Evaluate $\int _ { c } \mathbf { F } d \mathbf { r }$ where $\mathbf { F } ( x , y ) = \left( \frac { - y } { x ^ { 2 } + y ^ { 2 } } , \frac { x } { x ^ { 2 } + y ^ { 2 } } \right)$ and the curve $C$ is given by $C : x = 5 \sin t , y = 5 \cos t , 0 \leq t \leq 2 \pi$ .
A) $10 \pi$
B) $- 2 \pi$
C)$- 4 \pi$
D)$\pi$
E)$- 10 \pi$
F)$2 \pi$
G)$4 \pi$
H)$0$

Question

Evaluate $\int _ { c } \mathbf { F } d \mathbf { r }$ where $\mathbf { F } ( x , y ) = \left( \frac { - y } { x ^ { 2 } + y ^ { 2 } } , \frac { x } { x ^ { 2 } + y ^ { 2 } } \right)$ and the curve $C$ is given by $C : x = 5 \sin t , y = 5 \cos t , 0 \leq t \leq 2 \pi$ .
A) $10 \pi$ 
B) $- 2 \pi$ 
C)$- 4 \pi$
D)$\pi$
E)$- 10 \pi$
F)$2 \pi$
G)$4 \pi$ 
H)$0$

Quizplus · Accepted Answer

The Answer of Evaluate $\int _ { c } \mathbf { F } d \mathbf { r }$ where $\mathbf { F } ( x , y ) = \left( \frac { - y } { x ^ { 2 } + y ^ { 2 } } , \frac { x } { x ^ { 2 } + y ^ { 2 } } \right)$ and the curve $C$ is given by $C : x = 5 \sin t , y = 5 \cos t , 0 \leq t \leq 2 \pi$ .
A) $10 \pi$ 
B) $- 2 \pi$ 
C)$- 4 \pi$
D)$\pi$
E)$- 10 \pi$
F)$2 \pi$
G)$4 \pi$ 
H)$0$

Evaluate ∫cFdr\int _ { c } \mathbf { F } d \mathbf { r }∫c​Fdr

Evaluate $\int _ { c } \mathbf { F } d \mathbf { r }$