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Multivariable & Vectorhard
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Determine the value of the line integral ∫CF⃗⋅dr⃗\int_C \vec{F} \cdot d\vec{r}∫C​F⋅dr where F⃗=⟨ey+z,xey+z,xey+z⟩\vec{F} = \langle e^{y+z}, x e^{y+z}, x e^{y+z} \rangleF=⟨ey+z,xey+z,xey+z⟩ and CCC is the line segment from (0,0,0)(0, 0, 0)(0,0,0) to (1,1,1)(1, 1, 1)(1,1,1).