solution Library) Here are two curves: Given functions $m[x, y]$ and $n[x, y]$, what do you check to be sure that \oint_mathrmC_1 m[x, y] d x+n[x, y] d
Question: Here are two curves:
Given functions $m[x, y]$ and $n[x, y]$, what do you check to be sure that \(\oint_{\mathrm{C}_{1}} m[x, y] d x+n[x, y] d y=\oint_{C_{2}} m[x, y] d x+n[x, y] d y\) without going to all the trouble to make the individual calculations?
Deliverable: Word Document 
![[See Solution] Consider the vector field Field](/images/solutions/MC-solution-library-71843.jpg "[See Solution] Consider the vector field Field [x, y]=m[x, y],")
[See Solution] Consider the vector field Field [x, y]=m[x, y],
[See Solution] Evaluate ∫_0^π ∫_y^π((Sin;[x])/(x))
(See Steps) Go with a given vector field \text Field [x, y]=3
Solution: Use the Gauss-Green formula to evaluate the path integral:
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