Evaluate the Line Integral $\int _ { C } x e ^ { x ^ { 2 } } d x + y \sin y ^ { 2 } d y$

question 83

Multiple Choice

Evaluate the line integral $\int _ { C } x e ^ { x ^ { 2 } } d x + y \sin y ^ { 2 } d y$ 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) \(0\)
• B)\(\frac { 25 } { 9 }\)
• C)\(\frac { 26 } { 9 }\)
• D) \(3\)
• E) \(- \frac { 8 } { 3 }\)
• F) \(- \frac { 25 } { 9 }\)
• G)\(- \frac { 26 } { 9 }\)
• H) \(- 3\)

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