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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=⟨2xey,x2ey+cos⁡(z),−ysin⁡(z)⟩\vec{F} = \langle 2x e^y, x^2 e^y + \cos(z), -y \sin(z) \rangleF=⟨2xey,x2ey+cos(z),−ysin(z)⟩ and CCC is the path from (0,0,0)(0, 0, 0)(0,0,0) to (1,1,π)(1, 1, \pi)(1,1,π).