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Line Integrals of Vector Fields Practice Test

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Q1

Evaluate $\int_C \vec{F}\cdot d\vec{r}$ , where $\vec{F}(x,y,z)=10x^2y^2z^3\vec{i}+5z\vec{j}+2yz\vec{k}$ , and is the curve given by $\vec{r}(t)=t\vec{i}+t^2\vec{j}+t^3\vec{k}$ , $0\leq t \leq 1$ .

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