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Math Help - Green's Theorem

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    Green's Theorem

    I need help with this problem. The problem is attached.
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    Quote Originally Posted by meks08999 View Post
    I need help with this problem. The problem is attached.
    From Green's theorem

     <br />
\int \limits_C -y^3\,dx +(x^3+2x+y)\,dy =  \iint \limits_R 3x^2+2+3y^2\,dA<br />

    and since

    3x^2 + 2 +3y^2 > 0,

    then

    \iint \limits_R \left(3x^2 + 2 +3y^2 \right) dA > 0\;\; \Rightarrow\;\; \int \limits_C -y^3\,dx +(x^3+2x+y)\,dy  > 0 .
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