Let $\overrightarrow { \vec { F } } = ( 3 x + 15 y ) \vec { i } + ( 3 x - 3 y ) \vec { j }$

Short Answer

Let $\overrightarrow { \vec { F } } = ( 3 x + 15 y ) \vec { i } + ( 3 x - 3 y ) \vec { j }$ Evaluate $\int_{C} \vec{F} \cdot d \vec{r}$ , where C is parameterized by $\vec { r } ( t ) = t \vec { i } + \frac { 1 } { 2 } t ^ { 2 } \vec { j } , \quad 0 \leq t \leq 2$