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

question 121

Multiple Choice

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) \(\frac { 5 } { 6 }\)

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