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

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) $- 2$

Correct Answer:

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