Calculate $\int_{C} \vec{F} \cdot d \vec{r}$ When $\overrightarrow { \vec { F } } = ( y + 5 z ) \vec { i } + ( x + 4 z ) \vec { j } + 4 \vec { k }$

Short Answer

Calculate $\int_{C} \vec{F} \cdot d \vec{r}$ when $\overrightarrow { \vec { F } } = ( y + 5 z ) \vec { i } + ( x + 4 z ) \vec { j } + 4 \vec { k }$ and C is the line from the origin to the point (4, 4, 4).