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

Short Answer

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