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Thread: Green's Theorem

  1. December 9th 2009, 03:07 PM #1
    meks08999
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    Green's Theorem

    I need help with this problem. The problem is attached.
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  2. December 9th 2009, 03:29 PM #2
    Danny
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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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