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Calculate the line integral of the vector field \( \vec{F}=3 \vec{i}+8 \vec{j} \) along the line b ...
Calculate the line integral of the vector field \( \vec{F}=3 \vec{i}+8 \vec{j} \) along the line between the points \( (0,2) \) and \( (0,5) \). Enter an exact answer. \[ \int_{C} \vec{F} \cdot d \vec{r}= \]