Apply Green's Theorem to Evaluate the Integral $$\oint _ { C } ( 8 y + x ) d x + ( y + 3 x ) d y$$

question 126

Multiple Choice

Apply Green's Theorem to evaluate the integral.
- $$\oint _ { C } ( 8 y + x ) d x + ( y + 3 x ) d y$$
$C$ : The circle $( x - 6 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 9$

• A) \(45 \pi\)
• B) \(- 270\)
• C) \(- 30\)
• D) \(- 45 \pi\)

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