Use Green's Theorem to Evaluate the Line Integral Along the Positively

question 71

Multiple Choice

Use Green's Theorem to evaluate the line integral along the positively oriented closed curve $C$ .
$\oint _ { C } 3 x y d x + 4 x ^ { 2 } d y$ , where $\mathrm { C }$ is the triangle with vertices $( 0,0 ) , ( 3,4 )$ , and $( 0,4 )$ .

• A) 6
• B) 60
• C) 30
• D) 66