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Multivariable & Vectorhard
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Evaluate the line integral ∫CF⋅dr\int_C \mathbf{F} \cdot d\mathbf{r}∫C​F⋅dr where F=⟨y,z,x⟩\mathbf{F} = \langle y, z, x \rangleF=⟨y,z,x⟩ and CCC is the twisted cubic r(t)=⟨t,t2,t3⟩\mathbf{r}(t) = \langle t, t^2, t^3 \rangler(t)=⟨t,t2,t3⟩ for 0≤t≤10 \le t \le 10≤t≤1.