[See Solution] Take a given vector field Field [x, y]=m[x, y], n[x, y] If C_1 and C_2 are two curves that are parameterized to start at a given point a, b, and
Question: Take a given vector field
Field \([x, y]=\{m[x, y], n[x, y]\}\)
If \(C_{1}\) and \(C_{2}\) are two curves that are parameterized to start at a given point \(\{a, b\}\), and end at another given point \(\{\mathrm{c}, \mathrm{d}\}\), but are not the same physical curve, what do you look for to determine whether you guaranteed that
\[\int_{C_{1}} m[x, y] d x+n[x, y] d y=\int_{C_{2}} m[x, y] d x+n[x, y] d y ?\]
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