If $\vec { F } = 3 x ^ { 2 } \vec { i } + 4 z \sin ( 4 y z ) \vec { j } + 4 y \sin ( 4 y z ) \vec { k }$ , compute $\int_{C} \vec{F} \cdot d \vec{r}$ where C is the curve from A(0, 0, 3)to B(2, 1, 5)shown below.
Hint: messy computation can be avoided.

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The Answer of If $\vec { F } = 3 x ^ { 2 } \vec { i } + 4 z \sin ( 4 y z ) \vec { j } + 4 y \sin ( 4 y z ) \vec { k }$ , compute $\int_{C} \vec{F} \cdot d \vec{r}$ where C is the curve from A(0, 0, 3)to B(2, 1, 5)shown below.
Hint: messy computation can be avoided.

If F⃗=3x2i⃗+4zsin⁡(4yz)j⃗+4ysin⁡(4yz)k⃗\vec { F } = 3 x ^ { 2 } \vec { i } + 4 z \sin ( 4 y z ) \vec { j } + 4 y \sin ( 4 y z ) \vec { k }F=3x2i+4zsin(4yz)j​+4ysin(4yz)k

If $\vec { F } = 3 x ^ { 2 } \vec { i } + 4 z \sin ( 4 y z ) \vec { j } + 4 y \sin ( 4 y z ) \vec { k }$