Evaluate the line integral $\int _ { C } \mathbf { F } \cdot d \mathbf { r }$ where $\mathbf { F } ( x , y ) = x y ^ { 2 } \mathbf { i } + y \mathbf { j }$ and the curve $C$ is the straight line from $( 0,0 )$ to $( 1,1 )$ .
A) $\frac { 1 } { 2 }$
B)$\frac { 1 } { 3 }$
C)$\frac { 1 } { 4 }$
D) $\frac { 1 } { 6 }$
E)$\frac { 3 } { 4 }$
F) $1$
G)$\frac { 2 } { 3 }$
H) $\frac { 5 } { 6 }$

Question

Evaluate the line integral $\int _ { C } \mathbf { F } \cdot d \mathbf { r }$ where $\mathbf { F } ( x , y ) = x y ^ { 2 } \mathbf { i } + y \mathbf { j }$ and the curve $C$ is the straight line from $( 0,0 )$ to $( 1,1 )$ .
A) $\frac { 1 } { 2 }$ 
B)$\frac { 1 } { 3 }$ 
C)$\frac { 1 } { 4 }$ 
D) $\frac { 1 } { 6 }$ 
E)$\frac { 3 } { 4 }$ 
F) $1$ 
G)$\frac { 2 } { 3 }$
H) $\frac { 5 } { 6 }$

Quizplus · Accepted Answer

The Answer of Evaluate the line integral $\int _ { C } \mathbf { F } \cdot d \mathbf { r }$ where $\mathbf { F } ( x , y ) = x y ^ { 2 } \mathbf { i } + y \mathbf { j }$ and the curve $C$ is the straight line from $( 0,0 )$ to $( 1,1 )$ .
A) $\frac { 1 } { 2 }$ 
B)$\frac { 1 } { 3 }$ 
C)$\frac { 1 } { 4 }$ 
D) $\frac { 1 } { 6 }$ 
E)$\frac { 3 } { 4 }$ 
F) $1$ 
G)$\frac { 2 } { 3 }$
H) $\frac { 5 } { 6 }$

Evaluate the Line Integral ∫CF⋅dr\int _ { C } \mathbf { F } \cdot d \mathbf { r }∫C​F⋅dr

Evaluate the Line Integral $\int _ { C } \mathbf { F } \cdot d \mathbf { r }$