Let $\vec{F}$ And $\vec { G }$ Be Two 2-Dimensional Fields, Where $\vec{F}=3 x \vec{i}+5 y \vec{j}$

Short Answer

Let $\vec{F}$ and $\vec { G }$ be two 2-dimensional fields, where $\vec{F}=3 x \vec{i}+5 y \vec{j}$ and $\vec { G } = 3 y \vec { i } + 5 x \vec { j }$ Let C₁ be the circle with center (2, 2)and radius 1 oriented counterclockwise.
Let C₂ be the path consisting of the straight line segments from (0, 4)to (0, 1)and from (0, 1)to (3, 1).
Find the line integral $\int_{c_{2}} \vec{F} \cdot d \vec{r}$ Use "pi" to represent $\pi$ if necessary.