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).

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The Answer of 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).

Calculate ∫CF⃗⋅dr⃗\int_{C} \vec{F} \cdot d \vec{r}∫C​F⋅dr When F⃗→=(y+5z)i⃗+(x+4z)j⃗+4k⃗\overrightarrow { \vec { F } } = ( y + 5 z ) \vec { i } + ( x + 4 z ) \vec { j } + 4 \vec { k }F=(y+5z)i+(x+4z)j​+4k

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