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Multivariable & Vectoreasy
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Given F=⟨y,x⟩\mathbf{F} = \langle y, x \rangleF=⟨y,x⟩, calculate the line integral ∫CF⋅dr\int_C \mathbf{F} \cdot d\mathbf{r}∫C​F⋅dr along the curve r(t)=⟨t,t⟩\mathbf{r}(t) = \langle t, t \rangler(t)=⟨t,t⟩ for 0≤t≤10 \le t \le 10≤t≤1.