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

question 149

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Use Green's Theorem to evaluate the line integral along the given positively oriented curve: CFdr\int _ { C } \mathbf { F } \cdot d \mathbf { r } , where F(x,y)=x3yi+x4j\mathbf { F } ( x , y ) = x ^ { 3 } y \mathbf { i } + x ^ { 4 } \mathbf { j } and C is the curve x4+y4=1x ^ { 4 } + y ^ { 4 } = 1 .


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