Evaluate the Line Integral $\int _ { C } x d y$

question 139

Multiple Choice

Evaluate the line integral $\int _ { C } x d y$ along the triangular path consisting of the line segment from $( 0,0 )$ to $( 2,3 )$ followed by the line segment from $( 2,3 )$ to $( 1,0 )$ followed by the line segment from $( 1,0 )$ to $( 0,0 )$ .

• A) \(\frac { 1 } { 2 }\)
• B)\(1\)
• C)\(\frac { 2 } { 3 }\)
• D) \(2\)
• E)\(- \frac { 1 } { 2 }\)
• F) \(- 1\)
• G) \(- \frac { 3 } { 2 }\)
• H)\(- 2\)